Datasets:

---

suehyunpark

/

gsm_infinite_symbolic_1k

like 0

[ "V765944", "V901071" ]

[ { "content": "<context>\nassign V472894 = V687517 - 1. assign V816733 = V876839. assign V977695 = V910625 - 1. assign V187589 = V447426 + 1. assign V745159 = V297161. assign V002042 = V821755 + 1. assign V191520 = V962133. assign V665302 = V242777 - 1. assign V187122 = V243595 + 1. assign V901071 = V765944. assign V964158 = V297161. assign V881277 = V962133 + 1. assign V388322 = V961715 + 1. assign V720875 = V467617 + 1. assign V955849 = V927304. assign V167059 = V977695. assign V283929 = V647328 + 1. assign V944758 = V053467 + 1. assign V845011 = V528524 - 1. assign V146936 = V320361 + 1. assign V820899 = V330123. assign V309918 = V579602 - 1. assign V447426 = V927304 + 1. assign V023826 = V496768. assign V575304 = V909904 - 1. assign V910625 = V388322 + 1. assign V159055 = V647328. assign V451998 = V167059 + 1. assign V647328 = V191520 - 1. assign V366197 = V909904 - 1. assign V035933 = V187122 - 1. assign V622660 = V467617. assign V318913 = V257454 + 1. assign V961715 = V053467 - 1. assign V127936 = V961715. assign V133086 = V053467 - 1. assign V398493 = V320361 + 1. assign V431739 = V167059 - 1. assign V467617 = V297161 + 1. assign V579602 = V297161 + 1. assign V711876 = V187589 - 1. assign V257454 = V297161 - 1. assign V084582 = V035933 - 1. assign V624568 = V388322 - 1. assign V876839 = V955849 - 1. assign V962133 = V927304. assign V243595 = V944758 + 1. assign V927304 = V053467 - 1. assign V852466 = V191520 + 1. assign V984303 = V910625 + 1. assign V610245 = V622660 - 1. assign V528524 = V579602 + 1. assign V297161 = V053467 - 1. assign V725502 = V944758 - 1. assign V851073 = V610245 - 1. assign V435836 = V191520 - 1. assign V473728 = V320361. assign V171077 = V984303 - 1. assign V333967 = V127936. assign V242777 = V984303 + 1. assign V690911 = V518763 - 1. assign V128799 = V821755. assign V909904 = V435836. assign V119015 = V791985 + 1. assign V496768 = V816733 - 1. assign V647257 = V984303 + 1. assign V995790 = V927304 - 1. assign V046918 = V610245 + 1. assign V176848 = V171077. assign V687517 = V816733 - 1. assign V004608 = V791985 - 1. assign V518763 = V962133 + 1. assign V821755 = V964158. assign V381022 = V647328 + 1. assign V490306 = V171077 - 1. assign V443338 = V320361. assign V414025 = V127936 - 1. assign V985102 = V435836 + 1. assign V765944 = 5. assign V138022 = V881277 - 1. assign V732782 = V381022. assign V372459 = V876839. assign V320361 = V257454 + 1. assign V330123 = V961715 - 1. assign V791985 = V961715. assign V446438 = V187589 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V472894 = V687517 - 1. assign V816733 = V876839. assign V977695 = V910625 - 1. assign V187589 = V447426 + 1. assign V745159 = V297161. assign V002042 = V821755 + 1. assign V191520 = V962133. assign V665302 = V242777 - 1. assign V187122 = V243595 + 1. assign V901071 = V765944. assign V964158 = V297161. assign V881277 = V962133 + 1. assign V388322 = V961715 + 1. assign V720875 = V467617 + 1. assign V955849 = V927304. assign V167059 = V977695. assign V283929 = V647328 + 1. assign V944758 = V053467 + 1. assign V845011 = V528524 - 1. assign V146936 = V320361 + 1. assign V820899 = V330123. assign V309918 = V579602 - 1. assign V447426 = V927304 + 1. assign V023826 = V496768. assign V575304 = V909904 - 1. assign V910625 = V388322 + 1. assign V159055 = V647328. assign V451998 = V167059 + 1. assign V647328 = V191520 - 1. assign V366197 = V909904 - 1. assign V035933 = V187122 - 1. assign V622660 = V467617. assign V318913 = V257454 + 1. assign V961715 = V053467 - 1. assign V127936 = V961715. assign V133086 = V053467 - 1. assign V398493 = V320361 + 1. assign V431739 = V167059 - 1. assign V467617 = V297161 + 1. assign V579602 = V297161 + 1. assign V711876 = V187589 - 1. assign V257454 = V297161 - 1. assign V084582 = V035933 - 1. assign V624568 = V388322 - 1. assign V876839 = V955849 - 1. assign V962133 = V927304. assign V243595 = V944758 + 1. assign V927304 = V053467 - 1. assign V852466 = V191520 + 1. assign V984303 = V910625 + 1. assign V610245 = V622660 - 1. assign V528524 = V579602 + 1. assign V297161 = V053467 - 1. assign V725502 = V944758 - 1. assign V851073 = V610245 - 1. assign V435836 = V191520 - 1. assign V473728 = V320361. assign V171077 = V984303 - 1. assign V333967 = V127936. assign V242777 = V984303 + 1. assign V690911 = V518763 - 1. assign V128799 = V821755. assign V909904 = V435836. assign V119015 = V791985 + 1. assign V496768 = V816733 - 1. assign V647257 = V984303 + 1. assign V995790 = V927304 - 1. assign V046918 = V610245 + 1. assign V176848 = V171077. assign V687517 = V816733 - 1. assign V004608 = V791985 - 1. assign V518763 = V962133 + 1. assign V821755 = V964158. assign V381022 = V647328 + 1. assign V490306 = V171077 - 1. assign V443338 = V320361. assign V414025 = V127936 - 1. assign V985102 = V435836 + 1. assign V765944 = 5. assign V138022 = V881277 - 1. assign V732782 = V381022. assign V372459 = V876839. assign V320361 = V257454 + 1. assign V330123 = V961715 - 1. assign V791985 = V961715. assign V446438 = V187589 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV765944 = 5;\n\nFrom these direct assignment(s), we have: \nV901071 = V765944 = 5;\nNo other variables can be derived from V901071;\nNo other variables can be derived from V765944;\n\nNow we have done all the calculations. Derived variables are:\nV765944 = 5;\nV901071 = 5;\n\nNow we have finished this problem. ANSWER:\nV765944, V901071\n", "role": "assistant" } ]

[ "V387423", "V548654" ]

[ { "content": "<context>\nassign V734034 = V420888 - 1. assign V548064 = V607979 + 1. assign V548654 = V387423. assign V350442 = V885406 + 1. assign V227991 = V566718 - 1. assign V611848 = V438855 - 1. assign V132119 = V508709 + 1. assign V636427 = V860774 + 1. assign V283173 = V258742. assign V547288 = V608874 + 1. assign V487758 = V556553. assign V258742 = V420888 + 1. assign V159832 = V783679 + 1. assign V617982 = V877633 - 1. assign V554443 = V607499 - 1. assign V181852 = V607979 + 1. assign V817533 = V734034 - 1. assign V161248 = V387585. assign V885406 = V937268. assign V280935 = V242302. assign V311905 = V806902 - 1. assign V529890 = V607499. assign V860774 = V796161. assign V312257 = V374980 + 1. assign V441324 = V123285. assign V047928 = V004501 - 1. assign V004501 = V420888 + 1. assign V796161 = V438855. assign V877633 = V020528 + 1. assign V835439 = V020528 + 1. assign V282143 = V132119 - 1. assign V242302 = V611848 - 1. assign V387423 = 9. assign V420888 = V296375 - 1. assign V662757 = V818185. assign V556553 = V607499. assign V387340 = V317336. assign V744853 = V027362. assign V187605 = V508709. assign V355685 = V155642 - 1. assign V101313 = V566718. assign V320958 = V420888 - 1. assign V783679 = V420888 + 1. assign V110593 = V611848. assign V806902 = V020528 - 1. assign V041385 = V529890 + 1. assign V818185 = V387340 - 1. assign V692327 = V123285 - 1. assign V155642 = V877633. assign V027362 = V227991. assign V183522 = V258742. assign V979034 = V420888. assign V317336 = V438855 - 1. assign V374980 = V734034 - 1. assign V237571 = V783679 + 1. assign V508709 = V101313 - 1. assign V438855 = V020528 + 1. assign V858754 = V734034 - 1. assign V607499 = V611848 + 1. assign V545780 = V529890 + 1. assign V122475 = V438855. assign V123285 = V020528 + 1. assign V641210 = V374980. assign V937268 = V692327 - 1. assign V720108 = V041385 + 1. assign V566718 = V420888 + 1. assign V901042 = V123285 + 1. assign V964391 = V487758 + 1. assign V207767 = V885406 + 1. assign V930852 = V420888. assign V608874 = V155642 + 1. assign V652213 = V877633. assign V588678 = V989328 + 1. assign V375842 = V860774 - 1. assign V252680 = V860774. assign V718609 = V020528. assign V204564 = V020528 - 1. assign V989328 = V420888. assign V607347 = V317336 - 1. assign V296375 = V020528 - 1. assign V033075 = V004501. assign V607979 = V588678 + 1. assign V852902 = V718609. assign V437623 = V004501 - 1. assign V952748 = V020528 + 1. assign V387585 = V320958 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V734034 = V420888 - 1. assign V548064 = V607979 + 1. assign V548654 = V387423. assign V350442 = V885406 + 1. assign V227991 = V566718 - 1. assign V611848 = V438855 - 1. assign V132119 = V508709 + 1. assign V636427 = V860774 + 1. assign V283173 = V258742. assign V547288 = V608874 + 1. assign V487758 = V556553. assign V258742 = V420888 + 1. assign V159832 = V783679 + 1. assign V617982 = V877633 - 1. assign V554443 = V607499 - 1. assign V181852 = V607979 + 1. assign V817533 = V734034 - 1. assign V161248 = V387585. assign V885406 = V937268. assign V280935 = V242302. assign V311905 = V806902 - 1. assign V529890 = V607499. assign V860774 = V796161. assign V312257 = V374980 + 1. assign V441324 = V123285. assign V047928 = V004501 - 1. assign V004501 = V420888 + 1. assign V796161 = V438855. assign V877633 = V020528 + 1. assign V835439 = V020528 + 1. assign V282143 = V132119 - 1. assign V242302 = V611848 - 1. assign V387423 = 9. assign V420888 = V296375 - 1. assign V662757 = V818185. assign V556553 = V607499. assign V387340 = V317336. assign V744853 = V027362. assign V187605 = V508709. assign V355685 = V155642 - 1. assign V101313 = V566718. assign V320958 = V420888 - 1. assign V783679 = V420888 + 1. assign V110593 = V611848. assign V806902 = V020528 - 1. assign V041385 = V529890 + 1. assign V818185 = V387340 - 1. assign V692327 = V123285 - 1. assign V155642 = V877633. assign V027362 = V227991. assign V183522 = V258742. assign V979034 = V420888. assign V317336 = V438855 - 1. assign V374980 = V734034 - 1. assign V237571 = V783679 + 1. assign V508709 = V101313 - 1. assign V438855 = V020528 + 1. assign V858754 = V734034 - 1. assign V607499 = V611848 + 1. assign V545780 = V529890 + 1. assign V122475 = V438855. assign V123285 = V020528 + 1. assign V641210 = V374980. assign V937268 = V692327 - 1. assign V720108 = V041385 + 1. assign V566718 = V420888 + 1. assign V901042 = V123285 + 1. assign V964391 = V487758 + 1. assign V207767 = V885406 + 1. assign V930852 = V420888. assign V608874 = V155642 + 1. assign V652213 = V877633. assign V588678 = V989328 + 1. assign V375842 = V860774 - 1. assign V252680 = V860774. assign V718609 = V020528. assign V204564 = V020528 - 1. assign V989328 = V420888. assign V607347 = V317336 - 1. assign V296375 = V020528 - 1. assign V033075 = V004501. assign V607979 = V588678 + 1. assign V852902 = V718609. assign V437623 = V004501 - 1. assign V952748 = V020528 + 1. assign V387585 = V320958 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV387423 = 9;\n\nFrom these direct assignment(s), we have: \nV548654 = V387423 = 9;\nNo other variables can be derived from V548654;\nNo other variables can be derived from V387423;\n\nNow we have done all the calculations. Derived variables are:\nV387423 = 9;\nV548654 = 9;\n\nNow we have finished this problem. ANSWER:\nV387423, V548654\n", "role": "assistant" } ]

[ "V670583" ]

[ { "content": "<context>\nassign V210301 = V335855. assign V954355 = V379230. assign V206709 = V893071 - 1. assign V876901 = V650470. assign V774715 = V744117 - 1. assign V335855 = V733857. assign V320519 = V322919 + 1. assign V592226 = V457435. assign V380580 = V297899 + 1. assign V893071 = V194759. assign V192622 = V721349 + 1. assign V864191 = V269726. assign V670583 = V909904 - 1. assign V353365 = V246018. assign V733857 = V893071 - 1. assign V146556 = V733857. assign V922519 = V194759. assign V457435 = V509554. assign V333354 = V420684 + 1. assign V136722 = V938428. assign V190598 = V745594 - 1. assign V546577 = V379230 - 1. assign V059426 = V954355 + 1. assign V572281 = V650470 + 1. assign V902984 = V156102 + 1. assign V691937 = V745594 + 1. assign V890153 = V893071. assign V156102 = V724637 - 1. assign V635244 = V063469. assign V397233 = V650470 + 1. assign V711935 = V546567 - 1. assign V709134 = V938428. assign V322919 = V506148 + 1. assign V509078 = V876901. assign V192431 = V902984 + 1. assign V128630 = V490219 + 1. assign V379230 = V329981 - 1. assign V926781 = V329981 + 1. assign V558312 = V506148 - 1. assign V745594 = V506148 + 1. assign V587769 = V546577 - 1. assign V269726 = V592226 + 1. assign V002296 = V890153 - 1. assign V417024 = V746054. assign V746054 = V744117. assign V804629 = V329981. assign V815153 = V890153. assign V997427 = V509554 + 1. assign V721349 = V902984. assign V194759 = V329981. assign V546567 = V333354 + 1. assign V012858 = V733857 - 1. assign V020324 = V457435. assign V001310 = V335855. assign V498983 = V922519 + 1. assign V490219 = V893071 + 1. assign V509554 = V709134 - 1. assign V437315 = V711935 + 1. assign V724637 = V938428. assign V744117 = V938428 + 1. assign V063469 = V804629 - 1. assign V414586 = V123148. assign V607775 = V745594 + 1. assign V650470 = V420684 + 1. assign V164529 = V490219 - 1. assign V246018 = V744117. assign V449543 = V711935 + 1. assign V416004 = V297899 - 1. assign V942864 = V709134. assign V909904 = 0. assign V656715 = V190598. assign V420684 = V329981. assign V337450 = V650470. assign V403687 = V146556 - 1. assign V693388 = V136722 - 1. assign V123148 = V380580 + 1. assign V938428 = V804629. assign V878934 = V420684 + 1. assign V680967 = V063469 + 1. assign V506148 = V123148 + 1. assign V240137 = V744117 - 1. assign V297899 = V744117 + 1. assign V829690 = V938428 - 1. assign V284786 = V379230 + 1. assign V083189 = V635244. assign V466528 = V333354 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V210301 = V335855. assign V954355 = V379230. assign V206709 = V893071 - 1. assign V876901 = V650470. assign V774715 = V744117 - 1. assign V335855 = V733857. assign V320519 = V322919 + 1. assign V592226 = V457435. assign V380580 = V297899 + 1. assign V893071 = V194759. assign V192622 = V721349 + 1. assign V864191 = V269726. assign V670583 = V909904 - 1. assign V353365 = V246018. assign V733857 = V893071 - 1. assign V146556 = V733857. assign V922519 = V194759. assign V457435 = V509554. assign V333354 = V420684 + 1. assign V136722 = V938428. assign V190598 = V745594 - 1. assign V546577 = V379230 - 1. assign V059426 = V954355 + 1. assign V572281 = V650470 + 1. assign V902984 = V156102 + 1. assign V691937 = V745594 + 1. assign V890153 = V893071. assign V156102 = V724637 - 1. assign V635244 = V063469. assign V397233 = V650470 + 1. assign V711935 = V546567 - 1. assign V709134 = V938428. assign V322919 = V506148 + 1. assign V509078 = V876901. assign V192431 = V902984 + 1. assign V128630 = V490219 + 1. assign V379230 = V329981 - 1. assign V926781 = V329981 + 1. assign V558312 = V506148 - 1. assign V745594 = V506148 + 1. assign V587769 = V546577 - 1. assign V269726 = V592226 + 1. assign V002296 = V890153 - 1. assign V417024 = V746054. assign V746054 = V744117. assign V804629 = V329981. assign V815153 = V890153. assign V997427 = V509554 + 1. assign V721349 = V902984. assign V194759 = V329981. assign V546567 = V333354 + 1. assign V012858 = V733857 - 1. assign V020324 = V457435. assign V001310 = V335855. assign V498983 = V922519 + 1. assign V490219 = V893071 + 1. assign V509554 = V709134 - 1. assign V437315 = V711935 + 1. assign V724637 = V938428. assign V744117 = V938428 + 1. assign V063469 = V804629 - 1. assign V414586 = V123148. assign V607775 = V745594 + 1. assign V650470 = V420684 + 1. assign V164529 = V490219 - 1. assign V246018 = V744117. assign V449543 = V711935 + 1. assign V416004 = V297899 - 1. assign V942864 = V709134. assign V909904 = 0. assign V656715 = V190598. assign V420684 = V329981. assign V337450 = V650470. assign V403687 = V146556 - 1. assign V693388 = V136722 - 1. assign V123148 = V380580 + 1. assign V938428 = V804629. assign V878934 = V420684 + 1. assign V680967 = V063469 + 1. assign V506148 = V123148 + 1. assign V240137 = V744117 - 1. assign V297899 = V744117 + 1. assign V829690 = V938428 - 1. assign V284786 = V379230 + 1. assign V083189 = V635244. assign V466528 = V333354 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV909904 = 0;\n\nFrom these direct assignment(s), we have: \nV670583 = V909904 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V670583;\nNo other variables can be derived from V909904;\n\nNow we have done all the calculations. Derived variables are:\nV909904 = 0;\nV670583 = -1;\n\nNow we have finished this problem. ANSWER:\nV670583\n", "role": "assistant" } ]

[ "V466795" ]

[ { "content": "<context>\nassign V630614 = V328739 + 1. assign V448383 = V822965 - 1. assign V987662 = V080474 - 1. assign V309607 = V781571 - 1. assign V080474 = V726123 + 1. assign V778144 = V181379 + 1. assign V138383 = V276048 + 1. assign V527894 = V565528 + 1. assign V948514 = V822965 - 1. assign V545896 = V698825 - 1. assign V981076 = V003134 - 1. assign V698825 = V004488 - 1. assign V705156 = V003134 + 1. assign V896082 = V004488. assign V527282 = V349988 + 1. assign V376134 = V108067 - 1. assign V747749 = V004449 - 1. assign V378089 = V319997 + 1. assign V139070 = V781571. assign V565253 = V015647 - 1. assign V007667 = V706492 + 1. assign V108067 = V015647 - 1. assign V754172 = V015647. assign V754831 = V004449 - 1. assign V015647 = V923367. assign V487504 = V108067. assign V436350 = V781571 + 1. assign V582816 = V004488. assign V475642 = V003134 - 1. assign V681521 = V609370 + 1. assign V181379 = V930840. assign V029051 = V475642. assign V385809 = V029051 - 1. assign V796935 = V436350 + 1. assign V295839 = V852037 + 1. assign V295635 = V024210. assign V193739 = V734694 - 1. assign V917243 = V004449 - 1. assign V249044 = V015647 - 1. assign V178417 = V930840 + 1. assign V609370 = V436350. assign V852037 = V319997 + 1. assign V236173 = V545896 + 1. assign V923367 = V565528 - 1. assign V930840 = V004488 - 1. assign V988580 = V036281. assign V000102 = V565528 + 1. assign V706492 = V295839. assign V717878 = V029051 + 1. assign V038656 = V630614 + 1. assign V003134 = V565528. assign V694467 = V328739 - 1. assign V024210 = V015647. assign V522280 = V015647. assign V004449 = V565528. assign V726123 = V236173 + 1. assign V749938 = V029051 + 1. assign V822965 = V319997 + 1. assign V978743 = V004488 + 1. assign V427238 = V852037 - 1. assign V054742 = V328739. assign V001901 = V705156 - 1. assign V349988 = V698825 - 1. assign V004488 = V705156 - 1. assign V319997 = V003134 + 1. assign V595499 = V717878. assign V328739 = V139070 + 1. assign V734694 = V015647 - 1. assign V251288 = V349988 + 1. assign V555197 = V427238 - 1. assign V386960 = V726123 - 1. assign V388564 = V029051 + 1. assign V158882 = V522280 - 1. assign V036281 = V236173 - 1. assign V248733 = V139070 + 1. assign V366386 = V749938 - 1. assign V320842 = V466795 - 1. assign V177867 = V004449 + 1. assign V090597 = V004488 - 1. assign V912104 = V448383 - 1. assign V671786 = V236173 + 1. assign V781571 = V565528 - 1. assign V276048 = V004449. assign V602580 = V139070 - 1. assign V499955 = V595499 + 1. assign V466795 = 9.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V630614 = V328739 + 1. assign V448383 = V822965 - 1. assign V987662 = V080474 - 1. assign V309607 = V781571 - 1. assign V080474 = V726123 + 1. assign V778144 = V181379 + 1. assign V138383 = V276048 + 1. assign V527894 = V565528 + 1. assign V948514 = V822965 - 1. assign V545896 = V698825 - 1. assign V981076 = V003134 - 1. assign V698825 = V004488 - 1. assign V705156 = V003134 + 1. assign V896082 = V004488. assign V527282 = V349988 + 1. assign V376134 = V108067 - 1. assign V747749 = V004449 - 1. assign V378089 = V319997 + 1. assign V139070 = V781571. assign V565253 = V015647 - 1. assign V007667 = V706492 + 1. assign V108067 = V015647 - 1. assign V754172 = V015647. assign V754831 = V004449 - 1. assign V015647 = V923367. assign V487504 = V108067. assign V436350 = V781571 + 1. assign V582816 = V004488. assign V475642 = V003134 - 1. assign V681521 = V609370 + 1. assign V181379 = V930840. assign V029051 = V475642. assign V385809 = V029051 - 1. assign V796935 = V436350 + 1. assign V295839 = V852037 + 1. assign V295635 = V024210. assign V193739 = V734694 - 1. assign V917243 = V004449 - 1. assign V249044 = V015647 - 1. assign V178417 = V930840 + 1. assign V609370 = V436350. assign V852037 = V319997 + 1. assign V236173 = V545896 + 1. assign V923367 = V565528 - 1. assign V930840 = V004488 - 1. assign V988580 = V036281. assign V000102 = V565528 + 1. assign V706492 = V295839. assign V717878 = V029051 + 1. assign V038656 = V630614 + 1. assign V003134 = V565528. assign V694467 = V328739 - 1. assign V024210 = V015647. assign V522280 = V015647. assign V004449 = V565528. assign V726123 = V236173 + 1. assign V749938 = V029051 + 1. assign V822965 = V319997 + 1. assign V978743 = V004488 + 1. assign V427238 = V852037 - 1. assign V054742 = V328739. assign V001901 = V705156 - 1. assign V349988 = V698825 - 1. assign V004488 = V705156 - 1. assign V319997 = V003134 + 1. assign V595499 = V717878. assign V328739 = V139070 + 1. assign V734694 = V015647 - 1. assign V251288 = V349988 + 1. assign V555197 = V427238 - 1. assign V386960 = V726123 - 1. assign V388564 = V029051 + 1. assign V158882 = V522280 - 1. assign V036281 = V236173 - 1. assign V248733 = V139070 + 1. assign V366386 = V749938 - 1. assign V320842 = V466795 - 1. assign V177867 = V004449 + 1. assign V090597 = V004488 - 1. assign V912104 = V448383 - 1. assign V671786 = V236173 + 1. assign V781571 = V565528 - 1. assign V276048 = V004449. assign V602580 = V139070 - 1. assign V499955 = V595499 + 1. assign V466795 = 9.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV466795 = 9;\n\nFrom these direct assignment(s), we have: \nV320842 = V466795 - 1 = 9 - 1 =8;\nNo other variables can be derived from V320842;\nNo other variables can be derived from V466795;\n\nNow we have done all the calculations. Derived variables are:\nV466795 = 9;\nV320842 = 8;\n\nNow we have finished this problem. ANSWER:\nV466795\n", "role": "assistant" } ]

[ "V076335" ]

[ { "content": "<context>\nassign V200234 = V195118. assign V774980 = V484833 - 1. assign V517733 = V158486 + 1. assign V749200 = V282634. assign V710485 = V195118 - 1. assign V076163 = V257726 + 1. assign V195118 = V929622. assign V146932 = V171609 + 1. assign V353364 = V929622. assign V564909 = V074927 - 1. assign V985790 = V882255. assign V640293 = V883833 + 1. assign V098281 = V838603 + 1. assign V929087 = V200766 - 1. assign V088593 = V884582 - 1. assign V351751 = V067740 + 1. assign V838603 = V884582 - 1. assign V817211 = V882255. assign V960833 = V257726 + 1. assign V761089 = V067740 - 1. assign V783119 = V088593 + 1. assign V248464 = V018909 + 1. assign V076335 = 3. assign V498457 = V699667. assign V199819 = V929087. assign V699667 = V254544 - 1. assign V395280 = V884582 + 1. assign V158486 = V088593 + 1. assign V096257 = V988675. assign V947888 = V988675. assign V282634 = V985790. assign V300838 = V640293 - 1. assign V212527 = V727867 - 1. assign V766002 = V061165 - 1. assign V062386 = V929622 - 1. assign V067440 = V124085 - 1. assign V905875 = V076163 - 1. assign V029464 = V884582. assign V124085 = V409077 + 1. assign V407704 = V462007 + 1. assign V734315 = V611221 + 1. assign V257726 = V557008. assign V882255 = V611221 + 1. assign V061165 = V960833. assign V281127 = V856972 - 1. assign V409077 = V699667. assign V929622 = V257726 - 1. assign V611221 = V884582 + 1. assign V727867 = V838603 - 1. assign V171609 = V611221. assign V143504 = V882255. assign V934546 = V158486. assign V884582 = V564909. assign V607186 = V699667 - 1. assign V378605 = V727867 - 1. assign V721948 = V200766. assign V931433 = V409077. assign V921527 = V254544 + 1. assign V462007 = V067740 + 1. assign V044973 = V611221 + 1. assign V146496 = V873712 + 1. assign V254544 = V988675 - 1. assign V047334 = V409077. assign V856972 = V988675 - 1. assign V067740 = V018909 + 1. assign V018909 = V611221 - 1. assign V652802 = V195118 - 1. assign V335956 = V565726. assign V780828 = V018909 + 1. assign V484833 = V029464. assign V565726 = V074927 - 1. assign V210519 = V884582 + 1. assign V883833 = V088593 - 1. assign V747383 = V611221 - 1. assign V873712 = V882255. assign V716671 = V960833 + 1. assign V442535 = V607186 - 1. assign V567122 = V254544 - 1. assign V164411 = V988675 + 1. assign V200766 = V124085. assign V745311 = V076335 - 1. assign V682204 = V281127. assign V988675 = V074927. assign V557008 = V088593 - 1. assign V324336 = V856972. assign V785682 = V564909.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V200234 = V195118. assign V774980 = V484833 - 1. assign V517733 = V158486 + 1. assign V749200 = V282634. assign V710485 = V195118 - 1. assign V076163 = V257726 + 1. assign V195118 = V929622. assign V146932 = V171609 + 1. assign V353364 = V929622. assign V564909 = V074927 - 1. assign V985790 = V882255. assign V640293 = V883833 + 1. assign V098281 = V838603 + 1. assign V929087 = V200766 - 1. assign V088593 = V884582 - 1. assign V351751 = V067740 + 1. assign V838603 = V884582 - 1. assign V817211 = V882255. assign V960833 = V257726 + 1. assign V761089 = V067740 - 1. assign V783119 = V088593 + 1. assign V248464 = V018909 + 1. assign V076335 = 3. assign V498457 = V699667. assign V199819 = V929087. assign V699667 = V254544 - 1. assign V395280 = V884582 + 1. assign V158486 = V088593 + 1. assign V096257 = V988675. assign V947888 = V988675. assign V282634 = V985790. assign V300838 = V640293 - 1. assign V212527 = V727867 - 1. assign V766002 = V061165 - 1. assign V062386 = V929622 - 1. assign V067440 = V124085 - 1. assign V905875 = V076163 - 1. assign V029464 = V884582. assign V124085 = V409077 + 1. assign V407704 = V462007 + 1. assign V734315 = V611221 + 1. assign V257726 = V557008. assign V882255 = V611221 + 1. assign V061165 = V960833. assign V281127 = V856972 - 1. assign V409077 = V699667. assign V929622 = V257726 - 1. assign V611221 = V884582 + 1. assign V727867 = V838603 - 1. assign V171609 = V611221. assign V143504 = V882255. assign V934546 = V158486. assign V884582 = V564909. assign V607186 = V699667 - 1. assign V378605 = V727867 - 1. assign V721948 = V200766. assign V931433 = V409077. assign V921527 = V254544 + 1. assign V462007 = V067740 + 1. assign V044973 = V611221 + 1. assign V146496 = V873712 + 1. assign V254544 = V988675 - 1. assign V047334 = V409077. assign V856972 = V988675 - 1. assign V067740 = V018909 + 1. assign V018909 = V611221 - 1. assign V652802 = V195118 - 1. assign V335956 = V565726. assign V780828 = V018909 + 1. assign V484833 = V029464. assign V565726 = V074927 - 1. assign V210519 = V884582 + 1. assign V883833 = V088593 - 1. assign V747383 = V611221 - 1. assign V873712 = V882255. assign V716671 = V960833 + 1. assign V442535 = V607186 - 1. assign V567122 = V254544 - 1. assign V164411 = V988675 + 1. assign V200766 = V124085. assign V745311 = V076335 - 1. assign V682204 = V281127. assign V988675 = V074927. assign V557008 = V088593 - 1. assign V324336 = V856972. assign V785682 = V564909.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV076335 = 3;\n\nFrom these direct assignment(s), we have: \nV745311 = V076335 - 1 = 3 - 1 =2;\nNo other variables can be derived from V745311;\nNo other variables can be derived from V076335;\n\nNow we have done all the calculations. Derived variables are:\nV076335 = 3;\nV745311 = 2;\n\nNow we have finished this problem. ANSWER:\nV076335\n", "role": "assistant" } ]

[ "V689209" ]

[ { "content": "<context>\nassign V819409 = V824571. assign V763398 = V695412 + 1. assign V689209 = 2. assign V187991 = V647106. assign V737589 = V246024 + 1. assign V060598 = V776109. assign V726652 = V612553 - 1. assign V395618 = V695412 - 1. assign V130267 = V714501 + 1. assign V001604 = V423645 - 1. assign V287586 = V744746 - 1. assign V587481 = V195128. assign V901684 = V824571 + 1. assign V982300 = V025109 - 1. assign V505673 = V726652 - 1. assign V195128 = V744746 - 1. assign V202026 = V505673 + 1. assign V451289 = V400717. assign V066378 = V824571 - 1. assign V619091 = V982300. assign V634635 = V428294. assign V453961 = V726652 + 1. assign V935885 = V137044 + 1. assign V714501 = V176591 + 1. assign V695412 = V156449 - 1. assign V776109 = V612553. assign V683652 = V423645. assign V409554 = V505673 - 1. assign V025109 = V195128 - 1. assign V289295 = V287586 - 1. assign V246024 = V647106. assign V417422 = V428294 + 1. assign V135095 = V417422 - 1. assign V176591 = V428294 - 1. assign V109824 = V046979. assign V129580 = V612553 - 1. assign V744881 = V428294 - 1. assign V616677 = V187991. assign V451319 = V156449. assign V520071 = V714501. assign V433831 = V025109 + 1. assign V740765 = V428294 + 1. assign V472054 = V689209 - 1. assign V683650 = V202026 - 1. assign V094240 = V726652 - 1. assign V744746 = V451319 - 1. assign V628905 = V451319 + 1. assign V647106 = V982300 + 1. assign V722992 = V423645 + 1. assign V824571 = V050944 + 1. assign V040468 = V444715 - 1. assign V428294 = V726652 + 1. assign V269902 = V634635 - 1. assign V528324 = V819409 + 1. assign V022015 = V634635. assign V050944 = V428294 + 1. assign V091028 = V453961 + 1. assign V137044 = V091028 + 1. assign V651207 = V187991. assign V149319 = V113965. assign V423645 = V634635 + 1. assign V206212 = V505673 + 1. assign V444715 = V801761. assign V495573 = V094240. assign V151005 = V417422. assign V709055 = V495573. assign V801761 = V819409 + 1. assign V400717 = V520071 - 1. assign V005019 = V137044 + 1. assign V495013 = V901684 - 1. assign V964257 = V135095 - 1. assign V755305 = V168398. assign V046979 = V287586 - 1. assign V015170 = V744746. assign V268220 = V528324. assign V989352 = V901684. assign V355277 = V587481 - 1. assign V617877 = V168398 - 1. assign V018740 = V651207 + 1. assign V347146 = V113965. assign V113965 = V901684. assign V539220 = V409554 + 1. assign V567059 = V744746 - 1. assign V156449 = V428294. assign V919366 = V156449 - 1. assign V168398 = V187991 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V819409 = V824571. assign V763398 = V695412 + 1. assign V689209 = 2. assign V187991 = V647106. assign V737589 = V246024 + 1. assign V060598 = V776109. assign V726652 = V612553 - 1. assign V395618 = V695412 - 1. assign V130267 = V714501 + 1. assign V001604 = V423645 - 1. assign V287586 = V744746 - 1. assign V587481 = V195128. assign V901684 = V824571 + 1. assign V982300 = V025109 - 1. assign V505673 = V726652 - 1. assign V195128 = V744746 - 1. assign V202026 = V505673 + 1. assign V451289 = V400717. assign V066378 = V824571 - 1. assign V619091 = V982300. assign V634635 = V428294. assign V453961 = V726652 + 1. assign V935885 = V137044 + 1. assign V714501 = V176591 + 1. assign V695412 = V156449 - 1. assign V776109 = V612553. assign V683652 = V423645. assign V409554 = V505673 - 1. assign V025109 = V195128 - 1. assign V289295 = V287586 - 1. assign V246024 = V647106. assign V417422 = V428294 + 1. assign V135095 = V417422 - 1. assign V176591 = V428294 - 1. assign V109824 = V046979. assign V129580 = V612553 - 1. assign V744881 = V428294 - 1. assign V616677 = V187991. assign V451319 = V156449. assign V520071 = V714501. assign V433831 = V025109 + 1. assign V740765 = V428294 + 1. assign V472054 = V689209 - 1. assign V683650 = V202026 - 1. assign V094240 = V726652 - 1. assign V744746 = V451319 - 1. assign V628905 = V451319 + 1. assign V647106 = V982300 + 1. assign V722992 = V423645 + 1. assign V824571 = V050944 + 1. assign V040468 = V444715 - 1. assign V428294 = V726652 + 1. assign V269902 = V634635 - 1. assign V528324 = V819409 + 1. assign V022015 = V634635. assign V050944 = V428294 + 1. assign V091028 = V453961 + 1. assign V137044 = V091028 + 1. assign V651207 = V187991. assign V149319 = V113965. assign V423645 = V634635 + 1. assign V206212 = V505673 + 1. assign V444715 = V801761. assign V495573 = V094240. assign V151005 = V417422. assign V709055 = V495573. assign V801761 = V819409 + 1. assign V400717 = V520071 - 1. assign V005019 = V137044 + 1. assign V495013 = V901684 - 1. assign V964257 = V135095 - 1. assign V755305 = V168398. assign V046979 = V287586 - 1. assign V015170 = V744746. assign V268220 = V528324. assign V989352 = V901684. assign V355277 = V587481 - 1. assign V617877 = V168398 - 1. assign V018740 = V651207 + 1. assign V347146 = V113965. assign V113965 = V901684. assign V539220 = V409554 + 1. assign V567059 = V744746 - 1. assign V156449 = V428294. assign V919366 = V156449 - 1. assign V168398 = V187991 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV689209 = 2;\n\nFrom these direct assignment(s), we have: \nV472054 = V689209 - 1 = 2 - 1 =1;\nNo other variables can be derived from V472054;\nNo other variables can be derived from V689209;\n\nNow we have done all the calculations. Derived variables are:\nV689209 = 2;\nV472054 = 1;\n\nNow we have finished this problem. ANSWER:\nV689209\n", "role": "assistant" } ]

[ "V633644" ]

[ { "content": "<context>\nassign V869458 = V162742 + 1. assign V503626 = V898477 - 1. assign V308210 = V834514 - 1. assign V664345 = V485977. assign V063880 = V103145 - 1. assign V783988 = V759801 + 1. assign V633644 = V083841 - 1. assign V251551 = V162742. assign V345719 = V090931. assign V016655 = V869458 - 1. assign V797456 = V094248 + 1. assign V622835 = V482437. assign V155083 = V192638. assign V660354 = V958167 + 1. assign V458885 = V803741 - 1. assign V216787 = V103145 + 1. assign V470674 = V549163 + 1. assign V477081 = V482437 - 1. assign V783067 = V427763 + 1. assign V386723 = V087566 - 1. assign V231938 = V631734 - 1. assign V039952 = V294022 - 1. assign V034723 = V944267 + 1. assign V899336 = V801781 + 1. assign V980350 = V345719 - 1. assign V094248 = V958167 - 1. assign V302666 = V622835. assign V087566 = V117372 - 1. assign V285401 = V549163. assign V713349 = V535806. assign V759801 = V817293 - 1. assign V853241 = V660354. assign V098092 = V162742 + 1. assign V983634 = V117372 + 1. assign V362117 = V384318 - 1. assign V928143 = V098092 + 1. assign V585375 = V797456. assign V494465 = V535806. assign V838715 = V958167. assign V026660 = V980350 + 1. assign V021379 = V094248. assign V294022 = V980350 - 1. assign V834514 = V094248 - 1. assign V595694 = V063880 - 1. assign V482437 = V285401 + 1. assign V875411 = V162742 - 1. assign V490586 = V535806. assign V817293 = V021379. assign V932016 = V875411. assign V461337 = V094248 - 1. assign V446089 = V834514 + 1. assign V341830 = V958167. assign V103145 = V897381 + 1. assign V261460 = V713349. assign V936616 = V016655 + 1. assign V549163 = V446089 - 1. assign V897381 = V549163 - 1. assign V384318 = V853241. assign V558566 = V021379. assign V097211 = V345719 + 1. assign V839097 = V535806 - 1. assign V552549 = V345719 - 1. assign V535806 = V660354 + 1. assign V949664 = V958167 + 1. assign V958167 = V162742. assign V485977 = V960170. assign V960170 = V162742 - 1. assign V321745 = V470674. assign V427763 = V220466 - 1. assign V083841 = 3. assign V944267 = V094248 - 1. assign V313332 = V094248 + 1. assign V961316 = V660354 - 1. assign V117372 = V960170. assign V502029 = V549163. assign V192638 = V549163 - 1. assign V631734 = V838715 - 1. assign V803741 = V016655. assign V112055 = V220466 + 1. assign V447959 = V362117 + 1. assign V898477 = V162742 + 1. assign V220466 = V853241 + 1. assign V090931 = V549163 - 1. assign V496087 = V803741. assign V657468 = V098092. assign V801781 = V016655.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V869458 = V162742 + 1. assign V503626 = V898477 - 1. assign V308210 = V834514 - 1. assign V664345 = V485977. assign V063880 = V103145 - 1. assign V783988 = V759801 + 1. assign V633644 = V083841 - 1. assign V251551 = V162742. assign V345719 = V090931. assign V016655 = V869458 - 1. assign V797456 = V094248 + 1. assign V622835 = V482437. assign V155083 = V192638. assign V660354 = V958167 + 1. assign V458885 = V803741 - 1. assign V216787 = V103145 + 1. assign V470674 = V549163 + 1. assign V477081 = V482437 - 1. assign V783067 = V427763 + 1. assign V386723 = V087566 - 1. assign V231938 = V631734 - 1. assign V039952 = V294022 - 1. assign V034723 = V944267 + 1. assign V899336 = V801781 + 1. assign V980350 = V345719 - 1. assign V094248 = V958167 - 1. assign V302666 = V622835. assign V087566 = V117372 - 1. assign V285401 = V549163. assign V713349 = V535806. assign V759801 = V817293 - 1. assign V853241 = V660354. assign V098092 = V162742 + 1. assign V983634 = V117372 + 1. assign V362117 = V384318 - 1. assign V928143 = V098092 + 1. assign V585375 = V797456. assign V494465 = V535806. assign V838715 = V958167. assign V026660 = V980350 + 1. assign V021379 = V094248. assign V294022 = V980350 - 1. assign V834514 = V094248 - 1. assign V595694 = V063880 - 1. assign V482437 = V285401 + 1. assign V875411 = V162742 - 1. assign V490586 = V535806. assign V817293 = V021379. assign V932016 = V875411. assign V461337 = V094248 - 1. assign V446089 = V834514 + 1. assign V341830 = V958167. assign V103145 = V897381 + 1. assign V261460 = V713349. assign V936616 = V016655 + 1. assign V549163 = V446089 - 1. assign V897381 = V549163 - 1. assign V384318 = V853241. assign V558566 = V021379. assign V097211 = V345719 + 1. assign V839097 = V535806 - 1. assign V552549 = V345719 - 1. assign V535806 = V660354 + 1. assign V949664 = V958167 + 1. assign V958167 = V162742. assign V485977 = V960170. assign V960170 = V162742 - 1. assign V321745 = V470674. assign V427763 = V220466 - 1. assign V083841 = 3. assign V944267 = V094248 - 1. assign V313332 = V094248 + 1. assign V961316 = V660354 - 1. assign V117372 = V960170. assign V502029 = V549163. assign V192638 = V549163 - 1. assign V631734 = V838715 - 1. assign V803741 = V016655. assign V112055 = V220466 + 1. assign V447959 = V362117 + 1. assign V898477 = V162742 + 1. assign V220466 = V853241 + 1. assign V090931 = V549163 - 1. assign V496087 = V803741. assign V657468 = V098092. assign V801781 = V016655.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV083841 = 3;\n\nFrom these direct assignment(s), we have: \nV633644 = V083841 - 1 = 3 - 1 =2;\nNo other variables can be derived from V633644;\nNo other variables can be derived from V083841;\n\nNow we have done all the calculations. Derived variables are:\nV083841 = 3;\nV633644 = 2;\n\nNow we have finished this problem. ANSWER:\nV633644\n", "role": "assistant" } ]

[ "V397622" ]

[ { "content": "<context>\nassign V169294 = V575457. assign V211393 = V113847. assign V722077 = 10. assign V782433 = V258500 - 1. assign V353128 = V782433 - 1. assign V040826 = V538888 - 1. assign V581018 = V782433. assign V869493 = V272292. assign V216454 = V575457 - 1. assign V427744 = V891985 + 1. assign V575457 = V366934. assign V724248 = V258500 - 1. assign V404808 = V278915 - 1. assign V828197 = V211393 + 1. assign V727477 = V211393 - 1. assign V259190 = V947554. assign V582189 = V445403 - 1. assign V484913 = V830422. assign V199068 = V455433 - 1. assign V032122 = V970011. assign V624141 = V298526. assign V676860 = V211393 + 1. assign V571489 = V027566. assign V091826 = V323280 - 1. assign V298678 = V970011 + 1. assign V800055 = V970011. assign V223721 = V211393 - 1. assign V415730 = V298526 + 1. assign V701899 = V568927. assign V955523 = V732963 + 1. assign V113847 = V830422. assign V434613 = V404808. assign V809830 = V072016 - 1. assign V298526 = V400635 + 1. assign V385847 = V782433. assign V679197 = V366934. assign V445403 = V113847 + 1. assign V732963 = V027566. assign V339085 = V746332. assign V072016 = V445403 - 1. assign V947554 = V568927 - 1. assign V300060 = V366934 - 1. assign V186828 = V738075 + 1. assign V397622 = V722077 + 1. assign V970011 = V400635 - 1. assign V538888 = V970011 + 1. assign V455433 = V080157 - 1. assign V896791 = V698975 + 1. assign V986315 = V199068 + 1. assign V234573 = V393599 - 1. assign V033300 = V727477. assign V168021 = V571489 + 1. assign V568927 = V113847 + 1. assign V323280 = V397786 - 1. assign V698975 = V883052. assign V586942 = V896791 - 1. assign V485766 = V323280 + 1. assign V478768 = V129450 - 1. assign V738075 = V484913 - 1. assign V440092 = V484913. assign V091581 = V129450. assign V258500 = V118302 - 1. assign V268929 = V300060. assign V524679 = V199068 - 1. assign V118302 = V830422 + 1. assign V891985 = V455433. assign V830422 = V080157 + 1. assign V080060 = V727477. assign V968703 = V746332 - 1. assign V883052 = V724248 + 1. assign V945658 = V883052 - 1. assign V899275 = V385847 + 1. assign V022294 = V234573 + 1. assign V393599 = V168021 - 1. assign V366934 = V118302 - 1. assign V305344 = V091946. assign V746332 = V400635. assign V400635 = V080157. assign V091946 = V427744. assign V397786 = V538888 - 1. assign V027566 = V199068. assign V278915 = V782433 + 1. assign V129450 = V698975. assign V841565 = V568927 + 1. assign V307537 = V698975 - 1. assign V272292 = V427744.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V169294 = V575457. assign V211393 = V113847. assign V722077 = 10. assign V782433 = V258500 - 1. assign V353128 = V782433 - 1. assign V040826 = V538888 - 1. assign V581018 = V782433. assign V869493 = V272292. assign V216454 = V575457 - 1. assign V427744 = V891985 + 1. assign V575457 = V366934. assign V724248 = V258500 - 1. assign V404808 = V278915 - 1. assign V828197 = V211393 + 1. assign V727477 = V211393 - 1. assign V259190 = V947554. assign V582189 = V445403 - 1. assign V484913 = V830422. assign V199068 = V455433 - 1. assign V032122 = V970011. assign V624141 = V298526. assign V676860 = V211393 + 1. assign V571489 = V027566. assign V091826 = V323280 - 1. assign V298678 = V970011 + 1. assign V800055 = V970011. assign V223721 = V211393 - 1. assign V415730 = V298526 + 1. assign V701899 = V568927. assign V955523 = V732963 + 1. assign V113847 = V830422. assign V434613 = V404808. assign V809830 = V072016 - 1. assign V298526 = V400635 + 1. assign V385847 = V782433. assign V679197 = V366934. assign V445403 = V113847 + 1. assign V732963 = V027566. assign V339085 = V746332. assign V072016 = V445403 - 1. assign V947554 = V568927 - 1. assign V300060 = V366934 - 1. assign V186828 = V738075 + 1. assign V397622 = V722077 + 1. assign V970011 = V400635 - 1. assign V538888 = V970011 + 1. assign V455433 = V080157 - 1. assign V896791 = V698975 + 1. assign V986315 = V199068 + 1. assign V234573 = V393599 - 1. assign V033300 = V727477. assign V168021 = V571489 + 1. assign V568927 = V113847 + 1. assign V323280 = V397786 - 1. assign V698975 = V883052. assign V586942 = V896791 - 1. assign V485766 = V323280 + 1. assign V478768 = V129450 - 1. assign V738075 = V484913 - 1. assign V440092 = V484913. assign V091581 = V129450. assign V258500 = V118302 - 1. assign V268929 = V300060. assign V524679 = V199068 - 1. assign V118302 = V830422 + 1. assign V891985 = V455433. assign V830422 = V080157 + 1. assign V080060 = V727477. assign V968703 = V746332 - 1. assign V883052 = V724248 + 1. assign V945658 = V883052 - 1. assign V899275 = V385847 + 1. assign V022294 = V234573 + 1. assign V393599 = V168021 - 1. assign V366934 = V118302 - 1. assign V305344 = V091946. assign V746332 = V400635. assign V400635 = V080157. assign V091946 = V427744. assign V397786 = V538888 - 1. assign V027566 = V199068. assign V278915 = V782433 + 1. assign V129450 = V698975. assign V841565 = V568927 + 1. assign V307537 = V698975 - 1. assign V272292 = V427744.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV722077 = 10;\n\nFrom these direct assignment(s), we have: \nV397622 = V722077 + 1 = 10 + 1 =11;\nNo other variables can be derived from V397622;\nNo other variables can be derived from V722077;\n\nNow we have done all the calculations. Derived variables are:\nV722077 = 10;\nV397622 = 11;\n\nNow we have finished this problem. ANSWER:\nV397622\n", "role": "assistant" } ]

[ "V848890" ]

[ { "content": "<context>\nassign V539706 = V441350 + 1. assign V552105 = V844746 + 1. assign V817188 = V307222 - 1. assign V307222 = V554529 - 1. assign V270724 = V152145 - 1. assign V724712 = V554529. assign V139433 = V895711 - 1. assign V881582 = V094253 - 1. assign V175554 = V554529. assign V539505 = V963388 - 1. assign V171887 = V175554. assign V554529 = V539706. assign V433036 = V187537 + 1. assign V844746 = V380292 + 1. assign V094253 = V441350 - 1. assign V353134 = V329516 - 1. assign V123631 = V236841 + 1. assign V767304 = V552105 - 1. assign V880773 = V019260 + 1. assign V997082 = V658535. assign V886594 = V187537. assign V776067 = V380292 + 1. assign V277037 = V539706 + 1. assign V891864 = V943697. assign V017544 = V943697. assign V221637 = V881582 + 1. assign V225572 = V552105 + 1. assign V262135 = V943697 - 1. assign V108056 = V441350 + 1. assign V516794 = V441350 - 1. assign V950657 = V767304 + 1. assign V792927 = V695533 - 1. assign V005060 = V950657 - 1. assign V667619 = V221637 - 1. assign V019260 = V129567 - 1. assign V236841 = V880773 - 1. assign V469394 = V293096 - 1. assign V187537 = V943697. assign V081945 = V187537 + 1. assign V902502 = 5. assign V580628 = V005060 + 1. assign V021404 = V554529. assign V848890 = V902502 - 1. assign V129567 = V249166 + 1. assign V333610 = V950657 - 1. assign V963388 = V695533 + 1. assign V980931 = V040329. assign V040329 = V380292. assign V658535 = V441350. assign V777076 = V277037 - 1. assign V019508 = V881582 - 1. assign V091949 = V342367 - 1. assign V066835 = V552105 - 1. assign V089937 = V376208. assign V380292 = V539706 + 1. assign V033783 = V980931 + 1. assign V895711 = V175554 + 1. assign V293096 = V225572. assign V821599 = V081945 - 1. assign V858668 = V094253. assign V105787 = V886594. assign V614978 = V081945 - 1. assign V432998 = V376208. assign V723985 = V089937 + 1. assign V943697 = V539706 + 1. assign V302542 = V089937. assign V695533 = V152145. assign V376208 = V019508. assign V137768 = V152145 - 1. assign V391720 = V089937 - 1. assign V791552 = V593758 + 1. assign V054933 = V221637 - 1. assign V200860 = V353134 - 1. assign V094814 = V593758 - 1. assign V593758 = V108056. assign V329516 = V277037. assign V249166 = V262135. assign V814336 = V880773. assign V976564 = V723985 - 1. assign V342367 = V021404 - 1. assign V021538 = V614978 + 1. assign V107393 = V329516 - 1. assign V643004 = V094253. assign V415020 = V262135. assign V153778 = V552105. assign V152145 = V019260 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V539706 = V441350 + 1. assign V552105 = V844746 + 1. assign V817188 = V307222 - 1. assign V307222 = V554529 - 1. assign V270724 = V152145 - 1. assign V724712 = V554529. assign V139433 = V895711 - 1. assign V881582 = V094253 - 1. assign V175554 = V554529. assign V539505 = V963388 - 1. assign V171887 = V175554. assign V554529 = V539706. assign V433036 = V187537 + 1. assign V844746 = V380292 + 1. assign V094253 = V441350 - 1. assign V353134 = V329516 - 1. assign V123631 = V236841 + 1. assign V767304 = V552105 - 1. assign V880773 = V019260 + 1. assign V997082 = V658535. assign V886594 = V187537. assign V776067 = V380292 + 1. assign V277037 = V539706 + 1. assign V891864 = V943697. assign V017544 = V943697. assign V221637 = V881582 + 1. assign V225572 = V552105 + 1. assign V262135 = V943697 - 1. assign V108056 = V441350 + 1. assign V516794 = V441350 - 1. assign V950657 = V767304 + 1. assign V792927 = V695533 - 1. assign V005060 = V950657 - 1. assign V667619 = V221637 - 1. assign V019260 = V129567 - 1. assign V236841 = V880773 - 1. assign V469394 = V293096 - 1. assign V187537 = V943697. assign V081945 = V187537 + 1. assign V902502 = 5. assign V580628 = V005060 + 1. assign V021404 = V554529. assign V848890 = V902502 - 1. assign V129567 = V249166 + 1. assign V333610 = V950657 - 1. assign V963388 = V695533 + 1. assign V980931 = V040329. assign V040329 = V380292. assign V658535 = V441350. assign V777076 = V277037 - 1. assign V019508 = V881582 - 1. assign V091949 = V342367 - 1. assign V066835 = V552105 - 1. assign V089937 = V376208. assign V380292 = V539706 + 1. assign V033783 = V980931 + 1. assign V895711 = V175554 + 1. assign V293096 = V225572. assign V821599 = V081945 - 1. assign V858668 = V094253. assign V105787 = V886594. assign V614978 = V081945 - 1. assign V432998 = V376208. assign V723985 = V089937 + 1. assign V943697 = V539706 + 1. assign V302542 = V089937. assign V695533 = V152145. assign V376208 = V019508. assign V137768 = V152145 - 1. assign V391720 = V089937 - 1. assign V791552 = V593758 + 1. assign V054933 = V221637 - 1. assign V200860 = V353134 - 1. assign V094814 = V593758 - 1. assign V593758 = V108056. assign V329516 = V277037. assign V249166 = V262135. assign V814336 = V880773. assign V976564 = V723985 - 1. assign V342367 = V021404 - 1. assign V021538 = V614978 + 1. assign V107393 = V329516 - 1. assign V643004 = V094253. assign V415020 = V262135. assign V153778 = V552105. assign V152145 = V019260 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV902502 = 5;\n\nFrom these direct assignment(s), we have: \nV848890 = V902502 - 1 = 5 - 1 =4;\nNo other variables can be derived from V848890;\nNo other variables can be derived from V902502;\n\nNow we have done all the calculations. Derived variables are:\nV902502 = 5;\nV848890 = 4;\n\nNow we have finished this problem. ANSWER:\nV848890\n", "role": "assistant" } ]

[ "V427138" ]

[ { "content": "<context>\nassign V156003 = V229613 + 1. assign V563347 = V198563 - 1. assign V720293 = V102761. assign V478974 = V738587 + 1. assign V866491 = V890542 + 1. assign V756858 = V256144. assign V924516 = V102761 + 1. assign V678744 = V262558. assign V943260 = V102761. assign V934439 = V661237 - 1. assign V440939 = V480428 + 1. assign V323403 = V360885 + 1. assign V262558 = V848451 + 1. assign V427138 = V860173 - 1. assign V429548 = V164259. assign V873272 = V990856 + 1. assign V497961 = V924516. assign V015081 = V102761 - 1. assign V148555 = V102761. assign V661237 = V031003 - 1. assign V148262 = V662963. assign V990856 = V280501. assign V414127 = V262558 - 1. assign V358078 = V720293. assign V169645 = V383026 - 1. assign V012172 = V429548. assign V229613 = V873272. assign V052987 = V678744 - 1. assign V360885 = V031003 - 1. assign V897635 = V574437 - 1. assign V480428 = V273716. assign V898940 = V078075. assign V738587 = V473900 + 1. assign V915826 = V186114. assign V931714 = V574437 + 1. assign V645925 = V848451 + 1. assign V511711 = V720293. assign V405810 = V015081 - 1. assign V729992 = V367264 - 1. assign V186114 = V391694 + 1. assign V731265 = V947089. assign V488924 = V078075. assign V607204 = V720293. assign V844074 = V011768. assign V199996 = V498147 - 1. assign V205166 = V367264 + 1. assign V564822 = V970216 - 1. assign V450717 = V480428 + 1. assign V526597 = V011768 - 1. assign V060908 = V102761. assign V948532 = V947089. assign V411235 = V115993. assign V250418 = V990856. assign V848451 = V115993. assign V498147 = V262558 - 1. assign V645603 = V156003 - 1. assign V280501 = V511711 - 1. assign V441741 = V262558 + 1. assign V367264 = V473900 - 1. assign V391694 = V645925 + 1. assign V164259 = V848451 + 1. assign V644418 = V645925 - 1. assign V890542 = V367264 + 1. assign V699968 = V738587 - 1. assign V059872 = V915826. assign V970216 = V405810 - 1. assign V011768 = V031003 - 1. assign V860173 = 2. assign V055412 = V052987. assign V273716 = V511711. assign V198563 = V678744 + 1. assign V563616 = V678744 + 1. assign V102761 = V115993. assign V662963 = V848451 + 1. assign V001454 = V848451 - 1. assign V759745 = V463055 - 1. assign V031003 = V924516. assign V947089 = V473900 + 1. assign V463055 = V391694. assign V473900 = V164259. assign V256144 = V678744 - 1. assign V955748 = V607204 + 1. assign V078075 = V441741 - 1. assign V383026 = V924516 + 1. assign V934219 = V391694. assign V574437 = V367264 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V156003 = V229613 + 1. assign V563347 = V198563 - 1. assign V720293 = V102761. assign V478974 = V738587 + 1. assign V866491 = V890542 + 1. assign V756858 = V256144. assign V924516 = V102761 + 1. assign V678744 = V262558. assign V943260 = V102761. assign V934439 = V661237 - 1. assign V440939 = V480428 + 1. assign V323403 = V360885 + 1. assign V262558 = V848451 + 1. assign V427138 = V860173 - 1. assign V429548 = V164259. assign V873272 = V990856 + 1. assign V497961 = V924516. assign V015081 = V102761 - 1. assign V148555 = V102761. assign V661237 = V031003 - 1. assign V148262 = V662963. assign V990856 = V280501. assign V414127 = V262558 - 1. assign V358078 = V720293. assign V169645 = V383026 - 1. assign V012172 = V429548. assign V229613 = V873272. assign V052987 = V678744 - 1. assign V360885 = V031003 - 1. assign V897635 = V574437 - 1. assign V480428 = V273716. assign V898940 = V078075. assign V738587 = V473900 + 1. assign V915826 = V186114. assign V931714 = V574437 + 1. assign V645925 = V848451 + 1. assign V511711 = V720293. assign V405810 = V015081 - 1. assign V729992 = V367264 - 1. assign V186114 = V391694 + 1. assign V731265 = V947089. assign V488924 = V078075. assign V607204 = V720293. assign V844074 = V011768. assign V199996 = V498147 - 1. assign V205166 = V367264 + 1. assign V564822 = V970216 - 1. assign V450717 = V480428 + 1. assign V526597 = V011768 - 1. assign V060908 = V102761. assign V948532 = V947089. assign V411235 = V115993. assign V250418 = V990856. assign V848451 = V115993. assign V498147 = V262558 - 1. assign V645603 = V156003 - 1. assign V280501 = V511711 - 1. assign V441741 = V262558 + 1. assign V367264 = V473900 - 1. assign V391694 = V645925 + 1. assign V164259 = V848451 + 1. assign V644418 = V645925 - 1. assign V890542 = V367264 + 1. assign V699968 = V738587 - 1. assign V059872 = V915826. assign V970216 = V405810 - 1. assign V011768 = V031003 - 1. assign V860173 = 2. assign V055412 = V052987. assign V273716 = V511711. assign V198563 = V678744 + 1. assign V563616 = V678744 + 1. assign V102761 = V115993. assign V662963 = V848451 + 1. assign V001454 = V848451 - 1. assign V759745 = V463055 - 1. assign V031003 = V924516. assign V947089 = V473900 + 1. assign V463055 = V391694. assign V473900 = V164259. assign V256144 = V678744 - 1. assign V955748 = V607204 + 1. assign V078075 = V441741 - 1. assign V383026 = V924516 + 1. assign V934219 = V391694. assign V574437 = V367264 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV860173 = 2;\n\nFrom these direct assignment(s), we have: \nV427138 = V860173 - 1 = 2 - 1 =1;\nNo other variables can be derived from V427138;\nNo other variables can be derived from V860173;\n\nNow we have done all the calculations. Derived variables are:\nV860173 = 2;\nV427138 = 1;\n\nNow we have finished this problem. ANSWER:\nV427138\n", "role": "assistant" } ]

[ "V592298", "V008982" ]

[ { "content": "<context>\nassign V286761 = V850674 - 1. assign V475581 = V294087. assign V061686 = V728816 + 1. assign V240515 = V378386 - 1. assign V717450 = V488317. assign V294087 = V180500. assign V892903 = V812198. assign V562035 = V184817 + 1. assign V250884 = V941589 - 1. assign V800304 = V759427. assign V170976 = V364320 - 1. assign V611281 = V850674 + 1. assign V252872 = V183300 - 1. assign V632902 = V812198 - 1. assign V941589 = V015274. assign V114582 = V378386 - 1. assign V552638 = V184817 - 1. assign V634653 = V562035. assign V254312 = V634653 - 1. assign V592298 = 6. assign V498435 = V814937 - 1. assign V442171 = V408216 - 1. assign V807202 = V364320 + 1. assign V759427 = V634653 - 1. assign V026310 = V252872 + 1. assign V439135 = V634653 - 1. assign V542785 = V063018 + 1. assign V583146 = V015274 + 1. assign V944142 = V517185 - 1. assign V418879 = V914815 + 1. assign V408216 = V891155 + 1. assign V692589 = V807202 - 1. assign V850674 = V015274 - 1. assign V517185 = V286761. assign V841810 = V488317 - 1. assign V147049 = V562035 + 1. assign V438045 = V653015 - 1. assign V487704 = V914815 - 1. assign V370028 = V114582 + 1. assign V247005 = V015274 + 1. assign V577939 = V241822. assign V063018 = V334682 - 1. assign V427633 = V247005. assign V728816 = V170976 - 1. assign V202775 = V294087 + 1. assign V463387 = V418879 - 1. assign V580988 = V364320. assign V180500 = V364320 - 1. assign V020468 = V747255 + 1. assign V653015 = V812198. assign V015274 = V891155. assign V445998 = V170976 - 1. assign V570855 = V728816. assign V184817 = V914815. assign V805648 = V114582. assign V814937 = V765970. assign V662790 = V334682 - 1. assign V107267 = V015274. assign V334682 = V583146. assign V914815 = V015274. assign V262197 = V147049. assign V319494 = V250884. assign V830885 = V378386 + 1. assign V790080 = V090597 + 1. assign V747255 = V114582 + 1. assign V013222 = V408216 + 1. assign V008982 = V592298. assign V330072 = V632902 - 1. assign V845930 = V941589 - 1. assign V378386 = V891155. assign V891469 = V183300 + 1. assign V330224 = V891155. assign V865732 = V562035 + 1. assign V540202 = V580988 - 1. assign V735441 = V370028 + 1. assign V812198 = V747255 - 1. assign V524326 = V364320 + 1. assign V765970 = V747255. assign V090597 = V015274. assign V364320 = V891155 + 1. assign V585810 = V800304 - 1. assign V270775 = V941589 - 1. assign V241822 = V634653. assign V183300 = V015274 + 1. assign V771077 = V850674. assign V488317 = V941589 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V286761 = V850674 - 1. assign V475581 = V294087. assign V061686 = V728816 + 1. assign V240515 = V378386 - 1. assign V717450 = V488317. assign V294087 = V180500. assign V892903 = V812198. assign V562035 = V184817 + 1. assign V250884 = V941589 - 1. assign V800304 = V759427. assign V170976 = V364320 - 1. assign V611281 = V850674 + 1. assign V252872 = V183300 - 1. assign V632902 = V812198 - 1. assign V941589 = V015274. assign V114582 = V378386 - 1. assign V552638 = V184817 - 1. assign V634653 = V562035. assign V254312 = V634653 - 1. assign V592298 = 6. assign V498435 = V814937 - 1. assign V442171 = V408216 - 1. assign V807202 = V364320 + 1. assign V759427 = V634653 - 1. assign V026310 = V252872 + 1. assign V439135 = V634653 - 1. assign V542785 = V063018 + 1. assign V583146 = V015274 + 1. assign V944142 = V517185 - 1. assign V418879 = V914815 + 1. assign V408216 = V891155 + 1. assign V692589 = V807202 - 1. assign V850674 = V015274 - 1. assign V517185 = V286761. assign V841810 = V488317 - 1. assign V147049 = V562035 + 1. assign V438045 = V653015 - 1. assign V487704 = V914815 - 1. assign V370028 = V114582 + 1. assign V247005 = V015274 + 1. assign V577939 = V241822. assign V063018 = V334682 - 1. assign V427633 = V247005. assign V728816 = V170976 - 1. assign V202775 = V294087 + 1. assign V463387 = V418879 - 1. assign V580988 = V364320. assign V180500 = V364320 - 1. assign V020468 = V747255 + 1. assign V653015 = V812198. assign V015274 = V891155. assign V445998 = V170976 - 1. assign V570855 = V728816. assign V184817 = V914815. assign V805648 = V114582. assign V814937 = V765970. assign V662790 = V334682 - 1. assign V107267 = V015274. assign V334682 = V583146. assign V914815 = V015274. assign V262197 = V147049. assign V319494 = V250884. assign V830885 = V378386 + 1. assign V790080 = V090597 + 1. assign V747255 = V114582 + 1. assign V013222 = V408216 + 1. assign V008982 = V592298. assign V330072 = V632902 - 1. assign V845930 = V941589 - 1. assign V378386 = V891155. assign V891469 = V183300 + 1. assign V330224 = V891155. assign V865732 = V562035 + 1. assign V540202 = V580988 - 1. assign V735441 = V370028 + 1. assign V812198 = V747255 - 1. assign V524326 = V364320 + 1. assign V765970 = V747255. assign V090597 = V015274. assign V364320 = V891155 + 1. assign V585810 = V800304 - 1. assign V270775 = V941589 - 1. assign V241822 = V634653. assign V183300 = V015274 + 1. assign V771077 = V850674. assign V488317 = V941589 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV592298 = 6;\n\nFrom these direct assignment(s), we have: \nV008982 = V592298 = 6;\nNo other variables can be derived from V008982;\nNo other variables can be derived from V592298;\n\nNow we have done all the calculations. Derived variables are:\nV592298 = 6;\nV008982 = 6;\n\nNow we have finished this problem. ANSWER:\nV592298, V008982\n", "role": "assistant" } ]

[ "V337905" ]

[ { "content": "<context>\nassign V708770 = V365730. assign V228001 = V795294 - 1. assign V511498 = V703008 + 1. assign V703008 = V196344. assign V929382 = V337905 - 1. assign V103906 = V492126 + 1. assign V139685 = V733667 - 1. assign V736845 = V228001 - 1. assign V614854 = V818876 + 1. assign V192921 = V656259 - 1. assign V193203 = V863145 - 1. assign V365730 = V267424. assign V409642 = V244604 - 1. assign V806429 = V776919 - 1. assign V385298 = V818876 + 1. assign V818876 = V977831 + 1. assign V177713 = V235262. assign V021772 = V267424 + 1. assign V677854 = V230739 - 1. assign V937649 = V416705 + 1. assign V723236 = V766746 - 1. assign V492126 = V108792 + 1. assign V138456 = V662652. assign V196344 = V677854 - 1. assign V314776 = V416705. assign V705818 = V103906 + 1. assign V656259 = V108792 + 1. assign V869113 = V642376. assign V176580 = V592728 + 1. assign V468884 = V385298. assign V944428 = V656259 - 1. assign V649159 = V196344. assign V008279 = V677854 + 1. assign V022134 = V592728 - 1. assign V434775 = V545277 + 1. assign V051827 = V072278 - 1. assign V431518 = V806429 - 1. assign V776919 = V409642 - 1. assign V337905 = 5. assign V319570 = V869113. assign V416705 = V723236 + 1. assign V592728 = V061061. assign V524674 = V818876 + 1. assign V526141 = V108792. assign V478676 = V977831 + 1. assign V838368 = V541842 + 1. assign V830633 = V230739. assign V934053 = V511498. assign V504608 = V937649 - 1. assign V708051 = V314776. assign V795294 = V017185 + 1. assign V642376 = V753998 + 1. assign V869524 = V468884 + 1. assign V638407 = V614854 - 1. assign V899820 = V937649 + 1. assign V244604 = V108792 - 1. assign V061061 = V662652 + 1. assign V072278 = V733667 + 1. assign V863145 = V751114 + 1. assign V087592 = V358529. assign V017185 = V753998. assign V733667 = V463924 + 1. assign V463924 = V662652. assign V656977 = V021772. assign V024294 = V228001 - 1. assign V777518 = V656977 - 1. assign V545277 = V017185 + 1. assign V977831 = V677854 + 1. assign V416035 = V314776 + 1. assign V267424 = V177713. assign V235262 = V766746 + 1. assign V873878 = V177713. assign V368913 = V235262 + 1. assign V738714 = V314776. assign V625056 = V492126 + 1. assign V087786 = V944428. assign V564440 = V246366 + 1. assign V541842 = V230739 + 1. assign V766746 = V108792 + 1. assign V753998 = V244604 - 1. assign V358529 = V138456 - 1. assign V751114 = V228001. assign V662652 = V108792 + 1. assign V246366 = V511498. assign V230739 = V753998 + 1. assign V038182 = V937649 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V708770 = V365730. assign V228001 = V795294 - 1. assign V511498 = V703008 + 1. assign V703008 = V196344. assign V929382 = V337905 - 1. assign V103906 = V492126 + 1. assign V139685 = V733667 - 1. assign V736845 = V228001 - 1. assign V614854 = V818876 + 1. assign V192921 = V656259 - 1. assign V193203 = V863145 - 1. assign V365730 = V267424. assign V409642 = V244604 - 1. assign V806429 = V776919 - 1. assign V385298 = V818876 + 1. assign V818876 = V977831 + 1. assign V177713 = V235262. assign V021772 = V267424 + 1. assign V677854 = V230739 - 1. assign V937649 = V416705 + 1. assign V723236 = V766746 - 1. assign V492126 = V108792 + 1. assign V138456 = V662652. assign V196344 = V677854 - 1. assign V314776 = V416705. assign V705818 = V103906 + 1. assign V656259 = V108792 + 1. assign V869113 = V642376. assign V176580 = V592728 + 1. assign V468884 = V385298. assign V944428 = V656259 - 1. assign V649159 = V196344. assign V008279 = V677854 + 1. assign V022134 = V592728 - 1. assign V434775 = V545277 + 1. assign V051827 = V072278 - 1. assign V431518 = V806429 - 1. assign V776919 = V409642 - 1. assign V337905 = 5. assign V319570 = V869113. assign V416705 = V723236 + 1. assign V592728 = V061061. assign V524674 = V818876 + 1. assign V526141 = V108792. assign V478676 = V977831 + 1. assign V838368 = V541842 + 1. assign V830633 = V230739. assign V934053 = V511498. assign V504608 = V937649 - 1. assign V708051 = V314776. assign V795294 = V017185 + 1. assign V642376 = V753998 + 1. assign V869524 = V468884 + 1. assign V638407 = V614854 - 1. assign V899820 = V937649 + 1. assign V244604 = V108792 - 1. assign V061061 = V662652 + 1. assign V072278 = V733667 + 1. assign V863145 = V751114 + 1. assign V087592 = V358529. assign V017185 = V753998. assign V733667 = V463924 + 1. assign V463924 = V662652. assign V656977 = V021772. assign V024294 = V228001 - 1. assign V777518 = V656977 - 1. assign V545277 = V017185 + 1. assign V977831 = V677854 + 1. assign V416035 = V314776 + 1. assign V267424 = V177713. assign V235262 = V766746 + 1. assign V873878 = V177713. assign V368913 = V235262 + 1. assign V738714 = V314776. assign V625056 = V492126 + 1. assign V087786 = V944428. assign V564440 = V246366 + 1. assign V541842 = V230739 + 1. assign V766746 = V108792 + 1. assign V753998 = V244604 - 1. assign V358529 = V138456 - 1. assign V751114 = V228001. assign V662652 = V108792 + 1. assign V246366 = V511498. assign V230739 = V753998 + 1. assign V038182 = V937649 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV337905 = 5;\n\nFrom these direct assignment(s), we have: \nV929382 = V337905 - 1 = 5 - 1 =4;\nNo other variables can be derived from V929382;\nNo other variables can be derived from V337905;\n\nNow we have done all the calculations. Derived variables are:\nV337905 = 5;\nV929382 = 4;\n\nNow we have finished this problem. ANSWER:\nV337905\n", "role": "assistant" } ]

[ "V585303", "V860568" ]

[ { "content": "<context>\nassign V685149 = V313351 - 1. assign V366369 = V483054. assign V661990 = V753010. assign V638778 = V439351. assign V483054 = V634653 + 1. assign V877837 = V610928 + 1. assign V393465 = V458905. assign V252458 = V808954. assign V820434 = V438381 - 1. assign V012782 = V634653. assign V483811 = V438381 - 1. assign V313351 = V819925. assign V527109 = V927106 + 1. assign V392888 = V753010. assign V943787 = V008370 - 1. assign V960117 = V638778. assign V111578 = V489932. assign V251173 = V685149. assign V634653 = V151249 - 1. assign V441497 = V947644 + 1. assign V927106 = V983351. assign V412927 = V947644 - 1. assign V439351 = V628095 + 1. assign V098956 = V439351. assign V149617 = V044465 + 1. assign V585303 = 6. assign V826353 = V927106. assign V808982 = V901153 - 1. assign V151249 = V718586 + 1. assign V930430 = V543882. assign V883332 = V489932. assign V996855 = V543882. assign V458905 = V947644 - 1. assign V564562 = V819925 - 1. assign V834642 = V543882 + 1. assign V914172 = V233715. assign V697365 = V543882 + 1. assign V901153 = V930430 + 1. assign V475984 = V543882. assign V139415 = V551424 + 1. assign V233715 = V008370. assign V551218 = V458905 - 1. assign V665598 = V996393 - 1. assign V207639 = V890283. assign V931957 = V543882. assign V959158 = V543882. assign V044465 = V983351 + 1. assign V865206 = V412927 + 1. assign V008370 = V718586 - 1. assign V718586 = V927106. assign V438381 = V251173 + 1. assign V830934 = V543882 - 1. assign V551424 = V040589. assign V230409 = V439351. assign V060657 = V883332 - 1. assign V371409 = V634653 - 1. assign V941784 = V483054. assign V971103 = V852068. assign V606574 = V834642. assign V819925 = V718586 + 1. assign V552801 = V971103. assign V029209 = V808982 - 1. assign V623537 = V233715 + 1. assign V753010 = V685149 - 1. assign V366880 = V959158 - 1. assign V791907 = V252458 + 1. assign V628095 = V610928 - 1. assign V459869 = V634653. assign V241771 = V040589. assign V808954 = V151249 - 1. assign V085920 = V865206. assign V996393 = V251173 + 1. assign V543882 = V983351. assign V860568 = V585303. assign V489932 = V996855 + 1. assign V690636 = V391317. assign V852068 = V983351 - 1. assign V610928 = V852068 + 1. assign V171531 = V610928 + 1. assign V947644 = V753010. assign V685838 = V543882. assign V563838 = V151249 - 1. assign V040589 = V996855 + 1. assign V391317 = V459869. assign V890283 = V983351 + 1. assign V122054 = V623537 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V685149 = V313351 - 1. assign V366369 = V483054. assign V661990 = V753010. assign V638778 = V439351. assign V483054 = V634653 + 1. assign V877837 = V610928 + 1. assign V393465 = V458905. assign V252458 = V808954. assign V820434 = V438381 - 1. assign V012782 = V634653. assign V483811 = V438381 - 1. assign V313351 = V819925. assign V527109 = V927106 + 1. assign V392888 = V753010. assign V943787 = V008370 - 1. assign V960117 = V638778. assign V111578 = V489932. assign V251173 = V685149. assign V634653 = V151249 - 1. assign V441497 = V947644 + 1. assign V927106 = V983351. assign V412927 = V947644 - 1. assign V439351 = V628095 + 1. assign V098956 = V439351. assign V149617 = V044465 + 1. assign V585303 = 6. assign V826353 = V927106. assign V808982 = V901153 - 1. assign V151249 = V718586 + 1. assign V930430 = V543882. assign V883332 = V489932. assign V996855 = V543882. assign V458905 = V947644 - 1. assign V564562 = V819925 - 1. assign V834642 = V543882 + 1. assign V914172 = V233715. assign V697365 = V543882 + 1. assign V901153 = V930430 + 1. assign V475984 = V543882. assign V139415 = V551424 + 1. assign V233715 = V008370. assign V551218 = V458905 - 1. assign V665598 = V996393 - 1. assign V207639 = V890283. assign V931957 = V543882. assign V959158 = V543882. assign V044465 = V983351 + 1. assign V865206 = V412927 + 1. assign V008370 = V718586 - 1. assign V718586 = V927106. assign V438381 = V251173 + 1. assign V830934 = V543882 - 1. assign V551424 = V040589. assign V230409 = V439351. assign V060657 = V883332 - 1. assign V371409 = V634653 - 1. assign V941784 = V483054. assign V971103 = V852068. assign V606574 = V834642. assign V819925 = V718586 + 1. assign V552801 = V971103. assign V029209 = V808982 - 1. assign V623537 = V233715 + 1. assign V753010 = V685149 - 1. assign V366880 = V959158 - 1. assign V791907 = V252458 + 1. assign V628095 = V610928 - 1. assign V459869 = V634653. assign V241771 = V040589. assign V808954 = V151249 - 1. assign V085920 = V865206. assign V996393 = V251173 + 1. assign V543882 = V983351. assign V860568 = V585303. assign V489932 = V996855 + 1. assign V690636 = V391317. assign V852068 = V983351 - 1. assign V610928 = V852068 + 1. assign V171531 = V610928 + 1. assign V947644 = V753010. assign V685838 = V543882. assign V563838 = V151249 - 1. assign V040589 = V996855 + 1. assign V391317 = V459869. assign V890283 = V983351 + 1. assign V122054 = V623537 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV585303 = 6;\n\nFrom these direct assignment(s), we have: \nV860568 = V585303 = 6;\nNo other variables can be derived from V860568;\nNo other variables can be derived from V585303;\n\nNow we have done all the calculations. Derived variables are:\nV585303 = 6;\nV860568 = 6;\n\nNow we have finished this problem. ANSWER:\nV585303, V860568\n", "role": "assistant" } ]

[ "V757981" ]

[ { "content": "<context>\nassign V666218 = V668641. assign V331466 = V703140. assign V917770 = V784052. assign V001616 = V812172. assign V963594 = V007408 - 1. assign V589647 = V812172 - 1. assign V461430 = V039737 - 1. assign V246440 = V539330 + 1. assign V860110 = V682453. assign V812172 = V502265 + 1. assign V453604 = V589647. assign V497414 = V119512 + 1. assign V139353 = V215980 + 1. assign V007408 = V020367. assign V545550 = V703140. assign V087293 = V001616. assign V502265 = V007408 - 1. assign V736358 = V215980 + 1. assign V109897 = V502265. assign V020367 = V119512 - 1. assign V416650 = V963594 + 1. assign V480987 = V833451 - 1. assign V319359 = V840054 + 1. assign V833451 = V319359 - 1. assign V762234 = V039737 - 1. assign V784052 = V840054 + 1. assign V046082 = V666218 - 1. assign V453357 = V703140 - 1. assign V359251 = V039737. assign V253584 = V641625 - 1. assign V027258 = V436377. assign V291656 = V359251 - 1. assign V163914 = V282424. assign V651154 = V969281. assign V674008 = V474610. assign V757981 = V359943 - 1. assign V349304 = V967407. assign V992315 = V491772 - 1. assign V633764 = V039737 - 1. assign V044492 = V282424. assign V482069 = V332460 + 1. assign V904915 = V840054 + 1. assign V905031 = V301616 - 1. assign V840054 = V020367 + 1. assign V282424 = V502265 - 1. assign V969281 = V027258 + 1. assign V890788 = V436377 - 1. assign V619941 = V502265 - 1. assign V967407 = V539330 - 1. assign V703140 = V539330. assign V332460 = V225085. assign V645254 = V963594 + 1. assign V771751 = V215980 + 1. assign V668641 = V539330. assign V908178 = V137982 + 1. assign V525949 = V682453 - 1. assign V092102 = V301616 - 1. assign V215980 = V840054 - 1. assign V144648 = V633764 - 1. assign V551764 = V044492. assign V910485 = V619941. assign V536726 = V480987 + 1. assign V039737 = V253584 + 1. assign V119512 = V641625. assign V436377 = V020367. assign V474610 = V039737 - 1. assign V232209 = V480987 - 1. assign V357260 = V666218 + 1. assign V137982 = V474610. assign V577713 = V474610 + 1. assign V582036 = V668641 + 1. assign V491772 = V963594 + 1. assign V801354 = V020367 + 1. assign V820379 = V539330 - 1. assign V539330 = V502265 - 1. assign V225085 = V039737 + 1. assign V301616 = V046082 - 1. assign V682453 = V436377 + 1. assign V665893 = V436377. assign V359943 = 4. assign V286906 = V577713 + 1. assign V951193 = V436377 + 1. assign V731258 = V967407 + 1. assign V550363 = V820379 - 1. assign V804342 = V860110 - 1. assign V742764 = V020367 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V666218 = V668641. assign V331466 = V703140. assign V917770 = V784052. assign V001616 = V812172. assign V963594 = V007408 - 1. assign V589647 = V812172 - 1. assign V461430 = V039737 - 1. assign V246440 = V539330 + 1. assign V860110 = V682453. assign V812172 = V502265 + 1. assign V453604 = V589647. assign V497414 = V119512 + 1. assign V139353 = V215980 + 1. assign V007408 = V020367. assign V545550 = V703140. assign V087293 = V001616. assign V502265 = V007408 - 1. assign V736358 = V215980 + 1. assign V109897 = V502265. assign V020367 = V119512 - 1. assign V416650 = V963594 + 1. assign V480987 = V833451 - 1. assign V319359 = V840054 + 1. assign V833451 = V319359 - 1. assign V762234 = V039737 - 1. assign V784052 = V840054 + 1. assign V046082 = V666218 - 1. assign V453357 = V703140 - 1. assign V359251 = V039737. assign V253584 = V641625 - 1. assign V027258 = V436377. assign V291656 = V359251 - 1. assign V163914 = V282424. assign V651154 = V969281. assign V674008 = V474610. assign V757981 = V359943 - 1. assign V349304 = V967407. assign V992315 = V491772 - 1. assign V633764 = V039737 - 1. assign V044492 = V282424. assign V482069 = V332460 + 1. assign V904915 = V840054 + 1. assign V905031 = V301616 - 1. assign V840054 = V020367 + 1. assign V282424 = V502265 - 1. assign V969281 = V027258 + 1. assign V890788 = V436377 - 1. assign V619941 = V502265 - 1. assign V967407 = V539330 - 1. assign V703140 = V539330. assign V332460 = V225085. assign V645254 = V963594 + 1. assign V771751 = V215980 + 1. assign V668641 = V539330. assign V908178 = V137982 + 1. assign V525949 = V682453 - 1. assign V092102 = V301616 - 1. assign V215980 = V840054 - 1. assign V144648 = V633764 - 1. assign V551764 = V044492. assign V910485 = V619941. assign V536726 = V480987 + 1. assign V039737 = V253584 + 1. assign V119512 = V641625. assign V436377 = V020367. assign V474610 = V039737 - 1. assign V232209 = V480987 - 1. assign V357260 = V666218 + 1. assign V137982 = V474610. assign V577713 = V474610 + 1. assign V582036 = V668641 + 1. assign V491772 = V963594 + 1. assign V801354 = V020367 + 1. assign V820379 = V539330 - 1. assign V539330 = V502265 - 1. assign V225085 = V039737 + 1. assign V301616 = V046082 - 1. assign V682453 = V436377 + 1. assign V665893 = V436377. assign V359943 = 4. assign V286906 = V577713 + 1. assign V951193 = V436377 + 1. assign V731258 = V967407 + 1. assign V550363 = V820379 - 1. assign V804342 = V860110 - 1. assign V742764 = V020367 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV359943 = 4;\n\nFrom these direct assignment(s), we have: \nV757981 = V359943 - 1 = 4 - 1 =3;\nNo other variables can be derived from V757981;\nNo other variables can be derived from V359943;\n\nNow we have done all the calculations. Derived variables are:\nV359943 = 4;\nV757981 = 3;\n\nNow we have finished this problem. ANSWER:\nV757981\n", "role": "assistant" } ]

[ "V497765" ]

[ { "content": "<context>\nassign V455340 = V380999. assign V483478 = V615796 + 1. assign V497765 = V911929 + 1. assign V862903 = V859350 - 1. assign V326035 = V345575 + 1. assign V635632 = V452444 - 1. assign V323892 = V752684. assign V345575 = V635632. assign V550074 = V904692 - 1. assign V953759 = V615796 - 1. assign V648555 = V841787 + 1. assign V413923 = V859350 + 1. assign V898433 = V524455. assign V911929 = 7. assign V307379 = V707034. assign V899543 = V402130. assign V574470 = V413923. assign V725590 = V582102. assign V529924 = V904692 + 1. assign V913786 = V582102. assign V499703 = V452444 + 1. assign V499686 = V155270. assign V686822 = V830242. assign V319595 = V913786. assign V346887 = V323892 + 1. assign V727896 = V648555 - 1. assign V308898 = V725590. assign V362113 = V830242 + 1. assign V367775 = V708958 - 1. assign V524455 = V635632 + 1. assign V930510 = V413923 - 1. assign V607359 = V029257 - 1. assign V452444 = V582102 - 1. assign V188769 = V452444. assign V590131 = V635632. assign V706397 = V188769 + 1. assign V909971 = V953759 - 1. assign V989692 = V410148 - 1. assign V455727 = V593686 + 1. assign V587955 = V219035 - 1. assign V638773 = V807508. assign V155270 = V507377 - 1. assign V081178 = V219035. assign V926864 = V524455 - 1. assign V297855 = V707034 + 1. assign V971230 = V646091 + 1. assign V841787 = V452444 - 1. assign V286676 = V081178. assign V869031 = V219035. assign V803939 = V453735 - 1. assign V615796 = V913786 - 1. assign V410148 = V706397 - 1. assign V117404 = V453735 - 1. assign V536579 = V819052 + 1. assign V593686 = V029257 - 1. assign V184441 = V926864 + 1. assign V029952 = V524455 - 1. assign V859350 = V155270 - 1. assign V646091 = V029257 + 1. assign V612653 = V648555 + 1. assign V582102 = V904692. assign V029257 = V219035 - 1. assign V180306 = V453735 + 1. assign V491909 = V574470 - 1. assign V219035 = V904692 - 1. assign V531710 = V029952. assign V615591 = V869031. assign V819052 = V587955. assign V858399 = V841770 + 1. assign V807508 = V615591. assign V796609 = V898433 + 1. assign V668310 = V727896 + 1. assign V752684 = V155270 - 1. assign V453735 = V219035. assign V790089 = V143732 + 1. assign V708958 = V786144 + 1. assign V402130 = V285149 + 1. assign V380999 = V668310 + 1. assign V468454 = V635632 - 1. assign V841770 = V155270. assign V285149 = V188769 - 1. assign V707034 = V081178 - 1. assign V143732 = V635632 + 1. assign V786144 = V219035 + 1. assign V507377 = V841787. assign V830242 = V913786 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V455340 = V380999. assign V483478 = V615796 + 1. assign V497765 = V911929 + 1. assign V862903 = V859350 - 1. assign V326035 = V345575 + 1. assign V635632 = V452444 - 1. assign V323892 = V752684. assign V345575 = V635632. assign V550074 = V904692 - 1. assign V953759 = V615796 - 1. assign V648555 = V841787 + 1. assign V413923 = V859350 + 1. assign V898433 = V524455. assign V911929 = 7. assign V307379 = V707034. assign V899543 = V402130. assign V574470 = V413923. assign V725590 = V582102. assign V529924 = V904692 + 1. assign V913786 = V582102. assign V499703 = V452444 + 1. assign V499686 = V155270. assign V686822 = V830242. assign V319595 = V913786. assign V346887 = V323892 + 1. assign V727896 = V648555 - 1. assign V308898 = V725590. assign V362113 = V830242 + 1. assign V367775 = V708958 - 1. assign V524455 = V635632 + 1. assign V930510 = V413923 - 1. assign V607359 = V029257 - 1. assign V452444 = V582102 - 1. assign V188769 = V452444. assign V590131 = V635632. assign V706397 = V188769 + 1. assign V909971 = V953759 - 1. assign V989692 = V410148 - 1. assign V455727 = V593686 + 1. assign V587955 = V219035 - 1. assign V638773 = V807508. assign V155270 = V507377 - 1. assign V081178 = V219035. assign V926864 = V524455 - 1. assign V297855 = V707034 + 1. assign V971230 = V646091 + 1. assign V841787 = V452444 - 1. assign V286676 = V081178. assign V869031 = V219035. assign V803939 = V453735 - 1. assign V615796 = V913786 - 1. assign V410148 = V706397 - 1. assign V117404 = V453735 - 1. assign V536579 = V819052 + 1. assign V593686 = V029257 - 1. assign V184441 = V926864 + 1. assign V029952 = V524455 - 1. assign V859350 = V155270 - 1. assign V646091 = V029257 + 1. assign V612653 = V648555 + 1. assign V582102 = V904692. assign V029257 = V219035 - 1. assign V180306 = V453735 + 1. assign V491909 = V574470 - 1. assign V219035 = V904692 - 1. assign V531710 = V029952. assign V615591 = V869031. assign V819052 = V587955. assign V858399 = V841770 + 1. assign V807508 = V615591. assign V796609 = V898433 + 1. assign V668310 = V727896 + 1. assign V752684 = V155270 - 1. assign V453735 = V219035. assign V790089 = V143732 + 1. assign V708958 = V786144 + 1. assign V402130 = V285149 + 1. assign V380999 = V668310 + 1. assign V468454 = V635632 - 1. assign V841770 = V155270. assign V285149 = V188769 - 1. assign V707034 = V081178 - 1. assign V143732 = V635632 + 1. assign V786144 = V219035 + 1. assign V507377 = V841787. assign V830242 = V913786 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV911929 = 7;\n\nFrom these direct assignment(s), we have: \nV497765 = V911929 + 1 = 7 + 1 =8;\nNo other variables can be derived from V497765;\nNo other variables can be derived from V911929;\n\nNow we have done all the calculations. Derived variables are:\nV911929 = 7;\nV497765 = 8;\n\nNow we have finished this problem. ANSWER:\nV497765\n", "role": "assistant" } ]

[ "V253699", "V214305" ]

[ { "content": "<context>\nassign V337737 = V092835 - 1. assign V271119 = V402231. assign V373330 = V504612 - 1. assign V483388 = V452923. assign V046183 = V386393 - 1. assign V797106 = V039305 + 1. assign V423972 = V206923 + 1. assign V614560 = V394440 - 1. assign V507341 = V483388. assign V944732 = V451404. assign V062714 = V060677 + 1. assign V245785 = V271119 - 1. assign V234895 = V872316 - 1. assign V263035 = V402231. assign V913051 = V194251 + 1. assign V610518 = V232118 - 1. assign V370401 = V206923 - 1. assign V511458 = V232118 - 1. assign V375168 = V329050 + 1. assign V345083 = V402231 + 1. assign V394440 = V608170 + 1. assign V566159 = V402231 - 1. assign V037568 = V657296. assign V748868 = V452923. assign V052730 = V831723 + 1. assign V225079 = V245785 - 1. assign V073950 = V504612 + 1. assign V360003 = V390897 - 1. assign V585812 = V092835 + 1. assign V435998 = V394440 + 1. assign V982378 = V139155 - 1. assign V608170 = V402231 - 1. assign V329050 = V039305. assign V988942 = V402906 + 1. assign V817073 = V504612 + 1. assign V402906 = V566159 + 1. assign V395073 = V060677 + 1. assign V832096 = V608170. assign V368731 = V329050 - 1. assign V039305 = V435998 + 1. assign V998822 = V608170. assign V451404 = V037568 - 1. assign V841351 = V368731 - 1. assign V552032 = V206923 + 1. assign V630056 = V402906 + 1. assign V048447 = V504612 + 1. assign V676398 = V402231 + 1. assign V413059 = V504612 + 1. assign V206923 = V988942 + 1. assign V587820 = V816737 + 1. assign V390897 = V271119 - 1. assign V283092 = V872316 + 1. assign V990188 = V263035 + 1. assign V585640 = V394440 - 1. assign V131171 = V452923 + 1. assign V452923 = V872316 + 1. assign V674948 = V390897. assign V214305 = V253699. assign V462882 = V452923 + 1. assign V574077 = V552032. assign V232118 = V797106 - 1. assign V139155 = V872316 - 1. assign V635270 = V402231 - 1. assign V872316 = V394440. assign V778377 = V194251 + 1. assign V213417 = V370401 - 1. assign V710135 = V587820. assign V092835 = V988942. assign V831723 = V660284. assign V301230 = V039305 + 1. assign V660284 = V390897 - 1. assign V325353 = V831723. assign V253699 = 0. assign V504612 = V271119 + 1. assign V513161 = V797106 + 1. assign V816737 = V271119 - 1. assign V114505 = V052730 - 1. assign V148901 = V452923. assign V474827 = V435998. assign V389032 = V329050. assign V194251 = V039305 - 1. assign V060677 = V452923 + 1. assign V235366 = V271119. assign V657296 = V872316. assign V386393 = V452923 + 1. assign V656627 = V283092 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V337737 = V092835 - 1. assign V271119 = V402231. assign V373330 = V504612 - 1. assign V483388 = V452923. assign V046183 = V386393 - 1. assign V797106 = V039305 + 1. assign V423972 = V206923 + 1. assign V614560 = V394440 - 1. assign V507341 = V483388. assign V944732 = V451404. assign V062714 = V060677 + 1. assign V245785 = V271119 - 1. assign V234895 = V872316 - 1. assign V263035 = V402231. assign V913051 = V194251 + 1. assign V610518 = V232118 - 1. assign V370401 = V206923 - 1. assign V511458 = V232118 - 1. assign V375168 = V329050 + 1. assign V345083 = V402231 + 1. assign V394440 = V608170 + 1. assign V566159 = V402231 - 1. assign V037568 = V657296. assign V748868 = V452923. assign V052730 = V831723 + 1. assign V225079 = V245785 - 1. assign V073950 = V504612 + 1. assign V360003 = V390897 - 1. assign V585812 = V092835 + 1. assign V435998 = V394440 + 1. assign V982378 = V139155 - 1. assign V608170 = V402231 - 1. assign V329050 = V039305. assign V988942 = V402906 + 1. assign V817073 = V504612 + 1. assign V402906 = V566159 + 1. assign V395073 = V060677 + 1. assign V832096 = V608170. assign V368731 = V329050 - 1. assign V039305 = V435998 + 1. assign V998822 = V608170. assign V451404 = V037568 - 1. assign V841351 = V368731 - 1. assign V552032 = V206923 + 1. assign V630056 = V402906 + 1. assign V048447 = V504612 + 1. assign V676398 = V402231 + 1. assign V413059 = V504612 + 1. assign V206923 = V988942 + 1. assign V587820 = V816737 + 1. assign V390897 = V271119 - 1. assign V283092 = V872316 + 1. assign V990188 = V263035 + 1. assign V585640 = V394440 - 1. assign V131171 = V452923 + 1. assign V452923 = V872316 + 1. assign V674948 = V390897. assign V214305 = V253699. assign V462882 = V452923 + 1. assign V574077 = V552032. assign V232118 = V797106 - 1. assign V139155 = V872316 - 1. assign V635270 = V402231 - 1. assign V872316 = V394440. assign V778377 = V194251 + 1. assign V213417 = V370401 - 1. assign V710135 = V587820. assign V092835 = V988942. assign V831723 = V660284. assign V301230 = V039305 + 1. assign V660284 = V390897 - 1. assign V325353 = V831723. assign V253699 = 0. assign V504612 = V271119 + 1. assign V513161 = V797106 + 1. assign V816737 = V271119 - 1. assign V114505 = V052730 - 1. assign V148901 = V452923. assign V474827 = V435998. assign V389032 = V329050. assign V194251 = V039305 - 1. assign V060677 = V452923 + 1. assign V235366 = V271119. assign V657296 = V872316. assign V386393 = V452923 + 1. assign V656627 = V283092 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV253699 = 0;\n\nFrom these direct assignment(s), we have: \nV214305 = V253699 = 0;\nNo other variables can be derived from V214305;\nNo other variables can be derived from V253699;\n\nNow we have done all the calculations. Derived variables are:\nV253699 = 0;\nV214305 = 0;\n\nNow we have finished this problem. ANSWER:\nV253699, V214305\n", "role": "assistant" } ]

[ "V334817", "V391571" ]

[ { "content": "<context>\nassign V680990 = V794461. assign V434808 = V898227 + 1. assign V460186 = V315910. assign V585699 = V097408. assign V930225 = V541695 - 1. assign V103799 = V433438 + 1. assign V257378 = V843565. assign V541695 = V042658. assign V486325 = V899503 + 1. assign V843183 = V042658. assign V315910 = V678926 + 1. assign V892471 = V898227 + 1. assign V307847 = V723918 + 1. assign V602946 = V723918 + 1. assign V721172 = V192519. assign V728761 = V637551. assign V876808 = V082697 - 1. assign V937886 = V857473 + 1. assign V917797 = V794461 - 1. assign V433438 = V793801 + 1. assign V700454 = V192519 - 1. assign V979698 = V423354 + 1. assign V584292 = V257378 - 1. assign V363106 = V385891. assign V080858 = V042658 + 1. assign V343711 = V641679 - 1. assign V266681 = V898227. assign V857473 = V876808. assign V180720 = V024898 - 1. assign V994765 = V906830 + 1. assign V186143 = V520203 + 1. assign V109901 = V898227 + 1. assign V969982 = V641679. assign V637551 = V598906 - 1. assign V898227 = V793801 - 1. assign V611026 = V533757 + 1. assign V614449 = V198922 + 1. assign V802251 = V192519 - 1. assign V415933 = V843565 - 1. assign V745843 = V315910. assign V423422 = V520203. assign V886528 = V192519 - 1. assign V520203 = V042658 - 1. assign V843565 = V533757 + 1. assign V986630 = V307847 - 1. assign V794461 = V080858. assign V145513 = V460186. assign V894239 = V080858 + 1. assign V692070 = V614449. assign V198922 = V180720 + 1. assign V598906 = V434808. assign V129123 = V103240 + 1. assign V144367 = V793801 - 1. assign V917238 = V794461. assign V723918 = V533757. assign V181961 = V598906. assign V103240 = V433438 + 1. assign V793801 = V541695. assign V097408 = V024898 - 1. assign V524174 = V503894 + 1. assign V042658 = V742783. assign V391571 = V334817. assign V010175 = V080858. assign V067000 = V930225. assign V262385 = V585699 + 1. assign V192519 = V548095 + 1. assign V166700 = V598906 - 1. assign V082697 = V415933. assign V548095 = V415933 - 1. assign V503894 = V678926 - 1. assign V742783 = V843565. assign V334817 = 5. assign V899503 = V166700 - 1. assign V641679 = V042658. assign V385891 = V080858. assign V906830 = V343711 - 1. assign V421793 = V180720. assign V886933 = V745843 - 1. assign V840597 = V794461 - 1. assign V140364 = V541695 + 1. assign V491860 = V585699 + 1. assign V011062 = V794461 - 1. assign V471688 = V042658 + 1. assign V423354 = V343711. assign V024898 = V793801 + 1. assign V678926 = V641679 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V680990 = V794461. assign V434808 = V898227 + 1. assign V460186 = V315910. assign V585699 = V097408. assign V930225 = V541695 - 1. assign V103799 = V433438 + 1. assign V257378 = V843565. assign V541695 = V042658. assign V486325 = V899503 + 1. assign V843183 = V042658. assign V315910 = V678926 + 1. assign V892471 = V898227 + 1. assign V307847 = V723918 + 1. assign V602946 = V723918 + 1. assign V721172 = V192519. assign V728761 = V637551. assign V876808 = V082697 - 1. assign V937886 = V857473 + 1. assign V917797 = V794461 - 1. assign V433438 = V793801 + 1. assign V700454 = V192519 - 1. assign V979698 = V423354 + 1. assign V584292 = V257378 - 1. assign V363106 = V385891. assign V080858 = V042658 + 1. assign V343711 = V641679 - 1. assign V266681 = V898227. assign V857473 = V876808. assign V180720 = V024898 - 1. assign V994765 = V906830 + 1. assign V186143 = V520203 + 1. assign V109901 = V898227 + 1. assign V969982 = V641679. assign V637551 = V598906 - 1. assign V898227 = V793801 - 1. assign V611026 = V533757 + 1. assign V614449 = V198922 + 1. assign V802251 = V192519 - 1. assign V415933 = V843565 - 1. assign V745843 = V315910. assign V423422 = V520203. assign V886528 = V192519 - 1. assign V520203 = V042658 - 1. assign V843565 = V533757 + 1. assign V986630 = V307847 - 1. assign V794461 = V080858. assign V145513 = V460186. assign V894239 = V080858 + 1. assign V692070 = V614449. assign V198922 = V180720 + 1. assign V598906 = V434808. assign V129123 = V103240 + 1. assign V144367 = V793801 - 1. assign V917238 = V794461. assign V723918 = V533757. assign V181961 = V598906. assign V103240 = V433438 + 1. assign V793801 = V541695. assign V097408 = V024898 - 1. assign V524174 = V503894 + 1. assign V042658 = V742783. assign V391571 = V334817. assign V010175 = V080858. assign V067000 = V930225. assign V262385 = V585699 + 1. assign V192519 = V548095 + 1. assign V166700 = V598906 - 1. assign V082697 = V415933. assign V548095 = V415933 - 1. assign V503894 = V678926 - 1. assign V742783 = V843565. assign V334817 = 5. assign V899503 = V166700 - 1. assign V641679 = V042658. assign V385891 = V080858. assign V906830 = V343711 - 1. assign V421793 = V180720. assign V886933 = V745843 - 1. assign V840597 = V794461 - 1. assign V140364 = V541695 + 1. assign V491860 = V585699 + 1. assign V011062 = V794461 - 1. assign V471688 = V042658 + 1. assign V423354 = V343711. assign V024898 = V793801 + 1. assign V678926 = V641679 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV334817 = 5;\n\nFrom these direct assignment(s), we have: \nV391571 = V334817 = 5;\nNo other variables can be derived from V391571;\nNo other variables can be derived from V334817;\n\nNow we have done all the calculations. Derived variables are:\nV334817 = 5;\nV391571 = 5;\n\nNow we have finished this problem. ANSWER:\nV334817, V391571\n", "role": "assistant" } ]

[ "V611984", "V631024" ]

[ { "content": "<context>\nassign V915701 = V982141 + 1. assign V160313 = V660941 - 1. assign V667910 = V160313 - 1. assign V709025 = V698805. assign V189709 = V367493. assign V485552 = V497231 - 1. assign V209454 = V844662 - 1. assign V497231 = V667643 - 1. assign V994817 = V429701 + 1. assign V041557 = V561188 - 1. assign V844662 = V878279 - 1. assign V967731 = V787230 + 1. assign V715905 = V634950 - 1. assign V608024 = V367493. assign V138549 = V284444. assign V878279 = V235371 + 1. assign V408971 = V540546 - 1. assign V833577 = V445046 - 1. assign V180198 = V376088. assign V585997 = V561188 + 1. assign V698805 = V634950. assign V009936 = V540546 - 1. assign V347652 = V148188 + 1. assign V472934 = V792522. assign V213205 = V138549. assign V166115 = V585997. assign V855831 = V890075 - 1. assign V751247 = V948297 + 1. assign V274398 = V726306 + 1. assign V284444 = V502381 + 1. assign V367493 = V561188 - 1. assign V823352 = V245713. assign V634950 = V667643. assign V890075 = V497231. assign V948297 = V667643 - 1. assign V611984 = 4. assign V440005 = V209454. assign V236286 = V660941 - 1. assign V347303 = V844662 + 1. assign V208290 = V715905 - 1. assign V655111 = V235371. assign V438706 = V655111 - 1. assign V956384 = V948297. assign V560201 = V429701. assign V833443 = V045066. assign V924430 = V377686 - 1. assign V327312 = V429701 + 1. assign V631024 = V611984. assign V587280 = V634950. assign V771713 = V180198 + 1. assign V377686 = V561188 - 1. assign V040484 = V924430. assign V876882 = V148188 - 1. assign V119976 = V347652 - 1. assign V429701 = V235371. assign V272454 = V560201 - 1. assign V293181 = V485552 - 1. assign V857785 = V235371 + 1. assign V551040 = V726306. assign V561188 = V235371. assign V376088 = V284444. assign V245713 = V660941 + 1. assign V841471 = V948297 + 1. assign V540546 = V903858. assign V880777 = V556201 - 1. assign V463884 = V833577 - 1. assign V445046 = V347652. assign V148188 = V634950 + 1. assign V982141 = V284444 + 1. assign V903858 = V698805. assign V142570 = V502381. assign V660941 = V948297 - 1. assign V389839 = V463884. assign V906309 = V924430 - 1. assign V502381 = V377686 - 1. assign V043589 = V497231 - 1. assign V235371 = V667643 - 1. assign V787230 = V608024. assign V990951 = V160313. assign V054279 = V463884 + 1. assign V589796 = V990951. assign V726306 = V872484 + 1. assign V556201 = V878279. assign V045066 = V726306 + 1. assign V792522 = V698805 + 1. assign V872484 = V367493 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V915701 = V982141 + 1. assign V160313 = V660941 - 1. assign V667910 = V160313 - 1. assign V709025 = V698805. assign V189709 = V367493. assign V485552 = V497231 - 1. assign V209454 = V844662 - 1. assign V497231 = V667643 - 1. assign V994817 = V429701 + 1. assign V041557 = V561188 - 1. assign V844662 = V878279 - 1. assign V967731 = V787230 + 1. assign V715905 = V634950 - 1. assign V608024 = V367493. assign V138549 = V284444. assign V878279 = V235371 + 1. assign V408971 = V540546 - 1. assign V833577 = V445046 - 1. assign V180198 = V376088. assign V585997 = V561188 + 1. assign V698805 = V634950. assign V009936 = V540546 - 1. assign V347652 = V148188 + 1. assign V472934 = V792522. assign V213205 = V138549. assign V166115 = V585997. assign V855831 = V890075 - 1. assign V751247 = V948297 + 1. assign V274398 = V726306 + 1. assign V284444 = V502381 + 1. assign V367493 = V561188 - 1. assign V823352 = V245713. assign V634950 = V667643. assign V890075 = V497231. assign V948297 = V667643 - 1. assign V611984 = 4. assign V440005 = V209454. assign V236286 = V660941 - 1. assign V347303 = V844662 + 1. assign V208290 = V715905 - 1. assign V655111 = V235371. assign V438706 = V655111 - 1. assign V956384 = V948297. assign V560201 = V429701. assign V833443 = V045066. assign V924430 = V377686 - 1. assign V327312 = V429701 + 1. assign V631024 = V611984. assign V587280 = V634950. assign V771713 = V180198 + 1. assign V377686 = V561188 - 1. assign V040484 = V924430. assign V876882 = V148188 - 1. assign V119976 = V347652 - 1. assign V429701 = V235371. assign V272454 = V560201 - 1. assign V293181 = V485552 - 1. assign V857785 = V235371 + 1. assign V551040 = V726306. assign V561188 = V235371. assign V376088 = V284444. assign V245713 = V660941 + 1. assign V841471 = V948297 + 1. assign V540546 = V903858. assign V880777 = V556201 - 1. assign V463884 = V833577 - 1. assign V445046 = V347652. assign V148188 = V634950 + 1. assign V982141 = V284444 + 1. assign V903858 = V698805. assign V142570 = V502381. assign V660941 = V948297 - 1. assign V389839 = V463884. assign V906309 = V924430 - 1. assign V502381 = V377686 - 1. assign V043589 = V497231 - 1. assign V235371 = V667643 - 1. assign V787230 = V608024. assign V990951 = V160313. assign V054279 = V463884 + 1. assign V589796 = V990951. assign V726306 = V872484 + 1. assign V556201 = V878279. assign V045066 = V726306 + 1. assign V792522 = V698805 + 1. assign V872484 = V367493 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV611984 = 4;\n\nFrom these direct assignment(s), we have: \nV631024 = V611984 = 4;\nNo other variables can be derived from V631024;\nNo other variables can be derived from V611984;\n\nNow we have done all the calculations. Derived variables are:\nV611984 = 4;\nV631024 = 4;\n\nNow we have finished this problem. ANSWER:\nV611984, V631024\n", "role": "assistant" } ]

[ "V196271" ]

[ { "content": "<context>\nassign V136049 = V302503. assign V473739 = V544832. assign V251469 = V323620. assign V571134 = V850926 + 1. assign V584688 = V302503 - 1. assign V559621 = V512614. assign V748179 = V302503 + 1. assign V283812 = V646104. assign V009560 = V485388 - 1. assign V923792 = V193166 + 1. assign V155566 = V395697 - 1. assign V131491 = V995625. assign V701337 = V473739 + 1. assign V157848 = V728457 + 1. assign V894142 = V136049 + 1. assign V728457 = V995625 + 1. assign V996851 = V323620 + 1. assign V178275 = V895852. assign V808930 = V575192. assign V395697 = V123218. assign V175354 = V136049. assign V454573 = V473739 + 1. assign V621908 = V621708 + 1. assign V236634 = V748179 + 1. assign V851822 = V559621 + 1. assign V600836 = V621908 + 1. assign V304675 = V755235 + 1. assign V380625 = V761971. assign V785663 = V454573 + 1. assign V304914 = V748179 - 1. assign V198759 = V584688 + 1. assign V291420 = 4. assign V464170 = V131491 + 1. assign V258765 = V491737 - 1. assign V363554 = V621708 - 1. assign V196271 = V291420 - 1. assign V238425 = V559621 + 1. assign V193166 = V584688. assign V491737 = V894142 + 1. assign V094923 = V559621 + 1. assign V296094 = V263837 - 1. assign V464481 = V175354 + 1. assign V323620 = V187634 - 1. assign V485388 = V584688. assign V727048 = V323620 - 1. assign V821160 = V464170 + 1. assign V406987 = V464170 + 1. assign V244334 = V324998 - 1. assign V263837 = V464170. assign V682803 = V584688 + 1. assign V895852 = V304914. assign V755235 = V302503. assign V490862 = V621908 + 1. assign V302503 = V187634. assign V324998 = V559621 + 1. assign V358508 = V155566 - 1. assign V450809 = V587817. assign V442895 = V512614 + 1. assign V113715 = V198759 - 1. assign V995625 = V251469 + 1. assign V460835 = V175354 + 1. assign V094385 = V755235. assign V019851 = V283812. assign V575192 = V076180. assign V631120 = V123218. assign V600073 = V728457 - 1. assign V646104 = V395697 - 1. assign V325256 = V894142 + 1. assign V850926 = V923792 + 1. assign V296865 = V894142 - 1. assign V761971 = V175354. assign V359543 = V995625 - 1. assign V372648 = V094385 - 1. assign V123218 = V727048 + 1. assign V076180 = V187634 + 1. assign V512614 = V727048 - 1. assign V774109 = V304914. assign V862017 = V587817 + 1. assign V487662 = V748179. assign V921325 = V559621 - 1. assign V886135 = V022689. assign V621708 = V187634 + 1. assign V944192 = V136049 - 1. assign V022689 = V187634 - 1. assign V544832 = V559621 + 1. assign V587817 = V584688 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V136049 = V302503. assign V473739 = V544832. assign V251469 = V323620. assign V571134 = V850926 + 1. assign V584688 = V302503 - 1. assign V559621 = V512614. assign V748179 = V302503 + 1. assign V283812 = V646104. assign V009560 = V485388 - 1. assign V923792 = V193166 + 1. assign V155566 = V395697 - 1. assign V131491 = V995625. assign V701337 = V473739 + 1. assign V157848 = V728457 + 1. assign V894142 = V136049 + 1. assign V728457 = V995625 + 1. assign V996851 = V323620 + 1. assign V178275 = V895852. assign V808930 = V575192. assign V395697 = V123218. assign V175354 = V136049. assign V454573 = V473739 + 1. assign V621908 = V621708 + 1. assign V236634 = V748179 + 1. assign V851822 = V559621 + 1. assign V600836 = V621908 + 1. assign V304675 = V755235 + 1. assign V380625 = V761971. assign V785663 = V454573 + 1. assign V304914 = V748179 - 1. assign V198759 = V584688 + 1. assign V291420 = 4. assign V464170 = V131491 + 1. assign V258765 = V491737 - 1. assign V363554 = V621708 - 1. assign V196271 = V291420 - 1. assign V238425 = V559621 + 1. assign V193166 = V584688. assign V491737 = V894142 + 1. assign V094923 = V559621 + 1. assign V296094 = V263837 - 1. assign V464481 = V175354 + 1. assign V323620 = V187634 - 1. assign V485388 = V584688. assign V727048 = V323620 - 1. assign V821160 = V464170 + 1. assign V406987 = V464170 + 1. assign V244334 = V324998 - 1. assign V263837 = V464170. assign V682803 = V584688 + 1. assign V895852 = V304914. assign V755235 = V302503. assign V490862 = V621908 + 1. assign V302503 = V187634. assign V324998 = V559621 + 1. assign V358508 = V155566 - 1. assign V450809 = V587817. assign V442895 = V512614 + 1. assign V113715 = V198759 - 1. assign V995625 = V251469 + 1. assign V460835 = V175354 + 1. assign V094385 = V755235. assign V019851 = V283812. assign V575192 = V076180. assign V631120 = V123218. assign V600073 = V728457 - 1. assign V646104 = V395697 - 1. assign V325256 = V894142 + 1. assign V850926 = V923792 + 1. assign V296865 = V894142 - 1. assign V761971 = V175354. assign V359543 = V995625 - 1. assign V372648 = V094385 - 1. assign V123218 = V727048 + 1. assign V076180 = V187634 + 1. assign V512614 = V727048 - 1. assign V774109 = V304914. assign V862017 = V587817 + 1. assign V487662 = V748179. assign V921325 = V559621 - 1. assign V886135 = V022689. assign V621708 = V187634 + 1. assign V944192 = V136049 - 1. assign V022689 = V187634 - 1. assign V544832 = V559621 + 1. assign V587817 = V584688 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV291420 = 4;\n\nFrom these direct assignment(s), we have: \nV196271 = V291420 - 1 = 4 - 1 =3;\nNo other variables can be derived from V196271;\nNo other variables can be derived from V291420;\n\nNow we have done all the calculations. Derived variables are:\nV291420 = 4;\nV196271 = 3;\n\nNow we have finished this problem. ANSWER:\nV196271\n", "role": "assistant" } ]

[ "V521412" ]

[ { "content": "<context>\nassign V166574 = V339533 - 1. assign V737947 = V195804 + 1. assign V730814 = V665980 - 1. assign V850988 = V195804 - 1. assign V403122 = V209182 - 1. assign V681739 = V699352 + 1. assign V338401 = V209182. assign V450039 = V127453 + 1. assign V924610 = V300968. assign V503206 = V781057 + 1. assign V005610 = V083587 - 1. assign V317986 = V166574 + 1. assign V405600 = V389358 - 1. assign V958405 = V730814. assign V124641 = V083587. assign V973755 = V434231 - 1. assign V030373 = V389358. assign V195804 = V781057 - 1. assign V679795 = V080913. assign V469697 = V202257 - 1. assign V235553 = V711814. assign V300968 = V209182 - 1. assign V858928 = V811352 - 1. assign V739156 = V811352 - 1. assign V706239 = V031415 + 1. assign V277137 = V017209. assign V297407 = V189122 + 1. assign V710889 = V427678 + 1. assign V083587 = V225281. assign V395575 = V127453. assign V165198 = V070178. assign V516898 = V207865. assign V087500 = V391571 + 1. assign V107457 = V120253. assign V437731 = V696714. assign V699352 = V995474 - 1. assign V665980 = V973755 + 1. assign V017209 = V127453 - 1. assign V995474 = V739156 + 1. assign V696714 = V083587 + 1. assign V811352 = V127453. assign V121235 = V300968 + 1. assign V952745 = V127453 - 1. assign V392769 = V850988 - 1. assign V692798 = V781057. assign V751322 = V692798 + 1. assign V876939 = V699352 - 1. assign V463971 = V450039 + 1. assign V940963 = V427678 + 1. assign V207865 = V692798 - 1. assign V225281 = V127453 + 1. assign V373011 = V952745. assign V940394 = V395575. assign V781057 = V395575 - 1. assign V870901 = V890082 + 1. assign V218215 = V277137 - 1. assign V175983 = V679795. assign V339533 = V209182 - 1. assign V479167 = V692798 - 1. assign V899387 = V120253. assign V389358 = V195804 - 1. assign V890082 = V403122 - 1. assign V391571 = V127453 + 1. assign V935245 = V469697 + 1. assign V711814 = V209182. assign V434231 = V692798. assign V202257 = V373011 + 1. assign V070178 = V080913. assign V189122 = V017209. assign V832116 = V463971 - 1. assign V570106 = V189122. assign V314943 = V080913 - 1. assign V080913 = V850988 - 1. assign V031415 = V308980 - 1. assign V588866 = V225281 + 1. assign V205675 = V699352. assign V427678 = V737947 + 1. assign V778573 = V373011 + 1. assign V308980 = V588866. assign V521412 = 9. assign V507203 = V521412 + 1. assign V912391 = V434231 + 1. assign V850874 = V973755. assign V120253 = V692798 - 1. assign V859889 = V395575 - 1. assign V209182 = V127453 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V166574 = V339533 - 1. assign V737947 = V195804 + 1. assign V730814 = V665980 - 1. assign V850988 = V195804 - 1. assign V403122 = V209182 - 1. assign V681739 = V699352 + 1. assign V338401 = V209182. assign V450039 = V127453 + 1. assign V924610 = V300968. assign V503206 = V781057 + 1. assign V005610 = V083587 - 1. assign V317986 = V166574 + 1. assign V405600 = V389358 - 1. assign V958405 = V730814. assign V124641 = V083587. assign V973755 = V434231 - 1. assign V030373 = V389358. assign V195804 = V781057 - 1. assign V679795 = V080913. assign V469697 = V202257 - 1. assign V235553 = V711814. assign V300968 = V209182 - 1. assign V858928 = V811352 - 1. assign V739156 = V811352 - 1. assign V706239 = V031415 + 1. assign V277137 = V017209. assign V297407 = V189122 + 1. assign V710889 = V427678 + 1. assign V083587 = V225281. assign V395575 = V127453. assign V165198 = V070178. assign V516898 = V207865. assign V087500 = V391571 + 1. assign V107457 = V120253. assign V437731 = V696714. assign V699352 = V995474 - 1. assign V665980 = V973755 + 1. assign V017209 = V127453 - 1. assign V995474 = V739156 + 1. assign V696714 = V083587 + 1. assign V811352 = V127453. assign V121235 = V300968 + 1. assign V952745 = V127453 - 1. assign V392769 = V850988 - 1. assign V692798 = V781057. assign V751322 = V692798 + 1. assign V876939 = V699352 - 1. assign V463971 = V450039 + 1. assign V940963 = V427678 + 1. assign V207865 = V692798 - 1. assign V225281 = V127453 + 1. assign V373011 = V952745. assign V940394 = V395575. assign V781057 = V395575 - 1. assign V870901 = V890082 + 1. assign V218215 = V277137 - 1. assign V175983 = V679795. assign V339533 = V209182 - 1. assign V479167 = V692798 - 1. assign V899387 = V120253. assign V389358 = V195804 - 1. assign V890082 = V403122 - 1. assign V391571 = V127453 + 1. assign V935245 = V469697 + 1. assign V711814 = V209182. assign V434231 = V692798. assign V202257 = V373011 + 1. assign V070178 = V080913. assign V189122 = V017209. assign V832116 = V463971 - 1. assign V570106 = V189122. assign V314943 = V080913 - 1. assign V080913 = V850988 - 1. assign V031415 = V308980 - 1. assign V588866 = V225281 + 1. assign V205675 = V699352. assign V427678 = V737947 + 1. assign V778573 = V373011 + 1. assign V308980 = V588866. assign V521412 = 9. assign V507203 = V521412 + 1. assign V912391 = V434231 + 1. assign V850874 = V973755. assign V120253 = V692798 - 1. assign V859889 = V395575 - 1. assign V209182 = V127453 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV521412 = 9;\n\nFrom these direct assignment(s), we have: \nV507203 = V521412 + 1 = 9 + 1 =10;\nNo other variables can be derived from V507203;\nNo other variables can be derived from V521412;\n\nNow we have done all the calculations. Derived variables are:\nV521412 = 9;\nV507203 = 10;\n\nNow we have finished this problem. ANSWER:\nV521412\n", "role": "assistant" } ]

[ "V394182" ]

[ { "content": "<context>\nassign V669224 = V343818 - 1. assign V243180 = V665128 + 1. assign V996850 = V560501 - 1. assign V151385 = V243180. assign V600379 = V201654. assign V478655 = V568038. assign V510107 = V082197 + 1. assign V801741 = V834559 + 1. assign V629579 = V394182 + 1. assign V448400 = V243180 - 1. assign V667919 = V630296. assign V718090 = V554869 - 1. assign V082197 = V002040 - 1. assign V558679 = V510107 + 1. assign V327689 = V500146. assign V692276 = V436161. assign V923527 = V500146 - 1. assign V951954 = V486561. assign V486561 = V771349 + 1. assign V984581 = V943102 + 1. assign V930932 = V866397. assign V726545 = V082197 - 1. assign V554869 = V002040 + 1. assign V394182 = 7. assign V697913 = V664230 + 1. assign V103634 = V801741. assign V332054 = V343818 - 1. assign V556419 = V394081 + 1. assign V205059 = V667919. assign V630296 = V943102 - 1. assign V345155 = V007048 - 1. assign V201654 = V558679 + 1. assign V959226 = V243180. assign V690361 = V664230. assign V776436 = V759626 - 1. assign V436161 = V652197. assign V441191 = V151385. assign V889404 = V486561. assign V664230 = V510107 + 1. assign V096354 = V325553. assign V759626 = V718090 - 1. assign V250596 = V984581. assign V500146 = V082197 + 1. assign V327577 = V394081 - 1. assign V568038 = V002040 - 1. assign V808544 = V325553 - 1. assign V017463 = V201654 + 1. assign V325553 = V176865. assign V231094 = V103634 + 1. assign V441704 = V112649. assign V176865 = V112649 - 1. assign V112649 = V977443. assign V034356 = V002040. assign V241247 = V500146. assign V437069 = V726545 + 1. assign V771349 = V510107 + 1. assign V325138 = V866397. assign V834559 = V560501. assign V560501 = V082197 + 1. assign V482876 = V225236 + 1. assign V377483 = V943102 - 1. assign V950767 = V554869. assign V896017 = V448400. assign V648761 = V332054. assign V007048 = V626139 + 1. assign V296246 = V327689. assign V958359 = V486561 - 1. assign V415369 = V377483 - 1. assign V943102 = V664230 - 1. assign V626139 = V112649. assign V786451 = V325553. assign V395185 = V558679 + 1. assign V875985 = V558679. assign V665128 = V950767 + 1. assign V168956 = V349885. assign V866397 = V558679. assign V343818 = V726545 + 1. assign V225236 = V556419. assign V394081 = V996850. assign V382445 = V395185 - 1. assign V349885 = V801741. assign V784907 = V984581 + 1. assign V362203 = V558679. assign V692616 = V002040 - 1. assign V977443 = V554869 + 1. assign V652197 = V558679.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V669224 = V343818 - 1. assign V243180 = V665128 + 1. assign V996850 = V560501 - 1. assign V151385 = V243180. assign V600379 = V201654. assign V478655 = V568038. assign V510107 = V082197 + 1. assign V801741 = V834559 + 1. assign V629579 = V394182 + 1. assign V448400 = V243180 - 1. assign V667919 = V630296. assign V718090 = V554869 - 1. assign V082197 = V002040 - 1. assign V558679 = V510107 + 1. assign V327689 = V500146. assign V692276 = V436161. assign V923527 = V500146 - 1. assign V951954 = V486561. assign V486561 = V771349 + 1. assign V984581 = V943102 + 1. assign V930932 = V866397. assign V726545 = V082197 - 1. assign V554869 = V002040 + 1. assign V394182 = 7. assign V697913 = V664230 + 1. assign V103634 = V801741. assign V332054 = V343818 - 1. assign V556419 = V394081 + 1. assign V205059 = V667919. assign V630296 = V943102 - 1. assign V345155 = V007048 - 1. assign V201654 = V558679 + 1. assign V959226 = V243180. assign V690361 = V664230. assign V776436 = V759626 - 1. assign V436161 = V652197. assign V441191 = V151385. assign V889404 = V486561. assign V664230 = V510107 + 1. assign V096354 = V325553. assign V759626 = V718090 - 1. assign V250596 = V984581. assign V500146 = V082197 + 1. assign V327577 = V394081 - 1. assign V568038 = V002040 - 1. assign V808544 = V325553 - 1. assign V017463 = V201654 + 1. assign V325553 = V176865. assign V231094 = V103634 + 1. assign V441704 = V112649. assign V176865 = V112649 - 1. assign V112649 = V977443. assign V034356 = V002040. assign V241247 = V500146. assign V437069 = V726545 + 1. assign V771349 = V510107 + 1. assign V325138 = V866397. assign V834559 = V560501. assign V560501 = V082197 + 1. assign V482876 = V225236 + 1. assign V377483 = V943102 - 1. assign V950767 = V554869. assign V896017 = V448400. assign V648761 = V332054. assign V007048 = V626139 + 1. assign V296246 = V327689. assign V958359 = V486561 - 1. assign V415369 = V377483 - 1. assign V943102 = V664230 - 1. assign V626139 = V112649. assign V786451 = V325553. assign V395185 = V558679 + 1. assign V875985 = V558679. assign V665128 = V950767 + 1. assign V168956 = V349885. assign V866397 = V558679. assign V343818 = V726545 + 1. assign V225236 = V556419. assign V394081 = V996850. assign V382445 = V395185 - 1. assign V349885 = V801741. assign V784907 = V984581 + 1. assign V362203 = V558679. assign V692616 = V002040 - 1. assign V977443 = V554869 + 1. assign V652197 = V558679.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV394182 = 7;\n\nFrom these direct assignment(s), we have: \nV629579 = V394182 + 1 = 7 + 1 =8;\nNo other variables can be derived from V629579;\nNo other variables can be derived from V394182;\n\nNow we have done all the calculations. Derived variables are:\nV394182 = 7;\nV629579 = 8;\n\nNow we have finished this problem. ANSWER:\nV394182\n", "role": "assistant" } ]

[ "V412203" ]

[ { "content": "<context>\nassign V389869 = V443329. assign V678977 = V820400 + 1. assign V986721 = V235210 - 1. assign V302544 = V960321. assign V235713 = V423938 - 1. assign V075562 = V548137 - 1. assign V887972 = V475286 + 1. assign V146080 = V286472 + 1. assign V423938 = V462652 - 1. assign V839221 = V462652. assign V122046 = V226776. assign V412203 = 4. assign V996996 = V422229 + 1. assign V147757 = V631089. assign V227451 = V286472. assign V320628 = V226776. assign V734580 = V631089. assign V421549 = V480022. assign V873682 = V841335 + 1. assign V524293 = V204775 + 1. assign V616592 = V198175 - 1. assign V081084 = V462652. assign V548137 = V147757 - 1. assign V756438 = V081084 + 1. assign V973877 = V631089 + 1. assign V602825 = V412203 + 1. assign V421804 = V647949 + 1. assign V422229 = V085503 + 1. assign V860230 = V091708. assign V475286 = V091708. assign V435148 = V586783 + 1. assign V119545 = V820400 + 1. assign V722900 = V884487 - 1. assign V820400 = V631089. assign V085503 = V631089 + 1. assign V480022 = V647949 - 1. assign V586783 = V097274 + 1. assign V040534 = V734580 - 1. assign V884487 = V104064 + 1. assign V139610 = V097274. assign V022451 = V841335. assign V197584 = V631089 + 1. assign V204775 = V197584 - 1. assign V387970 = V022451. assign V527682 = V975470 - 1. assign V960321 = V422229 - 1. assign V642185 = V860230 - 1. assign V781013 = V820400. assign V462652 = V147757 - 1. assign V834936 = V887972 + 1. assign V226776 = V077629. assign V104064 = V756438 - 1. assign V175077 = V097274. assign V948674 = V616592 - 1. assign V036816 = V734580 - 1. assign V925191 = V475286 - 1. assign V841335 = V960321 - 1. assign V265289 = V300855 - 1. assign V788853 = V227451. assign V217296 = V839221 + 1. assign V975470 = V197584 + 1. assign V198175 = V480022 + 1. assign V408334 = V480022 + 1. assign V926673 = V839221. assign V647949 = V197584 - 1. assign V797535 = V443329 + 1. assign V360512 = V631089. assign V286472 = V480022 - 1. assign V443329 = V198175 - 1. assign V091708 = V960321 - 1. assign V320179 = V091708. assign V930719 = V480022 + 1. assign V006953 = V119545 - 1. assign V235210 = V217296 - 1. assign V175215 = V197584 - 1. assign V300855 = V235210. assign V521748 = V435148 + 1. assign V681436 = V235210. assign V021867 = V948674 - 1. assign V979024 = V265289 + 1. assign V868962 = V756438 - 1. assign V077629 = V979024 + 1. assign V256094 = V097274. assign V510318 = V841335 + 1. assign V097274 = V198175 + 1. assign V721715 = V996996 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V389869 = V443329. assign V678977 = V820400 + 1. assign V986721 = V235210 - 1. assign V302544 = V960321. assign V235713 = V423938 - 1. assign V075562 = V548137 - 1. assign V887972 = V475286 + 1. assign V146080 = V286472 + 1. assign V423938 = V462652 - 1. assign V839221 = V462652. assign V122046 = V226776. assign V412203 = 4. assign V996996 = V422229 + 1. assign V147757 = V631089. assign V227451 = V286472. assign V320628 = V226776. assign V734580 = V631089. assign V421549 = V480022. assign V873682 = V841335 + 1. assign V524293 = V204775 + 1. assign V616592 = V198175 - 1. assign V081084 = V462652. assign V548137 = V147757 - 1. assign V756438 = V081084 + 1. assign V973877 = V631089 + 1. assign V602825 = V412203 + 1. assign V421804 = V647949 + 1. assign V422229 = V085503 + 1. assign V860230 = V091708. assign V475286 = V091708. assign V435148 = V586783 + 1. assign V119545 = V820400 + 1. assign V722900 = V884487 - 1. assign V820400 = V631089. assign V085503 = V631089 + 1. assign V480022 = V647949 - 1. assign V586783 = V097274 + 1. assign V040534 = V734580 - 1. assign V884487 = V104064 + 1. assign V139610 = V097274. assign V022451 = V841335. assign V197584 = V631089 + 1. assign V204775 = V197584 - 1. assign V387970 = V022451. assign V527682 = V975470 - 1. assign V960321 = V422229 - 1. assign V642185 = V860230 - 1. assign V781013 = V820400. assign V462652 = V147757 - 1. assign V834936 = V887972 + 1. assign V226776 = V077629. assign V104064 = V756438 - 1. assign V175077 = V097274. assign V948674 = V616592 - 1. assign V036816 = V734580 - 1. assign V925191 = V475286 - 1. assign V841335 = V960321 - 1. assign V265289 = V300855 - 1. assign V788853 = V227451. assign V217296 = V839221 + 1. assign V975470 = V197584 + 1. assign V198175 = V480022 + 1. assign V408334 = V480022 + 1. assign V926673 = V839221. assign V647949 = V197584 - 1. assign V797535 = V443329 + 1. assign V360512 = V631089. assign V286472 = V480022 - 1. assign V443329 = V198175 - 1. assign V091708 = V960321 - 1. assign V320179 = V091708. assign V930719 = V480022 + 1. assign V006953 = V119545 - 1. assign V235210 = V217296 - 1. assign V175215 = V197584 - 1. assign V300855 = V235210. assign V521748 = V435148 + 1. assign V681436 = V235210. assign V021867 = V948674 - 1. assign V979024 = V265289 + 1. assign V868962 = V756438 - 1. assign V077629 = V979024 + 1. assign V256094 = V097274. assign V510318 = V841335 + 1. assign V097274 = V198175 + 1. assign V721715 = V996996 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV412203 = 4;\n\nFrom these direct assignment(s), we have: \nV602825 = V412203 + 1 = 4 + 1 =5;\nNo other variables can be derived from V602825;\nNo other variables can be derived from V412203;\n\nNow we have done all the calculations. Derived variables are:\nV412203 = 4;\nV602825 = 5;\n\nNow we have finished this problem. ANSWER:\nV412203\n", "role": "assistant" } ]

[ "V245941" ]

[ { "content": "<context>\nassign V141462 = V060211 - 1. assign V422351 = V816585 + 1. assign V317539 = V141462. assign V558364 = V851657 - 1. assign V506753 = V117099 + 1. assign V677316 = V948051 - 1. assign V664533 = V482285. assign V851844 = V255510 + 1. assign V964817 = V335588 - 1. assign V843614 = V747931 - 1. assign V861338 = V811542. assign V454690 = V354678. assign V186172 = V166702. assign V692375 = V779334 - 1. assign V385106 = V347420 + 1. assign V332663 = V783965 + 1. assign V212576 = V816585 + 1. assign V413564 = V249682 - 1. assign V083450 = V117099 - 1. assign V166702 = V923762. assign V254768 = V392764. assign V469378 = V789473 + 1. assign V683926 = V482285 - 1. assign V733946 = V469378 - 1. assign V244740 = V347420. assign V689441 = V233828. assign V387814 = V389074 + 1. assign V783965 = V140020. assign V060211 = V182365. assign V413443 = V105345 - 1. assign V923762 = V418334 - 1. assign V482285 = V747931. assign V233828 = V392764 + 1. assign V392764 = V789473. assign V140020 = V354678 - 1. assign V816585 = V811542 - 1. assign V892464 = V789473 + 1. assign V529004 = V779334. assign V255510 = V851657 - 1. assign V747931 = V182365 + 1. assign V105678 = V117099. assign V694660 = V421266 + 1. assign V657483 = V335588 + 1. assign V364621 = V354678 + 1. assign V250044 = V482285. assign V421266 = V948051. assign V029014 = V141257. assign V851657 = V601047. assign V757556 = V317539. assign V141257 = V364621. assign V251950 = V558364 + 1. assign V412886 = V733946 + 1. assign V117099 = V335588 - 1. assign V418334 = V060211 + 1. assign V389074 = V117099 - 1. assign V656271 = V347420 - 1. assign V734162 = V692375 + 1. assign V335588 = V060211 + 1. assign V776500 = V779334 - 1. assign V792765 = V392764 + 1. assign V811542 = V147804. assign V147804 = V060211. assign V036426 = V558364. assign V043821 = V601047 - 1. assign V789473 = V347420 + 1. assign V213371 = V467582 - 1. assign V951344 = V851657. assign V390421 = 1. assign V707006 = V244740 + 1. assign V259078 = V036426 - 1. assign V628486 = V412886 + 1. assign V948051 = V244740 + 1. assign V007350 = V043821. assign V249682 = V418334. assign V813243 = V529004 + 1. assign V601047 = V060211 - 1. assign V018475 = V951344 - 1. assign V182365 = V467582 + 1. assign V779334 = V354678. assign V789500 = V317539. assign V105345 = V043821. assign V245941 = V390421 + 1. assign V354678 = V467582 + 1. assign V209727 = V694660. assign V684934 = V140020 + 1. assign V347420 = V182365.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V141462 = V060211 - 1. assign V422351 = V816585 + 1. assign V317539 = V141462. assign V558364 = V851657 - 1. assign V506753 = V117099 + 1. assign V677316 = V948051 - 1. assign V664533 = V482285. assign V851844 = V255510 + 1. assign V964817 = V335588 - 1. assign V843614 = V747931 - 1. assign V861338 = V811542. assign V454690 = V354678. assign V186172 = V166702. assign V692375 = V779334 - 1. assign V385106 = V347420 + 1. assign V332663 = V783965 + 1. assign V212576 = V816585 + 1. assign V413564 = V249682 - 1. assign V083450 = V117099 - 1. assign V166702 = V923762. assign V254768 = V392764. assign V469378 = V789473 + 1. assign V683926 = V482285 - 1. assign V733946 = V469378 - 1. assign V244740 = V347420. assign V689441 = V233828. assign V387814 = V389074 + 1. assign V783965 = V140020. assign V060211 = V182365. assign V413443 = V105345 - 1. assign V923762 = V418334 - 1. assign V482285 = V747931. assign V233828 = V392764 + 1. assign V392764 = V789473. assign V140020 = V354678 - 1. assign V816585 = V811542 - 1. assign V892464 = V789473 + 1. assign V529004 = V779334. assign V255510 = V851657 - 1. assign V747931 = V182365 + 1. assign V105678 = V117099. assign V694660 = V421266 + 1. assign V657483 = V335588 + 1. assign V364621 = V354678 + 1. assign V250044 = V482285. assign V421266 = V948051. assign V029014 = V141257. assign V851657 = V601047. assign V757556 = V317539. assign V141257 = V364621. assign V251950 = V558364 + 1. assign V412886 = V733946 + 1. assign V117099 = V335588 - 1. assign V418334 = V060211 + 1. assign V389074 = V117099 - 1. assign V656271 = V347420 - 1. assign V734162 = V692375 + 1. assign V335588 = V060211 + 1. assign V776500 = V779334 - 1. assign V792765 = V392764 + 1. assign V811542 = V147804. assign V147804 = V060211. assign V036426 = V558364. assign V043821 = V601047 - 1. assign V789473 = V347420 + 1. assign V213371 = V467582 - 1. assign V951344 = V851657. assign V390421 = 1. assign V707006 = V244740 + 1. assign V259078 = V036426 - 1. assign V628486 = V412886 + 1. assign V948051 = V244740 + 1. assign V007350 = V043821. assign V249682 = V418334. assign V813243 = V529004 + 1. assign V601047 = V060211 - 1. assign V018475 = V951344 - 1. assign V182365 = V467582 + 1. assign V779334 = V354678. assign V789500 = V317539. assign V105345 = V043821. assign V245941 = V390421 + 1. assign V354678 = V467582 + 1. assign V209727 = V694660. assign V684934 = V140020 + 1. assign V347420 = V182365.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV390421 = 1;\n\nFrom these direct assignment(s), we have: \nV245941 = V390421 + 1 = 1 + 1 =2;\nNo other variables can be derived from V245941;\nNo other variables can be derived from V390421;\n\nNow we have done all the calculations. Derived variables are:\nV390421 = 1;\nV245941 = 2;\n\nNow we have finished this problem. ANSWER:\nV245941\n", "role": "assistant" } ]

[ "V722872" ]

[ { "content": "<context>\nassign V868334 = V259854. assign V602654 = V784261. assign V322148 = V780280 - 1. assign V327449 = V254819 + 1. assign V707823 = V653519 + 1. assign V268291 = V758858 + 1. assign V820582 = V602654. assign V267564 = V605365 - 1. assign V817306 = V212906. assign V336778 = V780280 - 1. assign V858580 = V602654. assign V997116 = V864567. assign V448582 = V820582 - 1. assign V711293 = V512967 - 1. assign V287552 = V962718. assign V217737 = V259854. assign V355610 = V212906. assign V265101 = V397067 + 1. assign V814449 = V327587 + 1. assign V348016 = V653519. assign V006064 = V233482. assign V692042 = V784261 - 1. assign V577822 = V348016 - 1. assign V032346 = V259854 - 1. assign V758552 = V864567 + 1. assign V721720 = V355610 - 1. assign V397067 = V212906 + 1. assign V498766 = V977852 - 1. assign V711639 = V322148 + 1. assign V962718 = V653519 + 1. assign V257310 = V653519 - 1. assign V653519 = V355610 + 1. assign V739504 = V785532. assign V099686 = V739504 + 1. assign V785654 = V692042 + 1. assign V233482 = V212906 - 1. assign V820917 = V784261 - 1. assign V446366 = V739504. assign V722872 = V194541 + 1. assign V125245 = V625433 + 1. assign V194541 = 3. assign V502863 = V858580. assign V254819 = V322148 - 1. assign V780280 = V653519 + 1. assign V428209 = V217737 - 1. assign V605602 = V322148 + 1. assign V894259 = V233482. assign V131824 = V397067 + 1. assign V503565 = V625433. assign V864567 = V784261 + 1. assign V977852 = V257310 + 1. assign V758858 = V322148 - 1. assign V617036 = V864567. assign V625433 = V653519 - 1. assign V941278 = V512967. assign V607352 = V336614. assign V695481 = V894259. assign V621942 = V397067 + 1. assign V872063 = V212906. assign V219739 = V707823. assign V663668 = V941278 + 1. assign V259854 = V817306 + 1. assign V707803 = V625433 + 1. assign V605365 = V872063. assign V327013 = V625433 - 1. assign V327587 = V233482 - 1. assign V436221 = V864567 + 1. assign V645660 = V707823. assign V833418 = V894259 - 1. assign V769790 = V233482. assign V901046 = V503565. assign V473236 = V864567 - 1. assign V288291 = V780280 - 1. assign V610919 = V872063 - 1. assign V478227 = V267564 - 1. assign V379930 = V769790 + 1. assign V785532 = V872063 - 1. assign V475069 = V780280 + 1. assign V506095 = V962718 - 1. assign V764878 = V605365 - 1. assign V896948 = V769790 - 1. assign V512967 = V894259 + 1. assign V770859 = V941278 + 1. assign V609921 = V512967 + 1. assign V336614 = V864567 + 1. assign V212906 = V692042.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V868334 = V259854. assign V602654 = V784261. assign V322148 = V780280 - 1. assign V327449 = V254819 + 1. assign V707823 = V653519 + 1. assign V268291 = V758858 + 1. assign V820582 = V602654. assign V267564 = V605365 - 1. assign V817306 = V212906. assign V336778 = V780280 - 1. assign V858580 = V602654. assign V997116 = V864567. assign V448582 = V820582 - 1. assign V711293 = V512967 - 1. assign V287552 = V962718. assign V217737 = V259854. assign V355610 = V212906. assign V265101 = V397067 + 1. assign V814449 = V327587 + 1. assign V348016 = V653519. assign V006064 = V233482. assign V692042 = V784261 - 1. assign V577822 = V348016 - 1. assign V032346 = V259854 - 1. assign V758552 = V864567 + 1. assign V721720 = V355610 - 1. assign V397067 = V212906 + 1. assign V498766 = V977852 - 1. assign V711639 = V322148 + 1. assign V962718 = V653519 + 1. assign V257310 = V653519 - 1. assign V653519 = V355610 + 1. assign V739504 = V785532. assign V099686 = V739504 + 1. assign V785654 = V692042 + 1. assign V233482 = V212906 - 1. assign V820917 = V784261 - 1. assign V446366 = V739504. assign V722872 = V194541 + 1. assign V125245 = V625433 + 1. assign V194541 = 3. assign V502863 = V858580. assign V254819 = V322148 - 1. assign V780280 = V653519 + 1. assign V428209 = V217737 - 1. assign V605602 = V322148 + 1. assign V894259 = V233482. assign V131824 = V397067 + 1. assign V503565 = V625433. assign V864567 = V784261 + 1. assign V977852 = V257310 + 1. assign V758858 = V322148 - 1. assign V617036 = V864567. assign V625433 = V653519 - 1. assign V941278 = V512967. assign V607352 = V336614. assign V695481 = V894259. assign V621942 = V397067 + 1. assign V872063 = V212906. assign V219739 = V707823. assign V663668 = V941278 + 1. assign V259854 = V817306 + 1. assign V707803 = V625433 + 1. assign V605365 = V872063. assign V327013 = V625433 - 1. assign V327587 = V233482 - 1. assign V436221 = V864567 + 1. assign V645660 = V707823. assign V833418 = V894259 - 1. assign V769790 = V233482. assign V901046 = V503565. assign V473236 = V864567 - 1. assign V288291 = V780280 - 1. assign V610919 = V872063 - 1. assign V478227 = V267564 - 1. assign V379930 = V769790 + 1. assign V785532 = V872063 - 1. assign V475069 = V780280 + 1. assign V506095 = V962718 - 1. assign V764878 = V605365 - 1. assign V896948 = V769790 - 1. assign V512967 = V894259 + 1. assign V770859 = V941278 + 1. assign V609921 = V512967 + 1. assign V336614 = V864567 + 1. assign V212906 = V692042.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV194541 = 3;\n\nFrom these direct assignment(s), we have: \nV722872 = V194541 + 1 = 3 + 1 =4;\nNo other variables can be derived from V722872;\nNo other variables can be derived from V194541;\n\nNow we have done all the calculations. Derived variables are:\nV194541 = 3;\nV722872 = 4;\n\nNow we have finished this problem. ANSWER:\nV722872\n", "role": "assistant" } ]

[ "V236264", "V275347" ]

[ { "content": "<context>\nassign V962068 = V482542 - 1. assign V244958 = V944373 + 1. assign V287350 = V052821. assign V453114 = V219587 - 1. assign V675132 = V266212 + 1. assign V050499 = V125210 + 1. assign V863904 = V077665. assign V071900 = V791863 + 1. assign V050627 = V885860. assign V547299 = V416619. assign V416619 = V278924 - 1. assign V615538 = V654507. assign V125210 = V482542. assign V053097 = V849647 + 1. assign V025548 = V053097 - 1. assign V691845 = V791863. assign V149569 = V695971. assign V331377 = V453114 - 1. assign V932238 = V177202 - 1. assign V715654 = V482542 - 1. assign V000499 = V849647 + 1. assign V035172 = V050499 - 1. assign V239989 = V962068 - 1. assign V336239 = V567293. assign V911280 = V866941 + 1. assign V351468 = V266212 - 1. assign V015926 = V454282 - 1. assign V843791 = V282416 - 1. assign V567293 = V996103. assign V278924 = V503071. assign V554073 = V278924 - 1. assign V885860 = V035172. assign V603094 = V300026 + 1. assign V944373 = V077665 - 1. assign V149259 = V603094. assign V454282 = V035172 - 1. assign V184719 = V866941. assign V810211 = V351468 - 1. assign V266212 = V866941 + 1. assign V849647 = V266212 - 1. assign V328111 = V863904 - 1. assign V012111 = V053097 + 1. assign V068839 = V911280 + 1. assign V282416 = V020170 + 1. assign V266735 = V791863. assign V395343 = V695971 - 1. assign V217736 = V320057 + 1. assign V067157 = V025548. assign V513626 = V071900 - 1. assign V559395 = V053097 - 1. assign V376494 = V672572 + 1. assign V300026 = V503071. assign V672572 = V351468 + 1. assign V424965 = V996103 - 1. assign V996103 = V503071 + 1. assign V275347 = V236264. assign V357894 = V149259 - 1. assign V007689 = V567293 - 1. assign V199613 = V944373 + 1. assign V052821 = V300026. assign V246205 = V217736 - 1. assign V020170 = V125210 + 1. assign V791863 = V996103. assign V077665 = V567293 + 1. assign V302992 = V482542. assign V482542 = V219587. assign V217496 = V300026. assign V575860 = V266212. assign V592321 = V503071 - 1. assign V915916 = V067157 + 1. assign V866941 = V695971 + 1. assign V401659 = V962068 + 1. assign V782644 = V067157. assign V695971 = V219587. assign V503071 = V482542. assign V673410 = V149259 + 1. assign V497413 = V675132 + 1. assign V320057 = V351468. assign V648059 = V996103. assign V249214 = V715654 - 1. assign V177202 = V885860. assign V317893 = V575860 + 1. assign V414655 = V239989. assign V654507 = V503071. assign V236264 = 6. assign V704276 = V567293.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V962068 = V482542 - 1. assign V244958 = V944373 + 1. assign V287350 = V052821. assign V453114 = V219587 - 1. assign V675132 = V266212 + 1. assign V050499 = V125210 + 1. assign V863904 = V077665. assign V071900 = V791863 + 1. assign V050627 = V885860. assign V547299 = V416619. assign V416619 = V278924 - 1. assign V615538 = V654507. assign V125210 = V482542. assign V053097 = V849647 + 1. assign V025548 = V053097 - 1. assign V691845 = V791863. assign V149569 = V695971. assign V331377 = V453114 - 1. assign V932238 = V177202 - 1. assign V715654 = V482542 - 1. assign V000499 = V849647 + 1. assign V035172 = V050499 - 1. assign V239989 = V962068 - 1. assign V336239 = V567293. assign V911280 = V866941 + 1. assign V351468 = V266212 - 1. assign V015926 = V454282 - 1. assign V843791 = V282416 - 1. assign V567293 = V996103. assign V278924 = V503071. assign V554073 = V278924 - 1. assign V885860 = V035172. assign V603094 = V300026 + 1. assign V944373 = V077665 - 1. assign V149259 = V603094. assign V454282 = V035172 - 1. assign V184719 = V866941. assign V810211 = V351468 - 1. assign V266212 = V866941 + 1. assign V849647 = V266212 - 1. assign V328111 = V863904 - 1. assign V012111 = V053097 + 1. assign V068839 = V911280 + 1. assign V282416 = V020170 + 1. assign V266735 = V791863. assign V395343 = V695971 - 1. assign V217736 = V320057 + 1. assign V067157 = V025548. assign V513626 = V071900 - 1. assign V559395 = V053097 - 1. assign V376494 = V672572 + 1. assign V300026 = V503071. assign V672572 = V351468 + 1. assign V424965 = V996103 - 1. assign V996103 = V503071 + 1. assign V275347 = V236264. assign V357894 = V149259 - 1. assign V007689 = V567293 - 1. assign V199613 = V944373 + 1. assign V052821 = V300026. assign V246205 = V217736 - 1. assign V020170 = V125210 + 1. assign V791863 = V996103. assign V077665 = V567293 + 1. assign V302992 = V482542. assign V482542 = V219587. assign V217496 = V300026. assign V575860 = V266212. assign V592321 = V503071 - 1. assign V915916 = V067157 + 1. assign V866941 = V695971 + 1. assign V401659 = V962068 + 1. assign V782644 = V067157. assign V695971 = V219587. assign V503071 = V482542. assign V673410 = V149259 + 1. assign V497413 = V675132 + 1. assign V320057 = V351468. assign V648059 = V996103. assign V249214 = V715654 - 1. assign V177202 = V885860. assign V317893 = V575860 + 1. assign V414655 = V239989. assign V654507 = V503071. assign V236264 = 6. assign V704276 = V567293.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV236264 = 6;\n\nFrom these direct assignment(s), we have: \nV275347 = V236264 = 6;\nNo other variables can be derived from V275347;\nNo other variables can be derived from V236264;\n\nNow we have done all the calculations. Derived variables are:\nV236264 = 6;\nV275347 = 6;\n\nNow we have finished this problem. ANSWER:\nV236264, V275347\n", "role": "assistant" } ]

[ "V276527" ]

[ { "content": "<context>\nassign V746992 = V575970. assign V767923 = V511042. assign V839807 = V563842. assign V649684 = V235462. assign V112166 = V285266 + 1. assign V193469 = V511042. assign V776005 = V371677 + 1. assign V689866 = V116648. assign V893075 = V129888 - 1. assign V767084 = V877746 - 1. assign V795126 = V621498 - 1. assign V032568 = V616311. assign V443908 = V513430. assign V909728 = V352431 + 1. assign V721783 = V259595 + 1. assign V241341 = V331928 + 1. assign V501394 = V331928 + 1. assign V830748 = V480442 + 1. assign V528068 = V239214. assign V176130 = V115795 + 1. assign V454397 = V687804. assign V336068 = V115795. assign V591238 = V285266 + 1. assign V401798 = V285266 + 1. assign V239214 = V839807. assign V570098 = 1. assign V872584 = V575970. assign V575970 = V591238 - 1. assign V700574 = V401798. assign V534052 = V511042 - 1. assign V458374 = V863144. assign V550958 = V235462. assign V366284 = V700574 - 1. assign V852710 = V331928 - 1. assign V853933 = V371677 - 1. assign V687804 = V331928 - 1. assign V523674 = V649684 + 1. assign V162347 = V371677 + 1. assign V882327 = V852710 + 1. assign V545730 = V575970 - 1. assign V877746 = V511042 - 1. assign V371677 = V331928. assign V616311 = V562108 - 1. assign V513430 = V562108. assign V285266 = V331928. assign V571542 = V909728 - 1. assign V379109 = V235462. assign V259595 = V133083. assign V720638 = V449307. assign V276527 = V570098 + 1. assign V170898 = V133083. assign V562108 = V371677 + 1. assign V129888 = V162347. assign V511042 = V331928 + 1. assign V629970 = V454397 - 1. assign V235462 = V331928 + 1. assign V962483 = V616311 + 1. assign V076593 = V962483 - 1. assign V863144 = V746669. assign V914140 = V331928 - 1. assign V352431 = V116648. assign V916845 = V853933 + 1. assign V080918 = V746669 + 1. assign V774461 = V914819 + 1. assign V914819 = V480442. assign V449307 = V776005 + 1. assign V711532 = V162347 + 1. assign V368464 = V162347 - 1. assign V164944 = V776005. assign V621498 = V331928. assign V778104 = V115795 - 1. assign V320742 = V129888. assign V283755 = V562108 - 1. assign V116648 = V285266. assign V362896 = V241341. assign V133083 = V711532 + 1. assign V563842 = V235462. assign V692489 = V235462 + 1. assign V475111 = V080918 + 1. assign V115795 = V241341. assign V746669 = V591238 + 1. assign V813563 = V711532. assign V031931 = V480442 - 1. assign V089361 = V170898 - 1. assign V458146 = V133083 + 1. assign V480442 = V285266.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V746992 = V575970. assign V767923 = V511042. assign V839807 = V563842. assign V649684 = V235462. assign V112166 = V285266 + 1. assign V193469 = V511042. assign V776005 = V371677 + 1. assign V689866 = V116648. assign V893075 = V129888 - 1. assign V767084 = V877746 - 1. assign V795126 = V621498 - 1. assign V032568 = V616311. assign V443908 = V513430. assign V909728 = V352431 + 1. assign V721783 = V259595 + 1. assign V241341 = V331928 + 1. assign V501394 = V331928 + 1. assign V830748 = V480442 + 1. assign V528068 = V239214. assign V176130 = V115795 + 1. assign V454397 = V687804. assign V336068 = V115795. assign V591238 = V285266 + 1. assign V401798 = V285266 + 1. assign V239214 = V839807. assign V570098 = 1. assign V872584 = V575970. assign V575970 = V591238 - 1. assign V700574 = V401798. assign V534052 = V511042 - 1. assign V458374 = V863144. assign V550958 = V235462. assign V366284 = V700574 - 1. assign V852710 = V331928 - 1. assign V853933 = V371677 - 1. assign V687804 = V331928 - 1. assign V523674 = V649684 + 1. assign V162347 = V371677 + 1. assign V882327 = V852710 + 1. assign V545730 = V575970 - 1. assign V877746 = V511042 - 1. assign V371677 = V331928. assign V616311 = V562108 - 1. assign V513430 = V562108. assign V285266 = V331928. assign V571542 = V909728 - 1. assign V379109 = V235462. assign V259595 = V133083. assign V720638 = V449307. assign V276527 = V570098 + 1. assign V170898 = V133083. assign V562108 = V371677 + 1. assign V129888 = V162347. assign V511042 = V331928 + 1. assign V629970 = V454397 - 1. assign V235462 = V331928 + 1. assign V962483 = V616311 + 1. assign V076593 = V962483 - 1. assign V863144 = V746669. assign V914140 = V331928 - 1. assign V352431 = V116648. assign V916845 = V853933 + 1. assign V080918 = V746669 + 1. assign V774461 = V914819 + 1. assign V914819 = V480442. assign V449307 = V776005 + 1. assign V711532 = V162347 + 1. assign V368464 = V162347 - 1. assign V164944 = V776005. assign V621498 = V331928. assign V778104 = V115795 - 1. assign V320742 = V129888. assign V283755 = V562108 - 1. assign V116648 = V285266. assign V362896 = V241341. assign V133083 = V711532 + 1. assign V563842 = V235462. assign V692489 = V235462 + 1. assign V475111 = V080918 + 1. assign V115795 = V241341. assign V746669 = V591238 + 1. assign V813563 = V711532. assign V031931 = V480442 - 1. assign V089361 = V170898 - 1. assign V458146 = V133083 + 1. assign V480442 = V285266.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV570098 = 1;\n\nFrom these direct assignment(s), we have: \nV276527 = V570098 + 1 = 1 + 1 =2;\nNo other variables can be derived from V276527;\nNo other variables can be derived from V570098;\n\nNow we have done all the calculations. Derived variables are:\nV570098 = 1;\nV276527 = 2;\n\nNow we have finished this problem. ANSWER:\nV276527\n", "role": "assistant" } ]

[ "V928888" ]

[ { "content": "<context>\nassign V682002 = V168621. assign V989170 = V424346. assign V510950 = V639397 + 1. assign V835219 = V551633 - 1. assign V928888 = V303261 + 1. assign V116030 = V454482. assign V197035 = V189655 - 1. assign V263700 = V683202 + 1. assign V231423 = V186945 + 1. assign V330833 = V639397. assign V980969 = V186945 + 1. assign V622691 = V924870. assign V504179 = V418856. assign V640906 = V418856 - 1. assign V274641 = V138290 + 1. assign V771437 = V779914 - 1. assign V633192 = V106841. assign V700191 = V980969 - 1. assign V079756 = V934062 + 1. assign V338591 = V636567 - 1. assign V238536 = V186945 - 1. assign V259331 = V279991. assign V759038 = V330833 - 1. assign V551633 = V106841 - 1. assign V282774 = V992222. assign V106841 = V454482 - 1. assign V764408 = V213421. assign V912487 = V771437. assign V168621 = V106841. assign V518463 = V207435. assign V837219 = V454482 - 1. assign V838077 = V502212. assign V389576 = V700191 + 1. assign V576527 = V639397. assign V454482 = V186945 + 1. assign V279991 = V186945 - 1. assign V095856 = V423393 + 1. assign V110238 = V622691. assign V418856 = V231423. assign V839992 = V079756 + 1. assign V715026 = V233508 + 1. assign V138290 = V551633. assign V406729 = V551633 - 1. assign V955069 = V423393 + 1. assign V934062 = V418856. assign V472860 = V779914. assign V865597 = V837219. assign V683202 = V231423 + 1. assign V687623 = V643231 + 1. assign V639397 = V233508 + 1. assign V514985 = V454482. assign V168115 = V423393 - 1. assign V924870 = V106841 + 1. assign V467691 = V138290 - 1. assign V465425 = V418856. assign V084624 = V835219 - 1. assign V207435 = V454482. assign V985328 = V207435. assign V423393 = V238536. assign V787441 = V835219 - 1. assign V643231 = V465425. assign V548329 = V106841. assign V346731 = V622691 - 1. assign V606057 = V406729 - 1. assign V303261 = 6. assign V999521 = V640906 - 1. assign V639679 = V924870 - 1. assign V502212 = V238536 - 1. assign V504309 = V418856. assign V992222 = V446224 + 1. assign V866004 = V233508. assign V848779 = V715026 - 1. assign V519970 = V282774. assign V424346 = V233508 + 1. assign V779914 = V231423. assign V213421 = V980969 - 1. assign V636567 = V814512 - 1. assign V988901 = V639397 + 1. assign V388255 = V643231. assign V233508 = V106841 + 1. assign V446224 = V424346 + 1. assign V506059 = V548329 + 1. assign V379926 = V636567 - 1. assign V056826 = V639397 + 1. assign V189655 = V779914 + 1. assign V814512 = V502212.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V682002 = V168621. assign V989170 = V424346. assign V510950 = V639397 + 1. assign V835219 = V551633 - 1. assign V928888 = V303261 + 1. assign V116030 = V454482. assign V197035 = V189655 - 1. assign V263700 = V683202 + 1. assign V231423 = V186945 + 1. assign V330833 = V639397. assign V980969 = V186945 + 1. assign V622691 = V924870. assign V504179 = V418856. assign V640906 = V418856 - 1. assign V274641 = V138290 + 1. assign V771437 = V779914 - 1. assign V633192 = V106841. assign V700191 = V980969 - 1. assign V079756 = V934062 + 1. assign V338591 = V636567 - 1. assign V238536 = V186945 - 1. assign V259331 = V279991. assign V759038 = V330833 - 1. assign V551633 = V106841 - 1. assign V282774 = V992222. assign V106841 = V454482 - 1. assign V764408 = V213421. assign V912487 = V771437. assign V168621 = V106841. assign V518463 = V207435. assign V837219 = V454482 - 1. assign V838077 = V502212. assign V389576 = V700191 + 1. assign V576527 = V639397. assign V454482 = V186945 + 1. assign V279991 = V186945 - 1. assign V095856 = V423393 + 1. assign V110238 = V622691. assign V418856 = V231423. assign V839992 = V079756 + 1. assign V715026 = V233508 + 1. assign V138290 = V551633. assign V406729 = V551633 - 1. assign V955069 = V423393 + 1. assign V934062 = V418856. assign V472860 = V779914. assign V865597 = V837219. assign V683202 = V231423 + 1. assign V687623 = V643231 + 1. assign V639397 = V233508 + 1. assign V514985 = V454482. assign V168115 = V423393 - 1. assign V924870 = V106841 + 1. assign V467691 = V138290 - 1. assign V465425 = V418856. assign V084624 = V835219 - 1. assign V207435 = V454482. assign V985328 = V207435. assign V423393 = V238536. assign V787441 = V835219 - 1. assign V643231 = V465425. assign V548329 = V106841. assign V346731 = V622691 - 1. assign V606057 = V406729 - 1. assign V303261 = 6. assign V999521 = V640906 - 1. assign V639679 = V924870 - 1. assign V502212 = V238536 - 1. assign V504309 = V418856. assign V992222 = V446224 + 1. assign V866004 = V233508. assign V848779 = V715026 - 1. assign V519970 = V282774. assign V424346 = V233508 + 1. assign V779914 = V231423. assign V213421 = V980969 - 1. assign V636567 = V814512 - 1. assign V988901 = V639397 + 1. assign V388255 = V643231. assign V233508 = V106841 + 1. assign V446224 = V424346 + 1. assign V506059 = V548329 + 1. assign V379926 = V636567 - 1. assign V056826 = V639397 + 1. assign V189655 = V779914 + 1. assign V814512 = V502212.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV303261 = 6;\n\nFrom these direct assignment(s), we have: \nV928888 = V303261 + 1 = 6 + 1 =7;\nNo other variables can be derived from V928888;\nNo other variables can be derived from V303261;\n\nNow we have done all the calculations. Derived variables are:\nV303261 = 6;\nV928888 = 7;\n\nNow we have finished this problem. ANSWER:\nV928888\n", "role": "assistant" } ]

[ "V606242" ]

[ { "content": "<context>\nassign V693863 = V757663. assign V496372 = V621634 + 1. assign V382642 = V334288 - 1. assign V154418 = V485329 - 1. assign V752292 = V000960. assign V482783 = V606242 + 1. assign V682357 = V276861 + 1. assign V151131 = V834847 + 1. assign V427384 = V396479 - 1. assign V606242 = 4. assign V469402 = V792327. assign V294404 = V741250 + 1. assign V000960 = V621634. assign V679862 = V188735 - 1. assign V097916 = V276861. assign V484610 = V088106 + 1. assign V431039 = V621634 + 1. assign V297949 = V682357 + 1. assign V467081 = V162157 + 1. assign V983035 = V162157 + 1. assign V131072 = V431039 - 1. assign V711929 = V088106 - 1. assign V188735 = V757663 - 1. assign V485329 = V645036. assign V559392 = V382692 + 1. assign V489281 = V834847. assign V401529 = V431039. assign V535103 = V088106 + 1. assign V372443 = V317478 - 1. assign V125542 = V983035 - 1. assign V263513 = V088106. assign V645933 = V655037 - 1. assign V224027 = V754244 - 1. assign V027424 = V396479 - 1. assign V627510 = V188735 - 1. assign V267167 = V679862. assign V250738 = V834847 - 1. assign V412304 = V239303 - 1. assign V016683 = V621634 - 1. assign V464825 = V431039 + 1. assign V603780 = V154418. assign V621634 = V317478 - 1. assign V088106 = V276861. assign V196737 = V382692 - 1. assign V079004 = V355040. assign V663960 = V682357 + 1. assign V472604 = V188735 - 1. assign V834847 = V693863 - 1. assign V655037 = V693863. assign V162157 = V317478. assign V942415 = V355040. assign V239303 = V154418 + 1. assign V960964 = V752292 + 1. assign V904695 = V954312 + 1. assign V482488 = V834847. assign V396479 = V153039. assign V549984 = V942415 - 1. assign V792327 = V757663 - 1. assign V334288 = V276861. assign V920684 = V741250 - 1. assign V382692 = V188735. assign V153039 = V276861 - 1. assign V922456 = V162157 - 1. assign V824001 = V079004 + 1. assign V822915 = V294404 - 1. assign V248022 = V276861. assign V913030 = V196737 + 1. assign V954312 = V485329 - 1. assign V907243 = V752292 - 1. assign V773258 = V079004. assign V355040 = V382692. assign V438949 = V382692 - 1. assign V359156 = V276861. assign V767597 = V016683 + 1. assign V754244 = V188735. assign V317478 = V382692. assign V527849 = V711929 - 1. assign V645036 = V382692 - 1. assign V276861 = V188735. assign V100469 = V711929 - 1. assign V594926 = V489281. assign V741250 = V734822 - 1. assign V420829 = V276861 - 1. assign V903621 = V382692. assign V542754 = V188735. assign V734822 = V431039 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V693863 = V757663. assign V496372 = V621634 + 1. assign V382642 = V334288 - 1. assign V154418 = V485329 - 1. assign V752292 = V000960. assign V482783 = V606242 + 1. assign V682357 = V276861 + 1. assign V151131 = V834847 + 1. assign V427384 = V396479 - 1. assign V606242 = 4. assign V469402 = V792327. assign V294404 = V741250 + 1. assign V000960 = V621634. assign V679862 = V188735 - 1. assign V097916 = V276861. assign V484610 = V088106 + 1. assign V431039 = V621634 + 1. assign V297949 = V682357 + 1. assign V467081 = V162157 + 1. assign V983035 = V162157 + 1. assign V131072 = V431039 - 1. assign V711929 = V088106 - 1. assign V188735 = V757663 - 1. assign V485329 = V645036. assign V559392 = V382692 + 1. assign V489281 = V834847. assign V401529 = V431039. assign V535103 = V088106 + 1. assign V372443 = V317478 - 1. assign V125542 = V983035 - 1. assign V263513 = V088106. assign V645933 = V655037 - 1. assign V224027 = V754244 - 1. assign V027424 = V396479 - 1. assign V627510 = V188735 - 1. assign V267167 = V679862. assign V250738 = V834847 - 1. assign V412304 = V239303 - 1. assign V016683 = V621634 - 1. assign V464825 = V431039 + 1. assign V603780 = V154418. assign V621634 = V317478 - 1. assign V088106 = V276861. assign V196737 = V382692 - 1. assign V079004 = V355040. assign V663960 = V682357 + 1. assign V472604 = V188735 - 1. assign V834847 = V693863 - 1. assign V655037 = V693863. assign V162157 = V317478. assign V942415 = V355040. assign V239303 = V154418 + 1. assign V960964 = V752292 + 1. assign V904695 = V954312 + 1. assign V482488 = V834847. assign V396479 = V153039. assign V549984 = V942415 - 1. assign V792327 = V757663 - 1. assign V334288 = V276861. assign V920684 = V741250 - 1. assign V382692 = V188735. assign V153039 = V276861 - 1. assign V922456 = V162157 - 1. assign V824001 = V079004 + 1. assign V822915 = V294404 - 1. assign V248022 = V276861. assign V913030 = V196737 + 1. assign V954312 = V485329 - 1. assign V907243 = V752292 - 1. assign V773258 = V079004. assign V355040 = V382692. assign V438949 = V382692 - 1. assign V359156 = V276861. assign V767597 = V016683 + 1. assign V754244 = V188735. assign V317478 = V382692. assign V527849 = V711929 - 1. assign V645036 = V382692 - 1. assign V276861 = V188735. assign V100469 = V711929 - 1. assign V594926 = V489281. assign V741250 = V734822 - 1. assign V420829 = V276861 - 1. assign V903621 = V382692. assign V542754 = V188735. assign V734822 = V431039 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV606242 = 4;\n\nFrom these direct assignment(s), we have: \nV482783 = V606242 + 1 = 4 + 1 =5;\nNo other variables can be derived from V482783;\nNo other variables can be derived from V606242;\n\nNow we have done all the calculations. Derived variables are:\nV606242 = 4;\nV482783 = 5;\n\nNow we have finished this problem. ANSWER:\nV606242\n", "role": "assistant" } ]

[ "V134544" ]

[ { "content": "<context>\nassign V004233 = V763905. assign V176747 = V672379 + 1. assign V887677 = V489458. assign V949173 = V004233 + 1. assign V479970 = V711870. assign V874551 = V643587. assign V806512 = V537224 + 1. assign V231623 = V763905 + 1. assign V315402 = V047030 - 1. assign V921961 = V489458. assign V486653 = V763905. assign V804468 = V982643. assign V127569 = V188514. assign V763905 = V742745 + 1. assign V333447 = V188514 + 1. assign V514384 = V745155 + 1. assign V600090 = V763905 - 1. assign V134544 = 8. assign V424099 = V763905. assign V745155 = V949173 - 1. assign V909485 = V134544 - 1. assign V769216 = V217516 - 1. assign V220408 = V188514 - 1. assign V683999 = V742745 - 1. assign V643587 = V606358 + 1. assign V672379 = V322859 - 1. assign V643160 = V322859 - 1. assign V921499 = V315402 + 1. assign V388220 = V126878 - 1. assign V549816 = V248703 + 1. assign V033506 = V004233. assign V756434 = V220408. assign V699333 = V319673. assign V863634 = V188514. assign V129777 = V127569 + 1. assign V540516 = V217516 + 1. assign V702676 = V756434 - 1. assign V007214 = V616446 + 1. assign V248703 = V047030 + 1. assign V489458 = V188514 + 1. assign V017983 = V863634 + 1. assign V872843 = V921961 + 1. assign V658076 = V004233. assign V537224 = V507401 - 1. assign V050302 = V616446. assign V969201 = V561030 - 1. assign V259197 = V220408. assign V616446 = V210748 - 1. assign V120980 = V486653 - 1. assign V217516 = V210748. assign V319673 = V014571. assign V606358 = V643160. assign V124801 = V004233 - 1. assign V446278 = V872843 + 1. assign V982643 = V014571 - 1. assign V561030 = V763905. assign V648916 = V549816 + 1. assign V126878 = V658076 + 1. assign V014571 = V127569. assign V047030 = V231623. assign V188514 = V742745 - 1. assign V696690 = V210748 - 1. assign V354342 = V231623 + 1. assign V243275 = V210748 - 1. assign V358588 = V004233. assign V661003 = V921499 - 1. assign V921317 = V872843 + 1. assign V546408 = V487491 - 1. assign V160510 = V127569 + 1. assign V500469 = V322859 + 1. assign V159819 = V773902 + 1. assign V507401 = V210748. assign V021315 = V756434 - 1. assign V277161 = V756434 - 1. assign V322859 = V014571. assign V210748 = V004233 - 1. assign V559414 = V643587. assign V824497 = V424099 - 1. assign V626525 = V921317 + 1. assign V773902 = V047030 - 1. assign V241130 = V014571 - 1. assign V392737 = V231623 - 1. assign V711870 = V248703 - 1. assign V308764 = V220408 + 1. assign V741067 = V549816 + 1. assign V487491 = V014571 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V004233 = V763905. assign V176747 = V672379 + 1. assign V887677 = V489458. assign V949173 = V004233 + 1. assign V479970 = V711870. assign V874551 = V643587. assign V806512 = V537224 + 1. assign V231623 = V763905 + 1. assign V315402 = V047030 - 1. assign V921961 = V489458. assign V486653 = V763905. assign V804468 = V982643. assign V127569 = V188514. assign V763905 = V742745 + 1. assign V333447 = V188514 + 1. assign V514384 = V745155 + 1. assign V600090 = V763905 - 1. assign V134544 = 8. assign V424099 = V763905. assign V745155 = V949173 - 1. assign V909485 = V134544 - 1. assign V769216 = V217516 - 1. assign V220408 = V188514 - 1. assign V683999 = V742745 - 1. assign V643587 = V606358 + 1. assign V672379 = V322859 - 1. assign V643160 = V322859 - 1. assign V921499 = V315402 + 1. assign V388220 = V126878 - 1. assign V549816 = V248703 + 1. assign V033506 = V004233. assign V756434 = V220408. assign V699333 = V319673. assign V863634 = V188514. assign V129777 = V127569 + 1. assign V540516 = V217516 + 1. assign V702676 = V756434 - 1. assign V007214 = V616446 + 1. assign V248703 = V047030 + 1. assign V489458 = V188514 + 1. assign V017983 = V863634 + 1. assign V872843 = V921961 + 1. assign V658076 = V004233. assign V537224 = V507401 - 1. assign V050302 = V616446. assign V969201 = V561030 - 1. assign V259197 = V220408. assign V616446 = V210748 - 1. assign V120980 = V486653 - 1. assign V217516 = V210748. assign V319673 = V014571. assign V606358 = V643160. assign V124801 = V004233 - 1. assign V446278 = V872843 + 1. assign V982643 = V014571 - 1. assign V561030 = V763905. assign V648916 = V549816 + 1. assign V126878 = V658076 + 1. assign V014571 = V127569. assign V047030 = V231623. assign V188514 = V742745 - 1. assign V696690 = V210748 - 1. assign V354342 = V231623 + 1. assign V243275 = V210748 - 1. assign V358588 = V004233. assign V661003 = V921499 - 1. assign V921317 = V872843 + 1. assign V546408 = V487491 - 1. assign V160510 = V127569 + 1. assign V500469 = V322859 + 1. assign V159819 = V773902 + 1. assign V507401 = V210748. assign V021315 = V756434 - 1. assign V277161 = V756434 - 1. assign V322859 = V014571. assign V210748 = V004233 - 1. assign V559414 = V643587. assign V824497 = V424099 - 1. assign V626525 = V921317 + 1. assign V773902 = V047030 - 1. assign V241130 = V014571 - 1. assign V392737 = V231623 - 1. assign V711870 = V248703 - 1. assign V308764 = V220408 + 1. assign V741067 = V549816 + 1. assign V487491 = V014571 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV134544 = 8;\n\nFrom these direct assignment(s), we have: \nV909485 = V134544 - 1 = 8 - 1 =7;\nNo other variables can be derived from V909485;\nNo other variables can be derived from V134544;\n\nNow we have done all the calculations. Derived variables are:\nV134544 = 8;\nV909485 = 7;\n\nNow we have finished this problem. ANSWER:\nV134544\n", "role": "assistant" } ]

[ "V507171" ]

[ { "content": "<context>\nassign V418780 = V665506 + 1. assign V586456 = V205374 - 1. assign V913721 = V083303 - 1. assign V692186 = V639054. assign V238773 = V869802. assign V766043 = V833576 + 1. assign V196311 = V373221 - 1. assign V168116 = V176329 + 1. assign V022243 = V148054 - 1. assign V054891 = V417125 - 1. assign V636607 = V063578 - 1. assign V093276 = V913721. assign V242011 = V196311. assign V418473 = V214406. assign V664741 = V865749. assign V404432 = V546320. assign V453518 = V785622. assign V922214 = V453518 - 1. assign V329924 = V176329 - 1. assign V417125 = V205374. assign V205374 = V093276. assign V054316 = V176329 + 1. assign V189975 = V054316 + 1. assign V083303 = V063578 + 1. assign V063578 = V865749. assign V468797 = V054316 - 1. assign V260797 = V871102. assign V988283 = V022243 - 1. assign V729066 = V092541 + 1. assign V960139 = V468797 - 1. assign V094886 = V196311. assign V455798 = V482592 + 1. assign V251533 = V455798 + 1. assign V785622 = V193403 + 1. assign V193403 = V329924. assign V333152 = V729066 - 1. assign V036397 = V148054. assign V658832 = V214406 - 1. assign V148054 = V189975 + 1. assign V871102 = V635732. assign V865749 = V176329 + 1. assign V191000 = V791626 - 1. assign V613324 = V170835. assign V982971 = V791626 + 1. assign V064585 = V168116 - 1. assign V053741 = V635732 + 1. assign V753012 = V379174. assign V311550 = V393629 - 1. assign V522663 = V520930 + 1. assign V907799 = V865749. assign V092541 = V329924. assign V063662 = V054316 - 1. assign V833576 = V063578 - 1. assign V682342 = V960139. assign V489944 = V009547 - 1. assign V507171 = 10. assign V441986 = V063578. assign V213073 = V507171 - 1. assign V960614 = V214406 - 1. assign V761998 = V658832. assign V086694 = V063578 + 1. assign V791626 = V682342 + 1. assign V885956 = V168116. assign V203836 = V468797 + 1. assign V410525 = V635732. assign V482592 = V176329. assign V520930 = V148054 - 1. assign V639054 = V203836 - 1. assign V243578 = V063578 + 1. assign V114864 = V522663 + 1. assign V869802 = V196311 + 1. assign V379174 = V468797. assign V550135 = V665506 + 1. assign V095282 = V482592. assign V214406 = V578140. assign V379366 = V665506 - 1. assign V170835 = V196311 - 1. assign V546320 = V189975 - 1. assign V009547 = V203836 + 1. assign V373221 = V189975. assign V665506 = V086694 - 1. assign V635732 = V054316. assign V393629 = V092541 - 1. assign V790615 = V550135 + 1. assign V915739 = V578140. assign V578140 = V865749.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V418780 = V665506 + 1. assign V586456 = V205374 - 1. assign V913721 = V083303 - 1. assign V692186 = V639054. assign V238773 = V869802. assign V766043 = V833576 + 1. assign V196311 = V373221 - 1. assign V168116 = V176329 + 1. assign V022243 = V148054 - 1. assign V054891 = V417125 - 1. assign V636607 = V063578 - 1. assign V093276 = V913721. assign V242011 = V196311. assign V418473 = V214406. assign V664741 = V865749. assign V404432 = V546320. assign V453518 = V785622. assign V922214 = V453518 - 1. assign V329924 = V176329 - 1. assign V417125 = V205374. assign V205374 = V093276. assign V054316 = V176329 + 1. assign V189975 = V054316 + 1. assign V083303 = V063578 + 1. assign V063578 = V865749. assign V468797 = V054316 - 1. assign V260797 = V871102. assign V988283 = V022243 - 1. assign V729066 = V092541 + 1. assign V960139 = V468797 - 1. assign V094886 = V196311. assign V455798 = V482592 + 1. assign V251533 = V455798 + 1. assign V785622 = V193403 + 1. assign V193403 = V329924. assign V333152 = V729066 - 1. assign V036397 = V148054. assign V658832 = V214406 - 1. assign V148054 = V189975 + 1. assign V871102 = V635732. assign V865749 = V176329 + 1. assign V191000 = V791626 - 1. assign V613324 = V170835. assign V982971 = V791626 + 1. assign V064585 = V168116 - 1. assign V053741 = V635732 + 1. assign V753012 = V379174. assign V311550 = V393629 - 1. assign V522663 = V520930 + 1. assign V907799 = V865749. assign V092541 = V329924. assign V063662 = V054316 - 1. assign V833576 = V063578 - 1. assign V682342 = V960139. assign V489944 = V009547 - 1. assign V507171 = 10. assign V441986 = V063578. assign V213073 = V507171 - 1. assign V960614 = V214406 - 1. assign V761998 = V658832. assign V086694 = V063578 + 1. assign V791626 = V682342 + 1. assign V885956 = V168116. assign V203836 = V468797 + 1. assign V410525 = V635732. assign V482592 = V176329. assign V520930 = V148054 - 1. assign V639054 = V203836 - 1. assign V243578 = V063578 + 1. assign V114864 = V522663 + 1. assign V869802 = V196311 + 1. assign V379174 = V468797. assign V550135 = V665506 + 1. assign V095282 = V482592. assign V214406 = V578140. assign V379366 = V665506 - 1. assign V170835 = V196311 - 1. assign V546320 = V189975 - 1. assign V009547 = V203836 + 1. assign V373221 = V189975. assign V665506 = V086694 - 1. assign V635732 = V054316. assign V393629 = V092541 - 1. assign V790615 = V550135 + 1. assign V915739 = V578140. assign V578140 = V865749.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV507171 = 10;\n\nFrom these direct assignment(s), we have: \nV213073 = V507171 - 1 = 10 - 1 =9;\nNo other variables can be derived from V213073;\nNo other variables can be derived from V507171;\n\nNow we have done all the calculations. Derived variables are:\nV507171 = 10;\nV213073 = 9;\n\nNow we have finished this problem. ANSWER:\nV507171\n", "role": "assistant" } ]

[ "V637858" ]

[ { "content": "<context>\nassign V826053 = V671873 - 1. assign V162435 = V594543 - 1. assign V474577 = V277576 + 1. assign V807028 = V576590. assign V529256 = V305837 + 1. assign V456151 = V423220 + 1. assign V328517 = V790520. assign V584498 = V231033 - 1. assign V902954 = V977131 - 1. assign V452206 = V594543. assign V594543 = V231033 - 1. assign V970459 = V671873. assign V201103 = V583602 + 1. assign V726474 = V201103 + 1. assign V135396 = V474577 - 1. assign V176504 = V423220 - 1. assign V880265 = V024413 - 1. assign V390288 = V583602 - 1. assign V709122 = V356001. assign V764609 = V204086. assign V739400 = V644553. assign V317667 = V826053 - 1. assign V518948 = V154173 + 1. assign V207631 = V176504 - 1. assign V991832 = V134171. assign V029262 = V317667 - 1. assign V059188 = V317667 - 1. assign V560367 = V977131 - 1. assign V120016 = V423220 - 1. assign V566005 = V531434 + 1. assign V216623 = V176504. assign V977131 = V201103. assign V291359 = V970459 - 1. assign V134171 = V584498 + 1. assign V088755 = V644553 - 1. assign V644553 = V201103. assign V454135 = V977131. assign V231033 = V456151 + 1. assign V536409 = V726474. assign V024413 = V456151. assign V471824 = V529256. assign V564318 = V024413 - 1. assign V238746 = V709122 + 1. assign V682059 = V239329 - 1. assign V210181 = V423220 + 1. assign V882624 = V452206 - 1. assign V154173 = V529256 + 1. assign V835324 = V220278 - 1. assign V666996 = V671873 - 1. assign V110125 = V576590. assign V183374 = V594543. assign V363123 = V666996 - 1. assign V305837 = V201103 + 1. assign V671873 = V456151 - 1. assign V531434 = V220278 + 1. assign V533388 = V531434 + 1. assign V790520 = V456151 - 1. assign V770539 = V533388. assign V582668 = V666996 + 1. assign V926356 = V882624 + 1. assign V576590 = V531434 - 1. assign V177724 = V666996 + 1. assign V934987 = V804162. assign V112591 = V059188 + 1. assign V277576 = V231033. assign V988595 = V231033. assign V074729 = V305837. assign V725988 = V216623. assign V892608 = V970459 + 1. assign V201918 = V583602 - 1. assign V648435 = V826053 - 1. assign V239329 = V671873 - 1. assign V174179 = V162435 + 1. assign V622438 = 7. assign V804162 = V583602 + 1. assign V426921 = V239329. assign V455574 = V112591. assign V342911 = V317667 + 1. assign V164423 = V531434 - 1. assign V199846 = V204086 - 1. assign V637858 = V622438 - 1. assign V356001 = V892608. assign V220278 = V666996 - 1. assign V368372 = V584498 + 1. assign V583602 = V423220 - 1. assign V204086 = V201103.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V826053 = V671873 - 1. assign V162435 = V594543 - 1. assign V474577 = V277576 + 1. assign V807028 = V576590. assign V529256 = V305837 + 1. assign V456151 = V423220 + 1. assign V328517 = V790520. assign V584498 = V231033 - 1. assign V902954 = V977131 - 1. assign V452206 = V594543. assign V594543 = V231033 - 1. assign V970459 = V671873. assign V201103 = V583602 + 1. assign V726474 = V201103 + 1. assign V135396 = V474577 - 1. assign V176504 = V423220 - 1. assign V880265 = V024413 - 1. assign V390288 = V583602 - 1. assign V709122 = V356001. assign V764609 = V204086. assign V739400 = V644553. assign V317667 = V826053 - 1. assign V518948 = V154173 + 1. assign V207631 = V176504 - 1. assign V991832 = V134171. assign V029262 = V317667 - 1. assign V059188 = V317667 - 1. assign V560367 = V977131 - 1. assign V120016 = V423220 - 1. assign V566005 = V531434 + 1. assign V216623 = V176504. assign V977131 = V201103. assign V291359 = V970459 - 1. assign V134171 = V584498 + 1. assign V088755 = V644553 - 1. assign V644553 = V201103. assign V454135 = V977131. assign V231033 = V456151 + 1. assign V536409 = V726474. assign V024413 = V456151. assign V471824 = V529256. assign V564318 = V024413 - 1. assign V238746 = V709122 + 1. assign V682059 = V239329 - 1. assign V210181 = V423220 + 1. assign V882624 = V452206 - 1. assign V154173 = V529256 + 1. assign V835324 = V220278 - 1. assign V666996 = V671873 - 1. assign V110125 = V576590. assign V183374 = V594543. assign V363123 = V666996 - 1. assign V305837 = V201103 + 1. assign V671873 = V456151 - 1. assign V531434 = V220278 + 1. assign V533388 = V531434 + 1. assign V790520 = V456151 - 1. assign V770539 = V533388. assign V582668 = V666996 + 1. assign V926356 = V882624 + 1. assign V576590 = V531434 - 1. assign V177724 = V666996 + 1. assign V934987 = V804162. assign V112591 = V059188 + 1. assign V277576 = V231033. assign V988595 = V231033. assign V074729 = V305837. assign V725988 = V216623. assign V892608 = V970459 + 1. assign V201918 = V583602 - 1. assign V648435 = V826053 - 1. assign V239329 = V671873 - 1. assign V174179 = V162435 + 1. assign V622438 = 7. assign V804162 = V583602 + 1. assign V426921 = V239329. assign V455574 = V112591. assign V342911 = V317667 + 1. assign V164423 = V531434 - 1. assign V199846 = V204086 - 1. assign V637858 = V622438 - 1. assign V356001 = V892608. assign V220278 = V666996 - 1. assign V368372 = V584498 + 1. assign V583602 = V423220 - 1. assign V204086 = V201103.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV622438 = 7;\n\nFrom these direct assignment(s), we have: \nV637858 = V622438 - 1 = 7 - 1 =6;\nNo other variables can be derived from V637858;\nNo other variables can be derived from V622438;\n\nNow we have done all the calculations. Derived variables are:\nV622438 = 7;\nV637858 = 6;\n\nNow we have finished this problem. ANSWER:\nV637858\n", "role": "assistant" } ]

[ "V856303", "V182083" ]

[ { "content": "<context>\nassign V807726 = V197675. assign V000463 = V825483 - 1. assign V609352 = V629209 - 1. assign V408214 = V267998 + 1. assign V644149 = V197675 + 1. assign V333075 = V585069 - 1. assign V508642 = V447164 + 1. assign V435484 = V015316 - 1. assign V785531 = V629209 + 1. assign V015316 = V206834 - 1. assign V095198 = V210362. assign V829487 = V825483 + 1. assign V391311 = V015316 - 1. assign V584562 = V367776 - 1. assign V914350 = V740054 + 1. assign V593968 = V776559. assign V447164 = V785531. assign V354992 = V022692 + 1. assign V308045 = V825483 + 1. assign V757932 = V394856 + 1. assign V818353 = V507952. assign V193149 = V613956. assign V218032 = V629209 + 1. assign V149546 = V391311 + 1. assign V653876 = V641717. assign V662543 = V566307. assign V825483 = V711572 - 1. assign V848270 = V613956 - 1. assign V552682 = V097013. assign V740054 = V785531. assign V129157 = V613956 - 1. assign V883529 = V678400. assign V806910 = V218032 - 1. assign V585069 = V206834. assign V629262 = V267998 - 1. assign V560333 = V210362 - 1. assign V867316 = V435484 + 1. assign V449231 = V825483. assign V909458 = V391311 + 1. assign V022692 = V015316. assign V629209 = V613956. assign V101804 = V308045 + 1. assign V763278 = V585069 + 1. assign V959048 = V408214 + 1. assign V533226 = V867316 - 1. assign V490388 = V678400. assign V507952 = V210362 + 1. assign V394856 = V821330 + 1. assign V641717 = V848270 + 1. assign V020536 = V909458 - 1. assign V821330 = V629209. assign V678400 = V354992. assign V274131 = V020536. assign V905009 = V331611. assign V206834 = V613956 - 1. assign V566307 = V807726. assign V465098 = V022692. assign V059246 = V197675 + 1. assign V458129 = V552682. assign V476280 = V367776 + 1. assign V016063 = V785531 - 1. assign V240568 = V400901 - 1. assign V267998 = V613956 - 1. assign V711572 = V022692. assign V367776 = V785531 - 1. assign V779171 = V890617. assign V776559 = V678400. assign V182051 = V507952 + 1. assign V210362 = V218032 + 1. assign V856303 = 7. assign V890617 = V585069 - 1. assign V197675 = V015316 - 1. assign V400901 = V129157. assign V722898 = V815162 + 1. assign V346473 = V825483. assign V182083 = V856303. assign V044100 = V867316 - 1. assign V682177 = V641717 + 1. assign V331611 = V818353. assign V318596 = V609352. assign V815162 = V435484 + 1. assign V097013 = V613956 - 1. assign V332793 = V182051. assign V694444 = V609352 + 1. assign V817114 = V609352 - 1. assign V854564 = V206834 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V807726 = V197675. assign V000463 = V825483 - 1. assign V609352 = V629209 - 1. assign V408214 = V267998 + 1. assign V644149 = V197675 + 1. assign V333075 = V585069 - 1. assign V508642 = V447164 + 1. assign V435484 = V015316 - 1. assign V785531 = V629209 + 1. assign V015316 = V206834 - 1. assign V095198 = V210362. assign V829487 = V825483 + 1. assign V391311 = V015316 - 1. assign V584562 = V367776 - 1. assign V914350 = V740054 + 1. assign V593968 = V776559. assign V447164 = V785531. assign V354992 = V022692 + 1. assign V308045 = V825483 + 1. assign V757932 = V394856 + 1. assign V818353 = V507952. assign V193149 = V613956. assign V218032 = V629209 + 1. assign V149546 = V391311 + 1. assign V653876 = V641717. assign V662543 = V566307. assign V825483 = V711572 - 1. assign V848270 = V613956 - 1. assign V552682 = V097013. assign V740054 = V785531. assign V129157 = V613956 - 1. assign V883529 = V678400. assign V806910 = V218032 - 1. assign V585069 = V206834. assign V629262 = V267998 - 1. assign V560333 = V210362 - 1. assign V867316 = V435484 + 1. assign V449231 = V825483. assign V909458 = V391311 + 1. assign V022692 = V015316. assign V629209 = V613956. assign V101804 = V308045 + 1. assign V763278 = V585069 + 1. assign V959048 = V408214 + 1. assign V533226 = V867316 - 1. assign V490388 = V678400. assign V507952 = V210362 + 1. assign V394856 = V821330 + 1. assign V641717 = V848270 + 1. assign V020536 = V909458 - 1. assign V821330 = V629209. assign V678400 = V354992. assign V274131 = V020536. assign V905009 = V331611. assign V206834 = V613956 - 1. assign V566307 = V807726. assign V465098 = V022692. assign V059246 = V197675 + 1. assign V458129 = V552682. assign V476280 = V367776 + 1. assign V016063 = V785531 - 1. assign V240568 = V400901 - 1. assign V267998 = V613956 - 1. assign V711572 = V022692. assign V367776 = V785531 - 1. assign V779171 = V890617. assign V776559 = V678400. assign V182051 = V507952 + 1. assign V210362 = V218032 + 1. assign V856303 = 7. assign V890617 = V585069 - 1. assign V197675 = V015316 - 1. assign V400901 = V129157. assign V722898 = V815162 + 1. assign V346473 = V825483. assign V182083 = V856303. assign V044100 = V867316 - 1. assign V682177 = V641717 + 1. assign V331611 = V818353. assign V318596 = V609352. assign V815162 = V435484 + 1. assign V097013 = V613956 - 1. assign V332793 = V182051. assign V694444 = V609352 + 1. assign V817114 = V609352 - 1. assign V854564 = V206834 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV856303 = 7;\n\nFrom these direct assignment(s), we have: \nV182083 = V856303 = 7;\nNo other variables can be derived from V182083;\nNo other variables can be derived from V856303;\n\nNow we have done all the calculations. Derived variables are:\nV856303 = 7;\nV182083 = 7;\n\nNow we have finished this problem. ANSWER:\nV856303, V182083\n", "role": "assistant" } ]

[ "V113157", "V583759" ]

[ { "content": "<context>\nassign V232594 = V567173. assign V805518 = V331953 - 1. assign V137328 = V602126 + 1. assign V675921 = V552288 + 1. assign V859610 = V536967 - 1. assign V786026 = V232594 - 1. assign V958368 = V715007 + 1. assign V868408 = V407319. assign V064968 = V407319 + 1. assign V514482 = V920541 + 1. assign V598602 = V801945 + 1. assign V541011 = V636517. assign V179782 = V857455 + 1. assign V801945 = V567173 + 1. assign V873505 = V006395 - 1. assign V093348 = V400621 - 1. assign V602984 = V899544 + 1. assign V567455 = V064968. assign V536967 = V805518 + 1. assign V407319 = V602126 + 1. assign V301447 = V756421. assign V700869 = V130830. assign V351353 = V642331 + 1. assign V583759 = V113157. assign V817096 = V606924 + 1. assign V970509 = V524844 + 1. assign V882673 = V514482 - 1. assign V097417 = V407319 - 1. assign V182324 = V920541 + 1. assign V591170 = V494338 + 1. assign V947292 = V701543. assign V642331 = V700869 + 1. assign V931634 = V494338 + 1. assign V913761 = V130830. assign V456632 = V541011 - 1. assign V786845 = V756421 - 1. assign V238838 = V541011 - 1. assign V006395 = V406771 - 1. assign V468750 = V786026 - 1. assign V536986 = V182324. assign V023504 = V591170. assign V524844 = V514482. assign V959290 = V541011 + 1. assign V249550 = V958368 + 1. assign V857455 = V920541 - 1. assign V445255 = V868408 + 1. assign V756421 = V514482 + 1. assign V003846 = V959290 - 1. assign V117583 = V857455. assign V645246 = V733383 + 1. assign V406771 = V645246 + 1. assign V271611 = V786026 + 1. assign V681531 = V524844. assign V567173 = V456632. assign V636517 = V331953 - 1. assign V595228 = V920541. assign V331953 = V715007. assign V899544 = V602126. assign V450781 = V023504 + 1. assign V733383 = V591170 - 1. assign V198900 = V182324 - 1. assign V629006 = V023504 - 1. assign V542733 = V715007 - 1. assign V792531 = V899544. assign V928202 = V407319 + 1. assign V393599 = V137328. assign V070928 = V868408 + 1. assign V850462 = V567173 - 1. assign V606924 = V331953. assign V949356 = V468349. assign V773302 = V882673. assign V456964 = V331953 + 1. assign V920541 = V602126. assign V910788 = V524844. assign V552288 = V899544 - 1. assign V662606 = V913761. assign V438275 = V958368. assign V468349 = V567455. assign V494338 = V920541 - 1. assign V750208 = V920541. assign V715007 = V602126 - 1. assign V130830 = V868408 - 1. assign V701543 = V514482 + 1. assign V958403 = V715007 + 1. assign V113157 = 1. assign V400621 = V494338 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V232594 = V567173. assign V805518 = V331953 - 1. assign V137328 = V602126 + 1. assign V675921 = V552288 + 1. assign V859610 = V536967 - 1. assign V786026 = V232594 - 1. assign V958368 = V715007 + 1. assign V868408 = V407319. assign V064968 = V407319 + 1. assign V514482 = V920541 + 1. assign V598602 = V801945 + 1. assign V541011 = V636517. assign V179782 = V857455 + 1. assign V801945 = V567173 + 1. assign V873505 = V006395 - 1. assign V093348 = V400621 - 1. assign V602984 = V899544 + 1. assign V567455 = V064968. assign V536967 = V805518 + 1. assign V407319 = V602126 + 1. assign V301447 = V756421. assign V700869 = V130830. assign V351353 = V642331 + 1. assign V583759 = V113157. assign V817096 = V606924 + 1. assign V970509 = V524844 + 1. assign V882673 = V514482 - 1. assign V097417 = V407319 - 1. assign V182324 = V920541 + 1. assign V591170 = V494338 + 1. assign V947292 = V701543. assign V642331 = V700869 + 1. assign V931634 = V494338 + 1. assign V913761 = V130830. assign V456632 = V541011 - 1. assign V786845 = V756421 - 1. assign V238838 = V541011 - 1. assign V006395 = V406771 - 1. assign V468750 = V786026 - 1. assign V536986 = V182324. assign V023504 = V591170. assign V524844 = V514482. assign V959290 = V541011 + 1. assign V249550 = V958368 + 1. assign V857455 = V920541 - 1. assign V445255 = V868408 + 1. assign V756421 = V514482 + 1. assign V003846 = V959290 - 1. assign V117583 = V857455. assign V645246 = V733383 + 1. assign V406771 = V645246 + 1. assign V271611 = V786026 + 1. assign V681531 = V524844. assign V567173 = V456632. assign V636517 = V331953 - 1. assign V595228 = V920541. assign V331953 = V715007. assign V899544 = V602126. assign V450781 = V023504 + 1. assign V733383 = V591170 - 1. assign V198900 = V182324 - 1. assign V629006 = V023504 - 1. assign V542733 = V715007 - 1. assign V792531 = V899544. assign V928202 = V407319 + 1. assign V393599 = V137328. assign V070928 = V868408 + 1. assign V850462 = V567173 - 1. assign V606924 = V331953. assign V949356 = V468349. assign V773302 = V882673. assign V456964 = V331953 + 1. assign V920541 = V602126. assign V910788 = V524844. assign V552288 = V899544 - 1. assign V662606 = V913761. assign V438275 = V958368. assign V468349 = V567455. assign V494338 = V920541 - 1. assign V750208 = V920541. assign V715007 = V602126 - 1. assign V130830 = V868408 - 1. assign V701543 = V514482 + 1. assign V958403 = V715007 + 1. assign V113157 = 1. assign V400621 = V494338 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV113157 = 1;\n\nFrom these direct assignment(s), we have: \nV583759 = V113157 = 1;\nNo other variables can be derived from V583759;\nNo other variables can be derived from V113157;\n\nNow we have done all the calculations. Derived variables are:\nV113157 = 1;\nV583759 = 1;\n\nNow we have finished this problem. ANSWER:\nV113157, V583759\n", "role": "assistant" } ]

[ "V126750" ]

[ { "content": "<context>\nassign V803595 = V688824. assign V770882 = V661118 + 1. assign V449612 = V280377 + 1. assign V296737 = V289065 + 1. assign V869428 = V401711. assign V611684 = V180390 + 1. assign V329666 = V988938. assign V816147 = V770882. assign V990521 = V773353. assign V056502 = V952080. assign V607639 = V844666 + 1. assign V933296 = V180390 + 1. assign V671648 = V859813 + 1. assign V464820 = V661118. assign V567853 = V419360 + 1. assign V988938 = V559191 + 1. assign V688824 = V803839 - 1. assign V125617 = V802039. assign V240439 = 1. assign V853558 = V516548 + 1. assign V364299 = V448024. assign V180390 = V318347. assign V280377 = V329666 - 1. assign V907330 = V289065. assign V289065 = V607813 - 1. assign V443590 = V802039 + 1. assign V661118 = V607813 - 1. assign V921417 = V251055 + 1. assign V616058 = V773353 + 1. assign V844666 = V289065 + 1. assign V394940 = V634329. assign V799960 = V869428 - 1. assign V068764 = V803839 + 1. assign V495417 = V464202 - 1. assign V842958 = V444728. assign V180706 = V930524 - 1. assign V803839 = V289065. assign V331542 = V056696 + 1. assign V678110 = V571905. assign V908639 = V930524. assign V402974 = V907330. assign V802039 = V289065 - 1. assign V111080 = V661118. assign V056696 = V930524 - 1. assign V568540 = V559191 + 1. assign V952080 = V464820. assign V022169 = V402974 + 1. assign V086238 = V068764 + 1. assign V108430 = V803839. assign V930524 = V661118. assign V222202 = V111080 - 1. assign V313888 = V464202 - 1. assign V444728 = V559191. assign V725867 = V068764 + 1. assign V049524 = V108430 + 1. assign V464202 = V770882 - 1. assign V497228 = V894595 + 1. assign V401711 = V816147 + 1. assign V859813 = V607813. assign V057533 = V616058 + 1. assign V286608 = V930524 - 1. assign V245618 = V816147. assign V559191 = V607813. assign V936155 = V634329. assign V057751 = V930524. assign V634329 = V289065 + 1. assign V170926 = V844666 - 1. assign V773353 = V402974. assign V619764 = V828937. assign V251055 = V773353. assign V605507 = V318347 + 1. assign V571905 = V770882. assign V088861 = V049524 - 1. assign V047988 = V056696 + 1. assign V318347 = V930524. assign V672005 = V678110 - 1. assign V544404 = V516548 + 1. assign V828937 = V859813. assign V419360 = V908639 - 1. assign V194320 = V634329 + 1. assign V126750 = V240439 - 1. assign V894595 = V952080 + 1. assign V516548 = V111080 - 1. assign V745513 = V907330 + 1. assign V448024 = V125617 + 1. assign V131934 = V516548 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V803595 = V688824. assign V770882 = V661118 + 1. assign V449612 = V280377 + 1. assign V296737 = V289065 + 1. assign V869428 = V401711. assign V611684 = V180390 + 1. assign V329666 = V988938. assign V816147 = V770882. assign V990521 = V773353. assign V056502 = V952080. assign V607639 = V844666 + 1. assign V933296 = V180390 + 1. assign V671648 = V859813 + 1. assign V464820 = V661118. assign V567853 = V419360 + 1. assign V988938 = V559191 + 1. assign V688824 = V803839 - 1. assign V125617 = V802039. assign V240439 = 1. assign V853558 = V516548 + 1. assign V364299 = V448024. assign V180390 = V318347. assign V280377 = V329666 - 1. assign V907330 = V289065. assign V289065 = V607813 - 1. assign V443590 = V802039 + 1. assign V661118 = V607813 - 1. assign V921417 = V251055 + 1. assign V616058 = V773353 + 1. assign V844666 = V289065 + 1. assign V394940 = V634329. assign V799960 = V869428 - 1. assign V068764 = V803839 + 1. assign V495417 = V464202 - 1. assign V842958 = V444728. assign V180706 = V930524 - 1. assign V803839 = V289065. assign V331542 = V056696 + 1. assign V678110 = V571905. assign V908639 = V930524. assign V402974 = V907330. assign V802039 = V289065 - 1. assign V111080 = V661118. assign V056696 = V930524 - 1. assign V568540 = V559191 + 1. assign V952080 = V464820. assign V022169 = V402974 + 1. assign V086238 = V068764 + 1. assign V108430 = V803839. assign V930524 = V661118. assign V222202 = V111080 - 1. assign V313888 = V464202 - 1. assign V444728 = V559191. assign V725867 = V068764 + 1. assign V049524 = V108430 + 1. assign V464202 = V770882 - 1. assign V497228 = V894595 + 1. assign V401711 = V816147 + 1. assign V859813 = V607813. assign V057533 = V616058 + 1. assign V286608 = V930524 - 1. assign V245618 = V816147. assign V559191 = V607813. assign V936155 = V634329. assign V057751 = V930524. assign V634329 = V289065 + 1. assign V170926 = V844666 - 1. assign V773353 = V402974. assign V619764 = V828937. assign V251055 = V773353. assign V605507 = V318347 + 1. assign V571905 = V770882. assign V088861 = V049524 - 1. assign V047988 = V056696 + 1. assign V318347 = V930524. assign V672005 = V678110 - 1. assign V544404 = V516548 + 1. assign V828937 = V859813. assign V419360 = V908639 - 1. assign V194320 = V634329 + 1. assign V126750 = V240439 - 1. assign V894595 = V952080 + 1. assign V516548 = V111080 - 1. assign V745513 = V907330 + 1. assign V448024 = V125617 + 1. assign V131934 = V516548 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV240439 = 1;\n\nFrom these direct assignment(s), we have: \nV126750 = V240439 - 1 = 1 - 1 =0;\nNo other variables can be derived from V126750;\nNo other variables can be derived from V240439;\n\nNow we have done all the calculations. Derived variables are:\nV240439 = 1;\nV126750 = 0;\n\nNow we have finished this problem. ANSWER:\nV126750\n", "role": "assistant" } ]

[ "V495402" ]

[ { "content": "<context>\nassign V998611 = V714698 + 1. assign V217013 = V884862 + 1. assign V294076 = V958892. assign V623508 = V545253. assign V641118 = V468240. assign V284075 = V753975 - 1. assign V135402 = V039235 - 1. assign V240390 = V853558. assign V011889 = V998611 + 1. assign V164153 = V753975. assign V418207 = V574954. assign V854264 = V102435 + 1. assign V747790 = V577458 - 1. assign V340059 = V303513 - 1. assign V758383 = V303513 + 1. assign V590049 = V803522 + 1. assign V212746 = V041551. assign V737506 = V353758 + 1. assign V529021 = V396291. assign V387678 = V011889. assign V464492 = V853558 + 1. assign V958892 = V112964 + 1. assign V480390 = V854264. assign V127639 = V067875 + 1. assign V853558 = V714698 - 1. assign V916865 = V468240 - 1. assign V075718 = V396291 - 1. assign V030396 = V933136 + 1. assign V495402 = 10. assign V933136 = V197499 - 1. assign V098971 = V545253. assign V899858 = V844450. assign V934204 = V157060 - 1. assign V616329 = V127639. assign V813552 = V164153 + 1. assign V112964 = V002134 + 1. assign V102435 = V396291. assign V844450 = V998611. assign V824974 = V495402 - 1. assign V402150 = V662756 - 1. assign V753200 = V545253 - 1. assign V292443 = V039235 - 1. assign V574954 = V933136 - 1. assign V908376 = V075718 - 1. assign V479292 = V998611 - 1. assign V465180 = V067875 + 1. assign V502804 = V628659. assign V662756 = V353758. assign V303513 = V396291. assign V399029 = V002134 + 1. assign V638040 = V479292 + 1. assign V192994 = V039235 + 1. assign V628659 = V399029 - 1. assign V590598 = V715932 + 1. assign V197499 = V396291 + 1. assign V661470 = V112964 - 1. assign V376619 = V716205. assign V725547 = V753200 - 1. assign V715932 = V758383 - 1. assign V876198 = V545253 - 1. assign V478400 = V240390 + 1. assign V067875 = V998611 - 1. assign V353758 = V396291. assign V012420 = V908376 + 1. assign V803522 = V479292. assign V444727 = V916865 + 1. assign V753975 = V849206 - 1. assign V849206 = V577458 + 1. assign V468240 = V758383 - 1. assign V041551 = V102435. assign V263220 = V478400. assign V039235 = V465180. assign V672517 = V303513 + 1. assign V361618 = V876198 - 1. assign V545253 = V396291 + 1. assign V693012 = V197499. assign V577458 = V002134 - 1. assign V324074 = V284075. assign V377549 = V399029 - 1. assign V884862 = V349482 + 1. assign V002134 = V714698 - 1. assign V157060 = V628659 + 1. assign V217374 = V849206 - 1. assign V716205 = V998611. assign V714698 = V396291. assign V349482 = V714698 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V998611 = V714698 + 1. assign V217013 = V884862 + 1. assign V294076 = V958892. assign V623508 = V545253. assign V641118 = V468240. assign V284075 = V753975 - 1. assign V135402 = V039235 - 1. assign V240390 = V853558. assign V011889 = V998611 + 1. assign V164153 = V753975. assign V418207 = V574954. assign V854264 = V102435 + 1. assign V747790 = V577458 - 1. assign V340059 = V303513 - 1. assign V758383 = V303513 + 1. assign V590049 = V803522 + 1. assign V212746 = V041551. assign V737506 = V353758 + 1. assign V529021 = V396291. assign V387678 = V011889. assign V464492 = V853558 + 1. assign V958892 = V112964 + 1. assign V480390 = V854264. assign V127639 = V067875 + 1. assign V853558 = V714698 - 1. assign V916865 = V468240 - 1. assign V075718 = V396291 - 1. assign V030396 = V933136 + 1. assign V495402 = 10. assign V933136 = V197499 - 1. assign V098971 = V545253. assign V899858 = V844450. assign V934204 = V157060 - 1. assign V616329 = V127639. assign V813552 = V164153 + 1. assign V112964 = V002134 + 1. assign V102435 = V396291. assign V844450 = V998611. assign V824974 = V495402 - 1. assign V402150 = V662756 - 1. assign V753200 = V545253 - 1. assign V292443 = V039235 - 1. assign V574954 = V933136 - 1. assign V908376 = V075718 - 1. assign V479292 = V998611 - 1. assign V465180 = V067875 + 1. assign V502804 = V628659. assign V662756 = V353758. assign V303513 = V396291. assign V399029 = V002134 + 1. assign V638040 = V479292 + 1. assign V192994 = V039235 + 1. assign V628659 = V399029 - 1. assign V590598 = V715932 + 1. assign V197499 = V396291 + 1. assign V661470 = V112964 - 1. assign V376619 = V716205. assign V725547 = V753200 - 1. assign V715932 = V758383 - 1. assign V876198 = V545253 - 1. assign V478400 = V240390 + 1. assign V067875 = V998611 - 1. assign V353758 = V396291. assign V012420 = V908376 + 1. assign V803522 = V479292. assign V444727 = V916865 + 1. assign V753975 = V849206 - 1. assign V849206 = V577458 + 1. assign V468240 = V758383 - 1. assign V041551 = V102435. assign V263220 = V478400. assign V039235 = V465180. assign V672517 = V303513 + 1. assign V361618 = V876198 - 1. assign V545253 = V396291 + 1. assign V693012 = V197499. assign V577458 = V002134 - 1. assign V324074 = V284075. assign V377549 = V399029 - 1. assign V884862 = V349482 + 1. assign V002134 = V714698 - 1. assign V157060 = V628659 + 1. assign V217374 = V849206 - 1. assign V716205 = V998611. assign V714698 = V396291. assign V349482 = V714698 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV495402 = 10;\n\nFrom these direct assignment(s), we have: \nV824974 = V495402 - 1 = 10 - 1 =9;\nNo other variables can be derived from V824974;\nNo other variables can be derived from V495402;\n\nNow we have done all the calculations. Derived variables are:\nV495402 = 10;\nV824974 = 9;\n\nNow we have finished this problem. ANSWER:\nV495402\n", "role": "assistant" } ]

[ "V609331", "V494130" ]

[ { "content": "<context>\nassign V130677 = V224214. assign V200251 = V855919 - 1. assign V898739 = V151065 + 1. assign V827963 = V272819 - 1. assign V224214 = V151065. assign V157199 = V586980 + 1. assign V889986 = V399212 - 1. assign V852185 = V114566 + 1. assign V938580 = V224214. assign V250857 = V920097 - 1. assign V177889 = V172294 - 1. assign V411007 = V998931. assign V178015 = V447171. assign V912930 = V827963. assign V356698 = V177889 + 1. assign V158236 = V852185. assign V399212 = V291149 + 1. assign V291149 = V114566. assign V494130 = V609331. assign V210898 = V480988 + 1. assign V604871 = V855919. assign V449927 = V889986 - 1. assign V855919 = V210898. assign V632887 = V892826 - 1. assign V552012 = V210898 + 1. assign V528848 = V852185 - 1. assign V743897 = V411007 + 1. assign V586980 = V920097 - 1. assign V928186 = V658434. assign V988157 = V151065. assign V992905 = V200251 + 1. assign V480988 = V920097. assign V628030 = V875387 + 1. assign V639641 = V114566 + 1. assign V683316 = V114566. assign V561546 = V208558 - 1. assign V998522 = V178015 - 1. assign V187219 = V250857 - 1. assign V429348 = V151065 + 1. assign V074199 = V447171 - 1. assign V948040 = V307410. assign V621233 = V628030. assign V544868 = V988157. assign V892826 = V114566 + 1. assign V286399 = V658434. assign V014671 = V683316. assign V197522 = V875387. assign V342716 = V220063 - 1. assign V172294 = V480988 - 1. assign V623102 = V480988. assign V240637 = V151065. assign V447171 = V875387 - 1. assign V154475 = V172476. assign V028749 = V943242. assign V650896 = V429348. assign V220063 = V240637 - 1. assign V208558 = V210898 - 1. assign V027492 = V096383 - 1. assign V664983 = V250857. assign V334891 = V172476 + 1. assign V096383 = V307410 - 1. assign V307410 = V447171. assign V853024 = V561546 - 1. assign V101158 = V581083 + 1. assign V609331 = 8. assign V477037 = V272819 + 1. assign V947777 = V920097. assign V172476 = V552012. assign V796545 = V411007 - 1. assign V488209 = V892826 + 1. assign V114566 = V920097 + 1. assign V151065 = V291149 + 1. assign V121577 = V114566. assign V943242 = V291149 - 1. assign V463411 = V157199 - 1. assign V998931 = V480988 - 1. assign V772199 = V356698 - 1. assign V260487 = V586980. assign V875387 = V210898. assign V272819 = V488209 + 1. assign V584741 = V157199 + 1. assign V233967 = V586980 + 1. assign V884772 = V632887 - 1. assign V594539 = V998931 - 1. assign V658434 = V998931 + 1. assign V581083 = V998931.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V130677 = V224214. assign V200251 = V855919 - 1. assign V898739 = V151065 + 1. assign V827963 = V272819 - 1. assign V224214 = V151065. assign V157199 = V586980 + 1. assign V889986 = V399212 - 1. assign V852185 = V114566 + 1. assign V938580 = V224214. assign V250857 = V920097 - 1. assign V177889 = V172294 - 1. assign V411007 = V998931. assign V178015 = V447171. assign V912930 = V827963. assign V356698 = V177889 + 1. assign V158236 = V852185. assign V399212 = V291149 + 1. assign V291149 = V114566. assign V494130 = V609331. assign V210898 = V480988 + 1. assign V604871 = V855919. assign V449927 = V889986 - 1. assign V855919 = V210898. assign V632887 = V892826 - 1. assign V552012 = V210898 + 1. assign V528848 = V852185 - 1. assign V743897 = V411007 + 1. assign V586980 = V920097 - 1. assign V928186 = V658434. assign V988157 = V151065. assign V992905 = V200251 + 1. assign V480988 = V920097. assign V628030 = V875387 + 1. assign V639641 = V114566 + 1. assign V683316 = V114566. assign V561546 = V208558 - 1. assign V998522 = V178015 - 1. assign V187219 = V250857 - 1. assign V429348 = V151065 + 1. assign V074199 = V447171 - 1. assign V948040 = V307410. assign V621233 = V628030. assign V544868 = V988157. assign V892826 = V114566 + 1. assign V286399 = V658434. assign V014671 = V683316. assign V197522 = V875387. assign V342716 = V220063 - 1. assign V172294 = V480988 - 1. assign V623102 = V480988. assign V240637 = V151065. assign V447171 = V875387 - 1. assign V154475 = V172476. assign V028749 = V943242. assign V650896 = V429348. assign V220063 = V240637 - 1. assign V208558 = V210898 - 1. assign V027492 = V096383 - 1. assign V664983 = V250857. assign V334891 = V172476 + 1. assign V096383 = V307410 - 1. assign V307410 = V447171. assign V853024 = V561546 - 1. assign V101158 = V581083 + 1. assign V609331 = 8. assign V477037 = V272819 + 1. assign V947777 = V920097. assign V172476 = V552012. assign V796545 = V411007 - 1. assign V488209 = V892826 + 1. assign V114566 = V920097 + 1. assign V151065 = V291149 + 1. assign V121577 = V114566. assign V943242 = V291149 - 1. assign V463411 = V157199 - 1. assign V998931 = V480988 - 1. assign V772199 = V356698 - 1. assign V260487 = V586980. assign V875387 = V210898. assign V272819 = V488209 + 1. assign V584741 = V157199 + 1. assign V233967 = V586980 + 1. assign V884772 = V632887 - 1. assign V594539 = V998931 - 1. assign V658434 = V998931 + 1. assign V581083 = V998931.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV609331 = 8;\n\nFrom these direct assignment(s), we have: \nV494130 = V609331 = 8;\nNo other variables can be derived from V494130;\nNo other variables can be derived from V609331;\n\nNow we have done all the calculations. Derived variables are:\nV609331 = 8;\nV494130 = 8;\n\nNow we have finished this problem. ANSWER:\nV609331, V494130\n", "role": "assistant" } ]

[ "V086239", "V698083" ]

[ { "content": "<context>\nassign V239324 = V224491 - 1. assign V867510 = V224491 + 1. assign V169717 = V780544. assign V288531 = V131784 - 1. assign V131784 = V750392. assign V879214 = V288531. assign V120818 = V839897 + 1. assign V930914 = V156560 + 1. assign V291318 = V750392 + 1. assign V474955 = V890039. assign V037756 = V985805 + 1. assign V473704 = V839897 - 1. assign V517189 = V156560 - 1. assign V086239 = 8. assign V874821 = V224491 + 1. assign V283241 = V747661. assign V869707 = V615328 - 1. assign V334380 = V767385 + 1. assign V224491 = V139227. assign V347857 = V232385. assign V549884 = V890039 + 1. assign V063746 = V520504 + 1. assign V771953 = V291318 + 1. assign V667251 = V517189 + 1. assign V600207 = V347857. assign V520504 = V232385. assign V178826 = V348423 - 1. assign V750392 = V306806 + 1. assign V698083 = V086239. assign V680791 = V174745 + 1. assign V069544 = V020347. assign V299258 = V767385. assign V232385 = V291318. assign V905805 = V869707. assign V247709 = V447082 + 1. assign V064075 = V383211 - 1. assign V126730 = V630096. assign V139934 = V615328 - 1. assign V670831 = V772898 + 1. assign V603782 = V539451 + 1. assign V174745 = V139227. assign V539451 = V561711 - 1. assign V304592 = V139934. assign V250038 = V772898 - 1. assign V985805 = V291318 - 1. assign V015096 = V380792 + 1. assign V630096 = V517189. assign V747661 = V347857 + 1. assign V890039 = V615328 + 1. assign V680064 = V009703 - 1. assign V780544 = V239324. assign V380792 = V670831 - 1. assign V680522 = V867510 + 1. assign V156560 = V869707. assign V009703 = V156560. assign V253782 = V348423 + 1. assign V565188 = V120818 - 1. assign V372827 = V549884 + 1. assign V484800 = V767385. assign V624995 = V291318 + 1. assign V637782 = V890039. assign V001619 = V306806 + 1. assign V355587 = V637782. assign V830480 = V748154 - 1. assign V774442 = V232385. assign V748154 = V615328 - 1. assign V447082 = V869707. assign V894031 = V131784. assign V767385 = V750392. assign V615328 = V750392. assign V781434 = V680064 + 1. assign V139227 = V291318. assign V007629 = V139227 - 1. assign V487312 = V637782. assign V383211 = V869707. assign V561711 = V748154 - 1. assign V348423 = V867510. assign V961222 = V600207 - 1. assign V394386 = V750392. assign V175981 = V299258 - 1. assign V020347 = V772898 - 1. assign V772898 = V750392 - 1. assign V849081 = V985805 + 1. assign V839897 = V291318 - 1. assign V512842 = V748154. assign V412111 = V615328.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V239324 = V224491 - 1. assign V867510 = V224491 + 1. assign V169717 = V780544. assign V288531 = V131784 - 1. assign V131784 = V750392. assign V879214 = V288531. assign V120818 = V839897 + 1. assign V930914 = V156560 + 1. assign V291318 = V750392 + 1. assign V474955 = V890039. assign V037756 = V985805 + 1. assign V473704 = V839897 - 1. assign V517189 = V156560 - 1. assign V086239 = 8. assign V874821 = V224491 + 1. assign V283241 = V747661. assign V869707 = V615328 - 1. assign V334380 = V767385 + 1. assign V224491 = V139227. assign V347857 = V232385. assign V549884 = V890039 + 1. assign V063746 = V520504 + 1. assign V771953 = V291318 + 1. assign V667251 = V517189 + 1. assign V600207 = V347857. assign V520504 = V232385. assign V178826 = V348423 - 1. assign V750392 = V306806 + 1. assign V698083 = V086239. assign V680791 = V174745 + 1. assign V069544 = V020347. assign V299258 = V767385. assign V232385 = V291318. assign V905805 = V869707. assign V247709 = V447082 + 1. assign V064075 = V383211 - 1. assign V126730 = V630096. assign V139934 = V615328 - 1. assign V670831 = V772898 + 1. assign V603782 = V539451 + 1. assign V174745 = V139227. assign V539451 = V561711 - 1. assign V304592 = V139934. assign V250038 = V772898 - 1. assign V985805 = V291318 - 1. assign V015096 = V380792 + 1. assign V630096 = V517189. assign V747661 = V347857 + 1. assign V890039 = V615328 + 1. assign V680064 = V009703 - 1. assign V780544 = V239324. assign V380792 = V670831 - 1. assign V680522 = V867510 + 1. assign V156560 = V869707. assign V009703 = V156560. assign V253782 = V348423 + 1. assign V565188 = V120818 - 1. assign V372827 = V549884 + 1. assign V484800 = V767385. assign V624995 = V291318 + 1. assign V637782 = V890039. assign V001619 = V306806 + 1. assign V355587 = V637782. assign V830480 = V748154 - 1. assign V774442 = V232385. assign V748154 = V615328 - 1. assign V447082 = V869707. assign V894031 = V131784. assign V767385 = V750392. assign V615328 = V750392. assign V781434 = V680064 + 1. assign V139227 = V291318. assign V007629 = V139227 - 1. assign V487312 = V637782. assign V383211 = V869707. assign V561711 = V748154 - 1. assign V348423 = V867510. assign V961222 = V600207 - 1. assign V394386 = V750392. assign V175981 = V299258 - 1. assign V020347 = V772898 - 1. assign V772898 = V750392 - 1. assign V849081 = V985805 + 1. assign V839897 = V291318 - 1. assign V512842 = V748154. assign V412111 = V615328.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV086239 = 8;\n\nFrom these direct assignment(s), we have: \nV698083 = V086239 = 8;\nNo other variables can be derived from V698083;\nNo other variables can be derived from V086239;\n\nNow we have done all the calculations. Derived variables are:\nV086239 = 8;\nV698083 = 8;\n\nNow we have finished this problem. ANSWER:\nV086239, V698083\n", "role": "assistant" } ]

[ "V580491" ]

[ { "content": "<context>\nassign V782176 = V572530 + 1. assign V460404 = V356655 + 1. assign V096717 = V199153 + 1. assign V646803 = V129491 - 1. assign V057959 = V878487. assign V898308 = V245751 + 1. assign V701451 = V476891 + 1. assign V244119 = V412391. assign V835712 = V179789 - 1. assign V885952 = V251018. assign V549896 = V030311. assign V920563 = V629068 + 1. assign V284846 = V885952 - 1. assign V841638 = V898308 - 1. assign V412391 = V753240 + 1. assign V414888 = V129491 - 1. assign V779409 = V412391. assign V994000 = V926226. assign V210312 = V476891 - 1. assign V811582 = V967153 + 1. assign V817089 = V219334 - 1. assign V876591 = V245751 - 1. assign V201458 = V327176 + 1. assign V279959 = V460404 - 1. assign V498295 = V316080. assign V240956 = V993252 + 1. assign V759060 = V414888 - 1. assign V412344 = V572632 + 1. assign V354155 = V412391 - 1. assign V337168 = V439370. assign V871978 = V795149. assign V717872 = V580491 + 1. assign V219334 = V759060 - 1. assign V878487 = V876591 - 1. assign V434318 = V835712 + 1. assign V129491 = V038503 + 1. assign V245751 = V753240 + 1. assign V484853 = V244119 - 1. assign V159524 = V607527. assign V673558 = V210312. assign V181548 = V414888. assign V776511 = V811582. assign V038503 = V828011. assign V566390 = V994000. assign V433058 = V476891 + 1. assign V476891 = V199153. assign V219444 = V878487. assign V263255 = V500112 - 1. assign V926226 = V828011. assign V455946 = V500112 + 1. assign V030311 = V199153 - 1. assign V251018 = V572530 - 1. assign V993252 = V814614 - 1. assign V814614 = V111433 + 1. assign V400953 = V251018 + 1. assign V327176 = V852255 + 1. assign V781822 = V633518. assign V828011 = V633518 - 1. assign V199153 = V753240 + 1. assign V795149 = V434318 - 1. assign V500112 = V972562. assign V972562 = V926226 + 1. assign V491224 = V476891 - 1. assign V580491 = 9. assign V179789 = V129491. assign V316080 = V926226 - 1. assign V629068 = V491224 + 1. assign V136269 = V994000. assign V356655 = V926226 - 1. assign V572530 = V926226 + 1. assign V353888 = V159524 - 1. assign V218801 = V414888. assign V572632 = V926226 + 1. assign V607527 = V030311. assign V678831 = V607527 + 1. assign V111433 = V828011 + 1. assign V742911 = V159524 + 1. assign V967153 = V439370 - 1. assign V852255 = V414888 + 1. assign V000367 = V356655 + 1. assign V753240 = V814614 + 1. assign V352967 = V244119 - 1. assign V708008 = V814614. assign V253756 = V439370 + 1. assign V059432 = V136269 - 1. assign V439370 = V814614.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V782176 = V572530 + 1. assign V460404 = V356655 + 1. assign V096717 = V199153 + 1. assign V646803 = V129491 - 1. assign V057959 = V878487. assign V898308 = V245751 + 1. assign V701451 = V476891 + 1. assign V244119 = V412391. assign V835712 = V179789 - 1. assign V885952 = V251018. assign V549896 = V030311. assign V920563 = V629068 + 1. assign V284846 = V885952 - 1. assign V841638 = V898308 - 1. assign V412391 = V753240 + 1. assign V414888 = V129491 - 1. assign V779409 = V412391. assign V994000 = V926226. assign V210312 = V476891 - 1. assign V811582 = V967153 + 1. assign V817089 = V219334 - 1. assign V876591 = V245751 - 1. assign V201458 = V327176 + 1. assign V279959 = V460404 - 1. assign V498295 = V316080. assign V240956 = V993252 + 1. assign V759060 = V414888 - 1. assign V412344 = V572632 + 1. assign V354155 = V412391 - 1. assign V337168 = V439370. assign V871978 = V795149. assign V717872 = V580491 + 1. assign V219334 = V759060 - 1. assign V878487 = V876591 - 1. assign V434318 = V835712 + 1. assign V129491 = V038503 + 1. assign V245751 = V753240 + 1. assign V484853 = V244119 - 1. assign V159524 = V607527. assign V673558 = V210312. assign V181548 = V414888. assign V776511 = V811582. assign V038503 = V828011. assign V566390 = V994000. assign V433058 = V476891 + 1. assign V476891 = V199153. assign V219444 = V878487. assign V263255 = V500112 - 1. assign V926226 = V828011. assign V455946 = V500112 + 1. assign V030311 = V199153 - 1. assign V251018 = V572530 - 1. assign V993252 = V814614 - 1. assign V814614 = V111433 + 1. assign V400953 = V251018 + 1. assign V327176 = V852255 + 1. assign V781822 = V633518. assign V828011 = V633518 - 1. assign V199153 = V753240 + 1. assign V795149 = V434318 - 1. assign V500112 = V972562. assign V972562 = V926226 + 1. assign V491224 = V476891 - 1. assign V580491 = 9. assign V179789 = V129491. assign V316080 = V926226 - 1. assign V629068 = V491224 + 1. assign V136269 = V994000. assign V356655 = V926226 - 1. assign V572530 = V926226 + 1. assign V353888 = V159524 - 1. assign V218801 = V414888. assign V572632 = V926226 + 1. assign V607527 = V030311. assign V678831 = V607527 + 1. assign V111433 = V828011 + 1. assign V742911 = V159524 + 1. assign V967153 = V439370 - 1. assign V852255 = V414888 + 1. assign V000367 = V356655 + 1. assign V753240 = V814614 + 1. assign V352967 = V244119 - 1. assign V708008 = V814614. assign V253756 = V439370 + 1. assign V059432 = V136269 - 1. assign V439370 = V814614.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV580491 = 9;\n\nFrom these direct assignment(s), we have: \nV717872 = V580491 + 1 = 9 + 1 =10;\nNo other variables can be derived from V717872;\nNo other variables can be derived from V580491;\n\nNow we have done all the calculations. Derived variables are:\nV580491 = 9;\nV717872 = 10;\n\nNow we have finished this problem. ANSWER:\nV580491\n", "role": "assistant" } ]

[ "V860228" ]

[ { "content": "<context>\nassign V577195 = V829656. assign V007909 = V583112. assign V758857 = V012887. assign V431359 = V910726 - 1. assign V519089 = V027515. assign V713982 = V003285 - 1. assign V453374 = V789236 - 1. assign V218649 = V829656. assign V236768 = V308704 + 1. assign V274032 = V450611 - 1. assign V027515 = V910726. assign V905006 = V795553 + 1. assign V262920 = V002043 + 1. assign V829156 = V450611 - 1. assign V795553 = V533527 + 1. assign V008801 = V597735. assign V172360 = V423706. assign V156211 = V829656 + 1. assign V583112 = V910726. assign V546452 = V846920 - 1. assign V246371 = V774376 + 1. assign V860925 = V007909 - 1. assign V341230 = V910726 - 1. assign V310832 = V027515. assign V525775 = V262920 - 1. assign V306505 = V583112 - 1. assign V961277 = V423706 - 1. assign V743260 = V767447. assign V450611 = V910726 - 1. assign V597735 = V280395. assign V368435 = V341230 - 1. assign V093929 = V007909 + 1. assign V829656 = V028931 + 1. assign V566675 = V093929. assign V002043 = V767447 - 1. assign V655045 = V368435. assign V186807 = V458437 - 1. assign V789236 = V910726 + 1. assign V021511 = V829656 + 1. assign V909737 = V846920. assign V519473 = V910726 + 1. assign V806120 = V829656 - 1. assign V356686 = V007909. assign V308704 = V028931 + 1. assign V283048 = V008801. assign V193434 = V308704. assign V455246 = V028931. assign V533527 = V172360 - 1. assign V276832 = V860228 + 1. assign V334498 = V058397. assign V277703 = V849733. assign V579886 = V308045 + 1. assign V729421 = V846920 - 1. assign V663658 = V274032 + 1. assign V116823 = V789236. assign V337349 = V663658 - 1. assign V860228 = 8. assign V807490 = V028931. assign V423706 = V116823 - 1. assign V012887 = V093929 + 1. assign V058397 = V910726 - 1. assign V767447 = V423706 + 1. assign V170949 = V368435 + 1. assign V300217 = V849733. assign V772969 = V116823 - 1. assign V024790 = V655045 - 1. assign V458437 = V767447 + 1. assign V840805 = V795553 + 1. assign V519321 = V184175 + 1. assign V488144 = V306505. assign V774376 = V579886 - 1. assign V787128 = V310832 + 1. assign V998523 = V306505 - 1. assign V846920 = V583112. assign V003285 = V910726. assign V546671 = V008801 - 1. assign V184175 = V007909. assign V876558 = V306505. assign V280395 = V583112 - 1. assign V028931 = V007909. assign V204887 = V274032 + 1. assign V849733 = V306505 + 1. assign V036025 = V519473 + 1. assign V008066 = V356686 - 1. assign V308045 = V116823 + 1. assign V631654 = V655045.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V577195 = V829656. assign V007909 = V583112. assign V758857 = V012887. assign V431359 = V910726 - 1. assign V519089 = V027515. assign V713982 = V003285 - 1. assign V453374 = V789236 - 1. assign V218649 = V829656. assign V236768 = V308704 + 1. assign V274032 = V450611 - 1. assign V027515 = V910726. assign V905006 = V795553 + 1. assign V262920 = V002043 + 1. assign V829156 = V450611 - 1. assign V795553 = V533527 + 1. assign V008801 = V597735. assign V172360 = V423706. assign V156211 = V829656 + 1. assign V583112 = V910726. assign V546452 = V846920 - 1. assign V246371 = V774376 + 1. assign V860925 = V007909 - 1. assign V341230 = V910726 - 1. assign V310832 = V027515. assign V525775 = V262920 - 1. assign V306505 = V583112 - 1. assign V961277 = V423706 - 1. assign V743260 = V767447. assign V450611 = V910726 - 1. assign V597735 = V280395. assign V368435 = V341230 - 1. assign V093929 = V007909 + 1. assign V829656 = V028931 + 1. assign V566675 = V093929. assign V002043 = V767447 - 1. assign V655045 = V368435. assign V186807 = V458437 - 1. assign V789236 = V910726 + 1. assign V021511 = V829656 + 1. assign V909737 = V846920. assign V519473 = V910726 + 1. assign V806120 = V829656 - 1. assign V356686 = V007909. assign V308704 = V028931 + 1. assign V283048 = V008801. assign V193434 = V308704. assign V455246 = V028931. assign V533527 = V172360 - 1. assign V276832 = V860228 + 1. assign V334498 = V058397. assign V277703 = V849733. assign V579886 = V308045 + 1. assign V729421 = V846920 - 1. assign V663658 = V274032 + 1. assign V116823 = V789236. assign V337349 = V663658 - 1. assign V860228 = 8. assign V807490 = V028931. assign V423706 = V116823 - 1. assign V012887 = V093929 + 1. assign V058397 = V910726 - 1. assign V767447 = V423706 + 1. assign V170949 = V368435 + 1. assign V300217 = V849733. assign V772969 = V116823 - 1. assign V024790 = V655045 - 1. assign V458437 = V767447 + 1. assign V840805 = V795553 + 1. assign V519321 = V184175 + 1. assign V488144 = V306505. assign V774376 = V579886 - 1. assign V787128 = V310832 + 1. assign V998523 = V306505 - 1. assign V846920 = V583112. assign V003285 = V910726. assign V546671 = V008801 - 1. assign V184175 = V007909. assign V876558 = V306505. assign V280395 = V583112 - 1. assign V028931 = V007909. assign V204887 = V274032 + 1. assign V849733 = V306505 + 1. assign V036025 = V519473 + 1. assign V008066 = V356686 - 1. assign V308045 = V116823 + 1. assign V631654 = V655045.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV860228 = 8;\n\nFrom these direct assignment(s), we have: \nV276832 = V860228 + 1 = 8 + 1 =9;\nNo other variables can be derived from V276832;\nNo other variables can be derived from V860228;\n\nNow we have done all the calculations. Derived variables are:\nV860228 = 8;\nV276832 = 9;\n\nNow we have finished this problem. ANSWER:\nV860228\n", "role": "assistant" } ]

[ "V935063" ]

[ { "content": "<context>\nassign V511695 = V878498 - 1. assign V835882 = V150781 + 1. assign V000945 = V297615 + 1. assign V166781 = V410298. assign V970238 = V406821. assign V529025 = V516242 - 1. assign V703197 = V002638. assign V287395 = V937380 + 1. assign V002638 = V529025 + 1. assign V923667 = V029019 + 1. assign V685977 = V515816. assign V847699 = V923667. assign V391015 = V516242. assign V323847 = V162541. assign V288183 = V123669 - 1. assign V285494 = V002638 + 1. assign V001200 = V391015 + 1. assign V712237 = V297615. assign V366072 = V458009 + 1. assign V294131 = V366609 + 1. assign V436847 = V297615. assign V659462 = V778268 + 1. assign V575976 = V071221. assign V458009 = V516242 + 1. assign V137437 = V659462 + 1. assign V878498 = V515816. assign V029019 = V516242 + 1. assign V186224 = V410298. assign V282755 = V294131 - 1. assign V959347 = V287395 + 1. assign V837874 = V204429. assign V007405 = V937380. assign V924522 = V285494. assign V201992 = V338126. assign V635674 = V315101 - 1. assign V278632 = V924522 + 1. assign V088834 = V712237 - 1. assign V472401 = V323847 - 1. assign V397108 = V516242 + 1. assign V515816 = V071221. assign V071221 = V458009 + 1. assign V770362 = V621027 - 1. assign V551587 = V391015 + 1. assign V410298 = V458009. assign V995150 = V685977 - 1. assign V783957 = V338126. assign V204429 = V410298. assign V338126 = V515816 - 1. assign V162541 = V002638 - 1. assign V716347 = V873058 + 1. assign V473088 = V366072. assign V126456 = V204429 - 1. assign V810430 = V002638 - 1. assign V366609 = V937380 + 1. assign V981698 = V166781 - 1. assign V990473 = V410298 + 1. assign V932268 = V166781 - 1. assign V170724 = V778268. assign V182318 = V436847 - 1. assign V873058 = V000945. assign V121556 = V170724. assign V315101 = V254888. assign V937380 = V778268 - 1. assign V150781 = V810430 + 1. assign V722100 = V570605 - 1. assign V542507 = V182318 - 1. assign V778268 = V516242 - 1. assign V123669 = V937380 - 1. assign V254888 = V492440 - 1. assign V570605 = V437331 + 1. assign V851525 = V158468 - 1. assign V437331 = V007405 - 1. assign V158468 = V170724. assign V406821 = V204429 - 1. assign V573626 = V297615 + 1. assign V670456 = V287395 + 1. assign V621027 = V315101 - 1. assign V820552 = V158468. assign V930371 = V436847 - 1. assign V297615 = V366072 - 1. assign V593636 = V397108. assign V389703 = V935063 + 1. assign V769616 = V837874. assign V053551 = V436847 + 1. assign V935063 = 0. assign V492440 = V529025 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V511695 = V878498 - 1. assign V835882 = V150781 + 1. assign V000945 = V297615 + 1. assign V166781 = V410298. assign V970238 = V406821. assign V529025 = V516242 - 1. assign V703197 = V002638. assign V287395 = V937380 + 1. assign V002638 = V529025 + 1. assign V923667 = V029019 + 1. assign V685977 = V515816. assign V847699 = V923667. assign V391015 = V516242. assign V323847 = V162541. assign V288183 = V123669 - 1. assign V285494 = V002638 + 1. assign V001200 = V391015 + 1. assign V712237 = V297615. assign V366072 = V458009 + 1. assign V294131 = V366609 + 1. assign V436847 = V297615. assign V659462 = V778268 + 1. assign V575976 = V071221. assign V458009 = V516242 + 1. assign V137437 = V659462 + 1. assign V878498 = V515816. assign V029019 = V516242 + 1. assign V186224 = V410298. assign V282755 = V294131 - 1. assign V959347 = V287395 + 1. assign V837874 = V204429. assign V007405 = V937380. assign V924522 = V285494. assign V201992 = V338126. assign V635674 = V315101 - 1. assign V278632 = V924522 + 1. assign V088834 = V712237 - 1. assign V472401 = V323847 - 1. assign V397108 = V516242 + 1. assign V515816 = V071221. assign V071221 = V458009 + 1. assign V770362 = V621027 - 1. assign V551587 = V391015 + 1. assign V410298 = V458009. assign V995150 = V685977 - 1. assign V783957 = V338126. assign V204429 = V410298. assign V338126 = V515816 - 1. assign V162541 = V002638 - 1. assign V716347 = V873058 + 1. assign V473088 = V366072. assign V126456 = V204429 - 1. assign V810430 = V002638 - 1. assign V366609 = V937380 + 1. assign V981698 = V166781 - 1. assign V990473 = V410298 + 1. assign V932268 = V166781 - 1. assign V170724 = V778268. assign V182318 = V436847 - 1. assign V873058 = V000945. assign V121556 = V170724. assign V315101 = V254888. assign V937380 = V778268 - 1. assign V150781 = V810430 + 1. assign V722100 = V570605 - 1. assign V542507 = V182318 - 1. assign V778268 = V516242 - 1. assign V123669 = V937380 - 1. assign V254888 = V492440 - 1. assign V570605 = V437331 + 1. assign V851525 = V158468 - 1. assign V437331 = V007405 - 1. assign V158468 = V170724. assign V406821 = V204429 - 1. assign V573626 = V297615 + 1. assign V670456 = V287395 + 1. assign V621027 = V315101 - 1. assign V820552 = V158468. assign V930371 = V436847 - 1. assign V297615 = V366072 - 1. assign V593636 = V397108. assign V389703 = V935063 + 1. assign V769616 = V837874. assign V053551 = V436847 + 1. assign V935063 = 0. assign V492440 = V529025 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV935063 = 0;\n\nFrom these direct assignment(s), we have: \nV389703 = V935063 + 1 = 0 + 1 =1;\nNo other variables can be derived from V389703;\nNo other variables can be derived from V935063;\n\nNow we have done all the calculations. Derived variables are:\nV935063 = 0;\nV389703 = 1;\n\nNow we have finished this problem. ANSWER:\nV935063\n", "role": "assistant" } ]

[ "V510831", "V297980" ]

[ { "content": "<context>\nassign V440655 = V907231. assign V882491 = V258495. assign V611230 = V319639 + 1. assign V635370 = V933659 - 1. assign V695651 = V594911 - 1. assign V985290 = V568298 + 1. assign V586430 = V062029 + 1. assign V621429 = V594911. assign V723694 = V795059 + 1. assign V338688 = V518772. assign V568298 = V654359 + 1. assign V459777 = V257497 + 1. assign V040692 = V463296 - 1. assign V796204 = V703001 + 1. assign V495270 = V160166 - 1. assign V394069 = V611230. assign V693604 = V459777 - 1. assign V150574 = V435098 + 1. assign V293784 = V635370 + 1. assign V595582 = V998921 + 1. assign V179207 = V611230 - 1. assign V703001 = V308410. assign V887715 = V495270 + 1. assign V312273 = V308410. assign V795059 = V933659. assign V903317 = V338688 - 1. assign V021223 = V621429 + 1. assign V654590 = V312237. assign V552431 = V312273 - 1. assign V427538 = V563571 + 1. assign V951034 = V877054 - 1. assign V197057 = V440655 + 1. assign V371437 = V278772. assign V838357 = V907231. assign V312237 = V518772. assign V907231 = V312273 + 1. assign V510831 = 10. assign V195716 = V693604 - 1. assign V132916 = V512542. assign V161942 = V463296 + 1. assign V210905 = V319639. assign V866875 = V693604 - 1. assign V107205 = V611230. assign V160166 = V654359. assign V435098 = V896059 - 1. assign V598118 = V210905 + 1. assign V443648 = V020997. assign V319639 = V308410. assign V863949 = V563571 + 1. assign V626838 = V933659 - 1. assign V877054 = V371437. assign V922826 = V621429 - 1. assign V665787 = V985290 - 1. assign V998921 = V563571 - 1. assign V916154 = V568298 - 1. assign V364192 = V857247 + 1. assign V463296 = V258495 - 1. assign V563571 = V308410. assign V043686 = V621429 + 1. assign V221840 = V985290 - 1. assign V518772 = V512542 + 1. assign V700939 = V518772. assign V257497 = V308410. assign V062029 = V998921. assign V654359 = V308410 - 1. assign V363907 = V459777 + 1. assign V688203 = V703001 - 1. assign V705210 = V043686 + 1. assign V894291 = V363907 - 1. assign V672389 = V161942 - 1. assign V158372 = V552431 - 1. assign V643307 = V319639 - 1. assign V724887 = V312237 - 1. assign V808767 = V695651 - 1. assign V278772 = V308410 - 1. assign V020997 = V312273. assign V594911 = V308410 + 1. assign V933659 = V568298 + 1. assign V857247 = V951034 + 1. assign V269260 = V795059 + 1. assign V297980 = V510831. assign V896059 = V427538 + 1. assign V578722 = V020997. assign V817381 = V896059. assign V258495 = V568298 + 1. assign V512542 = V998921.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V440655 = V907231. assign V882491 = V258495. assign V611230 = V319639 + 1. assign V635370 = V933659 - 1. assign V695651 = V594911 - 1. assign V985290 = V568298 + 1. assign V586430 = V062029 + 1. assign V621429 = V594911. assign V723694 = V795059 + 1. assign V338688 = V518772. assign V568298 = V654359 + 1. assign V459777 = V257497 + 1. assign V040692 = V463296 - 1. assign V796204 = V703001 + 1. assign V495270 = V160166 - 1. assign V394069 = V611230. assign V693604 = V459777 - 1. assign V150574 = V435098 + 1. assign V293784 = V635370 + 1. assign V595582 = V998921 + 1. assign V179207 = V611230 - 1. assign V703001 = V308410. assign V887715 = V495270 + 1. assign V312273 = V308410. assign V795059 = V933659. assign V903317 = V338688 - 1. assign V021223 = V621429 + 1. assign V654590 = V312237. assign V552431 = V312273 - 1. assign V427538 = V563571 + 1. assign V951034 = V877054 - 1. assign V197057 = V440655 + 1. assign V371437 = V278772. assign V838357 = V907231. assign V312237 = V518772. assign V907231 = V312273 + 1. assign V510831 = 10. assign V195716 = V693604 - 1. assign V132916 = V512542. assign V161942 = V463296 + 1. assign V210905 = V319639. assign V866875 = V693604 - 1. assign V107205 = V611230. assign V160166 = V654359. assign V435098 = V896059 - 1. assign V598118 = V210905 + 1. assign V443648 = V020997. assign V319639 = V308410. assign V863949 = V563571 + 1. assign V626838 = V933659 - 1. assign V877054 = V371437. assign V922826 = V621429 - 1. assign V665787 = V985290 - 1. assign V998921 = V563571 - 1. assign V916154 = V568298 - 1. assign V364192 = V857247 + 1. assign V463296 = V258495 - 1. assign V563571 = V308410. assign V043686 = V621429 + 1. assign V221840 = V985290 - 1. assign V518772 = V512542 + 1. assign V700939 = V518772. assign V257497 = V308410. assign V062029 = V998921. assign V654359 = V308410 - 1. assign V363907 = V459777 + 1. assign V688203 = V703001 - 1. assign V705210 = V043686 + 1. assign V894291 = V363907 - 1. assign V672389 = V161942 - 1. assign V158372 = V552431 - 1. assign V643307 = V319639 - 1. assign V724887 = V312237 - 1. assign V808767 = V695651 - 1. assign V278772 = V308410 - 1. assign V020997 = V312273. assign V594911 = V308410 + 1. assign V933659 = V568298 + 1. assign V857247 = V951034 + 1. assign V269260 = V795059 + 1. assign V297980 = V510831. assign V896059 = V427538 + 1. assign V578722 = V020997. assign V817381 = V896059. assign V258495 = V568298 + 1. assign V512542 = V998921.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV510831 = 10;\n\nFrom these direct assignment(s), we have: \nV297980 = V510831 = 10;\nNo other variables can be derived from V297980;\nNo other variables can be derived from V510831;\n\nNow we have done all the calculations. Derived variables are:\nV510831 = 10;\nV297980 = 10;\n\nNow we have finished this problem. ANSWER:\nV510831, V297980\n", "role": "assistant" } ]

[ "V163253", "V141100" ]

[ { "content": "<context>\nassign V386069 = V821304 + 1. assign V141100 = V163253. assign V065562 = V667056. assign V462713 = V474905 + 1. assign V708996 = V859390 - 1. assign V163253 = 6. assign V063471 = V066971. assign V013156 = V291785 - 1. assign V648294 = V166269 + 1. assign V793161 = V166269 - 1. assign V440908 = V127289. assign V821304 = V665837. assign V842919 = V575469. assign V609885 = V213976 + 1. assign V339279 = V650396 - 1. assign V066971 = V650396. assign V451105 = V073427 - 1. assign V924236 = V166269. assign V266515 = V127289 + 1. assign V859390 = V629690 - 1. assign V346032 = V422368. assign V903602 = V291785. assign V402770 = V623969 - 1. assign V485033 = V266515. assign V575469 = V421879 - 1. assign V904581 = V575469 - 1. assign V953656 = V708996. assign V213976 = V966965 - 1. assign V932218 = V014679 + 1. assign V884333 = V485033 + 1. assign V058940 = V389024. assign V155924 = V966965 - 1. assign V665837 = V200769. assign V112894 = V008404 - 1. assign V166013 = V967843 - 1. assign V437793 = V629690 + 1. assign V927692 = V234528. assign V272496 = V440908 - 1. assign V001594 = V932218 - 1. assign V033606 = V884333. assign V504614 = V234528 - 1. assign V941556 = V112894. assign V650396 = V127289 - 1. assign V328892 = V648294 + 1. assign V635115 = V440908. assign V429891 = V504614 - 1. assign V234405 = V234528. assign V629690 = V623969. assign V421879 = V166269 + 1. assign V422368 = V842919. assign V073427 = V884333 + 1. assign V200769 = V967843 - 1. assign V644696 = V623969 - 1. assign V317102 = V166013 - 1. assign V014679 = V648294 + 1. assign V367586 = V421879. assign V967843 = V623969 + 1. assign V835881 = V421879 - 1. assign V080221 = V976008 + 1. assign V970867 = V752987. assign V905002 = V339279 - 1. assign V447108 = V474905. assign V291785 = V328892. assign V003661 = V859390. assign V365938 = V835881. assign V432300 = V842919. assign V234528 = V073427 - 1. assign V976008 = V421879 + 1. assign V805839 = V166013 + 1. assign V389024 = V667056 - 1. assign V872673 = V411723 + 1. assign V411723 = V623969 + 1. assign V667056 = V884333. assign V474905 = V644696. assign V855814 = V437793 - 1. assign V008404 = V266515 - 1. assign V588087 = V367586 + 1. assign V980409 = V411723 + 1. assign V125937 = V200769. assign V752987 = V440908 - 1. assign V966965 = V166269 - 1. assign V651223 = V575469 + 1. assign V283305 = V166269 - 1. assign V592583 = V447108 + 1. assign V166269 = V623969 - 1. assign V127289 = V623969 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V386069 = V821304 + 1. assign V141100 = V163253. assign V065562 = V667056. assign V462713 = V474905 + 1. assign V708996 = V859390 - 1. assign V163253 = 6. assign V063471 = V066971. assign V013156 = V291785 - 1. assign V648294 = V166269 + 1. assign V793161 = V166269 - 1. assign V440908 = V127289. assign V821304 = V665837. assign V842919 = V575469. assign V609885 = V213976 + 1. assign V339279 = V650396 - 1. assign V066971 = V650396. assign V451105 = V073427 - 1. assign V924236 = V166269. assign V266515 = V127289 + 1. assign V859390 = V629690 - 1. assign V346032 = V422368. assign V903602 = V291785. assign V402770 = V623969 - 1. assign V485033 = V266515. assign V575469 = V421879 - 1. assign V904581 = V575469 - 1. assign V953656 = V708996. assign V213976 = V966965 - 1. assign V932218 = V014679 + 1. assign V884333 = V485033 + 1. assign V058940 = V389024. assign V155924 = V966965 - 1. assign V665837 = V200769. assign V112894 = V008404 - 1. assign V166013 = V967843 - 1. assign V437793 = V629690 + 1. assign V927692 = V234528. assign V272496 = V440908 - 1. assign V001594 = V932218 - 1. assign V033606 = V884333. assign V504614 = V234528 - 1. assign V941556 = V112894. assign V650396 = V127289 - 1. assign V328892 = V648294 + 1. assign V635115 = V440908. assign V429891 = V504614 - 1. assign V234405 = V234528. assign V629690 = V623969. assign V421879 = V166269 + 1. assign V422368 = V842919. assign V073427 = V884333 + 1. assign V200769 = V967843 - 1. assign V644696 = V623969 - 1. assign V317102 = V166013 - 1. assign V014679 = V648294 + 1. assign V367586 = V421879. assign V967843 = V623969 + 1. assign V835881 = V421879 - 1. assign V080221 = V976008 + 1. assign V970867 = V752987. assign V905002 = V339279 - 1. assign V447108 = V474905. assign V291785 = V328892. assign V003661 = V859390. assign V365938 = V835881. assign V432300 = V842919. assign V234528 = V073427 - 1. assign V976008 = V421879 + 1. assign V805839 = V166013 + 1. assign V389024 = V667056 - 1. assign V872673 = V411723 + 1. assign V411723 = V623969 + 1. assign V667056 = V884333. assign V474905 = V644696. assign V855814 = V437793 - 1. assign V008404 = V266515 - 1. assign V588087 = V367586 + 1. assign V980409 = V411723 + 1. assign V125937 = V200769. assign V752987 = V440908 - 1. assign V966965 = V166269 - 1. assign V651223 = V575469 + 1. assign V283305 = V166269 - 1. assign V592583 = V447108 + 1. assign V166269 = V623969 - 1. assign V127289 = V623969 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV163253 = 6;\n\nFrom these direct assignment(s), we have: \nV141100 = V163253 = 6;\nNo other variables can be derived from V141100;\nNo other variables can be derived from V163253;\n\nNow we have done all the calculations. Derived variables are:\nV163253 = 6;\nV141100 = 6;\n\nNow we have finished this problem. ANSWER:\nV163253, V141100\n", "role": "assistant" } ]

[ "V500760" ]

[ { "content": "<context>\nassign V260615 = V249896 + 1. assign V186190 = V403473 - 1. assign V528386 = V930101 + 1. assign V002668 = V488686. assign V460896 = V806883. assign V436332 = V841588. assign V860226 = V009246 + 1. assign V599300 = V490030. assign V519545 = V689723 + 1. assign V484346 = V841588 + 1. assign V630132 = V674781. assign V674781 = V860226 - 1. assign V330531 = V803924 + 1. assign V541500 = V850900. assign V323895 = V737268 + 1. assign V078642 = V488686 - 1. assign V150184 = V280430 - 1. assign V088515 = V748991 - 1. assign V403473 = V674781 + 1. assign V500760 = V396834 - 1. assign V660012 = V537345. assign V850900 = V806883 - 1. assign V358807 = V663919 - 1. assign V024795 = V143964. assign V354098 = V878609 + 1. assign V285847 = V337652 - 1. assign V796116 = V337652. assign V117571 = V674781. assign V651645 = V841588. assign V244017 = V674781 - 1. assign V612811 = V737268 + 1. assign V396834 = 1. assign V060962 = V674781. assign V689723 = V803924 + 1. assign V027180 = V244017 + 1. assign V840274 = V244880. assign V009246 = V806883 + 1. assign V491969 = V249896. assign V748991 = V630132 - 1. assign V987083 = V860226 + 1. assign V136108 = V249896. assign V171389 = V758363 + 1. assign V975548 = V009246. assign V337720 = V081729 - 1. assign V249896 = V806883. assign V168251 = V075490 + 1. assign V490030 = V551713 - 1. assign V537345 = V841588. assign V551713 = V260615 - 1. assign V377564 = V630132. assign V947914 = V002668 - 1. assign V563685 = V329853 + 1. assign V143964 = V009246 - 1. assign V758363 = V260615 - 1. assign V488686 = V546270. assign V930101 = V088515 - 1. assign V803924 = V806883 - 1. assign V663919 = V009246 - 1. assign V054360 = V674781 - 1. assign V322506 = V630132. assign V013448 = V758363. assign V329853 = V806883. assign V316933 = V323895 - 1. assign V320116 = V491969. assign V851821 = V841588 + 1. assign V566455 = V689723 - 1. assign V364564 = V630132. assign V227921 = V403473. assign V523980 = V260615 + 1. assign V755299 = V850900 + 1. assign V574234 = V081729. assign V075490 = V537345. assign V546270 = V630132 + 1. assign V747805 = V758363. assign V244880 = V364564. assign V841588 = V758363. assign V280430 = V490030 - 1. assign V337652 = V244880 + 1. assign V126399 = V337652 - 1. assign V239929 = V143964. assign V878609 = V860226 - 1. assign V737268 = V803924 + 1. assign V714606 = V574234 + 1. assign V791257 = V850900 - 1. assign V869708 = V484346 - 1. assign V081729 = V075490.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V260615 = V249896 + 1. assign V186190 = V403473 - 1. assign V528386 = V930101 + 1. assign V002668 = V488686. assign V460896 = V806883. assign V436332 = V841588. assign V860226 = V009246 + 1. assign V599300 = V490030. assign V519545 = V689723 + 1. assign V484346 = V841588 + 1. assign V630132 = V674781. assign V674781 = V860226 - 1. assign V330531 = V803924 + 1. assign V541500 = V850900. assign V323895 = V737268 + 1. assign V078642 = V488686 - 1. assign V150184 = V280430 - 1. assign V088515 = V748991 - 1. assign V403473 = V674781 + 1. assign V500760 = V396834 - 1. assign V660012 = V537345. assign V850900 = V806883 - 1. assign V358807 = V663919 - 1. assign V024795 = V143964. assign V354098 = V878609 + 1. assign V285847 = V337652 - 1. assign V796116 = V337652. assign V117571 = V674781. assign V651645 = V841588. assign V244017 = V674781 - 1. assign V612811 = V737268 + 1. assign V396834 = 1. assign V060962 = V674781. assign V689723 = V803924 + 1. assign V027180 = V244017 + 1. assign V840274 = V244880. assign V009246 = V806883 + 1. assign V491969 = V249896. assign V748991 = V630132 - 1. assign V987083 = V860226 + 1. assign V136108 = V249896. assign V171389 = V758363 + 1. assign V975548 = V009246. assign V337720 = V081729 - 1. assign V249896 = V806883. assign V168251 = V075490 + 1. assign V490030 = V551713 - 1. assign V537345 = V841588. assign V551713 = V260615 - 1. assign V377564 = V630132. assign V947914 = V002668 - 1. assign V563685 = V329853 + 1. assign V143964 = V009246 - 1. assign V758363 = V260615 - 1. assign V488686 = V546270. assign V930101 = V088515 - 1. assign V803924 = V806883 - 1. assign V663919 = V009246 - 1. assign V054360 = V674781 - 1. assign V322506 = V630132. assign V013448 = V758363. assign V329853 = V806883. assign V316933 = V323895 - 1. assign V320116 = V491969. assign V851821 = V841588 + 1. assign V566455 = V689723 - 1. assign V364564 = V630132. assign V227921 = V403473. assign V523980 = V260615 + 1. assign V755299 = V850900 + 1. assign V574234 = V081729. assign V075490 = V537345. assign V546270 = V630132 + 1. assign V747805 = V758363. assign V244880 = V364564. assign V841588 = V758363. assign V280430 = V490030 - 1. assign V337652 = V244880 + 1. assign V126399 = V337652 - 1. assign V239929 = V143964. assign V878609 = V860226 - 1. assign V737268 = V803924 + 1. assign V714606 = V574234 + 1. assign V791257 = V850900 - 1. assign V869708 = V484346 - 1. assign V081729 = V075490.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV396834 = 1;\n\nFrom these direct assignment(s), we have: \nV500760 = V396834 - 1 = 1 - 1 =0;\nNo other variables can be derived from V500760;\nNo other variables can be derived from V396834;\n\nNow we have done all the calculations. Derived variables are:\nV396834 = 1;\nV500760 = 0;\n\nNow we have finished this problem. ANSWER:\nV500760\n", "role": "assistant" } ]

[ "V685795" ]

[ { "content": "<context>\nassign V501996 = V198621 + 1. assign V005878 = V049007 + 1. assign V964507 = V601660. assign V981687 = V121051 + 1. assign V864407 = V451083 - 1. assign V289080 = V742494 - 1. assign V074359 = V457920. assign V937403 = V587238. assign V935700 = V696727 + 1. assign V195268 = V366584. assign V910501 = V598729. assign V257816 = V289080. assign V474805 = V888934. assign V901614 = V451046 - 1. assign V319091 = V742494 - 1. assign V684528 = V888934 - 1. assign V797397 = V901614 + 1. assign V620340 = V289080 - 1. assign V511498 = V257816 + 1. assign V454637 = V425504 - 1. assign V036850 = V121051. assign V796386 = 9. assign V697819 = V451083 - 1. assign V682456 = V390629. assign V501231 = V121051. assign V882772 = V474805. assign V389277 = V390629 - 1. assign V814480 = V049007 - 1. assign V732795 = V598729 - 1. assign V028852 = V390629 - 1. assign V049007 = V888934 + 1. assign V598729 = V864407. assign V981623 = V451083 - 1. assign V683762 = V446300 + 1. assign V451083 = V198621 + 1. assign V828960 = V451083 + 1. assign V333600 = V005878 + 1. assign V466459 = V913651. assign V643054 = V501231 + 1. assign V888934 = V451083 + 1. assign V250651 = V864407 + 1. assign V446300 = V602813. assign V425504 = V981623 - 1. assign V895581 = V250651 - 1. assign V451046 = V198621 + 1. assign V587238 = V121051 + 1. assign V283436 = V981623 - 1. assign V456416 = V388014 - 1. assign V323788 = V598729 + 1. assign V366584 = V511498 + 1. assign V591082 = V814480 - 1. assign V146634 = V051689 + 1. assign V079942 = V901614 - 1. assign V457920 = V390629 + 1. assign V390629 = V742494. assign V591342 = V079942 - 1. assign V685795 = V796386 + 1. assign V654080 = V198621 - 1. assign V956568 = V005878. assign V733753 = V283436 + 1. assign V696727 = V388014 + 1. assign V792647 = V049007. assign V396551 = V289080 + 1. assign V601660 = V049007. assign V388014 = V888934 - 1. assign V742494 = V888934 + 1. assign V152671 = V981687 + 1. assign V005906 = V684528. assign V122109 = V697819 - 1. assign V943802 = V283436 + 1. assign V075947 = V620340 + 1. assign V913651 = V935700. assign V564520 = V732795. assign V768756 = V501996 - 1. assign V449979 = V981623 + 1. assign V698369 = V601660 + 1. assign V602813 = V981623. assign V489230 = V362084 - 1. assign V550099 = V121051. assign V121051 = V451046. assign V054033 = V564520. assign V328860 = V074359 + 1. assign V362084 = V901614 + 1. assign V448563 = V396551 - 1. assign V320977 = V511498 + 1. assign V051689 = V814480.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V501996 = V198621 + 1. assign V005878 = V049007 + 1. assign V964507 = V601660. assign V981687 = V121051 + 1. assign V864407 = V451083 - 1. assign V289080 = V742494 - 1. assign V074359 = V457920. assign V937403 = V587238. assign V935700 = V696727 + 1. assign V195268 = V366584. assign V910501 = V598729. assign V257816 = V289080. assign V474805 = V888934. assign V901614 = V451046 - 1. assign V319091 = V742494 - 1. assign V684528 = V888934 - 1. assign V797397 = V901614 + 1. assign V620340 = V289080 - 1. assign V511498 = V257816 + 1. assign V454637 = V425504 - 1. assign V036850 = V121051. assign V796386 = 9. assign V697819 = V451083 - 1. assign V682456 = V390629. assign V501231 = V121051. assign V882772 = V474805. assign V389277 = V390629 - 1. assign V814480 = V049007 - 1. assign V732795 = V598729 - 1. assign V028852 = V390629 - 1. assign V049007 = V888934 + 1. assign V598729 = V864407. assign V981623 = V451083 - 1. assign V683762 = V446300 + 1. assign V451083 = V198621 + 1. assign V828960 = V451083 + 1. assign V333600 = V005878 + 1. assign V466459 = V913651. assign V643054 = V501231 + 1. assign V888934 = V451083 + 1. assign V250651 = V864407 + 1. assign V446300 = V602813. assign V425504 = V981623 - 1. assign V895581 = V250651 - 1. assign V451046 = V198621 + 1. assign V587238 = V121051 + 1. assign V283436 = V981623 - 1. assign V456416 = V388014 - 1. assign V323788 = V598729 + 1. assign V366584 = V511498 + 1. assign V591082 = V814480 - 1. assign V146634 = V051689 + 1. assign V079942 = V901614 - 1. assign V457920 = V390629 + 1. assign V390629 = V742494. assign V591342 = V079942 - 1. assign V685795 = V796386 + 1. assign V654080 = V198621 - 1. assign V956568 = V005878. assign V733753 = V283436 + 1. assign V696727 = V388014 + 1. assign V792647 = V049007. assign V396551 = V289080 + 1. assign V601660 = V049007. assign V388014 = V888934 - 1. assign V742494 = V888934 + 1. assign V152671 = V981687 + 1. assign V005906 = V684528. assign V122109 = V697819 - 1. assign V943802 = V283436 + 1. assign V075947 = V620340 + 1. assign V913651 = V935700. assign V564520 = V732795. assign V768756 = V501996 - 1. assign V449979 = V981623 + 1. assign V698369 = V601660 + 1. assign V602813 = V981623. assign V489230 = V362084 - 1. assign V550099 = V121051. assign V121051 = V451046. assign V054033 = V564520. assign V328860 = V074359 + 1. assign V362084 = V901614 + 1. assign V448563 = V396551 - 1. assign V320977 = V511498 + 1. assign V051689 = V814480.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV796386 = 9;\n\nFrom these direct assignment(s), we have: \nV685795 = V796386 + 1 = 9 + 1 =10;\nNo other variables can be derived from V685795;\nNo other variables can be derived from V796386;\n\nNow we have done all the calculations. Derived variables are:\nV796386 = 9;\nV685795 = 10;\n\nNow we have finished this problem. ANSWER:\nV685795\n", "role": "assistant" } ]

[ "V062028" ]

[ { "content": "<context>\nassign V375893 = V052568. assign V228366 = V883102. assign V644741 = V929170 - 1. assign V635010 = V644741 + 1. assign V425935 = V641477. assign V331919 = V435159. assign V917943 = V071919. assign V667228 = V052568 + 1. assign V579334 = V209966. assign V703513 = V793685. assign V308252 = V113097. assign V966941 = V883102 + 1. assign V667596 = V308252 - 1. assign V883102 = V466877 - 1. assign V704206 = V982976 - 1. assign V276958 = 3. assign V524687 = V637164. assign V407047 = V857280 - 1. assign V435159 = V407047 - 1. assign V273613 = V635010. assign V748241 = V308252 + 1. assign V488312 = V020306. assign V777899 = V633683 + 1. assign V957808 = V407047. assign V757516 = V070241. assign V929170 = V637164 - 1. assign V062028 = V276958 - 1. assign V317133 = V637164 - 1. assign V340715 = V308252. assign V232806 = V966941 + 1. assign V902888 = V232806 - 1. assign V494385 = V308252 + 1. assign V259186 = V043929 - 1. assign V248543 = V579334 - 1. assign V205226 = V295653 - 1. assign V070241 = V957808. assign V209966 = V043929. assign V041368 = V883102. assign V903563 = V957808 - 1. assign V356876 = V242323. assign V904226 = V888635 - 1. assign V356882 = V777899. assign V539945 = V331919 + 1. assign V383813 = V113097 + 1. assign V914761 = V331919 - 1. assign V888635 = V131717 - 1. assign V043929 = V883102 + 1. assign V005636 = V857280 - 1. assign V666488 = V637164 + 1. assign V859086 = V356882 + 1. assign V263796 = V466877. assign V442252 = V857280 - 1. assign V032454 = V071919. assign V857280 = V052568 + 1. assign V295653 = V883102 + 1. assign V982976 = V131717 - 1. assign V194985 = V957808 - 1. assign V929623 = V583699 + 1. assign V131717 = V113097 + 1. assign V113097 = V957808. assign V949158 = V466877 + 1. assign V854373 = V524687. assign V242323 = V857280 + 1. assign V124431 = V913358 - 1. assign V579518 = V644741 - 1. assign V583534 = V997009 + 1. assign V583699 = V494385 - 1. assign V485673 = V488312 + 1. assign V662495 = V857280. assign V641477 = V957808 + 1. assign V220105 = V957808 + 1. assign V071919 = V662495 - 1. assign V997009 = V966941 + 1. assign V503313 = V494385. assign V038046 = V113097 + 1. assign V052568 = V637164 + 1. assign V633683 = V929170 + 1. assign V884050 = V949158 + 1. assign V985637 = V209966 + 1. assign V485554 = V902888 + 1. assign V466877 = V637164 - 1. assign V002617 = V356882 - 1. assign V793685 = V884050 - 1. assign V925157 = V242323 + 1. assign V913358 = V209966 + 1. assign V020306 = V748241 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V375893 = V052568. assign V228366 = V883102. assign V644741 = V929170 - 1. assign V635010 = V644741 + 1. assign V425935 = V641477. assign V331919 = V435159. assign V917943 = V071919. assign V667228 = V052568 + 1. assign V579334 = V209966. assign V703513 = V793685. assign V308252 = V113097. assign V966941 = V883102 + 1. assign V667596 = V308252 - 1. assign V883102 = V466877 - 1. assign V704206 = V982976 - 1. assign V276958 = 3. assign V524687 = V637164. assign V407047 = V857280 - 1. assign V435159 = V407047 - 1. assign V273613 = V635010. assign V748241 = V308252 + 1. assign V488312 = V020306. assign V777899 = V633683 + 1. assign V957808 = V407047. assign V757516 = V070241. assign V929170 = V637164 - 1. assign V062028 = V276958 - 1. assign V317133 = V637164 - 1. assign V340715 = V308252. assign V232806 = V966941 + 1. assign V902888 = V232806 - 1. assign V494385 = V308252 + 1. assign V259186 = V043929 - 1. assign V248543 = V579334 - 1. assign V205226 = V295653 - 1. assign V070241 = V957808. assign V209966 = V043929. assign V041368 = V883102. assign V903563 = V957808 - 1. assign V356876 = V242323. assign V904226 = V888635 - 1. assign V356882 = V777899. assign V539945 = V331919 + 1. assign V383813 = V113097 + 1. assign V914761 = V331919 - 1. assign V888635 = V131717 - 1. assign V043929 = V883102 + 1. assign V005636 = V857280 - 1. assign V666488 = V637164 + 1. assign V859086 = V356882 + 1. assign V263796 = V466877. assign V442252 = V857280 - 1. assign V032454 = V071919. assign V857280 = V052568 + 1. assign V295653 = V883102 + 1. assign V982976 = V131717 - 1. assign V194985 = V957808 - 1. assign V929623 = V583699 + 1. assign V131717 = V113097 + 1. assign V113097 = V957808. assign V949158 = V466877 + 1. assign V854373 = V524687. assign V242323 = V857280 + 1. assign V124431 = V913358 - 1. assign V579518 = V644741 - 1. assign V583534 = V997009 + 1. assign V583699 = V494385 - 1. assign V485673 = V488312 + 1. assign V662495 = V857280. assign V641477 = V957808 + 1. assign V220105 = V957808 + 1. assign V071919 = V662495 - 1. assign V997009 = V966941 + 1. assign V503313 = V494385. assign V038046 = V113097 + 1. assign V052568 = V637164 + 1. assign V633683 = V929170 + 1. assign V884050 = V949158 + 1. assign V985637 = V209966 + 1. assign V485554 = V902888 + 1. assign V466877 = V637164 - 1. assign V002617 = V356882 - 1. assign V793685 = V884050 - 1. assign V925157 = V242323 + 1. assign V913358 = V209966 + 1. assign V020306 = V748241 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV276958 = 3;\n\nFrom these direct assignment(s), we have: \nV062028 = V276958 - 1 = 3 - 1 =2;\nNo other variables can be derived from V062028;\nNo other variables can be derived from V276958;\n\nNow we have done all the calculations. Derived variables are:\nV276958 = 3;\nV062028 = 2;\n\nNow we have finished this problem. ANSWER:\nV062028\n", "role": "assistant" } ]

[ "V648241", "V154823" ]

[ { "content": "<context>\nassign V219637 = V274997 + 1. assign V186608 = V695425 + 1. assign V391093 = V294615 - 1. assign V630200 = V293657 - 1. assign V248928 = V469370 - 1. assign V908465 = V653090. assign V698045 = V473334 + 1. assign V690810 = V469700 - 1. assign V919887 = V188051 - 1. assign V087351 = V049305 - 1. assign V911219 = V273701. assign V224179 = V273701 - 1. assign V863024 = V469700 - 1. assign V109903 = V274997 + 1. assign V698299 = V224179 + 1. assign V323501 = V109903. assign V273701 = V263638. assign V872912 = V695425 - 1. assign V231037 = V001505. assign V414238 = V263638 - 1. assign V376783 = V919029 - 1. assign V798064 = V263638 - 1. assign V682226 = V920450 - 1. assign V335836 = V653090. assign V343957 = V963752. assign V476402 = V682226 + 1. assign V519590 = V234411. assign V414578 = V294615 - 1. assign V695425 = V109903 + 1. assign V263638 = V473334 - 1. assign V381324 = V758704 + 1. assign V189022 = V293657 - 1. assign V001505 = V234411 - 1. assign V553705 = V653090 + 1. assign V648096 = V519590 - 1. assign V400900 = V872912 + 1. assign V154823 = V648241. assign V247743 = V653090 + 1. assign V234411 = V531086 - 1. assign V074372 = V376783 + 1. assign V272688 = V634609 + 1. assign V497086 = V394763 - 1. assign V802392 = V098881. assign V055480 = V519590 + 1. assign V329746 = V531086. assign V531086 = V274997 - 1. assign V055119 = V098881. assign V168885 = V335836. assign V868023 = V690810 - 1. assign V100930 = V335836 - 1. assign V348277 = V920450 + 1. assign V441877 = V293657. assign V940915 = V920450. assign V919974 = V473334 + 1. assign V634609 = V653090. assign V512962 = V758704. assign V919029 = V695425 - 1. assign V758704 = V234411 - 1. assign V469700 = V695425 + 1. assign V394763 = V919887. assign V112729 = V263638 - 1. assign V469370 = V204640. assign V552576 = V441877 - 1. assign V188051 = V698045 + 1. assign V432939 = V775398 + 1. assign V049305 = V323501 - 1. assign V963752 = V109903. assign V204640 = V323501 + 1. assign V648241 = 10. assign V294615 = V531086 - 1. assign V274997 = V473334 - 1. assign V155582 = V695425 + 1. assign V653090 = V273701. assign V527053 = V497086 + 1. assign V146945 = V247743 - 1. assign V821102 = V146945 - 1. assign V133767 = V272688 + 1. assign V293657 = V473334 - 1. assign V920450 = V473334 + 1. assign V563952 = V112729. assign V979003 = V940915 - 1. assign V083806 = V055480 + 1. assign V098881 = V274997. assign V206041 = V204640. assign V227264 = V469700. assign V775398 = V531086 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V219637 = V274997 + 1. assign V186608 = V695425 + 1. assign V391093 = V294615 - 1. assign V630200 = V293657 - 1. assign V248928 = V469370 - 1. assign V908465 = V653090. assign V698045 = V473334 + 1. assign V690810 = V469700 - 1. assign V919887 = V188051 - 1. assign V087351 = V049305 - 1. assign V911219 = V273701. assign V224179 = V273701 - 1. assign V863024 = V469700 - 1. assign V109903 = V274997 + 1. assign V698299 = V224179 + 1. assign V323501 = V109903. assign V273701 = V263638. assign V872912 = V695425 - 1. assign V231037 = V001505. assign V414238 = V263638 - 1. assign V376783 = V919029 - 1. assign V798064 = V263638 - 1. assign V682226 = V920450 - 1. assign V335836 = V653090. assign V343957 = V963752. assign V476402 = V682226 + 1. assign V519590 = V234411. assign V414578 = V294615 - 1. assign V695425 = V109903 + 1. assign V263638 = V473334 - 1. assign V381324 = V758704 + 1. assign V189022 = V293657 - 1. assign V001505 = V234411 - 1. assign V553705 = V653090 + 1. assign V648096 = V519590 - 1. assign V400900 = V872912 + 1. assign V154823 = V648241. assign V247743 = V653090 + 1. assign V234411 = V531086 - 1. assign V074372 = V376783 + 1. assign V272688 = V634609 + 1. assign V497086 = V394763 - 1. assign V802392 = V098881. assign V055480 = V519590 + 1. assign V329746 = V531086. assign V531086 = V274997 - 1. assign V055119 = V098881. assign V168885 = V335836. assign V868023 = V690810 - 1. assign V100930 = V335836 - 1. assign V348277 = V920450 + 1. assign V441877 = V293657. assign V940915 = V920450. assign V919974 = V473334 + 1. assign V634609 = V653090. assign V512962 = V758704. assign V919029 = V695425 - 1. assign V758704 = V234411 - 1. assign V469700 = V695425 + 1. assign V394763 = V919887. assign V112729 = V263638 - 1. assign V469370 = V204640. assign V552576 = V441877 - 1. assign V188051 = V698045 + 1. assign V432939 = V775398 + 1. assign V049305 = V323501 - 1. assign V963752 = V109903. assign V204640 = V323501 + 1. assign V648241 = 10. assign V294615 = V531086 - 1. assign V274997 = V473334 - 1. assign V155582 = V695425 + 1. assign V653090 = V273701. assign V527053 = V497086 + 1. assign V146945 = V247743 - 1. assign V821102 = V146945 - 1. assign V133767 = V272688 + 1. assign V293657 = V473334 - 1. assign V920450 = V473334 + 1. assign V563952 = V112729. assign V979003 = V940915 - 1. assign V083806 = V055480 + 1. assign V098881 = V274997. assign V206041 = V204640. assign V227264 = V469700. assign V775398 = V531086 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV648241 = 10;\n\nFrom these direct assignment(s), we have: \nV154823 = V648241 = 10;\nNo other variables can be derived from V154823;\nNo other variables can be derived from V648241;\n\nNow we have done all the calculations. Derived variables are:\nV648241 = 10;\nV154823 = 10;\n\nNow we have finished this problem. ANSWER:\nV648241, V154823\n", "role": "assistant" } ]

[ "V464399" ]

[ { "content": "<context>\nassign V988014 = V359259 - 1. assign V053977 = V594761. assign V919110 = V623618. assign V002163 = V906581 - 1. assign V545764 = V988014. assign V647687 = V651951. assign V771937 = V344828 - 1. assign V299906 = V994727. assign V994727 = V359259 - 1. assign V172173 = V359259. assign V351942 = V908600 + 1. assign V122012 = V413310 - 1. assign V416186 = V115845 + 1. assign V730568 = V247475 + 1. assign V896650 = V555236. assign V593610 = V584823 + 1. assign V892995 = V363461 + 1. assign V291501 = V623618 + 1. assign V854985 = V291501. assign V714259 = V810979 - 1. assign V330321 = V291501 + 1. assign V115845 = V623618 + 1. assign V810979 = V181829 + 1. assign V670303 = V387986 + 1. assign V624232 = V771937 + 1. assign V158328 = V359259. assign V682043 = V416186 - 1. assign V193866 = V072209. assign V811427 = V693948. assign V992286 = V117466. assign V965709 = V651951. assign V965579 = V416186 - 1. assign V009939 = V933594. assign V328216 = V624232 + 1. assign V192443 = V359259 + 1. assign V060437 = V651951 + 1. assign V659001 = V919110 - 1. assign V387986 = V318166 + 1. assign V651951 = V906211 - 1. assign V710193 = V117466 - 1. assign V249885 = V919110 - 1. assign V181829 = V933594. assign V117466 = V344828 - 1. assign V438696 = V906581 - 1. assign V847643 = V181829 - 1. assign V939665 = V359259 + 1. assign V536169 = V670303 + 1. assign V778614 = V059467. assign V247475 = V416186. assign V363461 = V404205 + 1. assign V623618 = V192443 + 1. assign V344828 = V610758 + 1. assign V908600 = V771937. assign V720527 = V002163. assign V610758 = V192443. assign V404205 = V623618 + 1. assign V936885 = V693948. assign V906211 = V158328 - 1. assign V825947 = V059467 - 1. assign V584823 = V623618. assign V594761 = V965579 + 1. assign V600371 = V906211 - 1. assign V473363 = V192443 - 1. assign V774422 = V291501 + 1. assign V504943 = V351942. assign V137909 = V328216 + 1. assign V359259 = V713589 + 1. assign V413310 = V359259 + 1. assign V430913 = 4. assign V277858 = V906581 - 1. assign V563019 = V919110 + 1. assign V805305 = V693948 + 1. assign V843698 = V193866 - 1. assign V933594 = V919110. assign V072209 = V682043 - 1. assign V131500 = V610758. assign V041953 = V906581 + 1. assign V318166 = V623618 + 1. assign V906581 = V610758 - 1. assign V555236 = V693948. assign V464399 = V430913 + 1. assign V116829 = V387986. assign V059467 = V363461 - 1. assign V693948 = V988014 - 1. assign V005193 = V158328. assign V924103 = V005193.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V988014 = V359259 - 1. assign V053977 = V594761. assign V919110 = V623618. assign V002163 = V906581 - 1. assign V545764 = V988014. assign V647687 = V651951. assign V771937 = V344828 - 1. assign V299906 = V994727. assign V994727 = V359259 - 1. assign V172173 = V359259. assign V351942 = V908600 + 1. assign V122012 = V413310 - 1. assign V416186 = V115845 + 1. assign V730568 = V247475 + 1. assign V896650 = V555236. assign V593610 = V584823 + 1. assign V892995 = V363461 + 1. assign V291501 = V623618 + 1. assign V854985 = V291501. assign V714259 = V810979 - 1. assign V330321 = V291501 + 1. assign V115845 = V623618 + 1. assign V810979 = V181829 + 1. assign V670303 = V387986 + 1. assign V624232 = V771937 + 1. assign V158328 = V359259. assign V682043 = V416186 - 1. assign V193866 = V072209. assign V811427 = V693948. assign V992286 = V117466. assign V965709 = V651951. assign V965579 = V416186 - 1. assign V009939 = V933594. assign V328216 = V624232 + 1. assign V192443 = V359259 + 1. assign V060437 = V651951 + 1. assign V659001 = V919110 - 1. assign V387986 = V318166 + 1. assign V651951 = V906211 - 1. assign V710193 = V117466 - 1. assign V249885 = V919110 - 1. assign V181829 = V933594. assign V117466 = V344828 - 1. assign V438696 = V906581 - 1. assign V847643 = V181829 - 1. assign V939665 = V359259 + 1. assign V536169 = V670303 + 1. assign V778614 = V059467. assign V247475 = V416186. assign V363461 = V404205 + 1. assign V623618 = V192443 + 1. assign V344828 = V610758 + 1. assign V908600 = V771937. assign V720527 = V002163. assign V610758 = V192443. assign V404205 = V623618 + 1. assign V936885 = V693948. assign V906211 = V158328 - 1. assign V825947 = V059467 - 1. assign V584823 = V623618. assign V594761 = V965579 + 1. assign V600371 = V906211 - 1. assign V473363 = V192443 - 1. assign V774422 = V291501 + 1. assign V504943 = V351942. assign V137909 = V328216 + 1. assign V359259 = V713589 + 1. assign V413310 = V359259 + 1. assign V430913 = 4. assign V277858 = V906581 - 1. assign V563019 = V919110 + 1. assign V805305 = V693948 + 1. assign V843698 = V193866 - 1. assign V933594 = V919110. assign V072209 = V682043 - 1. assign V131500 = V610758. assign V041953 = V906581 + 1. assign V318166 = V623618 + 1. assign V906581 = V610758 - 1. assign V555236 = V693948. assign V464399 = V430913 + 1. assign V116829 = V387986. assign V059467 = V363461 - 1. assign V693948 = V988014 - 1. assign V005193 = V158328. assign V924103 = V005193.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV430913 = 4;\n\nFrom these direct assignment(s), we have: \nV464399 = V430913 + 1 = 4 + 1 =5;\nNo other variables can be derived from V464399;\nNo other variables can be derived from V430913;\n\nNow we have done all the calculations. Derived variables are:\nV430913 = 4;\nV464399 = 5;\n\nNow we have finished this problem. ANSWER:\nV464399\n", "role": "assistant" } ]

[ "V744466", "V452130" ]

[ { "content": "<context>\nassign V306694 = V509247 - 1. assign V262149 = V560957 + 1. assign V284605 = V511858. assign V776176 = V449583. assign V794568 = V377010 - 1. assign V938396 = V151892. assign V172742 = V032760 - 1. assign V420683 = V670368. assign V409104 = V159628 - 1. assign V462463 = V087906. assign V232650 = V656143 + 1. assign V861768 = V191736 - 1. assign V656143 = V175436. assign V465426 = V172742 - 1. assign V783192 = V087906. assign V331244 = V938396 + 1. assign V898594 = V046705 - 1. assign V640476 = V675308 - 1. assign V700910 = V420683. assign V552676 = V462463. assign V151892 = V172742. assign V452130 = V744466. assign V927796 = V677871 - 1. assign V753461 = V291263. assign V287853 = V175436. assign V334234 = V753461. assign V251367 = V306694. assign V592778 = V817631 - 1. assign V127873 = V585623 + 1. assign V560957 = V670368 + 1. assign V105642 = V898594 - 1. assign V994595 = V510968 + 1. assign V714864 = V560957 - 1. assign V072031 = V976022. assign V698435 = V677871 - 1. assign V606482 = V072031. assign V971261 = V611549. assign V419341 = V262149. assign V403906 = V175436. assign V291263 = V032760 - 1. assign V928355 = V927796 - 1. assign V471504 = V976022 + 1. assign V744466 = 3. assign V386799 = V700910. assign V865029 = V592778 + 1. assign V670368 = V172742 + 1. assign V835769 = V449583 - 1. assign V016387 = V032760 + 1. assign V646180 = V592778 + 1. assign V175436 = V032760 - 1. assign V558102 = V735706 + 1. assign V803179 = V692565 - 1. assign V830228 = V927796 - 1. assign V046705 = V670368 - 1. assign V374496 = V835769 + 1. assign V510968 = V704608 - 1. assign V675308 = V677871 - 1. assign V692565 = V677871 - 1. assign V377010 = V552676 - 1. assign V247224 = V700910 + 1. assign V809592 = V677871. assign V932442 = V172742 - 1. assign V911075 = V803179. assign V239644 = V331244. assign V479605 = V560957 - 1. assign V449583 = V016387. assign V677871 = V016387. assign V291695 = V471504. assign V191736 = V087906 + 1. assign V585623 = V656143 + 1. assign V674990 = V016387. assign V817631 = V016387. assign V722696 = V016387. assign V704608 = V262149 + 1. assign V829494 = V803179 - 1. assign V611549 = V247224. assign V735706 = V016387 + 1. assign V476870 = V016387 + 1. assign V222143 = V704608. assign V159628 = V465426 + 1. assign V673817 = V558102. assign V511858 = V471504 - 1. assign V087906 = V016387 - 1. assign V976022 = V032760. assign V410267 = V151892. assign V509247 = V928355.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V306694 = V509247 - 1. assign V262149 = V560957 + 1. assign V284605 = V511858. assign V776176 = V449583. assign V794568 = V377010 - 1. assign V938396 = V151892. assign V172742 = V032760 - 1. assign V420683 = V670368. assign V409104 = V159628 - 1. assign V462463 = V087906. assign V232650 = V656143 + 1. assign V861768 = V191736 - 1. assign V656143 = V175436. assign V465426 = V172742 - 1. assign V783192 = V087906. assign V331244 = V938396 + 1. assign V898594 = V046705 - 1. assign V640476 = V675308 - 1. assign V700910 = V420683. assign V552676 = V462463. assign V151892 = V172742. assign V452130 = V744466. assign V927796 = V677871 - 1. assign V753461 = V291263. assign V287853 = V175436. assign V334234 = V753461. assign V251367 = V306694. assign V592778 = V817631 - 1. assign V127873 = V585623 + 1. assign V560957 = V670368 + 1. assign V105642 = V898594 - 1. assign V994595 = V510968 + 1. assign V714864 = V560957 - 1. assign V072031 = V976022. assign V698435 = V677871 - 1. assign V606482 = V072031. assign V971261 = V611549. assign V419341 = V262149. assign V403906 = V175436. assign V291263 = V032760 - 1. assign V928355 = V927796 - 1. assign V471504 = V976022 + 1. assign V744466 = 3. assign V386799 = V700910. assign V865029 = V592778 + 1. assign V670368 = V172742 + 1. assign V835769 = V449583 - 1. assign V016387 = V032760 + 1. assign V646180 = V592778 + 1. assign V175436 = V032760 - 1. assign V558102 = V735706 + 1. assign V803179 = V692565 - 1. assign V830228 = V927796 - 1. assign V046705 = V670368 - 1. assign V374496 = V835769 + 1. assign V510968 = V704608 - 1. assign V675308 = V677871 - 1. assign V692565 = V677871 - 1. assign V377010 = V552676 - 1. assign V247224 = V700910 + 1. assign V809592 = V677871. assign V932442 = V172742 - 1. assign V911075 = V803179. assign V239644 = V331244. assign V479605 = V560957 - 1. assign V449583 = V016387. assign V677871 = V016387. assign V291695 = V471504. assign V191736 = V087906 + 1. assign V585623 = V656143 + 1. assign V674990 = V016387. assign V817631 = V016387. assign V722696 = V016387. assign V704608 = V262149 + 1. assign V829494 = V803179 - 1. assign V611549 = V247224. assign V735706 = V016387 + 1. assign V476870 = V016387 + 1. assign V222143 = V704608. assign V159628 = V465426 + 1. assign V673817 = V558102. assign V511858 = V471504 - 1. assign V087906 = V016387 - 1. assign V976022 = V032760. assign V410267 = V151892. assign V509247 = V928355.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV744466 = 3;\n\nFrom these direct assignment(s), we have: \nV452130 = V744466 = 3;\nNo other variables can be derived from V452130;\nNo other variables can be derived from V744466;\n\nNow we have done all the calculations. Derived variables are:\nV744466 = 3;\nV452130 = 3;\n\nNow we have finished this problem. ANSWER:\nV744466, V452130\n", "role": "assistant" } ]

[ "V402413", "V205513" ]

[ { "content": "<context>\nassign V559451 = V621412. assign V968135 = V838247 - 1. assign V744023 = V043793. assign V782951 = V434986. assign V534332 = V424134 - 1. assign V334926 = V878278 + 1. assign V057364 = V434986 + 1. assign V733905 = V221401 - 1. assign V757245 = V950519 + 1. assign V772697 = V878278 + 1. assign V655361 = V345666. assign V128006 = V318208. assign V817392 = V680210 + 1. assign V043793 = V934017 + 1. assign V221401 = V792767 + 1. assign V680210 = V792767 - 1. assign V345666 = V051561. assign V878278 = V838247 - 1. assign V120099 = V968135. assign V810150 = V817392 - 1. assign V242366 = V654780 + 1. assign V434986 = V051561 - 1. assign V758352 = V434986 - 1. assign V113293 = V012116 - 1. assign V832103 = V715406 + 1. assign V401893 = V113293 - 1. assign V970766 = V043793 - 1. assign V192229 = V424183 + 1. assign V012116 = V950519 - 1. assign V627551 = V795351 - 1. assign V654780 = V758352 + 1. assign V831812 = V810150 + 1. assign V818687 = V043793 - 1. assign V205513 = V402413. assign V585207 = V617532 - 1. assign V402413 = 4. assign V371030 = V795351 - 1. assign V966289 = V051561. assign V422994 = V831812 - 1. assign V051561 = V792767 + 1. assign V778151 = V680210 - 1. assign V665565 = V627551 + 1. assign V318208 = V655361 + 1. assign V479152 = V076632 + 1. assign V613491 = V655361 + 1. assign V076632 = V810150. assign V311661 = V792767. assign V621412 = V570966. assign V570966 = V950519 + 1. assign V950519 = V778151 + 1. assign V999221 = V424183. assign V353402 = V345666. assign V891618 = V966289. assign V553636 = V950519 + 1. assign V796195 = V478256 + 1. assign V012571 = V570966. assign V865660 = V434986. assign V838247 = V051561. assign V547445 = V402650 - 1. assign V326784 = V680210 - 1. assign V424183 = V817392 + 1. assign V424134 = V548447 + 1. assign V565319 = V934017. assign V185504 = V778151 - 1. assign V478256 = V759997 + 1. assign V788197 = V076632 + 1. assign V940451 = V621412 - 1. assign V237021 = V570966 - 1. assign V934017 = V778151. assign V221993 = V966289 + 1. assign V412416 = V509548 + 1. assign V715406 = V934017 + 1. assign V805647 = V345666 + 1. assign V509548 = V655361. assign V795351 = V999221 - 1. assign V076275 = V051561. assign V031796 = V782951 + 1. assign V842703 = V076275 - 1. assign V857765 = V076275. assign V663598 = V548447 - 1. assign V617532 = V565319 + 1. assign V430223 = V547445 + 1. assign V402650 = V043793. assign V759997 = V655361 + 1. assign V074701 = V424183 + 1. assign V548447 = V221401 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V559451 = V621412. assign V968135 = V838247 - 1. assign V744023 = V043793. assign V782951 = V434986. assign V534332 = V424134 - 1. assign V334926 = V878278 + 1. assign V057364 = V434986 + 1. assign V733905 = V221401 - 1. assign V757245 = V950519 + 1. assign V772697 = V878278 + 1. assign V655361 = V345666. assign V128006 = V318208. assign V817392 = V680210 + 1. assign V043793 = V934017 + 1. assign V221401 = V792767 + 1. assign V680210 = V792767 - 1. assign V345666 = V051561. assign V878278 = V838247 - 1. assign V120099 = V968135. assign V810150 = V817392 - 1. assign V242366 = V654780 + 1. assign V434986 = V051561 - 1. assign V758352 = V434986 - 1. assign V113293 = V012116 - 1. assign V832103 = V715406 + 1. assign V401893 = V113293 - 1. assign V970766 = V043793 - 1. assign V192229 = V424183 + 1. assign V012116 = V950519 - 1. assign V627551 = V795351 - 1. assign V654780 = V758352 + 1. assign V831812 = V810150 + 1. assign V818687 = V043793 - 1. assign V205513 = V402413. assign V585207 = V617532 - 1. assign V402413 = 4. assign V371030 = V795351 - 1. assign V966289 = V051561. assign V422994 = V831812 - 1. assign V051561 = V792767 + 1. assign V778151 = V680210 - 1. assign V665565 = V627551 + 1. assign V318208 = V655361 + 1. assign V479152 = V076632 + 1. assign V613491 = V655361 + 1. assign V076632 = V810150. assign V311661 = V792767. assign V621412 = V570966. assign V570966 = V950519 + 1. assign V950519 = V778151 + 1. assign V999221 = V424183. assign V353402 = V345666. assign V891618 = V966289. assign V553636 = V950519 + 1. assign V796195 = V478256 + 1. assign V012571 = V570966. assign V865660 = V434986. assign V838247 = V051561. assign V547445 = V402650 - 1. assign V326784 = V680210 - 1. assign V424183 = V817392 + 1. assign V424134 = V548447 + 1. assign V565319 = V934017. assign V185504 = V778151 - 1. assign V478256 = V759997 + 1. assign V788197 = V076632 + 1. assign V940451 = V621412 - 1. assign V237021 = V570966 - 1. assign V934017 = V778151. assign V221993 = V966289 + 1. assign V412416 = V509548 + 1. assign V715406 = V934017 + 1. assign V805647 = V345666 + 1. assign V509548 = V655361. assign V795351 = V999221 - 1. assign V076275 = V051561. assign V031796 = V782951 + 1. assign V842703 = V076275 - 1. assign V857765 = V076275. assign V663598 = V548447 - 1. assign V617532 = V565319 + 1. assign V430223 = V547445 + 1. assign V402650 = V043793. assign V759997 = V655361 + 1. assign V074701 = V424183 + 1. assign V548447 = V221401 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV402413 = 4;\n\nFrom these direct assignment(s), we have: \nV205513 = V402413 = 4;\nNo other variables can be derived from V205513;\nNo other variables can be derived from V402413;\n\nNow we have done all the calculations. Derived variables are:\nV402413 = 4;\nV205513 = 4;\n\nNow we have finished this problem. ANSWER:\nV402413, V205513\n", "role": "assistant" } ]

[ "V737965", "V202455" ]

[ { "content": "<context>\nassign V675466 = V668264 + 1. assign V496769 = V480594. assign V004940 = V276922. assign V934185 = V835985 - 1. assign V188774 = V835985. assign V127345 = V297736 - 1. assign V616162 = V297736. assign V917953 = V496769 - 1. assign V046529 = V514713. assign V923790 = V917953 - 1. assign V668264 = V331303 - 1. assign V824136 = V098861. assign V713163 = V123328 - 1. assign V127097 = V297736 + 1. assign V542941 = V272867 + 1. assign V638220 = V037549 - 1. assign V020646 = V419787 + 1. assign V668180 = V468429. assign V383708 = V479642. assign V715506 = V789364 - 1. assign V378486 = V741336 - 1. assign V654737 = V496893 + 1. assign V495860 = V579316 - 1. assign V822554 = V917865 + 1. assign V941364 = V835985 + 1. assign V743671 = V297736. assign V975668 = V606311 - 1. assign V202455 = V737965. assign V829453 = V854815 - 1. assign V917865 = V941364. assign V304274 = V276922. assign V462392 = V638220 + 1. assign V737957 = V675466 + 1. assign V517276 = V304274 - 1. assign V480594 = V941364 - 1. assign V606311 = V468429 + 1. assign V521099 = V468429. assign V514713 = V917865 - 1. assign V276922 = V775863. assign V479379 = V668180 + 1. assign V172083 = V989011 + 1. assign V496893 = V046529 - 1. assign V854815 = V835985 - 1. assign V419787 = V359701 + 1. assign V297736 = V835985 - 1. assign V501072 = V127226 - 1. assign V127226 = V480594. assign V741336 = V496167 - 1. assign V989011 = V414702 - 1. assign V834523 = V514713 + 1. assign V272867 = V668180. assign V479642 = V297736. assign V434556 = V249137 + 1. assign V816602 = V917865 + 1. assign V123328 = V414702 - 1. assign V789364 = V414702 + 1. assign V642650 = V123328 - 1. assign V091471 = V824136 + 1. assign V309080 = V335361 - 1. assign V335361 = V297736. assign V513507 = V514713 - 1. assign V358524 = V496893 + 1. assign V098861 = V789364 + 1. assign V496167 = V113434 - 1. assign V113434 = V297736. assign V359701 = V789364. assign V884585 = V941364 + 1. assign V222506 = V495860 + 1. assign V331303 = V276922. assign V953153 = V331303. assign V525749 = V276922 - 1. assign V414702 = V941364. assign V205773 = V737957 + 1. assign V249137 = V378486 - 1. assign V468429 = V941364 + 1. assign V040556 = V775863 + 1. assign V235122 = V513507 + 1. assign V037549 = V675466 + 1. assign V250208 = V934185. assign V775863 = V521099 - 1. assign V995348 = V941364 - 1. assign V579316 = V414702 - 1. assign V737965 = 2. assign V616263 = V297736 + 1. assign V929250 = V713163 + 1. assign V964107 = V123328 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V675466 = V668264 + 1. assign V496769 = V480594. assign V004940 = V276922. assign V934185 = V835985 - 1. assign V188774 = V835985. assign V127345 = V297736 - 1. assign V616162 = V297736. assign V917953 = V496769 - 1. assign V046529 = V514713. assign V923790 = V917953 - 1. assign V668264 = V331303 - 1. assign V824136 = V098861. assign V713163 = V123328 - 1. assign V127097 = V297736 + 1. assign V542941 = V272867 + 1. assign V638220 = V037549 - 1. assign V020646 = V419787 + 1. assign V668180 = V468429. assign V383708 = V479642. assign V715506 = V789364 - 1. assign V378486 = V741336 - 1. assign V654737 = V496893 + 1. assign V495860 = V579316 - 1. assign V822554 = V917865 + 1. assign V941364 = V835985 + 1. assign V743671 = V297736. assign V975668 = V606311 - 1. assign V202455 = V737965. assign V829453 = V854815 - 1. assign V917865 = V941364. assign V304274 = V276922. assign V462392 = V638220 + 1. assign V737957 = V675466 + 1. assign V517276 = V304274 - 1. assign V480594 = V941364 - 1. assign V606311 = V468429 + 1. assign V521099 = V468429. assign V514713 = V917865 - 1. assign V276922 = V775863. assign V479379 = V668180 + 1. assign V172083 = V989011 + 1. assign V496893 = V046529 - 1. assign V854815 = V835985 - 1. assign V419787 = V359701 + 1. assign V297736 = V835985 - 1. assign V501072 = V127226 - 1. assign V127226 = V480594. assign V741336 = V496167 - 1. assign V989011 = V414702 - 1. assign V834523 = V514713 + 1. assign V272867 = V668180. assign V479642 = V297736. assign V434556 = V249137 + 1. assign V816602 = V917865 + 1. assign V123328 = V414702 - 1. assign V789364 = V414702 + 1. assign V642650 = V123328 - 1. assign V091471 = V824136 + 1. assign V309080 = V335361 - 1. assign V335361 = V297736. assign V513507 = V514713 - 1. assign V358524 = V496893 + 1. assign V098861 = V789364 + 1. assign V496167 = V113434 - 1. assign V113434 = V297736. assign V359701 = V789364. assign V884585 = V941364 + 1. assign V222506 = V495860 + 1. assign V331303 = V276922. assign V953153 = V331303. assign V525749 = V276922 - 1. assign V414702 = V941364. assign V205773 = V737957 + 1. assign V249137 = V378486 - 1. assign V468429 = V941364 + 1. assign V040556 = V775863 + 1. assign V235122 = V513507 + 1. assign V037549 = V675466 + 1. assign V250208 = V934185. assign V775863 = V521099 - 1. assign V995348 = V941364 - 1. assign V579316 = V414702 - 1. assign V737965 = 2. assign V616263 = V297736 + 1. assign V929250 = V713163 + 1. assign V964107 = V123328 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV737965 = 2;\n\nFrom these direct assignment(s), we have: \nV202455 = V737965 = 2;\nNo other variables can be derived from V202455;\nNo other variables can be derived from V737965;\n\nNow we have done all the calculations. Derived variables are:\nV737965 = 2;\nV202455 = 2;\n\nNow we have finished this problem. ANSWER:\nV737965, V202455\n", "role": "assistant" } ]

[ "V205080" ]

[ { "content": "<context>\nassign V157412 = V490392. assign V424226 = V231375. assign V779445 = V627020 + 1. assign V984478 = V329834 - 1. assign V471545 = V045346 - 1. assign V903543 = V984478. assign V291072 = V719837 + 1. assign V551916 = V190745 - 1. assign V659047 = V984478 - 1. assign V727841 = V767456 + 1. assign V045346 = V231375 + 1. assign V207689 = V486899. assign V008940 = V580285. assign V942892 = V751234 + 1. assign V827462 = V424226 - 1. assign V649402 = V115295 + 1. assign V778250 = V378925 + 1. assign V314663 = V778250 - 1. assign V126934 = V291072 + 1. assign V503237 = V360531. assign V749326 = V378925 - 1. assign V059638 = V045346 - 1. assign V589126 = V721275. assign V068638 = V231375. assign V602210 = V767456 + 1. assign V368052 = V503237 - 1. assign V205080 = 5. assign V608517 = V551916 - 1. assign V506976 = V749326. assign V477618 = V546860 - 1. assign V461533 = V038387 - 1. assign V490392 = V834325 - 1. assign V385032 = V548633. assign V935863 = V602210. assign V059755 = V335094 - 1. assign V411464 = V602210 - 1. assign V751234 = V190745. assign V474865 = V293184 - 1. assign V231375 = V580285. assign V024808 = V008940. assign V663454 = V486899 + 1. assign V282686 = V471545 - 1. assign V414352 = V411464 + 1. assign V536767 = V490392. assign V981334 = V329834 + 1. assign V845497 = V360531 - 1. assign V684533 = V215824 - 1. assign V486899 = V559731 - 1. assign V548633 = V834325 - 1. assign V575042 = V580285 + 1. assign V001057 = V291072 - 1. assign V026007 = V343379. assign V099979 = V038387 + 1. assign V724010 = V190745 + 1. assign V591439 = V190745. assign V627020 = V115295 - 1. assign V343379 = V548633 + 1. assign V293184 = V115295 - 1. assign V721275 = V659047 - 1. assign V691320 = V207689 - 1. assign V719837 = V490392. assign V215824 = V503237 + 1. assign V943379 = V360531. assign V559731 = V291072 + 1. assign V502218 = V827462. assign V834325 = V360531 + 1. assign V116013 = V663454 - 1. assign V378925 = V424226 - 1. assign V381338 = V231375. assign V436084 = V381338 + 1. assign V795904 = V649402. assign V038387 = V045346. assign V210760 = V903543 - 1. assign V546860 = V719837 + 1. assign V599049 = V608517 - 1. assign V853689 = V205080 + 1. assign V767456 = V068638 + 1. assign V190745 = V580285. assign V360531 = V190745 - 1. assign V769990 = V984478 + 1. assign V335094 = V190745 + 1. assign V115295 = V834325 - 1. assign V182029 = V935863. assign V542409 = V045346 - 1. assign V047714 = V834325 - 1. assign V329834 = V719837 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V157412 = V490392. assign V424226 = V231375. assign V779445 = V627020 + 1. assign V984478 = V329834 - 1. assign V471545 = V045346 - 1. assign V903543 = V984478. assign V291072 = V719837 + 1. assign V551916 = V190745 - 1. assign V659047 = V984478 - 1. assign V727841 = V767456 + 1. assign V045346 = V231375 + 1. assign V207689 = V486899. assign V008940 = V580285. assign V942892 = V751234 + 1. assign V827462 = V424226 - 1. assign V649402 = V115295 + 1. assign V778250 = V378925 + 1. assign V314663 = V778250 - 1. assign V126934 = V291072 + 1. assign V503237 = V360531. assign V749326 = V378925 - 1. assign V059638 = V045346 - 1. assign V589126 = V721275. assign V068638 = V231375. assign V602210 = V767456 + 1. assign V368052 = V503237 - 1. assign V205080 = 5. assign V608517 = V551916 - 1. assign V506976 = V749326. assign V477618 = V546860 - 1. assign V461533 = V038387 - 1. assign V490392 = V834325 - 1. assign V385032 = V548633. assign V935863 = V602210. assign V059755 = V335094 - 1. assign V411464 = V602210 - 1. assign V751234 = V190745. assign V474865 = V293184 - 1. assign V231375 = V580285. assign V024808 = V008940. assign V663454 = V486899 + 1. assign V282686 = V471545 - 1. assign V414352 = V411464 + 1. assign V536767 = V490392. assign V981334 = V329834 + 1. assign V845497 = V360531 - 1. assign V684533 = V215824 - 1. assign V486899 = V559731 - 1. assign V548633 = V834325 - 1. assign V575042 = V580285 + 1. assign V001057 = V291072 - 1. assign V026007 = V343379. assign V099979 = V038387 + 1. assign V724010 = V190745 + 1. assign V591439 = V190745. assign V627020 = V115295 - 1. assign V343379 = V548633 + 1. assign V293184 = V115295 - 1. assign V721275 = V659047 - 1. assign V691320 = V207689 - 1. assign V719837 = V490392. assign V215824 = V503237 + 1. assign V943379 = V360531. assign V559731 = V291072 + 1. assign V502218 = V827462. assign V834325 = V360531 + 1. assign V116013 = V663454 - 1. assign V378925 = V424226 - 1. assign V381338 = V231375. assign V436084 = V381338 + 1. assign V795904 = V649402. assign V038387 = V045346. assign V210760 = V903543 - 1. assign V546860 = V719837 + 1. assign V599049 = V608517 - 1. assign V853689 = V205080 + 1. assign V767456 = V068638 + 1. assign V190745 = V580285. assign V360531 = V190745 - 1. assign V769990 = V984478 + 1. assign V335094 = V190745 + 1. assign V115295 = V834325 - 1. assign V182029 = V935863. assign V542409 = V045346 - 1. assign V047714 = V834325 - 1. assign V329834 = V719837 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV205080 = 5;\n\nFrom these direct assignment(s), we have: \nV853689 = V205080 + 1 = 5 + 1 =6;\nNo other variables can be derived from V853689;\nNo other variables can be derived from V205080;\n\nNow we have done all the calculations. Derived variables are:\nV205080 = 5;\nV853689 = 6;\n\nNow we have finished this problem. ANSWER:\nV205080\n", "role": "assistant" } ]

[ "V382069" ]

[ { "content": "<context>\nassign V539606 = V938097 + 1. assign V745639 = V539606. assign V632890 = V196434. assign V948096 = V242703. assign V181742 = 0. assign V432181 = V413936 - 1. assign V648607 = V628934. assign V196434 = V990247 + 1. assign V687289 = V044529. assign V671200 = V192608 + 1. assign V854618 = V817852 - 1. assign V061219 = V882933. assign V417914 = V319811 + 1. assign V730682 = V990247 + 1. assign V798039 = V656244 - 1. assign V593036 = V101786 - 1. assign V881712 = V188446 + 1. assign V192608 = V101786 - 1. assign V729087 = V968232. assign V579458 = V817852 - 1. assign V248157 = V061219. assign V044529 = V700386. assign V078750 = V054149 + 1. assign V188446 = V071018 + 1. assign V322920 = V817852. assign V648575 = V711764 + 1. assign V071018 = V242703 + 1. assign V628869 = V356735 + 1. assign V342744 = V432181 - 1. assign V265311 = V729087 - 1. assign V398925 = V700386 - 1. assign V467924 = V242703. assign V356343 = V192608. assign V748317 = V196434 - 1. assign V882933 = V990247. assign V549463 = V990247 - 1. assign V601024 = V953900. assign V656244 = V188446 + 1. assign V628934 = V428755 + 1. assign V293207 = V748317 + 1. assign V413936 = V882933 - 1. assign V243528 = V132179 - 1. assign V864093 = V356950 - 1. assign V483525 = V329365 - 1. assign V101786 = V662366. assign V054149 = V882933. assign V356950 = V356735 - 1. assign V382069 = V181742 - 1. assign V953900 = V413936 + 1. assign V819221 = V413936 + 1. assign V132179 = V882933 - 1. assign V711764 = V953900 - 1. assign V571304 = V428755 - 1. assign V281746 = V687289. assign V662366 = V356950. assign V963126 = V003404 + 1. assign V409152 = V243528 + 1. assign V508107 = V687289. assign V817852 = V953900 - 1. assign V700386 = V628934 + 1. assign V082295 = V413936 - 1. assign V356735 = V882933 + 1. assign V971852 = V196434 - 1. assign V884277 = V671200. assign V428755 = V990247. assign V316660 = V887263 - 1. assign V914789 = V963126 + 1. assign V830481 = V628934. assign V787466 = V882933. assign V304797 = V648607 - 1. assign V042797 = V990247 + 1. assign V929115 = V243528 + 1. assign V442419 = V243528 - 1. assign V536967 = V648575 + 1. assign V003404 = V730682 + 1. assign V968232 = V428755 + 1. assign V242703 = V953900 - 1. assign V904887 = V432181 - 1. assign V307916 = V243528 - 1. assign V319811 = V242703. assign V441792 = V990247. assign V003582 = V601024. assign V887263 = V101786 - 1. assign V938097 = V304797 - 1. assign V800335 = V748317 + 1. assign V329365 = V700386 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V539606 = V938097 + 1. assign V745639 = V539606. assign V632890 = V196434. assign V948096 = V242703. assign V181742 = 0. assign V432181 = V413936 - 1. assign V648607 = V628934. assign V196434 = V990247 + 1. assign V687289 = V044529. assign V671200 = V192608 + 1. assign V854618 = V817852 - 1. assign V061219 = V882933. assign V417914 = V319811 + 1. assign V730682 = V990247 + 1. assign V798039 = V656244 - 1. assign V593036 = V101786 - 1. assign V881712 = V188446 + 1. assign V192608 = V101786 - 1. assign V729087 = V968232. assign V579458 = V817852 - 1. assign V248157 = V061219. assign V044529 = V700386. assign V078750 = V054149 + 1. assign V188446 = V071018 + 1. assign V322920 = V817852. assign V648575 = V711764 + 1. assign V071018 = V242703 + 1. assign V628869 = V356735 + 1. assign V342744 = V432181 - 1. assign V265311 = V729087 - 1. assign V398925 = V700386 - 1. assign V467924 = V242703. assign V356343 = V192608. assign V748317 = V196434 - 1. assign V882933 = V990247. assign V549463 = V990247 - 1. assign V601024 = V953900. assign V656244 = V188446 + 1. assign V628934 = V428755 + 1. assign V293207 = V748317 + 1. assign V413936 = V882933 - 1. assign V243528 = V132179 - 1. assign V864093 = V356950 - 1. assign V483525 = V329365 - 1. assign V101786 = V662366. assign V054149 = V882933. assign V356950 = V356735 - 1. assign V382069 = V181742 - 1. assign V953900 = V413936 + 1. assign V819221 = V413936 + 1. assign V132179 = V882933 - 1. assign V711764 = V953900 - 1. assign V571304 = V428755 - 1. assign V281746 = V687289. assign V662366 = V356950. assign V963126 = V003404 + 1. assign V409152 = V243528 + 1. assign V508107 = V687289. assign V817852 = V953900 - 1. assign V700386 = V628934 + 1. assign V082295 = V413936 - 1. assign V356735 = V882933 + 1. assign V971852 = V196434 - 1. assign V884277 = V671200. assign V428755 = V990247. assign V316660 = V887263 - 1. assign V914789 = V963126 + 1. assign V830481 = V628934. assign V787466 = V882933. assign V304797 = V648607 - 1. assign V042797 = V990247 + 1. assign V929115 = V243528 + 1. assign V442419 = V243528 - 1. assign V536967 = V648575 + 1. assign V003404 = V730682 + 1. assign V968232 = V428755 + 1. assign V242703 = V953900 - 1. assign V904887 = V432181 - 1. assign V307916 = V243528 - 1. assign V319811 = V242703. assign V441792 = V990247. assign V003582 = V601024. assign V887263 = V101786 - 1. assign V938097 = V304797 - 1. assign V800335 = V748317 + 1. assign V329365 = V700386 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV181742 = 0;\n\nFrom these direct assignment(s), we have: \nV382069 = V181742 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V382069;\nNo other variables can be derived from V181742;\n\nNow we have done all the calculations. Derived variables are:\nV181742 = 0;\nV382069 = -1;\n\nNow we have finished this problem. ANSWER:\nV382069\n", "role": "assistant" } ]

[ "V747600" ]

[ { "content": "<context>\nassign V763164 = V518694 - 1. assign V853721 = V264944 + 1. assign V258928 = V055351 - 1. assign V259253 = V087816 + 1. assign V122037 = V202819 + 1. assign V324114 = V264944 + 1. assign V437989 = V003497 + 1. assign V947662 = V014081. assign V821871 = V436455 + 1. assign V410802 = V747600 + 1. assign V348185 = V153663 + 1. assign V958888 = V536326. assign V074075 = V457487 + 1. assign V014081 = V728910 - 1. assign V293014 = V673824. assign V968960 = V003497 + 1. assign V246348 = V456477. assign V852890 = V518694 - 1. assign V672969 = V174570 - 1. assign V670723 = V259253 - 1. assign V993059 = V034115. assign V249650 = V340158. assign V709840 = V230632 - 1. assign V943369 = V094603. assign V003497 = V153663. assign V661502 = V968960 + 1. assign V311579 = V802005. assign V291379 = V266568 - 1. assign V418319 = V118991 + 1. assign V457487 = V673824 - 1. assign V805386 = V763164 + 1. assign V668027 = V169109 + 1. assign V169109 = V094603 - 1. assign V754074 = V705523 - 1. assign V148087 = V536326 + 1. assign V543447 = V705523 + 1. assign V753291 = V421749 + 1. assign V031990 = V993059 + 1. assign V693954 = V120813 + 1. assign V226929 = V421749 + 1. assign V802005 = V266568. assign V065945 = V264944 + 1. assign V205152 = V264944 - 1. assign V140230 = V512512. assign V673824 = V003497. assign V915242 = V172429. assign V055351 = V958888 + 1. assign V230632 = V536326 - 1. assign V721568 = V034115 + 1. assign V763037 = V348185 - 1. assign V172429 = V202819 + 1. assign V728910 = V266568 + 1. assign V087816 = V348185 + 1. assign V331336 = V802005. assign V421749 = V153663 - 1. assign V150126 = V055351 - 1. assign V120813 = V968960 - 1. assign V266568 = V536326 - 1. assign V512512 = V246348. assign V340158 = V418319. assign V034115 = V291379 - 1. assign V000054 = V763037 + 1. assign V606371 = V311579 - 1. assign V824789 = V436455 + 1. assign V118991 = V821871. assign V705523 = V264944. assign V435744 = V512512. assign V071219 = V421749 - 1. assign V664654 = V246348. assign V174570 = V763037 + 1. assign V518694 = V456477 + 1. assign V349363 = V518694 - 1. assign V897927 = V230632 + 1. assign V202819 = V349363. assign V595011 = V897927 + 1. assign V375697 = V821871. assign V082633 = V153663 + 1. assign V094603 = V536326 + 1. assign V467228 = V331336 - 1. assign V547430 = V031990. assign V436455 = V421749 - 1. assign V264944 = V003497. assign V747600 = 3. assign V536326 = V421749. assign V456477 = V536326. assign V315074 = V661502 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V763164 = V518694 - 1. assign V853721 = V264944 + 1. assign V258928 = V055351 - 1. assign V259253 = V087816 + 1. assign V122037 = V202819 + 1. assign V324114 = V264944 + 1. assign V437989 = V003497 + 1. assign V947662 = V014081. assign V821871 = V436455 + 1. assign V410802 = V747600 + 1. assign V348185 = V153663 + 1. assign V958888 = V536326. assign V074075 = V457487 + 1. assign V014081 = V728910 - 1. assign V293014 = V673824. assign V968960 = V003497 + 1. assign V246348 = V456477. assign V852890 = V518694 - 1. assign V672969 = V174570 - 1. assign V670723 = V259253 - 1. assign V993059 = V034115. assign V249650 = V340158. assign V709840 = V230632 - 1. assign V943369 = V094603. assign V003497 = V153663. assign V661502 = V968960 + 1. assign V311579 = V802005. assign V291379 = V266568 - 1. assign V418319 = V118991 + 1. assign V457487 = V673824 - 1. assign V805386 = V763164 + 1. assign V668027 = V169109 + 1. assign V169109 = V094603 - 1. assign V754074 = V705523 - 1. assign V148087 = V536326 + 1. assign V543447 = V705523 + 1. assign V753291 = V421749 + 1. assign V031990 = V993059 + 1. assign V693954 = V120813 + 1. assign V226929 = V421749 + 1. assign V802005 = V266568. assign V065945 = V264944 + 1. assign V205152 = V264944 - 1. assign V140230 = V512512. assign V673824 = V003497. assign V915242 = V172429. assign V055351 = V958888 + 1. assign V230632 = V536326 - 1. assign V721568 = V034115 + 1. assign V763037 = V348185 - 1. assign V172429 = V202819 + 1. assign V728910 = V266568 + 1. assign V087816 = V348185 + 1. assign V331336 = V802005. assign V421749 = V153663 - 1. assign V150126 = V055351 - 1. assign V120813 = V968960 - 1. assign V266568 = V536326 - 1. assign V512512 = V246348. assign V340158 = V418319. assign V034115 = V291379 - 1. assign V000054 = V763037 + 1. assign V606371 = V311579 - 1. assign V824789 = V436455 + 1. assign V118991 = V821871. assign V705523 = V264944. assign V435744 = V512512. assign V071219 = V421749 - 1. assign V664654 = V246348. assign V174570 = V763037 + 1. assign V518694 = V456477 + 1. assign V349363 = V518694 - 1. assign V897927 = V230632 + 1. assign V202819 = V349363. assign V595011 = V897927 + 1. assign V375697 = V821871. assign V082633 = V153663 + 1. assign V094603 = V536326 + 1. assign V467228 = V331336 - 1. assign V547430 = V031990. assign V436455 = V421749 - 1. assign V264944 = V003497. assign V747600 = 3. assign V536326 = V421749. assign V456477 = V536326. assign V315074 = V661502 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV747600 = 3;\n\nFrom these direct assignment(s), we have: \nV410802 = V747600 + 1 = 3 + 1 =4;\nNo other variables can be derived from V410802;\nNo other variables can be derived from V747600;\n\nNow we have done all the calculations. Derived variables are:\nV747600 = 3;\nV410802 = 4;\n\nNow we have finished this problem. ANSWER:\nV747600\n", "role": "assistant" } ]

[ "V242077" ]

[ { "content": "<context>\nassign V220701 = V646665 - 1. assign V662914 = V362671 - 1. assign V501779 = V109376 - 1. assign V109376 = V716645 - 1. assign V587913 = V403170. assign V716645 = V329588. assign V966651 = V799925 + 1. assign V707021 = V646665 - 1. assign V659859 = V247488 - 1. assign V358691 = V799925 - 1. assign V628332 = V553305. assign V094773 = V501779 - 1. assign V827377 = V527983. assign V527983 = V247488 + 1. assign V969161 = V553305 - 1. assign V553305 = V966651 - 1. assign V210622 = V731326. assign V517413 = V033677 - 1. assign V062649 = V127419 - 1. assign V081983 = V646665 + 1. assign V799925 = V329588. assign V082252 = V716645 - 1. assign V051775 = V659859 - 1. assign V844087 = V512737. assign V057889 = V358691 - 1. assign V362671 = V966651. assign V062520 = V966651. assign V992555 = V646665 + 1. assign V459043 = V699083 - 1. assign V873882 = V516886. assign V289174 = V799925. assign V731326 = V516886. assign V318222 = V299999 - 1. assign V782487 = V298200 + 1. assign V000154 = V146263. assign V329588 = V516886 - 1. assign V407500 = V707021 - 1. assign V025077 = V553305 + 1. assign V959795 = V220701 - 1. assign V164657 = V329588 - 1. assign V512737 = V981845. assign V297521 = V966651 - 1. assign V646665 = V247488. assign V265011 = V062520. assign V242077 = V619777 - 1. assign V819784 = V331070 + 1. assign V229382 = V113683 + 1. assign V462230 = V247488 + 1. assign V649480 = V707021. assign V299999 = V358691 + 1. assign V493742 = V127419 - 1. assign V027398 = V110912 - 1. assign V015306 = V265890. assign V401879 = V094773 - 1. assign V331070 = V964269 - 1. assign V247488 = V329588. assign V734553 = V707021 + 1. assign V127419 = V799925. assign V033677 = V015306. assign V403170 = V127419 + 1. assign V699083 = V964269 + 1. assign V110912 = V220701. assign V981845 = V101604 + 1. assign V519508 = V652274 - 1. assign V101604 = V966651. assign V619777 = 0. assign V058434 = V707021. assign V314621 = V501779. assign V013537 = V799925 - 1. assign V098975 = V298200 + 1. assign V654962 = V964269. assign V964269 = V057889 - 1. assign V732258 = V101604. assign V265890 = V247488 - 1. assign V146263 = V516886 + 1. assign V036022 = V969161 + 1. assign V874125 = V628332 + 1. assign V958776 = V314621 - 1. assign V585364 = V013537 - 1. assign V113683 = V101604 - 1. assign V023910 = V516886 + 1. assign V681662 = V027398 - 1. assign V426222 = V297521. assign V652274 = V362671. assign V298200 = V247488. assign V873887 = V062520 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V220701 = V646665 - 1. assign V662914 = V362671 - 1. assign V501779 = V109376 - 1. assign V109376 = V716645 - 1. assign V587913 = V403170. assign V716645 = V329588. assign V966651 = V799925 + 1. assign V707021 = V646665 - 1. assign V659859 = V247488 - 1. assign V358691 = V799925 - 1. assign V628332 = V553305. assign V094773 = V501779 - 1. assign V827377 = V527983. assign V527983 = V247488 + 1. assign V969161 = V553305 - 1. assign V553305 = V966651 - 1. assign V210622 = V731326. assign V517413 = V033677 - 1. assign V062649 = V127419 - 1. assign V081983 = V646665 + 1. assign V799925 = V329588. assign V082252 = V716645 - 1. assign V051775 = V659859 - 1. assign V844087 = V512737. assign V057889 = V358691 - 1. assign V362671 = V966651. assign V062520 = V966651. assign V992555 = V646665 + 1. assign V459043 = V699083 - 1. assign V873882 = V516886. assign V289174 = V799925. assign V731326 = V516886. assign V318222 = V299999 - 1. assign V782487 = V298200 + 1. assign V000154 = V146263. assign V329588 = V516886 - 1. assign V407500 = V707021 - 1. assign V025077 = V553305 + 1. assign V959795 = V220701 - 1. assign V164657 = V329588 - 1. assign V512737 = V981845. assign V297521 = V966651 - 1. assign V646665 = V247488. assign V265011 = V062520. assign V242077 = V619777 - 1. assign V819784 = V331070 + 1. assign V229382 = V113683 + 1. assign V462230 = V247488 + 1. assign V649480 = V707021. assign V299999 = V358691 + 1. assign V493742 = V127419 - 1. assign V027398 = V110912 - 1. assign V015306 = V265890. assign V401879 = V094773 - 1. assign V331070 = V964269 - 1. assign V247488 = V329588. assign V734553 = V707021 + 1. assign V127419 = V799925. assign V033677 = V015306. assign V403170 = V127419 + 1. assign V699083 = V964269 + 1. assign V110912 = V220701. assign V981845 = V101604 + 1. assign V519508 = V652274 - 1. assign V101604 = V966651. assign V619777 = 0. assign V058434 = V707021. assign V314621 = V501779. assign V013537 = V799925 - 1. assign V098975 = V298200 + 1. assign V654962 = V964269. assign V964269 = V057889 - 1. assign V732258 = V101604. assign V265890 = V247488 - 1. assign V146263 = V516886 + 1. assign V036022 = V969161 + 1. assign V874125 = V628332 + 1. assign V958776 = V314621 - 1. assign V585364 = V013537 - 1. assign V113683 = V101604 - 1. assign V023910 = V516886 + 1. assign V681662 = V027398 - 1. assign V426222 = V297521. assign V652274 = V362671. assign V298200 = V247488. assign V873887 = V062520 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV619777 = 0;\n\nFrom these direct assignment(s), we have: \nV242077 = V619777 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V242077;\nNo other variables can be derived from V619777;\n\nNow we have done all the calculations. Derived variables are:\nV619777 = 0;\nV242077 = -1;\n\nNow we have finished this problem. ANSWER:\nV242077\n", "role": "assistant" } ]

[ "V198330", "V822591" ]

[ { "content": "<context>\nassign V393285 = V395709 - 1. assign V114096 = V096631 + 1. assign V737155 = V096631 + 1. assign V001269 = V114096 - 1. assign V803993 = V815452 - 1. assign V534680 = V667194 - 1. assign V040980 = V381047 + 1. assign V787258 = V733564 - 1. assign V134986 = V114096 - 1. assign V069067 = V114096 - 1. assign V575806 = V978089 - 1. assign V498129 = V395709 - 1. assign V415705 = V038032 - 1. assign V667194 = V576209. assign V946262 = V067068 - 1. assign V898300 = V319414. assign V815452 = V921578. assign V705727 = V069067. assign V552638 = V114096. assign V198330 = 9. assign V094452 = V644457 + 1. assign V389005 = V679949 + 1. assign V235835 = V244185 + 1. assign V518947 = V368380. assign V040809 = V552638. assign V381445 = V381047 - 1. assign V944953 = V737155 - 1. assign V355465 = V244185 + 1. assign V733564 = V991342. assign V161049 = V948836 + 1. assign V249406 = V001269 - 1. assign V193211 = V444758. assign V576572 = V395709 - 1. assign V595164 = V576209. assign V991871 = V699721 - 1. assign V469055 = V580872 - 1. assign V267096 = V114096 - 1. assign V445134 = V621973 - 1. assign V245015 = V193211 - 1. assign V348087 = V318658. assign V398326 = V991342 + 1. assign V921578 = V937568. assign V413127 = V445134 - 1. assign V937568 = V552638 + 1. assign V282457 = V355465 - 1. assign V679949 = V946262. assign V381047 = V555479 + 1. assign V444758 = V381047 - 1. assign V130510 = V244185. assign V889496 = V803993 + 1. assign V576209 = V319414. assign V110913 = V282457 - 1. assign V948836 = V318658 + 1. assign V796129 = V381047 - 1. assign V319414 = V096631 + 1. assign V318658 = V498129 + 1. assign V998880 = V803993 + 1. assign V825466 = V667194 - 1. assign V555479 = V621973 + 1. assign V038032 = V110877 + 1. assign V580872 = V667194. assign V244185 = V921578. assign V389526 = V096631. assign V047651 = V921442 - 1. assign V269740 = V069067 - 1. assign V621973 = V737155. assign V644457 = V069067 - 1. assign V067068 = V552638. assign V978089 = V621973 + 1. assign V110877 = V114096 + 1. assign V498300 = V094452 + 1. assign V296583 = V621973 + 1. assign V395709 = V991342 - 1. assign V243108 = V319414 - 1. assign V709847 = V001269 + 1. assign V801212 = V803993 - 1. assign V822591 = V198330. assign V354970 = V382502 - 1. assign V921442 = V001269 + 1. assign V699721 = V991342. assign V368380 = V444758 - 1. assign V382502 = V555479 - 1. assign V897681 = V110913 + 1. assign V574497 = V998880 + 1. assign V991342 = V944953. assign V282258 = V737155.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V393285 = V395709 - 1. assign V114096 = V096631 + 1. assign V737155 = V096631 + 1. assign V001269 = V114096 - 1. assign V803993 = V815452 - 1. assign V534680 = V667194 - 1. assign V040980 = V381047 + 1. assign V787258 = V733564 - 1. assign V134986 = V114096 - 1. assign V069067 = V114096 - 1. assign V575806 = V978089 - 1. assign V498129 = V395709 - 1. assign V415705 = V038032 - 1. assign V667194 = V576209. assign V946262 = V067068 - 1. assign V898300 = V319414. assign V815452 = V921578. assign V705727 = V069067. assign V552638 = V114096. assign V198330 = 9. assign V094452 = V644457 + 1. assign V389005 = V679949 + 1. assign V235835 = V244185 + 1. assign V518947 = V368380. assign V040809 = V552638. assign V381445 = V381047 - 1. assign V944953 = V737155 - 1. assign V355465 = V244185 + 1. assign V733564 = V991342. assign V161049 = V948836 + 1. assign V249406 = V001269 - 1. assign V193211 = V444758. assign V576572 = V395709 - 1. assign V595164 = V576209. assign V991871 = V699721 - 1. assign V469055 = V580872 - 1. assign V267096 = V114096 - 1. assign V445134 = V621973 - 1. assign V245015 = V193211 - 1. assign V348087 = V318658. assign V398326 = V991342 + 1. assign V921578 = V937568. assign V413127 = V445134 - 1. assign V937568 = V552638 + 1. assign V282457 = V355465 - 1. assign V679949 = V946262. assign V381047 = V555479 + 1. assign V444758 = V381047 - 1. assign V130510 = V244185. assign V889496 = V803993 + 1. assign V576209 = V319414. assign V110913 = V282457 - 1. assign V948836 = V318658 + 1. assign V796129 = V381047 - 1. assign V319414 = V096631 + 1. assign V318658 = V498129 + 1. assign V998880 = V803993 + 1. assign V825466 = V667194 - 1. assign V555479 = V621973 + 1. assign V038032 = V110877 + 1. assign V580872 = V667194. assign V244185 = V921578. assign V389526 = V096631. assign V047651 = V921442 - 1. assign V269740 = V069067 - 1. assign V621973 = V737155. assign V644457 = V069067 - 1. assign V067068 = V552638. assign V978089 = V621973 + 1. assign V110877 = V114096 + 1. assign V498300 = V094452 + 1. assign V296583 = V621973 + 1. assign V395709 = V991342 - 1. assign V243108 = V319414 - 1. assign V709847 = V001269 + 1. assign V801212 = V803993 - 1. assign V822591 = V198330. assign V354970 = V382502 - 1. assign V921442 = V001269 + 1. assign V699721 = V991342. assign V368380 = V444758 - 1. assign V382502 = V555479 - 1. assign V897681 = V110913 + 1. assign V574497 = V998880 + 1. assign V991342 = V944953. assign V282258 = V737155.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV198330 = 9;\n\nFrom these direct assignment(s), we have: \nV822591 = V198330 = 9;\nNo other variables can be derived from V822591;\nNo other variables can be derived from V198330;\n\nNow we have done all the calculations. Derived variables are:\nV198330 = 9;\nV822591 = 9;\n\nNow we have finished this problem. ANSWER:\nV198330, V822591\n", "role": "assistant" } ]

[ "V070613" ]

[ { "content": "<context>\nassign V999588 = V058706. assign V025222 = V523320 - 1. assign V963516 = V715799 + 1. assign V353374 = V184580 + 1. assign V879020 = V496765 + 1. assign V848825 = V058706 + 1. assign V405906 = V523320 - 1. assign V314569 = V792715 + 1. assign V789523 = V058706. assign V574133 = 9. assign V549475 = V900785 - 1. assign V030679 = V428043 + 1. assign V496536 = V374268 + 1. assign V606184 = V789523. assign V025583 = V090041 - 1. assign V921780 = V820306 - 1. assign V496765 = V715799 - 1. assign V071282 = V900785 + 1. assign V478963 = V789523. assign V321111 = V968481 + 1. assign V086219 = V403191. assign V426987 = V428043. assign V305530 = V846468 + 1. assign V735652 = V403191 + 1. assign V772721 = V335898. assign V792715 = V058706 + 1. assign V900785 = V374268 - 1. assign V584930 = V498902 - 1. assign V521199 = V963516 - 1. assign V310767 = V999588 - 1. assign V525194 = V999588 - 1. assign V147368 = V789523. assign V690159 = V374268. assign V498902 = V071282 - 1. assign V259504 = V690159 + 1. assign V340144 = V478963 + 1. assign V377390 = V694613 + 1. assign V403191 = V958426. assign V889020 = V377390 + 1. assign V958426 = V058706. assign V559483 = V157139. assign V524112 = V848825 - 1. assign V319093 = V524112 - 1. assign V398387 = V147368 - 1. assign V300101 = V496536 - 1. assign V872923 = V426987 + 1. assign V587078 = V690159 + 1. assign V378739 = V525194 + 1. assign V759256 = V820306 + 1. assign V536506 = V319093 - 1. assign V157139 = V999588 - 1. assign V428043 = V559483. assign V125612 = V330735 - 1. assign V395903 = V317642 - 1. assign V480096 = V478963 + 1. assign V306218 = V735652 - 1. assign V034806 = V090041 - 1. assign V335898 = V690159. assign V281433 = V478963 - 1. assign V374268 = V789523 - 1. assign V968481 = V330735 - 1. assign V074601 = V184580. assign V139635 = V335898. assign V172329 = V428043 - 1. assign V820306 = V958426 + 1. assign V694613 = V789523 + 1. assign V846468 = V403191. assign V340432 = V314569 + 1. assign V911866 = V071282. assign V184580 = V058706. assign V523320 = V259504 - 1. assign V551670 = V428043. assign V948018 = V426987 - 1. assign V686512 = V820306 - 1. assign V237991 = V496536 - 1. assign V204467 = V058706 + 1. assign V509325 = V480096 - 1. assign V773610 = V480096 - 1. assign V090041 = V792715. assign V070613 = V574133 + 1. assign V045341 = V374268 - 1. assign V976382 = V045341 - 1. assign V715799 = V184580. assign V670532 = V999588. assign V330735 = V846468 + 1. assign V317642 = V759256 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V999588 = V058706. assign V025222 = V523320 - 1. assign V963516 = V715799 + 1. assign V353374 = V184580 + 1. assign V879020 = V496765 + 1. assign V848825 = V058706 + 1. assign V405906 = V523320 - 1. assign V314569 = V792715 + 1. assign V789523 = V058706. assign V574133 = 9. assign V549475 = V900785 - 1. assign V030679 = V428043 + 1. assign V496536 = V374268 + 1. assign V606184 = V789523. assign V025583 = V090041 - 1. assign V921780 = V820306 - 1. assign V496765 = V715799 - 1. assign V071282 = V900785 + 1. assign V478963 = V789523. assign V321111 = V968481 + 1. assign V086219 = V403191. assign V426987 = V428043. assign V305530 = V846468 + 1. assign V735652 = V403191 + 1. assign V772721 = V335898. assign V792715 = V058706 + 1. assign V900785 = V374268 - 1. assign V584930 = V498902 - 1. assign V521199 = V963516 - 1. assign V310767 = V999588 - 1. assign V525194 = V999588 - 1. assign V147368 = V789523. assign V690159 = V374268. assign V498902 = V071282 - 1. assign V259504 = V690159 + 1. assign V340144 = V478963 + 1. assign V377390 = V694613 + 1. assign V403191 = V958426. assign V889020 = V377390 + 1. assign V958426 = V058706. assign V559483 = V157139. assign V524112 = V848825 - 1. assign V319093 = V524112 - 1. assign V398387 = V147368 - 1. assign V300101 = V496536 - 1. assign V872923 = V426987 + 1. assign V587078 = V690159 + 1. assign V378739 = V525194 + 1. assign V759256 = V820306 + 1. assign V536506 = V319093 - 1. assign V157139 = V999588 - 1. assign V428043 = V559483. assign V125612 = V330735 - 1. assign V395903 = V317642 - 1. assign V480096 = V478963 + 1. assign V306218 = V735652 - 1. assign V034806 = V090041 - 1. assign V335898 = V690159. assign V281433 = V478963 - 1. assign V374268 = V789523 - 1. assign V968481 = V330735 - 1. assign V074601 = V184580. assign V139635 = V335898. assign V172329 = V428043 - 1. assign V820306 = V958426 + 1. assign V694613 = V789523 + 1. assign V846468 = V403191. assign V340432 = V314569 + 1. assign V911866 = V071282. assign V184580 = V058706. assign V523320 = V259504 - 1. assign V551670 = V428043. assign V948018 = V426987 - 1. assign V686512 = V820306 - 1. assign V237991 = V496536 - 1. assign V204467 = V058706 + 1. assign V509325 = V480096 - 1. assign V773610 = V480096 - 1. assign V090041 = V792715. assign V070613 = V574133 + 1. assign V045341 = V374268 - 1. assign V976382 = V045341 - 1. assign V715799 = V184580. assign V670532 = V999588. assign V330735 = V846468 + 1. assign V317642 = V759256 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV574133 = 9;\n\nFrom these direct assignment(s), we have: \nV070613 = V574133 + 1 = 9 + 1 =10;\nNo other variables can be derived from V070613;\nNo other variables can be derived from V574133;\n\nNow we have done all the calculations. Derived variables are:\nV574133 = 9;\nV070613 = 10;\n\nNow we have finished this problem. ANSWER:\nV070613\n", "role": "assistant" } ]

[ "V023476" ]

[ { "content": "<context>\nassign V099053 = V651153 - 1. assign V900655 = V568117 - 1. assign V313584 = V051617 - 1. assign V793808 = V886153. assign V867917 = V176260 - 1. assign V059129 = V498458. assign V056004 = V589120. assign V676352 = V568117 - 1. assign V054599 = V255867 + 1. assign V841696 = V024465 - 1. assign V315694 = V611788. assign V510160 = V900753 - 1. assign V051617 = V453768 - 1. assign V790224 = V700551. assign V651153 = V103094. assign V589120 = V051617 + 1. assign V044415 = V683181 - 1. assign V050032 = V900655 + 1. assign V611788 = V255867 - 1. assign V635761 = V176260 - 1. assign V697232 = V313584 + 1. assign V329808 = V075008 + 1. assign V575494 = V024465 + 1. assign V024465 = V054599 - 1. assign V103094 = V054599 - 1. assign V183008 = V051617. assign V886153 = V651153 + 1. assign V933931 = V498458 + 1. assign V140371 = V876134. assign V431033 = V568117 - 1. assign V209288 = V152063. assign V692380 = V246947. assign V498873 = V051617 - 1. assign V663773 = V676352 + 1. assign V886745 = V439318 - 1. assign V986900 = V575494 + 1. assign V141369 = V510160 + 1. assign V896695 = V596158 + 1. assign V840161 = V692380 + 1. assign V176260 = V900655. assign V584582 = V183008 + 1. assign V851727 = V126781 - 1. assign V114250 = V584582 + 1. assign V372183 = V255867. assign V821725 = V694173 + 1. assign V130666 = V246947 + 1. assign V683181 = V051617 + 1. assign V440525 = V886153. assign V596158 = V255867. assign V739229 = V054599. assign V453768 = V568117 - 1. assign V152063 = V141369. assign V498458 = V568117. assign V631293 = V255867 + 1. assign V390446 = 6. assign V054346 = V700551 - 1. assign V573185 = V663773. assign V400286 = V453768 - 1. assign V478542 = V900753 - 1. assign V255867 = V900655 - 1. assign V023476 = V390446 - 1. assign V962693 = V900655. assign V307656 = V372183 - 1. assign V876134 = V176260 - 1. assign V200967 = V694173 - 1. assign V693015 = V510160 - 1. assign V441630 = V840161 + 1. assign V984522 = V478542. assign V213916 = V962693. assign V399021 = V611788 + 1. assign V694173 = V255867. assign V548148 = V692380. assign V751701 = V631293. assign V706521 = V140371 + 1. assign V419294 = V255867. assign V075008 = V051617 - 1. assign V246947 = V700551 - 1. assign V169319 = V044415 - 1. assign V439318 = V054599 - 1. assign V900753 = V962693. assign V267379 = V663773 + 1. assign V700551 = V054599. assign V692088 = V694173. assign V832921 = V431033 - 1. assign V126781 = V024465 - 1. assign V787244 = V075008 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V099053 = V651153 - 1. assign V900655 = V568117 - 1. assign V313584 = V051617 - 1. assign V793808 = V886153. assign V867917 = V176260 - 1. assign V059129 = V498458. assign V056004 = V589120. assign V676352 = V568117 - 1. assign V054599 = V255867 + 1. assign V841696 = V024465 - 1. assign V315694 = V611788. assign V510160 = V900753 - 1. assign V051617 = V453768 - 1. assign V790224 = V700551. assign V651153 = V103094. assign V589120 = V051617 + 1. assign V044415 = V683181 - 1. assign V050032 = V900655 + 1. assign V611788 = V255867 - 1. assign V635761 = V176260 - 1. assign V697232 = V313584 + 1. assign V329808 = V075008 + 1. assign V575494 = V024465 + 1. assign V024465 = V054599 - 1. assign V103094 = V054599 - 1. assign V183008 = V051617. assign V886153 = V651153 + 1. assign V933931 = V498458 + 1. assign V140371 = V876134. assign V431033 = V568117 - 1. assign V209288 = V152063. assign V692380 = V246947. assign V498873 = V051617 - 1. assign V663773 = V676352 + 1. assign V886745 = V439318 - 1. assign V986900 = V575494 + 1. assign V141369 = V510160 + 1. assign V896695 = V596158 + 1. assign V840161 = V692380 + 1. assign V176260 = V900655. assign V584582 = V183008 + 1. assign V851727 = V126781 - 1. assign V114250 = V584582 + 1. assign V372183 = V255867. assign V821725 = V694173 + 1. assign V130666 = V246947 + 1. assign V683181 = V051617 + 1. assign V440525 = V886153. assign V596158 = V255867. assign V739229 = V054599. assign V453768 = V568117 - 1. assign V152063 = V141369. assign V498458 = V568117. assign V631293 = V255867 + 1. assign V390446 = 6. assign V054346 = V700551 - 1. assign V573185 = V663773. assign V400286 = V453768 - 1. assign V478542 = V900753 - 1. assign V255867 = V900655 - 1. assign V023476 = V390446 - 1. assign V962693 = V900655. assign V307656 = V372183 - 1. assign V876134 = V176260 - 1. assign V200967 = V694173 - 1. assign V693015 = V510160 - 1. assign V441630 = V840161 + 1. assign V984522 = V478542. assign V213916 = V962693. assign V399021 = V611788 + 1. assign V694173 = V255867. assign V548148 = V692380. assign V751701 = V631293. assign V706521 = V140371 + 1. assign V419294 = V255867. assign V075008 = V051617 - 1. assign V246947 = V700551 - 1. assign V169319 = V044415 - 1. assign V439318 = V054599 - 1. assign V900753 = V962693. assign V267379 = V663773 + 1. assign V700551 = V054599. assign V692088 = V694173. assign V832921 = V431033 - 1. assign V126781 = V024465 - 1. assign V787244 = V075008 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV390446 = 6;\n\nFrom these direct assignment(s), we have: \nV023476 = V390446 - 1 = 6 - 1 =5;\nNo other variables can be derived from V023476;\nNo other variables can be derived from V390446;\n\nNow we have done all the calculations. Derived variables are:\nV390446 = 6;\nV023476 = 5;\n\nNow we have finished this problem. ANSWER:\nV023476\n", "role": "assistant" } ]

[ "V189706" ]

[ { "content": "<context>\nassign V927635 = V198555 + 1. assign V185521 = V233263. assign V858236 = V352441. assign V498176 = V020667 + 1. assign V484143 = V429456 + 1. assign V778625 = V290891. assign V772709 = V398009 - 1. assign V408714 = V398009 + 1. assign V804001 = V859229 - 1. assign V630091 = V828647 + 1. assign V632633 = V804001 + 1. assign V858909 = V185521 - 1. assign V914719 = V732796. assign V698197 = V520337 + 1. assign V086594 = V687143 - 1. assign V752118 = V362551 - 1. assign V828647 = V858236 - 1. assign V520337 = V859229 - 1. assign V596559 = V593726. assign V741580 = V498176 + 1. assign V601679 = V954739 - 1. assign V963453 = V198555 + 1. assign V043014 = V362551 - 1. assign V931104 = V185521 - 1. assign V538876 = V682720 - 1. assign V441344 = V772709. assign V350663 = V020667. assign V746236 = V368108 - 1. assign V290891 = V185521 - 1. assign V497672 = V354518 - 1. assign V190837 = V455191 + 1. assign V009180 = V858236 - 1. assign V065551 = V596559 + 1. assign V001775 = V858236 + 1. assign V048740 = V398009. assign V682720 = V408714 - 1. assign V214306 = V622142. assign V593726 = V352441 - 1. assign V455191 = V495209 + 1. assign V233263 = V752118 - 1. assign V495209 = V593726. assign V594563 = V687143. assign V062433 = V593726 + 1. assign V398009 = V352441. assign V354518 = V963453 - 1. assign V024539 = V350663 - 1. assign V660907 = V690320 + 1. assign V020667 = V398009 - 1. assign V874799 = V520337. assign V622142 = V043014 + 1. assign V465541 = V020667. assign V200068 = V233263 + 1. assign V033408 = V484143 - 1. assign V690320 = V020667 + 1. assign V650718 = V009180 + 1. assign V655038 = V804001 - 1. assign V127425 = V859229. assign V599052 = V198555. assign V198555 = V859229. assign V917930 = V455191 + 1. assign V480533 = V352441. assign V955790 = V914719. assign V242167 = V955790 - 1. assign V715201 = V048740 - 1. assign V429456 = V732796 - 1. assign V486560 = V828647 + 1. assign V079256 = V804001 + 1. assign V994372 = V352441 + 1. assign V687143 = V804001 + 1. assign V718854 = V189706 - 1. assign V189706 = 6. assign V398729 = V858236. assign V048462 = V498176. assign V732796 = V362551. assign V954739 = V198555. assign V405525 = V682720 + 1. assign V945765 = V858236 - 1. assign V300242 = V062433 + 1. assign V368108 = V455191 + 1. assign V769724 = V368108 + 1. assign V231755 = V859229 + 1. assign V683707 = V954739 - 1. assign V362551 = V859229 + 1. assign V186804 = V682720. assign V859229 = V593726. assign V898178 = V683707 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V927635 = V198555 + 1. assign V185521 = V233263. assign V858236 = V352441. assign V498176 = V020667 + 1. assign V484143 = V429456 + 1. assign V778625 = V290891. assign V772709 = V398009 - 1. assign V408714 = V398009 + 1. assign V804001 = V859229 - 1. assign V630091 = V828647 + 1. assign V632633 = V804001 + 1. assign V858909 = V185521 - 1. assign V914719 = V732796. assign V698197 = V520337 + 1. assign V086594 = V687143 - 1. assign V752118 = V362551 - 1. assign V828647 = V858236 - 1. assign V520337 = V859229 - 1. assign V596559 = V593726. assign V741580 = V498176 + 1. assign V601679 = V954739 - 1. assign V963453 = V198555 + 1. assign V043014 = V362551 - 1. assign V931104 = V185521 - 1. assign V538876 = V682720 - 1. assign V441344 = V772709. assign V350663 = V020667. assign V746236 = V368108 - 1. assign V290891 = V185521 - 1. assign V497672 = V354518 - 1. assign V190837 = V455191 + 1. assign V009180 = V858236 - 1. assign V065551 = V596559 + 1. assign V001775 = V858236 + 1. assign V048740 = V398009. assign V682720 = V408714 - 1. assign V214306 = V622142. assign V593726 = V352441 - 1. assign V455191 = V495209 + 1. assign V233263 = V752118 - 1. assign V495209 = V593726. assign V594563 = V687143. assign V062433 = V593726 + 1. assign V398009 = V352441. assign V354518 = V963453 - 1. assign V024539 = V350663 - 1. assign V660907 = V690320 + 1. assign V020667 = V398009 - 1. assign V874799 = V520337. assign V622142 = V043014 + 1. assign V465541 = V020667. assign V200068 = V233263 + 1. assign V033408 = V484143 - 1. assign V690320 = V020667 + 1. assign V650718 = V009180 + 1. assign V655038 = V804001 - 1. assign V127425 = V859229. assign V599052 = V198555. assign V198555 = V859229. assign V917930 = V455191 + 1. assign V480533 = V352441. assign V955790 = V914719. assign V242167 = V955790 - 1. assign V715201 = V048740 - 1. assign V429456 = V732796 - 1. assign V486560 = V828647 + 1. assign V079256 = V804001 + 1. assign V994372 = V352441 + 1. assign V687143 = V804001 + 1. assign V718854 = V189706 - 1. assign V189706 = 6. assign V398729 = V858236. assign V048462 = V498176. assign V732796 = V362551. assign V954739 = V198555. assign V405525 = V682720 + 1. assign V945765 = V858236 - 1. assign V300242 = V062433 + 1. assign V368108 = V455191 + 1. assign V769724 = V368108 + 1. assign V231755 = V859229 + 1. assign V683707 = V954739 - 1. assign V362551 = V859229 + 1. assign V186804 = V682720. assign V859229 = V593726. assign V898178 = V683707 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV189706 = 6;\n\nFrom these direct assignment(s), we have: \nV718854 = V189706 - 1 = 6 - 1 =5;\nNo other variables can be derived from V718854;\nNo other variables can be derived from V189706;\n\nNow we have done all the calculations. Derived variables are:\nV189706 = 6;\nV718854 = 5;\n\nNow we have finished this problem. ANSWER:\nV189706\n", "role": "assistant" } ]

[ "V809023" ]

[ { "content": "<context>\nassign V309368 = V513321 + 1. assign V521716 = V683974. assign V755566 = V684796 + 1. assign V075989 = V940527 - 1. assign V888517 = V099338 + 1. assign V216685 = V267124. assign V854225 = V987552. assign V967945 = V216685 - 1. assign V593732 = V337852. assign V809023 = 1. assign V433967 = V136567. assign V163909 = V757664 + 1. assign V394470 = V987552 - 1. assign V823345 = V027966 - 1. assign V913457 = V395086. assign V252823 = V593732 + 1. assign V129533 = V216685 - 1. assign V366477 = V035717 - 1. assign V987552 = V137863 - 1. assign V842623 = V027966 - 1. assign V881340 = V588452 + 1. assign V346856 = V147121 - 1. assign V941582 = V232413. assign V801989 = V987552 - 1. assign V466126 = V704096. assign V357311 = V741594. assign V295602 = V075989. assign V059886 = V967945. assign V757664 = V136567 - 1. assign V262798 = V967945 + 1. assign V571471 = V258717 + 1. assign V484867 = V588452 + 1. assign V345975 = V184128 + 1. assign V674206 = V165939 + 1. assign V741594 = V129533 + 1. assign V309058 = V809023 + 1. assign V165939 = V337852 + 1. assign V337852 = V136567 + 1. assign V184128 = V935413 + 1. assign V832321 = V129533 - 1. assign V608011 = V825057. assign V694041 = V147121 - 1. assign V683974 = V395086 + 1. assign V970385 = V765161 + 1. assign V267124 = V137863. assign V099338 = V987552. assign V729024 = V337852 - 1. assign V704096 = V987552. assign V513321 = V216685 + 1. assign V336125 = V147121 + 1. assign V459212 = V129533 - 1. assign V035717 = V459212. assign V588452 = V521716. assign V825057 = V642514 - 1. assign V966583 = V642514. assign V566040 = V704096 - 1. assign V611958 = V484867 - 1. assign V940527 = V683974. assign V309276 = V137863 + 1. assign V400925 = V147121 + 1. assign V696393 = V165939 + 1. assign V765161 = V694041 + 1. assign V104606 = V027966 + 1. assign V781406 = V729024. assign V137863 = V147121 - 1. assign V973669 = V262798 - 1. assign V579739 = V888517. assign V027966 = V216685 + 1. assign V395086 = V147121 - 1. assign V136567 = V694041 + 1. assign V258717 = V987552 - 1. assign V330981 = V842623. assign V523199 = V683974 + 1. assign V232413 = V309368 - 1. assign V657193 = V674206 - 1. assign V642514 = V137863 + 1. assign V935413 = V433967 - 1. assign V660969 = V059886 + 1. assign V402590 = V357311 + 1. assign V800336 = V394470 + 1. assign V239714 = V165939 - 1. assign V262149 = V136567 - 1. assign V964734 = V027966. assign V684796 = V781406 + 1. assign V996240 = V035717. assign V524968 = V996240 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V309368 = V513321 + 1. assign V521716 = V683974. assign V755566 = V684796 + 1. assign V075989 = V940527 - 1. assign V888517 = V099338 + 1. assign V216685 = V267124. assign V854225 = V987552. assign V967945 = V216685 - 1. assign V593732 = V337852. assign V809023 = 1. assign V433967 = V136567. assign V163909 = V757664 + 1. assign V394470 = V987552 - 1. assign V823345 = V027966 - 1. assign V913457 = V395086. assign V252823 = V593732 + 1. assign V129533 = V216685 - 1. assign V366477 = V035717 - 1. assign V987552 = V137863 - 1. assign V842623 = V027966 - 1. assign V881340 = V588452 + 1. assign V346856 = V147121 - 1. assign V941582 = V232413. assign V801989 = V987552 - 1. assign V466126 = V704096. assign V357311 = V741594. assign V295602 = V075989. assign V059886 = V967945. assign V757664 = V136567 - 1. assign V262798 = V967945 + 1. assign V571471 = V258717 + 1. assign V484867 = V588452 + 1. assign V345975 = V184128 + 1. assign V674206 = V165939 + 1. assign V741594 = V129533 + 1. assign V309058 = V809023 + 1. assign V165939 = V337852 + 1. assign V337852 = V136567 + 1. assign V184128 = V935413 + 1. assign V832321 = V129533 - 1. assign V608011 = V825057. assign V694041 = V147121 - 1. assign V683974 = V395086 + 1. assign V970385 = V765161 + 1. assign V267124 = V137863. assign V099338 = V987552. assign V729024 = V337852 - 1. assign V704096 = V987552. assign V513321 = V216685 + 1. assign V336125 = V147121 + 1. assign V459212 = V129533 - 1. assign V035717 = V459212. assign V588452 = V521716. assign V825057 = V642514 - 1. assign V966583 = V642514. assign V566040 = V704096 - 1. assign V611958 = V484867 - 1. assign V940527 = V683974. assign V309276 = V137863 + 1. assign V400925 = V147121 + 1. assign V696393 = V165939 + 1. assign V765161 = V694041 + 1. assign V104606 = V027966 + 1. assign V781406 = V729024. assign V137863 = V147121 - 1. assign V973669 = V262798 - 1. assign V579739 = V888517. assign V027966 = V216685 + 1. assign V395086 = V147121 - 1. assign V136567 = V694041 + 1. assign V258717 = V987552 - 1. assign V330981 = V842623. assign V523199 = V683974 + 1. assign V232413 = V309368 - 1. assign V657193 = V674206 - 1. assign V642514 = V137863 + 1. assign V935413 = V433967 - 1. assign V660969 = V059886 + 1. assign V402590 = V357311 + 1. assign V800336 = V394470 + 1. assign V239714 = V165939 - 1. assign V262149 = V136567 - 1. assign V964734 = V027966. assign V684796 = V781406 + 1. assign V996240 = V035717. assign V524968 = V996240 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV809023 = 1;\n\nFrom these direct assignment(s), we have: \nV309058 = V809023 + 1 = 1 + 1 =2;\nNo other variables can be derived from V309058;\nNo other variables can be derived from V809023;\n\nNow we have done all the calculations. Derived variables are:\nV809023 = 1;\nV309058 = 2;\n\nNow we have finished this problem. ANSWER:\nV809023\n", "role": "assistant" } ]

[ "V705282" ]

[ { "content": "<context>\nassign V834477 = V695376 + 1. assign V933049 = V976455 - 1. assign V738706 = V600986 + 1. assign V137065 = V401231. assign V304936 = V639285. assign V298491 = V639285 + 1. assign V695376 = V600986 + 1. assign V600986 = V639285 + 1. assign V272094 = V230373 - 1. assign V652415 = V940422 - 1. assign V438002 = V431617. assign V288289 = V647812. assign V326315 = V164009 + 1. assign V569967 = V298491 + 1. assign V165377 = V297875. assign V241101 = V297875 + 1. assign V034395 = V546149. assign V401231 = V639285. assign V431033 = V431617. assign V874199 = V405496 + 1. assign V404429 = V358229 + 1. assign V358229 = V691253. assign V889669 = V138471 - 1. assign V405496 = V370431. assign V326046 = V837878 - 1. assign V917123 = V223019 - 1. assign V727101 = V738706 - 1. assign V705282 = 8. assign V406561 = V738706 + 1. assign V563991 = V569967 + 1. assign V146371 = V975990 - 1. assign V164009 = V297875 + 1. assign V026284 = V705282 - 1. assign V673342 = V940422. assign V234600 = V537326 + 1. assign V297875 = V753426 + 1. assign V671181 = V586716 + 1. assign V359700 = V569967 - 1. assign V947025 = V692255. assign V647812 = V401231 + 1. assign V572655 = V304936. assign V594084 = V370431. assign V274921 = V298491 + 1. assign V753426 = V695376 + 1. assign V694956 = V975990. assign V370431 = V685562 - 1. assign V940422 = V738706 + 1. assign V975990 = V569967 - 1. assign V688037 = V326046 + 1. assign V162683 = V438092. assign V094451 = V569967. assign V055782 = V821743 + 1. assign V828635 = V274921 - 1. assign V553577 = V738706 + 1. assign V685562 = V569967. assign V409909 = V165377 - 1. assign V668458 = V510424. assign V438092 = V537326. assign V045790 = V401231 - 1. assign V437613 = V600986 + 1. assign V435905 = V936808. assign V369196 = V874199. assign V355602 = V404429 - 1. assign V419023 = V600986 + 1. assign V537326 = V695376. assign V540228 = V874199 - 1. assign V025983 = V437613. assign V691253 = V546149 + 1. assign V692255 = V230373 - 1. assign V138471 = V297875. assign V510424 = V600986 + 1. assign V809982 = V647812 + 1. assign V936808 = V230373 + 1. assign V289634 = V594084 + 1. assign V013803 = V647812 - 1. assign V837878 = V537326. assign V976455 = V802506 + 1. assign V820832 = V639285. assign V821743 = V298491 - 1. assign V546149 = V802506 + 1. assign V431617 = V223019 - 1. assign V586716 = V537326 + 1. assign V802506 = V753426 + 1. assign V223019 = V288289 - 1. assign V164553 = V695376 + 1. assign V230373 = V165377 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V834477 = V695376 + 1. assign V933049 = V976455 - 1. assign V738706 = V600986 + 1. assign V137065 = V401231. assign V304936 = V639285. assign V298491 = V639285 + 1. assign V695376 = V600986 + 1. assign V600986 = V639285 + 1. assign V272094 = V230373 - 1. assign V652415 = V940422 - 1. assign V438002 = V431617. assign V288289 = V647812. assign V326315 = V164009 + 1. assign V569967 = V298491 + 1. assign V165377 = V297875. assign V241101 = V297875 + 1. assign V034395 = V546149. assign V401231 = V639285. assign V431033 = V431617. assign V874199 = V405496 + 1. assign V404429 = V358229 + 1. assign V358229 = V691253. assign V889669 = V138471 - 1. assign V405496 = V370431. assign V326046 = V837878 - 1. assign V917123 = V223019 - 1. assign V727101 = V738706 - 1. assign V705282 = 8. assign V406561 = V738706 + 1. assign V563991 = V569967 + 1. assign V146371 = V975990 - 1. assign V164009 = V297875 + 1. assign V026284 = V705282 - 1. assign V673342 = V940422. assign V234600 = V537326 + 1. assign V297875 = V753426 + 1. assign V671181 = V586716 + 1. assign V359700 = V569967 - 1. assign V947025 = V692255. assign V647812 = V401231 + 1. assign V572655 = V304936. assign V594084 = V370431. assign V274921 = V298491 + 1. assign V753426 = V695376 + 1. assign V694956 = V975990. assign V370431 = V685562 - 1. assign V940422 = V738706 + 1. assign V975990 = V569967 - 1. assign V688037 = V326046 + 1. assign V162683 = V438092. assign V094451 = V569967. assign V055782 = V821743 + 1. assign V828635 = V274921 - 1. assign V553577 = V738706 + 1. assign V685562 = V569967. assign V409909 = V165377 - 1. assign V668458 = V510424. assign V438092 = V537326. assign V045790 = V401231 - 1. assign V437613 = V600986 + 1. assign V435905 = V936808. assign V369196 = V874199. assign V355602 = V404429 - 1. assign V419023 = V600986 + 1. assign V537326 = V695376. assign V540228 = V874199 - 1. assign V025983 = V437613. assign V691253 = V546149 + 1. assign V692255 = V230373 - 1. assign V138471 = V297875. assign V510424 = V600986 + 1. assign V809982 = V647812 + 1. assign V936808 = V230373 + 1. assign V289634 = V594084 + 1. assign V013803 = V647812 - 1. assign V837878 = V537326. assign V976455 = V802506 + 1. assign V820832 = V639285. assign V821743 = V298491 - 1. assign V546149 = V802506 + 1. assign V431617 = V223019 - 1. assign V586716 = V537326 + 1. assign V802506 = V753426 + 1. assign V223019 = V288289 - 1. assign V164553 = V695376 + 1. assign V230373 = V165377 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV705282 = 8;\n\nFrom these direct assignment(s), we have: \nV026284 = V705282 - 1 = 8 - 1 =7;\nNo other variables can be derived from V026284;\nNo other variables can be derived from V705282;\n\nNow we have done all the calculations. Derived variables are:\nV705282 = 8;\nV026284 = 7;\n\nNow we have finished this problem. ANSWER:\nV705282\n", "role": "assistant" } ]

[ "V887488", "V847238" ]

[ { "content": "<context>\nassign V755602 = V740490 + 1. assign V012187 = V557367 - 1. assign V962669 = V503546 - 1. assign V379986 = V766256. assign V549361 = V376328 - 1. assign V071353 = V477104. assign V740490 = V723284 + 1. assign V887488 = 3. assign V976832 = V048191. assign V346139 = V572814 - 1. assign V733336 = V745921 - 1. assign V941376 = V661305. assign V141392 = V379986 - 1. assign V647285 = V921287 - 1. assign V678705 = V112034 - 1. assign V373510 = V792562 + 1. assign V193280 = V647285. assign V874131 = V312236. assign V847238 = V887488. assign V238328 = V489221. assign V193309 = V057951 - 1. assign V838221 = V733336. assign V597633 = V161484 - 1. assign V539398 = V498543 - 1. assign V283238 = V048191 - 1. assign V503546 = V071353. assign V988603 = V792562 - 1. assign V338173 = V161484 - 1. assign V057951 = V695815 - 1. assign V435186 = V733336 + 1. assign V112034 = V052841. assign V661305 = V974251. assign V563454 = V723284 + 1. assign V698909 = V766256. assign V932681 = V597633 - 1. assign V757569 = V874131 - 1. assign V792562 = V874131 + 1. assign V108727 = V766256 - 1. assign V489221 = V295425 - 1. assign V921287 = V379766. assign V498543 = V733336. assign V881192 = V647285 - 1. assign V572814 = V379766. assign V557537 = V597633 - 1. assign V518230 = V489221. assign V723284 = V572814. assign V052841 = V048191. assign V363137 = V048191 - 1. assign V376328 = V295425. assign V565960 = V026489. assign V148855 = V489221. assign V139547 = V140600 - 1. assign V207584 = V415452. assign V330014 = V363137 - 1. assign V360472 = V974251. assign V163377 = V695815. assign V259470 = V052841 + 1. assign V257290 = V557537 + 1. assign V431706 = V746524 + 1. assign V574893 = V139547. assign V695815 = V110788 - 1. assign V233096 = V874131. assign V242735 = V110788 + 1. assign V974251 = V283238. assign V936170 = V161484 + 1. assign V746524 = V766256. assign V731117 = V563454. assign V839511 = V557537 - 1. assign V557367 = V052841 + 1. assign V161484 = V295425. assign V379766 = V376328. assign V477104 = V379766 - 1. assign V048191 = V148855. assign V128371 = V012187 + 1. assign V842140 = V839511. assign V110788 = V647285 - 1. assign V312236 = V932681. assign V739612 = V597633 - 1. assign V798221 = V012187 + 1. assign V553322 = V238328 + 1. assign V415452 = V549361. assign V766256 = V048191. assign V140600 = V921287 - 1. assign V026489 = V346139 + 1. assign V448405 = V842140 - 1. assign V745921 = V379766 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V755602 = V740490 + 1. assign V012187 = V557367 - 1. assign V962669 = V503546 - 1. assign V379986 = V766256. assign V549361 = V376328 - 1. assign V071353 = V477104. assign V740490 = V723284 + 1. assign V887488 = 3. assign V976832 = V048191. assign V346139 = V572814 - 1. assign V733336 = V745921 - 1. assign V941376 = V661305. assign V141392 = V379986 - 1. assign V647285 = V921287 - 1. assign V678705 = V112034 - 1. assign V373510 = V792562 + 1. assign V193280 = V647285. assign V874131 = V312236. assign V847238 = V887488. assign V238328 = V489221. assign V193309 = V057951 - 1. assign V838221 = V733336. assign V597633 = V161484 - 1. assign V539398 = V498543 - 1. assign V283238 = V048191 - 1. assign V503546 = V071353. assign V988603 = V792562 - 1. assign V338173 = V161484 - 1. assign V057951 = V695815 - 1. assign V435186 = V733336 + 1. assign V112034 = V052841. assign V661305 = V974251. assign V563454 = V723284 + 1. assign V698909 = V766256. assign V932681 = V597633 - 1. assign V757569 = V874131 - 1. assign V792562 = V874131 + 1. assign V108727 = V766256 - 1. assign V489221 = V295425 - 1. assign V921287 = V379766. assign V498543 = V733336. assign V881192 = V647285 - 1. assign V572814 = V379766. assign V557537 = V597633 - 1. assign V518230 = V489221. assign V723284 = V572814. assign V052841 = V048191. assign V363137 = V048191 - 1. assign V376328 = V295425. assign V565960 = V026489. assign V148855 = V489221. assign V139547 = V140600 - 1. assign V207584 = V415452. assign V330014 = V363137 - 1. assign V360472 = V974251. assign V163377 = V695815. assign V259470 = V052841 + 1. assign V257290 = V557537 + 1. assign V431706 = V746524 + 1. assign V574893 = V139547. assign V695815 = V110788 - 1. assign V233096 = V874131. assign V242735 = V110788 + 1. assign V974251 = V283238. assign V936170 = V161484 + 1. assign V746524 = V766256. assign V731117 = V563454. assign V839511 = V557537 - 1. assign V557367 = V052841 + 1. assign V161484 = V295425. assign V379766 = V376328. assign V477104 = V379766 - 1. assign V048191 = V148855. assign V128371 = V012187 + 1. assign V842140 = V839511. assign V110788 = V647285 - 1. assign V312236 = V932681. assign V739612 = V597633 - 1. assign V798221 = V012187 + 1. assign V553322 = V238328 + 1. assign V415452 = V549361. assign V766256 = V048191. assign V140600 = V921287 - 1. assign V026489 = V346139 + 1. assign V448405 = V842140 - 1. assign V745921 = V379766 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV887488 = 3;\n\nFrom these direct assignment(s), we have: \nV847238 = V887488 = 3;\nNo other variables can be derived from V847238;\nNo other variables can be derived from V887488;\n\nNow we have done all the calculations. Derived variables are:\nV887488 = 3;\nV847238 = 3;\n\nNow we have finished this problem. ANSWER:\nV887488, V847238\n", "role": "assistant" } ]

[ "V583343" ]

[ { "content": "<context>\nassign V149822 = V323164 - 1. assign V256115 = V742452 - 1. assign V183072 = 0. assign V585173 = V280595. assign V729882 = V149822 + 1. assign V120583 = V483306 + 1. assign V673185 = V225458. assign V061336 = V288670. assign V634226 = V340476. assign V126347 = V280595 + 1. assign V040587 = V280595 - 1. assign V992602 = V238871 + 1. assign V277177 = V442235 + 1. assign V040703 = V604187 - 1. assign V206016 = V451832 + 1. assign V188264 = V612523 - 1. assign V544558 = V733163 - 1. assign V516512 = V467748. assign V197364 = V805796. assign V746107 = V256115 - 1. assign V323164 = V483306 - 1. assign V742452 = V442235. assign V789549 = V727163 + 1. assign V173436 = V992602 - 1. assign V291403 = V577784 - 1. assign V733163 = V442235 + 1. assign V249603 = V789549. assign V483306 = V241746. assign V932357 = V570730. assign V317770 = V607147 + 1. assign V238871 = V805796 + 1. assign V215888 = V447302 - 1. assign V099982 = V516512 - 1. assign V027438 = V291403 + 1. assign V154875 = V727877 - 1. assign V241746 = V442235 + 1. assign V583343 = V183072 - 1. assign V727877 = V120583. assign V994246 = V277177 - 1. assign V828830 = V188264. assign V510887 = V277177 + 1. assign V055472 = V733163. assign V467748 = V510887 + 1. assign V983185 = V078967. assign V754299 = V277177 - 1. assign V298674 = V504459 + 1. assign V942996 = V447302 + 1. assign V078967 = V120583 + 1. assign V447302 = V504459 + 1. assign V225458 = V055472 - 1. assign V727163 = V510887 + 1. assign V288670 = V206016. assign V069812 = V241746 + 1. assign V404315 = V069812 + 1. assign V364955 = V241746 - 1. assign V138492 = V149822 - 1. assign V188017 = V241746 - 1. assign V805796 = V442235. assign V230976 = V323164. assign V607147 = V727015 + 1. assign V137052 = V823232 - 1. assign V570335 = V323164 - 1. assign V604187 = V120583. assign V627777 = V451832 - 1. assign V577784 = V504459 - 1. assign V612523 = V577784 - 1. assign V475691 = V607147. assign V112861 = V451832 - 1. assign V703778 = V241746 + 1. assign V797340 = V260586 - 1. assign V556396 = V746107 - 1. assign V280595 = V733163 - 1. assign V323102 = V789549. assign V340476 = V585173 - 1. assign V309307 = V241746. assign V727015 = V703778 + 1. assign V451832 = V483306 + 1. assign V823232 = V754299. assign V570730 = V241746 + 1. assign V072036 = V634226 + 1. assign V190123 = V451832 + 1. assign V782416 = V055472 + 1. assign V504459 = V805796 - 1. assign V260586 = V504459 + 1. assign V842411 = V797340 + 1. assign V557140 = V805796 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V149822 = V323164 - 1. assign V256115 = V742452 - 1. assign V183072 = 0. assign V585173 = V280595. assign V729882 = V149822 + 1. assign V120583 = V483306 + 1. assign V673185 = V225458. assign V061336 = V288670. assign V634226 = V340476. assign V126347 = V280595 + 1. assign V040587 = V280595 - 1. assign V992602 = V238871 + 1. assign V277177 = V442235 + 1. assign V040703 = V604187 - 1. assign V206016 = V451832 + 1. assign V188264 = V612523 - 1. assign V544558 = V733163 - 1. assign V516512 = V467748. assign V197364 = V805796. assign V746107 = V256115 - 1. assign V323164 = V483306 - 1. assign V742452 = V442235. assign V789549 = V727163 + 1. assign V173436 = V992602 - 1. assign V291403 = V577784 - 1. assign V733163 = V442235 + 1. assign V249603 = V789549. assign V483306 = V241746. assign V932357 = V570730. assign V317770 = V607147 + 1. assign V238871 = V805796 + 1. assign V215888 = V447302 - 1. assign V099982 = V516512 - 1. assign V027438 = V291403 + 1. assign V154875 = V727877 - 1. assign V241746 = V442235 + 1. assign V583343 = V183072 - 1. assign V727877 = V120583. assign V994246 = V277177 - 1. assign V828830 = V188264. assign V510887 = V277177 + 1. assign V055472 = V733163. assign V467748 = V510887 + 1. assign V983185 = V078967. assign V754299 = V277177 - 1. assign V298674 = V504459 + 1. assign V942996 = V447302 + 1. assign V078967 = V120583 + 1. assign V447302 = V504459 + 1. assign V225458 = V055472 - 1. assign V727163 = V510887 + 1. assign V288670 = V206016. assign V069812 = V241746 + 1. assign V404315 = V069812 + 1. assign V364955 = V241746 - 1. assign V138492 = V149822 - 1. assign V188017 = V241746 - 1. assign V805796 = V442235. assign V230976 = V323164. assign V607147 = V727015 + 1. assign V137052 = V823232 - 1. assign V570335 = V323164 - 1. assign V604187 = V120583. assign V627777 = V451832 - 1. assign V577784 = V504459 - 1. assign V612523 = V577784 - 1. assign V475691 = V607147. assign V112861 = V451832 - 1. assign V703778 = V241746 + 1. assign V797340 = V260586 - 1. assign V556396 = V746107 - 1. assign V280595 = V733163 - 1. assign V323102 = V789549. assign V340476 = V585173 - 1. assign V309307 = V241746. assign V727015 = V703778 + 1. assign V451832 = V483306 + 1. assign V823232 = V754299. assign V570730 = V241746 + 1. assign V072036 = V634226 + 1. assign V190123 = V451832 + 1. assign V782416 = V055472 + 1. assign V504459 = V805796 - 1. assign V260586 = V504459 + 1. assign V842411 = V797340 + 1. assign V557140 = V805796 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV183072 = 0;\n\nFrom these direct assignment(s), we have: \nV583343 = V183072 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V583343;\nNo other variables can be derived from V183072;\n\nNow we have done all the calculations. Derived variables are:\nV183072 = 0;\nV583343 = -1;\n\nNow we have finished this problem. ANSWER:\nV583343\n", "role": "assistant" } ]

[ "V985255", "V210837" ]

[ { "content": "<context>\nassign V714714 = V802638. assign V141147 = V587719 + 1. assign V303884 = V068741. assign V823293 = V959352 - 1. assign V463030 = V306940 + 1. assign V257461 = V320073. assign V307044 = V316404 - 1. assign V803828 = V558069 + 1. assign V068741 = V659205 + 1. assign V370548 = V307044 - 1. assign V532174 = V732775. assign V104645 = V449092. assign V504572 = V823293 - 1. assign V953886 = V307044 - 1. assign V091748 = V950229 + 1. assign V049931 = V217673. assign V340513 = V802638 - 1. assign V558069 = V013649. assign V210837 = V985255. assign V732775 = V587719 + 1. assign V039643 = V354026. assign V324706 = V403453. assign V847042 = V823293. assign V316397 = V015976 - 1. assign V458930 = V403453. assign V379252 = V340513 + 1. assign V954330 = V802638 + 1. assign V690730 = V068741 + 1. assign V217673 = V307044 + 1. assign V234937 = V023183. assign V956756 = V307044 - 1. assign V306940 = V207603 - 1. assign V326430 = V203134 - 1. assign V449092 = V803828 + 1. assign V151623 = V859889. assign V727516 = V151623 + 1. assign V338649 = V833757 - 1. assign V658786 = V307044. assign V606349 = V727516. assign V924777 = V316404 + 1. assign V781295 = V203134. assign V839660 = V803828. assign V203181 = V316404 - 1. assign V467472 = V950229 - 1. assign V403453 = V959352 + 1. assign V347960 = V316397. assign V802638 = V013649 - 1. assign V647626 = V207603 - 1. assign V288908 = V727516 + 1. assign V959352 = V068741. assign V694774 = V354026 + 1. assign V659205 = V316404. assign V354026 = V023183 + 1. assign V887357 = V015976. assign V985255 = 4. assign V826640 = V370548 + 1. assign V833757 = V727516. assign V625743 = V403453 + 1. assign V316404 = V013649 - 1. assign V755853 = V316404 + 1. assign V739861 = V068741 + 1. assign V708430 = V658786 + 1. assign V776977 = V203181. assign V015976 = V203134. assign V731695 = V755853 + 1. assign V729848 = V802638. assign V344572 = V826640 - 1. assign V892845 = V859889 - 1. assign V859889 = V340513 + 1. assign V753424 = V953886 - 1. assign V824711 = V732775 - 1. assign V950229 = V316397 - 1. assign V840382 = V163354 - 1. assign V975418 = V658786 - 1. assign V637527 = V013649. assign V320073 = V307044 + 1. assign V280983 = V340513. assign V013649 = V203134 + 1. assign V920327 = V802638. assign V207603 = V013649 - 1. assign V763293 = V203181. assign V163354 = V859889 + 1. assign V864836 = V163354 - 1. assign V192684 = V781295 + 1. assign V587719 = V013649 + 1. assign V023183 = V015976 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V714714 = V802638. assign V141147 = V587719 + 1. assign V303884 = V068741. assign V823293 = V959352 - 1. assign V463030 = V306940 + 1. assign V257461 = V320073. assign V307044 = V316404 - 1. assign V803828 = V558069 + 1. assign V068741 = V659205 + 1. assign V370548 = V307044 - 1. assign V532174 = V732775. assign V104645 = V449092. assign V504572 = V823293 - 1. assign V953886 = V307044 - 1. assign V091748 = V950229 + 1. assign V049931 = V217673. assign V340513 = V802638 - 1. assign V558069 = V013649. assign V210837 = V985255. assign V732775 = V587719 + 1. assign V039643 = V354026. assign V324706 = V403453. assign V847042 = V823293. assign V316397 = V015976 - 1. assign V458930 = V403453. assign V379252 = V340513 + 1. assign V954330 = V802638 + 1. assign V690730 = V068741 + 1. assign V217673 = V307044 + 1. assign V234937 = V023183. assign V956756 = V307044 - 1. assign V306940 = V207603 - 1. assign V326430 = V203134 - 1. assign V449092 = V803828 + 1. assign V151623 = V859889. assign V727516 = V151623 + 1. assign V338649 = V833757 - 1. assign V658786 = V307044. assign V606349 = V727516. assign V924777 = V316404 + 1. assign V781295 = V203134. assign V839660 = V803828. assign V203181 = V316404 - 1. assign V467472 = V950229 - 1. assign V403453 = V959352 + 1. assign V347960 = V316397. assign V802638 = V013649 - 1. assign V647626 = V207603 - 1. assign V288908 = V727516 + 1. assign V959352 = V068741. assign V694774 = V354026 + 1. assign V659205 = V316404. assign V354026 = V023183 + 1. assign V887357 = V015976. assign V985255 = 4. assign V826640 = V370548 + 1. assign V833757 = V727516. assign V625743 = V403453 + 1. assign V316404 = V013649 - 1. assign V755853 = V316404 + 1. assign V739861 = V068741 + 1. assign V708430 = V658786 + 1. assign V776977 = V203181. assign V015976 = V203134. assign V731695 = V755853 + 1. assign V729848 = V802638. assign V344572 = V826640 - 1. assign V892845 = V859889 - 1. assign V859889 = V340513 + 1. assign V753424 = V953886 - 1. assign V824711 = V732775 - 1. assign V950229 = V316397 - 1. assign V840382 = V163354 - 1. assign V975418 = V658786 - 1. assign V637527 = V013649. assign V320073 = V307044 + 1. assign V280983 = V340513. assign V013649 = V203134 + 1. assign V920327 = V802638. assign V207603 = V013649 - 1. assign V763293 = V203181. assign V163354 = V859889 + 1. assign V864836 = V163354 - 1. assign V192684 = V781295 + 1. assign V587719 = V013649 + 1. assign V023183 = V015976 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV985255 = 4;\n\nFrom these direct assignment(s), we have: \nV210837 = V985255 = 4;\nNo other variables can be derived from V210837;\nNo other variables can be derived from V985255;\n\nNow we have done all the calculations. Derived variables are:\nV985255 = 4;\nV210837 = 4;\n\nNow we have finished this problem. ANSWER:\nV985255, V210837\n", "role": "assistant" } ]

[ "V560239", "V400993" ]

[ { "content": "<context>\nassign V585239 = V603024 - 1. assign V537585 = V300245 + 1. assign V749586 = V642174 + 1. assign V343746 = V069629 - 1. assign V106436 = V069629 + 1. assign V988138 = V478353 - 1. assign V662692 = V960623. assign V840146 = V076349. assign V400993 = V560239. assign V649900 = V841723 - 1. assign V676565 = V841723 + 1. assign V868431 = V937926 - 1. assign V601991 = V580793 - 1. assign V299979 = V187649 + 1. assign V141251 = V930738. assign V477900 = V786083. assign V694716 = V352997 + 1. assign V598327 = V238534 - 1. assign V300915 = V701972. assign V526715 = V629257 - 1. assign V454124 = V187649 - 1. assign V841723 = V478353 + 1. assign V279828 = V232475 + 1. assign V657731 = V580793. assign V696550 = V580793 + 1. assign V690352 = V786083. assign V725007 = V649900 - 1. assign V642174 = V696550 - 1. assign V921613 = V883648 + 1. assign V629257 = V601991 - 1. assign V716096 = V300245 - 1. assign V806751 = V741226 + 1. assign V603024 = V937926. assign V798574 = V324473 + 1. assign V156642 = V694716. assign V238534 = V401152 - 1. assign V963131 = V649900 - 1. assign V653158 = V649900 - 1. assign V556012 = V238534 + 1. assign V738559 = V324473. assign V069629 = V508907 - 1. assign V223890 = V580793. assign V972134 = V299979 + 1. assign V618163 = V454124 + 1. assign V187649 = V694716. assign V673814 = V223890 - 1. assign V300245 = V580793 - 1. assign V461312 = V076349. assign V699658 = V749586. assign V580793 = V508907 + 1. assign V741226 = V618163. assign V585842 = V478353 - 1. assign V515258 = V556012 - 1. assign V786083 = V694716 - 1. assign V130072 = V508907 - 1. assign V478353 = V701972. assign V076349 = V478353. assign V121974 = V786083 + 1. assign V210258 = V076349 - 1. assign V701972 = V069629 - 1. assign V352997 = V701972 - 1. assign V483032 = V508907 - 1. assign V324473 = V508907 - 1. assign V895624 = V300915 + 1. assign V414640 = V617930. assign V977418 = V069629. assign V802596 = V696550 + 1. assign V960623 = V508907 - 1. assign V937926 = V696550 - 1. assign V687733 = V352997 + 1. assign V473000 = V508907 + 1. assign V721186 = V601991 + 1. assign V037988 = V478353 + 1. assign V560239 = 9. assign V232475 = V076349 - 1. assign V940870 = V300245 - 1. assign V721629 = V603024 + 1. assign V865660 = V883648. assign V946569 = V930738. assign V883648 = V716096 - 1. assign V401152 = V895624 - 1. assign V930738 = V106436. assign V220259 = V988138 - 1. assign V861253 = V694716 - 1. assign V617930 = V106436 - 1. assign V759412 = V841723.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V585239 = V603024 - 1. assign V537585 = V300245 + 1. assign V749586 = V642174 + 1. assign V343746 = V069629 - 1. assign V106436 = V069629 + 1. assign V988138 = V478353 - 1. assign V662692 = V960623. assign V840146 = V076349. assign V400993 = V560239. assign V649900 = V841723 - 1. assign V676565 = V841723 + 1. assign V868431 = V937926 - 1. assign V601991 = V580793 - 1. assign V299979 = V187649 + 1. assign V141251 = V930738. assign V477900 = V786083. assign V694716 = V352997 + 1. assign V598327 = V238534 - 1. assign V300915 = V701972. assign V526715 = V629257 - 1. assign V454124 = V187649 - 1. assign V841723 = V478353 + 1. assign V279828 = V232475 + 1. assign V657731 = V580793. assign V696550 = V580793 + 1. assign V690352 = V786083. assign V725007 = V649900 - 1. assign V642174 = V696550 - 1. assign V921613 = V883648 + 1. assign V629257 = V601991 - 1. assign V716096 = V300245 - 1. assign V806751 = V741226 + 1. assign V603024 = V937926. assign V798574 = V324473 + 1. assign V156642 = V694716. assign V238534 = V401152 - 1. assign V963131 = V649900 - 1. assign V653158 = V649900 - 1. assign V556012 = V238534 + 1. assign V738559 = V324473. assign V069629 = V508907 - 1. assign V223890 = V580793. assign V972134 = V299979 + 1. assign V618163 = V454124 + 1. assign V187649 = V694716. assign V673814 = V223890 - 1. assign V300245 = V580793 - 1. assign V461312 = V076349. assign V699658 = V749586. assign V580793 = V508907 + 1. assign V741226 = V618163. assign V585842 = V478353 - 1. assign V515258 = V556012 - 1. assign V786083 = V694716 - 1. assign V130072 = V508907 - 1. assign V478353 = V701972. assign V076349 = V478353. assign V121974 = V786083 + 1. assign V210258 = V076349 - 1. assign V701972 = V069629 - 1. assign V352997 = V701972 - 1. assign V483032 = V508907 - 1. assign V324473 = V508907 - 1. assign V895624 = V300915 + 1. assign V414640 = V617930. assign V977418 = V069629. assign V802596 = V696550 + 1. assign V960623 = V508907 - 1. assign V937926 = V696550 - 1. assign V687733 = V352997 + 1. assign V473000 = V508907 + 1. assign V721186 = V601991 + 1. assign V037988 = V478353 + 1. assign V560239 = 9. assign V232475 = V076349 - 1. assign V940870 = V300245 - 1. assign V721629 = V603024 + 1. assign V865660 = V883648. assign V946569 = V930738. assign V883648 = V716096 - 1. assign V401152 = V895624 - 1. assign V930738 = V106436. assign V220259 = V988138 - 1. assign V861253 = V694716 - 1. assign V617930 = V106436 - 1. assign V759412 = V841723.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV560239 = 9;\n\nFrom these direct assignment(s), we have: \nV400993 = V560239 = 9;\nNo other variables can be derived from V400993;\nNo other variables can be derived from V560239;\n\nNow we have done all the calculations. Derived variables are:\nV560239 = 9;\nV400993 = 9;\n\nNow we have finished this problem. ANSWER:\nV560239, V400993\n", "role": "assistant" } ]

[ "V496381" ]

[ { "content": "<context>\nassign V732241 = V904027. assign V064159 = V034911 + 1. assign V796375 = V414884. assign V162932 = V083800 + 1. assign V745639 = V718805. assign V556918 = V326660 - 1. assign V797908 = V064159 + 1. assign V326921 = V904027 - 1. assign V055580 = V575195 + 1. assign V258064 = V745639 - 1. assign V984073 = V562277 - 1. assign V600730 = V038632 - 1. assign V718805 = V528880 + 1. assign V555319 = V620620 + 1. assign V121171 = V984073 - 1. assign V688570 = V586678 - 1. assign V774485 = V717371. assign V742252 = V031003 + 1. assign V305238 = V717371. assign V412974 = V731042 + 1. assign V793859 = V575195 - 1. assign V307926 = V865021. assign V586678 = V575195 - 1. assign V855359 = V162932. assign V034911 = V717371 + 1. assign V776179 = V742252 + 1. assign V130538 = V823749. assign V161751 = V496381 + 1. assign V294940 = V944181. assign V414884 = V793859 - 1. assign V496381 = 1. assign V470670 = V528880. assign V326660 = V219418. assign V415900 = V562277. assign V282049 = V693611. assign V476775 = V944181. assign V693611 = V169442 - 1. assign V912645 = V712749 + 1. assign V083800 = V774485 - 1. assign V716062 = V944181 + 1. assign V824715 = V294940. assign V196595 = V600730 - 1. assign V931040 = V575195 - 1. assign V038632 = V931040 - 1. assign V823749 = V732241 + 1. assign V611323 = V031003. assign V614498 = V712749 - 1. assign V928521 = V745639. assign V755187 = V931040 + 1. assign V575195 = V939261. assign V201430 = V693611. assign V104632 = V575195 - 1. assign V580867 = V749670 + 1. assign V522885 = V064159 + 1. assign V555104 = V939261 + 1. assign V031003 = V717371 - 1. assign V712749 = V693611 + 1. assign V562277 = V083800 + 1. assign V253688 = V785172 + 1. assign V219418 = V064159 - 1. assign V785172 = V944181 + 1. assign V093476 = V130538. assign V699533 = V793859 - 1. assign V895523 = V562277. assign V659291 = V984073 - 1. assign V239701 = V785172. assign V282582 = V457070 - 1. assign V072021 = V104632 + 1. assign V939261 = V717371 + 1. assign V473464 = V201430 - 1. assign V637432 = V282582 - 1. assign V944181 = V169442 + 1. assign V235294 = V034911 - 1. assign V731042 = V031003 + 1. assign V038948 = V072021 + 1. assign V865021 = V162932. assign V528880 = V904027 - 1. assign V193913 = V451922 - 1. assign V963921 = V307926 + 1. assign V620620 = V774485 + 1. assign V092924 = V219418. assign V904027 = V575195. assign V169442 = V939261 + 1. assign V451922 = V580867 + 1. assign V749670 = V732241 - 1. assign V457070 = V412974.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V732241 = V904027. assign V064159 = V034911 + 1. assign V796375 = V414884. assign V162932 = V083800 + 1. assign V745639 = V718805. assign V556918 = V326660 - 1. assign V797908 = V064159 + 1. assign V326921 = V904027 - 1. assign V055580 = V575195 + 1. assign V258064 = V745639 - 1. assign V984073 = V562277 - 1. assign V600730 = V038632 - 1. assign V718805 = V528880 + 1. assign V555319 = V620620 + 1. assign V121171 = V984073 - 1. assign V688570 = V586678 - 1. assign V774485 = V717371. assign V742252 = V031003 + 1. assign V305238 = V717371. assign V412974 = V731042 + 1. assign V793859 = V575195 - 1. assign V307926 = V865021. assign V586678 = V575195 - 1. assign V855359 = V162932. assign V034911 = V717371 + 1. assign V776179 = V742252 + 1. assign V130538 = V823749. assign V161751 = V496381 + 1. assign V294940 = V944181. assign V414884 = V793859 - 1. assign V496381 = 1. assign V470670 = V528880. assign V326660 = V219418. assign V415900 = V562277. assign V282049 = V693611. assign V476775 = V944181. assign V693611 = V169442 - 1. assign V912645 = V712749 + 1. assign V083800 = V774485 - 1. assign V716062 = V944181 + 1. assign V824715 = V294940. assign V196595 = V600730 - 1. assign V931040 = V575195 - 1. assign V038632 = V931040 - 1. assign V823749 = V732241 + 1. assign V611323 = V031003. assign V614498 = V712749 - 1. assign V928521 = V745639. assign V755187 = V931040 + 1. assign V575195 = V939261. assign V201430 = V693611. assign V104632 = V575195 - 1. assign V580867 = V749670 + 1. assign V522885 = V064159 + 1. assign V555104 = V939261 + 1. assign V031003 = V717371 - 1. assign V712749 = V693611 + 1. assign V562277 = V083800 + 1. assign V253688 = V785172 + 1. assign V219418 = V064159 - 1. assign V785172 = V944181 + 1. assign V093476 = V130538. assign V699533 = V793859 - 1. assign V895523 = V562277. assign V659291 = V984073 - 1. assign V239701 = V785172. assign V282582 = V457070 - 1. assign V072021 = V104632 + 1. assign V939261 = V717371 + 1. assign V473464 = V201430 - 1. assign V637432 = V282582 - 1. assign V944181 = V169442 + 1. assign V235294 = V034911 - 1. assign V731042 = V031003 + 1. assign V038948 = V072021 + 1. assign V865021 = V162932. assign V528880 = V904027 - 1. assign V193913 = V451922 - 1. assign V963921 = V307926 + 1. assign V620620 = V774485 + 1. assign V092924 = V219418. assign V904027 = V575195. assign V169442 = V939261 + 1. assign V451922 = V580867 + 1. assign V749670 = V732241 - 1. assign V457070 = V412974.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV496381 = 1;\n\nFrom these direct assignment(s), we have: \nV161751 = V496381 + 1 = 1 + 1 =2;\nNo other variables can be derived from V161751;\nNo other variables can be derived from V496381;\n\nNow we have done all the calculations. Derived variables are:\nV496381 = 1;\nV161751 = 2;\n\nNow we have finished this problem. ANSWER:\nV496381\n", "role": "assistant" } ]

[ "V788802" ]

[ { "content": "<context>\nassign V007173 = V825657 - 1. assign V566928 = V825657 - 1. assign V009691 = V336054 - 1. assign V857557 = V230893 + 1. assign V109876 = V092599. assign V761716 = V072007 - 1. assign V567249 = V160112. assign V719083 = V681278 - 1. assign V605865 = V029882. assign V145696 = V461514 - 1. assign V654592 = V399703 - 1. assign V290776 = V145696 + 1. assign V690395 = V289191 + 1. assign V203190 = V681278 - 1. assign V768235 = V806144 - 1. assign V582891 = V399703 + 1. assign V545477 = V124242 + 1. assign V493834 = V535954. assign V298647 = V767675 + 1. assign V685242 = V399703 + 1. assign V399703 = V461514 + 1. assign V543958 = V701069. assign V788802 = V580755 - 1. assign V742603 = V124242 + 1. assign V461514 = V681278. assign V032287 = V029882. assign V396146 = V461514. assign V384189 = V009691 + 1. assign V648393 = V009691 + 1. assign V235919 = V665991. assign V134688 = V092599 - 1. assign V717689 = V825657 - 1. assign V897380 = V701069 - 1. assign V133721 = V072007 - 1. assign V782302 = V007173 - 1. assign V258367 = V461514 - 1. assign V960278 = V659051 - 1. assign V072007 = V030778 + 1. assign V806144 = V289191 + 1. assign V264761 = V690395 - 1. assign V024268 = V029882. assign V927565 = V717689. assign V906676 = V230893 + 1. assign V868270 = V005303 - 1. assign V665991 = V897380 + 1. assign V798667 = V659051 + 1. assign V810224 = V005303. assign V025338 = V665991 + 1. assign V042267 = V582891. assign V806743 = V145696. assign V336054 = V742603 + 1. assign V124242 = V681278 + 1. assign V016838 = V399703 + 1. assign V092494 = V927565 - 1. assign V235935 = V134688 - 1. assign V230893 = V665991. assign V029882 = V124242 - 1. assign V622809 = V235919 - 1. assign V289191 = V461514. assign V767675 = V080763 + 1. assign V005303 = V436898. assign V207852 = V767675 - 1. assign V825657 = V850936. assign V744971 = V622809 + 1. assign V160112 = V189893 + 1. assign V772413 = V029882 - 1. assign V716062 = V535954 - 1. assign V616603 = V160112 + 1. assign V850936 = V124242 + 1. assign V389519 = V289191 + 1. assign V535954 = V160112 + 1. assign V043242 = V072007 + 1. assign V277802 = V080763 - 1. assign V681278 = V701069. assign V030778 = V742603. assign V092599 = V654592. assign V580755 = 7. assign V078497 = V025338 + 1. assign V559609 = V025338 + 1. assign V149268 = V230893 + 1. assign V436898 = V665991. assign V782767 = V080763 - 1. assign V659051 = V782767. assign V080763 = V742603 - 1. assign V189893 = V461514. assign V990294 = V396146.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V007173 = V825657 - 1. assign V566928 = V825657 - 1. assign V009691 = V336054 - 1. assign V857557 = V230893 + 1. assign V109876 = V092599. assign V761716 = V072007 - 1. assign V567249 = V160112. assign V719083 = V681278 - 1. assign V605865 = V029882. assign V145696 = V461514 - 1. assign V654592 = V399703 - 1. assign V290776 = V145696 + 1. assign V690395 = V289191 + 1. assign V203190 = V681278 - 1. assign V768235 = V806144 - 1. assign V582891 = V399703 + 1. assign V545477 = V124242 + 1. assign V493834 = V535954. assign V298647 = V767675 + 1. assign V685242 = V399703 + 1. assign V399703 = V461514 + 1. assign V543958 = V701069. assign V788802 = V580755 - 1. assign V742603 = V124242 + 1. assign V461514 = V681278. assign V032287 = V029882. assign V396146 = V461514. assign V384189 = V009691 + 1. assign V648393 = V009691 + 1. assign V235919 = V665991. assign V134688 = V092599 - 1. assign V717689 = V825657 - 1. assign V897380 = V701069 - 1. assign V133721 = V072007 - 1. assign V782302 = V007173 - 1. assign V258367 = V461514 - 1. assign V960278 = V659051 - 1. assign V072007 = V030778 + 1. assign V806144 = V289191 + 1. assign V264761 = V690395 - 1. assign V024268 = V029882. assign V927565 = V717689. assign V906676 = V230893 + 1. assign V868270 = V005303 - 1. assign V665991 = V897380 + 1. assign V798667 = V659051 + 1. assign V810224 = V005303. assign V025338 = V665991 + 1. assign V042267 = V582891. assign V806743 = V145696. assign V336054 = V742603 + 1. assign V124242 = V681278 + 1. assign V016838 = V399703 + 1. assign V092494 = V927565 - 1. assign V235935 = V134688 - 1. assign V230893 = V665991. assign V029882 = V124242 - 1. assign V622809 = V235919 - 1. assign V289191 = V461514. assign V767675 = V080763 + 1. assign V005303 = V436898. assign V207852 = V767675 - 1. assign V825657 = V850936. assign V744971 = V622809 + 1. assign V160112 = V189893 + 1. assign V772413 = V029882 - 1. assign V716062 = V535954 - 1. assign V616603 = V160112 + 1. assign V850936 = V124242 + 1. assign V389519 = V289191 + 1. assign V535954 = V160112 + 1. assign V043242 = V072007 + 1. assign V277802 = V080763 - 1. assign V681278 = V701069. assign V030778 = V742603. assign V092599 = V654592. assign V580755 = 7. assign V078497 = V025338 + 1. assign V559609 = V025338 + 1. assign V149268 = V230893 + 1. assign V436898 = V665991. assign V782767 = V080763 - 1. assign V659051 = V782767. assign V080763 = V742603 - 1. assign V189893 = V461514. assign V990294 = V396146.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV580755 = 7;\n\nFrom these direct assignment(s), we have: \nV788802 = V580755 - 1 = 7 - 1 =6;\nNo other variables can be derived from V788802;\nNo other variables can be derived from V580755;\n\nNow we have done all the calculations. Derived variables are:\nV580755 = 7;\nV788802 = 6;\n\nNow we have finished this problem. ANSWER:\nV788802\n", "role": "assistant" } ]

[ "V935649" ]

[ { "content": "<context>\nassign V850993 = V206376 - 1. assign V017018 = V339946 - 1. assign V339946 = V237847 + 1. assign V367497 = V118826 + 1. assign V208541 = V068057. assign V976576 = V152340 + 1. assign V052465 = V887846 - 1. assign V759563 = V824034 + 1. assign V039913 = V017018. assign V192746 = V327629. assign V416699 = V442944 + 1. assign V442944 = V779567. assign V459222 = V833557 + 1. assign V845121 = V237847 + 1. assign V384094 = V367497. assign V159902 = V473391 + 1. assign V206294 = V237847. assign V905475 = V407584. assign V068057 = V593307. assign V279728 = V459737 + 1. assign V604159 = V118826 + 1. assign V824034 = V393309 - 1. assign V954980 = V845121 - 1. assign V231719 = V956515 - 1. assign V643234 = V716518 - 1. assign V581836 = V854132. assign V421305 = V442944. assign V779567 = V118826 - 1. assign V603071 = V206376 + 1. assign V082102 = V954980 - 1. assign V716518 = V777596. assign V854091 = V082102 + 1. assign V755049 = V696009 - 1. assign V956515 = V593307. assign V639389 = V206294. assign V459737 = V696009 - 1. assign V260089 = V367497. assign V935649 = 5. assign V366483 = V039913. assign V753435 = V039913. assign V652369 = V017018 + 1. assign V166424 = V207985 - 1. assign V207985 = V854132. assign V068046 = V845121 + 1. assign V407584 = V052465. assign V870866 = V458841 - 1. assign V790658 = V887846. assign V887846 = V473391. assign V173289 = V068057 - 1. assign V833557 = V393309 + 1. assign V350080 = V352452 + 1. assign V675818 = V052152. assign V393309 = V339946. assign V878305 = V905475. assign V327629 = V604159. assign V947754 = V052465 + 1. assign V207079 = V039913 - 1. assign V854132 = V976576 + 1. assign V696009 = V339946 - 1. assign V713775 = V833557 - 1. assign V646770 = V713775 + 1. assign V777596 = V954980 + 1. assign V831291 = V833557 + 1. assign V836359 = V675818 + 1. assign V929061 = V206294 + 1. assign V864652 = V407584 + 1. assign V458841 = V713775 - 1. assign V007123 = V593307 - 1. assign V206376 = V473391 - 1. assign V352452 = V279728 - 1. assign V800230 = V639389. assign V519689 = V887846 + 1. assign V659931 = V421305 - 1. assign V554113 = V017018 + 1. assign V440873 = V210936 - 1. assign V887469 = V790658 + 1. assign V052152 = V393309 - 1. assign V210936 = V824034 - 1. assign V652275 = V845121 + 1. assign V959656 = V421305. assign V799407 = V935649 - 1. assign V118826 = V039913 + 1. assign V152340 = V237847 + 1. assign V473391 = V954980. assign V546389 = V755049 + 1. assign V593307 = V237847 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V850993 = V206376 - 1. assign V017018 = V339946 - 1. assign V339946 = V237847 + 1. assign V367497 = V118826 + 1. assign V208541 = V068057. assign V976576 = V152340 + 1. assign V052465 = V887846 - 1. assign V759563 = V824034 + 1. assign V039913 = V017018. assign V192746 = V327629. assign V416699 = V442944 + 1. assign V442944 = V779567. assign V459222 = V833557 + 1. assign V845121 = V237847 + 1. assign V384094 = V367497. assign V159902 = V473391 + 1. assign V206294 = V237847. assign V905475 = V407584. assign V068057 = V593307. assign V279728 = V459737 + 1. assign V604159 = V118826 + 1. assign V824034 = V393309 - 1. assign V954980 = V845121 - 1. assign V231719 = V956515 - 1. assign V643234 = V716518 - 1. assign V581836 = V854132. assign V421305 = V442944. assign V779567 = V118826 - 1. assign V603071 = V206376 + 1. assign V082102 = V954980 - 1. assign V716518 = V777596. assign V854091 = V082102 + 1. assign V755049 = V696009 - 1. assign V956515 = V593307. assign V639389 = V206294. assign V459737 = V696009 - 1. assign V260089 = V367497. assign V935649 = 5. assign V366483 = V039913. assign V753435 = V039913. assign V652369 = V017018 + 1. assign V166424 = V207985 - 1. assign V207985 = V854132. assign V068046 = V845121 + 1. assign V407584 = V052465. assign V870866 = V458841 - 1. assign V790658 = V887846. assign V887846 = V473391. assign V173289 = V068057 - 1. assign V833557 = V393309 + 1. assign V350080 = V352452 + 1. assign V675818 = V052152. assign V393309 = V339946. assign V878305 = V905475. assign V327629 = V604159. assign V947754 = V052465 + 1. assign V207079 = V039913 - 1. assign V854132 = V976576 + 1. assign V696009 = V339946 - 1. assign V713775 = V833557 - 1. assign V646770 = V713775 + 1. assign V777596 = V954980 + 1. assign V831291 = V833557 + 1. assign V836359 = V675818 + 1. assign V929061 = V206294 + 1. assign V864652 = V407584 + 1. assign V458841 = V713775 - 1. assign V007123 = V593307 - 1. assign V206376 = V473391 - 1. assign V352452 = V279728 - 1. assign V800230 = V639389. assign V519689 = V887846 + 1. assign V659931 = V421305 - 1. assign V554113 = V017018 + 1. assign V440873 = V210936 - 1. assign V887469 = V790658 + 1. assign V052152 = V393309 - 1. assign V210936 = V824034 - 1. assign V652275 = V845121 + 1. assign V959656 = V421305. assign V799407 = V935649 - 1. assign V118826 = V039913 + 1. assign V152340 = V237847 + 1. assign V473391 = V954980. assign V546389 = V755049 + 1. assign V593307 = V237847 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV935649 = 5;\n\nFrom these direct assignment(s), we have: \nV799407 = V935649 - 1 = 5 - 1 =4;\nNo other variables can be derived from V799407;\nNo other variables can be derived from V935649;\n\nNow we have done all the calculations. Derived variables are:\nV935649 = 5;\nV799407 = 4;\n\nNow we have finished this problem. ANSWER:\nV935649\n", "role": "assistant" } ]

[ "V512099" ]

[ { "content": "<context>\nassign V694121 = V756044 - 1. assign V424930 = V678950 + 1. assign V268069 = V373075 + 1. assign V828267 = V004463. assign V428168 = V756044 - 1. assign V821023 = V603740 + 1. assign V257675 = V626091 - 1. assign V711197 = V730560 + 1. assign V517591 = V067140 + 1. assign V883485 = V376774 + 1. assign V406255 = V428168 - 1. assign V662994 = V508480. assign V623213 = V067140 + 1. assign V940288 = V522896 - 1. assign V168314 = V922870 + 1. assign V225204 = V678950 - 1. assign V603067 = V509051. assign V532401 = 0. assign V526958 = V370633 + 1. assign V555744 = V664897 - 1. assign V462734 = V678950. assign V760858 = V284900 - 1. assign V513946 = V900676. assign V606293 = V067140 - 1. assign V164210 = V539756. assign V370633 = V756044 + 1. assign V382956 = V004463 + 1. assign V739665 = V701577. assign V395556 = V373075 + 1. assign V900676 = V730560 + 1. assign V354685 = V067140 - 1. assign V722751 = V942674. assign V756044 = V878685 + 1. assign V355817 = V623213 - 1. assign V098444 = V462734 - 1. assign V865534 = V878685. assign V959546 = V828267. assign V058989 = V828267 - 1. assign V600822 = V828267 - 1. assign V240690 = V058989 + 1. assign V405396 = V526958 + 1. assign V025198 = V395556 + 1. assign V508480 = V067140 + 1. assign V338728 = V067140. assign V772701 = V267997 - 1. assign V754413 = V865534. assign V762334 = V025198. assign V202232 = V662994 - 1. assign V299714 = V756044. assign V453974 = V828267 - 1. assign V651208 = V058989 + 1. assign V184642 = V664897 + 1. assign V678950 = V373075. assign V922870 = V395556 + 1. assign V552651 = V555744 - 1. assign V539756 = V376774 - 1. assign V282528 = V603740 + 1. assign V267997 = V864553 - 1. assign V921983 = V373075 + 1. assign V696909 = V405396. assign V943052 = V756044 + 1. assign V509051 = V267997 + 1. assign V664897 = V373075 - 1. assign V603740 = V878685. assign V080122 = V711197 + 1. assign V178984 = V282528. assign V701577 = V382956 - 1. assign V004463 = V694121 + 1. assign V534885 = V354685 - 1. assign V626091 = V555744. assign V746354 = V883485. assign V482864 = V534885. assign V360729 = V865534 + 1. assign V522896 = V603740 - 1. assign V512099 = V532401 + 1. assign V864553 = V878685 - 1. assign V826261 = V067140. assign V376774 = V373075. assign V794859 = V382956. assign V942674 = V240690. assign V284900 = V268069. assign V730049 = V754413. assign V730560 = V522896. assign V373075 = V878685 + 1. assign V067140 = V373075 + 1. assign V497803 = V711197 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V694121 = V756044 - 1. assign V424930 = V678950 + 1. assign V268069 = V373075 + 1. assign V828267 = V004463. assign V428168 = V756044 - 1. assign V821023 = V603740 + 1. assign V257675 = V626091 - 1. assign V711197 = V730560 + 1. assign V517591 = V067140 + 1. assign V883485 = V376774 + 1. assign V406255 = V428168 - 1. assign V662994 = V508480. assign V623213 = V067140 + 1. assign V940288 = V522896 - 1. assign V168314 = V922870 + 1. assign V225204 = V678950 - 1. assign V603067 = V509051. assign V532401 = 0. assign V526958 = V370633 + 1. assign V555744 = V664897 - 1. assign V462734 = V678950. assign V760858 = V284900 - 1. assign V513946 = V900676. assign V606293 = V067140 - 1. assign V164210 = V539756. assign V370633 = V756044 + 1. assign V382956 = V004463 + 1. assign V739665 = V701577. assign V395556 = V373075 + 1. assign V900676 = V730560 + 1. assign V354685 = V067140 - 1. assign V722751 = V942674. assign V756044 = V878685 + 1. assign V355817 = V623213 - 1. assign V098444 = V462734 - 1. assign V865534 = V878685. assign V959546 = V828267. assign V058989 = V828267 - 1. assign V600822 = V828267 - 1. assign V240690 = V058989 + 1. assign V405396 = V526958 + 1. assign V025198 = V395556 + 1. assign V508480 = V067140 + 1. assign V338728 = V067140. assign V772701 = V267997 - 1. assign V754413 = V865534. assign V762334 = V025198. assign V202232 = V662994 - 1. assign V299714 = V756044. assign V453974 = V828267 - 1. assign V651208 = V058989 + 1. assign V184642 = V664897 + 1. assign V678950 = V373075. assign V922870 = V395556 + 1. assign V552651 = V555744 - 1. assign V539756 = V376774 - 1. assign V282528 = V603740 + 1. assign V267997 = V864553 - 1. assign V921983 = V373075 + 1. assign V696909 = V405396. assign V943052 = V756044 + 1. assign V509051 = V267997 + 1. assign V664897 = V373075 - 1. assign V603740 = V878685. assign V080122 = V711197 + 1. assign V178984 = V282528. assign V701577 = V382956 - 1. assign V004463 = V694121 + 1. assign V534885 = V354685 - 1. assign V626091 = V555744. assign V746354 = V883485. assign V482864 = V534885. assign V360729 = V865534 + 1. assign V522896 = V603740 - 1. assign V512099 = V532401 + 1. assign V864553 = V878685 - 1. assign V826261 = V067140. assign V376774 = V373075. assign V794859 = V382956. assign V942674 = V240690. assign V284900 = V268069. assign V730049 = V754413. assign V730560 = V522896. assign V373075 = V878685 + 1. assign V067140 = V373075 + 1. assign V497803 = V711197 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV532401 = 0;\n\nFrom these direct assignment(s), we have: \nV512099 = V532401 + 1 = 0 + 1 =1;\nNo other variables can be derived from V512099;\nNo other variables can be derived from V532401;\n\nNow we have done all the calculations. Derived variables are:\nV532401 = 0;\nV512099 = 1;\n\nNow we have finished this problem. ANSWER:\nV512099\n", "role": "assistant" } ]

[ "V027758" ]

[ { "content": "<context>\nassign V465581 = V718299 + 1. assign V203588 = V624038 - 1. assign V702063 = V027758 - 1. assign V776068 = V203588 + 1. assign V681800 = V563792 - 1. assign V260297 = V387335. assign V661981 = V562292 - 1. assign V797409 = V504317 - 1. assign V891506 = V177693. assign V410878 = V836693 - 1. assign V424189 = V392276 + 1. assign V484604 = V274326 - 1. assign V009697 = V666542. assign V836693 = V618797 + 1. assign V375324 = V392276 - 1. assign V562292 = V848696. assign V691060 = V392276 - 1. assign V848153 = V899445 + 1. assign V439125 = V891506 - 1. assign V793025 = V009697. assign V249688 = V302100 + 1. assign V167133 = V563792. assign V504317 = V272837. assign V272837 = V009697 + 1. assign V946472 = V718299 - 1. assign V001547 = V167133. assign V961844 = V563792. assign V899445 = V392276. assign V666542 = V387335 - 1. assign V434333 = V330173 + 1. assign V573645 = V716700 - 1. assign V193771 = V848696 + 1. assign V708572 = V272837 + 1. assign V976137 = V961844 + 1. assign V520111 = V392276. assign V716700 = V520111. assign V330173 = V177693 + 1. assign V511877 = V899445 + 1. assign V776396 = V387335 + 1. assign V551037 = V666542 + 1. assign V059286 = V776068 - 1. assign V200263 = V467006. assign V928294 = V899445 - 1. assign V854092 = V444410 - 1. assign V444410 = V392276 + 1. assign V768229 = V562292. assign V301032 = V776396 + 1. assign V432869 = V009697. assign V501137 = V520111 - 1. assign V026263 = V776068 - 1. assign V392347 = V200263 - 1. assign V846288 = V854092 - 1. assign V004380 = V203588 + 1. assign V302100 = V434333. assign V633189 = V899445. assign V618797 = V976137 - 1. assign V467006 = V848696 + 1. assign V072408 = V891506. assign V280851 = V026263. assign V122574 = V072408 + 1. assign V027758 = 0. assign V758234 = V444410 + 1. assign V042929 = V758234 - 1. assign V875826 = V891506 - 1. assign V634748 = V392276 - 1. assign V702926 = V484604 - 1. assign V283355 = V026263 - 1. assign V624038 = V961844. assign V153611 = V467006 - 1. assign V724598 = V465581 - 1. assign V625842 = V059286 - 1. assign V736533 = V946472 + 1. assign V274326 = V848696. assign V541613 = V854092 - 1. assign V979355 = V836693 + 1. assign V055383 = V848153 - 1. assign V848696 = V424189 - 1. assign V387335 = V392276. assign V563792 = V177693 + 1. assign V226483 = V274326 - 1. assign V299384 = V511877. assign V907512 = V563792 + 1. assign V112195 = V793025. assign V718299 = V504317. assign V842376 = V776068 - 1. assign V392276 = V891506.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V465581 = V718299 + 1. assign V203588 = V624038 - 1. assign V702063 = V027758 - 1. assign V776068 = V203588 + 1. assign V681800 = V563792 - 1. assign V260297 = V387335. assign V661981 = V562292 - 1. assign V797409 = V504317 - 1. assign V891506 = V177693. assign V410878 = V836693 - 1. assign V424189 = V392276 + 1. assign V484604 = V274326 - 1. assign V009697 = V666542. assign V836693 = V618797 + 1. assign V375324 = V392276 - 1. assign V562292 = V848696. assign V691060 = V392276 - 1. assign V848153 = V899445 + 1. assign V439125 = V891506 - 1. assign V793025 = V009697. assign V249688 = V302100 + 1. assign V167133 = V563792. assign V504317 = V272837. assign V272837 = V009697 + 1. assign V946472 = V718299 - 1. assign V001547 = V167133. assign V961844 = V563792. assign V899445 = V392276. assign V666542 = V387335 - 1. assign V434333 = V330173 + 1. assign V573645 = V716700 - 1. assign V193771 = V848696 + 1. assign V708572 = V272837 + 1. assign V976137 = V961844 + 1. assign V520111 = V392276. assign V716700 = V520111. assign V330173 = V177693 + 1. assign V511877 = V899445 + 1. assign V776396 = V387335 + 1. assign V551037 = V666542 + 1. assign V059286 = V776068 - 1. assign V200263 = V467006. assign V928294 = V899445 - 1. assign V854092 = V444410 - 1. assign V444410 = V392276 + 1. assign V768229 = V562292. assign V301032 = V776396 + 1. assign V432869 = V009697. assign V501137 = V520111 - 1. assign V026263 = V776068 - 1. assign V392347 = V200263 - 1. assign V846288 = V854092 - 1. assign V004380 = V203588 + 1. assign V302100 = V434333. assign V633189 = V899445. assign V618797 = V976137 - 1. assign V467006 = V848696 + 1. assign V072408 = V891506. assign V280851 = V026263. assign V122574 = V072408 + 1. assign V027758 = 0. assign V758234 = V444410 + 1. assign V042929 = V758234 - 1. assign V875826 = V891506 - 1. assign V634748 = V392276 - 1. assign V702926 = V484604 - 1. assign V283355 = V026263 - 1. assign V624038 = V961844. assign V153611 = V467006 - 1. assign V724598 = V465581 - 1. assign V625842 = V059286 - 1. assign V736533 = V946472 + 1. assign V274326 = V848696. assign V541613 = V854092 - 1. assign V979355 = V836693 + 1. assign V055383 = V848153 - 1. assign V848696 = V424189 - 1. assign V387335 = V392276. assign V563792 = V177693 + 1. assign V226483 = V274326 - 1. assign V299384 = V511877. assign V907512 = V563792 + 1. assign V112195 = V793025. assign V718299 = V504317. assign V842376 = V776068 - 1. assign V392276 = V891506.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV027758 = 0;\n\nFrom these direct assignment(s), we have: \nV702063 = V027758 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V702063;\nNo other variables can be derived from V027758;\n\nNow we have done all the calculations. Derived variables are:\nV027758 = 0;\nV702063 = -1;\n\nNow we have finished this problem. ANSWER:\nV027758\n", "role": "assistant" } ]

[ "V290804", "V567119" ]

[ { "content": "<context>\nassign V790382 = V224516 + 1. assign V276639 = V844343. assign V567119 = V290804. assign V916278 = V843880 + 1. assign V404615 = V872280 + 1. assign V982673 = V527528. assign V130491 = V046415 + 1. assign V031326 = V678337 - 1. assign V661077 = V146201 + 1. assign V929141 = V221086. assign V293803 = V404615 + 1. assign V321709 = V434033 + 1. assign V087526 = V221086 - 1. assign V991108 = V790382. assign V212941 = V581278. assign V805775 = V843192. assign V558993 = V414837 + 1. assign V762990 = V455716. assign V016175 = V762990 + 1. assign V776945 = V224516 - 1. assign V142643 = V455716. assign V872280 = V578055 - 1. assign V046415 = V929141. assign V214059 = V929141. assign V185688 = V669895 - 1. assign V717107 = V434033 - 1. assign V414837 = V527528. assign V887873 = V762327 + 1. assign V298317 = V762327 + 1. assign V670099 = V224516 - 1. assign V455716 = V843880 + 1. assign V007290 = V130491 - 1. assign V290804 = 5. assign V581278 = V434033 + 1. assign V266123 = V221086 + 1. assign V233332 = V016175 + 1. assign V361966 = V661077 - 1. assign V844343 = V843192 + 1. assign V876486 = V130491. assign V919104 = V876486. assign V879256 = V298317. assign V630350 = V558993. assign V294969 = V334510. assign V185319 = V655889 - 1. assign V138229 = V581278 - 1. assign V363822 = V661077. assign V808254 = V455716 + 1. assign V843192 = V221086 - 1. assign V464735 = V414837 - 1. assign V578055 = V434033 + 1. assign V153394 = V844343 - 1. assign V500262 = V298317. assign V840010 = V434033. assign V845573 = V455716. assign V655889 = V046415 + 1. assign V054473 = V221086. assign V190918 = V130491 - 1. assign V762327 = V334510 - 1. assign V678337 = V845573. assign V434033 = V929141 - 1. assign V074681 = V031326. assign V221086 = V527528 + 1. assign V620436 = V808254 - 1. assign V960609 = V016175 - 1. assign V806783 = V670099 - 1. assign V160544 = V919104 - 1. assign V669895 = V130491 + 1. assign V659353 = V706852 - 1. assign V882047 = V558993 + 1. assign V146201 = V221086. assign V756819 = V806783 + 1. assign V567066 = V762327 - 1. assign V516232 = V661077 + 1. assign V843880 = V929141 + 1. assign V224516 = V221086 - 1. assign V334510 = V455716 + 1. assign V817313 = V516232 + 1. assign V379597 = V843880 - 1. assign V407639 = V982673 - 1. assign V327327 = V414837. assign V901802 = V982673. assign V706852 = V669895 - 1. assign V022627 = V527528 - 1. assign V942196 = V776945 + 1. assign V317296 = V840010. assign V467158 = V581278 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V790382 = V224516 + 1. assign V276639 = V844343. assign V567119 = V290804. assign V916278 = V843880 + 1. assign V404615 = V872280 + 1. assign V982673 = V527528. assign V130491 = V046415 + 1. assign V031326 = V678337 - 1. assign V661077 = V146201 + 1. assign V929141 = V221086. assign V293803 = V404615 + 1. assign V321709 = V434033 + 1. assign V087526 = V221086 - 1. assign V991108 = V790382. assign V212941 = V581278. assign V805775 = V843192. assign V558993 = V414837 + 1. assign V762990 = V455716. assign V016175 = V762990 + 1. assign V776945 = V224516 - 1. assign V142643 = V455716. assign V872280 = V578055 - 1. assign V046415 = V929141. assign V214059 = V929141. assign V185688 = V669895 - 1. assign V717107 = V434033 - 1. assign V414837 = V527528. assign V887873 = V762327 + 1. assign V298317 = V762327 + 1. assign V670099 = V224516 - 1. assign V455716 = V843880 + 1. assign V007290 = V130491 - 1. assign V290804 = 5. assign V581278 = V434033 + 1. assign V266123 = V221086 + 1. assign V233332 = V016175 + 1. assign V361966 = V661077 - 1. assign V844343 = V843192 + 1. assign V876486 = V130491. assign V919104 = V876486. assign V879256 = V298317. assign V630350 = V558993. assign V294969 = V334510. assign V185319 = V655889 - 1. assign V138229 = V581278 - 1. assign V363822 = V661077. assign V808254 = V455716 + 1. assign V843192 = V221086 - 1. assign V464735 = V414837 - 1. assign V578055 = V434033 + 1. assign V153394 = V844343 - 1. assign V500262 = V298317. assign V840010 = V434033. assign V845573 = V455716. assign V655889 = V046415 + 1. assign V054473 = V221086. assign V190918 = V130491 - 1. assign V762327 = V334510 - 1. assign V678337 = V845573. assign V434033 = V929141 - 1. assign V074681 = V031326. assign V221086 = V527528 + 1. assign V620436 = V808254 - 1. assign V960609 = V016175 - 1. assign V806783 = V670099 - 1. assign V160544 = V919104 - 1. assign V669895 = V130491 + 1. assign V659353 = V706852 - 1. assign V882047 = V558993 + 1. assign V146201 = V221086. assign V756819 = V806783 + 1. assign V567066 = V762327 - 1. assign V516232 = V661077 + 1. assign V843880 = V929141 + 1. assign V224516 = V221086 - 1. assign V334510 = V455716 + 1. assign V817313 = V516232 + 1. assign V379597 = V843880 - 1. assign V407639 = V982673 - 1. assign V327327 = V414837. assign V901802 = V982673. assign V706852 = V669895 - 1. assign V022627 = V527528 - 1. assign V942196 = V776945 + 1. assign V317296 = V840010. assign V467158 = V581278 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV290804 = 5;\n\nFrom these direct assignment(s), we have: \nV567119 = V290804 = 5;\nNo other variables can be derived from V567119;\nNo other variables can be derived from V290804;\n\nNow we have done all the calculations. Derived variables are:\nV290804 = 5;\nV567119 = 5;\n\nNow we have finished this problem. ANSWER:\nV290804, V567119\n", "role": "assistant" } ]

[ "V522479" ]

[ { "content": "<context>\nassign V522479 = V860389 - 1. assign V766049 = V187946. assign V354454 = V892196 + 1. assign V148820 = V378475 - 1. assign V451966 = V201453 - 1. assign V475458 = V132020 + 1. assign V113116 = V113066 + 1. assign V466538 = V263186 - 1. assign V657792 = V378475 - 1. assign V831594 = V128041 + 1. assign V763375 = V078099 + 1. assign V078099 = V364072 - 1. assign V514040 = V752233 + 1. assign V110421 = V237453. assign V752233 = V551231 - 1. assign V132020 = V766734 + 1. assign V996914 = V165493 + 1. assign V342370 = V769040 + 1. assign V237453 = V128041 - 1. assign V584669 = V192385 - 1. assign V614457 = V766049 - 1. assign V267450 = V870163 - 1. assign V950158 = V788640. assign V897774 = V766049. assign V661277 = V165493 - 1. assign V752673 = V724969 + 1. assign V115999 = V110421 + 1. assign V994193 = V165493. assign V571601 = V703087. assign V456415 = V378475 - 1. assign V568530 = V566935 + 1. assign V126097 = V389929 - 1. assign V266668 = V057407. assign V551231 = V113066. assign V263186 = V950158. assign V566935 = V661277 + 1. assign V161936 = V128041 - 1. assign V870163 = V870139 + 1. assign V804941 = V905761 - 1. assign V749966 = V451966. assign V724969 = V165493 - 1. assign V870139 = V113066 - 1. assign V883686 = V893236. assign V057407 = V566935. assign V697976 = V867958. assign V719256 = V955228 + 1. assign V955228 = V110421. assign V981232 = V128041 + 1. assign V187946 = V950158 - 1. assign V295980 = V266668 + 1. assign V391157 = V571601. assign V766734 = V994193 - 1. assign V250491 = V661277 + 1. assign V226064 = V566935 + 1. assign V113066 = V165493. assign V769040 = V364072 + 1. assign V693107 = V493623 - 1. assign V788640 = V551231 - 1. assign V860389 = 2. assign V051870 = V295980 - 1. assign V165493 = V128041 - 1. assign V569587 = V237453 - 1. assign V107876 = V226064. assign V560140 = V870139 - 1. assign V892196 = V132020 + 1. assign V748594 = V950158 - 1. assign V340982 = V657792 - 1. assign V020802 = V354454 + 1. assign V042393 = V389929. assign V192385 = V831594 - 1. assign V981779 = V354454 - 1. assign V614562 = V994193. assign V364072 = V994193 - 1. assign V592168 = V110421. assign V017846 = V892196 - 1. assign V703087 = V475458 + 1. assign V389929 = V994193. assign V493623 = V132020 - 1. assign V865490 = V493623. assign V867958 = V870163. assign V637118 = V981779. assign V201453 = V996914 - 1. assign V893236 = V128041 - 1. assign V196103 = V110421. assign V905761 = V551231 + 1. assign V378475 = V237453 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V522479 = V860389 - 1. assign V766049 = V187946. assign V354454 = V892196 + 1. assign V148820 = V378475 - 1. assign V451966 = V201453 - 1. assign V475458 = V132020 + 1. assign V113116 = V113066 + 1. assign V466538 = V263186 - 1. assign V657792 = V378475 - 1. assign V831594 = V128041 + 1. assign V763375 = V078099 + 1. assign V078099 = V364072 - 1. assign V514040 = V752233 + 1. assign V110421 = V237453. assign V752233 = V551231 - 1. assign V132020 = V766734 + 1. assign V996914 = V165493 + 1. assign V342370 = V769040 + 1. assign V237453 = V128041 - 1. assign V584669 = V192385 - 1. assign V614457 = V766049 - 1. assign V267450 = V870163 - 1. assign V950158 = V788640. assign V897774 = V766049. assign V661277 = V165493 - 1. assign V752673 = V724969 + 1. assign V115999 = V110421 + 1. assign V994193 = V165493. assign V571601 = V703087. assign V456415 = V378475 - 1. assign V568530 = V566935 + 1. assign V126097 = V389929 - 1. assign V266668 = V057407. assign V551231 = V113066. assign V263186 = V950158. assign V566935 = V661277 + 1. assign V161936 = V128041 - 1. assign V870163 = V870139 + 1. assign V804941 = V905761 - 1. assign V749966 = V451966. assign V724969 = V165493 - 1. assign V870139 = V113066 - 1. assign V883686 = V893236. assign V057407 = V566935. assign V697976 = V867958. assign V719256 = V955228 + 1. assign V955228 = V110421. assign V981232 = V128041 + 1. assign V187946 = V950158 - 1. assign V295980 = V266668 + 1. assign V391157 = V571601. assign V766734 = V994193 - 1. assign V250491 = V661277 + 1. assign V226064 = V566935 + 1. assign V113066 = V165493. assign V769040 = V364072 + 1. assign V693107 = V493623 - 1. assign V788640 = V551231 - 1. assign V860389 = 2. assign V051870 = V295980 - 1. assign V165493 = V128041 - 1. assign V569587 = V237453 - 1. assign V107876 = V226064. assign V560140 = V870139 - 1. assign V892196 = V132020 + 1. assign V748594 = V950158 - 1. assign V340982 = V657792 - 1. assign V020802 = V354454 + 1. assign V042393 = V389929. assign V192385 = V831594 - 1. assign V981779 = V354454 - 1. assign V614562 = V994193. assign V364072 = V994193 - 1. assign V592168 = V110421. assign V017846 = V892196 - 1. assign V703087 = V475458 + 1. assign V389929 = V994193. assign V493623 = V132020 - 1. assign V865490 = V493623. assign V867958 = V870163. assign V637118 = V981779. assign V201453 = V996914 - 1. assign V893236 = V128041 - 1. assign V196103 = V110421. assign V905761 = V551231 + 1. assign V378475 = V237453 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV860389 = 2;\n\nFrom these direct assignment(s), we have: \nV522479 = V860389 - 1 = 2 - 1 =1;\nNo other variables can be derived from V522479;\nNo other variables can be derived from V860389;\n\nNow we have done all the calculations. Derived variables are:\nV860389 = 2;\nV522479 = 1;\n\nNow we have finished this problem. ANSWER:\nV522479\n", "role": "assistant" } ]

[ "V303350", "V613005" ]

[ { "content": "<context>\nassign V158163 = V370505. assign V260353 = V219033 + 1. assign V087880 = V229969. assign V078425 = V846101. assign V339222 = V547875 - 1. assign V686772 = V260353 + 1. assign V367229 = V768053 - 1. assign V880487 = V367229. assign V882629 = V248593 - 1. assign V303350 = 9. assign V196277 = V420462 + 1. assign V118889 = V968375 + 1. assign V451310 = V219033 + 1. assign V120002 = V370505 + 1. assign V228221 = V769987 + 1. assign V530772 = V547875 - 1. assign V822922 = V873119 - 1. assign V107922 = V118889. assign V903230 = V873119 - 1. assign V537110 = V537348 - 1. assign V229969 = V903230. assign V182851 = V873119 - 1. assign V047432 = V809561 + 1. assign V391591 = V903230 + 1. assign V747474 = V087880 - 1. assign V663600 = V182851 - 1. assign V809561 = V867063. assign V484761 = V087880 + 1. assign V732867 = V231550 - 1. assign V606542 = V024875 - 1. assign V968375 = V796039 + 1. assign V524010 = V047432 - 1. assign V770089 = V381701 - 1. assign V245009 = V768053 + 1. assign V068361 = V167425. assign V203177 = V201072 - 1. assign V547875 = V783578 + 1. assign V231550 = V033111 - 1. assign V479225 = V245009. assign V930526 = V033111. assign V560729 = V101983. assign V325495 = V783578 - 1. assign V071838 = V710202. assign V110705 = V201072 + 1. assign V710202 = V101983 - 1. assign V201072 = V071838 - 1. assign V917082 = V846101. assign V194525 = V260353 + 1. assign V201465 = V867063 + 1. assign V270061 = V231550 + 1. assign V846101 = V867063. assign V873119 = V325495. assign V024875 = V873119. assign V219033 = V339222 + 1. assign V769987 = V229969. assign V603670 = V219033. assign V783578 = V101983. assign V164278 = V167425 + 1. assign V613005 = V303350. assign V796039 = V203177 + 1. assign V592059 = V381701 + 1. assign V072660 = V524010 + 1. assign V037774 = V769987 + 1. assign V370505 = V903230 - 1. assign V314421 = V732867 - 1. assign V516675 = V260353. assign V867063 = V101983 - 1. assign V060626 = V606542 + 1. assign V806545 = V325495 + 1. assign V248593 = V381701. assign V381701 = V547875 - 1. assign V670059 = V698790. assign V468249 = V182851. assign V798262 = V698790 - 1. assign V698790 = V530772. assign V908242 = V270061 + 1. assign V080261 = V903230. assign V087704 = V915448 + 1. assign V167425 = V078425. assign V420462 = V201072 + 1. assign V768053 = V903230. assign V587557 = V867063. assign V929262 = V783578. assign V915448 = V087880 - 1. assign V537348 = V201072. assign V033111 = V768053.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V158163 = V370505. assign V260353 = V219033 + 1. assign V087880 = V229969. assign V078425 = V846101. assign V339222 = V547875 - 1. assign V686772 = V260353 + 1. assign V367229 = V768053 - 1. assign V880487 = V367229. assign V882629 = V248593 - 1. assign V303350 = 9. assign V196277 = V420462 + 1. assign V118889 = V968375 + 1. assign V451310 = V219033 + 1. assign V120002 = V370505 + 1. assign V228221 = V769987 + 1. assign V530772 = V547875 - 1. assign V822922 = V873119 - 1. assign V107922 = V118889. assign V903230 = V873119 - 1. assign V537110 = V537348 - 1. assign V229969 = V903230. assign V182851 = V873119 - 1. assign V047432 = V809561 + 1. assign V391591 = V903230 + 1. assign V747474 = V087880 - 1. assign V663600 = V182851 - 1. assign V809561 = V867063. assign V484761 = V087880 + 1. assign V732867 = V231550 - 1. assign V606542 = V024875 - 1. assign V968375 = V796039 + 1. assign V524010 = V047432 - 1. assign V770089 = V381701 - 1. assign V245009 = V768053 + 1. assign V068361 = V167425. assign V203177 = V201072 - 1. assign V547875 = V783578 + 1. assign V231550 = V033111 - 1. assign V479225 = V245009. assign V930526 = V033111. assign V560729 = V101983. assign V325495 = V783578 - 1. assign V071838 = V710202. assign V110705 = V201072 + 1. assign V710202 = V101983 - 1. assign V201072 = V071838 - 1. assign V917082 = V846101. assign V194525 = V260353 + 1. assign V201465 = V867063 + 1. assign V270061 = V231550 + 1. assign V846101 = V867063. assign V873119 = V325495. assign V024875 = V873119. assign V219033 = V339222 + 1. assign V769987 = V229969. assign V603670 = V219033. assign V783578 = V101983. assign V164278 = V167425 + 1. assign V613005 = V303350. assign V796039 = V203177 + 1. assign V592059 = V381701 + 1. assign V072660 = V524010 + 1. assign V037774 = V769987 + 1. assign V370505 = V903230 - 1. assign V314421 = V732867 - 1. assign V516675 = V260353. assign V867063 = V101983 - 1. assign V060626 = V606542 + 1. assign V806545 = V325495 + 1. assign V248593 = V381701. assign V381701 = V547875 - 1. assign V670059 = V698790. assign V468249 = V182851. assign V798262 = V698790 - 1. assign V698790 = V530772. assign V908242 = V270061 + 1. assign V080261 = V903230. assign V087704 = V915448 + 1. assign V167425 = V078425. assign V420462 = V201072 + 1. assign V768053 = V903230. assign V587557 = V867063. assign V929262 = V783578. assign V915448 = V087880 - 1. assign V537348 = V201072. assign V033111 = V768053.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV303350 = 9;\n\nFrom these direct assignment(s), we have: \nV613005 = V303350 = 9;\nNo other variables can be derived from V613005;\nNo other variables can be derived from V303350;\n\nNow we have done all the calculations. Derived variables are:\nV303350 = 9;\nV613005 = 9;\n\nNow we have finished this problem. ANSWER:\nV303350, V613005\n", "role": "assistant" } ]

[ "V632764" ]

[ { "content": "<context>\nassign V145750 = V465739 + 1. assign V438148 = V750116. assign V731350 = V465739 - 1. assign V790228 = V608414 + 1. assign V812581 = V905364. assign V067373 = V407521 - 1. assign V461017 = V453921. assign V147542 = V553675 + 1. assign V186942 = V312748. assign V783571 = V731350 - 1. assign V449179 = V727753 - 1. assign V489723 = V098074. assign V035813 = V935304. assign V465739 = V463176 - 1. assign V849779 = V449179. assign V769411 = V589496. assign V557544 = V671027 + 1. assign V836887 = V671027 + 1. assign V144453 = V608414 - 1. assign V253480 = V192333 - 1. assign V453921 = V750116. assign V215889 = V750116. assign V584024 = V147542 + 1. assign V447098 = V088732 - 1. assign V661983 = V647272. assign V379728 = V215889 + 1. assign V635239 = V371150. assign V671027 = V553675 - 1. assign V712840 = V392162 - 1. assign V407521 = V397973 - 1. assign V902267 = V397973. assign V589496 = V379728. assign V098074 = V392162. assign V365965 = V297814 - 1. assign V740805 = V905364. assign V761488 = V463176 - 1. assign V962570 = V769816 - 1. assign V778949 = V335488 + 1. assign V407421 = V704787. assign V358872 = V800014. assign V502976 = V635239 + 1. assign V608414 = V088732 - 1. assign V192333 = V371150 - 1. assign V397973 = V769816. assign V335488 = V589496 - 1. assign V677715 = V297814 - 1. assign V704787 = V335488. assign V782077 = 3. assign V455300 = V453921 - 1. assign V719126 = V800014 + 1. assign V445408 = V579630. assign V331014 = V962570. assign V727753 = V750116 - 1. assign V297814 = V584024. assign V139582 = V759020. assign V271954 = V740805 - 1. assign V769816 = V379728 + 1. assign V619542 = V392162 - 1. assign V249866 = V750116. assign V788010 = V553675. assign V800014 = V727753 + 1. assign V508609 = V331014. assign V585100 = V435561 - 1. assign V935304 = V312748. assign V388985 = V249866. assign V934528 = V769816 - 1. assign V632764 = V782077 + 1. assign V553675 = V312748 + 1. assign V732528 = V465739 + 1. assign V463176 = V769816. assign V153171 = V192333. assign V647272 = V463176 - 1. assign V672102 = V098074 - 1. assign V350465 = V379728 + 1. assign V579630 = V731350 - 1. assign V435561 = V750116 - 1. assign V460819 = V147542. assign V371150 = V463176 + 1. assign V312748 = V327795 - 1. assign V905364 = V215889 - 1. assign V288602 = V388985 - 1. assign V071955 = V088732 - 1. assign V327795 = V769816. assign V392162 = V704787. assign V088732 = V463176. assign V759020 = V934528 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V145750 = V465739 + 1. assign V438148 = V750116. assign V731350 = V465739 - 1. assign V790228 = V608414 + 1. assign V812581 = V905364. assign V067373 = V407521 - 1. assign V461017 = V453921. assign V147542 = V553675 + 1. assign V186942 = V312748. assign V783571 = V731350 - 1. assign V449179 = V727753 - 1. assign V489723 = V098074. assign V035813 = V935304. assign V465739 = V463176 - 1. assign V849779 = V449179. assign V769411 = V589496. assign V557544 = V671027 + 1. assign V836887 = V671027 + 1. assign V144453 = V608414 - 1. assign V253480 = V192333 - 1. assign V453921 = V750116. assign V215889 = V750116. assign V584024 = V147542 + 1. assign V447098 = V088732 - 1. assign V661983 = V647272. assign V379728 = V215889 + 1. assign V635239 = V371150. assign V671027 = V553675 - 1. assign V712840 = V392162 - 1. assign V407521 = V397973 - 1. assign V902267 = V397973. assign V589496 = V379728. assign V098074 = V392162. assign V365965 = V297814 - 1. assign V740805 = V905364. assign V761488 = V463176 - 1. assign V962570 = V769816 - 1. assign V778949 = V335488 + 1. assign V407421 = V704787. assign V358872 = V800014. assign V502976 = V635239 + 1. assign V608414 = V088732 - 1. assign V192333 = V371150 - 1. assign V397973 = V769816. assign V335488 = V589496 - 1. assign V677715 = V297814 - 1. assign V704787 = V335488. assign V782077 = 3. assign V455300 = V453921 - 1. assign V719126 = V800014 + 1. assign V445408 = V579630. assign V331014 = V962570. assign V727753 = V750116 - 1. assign V297814 = V584024. assign V139582 = V759020. assign V271954 = V740805 - 1. assign V769816 = V379728 + 1. assign V619542 = V392162 - 1. assign V249866 = V750116. assign V788010 = V553675. assign V800014 = V727753 + 1. assign V508609 = V331014. assign V585100 = V435561 - 1. assign V935304 = V312748. assign V388985 = V249866. assign V934528 = V769816 - 1. assign V632764 = V782077 + 1. assign V553675 = V312748 + 1. assign V732528 = V465739 + 1. assign V463176 = V769816. assign V153171 = V192333. assign V647272 = V463176 - 1. assign V672102 = V098074 - 1. assign V350465 = V379728 + 1. assign V579630 = V731350 - 1. assign V435561 = V750116 - 1. assign V460819 = V147542. assign V371150 = V463176 + 1. assign V312748 = V327795 - 1. assign V905364 = V215889 - 1. assign V288602 = V388985 - 1. assign V071955 = V088732 - 1. assign V327795 = V769816. assign V392162 = V704787. assign V088732 = V463176. assign V759020 = V934528 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV782077 = 3;\n\nFrom these direct assignment(s), we have: \nV632764 = V782077 + 1 = 3 + 1 =4;\nNo other variables can be derived from V632764;\nNo other variables can be derived from V782077;\n\nNow we have done all the calculations. Derived variables are:\nV782077 = 3;\nV632764 = 4;\n\nNow we have finished this problem. ANSWER:\nV632764\n", "role": "assistant" } ]

[ "V054187", "V398328" ]

[ { "content": "<context>\nassign V517627 = V680606. assign V090811 = V300607 + 1. assign V837518 = V586510 + 1. assign V356727 = V381376 + 1. assign V153265 = V140906. assign V152268 = V472121 + 1. assign V831772 = V225776 - 1. assign V996968 = V120816 - 1. assign V110527 = V472121. assign V300607 = V586510. assign V132703 = V751957 + 1. assign V943096 = V132703 + 1. assign V979472 = V137334 + 1. assign V073702 = V517627 - 1. assign V074841 = V751957 + 1. assign V634489 = V557229 + 1. assign V122377 = V539175 - 1. assign V453302 = V943096 + 1. assign V451450 = V300607 + 1. assign V766072 = V569768. assign V201895 = V680606 - 1. assign V381376 = V957096. assign V498571 = V943096 + 1. assign V150086 = V837518 + 1. assign V888133 = V120816. assign V782865 = V741267 - 1. assign V547231 = V539175. assign V573916 = V228684. assign V054187 = 1. assign V423565 = V201895 - 1. assign V751957 = V680606 + 1. assign V501589 = V755270 - 1. assign V467235 = V201895 - 1. assign V124480 = V110527 + 1. assign V866523 = V472121. assign V120816 = V201895 + 1. assign V247799 = V957096. assign V246120 = V351116 - 1. assign V382895 = V557229 + 1. assign V845237 = V310426 + 1. assign V586510 = V517627 + 1. assign V533955 = V954873. assign V957096 = V132703 - 1. assign V337253 = V122377 + 1. assign V869419 = V845237 + 1. assign V755270 = V246120 + 1. assign V741267 = V557229. assign V428478 = V865056 - 1. assign V040830 = V132703 - 1. assign V037803 = V751957 + 1. assign V257927 = V300607 - 1. assign V392040 = V074841 - 1. assign V954873 = V569768. assign V539175 = V680606 + 1. assign V310426 = V073702. assign V902837 = V247799 - 1. assign V516434 = V215237 - 1. assign V569233 = V247799 - 1. assign V440719 = V624409. assign V472121 = V381376. assign V816230 = V073702. assign V225776 = V381376 + 1. assign V515792 = V257927 + 1. assign V565299 = V957096. assign V154316 = V310426. assign V865056 = V140906. assign V551695 = V228684 + 1. assign V557229 = V132703. assign V569768 = V423565. assign V398328 = V054187. assign V304656 = V586510 - 1. assign V228684 = V888133 + 1. assign V684107 = V557229. assign V045208 = V996968 - 1. assign V137334 = V551695 + 1. assign V458128 = V304656 - 1. assign V051678 = V467235 + 1. assign V215237 = V539175 + 1. assign V157431 = V586510 - 1. assign V351116 = V201895 + 1. assign V615088 = V392040 + 1. assign V140906 = V132703 - 1. assign V078803 = V073702 - 1. assign V437842 = V423565 + 1. assign V770330 = V152268 + 1. assign V624409 = V074841.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V517627 = V680606. assign V090811 = V300607 + 1. assign V837518 = V586510 + 1. assign V356727 = V381376 + 1. assign V153265 = V140906. assign V152268 = V472121 + 1. assign V831772 = V225776 - 1. assign V996968 = V120816 - 1. assign V110527 = V472121. assign V300607 = V586510. assign V132703 = V751957 + 1. assign V943096 = V132703 + 1. assign V979472 = V137334 + 1. assign V073702 = V517627 - 1. assign V074841 = V751957 + 1. assign V634489 = V557229 + 1. assign V122377 = V539175 - 1. assign V453302 = V943096 + 1. assign V451450 = V300607 + 1. assign V766072 = V569768. assign V201895 = V680606 - 1. assign V381376 = V957096. assign V498571 = V943096 + 1. assign V150086 = V837518 + 1. assign V888133 = V120816. assign V782865 = V741267 - 1. assign V547231 = V539175. assign V573916 = V228684. assign V054187 = 1. assign V423565 = V201895 - 1. assign V751957 = V680606 + 1. assign V501589 = V755270 - 1. assign V467235 = V201895 - 1. assign V124480 = V110527 + 1. assign V866523 = V472121. assign V120816 = V201895 + 1. assign V247799 = V957096. assign V246120 = V351116 - 1. assign V382895 = V557229 + 1. assign V845237 = V310426 + 1. assign V586510 = V517627 + 1. assign V533955 = V954873. assign V957096 = V132703 - 1. assign V337253 = V122377 + 1. assign V869419 = V845237 + 1. assign V755270 = V246120 + 1. assign V741267 = V557229. assign V428478 = V865056 - 1. assign V040830 = V132703 - 1. assign V037803 = V751957 + 1. assign V257927 = V300607 - 1. assign V392040 = V074841 - 1. assign V954873 = V569768. assign V539175 = V680606 + 1. assign V310426 = V073702. assign V902837 = V247799 - 1. assign V516434 = V215237 - 1. assign V569233 = V247799 - 1. assign V440719 = V624409. assign V472121 = V381376. assign V816230 = V073702. assign V225776 = V381376 + 1. assign V515792 = V257927 + 1. assign V565299 = V957096. assign V154316 = V310426. assign V865056 = V140906. assign V551695 = V228684 + 1. assign V557229 = V132703. assign V569768 = V423565. assign V398328 = V054187. assign V304656 = V586510 - 1. assign V228684 = V888133 + 1. assign V684107 = V557229. assign V045208 = V996968 - 1. assign V137334 = V551695 + 1. assign V458128 = V304656 - 1. assign V051678 = V467235 + 1. assign V215237 = V539175 + 1. assign V157431 = V586510 - 1. assign V351116 = V201895 + 1. assign V615088 = V392040 + 1. assign V140906 = V132703 - 1. assign V078803 = V073702 - 1. assign V437842 = V423565 + 1. assign V770330 = V152268 + 1. assign V624409 = V074841.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV054187 = 1;\n\nFrom these direct assignment(s), we have: \nV398328 = V054187 = 1;\nNo other variables can be derived from V398328;\nNo other variables can be derived from V054187;\n\nNow we have done all the calculations. Derived variables are:\nV054187 = 1;\nV398328 = 1;\n\nNow we have finished this problem. ANSWER:\nV054187, V398328\n", "role": "assistant" } ]

[ "V714459" ]

[ { "content": "<context>\nassign V152212 = V706826 - 1. assign V236565 = V502560 - 1. assign V830041 = V718995. assign V546377 = V502560. assign V759674 = V705835 + 1. assign V363199 = V070188. assign V133094 = V829434. assign V078070 = V718995. assign V505575 = V795567 + 1. assign V708281 = V749331. assign V279944 = V749331. assign V196343 = V212210. assign V408663 = V279944 + 1. assign V460443 = V279944 + 1. assign V696478 = V653152 - 1. assign V875204 = V829434 + 1. assign V733943 = V937156 - 1. assign V919976 = V604401. assign V311272 = V714459 + 1. assign V521448 = V119835. assign V648145 = V147840 + 1. assign V558100 = V286135 + 1. assign V736724 = V279944. assign V070188 = V279944 + 1. assign V066555 = V795567. assign V795567 = V749331. assign V136063 = V147090 + 1. assign V879260 = V431133 + 1. assign V861915 = V340059 + 1. assign V714459 = 9. assign V572034 = V706826. assign V686444 = V279944 + 1. assign V553511 = V708281 - 1. assign V027937 = V847837. assign V829434 = V642303 + 1. assign V288720 = V340059 - 1. assign V724263 = V604401 - 1. assign V091406 = V340059. assign V705835 = V839422. assign V616482 = V279944 + 1. assign V212210 = V829434 + 1. assign V757576 = V810096. assign V147840 = V340059 + 1. assign V129418 = V993833. assign V272660 = V696478. assign V091423 = V070188. assign V147090 = V553511 - 1. assign V440495 = V070188. assign V365846 = V875204. assign V119835 = V340059. assign V819281 = V408663 + 1. assign V491072 = V919976 + 1. assign V635821 = V706826 - 1. assign V653152 = V288720. assign V810096 = V460443 + 1. assign V991509 = V686444 + 1. assign V656906 = V502560. assign V706826 = V718995 + 1. assign V550946 = V875204 + 1. assign V431133 = V795567 + 1. assign V772629 = V460443. assign V950191 = V749331 - 1. assign V333389 = V553511 - 1. assign V340059 = V829434 + 1. assign V773978 = V686444 - 1. assign V336877 = V000497 - 1. assign V718995 = V340059. assign V211043 = V919976. assign V000497 = V839422 + 1. assign V403334 = V272660. assign V839422 = V070188. assign V097437 = V759674 - 1. assign V214686 = V471770 - 1. assign V471770 = V705835 - 1. assign V470749 = V279944 + 1. assign V847837 = V919976 - 1. assign V604401 = V875204 + 1. assign V629953 = V847837. assign V502560 = V810096 - 1. assign V472880 = V733943 + 1. assign V993833 = V070188. assign V937156 = V708281 + 1. assign V642303 = V279944 + 1. assign V286135 = V550946 + 1. assign V274171 = V795567. assign V364493 = V272660 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V152212 = V706826 - 1. assign V236565 = V502560 - 1. assign V830041 = V718995. assign V546377 = V502560. assign V759674 = V705835 + 1. assign V363199 = V070188. assign V133094 = V829434. assign V078070 = V718995. assign V505575 = V795567 + 1. assign V708281 = V749331. assign V279944 = V749331. assign V196343 = V212210. assign V408663 = V279944 + 1. assign V460443 = V279944 + 1. assign V696478 = V653152 - 1. assign V875204 = V829434 + 1. assign V733943 = V937156 - 1. assign V919976 = V604401. assign V311272 = V714459 + 1. assign V521448 = V119835. assign V648145 = V147840 + 1. assign V558100 = V286135 + 1. assign V736724 = V279944. assign V070188 = V279944 + 1. assign V066555 = V795567. assign V795567 = V749331. assign V136063 = V147090 + 1. assign V879260 = V431133 + 1. assign V861915 = V340059 + 1. assign V714459 = 9. assign V572034 = V706826. assign V686444 = V279944 + 1. assign V553511 = V708281 - 1. assign V027937 = V847837. assign V829434 = V642303 + 1. assign V288720 = V340059 - 1. assign V724263 = V604401 - 1. assign V091406 = V340059. assign V705835 = V839422. assign V616482 = V279944 + 1. assign V212210 = V829434 + 1. assign V757576 = V810096. assign V147840 = V340059 + 1. assign V129418 = V993833. assign V272660 = V696478. assign V091423 = V070188. assign V147090 = V553511 - 1. assign V440495 = V070188. assign V365846 = V875204. assign V119835 = V340059. assign V819281 = V408663 + 1. assign V491072 = V919976 + 1. assign V635821 = V706826 - 1. assign V653152 = V288720. assign V810096 = V460443 + 1. assign V991509 = V686444 + 1. assign V656906 = V502560. assign V706826 = V718995 + 1. assign V550946 = V875204 + 1. assign V431133 = V795567 + 1. assign V772629 = V460443. assign V950191 = V749331 - 1. assign V333389 = V553511 - 1. assign V340059 = V829434 + 1. assign V773978 = V686444 - 1. assign V336877 = V000497 - 1. assign V718995 = V340059. assign V211043 = V919976. assign V000497 = V839422 + 1. assign V403334 = V272660. assign V839422 = V070188. assign V097437 = V759674 - 1. assign V214686 = V471770 - 1. assign V471770 = V705835 - 1. assign V470749 = V279944 + 1. assign V847837 = V919976 - 1. assign V604401 = V875204 + 1. assign V629953 = V847837. assign V502560 = V810096 - 1. assign V472880 = V733943 + 1. assign V993833 = V070188. assign V937156 = V708281 + 1. assign V642303 = V279944 + 1. assign V286135 = V550946 + 1. assign V274171 = V795567. assign V364493 = V272660 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV714459 = 9;\n\nFrom these direct assignment(s), we have: \nV311272 = V714459 + 1 = 9 + 1 =10;\nNo other variables can be derived from V311272;\nNo other variables can be derived from V714459;\n\nNow we have done all the calculations. Derived variables are:\nV714459 = 9;\nV311272 = 10;\n\nNow we have finished this problem. ANSWER:\nV714459\n", "role": "assistant" } ]

[ "V668792" ]

[ { "content": "<context>\nassign V316019 = V422083 + 1. assign V668792 = V108946 + 1. assign V422083 = V045608 + 1. assign V161388 = V926049. assign V310192 = V721786 + 1. assign V378910 = V040523 - 1. assign V535365 = V128351 - 1. assign V186484 = V619523 - 1. assign V314959 = V868467 - 1. assign V863981 = V721786 + 1. assign V630325 = V682699 - 1. assign V546962 = V817199. assign V891185 = V926049. assign V481867 = V086036 + 1. assign V108946 = 5. assign V313891 = V308693. assign V879944 = V020300 - 1. assign V817199 = V868467 + 1. assign V919042 = V037308. assign V214057 = V040523 + 1. assign V993126 = V430182 + 1. assign V814307 = V638555 - 1. assign V243498 = V037308. assign V638555 = V630325 - 1. assign V862144 = V817199. assign V946748 = V252711. assign V332690 = V721786 - 1. assign V544898 = V823343 - 1. assign V850879 = V545891 - 1. assign V546671 = V481867 - 1. assign V572292 = V079294 + 1. assign V868467 = V086036. assign V532153 = V862144 - 1. assign V178263 = V310192 - 1. assign V809807 = V682699. assign V985343 = V828454 + 1. assign V986294 = V310192 + 1. assign V396178 = V682699 + 1. assign V037308 = V107198 + 1. assign V199091 = V572292 - 1. assign V430182 = V645090 - 1. assign V350256 = V792593 + 1. assign V252711 = V269617. assign V637788 = V891185 + 1. assign V122176 = V723874 - 1. assign V552194 = V178263 - 1. assign V317046 = V086036 - 1. assign V792593 = V893018. assign V619523 = V269617. assign V823343 = V233107. assign V079294 = V919042. assign V921780 = V721786 + 1. assign V681995 = V310192. assign V001432 = V891185. assign V507899 = V828454. assign V308693 = V863981 + 1. assign V373022 = V269617. assign V387874 = V841286. assign V020300 = V045608 + 1. assign V233107 = V040523. assign V329254 = V926049. assign V985885 = V721786. assign V163930 = V045608. assign V045608 = V214057. assign V723874 = V045608. assign V645090 = V868467 + 1. assign V914420 = V040523 + 1. assign V721786 = V086036 + 1. assign V440665 = V926049. assign V545891 = V047005. assign V895419 = V233107 + 1. assign V682699 = V086036. assign V893018 = V895419. assign V159621 = V847246 - 1. assign V047005 = V926049 + 1. assign V926049 = V863981 - 1. assign V040523 = V086036 - 1. assign V841286 = V440665. assign V389723 = V045608 + 1. assign V269617 = V863981 + 1. assign V128351 = V682699 + 1. assign V107198 = V086036. assign V746571 = V817199 - 1. assign V847246 = V926049 + 1. assign V828454 = V721786 + 1. assign V499259 = V317046.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V316019 = V422083 + 1. assign V668792 = V108946 + 1. assign V422083 = V045608 + 1. assign V161388 = V926049. assign V310192 = V721786 + 1. assign V378910 = V040523 - 1. assign V535365 = V128351 - 1. assign V186484 = V619523 - 1. assign V314959 = V868467 - 1. assign V863981 = V721786 + 1. assign V630325 = V682699 - 1. assign V546962 = V817199. assign V891185 = V926049. assign V481867 = V086036 + 1. assign V108946 = 5. assign V313891 = V308693. assign V879944 = V020300 - 1. assign V817199 = V868467 + 1. assign V919042 = V037308. assign V214057 = V040523 + 1. assign V993126 = V430182 + 1. assign V814307 = V638555 - 1. assign V243498 = V037308. assign V638555 = V630325 - 1. assign V862144 = V817199. assign V946748 = V252711. assign V332690 = V721786 - 1. assign V544898 = V823343 - 1. assign V850879 = V545891 - 1. assign V546671 = V481867 - 1. assign V572292 = V079294 + 1. assign V868467 = V086036. assign V532153 = V862144 - 1. assign V178263 = V310192 - 1. assign V809807 = V682699. assign V985343 = V828454 + 1. assign V986294 = V310192 + 1. assign V396178 = V682699 + 1. assign V037308 = V107198 + 1. assign V199091 = V572292 - 1. assign V430182 = V645090 - 1. assign V350256 = V792593 + 1. assign V252711 = V269617. assign V637788 = V891185 + 1. assign V122176 = V723874 - 1. assign V552194 = V178263 - 1. assign V317046 = V086036 - 1. assign V792593 = V893018. assign V619523 = V269617. assign V823343 = V233107. assign V079294 = V919042. assign V921780 = V721786 + 1. assign V681995 = V310192. assign V001432 = V891185. assign V507899 = V828454. assign V308693 = V863981 + 1. assign V373022 = V269617. assign V387874 = V841286. assign V020300 = V045608 + 1. assign V233107 = V040523. assign V329254 = V926049. assign V985885 = V721786. assign V163930 = V045608. assign V045608 = V214057. assign V723874 = V045608. assign V645090 = V868467 + 1. assign V914420 = V040523 + 1. assign V721786 = V086036 + 1. assign V440665 = V926049. assign V545891 = V047005. assign V895419 = V233107 + 1. assign V682699 = V086036. assign V893018 = V895419. assign V159621 = V847246 - 1. assign V047005 = V926049 + 1. assign V926049 = V863981 - 1. assign V040523 = V086036 - 1. assign V841286 = V440665. assign V389723 = V045608 + 1. assign V269617 = V863981 + 1. assign V128351 = V682699 + 1. assign V107198 = V086036. assign V746571 = V817199 - 1. assign V847246 = V926049 + 1. assign V828454 = V721786 + 1. assign V499259 = V317046.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV108946 = 5;\n\nFrom these direct assignment(s), we have: \nV668792 = V108946 + 1 = 5 + 1 =6;\nNo other variables can be derived from V668792;\nNo other variables can be derived from V108946;\n\nNow we have done all the calculations. Derived variables are:\nV108946 = 5;\nV668792 = 6;\n\nNow we have finished this problem. ANSWER:\nV668792\n", "role": "assistant" } ]

[ "V143150", "V658955" ]

[ { "content": "<context>\nassign V398774 = V833482 - 1. assign V162444 = V817861. assign V299872 = V959047 - 1. assign V458761 = V091612 + 1. assign V121261 = V252737 + 1. assign V897219 = V283609. assign V252737 = V013653 - 1. assign V658955 = V143150. assign V242537 = V314706. assign V935293 = V473327 - 1. assign V271812 = V864950 - 1. assign V571984 = V470170 - 1. assign V089846 = V571984. assign V030875 = V644757. assign V091612 = V299872. assign V508282 = V644757 + 1. assign V877758 = V658671 + 1. assign V468165 = V509219 - 1. assign V018490 = V797185. assign V127478 = V254259 + 1. assign V260724 = V397917 + 1. assign V549868 = V254259 - 1. assign V470170 = V397917 - 1. assign V695930 = V468165. assign V815683 = V571984 + 1. assign V892139 = V030875 + 1. assign V110697 = V098012. assign V627180 = V013653 + 1. assign V864950 = V470170 + 1. assign V644757 = V468165. assign V780157 = V797185 + 1. assign V450852 = V723714 - 1. assign V022187 = V444577. assign V752831 = V013653. assign V305485 = V509219. assign V402488 = V473327. assign V098012 = V571984 + 1. assign V697734 = V397917 + 1. assign V922902 = V620971 - 1. assign V619590 = V128911 + 1. assign V494249 = V697734 - 1. assign V128066 = V627180 + 1. assign V314706 = V494249 - 1. assign V128911 = V087012. assign V657576 = V473327 - 1. assign V140134 = V864950 - 1. assign V833482 = V098012 + 1. assign V509219 = V013653 + 1. assign V676885 = V833482 - 1. assign V620971 = V473327 + 1. assign V294710 = V862704. assign V980793 = V470170. assign V658671 = V610126 - 1. assign V444577 = V128911 + 1. assign V602982 = V252737 + 1. assign V890751 = V162444 - 1. assign V613406 = V018490 - 1. assign V998946 = V272388 + 1. assign V817861 = V468165. assign V918799 = V402488 - 1. assign V397917 = V610126 + 1. assign V959047 = V697734 - 1. assign V722771 = V780157 + 1. assign V556432 = V030875 - 1. assign V959355 = V817861 - 1. assign V254259 = V098012. assign V257547 = V012528 - 1. assign V797185 = V959047. assign V012528 = V397917. assign V283609 = V610126 + 1. assign V714999 = V862704. assign V473327 = V571984. assign V272388 = V509219. assign V324959 = V140134 - 1. assign V862704 = V013653. assign V143150 = 3. assign V088949 = V162444 + 1. assign V610126 = V087012. assign V767166 = V283609 - 1. assign V723714 = V254259 + 1. assign V730542 = V127478 + 1. assign V983760 = V695930. assign V227560 = V299872. assign V310250 = V272388 - 1. assign V013653 = V087012. assign V382949 = V013653.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V398774 = V833482 - 1. assign V162444 = V817861. assign V299872 = V959047 - 1. assign V458761 = V091612 + 1. assign V121261 = V252737 + 1. assign V897219 = V283609. assign V252737 = V013653 - 1. assign V658955 = V143150. assign V242537 = V314706. assign V935293 = V473327 - 1. assign V271812 = V864950 - 1. assign V571984 = V470170 - 1. assign V089846 = V571984. assign V030875 = V644757. assign V091612 = V299872. assign V508282 = V644757 + 1. assign V877758 = V658671 + 1. assign V468165 = V509219 - 1. assign V018490 = V797185. assign V127478 = V254259 + 1. assign V260724 = V397917 + 1. assign V549868 = V254259 - 1. assign V470170 = V397917 - 1. assign V695930 = V468165. assign V815683 = V571984 + 1. assign V892139 = V030875 + 1. assign V110697 = V098012. assign V627180 = V013653 + 1. assign V864950 = V470170 + 1. assign V644757 = V468165. assign V780157 = V797185 + 1. assign V450852 = V723714 - 1. assign V022187 = V444577. assign V752831 = V013653. assign V305485 = V509219. assign V402488 = V473327. assign V098012 = V571984 + 1. assign V697734 = V397917 + 1. assign V922902 = V620971 - 1. assign V619590 = V128911 + 1. assign V494249 = V697734 - 1. assign V128066 = V627180 + 1. assign V314706 = V494249 - 1. assign V128911 = V087012. assign V657576 = V473327 - 1. assign V140134 = V864950 - 1. assign V833482 = V098012 + 1. assign V509219 = V013653 + 1. assign V676885 = V833482 - 1. assign V620971 = V473327 + 1. assign V294710 = V862704. assign V980793 = V470170. assign V658671 = V610126 - 1. assign V444577 = V128911 + 1. assign V602982 = V252737 + 1. assign V890751 = V162444 - 1. assign V613406 = V018490 - 1. assign V998946 = V272388 + 1. assign V817861 = V468165. assign V918799 = V402488 - 1. assign V397917 = V610126 + 1. assign V959047 = V697734 - 1. assign V722771 = V780157 + 1. assign V556432 = V030875 - 1. assign V959355 = V817861 - 1. assign V254259 = V098012. assign V257547 = V012528 - 1. assign V797185 = V959047. assign V012528 = V397917. assign V283609 = V610126 + 1. assign V714999 = V862704. assign V473327 = V571984. assign V272388 = V509219. assign V324959 = V140134 - 1. assign V862704 = V013653. assign V143150 = 3. assign V088949 = V162444 + 1. assign V610126 = V087012. assign V767166 = V283609 - 1. assign V723714 = V254259 + 1. assign V730542 = V127478 + 1. assign V983760 = V695930. assign V227560 = V299872. assign V310250 = V272388 - 1. assign V013653 = V087012. assign V382949 = V013653.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV143150 = 3;\n\nFrom these direct assignment(s), we have: \nV658955 = V143150 = 3;\nNo other variables can be derived from V658955;\nNo other variables can be derived from V143150;\n\nNow we have done all the calculations. Derived variables are:\nV143150 = 3;\nV658955 = 3;\n\nNow we have finished this problem. ANSWER:\nV143150, V658955\n", "role": "assistant" } ]

[ "V094167" ]

[ { "content": "<context>\nassign V204277 = V183625. assign V441645 = 1. assign V354373 = V293296. assign V663382 = V207778 - 1. assign V919113 = V863496 + 1. assign V671622 = V628181. assign V306926 = V671622 - 1. assign V440902 = V710393 - 1. assign V358268 = V183625. assign V724821 = V667218 - 1. assign V020201 = V207778 + 1. assign V902902 = V628181 + 1. assign V710393 = V911605 + 1. assign V459660 = V306926 + 1. assign V999731 = V799937. assign V537885 = V400906 - 1. assign V184157 = V573625. assign V970626 = V454634 - 1. assign V911605 = V172199. assign V706304 = V000262 + 1. assign V721884 = V183625 + 1. assign V758124 = V187921. assign V319131 = V573625. assign V391500 = V099953. assign V450645 = V176509 - 1. assign V340846 = V440902 + 1. assign V693337 = V825655 + 1. assign V346631 = V183625 - 1. assign V065570 = V724821 - 1. assign V802896 = V583113 - 1. assign V187921 = V710393. assign V376252 = V586385 - 1. assign V825655 = V867058 + 1. assign V150362 = V736286 + 1. assign V799937 = V721884. assign V166226 = V347844. assign V198132 = V865258 + 1. assign V867058 = V172199 + 1. assign V479610 = V319131 + 1. assign V392072 = V586385 - 1. assign V610637 = V573625. assign V447823 = V745218 + 1. assign V978444 = V573625. assign V976600 = V450645 + 1. assign V377899 = V450645. assign V667218 = V207778 + 1. assign V813105 = V601507 + 1. assign V176509 = V907831. assign V373093 = V745218 + 1. assign V204410 = V613065 + 1. assign V454634 = V706304 + 1. assign V745218 = V204277 - 1. assign V183625 = V293296 + 1. assign V865258 = V721884. assign V400906 = V710393 - 1. assign V330221 = V721884. assign V099953 = V400906 - 1. assign V934311 = V706304. assign V661353 = V000262. assign V347844 = V867058 + 1. assign V573625 = V172199. assign V838972 = V573625 + 1. assign V207778 = V293296. assign V736286 = V911605. assign V487432 = V172199 - 1. assign V169637 = V358268 + 1. assign V777779 = V376252. assign V775112 = V207778 + 1. assign V583113 = V667218 + 1. assign V863496 = V770990 + 1. assign V075367 = V376252. assign V362907 = V330221 + 1. assign V094167 = V441645 + 1. assign V286868 = V187921. assign V648751 = V736953 - 1. assign V628181 = V293296 - 1. assign V736953 = V770990 - 1. assign V907831 = V770990 + 1. assign V770990 = V354373 + 1. assign V586385 = V187921 - 1. assign V000262 = V799937. assign V601507 = V721884. assign V293296 = V172199 - 1. assign V153030 = V376252 + 1. assign V613065 = V745218. assign V034903 = V911605.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V204277 = V183625. assign V441645 = 1. assign V354373 = V293296. assign V663382 = V207778 - 1. assign V919113 = V863496 + 1. assign V671622 = V628181. assign V306926 = V671622 - 1. assign V440902 = V710393 - 1. assign V358268 = V183625. assign V724821 = V667218 - 1. assign V020201 = V207778 + 1. assign V902902 = V628181 + 1. assign V710393 = V911605 + 1. assign V459660 = V306926 + 1. assign V999731 = V799937. assign V537885 = V400906 - 1. assign V184157 = V573625. assign V970626 = V454634 - 1. assign V911605 = V172199. assign V706304 = V000262 + 1. assign V721884 = V183625 + 1. assign V758124 = V187921. assign V319131 = V573625. assign V391500 = V099953. assign V450645 = V176509 - 1. assign V340846 = V440902 + 1. assign V693337 = V825655 + 1. assign V346631 = V183625 - 1. assign V065570 = V724821 - 1. assign V802896 = V583113 - 1. assign V187921 = V710393. assign V376252 = V586385 - 1. assign V825655 = V867058 + 1. assign V150362 = V736286 + 1. assign V799937 = V721884. assign V166226 = V347844. assign V198132 = V865258 + 1. assign V867058 = V172199 + 1. assign V479610 = V319131 + 1. assign V392072 = V586385 - 1. assign V610637 = V573625. assign V447823 = V745218 + 1. assign V978444 = V573625. assign V976600 = V450645 + 1. assign V377899 = V450645. assign V667218 = V207778 + 1. assign V813105 = V601507 + 1. assign V176509 = V907831. assign V373093 = V745218 + 1. assign V204410 = V613065 + 1. assign V454634 = V706304 + 1. assign V745218 = V204277 - 1. assign V183625 = V293296 + 1. assign V865258 = V721884. assign V400906 = V710393 - 1. assign V330221 = V721884. assign V099953 = V400906 - 1. assign V934311 = V706304. assign V661353 = V000262. assign V347844 = V867058 + 1. assign V573625 = V172199. assign V838972 = V573625 + 1. assign V207778 = V293296. assign V736286 = V911605. assign V487432 = V172199 - 1. assign V169637 = V358268 + 1. assign V777779 = V376252. assign V775112 = V207778 + 1. assign V583113 = V667218 + 1. assign V863496 = V770990 + 1. assign V075367 = V376252. assign V362907 = V330221 + 1. assign V094167 = V441645 + 1. assign V286868 = V187921. assign V648751 = V736953 - 1. assign V628181 = V293296 - 1. assign V736953 = V770990 - 1. assign V907831 = V770990 + 1. assign V770990 = V354373 + 1. assign V586385 = V187921 - 1. assign V000262 = V799937. assign V601507 = V721884. assign V293296 = V172199 - 1. assign V153030 = V376252 + 1. assign V613065 = V745218. assign V034903 = V911605.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV441645 = 1;\n\nFrom these direct assignment(s), we have: \nV094167 = V441645 + 1 = 1 + 1 =2;\nNo other variables can be derived from V094167;\nNo other variables can be derived from V441645;\n\nNow we have done all the calculations. Derived variables are:\nV441645 = 1;\nV094167 = 2;\n\nNow we have finished this problem. ANSWER:\nV094167\n", "role": "assistant" } ]

[ "V896021" ]

[ { "content": "<context>\nassign V832994 = V666230 + 1. assign V537552 = V736527 - 1. assign V652019 = V314882 + 1. assign V217538 = V884085 + 1. assign V131675 = V832994. assign V759608 = V375340 - 1. assign V296533 = V041081. assign V539958 = V906508 - 1. assign V314882 = V088296 + 1. assign V292642 = V652019. assign V617362 = V525625 - 1. assign V518580 = V652019 + 1. assign V040154 = V853926 + 1. assign V387820 = V666230 + 1. assign V486157 = V514176 + 1. assign V021980 = V088296 - 1. assign V170215 = V178943 + 1. assign V884085 = V334177. assign V525625 = V597052 - 1. assign V942197 = V178943 + 1. assign V727128 = V539958. assign V501596 = V785802 + 1. assign V070021 = V736527. assign V041081 = V515331. assign V350080 = V902060 - 1. assign V514176 = V131675 - 1. assign V761609 = V486157 - 1. assign V410931 = V339817 - 1. assign V749765 = V525625 - 1. assign V339817 = V515331. assign V785802 = V369579. assign V906508 = V334177. assign V197961 = V998342 + 1. assign V303858 = V617362 + 1. assign V369579 = V303858. assign V589040 = V501596. assign V707532 = V942197 + 1. assign V242146 = V026216. assign V334177 = V666230 + 1. assign V998342 = V239784. assign V991858 = V242146 - 1. assign V812939 = V334177 - 1. assign V982660 = V437261 - 1. assign V113382 = V040154 + 1. assign V736527 = V951837. assign V066311 = V832994 + 1. assign V742391 = V537552 + 1. assign V896021 = V655949 + 1. assign V458709 = V951837 - 1. assign V329214 = V515331 - 1. assign V256327 = V070021. assign V951837 = V088296 + 1. assign V437261 = V812939 - 1. assign V260406 = V021980 - 1. assign V781750 = V131675. assign V239784 = V387820. assign V655949 = 1. assign V957407 = V759608 + 1. assign V024213 = V458709. assign V669830 = V604773 + 1. assign V668490 = V387820 - 1. assign V694399 = V537552 + 1. assign V084712 = V652019 + 1. assign V604773 = V942197 - 1. assign V084177 = V314882 - 1. assign V088296 = V131675. assign V068368 = V969789 - 1. assign V508909 = V026216. assign V026004 = V334177 - 1. assign V532360 = V170215 - 1. assign V375340 = V387820. assign V298104 = V969789 + 1. assign V902060 = V652019. assign V391885 = V558706 - 1. assign V026216 = V884085 + 1. assign V597052 = V781750. assign V969789 = V131675. assign V515331 = V334177 + 1. assign V041632 = V982660. assign V194468 = V749765 - 1. assign V853926 = V041081 + 1. assign V466317 = V781750 + 1. assign V237791 = V084177. assign V045452 = V853926 - 1. assign V178943 = V781750 - 1. assign V558706 = V131675.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V832994 = V666230 + 1. assign V537552 = V736527 - 1. assign V652019 = V314882 + 1. assign V217538 = V884085 + 1. assign V131675 = V832994. assign V759608 = V375340 - 1. assign V296533 = V041081. assign V539958 = V906508 - 1. assign V314882 = V088296 + 1. assign V292642 = V652019. assign V617362 = V525625 - 1. assign V518580 = V652019 + 1. assign V040154 = V853926 + 1. assign V387820 = V666230 + 1. assign V486157 = V514176 + 1. assign V021980 = V088296 - 1. assign V170215 = V178943 + 1. assign V884085 = V334177. assign V525625 = V597052 - 1. assign V942197 = V178943 + 1. assign V727128 = V539958. assign V501596 = V785802 + 1. assign V070021 = V736527. assign V041081 = V515331. assign V350080 = V902060 - 1. assign V514176 = V131675 - 1. assign V761609 = V486157 - 1. assign V410931 = V339817 - 1. assign V749765 = V525625 - 1. assign V339817 = V515331. assign V785802 = V369579. assign V906508 = V334177. assign V197961 = V998342 + 1. assign V303858 = V617362 + 1. assign V369579 = V303858. assign V589040 = V501596. assign V707532 = V942197 + 1. assign V242146 = V026216. assign V334177 = V666230 + 1. assign V998342 = V239784. assign V991858 = V242146 - 1. assign V812939 = V334177 - 1. assign V982660 = V437261 - 1. assign V113382 = V040154 + 1. assign V736527 = V951837. assign V066311 = V832994 + 1. assign V742391 = V537552 + 1. assign V896021 = V655949 + 1. assign V458709 = V951837 - 1. assign V329214 = V515331 - 1. assign V256327 = V070021. assign V951837 = V088296 + 1. assign V437261 = V812939 - 1. assign V260406 = V021980 - 1. assign V781750 = V131675. assign V239784 = V387820. assign V655949 = 1. assign V957407 = V759608 + 1. assign V024213 = V458709. assign V669830 = V604773 + 1. assign V668490 = V387820 - 1. assign V694399 = V537552 + 1. assign V084712 = V652019 + 1. assign V604773 = V942197 - 1. assign V084177 = V314882 - 1. assign V088296 = V131675. assign V068368 = V969789 - 1. assign V508909 = V026216. assign V026004 = V334177 - 1. assign V532360 = V170215 - 1. assign V375340 = V387820. assign V298104 = V969789 + 1. assign V902060 = V652019. assign V391885 = V558706 - 1. assign V026216 = V884085 + 1. assign V597052 = V781750. assign V969789 = V131675. assign V515331 = V334177 + 1. assign V041632 = V982660. assign V194468 = V749765 - 1. assign V853926 = V041081 + 1. assign V466317 = V781750 + 1. assign V237791 = V084177. assign V045452 = V853926 - 1. assign V178943 = V781750 - 1. assign V558706 = V131675.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV655949 = 1;\n\nFrom these direct assignment(s), we have: \nV896021 = V655949 + 1 = 1 + 1 =2;\nNo other variables can be derived from V896021;\nNo other variables can be derived from V655949;\n\nNow we have done all the calculations. Derived variables are:\nV655949 = 1;\nV896021 = 2;\n\nNow we have finished this problem. ANSWER:\nV896021\n", "role": "assistant" } ]

[ "V758482", "V459971" ]

[ { "content": "<context>\nassign V707825 = V101999. assign V006394 = V017096. assign V556702 = V445464 - 1. assign V502248 = V931599. assign V521187 = V898945 + 1. assign V190054 = V162274. assign V017096 = V578508 + 1. assign V976589 = V931599 - 1. assign V822224 = V984842 - 1. assign V334446 = V865756 + 1. assign V023104 = V521187 - 1. assign V838372 = V105370. assign V901663 = V277779 + 1. assign V907380 = V529921 + 1. assign V467504 = V445464. assign V328067 = V017096. assign V459971 = V758482. assign V613319 = V822224 + 1. assign V918504 = V445464 - 1. assign V062934 = V006394 - 1. assign V931059 = V838372 - 1. assign V865756 = V931599 - 1. assign V663789 = V901663 + 1. assign V576472 = V416631. assign V756208 = V901663 - 1. assign V680411 = V976589. assign V725959 = V931599 + 1. assign V686141 = V445784 - 1. assign V263008 = V510776 - 1. assign V952428 = V361478. assign V314352 = V865756 + 1. assign V082553 = V416631 + 1. assign V590732 = V467504. assign V139640 = V061873. assign V398471 = V822224 + 1. assign V998622 = V088819 + 1. assign V785395 = V521187 + 1. assign V752586 = V576472. assign V104978 = V416631. assign V096547 = V445464 + 1. assign V106715 = V529921 + 1. assign V162274 = V104978 + 1. assign V931599 = V061873 - 1. assign V101999 = V756208 + 1. assign V791714 = V920729 + 1. assign V416631 = V578508 - 1. assign V061873 = V578508. assign V574522 = V277779. assign V361478 = V012926. assign V591131 = V139640 - 1. assign V758482 = 2. assign V973299 = V445464 - 1. assign V088819 = V752586 - 1. assign V029330 = V918504 + 1. assign V257613 = V529921 - 1. assign V677883 = V973299 + 1. assign V827840 = V725959. assign V466254 = V467504 + 1. assign V529921 = V061873 + 1. assign V510776 = V466254 - 1. assign V719226 = V578508 - 1. assign V031550 = V578508 - 1. assign V920729 = V466254 + 1. assign V235918 = V920729 - 1. assign V738844 = V416631 + 1. assign V277779 = V445464 - 1. assign V853893 = V017096 + 1. assign V898945 = V277779 - 1. assign V285707 = V023104 + 1. assign V452012 = V104978 - 1. assign V350586 = V104978 + 1. assign V879308 = V235918 - 1. assign V799244 = V285707 + 1. assign V521999 = V263008. assign V105370 = V096547 - 1. assign V957855 = V105370. assign V012926 = V334446 - 1. assign V985682 = V510776 - 1. assign V919946 = V901663. assign V696806 = V445464 - 1. assign V705611 = V467504 + 1. assign V502545 = V398471. assign V984842 = V838372. assign V359420 = V677883 + 1. assign V578508 = V445464. assign V445784 = V705611 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V707825 = V101999. assign V006394 = V017096. assign V556702 = V445464 - 1. assign V502248 = V931599. assign V521187 = V898945 + 1. assign V190054 = V162274. assign V017096 = V578508 + 1. assign V976589 = V931599 - 1. assign V822224 = V984842 - 1. assign V334446 = V865756 + 1. assign V023104 = V521187 - 1. assign V838372 = V105370. assign V901663 = V277779 + 1. assign V907380 = V529921 + 1. assign V467504 = V445464. assign V328067 = V017096. assign V459971 = V758482. assign V613319 = V822224 + 1. assign V918504 = V445464 - 1. assign V062934 = V006394 - 1. assign V931059 = V838372 - 1. assign V865756 = V931599 - 1. assign V663789 = V901663 + 1. assign V576472 = V416631. assign V756208 = V901663 - 1. assign V680411 = V976589. assign V725959 = V931599 + 1. assign V686141 = V445784 - 1. assign V263008 = V510776 - 1. assign V952428 = V361478. assign V314352 = V865756 + 1. assign V082553 = V416631 + 1. assign V590732 = V467504. assign V139640 = V061873. assign V398471 = V822224 + 1. assign V998622 = V088819 + 1. assign V785395 = V521187 + 1. assign V752586 = V576472. assign V104978 = V416631. assign V096547 = V445464 + 1. assign V106715 = V529921 + 1. assign V162274 = V104978 + 1. assign V931599 = V061873 - 1. assign V101999 = V756208 + 1. assign V791714 = V920729 + 1. assign V416631 = V578508 - 1. assign V061873 = V578508. assign V574522 = V277779. assign V361478 = V012926. assign V591131 = V139640 - 1. assign V758482 = 2. assign V973299 = V445464 - 1. assign V088819 = V752586 - 1. assign V029330 = V918504 + 1. assign V257613 = V529921 - 1. assign V677883 = V973299 + 1. assign V827840 = V725959. assign V466254 = V467504 + 1. assign V529921 = V061873 + 1. assign V510776 = V466254 - 1. assign V719226 = V578508 - 1. assign V031550 = V578508 - 1. assign V920729 = V466254 + 1. assign V235918 = V920729 - 1. assign V738844 = V416631 + 1. assign V277779 = V445464 - 1. assign V853893 = V017096 + 1. assign V898945 = V277779 - 1. assign V285707 = V023104 + 1. assign V452012 = V104978 - 1. assign V350586 = V104978 + 1. assign V879308 = V235918 - 1. assign V799244 = V285707 + 1. assign V521999 = V263008. assign V105370 = V096547 - 1. assign V957855 = V105370. assign V012926 = V334446 - 1. assign V985682 = V510776 - 1. assign V919946 = V901663. assign V696806 = V445464 - 1. assign V705611 = V467504 + 1. assign V502545 = V398471. assign V984842 = V838372. assign V359420 = V677883 + 1. assign V578508 = V445464. assign V445784 = V705611 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV758482 = 2;\n\nFrom these direct assignment(s), we have: \nV459971 = V758482 = 2;\nNo other variables can be derived from V459971;\nNo other variables can be derived from V758482;\n\nNow we have done all the calculations. Derived variables are:\nV758482 = 2;\nV459971 = 2;\n\nNow we have finished this problem. ANSWER:\nV758482, V459971\n", "role": "assistant" } ]

[ "V968260" ]

[ { "content": "<context>\nassign V286066 = V549340. assign V689043 = V286066 + 1. assign V447275 = V200157. assign V109967 = V549267. assign V015772 = V549340 + 1. assign V249963 = V404135. assign V412160 = V147346. assign V269794 = V200157 + 1. assign V628196 = V567750 + 1. assign V509592 = V138677 + 1. assign V392791 = V549267 + 1. assign V404135 = V158508 + 1. assign V549340 = V483719 - 1. assign V565981 = V545818 - 1. assign V260200 = V490273. assign V717551 = V212454 - 1. assign V630002 = V747416. assign V188424 = V911039. assign V667676 = V365417 + 1. assign V681831 = V545818. assign V223163 = V630002 + 1. assign V545818 = V483719. assign V147346 = V380757. assign V484293 = V395450. assign V843961 = V200157. assign V200157 = V806000 - 1. assign V322693 = V806000 - 1. assign V490273 = V380757 + 1. assign V158508 = V549340 + 1. assign V400839 = V667676. assign V934616 = 2. assign V806000 = V126782 + 1. assign V126782 = V545818 - 1. assign V012820 = V103518 - 1. assign V242934 = V057261. assign V880057 = V365417 + 1. assign V271953 = V126782 - 1. assign V380757 = V549340 + 1. assign V149389 = V371814 - 1. assign V911039 = V641265. assign V968260 = V934616 + 1. assign V357917 = V549340. assign V142062 = V843961 - 1. assign V243321 = V628196. assign V301727 = V158508 + 1. assign V057261 = V236344 + 1. assign V271334 = V565981 - 1. assign V189433 = V404135 + 1. assign V795765 = V147346 - 1. assign V138677 = V117967 - 1. assign V504008 = V371814 + 1. assign V218267 = V747416. assign V793505 = V322693 - 1. assign V567750 = V212454 - 1. assign V747416 = V395450 + 1. assign V926023 = V147346 - 1. assign V034489 = V147346. assign V641265 = V880057 - 1. assign V236344 = V365417 - 1. assign V378787 = V380757. assign V016316 = V806000 + 1. assign V489421 = V380757. assign V995100 = V641265 - 1. assign V212454 = V357917 - 1. assign V549267 = V490273 - 1. assign V631335 = V681831 - 1. assign V163325 = V378787 - 1. assign V950906 = V212454. assign V668860 = V322693 + 1. assign V365417 = V380757. assign V465341 = V117967 - 1. assign V395450 = V545818 - 1. assign V378780 = V378787. assign V739640 = V546064 + 1. assign V811406 = V447275. assign V371814 = V412160. assign V983932 = V793505 - 1. assign V103518 = V249963 - 1. assign V581615 = V158508 - 1. assign V845111 = V269794. assign V676159 = V795765 + 1. assign V546064 = V504008 + 1. assign V926552 = V189433 - 1. assign V636087 = V057261 + 1. assign V117967 = V322693 + 1. assign V282103 = V843961.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V286066 = V549340. assign V689043 = V286066 + 1. assign V447275 = V200157. assign V109967 = V549267. assign V015772 = V549340 + 1. assign V249963 = V404135. assign V412160 = V147346. assign V269794 = V200157 + 1. assign V628196 = V567750 + 1. assign V509592 = V138677 + 1. assign V392791 = V549267 + 1. assign V404135 = V158508 + 1. assign V549340 = V483719 - 1. assign V565981 = V545818 - 1. assign V260200 = V490273. assign V717551 = V212454 - 1. assign V630002 = V747416. assign V188424 = V911039. assign V667676 = V365417 + 1. assign V681831 = V545818. assign V223163 = V630002 + 1. assign V545818 = V483719. assign V147346 = V380757. assign V484293 = V395450. assign V843961 = V200157. assign V200157 = V806000 - 1. assign V322693 = V806000 - 1. assign V490273 = V380757 + 1. assign V158508 = V549340 + 1. assign V400839 = V667676. assign V934616 = 2. assign V806000 = V126782 + 1. assign V126782 = V545818 - 1. assign V012820 = V103518 - 1. assign V242934 = V057261. assign V880057 = V365417 + 1. assign V271953 = V126782 - 1. assign V380757 = V549340 + 1. assign V149389 = V371814 - 1. assign V911039 = V641265. assign V968260 = V934616 + 1. assign V357917 = V549340. assign V142062 = V843961 - 1. assign V243321 = V628196. assign V301727 = V158508 + 1. assign V057261 = V236344 + 1. assign V271334 = V565981 - 1. assign V189433 = V404135 + 1. assign V795765 = V147346 - 1. assign V138677 = V117967 - 1. assign V504008 = V371814 + 1. assign V218267 = V747416. assign V793505 = V322693 - 1. assign V567750 = V212454 - 1. assign V747416 = V395450 + 1. assign V926023 = V147346 - 1. assign V034489 = V147346. assign V641265 = V880057 - 1. assign V236344 = V365417 - 1. assign V378787 = V380757. assign V016316 = V806000 + 1. assign V489421 = V380757. assign V995100 = V641265 - 1. assign V212454 = V357917 - 1. assign V549267 = V490273 - 1. assign V631335 = V681831 - 1. assign V163325 = V378787 - 1. assign V950906 = V212454. assign V668860 = V322693 + 1. assign V365417 = V380757. assign V465341 = V117967 - 1. assign V395450 = V545818 - 1. assign V378780 = V378787. assign V739640 = V546064 + 1. assign V811406 = V447275. assign V371814 = V412160. assign V983932 = V793505 - 1. assign V103518 = V249963 - 1. assign V581615 = V158508 - 1. assign V845111 = V269794. assign V676159 = V795765 + 1. assign V546064 = V504008 + 1. assign V926552 = V189433 - 1. assign V636087 = V057261 + 1. assign V117967 = V322693 + 1. assign V282103 = V843961.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV934616 = 2;\n\nFrom these direct assignment(s), we have: \nV968260 = V934616 + 1 = 2 + 1 =3;\nNo other variables can be derived from V968260;\nNo other variables can be derived from V934616;\n\nNow we have done all the calculations. Derived variables are:\nV934616 = 2;\nV968260 = 3;\n\nNow we have finished this problem. ANSWER:\nV968260\n", "role": "assistant" } ]

[ "V067699", "V409223" ]

[ { "content": "<context>\nassign V030338 = V721489 + 1. assign V027850 = V841466. assign V935380 = V257452 - 1. assign V031753 = V309765 + 1. assign V422020 = V973851 + 1. assign V351536 = V082168 - 1. assign V765935 = V664551 - 1. assign V302122 = V549421 - 1. assign V433218 = V780175 + 1. assign V878003 = V450437 + 1. assign V309765 = V486023. assign V619148 = V973851 + 1. assign V246718 = V708164. assign V050413 = V721489 - 1. assign V527911 = V450437 + 1. assign V352642 = V332689 - 1. assign V946630 = V405366 + 1. assign V054121 = V450437. assign V664551 = V050413. assign V973851 = V527911 + 1. assign V177057 = V054121 - 1. assign V111316 = V549421 + 1. assign V450437 = V549421 + 1. assign V823373 = V094729. assign V715670 = V486023 - 1. assign V747077 = V780175 + 1. assign V921839 = V772934 + 1. assign V630509 = V570122 + 1. assign V254470 = V192885 - 1. assign V841466 = V279880 - 1. assign V409223 = V067699. assign V570122 = V366032 - 1. assign V279880 = V297485. assign V940259 = V082168 - 1. assign V880509 = V302122 - 1. assign V932394 = V871566 - 1. assign V201516 = V279880. assign V772934 = V405366. assign V947030 = V007795 + 1. assign V366032 = V111316 - 1. assign V812476 = V530752 - 1. assign V168955 = V772934 + 1. assign V708164 = V450437. assign V332689 = V721489 + 1. assign V082168 = V450437 + 1. assign V392458 = V027850 + 1. assign V297485 = V302122. assign V486023 = V450437. assign V179026 = V111316. assign V568145 = V302122 + 1. assign V771929 = V357239 + 1. assign V780175 = V721489 + 1. assign V192885 = V050413 - 1. assign V855250 = V785427 - 1. assign V530752 = V549421 - 1. assign V573536 = V753834. assign V094729 = V177057 - 1. assign V633868 = V268019 + 1. assign V007795 = V450437 + 1. assign V067699 = 9. assign V809632 = V461745 + 1. assign V461745 = V297485 - 1. assign V330975 = V201516 + 1. assign V268019 = V932394 - 1. assign V405366 = V450437 + 1. assign V785427 = V366032 - 1. assign V801710 = V878003 + 1. assign V118742 = V279880. assign V787880 = V050413 - 1. assign V482644 = V973851 - 1. assign V288607 = V785427 - 1. assign V721489 = V405366 + 1. assign V532688 = V932394 + 1. assign V332076 = V787880 - 1. assign V871566 = V302122 - 1. assign V936898 = V721489 + 1. assign V676447 = V921839 - 1. assign V023284 = V880509 + 1. assign V357239 = V302122. assign V141010 = V771929 + 1. assign V753834 = V177057 + 1. assign V042700 = V050413 - 1. assign V856031 = V054121. assign V257452 = V054121 - 1. assign V477089 = V192885 - 1. assign V078936 = V530752 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V030338 = V721489 + 1. assign V027850 = V841466. assign V935380 = V257452 - 1. assign V031753 = V309765 + 1. assign V422020 = V973851 + 1. assign V351536 = V082168 - 1. assign V765935 = V664551 - 1. assign V302122 = V549421 - 1. assign V433218 = V780175 + 1. assign V878003 = V450437 + 1. assign V309765 = V486023. assign V619148 = V973851 + 1. assign V246718 = V708164. assign V050413 = V721489 - 1. assign V527911 = V450437 + 1. assign V352642 = V332689 - 1. assign V946630 = V405366 + 1. assign V054121 = V450437. assign V664551 = V050413. assign V973851 = V527911 + 1. assign V177057 = V054121 - 1. assign V111316 = V549421 + 1. assign V450437 = V549421 + 1. assign V823373 = V094729. assign V715670 = V486023 - 1. assign V747077 = V780175 + 1. assign V921839 = V772934 + 1. assign V630509 = V570122 + 1. assign V254470 = V192885 - 1. assign V841466 = V279880 - 1. assign V409223 = V067699. assign V570122 = V366032 - 1. assign V279880 = V297485. assign V940259 = V082168 - 1. assign V880509 = V302122 - 1. assign V932394 = V871566 - 1. assign V201516 = V279880. assign V772934 = V405366. assign V947030 = V007795 + 1. assign V366032 = V111316 - 1. assign V812476 = V530752 - 1. assign V168955 = V772934 + 1. assign V708164 = V450437. assign V332689 = V721489 + 1. assign V082168 = V450437 + 1. assign V392458 = V027850 + 1. assign V297485 = V302122. assign V486023 = V450437. assign V179026 = V111316. assign V568145 = V302122 + 1. assign V771929 = V357239 + 1. assign V780175 = V721489 + 1. assign V192885 = V050413 - 1. assign V855250 = V785427 - 1. assign V530752 = V549421 - 1. assign V573536 = V753834. assign V094729 = V177057 - 1. assign V633868 = V268019 + 1. assign V007795 = V450437 + 1. assign V067699 = 9. assign V809632 = V461745 + 1. assign V461745 = V297485 - 1. assign V330975 = V201516 + 1. assign V268019 = V932394 - 1. assign V405366 = V450437 + 1. assign V785427 = V366032 - 1. assign V801710 = V878003 + 1. assign V118742 = V279880. assign V787880 = V050413 - 1. assign V482644 = V973851 - 1. assign V288607 = V785427 - 1. assign V721489 = V405366 + 1. assign V532688 = V932394 + 1. assign V332076 = V787880 - 1. assign V871566 = V302122 - 1. assign V936898 = V721489 + 1. assign V676447 = V921839 - 1. assign V023284 = V880509 + 1. assign V357239 = V302122. assign V141010 = V771929 + 1. assign V753834 = V177057 + 1. assign V042700 = V050413 - 1. assign V856031 = V054121. assign V257452 = V054121 - 1. assign V477089 = V192885 - 1. assign V078936 = V530752 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV067699 = 9;\n\nFrom these direct assignment(s), we have: \nV409223 = V067699 = 9;\nNo other variables can be derived from V409223;\nNo other variables can be derived from V067699;\n\nNow we have done all the calculations. Derived variables are:\nV067699 = 9;\nV409223 = 9;\n\nNow we have finished this problem. ANSWER:\nV067699, V409223\n", "role": "assistant" } ]

[ "V067724" ]

[ { "content": "<context>\nassign V556856 = V247243. assign V993320 = V538856. assign V125184 = V448155 - 1. assign V153477 = V205874 - 1. assign V966249 = V169076. assign V067724 = V272639 - 1. assign V071686 = V941543 + 1. assign V810961 = V919306 - 1. assign V602602 = V855630 + 1. assign V108895 = V508377 - 1. assign V128635 = V977920 - 1. assign V632748 = V521671 - 1. assign V781239 = V205874 - 1. assign V647801 = V153477 + 1. assign V075635 = V810922. assign V695893 = V142077 - 1. assign V893943 = V142077 + 1. assign V348699 = V977920 + 1. assign V579570 = V873607. assign V897030 = V650016 + 1. assign V521671 = V172609. assign V855630 = V781239 + 1. assign V000693 = V530270. assign V272639 = 6. assign V138691 = V640363 - 1. assign V828072 = V355811 + 1. assign V362755 = V984652 + 1. assign V260311 = V538856 + 1. assign V390107 = V919306 - 1. assign V169076 = V030023. assign V835727 = V433830 - 1. assign V629044 = V393309. assign V504270 = V404391 + 1. assign V709218 = V602602 + 1. assign V393309 = V205874 - 1. assign V140919 = V075635 - 1. assign V855412 = V530270 + 1. assign V500321 = V086818. assign V827724 = V501019. assign V817904 = V260311 + 1. assign V238106 = V191813 + 1. assign V047234 = V984652. assign V020097 = V640363 - 1. assign V304275 = V993320. assign V154365 = V332206 + 1. assign V604058 = V893943 - 1. assign V508377 = V604058 - 1. assign V810922 = V142077 - 1. assign V631385 = V810961. assign V247243 = V793715 - 1. assign V650016 = V735075 - 1. assign V667486 = V448155 + 1. assign V735075 = V393309. assign V977920 = V501019 - 1. assign V221015 = V647801 + 1. assign V918516 = V153477. assign V538856 = V919306 - 1. assign V100461 = V172609 + 1. assign V855586 = V332206. assign V142077 = V153477 + 1. assign V448155 = V501019 - 1. assign V984652 = V781239. assign V030023 = V781803 + 1. assign V205874 = V501019 - 1. assign V429807 = V100461. assign V404391 = V793715 + 1. assign V962971 = V142077. assign V793715 = V393309. assign V781803 = V873607 - 1. assign V365558 = V810922. assign V398730 = V602602. assign V640363 = V962971. assign V073191 = V205874 + 1. assign V530270 = V810961. assign V172609 = V153477 - 1. assign V873607 = V153477. assign V086818 = V810922 + 1. assign V355811 = V873607. assign V191813 = V650016. assign V332206 = V827724 - 1. assign V722679 = V020097 + 1. assign V433830 = V205874 + 1. assign V919306 = V501019 - 1. assign V084286 = V629044 - 1. assign V224349 = V631385 - 1. assign V941543 = V873607 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V556856 = V247243. assign V993320 = V538856. assign V125184 = V448155 - 1. assign V153477 = V205874 - 1. assign V966249 = V169076. assign V067724 = V272639 - 1. assign V071686 = V941543 + 1. assign V810961 = V919306 - 1. assign V602602 = V855630 + 1. assign V108895 = V508377 - 1. assign V128635 = V977920 - 1. assign V632748 = V521671 - 1. assign V781239 = V205874 - 1. assign V647801 = V153477 + 1. assign V075635 = V810922. assign V695893 = V142077 - 1. assign V893943 = V142077 + 1. assign V348699 = V977920 + 1. assign V579570 = V873607. assign V897030 = V650016 + 1. assign V521671 = V172609. assign V855630 = V781239 + 1. assign V000693 = V530270. assign V272639 = 6. assign V138691 = V640363 - 1. assign V828072 = V355811 + 1. assign V362755 = V984652 + 1. assign V260311 = V538856 + 1. assign V390107 = V919306 - 1. assign V169076 = V030023. assign V835727 = V433830 - 1. assign V629044 = V393309. assign V504270 = V404391 + 1. assign V709218 = V602602 + 1. assign V393309 = V205874 - 1. assign V140919 = V075635 - 1. assign V855412 = V530270 + 1. assign V500321 = V086818. assign V827724 = V501019. assign V817904 = V260311 + 1. assign V238106 = V191813 + 1. assign V047234 = V984652. assign V020097 = V640363 - 1. assign V304275 = V993320. assign V154365 = V332206 + 1. assign V604058 = V893943 - 1. assign V508377 = V604058 - 1. assign V810922 = V142077 - 1. assign V631385 = V810961. assign V247243 = V793715 - 1. assign V650016 = V735075 - 1. assign V667486 = V448155 + 1. assign V735075 = V393309. assign V977920 = V501019 - 1. assign V221015 = V647801 + 1. assign V918516 = V153477. assign V538856 = V919306 - 1. assign V100461 = V172609 + 1. assign V855586 = V332206. assign V142077 = V153477 + 1. assign V448155 = V501019 - 1. assign V984652 = V781239. assign V030023 = V781803 + 1. assign V205874 = V501019 - 1. assign V429807 = V100461. assign V404391 = V793715 + 1. assign V962971 = V142077. assign V793715 = V393309. assign V781803 = V873607 - 1. assign V365558 = V810922. assign V398730 = V602602. assign V640363 = V962971. assign V073191 = V205874 + 1. assign V530270 = V810961. assign V172609 = V153477 - 1. assign V873607 = V153477. assign V086818 = V810922 + 1. assign V355811 = V873607. assign V191813 = V650016. assign V332206 = V827724 - 1. assign V722679 = V020097 + 1. assign V433830 = V205874 + 1. assign V919306 = V501019 - 1. assign V084286 = V629044 - 1. assign V224349 = V631385 - 1. assign V941543 = V873607 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV272639 = 6;\n\nFrom these direct assignment(s), we have: \nV067724 = V272639 - 1 = 6 - 1 =5;\nNo other variables can be derived from V067724;\nNo other variables can be derived from V272639;\n\nNow we have done all the calculations. Derived variables are:\nV272639 = 6;\nV067724 = 5;\n\nNow we have finished this problem. ANSWER:\nV067724\n", "role": "assistant" } ]

[ "V970461" ]

[ { "content": "<context>\nassign V566384 = V629517 + 1. assign V464853 = V219630 - 1. assign V140186 = V422691 - 1. assign V851720 = V576743 + 1. assign V197754 = V576743. assign V139063 = V862171 - 1. assign V095675 = V357880 + 1. assign V005644 = V911410. assign V069869 = V134496 + 1. assign V598171 = V629517. assign V211661 = V161131 - 1. assign V161131 = V422691 - 1. assign V015921 = V005644 - 1. assign V970461 = 9. assign V926844 = V133308 + 1. assign V143665 = V192940. assign V544304 = V924641 + 1. assign V648381 = V040561. assign V245853 = V211994. assign V166178 = V167585 - 1. assign V359522 = V928680. assign V361036 = V184721 - 1. assign V911410 = V133308 - 1. assign V417462 = V627321 - 1. assign V132340 = V143665. assign V758115 = V185527 - 1. assign V051480 = V192940. assign V171991 = V211661. assign V357880 = V133308 - 1. assign V185527 = V134496 - 1. assign V627321 = V143665 + 1. assign V544273 = V134496 + 1. assign V211994 = V133308 + 1. assign V204261 = V928680. assign V910382 = V759417 - 1. assign V862171 = V464853 + 1. assign V925083 = V204261 - 1. assign V138236 = V193898 - 1. assign V242837 = V506331. assign V193898 = V219630. assign V922920 = V417462 + 1. assign V298309 = V627321. assign V254504 = V930329. assign V713353 = V521176 + 1. assign V923455 = V197754. assign V074058 = V134496. assign V219630 = V759417 - 1. assign V656194 = V040561 - 1. assign V069421 = V627321. assign V107250 = V928680. assign V930329 = V107250. assign V456976 = V167585 + 1. assign V942767 = V462691 - 1. assign V274857 = V165692. assign V133308 = V197754 + 1. assign V924641 = V713353 + 1. assign V461708 = V422691 + 1. assign V165692 = V192940 - 1. assign V134496 = V197754. assign V107130 = V359522 + 1. assign V521176 = V417462 + 1. assign V184721 = V506331. assign V003844 = V040561 + 1. assign V629517 = V359674 - 1. assign V192940 = V359674 - 1. assign V927699 = V910382 + 1. assign V203722 = V134496. assign V987883 = V970461 - 1. assign V462691 = V434427 - 1. assign V180209 = V359522 + 1. assign V334892 = V185527 + 1. assign V172505 = V537663 + 1. assign V359674 = V107130. assign V097725 = V204261 + 1. assign V272989 = V104918 - 1. assign V241748 = V197754. assign V506331 = V759417 + 1. assign V759417 = V576743. assign V356710 = V359522 + 1. assign V928680 = V759417 + 1. assign V434427 = V851720 - 1. assign V537663 = V069421 + 1. assign V104918 = V192940 + 1. assign V167585 = V713353. assign V040561 = V107130 + 1. assign V422691 = V359522 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V566384 = V629517 + 1. assign V464853 = V219630 - 1. assign V140186 = V422691 - 1. assign V851720 = V576743 + 1. assign V197754 = V576743. assign V139063 = V862171 - 1. assign V095675 = V357880 + 1. assign V005644 = V911410. assign V069869 = V134496 + 1. assign V598171 = V629517. assign V211661 = V161131 - 1. assign V161131 = V422691 - 1. assign V015921 = V005644 - 1. assign V970461 = 9. assign V926844 = V133308 + 1. assign V143665 = V192940. assign V544304 = V924641 + 1. assign V648381 = V040561. assign V245853 = V211994. assign V166178 = V167585 - 1. assign V359522 = V928680. assign V361036 = V184721 - 1. assign V911410 = V133308 - 1. assign V417462 = V627321 - 1. assign V132340 = V143665. assign V758115 = V185527 - 1. assign V051480 = V192940. assign V171991 = V211661. assign V357880 = V133308 - 1. assign V185527 = V134496 - 1. assign V627321 = V143665 + 1. assign V544273 = V134496 + 1. assign V211994 = V133308 + 1. assign V204261 = V928680. assign V910382 = V759417 - 1. assign V862171 = V464853 + 1. assign V925083 = V204261 - 1. assign V138236 = V193898 - 1. assign V242837 = V506331. assign V193898 = V219630. assign V922920 = V417462 + 1. assign V298309 = V627321. assign V254504 = V930329. assign V713353 = V521176 + 1. assign V923455 = V197754. assign V074058 = V134496. assign V219630 = V759417 - 1. assign V656194 = V040561 - 1. assign V069421 = V627321. assign V107250 = V928680. assign V930329 = V107250. assign V456976 = V167585 + 1. assign V942767 = V462691 - 1. assign V274857 = V165692. assign V133308 = V197754 + 1. assign V924641 = V713353 + 1. assign V461708 = V422691 + 1. assign V165692 = V192940 - 1. assign V134496 = V197754. assign V107130 = V359522 + 1. assign V521176 = V417462 + 1. assign V184721 = V506331. assign V003844 = V040561 + 1. assign V629517 = V359674 - 1. assign V192940 = V359674 - 1. assign V927699 = V910382 + 1. assign V203722 = V134496. assign V987883 = V970461 - 1. assign V462691 = V434427 - 1. assign V180209 = V359522 + 1. assign V334892 = V185527 + 1. assign V172505 = V537663 + 1. assign V359674 = V107130. assign V097725 = V204261 + 1. assign V272989 = V104918 - 1. assign V241748 = V197754. assign V506331 = V759417 + 1. assign V759417 = V576743. assign V356710 = V359522 + 1. assign V928680 = V759417 + 1. assign V434427 = V851720 - 1. assign V537663 = V069421 + 1. assign V104918 = V192940 + 1. assign V167585 = V713353. assign V040561 = V107130 + 1. assign V422691 = V359522 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV970461 = 9;\n\nFrom these direct assignment(s), we have: \nV987883 = V970461 - 1 = 9 - 1 =8;\nNo other variables can be derived from V987883;\nNo other variables can be derived from V970461;\n\nNow we have done all the calculations. Derived variables are:\nV970461 = 9;\nV987883 = 8;\n\nNow we have finished this problem. ANSWER:\nV970461\n", "role": "assistant" } ]

[ "V518469" ]

[ { "content": "<context>\nassign V058411 = V736474 + 1. assign V544343 = V161524 - 1. assign V611967 = V594474 + 1. assign V117874 = V611967 - 1. assign V770680 = V611967. assign V245503 = V369943 - 1. assign V353577 = V611967. assign V674449 = V518469 - 1. assign V518469 = 5. assign V111465 = V496489. assign V739553 = V055230 - 1. assign V061706 = V016497 + 1. assign V805643 = V567666 - 1. assign V255700 = V571372 - 1. assign V999622 = V458391 - 1. assign V759010 = V429862. assign V368003 = V611967 + 1. assign V016497 = V371723. assign V609666 = V208096 + 1. assign V552228 = V245503 - 1. assign V011277 = V454241. assign V883552 = V371723 + 1. assign V078717 = V594474 - 1. assign V620045 = V895647 - 1. assign V429862 = V195330. assign V783741 = V382430 - 1. assign V875166 = V503407 + 1. assign V473059 = V875166 + 1. assign V556507 = V458391. assign V842982 = V750676 - 1. assign V321242 = V614142 - 1. assign V507200 = V614142 + 1. assign V382430 = V594474 - 1. assign V371723 = V552228. assign V877056 = V496489. assign V803386 = V496489 - 1. assign V369943 = V770680. assign V554616 = V770680. assign V696227 = V116850. assign V524817 = V349800 - 1. assign V116850 = V382430 + 1. assign V170533 = V554616 + 1. assign V850468 = V368003 + 1. assign V571372 = V529585. assign V503219 = V842982 + 1. assign V467913 = V877056. assign V679726 = V161524. assign V574756 = V382430 + 1. assign V529585 = V349800 - 1. assign V691016 = V255700. assign V173416 = V496489 - 1. assign V949496 = V173416. assign V161524 = V611967. assign V614142 = V877056 + 1. assign V984824 = V594474 + 1. assign V000941 = V594474. assign V089019 = V518533 + 1. assign V518533 = V739553 + 1. assign V084653 = V000941 + 1. assign V496489 = V082433 + 1. assign V042278 = V507200 + 1. assign V246437 = V875166. assign V208096 = V918594 - 1. assign V655325 = V116850 - 1. assign V025346 = V770680. assign V665078 = V842982. assign V195330 = V984824 - 1. assign V918594 = V369943 + 1. assign V750676 = V025346 + 1. assign V454241 = V507200. assign V895647 = V321242 + 1. assign V621309 = V173416 - 1. assign V055230 = V614142 - 1. assign V503407 = V349800 + 1. assign V458391 = V000941 + 1. assign V972338 = V571372 - 1. assign V368281 = V611967. assign V082433 = V215333. assign V567666 = V245503 + 1. assign V071326 = V783741 + 1. assign V614854 = V368003 - 1. assign V215333 = V594474 + 1. assign V009239 = V161524 - 1. assign V736474 = V368003 + 1. assign V612367 = V770680. assign V349800 = V594474 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V058411 = V736474 + 1. assign V544343 = V161524 - 1. assign V611967 = V594474 + 1. assign V117874 = V611967 - 1. assign V770680 = V611967. assign V245503 = V369943 - 1. assign V353577 = V611967. assign V674449 = V518469 - 1. assign V518469 = 5. assign V111465 = V496489. assign V739553 = V055230 - 1. assign V061706 = V016497 + 1. assign V805643 = V567666 - 1. assign V255700 = V571372 - 1. assign V999622 = V458391 - 1. assign V759010 = V429862. assign V368003 = V611967 + 1. assign V016497 = V371723. assign V609666 = V208096 + 1. assign V552228 = V245503 - 1. assign V011277 = V454241. assign V883552 = V371723 + 1. assign V078717 = V594474 - 1. assign V620045 = V895647 - 1. assign V429862 = V195330. assign V783741 = V382430 - 1. assign V875166 = V503407 + 1. assign V473059 = V875166 + 1. assign V556507 = V458391. assign V842982 = V750676 - 1. assign V321242 = V614142 - 1. assign V507200 = V614142 + 1. assign V382430 = V594474 - 1. assign V371723 = V552228. assign V877056 = V496489. assign V803386 = V496489 - 1. assign V369943 = V770680. assign V554616 = V770680. assign V696227 = V116850. assign V524817 = V349800 - 1. assign V116850 = V382430 + 1. assign V170533 = V554616 + 1. assign V850468 = V368003 + 1. assign V571372 = V529585. assign V503219 = V842982 + 1. assign V467913 = V877056. assign V679726 = V161524. assign V574756 = V382430 + 1. assign V529585 = V349800 - 1. assign V691016 = V255700. assign V173416 = V496489 - 1. assign V949496 = V173416. assign V161524 = V611967. assign V614142 = V877056 + 1. assign V984824 = V594474 + 1. assign V000941 = V594474. assign V089019 = V518533 + 1. assign V518533 = V739553 + 1. assign V084653 = V000941 + 1. assign V496489 = V082433 + 1. assign V042278 = V507200 + 1. assign V246437 = V875166. assign V208096 = V918594 - 1. assign V655325 = V116850 - 1. assign V025346 = V770680. assign V665078 = V842982. assign V195330 = V984824 - 1. assign V918594 = V369943 + 1. assign V750676 = V025346 + 1. assign V454241 = V507200. assign V895647 = V321242 + 1. assign V621309 = V173416 - 1. assign V055230 = V614142 - 1. assign V503407 = V349800 + 1. assign V458391 = V000941 + 1. assign V972338 = V571372 - 1. assign V368281 = V611967. assign V082433 = V215333. assign V567666 = V245503 + 1. assign V071326 = V783741 + 1. assign V614854 = V368003 - 1. assign V215333 = V594474 + 1. assign V009239 = V161524 - 1. assign V736474 = V368003 + 1. assign V612367 = V770680. assign V349800 = V594474 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV518469 = 5;\n\nFrom these direct assignment(s), we have: \nV674449 = V518469 - 1 = 5 - 1 =4;\nNo other variables can be derived from V674449;\nNo other variables can be derived from V518469;\n\nNow we have done all the calculations. Derived variables are:\nV518469 = 5;\nV674449 = 4;\n\nNow we have finished this problem. ANSWER:\nV518469\n", "role": "assistant" } ]

[ "V123212" ]

[ { "content": "<context>\nassign V625905 = V928326 + 1. assign V893016 = V433521. assign V711765 = V824569 - 1. assign V692506 = V563433 - 1. assign V200439 = V274614 - 1. assign V962436 = V747602 - 1. assign V515891 = V200439 - 1. assign V593095 = V962436 - 1. assign V305837 = V200439 + 1. assign V401635 = V123212 - 1. assign V280078 = V893016. assign V052057 = V541070 + 1. assign V069577 = V546861 - 1. assign V284114 = V625905 + 1. assign V144981 = V375587 - 1. assign V281457 = V824569 + 1. assign V604354 = V747602 + 1. assign V301231 = V068080 - 1. assign V123212 = 1. assign V074283 = V923066. assign V579992 = V893016. assign V824569 = V928326 - 1. assign V546861 = V173347 + 1. assign V923066 = V280078. assign V563433 = V947928. assign V412531 = V928326. assign V199058 = V144981. assign V304739 = V824569. assign V217975 = V541070. assign V210161 = V893016 - 1. assign V488236 = V117831 + 1. assign V069992 = V389482 + 1. assign V464223 = V747602 + 1. assign V597175 = V541070 + 1. assign V259923 = V625905 + 1. assign V027608 = V947928. assign V795172 = V389482 + 1. assign V766503 = V083661 + 1. assign V859777 = V464223. assign V482382 = V962436 - 1. assign V309423 = V604354 - 1. assign V943628 = V191665 + 1. assign V781169 = V755120. assign V329032 = V259923 - 1. assign V511908 = V026670. assign V797330 = V859777 + 1. assign V767719 = V259923 - 1. assign V515508 = V597175. assign V350177 = V904142 + 1. assign V034158 = V173347. assign V433521 = V541070 + 1. assign V274614 = V928326 + 1. assign V904142 = V478714. assign V755120 = V747602. assign V173347 = V563433 + 1. assign V117831 = V824569. assign V026670 = V947928. assign V070884 = V482382 - 1. assign V231613 = V309423 + 1. assign V706674 = V928326. assign V691124 = V928326 - 1. assign V389482 = V755120. assign V928326 = V747602. assign V478714 = V217975 + 1. assign V240462 = V604354 - 1. assign V039735 = V200439. assign V172995 = V281457 - 1. assign V613337 = V068080 - 1. assign V218641 = V478714 + 1. assign V420532 = V711765 + 1. assign V375587 = V482382 + 1. assign V879486 = V309423 - 1. assign V165874 = V755120. assign V083661 = V541070 - 1. assign V541070 = V928326 + 1. assign V667564 = V420532 + 1. assign V303049 = V755120 + 1. assign V068080 = V070884. assign V191665 = V962436 + 1. assign V095857 = V259923. assign V947928 = V464223 + 1. assign V759753 = V301231 - 1. assign V570714 = V165874. assign V874373 = V464223 + 1. assign V162631 = V074283. assign V438114 = V191665 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V625905 = V928326 + 1. assign V893016 = V433521. assign V711765 = V824569 - 1. assign V692506 = V563433 - 1. assign V200439 = V274614 - 1. assign V962436 = V747602 - 1. assign V515891 = V200439 - 1. assign V593095 = V962436 - 1. assign V305837 = V200439 + 1. assign V401635 = V123212 - 1. assign V280078 = V893016. assign V052057 = V541070 + 1. assign V069577 = V546861 - 1. assign V284114 = V625905 + 1. assign V144981 = V375587 - 1. assign V281457 = V824569 + 1. assign V604354 = V747602 + 1. assign V301231 = V068080 - 1. assign V123212 = 1. assign V074283 = V923066. assign V579992 = V893016. assign V824569 = V928326 - 1. assign V546861 = V173347 + 1. assign V923066 = V280078. assign V563433 = V947928. assign V412531 = V928326. assign V199058 = V144981. assign V304739 = V824569. assign V217975 = V541070. assign V210161 = V893016 - 1. assign V488236 = V117831 + 1. assign V069992 = V389482 + 1. assign V464223 = V747602 + 1. assign V597175 = V541070 + 1. assign V259923 = V625905 + 1. assign V027608 = V947928. assign V795172 = V389482 + 1. assign V766503 = V083661 + 1. assign V859777 = V464223. assign V482382 = V962436 - 1. assign V309423 = V604354 - 1. assign V943628 = V191665 + 1. assign V781169 = V755120. assign V329032 = V259923 - 1. assign V511908 = V026670. assign V797330 = V859777 + 1. assign V767719 = V259923 - 1. assign V515508 = V597175. assign V350177 = V904142 + 1. assign V034158 = V173347. assign V433521 = V541070 + 1. assign V274614 = V928326 + 1. assign V904142 = V478714. assign V755120 = V747602. assign V173347 = V563433 + 1. assign V117831 = V824569. assign V026670 = V947928. assign V070884 = V482382 - 1. assign V231613 = V309423 + 1. assign V706674 = V928326. assign V691124 = V928326 - 1. assign V389482 = V755120. assign V928326 = V747602. assign V478714 = V217975 + 1. assign V240462 = V604354 - 1. assign V039735 = V200439. assign V172995 = V281457 - 1. assign V613337 = V068080 - 1. assign V218641 = V478714 + 1. assign V420532 = V711765 + 1. assign V375587 = V482382 + 1. assign V879486 = V309423 - 1. assign V165874 = V755120. assign V083661 = V541070 - 1. assign V541070 = V928326 + 1. assign V667564 = V420532 + 1. assign V303049 = V755120 + 1. assign V068080 = V070884. assign V191665 = V962436 + 1. assign V095857 = V259923. assign V947928 = V464223 + 1. assign V759753 = V301231 - 1. assign V570714 = V165874. assign V874373 = V464223 + 1. assign V162631 = V074283. assign V438114 = V191665 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV123212 = 1;\n\nFrom these direct assignment(s), we have: \nV401635 = V123212 - 1 = 1 - 1 =0;\nNo other variables can be derived from V401635;\nNo other variables can be derived from V123212;\n\nNow we have done all the calculations. Derived variables are:\nV123212 = 1;\nV401635 = 0;\n\nNow we have finished this problem. ANSWER:\nV123212\n", "role": "assistant" } ]

[ "V871958" ]

[ { "content": "<context>\nassign V439602 = V701260 - 1. assign V007730 = V434160 - 1. assign V339384 = V401004 + 1. assign V375872 = V431021 + 1. assign V289080 = V793096. assign V462374 = V810912 + 1. assign V706283 = V431021. assign V532370 = V623133 - 1. assign V833507 = V339384. assign V180875 = V642068. assign V000531 = V725903. assign V874879 = V434160 + 1. assign V432603 = V879992 + 1. assign V864299 = V699137. assign V650036 = V431021. assign V424092 = V228774. assign V923333 = V001465. assign V689172 = V836416. assign V794708 = V285007 + 1. assign V743771 = V431021. assign V793096 = V623133. assign V715595 = V296902 + 1. assign V879992 = V401004 + 1. assign V810912 = V650036. assign V513059 = V790590. assign V725903 = V401004 + 1. assign V563073 = V596910. assign V412614 = V410180 - 1. assign V836416 = V699137. assign V964554 = V875598 - 1. assign V637826 = V923333. assign V001465 = V164380. assign V200558 = V001465 - 1. assign V714857 = V434160 + 1. assign V098770 = V462374. assign V607433 = V484797 + 1. assign V294403 = V401004 - 1. assign V806567 = V596910 - 1. assign V960209 = V439454 - 1. assign V227134 = V431021 + 1. assign V414931 = V650036 + 1. assign V459464 = V098770 - 1. assign V134212 = V714857. assign V445367 = V532370 - 1. assign V701704 = V001465 - 1. assign V256778 = V164380 + 1. assign V401004 = V096438 - 1. assign V296902 = V875598 + 1. assign V642068 = V699137 + 1. assign V164380 = V699137. assign V228774 = V725903 - 1. assign V439454 = V285007. assign V601630 = V134212 + 1. assign V790590 = V045791 + 1. assign V926791 = V706283 + 1. assign V875598 = V096438. assign V283195 = V701260 - 1. assign V599261 = V001465 + 1. assign V579561 = V318204 + 1. assign V937998 = V431021 + 1. assign V871958 = V247950 + 1. assign V907201 = V410180. assign V434160 = V725903. assign V623133 = V714857 - 1. assign V091472 = V920265 - 1. assign V900013 = V650036. assign V285007 = V596910 + 1. assign V318204 = V879992 - 1. assign V433394 = V401004. assign V598118 = V180875 - 1. assign V410180 = V725903 - 1. assign V116570 = V598118 + 1. assign V484797 = V119335 - 1. assign V701260 = V650036. assign V303023 = V434160 + 1. assign V920265 = V294403. assign V949492 = V650036 + 1. assign V247950 = 6. assign V596910 = V532370 + 1. assign V900683 = V228774 - 1. assign V246216 = V532370 + 1. assign V119335 = V642068 + 1. assign V699137 = V096438 + 1. assign V431021 = V096438 + 1. assign V563690 = V228774. assign V045791 = V836416 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V439602 = V701260 - 1. assign V007730 = V434160 - 1. assign V339384 = V401004 + 1. assign V375872 = V431021 + 1. assign V289080 = V793096. assign V462374 = V810912 + 1. assign V706283 = V431021. assign V532370 = V623133 - 1. assign V833507 = V339384. assign V180875 = V642068. assign V000531 = V725903. assign V874879 = V434160 + 1. assign V432603 = V879992 + 1. assign V864299 = V699137. assign V650036 = V431021. assign V424092 = V228774. assign V923333 = V001465. assign V689172 = V836416. assign V794708 = V285007 + 1. assign V743771 = V431021. assign V793096 = V623133. assign V715595 = V296902 + 1. assign V879992 = V401004 + 1. assign V810912 = V650036. assign V513059 = V790590. assign V725903 = V401004 + 1. assign V563073 = V596910. assign V412614 = V410180 - 1. assign V836416 = V699137. assign V964554 = V875598 - 1. assign V637826 = V923333. assign V001465 = V164380. assign V200558 = V001465 - 1. assign V714857 = V434160 + 1. assign V098770 = V462374. assign V607433 = V484797 + 1. assign V294403 = V401004 - 1. assign V806567 = V596910 - 1. assign V960209 = V439454 - 1. assign V227134 = V431021 + 1. assign V414931 = V650036 + 1. assign V459464 = V098770 - 1. assign V134212 = V714857. assign V445367 = V532370 - 1. assign V701704 = V001465 - 1. assign V256778 = V164380 + 1. assign V401004 = V096438 - 1. assign V296902 = V875598 + 1. assign V642068 = V699137 + 1. assign V164380 = V699137. assign V228774 = V725903 - 1. assign V439454 = V285007. assign V601630 = V134212 + 1. assign V790590 = V045791 + 1. assign V926791 = V706283 + 1. assign V875598 = V096438. assign V283195 = V701260 - 1. assign V599261 = V001465 + 1. assign V579561 = V318204 + 1. assign V937998 = V431021 + 1. assign V871958 = V247950 + 1. assign V907201 = V410180. assign V434160 = V725903. assign V623133 = V714857 - 1. assign V091472 = V920265 - 1. assign V900013 = V650036. assign V285007 = V596910 + 1. assign V318204 = V879992 - 1. assign V433394 = V401004. assign V598118 = V180875 - 1. assign V410180 = V725903 - 1. assign V116570 = V598118 + 1. assign V484797 = V119335 - 1. assign V701260 = V650036. assign V303023 = V434160 + 1. assign V920265 = V294403. assign V949492 = V650036 + 1. assign V247950 = 6. assign V596910 = V532370 + 1. assign V900683 = V228774 - 1. assign V246216 = V532370 + 1. assign V119335 = V642068 + 1. assign V699137 = V096438 + 1. assign V431021 = V096438 + 1. assign V563690 = V228774. assign V045791 = V836416 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV247950 = 6;\n\nFrom these direct assignment(s), we have: \nV871958 = V247950 + 1 = 6 + 1 =7;\nNo other variables can be derived from V871958;\nNo other variables can be derived from V247950;\n\nNow we have done all the calculations. Derived variables are:\nV247950 = 6;\nV871958 = 7;\n\nNow we have finished this problem. ANSWER:\nV871958\n", "role": "assistant" } ]

[ "V077792", "V375100" ]

[ { "content": "<context>\nassign V575660 = V973827 - 1. assign V839681 = V228986. assign V938124 = V463905. assign V791753 = V588564. assign V591475 = V973827. assign V841034 = V579195 - 1. assign V579195 = V294393 - 1. assign V767184 = V294393 + 1. assign V513476 = V640688 + 1. assign V533774 = V938428 - 1. assign V191507 = V294393 - 1. assign V619404 = V314942 - 1. assign V867048 = V791753 + 1. assign V927860 = V455829. assign V759309 = V463905. assign V103391 = V218514 + 1. assign V280843 = V688412. assign V421095 = V471928. assign V471928 = V280843. assign V218514 = V471928 - 1. assign V456789 = V600897 + 1. assign V962932 = V332600 + 1. assign V859147 = V228986 - 1. assign V717361 = V471928. assign V871826 = V294393 + 1. assign V499636 = V317053. assign V839439 = V463905 - 1. assign V317053 = V962932 + 1. assign V906531 = V871826 + 1. assign V154891 = V254102 - 1. assign V880202 = V591475. assign V083084 = V600897 + 1. assign V144728 = V072671. assign V375100 = V077792. assign V244813 = V455829 - 1. assign V455829 = V280843 + 1. assign V476640 = V244813 - 1. assign V600897 = V842145 - 1. assign V985807 = V438601. assign V664146 = V280843 + 1. assign V784887 = V455829 + 1. assign V824892 = V938428 - 1. assign V388282 = V962932. assign V129017 = V314942 - 1. assign V573552 = V129017 + 1. assign V938428 = V421095. assign V640688 = V471928. assign V379898 = V653881 + 1. assign V254102 = V218514 + 1. assign V438601 = V421095 - 1. assign V844805 = V939595 + 1. assign V711022 = V791753 - 1. assign V077792 = 10. assign V375469 = V991742 - 1. assign V282174 = V880202. assign V519188 = V591475. assign V332600 = V280843 - 1. assign V973827 = V579195 + 1. assign V569044 = V513476 + 1. assign V513202 = V127234 + 1. assign V991742 = V244813 + 1. assign V948528 = V640688 + 1. assign V842145 = V759309 + 1. assign V521126 = V717361 - 1. assign V072671 = V973827. assign V765246 = V844805 + 1. assign V939595 = V579195. assign V463905 = V688412 - 1. assign V588564 = V218514. assign V728681 = V519188. assign V730728 = V228986 + 1. assign V267189 = V973827. assign V127234 = V463905 - 1. assign V070792 = V688412 + 1. assign V314942 = V455829. assign V321658 = V664146 - 1. assign V425450 = V332600. assign V216879 = V759309 - 1. assign V322972 = V688412. assign V648229 = V280843 - 1. assign V541260 = V717361. assign V413853 = V938124 + 1. assign V228986 = V280843. assign V704651 = V438601. assign V688412 = V294393. assign V653881 = V280843 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V575660 = V973827 - 1. assign V839681 = V228986. assign V938124 = V463905. assign V791753 = V588564. assign V591475 = V973827. assign V841034 = V579195 - 1. assign V579195 = V294393 - 1. assign V767184 = V294393 + 1. assign V513476 = V640688 + 1. assign V533774 = V938428 - 1. assign V191507 = V294393 - 1. assign V619404 = V314942 - 1. assign V867048 = V791753 + 1. assign V927860 = V455829. assign V759309 = V463905. assign V103391 = V218514 + 1. assign V280843 = V688412. assign V421095 = V471928. assign V471928 = V280843. assign V218514 = V471928 - 1. assign V456789 = V600897 + 1. assign V962932 = V332600 + 1. assign V859147 = V228986 - 1. assign V717361 = V471928. assign V871826 = V294393 + 1. assign V499636 = V317053. assign V839439 = V463905 - 1. assign V317053 = V962932 + 1. assign V906531 = V871826 + 1. assign V154891 = V254102 - 1. assign V880202 = V591475. assign V083084 = V600897 + 1. assign V144728 = V072671. assign V375100 = V077792. assign V244813 = V455829 - 1. assign V455829 = V280843 + 1. assign V476640 = V244813 - 1. assign V600897 = V842145 - 1. assign V985807 = V438601. assign V664146 = V280843 + 1. assign V784887 = V455829 + 1. assign V824892 = V938428 - 1. assign V388282 = V962932. assign V129017 = V314942 - 1. assign V573552 = V129017 + 1. assign V938428 = V421095. assign V640688 = V471928. assign V379898 = V653881 + 1. assign V254102 = V218514 + 1. assign V438601 = V421095 - 1. assign V844805 = V939595 + 1. assign V711022 = V791753 - 1. assign V077792 = 10. assign V375469 = V991742 - 1. assign V282174 = V880202. assign V519188 = V591475. assign V332600 = V280843 - 1. assign V973827 = V579195 + 1. assign V569044 = V513476 + 1. assign V513202 = V127234 + 1. assign V991742 = V244813 + 1. assign V948528 = V640688 + 1. assign V842145 = V759309 + 1. assign V521126 = V717361 - 1. assign V072671 = V973827. assign V765246 = V844805 + 1. assign V939595 = V579195. assign V463905 = V688412 - 1. assign V588564 = V218514. assign V728681 = V519188. assign V730728 = V228986 + 1. assign V267189 = V973827. assign V127234 = V463905 - 1. assign V070792 = V688412 + 1. assign V314942 = V455829. assign V321658 = V664146 - 1. assign V425450 = V332600. assign V216879 = V759309 - 1. assign V322972 = V688412. assign V648229 = V280843 - 1. assign V541260 = V717361. assign V413853 = V938124 + 1. assign V228986 = V280843. assign V704651 = V438601. assign V688412 = V294393. assign V653881 = V280843 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV077792 = 10;\n\nFrom these direct assignment(s), we have: \nV375100 = V077792 = 10;\nNo other variables can be derived from V375100;\nNo other variables can be derived from V077792;\n\nNow we have done all the calculations. Derived variables are:\nV077792 = 10;\nV375100 = 10;\n\nNow we have finished this problem. ANSWER:\nV077792, V375100\n", "role": "assistant" } ]

[ "V068436" ]

[ { "content": "<context>\nassign V151070 = V798583. assign V763329 = V539992. assign V798583 = V591242. assign V365756 = V279078. assign V352860 = V588450 - 1. assign V540229 = V365756. assign V640462 = V798583 - 1. assign V325269 = V064015 + 1. assign V248190 = V725665 + 1. assign V174828 = V981066 + 1. assign V090992 = V834008. assign V118259 = V539992 + 1. assign V725665 = V412054 - 1. assign V016954 = V811792 + 1. assign V634443 = V571003 - 1. assign V306558 = V325269. assign V701137 = V759795 + 1. assign V684071 = V963218. assign V072592 = V345552. assign V856381 = V839918. assign V827066 = 3. assign V518011 = V368727 - 1. assign V728178 = V092596 + 1. assign V370400 = V725665 - 1. assign V714404 = V947409 - 1. assign V036169 = V640462. assign V279078 = V248190 + 1. assign V795037 = V591242 - 1. assign V740693 = V591242 - 1. assign V511774 = V684071. assign V373735 = V806730 - 1. assign V771439 = V495509. assign V653908 = V370400. assign V112961 = V591242 + 1. assign V092596 = V937711 + 1. assign V407098 = V740693 + 1. assign V009382 = V306558 + 1. assign V444420 = V373735 - 1. assign V259942 = V588450. assign V368727 = V064015. assign V072981 = V740693 - 1. assign V811792 = V798583 + 1. assign V495509 = V354824 - 1. assign V834008 = V937711. assign V136985 = V151070 + 1. assign V571003 = V539992. assign V482882 = V336654 + 1. assign V846785 = V740693. assign V085930 = V539992. assign V255168 = V937711. assign V594419 = V968630. assign V789698 = V834008 - 1. assign V583494 = V092596. assign V064015 = V571003 - 1. assign V629309 = V759795 - 1. assign V161194 = V072592. assign V556844 = V325269 + 1. assign V084802 = V653908 + 1. assign V839918 = V085930 - 1. assign V968630 = V937711 - 1. assign V232322 = V981066 - 1. assign V759795 = V336654 - 1. assign V588450 = V968630 + 1. assign V838326 = V963218 + 1. assign V599611 = V336654. assign V345552 = V112961 + 1. assign V731821 = V838326 + 1. assign V963218 = V556844 + 1. assign V981066 = V571003 + 1. assign V591242 = V937711. assign V068436 = V827066 - 1. assign V196437 = V963218. assign V769777 = V306558 + 1. assign V756339 = V255168 + 1. assign V412054 = V112961 - 1. assign V764847 = V856381. assign V354824 = V937711 + 1. assign V252739 = V981066 + 1. assign V774383 = V255168. assign V806730 = V336654. assign V051846 = V196437 + 1. assign V947409 = V064015. assign V515174 = V368727. assign V288080 = V352860 - 1. assign V539992 = V834008 + 1. assign V336654 = V968630 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V151070 = V798583. assign V763329 = V539992. assign V798583 = V591242. assign V365756 = V279078. assign V352860 = V588450 - 1. assign V540229 = V365756. assign V640462 = V798583 - 1. assign V325269 = V064015 + 1. assign V248190 = V725665 + 1. assign V174828 = V981066 + 1. assign V090992 = V834008. assign V118259 = V539992 + 1. assign V725665 = V412054 - 1. assign V016954 = V811792 + 1. assign V634443 = V571003 - 1. assign V306558 = V325269. assign V701137 = V759795 + 1. assign V684071 = V963218. assign V072592 = V345552. assign V856381 = V839918. assign V827066 = 3. assign V518011 = V368727 - 1. assign V728178 = V092596 + 1. assign V370400 = V725665 - 1. assign V714404 = V947409 - 1. assign V036169 = V640462. assign V279078 = V248190 + 1. assign V795037 = V591242 - 1. assign V740693 = V591242 - 1. assign V511774 = V684071. assign V373735 = V806730 - 1. assign V771439 = V495509. assign V653908 = V370400. assign V112961 = V591242 + 1. assign V092596 = V937711 + 1. assign V407098 = V740693 + 1. assign V009382 = V306558 + 1. assign V444420 = V373735 - 1. assign V259942 = V588450. assign V368727 = V064015. assign V072981 = V740693 - 1. assign V811792 = V798583 + 1. assign V495509 = V354824 - 1. assign V834008 = V937711. assign V136985 = V151070 + 1. assign V571003 = V539992. assign V482882 = V336654 + 1. assign V846785 = V740693. assign V085930 = V539992. assign V255168 = V937711. assign V594419 = V968630. assign V789698 = V834008 - 1. assign V583494 = V092596. assign V064015 = V571003 - 1. assign V629309 = V759795 - 1. assign V161194 = V072592. assign V556844 = V325269 + 1. assign V084802 = V653908 + 1. assign V839918 = V085930 - 1. assign V968630 = V937711 - 1. assign V232322 = V981066 - 1. assign V759795 = V336654 - 1. assign V588450 = V968630 + 1. assign V838326 = V963218 + 1. assign V599611 = V336654. assign V345552 = V112961 + 1. assign V731821 = V838326 + 1. assign V963218 = V556844 + 1. assign V981066 = V571003 + 1. assign V591242 = V937711. assign V068436 = V827066 - 1. assign V196437 = V963218. assign V769777 = V306558 + 1. assign V756339 = V255168 + 1. assign V412054 = V112961 - 1. assign V764847 = V856381. assign V354824 = V937711 + 1. assign V252739 = V981066 + 1. assign V774383 = V255168. assign V806730 = V336654. assign V051846 = V196437 + 1. assign V947409 = V064015. assign V515174 = V368727. assign V288080 = V352860 - 1. assign V539992 = V834008 + 1. assign V336654 = V968630 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV827066 = 3;\n\nFrom these direct assignment(s), we have: \nV068436 = V827066 - 1 = 3 - 1 =2;\nNo other variables can be derived from V068436;\nNo other variables can be derived from V827066;\n\nNow we have done all the calculations. Derived variables are:\nV827066 = 3;\nV068436 = 2;\n\nNow we have finished this problem. ANSWER:\nV068436\n", "role": "assistant" } ]

[ "V739473" ]

[ { "content": "<context>\nassign V940226 = V630276. assign V417833 = V940226 + 1. assign V609634 = V443684. assign V967734 = V940226 - 1. assign V373637 = V468596 - 1. assign V259480 = V070064 - 1. assign V829753 = V077670. assign V572121 = V077670 - 1. assign V164221 = V640447. assign V415458 = V940226 + 1. assign V555119 = V010314 + 1. assign V468596 = V089720 - 1. assign V362472 = V956186. assign V766691 = V171452 - 1. assign V482426 = V901652 - 1. assign V573783 = V572121 - 1. assign V640447 = V077670. assign V280070 = V077670. assign V139202 = V012152 + 1. assign V630276 = V097436 + 1. assign V683192 = V929750. assign V386886 = V077670 - 1. assign V103259 = V766691. assign V731029 = V940226. assign V164758 = V468596. assign V190809 = V630276 + 1. assign V739473 = V488624 + 1. assign V929750 = V088692. assign V010314 = V129455 + 1. assign V488624 = 1. assign V549810 = V089720. assign V574152 = V103259. assign V541820 = V070064 + 1. assign V256183 = V098716. assign V045116 = V519236 + 1. assign V827541 = V139202 - 1. assign V990954 = V572121 - 1. assign V744448 = V898247. assign V864236 = V097436 + 1. assign V508793 = V509653. assign V365628 = V012152 + 1. assign V239740 = V359765. assign V887906 = V592816 + 1. assign V738946 = V468596. assign V778784 = V887906. assign V187262 = V509653 - 1. assign V102023 = V829753 + 1. assign V570782 = V956186. assign V129455 = V359765 - 1. assign V519236 = V089720. assign V366913 = V129455. assign V301183 = V940226 - 1. assign V903671 = V373637 + 1. assign V098716 = V089720 - 1. assign V667679 = V012152. assign V726613 = V864236 + 1. assign V012152 = V443684 + 1. assign V627119 = V362472 + 1. assign V097436 = V012152. assign V850763 = V967734 + 1. assign V443684 = V077670 - 1. assign V064335 = V738946 - 1. assign V956186 = V940226. assign V901652 = V012152 - 1. assign V898247 = V359765. assign V171452 = V901652. assign V445967 = V417833. assign V539250 = V374775. assign V509653 = V077670 - 1. assign V089720 = V012152. assign V364088 = V139202. assign V592816 = V070064 - 1. assign V335960 = V077670. assign V140014 = V468596 - 1. assign V885028 = V509653 - 1. assign V801580 = V572121 + 1. assign V070064 = V630276 - 1. assign V374775 = V088692 - 1. assign V088692 = V077670. assign V776804 = V140014. assign V819428 = V139202. assign V612255 = V077670. assign V995916 = V898247 + 1. assign V698358 = V139202 + 1. assign V359765 = V640447 - 1. assign V068584 = V359765.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V940226 = V630276. assign V417833 = V940226 + 1. assign V609634 = V443684. assign V967734 = V940226 - 1. assign V373637 = V468596 - 1. assign V259480 = V070064 - 1. assign V829753 = V077670. assign V572121 = V077670 - 1. assign V164221 = V640447. assign V415458 = V940226 + 1. assign V555119 = V010314 + 1. assign V468596 = V089720 - 1. assign V362472 = V956186. assign V766691 = V171452 - 1. assign V482426 = V901652 - 1. assign V573783 = V572121 - 1. assign V640447 = V077670. assign V280070 = V077670. assign V139202 = V012152 + 1. assign V630276 = V097436 + 1. assign V683192 = V929750. assign V386886 = V077670 - 1. assign V103259 = V766691. assign V731029 = V940226. assign V164758 = V468596. assign V190809 = V630276 + 1. assign V739473 = V488624 + 1. assign V929750 = V088692. assign V010314 = V129455 + 1. assign V488624 = 1. assign V549810 = V089720. assign V574152 = V103259. assign V541820 = V070064 + 1. assign V256183 = V098716. assign V045116 = V519236 + 1. assign V827541 = V139202 - 1. assign V990954 = V572121 - 1. assign V744448 = V898247. assign V864236 = V097436 + 1. assign V508793 = V509653. assign V365628 = V012152 + 1. assign V239740 = V359765. assign V887906 = V592816 + 1. assign V738946 = V468596. assign V778784 = V887906. assign V187262 = V509653 - 1. assign V102023 = V829753 + 1. assign V570782 = V956186. assign V129455 = V359765 - 1. assign V519236 = V089720. assign V366913 = V129455. assign V301183 = V940226 - 1. assign V903671 = V373637 + 1. assign V098716 = V089720 - 1. assign V667679 = V012152. assign V726613 = V864236 + 1. assign V012152 = V443684 + 1. assign V627119 = V362472 + 1. assign V097436 = V012152. assign V850763 = V967734 + 1. assign V443684 = V077670 - 1. assign V064335 = V738946 - 1. assign V956186 = V940226. assign V901652 = V012152 - 1. assign V898247 = V359765. assign V171452 = V901652. assign V445967 = V417833. assign V539250 = V374775. assign V509653 = V077670 - 1. assign V089720 = V012152. assign V364088 = V139202. assign V592816 = V070064 - 1. assign V335960 = V077670. assign V140014 = V468596 - 1. assign V885028 = V509653 - 1. assign V801580 = V572121 + 1. assign V070064 = V630276 - 1. assign V374775 = V088692 - 1. assign V088692 = V077670. assign V776804 = V140014. assign V819428 = V139202. assign V612255 = V077670. assign V995916 = V898247 + 1. assign V698358 = V139202 + 1. assign V359765 = V640447 - 1. assign V068584 = V359765.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV488624 = 1;\n\nFrom these direct assignment(s), we have: \nV739473 = V488624 + 1 = 1 + 1 =2;\nNo other variables can be derived from V739473;\nNo other variables can be derived from V488624;\n\nNow we have done all the calculations. Derived variables are:\nV488624 = 1;\nV739473 = 2;\n\nNow we have finished this problem. ANSWER:\nV739473\n", "role": "assistant" } ]

[ "V604975" ]

[ { "content": "<context>\nassign V747400 = V075577. assign V581923 = V480163. assign V913990 = V145503 - 1. assign V338424 = V005481 - 1. assign V967380 = V353234 + 1. assign V524714 = V353439. assign V075914 = V967380 - 1. assign V964472 = V741903. assign V455769 = V726352. assign V631981 = V005481. assign V066601 = V858073 - 1. assign V945012 = V338424. assign V724610 = V123918 - 1. assign V726352 = V992202 - 1. assign V838019 = V858073. assign V991353 = V270317 + 1. assign V971607 = V724610. assign V973322 = V534089 + 1. assign V858073 = V353234 + 1. assign V383361 = V838019. assign V758221 = V922883. assign V563702 = V581923. assign V362183 = V518570 - 1. assign V053514 = V966194 - 1. assign V960884 = V186511. assign V808638 = V216963. assign V741903 = V522241 + 1. assign V653974 = V466970 - 1. assign V373258 = V959108. assign V227969 = V858073. assign V427771 = V967380 + 1. assign V940883 = V729658. assign V522241 = V858073 + 1. assign V492201 = V145149 + 1. assign V729658 = V005481 + 1. assign V201984 = V192889 - 1. assign V466970 = V741903. assign V806252 = V216963. assign V145503 = V967380 - 1. assign V680842 = 2. assign V587275 = V966194 - 1. assign V803624 = V522241. assign V062260 = V344187 + 1. assign V922883 = V353234 - 1. assign V192889 = V356707 - 1. assign V992202 = V075577 - 1. assign V840500 = V353234 - 1. assign V537526 = V036110 - 1. assign V344187 = V967380 + 1. assign V353439 = V492201 - 1. assign V362485 = V959108. assign V980441 = V123918. assign V508288 = V747400. assign V198278 = V522241 + 1. assign V929978 = V005481 + 1. assign V885491 = V005481 + 1. assign V095362 = V492201. assign V518570 = V967380 + 1. assign V213105 = V563702 + 1. assign V392757 = V344187 + 1. assign V216963 = V913990 + 1. assign V604975 = V680842 - 1. assign V005481 = V353234 + 1. assign V723498 = V929978 + 1. assign V448085 = V338424 + 1. assign V519655 = V338424 - 1. assign V010328 = V723498 - 1. assign V186511 = V537593 + 1. assign V036110 = V522241 + 1. assign V959108 = V338424 + 1. assign V534089 = V145149 + 1. assign V966194 = V964472 + 1. assign V123918 = V966194. assign V075577 = V522241. assign V157713 = V964472 - 1. assign V480163 = V066601. assign V611922 = V885491 - 1. assign V356707 = V522241 - 1. assign V827497 = V344187 + 1. assign V270317 = V741903 + 1. assign V058491 = V356707. assign V537593 = V518570. assign V142547 = V492201 + 1. assign V674332 = V338424 - 1. assign V960279 = V157713 + 1. assign V145149 = V858073.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V747400 = V075577. assign V581923 = V480163. assign V913990 = V145503 - 1. assign V338424 = V005481 - 1. assign V967380 = V353234 + 1. assign V524714 = V353439. assign V075914 = V967380 - 1. assign V964472 = V741903. assign V455769 = V726352. assign V631981 = V005481. assign V066601 = V858073 - 1. assign V945012 = V338424. assign V724610 = V123918 - 1. assign V726352 = V992202 - 1. assign V838019 = V858073. assign V991353 = V270317 + 1. assign V971607 = V724610. assign V973322 = V534089 + 1. assign V858073 = V353234 + 1. assign V383361 = V838019. assign V758221 = V922883. assign V563702 = V581923. assign V362183 = V518570 - 1. assign V053514 = V966194 - 1. assign V960884 = V186511. assign V808638 = V216963. assign V741903 = V522241 + 1. assign V653974 = V466970 - 1. assign V373258 = V959108. assign V227969 = V858073. assign V427771 = V967380 + 1. assign V940883 = V729658. assign V522241 = V858073 + 1. assign V492201 = V145149 + 1. assign V729658 = V005481 + 1. assign V201984 = V192889 - 1. assign V466970 = V741903. assign V806252 = V216963. assign V145503 = V967380 - 1. assign V680842 = 2. assign V587275 = V966194 - 1. assign V803624 = V522241. assign V062260 = V344187 + 1. assign V922883 = V353234 - 1. assign V192889 = V356707 - 1. assign V992202 = V075577 - 1. assign V840500 = V353234 - 1. assign V537526 = V036110 - 1. assign V344187 = V967380 + 1. assign V353439 = V492201 - 1. assign V362485 = V959108. assign V980441 = V123918. assign V508288 = V747400. assign V198278 = V522241 + 1. assign V929978 = V005481 + 1. assign V885491 = V005481 + 1. assign V095362 = V492201. assign V518570 = V967380 + 1. assign V213105 = V563702 + 1. assign V392757 = V344187 + 1. assign V216963 = V913990 + 1. assign V604975 = V680842 - 1. assign V005481 = V353234 + 1. assign V723498 = V929978 + 1. assign V448085 = V338424 + 1. assign V519655 = V338424 - 1. assign V010328 = V723498 - 1. assign V186511 = V537593 + 1. assign V036110 = V522241 + 1. assign V959108 = V338424 + 1. assign V534089 = V145149 + 1. assign V966194 = V964472 + 1. assign V123918 = V966194. assign V075577 = V522241. assign V157713 = V964472 - 1. assign V480163 = V066601. assign V611922 = V885491 - 1. assign V356707 = V522241 - 1. assign V827497 = V344187 + 1. assign V270317 = V741903 + 1. assign V058491 = V356707. assign V537593 = V518570. assign V142547 = V492201 + 1. assign V674332 = V338424 - 1. assign V960279 = V157713 + 1. assign V145149 = V858073.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV680842 = 2;\n\nFrom these direct assignment(s), we have: \nV604975 = V680842 - 1 = 2 - 1 =1;\nNo other variables can be derived from V604975;\nNo other variables can be derived from V680842;\n\nNow we have done all the calculations. Derived variables are:\nV680842 = 2;\nV604975 = 1;\n\nNow we have finished this problem. ANSWER:\nV604975\n", "role": "assistant" } ]

[ "V360327" ]

[ { "content": "<context>\nassign V869948 = V253782 + 1. assign V164829 = V978072 - 1. assign V187947 = V533004. assign V169404 = V323191 - 1. assign V849095 = V966098. assign V143606 = V010863 - 1. assign V835528 = V011109. assign V625840 = V406351 + 1. assign V348680 = V678344. assign V678344 = V468789 - 1. assign V354293 = V678344 - 1. assign V038006 = V011109. assign V438413 = V849095 - 1. assign V136476 = V272641 - 1. assign V221973 = V000324. assign V968301 = V793497 - 1. assign V555386 = V678344 + 1. assign V973668 = V348680 + 1. assign V983037 = V011109 + 1. assign V011109 = V533004. assign V000324 = V601318. assign V906541 = V533004 - 1. assign V601318 = V862226. assign V272641 = V191104 - 1. assign V395207 = V650318. assign V581561 = V533004 - 1. assign V533004 = V010863 + 1. assign V650318 = V553586 - 1. assign V137286 = V966098 + 1. assign V202583 = V642485 - 1. assign V625916 = V581561 - 1. assign V978072 = V253782. assign V821347 = V849095 - 1. assign V223041 = V644041. assign V793497 = V802568. assign V966098 = V468789 + 1. assign V553586 = V802568 - 1. assign V022297 = V433559. assign V579820 = V926130 - 1. assign V035401 = V354293. assign V128434 = V169404. assign V897728 = V906541 + 1. assign V299418 = V684810 - 1. assign V446021 = V601318 + 1. assign V406351 = V849095. assign V269301 = V187947 - 1. assign V370930 = V533004 - 1. assign V644041 = V438413 + 1. assign V327426 = V978072. assign V587240 = V581561 + 1. assign V323191 = V370930 - 1. assign V431552 = V468789. assign V862226 = V143606 + 1. assign V926130 = V906541. assign V851479 = V553586. assign V003284 = V533004. assign V350203 = V849095 + 1. assign V703929 = V468789. assign V411291 = V581561. assign V684810 = V821347 - 1. assign V653164 = V587240 + 1. assign V281902 = V580160 - 1. assign V460732 = V253782 - 1. assign V642485 = V625916 + 1. assign V234923 = V253782 - 1. assign V304102 = V370930 - 1. assign V802568 = V468789 - 1. assign V786130 = V406351 + 1. assign V253782 = V533004 - 1. assign V580160 = V010863 - 1. assign V942493 = V281902. assign V468789 = V533004 + 1. assign V130260 = V821347. assign V053442 = V906541 + 1. assign V633419 = V253782. assign V814745 = V580160 + 1. assign V110063 = V438413 + 1. assign V769196 = V360327 + 1. assign V828036 = V906541 + 1. assign V558938 = V978072. assign V360327 = 5. assign V433559 = V253782 + 1. assign V191104 = V553586 - 1. assign V416873 = V814745 - 1. assign V187212 = V580160 - 1. assign V812914 = V644041 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V869948 = V253782 + 1. assign V164829 = V978072 - 1. assign V187947 = V533004. assign V169404 = V323191 - 1. assign V849095 = V966098. assign V143606 = V010863 - 1. assign V835528 = V011109. assign V625840 = V406351 + 1. assign V348680 = V678344. assign V678344 = V468789 - 1. assign V354293 = V678344 - 1. assign V038006 = V011109. assign V438413 = V849095 - 1. assign V136476 = V272641 - 1. assign V221973 = V000324. assign V968301 = V793497 - 1. assign V555386 = V678344 + 1. assign V973668 = V348680 + 1. assign V983037 = V011109 + 1. assign V011109 = V533004. assign V000324 = V601318. assign V906541 = V533004 - 1. assign V601318 = V862226. assign V272641 = V191104 - 1. assign V395207 = V650318. assign V581561 = V533004 - 1. assign V533004 = V010863 + 1. assign V650318 = V553586 - 1. assign V137286 = V966098 + 1. assign V202583 = V642485 - 1. assign V625916 = V581561 - 1. assign V978072 = V253782. assign V821347 = V849095 - 1. assign V223041 = V644041. assign V793497 = V802568. assign V966098 = V468789 + 1. assign V553586 = V802568 - 1. assign V022297 = V433559. assign V579820 = V926130 - 1. assign V035401 = V354293. assign V128434 = V169404. assign V897728 = V906541 + 1. assign V299418 = V684810 - 1. assign V446021 = V601318 + 1. assign V406351 = V849095. assign V269301 = V187947 - 1. assign V370930 = V533004 - 1. assign V644041 = V438413 + 1. assign V327426 = V978072. assign V587240 = V581561 + 1. assign V323191 = V370930 - 1. assign V431552 = V468789. assign V862226 = V143606 + 1. assign V926130 = V906541. assign V851479 = V553586. assign V003284 = V533004. assign V350203 = V849095 + 1. assign V703929 = V468789. assign V411291 = V581561. assign V684810 = V821347 - 1. assign V653164 = V587240 + 1. assign V281902 = V580160 - 1. assign V460732 = V253782 - 1. assign V642485 = V625916 + 1. assign V234923 = V253782 - 1. assign V304102 = V370930 - 1. assign V802568 = V468789 - 1. assign V786130 = V406351 + 1. assign V253782 = V533004 - 1. assign V580160 = V010863 - 1. assign V942493 = V281902. assign V468789 = V533004 + 1. assign V130260 = V821347. assign V053442 = V906541 + 1. assign V633419 = V253782. assign V814745 = V580160 + 1. assign V110063 = V438413 + 1. assign V769196 = V360327 + 1. assign V828036 = V906541 + 1. assign V558938 = V978072. assign V360327 = 5. assign V433559 = V253782 + 1. assign V191104 = V553586 - 1. assign V416873 = V814745 - 1. assign V187212 = V580160 - 1. assign V812914 = V644041 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV360327 = 5;\n\nFrom these direct assignment(s), we have: \nV769196 = V360327 + 1 = 5 + 1 =6;\nNo other variables can be derived from V769196;\nNo other variables can be derived from V360327;\n\nNow we have done all the calculations. Derived variables are:\nV360327 = 5;\nV769196 = 6;\n\nNow we have finished this problem. ANSWER:\nV360327\n", "role": "assistant" } ]

[ "V815973", "V595482" ]

[ { "content": "<context>\nassign V268156 = V114977. assign V613665 = V311595 - 1. assign V406491 = V858846 + 1. assign V496299 = V748033 - 1. assign V543745 = V890973 - 1. assign V657590 = V160461 - 1. assign V967662 = V740085. assign V446561 = V289735 + 1. assign V893210 = V028908 + 1. assign V454502 = V114977. assign V595482 = V815973. assign V051469 = V278483 + 1. assign V858908 = V311595. assign V819648 = V473290 - 1. assign V487886 = V719830 + 1. assign V157569 = V162406 - 1. assign V028908 = V238666 + 1. assign V216169 = V165893. assign V680538 = V322422 + 1. assign V006905 = V858846 + 1. assign V816057 = V160461. assign V314095 = V985815 + 1. assign V911529 = V858846. assign V751922 = V943090 - 1. assign V425331 = V291443 + 1. assign V545793 = V160461 - 1. assign V408575 = V407934 + 1. assign V309140 = V885071 - 1. assign V673864 = V114977. assign V654733 = V748033 - 1. assign V985815 = V165893 + 1. assign V445164 = V096275 - 1. assign V552548 = V028908. assign V143658 = V984212 - 1. assign V748033 = V821029 - 1. assign V078330 = V268156 - 1. assign V614547 = V613665 - 1. assign V821029 = V473290. assign V189134 = V162406. assign V890973 = V160461 - 1. assign V827602 = V445931 + 1. assign V165893 = V160461 - 1. assign V660277 = V885071. assign V096275 = V473290 - 1. assign V943090 = V545793 - 1. assign V609967 = V985815 + 1. assign V619790 = V408430 + 1. assign V114977 = V006905 + 1. assign V407934 = V445931 + 1. assign V719830 = V216169. assign V768641 = V291443. assign V473290 = V858846. assign V797328 = V189134. assign V839778 = V160461 - 1. assign V322422 = V291443 + 1. assign V740085 = V160461 + 1. assign V567754 = V446561 - 1. assign V651251 = V028908 - 1. assign V445931 = V165893 + 1. assign V984212 = V227541. assign V253466 = V096275 + 1. assign V678065 = V903683 - 1. assign V806211 = V289735 - 1. assign V160461 = V858846. assign V567796 = V748033 - 1. assign V722548 = V445931. assign V212203 = V985815 + 1. assign V705385 = V184427. assign V233854 = V673864 + 1. assign V278483 = V160461. assign V227541 = V114977 - 1. assign V311595 = V858846 - 1. assign V815973 = 3. assign V289735 = V821029 + 1. assign V561403 = V165893. assign V184427 = V006905 + 1. assign V291443 = V858846 - 1. assign V238666 = V227541. assign V408430 = V911529 - 1. assign V453461 = V561403 - 1. assign V829766 = V890973. assign V167677 = V748033. assign V850341 = V406491. assign V885071 = V903683 - 1. assign V162406 = V268156 - 1. assign V903683 = V268156.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V268156 = V114977. assign V613665 = V311595 - 1. assign V406491 = V858846 + 1. assign V496299 = V748033 - 1. assign V543745 = V890973 - 1. assign V657590 = V160461 - 1. assign V967662 = V740085. assign V446561 = V289735 + 1. assign V893210 = V028908 + 1. assign V454502 = V114977. assign V595482 = V815973. assign V051469 = V278483 + 1. assign V858908 = V311595. assign V819648 = V473290 - 1. assign V487886 = V719830 + 1. assign V157569 = V162406 - 1. assign V028908 = V238666 + 1. assign V216169 = V165893. assign V680538 = V322422 + 1. assign V006905 = V858846 + 1. assign V816057 = V160461. assign V314095 = V985815 + 1. assign V911529 = V858846. assign V751922 = V943090 - 1. assign V425331 = V291443 + 1. assign V545793 = V160461 - 1. assign V408575 = V407934 + 1. assign V309140 = V885071 - 1. assign V673864 = V114977. assign V654733 = V748033 - 1. assign V985815 = V165893 + 1. assign V445164 = V096275 - 1. assign V552548 = V028908. assign V143658 = V984212 - 1. assign V748033 = V821029 - 1. assign V078330 = V268156 - 1. assign V614547 = V613665 - 1. assign V821029 = V473290. assign V189134 = V162406. assign V890973 = V160461 - 1. assign V827602 = V445931 + 1. assign V165893 = V160461 - 1. assign V660277 = V885071. assign V096275 = V473290 - 1. assign V943090 = V545793 - 1. assign V609967 = V985815 + 1. assign V619790 = V408430 + 1. assign V114977 = V006905 + 1. assign V407934 = V445931 + 1. assign V719830 = V216169. assign V768641 = V291443. assign V473290 = V858846. assign V797328 = V189134. assign V839778 = V160461 - 1. assign V322422 = V291443 + 1. assign V740085 = V160461 + 1. assign V567754 = V446561 - 1. assign V651251 = V028908 - 1. assign V445931 = V165893 + 1. assign V984212 = V227541. assign V253466 = V096275 + 1. assign V678065 = V903683 - 1. assign V806211 = V289735 - 1. assign V160461 = V858846. assign V567796 = V748033 - 1. assign V722548 = V445931. assign V212203 = V985815 + 1. assign V705385 = V184427. assign V233854 = V673864 + 1. assign V278483 = V160461. assign V227541 = V114977 - 1. assign V311595 = V858846 - 1. assign V815973 = 3. assign V289735 = V821029 + 1. assign V561403 = V165893. assign V184427 = V006905 + 1. assign V291443 = V858846 - 1. assign V238666 = V227541. assign V408430 = V911529 - 1. assign V453461 = V561403 - 1. assign V829766 = V890973. assign V167677 = V748033. assign V850341 = V406491. assign V885071 = V903683 - 1. assign V162406 = V268156 - 1. assign V903683 = V268156.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV815973 = 3;\n\nFrom these direct assignment(s), we have: \nV595482 = V815973 = 3;\nNo other variables can be derived from V595482;\nNo other variables can be derived from V815973;\n\nNow we have done all the calculations. Derived variables are:\nV815973 = 3;\nV595482 = 3;\n\nNow we have finished this problem. ANSWER:\nV815973, V595482\n", "role": "assistant" } ]

[ "V185552" ]

[ { "content": "<context>\nassign V845660 = V020808. assign V369023 = V994673. assign V918990 = V723742 - 1. assign V773264 = V209498 - 1. assign V626565 = V329841 + 1. assign V913667 = V802268 - 1. assign V001366 = V329841. assign V661673 = V031946 + 1. assign V376952 = V934099 - 1. assign V986060 = V775533 - 1. assign V508979 = V929692 - 1. assign V365961 = V369023 + 1. assign V714974 = V008346 - 1. assign V248304 = V489333 + 1. assign V269132 = V994673 - 1. assign V691149 = V921652. assign V614752 = V373930 - 1. assign V277105 = V909822 - 1. assign V097243 = V282979 - 1. assign V282979 = V209498 + 1. assign V756075 = V329841. assign V513564 = V691149 + 1. assign V723070 = V705114 + 1. assign V586354 = V001366 - 1. assign V110371 = V211115 + 1. assign V921652 = V001366 + 1. assign V775533 = V369023 + 1. assign V756965 = V282979. assign V705114 = V448217 + 1. assign V027889 = V211115. assign V625409 = V433594. assign V570135 = V918990. assign V211115 = V614752 - 1. assign V947288 = V277105 + 1. assign V924327 = V262453 + 1. assign V322030 = 2. assign V332312 = V775533 - 1. assign V800277 = V248304 + 1. assign V008346 = V209498 - 1. assign V101886 = V994673 + 1. assign V964551 = V448217 - 1. assign V982776 = V279776 + 1. assign V562599 = V373930 + 1. assign V238189 = V967281. assign V929692 = V433594 - 1. assign V598410 = V209498 + 1. assign V802268 = V433594. assign V967281 = V209498. assign V185552 = V322030 - 1. assign V078662 = V008346. assign V279776 = V431496 - 1. assign V431496 = V964551. assign V155390 = V557301. assign V262453 = V001366 + 1. assign V557301 = V773264. assign V373930 = V626565. assign V818789 = V448217 - 1. assign V569504 = V934099 - 1. assign V433594 = V078662 + 1. assign V531230 = V262453. assign V154548 = V818789 + 1. assign V723742 = V279776. assign V329841 = V448217 + 1. assign V909822 = V008346. assign V140159 = V238189 + 1. assign V637694 = V293810 + 1. assign V293810 = V165707 + 1. assign V283009 = V614752. assign V934099 = V705114 + 1. assign V688646 = V489333. assign V847414 = V614752 - 1. assign V020808 = V369023. assign V332150 = V448217 - 1. assign V859223 = V307751 - 1. assign V165707 = V031946. assign V994673 = V626565. assign V134824 = V211115. assign V610980 = V283009 + 1. assign V489333 = V373930 - 1. assign V227543 = V610980. assign V475081 = V209498. assign V031946 = V598410 - 1. assign V209498 = V448217 + 1. assign V516833 = V448217 + 1. assign V307751 = V431496. assign V520421 = V489333 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V845660 = V020808. assign V369023 = V994673. assign V918990 = V723742 - 1. assign V773264 = V209498 - 1. assign V626565 = V329841 + 1. assign V913667 = V802268 - 1. assign V001366 = V329841. assign V661673 = V031946 + 1. assign V376952 = V934099 - 1. assign V986060 = V775533 - 1. assign V508979 = V929692 - 1. assign V365961 = V369023 + 1. assign V714974 = V008346 - 1. assign V248304 = V489333 + 1. assign V269132 = V994673 - 1. assign V691149 = V921652. assign V614752 = V373930 - 1. assign V277105 = V909822 - 1. assign V097243 = V282979 - 1. assign V282979 = V209498 + 1. assign V756075 = V329841. assign V513564 = V691149 + 1. assign V723070 = V705114 + 1. assign V586354 = V001366 - 1. assign V110371 = V211115 + 1. assign V921652 = V001366 + 1. assign V775533 = V369023 + 1. assign V756965 = V282979. assign V705114 = V448217 + 1. assign V027889 = V211115. assign V625409 = V433594. assign V570135 = V918990. assign V211115 = V614752 - 1. assign V947288 = V277105 + 1. assign V924327 = V262453 + 1. assign V322030 = 2. assign V332312 = V775533 - 1. assign V800277 = V248304 + 1. assign V008346 = V209498 - 1. assign V101886 = V994673 + 1. assign V964551 = V448217 - 1. assign V982776 = V279776 + 1. assign V562599 = V373930 + 1. assign V238189 = V967281. assign V929692 = V433594 - 1. assign V598410 = V209498 + 1. assign V802268 = V433594. assign V967281 = V209498. assign V185552 = V322030 - 1. assign V078662 = V008346. assign V279776 = V431496 - 1. assign V431496 = V964551. assign V155390 = V557301. assign V262453 = V001366 + 1. assign V557301 = V773264. assign V373930 = V626565. assign V818789 = V448217 - 1. assign V569504 = V934099 - 1. assign V433594 = V078662 + 1. assign V531230 = V262453. assign V154548 = V818789 + 1. assign V723742 = V279776. assign V329841 = V448217 + 1. assign V909822 = V008346. assign V140159 = V238189 + 1. assign V637694 = V293810 + 1. assign V293810 = V165707 + 1. assign V283009 = V614752. assign V934099 = V705114 + 1. assign V688646 = V489333. assign V847414 = V614752 - 1. assign V020808 = V369023. assign V332150 = V448217 - 1. assign V859223 = V307751 - 1. assign V165707 = V031946. assign V994673 = V626565. assign V134824 = V211115. assign V610980 = V283009 + 1. assign V489333 = V373930 - 1. assign V227543 = V610980. assign V475081 = V209498. assign V031946 = V598410 - 1. assign V209498 = V448217 + 1. assign V516833 = V448217 + 1. assign V307751 = V431496. assign V520421 = V489333 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV322030 = 2;\n\nFrom these direct assignment(s), we have: \nV185552 = V322030 - 1 = 2 - 1 =1;\nNo other variables can be derived from V185552;\nNo other variables can be derived from V322030;\n\nNow we have done all the calculations. Derived variables are:\nV322030 = 2;\nV185552 = 1;\n\nNow we have finished this problem. ANSWER:\nV185552\n", "role": "assistant" } ]

[ "V712859", "V903255" ]

[ { "content": "<context>\nassign V838561 = V763554 - 1. assign V711515 = V613814. assign V267072 = V252372 - 1. assign V933935 = V596302 + 1. assign V770402 = V956771 - 1. assign V005057 = V344174. assign V847133 = V613814 - 1. assign V083921 = V815329 - 1. assign V844803 = V383362 - 1. assign V291170 = V266580. assign V118409 = V005057 - 1. assign V059814 = V587413 + 1. assign V280124 = V763554 + 1. assign V587413 = V252372 + 1. assign V956771 = V576636 - 1. assign V661986 = V563427 + 1. assign V633757 = V689106. assign V062076 = V548322. assign V319869 = V839110 - 1. assign V680368 = V613814 + 1. assign V252372 = V931547. assign V613814 = V915733. assign V252966 = V252372. assign V615898 = V059814 - 1. assign V538493 = V689106 - 1. assign V435957 = V280124. assign V630501 = V005057 + 1. assign V218188 = V767908 - 1. assign V321110 = V538493 - 1. assign V903255 = V712859. assign V647018 = V647678 + 1. assign V776484 = V344174. assign V372159 = V684979 - 1. assign V921788 = V647678 - 1. assign V839110 = V587413 + 1. assign V549736 = V711515. assign V563427 = V723410 + 1. assign V287410 = V915733 - 1. assign V846282 = V844803. assign V751950 = V680368 - 1. assign V580499 = V587413 - 1. assign V763554 = V613814 + 1. assign V110642 = V684979 - 1. assign V769043 = V784727 + 1. assign V250836 = V587413. assign V767908 = V996521. assign V513864 = V059814 + 1. assign V681846 = V647678 + 1. assign V458967 = V549736 - 1. assign V095581 = V395158. assign V338237 = V751950 - 1. assign V684979 = V931547 + 1. assign V913831 = V681846 - 1. assign V277278 = V280124 + 1. assign V418275 = V913831 + 1. assign V344174 = V647678 - 1. assign V815329 = V684979 - 1. assign V706196 = V338237. assign V978825 = V723483 + 1. assign V548322 = V847133 - 1. assign V723483 = V839110 - 1. assign V514597 = V915733. assign V352165 = V538493 - 1. assign V927673 = V435957. assign V712859 = 6. assign V647678 = V613814 + 1. assign V615040 = V689106 + 1. assign V266580 = V563427 - 1. assign V784727 = V280124 + 1. assign V387297 = V723483 - 1. assign V458466 = V383362 + 1. assign V996521 = V587413. assign V596302 = V587413 - 1. assign V723410 = V847133 + 1. assign V244517 = V633757. assign V197052 = V615898 - 1. assign V395158 = V059814 - 1. assign V689106 = V684979. assign V448732 = V852460. assign V383362 = V847133. assign V931547 = V647678. assign V852460 = V931547 + 1. assign V957154 = V956771 - 1. assign V788982 = V338237. assign V074061 = V647018 - 1. assign V576636 = V267072 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V838561 = V763554 - 1. assign V711515 = V613814. assign V267072 = V252372 - 1. assign V933935 = V596302 + 1. assign V770402 = V956771 - 1. assign V005057 = V344174. assign V847133 = V613814 - 1. assign V083921 = V815329 - 1. assign V844803 = V383362 - 1. assign V291170 = V266580. assign V118409 = V005057 - 1. assign V059814 = V587413 + 1. assign V280124 = V763554 + 1. assign V587413 = V252372 + 1. assign V956771 = V576636 - 1. assign V661986 = V563427 + 1. assign V633757 = V689106. assign V062076 = V548322. assign V319869 = V839110 - 1. assign V680368 = V613814 + 1. assign V252372 = V931547. assign V613814 = V915733. assign V252966 = V252372. assign V615898 = V059814 - 1. assign V538493 = V689106 - 1. assign V435957 = V280124. assign V630501 = V005057 + 1. assign V218188 = V767908 - 1. assign V321110 = V538493 - 1. assign V903255 = V712859. assign V647018 = V647678 + 1. assign V776484 = V344174. assign V372159 = V684979 - 1. assign V921788 = V647678 - 1. assign V839110 = V587413 + 1. assign V549736 = V711515. assign V563427 = V723410 + 1. assign V287410 = V915733 - 1. assign V846282 = V844803. assign V751950 = V680368 - 1. assign V580499 = V587413 - 1. assign V763554 = V613814 + 1. assign V110642 = V684979 - 1. assign V769043 = V784727 + 1. assign V250836 = V587413. assign V767908 = V996521. assign V513864 = V059814 + 1. assign V681846 = V647678 + 1. assign V458967 = V549736 - 1. assign V095581 = V395158. assign V338237 = V751950 - 1. assign V684979 = V931547 + 1. assign V913831 = V681846 - 1. assign V277278 = V280124 + 1. assign V418275 = V913831 + 1. assign V344174 = V647678 - 1. assign V815329 = V684979 - 1. assign V706196 = V338237. assign V978825 = V723483 + 1. assign V548322 = V847133 - 1. assign V723483 = V839110 - 1. assign V514597 = V915733. assign V352165 = V538493 - 1. assign V927673 = V435957. assign V712859 = 6. assign V647678 = V613814 + 1. assign V615040 = V689106 + 1. assign V266580 = V563427 - 1. assign V784727 = V280124 + 1. assign V387297 = V723483 - 1. assign V458466 = V383362 + 1. assign V996521 = V587413. assign V596302 = V587413 - 1. assign V723410 = V847133 + 1. assign V244517 = V633757. assign V197052 = V615898 - 1. assign V395158 = V059814 - 1. assign V689106 = V684979. assign V448732 = V852460. assign V383362 = V847133. assign V931547 = V647678. assign V852460 = V931547 + 1. assign V957154 = V956771 - 1. assign V788982 = V338237. assign V074061 = V647018 - 1. assign V576636 = V267072 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV712859 = 6;\n\nFrom these direct assignment(s), we have: \nV903255 = V712859 = 6;\nNo other variables can be derived from V903255;\nNo other variables can be derived from V712859;\n\nNow we have done all the calculations. Derived variables are:\nV712859 = 6;\nV903255 = 6;\n\nNow we have finished this problem. ANSWER:\nV712859, V903255\n", "role": "assistant" } ]

[ "V857940", "V735145" ]

[ { "content": "<context>\nassign V129362 = V519513 - 1. assign V572605 = V212466 - 1. assign V146919 = V507316 - 1. assign V846881 = V604924. assign V575884 = V507316. assign V883459 = V891606 + 1. assign V094272 = V823354 - 1. assign V656602 = V402026 + 1. assign V251934 = V891606 - 1. assign V891418 = V507316. assign V612739 = V630489 - 1. assign V630489 = V617569 - 1. assign V023516 = V283787. assign V998587 = V243432. assign V259416 = V067752 - 1. assign V390858 = V984030 + 1. assign V212466 = V293742 - 1. assign V831422 = V791457. assign V857940 = 8. assign V795207 = V951970 - 1. assign V333277 = V094272. assign V735145 = V857940. assign V799899 = V254773. assign V225800 = V617569 - 1. assign V219820 = V227443 + 1. assign V712139 = V283787. assign V868679 = V795207. assign V820093 = V846881 + 1. assign V617569 = V507316 - 1. assign V066372 = V998587. assign V243432 = V820093. assign V919273 = V507316 + 1. assign V984030 = V427147 - 1. assign V154186 = V712139 - 1. assign V604924 = V094272 + 1. assign V675337 = V823354 + 1. assign V035676 = V260220. assign V209747 = V023516 + 1. assign V891606 = V507316 - 1. assign V303713 = V293742 - 1. assign V029113 = V507316 + 1. assign V628213 = V283787 + 1. assign V293742 = V823354. assign V182066 = V147748 - 1. assign V992404 = V675337 - 1. assign V499705 = V319932 + 1. assign V791457 = V617569 - 1. assign V474122 = V566578 + 1. assign V260220 = V499705 - 1. assign V970016 = V507316 + 1. assign V420268 = V251934 + 1. assign V004081 = V883459. assign V254773 = V496535. assign V519513 = V883459. assign V496535 = V791457. assign V319932 = V541039. assign V402026 = V568689. assign V044611 = V831422. assign V427147 = V032643 - 1. assign V823354 = V507316 - 1. assign V828627 = V919273 + 1. assign V566578 = V919273. assign V640631 = V831422. assign V151866 = V951970 + 1. assign V541039 = V094272 + 1. assign V883541 = V225800 - 1. assign V450226 = V029113 - 1. assign V573378 = V146919 - 1. assign V865768 = V883459 + 1. assign V692889 = V617569. assign V207189 = V225800 + 1. assign V727849 = V390858 - 1. assign V821624 = V182066 - 1. assign V898621 = V566578. assign V067752 = V303713. assign V568689 = V795207. assign V821836 = V617569 - 1. assign V283787 = V675337 - 1. assign V032643 = V575884. assign V519327 = V617569 + 1. assign V642295 = V675337 + 1. assign V951970 = V507316 + 1. assign V593286 = V642295 - 1. assign V147748 = V951970. assign V227443 = V474122 + 1. assign V685403 = V970016.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V129362 = V519513 - 1. assign V572605 = V212466 - 1. assign V146919 = V507316 - 1. assign V846881 = V604924. assign V575884 = V507316. assign V883459 = V891606 + 1. assign V094272 = V823354 - 1. assign V656602 = V402026 + 1. assign V251934 = V891606 - 1. assign V891418 = V507316. assign V612739 = V630489 - 1. assign V630489 = V617569 - 1. assign V023516 = V283787. assign V998587 = V243432. assign V259416 = V067752 - 1. assign V390858 = V984030 + 1. assign V212466 = V293742 - 1. assign V831422 = V791457. assign V857940 = 8. assign V795207 = V951970 - 1. assign V333277 = V094272. assign V735145 = V857940. assign V799899 = V254773. assign V225800 = V617569 - 1. assign V219820 = V227443 + 1. assign V712139 = V283787. assign V868679 = V795207. assign V820093 = V846881 + 1. assign V617569 = V507316 - 1. assign V066372 = V998587. assign V243432 = V820093. assign V919273 = V507316 + 1. assign V984030 = V427147 - 1. assign V154186 = V712139 - 1. assign V604924 = V094272 + 1. assign V675337 = V823354 + 1. assign V035676 = V260220. assign V209747 = V023516 + 1. assign V891606 = V507316 - 1. assign V303713 = V293742 - 1. assign V029113 = V507316 + 1. assign V628213 = V283787 + 1. assign V293742 = V823354. assign V182066 = V147748 - 1. assign V992404 = V675337 - 1. assign V499705 = V319932 + 1. assign V791457 = V617569 - 1. assign V474122 = V566578 + 1. assign V260220 = V499705 - 1. assign V970016 = V507316 + 1. assign V420268 = V251934 + 1. assign V004081 = V883459. assign V254773 = V496535. assign V519513 = V883459. assign V496535 = V791457. assign V319932 = V541039. assign V402026 = V568689. assign V044611 = V831422. assign V427147 = V032643 - 1. assign V823354 = V507316 - 1. assign V828627 = V919273 + 1. assign V566578 = V919273. assign V640631 = V831422. assign V151866 = V951970 + 1. assign V541039 = V094272 + 1. assign V883541 = V225800 - 1. assign V450226 = V029113 - 1. assign V573378 = V146919 - 1. assign V865768 = V883459 + 1. assign V692889 = V617569. assign V207189 = V225800 + 1. assign V727849 = V390858 - 1. assign V821624 = V182066 - 1. assign V898621 = V566578. assign V067752 = V303713. assign V568689 = V795207. assign V821836 = V617569 - 1. assign V283787 = V675337 - 1. assign V032643 = V575884. assign V519327 = V617569 + 1. assign V642295 = V675337 + 1. assign V951970 = V507316 + 1. assign V593286 = V642295 - 1. assign V147748 = V951970. assign V227443 = V474122 + 1. assign V685403 = V970016.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV857940 = 8;\n\nFrom these direct assignment(s), we have: \nV735145 = V857940 = 8;\nNo other variables can be derived from V735145;\nNo other variables can be derived from V857940;\n\nNow we have done all the calculations. Derived variables are:\nV857940 = 8;\nV735145 = 8;\n\nNow we have finished this problem. ANSWER:\nV857940, V735145\n", "role": "assistant" } ]

[ "V651473" ]

[ { "content": "<context>\nassign V198398 = V643667 - 1. assign V980819 = V758649. assign V856480 = V056074 - 1. assign V695533 = V210774 - 1. assign V680020 = V731169 + 1. assign V370829 = V643667 + 1. assign V246269 = V731169. assign V416408 = V500472 + 1. assign V377989 = V143196 + 1. assign V836566 = V843879. assign V961467 = V817251. assign V882673 = V694393. assign V863826 = V007476 - 1. assign V399486 = V216560 + 1. assign V985406 = V059303. assign V694393 = V841613 - 1. assign V800816 = V980819 - 1. assign V986903 = V680020 + 1. assign V781415 = V611819 + 1. assign V469180 = V701789 + 1. assign V885627 = V007476. assign V448913 = V709593. assign V914140 = V216560. assign V281522 = V581663 - 1. assign V059303 = V669274. assign V604528 = V581663 + 1. assign V569745 = V748557. assign V370147 = V643667 + 1. assign V430725 = V370829 - 1. assign V175287 = V882673. assign V702475 = V469180 + 1. assign V921212 = V841613 - 1. assign V651473 = V977574 + 1. assign V210774 = V643667. assign V294760 = V143196. assign V820563 = V313394 - 1. assign V731169 = V007476 - 1. assign V018376 = V604528. assign V771792 = V702475 + 1. assign V216560 = V921212 + 1. assign V512911 = V500472. assign V838559 = V182810 - 1. assign V862692 = V773184 - 1. assign V037813 = V611819. assign V313394 = V643667 - 1. assign V247463 = V482577 - 1. assign V748557 = V438029 + 1. assign V817251 = V007476. assign V500472 = V210774 + 1. assign V709593 = V841613 - 1. assign V860781 = V725345 + 1. assign V320104 = V701789. assign V353601 = V604528. assign V655992 = V143196 + 1. assign V773184 = V820563. assign V669274 = V402721. assign V952001 = V701789 - 1. assign V056074 = V695533. assign V482577 = V402721. assign V611819 = V534714 - 1. assign V146743 = V246269 - 1. assign V844510 = V512911 - 1. assign V758649 = V817251 - 1. assign V534714 = V710667 + 1. assign V581663 = V643667 - 1. assign V806024 = V438029. assign V977574 = 9. assign V702924 = V448913 - 1. assign V710667 = V817251. assign V724431 = V773184 + 1. assign V658869 = V695533. assign V725345 = V985406. assign V007476 = V581663 - 1. assign V843879 = V377989 - 1. assign V066916 = V643667 - 1. assign V841613 = V643667. assign V357411 = V500472 - 1. assign V402721 = V921212 + 1. assign V701789 = V581663. assign V438029 = V694393. assign V952613 = V018376. assign V355591 = V370829 + 1. assign V024216 = V210774 + 1. assign V182810 = V399486. assign V143196 = V841613 - 1. assign V917912 = V758649 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V198398 = V643667 - 1. assign V980819 = V758649. assign V856480 = V056074 - 1. assign V695533 = V210774 - 1. assign V680020 = V731169 + 1. assign V370829 = V643667 + 1. assign V246269 = V731169. assign V416408 = V500472 + 1. assign V377989 = V143196 + 1. assign V836566 = V843879. assign V961467 = V817251. assign V882673 = V694393. assign V863826 = V007476 - 1. assign V399486 = V216560 + 1. assign V985406 = V059303. assign V694393 = V841613 - 1. assign V800816 = V980819 - 1. assign V986903 = V680020 + 1. assign V781415 = V611819 + 1. assign V469180 = V701789 + 1. assign V885627 = V007476. assign V448913 = V709593. assign V914140 = V216560. assign V281522 = V581663 - 1. assign V059303 = V669274. assign V604528 = V581663 + 1. assign V569745 = V748557. assign V370147 = V643667 + 1. assign V430725 = V370829 - 1. assign V175287 = V882673. assign V702475 = V469180 + 1. assign V921212 = V841613 - 1. assign V651473 = V977574 + 1. assign V210774 = V643667. assign V294760 = V143196. assign V820563 = V313394 - 1. assign V731169 = V007476 - 1. assign V018376 = V604528. assign V771792 = V702475 + 1. assign V216560 = V921212 + 1. assign V512911 = V500472. assign V838559 = V182810 - 1. assign V862692 = V773184 - 1. assign V037813 = V611819. assign V313394 = V643667 - 1. assign V247463 = V482577 - 1. assign V748557 = V438029 + 1. assign V817251 = V007476. assign V500472 = V210774 + 1. assign V709593 = V841613 - 1. assign V860781 = V725345 + 1. assign V320104 = V701789. assign V353601 = V604528. assign V655992 = V143196 + 1. assign V773184 = V820563. assign V669274 = V402721. assign V952001 = V701789 - 1. assign V056074 = V695533. assign V482577 = V402721. assign V611819 = V534714 - 1. assign V146743 = V246269 - 1. assign V844510 = V512911 - 1. assign V758649 = V817251 - 1. assign V534714 = V710667 + 1. assign V581663 = V643667 - 1. assign V806024 = V438029. assign V977574 = 9. assign V702924 = V448913 - 1. assign V710667 = V817251. assign V724431 = V773184 + 1. assign V658869 = V695533. assign V725345 = V985406. assign V007476 = V581663 - 1. assign V843879 = V377989 - 1. assign V066916 = V643667 - 1. assign V841613 = V643667. assign V357411 = V500472 - 1. assign V402721 = V921212 + 1. assign V701789 = V581663. assign V438029 = V694393. assign V952613 = V018376. assign V355591 = V370829 + 1. assign V024216 = V210774 + 1. assign V182810 = V399486. assign V143196 = V841613 - 1. assign V917912 = V758649 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV977574 = 9;\n\nFrom these direct assignment(s), we have: \nV651473 = V977574 + 1 = 9 + 1 =10;\nNo other variables can be derived from V651473;\nNo other variables can be derived from V977574;\n\nNow we have done all the calculations. Derived variables are:\nV977574 = 9;\nV651473 = 10;\n\nNow we have finished this problem. ANSWER:\nV651473\n", "role": "assistant" } ]

[ "V923050" ]

[ { "content": "<context>\nassign V133657 = V385627. assign V263588 = V367147 + 1. assign V366498 = V370702 + 1. assign V669187 = V181536 - 1. assign V517422 = V551610. assign V538281 = V850285 + 1. assign V381132 = V319916. assign V548906 = V231608 - 1. assign V812434 = V931015 - 1. assign V385627 = V370702 + 1. assign V647683 = V660795. assign V459366 = V929653 + 1. assign V131635 = V905957 + 1. assign V438126 = V905957 - 1. assign V752566 = V124757 - 1. assign V850285 = V884778. assign V380779 = V517422 - 1. assign V987951 = V555300 - 1. assign V884778 = V555091 - 1. assign V396758 = V051313 - 1. assign V783233 = V905957 + 1. assign V370702 = V131635 + 1. assign V167493 = V352810. assign V017635 = V931015 + 1. assign V107784 = V324505 + 1. assign V319916 = V132377 - 1. assign V905957 = V132377. assign V147901 = V682984 + 1. assign V272878 = V181536 + 1. assign V515699 = V555091 + 1. assign V930535 = V090006. assign V915091 = V660795. assign V479222 = V783233 + 1. assign V124757 = V800943 - 1. assign V169154 = V385627 - 1. assign V730015 = V051313 + 1. assign V241136 = V753550 + 1. assign V020399 = V003752 - 1. assign V923050 = 1. assign V231608 = V613505 + 1. assign V324505 = V555091 - 1. assign V386551 = V931015. assign V994217 = V132377. assign V333011 = V884778. assign V768459 = V905957. assign V800943 = V905957 + 1. assign V814184 = V905957. assign V003752 = V884778 + 1. assign V191280 = V800943. assign V352810 = V884778. assign V910945 = V931015 + 1. assign V367147 = V396758. assign V341481 = V515699 + 1. assign V430080 = V181536 - 1. assign V132377 = V626419. assign V660795 = V324505 + 1. assign V819606 = V753550. assign V181536 = V107784. assign V982371 = V181536. assign V054341 = V352810 - 1. assign V090006 = V324505 + 1. assign V834041 = V931015. assign V051313 = V905957 + 1. assign V262654 = V396758 - 1. assign V841063 = V107784. assign V390070 = V333011. assign V877345 = V834041. assign V753550 = V931015. assign V459614 = V841063. assign V613505 = V107784 - 1. assign V929653 = V613505 - 1. assign V918386 = V241136. assign V555091 = V626419 + 1. assign V551610 = V994744 - 1. assign V555300 = V555091 + 1. assign V315082 = V367147. assign V669597 = V910945 + 1. assign V317103 = V923050 + 1. assign V931015 = V660795 + 1. assign V682984 = V341481. assign V994744 = V929653 - 1. assign V383834 = V877345. assign V214250 = V381132. assign V887467 = V107784 - 1. assign V036597 = V381132. assign V027075 = V555300 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V133657 = V385627. assign V263588 = V367147 + 1. assign V366498 = V370702 + 1. assign V669187 = V181536 - 1. assign V517422 = V551610. assign V538281 = V850285 + 1. assign V381132 = V319916. assign V548906 = V231608 - 1. assign V812434 = V931015 - 1. assign V385627 = V370702 + 1. assign V647683 = V660795. assign V459366 = V929653 + 1. assign V131635 = V905957 + 1. assign V438126 = V905957 - 1. assign V752566 = V124757 - 1. assign V850285 = V884778. assign V380779 = V517422 - 1. assign V987951 = V555300 - 1. assign V884778 = V555091 - 1. assign V396758 = V051313 - 1. assign V783233 = V905957 + 1. assign V370702 = V131635 + 1. assign V167493 = V352810. assign V017635 = V931015 + 1. assign V107784 = V324505 + 1. assign V319916 = V132377 - 1. assign V905957 = V132377. assign V147901 = V682984 + 1. assign V272878 = V181536 + 1. assign V515699 = V555091 + 1. assign V930535 = V090006. assign V915091 = V660795. assign V479222 = V783233 + 1. assign V124757 = V800943 - 1. assign V169154 = V385627 - 1. assign V730015 = V051313 + 1. assign V241136 = V753550 + 1. assign V020399 = V003752 - 1. assign V923050 = 1. assign V231608 = V613505 + 1. assign V324505 = V555091 - 1. assign V386551 = V931015. assign V994217 = V132377. assign V333011 = V884778. assign V768459 = V905957. assign V800943 = V905957 + 1. assign V814184 = V905957. assign V003752 = V884778 + 1. assign V191280 = V800943. assign V352810 = V884778. assign V910945 = V931015 + 1. assign V367147 = V396758. assign V341481 = V515699 + 1. assign V430080 = V181536 - 1. assign V132377 = V626419. assign V660795 = V324505 + 1. assign V819606 = V753550. assign V181536 = V107784. assign V982371 = V181536. assign V054341 = V352810 - 1. assign V090006 = V324505 + 1. assign V834041 = V931015. assign V051313 = V905957 + 1. assign V262654 = V396758 - 1. assign V841063 = V107784. assign V390070 = V333011. assign V877345 = V834041. assign V753550 = V931015. assign V459614 = V841063. assign V613505 = V107784 - 1. assign V929653 = V613505 - 1. assign V918386 = V241136. assign V555091 = V626419 + 1. assign V551610 = V994744 - 1. assign V555300 = V555091 + 1. assign V315082 = V367147. assign V669597 = V910945 + 1. assign V317103 = V923050 + 1. assign V931015 = V660795 + 1. assign V682984 = V341481. assign V994744 = V929653 - 1. assign V383834 = V877345. assign V214250 = V381132. assign V887467 = V107784 - 1. assign V036597 = V381132. assign V027075 = V555300 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV923050 = 1;\n\nFrom these direct assignment(s), we have: \nV317103 = V923050 + 1 = 1 + 1 =2;\nNo other variables can be derived from V317103;\nNo other variables can be derived from V923050;\n\nNow we have done all the calculations. Derived variables are:\nV923050 = 1;\nV317103 = 2;\n\nNow we have finished this problem. ANSWER:\nV923050\n", "role": "assistant" } ]

[ "V825855" ]

[ { "content": "<context>\nassign V222351 = V328581 - 1. assign V104295 = V647833 + 1. assign V126254 = V240494 - 1. assign V374974 = V805767 + 1. assign V617505 = V736434 - 1. assign V107336 = V149979. assign V905816 = V230009 - 1. assign V725654 = V805767. assign V866730 = V113431 - 1. assign V445557 = V139992 - 1. assign V328752 = V103709 - 1. assign V149979 = V779298 - 1. assign V004594 = V691190 + 1. assign V215804 = V736434. assign V328581 = V143035 + 1. assign V028718 = V805767. assign V937899 = V866730 - 1. assign V596205 = V230009. assign V226928 = V113431 + 1. assign V585177 = 5. assign V247206 = V893625 + 1. assign V702706 = V078856. assign V732351 = V078856 - 1. assign V049391 = V725654. assign V643034 = V120242 - 1. assign V244883 = V143035 - 1. assign V103709 = V139992 - 1. assign V470621 = V893268. assign V825855 = V585177 - 1. assign V979029 = V569934 - 1. assign V195904 = V247206 + 1. assign V464989 = V938738 - 1. assign V995538 = V156834 - 1. assign V631596 = V654812 + 1. assign V156834 = V893625 - 1. assign V938738 = V407101 + 1. assign V723018 = V736434 - 1. assign V819826 = V979029. assign V689643 = V779298. assign V805767 = V113431. assign V647833 = V631596 - 1. assign V583442 = V068398. assign V139992 = V893268. assign V779298 = V078856. assign V996589 = V068398. assign V488622 = V215804. assign V419392 = V406943. assign V015529 = V770270 + 1. assign V406943 = V113431 + 1. assign V569934 = V068398 - 1. assign V893625 = V893268. assign V080443 = V979029 - 1. assign V120242 = V866730 + 1. assign V654812 = V215804 + 1. assign V387944 = V938738. assign V575416 = V643008 + 1. assign V285412 = V387944 - 1. assign V005363 = V893268 + 1. assign V078856 = V866730 - 1. assign V803463 = V215804 + 1. assign V113431 = V407101 + 1. assign V587398 = V569934. assign V544657 = V156834 + 1. assign V770270 = V569934 + 1. assign V240494 = V139992 + 1. assign V458729 = V544657 + 1. assign V736434 = V643008 + 1. assign V893268 = V736434 + 1. assign V632015 = V015529 - 1. assign V725556 = V120242 + 1. assign V691190 = V517919 - 1. assign V183539 = V387944 - 1. assign V068398 = V407101 + 1. assign V074286 = V406943 - 1. assign V189984 = V643008 - 1. assign V734772 = V905816 + 1. assign V517919 = V736434 + 1. assign V650256 = V569934. assign V674726 = V736434 - 1. assign V407101 = V643008 - 1. assign V023463 = V725654 - 1. assign V764047 = V078856 - 1. assign V570433 = V104295 - 1. assign V143035 = V689643 - 1. assign V230009 = V374974. assign V352254 = V893625 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V222351 = V328581 - 1. assign V104295 = V647833 + 1. assign V126254 = V240494 - 1. assign V374974 = V805767 + 1. assign V617505 = V736434 - 1. assign V107336 = V149979. assign V905816 = V230009 - 1. assign V725654 = V805767. assign V866730 = V113431 - 1. assign V445557 = V139992 - 1. assign V328752 = V103709 - 1. assign V149979 = V779298 - 1. assign V004594 = V691190 + 1. assign V215804 = V736434. assign V328581 = V143035 + 1. assign V028718 = V805767. assign V937899 = V866730 - 1. assign V596205 = V230009. assign V226928 = V113431 + 1. assign V585177 = 5. assign V247206 = V893625 + 1. assign V702706 = V078856. assign V732351 = V078856 - 1. assign V049391 = V725654. assign V643034 = V120242 - 1. assign V244883 = V143035 - 1. assign V103709 = V139992 - 1. assign V470621 = V893268. assign V825855 = V585177 - 1. assign V979029 = V569934 - 1. assign V195904 = V247206 + 1. assign V464989 = V938738 - 1. assign V995538 = V156834 - 1. assign V631596 = V654812 + 1. assign V156834 = V893625 - 1. assign V938738 = V407101 + 1. assign V723018 = V736434 - 1. assign V819826 = V979029. assign V689643 = V779298. assign V805767 = V113431. assign V647833 = V631596 - 1. assign V583442 = V068398. assign V139992 = V893268. assign V779298 = V078856. assign V996589 = V068398. assign V488622 = V215804. assign V419392 = V406943. assign V015529 = V770270 + 1. assign V406943 = V113431 + 1. assign V569934 = V068398 - 1. assign V893625 = V893268. assign V080443 = V979029 - 1. assign V120242 = V866730 + 1. assign V654812 = V215804 + 1. assign V387944 = V938738. assign V575416 = V643008 + 1. assign V285412 = V387944 - 1. assign V005363 = V893268 + 1. assign V078856 = V866730 - 1. assign V803463 = V215804 + 1. assign V113431 = V407101 + 1. assign V587398 = V569934. assign V544657 = V156834 + 1. assign V770270 = V569934 + 1. assign V240494 = V139992 + 1. assign V458729 = V544657 + 1. assign V736434 = V643008 + 1. assign V893268 = V736434 + 1. assign V632015 = V015529 - 1. assign V725556 = V120242 + 1. assign V691190 = V517919 - 1. assign V183539 = V387944 - 1. assign V068398 = V407101 + 1. assign V074286 = V406943 - 1. assign V189984 = V643008 - 1. assign V734772 = V905816 + 1. assign V517919 = V736434 + 1. assign V650256 = V569934. assign V674726 = V736434 - 1. assign V407101 = V643008 - 1. assign V023463 = V725654 - 1. assign V764047 = V078856 - 1. assign V570433 = V104295 - 1. assign V143035 = V689643 - 1. assign V230009 = V374974. assign V352254 = V893625 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV585177 = 5;\n\nFrom these direct assignment(s), we have: \nV825855 = V585177 - 1 = 5 - 1 =4;\nNo other variables can be derived from V825855;\nNo other variables can be derived from V585177;\n\nNow we have done all the calculations. Derived variables are:\nV585177 = 5;\nV825855 = 4;\n\nNow we have finished this problem. ANSWER:\nV825855\n", "role": "assistant" } ]

[ "V250079" ]

[ { "content": "<context>\nassign V297593 = V476308 + 1. assign V485390 = V022039 + 1. assign V221524 = V160070 - 1. assign V469828 = V790808. assign V465737 = V904982. assign V857639 = V790808 - 1. assign V441121 = V181554 - 1. assign V352275 = V557524 + 1. assign V988943 = V260337 + 1. assign V964693 = V795769. assign V798031 = V707642 - 1. assign V028856 = V919063 - 1. assign V557524 = V022039 - 1. assign V523044 = V663273 + 1. assign V572771 = V181554. assign V707642 = V022039 + 1. assign V723063 = V722740 + 1. assign V996613 = V244014 + 1. assign V036093 = V587025. assign V250079 = V600237 + 1. assign V004329 = V339268 - 1. assign V339268 = V798031. assign V449568 = V501639 + 1. assign V746311 = V350624 + 1. assign V723209 = V022039 + 1. assign V174325 = V434845 + 1. assign V160070 = V587709. assign V745965 = V763957. assign V242100 = V857639. assign V098018 = V528097. assign V484272 = V244014 - 1. assign V445519 = V587709. assign V836991 = V790808 - 1. assign V798671 = V587025 - 1. assign V358718 = V659060 - 1. assign V978063 = V836991 - 1. assign V501639 = V707642 + 1. assign V353567 = V022039. assign V933473 = V587709. assign V564282 = V445519 - 1. assign V434845 = V244014. assign V476308 = V587709 + 1. assign V780299 = V181554 - 1. assign V722740 = V996613 - 1. assign V683544 = V638195. assign V244014 = V790808 - 1. assign V587709 = V919063. assign V600237 = 0. assign V260337 = V587709 + 1. assign V969218 = V181554 + 1. assign V659060 = V484272. assign V313491 = V722740 - 1. assign V760556 = V297593. assign V663273 = V297593 - 1. assign V592179 = V996613 + 1. assign V703712 = V297593 - 1. assign V350624 = V996613 - 1. assign V904982 = V181554. assign V707013 = V557524. assign V067507 = V181554. assign V638195 = V587709. assign V586285 = V120231 - 1. assign V770895 = V621185. assign V587025 = V795769 + 1. assign V365765 = V836991 - 1. assign V285852 = V313491 + 1. assign V763957 = V798031. assign V682771 = V181554 + 1. assign V486497 = V313491. assign V868194 = V592179 + 1. assign V240572 = V703712 + 1. assign V621185 = V572771. assign V528097 = V484272. assign V795769 = V988943 + 1. assign V790808 = V919063 - 1. assign V578350 = V313491. assign V022039 = V919063. assign V120231 = V434845. assign V181554 = V795769 + 1. assign V036861 = V628173. assign V551092 = V919063 + 1. assign V628173 = V988943. assign V421703 = V358718 - 1. assign V640841 = V572771 - 1. assign V632362 = V353567 - 1. assign V610078 = V978063 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V297593 = V476308 + 1. assign V485390 = V022039 + 1. assign V221524 = V160070 - 1. assign V469828 = V790808. assign V465737 = V904982. assign V857639 = V790808 - 1. assign V441121 = V181554 - 1. assign V352275 = V557524 + 1. assign V988943 = V260337 + 1. assign V964693 = V795769. assign V798031 = V707642 - 1. assign V028856 = V919063 - 1. assign V557524 = V022039 - 1. assign V523044 = V663273 + 1. assign V572771 = V181554. assign V707642 = V022039 + 1. assign V723063 = V722740 + 1. assign V996613 = V244014 + 1. assign V036093 = V587025. assign V250079 = V600237 + 1. assign V004329 = V339268 - 1. assign V339268 = V798031. assign V449568 = V501639 + 1. assign V746311 = V350624 + 1. assign V723209 = V022039 + 1. assign V174325 = V434845 + 1. assign V160070 = V587709. assign V745965 = V763957. assign V242100 = V857639. assign V098018 = V528097. assign V484272 = V244014 - 1. assign V445519 = V587709. assign V836991 = V790808 - 1. assign V798671 = V587025 - 1. assign V358718 = V659060 - 1. assign V978063 = V836991 - 1. assign V501639 = V707642 + 1. assign V353567 = V022039. assign V933473 = V587709. assign V564282 = V445519 - 1. assign V434845 = V244014. assign V476308 = V587709 + 1. assign V780299 = V181554 - 1. assign V722740 = V996613 - 1. assign V683544 = V638195. assign V244014 = V790808 - 1. assign V587709 = V919063. assign V600237 = 0. assign V260337 = V587709 + 1. assign V969218 = V181554 + 1. assign V659060 = V484272. assign V313491 = V722740 - 1. assign V760556 = V297593. assign V663273 = V297593 - 1. assign V592179 = V996613 + 1. assign V703712 = V297593 - 1. assign V350624 = V996613 - 1. assign V904982 = V181554. assign V707013 = V557524. assign V067507 = V181554. assign V638195 = V587709. assign V586285 = V120231 - 1. assign V770895 = V621185. assign V587025 = V795769 + 1. assign V365765 = V836991 - 1. assign V285852 = V313491 + 1. assign V763957 = V798031. assign V682771 = V181554 + 1. assign V486497 = V313491. assign V868194 = V592179 + 1. assign V240572 = V703712 + 1. assign V621185 = V572771. assign V528097 = V484272. assign V795769 = V988943 + 1. assign V790808 = V919063 - 1. assign V578350 = V313491. assign V022039 = V919063. assign V120231 = V434845. assign V181554 = V795769 + 1. assign V036861 = V628173. assign V551092 = V919063 + 1. assign V628173 = V988943. assign V421703 = V358718 - 1. assign V640841 = V572771 - 1. assign V632362 = V353567 - 1. assign V610078 = V978063 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV600237 = 0;\n\nFrom these direct assignment(s), we have: \nV250079 = V600237 + 1 = 0 + 1 =1;\nNo other variables can be derived from V250079;\nNo other variables can be derived from V600237;\n\nNow we have done all the calculations. Derived variables are:\nV600237 = 0;\nV250079 = 1;\n\nNow we have finished this problem. ANSWER:\nV250079\n", "role": "assistant" } ]