Datasets:

---

suehyunpark

/

gsm_infinite_symbolic_1k_test_seed1000

like 0

[ "V481850" ]

[ { "content": "<context>\nassign V805325 = V882035 + 1. assign V132765 = V680046 - 1. assign V055005 = V944926. assign V690818 = V812599 - 1. assign V221075 = V115311 - 1. assign V967118 = V005919 + 1. assign V240863 = V958164 - 1. assign V170435 = V469963 + 1. assign V936225 = V648895 + 1. assign V422646 = V812599 + 1. assign V414728 = V680046 - 1. assign V152745 = 5. assign V276212 = V478093 - 1. assign V882035 = V739784. assign V838234 = V997948 - 1. assign V632041 = V638687. assign V388038 = V454572. assign V648895 = V201998 - 1. assign V808225 = V739784. assign V366725 = V958164. assign V406491 = V276212. assign V656745 = V324435. assign V669469 = V857754 + 1. assign V324435 = V214418 + 1. assign V477025 = V898087. assign V127204 = V189422. assign V393319 = V946175 - 1. assign V187129 = V648895 - 1. assign V469963 = V183236 - 1. assign V593659 = V582378 + 1. assign V478093 = V084047. assign V698043 = V454572 - 1. assign V857754 = V946175. assign V175127 = V997948. assign V678953 = V805325. assign V454572 = V680046. assign V582378 = V978281 + 1. assign V558787 = V414728 - 1. assign V027404 = V005919 - 1. assign V898087 = V115311 - 1. assign V201998 = V638687 - 1. assign V772497 = V648895 - 1. assign V289175 = V084047. assign V483507 = V811074. assign V168214 = V084047. assign V879655 = V654177 + 1. assign V154774 = V478093 + 1. assign V680046 = V214418. assign V978281 = V812599. assign V997948 = V978281. assign V481850 = V152745 + 1. assign V946175 = V978281. assign V811074 = V214418 - 1. assign V050213 = V690818 + 1. assign V752147 = V531486 + 1. assign V580860 = V593659 + 1. assign V189422 = V005919. assign V875423 = V324435 + 1. assign V767514 = V656745. assign V531486 = V324435. assign V793626 = V811074 - 1. assign V812599 = V289175. assign V005919 = V084047. assign V638687 = V812599 - 1. assign V115311 = V289175 - 1. assign V213772 = V978281. assign V958164 = V289175 + 1. assign V147672 = V967118 - 1. assign V248748 = V812599 - 1. assign V892860 = V978281. assign V197756 = V656745 - 1. assign V084047 = V214418. assign V351640 = V240863 + 1. assign V183236 = V680046. assign V668781 = V259093. assign V944926 = V214418 - 1. assign V363860 = V997948 + 1. assign V830814 = V967118 - 1. assign V429594 = V978281 + 1. assign V838882 = V958164 + 1. assign V412125 = V084047 - 1. assign V739784 = V189422 - 1. assign V993083 = V412125. assign V654177 = V214418 - 1. assign V130121 = V214418 - 1. assign V259093 = V214418.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V805325 = V882035 + 1. assign V132765 = V680046 - 1. assign V055005 = V944926. assign V690818 = V812599 - 1. assign V221075 = V115311 - 1. assign V967118 = V005919 + 1. assign V240863 = V958164 - 1. assign V170435 = V469963 + 1. assign V936225 = V648895 + 1. assign V422646 = V812599 + 1. assign V414728 = V680046 - 1. assign V152745 = 5. assign V276212 = V478093 - 1. assign V882035 = V739784. assign V838234 = V997948 - 1. assign V632041 = V638687. assign V388038 = V454572. assign V648895 = V201998 - 1. assign V808225 = V739784. assign V366725 = V958164. assign V406491 = V276212. assign V656745 = V324435. assign V669469 = V857754 + 1. assign V324435 = V214418 + 1. assign V477025 = V898087. assign V127204 = V189422. assign V393319 = V946175 - 1. assign V187129 = V648895 - 1. assign V469963 = V183236 - 1. assign V593659 = V582378 + 1. assign V478093 = V084047. assign V698043 = V454572 - 1. assign V857754 = V946175. assign V175127 = V997948. assign V678953 = V805325. assign V454572 = V680046. assign V582378 = V978281 + 1. assign V558787 = V414728 - 1. assign V027404 = V005919 - 1. assign V898087 = V115311 - 1. assign V201998 = V638687 - 1. assign V772497 = V648895 - 1. assign V289175 = V084047. assign V483507 = V811074. assign V168214 = V084047. assign V879655 = V654177 + 1. assign V154774 = V478093 + 1. assign V680046 = V214418. assign V978281 = V812599. assign V997948 = V978281. assign V481850 = V152745 + 1. assign V946175 = V978281. assign V811074 = V214418 - 1. assign V050213 = V690818 + 1. assign V752147 = V531486 + 1. assign V580860 = V593659 + 1. assign V189422 = V005919. assign V875423 = V324435 + 1. assign V767514 = V656745. assign V531486 = V324435. assign V793626 = V811074 - 1. assign V812599 = V289175. assign V005919 = V084047. assign V638687 = V812599 - 1. assign V115311 = V289175 - 1. assign V213772 = V978281. assign V958164 = V289175 + 1. assign V147672 = V967118 - 1. assign V248748 = V812599 - 1. assign V892860 = V978281. assign V197756 = V656745 - 1. assign V084047 = V214418. assign V351640 = V240863 + 1. assign V183236 = V680046. assign V668781 = V259093. assign V944926 = V214418 - 1. assign V363860 = V997948 + 1. assign V830814 = V967118 - 1. assign V429594 = V978281 + 1. assign V838882 = V958164 + 1. assign V412125 = V084047 - 1. assign V739784 = V189422 - 1. assign V993083 = V412125. assign V654177 = V214418 - 1. assign V130121 = V214418 - 1. assign V259093 = V214418.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV152745 = 5;\n\nFrom these direct assignment(s), we have: \nV481850 = V152745 + 1 = 5 + 1 =6;\nNo other variables can be derived from V481850;\nNo other variables can be derived from V152745;\n\nNow we have done all the calculations. Derived variables are:\nV152745 = 5;\nV481850 = 6;\n\nNow we have finished this problem. ANSWER:\nV481850\n", "role": "assistant" } ]

[ "V722949" ]

[ { "content": "<context>\nassign V558894 = V934135 - 1. assign V555389 = V923924 - 1. assign V514456 = V533849 - 1. assign V719767 = V953907 - 1. assign V084287 = V326347 - 1. assign V714595 = V641867 + 1. assign V928156 = V729824 + 1. assign V533849 = V655899. assign V244759 = V928156. assign V807090 = V533849. assign V632237 = V471727. assign V561350 = V095172 + 1. assign V323907 = V753802 - 1. assign V643342 = V191210. assign V917156 = V186110 + 1. assign V975475 = V165952. assign V044834 = V729824 + 1. assign V579814 = V165952. assign V934135 = V095172 + 1. assign V090491 = V558894. assign V191210 = V095172 - 1. assign V103426 = V163286 - 1. assign V641867 = V903264. assign V282522 = V423010 - 1. assign V786822 = V347842. assign V660285 = V095172. assign V801524 = V662020 - 1. assign V291331 = V326347. assign V530908 = V471727 - 1. assign V471727 = V579814 - 1. assign V426260 = V425757 + 1. assign V355301 = V165952 - 1. assign V218862 = V864016 + 1. assign V288848 = V643342 + 1. assign V988440 = V714595 + 1. assign V326347 = V729824 + 1. assign V717686 = V426260 + 1. assign V502415 = V530908 - 1. assign V828857 = V423010 - 1. assign V722949 = V359702 + 1. assign V163286 = V423010 - 1. assign V004786 = V444058. assign V662020 = V288848 + 1. assign V076209 = V801524 + 1. assign V425757 = V729824 + 1. assign V041503 = V655899. assign V301849 = V165952. assign V259551 = V502415 - 1. assign V392608 = V291331 - 1. assign V519898 = V828857. assign V685133 = V259551 - 1. assign V444058 = V163286 - 1. assign V923924 = V041503. assign V784136 = V717686. assign V641409 = V301849 + 1. assign V880345 = V834316 - 1. assign V782299 = V641867 - 1. assign V914939 = V423010 + 1. assign V655899 = V934135. assign V085459 = V326347 - 1. assign V455023 = V934135 - 1. assign V590008 = V244759 - 1. assign V347842 = V590008 + 1. assign V414690 = V641409 + 1. assign V864016 = V784136 + 1. assign V359702 = 7. assign V041588 = V729824 - 1. assign V729756 = V301849 + 1. assign V089451 = V244759 + 1. assign V903264 = V471727. assign V423010 = V326347. assign V455462 = V782299 + 1. assign V846594 = V471727 + 1. assign V834316 = V923924 + 1. assign V658427 = V301849 + 1. assign V186110 = V191210 + 1. assign V718548 = V326347 + 1. assign V165952 = V729824. assign V745070 = V834316. assign V953907 = V934135 + 1. assign V932606 = V729824 - 1. assign V386095 = V085459. assign V746923 = V880345. assign V775026 = V643342 - 1. assign V095172 = V579814 - 1. assign V753802 = V426260 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V558894 = V934135 - 1. assign V555389 = V923924 - 1. assign V514456 = V533849 - 1. assign V719767 = V953907 - 1. assign V084287 = V326347 - 1. assign V714595 = V641867 + 1. assign V928156 = V729824 + 1. assign V533849 = V655899. assign V244759 = V928156. assign V807090 = V533849. assign V632237 = V471727. assign V561350 = V095172 + 1. assign V323907 = V753802 - 1. assign V643342 = V191210. assign V917156 = V186110 + 1. assign V975475 = V165952. assign V044834 = V729824 + 1. assign V579814 = V165952. assign V934135 = V095172 + 1. assign V090491 = V558894. assign V191210 = V095172 - 1. assign V103426 = V163286 - 1. assign V641867 = V903264. assign V282522 = V423010 - 1. assign V786822 = V347842. assign V660285 = V095172. assign V801524 = V662020 - 1. assign V291331 = V326347. assign V530908 = V471727 - 1. assign V471727 = V579814 - 1. assign V426260 = V425757 + 1. assign V355301 = V165952 - 1. assign V218862 = V864016 + 1. assign V288848 = V643342 + 1. assign V988440 = V714595 + 1. assign V326347 = V729824 + 1. assign V717686 = V426260 + 1. assign V502415 = V530908 - 1. assign V828857 = V423010 - 1. assign V722949 = V359702 + 1. assign V163286 = V423010 - 1. assign V004786 = V444058. assign V662020 = V288848 + 1. assign V076209 = V801524 + 1. assign V425757 = V729824 + 1. assign V041503 = V655899. assign V301849 = V165952. assign V259551 = V502415 - 1. assign V392608 = V291331 - 1. assign V519898 = V828857. assign V685133 = V259551 - 1. assign V444058 = V163286 - 1. assign V923924 = V041503. assign V784136 = V717686. assign V641409 = V301849 + 1. assign V880345 = V834316 - 1. assign V782299 = V641867 - 1. assign V914939 = V423010 + 1. assign V655899 = V934135. assign V085459 = V326347 - 1. assign V455023 = V934135 - 1. assign V590008 = V244759 - 1. assign V347842 = V590008 + 1. assign V414690 = V641409 + 1. assign V864016 = V784136 + 1. assign V359702 = 7. assign V041588 = V729824 - 1. assign V729756 = V301849 + 1. assign V089451 = V244759 + 1. assign V903264 = V471727. assign V423010 = V326347. assign V455462 = V782299 + 1. assign V846594 = V471727 + 1. assign V834316 = V923924 + 1. assign V658427 = V301849 + 1. assign V186110 = V191210 + 1. assign V718548 = V326347 + 1. assign V165952 = V729824. assign V745070 = V834316. assign V953907 = V934135 + 1. assign V932606 = V729824 - 1. assign V386095 = V085459. assign V746923 = V880345. assign V775026 = V643342 - 1. assign V095172 = V579814 - 1. assign V753802 = V426260 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV359702 = 7;\n\nFrom these direct assignment(s), we have: \nV722949 = V359702 + 1 = 7 + 1 =8;\nNo other variables can be derived from V722949;\nNo other variables can be derived from V359702;\n\nNow we have done all the calculations. Derived variables are:\nV359702 = 7;\nV722949 = 8;\n\nNow we have finished this problem. ANSWER:\nV722949\n", "role": "assistant" } ]

[ "V718556", "V075463" ]

[ { "content": "<context>\nassign V199959 = V985563 + 1. assign V031616 = V890733 - 1. assign V889733 = V329907 - 1. assign V545754 = V847267 - 1. assign V633828 = V856794 - 1. assign V622012 = V183182 - 1. assign V847267 = V720651 + 1. assign V667481 = V310895. assign V695408 = V856794. assign V271733 = V916233. assign V083752 = V345767 + 1. assign V019652 = V916233 - 1. assign V889236 = V633807 + 1. assign V635873 = V466108 - 1. assign V066937 = V329907. assign V310895 = V295723 + 1. assign V505060 = V183182 + 1. assign V890733 = V345767. assign V458431 = V517732 + 1. assign V257153 = V271733 + 1. assign V958405 = V622012 + 1. assign V016008 = V649915 + 1. assign V856794 = V019652 - 1. assign V932692 = V856794. assign V954027 = V863537 + 1. assign V157791 = V396408. assign V718556 = 5. assign V083643 = V111892 - 1. assign V937989 = V002123 + 1. assign V291633 = V458431 - 1. assign V892500 = V396408 - 1. assign V049993 = V868355 - 1. assign V774432 = V848516. assign V859048 = V019652 - 1. assign V418678 = V937989 - 1. assign V671058 = V002123 - 1. assign V720651 = V019652 + 1. assign V656286 = V712676. assign V694639 = V671058 - 1. assign V852431 = V271733 - 1. assign V383141 = V458431. assign V626685 = V183182 - 1. assign V295723 = V720651 + 1. assign V014928 = V257153 + 1. assign V111892 = V852431 - 1. assign V796135 = V002123 - 1. assign V712676 = V890733 - 1. assign V470457 = V329907. assign V183182 = V271733. assign V953580 = V720651. assign V038660 = V868355 - 1. assign V002123 = V271733. assign V101270 = V587082. assign V510235 = V271733 - 1. assign V517732 = V720651 - 1. assign V863549 = V649915 - 1. assign V649915 = V916233 - 1. assign V733287 = V649915 - 1. assign V991314 = V510235 + 1. assign V950739 = V330975 + 1. assign V633807 = V916233 - 1. assign V557592 = V613413. assign V985563 = V295723. assign V587082 = V271733 - 1. assign V863537 = V985563. assign V396408 = V505060 - 1. assign V345767 = V587082 + 1. assign V369782 = V856794. assign V613413 = V098957 - 1. assign V658535 = V418678 + 1. assign V330975 = V695408 + 1. assign V041169 = V916233. assign V193933 = V720651. assign V719685 = V101270. assign V466108 = V183182. assign V098957 = V193933 + 1. assign V206788 = V098957. assign V883612 = V649915 - 1. assign V075463 = V718556. assign V742959 = V083643 - 1. assign V848516 = V098957. assign V868355 = V925258 + 1. assign V542269 = V985563. assign V329907 = V101270. assign V597305 = V019652. assign V925258 = V019652.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V199959 = V985563 + 1. assign V031616 = V890733 - 1. assign V889733 = V329907 - 1. assign V545754 = V847267 - 1. assign V633828 = V856794 - 1. assign V622012 = V183182 - 1. assign V847267 = V720651 + 1. assign V667481 = V310895. assign V695408 = V856794. assign V271733 = V916233. assign V083752 = V345767 + 1. assign V019652 = V916233 - 1. assign V889236 = V633807 + 1. assign V635873 = V466108 - 1. assign V066937 = V329907. assign V310895 = V295723 + 1. assign V505060 = V183182 + 1. assign V890733 = V345767. assign V458431 = V517732 + 1. assign V257153 = V271733 + 1. assign V958405 = V622012 + 1. assign V016008 = V649915 + 1. assign V856794 = V019652 - 1. assign V932692 = V856794. assign V954027 = V863537 + 1. assign V157791 = V396408. assign V718556 = 5. assign V083643 = V111892 - 1. assign V937989 = V002123 + 1. assign V291633 = V458431 - 1. assign V892500 = V396408 - 1. assign V049993 = V868355 - 1. assign V774432 = V848516. assign V859048 = V019652 - 1. assign V418678 = V937989 - 1. assign V671058 = V002123 - 1. assign V720651 = V019652 + 1. assign V656286 = V712676. assign V694639 = V671058 - 1. assign V852431 = V271733 - 1. assign V383141 = V458431. assign V626685 = V183182 - 1. assign V295723 = V720651 + 1. assign V014928 = V257153 + 1. assign V111892 = V852431 - 1. assign V796135 = V002123 - 1. assign V712676 = V890733 - 1. assign V470457 = V329907. assign V183182 = V271733. assign V953580 = V720651. assign V038660 = V868355 - 1. assign V002123 = V271733. assign V101270 = V587082. assign V510235 = V271733 - 1. assign V517732 = V720651 - 1. assign V863549 = V649915 - 1. assign V649915 = V916233 - 1. assign V733287 = V649915 - 1. assign V991314 = V510235 + 1. assign V950739 = V330975 + 1. assign V633807 = V916233 - 1. assign V557592 = V613413. assign V985563 = V295723. assign V587082 = V271733 - 1. assign V863537 = V985563. assign V396408 = V505060 - 1. assign V345767 = V587082 + 1. assign V369782 = V856794. assign V613413 = V098957 - 1. assign V658535 = V418678 + 1. assign V330975 = V695408 + 1. assign V041169 = V916233. assign V193933 = V720651. assign V719685 = V101270. assign V466108 = V183182. assign V098957 = V193933 + 1. assign V206788 = V098957. assign V883612 = V649915 - 1. assign V075463 = V718556. assign V742959 = V083643 - 1. assign V848516 = V098957. assign V868355 = V925258 + 1. assign V542269 = V985563. assign V329907 = V101270. assign V597305 = V019652. assign V925258 = V019652.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV718556 = 5;\n\nFrom these direct assignment(s), we have: \nV075463 = V718556 = 5;\nNo other variables can be derived from V075463;\nNo other variables can be derived from V718556;\n\nNow we have done all the calculations. Derived variables are:\nV718556 = 5;\nV075463 = 5;\n\nNow we have finished this problem. ANSWER:\nV718556, V075463\n", "role": "assistant" } ]

[ "V736412", "V515754" ]

[ { "content": "<context>\nassign V232467 = V605180. assign V981694 = V902107. assign V642756 = V279978 + 1. assign V053238 = V051263 - 1. assign V610112 = V897042 + 1. assign V279610 = V790721. assign V902107 = V021667 + 1. assign V803784 = V126209 + 1. assign V869656 = V279978 - 1. assign V058207 = V258085 - 1. assign V364696 = V503160 + 1. assign V388677 = V960328 + 1. assign V977585 = V934024 - 1. assign V925575 = V324440 - 1. assign V126209 = V404838. assign V740777 = V503160 + 1. assign V673594 = V336746 + 1. assign V980754 = V605180 + 1. assign V245145 = V051263 + 1. assign V095108 = V740777. assign V113726 = V364696 - 1. assign V590433 = V663673. assign V636826 = V975449 - 1. assign V503160 = V090366. assign V126905 = V324440. assign V519769 = V297064 + 1. assign V942333 = V798031 + 1. assign V297064 = V113726. assign V514987 = V902107 + 1. assign V324440 = V605180 + 1. assign V263390 = V258085 - 1. assign V232225 = V980754. assign V721183 = V975449 - 1. assign V190515 = V191017 + 1. assign V605180 = V258085 + 1. assign V736412 = 10. assign V336746 = V663673 - 1. assign V997665 = V980754 - 1. assign V540335 = V977585. assign V712492 = V790721 + 1. assign V676480 = V021667. assign V721415 = V279978 + 1. assign V767802 = V663673 - 1. assign V451673 = V021667 + 1. assign V404838 = V021667. assign V826661 = V960328 - 1. assign V041153 = V925575 - 1. assign V059068 = V803784 + 1. assign V403533 = V258085 + 1. assign V381629 = V981694. assign V831059 = V404838. assign V663673 = V090366. assign V934024 = V126209 - 1. assign V960328 = V364696. assign V798031 = V051263 - 1. assign V762518 = V409819 - 1. assign V975449 = V090366 - 1. assign V604147 = V997665. assign V282706 = V610112 + 1. assign V275767 = V514987 - 1. assign V051263 = V663673 - 1. assign V066308 = V712492 + 1. assign V055064 = V126209. assign V179854 = V925575 - 1. assign V854692 = V066308 + 1. assign V810839 = V514987 + 1. assign V191017 = V403533 - 1. assign V279978 = V051263 - 1. assign V021667 = V258085 + 1. assign V260274 = V263390. assign V982100 = V803784 + 1. assign V766673 = V503160. assign V258085 = V090366 - 1. assign V446640 = V854692. assign V755024 = V090366 + 1. assign V637529 = V902107 - 1. assign V515754 = V736412. assign V800687 = V191017 - 1. assign V509745 = V275767 - 1. assign V810535 = V854692. assign V059893 = V126209 - 1. assign V790721 = V090366 - 1. assign V897042 = V503160 - 1. assign V409819 = V336746. assign V943669 = V051263. assign V046755 = V981694 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V232467 = V605180. assign V981694 = V902107. assign V642756 = V279978 + 1. assign V053238 = V051263 - 1. assign V610112 = V897042 + 1. assign V279610 = V790721. assign V902107 = V021667 + 1. assign V803784 = V126209 + 1. assign V869656 = V279978 - 1. assign V058207 = V258085 - 1. assign V364696 = V503160 + 1. assign V388677 = V960328 + 1. assign V977585 = V934024 - 1. assign V925575 = V324440 - 1. assign V126209 = V404838. assign V740777 = V503160 + 1. assign V673594 = V336746 + 1. assign V980754 = V605180 + 1. assign V245145 = V051263 + 1. assign V095108 = V740777. assign V113726 = V364696 - 1. assign V590433 = V663673. assign V636826 = V975449 - 1. assign V503160 = V090366. assign V126905 = V324440. assign V519769 = V297064 + 1. assign V942333 = V798031 + 1. assign V297064 = V113726. assign V514987 = V902107 + 1. assign V324440 = V605180 + 1. assign V263390 = V258085 - 1. assign V232225 = V980754. assign V721183 = V975449 - 1. assign V190515 = V191017 + 1. assign V605180 = V258085 + 1. assign V736412 = 10. assign V336746 = V663673 - 1. assign V997665 = V980754 - 1. assign V540335 = V977585. assign V712492 = V790721 + 1. assign V676480 = V021667. assign V721415 = V279978 + 1. assign V767802 = V663673 - 1. assign V451673 = V021667 + 1. assign V404838 = V021667. assign V826661 = V960328 - 1. assign V041153 = V925575 - 1. assign V059068 = V803784 + 1. assign V403533 = V258085 + 1. assign V381629 = V981694. assign V831059 = V404838. assign V663673 = V090366. assign V934024 = V126209 - 1. assign V960328 = V364696. assign V798031 = V051263 - 1. assign V762518 = V409819 - 1. assign V975449 = V090366 - 1. assign V604147 = V997665. assign V282706 = V610112 + 1. assign V275767 = V514987 - 1. assign V051263 = V663673 - 1. assign V066308 = V712492 + 1. assign V055064 = V126209. assign V179854 = V925575 - 1. assign V854692 = V066308 + 1. assign V810839 = V514987 + 1. assign V191017 = V403533 - 1. assign V279978 = V051263 - 1. assign V021667 = V258085 + 1. assign V260274 = V263390. assign V982100 = V803784 + 1. assign V766673 = V503160. assign V258085 = V090366 - 1. assign V446640 = V854692. assign V755024 = V090366 + 1. assign V637529 = V902107 - 1. assign V515754 = V736412. assign V800687 = V191017 - 1. assign V509745 = V275767 - 1. assign V810535 = V854692. assign V059893 = V126209 - 1. assign V790721 = V090366 - 1. assign V897042 = V503160 - 1. assign V409819 = V336746. assign V943669 = V051263. assign V046755 = V981694 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV736412 = 10;\n\nFrom these direct assignment(s), we have: \nV515754 = V736412 = 10;\nNo other variables can be derived from V515754;\nNo other variables can be derived from V736412;\n\nNow we have done all the calculations. Derived variables are:\nV736412 = 10;\nV515754 = 10;\n\nNow we have finished this problem. ANSWER:\nV736412, V515754\n", "role": "assistant" } ]

[ "V208586" ]

[ { "content": "<context>\nassign V961318 = V208586 + 1. assign V618627 = V622156 + 1. assign V382105 = V995668 + 1. assign V397662 = V945928 + 1. assign V920202 = V697864 - 1. assign V938575 = V920202. assign V783717 = V908538. assign V389109 = V282522 - 1. assign V630743 = V618627 - 1. assign V730552 = V630743 - 1. assign V908502 = V908538. assign V094028 = V012415. assign V169032 = V219494 + 1. assign V356279 = V721164. assign V895330 = V719709 + 1. assign V528332 = V656212 + 1. assign V307347 = V318948 + 1. assign V835742 = V957886 - 1. assign V908538 = V827070 + 1. assign V055520 = V424536 - 1. assign V208586 = 9. assign V719709 = V382105. assign V288032 = V908538 + 1. assign V044784 = V102045. assign V219494 = V982313 - 1. assign V202518 = V987870 + 1. assign V265431 = V895330 - 1. assign V168739 = V920202 + 1. assign V446497 = V397662 + 1. assign V104097 = V098418 + 1. assign V605663 = V308211. assign V697864 = V827070 + 1. assign V804299 = V920202 - 1. assign V052102 = V827070 + 1. assign V308211 = V055520. assign V400934 = V288032 - 1. assign V318948 = V697864 + 1. assign V195929 = V920202. assign V407994 = V804299 - 1. assign V959103 = V389109 - 1. assign V615808 = V945928 + 1. assign V417374 = V697864. assign V931393 = V528332. assign V188988 = V168739. assign V340391 = V288032 + 1. assign V418673 = V282522 + 1. assign V705265 = V328076 + 1. assign V237946 = V328076 + 1. assign V012415 = V827070 + 1. assign V297694 = V835742. assign V957886 = V424536 - 1. assign V729207 = V835742 + 1. assign V288444 = V615808. assign V282522 = V827070 + 1. assign V987870 = V452675 - 1. assign V102045 = V288032 - 1. assign V021831 = V656212. assign V982313 = V656212 + 1. assign V424536 = V995668 + 1. assign V547918 = V804299 + 1. assign V183331 = V730552 + 1. assign V656212 = V622156 + 1. assign V001767 = V697864 - 1. assign V371618 = V021831 - 1. assign V375145 = V992467 - 1. assign V721164 = V102045. assign V622156 = V920202 - 1. assign V436036 = V945928 - 1. assign V335001 = V804299 - 1. assign V917955 = V618627. assign V992467 = V318948. assign V127554 = V957886 + 1. assign V257938 = V052102. assign V771416 = V407994 - 1. assign V328076 = V335001 - 1. assign V535047 = V758968. assign V949087 = V021831 + 1. assign V995668 = V528332 - 1. assign V758968 = V052102. assign V612306 = V282522 + 1. assign V452675 = V397662 - 1. assign V805474 = V920202 + 1. assign V098418 = V102045 - 1. assign V286851 = V528332 + 1. assign V945928 = V528332. assign V128817 = V656212 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V961318 = V208586 + 1. assign V618627 = V622156 + 1. assign V382105 = V995668 + 1. assign V397662 = V945928 + 1. assign V920202 = V697864 - 1. assign V938575 = V920202. assign V783717 = V908538. assign V389109 = V282522 - 1. assign V630743 = V618627 - 1. assign V730552 = V630743 - 1. assign V908502 = V908538. assign V094028 = V012415. assign V169032 = V219494 + 1. assign V356279 = V721164. assign V895330 = V719709 + 1. assign V528332 = V656212 + 1. assign V307347 = V318948 + 1. assign V835742 = V957886 - 1. assign V908538 = V827070 + 1. assign V055520 = V424536 - 1. assign V208586 = 9. assign V719709 = V382105. assign V288032 = V908538 + 1. assign V044784 = V102045. assign V219494 = V982313 - 1. assign V202518 = V987870 + 1. assign V265431 = V895330 - 1. assign V168739 = V920202 + 1. assign V446497 = V397662 + 1. assign V104097 = V098418 + 1. assign V605663 = V308211. assign V697864 = V827070 + 1. assign V804299 = V920202 - 1. assign V052102 = V827070 + 1. assign V308211 = V055520. assign V400934 = V288032 - 1. assign V318948 = V697864 + 1. assign V195929 = V920202. assign V407994 = V804299 - 1. assign V959103 = V389109 - 1. assign V615808 = V945928 + 1. assign V417374 = V697864. assign V931393 = V528332. assign V188988 = V168739. assign V340391 = V288032 + 1. assign V418673 = V282522 + 1. assign V705265 = V328076 + 1. assign V237946 = V328076 + 1. assign V012415 = V827070 + 1. assign V297694 = V835742. assign V957886 = V424536 - 1. assign V729207 = V835742 + 1. assign V288444 = V615808. assign V282522 = V827070 + 1. assign V987870 = V452675 - 1. assign V102045 = V288032 - 1. assign V021831 = V656212. assign V982313 = V656212 + 1. assign V424536 = V995668 + 1. assign V547918 = V804299 + 1. assign V183331 = V730552 + 1. assign V656212 = V622156 + 1. assign V001767 = V697864 - 1. assign V371618 = V021831 - 1. assign V375145 = V992467 - 1. assign V721164 = V102045. assign V622156 = V920202 - 1. assign V436036 = V945928 - 1. assign V335001 = V804299 - 1. assign V917955 = V618627. assign V992467 = V318948. assign V127554 = V957886 + 1. assign V257938 = V052102. assign V771416 = V407994 - 1. assign V328076 = V335001 - 1. assign V535047 = V758968. assign V949087 = V021831 + 1. assign V995668 = V528332 - 1. assign V758968 = V052102. assign V612306 = V282522 + 1. assign V452675 = V397662 - 1. assign V805474 = V920202 + 1. assign V098418 = V102045 - 1. assign V286851 = V528332 + 1. assign V945928 = V528332. assign V128817 = V656212 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV208586 = 9;\n\nFrom these direct assignment(s), we have: \nV961318 = V208586 + 1 = 9 + 1 =10;\nNo other variables can be derived from V961318;\nNo other variables can be derived from V208586;\n\nNow we have done all the calculations. Derived variables are:\nV208586 = 9;\nV961318 = 10;\n\nNow we have finished this problem. ANSWER:\nV208586\n", "role": "assistant" } ]

[ "V023857", "V682969" ]

[ { "content": "<context>\nassign V380319 = V977132 - 1. assign V223769 = V826721 - 1. assign V754022 = V926891 + 1. assign V231180 = V155075 - 1. assign V932498 = V583509 - 1. assign V284039 = V534037 + 1. assign V510165 = V031831 + 1. assign V522498 = V311790 - 1. assign V443949 = V876106. assign V210388 = V426974. assign V772654 = V754022 + 1. assign V210034 = V212539 + 1. assign V624374 = V031831 - 1. assign V977132 = V522498 + 1. assign V168110 = V695878 + 1. assign V411188 = V031831. assign V968821 = V255530. assign V104352 = V568810. assign V311790 = V210388. assign V186147 = V826721 - 1. assign V738203 = V417355. assign V876106 = V708091 - 1. assign V255530 = V210388. assign V498591 = V255530 + 1. assign V155075 = V886123 - 1. assign V695878 = V656634 - 1. assign V596481 = V426974. assign V880614 = V583509. assign V417355 = V982476. assign V538801 = V926891 + 1. assign V672639 = V142693 + 1. assign V656634 = V489291 + 1. assign V150546 = V506522. assign V871346 = V926891 - 1. assign V798445 = V661065 - 1. assign V704187 = V754022 - 1. assign V629496 = V886123. assign V304270 = V426974. assign V351232 = V580647. assign V907092 = V455392. assign V908773 = V810553 + 1. assign V628037 = V150546 - 1. assign V816640 = V926891 - 1. assign V580647 = V426974. assign V239846 = V589119. assign V866429 = V932498. assign V914800 = V055456 + 1. assign V283090 = V210388 + 1. assign V396089 = V210034 - 1. assign V187393 = V210388. assign V886123 = V349304 - 1. assign V031831 = V210388 - 1. assign V982476 = V304270 + 1. assign V926891 = V031831 - 1. assign V661065 = V255530. assign V333095 = V498591 - 1. assign V965434 = V704187. assign V222405 = V489291 + 1. assign V645038 = V255530 - 1. assign V889324 = V210388 - 1. assign V687509 = V187393 + 1. assign V583509 = V426974. assign V055456 = V155075 - 1. assign V810553 = V596481 + 1. assign V837785 = V212539 - 1. assign V465584 = V738203 - 1. assign V506522 = V187393. assign V589119 = V538473 + 1. assign V826721 = V772654 - 1. assign V592704 = V871346. assign V708091 = V932498. assign V534037 = V426992 - 1. assign V568810 = V982476. assign V349304 = V210388. assign V023857 = 2. assign V212539 = V534037 + 1. assign V968473 = V349304 - 1. assign V142693 = V510165. assign V952749 = V889324 - 1. assign V489291 = V583509. assign V682969 = V023857. assign V538473 = V583509 - 1. assign V503667 = V506522 - 1. assign V426992 = V210388 + 1. assign V232006 = V656634 - 1. assign V455392 = V772654 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V380319 = V977132 - 1. assign V223769 = V826721 - 1. assign V754022 = V926891 + 1. assign V231180 = V155075 - 1. assign V932498 = V583509 - 1. assign V284039 = V534037 + 1. assign V510165 = V031831 + 1. assign V522498 = V311790 - 1. assign V443949 = V876106. assign V210388 = V426974. assign V772654 = V754022 + 1. assign V210034 = V212539 + 1. assign V624374 = V031831 - 1. assign V977132 = V522498 + 1. assign V168110 = V695878 + 1. assign V411188 = V031831. assign V968821 = V255530. assign V104352 = V568810. assign V311790 = V210388. assign V186147 = V826721 - 1. assign V738203 = V417355. assign V876106 = V708091 - 1. assign V255530 = V210388. assign V498591 = V255530 + 1. assign V155075 = V886123 - 1. assign V695878 = V656634 - 1. assign V596481 = V426974. assign V880614 = V583509. assign V417355 = V982476. assign V538801 = V926891 + 1. assign V672639 = V142693 + 1. assign V656634 = V489291 + 1. assign V150546 = V506522. assign V871346 = V926891 - 1. assign V798445 = V661065 - 1. assign V704187 = V754022 - 1. assign V629496 = V886123. assign V304270 = V426974. assign V351232 = V580647. assign V907092 = V455392. assign V908773 = V810553 + 1. assign V628037 = V150546 - 1. assign V816640 = V926891 - 1. assign V580647 = V426974. assign V239846 = V589119. assign V866429 = V932498. assign V914800 = V055456 + 1. assign V283090 = V210388 + 1. assign V396089 = V210034 - 1. assign V187393 = V210388. assign V886123 = V349304 - 1. assign V031831 = V210388 - 1. assign V982476 = V304270 + 1. assign V926891 = V031831 - 1. assign V661065 = V255530. assign V333095 = V498591 - 1. assign V965434 = V704187. assign V222405 = V489291 + 1. assign V645038 = V255530 - 1. assign V889324 = V210388 - 1. assign V687509 = V187393 + 1. assign V583509 = V426974. assign V055456 = V155075 - 1. assign V810553 = V596481 + 1. assign V837785 = V212539 - 1. assign V465584 = V738203 - 1. assign V506522 = V187393. assign V589119 = V538473 + 1. assign V826721 = V772654 - 1. assign V592704 = V871346. assign V708091 = V932498. assign V534037 = V426992 - 1. assign V568810 = V982476. assign V349304 = V210388. assign V023857 = 2. assign V212539 = V534037 + 1. assign V968473 = V349304 - 1. assign V142693 = V510165. assign V952749 = V889324 - 1. assign V489291 = V583509. assign V682969 = V023857. assign V538473 = V583509 - 1. assign V503667 = V506522 - 1. assign V426992 = V210388 + 1. assign V232006 = V656634 - 1. assign V455392 = V772654 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV023857 = 2;\n\nFrom these direct assignment(s), we have: \nV682969 = V023857 = 2;\nNo other variables can be derived from V682969;\nNo other variables can be derived from V023857;\n\nNow we have done all the calculations. Derived variables are:\nV023857 = 2;\nV682969 = 2;\n\nNow we have finished this problem. ANSWER:\nV023857, V682969\n", "role": "assistant" } ]

[ "V375963", "V333506" ]

[ { "content": "<context>\nassign V358854 = V582019 + 1. assign V537422 = V853242. assign V714316 = V395115 + 1. assign V258877 = V926576 - 1. assign V180160 = V933750 - 1. assign V425433 = V052542 + 1. assign V033091 = V400587 - 1. assign V190126 = V582019. assign V375963 = 3. assign V904804 = V933750 + 1. assign V881496 = V082244 + 1. assign V748013 = V400587 - 1. assign V945382 = V143369 + 1. assign V293913 = V358854 - 1. assign V024100 = V313134. assign V582019 = V564824 - 1. assign V052542 = V296841. assign V807169 = V258877. assign V708513 = V933750. assign V667151 = V196511 + 1. assign V131071 = V749672 - 1. assign V358948 = V841912. assign V173105 = V749672. assign V571596 = V853242. assign V116688 = V293913 + 1. assign V477908 = V841912 + 1. assign V030514 = V926576. assign V549585 = V271964 + 1. assign V825653 = V395115 + 1. assign V646250 = V770733 + 1. assign V930103 = V310422 + 1. assign V938274 = V933750. assign V422569 = V938722. assign V950808 = V296841 + 1. assign V554587 = V749672 + 1. assign V022208 = V928675 + 1. assign V271964 = V926576. assign V415127 = V770733. assign V196511 = V571596 - 1. assign V959091 = V344307 + 1. assign V087437 = V898147. assign V909077 = V196511. assign V938722 = V770733 - 1. assign V933750 = V143369 - 1. assign V547444 = V928675 - 1. assign V348114 = V582019. assign V898147 = V406642. assign V883248 = V537422. assign V333506 = V375963. assign V181247 = V807169 + 1. assign V853242 = V926576 - 1. assign V330397 = V554587. assign V806185 = V554587. assign V770733 = V395115 - 1. assign V370424 = V904804 - 1. assign V313134 = V926576. assign V400587 = V825653. assign V624871 = V950808 - 1. assign V697070 = V748013. assign V406642 = V051404 - 1. assign V479072 = V564824 + 1. assign V618110 = V646250 + 1. assign V333928 = V196511. assign V255245 = V310422. assign V701974 = V022208. assign V082244 = V143369 - 1. assign V143369 = V825653. assign V749672 = V748013 + 1. assign V610934 = V425433 - 1. assign V395115 = V051404 - 1. assign V616311 = V711023 - 1. assign V564824 = V313134. assign V296841 = V180160 - 1. assign V615044 = V841912. assign V117396 = V348114 - 1. assign V442503 = V582019. assign V051404 = V564824. assign V310422 = V180160 + 1. assign V508143 = V313134 - 1. assign V841912 = V748013. assign V344307 = V825653 + 1. assign V476806 = V313134. assign V928675 = V313134 - 1. assign V711023 = V296841 - 1. assign V383727 = V258877 + 1. assign V162132 = V646250 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V358854 = V582019 + 1. assign V537422 = V853242. assign V714316 = V395115 + 1. assign V258877 = V926576 - 1. assign V180160 = V933750 - 1. assign V425433 = V052542 + 1. assign V033091 = V400587 - 1. assign V190126 = V582019. assign V375963 = 3. assign V904804 = V933750 + 1. assign V881496 = V082244 + 1. assign V748013 = V400587 - 1. assign V945382 = V143369 + 1. assign V293913 = V358854 - 1. assign V024100 = V313134. assign V582019 = V564824 - 1. assign V052542 = V296841. assign V807169 = V258877. assign V708513 = V933750. assign V667151 = V196511 + 1. assign V131071 = V749672 - 1. assign V358948 = V841912. assign V173105 = V749672. assign V571596 = V853242. assign V116688 = V293913 + 1. assign V477908 = V841912 + 1. assign V030514 = V926576. assign V549585 = V271964 + 1. assign V825653 = V395115 + 1. assign V646250 = V770733 + 1. assign V930103 = V310422 + 1. assign V938274 = V933750. assign V422569 = V938722. assign V950808 = V296841 + 1. assign V554587 = V749672 + 1. assign V022208 = V928675 + 1. assign V271964 = V926576. assign V415127 = V770733. assign V196511 = V571596 - 1. assign V959091 = V344307 + 1. assign V087437 = V898147. assign V909077 = V196511. assign V938722 = V770733 - 1. assign V933750 = V143369 - 1. assign V547444 = V928675 - 1. assign V348114 = V582019. assign V898147 = V406642. assign V883248 = V537422. assign V333506 = V375963. assign V181247 = V807169 + 1. assign V853242 = V926576 - 1. assign V330397 = V554587. assign V806185 = V554587. assign V770733 = V395115 - 1. assign V370424 = V904804 - 1. assign V313134 = V926576. assign V400587 = V825653. assign V624871 = V950808 - 1. assign V697070 = V748013. assign V406642 = V051404 - 1. assign V479072 = V564824 + 1. assign V618110 = V646250 + 1. assign V333928 = V196511. assign V255245 = V310422. assign V701974 = V022208. assign V082244 = V143369 - 1. assign V143369 = V825653. assign V749672 = V748013 + 1. assign V610934 = V425433 - 1. assign V395115 = V051404 - 1. assign V616311 = V711023 - 1. assign V564824 = V313134. assign V296841 = V180160 - 1. assign V615044 = V841912. assign V117396 = V348114 - 1. assign V442503 = V582019. assign V051404 = V564824. assign V310422 = V180160 + 1. assign V508143 = V313134 - 1. assign V841912 = V748013. assign V344307 = V825653 + 1. assign V476806 = V313134. assign V928675 = V313134 - 1. assign V711023 = V296841 - 1. assign V383727 = V258877 + 1. assign V162132 = V646250 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV375963 = 3;\n\nFrom these direct assignment(s), we have: \nV333506 = V375963 = 3;\nNo other variables can be derived from V333506;\nNo other variables can be derived from V375963;\n\nNow we have done all the calculations. Derived variables are:\nV375963 = 3;\nV333506 = 3;\n\nNow we have finished this problem. ANSWER:\nV375963, V333506\n", "role": "assistant" } ]

[ "V555418" ]

[ { "content": "<context>\nassign V607951 = V877155. assign V776367 = V149221 + 1. assign V150952 = V310947 + 1. assign V310947 = V698293. assign V095075 = V877155 - 1. assign V639686 = V256959 - 1. assign V149221 = V077349 - 1. assign V384275 = V517577. assign V406903 = V618387 - 1. assign V069853 = V668441 + 1. assign V850784 = V149221 + 1. assign V209879 = V462029 - 1. assign V896014 = V209879 - 1. assign V705814 = V776367 + 1. assign V259524 = V077349 + 1. assign V082826 = V705814. assign V618387 = V924496 - 1. assign V613878 = V668441 + 1. assign V107451 = V099852 + 1. assign V198361 = V107451 + 1. assign V099393 = V423407. assign V877155 = V462029. assign V158277 = V150952 + 1. assign V301791 = V400799. assign V517577 = V077349 - 1. assign V133392 = V920556. assign V698938 = 5. assign V562474 = V636358. assign V077349 = V462029. assign V135269 = V805478 + 1. assign V754573 = V850784 + 1. assign V700355 = V517577 + 1. assign V465725 = V056593. assign V056593 = V149221 + 1. assign V023076 = V717897 - 1. assign V255482 = V636358. assign V555418 = V698938 + 1. assign V771371 = V147518 + 1. assign V462029 = V258086 - 1. assign V657978 = V237856 - 1. assign V410202 = V462029 + 1. assign V294441 = V147518 + 1. assign V099852 = V258086 + 1. assign V698293 = V147518 - 1. assign V637058 = V418287. assign V370297 = V056718 + 1. assign V819867 = V056718. assign V717897 = V406903 - 1. assign V923044 = V705814 + 1. assign V668441 = V805478. assign V062408 = V618387 - 1. assign V056718 = V698293 - 1. assign V147518 = V258086. assign V805478 = V259524. assign V370979 = V056718. assign V965197 = V920556 + 1. assign V924496 = V259524 - 1. assign V327492 = V808167 + 1. assign V668069 = V107451 + 1. assign V820976 = V095075 + 1. assign V400799 = V967775 + 1. assign V498328 = V805478. assign V237856 = V209879. assign V032703 = V023076. assign V680259 = V705814 - 1. assign V334701 = V410202. assign V157256 = V613878. assign V368525 = V920556 + 1. assign V256959 = V808167 - 1. assign V591796 = V334701 + 1. assign V979353 = V705814 + 1. assign V920556 = V462029 + 1. assign V988330 = V462029 - 1. assign V906717 = V877155. assign V423407 = V259524 + 1. assign V911791 = V294441. assign V460410 = V924496 - 1. assign V808167 = V776367. assign V743305 = V680259. assign V636358 = V637058 + 1. assign V677650 = V147518 + 1. assign V993543 = V808167 - 1. assign V418287 = V259524. assign V919028 = V896014 + 1. assign V887839 = V310947 - 1. assign V967775 = V032703 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V607951 = V877155. assign V776367 = V149221 + 1. assign V150952 = V310947 + 1. assign V310947 = V698293. assign V095075 = V877155 - 1. assign V639686 = V256959 - 1. assign V149221 = V077349 - 1. assign V384275 = V517577. assign V406903 = V618387 - 1. assign V069853 = V668441 + 1. assign V850784 = V149221 + 1. assign V209879 = V462029 - 1. assign V896014 = V209879 - 1. assign V705814 = V776367 + 1. assign V259524 = V077349 + 1. assign V082826 = V705814. assign V618387 = V924496 - 1. assign V613878 = V668441 + 1. assign V107451 = V099852 + 1. assign V198361 = V107451 + 1. assign V099393 = V423407. assign V877155 = V462029. assign V158277 = V150952 + 1. assign V301791 = V400799. assign V517577 = V077349 - 1. assign V133392 = V920556. assign V698938 = 5. assign V562474 = V636358. assign V077349 = V462029. assign V135269 = V805478 + 1. assign V754573 = V850784 + 1. assign V700355 = V517577 + 1. assign V465725 = V056593. assign V056593 = V149221 + 1. assign V023076 = V717897 - 1. assign V255482 = V636358. assign V555418 = V698938 + 1. assign V771371 = V147518 + 1. assign V462029 = V258086 - 1. assign V657978 = V237856 - 1. assign V410202 = V462029 + 1. assign V294441 = V147518 + 1. assign V099852 = V258086 + 1. assign V698293 = V147518 - 1. assign V637058 = V418287. assign V370297 = V056718 + 1. assign V819867 = V056718. assign V717897 = V406903 - 1. assign V923044 = V705814 + 1. assign V668441 = V805478. assign V062408 = V618387 - 1. assign V056718 = V698293 - 1. assign V147518 = V258086. assign V805478 = V259524. assign V370979 = V056718. assign V965197 = V920556 + 1. assign V924496 = V259524 - 1. assign V327492 = V808167 + 1. assign V668069 = V107451 + 1. assign V820976 = V095075 + 1. assign V400799 = V967775 + 1. assign V498328 = V805478. assign V237856 = V209879. assign V032703 = V023076. assign V680259 = V705814 - 1. assign V334701 = V410202. assign V157256 = V613878. assign V368525 = V920556 + 1. assign V256959 = V808167 - 1. assign V591796 = V334701 + 1. assign V979353 = V705814 + 1. assign V920556 = V462029 + 1. assign V988330 = V462029 - 1. assign V906717 = V877155. assign V423407 = V259524 + 1. assign V911791 = V294441. assign V460410 = V924496 - 1. assign V808167 = V776367. assign V743305 = V680259. assign V636358 = V637058 + 1. assign V677650 = V147518 + 1. assign V993543 = V808167 - 1. assign V418287 = V259524. assign V919028 = V896014 + 1. assign V887839 = V310947 - 1. assign V967775 = V032703 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV698938 = 5;\n\nFrom these direct assignment(s), we have: \nV555418 = V698938 + 1 = 5 + 1 =6;\nNo other variables can be derived from V555418;\nNo other variables can be derived from V698938;\n\nNow we have done all the calculations. Derived variables are:\nV698938 = 5;\nV555418 = 6;\n\nNow we have finished this problem. ANSWER:\nV555418\n", "role": "assistant" } ]

[ "V497303" ]

[ { "content": "<context>\nassign V732933 = V175264 - 1. assign V162266 = V616464 + 1. assign V341098 = V511858 + 1. assign V383824 = V463158. assign V216802 = V108746 + 1. assign V702006 = V341098 + 1. assign V463158 = V167006 - 1. assign V316431 = V801544 - 1. assign V377353 = V269640 + 1. assign V800889 = V739145. assign V394795 = V579125. assign V523168 = V665607. assign V815309 = V503043. assign V962069 = V294931 - 1. assign V559311 = V665607 + 1. assign V533501 = V147539 - 1. assign V108333 = V167006 + 1. assign V681783 = V559311. assign V166310 = V732933 + 1. assign V678406 = V238858 - 1. assign V628006 = V141120. assign V819281 = V040741. assign V984411 = V294931. assign V167006 = V699612 - 1. assign V653294 = V878143 + 1. assign V699612 = V931452 - 1. assign V805462 = V147539. assign V754433 = V040741 - 1. assign V269640 = V678643 + 1. assign V801544 = V665607. assign V015079 = V147539 - 1. assign V626645 = V659390. assign V659390 = V870582. assign V238858 = V316431 + 1. assign V579125 = V659390 - 1. assign V482612 = V167006 - 1. assign V255461 = V579125. assign V294931 = V216802. assign V786067 = V815309 + 1. assign V849224 = V304190 - 1. assign V442415 = V559311 - 1. assign V221539 = V616464 + 1. assign V085197 = V175264. assign V503314 = V092054 - 1. assign V147539 = V040741. assign V931452 = V659390 - 1. assign V364527 = V162266 + 1. assign V226443 = V099436. assign V141120 = V147539 - 1. assign V678643 = V503043. assign V040741 = V511858 + 1. assign V511858 = V870582. assign V175264 = V147539 + 1. assign V108746 = V175264. assign V812039 = V341098 + 1. assign V049539 = V269640 + 1. assign V853328 = V226443 - 1. assign V291493 = 9. assign V836575 = V175264 - 1. assign V878143 = V269640. assign V164237 = V040741 - 1. assign V347250 = V699612 - 1. assign V471545 = V616464 + 1. assign V967150 = V985136. assign V744747 = V931452 + 1. assign V637818 = V533501 + 1. assign V272949 = V511858 + 1. assign V304190 = V482612 - 1. assign V616464 = V341098 + 1. assign V519827 = V341098 + 1. assign V985136 = V503043 - 1. assign V503043 = V442415. assign V497303 = V291493 - 1. assign V419493 = V732933 + 1. assign V764734 = V108746 + 1. assign V810922 = V364527 + 1. assign V356881 = V226443. assign V099436 = V141120. assign V665607 = V147539 - 1. assign V911633 = V108746. assign V739145 = V147539. assign V193570 = V162266 - 1. assign V062266 = V108746. assign V819748 = V442415. assign V092054 = V523168 - 1. assign V941703 = V092054.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V732933 = V175264 - 1. assign V162266 = V616464 + 1. assign V341098 = V511858 + 1. assign V383824 = V463158. assign V216802 = V108746 + 1. assign V702006 = V341098 + 1. assign V463158 = V167006 - 1. assign V316431 = V801544 - 1. assign V377353 = V269640 + 1. assign V800889 = V739145. assign V394795 = V579125. assign V523168 = V665607. assign V815309 = V503043. assign V962069 = V294931 - 1. assign V559311 = V665607 + 1. assign V533501 = V147539 - 1. assign V108333 = V167006 + 1. assign V681783 = V559311. assign V166310 = V732933 + 1. assign V678406 = V238858 - 1. assign V628006 = V141120. assign V819281 = V040741. assign V984411 = V294931. assign V167006 = V699612 - 1. assign V653294 = V878143 + 1. assign V699612 = V931452 - 1. assign V805462 = V147539. assign V754433 = V040741 - 1. assign V269640 = V678643 + 1. assign V801544 = V665607. assign V015079 = V147539 - 1. assign V626645 = V659390. assign V659390 = V870582. assign V238858 = V316431 + 1. assign V579125 = V659390 - 1. assign V482612 = V167006 - 1. assign V255461 = V579125. assign V294931 = V216802. assign V786067 = V815309 + 1. assign V849224 = V304190 - 1. assign V442415 = V559311 - 1. assign V221539 = V616464 + 1. assign V085197 = V175264. assign V503314 = V092054 - 1. assign V147539 = V040741. assign V931452 = V659390 - 1. assign V364527 = V162266 + 1. assign V226443 = V099436. assign V141120 = V147539 - 1. assign V678643 = V503043. assign V040741 = V511858 + 1. assign V511858 = V870582. assign V175264 = V147539 + 1. assign V108746 = V175264. assign V812039 = V341098 + 1. assign V049539 = V269640 + 1. assign V853328 = V226443 - 1. assign V291493 = 9. assign V836575 = V175264 - 1. assign V878143 = V269640. assign V164237 = V040741 - 1. assign V347250 = V699612 - 1. assign V471545 = V616464 + 1. assign V967150 = V985136. assign V744747 = V931452 + 1. assign V637818 = V533501 + 1. assign V272949 = V511858 + 1. assign V304190 = V482612 - 1. assign V616464 = V341098 + 1. assign V519827 = V341098 + 1. assign V985136 = V503043 - 1. assign V503043 = V442415. assign V497303 = V291493 - 1. assign V419493 = V732933 + 1. assign V764734 = V108746 + 1. assign V810922 = V364527 + 1. assign V356881 = V226443. assign V099436 = V141120. assign V665607 = V147539 - 1. assign V911633 = V108746. assign V739145 = V147539. assign V193570 = V162266 - 1. assign V062266 = V108746. assign V819748 = V442415. assign V092054 = V523168 - 1. assign V941703 = V092054.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV291493 = 9;\n\nFrom these direct assignment(s), we have: \nV497303 = V291493 - 1 = 9 - 1 =8;\nNo other variables can be derived from V497303;\nNo other variables can be derived from V291493;\n\nNow we have done all the calculations. Derived variables are:\nV291493 = 9;\nV497303 = 8;\n\nNow we have finished this problem. ANSWER:\nV497303\n", "role": "assistant" } ]

[ "V236721", "V372506" ]

[ { "content": "<context>\nassign V591481 = V105564. assign V951903 = V866761. assign V611502 = V765734. assign V110752 = V995055 + 1. assign V068402 = V600205 - 1. assign V368069 = V380485 - 1. assign V866761 = V981305. assign V299530 = V383423 - 1. assign V105564 = V838391 + 1. assign V240696 = V779861. assign V367482 = V981305 - 1. assign V903836 = V096476. assign V856740 = V838391 + 1. assign V232818 = V269581. assign V838391 = V981305 + 1. assign V383423 = V838391 - 1. assign V600205 = V981305 + 1. assign V254642 = V981305 - 1. assign V181057 = V981305. assign V458437 = V866761. assign V188078 = V458437 + 1. assign V440804 = V157738 + 1. assign V779861 = V934940. assign V722579 = V892642 + 1. assign V145764 = V640485 + 1. assign V588924 = V953753. assign V627477 = V335798 + 1. assign V709177 = V394704 - 1. assign V356959 = V970394. assign V772229 = V856740 + 1. assign V335798 = V778512. assign V872552 = V299530. assign V944797 = V717944 - 1. assign V735399 = V458437. assign V891457 = V101658 + 1. assign V995055 = V765734 + 1. assign V337013 = V163881 + 1. assign V735513 = V424899 + 1. assign V819742 = V565884 + 1. assign V372506 = V236721. assign V582799 = V068402 - 1. assign V717944 = V232818 + 1. assign V271451 = V383423. assign V116848 = V334044. assign V096476 = V380485. assign V101658 = V271451 - 1. assign V850366 = V105564 - 1. assign V149022 = V101658 - 1. assign V079882 = V271451 - 1. assign V196434 = V368069 + 1. assign V339491 = V299530 + 1. assign V163881 = V934940. assign V394704 = V356959. assign V262285 = V516828 - 1. assign V200495 = V565884. assign V269581 = V838391. assign V446739 = V299530. assign V953753 = V163881. assign V765734 = V838391. assign V360529 = V866761 - 1. assign V150486 = V446739 + 1. assign V996301 = V951903 - 1. assign V334044 = V188078. assign V516828 = V640485 + 1. assign V130556 = V110752 - 1. assign V236721 = 4. assign V565884 = V838391 - 1. assign V629072 = V838391. assign V892642 = V934940 + 1. assign V091402 = V232818 + 1. assign V380485 = V856740 - 1. assign V519325 = V717944 + 1. assign V778512 = V105564. assign V706035 = V383423. assign V157738 = V856740 - 1. assign V640485 = V383423 + 1. assign V424899 = V105564 - 1. assign V150604 = V394704 + 1. assign V934940 = V866761 + 1. assign V395254 = V285716. assign V948723 = V611502 - 1. assign V223325 = V944797. assign V970394 = V383423 - 1. assign V395761 = V838391 + 1. assign V285716 = V600205 - 1. assign V361893 = V360529.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V591481 = V105564. assign V951903 = V866761. assign V611502 = V765734. assign V110752 = V995055 + 1. assign V068402 = V600205 - 1. assign V368069 = V380485 - 1. assign V866761 = V981305. assign V299530 = V383423 - 1. assign V105564 = V838391 + 1. assign V240696 = V779861. assign V367482 = V981305 - 1. assign V903836 = V096476. assign V856740 = V838391 + 1. assign V232818 = V269581. assign V838391 = V981305 + 1. assign V383423 = V838391 - 1. assign V600205 = V981305 + 1. assign V254642 = V981305 - 1. assign V181057 = V981305. assign V458437 = V866761. assign V188078 = V458437 + 1. assign V440804 = V157738 + 1. assign V779861 = V934940. assign V722579 = V892642 + 1. assign V145764 = V640485 + 1. assign V588924 = V953753. assign V627477 = V335798 + 1. assign V709177 = V394704 - 1. assign V356959 = V970394. assign V772229 = V856740 + 1. assign V335798 = V778512. assign V872552 = V299530. assign V944797 = V717944 - 1. assign V735399 = V458437. assign V891457 = V101658 + 1. assign V995055 = V765734 + 1. assign V337013 = V163881 + 1. assign V735513 = V424899 + 1. assign V819742 = V565884 + 1. assign V372506 = V236721. assign V582799 = V068402 - 1. assign V717944 = V232818 + 1. assign V271451 = V383423. assign V116848 = V334044. assign V096476 = V380485. assign V101658 = V271451 - 1. assign V850366 = V105564 - 1. assign V149022 = V101658 - 1. assign V079882 = V271451 - 1. assign V196434 = V368069 + 1. assign V339491 = V299530 + 1. assign V163881 = V934940. assign V394704 = V356959. assign V262285 = V516828 - 1. assign V200495 = V565884. assign V269581 = V838391. assign V446739 = V299530. assign V953753 = V163881. assign V765734 = V838391. assign V360529 = V866761 - 1. assign V150486 = V446739 + 1. assign V996301 = V951903 - 1. assign V334044 = V188078. assign V516828 = V640485 + 1. assign V130556 = V110752 - 1. assign V236721 = 4. assign V565884 = V838391 - 1. assign V629072 = V838391. assign V892642 = V934940 + 1. assign V091402 = V232818 + 1. assign V380485 = V856740 - 1. assign V519325 = V717944 + 1. assign V778512 = V105564. assign V706035 = V383423. assign V157738 = V856740 - 1. assign V640485 = V383423 + 1. assign V424899 = V105564 - 1. assign V150604 = V394704 + 1. assign V934940 = V866761 + 1. assign V395254 = V285716. assign V948723 = V611502 - 1. assign V223325 = V944797. assign V970394 = V383423 - 1. assign V395761 = V838391 + 1. assign V285716 = V600205 - 1. assign V361893 = V360529.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV236721 = 4;\n\nFrom these direct assignment(s), we have: \nV372506 = V236721 = 4;\nNo other variables can be derived from V372506;\nNo other variables can be derived from V236721;\n\nNow we have done all the calculations. Derived variables are:\nV236721 = 4;\nV372506 = 4;\n\nNow we have finished this problem. ANSWER:\nV236721, V372506\n", "role": "assistant" } ]

[ "V244518" ]

[ { "content": "<context>\nassign V906884 = V440911 + 1. assign V878712 = V463581 - 1. assign V502657 = V660954 + 1. assign V723636 = V878712. assign V260268 = V389675. assign V178872 = V419020 - 1. assign V140864 = V157065. assign V537732 = V157065 + 1. assign V677019 = V403632. assign V169151 = V937594. assign V501364 = V747650 + 1. assign V989603 = V802902 + 1. assign V908271 = V816870 + 1. assign V592032 = V872095 - 1. assign V639929 = V816870 - 1. assign V814091 = V861152 + 1. assign V532429 = V614748. assign V816870 = V419020 - 1. assign V316233 = V772323 - 1. assign V879587 = V948794. assign V937594 = V132465. assign V451738 = V132465 - 1. assign V132465 = V493322. assign V244518 = V207361 + 1. assign V194993 = V948794 - 1. assign V553507 = V157065 + 1. assign V556586 = V639929 + 1. assign V610435 = V367670. assign V207361 = 4. assign V948010 = V132465 + 1. assign V463581 = V231383 + 1. assign V389675 = V870343. assign V309550 = V152155 - 1. assign V526456 = V816870. assign V743523 = V948794 - 1. assign V870343 = V802902 - 1. assign V148007 = V937594. assign V772323 = V093600 + 1. assign V037130 = V490413 - 1. assign V660954 = V639929. assign V419020 = V157065 - 1. assign V645505 = V720246 - 1. assign V747650 = V178872. assign V301345 = V357194 - 1. assign V557572 = V556586 + 1. assign V669239 = V532429 + 1. assign V184197 = V132465. assign V711788 = V526456. assign V231383 = V157065. assign V572651 = V169151 - 1. assign V013680 = V639929. assign V281007 = V148007 + 1. assign V614748 = V093600 + 1. assign V872095 = V816870. assign V403632 = V157065. assign V733671 = V532429 + 1. assign V357194 = V157065 - 1. assign V490413 = V526456 + 1. assign V494720 = V501364 - 1. assign V069696 = V451738 + 1. assign V647357 = V861152 - 1. assign V861152 = V169151 - 1. assign V602443 = V747650 + 1. assign V493322 = V157065. assign V188671 = V878712 + 1. assign V711670 = V693472 - 1. assign V093600 = V419020 + 1. assign V535551 = V645505 + 1. assign V187771 = V015195. assign V549707 = V772323 - 1. assign V050789 = V526456. assign V493691 = V316233 + 1. assign V948794 = V463581. assign V795256 = V148007. assign V367670 = V870343. assign V152155 = V169151 - 1. assign V352227 = V549707. assign V015195 = V553507 + 1. assign V440911 = V772323. assign V720246 = V178872 - 1. assign V693472 = V660954 + 1. assign V964740 = V553507. assign V306288 = V989603. assign V634927 = V389675 - 1. assign V985755 = V015195 - 1. assign V802902 = V816870.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V906884 = V440911 + 1. assign V878712 = V463581 - 1. assign V502657 = V660954 + 1. assign V723636 = V878712. assign V260268 = V389675. assign V178872 = V419020 - 1. assign V140864 = V157065. assign V537732 = V157065 + 1. assign V677019 = V403632. assign V169151 = V937594. assign V501364 = V747650 + 1. assign V989603 = V802902 + 1. assign V908271 = V816870 + 1. assign V592032 = V872095 - 1. assign V639929 = V816870 - 1. assign V814091 = V861152 + 1. assign V532429 = V614748. assign V816870 = V419020 - 1. assign V316233 = V772323 - 1. assign V879587 = V948794. assign V937594 = V132465. assign V451738 = V132465 - 1. assign V132465 = V493322. assign V244518 = V207361 + 1. assign V194993 = V948794 - 1. assign V553507 = V157065 + 1. assign V556586 = V639929 + 1. assign V610435 = V367670. assign V207361 = 4. assign V948010 = V132465 + 1. assign V463581 = V231383 + 1. assign V389675 = V870343. assign V309550 = V152155 - 1. assign V526456 = V816870. assign V743523 = V948794 - 1. assign V870343 = V802902 - 1. assign V148007 = V937594. assign V772323 = V093600 + 1. assign V037130 = V490413 - 1. assign V660954 = V639929. assign V419020 = V157065 - 1. assign V645505 = V720246 - 1. assign V747650 = V178872. assign V301345 = V357194 - 1. assign V557572 = V556586 + 1. assign V669239 = V532429 + 1. assign V184197 = V132465. assign V711788 = V526456. assign V231383 = V157065. assign V572651 = V169151 - 1. assign V013680 = V639929. assign V281007 = V148007 + 1. assign V614748 = V093600 + 1. assign V872095 = V816870. assign V403632 = V157065. assign V733671 = V532429 + 1. assign V357194 = V157065 - 1. assign V490413 = V526456 + 1. assign V494720 = V501364 - 1. assign V069696 = V451738 + 1. assign V647357 = V861152 - 1. assign V861152 = V169151 - 1. assign V602443 = V747650 + 1. assign V493322 = V157065. assign V188671 = V878712 + 1. assign V711670 = V693472 - 1. assign V093600 = V419020 + 1. assign V535551 = V645505 + 1. assign V187771 = V015195. assign V549707 = V772323 - 1. assign V050789 = V526456. assign V493691 = V316233 + 1. assign V948794 = V463581. assign V795256 = V148007. assign V367670 = V870343. assign V152155 = V169151 - 1. assign V352227 = V549707. assign V015195 = V553507 + 1. assign V440911 = V772323. assign V720246 = V178872 - 1. assign V693472 = V660954 + 1. assign V964740 = V553507. assign V306288 = V989603. assign V634927 = V389675 - 1. assign V985755 = V015195 - 1. assign V802902 = V816870.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV207361 = 4;\n\nFrom these direct assignment(s), we have: \nV244518 = V207361 + 1 = 4 + 1 =5;\nNo other variables can be derived from V244518;\nNo other variables can be derived from V207361;\n\nNow we have done all the calculations. Derived variables are:\nV207361 = 4;\nV244518 = 5;\n\nNow we have finished this problem. ANSWER:\nV244518\n", "role": "assistant" } ]

[ "V569835" ]

[ { "content": "<context>\nassign V230857 = V050075. assign V424001 = V983609 + 1. assign V366968 = V983609 - 1. assign V066513 = V933205. assign V827533 = V511189. assign V317991 = V575234 + 1. assign V275126 = V908710 + 1. assign V804447 = V292869 - 1. assign V895273 = V645050 - 1. assign V091848 = V645050 - 1. assign V583767 = V799720 - 1. assign V799720 = V317991 - 1. assign V795381 = V891878 + 1. assign V295483 = V330705 - 1. assign V292869 = V050075 - 1. assign V848916 = V933205 - 1. assign V870481 = V098213 - 1. assign V641923 = V511189. assign V106848 = V804447. assign V741154 = V695510. assign V145118 = V330705 + 1. assign V729890 = V318381. assign V266846 = V983609 + 1. assign V318381 = V066513 + 1. assign V478288 = V066513 + 1. assign V675372 = V424001. assign V446462 = V511189 - 1. assign V330705 = V266846. assign V019326 = V575234 + 1. assign V472908 = V976212 - 1. assign V873277 = V526171. assign V999240 = V675372 - 1. assign V829041 = V575291 + 1. assign V908710 = V642895. assign V962197 = V575234 + 1. assign V769934 = V266846 + 1. assign V624226 = V575234. assign V526171 = V575291 - 1. assign V304572 = V275126 - 1. assign V430829 = V962197. assign V189733 = V292869. assign V972589 = V729890 + 1. assign V695510 = V096686 - 1. assign V516154 = V066513 - 1. assign V575234 = V266846 + 1. assign V645050 = V266846 - 1. assign V515204 = V066513. assign V575291 = V933205. assign V511189 = V983609 - 1. assign V956527 = V829041. assign V596410 = V799720 + 1. assign V018787 = V050075. assign V402722 = V645050 - 1. assign V933205 = V292869. assign V983609 = V050075 + 1. assign V634467 = V223213 + 1. assign V131243 = V516154. assign V476788 = V848916 + 1. assign V912967 = V976212. assign V253211 = V066513 - 1. assign V601697 = V870481. assign V543997 = V019326. assign V032708 = V829041 - 1. assign V311514 = V189733 + 1. assign V891878 = V511189. assign V338581 = V275126 - 1. assign V736576 = V091848 - 1. assign V456179 = V575234 + 1. assign V008164 = V317991. assign V642895 = V769934 + 1. assign V941922 = V769934 - 1. assign V488989 = V295483. assign V853177 = V976212. assign V976212 = V424001 + 1. assign V098213 = V543997 - 1. assign V886790 = V729890 + 1. assign V223213 = V476788. assign V475856 = V569835 - 1. assign V096686 = V008164 + 1. assign V796514 = V526171 + 1. assign V569835 = 0. assign V296745 = V066513. assign V575845 = V066513 - 1. assign V289837 = V008164 - 1. assign V376367 = V645050 + 1. assign V340878 = V032708.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V230857 = V050075. assign V424001 = V983609 + 1. assign V366968 = V983609 - 1. assign V066513 = V933205. assign V827533 = V511189. assign V317991 = V575234 + 1. assign V275126 = V908710 + 1. assign V804447 = V292869 - 1. assign V895273 = V645050 - 1. assign V091848 = V645050 - 1. assign V583767 = V799720 - 1. assign V799720 = V317991 - 1. assign V795381 = V891878 + 1. assign V295483 = V330705 - 1. assign V292869 = V050075 - 1. assign V848916 = V933205 - 1. assign V870481 = V098213 - 1. assign V641923 = V511189. assign V106848 = V804447. assign V741154 = V695510. assign V145118 = V330705 + 1. assign V729890 = V318381. assign V266846 = V983609 + 1. assign V318381 = V066513 + 1. assign V478288 = V066513 + 1. assign V675372 = V424001. assign V446462 = V511189 - 1. assign V330705 = V266846. assign V019326 = V575234 + 1. assign V472908 = V976212 - 1. assign V873277 = V526171. assign V999240 = V675372 - 1. assign V829041 = V575291 + 1. assign V908710 = V642895. assign V962197 = V575234 + 1. assign V769934 = V266846 + 1. assign V624226 = V575234. assign V526171 = V575291 - 1. assign V304572 = V275126 - 1. assign V430829 = V962197. assign V189733 = V292869. assign V972589 = V729890 + 1. assign V695510 = V096686 - 1. assign V516154 = V066513 - 1. assign V575234 = V266846 + 1. assign V645050 = V266846 - 1. assign V515204 = V066513. assign V575291 = V933205. assign V511189 = V983609 - 1. assign V956527 = V829041. assign V596410 = V799720 + 1. assign V018787 = V050075. assign V402722 = V645050 - 1. assign V933205 = V292869. assign V983609 = V050075 + 1. assign V634467 = V223213 + 1. assign V131243 = V516154. assign V476788 = V848916 + 1. assign V912967 = V976212. assign V253211 = V066513 - 1. assign V601697 = V870481. assign V543997 = V019326. assign V032708 = V829041 - 1. assign V311514 = V189733 + 1. assign V891878 = V511189. assign V338581 = V275126 - 1. assign V736576 = V091848 - 1. assign V456179 = V575234 + 1. assign V008164 = V317991. assign V642895 = V769934 + 1. assign V941922 = V769934 - 1. assign V488989 = V295483. assign V853177 = V976212. assign V976212 = V424001 + 1. assign V098213 = V543997 - 1. assign V886790 = V729890 + 1. assign V223213 = V476788. assign V475856 = V569835 - 1. assign V096686 = V008164 + 1. assign V796514 = V526171 + 1. assign V569835 = 0. assign V296745 = V066513. assign V575845 = V066513 - 1. assign V289837 = V008164 - 1. assign V376367 = V645050 + 1. assign V340878 = V032708.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV569835 = 0;\n\nFrom these direct assignment(s), we have: \nV475856 = V569835 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V475856;\nNo other variables can be derived from V569835;\n\nNow we have done all the calculations. Derived variables are:\nV569835 = 0;\nV475856 = -1;\n\nNow we have finished this problem. ANSWER:\nV569835\n", "role": "assistant" } ]

[ "V423829", "V129278" ]

[ { "content": "<context>\nassign V182517 = V334653 + 1. assign V439671 = V652884 + 1. assign V643015 = V607538. assign V561041 = V318228. assign V726356 = V165929. assign V527189 = V935942 - 1. assign V735462 = V617629 + 1. assign V989252 = V924351. assign V364160 = V232685 - 1. assign V661284 = V701545. assign V169913 = V335332 + 1. assign V335332 = V436797. assign V617629 = V504511. assign V469565 = V165929. assign V792433 = V528062. assign V785675 = V607538. assign V933735 = V527189. assign V818932 = V457579 - 1. assign V883012 = V334653 - 1. assign V516574 = V446482 + 1. assign V619109 = V364160 - 1. assign V504511 = V701545. assign V945469 = V481046. assign V601876 = V607538 + 1. assign V827231 = V504511. assign V436797 = V607538 + 1. assign V820313 = V220789. assign V652884 = V643015 - 1. assign V489529 = V412598. assign V481046 = V117041. assign V736532 = V735462. assign V154596 = V489529 + 1. assign V924351 = V634726 - 1. assign V982493 = V726356 + 1. assign V634726 = V412598 + 1. assign V050402 = V652884 + 1. assign V575545 = V062319 + 1. assign V595273 = V481046 - 1. assign V412477 = V489529 - 1. assign V177388 = V123046. assign V168302 = V839085. assign V917223 = V607538 + 1. assign V528062 = V701545 - 1. assign V774909 = V100637 - 1. assign V716161 = V318228. assign V194976 = V827231 + 1. assign V839085 = V661284. assign V318228 = V701545 - 1. assign V757017 = V815198 + 1. assign V203128 = V979764 + 1. assign V056946 = V092570 - 1. assign V462493 = V220789 + 1. assign V632459 = V335332. assign V815198 = V056946 + 1. assign V909680 = V607538 + 1. assign V469645 = V232685 + 1. assign V412598 = V982493. assign V100637 = V527189. assign V123046 = V935942 + 1. assign V117041 = V050402 - 1. assign V768861 = V652884 - 1. assign V334653 = V504511 + 1. assign V677466 = V220789. assign V987395 = V232685. assign V935942 = V062319 - 1. assign V423829 = 2. assign V232685 = V935942. assign V555086 = V436797. assign V180281 = V436797 - 1. assign V100147 = V634726 - 1. assign V165929 = V979764 + 1. assign V062319 = V334653 + 1. assign V446482 = V652884. assign V607538 = V504511 - 1. assign V150231 = V469565 + 1. assign V220789 = V607538 - 1. assign V540850 = V194976 + 1. assign V457579 = V883012. assign V092570 = V827231 + 1. assign V765692 = V701545 - 1. assign V895066 = V827231 - 1. assign V131849 = V194976 - 1. assign V129278 = V423829. assign V848346 = V883012. assign V129034 = V117041 + 1. assign V979764 = V062319.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V182517 = V334653 + 1. assign V439671 = V652884 + 1. assign V643015 = V607538. assign V561041 = V318228. assign V726356 = V165929. assign V527189 = V935942 - 1. assign V735462 = V617629 + 1. assign V989252 = V924351. assign V364160 = V232685 - 1. assign V661284 = V701545. assign V169913 = V335332 + 1. assign V335332 = V436797. assign V617629 = V504511. assign V469565 = V165929. assign V792433 = V528062. assign V785675 = V607538. assign V933735 = V527189. assign V818932 = V457579 - 1. assign V883012 = V334653 - 1. assign V516574 = V446482 + 1. assign V619109 = V364160 - 1. assign V504511 = V701545. assign V945469 = V481046. assign V601876 = V607538 + 1. assign V827231 = V504511. assign V436797 = V607538 + 1. assign V820313 = V220789. assign V652884 = V643015 - 1. assign V489529 = V412598. assign V481046 = V117041. assign V736532 = V735462. assign V154596 = V489529 + 1. assign V924351 = V634726 - 1. assign V982493 = V726356 + 1. assign V634726 = V412598 + 1. assign V050402 = V652884 + 1. assign V575545 = V062319 + 1. assign V595273 = V481046 - 1. assign V412477 = V489529 - 1. assign V177388 = V123046. assign V168302 = V839085. assign V917223 = V607538 + 1. assign V528062 = V701545 - 1. assign V774909 = V100637 - 1. assign V716161 = V318228. assign V194976 = V827231 + 1. assign V839085 = V661284. assign V318228 = V701545 - 1. assign V757017 = V815198 + 1. assign V203128 = V979764 + 1. assign V056946 = V092570 - 1. assign V462493 = V220789 + 1. assign V632459 = V335332. assign V815198 = V056946 + 1. assign V909680 = V607538 + 1. assign V469645 = V232685 + 1. assign V412598 = V982493. assign V100637 = V527189. assign V123046 = V935942 + 1. assign V117041 = V050402 - 1. assign V768861 = V652884 - 1. assign V334653 = V504511 + 1. assign V677466 = V220789. assign V987395 = V232685. assign V935942 = V062319 - 1. assign V423829 = 2. assign V232685 = V935942. assign V555086 = V436797. assign V180281 = V436797 - 1. assign V100147 = V634726 - 1. assign V165929 = V979764 + 1. assign V062319 = V334653 + 1. assign V446482 = V652884. assign V607538 = V504511 - 1. assign V150231 = V469565 + 1. assign V220789 = V607538 - 1. assign V540850 = V194976 + 1. assign V457579 = V883012. assign V092570 = V827231 + 1. assign V765692 = V701545 - 1. assign V895066 = V827231 - 1. assign V131849 = V194976 - 1. assign V129278 = V423829. assign V848346 = V883012. assign V129034 = V117041 + 1. assign V979764 = V062319.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV423829 = 2;\n\nFrom these direct assignment(s), we have: \nV129278 = V423829 = 2;\nNo other variables can be derived from V129278;\nNo other variables can be derived from V423829;\n\nNow we have done all the calculations. Derived variables are:\nV423829 = 2;\nV129278 = 2;\n\nNow we have finished this problem. ANSWER:\nV423829, V129278\n", "role": "assistant" } ]

[ "V073667" ]

[ { "content": "<context>\nassign V084156 = V740249 - 1. assign V747269 = V420909 - 1. assign V615983 = V256731 + 1. assign V070688 = V701794 + 1. assign V250901 = V181294 - 1. assign V493998 = V487237 - 1. assign V650625 = V763543 + 1. assign V926315 = V337323. assign V021490 = V677079. assign V108275 = V704426. assign V379652 = V070688. assign V951803 = V734842 + 1. assign V256731 = V910918 - 1. assign V327961 = V523906 - 1. assign V221999 = V337323 + 1. assign V464735 = V073667 + 1. assign V327575 = V084795 + 1. assign V587960 = V701794 + 1. assign V482205 = V910918 - 1. assign V031330 = V838430 - 1. assign V438723 = V420909 + 1. assign V757379 = V237950 + 1. assign V046457 = V493998 + 1. assign V686430 = V177196 - 1. assign V016267 = V237950 + 1. assign V266989 = V487237. assign V144747 = V704426. assign V910918 = V174272. assign V701794 = V830338 - 1. assign V728433 = V379652. assign V530176 = V523906 - 1. assign V734842 = V493998. assign V364918 = V761474. assign V200947 = V671959 - 1. assign V181294 = V266989. assign V487237 = V699494 - 1. assign V177196 = V174272 + 1. assign V710809 = V615983. assign V610594 = V250901 - 1. assign V772972 = V070688 + 1. assign V704426 = V699494 - 1. assign V025310 = V420909 + 1. assign V740249 = V266989. assign V374360 = V021490 - 1. assign V614643 = V610594. assign V409384 = V266989 - 1. assign V237950 = V482205. assign V420909 = V319247 - 1. assign V337323 = V704426 + 1. assign V942862 = V763543 - 1. assign V631170 = V364737 + 1. assign V073667 = 10. assign V488895 = V420909 - 1. assign V880302 = V031330 - 1. assign V203795 = V174272 - 1. assign V984592 = V749018 + 1. assign V545418 = V783984 + 1. assign V330760 = V830338 + 1. assign V911306 = V942862 - 1. assign V611388 = V237950 - 1. assign V493380 = V144747. assign V270279 = V493998 + 1. assign V197241 = V438723 + 1. assign V084795 = V677079. assign V260293 = V420909 - 1. assign V174272 = V699494 + 1. assign V761474 = V250901. assign V830338 = V493998. assign V671959 = V704426. assign V774275 = V420909 - 1. assign V319247 = V699494 - 1. assign V415907 = V200947 - 1. assign V783984 = V330760 - 1. assign V763543 = V493998 - 1. assign V274208 = V177196. assign V207687 = V181294 - 1. assign V523906 = V046457 + 1. assign V364737 = V671959 + 1. assign V677079 = V177196 - 1. assign V749018 = V203795 + 1. assign V862373 = V699494 - 1. assign V145043 = V704426 + 1. assign V615318 = V671959 - 1. assign V427288 = V610594 - 1. assign V374244 = V493998. assign V838430 = V942862 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V084156 = V740249 - 1. assign V747269 = V420909 - 1. assign V615983 = V256731 + 1. assign V070688 = V701794 + 1. assign V250901 = V181294 - 1. assign V493998 = V487237 - 1. assign V650625 = V763543 + 1. assign V926315 = V337323. assign V021490 = V677079. assign V108275 = V704426. assign V379652 = V070688. assign V951803 = V734842 + 1. assign V256731 = V910918 - 1. assign V327961 = V523906 - 1. assign V221999 = V337323 + 1. assign V464735 = V073667 + 1. assign V327575 = V084795 + 1. assign V587960 = V701794 + 1. assign V482205 = V910918 - 1. assign V031330 = V838430 - 1. assign V438723 = V420909 + 1. assign V757379 = V237950 + 1. assign V046457 = V493998 + 1. assign V686430 = V177196 - 1. assign V016267 = V237950 + 1. assign V266989 = V487237. assign V144747 = V704426. assign V910918 = V174272. assign V701794 = V830338 - 1. assign V728433 = V379652. assign V530176 = V523906 - 1. assign V734842 = V493998. assign V364918 = V761474. assign V200947 = V671959 - 1. assign V181294 = V266989. assign V487237 = V699494 - 1. assign V177196 = V174272 + 1. assign V710809 = V615983. assign V610594 = V250901 - 1. assign V772972 = V070688 + 1. assign V704426 = V699494 - 1. assign V025310 = V420909 + 1. assign V740249 = V266989. assign V374360 = V021490 - 1. assign V614643 = V610594. assign V409384 = V266989 - 1. assign V237950 = V482205. assign V420909 = V319247 - 1. assign V337323 = V704426 + 1. assign V942862 = V763543 - 1. assign V631170 = V364737 + 1. assign V073667 = 10. assign V488895 = V420909 - 1. assign V880302 = V031330 - 1. assign V203795 = V174272 - 1. assign V984592 = V749018 + 1. assign V545418 = V783984 + 1. assign V330760 = V830338 + 1. assign V911306 = V942862 - 1. assign V611388 = V237950 - 1. assign V493380 = V144747. assign V270279 = V493998 + 1. assign V197241 = V438723 + 1. assign V084795 = V677079. assign V260293 = V420909 - 1. assign V174272 = V699494 + 1. assign V761474 = V250901. assign V830338 = V493998. assign V671959 = V704426. assign V774275 = V420909 - 1. assign V319247 = V699494 - 1. assign V415907 = V200947 - 1. assign V783984 = V330760 - 1. assign V763543 = V493998 - 1. assign V274208 = V177196. assign V207687 = V181294 - 1. assign V523906 = V046457 + 1. assign V364737 = V671959 + 1. assign V677079 = V177196 - 1. assign V749018 = V203795 + 1. assign V862373 = V699494 - 1. assign V145043 = V704426 + 1. assign V615318 = V671959 - 1. assign V427288 = V610594 - 1. assign V374244 = V493998. assign V838430 = V942862 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV073667 = 10;\n\nFrom these direct assignment(s), we have: \nV464735 = V073667 + 1 = 10 + 1 =11;\nNo other variables can be derived from V464735;\nNo other variables can be derived from V073667;\n\nNow we have done all the calculations. Derived variables are:\nV073667 = 10;\nV464735 = 11;\n\nNow we have finished this problem. ANSWER:\nV073667\n", "role": "assistant" } ]

[ "V038305" ]

[ { "content": "<context>\nassign V361355 = V125674 + 1. assign V988088 = 10. assign V702056 = V975582 - 1. assign V250388 = V537939 - 1. assign V724956 = V078111. assign V110845 = V940629 + 1. assign V204317 = V444872. assign V120489 = V125674. assign V975582 = V558739 - 1. assign V311417 = V825859 + 1. assign V809752 = V537939. assign V271431 = V759667 + 1. assign V449835 = V940629 - 1. assign V684011 = V940629 + 1. assign V342370 = V653932 + 1. assign V506519 = V653932. assign V997823 = V941837. assign V790965 = V975582. assign V742301 = V444872 + 1. assign V940629 = V583702 + 1. assign V831461 = V312411. assign V749146 = V492583 - 1. assign V178402 = V820065 + 1. assign V199400 = V070074. assign V078111 = V825859 + 1. assign V348041 = V328732 - 1. assign V748539 = V537939 - 1. assign V584923 = V997823 - 1. assign V107762 = V621068. assign V421436 = V178402 - 1. assign V507981 = V544147. assign V754130 = V361355 + 1. assign V629919 = V449835 + 1. assign V455773 = V259590 + 1. assign V344711 = V444872 - 1. assign V013822 = V667662. assign V070074 = V684011 + 1. assign V492583 = V444872 + 1. assign V825859 = V684011. assign V521513 = V790965 + 1. assign V995171 = V312411. assign V559606 = V107762 + 1. assign V357297 = V668750 - 1. assign V626368 = V952886 - 1. assign V667662 = V999886 + 1. assign V682699 = V583702. assign V759667 = V669575 - 1. assign V676364 = V537939 + 1. assign V558739 = V676364 + 1. assign V653932 = V668750. assign V923979 = V621068 - 1. assign V444872 = V684011. assign V231473 = V357297 - 1. assign V038305 = V988088 - 1. assign V941837 = V997781 + 1. assign V098689 = V952886. assign V626987 = V635278 - 1. assign V259590 = V671043 - 1. assign V484679 = V952886 + 1. assign V934879 = V328732 + 1. assign V328732 = V940629 + 1. assign V189949 = V107762 - 1. assign V544147 = V825859. assign V537939 = V328732. assign V516933 = V995171 - 1. assign V671043 = V668750. assign V669575 = V653932 - 1. assign V873442 = V669575 - 1. assign V027626 = V361355 + 1. assign V635278 = V125674. assign V668750 = V537939 - 1. assign V114537 = V749146 - 1. assign V997781 = V474216. assign V621068 = V653932. assign V999886 = V537939 - 1. assign V952886 = V621068 - 1. assign V125674 = V583702. assign V820065 = V125674 + 1. assign V685640 = V189949. assign V707111 = V125674 + 1. assign V849529 = V669575. assign V921037 = V328732. assign V192283 = V742301 - 1. assign V312411 = V583702. assign V379861 = V668750. assign V474216 = V940629 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V361355 = V125674 + 1. assign V988088 = 10. assign V702056 = V975582 - 1. assign V250388 = V537939 - 1. assign V724956 = V078111. assign V110845 = V940629 + 1. assign V204317 = V444872. assign V120489 = V125674. assign V975582 = V558739 - 1. assign V311417 = V825859 + 1. assign V809752 = V537939. assign V271431 = V759667 + 1. assign V449835 = V940629 - 1. assign V684011 = V940629 + 1. assign V342370 = V653932 + 1. assign V506519 = V653932. assign V997823 = V941837. assign V790965 = V975582. assign V742301 = V444872 + 1. assign V940629 = V583702 + 1. assign V831461 = V312411. assign V749146 = V492583 - 1. assign V178402 = V820065 + 1. assign V199400 = V070074. assign V078111 = V825859 + 1. assign V348041 = V328732 - 1. assign V748539 = V537939 - 1. assign V584923 = V997823 - 1. assign V107762 = V621068. assign V421436 = V178402 - 1. assign V507981 = V544147. assign V754130 = V361355 + 1. assign V629919 = V449835 + 1. assign V455773 = V259590 + 1. assign V344711 = V444872 - 1. assign V013822 = V667662. assign V070074 = V684011 + 1. assign V492583 = V444872 + 1. assign V825859 = V684011. assign V521513 = V790965 + 1. assign V995171 = V312411. assign V559606 = V107762 + 1. assign V357297 = V668750 - 1. assign V626368 = V952886 - 1. assign V667662 = V999886 + 1. assign V682699 = V583702. assign V759667 = V669575 - 1. assign V676364 = V537939 + 1. assign V558739 = V676364 + 1. assign V653932 = V668750. assign V923979 = V621068 - 1. assign V444872 = V684011. assign V231473 = V357297 - 1. assign V038305 = V988088 - 1. assign V941837 = V997781 + 1. assign V098689 = V952886. assign V626987 = V635278 - 1. assign V259590 = V671043 - 1. assign V484679 = V952886 + 1. assign V934879 = V328732 + 1. assign V328732 = V940629 + 1. assign V189949 = V107762 - 1. assign V544147 = V825859. assign V537939 = V328732. assign V516933 = V995171 - 1. assign V671043 = V668750. assign V669575 = V653932 - 1. assign V873442 = V669575 - 1. assign V027626 = V361355 + 1. assign V635278 = V125674. assign V668750 = V537939 - 1. assign V114537 = V749146 - 1. assign V997781 = V474216. assign V621068 = V653932. assign V999886 = V537939 - 1. assign V952886 = V621068 - 1. assign V125674 = V583702. assign V820065 = V125674 + 1. assign V685640 = V189949. assign V707111 = V125674 + 1. assign V849529 = V669575. assign V921037 = V328732. assign V192283 = V742301 - 1. assign V312411 = V583702. assign V379861 = V668750. assign V474216 = V940629 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV988088 = 10;\n\nFrom these direct assignment(s), we have: \nV038305 = V988088 - 1 = 10 - 1 =9;\nNo other variables can be derived from V038305;\nNo other variables can be derived from V988088;\n\nNow we have done all the calculations. Derived variables are:\nV988088 = 10;\nV038305 = 9;\n\nNow we have finished this problem. ANSWER:\nV038305\n", "role": "assistant" } ]

[ "V311598" ]

[ { "content": "<context>\nassign V245515 = V645493 - 1. assign V286974 = V957044 - 1. assign V661386 = V748208. assign V592848 = V795564 + 1. assign V274241 = V373768. assign V943806 = V940652. assign V765616 = V814880 + 1. assign V705164 = V411290 + 1. assign V593959 = V003152. assign V283068 = V030612. assign V219081 = V644928. assign V003152 = V729620 + 1. assign V907449 = V731119. assign V350464 = V444821. assign V369657 = V350464 + 1. assign V613134 = V940652 + 1. assign V957044 = V337199 - 1. assign V878868 = V444821 - 1. assign V444821 = V593959 - 1. assign V874162 = V444821 - 1. assign V124278 = V731119 + 1. assign V612288 = 9. assign V716769 = V411290 - 1. assign V944377 = V729381. assign V483179 = V729381 + 1. assign V455501 = V706669 - 1. assign V644996 = V593959 + 1. assign V974064 = V592848 - 1. assign V492976 = V415767 - 1. assign V947436 = V663820 - 1. assign V722033 = V729620 + 1. assign V044824 = V716769 + 1. assign V179922 = V748208 + 1. assign V319099 = V072112. assign V337199 = V814880. assign V659711 = V471094 + 1. assign V468743 = V411290 - 1. assign V442622 = V314348 + 1. assign V729381 = V337199. assign V973243 = V645493 + 1. assign V037947 = V003152. assign V448235 = V684643 - 1. assign V373768 = V003152. assign V598764 = V274241. assign V644928 = V814880. assign V748208 = V795564. assign V706669 = V337199 - 1. assign V771445 = V684643. assign V553010 = V684643 - 1. assign V792863 = V373768. assign V017863 = V729381. assign V796256 = V716769 - 1. assign V562697 = V731119 - 1. assign V684643 = V592848 + 1. assign V522711 = V795564 - 1. assign V573732 = V796256 + 1. assign V471094 = V593959. assign V641297 = V319099 + 1. assign V795564 = V729620 - 1. assign V072112 = V592848. assign V865888 = V454956 - 1. assign V454956 = V748208. assign V415767 = V219081 + 1. assign V229729 = V219081 - 1. assign V663820 = V468743 + 1. assign V815608 = V373768. assign V940652 = V448488 + 1. assign V731119 = V796256 + 1. assign V314348 = V307342 + 1. assign V494467 = V471094. assign V030612 = V796256 - 1. assign V645493 = V795564 + 1. assign V128766 = V072112 - 1. assign V063059 = V415767. assign V488233 = V792863 + 1. assign V861108 = V448488 - 1. assign V448488 = V411290 + 1. assign V470662 = V814880. assign V842224 = V940652 + 1. assign V016979 = V179922. assign V814880 = V593959 + 1. assign V679179 = V492976 - 1. assign V311598 = V612288 - 1. assign V883220 = V573732. assign V307342 = V792863 + 1. assign V411290 = V795564 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V245515 = V645493 - 1. assign V286974 = V957044 - 1. assign V661386 = V748208. assign V592848 = V795564 + 1. assign V274241 = V373768. assign V943806 = V940652. assign V765616 = V814880 + 1. assign V705164 = V411290 + 1. assign V593959 = V003152. assign V283068 = V030612. assign V219081 = V644928. assign V003152 = V729620 + 1. assign V907449 = V731119. assign V350464 = V444821. assign V369657 = V350464 + 1. assign V613134 = V940652 + 1. assign V957044 = V337199 - 1. assign V878868 = V444821 - 1. assign V444821 = V593959 - 1. assign V874162 = V444821 - 1. assign V124278 = V731119 + 1. assign V612288 = 9. assign V716769 = V411290 - 1. assign V944377 = V729381. assign V483179 = V729381 + 1. assign V455501 = V706669 - 1. assign V644996 = V593959 + 1. assign V974064 = V592848 - 1. assign V492976 = V415767 - 1. assign V947436 = V663820 - 1. assign V722033 = V729620 + 1. assign V044824 = V716769 + 1. assign V179922 = V748208 + 1. assign V319099 = V072112. assign V337199 = V814880. assign V659711 = V471094 + 1. assign V468743 = V411290 - 1. assign V442622 = V314348 + 1. assign V729381 = V337199. assign V973243 = V645493 + 1. assign V037947 = V003152. assign V448235 = V684643 - 1. assign V373768 = V003152. assign V598764 = V274241. assign V644928 = V814880. assign V748208 = V795564. assign V706669 = V337199 - 1. assign V771445 = V684643. assign V553010 = V684643 - 1. assign V792863 = V373768. assign V017863 = V729381. assign V796256 = V716769 - 1. assign V562697 = V731119 - 1. assign V684643 = V592848 + 1. assign V522711 = V795564 - 1. assign V573732 = V796256 + 1. assign V471094 = V593959. assign V641297 = V319099 + 1. assign V795564 = V729620 - 1. assign V072112 = V592848. assign V865888 = V454956 - 1. assign V454956 = V748208. assign V415767 = V219081 + 1. assign V229729 = V219081 - 1. assign V663820 = V468743 + 1. assign V815608 = V373768. assign V940652 = V448488 + 1. assign V731119 = V796256 + 1. assign V314348 = V307342 + 1. assign V494467 = V471094. assign V030612 = V796256 - 1. assign V645493 = V795564 + 1. assign V128766 = V072112 - 1. assign V063059 = V415767. assign V488233 = V792863 + 1. assign V861108 = V448488 - 1. assign V448488 = V411290 + 1. assign V470662 = V814880. assign V842224 = V940652 + 1. assign V016979 = V179922. assign V814880 = V593959 + 1. assign V679179 = V492976 - 1. assign V311598 = V612288 - 1. assign V883220 = V573732. assign V307342 = V792863 + 1. assign V411290 = V795564 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV612288 = 9;\n\nFrom these direct assignment(s), we have: \nV311598 = V612288 - 1 = 9 - 1 =8;\nNo other variables can be derived from V311598;\nNo other variables can be derived from V612288;\n\nNow we have done all the calculations. Derived variables are:\nV612288 = 9;\nV311598 = 8;\n\nNow we have finished this problem. ANSWER:\nV311598\n", "role": "assistant" } ]

[ "V573533" ]

[ { "content": "<context>\nassign V165276 = V682022. assign V893099 = V248338 - 1. assign V240036 = V147747 + 1. assign V864308 = V438654 - 1. assign V573533 = 4. assign V552388 = V999430. assign V248338 = V374012 - 1. assign V021034 = V371569. assign V536835 = V158968 + 1. assign V149981 = V507150 + 1. assign V038041 = V913025 - 1. assign V807681 = V112173. assign V537171 = V747684. assign V536787 = V158014 + 1. assign V918809 = V999430 + 1. assign V517157 = V682022 - 1. assign V400365 = V898126 + 1. assign V939494 = V913025 - 1. assign V972854 = V536835 - 1. assign V641427 = V158014 - 1. assign V747684 = V653163 + 1. assign V326117 = V536835 - 1. assign V725445 = V248338 - 1. assign V300308 = V038041. assign V140093 = V536835. assign V361336 = V972854. assign V898126 = V191858. assign V576202 = V972854. assign V112173 = V038041 - 1. assign V589095 = V149981 + 1. assign V135798 = V725445. assign V448841 = V807681 - 1. assign V850534 = V589095 - 1. assign V374012 = V490656 - 1. assign V945080 = V259812 - 1. assign V449940 = V490644 - 1. assign V653163 = V147747. assign V433946 = V147747 - 1. assign V170725 = V682022 - 1. assign V914027 = V573533 + 1. assign V537929 = V536835 + 1. assign V147747 = V536835. assign V490644 = V898126. assign V777680 = V682022. assign V728983 = V025018 - 1. assign V312405 = V361336. assign V490656 = V147747. assign V191858 = V147747. assign V916242 = V898126 + 1. assign V097161 = V615167. assign V999094 = V913025 - 1. assign V945487 = V999094 + 1. assign V953591 = V954296. assign V796623 = V993961 - 1. assign V511646 = V038041 + 1. assign V158014 = V025018 - 1. assign V145330 = V537929 - 1. assign V913025 = V147747 + 1. assign V050601 = V191858. assign V465696 = V556542 - 1. assign V507150 = V191858. assign V747266 = V433946. assign V940051 = V112173 + 1. assign V556542 = V038041 - 1. assign V396673 = V400365. assign V300754 = V140093 - 1. assign V914244 = V747266. assign V616838 = V170725. assign V592462 = V025018 - 1. assign V954296 = V940051 - 1. assign V523692 = V747266. assign V834898 = V259812 - 1. assign V993961 = V490656. assign V507820 = V490656 + 1. assign V259812 = V589095 + 1. assign V487673 = V240036 - 1. assign V371569 = V142308 - 1. assign V615167 = V448841 + 1. assign V682022 = V140093 + 1. assign V025018 = V898126 - 1. assign V142308 = V170725 - 1. assign V438654 = V112173. assign V099302 = V248338 + 1. assign V690303 = V147747 + 1. assign V271434 = V312405 + 1. assign V999430 = V999094.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V165276 = V682022. assign V893099 = V248338 - 1. assign V240036 = V147747 + 1. assign V864308 = V438654 - 1. assign V573533 = 4. assign V552388 = V999430. assign V248338 = V374012 - 1. assign V021034 = V371569. assign V536835 = V158968 + 1. assign V149981 = V507150 + 1. assign V038041 = V913025 - 1. assign V807681 = V112173. assign V537171 = V747684. assign V536787 = V158014 + 1. assign V918809 = V999430 + 1. assign V517157 = V682022 - 1. assign V400365 = V898126 + 1. assign V939494 = V913025 - 1. assign V972854 = V536835 - 1. assign V641427 = V158014 - 1. assign V747684 = V653163 + 1. assign V326117 = V536835 - 1. assign V725445 = V248338 - 1. assign V300308 = V038041. assign V140093 = V536835. assign V361336 = V972854. assign V898126 = V191858. assign V576202 = V972854. assign V112173 = V038041 - 1. assign V589095 = V149981 + 1. assign V135798 = V725445. assign V448841 = V807681 - 1. assign V850534 = V589095 - 1. assign V374012 = V490656 - 1. assign V945080 = V259812 - 1. assign V449940 = V490644 - 1. assign V653163 = V147747. assign V433946 = V147747 - 1. assign V170725 = V682022 - 1. assign V914027 = V573533 + 1. assign V537929 = V536835 + 1. assign V147747 = V536835. assign V490644 = V898126. assign V777680 = V682022. assign V728983 = V025018 - 1. assign V312405 = V361336. assign V490656 = V147747. assign V191858 = V147747. assign V916242 = V898126 + 1. assign V097161 = V615167. assign V999094 = V913025 - 1. assign V945487 = V999094 + 1. assign V953591 = V954296. assign V796623 = V993961 - 1. assign V511646 = V038041 + 1. assign V158014 = V025018 - 1. assign V145330 = V537929 - 1. assign V913025 = V147747 + 1. assign V050601 = V191858. assign V465696 = V556542 - 1. assign V507150 = V191858. assign V747266 = V433946. assign V940051 = V112173 + 1. assign V556542 = V038041 - 1. assign V396673 = V400365. assign V300754 = V140093 - 1. assign V914244 = V747266. assign V616838 = V170725. assign V592462 = V025018 - 1. assign V954296 = V940051 - 1. assign V523692 = V747266. assign V834898 = V259812 - 1. assign V993961 = V490656. assign V507820 = V490656 + 1. assign V259812 = V589095 + 1. assign V487673 = V240036 - 1. assign V371569 = V142308 - 1. assign V615167 = V448841 + 1. assign V682022 = V140093 + 1. assign V025018 = V898126 - 1. assign V142308 = V170725 - 1. assign V438654 = V112173. assign V099302 = V248338 + 1. assign V690303 = V147747 + 1. assign V271434 = V312405 + 1. assign V999430 = V999094.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV573533 = 4;\n\nFrom these direct assignment(s), we have: \nV914027 = V573533 + 1 = 4 + 1 =5;\nNo other variables can be derived from V914027;\nNo other variables can be derived from V573533;\n\nNow we have done all the calculations. Derived variables are:\nV573533 = 4;\nV914027 = 5;\n\nNow we have finished this problem. ANSWER:\nV573533\n", "role": "assistant" } ]

[ "V824431", "V179530" ]

[ { "content": "<context>\nassign V867069 = V226730 - 1. assign V186448 = V662808 - 1. assign V986718 = V838363 + 1. assign V321119 = V867069 - 1. assign V759990 = V226730. assign V824431 = 2. assign V427986 = V468490 + 1. assign V763191 = V866831 - 1. assign V880054 = V059901 + 1. assign V792455 = V701852. assign V701852 = V759990. assign V934360 = V390400 + 1. assign V819738 = V319969 - 1. assign V798884 = V819738. assign V161810 = V554740 - 1. assign V179530 = V824431. assign V519715 = V812868 + 1. assign V571531 = V504651 + 1. assign V237911 = V662808 - 1. assign V246118 = V763191 + 1. assign V109080 = V095838 + 1. assign V935687 = V859893 - 1. assign V116996 = V384605 + 1. assign V426196 = V571049 + 1. assign V060604 = V880054 - 1. assign V947733 = V390400. assign V468490 = V398731 + 1. assign V454852 = V682588. assign V208468 = V798884. assign V268604 = V866831 - 1. assign V356857 = V398731 + 1. assign V078536 = V504651. assign V194351 = V426196 + 1. assign V449180 = V646652. assign V390400 = V468490. assign V725143 = V838363. assign V646652 = V725143 + 1. assign V447992 = V060604. assign V838363 = V319969 + 1. assign V807969 = V819738 + 1. assign V593280 = V116996. assign V596576 = V104839. assign V635502 = V571049 - 1. assign V226730 = V819738. assign V662808 = V972503 - 1. assign V554740 = V812868. assign V348715 = V060604 + 1. assign V595634 = V059901 + 1. assign V421149 = V807969 - 1. assign V866831 = V504651 - 1. assign V288380 = V268604. assign V053227 = V421149 - 1. assign V384605 = V972503 + 1. assign V999428 = V972503 - 1. assign V063803 = V819738 - 1. assign V504651 = V059901 + 1. assign V100599 = V244085 - 1. assign V571049 = V226730 - 1. assign V859893 = V375107. assign V223732 = V866831. assign V559459 = V859893. assign V407275 = V807969 + 1. assign V319969 = V384605. assign V338124 = V223732 + 1. assign V104839 = V407110 - 1. assign V189936 = V662808 + 1. assign V952938 = V880054 - 1. assign V670171 = V812868 - 1. assign V244085 = V194351 - 1. assign V133592 = V116996 + 1. assign V407110 = V819738. assign V704148 = V937359 - 1. assign V375107 = V992329 - 1. assign V847900 = V859893. assign V199246 = V593280 + 1. assign V095838 = V426196 + 1. assign V682588 = V595634. assign V398731 = V819738. assign V992329 = V398731. assign V298198 = V398731 + 1. assign V976109 = V095838 + 1. assign V937359 = V759990. assign V812868 = V880054. assign V444150 = V053227. assign V611516 = V356857. assign V059901 = V319969.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V867069 = V226730 - 1. assign V186448 = V662808 - 1. assign V986718 = V838363 + 1. assign V321119 = V867069 - 1. assign V759990 = V226730. assign V824431 = 2. assign V427986 = V468490 + 1. assign V763191 = V866831 - 1. assign V880054 = V059901 + 1. assign V792455 = V701852. assign V701852 = V759990. assign V934360 = V390400 + 1. assign V819738 = V319969 - 1. assign V798884 = V819738. assign V161810 = V554740 - 1. assign V179530 = V824431. assign V519715 = V812868 + 1. assign V571531 = V504651 + 1. assign V237911 = V662808 - 1. assign V246118 = V763191 + 1. assign V109080 = V095838 + 1. assign V935687 = V859893 - 1. assign V116996 = V384605 + 1. assign V426196 = V571049 + 1. assign V060604 = V880054 - 1. assign V947733 = V390400. assign V468490 = V398731 + 1. assign V454852 = V682588. assign V208468 = V798884. assign V268604 = V866831 - 1. assign V356857 = V398731 + 1. assign V078536 = V504651. assign V194351 = V426196 + 1. assign V449180 = V646652. assign V390400 = V468490. assign V725143 = V838363. assign V646652 = V725143 + 1. assign V447992 = V060604. assign V838363 = V319969 + 1. assign V807969 = V819738 + 1. assign V593280 = V116996. assign V596576 = V104839. assign V635502 = V571049 - 1. assign V226730 = V819738. assign V662808 = V972503 - 1. assign V554740 = V812868. assign V348715 = V060604 + 1. assign V595634 = V059901 + 1. assign V421149 = V807969 - 1. assign V866831 = V504651 - 1. assign V288380 = V268604. assign V053227 = V421149 - 1. assign V384605 = V972503 + 1. assign V999428 = V972503 - 1. assign V063803 = V819738 - 1. assign V504651 = V059901 + 1. assign V100599 = V244085 - 1. assign V571049 = V226730 - 1. assign V859893 = V375107. assign V223732 = V866831. assign V559459 = V859893. assign V407275 = V807969 + 1. assign V319969 = V384605. assign V338124 = V223732 + 1. assign V104839 = V407110 - 1. assign V189936 = V662808 + 1. assign V952938 = V880054 - 1. assign V670171 = V812868 - 1. assign V244085 = V194351 - 1. assign V133592 = V116996 + 1. assign V407110 = V819738. assign V704148 = V937359 - 1. assign V375107 = V992329 - 1. assign V847900 = V859893. assign V199246 = V593280 + 1. assign V095838 = V426196 + 1. assign V682588 = V595634. assign V398731 = V819738. assign V992329 = V398731. assign V298198 = V398731 + 1. assign V976109 = V095838 + 1. assign V937359 = V759990. assign V812868 = V880054. assign V444150 = V053227. assign V611516 = V356857. assign V059901 = V319969.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV824431 = 2;\n\nFrom these direct assignment(s), we have: \nV179530 = V824431 = 2;\nNo other variables can be derived from V179530;\nNo other variables can be derived from V824431;\n\nNow we have done all the calculations. Derived variables are:\nV824431 = 2;\nV179530 = 2;\n\nNow we have finished this problem. ANSWER:\nV824431, V179530\n", "role": "assistant" } ]

[ "V734415" ]

[ { "content": "<context>\nassign V590921 = V921732. assign V921732 = V395727. assign V211346 = V346268 + 1. assign V323013 = V429158. assign V398428 = V826337 - 1. assign V435950 = V564412 + 1. assign V124143 = V395727 - 1. assign V074455 = V373682 + 1. assign V444620 = V410865 + 1. assign V073763 = V791199 + 1. assign V525166 = V590921 - 1. assign V707235 = V688149 - 1. assign V658272 = V240412. assign V697083 = V688149 + 1. assign V344451 = V478291. assign V019374 = V346268 - 1. assign V734415 = 2. assign V616784 = V346268 - 1. assign V095324 = V616923. assign V462779 = V163648 + 1. assign V564412 = V395727 + 1. assign V371494 = V616784 - 1. assign V410865 = V346268 + 1. assign V877375 = V043632. assign V559593 = V875892. assign V479850 = V921732. assign V002392 = V616923. assign V043632 = V478291 - 1. assign V502209 = V658272 + 1. assign V378893 = V840404 - 1. assign V616923 = V478291 - 1. assign V007568 = V682244 + 1. assign V113773 = V921732 - 1. assign V478291 = V193131 - 1. assign V343056 = V707235. assign V791199 = V616784 - 1. assign V818768 = V201191 + 1. assign V069756 = V370416 + 1. assign V059929 = V812413. assign V593913 = V163648. assign V105171 = V370416 + 1. assign V045066 = V593913. assign V918178 = V707235. assign V005456 = V007568. assign V840404 = V483796. assign V011309 = V163560 + 1. assign V297306 = V797074. assign V401635 = V918178 - 1. assign V812413 = V045066 - 1. assign V236008 = V791199 + 1. assign V826337 = V375233 - 1. assign V553828 = V193131 + 1. assign V873984 = V671017 - 1. assign V676645 = V346268. assign V769873 = V344451. assign V163648 = V921732 - 1. assign V036431 = V676645 + 1. assign V195574 = V791199 - 1. assign V373682 = V429158 - 1. assign V375233 = V043632. assign V044310 = V564412. assign V671017 = V043632 - 1. assign V163560 = V163648 + 1. assign V193131 = V163648 + 1. assign V201191 = V346268 - 1. assign V688149 = V395727 + 1. assign V393532 = V562716 + 1. assign V548312 = V826337 - 1. assign V416935 = V697083 + 1. assign V682244 = V688149. assign V875892 = V346268. assign V346268 = V688149 + 1. assign V197496 = V616923 + 1. assign V797074 = V479850 - 1. assign V370416 = V113773 - 1. assign V175609 = V007568 + 1. assign V070854 = V236008. assign V445922 = V590921 - 1. assign V030186 = V734415 - 1. assign V949418 = V395727 + 1. assign V240412 = V019374 + 1. assign V562716 = V826337. assign V429158 = V688149 - 1. assign V483796 = V435950 - 1. assign V255192 = V201191 - 1. assign V820806 = V124143 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V590921 = V921732. assign V921732 = V395727. assign V211346 = V346268 + 1. assign V323013 = V429158. assign V398428 = V826337 - 1. assign V435950 = V564412 + 1. assign V124143 = V395727 - 1. assign V074455 = V373682 + 1. assign V444620 = V410865 + 1. assign V073763 = V791199 + 1. assign V525166 = V590921 - 1. assign V707235 = V688149 - 1. assign V658272 = V240412. assign V697083 = V688149 + 1. assign V344451 = V478291. assign V019374 = V346268 - 1. assign V734415 = 2. assign V616784 = V346268 - 1. assign V095324 = V616923. assign V462779 = V163648 + 1. assign V564412 = V395727 + 1. assign V371494 = V616784 - 1. assign V410865 = V346268 + 1. assign V877375 = V043632. assign V559593 = V875892. assign V479850 = V921732. assign V002392 = V616923. assign V043632 = V478291 - 1. assign V502209 = V658272 + 1. assign V378893 = V840404 - 1. assign V616923 = V478291 - 1. assign V007568 = V682244 + 1. assign V113773 = V921732 - 1. assign V478291 = V193131 - 1. assign V343056 = V707235. assign V791199 = V616784 - 1. assign V818768 = V201191 + 1. assign V069756 = V370416 + 1. assign V059929 = V812413. assign V593913 = V163648. assign V105171 = V370416 + 1. assign V045066 = V593913. assign V918178 = V707235. assign V005456 = V007568. assign V840404 = V483796. assign V011309 = V163560 + 1. assign V297306 = V797074. assign V401635 = V918178 - 1. assign V812413 = V045066 - 1. assign V236008 = V791199 + 1. assign V826337 = V375233 - 1. assign V553828 = V193131 + 1. assign V873984 = V671017 - 1. assign V676645 = V346268. assign V769873 = V344451. assign V163648 = V921732 - 1. assign V036431 = V676645 + 1. assign V195574 = V791199 - 1. assign V373682 = V429158 - 1. assign V375233 = V043632. assign V044310 = V564412. assign V671017 = V043632 - 1. assign V163560 = V163648 + 1. assign V193131 = V163648 + 1. assign V201191 = V346268 - 1. assign V688149 = V395727 + 1. assign V393532 = V562716 + 1. assign V548312 = V826337 - 1. assign V416935 = V697083 + 1. assign V682244 = V688149. assign V875892 = V346268. assign V346268 = V688149 + 1. assign V197496 = V616923 + 1. assign V797074 = V479850 - 1. assign V370416 = V113773 - 1. assign V175609 = V007568 + 1. assign V070854 = V236008. assign V445922 = V590921 - 1. assign V030186 = V734415 - 1. assign V949418 = V395727 + 1. assign V240412 = V019374 + 1. assign V562716 = V826337. assign V429158 = V688149 - 1. assign V483796 = V435950 - 1. assign V255192 = V201191 - 1. assign V820806 = V124143 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV734415 = 2;\n\nFrom these direct assignment(s), we have: \nV030186 = V734415 - 1 = 2 - 1 =1;\nNo other variables can be derived from V030186;\nNo other variables can be derived from V734415;\n\nNow we have done all the calculations. Derived variables are:\nV734415 = 2;\nV030186 = 1;\n\nNow we have finished this problem. ANSWER:\nV734415\n", "role": "assistant" } ]

[ "V747163", "V394093" ]

[ { "content": "<context>\nassign V059853 = V003314 + 1. assign V529349 = V511221 + 1. assign V847048 = V224868. assign V557650 = V382384 + 1. assign V680667 = V224868 - 1. assign V030956 = V309071. assign V747163 = 3. assign V247824 = V459506 + 1. assign V310035 = V615833. assign V394093 = V747163. assign V388403 = V009214. assign V920878 = V309071 + 1. assign V068970 = V250677 + 1. assign V077747 = V615833 - 1. assign V836184 = V946180 - 1. assign V831437 = V146604. assign V504760 = V727999 - 1. assign V096276 = V818725. assign V814166 = V928211 + 1. assign V461444 = V727999. assign V716170 = V727999 + 1. assign V623531 = V333705 - 1. assign V333705 = V615833. assign V901346 = V003314 - 1. assign V039857 = V003314. assign V851231 = V847048 + 1. assign V146604 = V680667 + 1. assign V037133 = V847048. assign V363288 = V770006 - 1. assign V875960 = V459506. assign V613939 = V569485. assign V946180 = V676350. assign V727999 = V680667 + 1. assign V082730 = V818725. assign V382384 = V077747 - 1. assign V633330 = V770006. assign V930321 = V202556. assign V211443 = V382384 - 1. assign V603458 = V770006 - 1. assign V434479 = V077747 + 1. assign V642488 = V030956 + 1. assign V003314 = V787406 + 1. assign V642878 = V540525. assign V520821 = V875960 - 1. assign V676350 = V009214 + 1. assign V459506 = V930321. assign V726702 = V265132 + 1. assign V265132 = V310035 - 1. assign V632813 = V642878 + 1. assign V770006 = V310035 + 1. assign V202556 = V868980. assign V736959 = V920878 + 1. assign V585030 = V250677 - 1. assign V099393 = V265132. assign V818725 = V787406 + 1. assign V497980 = V211443 + 1. assign V111354 = V736959. assign V540525 = V569485 - 1. assign V887601 = V434479. assign V349958 = V818725 + 1. assign V246603 = V030956. assign V557010 = V310035. assign V874900 = V250677. assign V695238 = V851231 + 1. assign V928211 = V770006 - 1. assign V275493 = V569485 + 1. assign V494665 = V680667. assign V569485 = V818725. assign V820420 = V202556. assign V592309 = V363288 + 1. assign V511221 = V211443 - 1. assign V250677 = V680667 - 1. assign V619889 = V096276 + 1. assign V661531 = V059853 - 1. assign V753006 = V726702 + 1. assign V224868 = V615833. assign V966538 = V082730 + 1. assign V162476 = V246603 + 1. assign V625396 = V202556. assign V405243 = V333705. assign V185721 = V037133 - 1. assign V173789 = V003314. assign V615833 = V787406 + 1. assign V009214 = V680667. assign V309071 = V787406. assign V868980 = V787406 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V059853 = V003314 + 1. assign V529349 = V511221 + 1. assign V847048 = V224868. assign V557650 = V382384 + 1. assign V680667 = V224868 - 1. assign V030956 = V309071. assign V747163 = 3. assign V247824 = V459506 + 1. assign V310035 = V615833. assign V394093 = V747163. assign V388403 = V009214. assign V920878 = V309071 + 1. assign V068970 = V250677 + 1. assign V077747 = V615833 - 1. assign V836184 = V946180 - 1. assign V831437 = V146604. assign V504760 = V727999 - 1. assign V096276 = V818725. assign V814166 = V928211 + 1. assign V461444 = V727999. assign V716170 = V727999 + 1. assign V623531 = V333705 - 1. assign V333705 = V615833. assign V901346 = V003314 - 1. assign V039857 = V003314. assign V851231 = V847048 + 1. assign V146604 = V680667 + 1. assign V037133 = V847048. assign V363288 = V770006 - 1. assign V875960 = V459506. assign V613939 = V569485. assign V946180 = V676350. assign V727999 = V680667 + 1. assign V082730 = V818725. assign V382384 = V077747 - 1. assign V633330 = V770006. assign V930321 = V202556. assign V211443 = V382384 - 1. assign V603458 = V770006 - 1. assign V434479 = V077747 + 1. assign V642488 = V030956 + 1. assign V003314 = V787406 + 1. assign V642878 = V540525. assign V520821 = V875960 - 1. assign V676350 = V009214 + 1. assign V459506 = V930321. assign V726702 = V265132 + 1. assign V265132 = V310035 - 1. assign V632813 = V642878 + 1. assign V770006 = V310035 + 1. assign V202556 = V868980. assign V736959 = V920878 + 1. assign V585030 = V250677 - 1. assign V099393 = V265132. assign V818725 = V787406 + 1. assign V497980 = V211443 + 1. assign V111354 = V736959. assign V540525 = V569485 - 1. assign V887601 = V434479. assign V349958 = V818725 + 1. assign V246603 = V030956. assign V557010 = V310035. assign V874900 = V250677. assign V695238 = V851231 + 1. assign V928211 = V770006 - 1. assign V275493 = V569485 + 1. assign V494665 = V680667. assign V569485 = V818725. assign V820420 = V202556. assign V592309 = V363288 + 1. assign V511221 = V211443 - 1. assign V250677 = V680667 - 1. assign V619889 = V096276 + 1. assign V661531 = V059853 - 1. assign V753006 = V726702 + 1. assign V224868 = V615833. assign V966538 = V082730 + 1. assign V162476 = V246603 + 1. assign V625396 = V202556. assign V405243 = V333705. assign V185721 = V037133 - 1. assign V173789 = V003314. assign V615833 = V787406 + 1. assign V009214 = V680667. assign V309071 = V787406. assign V868980 = V787406 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV747163 = 3;\n\nFrom these direct assignment(s), we have: \nV394093 = V747163 = 3;\nNo other variables can be derived from V394093;\nNo other variables can be derived from V747163;\n\nNow we have done all the calculations. Derived variables are:\nV747163 = 3;\nV394093 = 3;\n\nNow we have finished this problem. ANSWER:\nV747163, V394093\n", "role": "assistant" } ]