Datasets:

---

suehyunpark

/

gsm_infinite_symbolic_1k

like 0

[ "V055333" ]

[ { "content": "<context>\nassign V719157 = V497336. assign V160208 = V200377 + 1. assign V252239 = V612411 - 1. assign V024252 = V446177 - 1. assign V126798 = V228959 + 1. assign V452836 = V729031 - 1. assign V327043 = V409699 + 1. assign V283513 = V252239 + 1. assign V087194 = V766627 + 1. assign V482334 = 7. assign V713465 = V968242 + 1. assign V446177 = V753586 - 1. assign V046339 = V496326. assign V557704 = V497336 - 1. assign V367451 = V540727 + 1. assign V012672 = V079613 - 1. assign V820870 = V566685. assign V055919 = V683608. assign V671073 = V204130 + 1. assign V729642 = V525848. assign V204130 = V766627 - 1. assign V200377 = V496326. assign V079613 = V497336. assign V764647 = V525848. assign V496326 = V753586. assign V352232 = V925599 + 1. assign V099524 = V169785 - 1. assign V937902 = V925599. assign V672234 = V117904 - 1. assign V673011 = V607832. assign V174024 = V497336 - 1. assign V090790 = V496326 + 1. assign V990046 = V090790. assign V401952 = V079613 - 1. assign V632365 = V566685 + 1. assign V766627 = V012672 + 1. assign V085511 = V090790. assign V497336 = V090790 + 1. assign V803915 = V025652 - 1. assign V729031 = V401952 - 1. assign V555366 = V216414. assign V956496 = V200377. assign V586996 = V764647 - 1. assign V447095 = V525848. assign V052719 = V085511 + 1. assign V285051 = V126798. assign V540727 = V079613 + 1. assign V925599 = V497336 + 1. assign V547173 = V764793 - 1. assign V523106 = V496326. assign V079758 = V497336 + 1. assign V409699 = V204130 + 1. assign V216414 = V764647. assign V380312 = V566685. assign V759721 = V586996 + 1. assign V764793 = V401952. assign V025652 = V764647. assign V914603 = V160208 + 1. assign V117904 = V169785 - 1. assign V490468 = V012672. assign V287139 = V820870 + 1. assign V673206 = V409699 + 1. assign V139158 = V946841. assign V074211 = V812113 + 1. assign V802411 = V713465 + 1. assign V946841 = V025652 + 1. assign V812113 = V025652 + 1. assign V228959 = V525848 - 1. assign V953520 = V523106 + 1. assign V968242 = V523106. assign V169785 = V803915 + 1. assign V753586 = V525848. assign V598106 = V753586 - 1. assign V666920 = V683608 - 1. assign V221857 = V174024 + 1. assign V860067 = V203396 - 1. assign V612411 = V671073 + 1. assign V607832 = V204130 + 1. assign V683608 = V766627 - 1. assign V055333 = V482334 - 1. assign V566685 = V497336 - 1. assign V203396 = V612411 - 1. assign V849404 = V547173 - 1. assign V569451 = V719157 - 1. assign V748367 = V598106. assign V905565 = V525848 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V719157 = V497336. assign V160208 = V200377 + 1. assign V252239 = V612411 - 1. assign V024252 = V446177 - 1. assign V126798 = V228959 + 1. assign V452836 = V729031 - 1. assign V327043 = V409699 + 1. assign V283513 = V252239 + 1. assign V087194 = V766627 + 1. assign V482334 = 7. assign V713465 = V968242 + 1. assign V446177 = V753586 - 1. assign V046339 = V496326. assign V557704 = V497336 - 1. assign V367451 = V540727 + 1. assign V012672 = V079613 - 1. assign V820870 = V566685. assign V055919 = V683608. assign V671073 = V204130 + 1. assign V729642 = V525848. assign V204130 = V766627 - 1. assign V200377 = V496326. assign V079613 = V497336. assign V764647 = V525848. assign V496326 = V753586. assign V352232 = V925599 + 1. assign V099524 = V169785 - 1. assign V937902 = V925599. assign V672234 = V117904 - 1. assign V673011 = V607832. assign V174024 = V497336 - 1. assign V090790 = V496326 + 1. assign V990046 = V090790. assign V401952 = V079613 - 1. assign V632365 = V566685 + 1. assign V766627 = V012672 + 1. assign V085511 = V090790. assign V497336 = V090790 + 1. assign V803915 = V025652 - 1. assign V729031 = V401952 - 1. assign V555366 = V216414. assign V956496 = V200377. assign V586996 = V764647 - 1. assign V447095 = V525848. assign V052719 = V085511 + 1. assign V285051 = V126798. assign V540727 = V079613 + 1. assign V925599 = V497336 + 1. assign V547173 = V764793 - 1. assign V523106 = V496326. assign V079758 = V497336 + 1. assign V409699 = V204130 + 1. assign V216414 = V764647. assign V380312 = V566685. assign V759721 = V586996 + 1. assign V764793 = V401952. assign V025652 = V764647. assign V914603 = V160208 + 1. assign V117904 = V169785 - 1. assign V490468 = V012672. assign V287139 = V820870 + 1. assign V673206 = V409699 + 1. assign V139158 = V946841. assign V074211 = V812113 + 1. assign V802411 = V713465 + 1. assign V946841 = V025652 + 1. assign V812113 = V025652 + 1. assign V228959 = V525848 - 1. assign V953520 = V523106 + 1. assign V968242 = V523106. assign V169785 = V803915 + 1. assign V753586 = V525848. assign V598106 = V753586 - 1. assign V666920 = V683608 - 1. assign V221857 = V174024 + 1. assign V860067 = V203396 - 1. assign V612411 = V671073 + 1. assign V607832 = V204130 + 1. assign V683608 = V766627 - 1. assign V055333 = V482334 - 1. assign V566685 = V497336 - 1. assign V203396 = V612411 - 1. assign V849404 = V547173 - 1. assign V569451 = V719157 - 1. assign V748367 = V598106. assign V905565 = V525848 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV482334 = 7;\n\nFrom these direct assignment(s), we have: \nV055333 = V482334 - 1 = 7 - 1 =6;\nNo other variables can be derived from V055333;\nNo other variables can be derived from V482334;\n\nNow we have done all the calculations. Derived variables are:\nV482334 = 7;\nV055333 = 6;\n\nNow we have finished this problem. ANSWER:\nV055333\n", "role": "assistant" } ]

[ "V647271", "V214201" ]

[ { "content": "<context>\nassign V955212 = V945698 - 1. assign V647271 = 3. assign V901275 = V178351 + 1. assign V511869 = V551412 + 1. assign V292142 = V693816 + 1. assign V580545 = V907851 - 1. assign V465116 = V566373 - 1. assign V960148 = V205037. assign V743527 = V907851. assign V326485 = V881595 - 1. assign V767982 = V576884 - 1. assign V566373 = V907851 - 1. assign V435043 = V462949. assign V576884 = V344348 - 1. assign V788551 = V451368. assign V672188 = V178351. assign V607851 = V462949 - 1. assign V800751 = V178351 - 1. assign V762058 = V581407 + 1. assign V704298 = V462949 + 1. assign V689675 = V907851. assign V940199 = V462949 - 1. assign V529914 = V566373. assign V551412 = V945698. assign V081765 = V609584 - 1. assign V219776 = V907851. assign V455461 = V743527 + 1. assign V948549 = V907851 + 1. assign V425248 = V134079 + 1. assign V987364 = V611795 + 1. assign V715979 = V901275. assign V581407 = V782024 - 1. assign V183980 = V581407. assign V721783 = V081765 - 1. assign V344348 = V907851. assign V548552 = V788551 - 1. assign V067322 = V681264 - 1. assign V609584 = V178351 - 1. assign V768127 = V178351. assign V094109 = V607851 - 1. assign V451368 = V198689. assign V254985 = V767982. assign V611795 = V551412 - 1. assign V716668 = V945698 + 1. assign V577295 = V462949 - 1. assign V681264 = V955212 - 1. assign V462949 = V918797 - 1. assign V881595 = V948549. assign V719953 = V178351 + 1. assign V364925 = V582078 - 1. assign V749472 = V609584. assign V642454 = V140567 + 1. assign V693816 = V541524 + 1. assign V918797 = V945698 + 1. assign V134079 = V987364 + 1. assign V350342 = V681264 + 1. assign V582078 = V716668 + 1. assign V230055 = V881595. assign V198689 = V743527 + 1. assign V802542 = V344348 - 1. assign V945698 = V907851. assign V798498 = V672188 - 1. assign V278234 = V511869 + 1. assign V704134 = V735486 + 1. assign V214201 = V647271. assign V526971 = V230055 - 1. assign V770090 = V582078. assign V818307 = V945698. assign V874614 = V576884. assign V541524 = V609584 + 1. assign V853628 = V576884. assign V962594 = V743527. assign V907851 = V178351 + 1. assign V894773 = V955212 - 1. assign V751434 = V987364 + 1. assign V157056 = V719953 - 1. assign V205037 = V940199 - 1. assign V643670 = V094109. assign V137263 = V767982 + 1. assign V735486 = V918797 + 1. assign V011611 = V081765. assign V250308 = V137263 - 1. assign V026431 = V689675 + 1. assign V140567 = V576884 + 1. assign V782024 = V462949 - 1. assign V110292 = V607851.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V955212 = V945698 - 1. assign V647271 = 3. assign V901275 = V178351 + 1. assign V511869 = V551412 + 1. assign V292142 = V693816 + 1. assign V580545 = V907851 - 1. assign V465116 = V566373 - 1. assign V960148 = V205037. assign V743527 = V907851. assign V326485 = V881595 - 1. assign V767982 = V576884 - 1. assign V566373 = V907851 - 1. assign V435043 = V462949. assign V576884 = V344348 - 1. assign V788551 = V451368. assign V672188 = V178351. assign V607851 = V462949 - 1. assign V800751 = V178351 - 1. assign V762058 = V581407 + 1. assign V704298 = V462949 + 1. assign V689675 = V907851. assign V940199 = V462949 - 1. assign V529914 = V566373. assign V551412 = V945698. assign V081765 = V609584 - 1. assign V219776 = V907851. assign V455461 = V743527 + 1. assign V948549 = V907851 + 1. assign V425248 = V134079 + 1. assign V987364 = V611795 + 1. assign V715979 = V901275. assign V581407 = V782024 - 1. assign V183980 = V581407. assign V721783 = V081765 - 1. assign V344348 = V907851. assign V548552 = V788551 - 1. assign V067322 = V681264 - 1. assign V609584 = V178351 - 1. assign V768127 = V178351. assign V094109 = V607851 - 1. assign V451368 = V198689. assign V254985 = V767982. assign V611795 = V551412 - 1. assign V716668 = V945698 + 1. assign V577295 = V462949 - 1. assign V681264 = V955212 - 1. assign V462949 = V918797 - 1. assign V881595 = V948549. assign V719953 = V178351 + 1. assign V364925 = V582078 - 1. assign V749472 = V609584. assign V642454 = V140567 + 1. assign V693816 = V541524 + 1. assign V918797 = V945698 + 1. assign V134079 = V987364 + 1. assign V350342 = V681264 + 1. assign V582078 = V716668 + 1. assign V230055 = V881595. assign V198689 = V743527 + 1. assign V802542 = V344348 - 1. assign V945698 = V907851. assign V798498 = V672188 - 1. assign V278234 = V511869 + 1. assign V704134 = V735486 + 1. assign V214201 = V647271. assign V526971 = V230055 - 1. assign V770090 = V582078. assign V818307 = V945698. assign V874614 = V576884. assign V541524 = V609584 + 1. assign V853628 = V576884. assign V962594 = V743527. assign V907851 = V178351 + 1. assign V894773 = V955212 - 1. assign V751434 = V987364 + 1. assign V157056 = V719953 - 1. assign V205037 = V940199 - 1. assign V643670 = V094109. assign V137263 = V767982 + 1. assign V735486 = V918797 + 1. assign V011611 = V081765. assign V250308 = V137263 - 1. assign V026431 = V689675 + 1. assign V140567 = V576884 + 1. assign V782024 = V462949 - 1. assign V110292 = V607851.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV647271 = 3;\n\nFrom these direct assignment(s), we have: \nV214201 = V647271 = 3;\nNo other variables can be derived from V214201;\nNo other variables can be derived from V647271;\n\nNow we have done all the calculations. Derived variables are:\nV647271 = 3;\nV214201 = 3;\n\nNow we have finished this problem. ANSWER:\nV647271, V214201\n", "role": "assistant" } ]

[ "V629580" ]

[ { "content": "<context>\nassign V549273 = V895622 - 1. assign V959460 = V255547. assign V146816 = V200388 + 1. assign V272781 = V477256. assign V776330 = V213592. assign V367453 = V213592. assign V617330 = V138346. assign V459877 = V163538 + 1. assign V629580 = 1. assign V255547 = V200388 - 1. assign V095460 = V496427 - 1. assign V610035 = V627363 + 1. assign V567110 = V627363 + 1. assign V963724 = V808578 + 1. assign V782063 = V673549 - 1. assign V166955 = V146816 - 1. assign V645853 = V249718 + 1. assign V948353 = V786633 - 1. assign V673549 = V095460 - 1. assign V420660 = V200388 - 1. assign V343717 = V784930 + 1. assign V529338 = V940425 - 1. assign V065770 = V477256 - 1. assign V092372 = V065770 + 1. assign V309070 = V163538 + 1. assign V398549 = V813157 + 1. assign V627363 = V146816 + 1. assign V234060 = V420660 + 1. assign V800112 = V104700. assign V358581 = V241356 - 1. assign V784930 = V940425 + 1. assign V327424 = V610035 + 1. assign V496427 = V200388. assign V163538 = V200388 - 1. assign V787353 = V125261 + 1. assign V859532 = V095460. assign V041770 = V617330. assign V695304 = V813157. assign V090968 = V959366. assign V266763 = V249718 + 1. assign V517535 = V799466 + 1. assign V307850 = V065770 + 1. assign V510322 = V146816 + 1. assign V142702 = V327424. assign V674663 = V629580 - 1. assign V851876 = V400754 - 1. assign V786633 = V166955 + 1. assign V860035 = V921766 - 1. assign V561132 = V567110 - 1. assign V178325 = V963724 - 1. assign V937469 = V903857 + 1. assign V999269 = V786633 - 1. assign V186627 = V673549 + 1. assign V620508 = V146816 - 1. assign V813157 = V784930 - 1. assign V148715 = V800112 + 1. assign V460640 = V186627 - 1. assign V454649 = V673549. assign V507423 = V959366. assign V125261 = V146816 + 1. assign V938162 = V309070 + 1. assign V477256 = V840737 - 1. assign V282945 = V859532 + 1. assign V562527 = V400754. assign V419965 = V234060 + 1. assign V213592 = V309070 - 1. assign V624199 = V095460 - 1. assign V903857 = V213592 + 1. assign V497557 = V095460 - 1. assign V940425 = V234060 - 1. assign V840737 = V163538. assign V290531 = V309070 + 1. assign V427706 = V836048 - 1. assign V895622 = V367453 + 1. assign V808578 = V813157 - 1. assign V921766 = V327424 + 1. assign V241356 = V200388 - 1. assign V249718 = V309070 + 1. assign V104700 = V921766. assign V503750 = V200388 + 1. assign V400754 = V255547. assign V109059 = V427706 - 1. assign V138346 = V309070 + 1. assign V836048 = V776330 - 1. assign V799466 = V496427. assign V959366 = V938162 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V549273 = V895622 - 1. assign V959460 = V255547. assign V146816 = V200388 + 1. assign V272781 = V477256. assign V776330 = V213592. assign V367453 = V213592. assign V617330 = V138346. assign V459877 = V163538 + 1. assign V629580 = 1. assign V255547 = V200388 - 1. assign V095460 = V496427 - 1. assign V610035 = V627363 + 1. assign V567110 = V627363 + 1. assign V963724 = V808578 + 1. assign V782063 = V673549 - 1. assign V166955 = V146816 - 1. assign V645853 = V249718 + 1. assign V948353 = V786633 - 1. assign V673549 = V095460 - 1. assign V420660 = V200388 - 1. assign V343717 = V784930 + 1. assign V529338 = V940425 - 1. assign V065770 = V477256 - 1. assign V092372 = V065770 + 1. assign V309070 = V163538 + 1. assign V398549 = V813157 + 1. assign V627363 = V146816 + 1. assign V234060 = V420660 + 1. assign V800112 = V104700. assign V358581 = V241356 - 1. assign V784930 = V940425 + 1. assign V327424 = V610035 + 1. assign V496427 = V200388. assign V163538 = V200388 - 1. assign V787353 = V125261 + 1. assign V859532 = V095460. assign V041770 = V617330. assign V695304 = V813157. assign V090968 = V959366. assign V266763 = V249718 + 1. assign V517535 = V799466 + 1. assign V307850 = V065770 + 1. assign V510322 = V146816 + 1. assign V142702 = V327424. assign V674663 = V629580 - 1. assign V851876 = V400754 - 1. assign V786633 = V166955 + 1. assign V860035 = V921766 - 1. assign V561132 = V567110 - 1. assign V178325 = V963724 - 1. assign V937469 = V903857 + 1. assign V999269 = V786633 - 1. assign V186627 = V673549 + 1. assign V620508 = V146816 - 1. assign V813157 = V784930 - 1. assign V148715 = V800112 + 1. assign V460640 = V186627 - 1. assign V454649 = V673549. assign V507423 = V959366. assign V125261 = V146816 + 1. assign V938162 = V309070 + 1. assign V477256 = V840737 - 1. assign V282945 = V859532 + 1. assign V562527 = V400754. assign V419965 = V234060 + 1. assign V213592 = V309070 - 1. assign V624199 = V095460 - 1. assign V903857 = V213592 + 1. assign V497557 = V095460 - 1. assign V940425 = V234060 - 1. assign V840737 = V163538. assign V290531 = V309070 + 1. assign V427706 = V836048 - 1. assign V895622 = V367453 + 1. assign V808578 = V813157 - 1. assign V921766 = V327424 + 1. assign V241356 = V200388 - 1. assign V249718 = V309070 + 1. assign V104700 = V921766. assign V503750 = V200388 + 1. assign V400754 = V255547. assign V109059 = V427706 - 1. assign V138346 = V309070 + 1. assign V836048 = V776330 - 1. assign V799466 = V496427. assign V959366 = V938162 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV629580 = 1;\n\nFrom these direct assignment(s), we have: \nV674663 = V629580 - 1 = 1 - 1 =0;\nNo other variables can be derived from V674663;\nNo other variables can be derived from V629580;\n\nNow we have done all the calculations. Derived variables are:\nV629580 = 1;\nV674663 = 0;\n\nNow we have finished this problem. ANSWER:\nV629580\n", "role": "assistant" } ]

[ "V908896" ]

[ { "content": "<context>\nassign V463680 = V861646. assign V597023 = V726782 + 1. assign V322327 = V463680. assign V522196 = V909166 - 1. assign V710170 = V665286 + 1. assign V007603 = V861646 + 1. assign V605316 = V004335. assign V730950 = V275496 + 1. assign V302397 = V632603 + 1. assign V428902 = V302397 - 1. assign V750066 = V240071 + 1. assign V352157 = V078449 + 1. assign V120982 = V297175 + 1. assign V201476 = V443340. assign V076631 = V861646. assign V443340 = V440758. assign V004335 = V440758 + 1. assign V448806 = V730950 - 1. assign V926289 = V090236 + 1. assign V374014 = V922307. assign V006666 = V909166 - 1. assign V240071 = V665286 - 1. assign V421842 = V059027. assign V440758 = V665286 - 1. assign V737003 = V043663. assign V577472 = V861646. assign V336603 = V632603 + 1. assign V297175 = V730950 - 1. assign V455809 = V738884 + 1. assign V152072 = V279218 + 1. assign V591520 = V275496 - 1. assign V376483 = V440758 + 1. assign V726782 = V059027. assign V738884 = V076631 + 1. assign V187518 = V706796. assign V059027 = V004335 - 1. assign V103749 = V440758 + 1. assign V952727 = V665286 - 1. assign V489020 = V387579. assign V736619 = V710170. assign V193343 = V090236. assign V040822 = V730950. assign V011900 = V240071. assign V575094 = V443340 - 1. assign V831153 = V240071. assign V111075 = V957995 - 1. assign V078449 = V112625. assign V563560 = V819920. assign V706796 = V374014. assign V155559 = V078591 - 1. assign V904748 = V726782. assign V648624 = V516729 + 1. assign V934199 = V067129 + 1. assign V020255 = V440758. assign V015861 = V078591 + 1. assign V696882 = V925242. assign V387579 = V904748. assign V632603 = V440758 + 1. assign V043663 = V440758 + 1. assign V279218 = V463680. assign V908896 = 10. assign V090236 = V043663 - 1. assign V818981 = V020255 + 1. assign V957995 = V352157 - 1. assign V078591 = V861646 - 1. assign V917781 = V112625. assign V633674 = V738884 - 1. assign V497159 = V665286 - 1. assign V909166 = V090236 - 1. assign V275496 = V861646 - 1. assign V291888 = V665286 - 1. assign V067129 = V522196 + 1. assign V767364 = V861646 - 1. assign V124776 = V577472. assign V925242 = V665286 - 1. assign V861646 = V004335 - 1. assign V792185 = V103749 + 1. assign V112625 = V275496 - 1. assign V835154 = V275496. assign V819920 = V302397. assign V356050 = V577472. assign V216454 = V015861. assign V516729 = V665286 - 1. assign V775873 = V665286 - 1. assign V933346 = V908896 + 1. assign V922307 = V090236 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V463680 = V861646. assign V597023 = V726782 + 1. assign V322327 = V463680. assign V522196 = V909166 - 1. assign V710170 = V665286 + 1. assign V007603 = V861646 + 1. assign V605316 = V004335. assign V730950 = V275496 + 1. assign V302397 = V632603 + 1. assign V428902 = V302397 - 1. assign V750066 = V240071 + 1. assign V352157 = V078449 + 1. assign V120982 = V297175 + 1. assign V201476 = V443340. assign V076631 = V861646. assign V443340 = V440758. assign V004335 = V440758 + 1. assign V448806 = V730950 - 1. assign V926289 = V090236 + 1. assign V374014 = V922307. assign V006666 = V909166 - 1. assign V240071 = V665286 - 1. assign V421842 = V059027. assign V440758 = V665286 - 1. assign V737003 = V043663. assign V577472 = V861646. assign V336603 = V632603 + 1. assign V297175 = V730950 - 1. assign V455809 = V738884 + 1. assign V152072 = V279218 + 1. assign V591520 = V275496 - 1. assign V376483 = V440758 + 1. assign V726782 = V059027. assign V738884 = V076631 + 1. assign V187518 = V706796. assign V059027 = V004335 - 1. assign V103749 = V440758 + 1. assign V952727 = V665286 - 1. assign V489020 = V387579. assign V736619 = V710170. assign V193343 = V090236. assign V040822 = V730950. assign V011900 = V240071. assign V575094 = V443340 - 1. assign V831153 = V240071. assign V111075 = V957995 - 1. assign V078449 = V112625. assign V563560 = V819920. assign V706796 = V374014. assign V155559 = V078591 - 1. assign V904748 = V726782. assign V648624 = V516729 + 1. assign V934199 = V067129 + 1. assign V020255 = V440758. assign V015861 = V078591 + 1. assign V696882 = V925242. assign V387579 = V904748. assign V632603 = V440758 + 1. assign V043663 = V440758 + 1. assign V279218 = V463680. assign V908896 = 10. assign V090236 = V043663 - 1. assign V818981 = V020255 + 1. assign V957995 = V352157 - 1. assign V078591 = V861646 - 1. assign V917781 = V112625. assign V633674 = V738884 - 1. assign V497159 = V665286 - 1. assign V909166 = V090236 - 1. assign V275496 = V861646 - 1. assign V291888 = V665286 - 1. assign V067129 = V522196 + 1. assign V767364 = V861646 - 1. assign V124776 = V577472. assign V925242 = V665286 - 1. assign V861646 = V004335 - 1. assign V792185 = V103749 + 1. assign V112625 = V275496 - 1. assign V835154 = V275496. assign V819920 = V302397. assign V356050 = V577472. assign V216454 = V015861. assign V516729 = V665286 - 1. assign V775873 = V665286 - 1. assign V933346 = V908896 + 1. assign V922307 = V090236 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV908896 = 10;\n\nFrom these direct assignment(s), we have: \nV933346 = V908896 + 1 = 10 + 1 =11;\nNo other variables can be derived from V933346;\nNo other variables can be derived from V908896;\n\nNow we have done all the calculations. Derived variables are:\nV908896 = 10;\nV933346 = 11;\n\nNow we have finished this problem. ANSWER:\nV908896\n", "role": "assistant" } ]

[ "V253388" ]

[ { "content": "<context>\nassign V143434 = V937753. assign V843906 = V491031 + 1. assign V930789 = V124930. assign V942471 = V994935 - 1. assign V334100 = V070296. assign V528004 = V936983 + 1. assign V817079 = V999957 - 1. assign V977008 = V926220 + 1. assign V333312 = V391627. assign V329070 = V854656 + 1. assign V269989 = V936983 + 1. assign V588583 = V596442. assign V937753 = V588583 - 1. assign V073776 = V534561. assign V903589 = V342433. assign V560663 = V975547 + 1. assign V737099 = V561521 - 1. assign V048772 = V568739 - 1. assign V962159 = V635217. assign V517822 = V903589 + 1. assign V854656 = V499189. assign V561521 = V528004 + 1. assign V244094 = V969644. assign V023069 = V253388 + 1. assign V124660 = V517822 - 1. assign V381276 = V171163 - 1. assign V879574 = V635217 - 1. assign V253388 = 8. assign V334074 = V926220 - 1. assign V969644 = V349132. assign V975547 = V588583. assign V178567 = V079352 + 1. assign V197297 = V984076. assign V994935 = V596442. assign V301985 = V334074 + 1. assign V079352 = V994935. assign V568739 = V499189. assign V848455 = V854656 + 1. assign V868281 = V269989. assign V824253 = V517822 + 1. assign V124902 = V491031 + 1. assign V926220 = V879574 + 1. assign V270441 = V588583 - 1. assign V159823 = V937753 - 1. assign V867773 = V269989. assign V130990 = V596442. assign V234672 = V588583 - 1. assign V632038 = V599076 - 1. assign V073447 = V999957. assign V221416 = V578920 - 1. assign V578920 = V499189. assign V391627 = V269989 - 1. assign V017316 = V499189 + 1. assign V070296 = V588583 + 1. assign V975712 = V817079 + 1. assign V342433 = V247106. assign V863118 = V854656. assign V198874 = V349132. assign V474500 = V073776. assign V349132 = V073447 + 1. assign V171163 = V269989 + 1. assign V247106 = V854656 + 1. assign V729394 = V349132. assign V124930 = V534561. assign V307390 = V124902 + 1. assign V469034 = V424664 - 1. assign V534561 = V342433 - 1. assign V333032 = V937753 - 1. assign V936983 = V999957. assign V537741 = V197297 + 1. assign V680193 = V854656 - 1. assign V264286 = V596442. assign V679152 = V560663 - 1. assign V676677 = V270441 + 1. assign V635217 = V975547 + 1. assign V491031 = V073776 + 1. assign V596442 = V854656 + 1. assign V416772 = V969644. assign V424664 = V879574 - 1. assign V764186 = V561521 + 1. assign V907122 = V588583 - 1. assign V499189 = V999957 + 1. assign V984076 = V848455 - 1. assign V505201 = V867773 + 1. assign V599076 = V499189 + 1. assign V226604 = V244094 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V143434 = V937753. assign V843906 = V491031 + 1. assign V930789 = V124930. assign V942471 = V994935 - 1. assign V334100 = V070296. assign V528004 = V936983 + 1. assign V817079 = V999957 - 1. assign V977008 = V926220 + 1. assign V333312 = V391627. assign V329070 = V854656 + 1. assign V269989 = V936983 + 1. assign V588583 = V596442. assign V937753 = V588583 - 1. assign V073776 = V534561. assign V903589 = V342433. assign V560663 = V975547 + 1. assign V737099 = V561521 - 1. assign V048772 = V568739 - 1. assign V962159 = V635217. assign V517822 = V903589 + 1. assign V854656 = V499189. assign V561521 = V528004 + 1. assign V244094 = V969644. assign V023069 = V253388 + 1. assign V124660 = V517822 - 1. assign V381276 = V171163 - 1. assign V879574 = V635217 - 1. assign V253388 = 8. assign V334074 = V926220 - 1. assign V969644 = V349132. assign V975547 = V588583. assign V178567 = V079352 + 1. assign V197297 = V984076. assign V994935 = V596442. assign V301985 = V334074 + 1. assign V079352 = V994935. assign V568739 = V499189. assign V848455 = V854656 + 1. assign V868281 = V269989. assign V824253 = V517822 + 1. assign V124902 = V491031 + 1. assign V926220 = V879574 + 1. assign V270441 = V588583 - 1. assign V159823 = V937753 - 1. assign V867773 = V269989. assign V130990 = V596442. assign V234672 = V588583 - 1. assign V632038 = V599076 - 1. assign V073447 = V999957. assign V221416 = V578920 - 1. assign V578920 = V499189. assign V391627 = V269989 - 1. assign V017316 = V499189 + 1. assign V070296 = V588583 + 1. assign V975712 = V817079 + 1. assign V342433 = V247106. assign V863118 = V854656. assign V198874 = V349132. assign V474500 = V073776. assign V349132 = V073447 + 1. assign V171163 = V269989 + 1. assign V247106 = V854656 + 1. assign V729394 = V349132. assign V124930 = V534561. assign V307390 = V124902 + 1. assign V469034 = V424664 - 1. assign V534561 = V342433 - 1. assign V333032 = V937753 - 1. assign V936983 = V999957. assign V537741 = V197297 + 1. assign V680193 = V854656 - 1. assign V264286 = V596442. assign V679152 = V560663 - 1. assign V676677 = V270441 + 1. assign V635217 = V975547 + 1. assign V491031 = V073776 + 1. assign V596442 = V854656 + 1. assign V416772 = V969644. assign V424664 = V879574 - 1. assign V764186 = V561521 + 1. assign V907122 = V588583 - 1. assign V499189 = V999957 + 1. assign V984076 = V848455 - 1. assign V505201 = V867773 + 1. assign V599076 = V499189 + 1. assign V226604 = V244094 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV253388 = 8;\n\nFrom these direct assignment(s), we have: \nV023069 = V253388 + 1 = 8 + 1 =9;\nNo other variables can be derived from V023069;\nNo other variables can be derived from V253388;\n\nNow we have done all the calculations. Derived variables are:\nV253388 = 8;\nV023069 = 9;\n\nNow we have finished this problem. ANSWER:\nV253388\n", "role": "assistant" } ]

[ "V519885" ]

[ { "content": "<context>\nassign V881345 = V621253 - 1. assign V630765 = V957473 + 1. assign V751473 = V145439 + 1. assign V056258 = V412005. assign V918816 = V523884 + 1. assign V327860 = V822112 + 1. assign V246573 = V229904 + 1. assign V997076 = V806861. assign V716147 = V519885 - 1. assign V767167 = V751473. assign V902643 = V982992. assign V999410 = V881345 - 1. assign V145439 = V681861 + 1. assign V592759 = V935593 - 1. assign V123350 = V859816. assign V410762 = V022045. assign V617135 = V829992 + 1. assign V700882 = V630765 + 1. assign V906213 = V617135 + 1. assign V720946 = V365917 - 1. assign V621253 = V145439 - 1. assign V806861 = V935593. assign V896397 = V630765. assign V957473 = V681861 + 1. assign V197938 = V902643. assign V151923 = V197938. assign V775032 = V030127 + 1. assign V403511 = V225009 - 1. assign V310575 = V627791 - 1. assign V589140 = V906213 - 1. assign V351299 = V681129. assign V323417 = V627791 + 1. assign V225009 = V617135 + 1. assign V068850 = V957473 + 1. assign V754246 = V681129 + 1. assign V412005 = V806861 - 1. assign V909728 = V260580 + 1. assign V600835 = V909728 - 1. assign V713680 = V617135 - 1. assign V625673 = V902643 - 1. assign V229904 = V881345. assign V022045 = V621253. assign V910267 = V410762 + 1. assign V043972 = V495460. assign V578644 = V681129 - 1. assign V681129 = V997076. assign V439067 = V997076. assign V927972 = V617135 + 1. assign V822112 = V751473 - 1. assign V207099 = V229904. assign V125169 = V578644 + 1. assign V627791 = V935593. assign V495460 = V910267 - 1. assign V982992 = V412005. assign V604279 = V933480. assign V519885 = 1. assign V914941 = V751473 + 1. assign V365917 = V145439. assign V441888 = V592759 + 1. assign V029214 = V323417 - 1. assign V689740 = V627791. assign V523884 = V842056 - 1. assign V030127 = V197938 - 1. assign V921055 = V197938 + 1. assign V673656 = V346839 - 1. assign V300026 = V806861. assign V302522 = V914941 + 1. assign V842056 = V617135 + 1. assign V580754 = V412005. assign V009529 = V829992 - 1. assign V238951 = V935593 - 1. assign V075533 = V909728 + 1. assign V260580 = V197938. assign V398344 = V906213 + 1. assign V630870 = V627791. assign V829992 = V621253 + 1. assign V651826 = V578644. assign V681861 = V412005. assign V782568 = V881345. assign V903203 = V720946 - 1. assign V779669 = V842056 + 1. assign V859816 = V238951. assign V413484 = V410762 + 1. assign V346839 = V365917 - 1. assign V776375 = V056258. assign V933480 = V260580.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V881345 = V621253 - 1. assign V630765 = V957473 + 1. assign V751473 = V145439 + 1. assign V056258 = V412005. assign V918816 = V523884 + 1. assign V327860 = V822112 + 1. assign V246573 = V229904 + 1. assign V997076 = V806861. assign V716147 = V519885 - 1. assign V767167 = V751473. assign V902643 = V982992. assign V999410 = V881345 - 1. assign V145439 = V681861 + 1. assign V592759 = V935593 - 1. assign V123350 = V859816. assign V410762 = V022045. assign V617135 = V829992 + 1. assign V700882 = V630765 + 1. assign V906213 = V617135 + 1. assign V720946 = V365917 - 1. assign V621253 = V145439 - 1. assign V806861 = V935593. assign V896397 = V630765. assign V957473 = V681861 + 1. assign V197938 = V902643. assign V151923 = V197938. assign V775032 = V030127 + 1. assign V403511 = V225009 - 1. assign V310575 = V627791 - 1. assign V589140 = V906213 - 1. assign V351299 = V681129. assign V323417 = V627791 + 1. assign V225009 = V617135 + 1. assign V068850 = V957473 + 1. assign V754246 = V681129 + 1. assign V412005 = V806861 - 1. assign V909728 = V260580 + 1. assign V600835 = V909728 - 1. assign V713680 = V617135 - 1. assign V625673 = V902643 - 1. assign V229904 = V881345. assign V022045 = V621253. assign V910267 = V410762 + 1. assign V043972 = V495460. assign V578644 = V681129 - 1. assign V681129 = V997076. assign V439067 = V997076. assign V927972 = V617135 + 1. assign V822112 = V751473 - 1. assign V207099 = V229904. assign V125169 = V578644 + 1. assign V627791 = V935593. assign V495460 = V910267 - 1. assign V982992 = V412005. assign V604279 = V933480. assign V519885 = 1. assign V914941 = V751473 + 1. assign V365917 = V145439. assign V441888 = V592759 + 1. assign V029214 = V323417 - 1. assign V689740 = V627791. assign V523884 = V842056 - 1. assign V030127 = V197938 - 1. assign V921055 = V197938 + 1. assign V673656 = V346839 - 1. assign V300026 = V806861. assign V302522 = V914941 + 1. assign V842056 = V617135 + 1. assign V580754 = V412005. assign V009529 = V829992 - 1. assign V238951 = V935593 - 1. assign V075533 = V909728 + 1. assign V260580 = V197938. assign V398344 = V906213 + 1. assign V630870 = V627791. assign V829992 = V621253 + 1. assign V651826 = V578644. assign V681861 = V412005. assign V782568 = V881345. assign V903203 = V720946 - 1. assign V779669 = V842056 + 1. assign V859816 = V238951. assign V413484 = V410762 + 1. assign V346839 = V365917 - 1. assign V776375 = V056258. assign V933480 = V260580.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV519885 = 1;\n\nFrom these direct assignment(s), we have: \nV716147 = V519885 - 1 = 1 - 1 =0;\nNo other variables can be derived from V716147;\nNo other variables can be derived from V519885;\n\nNow we have done all the calculations. Derived variables are:\nV519885 = 1;\nV716147 = 0;\n\nNow we have finished this problem. ANSWER:\nV519885\n", "role": "assistant" } ]

[ "V792384", "V779114" ]

[ { "content": "<context>\nassign V317486 = V470906 - 1. assign V912401 = V121923 - 1. assign V642634 = V616392 - 1. assign V779114 = V792384. assign V265922 = V931567 + 1. assign V761694 = V310075 - 1. assign V382343 = V074797. assign V151367 = V321180 - 1. assign V482864 = V671918 + 1. assign V147060 = V192664 - 1. assign V184748 = V527634 - 1. assign V313416 = V428924 + 1. assign V000036 = V496723 + 1. assign V793480 = V712124 + 1. assign V428924 = V150701 - 1. assign V233100 = V582370. assign V310075 = V313416 - 1. assign V611225 = V019675 - 1. assign V273792 = V484831 - 1. assign V192664 = V877097. assign V301569 = V517429. assign V735124 = V382343. assign V036195 = V586104 - 1. assign V121923 = V582370. assign V587595 = V382343. assign V527634 = V127038 - 1. assign V948816 = V939187 - 1. assign V781160 = V127038. assign V304766 = V120244 - 1. assign V074797 = V150701 - 1. assign V712654 = V316227 + 1. assign V278358 = V496723 - 1. assign V398190 = V235476. assign V775574 = V313416 + 1. assign V766964 = V613115 + 1. assign V256123 = V150701 + 1. assign V931567 = V428924. assign V127038 = V026788. assign V316227 = V150701 - 1. assign V061834 = V235476. assign V659597 = V382343 - 1. assign V108366 = V026788 - 1. assign V336489 = V659597 - 1. assign V984955 = V877097 + 1. assign V748226 = V265922 - 1. assign V470906 = V613115 - 1. assign V321180 = V527634 + 1. assign V671918 = V150701 - 1. assign V864981 = V265922. assign V405449 = V940470 - 1. assign V964097 = V587595 + 1. assign V484831 = V313416 - 1. assign V582370 = V877097 + 1. assign V405503 = V074797. assign V026788 = V877097 + 1. assign V019675 = V235476 - 1. assign V583359 = V712124 - 1. assign V712124 = V587595 - 1. assign V696002 = V074797 - 1. assign V376518 = V899619 + 1. assign V612141 = V293660 + 1. assign V517429 = V108366 - 1. assign V616392 = V877097 - 1. assign V899619 = V496723 - 1. assign V740970 = V587595 - 1. assign V428811 = V964097. assign V021829 = V761694. assign V293660 = V428924 - 1. assign V349907 = V121923. assign V120244 = V405503 - 1. assign V940470 = V108366 + 1. assign V098219 = V150701 - 1. assign V235476 = V642634 + 1. assign V916874 = V121923 - 1. assign V869582 = V405503. assign V496723 = V021829. assign V854790 = V735124. assign V613115 = V293660 + 1. assign V467076 = V150701 + 1. assign V586104 = V235476 + 1. assign V528355 = V192664 + 1. assign V204261 = V405449 + 1. assign V877097 = V074797 + 1. assign V939187 = V074797 - 1. assign V688205 = V235476 - 1. assign V792384 = 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 V317486 = V470906 - 1. assign V912401 = V121923 - 1. assign V642634 = V616392 - 1. assign V779114 = V792384. assign V265922 = V931567 + 1. assign V761694 = V310075 - 1. assign V382343 = V074797. assign V151367 = V321180 - 1. assign V482864 = V671918 + 1. assign V147060 = V192664 - 1. assign V184748 = V527634 - 1. assign V313416 = V428924 + 1. assign V000036 = V496723 + 1. assign V793480 = V712124 + 1. assign V428924 = V150701 - 1. assign V233100 = V582370. assign V310075 = V313416 - 1. assign V611225 = V019675 - 1. assign V273792 = V484831 - 1. assign V192664 = V877097. assign V301569 = V517429. assign V735124 = V382343. assign V036195 = V586104 - 1. assign V121923 = V582370. assign V587595 = V382343. assign V527634 = V127038 - 1. assign V948816 = V939187 - 1. assign V781160 = V127038. assign V304766 = V120244 - 1. assign V074797 = V150701 - 1. assign V712654 = V316227 + 1. assign V278358 = V496723 - 1. assign V398190 = V235476. assign V775574 = V313416 + 1. assign V766964 = V613115 + 1. assign V256123 = V150701 + 1. assign V931567 = V428924. assign V127038 = V026788. assign V316227 = V150701 - 1. assign V061834 = V235476. assign V659597 = V382343 - 1. assign V108366 = V026788 - 1. assign V336489 = V659597 - 1. assign V984955 = V877097 + 1. assign V748226 = V265922 - 1. assign V470906 = V613115 - 1. assign V321180 = V527634 + 1. assign V671918 = V150701 - 1. assign V864981 = V265922. assign V405449 = V940470 - 1. assign V964097 = V587595 + 1. assign V484831 = V313416 - 1. assign V582370 = V877097 + 1. assign V405503 = V074797. assign V026788 = V877097 + 1. assign V019675 = V235476 - 1. assign V583359 = V712124 - 1. assign V712124 = V587595 - 1. assign V696002 = V074797 - 1. assign V376518 = V899619 + 1. assign V612141 = V293660 + 1. assign V517429 = V108366 - 1. assign V616392 = V877097 - 1. assign V899619 = V496723 - 1. assign V740970 = V587595 - 1. assign V428811 = V964097. assign V021829 = V761694. assign V293660 = V428924 - 1. assign V349907 = V121923. assign V120244 = V405503 - 1. assign V940470 = V108366 + 1. assign V098219 = V150701 - 1. assign V235476 = V642634 + 1. assign V916874 = V121923 - 1. assign V869582 = V405503. assign V496723 = V021829. assign V854790 = V735124. assign V613115 = V293660 + 1. assign V467076 = V150701 + 1. assign V586104 = V235476 + 1. assign V528355 = V192664 + 1. assign V204261 = V405449 + 1. assign V877097 = V074797 + 1. assign V939187 = V074797 - 1. assign V688205 = V235476 - 1. assign V792384 = 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):\nV792384 = 9;\n\nFrom these direct assignment(s), we have: \nV779114 = V792384 = 9;\nNo other variables can be derived from V779114;\nNo other variables can be derived from V792384;\n\nNow we have done all the calculations. Derived variables are:\nV792384 = 9;\nV779114 = 9;\n\nNow we have finished this problem. ANSWER:\nV792384, V779114\n", "role": "assistant" } ]

[ "V376557" ]

[ { "content": "<context>\nassign V623114 = V855212 + 1. assign V229428 = V733681 - 1. assign V264047 = V892562 + 1. assign V859431 = V182010 + 1. assign V733681 = V334025. assign V469341 = V182010 + 1. assign V708817 = V746278. assign V939097 = V892562 + 1. assign V933197 = V400813. assign V043614 = V203148 + 1. assign V091980 = V184450. assign V829266 = V310384 + 1. assign V584720 = V963968. assign V346888 = V601075 + 1. assign V184450 = V733681. assign V538038 = V400813 - 1. assign V826679 = V937900 - 1. assign V855212 = V764570 - 1. assign V088909 = V264047 + 1. assign V334025 = V515276 - 1. assign V796710 = V826679 - 1. assign V344086 = V016991 + 1. assign V363555 = V316457 + 1. assign V224287 = V859431. assign V594696 = V440356 + 1. assign V252884 = V316457 - 1. assign V830380 = V088909 - 1. assign V403320 = V515276 - 1. assign V125552 = V334025 - 1. assign V600194 = V733681 - 1. assign V436276 = V334025. assign V203148 = V334025 + 1. assign V316457 = V538038. assign V913268 = V964286. assign V376998 = V830380 + 1. assign V896159 = V400813 + 1. assign V892562 = V353013 - 1. assign V444712 = V597354 - 1. assign V016991 = V892562 - 1. assign V598383 = V764570. assign V916123 = V313456 - 1. assign V127441 = V043614 + 1. assign V692898 = V334025 + 1. assign V879773 = V937900 + 1. assign V272137 = V346888 + 1. assign V182010 = V050841 - 1. assign V313456 = V353013 + 1. assign V646622 = V598383 + 1. assign V448010 = V538038 - 1. assign V083765 = V907453. assign V526195 = V091980 - 1. assign V120807 = V125552 - 1. assign V545939 = V316457 - 1. assign V250596 = V231282 + 1. assign V907453 = V318746 + 1. assign V514769 = V993758 - 1. assign V353013 = V597354. assign V310384 = V859431 - 1. assign V937900 = V203148. assign V403104 = V764570 + 1. assign V963968 = V933197. assign V538730 = V545939 - 1. assign V797869 = V310384. assign V231282 = V538038 - 1. assign V382797 = V203148 + 1. assign V601075 = V182010 - 1. assign V826582 = V376557 + 1. assign V400813 = V597354 - 1. assign V944202 = V692898. assign V818539 = V963968 - 1. assign V079995 = V203148 - 1. assign V376557 = 7. assign V621333 = V403320 + 1. assign V515276 = V597354. assign V440356 = V050841 - 1. assign V993758 = V403104 - 1. assign V746278 = V469341. assign V609235 = V916123 + 1. assign V318746 = V621333 - 1. assign V372142 = V203148 - 1. assign V406328 = V859431. assign V964286 = V091980. assign V852927 = V597354. assign V050841 = V597354. assign V982804 = V538038. assign V764570 = V597354 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V623114 = V855212 + 1. assign V229428 = V733681 - 1. assign V264047 = V892562 + 1. assign V859431 = V182010 + 1. assign V733681 = V334025. assign V469341 = V182010 + 1. assign V708817 = V746278. assign V939097 = V892562 + 1. assign V933197 = V400813. assign V043614 = V203148 + 1. assign V091980 = V184450. assign V829266 = V310384 + 1. assign V584720 = V963968. assign V346888 = V601075 + 1. assign V184450 = V733681. assign V538038 = V400813 - 1. assign V826679 = V937900 - 1. assign V855212 = V764570 - 1. assign V088909 = V264047 + 1. assign V334025 = V515276 - 1. assign V796710 = V826679 - 1. assign V344086 = V016991 + 1. assign V363555 = V316457 + 1. assign V224287 = V859431. assign V594696 = V440356 + 1. assign V252884 = V316457 - 1. assign V830380 = V088909 - 1. assign V403320 = V515276 - 1. assign V125552 = V334025 - 1. assign V600194 = V733681 - 1. assign V436276 = V334025. assign V203148 = V334025 + 1. assign V316457 = V538038. assign V913268 = V964286. assign V376998 = V830380 + 1. assign V896159 = V400813 + 1. assign V892562 = V353013 - 1. assign V444712 = V597354 - 1. assign V016991 = V892562 - 1. assign V598383 = V764570. assign V916123 = V313456 - 1. assign V127441 = V043614 + 1. assign V692898 = V334025 + 1. assign V879773 = V937900 + 1. assign V272137 = V346888 + 1. assign V182010 = V050841 - 1. assign V313456 = V353013 + 1. assign V646622 = V598383 + 1. assign V448010 = V538038 - 1. assign V083765 = V907453. assign V526195 = V091980 - 1. assign V120807 = V125552 - 1. assign V545939 = V316457 - 1. assign V250596 = V231282 + 1. assign V907453 = V318746 + 1. assign V514769 = V993758 - 1. assign V353013 = V597354. assign V310384 = V859431 - 1. assign V937900 = V203148. assign V403104 = V764570 + 1. assign V963968 = V933197. assign V538730 = V545939 - 1. assign V797869 = V310384. assign V231282 = V538038 - 1. assign V382797 = V203148 + 1. assign V601075 = V182010 - 1. assign V826582 = V376557 + 1. assign V400813 = V597354 - 1. assign V944202 = V692898. assign V818539 = V963968 - 1. assign V079995 = V203148 - 1. assign V376557 = 7. assign V621333 = V403320 + 1. assign V515276 = V597354. assign V440356 = V050841 - 1. assign V993758 = V403104 - 1. assign V746278 = V469341. assign V609235 = V916123 + 1. assign V318746 = V621333 - 1. assign V372142 = V203148 - 1. assign V406328 = V859431. assign V964286 = V091980. assign V852927 = V597354. assign V050841 = V597354. assign V982804 = V538038. assign V764570 = V597354 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV376557 = 7;\n\nFrom these direct assignment(s), we have: \nV826582 = V376557 + 1 = 7 + 1 =8;\nNo other variables can be derived from V826582;\nNo other variables can be derived from V376557;\n\nNow we have done all the calculations. Derived variables are:\nV376557 = 7;\nV826582 = 8;\n\nNow we have finished this problem. ANSWER:\nV376557\n", "role": "assistant" } ]

[ "V542221" ]

[ { "content": "<context>\nassign V874841 = V391419. assign V748382 = V003292. assign V643810 = V553968 + 1. assign V943600 = V168747. assign V738544 = V025014 - 1. assign V383650 = V073080 - 1. assign V528599 = V522940. assign V618140 = V632423 - 1. assign V283657 = V987118 + 1. assign V762510 = V558524 - 1. assign V271915 = V558524. assign V297162 = V618140 + 1. assign V061527 = V987118 - 1. assign V603590 = V820971 - 1. assign V161933 = V061527. assign V820971 = V283657. assign V181706 = V003292 + 1. assign V944289 = V522940 + 1. assign V252811 = V061527 - 1. assign V391419 = V454772 + 1. assign V668077 = V061527. assign V542221 = V973392 + 1. assign V685798 = V618140 + 1. assign V181121 = V330943 - 1. assign V262955 = V025014 + 1. assign V466815 = V027496. assign V484798 = V776579 - 1. assign V553968 = V560060 + 1. assign V185722 = V748382 + 1. assign V946859 = V618334 + 1. assign V778631 = V563469 + 1. assign V055543 = V025014. assign V039059 = V876968 + 1. assign V731733 = V003292 - 1. assign V558524 = V027496. assign V775000 = V685798. assign V202318 = V558524 - 1. assign V769639 = V776579 + 1. assign V830076 = V181706 - 1. assign V560060 = V788685 + 1. assign V396392 = V073080 + 1. assign V618334 = V748382. assign V776579 = V025014. assign V788685 = V330943 - 1. assign V073080 = V558524. assign V522940 = V748382. assign V686715 = V027496 - 1. assign V563469 = V252811 - 1. assign V948180 = V283657. assign V512954 = V946859 + 1. assign V448876 = V396392 + 1. assign V168747 = V697100 + 1. assign V330943 = V025014 + 1. assign V454772 = V383650. assign V443368 = V632423 - 1. assign V771701 = V801712. assign V973392 = 0. assign V801712 = V551423 - 1. assign V549471 = V697100 + 1. assign V443702 = V948180 - 1. assign V883226 = V551423 - 1. assign V987118 = V551423. assign V697100 = V987118 - 1. assign V601445 = V283657 - 1. assign V971580 = V883226 - 1. assign V603656 = V987118. assign V003292 = V551423. assign V865779 = V025014. assign V612846 = V396392 - 1. assign V025014 = V551423. assign V471732 = V549471 - 1. assign V394545 = V830076 - 1. assign V428979 = V876968. assign V116098 = V025014. assign V629644 = V454772 - 1. assign V903556 = V396392 - 1. assign V493600 = V820971 + 1. assign V632423 = V560060 + 1. assign V966306 = V788685 + 1. assign V208368 = V471732 - 1. assign V929170 = V769639 - 1. assign V565662 = V865779 - 1. assign V345476 = V394545 + 1. assign V027496 = V551423 + 1. assign V876968 = V391419. assign V623411 = V551423.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V874841 = V391419. assign V748382 = V003292. assign V643810 = V553968 + 1. assign V943600 = V168747. assign V738544 = V025014 - 1. assign V383650 = V073080 - 1. assign V528599 = V522940. assign V618140 = V632423 - 1. assign V283657 = V987118 + 1. assign V762510 = V558524 - 1. assign V271915 = V558524. assign V297162 = V618140 + 1. assign V061527 = V987118 - 1. assign V603590 = V820971 - 1. assign V161933 = V061527. assign V820971 = V283657. assign V181706 = V003292 + 1. assign V944289 = V522940 + 1. assign V252811 = V061527 - 1. assign V391419 = V454772 + 1. assign V668077 = V061527. assign V542221 = V973392 + 1. assign V685798 = V618140 + 1. assign V181121 = V330943 - 1. assign V262955 = V025014 + 1. assign V466815 = V027496. assign V484798 = V776579 - 1. assign V553968 = V560060 + 1. assign V185722 = V748382 + 1. assign V946859 = V618334 + 1. assign V778631 = V563469 + 1. assign V055543 = V025014. assign V039059 = V876968 + 1. assign V731733 = V003292 - 1. assign V558524 = V027496. assign V775000 = V685798. assign V202318 = V558524 - 1. assign V769639 = V776579 + 1. assign V830076 = V181706 - 1. assign V560060 = V788685 + 1. assign V396392 = V073080 + 1. assign V618334 = V748382. assign V776579 = V025014. assign V788685 = V330943 - 1. assign V073080 = V558524. assign V522940 = V748382. assign V686715 = V027496 - 1. assign V563469 = V252811 - 1. assign V948180 = V283657. assign V512954 = V946859 + 1. assign V448876 = V396392 + 1. assign V168747 = V697100 + 1. assign V330943 = V025014 + 1. assign V454772 = V383650. assign V443368 = V632423 - 1. assign V771701 = V801712. assign V973392 = 0. assign V801712 = V551423 - 1. assign V549471 = V697100 + 1. assign V443702 = V948180 - 1. assign V883226 = V551423 - 1. assign V987118 = V551423. assign V697100 = V987118 - 1. assign V601445 = V283657 - 1. assign V971580 = V883226 - 1. assign V603656 = V987118. assign V003292 = V551423. assign V865779 = V025014. assign V612846 = V396392 - 1. assign V025014 = V551423. assign V471732 = V549471 - 1. assign V394545 = V830076 - 1. assign V428979 = V876968. assign V116098 = V025014. assign V629644 = V454772 - 1. assign V903556 = V396392 - 1. assign V493600 = V820971 + 1. assign V632423 = V560060 + 1. assign V966306 = V788685 + 1. assign V208368 = V471732 - 1. assign V929170 = V769639 - 1. assign V565662 = V865779 - 1. assign V345476 = V394545 + 1. assign V027496 = V551423 + 1. assign V876968 = V391419. assign V623411 = V551423.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV973392 = 0;\n\nFrom these direct assignment(s), we have: \nV542221 = V973392 + 1 = 0 + 1 =1;\nNo other variables can be derived from V542221;\nNo other variables can be derived from V973392;\n\nNow we have done all the calculations. Derived variables are:\nV973392 = 0;\nV542221 = 1;\n\nNow we have finished this problem. ANSWER:\nV542221\n", "role": "assistant" } ]

[ "V397102" ]

[ { "content": "<context>\nassign V467949 = V205215. assign V816753 = V902702 - 1. assign V669587 = V363408 - 1. assign V190602 = V557214 + 1. assign V410152 = V132519. assign V147189 = V359823. assign V223554 = V359823 - 1. assign V922574 = V223554 + 1. assign V963580 = V223554 - 1. assign V054591 = V557214 + 1. assign V720301 = V831887 + 1. assign V781747 = V669587 + 1. assign V142393 = V849366. assign V585375 = V490274 + 1. assign V731064 = V650352 + 1. assign V750677 = V632380 + 1. assign V686954 = V082165. assign V285393 = V359823. assign V253883 = V585375. assign V727684 = V054591 + 1. assign V895507 = V584327 + 1. assign V650352 = V132519 - 1. assign V426239 = V902702 - 1. assign V859490 = V130988 + 1. assign V099311 = V831887 + 1. assign V783960 = V799530 + 1. assign V346077 = V799530. assign V068122 = V100930. assign V797193 = V359823 + 1. assign V100930 = V359823 + 1. assign V903535 = V570214 - 1. assign V066120 = V110749. assign V082165 = V359823 + 1. assign V769812 = V903535 - 1. assign V748057 = V359823. assign V557214 = V842621 + 1. assign V203865 = V963580. assign V902702 = V359823 + 1. assign V584327 = V099311 + 1. assign V751870 = V490274 + 1. assign V004171 = V132519. assign V227787 = V490274. assign V704588 = V650352. assign V716906 = V223554 - 1. assign V390736 = V178921 + 1. assign V016217 = V004171. assign V931748 = V130988 + 1. assign V504523 = V632684 - 1. assign V799530 = V359823 - 1. assign V310961 = V285393. assign V178921 = V130988 + 1. assign V490274 = V359823 + 1. assign V632684 = V799530. assign V489063 = V650352 - 1. assign V608156 = V922574 - 1. assign V431608 = V572085 + 1. assign V738614 = V632380 - 1. assign V489813 = V902702. assign V570214 = V632380. assign V849366 = V285393 - 1. assign V024607 = V082165. assign V363408 = V799530 - 1. assign V023642 = V302529. assign V283799 = V302529 + 1. assign V205215 = V082165 + 1. assign V381858 = V132519 - 1. assign V368946 = V142393 - 1. assign V678057 = V278719 - 1. assign V632380 = V100930 + 1. assign V278719 = V831887. assign V842621 = V147189 - 1. assign V926236 = V678057. assign V132519 = V922574. assign V130988 = V922574 + 1. assign V831887 = V223554 - 1. assign V512929 = V750677 + 1. assign V065989 = V223554 + 1. assign V572085 = V359823. assign V110749 = V902702 - 1. assign V302529 = V632684 - 1. assign V790630 = V016217 - 1. assign V429824 = V147189. assign V621150 = 3. assign V613283 = V054591 + 1. assign V397102 = V621150 + 1. assign V677794 = V797193.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V467949 = V205215. assign V816753 = V902702 - 1. assign V669587 = V363408 - 1. assign V190602 = V557214 + 1. assign V410152 = V132519. assign V147189 = V359823. assign V223554 = V359823 - 1. assign V922574 = V223554 + 1. assign V963580 = V223554 - 1. assign V054591 = V557214 + 1. assign V720301 = V831887 + 1. assign V781747 = V669587 + 1. assign V142393 = V849366. assign V585375 = V490274 + 1. assign V731064 = V650352 + 1. assign V750677 = V632380 + 1. assign V686954 = V082165. assign V285393 = V359823. assign V253883 = V585375. assign V727684 = V054591 + 1. assign V895507 = V584327 + 1. assign V650352 = V132519 - 1. assign V426239 = V902702 - 1. assign V859490 = V130988 + 1. assign V099311 = V831887 + 1. assign V783960 = V799530 + 1. assign V346077 = V799530. assign V068122 = V100930. assign V797193 = V359823 + 1. assign V100930 = V359823 + 1. assign V903535 = V570214 - 1. assign V066120 = V110749. assign V082165 = V359823 + 1. assign V769812 = V903535 - 1. assign V748057 = V359823. assign V557214 = V842621 + 1. assign V203865 = V963580. assign V902702 = V359823 + 1. assign V584327 = V099311 + 1. assign V751870 = V490274 + 1. assign V004171 = V132519. assign V227787 = V490274. assign V704588 = V650352. assign V716906 = V223554 - 1. assign V390736 = V178921 + 1. assign V016217 = V004171. assign V931748 = V130988 + 1. assign V504523 = V632684 - 1. assign V799530 = V359823 - 1. assign V310961 = V285393. assign V178921 = V130988 + 1. assign V490274 = V359823 + 1. assign V632684 = V799530. assign V489063 = V650352 - 1. assign V608156 = V922574 - 1. assign V431608 = V572085 + 1. assign V738614 = V632380 - 1. assign V489813 = V902702. assign V570214 = V632380. assign V849366 = V285393 - 1. assign V024607 = V082165. assign V363408 = V799530 - 1. assign V023642 = V302529. assign V283799 = V302529 + 1. assign V205215 = V082165 + 1. assign V381858 = V132519 - 1. assign V368946 = V142393 - 1. assign V678057 = V278719 - 1. assign V632380 = V100930 + 1. assign V278719 = V831887. assign V842621 = V147189 - 1. assign V926236 = V678057. assign V132519 = V922574. assign V130988 = V922574 + 1. assign V831887 = V223554 - 1. assign V512929 = V750677 + 1. assign V065989 = V223554 + 1. assign V572085 = V359823. assign V110749 = V902702 - 1. assign V302529 = V632684 - 1. assign V790630 = V016217 - 1. assign V429824 = V147189. assign V621150 = 3. assign V613283 = V054591 + 1. assign V397102 = V621150 + 1. assign V677794 = V797193.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV621150 = 3;\n\nFrom these direct assignment(s), we have: \nV397102 = V621150 + 1 = 3 + 1 =4;\nNo other variables can be derived from V397102;\nNo other variables can be derived from V621150;\n\nNow we have done all the calculations. Derived variables are:\nV621150 = 3;\nV397102 = 4;\n\nNow we have finished this problem. ANSWER:\nV397102\n", "role": "assistant" } ]

[ "V508064" ]

[ { "content": "<context>\nassign V575236 = V314115 + 1. assign V012486 = V500036 + 1. assign V480775 = V254829. assign V128071 = V036193. assign V500036 = V859200 - 1. assign V235362 = V367112 - 1. assign V945213 = V894880 + 1. assign V136834 = V678843 - 1. assign V167723 = V800591. assign V866740 = V758207 - 1. assign V503540 = V778598 + 1. assign V229330 = V672813 + 1. assign V855027 = V488393. assign V919333 = V293906. assign V099055 = V562205 + 1. assign V376858 = V945213 + 1. assign V049112 = V800591 + 1. assign V950267 = V678843 + 1. assign V642932 = V855027. assign V619031 = V808276 - 1. assign V036193 = V859200. assign V295223 = V855792 - 1. assign V285440 = V252839. assign V046287 = V859200 - 1. assign V188121 = V894880 + 1. assign V857682 = V286211. assign V859200 = V653017. assign V232877 = V672813. assign V852424 = V613909 - 1. assign V887389 = V341746 + 1. assign V339527 = V295223 + 1. assign V758207 = V672813 - 1. assign V591807 = V136887 - 1. assign V712884 = V286211. assign V416904 = V530730 + 1. assign V508064 = V984112 - 1. assign V562205 = V945213 + 1. assign V770962 = V855027 - 1. assign V488393 = V678843 - 1. assign V293906 = V488393 + 1. assign V855792 = V859200 - 1. assign V341746 = V229330 + 1. assign V984112 = 5. assign V613909 = V046287. assign V817175 = V136834 + 1. assign V778598 = V894880. assign V117874 = V036193 + 1. assign V343008 = V672813. assign V254829 = V817175 - 1. assign V012990 = V254829 + 1. assign V456209 = V989050 - 1. assign V235752 = V619031. assign V380454 = V530730 + 1. assign V132610 = V808276 - 1. assign V979900 = V855027 - 1. assign V881528 = V188121 + 1. assign V735637 = V462518. assign V093676 = V036193 + 1. assign V567630 = V136834 + 1. assign V193861 = V480775. assign V530730 = V188121 + 1. assign V484788 = V416904 - 1. assign V808276 = V859200 - 1. assign V182222 = V954837 + 1. assign V653017 = V678843 + 1. assign V595640 = V488393 + 1. assign V524755 = V642932 + 1. assign V954837 = V416904 - 1. assign V657231 = V672813 + 1. assign V800591 = V314115 - 1. assign V989050 = V653017 + 1. assign V594405 = V855792. assign V136887 = V817175 + 1. assign V407538 = V488393 + 1. assign V314115 = V613909 + 1. assign V672813 = V036193 - 1. assign V532950 = V314115 - 1. assign V462518 = V049112. assign V942128 = V136834. assign V367112 = V758207. assign V894880 = V989050 - 1. assign V252839 = V770962 + 1. assign V780914 = V407538 + 1. assign V286211 = V817175 + 1. assign V031969 = V488393 + 1. assign V450453 = V619031 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V575236 = V314115 + 1. assign V012486 = V500036 + 1. assign V480775 = V254829. assign V128071 = V036193. assign V500036 = V859200 - 1. assign V235362 = V367112 - 1. assign V945213 = V894880 + 1. assign V136834 = V678843 - 1. assign V167723 = V800591. assign V866740 = V758207 - 1. assign V503540 = V778598 + 1. assign V229330 = V672813 + 1. assign V855027 = V488393. assign V919333 = V293906. assign V099055 = V562205 + 1. assign V376858 = V945213 + 1. assign V049112 = V800591 + 1. assign V950267 = V678843 + 1. assign V642932 = V855027. assign V619031 = V808276 - 1. assign V036193 = V859200. assign V295223 = V855792 - 1. assign V285440 = V252839. assign V046287 = V859200 - 1. assign V188121 = V894880 + 1. assign V857682 = V286211. assign V859200 = V653017. assign V232877 = V672813. assign V852424 = V613909 - 1. assign V887389 = V341746 + 1. assign V339527 = V295223 + 1. assign V758207 = V672813 - 1. assign V591807 = V136887 - 1. assign V712884 = V286211. assign V416904 = V530730 + 1. assign V508064 = V984112 - 1. assign V562205 = V945213 + 1. assign V770962 = V855027 - 1. assign V488393 = V678843 - 1. assign V293906 = V488393 + 1. assign V855792 = V859200 - 1. assign V341746 = V229330 + 1. assign V984112 = 5. assign V613909 = V046287. assign V817175 = V136834 + 1. assign V778598 = V894880. assign V117874 = V036193 + 1. assign V343008 = V672813. assign V254829 = V817175 - 1. assign V012990 = V254829 + 1. assign V456209 = V989050 - 1. assign V235752 = V619031. assign V380454 = V530730 + 1. assign V132610 = V808276 - 1. assign V979900 = V855027 - 1. assign V881528 = V188121 + 1. assign V735637 = V462518. assign V093676 = V036193 + 1. assign V567630 = V136834 + 1. assign V193861 = V480775. assign V530730 = V188121 + 1. assign V484788 = V416904 - 1. assign V808276 = V859200 - 1. assign V182222 = V954837 + 1. assign V653017 = V678843 + 1. assign V595640 = V488393 + 1. assign V524755 = V642932 + 1. assign V954837 = V416904 - 1. assign V657231 = V672813 + 1. assign V800591 = V314115 - 1. assign V989050 = V653017 + 1. assign V594405 = V855792. assign V136887 = V817175 + 1. assign V407538 = V488393 + 1. assign V314115 = V613909 + 1. assign V672813 = V036193 - 1. assign V532950 = V314115 - 1. assign V462518 = V049112. assign V942128 = V136834. assign V367112 = V758207. assign V894880 = V989050 - 1. assign V252839 = V770962 + 1. assign V780914 = V407538 + 1. assign V286211 = V817175 + 1. assign V031969 = V488393 + 1. assign V450453 = V619031 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV984112 = 5;\n\nFrom these direct assignment(s), we have: \nV508064 = V984112 - 1 = 5 - 1 =4;\nNo other variables can be derived from V508064;\nNo other variables can be derived from V984112;\n\nNow we have done all the calculations. Derived variables are:\nV984112 = 5;\nV508064 = 4;\n\nNow we have finished this problem. ANSWER:\nV508064\n", "role": "assistant" } ]

[ "V154767", "V163542" ]

[ { "content": "<context>\nassign V014703 = V139792. assign V043107 = V254711 + 1. assign V545840 = V962352 - 1. assign V443383 = V985608 + 1. assign V876446 = V625210. assign V485741 = V915154 - 1. assign V333969 = V046062 + 1. assign V638541 = V962352 - 1. assign V248011 = V638541. assign V761286 = V721304 + 1. assign V046062 = V256573. assign V093608 = V557493 + 1. assign V262028 = V258420. assign V898298 = V258420 + 1. assign V774693 = V014703 + 1. assign V582687 = V404131 + 1. assign V916651 = V623658 - 1. assign V621209 = V256573. assign V013729 = V511646 - 1. assign V105065 = V446175 - 1. assign V195207 = V043107. assign V915154 = V014703. assign V066617 = V333969. assign V037766 = V043107. assign V808458 = V046062 - 1. assign V006220 = V576338 - 1. assign V304590 = V348016 + 1. assign V519546 = V511646. assign V307360 = V323213. assign V958061 = V718068 - 1. assign V446175 = V046062. assign V804369 = V519546 - 1. assign V773163 = V808458 - 1. assign V576743 = V886225. assign V718068 = V254711 - 1. assign V154767 = 1. assign V216883 = V323213 + 1. assign V693560 = V014703 + 1. assign V679514 = V886225 - 1. assign V623658 = V705874 - 1. assign V009917 = V258420 - 1. assign V985608 = V721304 - 1. assign V557493 = V014182. assign V101565 = V679514. assign V258420 = V256573. assign V721304 = V962352 - 1. assign V017364 = V718068 + 1. assign V172011 = V323213 - 1. assign V163542 = V154767. assign V172709 = V576743. assign V893991 = V333969. assign V053995 = V705874 + 1. assign V404131 = V256573 + 1. assign V886225 = V046062 + 1. assign V003636 = V043107 - 1. assign V412087 = V500836 - 1. assign V059392 = V046062. assign V488243 = V017364 + 1. assign V625210 = V721304. assign V600309 = V014703 - 1. assign V576338 = V545840. assign V629489 = V545840. assign V389393 = V488243 - 1. assign V705874 = V886225 + 1. assign V905530 = V985608 + 1. assign V738408 = V098455 + 1. assign V395757 = V962352 + 1. assign V348016 = V545840 - 1. assign V204006 = V395757. assign V254711 = V256573 + 1. assign V962352 = V333969 + 1. assign V443538 = V105065. assign V815809 = V826187 + 1. assign V098455 = V256573 + 1. assign V826187 = V216883 - 1. assign V511646 = V808458 + 1. assign V812094 = V014182 - 1. assign V500836 = V875641 - 1. assign V875641 = V836353 + 1. assign V139792 = V059392 + 1. assign V836353 = V258420. assign V947586 = V576338. assign V994424 = V059392. assign V323213 = V886225 - 1. assign V561979 = V059392 + 1. assign V014182 = V395757.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V014703 = V139792. assign V043107 = V254711 + 1. assign V545840 = V962352 - 1. assign V443383 = V985608 + 1. assign V876446 = V625210. assign V485741 = V915154 - 1. assign V333969 = V046062 + 1. assign V638541 = V962352 - 1. assign V248011 = V638541. assign V761286 = V721304 + 1. assign V046062 = V256573. assign V093608 = V557493 + 1. assign V262028 = V258420. assign V898298 = V258420 + 1. assign V774693 = V014703 + 1. assign V582687 = V404131 + 1. assign V916651 = V623658 - 1. assign V621209 = V256573. assign V013729 = V511646 - 1. assign V105065 = V446175 - 1. assign V195207 = V043107. assign V915154 = V014703. assign V066617 = V333969. assign V037766 = V043107. assign V808458 = V046062 - 1. assign V006220 = V576338 - 1. assign V304590 = V348016 + 1. assign V519546 = V511646. assign V307360 = V323213. assign V958061 = V718068 - 1. assign V446175 = V046062. assign V804369 = V519546 - 1. assign V773163 = V808458 - 1. assign V576743 = V886225. assign V718068 = V254711 - 1. assign V154767 = 1. assign V216883 = V323213 + 1. assign V693560 = V014703 + 1. assign V679514 = V886225 - 1. assign V623658 = V705874 - 1. assign V009917 = V258420 - 1. assign V985608 = V721304 - 1. assign V557493 = V014182. assign V101565 = V679514. assign V258420 = V256573. assign V721304 = V962352 - 1. assign V017364 = V718068 + 1. assign V172011 = V323213 - 1. assign V163542 = V154767. assign V172709 = V576743. assign V893991 = V333969. assign V053995 = V705874 + 1. assign V404131 = V256573 + 1. assign V886225 = V046062 + 1. assign V003636 = V043107 - 1. assign V412087 = V500836 - 1. assign V059392 = V046062. assign V488243 = V017364 + 1. assign V625210 = V721304. assign V600309 = V014703 - 1. assign V576338 = V545840. assign V629489 = V545840. assign V389393 = V488243 - 1. assign V705874 = V886225 + 1. assign V905530 = V985608 + 1. assign V738408 = V098455 + 1. assign V395757 = V962352 + 1. assign V348016 = V545840 - 1. assign V204006 = V395757. assign V254711 = V256573 + 1. assign V962352 = V333969 + 1. assign V443538 = V105065. assign V815809 = V826187 + 1. assign V098455 = V256573 + 1. assign V826187 = V216883 - 1. assign V511646 = V808458 + 1. assign V812094 = V014182 - 1. assign V500836 = V875641 - 1. assign V875641 = V836353 + 1. assign V139792 = V059392 + 1. assign V836353 = V258420. assign V947586 = V576338. assign V994424 = V059392. assign V323213 = V886225 - 1. assign V561979 = V059392 + 1. assign V014182 = V395757.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV154767 = 1;\n\nFrom these direct assignment(s), we have: \nV163542 = V154767 = 1;\nNo other variables can be derived from V163542;\nNo other variables can be derived from V154767;\n\nNow we have done all the calculations. Derived variables are:\nV154767 = 1;\nV163542 = 1;\n\nNow we have finished this problem. ANSWER:\nV154767, V163542\n", "role": "assistant" } ]

[ "V444664" ]

[ { "content": "<context>\nassign V522003 = V644407. assign V134169 = V113487 - 1. assign V350855 = V411363 - 1. assign V713335 = V762455. assign V636155 = V115870 - 1. assign V999286 = V653133 - 1. assign V961843 = V636155 + 1. assign V653133 = V419459. assign V823918 = V870107 + 1. assign V854367 = V204747 + 1. assign V870107 = V411363. assign V546378 = V145833. assign V646195 = V644407. assign V439100 = V083665 + 1. assign V466185 = V986190. assign V108039 = V997066 + 1. assign V837792 = V022420. assign V740270 = V419459. assign V015808 = V960814. assign V048041 = V854367. assign V297271 = V176591 - 1. assign V563921 = V737162 + 1. assign V411363 = V419459 + 1. assign V928385 = V999286. assign V552537 = V653133 + 1. assign V023526 = V565307 - 1. assign V701578 = V870107 + 1. assign V444664 = V208526 - 1. assign V295253 = V715025. assign V119293 = V022420. assign V644407 = V419459. assign V043945 = V636155 - 1. assign V419459 = V176591 + 1. assign V797587 = V997066 + 1. assign V248383 = V419459 - 1. assign V573545 = V737162 + 1. assign V960814 = V713335 + 1. assign V113487 = V411363 + 1. assign V565307 = V866980 - 1. assign V022420 = V400403 - 1. assign V765676 = V715025 - 1. assign V063175 = V713335 + 1. assign V998421 = V502255. assign V792720 = V442358 + 1. assign V589752 = V627337. assign V290875 = V273782 + 1. assign V101155 = V589752. assign V048942 = V970773 - 1. assign V975719 = V331544 + 1. assign V706521 = V589752 - 1. assign V627337 = V823918 - 1. assign V458933 = V715025 + 1. assign V204747 = V870107 - 1. assign V750599 = V083665 - 1. assign V970773 = V411363 + 1. assign V115870 = V400403. assign V164864 = V866980. assign V502255 = V866980 - 1. assign V735818 = V765676 + 1. assign V273782 = V284513 + 1. assign V267639 = V737162. assign V492011 = V494145 - 1. assign V685130 = V442358 + 1. assign V208526 = 0. assign V353497 = V653133 - 1. assign V675005 = V419459 + 1. assign V737162 = V248383. assign V805214 = V706521 + 1. assign V866980 = V248383. assign V331544 = V419459. assign V400403 = V419459. assign V442358 = V297271. assign V192848 = V945073. assign V986190 = V737162 + 1. assign V083665 = V644407 + 1. assign V352072 = V284513 - 1. assign V997066 = V870107 + 1. assign V494145 = V083665. assign V762455 = V411363 - 1. assign V945073 = V552537 - 1. assign V145833 = V176591. assign V925642 = V750599 - 1. assign V176591 = V284513 + 1. assign V715025 = V083665 - 1. assign V312308 = V565307 - 1. assign V859334 = V627337.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V522003 = V644407. assign V134169 = V113487 - 1. assign V350855 = V411363 - 1. assign V713335 = V762455. assign V636155 = V115870 - 1. assign V999286 = V653133 - 1. assign V961843 = V636155 + 1. assign V653133 = V419459. assign V823918 = V870107 + 1. assign V854367 = V204747 + 1. assign V870107 = V411363. assign V546378 = V145833. assign V646195 = V644407. assign V439100 = V083665 + 1. assign V466185 = V986190. assign V108039 = V997066 + 1. assign V837792 = V022420. assign V740270 = V419459. assign V015808 = V960814. assign V048041 = V854367. assign V297271 = V176591 - 1. assign V563921 = V737162 + 1. assign V411363 = V419459 + 1. assign V928385 = V999286. assign V552537 = V653133 + 1. assign V023526 = V565307 - 1. assign V701578 = V870107 + 1. assign V444664 = V208526 - 1. assign V295253 = V715025. assign V119293 = V022420. assign V644407 = V419459. assign V043945 = V636155 - 1. assign V419459 = V176591 + 1. assign V797587 = V997066 + 1. assign V248383 = V419459 - 1. assign V573545 = V737162 + 1. assign V960814 = V713335 + 1. assign V113487 = V411363 + 1. assign V565307 = V866980 - 1. assign V022420 = V400403 - 1. assign V765676 = V715025 - 1. assign V063175 = V713335 + 1. assign V998421 = V502255. assign V792720 = V442358 + 1. assign V589752 = V627337. assign V290875 = V273782 + 1. assign V101155 = V589752. assign V048942 = V970773 - 1. assign V975719 = V331544 + 1. assign V706521 = V589752 - 1. assign V627337 = V823918 - 1. assign V458933 = V715025 + 1. assign V204747 = V870107 - 1. assign V750599 = V083665 - 1. assign V970773 = V411363 + 1. assign V115870 = V400403. assign V164864 = V866980. assign V502255 = V866980 - 1. assign V735818 = V765676 + 1. assign V273782 = V284513 + 1. assign V267639 = V737162. assign V492011 = V494145 - 1. assign V685130 = V442358 + 1. assign V208526 = 0. assign V353497 = V653133 - 1. assign V675005 = V419459 + 1. assign V737162 = V248383. assign V805214 = V706521 + 1. assign V866980 = V248383. assign V331544 = V419459. assign V400403 = V419459. assign V442358 = V297271. assign V192848 = V945073. assign V986190 = V737162 + 1. assign V083665 = V644407 + 1. assign V352072 = V284513 - 1. assign V997066 = V870107 + 1. assign V494145 = V083665. assign V762455 = V411363 - 1. assign V945073 = V552537 - 1. assign V145833 = V176591. assign V925642 = V750599 - 1. assign V176591 = V284513 + 1. assign V715025 = V083665 - 1. assign V312308 = V565307 - 1. assign V859334 = V627337.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV208526 = 0;\n\nFrom these direct assignment(s), we have: \nV444664 = V208526 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V444664;\nNo other variables can be derived from V208526;\n\nNow we have done all the calculations. Derived variables are:\nV208526 = 0;\nV444664 = -1;\n\nNow we have finished this problem. ANSWER:\nV444664\n", "role": "assistant" } ]

[ "V221531", "V664016" ]

[ { "content": "<context>\nassign V100591 = V995140 - 1. assign V306987 = V584591. assign V921847 = V026534. assign V560326 = V900895. assign V995140 = V339444 + 1. assign V752268 = V129057 - 1. assign V106213 = V306987 + 1. assign V760211 = V225183 - 1. assign V026534 = V084904 - 1. assign V598798 = V753146. assign V961320 = V026534. assign V664016 = V221531. assign V120716 = V891856 - 1. assign V244416 = V306987. assign V319195 = V913053 - 1. assign V984017 = V026534. assign V079998 = V517750 - 1. assign V175683 = V584591 - 1. assign V667476 = V319195 + 1. assign V221531 = 0. assign V865744 = V763941 - 1. assign V763941 = V891856. assign V555488 = V977781 + 1. assign V904380 = V026534. assign V136618 = V297463. assign V458296 = V084904 + 1. assign V328357 = V318303 - 1. assign V973602 = V458296. assign V250517 = V973602 - 1. assign V476731 = V061942. assign V003456 = V284322. assign V913200 = V904380. assign V171588 = V611998. assign V307861 = V152131 + 1. assign V061942 = V297463 - 1. assign V239243 = V332440. assign V118749 = V712374 + 1. assign V522817 = V818192. assign V596841 = V339444 - 1. assign V952763 = V476731. assign V152131 = V753146. assign V725471 = V674034 + 1. assign V572024 = V961320 + 1. assign V045254 = V216697. assign V455629 = V818192 - 1. assign V611998 = V284322. assign V891856 = V284322. assign V818192 = V084904 - 1. assign V913053 = V818192 + 1. assign V233440 = V783088. assign V516121 = V783088 - 1. assign V774178 = V995140 - 1. assign V567890 = V284322 + 1. assign V977781 = V763941 - 1. assign V332440 = V961088 - 1. assign V385244 = V045254 - 1. assign V318303 = V913200 - 1. assign V129057 = V572024 - 1. assign V517750 = V753146. assign V712374 = V783088 - 1. assign V286562 = V045254 - 1. assign V463030 = V152131 + 1. assign V783088 = V284322 + 1. assign V317994 = V584591 + 1. assign V297463 = V026534. assign V225183 = V100591 - 1. assign V584591 = V061942. assign V979406 = V952763 - 1. assign V680624 = V753146 + 1. assign V114900 = V913053 + 1. assign V900895 = V463030 - 1. assign V394723 = V818192 - 1. assign V753146 = V061942 - 1. assign V030115 = V973602 + 1. assign V961088 = V977781 + 1. assign V650936 = V216697. assign V162439 = V120716 - 1. assign V981391 = V216697. assign V077675 = V891856. assign V643959 = V162439. assign V284322 = V458296 + 1. assign V674034 = V297463 - 1. assign V216697 = V973602. assign V339444 = V026534. assign V606498 = V567890 - 1. assign V847253 = V865744 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V100591 = V995140 - 1. assign V306987 = V584591. assign V921847 = V026534. assign V560326 = V900895. assign V995140 = V339444 + 1. assign V752268 = V129057 - 1. assign V106213 = V306987 + 1. assign V760211 = V225183 - 1. assign V026534 = V084904 - 1. assign V598798 = V753146. assign V961320 = V026534. assign V664016 = V221531. assign V120716 = V891856 - 1. assign V244416 = V306987. assign V319195 = V913053 - 1. assign V984017 = V026534. assign V079998 = V517750 - 1. assign V175683 = V584591 - 1. assign V667476 = V319195 + 1. assign V221531 = 0. assign V865744 = V763941 - 1. assign V763941 = V891856. assign V555488 = V977781 + 1. assign V904380 = V026534. assign V136618 = V297463. assign V458296 = V084904 + 1. assign V328357 = V318303 - 1. assign V973602 = V458296. assign V250517 = V973602 - 1. assign V476731 = V061942. assign V003456 = V284322. assign V913200 = V904380. assign V171588 = V611998. assign V307861 = V152131 + 1. assign V061942 = V297463 - 1. assign V239243 = V332440. assign V118749 = V712374 + 1. assign V522817 = V818192. assign V596841 = V339444 - 1. assign V952763 = V476731. assign V152131 = V753146. assign V725471 = V674034 + 1. assign V572024 = V961320 + 1. assign V045254 = V216697. assign V455629 = V818192 - 1. assign V611998 = V284322. assign V891856 = V284322. assign V818192 = V084904 - 1. assign V913053 = V818192 + 1. assign V233440 = V783088. assign V516121 = V783088 - 1. assign V774178 = V995140 - 1. assign V567890 = V284322 + 1. assign V977781 = V763941 - 1. assign V332440 = V961088 - 1. assign V385244 = V045254 - 1. assign V318303 = V913200 - 1. assign V129057 = V572024 - 1. assign V517750 = V753146. assign V712374 = V783088 - 1. assign V286562 = V045254 - 1. assign V463030 = V152131 + 1. assign V783088 = V284322 + 1. assign V317994 = V584591 + 1. assign V297463 = V026534. assign V225183 = V100591 - 1. assign V584591 = V061942. assign V979406 = V952763 - 1. assign V680624 = V753146 + 1. assign V114900 = V913053 + 1. assign V900895 = V463030 - 1. assign V394723 = V818192 - 1. assign V753146 = V061942 - 1. assign V030115 = V973602 + 1. assign V961088 = V977781 + 1. assign V650936 = V216697. assign V162439 = V120716 - 1. assign V981391 = V216697. assign V077675 = V891856. assign V643959 = V162439. assign V284322 = V458296 + 1. assign V674034 = V297463 - 1. assign V216697 = V973602. assign V339444 = V026534. assign V606498 = V567890 - 1. assign V847253 = V865744 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV221531 = 0;\n\nFrom these direct assignment(s), we have: \nV664016 = V221531 = 0;\nNo other variables can be derived from V664016;\nNo other variables can be derived from V221531;\n\nNow we have done all the calculations. Derived variables are:\nV221531 = 0;\nV664016 = 0;\n\nNow we have finished this problem. ANSWER:\nV221531, V664016\n", "role": "assistant" } ]

[ "V663373" ]

[ { "content": "<context>\nassign V883192 = V472304 + 1. assign V773002 = V310386 + 1. assign V472304 = V556424 - 1. assign V260549 = V556424 + 1. assign V124837 = V293047 + 1. assign V949915 = V479456. assign V680048 = V575621. assign V293047 = V908595. assign V296019 = V250968 + 1. assign V497881 = V942909. assign V187074 = V479456 + 1. assign V139194 = V849906 - 1. assign V807834 = V849906. assign V634495 = V479456 - 1. assign V498750 = V157476. assign V893893 = V296019. assign V593991 = V134231 - 1. assign V941004 = V232161. assign V508028 = V134231 + 1. assign V017415 = V294775. assign V818628 = V949915. assign V499242 = V479456 + 1. assign V071543 = V310386 - 1. assign V131720 = V665510 + 1. assign V908595 = V714750 - 1. assign V462457 = V941004 - 1. assign V234166 = V323945 + 1. assign V088850 = V224729 - 1. assign V403804 = V908595 + 1. assign V310386 = V499242 - 1. assign V792327 = V949915 + 1. assign V873278 = V260549. assign V559087 = V119905 + 1. assign V459640 = V187074. assign V610001 = V293047. assign V714750 = V205903 + 1. assign V730725 = V124837 - 1. assign V205903 = V139194. assign V663373 = 6. assign V119905 = V902663. assign V233167 = V663373 + 1. assign V342208 = V472304. assign V295532 = V479456. assign V224729 = V187074. assign V957984 = V575621 - 1. assign V556424 = V843786 + 1. assign V798468 = V843786 - 1. assign V963418 = V017415 + 1. assign V015265 = V187074 + 1. assign V779842 = V902663 - 1. assign V734140 = V205903. assign V504452 = V124837 + 1. assign V849906 = V187074. assign V386912 = V665510. assign V073205 = V252580 - 1. assign V686337 = V908595 + 1. assign V380539 = V902663 - 1. assign V425053 = V779842. assign V252580 = V187074 - 1. assign V843786 = V234166. assign V790467 = V403804. assign V154333 = V849906 - 1. assign V323945 = V459640 - 1. assign V467252 = V323945. assign V922812 = V504452 + 1. assign V554648 = V295532 + 1. assign V200303 = V479456. assign V482532 = V734140. assign V902663 = V849906 - 1. assign V799993 = V124837. assign V891062 = V883192. assign V157476 = V124837 + 1. assign V475646 = V714750. assign V942909 = V849906 - 1. assign V677779 = V234166 - 1. assign V139763 = V556424 - 1. assign V575621 = V734140. assign V294775 = V714750 - 1. assign V972245 = V459640. assign V865070 = V734140. assign V134231 = V972245 + 1. assign V270312 = V015265 - 1. assign V250968 = V205903 + 1. assign V232161 = V849906 + 1. assign V665510 = V475646 - 1. assign V562463 = V807834.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V883192 = V472304 + 1. assign V773002 = V310386 + 1. assign V472304 = V556424 - 1. assign V260549 = V556424 + 1. assign V124837 = V293047 + 1. assign V949915 = V479456. assign V680048 = V575621. assign V293047 = V908595. assign V296019 = V250968 + 1. assign V497881 = V942909. assign V187074 = V479456 + 1. assign V139194 = V849906 - 1. assign V807834 = V849906. assign V634495 = V479456 - 1. assign V498750 = V157476. assign V893893 = V296019. assign V593991 = V134231 - 1. assign V941004 = V232161. assign V508028 = V134231 + 1. assign V017415 = V294775. assign V818628 = V949915. assign V499242 = V479456 + 1. assign V071543 = V310386 - 1. assign V131720 = V665510 + 1. assign V908595 = V714750 - 1. assign V462457 = V941004 - 1. assign V234166 = V323945 + 1. assign V088850 = V224729 - 1. assign V403804 = V908595 + 1. assign V310386 = V499242 - 1. assign V792327 = V949915 + 1. assign V873278 = V260549. assign V559087 = V119905 + 1. assign V459640 = V187074. assign V610001 = V293047. assign V714750 = V205903 + 1. assign V730725 = V124837 - 1. assign V205903 = V139194. assign V663373 = 6. assign V119905 = V902663. assign V233167 = V663373 + 1. assign V342208 = V472304. assign V295532 = V479456. assign V224729 = V187074. assign V957984 = V575621 - 1. assign V556424 = V843786 + 1. assign V798468 = V843786 - 1. assign V963418 = V017415 + 1. assign V015265 = V187074 + 1. assign V779842 = V902663 - 1. assign V734140 = V205903. assign V504452 = V124837 + 1. assign V849906 = V187074. assign V386912 = V665510. assign V073205 = V252580 - 1. assign V686337 = V908595 + 1. assign V380539 = V902663 - 1. assign V425053 = V779842. assign V252580 = V187074 - 1. assign V843786 = V234166. assign V790467 = V403804. assign V154333 = V849906 - 1. assign V323945 = V459640 - 1. assign V467252 = V323945. assign V922812 = V504452 + 1. assign V554648 = V295532 + 1. assign V200303 = V479456. assign V482532 = V734140. assign V902663 = V849906 - 1. assign V799993 = V124837. assign V891062 = V883192. assign V157476 = V124837 + 1. assign V475646 = V714750. assign V942909 = V849906 - 1. assign V677779 = V234166 - 1. assign V139763 = V556424 - 1. assign V575621 = V734140. assign V294775 = V714750 - 1. assign V972245 = V459640. assign V865070 = V734140. assign V134231 = V972245 + 1. assign V270312 = V015265 - 1. assign V250968 = V205903 + 1. assign V232161 = V849906 + 1. assign V665510 = V475646 - 1. assign V562463 = V807834.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV663373 = 6;\n\nFrom these direct assignment(s), we have: \nV233167 = V663373 + 1 = 6 + 1 =7;\nNo other variables can be derived from V233167;\nNo other variables can be derived from V663373;\n\nNow we have done all the calculations. Derived variables are:\nV663373 = 6;\nV233167 = 7;\n\nNow we have finished this problem. ANSWER:\nV663373\n", "role": "assistant" } ]

[ "V098598", "V718612" ]

[ { "content": "<context>\nassign V689608 = V320302 + 1. assign V827773 = V498767 + 1. assign V218060 = V551298. assign V512476 = V532415 - 1. assign V960040 = V575535 - 1. assign V564772 = V160659 - 1. assign V276543 = V827773. assign V297389 = V167787 - 1. assign V569106 = V036310. assign V705424 = V462914. assign V189892 = V532415. assign V815427 = V320302 - 1. assign V957824 = V462914 - 1. assign V273200 = V168001 - 1. assign V943567 = V498767 + 1. assign V576427 = V503363 - 1. assign V160659 = V717621. assign V503363 = V815427. assign V023965 = V705424 - 1. assign V118768 = V103190 - 1. assign V556728 = V118768 - 1. assign V964277 = V741168 + 1. assign V301548 = V320302 - 1. assign V422389 = V443781. assign V659293 = V950924 + 1. assign V880948 = V689608 + 1. assign V042184 = V741168 + 1. assign V100247 = V943567 - 1. assign V840374 = V301548 - 1. assign V851224 = V448524 + 1. assign V448524 = V968809 + 1. assign V575535 = V889243 - 1. assign V530198 = V503363 + 1. assign V040830 = V964277 + 1. assign V816303 = V741168 - 1. assign V498767 = V320302. assign V103190 = V462914 - 1. assign V462914 = V320302. assign V098598 = 1. assign V737481 = V246302 + 1. assign V036310 = V717621 + 1. assign V938277 = V943567 - 1. assign V697052 = V569574 - 1. assign V976937 = V273200 + 1. assign V950924 = V741168 - 1. assign V524186 = V880948. assign V167787 = V273200. assign V695834 = V134853. assign V134853 = V103547 - 1. assign V139790 = V717621 + 1. assign V909236 = V387486. assign V642009 = V717621 + 1. assign V459496 = V448524 - 1. assign V103547 = V443781. assign V933219 = V575535. assign V054574 = V659293. assign V301180 = V160659. assign V749179 = V167787. assign V626343 = V462914 - 1. assign V417950 = V462914 - 1. assign V827219 = V036310 + 1. assign V387486 = V626343. assign V387698 = V530198 - 1. assign V360116 = V320302 + 1. assign V583566 = V167787. assign V718612 = V098598. assign V532415 = V301548 + 1. assign V855739 = V816303 + 1. assign V628359 = V855739 - 1. assign V551298 = V659293. assign V168001 = V705424 + 1. assign V989121 = V689608 + 1. assign V741168 = V626343 - 1. assign V634262 = V301548 - 1. assign V968809 = V741168 - 1. assign V252743 = V530198. assign V058837 = V960040 + 1. assign V246302 = V103547. assign V717621 = V626343. assign V443781 = V168001 - 1. assign V964730 = V960040 - 1. assign V635578 = V551298. assign V320302 = V889243 - 1. assign V366373 = V320302 + 1. assign V569574 = V855739 + 1. assign V497687 = V100247.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V689608 = V320302 + 1. assign V827773 = V498767 + 1. assign V218060 = V551298. assign V512476 = V532415 - 1. assign V960040 = V575535 - 1. assign V564772 = V160659 - 1. assign V276543 = V827773. assign V297389 = V167787 - 1. assign V569106 = V036310. assign V705424 = V462914. assign V189892 = V532415. assign V815427 = V320302 - 1. assign V957824 = V462914 - 1. assign V273200 = V168001 - 1. assign V943567 = V498767 + 1. assign V576427 = V503363 - 1. assign V160659 = V717621. assign V503363 = V815427. assign V023965 = V705424 - 1. assign V118768 = V103190 - 1. assign V556728 = V118768 - 1. assign V964277 = V741168 + 1. assign V301548 = V320302 - 1. assign V422389 = V443781. assign V659293 = V950924 + 1. assign V880948 = V689608 + 1. assign V042184 = V741168 + 1. assign V100247 = V943567 - 1. assign V840374 = V301548 - 1. assign V851224 = V448524 + 1. assign V448524 = V968809 + 1. assign V575535 = V889243 - 1. assign V530198 = V503363 + 1. assign V040830 = V964277 + 1. assign V816303 = V741168 - 1. assign V498767 = V320302. assign V103190 = V462914 - 1. assign V462914 = V320302. assign V098598 = 1. assign V737481 = V246302 + 1. assign V036310 = V717621 + 1. assign V938277 = V943567 - 1. assign V697052 = V569574 - 1. assign V976937 = V273200 + 1. assign V950924 = V741168 - 1. assign V524186 = V880948. assign V167787 = V273200. assign V695834 = V134853. assign V134853 = V103547 - 1. assign V139790 = V717621 + 1. assign V909236 = V387486. assign V642009 = V717621 + 1. assign V459496 = V448524 - 1. assign V103547 = V443781. assign V933219 = V575535. assign V054574 = V659293. assign V301180 = V160659. assign V749179 = V167787. assign V626343 = V462914 - 1. assign V417950 = V462914 - 1. assign V827219 = V036310 + 1. assign V387486 = V626343. assign V387698 = V530198 - 1. assign V360116 = V320302 + 1. assign V583566 = V167787. assign V718612 = V098598. assign V532415 = V301548 + 1. assign V855739 = V816303 + 1. assign V628359 = V855739 - 1. assign V551298 = V659293. assign V168001 = V705424 + 1. assign V989121 = V689608 + 1. assign V741168 = V626343 - 1. assign V634262 = V301548 - 1. assign V968809 = V741168 - 1. assign V252743 = V530198. assign V058837 = V960040 + 1. assign V246302 = V103547. assign V717621 = V626343. assign V443781 = V168001 - 1. assign V964730 = V960040 - 1. assign V635578 = V551298. assign V320302 = V889243 - 1. assign V366373 = V320302 + 1. assign V569574 = V855739 + 1. assign V497687 = V100247.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV098598 = 1;\n\nFrom these direct assignment(s), we have: \nV718612 = V098598 = 1;\nNo other variables can be derived from V718612;\nNo other variables can be derived from V098598;\n\nNow we have done all the calculations. Derived variables are:\nV098598 = 1;\nV718612 = 1;\n\nNow we have finished this problem. ANSWER:\nV098598, V718612\n", "role": "assistant" } ]

[ "V075384" ]

[ { "content": "<context>\nassign V611830 = V825728 + 1. assign V213448 = V518325 - 1. assign V879406 = V535617. assign V276503 = V250599 + 1. assign V819222 = V247225. assign V121808 = V257245. assign V532228 = V421021 - 1. assign V744910 = V888377. assign V421021 = V046475 + 1. assign V835319 = V806929. assign V643900 = V905296 + 1. assign V075384 = V446411 - 1. assign V684236 = V831375 - 1. assign V799820 = V684236 - 1. assign V499127 = V421021 - 1. assign V535617 = V351816 + 1. assign V211678 = V518325 + 1. assign V705999 = V128507. assign V197868 = V435687 - 1. assign V685397 = V947665 - 1. assign V761512 = V888377 + 1. assign V215735 = V128507. assign V831375 = V542661 + 1. assign V250599 = V636224 + 1. assign V473737 = V685397. assign V107051 = V576983. assign V636224 = V564295. assign V947189 = V724972 - 1. assign V064145 = V473737 + 1. assign V361556 = V835319 - 1. assign V092911 = V538043. assign V068959 = V684236 - 1. assign V833272 = V905296 - 1. assign V825728 = V275595. assign V181058 = V121808 + 1. assign V446411 = 6. assign V778770 = V177510. assign V364439 = V239394 + 1. assign V947665 = V250599 + 1. assign V532587 = V538043 + 1. assign V490089 = V518325 + 1. assign V724972 = V275595. assign V851535 = V611830 + 1. assign V538043 = V036285 + 1. assign V576983 = V782324 + 1. assign V797179 = V947665 + 1. assign V887729 = V611830 - 1. assign V473024 = V538043. assign V500076 = V518325. assign V694324 = V799820 - 1. assign V351816 = V177510 - 1. assign V518325 = V250599 - 1. assign V018653 = V018570 + 1. assign V417203 = V761512 - 1. assign V277693 = V068959 + 1. assign V564295 = V782324 + 1. assign V027143 = V499127. assign V257245 = V947665 + 1. assign V906488 = V947665 + 1. assign V390470 = V806929. assign V267492 = V887729 - 1. assign V806929 = V782324. assign V942894 = V181058 - 1. assign V905296 = V724972 - 1. assign V018570 = V211678. assign V288021 = V499127 - 1. assign V247225 = V275595. assign V036285 = V046475 - 1. assign V802699 = V941859 + 1. assign V466272 = V288021. assign V888377 = V887729. assign V782324 = V046475. assign V542661 = V518325. assign V214581 = V538043 + 1. assign V128507 = V538043. assign V351915 = V364439 - 1. assign V652060 = V250599 - 1. assign V435687 = V724972 + 1. assign V364859 = V643900. assign V177510 = V239394 + 1. assign V251639 = V435687 - 1. assign V801566 = V652060. assign V275595 = V046475 - 1. assign V239394 = V046475 + 1. assign V937239 = V724972 + 1. assign V941859 = V564295.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V611830 = V825728 + 1. assign V213448 = V518325 - 1. assign V879406 = V535617. assign V276503 = V250599 + 1. assign V819222 = V247225. assign V121808 = V257245. assign V532228 = V421021 - 1. assign V744910 = V888377. assign V421021 = V046475 + 1. assign V835319 = V806929. assign V643900 = V905296 + 1. assign V075384 = V446411 - 1. assign V684236 = V831375 - 1. assign V799820 = V684236 - 1. assign V499127 = V421021 - 1. assign V535617 = V351816 + 1. assign V211678 = V518325 + 1. assign V705999 = V128507. assign V197868 = V435687 - 1. assign V685397 = V947665 - 1. assign V761512 = V888377 + 1. assign V215735 = V128507. assign V831375 = V542661 + 1. assign V250599 = V636224 + 1. assign V473737 = V685397. assign V107051 = V576983. assign V636224 = V564295. assign V947189 = V724972 - 1. assign V064145 = V473737 + 1. assign V361556 = V835319 - 1. assign V092911 = V538043. assign V068959 = V684236 - 1. assign V833272 = V905296 - 1. assign V825728 = V275595. assign V181058 = V121808 + 1. assign V446411 = 6. assign V778770 = V177510. assign V364439 = V239394 + 1. assign V947665 = V250599 + 1. assign V532587 = V538043 + 1. assign V490089 = V518325 + 1. assign V724972 = V275595. assign V851535 = V611830 + 1. assign V538043 = V036285 + 1. assign V576983 = V782324 + 1. assign V797179 = V947665 + 1. assign V887729 = V611830 - 1. assign V473024 = V538043. assign V500076 = V518325. assign V694324 = V799820 - 1. assign V351816 = V177510 - 1. assign V518325 = V250599 - 1. assign V018653 = V018570 + 1. assign V417203 = V761512 - 1. assign V277693 = V068959 + 1. assign V564295 = V782324 + 1. assign V027143 = V499127. assign V257245 = V947665 + 1. assign V906488 = V947665 + 1. assign V390470 = V806929. assign V267492 = V887729 - 1. assign V806929 = V782324. assign V942894 = V181058 - 1. assign V905296 = V724972 - 1. assign V018570 = V211678. assign V288021 = V499127 - 1. assign V247225 = V275595. assign V036285 = V046475 - 1. assign V802699 = V941859 + 1. assign V466272 = V288021. assign V888377 = V887729. assign V782324 = V046475. assign V542661 = V518325. assign V214581 = V538043 + 1. assign V128507 = V538043. assign V351915 = V364439 - 1. assign V652060 = V250599 - 1. assign V435687 = V724972 + 1. assign V364859 = V643900. assign V177510 = V239394 + 1. assign V251639 = V435687 - 1. assign V801566 = V652060. assign V275595 = V046475 - 1. assign V239394 = V046475 + 1. assign V937239 = V724972 + 1. assign V941859 = V564295.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV446411 = 6;\n\nFrom these direct assignment(s), we have: \nV075384 = V446411 - 1 = 6 - 1 =5;\nNo other variables can be derived from V075384;\nNo other variables can be derived from V446411;\n\nNow we have done all the calculations. Derived variables are:\nV446411 = 6;\nV075384 = 5;\n\nNow we have finished this problem. ANSWER:\nV075384\n", "role": "assistant" } ]

[ "V324141" ]

[ { "content": "<context>\nassign V427620 = V667863 + 1. assign V183824 = V548525 - 1. assign V252290 = V628552 + 1. assign V564769 = V604361. assign V238447 = V404442. assign V878606 = V799947 - 1. assign V890935 = V509798 - 1. assign V483224 = V060451. assign V081441 = V060451. assign V839791 = V604361 - 1. assign V044735 = V081441 + 1. assign V426201 = V718560. assign V348401 = 10. assign V823333 = V348004 - 1. assign V273912 = V331529 + 1. assign V396586 = V799947 + 1. assign V273694 = V956511 + 1. assign V247693 = V044735 + 1. assign V404442 = V102132 - 1. assign V517534 = V806509 + 1. assign V191679 = V423755. assign V944807 = V589015. assign V495302 = V787098 + 1. assign V589015 = V060451 - 1. assign V689193 = V548525. assign V118059 = V989303 + 1. assign V085050 = V054039 - 1. assign V538821 = V718560 + 1. assign V499363 = V414815. assign V604361 = V548525. assign V496126 = V348004 - 1. assign V304197 = V486234 + 1. assign V333149 = V667863. assign V228215 = V044735 - 1. assign V345785 = V331529. assign V092268 = V304197. assign V312369 = V423755. assign V956778 = V404442 + 1. assign V628552 = V102132 + 1. assign V977960 = V242994 + 1. assign V991990 = V878606 + 1. assign V185166 = V348004 - 1. assign V486234 = V102132 - 1. assign V060451 = V102132 + 1. assign V599394 = V944807. assign V893835 = V689193 - 1. assign V746676 = V333149 + 1. assign V548525 = V102132. assign V941523 = V799947 + 1. assign V348004 = V060451 + 1. assign V571311 = V242994 - 1. assign V689555 = V064393 - 1. assign V191103 = V247693 - 1. assign V465787 = V667863 - 1. assign V282766 = V878606 + 1. assign V102132 = V242994 - 1. assign V067951 = V312369 - 1. assign V730055 = V718560 + 1. assign V222433 = V348004 - 1. assign V718560 = V242994 - 1. assign V381289 = V423755 - 1. assign V657964 = V944807 + 1. assign V054039 = V242994 + 1. assign V922310 = V589015. assign V324141 = V348401 + 1. assign V799947 = V242994 + 1. assign V325578 = V345785 - 1. assign V076315 = V183824 - 1. assign V090957 = V333149 + 1. assign V806509 = V060451 - 1. assign V875177 = V989303 - 1. assign V787098 = V730055. assign V509798 = V183824 + 1. assign V592544 = V396586 - 1. assign V956511 = V944807 - 1. assign V423755 = V718560 + 1. assign V989303 = V823250 - 1. assign V099080 = V427620 - 1. assign V035077 = V118059 - 1. assign V667863 = V628552 - 1. assign V331529 = V081441. assign V414815 = V396586 + 1. assign V823250 = V486234. assign V764492 = V191103 - 1. assign V259445 = V304197 - 1. assign V064393 = V548525.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V427620 = V667863 + 1. assign V183824 = V548525 - 1. assign V252290 = V628552 + 1. assign V564769 = V604361. assign V238447 = V404442. assign V878606 = V799947 - 1. assign V890935 = V509798 - 1. assign V483224 = V060451. assign V081441 = V060451. assign V839791 = V604361 - 1. assign V044735 = V081441 + 1. assign V426201 = V718560. assign V348401 = 10. assign V823333 = V348004 - 1. assign V273912 = V331529 + 1. assign V396586 = V799947 + 1. assign V273694 = V956511 + 1. assign V247693 = V044735 + 1. assign V404442 = V102132 - 1. assign V517534 = V806509 + 1. assign V191679 = V423755. assign V944807 = V589015. assign V495302 = V787098 + 1. assign V589015 = V060451 - 1. assign V689193 = V548525. assign V118059 = V989303 + 1. assign V085050 = V054039 - 1. assign V538821 = V718560 + 1. assign V499363 = V414815. assign V604361 = V548525. assign V496126 = V348004 - 1. assign V304197 = V486234 + 1. assign V333149 = V667863. assign V228215 = V044735 - 1. assign V345785 = V331529. assign V092268 = V304197. assign V312369 = V423755. assign V956778 = V404442 + 1. assign V628552 = V102132 + 1. assign V977960 = V242994 + 1. assign V991990 = V878606 + 1. assign V185166 = V348004 - 1. assign V486234 = V102132 - 1. assign V060451 = V102132 + 1. assign V599394 = V944807. assign V893835 = V689193 - 1. assign V746676 = V333149 + 1. assign V548525 = V102132. assign V941523 = V799947 + 1. assign V348004 = V060451 + 1. assign V571311 = V242994 - 1. assign V689555 = V064393 - 1. assign V191103 = V247693 - 1. assign V465787 = V667863 - 1. assign V282766 = V878606 + 1. assign V102132 = V242994 - 1. assign V067951 = V312369 - 1. assign V730055 = V718560 + 1. assign V222433 = V348004 - 1. assign V718560 = V242994 - 1. assign V381289 = V423755 - 1. assign V657964 = V944807 + 1. assign V054039 = V242994 + 1. assign V922310 = V589015. assign V324141 = V348401 + 1. assign V799947 = V242994 + 1. assign V325578 = V345785 - 1. assign V076315 = V183824 - 1. assign V090957 = V333149 + 1. assign V806509 = V060451 - 1. assign V875177 = V989303 - 1. assign V787098 = V730055. assign V509798 = V183824 + 1. assign V592544 = V396586 - 1. assign V956511 = V944807 - 1. assign V423755 = V718560 + 1. assign V989303 = V823250 - 1. assign V099080 = V427620 - 1. assign V035077 = V118059 - 1. assign V667863 = V628552 - 1. assign V331529 = V081441. assign V414815 = V396586 + 1. assign V823250 = V486234. assign V764492 = V191103 - 1. assign V259445 = V304197 - 1. assign V064393 = V548525.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV348401 = 10;\n\nFrom these direct assignment(s), we have: \nV324141 = V348401 + 1 = 10 + 1 =11;\nNo other variables can be derived from V324141;\nNo other variables can be derived from V348401;\n\nNow we have done all the calculations. Derived variables are:\nV348401 = 10;\nV324141 = 11;\n\nNow we have finished this problem. ANSWER:\nV324141\n", "role": "assistant" } ]

[ "V660081", "V910478" ]

[ { "content": "<context>\nassign V478550 = V656171 + 1. assign V455639 = V283554. assign V983630 = V559321. assign V972040 = V364012 - 1. assign V233922 = V618352. assign V078496 = V478550 + 1. assign V374896 = V087470 - 1. assign V936183 = V936969. assign V062113 = V404034. assign V512836 = V651680. assign V961429 = V078496 - 1. assign V037503 = V476423. assign V542718 = V828018 - 1. assign V963081 = V656171. assign V936969 = V478550 - 1. assign V271731 = V078496 - 1. assign V476321 = V394252 - 1. assign V600096 = V722623. assign V719470 = V301193. assign V437301 = V732947 - 1. assign V149925 = V360134. assign V656171 = V404034 - 1. assign V958725 = V722623. assign V188502 = V476321 + 1. assign V824713 = V069474 + 1. assign V941863 = V524210. assign V009098 = V567197 + 1. assign V618901 = V958725. assign V934547 = V206451. assign V685386 = V840739. assign V364012 = V478550 - 1. assign V660081 = 6. assign V282359 = V078496 - 1. assign V780969 = V685386. assign V283554 = V958725 - 1. assign V901754 = V170334 - 1. assign V357387 = V069474 - 1. assign V416318 = V905797 - 1. assign V618352 = V478550 - 1. assign V828018 = V394252. assign V570902 = V722623 + 1. assign V910478 = V660081. assign V145546 = V445256 + 1. assign V651680 = V062113. assign V840739 = V069474. assign V862373 = V824713. assign V910102 = V945844 + 1. assign V657573 = V301193 - 1. assign V170334 = V364012. assign V524210 = V618352 - 1. assign V207718 = V963081 - 1. assign V923032 = V206451. assign V445256 = V078496. assign V358822 = V722623 + 1. assign V559321 = V404034. assign V360134 = V062113 + 1. assign V912246 = V478550 - 1. assign V606772 = V078496 + 1. assign V567197 = V188502 + 1. assign V197506 = V283554. assign V301193 = V921148 - 1. assign V643864 = V828018. assign V693985 = V921148 + 1. assign V921148 = V912246 + 1. assign V770095 = V656171. assign V877458 = V149925. assign V022348 = V078496 + 1. assign V218580 = V722623 - 1. assign V394252 = V062113 + 1. assign V722623 = V404034 - 1. assign V206451 = V476321 - 1. assign V732947 = V828018. assign V355704 = V062113. assign V741693 = V478550 + 1. assign V905797 = V207718. assign V389854 = V651680. assign V288785 = V963081. assign V299858 = V271731 - 1. assign V283751 = V958725 + 1. assign V945844 = V360134 - 1. assign V306538 = V282359. assign V205266 = V941863. assign V476423 = V062113 - 1. assign V069474 = V078496 + 1. assign V225979 = V840739 - 1. assign V087470 = V149925 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V478550 = V656171 + 1. assign V455639 = V283554. assign V983630 = V559321. assign V972040 = V364012 - 1. assign V233922 = V618352. assign V078496 = V478550 + 1. assign V374896 = V087470 - 1. assign V936183 = V936969. assign V062113 = V404034. assign V512836 = V651680. assign V961429 = V078496 - 1. assign V037503 = V476423. assign V542718 = V828018 - 1. assign V963081 = V656171. assign V936969 = V478550 - 1. assign V271731 = V078496 - 1. assign V476321 = V394252 - 1. assign V600096 = V722623. assign V719470 = V301193. assign V437301 = V732947 - 1. assign V149925 = V360134. assign V656171 = V404034 - 1. assign V958725 = V722623. assign V188502 = V476321 + 1. assign V824713 = V069474 + 1. assign V941863 = V524210. assign V009098 = V567197 + 1. assign V618901 = V958725. assign V934547 = V206451. assign V685386 = V840739. assign V364012 = V478550 - 1. assign V660081 = 6. assign V282359 = V078496 - 1. assign V780969 = V685386. assign V283554 = V958725 - 1. assign V901754 = V170334 - 1. assign V357387 = V069474 - 1. assign V416318 = V905797 - 1. assign V618352 = V478550 - 1. assign V828018 = V394252. assign V570902 = V722623 + 1. assign V910478 = V660081. assign V145546 = V445256 + 1. assign V651680 = V062113. assign V840739 = V069474. assign V862373 = V824713. assign V910102 = V945844 + 1. assign V657573 = V301193 - 1. assign V170334 = V364012. assign V524210 = V618352 - 1. assign V207718 = V963081 - 1. assign V923032 = V206451. assign V445256 = V078496. assign V358822 = V722623 + 1. assign V559321 = V404034. assign V360134 = V062113 + 1. assign V912246 = V478550 - 1. assign V606772 = V078496 + 1. assign V567197 = V188502 + 1. assign V197506 = V283554. assign V301193 = V921148 - 1. assign V643864 = V828018. assign V693985 = V921148 + 1. assign V921148 = V912246 + 1. assign V770095 = V656171. assign V877458 = V149925. assign V022348 = V078496 + 1. assign V218580 = V722623 - 1. assign V394252 = V062113 + 1. assign V722623 = V404034 - 1. assign V206451 = V476321 - 1. assign V732947 = V828018. assign V355704 = V062113. assign V741693 = V478550 + 1. assign V905797 = V207718. assign V389854 = V651680. assign V288785 = V963081. assign V299858 = V271731 - 1. assign V283751 = V958725 + 1. assign V945844 = V360134 - 1. assign V306538 = V282359. assign V205266 = V941863. assign V476423 = V062113 - 1. assign V069474 = V078496 + 1. assign V225979 = V840739 - 1. assign V087470 = V149925 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV660081 = 6;\n\nFrom these direct assignment(s), we have: \nV910478 = V660081 = 6;\nNo other variables can be derived from V910478;\nNo other variables can be derived from V660081;\n\nNow we have done all the calculations. Derived variables are:\nV660081 = 6;\nV910478 = 6;\n\nNow we have finished this problem. ANSWER:\nV660081, V910478\n", "role": "assistant" } ]

[ "V028084" ]

[ { "content": "<context>\nassign V401707 = V240290 - 1. assign V632178 = V130085. assign V977629 = V701931 + 1. assign V028084 = V883458 + 1. assign V917095 = V039537 + 1. assign V634699 = V329033 - 1. assign V309729 = V847689 + 1. assign V935159 = V365619 + 1. assign V016204 = V371376. assign V210246 = V266757 + 1. assign V883458 = 1. assign V396020 = V260724 - 1. assign V217204 = V673605 + 1. assign V684081 = V631671 + 1. assign V957361 = V173537. assign V018466 = V569748. assign V494168 = V126999. assign V309155 = V371376. assign V407188 = V459214 + 1. assign V822185 = V172983. assign V398461 = V927196 + 1. assign V822833 = V240290 - 1. assign V927196 = V845418 + 1. assign V656155 = V316703. assign V007640 = V200837 - 1. assign V206305 = V927196. assign V459214 = V206305 - 1. assign V867380 = V631671 - 1. assign V569748 = V329033. assign V248719 = V217204. assign V099638 = V656155. assign V107918 = V217204 - 1. assign V126999 = V316703 + 1. assign V688340 = V365619 + 1. assign V806894 = V240290 - 1. assign V701931 = V494168 + 1. assign V257056 = V135676. assign V776654 = V631671 - 1. assign V978976 = V007640 - 1. assign V145760 = V012580. assign V135676 = V569748 - 1. assign V012580 = V631671 - 1. assign V025596 = V365619 + 1. assign V240290 = V217204. assign V260724 = V684081 - 1. assign V775617 = V173537 + 1. assign V673605 = V569748. assign V618582 = V080728 - 1. assign V200837 = V927196 - 1. assign V011443 = V867380 - 1. assign V017721 = V217204. assign V901437 = V080728 + 1. assign V847689 = V169363 + 1. assign V316703 = V329033 + 1. assign V184558 = V486154. assign V302049 = V007640. assign V013203 = V618582. assign V995436 = V436969 + 1. assign V173537 = V569748 - 1. assign V069753 = V371376 - 1. assign V486154 = V140176. assign V123200 = V329033 + 1. assign V039537 = V123200 - 1. assign V886126 = V977629. assign V266757 = V018466. assign V172983 = V688340 - 1. assign V631671 = V217204 + 1. assign V080728 = V140176. assign V595882 = V011443. assign V403696 = V459214 - 1. assign V123435 = V217204 - 1. assign V722925 = V016204. assign V388854 = V927196. assign V371376 = V927196 + 1. assign V169363 = V329033 - 1. assign V737158 = V018466 + 1. assign V436969 = V701931 - 1. assign V365619 = V248719. assign V884450 = V977629. assign V454253 = V069753. assign V845418 = V569748. assign V130085 = V776654. assign V560462 = V039537 + 1. assign V749155 = V248719 + 1. assign V140176 = V316703 - 1. assign V552082 = V135676 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V401707 = V240290 - 1. assign V632178 = V130085. assign V977629 = V701931 + 1. assign V028084 = V883458 + 1. assign V917095 = V039537 + 1. assign V634699 = V329033 - 1. assign V309729 = V847689 + 1. assign V935159 = V365619 + 1. assign V016204 = V371376. assign V210246 = V266757 + 1. assign V883458 = 1. assign V396020 = V260724 - 1. assign V217204 = V673605 + 1. assign V684081 = V631671 + 1. assign V957361 = V173537. assign V018466 = V569748. assign V494168 = V126999. assign V309155 = V371376. assign V407188 = V459214 + 1. assign V822185 = V172983. assign V398461 = V927196 + 1. assign V822833 = V240290 - 1. assign V927196 = V845418 + 1. assign V656155 = V316703. assign V007640 = V200837 - 1. assign V206305 = V927196. assign V459214 = V206305 - 1. assign V867380 = V631671 - 1. assign V569748 = V329033. assign V248719 = V217204. assign V099638 = V656155. assign V107918 = V217204 - 1. assign V126999 = V316703 + 1. assign V688340 = V365619 + 1. assign V806894 = V240290 - 1. assign V701931 = V494168 + 1. assign V257056 = V135676. assign V776654 = V631671 - 1. assign V978976 = V007640 - 1. assign V145760 = V012580. assign V135676 = V569748 - 1. assign V012580 = V631671 - 1. assign V025596 = V365619 + 1. assign V240290 = V217204. assign V260724 = V684081 - 1. assign V775617 = V173537 + 1. assign V673605 = V569748. assign V618582 = V080728 - 1. assign V200837 = V927196 - 1. assign V011443 = V867380 - 1. assign V017721 = V217204. assign V901437 = V080728 + 1. assign V847689 = V169363 + 1. assign V316703 = V329033 + 1. assign V184558 = V486154. assign V302049 = V007640. assign V013203 = V618582. assign V995436 = V436969 + 1. assign V173537 = V569748 - 1. assign V069753 = V371376 - 1. assign V486154 = V140176. assign V123200 = V329033 + 1. assign V039537 = V123200 - 1. assign V886126 = V977629. assign V266757 = V018466. assign V172983 = V688340 - 1. assign V631671 = V217204 + 1. assign V080728 = V140176. assign V595882 = V011443. assign V403696 = V459214 - 1. assign V123435 = V217204 - 1. assign V722925 = V016204. assign V388854 = V927196. assign V371376 = V927196 + 1. assign V169363 = V329033 - 1. assign V737158 = V018466 + 1. assign V436969 = V701931 - 1. assign V365619 = V248719. assign V884450 = V977629. assign V454253 = V069753. assign V845418 = V569748. assign V130085 = V776654. assign V560462 = V039537 + 1. assign V749155 = V248719 + 1. assign V140176 = V316703 - 1. assign V552082 = V135676 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV883458 = 1;\n\nFrom these direct assignment(s), we have: \nV028084 = V883458 + 1 = 1 + 1 =2;\nNo other variables can be derived from V028084;\nNo other variables can be derived from V883458;\n\nNow we have done all the calculations. Derived variables are:\nV883458 = 1;\nV028084 = 2;\n\nNow we have finished this problem. ANSWER:\nV028084\n", "role": "assistant" } ]

[ "V863194" ]

[ { "content": "<context>\nassign V174958 = V764828 - 1. assign V728127 = V441892 - 1. assign V857148 = V145321 - 1. assign V871711 = V998607. assign V263377 = V714286 + 1. assign V605711 = V367259 + 1. assign V499030 = V276343. assign V797702 = V798751 + 1. assign V296420 = V944847. assign V654448 = V274826. assign V977083 = V450299 - 1. assign V621527 = V944847 + 1. assign V802018 = V704876 - 1. assign V110647 = V356392 + 1. assign V441892 = V360903. assign V528064 = V798751 + 1. assign V863194 = 5. assign V072495 = V215219 + 1. assign V096069 = V704876 + 1. assign V495160 = V918768 + 1. assign V500076 = V496566. assign V116450 = V450299 + 1. assign V869432 = V944847 - 1. assign V798751 = V343960 + 1. assign V027261 = V256272 - 1. assign V904407 = V978519 - 1. assign V944847 = V343960. assign V429480 = V496566 + 1. assign V482010 = V343960 - 1. assign V153674 = V714286 + 1. assign V978519 = V764828 - 1. assign V276343 = V833165 + 1. assign V913006 = V268988 - 1. assign V058237 = V446333 - 1. assign V360903 = V704876. assign V515794 = V256272. assign V228437 = V798751 + 1. assign V151144 = V027261 + 1. assign V764828 = V528064 + 1. assign V496566 = V797702 - 1. assign V274826 = V174958 + 1. assign V833165 = V798751. assign V545675 = V174958. assign V215219 = V978519 + 1. assign V714286 = V764828. assign V164380 = V863194 + 1. assign V829337 = V496566 - 1. assign V998607 = V268988 + 1. assign V414046 = V084149 + 1. assign V918768 = V978519. assign V356392 = V414046 - 1. assign V865726 = V704876 - 1. assign V704876 = V256272 - 1. assign V797533 = V268988 + 1. assign V084149 = V797702 - 1. assign V926901 = V084149. assign V446333 = V829337 - 1. assign V592326 = V343960 - 1. assign V228828 = V615295 + 1. assign V935295 = V592326 + 1. assign V390072 = V429480 - 1. assign V095424 = V215219 + 1. assign V140175 = V977083 - 1. assign V137221 = V515794 - 1. assign V673170 = V515794 + 1. assign V978206 = V096069 + 1. assign V786821 = V360903. assign V145321 = V296420 + 1. assign V450299 = V798751 - 1. assign V653285 = V343960. assign V972435 = V058237 + 1. assign V401195 = V528064 - 1. assign V524897 = V704876 + 1. assign V520523 = V268988. assign V367259 = V833165. assign V059865 = V865726 + 1. assign V915367 = V528064 - 1. assign V631403 = V367259. assign V403811 = V072495. assign V256272 = V798751 - 1. assign V615295 = V998607. assign V229804 = V978519 - 1. assign V732999 = V528064 + 1. assign V268988 = V528064 - 1. assign V217837 = V446333 - 1. assign V633009 = V441892 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V174958 = V764828 - 1. assign V728127 = V441892 - 1. assign V857148 = V145321 - 1. assign V871711 = V998607. assign V263377 = V714286 + 1. assign V605711 = V367259 + 1. assign V499030 = V276343. assign V797702 = V798751 + 1. assign V296420 = V944847. assign V654448 = V274826. assign V977083 = V450299 - 1. assign V621527 = V944847 + 1. assign V802018 = V704876 - 1. assign V110647 = V356392 + 1. assign V441892 = V360903. assign V528064 = V798751 + 1. assign V863194 = 5. assign V072495 = V215219 + 1. assign V096069 = V704876 + 1. assign V495160 = V918768 + 1. assign V500076 = V496566. assign V116450 = V450299 + 1. assign V869432 = V944847 - 1. assign V798751 = V343960 + 1. assign V027261 = V256272 - 1. assign V904407 = V978519 - 1. assign V944847 = V343960. assign V429480 = V496566 + 1. assign V482010 = V343960 - 1. assign V153674 = V714286 + 1. assign V978519 = V764828 - 1. assign V276343 = V833165 + 1. assign V913006 = V268988 - 1. assign V058237 = V446333 - 1. assign V360903 = V704876. assign V515794 = V256272. assign V228437 = V798751 + 1. assign V151144 = V027261 + 1. assign V764828 = V528064 + 1. assign V496566 = V797702 - 1. assign V274826 = V174958 + 1. assign V833165 = V798751. assign V545675 = V174958. assign V215219 = V978519 + 1. assign V714286 = V764828. assign V164380 = V863194 + 1. assign V829337 = V496566 - 1. assign V998607 = V268988 + 1. assign V414046 = V084149 + 1. assign V918768 = V978519. assign V356392 = V414046 - 1. assign V865726 = V704876 - 1. assign V704876 = V256272 - 1. assign V797533 = V268988 + 1. assign V084149 = V797702 - 1. assign V926901 = V084149. assign V446333 = V829337 - 1. assign V592326 = V343960 - 1. assign V228828 = V615295 + 1. assign V935295 = V592326 + 1. assign V390072 = V429480 - 1. assign V095424 = V215219 + 1. assign V140175 = V977083 - 1. assign V137221 = V515794 - 1. assign V673170 = V515794 + 1. assign V978206 = V096069 + 1. assign V786821 = V360903. assign V145321 = V296420 + 1. assign V450299 = V798751 - 1. assign V653285 = V343960. assign V972435 = V058237 + 1. assign V401195 = V528064 - 1. assign V524897 = V704876 + 1. assign V520523 = V268988. assign V367259 = V833165. assign V059865 = V865726 + 1. assign V915367 = V528064 - 1. assign V631403 = V367259. assign V403811 = V072495. assign V256272 = V798751 - 1. assign V615295 = V998607. assign V229804 = V978519 - 1. assign V732999 = V528064 + 1. assign V268988 = V528064 - 1. assign V217837 = V446333 - 1. assign V633009 = V441892 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV863194 = 5;\n\nFrom these direct assignment(s), we have: \nV164380 = V863194 + 1 = 5 + 1 =6;\nNo other variables can be derived from V164380;\nNo other variables can be derived from V863194;\n\nNow we have done all the calculations. Derived variables are:\nV863194 = 5;\nV164380 = 6;\n\nNow we have finished this problem. ANSWER:\nV863194\n", "role": "assistant" } ]

[ "V709948", "V174524" ]

[ { "content": "<context>\nassign V478611 = V277623. assign V983179 = V718498. assign V539121 = V106811 + 1. assign V564317 = V465658 + 1. assign V106811 = V761910 - 1. assign V369376 = V718498 + 1. assign V556610 = V132458. assign V277623 = V564317 - 1. assign V691179 = V280412. assign V052371 = V106811 + 1. assign V524611 = V478611 - 1. assign V280412 = V120763 + 1. assign V761910 = V080676. assign V778342 = V411113. assign V093362 = V241125. assign V643599 = V202847 - 1. assign V351105 = V505722 - 1. assign V411113 = V691179. assign V242320 = V709971. assign V536835 = V282065. assign V319495 = V694101 + 1. assign V873794 = V246735. assign V064992 = V718498. assign V249476 = V080676. assign V312360 = V731351 - 1. assign V731351 = V094870 - 1. assign V078886 = V873794. assign V345680 = V472619 + 1. assign V132458 = V778342. assign V241125 = V974401. assign V057919 = V035918. assign V277338 = V694101. assign V193243 = V282065. assign V308861 = V675353. assign V282065 = V116028 - 1. assign V314146 = V202847. assign V941970 = V270930 - 1. assign V094870 = V120763. assign V413376 = V478201 + 1. assign V278180 = V653638. assign V226658 = V132458 + 1. assign V796818 = V277623 - 1. assign V653730 = V566562. assign V116028 = V120763 - 1. assign V605870 = V057919 + 1. assign V478201 = V411113. assign V974401 = V778342. assign V246735 = V761910 + 1. assign V472619 = V106811 - 1. assign V550453 = V676581 + 1. assign V694101 = V731351 + 1. assign V232791 = V270930 - 1. assign V135314 = V778342. assign V416793 = V731351 + 1. assign V243685 = V718498 + 1. assign V240411 = V314146. assign V676581 = V246735. assign V035918 = V183295 - 1. assign V280303 = V524611. assign V569620 = V974401. assign V394890 = V243685 + 1. assign V465658 = V080676 - 1. assign V174524 = V709948. assign V534997 = V241125 + 1. assign V540755 = V974401 + 1. assign V653638 = V472619 - 1. assign V971726 = V478201 - 1. assign V120763 = V566562 + 1. assign V675353 = V731351 - 1. assign V706697 = V102943 - 1. assign V505722 = V796818 - 1. assign V270930 = V761910 - 1. assign V278280 = V478611. assign V183295 = V241125 + 1. assign V718498 = V052371. assign V709948 = 9. assign V709971 = V057919. assign V042268 = V249476 + 1. assign V102943 = V566562 - 1. assign V092302 = V270930 + 1. assign V202847 = V691179 + 1. assign V597489 = V534997 + 1. assign V232637 = V550453 - 1. assign V783533 = V282065. assign V060235 = V094870. assign V080676 = V566562 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V478611 = V277623. assign V983179 = V718498. assign V539121 = V106811 + 1. assign V564317 = V465658 + 1. assign V106811 = V761910 - 1. assign V369376 = V718498 + 1. assign V556610 = V132458. assign V277623 = V564317 - 1. assign V691179 = V280412. assign V052371 = V106811 + 1. assign V524611 = V478611 - 1. assign V280412 = V120763 + 1. assign V761910 = V080676. assign V778342 = V411113. assign V093362 = V241125. assign V643599 = V202847 - 1. assign V351105 = V505722 - 1. assign V411113 = V691179. assign V242320 = V709971. assign V536835 = V282065. assign V319495 = V694101 + 1. assign V873794 = V246735. assign V064992 = V718498. assign V249476 = V080676. assign V312360 = V731351 - 1. assign V731351 = V094870 - 1. assign V078886 = V873794. assign V345680 = V472619 + 1. assign V132458 = V778342. assign V241125 = V974401. assign V057919 = V035918. assign V277338 = V694101. assign V193243 = V282065. assign V308861 = V675353. assign V282065 = V116028 - 1. assign V314146 = V202847. assign V941970 = V270930 - 1. assign V094870 = V120763. assign V413376 = V478201 + 1. assign V278180 = V653638. assign V226658 = V132458 + 1. assign V796818 = V277623 - 1. assign V653730 = V566562. assign V116028 = V120763 - 1. assign V605870 = V057919 + 1. assign V478201 = V411113. assign V974401 = V778342. assign V246735 = V761910 + 1. assign V472619 = V106811 - 1. assign V550453 = V676581 + 1. assign V694101 = V731351 + 1. assign V232791 = V270930 - 1. assign V135314 = V778342. assign V416793 = V731351 + 1. assign V243685 = V718498 + 1. assign V240411 = V314146. assign V676581 = V246735. assign V035918 = V183295 - 1. assign V280303 = V524611. assign V569620 = V974401. assign V394890 = V243685 + 1. assign V465658 = V080676 - 1. assign V174524 = V709948. assign V534997 = V241125 + 1. assign V540755 = V974401 + 1. assign V653638 = V472619 - 1. assign V971726 = V478201 - 1. assign V120763 = V566562 + 1. assign V675353 = V731351 - 1. assign V706697 = V102943 - 1. assign V505722 = V796818 - 1. assign V270930 = V761910 - 1. assign V278280 = V478611. assign V183295 = V241125 + 1. assign V718498 = V052371. assign V709948 = 9. assign V709971 = V057919. assign V042268 = V249476 + 1. assign V102943 = V566562 - 1. assign V092302 = V270930 + 1. assign V202847 = V691179 + 1. assign V597489 = V534997 + 1. assign V232637 = V550453 - 1. assign V783533 = V282065. assign V060235 = V094870. assign V080676 = V566562 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV709948 = 9;\n\nFrom these direct assignment(s), we have: \nV174524 = V709948 = 9;\nNo other variables can be derived from V174524;\nNo other variables can be derived from V709948;\n\nNow we have done all the calculations. Derived variables are:\nV709948 = 9;\nV174524 = 9;\n\nNow we have finished this problem. ANSWER:\nV709948, V174524\n", "role": "assistant" } ]

[ "V850151", "V010234" ]

[ { "content": "<context>\nassign V360366 = V738544 - 1. assign V671801 = V259527 + 1. assign V769939 = V802200 + 1. assign V714059 = V259527 - 1. assign V616213 = V941901. assign V318689 = V940870 + 1. assign V138870 = V853704 + 1. assign V877688 = V853702 + 1. assign V544103 = V846711. assign V667282 = V348393 + 1. assign V088866 = V738544 - 1. assign V980465 = V259527 + 1. assign V854651 = V745371 + 1. assign V732692 = V783073 + 1. assign V967611 = V131558 - 1. assign V745371 = V209867 - 1. assign V640759 = V877688 + 1. assign V198565 = V259527. assign V699426 = V971919. assign V298479 = V598202 - 1. assign V075868 = V713963. assign V807231 = V360366. assign V638875 = V940870. assign V971919 = V280088 + 1. assign V846711 = V980465 + 1. assign V752289 = V192101 + 1. assign V121430 = V877688 + 1. assign V377514 = V769939. assign V887026 = V121430. assign V899661 = V640759 + 1. assign V892113 = V221288 + 1. assign V259527 = V853702 - 1. assign V993788 = V640759. assign V047645 = V853702. assign V600971 = V807231 + 1. assign V368962 = V738544. assign V314579 = V121430 + 1. assign V662631 = V853704. assign V853704 = V121430 - 1. assign V250481 = V209867 + 1. assign V186380 = V853704 - 1. assign V712317 = V967611 - 1. assign V941901 = V567665. assign V196837 = V892113 + 1. assign V165929 = V640759. assign V371098 = V360366. assign V243278 = V769939. assign V763697 = V971919. assign V020231 = V887026 + 1. assign V302512 = V890892. assign V980841 = V858403 - 1. assign V572974 = V713963 + 1. assign V348393 = V121430 + 1. assign V280088 = V713963 - 1. assign V713963 = V121430 - 1. assign V598202 = V377514. assign V184032 = V712317 + 1. assign V802200 = V640759 - 1. assign V229870 = V802200 - 1. assign V221288 = V877688 - 1. assign V701138 = V940870. assign V025680 = V713963 + 1. assign V772815 = V714059 - 1. assign V209867 = V980465 + 1. assign V567665 = V209867. assign V890892 = V980841 - 1. assign V118728 = V980465 + 1. assign V575266 = V713963. assign V486817 = V713963 - 1. assign V940870 = V858403 - 1. assign V193748 = V192101 - 1. assign V858403 = V853702 + 1. assign V362655 = V940870 + 1. assign V393768 = V280088 - 1. assign V248988 = V360366. assign V131558 = V221288 - 1. assign V192101 = V980841. assign V260746 = V807231 - 1. assign V889370 = V967611. assign V010234 = V850151. assign V738544 = V025680. assign V017289 = V783073 - 1. assign V465924 = V360366. assign V293536 = V118728 + 1. assign V783073 = V221288 + 1. assign V850151 = 6.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V360366 = V738544 - 1. assign V671801 = V259527 + 1. assign V769939 = V802200 + 1. assign V714059 = V259527 - 1. assign V616213 = V941901. assign V318689 = V940870 + 1. assign V138870 = V853704 + 1. assign V877688 = V853702 + 1. assign V544103 = V846711. assign V667282 = V348393 + 1. assign V088866 = V738544 - 1. assign V980465 = V259527 + 1. assign V854651 = V745371 + 1. assign V732692 = V783073 + 1. assign V967611 = V131558 - 1. assign V745371 = V209867 - 1. assign V640759 = V877688 + 1. assign V198565 = V259527. assign V699426 = V971919. assign V298479 = V598202 - 1. assign V075868 = V713963. assign V807231 = V360366. assign V638875 = V940870. assign V971919 = V280088 + 1. assign V846711 = V980465 + 1. assign V752289 = V192101 + 1. assign V121430 = V877688 + 1. assign V377514 = V769939. assign V887026 = V121430. assign V899661 = V640759 + 1. assign V892113 = V221288 + 1. assign V259527 = V853702 - 1. assign V993788 = V640759. assign V047645 = V853702. assign V600971 = V807231 + 1. assign V368962 = V738544. assign V314579 = V121430 + 1. assign V662631 = V853704. assign V853704 = V121430 - 1. assign V250481 = V209867 + 1. assign V186380 = V853704 - 1. assign V712317 = V967611 - 1. assign V941901 = V567665. assign V196837 = V892113 + 1. assign V165929 = V640759. assign V371098 = V360366. assign V243278 = V769939. assign V763697 = V971919. assign V020231 = V887026 + 1. assign V302512 = V890892. assign V980841 = V858403 - 1. assign V572974 = V713963 + 1. assign V348393 = V121430 + 1. assign V280088 = V713963 - 1. assign V713963 = V121430 - 1. assign V598202 = V377514. assign V184032 = V712317 + 1. assign V802200 = V640759 - 1. assign V229870 = V802200 - 1. assign V221288 = V877688 - 1. assign V701138 = V940870. assign V025680 = V713963 + 1. assign V772815 = V714059 - 1. assign V209867 = V980465 + 1. assign V567665 = V209867. assign V890892 = V980841 - 1. assign V118728 = V980465 + 1. assign V575266 = V713963. assign V486817 = V713963 - 1. assign V940870 = V858403 - 1. assign V193748 = V192101 - 1. assign V858403 = V853702 + 1. assign V362655 = V940870 + 1. assign V393768 = V280088 - 1. assign V248988 = V360366. assign V131558 = V221288 - 1. assign V192101 = V980841. assign V260746 = V807231 - 1. assign V889370 = V967611. assign V010234 = V850151. assign V738544 = V025680. assign V017289 = V783073 - 1. assign V465924 = V360366. assign V293536 = V118728 + 1. assign V783073 = V221288 + 1. assign V850151 = 6.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV850151 = 6;\n\nFrom these direct assignment(s), we have: \nV010234 = V850151 = 6;\nNo other variables can be derived from V010234;\nNo other variables can be derived from V850151;\n\nNow we have done all the calculations. Derived variables are:\nV850151 = 6;\nV010234 = 6;\n\nNow we have finished this problem. ANSWER:\nV850151, V010234\n", "role": "assistant" } ]

[ "V413353" ]

[ { "content": "<context>\nassign V729390 = V083800. assign V215442 = V171041 + 1. assign V680267 = V554023 - 1. assign V171041 = V988969 - 1. assign V325231 = V551548 - 1. assign V621767 = V509229 - 1. assign V526174 = V120957. assign V315088 = V209865 - 1. assign V638434 = V130184 + 1. assign V007688 = V957689 + 1. assign V441438 = V957689. assign V375072 = V729390 + 1. assign V391995 = V209865 - 1. assign V977837 = V216202 + 1. assign V509229 = V988969. assign V769842 = V209865 - 1. assign V731254 = V302594 - 1. assign V285374 = V083800 + 1. assign V415764 = V769842 + 1. assign V924093 = V176533 + 1. assign V032678 = V917458 - 1. assign V096949 = V429861 - 1. assign V816685 = V375072 - 1. assign V302414 = V554023 + 1. assign V332699 = V202255. assign V429861 = V202255. assign V537295 = V202255 - 1. assign V830177 = V853632 + 1. assign V403679 = V509229. assign V384669 = V729390 + 1. assign V737235 = V349110 - 1. assign V120957 = V230592. assign V557665 = V373305. assign V421822 = V554023 - 1. assign V901630 = V332699. assign V413353 = V027600 - 1. assign V027600 = 1. assign V125306 = V509229 + 1. assign V556508 = V373305. assign V551548 = V978286. assign V302594 = V230592 + 1. assign V424368 = V096949 + 1. assign V354643 = V638434 - 1. assign V225902 = V147540. assign V933843 = V403679. assign V686476 = V866620 - 1. assign V499181 = V531401 - 1. assign V866620 = V373305 - 1. assign V965025 = V551548. assign V777476 = V680267. assign V209865 = V988969 + 1. assign V554023 = V927704 - 1. assign V768939 = V130184. assign V083800 = V988969 - 1. assign V853632 = V384669. assign V531401 = V957689 - 1. assign V202255 = V082000 + 1. assign V082000 = V988969 - 1. assign V063059 = V965025 - 1. assign V963925 = V215442 - 1. assign V776914 = V917458 + 1. assign V216202 = V171041. assign V485749 = V988969 + 1. assign V217909 = V225902 - 1. assign V957689 = V082000 - 1. assign V785722 = V686476. assign V176533 = V554023 + 1. assign V373305 = V209865 + 1. assign V633807 = V230592 - 1. assign V349110 = V729390 - 1. assign V927704 = V729390 - 1. assign V224298 = V927704 - 1. assign V685805 = V083800 + 1. assign V147540 = V554023 - 1. assign V608643 = V557665 + 1. assign V856974 = V209865. assign V978286 = V373305 + 1. assign V271187 = V556508. assign V224862 = V680267 - 1. assign V130184 = V202255. assign V523914 = V965025. assign V398127 = V680267 - 1. assign V537003 = V816685. assign V917458 = V927704 + 1. assign V230592 = V917458. assign V030453 = V917458 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V729390 = V083800. assign V215442 = V171041 + 1. assign V680267 = V554023 - 1. assign V171041 = V988969 - 1. assign V325231 = V551548 - 1. assign V621767 = V509229 - 1. assign V526174 = V120957. assign V315088 = V209865 - 1. assign V638434 = V130184 + 1. assign V007688 = V957689 + 1. assign V441438 = V957689. assign V375072 = V729390 + 1. assign V391995 = V209865 - 1. assign V977837 = V216202 + 1. assign V509229 = V988969. assign V769842 = V209865 - 1. assign V731254 = V302594 - 1. assign V285374 = V083800 + 1. assign V415764 = V769842 + 1. assign V924093 = V176533 + 1. assign V032678 = V917458 - 1. assign V096949 = V429861 - 1. assign V816685 = V375072 - 1. assign V302414 = V554023 + 1. assign V332699 = V202255. assign V429861 = V202255. assign V537295 = V202255 - 1. assign V830177 = V853632 + 1. assign V403679 = V509229. assign V384669 = V729390 + 1. assign V737235 = V349110 - 1. assign V120957 = V230592. assign V557665 = V373305. assign V421822 = V554023 - 1. assign V901630 = V332699. assign V413353 = V027600 - 1. assign V027600 = 1. assign V125306 = V509229 + 1. assign V556508 = V373305. assign V551548 = V978286. assign V302594 = V230592 + 1. assign V424368 = V096949 + 1. assign V354643 = V638434 - 1. assign V225902 = V147540. assign V933843 = V403679. assign V686476 = V866620 - 1. assign V499181 = V531401 - 1. assign V866620 = V373305 - 1. assign V965025 = V551548. assign V777476 = V680267. assign V209865 = V988969 + 1. assign V554023 = V927704 - 1. assign V768939 = V130184. assign V083800 = V988969 - 1. assign V853632 = V384669. assign V531401 = V957689 - 1. assign V202255 = V082000 + 1. assign V082000 = V988969 - 1. assign V063059 = V965025 - 1. assign V963925 = V215442 - 1. assign V776914 = V917458 + 1. assign V216202 = V171041. assign V485749 = V988969 + 1. assign V217909 = V225902 - 1. assign V957689 = V082000 - 1. assign V785722 = V686476. assign V176533 = V554023 + 1. assign V373305 = V209865 + 1. assign V633807 = V230592 - 1. assign V349110 = V729390 - 1. assign V927704 = V729390 - 1. assign V224298 = V927704 - 1. assign V685805 = V083800 + 1. assign V147540 = V554023 - 1. assign V608643 = V557665 + 1. assign V856974 = V209865. assign V978286 = V373305 + 1. assign V271187 = V556508. assign V224862 = V680267 - 1. assign V130184 = V202255. assign V523914 = V965025. assign V398127 = V680267 - 1. assign V537003 = V816685. assign V917458 = V927704 + 1. assign V230592 = V917458. assign V030453 = V917458 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV027600 = 1;\n\nFrom these direct assignment(s), we have: \nV413353 = V027600 - 1 = 1 - 1 =0;\nNo other variables can be derived from V413353;\nNo other variables can be derived from V027600;\n\nNow we have done all the calculations. Derived variables are:\nV027600 = 1;\nV413353 = 0;\n\nNow we have finished this problem. ANSWER:\nV413353\n", "role": "assistant" } ]

[ "V053620", "V594058" ]

[ { "content": "<context>\nassign V872706 = V562852 + 1. assign V107128 = V812319 - 1. assign V286169 = V561488 - 1. assign V459808 = V393277 - 1. assign V136903 = V462654 - 1. assign V393277 = V462654. assign V515572 = V462654 - 1. assign V739732 = V299066 - 1. assign V304902 = V624359 - 1. assign V859906 = V393277 - 1. assign V916311 = V753383 + 1. assign V531099 = V513264 + 1. assign V835902 = V866401. assign V990111 = V319389. assign V734159 = V136903. assign V559419 = V119102. assign V594058 = V053620. assign V883320 = V958324. assign V770415 = V136903. assign V653381 = V562852 - 1. assign V070683 = V467736. assign V779971 = V299066 + 1. assign V486242 = V813592 - 1. assign V119102 = V136903 + 1. assign V461286 = V456104 - 1. assign V624359 = V462654. assign V848714 = V476711 + 1. assign V462654 = V813592 - 1. assign V753383 = V393277. assign V821891 = V531099 - 1. assign V488097 = V271227 + 1. assign V496843 = V561488 - 1. assign V560597 = V872706 - 1. assign V750029 = V271227. assign V077738 = V499038. assign V093342 = V675047 - 1. assign V456104 = V750029 + 1. assign V467736 = V313223 + 1. assign V141403 = V779971. assign V562852 = V299066 - 1. assign V330512 = V287330 - 1. assign V388221 = V287330 + 1. assign V498469 = V330512. assign V383823 = V330512. assign V384573 = V859906 - 1. assign V584783 = V299066. assign V184418 = V141403. assign V299066 = V313223. assign V289524 = V405888 - 1. assign V812319 = V363672 + 1. assign V630946 = V393277. assign V675047 = V531099. assign V328383 = V094710. assign V587137 = V319389 + 1. assign V094710 = V750029 - 1. assign V401130 = V561488 - 1. assign V089160 = V488097 - 1. assign V160609 = V916311 - 1. assign V940806 = V750029 - 1. assign V363672 = V750029 + 1. assign V239479 = V675047. assign V476711 = V299066 + 1. assign V181067 = V990111. assign V953285 = V770415 - 1. assign V866401 = V624359. assign V405888 = V299066 - 1. assign V373745 = V835902. assign V311971 = V289524 + 1. assign V319389 = V513264. assign V679208 = V136903 - 1. assign V553029 = V953285 - 1. assign V857169 = V779971. assign V076745 = V953285. assign V781534 = V812319 - 1. assign V683665 = V675047. assign V053620 = 1. assign V958324 = V456104. assign V271227 = V813592. assign V313223 = V393277 - 1. assign V581793 = V813592 - 1. assign V499038 = V750029 + 1. assign V513264 = V299066. assign V670284 = V384573 - 1. assign V287330 = V750029 - 1. assign V303178 = V813592 - 1. assign V561488 = V271227 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V872706 = V562852 + 1. assign V107128 = V812319 - 1. assign V286169 = V561488 - 1. assign V459808 = V393277 - 1. assign V136903 = V462654 - 1. assign V393277 = V462654. assign V515572 = V462654 - 1. assign V739732 = V299066 - 1. assign V304902 = V624359 - 1. assign V859906 = V393277 - 1. assign V916311 = V753383 + 1. assign V531099 = V513264 + 1. assign V835902 = V866401. assign V990111 = V319389. assign V734159 = V136903. assign V559419 = V119102. assign V594058 = V053620. assign V883320 = V958324. assign V770415 = V136903. assign V653381 = V562852 - 1. assign V070683 = V467736. assign V779971 = V299066 + 1. assign V486242 = V813592 - 1. assign V119102 = V136903 + 1. assign V461286 = V456104 - 1. assign V624359 = V462654. assign V848714 = V476711 + 1. assign V462654 = V813592 - 1. assign V753383 = V393277. assign V821891 = V531099 - 1. assign V488097 = V271227 + 1. assign V496843 = V561488 - 1. assign V560597 = V872706 - 1. assign V750029 = V271227. assign V077738 = V499038. assign V093342 = V675047 - 1. assign V456104 = V750029 + 1. assign V467736 = V313223 + 1. assign V141403 = V779971. assign V562852 = V299066 - 1. assign V330512 = V287330 - 1. assign V388221 = V287330 + 1. assign V498469 = V330512. assign V383823 = V330512. assign V384573 = V859906 - 1. assign V584783 = V299066. assign V184418 = V141403. assign V299066 = V313223. assign V289524 = V405888 - 1. assign V812319 = V363672 + 1. assign V630946 = V393277. assign V675047 = V531099. assign V328383 = V094710. assign V587137 = V319389 + 1. assign V094710 = V750029 - 1. assign V401130 = V561488 - 1. assign V089160 = V488097 - 1. assign V160609 = V916311 - 1. assign V940806 = V750029 - 1. assign V363672 = V750029 + 1. assign V239479 = V675047. assign V476711 = V299066 + 1. assign V181067 = V990111. assign V953285 = V770415 - 1. assign V866401 = V624359. assign V405888 = V299066 - 1. assign V373745 = V835902. assign V311971 = V289524 + 1. assign V319389 = V513264. assign V679208 = V136903 - 1. assign V553029 = V953285 - 1. assign V857169 = V779971. assign V076745 = V953285. assign V781534 = V812319 - 1. assign V683665 = V675047. assign V053620 = 1. assign V958324 = V456104. assign V271227 = V813592. assign V313223 = V393277 - 1. assign V581793 = V813592 - 1. assign V499038 = V750029 + 1. assign V513264 = V299066. assign V670284 = V384573 - 1. assign V287330 = V750029 - 1. assign V303178 = V813592 - 1. assign V561488 = V271227 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV053620 = 1;\n\nFrom these direct assignment(s), we have: \nV594058 = V053620 = 1;\nNo other variables can be derived from V594058;\nNo other variables can be derived from V053620;\n\nNow we have done all the calculations. Derived variables are:\nV053620 = 1;\nV594058 = 1;\n\nNow we have finished this problem. ANSWER:\nV053620, V594058\n", "role": "assistant" } ]

[ "V457974" ]

[ { "content": "<context>\nassign V665175 = V660922 + 1. assign V033363 = V810984 - 1. assign V655976 = V635328 + 1. assign V201871 = V192625 + 1. assign V952669 = V096848 + 1. assign V383476 = V644656 + 1. assign V334036 = V011413 - 1. assign V745050 = V987524 - 1. assign V644656 = V660922. assign V742235 = V334036 - 1. assign V463208 = V644656 - 1. assign V282507 = V665175. assign V192625 = V466108. assign V467269 = V810763 + 1. assign V810763 = V302744. assign V635328 = V372701 - 1. assign V541041 = V457974 + 1. assign V357618 = V810984 + 1. assign V158369 = V050527 - 1. assign V011413 = V660922 + 1. assign V466108 = V660922. assign V563792 = V707953 + 1. assign V987524 = V644656. assign V189180 = V183943 - 1. assign V572169 = V952669 - 1. assign V714945 = V572050. assign V372701 = V644656 + 1. assign V312009 = V660922. assign V276404 = V987524. assign V938659 = V011413 - 1. assign V189381 = V707953. assign V810984 = V665175 + 1. assign V854344 = V665175 + 1. assign V692072 = V813713 + 1. assign V785756 = V235298 - 1. assign V618368 = V665175. assign V457974 = 1. assign V813713 = V372701. assign V476459 = V158369 + 1. assign V989730 = V336090 - 1. assign V427913 = V707953 - 1. assign V048949 = V306183 - 1. assign V077528 = V291644. assign V816277 = V291644 - 1. assign V002446 = V561971 - 1. assign V149149 = V282507 - 1. assign V183943 = V466108 - 1. assign V744482 = V665175 + 1. assign V050527 = V291644 + 1. assign V849287 = V952669 - 1. assign V241901 = V302744 + 1. assign V235298 = V096848 - 1. assign V520780 = V987524 - 1. assign V725714 = V788818 + 1. assign V291644 = V987524 + 1. assign V715974 = V644656 - 1. assign V050379 = V635328. assign V788818 = V813713 - 1. assign V456048 = V854344 + 1. assign V582889 = V158369 - 1. assign V096848 = V466108. assign V040975 = V692072 + 1. assign V562329 = V312009. assign V133279 = V192625. assign V103784 = V859844 - 1. assign V302744 = V372701. assign V895555 = V463208 + 1. assign V030452 = V810763 + 1. assign V218496 = V938659 - 1. assign V561971 = V952669 - 1. assign V908164 = V665175 - 1. assign V669990 = V745050. assign V860007 = V096848. assign V097627 = V218496. assign V336090 = V096848 + 1. assign V426754 = V810763. assign V306183 = V987524 - 1. assign V769573 = V692072 - 1. assign V751254 = V030452 - 1. assign V906766 = V742235. assign V801307 = V466108 - 1. assign V104221 = V218496. assign V050645 = V561971. assign V859844 = V745050. assign V572050 = V276404. assign V707953 = V372701.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V665175 = V660922 + 1. assign V033363 = V810984 - 1. assign V655976 = V635328 + 1. assign V201871 = V192625 + 1. assign V952669 = V096848 + 1. assign V383476 = V644656 + 1. assign V334036 = V011413 - 1. assign V745050 = V987524 - 1. assign V644656 = V660922. assign V742235 = V334036 - 1. assign V463208 = V644656 - 1. assign V282507 = V665175. assign V192625 = V466108. assign V467269 = V810763 + 1. assign V810763 = V302744. assign V635328 = V372701 - 1. assign V541041 = V457974 + 1. assign V357618 = V810984 + 1. assign V158369 = V050527 - 1. assign V011413 = V660922 + 1. assign V466108 = V660922. assign V563792 = V707953 + 1. assign V987524 = V644656. assign V189180 = V183943 - 1. assign V572169 = V952669 - 1. assign V714945 = V572050. assign V372701 = V644656 + 1. assign V312009 = V660922. assign V276404 = V987524. assign V938659 = V011413 - 1. assign V189381 = V707953. assign V810984 = V665175 + 1. assign V854344 = V665175 + 1. assign V692072 = V813713 + 1. assign V785756 = V235298 - 1. assign V618368 = V665175. assign V457974 = 1. assign V813713 = V372701. assign V476459 = V158369 + 1. assign V989730 = V336090 - 1. assign V427913 = V707953 - 1. assign V048949 = V306183 - 1. assign V077528 = V291644. assign V816277 = V291644 - 1. assign V002446 = V561971 - 1. assign V149149 = V282507 - 1. assign V183943 = V466108 - 1. assign V744482 = V665175 + 1. assign V050527 = V291644 + 1. assign V849287 = V952669 - 1. assign V241901 = V302744 + 1. assign V235298 = V096848 - 1. assign V520780 = V987524 - 1. assign V725714 = V788818 + 1. assign V291644 = V987524 + 1. assign V715974 = V644656 - 1. assign V050379 = V635328. assign V788818 = V813713 - 1. assign V456048 = V854344 + 1. assign V582889 = V158369 - 1. assign V096848 = V466108. assign V040975 = V692072 + 1. assign V562329 = V312009. assign V133279 = V192625. assign V103784 = V859844 - 1. assign V302744 = V372701. assign V895555 = V463208 + 1. assign V030452 = V810763 + 1. assign V218496 = V938659 - 1. assign V561971 = V952669 - 1. assign V908164 = V665175 - 1. assign V669990 = V745050. assign V860007 = V096848. assign V097627 = V218496. assign V336090 = V096848 + 1. assign V426754 = V810763. assign V306183 = V987524 - 1. assign V769573 = V692072 - 1. assign V751254 = V030452 - 1. assign V906766 = V742235. assign V801307 = V466108 - 1. assign V104221 = V218496. assign V050645 = V561971. assign V859844 = V745050. assign V572050 = V276404. assign V707953 = V372701.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV457974 = 1;\n\nFrom these direct assignment(s), we have: \nV541041 = V457974 + 1 = 1 + 1 =2;\nNo other variables can be derived from V541041;\nNo other variables can be derived from V457974;\n\nNow we have done all the calculations. Derived variables are:\nV457974 = 1;\nV541041 = 2;\n\nNow we have finished this problem. ANSWER:\nV457974\n", "role": "assistant" } ]

[ "V588817" ]

[ { "content": "<context>\nassign V073852 = V541264 + 1. assign V108735 = V687430 + 1. assign V545971 = V018059 - 1. assign V630780 = V313461. assign V034493 = V142599 - 1. assign V180507 = V902243 + 1. assign V689156 = V700520 - 1. assign V320735 = V018059. assign V240264 = V053012. assign V028810 = V152691 + 1. assign V215375 = V660523 - 1. assign V930966 = V398479 + 1. assign V113281 = V416379. assign V096586 = V687430 + 1. assign V370008 = V624409. assign V081433 = V802895 + 1. assign V559084 = V215375 - 1. assign V748438 = V930966 + 1. assign V158462 = V018059. assign V202170 = V081433. assign V803886 = V372469 + 1. assign V039231 = V720278. assign V563912 = V018059 + 1. assign V750755 = V674616 + 1. assign V720278 = V930966 - 1. assign V713629 = V416379 + 1. assign V933098 = V215375 - 1. assign V660523 = V624409 + 1. assign V152691 = V559084 + 1. assign V700520 = V398479 - 1. assign V196384 = V398479. assign V624409 = V183405 + 1. assign V929779 = V158462. assign V813502 = V541264. assign V492034 = V687430 - 1. assign V053012 = V158462. assign V325815 = V398479. assign V142599 = V398479. assign V520960 = V416379. assign V781872 = V372469 - 1. assign V674616 = V758542 + 1. assign V965460 = V370008 - 1. assign V504895 = V180507 - 1. assign V803442 = V159820 - 1. assign V152657 = V689156 - 1. assign V166237 = V869554 - 1. assign V902243 = V803886 - 1. assign V695670 = V180507 - 1. assign V031763 = V053012 + 1. assign V687430 = V930966. assign V142323 = V520960. assign V436282 = V902243 + 1. assign V129616 = V113281 - 1. assign V924498 = V018059 + 1. assign V546259 = V215375 - 1. assign V711326 = V142599 + 1. assign V372469 = V713629. assign V269150 = V053012. assign V309698 = V053012 - 1. assign V086139 = V700520. assign V984166 = V370008. assign V725426 = V630780 - 1. assign V131184 = V545971. assign V183405 = V416379. assign V313461 = V748438 + 1. assign V758542 = V545971. assign V391443 = V902243. assign V541264 = V660523 - 1. assign V920054 = V930966. assign V869554 = V018059 + 1. assign V279760 = V920054. assign V416379 = V398479 - 1. assign V496530 = V924498. assign V996614 = V152691 - 1. assign V255908 = V854804 + 1. assign V018059 = V142599 + 1. assign V312655 = V053012 - 1. assign V854804 = V624409. assign V779338 = V700520. assign V643345 = V320735 - 1. assign V588817 = V758667 + 1. assign V807696 = V166237 - 1. assign V159820 = V370008 - 1. assign V404824 = V624409 - 1. assign V802895 = V183405. assign V758667 = 5.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V073852 = V541264 + 1. assign V108735 = V687430 + 1. assign V545971 = V018059 - 1. assign V630780 = V313461. assign V034493 = V142599 - 1. assign V180507 = V902243 + 1. assign V689156 = V700520 - 1. assign V320735 = V018059. assign V240264 = V053012. assign V028810 = V152691 + 1. assign V215375 = V660523 - 1. assign V930966 = V398479 + 1. assign V113281 = V416379. assign V096586 = V687430 + 1. assign V370008 = V624409. assign V081433 = V802895 + 1. assign V559084 = V215375 - 1. assign V748438 = V930966 + 1. assign V158462 = V018059. assign V202170 = V081433. assign V803886 = V372469 + 1. assign V039231 = V720278. assign V563912 = V018059 + 1. assign V750755 = V674616 + 1. assign V720278 = V930966 - 1. assign V713629 = V416379 + 1. assign V933098 = V215375 - 1. assign V660523 = V624409 + 1. assign V152691 = V559084 + 1. assign V700520 = V398479 - 1. assign V196384 = V398479. assign V624409 = V183405 + 1. assign V929779 = V158462. assign V813502 = V541264. assign V492034 = V687430 - 1. assign V053012 = V158462. assign V325815 = V398479. assign V142599 = V398479. assign V520960 = V416379. assign V781872 = V372469 - 1. assign V674616 = V758542 + 1. assign V965460 = V370008 - 1. assign V504895 = V180507 - 1. assign V803442 = V159820 - 1. assign V152657 = V689156 - 1. assign V166237 = V869554 - 1. assign V902243 = V803886 - 1. assign V695670 = V180507 - 1. assign V031763 = V053012 + 1. assign V687430 = V930966. assign V142323 = V520960. assign V436282 = V902243 + 1. assign V129616 = V113281 - 1. assign V924498 = V018059 + 1. assign V546259 = V215375 - 1. assign V711326 = V142599 + 1. assign V372469 = V713629. assign V269150 = V053012. assign V309698 = V053012 - 1. assign V086139 = V700520. assign V984166 = V370008. assign V725426 = V630780 - 1. assign V131184 = V545971. assign V183405 = V416379. assign V313461 = V748438 + 1. assign V758542 = V545971. assign V391443 = V902243. assign V541264 = V660523 - 1. assign V920054 = V930966. assign V869554 = V018059 + 1. assign V279760 = V920054. assign V416379 = V398479 - 1. assign V496530 = V924498. assign V996614 = V152691 - 1. assign V255908 = V854804 + 1. assign V018059 = V142599 + 1. assign V312655 = V053012 - 1. assign V854804 = V624409. assign V779338 = V700520. assign V643345 = V320735 - 1. assign V588817 = V758667 + 1. assign V807696 = V166237 - 1. assign V159820 = V370008 - 1. assign V404824 = V624409 - 1. assign V802895 = V183405. assign V758667 = 5.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV758667 = 5;\n\nFrom these direct assignment(s), we have: \nV588817 = V758667 + 1 = 5 + 1 =6;\nNo other variables can be derived from V588817;\nNo other variables can be derived from V758667;\n\nNow we have done all the calculations. Derived variables are:\nV758667 = 5;\nV588817 = 6;\n\nNow we have finished this problem. ANSWER:\nV588817\n", "role": "assistant" } ]

[ "V144618" ]

[ { "content": "<context>\nassign V470176 = V741617 + 1. assign V185054 = V741617 - 1. assign V535108 = V667886. assign V708616 = V913379 - 1. assign V105481 = V408353 - 1. assign V344597 = V667886 - 1. assign V490199 = V655500 + 1. assign V765161 = V004223. assign V545095 = V679716 - 1. assign V912197 = V679716 + 1. assign V591145 = V979638 + 1. assign V084898 = V329118 - 1. assign V691193 = V721392 + 1. assign V923871 = V344597. assign V536764 = V591145. assign V144618 = 3. assign V130049 = V103047 + 1. assign V913379 = V344597 + 1. assign V729307 = V408353. assign V597855 = V912881 + 1. assign V979638 = V765161 + 1. assign V676895 = V553740 - 1. assign V994560 = V031620. assign V408353 = V946921. assign V409235 = V679716 - 1. assign V023266 = V322240. assign V311307 = V409235 + 1. assign V103047 = V912881. assign V665054 = V553740 + 1. assign V416449 = V912881 + 1. assign V042670 = V332388 + 1. assign V337250 = V130049 + 1. assign V040165 = V597855. assign V971990 = V912881. assign V255215 = V004307. assign V031620 = V416449 - 1. assign V788873 = V668140 - 1. assign V655500 = V783785 - 1. assign V748904 = V667886 + 1. assign V702135 = V344597 - 1. assign V615749 = V912881 - 1. assign V680401 = V721392. assign V797136 = V535108 - 1. assign V912881 = V332388 - 1. assign V701170 = V655500. assign V124196 = V535108 + 1. assign V604366 = V765161 - 1. assign V909286 = V946921 + 1. assign V643533 = V023266 + 1. assign V004307 = V615749. assign V955796 = V144618 + 1. assign V977288 = V332388 + 1. assign V235054 = V503837 - 1. assign V313833 = V490199. assign V004223 = V553740. assign V735175 = V322240 + 1. assign V928406 = V732169 - 1. assign V084515 = V103047 + 1. assign V650418 = V912881 + 1. assign V329118 = V490199 - 1. assign V611942 = V731299. assign V831242 = V084515. assign V503837 = V765161 + 1. assign V369470 = V004307 - 1. assign V113304 = V679716. assign V783785 = V084515 - 1. assign V035299 = V344597 - 1. assign V553740 = V971990 + 1. assign V679716 = V004223 + 1. assign V522099 = V701170 - 1. assign V885944 = V503837. assign V946921 = V084515 - 1. assign V152699 = V035299 - 1. assign V294286 = V113304. assign V556664 = V735175. assign V293541 = V665054 + 1. assign V249956 = V313833 - 1. assign V668140 = V023266. assign V667886 = V103047 + 1. assign V322240 = V797136 - 1. assign V732169 = V416449 + 1. assign V721392 = V416449 + 1. assign V731299 = V344597 - 1. assign V741617 = V667886 + 1. assign V147506 = V004307. assign V555795 = V665054 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V470176 = V741617 + 1. assign V185054 = V741617 - 1. assign V535108 = V667886. assign V708616 = V913379 - 1. assign V105481 = V408353 - 1. assign V344597 = V667886 - 1. assign V490199 = V655500 + 1. assign V765161 = V004223. assign V545095 = V679716 - 1. assign V912197 = V679716 + 1. assign V591145 = V979638 + 1. assign V084898 = V329118 - 1. assign V691193 = V721392 + 1. assign V923871 = V344597. assign V536764 = V591145. assign V144618 = 3. assign V130049 = V103047 + 1. assign V913379 = V344597 + 1. assign V729307 = V408353. assign V597855 = V912881 + 1. assign V979638 = V765161 + 1. assign V676895 = V553740 - 1. assign V994560 = V031620. assign V408353 = V946921. assign V409235 = V679716 - 1. assign V023266 = V322240. assign V311307 = V409235 + 1. assign V103047 = V912881. assign V665054 = V553740 + 1. assign V416449 = V912881 + 1. assign V042670 = V332388 + 1. assign V337250 = V130049 + 1. assign V040165 = V597855. assign V971990 = V912881. assign V255215 = V004307. assign V031620 = V416449 - 1. assign V788873 = V668140 - 1. assign V655500 = V783785 - 1. assign V748904 = V667886 + 1. assign V702135 = V344597 - 1. assign V615749 = V912881 - 1. assign V680401 = V721392. assign V797136 = V535108 - 1. assign V912881 = V332388 - 1. assign V701170 = V655500. assign V124196 = V535108 + 1. assign V604366 = V765161 - 1. assign V909286 = V946921 + 1. assign V643533 = V023266 + 1. assign V004307 = V615749. assign V955796 = V144618 + 1. assign V977288 = V332388 + 1. assign V235054 = V503837 - 1. assign V313833 = V490199. assign V004223 = V553740. assign V735175 = V322240 + 1. assign V928406 = V732169 - 1. assign V084515 = V103047 + 1. assign V650418 = V912881 + 1. assign V329118 = V490199 - 1. assign V611942 = V731299. assign V831242 = V084515. assign V503837 = V765161 + 1. assign V369470 = V004307 - 1. assign V113304 = V679716. assign V783785 = V084515 - 1. assign V035299 = V344597 - 1. assign V553740 = V971990 + 1. assign V679716 = V004223 + 1. assign V522099 = V701170 - 1. assign V885944 = V503837. assign V946921 = V084515 - 1. assign V152699 = V035299 - 1. assign V294286 = V113304. assign V556664 = V735175. assign V293541 = V665054 + 1. assign V249956 = V313833 - 1. assign V668140 = V023266. assign V667886 = V103047 + 1. assign V322240 = V797136 - 1. assign V732169 = V416449 + 1. assign V721392 = V416449 + 1. assign V731299 = V344597 - 1. assign V741617 = V667886 + 1. assign V147506 = V004307. assign V555795 = V665054 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV144618 = 3;\n\nFrom these direct assignment(s), we have: \nV955796 = V144618 + 1 = 3 + 1 =4;\nNo other variables can be derived from V955796;\nNo other variables can be derived from V144618;\n\nNow we have done all the calculations. Derived variables are:\nV144618 = 3;\nV955796 = 4;\n\nNow we have finished this problem. ANSWER:\nV144618\n", "role": "assistant" } ]

[ "V357722" ]

[ { "content": "<context>\nassign V190551 = V398341. assign V545875 = V193959. assign V901030 = V308468 + 1. assign V688954 = V371434 - 1. assign V263648 = V459792. assign V075396 = V378499 - 1. assign V933540 = V187411 - 1. assign V995062 = V220076. assign V520753 = V104795 - 1. assign V371434 = V703383 + 1. assign V375695 = V494495 - 1. assign V951301 = V087312 + 1. assign V778615 = V570925 + 1. assign V897700 = V097367 + 1. assign V187392 = V555407. assign V357722 = V997782 - 1. assign V894526 = V896522 - 1. assign V039677 = V703383. assign V703383 = V263648 - 1. assign V721260 = V263648 - 1. assign V127636 = V796009. assign V426381 = V040956 - 1. assign V648923 = V187411 + 1. assign V378499 = V582461 - 1. assign V589098 = V017028. assign V555407 = V087312 + 1. assign V054730 = V975942 - 1. assign V111985 = V127636. assign V673001 = V173018. assign V072551 = V967552. assign V896522 = V173018 + 1. assign V978201 = V187411 - 1. assign V666534 = V513137. assign V015251 = V901030. assign V437133 = V054730. assign V469142 = V263648 + 1. assign V928334 = V703383 - 1. assign V184625 = V087312 + 1. assign V087312 = V187411 - 1. assign V688989 = V184625 + 1. assign V617049 = V263648. assign V124492 = V570925 + 1. assign V335369 = V109067 - 1. assign V308468 = V523266 + 1. assign V385217 = V097367 - 1. assign V797634 = V173018 - 1. assign V097367 = V989661. assign V306055 = V582461 - 1. assign V485538 = V124492. assign V930449 = V087312 - 1. assign V345588 = V263648. assign V104795 = V459792 - 1. assign V109067 = V617049. assign V173018 = V570925 + 1. assign V796009 = V469142 - 1. assign V812880 = V555407. assign V220076 = V523266 + 1. assign V398341 = V109067 + 1. assign V017028 = V375695 + 1. assign V967552 = V184625 + 1. assign V901740 = V928334. assign V521655 = V015251 - 1. assign V979447 = V054730. assign V281339 = V989661. assign V582461 = V494495 - 1. assign V541096 = V371434 - 1. assign V040956 = V459792. assign V741609 = V104795 + 1. assign V032851 = V978201 - 1. assign V494495 = V459792 - 1. assign V193959 = V796009 + 1. assign V997782 = 9. assign V975942 = V220076 - 1. assign V989661 = V263648 - 1. assign V570925 = V703383 - 1. assign V241843 = V109067. assign V936275 = V796009. assign V959712 = V040956. assign V725289 = V375695 - 1. assign V345041 = V513137. assign V049571 = V688989 + 1. assign V203720 = V778615. assign V513137 = V187392 + 1. assign V187411 = V459792 + 1. assign V523266 = V375695 + 1. assign V007474 = V375695 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V190551 = V398341. assign V545875 = V193959. assign V901030 = V308468 + 1. assign V688954 = V371434 - 1. assign V263648 = V459792. assign V075396 = V378499 - 1. assign V933540 = V187411 - 1. assign V995062 = V220076. assign V520753 = V104795 - 1. assign V371434 = V703383 + 1. assign V375695 = V494495 - 1. assign V951301 = V087312 + 1. assign V778615 = V570925 + 1. assign V897700 = V097367 + 1. assign V187392 = V555407. assign V357722 = V997782 - 1. assign V894526 = V896522 - 1. assign V039677 = V703383. assign V703383 = V263648 - 1. assign V721260 = V263648 - 1. assign V127636 = V796009. assign V426381 = V040956 - 1. assign V648923 = V187411 + 1. assign V378499 = V582461 - 1. assign V589098 = V017028. assign V555407 = V087312 + 1. assign V054730 = V975942 - 1. assign V111985 = V127636. assign V673001 = V173018. assign V072551 = V967552. assign V896522 = V173018 + 1. assign V978201 = V187411 - 1. assign V666534 = V513137. assign V015251 = V901030. assign V437133 = V054730. assign V469142 = V263648 + 1. assign V928334 = V703383 - 1. assign V184625 = V087312 + 1. assign V087312 = V187411 - 1. assign V688989 = V184625 + 1. assign V617049 = V263648. assign V124492 = V570925 + 1. assign V335369 = V109067 - 1. assign V308468 = V523266 + 1. assign V385217 = V097367 - 1. assign V797634 = V173018 - 1. assign V097367 = V989661. assign V306055 = V582461 - 1. assign V485538 = V124492. assign V930449 = V087312 - 1. assign V345588 = V263648. assign V104795 = V459792 - 1. assign V109067 = V617049. assign V173018 = V570925 + 1. assign V796009 = V469142 - 1. assign V812880 = V555407. assign V220076 = V523266 + 1. assign V398341 = V109067 + 1. assign V017028 = V375695 + 1. assign V967552 = V184625 + 1. assign V901740 = V928334. assign V521655 = V015251 - 1. assign V979447 = V054730. assign V281339 = V989661. assign V582461 = V494495 - 1. assign V541096 = V371434 - 1. assign V040956 = V459792. assign V741609 = V104795 + 1. assign V032851 = V978201 - 1. assign V494495 = V459792 - 1. assign V193959 = V796009 + 1. assign V997782 = 9. assign V975942 = V220076 - 1. assign V989661 = V263648 - 1. assign V570925 = V703383 - 1. assign V241843 = V109067. assign V936275 = V796009. assign V959712 = V040956. assign V725289 = V375695 - 1. assign V345041 = V513137. assign V049571 = V688989 + 1. assign V203720 = V778615. assign V513137 = V187392 + 1. assign V187411 = V459792 + 1. assign V523266 = V375695 + 1. assign V007474 = V375695 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV997782 = 9;\n\nFrom these direct assignment(s), we have: \nV357722 = V997782 - 1 = 9 - 1 =8;\nNo other variables can be derived from V357722;\nNo other variables can be derived from V997782;\n\nNow we have done all the calculations. Derived variables are:\nV997782 = 9;\nV357722 = 8;\n\nNow we have finished this problem. ANSWER:\nV357722\n", "role": "assistant" } ]

[ "V594704", "V025411" ]

[ { "content": "<context>\nassign V178339 = V820812. assign V734832 = V466326 + 1. assign V826374 = V539571 + 1. assign V776476 = V117655 - 1. assign V690272 = V173378. assign V638899 = V834495 + 1. assign V447673 = V994508 + 1. assign V821650 = V663312. assign V837488 = V760894. assign V568311 = V347435. assign V535436 = V552096 + 1. assign V886999 = V539571 + 1. assign V932847 = V910845 + 1. assign V205016 = V982928 + 1. assign V526965 = V169401. assign V938089 = V820812. assign V824410 = V826374 + 1. assign V288973 = V910845 + 1. assign V611426 = V178339. assign V994508 = V234658 - 1. assign V550619 = V834495 - 1. assign V513766 = V119948 + 1. assign V754110 = V776476. assign V621893 = V173378. assign V062925 = V910845. assign V405191 = V513766. assign V287506 = V583311. assign V982928 = V173378 + 1. assign V980540 = V275478 - 1. assign V648979 = V347435 - 1. assign V961621 = V978128 - 1. assign V562985 = V621893 + 1. assign V265192 = V452050 - 1. assign V838386 = V826374. assign V763498 = V119948 - 1. assign V829373 = V249747 - 1. assign V793064 = V871729. assign V313132 = V513766 + 1. assign V111507 = V754110. assign V663312 = V117655. assign V889054 = V062925 - 1. assign V941639 = V718761. assign V820812 = V886999 - 1. assign V347435 = V234658 + 1. assign V315744 = V234658 + 1. assign V673720 = V265192. assign V583311 = V865339. assign V613984 = V419166 - 1. assign V643131 = V776476. assign V025411 = V594704. assign V234658 = V117655 - 1. assign V972500 = V205016. assign V324651 = V513766 + 1. assign V910845 = V994508 + 1. assign V662872 = V980540 + 1. assign V136966 = V205016. assign V117655 = V173378 - 1. assign V865339 = V347435 + 1. assign V748559 = V526965. assign V698545 = V826374. assign V760894 = V776476. assign V871729 = V826374. assign V648491 = V648979. assign V834495 = V327448 + 1. assign V275478 = V820812 + 1. assign V234862 = V119948 - 1. assign V419166 = V840207. assign V840207 = V234658. assign V633328 = V821650 + 1. assign V640379 = V419166 - 1. assign V594704 = 8. assign V813753 = V763498. assign V718761 = V234658 + 1. assign V461942 = V663312 - 1. assign V387234 = V313132. assign V978128 = V419166 + 1. assign V552096 = V249747 - 1. assign V147214 = V287506 + 1. assign V452050 = V826374 + 1. assign V173378 = V539571. assign V327448 = V117655 - 1. assign V169401 = V117655 - 1. assign V466326 = V552096 - 1. assign V947448 = V552096. assign V119948 = V234658 + 1. assign V249747 = V718761 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V178339 = V820812. assign V734832 = V466326 + 1. assign V826374 = V539571 + 1. assign V776476 = V117655 - 1. assign V690272 = V173378. assign V638899 = V834495 + 1. assign V447673 = V994508 + 1. assign V821650 = V663312. assign V837488 = V760894. assign V568311 = V347435. assign V535436 = V552096 + 1. assign V886999 = V539571 + 1. assign V932847 = V910845 + 1. assign V205016 = V982928 + 1. assign V526965 = V169401. assign V938089 = V820812. assign V824410 = V826374 + 1. assign V288973 = V910845 + 1. assign V611426 = V178339. assign V994508 = V234658 - 1. assign V550619 = V834495 - 1. assign V513766 = V119948 + 1. assign V754110 = V776476. assign V621893 = V173378. assign V062925 = V910845. assign V405191 = V513766. assign V287506 = V583311. assign V982928 = V173378 + 1. assign V980540 = V275478 - 1. assign V648979 = V347435 - 1. assign V961621 = V978128 - 1. assign V562985 = V621893 + 1. assign V265192 = V452050 - 1. assign V838386 = V826374. assign V763498 = V119948 - 1. assign V829373 = V249747 - 1. assign V793064 = V871729. assign V313132 = V513766 + 1. assign V111507 = V754110. assign V663312 = V117655. assign V889054 = V062925 - 1. assign V941639 = V718761. assign V820812 = V886999 - 1. assign V347435 = V234658 + 1. assign V315744 = V234658 + 1. assign V673720 = V265192. assign V583311 = V865339. assign V613984 = V419166 - 1. assign V643131 = V776476. assign V025411 = V594704. assign V234658 = V117655 - 1. assign V972500 = V205016. assign V324651 = V513766 + 1. assign V910845 = V994508 + 1. assign V662872 = V980540 + 1. assign V136966 = V205016. assign V117655 = V173378 - 1. assign V865339 = V347435 + 1. assign V748559 = V526965. assign V698545 = V826374. assign V760894 = V776476. assign V871729 = V826374. assign V648491 = V648979. assign V834495 = V327448 + 1. assign V275478 = V820812 + 1. assign V234862 = V119948 - 1. assign V419166 = V840207. assign V840207 = V234658. assign V633328 = V821650 + 1. assign V640379 = V419166 - 1. assign V594704 = 8. assign V813753 = V763498. assign V718761 = V234658 + 1. assign V461942 = V663312 - 1. assign V387234 = V313132. assign V978128 = V419166 + 1. assign V552096 = V249747 - 1. assign V147214 = V287506 + 1. assign V452050 = V826374 + 1. assign V173378 = V539571. assign V327448 = V117655 - 1. assign V169401 = V117655 - 1. assign V466326 = V552096 - 1. assign V947448 = V552096. assign V119948 = V234658 + 1. assign V249747 = V718761 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV594704 = 8;\n\nFrom these direct assignment(s), we have: \nV025411 = V594704 = 8;\nNo other variables can be derived from V025411;\nNo other variables can be derived from V594704;\n\nNow we have done all the calculations. Derived variables are:\nV594704 = 8;\nV025411 = 8;\n\nNow we have finished this problem. ANSWER:\nV594704, V025411\n", "role": "assistant" } ]

[ "V590169" ]

[ { "content": "<context>\nassign V351701 = V270490. assign V724683 = V590169 - 1. assign V172146 = V142503 - 1. assign V709988 = V971289. assign V866224 = V600026 - 1. assign V335584 = V270490. assign V310028 = V424251 - 1. assign V314175 = V953438 - 1. assign V906775 = V280838 - 1. assign V941238 = V477011 - 1. assign V682888 = V172146 + 1. assign V010959 = V809409 + 1. assign V482803 = V915103 - 1. assign V769265 = V809409 - 1. assign V724353 = V167112. assign V286135 = V244109 + 1. assign V262436 = V270490 - 1. assign V605759 = V557707. assign V023578 = V335584. assign V036293 = V277796 - 1. assign V516494 = V995348 - 1. assign V809409 = V810688. assign V994918 = V017259 - 1. assign V544361 = V849940. assign V834027 = V277944 + 1. assign V879485 = V374275 + 1. assign V016101 = V310028 - 1. assign V404548 = V351701 - 1. assign V925981 = V861554. assign V167112 = V075532 - 1. assign V205536 = V351701. assign V389619 = V866224 + 1. assign V903056 = V628869 - 1. assign V810688 = V136703 - 1. assign V004685 = V167112 + 1. assign V374275 = V017944. assign V995348 = V866224 - 1. assign V216572 = V971289. assign V849940 = V424251 - 1. assign V274322 = V016101. assign V567228 = V941238 - 1. assign V861554 = V335584. assign V230606 = V744619 - 1. assign V511058 = V374275. assign V400839 = V424251 - 1. assign V028499 = V143284 - 1. assign V017944 = V262436. assign V136703 = V477011 - 1. assign V882657 = V017259. assign V557707 = V925981. assign V668498 = V516494 - 1. assign V915103 = V941238 - 1. assign V483028 = V600026 + 1. assign V678570 = V205536 + 1. assign V382334 = V270490 - 1. assign V887429 = V799342 - 1. assign V502055 = V085227 - 1. assign V143284 = V310028 + 1. assign V085227 = V244109 + 1. assign V960686 = V866224 - 1. assign V231099 = V270490 - 1. assign V744619 = V216572 + 1. assign V277944 = V143284 - 1. assign V650605 = V953438. assign V953438 = V483028. assign V804294 = V477011. assign V888409 = V136703. assign V244109 = V017259 - 1. assign V628869 = V335584 + 1. assign V955281 = V262436. assign V971289 = V953438 + 1. assign V058489 = V888409. assign V075532 = V600026 + 1. assign V799342 = V075532 - 1. assign V477011 = V483028 + 1. assign V277796 = V075532 - 1. assign V424251 = V600026. assign V270490 = V016101. assign V017259 = V270490. assign V590169 = 10. assign V473891 = V941238 + 1. assign V372498 = V335584 - 1. assign V756425 = V809409 + 1. assign V280838 = V372498 + 1. assign V983894 = V314175 + 1. assign V142503 = V351701 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V351701 = V270490. assign V724683 = V590169 - 1. assign V172146 = V142503 - 1. assign V709988 = V971289. assign V866224 = V600026 - 1. assign V335584 = V270490. assign V310028 = V424251 - 1. assign V314175 = V953438 - 1. assign V906775 = V280838 - 1. assign V941238 = V477011 - 1. assign V682888 = V172146 + 1. assign V010959 = V809409 + 1. assign V482803 = V915103 - 1. assign V769265 = V809409 - 1. assign V724353 = V167112. assign V286135 = V244109 + 1. assign V262436 = V270490 - 1. assign V605759 = V557707. assign V023578 = V335584. assign V036293 = V277796 - 1. assign V516494 = V995348 - 1. assign V809409 = V810688. assign V994918 = V017259 - 1. assign V544361 = V849940. assign V834027 = V277944 + 1. assign V879485 = V374275 + 1. assign V016101 = V310028 - 1. assign V404548 = V351701 - 1. assign V925981 = V861554. assign V167112 = V075532 - 1. assign V205536 = V351701. assign V389619 = V866224 + 1. assign V903056 = V628869 - 1. assign V810688 = V136703 - 1. assign V004685 = V167112 + 1. assign V374275 = V017944. assign V995348 = V866224 - 1. assign V216572 = V971289. assign V849940 = V424251 - 1. assign V274322 = V016101. assign V567228 = V941238 - 1. assign V861554 = V335584. assign V230606 = V744619 - 1. assign V511058 = V374275. assign V400839 = V424251 - 1. assign V028499 = V143284 - 1. assign V017944 = V262436. assign V136703 = V477011 - 1. assign V882657 = V017259. assign V557707 = V925981. assign V668498 = V516494 - 1. assign V915103 = V941238 - 1. assign V483028 = V600026 + 1. assign V678570 = V205536 + 1. assign V382334 = V270490 - 1. assign V887429 = V799342 - 1. assign V502055 = V085227 - 1. assign V143284 = V310028 + 1. assign V085227 = V244109 + 1. assign V960686 = V866224 - 1. assign V231099 = V270490 - 1. assign V744619 = V216572 + 1. assign V277944 = V143284 - 1. assign V650605 = V953438. assign V953438 = V483028. assign V804294 = V477011. assign V888409 = V136703. assign V244109 = V017259 - 1. assign V628869 = V335584 + 1. assign V955281 = V262436. assign V971289 = V953438 + 1. assign V058489 = V888409. assign V075532 = V600026 + 1. assign V799342 = V075532 - 1. assign V477011 = V483028 + 1. assign V277796 = V075532 - 1. assign V424251 = V600026. assign V270490 = V016101. assign V017259 = V270490. assign V590169 = 10. assign V473891 = V941238 + 1. assign V372498 = V335584 - 1. assign V756425 = V809409 + 1. assign V280838 = V372498 + 1. assign V983894 = V314175 + 1. assign V142503 = V351701 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV590169 = 10;\n\nFrom these direct assignment(s), we have: \nV724683 = V590169 - 1 = 10 - 1 =9;\nNo other variables can be derived from V724683;\nNo other variables can be derived from V590169;\n\nNow we have done all the calculations. Derived variables are:\nV590169 = 10;\nV724683 = 9;\n\nNow we have finished this problem. ANSWER:\nV590169\n", "role": "assistant" } ]

[ "V610789" ]

[ { "content": "<context>\nassign V090898 = V415566 + 1. assign V025252 = V961850. assign V811473 = V664110 - 1. assign V325125 = V379431. assign V152643 = V729700 + 1. assign V689209 = V756016 - 1. assign V792876 = V432256 + 1. assign V480222 = V118416 - 1. assign V200533 = V059971 + 1. assign V780974 = V750456. assign V292354 = V848809 + 1. assign V661844 = V510963 - 1. assign V270271 = V379431 + 1. assign V059971 = V292354 + 1. assign V848809 = V709277 + 1. assign V507938 = V179318 + 1. assign V523281 = V690600. assign V979520 = V304065. assign V686325 = V025252 + 1. assign V659557 = V415566. assign V664110 = V024203 + 1. assign V720254 = V379431 - 1. assign V686452 = V661844 + 1. assign V918437 = V780974 - 1. assign V927254 = V292354. assign V432256 = V179318. assign V677314 = V273950 + 1. assign V540556 = V207069. assign V673615 = V292354 + 1. assign V343458 = V431398 - 1. assign V176847 = V690600 - 1. assign V926114 = V139253 - 1. assign V756016 = V523213. assign V179318 = V379431 + 1. assign V644758 = V025252. assign V750456 = V848809. assign V017796 = V322642. assign V431398 = V709277. assign V273950 = V709277 + 1. assign V510963 = V961850 + 1. assign V729700 = V709277. assign V304172 = V635138 - 1. assign V709277 = V523213 - 1. assign V690600 = V848809 + 1. assign V736636 = V709277 - 1. assign V610789 = 4. assign V767125 = V040290 + 1. assign V355811 = V510963 - 1. assign V809762 = V961850 + 1. assign V270634 = V523213. assign V139253 = V756016 + 1. assign V635138 = V673615 - 1. assign V999233 = V139253 + 1. assign V957821 = V756016 + 1. assign V118416 = V523213 - 1. assign V496124 = V325125. assign V307876 = V961850 - 1. assign V226000 = V979520 + 1. assign V040290 = V118416. assign V529062 = V848809 - 1. assign V207069 = V690600 - 1. assign V304065 = V848809 + 1. assign V379431 = V118416 - 1. assign V742545 = V270271 + 1. assign V014975 = V689209 + 1. assign V961850 = V709277 - 1. assign V716645 = V809762 - 1. assign V567784 = V176847 + 1. assign V834674 = V139253 - 1. assign V963366 = V273950. assign V337277 = V720254 - 1. assign V596143 = V179318 + 1. assign V732381 = V596143 - 1. assign V954135 = V961850 + 1. assign V834237 = V635138 + 1. assign V322642 = V179318 - 1. assign V901911 = V432550 - 1. assign V041163 = V780974 - 1. assign V432550 = V379431. assign V052615 = V709277 + 1. assign V620672 = V379431 + 1. assign V364858 = V610789 + 1. assign V024203 = V325125 + 1. assign V748761 = V432550. assign V913311 = V052615. assign V415566 = V736636.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V090898 = V415566 + 1. assign V025252 = V961850. assign V811473 = V664110 - 1. assign V325125 = V379431. assign V152643 = V729700 + 1. assign V689209 = V756016 - 1. assign V792876 = V432256 + 1. assign V480222 = V118416 - 1. assign V200533 = V059971 + 1. assign V780974 = V750456. assign V292354 = V848809 + 1. assign V661844 = V510963 - 1. assign V270271 = V379431 + 1. assign V059971 = V292354 + 1. assign V848809 = V709277 + 1. assign V507938 = V179318 + 1. assign V523281 = V690600. assign V979520 = V304065. assign V686325 = V025252 + 1. assign V659557 = V415566. assign V664110 = V024203 + 1. assign V720254 = V379431 - 1. assign V686452 = V661844 + 1. assign V918437 = V780974 - 1. assign V927254 = V292354. assign V432256 = V179318. assign V677314 = V273950 + 1. assign V540556 = V207069. assign V673615 = V292354 + 1. assign V343458 = V431398 - 1. assign V176847 = V690600 - 1. assign V926114 = V139253 - 1. assign V756016 = V523213. assign V179318 = V379431 + 1. assign V644758 = V025252. assign V750456 = V848809. assign V017796 = V322642. assign V431398 = V709277. assign V273950 = V709277 + 1. assign V510963 = V961850 + 1. assign V729700 = V709277. assign V304172 = V635138 - 1. assign V709277 = V523213 - 1. assign V690600 = V848809 + 1. assign V736636 = V709277 - 1. assign V610789 = 4. assign V767125 = V040290 + 1. assign V355811 = V510963 - 1. assign V809762 = V961850 + 1. assign V270634 = V523213. assign V139253 = V756016 + 1. assign V635138 = V673615 - 1. assign V999233 = V139253 + 1. assign V957821 = V756016 + 1. assign V118416 = V523213 - 1. assign V496124 = V325125. assign V307876 = V961850 - 1. assign V226000 = V979520 + 1. assign V040290 = V118416. assign V529062 = V848809 - 1. assign V207069 = V690600 - 1. assign V304065 = V848809 + 1. assign V379431 = V118416 - 1. assign V742545 = V270271 + 1. assign V014975 = V689209 + 1. assign V961850 = V709277 - 1. assign V716645 = V809762 - 1. assign V567784 = V176847 + 1. assign V834674 = V139253 - 1. assign V963366 = V273950. assign V337277 = V720254 - 1. assign V596143 = V179318 + 1. assign V732381 = V596143 - 1. assign V954135 = V961850 + 1. assign V834237 = V635138 + 1. assign V322642 = V179318 - 1. assign V901911 = V432550 - 1. assign V041163 = V780974 - 1. assign V432550 = V379431. assign V052615 = V709277 + 1. assign V620672 = V379431 + 1. assign V364858 = V610789 + 1. assign V024203 = V325125 + 1. assign V748761 = V432550. assign V913311 = V052615. assign V415566 = V736636.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV610789 = 4;\n\nFrom these direct assignment(s), we have: \nV364858 = V610789 + 1 = 4 + 1 =5;\nNo other variables can be derived from V364858;\nNo other variables can be derived from V610789;\n\nNow we have done all the calculations. Derived variables are:\nV610789 = 4;\nV364858 = 5;\n\nNow we have finished this problem. ANSWER:\nV610789\n", "role": "assistant" } ]

[ "V657331", "V055015" ]

[ { "content": "<context>\nassign V657331 = 8. assign V065014 = V024112 + 1. assign V816607 = V028764 + 1. assign V195200 = V263136 - 1. assign V079906 = V104470 + 1. assign V355928 = V924002 - 1. assign V108560 = V582489 + 1. assign V533502 = V195200. assign V702579 = V721107 + 1. assign V827845 = V415806 + 1. assign V113190 = V859089 - 1. assign V503235 = V924002 + 1. assign V263511 = V132485 - 1. assign V406988 = V195200 - 1. assign V664494 = V721107 + 1. assign V567335 = V024112. assign V956073 = V357576 + 1. assign V999209 = V582489 - 1. assign V550038 = V582489 - 1. assign V453302 = V999209. assign V390992 = V406988 - 1. assign V142844 = V436377 + 1. assign V263136 = V319286. assign V984566 = V660692 + 1. assign V890179 = V181515 - 1. assign V596882 = V181515 - 1. assign V345925 = V907076 - 1. assign V481425 = V108560 + 1. assign V970475 = V750317. assign V621814 = V132485 + 1. assign V225024 = V248492 + 1. assign V036088 = V939795 - 1. assign V333748 = V533502 - 1. assign V576044 = V750317 - 1. assign V939795 = V476042 - 1. assign V056665 = V721107 - 1. assign V190468 = V621814 - 1. assign V269102 = V435886 - 1. assign V878296 = V079906. assign V316726 = V476042. assign V409164 = V269102 - 1. assign V132485 = V435886. assign V057666 = V263136. assign V055015 = V657331. assign V750317 = V028764 - 1. assign V740430 = V878296 + 1. assign V151612 = V367758 - 1. assign V859089 = V435886 - 1. assign V907860 = V056665. assign V104470 = V721107 + 1. assign V436377 = V582489 - 1. assign V028764 = V702579. assign V319286 = V355928. assign V912371 = V225024 + 1. assign V660692 = V263136 - 1. assign V841452 = V481425 + 1. assign V791127 = V248492 - 1. assign V907076 = V436377 + 1. assign V967062 = V827845. assign V357576 = V939795. assign V481058 = V596882 + 1. assign V244748 = V132485 + 1. assign V784633 = V415806 - 1. assign V553474 = V791127 + 1. assign V530389 = V028764 - 1. assign V502112 = V721107 + 1. assign V248492 = V435886. assign V402267 = V319286. assign V367758 = V939795. assign V420160 = V023054 - 1. assign V102486 = V791127 - 1. assign V181515 = V476042 - 1. assign V015363 = V970475 - 1. assign V024112 = V181515 + 1. assign V415806 = V721107. assign V366334 = V582489 - 1. assign V582489 = V721107 + 1. assign V141798 = V132485 - 1. assign V721107 = V132485 - 1. assign V924002 = V244748 - 1. assign V630848 = V415806. assign V699491 = V190468 - 1. assign V476042 = V582489 + 1. assign V092625 = V243033 + 1. assign V023054 = V476042. assign V243033 = V907860 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V657331 = 8. assign V065014 = V024112 + 1. assign V816607 = V028764 + 1. assign V195200 = V263136 - 1. assign V079906 = V104470 + 1. assign V355928 = V924002 - 1. assign V108560 = V582489 + 1. assign V533502 = V195200. assign V702579 = V721107 + 1. assign V827845 = V415806 + 1. assign V113190 = V859089 - 1. assign V503235 = V924002 + 1. assign V263511 = V132485 - 1. assign V406988 = V195200 - 1. assign V664494 = V721107 + 1. assign V567335 = V024112. assign V956073 = V357576 + 1. assign V999209 = V582489 - 1. assign V550038 = V582489 - 1. assign V453302 = V999209. assign V390992 = V406988 - 1. assign V142844 = V436377 + 1. assign V263136 = V319286. assign V984566 = V660692 + 1. assign V890179 = V181515 - 1. assign V596882 = V181515 - 1. assign V345925 = V907076 - 1. assign V481425 = V108560 + 1. assign V970475 = V750317. assign V621814 = V132485 + 1. assign V225024 = V248492 + 1. assign V036088 = V939795 - 1. assign V333748 = V533502 - 1. assign V576044 = V750317 - 1. assign V939795 = V476042 - 1. assign V056665 = V721107 - 1. assign V190468 = V621814 - 1. assign V269102 = V435886 - 1. assign V878296 = V079906. assign V316726 = V476042. assign V409164 = V269102 - 1. assign V132485 = V435886. assign V057666 = V263136. assign V055015 = V657331. assign V750317 = V028764 - 1. assign V740430 = V878296 + 1. assign V151612 = V367758 - 1. assign V859089 = V435886 - 1. assign V907860 = V056665. assign V104470 = V721107 + 1. assign V436377 = V582489 - 1. assign V028764 = V702579. assign V319286 = V355928. assign V912371 = V225024 + 1. assign V660692 = V263136 - 1. assign V841452 = V481425 + 1. assign V791127 = V248492 - 1. assign V907076 = V436377 + 1. assign V967062 = V827845. assign V357576 = V939795. assign V481058 = V596882 + 1. assign V244748 = V132485 + 1. assign V784633 = V415806 - 1. assign V553474 = V791127 + 1. assign V530389 = V028764 - 1. assign V502112 = V721107 + 1. assign V248492 = V435886. assign V402267 = V319286. assign V367758 = V939795. assign V420160 = V023054 - 1. assign V102486 = V791127 - 1. assign V181515 = V476042 - 1. assign V015363 = V970475 - 1. assign V024112 = V181515 + 1. assign V415806 = V721107. assign V366334 = V582489 - 1. assign V582489 = V721107 + 1. assign V141798 = V132485 - 1. assign V721107 = V132485 - 1. assign V924002 = V244748 - 1. assign V630848 = V415806. assign V699491 = V190468 - 1. assign V476042 = V582489 + 1. assign V092625 = V243033 + 1. assign V023054 = V476042. assign V243033 = V907860 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV657331 = 8;\n\nFrom these direct assignment(s), we have: \nV055015 = V657331 = 8;\nNo other variables can be derived from V055015;\nNo other variables can be derived from V657331;\n\nNow we have done all the calculations. Derived variables are:\nV657331 = 8;\nV055015 = 8;\n\nNow we have finished this problem. ANSWER:\nV657331, V055015\n", "role": "assistant" } ]

[ "V615692", "V028142" ]

[ { "content": "<context>\nassign V625904 = V145985 + 1. assign V465158 = V902900. assign V291297 = V088970 + 1. assign V102154 = V505516 - 1. assign V343345 = V411370. assign V902900 = V793607. assign V919965 = V241591 + 1. assign V850697 = V465158. assign V929436 = V992030. assign V277820 = V411370 - 1. assign V996200 = V713951. assign V814678 = V747806. assign V694250 = V770491 - 1. assign V119164 = V674707 - 1. assign V688891 = V398035 - 1. assign V844302 = V047943 - 1. assign V145949 = V827791 + 1. assign V029509 = V832751 - 1. assign V351402 = V696962 - 1. assign V300214 = V613850 - 1. assign V819809 = V832751. assign V040549 = V299572 + 1. assign V088970 = V957750 + 1. assign V398035 = V299572 - 1. assign V232395 = V291297. assign V832751 = V208093 - 1. assign V529976 = V009975 - 1. assign V793607 = V208093 + 1. assign V070853 = V404245 - 1. assign V241591 = V208093 - 1. assign V674707 = V793607 - 1. assign V022283 = V411370 + 1. assign V992030 = V793607 - 1. assign V513410 = V415975 + 1. assign V376366 = V145985 + 1. assign V291232 = V902900 - 1. assign V931237 = V088970 + 1. assign V267251 = V580987. assign V022064 = V996200 + 1. assign V713951 = V208093. assign V145985 = V819809 - 1. assign V783317 = V919965 - 1. assign V409660 = V547419 + 1. assign V400017 = V338191 + 1. assign V948813 = V022283 + 1. assign V770491 = V411370 + 1. assign V658672 = V992030 - 1. assign V615692 = 0. assign V580987 = V376366 - 1. assign V547419 = V411370 - 1. assign V095154 = V876482. assign V496524 = V827791 + 1. assign V957750 = V886317 + 1. assign V411370 = V919965. assign V047943 = V145985. assign V408840 = V902900. assign V093470 = V793607 - 1. assign V662624 = V747806 + 1. assign V876482 = V832751 - 1. assign V886317 = V145985. assign V613850 = V505516 - 1. assign V353905 = V400017. assign V299572 = V465158 - 1. assign V161359 = V208093. assign V257111 = V465158 - 1. assign V458743 = V793607 - 1. assign V505516 = V902900 + 1. assign V304740 = V047943 - 1. assign V282742 = V161359. assign V827791 = V161359 + 1. assign V673503 = V299572. assign V630046 = V376366. assign V028142 = V615692. assign V238343 = V613850 + 1. assign V825977 = V029509 + 1. assign V665244 = V513410. assign V696962 = V458743. assign V942955 = V398035. assign V338191 = V161359 - 1. assign V009975 = V793607 + 1. assign V095760 = V404245. assign V404245 = V992030 - 1. assign V747806 = V996200 + 1. assign V415975 = V876482 + 1. assign V676505 = V783317. assign V846430 = V902900 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V625904 = V145985 + 1. assign V465158 = V902900. assign V291297 = V088970 + 1. assign V102154 = V505516 - 1. assign V343345 = V411370. assign V902900 = V793607. assign V919965 = V241591 + 1. assign V850697 = V465158. assign V929436 = V992030. assign V277820 = V411370 - 1. assign V996200 = V713951. assign V814678 = V747806. assign V694250 = V770491 - 1. assign V119164 = V674707 - 1. assign V688891 = V398035 - 1. assign V844302 = V047943 - 1. assign V145949 = V827791 + 1. assign V029509 = V832751 - 1. assign V351402 = V696962 - 1. assign V300214 = V613850 - 1. assign V819809 = V832751. assign V040549 = V299572 + 1. assign V088970 = V957750 + 1. assign V398035 = V299572 - 1. assign V232395 = V291297. assign V832751 = V208093 - 1. assign V529976 = V009975 - 1. assign V793607 = V208093 + 1. assign V070853 = V404245 - 1. assign V241591 = V208093 - 1. assign V674707 = V793607 - 1. assign V022283 = V411370 + 1. assign V992030 = V793607 - 1. assign V513410 = V415975 + 1. assign V376366 = V145985 + 1. assign V291232 = V902900 - 1. assign V931237 = V088970 + 1. assign V267251 = V580987. assign V022064 = V996200 + 1. assign V713951 = V208093. assign V145985 = V819809 - 1. assign V783317 = V919965 - 1. assign V409660 = V547419 + 1. assign V400017 = V338191 + 1. assign V948813 = V022283 + 1. assign V770491 = V411370 + 1. assign V658672 = V992030 - 1. assign V615692 = 0. assign V580987 = V376366 - 1. assign V547419 = V411370 - 1. assign V095154 = V876482. assign V496524 = V827791 + 1. assign V957750 = V886317 + 1. assign V411370 = V919965. assign V047943 = V145985. assign V408840 = V902900. assign V093470 = V793607 - 1. assign V662624 = V747806 + 1. assign V876482 = V832751 - 1. assign V886317 = V145985. assign V613850 = V505516 - 1. assign V353905 = V400017. assign V299572 = V465158 - 1. assign V161359 = V208093. assign V257111 = V465158 - 1. assign V458743 = V793607 - 1. assign V505516 = V902900 + 1. assign V304740 = V047943 - 1. assign V282742 = V161359. assign V827791 = V161359 + 1. assign V673503 = V299572. assign V630046 = V376366. assign V028142 = V615692. assign V238343 = V613850 + 1. assign V825977 = V029509 + 1. assign V665244 = V513410. assign V696962 = V458743. assign V942955 = V398035. assign V338191 = V161359 - 1. assign V009975 = V793607 + 1. assign V095760 = V404245. assign V404245 = V992030 - 1. assign V747806 = V996200 + 1. assign V415975 = V876482 + 1. assign V676505 = V783317. assign V846430 = V902900 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV615692 = 0;\n\nFrom these direct assignment(s), we have: \nV028142 = V615692 = 0;\nNo other variables can be derived from V028142;\nNo other variables can be derived from V615692;\n\nNow we have done all the calculations. Derived variables are:\nV615692 = 0;\nV028142 = 0;\n\nNow we have finished this problem. ANSWER:\nV615692, V028142\n", "role": "assistant" } ]

[ "V354301", "V403103" ]

[ { "content": "<context>\nassign V324723 = V355634 - 1. assign V657772 = V377166 + 1. assign V425795 = V224273 - 1. assign V336184 = V375635 + 1. assign V898504 = V048598 - 1. assign V040321 = V048598. assign V761379 = V070021. assign V475039 = V198683 - 1. assign V466577 = V336184 - 1. assign V726438 = V382374. assign V986770 = V898504 + 1. assign V480247 = V206131 - 1. assign V370823 = V839329 + 1. assign V382374 = V898504 + 1. assign V525357 = V996725 + 1. assign V125624 = V636513 + 1. assign V476490 = V691710 - 1. assign V206131 = V048598. assign V041409 = V996725. assign V727016 = V070021. assign V098265 = V153670 - 1. assign V946247 = V855862. assign V905894 = V355634 - 1. assign V821734 = V767703 - 1. assign V502667 = V691710 - 1. assign V261048 = V839329 - 1. assign V140503 = V087749. assign V198683 = V751315 + 1. assign V985625 = V130176. assign V751315 = V778945 - 1. assign V778945 = V206131 - 1. assign V630036 = V375635. assign V375635 = V767703 - 1. assign V005681 = V652426. assign V153670 = V787693. assign V670449 = V206131 + 1. assign V355634 = V727016. assign V517965 = V048598 - 1. assign V300948 = V377166 + 1. assign V570072 = V224273 + 1. assign V585779 = V098265. assign V691710 = V166899. assign V699994 = V382374 - 1. assign V239129 = V898504 - 1. assign V224273 = V898504 + 1. assign V472148 = V570072 - 1. assign V130176 = V070021 - 1. assign V976491 = V476490. assign V373833 = V348812 - 1. assign V087749 = V652426 - 1. assign V104927 = V691710 - 1. assign V767703 = V166899 - 1. assign V010955 = V224273 - 1. assign V348812 = V636513 + 1. assign V667651 = V476490 - 1. assign V681470 = V933777 - 1. assign V933777 = V751315. assign V165218 = V636513. assign V860653 = V502667 - 1. assign V996725 = V224273 + 1. assign V436036 = V767703 - 1. assign V048598 = V166899. assign V403103 = V354301. assign V384188 = V517965. assign V292126 = V040321 + 1. assign V469315 = V480247. assign V787693 = V048598. assign V144180 = V996725. assign V636513 = V355634 - 1. assign V499982 = V933777 - 1. assign V800752 = V087749. assign V377166 = V670449 + 1. assign V839329 = V727016. assign V766121 = V979119. assign V111962 = V476490 + 1. assign V804440 = V585779. assign V405358 = V986770. assign V354301 = 7. assign V192669 = V979119 - 1. assign V979119 = V125624 + 1. assign V397990 = V224273. assign V652426 = V517965 - 1. assign V855862 = V839329 + 1. assign V771793 = V751315. assign V070021 = V898504. assign V512772 = V087749 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V324723 = V355634 - 1. assign V657772 = V377166 + 1. assign V425795 = V224273 - 1. assign V336184 = V375635 + 1. assign V898504 = V048598 - 1. assign V040321 = V048598. assign V761379 = V070021. assign V475039 = V198683 - 1. assign V466577 = V336184 - 1. assign V726438 = V382374. assign V986770 = V898504 + 1. assign V480247 = V206131 - 1. assign V370823 = V839329 + 1. assign V382374 = V898504 + 1. assign V525357 = V996725 + 1. assign V125624 = V636513 + 1. assign V476490 = V691710 - 1. assign V206131 = V048598. assign V041409 = V996725. assign V727016 = V070021. assign V098265 = V153670 - 1. assign V946247 = V855862. assign V905894 = V355634 - 1. assign V821734 = V767703 - 1. assign V502667 = V691710 - 1. assign V261048 = V839329 - 1. assign V140503 = V087749. assign V198683 = V751315 + 1. assign V985625 = V130176. assign V751315 = V778945 - 1. assign V778945 = V206131 - 1. assign V630036 = V375635. assign V375635 = V767703 - 1. assign V005681 = V652426. assign V153670 = V787693. assign V670449 = V206131 + 1. assign V355634 = V727016. assign V517965 = V048598 - 1. assign V300948 = V377166 + 1. assign V570072 = V224273 + 1. assign V585779 = V098265. assign V691710 = V166899. assign V699994 = V382374 - 1. assign V239129 = V898504 - 1. assign V224273 = V898504 + 1. assign V472148 = V570072 - 1. assign V130176 = V070021 - 1. assign V976491 = V476490. assign V373833 = V348812 - 1. assign V087749 = V652426 - 1. assign V104927 = V691710 - 1. assign V767703 = V166899 - 1. assign V010955 = V224273 - 1. assign V348812 = V636513 + 1. assign V667651 = V476490 - 1. assign V681470 = V933777 - 1. assign V933777 = V751315. assign V165218 = V636513. assign V860653 = V502667 - 1. assign V996725 = V224273 + 1. assign V436036 = V767703 - 1. assign V048598 = V166899. assign V403103 = V354301. assign V384188 = V517965. assign V292126 = V040321 + 1. assign V469315 = V480247. assign V787693 = V048598. assign V144180 = V996725. assign V636513 = V355634 - 1. assign V499982 = V933777 - 1. assign V800752 = V087749. assign V377166 = V670449 + 1. assign V839329 = V727016. assign V766121 = V979119. assign V111962 = V476490 + 1. assign V804440 = V585779. assign V405358 = V986770. assign V354301 = 7. assign V192669 = V979119 - 1. assign V979119 = V125624 + 1. assign V397990 = V224273. assign V652426 = V517965 - 1. assign V855862 = V839329 + 1. assign V771793 = V751315. assign V070021 = V898504. assign V512772 = V087749 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV354301 = 7;\n\nFrom these direct assignment(s), we have: \nV403103 = V354301 = 7;\nNo other variables can be derived from V403103;\nNo other variables can be derived from V354301;\n\nNow we have done all the calculations. Derived variables are:\nV354301 = 7;\nV403103 = 7;\n\nNow we have finished this problem. ANSWER:\nV354301, V403103\n", "role": "assistant" } ]

[ "V538932" ]

[ { "content": "<context>\nassign V841716 = V200449 - 1. assign V694139 = V925273 + 1. assign V681464 = V533199 - 1. assign V794274 = V144205 + 1. assign V409657 = V821009 + 1. assign V546715 = V430513 + 1. assign V529237 = V786513. assign V186205 = V533199 - 1. assign V012693 = V523019. assign V583372 = V200449 + 1. assign V767161 = V786513. assign V893383 = V218487 + 1. assign V925273 = V144205. assign V850524 = V841716. assign V512722 = V250177 - 1. assign V375988 = V272230. assign V474805 = V741425 + 1. assign V810372 = V830317 - 1. assign V524827 = V218487 + 1. assign V200449 = V523019 - 1. assign V450203 = V681464 - 1. assign V527772 = V820592. assign V743279 = V385987 - 1. assign V830317 = V218487 + 1. assign V821009 = V153520 - 1. assign V786513 = V385987 - 1. assign V218487 = V153520. assign V094726 = V272230. assign V533199 = V250177. assign V250177 = V218487 - 1. assign V982161 = V519875. assign V041300 = V794274 + 1. assign V046533 = V893383 + 1. assign V099150 = V903923 + 1. assign V727767 = V743279. assign V116562 = V524827 - 1. assign V430513 = V046533 - 1. assign V397487 = V286077 - 1. assign V467330 = V375988. assign V188979 = V399123 + 1. assign V319109 = V830317 + 1. assign V247826 = V512722 - 1. assign V703170 = V068203. assign V812667 = V180815 + 1. assign V124175 = V180815 + 1. assign V147625 = V218487. assign V658670 = V611052 + 1. assign V741425 = V794274 + 1. assign V040960 = V474805. assign V622767 = V094726. assign V558377 = V167938 + 1. assign V933784 = V893383. assign V381451 = V430513. assign V538932 = 7. assign V994097 = V850524 + 1. assign V068203 = V286077 - 1. assign V561342 = V250177 + 1. assign V175859 = V099150 - 1. assign V523019 = V153520 + 1. assign V933802 = V983329 + 1. assign V820592 = V812973 + 1. assign V903923 = V200449 - 1. assign V144205 = V250177 + 1. assign V812973 = V218487 + 1. assign V925054 = V933784 + 1. assign V887724 = V094726 + 1. assign V123571 = V524827. assign V611052 = V527772 + 1. assign V456971 = V558377. assign V606016 = V144205 - 1. assign V690245 = V786513 - 1. assign V519875 = V812973 + 1. assign V983329 = V812973 - 1. assign V796557 = V200449 + 1. assign V631477 = V467330. assign V385987 = V144205. assign V272618 = V893383. assign V523416 = V538932 - 1. assign V180815 = V144205 + 1. assign V286077 = V272230. assign V189199 = V887724. assign V399123 = V218487. assign V338881 = V553473. assign V272230 = V153520 - 1. assign V553473 = V830317 - 1. assign V167938 = V983329 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V841716 = V200449 - 1. assign V694139 = V925273 + 1. assign V681464 = V533199 - 1. assign V794274 = V144205 + 1. assign V409657 = V821009 + 1. assign V546715 = V430513 + 1. assign V529237 = V786513. assign V186205 = V533199 - 1. assign V012693 = V523019. assign V583372 = V200449 + 1. assign V767161 = V786513. assign V893383 = V218487 + 1. assign V925273 = V144205. assign V850524 = V841716. assign V512722 = V250177 - 1. assign V375988 = V272230. assign V474805 = V741425 + 1. assign V810372 = V830317 - 1. assign V524827 = V218487 + 1. assign V200449 = V523019 - 1. assign V450203 = V681464 - 1. assign V527772 = V820592. assign V743279 = V385987 - 1. assign V830317 = V218487 + 1. assign V821009 = V153520 - 1. assign V786513 = V385987 - 1. assign V218487 = V153520. assign V094726 = V272230. assign V533199 = V250177. assign V250177 = V218487 - 1. assign V982161 = V519875. assign V041300 = V794274 + 1. assign V046533 = V893383 + 1. assign V099150 = V903923 + 1. assign V727767 = V743279. assign V116562 = V524827 - 1. assign V430513 = V046533 - 1. assign V397487 = V286077 - 1. assign V467330 = V375988. assign V188979 = V399123 + 1. assign V319109 = V830317 + 1. assign V247826 = V512722 - 1. assign V703170 = V068203. assign V812667 = V180815 + 1. assign V124175 = V180815 + 1. assign V147625 = V218487. assign V658670 = V611052 + 1. assign V741425 = V794274 + 1. assign V040960 = V474805. assign V622767 = V094726. assign V558377 = V167938 + 1. assign V933784 = V893383. assign V381451 = V430513. assign V538932 = 7. assign V994097 = V850524 + 1. assign V068203 = V286077 - 1. assign V561342 = V250177 + 1. assign V175859 = V099150 - 1. assign V523019 = V153520 + 1. assign V933802 = V983329 + 1. assign V820592 = V812973 + 1. assign V903923 = V200449 - 1. assign V144205 = V250177 + 1. assign V812973 = V218487 + 1. assign V925054 = V933784 + 1. assign V887724 = V094726 + 1. assign V123571 = V524827. assign V611052 = V527772 + 1. assign V456971 = V558377. assign V606016 = V144205 - 1. assign V690245 = V786513 - 1. assign V519875 = V812973 + 1. assign V983329 = V812973 - 1. assign V796557 = V200449 + 1. assign V631477 = V467330. assign V385987 = V144205. assign V272618 = V893383. assign V523416 = V538932 - 1. assign V180815 = V144205 + 1. assign V286077 = V272230. assign V189199 = V887724. assign V399123 = V218487. assign V338881 = V553473. assign V272230 = V153520 - 1. assign V553473 = V830317 - 1. assign V167938 = V983329 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV538932 = 7;\n\nFrom these direct assignment(s), we have: \nV523416 = V538932 - 1 = 7 - 1 =6;\nNo other variables can be derived from V523416;\nNo other variables can be derived from V538932;\n\nNow we have done all the calculations. Derived variables are:\nV538932 = 7;\nV523416 = 6;\n\nNow we have finished this problem. ANSWER:\nV538932\n", "role": "assistant" } ]

[ "V306089" ]

[ { "content": "<context>\nassign V340363 = V240042 - 1. assign V909738 = V694579 - 1. assign V868131 = V928378. assign V038741 = V724449 - 1. assign V751212 = V868131 - 1. assign V319796 = V154908 - 1. assign V366626 = V928439 + 1. assign V143502 = V749022. assign V307902 = V133339 + 1. assign V921944 = V944978 + 1. assign V990115 = V749022. assign V724449 = V197871 - 1. assign V650051 = V990115. assign V671234 = V114727 - 1. assign V944978 = V053207. assign V602229 = V240042. assign V702099 = V053207 - 1. assign V412589 = V454585 + 1. assign V557253 = V593505. assign V713117 = V197871 + 1. assign V879932 = V577292. assign V154908 = V724449 + 1. assign V182334 = V650051. assign V454585 = V025176. assign V454261 = V605452 - 1. assign V974356 = V495391 - 1. assign V928439 = V856713 + 1. assign V316460 = V643065. assign V839313 = V197871 + 1. assign V899808 = V314306 - 1. assign V690096 = V974356. assign V229186 = V274674 - 1. assign V101635 = V314306. assign V700864 = V154908 + 1. assign V577292 = V240042. assign V179315 = V602229 - 1. assign V957812 = V053207 + 1. assign V271477 = V274674. assign V749022 = V928378. assign V859017 = V839313 - 1. assign V645767 = V643065. assign V133339 = V509982 - 1. assign V371197 = V038741 + 1. assign V750799 = V724449 + 1. assign V947676 = V316584 - 1. assign V593505 = V750799. assign V491607 = V643065 + 1. assign V153688 = V229186 - 1. assign V619052 = V690096. assign V348671 = V038741. assign V308978 = V274674 - 1. assign V197871 = V643065 + 1. assign V316584 = V713117 - 1. assign V276877 = V868131. assign V314306 = V593505 - 1. assign V114388 = V271477. assign V495391 = V053207 + 1. assign V805660 = V053207 - 1. assign V240042 = V957812 + 1. assign V981447 = V724449 + 1. assign V371914 = V957812 + 1. assign V274674 = V197871 - 1. assign V605452 = V957812 - 1. assign V438658 = V412589. assign V432494 = V928439. assign V677415 = V749022 - 1. assign V823546 = V271477 + 1. assign V452576 = V805660 - 1. assign V874707 = V308978 + 1. assign V804544 = V981447 + 1. assign V025176 = V509982 + 1. assign V941669 = V602229 - 1. assign V306089 = 8. assign V856713 = V025176 - 1. assign V248723 = V271477 + 1. assign V114727 = V944978. assign V538457 = V749022 + 1. assign V617842 = V306089 + 1. assign V331507 = V928378. assign V694579 = V957812 - 1. assign V928378 = V154908 + 1. assign V053207 = V643065 - 1. assign V509982 = V053207 - 1. assign V707961 = V114388 - 1. assign V185395 = V495391. assign V629849 = V602229 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V340363 = V240042 - 1. assign V909738 = V694579 - 1. assign V868131 = V928378. assign V038741 = V724449 - 1. assign V751212 = V868131 - 1. assign V319796 = V154908 - 1. assign V366626 = V928439 + 1. assign V143502 = V749022. assign V307902 = V133339 + 1. assign V921944 = V944978 + 1. assign V990115 = V749022. assign V724449 = V197871 - 1. assign V650051 = V990115. assign V671234 = V114727 - 1. assign V944978 = V053207. assign V602229 = V240042. assign V702099 = V053207 - 1. assign V412589 = V454585 + 1. assign V557253 = V593505. assign V713117 = V197871 + 1. assign V879932 = V577292. assign V154908 = V724449 + 1. assign V182334 = V650051. assign V454585 = V025176. assign V454261 = V605452 - 1. assign V974356 = V495391 - 1. assign V928439 = V856713 + 1. assign V316460 = V643065. assign V839313 = V197871 + 1. assign V899808 = V314306 - 1. assign V690096 = V974356. assign V229186 = V274674 - 1. assign V101635 = V314306. assign V700864 = V154908 + 1. assign V577292 = V240042. assign V179315 = V602229 - 1. assign V957812 = V053207 + 1. assign V271477 = V274674. assign V749022 = V928378. assign V859017 = V839313 - 1. assign V645767 = V643065. assign V133339 = V509982 - 1. assign V371197 = V038741 + 1. assign V750799 = V724449 + 1. assign V947676 = V316584 - 1. assign V593505 = V750799. assign V491607 = V643065 + 1. assign V153688 = V229186 - 1. assign V619052 = V690096. assign V348671 = V038741. assign V308978 = V274674 - 1. assign V197871 = V643065 + 1. assign V316584 = V713117 - 1. assign V276877 = V868131. assign V314306 = V593505 - 1. assign V114388 = V271477. assign V495391 = V053207 + 1. assign V805660 = V053207 - 1. assign V240042 = V957812 + 1. assign V981447 = V724449 + 1. assign V371914 = V957812 + 1. assign V274674 = V197871 - 1. assign V605452 = V957812 - 1. assign V438658 = V412589. assign V432494 = V928439. assign V677415 = V749022 - 1. assign V823546 = V271477 + 1. assign V452576 = V805660 - 1. assign V874707 = V308978 + 1. assign V804544 = V981447 + 1. assign V025176 = V509982 + 1. assign V941669 = V602229 - 1. assign V306089 = 8. assign V856713 = V025176 - 1. assign V248723 = V271477 + 1. assign V114727 = V944978. assign V538457 = V749022 + 1. assign V617842 = V306089 + 1. assign V331507 = V928378. assign V694579 = V957812 - 1. assign V928378 = V154908 + 1. assign V053207 = V643065 - 1. assign V509982 = V053207 - 1. assign V707961 = V114388 - 1. assign V185395 = V495391. assign V629849 = V602229 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV306089 = 8;\n\nFrom these direct assignment(s), we have: \nV617842 = V306089 + 1 = 8 + 1 =9;\nNo other variables can be derived from V617842;\nNo other variables can be derived from V306089;\n\nNow we have done all the calculations. Derived variables are:\nV306089 = 8;\nV617842 = 9;\n\nNow we have finished this problem. ANSWER:\nV306089\n", "role": "assistant" } ]

[ "V428670" ]

[ { "content": "<context>\nassign V285809 = V779263 + 1. assign V526494 = V528381 + 1. assign V093575 = V105433 + 1. assign V802721 = V950638 + 1. assign V124584 = V920159. assign V791877 = V105957. assign V184204 = V979408 + 1. assign V883361 = V597910 + 1. assign V079884 = V018079. assign V779263 = V321805 + 1. assign V237329 = V171159 + 1. assign V055027 = V770946. assign V363060 = V093575 + 1. assign V147577 = V999220. assign V873964 = V097176 - 1. assign V801473 = V979408 + 1. assign V865530 = V771174 + 1. assign V212180 = V105433. assign V730219 = V749718 - 1. assign V877344 = V543244. assign V958363 = V097176. assign V448229 = V755769 + 1. assign V771174 = V093575 + 1. assign V300510 = V105433 + 1. assign V879862 = V184204 + 1. assign V054222 = V659160 - 1. assign V428670 = 8. assign V872852 = V054222 + 1. assign V751264 = V527294 + 1. assign V652363 = V528381. assign V907035 = V979408. assign V040212 = V755769 + 1. assign V828231 = V184204. assign V528381 = V659160 - 1. assign V999220 = V018079 - 1. assign V597910 = V528381 - 1. assign V770946 = V046989. assign V527294 = V093575. assign V046989 = V989719 - 1. assign V000186 = V864440 - 1. assign V979408 = V097176 - 1. assign V702042 = V779263. assign V871700 = V093575. assign V644342 = V528381. assign V595356 = V597910 + 1. assign V944977 = V097176. assign V572978 = V845404 + 1. assign V656385 = V171159 + 1. assign V985466 = V656385 + 1. assign V423411 = V079884 + 1. assign V171159 = V018079 + 1. assign V755769 = V528381 + 1. assign V321805 = V105433 + 1. assign V273153 = V527294 - 1. assign V845404 = V726037. assign V928349 = V954160 - 1. assign V864440 = V105957 + 1. assign V105433 = V543244 - 1. assign V409911 = V954160 + 1. assign V610073 = V888772. assign V488288 = V716564 + 1. assign V191035 = V989719 + 1. assign V543244 = V097176 + 1. assign V302897 = V428670 - 1. assign V018079 = V659160 + 1. assign V989719 = V105957 - 1. assign V888772 = V000186 - 1. assign V659160 = V979408. assign V336091 = V907035. assign V844699 = V779263. assign V839935 = V171556 - 1. assign V786166 = V040212 - 1. assign V954160 = V528381 + 1. assign V681745 = V423411 - 1. assign V265294 = V054222. assign V481213 = V543244. assign V749718 = V644342 + 1. assign V171556 = V543244 + 1. assign V950638 = V184204. assign V088319 = V771174 + 1. assign V997173 = V527294. assign V716564 = V273153 - 1. assign V920159 = V018079 - 1. assign V726037 = V954160. assign V105957 = V097176 - 1. assign V535960 = V844699 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V285809 = V779263 + 1. assign V526494 = V528381 + 1. assign V093575 = V105433 + 1. assign V802721 = V950638 + 1. assign V124584 = V920159. assign V791877 = V105957. assign V184204 = V979408 + 1. assign V883361 = V597910 + 1. assign V079884 = V018079. assign V779263 = V321805 + 1. assign V237329 = V171159 + 1. assign V055027 = V770946. assign V363060 = V093575 + 1. assign V147577 = V999220. assign V873964 = V097176 - 1. assign V801473 = V979408 + 1. assign V865530 = V771174 + 1. assign V212180 = V105433. assign V730219 = V749718 - 1. assign V877344 = V543244. assign V958363 = V097176. assign V448229 = V755769 + 1. assign V771174 = V093575 + 1. assign V300510 = V105433 + 1. assign V879862 = V184204 + 1. assign V054222 = V659160 - 1. assign V428670 = 8. assign V872852 = V054222 + 1. assign V751264 = V527294 + 1. assign V652363 = V528381. assign V907035 = V979408. assign V040212 = V755769 + 1. assign V828231 = V184204. assign V528381 = V659160 - 1. assign V999220 = V018079 - 1. assign V597910 = V528381 - 1. assign V770946 = V046989. assign V527294 = V093575. assign V046989 = V989719 - 1. assign V000186 = V864440 - 1. assign V979408 = V097176 - 1. assign V702042 = V779263. assign V871700 = V093575. assign V644342 = V528381. assign V595356 = V597910 + 1. assign V944977 = V097176. assign V572978 = V845404 + 1. assign V656385 = V171159 + 1. assign V985466 = V656385 + 1. assign V423411 = V079884 + 1. assign V171159 = V018079 + 1. assign V755769 = V528381 + 1. assign V321805 = V105433 + 1. assign V273153 = V527294 - 1. assign V845404 = V726037. assign V928349 = V954160 - 1. assign V864440 = V105957 + 1. assign V105433 = V543244 - 1. assign V409911 = V954160 + 1. assign V610073 = V888772. assign V488288 = V716564 + 1. assign V191035 = V989719 + 1. assign V543244 = V097176 + 1. assign V302897 = V428670 - 1. assign V018079 = V659160 + 1. assign V989719 = V105957 - 1. assign V888772 = V000186 - 1. assign V659160 = V979408. assign V336091 = V907035. assign V844699 = V779263. assign V839935 = V171556 - 1. assign V786166 = V040212 - 1. assign V954160 = V528381 + 1. assign V681745 = V423411 - 1. assign V265294 = V054222. assign V481213 = V543244. assign V749718 = V644342 + 1. assign V171556 = V543244 + 1. assign V950638 = V184204. assign V088319 = V771174 + 1. assign V997173 = V527294. assign V716564 = V273153 - 1. assign V920159 = V018079 - 1. assign V726037 = V954160. assign V105957 = V097176 - 1. assign V535960 = V844699 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV428670 = 8;\n\nFrom these direct assignment(s), we have: \nV302897 = V428670 - 1 = 8 - 1 =7;\nNo other variables can be derived from V302897;\nNo other variables can be derived from V428670;\n\nNow we have done all the calculations. Derived variables are:\nV428670 = 8;\nV302897 = 7;\n\nNow we have finished this problem. ANSWER:\nV428670\n", "role": "assistant" } ]

[ "V544883" ]

[ { "content": "<context>\nassign V732261 = V074558 + 1. assign V274135 = V339384 + 1. assign V675762 = V885391 + 1. assign V242788 = V738222 - 1. assign V233215 = V427865. assign V179654 = V339384 + 1. assign V538269 = V364329 - 1. assign V911907 = V765350 - 1. assign V339384 = V934025. assign V399632 = V249639 + 1. assign V451893 = V048639 - 1. assign V690509 = V765350 + 1. assign V578279 = V732261. assign V347269 = V402942 - 1. assign V936375 = V627087. assign V932065 = V339384 + 1. assign V492895 = V339384 - 1. assign V934025 = V627087 + 1. assign V607361 = V156132 - 1. assign V564182 = V607361. assign V366950 = V287876 + 1. assign V544883 = V986977 + 1. assign V823581 = V578279 + 1. assign V183994 = V752267 + 1. assign V593011 = V048639. assign V792514 = V148933 - 1. assign V773620 = V690398. assign V627087 = V964558. assign V156132 = V434428 - 1. assign V157605 = V800546 + 1. assign V452886 = V578279 - 1. assign V019644 = V773620 + 1. assign V143725 = V934025 + 1. assign V800546 = V411815 - 1. assign V738222 = V934025 + 1. assign V249639 = V538269. assign V690398 = V156132 - 1. assign V885391 = V033530. assign V722442 = V690398 + 1. assign V576893 = V936375 - 1. assign V434005 = V364329. assign V093836 = V471539 - 1. assign V022590 = V048639. assign V267129 = V274135. assign V641831 = V934025. assign V698583 = V287876 + 1. assign V684032 = V578279 - 1. assign V830736 = V964558 - 1. assign V387777 = V709899 - 1. assign V061327 = V033530 - 1. assign V033530 = V934025 - 1. assign V709899 = V492895. assign V366394 = V402942 + 1. assign V765350 = V287876. assign V434428 = V274135 + 1. assign V581002 = V593011. assign V104711 = V262970 - 1. assign V364329 = V936375 + 1. assign V262970 = V885391. assign V148930 = V732261. assign V052944 = V885391. assign V752267 = V364329. assign V074558 = V033530. assign V769020 = V157605. assign V686994 = V427865. assign V933287 = V183994 + 1. assign V038278 = V287876 + 1. assign V551232 = V471539 + 1. assign V493636 = V675762. assign V427865 = V578279 - 1. assign V581749 = V677617 - 1. assign V396264 = V581002 - 1. assign V957780 = V249639 + 1. assign V677617 = V765350 - 1. assign V148933 = V773620 + 1. assign V080768 = V434005 + 1. assign V454631 = V800546 - 1. assign V568387 = V538269. assign V411815 = V366950 - 1. assign V986977 = 6. assign V533989 = V048639. assign V402942 = V698583. assign V471539 = V434428 + 1. assign V822809 = V233215 + 1. assign V048639 = V471539 - 1. assign V287876 = V492895 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V732261 = V074558 + 1. assign V274135 = V339384 + 1. assign V675762 = V885391 + 1. assign V242788 = V738222 - 1. assign V233215 = V427865. assign V179654 = V339384 + 1. assign V538269 = V364329 - 1. assign V911907 = V765350 - 1. assign V339384 = V934025. assign V399632 = V249639 + 1. assign V451893 = V048639 - 1. assign V690509 = V765350 + 1. assign V578279 = V732261. assign V347269 = V402942 - 1. assign V936375 = V627087. assign V932065 = V339384 + 1. assign V492895 = V339384 - 1. assign V934025 = V627087 + 1. assign V607361 = V156132 - 1. assign V564182 = V607361. assign V366950 = V287876 + 1. assign V544883 = V986977 + 1. assign V823581 = V578279 + 1. assign V183994 = V752267 + 1. assign V593011 = V048639. assign V792514 = V148933 - 1. assign V773620 = V690398. assign V627087 = V964558. assign V156132 = V434428 - 1. assign V157605 = V800546 + 1. assign V452886 = V578279 - 1. assign V019644 = V773620 + 1. assign V143725 = V934025 + 1. assign V800546 = V411815 - 1. assign V738222 = V934025 + 1. assign V249639 = V538269. assign V690398 = V156132 - 1. assign V885391 = V033530. assign V722442 = V690398 + 1. assign V576893 = V936375 - 1. assign V434005 = V364329. assign V093836 = V471539 - 1. assign V022590 = V048639. assign V267129 = V274135. assign V641831 = V934025. assign V698583 = V287876 + 1. assign V684032 = V578279 - 1. assign V830736 = V964558 - 1. assign V387777 = V709899 - 1. assign V061327 = V033530 - 1. assign V033530 = V934025 - 1. assign V709899 = V492895. assign V366394 = V402942 + 1. assign V765350 = V287876. assign V434428 = V274135 + 1. assign V581002 = V593011. assign V104711 = V262970 - 1. assign V364329 = V936375 + 1. assign V262970 = V885391. assign V148930 = V732261. assign V052944 = V885391. assign V752267 = V364329. assign V074558 = V033530. assign V769020 = V157605. assign V686994 = V427865. assign V933287 = V183994 + 1. assign V038278 = V287876 + 1. assign V551232 = V471539 + 1. assign V493636 = V675762. assign V427865 = V578279 - 1. assign V581749 = V677617 - 1. assign V396264 = V581002 - 1. assign V957780 = V249639 + 1. assign V677617 = V765350 - 1. assign V148933 = V773620 + 1. assign V080768 = V434005 + 1. assign V454631 = V800546 - 1. assign V568387 = V538269. assign V411815 = V366950 - 1. assign V986977 = 6. assign V533989 = V048639. assign V402942 = V698583. assign V471539 = V434428 + 1. assign V822809 = V233215 + 1. assign V048639 = V471539 - 1. assign V287876 = V492895 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV986977 = 6;\n\nFrom these direct assignment(s), we have: \nV544883 = V986977 + 1 = 6 + 1 =7;\nNo other variables can be derived from V544883;\nNo other variables can be derived from V986977;\n\nNow we have done all the calculations. Derived variables are:\nV986977 = 6;\nV544883 = 7;\n\nNow we have finished this problem. ANSWER:\nV544883\n", "role": "assistant" } ]

[ "V758610", "V338873" ]

[ { "content": "<context>\nassign V381207 = V860718 - 1. assign V868260 = V442486 + 1. assign V464342 = V749970 + 1. assign V749970 = V449050 + 1. assign V742105 = V274378 + 1. assign V601494 = V759530 - 1. assign V119131 = V874100 - 1. assign V001755 = V170146 - 1. assign V219091 = V494527. assign V260451 = V967589 + 1. assign V542281 = V228602 - 1. assign V721315 = V653154. assign V138867 = V896594 - 1. assign V929850 = V519209. assign V033393 = V967589 + 1. assign V274378 = V896594 + 1. assign V051864 = V399610 + 1. assign V456140 = V228602 - 1. assign V660878 = V601494 - 1. assign V653154 = V014033. assign V153117 = V228602 - 1. assign V277302 = V170146. assign V967589 = V759530. assign V070429 = V149140 + 1. assign V399610 = V052871. assign V108197 = V541698 + 1. assign V338873 = V758610. assign V071600 = V713102. assign V541698 = V195643 + 1. assign V401928 = V640405 - 1. assign V821791 = V713102 + 1. assign V610712 = V542281. assign V578383 = V149140 - 1. assign V449050 = V967589 + 1. assign V833947 = V051864 - 1. assign V519209 = V423527 + 1. assign V896594 = V449050. assign V767716 = V578383 - 1. assign V169040 = V582271 + 1. assign V927304 = V228602 - 1. assign V551957 = V371415 - 1. assign V325017 = V742105 - 1. assign V121944 = V228602 + 1. assign V759530 = V640405. assign V039697 = V654831 + 1. assign V222457 = V660878 + 1. assign V838622 = V274378. assign V582271 = V759530 + 1. assign V423527 = V927304 + 1. assign V691875 = V071600. assign V625911 = V153117 - 1. assign V405892 = V345109 - 1. assign V442486 = V071600 + 1. assign V874100 = V542281 - 1. assign V033108 = V001755 - 1. assign V048074 = V219091 + 1. assign V149140 = V759530 + 1. assign V758610 = 5. assign V236545 = V195643 - 1. assign V494527 = V582271 - 1. assign V860718 = V494527 + 1. assign V499907 = V927304 - 1. assign V184214 = V170146 + 1. assign V713102 = V640405 + 1. assign V052871 = V691875 - 1. assign V654831 = V640405 + 1. assign V194225 = V184214 - 1. assign V377644 = V277302 - 1. assign V228602 = V967589. assign V384060 = V713102. assign V028981 = V625911 - 1. assign V404995 = V654831 + 1. assign V681689 = V542281 + 1. assign V195643 = V071600 + 1. assign V778181 = V274378 + 1. assign V622636 = V219091. assign V170146 = V153117 + 1. assign V890387 = V654831. assign V014033 = V874100 + 1. assign V912891 = V494527. assign V673613 = V967589. assign V371415 = V377644 + 1. assign V131527 = V153117. assign V345109 = V874100. assign V617763 = V464342 + 1. assign V796164 = V601494 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V381207 = V860718 - 1. assign V868260 = V442486 + 1. assign V464342 = V749970 + 1. assign V749970 = V449050 + 1. assign V742105 = V274378 + 1. assign V601494 = V759530 - 1. assign V119131 = V874100 - 1. assign V001755 = V170146 - 1. assign V219091 = V494527. assign V260451 = V967589 + 1. assign V542281 = V228602 - 1. assign V721315 = V653154. assign V138867 = V896594 - 1. assign V929850 = V519209. assign V033393 = V967589 + 1. assign V274378 = V896594 + 1. assign V051864 = V399610 + 1. assign V456140 = V228602 - 1. assign V660878 = V601494 - 1. assign V653154 = V014033. assign V153117 = V228602 - 1. assign V277302 = V170146. assign V967589 = V759530. assign V070429 = V149140 + 1. assign V399610 = V052871. assign V108197 = V541698 + 1. assign V338873 = V758610. assign V071600 = V713102. assign V541698 = V195643 + 1. assign V401928 = V640405 - 1. assign V821791 = V713102 + 1. assign V610712 = V542281. assign V578383 = V149140 - 1. assign V449050 = V967589 + 1. assign V833947 = V051864 - 1. assign V519209 = V423527 + 1. assign V896594 = V449050. assign V767716 = V578383 - 1. assign V169040 = V582271 + 1. assign V927304 = V228602 - 1. assign V551957 = V371415 - 1. assign V325017 = V742105 - 1. assign V121944 = V228602 + 1. assign V759530 = V640405. assign V039697 = V654831 + 1. assign V222457 = V660878 + 1. assign V838622 = V274378. assign V582271 = V759530 + 1. assign V423527 = V927304 + 1. assign V691875 = V071600. assign V625911 = V153117 - 1. assign V405892 = V345109 - 1. assign V442486 = V071600 + 1. assign V874100 = V542281 - 1. assign V033108 = V001755 - 1. assign V048074 = V219091 + 1. assign V149140 = V759530 + 1. assign V758610 = 5. assign V236545 = V195643 - 1. assign V494527 = V582271 - 1. assign V860718 = V494527 + 1. assign V499907 = V927304 - 1. assign V184214 = V170146 + 1. assign V713102 = V640405 + 1. assign V052871 = V691875 - 1. assign V654831 = V640405 + 1. assign V194225 = V184214 - 1. assign V377644 = V277302 - 1. assign V228602 = V967589. assign V384060 = V713102. assign V028981 = V625911 - 1. assign V404995 = V654831 + 1. assign V681689 = V542281 + 1. assign V195643 = V071600 + 1. assign V778181 = V274378 + 1. assign V622636 = V219091. assign V170146 = V153117 + 1. assign V890387 = V654831. assign V014033 = V874100 + 1. assign V912891 = V494527. assign V673613 = V967589. assign V371415 = V377644 + 1. assign V131527 = V153117. assign V345109 = V874100. assign V617763 = V464342 + 1. assign V796164 = V601494 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV758610 = 5;\n\nFrom these direct assignment(s), we have: \nV338873 = V758610 = 5;\nNo other variables can be derived from V338873;\nNo other variables can be derived from V758610;\n\nNow we have done all the calculations. Derived variables are:\nV758610 = 5;\nV338873 = 5;\n\nNow we have finished this problem. ANSWER:\nV758610, V338873\n", "role": "assistant" } ]

[ "V444261", "V559729" ]

[ { "content": "<context>\nassign V967039 = V650174 - 1. assign V553843 = V011692 - 1. assign V475323 = V059839 - 1. assign V559729 = V444261. assign V215465 = V519391. assign V538835 = V470743 + 1. assign V876351 = V450682. assign V058790 = V965411 + 1. assign V232025 = V151246 - 1. assign V478709 = V971412 - 1. assign V986760 = V194202 - 1. assign V295330 = V183189. assign V883489 = V876513 - 1. assign V504855 = V883489 - 1. assign V183189 = V475323 - 1. assign V190663 = V792695. assign V011692 = V067402. assign V101166 = V883489 + 1. assign V319091 = V011692. assign V269381 = V182577 - 1. assign V117295 = V893450 - 1. assign V600813 = V026197 + 1. assign V500918 = V650174 + 1. assign V630215 = V059839 - 1. assign V162558 = V003056 - 1. assign V151246 = V782626 - 1. assign V884877 = V046729. assign V154013 = V059839. assign V655042 = V232025. assign V893450 = V884877. assign V204928 = V876513. assign V965411 = V462154 - 1. assign V328470 = V280591 - 1. assign V201864 = V630215 + 1. assign V003056 = V954266 - 1. assign V599308 = V232025. assign V465234 = V445116 - 1. assign V536660 = V206658 - 1. assign V053496 = V599308. assign V221955 = V630215. assign V182577 = V883489 + 1. assign V046729 = V650174 - 1. assign V813028 = V782626 + 1. assign V782626 = V650174 - 1. assign V792695 = V553843 + 1. assign V045640 = V792695 - 1. assign V170893 = V792695 - 1. assign V059839 = V500918 + 1. assign V399381 = V151246 - 1. assign V470743 = V782626 + 1. assign V920793 = V876513. assign V467371 = V215465. assign V074444 = V151246. assign V252063 = V295330. assign V847726 = V058790. assign V101772 = V206658. assign V862173 = V194202 + 1. assign V878713 = V813028 - 1. assign V954266 = V450682 + 1. assign V444261 = 3. assign V056902 = V101772 - 1. assign V525872 = V967039 + 1. assign V026197 = V884877 + 1. assign V668732 = V475323. assign V280591 = V553843. assign V468454 = V151246 + 1. assign V191483 = V232025. assign V769494 = V450865 + 1. assign V450682 = V883489. assign V849212 = V183189. assign V744201 = V191483 - 1. assign V462154 = V411896. assign V206658 = V500918. assign V691400 = V500918. assign V023807 = V792695. assign V445116 = V011692 - 1. assign V911417 = V876351 + 1. assign V067402 = V650174. assign V411896 = V067402. assign V194202 = V182577 - 1. assign V519391 = V713972 + 1. assign V876513 = V059839. assign V971412 = V183189. assign V340701 = V500918 - 1. assign V713972 = V500918 + 1. assign V450865 = V059839.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V967039 = V650174 - 1. assign V553843 = V011692 - 1. assign V475323 = V059839 - 1. assign V559729 = V444261. assign V215465 = V519391. assign V538835 = V470743 + 1. assign V876351 = V450682. assign V058790 = V965411 + 1. assign V232025 = V151246 - 1. assign V478709 = V971412 - 1. assign V986760 = V194202 - 1. assign V295330 = V183189. assign V883489 = V876513 - 1. assign V504855 = V883489 - 1. assign V183189 = V475323 - 1. assign V190663 = V792695. assign V011692 = V067402. assign V101166 = V883489 + 1. assign V319091 = V011692. assign V269381 = V182577 - 1. assign V117295 = V893450 - 1. assign V600813 = V026197 + 1. assign V500918 = V650174 + 1. assign V630215 = V059839 - 1. assign V162558 = V003056 - 1. assign V151246 = V782626 - 1. assign V884877 = V046729. assign V154013 = V059839. assign V655042 = V232025. assign V893450 = V884877. assign V204928 = V876513. assign V965411 = V462154 - 1. assign V328470 = V280591 - 1. assign V201864 = V630215 + 1. assign V003056 = V954266 - 1. assign V599308 = V232025. assign V465234 = V445116 - 1. assign V536660 = V206658 - 1. assign V053496 = V599308. assign V221955 = V630215. assign V182577 = V883489 + 1. assign V046729 = V650174 - 1. assign V813028 = V782626 + 1. assign V782626 = V650174 - 1. assign V792695 = V553843 + 1. assign V045640 = V792695 - 1. assign V170893 = V792695 - 1. assign V059839 = V500918 + 1. assign V399381 = V151246 - 1. assign V470743 = V782626 + 1. assign V920793 = V876513. assign V467371 = V215465. assign V074444 = V151246. assign V252063 = V295330. assign V847726 = V058790. assign V101772 = V206658. assign V862173 = V194202 + 1. assign V878713 = V813028 - 1. assign V954266 = V450682 + 1. assign V444261 = 3. assign V056902 = V101772 - 1. assign V525872 = V967039 + 1. assign V026197 = V884877 + 1. assign V668732 = V475323. assign V280591 = V553843. assign V468454 = V151246 + 1. assign V191483 = V232025. assign V769494 = V450865 + 1. assign V450682 = V883489. assign V849212 = V183189. assign V744201 = V191483 - 1. assign V462154 = V411896. assign V206658 = V500918. assign V691400 = V500918. assign V023807 = V792695. assign V445116 = V011692 - 1. assign V911417 = V876351 + 1. assign V067402 = V650174. assign V411896 = V067402. assign V194202 = V182577 - 1. assign V519391 = V713972 + 1. assign V876513 = V059839. assign V971412 = V183189. assign V340701 = V500918 - 1. assign V713972 = V500918 + 1. assign V450865 = V059839.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV444261 = 3;\n\nFrom these direct assignment(s), we have: \nV559729 = V444261 = 3;\nNo other variables can be derived from V559729;\nNo other variables can be derived from V444261;\n\nNow we have done all the calculations. Derived variables are:\nV444261 = 3;\nV559729 = 3;\n\nNow we have finished this problem. ANSWER:\nV444261, V559729\n", "role": "assistant" } ]

[ "V340806" ]

[ { "content": "<context>\nassign V299777 = V344940 - 1. assign V291242 = V355069 + 1. assign V717991 = V077788 + 1. assign V654685 = V980491 + 1. assign V545395 = V954753 + 1. assign V377333 = V151157 + 1. assign V290775 = 9. assign V817655 = V231858 - 1. assign V610136 = V903104. assign V470904 = V139845 + 1. assign V223115 = V842122 - 1. assign V001338 = V617977. assign V056855 = V535315 - 1. assign V754536 = V610136 + 1. assign V340806 = V290775 - 1. assign V859874 = V924797. assign V851358 = V779499. assign V279177 = V223115. assign V903104 = V617977. assign V773327 = V204906 + 1. assign V219043 = V632962 + 1. assign V491092 = V952391 + 1. assign V417952 = V001338 - 1. assign V344940 = V717991. assign V954753 = V909169. assign V448008 = V842122 - 1. assign V216872 = V779499. assign V137639 = V198233 - 1. assign V749863 = V909169 + 1. assign V647603 = V924797. assign V815069 = V139845. assign V286895 = V851358 - 1. assign V842122 = V717991 + 1. assign V204906 = V716014 + 1. assign V231858 = V061078. assign V526662 = V579793 - 1. assign V685159 = V139845 + 1. assign V579793 = V139845 + 1. assign V479369 = V903104 - 1. assign V980491 = V531630 + 1. assign V210123 = V618767. assign V558219 = V952391. assign V924797 = V889057 - 1. assign V617977 = V344940 + 1. assign V632962 = V231858 - 1. assign V022555 = V754536 - 1. assign V167631 = V552105. assign V673058 = V139845 + 1. assign V355069 = V617977. assign V779499 = V903104. assign V952391 = V001338 + 1. assign V056844 = V037534 + 1. assign V151157 = V851358 + 1. assign V818200 = V137639 + 1. assign V237302 = V056844. assign V409743 = V903104 + 1. assign V352375 = V137639. assign V233592 = V779499. assign V129713 = V545395 + 1. assign V164233 = V448008. assign V871195 = V617977 - 1. assign V489037 = V414036 - 1. assign V884353 = V952391. assign V414036 = V139845 - 1. assign V552105 = V903104 + 1. assign V139845 = V077788. assign V482274 = V531630 - 1. assign V861388 = V618767 - 1. assign V705627 = V139845 - 1. assign V037534 = V952391 - 1. assign V716014 = V717991 + 1. assign V768560 = V037534 - 1. assign V535315 = V909169 - 1. assign V017615 = V889057 - 1. assign V696528 = V673058. assign V303132 = V815069. assign V682496 = V716014 - 1. assign V198233 = V903104 + 1. assign V651079 = V448008 + 1. assign V094783 = V909169 - 1. assign V618767 = V617977 + 1. assign V061078 = V617977 + 1. assign V889057 = V717991 + 1. assign V790053 = V552105. assign V531630 = V909169. assign V909169 = V717991 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V299777 = V344940 - 1. assign V291242 = V355069 + 1. assign V717991 = V077788 + 1. assign V654685 = V980491 + 1. assign V545395 = V954753 + 1. assign V377333 = V151157 + 1. assign V290775 = 9. assign V817655 = V231858 - 1. assign V610136 = V903104. assign V470904 = V139845 + 1. assign V223115 = V842122 - 1. assign V001338 = V617977. assign V056855 = V535315 - 1. assign V754536 = V610136 + 1. assign V340806 = V290775 - 1. assign V859874 = V924797. assign V851358 = V779499. assign V279177 = V223115. assign V903104 = V617977. assign V773327 = V204906 + 1. assign V219043 = V632962 + 1. assign V491092 = V952391 + 1. assign V417952 = V001338 - 1. assign V344940 = V717991. assign V954753 = V909169. assign V448008 = V842122 - 1. assign V216872 = V779499. assign V137639 = V198233 - 1. assign V749863 = V909169 + 1. assign V647603 = V924797. assign V815069 = V139845. assign V286895 = V851358 - 1. assign V842122 = V717991 + 1. assign V204906 = V716014 + 1. assign V231858 = V061078. assign V526662 = V579793 - 1. assign V685159 = V139845 + 1. assign V579793 = V139845 + 1. assign V479369 = V903104 - 1. assign V980491 = V531630 + 1. assign V210123 = V618767. assign V558219 = V952391. assign V924797 = V889057 - 1. assign V617977 = V344940 + 1. assign V632962 = V231858 - 1. assign V022555 = V754536 - 1. assign V167631 = V552105. assign V673058 = V139845 + 1. assign V355069 = V617977. assign V779499 = V903104. assign V952391 = V001338 + 1. assign V056844 = V037534 + 1. assign V151157 = V851358 + 1. assign V818200 = V137639 + 1. assign V237302 = V056844. assign V409743 = V903104 + 1. assign V352375 = V137639. assign V233592 = V779499. assign V129713 = V545395 + 1. assign V164233 = V448008. assign V871195 = V617977 - 1. assign V489037 = V414036 - 1. assign V884353 = V952391. assign V414036 = V139845 - 1. assign V552105 = V903104 + 1. assign V139845 = V077788. assign V482274 = V531630 - 1. assign V861388 = V618767 - 1. assign V705627 = V139845 - 1. assign V037534 = V952391 - 1. assign V716014 = V717991 + 1. assign V768560 = V037534 - 1. assign V535315 = V909169 - 1. assign V017615 = V889057 - 1. assign V696528 = V673058. assign V303132 = V815069. assign V682496 = V716014 - 1. assign V198233 = V903104 + 1. assign V651079 = V448008 + 1. assign V094783 = V909169 - 1. assign V618767 = V617977 + 1. assign V061078 = V617977 + 1. assign V889057 = V717991 + 1. assign V790053 = V552105. assign V531630 = V909169. assign V909169 = V717991 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV290775 = 9;\n\nFrom these direct assignment(s), we have: \nV340806 = V290775 - 1 = 9 - 1 =8;\nNo other variables can be derived from V340806;\nNo other variables can be derived from V290775;\n\nNow we have done all the calculations. Derived variables are:\nV290775 = 9;\nV340806 = 8;\n\nNow we have finished this problem. ANSWER:\nV340806\n", "role": "assistant" } ]

[ "V959309" ]

[ { "content": "<context>\nassign V025434 = V940434. assign V027314 = V769779. assign V852701 = V407578. assign V300829 = V685147 - 1. assign V458492 = V471282 - 1. assign V077724 = V986569 - 1. assign V564858 = V454333 - 1. assign V988729 = V984424 + 1. assign V175964 = V550997 - 1. assign V769779 = V550997. assign V579227 = V454333 + 1. assign V381586 = V174495 + 1. assign V594253 = V966170. assign V966508 = V027314 - 1. assign V591300 = V169845 - 1. assign V383172 = V822613 + 1. assign V435798 = V463351. assign V861471 = V454333 - 1. assign V234001 = V940434 + 1. assign V251195 = V788775 - 1. assign V261956 = V966170 + 1. assign V685147 = V471282 + 1. assign V872235 = V261956 - 1. assign V390757 = V618763. assign V022984 = V771617. assign V771617 = V964719 - 1. assign V174495 = V964719. assign V147123 = V261956. assign V861876 = V174495 - 1. assign V365528 = V027314. assign V964719 = V788775 - 1. assign V084547 = V984424 - 1. assign V618763 = V169845 - 1. assign V326727 = V234001. assign V306600 = V771617. assign V141856 = V917887 - 1. assign V969725 = V234001 - 1. assign V531650 = V407578 + 1. assign V517022 = V822613 + 1. assign V359847 = V084547. assign V407578 = V579227. assign V333713 = V471282 + 1. assign V984424 = V550997 + 1. assign V471282 = V986569 - 1. assign V898472 = V090352 + 1. assign V986569 = V964719 - 1. assign V997423 = V407578 + 1. assign V090352 = V550997 + 1. assign V828708 = V964719. assign V764720 = V307418 - 1. assign V169845 = V550997. assign V229480 = V090352 + 1. assign V279608 = V251195. assign V092361 = V454333. assign V589391 = V251195. assign V128352 = V531650 - 1. assign V220597 = V550997 - 1. assign V940434 = V435798 + 1. assign V454333 = V550997 + 1. assign V788775 = V550997. assign V156797 = V940479 + 1. assign V442653 = V251195 - 1. assign V844426 = V471282. assign V307418 = V917887 - 1. assign V597786 = V822613 + 1. assign V463351 = V550997. assign V966170 = V788775. assign V049655 = V090352. assign V555968 = V390757 + 1. assign V210243 = V966170. assign V940479 = V463351 - 1. assign V936686 = V220597 + 1. assign V236289 = V128352 + 1. assign V119778 = V442653 - 1. assign V646113 = V861471. assign V399692 = V959309 + 1. assign V917887 = V471282 + 1. assign V822613 = V997423 + 1. assign V167650 = V852701. assign V441885 = V788775 - 1. assign V116120 = V090352. assign V959309 = 4. assign V537469 = V771617 - 1. assign V196851 = V531650 - 1. assign V137865 = V251195 + 1. assign V556858 = V564858 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V025434 = V940434. assign V027314 = V769779. assign V852701 = V407578. assign V300829 = V685147 - 1. assign V458492 = V471282 - 1. assign V077724 = V986569 - 1. assign V564858 = V454333 - 1. assign V988729 = V984424 + 1. assign V175964 = V550997 - 1. assign V769779 = V550997. assign V579227 = V454333 + 1. assign V381586 = V174495 + 1. assign V594253 = V966170. assign V966508 = V027314 - 1. assign V591300 = V169845 - 1. assign V383172 = V822613 + 1. assign V435798 = V463351. assign V861471 = V454333 - 1. assign V234001 = V940434 + 1. assign V251195 = V788775 - 1. assign V261956 = V966170 + 1. assign V685147 = V471282 + 1. assign V872235 = V261956 - 1. assign V390757 = V618763. assign V022984 = V771617. assign V771617 = V964719 - 1. assign V174495 = V964719. assign V147123 = V261956. assign V861876 = V174495 - 1. assign V365528 = V027314. assign V964719 = V788775 - 1. assign V084547 = V984424 - 1. assign V618763 = V169845 - 1. assign V326727 = V234001. assign V306600 = V771617. assign V141856 = V917887 - 1. assign V969725 = V234001 - 1. assign V531650 = V407578 + 1. assign V517022 = V822613 + 1. assign V359847 = V084547. assign V407578 = V579227. assign V333713 = V471282 + 1. assign V984424 = V550997 + 1. assign V471282 = V986569 - 1. assign V898472 = V090352 + 1. assign V986569 = V964719 - 1. assign V997423 = V407578 + 1. assign V090352 = V550997 + 1. assign V828708 = V964719. assign V764720 = V307418 - 1. assign V169845 = V550997. assign V229480 = V090352 + 1. assign V279608 = V251195. assign V092361 = V454333. assign V589391 = V251195. assign V128352 = V531650 - 1. assign V220597 = V550997 - 1. assign V940434 = V435798 + 1. assign V454333 = V550997 + 1. assign V788775 = V550997. assign V156797 = V940479 + 1. assign V442653 = V251195 - 1. assign V844426 = V471282. assign V307418 = V917887 - 1. assign V597786 = V822613 + 1. assign V463351 = V550997. assign V966170 = V788775. assign V049655 = V090352. assign V555968 = V390757 + 1. assign V210243 = V966170. assign V940479 = V463351 - 1. assign V936686 = V220597 + 1. assign V236289 = V128352 + 1. assign V119778 = V442653 - 1. assign V646113 = V861471. assign V399692 = V959309 + 1. assign V917887 = V471282 + 1. assign V822613 = V997423 + 1. assign V167650 = V852701. assign V441885 = V788775 - 1. assign V116120 = V090352. assign V959309 = 4. assign V537469 = V771617 - 1. assign V196851 = V531650 - 1. assign V137865 = V251195 + 1. assign V556858 = V564858 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV959309 = 4;\n\nFrom these direct assignment(s), we have: \nV399692 = V959309 + 1 = 4 + 1 =5;\nNo other variables can be derived from V399692;\nNo other variables can be derived from V959309;\n\nNow we have done all the calculations. Derived variables are:\nV959309 = 4;\nV399692 = 5;\n\nNow we have finished this problem. ANSWER:\nV959309\n", "role": "assistant" } ]

[ "V389864" ]

[ { "content": "<context>\nassign V707557 = V597546 - 1. assign V534201 = V172582. assign V430734 = V343112 - 1. assign V026596 = V580256 + 1. assign V557109 = V352284. assign V633810 = V791354. assign V029838 = V357389 + 1. assign V368734 = V038251 + 1. assign V873385 = V166305. assign V515803 = V269889. assign V166305 = V101737 - 1. assign V280754 = V337025 + 1. assign V352284 = V534745. assign V548097 = V515803 + 1. assign V118679 = V662107 - 1. assign V534524 = V662107. assign V318983 = V580256 + 1. assign V578807 = V707557 - 1. assign V038251 = V662107 + 1. assign V783004 = V051626 - 1. assign V785020 = V318983. assign V177075 = V534201 + 1. assign V791679 = V662107. assign V389864 = 6. assign V917650 = V172582 + 1. assign V100293 = V534745 + 1. assign V343112 = V873385 - 1. assign V818597 = V597546. assign V744726 = V139376 - 1. assign V744750 = V170023. assign V807044 = V219527 - 1. assign V339298 = V318983. assign V662107 = V172582. assign V139376 = V166305. assign V876659 = V139376. assign V112900 = V339298. assign V580256 = V662107 + 1. assign V896694 = V785020 + 1. assign V402613 = V172582 - 1. assign V161115 = V597546 + 1. assign V008465 = V662107. assign V045500 = V580256. assign V269889 = V791679 + 1. assign V311720 = V736824 + 1. assign V122708 = V172582. assign V548312 = V172582 + 1. assign V302829 = V389864 - 1. assign V907571 = V807044 + 1. assign V337025 = V744750. assign V534745 = V515803. assign V527496 = V402613 - 1. assign V357517 = V051626 + 1. assign V051626 = V166305. assign V548213 = V791354 - 1. assign V579190 = V318983 + 1. assign V644020 = V908664 + 1. assign V736824 = V534524 - 1. assign V715956 = V139376. assign V092413 = V633810 - 1. assign V036762 = V527496. assign V170023 = V139376 - 1. assign V199477 = V402613. assign V559572 = V339298 - 1. assign V954333 = V166305 - 1. assign V746123 = V908664 - 1. assign V915550 = V791354 + 1. assign V490686 = V139376. assign V349162 = V161115 + 1. assign V101737 = V172582 + 1. assign V400133 = V534524. assign V908664 = V170023 + 1. assign V357389 = V580256 - 1. assign V597546 = V269889 - 1. assign V634424 = V908664 + 1. assign V553095 = V908664. assign V791354 = V791679. assign V219527 = V791354. assign V349583 = V357389 + 1. assign V743963 = V876659. assign V768296 = V744726. assign V138499 = V517623 + 1. assign V823495 = V357517. assign V195741 = V736824 - 1. assign V517623 = V515803 + 1. assign V661652 = V580256. assign V453752 = V744750 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V707557 = V597546 - 1. assign V534201 = V172582. assign V430734 = V343112 - 1. assign V026596 = V580256 + 1. assign V557109 = V352284. assign V633810 = V791354. assign V029838 = V357389 + 1. assign V368734 = V038251 + 1. assign V873385 = V166305. assign V515803 = V269889. assign V166305 = V101737 - 1. assign V280754 = V337025 + 1. assign V352284 = V534745. assign V548097 = V515803 + 1. assign V118679 = V662107 - 1. assign V534524 = V662107. assign V318983 = V580256 + 1. assign V578807 = V707557 - 1. assign V038251 = V662107 + 1. assign V783004 = V051626 - 1. assign V785020 = V318983. assign V177075 = V534201 + 1. assign V791679 = V662107. assign V389864 = 6. assign V917650 = V172582 + 1. assign V100293 = V534745 + 1. assign V343112 = V873385 - 1. assign V818597 = V597546. assign V744726 = V139376 - 1. assign V744750 = V170023. assign V807044 = V219527 - 1. assign V339298 = V318983. assign V662107 = V172582. assign V139376 = V166305. assign V876659 = V139376. assign V112900 = V339298. assign V580256 = V662107 + 1. assign V896694 = V785020 + 1. assign V402613 = V172582 - 1. assign V161115 = V597546 + 1. assign V008465 = V662107. assign V045500 = V580256. assign V269889 = V791679 + 1. assign V311720 = V736824 + 1. assign V122708 = V172582. assign V548312 = V172582 + 1. assign V302829 = V389864 - 1. assign V907571 = V807044 + 1. assign V337025 = V744750. assign V534745 = V515803. assign V527496 = V402613 - 1. assign V357517 = V051626 + 1. assign V051626 = V166305. assign V548213 = V791354 - 1. assign V579190 = V318983 + 1. assign V644020 = V908664 + 1. assign V736824 = V534524 - 1. assign V715956 = V139376. assign V092413 = V633810 - 1. assign V036762 = V527496. assign V170023 = V139376 - 1. assign V199477 = V402613. assign V559572 = V339298 - 1. assign V954333 = V166305 - 1. assign V746123 = V908664 - 1. assign V915550 = V791354 + 1. assign V490686 = V139376. assign V349162 = V161115 + 1. assign V101737 = V172582 + 1. assign V400133 = V534524. assign V908664 = V170023 + 1. assign V357389 = V580256 - 1. assign V597546 = V269889 - 1. assign V634424 = V908664 + 1. assign V553095 = V908664. assign V791354 = V791679. assign V219527 = V791354. assign V349583 = V357389 + 1. assign V743963 = V876659. assign V768296 = V744726. assign V138499 = V517623 + 1. assign V823495 = V357517. assign V195741 = V736824 - 1. assign V517623 = V515803 + 1. assign V661652 = V580256. assign V453752 = V744750 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV389864 = 6;\n\nFrom these direct assignment(s), we have: \nV302829 = V389864 - 1 = 6 - 1 =5;\nNo other variables can be derived from V302829;\nNo other variables can be derived from V389864;\n\nNow we have done all the calculations. Derived variables are:\nV389864 = 6;\nV302829 = 5;\n\nNow we have finished this problem. ANSWER:\nV389864\n", "role": "assistant" } ]

[ "V022023" ]

[ { "content": "<context>\nassign V778699 = V408243 + 1. assign V207082 = V022023 + 1. assign V759888 = V687201. assign V088545 = V475731. assign V911804 = V997059 - 1. assign V413520 = V687758. assign V305644 = V708246. assign V556543 = V401524 - 1. assign V877377 = V365524 - 1. assign V512187 = V659898 - 1. assign V354584 = V667563. assign V408243 = V615350 + 1. assign V840562 = V912765 - 1. assign V319299 = V512187 - 1. assign V635338 = V866801 - 1. assign V776675 = V212707 - 1. assign V199642 = V475731 - 1. assign V438851 = V659898 - 1. assign V626335 = V841431 - 1. assign V932781 = V615350 + 1. assign V323410 = V319299. assign V777788 = V667563 - 1. assign V545338 = V890467 - 1. assign V550150 = V413520 - 1. assign V192895 = V408243 + 1. assign V085406 = V512187 + 1. assign V946903 = V932781 - 1. assign V935280 = V049439. assign V477167 = V125004 + 1. assign V072428 = V659898 - 1. assign V841431 = V687758. assign V479935 = V877819 + 1. assign V558678 = V304490 - 1. assign V866801 = V725205. assign V570067 = V932781 + 1. assign V398505 = V477167. assign V599155 = V912765 - 1. assign V439487 = V570067. assign V944387 = V512187. assign V807623 = V408243 - 1. assign V365524 = V006691 - 1. assign V877819 = V866801 + 1. assign V304490 = V841431 + 1. assign V602661 = V475731 + 1. assign V722283 = V725205 + 1. assign V687201 = V602661. assign V537696 = V473756 - 1. assign V667563 = V269853. assign V212707 = V841431 - 1. assign V093876 = V473756 + 1. assign V583167 = V811407 + 1. assign V175049 = V473756. assign V380294 = V175049 - 1. assign V687758 = V659898 + 1. assign V269518 = V323410. assign V368088 = V659157. assign V401524 = V725205 - 1. assign V007842 = V175049 + 1. assign V033980 = V659157 - 1. assign V046861 = V380294 - 1. assign V125004 = V512187 + 1. assign V695754 = V304490. assign V269853 = V085406 + 1. assign V890467 = V192895 + 1. assign V475731 = V659898 - 1. assign V997059 = V006691. assign V977464 = V725205 - 1. assign V811407 = V615350 - 1. assign V912765 = V368088. assign V567340 = V305644. assign V048254 = V811407 - 1. assign V022023 = 2. assign V141655 = V556543. assign V031921 = V368088 - 1. assign V049439 = V932781. assign V006691 = V687758 - 1. assign V659157 = V866801. assign V473756 = V687758 + 1. assign V952343 = V512187 - 1. assign V708246 = V401524 - 1. assign V735554 = V841431 + 1. assign V725205 = V550150 - 1. assign V097070 = V866801 - 1. assign V626939 = V413520 - 1. assign V544342 = V735554 - 1. assign V615350 = V841431 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V778699 = V408243 + 1. assign V207082 = V022023 + 1. assign V759888 = V687201. assign V088545 = V475731. assign V911804 = V997059 - 1. assign V413520 = V687758. assign V305644 = V708246. assign V556543 = V401524 - 1. assign V877377 = V365524 - 1. assign V512187 = V659898 - 1. assign V354584 = V667563. assign V408243 = V615350 + 1. assign V840562 = V912765 - 1. assign V319299 = V512187 - 1. assign V635338 = V866801 - 1. assign V776675 = V212707 - 1. assign V199642 = V475731 - 1. assign V438851 = V659898 - 1. assign V626335 = V841431 - 1. assign V932781 = V615350 + 1. assign V323410 = V319299. assign V777788 = V667563 - 1. assign V545338 = V890467 - 1. assign V550150 = V413520 - 1. assign V192895 = V408243 + 1. assign V085406 = V512187 + 1. assign V946903 = V932781 - 1. assign V935280 = V049439. assign V477167 = V125004 + 1. assign V072428 = V659898 - 1. assign V841431 = V687758. assign V479935 = V877819 + 1. assign V558678 = V304490 - 1. assign V866801 = V725205. assign V570067 = V932781 + 1. assign V398505 = V477167. assign V599155 = V912765 - 1. assign V439487 = V570067. assign V944387 = V512187. assign V807623 = V408243 - 1. assign V365524 = V006691 - 1. assign V877819 = V866801 + 1. assign V304490 = V841431 + 1. assign V602661 = V475731 + 1. assign V722283 = V725205 + 1. assign V687201 = V602661. assign V537696 = V473756 - 1. assign V667563 = V269853. assign V212707 = V841431 - 1. assign V093876 = V473756 + 1. assign V583167 = V811407 + 1. assign V175049 = V473756. assign V380294 = V175049 - 1. assign V687758 = V659898 + 1. assign V269518 = V323410. assign V368088 = V659157. assign V401524 = V725205 - 1. assign V007842 = V175049 + 1. assign V033980 = V659157 - 1. assign V046861 = V380294 - 1. assign V125004 = V512187 + 1. assign V695754 = V304490. assign V269853 = V085406 + 1. assign V890467 = V192895 + 1. assign V475731 = V659898 - 1. assign V997059 = V006691. assign V977464 = V725205 - 1. assign V811407 = V615350 - 1. assign V912765 = V368088. assign V567340 = V305644. assign V048254 = V811407 - 1. assign V022023 = 2. assign V141655 = V556543. assign V031921 = V368088 - 1. assign V049439 = V932781. assign V006691 = V687758 - 1. assign V659157 = V866801. assign V473756 = V687758 + 1. assign V952343 = V512187 - 1. assign V708246 = V401524 - 1. assign V735554 = V841431 + 1. assign V725205 = V550150 - 1. assign V097070 = V866801 - 1. assign V626939 = V413520 - 1. assign V544342 = V735554 - 1. assign V615350 = V841431 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV022023 = 2;\n\nFrom these direct assignment(s), we have: \nV207082 = V022023 + 1 = 2 + 1 =3;\nNo other variables can be derived from V207082;\nNo other variables can be derived from V022023;\n\nNow we have done all the calculations. Derived variables are:\nV022023 = 2;\nV207082 = 3;\n\nNow we have finished this problem. ANSWER:\nV022023\n", "role": "assistant" } ]

[ "V608242" ]

[ { "content": "<context>\nassign V713246 = V691469 - 1. assign V937174 = V423658 - 1. assign V055276 = V178036. assign V625605 = V740864 + 1. assign V691469 = V966477. assign V335821 = V937174 - 1. assign V738614 = V658437. assign V330487 = V366809. assign V966477 = V596930. assign V892928 = V345575 - 1. assign V641734 = V870969. assign V694119 = V898300. assign V521167 = V691469 - 1. assign V740864 = V044715 + 1. assign V876998 = V400035 - 1. assign V215416 = V973131. assign V160323 = V462763. assign V310504 = V304795 + 1. assign V029816 = V556292 - 1. assign V636452 = V856615. assign V817736 = V029816 - 1. assign V400035 = V479486. assign V973131 = V023226. assign V772945 = V926331 - 1. assign V063284 = V691469. assign V058236 = V722133 + 1. assign V335220 = V113967 + 1. assign V300571 = V966477 - 1. assign V556292 = V973131 + 1. assign V695596 = V044715 + 1. assign V948647 = V926331. assign V650071 = V521167 + 1. assign V722133 = V284361. assign V053326 = V841314. assign V846099 = V973131 - 1. assign V539591 = V521167 - 1. assign V113967 = V870969. assign V462763 = V937174. assign V779610 = V947291. assign V870969 = V973131. assign V366809 = V569876 - 1. assign V729638 = V608242 - 1. assign V856615 = V966477 + 1. assign V569876 = V966477. assign V898300 = V892928 - 1. assign V666065 = V521167. assign V841314 = V521167. assign V375417 = V814286 - 1. assign V658437 = V284361 - 1. assign V947291 = V029816 + 1. assign V176914 = V772945 - 1. assign V596930 = V973131 + 1. assign V953633 = V691469 + 1. assign V433666 = V953633 - 1. assign V814286 = V479486. assign V681343 = V846099 - 1. assign V759443 = V841314 + 1. assign V278605 = V135756 + 1. assign V503690 = V479486 + 1. assign V103969 = V650071 + 1. assign V193410 = V966477 - 1. assign V644166 = V044715. assign V304795 = V937174 + 1. assign V804846 = V521167. assign V490804 = V176914 + 1. assign V345575 = V973131 - 1. assign V423658 = V023226 + 1. assign V135756 = V569876. assign V284361 = V556292 + 1. assign V479486 = V423658 - 1. assign V455919 = V103969. assign V303263 = V335821. assign V081984 = V135756 - 1. assign V258221 = V691469. assign V926331 = V691469. assign V139395 = V722133 + 1. assign V692691 = V859797. assign V044715 = V870969 + 1. assign V003072 = V859797 - 1. assign V178036 = V193410 - 1. assign V292545 = V666065 + 1. assign V859797 = V023226 - 1. assign V393792 = V023226 + 1. assign V608242 = 8. assign V263022 = V740864 - 1. assign V197887 = V335220 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V713246 = V691469 - 1. assign V937174 = V423658 - 1. assign V055276 = V178036. assign V625605 = V740864 + 1. assign V691469 = V966477. assign V335821 = V937174 - 1. assign V738614 = V658437. assign V330487 = V366809. assign V966477 = V596930. assign V892928 = V345575 - 1. assign V641734 = V870969. assign V694119 = V898300. assign V521167 = V691469 - 1. assign V740864 = V044715 + 1. assign V876998 = V400035 - 1. assign V215416 = V973131. assign V160323 = V462763. assign V310504 = V304795 + 1. assign V029816 = V556292 - 1. assign V636452 = V856615. assign V817736 = V029816 - 1. assign V400035 = V479486. assign V973131 = V023226. assign V772945 = V926331 - 1. assign V063284 = V691469. assign V058236 = V722133 + 1. assign V335220 = V113967 + 1. assign V300571 = V966477 - 1. assign V556292 = V973131 + 1. assign V695596 = V044715 + 1. assign V948647 = V926331. assign V650071 = V521167 + 1. assign V722133 = V284361. assign V053326 = V841314. assign V846099 = V973131 - 1. assign V539591 = V521167 - 1. assign V113967 = V870969. assign V462763 = V937174. assign V779610 = V947291. assign V870969 = V973131. assign V366809 = V569876 - 1. assign V729638 = V608242 - 1. assign V856615 = V966477 + 1. assign V569876 = V966477. assign V898300 = V892928 - 1. assign V666065 = V521167. assign V841314 = V521167. assign V375417 = V814286 - 1. assign V658437 = V284361 - 1. assign V947291 = V029816 + 1. assign V176914 = V772945 - 1. assign V596930 = V973131 + 1. assign V953633 = V691469 + 1. assign V433666 = V953633 - 1. assign V814286 = V479486. assign V681343 = V846099 - 1. assign V759443 = V841314 + 1. assign V278605 = V135756 + 1. assign V503690 = V479486 + 1. assign V103969 = V650071 + 1. assign V193410 = V966477 - 1. assign V644166 = V044715. assign V304795 = V937174 + 1. assign V804846 = V521167. assign V490804 = V176914 + 1. assign V345575 = V973131 - 1. assign V423658 = V023226 + 1. assign V135756 = V569876. assign V284361 = V556292 + 1. assign V479486 = V423658 - 1. assign V455919 = V103969. assign V303263 = V335821. assign V081984 = V135756 - 1. assign V258221 = V691469. assign V926331 = V691469. assign V139395 = V722133 + 1. assign V692691 = V859797. assign V044715 = V870969 + 1. assign V003072 = V859797 - 1. assign V178036 = V193410 - 1. assign V292545 = V666065 + 1. assign V859797 = V023226 - 1. assign V393792 = V023226 + 1. assign V608242 = 8. assign V263022 = V740864 - 1. assign V197887 = V335220 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV608242 = 8;\n\nFrom these direct assignment(s), we have: \nV729638 = V608242 - 1 = 8 - 1 =7;\nNo other variables can be derived from V729638;\nNo other variables can be derived from V608242;\n\nNow we have done all the calculations. Derived variables are:\nV608242 = 8;\nV729638 = 7;\n\nNow we have finished this problem. ANSWER:\nV608242\n", "role": "assistant" } ]

[ "V789450", "V529662" ]

[ { "content": "<context>\nassign V543657 = V495132 - 1. assign V202857 = V029826 - 1. assign V740731 = V238872. assign V889388 = V709510 + 1. assign V305522 = V305765. assign V632696 = V495132. assign V865076 = V889388. assign V198687 = V334664 + 1. assign V936551 = V536572 + 1. assign V410170 = V378219 + 1. assign V929826 = V127657. assign V721896 = V415792. assign V046866 = V500184. assign V517517 = V415792 - 1. assign V507636 = V417502 + 1. assign V417502 = V637793 + 1. assign V799269 = V692026 - 1. assign V504420 = V419087 + 1. assign V112591 = V600242. assign V419087 = V900719 - 1. assign V376365 = V517517 + 1. assign V695919 = V147372 + 1. assign V706114 = V490496. assign V536572 = V464226. assign V398030 = V517517 + 1. assign V029826 = V517517 + 1. assign V305765 = V464226 - 1. assign V740468 = V465879 + 1. assign V726519 = V536572. assign V452884 = V936551. assign V076944 = V202857 + 1. assign V000755 = V495132 + 1. assign V500084 = V500184 + 1. assign V465879 = V238872. assign V435300 = V879554. assign V253770 = V464226 - 1. assign V490496 = V464226. assign V733389 = V517517 + 1. assign V284458 = V562054 + 1. assign V426455 = V976373 + 1. assign V637793 = V490496 - 1. assign V652072 = V238872. assign V378219 = V733389. assign V529662 = V789450. assign V289382 = V495132 - 1. assign V762682 = V652072 - 1. assign V495132 = V692026 + 1. assign V600242 = V965697 + 1. assign V043997 = V600242 + 1. assign V334664 = V721896. assign V367932 = V334664. assign V084986 = V933302. assign V089705 = V305522. assign V933302 = V517517 - 1. assign V937959 = V740468. assign V900719 = V029826 + 1. assign V405938 = V976373. assign V147372 = V692026 + 1. assign V976373 = V397422 - 1. assign V397422 = V334664. assign V879554 = V419087 + 1. assign V709510 = V415792 + 1. assign V902711 = V464226 - 1. assign V146250 = V084986 + 1. assign V127657 = V507636 + 1. assign V032743 = V536572 - 1. assign V934827 = V933302 + 1. assign V444341 = V900719 - 1. assign V692026 = V933302 + 1. assign V562054 = V417502 + 1. assign V028615 = V305522 - 1. assign V965697 = V507636 - 1. assign V678370 = V378219 + 1. assign V922967 = V733389 - 1. assign V399691 = V084986. assign V464226 = V415792. assign V152947 = V000755 + 1. assign V295802 = V084986 - 1. assign V238872 = V415792 - 1. assign V789450 = 10. assign V500184 = V238872 + 1. assign V709914 = V695919. assign V706122 = V900719 - 1. assign V698948 = V922967 - 1. assign V910058 = V709510. assign V249650 = V740731 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V543657 = V495132 - 1. assign V202857 = V029826 - 1. assign V740731 = V238872. assign V889388 = V709510 + 1. assign V305522 = V305765. assign V632696 = V495132. assign V865076 = V889388. assign V198687 = V334664 + 1. assign V936551 = V536572 + 1. assign V410170 = V378219 + 1. assign V929826 = V127657. assign V721896 = V415792. assign V046866 = V500184. assign V517517 = V415792 - 1. assign V507636 = V417502 + 1. assign V417502 = V637793 + 1. assign V799269 = V692026 - 1. assign V504420 = V419087 + 1. assign V112591 = V600242. assign V419087 = V900719 - 1. assign V376365 = V517517 + 1. assign V695919 = V147372 + 1. assign V706114 = V490496. assign V536572 = V464226. assign V398030 = V517517 + 1. assign V029826 = V517517 + 1. assign V305765 = V464226 - 1. assign V740468 = V465879 + 1. assign V726519 = V536572. assign V452884 = V936551. assign V076944 = V202857 + 1. assign V000755 = V495132 + 1. assign V500084 = V500184 + 1. assign V465879 = V238872. assign V435300 = V879554. assign V253770 = V464226 - 1. assign V490496 = V464226. assign V733389 = V517517 + 1. assign V284458 = V562054 + 1. assign V426455 = V976373 + 1. assign V637793 = V490496 - 1. assign V652072 = V238872. assign V378219 = V733389. assign V529662 = V789450. assign V289382 = V495132 - 1. assign V762682 = V652072 - 1. assign V495132 = V692026 + 1. assign V600242 = V965697 + 1. assign V043997 = V600242 + 1. assign V334664 = V721896. assign V367932 = V334664. assign V084986 = V933302. assign V089705 = V305522. assign V933302 = V517517 - 1. assign V937959 = V740468. assign V900719 = V029826 + 1. assign V405938 = V976373. assign V147372 = V692026 + 1. assign V976373 = V397422 - 1. assign V397422 = V334664. assign V879554 = V419087 + 1. assign V709510 = V415792 + 1. assign V902711 = V464226 - 1. assign V146250 = V084986 + 1. assign V127657 = V507636 + 1. assign V032743 = V536572 - 1. assign V934827 = V933302 + 1. assign V444341 = V900719 - 1. assign V692026 = V933302 + 1. assign V562054 = V417502 + 1. assign V028615 = V305522 - 1. assign V965697 = V507636 - 1. assign V678370 = V378219 + 1. assign V922967 = V733389 - 1. assign V399691 = V084986. assign V464226 = V415792. assign V152947 = V000755 + 1. assign V295802 = V084986 - 1. assign V238872 = V415792 - 1. assign V789450 = 10. assign V500184 = V238872 + 1. assign V709914 = V695919. assign V706122 = V900719 - 1. assign V698948 = V922967 - 1. assign V910058 = V709510. assign V249650 = V740731 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV789450 = 10;\n\nFrom these direct assignment(s), we have: \nV529662 = V789450 = 10;\nNo other variables can be derived from V529662;\nNo other variables can be derived from V789450;\n\nNow we have done all the calculations. Derived variables are:\nV789450 = 10;\nV529662 = 10;\n\nNow we have finished this problem. ANSWER:\nV789450, V529662\n", "role": "assistant" } ]

[ "V639235" ]

[ { "content": "<context>\nassign V700956 = V166567. assign V661101 = V332263 - 1. assign V639235 = 8. assign V963185 = V899831 + 1. assign V103049 = V144449 - 1. assign V797034 = V951033 - 1. assign V079508 = V911850 + 1. assign V933544 = V030941 - 1. assign V094805 = V855482. assign V159483 = V145541. assign V949976 = V670343 + 1. assign V752642 = V759849 + 1. assign V587477 = V549689 + 1. assign V889421 = V172933. assign V010086 = V676776. assign V805953 = V518511 + 1. assign V454483 = V784544. assign V017352 = V024083. assign V741354 = V624105. assign V843943 = V639235 - 1. assign V988719 = V332263 + 1. assign V491696 = V911850 + 1. assign V676776 = V030941 + 1. assign V363176 = V144449. assign V168098 = V988719 + 1. assign V617063 = V224028. assign V705679 = V421202 + 1. assign V855482 = V797034 + 1. assign V563928 = V933544 + 1. assign V301154 = V676776 - 1. assign V166567 = V421202 + 1. assign V147841 = V951033. assign V319126 = V678960 + 1. assign V066098 = V951033 - 1. assign V945978 = V332263 + 1. assign V628263 = V024083 + 1. assign V684001 = V525353. assign V224028 = V628263 - 1. assign V208962 = V024083 + 1. assign V145541 = V363176 + 1. assign V904596 = V274548 + 1. assign V634078 = V805953. assign V911850 = V676776. assign V952931 = V505514 + 1. assign V332263 = V759849. assign V531913 = V951033 + 1. assign V600257 = V636742. assign V682338 = V670343 + 1. assign V505514 = V030941 - 1. assign V355439 = V418208 + 1. assign V951033 = V628263 + 1. assign V030941 = V024083. assign V928140 = V468378. assign V759849 = V144449 + 1. assign V276708 = V518511. assign V157376 = V144449. assign V418208 = V030941. assign V624105 = V628263 + 1. assign V382156 = V144449 + 1. assign V619201 = V144449. assign V636742 = V030941 - 1. assign V525353 = V759849 - 1. assign V775439 = V549689 - 1. assign V435931 = V103049 - 1. assign V449257 = V784544 + 1. assign V421202 = V752642 + 1. assign V144449 = V024083. assign V468378 = V421202 + 1. assign V670343 = V145541 - 1. assign V472840 = V157376 + 1. assign V039434 = V933544 - 1. assign V784544 = V951033 + 1. assign V235711 = V670343 - 1. assign V549689 = V235711 + 1. assign V622894 = V010086 + 1. assign V678960 = V628263. assign V526768 = V848447 - 1. assign V081584 = V531913. assign V899831 = V700956 + 1. assign V274548 = V525353. assign V518511 = V144449 - 1. assign V848447 = V951033 + 1. assign V172933 = V382156 + 1. assign V413756 = V024083 - 1. assign V946408 = V899831 - 1. assign V448039 = V526768 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V700956 = V166567. assign V661101 = V332263 - 1. assign V639235 = 8. assign V963185 = V899831 + 1. assign V103049 = V144449 - 1. assign V797034 = V951033 - 1. assign V079508 = V911850 + 1. assign V933544 = V030941 - 1. assign V094805 = V855482. assign V159483 = V145541. assign V949976 = V670343 + 1. assign V752642 = V759849 + 1. assign V587477 = V549689 + 1. assign V889421 = V172933. assign V010086 = V676776. assign V805953 = V518511 + 1. assign V454483 = V784544. assign V017352 = V024083. assign V741354 = V624105. assign V843943 = V639235 - 1. assign V988719 = V332263 + 1. assign V491696 = V911850 + 1. assign V676776 = V030941 + 1. assign V363176 = V144449. assign V168098 = V988719 + 1. assign V617063 = V224028. assign V705679 = V421202 + 1. assign V855482 = V797034 + 1. assign V563928 = V933544 + 1. assign V301154 = V676776 - 1. assign V166567 = V421202 + 1. assign V147841 = V951033. assign V319126 = V678960 + 1. assign V066098 = V951033 - 1. assign V945978 = V332263 + 1. assign V628263 = V024083 + 1. assign V684001 = V525353. assign V224028 = V628263 - 1. assign V208962 = V024083 + 1. assign V145541 = V363176 + 1. assign V904596 = V274548 + 1. assign V634078 = V805953. assign V911850 = V676776. assign V952931 = V505514 + 1. assign V332263 = V759849. assign V531913 = V951033 + 1. assign V600257 = V636742. assign V682338 = V670343 + 1. assign V505514 = V030941 - 1. assign V355439 = V418208 + 1. assign V951033 = V628263 + 1. assign V030941 = V024083. assign V928140 = V468378. assign V759849 = V144449 + 1. assign V276708 = V518511. assign V157376 = V144449. assign V418208 = V030941. assign V624105 = V628263 + 1. assign V382156 = V144449 + 1. assign V619201 = V144449. assign V636742 = V030941 - 1. assign V525353 = V759849 - 1. assign V775439 = V549689 - 1. assign V435931 = V103049 - 1. assign V449257 = V784544 + 1. assign V421202 = V752642 + 1. assign V144449 = V024083. assign V468378 = V421202 + 1. assign V670343 = V145541 - 1. assign V472840 = V157376 + 1. assign V039434 = V933544 - 1. assign V784544 = V951033 + 1. assign V235711 = V670343 - 1. assign V549689 = V235711 + 1. assign V622894 = V010086 + 1. assign V678960 = V628263. assign V526768 = V848447 - 1. assign V081584 = V531913. assign V899831 = V700956 + 1. assign V274548 = V525353. assign V518511 = V144449 - 1. assign V848447 = V951033 + 1. assign V172933 = V382156 + 1. assign V413756 = V024083 - 1. assign V946408 = V899831 - 1. assign V448039 = V526768 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV639235 = 8;\n\nFrom these direct assignment(s), we have: \nV843943 = V639235 - 1 = 8 - 1 =7;\nNo other variables can be derived from V843943;\nNo other variables can be derived from V639235;\n\nNow we have done all the calculations. Derived variables are:\nV639235 = 8;\nV843943 = 7;\n\nNow we have finished this problem. ANSWER:\nV639235\n", "role": "assistant" } ]

[ "V348913" ]

[ { "content": "<context>\nassign V510428 = V015401. assign V146600 = V721805. assign V208630 = V145131. assign V352138 = V840267. assign V575045 = V275176 + 1. assign V143331 = V797782 - 1. assign V507131 = V175079 - 1. assign V718277 = V352138 + 1. assign V708991 = V954888 + 1. assign V951692 = V497326 + 1. assign V162301 = V289922. assign V398717 = V497326 + 1. assign V254802 = V398717 - 1. assign V332680 = V146600 - 1. assign V484968 = V342014 + 1. assign V766949 = V654933 + 1. assign V931542 = V006892 - 1. assign V289922 = V951692 + 1. assign V954888 = V342014 + 1. assign V547971 = V606726. assign V418220 = V146600 + 1. assign V556083 = V857226 + 1. assign V863583 = V183575. assign V026670 = V062951. assign V740824 = V418220 + 1. assign V360970 = V014087 - 1. assign V497326 = V494170 - 1. assign V145131 = V006892 + 1. assign V797782 = V688978 - 1. assign V970523 = V494170 + 1. assign V096722 = V015401. assign V874054 = 5. assign V062951 = V494170 - 1. assign V014087 = V840267 - 1. assign V690856 = V857226 - 1. assign V989206 = V254802 + 1. assign V054718 = V150686 - 1. assign V348913 = V874054 - 1. assign V343163 = V331532 + 1. assign V818114 = V510428. assign V161040 = V497326. assign V688978 = V970523. assign V342014 = V970523 + 1. assign V331532 = V014087. assign V275176 = V740824 - 1. assign V133565 = V332680 - 1. assign V859857 = V773836 + 1. assign V783876 = V773836 - 1. assign V518316 = V507131. assign V534064 = V992270 + 1. assign V654933 = V494170 + 1. assign V713286 = V497326 - 1. assign V606726 = V175079. assign V066180 = V015401. assign V188177 = V721805 - 1. assign V183575 = V721805. assign V976416 = V146600 + 1. assign V615161 = V208630. assign V219092 = V748668. assign V903979 = V690856 + 1. assign V748668 = V497326 - 1. assign V284304 = V332680. assign V992270 = V773836 - 1. assign V562107 = V575045 + 1. assign V793333 = V721805 - 1. assign V328122 = V611806. assign V052519 = V418220. assign V857226 = V398717 + 1. assign V503010 = V331532. assign V882563 = V970523. assign V628602 = V992270 - 1. assign V006892 = V497326. assign V773836 = V721805 + 1. assign V760262 = V352138. assign V015401 = V497326 + 1. assign V150686 = V484968 + 1. assign V916561 = V146600 - 1. assign V175079 = V748668 - 1. assign V583482 = V360970. assign V820945 = V575045. assign V840267 = V146600 + 1. assign V208036 = V188177 - 1. assign V993237 = V718277 + 1. assign V611806 = V840267 + 1. assign V721805 = V497326 - 1. assign V883466 = V797782.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V510428 = V015401. assign V146600 = V721805. assign V208630 = V145131. assign V352138 = V840267. assign V575045 = V275176 + 1. assign V143331 = V797782 - 1. assign V507131 = V175079 - 1. assign V718277 = V352138 + 1. assign V708991 = V954888 + 1. assign V951692 = V497326 + 1. assign V162301 = V289922. assign V398717 = V497326 + 1. assign V254802 = V398717 - 1. assign V332680 = V146600 - 1. assign V484968 = V342014 + 1. assign V766949 = V654933 + 1. assign V931542 = V006892 - 1. assign V289922 = V951692 + 1. assign V954888 = V342014 + 1. assign V547971 = V606726. assign V418220 = V146600 + 1. assign V556083 = V857226 + 1. assign V863583 = V183575. assign V026670 = V062951. assign V740824 = V418220 + 1. assign V360970 = V014087 - 1. assign V497326 = V494170 - 1. assign V145131 = V006892 + 1. assign V797782 = V688978 - 1. assign V970523 = V494170 + 1. assign V096722 = V015401. assign V874054 = 5. assign V062951 = V494170 - 1. assign V014087 = V840267 - 1. assign V690856 = V857226 - 1. assign V989206 = V254802 + 1. assign V054718 = V150686 - 1. assign V348913 = V874054 - 1. assign V343163 = V331532 + 1. assign V818114 = V510428. assign V161040 = V497326. assign V688978 = V970523. assign V342014 = V970523 + 1. assign V331532 = V014087. assign V275176 = V740824 - 1. assign V133565 = V332680 - 1. assign V859857 = V773836 + 1. assign V783876 = V773836 - 1. assign V518316 = V507131. assign V534064 = V992270 + 1. assign V654933 = V494170 + 1. assign V713286 = V497326 - 1. assign V606726 = V175079. assign V066180 = V015401. assign V188177 = V721805 - 1. assign V183575 = V721805. assign V976416 = V146600 + 1. assign V615161 = V208630. assign V219092 = V748668. assign V903979 = V690856 + 1. assign V748668 = V497326 - 1. assign V284304 = V332680. assign V992270 = V773836 - 1. assign V562107 = V575045 + 1. assign V793333 = V721805 - 1. assign V328122 = V611806. assign V052519 = V418220. assign V857226 = V398717 + 1. assign V503010 = V331532. assign V882563 = V970523. assign V628602 = V992270 - 1. assign V006892 = V497326. assign V773836 = V721805 + 1. assign V760262 = V352138. assign V015401 = V497326 + 1. assign V150686 = V484968 + 1. assign V916561 = V146600 - 1. assign V175079 = V748668 - 1. assign V583482 = V360970. assign V820945 = V575045. assign V840267 = V146600 + 1. assign V208036 = V188177 - 1. assign V993237 = V718277 + 1. assign V611806 = V840267 + 1. assign V721805 = V497326 - 1. assign V883466 = V797782.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV874054 = 5;\n\nFrom these direct assignment(s), we have: \nV348913 = V874054 - 1 = 5 - 1 =4;\nNo other variables can be derived from V348913;\nNo other variables can be derived from V874054;\n\nNow we have done all the calculations. Derived variables are:\nV874054 = 5;\nV348913 = 4;\n\nNow we have finished this problem. ANSWER:\nV348913\n", "role": "assistant" } ]

[ "V991144" ]

[ { "content": "<context>\nassign V048615 = V708669 - 1. assign V873214 = V117115. assign V770008 = V708669. assign V240385 = V231520 - 1. assign V216383 = V713372. assign V602479 = V175658 - 1. assign V433945 = V735903. assign V280890 = V838447 + 1. assign V030803 = V520325. assign V091345 = V244630 + 1. assign V669464 = V256037. assign V983489 = V602479. assign V117115 = V048615 + 1. assign V276765 = 10. assign V460622 = V550373 - 1. assign V550373 = V048615. assign V256037 = V520325 + 1. assign V991144 = V276765 + 1. assign V877299 = V314862. assign V213394 = V146249 + 1. assign V372203 = V686396. assign V664219 = V485435. assign V272023 = V175658 + 1. assign V146249 = V050058 - 1. assign V635062 = V602479 + 1. assign V231520 = V627850 + 1. assign V186186 = V272023. assign V109090 = V526087 - 1. assign V460388 = V571887. assign V838447 = V272023 - 1. assign V526087 = V338401. assign V205521 = V526087 + 1. assign V970665 = V372203. assign V399175 = V940444 - 1. assign V341971 = V816410 + 1. assign V260935 = V812109 + 1. assign V191121 = V460622. assign V841725 = V816410. assign V940444 = V877299. assign V138296 = V314862 + 1. assign V913324 = V678327 + 1. assign V817976 = V050058 - 1. assign V175658 = V571887 - 1. assign V978268 = V031756 - 1. assign V627850 = V571887. assign V713372 = V409512. assign V409887 = V031756 - 1. assign V739574 = V735903 - 1. assign V931349 = V571887 - 1. assign V031756 = V175658 + 1. assign V189311 = V280890 - 1. assign V509376 = V812109. assign V283930 = V186186 + 1. assign V290849 = V175658. assign V838531 = V460388 + 1. assign V767581 = V409512. assign V409512 = V713360 + 1. assign V962972 = V175658 - 1. assign V215008 = V446436 - 1. assign V686396 = V290849 + 1. assign V727285 = V314862 - 1. assign V099011 = V962972 - 1. assign V713360 = V678327 + 1. assign V041957 = V913324. assign V446436 = V686396. assign V837339 = V283930 - 1. assign V735903 = V678327. assign V605732 = V039443 - 1. assign V039443 = V290849 - 1. assign V314862 = V686396 - 1. assign V050058 = V962972. assign V485435 = V338401 - 1. assign V771776 = V678327. assign V816410 = V272023 + 1. assign V338401 = V031756 - 1. assign V102714 = V175658. assign V520325 = V940444 + 1. assign V678327 = V571887. assign V874678 = V146249 + 1. assign V708669 = V735903 - 1. assign V244630 = V039443 - 1. assign V392295 = V816410 - 1. assign V124236 = V812109. assign V812109 = V290849. assign V130519 = V838447. assign V006705 = V314862.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V048615 = V708669 - 1. assign V873214 = V117115. assign V770008 = V708669. assign V240385 = V231520 - 1. assign V216383 = V713372. assign V602479 = V175658 - 1. assign V433945 = V735903. assign V280890 = V838447 + 1. assign V030803 = V520325. assign V091345 = V244630 + 1. assign V669464 = V256037. assign V983489 = V602479. assign V117115 = V048615 + 1. assign V276765 = 10. assign V460622 = V550373 - 1. assign V550373 = V048615. assign V256037 = V520325 + 1. assign V991144 = V276765 + 1. assign V877299 = V314862. assign V213394 = V146249 + 1. assign V372203 = V686396. assign V664219 = V485435. assign V272023 = V175658 + 1. assign V146249 = V050058 - 1. assign V635062 = V602479 + 1. assign V231520 = V627850 + 1. assign V186186 = V272023. assign V109090 = V526087 - 1. assign V460388 = V571887. assign V838447 = V272023 - 1. assign V526087 = V338401. assign V205521 = V526087 + 1. assign V970665 = V372203. assign V399175 = V940444 - 1. assign V341971 = V816410 + 1. assign V260935 = V812109 + 1. assign V191121 = V460622. assign V841725 = V816410. assign V940444 = V877299. assign V138296 = V314862 + 1. assign V913324 = V678327 + 1. assign V817976 = V050058 - 1. assign V175658 = V571887 - 1. assign V978268 = V031756 - 1. assign V627850 = V571887. assign V713372 = V409512. assign V409887 = V031756 - 1. assign V739574 = V735903 - 1. assign V931349 = V571887 - 1. assign V031756 = V175658 + 1. assign V189311 = V280890 - 1. assign V509376 = V812109. assign V283930 = V186186 + 1. assign V290849 = V175658. assign V838531 = V460388 + 1. assign V767581 = V409512. assign V409512 = V713360 + 1. assign V962972 = V175658 - 1. assign V215008 = V446436 - 1. assign V686396 = V290849 + 1. assign V727285 = V314862 - 1. assign V099011 = V962972 - 1. assign V713360 = V678327 + 1. assign V041957 = V913324. assign V446436 = V686396. assign V837339 = V283930 - 1. assign V735903 = V678327. assign V605732 = V039443 - 1. assign V039443 = V290849 - 1. assign V314862 = V686396 - 1. assign V050058 = V962972. assign V485435 = V338401 - 1. assign V771776 = V678327. assign V816410 = V272023 + 1. assign V338401 = V031756 - 1. assign V102714 = V175658. assign V520325 = V940444 + 1. assign V678327 = V571887. assign V874678 = V146249 + 1. assign V708669 = V735903 - 1. assign V244630 = V039443 - 1. assign V392295 = V816410 - 1. assign V124236 = V812109. assign V812109 = V290849. assign V130519 = V838447. assign V006705 = V314862.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV276765 = 10;\n\nFrom these direct assignment(s), we have: \nV991144 = V276765 + 1 = 10 + 1 =11;\nNo other variables can be derived from V991144;\nNo other variables can be derived from V276765;\n\nNow we have done all the calculations. Derived variables are:\nV276765 = 10;\nV991144 = 11;\n\nNow we have finished this problem. ANSWER:\nV991144\n", "role": "assistant" } ]

[ "V772981" ]

[ { "content": "<context>\nassign V121198 = V398691 - 1. assign V374402 = V288404 + 1. assign V641611 = V204061 + 1. assign V947699 = V335830. assign V591965 = V725652 - 1. assign V070742 = V288404. assign V335830 = V190203 + 1. assign V561922 = V968351 + 1. assign V795901 = V295247 - 1. assign V102167 = V434467. assign V314636 = V549438 + 1. assign V178470 = V263774 - 1. assign V766230 = V063966 - 1. assign V686824 = V809948. assign V125938 = V809948. assign V783528 = V314636. assign V820423 = V147391 - 1. assign V549438 = V438077 + 1. assign V463881 = V398691 + 1. assign V702948 = V063966 + 1. assign V398691 = V000701 + 1. assign V439491 = V930282 - 1. assign V975709 = V644915. assign V930282 = V932676. assign V355887 = V288404 - 1. assign V307245 = V257462 - 1. assign V451684 = V121198. assign V190203 = V257462 - 1. assign V785250 = V355887 - 1. assign V263774 = V147391 - 1. assign V226597 = V257462. assign V192457 = V398707 - 1. assign V102935 = V288404 - 1. assign V555478 = V557782. assign V257462 = V690975. assign V404829 = V968351 + 1. assign V690975 = V932676 - 1. assign V451167 = V561922 + 1. assign V551822 = V398707 + 1. assign V578120 = V774635. assign V975209 = V641611 - 1. assign V068180 = V809948 + 1. assign V063966 = V372064. assign V438077 = V638537 - 1. assign V138242 = V295247. assign V976877 = V968351 - 1. assign V577135 = V561922 - 1. assign V000701 = V355887 + 1. assign V932676 = V288404. assign V772981 = V082795 + 1. assign V577253 = V576073 - 1. assign V489234 = V785250 - 1. assign V022715 = V575972. assign V774635 = V932676. assign V054377 = V591965. assign V849431 = V809948. assign V519121 = V641611 - 1. assign V638537 = V288404 - 1. assign V082795 = 6. assign V005315 = V295247. assign V863741 = V561922 + 1. assign V644915 = V288404. assign V147391 = V438077 + 1. assign V495964 = V702948. assign V654841 = V288404 - 1. assign V557782 = V223571 + 1. assign V223571 = V288404. assign V968351 = V774635. assign V398707 = V138242 + 1. assign V575972 = V690975 + 1. assign V787726 = V489234 - 1. assign V295247 = V288404 - 1. assign V372064 = V288404. assign V809948 = V288404. assign V304061 = V575972 - 1. assign V204061 = V288404. assign V528082 = V690975 - 1. assign V005797 = V325223 - 1. assign V325223 = V638537 + 1. assign V389971 = V314636. assign V854700 = V005315 - 1. assign V434467 = V372064. assign V853441 = V434467 + 1. assign V126791 = V372064 + 1. assign V725652 = V561922. assign V576073 = V519121 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V121198 = V398691 - 1. assign V374402 = V288404 + 1. assign V641611 = V204061 + 1. assign V947699 = V335830. assign V591965 = V725652 - 1. assign V070742 = V288404. assign V335830 = V190203 + 1. assign V561922 = V968351 + 1. assign V795901 = V295247 - 1. assign V102167 = V434467. assign V314636 = V549438 + 1. assign V178470 = V263774 - 1. assign V766230 = V063966 - 1. assign V686824 = V809948. assign V125938 = V809948. assign V783528 = V314636. assign V820423 = V147391 - 1. assign V549438 = V438077 + 1. assign V463881 = V398691 + 1. assign V702948 = V063966 + 1. assign V398691 = V000701 + 1. assign V439491 = V930282 - 1. assign V975709 = V644915. assign V930282 = V932676. assign V355887 = V288404 - 1. assign V307245 = V257462 - 1. assign V451684 = V121198. assign V190203 = V257462 - 1. assign V785250 = V355887 - 1. assign V263774 = V147391 - 1. assign V226597 = V257462. assign V192457 = V398707 - 1. assign V102935 = V288404 - 1. assign V555478 = V557782. assign V257462 = V690975. assign V404829 = V968351 + 1. assign V690975 = V932676 - 1. assign V451167 = V561922 + 1. assign V551822 = V398707 + 1. assign V578120 = V774635. assign V975209 = V641611 - 1. assign V068180 = V809948 + 1. assign V063966 = V372064. assign V438077 = V638537 - 1. assign V138242 = V295247. assign V976877 = V968351 - 1. assign V577135 = V561922 - 1. assign V000701 = V355887 + 1. assign V932676 = V288404. assign V772981 = V082795 + 1. assign V577253 = V576073 - 1. assign V489234 = V785250 - 1. assign V022715 = V575972. assign V774635 = V932676. assign V054377 = V591965. assign V849431 = V809948. assign V519121 = V641611 - 1. assign V638537 = V288404 - 1. assign V082795 = 6. assign V005315 = V295247. assign V863741 = V561922 + 1. assign V644915 = V288404. assign V147391 = V438077 + 1. assign V495964 = V702948. assign V654841 = V288404 - 1. assign V557782 = V223571 + 1. assign V223571 = V288404. assign V968351 = V774635. assign V398707 = V138242 + 1. assign V575972 = V690975 + 1. assign V787726 = V489234 - 1. assign V295247 = V288404 - 1. assign V372064 = V288404. assign V809948 = V288404. assign V304061 = V575972 - 1. assign V204061 = V288404. assign V528082 = V690975 - 1. assign V005797 = V325223 - 1. assign V325223 = V638537 + 1. assign V389971 = V314636. assign V854700 = V005315 - 1. assign V434467 = V372064. assign V853441 = V434467 + 1. assign V126791 = V372064 + 1. assign V725652 = V561922. assign V576073 = V519121 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV082795 = 6;\n\nFrom these direct assignment(s), we have: \nV772981 = V082795 + 1 = 6 + 1 =7;\nNo other variables can be derived from V772981;\nNo other variables can be derived from V082795;\n\nNow we have done all the calculations. Derived variables are:\nV082795 = 6;\nV772981 = 7;\n\nNow we have finished this problem. ANSWER:\nV772981\n", "role": "assistant" } ]

[ "V932792" ]

[ { "content": "<context>\nassign V271264 = V732688. assign V882927 = V686126 - 1. assign V542162 = V861266 + 1. assign V152120 = V951431. assign V932792 = V670139 - 1. assign V999607 = V898904 + 1. assign V767559 = V546689 + 1. assign V918472 = V809217. assign V025091 = V732688 + 1. assign V649032 = V101799. assign V591802 = V752019 - 1. assign V697299 = V809217 - 1. assign V251524 = V324917 + 1. assign V965654 = V260614 - 1. assign V702295 = V118241. assign V118241 = V302791. assign V749471 = V063280 - 1. assign V016258 = V364248 - 1. assign V287548 = V560645. assign V209456 = V063280. assign V777608 = V680525 + 1. assign V603738 = V235109 - 1. assign V225437 = V364248 + 1. assign V235109 = V556021. assign V723332 = V246753. assign V670139 = 6. assign V989182 = V025091 - 1. assign V611082 = V235109. assign V364248 = V209456 - 1. assign V223495 = V686964 + 1. assign V160268 = V302791. assign V559413 = V546689 + 1. assign V212811 = V615558. assign V809217 = V879111 + 1. assign V922769 = V100653 - 1. assign V534074 = V898904 - 1. assign V752019 = V686964. assign V686964 = V879111 + 1. assign V732688 = V898904 - 1. assign V771938 = V882927 - 1. assign V165568 = V246753 - 1. assign V961209 = V697299. assign V686126 = V809217 - 1. assign V741744 = V223495 + 1. assign V622698 = V419122 + 1. assign V536169 = V944949 - 1. assign V186205 = V944949. assign V849085 = V879111 - 1. assign V680525 = V741744. assign V898904 = V186205 + 1. assign V153950 = V556021. assign V257162 = V918472 + 1. assign V419122 = V732688 + 1. assign V511857 = V749471 - 1. assign V375698 = V235109 - 1. assign V100653 = V302791 + 1. assign V774047 = V025091 - 1. assign V882244 = V260614. assign V852582 = V989182 + 1. assign V951431 = V944949 + 1. assign V560645 = V989182. assign V944949 = V063280. assign V211562 = V951431 + 1. assign V032938 = V118241 + 1. assign V512209 = V559413 - 1. assign V302791 = V879111 - 1. assign V724029 = V371737. assign V953241 = V951431 + 1. assign V879111 = V944949 - 1. assign V131559 = V303917 + 1. assign V615558 = V186205. assign V371737 = V944949 - 1. assign V556021 = V898904 + 1. assign V324917 = V918472. assign V110435 = V025091 - 1. assign V546689 = V879111 - 1. assign V101799 = V898904. assign V702604 = V556021. assign V724613 = V153950. assign V303917 = V271264 + 1. assign V260614 = V063280. assign V246753 = V546689. assign V861266 = V882927. assign V303617 = V110435 + 1. assign V034397 = V879111 - 1. assign V819142 = V419122 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V271264 = V732688. assign V882927 = V686126 - 1. assign V542162 = V861266 + 1. assign V152120 = V951431. assign V932792 = V670139 - 1. assign V999607 = V898904 + 1. assign V767559 = V546689 + 1. assign V918472 = V809217. assign V025091 = V732688 + 1. assign V649032 = V101799. assign V591802 = V752019 - 1. assign V697299 = V809217 - 1. assign V251524 = V324917 + 1. assign V965654 = V260614 - 1. assign V702295 = V118241. assign V118241 = V302791. assign V749471 = V063280 - 1. assign V016258 = V364248 - 1. assign V287548 = V560645. assign V209456 = V063280. assign V777608 = V680525 + 1. assign V603738 = V235109 - 1. assign V225437 = V364248 + 1. assign V235109 = V556021. assign V723332 = V246753. assign V670139 = 6. assign V989182 = V025091 - 1. assign V611082 = V235109. assign V364248 = V209456 - 1. assign V223495 = V686964 + 1. assign V160268 = V302791. assign V559413 = V546689 + 1. assign V212811 = V615558. assign V809217 = V879111 + 1. assign V922769 = V100653 - 1. assign V534074 = V898904 - 1. assign V752019 = V686964. assign V686964 = V879111 + 1. assign V732688 = V898904 - 1. assign V771938 = V882927 - 1. assign V165568 = V246753 - 1. assign V961209 = V697299. assign V686126 = V809217 - 1. assign V741744 = V223495 + 1. assign V622698 = V419122 + 1. assign V536169 = V944949 - 1. assign V186205 = V944949. assign V849085 = V879111 - 1. assign V680525 = V741744. assign V898904 = V186205 + 1. assign V153950 = V556021. assign V257162 = V918472 + 1. assign V419122 = V732688 + 1. assign V511857 = V749471 - 1. assign V375698 = V235109 - 1. assign V100653 = V302791 + 1. assign V774047 = V025091 - 1. assign V882244 = V260614. assign V852582 = V989182 + 1. assign V951431 = V944949 + 1. assign V560645 = V989182. assign V944949 = V063280. assign V211562 = V951431 + 1. assign V032938 = V118241 + 1. assign V512209 = V559413 - 1. assign V302791 = V879111 - 1. assign V724029 = V371737. assign V953241 = V951431 + 1. assign V879111 = V944949 - 1. assign V131559 = V303917 + 1. assign V615558 = V186205. assign V371737 = V944949 - 1. assign V556021 = V898904 + 1. assign V324917 = V918472. assign V110435 = V025091 - 1. assign V546689 = V879111 - 1. assign V101799 = V898904. assign V702604 = V556021. assign V724613 = V153950. assign V303917 = V271264 + 1. assign V260614 = V063280. assign V246753 = V546689. assign V861266 = V882927. assign V303617 = V110435 + 1. assign V034397 = V879111 - 1. assign V819142 = V419122 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV670139 = 6;\n\nFrom these direct assignment(s), we have: \nV932792 = V670139 - 1 = 6 - 1 =5;\nNo other variables can be derived from V932792;\nNo other variables can be derived from V670139;\n\nNow we have done all the calculations. Derived variables are:\nV670139 = 6;\nV932792 = 5;\n\nNow we have finished this problem. ANSWER:\nV932792\n", "role": "assistant" } ]

[ "V535206" ]

[ { "content": "<context>\nassign V049254 = V536833 - 1. assign V173458 = V530057 - 1. assign V160527 = V408362 - 1. assign V922505 = V925952 - 1. assign V535206 = 6. assign V038004 = V002899. assign V282743 = V566705 + 1. assign V568366 = V371884. assign V518096 = V165557. assign V321404 = V600055 + 1. assign V278538 = V468556 + 1. assign V994600 = V468556 - 1. assign V608128 = V536833 + 1. assign V291186 = V994600 - 1. assign V536833 = V872970 + 1. assign V863981 = V518096 - 1. assign V473525 = V547248 - 1. assign V564799 = V381864 + 1. assign V542277 = V575075. assign V537312 = V872970 - 1. assign V310467 = V992346. assign V882847 = V182171 - 1. assign V373934 = V977201 + 1. assign V575075 = V547248 - 1. assign V643865 = V022792 - 1. assign V558112 = V417257 - 1. assign V001042 = V055072. assign V681173 = V321404. assign V993432 = V493340 - 1. assign V164395 = V693352. assign V022792 = V566705. assign V504232 = V371884. assign V600055 = V547248. assign V715201 = V994600. assign V880271 = V509224. assign V612136 = V182171. assign V509224 = V600055 - 1. assign V938108 = V001042 - 1. assign V055072 = V509224. assign V660753 = V530057 + 1. assign V566705 = V537312. assign V547248 = V194979 - 1. assign V002899 = V173458 - 1. assign V693352 = V600055. assign V956468 = V321404. assign V417257 = V321404. assign V165557 = V192066 + 1. assign V797853 = V509224. assign V458079 = V005651 - 1. assign V418357 = V173458. assign V739368 = V194979 + 1. assign V998379 = V797853 - 1. assign V256692 = V509224. assign V901390 = V558112. assign V672821 = V799135. assign V304519 = V173458 + 1. assign V819487 = V535206 + 1. assign V052471 = V417257 + 1. assign V005651 = V002899. assign V795848 = V002899 - 1. assign V408362 = V504232 + 1. assign V227492 = V371884. assign V894810 = V493340 + 1. assign V493340 = V055072 - 1. assign V011181 = V417257 + 1. assign V194589 = V160527. assign V324700 = V458079 + 1. assign V799135 = V530057. assign V085045 = V600055 - 1. assign V182171 = V408362. assign V232584 = V256692. assign V322250 = V371884 + 1. assign V601087 = V256692 - 1. assign V992346 = V600055. assign V476161 = V536833. assign V872970 = V530057. assign V232861 = V608128. assign V107113 = V608128. assign V381864 = V417257. assign V194979 = V530057 + 1. assign V977201 = V547248. assign V468556 = V194979. assign V371884 = V509224 + 1. assign V925952 = V504232 - 1. assign V192066 = V194979 - 1. assign V553371 = V537312 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V049254 = V536833 - 1. assign V173458 = V530057 - 1. assign V160527 = V408362 - 1. assign V922505 = V925952 - 1. assign V535206 = 6. assign V038004 = V002899. assign V282743 = V566705 + 1. assign V568366 = V371884. assign V518096 = V165557. assign V321404 = V600055 + 1. assign V278538 = V468556 + 1. assign V994600 = V468556 - 1. assign V608128 = V536833 + 1. assign V291186 = V994600 - 1. assign V536833 = V872970 + 1. assign V863981 = V518096 - 1. assign V473525 = V547248 - 1. assign V564799 = V381864 + 1. assign V542277 = V575075. assign V537312 = V872970 - 1. assign V310467 = V992346. assign V882847 = V182171 - 1. assign V373934 = V977201 + 1. assign V575075 = V547248 - 1. assign V643865 = V022792 - 1. assign V558112 = V417257 - 1. assign V001042 = V055072. assign V681173 = V321404. assign V993432 = V493340 - 1. assign V164395 = V693352. assign V022792 = V566705. assign V504232 = V371884. assign V600055 = V547248. assign V715201 = V994600. assign V880271 = V509224. assign V612136 = V182171. assign V509224 = V600055 - 1. assign V938108 = V001042 - 1. assign V055072 = V509224. assign V660753 = V530057 + 1. assign V566705 = V537312. assign V547248 = V194979 - 1. assign V002899 = V173458 - 1. assign V693352 = V600055. assign V956468 = V321404. assign V417257 = V321404. assign V165557 = V192066 + 1. assign V797853 = V509224. assign V458079 = V005651 - 1. assign V418357 = V173458. assign V739368 = V194979 + 1. assign V998379 = V797853 - 1. assign V256692 = V509224. assign V901390 = V558112. assign V672821 = V799135. assign V304519 = V173458 + 1. assign V819487 = V535206 + 1. assign V052471 = V417257 + 1. assign V005651 = V002899. assign V795848 = V002899 - 1. assign V408362 = V504232 + 1. assign V227492 = V371884. assign V894810 = V493340 + 1. assign V493340 = V055072 - 1. assign V011181 = V417257 + 1. assign V194589 = V160527. assign V324700 = V458079 + 1. assign V799135 = V530057. assign V085045 = V600055 - 1. assign V182171 = V408362. assign V232584 = V256692. assign V322250 = V371884 + 1. assign V601087 = V256692 - 1. assign V992346 = V600055. assign V476161 = V536833. assign V872970 = V530057. assign V232861 = V608128. assign V107113 = V608128. assign V381864 = V417257. assign V194979 = V530057 + 1. assign V977201 = V547248. assign V468556 = V194979. assign V371884 = V509224 + 1. assign V925952 = V504232 - 1. assign V192066 = V194979 - 1. assign V553371 = V537312 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV535206 = 6;\n\nFrom these direct assignment(s), we have: \nV819487 = V535206 + 1 = 6 + 1 =7;\nNo other variables can be derived from V819487;\nNo other variables can be derived from V535206;\n\nNow we have done all the calculations. Derived variables are:\nV535206 = 6;\nV819487 = 7;\n\nNow we have finished this problem. ANSWER:\nV535206\n", "role": "assistant" } ]

[ "V602254" ]

[ { "content": "<context>\nassign V433653 = V336494 + 1. assign V162076 = V214408 + 1. assign V602254 = 6. assign V569952 = V315730 + 1. assign V639515 = V516164 + 1. assign V355996 = V431658 - 1. assign V403528 = V336494. assign V725697 = V239917 + 1. assign V753392 = V712043 + 1. assign V253861 = V239917. assign V275491 = V337231 + 1. assign V784701 = V407056 + 1. assign V287395 = V214408. assign V966627 = V791894. assign V494762 = V516164. assign V990500 = V693991. assign V474782 = V865894 + 1. assign V369563 = V693991. assign V430468 = V336494 - 1. assign V617916 = V284811 + 1. assign V779764 = V275491 + 1. assign V239917 = V917370 - 1. assign V445309 = V433653. assign V431658 = V822114. assign V693991 = V779764. assign V265473 = V994579 + 1. assign V407056 = V431658 + 1. assign V461247 = V784701 - 1. assign V885201 = V734699 - 1. assign V917371 = V337231 + 1. assign V284811 = V779764 - 1. assign V702489 = V602254 - 1. assign V523441 = V994579 + 1. assign V467195 = V159814. assign V088473 = V746925. assign V594015 = V988228. assign V823618 = V917371 - 1. assign V734699 = V239917. assign V005971 = V284811 - 1. assign V988228 = V089087 + 1. assign V227449 = V337231 - 1. assign V638829 = V840683 - 1. assign V214408 = V990500. assign V063706 = V779764 - 1. assign V802695 = V693991 + 1. assign V337231 = V239917 - 1. assign V159814 = V917370. assign V336494 = V725697 - 1. assign V326813 = V617916. assign V746925 = V917370. assign V896860 = V336494 + 1. assign V533537 = V779764 - 1. assign V957818 = V917370. assign V256485 = V822114 - 1. assign V842771 = V275491 + 1. assign V402493 = V994579. assign V989366 = V784701 - 1. assign V822114 = V725697 + 1. assign V941806 = V467195 - 1. assign V408464 = V089087 - 1. assign V192551 = V516164. assign V883790 = V071111. assign V151892 = V445309 - 1. assign V800715 = V543931 - 1. assign V328346 = V823618 - 1. assign V865894 = V336494 - 1. assign V923328 = V253861 + 1. assign V628426 = V725697 - 1. assign V315730 = V802695. assign V166853 = V337231. assign V237352 = V994579. assign V029823 = V192551 - 1. assign V434396 = V966627 - 1. assign V994579 = V445309 + 1. assign V705397 = V159814 + 1. assign V414376 = V275491. assign V089087 = V917370. assign V543931 = V822114 - 1. assign V071111 = V693991 - 1. assign V869687 = V328346 + 1. assign V712043 = V089087. assign V385492 = V237352. assign V791894 = V569952 + 1. assign V516164 = V284811. assign V840683 = V474782 + 1. assign V163931 = V494762 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V433653 = V336494 + 1. assign V162076 = V214408 + 1. assign V602254 = 6. assign V569952 = V315730 + 1. assign V639515 = V516164 + 1. assign V355996 = V431658 - 1. assign V403528 = V336494. assign V725697 = V239917 + 1. assign V753392 = V712043 + 1. assign V253861 = V239917. assign V275491 = V337231 + 1. assign V784701 = V407056 + 1. assign V287395 = V214408. assign V966627 = V791894. assign V494762 = V516164. assign V990500 = V693991. assign V474782 = V865894 + 1. assign V369563 = V693991. assign V430468 = V336494 - 1. assign V617916 = V284811 + 1. assign V779764 = V275491 + 1. assign V239917 = V917370 - 1. assign V445309 = V433653. assign V431658 = V822114. assign V693991 = V779764. assign V265473 = V994579 + 1. assign V407056 = V431658 + 1. assign V461247 = V784701 - 1. assign V885201 = V734699 - 1. assign V917371 = V337231 + 1. assign V284811 = V779764 - 1. assign V702489 = V602254 - 1. assign V523441 = V994579 + 1. assign V467195 = V159814. assign V088473 = V746925. assign V594015 = V988228. assign V823618 = V917371 - 1. assign V734699 = V239917. assign V005971 = V284811 - 1. assign V988228 = V089087 + 1. assign V227449 = V337231 - 1. assign V638829 = V840683 - 1. assign V214408 = V990500. assign V063706 = V779764 - 1. assign V802695 = V693991 + 1. assign V337231 = V239917 - 1. assign V159814 = V917370. assign V336494 = V725697 - 1. assign V326813 = V617916. assign V746925 = V917370. assign V896860 = V336494 + 1. assign V533537 = V779764 - 1. assign V957818 = V917370. assign V256485 = V822114 - 1. assign V842771 = V275491 + 1. assign V402493 = V994579. assign V989366 = V784701 - 1. assign V822114 = V725697 + 1. assign V941806 = V467195 - 1. assign V408464 = V089087 - 1. assign V192551 = V516164. assign V883790 = V071111. assign V151892 = V445309 - 1. assign V800715 = V543931 - 1. assign V328346 = V823618 - 1. assign V865894 = V336494 - 1. assign V923328 = V253861 + 1. assign V628426 = V725697 - 1. assign V315730 = V802695. assign V166853 = V337231. assign V237352 = V994579. assign V029823 = V192551 - 1. assign V434396 = V966627 - 1. assign V994579 = V445309 + 1. assign V705397 = V159814 + 1. assign V414376 = V275491. assign V089087 = V917370. assign V543931 = V822114 - 1. assign V071111 = V693991 - 1. assign V869687 = V328346 + 1. assign V712043 = V089087. assign V385492 = V237352. assign V791894 = V569952 + 1. assign V516164 = V284811. assign V840683 = V474782 + 1. assign V163931 = V494762 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV602254 = 6;\n\nFrom these direct assignment(s), we have: \nV702489 = V602254 - 1 = 6 - 1 =5;\nNo other variables can be derived from V702489;\nNo other variables can be derived from V602254;\n\nNow we have done all the calculations. Derived variables are:\nV602254 = 6;\nV702489 = 5;\n\nNow we have finished this problem. ANSWER:\nV602254\n", "role": "assistant" } ]

[ "V168841" ]

[ { "content": "<context>\nassign V631545 = V155537 + 1. assign V818664 = V683574. assign V407464 = V783670 + 1. assign V961097 = V691627 + 1. assign V729066 = V459658. assign V427235 = V024888. assign V980069 = V937607 + 1. assign V025024 = V933321 - 1. assign V821751 = V371804 - 1. assign V299817 = V632280. assign V510522 = V160884 + 1. assign V478975 = V368892 - 1. assign V336405 = V810682 - 1. assign V530985 = V139856 - 1. assign V459658 = V821751 + 1. assign V550616 = V642382 + 1. assign V718122 = V834526 - 1. assign V400196 = V632280 - 1. assign V308565 = V336405 + 1. assign V056892 = V513464 + 1. assign V923972 = V400196 - 1. assign V489213 = V056682 - 1. assign V851225 = V543593 - 1. assign V409675 = V843100 + 1. assign V802969 = V168841 - 1. assign V586106 = V104892 - 1. assign V428526 = V834526 + 1. assign V701429 = V937607. assign V604380 = V683574. assign V170776 = V311018 - 1. assign V311018 = V834526 - 1. assign V155537 = V843100 + 1. assign V493629 = V311018 + 1. assign V160884 = V151394 + 1. assign V846692 = V151394. assign V881590 = V219373. assign V219373 = V400196. assign V299223 = V843100. assign V078735 = V104892 - 1. assign V056682 = V834526 - 1. assign V630386 = V718122. assign V104892 = V151394 + 1. assign V296820 = V834526 + 1. assign V250941 = V889758 - 1. assign V024888 = V407464 - 1. assign V683574 = V104892. assign V481460 = V889758 - 1. assign V371804 = V151394. assign V810682 = V481460 - 1. assign V624656 = V783670. assign V937607 = V567218 - 1. assign V266085 = V783670 + 1. assign V233526 = V151394 - 1. assign V843100 = V428526 + 1. assign V888057 = V368892. assign V888184 = V718122. assign V543593 = V683574 + 1. assign V644420 = V299817 - 1. assign V605467 = V056892 + 1. assign V759371 = V481460 - 1. assign V020837 = V367224. assign V367224 = V810682 - 1. assign V139856 = V407464. assign V691627 = V889758. assign V368892 = V569405 + 1. assign V457358 = V567218 + 1. assign V856985 = V718122. assign V889758 = V056682 - 1. assign V763176 = V510522. assign V513464 = V407464 - 1. assign V733928 = V569405 + 1. assign V632280 = V834526 + 1. assign V933321 = V311018 - 1. assign V254672 = V481460. assign V534668 = V409675 - 1. assign V168841 = 1. assign V932020 = V371804 - 1. assign V016745 = V510522 + 1. assign V619439 = V567218 + 1. assign V567218 = V151394. assign V569405 = V567218. assign V809609 = V368892. assign V642382 = V250941. assign V783670 = V104892 - 1. assign V092778 = V160884. assign V834526 = V151394 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V631545 = V155537 + 1. assign V818664 = V683574. assign V407464 = V783670 + 1. assign V961097 = V691627 + 1. assign V729066 = V459658. assign V427235 = V024888. assign V980069 = V937607 + 1. assign V025024 = V933321 - 1. assign V821751 = V371804 - 1. assign V299817 = V632280. assign V510522 = V160884 + 1. assign V478975 = V368892 - 1. assign V336405 = V810682 - 1. assign V530985 = V139856 - 1. assign V459658 = V821751 + 1. assign V550616 = V642382 + 1. assign V718122 = V834526 - 1. assign V400196 = V632280 - 1. assign V308565 = V336405 + 1. assign V056892 = V513464 + 1. assign V923972 = V400196 - 1. assign V489213 = V056682 - 1. assign V851225 = V543593 - 1. assign V409675 = V843100 + 1. assign V802969 = V168841 - 1. assign V586106 = V104892 - 1. assign V428526 = V834526 + 1. assign V701429 = V937607. assign V604380 = V683574. assign V170776 = V311018 - 1. assign V311018 = V834526 - 1. assign V155537 = V843100 + 1. assign V493629 = V311018 + 1. assign V160884 = V151394 + 1. assign V846692 = V151394. assign V881590 = V219373. assign V219373 = V400196. assign V299223 = V843100. assign V078735 = V104892 - 1. assign V056682 = V834526 - 1. assign V630386 = V718122. assign V104892 = V151394 + 1. assign V296820 = V834526 + 1. assign V250941 = V889758 - 1. assign V024888 = V407464 - 1. assign V683574 = V104892. assign V481460 = V889758 - 1. assign V371804 = V151394. assign V810682 = V481460 - 1. assign V624656 = V783670. assign V937607 = V567218 - 1. assign V266085 = V783670 + 1. assign V233526 = V151394 - 1. assign V843100 = V428526 + 1. assign V888057 = V368892. assign V888184 = V718122. assign V543593 = V683574 + 1. assign V644420 = V299817 - 1. assign V605467 = V056892 + 1. assign V759371 = V481460 - 1. assign V020837 = V367224. assign V367224 = V810682 - 1. assign V139856 = V407464. assign V691627 = V889758. assign V368892 = V569405 + 1. assign V457358 = V567218 + 1. assign V856985 = V718122. assign V889758 = V056682 - 1. assign V763176 = V510522. assign V513464 = V407464 - 1. assign V733928 = V569405 + 1. assign V632280 = V834526 + 1. assign V933321 = V311018 - 1. assign V254672 = V481460. assign V534668 = V409675 - 1. assign V168841 = 1. assign V932020 = V371804 - 1. assign V016745 = V510522 + 1. assign V619439 = V567218 + 1. assign V567218 = V151394. assign V569405 = V567218. assign V809609 = V368892. assign V642382 = V250941. assign V783670 = V104892 - 1. assign V092778 = V160884. assign V834526 = V151394 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV168841 = 1;\n\nFrom these direct assignment(s), we have: \nV802969 = V168841 - 1 = 1 - 1 =0;\nNo other variables can be derived from V802969;\nNo other variables can be derived from V168841;\n\nNow we have done all the calculations. Derived variables are:\nV168841 = 1;\nV802969 = 0;\n\nNow we have finished this problem. ANSWER:\nV168841\n", "role": "assistant" } ]

[ "V451115", "V273114" ]

[ { "content": "<context>\nassign V944894 = V659876. assign V524312 = V515941. assign V530820 = V966790. assign V042318 = V421512 - 1. assign V671055 = V832133 - 1. assign V756438 = V018900 - 1. assign V018322 = V768159 + 1. assign V740221 = V032700. assign V720710 = V832133 - 1. assign V454451 = V117355. assign V427278 = V940876 - 1. assign V145137 = V935268 - 1. assign V722361 = V427278 - 1. assign V614619 = V018322 + 1. assign V451115 = 9. assign V035252 = V753395. assign V705154 = V650782. assign V509379 = V413379 - 1. assign V935268 = V740221. assign V301825 = V740221 + 1. assign V061051 = V685294. assign V989586 = V515941 + 1. assign V768159 = V377230 + 1. assign V442780 = V035252 - 1. assign V421512 = V738948. assign V966790 = V659876 + 1. assign V626383 = V740221 - 1. assign V955846 = V844364 - 1. assign V231646 = V626383 - 1. assign V993362 = V032700 - 1. assign V075870 = V301825 - 1. assign V533802 = V616644. assign V685294 = V753395. assign V864516 = V018900. assign V896814 = V641233 - 1. assign V258879 = V102062 - 1. assign V844364 = V459549 - 1. assign V273114 = V451115. assign V983295 = V740221. assign V100030 = V509379 - 1. assign V044259 = V018900. assign V515941 = V626383 + 1. assign V910429 = V521274 - 1. assign V069736 = V533802 + 1. assign V237841 = V421512. assign V029052 = V685294. assign V378527 = V626383 - 1. assign V441939 = V454451 + 1. assign V783168 = V527732 + 1. assign V857290 = V075870 + 1. assign V832133 = V032700 - 1. assign V018900 = V626383 - 1. assign V102062 = V832133 - 1. assign V892866 = V626383 - 1. assign V627284 = V237841. assign V521274 = V935268 - 1. assign V765142 = V018322 - 1. assign V117355 = V301825 + 1. assign V182663 = V910429. assign V786311 = V018900. assign V446754 = V075870. assign V855159 = V441939 + 1. assign V413379 = V018900 - 1. assign V462445 = V032700. assign V522440 = V117355 + 1. assign V800978 = V910429 - 1. assign V806418 = V753395 + 1. assign V659876 = V413379 - 1. assign V263259 = V832133 + 1. assign V527732 = V892866 + 1. assign V738948 = V231646. assign V994361 = V102062 + 1. assign V753395 = V892866 - 1. assign V459549 = V806418 + 1. assign V616644 = V258879 - 1. assign V487088 = V616644 - 1. assign V641233 = V061051. assign V891555 = V832133 + 1. assign V377230 = V509379 + 1. assign V940876 = V993362 - 1. assign V650782 = V671762 + 1. assign V671762 = V459549. assign V532718 = V462445. assign V702860 = V301825. assign V742713 = V521274 + 1. assign V964997 = V892866.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V944894 = V659876. assign V524312 = V515941. assign V530820 = V966790. assign V042318 = V421512 - 1. assign V671055 = V832133 - 1. assign V756438 = V018900 - 1. assign V018322 = V768159 + 1. assign V740221 = V032700. assign V720710 = V832133 - 1. assign V454451 = V117355. assign V427278 = V940876 - 1. assign V145137 = V935268 - 1. assign V722361 = V427278 - 1. assign V614619 = V018322 + 1. assign V451115 = 9. assign V035252 = V753395. assign V705154 = V650782. assign V509379 = V413379 - 1. assign V935268 = V740221. assign V301825 = V740221 + 1. assign V061051 = V685294. assign V989586 = V515941 + 1. assign V768159 = V377230 + 1. assign V442780 = V035252 - 1. assign V421512 = V738948. assign V966790 = V659876 + 1. assign V626383 = V740221 - 1. assign V955846 = V844364 - 1. assign V231646 = V626383 - 1. assign V993362 = V032700 - 1. assign V075870 = V301825 - 1. assign V533802 = V616644. assign V685294 = V753395. assign V864516 = V018900. assign V896814 = V641233 - 1. assign V258879 = V102062 - 1. assign V844364 = V459549 - 1. assign V273114 = V451115. assign V983295 = V740221. assign V100030 = V509379 - 1. assign V044259 = V018900. assign V515941 = V626383 + 1. assign V910429 = V521274 - 1. assign V069736 = V533802 + 1. assign V237841 = V421512. assign V029052 = V685294. assign V378527 = V626383 - 1. assign V441939 = V454451 + 1. assign V783168 = V527732 + 1. assign V857290 = V075870 + 1. assign V832133 = V032700 - 1. assign V018900 = V626383 - 1. assign V102062 = V832133 - 1. assign V892866 = V626383 - 1. assign V627284 = V237841. assign V521274 = V935268 - 1. assign V765142 = V018322 - 1. assign V117355 = V301825 + 1. assign V182663 = V910429. assign V786311 = V018900. assign V446754 = V075870. assign V855159 = V441939 + 1. assign V413379 = V018900 - 1. assign V462445 = V032700. assign V522440 = V117355 + 1. assign V800978 = V910429 - 1. assign V806418 = V753395 + 1. assign V659876 = V413379 - 1. assign V263259 = V832133 + 1. assign V527732 = V892866 + 1. assign V738948 = V231646. assign V994361 = V102062 + 1. assign V753395 = V892866 - 1. assign V459549 = V806418 + 1. assign V616644 = V258879 - 1. assign V487088 = V616644 - 1. assign V641233 = V061051. assign V891555 = V832133 + 1. assign V377230 = V509379 + 1. assign V940876 = V993362 - 1. assign V650782 = V671762 + 1. assign V671762 = V459549. assign V532718 = V462445. assign V702860 = V301825. assign V742713 = V521274 + 1. assign V964997 = V892866.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV451115 = 9;\n\nFrom these direct assignment(s), we have: \nV273114 = V451115 = 9;\nNo other variables can be derived from V273114;\nNo other variables can be derived from V451115;\n\nNow we have done all the calculations. Derived variables are:\nV451115 = 9;\nV273114 = 9;\n\nNow we have finished this problem. ANSWER:\nV451115, V273114\n", "role": "assistant" } ]

[ "V152079" ]

[ { "content": "<context>\nassign V665470 = V636886. assign V137060 = V425168 + 1. assign V257380 = V843607 + 1. assign V661601 = V491643 - 1. assign V185004 = V568630. assign V693381 = V143464. assign V161904 = V997099 - 1. assign V408690 = V889951. assign V528374 = V568630 - 1. assign V636886 = V085160 + 1. assign V972198 = V693381. assign V561459 = V283451 - 1. assign V233779 = V567438 + 1. assign V283451 = V413056. assign V328169 = V137060. assign V393096 = V950167. assign V454607 = V050358. assign V108325 = V307306. assign V850683 = V085160 + 1. assign V624105 = V143464 - 1. assign V526305 = V328169. assign V417759 = V670626 + 1. assign V034052 = V630897 - 1. assign V143464 = V587217 + 1. assign V413056 = V278282 + 1. assign V583524 = V557793 - 1. assign V403148 = V108314 - 1. assign V820614 = V733933 - 1. assign V403453 = V143464. assign V854234 = V413056 + 1. assign V304394 = V997099. assign V733933 = V108314 + 1. assign V742190 = V950167. assign V459107 = V108314 - 1. assign V617803 = V693381. assign V997702 = V413056 + 1. assign V950167 = V108314. assign V533401 = V108314 - 1. assign V982946 = V425168. assign V310824 = V108314 - 1. assign V997099 = V843607 - 1. assign V369963 = V425168. assign V889951 = V607993 + 1. assign V928053 = V693381 + 1. assign V247469 = V630897 + 1. assign V557793 = V786852 - 1. assign V949978 = V568630 - 1. assign V939696 = V587217 + 1. assign V567438 = V103318. assign V895281 = V681335 + 1. assign V336817 = V278282. assign V147557 = V568630. assign V103318 = V459107. assign V307306 = V944012. assign V957036 = V567438 - 1. assign V607993 = V587217 + 1. assign V843607 = V403148. assign V637447 = V997702 - 1. assign V771993 = V459107 - 1. assign V587217 = V568630 + 1. assign V377608 = V185004 - 1. assign V491643 = V108314 + 1. assign V041772 = V278282. assign V681335 = V108314. assign V705854 = V085160. assign V736798 = V108314 + 1. assign V194918 = V310824 + 1. assign V425168 = V681335 + 1. assign V095007 = V425168 + 1. assign V688472 = V850683 + 1. assign V568630 = V681335 + 1. assign V817976 = V095007 + 1. assign V278282 = V568630. assign V670626 = V630897 + 1. assign V786852 = V705854 + 1. assign V945355 = 7. assign V597221 = V143464 - 1. assign V507570 = V843607 + 1. assign V504637 = V597221. assign V399359 = V624105 - 1. assign V630897 = V693381 + 1. assign V050358 = V143464 + 1. assign V944012 = V705854 + 1. assign V152079 = V945355 - 1. assign V327233 = V095007 + 1. assign V085160 = V733933 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V665470 = V636886. assign V137060 = V425168 + 1. assign V257380 = V843607 + 1. assign V661601 = V491643 - 1. assign V185004 = V568630. assign V693381 = V143464. assign V161904 = V997099 - 1. assign V408690 = V889951. assign V528374 = V568630 - 1. assign V636886 = V085160 + 1. assign V972198 = V693381. assign V561459 = V283451 - 1. assign V233779 = V567438 + 1. assign V283451 = V413056. assign V328169 = V137060. assign V393096 = V950167. assign V454607 = V050358. assign V108325 = V307306. assign V850683 = V085160 + 1. assign V624105 = V143464 - 1. assign V526305 = V328169. assign V417759 = V670626 + 1. assign V034052 = V630897 - 1. assign V143464 = V587217 + 1. assign V413056 = V278282 + 1. assign V583524 = V557793 - 1. assign V403148 = V108314 - 1. assign V820614 = V733933 - 1. assign V403453 = V143464. assign V854234 = V413056 + 1. assign V304394 = V997099. assign V733933 = V108314 + 1. assign V742190 = V950167. assign V459107 = V108314 - 1. assign V617803 = V693381. assign V997702 = V413056 + 1. assign V950167 = V108314. assign V533401 = V108314 - 1. assign V982946 = V425168. assign V310824 = V108314 - 1. assign V997099 = V843607 - 1. assign V369963 = V425168. assign V889951 = V607993 + 1. assign V928053 = V693381 + 1. assign V247469 = V630897 + 1. assign V557793 = V786852 - 1. assign V949978 = V568630 - 1. assign V939696 = V587217 + 1. assign V567438 = V103318. assign V895281 = V681335 + 1. assign V336817 = V278282. assign V147557 = V568630. assign V103318 = V459107. assign V307306 = V944012. assign V957036 = V567438 - 1. assign V607993 = V587217 + 1. assign V843607 = V403148. assign V637447 = V997702 - 1. assign V771993 = V459107 - 1. assign V587217 = V568630 + 1. assign V377608 = V185004 - 1. assign V491643 = V108314 + 1. assign V041772 = V278282. assign V681335 = V108314. assign V705854 = V085160. assign V736798 = V108314 + 1. assign V194918 = V310824 + 1. assign V425168 = V681335 + 1. assign V095007 = V425168 + 1. assign V688472 = V850683 + 1. assign V568630 = V681335 + 1. assign V817976 = V095007 + 1. assign V278282 = V568630. assign V670626 = V630897 + 1. assign V786852 = V705854 + 1. assign V945355 = 7. assign V597221 = V143464 - 1. assign V507570 = V843607 + 1. assign V504637 = V597221. assign V399359 = V624105 - 1. assign V630897 = V693381 + 1. assign V050358 = V143464 + 1. assign V944012 = V705854 + 1. assign V152079 = V945355 - 1. assign V327233 = V095007 + 1. assign V085160 = V733933 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV945355 = 7;\n\nFrom these direct assignment(s), we have: \nV152079 = V945355 - 1 = 7 - 1 =6;\nNo other variables can be derived from V152079;\nNo other variables can be derived from V945355;\n\nNow we have done all the calculations. Derived variables are:\nV945355 = 7;\nV152079 = 6;\n\nNow we have finished this problem. ANSWER:\nV152079\n", "role": "assistant" } ]

[ "V052014" ]

[ { "content": "<context>\nassign V444762 = V174982. assign V821626 = V656173. assign V110949 = V520449 + 1. assign V266201 = V614265 + 1. assign V752407 = V881199. assign V031668 = V469344. assign V944023 = 5. assign V799558 = V084646 - 1. assign V874620 = V493104 + 1. assign V084646 = V125780 + 1. assign V472246 = V433151 + 1. assign V324001 = V472246 - 1. assign V215544 = V053591. assign V166436 = V656173. assign V742738 = V031668 + 1. assign V493104 = V054284 + 1. assign V734290 = V881199 + 1. assign V031638 = V056376 - 1. assign V893307 = V881199 + 1. assign V211873 = V856863 - 1. assign V051260 = V649634. assign V196981 = V932345. assign V443255 = V031668 + 1. assign V691043 = V881199. assign V012878 = V691043 - 1. assign V433151 = V469344 + 1. assign V484023 = V856863 + 1. assign V593356 = V513195 + 1. assign V656173 = V053591. assign V052014 = V944023 - 1. assign V070914 = V472246 + 1. assign V932345 = V856863 - 1. assign V278864 = V580766 + 1. assign V066673 = V451506 - 1. assign V376952 = V856863 + 1. assign V755025 = V293792 - 1. assign V649634 = V893307 + 1. assign V973590 = V459124 - 1. assign V056376 = V879146. assign V879146 = V856863 - 1. assign V066243 = V004700. assign V614265 = V881199 + 1. assign V162179 = V472246 - 1. assign V913451 = V162179 + 1. assign V848811 = V638398 - 1. assign V911153 = V578912. assign V513195 = V638398 - 1. assign V469344 = V856863 + 1. assign V520449 = V932345 + 1. assign V091550 = V444762. assign V578912 = V459124 + 1. assign V125780 = V484023 + 1. assign V818556 = V879146. assign V017136 = V881199 + 1. assign V274970 = V124153 + 1. assign V124153 = V125780 + 1. assign V580766 = V881199. assign V004700 = V469344. assign V459124 = V742738 - 1. assign V638398 = V881199 - 1. assign V059259 = V593356 + 1. assign V374287 = V881199 - 1. assign V984893 = V472246 + 1. assign V293792 = V712013 + 1. assign V814724 = V324001 - 1. assign V876925 = V893307. assign V680087 = V856863. assign V801129 = V712013. assign V404086 = V893307 - 1. assign V403886 = V110949. assign V053591 = V881199. assign V881199 = V856863 - 1. assign V054284 = V023817 - 1. assign V451506 = V856863. assign V835249 = V469344. assign V037229 = V472246. assign V174982 = V712013 + 1. assign V930609 = V124153 + 1. assign V450616 = V031668 - 1. assign V644811 = V520449. assign V406237 = V484023 + 1. assign V712013 = V376952 + 1. assign V368731 = V513195 - 1. assign V023817 = V879146 - 1. assign V378866 = V752407 - 1. assign V461399 = V196981 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V444762 = V174982. assign V821626 = V656173. assign V110949 = V520449 + 1. assign V266201 = V614265 + 1. assign V752407 = V881199. assign V031668 = V469344. assign V944023 = 5. assign V799558 = V084646 - 1. assign V874620 = V493104 + 1. assign V084646 = V125780 + 1. assign V472246 = V433151 + 1. assign V324001 = V472246 - 1. assign V215544 = V053591. assign V166436 = V656173. assign V742738 = V031668 + 1. assign V493104 = V054284 + 1. assign V734290 = V881199 + 1. assign V031638 = V056376 - 1. assign V893307 = V881199 + 1. assign V211873 = V856863 - 1. assign V051260 = V649634. assign V196981 = V932345. assign V443255 = V031668 + 1. assign V691043 = V881199. assign V012878 = V691043 - 1. assign V433151 = V469344 + 1. assign V484023 = V856863 + 1. assign V593356 = V513195 + 1. assign V656173 = V053591. assign V052014 = V944023 - 1. assign V070914 = V472246 + 1. assign V932345 = V856863 - 1. assign V278864 = V580766 + 1. assign V066673 = V451506 - 1. assign V376952 = V856863 + 1. assign V755025 = V293792 - 1. assign V649634 = V893307 + 1. assign V973590 = V459124 - 1. assign V056376 = V879146. assign V879146 = V856863 - 1. assign V066243 = V004700. assign V614265 = V881199 + 1. assign V162179 = V472246 - 1. assign V913451 = V162179 + 1. assign V848811 = V638398 - 1. assign V911153 = V578912. assign V513195 = V638398 - 1. assign V469344 = V856863 + 1. assign V520449 = V932345 + 1. assign V091550 = V444762. assign V578912 = V459124 + 1. assign V125780 = V484023 + 1. assign V818556 = V879146. assign V017136 = V881199 + 1. assign V274970 = V124153 + 1. assign V124153 = V125780 + 1. assign V580766 = V881199. assign V004700 = V469344. assign V459124 = V742738 - 1. assign V638398 = V881199 - 1. assign V059259 = V593356 + 1. assign V374287 = V881199 - 1. assign V984893 = V472246 + 1. assign V293792 = V712013 + 1. assign V814724 = V324001 - 1. assign V876925 = V893307. assign V680087 = V856863. assign V801129 = V712013. assign V404086 = V893307 - 1. assign V403886 = V110949. assign V053591 = V881199. assign V881199 = V856863 - 1. assign V054284 = V023817 - 1. assign V451506 = V856863. assign V835249 = V469344. assign V037229 = V472246. assign V174982 = V712013 + 1. assign V930609 = V124153 + 1. assign V450616 = V031668 - 1. assign V644811 = V520449. assign V406237 = V484023 + 1. assign V712013 = V376952 + 1. assign V368731 = V513195 - 1. assign V023817 = V879146 - 1. assign V378866 = V752407 - 1. assign V461399 = V196981 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV944023 = 5;\n\nFrom these direct assignment(s), we have: \nV052014 = V944023 - 1 = 5 - 1 =4;\nNo other variables can be derived from V052014;\nNo other variables can be derived from V944023;\n\nNow we have done all the calculations. Derived variables are:\nV944023 = 5;\nV052014 = 4;\n\nNow we have finished this problem. ANSWER:\nV052014\n", "role": "assistant" } ]

[ "V198054" ]

[ { "content": "<context>\nassign V026217 = V541723 + 1. assign V571867 = V240707 - 1. assign V262581 = V069966 + 1. assign V275017 = V587484 - 1. assign V051839 = V763106 - 1. assign V973402 = V270308 - 1. assign V295655 = V833093 + 1. assign V795228 = V444765 + 1. assign V763106 = V827557 - 1. assign V198054 = 10. assign V080686 = V482515 - 1. assign V376635 = V613606. assign V358317 = V829161. assign V845668 = V358317 + 1. assign V295494 = V621066 - 1. assign V324707 = V049446. assign V363776 = V606301 + 1. assign V988450 = V763106 - 1. assign V918190 = V988902 - 1. assign V120030 = V107296 - 1. assign V621066 = V069966. assign V528410 = V541723. assign V069966 = V240707. assign V441669 = V533733 - 1. assign V482515 = V587484 + 1. assign V987506 = V244348 - 1. assign V240707 = V587484 + 1. assign V031747 = V621066. assign V270308 = V325807 - 1. assign V829161 = V988902 + 1. assign V520680 = V482515 - 1. assign V975523 = V935952. assign V827557 = V533733 - 1. assign V469935 = V174198 + 1. assign V227489 = V975523. assign V448271 = V613476 + 1. assign V210391 = V358317 + 1. assign V478840 = V520680 + 1. assign V171827 = V198054 + 1. assign V415348 = V530165 - 1. assign V415220 = V049446 + 1. assign V377088 = V295494. assign V488989 = V845668 - 1. assign V230249 = V238811 - 1. assign V995521 = V151894. assign V323484 = V571867 - 1. assign V833093 = V049446 - 1. assign V165997 = V325807 + 1. assign V988902 = V827557 + 1. assign V528937 = V571867 + 1. assign V485746 = V533733 + 1. assign V956692 = V415220. assign V613476 = V069966 - 1. assign V587484 = V988902 + 1. assign V444765 = V441669. assign V116251 = V446753. assign V720318 = V482515. assign V244348 = V988902 + 1. assign V542165 = V988902 + 1. assign V497169 = V482515. assign V085674 = V578569 - 1. assign V076212 = V935952. assign V738009 = V210391 - 1. assign V218807 = V051839. assign V935952 = V210391 + 1. assign V636580 = V533733. assign V578569 = V244348 - 1. assign V355868 = V227489. assign V929022 = V485746 + 1. assign V238811 = V621066 + 1. assign V541723 = V210391 + 1. assign V107296 = V210391 - 1. assign V606301 = V441669. assign V583288 = V855433. assign V174198 = V482515 - 1. assign V325807 = V541723 - 1. assign V151894 = V613476. assign V530165 = V295655 - 1. assign V972527 = V763106 + 1. assign V094757 = V358317 + 1. assign V855433 = V541723 + 1. assign V484785 = V051839 - 1. assign V547078 = V325807. assign V613606 = V845668. assign V049446 = V240707 - 1. assign V446753 = V355868 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V026217 = V541723 + 1. assign V571867 = V240707 - 1. assign V262581 = V069966 + 1. assign V275017 = V587484 - 1. assign V051839 = V763106 - 1. assign V973402 = V270308 - 1. assign V295655 = V833093 + 1. assign V795228 = V444765 + 1. assign V763106 = V827557 - 1. assign V198054 = 10. assign V080686 = V482515 - 1. assign V376635 = V613606. assign V358317 = V829161. assign V845668 = V358317 + 1. assign V295494 = V621066 - 1. assign V324707 = V049446. assign V363776 = V606301 + 1. assign V988450 = V763106 - 1. assign V918190 = V988902 - 1. assign V120030 = V107296 - 1. assign V621066 = V069966. assign V528410 = V541723. assign V069966 = V240707. assign V441669 = V533733 - 1. assign V482515 = V587484 + 1. assign V987506 = V244348 - 1. assign V240707 = V587484 + 1. assign V031747 = V621066. assign V270308 = V325807 - 1. assign V829161 = V988902 + 1. assign V520680 = V482515 - 1. assign V975523 = V935952. assign V827557 = V533733 - 1. assign V469935 = V174198 + 1. assign V227489 = V975523. assign V448271 = V613476 + 1. assign V210391 = V358317 + 1. assign V478840 = V520680 + 1. assign V171827 = V198054 + 1. assign V415348 = V530165 - 1. assign V415220 = V049446 + 1. assign V377088 = V295494. assign V488989 = V845668 - 1. assign V230249 = V238811 - 1. assign V995521 = V151894. assign V323484 = V571867 - 1. assign V833093 = V049446 - 1. assign V165997 = V325807 + 1. assign V988902 = V827557 + 1. assign V528937 = V571867 + 1. assign V485746 = V533733 + 1. assign V956692 = V415220. assign V613476 = V069966 - 1. assign V587484 = V988902 + 1. assign V444765 = V441669. assign V116251 = V446753. assign V720318 = V482515. assign V244348 = V988902 + 1. assign V542165 = V988902 + 1. assign V497169 = V482515. assign V085674 = V578569 - 1. assign V076212 = V935952. assign V738009 = V210391 - 1. assign V218807 = V051839. assign V935952 = V210391 + 1. assign V636580 = V533733. assign V578569 = V244348 - 1. assign V355868 = V227489. assign V929022 = V485746 + 1. assign V238811 = V621066 + 1. assign V541723 = V210391 + 1. assign V107296 = V210391 - 1. assign V606301 = V441669. assign V583288 = V855433. assign V174198 = V482515 - 1. assign V325807 = V541723 - 1. assign V151894 = V613476. assign V530165 = V295655 - 1. assign V972527 = V763106 + 1. assign V094757 = V358317 + 1. assign V855433 = V541723 + 1. assign V484785 = V051839 - 1. assign V547078 = V325807. assign V613606 = V845668. assign V049446 = V240707 - 1. assign V446753 = V355868 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV198054 = 10;\n\nFrom these direct assignment(s), we have: \nV171827 = V198054 + 1 = 10 + 1 =11;\nNo other variables can be derived from V171827;\nNo other variables can be derived from V198054;\n\nNow we have done all the calculations. Derived variables are:\nV198054 = 10;\nV171827 = 11;\n\nNow we have finished this problem. ANSWER:\nV198054\n", "role": "assistant" } ]

[ "V234943" ]

[ { "content": "<context>\nassign V126573 = V581961 + 1. assign V950372 = V041300 + 1. assign V109634 = V059245. assign V942317 = V123829 - 1. assign V359137 = V721105. assign V855667 = V109634 + 1. assign V922192 = V521078 - 1. assign V162027 = V581961 + 1. assign V576776 = V241412. assign V657467 = V147326 - 1. assign V172623 = V269176 + 1. assign V851997 = V581961 - 1. assign V510597 = V323004 - 1. assign V210221 = V510597 - 1. assign V289417 = V234943 - 1. assign V693320 = V337719 - 1. assign V729409 = V391470 - 1. assign V318007 = V839173. assign V581961 = V228020. assign V311282 = V165393 - 1. assign V986427 = V688973 + 1. assign V391470 = V687981 + 1. assign V613515 = V918660. assign V704936 = V337719. assign V680913 = V721105. assign V199450 = V400979 + 1. assign V878142 = V889974. assign V414833 = V391470 - 1. assign V234943 = 2. assign V131507 = V510597. assign V163751 = V721105 - 1. assign V826785 = V165393 + 1. assign V492317 = V984954 + 1. assign V178641 = V210221 - 1. assign V566308 = V687981 - 1. assign V944201 = V492317. assign V337719 = V094634 + 1. assign V094634 = V170864 + 1. assign V170864 = V721105 - 1. assign V293162 = V126573 - 1. assign V144761 = V729409 + 1. assign V894013 = V147326 - 1. assign V307944 = V359137 + 1. assign V551642 = V686803 - 1. assign V521078 = V247460. assign V147326 = V781492 - 1. assign V951643 = V041300 + 1. assign V854129 = V123829 + 1. assign V247460 = V241412 + 1. assign V323004 = V247460 - 1. assign V392352 = V576776 - 1. assign V187923 = V241412 + 1. assign V606525 = V839173 + 1. assign V228020 = V687981 - 1. assign V269176 = V576776. assign V359181 = V269176 - 1. assign V123829 = V241412 - 1. assign V686803 = V729409. assign V889974 = V318007 + 1. assign V375726 = V878142 - 1. assign V302654 = V210221. assign V466995 = V729409. assign V400979 = V686803 - 1. assign V993872 = V566308. assign V904852 = V716259 + 1. assign V658899 = V686803 + 1. assign V859000 = V566308 - 1. assign V060694 = V147326 - 1. assign V041300 = V521078 - 1. assign V475667 = V854129 + 1. assign V300255 = V359137 - 1. assign V688973 = V400979 - 1. assign V125682 = V781492 - 1. assign V165393 = V318007 - 1. assign V462528 = V059245 + 1. assign V984954 = V839173 - 1. assign V781492 = V984954 - 1. assign V059245 = V721105 - 1. assign V839173 = V392352 + 1. assign V572820 = V392352 + 1. assign V241412 = V687981 + 1. assign V430794 = V462528. assign V721105 = V318007 + 1. assign V918660 = V109634 + 1. assign V716259 = V228020. assign V919222 = V392352 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V126573 = V581961 + 1. assign V950372 = V041300 + 1. assign V109634 = V059245. assign V942317 = V123829 - 1. assign V359137 = V721105. assign V855667 = V109634 + 1. assign V922192 = V521078 - 1. assign V162027 = V581961 + 1. assign V576776 = V241412. assign V657467 = V147326 - 1. assign V172623 = V269176 + 1. assign V851997 = V581961 - 1. assign V510597 = V323004 - 1. assign V210221 = V510597 - 1. assign V289417 = V234943 - 1. assign V693320 = V337719 - 1. assign V729409 = V391470 - 1. assign V318007 = V839173. assign V581961 = V228020. assign V311282 = V165393 - 1. assign V986427 = V688973 + 1. assign V391470 = V687981 + 1. assign V613515 = V918660. assign V704936 = V337719. assign V680913 = V721105. assign V199450 = V400979 + 1. assign V878142 = V889974. assign V414833 = V391470 - 1. assign V234943 = 2. assign V131507 = V510597. assign V163751 = V721105 - 1. assign V826785 = V165393 + 1. assign V492317 = V984954 + 1. assign V178641 = V210221 - 1. assign V566308 = V687981 - 1. assign V944201 = V492317. assign V337719 = V094634 + 1. assign V094634 = V170864 + 1. assign V170864 = V721105 - 1. assign V293162 = V126573 - 1. assign V144761 = V729409 + 1. assign V894013 = V147326 - 1. assign V307944 = V359137 + 1. assign V551642 = V686803 - 1. assign V521078 = V247460. assign V147326 = V781492 - 1. assign V951643 = V041300 + 1. assign V854129 = V123829 + 1. assign V247460 = V241412 + 1. assign V323004 = V247460 - 1. assign V392352 = V576776 - 1. assign V187923 = V241412 + 1. assign V606525 = V839173 + 1. assign V228020 = V687981 - 1. assign V269176 = V576776. assign V359181 = V269176 - 1. assign V123829 = V241412 - 1. assign V686803 = V729409. assign V889974 = V318007 + 1. assign V375726 = V878142 - 1. assign V302654 = V210221. assign V466995 = V729409. assign V400979 = V686803 - 1. assign V993872 = V566308. assign V904852 = V716259 + 1. assign V658899 = V686803 + 1. assign V859000 = V566308 - 1. assign V060694 = V147326 - 1. assign V041300 = V521078 - 1. assign V475667 = V854129 + 1. assign V300255 = V359137 - 1. assign V688973 = V400979 - 1. assign V125682 = V781492 - 1. assign V165393 = V318007 - 1. assign V462528 = V059245 + 1. assign V984954 = V839173 - 1. assign V781492 = V984954 - 1. assign V059245 = V721105 - 1. assign V839173 = V392352 + 1. assign V572820 = V392352 + 1. assign V241412 = V687981 + 1. assign V430794 = V462528. assign V721105 = V318007 + 1. assign V918660 = V109634 + 1. assign V716259 = V228020. assign V919222 = V392352 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV234943 = 2;\n\nFrom these direct assignment(s), we have: \nV289417 = V234943 - 1 = 2 - 1 =1;\nNo other variables can be derived from V289417;\nNo other variables can be derived from V234943;\n\nNow we have done all the calculations. Derived variables are:\nV234943 = 2;\nV289417 = 1;\n\nNow we have finished this problem. ANSWER:\nV234943\n", "role": "assistant" } ]

[ "V875023", "V619989" ]

[ { "content": "<context>\nassign V158222 = V156848. assign V620056 = V267489 + 1. assign V142578 = V228170 + 1. assign V351039 = V140691. assign V165394 = V339823 - 1. assign V256717 = V156848 - 1. assign V267489 = V768740 + 1. assign V368661 = V256717 + 1. assign V227772 = V687667 + 1. assign V950017 = V827893. assign V132736 = V156848 - 1. assign V454361 = V156848. assign V687922 = V158222 + 1. assign V238878 = V781322 + 1. assign V768740 = V132736 + 1. assign V106327 = V428677 - 1. assign V362756 = V725074 + 1. assign V136879 = V087819. assign V140691 = V937148. assign V254103 = V134192 + 1. assign V126362 = V362186. assign V643053 = V140691. assign V454111 = V842124. assign V323207 = V087819 + 1. assign V937148 = V256717 - 1. assign V842124 = V781322. assign V649540 = V440370. assign V825920 = V159413. assign V220672 = V106327 - 1. assign V536508 = V132736 + 1. assign V130187 = V160022 - 1. assign V919088 = V142578. assign V753221 = V087819. assign V159413 = V132736. assign V781322 = V401026. assign V401026 = V256717. assign V982077 = V267489 + 1. assign V632702 = V166790. assign V634491 = V768740 - 1. assign V339823 = V401026 + 1. assign V485075 = V132736. assign V928833 = V166790 - 1. assign V228170 = V256717 - 1. assign V725074 = V818904. assign V751186 = V536508 + 1. assign V412031 = V893525 - 1. assign V923463 = V158222 - 1. assign V818904 = V620056. assign V628426 = V198913. assign V178616 = V714763 - 1. assign V473566 = V937148 + 1. assign V619989 = V875023. assign V443763 = V768740 - 1. assign V687667 = V159413 + 1. assign V362186 = V781322 - 1. assign V119274 = V106327 + 1. assign V699168 = V887956 - 1. assign V447109 = V148299 - 1. assign V793770 = V536508 - 1. assign V422687 = V440370 + 1. assign V283584 = V643053 + 1. assign V440370 = V156848 - 1. assign V148299 = V159413. assign V291830 = V148299. assign V198913 = V781322 - 1. assign V428677 = V156848. assign V526436 = V714763 - 1. assign V638975 = V893525 - 1. assign V887956 = V156848 - 1. assign V753114 = V134192. assign V268154 = V220672. assign V875023 = 10. assign V087059 = V256717 - 1. assign V166790 = V428677. assign V827893 = V156848 - 1. assign V034770 = V827893. assign V893525 = V323207 - 1. assign V984687 = V254103. assign V160022 = V140691 + 1. assign V134192 = V536508. assign V479013 = V130187 - 1. assign V103210 = V198913 - 1. assign V377980 = V454111 - 1. assign V087819 = V132736. assign V714763 = V781322 - 1. assign V294312 = V753114 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V158222 = V156848. assign V620056 = V267489 + 1. assign V142578 = V228170 + 1. assign V351039 = V140691. assign V165394 = V339823 - 1. assign V256717 = V156848 - 1. assign V267489 = V768740 + 1. assign V368661 = V256717 + 1. assign V227772 = V687667 + 1. assign V950017 = V827893. assign V132736 = V156848 - 1. assign V454361 = V156848. assign V687922 = V158222 + 1. assign V238878 = V781322 + 1. assign V768740 = V132736 + 1. assign V106327 = V428677 - 1. assign V362756 = V725074 + 1. assign V136879 = V087819. assign V140691 = V937148. assign V254103 = V134192 + 1. assign V126362 = V362186. assign V643053 = V140691. assign V454111 = V842124. assign V323207 = V087819 + 1. assign V937148 = V256717 - 1. assign V842124 = V781322. assign V649540 = V440370. assign V825920 = V159413. assign V220672 = V106327 - 1. assign V536508 = V132736 + 1. assign V130187 = V160022 - 1. assign V919088 = V142578. assign V753221 = V087819. assign V159413 = V132736. assign V781322 = V401026. assign V401026 = V256717. assign V982077 = V267489 + 1. assign V632702 = V166790. assign V634491 = V768740 - 1. assign V339823 = V401026 + 1. assign V485075 = V132736. assign V928833 = V166790 - 1. assign V228170 = V256717 - 1. assign V725074 = V818904. assign V751186 = V536508 + 1. assign V412031 = V893525 - 1. assign V923463 = V158222 - 1. assign V818904 = V620056. assign V628426 = V198913. assign V178616 = V714763 - 1. assign V473566 = V937148 + 1. assign V619989 = V875023. assign V443763 = V768740 - 1. assign V687667 = V159413 + 1. assign V362186 = V781322 - 1. assign V119274 = V106327 + 1. assign V699168 = V887956 - 1. assign V447109 = V148299 - 1. assign V793770 = V536508 - 1. assign V422687 = V440370 + 1. assign V283584 = V643053 + 1. assign V440370 = V156848 - 1. assign V148299 = V159413. assign V291830 = V148299. assign V198913 = V781322 - 1. assign V428677 = V156848. assign V526436 = V714763 - 1. assign V638975 = V893525 - 1. assign V887956 = V156848 - 1. assign V753114 = V134192. assign V268154 = V220672. assign V875023 = 10. assign V087059 = V256717 - 1. assign V166790 = V428677. assign V827893 = V156848 - 1. assign V034770 = V827893. assign V893525 = V323207 - 1. assign V984687 = V254103. assign V160022 = V140691 + 1. assign V134192 = V536508. assign V479013 = V130187 - 1. assign V103210 = V198913 - 1. assign V377980 = V454111 - 1. assign V087819 = V132736. assign V714763 = V781322 - 1. assign V294312 = V753114 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV875023 = 10;\n\nFrom these direct assignment(s), we have: \nV619989 = V875023 = 10;\nNo other variables can be derived from V619989;\nNo other variables can be derived from V875023;\n\nNow we have done all the calculations. Derived variables are:\nV875023 = 10;\nV619989 = 10;\n\nNow we have finished this problem. ANSWER:\nV875023, V619989\n", "role": "assistant" } ]

[ "V683875" ]

[ { "content": "<context>\nassign V384326 = V934652 + 1. assign V677986 = V233598. assign V317294 = V427716. assign V889676 = V795706 + 1. assign V415329 = V801969 - 1. assign V237526 = V522565 - 1. assign V348971 = V177360 - 1. assign V334807 = V857938 + 1. assign V590965 = V731443 + 1. assign V496899 = V540054 - 1. assign V791743 = V187577 - 1. assign V731443 = V483626. assign V830537 = V415329 + 1. assign V278993 = V187577 - 1. assign V540054 = V055507 + 1. assign V057126 = V523407 - 1. assign V338570 = V177360. assign V934652 = V265904 + 1. assign V782085 = V672914 + 1. assign V523407 = V731443. assign V522565 = V523407. assign V165024 = V002553. assign V671818 = V801969. assign V743657 = V763467 - 1. assign V466908 = V057126. assign V305829 = V857938 + 1. assign V065802 = V851957 + 1. assign V523887 = V265904. assign V747315 = V934652 - 1. assign V033192 = V366368 + 1. assign V177360 = V522565 + 1. assign V489272 = V278993 + 1. assign V335183 = V831124 - 1. assign V427716 = V522565 - 1. assign V044475 = V317294 + 1. assign V874295 = V683875 + 1. assign V259753 = V889676 - 1. assign V407951 = V055507. assign V985514 = V366368 - 1. assign V002553 = V187577 + 1. assign V672914 = V489272 - 1. assign V357167 = V890964 + 1. assign V408289 = V334807. assign V881710 = V305829. assign V614328 = V329371. assign V573818 = V233598. assign V656586 = V934652. assign V163427 = V947231 - 1. assign V407555 = V522565 + 1. assign V331624 = V108806. assign V560251 = V407555. assign V831124 = V237526. assign V626139 = V857217. assign V402228 = V237526 + 1. assign V523722 = V483626 - 1. assign V427173 = V187577 - 1. assign V795706 = V831124. assign V187577 = V993627 - 1. assign V890964 = V523722 - 1. assign V857938 = V522565 + 1. assign V947231 = V334807 + 1. assign V763467 = V317294 - 1. assign V993627 = V177360. assign V851957 = V187577. assign V178637 = V993627 + 1. assign V055507 = V384326 + 1. assign V801969 = V187577 + 1. assign V857217 = V496899 - 1. assign V471690 = V278993 - 1. assign V157966 = V055507 + 1. assign V326212 = V763467 - 1. assign V329371 = V795706 - 1. assign V732006 = V187577. assign V108806 = V791743. assign V704041 = V055507 - 1. assign V683875 = 0. assign V684733 = V523722 + 1. assign V944879 = V573818 - 1. assign V366368 = V831124 - 1. assign V483626 = V265904 + 1. assign V582345 = V334807 + 1. assign V101761 = V366368 + 1. assign V175217 = V677986 - 1. assign V233598 = V523887 - 1. assign V196658 = V731443 + 1. assign V434300 = V483626 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V384326 = V934652 + 1. assign V677986 = V233598. assign V317294 = V427716. assign V889676 = V795706 + 1. assign V415329 = V801969 - 1. assign V237526 = V522565 - 1. assign V348971 = V177360 - 1. assign V334807 = V857938 + 1. assign V590965 = V731443 + 1. assign V496899 = V540054 - 1. assign V791743 = V187577 - 1. assign V731443 = V483626. assign V830537 = V415329 + 1. assign V278993 = V187577 - 1. assign V540054 = V055507 + 1. assign V057126 = V523407 - 1. assign V338570 = V177360. assign V934652 = V265904 + 1. assign V782085 = V672914 + 1. assign V523407 = V731443. assign V522565 = V523407. assign V165024 = V002553. assign V671818 = V801969. assign V743657 = V763467 - 1. assign V466908 = V057126. assign V305829 = V857938 + 1. assign V065802 = V851957 + 1. assign V523887 = V265904. assign V747315 = V934652 - 1. assign V033192 = V366368 + 1. assign V177360 = V522565 + 1. assign V489272 = V278993 + 1. assign V335183 = V831124 - 1. assign V427716 = V522565 - 1. assign V044475 = V317294 + 1. assign V874295 = V683875 + 1. assign V259753 = V889676 - 1. assign V407951 = V055507. assign V985514 = V366368 - 1. assign V002553 = V187577 + 1. assign V672914 = V489272 - 1. assign V357167 = V890964 + 1. assign V408289 = V334807. assign V881710 = V305829. assign V614328 = V329371. assign V573818 = V233598. assign V656586 = V934652. assign V163427 = V947231 - 1. assign V407555 = V522565 + 1. assign V331624 = V108806. assign V560251 = V407555. assign V831124 = V237526. assign V626139 = V857217. assign V402228 = V237526 + 1. assign V523722 = V483626 - 1. assign V427173 = V187577 - 1. assign V795706 = V831124. assign V187577 = V993627 - 1. assign V890964 = V523722 - 1. assign V857938 = V522565 + 1. assign V947231 = V334807 + 1. assign V763467 = V317294 - 1. assign V993627 = V177360. assign V851957 = V187577. assign V178637 = V993627 + 1. assign V055507 = V384326 + 1. assign V801969 = V187577 + 1. assign V857217 = V496899 - 1. assign V471690 = V278993 - 1. assign V157966 = V055507 + 1. assign V326212 = V763467 - 1. assign V329371 = V795706 - 1. assign V732006 = V187577. assign V108806 = V791743. assign V704041 = V055507 - 1. assign V683875 = 0. assign V684733 = V523722 + 1. assign V944879 = V573818 - 1. assign V366368 = V831124 - 1. assign V483626 = V265904 + 1. assign V582345 = V334807 + 1. assign V101761 = V366368 + 1. assign V175217 = V677986 - 1. assign V233598 = V523887 - 1. assign V196658 = V731443 + 1. assign V434300 = V483626 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV683875 = 0;\n\nFrom these direct assignment(s), we have: \nV874295 = V683875 + 1 = 0 + 1 =1;\nNo other variables can be derived from V874295;\nNo other variables can be derived from V683875;\n\nNow we have done all the calculations. Derived variables are:\nV683875 = 0;\nV874295 = 1;\n\nNow we have finished this problem. ANSWER:\nV683875\n", "role": "assistant" } ]

[ "V893536" ]

[ { "content": "<context>\nassign V037096 = V149634. assign V990572 = V371076 + 1. assign V626197 = V520628 + 1. assign V339137 = V941084 - 1. assign V065078 = V552509 - 1. assign V355202 = V774828. assign V385353 = V742752. assign V858164 = V853551 + 1. assign V363981 = V615091 + 1. assign V411378 = V862632. assign V174312 = V701553 - 1. assign V931190 = V002958 - 1. assign V435044 = V997933 + 1. assign V674972 = V341677. assign V002958 = V941084 - 1. assign V022490 = V997933 + 1. assign V594483 = V608526 - 1. assign V941966 = V022490 - 1. assign V466270 = V275950 + 1. assign V853789 = V022490 + 1. assign V531881 = V941084 + 1. assign V000966 = V034513 + 1. assign V733422 = V300942 - 1. assign V774828 = V608526 + 1. assign V693102 = V016598 - 1. assign V985437 = V941084. assign V172421 = V022490 + 1. assign V718880 = V339137 + 1. assign V535683 = V106011 - 1. assign V481748 = V371076. assign V452308 = V893536 + 1. assign V498821 = V647860 - 1. assign V893536 = 7. assign V862981 = V721506 - 1. assign V872314 = V853789 - 1. assign V265946 = V034513 - 1. assign V404557 = V774828 - 1. assign V264131 = V990572 - 1. assign V016598 = V002958 + 1. assign V647860 = V608526. assign V068830 = V985437 + 1. assign V202232 = V106011 + 1. assign V097160 = V941084 - 1. assign V862632 = V701553 + 1. assign V868191 = V385353 - 1. assign V916776 = V339137 - 1. assign V701553 = V615091 - 1. assign V340134 = V990572 - 1. assign V520628 = V552509. assign V997933 = V985437 + 1. assign V149634 = V997933 - 1. assign V027262 = V435044 - 1. assign V860370 = V862632 - 1. assign V742752 = V339137. assign V329248 = V300942 + 1. assign V106011 = V853789 - 1. assign V980150 = V002958. assign V034117 = V742752 + 1. assign V034513 = V339137 + 1. assign V608526 = V985437. assign V287293 = V659749. assign V721506 = V267649 - 1. assign V300942 = V742752 + 1. assign V614764 = V267649. assign V659749 = V718880 + 1. assign V255240 = V552509. assign V615091 = V997933 + 1. assign V020266 = V022490. assign V381920 = V985437 + 1. assign V267649 = V941084 + 1. assign V230858 = V435044 + 1. assign V853551 = V997933 - 1. assign V275950 = V742752. assign V215922 = V481748 + 1. assign V552509 = V371076 + 1. assign V702310 = V853789. assign V602948 = V853551 + 1. assign V889688 = V481748. assign V341677 = V022490. assign V032989 = V341677 + 1. assign V371076 = V985437. assign V398861 = V916776 - 1. assign V350447 = V202232. assign V415608 = V615091 - 1. assign V491309 = V481748 - 1. assign V609409 = V985437.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V037096 = V149634. assign V990572 = V371076 + 1. assign V626197 = V520628 + 1. assign V339137 = V941084 - 1. assign V065078 = V552509 - 1. assign V355202 = V774828. assign V385353 = V742752. assign V858164 = V853551 + 1. assign V363981 = V615091 + 1. assign V411378 = V862632. assign V174312 = V701553 - 1. assign V931190 = V002958 - 1. assign V435044 = V997933 + 1. assign V674972 = V341677. assign V002958 = V941084 - 1. assign V022490 = V997933 + 1. assign V594483 = V608526 - 1. assign V941966 = V022490 - 1. assign V466270 = V275950 + 1. assign V853789 = V022490 + 1. assign V531881 = V941084 + 1. assign V000966 = V034513 + 1. assign V733422 = V300942 - 1. assign V774828 = V608526 + 1. assign V693102 = V016598 - 1. assign V985437 = V941084. assign V172421 = V022490 + 1. assign V718880 = V339137 + 1. assign V535683 = V106011 - 1. assign V481748 = V371076. assign V452308 = V893536 + 1. assign V498821 = V647860 - 1. assign V893536 = 7. assign V862981 = V721506 - 1. assign V872314 = V853789 - 1. assign V265946 = V034513 - 1. assign V404557 = V774828 - 1. assign V264131 = V990572 - 1. assign V016598 = V002958 + 1. assign V647860 = V608526. assign V068830 = V985437 + 1. assign V202232 = V106011 + 1. assign V097160 = V941084 - 1. assign V862632 = V701553 + 1. assign V868191 = V385353 - 1. assign V916776 = V339137 - 1. assign V701553 = V615091 - 1. assign V340134 = V990572 - 1. assign V520628 = V552509. assign V997933 = V985437 + 1. assign V149634 = V997933 - 1. assign V027262 = V435044 - 1. assign V860370 = V862632 - 1. assign V742752 = V339137. assign V329248 = V300942 + 1. assign V106011 = V853789 - 1. assign V980150 = V002958. assign V034117 = V742752 + 1. assign V034513 = V339137 + 1. assign V608526 = V985437. assign V287293 = V659749. assign V721506 = V267649 - 1. assign V300942 = V742752 + 1. assign V614764 = V267649. assign V659749 = V718880 + 1. assign V255240 = V552509. assign V615091 = V997933 + 1. assign V020266 = V022490. assign V381920 = V985437 + 1. assign V267649 = V941084 + 1. assign V230858 = V435044 + 1. assign V853551 = V997933 - 1. assign V275950 = V742752. assign V215922 = V481748 + 1. assign V552509 = V371076 + 1. assign V702310 = V853789. assign V602948 = V853551 + 1. assign V889688 = V481748. assign V341677 = V022490. assign V032989 = V341677 + 1. assign V371076 = V985437. assign V398861 = V916776 - 1. assign V350447 = V202232. assign V415608 = V615091 - 1. assign V491309 = V481748 - 1. assign V609409 = V985437.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV893536 = 7;\n\nFrom these direct assignment(s), we have: \nV452308 = V893536 + 1 = 7 + 1 =8;\nNo other variables can be derived from V452308;\nNo other variables can be derived from V893536;\n\nNow we have done all the calculations. Derived variables are:\nV893536 = 7;\nV452308 = 8;\n\nNow we have finished this problem. ANSWER:\nV893536\n", "role": "assistant" } ]

[ "V389042", "V815194" ]

[ { "content": "<context>\nassign V035254 = V111144 + 1. assign V651280 = V797649. assign V372052 = V329490 + 1. assign V123008 = V679951 + 1. assign V387207 = V819699 + 1. assign V655191 = V678797 - 1. assign V678797 = V634892 - 1. assign V517387 = V123008 + 1. assign V037131 = V353590 - 1. assign V041102 = V648599. assign V140694 = V035254 - 1. assign V294758 = V099207. assign V677964 = V744079 + 1. assign V574871 = V714633. assign V258094 = V046590 - 1. assign V165220 = V046590. assign V630482 = V697359 + 1. assign V770859 = V099207 + 1. assign V224476 = V623226 + 1. assign V465583 = V041102. assign V302502 = V630482 + 1. assign V650002 = V099207. assign V697359 = V515423 - 1. assign V046590 = V714633. assign V528180 = V574871. assign V485143 = V046590 - 1. assign V099207 = V046590 + 1. assign V815194 = V389042. assign V329490 = V124405 + 1. assign V634892 = V224476. assign V626581 = V630482 - 1. assign V679951 = V046590 + 1. assign V130200 = V224476 - 1. assign V922956 = V416612. assign V023495 = V679951. assign V327279 = V541032 - 1. assign V181705 = V099207. assign V623226 = V744079 + 1. assign V509437 = V149183 - 1. assign V079980 = V099207 - 1. assign V121299 = V041102. assign V663616 = V679951 + 1. assign V633424 = V714633 + 1. assign V202118 = V111144 + 1. assign V416612 = V301086 + 1. assign V747962 = V677964 + 1. assign V475660 = V634892 + 1. assign V149183 = V648599 + 1. assign V979944 = V329490. assign V541032 = V744079. assign V465645 = V648199. assign V124405 = V258094. assign V301086 = V574871 + 1. assign V426807 = V345127. assign V550311 = V102077. assign V551165 = V528180 - 1. assign V111144 = V574871 + 1. assign V573489 = V541032 - 1. assign V853308 = V697359. assign V648199 = V864471 - 1. assign V353590 = V345127. assign V078920 = V489926 + 1. assign V648599 = V258094 + 1. assign V880615 = V099207 + 1. assign V227793 = V123008 + 1. assign V515423 = V677964. assign V939553 = V714633. assign V797649 = V515423 - 1. assign V819699 = V853308 + 1. assign V705686 = V623226 - 1. assign V173581 = V079980 - 1. assign V744079 = V046590. assign V427525 = V623226 - 1. assign V389042 = 8. assign V794025 = V037131. assign V489926 = V705686 + 1. assign V999309 = V922956. assign V721167 = V035254 + 1. assign V345127 = V623226 + 1. assign V929597 = V663616 - 1. assign V864471 = V634892. assign V102077 = V037131. assign V366381 = V099207 - 1. assign V536126 = V648599 + 1. assign V851023 = V046590. assign V563781 = V327279 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V035254 = V111144 + 1. assign V651280 = V797649. assign V372052 = V329490 + 1. assign V123008 = V679951 + 1. assign V387207 = V819699 + 1. assign V655191 = V678797 - 1. assign V678797 = V634892 - 1. assign V517387 = V123008 + 1. assign V037131 = V353590 - 1. assign V041102 = V648599. assign V140694 = V035254 - 1. assign V294758 = V099207. assign V677964 = V744079 + 1. assign V574871 = V714633. assign V258094 = V046590 - 1. assign V165220 = V046590. assign V630482 = V697359 + 1. assign V770859 = V099207 + 1. assign V224476 = V623226 + 1. assign V465583 = V041102. assign V302502 = V630482 + 1. assign V650002 = V099207. assign V697359 = V515423 - 1. assign V046590 = V714633. assign V528180 = V574871. assign V485143 = V046590 - 1. assign V099207 = V046590 + 1. assign V815194 = V389042. assign V329490 = V124405 + 1. assign V634892 = V224476. assign V626581 = V630482 - 1. assign V679951 = V046590 + 1. assign V130200 = V224476 - 1. assign V922956 = V416612. assign V023495 = V679951. assign V327279 = V541032 - 1. assign V181705 = V099207. assign V623226 = V744079 + 1. assign V509437 = V149183 - 1. assign V079980 = V099207 - 1. assign V121299 = V041102. assign V663616 = V679951 + 1. assign V633424 = V714633 + 1. assign V202118 = V111144 + 1. assign V416612 = V301086 + 1. assign V747962 = V677964 + 1. assign V475660 = V634892 + 1. assign V149183 = V648599 + 1. assign V979944 = V329490. assign V541032 = V744079. assign V465645 = V648199. assign V124405 = V258094. assign V301086 = V574871 + 1. assign V426807 = V345127. assign V550311 = V102077. assign V551165 = V528180 - 1. assign V111144 = V574871 + 1. assign V573489 = V541032 - 1. assign V853308 = V697359. assign V648199 = V864471 - 1. assign V353590 = V345127. assign V078920 = V489926 + 1. assign V648599 = V258094 + 1. assign V880615 = V099207 + 1. assign V227793 = V123008 + 1. assign V515423 = V677964. assign V939553 = V714633. assign V797649 = V515423 - 1. assign V819699 = V853308 + 1. assign V705686 = V623226 - 1. assign V173581 = V079980 - 1. assign V744079 = V046590. assign V427525 = V623226 - 1. assign V389042 = 8. assign V794025 = V037131. assign V489926 = V705686 + 1. assign V999309 = V922956. assign V721167 = V035254 + 1. assign V345127 = V623226 + 1. assign V929597 = V663616 - 1. assign V864471 = V634892. assign V102077 = V037131. assign V366381 = V099207 - 1. assign V536126 = V648599 + 1. assign V851023 = V046590. assign V563781 = V327279 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV389042 = 8;\n\nFrom these direct assignment(s), we have: \nV815194 = V389042 = 8;\nNo other variables can be derived from V815194;\nNo other variables can be derived from V389042;\n\nNow we have done all the calculations. Derived variables are:\nV389042 = 8;\nV815194 = 8;\n\nNow we have finished this problem. ANSWER:\nV389042, V815194\n", "role": "assistant" } ]

[ "V498392" ]

[ { "content": "<context>\nassign V718566 = V870386 - 1. assign V593943 = V717892 - 1. assign V085813 = V964905 + 1. assign V414970 = V564687 + 1. assign V803604 = V564687 - 1. assign V586023 = V975029. assign V839334 = V717892. assign V948595 = V278510 + 1. assign V275103 = V035751. assign V076664 = V527060 + 1. assign V045928 = V946795. assign V149300 = V694681 + 1. assign V326710 = V928407 + 1. assign V891083 = V964905. assign V398406 = 9. assign V892646 = V328327 + 1. assign V669622 = V076664 - 1. assign V404591 = V264817. assign V564687 = V717892 + 1. assign V237029 = V817875 + 1. assign V056130 = V844135 + 1. assign V975029 = V817875. assign V844135 = V717892 + 1. assign V035751 = V694681 - 1. assign V701143 = V412019 + 1. assign V067970 = V717892 - 1. assign V038482 = V412019 + 1. assign V367626 = V527060 + 1. assign V284502 = V052008. assign V328327 = V701143. assign V329106 = V328327. assign V676352 = V315884. assign V694681 = V839334 - 1. assign V058759 = V717892 - 1. assign V230851 = V151456 + 1. assign V360460 = V263244 - 1. assign V879361 = V367626. assign V454448 = V701143 - 1. assign V189574 = V038482. assign V660212 = V928407 + 1. assign V263244 = V880556 - 1. assign V370402 = V817875. assign V880556 = V586023 - 1. assign V530565 = V839334 - 1. assign V498392 = V398406 + 1. assign V315884 = V564687 - 1. assign V385578 = V892646. assign V697685 = V409887. assign V125750 = V328327 - 1. assign V893634 = V527060 - 1. assign V340434 = V964905. assign V688917 = V125750. assign V964905 = V817875. assign V155544 = V660212 - 1. assign V113046 = V409887 - 1. assign V125034 = V038482 - 1. assign V655475 = V870386. assign V928407 = V586023 + 1. assign V058657 = V995689 - 1. assign V151456 = V076664. assign V191648 = V676352 - 1. assign V711812 = V449613 - 1. assign V976029 = V688917. assign V345712 = V880556. assign V527060 = V564687. assign V961709 = V412019 + 1. assign V817875 = V717892 - 1. assign V813170 = V926829 + 1. assign V264817 = V817875. assign V562019 = V237029 + 1. assign V409887 = V264817. assign V597196 = V038482 + 1. assign V109217 = V067970 + 1. assign V691665 = V237029 - 1. assign V449613 = V655475 - 1. assign V995689 = V975029. assign V272686 = V961709. assign V717892 = V412019 + 1. assign V946795 = V328327 - 1. assign V870386 = V961709 + 1. assign V989428 = V844135 + 1. assign V278510 = V870386 - 1. assign V926829 = V691665 + 1. assign V033739 = V367626 - 1. assign V085652 = V284502 - 1. assign V052008 = V870386 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V718566 = V870386 - 1. assign V593943 = V717892 - 1. assign V085813 = V964905 + 1. assign V414970 = V564687 + 1. assign V803604 = V564687 - 1. assign V586023 = V975029. assign V839334 = V717892. assign V948595 = V278510 + 1. assign V275103 = V035751. assign V076664 = V527060 + 1. assign V045928 = V946795. assign V149300 = V694681 + 1. assign V326710 = V928407 + 1. assign V891083 = V964905. assign V398406 = 9. assign V892646 = V328327 + 1. assign V669622 = V076664 - 1. assign V404591 = V264817. assign V564687 = V717892 + 1. assign V237029 = V817875 + 1. assign V056130 = V844135 + 1. assign V975029 = V817875. assign V844135 = V717892 + 1. assign V035751 = V694681 - 1. assign V701143 = V412019 + 1. assign V067970 = V717892 - 1. assign V038482 = V412019 + 1. assign V367626 = V527060 + 1. assign V284502 = V052008. assign V328327 = V701143. assign V329106 = V328327. assign V676352 = V315884. assign V694681 = V839334 - 1. assign V058759 = V717892 - 1. assign V230851 = V151456 + 1. assign V360460 = V263244 - 1. assign V879361 = V367626. assign V454448 = V701143 - 1. assign V189574 = V038482. assign V660212 = V928407 + 1. assign V263244 = V880556 - 1. assign V370402 = V817875. assign V880556 = V586023 - 1. assign V530565 = V839334 - 1. assign V498392 = V398406 + 1. assign V315884 = V564687 - 1. assign V385578 = V892646. assign V697685 = V409887. assign V125750 = V328327 - 1. assign V893634 = V527060 - 1. assign V340434 = V964905. assign V688917 = V125750. assign V964905 = V817875. assign V155544 = V660212 - 1. assign V113046 = V409887 - 1. assign V125034 = V038482 - 1. assign V655475 = V870386. assign V928407 = V586023 + 1. assign V058657 = V995689 - 1. assign V151456 = V076664. assign V191648 = V676352 - 1. assign V711812 = V449613 - 1. assign V976029 = V688917. assign V345712 = V880556. assign V527060 = V564687. assign V961709 = V412019 + 1. assign V817875 = V717892 - 1. assign V813170 = V926829 + 1. assign V264817 = V817875. assign V562019 = V237029 + 1. assign V409887 = V264817. assign V597196 = V038482 + 1. assign V109217 = V067970 + 1. assign V691665 = V237029 - 1. assign V449613 = V655475 - 1. assign V995689 = V975029. assign V272686 = V961709. assign V717892 = V412019 + 1. assign V946795 = V328327 - 1. assign V870386 = V961709 + 1. assign V989428 = V844135 + 1. assign V278510 = V870386 - 1. assign V926829 = V691665 + 1. assign V033739 = V367626 - 1. assign V085652 = V284502 - 1. assign V052008 = V870386 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV398406 = 9;\n\nFrom these direct assignment(s), we have: \nV498392 = V398406 + 1 = 9 + 1 =10;\nNo other variables can be derived from V498392;\nNo other variables can be derived from V398406;\n\nNow we have done all the calculations. Derived variables are:\nV398406 = 9;\nV498392 = 10;\n\nNow we have finished this problem. ANSWER:\nV498392\n", "role": "assistant" } ]

[ "V501060" ]

[ { "content": "<context>\nassign V027130 = V753073 + 1. assign V119797 = 2. assign V882443 = V918516. assign V780065 = V932102. assign V341603 = V078921 + 1. assign V186142 = V774642 - 1. assign V888736 = V472892. assign V634633 = V989923. assign V043023 = V765400. assign V662542 = V989923. assign V670936 = V919041. assign V279714 = V472892 - 1. assign V007368 = V140463 + 1. assign V151111 = V670936 + 1. assign V234288 = V853562 - 1. assign V822461 = V918516. assign V845928 = V219460. assign V226267 = V613405 + 1. assign V462103 = V600875 - 1. assign V581130 = V037108 - 1. assign V925720 = V696910 + 1. assign V202250 = V852648 - 1. assign V773277 = V278004 + 1. assign V374158 = V540203. assign V989470 = V670936 + 1. assign V989923 = V882443 - 1. assign V442827 = V446671. assign V619533 = V226267 + 1. assign V489331 = V844881 + 1. assign V601835 = V442827. assign V037108 = V446671 + 1. assign V817253 = V774642 + 1. assign V653310 = V670936 + 1. assign V640508 = V989470 + 1. assign V540203 = V601835. assign V911109 = V007368 + 1. assign V501060 = V119797 - 1. assign V999849 = V278004 - 1. assign V038141 = V446671 + 1. assign V852648 = V140463. assign V184988 = V552098. assign V667846 = V078921 - 1. assign V613405 = V278004 + 1. assign V941950 = V472892 + 1. assign V665366 = V753073. assign V756829 = V226267 - 1. assign V115614 = V140463 - 1. assign V918516 = V446671 + 1. assign V219460 = V278004. assign V958116 = V653310 + 1. assign V696363 = V989470 + 1. assign V844881 = V374158 + 1. assign V907723 = V765400 + 1. assign V535947 = V601835 - 1. assign V559156 = V212433 + 1. assign V366455 = V581130 + 1. assign V399256 = V634633 + 1. assign V830155 = V601835 + 1. assign V600875 = V078921 + 1. assign V547980 = V565381. assign V241205 = V696910 - 1. assign V722002 = V279714 + 1. assign V270979 = V278004. assign V774642 = V037108 - 1. assign V552544 = V446671 - 1. assign V278004 = V472892 + 1. assign V696910 = V601835 + 1. assign V753073 = V111104 - 1. assign V475192 = V918516. assign V140463 = V278004 + 1. assign V919041 = V037108 + 1. assign V552098 = V958116 - 1. assign V407721 = V219460 + 1. assign V661431 = V932102 - 1. assign V212433 = V989470. assign V111104 = V037108 - 1. assign V241671 = V078921 + 1. assign V472892 = V446671 - 1. assign V078921 = V446671. assign V765400 = V999849. assign V565381 = V918516 - 1. assign V904977 = V341603. assign V932102 = V753073. assign V853562 = V696910 + 1. assign V090875 = V043023 + 1. assign V549558 = V722002 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V027130 = V753073 + 1. assign V119797 = 2. assign V882443 = V918516. assign V780065 = V932102. assign V341603 = V078921 + 1. assign V186142 = V774642 - 1. assign V888736 = V472892. assign V634633 = V989923. assign V043023 = V765400. assign V662542 = V989923. assign V670936 = V919041. assign V279714 = V472892 - 1. assign V007368 = V140463 + 1. assign V151111 = V670936 + 1. assign V234288 = V853562 - 1. assign V822461 = V918516. assign V845928 = V219460. assign V226267 = V613405 + 1. assign V462103 = V600875 - 1. assign V581130 = V037108 - 1. assign V925720 = V696910 + 1. assign V202250 = V852648 - 1. assign V773277 = V278004 + 1. assign V374158 = V540203. assign V989470 = V670936 + 1. assign V989923 = V882443 - 1. assign V442827 = V446671. assign V619533 = V226267 + 1. assign V489331 = V844881 + 1. assign V601835 = V442827. assign V037108 = V446671 + 1. assign V817253 = V774642 + 1. assign V653310 = V670936 + 1. assign V640508 = V989470 + 1. assign V540203 = V601835. assign V911109 = V007368 + 1. assign V501060 = V119797 - 1. assign V999849 = V278004 - 1. assign V038141 = V446671 + 1. assign V852648 = V140463. assign V184988 = V552098. assign V667846 = V078921 - 1. assign V613405 = V278004 + 1. assign V941950 = V472892 + 1. assign V665366 = V753073. assign V756829 = V226267 - 1. assign V115614 = V140463 - 1. assign V918516 = V446671 + 1. assign V219460 = V278004. assign V958116 = V653310 + 1. assign V696363 = V989470 + 1. assign V844881 = V374158 + 1. assign V907723 = V765400 + 1. assign V535947 = V601835 - 1. assign V559156 = V212433 + 1. assign V366455 = V581130 + 1. assign V399256 = V634633 + 1. assign V830155 = V601835 + 1. assign V600875 = V078921 + 1. assign V547980 = V565381. assign V241205 = V696910 - 1. assign V722002 = V279714 + 1. assign V270979 = V278004. assign V774642 = V037108 - 1. assign V552544 = V446671 - 1. assign V278004 = V472892 + 1. assign V696910 = V601835 + 1. assign V753073 = V111104 - 1. assign V475192 = V918516. assign V140463 = V278004 + 1. assign V919041 = V037108 + 1. assign V552098 = V958116 - 1. assign V407721 = V219460 + 1. assign V661431 = V932102 - 1. assign V212433 = V989470. assign V111104 = V037108 - 1. assign V241671 = V078921 + 1. assign V472892 = V446671 - 1. assign V078921 = V446671. assign V765400 = V999849. assign V565381 = V918516 - 1. assign V904977 = V341603. assign V932102 = V753073. assign V853562 = V696910 + 1. assign V090875 = V043023 + 1. assign V549558 = V722002 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV119797 = 2;\n\nFrom these direct assignment(s), we have: \nV501060 = V119797 - 1 = 2 - 1 =1;\nNo other variables can be derived from V501060;\nNo other variables can be derived from V119797;\n\nNow we have done all the calculations. Derived variables are:\nV119797 = 2;\nV501060 = 1;\n\nNow we have finished this problem. ANSWER:\nV501060\n", "role": "assistant" } ]

[ "V514970" ]

[ { "content": "<context>\nassign V168481 = V964285 + 1. assign V616955 = V062486. assign V353559 = V451744 - 1. assign V120587 = V519564. assign V677303 = V995383. assign V419075 = V042643 + 1. assign V496851 = V544111. assign V354914 = V496851. assign V079315 = V062486 + 1. assign V995383 = V844245 - 1. assign V514970 = V649001 - 1. assign V967419 = V288031 - 1. assign V067798 = V598300. assign V835992 = V605097 - 1. assign V236494 = V542198. assign V451744 = V566631 - 1. assign V334317 = V732250. assign V566631 = V844245 + 1. assign V011955 = V519843 - 1. assign V605097 = V964285 + 1. assign V544111 = V519843. assign V971699 = V486193 - 1. assign V519564 = V839059. assign V486193 = V542198 - 1. assign V042643 = V999483 + 1. assign V222094 = V307901 + 1. assign V559891 = V839059 - 1. assign V587132 = V732250 - 1. assign V839059 = V732250 - 1. assign V062486 = V849270. assign V499043 = V243812 + 1. assign V714599 = V334317 + 1. assign V986038 = V222094. assign V618061 = V712139 + 1. assign V512901 = V120587 + 1. assign V288031 = V544111. assign V933600 = V544111 + 1. assign V547264 = V850688 + 1. assign V540760 = V222146 + 1. assign V670444 = V307901 + 1. assign V489354 = V566631. assign V712139 = V222146. assign V598300 = V999483 - 1. assign V789038 = V544111 + 1. assign V727438 = V519564. assign V717409 = V222094. assign V222146 = V598300 + 1. assign V770289 = V222094 + 1. assign V940769 = V307901 - 1. assign V893911 = V850688. assign V457665 = V670444 + 1. assign V895637 = V618061 - 1. assign V121556 = V496851. assign V844245 = V307901. assign V999483 = V544111 + 1. assign V533204 = V587132. assign V766539 = V839059 - 1. assign V746330 = V519843 + 1. assign V489426 = V770289 + 1. assign V369250 = V770289 - 1. assign V542198 = V307901. assign V766852 = V120587. assign V233050 = V732250. assign V444902 = V532034 + 1. assign V964285 = V354173 - 1. assign V744800 = V999483. assign V478344 = V999483 - 1. assign V649001 = 9. assign V849270 = V542198. assign V258339 = V544111 - 1. assign V307901 = V519843. assign V850688 = V288031 - 1. assign V871486 = V587132. assign V292898 = V419075 + 1. assign V984798 = V011955 + 1. assign V968502 = V233050 + 1. assign V941900 = V542198 + 1. assign V532034 = V587132. assign V635970 = V598300 + 1. assign V353506 = V677303 + 1. assign V845154 = V618061. assign V354173 = V598300 + 1. assign V732250 = V544111 - 1. assign V397410 = V770289 - 1. assign V243812 = V587132 + 1. assign V890824 = V845154 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V168481 = V964285 + 1. assign V616955 = V062486. assign V353559 = V451744 - 1. assign V120587 = V519564. assign V677303 = V995383. assign V419075 = V042643 + 1. assign V496851 = V544111. assign V354914 = V496851. assign V079315 = V062486 + 1. assign V995383 = V844245 - 1. assign V514970 = V649001 - 1. assign V967419 = V288031 - 1. assign V067798 = V598300. assign V835992 = V605097 - 1. assign V236494 = V542198. assign V451744 = V566631 - 1. assign V334317 = V732250. assign V566631 = V844245 + 1. assign V011955 = V519843 - 1. assign V605097 = V964285 + 1. assign V544111 = V519843. assign V971699 = V486193 - 1. assign V519564 = V839059. assign V486193 = V542198 - 1. assign V042643 = V999483 + 1. assign V222094 = V307901 + 1. assign V559891 = V839059 - 1. assign V587132 = V732250 - 1. assign V839059 = V732250 - 1. assign V062486 = V849270. assign V499043 = V243812 + 1. assign V714599 = V334317 + 1. assign V986038 = V222094. assign V618061 = V712139 + 1. assign V512901 = V120587 + 1. assign V288031 = V544111. assign V933600 = V544111 + 1. assign V547264 = V850688 + 1. assign V540760 = V222146 + 1. assign V670444 = V307901 + 1. assign V489354 = V566631. assign V712139 = V222146. assign V598300 = V999483 - 1. assign V789038 = V544111 + 1. assign V727438 = V519564. assign V717409 = V222094. assign V222146 = V598300 + 1. assign V770289 = V222094 + 1. assign V940769 = V307901 - 1. assign V893911 = V850688. assign V457665 = V670444 + 1. assign V895637 = V618061 - 1. assign V121556 = V496851. assign V844245 = V307901. assign V999483 = V544111 + 1. assign V533204 = V587132. assign V766539 = V839059 - 1. assign V746330 = V519843 + 1. assign V489426 = V770289 + 1. assign V369250 = V770289 - 1. assign V542198 = V307901. assign V766852 = V120587. assign V233050 = V732250. assign V444902 = V532034 + 1. assign V964285 = V354173 - 1. assign V744800 = V999483. assign V478344 = V999483 - 1. assign V649001 = 9. assign V849270 = V542198. assign V258339 = V544111 - 1. assign V307901 = V519843. assign V850688 = V288031 - 1. assign V871486 = V587132. assign V292898 = V419075 + 1. assign V984798 = V011955 + 1. assign V968502 = V233050 + 1. assign V941900 = V542198 + 1. assign V532034 = V587132. assign V635970 = V598300 + 1. assign V353506 = V677303 + 1. assign V845154 = V618061. assign V354173 = V598300 + 1. assign V732250 = V544111 - 1. assign V397410 = V770289 - 1. assign V243812 = V587132 + 1. assign V890824 = V845154 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV649001 = 9;\n\nFrom these direct assignment(s), we have: \nV514970 = V649001 - 1 = 9 - 1 =8;\nNo other variables can be derived from V514970;\nNo other variables can be derived from V649001;\n\nNow we have done all the calculations. Derived variables are:\nV649001 = 9;\nV514970 = 8;\n\nNow we have finished this problem. ANSWER:\nV514970\n", "role": "assistant" } ]

[ "V857325", "V065961" ]

[ { "content": "<context>\nassign V267035 = V250787. assign V720800 = V325292. assign V475537 = V671344. assign V869498 = V692235. assign V587414 = V357093 - 1. assign V223094 = V749452 + 1. assign V857325 = 7. assign V193930 = V353839 - 1. assign V654894 = V139402 + 1. assign V422400 = V068699 + 1. assign V997817 = V202543 + 1. assign V692235 = V278287. assign V796994 = V943092 - 1. assign V848742 = V943487. assign V101525 = V139402 - 1. assign V544781 = V422400 + 1. assign V586945 = V302973 - 1. assign V395164 = V329095. assign V987288 = V206892 - 1. assign V912764 = V206892 + 1. assign V134055 = V701910. assign V990145 = V278287 + 1. assign V139402 = V025118 + 1. assign V962146 = V586945 + 1. assign V894887 = V325292 + 1. assign V719841 = V278287 - 1. assign V943487 = V586945 + 1. assign V404012 = V586945 - 1. assign V812580 = V555744. assign V357093 = V749452 + 1. assign V088050 = V749452 - 1. assign V649871 = V671344 + 1. assign V370060 = V967737. assign V932679 = V395164 + 1. assign V193432 = V206892 + 1. assign V937961 = V422400 + 1. assign V103263 = V278287 + 1. assign V349827 = V068699 - 1. assign V909327 = V719841 - 1. assign V522714 = V363319. assign V137584 = V206892 - 1. assign V808979 = V025118. assign V325292 = V025118 - 1. assign V749452 = V025118 + 1. assign V958164 = V848742 - 1. assign V403138 = V869498 + 1. assign V977677 = V571918. assign V242093 = V139402. assign V502731 = V137226. assign V302973 = V325292. assign V386100 = V242093 + 1. assign V938573 = V103263 + 1. assign V955240 = V587414. assign V467472 = V808979. assign V896655 = V943487 - 1. assign V808113 = V749452. assign V701910 = V202543 + 1. assign V068699 = V325292 + 1. assign V816903 = V370060 + 1. assign V784827 = V325292 + 1. assign V363319 = V909327. assign V571918 = V808979. assign V202543 = V278287 + 1. assign V065961 = V857325. assign V967737 = V720800. assign V709089 = V139402 + 1. assign V034553 = V709089. assign V626042 = V701910 - 1. assign V128004 = V626419 + 1. assign V876077 = V962146 + 1. assign V345160 = V353839. assign V963040 = V671344. assign V264410 = V250787. assign V137226 = V278287. assign V329095 = V987288 - 1. assign V671344 = V325292. assign V353839 = V876077. assign V206892 = V896655 - 1. assign V011527 = V749452 + 1. assign V500795 = V784827. assign V555744 = V193432 + 1. assign V626419 = V963040 - 1. assign V686776 = V088050 + 1. assign V250787 = V784827. assign V943092 = V403138. assign V278287 = V025118 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V267035 = V250787. assign V720800 = V325292. assign V475537 = V671344. assign V869498 = V692235. assign V587414 = V357093 - 1. assign V223094 = V749452 + 1. assign V857325 = 7. assign V193930 = V353839 - 1. assign V654894 = V139402 + 1. assign V422400 = V068699 + 1. assign V997817 = V202543 + 1. assign V692235 = V278287. assign V796994 = V943092 - 1. assign V848742 = V943487. assign V101525 = V139402 - 1. assign V544781 = V422400 + 1. assign V586945 = V302973 - 1. assign V395164 = V329095. assign V987288 = V206892 - 1. assign V912764 = V206892 + 1. assign V134055 = V701910. assign V990145 = V278287 + 1. assign V139402 = V025118 + 1. assign V962146 = V586945 + 1. assign V894887 = V325292 + 1. assign V719841 = V278287 - 1. assign V943487 = V586945 + 1. assign V404012 = V586945 - 1. assign V812580 = V555744. assign V357093 = V749452 + 1. assign V088050 = V749452 - 1. assign V649871 = V671344 + 1. assign V370060 = V967737. assign V932679 = V395164 + 1. assign V193432 = V206892 + 1. assign V937961 = V422400 + 1. assign V103263 = V278287 + 1. assign V349827 = V068699 - 1. assign V909327 = V719841 - 1. assign V522714 = V363319. assign V137584 = V206892 - 1. assign V808979 = V025118. assign V325292 = V025118 - 1. assign V749452 = V025118 + 1. assign V958164 = V848742 - 1. assign V403138 = V869498 + 1. assign V977677 = V571918. assign V242093 = V139402. assign V502731 = V137226. assign V302973 = V325292. assign V386100 = V242093 + 1. assign V938573 = V103263 + 1. assign V955240 = V587414. assign V467472 = V808979. assign V896655 = V943487 - 1. assign V808113 = V749452. assign V701910 = V202543 + 1. assign V068699 = V325292 + 1. assign V816903 = V370060 + 1. assign V784827 = V325292 + 1. assign V363319 = V909327. assign V571918 = V808979. assign V202543 = V278287 + 1. assign V065961 = V857325. assign V967737 = V720800. assign V709089 = V139402 + 1. assign V034553 = V709089. assign V626042 = V701910 - 1. assign V128004 = V626419 + 1. assign V876077 = V962146 + 1. assign V345160 = V353839. assign V963040 = V671344. assign V264410 = V250787. assign V137226 = V278287. assign V329095 = V987288 - 1. assign V671344 = V325292. assign V353839 = V876077. assign V206892 = V896655 - 1. assign V011527 = V749452 + 1. assign V500795 = V784827. assign V555744 = V193432 + 1. assign V626419 = V963040 - 1. assign V686776 = V088050 + 1. assign V250787 = V784827. assign V943092 = V403138. assign V278287 = V025118 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV857325 = 7;\n\nFrom these direct assignment(s), we have: \nV065961 = V857325 = 7;\nNo other variables can be derived from V065961;\nNo other variables can be derived from V857325;\n\nNow we have done all the calculations. Derived variables are:\nV857325 = 7;\nV065961 = 7;\n\nNow we have finished this problem. ANSWER:\nV857325, V065961\n", "role": "assistant" } ]

[ "V685440" ]

[ { "content": "<context>\nassign V965465 = V496652 + 1. assign V605864 = V309506 - 1. assign V011573 = V821952 - 1. assign V976412 = V772385 - 1. assign V957451 = V893344 - 1. assign V021917 = V345604. assign V064423 = V620259 - 1. assign V078256 = V893344 - 1. assign V412308 = V756054 + 1. assign V391013 = V493656 - 1. assign V893344 = V309506. assign V434254 = V497545 + 1. assign V926650 = V404949. assign V496074 = V794074 - 1. assign V493656 = V497545 + 1. assign V772385 = V497545 - 1. assign V309506 = V495002. assign V421395 = V900682 + 1. assign V756054 = V821952 + 1. assign V327493 = V605864 + 1. assign V439089 = V140022 - 1. assign V570981 = V821952. assign V995599 = V006580 + 1. assign V495002 = V856373 + 1. assign V143459 = V747766. assign V393894 = V856373 + 1. assign V265741 = V049137 + 1. assign V454136 = V393894 - 1. assign V098704 = V634512. assign V385975 = V893344 - 1. assign V107824 = 0. assign V370890 = V404123 + 1. assign V629355 = V965465. assign V996809 = V078256 - 1. assign V900682 = V756054 - 1. assign V617505 = V747766. assign V497545 = V856373 - 1. assign V140022 = V634512 + 1. assign V961443 = V385975. assign V496652 = V605864 - 1. assign V367062 = V404712. assign V161636 = V605864. assign V794074 = V370890 - 1. assign V153919 = V926650 + 1. assign V345604 = V950904 - 1. assign V488320 = V747766 - 1. assign V506118 = V495002 - 1. assign V391961 = V765531 + 1. assign V985856 = V634512. assign V374338 = V143068. assign V821952 = V605864 - 1. assign V326765 = V495002. assign V634512 = V495002. assign V953671 = V381414 + 1. assign V404712 = V381414. assign V747766 = V856373 - 1. assign V222504 = V926650 + 1. assign V692914 = V893344 + 1. assign V981974 = V495002 + 1. assign V176467 = V772385. assign V620259 = V385975 + 1. assign V708664 = V496652 - 1. assign V404949 = V570981. assign V404123 = V014019 + 1. assign V381414 = V950904 - 1. assign V068276 = V153919 - 1. assign V907789 = V506118. assign V715391 = V370890 + 1. assign V186484 = V153919 + 1. assign V765531 = V315331. assign V978012 = V181502 + 1. assign V890020 = V327493 - 1. assign V014019 = V497545 - 1. assign V501772 = V345604. assign V006580 = V605864. assign V049137 = V985856. assign V181502 = V006580. assign V765930 = V153919 - 1. assign V315331 = V496652 + 1. assign V605449 = V143068 - 1. assign V143068 = V497545 + 1. assign V749169 = V976412 + 1. assign V124325 = V006580 + 1. assign V685440 = V107824 - 1. assign V950904 = V078256. assign V758993 = V605864.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V965465 = V496652 + 1. assign V605864 = V309506 - 1. assign V011573 = V821952 - 1. assign V976412 = V772385 - 1. assign V957451 = V893344 - 1. assign V021917 = V345604. assign V064423 = V620259 - 1. assign V078256 = V893344 - 1. assign V412308 = V756054 + 1. assign V391013 = V493656 - 1. assign V893344 = V309506. assign V434254 = V497545 + 1. assign V926650 = V404949. assign V496074 = V794074 - 1. assign V493656 = V497545 + 1. assign V772385 = V497545 - 1. assign V309506 = V495002. assign V421395 = V900682 + 1. assign V756054 = V821952 + 1. assign V327493 = V605864 + 1. assign V439089 = V140022 - 1. assign V570981 = V821952. assign V995599 = V006580 + 1. assign V495002 = V856373 + 1. assign V143459 = V747766. assign V393894 = V856373 + 1. assign V265741 = V049137 + 1. assign V454136 = V393894 - 1. assign V098704 = V634512. assign V385975 = V893344 - 1. assign V107824 = 0. assign V370890 = V404123 + 1. assign V629355 = V965465. assign V996809 = V078256 - 1. assign V900682 = V756054 - 1. assign V617505 = V747766. assign V497545 = V856373 - 1. assign V140022 = V634512 + 1. assign V961443 = V385975. assign V496652 = V605864 - 1. assign V367062 = V404712. assign V161636 = V605864. assign V794074 = V370890 - 1. assign V153919 = V926650 + 1. assign V345604 = V950904 - 1. assign V488320 = V747766 - 1. assign V506118 = V495002 - 1. assign V391961 = V765531 + 1. assign V985856 = V634512. assign V374338 = V143068. assign V821952 = V605864 - 1. assign V326765 = V495002. assign V634512 = V495002. assign V953671 = V381414 + 1. assign V404712 = V381414. assign V747766 = V856373 - 1. assign V222504 = V926650 + 1. assign V692914 = V893344 + 1. assign V981974 = V495002 + 1. assign V176467 = V772385. assign V620259 = V385975 + 1. assign V708664 = V496652 - 1. assign V404949 = V570981. assign V404123 = V014019 + 1. assign V381414 = V950904 - 1. assign V068276 = V153919 - 1. assign V907789 = V506118. assign V715391 = V370890 + 1. assign V186484 = V153919 + 1. assign V765531 = V315331. assign V978012 = V181502 + 1. assign V890020 = V327493 - 1. assign V014019 = V497545 - 1. assign V501772 = V345604. assign V006580 = V605864. assign V049137 = V985856. assign V181502 = V006580. assign V765930 = V153919 - 1. assign V315331 = V496652 + 1. assign V605449 = V143068 - 1. assign V143068 = V497545 + 1. assign V749169 = V976412 + 1. assign V124325 = V006580 + 1. assign V685440 = V107824 - 1. assign V950904 = V078256. assign V758993 = V605864.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV107824 = 0;\n\nFrom these direct assignment(s), we have: \nV685440 = V107824 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V685440;\nNo other variables can be derived from V107824;\n\nNow we have done all the calculations. Derived variables are:\nV107824 = 0;\nV685440 = -1;\n\nNow we have finished this problem. ANSWER:\nV685440\n", "role": "assistant" } ]

[ "V883285" ]

[ { "content": "<context>\nassign V335205 = V808917 - 1. assign V237160 = V102990 + 1. assign V883285 = 4. assign V241616 = V656676. assign V508574 = V641495 + 1. assign V905672 = V695832. assign V239713 = V220615 + 1. assign V946427 = V650690. assign V692213 = V446351. assign V615377 = V508574. assign V887703 = V615377 - 1. assign V807015 = V737549 + 1. assign V614888 = V118193 - 1. assign V695832 = V284451. assign V837443 = V763409 + 1. assign V765896 = V656676 - 1. assign V674137 = V284451 - 1. assign V382606 = V324525 + 1. assign V145443 = V646751. assign V188006 = V763409 - 1. assign V993780 = V400481 - 1. assign V537789 = V028746. assign V363644 = V250753. assign V641495 = V656676 + 1. assign V023360 = V650690 - 1. assign V426762 = V122806 - 1. assign V564052 = V656676. assign V998632 = V962403 - 1. assign V402864 = V526087. assign V783323 = V614888 + 1. assign V737549 = V993780 - 1. assign V650690 = V241616. assign V646751 = V656676. assign V010987 = V118193 - 1. assign V808917 = V146771 - 1. assign V526087 = V284451. assign V800239 = V161658. assign V400481 = V326361. assign V446351 = V695832. assign V261863 = V646751 - 1. assign V122806 = V102990 + 1. assign V593918 = V161658. assign V886984 = V324525 - 1. assign V324525 = V564052 - 1. assign V028746 = V905672. assign V118193 = V502755. assign V783289 = V426762 + 1. assign V100269 = V402864 + 1. assign V319934 = V614888 - 1. assign V273482 = V363644 - 1. assign V118295 = V324525 + 1. assign V220615 = V502755. assign V846152 = V402864 - 1. assign V962403 = V564052 - 1. assign V646223 = V326361. assign V908344 = V656676 - 1. assign V242724 = V808518. assign V568969 = V800239. assign V124004 = V326361. assign V284451 = V564052 + 1. assign V695984 = V118295 + 1. assign V808518 = V646751 - 1. assign V547209 = V656676. assign V102990 = V808518 + 1. assign V146771 = V763409 - 1. assign V312623 = V846152. assign V916381 = V615377. assign V803066 = V615377 - 1. assign V580957 = V508574 + 1. assign V344671 = V124004 - 1. assign V326361 = V695832 + 1. assign V713774 = V324525 + 1. assign V584003 = V946427 + 1. assign V714232 = V250753. assign V821543 = V357968 - 1. assign V164978 = V220615. assign V161658 = V102990. assign V250753 = V646751. assign V502755 = V564052 + 1. assign V800491 = V821543 - 1. assign V033721 = V100269 - 1. assign V763409 = V800239. assign V152644 = V905672. assign V357968 = V695832 + 1. assign V366131 = V641495. assign V656287 = V883285 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V335205 = V808917 - 1. assign V237160 = V102990 + 1. assign V883285 = 4. assign V241616 = V656676. assign V508574 = V641495 + 1. assign V905672 = V695832. assign V239713 = V220615 + 1. assign V946427 = V650690. assign V692213 = V446351. assign V615377 = V508574. assign V887703 = V615377 - 1. assign V807015 = V737549 + 1. assign V614888 = V118193 - 1. assign V695832 = V284451. assign V837443 = V763409 + 1. assign V765896 = V656676 - 1. assign V674137 = V284451 - 1. assign V382606 = V324525 + 1. assign V145443 = V646751. assign V188006 = V763409 - 1. assign V993780 = V400481 - 1. assign V537789 = V028746. assign V363644 = V250753. assign V641495 = V656676 + 1. assign V023360 = V650690 - 1. assign V426762 = V122806 - 1. assign V564052 = V656676. assign V998632 = V962403 - 1. assign V402864 = V526087. assign V783323 = V614888 + 1. assign V737549 = V993780 - 1. assign V650690 = V241616. assign V646751 = V656676. assign V010987 = V118193 - 1. assign V808917 = V146771 - 1. assign V526087 = V284451. assign V800239 = V161658. assign V400481 = V326361. assign V446351 = V695832. assign V261863 = V646751 - 1. assign V122806 = V102990 + 1. assign V593918 = V161658. assign V886984 = V324525 - 1. assign V324525 = V564052 - 1. assign V028746 = V905672. assign V118193 = V502755. assign V783289 = V426762 + 1. assign V100269 = V402864 + 1. assign V319934 = V614888 - 1. assign V273482 = V363644 - 1. assign V118295 = V324525 + 1. assign V220615 = V502755. assign V846152 = V402864 - 1. assign V962403 = V564052 - 1. assign V646223 = V326361. assign V908344 = V656676 - 1. assign V242724 = V808518. assign V568969 = V800239. assign V124004 = V326361. assign V284451 = V564052 + 1. assign V695984 = V118295 + 1. assign V808518 = V646751 - 1. assign V547209 = V656676. assign V102990 = V808518 + 1. assign V146771 = V763409 - 1. assign V312623 = V846152. assign V916381 = V615377. assign V803066 = V615377 - 1. assign V580957 = V508574 + 1. assign V344671 = V124004 - 1. assign V326361 = V695832 + 1. assign V713774 = V324525 + 1. assign V584003 = V946427 + 1. assign V714232 = V250753. assign V821543 = V357968 - 1. assign V164978 = V220615. assign V161658 = V102990. assign V250753 = V646751. assign V502755 = V564052 + 1. assign V800491 = V821543 - 1. assign V033721 = V100269 - 1. assign V763409 = V800239. assign V152644 = V905672. assign V357968 = V695832 + 1. assign V366131 = V641495. assign V656287 = V883285 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV883285 = 4;\n\nFrom these direct assignment(s), we have: \nV656287 = V883285 - 1 = 4 - 1 =3;\nNo other variables can be derived from V656287;\nNo other variables can be derived from V883285;\n\nNow we have done all the calculations. Derived variables are:\nV883285 = 4;\nV656287 = 3;\n\nNow we have finished this problem. ANSWER:\nV883285\n", "role": "assistant" } ]

[ "V198470" ]

[ { "content": "<context>\nassign V938862 = V280521. assign V814599 = V568944 + 1. assign V325885 = V263302. assign V903774 = V225999 + 1. assign V548301 = V552703 + 1. assign V608158 = V367926 + 1. assign V821934 = V796615 - 1. assign V431937 = V972609 - 1. assign V157476 = V552703 + 1. assign V027510 = V198470 - 1. assign V215088 = V945262 + 1. assign V887213 = V686042 + 1. assign V782258 = V395022 + 1. assign V590191 = V581406. assign V886610 = V515614. assign V754897 = V010704 + 1. assign V475831 = V692857 + 1. assign V623277 = V686042 - 1. assign V685853 = V515614. assign V404848 = V835644 - 1. assign V802055 = V219799 + 1. assign V225999 = V431937 - 1. assign V568944 = V225999 + 1. assign V552703 = V858468. assign V768655 = V585465 + 1. assign V801653 = V855736 + 1. assign V073107 = V744406 + 1. assign V268476 = V319067 - 1. assign V768430 = V259254. assign V319067 = V010704 + 1. assign V873344 = V972609 - 1. assign V079306 = V886610. assign V395022 = V515614. assign V278769 = V515614 + 1. assign V835644 = V782258. assign V061938 = V685853. assign V259254 = V431937 - 1. assign V187627 = V552703 - 1. assign V325495 = V858468 + 1. assign V280521 = V197068 - 1. assign V698775 = V187627. assign V442698 = V821934 - 1. assign V263302 = V568944 + 1. assign V050184 = V858468 + 1. assign V705878 = V552703. assign V686042 = V796615 - 1. assign V616944 = V325885 - 1. assign V602964 = V263302 - 1. assign V515614 = V796615 + 1. assign V148927 = V685853 + 1. assign V197068 = V259254 + 1. assign V534566 = V259254 + 1. assign V744406 = V886610 - 1. assign V038618 = V319067 - 1. assign V079080 = V431937 + 1. assign V945262 = V263302 + 1. assign V932462 = V835644 + 1. assign V589512 = V325885 + 1. assign V198470 = 4. assign V767504 = V404982. assign V714346 = V585040 - 1. assign V796615 = V972609. assign V625687 = V263302 - 1. assign V596472 = V010704. assign V565550 = V596472 + 1. assign V785736 = V855736. assign V275094 = V886610 + 1. assign V692857 = V585465 - 1. assign V581406 = V319067. assign V176250 = V886610 - 1. assign V010704 = V225999 - 1. assign V855736 = V686042 - 1. assign V585040 = V886610 - 1. assign V367926 = V589512 - 1. assign V219799 = V903774 + 1. assign V386272 = V404982 - 1. assign V659123 = V532798. assign V858468 = V903774 + 1. assign V955669 = V754897 + 1. assign V404982 = V685853 + 1. assign V585465 = V903774. assign V435656 = V225999 + 1. assign V625695 = V404982 + 1. assign V656619 = V858468 - 1. assign V057757 = V176250 - 1. assign V532798 = V552703.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V938862 = V280521. assign V814599 = V568944 + 1. assign V325885 = V263302. assign V903774 = V225999 + 1. assign V548301 = V552703 + 1. assign V608158 = V367926 + 1. assign V821934 = V796615 - 1. assign V431937 = V972609 - 1. assign V157476 = V552703 + 1. assign V027510 = V198470 - 1. assign V215088 = V945262 + 1. assign V887213 = V686042 + 1. assign V782258 = V395022 + 1. assign V590191 = V581406. assign V886610 = V515614. assign V754897 = V010704 + 1. assign V475831 = V692857 + 1. assign V623277 = V686042 - 1. assign V685853 = V515614. assign V404848 = V835644 - 1. assign V802055 = V219799 + 1. assign V225999 = V431937 - 1. assign V568944 = V225999 + 1. assign V552703 = V858468. assign V768655 = V585465 + 1. assign V801653 = V855736 + 1. assign V073107 = V744406 + 1. assign V268476 = V319067 - 1. assign V768430 = V259254. assign V319067 = V010704 + 1. assign V873344 = V972609 - 1. assign V079306 = V886610. assign V395022 = V515614. assign V278769 = V515614 + 1. assign V835644 = V782258. assign V061938 = V685853. assign V259254 = V431937 - 1. assign V187627 = V552703 - 1. assign V325495 = V858468 + 1. assign V280521 = V197068 - 1. assign V698775 = V187627. assign V442698 = V821934 - 1. assign V263302 = V568944 + 1. assign V050184 = V858468 + 1. assign V705878 = V552703. assign V686042 = V796615 - 1. assign V616944 = V325885 - 1. assign V602964 = V263302 - 1. assign V515614 = V796615 + 1. assign V148927 = V685853 + 1. assign V197068 = V259254 + 1. assign V534566 = V259254 + 1. assign V744406 = V886610 - 1. assign V038618 = V319067 - 1. assign V079080 = V431937 + 1. assign V945262 = V263302 + 1. assign V932462 = V835644 + 1. assign V589512 = V325885 + 1. assign V198470 = 4. assign V767504 = V404982. assign V714346 = V585040 - 1. assign V796615 = V972609. assign V625687 = V263302 - 1. assign V596472 = V010704. assign V565550 = V596472 + 1. assign V785736 = V855736. assign V275094 = V886610 + 1. assign V692857 = V585465 - 1. assign V581406 = V319067. assign V176250 = V886610 - 1. assign V010704 = V225999 - 1. assign V855736 = V686042 - 1. assign V585040 = V886610 - 1. assign V367926 = V589512 - 1. assign V219799 = V903774 + 1. assign V386272 = V404982 - 1. assign V659123 = V532798. assign V858468 = V903774 + 1. assign V955669 = V754897 + 1. assign V404982 = V685853 + 1. assign V585465 = V903774. assign V435656 = V225999 + 1. assign V625695 = V404982 + 1. assign V656619 = V858468 - 1. assign V057757 = V176250 - 1. assign V532798 = V552703.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV198470 = 4;\n\nFrom these direct assignment(s), we have: \nV027510 = V198470 - 1 = 4 - 1 =3;\nNo other variables can be derived from V027510;\nNo other variables can be derived from V198470;\n\nNow we have done all the calculations. Derived variables are:\nV198470 = 4;\nV027510 = 3;\n\nNow we have finished this problem. ANSWER:\nV198470\n", "role": "assistant" } ]

[ "V265558" ]

[ { "content": "<context>\nassign V682024 = V202260 - 1. assign V089737 = V421652 + 1. assign V281229 = V335012 + 1. assign V173366 = V861347 - 1. assign V428824 = V442787 + 1. assign V150657 = V089737. assign V267987 = V093334 + 1. assign V021206 = V845682 + 1. assign V175257 = V794540 + 1. assign V745767 = V987167 - 1. assign V787757 = V439415 - 1. assign V540394 = V794540 + 1. assign V855887 = V606942. assign V202260 = V845682 + 1. assign V491837 = V467534 + 1. assign V387742 = V358479 + 1. assign V323562 = V972729. assign V367971 = V265558 - 1. assign V732771 = V175257. assign V422923 = V987167 + 1. assign V153059 = V089737 - 1. assign V618464 = V140405 - 1. assign V084489 = V482909 - 1. assign V930285 = V261871 - 1. assign V972729 = V140405. assign V535538 = V133729. assign V197655 = V017556 + 1. assign V960275 = V787757 + 1. assign V794540 = V439415. assign V316975 = V140405 - 1. assign V018090 = V017556 + 1. assign V266929 = V494762 - 1. assign V212783 = V066008 - 1. assign V272015 = V017556. assign V421652 = V467534 - 1. assign V208733 = V286082 - 1. assign V709655 = V920599 - 1. assign V587412 = V928132 + 1. assign V444636 = V861347 + 1. assign V635046 = V419550 - 1. assign V505770 = V272015 + 1. assign V079087 = V540394. assign V583392 = V116828 - 1. assign V482909 = V845682 + 1. assign V265558 = 3. assign V419550 = V467534 + 1. assign V928132 = V153059 + 1. assign V366290 = V358479 + 1. assign V920599 = V606942. assign V501539 = V316975 + 1. assign V204238 = V421652 - 1. assign V133729 = V514448. assign V124138 = V140405. assign V814260 = V124138 + 1. assign V358479 = V787757 - 1. assign V335012 = V266929. assign V641953 = V444636 - 1. assign V369951 = V272015. assign V478953 = V814260. assign V804921 = V197655 - 1. assign V116828 = V290618 - 1. assign V667921 = V124138 + 1. assign V809954 = V501539 + 1. assign V508224 = V523736 + 1. assign V066008 = V017556 + 1. assign V987167 = V667921 - 1. assign V494762 = V066008 + 1. assign V378699 = V066008. assign V439415 = V017556 - 1. assign V606942 = V290618. assign V832026 = V928132. assign V514448 = V369951 + 1. assign V467534 = V017556. assign V286082 = V124138 + 1. assign V523736 = V920599 + 1. assign V044165 = V523736. assign V093334 = V208913 + 1. assign V845682 = V787757 + 1. assign V861347 = V928132 + 1. assign V290618 = V514448 - 1. assign V261871 = V478953. assign V343379 = V369951 - 1. assign V208913 = V378699 - 1. assign V442787 = V124138 - 1. assign V267432 = V861347 - 1. assign V140405 = V369951.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V682024 = V202260 - 1. assign V089737 = V421652 + 1. assign V281229 = V335012 + 1. assign V173366 = V861347 - 1. assign V428824 = V442787 + 1. assign V150657 = V089737. assign V267987 = V093334 + 1. assign V021206 = V845682 + 1. assign V175257 = V794540 + 1. assign V745767 = V987167 - 1. assign V787757 = V439415 - 1. assign V540394 = V794540 + 1. assign V855887 = V606942. assign V202260 = V845682 + 1. assign V491837 = V467534 + 1. assign V387742 = V358479 + 1. assign V323562 = V972729. assign V367971 = V265558 - 1. assign V732771 = V175257. assign V422923 = V987167 + 1. assign V153059 = V089737 - 1. assign V618464 = V140405 - 1. assign V084489 = V482909 - 1. assign V930285 = V261871 - 1. assign V972729 = V140405. assign V535538 = V133729. assign V197655 = V017556 + 1. assign V960275 = V787757 + 1. assign V794540 = V439415. assign V316975 = V140405 - 1. assign V018090 = V017556 + 1. assign V266929 = V494762 - 1. assign V212783 = V066008 - 1. assign V272015 = V017556. assign V421652 = V467534 - 1. assign V208733 = V286082 - 1. assign V709655 = V920599 - 1. assign V587412 = V928132 + 1. assign V444636 = V861347 + 1. assign V635046 = V419550 - 1. assign V505770 = V272015 + 1. assign V079087 = V540394. assign V583392 = V116828 - 1. assign V482909 = V845682 + 1. assign V265558 = 3. assign V419550 = V467534 + 1. assign V928132 = V153059 + 1. assign V366290 = V358479 + 1. assign V920599 = V606942. assign V501539 = V316975 + 1. assign V204238 = V421652 - 1. assign V133729 = V514448. assign V124138 = V140405. assign V814260 = V124138 + 1. assign V358479 = V787757 - 1. assign V335012 = V266929. assign V641953 = V444636 - 1. assign V369951 = V272015. assign V478953 = V814260. assign V804921 = V197655 - 1. assign V116828 = V290618 - 1. assign V667921 = V124138 + 1. assign V809954 = V501539 + 1. assign V508224 = V523736 + 1. assign V066008 = V017556 + 1. assign V987167 = V667921 - 1. assign V494762 = V066008 + 1. assign V378699 = V066008. assign V439415 = V017556 - 1. assign V606942 = V290618. assign V832026 = V928132. assign V514448 = V369951 + 1. assign V467534 = V017556. assign V286082 = V124138 + 1. assign V523736 = V920599 + 1. assign V044165 = V523736. assign V093334 = V208913 + 1. assign V845682 = V787757 + 1. assign V861347 = V928132 + 1. assign V290618 = V514448 - 1. assign V261871 = V478953. assign V343379 = V369951 - 1. assign V208913 = V378699 - 1. assign V442787 = V124138 - 1. assign V267432 = V861347 - 1. assign V140405 = V369951.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV265558 = 3;\n\nFrom these direct assignment(s), we have: \nV367971 = V265558 - 1 = 3 - 1 =2;\nNo other variables can be derived from V367971;\nNo other variables can be derived from V265558;\n\nNow we have done all the calculations. Derived variables are:\nV265558 = 3;\nV367971 = 2;\n\nNow we have finished this problem. ANSWER:\nV265558\n", "role": "assistant" } ]

[ "V728165" ]

[ { "content": "<context>\nassign V233918 = V571123 + 1. assign V248545 = V982364. assign V098110 = V932763. assign V967819 = V898356 + 1. assign V949494 = V673654 - 1. assign V125526 = V728165 - 1. assign V165992 = V318938 - 1. assign V565528 = V865936 - 1. assign V884684 = V535085 + 1. assign V748889 = V338570. assign V825051 = V171967 + 1. assign V932763 = V791634 - 1. assign V269194 = V686681 + 1. assign V271131 = V561303 + 1. assign V688440 = V673654. assign V218954 = V140422. assign V041274 = V865936 + 1. assign V842372 = V938449 - 1. assign V270585 = V699020 + 1. assign V587417 = V561303 + 1. assign V106644 = V551436 - 1. assign V010926 = V270585 - 1. assign V912985 = V728648. assign V561303 = V842372. assign V554941 = V561303 - 1. assign V960062 = V587417 + 1. assign V553975 = V140422 + 1. assign V481802 = V938449 - 1. assign V479498 = V270585 - 1. assign V207477 = V699020 - 1. assign V571123 = V865936 + 1. assign V728648 = V561303 - 1. assign V791634 = V688440 + 1. assign V071713 = V270585. assign V839779 = V269194 - 1. assign V038184 = V010926. assign V071500 = V140422 + 1. assign V066380 = V884684 + 1. assign V265324 = V140422. assign V535085 = V938449. assign V822931 = V038184 + 1. assign V276278 = V038184. assign V338570 = V535085 - 1. assign V478024 = V553224 - 1. assign V373815 = V486506. assign V700810 = V486506 + 1. assign V440609 = V277999. assign V257515 = V440609. assign V149675 = V750398 - 1. assign V982364 = V791634 - 1. assign V140422 = V938449 - 1. assign V551436 = V544697 + 1. assign V699020 = V544697 + 1. assign V260882 = V330398. assign V852626 = V960062 - 1. assign V741909 = V861816. assign V171967 = V673654. assign V953950 = V276278 + 1. assign V357583 = V901883 - 1. assign V921662 = V140422 + 1. assign V454462 = V699020. assign V865936 = V938449. assign V697683 = V270585 + 1. assign V441373 = V842372 + 1. assign V728165 = 8. assign V898356 = V938449 - 1. assign V358148 = V535085 + 1. assign V606244 = V338570 + 1. assign V002226 = V688440. assign V486506 = V688440 - 1. assign V861816 = V071713 + 1. assign V606985 = V921662 - 1. assign V277999 = V606985 - 1. assign V068360 = V587417 + 1. assign V673654 = V842372 - 1. assign V330398 = V002226. assign V553224 = V270585 + 1. assign V901883 = V544697 - 1. assign V750398 = V700810 + 1. assign V544697 = V938449 - 1. assign V318938 = V373815 - 1. assign V528566 = V010926. assign V162499 = V330398 + 1. assign V512557 = V265324. assign V686681 = V938449. assign V720976 = V257515 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V233918 = V571123 + 1. assign V248545 = V982364. assign V098110 = V932763. assign V967819 = V898356 + 1. assign V949494 = V673654 - 1. assign V125526 = V728165 - 1. assign V165992 = V318938 - 1. assign V565528 = V865936 - 1. assign V884684 = V535085 + 1. assign V748889 = V338570. assign V825051 = V171967 + 1. assign V932763 = V791634 - 1. assign V269194 = V686681 + 1. assign V271131 = V561303 + 1. assign V688440 = V673654. assign V218954 = V140422. assign V041274 = V865936 + 1. assign V842372 = V938449 - 1. assign V270585 = V699020 + 1. assign V587417 = V561303 + 1. assign V106644 = V551436 - 1. assign V010926 = V270585 - 1. assign V912985 = V728648. assign V561303 = V842372. assign V554941 = V561303 - 1. assign V960062 = V587417 + 1. assign V553975 = V140422 + 1. assign V481802 = V938449 - 1. assign V479498 = V270585 - 1. assign V207477 = V699020 - 1. assign V571123 = V865936 + 1. assign V728648 = V561303 - 1. assign V791634 = V688440 + 1. assign V071713 = V270585. assign V839779 = V269194 - 1. assign V038184 = V010926. assign V071500 = V140422 + 1. assign V066380 = V884684 + 1. assign V265324 = V140422. assign V535085 = V938449. assign V822931 = V038184 + 1. assign V276278 = V038184. assign V338570 = V535085 - 1. assign V478024 = V553224 - 1. assign V373815 = V486506. assign V700810 = V486506 + 1. assign V440609 = V277999. assign V257515 = V440609. assign V149675 = V750398 - 1. assign V982364 = V791634 - 1. assign V140422 = V938449 - 1. assign V551436 = V544697 + 1. assign V699020 = V544697 + 1. assign V260882 = V330398. assign V852626 = V960062 - 1. assign V741909 = V861816. assign V171967 = V673654. assign V953950 = V276278 + 1. assign V357583 = V901883 - 1. assign V921662 = V140422 + 1. assign V454462 = V699020. assign V865936 = V938449. assign V697683 = V270585 + 1. assign V441373 = V842372 + 1. assign V728165 = 8. assign V898356 = V938449 - 1. assign V358148 = V535085 + 1. assign V606244 = V338570 + 1. assign V002226 = V688440. assign V486506 = V688440 - 1. assign V861816 = V071713 + 1. assign V606985 = V921662 - 1. assign V277999 = V606985 - 1. assign V068360 = V587417 + 1. assign V673654 = V842372 - 1. assign V330398 = V002226. assign V553224 = V270585 + 1. assign V901883 = V544697 - 1. assign V750398 = V700810 + 1. assign V544697 = V938449 - 1. assign V318938 = V373815 - 1. assign V528566 = V010926. assign V162499 = V330398 + 1. assign V512557 = V265324. assign V686681 = V938449. assign V720976 = V257515 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV728165 = 8;\n\nFrom these direct assignment(s), we have: \nV125526 = V728165 - 1 = 8 - 1 =7;\nNo other variables can be derived from V125526;\nNo other variables can be derived from V728165;\n\nNow we have done all the calculations. Derived variables are:\nV728165 = 8;\nV125526 = 7;\n\nNow we have finished this problem. ANSWER:\nV728165\n", "role": "assistant" } ]

[ "V675699" ]

[ { "content": "<context>\nassign V457910 = V006915. assign V053124 = V294753 - 1. assign V245433 = V211594 - 1. assign V591003 = V675699 + 1. assign V006915 = V973679 + 1. assign V126128 = V006915 - 1. assign V940032 = V457910. assign V973679 = V294753 + 1. assign V170831 = V757171 - 1. assign V421282 = V245433 + 1. assign V517669 = V592990. assign V195587 = V053124 - 1. assign V551318 = V413017. assign V294753 = V422286 + 1. assign V688281 = V048478 - 1. assign V665677 = V789766 - 1. assign V194625 = V129049 + 1. assign V282359 = V016605. assign V205738 = V129049. assign V443952 = V946360 - 1. assign V607652 = V053124 - 1. assign V239286 = V755836 + 1. assign V464654 = V194625 + 1. assign V943667 = V129049 - 1. assign V900512 = V413017 + 1. assign V867317 = V266647. assign V704511 = V943667 + 1. assign V305199 = V129049. assign V432219 = V782364 - 1. assign V500254 = V239286 + 1. assign V780373 = V973679. assign V218036 = V053124. assign V588064 = V757171 + 1. assign V947559 = V427667 + 1. assign V072019 = V413017 - 1. assign V790805 = V218036 + 1. assign V512733 = V688281 + 1. assign V271869 = V109208 + 1. assign V629778 = V239286. assign V344978 = V943667 - 1. assign V393162 = V016605. assign V266647 = V048478. assign V178255 = V305199 - 1. assign V877754 = V006915 + 1. assign V427667 = V529494 - 1. assign V521060 = V607652 - 1. assign V592990 = V048478 - 1. assign V782364 = V294753 - 1. assign V757171 = V529494. assign V529494 = V973679 + 1. assign V946360 = V413017 - 1. assign V526075 = V547734 - 1. assign V646650 = V688281 - 1. assign V156202 = V429630. assign V889100 = V305199 + 1. assign V451251 = V688281 - 1. assign V016531 = V205738 + 1. assign V414888 = V877754 + 1. assign V109208 = V211594 - 1. assign V978077 = V500254 + 1. assign V205417 = V282359 - 1. assign V129049 = V048478 + 1. assign V262158 = V294753. assign V603801 = V129049 + 1. assign V635649 = V900512 + 1. assign V319524 = V726653 + 1. assign V016605 = V782364 - 1. assign V659564 = V211594. assign V211594 = V422286. assign V726653 = V053124 + 1. assign V413017 = V211594 + 1. assign V541868 = V659564. assign V715301 = V422286 - 1. assign V690046 = V393162 - 1. assign V271800 = V129049 + 1. assign V429630 = V422286. assign V547734 = V789766 - 1. assign V550060 = V194625 + 1. assign V770224 = V782364 + 1. assign V922668 = V344978 + 1. assign V675699 = 10. assign V755836 = V422286 + 1. assign V191298 = V427667 - 1. assign V789766 = V529494 - 1. assign V309225 = V529494 - 1. assign V048478 = V294753 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V457910 = V006915. assign V053124 = V294753 - 1. assign V245433 = V211594 - 1. assign V591003 = V675699 + 1. assign V006915 = V973679 + 1. assign V126128 = V006915 - 1. assign V940032 = V457910. assign V973679 = V294753 + 1. assign V170831 = V757171 - 1. assign V421282 = V245433 + 1. assign V517669 = V592990. assign V195587 = V053124 - 1. assign V551318 = V413017. assign V294753 = V422286 + 1. assign V688281 = V048478 - 1. assign V665677 = V789766 - 1. assign V194625 = V129049 + 1. assign V282359 = V016605. assign V205738 = V129049. assign V443952 = V946360 - 1. assign V607652 = V053124 - 1. assign V239286 = V755836 + 1. assign V464654 = V194625 + 1. assign V943667 = V129049 - 1. assign V900512 = V413017 + 1. assign V867317 = V266647. assign V704511 = V943667 + 1. assign V305199 = V129049. assign V432219 = V782364 - 1. assign V500254 = V239286 + 1. assign V780373 = V973679. assign V218036 = V053124. assign V588064 = V757171 + 1. assign V947559 = V427667 + 1. assign V072019 = V413017 - 1. assign V790805 = V218036 + 1. assign V512733 = V688281 + 1. assign V271869 = V109208 + 1. assign V629778 = V239286. assign V344978 = V943667 - 1. assign V393162 = V016605. assign V266647 = V048478. assign V178255 = V305199 - 1. assign V877754 = V006915 + 1. assign V427667 = V529494 - 1. assign V521060 = V607652 - 1. assign V592990 = V048478 - 1. assign V782364 = V294753 - 1. assign V757171 = V529494. assign V529494 = V973679 + 1. assign V946360 = V413017 - 1. assign V526075 = V547734 - 1. assign V646650 = V688281 - 1. assign V156202 = V429630. assign V889100 = V305199 + 1. assign V451251 = V688281 - 1. assign V016531 = V205738 + 1. assign V414888 = V877754 + 1. assign V109208 = V211594 - 1. assign V978077 = V500254 + 1. assign V205417 = V282359 - 1. assign V129049 = V048478 + 1. assign V262158 = V294753. assign V603801 = V129049 + 1. assign V635649 = V900512 + 1. assign V319524 = V726653 + 1. assign V016605 = V782364 - 1. assign V659564 = V211594. assign V211594 = V422286. assign V726653 = V053124 + 1. assign V413017 = V211594 + 1. assign V541868 = V659564. assign V715301 = V422286 - 1. assign V690046 = V393162 - 1. assign V271800 = V129049 + 1. assign V429630 = V422286. assign V547734 = V789766 - 1. assign V550060 = V194625 + 1. assign V770224 = V782364 + 1. assign V922668 = V344978 + 1. assign V675699 = 10. assign V755836 = V422286 + 1. assign V191298 = V427667 - 1. assign V789766 = V529494 - 1. assign V309225 = V529494 - 1. assign V048478 = V294753 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV675699 = 10;\n\nFrom these direct assignment(s), we have: \nV591003 = V675699 + 1 = 10 + 1 =11;\nNo other variables can be derived from V591003;\nNo other variables can be derived from V675699;\n\nNow we have done all the calculations. Derived variables are:\nV675699 = 10;\nV591003 = 11;\n\nNow we have finished this problem. ANSWER:\nV675699\n", "role": "assistant" } ]

[ "V525846", "V682178" ]

[ { "content": "<context>\nassign V007513 = V691824 - 1. assign V449615 = V306509. assign V482129 = V739641. assign V377332 = V584722 - 1. assign V160059 = V190753 + 1. assign V539774 = V016899 - 1. assign V367703 = V539210. assign V210815 = V388744 - 1. assign V024602 = V739641. assign V134964 = V280628 + 1. assign V874001 = V388744. assign V184185 = V644030. assign V285717 = V210815 + 1. assign V190753 = V851456 + 1. assign V644463 = V739641 - 1. assign V653685 = V388744. assign V525580 = V361032. assign V388744 = V889288 - 1. assign V739641 = V851456 + 1. assign V274707 = V367703 - 1. assign V558839 = V172397. assign V361032 = V367703 + 1. assign V650715 = V836624 + 1. assign V631540 = V897818 + 1. assign V665104 = V172397. assign V154344 = V976622 + 1. assign V016899 = V739641. assign V145676 = V007513. assign V385224 = V753965 + 1. assign V084084 = V539210. assign V584722 = V539210 + 1. assign V729214 = V644030 - 1. assign V306509 = V691824. assign V228585 = V084084 - 1. assign V450963 = V306509 - 1. assign V217073 = V525580. assign V273406 = V525580 - 1. assign V664321 = V593602 - 1. assign V612384 = V999189 + 1. assign V147253 = V274707. assign V321870 = V539210 + 1. assign V836624 = V125570 + 1. assign V070178 = V482129. assign V148931 = V665104. assign V286349 = V070178 - 1. assign V305104 = V739641 - 1. assign V437737 = V889288. assign V019658 = V134964 - 1. assign V152941 = V190753. assign V488673 = V274707 + 1. assign V514769 = V584722 + 1. assign V517476 = V745984. assign V515094 = V539774 + 1. assign V613861 = V388744 + 1. assign V976622 = V999189 + 1. assign V805919 = V488673. assign V682178 = V525846. assign V897818 = V889288 + 1. assign V872423 = V482129. assign V975199 = V361032. assign V644030 = V388744 + 1. assign V851456 = V999189 - 1. assign V575379 = V515094. assign V535503 = V007513. assign V691824 = V367703 + 1. assign V567342 = V976622 - 1. assign V889288 = V999189 + 1. assign V619522 = V539210 + 1. assign V999189 = V539210 - 1. assign V823435 = V851456. assign V280628 = V172397. assign V745984 = V367703. assign V636088 = V836624 - 1. assign V094397 = V650715 - 1. assign V125570 = V851456 - 1. assign V525846 = 2. assign V593602 = V437737 + 1. assign V753965 = V094397. assign V172397 = V539210 + 1. assign V530971 = V999189. assign V390082 = V897818. assign V922303 = V636532. assign V499345 = V836624 - 1. assign V636532 = V305104 + 1. assign V508956 = V499345 - 1. assign V744521 = V273406.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V007513 = V691824 - 1. assign V449615 = V306509. assign V482129 = V739641. assign V377332 = V584722 - 1. assign V160059 = V190753 + 1. assign V539774 = V016899 - 1. assign V367703 = V539210. assign V210815 = V388744 - 1. assign V024602 = V739641. assign V134964 = V280628 + 1. assign V874001 = V388744. assign V184185 = V644030. assign V285717 = V210815 + 1. assign V190753 = V851456 + 1. assign V644463 = V739641 - 1. assign V653685 = V388744. assign V525580 = V361032. assign V388744 = V889288 - 1. assign V739641 = V851456 + 1. assign V274707 = V367703 - 1. assign V558839 = V172397. assign V361032 = V367703 + 1. assign V650715 = V836624 + 1. assign V631540 = V897818 + 1. assign V665104 = V172397. assign V154344 = V976622 + 1. assign V016899 = V739641. assign V145676 = V007513. assign V385224 = V753965 + 1. assign V084084 = V539210. assign V584722 = V539210 + 1. assign V729214 = V644030 - 1. assign V306509 = V691824. assign V228585 = V084084 - 1. assign V450963 = V306509 - 1. assign V217073 = V525580. assign V273406 = V525580 - 1. assign V664321 = V593602 - 1. assign V612384 = V999189 + 1. assign V147253 = V274707. assign V321870 = V539210 + 1. assign V836624 = V125570 + 1. assign V070178 = V482129. assign V148931 = V665104. assign V286349 = V070178 - 1. assign V305104 = V739641 - 1. assign V437737 = V889288. assign V019658 = V134964 - 1. assign V152941 = V190753. assign V488673 = V274707 + 1. assign V514769 = V584722 + 1. assign V517476 = V745984. assign V515094 = V539774 + 1. assign V613861 = V388744 + 1. assign V976622 = V999189 + 1. assign V805919 = V488673. assign V682178 = V525846. assign V897818 = V889288 + 1. assign V872423 = V482129. assign V975199 = V361032. assign V644030 = V388744 + 1. assign V851456 = V999189 - 1. assign V575379 = V515094. assign V535503 = V007513. assign V691824 = V367703 + 1. assign V567342 = V976622 - 1. assign V889288 = V999189 + 1. assign V619522 = V539210 + 1. assign V999189 = V539210 - 1. assign V823435 = V851456. assign V280628 = V172397. assign V745984 = V367703. assign V636088 = V836624 - 1. assign V094397 = V650715 - 1. assign V125570 = V851456 - 1. assign V525846 = 2. assign V593602 = V437737 + 1. assign V753965 = V094397. assign V172397 = V539210 + 1. assign V530971 = V999189. assign V390082 = V897818. assign V922303 = V636532. assign V499345 = V836624 - 1. assign V636532 = V305104 + 1. assign V508956 = V499345 - 1. assign V744521 = V273406.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV525846 = 2;\n\nFrom these direct assignment(s), we have: \nV682178 = V525846 = 2;\nNo other variables can be derived from V682178;\nNo other variables can be derived from V525846;\n\nNow we have done all the calculations. Derived variables are:\nV525846 = 2;\nV682178 = 2;\n\nNow we have finished this problem. ANSWER:\nV525846, V682178\n", "role": "assistant" } ]

[ "V042432", "V324954" ]

[ { "content": "<context>\nassign V604022 = V141617. assign V207925 = V471578. assign V667769 = V498651 - 1. assign V171532 = V805416 - 1. assign V623992 = V667769. assign V472974 = V867685. assign V324954 = V042432. assign V202750 = V604022 + 1. assign V491508 = V561626. assign V305097 = V033715 - 1. assign V284409 = V469927 + 1. assign V544599 = V318144. assign V519133 = V833973 + 1. assign V472126 = V397562. assign V309974 = V245488 - 1. assign V857926 = V925753. assign V976035 = V485502 + 1. assign V740095 = V472974 - 1. assign V861373 = V004573 - 1. assign V256479 = V839122 - 1. assign V250936 = V107597 - 1. assign V777161 = V752354. assign V490794 = V544599 + 1. assign V225116 = V250936 - 1. assign V716008 = V050977 + 1. assign V592502 = V675050. assign V701840 = V245488. assign V187940 = V913006. assign V042432 = 3. assign V141617 = V471578. assign V167437 = V207925. assign V407233 = V675050 - 1. assign V587167 = V318144 - 1. assign V700108 = V806104. assign V452963 = V167437 + 1. assign V818326 = V528013. assign V660705 = V245488 - 1. assign V752354 = V225116 - 1. assign V582375 = V701840 - 1. assign V701878 = V529017 + 1. assign V217956 = V070048 + 1. assign V913006 = V667769. assign V945600 = V207925. assign V070048 = V485502 - 1. assign V860061 = V107597. assign V892278 = V857926 + 1. assign V498651 = V033715 + 1. assign V595241 = V857926. assign V576291 = V245488 - 1. assign V453125 = V528013. assign V888893 = V675050. assign V033715 = V888893 - 1. assign V529017 = V860061. assign V220427 = V677213 - 1. assign V537572 = V677213 - 1. assign V004573 = V050977. assign V312875 = V976035 - 1. assign V469927 = V070048 + 1. assign V606636 = V033715. assign V806104 = V225116 - 1. assign V171431 = V660705. assign V318144 = V207925. assign V245939 = V833973. assign V245488 = V407233. assign V135431 = V544599 - 1. assign V805416 = V472974. assign V839122 = V472126. assign V677213 = V167437 - 1. assign V285697 = V544599 + 1. assign V528013 = V407233 - 1. assign V050977 = V407233. assign V471578 = V485502. assign V651722 = V050977. assign V910489 = V472126 + 1. assign V708295 = V245488. assign V561626 = V544599 - 1. assign V938019 = V250936 + 1. assign V205712 = V471578 + 1. assign V075641 = V472974. assign V833973 = V660705. assign V107597 = V485502. assign V397562 = V485502 + 1. assign V433353 = V491508. assign V867685 = V397562 + 1. assign V675050 = V485502 - 1. assign V925753 = V107597 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V604022 = V141617. assign V207925 = V471578. assign V667769 = V498651 - 1. assign V171532 = V805416 - 1. assign V623992 = V667769. assign V472974 = V867685. assign V324954 = V042432. assign V202750 = V604022 + 1. assign V491508 = V561626. assign V305097 = V033715 - 1. assign V284409 = V469927 + 1. assign V544599 = V318144. assign V519133 = V833973 + 1. assign V472126 = V397562. assign V309974 = V245488 - 1. assign V857926 = V925753. assign V976035 = V485502 + 1. assign V740095 = V472974 - 1. assign V861373 = V004573 - 1. assign V256479 = V839122 - 1. assign V250936 = V107597 - 1. assign V777161 = V752354. assign V490794 = V544599 + 1. assign V225116 = V250936 - 1. assign V716008 = V050977 + 1. assign V592502 = V675050. assign V701840 = V245488. assign V187940 = V913006. assign V042432 = 3. assign V141617 = V471578. assign V167437 = V207925. assign V407233 = V675050 - 1. assign V587167 = V318144 - 1. assign V700108 = V806104. assign V452963 = V167437 + 1. assign V818326 = V528013. assign V660705 = V245488 - 1. assign V752354 = V225116 - 1. assign V582375 = V701840 - 1. assign V701878 = V529017 + 1. assign V217956 = V070048 + 1. assign V913006 = V667769. assign V945600 = V207925. assign V070048 = V485502 - 1. assign V860061 = V107597. assign V892278 = V857926 + 1. assign V498651 = V033715 + 1. assign V595241 = V857926. assign V576291 = V245488 - 1. assign V453125 = V528013. assign V888893 = V675050. assign V033715 = V888893 - 1. assign V529017 = V860061. assign V220427 = V677213 - 1. assign V537572 = V677213 - 1. assign V004573 = V050977. assign V312875 = V976035 - 1. assign V469927 = V070048 + 1. assign V606636 = V033715. assign V806104 = V225116 - 1. assign V171431 = V660705. assign V318144 = V207925. assign V245939 = V833973. assign V245488 = V407233. assign V135431 = V544599 - 1. assign V805416 = V472974. assign V839122 = V472126. assign V677213 = V167437 - 1. assign V285697 = V544599 + 1. assign V528013 = V407233 - 1. assign V050977 = V407233. assign V471578 = V485502. assign V651722 = V050977. assign V910489 = V472126 + 1. assign V708295 = V245488. assign V561626 = V544599 - 1. assign V938019 = V250936 + 1. assign V205712 = V471578 + 1. assign V075641 = V472974. assign V833973 = V660705. assign V107597 = V485502. assign V397562 = V485502 + 1. assign V433353 = V491508. assign V867685 = V397562 + 1. assign V675050 = V485502 - 1. assign V925753 = V107597 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV042432 = 3;\n\nFrom these direct assignment(s), we have: \nV324954 = V042432 = 3;\nNo other variables can be derived from V324954;\nNo other variables can be derived from V042432;\n\nNow we have done all the calculations. Derived variables are:\nV042432 = 3;\nV324954 = 3;\n\nNow we have finished this problem. ANSWER:\nV042432, V324954\n", "role": "assistant" } ]

[ "V096959" ]

[ { "content": "<context>\nassign V131120 = V876451. assign V147832 = V782182. assign V341736 = V848093 + 1. assign V691901 = V667573 - 1. assign V940811 = V346722. assign V264619 = V193149 - 1. assign V474177 = 3. assign V023138 = V999146. assign V508329 = V613084 + 1. assign V613084 = V508538. assign V840772 = V270266. assign V020851 = V216020 + 1. assign V384938 = V920340 + 1. assign V713922 = V341736 + 1. assign V690889 = V986197 + 1. assign V039849 = V723153 - 1. assign V270266 = V346722 - 1. assign V782182 = V530899 - 1. assign V742579 = V707812. assign V530899 = V920340 + 1. assign V244767 = V160179 - 1. assign V827931 = V147832 - 1. assign V677997 = V857200 + 1. assign V388296 = V742579. assign V346722 = V585700 - 1. assign V760209 = V812243 + 1. assign V630767 = V264619 + 1. assign V508538 = V193149 - 1. assign V723153 = V530899 - 1. assign V941103 = V613084 + 1. assign V213391 = V298395. assign V567263 = V377431. assign V689786 = V920340 + 1. assign V790024 = V713922. assign V743828 = V270266 + 1. assign V585700 = V707812 - 1. assign V812243 = V689786 + 1. assign V667573 = V349703 - 1. assign V546272 = V362652 - 1. assign V015747 = V216020 + 1. assign V857200 = V244767 + 1. assign V372593 = V920340. assign V176382 = V690889 + 1. assign V372022 = V689786 + 1. assign V216020 = V362652 + 1. assign V546323 = V377431 + 1. assign V644478 = V346722. assign V160179 = V377431. assign V442221 = V459306 + 1. assign V855694 = V876451 - 1. assign V362652 = V920340. assign V450939 = V162660 - 1. assign V377431 = V707812. assign V867441 = V848093 + 1. assign V193149 = V546323 + 1. assign V093010 = V378075. assign V882413 = V530899. assign V858061 = V270266. assign V999146 = V377431 - 1. assign V869754 = V372593 - 1. assign V024314 = V723153 - 1. assign V199904 = V952295 + 1. assign V349703 = V372593 - 1. assign V521264 = V690889. assign V986197 = V147832 - 1. assign V459306 = V920340. assign V475250 = V039849 - 1. assign V513265 = V812243 - 1. assign V952295 = V362652 - 1. assign V707812 = V362652 + 1. assign V223960 = V349703 - 1. assign V797988 = V848093. assign V096959 = V474177 - 1. assign V378075 = V530899. assign V047264 = V707812. assign V092099 = V372593 + 1. assign V848093 = V920340 - 1. assign V298395 = V920340 + 1. assign V480192 = V242847 + 1. assign V242847 = V244767 - 1. assign V665473 = V920340 - 1. assign V180678 = V480192 - 1. assign V876451 = V047264 + 1. assign V254891 = V372022. assign V162660 = V362652. assign V735217 = V690889 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V131120 = V876451. assign V147832 = V782182. assign V341736 = V848093 + 1. assign V691901 = V667573 - 1. assign V940811 = V346722. assign V264619 = V193149 - 1. assign V474177 = 3. assign V023138 = V999146. assign V508329 = V613084 + 1. assign V613084 = V508538. assign V840772 = V270266. assign V020851 = V216020 + 1. assign V384938 = V920340 + 1. assign V713922 = V341736 + 1. assign V690889 = V986197 + 1. assign V039849 = V723153 - 1. assign V270266 = V346722 - 1. assign V782182 = V530899 - 1. assign V742579 = V707812. assign V530899 = V920340 + 1. assign V244767 = V160179 - 1. assign V827931 = V147832 - 1. assign V677997 = V857200 + 1. assign V388296 = V742579. assign V346722 = V585700 - 1. assign V760209 = V812243 + 1. assign V630767 = V264619 + 1. assign V508538 = V193149 - 1. assign V723153 = V530899 - 1. assign V941103 = V613084 + 1. assign V213391 = V298395. assign V567263 = V377431. assign V689786 = V920340 + 1. assign V790024 = V713922. assign V743828 = V270266 + 1. assign V585700 = V707812 - 1. assign V812243 = V689786 + 1. assign V667573 = V349703 - 1. assign V546272 = V362652 - 1. assign V015747 = V216020 + 1. assign V857200 = V244767 + 1. assign V372593 = V920340. assign V176382 = V690889 + 1. assign V372022 = V689786 + 1. assign V216020 = V362652 + 1. assign V546323 = V377431 + 1. assign V644478 = V346722. assign V160179 = V377431. assign V442221 = V459306 + 1. assign V855694 = V876451 - 1. assign V362652 = V920340. assign V450939 = V162660 - 1. assign V377431 = V707812. assign V867441 = V848093 + 1. assign V193149 = V546323 + 1. assign V093010 = V378075. assign V882413 = V530899. assign V858061 = V270266. assign V999146 = V377431 - 1. assign V869754 = V372593 - 1. assign V024314 = V723153 - 1. assign V199904 = V952295 + 1. assign V349703 = V372593 - 1. assign V521264 = V690889. assign V986197 = V147832 - 1. assign V459306 = V920340. assign V475250 = V039849 - 1. assign V513265 = V812243 - 1. assign V952295 = V362652 - 1. assign V707812 = V362652 + 1. assign V223960 = V349703 - 1. assign V797988 = V848093. assign V096959 = V474177 - 1. assign V378075 = V530899. assign V047264 = V707812. assign V092099 = V372593 + 1. assign V848093 = V920340 - 1. assign V298395 = V920340 + 1. assign V480192 = V242847 + 1. assign V242847 = V244767 - 1. assign V665473 = V920340 - 1. assign V180678 = V480192 - 1. assign V876451 = V047264 + 1. assign V254891 = V372022. assign V162660 = V362652. assign V735217 = V690889 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV474177 = 3;\n\nFrom these direct assignment(s), we have: \nV096959 = V474177 - 1 = 3 - 1 =2;\nNo other variables can be derived from V096959;\nNo other variables can be derived from V474177;\n\nNow we have done all the calculations. Derived variables are:\nV474177 = 3;\nV096959 = 2;\n\nNow we have finished this problem. ANSWER:\nV096959\n", "role": "assistant" } ]

[ "V988488" ]

[ { "content": "<context>\nassign V557626 = V220340 - 1. assign V137538 = V972093. assign V124273 = V384747 + 1. assign V905182 = V300536 - 1. assign V535999 = V300536 - 1. assign V127808 = V762650. assign V804879 = V064426 - 1. assign V064426 = V783478. assign V228218 = V262312 + 1. assign V839444 = V396726 - 1. assign V400168 = V564890 - 1. assign V814978 = V723572 - 1. assign V026623 = V723572. assign V704534 = V753085 - 1. assign V808481 = V861929 - 1. assign V773004 = V362839. assign V078133 = V861929 - 1. assign V351025 = V496916. assign V247972 = V708262 + 1. assign V988488 = 10. assign V760503 = V137538 - 1. assign V564890 = V127808. assign V536200 = V773004 + 1. assign V738835 = V247972. assign V406486 = V656374. assign V375923 = V477227. assign V362839 = V078133 - 1. assign V498198 = V384747. assign V817315 = V905182. assign V602008 = V036130 - 1. assign V591914 = V755995 - 1. assign V982578 = V988488 - 1. assign V861929 = V783478. assign V340592 = V993358 - 1. assign V866246 = V905182 + 1. assign V567199 = V300536. assign V781865 = V847697 - 1. assign V656374 = V561689 - 1. assign V300536 = V783478 + 1. assign V936425 = V723572. assign V428364 = V496916 + 1. assign V751369 = V817374. assign V508764 = V561689 - 1. assign V368058 = V723572. assign V552427 = V723572 + 1. assign V755995 = V300536. assign V092987 = V564890 - 1. assign V257773 = V953984. assign V138353 = V508764 - 1. assign V126234 = V508764 - 1. assign V619237 = V561689. assign V539705 = V656374 - 1. assign V384747 = V866246 + 1. assign V993358 = V783478. assign V167225 = V708262 + 1. assign V716158 = V656374 + 1. assign V396726 = V561689. assign V686318 = V847697 - 1. assign V290591 = V498198. assign V238040 = V137538. assign V963420 = V262312. assign V753085 = V755995 - 1. assign V647037 = V993358 + 1. assign V847697 = V126234 + 1. assign V096347 = V247972 + 1. assign V953984 = V167225 - 1. assign V220340 = V536200 - 1. assign V477227 = V762650 + 1. assign V680005 = V861929 - 1. assign V496916 = V861929 + 1. assign V817374 = V126234. assign V762650 = V300536 - 1. assign V566871 = V963420. assign V651715 = V861929 - 1. assign V520390 = V993358. assign V561689 = V905182. assign V723572 = V064426 - 1. assign V853725 = V755995 - 1. assign V708262 = V064426 + 1. assign V678093 = V539705 - 1. assign V036130 = V362839 + 1. assign V972093 = V651715 - 1. assign V671578 = V396726 + 1. assign V262312 = V804879 - 1. assign V305895 = V773004 + 1. assign V528185 = V064426 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V557626 = V220340 - 1. assign V137538 = V972093. assign V124273 = V384747 + 1. assign V905182 = V300536 - 1. assign V535999 = V300536 - 1. assign V127808 = V762650. assign V804879 = V064426 - 1. assign V064426 = V783478. assign V228218 = V262312 + 1. assign V839444 = V396726 - 1. assign V400168 = V564890 - 1. assign V814978 = V723572 - 1. assign V026623 = V723572. assign V704534 = V753085 - 1. assign V808481 = V861929 - 1. assign V773004 = V362839. assign V078133 = V861929 - 1. assign V351025 = V496916. assign V247972 = V708262 + 1. assign V988488 = 10. assign V760503 = V137538 - 1. assign V564890 = V127808. assign V536200 = V773004 + 1. assign V738835 = V247972. assign V406486 = V656374. assign V375923 = V477227. assign V362839 = V078133 - 1. assign V498198 = V384747. assign V817315 = V905182. assign V602008 = V036130 - 1. assign V591914 = V755995 - 1. assign V982578 = V988488 - 1. assign V861929 = V783478. assign V340592 = V993358 - 1. assign V866246 = V905182 + 1. assign V567199 = V300536. assign V781865 = V847697 - 1. assign V656374 = V561689 - 1. assign V300536 = V783478 + 1. assign V936425 = V723572. assign V428364 = V496916 + 1. assign V751369 = V817374. assign V508764 = V561689 - 1. assign V368058 = V723572. assign V552427 = V723572 + 1. assign V755995 = V300536. assign V092987 = V564890 - 1. assign V257773 = V953984. assign V138353 = V508764 - 1. assign V126234 = V508764 - 1. assign V619237 = V561689. assign V539705 = V656374 - 1. assign V384747 = V866246 + 1. assign V993358 = V783478. assign V167225 = V708262 + 1. assign V716158 = V656374 + 1. assign V396726 = V561689. assign V686318 = V847697 - 1. assign V290591 = V498198. assign V238040 = V137538. assign V963420 = V262312. assign V753085 = V755995 - 1. assign V647037 = V993358 + 1. assign V847697 = V126234 + 1. assign V096347 = V247972 + 1. assign V953984 = V167225 - 1. assign V220340 = V536200 - 1. assign V477227 = V762650 + 1. assign V680005 = V861929 - 1. assign V496916 = V861929 + 1. assign V817374 = V126234. assign V762650 = V300536 - 1. assign V566871 = V963420. assign V651715 = V861929 - 1. assign V520390 = V993358. assign V561689 = V905182. assign V723572 = V064426 - 1. assign V853725 = V755995 - 1. assign V708262 = V064426 + 1. assign V678093 = V539705 - 1. assign V036130 = V362839 + 1. assign V972093 = V651715 - 1. assign V671578 = V396726 + 1. assign V262312 = V804879 - 1. assign V305895 = V773004 + 1. assign V528185 = V064426 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV988488 = 10;\n\nFrom these direct assignment(s), we have: \nV982578 = V988488 - 1 = 10 - 1 =9;\nNo other variables can be derived from V982578;\nNo other variables can be derived from V988488;\n\nNow we have done all the calculations. Derived variables are:\nV988488 = 10;\nV982578 = 9;\n\nNow we have finished this problem. ANSWER:\nV988488\n", "role": "assistant" } ]

[ "V697988" ]

[ { "content": "<context>\nassign V066689 = V730677 - 1. assign V624725 = V150288. assign V464843 = V211265 - 1. assign V748586 = V405835. assign V449337 = V211265 + 1. assign V730677 = V326473. assign V003327 = V408885 - 1. assign V377802 = V052784 - 1. assign V340576 = V349991 - 1. assign V465783 = V028611 + 1. assign V399322 = V843380 + 1. assign V987542 = V117883 - 1. assign V402666 = V683445. assign V766899 = V129875 + 1. assign V408885 = V235688 - 1. assign V406235 = V052784 - 1. assign V242962 = V683445. assign V221041 = V697988 + 1. assign V614510 = V796013 + 1. assign V052784 = V464843 - 1. assign V951959 = V326473 + 1. assign V082772 = V117883 - 1. assign V124299 = V377802 + 1. assign V565409 = V082772. assign V378261 = V683445 - 1. assign V091796 = V117883. assign V470413 = V683445. assign V779775 = V340576 - 1. assign V704918 = V748586 - 1. assign V599952 = V129875. assign V926874 = V730677 - 1. assign V349991 = V052784 + 1. assign V796013 = V235688 - 1. assign V148642 = V926874. assign V223054 = V637462. assign V674461 = V637462 - 1. assign V640892 = V748586. assign V504076 = V926874 - 1. assign V128927 = V350584 + 1. assign V117883 = V926874 - 1. assign V918709 = V377802. assign V265598 = V008020. assign V405835 = V951959 - 1. assign V769921 = V802226 + 1. assign V691304 = V704918 + 1. assign V859850 = V350584 - 1. assign V637462 = V464843 - 1. assign V711056 = V902895. assign V074215 = V802226. assign V502822 = V082772. assign V515191 = V403795 + 1. assign V802226 = V349991 + 1. assign V557559 = V748586 - 1. assign V402071 = V028611 - 1. assign V403795 = V464843 - 1. assign V350584 = V730677. assign V818556 = V349991 - 1. assign V786792 = V003327 + 1. assign V785594 = V399322. assign V129875 = V951959 - 1. assign V069474 = V748586 + 1. assign V134865 = V683445. assign V028611 = V618115. assign V674213 = V859850 - 1. assign V419987 = V711056. assign V150288 = V951959. assign V008020 = V902895. assign V618115 = V211265 - 1. assign V153994 = V711056. assign V538690 = V557559 + 1. assign V938269 = V470413. assign V629038 = V637462 + 1. assign V825881 = V637462. assign V326473 = V637462. assign V697988 = 4. assign V060056 = V683445 - 1. assign V873009 = V629038. assign V235688 = V406235. assign V710433 = V117883 + 1. assign V778370 = V082772 + 1. assign V843380 = V350584 - 1. assign V512708 = V419987. assign V683445 = V211265 + 1. assign V881280 = V242962 - 1. assign V756541 = V377802 - 1. assign V902895 = V618115 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V066689 = V730677 - 1. assign V624725 = V150288. assign V464843 = V211265 - 1. assign V748586 = V405835. assign V449337 = V211265 + 1. assign V730677 = V326473. assign V003327 = V408885 - 1. assign V377802 = V052784 - 1. assign V340576 = V349991 - 1. assign V465783 = V028611 + 1. assign V399322 = V843380 + 1. assign V987542 = V117883 - 1. assign V402666 = V683445. assign V766899 = V129875 + 1. assign V408885 = V235688 - 1. assign V406235 = V052784 - 1. assign V242962 = V683445. assign V221041 = V697988 + 1. assign V614510 = V796013 + 1. assign V052784 = V464843 - 1. assign V951959 = V326473 + 1. assign V082772 = V117883 - 1. assign V124299 = V377802 + 1. assign V565409 = V082772. assign V378261 = V683445 - 1. assign V091796 = V117883. assign V470413 = V683445. assign V779775 = V340576 - 1. assign V704918 = V748586 - 1. assign V599952 = V129875. assign V926874 = V730677 - 1. assign V349991 = V052784 + 1. assign V796013 = V235688 - 1. assign V148642 = V926874. assign V223054 = V637462. assign V674461 = V637462 - 1. assign V640892 = V748586. assign V504076 = V926874 - 1. assign V128927 = V350584 + 1. assign V117883 = V926874 - 1. assign V918709 = V377802. assign V265598 = V008020. assign V405835 = V951959 - 1. assign V769921 = V802226 + 1. assign V691304 = V704918 + 1. assign V859850 = V350584 - 1. assign V637462 = V464843 - 1. assign V711056 = V902895. assign V074215 = V802226. assign V502822 = V082772. assign V515191 = V403795 + 1. assign V802226 = V349991 + 1. assign V557559 = V748586 - 1. assign V402071 = V028611 - 1. assign V403795 = V464843 - 1. assign V350584 = V730677. assign V818556 = V349991 - 1. assign V786792 = V003327 + 1. assign V785594 = V399322. assign V129875 = V951959 - 1. assign V069474 = V748586 + 1. assign V134865 = V683445. assign V028611 = V618115. assign V674213 = V859850 - 1. assign V419987 = V711056. assign V150288 = V951959. assign V008020 = V902895. assign V618115 = V211265 - 1. assign V153994 = V711056. assign V538690 = V557559 + 1. assign V938269 = V470413. assign V629038 = V637462 + 1. assign V825881 = V637462. assign V326473 = V637462. assign V697988 = 4. assign V060056 = V683445 - 1. assign V873009 = V629038. assign V235688 = V406235. assign V710433 = V117883 + 1. assign V778370 = V082772 + 1. assign V843380 = V350584 - 1. assign V512708 = V419987. assign V683445 = V211265 + 1. assign V881280 = V242962 - 1. assign V756541 = V377802 - 1. assign V902895 = V618115 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV697988 = 4;\n\nFrom these direct assignment(s), we have: \nV221041 = V697988 + 1 = 4 + 1 =5;\nNo other variables can be derived from V221041;\nNo other variables can be derived from V697988;\n\nNow we have done all the calculations. Derived variables are:\nV697988 = 4;\nV221041 = 5;\n\nNow we have finished this problem. ANSWER:\nV697988\n", "role": "assistant" } ]

[ "V688406", "V799902" ]

[ { "content": "<context>\nassign V417294 = V424132. assign V202746 = V420442. assign V891026 = V420442. assign V509744 = V764248 - 1. assign V799902 = V688406. assign V056454 = V808834. assign V396972 = V202746 - 1. assign V776847 = V891026. assign V403660 = V698207. assign V986538 = V891026 - 1. assign V607146 = V095699. assign V313773 = V493715 - 1. assign V447951 = V470987 - 1. assign V114891 = V927032 - 1. assign V090872 = V208258. assign V031235 = V764248 + 1. assign V461883 = V593436 + 1. assign V350543 = V809638 - 1. assign V809638 = V510113 - 1. assign V840587 = V477614. assign V392650 = V420442 + 1. assign V488231 = V642077. assign V510113 = V849337 - 1. assign V095699 = V392650 + 1. assign V004404 = V891026 + 1. assign V260527 = V420442. assign V618084 = V420442 - 1. assign V801142 = V927907 + 1. assign V853705 = V424132 + 1. assign V698207 = V392650. assign V808834 = V849337 - 1. assign V427851 = V031235 + 1. assign V849337 = V403660 + 1. assign V927032 = V849337 - 1. assign V402905 = V964943 + 1. assign V477419 = V444477. assign V869796 = V420442 + 1. assign V642077 = V004404. assign V944968 = V225637. assign V436988 = V403660. assign V514695 = V392650 - 1. assign V927907 = V111936 + 1. assign V191113 = V618084 + 1. assign V822632 = V776847 - 1. assign V256888 = V869796 + 1. assign V465315 = V618084 - 1. assign V918721 = V392650 - 1. assign V094200 = V957352 - 1. assign V392013 = V593436 - 1. assign V407721 = V392013 - 1. assign V310685 = V470987 - 1. assign V275274 = V202746 - 1. assign V424132 = V403660 + 1. assign V964943 = V514695 - 1. assign V957352 = V514695 - 1. assign V706733 = V095699 + 1. assign V470987 = V618084 + 1. assign V326205 = V461883 + 1. assign V764248 = V891026 + 1. assign V444477 = V004404 - 1. assign V128372 = V313773. assign V931752 = V403660 - 1. assign V221332 = V407721 + 1. assign V421696 = V392650 + 1. assign V056765 = V607146 + 1. assign V711813 = V208258 + 1. assign V140328 = V840587. assign V158257 = V944968. assign V732116 = V706733. assign V593183 = V444477. assign V614233 = V918721 - 1. assign V427834 = V004404 + 1. assign V208258 = V111936 - 1. assign V111936 = V260527. assign V675575 = V114891. assign V225637 = V891026. assign V168964 = V350543. assign V477614 = V111936 - 1. assign V633580 = V004404 + 1. assign V364145 = V031235 - 1. assign V012187 = V392013. assign V620964 = V326205. assign V678429 = V849337 - 1. assign V493715 = V403660 + 1. assign V593436 = V392650. assign V688406 = 10.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V417294 = V424132. assign V202746 = V420442. assign V891026 = V420442. assign V509744 = V764248 - 1. assign V799902 = V688406. assign V056454 = V808834. assign V396972 = V202746 - 1. assign V776847 = V891026. assign V403660 = V698207. assign V986538 = V891026 - 1. assign V607146 = V095699. assign V313773 = V493715 - 1. assign V447951 = V470987 - 1. assign V114891 = V927032 - 1. assign V090872 = V208258. assign V031235 = V764248 + 1. assign V461883 = V593436 + 1. assign V350543 = V809638 - 1. assign V809638 = V510113 - 1. assign V840587 = V477614. assign V392650 = V420442 + 1. assign V488231 = V642077. assign V510113 = V849337 - 1. assign V095699 = V392650 + 1. assign V004404 = V891026 + 1. assign V260527 = V420442. assign V618084 = V420442 - 1. assign V801142 = V927907 + 1. assign V853705 = V424132 + 1. assign V698207 = V392650. assign V808834 = V849337 - 1. assign V427851 = V031235 + 1. assign V849337 = V403660 + 1. assign V927032 = V849337 - 1. assign V402905 = V964943 + 1. assign V477419 = V444477. assign V869796 = V420442 + 1. assign V642077 = V004404. assign V944968 = V225637. assign V436988 = V403660. assign V514695 = V392650 - 1. assign V927907 = V111936 + 1. assign V191113 = V618084 + 1. assign V822632 = V776847 - 1. assign V256888 = V869796 + 1. assign V465315 = V618084 - 1. assign V918721 = V392650 - 1. assign V094200 = V957352 - 1. assign V392013 = V593436 - 1. assign V407721 = V392013 - 1. assign V310685 = V470987 - 1. assign V275274 = V202746 - 1. assign V424132 = V403660 + 1. assign V964943 = V514695 - 1. assign V957352 = V514695 - 1. assign V706733 = V095699 + 1. assign V470987 = V618084 + 1. assign V326205 = V461883 + 1. assign V764248 = V891026 + 1. assign V444477 = V004404 - 1. assign V128372 = V313773. assign V931752 = V403660 - 1. assign V221332 = V407721 + 1. assign V421696 = V392650 + 1. assign V056765 = V607146 + 1. assign V711813 = V208258 + 1. assign V140328 = V840587. assign V158257 = V944968. assign V732116 = V706733. assign V593183 = V444477. assign V614233 = V918721 - 1. assign V427834 = V004404 + 1. assign V208258 = V111936 - 1. assign V111936 = V260527. assign V675575 = V114891. assign V225637 = V891026. assign V168964 = V350543. assign V477614 = V111936 - 1. assign V633580 = V004404 + 1. assign V364145 = V031235 - 1. assign V012187 = V392013. assign V620964 = V326205. assign V678429 = V849337 - 1. assign V493715 = V403660 + 1. assign V593436 = V392650. assign V688406 = 10.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV688406 = 10;\n\nFrom these direct assignment(s), we have: \nV799902 = V688406 = 10;\nNo other variables can be derived from V799902;\nNo other variables can be derived from V688406;\n\nNow we have done all the calculations. Derived variables are:\nV688406 = 10;\nV799902 = 10;\n\nNow we have finished this problem. ANSWER:\nV688406, V799902\n", "role": "assistant" } ]

[ "V858909", "V376665" ]

[ { "content": "<context>\nassign V397500 = V866701 - 1. assign V420810 = V729308 + 1. assign V392836 = V770114 + 1. assign V180092 = V646812. assign V571740 = V111438 + 1. assign V850432 = V246582. assign V409848 = V140916 - 1. assign V866701 = V571740 - 1. assign V078385 = V580258 + 1. assign V413366 = V503226 + 1. assign V105693 = V503226 - 1. assign V149575 = V646812 - 1. assign V127779 = V912473 + 1. assign V289096 = V246582 + 1. assign V986352 = V884030 - 1. assign V045400 = V140916 - 1. assign V679856 = V845094. assign V467111 = V310765 - 1. assign V851328 = V078385 + 1. assign V918491 = V140916. assign V552573 = V571740 + 1. assign V770114 = V723266 + 1. assign V984968 = V378472. assign V290344 = V044677 - 1. assign V154360 = V096127 + 1. assign V347297 = V746848 + 1. assign V858909 = 2. assign V285463 = V643957. assign V668107 = V986115 + 1. assign V884030 = V149658. assign V746848 = V111438. assign V580258 = V571740. assign V503226 = V571740 - 1. assign V010883 = V649289 - 1. assign V547180 = V209858 + 1. assign V723266 = V571740 - 1. assign V763831 = V850432. assign V974043 = V580258. assign V997374 = V646812 + 1. assign V149658 = V178270 + 1. assign V646812 = V552573 + 1. assign V687670 = V653566 - 1. assign V418916 = V467111. assign V483921 = V044677 + 1. assign V378472 = V818950. assign V653566 = V310765 - 1. assign V563530 = V884030 - 1. assign V912473 = V246582. assign V111579 = V646812 + 1. assign V545443 = V140916 + 1. assign V868599 = V850432 - 1. assign V096127 = V111438. assign V932693 = V866701 - 1. assign V228100 = V503226 - 1. assign V944530 = V643957. assign V781707 = V563530 + 1. assign V044677 = V149658 - 1. assign V643957 = V746848 - 1. assign V984909 = V467111 - 1. assign V569962 = V290344. assign V390792 = V505265 + 1. assign V767866 = V723266 - 1. assign V675356 = V563530 + 1. assign V281440 = V363315 + 1. assign V209858 = V289096 - 1. assign V818950 = V413366. assign V785472 = V552573 + 1. assign V083157 = V246582. assign V785083 = V413366 + 1. assign V435742 = V228100 + 1. assign V125179 = V984968. assign V178270 = V571740 - 1. assign V986115 = V571740 - 1. assign V140916 = V571740 - 1. assign V505265 = V912473. assign V985147 = V413366. assign V845094 = V986115 + 1. assign V729308 = V246582 + 1. assign V649289 = V723266. assign V651514 = V178270 - 1. assign V419739 = V986352 + 1. assign V349054 = V127779 + 1. assign V376665 = V858909. assign V310765 = V571740 + 1. assign V246582 = V111438 - 1. assign V363315 = V178270.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V397500 = V866701 - 1. assign V420810 = V729308 + 1. assign V392836 = V770114 + 1. assign V180092 = V646812. assign V571740 = V111438 + 1. assign V850432 = V246582. assign V409848 = V140916 - 1. assign V866701 = V571740 - 1. assign V078385 = V580258 + 1. assign V413366 = V503226 + 1. assign V105693 = V503226 - 1. assign V149575 = V646812 - 1. assign V127779 = V912473 + 1. assign V289096 = V246582 + 1. assign V986352 = V884030 - 1. assign V045400 = V140916 - 1. assign V679856 = V845094. assign V467111 = V310765 - 1. assign V851328 = V078385 + 1. assign V918491 = V140916. assign V552573 = V571740 + 1. assign V770114 = V723266 + 1. assign V984968 = V378472. assign V290344 = V044677 - 1. assign V154360 = V096127 + 1. assign V347297 = V746848 + 1. assign V858909 = 2. assign V285463 = V643957. assign V668107 = V986115 + 1. assign V884030 = V149658. assign V746848 = V111438. assign V580258 = V571740. assign V503226 = V571740 - 1. assign V010883 = V649289 - 1. assign V547180 = V209858 + 1. assign V723266 = V571740 - 1. assign V763831 = V850432. assign V974043 = V580258. assign V997374 = V646812 + 1. assign V149658 = V178270 + 1. assign V646812 = V552573 + 1. assign V687670 = V653566 - 1. assign V418916 = V467111. assign V483921 = V044677 + 1. assign V378472 = V818950. assign V653566 = V310765 - 1. assign V563530 = V884030 - 1. assign V912473 = V246582. assign V111579 = V646812 + 1. assign V545443 = V140916 + 1. assign V868599 = V850432 - 1. assign V096127 = V111438. assign V932693 = V866701 - 1. assign V228100 = V503226 - 1. assign V944530 = V643957. assign V781707 = V563530 + 1. assign V044677 = V149658 - 1. assign V643957 = V746848 - 1. assign V984909 = V467111 - 1. assign V569962 = V290344. assign V390792 = V505265 + 1. assign V767866 = V723266 - 1. assign V675356 = V563530 + 1. assign V281440 = V363315 + 1. assign V209858 = V289096 - 1. assign V818950 = V413366. assign V785472 = V552573 + 1. assign V083157 = V246582. assign V785083 = V413366 + 1. assign V435742 = V228100 + 1. assign V125179 = V984968. assign V178270 = V571740 - 1. assign V986115 = V571740 - 1. assign V140916 = V571740 - 1. assign V505265 = V912473. assign V985147 = V413366. assign V845094 = V986115 + 1. assign V729308 = V246582 + 1. assign V649289 = V723266. assign V651514 = V178270 - 1. assign V419739 = V986352 + 1. assign V349054 = V127779 + 1. assign V376665 = V858909. assign V310765 = V571740 + 1. assign V246582 = V111438 - 1. assign V363315 = V178270.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV858909 = 2;\n\nFrom these direct assignment(s), we have: \nV376665 = V858909 = 2;\nNo other variables can be derived from V376665;\nNo other variables can be derived from V858909;\n\nNow we have done all the calculations. Derived variables are:\nV858909 = 2;\nV376665 = 2;\n\nNow we have finished this problem. ANSWER:\nV858909, V376665\n", "role": "assistant" } ]

[ "V049883", "V897740" ]

[ { "content": "<context>\nassign V615590 = V900675 - 1. assign V779247 = V463726 + 1. assign V446582 = V772186 - 1. assign V164648 = V481613 + 1. assign V589097 = V000788. assign V904079 = V366209 - 1. assign V169622 = V706411 + 1. assign V084512 = V366209 - 1. assign V000788 = V801509. assign V182997 = V535260 - 1. assign V652955 = V364370 + 1. assign V892580 = V659422 + 1. assign V643750 = V313225 + 1. assign V349636 = V880229 + 1. assign V880229 = V715038. assign V946751 = V652955. assign V705994 = V181120 + 1. assign V470363 = V845478. assign V379148 = V456135 - 1. assign V830372 = V900675 - 1. assign V204954 = V305506 - 1. assign V201638 = V845478 - 1. assign V009156 = V204954 - 1. assign V065468 = V463726 + 1. assign V826483 = V446582. assign V181120 = V900675 + 1. assign V659422 = V676884 + 1. assign V808212 = V881198 + 1. assign V462961 = V172234. assign V482952 = V683359. assign V924041 = V988490 + 1. assign V099603 = V201638 + 1. assign V969054 = V845478 + 1. assign V881198 = V801509. assign V801509 = V783330 - 1. assign V115830 = V615590 - 1. assign V996987 = V900675 - 1. assign V959751 = V615590. assign V706411 = V313225. assign V248840 = V446582 + 1. assign V845478 = V988490. assign V320201 = V866616 - 1. assign V897740 = V049883. assign V463726 = V767075 + 1. assign V838991 = V313225. assign V366209 = V866608 - 1. assign V998739 = V386935. assign V866616 = V248840. assign V386935 = V248840. assign V027404 = V336477. assign V547890 = V364370 + 1. assign V336477 = V181120. assign V172234 = V676884. assign V783330 = V478723 - 1. assign V364370 = V772186 + 1. assign V650721 = V547890 + 1. assign V022337 = V772186 - 1. assign V946075 = V772186. assign V409813 = V470363 - 1. assign V715038 = V881198 + 1. assign V900675 = V772186 - 1. assign V866608 = V772186 - 1. assign V772186 = V481613. assign V818098 = V783330. assign V636707 = V364370. assign V456135 = V985287. assign V049883 = 6. assign V313225 = V446582 + 1. assign V362768 = V659422 - 1. assign V549689 = V547890. assign V683359 = V549689 - 1. assign V096289 = V998739 + 1. assign V319961 = V826483. assign V680147 = V386935 - 1. assign V305506 = V172234. assign V767075 = V652955. assign V988490 = V446582 - 1. assign V478723 = V446582 + 1. assign V013708 = V715038 + 1. assign V753203 = V182997 + 1. assign V676884 = V900675 - 1. assign V234315 = V676884. assign V535260 = V366209 + 1. assign V985287 = V022337. assign V942112 = V826483 + 1. assign V371504 = V615590 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V615590 = V900675 - 1. assign V779247 = V463726 + 1. assign V446582 = V772186 - 1. assign V164648 = V481613 + 1. assign V589097 = V000788. assign V904079 = V366209 - 1. assign V169622 = V706411 + 1. assign V084512 = V366209 - 1. assign V000788 = V801509. assign V182997 = V535260 - 1. assign V652955 = V364370 + 1. assign V892580 = V659422 + 1. assign V643750 = V313225 + 1. assign V349636 = V880229 + 1. assign V880229 = V715038. assign V946751 = V652955. assign V705994 = V181120 + 1. assign V470363 = V845478. assign V379148 = V456135 - 1. assign V830372 = V900675 - 1. assign V204954 = V305506 - 1. assign V201638 = V845478 - 1. assign V009156 = V204954 - 1. assign V065468 = V463726 + 1. assign V826483 = V446582. assign V181120 = V900675 + 1. assign V659422 = V676884 + 1. assign V808212 = V881198 + 1. assign V462961 = V172234. assign V482952 = V683359. assign V924041 = V988490 + 1. assign V099603 = V201638 + 1. assign V969054 = V845478 + 1. assign V881198 = V801509. assign V801509 = V783330 - 1. assign V115830 = V615590 - 1. assign V996987 = V900675 - 1. assign V959751 = V615590. assign V706411 = V313225. assign V248840 = V446582 + 1. assign V845478 = V988490. assign V320201 = V866616 - 1. assign V897740 = V049883. assign V463726 = V767075 + 1. assign V838991 = V313225. assign V366209 = V866608 - 1. assign V998739 = V386935. assign V866616 = V248840. assign V386935 = V248840. assign V027404 = V336477. assign V547890 = V364370 + 1. assign V336477 = V181120. assign V172234 = V676884. assign V783330 = V478723 - 1. assign V364370 = V772186 + 1. assign V650721 = V547890 + 1. assign V022337 = V772186 - 1. assign V946075 = V772186. assign V409813 = V470363 - 1. assign V715038 = V881198 + 1. assign V900675 = V772186 - 1. assign V866608 = V772186 - 1. assign V772186 = V481613. assign V818098 = V783330. assign V636707 = V364370. assign V456135 = V985287. assign V049883 = 6. assign V313225 = V446582 + 1. assign V362768 = V659422 - 1. assign V549689 = V547890. assign V683359 = V549689 - 1. assign V096289 = V998739 + 1. assign V319961 = V826483. assign V680147 = V386935 - 1. assign V305506 = V172234. assign V767075 = V652955. assign V988490 = V446582 - 1. assign V478723 = V446582 + 1. assign V013708 = V715038 + 1. assign V753203 = V182997 + 1. assign V676884 = V900675 - 1. assign V234315 = V676884. assign V535260 = V366209 + 1. assign V985287 = V022337. assign V942112 = V826483 + 1. assign V371504 = V615590 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV049883 = 6;\n\nFrom these direct assignment(s), we have: \nV897740 = V049883 = 6;\nNo other variables can be derived from V897740;\nNo other variables can be derived from V049883;\n\nNow we have done all the calculations. Derived variables are:\nV049883 = 6;\nV897740 = 6;\n\nNow we have finished this problem. ANSWER:\nV049883, V897740\n", "role": "assistant" } ]

[ "V982337", "V921385" ]

[ { "content": "<context>\nassign V878508 = V628139 + 1. assign V753321 = V889951 - 1. assign V207981 = V196213 - 1. assign V212784 = V035230 - 1. assign V770330 = V196213. assign V921385 = V982337. assign V481815 = V577530 - 1. assign V238369 = V628139 - 1. assign V304962 = V258843 - 1. assign V998276 = V207981 - 1. assign V026709 = V819028 - 1. assign V259884 = V035230 + 1. assign V234703 = V196213 + 1. assign V373764 = V174349. assign V204928 = V174349 + 1. assign V888655 = V789394 - 1. assign V057647 = V156073 - 1. assign V757912 = V212784. assign V613731 = V616854 - 1. assign V606982 = V035230 + 1. assign V114364 = V889951 - 1. assign V156073 = V196213 - 1. assign V889951 = V196213 - 1. assign V975866 = V367929 + 1. assign V995872 = V819028. assign V387369 = V035230 - 1. assign V101082 = V238369 + 1. assign V717924 = V764208 + 1. assign V573126 = V208219 + 1. assign V174349 = V717924 - 1. assign V935095 = V783466. assign V625704 = V633640. assign V789394 = V667634 + 1. assign V076179 = V514207 - 1. assign V312344 = V662138 - 1. assign V086672 = V888655 + 1. assign V633640 = V035230 - 1. assign V464826 = V076179. assign V411392 = V757912 - 1. assign V783466 = V764208. assign V067748 = V208219 - 1. assign V819028 = V297212 + 1. assign V297212 = V196213 + 1. assign V278657 = V015061 + 1. assign V982337 = 6. assign V402525 = V207981. assign V188080 = V430509 + 1. assign V286497 = V204928. assign V271032 = V878508 - 1. assign V208219 = V998276 + 1. assign V514207 = V035230 - 1. assign V367929 = V196213 + 1. assign V258843 = V156073 + 1. assign V598250 = V259884 + 1. assign V103166 = V208219 + 1. assign V860917 = V033716 - 1. assign V777238 = V015061 + 1. assign V616854 = V667634 - 1. assign V384523 = V204928. assign V628139 = V033716 - 1. assign V354834 = V114364. assign V939574 = V367929 + 1. assign V006559 = V975866 - 1. assign V883401 = V889951. assign V214671 = V811863 + 1. assign V491376 = V026709. assign V667634 = V033716 - 1. assign V764208 = V188080. assign V713696 = V312344 - 1. assign V945808 = V889951. assign V148380 = V103166 + 1. assign V389359 = V995872 + 1. assign V849146 = V717924 - 1. assign V087270 = V883401 + 1. assign V035230 = V156073 + 1. assign V015061 = V259884 + 1. assign V662138 = V819028 - 1. assign V430509 = V156073 + 1. assign V093260 = V633640. assign V761403 = V234703 + 1. assign V775788 = V258843. assign V811863 = V188080 + 1. assign V574387 = V188080. assign V033716 = V196213 + 1. assign V577530 = V259884 - 1. assign V477825 = V998276 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V878508 = V628139 + 1. assign V753321 = V889951 - 1. assign V207981 = V196213 - 1. assign V212784 = V035230 - 1. assign V770330 = V196213. assign V921385 = V982337. assign V481815 = V577530 - 1. assign V238369 = V628139 - 1. assign V304962 = V258843 - 1. assign V998276 = V207981 - 1. assign V026709 = V819028 - 1. assign V259884 = V035230 + 1. assign V234703 = V196213 + 1. assign V373764 = V174349. assign V204928 = V174349 + 1. assign V888655 = V789394 - 1. assign V057647 = V156073 - 1. assign V757912 = V212784. assign V613731 = V616854 - 1. assign V606982 = V035230 + 1. assign V114364 = V889951 - 1. assign V156073 = V196213 - 1. assign V889951 = V196213 - 1. assign V975866 = V367929 + 1. assign V995872 = V819028. assign V387369 = V035230 - 1. assign V101082 = V238369 + 1. assign V717924 = V764208 + 1. assign V573126 = V208219 + 1. assign V174349 = V717924 - 1. assign V935095 = V783466. assign V625704 = V633640. assign V789394 = V667634 + 1. assign V076179 = V514207 - 1. assign V312344 = V662138 - 1. assign V086672 = V888655 + 1. assign V633640 = V035230 - 1. assign V464826 = V076179. assign V411392 = V757912 - 1. assign V783466 = V764208. assign V067748 = V208219 - 1. assign V819028 = V297212 + 1. assign V297212 = V196213 + 1. assign V278657 = V015061 + 1. assign V982337 = 6. assign V402525 = V207981. assign V188080 = V430509 + 1. assign V286497 = V204928. assign V271032 = V878508 - 1. assign V208219 = V998276 + 1. assign V514207 = V035230 - 1. assign V367929 = V196213 + 1. assign V258843 = V156073 + 1. assign V598250 = V259884 + 1. assign V103166 = V208219 + 1. assign V860917 = V033716 - 1. assign V777238 = V015061 + 1. assign V616854 = V667634 - 1. assign V384523 = V204928. assign V628139 = V033716 - 1. assign V354834 = V114364. assign V939574 = V367929 + 1. assign V006559 = V975866 - 1. assign V883401 = V889951. assign V214671 = V811863 + 1. assign V491376 = V026709. assign V667634 = V033716 - 1. assign V764208 = V188080. assign V713696 = V312344 - 1. assign V945808 = V889951. assign V148380 = V103166 + 1. assign V389359 = V995872 + 1. assign V849146 = V717924 - 1. assign V087270 = V883401 + 1. assign V035230 = V156073 + 1. assign V015061 = V259884 + 1. assign V662138 = V819028 - 1. assign V430509 = V156073 + 1. assign V093260 = V633640. assign V761403 = V234703 + 1. assign V775788 = V258843. assign V811863 = V188080 + 1. assign V574387 = V188080. assign V033716 = V196213 + 1. assign V577530 = V259884 - 1. assign V477825 = V998276 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV982337 = 6;\n\nFrom these direct assignment(s), we have: \nV921385 = V982337 = 6;\nNo other variables can be derived from V921385;\nNo other variables can be derived from V982337;\n\nNow we have done all the calculations. Derived variables are:\nV982337 = 6;\nV921385 = 6;\n\nNow we have finished this problem. ANSWER:\nV982337, V921385\n", "role": "assistant" } ]

[ "V372405" ]

[ { "content": "<context>\nassign V271416 = V341476 - 1. assign V511467 = V062586 - 1. assign V263022 = V052026 - 1. assign V524076 = V859036. assign V859036 = V004283. assign V341476 = V044554 + 1. assign V741518 = V524076 + 1. assign V171350 = V875715 + 1. assign V876377 = V341476 - 1. assign V251447 = V177144 - 1. assign V333193 = V509456. assign V168833 = V177144 - 1. assign V025416 = V168833 + 1. assign V658816 = V263022. assign V300179 = V612579 - 1. assign V872759 = V044973 - 1. assign V509456 = V820330. assign V044973 = V273968. assign V502952 = V745500. assign V044554 = V168833 - 1. assign V634327 = V473624. assign V122788 = V372405 + 1. assign V744506 = V194083. assign V419565 = V820330 + 1. assign V217282 = V350907 + 1. assign V173976 = V509456. assign V531228 = V217282 - 1. assign V200025 = V062586 - 1. assign V994520 = V369021 + 1. assign V229830 = V217282 + 1. assign V972028 = V627290 + 1. assign V234180 = V047614 - 1. assign V829098 = V999967. assign V745500 = V052026 + 1. assign V999967 = V820330 + 1. assign V345957 = V634327. assign V124491 = V524076. assign V875715 = V741518 - 1. assign V290445 = V999967 + 1. assign V169747 = V345957 - 1. assign V908490 = V875715. assign V273968 = V477364. assign V446289 = V251447 - 1. assign V430145 = V745500. assign V052026 = V820330 - 1. assign V067088 = V783143. assign V177144 = V419565. assign V740740 = V508667 - 1. assign V943379 = V927518. assign V477364 = V999967. assign V612579 = V451708 - 1. assign V473624 = V999967 + 1. assign V680380 = V025416 + 1. assign V083065 = V473624. assign V194083 = V875715 + 1. assign V308025 = V004283 - 1. assign V312644 = V004283. assign V047614 = V251447 - 1. assign V627290 = V217282 - 1. assign V197049 = V341476 - 1. assign V300002 = V477364 - 1. assign V927518 = V419565 + 1. assign V812593 = V044554 + 1. assign V191111 = V447298 + 1. assign V864396 = V263022. assign V367812 = V124491 - 1. assign V001999 = V451708 - 1. assign V997065 = V197049 - 1. assign V447298 = V508667 - 1. assign V810656 = V044973 - 1. assign V062586 = V927518. assign V345814 = V509456 + 1. assign V350907 = V820330 + 1. assign V783143 = V350907. assign V216614 = V509456 + 1. assign V576961 = V872759 + 1. assign V808506 = V052026 + 1. assign V257907 = V859036 - 1. assign V004283 = V820330 - 1. assign V372405 = 10. assign V369021 = V447298 - 1. assign V029179 = V004283. assign V451708 = V177144. assign V489119 = V345814 + 1. assign V508667 = V509456 + 1. assign V108949 = V451708 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V271416 = V341476 - 1. assign V511467 = V062586 - 1. assign V263022 = V052026 - 1. assign V524076 = V859036. assign V859036 = V004283. assign V341476 = V044554 + 1. assign V741518 = V524076 + 1. assign V171350 = V875715 + 1. assign V876377 = V341476 - 1. assign V251447 = V177144 - 1. assign V333193 = V509456. assign V168833 = V177144 - 1. assign V025416 = V168833 + 1. assign V658816 = V263022. assign V300179 = V612579 - 1. assign V872759 = V044973 - 1. assign V509456 = V820330. assign V044973 = V273968. assign V502952 = V745500. assign V044554 = V168833 - 1. assign V634327 = V473624. assign V122788 = V372405 + 1. assign V744506 = V194083. assign V419565 = V820330 + 1. assign V217282 = V350907 + 1. assign V173976 = V509456. assign V531228 = V217282 - 1. assign V200025 = V062586 - 1. assign V994520 = V369021 + 1. assign V229830 = V217282 + 1. assign V972028 = V627290 + 1. assign V234180 = V047614 - 1. assign V829098 = V999967. assign V745500 = V052026 + 1. assign V999967 = V820330 + 1. assign V345957 = V634327. assign V124491 = V524076. assign V875715 = V741518 - 1. assign V290445 = V999967 + 1. assign V169747 = V345957 - 1. assign V908490 = V875715. assign V273968 = V477364. assign V446289 = V251447 - 1. assign V430145 = V745500. assign V052026 = V820330 - 1. assign V067088 = V783143. assign V177144 = V419565. assign V740740 = V508667 - 1. assign V943379 = V927518. assign V477364 = V999967. assign V612579 = V451708 - 1. assign V473624 = V999967 + 1. assign V680380 = V025416 + 1. assign V083065 = V473624. assign V194083 = V875715 + 1. assign V308025 = V004283 - 1. assign V312644 = V004283. assign V047614 = V251447 - 1. assign V627290 = V217282 - 1. assign V197049 = V341476 - 1. assign V300002 = V477364 - 1. assign V927518 = V419565 + 1. assign V812593 = V044554 + 1. assign V191111 = V447298 + 1. assign V864396 = V263022. assign V367812 = V124491 - 1. assign V001999 = V451708 - 1. assign V997065 = V197049 - 1. assign V447298 = V508667 - 1. assign V810656 = V044973 - 1. assign V062586 = V927518. assign V345814 = V509456 + 1. assign V350907 = V820330 + 1. assign V783143 = V350907. assign V216614 = V509456 + 1. assign V576961 = V872759 + 1. assign V808506 = V052026 + 1. assign V257907 = V859036 - 1. assign V004283 = V820330 - 1. assign V372405 = 10. assign V369021 = V447298 - 1. assign V029179 = V004283. assign V451708 = V177144. assign V489119 = V345814 + 1. assign V508667 = V509456 + 1. assign V108949 = V451708 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV372405 = 10;\n\nFrom these direct assignment(s), we have: \nV122788 = V372405 + 1 = 10 + 1 =11;\nNo other variables can be derived from V122788;\nNo other variables can be derived from V372405;\n\nNow we have done all the calculations. Derived variables are:\nV372405 = 10;\nV122788 = 11;\n\nNow we have finished this problem. ANSWER:\nV372405\n", "role": "assistant" } ]

[ "V310797" ]

[ { "content": "<context>\nassign V207946 = V946518 - 1. assign V175071 = V761704. assign V582021 = V264972 - 1. assign V642311 = V715137 - 1. assign V160894 = V582021. assign V408360 = V656995. assign V677550 = V964247. assign V212094 = V220408 - 1. assign V905570 = V040189. assign V205858 = V569497. assign V672148 = V715137 - 1. assign V756267 = V088566. assign V746848 = V239869. assign V375957 = V715137 - 1. assign V950507 = V811300 + 1. assign V818997 = V212094 + 1. assign V569497 = V734032 - 1. assign V009572 = V212094 + 1. assign V163984 = V656995 - 1. assign V527288 = V693158 - 1. assign V960403 = V818997. assign V282027 = V523963 + 1. assign V220408 = V946518 - 1. assign V596827 = V220408 + 1. assign V376186 = V756267 + 1. assign V169593 = V470891. assign V878480 = V569497 - 1. assign V145925 = V169593 + 1. assign V602902 = V082483 + 1. assign V537233 = V310797 - 1. assign V036141 = V656995. assign V264972 = V212094. assign V964247 = V627654 + 1. assign V911945 = V088331. assign V082483 = V569497. assign V724633 = V569497 + 1. assign V826867 = V036141. assign V556569 = V239869 + 1. assign V693158 = V163984. assign V368172 = V036141 - 1. assign V759418 = V628513. assign V701411 = V335296. assign V088566 = V960403 - 1. assign V523963 = V036141 - 1. assign V310797 = 2. assign V130678 = V818997 - 1. assign V171576 = V756267 - 1. assign V613521 = V582021 + 1. assign V397621 = V239869 + 1. assign V464990 = V207946 - 1. assign V523483 = V946518. assign V811300 = V205858 - 1. assign V761704 = V527288. assign V493287 = V960403 - 1. assign V563712 = V656995. assign V611262 = V009572 + 1. assign V249311 = V527288 - 1. assign V493492 = V734032 + 1. assign V673232 = V556569 + 1. assign V470891 = V088566. assign V627654 = V656995 - 1. assign V821979 = V701411 + 1. assign V628513 = V523483 - 1. assign V656995 = V212094. assign V324525 = V756267. assign V552503 = V527288 - 1. assign V934471 = V734032. assign V712706 = V596827 - 1. assign V304650 = V523483 + 1. assign V742443 = V656995. assign V088740 = V304650. assign V088331 = V672148 + 1. assign V961790 = V464990 - 1. assign V455696 = V715137 - 1. assign V019058 = V220408 + 1. assign V715137 = V036141 - 1. assign V822263 = V397621. assign V952314 = V946518 + 1. assign V785846 = V878480 - 1. assign V673283 = V455696. assign V134440 = V818997 + 1. assign V335296 = V582021. assign V220932 = V826867 - 1. assign V040189 = V220408 + 1. assign V239869 = V946518 - 1. assign V734032 = V212094 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V207946 = V946518 - 1. assign V175071 = V761704. assign V582021 = V264972 - 1. assign V642311 = V715137 - 1. assign V160894 = V582021. assign V408360 = V656995. assign V677550 = V964247. assign V212094 = V220408 - 1. assign V905570 = V040189. assign V205858 = V569497. assign V672148 = V715137 - 1. assign V756267 = V088566. assign V746848 = V239869. assign V375957 = V715137 - 1. assign V950507 = V811300 + 1. assign V818997 = V212094 + 1. assign V569497 = V734032 - 1. assign V009572 = V212094 + 1. assign V163984 = V656995 - 1. assign V527288 = V693158 - 1. assign V960403 = V818997. assign V282027 = V523963 + 1. assign V220408 = V946518 - 1. assign V596827 = V220408 + 1. assign V376186 = V756267 + 1. assign V169593 = V470891. assign V878480 = V569497 - 1. assign V145925 = V169593 + 1. assign V602902 = V082483 + 1. assign V537233 = V310797 - 1. assign V036141 = V656995. assign V264972 = V212094. assign V964247 = V627654 + 1. assign V911945 = V088331. assign V082483 = V569497. assign V724633 = V569497 + 1. assign V826867 = V036141. assign V556569 = V239869 + 1. assign V693158 = V163984. assign V368172 = V036141 - 1. assign V759418 = V628513. assign V701411 = V335296. assign V088566 = V960403 - 1. assign V523963 = V036141 - 1. assign V310797 = 2. assign V130678 = V818997 - 1. assign V171576 = V756267 - 1. assign V613521 = V582021 + 1. assign V397621 = V239869 + 1. assign V464990 = V207946 - 1. assign V523483 = V946518. assign V811300 = V205858 - 1. assign V761704 = V527288. assign V493287 = V960403 - 1. assign V563712 = V656995. assign V611262 = V009572 + 1. assign V249311 = V527288 - 1. assign V493492 = V734032 + 1. assign V673232 = V556569 + 1. assign V470891 = V088566. assign V627654 = V656995 - 1. assign V821979 = V701411 + 1. assign V628513 = V523483 - 1. assign V656995 = V212094. assign V324525 = V756267. assign V552503 = V527288 - 1. assign V934471 = V734032. assign V712706 = V596827 - 1. assign V304650 = V523483 + 1. assign V742443 = V656995. assign V088740 = V304650. assign V088331 = V672148 + 1. assign V961790 = V464990 - 1. assign V455696 = V715137 - 1. assign V019058 = V220408 + 1. assign V715137 = V036141 - 1. assign V822263 = V397621. assign V952314 = V946518 + 1. assign V785846 = V878480 - 1. assign V673283 = V455696. assign V134440 = V818997 + 1. assign V335296 = V582021. assign V220932 = V826867 - 1. assign V040189 = V220408 + 1. assign V239869 = V946518 - 1. assign V734032 = V212094 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV310797 = 2;\n\nFrom these direct assignment(s), we have: \nV537233 = V310797 - 1 = 2 - 1 =1;\nNo other variables can be derived from V537233;\nNo other variables can be derived from V310797;\n\nNow we have done all the calculations. Derived variables are:\nV310797 = 2;\nV537233 = 1;\n\nNow we have finished this problem. ANSWER:\nV310797\n", "role": "assistant" } ]

[ "V210385" ]

[ { "content": "<context>\nassign V271740 = V406797. assign V561265 = V894637 - 1. assign V920460 = V482834 - 1. assign V954767 = V214263. assign V380457 = 5. assign V401284 = V628460. assign V210385 = V380457 + 1. assign V814873 = V339685 - 1. assign V452246 = V955593 + 1. assign V998025 = V065771. assign V525222 = V291489. assign V426065 = V613096 - 1. assign V482834 = V472841 - 1. assign V919095 = V894637. assign V589661 = V044706. assign V406797 = V472841. assign V083616 = V960545 + 1. assign V221598 = V584980 - 1. assign V037698 = V472841 + 1. assign V810438 = V752145 + 1. assign V285749 = V562991. assign V869972 = V886345. assign V955593 = V947928 + 1. assign V264573 = V869972 - 1. assign V574988 = V065771 + 1. assign V383243 = V666945 + 1. assign V423781 = V589661. assign V888389 = V065771. assign V428553 = V406797 - 1. assign V664921 = V383243 + 1. assign V146528 = V339685 + 1. assign V418053 = V814873 - 1. assign V504673 = V858040. assign V666945 = V731013. assign V025497 = V561265. assign V521836 = V752145 + 1. assign V808970 = V264573. assign V858040 = V731013. assign V506003 = V589661 + 1. assign V628460 = V892843 - 1. assign V673927 = V731013. assign V613096 = V858040 + 1. assign V734479 = V643115. assign V416756 = V731013. assign V218297 = V613096 + 1. assign V960545 = V886345 - 1. assign V275662 = V734479 + 1. assign V081493 = V472841 + 1. assign V472841 = V731013 - 1. assign V886345 = V666945 - 1. assign V951590 = V312161 - 1. assign V534478 = V518395. assign V555118 = V518395 - 1. assign V947928 = V858040. assign V109233 = V752145 - 1. assign V291489 = V673927. assign V746334 = V406797 + 1. assign V312161 = V426065 - 1. assign V892843 = V490147 - 1. assign V477939 = V401284. assign V646427 = V664921. assign V643115 = V892843. assign V372005 = V534478 - 1. assign V198606 = V555118 + 1. assign V852544 = V472841 - 1. assign V044706 = V372005. assign V392363 = V214263 + 1. assign V584980 = V339685. assign V640195 = V406797. assign V518395 = V731013 - 1. assign V894637 = V534478. assign V065771 = V666945 + 1. assign V023238 = V198606 - 1. assign V127849 = V291489. assign V092309 = V628460 - 1. assign V214263 = V886345. assign V562991 = V109233. assign V040506 = V858040 + 1. assign V631521 = V810438 - 1. assign V339685 = V666945 - 1. assign V445895 = V947928 + 1. assign V752145 = V518395. assign V651252 = V852544. assign V085138 = V808970 + 1. assign V490147 = V383243 - 1. assign V371856 = V651252.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V271740 = V406797. assign V561265 = V894637 - 1. assign V920460 = V482834 - 1. assign V954767 = V214263. assign V380457 = 5. assign V401284 = V628460. assign V210385 = V380457 + 1. assign V814873 = V339685 - 1. assign V452246 = V955593 + 1. assign V998025 = V065771. assign V525222 = V291489. assign V426065 = V613096 - 1. assign V482834 = V472841 - 1. assign V919095 = V894637. assign V589661 = V044706. assign V406797 = V472841. assign V083616 = V960545 + 1. assign V221598 = V584980 - 1. assign V037698 = V472841 + 1. assign V810438 = V752145 + 1. assign V285749 = V562991. assign V869972 = V886345. assign V955593 = V947928 + 1. assign V264573 = V869972 - 1. assign V574988 = V065771 + 1. assign V383243 = V666945 + 1. assign V423781 = V589661. assign V888389 = V065771. assign V428553 = V406797 - 1. assign V664921 = V383243 + 1. assign V146528 = V339685 + 1. assign V418053 = V814873 - 1. assign V504673 = V858040. assign V666945 = V731013. assign V025497 = V561265. assign V521836 = V752145 + 1. assign V808970 = V264573. assign V858040 = V731013. assign V506003 = V589661 + 1. assign V628460 = V892843 - 1. assign V673927 = V731013. assign V613096 = V858040 + 1. assign V734479 = V643115. assign V416756 = V731013. assign V218297 = V613096 + 1. assign V960545 = V886345 - 1. assign V275662 = V734479 + 1. assign V081493 = V472841 + 1. assign V472841 = V731013 - 1. assign V886345 = V666945 - 1. assign V951590 = V312161 - 1. assign V534478 = V518395. assign V555118 = V518395 - 1. assign V947928 = V858040. assign V109233 = V752145 - 1. assign V291489 = V673927. assign V746334 = V406797 + 1. assign V312161 = V426065 - 1. assign V892843 = V490147 - 1. assign V477939 = V401284. assign V646427 = V664921. assign V643115 = V892843. assign V372005 = V534478 - 1. assign V198606 = V555118 + 1. assign V852544 = V472841 - 1. assign V044706 = V372005. assign V392363 = V214263 + 1. assign V584980 = V339685. assign V640195 = V406797. assign V518395 = V731013 - 1. assign V894637 = V534478. assign V065771 = V666945 + 1. assign V023238 = V198606 - 1. assign V127849 = V291489. assign V092309 = V628460 - 1. assign V214263 = V886345. assign V562991 = V109233. assign V040506 = V858040 + 1. assign V631521 = V810438 - 1. assign V339685 = V666945 - 1. assign V445895 = V947928 + 1. assign V752145 = V518395. assign V651252 = V852544. assign V085138 = V808970 + 1. assign V490147 = V383243 - 1. assign V371856 = V651252.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV380457 = 5;\n\nFrom these direct assignment(s), we have: \nV210385 = V380457 + 1 = 5 + 1 =6;\nNo other variables can be derived from V210385;\nNo other variables can be derived from V380457;\n\nNow we have done all the calculations. Derived variables are:\nV380457 = 5;\nV210385 = 6;\n\nNow we have finished this problem. ANSWER:\nV210385\n", "role": "assistant" } ]

[ "V900398", "V301396" ]

[ { "content": "<context>\nassign V957536 = V230731. assign V098616 = V005840 - 1. assign V165098 = V138903 + 1. assign V996077 = V692185. assign V908579 = V351630 + 1. assign V400177 = V255323. assign V546130 = V165098 - 1. assign V320560 = V668971 + 1. assign V283233 = V378814. assign V161420 = V623853 + 1. assign V159132 = V277438. assign V518384 = V181111 - 1. assign V713413 = V838583 + 1. assign V392398 = V391696. assign V671654 = V320560 - 1. assign V364590 = V264474 - 1. assign V429756 = V392398 - 1. assign V857249 = V264474 + 1. assign V378814 = V964074. assign V619391 = V623853. assign V053502 = V378814. assign V900398 = 2. assign V301396 = V900398. assign V314212 = V619391. assign V964074 = V841655. assign V331793 = V264474 + 1. assign V559519 = V351630 - 1. assign V970629 = V561999. assign V451620 = V429756 + 1. assign V755306 = V561999. assign V255323 = V391696 - 1. assign V841655 = V794621. assign V483121 = V255323. assign V557646 = V619391. assign V766060 = V391696. assign V726537 = V908579 - 1. assign V720873 = V557646 - 1. assign V862161 = V181111 - 1. assign V600422 = V794621. assign V909168 = V430235. assign V993453 = V400177 + 1. assign V409640 = V424544 + 1. assign V391696 = V794621 + 1. assign V977667 = V906239 - 1. assign V692185 = V964074 + 1. assign V264474 = V430235 - 1. assign V634888 = V964074. assign V906239 = V181111 - 1. assign V646111 = V430235 - 1. assign V080590 = V181111. assign V230731 = V619391. assign V138903 = V668971. assign V309064 = V181111 - 1. assign V668971 = V794621 + 1. assign V715765 = V908579. assign V713161 = V230731. assign V624515 = V786072 + 1. assign V833839 = V392398 + 1. assign V181111 = V351630 - 1. assign V561999 = V364590 + 1. assign V921724 = V533306. assign V337013 = V098616. assign V838583 = V272872 - 1. assign V005840 = V161420 + 1. assign V570349 = V964074. assign V724156 = V060255. assign V272872 = V161420. assign V449849 = V053502. assign V885738 = V743682 - 1. assign V430235 = V668971. assign V533306 = V364590. assign V060255 = V794621 + 1. assign V533207 = V634888 - 1. assign V626594 = V841655. assign V052087 = V964074 + 1. assign V424544 = V161420 - 1. assign V277438 = V623853 + 1. assign V743682 = V331793 - 1. assign V351630 = V794621 - 1. assign V844821 = V715765 - 1. assign V786072 = V794621. assign V368988 = V272872 - 1. assign V794621 = V623853. assign V822306 = V165098. assign V540277 = V841655 + 1. assign V141733 = V314212.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V957536 = V230731. assign V098616 = V005840 - 1. assign V165098 = V138903 + 1. assign V996077 = V692185. assign V908579 = V351630 + 1. assign V400177 = V255323. assign V546130 = V165098 - 1. assign V320560 = V668971 + 1. assign V283233 = V378814. assign V161420 = V623853 + 1. assign V159132 = V277438. assign V518384 = V181111 - 1. assign V713413 = V838583 + 1. assign V392398 = V391696. assign V671654 = V320560 - 1. assign V364590 = V264474 - 1. assign V429756 = V392398 - 1. assign V857249 = V264474 + 1. assign V378814 = V964074. assign V619391 = V623853. assign V053502 = V378814. assign V900398 = 2. assign V301396 = V900398. assign V314212 = V619391. assign V964074 = V841655. assign V331793 = V264474 + 1. assign V559519 = V351630 - 1. assign V970629 = V561999. assign V451620 = V429756 + 1. assign V755306 = V561999. assign V255323 = V391696 - 1. assign V841655 = V794621. assign V483121 = V255323. assign V557646 = V619391. assign V766060 = V391696. assign V726537 = V908579 - 1. assign V720873 = V557646 - 1. assign V862161 = V181111 - 1. assign V600422 = V794621. assign V909168 = V430235. assign V993453 = V400177 + 1. assign V409640 = V424544 + 1. assign V391696 = V794621 + 1. assign V977667 = V906239 - 1. assign V692185 = V964074 + 1. assign V264474 = V430235 - 1. assign V634888 = V964074. assign V906239 = V181111 - 1. assign V646111 = V430235 - 1. assign V080590 = V181111. assign V230731 = V619391. assign V138903 = V668971. assign V309064 = V181111 - 1. assign V668971 = V794621 + 1. assign V715765 = V908579. assign V713161 = V230731. assign V624515 = V786072 + 1. assign V833839 = V392398 + 1. assign V181111 = V351630 - 1. assign V561999 = V364590 + 1. assign V921724 = V533306. assign V337013 = V098616. assign V838583 = V272872 - 1. assign V005840 = V161420 + 1. assign V570349 = V964074. assign V724156 = V060255. assign V272872 = V161420. assign V449849 = V053502. assign V885738 = V743682 - 1. assign V430235 = V668971. assign V533306 = V364590. assign V060255 = V794621 + 1. assign V533207 = V634888 - 1. assign V626594 = V841655. assign V052087 = V964074 + 1. assign V424544 = V161420 - 1. assign V277438 = V623853 + 1. assign V743682 = V331793 - 1. assign V351630 = V794621 - 1. assign V844821 = V715765 - 1. assign V786072 = V794621. assign V368988 = V272872 - 1. assign V794621 = V623853. assign V822306 = V165098. assign V540277 = V841655 + 1. assign V141733 = V314212.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV900398 = 2;\n\nFrom these direct assignment(s), we have: \nV301396 = V900398 = 2;\nNo other variables can be derived from V301396;\nNo other variables can be derived from V900398;\n\nNow we have done all the calculations. Derived variables are:\nV900398 = 2;\nV301396 = 2;\n\nNow we have finished this problem. ANSWER:\nV900398, V301396\n", "role": "assistant" } ]

[ "V777711", "V109843" ]

[ { "content": "<context>\nassign V711797 = V157397. assign V426963 = V620478. assign V828868 = V774355 + 1. assign V595483 = V422959 - 1. assign V058258 = V461935. assign V237689 = V082047 - 1. assign V107822 = V720978. assign V759875 = V199393 - 1. assign V787218 = V414428 + 1. assign V855159 = V848443 - 1. assign V199393 = V866694 + 1. assign V720978 = V461935 + 1. assign V865176 = V058258 + 1. assign V632845 = V409200 + 1. assign V136749 = V331040 + 1. assign V082047 = V895660 + 1. assign V569288 = V157397 - 1. assign V971362 = V867771. assign V800402 = V187981. assign V113674 = V157397 + 1. assign V345125 = V740011. assign V209626 = V787218 + 1. assign V918614 = V720978 + 1. assign V475296 = V718528 - 1. assign V138007 = V331040 + 1. assign V941963 = V426963 - 1. assign V785763 = V004512. assign V777711 = 0. assign V840415 = V136749. assign V357515 = V959967. assign V715290 = V720978. assign V718528 = V280810 - 1. assign V359008 = V461935. assign V220982 = V959967. assign V993367 = V620478. assign V473232 = V740011 - 1. assign V187981 = V694192 + 1. assign V380952 = V866694 + 1. assign V189485 = V720978 - 1. assign V199038 = V220982. assign V601656 = V687978 - 1. assign V341400 = V004512. assign V414428 = V866694. assign V422959 = V157397 + 1. assign V331040 = V107822 + 1. assign V733962 = V359008. assign V904208 = V387306 + 1. assign V376706 = V694192 + 1. assign V395137 = V001659 + 1. assign V107327 = V357515. assign V485558 = V620478 - 1. assign V741595 = V357515. assign V774355 = V004512. assign V323887 = V136749. assign V157397 = V414428 - 1. assign V601638 = V414428. assign V239222 = V334983 - 1. assign V811092 = V280810 - 1. assign V387306 = V380952 - 1. assign V358506 = V359008 - 1. assign V001659 = V157397. assign V609938 = V895660. assign V395056 = V380952 + 1. assign V740011 = V414428 - 1. assign V280810 = V959967 + 1. assign V840140 = V569288 + 1. assign V109843 = V777711. assign V848443 = V461935 + 1. assign V334983 = V904208 + 1. assign V867771 = V058258 - 1. assign V866694 = V461935 + 1. assign V694192 = V720978 + 1. assign V153836 = V866694 + 1. assign V290387 = V866694 - 1. assign V406085 = V209626 - 1. assign V764796 = V620478. assign V323182 = V107327 - 1. assign V959967 = V740011. assign V085816 = V157397 + 1. assign V468937 = V733962 - 1. assign V004512 = V866694 - 1. assign V620478 = V866694 + 1. assign V010380 = V811092. assign V895660 = V001659. assign V409200 = V720978 - 1. assign V687978 = V741595 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V711797 = V157397. assign V426963 = V620478. assign V828868 = V774355 + 1. assign V595483 = V422959 - 1. assign V058258 = V461935. assign V237689 = V082047 - 1. assign V107822 = V720978. assign V759875 = V199393 - 1. assign V787218 = V414428 + 1. assign V855159 = V848443 - 1. assign V199393 = V866694 + 1. assign V720978 = V461935 + 1. assign V865176 = V058258 + 1. assign V632845 = V409200 + 1. assign V136749 = V331040 + 1. assign V082047 = V895660 + 1. assign V569288 = V157397 - 1. assign V971362 = V867771. assign V800402 = V187981. assign V113674 = V157397 + 1. assign V345125 = V740011. assign V209626 = V787218 + 1. assign V918614 = V720978 + 1. assign V475296 = V718528 - 1. assign V138007 = V331040 + 1. assign V941963 = V426963 - 1. assign V785763 = V004512. assign V777711 = 0. assign V840415 = V136749. assign V357515 = V959967. assign V715290 = V720978. assign V718528 = V280810 - 1. assign V359008 = V461935. assign V220982 = V959967. assign V993367 = V620478. assign V473232 = V740011 - 1. assign V187981 = V694192 + 1. assign V380952 = V866694 + 1. assign V189485 = V720978 - 1. assign V199038 = V220982. assign V601656 = V687978 - 1. assign V341400 = V004512. assign V414428 = V866694. assign V422959 = V157397 + 1. assign V331040 = V107822 + 1. assign V733962 = V359008. assign V904208 = V387306 + 1. assign V376706 = V694192 + 1. assign V395137 = V001659 + 1. assign V107327 = V357515. assign V485558 = V620478 - 1. assign V741595 = V357515. assign V774355 = V004512. assign V323887 = V136749. assign V157397 = V414428 - 1. assign V601638 = V414428. assign V239222 = V334983 - 1. assign V811092 = V280810 - 1. assign V387306 = V380952 - 1. assign V358506 = V359008 - 1. assign V001659 = V157397. assign V609938 = V895660. assign V395056 = V380952 + 1. assign V740011 = V414428 - 1. assign V280810 = V959967 + 1. assign V840140 = V569288 + 1. assign V109843 = V777711. assign V848443 = V461935 + 1. assign V334983 = V904208 + 1. assign V867771 = V058258 - 1. assign V866694 = V461935 + 1. assign V694192 = V720978 + 1. assign V153836 = V866694 + 1. assign V290387 = V866694 - 1. assign V406085 = V209626 - 1. assign V764796 = V620478. assign V323182 = V107327 - 1. assign V959967 = V740011. assign V085816 = V157397 + 1. assign V468937 = V733962 - 1. assign V004512 = V866694 - 1. assign V620478 = V866694 + 1. assign V010380 = V811092. assign V895660 = V001659. assign V409200 = V720978 - 1. assign V687978 = V741595 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV777711 = 0;\n\nFrom these direct assignment(s), we have: \nV109843 = V777711 = 0;\nNo other variables can be derived from V109843;\nNo other variables can be derived from V777711;\n\nNow we have done all the calculations. Derived variables are:\nV777711 = 0;\nV109843 = 0;\n\nNow we have finished this problem. ANSWER:\nV777711, V109843\n", "role": "assistant" } ]

[ "V582905", "V245854" ]

[ { "content": "<context>\nassign V378917 = V992425 + 1. assign V169309 = V334352 + 1. assign V815728 = V417851 - 1. assign V090838 = V057774 - 1. assign V115988 = V404194 - 1. assign V810181 = V992425 + 1. assign V057774 = V942316 - 1. assign V536100 = V638095 + 1. assign V245854 = V582905. assign V452340 = V319208 - 1. assign V432052 = V053304 + 1. assign V186157 = V093415 - 1. assign V831030 = V872658 + 1. assign V411968 = V493404 + 1. assign V233940 = V201677 + 1. assign V195499 = V417851. assign V742028 = V749456. assign V582905 = 3. assign V804970 = V872658. assign V754409 = V201677 - 1. assign V700510 = V053304. assign V835716 = V233940. assign V926784 = V053304 - 1. assign V966416 = V432052 + 1. assign V438292 = V065225 + 1. assign V493404 = V942316 + 1. assign V138718 = V233940 - 1. assign V734150 = V093415 + 1. assign V838595 = V468823. assign V962192 = V452340 + 1. assign V049730 = V432052 + 1. assign V209182 = V656020 - 1. assign V238773 = V201677 + 1. assign V404194 = V493404 - 1. assign V455559 = V514937 + 1. assign V760411 = V065225 - 1. assign V705034 = V209182. assign V479932 = V848774. assign V417851 = V749456 + 1. assign V794155 = V831030 - 1. assign V756146 = V666824 + 1. assign V093415 = V493404. assign V217333 = V452340 - 1. assign V676137 = V328082 - 1. assign V127274 = V209182 - 1. assign V546182 = V009778 + 1. assign V607154 = V493404. assign V178581 = V462619 + 1. assign V201677 = V942316. assign V777084 = V065225 - 1. assign V905299 = V666824 + 1. assign V893760 = V760411 - 1. assign V013181 = V201677. assign V683210 = V831030. assign V998751 = V053304 - 1. assign V334352 = V404194. assign V848774 = V872658 + 1. assign V656020 = V493404 + 1. assign V294651 = V966416. assign V749456 = V656020. assign V390729 = V749456 + 1. assign V677672 = V328082 + 1. assign V856380 = V049730 + 1. assign V089144 = V319208 - 1. assign V842167 = V209182 + 1. assign V053304 = V942316 - 1. assign V319208 = V749456 + 1. assign V666824 = V328082 - 1. assign V462619 = V127274 + 1. assign V872658 = V065225. assign V009778 = V093415 + 1. assign V468823 = V742028. assign V587768 = V607154 + 1. assign V065225 = V404194 - 1. assign V612205 = V656020. assign V412734 = V682963 + 1. assign V514937 = V966416 - 1. assign V770501 = V462619. assign V992425 = V065225 - 1. assign V901942 = V607154. assign V682963 = V089144 - 1. assign V328082 = V404194 - 1. assign V404035 = V186157 + 1. assign V656577 = V804970 + 1. assign V638095 = V700510. assign V634855 = V638095.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V378917 = V992425 + 1. assign V169309 = V334352 + 1. assign V815728 = V417851 - 1. assign V090838 = V057774 - 1. assign V115988 = V404194 - 1. assign V810181 = V992425 + 1. assign V057774 = V942316 - 1. assign V536100 = V638095 + 1. assign V245854 = V582905. assign V452340 = V319208 - 1. assign V432052 = V053304 + 1. assign V186157 = V093415 - 1. assign V831030 = V872658 + 1. assign V411968 = V493404 + 1. assign V233940 = V201677 + 1. assign V195499 = V417851. assign V742028 = V749456. assign V582905 = 3. assign V804970 = V872658. assign V754409 = V201677 - 1. assign V700510 = V053304. assign V835716 = V233940. assign V926784 = V053304 - 1. assign V966416 = V432052 + 1. assign V438292 = V065225 + 1. assign V493404 = V942316 + 1. assign V138718 = V233940 - 1. assign V734150 = V093415 + 1. assign V838595 = V468823. assign V962192 = V452340 + 1. assign V049730 = V432052 + 1. assign V209182 = V656020 - 1. assign V238773 = V201677 + 1. assign V404194 = V493404 - 1. assign V455559 = V514937 + 1. assign V760411 = V065225 - 1. assign V705034 = V209182. assign V479932 = V848774. assign V417851 = V749456 + 1. assign V794155 = V831030 - 1. assign V756146 = V666824 + 1. assign V093415 = V493404. assign V217333 = V452340 - 1. assign V676137 = V328082 - 1. assign V127274 = V209182 - 1. assign V546182 = V009778 + 1. assign V607154 = V493404. assign V178581 = V462619 + 1. assign V201677 = V942316. assign V777084 = V065225 - 1. assign V905299 = V666824 + 1. assign V893760 = V760411 - 1. assign V013181 = V201677. assign V683210 = V831030. assign V998751 = V053304 - 1. assign V334352 = V404194. assign V848774 = V872658 + 1. assign V656020 = V493404 + 1. assign V294651 = V966416. assign V749456 = V656020. assign V390729 = V749456 + 1. assign V677672 = V328082 + 1. assign V856380 = V049730 + 1. assign V089144 = V319208 - 1. assign V842167 = V209182 + 1. assign V053304 = V942316 - 1. assign V319208 = V749456 + 1. assign V666824 = V328082 - 1. assign V462619 = V127274 + 1. assign V872658 = V065225. assign V009778 = V093415 + 1. assign V468823 = V742028. assign V587768 = V607154 + 1. assign V065225 = V404194 - 1. assign V612205 = V656020. assign V412734 = V682963 + 1. assign V514937 = V966416 - 1. assign V770501 = V462619. assign V992425 = V065225 - 1. assign V901942 = V607154. assign V682963 = V089144 - 1. assign V328082 = V404194 - 1. assign V404035 = V186157 + 1. assign V656577 = V804970 + 1. assign V638095 = V700510. assign V634855 = V638095.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV582905 = 3;\n\nFrom these direct assignment(s), we have: \nV245854 = V582905 = 3;\nNo other variables can be derived from V245854;\nNo other variables can be derived from V582905;\n\nNow we have done all the calculations. Derived variables are:\nV582905 = 3;\nV245854 = 3;\n\nNow we have finished this problem. ANSWER:\nV582905, V245854\n", "role": "assistant" } ]

[ "V391512", "V028097" ]

[ { "content": "<context>\nassign V028097 = V391512. assign V406620 = V887738. assign V631460 = V672231. assign V228058 = V887738. assign V044247 = V223553 - 1. assign V810899 = V416590 + 1. assign V592419 = V959690. assign V276310 = V179393 - 1. assign V614600 = V472914 + 1. assign V308996 = V323754 + 1. assign V317491 = V179393 + 1. assign V563977 = V718615 + 1. assign V028067 = V385671 - 1. assign V959690 = V179393. assign V571426 = V673363. assign V121251 = V801837. assign V036662 = V837217 + 1. assign V887738 = V317491 - 1. assign V474554 = V054431. assign V012367 = V901861 - 1. assign V903757 = V179393. assign V042446 = V672231 + 1. assign V399025 = V054431 + 1. assign V355303 = V179393 - 1. assign V870808 = V420798 + 1. assign V673363 = V317491 - 1. assign V999768 = V869303 + 1. assign V241318 = V416590 + 1. assign V498395 = V042446. assign V150898 = V901861 + 1. assign V019820 = V673363. assign V043197 = V472914. assign V510887 = V810899. assign V603986 = V472914. assign V416590 = V903757. assign V338141 = V980876 - 1. assign V463494 = V323754 + 1. assign V738146 = V042446 + 1. assign V855474 = V179393 - 1. assign V755526 = V042446 + 1. assign V385671 = V980876. assign V992969 = V887738. assign V053159 = V959690 + 1. assign V705153 = V672231 - 1. assign V508997 = V412596 - 1. assign V223553 = V705153 - 1. assign V980876 = V355303. assign V869303 = V412596. assign V801837 = V474554 - 1. assign V430881 = V980876 - 1. assign V398997 = V406620 + 1. assign V269263 = V901861 - 1. assign V418886 = V676552 - 1. assign V323754 = V043197 - 1. assign V280549 = V179393. assign V357972 = V412596 + 1. assign V316678 = V179393 + 1. assign V555184 = V280549 + 1. assign V420798 = V121251 - 1. assign V718615 = V406620 + 1. assign V901861 = V837217. assign V472914 = V179393. assign V322854 = V179393. assign V866334 = V269263 - 1. assign V739601 = V323754. assign V391512 = 9. assign V033645 = V959690 + 1. assign V780215 = V866334 + 1. assign V295941 = V887738 + 1. assign V837217 = V903757 - 1. assign V278777 = V837217 + 1. assign V946993 = V614600 + 1. assign V412596 = V472914 + 1. assign V175363 = V980876. assign V538129 = V901861 - 1. assign V054431 = V631460 + 1. assign V642530 = V416590 + 1. assign V289163 = V295941. assign V248572 = V054431. assign V755144 = V289163 - 1. assign V883487 = V150898. assign V638341 = V946993 + 1. assign V204790 = V901861. assign V672231 = V472914 - 1. assign V676552 = V603986 + 1. assign V699841 = V204790 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V028097 = V391512. assign V406620 = V887738. assign V631460 = V672231. assign V228058 = V887738. assign V044247 = V223553 - 1. assign V810899 = V416590 + 1. assign V592419 = V959690. assign V276310 = V179393 - 1. assign V614600 = V472914 + 1. assign V308996 = V323754 + 1. assign V317491 = V179393 + 1. assign V563977 = V718615 + 1. assign V028067 = V385671 - 1. assign V959690 = V179393. assign V571426 = V673363. assign V121251 = V801837. assign V036662 = V837217 + 1. assign V887738 = V317491 - 1. assign V474554 = V054431. assign V012367 = V901861 - 1. assign V903757 = V179393. assign V042446 = V672231 + 1. assign V399025 = V054431 + 1. assign V355303 = V179393 - 1. assign V870808 = V420798 + 1. assign V673363 = V317491 - 1. assign V999768 = V869303 + 1. assign V241318 = V416590 + 1. assign V498395 = V042446. assign V150898 = V901861 + 1. assign V019820 = V673363. assign V043197 = V472914. assign V510887 = V810899. assign V603986 = V472914. assign V416590 = V903757. assign V338141 = V980876 - 1. assign V463494 = V323754 + 1. assign V738146 = V042446 + 1. assign V855474 = V179393 - 1. assign V755526 = V042446 + 1. assign V385671 = V980876. assign V992969 = V887738. assign V053159 = V959690 + 1. assign V705153 = V672231 - 1. assign V508997 = V412596 - 1. assign V223553 = V705153 - 1. assign V980876 = V355303. assign V869303 = V412596. assign V801837 = V474554 - 1. assign V430881 = V980876 - 1. assign V398997 = V406620 + 1. assign V269263 = V901861 - 1. assign V418886 = V676552 - 1. assign V323754 = V043197 - 1. assign V280549 = V179393. assign V357972 = V412596 + 1. assign V316678 = V179393 + 1. assign V555184 = V280549 + 1. assign V420798 = V121251 - 1. assign V718615 = V406620 + 1. assign V901861 = V837217. assign V472914 = V179393. assign V322854 = V179393. assign V866334 = V269263 - 1. assign V739601 = V323754. assign V391512 = 9. assign V033645 = V959690 + 1. assign V780215 = V866334 + 1. assign V295941 = V887738 + 1. assign V837217 = V903757 - 1. assign V278777 = V837217 + 1. assign V946993 = V614600 + 1. assign V412596 = V472914 + 1. assign V175363 = V980876. assign V538129 = V901861 - 1. assign V054431 = V631460 + 1. assign V642530 = V416590 + 1. assign V289163 = V295941. assign V248572 = V054431. assign V755144 = V289163 - 1. assign V883487 = V150898. assign V638341 = V946993 + 1. assign V204790 = V901861. assign V672231 = V472914 - 1. assign V676552 = V603986 + 1. assign V699841 = V204790 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV391512 = 9;\n\nFrom these direct assignment(s), we have: \nV028097 = V391512 = 9;\nNo other variables can be derived from V028097;\nNo other variables can be derived from V391512;\n\nNow we have done all the calculations. Derived variables are:\nV391512 = 9;\nV028097 = 9;\n\nNow we have finished this problem. ANSWER:\nV391512, V028097\n", "role": "assistant" } ]

[ "V028669" ]

[ { "content": "<context>\nassign V674487 = V859769 + 1. assign V100330 = V442129 - 1. assign V537221 = V986455 + 1. assign V947579 = V115937 - 1. assign V492011 = V262678 - 1. assign V131353 = V763191. assign V553689 = V928393 - 1. assign V986455 = V469266. assign V000545 = V573579 - 1. assign V241386 = V492011 - 1. assign V931628 = V322285 + 1. assign V604083 = V331862. assign V860552 = V965332. assign V795981 = V015765 + 1. assign V939747 = V573579 + 1. assign V209657 = V763191. assign V262678 = V209657 - 1. assign V672130 = V209657 + 1. assign V119341 = V188471 + 1. assign V015765 = V965332 + 1. assign V634849 = V603551 - 1. assign V693499 = V932434 + 1. assign V987424 = V442129 - 1. assign V469266 = V634849 + 1. assign V916416 = V262678. assign V604208 = 7. assign V754828 = V672130 - 1. assign V133754 = V492011. assign V859769 = V763191. assign V875292 = V594801. assign V953437 = V188471 - 1. assign V413511 = V672130. assign V121975 = V119341 + 1. assign V571124 = V634849 + 1. assign V693817 = V131353. assign V928605 = V953437 - 1. assign V204118 = V859769 - 1. assign V965332 = V131353 + 1. assign V681614 = V015765 - 1. assign V115937 = V338053 - 1. assign V643034 = V763191 + 1. assign V181058 = V603551 - 1. assign V338053 = V492011 - 1. assign V310833 = V932434. assign V053238 = V338053 + 1. assign V612870 = V421036 + 1. assign V255691 = V014875 + 1. assign V932434 = V939747. assign V118395 = V931628. assign V525032 = V969461. assign V849001 = V754828 - 1. assign V957793 = V928605. assign V442129 = V204118 - 1. assign V049892 = V603551 + 1. assign V453950 = V331862. assign V893562 = V289424 - 1. assign V436463 = V119341 - 1. assign V547721 = V442129 - 1. assign V477051 = V338053 + 1. assign V573579 = V262678 - 1. assign V969461 = V603551. assign V488423 = V125021. assign V156881 = V119341 - 1. assign V092116 = V022444 + 1. assign V800249 = V603551. assign V191456 = V537221. assign V929476 = V092116 + 1. assign V976503 = V181058 - 1. assign V635119 = V188471 + 1. assign V264943 = V916416 - 1. assign V421036 = V859769. assign V022444 = V763191 + 1. assign V594801 = V262678. assign V553239 = V049892 + 1. assign V603551 = V022444. assign V178490 = V289424. assign V883760 = V119341 - 1. assign V125021 = V795981. assign V289424 = V121975 - 1. assign V188471 = V859769 + 1. assign V028669 = V604208 + 1. assign V014875 = V976503. assign V331862 = V594801 - 1. assign V322285 = V092116 + 1. assign V928393 = V413511. assign V691795 = V932434.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V674487 = V859769 + 1. assign V100330 = V442129 - 1. assign V537221 = V986455 + 1. assign V947579 = V115937 - 1. assign V492011 = V262678 - 1. assign V131353 = V763191. assign V553689 = V928393 - 1. assign V986455 = V469266. assign V000545 = V573579 - 1. assign V241386 = V492011 - 1. assign V931628 = V322285 + 1. assign V604083 = V331862. assign V860552 = V965332. assign V795981 = V015765 + 1. assign V939747 = V573579 + 1. assign V209657 = V763191. assign V262678 = V209657 - 1. assign V672130 = V209657 + 1. assign V119341 = V188471 + 1. assign V015765 = V965332 + 1. assign V634849 = V603551 - 1. assign V693499 = V932434 + 1. assign V987424 = V442129 - 1. assign V469266 = V634849 + 1. assign V916416 = V262678. assign V604208 = 7. assign V754828 = V672130 - 1. assign V133754 = V492011. assign V859769 = V763191. assign V875292 = V594801. assign V953437 = V188471 - 1. assign V413511 = V672130. assign V121975 = V119341 + 1. assign V571124 = V634849 + 1. assign V693817 = V131353. assign V928605 = V953437 - 1. assign V204118 = V859769 - 1. assign V965332 = V131353 + 1. assign V681614 = V015765 - 1. assign V115937 = V338053 - 1. assign V643034 = V763191 + 1. assign V181058 = V603551 - 1. assign V338053 = V492011 - 1. assign V310833 = V932434. assign V053238 = V338053 + 1. assign V612870 = V421036 + 1. assign V255691 = V014875 + 1. assign V932434 = V939747. assign V118395 = V931628. assign V525032 = V969461. assign V849001 = V754828 - 1. assign V957793 = V928605. assign V442129 = V204118 - 1. assign V049892 = V603551 + 1. assign V453950 = V331862. assign V893562 = V289424 - 1. assign V436463 = V119341 - 1. assign V547721 = V442129 - 1. assign V477051 = V338053 + 1. assign V573579 = V262678 - 1. assign V969461 = V603551. assign V488423 = V125021. assign V156881 = V119341 - 1. assign V092116 = V022444 + 1. assign V800249 = V603551. assign V191456 = V537221. assign V929476 = V092116 + 1. assign V976503 = V181058 - 1. assign V635119 = V188471 + 1. assign V264943 = V916416 - 1. assign V421036 = V859769. assign V022444 = V763191 + 1. assign V594801 = V262678. assign V553239 = V049892 + 1. assign V603551 = V022444. assign V178490 = V289424. assign V883760 = V119341 - 1. assign V125021 = V795981. assign V289424 = V121975 - 1. assign V188471 = V859769 + 1. assign V028669 = V604208 + 1. assign V014875 = V976503. assign V331862 = V594801 - 1. assign V322285 = V092116 + 1. assign V928393 = V413511. assign V691795 = V932434.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV604208 = 7;\n\nFrom these direct assignment(s), we have: \nV028669 = V604208 + 1 = 7 + 1 =8;\nNo other variables can be derived from V028669;\nNo other variables can be derived from V604208;\n\nNow we have done all the calculations. Derived variables are:\nV604208 = 7;\nV028669 = 8;\n\nNow we have finished this problem. ANSWER:\nV028669\n", "role": "assistant" } ]

[ "V234125", "V446236" ]

[ { "content": "<context>\nassign V245063 = V733886. assign V170408 = V957720 + 1. assign V876761 = V525362 + 1. assign V695542 = V586701 - 1. assign V809339 = V130075 + 1. assign V054610 = V130075 + 1. assign V791808 = V636455 - 1. assign V428048 = V733886. assign V492324 = V720341 + 1. assign V218585 = V615269. assign V400140 = V705549. assign V705458 = V876761 + 1. assign V957720 = V659125 + 1. assign V948980 = V130075 + 1. assign V636455 = V615269. assign V123481 = V705549 + 1. assign V711962 = V186354 - 1. assign V343978 = V615269. assign V821980 = V167337 - 1. assign V556198 = V525362 + 1. assign V559446 = V704850 + 1. assign V066673 = V218585. assign V398668 = V218585 + 1. assign V827288 = V913269. assign V572329 = V130075. assign V674963 = V701804 + 1. assign V197994 = V733886. assign V100589 = V733886. assign V068862 = V572329 - 1. assign V615269 = V701804 + 1. assign V831465 = V062478 - 1. assign V654738 = V586701 + 1. assign V599729 = V572329 - 1. assign V545040 = V304022 + 1. assign V926455 = V701804. assign V063873 = V545038. assign V733886 = V556198 + 1. assign V913269 = V062478 + 1. assign V452330 = V654738 + 1. assign V446236 = V234125. assign V130075 = V659125 - 1. assign V986492 = V130075. assign V735789 = V395438. assign V736876 = V615269 - 1. assign V798302 = V299108 - 1. assign V859418 = V066673 - 1. assign V416980 = V821980 + 1. assign V545038 = V784900 + 1. assign V186354 = V416980 + 1. assign V100828 = V791808 + 1. assign V980155 = V913269 - 1. assign V725549 = V556198 + 1. assign V704850 = V876761 - 1. assign V070116 = V736876 + 1. assign V062478 = V701804. assign V262184 = V636455. assign V525362 = V821980 - 1. assign V564378 = V586701. assign V699037 = V452330. assign V754856 = V586701 + 1. assign V272998 = V262184. assign V395438 = V170408. assign V264901 = V615269. assign V415658 = V924902 + 1. assign V822332 = V272998. assign V196847 = V876761 + 1. assign V784914 = V452330 + 1. assign V586701 = V130075 - 1. assign V304022 = V736876. assign V167337 = V599729 + 1. assign V299108 = V556198. assign V523688 = V130075 - 1. assign V201532 = V827288 - 1. assign V720341 = V218585. assign V226633 = V186354 - 1. assign V757737 = V791808. assign V705549 = V041134 + 1. assign V087443 = V736876 + 1. assign V978491 = V599729 - 1. assign V735887 = V564378. assign V234125 = 0. assign V041134 = V659125 + 1. assign V924902 = V659125. assign V055076 = V733886 - 1. assign V784900 = V416980 + 1. assign V701804 = V659125.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V245063 = V733886. assign V170408 = V957720 + 1. assign V876761 = V525362 + 1. assign V695542 = V586701 - 1. assign V809339 = V130075 + 1. assign V054610 = V130075 + 1. assign V791808 = V636455 - 1. assign V428048 = V733886. assign V492324 = V720341 + 1. assign V218585 = V615269. assign V400140 = V705549. assign V705458 = V876761 + 1. assign V957720 = V659125 + 1. assign V948980 = V130075 + 1. assign V636455 = V615269. assign V123481 = V705549 + 1. assign V711962 = V186354 - 1. assign V343978 = V615269. assign V821980 = V167337 - 1. assign V556198 = V525362 + 1. assign V559446 = V704850 + 1. assign V066673 = V218585. assign V398668 = V218585 + 1. assign V827288 = V913269. assign V572329 = V130075. assign V674963 = V701804 + 1. assign V197994 = V733886. assign V100589 = V733886. assign V068862 = V572329 - 1. assign V615269 = V701804 + 1. assign V831465 = V062478 - 1. assign V654738 = V586701 + 1. assign V599729 = V572329 - 1. assign V545040 = V304022 + 1. assign V926455 = V701804. assign V063873 = V545038. assign V733886 = V556198 + 1. assign V913269 = V062478 + 1. assign V452330 = V654738 + 1. assign V446236 = V234125. assign V130075 = V659125 - 1. assign V986492 = V130075. assign V735789 = V395438. assign V736876 = V615269 - 1. assign V798302 = V299108 - 1. assign V859418 = V066673 - 1. assign V416980 = V821980 + 1. assign V545038 = V784900 + 1. assign V186354 = V416980 + 1. assign V100828 = V791808 + 1. assign V980155 = V913269 - 1. assign V725549 = V556198 + 1. assign V704850 = V876761 - 1. assign V070116 = V736876 + 1. assign V062478 = V701804. assign V262184 = V636455. assign V525362 = V821980 - 1. assign V564378 = V586701. assign V699037 = V452330. assign V754856 = V586701 + 1. assign V272998 = V262184. assign V395438 = V170408. assign V264901 = V615269. assign V415658 = V924902 + 1. assign V822332 = V272998. assign V196847 = V876761 + 1. assign V784914 = V452330 + 1. assign V586701 = V130075 - 1. assign V304022 = V736876. assign V167337 = V599729 + 1. assign V299108 = V556198. assign V523688 = V130075 - 1. assign V201532 = V827288 - 1. assign V720341 = V218585. assign V226633 = V186354 - 1. assign V757737 = V791808. assign V705549 = V041134 + 1. assign V087443 = V736876 + 1. assign V978491 = V599729 - 1. assign V735887 = V564378. assign V234125 = 0. assign V041134 = V659125 + 1. assign V924902 = V659125. assign V055076 = V733886 - 1. assign V784900 = V416980 + 1. assign V701804 = V659125.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV234125 = 0;\n\nFrom these direct assignment(s), we have: \nV446236 = V234125 = 0;\nNo other variables can be derived from V446236;\nNo other variables can be derived from V234125;\n\nNow we have done all the calculations. Derived variables are:\nV234125 = 0;\nV446236 = 0;\n\nNow we have finished this problem. ANSWER:\nV234125, V446236\n", "role": "assistant" } ]

[ "V761112", "V289598" ]

[ { "content": "<context>\nassign V859732 = V868330 + 1. assign V645349 = V772082. assign V610113 = V577953 + 1. assign V460516 = V732286 - 1. assign V577953 = V788334 - 1. assign V721913 = V239959. assign V781934 = V754185. assign V528751 = V956844 - 1. assign V972829 = V399807 + 1. assign V509405 = V916191 - 1. assign V354368 = V610113 - 1. assign V672185 = V423290 + 1. assign V656251 = V915492 + 1. assign V318272 = V963472 + 1. assign V612060 = V359065. assign V019967 = V754185 + 1. assign V423615 = V392495 - 1. assign V212219 = V918493 + 1. assign V118985 = V460516. assign V710876 = V732286. assign V151808 = V732286. assign V160901 = V972829 + 1. assign V962338 = V707258 - 1. assign V390849 = V148068 - 1. assign V796172 = V019967 - 1. assign V853144 = V065928. assign V260681 = V191661 - 1. assign V788334 = V013853 - 1. assign V171342 = V013853 - 1. assign V864085 = V788334 + 1. assign V013853 = V732286. assign V686440 = V257404. assign V893586 = V110866. assign V221967 = V318272. assign V110866 = V359065 + 1. assign V416884 = V710876 - 1. assign V082334 = V390849 + 1. assign V392495 = V788334 + 1. assign V915492 = V460516 - 1. assign V239959 = V191661 - 1. assign V357749 = V991902 - 1. assign V414502 = V918493 + 1. assign V814504 = V330343 - 1. assign V327223 = V148068 + 1. assign V700367 = V151808 + 1. assign V148512 = V151808. assign V343601 = V460516 - 1. assign V707258 = V754185. assign V761112 = 7. assign V161588 = V460516. assign V148068 = V732286 + 1. assign V956844 = V082334 - 1. assign V991902 = V732286 + 1. assign V918493 = V732286. assign V423290 = V148068. assign V257404 = V423615. assign V006729 = V082334 + 1. assign V289598 = V761112. assign V795404 = V065928 - 1. assign V863609 = V991902. assign V191661 = V963472. assign V684205 = V707258. assign V065928 = V392495. assign V028945 = V013853 + 1. assign V754185 = V013853 + 1. assign V963472 = V577953. assign V714547 = V956844. assign V772082 = V354368. assign V156102 = V754185. assign V704693 = V221967. assign V132858 = V423615 + 1. assign V560911 = V754185 + 1. assign V264576 = V956844 - 1. assign V359065 = V354368 - 1. assign V866782 = V956844. assign V978382 = V710876. assign V367739 = V132858 - 1. assign V434411 = V610113 - 1. assign V330343 = V864085 + 1. assign V868330 = V577953. assign V479575 = V327223. assign V412037 = V962338 + 1. assign V621202 = V916191. assign V399807 = V864085 - 1. assign V017243 = V963472 - 1. assign V916191 = V577953.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V859732 = V868330 + 1. assign V645349 = V772082. assign V610113 = V577953 + 1. assign V460516 = V732286 - 1. assign V577953 = V788334 - 1. assign V721913 = V239959. assign V781934 = V754185. assign V528751 = V956844 - 1. assign V972829 = V399807 + 1. assign V509405 = V916191 - 1. assign V354368 = V610113 - 1. assign V672185 = V423290 + 1. assign V656251 = V915492 + 1. assign V318272 = V963472 + 1. assign V612060 = V359065. assign V019967 = V754185 + 1. assign V423615 = V392495 - 1. assign V212219 = V918493 + 1. assign V118985 = V460516. assign V710876 = V732286. assign V151808 = V732286. assign V160901 = V972829 + 1. assign V962338 = V707258 - 1. assign V390849 = V148068 - 1. assign V796172 = V019967 - 1. assign V853144 = V065928. assign V260681 = V191661 - 1. assign V788334 = V013853 - 1. assign V171342 = V013853 - 1. assign V864085 = V788334 + 1. assign V013853 = V732286. assign V686440 = V257404. assign V893586 = V110866. assign V221967 = V318272. assign V110866 = V359065 + 1. assign V416884 = V710876 - 1. assign V082334 = V390849 + 1. assign V392495 = V788334 + 1. assign V915492 = V460516 - 1. assign V239959 = V191661 - 1. assign V357749 = V991902 - 1. assign V414502 = V918493 + 1. assign V814504 = V330343 - 1. assign V327223 = V148068 + 1. assign V700367 = V151808 + 1. assign V148512 = V151808. assign V343601 = V460516 - 1. assign V707258 = V754185. assign V761112 = 7. assign V161588 = V460516. assign V148068 = V732286 + 1. assign V956844 = V082334 - 1. assign V991902 = V732286 + 1. assign V918493 = V732286. assign V423290 = V148068. assign V257404 = V423615. assign V006729 = V082334 + 1. assign V289598 = V761112. assign V795404 = V065928 - 1. assign V863609 = V991902. assign V191661 = V963472. assign V684205 = V707258. assign V065928 = V392495. assign V028945 = V013853 + 1. assign V754185 = V013853 + 1. assign V963472 = V577953. assign V714547 = V956844. assign V772082 = V354368. assign V156102 = V754185. assign V704693 = V221967. assign V132858 = V423615 + 1. assign V560911 = V754185 + 1. assign V264576 = V956844 - 1. assign V359065 = V354368 - 1. assign V866782 = V956844. assign V978382 = V710876. assign V367739 = V132858 - 1. assign V434411 = V610113 - 1. assign V330343 = V864085 + 1. assign V868330 = V577953. assign V479575 = V327223. assign V412037 = V962338 + 1. assign V621202 = V916191. assign V399807 = V864085 - 1. assign V017243 = V963472 - 1. assign V916191 = V577953.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV761112 = 7;\n\nFrom these direct assignment(s), we have: \nV289598 = V761112 = 7;\nNo other variables can be derived from V289598;\nNo other variables can be derived from V761112;\n\nNow we have done all the calculations. Derived variables are:\nV761112 = 7;\nV289598 = 7;\n\nNow we have finished this problem. ANSWER:\nV761112, V289598\n", "role": "assistant" } ]

[ "V984231" ]

[ { "content": "<context>\nassign V753234 = V930014. assign V448916 = V598889 - 1. assign V078077 = V816165 - 1. assign V277635 = V118557. assign V258391 = V399607 - 1. assign V399607 = V384259 - 1. assign V994124 = V384259 + 1. assign V979132 = V399607. assign V719016 = V857420 - 1. assign V851860 = V529177. assign V262461 = V942757 - 1. assign V216449 = V865417. assign V638626 = V381572 + 1. assign V536347 = V578053 - 1. assign V118557 = V942757 - 1. assign V538431 = V078077 + 1. assign V374272 = V811439. assign V243296 = V582809. assign V732342 = V536347. assign V924661 = V857420 - 1. assign V554794 = V578053 + 1. assign V227775 = V564591 - 1. assign V825997 = V529177 - 1. assign V358446 = V384259 + 1. assign V669939 = V719016 - 1. assign V522940 = V578053. assign V482980 = V536347 + 1. assign V886606 = V384259 - 1. assign V580179 = V363254 - 1. assign V987908 = V971161 - 1. assign V922637 = V719016 + 1. assign V831549 = V676636 + 1. assign V564591 = V078461. assign V078461 = V930014 - 1. assign V360631 = V874693. assign V812014 = V831549 - 1. assign V788521 = V494188 + 1. assign V506428 = V035689. assign V035689 = V529177. assign V703393 = V262461 + 1. assign V009569 = V922637 + 1. assign V070367 = V874693. assign V045039 = V700606 - 1. assign V175783 = V440096. assign V811439 = V118557. assign V857420 = V942757. assign V700606 = V802008. assign V454617 = V802008. assign V207055 = V374272 + 1. assign V598889 = V942757 - 1. assign V494188 = V582809 + 1. assign V529177 = V857420 - 1. assign V177509 = V874693. assign V344121 = V732342 + 1. assign V962534 = V924661 + 1. assign V384259 = V529177 + 1. assign V297259 = V538431. assign V165713 = V942757 + 1. assign V549521 = V207055. assign V954887 = V922637 + 1. assign V634498 = V802008. assign V578053 = V676636 + 1. assign V782015 = V506428. assign V874693 = V374272 + 1. assign V450063 = V078461 - 1. assign V282962 = V922637 + 1. assign V676636 = V529177. assign V166120 = V886606. assign V865417 = V529177. assign V428776 = V118557 - 1. assign V582809 = V942757 - 1. assign V505839 = V924661 + 1. assign V190501 = 3. assign V971161 = V313778. assign V579563 = V381572 - 1. assign V440096 = V529177 - 1. assign V381572 = V700606 + 1. assign V802008 = V529177. assign V363254 = V634498. assign V109384 = V930014. assign V794206 = V078461 + 1. assign V313778 = V598889. assign V208061 = V262461 + 1. assign V816165 = V313778. assign V930014 = V313778 - 1. assign V984231 = V190501 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V753234 = V930014. assign V448916 = V598889 - 1. assign V078077 = V816165 - 1. assign V277635 = V118557. assign V258391 = V399607 - 1. assign V399607 = V384259 - 1. assign V994124 = V384259 + 1. assign V979132 = V399607. assign V719016 = V857420 - 1. assign V851860 = V529177. assign V262461 = V942757 - 1. assign V216449 = V865417. assign V638626 = V381572 + 1. assign V536347 = V578053 - 1. assign V118557 = V942757 - 1. assign V538431 = V078077 + 1. assign V374272 = V811439. assign V243296 = V582809. assign V732342 = V536347. assign V924661 = V857420 - 1. assign V554794 = V578053 + 1. assign V227775 = V564591 - 1. assign V825997 = V529177 - 1. assign V358446 = V384259 + 1. assign V669939 = V719016 - 1. assign V522940 = V578053. assign V482980 = V536347 + 1. assign V886606 = V384259 - 1. assign V580179 = V363254 - 1. assign V987908 = V971161 - 1. assign V922637 = V719016 + 1. assign V831549 = V676636 + 1. assign V564591 = V078461. assign V078461 = V930014 - 1. assign V360631 = V874693. assign V812014 = V831549 - 1. assign V788521 = V494188 + 1. assign V506428 = V035689. assign V035689 = V529177. assign V703393 = V262461 + 1. assign V009569 = V922637 + 1. assign V070367 = V874693. assign V045039 = V700606 - 1. assign V175783 = V440096. assign V811439 = V118557. assign V857420 = V942757. assign V700606 = V802008. assign V454617 = V802008. assign V207055 = V374272 + 1. assign V598889 = V942757 - 1. assign V494188 = V582809 + 1. assign V529177 = V857420 - 1. assign V177509 = V874693. assign V344121 = V732342 + 1. assign V962534 = V924661 + 1. assign V384259 = V529177 + 1. assign V297259 = V538431. assign V165713 = V942757 + 1. assign V549521 = V207055. assign V954887 = V922637 + 1. assign V634498 = V802008. assign V578053 = V676636 + 1. assign V782015 = V506428. assign V874693 = V374272 + 1. assign V450063 = V078461 - 1. assign V282962 = V922637 + 1. assign V676636 = V529177. assign V166120 = V886606. assign V865417 = V529177. assign V428776 = V118557 - 1. assign V582809 = V942757 - 1. assign V505839 = V924661 + 1. assign V190501 = 3. assign V971161 = V313778. assign V579563 = V381572 - 1. assign V440096 = V529177 - 1. assign V381572 = V700606 + 1. assign V802008 = V529177. assign V363254 = V634498. assign V109384 = V930014. assign V794206 = V078461 + 1. assign V313778 = V598889. assign V208061 = V262461 + 1. assign V816165 = V313778. assign V930014 = V313778 - 1. assign V984231 = V190501 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV190501 = 3;\n\nFrom these direct assignment(s), we have: \nV984231 = V190501 - 1 = 3 - 1 =2;\nNo other variables can be derived from V984231;\nNo other variables can be derived from V190501;\n\nNow we have done all the calculations. Derived variables are:\nV190501 = 3;\nV984231 = 2;\n\nNow we have finished this problem. ANSWER:\nV984231\n", "role": "assistant" } ]

[ "V836594" ]

[ { "content": "<context>\nassign V798666 = V275475. assign V281317 = V645626. assign V923686 = V645626 + 1. assign V047682 = V212523 - 1. assign V760487 = V885141 + 1. assign V421069 = V450897 + 1. assign V740127 = V467485 + 1. assign V510012 = V894724. assign V885141 = V450897. assign V546302 = V129223. assign V129223 = V943239. assign V370712 = V162013 + 1. assign V943239 = V256680. assign V037145 = V162013 + 1. assign V336312 = V256680 + 1. assign V389101 = V976890. assign V216204 = 9. assign V163857 = V185133. assign V836594 = V216204 + 1. assign V657781 = V281317 + 1. assign V015454 = V971414. assign V348435 = V702133 + 1. assign V945127 = V212523 - 1. assign V708720 = V047682 - 1. assign V547220 = V894724. assign V385503 = V185133. assign V998343 = V951442. assign V467485 = V885141 + 1. assign V967965 = V370712 - 1. assign V530228 = V760487 + 1. assign V635737 = V798666 - 1. assign V576061 = V114668 - 1. assign V549812 = V389101 + 1. assign V185133 = V450897. assign V309962 = V256680 + 1. assign V212523 = V894724 - 1. assign V114668 = V251146. assign V712477 = V576061. assign V553593 = V889241. assign V388712 = V510012. assign V530295 = V275475. assign V933770 = V129223. assign V612141 = V212523 + 1. assign V971414 = V185133 - 1. assign V275475 = V211283. assign V211283 = V450897. assign V491637 = V760487 - 1. assign V889241 = V760487. assign V272994 = V791806. assign V283346 = V353996 - 1. assign V256680 = V510012. assign V702133 = V645626 - 1. assign V353149 = V211283. assign V582206 = V657781 + 1. assign V978779 = V971414 + 1. assign V761371 = V645626 - 1. assign V645626 = V943239 - 1. assign V162013 = V873217 - 1. assign V951442 = V510012 + 1. assign V111698 = V951442. assign V494661 = V617900. assign V144773 = V873217 - 1. assign V791806 = V894724. assign V856017 = V549812 - 1. assign V561455 = V129223 - 1. assign V739804 = V612141. assign V058257 = V702133. assign V411380 = V615243. assign V665168 = V978779 - 1. assign V615243 = V510012 + 1. assign V894724 = V211283. assign V325414 = V456196 + 1. assign V251146 = V530295. assign V947339 = V885141. assign V162696 = V211283 + 1. assign V873217 = V885141 + 1. assign V674746 = V923686 - 1. assign V029860 = V353149 + 1. assign V976890 = V894724 - 1. assign V535047 = V162696. assign V456196 = V889241 - 1. assign V617900 = V211283 - 1. assign V960885 = V535047. assign V346937 = V283346. assign V353996 = V047682. assign V972536 = V275475 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V798666 = V275475. assign V281317 = V645626. assign V923686 = V645626 + 1. assign V047682 = V212523 - 1. assign V760487 = V885141 + 1. assign V421069 = V450897 + 1. assign V740127 = V467485 + 1. assign V510012 = V894724. assign V885141 = V450897. assign V546302 = V129223. assign V129223 = V943239. assign V370712 = V162013 + 1. assign V943239 = V256680. assign V037145 = V162013 + 1. assign V336312 = V256680 + 1. assign V389101 = V976890. assign V216204 = 9. assign V163857 = V185133. assign V836594 = V216204 + 1. assign V657781 = V281317 + 1. assign V015454 = V971414. assign V348435 = V702133 + 1. assign V945127 = V212523 - 1. assign V708720 = V047682 - 1. assign V547220 = V894724. assign V385503 = V185133. assign V998343 = V951442. assign V467485 = V885141 + 1. assign V967965 = V370712 - 1. assign V530228 = V760487 + 1. assign V635737 = V798666 - 1. assign V576061 = V114668 - 1. assign V549812 = V389101 + 1. assign V185133 = V450897. assign V309962 = V256680 + 1. assign V212523 = V894724 - 1. assign V114668 = V251146. assign V712477 = V576061. assign V553593 = V889241. assign V388712 = V510012. assign V530295 = V275475. assign V933770 = V129223. assign V612141 = V212523 + 1. assign V971414 = V185133 - 1. assign V275475 = V211283. assign V211283 = V450897. assign V491637 = V760487 - 1. assign V889241 = V760487. assign V272994 = V791806. assign V283346 = V353996 - 1. assign V256680 = V510012. assign V702133 = V645626 - 1. assign V353149 = V211283. assign V582206 = V657781 + 1. assign V978779 = V971414 + 1. assign V761371 = V645626 - 1. assign V645626 = V943239 - 1. assign V162013 = V873217 - 1. assign V951442 = V510012 + 1. assign V111698 = V951442. assign V494661 = V617900. assign V144773 = V873217 - 1. assign V791806 = V894724. assign V856017 = V549812 - 1. assign V561455 = V129223 - 1. assign V739804 = V612141. assign V058257 = V702133. assign V411380 = V615243. assign V665168 = V978779 - 1. assign V615243 = V510012 + 1. assign V894724 = V211283. assign V325414 = V456196 + 1. assign V251146 = V530295. assign V947339 = V885141. assign V162696 = V211283 + 1. assign V873217 = V885141 + 1. assign V674746 = V923686 - 1. assign V029860 = V353149 + 1. assign V976890 = V894724 - 1. assign V535047 = V162696. assign V456196 = V889241 - 1. assign V617900 = V211283 - 1. assign V960885 = V535047. assign V346937 = V283346. assign V353996 = V047682. assign V972536 = V275475 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV216204 = 9;\n\nFrom these direct assignment(s), we have: \nV836594 = V216204 + 1 = 9 + 1 =10;\nNo other variables can be derived from V836594;\nNo other variables can be derived from V216204;\n\nNow we have done all the calculations. Derived variables are:\nV216204 = 9;\nV836594 = 10;\n\nNow we have finished this problem. ANSWER:\nV836594\n", "role": "assistant" } ]

[ "V300489", "V699257" ]

[ { "content": "<context>\nassign V099674 = V552440 - 1. assign V693259 = V369713. assign V031033 = V163893 - 1. assign V326944 = V048059 + 1. assign V758898 = V544140 + 1. assign V608627 = V648627 + 1. assign V133556 = V305681 + 1. assign V975876 = V552440. assign V032298 = V305681. assign V156433 = V120329. assign V300489 = 4. assign V429375 = V544140. assign V324825 = V120329. assign V430279 = V131598 + 1. assign V823647 = V750832 + 1. assign V160074 = V305681 - 1. assign V048059 = V267495 - 1. assign V953228 = V324825 - 1. assign V248290 = V156433 + 1. assign V699257 = V300489. assign V608462 = V048059. assign V652472 = V762870. assign V175624 = V326944. assign V953461 = V326944 - 1. assign V815287 = V156433. assign V844750 = V120329 - 1. assign V762870 = V505834 + 1. assign V017586 = V048059. assign V773175 = V248290. assign V174186 = V941905 + 1. assign V163893 = V544140. assign V772382 = V384505 + 1. assign V510950 = V931764 + 1. assign V615244 = V310271 + 1. assign V941905 = V267495 - 1. assign V131598 = V953461 + 1. assign V606819 = V750832. assign V808807 = V975876 + 1. assign V505372 = V789677 + 1. assign V019485 = V120329 - 1. assign V286264 = V615244. assign V267495 = V113099 - 1. assign V789677 = V324825 - 1. assign V035794 = V552440. assign V471627 = V505372. assign V335955 = V823647. assign V305681 = V552440. assign V101907 = V075598 - 1. assign V352544 = V505372 + 1. assign V931764 = V576562. assign V767519 = V120329 + 1. assign V148654 = V115061 + 1. assign V536883 = V576562. assign V544140 = V113099. assign V095424 = V384505 - 1. assign V831450 = V429375 - 1. assign V384505 = V305681. assign V505834 = V812324. assign V619259 = V324825. assign V692525 = V163893. assign V471856 = V175624 - 1. assign V552440 = V113099 - 1. assign V750832 = V048059. assign V738894 = V767519 - 1. assign V075598 = V113099 + 1. assign V812324 = V113099 + 1. assign V249971 = V115061 - 1. assign V933316 = V075598 - 1. assign V960912 = V981776. assign V115061 = V075598 - 1. assign V794940 = V471627. assign V987299 = V288061 + 1. assign V981776 = V120329 - 1. assign V648627 = V324825 - 1. assign V369713 = V569205. assign V573816 = V429375 - 1. assign V557346 = V608462 - 1. assign V998331 = V975876. assign V256628 = V075598 - 1. assign V288061 = V505372 - 1. assign V576562 = V953461 - 1. assign V569205 = V975876. assign V310271 = V941905 - 1. assign V120329 = V552440. assign V821840 = V975876 + 1. assign V837760 = V326944 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V099674 = V552440 - 1. assign V693259 = V369713. assign V031033 = V163893 - 1. assign V326944 = V048059 + 1. assign V758898 = V544140 + 1. assign V608627 = V648627 + 1. assign V133556 = V305681 + 1. assign V975876 = V552440. assign V032298 = V305681. assign V156433 = V120329. assign V300489 = 4. assign V429375 = V544140. assign V324825 = V120329. assign V430279 = V131598 + 1. assign V823647 = V750832 + 1. assign V160074 = V305681 - 1. assign V048059 = V267495 - 1. assign V953228 = V324825 - 1. assign V248290 = V156433 + 1. assign V699257 = V300489. assign V608462 = V048059. assign V652472 = V762870. assign V175624 = V326944. assign V953461 = V326944 - 1. assign V815287 = V156433. assign V844750 = V120329 - 1. assign V762870 = V505834 + 1. assign V017586 = V048059. assign V773175 = V248290. assign V174186 = V941905 + 1. assign V163893 = V544140. assign V772382 = V384505 + 1. assign V510950 = V931764 + 1. assign V615244 = V310271 + 1. assign V941905 = V267495 - 1. assign V131598 = V953461 + 1. assign V606819 = V750832. assign V808807 = V975876 + 1. assign V505372 = V789677 + 1. assign V019485 = V120329 - 1. assign V286264 = V615244. assign V267495 = V113099 - 1. assign V789677 = V324825 - 1. assign V035794 = V552440. assign V471627 = V505372. assign V335955 = V823647. assign V305681 = V552440. assign V101907 = V075598 - 1. assign V352544 = V505372 + 1. assign V931764 = V576562. assign V767519 = V120329 + 1. assign V148654 = V115061 + 1. assign V536883 = V576562. assign V544140 = V113099. assign V095424 = V384505 - 1. assign V831450 = V429375 - 1. assign V384505 = V305681. assign V505834 = V812324. assign V619259 = V324825. assign V692525 = V163893. assign V471856 = V175624 - 1. assign V552440 = V113099 - 1. assign V750832 = V048059. assign V738894 = V767519 - 1. assign V075598 = V113099 + 1. assign V812324 = V113099 + 1. assign V249971 = V115061 - 1. assign V933316 = V075598 - 1. assign V960912 = V981776. assign V115061 = V075598 - 1. assign V794940 = V471627. assign V987299 = V288061 + 1. assign V981776 = V120329 - 1. assign V648627 = V324825 - 1. assign V369713 = V569205. assign V573816 = V429375 - 1. assign V557346 = V608462 - 1. assign V998331 = V975876. assign V256628 = V075598 - 1. assign V288061 = V505372 - 1. assign V576562 = V953461 - 1. assign V569205 = V975876. assign V310271 = V941905 - 1. assign V120329 = V552440. assign V821840 = V975876 + 1. assign V837760 = V326944 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV300489 = 4;\n\nFrom these direct assignment(s), we have: \nV699257 = V300489 = 4;\nNo other variables can be derived from V699257;\nNo other variables can be derived from V300489;\n\nNow we have done all the calculations. Derived variables are:\nV300489 = 4;\nV699257 = 4;\n\nNow we have finished this problem. ANSWER:\nV300489, V699257\n", "role": "assistant" } ]

[ "V333087" ]

[ { "content": "<context>\nassign V584239 = V576186. assign V575533 = V376099 + 1. assign V626825 = V621693. assign V890647 = V126037 - 1. assign V226837 = V489861 - 1. assign V211308 = V094174 - 1. assign V568929 = V879260. assign V616185 = V376099 - 1. assign V986106 = V626825. assign V454243 = V058465 - 1. assign V058465 = V983028 - 1. assign V817794 = V489861 + 1. assign V099639 = V038500 + 1. assign V338257 = V973414. assign V349813 = V568929 - 1. assign V728807 = V376099 + 1. assign V886761 = V879260. assign V044761 = V489861. assign V967809 = V058465 - 1. assign V405034 = V472977 + 1. assign V193396 = V019124 + 1. assign V890410 = V552772. assign V547299 = V728807. assign V817604 = V546103. assign V752912 = V884763. assign V884763 = V012825. assign V133831 = V489861 + 1. assign V894204 = V575533. assign V012825 = V808508. assign V094174 = V983028. assign V101721 = V226837 + 1. assign V476548 = V134792. assign V383735 = V134792. assign V100994 = V166329. assign V953208 = V484067 + 1. assign V478744 = V126037 + 1. assign V014710 = V224041. assign V123841 = V616185. assign V542162 = V489861 + 1. assign V475644 = V626825 - 1. assign V286241 = V044761 + 1. assign V056916 = V383735 - 1. assign V091881 = V333087 - 1. assign V353592 = V626825 + 1. assign V866689 = V546103 - 1. assign V345195 = V094174 - 1. assign V879260 = V621693 + 1. assign V576186 = V983028 - 1. assign V813731 = V728807 - 1. assign V909884 = V266962 - 1. assign V126037 = V226837 - 1. assign V453301 = V983028 + 1. assign V191147 = V345195 + 1. assign V038500 = V621693 + 1. assign V183402 = V353592. assign V484067 = V489861. assign V973414 = V383735 + 1. assign V196542 = V621693. assign V019124 = V383735 + 1. assign V333087 = 6. assign V631656 = V134792 + 1. assign V166329 = V808508 + 1. assign V266962 = V383735 - 1. assign V224041 = V546103. assign V552772 = V621693 - 1. assign V775228 = V484067 + 1. assign V153124 = V616185. assign V808508 = V126037 - 1. assign V687176 = V349813. assign V376099 = V383735 - 1. assign V489861 = V019124 + 1. assign V902976 = V967809 + 1. assign V580966 = V101721 - 1. assign V546103 = V058465 - 1. assign V423505 = V576186 - 1. assign V442725 = V266962. assign V983028 = V383735. assign V436062 = V775228 - 1. assign V781364 = V655516 + 1. assign V655516 = V038500 + 1. assign V669074 = V781364 + 1. assign V621693 = V476548 + 1. assign V190589 = V099639 + 1. assign V472977 = V376099 - 1. assign V941487 = V813731 - 1. assign V934321 = V099639 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V584239 = V576186. assign V575533 = V376099 + 1. assign V626825 = V621693. assign V890647 = V126037 - 1. assign V226837 = V489861 - 1. assign V211308 = V094174 - 1. assign V568929 = V879260. assign V616185 = V376099 - 1. assign V986106 = V626825. assign V454243 = V058465 - 1. assign V058465 = V983028 - 1. assign V817794 = V489861 + 1. assign V099639 = V038500 + 1. assign V338257 = V973414. assign V349813 = V568929 - 1. assign V728807 = V376099 + 1. assign V886761 = V879260. assign V044761 = V489861. assign V967809 = V058465 - 1. assign V405034 = V472977 + 1. assign V193396 = V019124 + 1. assign V890410 = V552772. assign V547299 = V728807. assign V817604 = V546103. assign V752912 = V884763. assign V884763 = V012825. assign V133831 = V489861 + 1. assign V894204 = V575533. assign V012825 = V808508. assign V094174 = V983028. assign V101721 = V226837 + 1. assign V476548 = V134792. assign V383735 = V134792. assign V100994 = V166329. assign V953208 = V484067 + 1. assign V478744 = V126037 + 1. assign V014710 = V224041. assign V123841 = V616185. assign V542162 = V489861 + 1. assign V475644 = V626825 - 1. assign V286241 = V044761 + 1. assign V056916 = V383735 - 1. assign V091881 = V333087 - 1. assign V353592 = V626825 + 1. assign V866689 = V546103 - 1. assign V345195 = V094174 - 1. assign V879260 = V621693 + 1. assign V576186 = V983028 - 1. assign V813731 = V728807 - 1. assign V909884 = V266962 - 1. assign V126037 = V226837 - 1. assign V453301 = V983028 + 1. assign V191147 = V345195 + 1. assign V038500 = V621693 + 1. assign V183402 = V353592. assign V484067 = V489861. assign V973414 = V383735 + 1. assign V196542 = V621693. assign V019124 = V383735 + 1. assign V333087 = 6. assign V631656 = V134792 + 1. assign V166329 = V808508 + 1. assign V266962 = V383735 - 1. assign V224041 = V546103. assign V552772 = V621693 - 1. assign V775228 = V484067 + 1. assign V153124 = V616185. assign V808508 = V126037 - 1. assign V687176 = V349813. assign V376099 = V383735 - 1. assign V489861 = V019124 + 1. assign V902976 = V967809 + 1. assign V580966 = V101721 - 1. assign V546103 = V058465 - 1. assign V423505 = V576186 - 1. assign V442725 = V266962. assign V983028 = V383735. assign V436062 = V775228 - 1. assign V781364 = V655516 + 1. assign V655516 = V038500 + 1. assign V669074 = V781364 + 1. assign V621693 = V476548 + 1. assign V190589 = V099639 + 1. assign V472977 = V376099 - 1. assign V941487 = V813731 - 1. assign V934321 = V099639 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV333087 = 6;\n\nFrom these direct assignment(s), we have: \nV091881 = V333087 - 1 = 6 - 1 =5;\nNo other variables can be derived from V091881;\nNo other variables can be derived from V333087;\n\nNow we have done all the calculations. Derived variables are:\nV333087 = 6;\nV091881 = 5;\n\nNow we have finished this problem. ANSWER:\nV333087\n", "role": "assistant" } ]

[ "V856647" ]

[ { "content": "<context>\nassign V334373 = V946179 - 1. assign V117469 = V711566 - 1. assign V477357 = V708510 - 1. assign V635256 = V120717. assign V027042 = V811273. assign V884390 = V150506 - 1. assign V001597 = V060771. assign V166821 = V056840. assign V441348 = V058840. assign V239431 = V502897 - 1. assign V908809 = V120717 - 1. assign V315340 = V946179 - 1. assign V711566 = V361893 - 1. assign V880225 = V946179 - 1. assign V100354 = V526732 - 1. assign V766596 = V572105 + 1. assign V856647 = V379649 - 1. assign V922573 = V056087. assign V326362 = V526732. assign V236187 = V310003 - 1. assign V751681 = V946179 - 1. assign V549646 = V959275 + 1. assign V846646 = V056087 - 1. assign V613274 = V361893 - 1. assign V150506 = V753012 - 1. assign V264747 = V711566. assign V177071 = V887814 - 1. assign V762088 = V724808 + 1. assign V543433 = V762088 + 1. assign V440648 = V236187 + 1. assign V997881 = V159455 - 1. assign V959275 = V212915 - 1. assign V113297 = V056087. assign V754980 = V027042. assign V689327 = V766944 - 1. assign V189876 = V008101. assign V988484 = V150506 - 1. assign V379649 = 6. assign V502897 = V058840. assign V572105 = V811273. assign V187212 = V482755. assign V526732 = V441348 + 1. assign V218227 = V056087 - 1. assign V921241 = V549646. assign V453947 = V708510. assign V482755 = V625057. assign V075178 = V060771 + 1. assign V708510 = V556824 - 1. assign V558480 = V058840 + 1. assign V056087 = V625057 + 1. assign V981677 = V056840 - 1. assign V946179 = V811273 + 1. assign V373582 = V762088 + 1. assign V222359 = V236187 + 1. assign V766944 = V236187 - 1. assign V319330 = V189876 - 1. assign V399702 = V766596 + 1. assign V058840 = V310003. assign V549328 = V399702. assign V753012 = V027042 - 1. assign V556824 = V027042 + 1. assign V887814 = V724858 - 1. assign V811273 = V310003 - 1. assign V084700 = V708510 + 1. assign V977383 = V482755 + 1. assign V819833 = V060771. assign V226728 = V526732 - 1. assign V361893 = V724858 + 1. assign V740409 = V117469 - 1. assign V646026 = V226728 + 1. assign V514952 = V361893. assign V625057 = V310003. assign V056840 = V514952 - 1. assign V690501 = V008101. assign V897754 = V811273 - 1. assign V724858 = V058840 - 1. assign V060771 = V514952. assign V724808 = V361893 + 1. assign V079802 = V753012 - 1. assign V159455 = V226728 - 1. assign V705024 = V946179 + 1. assign V008101 = V056840. assign V958151 = V811273. assign V120717 = V811273 + 1. assign V891670 = V819833 - 1. assign V212915 = V514952.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V334373 = V946179 - 1. assign V117469 = V711566 - 1. assign V477357 = V708510 - 1. assign V635256 = V120717. assign V027042 = V811273. assign V884390 = V150506 - 1. assign V001597 = V060771. assign V166821 = V056840. assign V441348 = V058840. assign V239431 = V502897 - 1. assign V908809 = V120717 - 1. assign V315340 = V946179 - 1. assign V711566 = V361893 - 1. assign V880225 = V946179 - 1. assign V100354 = V526732 - 1. assign V766596 = V572105 + 1. assign V856647 = V379649 - 1. assign V922573 = V056087. assign V326362 = V526732. assign V236187 = V310003 - 1. assign V751681 = V946179 - 1. assign V549646 = V959275 + 1. assign V846646 = V056087 - 1. assign V613274 = V361893 - 1. assign V150506 = V753012 - 1. assign V264747 = V711566. assign V177071 = V887814 - 1. assign V762088 = V724808 + 1. assign V543433 = V762088 + 1. assign V440648 = V236187 + 1. assign V997881 = V159455 - 1. assign V959275 = V212915 - 1. assign V113297 = V056087. assign V754980 = V027042. assign V689327 = V766944 - 1. assign V189876 = V008101. assign V988484 = V150506 - 1. assign V379649 = 6. assign V502897 = V058840. assign V572105 = V811273. assign V187212 = V482755. assign V526732 = V441348 + 1. assign V218227 = V056087 - 1. assign V921241 = V549646. assign V453947 = V708510. assign V482755 = V625057. assign V075178 = V060771 + 1. assign V708510 = V556824 - 1. assign V558480 = V058840 + 1. assign V056087 = V625057 + 1. assign V981677 = V056840 - 1. assign V946179 = V811273 + 1. assign V373582 = V762088 + 1. assign V222359 = V236187 + 1. assign V766944 = V236187 - 1. assign V319330 = V189876 - 1. assign V399702 = V766596 + 1. assign V058840 = V310003. assign V549328 = V399702. assign V753012 = V027042 - 1. assign V556824 = V027042 + 1. assign V887814 = V724858 - 1. assign V811273 = V310003 - 1. assign V084700 = V708510 + 1. assign V977383 = V482755 + 1. assign V819833 = V060771. assign V226728 = V526732 - 1. assign V361893 = V724858 + 1. assign V740409 = V117469 - 1. assign V646026 = V226728 + 1. assign V514952 = V361893. assign V625057 = V310003. assign V056840 = V514952 - 1. assign V690501 = V008101. assign V897754 = V811273 - 1. assign V724858 = V058840 - 1. assign V060771 = V514952. assign V724808 = V361893 + 1. assign V079802 = V753012 - 1. assign V159455 = V226728 - 1. assign V705024 = V946179 + 1. assign V008101 = V056840. assign V958151 = V811273. assign V120717 = V811273 + 1. assign V891670 = V819833 - 1. assign V212915 = V514952.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV379649 = 6;\n\nFrom these direct assignment(s), we have: \nV856647 = V379649 - 1 = 6 - 1 =5;\nNo other variables can be derived from V856647;\nNo other variables can be derived from V379649;\n\nNow we have done all the calculations. Derived variables are:\nV379649 = 6;\nV856647 = 5;\n\nNow we have finished this problem. ANSWER:\nV856647\n", "role": "assistant" } ]

[ "V723531", "V189578" ]

[ { "content": "<context>\nassign V069535 = V772029 - 1. assign V881620 = V309998. assign V049629 = V624690 + 1. assign V982946 = V010183 - 1. assign V754112 = V271366 + 1. assign V220395 = V811097. assign V189578 = V723531. assign V582100 = V452097 - 1. assign V933694 = V910068 + 1. assign V755384 = V772029 + 1. assign V278161 = V881620. assign V010183 = V369767. assign V287693 = V582100 - 1. assign V816667 = V772029. assign V278369 = V616152 - 1. assign V293978 = V840988. assign V910068 = V228864. assign V506486 = V026994. assign V369767 = V582100 + 1. assign V375500 = V100979 - 1. assign V500117 = V695261 - 1. assign V471669 = V476638 - 1. assign V886887 = V920679 - 1. assign V426576 = V582100 - 1. assign V018560 = V560463 - 1. assign V574541 = V501983 - 1. assign V223293 = V103585. assign V959388 = V257723. assign V391030 = V228864 + 1. assign V776701 = V237759. assign V385569 = V920679. assign V691109 = V920679 - 1. assign V309998 = V228864. assign V541429 = V278161. assign V501983 = V920679 - 1. assign V678839 = V620063. assign V023083 = V228864 - 1. assign V328660 = V124056 + 1. assign V257723 = V506486 + 1. assign V330441 = V620063 + 1. assign V351595 = V776701 + 1. assign V920679 = V228864 - 1. assign V317691 = V082044 + 1. assign V560463 = V582100 - 1. assign V855078 = V678839 - 1. assign V990975 = V317691 - 1. assign V689525 = V026994. assign V101445 = V582100. assign V241942 = V271366 - 1. assign V624575 = V501983 - 1. assign V529167 = V910068. assign V110733 = V829475 + 1. assign V476638 = V881620 - 1. assign V026994 = V620063 + 1. assign V520124 = V278161 + 1. assign V198876 = V541429. assign V840988 = V811097. assign V444376 = V069535. assign V616152 = V391030 - 1. assign V723531 = 0. assign V237759 = V501983 - 1. assign V540331 = V501983 - 1. assign V271366 = V069535 - 1. assign V374520 = V574541 + 1. assign V829475 = V881620 - 1. assign V026501 = V257723 + 1. assign V624690 = V772029. assign V334136 = V369767. assign V811097 = V309998 - 1. assign V695261 = V237759 - 1. assign V594713 = V829475 + 1. assign V372164 = V271366. assign V720735 = V520124. assign V082044 = V228864 + 1. assign V565158 = V026994 + 1. assign V772029 = V616152. assign V228864 = V452097 + 1. assign V126520 = V228864. assign V620063 = V391030 - 1. assign V307169 = V452097 + 1. assign V314668 = V293978 + 1. assign V220434 = V271366 - 1. assign V298994 = V755384 - 1. assign V103585 = V471669. assign V100979 = V594713. assign V124056 = V452097 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V069535 = V772029 - 1. assign V881620 = V309998. assign V049629 = V624690 + 1. assign V982946 = V010183 - 1. assign V754112 = V271366 + 1. assign V220395 = V811097. assign V189578 = V723531. assign V582100 = V452097 - 1. assign V933694 = V910068 + 1. assign V755384 = V772029 + 1. assign V278161 = V881620. assign V010183 = V369767. assign V287693 = V582100 - 1. assign V816667 = V772029. assign V278369 = V616152 - 1. assign V293978 = V840988. assign V910068 = V228864. assign V506486 = V026994. assign V369767 = V582100 + 1. assign V375500 = V100979 - 1. assign V500117 = V695261 - 1. assign V471669 = V476638 - 1. assign V886887 = V920679 - 1. assign V426576 = V582100 - 1. assign V018560 = V560463 - 1. assign V574541 = V501983 - 1. assign V223293 = V103585. assign V959388 = V257723. assign V391030 = V228864 + 1. assign V776701 = V237759. assign V385569 = V920679. assign V691109 = V920679 - 1. assign V309998 = V228864. assign V541429 = V278161. assign V501983 = V920679 - 1. assign V678839 = V620063. assign V023083 = V228864 - 1. assign V328660 = V124056 + 1. assign V257723 = V506486 + 1. assign V330441 = V620063 + 1. assign V351595 = V776701 + 1. assign V920679 = V228864 - 1. assign V317691 = V082044 + 1. assign V560463 = V582100 - 1. assign V855078 = V678839 - 1. assign V990975 = V317691 - 1. assign V689525 = V026994. assign V101445 = V582100. assign V241942 = V271366 - 1. assign V624575 = V501983 - 1. assign V529167 = V910068. assign V110733 = V829475 + 1. assign V476638 = V881620 - 1. assign V026994 = V620063 + 1. assign V520124 = V278161 + 1. assign V198876 = V541429. assign V840988 = V811097. assign V444376 = V069535. assign V616152 = V391030 - 1. assign V723531 = 0. assign V237759 = V501983 - 1. assign V540331 = V501983 - 1. assign V271366 = V069535 - 1. assign V374520 = V574541 + 1. assign V829475 = V881620 - 1. assign V026501 = V257723 + 1. assign V624690 = V772029. assign V334136 = V369767. assign V811097 = V309998 - 1. assign V695261 = V237759 - 1. assign V594713 = V829475 + 1. assign V372164 = V271366. assign V720735 = V520124. assign V082044 = V228864 + 1. assign V565158 = V026994 + 1. assign V772029 = V616152. assign V228864 = V452097 + 1. assign V126520 = V228864. assign V620063 = V391030 - 1. assign V307169 = V452097 + 1. assign V314668 = V293978 + 1. assign V220434 = V271366 - 1. assign V298994 = V755384 - 1. assign V103585 = V471669. assign V100979 = V594713. assign V124056 = V452097 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV723531 = 0;\n\nFrom these direct assignment(s), we have: \nV189578 = V723531 = 0;\nNo other variables can be derived from V189578;\nNo other variables can be derived from V723531;\n\nNow we have done all the calculations. Derived variables are:\nV723531 = 0;\nV189578 = 0;\n\nNow we have finished this problem. ANSWER:\nV723531, V189578\n", "role": "assistant" } ]

[ "V574981" ]

[ { "content": "<context>\nassign V026390 = V182671 + 1. assign V631827 = V273474 - 1. assign V988404 = V993449. assign V869930 = V012915. assign V649113 = V913448. assign V612099 = V993449 - 1. assign V913967 = V273474. assign V285401 = V340730. assign V056027 = V402429 + 1. assign V006765 = V078767 - 1. assign V886611 = V473830 + 1. assign V012915 = V402429. assign V402429 = V182671. assign V997718 = V595034 + 1. assign V182671 = V809465. assign V573547 = V430494. assign V846349 = V416693 + 1. assign V687696 = V340730. assign V435635 = V460307. assign V183218 = V612099. assign V841805 = V993449 + 1. assign V460307 = V655459 - 1. assign V334354 = V960522 - 1. assign V173337 = V574981 + 1. assign V222539 = V913448 - 1. assign V194650 = V955238 - 1. assign V425392 = V460307. assign V596078 = V770250. assign V234168 = V913967 + 1. assign V546463 = V056027 + 1. assign V466732 = V960317. assign V281435 = V426483 + 1. assign V513481 = V858661 - 1. assign V629574 = V402429 + 1. assign V106725 = V836934. assign V284136 = V426483. assign V340730 = V026390 + 1. assign V416693 = V809465 + 1. assign V893310 = V473830. assign V595034 = V340730 - 1. assign V975607 = V841805 - 1. assign V426483 = V596547 + 1. assign V685594 = V026390 - 1. assign V955238 = V629574 - 1. assign V803189 = V466732. assign V462311 = V836934. assign V473830 = V596547. assign V596547 = V416693. assign V704582 = V426483. assign V727469 = V913967 + 1. assign V829364 = V770250 - 1. assign V680085 = V285401. assign V770250 = V938492 - 1. assign V259697 = V180205. assign V589381 = V612099. assign V430494 = V416693 - 1. assign V036022 = V988404 + 1. assign V655459 = V473830 + 1. assign V913448 = V402429 - 1. assign V598319 = V466732 + 1. assign V814785 = V997718 - 1. assign V934560 = V182671 - 1. assign V938492 = V809465 - 1. assign V752188 = V281435 + 1. assign V960522 = V841805 - 1. assign V078767 = V284136 + 1. assign V273474 = V960317. assign V936062 = V466732. assign V180205 = V846349. assign V827719 = V026390 - 1. assign V428794 = V685594 + 1. assign V870831 = V426483. assign V387485 = V913967 + 1. assign V858661 = V841805 + 1. assign V500971 = V182671 - 1. assign V836934 = V960317 + 1. assign V640625 = V687696 + 1. assign V129146 = V936062. assign V733388 = V259697 + 1. assign V574981 = 0. assign V016295 = V870831 - 1. assign V993449 = V893310 + 1. assign V000075 = V234168. assign V111553 = V595034. assign V960317 = V078767 + 1. assign V400420 = V426483 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V026390 = V182671 + 1. assign V631827 = V273474 - 1. assign V988404 = V993449. assign V869930 = V012915. assign V649113 = V913448. assign V612099 = V993449 - 1. assign V913967 = V273474. assign V285401 = V340730. assign V056027 = V402429 + 1. assign V006765 = V078767 - 1. assign V886611 = V473830 + 1. assign V012915 = V402429. assign V402429 = V182671. assign V997718 = V595034 + 1. assign V182671 = V809465. assign V573547 = V430494. assign V846349 = V416693 + 1. assign V687696 = V340730. assign V435635 = V460307. assign V183218 = V612099. assign V841805 = V993449 + 1. assign V460307 = V655459 - 1. assign V334354 = V960522 - 1. assign V173337 = V574981 + 1. assign V222539 = V913448 - 1. assign V194650 = V955238 - 1. assign V425392 = V460307. assign V596078 = V770250. assign V234168 = V913967 + 1. assign V546463 = V056027 + 1. assign V466732 = V960317. assign V281435 = V426483 + 1. assign V513481 = V858661 - 1. assign V629574 = V402429 + 1. assign V106725 = V836934. assign V284136 = V426483. assign V340730 = V026390 + 1. assign V416693 = V809465 + 1. assign V893310 = V473830. assign V595034 = V340730 - 1. assign V975607 = V841805 - 1. assign V426483 = V596547 + 1. assign V685594 = V026390 - 1. assign V955238 = V629574 - 1. assign V803189 = V466732. assign V462311 = V836934. assign V473830 = V596547. assign V596547 = V416693. assign V704582 = V426483. assign V727469 = V913967 + 1. assign V829364 = V770250 - 1. assign V680085 = V285401. assign V770250 = V938492 - 1. assign V259697 = V180205. assign V589381 = V612099. assign V430494 = V416693 - 1. assign V036022 = V988404 + 1. assign V655459 = V473830 + 1. assign V913448 = V402429 - 1. assign V598319 = V466732 + 1. assign V814785 = V997718 - 1. assign V934560 = V182671 - 1. assign V938492 = V809465 - 1. assign V752188 = V281435 + 1. assign V960522 = V841805 - 1. assign V078767 = V284136 + 1. assign V273474 = V960317. assign V936062 = V466732. assign V180205 = V846349. assign V827719 = V026390 - 1. assign V428794 = V685594 + 1. assign V870831 = V426483. assign V387485 = V913967 + 1. assign V858661 = V841805 + 1. assign V500971 = V182671 - 1. assign V836934 = V960317 + 1. assign V640625 = V687696 + 1. assign V129146 = V936062. assign V733388 = V259697 + 1. assign V574981 = 0. assign V016295 = V870831 - 1. assign V993449 = V893310 + 1. assign V000075 = V234168. assign V111553 = V595034. assign V960317 = V078767 + 1. assign V400420 = V426483 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV574981 = 0;\n\nFrom these direct assignment(s), we have: \nV173337 = V574981 + 1 = 0 + 1 =1;\nNo other variables can be derived from V173337;\nNo other variables can be derived from V574981;\n\nNow we have done all the calculations. Derived variables are:\nV574981 = 0;\nV173337 = 1;\n\nNow we have finished this problem. ANSWER:\nV574981\n", "role": "assistant" } ]