Datasets:

---

suehyunpark

/

gsm_infinite_symbolic_1k

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" } ]

[ "V519706" ]

[ { "content": "<context>\nassign V382853 = V254487 + 1. assign V488807 = V554049. assign V674853 = V641109 + 1. assign V501175 = V044587. assign V145575 = V742547 + 1. assign V113271 = V202063 - 1. assign V641109 = V267917 - 1. assign V989981 = V641109 - 1. assign V833365 = V762798 + 1. assign V575650 = V092852. assign V181835 = V267917. assign V339934 = V491233 + 1. assign V886407 = V742547 + 1. assign V762798 = V321707 + 1. assign V570250 = V513978 - 1. assign V374642 = V674853 + 1. assign V298552 = V989981. assign V513978 = V631957. assign V703996 = V583052 - 1. assign V188723 = V267917 - 1. assign V647327 = V378978. assign V321707 = V583052. assign V980820 = V375758 + 1. assign V229041 = V374642 - 1. assign V692342 = V946245 + 1. assign V713815 = 2. assign V763894 = V946245 - 1. assign V151703 = V719176 + 1. assign V946245 = V396404. assign V030052 = V186330 - 1. assign V147182 = V657412. assign V718363 = V647327 + 1. assign V800823 = V374642 - 1. assign V706884 = V378978 + 1. assign V773267 = V188723 - 1. assign V990304 = V879825. assign V840950 = V837782 + 1. assign V631957 = V339934 + 1. assign V202063 = V396404 - 1. assign V581079 = V188723. assign V378978 = V267917 - 1. assign V935807 = V554049 - 1. assign V519706 = V713815 + 1. assign V583052 = V706884 - 1. assign V950564 = V188723 + 1. assign V920683 = V886407 + 1. assign V300789 = V871588 + 1. assign V657412 = V950564. assign V155032 = V188723 - 1. assign V147206 = V837782 + 1. assign V092852 = V706884 + 1. assign V287453 = V077061 - 1. assign V397811 = V488807 - 1. assign V491233 = V719005 - 1. assign V991759 = V575650 + 1. assign V976830 = V229041 + 1. assign V044587 = V706884 - 1. assign V077061 = V950564. assign V719176 = V583052 - 1. assign V721869 = V339934. assign V376634 = V147206 - 1. assign V371729 = V202063 + 1. assign V010965 = V706884 - 1. assign V621342 = V575650 + 1. assign V554049 = V188723 + 1. assign V742547 = V378978 - 1. assign V777047 = V337741 - 1. assign V254487 = V691245. assign V640918 = V575650 + 1. assign V204300 = V396404. assign V024108 = V879825 - 1. assign V186330 = V946245 + 1. assign V337741 = V371729 + 1. assign V375758 = V491233. assign V871588 = V147182 - 1. assign V313789 = V371729 - 1. assign V855220 = V719005. assign V331025 = V840950 + 1. assign V396404 = V742547 - 1. assign V837782 = V267917 + 1. assign V879825 = V837782 - 1. assign V907935 = V513978. assign V691245 = V674853. assign V708038 = V581079. assign V719005 = V044587 - 1. assign V061867 = V946245 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V382853 = V254487 + 1. assign V488807 = V554049. assign V674853 = V641109 + 1. assign V501175 = V044587. assign V145575 = V742547 + 1. assign V113271 = V202063 - 1. assign V641109 = V267917 - 1. assign V989981 = V641109 - 1. assign V833365 = V762798 + 1. assign V575650 = V092852. assign V181835 = V267917. assign V339934 = V491233 + 1. assign V886407 = V742547 + 1. assign V762798 = V321707 + 1. assign V570250 = V513978 - 1. assign V374642 = V674853 + 1. assign V298552 = V989981. assign V513978 = V631957. assign V703996 = V583052 - 1. assign V188723 = V267917 - 1. assign V647327 = V378978. assign V321707 = V583052. assign V980820 = V375758 + 1. assign V229041 = V374642 - 1. assign V692342 = V946245 + 1. assign V713815 = 2. assign V763894 = V946245 - 1. assign V151703 = V719176 + 1. assign V946245 = V396404. assign V030052 = V186330 - 1. assign V147182 = V657412. assign V718363 = V647327 + 1. assign V800823 = V374642 - 1. assign V706884 = V378978 + 1. assign V773267 = V188723 - 1. assign V990304 = V879825. assign V840950 = V837782 + 1. assign V631957 = V339934 + 1. assign V202063 = V396404 - 1. assign V581079 = V188723. assign V378978 = V267917 - 1. assign V935807 = V554049 - 1. assign V519706 = V713815 + 1. assign V583052 = V706884 - 1. assign V950564 = V188723 + 1. assign V920683 = V886407 + 1. assign V300789 = V871588 + 1. assign V657412 = V950564. assign V155032 = V188723 - 1. assign V147206 = V837782 + 1. assign V092852 = V706884 + 1. assign V287453 = V077061 - 1. assign V397811 = V488807 - 1. assign V491233 = V719005 - 1. assign V991759 = V575650 + 1. assign V976830 = V229041 + 1. assign V044587 = V706884 - 1. assign V077061 = V950564. assign V719176 = V583052 - 1. assign V721869 = V339934. assign V376634 = V147206 - 1. assign V371729 = V202063 + 1. assign V010965 = V706884 - 1. assign V621342 = V575650 + 1. assign V554049 = V188723 + 1. assign V742547 = V378978 - 1. assign V777047 = V337741 - 1. assign V254487 = V691245. assign V640918 = V575650 + 1. assign V204300 = V396404. assign V024108 = V879825 - 1. assign V186330 = V946245 + 1. assign V337741 = V371729 + 1. assign V375758 = V491233. assign V871588 = V147182 - 1. assign V313789 = V371729 - 1. assign V855220 = V719005. assign V331025 = V840950 + 1. assign V396404 = V742547 - 1. assign V837782 = V267917 + 1. assign V879825 = V837782 - 1. assign V907935 = V513978. assign V691245 = V674853. assign V708038 = V581079. assign V719005 = V044587 - 1. assign V061867 = V946245 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV713815 = 2;\n\nFrom these direct assignment(s), we have: \nV519706 = V713815 + 1 = 2 + 1 =3;\nNo other variables can be derived from V519706;\nNo other variables can be derived from V713815;\n\nNow we have done all the calculations. Derived variables are:\nV713815 = 2;\nV519706 = 3;\n\nNow we have finished this problem. ANSWER:\nV519706\n", "role": "assistant" } ]

[ "V395755", "V860282" ]

[ { "content": "<context>\nassign V662489 = V252294. assign V989888 = V199402 + 1. assign V492537 = V786808. assign V130198 = V252294 - 1. assign V015182 = V252294 - 1. assign V673932 = V130198. assign V732426 = V989888 - 1. assign V215464 = V808526. assign V032746 = V491181 - 1. assign V927520 = V199402 + 1. assign V102946 = V192325 - 1. assign V769208 = V202567. assign V478209 = V556760 - 1. assign V860282 = V395755. assign V808526 = V782013. assign V287789 = V389622. assign V854827 = V508976 - 1. assign V624578 = V287789. assign V202567 = V662489 - 1. assign V316595 = V130198. assign V642279 = V073720 + 1. assign V461105 = V316595 - 1. assign V210813 = V989888 - 1. assign V126007 = V386895. assign V002468 = V805630 + 1. assign V964543 = V531018 - 1. assign V687779 = V597937. assign V304212 = V989888 - 1. assign V055031 = V197939 + 1. assign V685585 = V461105 - 1. assign V491181 = V782013 - 1. assign V073720 = V662489. assign V782013 = V509099. assign V253693 = V927520 + 1. assign V325762 = V523415 + 1. assign V553659 = V508976 - 1. assign V559166 = V799959 - 1. assign V192325 = V732426. assign V807553 = V202567 - 1. assign V230945 = V927520. assign V117579 = V630099. assign V523415 = V304212 - 1. assign V673634 = V287789. assign V146121 = V199402 - 1. assign V531018 = V210813 - 1. assign V597937 = V585713 + 1. assign V199402 = V786808 - 1. assign V406076 = V197939 - 1. assign V839903 = V509099. assign V446269 = V015182. assign V386895 = V146121 - 1. assign V185558 = V248703. assign V556760 = V197939 + 1. assign V509099 = V508976. assign V649242 = V368235. assign V456436 = V809439 - 1. assign V435419 = V989888 - 1. assign V809439 = V126007 - 1. assign V426517 = V210813 - 1. assign V924488 = V389622 + 1. assign V805630 = V252294 - 1. assign V675755 = V248703. assign V389622 = V796183. assign V786808 = V509099. assign V406597 = V809439 - 1. assign V585713 = V368235 - 1. assign V368235 = V185558 + 1. assign V796183 = V146121 - 1. assign V197939 = V509099 - 1. assign V364626 = V799959 - 1. assign V991788 = V146121 + 1. assign V740234 = V304212. assign V661908 = V673932 - 1. assign V395755 = 1. assign V962615 = V185558 - 1. assign V630099 = V782013. assign V146091 = V809439. assign V201545 = V192325 + 1. assign V252294 = V248703 + 1. assign V799959 = V435419. assign V248703 = V786808 - 1. assign V277738 = V435419. assign V588502 = V927520. assign V316112 = V287789 + 1. assign V381148 = V201545 - 1. assign V406981 = V854827 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V662489 = V252294. assign V989888 = V199402 + 1. assign V492537 = V786808. assign V130198 = V252294 - 1. assign V015182 = V252294 - 1. assign V673932 = V130198. assign V732426 = V989888 - 1. assign V215464 = V808526. assign V032746 = V491181 - 1. assign V927520 = V199402 + 1. assign V102946 = V192325 - 1. assign V769208 = V202567. assign V478209 = V556760 - 1. assign V860282 = V395755. assign V808526 = V782013. assign V287789 = V389622. assign V854827 = V508976 - 1. assign V624578 = V287789. assign V202567 = V662489 - 1. assign V316595 = V130198. assign V642279 = V073720 + 1. assign V461105 = V316595 - 1. assign V210813 = V989888 - 1. assign V126007 = V386895. assign V002468 = V805630 + 1. assign V964543 = V531018 - 1. assign V687779 = V597937. assign V304212 = V989888 - 1. assign V055031 = V197939 + 1. assign V685585 = V461105 - 1. assign V491181 = V782013 - 1. assign V073720 = V662489. assign V782013 = V509099. assign V253693 = V927520 + 1. assign V325762 = V523415 + 1. assign V553659 = V508976 - 1. assign V559166 = V799959 - 1. assign V192325 = V732426. assign V807553 = V202567 - 1. assign V230945 = V927520. assign V117579 = V630099. assign V523415 = V304212 - 1. assign V673634 = V287789. assign V146121 = V199402 - 1. assign V531018 = V210813 - 1. assign V597937 = V585713 + 1. assign V199402 = V786808 - 1. assign V406076 = V197939 - 1. assign V839903 = V509099. assign V446269 = V015182. assign V386895 = V146121 - 1. assign V185558 = V248703. assign V556760 = V197939 + 1. assign V509099 = V508976. assign V649242 = V368235. assign V456436 = V809439 - 1. assign V435419 = V989888 - 1. assign V809439 = V126007 - 1. assign V426517 = V210813 - 1. assign V924488 = V389622 + 1. assign V805630 = V252294 - 1. assign V675755 = V248703. assign V389622 = V796183. assign V786808 = V509099. assign V406597 = V809439 - 1. assign V585713 = V368235 - 1. assign V368235 = V185558 + 1. assign V796183 = V146121 - 1. assign V197939 = V509099 - 1. assign V364626 = V799959 - 1. assign V991788 = V146121 + 1. assign V740234 = V304212. assign V661908 = V673932 - 1. assign V395755 = 1. assign V962615 = V185558 - 1. assign V630099 = V782013. assign V146091 = V809439. assign V201545 = V192325 + 1. assign V252294 = V248703 + 1. assign V799959 = V435419. assign V248703 = V786808 - 1. assign V277738 = V435419. assign V588502 = V927520. assign V316112 = V287789 + 1. assign V381148 = V201545 - 1. assign V406981 = V854827 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV395755 = 1;\n\nFrom these direct assignment(s), we have: \nV860282 = V395755 = 1;\nNo other variables can be derived from V860282;\nNo other variables can be derived from V395755;\n\nNow we have done all the calculations. Derived variables are:\nV395755 = 1;\nV860282 = 1;\n\nNow we have finished this problem. ANSWER:\nV395755, V860282\n", "role": "assistant" } ]

[ "V522080", "V818430" ]

[ { "content": "<context>\nassign V587805 = V327677 - 1. assign V468557 = V978325. assign V855383 = V995652. assign V272938 = V866968 + 1. assign V197148 = V272938 + 1. assign V819840 = V642652 - 1. assign V978325 = V250822 - 1. assign V929664 = V665136. assign V574913 = V855383. assign V372665 = V929664. assign V448774 = V964089 + 1. assign V395786 = V420459 - 1. assign V646878 = V401432. assign V624570 = V033389 + 1. assign V393562 = V420459 - 1. assign V589569 = V497528 - 1. assign V327677 = V263544. assign V296294 = V171405 - 1. assign V504464 = V531307 - 1. assign V432219 = V684332. assign V531307 = V401432. assign V214351 = V263544 - 1. assign V339369 = V327677 - 1. assign V613992 = V646878 + 1. assign V136399 = V237446 - 1. assign V027426 = V613992. assign V706082 = V264949 - 1. assign V964089 = V197885 + 1. assign V859901 = V327677 + 1. assign V296622 = V420459 - 1. assign V684332 = V264949. assign V743607 = V214351 - 1. assign V320437 = V197885. assign V570828 = V646878. assign V966595 = V975022 + 1. assign V106553 = V117461. assign V527203 = V648789 - 1. assign V197885 = V491535. assign V633211 = V624570 + 1. assign V396729 = V545405 - 1. assign V167429 = V624570 + 1. assign V866968 = V491535 - 1. assign V460219 = V589569 - 1. assign V835203 = V372665 - 1. assign V263544 = V197885 - 1. assign V237446 = V401432 - 1. assign V642652 = V491535. assign V250822 = V505641 + 1. assign V420459 = V491535 + 1. assign V339127 = V320437 + 1. assign V719571 = V646878 + 1. assign V317011 = V033389 + 1. assign V545405 = V117461. assign V818430 = V522080. assign V739431 = V033389 - 1. assign V648789 = V320437 - 1. assign V431953 = V506281 + 1. assign V702711 = V665136 - 1. assign V654781 = V684370 + 1. assign V522080 = 1. assign V820625 = V197885. assign V666335 = V506281. assign V255359 = V991518. assign V823693 = V497528 + 1. assign V876113 = V855383. assign V684370 = V420459 - 1. assign V476057 = V978325 - 1. assign V934368 = V136399 - 1. assign V367881 = V646878 + 1. assign V506281 = V823693. assign V401432 = V250822 + 1. assign V264949 = V296622 - 1. assign V491535 = V505641 - 1. assign V149620 = V320437 - 1. assign V253376 = V995652 + 1. assign V117461 = V978325. assign V665136 = V197885 + 1. assign V991518 = V642652 - 1. assign V995652 = V505641 - 1. assign V906197 = V033389 + 1. assign V497528 = V420459 + 1. assign V137101 = V648789 - 1. assign V033389 = V420459 - 1. assign V380860 = V317011 - 1. assign V975022 = V250822 + 1. assign V171405 = V476057.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V587805 = V327677 - 1. assign V468557 = V978325. assign V855383 = V995652. assign V272938 = V866968 + 1. assign V197148 = V272938 + 1. assign V819840 = V642652 - 1. assign V978325 = V250822 - 1. assign V929664 = V665136. assign V574913 = V855383. assign V372665 = V929664. assign V448774 = V964089 + 1. assign V395786 = V420459 - 1. assign V646878 = V401432. assign V624570 = V033389 + 1. assign V393562 = V420459 - 1. assign V589569 = V497528 - 1. assign V327677 = V263544. assign V296294 = V171405 - 1. assign V504464 = V531307 - 1. assign V432219 = V684332. assign V531307 = V401432. assign V214351 = V263544 - 1. assign V339369 = V327677 - 1. assign V613992 = V646878 + 1. assign V136399 = V237446 - 1. assign V027426 = V613992. assign V706082 = V264949 - 1. assign V964089 = V197885 + 1. assign V859901 = V327677 + 1. assign V296622 = V420459 - 1. assign V684332 = V264949. assign V743607 = V214351 - 1. assign V320437 = V197885. assign V570828 = V646878. assign V966595 = V975022 + 1. assign V106553 = V117461. assign V527203 = V648789 - 1. assign V197885 = V491535. assign V633211 = V624570 + 1. assign V396729 = V545405 - 1. assign V167429 = V624570 + 1. assign V866968 = V491535 - 1. assign V460219 = V589569 - 1. assign V835203 = V372665 - 1. assign V263544 = V197885 - 1. assign V237446 = V401432 - 1. assign V642652 = V491535. assign V250822 = V505641 + 1. assign V420459 = V491535 + 1. assign V339127 = V320437 + 1. assign V719571 = V646878 + 1. assign V317011 = V033389 + 1. assign V545405 = V117461. assign V818430 = V522080. assign V739431 = V033389 - 1. assign V648789 = V320437 - 1. assign V431953 = V506281 + 1. assign V702711 = V665136 - 1. assign V654781 = V684370 + 1. assign V522080 = 1. assign V820625 = V197885. assign V666335 = V506281. assign V255359 = V991518. assign V823693 = V497528 + 1. assign V876113 = V855383. assign V684370 = V420459 - 1. assign V476057 = V978325 - 1. assign V934368 = V136399 - 1. assign V367881 = V646878 + 1. assign V506281 = V823693. assign V401432 = V250822 + 1. assign V264949 = V296622 - 1. assign V491535 = V505641 - 1. assign V149620 = V320437 - 1. assign V253376 = V995652 + 1. assign V117461 = V978325. assign V665136 = V197885 + 1. assign V991518 = V642652 - 1. assign V995652 = V505641 - 1. assign V906197 = V033389 + 1. assign V497528 = V420459 + 1. assign V137101 = V648789 - 1. assign V033389 = V420459 - 1. assign V380860 = V317011 - 1. assign V975022 = V250822 + 1. assign V171405 = V476057.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV522080 = 1;\n\nFrom these direct assignment(s), we have: \nV818430 = V522080 = 1;\nNo other variables can be derived from V818430;\nNo other variables can be derived from V522080;\n\nNow we have done all the calculations. Derived variables are:\nV522080 = 1;\nV818430 = 1;\n\nNow we have finished this problem. ANSWER:\nV522080, V818430\n", "role": "assistant" } ]

[ "V438648" ]

[ { "content": "<context>\nassign V339847 = V351713. assign V982048 = V307346 + 1. assign V379947 = V127965 + 1. assign V446513 = V561051. assign V351713 = V464554. assign V034199 = V325818. assign V415725 = V951357. assign V837846 = V909426. assign V726834 = V332283 - 1. assign V966952 = V456154. assign V416729 = V561051 - 1. assign V492773 = V501866 + 1. assign V061376 = V041018 + 1. assign V049321 = V163784 - 1. assign V101009 = V446513. assign V729266 = V561051 + 1. assign V635257 = V757048 + 1. assign V438648 = V852182 + 1. assign V332283 = V613308 + 1. assign V049297 = V778331 + 1. assign V501866 = V909426 + 1. assign V164790 = V518031 + 1. assign V333973 = V332283 - 1. assign V307384 = V501866 - 1. assign V982083 = V825283 - 1. assign V759541 = V464554 + 1. assign V613308 = V909426. assign V938935 = V101009. assign V066129 = V041018 + 1. assign V524448 = V089264. assign V325818 = V561051 + 1. assign V193376 = V127965 + 1. assign V456154 = V613308 - 1. assign V962897 = V456154 - 1. assign V479997 = V501866 + 1. assign V132714 = V684573. assign V333672 = V918560. assign V354062 = V307384 + 1. assign V983885 = V918560 - 1. assign V971424 = V837210 + 1. assign V837210 = V464554. assign V206196 = V909426. assign V743348 = V837210 - 1. assign V464554 = V561051 - 1. assign V742707 = V909426 + 1. assign V052580 = V765620 - 1. assign V740582 = V351713. assign V778331 = V759541 + 1. assign V765620 = V351713. assign V385857 = V464554 + 1. assign V884881 = V938935 - 1. assign V570448 = V307384 + 1. assign V041018 = V416729 + 1. assign V001955 = V837210. assign V281448 = V442395 + 1. assign V757048 = V729266 - 1. assign V720776 = V542040. assign V664503 = V193376 - 1. assign V127965 = V825283 - 1. assign V909426 = V325818. assign V147420 = V325818. assign V666316 = V333672 + 1. assign V852182 = 7. assign V099375 = V570448. assign V986238 = V623062. assign V623062 = V307346 - 1. assign V089264 = V909426. assign V918560 = V325818. assign V825283 = V163784 - 1. assign V250234 = V041018. assign V874234 = V416729 - 1. assign V258805 = V983885 + 1. assign V542040 = V464554 + 1. assign V212812 = V520730. assign V520730 = V759541 - 1. assign V163784 = V909426 + 1. assign V686624 = V742707 - 1. assign V307346 = V333672 - 1. assign V927052 = V684573. assign V951357 = V918560. assign V518031 = V089264. assign V735548 = V250234 + 1. assign V442395 = V351713 + 1. assign V684573 = V971424 + 1. assign V080607 = V333973 - 1. assign V329024 = V501866 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V339847 = V351713. assign V982048 = V307346 + 1. assign V379947 = V127965 + 1. assign V446513 = V561051. assign V351713 = V464554. assign V034199 = V325818. assign V415725 = V951357. assign V837846 = V909426. assign V726834 = V332283 - 1. assign V966952 = V456154. assign V416729 = V561051 - 1. assign V492773 = V501866 + 1. assign V061376 = V041018 + 1. assign V049321 = V163784 - 1. assign V101009 = V446513. assign V729266 = V561051 + 1. assign V635257 = V757048 + 1. assign V438648 = V852182 + 1. assign V332283 = V613308 + 1. assign V049297 = V778331 + 1. assign V501866 = V909426 + 1. assign V164790 = V518031 + 1. assign V333973 = V332283 - 1. assign V307384 = V501866 - 1. assign V982083 = V825283 - 1. assign V759541 = V464554 + 1. assign V613308 = V909426. assign V938935 = V101009. assign V066129 = V041018 + 1. assign V524448 = V089264. assign V325818 = V561051 + 1. assign V193376 = V127965 + 1. assign V456154 = V613308 - 1. assign V962897 = V456154 - 1. assign V479997 = V501866 + 1. assign V132714 = V684573. assign V333672 = V918560. assign V354062 = V307384 + 1. assign V983885 = V918560 - 1. assign V971424 = V837210 + 1. assign V837210 = V464554. assign V206196 = V909426. assign V743348 = V837210 - 1. assign V464554 = V561051 - 1. assign V742707 = V909426 + 1. assign V052580 = V765620 - 1. assign V740582 = V351713. assign V778331 = V759541 + 1. assign V765620 = V351713. assign V385857 = V464554 + 1. assign V884881 = V938935 - 1. assign V570448 = V307384 + 1. assign V041018 = V416729 + 1. assign V001955 = V837210. assign V281448 = V442395 + 1. assign V757048 = V729266 - 1. assign V720776 = V542040. assign V664503 = V193376 - 1. assign V127965 = V825283 - 1. assign V909426 = V325818. assign V147420 = V325818. assign V666316 = V333672 + 1. assign V852182 = 7. assign V099375 = V570448. assign V986238 = V623062. assign V623062 = V307346 - 1. assign V089264 = V909426. assign V918560 = V325818. assign V825283 = V163784 - 1. assign V250234 = V041018. assign V874234 = V416729 - 1. assign V258805 = V983885 + 1. assign V542040 = V464554 + 1. assign V212812 = V520730. assign V520730 = V759541 - 1. assign V163784 = V909426 + 1. assign V686624 = V742707 - 1. assign V307346 = V333672 - 1. assign V927052 = V684573. assign V951357 = V918560. assign V518031 = V089264. assign V735548 = V250234 + 1. assign V442395 = V351713 + 1. assign V684573 = V971424 + 1. assign V080607 = V333973 - 1. assign V329024 = V501866 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV852182 = 7;\n\nFrom these direct assignment(s), we have: \nV438648 = V852182 + 1 = 7 + 1 =8;\nNo other variables can be derived from V438648;\nNo other variables can be derived from V852182;\n\nNow we have done all the calculations. Derived variables are:\nV852182 = 7;\nV438648 = 8;\n\nNow we have finished this problem. ANSWER:\nV438648\n", "role": "assistant" } ]

[ "V935267" ]

[ { "content": "<context>\nassign V181880 = V248581 + 1. assign V492401 = V965326. assign V389156 = V523134 - 1. assign V407188 = V761510. assign V761510 = V519987 + 1. assign V248581 = V523134 + 1. assign V993769 = V336957 - 1. assign V255340 = V935267 + 1. assign V312796 = V523134. assign V067772 = V320293 - 1. assign V551839 = V898381 - 1. assign V602592 = V791190 + 1. assign V282980 = V602592 - 1. assign V831521 = V042000 - 1. assign V537636 = V933794 - 1. assign V210393 = V850116 - 1. assign V869293 = V817022 - 1. assign V681547 = V817022 - 1. assign V336957 = V169488 - 1. assign V867555 = V817022 - 1. assign V433934 = V933794 - 1. assign V299094 = V248581 - 1. assign V705695 = V407188 + 1. assign V388238 = V042000. assign V817022 = V399640. assign V635511 = V248581. assign V547795 = V506619 + 1. assign V433556 = V074451 - 1. assign V767357 = V399640 + 1. assign V711760 = V169488 - 1. assign V768578 = V433934 - 1. assign V259093 = V104495 - 1. assign V022441 = V320293 - 1. assign V935267 = 3. assign V958088 = V043476. assign V898381 = V399640 - 1. assign V181690 = V186949. assign V659581 = V506619 + 1. assign V457724 = V468227 - 1. assign V770994 = V042000 - 1. assign V506619 = V519987 - 1. assign V042000 = V399640 - 1. assign V212112 = V791190. assign V713935 = V006921 - 1. assign V901840 = V867555 - 1. assign V043476 = V869293 + 1. assign V169488 = V399640. assign V372813 = V898381. assign V472457 = V831521 - 1. assign V800813 = V336957. assign V737534 = V761510 + 1. assign V951657 = V407188. assign V310027 = V212112. assign V820626 = V248581 + 1. assign V239551 = V898381 - 1. assign V196852 = V043476 - 1. assign V978352 = V768578 + 1. assign V247014 = V670524. assign V936411 = V468227 + 1. assign V053985 = V169488 - 1. assign V791190 = V407188. assign V782733 = V101671 + 1. assign V977603 = V053985. assign V519987 = V399640 - 1. assign V933794 = V372813. assign V989090 = V869293 + 1. assign V610218 = V022441 - 1. assign V670524 = V869293 - 1. assign V905234 = V504449. assign V220030 = V817022 - 1. assign V965326 = V399640. assign V283018 = V537636 + 1. assign V504449 = V320293. assign V006921 = V869293 + 1. assign V767368 = V042000 + 1. assign V016990 = V850116. assign V468227 = V791190. assign V051509 = V978352. assign V320293 = V399640. assign V101671 = V767368. assign V186949 = V933794 - 1. assign V104495 = V767357 + 1. assign V074451 = V791190 - 1. assign V466061 = V800813 + 1. assign V850116 = V523134. assign V523134 = V220030 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V181880 = V248581 + 1. assign V492401 = V965326. assign V389156 = V523134 - 1. assign V407188 = V761510. assign V761510 = V519987 + 1. assign V248581 = V523134 + 1. assign V993769 = V336957 - 1. assign V255340 = V935267 + 1. assign V312796 = V523134. assign V067772 = V320293 - 1. assign V551839 = V898381 - 1. assign V602592 = V791190 + 1. assign V282980 = V602592 - 1. assign V831521 = V042000 - 1. assign V537636 = V933794 - 1. assign V210393 = V850116 - 1. assign V869293 = V817022 - 1. assign V681547 = V817022 - 1. assign V336957 = V169488 - 1. assign V867555 = V817022 - 1. assign V433934 = V933794 - 1. assign V299094 = V248581 - 1. assign V705695 = V407188 + 1. assign V388238 = V042000. assign V817022 = V399640. assign V635511 = V248581. assign V547795 = V506619 + 1. assign V433556 = V074451 - 1. assign V767357 = V399640 + 1. assign V711760 = V169488 - 1. assign V768578 = V433934 - 1. assign V259093 = V104495 - 1. assign V022441 = V320293 - 1. assign V935267 = 3. assign V958088 = V043476. assign V898381 = V399640 - 1. assign V181690 = V186949. assign V659581 = V506619 + 1. assign V457724 = V468227 - 1. assign V770994 = V042000 - 1. assign V506619 = V519987 - 1. assign V042000 = V399640 - 1. assign V212112 = V791190. assign V713935 = V006921 - 1. assign V901840 = V867555 - 1. assign V043476 = V869293 + 1. assign V169488 = V399640. assign V372813 = V898381. assign V472457 = V831521 - 1. assign V800813 = V336957. assign V737534 = V761510 + 1. assign V951657 = V407188. assign V310027 = V212112. assign V820626 = V248581 + 1. assign V239551 = V898381 - 1. assign V196852 = V043476 - 1. assign V978352 = V768578 + 1. assign V247014 = V670524. assign V936411 = V468227 + 1. assign V053985 = V169488 - 1. assign V791190 = V407188. assign V782733 = V101671 + 1. assign V977603 = V053985. assign V519987 = V399640 - 1. assign V933794 = V372813. assign V989090 = V869293 + 1. assign V610218 = V022441 - 1. assign V670524 = V869293 - 1. assign V905234 = V504449. assign V220030 = V817022 - 1. assign V965326 = V399640. assign V283018 = V537636 + 1. assign V504449 = V320293. assign V006921 = V869293 + 1. assign V767368 = V042000 + 1. assign V016990 = V850116. assign V468227 = V791190. assign V051509 = V978352. assign V320293 = V399640. assign V101671 = V767368. assign V186949 = V933794 - 1. assign V104495 = V767357 + 1. assign V074451 = V791190 - 1. assign V466061 = V800813 + 1. assign V850116 = V523134. assign V523134 = V220030 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV935267 = 3;\n\nFrom these direct assignment(s), we have: \nV255340 = V935267 + 1 = 3 + 1 =4;\nNo other variables can be derived from V255340;\nNo other variables can be derived from V935267;\n\nNow we have done all the calculations. Derived variables are:\nV935267 = 3;\nV255340 = 4;\n\nNow we have finished this problem. ANSWER:\nV935267\n", "role": "assistant" } ]

[ "V311747", "V702555" ]

[ { "content": "<context>\nassign V815444 = V179712. assign V008603 = V882600 + 1. assign V077080 = V171676. assign V346437 = V182683. assign V639532 = V416494 + 1. assign V179712 = V242938 + 1. assign V852307 = V632986. assign V453528 = V043666 + 1. assign V544982 = V998942 + 1. assign V449592 = V948899. assign V868057 = V008603 - 1. assign V151709 = V357590 - 1. assign V666730 = V815444 - 1. assign V282666 = V677672 - 1. assign V866058 = V171676. assign V242938 = V330679 + 1. assign V273635 = V001532 - 1. assign V580371 = V008603 + 1. assign V357590 = V882600 - 1. assign V160399 = V805551 + 1. assign V718453 = V582509 + 1. assign V998942 = V852307 + 1. assign V138580 = V544982 - 1. assign V478137 = V582509. assign V171676 = V765080. assign V312981 = V125769 + 1. assign V941498 = V453528 - 1. assign V330679 = V069566 - 1. assign V103195 = V151709. assign V977333 = V815444. assign V805551 = V622100 + 1. assign V550170 = V179712 - 1. assign V436195 = V998942 + 1. assign V882600 = V069566 + 1. assign V765080 = V330679 + 1. assign V570655 = V949598 - 1. assign V182683 = V184525 + 1. assign V759905 = V008603. assign V335639 = V436195. assign V383327 = V632986 - 1. assign V948899 = V008603. assign V125769 = V765080. assign V632986 = V033170 + 1. assign V333360 = V033170 - 1. assign V039739 = V357590 + 1. assign V015774 = V765080. assign V986385 = V948899 - 1. assign V038302 = V632986 - 1. assign V225696 = V839975 + 1. assign V538490 = V008603. assign V365145 = V008603 + 1. assign V259822 = V083662. assign V677672 = V179712. assign V062118 = V179712. assign V773629 = V882600. assign V839975 = V069566 + 1. assign V376459 = V312981. assign V877417 = V179712 + 1. assign V443965 = V866058. assign V490612 = V538490 + 1. assign V679483 = V718453 - 1. assign V807414 = V773629 - 1. assign V453053 = V151709 - 1. assign V004982 = V242938 - 1. assign V033170 = V069566. assign V393604 = V839975 + 1. assign V070676 = V184525 + 1. assign V702555 = V311747. assign V867604 = V632986 + 1. assign V582509 = V807414 - 1. assign V311747 = 10. assign V083662 = V882600 + 1. assign V295734 = V538490 - 1. assign V933014 = V179712. assign V605945 = V416494 - 1. assign V622100 = V038302 - 1. assign V598412 = V933014 + 1. assign V043666 = V069566 + 1. assign V872348 = V443965 - 1. assign V184525 = V015774 + 1. assign V416494 = V773629 + 1. assign V949598 = V478137 - 1. assign V086984 = V436195 + 1. assign V001532 = V867604 + 1. assign V158865 = V868057. assign V790919 = V580371 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V815444 = V179712. assign V008603 = V882600 + 1. assign V077080 = V171676. assign V346437 = V182683. assign V639532 = V416494 + 1. assign V179712 = V242938 + 1. assign V852307 = V632986. assign V453528 = V043666 + 1. assign V544982 = V998942 + 1. assign V449592 = V948899. assign V868057 = V008603 - 1. assign V151709 = V357590 - 1. assign V666730 = V815444 - 1. assign V282666 = V677672 - 1. assign V866058 = V171676. assign V242938 = V330679 + 1. assign V273635 = V001532 - 1. assign V580371 = V008603 + 1. assign V357590 = V882600 - 1. assign V160399 = V805551 + 1. assign V718453 = V582509 + 1. assign V998942 = V852307 + 1. assign V138580 = V544982 - 1. assign V478137 = V582509. assign V171676 = V765080. assign V312981 = V125769 + 1. assign V941498 = V453528 - 1. assign V330679 = V069566 - 1. assign V103195 = V151709. assign V977333 = V815444. assign V805551 = V622100 + 1. assign V550170 = V179712 - 1. assign V436195 = V998942 + 1. assign V882600 = V069566 + 1. assign V765080 = V330679 + 1. assign V570655 = V949598 - 1. assign V182683 = V184525 + 1. assign V759905 = V008603. assign V335639 = V436195. assign V383327 = V632986 - 1. assign V948899 = V008603. assign V125769 = V765080. assign V632986 = V033170 + 1. assign V333360 = V033170 - 1. assign V039739 = V357590 + 1. assign V015774 = V765080. assign V986385 = V948899 - 1. assign V038302 = V632986 - 1. assign V225696 = V839975 + 1. assign V538490 = V008603. assign V365145 = V008603 + 1. assign V259822 = V083662. assign V677672 = V179712. assign V062118 = V179712. assign V773629 = V882600. assign V839975 = V069566 + 1. assign V376459 = V312981. assign V877417 = V179712 + 1. assign V443965 = V866058. assign V490612 = V538490 + 1. assign V679483 = V718453 - 1. assign V807414 = V773629 - 1. assign V453053 = V151709 - 1. assign V004982 = V242938 - 1. assign V033170 = V069566. assign V393604 = V839975 + 1. assign V070676 = V184525 + 1. assign V702555 = V311747. assign V867604 = V632986 + 1. assign V582509 = V807414 - 1. assign V311747 = 10. assign V083662 = V882600 + 1. assign V295734 = V538490 - 1. assign V933014 = V179712. assign V605945 = V416494 - 1. assign V622100 = V038302 - 1. assign V598412 = V933014 + 1. assign V043666 = V069566 + 1. assign V872348 = V443965 - 1. assign V184525 = V015774 + 1. assign V416494 = V773629 + 1. assign V949598 = V478137 - 1. assign V086984 = V436195 + 1. assign V001532 = V867604 + 1. assign V158865 = V868057. assign V790919 = V580371 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV311747 = 10;\n\nFrom these direct assignment(s), we have: \nV702555 = V311747 = 10;\nNo other variables can be derived from V702555;\nNo other variables can be derived from V311747;\n\nNow we have done all the calculations. Derived variables are:\nV311747 = 10;\nV702555 = 10;\n\nNow we have finished this problem. ANSWER:\nV311747, V702555\n", "role": "assistant" } ]

[ "V636356" ]

[ { "content": "<context>\nassign V957854 = V780124 - 1. assign V656452 = V081722 + 1. assign V422748 = V657465 - 1. assign V657465 = V195489. assign V635458 = V976014. assign V402895 = V044692 + 1. assign V523898 = V833228. assign V014666 = V823329 - 1. assign V813334 = V965269 + 1. assign V822407 = V219563 - 1. assign V081722 = V836283. assign V615869 = V190690 - 1. assign V974838 = V040094. assign V590111 = V397306 + 1. assign V921826 = V460207 + 1. assign V338411 = V657465 + 1. assign V892720 = V658713 + 1. assign V949555 = V777074 + 1. assign V524626 = V836283. assign V124884 = V780124 + 1. assign V827022 = V124884 - 1. assign V283154 = V822407. assign V417087 = V509071 - 1. assign V561736 = V417087. assign V735302 = V780124 - 1. assign V964039 = V826528 + 1. assign V053369 = V497704 - 1. assign V084416 = V822407 - 1. assign V877787 = V497704 - 1. assign V669903 = V940916. assign V952480 = V957854 - 1. assign V647019 = V146571 - 1. assign V219563 = V777074. assign V227581 = V957854 + 1. assign V077301 = V200100 - 1. assign V115145 = V556041. assign V243543 = V925382. assign V626251 = V200100. assign V190690 = V658713. assign V777074 = V422064. assign V200100 = V957854 + 1. assign V708566 = V227581 - 1. assign V556041 = V647019 - 1. assign V818104 = V806749 - 1. assign V476961 = V081722. assign V674460 = V823329. assign V806749 = V813334 - 1. assign V306172 = V826528 - 1. assign V377381 = V124884 - 1. assign V146571 = V777074. assign V287993 = V509071. assign V639572 = V906806 - 1. assign V237437 = V497704 + 1. assign V658713 = V509071 - 1. assign V823329 = V077301 + 1. assign V497704 = V957854 - 1. assign V195489 = V422064. assign V397306 = V524626. assign V040094 = V921826. assign V006585 = V025907 - 1. assign V410434 = V636356 - 1. assign V736961 = V497704 + 1. assign V025907 = V949555. assign V940916 = V674460 + 1. assign V215295 = V561736. assign V840047 = V657465. assign V965269 = V077301. assign V405274 = V658713. assign V925382 = V906806 - 1. assign V918473 = V823329 - 1. assign V353526 = V422748. assign V976014 = V736961 + 1. assign V586169 = V195489 + 1. assign V833228 = V715260. assign V113435 = V823329. assign V010187 = V460207. assign V826528 = V524626 - 1. assign V715260 = V647019. assign V906806 = V497704 + 1. assign V636356 = 2. assign V640198 = V025907. assign V044692 = V940916 - 1. assign V422064 = V957854 - 1. assign V836283 = V780124 + 1. assign V460207 = V497704 - 1. assign V509071 = V836283 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V957854 = V780124 - 1. assign V656452 = V081722 + 1. assign V422748 = V657465 - 1. assign V657465 = V195489. assign V635458 = V976014. assign V402895 = V044692 + 1. assign V523898 = V833228. assign V014666 = V823329 - 1. assign V813334 = V965269 + 1. assign V822407 = V219563 - 1. assign V081722 = V836283. assign V615869 = V190690 - 1. assign V974838 = V040094. assign V590111 = V397306 + 1. assign V921826 = V460207 + 1. assign V338411 = V657465 + 1. assign V892720 = V658713 + 1. assign V949555 = V777074 + 1. assign V524626 = V836283. assign V124884 = V780124 + 1. assign V827022 = V124884 - 1. assign V283154 = V822407. assign V417087 = V509071 - 1. assign V561736 = V417087. assign V735302 = V780124 - 1. assign V964039 = V826528 + 1. assign V053369 = V497704 - 1. assign V084416 = V822407 - 1. assign V877787 = V497704 - 1. assign V669903 = V940916. assign V952480 = V957854 - 1. assign V647019 = V146571 - 1. assign V219563 = V777074. assign V227581 = V957854 + 1. assign V077301 = V200100 - 1. assign V115145 = V556041. assign V243543 = V925382. assign V626251 = V200100. assign V190690 = V658713. assign V777074 = V422064. assign V200100 = V957854 + 1. assign V708566 = V227581 - 1. assign V556041 = V647019 - 1. assign V818104 = V806749 - 1. assign V476961 = V081722. assign V674460 = V823329. assign V806749 = V813334 - 1. assign V306172 = V826528 - 1. assign V377381 = V124884 - 1. assign V146571 = V777074. assign V287993 = V509071. assign V639572 = V906806 - 1. assign V237437 = V497704 + 1. assign V658713 = V509071 - 1. assign V823329 = V077301 + 1. assign V497704 = V957854 - 1. assign V195489 = V422064. assign V397306 = V524626. assign V040094 = V921826. assign V006585 = V025907 - 1. assign V410434 = V636356 - 1. assign V736961 = V497704 + 1. assign V025907 = V949555. assign V940916 = V674460 + 1. assign V215295 = V561736. assign V840047 = V657465. assign V965269 = V077301. assign V405274 = V658713. assign V925382 = V906806 - 1. assign V918473 = V823329 - 1. assign V353526 = V422748. assign V976014 = V736961 + 1. assign V586169 = V195489 + 1. assign V833228 = V715260. assign V113435 = V823329. assign V010187 = V460207. assign V826528 = V524626 - 1. assign V715260 = V647019. assign V906806 = V497704 + 1. assign V636356 = 2. assign V640198 = V025907. assign V044692 = V940916 - 1. assign V422064 = V957854 - 1. assign V836283 = V780124 + 1. assign V460207 = V497704 - 1. assign V509071 = V836283 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV636356 = 2;\n\nFrom these direct assignment(s), we have: \nV410434 = V636356 - 1 = 2 - 1 =1;\nNo other variables can be derived from V410434;\nNo other variables can be derived from V636356;\n\nNow we have done all the calculations. Derived variables are:\nV636356 = 2;\nV410434 = 1;\n\nNow we have finished this problem. ANSWER:\nV636356\n", "role": "assistant" } ]

[ "V995991" ]

[ { "content": "<context>\nassign V102150 = V995991 - 1. assign V654363 = V483116 - 1. assign V745596 = V440421. assign V003002 = V070620 - 1. assign V417372 = V985527 - 1. assign V063812 = V819474. assign V806054 = V746113 - 1. assign V303243 = V058510 - 1. assign V483046 = V382305. assign V431210 = V284344 + 1. assign V186000 = V565402. assign V912607 = V257103. assign V565402 = V806054 - 1. assign V440787 = V096126 - 1. assign V985527 = V242666 + 1. assign V563100 = V805632. assign V947420 = V654363 + 1. assign V637835 = V912607. assign V592726 = V049700 - 1. assign V448644 = V746113. assign V469826 = V070620 - 1. assign V542688 = V155884. assign V150535 = V049700 - 1. assign V799544 = V367869 - 1. assign V510901 = V024060. assign V564131 = V528171 + 1. assign V528171 = V096126 + 1. assign V789636 = V076119. assign V382305 = V284344 + 1. assign V819474 = V388937 + 1. assign V805632 = V267480 + 1. assign V284344 = V367869. assign V553721 = V912607. assign V342136 = V819474 + 1. assign V648792 = V367869. assign V061407 = V096126 - 1. assign V049700 = V294213 + 1. assign V905993 = V710038 - 1. assign V679255 = V294213 + 1. assign V155884 = V805632 - 1. assign V024060 = V637835 + 1. assign V766677 = V003002. assign V035104 = V654363 - 1. assign V242666 = V003002 - 1. assign V440421 = V905993 + 1. assign V070620 = V746113. assign V213629 = V805632. assign V948506 = V654363. assign V058510 = V819474 - 1. assign V825520 = V094239 - 1. assign V601953 = V799544. assign V483116 = V819474 + 1. assign V995991 = 5. assign V452052 = V431210. assign V809596 = V257103. assign V798320 = V752283 + 1. assign V827182 = V648792 + 1. assign V367869 = V294213 + 1. assign V779585 = V806054. assign V032464 = V710038 - 1. assign V267480 = V746113 + 1. assign V076119 = V070620. assign V096126 = V074848 + 1. assign V074848 = V779585. assign V147300 = V542688 + 1. assign V592846 = V553721 + 1. assign V094239 = V267480 + 1. assign V091996 = V798320 + 1. assign V710038 = V746113 + 1. assign V294213 = V746113 - 1. assign V197368 = V590509. assign V017980 = V003002 + 1. assign V968006 = V710038. assign V500698 = V074848 - 1. assign V675648 = V710038. assign V596474 = V500698. assign V510475 = V076119 - 1. assign V645583 = V819474 - 1. assign V850702 = V745596 - 1. assign V388937 = V070620 + 1. assign V752283 = V388937 + 1. assign V915310 = V294213. assign V210392 = V590509 - 1. assign V257103 = V746113. assign V590509 = V213629 + 1. assign V266488 = V094239 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V102150 = V995991 - 1. assign V654363 = V483116 - 1. assign V745596 = V440421. assign V003002 = V070620 - 1. assign V417372 = V985527 - 1. assign V063812 = V819474. assign V806054 = V746113 - 1. assign V303243 = V058510 - 1. assign V483046 = V382305. assign V431210 = V284344 + 1. assign V186000 = V565402. assign V912607 = V257103. assign V565402 = V806054 - 1. assign V440787 = V096126 - 1. assign V985527 = V242666 + 1. assign V563100 = V805632. assign V947420 = V654363 + 1. assign V637835 = V912607. assign V592726 = V049700 - 1. assign V448644 = V746113. assign V469826 = V070620 - 1. assign V542688 = V155884. assign V150535 = V049700 - 1. assign V799544 = V367869 - 1. assign V510901 = V024060. assign V564131 = V528171 + 1. assign V528171 = V096126 + 1. assign V789636 = V076119. assign V382305 = V284344 + 1. assign V819474 = V388937 + 1. assign V805632 = V267480 + 1. assign V284344 = V367869. assign V553721 = V912607. assign V342136 = V819474 + 1. assign V648792 = V367869. assign V061407 = V096126 - 1. assign V049700 = V294213 + 1. assign V905993 = V710038 - 1. assign V679255 = V294213 + 1. assign V155884 = V805632 - 1. assign V024060 = V637835 + 1. assign V766677 = V003002. assign V035104 = V654363 - 1. assign V242666 = V003002 - 1. assign V440421 = V905993 + 1. assign V070620 = V746113. assign V213629 = V805632. assign V948506 = V654363. assign V058510 = V819474 - 1. assign V825520 = V094239 - 1. assign V601953 = V799544. assign V483116 = V819474 + 1. assign V995991 = 5. assign V452052 = V431210. assign V809596 = V257103. assign V798320 = V752283 + 1. assign V827182 = V648792 + 1. assign V367869 = V294213 + 1. assign V779585 = V806054. assign V032464 = V710038 - 1. assign V267480 = V746113 + 1. assign V076119 = V070620. assign V096126 = V074848 + 1. assign V074848 = V779585. assign V147300 = V542688 + 1. assign V592846 = V553721 + 1. assign V094239 = V267480 + 1. assign V091996 = V798320 + 1. assign V710038 = V746113 + 1. assign V294213 = V746113 - 1. assign V197368 = V590509. assign V017980 = V003002 + 1. assign V968006 = V710038. assign V500698 = V074848 - 1. assign V675648 = V710038. assign V596474 = V500698. assign V510475 = V076119 - 1. assign V645583 = V819474 - 1. assign V850702 = V745596 - 1. assign V388937 = V070620 + 1. assign V752283 = V388937 + 1. assign V915310 = V294213. assign V210392 = V590509 - 1. assign V257103 = V746113. assign V590509 = V213629 + 1. assign V266488 = V094239 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV995991 = 5;\n\nFrom these direct assignment(s), we have: \nV102150 = V995991 - 1 = 5 - 1 =4;\nNo other variables can be derived from V102150;\nNo other variables can be derived from V995991;\n\nNow we have done all the calculations. Derived variables are:\nV995991 = 5;\nV102150 = 4;\n\nNow we have finished this problem. ANSWER:\nV995991\n", "role": "assistant" } ]

[ "V983316", "V383581" ]

[ { "content": "<context>\nassign V034286 = V225484. assign V390656 = V245856 - 1. assign V007844 = V848210. assign V795879 = V737488 - 1. assign V681277 = V986963. assign V231256 = V666611 + 1. assign V590069 = V312391 - 1. assign V090848 = V322655. assign V993742 = V426870. assign V666611 = V577638 - 1. assign V383581 = V983316. assign V877347 = V090848 + 1. assign V709622 = V993742. assign V293018 = V066523 - 1. assign V007007 = V992128 - 1. assign V912698 = V681277. assign V348151 = V427927 + 1. assign V971021 = V066523. assign V090478 = V427927. assign V848210 = V986963 + 1. assign V466056 = V416547 - 1. assign V527391 = V325353 + 1. assign V325353 = V090478 + 1. assign V986963 = V971021 - 1. assign V391179 = V912698 - 1. assign V404527 = V416547. assign V163470 = V066523 + 1. assign V545864 = V466056 + 1. assign V312391 = V872974 + 1. assign V067594 = V090848 - 1. assign V847949 = V971021 + 1. assign V872974 = V422940. assign V673421 = V095041. assign V494534 = V293018. assign V032161 = V921254 - 1. assign V469700 = V971021. assign V034339 = V005661. assign V840786 = V426870 - 1. assign V068131 = V034286 + 1. assign V093151 = V032161 - 1. assign V095041 = V032161 - 1. assign V261562 = V588352 - 1. assign V805448 = V051221. assign V427927 = V426870 + 1. assign V543621 = V297250. assign V066523 = V921254 + 1. assign V983316 = 3. assign V921254 = V466056. assign V758018 = V545864 + 1. assign V838932 = V261562 + 1. assign V799811 = V971021 - 1. assign V686639 = V799811. assign V892850 = V363580. assign V730836 = V197909. assign V422940 = V545864. assign V363580 = V672852 + 1. assign V577638 = V322655 + 1. assign V161591 = V032161 + 1. assign V165255 = V730836 - 1. assign V672852 = V416547 - 1. assign V426870 = V779926 + 1. assign V245856 = V066523 + 1. assign V992128 = V057046 + 1. assign V747104 = V921254 - 1. assign V197909 = V872974. assign V737488 = V466056. assign V322655 = V066523 - 1. assign V541440 = V799811 + 1. assign V779926 = V872974. assign V051221 = V986963. assign V469415 = V730836 + 1. assign V103010 = V737488 + 1. assign V005661 = V971021 - 1. assign V225484 = V545864. assign V273614 = V312391 - 1. assign V057046 = V872974 + 1. assign V649859 = V758018. assign V555353 = V847949. assign V399780 = V067594 - 1. assign V139469 = V225484 - 1. assign V319960 = V779926 + 1. assign V588352 = V681277. assign V470176 = V057046 - 1. assign V297250 = V847949 - 1. assign V517534 = V057046 - 1. assign V403201 = V163470.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V034286 = V225484. assign V390656 = V245856 - 1. assign V007844 = V848210. assign V795879 = V737488 - 1. assign V681277 = V986963. assign V231256 = V666611 + 1. assign V590069 = V312391 - 1. assign V090848 = V322655. assign V993742 = V426870. assign V666611 = V577638 - 1. assign V383581 = V983316. assign V877347 = V090848 + 1. assign V709622 = V993742. assign V293018 = V066523 - 1. assign V007007 = V992128 - 1. assign V912698 = V681277. assign V348151 = V427927 + 1. assign V971021 = V066523. assign V090478 = V427927. assign V848210 = V986963 + 1. assign V466056 = V416547 - 1. assign V527391 = V325353 + 1. assign V325353 = V090478 + 1. assign V986963 = V971021 - 1. assign V391179 = V912698 - 1. assign V404527 = V416547. assign V163470 = V066523 + 1. assign V545864 = V466056 + 1. assign V312391 = V872974 + 1. assign V067594 = V090848 - 1. assign V847949 = V971021 + 1. assign V872974 = V422940. assign V673421 = V095041. assign V494534 = V293018. assign V032161 = V921254 - 1. assign V469700 = V971021. assign V034339 = V005661. assign V840786 = V426870 - 1. assign V068131 = V034286 + 1. assign V093151 = V032161 - 1. assign V095041 = V032161 - 1. assign V261562 = V588352 - 1. assign V805448 = V051221. assign V427927 = V426870 + 1. assign V543621 = V297250. assign V066523 = V921254 + 1. assign V983316 = 3. assign V921254 = V466056. assign V758018 = V545864 + 1. assign V838932 = V261562 + 1. assign V799811 = V971021 - 1. assign V686639 = V799811. assign V892850 = V363580. assign V730836 = V197909. assign V422940 = V545864. assign V363580 = V672852 + 1. assign V577638 = V322655 + 1. assign V161591 = V032161 + 1. assign V165255 = V730836 - 1. assign V672852 = V416547 - 1. assign V426870 = V779926 + 1. assign V245856 = V066523 + 1. assign V992128 = V057046 + 1. assign V747104 = V921254 - 1. assign V197909 = V872974. assign V737488 = V466056. assign V322655 = V066523 - 1. assign V541440 = V799811 + 1. assign V779926 = V872974. assign V051221 = V986963. assign V469415 = V730836 + 1. assign V103010 = V737488 + 1. assign V005661 = V971021 - 1. assign V225484 = V545864. assign V273614 = V312391 - 1. assign V057046 = V872974 + 1. assign V649859 = V758018. assign V555353 = V847949. assign V399780 = V067594 - 1. assign V139469 = V225484 - 1. assign V319960 = V779926 + 1. assign V588352 = V681277. assign V470176 = V057046 - 1. assign V297250 = V847949 - 1. assign V517534 = V057046 - 1. assign V403201 = V163470.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV983316 = 3;\n\nFrom these direct assignment(s), we have: \nV383581 = V983316 = 3;\nNo other variables can be derived from V383581;\nNo other variables can be derived from V983316;\n\nNow we have done all the calculations. Derived variables are:\nV983316 = 3;\nV383581 = 3;\n\nNow we have finished this problem. ANSWER:\nV983316, V383581\n", "role": "assistant" } ]

[ "V024366" ]

[ { "content": "<context>\nassign V911014 = V755523 + 1. assign V655186 = V755523 + 1. assign V677775 = V524967 - 1. assign V657698 = V413529 + 1. assign V212345 = V364603 - 1. assign V624744 = V709900 + 1. assign V225061 = V364603. assign V709900 = V107326. assign V205767 = V410672. assign V364603 = V413529 + 1. assign V442571 = V413529 - 1. assign V536265 = V414255 + 1. assign V148914 = V037526 + 1. assign V137765 = V076094 - 1. assign V444924 = V474957 + 1. assign V374651 = V653866 - 1. assign V113693 = V520021 - 1. assign V144724 = V413529. assign V653866 = V229637 + 1. assign V662020 = V125997 + 1. assign V237140 = V474957. assign V577483 = V762734 - 1. assign V163042 = V536265 - 1. assign V319017 = V295743 + 1. assign V755523 = V884484. assign V314222 = V742604 + 1. assign V134689 = V493525. assign V212143 = V144724. assign V885794 = V144724 - 1. assign V125997 = V274112 + 1. assign V167747 = V407620. assign V884484 = V413529 + 1. assign V616116 = V493525 - 1. assign V274112 = V467567 - 1. assign V754397 = V762734 - 1. assign V493525 = V224389 - 1. assign V572144 = V212143. assign V753056 = V296219 - 1. assign V092398 = V762734 - 1. assign V407620 = V657698 + 1. assign V067421 = V212345. assign V229637 = V884484 + 1. assign V520021 = V085164 + 1. assign V429137 = 2. assign V474957 = V212345 - 1. assign V883306 = V873438. assign V389104 = V274112 + 1. assign V296219 = V076094 + 1. assign V037526 = V677775. assign V295743 = V762734. assign V287461 = V762734. assign V583683 = V413529 + 1. assign V737340 = V664568 - 1. assign V414255 = V398489. assign V873438 = V467567 - 1. assign V051684 = V932798 - 1. assign V024366 = V429137 + 1. assign V742604 = V524967 + 1. assign V281322 = V148914 - 1. assign V590862 = V657698 - 1. assign V651932 = V229637 + 1. assign V467567 = V076094. assign V932798 = V884484 - 1. assign V246657 = V616116. assign V524967 = V474957 + 1. assign V224389 = V229637. assign V500100 = V616116 + 1. assign V925313 = V873438. assign V762734 = V144724. assign V596314 = V932798. assign V392106 = V085164 - 1. assign V783415 = V868040 + 1. assign V788204 = V414255 - 1. assign V664568 = V362597. assign V107326 = V229637. assign V085164 = V755523 - 1. assign V398489 = V868040. assign V266792 = V212143 + 1. assign V336088 = V930720 + 1. assign V896525 = V577483 + 1. assign V114179 = V051684 + 1. assign V868040 = V212345 + 1. assign V362597 = V868040 + 1. assign V410672 = V596314 - 1. assign V930720 = V107326. assign V076094 = V413529 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V911014 = V755523 + 1. assign V655186 = V755523 + 1. assign V677775 = V524967 - 1. assign V657698 = V413529 + 1. assign V212345 = V364603 - 1. assign V624744 = V709900 + 1. assign V225061 = V364603. assign V709900 = V107326. assign V205767 = V410672. assign V364603 = V413529 + 1. assign V442571 = V413529 - 1. assign V536265 = V414255 + 1. assign V148914 = V037526 + 1. assign V137765 = V076094 - 1. assign V444924 = V474957 + 1. assign V374651 = V653866 - 1. assign V113693 = V520021 - 1. assign V144724 = V413529. assign V653866 = V229637 + 1. assign V662020 = V125997 + 1. assign V237140 = V474957. assign V577483 = V762734 - 1. assign V163042 = V536265 - 1. assign V319017 = V295743 + 1. assign V755523 = V884484. assign V314222 = V742604 + 1. assign V134689 = V493525. assign V212143 = V144724. assign V885794 = V144724 - 1. assign V125997 = V274112 + 1. assign V167747 = V407620. assign V884484 = V413529 + 1. assign V616116 = V493525 - 1. assign V274112 = V467567 - 1. assign V754397 = V762734 - 1. assign V493525 = V224389 - 1. assign V572144 = V212143. assign V753056 = V296219 - 1. assign V092398 = V762734 - 1. assign V407620 = V657698 + 1. assign V067421 = V212345. assign V229637 = V884484 + 1. assign V520021 = V085164 + 1. assign V429137 = 2. assign V474957 = V212345 - 1. assign V883306 = V873438. assign V389104 = V274112 + 1. assign V296219 = V076094 + 1. assign V037526 = V677775. assign V295743 = V762734. assign V287461 = V762734. assign V583683 = V413529 + 1. assign V737340 = V664568 - 1. assign V414255 = V398489. assign V873438 = V467567 - 1. assign V051684 = V932798 - 1. assign V024366 = V429137 + 1. assign V742604 = V524967 + 1. assign V281322 = V148914 - 1. assign V590862 = V657698 - 1. assign V651932 = V229637 + 1. assign V467567 = V076094. assign V932798 = V884484 - 1. assign V246657 = V616116. assign V524967 = V474957 + 1. assign V224389 = V229637. assign V500100 = V616116 + 1. assign V925313 = V873438. assign V762734 = V144724. assign V596314 = V932798. assign V392106 = V085164 - 1. assign V783415 = V868040 + 1. assign V788204 = V414255 - 1. assign V664568 = V362597. assign V107326 = V229637. assign V085164 = V755523 - 1. assign V398489 = V868040. assign V266792 = V212143 + 1. assign V336088 = V930720 + 1. assign V896525 = V577483 + 1. assign V114179 = V051684 + 1. assign V868040 = V212345 + 1. assign V362597 = V868040 + 1. assign V410672 = V596314 - 1. assign V930720 = V107326. assign V076094 = V413529 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV429137 = 2;\n\nFrom these direct assignment(s), we have: \nV024366 = V429137 + 1 = 2 + 1 =3;\nNo other variables can be derived from V024366;\nNo other variables can be derived from V429137;\n\nNow we have done all the calculations. Derived variables are:\nV429137 = 2;\nV024366 = 3;\n\nNow we have finished this problem. ANSWER:\nV024366\n", "role": "assistant" } ]

[ "V552022" ]

[ { "content": "<context>\nassign V386154 = V868927 + 1. assign V251339 = V430514 + 1. assign V907305 = V130546 - 1. assign V202587 = V755312 + 1. assign V351980 = V352431 - 1. assign V359361 = V755312. assign V552022 = 6. assign V280220 = V924567 + 1. assign V695986 = V076312 - 1. assign V886495 = V169539 - 1. assign V325136 = V076312 - 1. assign V850261 = V771217 + 1. assign V868927 = V731617 + 1. assign V571271 = V309796 + 1. assign V130546 = V936096 - 1. assign V223123 = V644555. assign V755312 = V277703. assign V895420 = V974188. assign V026819 = V731617. assign V508217 = V974188 - 1. assign V399928 = V731617 + 1. assign V050147 = V669207 + 1. assign V737500 = V936096 + 1. assign V694522 = V223123. assign V095765 = V163925 + 1. assign V169539 = V771217 - 1. assign V536524 = V771217 + 1. assign V472318 = V886495 + 1. assign V722551 = V277703 - 1. assign V209393 = V202587. assign V277703 = V169539 + 1. assign V583105 = V924567 + 1. assign V218959 = V868927 + 1. assign V201824 = V755312 + 1. assign V778403 = V924567 - 1. assign V282491 = V201824 + 1. assign V708152 = V536524. assign V301498 = V755312 - 1. assign V426311 = V026819 + 1. assign V303155 = V130546 + 1. assign V898508 = V583105 - 1. assign V215281 = V251339. assign V978358 = V026819 - 1. assign V965172 = V731617 - 1. assign V210794 = V552022 - 1. assign V173172 = V103713 - 1. assign V669207 = V169539. assign V731617 = V924567. assign V163925 = V722551 + 1. assign V322619 = V536524. assign V835664 = V895420 - 1. assign V142560 = V835664 + 1. assign V430514 = V169539 + 1. assign V117244 = V386154. assign V652958 = V858311. assign V376407 = V218959. assign V237815 = V277703. assign V076312 = V731617 - 1. assign V670378 = V583105 - 1. assign V644555 = V731617. assign V309796 = V755312. assign V095753 = V974188 + 1. assign V829044 = V352431 + 1. assign V880164 = V695986. assign V286252 = V386154 + 1. assign V313108 = V771217 - 1. assign V577747 = V322619 + 1. assign V265030 = V669207 - 1. assign V820781 = V322619 - 1. assign V986383 = V202587 - 1. assign V981465 = V359361 - 1. assign V797876 = V028242. assign V546257 = V936096 - 1. assign V103713 = V351980 - 1. assign V858311 = V868927 + 1. assign V149272 = V850261. assign V435942 = V426311 + 1. assign V479203 = V352431 - 1. assign V352431 = V130546. assign V028242 = V476924. assign V476924 = V304900 + 1. assign V304900 = V771217 + 1. assign V269910 = V536524 - 1. assign V771217 = V924567. assign V936096 = V644555. assign V974188 = V202587 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V386154 = V868927 + 1. assign V251339 = V430514 + 1. assign V907305 = V130546 - 1. assign V202587 = V755312 + 1. assign V351980 = V352431 - 1. assign V359361 = V755312. assign V552022 = 6. assign V280220 = V924567 + 1. assign V695986 = V076312 - 1. assign V886495 = V169539 - 1. assign V325136 = V076312 - 1. assign V850261 = V771217 + 1. assign V868927 = V731617 + 1. assign V571271 = V309796 + 1. assign V130546 = V936096 - 1. assign V223123 = V644555. assign V755312 = V277703. assign V895420 = V974188. assign V026819 = V731617. assign V508217 = V974188 - 1. assign V399928 = V731617 + 1. assign V050147 = V669207 + 1. assign V737500 = V936096 + 1. assign V694522 = V223123. assign V095765 = V163925 + 1. assign V169539 = V771217 - 1. assign V536524 = V771217 + 1. assign V472318 = V886495 + 1. assign V722551 = V277703 - 1. assign V209393 = V202587. assign V277703 = V169539 + 1. assign V583105 = V924567 + 1. assign V218959 = V868927 + 1. assign V201824 = V755312 + 1. assign V778403 = V924567 - 1. assign V282491 = V201824 + 1. assign V708152 = V536524. assign V301498 = V755312 - 1. assign V426311 = V026819 + 1. assign V303155 = V130546 + 1. assign V898508 = V583105 - 1. assign V215281 = V251339. assign V978358 = V026819 - 1. assign V965172 = V731617 - 1. assign V210794 = V552022 - 1. assign V173172 = V103713 - 1. assign V669207 = V169539. assign V731617 = V924567. assign V163925 = V722551 + 1. assign V322619 = V536524. assign V835664 = V895420 - 1. assign V142560 = V835664 + 1. assign V430514 = V169539 + 1. assign V117244 = V386154. assign V652958 = V858311. assign V376407 = V218959. assign V237815 = V277703. assign V076312 = V731617 - 1. assign V670378 = V583105 - 1. assign V644555 = V731617. assign V309796 = V755312. assign V095753 = V974188 + 1. assign V829044 = V352431 + 1. assign V880164 = V695986. assign V286252 = V386154 + 1. assign V313108 = V771217 - 1. assign V577747 = V322619 + 1. assign V265030 = V669207 - 1. assign V820781 = V322619 - 1. assign V986383 = V202587 - 1. assign V981465 = V359361 - 1. assign V797876 = V028242. assign V546257 = V936096 - 1. assign V103713 = V351980 - 1. assign V858311 = V868927 + 1. assign V149272 = V850261. assign V435942 = V426311 + 1. assign V479203 = V352431 - 1. assign V352431 = V130546. assign V028242 = V476924. assign V476924 = V304900 + 1. assign V304900 = V771217 + 1. assign V269910 = V536524 - 1. assign V771217 = V924567. assign V936096 = V644555. assign V974188 = V202587 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV552022 = 6;\n\nFrom these direct assignment(s), we have: \nV210794 = V552022 - 1 = 6 - 1 =5;\nNo other variables can be derived from V210794;\nNo other variables can be derived from V552022;\n\nNow we have done all the calculations. Derived variables are:\nV552022 = 6;\nV210794 = 5;\n\nNow we have finished this problem. ANSWER:\nV552022\n", "role": "assistant" } ]

[ "V134261", "V255837" ]

[ { "content": "<context>\nassign V077303 = V970197. assign V655250 = V284892 + 1. assign V866374 = V397300 - 1. assign V887015 = V393317 - 1. assign V852665 = V629939 + 1. assign V393317 = V302108 + 1. assign V672086 = V424052 - 1. assign V831470 = V717666 + 1. assign V529666 = V187523 - 1. assign V411058 = V810166 + 1. assign V591948 = V470767. assign V011629 = V919412. assign V424052 = V187523. assign V186422 = V453426. assign V264204 = V970197 + 1. assign V762092 = V717666 - 1. assign V943792 = V629939. assign V835886 = V181907 + 1. assign V050150 = V990973 + 1. assign V302108 = V411058. assign V918339 = V249841. assign V781015 = V336367 + 1. assign V591666 = V780009 + 1. assign V554438 = V529666 + 1. assign V305265 = V453426. assign V778099 = V852665 + 1. assign V826814 = V994649 + 1. assign V089278 = V393317. assign V397300 = V142311. assign V629939 = V522604. assign V453426 = V810166 + 1. assign V938386 = V591948. assign V398313 = V910076 + 1. assign V284892 = V393317 - 1. assign V122860 = V717666 - 1. assign V543357 = V411058. assign V671678 = V826814. assign V032847 = V990973 - 1. assign V672556 = V539186 + 1. assign V990973 = V762092 - 1. assign V910076 = V717666 - 1. assign V992412 = V556193 - 1. assign V073960 = V994649 + 1. assign V848750 = V397300 + 1. assign V539186 = V762092 - 1. assign V567502 = V948069 - 1. assign V142311 = V539186 - 1. assign V780009 = V142311 - 1. assign V679974 = V747664 + 1. assign V409413 = V539186 - 1. assign V095241 = V397300 - 1. assign V948069 = V302108 + 1. assign V153302 = V249841. assign V105471 = V671960 - 1. assign V747664 = V077303 + 1. assign V671960 = V780009 + 1. assign V756221 = V948069 - 1. assign V163854 = V186422 - 1. assign V336367 = V186422 + 1. assign V522604 = V153302 + 1. assign V970197 = V142311 - 1. assign V661355 = V453426. assign V556193 = V529666 - 1. assign V792513 = V671960. assign V180754 = V050150. assign V134261 = 5. assign V470767 = V411058 - 1. assign V271359 = V591948. assign V287469 = V409413. assign V302820 = V284892 + 1. assign V994649 = V948069 - 1. assign V109384 = V948069. assign V919412 = V302820. assign V181907 = V717666 - 1. assign V028587 = V554438. assign V610114 = V095241 + 1. assign V187523 = V539186 + 1. assign V717666 = V810166 - 1. assign V475696 = V848750. assign V658628 = V396664 + 1. assign V868392 = V186422. assign V255837 = V134261. assign V396664 = V470767 - 1. assign V021498 = V717666 - 1. assign V789410 = V302108 + 1. assign V249841 = V990973.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V077303 = V970197. assign V655250 = V284892 + 1. assign V866374 = V397300 - 1. assign V887015 = V393317 - 1. assign V852665 = V629939 + 1. assign V393317 = V302108 + 1. assign V672086 = V424052 - 1. assign V831470 = V717666 + 1. assign V529666 = V187523 - 1. assign V411058 = V810166 + 1. assign V591948 = V470767. assign V011629 = V919412. assign V424052 = V187523. assign V186422 = V453426. assign V264204 = V970197 + 1. assign V762092 = V717666 - 1. assign V943792 = V629939. assign V835886 = V181907 + 1. assign V050150 = V990973 + 1. assign V302108 = V411058. assign V918339 = V249841. assign V781015 = V336367 + 1. assign V591666 = V780009 + 1. assign V554438 = V529666 + 1. assign V305265 = V453426. assign V778099 = V852665 + 1. assign V826814 = V994649 + 1. assign V089278 = V393317. assign V397300 = V142311. assign V629939 = V522604. assign V453426 = V810166 + 1. assign V938386 = V591948. assign V398313 = V910076 + 1. assign V284892 = V393317 - 1. assign V122860 = V717666 - 1. assign V543357 = V411058. assign V671678 = V826814. assign V032847 = V990973 - 1. assign V672556 = V539186 + 1. assign V990973 = V762092 - 1. assign V910076 = V717666 - 1. assign V992412 = V556193 - 1. assign V073960 = V994649 + 1. assign V848750 = V397300 + 1. assign V539186 = V762092 - 1. assign V567502 = V948069 - 1. assign V142311 = V539186 - 1. assign V780009 = V142311 - 1. assign V679974 = V747664 + 1. assign V409413 = V539186 - 1. assign V095241 = V397300 - 1. assign V948069 = V302108 + 1. assign V153302 = V249841. assign V105471 = V671960 - 1. assign V747664 = V077303 + 1. assign V671960 = V780009 + 1. assign V756221 = V948069 - 1. assign V163854 = V186422 - 1. assign V336367 = V186422 + 1. assign V522604 = V153302 + 1. assign V970197 = V142311 - 1. assign V661355 = V453426. assign V556193 = V529666 - 1. assign V792513 = V671960. assign V180754 = V050150. assign V134261 = 5. assign V470767 = V411058 - 1. assign V271359 = V591948. assign V287469 = V409413. assign V302820 = V284892 + 1. assign V994649 = V948069 - 1. assign V109384 = V948069. assign V919412 = V302820. assign V181907 = V717666 - 1. assign V028587 = V554438. assign V610114 = V095241 + 1. assign V187523 = V539186 + 1. assign V717666 = V810166 - 1. assign V475696 = V848750. assign V658628 = V396664 + 1. assign V868392 = V186422. assign V255837 = V134261. assign V396664 = V470767 - 1. assign V021498 = V717666 - 1. assign V789410 = V302108 + 1. assign V249841 = V990973.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV134261 = 5;\n\nFrom these direct assignment(s), we have: \nV255837 = V134261 = 5;\nNo other variables can be derived from V255837;\nNo other variables can be derived from V134261;\n\nNow we have done all the calculations. Derived variables are:\nV134261 = 5;\nV255837 = 5;\n\nNow we have finished this problem. ANSWER:\nV134261, V255837\n", "role": "assistant" } ]

[ "V255141" ]

[ { "content": "<context>\nassign V022745 = V935458 + 1. assign V997311 = V747417 + 1. assign V023163 = V826371. assign V880705 = V326913 + 1. assign V462184 = V880177 - 1. assign V935458 = V214379 + 1. assign V091365 = V915823 - 1. assign V555431 = V880177. assign V691938 = V915823. assign V915006 = V693162. assign V409497 = V595898 + 1. assign V255141 = V023367 - 1. assign V085877 = V915823 - 1. assign V599913 = V470686 - 1. assign V531640 = V827283 + 1. assign V462681 = V135053 + 1. assign V414247 = V792346 + 1. assign V860975 = V934214 + 1. assign V319054 = V792346. assign V972510 = V198669 - 1. assign V773006 = V802104. assign V213226 = V056453. assign V057114 = V246277. assign V826371 = V934214 + 1. assign V135053 = V792346. assign V234667 = V880705. assign V126437 = V860975 + 1. assign V822494 = V462184. assign V172137 = V079215 - 1. assign V041122 = V449460. assign V262767 = V056453. assign V381933 = V091365 + 1. assign V079438 = V880705. assign V962493 = V792346. assign V449460 = V073567 - 1. assign V773391 = V104413 - 1. assign V079215 = V158473 - 1. assign V560722 = V198669 + 1. assign V346168 = V414247 + 1. assign V915823 = V880177. assign V470686 = V085877. assign V073567 = V595898. assign V198669 = V213226 + 1. assign V246277 = V387367 - 1. assign V747417 = V860975 + 1. assign V259123 = V860975. assign V564595 = V462681 + 1. assign V827283 = V915823 - 1. assign V058129 = V915823 - 1. assign V299239 = V073567 + 1. assign V321931 = V693162 + 1. assign V056453 = V880177 - 1. assign V214379 = V915823 - 1. assign V054954 = V449460 - 1. assign V460925 = V915823 - 1. assign V527563 = V997311. assign V690660 = V158473 - 1. assign V637807 = V259123 + 1. assign V792346 = V213226 + 1. assign V023367 = 4. assign V880177 = V860975 + 1. assign V802104 = V326913. assign V669797 = V904154 + 1. assign V693162 = V555431. assign V465450 = V409497 - 1. assign V774540 = V079438 - 1. assign V393720 = V198669. assign V904154 = V079215. assign V391604 = V972510 - 1. assign V595898 = V860975 - 1. assign V158473 = V997311 + 1. assign V598486 = V934214 + 1. assign V326913 = V213226 - 1. assign V195784 = V449460. assign V579041 = V773391. assign V081793 = V172137 + 1. assign V071352 = V079438 - 1. assign V545702 = V637807. assign V104413 = V595898 + 1. assign V671879 = V465450 + 1. assign V086920 = V135053 + 1. assign V387367 = V079215 - 1. assign V343175 = V056453 + 1. assign V213334 = V460925 - 1. assign V752411 = V387367 + 1. assign V995192 = V460925.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V022745 = V935458 + 1. assign V997311 = V747417 + 1. assign V023163 = V826371. assign V880705 = V326913 + 1. assign V462184 = V880177 - 1. assign V935458 = V214379 + 1. assign V091365 = V915823 - 1. assign V555431 = V880177. assign V691938 = V915823. assign V915006 = V693162. assign V409497 = V595898 + 1. assign V255141 = V023367 - 1. assign V085877 = V915823 - 1. assign V599913 = V470686 - 1. assign V531640 = V827283 + 1. assign V462681 = V135053 + 1. assign V414247 = V792346 + 1. assign V860975 = V934214 + 1. assign V319054 = V792346. assign V972510 = V198669 - 1. assign V773006 = V802104. assign V213226 = V056453. assign V057114 = V246277. assign V826371 = V934214 + 1. assign V135053 = V792346. assign V234667 = V880705. assign V126437 = V860975 + 1. assign V822494 = V462184. assign V172137 = V079215 - 1. assign V041122 = V449460. assign V262767 = V056453. assign V381933 = V091365 + 1. assign V079438 = V880705. assign V962493 = V792346. assign V449460 = V073567 - 1. assign V773391 = V104413 - 1. assign V079215 = V158473 - 1. assign V560722 = V198669 + 1. assign V346168 = V414247 + 1. assign V915823 = V880177. assign V470686 = V085877. assign V073567 = V595898. assign V198669 = V213226 + 1. assign V246277 = V387367 - 1. assign V747417 = V860975 + 1. assign V259123 = V860975. assign V564595 = V462681 + 1. assign V827283 = V915823 - 1. assign V058129 = V915823 - 1. assign V299239 = V073567 + 1. assign V321931 = V693162 + 1. assign V056453 = V880177 - 1. assign V214379 = V915823 - 1. assign V054954 = V449460 - 1. assign V460925 = V915823 - 1. assign V527563 = V997311. assign V690660 = V158473 - 1. assign V637807 = V259123 + 1. assign V792346 = V213226 + 1. assign V023367 = 4. assign V880177 = V860975 + 1. assign V802104 = V326913. assign V669797 = V904154 + 1. assign V693162 = V555431. assign V465450 = V409497 - 1. assign V774540 = V079438 - 1. assign V393720 = V198669. assign V904154 = V079215. assign V391604 = V972510 - 1. assign V595898 = V860975 - 1. assign V158473 = V997311 + 1. assign V598486 = V934214 + 1. assign V326913 = V213226 - 1. assign V195784 = V449460. assign V579041 = V773391. assign V081793 = V172137 + 1. assign V071352 = V079438 - 1. assign V545702 = V637807. assign V104413 = V595898 + 1. assign V671879 = V465450 + 1. assign V086920 = V135053 + 1. assign V387367 = V079215 - 1. assign V343175 = V056453 + 1. assign V213334 = V460925 - 1. assign V752411 = V387367 + 1. assign V995192 = V460925.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV023367 = 4;\n\nFrom these direct assignment(s), we have: \nV255141 = V023367 - 1 = 4 - 1 =3;\nNo other variables can be derived from V255141;\nNo other variables can be derived from V023367;\n\nNow we have done all the calculations. Derived variables are:\nV023367 = 4;\nV255141 = 3;\n\nNow we have finished this problem. ANSWER:\nV255141\n", "role": "assistant" } ]

[ "V194357" ]

[ { "content": "<context>\nassign V535112 = V066728 + 1. assign V615271 = V646990 + 1. assign V393850 = V648092 - 1. assign V802484 = V897043. assign V355145 = V082830 - 1. assign V727059 = V466960 + 1. assign V359296 = V033836. assign V728856 = V696811 - 1. assign V480458 = V850651 - 1. assign V079514 = V700245. assign V822858 = V350892 - 1. assign V600507 = V877078. assign V951572 = V398243. assign V723354 = V398243 - 1. assign V156340 = V779555 - 1. assign V611903 = V319267 + 1. assign V010900 = V249423 - 1. assign V162610 = V319267 + 1. assign V734279 = V802484. assign V877078 = V480458 - 1. assign V611276 = V355233 + 1. assign V062825 = V398243 - 1. assign V355233 = V486725. assign V486725 = V480458 + 1. assign V466960 = V033836 - 1. assign V220738 = V855652 - 1. assign V093203 = V700245 + 1. assign V363206 = V712021. assign V850651 = V466960 - 1. assign V640547 = V033836. assign V070222 = V712021. assign V066728 = V897043 - 1. assign V078331 = V855652 + 1. assign V736509 = V855652 - 1. assign V779555 = V897043 + 1. assign V402376 = V062825 - 1. assign V036906 = V226679 - 1. assign V633612 = V779555 - 1. assign V284076 = V093203. assign V635984 = V428774 + 1. assign V033836 = V897043 - 1. assign V350892 = V355691 - 1. assign V403798 = V850651 - 1. assign V521513 = V078331. assign V489827 = V355233 - 1. assign V648092 = V466960 - 1. assign V288366 = V712021 - 1. assign V789569 = V078331 - 1. assign V700245 = V633612 + 1. assign V428774 = V093203 + 1. assign V858314 = V712021. assign V855652 = V033836. assign V671461 = V858314 + 1. assign V319267 = V802484. assign V554542 = V736509 - 1. assign V398243 = V648092. assign V799212 = V078331 + 1. assign V436340 = V736509 + 1. assign V606282 = V355145. assign V696811 = V066728 - 1. assign V628100 = V226679 - 1. assign V400528 = V162610 - 1. assign V805427 = V541768 - 1. assign V722867 = V162610 - 1. assign V646990 = V897043. assign V226679 = V403798 - 1. assign V018652 = V436340 - 1. assign V396741 = V078331 + 1. assign V810397 = V671461. assign V526494 = V805427 - 1. assign V526177 = V802484 - 1. assign V832533 = V226679 - 1. assign V251323 = V350892. assign V712021 = V033836. assign V355691 = V066728 - 1. assign V268305 = V727059 - 1. assign V194357 = 6. assign V186894 = V700245 - 1. assign V999221 = V194357 + 1. assign V082830 = V646990 + 1. assign V541768 = V162610 + 1. assign V432094 = V633612 - 1. assign V249423 = V802484. assign V577652 = V359296. assign V866760 = V805427 + 1. assign V645013 = V521513 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V535112 = V066728 + 1. assign V615271 = V646990 + 1. assign V393850 = V648092 - 1. assign V802484 = V897043. assign V355145 = V082830 - 1. assign V727059 = V466960 + 1. assign V359296 = V033836. assign V728856 = V696811 - 1. assign V480458 = V850651 - 1. assign V079514 = V700245. assign V822858 = V350892 - 1. assign V600507 = V877078. assign V951572 = V398243. assign V723354 = V398243 - 1. assign V156340 = V779555 - 1. assign V611903 = V319267 + 1. assign V010900 = V249423 - 1. assign V162610 = V319267 + 1. assign V734279 = V802484. assign V877078 = V480458 - 1. assign V611276 = V355233 + 1. assign V062825 = V398243 - 1. assign V355233 = V486725. assign V486725 = V480458 + 1. assign V466960 = V033836 - 1. assign V220738 = V855652 - 1. assign V093203 = V700245 + 1. assign V363206 = V712021. assign V850651 = V466960 - 1. assign V640547 = V033836. assign V070222 = V712021. assign V066728 = V897043 - 1. assign V078331 = V855652 + 1. assign V736509 = V855652 - 1. assign V779555 = V897043 + 1. assign V402376 = V062825 - 1. assign V036906 = V226679 - 1. assign V633612 = V779555 - 1. assign V284076 = V093203. assign V635984 = V428774 + 1. assign V033836 = V897043 - 1. assign V350892 = V355691 - 1. assign V403798 = V850651 - 1. assign V521513 = V078331. assign V489827 = V355233 - 1. assign V648092 = V466960 - 1. assign V288366 = V712021 - 1. assign V789569 = V078331 - 1. assign V700245 = V633612 + 1. assign V428774 = V093203 + 1. assign V858314 = V712021. assign V855652 = V033836. assign V671461 = V858314 + 1. assign V319267 = V802484. assign V554542 = V736509 - 1. assign V398243 = V648092. assign V799212 = V078331 + 1. assign V436340 = V736509 + 1. assign V606282 = V355145. assign V696811 = V066728 - 1. assign V628100 = V226679 - 1. assign V400528 = V162610 - 1. assign V805427 = V541768 - 1. assign V722867 = V162610 - 1. assign V646990 = V897043. assign V226679 = V403798 - 1. assign V018652 = V436340 - 1. assign V396741 = V078331 + 1. assign V810397 = V671461. assign V526494 = V805427 - 1. assign V526177 = V802484 - 1. assign V832533 = V226679 - 1. assign V251323 = V350892. assign V712021 = V033836. assign V355691 = V066728 - 1. assign V268305 = V727059 - 1. assign V194357 = 6. assign V186894 = V700245 - 1. assign V999221 = V194357 + 1. assign V082830 = V646990 + 1. assign V541768 = V162610 + 1. assign V432094 = V633612 - 1. assign V249423 = V802484. assign V577652 = V359296. assign V866760 = V805427 + 1. assign V645013 = V521513 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV194357 = 6;\n\nFrom these direct assignment(s), we have: \nV999221 = V194357 + 1 = 6 + 1 =7;\nNo other variables can be derived from V999221;\nNo other variables can be derived from V194357;\n\nNow we have done all the calculations. Derived variables are:\nV194357 = 6;\nV999221 = 7;\n\nNow we have finished this problem. ANSWER:\nV194357\n", "role": "assistant" } ]

[ "V754999" ]

[ { "content": "<context>\nassign V344120 = V486907 - 1. assign V403898 = V388758 + 1. assign V566103 = V374257. assign V864075 = V368215 + 1. assign V583964 = V403898. assign V244169 = V986546 + 1. assign V035740 = V422231 - 1. assign V546986 = V576597. assign V663423 = V566103 - 1. assign V683043 = V585162 - 1. assign V209084 = V637074. assign V654674 = V270034 - 1. assign V445879 = V789397 + 1. assign V576597 = V995890 - 1. assign V652769 = V502246. assign V233444 = V445879 + 1. assign V927088 = V214416 + 1. assign V315280 = V683043 - 1. assign V924179 = V176596 - 1. assign V579193 = V507605 - 1. assign V887510 = V368215. assign V840186 = V576597. assign V486907 = V637074. assign V374257 = V986546 - 1. assign V441310 = V261288 + 1. assign V071938 = V566103 - 1. assign V133999 = V566103 - 1. assign V346958 = V983663. assign V785549 = V637074 - 1. assign V542026 = V566103. assign V017079 = V374257. assign V983663 = V542026 - 1. assign V995890 = V388758 + 1. assign V345750 = V388758. assign V619597 = V887501. assign V541940 = V999153. assign V507605 = V214416 + 1. assign V176596 = V507605 - 1. assign V872918 = 5. assign V473799 = V493639. assign V002071 = V486907 - 1. assign V694989 = V368215 - 1. assign V891262 = V887501 + 1. assign V591792 = V368215 + 1. assign V857367 = V394725. assign V325549 = V486907. assign V465561 = V436945 + 1. assign V242080 = V987899 - 1. assign V473403 = V374257. assign V422920 = V473403 + 1. assign V863389 = V035740 - 1. assign V853734 = V943634. assign V502246 = V637074 - 1. assign V261288 = V910172 - 1. assign V493639 = V029217 + 1. assign V790142 = V436945 - 1. assign V585162 = V374257 - 1. assign V987899 = V002071 - 1. assign V943634 = V910172. assign V350132 = V397586 - 1. assign V637074 = V374257. assign V394725 = V750907. assign V397586 = V619597 + 1. assign V047061 = V683043. assign V272524 = V546986 + 1. assign V237858 = V694989. assign V789397 = V214416 - 1. assign V388758 = V486907 + 1. assign V887501 = V374257 + 1. assign V750907 = V507605 - 1. assign V214416 = V986546. assign V219765 = V507605 - 1. assign V270034 = V422231 + 1. assign V175508 = V214416 + 1. assign V986546 = V910172 - 1. assign V436945 = V486907 + 1. assign V029217 = V214416. assign V422231 = V637074. assign V368215 = V507605. assign V465660 = V261288. assign V999153 = V446987 + 1. assign V754999 = V872918 - 1. assign V878081 = V374257 - 1. assign V025883 = V542026 + 1. assign V446987 = V585162 - 1. assign V438779 = V546986 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V344120 = V486907 - 1. assign V403898 = V388758 + 1. assign V566103 = V374257. assign V864075 = V368215 + 1. assign V583964 = V403898. assign V244169 = V986546 + 1. assign V035740 = V422231 - 1. assign V546986 = V576597. assign V663423 = V566103 - 1. assign V683043 = V585162 - 1. assign V209084 = V637074. assign V654674 = V270034 - 1. assign V445879 = V789397 + 1. assign V576597 = V995890 - 1. assign V652769 = V502246. assign V233444 = V445879 + 1. assign V927088 = V214416 + 1. assign V315280 = V683043 - 1. assign V924179 = V176596 - 1. assign V579193 = V507605 - 1. assign V887510 = V368215. assign V840186 = V576597. assign V486907 = V637074. assign V374257 = V986546 - 1. assign V441310 = V261288 + 1. assign V071938 = V566103 - 1. assign V133999 = V566103 - 1. assign V346958 = V983663. assign V785549 = V637074 - 1. assign V542026 = V566103. assign V017079 = V374257. assign V983663 = V542026 - 1. assign V995890 = V388758 + 1. assign V345750 = V388758. assign V619597 = V887501. assign V541940 = V999153. assign V507605 = V214416 + 1. assign V176596 = V507605 - 1. assign V872918 = 5. assign V473799 = V493639. assign V002071 = V486907 - 1. assign V694989 = V368215 - 1. assign V891262 = V887501 + 1. assign V591792 = V368215 + 1. assign V857367 = V394725. assign V325549 = V486907. assign V465561 = V436945 + 1. assign V242080 = V987899 - 1. assign V473403 = V374257. assign V422920 = V473403 + 1. assign V863389 = V035740 - 1. assign V853734 = V943634. assign V502246 = V637074 - 1. assign V261288 = V910172 - 1. assign V493639 = V029217 + 1. assign V790142 = V436945 - 1. assign V585162 = V374257 - 1. assign V987899 = V002071 - 1. assign V943634 = V910172. assign V350132 = V397586 - 1. assign V637074 = V374257. assign V394725 = V750907. assign V397586 = V619597 + 1. assign V047061 = V683043. assign V272524 = V546986 + 1. assign V237858 = V694989. assign V789397 = V214416 - 1. assign V388758 = V486907 + 1. assign V887501 = V374257 + 1. assign V750907 = V507605 - 1. assign V214416 = V986546. assign V219765 = V507605 - 1. assign V270034 = V422231 + 1. assign V175508 = V214416 + 1. assign V986546 = V910172 - 1. assign V436945 = V486907 + 1. assign V029217 = V214416. assign V422231 = V637074. assign V368215 = V507605. assign V465660 = V261288. assign V999153 = V446987 + 1. assign V754999 = V872918 - 1. assign V878081 = V374257 - 1. assign V025883 = V542026 + 1. assign V446987 = V585162 - 1. assign V438779 = V546986 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV872918 = 5;\n\nFrom these direct assignment(s), we have: \nV754999 = V872918 - 1 = 5 - 1 =4;\nNo other variables can be derived from V754999;\nNo other variables can be derived from V872918;\n\nNow we have done all the calculations. Derived variables are:\nV872918 = 5;\nV754999 = 4;\n\nNow we have finished this problem. ANSWER:\nV754999\n", "role": "assistant" } ]

[ "V284354" ]

[ { "content": "<context>\nassign V426295 = V593087 + 1. assign V498835 = V323849 + 1. assign V144412 = V458228. assign V575873 = V284354 + 1. assign V854751 = V598750. assign V607305 = V408706. assign V768736 = V426295 - 1. assign V818325 = V408706. assign V355319 = V732192. assign V989929 = V877935. assign V557324 = V708993 - 1. assign V512368 = V426295 + 1. assign V065558 = V776313 - 1. assign V877935 = V584544. assign V262812 = V533839. assign V844009 = V065558 + 1. assign V864397 = V687083. assign V434672 = V512368 + 1. assign V624550 = V512368 - 1. assign V284916 = V708993 - 1. assign V499880 = V818325 - 1. assign V015963 = V323849 + 1. assign V556635 = V065558 - 1. assign V080491 = V834418 + 1. assign V163691 = V323849 + 1. assign V646348 = V571540 - 1. assign V380047 = V148120 - 1. assign V517654 = V646348 - 1. assign V234575 = V060223 + 1. assign V558983 = V533839 - 1. assign V102553 = V115836 - 1. assign V906535 = V864397 - 1. assign V275885 = V655328 - 1. assign V107554 = V015963. assign V571540 = V015963 - 1. assign V169454 = V655328 + 1. assign V687083 = V512368 - 1. assign V681451 = V556635 - 1. assign V295481 = V426295. assign V950276 = V593087 + 1. assign V409488 = V687083. assign V916532 = V259181. assign V780464 = V541895 + 1. assign V693329 = V143365 - 1. assign V881179 = V916532 + 1. assign V453304 = V655328 + 1. assign V373024 = V533839. assign V118092 = V060223 - 1. assign V143365 = V065558 - 1. assign V732192 = V323849 - 1. assign V148120 = V115836 + 1. assign V831096 = V322141 + 1. assign V322141 = V732192. assign V598750 = V600651 - 1. assign V600651 = V295481 - 1. assign V284354 = 4. assign V655328 = V687083. assign V505308 = V780464 - 1. assign V541172 = V148120 + 1. assign V533839 = V600651. assign V459848 = V541172 - 1. assign V542834 = V259181. assign V683423 = V834418. assign V820854 = V593087. assign V834418 = V864397 + 1. assign V458228 = V854751. assign V842343 = V687083 + 1. assign V323849 = V065558. assign V115836 = V600651 + 1. assign V584544 = V776313 - 1. assign V830068 = V323849 + 1. assign V776313 = V512368. assign V142501 = V118092 - 1. assign V060223 = V295481 + 1. assign V519563 = V275885 - 1. assign V408706 = V600651. assign V326506 = V259181 - 1. assign V554977 = V541895. assign V252482 = V768736 - 1. assign V708993 = V065558 + 1. assign V406362 = V607305 - 1. assign V523666 = V732192 + 1. assign V259181 = V593087. assign V611635 = V060223 - 1. assign V541895 = V732192 - 1. assign V996786 = V458228 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V426295 = V593087 + 1. assign V498835 = V323849 + 1. assign V144412 = V458228. assign V575873 = V284354 + 1. assign V854751 = V598750. assign V607305 = V408706. assign V768736 = V426295 - 1. assign V818325 = V408706. assign V355319 = V732192. assign V989929 = V877935. assign V557324 = V708993 - 1. assign V512368 = V426295 + 1. assign V065558 = V776313 - 1. assign V877935 = V584544. assign V262812 = V533839. assign V844009 = V065558 + 1. assign V864397 = V687083. assign V434672 = V512368 + 1. assign V624550 = V512368 - 1. assign V284916 = V708993 - 1. assign V499880 = V818325 - 1. assign V015963 = V323849 + 1. assign V556635 = V065558 - 1. assign V080491 = V834418 + 1. assign V163691 = V323849 + 1. assign V646348 = V571540 - 1. assign V380047 = V148120 - 1. assign V517654 = V646348 - 1. assign V234575 = V060223 + 1. assign V558983 = V533839 - 1. assign V102553 = V115836 - 1. assign V906535 = V864397 - 1. assign V275885 = V655328 - 1. assign V107554 = V015963. assign V571540 = V015963 - 1. assign V169454 = V655328 + 1. assign V687083 = V512368 - 1. assign V681451 = V556635 - 1. assign V295481 = V426295. assign V950276 = V593087 + 1. assign V409488 = V687083. assign V916532 = V259181. assign V780464 = V541895 + 1. assign V693329 = V143365 - 1. assign V881179 = V916532 + 1. assign V453304 = V655328 + 1. assign V373024 = V533839. assign V118092 = V060223 - 1. assign V143365 = V065558 - 1. assign V732192 = V323849 - 1. assign V148120 = V115836 + 1. assign V831096 = V322141 + 1. assign V322141 = V732192. assign V598750 = V600651 - 1. assign V600651 = V295481 - 1. assign V284354 = 4. assign V655328 = V687083. assign V505308 = V780464 - 1. assign V541172 = V148120 + 1. assign V533839 = V600651. assign V459848 = V541172 - 1. assign V542834 = V259181. assign V683423 = V834418. assign V820854 = V593087. assign V834418 = V864397 + 1. assign V458228 = V854751. assign V842343 = V687083 + 1. assign V323849 = V065558. assign V115836 = V600651 + 1. assign V584544 = V776313 - 1. assign V830068 = V323849 + 1. assign V776313 = V512368. assign V142501 = V118092 - 1. assign V060223 = V295481 + 1. assign V519563 = V275885 - 1. assign V408706 = V600651. assign V326506 = V259181 - 1. assign V554977 = V541895. assign V252482 = V768736 - 1. assign V708993 = V065558 + 1. assign V406362 = V607305 - 1. assign V523666 = V732192 + 1. assign V259181 = V593087. assign V611635 = V060223 - 1. assign V541895 = V732192 - 1. assign V996786 = V458228 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV284354 = 4;\n\nFrom these direct assignment(s), we have: \nV575873 = V284354 + 1 = 4 + 1 =5;\nNo other variables can be derived from V575873;\nNo other variables can be derived from V284354;\n\nNow we have done all the calculations. Derived variables are:\nV284354 = 4;\nV575873 = 5;\n\nNow we have finished this problem. ANSWER:\nV284354\n", "role": "assistant" } ]

[ "V903917" ]

[ { "content": "<context>\nassign V563609 = V657271. assign V145900 = V765286 - 1. assign V488398 = V157829 - 1. assign V613982 = V183927 - 1. assign V487584 = V558175 + 1. assign V407937 = V499805. assign V224853 = V704960 - 1. assign V499805 = V578214 - 1. assign V326930 = V645184 + 1. assign V793337 = V425989. assign V180502 = V985380. assign V202312 = V592893 + 1. assign V845599 = V985380 + 1. assign V130153 = V541107 - 1. assign V357931 = V425989 - 1. assign V376686 = V627320. assign V230592 = V274410 - 1. assign V117786 = V571852 - 1. assign V970429 = V224853 - 1. assign V594560 = V765286 - 1. assign V704960 = V985380 + 1. assign V496081 = V274410 - 1. assign V519226 = V202312 - 1. assign V792121 = V312873 + 1. assign V962672 = V312873 - 1. assign V610802 = V134212. assign V274410 = V592893 + 1. assign V592893 = V876493 - 1. assign V134212 = V255103 - 1. assign V454798 = V657271 + 1. assign V903917 = V990473 - 1. assign V316698 = V365960. assign V255103 = V961480 + 1. assign V360682 = V274410 + 1. assign V308010 = V496081. assign V312873 = V255103 - 1. assign V961480 = V499805 + 1. assign V025057 = V158919 + 1. assign V359268 = V158919 - 1. assign V992622 = V496081. assign V128543 = V074745 + 1. assign V573936 = V333916 + 1. assign V627320 = V157829 + 1. assign V990473 = 3. assign V365960 = V360682 + 1. assign V628592 = V202312. assign V338825 = V575982 + 1. assign V609936 = V454798. assign V575982 = V312873. assign V586729 = V499805. assign V919634 = V407937. assign V671917 = V255103 - 1. assign V876493 = V074745 + 1. assign V421163 = V610802 + 1. assign V275283 = V488398 - 1. assign V024648 = V488398 - 1. assign V333916 = V274410 + 1. assign V634936 = V690666. assign V571852 = V609936 - 1. assign V110272 = V134212 - 1. assign V183927 = V558175 - 1. assign V471812 = V407937 + 1. assign V985380 = V690666. assign V569897 = V657271 - 1. assign V772923 = V255103 + 1. assign V035058 = V569897 + 1. assign V157829 = V499805 - 1. assign V158919 = V407937 - 1. assign V811387 = V985380. assign V558175 = V360682 + 1. assign V765286 = V726342 + 1. assign V645184 = V134212. assign V862951 = V035058 - 1. assign V969083 = V134212. assign V798534 = V541107 + 1. assign V286118 = V365960. assign V657271 = V496081 - 1. assign V541107 = V704960 + 1. assign V041426 = V792121. assign V074745 = V578214 - 1. assign V690666 = V578214 - 1. assign V425989 = V365960 + 1. assign V726342 = V224853. assign V603622 = V488398 + 1. assign V986776 = V961480 - 1. assign V218359 = V357931 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V563609 = V657271. assign V145900 = V765286 - 1. assign V488398 = V157829 - 1. assign V613982 = V183927 - 1. assign V487584 = V558175 + 1. assign V407937 = V499805. assign V224853 = V704960 - 1. assign V499805 = V578214 - 1. assign V326930 = V645184 + 1. assign V793337 = V425989. assign V180502 = V985380. assign V202312 = V592893 + 1. assign V845599 = V985380 + 1. assign V130153 = V541107 - 1. assign V357931 = V425989 - 1. assign V376686 = V627320. assign V230592 = V274410 - 1. assign V117786 = V571852 - 1. assign V970429 = V224853 - 1. assign V594560 = V765286 - 1. assign V704960 = V985380 + 1. assign V496081 = V274410 - 1. assign V519226 = V202312 - 1. assign V792121 = V312873 + 1. assign V962672 = V312873 - 1. assign V610802 = V134212. assign V274410 = V592893 + 1. assign V592893 = V876493 - 1. assign V134212 = V255103 - 1. assign V454798 = V657271 + 1. assign V903917 = V990473 - 1. assign V316698 = V365960. assign V255103 = V961480 + 1. assign V360682 = V274410 + 1. assign V308010 = V496081. assign V312873 = V255103 - 1. assign V961480 = V499805 + 1. assign V025057 = V158919 + 1. assign V359268 = V158919 - 1. assign V992622 = V496081. assign V128543 = V074745 + 1. assign V573936 = V333916 + 1. assign V627320 = V157829 + 1. assign V990473 = 3. assign V365960 = V360682 + 1. assign V628592 = V202312. assign V338825 = V575982 + 1. assign V609936 = V454798. assign V575982 = V312873. assign V586729 = V499805. assign V919634 = V407937. assign V671917 = V255103 - 1. assign V876493 = V074745 + 1. assign V421163 = V610802 + 1. assign V275283 = V488398 - 1. assign V024648 = V488398 - 1. assign V333916 = V274410 + 1. assign V634936 = V690666. assign V571852 = V609936 - 1. assign V110272 = V134212 - 1. assign V183927 = V558175 - 1. assign V471812 = V407937 + 1. assign V985380 = V690666. assign V569897 = V657271 - 1. assign V772923 = V255103 + 1. assign V035058 = V569897 + 1. assign V157829 = V499805 - 1. assign V158919 = V407937 - 1. assign V811387 = V985380. assign V558175 = V360682 + 1. assign V765286 = V726342 + 1. assign V645184 = V134212. assign V862951 = V035058 - 1. assign V969083 = V134212. assign V798534 = V541107 + 1. assign V286118 = V365960. assign V657271 = V496081 - 1. assign V541107 = V704960 + 1. assign V041426 = V792121. assign V074745 = V578214 - 1. assign V690666 = V578214 - 1. assign V425989 = V365960 + 1. assign V726342 = V224853. assign V603622 = V488398 + 1. assign V986776 = V961480 - 1. assign V218359 = V357931 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV990473 = 3;\n\nFrom these direct assignment(s), we have: \nV903917 = V990473 - 1 = 3 - 1 =2;\nNo other variables can be derived from V903917;\nNo other variables can be derived from V990473;\n\nNow we have done all the calculations. Derived variables are:\nV990473 = 3;\nV903917 = 2;\n\nNow we have finished this problem. ANSWER:\nV903917\n", "role": "assistant" } ]

[ "V167593" ]

[ { "content": "<context>\nassign V694942 = V330000 - 1. assign V321799 = V252596. assign V122547 = V554452. assign V112634 = V008215 - 1. assign V159693 = V312914 + 1. assign V025169 = V249347. assign V312914 = V859134 - 1. assign V455923 = V440538 - 1. assign V898742 = V008215 - 1. assign V636450 = V817703. assign V343182 = V204366 - 1. assign V517808 = V685260 + 1. assign V496550 = V330000. assign V017553 = V859134 - 1. assign V094260 = V017553 + 1. assign V336549 = V249347 - 1. assign V214830 = V008215 + 1. assign V318171 = V008215 - 1. assign V252596 = V479649 + 1. assign V482437 = V175534. assign V090724 = V479649 + 1. assign V534498 = V907464 - 1. assign V838063 = V592262 + 1. assign V026404 = V117548. assign V570445 = V008215. assign V312119 = V907464 + 1. assign V656168 = V008215. assign V183205 = V838063 - 1. assign V741928 = V424763 - 1. assign V681388 = V592262. assign V214223 = V951459 + 1. assign V440538 = V204366. assign V887257 = V175534 + 1. assign V907464 = V026404 + 1. assign V694322 = V834659 + 1. assign V662723 = V378826 - 1. assign V555822 = V909846 + 1. assign V870027 = V657561 + 1. assign V625791 = V321799. assign V423651 = V694942 - 1. assign V693746 = V196501 + 1. assign V807924 = V592262 - 1. assign V249347 = V898742. assign V157011 = V838063 - 1. assign V761344 = V285118. assign V685260 = V807924. assign V270770 = V694322 - 1. assign V029476 = V479676 - 1. assign V817703 = V249347. assign V479676 = V681388 + 1. assign V788850 = V117548. assign V592262 = V249347. assign V529272 = V807924. assign V834659 = V008215 + 1. assign V092259 = V859134. assign V910835 = V318171. assign V859134 = V592262 - 1. assign V175534 = V817703 + 1. assign V610840 = V144924 + 1. assign V285118 = V249347. assign V373459 = V214830. assign V196501 = V330000 + 1. assign V167593 = 4. assign V932640 = V898742. assign V511995 = V378826 + 1. assign V554452 = V112634. assign V560480 = V932640. assign V909846 = V570445. assign V000177 = V026404. assign V424763 = V025169 + 1. assign V204366 = V424763 + 1. assign V196173 = V157011. assign V750952 = V791423. assign V330000 = V898742 + 1. assign V951459 = V838063 - 1. assign V657561 = V838063. assign V378826 = V117548 - 1. assign V148411 = V167593 - 1. assign V144924 = V026404. assign V638363 = V144924. assign V117548 = V834659 + 1. assign V450186 = V479649 + 1. assign V479649 = V834659. assign V989100 = V112634 + 1. assign V791423 = V932640. assign V716901 = V026404 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V694942 = V330000 - 1. assign V321799 = V252596. assign V122547 = V554452. assign V112634 = V008215 - 1. assign V159693 = V312914 + 1. assign V025169 = V249347. assign V312914 = V859134 - 1. assign V455923 = V440538 - 1. assign V898742 = V008215 - 1. assign V636450 = V817703. assign V343182 = V204366 - 1. assign V517808 = V685260 + 1. assign V496550 = V330000. assign V017553 = V859134 - 1. assign V094260 = V017553 + 1. assign V336549 = V249347 - 1. assign V214830 = V008215 + 1. assign V318171 = V008215 - 1. assign V252596 = V479649 + 1. assign V482437 = V175534. assign V090724 = V479649 + 1. assign V534498 = V907464 - 1. assign V838063 = V592262 + 1. assign V026404 = V117548. assign V570445 = V008215. assign V312119 = V907464 + 1. assign V656168 = V008215. assign V183205 = V838063 - 1. assign V741928 = V424763 - 1. assign V681388 = V592262. assign V214223 = V951459 + 1. assign V440538 = V204366. assign V887257 = V175534 + 1. assign V907464 = V026404 + 1. assign V694322 = V834659 + 1. assign V662723 = V378826 - 1. assign V555822 = V909846 + 1. assign V870027 = V657561 + 1. assign V625791 = V321799. assign V423651 = V694942 - 1. assign V693746 = V196501 + 1. assign V807924 = V592262 - 1. assign V249347 = V898742. assign V157011 = V838063 - 1. assign V761344 = V285118. assign V685260 = V807924. assign V270770 = V694322 - 1. assign V029476 = V479676 - 1. assign V817703 = V249347. assign V479676 = V681388 + 1. assign V788850 = V117548. assign V592262 = V249347. assign V529272 = V807924. assign V834659 = V008215 + 1. assign V092259 = V859134. assign V910835 = V318171. assign V859134 = V592262 - 1. assign V175534 = V817703 + 1. assign V610840 = V144924 + 1. assign V285118 = V249347. assign V373459 = V214830. assign V196501 = V330000 + 1. assign V167593 = 4. assign V932640 = V898742. assign V511995 = V378826 + 1. assign V554452 = V112634. assign V560480 = V932640. assign V909846 = V570445. assign V000177 = V026404. assign V424763 = V025169 + 1. assign V204366 = V424763 + 1. assign V196173 = V157011. assign V750952 = V791423. assign V330000 = V898742 + 1. assign V951459 = V838063 - 1. assign V657561 = V838063. assign V378826 = V117548 - 1. assign V148411 = V167593 - 1. assign V144924 = V026404. assign V638363 = V144924. assign V117548 = V834659 + 1. assign V450186 = V479649 + 1. assign V479649 = V834659. assign V989100 = V112634 + 1. assign V791423 = V932640. assign V716901 = V026404 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV167593 = 4;\n\nFrom these direct assignment(s), we have: \nV148411 = V167593 - 1 = 4 - 1 =3;\nNo other variables can be derived from V148411;\nNo other variables can be derived from V167593;\n\nNow we have done all the calculations. Derived variables are:\nV167593 = 4;\nV148411 = 3;\n\nNow we have finished this problem. ANSWER:\nV167593\n", "role": "assistant" } ]

[ "V228129" ]

[ { "content": "<context>\nassign V157098 = V099925 + 1. assign V704427 = V152838 - 1. assign V744652 = V704427 + 1. assign V347409 = V962313. assign V168658 = V099925. assign V897040 = V710226. assign V594164 = V962313 + 1. assign V105896 = V589823 - 1. assign V296437 = V962313 - 1. assign V099925 = V846941 - 1. assign V016520 = V776797 - 1. assign V540533 = V593747 - 1. assign V170454 = V593747 + 1. assign V563747 = V659088 + 1. assign V725811 = V569270 + 1. assign V308810 = V827019. assign V589823 = V827019. assign V872056 = V595042 - 1. assign V659088 = V962313 + 1. assign V593747 = V710226 + 1. assign V095157 = V922549 - 1. assign V630377 = V423679 + 1. assign V949830 = V136214. assign V710226 = V595042 + 1. assign V108708 = V082062. assign V276079 = V108733 + 1. assign V341542 = V296437. assign V292108 = V820253. assign V438563 = V292108. assign V967857 = V661828. assign V564842 = V540533 - 1. assign V876226 = V180755 + 1. assign V875885 = V042702 + 1. assign V217103 = V228129 - 1. assign V846941 = V637304 - 1. assign V889554 = V846941 + 1. assign V260668 = V542392 + 1. assign V922549 = V048660 - 1. assign V681043 = V931411 + 1. assign V820253 = V872056 + 1. assign V774962 = V082062. assign V180755 = V593747. assign V780032 = V776797. assign V776797 = V710226. assign V180574 = V123203 - 1. assign V931411 = V962313. assign V542392 = V846941 - 1. assign V228129 = 6. assign V363536 = V931411 - 1. assign V569270 = V827019 - 1. assign V264902 = V540533 + 1. assign V136214 = V108708 - 1. assign V069557 = V589823. assign V796746 = V967857 + 1. assign V705976 = V423679 - 1. assign V048660 = V862199 + 1. assign V042702 = V069414. assign V108733 = V123203 + 1. assign V427947 = V082062 + 1. assign V637304 = V082062 + 1. assign V827019 = V637304 + 1. assign V236290 = V889554 - 1. assign V870676 = V922549 - 1. assign V033209 = V931411. assign V007459 = V962313 - 1. assign V091153 = V827019 + 1. assign V962313 = V427947. assign V410865 = V637304. assign V152838 = V410865. assign V862199 = V967857. assign V069414 = V123203 + 1. assign V604792 = V550192 - 1. assign V550192 = V637304 + 1. assign V123203 = V659088 + 1. assign V661828 = V082062. assign V509087 = V589823. assign V480167 = V563747. assign V115375 = V347409 - 1. assign V071715 = V115375 - 1. assign V423679 = V593747. assign V850544 = V180755. assign V418816 = V872056 + 1. assign V198480 = V931411 + 1. assign V879946 = V168658 + 1. assign V595042 = V082062 + 1. assign V108949 = V347409.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V157098 = V099925 + 1. assign V704427 = V152838 - 1. assign V744652 = V704427 + 1. assign V347409 = V962313. assign V168658 = V099925. assign V897040 = V710226. assign V594164 = V962313 + 1. assign V105896 = V589823 - 1. assign V296437 = V962313 - 1. assign V099925 = V846941 - 1. assign V016520 = V776797 - 1. assign V540533 = V593747 - 1. assign V170454 = V593747 + 1. assign V563747 = V659088 + 1. assign V725811 = V569270 + 1. assign V308810 = V827019. assign V589823 = V827019. assign V872056 = V595042 - 1. assign V659088 = V962313 + 1. assign V593747 = V710226 + 1. assign V095157 = V922549 - 1. assign V630377 = V423679 + 1. assign V949830 = V136214. assign V710226 = V595042 + 1. assign V108708 = V082062. assign V276079 = V108733 + 1. assign V341542 = V296437. assign V292108 = V820253. assign V438563 = V292108. assign V967857 = V661828. assign V564842 = V540533 - 1. assign V876226 = V180755 + 1. assign V875885 = V042702 + 1. assign V217103 = V228129 - 1. assign V846941 = V637304 - 1. assign V889554 = V846941 + 1. assign V260668 = V542392 + 1. assign V922549 = V048660 - 1. assign V681043 = V931411 + 1. assign V820253 = V872056 + 1. assign V774962 = V082062. assign V180755 = V593747. assign V780032 = V776797. assign V776797 = V710226. assign V180574 = V123203 - 1. assign V931411 = V962313. assign V542392 = V846941 - 1. assign V228129 = 6. assign V363536 = V931411 - 1. assign V569270 = V827019 - 1. assign V264902 = V540533 + 1. assign V136214 = V108708 - 1. assign V069557 = V589823. assign V796746 = V967857 + 1. assign V705976 = V423679 - 1. assign V048660 = V862199 + 1. assign V042702 = V069414. assign V108733 = V123203 + 1. assign V427947 = V082062 + 1. assign V637304 = V082062 + 1. assign V827019 = V637304 + 1. assign V236290 = V889554 - 1. assign V870676 = V922549 - 1. assign V033209 = V931411. assign V007459 = V962313 - 1. assign V091153 = V827019 + 1. assign V962313 = V427947. assign V410865 = V637304. assign V152838 = V410865. assign V862199 = V967857. assign V069414 = V123203 + 1. assign V604792 = V550192 - 1. assign V550192 = V637304 + 1. assign V123203 = V659088 + 1. assign V661828 = V082062. assign V509087 = V589823. assign V480167 = V563747. assign V115375 = V347409 - 1. assign V071715 = V115375 - 1. assign V423679 = V593747. assign V850544 = V180755. assign V418816 = V872056 + 1. assign V198480 = V931411 + 1. assign V879946 = V168658 + 1. assign V595042 = V082062 + 1. assign V108949 = V347409.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV228129 = 6;\n\nFrom these direct assignment(s), we have: \nV217103 = V228129 - 1 = 6 - 1 =5;\nNo other variables can be derived from V217103;\nNo other variables can be derived from V228129;\n\nNow we have done all the calculations. Derived variables are:\nV228129 = 6;\nV217103 = 5;\n\nNow we have finished this problem. ANSWER:\nV228129\n", "role": "assistant" } ]

[ "V813924", "V658684" ]

[ { "content": "<context>\nassign V719502 = V843481 + 1. assign V900467 = V505874 - 1. assign V017028 = V999768 - 1. assign V627029 = V908472 + 1. assign V057847 = V562229 + 1. assign V247664 = V581895 - 1. assign V562229 = V365292 - 1. assign V934517 = V240932. assign V908472 = V885026 + 1. assign V076130 = V999768 - 1. assign V187033 = V178472. assign V505874 = V908472 + 1. assign V291265 = V152145. assign V615497 = V076130 + 1. assign V293162 = V152145. assign V345534 = V049351. assign V049351 = V999768. assign V315379 = V197717. assign V744485 = V049351 + 1. assign V323281 = V240932 - 1. assign V423051 = V959632 - 1. assign V029601 = V240932. assign V176286 = V540673 - 1. assign V999768 = V885026 + 1. assign V984885 = V627029. assign V658684 = V813924. assign V365292 = V155158 - 1. assign V155158 = V974799. assign V987659 = V291265 + 1. assign V634669 = V240932. assign V178472 = V885026 - 1. assign V160104 = V197717 + 1. assign V336682 = V365292 - 1. assign V876812 = V160104 - 1. assign V848442 = V719502 - 1. assign V106511 = V197717 - 1. assign V558929 = V323281 - 1. assign V102549 = V248933. assign V128948 = V291265 - 1. assign V302331 = V293162. assign V797475 = V349420 - 1. assign V081097 = V504963 + 1. assign V976299 = V908472 + 1. assign V871470 = V017028 - 1. assign V602440 = V908472. assign V791222 = V081097 - 1. assign V885026 = V540673 - 1. assign V540673 = V959632 - 1. assign V263116 = V017028 + 1. assign V290150 = V994498 - 1. assign V349420 = V197717 - 1. assign V156589 = V240932 + 1. assign V102295 = V091246 - 1. assign V457139 = V240932. assign V253908 = V291265 - 1. assign V091246 = V744485 + 1. assign V795854 = V178472 - 1. assign V005883 = V843481 - 1. assign V301962 = V505874 + 1. assign V994498 = V248933 - 1. assign V197717 = V240932 + 1. assign V484174 = V057847 + 1. assign V302261 = V848442 + 1. assign V974799 = V248933 + 1. assign V151714 = V101735 + 1. assign V504963 = V076130. assign V813924 = 4. assign V720782 = V276671 - 1. assign V929170 = V323281 + 1. assign V956245 = V176286 + 1. assign V581895 = V336682 + 1. assign V326872 = V293162. assign V276671 = V994498. assign V317152 = V562229 - 1. assign V152145 = V959632 + 1. assign V101735 = V155158 - 1. assign V248933 = V959632. assign V372145 = V197717 - 1. assign V696554 = V315379 - 1. assign V752372 = V994498 + 1. assign V240932 = V959632 - 1. assign V027920 = V345534 - 1. assign V918130 = V505874. assign V843481 = V253908 - 1. assign V753317 = V744485 - 1. assign V153898 = V457139 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V719502 = V843481 + 1. assign V900467 = V505874 - 1. assign V017028 = V999768 - 1. assign V627029 = V908472 + 1. assign V057847 = V562229 + 1. assign V247664 = V581895 - 1. assign V562229 = V365292 - 1. assign V934517 = V240932. assign V908472 = V885026 + 1. assign V076130 = V999768 - 1. assign V187033 = V178472. assign V505874 = V908472 + 1. assign V291265 = V152145. assign V615497 = V076130 + 1. assign V293162 = V152145. assign V345534 = V049351. assign V049351 = V999768. assign V315379 = V197717. assign V744485 = V049351 + 1. assign V323281 = V240932 - 1. assign V423051 = V959632 - 1. assign V029601 = V240932. assign V176286 = V540673 - 1. assign V999768 = V885026 + 1. assign V984885 = V627029. assign V658684 = V813924. assign V365292 = V155158 - 1. assign V155158 = V974799. assign V987659 = V291265 + 1. assign V634669 = V240932. assign V178472 = V885026 - 1. assign V160104 = V197717 + 1. assign V336682 = V365292 - 1. assign V876812 = V160104 - 1. assign V848442 = V719502 - 1. assign V106511 = V197717 - 1. assign V558929 = V323281 - 1. assign V102549 = V248933. assign V128948 = V291265 - 1. assign V302331 = V293162. assign V797475 = V349420 - 1. assign V081097 = V504963 + 1. assign V976299 = V908472 + 1. assign V871470 = V017028 - 1. assign V602440 = V908472. assign V791222 = V081097 - 1. assign V885026 = V540673 - 1. assign V540673 = V959632 - 1. assign V263116 = V017028 + 1. assign V290150 = V994498 - 1. assign V349420 = V197717 - 1. assign V156589 = V240932 + 1. assign V102295 = V091246 - 1. assign V457139 = V240932. assign V253908 = V291265 - 1. assign V091246 = V744485 + 1. assign V795854 = V178472 - 1. assign V005883 = V843481 - 1. assign V301962 = V505874 + 1. assign V994498 = V248933 - 1. assign V197717 = V240932 + 1. assign V484174 = V057847 + 1. assign V302261 = V848442 + 1. assign V974799 = V248933 + 1. assign V151714 = V101735 + 1. assign V504963 = V076130. assign V813924 = 4. assign V720782 = V276671 - 1. assign V929170 = V323281 + 1. assign V956245 = V176286 + 1. assign V581895 = V336682 + 1. assign V326872 = V293162. assign V276671 = V994498. assign V317152 = V562229 - 1. assign V152145 = V959632 + 1. assign V101735 = V155158 - 1. assign V248933 = V959632. assign V372145 = V197717 - 1. assign V696554 = V315379 - 1. assign V752372 = V994498 + 1. assign V240932 = V959632 - 1. assign V027920 = V345534 - 1. assign V918130 = V505874. assign V843481 = V253908 - 1. assign V753317 = V744485 - 1. assign V153898 = V457139 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV813924 = 4;\n\nFrom these direct assignment(s), we have: \nV658684 = V813924 = 4;\nNo other variables can be derived from V658684;\nNo other variables can be derived from V813924;\n\nNow we have done all the calculations. Derived variables are:\nV813924 = 4;\nV658684 = 4;\n\nNow we have finished this problem. ANSWER:\nV813924, V658684\n", "role": "assistant" } ]

[ "V826397" ]

[ { "content": "<context>\nassign V163352 = V204680 - 1. assign V338353 = V917666. assign V853614 = V881277. assign V130419 = V972211 - 1. assign V620484 = V609822 - 1. assign V826397 = V256623 - 1. assign V887303 = V581091 - 1. assign V723863 = V677489 - 1. assign V409157 = V435482 - 1. assign V256623 = 5. assign V631171 = V937038 - 1. assign V452733 = V453629 - 1. assign V543936 = V122956. assign V007677 = V887303 - 1. assign V133995 = V695245. assign V435482 = V543936. assign V426569 = V887303. assign V734600 = V262870 + 1. assign V827585 = V768502 + 1. assign V917666 = V184378 - 1. assign V519817 = V435482. assign V635233 = V122956 + 1. assign V448020 = V184378. assign V453629 = V171592. assign V213198 = V041052. assign V770122 = V991463. assign V270197 = V675104 - 1. assign V436558 = V917666. assign V229506 = V858224 - 1. assign V015801 = V130419 + 1. assign V233606 = V677489 - 1. assign V904901 = V581091 + 1. assign V043638 = V677489 + 1. assign V692986 = V184378 - 1. assign V383925 = V881277. assign V400790 = V881277 + 1. assign V902935 = V184378 + 1. assign V768502 = V466366 + 1. assign V214539 = V581091. assign V468938 = V995419 + 1. assign V204680 = V262870 + 1. assign V583866 = V400790 + 1. assign V570564 = V995419. assign V695245 = V904901 + 1. assign V921878 = V184378 + 1. assign V171592 = V887303 + 1. assign V494471 = V184378 + 1. assign V858224 = V723863. assign V592199 = V043638. assign V991463 = V338353. assign V073175 = V233606 + 1. assign V726854 = V904901. assign V184554 = V581091. assign V090087 = V770122. assign V079968 = V909738. assign V011634 = V171592 - 1. assign V262870 = V902935. assign V924571 = V494471 - 1. assign V675104 = V904901. assign V185053 = V043638. assign V823761 = V453629. assign V134142 = V904901 - 1. assign V622942 = V902935. assign V972211 = V338353 - 1. assign V466366 = V233606. assign V995419 = V904901. assign V232557 = V184378 + 1. assign V785637 = V991463. assign V194332 = V991463 + 1. assign V881277 = V917666 - 1. assign V375131 = V921878. assign V581091 = V184378 + 1. assign V383583 = V468938 + 1. assign V875379 = V232557 - 1. assign V041052 = V079968. assign V823120 = V011634 + 1. assign V537554 = V133995 + 1. assign V236602 = V583866 + 1. assign V937038 = V695245 - 1. assign V612286 = V184554. assign V122956 = V007677 - 1. assign V835696 = V853614 + 1. assign V909738 = V400790 + 1. assign V689254 = V909738 - 1. assign V677489 = V581091 + 1. assign V609822 = V338353.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V163352 = V204680 - 1. assign V338353 = V917666. assign V853614 = V881277. assign V130419 = V972211 - 1. assign V620484 = V609822 - 1. assign V826397 = V256623 - 1. assign V887303 = V581091 - 1. assign V723863 = V677489 - 1. assign V409157 = V435482 - 1. assign V256623 = 5. assign V631171 = V937038 - 1. assign V452733 = V453629 - 1. assign V543936 = V122956. assign V007677 = V887303 - 1. assign V133995 = V695245. assign V435482 = V543936. assign V426569 = V887303. assign V734600 = V262870 + 1. assign V827585 = V768502 + 1. assign V917666 = V184378 - 1. assign V519817 = V435482. assign V635233 = V122956 + 1. assign V448020 = V184378. assign V453629 = V171592. assign V213198 = V041052. assign V770122 = V991463. assign V270197 = V675104 - 1. assign V436558 = V917666. assign V229506 = V858224 - 1. assign V015801 = V130419 + 1. assign V233606 = V677489 - 1. assign V904901 = V581091 + 1. assign V043638 = V677489 + 1. assign V692986 = V184378 - 1. assign V383925 = V881277. assign V400790 = V881277 + 1. assign V902935 = V184378 + 1. assign V768502 = V466366 + 1. assign V214539 = V581091. assign V468938 = V995419 + 1. assign V204680 = V262870 + 1. assign V583866 = V400790 + 1. assign V570564 = V995419. assign V695245 = V904901 + 1. assign V921878 = V184378 + 1. assign V171592 = V887303 + 1. assign V494471 = V184378 + 1. assign V858224 = V723863. assign V592199 = V043638. assign V991463 = V338353. assign V073175 = V233606 + 1. assign V726854 = V904901. assign V184554 = V581091. assign V090087 = V770122. assign V079968 = V909738. assign V011634 = V171592 - 1. assign V262870 = V902935. assign V924571 = V494471 - 1. assign V675104 = V904901. assign V185053 = V043638. assign V823761 = V453629. assign V134142 = V904901 - 1. assign V622942 = V902935. assign V972211 = V338353 - 1. assign V466366 = V233606. assign V995419 = V904901. assign V232557 = V184378 + 1. assign V785637 = V991463. assign V194332 = V991463 + 1. assign V881277 = V917666 - 1. assign V375131 = V921878. assign V581091 = V184378 + 1. assign V383583 = V468938 + 1. assign V875379 = V232557 - 1. assign V041052 = V079968. assign V823120 = V011634 + 1. assign V537554 = V133995 + 1. assign V236602 = V583866 + 1. assign V937038 = V695245 - 1. assign V612286 = V184554. assign V122956 = V007677 - 1. assign V835696 = V853614 + 1. assign V909738 = V400790 + 1. assign V689254 = V909738 - 1. assign V677489 = V581091 + 1. assign V609822 = V338353.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV256623 = 5;\n\nFrom these direct assignment(s), we have: \nV826397 = V256623 - 1 = 5 - 1 =4;\nNo other variables can be derived from V826397;\nNo other variables can be derived from V256623;\n\nNow we have done all the calculations. Derived variables are:\nV256623 = 5;\nV826397 = 4;\n\nNow we have finished this problem. ANSWER:\nV826397\n", "role": "assistant" } ]

[ "V086305" ]

[ { "content": "<context>\nassign V150651 = V664944 + 1. assign V407807 = V544886. assign V980871 = V502066 - 1. assign V974961 = V980871 - 1. assign V676634 = V599614 - 1. assign V499294 = V278917 + 1. assign V092851 = V559361 - 1. assign V796912 = V220104 + 1. assign V718063 = V820426 - 1. assign V870574 = V935847 - 1. assign V723548 = V158070. assign V028184 = V223681. assign V830020 = V544886 - 1. assign V911606 = V215174. assign V869277 = V278917 - 1. assign V347715 = V935847 - 1. assign V760452 = V223681 + 1. assign V991172 = V306178. assign V582599 = V092851 + 1. assign V374497 = V602749 + 1. assign V018886 = V835319 - 1. assign V777449 = V191180 - 1. assign V254784 = V830020. assign V597493 = V978590 - 1. assign V248472 = V278917. assign V217323 = V158070 + 1. assign V664944 = V205443 - 1. assign V306178 = V819892 - 1. assign V684490 = V723548. assign V916210 = V191180 - 1. assign V145995 = V544886. assign V904525 = V974961 - 1. assign V215174 = V600249. assign V436438 = V223681 + 1. assign V600249 = V248472 + 1. assign V119215 = V718063 + 1. assign V217154 = V028184 - 1. assign V498000 = V820426. assign V819892 = V738183 - 1. assign V785702 = V991172 + 1. assign V225601 = V819892. assign V107998 = V867549 + 1. assign V579629 = V991172 - 1. assign V708858 = V738575 + 1. assign V191180 = V028184 + 1. assign V994497 = V217323 + 1. assign V086305 = 0. assign V182301 = V708858. assign V377469 = V738183 - 1. assign V391085 = V248472 - 1. assign V835319 = V935847 + 1. assign V978590 = V544886 - 1. assign V982321 = V602749 + 1. assign V577391 = V086305 + 1. assign V165038 = V377469 - 1. assign V997239 = V708858 + 1. assign V364308 = V158070. assign V502066 = V217323. assign V559361 = V191180 - 1. assign V205443 = V785702 + 1. assign V599614 = V158070. assign V278917 = V935847 + 1. assign V867549 = V225601. assign V223681 = V978590. assign V894537 = V629446 - 1. assign V158070 = V935847 - 1. assign V227276 = V760452 + 1. assign V629446 = V978590 - 1. assign V820426 = V544886. assign V135367 = V498000 - 1. assign V687036 = V676634 - 1. assign V513896 = V559361 - 1. assign V072034 = V819892 - 1. assign V886462 = V599614 + 1. assign V902976 = V191180 + 1. assign V747909 = V629446 - 1. assign V738575 = V544886. assign V089298 = V377469 + 1. assign V356751 = V205443. assign V602749 = V738183. assign V220104 = V718063 - 1. assign V935847 = V738183. assign V544886 = V278917 + 1. assign V451699 = V223681 + 1. assign V377765 = V935847 + 1. assign V872578 = V708858 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V150651 = V664944 + 1. assign V407807 = V544886. assign V980871 = V502066 - 1. assign V974961 = V980871 - 1. assign V676634 = V599614 - 1. assign V499294 = V278917 + 1. assign V092851 = V559361 - 1. assign V796912 = V220104 + 1. assign V718063 = V820426 - 1. assign V870574 = V935847 - 1. assign V723548 = V158070. assign V028184 = V223681. assign V830020 = V544886 - 1. assign V911606 = V215174. assign V869277 = V278917 - 1. assign V347715 = V935847 - 1. assign V760452 = V223681 + 1. assign V991172 = V306178. assign V582599 = V092851 + 1. assign V374497 = V602749 + 1. assign V018886 = V835319 - 1. assign V777449 = V191180 - 1. assign V254784 = V830020. assign V597493 = V978590 - 1. assign V248472 = V278917. assign V217323 = V158070 + 1. assign V664944 = V205443 - 1. assign V306178 = V819892 - 1. assign V684490 = V723548. assign V916210 = V191180 - 1. assign V145995 = V544886. assign V904525 = V974961 - 1. assign V215174 = V600249. assign V436438 = V223681 + 1. assign V600249 = V248472 + 1. assign V119215 = V718063 + 1. assign V217154 = V028184 - 1. assign V498000 = V820426. assign V819892 = V738183 - 1. assign V785702 = V991172 + 1. assign V225601 = V819892. assign V107998 = V867549 + 1. assign V579629 = V991172 - 1. assign V708858 = V738575 + 1. assign V191180 = V028184 + 1. assign V994497 = V217323 + 1. assign V086305 = 0. assign V182301 = V708858. assign V377469 = V738183 - 1. assign V391085 = V248472 - 1. assign V835319 = V935847 + 1. assign V978590 = V544886 - 1. assign V982321 = V602749 + 1. assign V577391 = V086305 + 1. assign V165038 = V377469 - 1. assign V997239 = V708858 + 1. assign V364308 = V158070. assign V502066 = V217323. assign V559361 = V191180 - 1. assign V205443 = V785702 + 1. assign V599614 = V158070. assign V278917 = V935847 + 1. assign V867549 = V225601. assign V223681 = V978590. assign V894537 = V629446 - 1. assign V158070 = V935847 - 1. assign V227276 = V760452 + 1. assign V629446 = V978590 - 1. assign V820426 = V544886. assign V135367 = V498000 - 1. assign V687036 = V676634 - 1. assign V513896 = V559361 - 1. assign V072034 = V819892 - 1. assign V886462 = V599614 + 1. assign V902976 = V191180 + 1. assign V747909 = V629446 - 1. assign V738575 = V544886. assign V089298 = V377469 + 1. assign V356751 = V205443. assign V602749 = V738183. assign V220104 = V718063 - 1. assign V935847 = V738183. assign V544886 = V278917 + 1. assign V451699 = V223681 + 1. assign V377765 = V935847 + 1. assign V872578 = V708858 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV086305 = 0;\n\nFrom these direct assignment(s), we have: \nV577391 = V086305 + 1 = 0 + 1 =1;\nNo other variables can be derived from V577391;\nNo other variables can be derived from V086305;\n\nNow we have done all the calculations. Derived variables are:\nV086305 = 0;\nV577391 = 1;\n\nNow we have finished this problem. ANSWER:\nV086305\n", "role": "assistant" } ]

[ "V479082" ]

[ { "content": "<context>\nassign V578717 = V886876. assign V562842 = V044472. assign V883128 = V119693. assign V373251 = V516921 - 1. assign V220660 = V161892 + 1. assign V348824 = V948655. assign V644435 = V516921 + 1. assign V007592 = V348824 + 1. assign V012964 = V562081 - 1. assign V546107 = V763795 + 1. assign V123227 = V729239 + 1. assign V629205 = V014310 - 1. assign V260687 = V562081 - 1. assign V020835 = V248784 - 1. assign V981984 = V742292. assign V923213 = V626416 - 1. assign V083348 = V556979 - 1. assign V354297 = V948655 + 1. assign V329954 = V016495 + 1. assign V160439 = V516921. assign V638680 = V393881 - 1. assign V778638 = V742292 - 1. assign V061965 = V126730 - 1. assign V014310 = V587408. assign V044472 = V012964. assign V074000 = V626416. assign V161416 = V900122. assign V742292 = V562081 - 1. assign V323953 = V220660 - 1. assign V057428 = V020835 + 1. assign V639517 = V220660. assign V566555 = V248784 + 1. assign V725027 = V729239. assign V216978 = V653411 - 1. assign V659416 = V742292. assign V085081 = V556979 + 1. assign V953141 = V644435 + 1. assign V161892 = V020835. assign V508869 = V729239. assign V860584 = V161416. assign V248784 = V953141. assign V635738 = V953141 + 1. assign V626416 = V644435. assign V175162 = V953141 + 1. assign V446474 = V644435 + 1. assign V886876 = V161416. assign V646676 = V900122 + 1. assign V000245 = V886876. assign V098393 = V175162. assign V645143 = V479082 + 1. assign V516921 = V562081 - 1. assign V624472 = V119693 - 1. assign V338454 = V316038. assign V316038 = V260687 + 1. assign V857218 = V923213 - 1. assign V198766 = V516921 + 1. assign V844508 = V016495. assign V126730 = V508869 - 1. assign V569844 = V061965 - 1. assign V587408 = V260687 - 1. assign V479082 = 10. assign V514240 = V198766 + 1. assign V900122 = V119693. assign V393881 = V161892 - 1. assign V763795 = V373251 - 1. assign V653411 = V587408 - 1. assign V427138 = V626416 - 1. assign V119531 = V844508 + 1. assign V714688 = V886876 + 1. assign V851186 = V644435. assign V590644 = V161892. assign V729239 = V981984 - 1. assign V083764 = V514240 + 1. assign V394423 = V590644 + 1. assign V556979 = V216978 - 1. assign V016495 = V562081 - 1. assign V068459 = V587408. assign V952042 = V638680 + 1. assign V710884 = V981984 - 1. assign V757001 = V981984 + 1. assign V932046 = V562842 + 1. assign V884419 = V644435 - 1. assign V235891 = V562842. assign V810264 = V373251 + 1. assign V119693 = V260687 - 1. assign V948655 = V763795 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V578717 = V886876. assign V562842 = V044472. assign V883128 = V119693. assign V373251 = V516921 - 1. assign V220660 = V161892 + 1. assign V348824 = V948655. assign V644435 = V516921 + 1. assign V007592 = V348824 + 1. assign V012964 = V562081 - 1. assign V546107 = V763795 + 1. assign V123227 = V729239 + 1. assign V629205 = V014310 - 1. assign V260687 = V562081 - 1. assign V020835 = V248784 - 1. assign V981984 = V742292. assign V923213 = V626416 - 1. assign V083348 = V556979 - 1. assign V354297 = V948655 + 1. assign V329954 = V016495 + 1. assign V160439 = V516921. assign V638680 = V393881 - 1. assign V778638 = V742292 - 1. assign V061965 = V126730 - 1. assign V014310 = V587408. assign V044472 = V012964. assign V074000 = V626416. assign V161416 = V900122. assign V742292 = V562081 - 1. assign V323953 = V220660 - 1. assign V057428 = V020835 + 1. assign V639517 = V220660. assign V566555 = V248784 + 1. assign V725027 = V729239. assign V216978 = V653411 - 1. assign V659416 = V742292. assign V085081 = V556979 + 1. assign V953141 = V644435 + 1. assign V161892 = V020835. assign V508869 = V729239. assign V860584 = V161416. assign V248784 = V953141. assign V635738 = V953141 + 1. assign V626416 = V644435. assign V175162 = V953141 + 1. assign V446474 = V644435 + 1. assign V886876 = V161416. assign V646676 = V900122 + 1. assign V000245 = V886876. assign V098393 = V175162. assign V645143 = V479082 + 1. assign V516921 = V562081 - 1. assign V624472 = V119693 - 1. assign V338454 = V316038. assign V316038 = V260687 + 1. assign V857218 = V923213 - 1. assign V198766 = V516921 + 1. assign V844508 = V016495. assign V126730 = V508869 - 1. assign V569844 = V061965 - 1. assign V587408 = V260687 - 1. assign V479082 = 10. assign V514240 = V198766 + 1. assign V900122 = V119693. assign V393881 = V161892 - 1. assign V763795 = V373251 - 1. assign V653411 = V587408 - 1. assign V427138 = V626416 - 1. assign V119531 = V844508 + 1. assign V714688 = V886876 + 1. assign V851186 = V644435. assign V590644 = V161892. assign V729239 = V981984 - 1. assign V083764 = V514240 + 1. assign V394423 = V590644 + 1. assign V556979 = V216978 - 1. assign V016495 = V562081 - 1. assign V068459 = V587408. assign V952042 = V638680 + 1. assign V710884 = V981984 - 1. assign V757001 = V981984 + 1. assign V932046 = V562842 + 1. assign V884419 = V644435 - 1. assign V235891 = V562842. assign V810264 = V373251 + 1. assign V119693 = V260687 - 1. assign V948655 = V763795 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV479082 = 10;\n\nFrom these direct assignment(s), we have: \nV645143 = V479082 + 1 = 10 + 1 =11;\nNo other variables can be derived from V645143;\nNo other variables can be derived from V479082;\n\nNow we have done all the calculations. Derived variables are:\nV479082 = 10;\nV645143 = 11;\n\nNow we have finished this problem. ANSWER:\nV479082\n", "role": "assistant" } ]

[ "V017478", "V739550" ]

[ { "content": "<context>\nassign V355037 = V963832. assign V799092 = V924717 + 1. assign V757738 = V876446 + 1. assign V007528 = V672194. assign V744630 = V947439 + 1. assign V109196 = V876446 - 1. assign V740514 = V109196. assign V513629 = V758859. assign V947439 = V477674 + 1. assign V356506 = V513629. assign V386410 = V477674. assign V468382 = V198262 + 1. assign V624571 = V672194. assign V853429 = V876446 + 1. assign V149383 = V386410 - 1. assign V491825 = V744630 - 1. assign V489579 = V207762 - 1. assign V657867 = V947439. assign V680356 = V130025 - 1. assign V739550 = V017478. assign V547149 = V876446. assign V582595 = V530051 + 1. assign V756915 = V851104 + 1. assign V740578 = V053149. assign V343490 = V657867. assign V544968 = V680356 + 1. assign V770038 = V876446. assign V777218 = V777496. assign V130025 = V758859 - 1. assign V472107 = V231355 - 1. assign V924717 = V624571. assign V937404 = V478574 + 1. assign V198262 = V449320. assign V084488 = V120369 + 1. assign V231355 = V985443 + 1. assign V012148 = V758859 + 1. assign V376853 = V084488 - 1. assign V887334 = V744630. assign V830171 = V723589. assign V793066 = V231355 + 1. assign V255950 = V770038 - 1. assign V293698 = V672194 - 1. assign V687490 = V851104 + 1. assign V380555 = V120369 - 1. assign V455671 = V966627 - 1. assign V120369 = V985443 - 1. assign V456982 = V376179 + 1. assign V015514 = V449322. assign V934825 = V680356 + 1. assign V672194 = V130025 - 1. assign V708641 = V876446 - 1. assign V985443 = V544968. assign V449320 = V343490. assign V045007 = V571779 + 1. assign V782620 = V380555 + 1. assign V784292 = V477674 + 1. assign V784016 = V793066. assign V963832 = V966627. assign V754584 = V934825. assign V385403 = V045007 - 1. assign V530051 = V672194. assign V777496 = V544968. assign V478574 = V649451. assign V876446 = V130025 - 1. assign V207762 = V582595 - 1. assign V851104 = V231355. assign V853801 = V782620 + 1. assign V494810 = V149383 - 1. assign V866817 = V680356 - 1. assign V444546 = V356506 - 1. assign V004897 = V053149 + 1. assign V769533 = V530051 + 1. assign V477674 = V213743 - 1. assign V376179 = V985443. assign V723589 = V680356 - 1. assign V053149 = V876446. assign V966627 = V380555 + 1. assign V256578 = V130025 + 1. assign V017478 = 3. assign V213743 = V120369 - 1. assign V649451 = V851104. assign V451789 = V708641. assign V523439 = V924717 - 1. assign V571779 = V380555 + 1. assign V431913 = V012148 + 1. assign V449322 = V386410 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V355037 = V963832. assign V799092 = V924717 + 1. assign V757738 = V876446 + 1. assign V007528 = V672194. assign V744630 = V947439 + 1. assign V109196 = V876446 - 1. assign V740514 = V109196. assign V513629 = V758859. assign V947439 = V477674 + 1. assign V356506 = V513629. assign V386410 = V477674. assign V468382 = V198262 + 1. assign V624571 = V672194. assign V853429 = V876446 + 1. assign V149383 = V386410 - 1. assign V491825 = V744630 - 1. assign V489579 = V207762 - 1. assign V657867 = V947439. assign V680356 = V130025 - 1. assign V739550 = V017478. assign V547149 = V876446. assign V582595 = V530051 + 1. assign V756915 = V851104 + 1. assign V740578 = V053149. assign V343490 = V657867. assign V544968 = V680356 + 1. assign V770038 = V876446. assign V777218 = V777496. assign V130025 = V758859 - 1. assign V472107 = V231355 - 1. assign V924717 = V624571. assign V937404 = V478574 + 1. assign V198262 = V449320. assign V084488 = V120369 + 1. assign V231355 = V985443 + 1. assign V012148 = V758859 + 1. assign V376853 = V084488 - 1. assign V887334 = V744630. assign V830171 = V723589. assign V793066 = V231355 + 1. assign V255950 = V770038 - 1. assign V293698 = V672194 - 1. assign V687490 = V851104 + 1. assign V380555 = V120369 - 1. assign V455671 = V966627 - 1. assign V120369 = V985443 - 1. assign V456982 = V376179 + 1. assign V015514 = V449322. assign V934825 = V680356 + 1. assign V672194 = V130025 - 1. assign V708641 = V876446 - 1. assign V985443 = V544968. assign V449320 = V343490. assign V045007 = V571779 + 1. assign V782620 = V380555 + 1. assign V784292 = V477674 + 1. assign V784016 = V793066. assign V963832 = V966627. assign V754584 = V934825. assign V385403 = V045007 - 1. assign V530051 = V672194. assign V777496 = V544968. assign V478574 = V649451. assign V876446 = V130025 - 1. assign V207762 = V582595 - 1. assign V851104 = V231355. assign V853801 = V782620 + 1. assign V494810 = V149383 - 1. assign V866817 = V680356 - 1. assign V444546 = V356506 - 1. assign V004897 = V053149 + 1. assign V769533 = V530051 + 1. assign V477674 = V213743 - 1. assign V376179 = V985443. assign V723589 = V680356 - 1. assign V053149 = V876446. assign V966627 = V380555 + 1. assign V256578 = V130025 + 1. assign V017478 = 3. assign V213743 = V120369 - 1. assign V649451 = V851104. assign V451789 = V708641. assign V523439 = V924717 - 1. assign V571779 = V380555 + 1. assign V431913 = V012148 + 1. assign V449322 = V386410 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV017478 = 3;\n\nFrom these direct assignment(s), we have: \nV739550 = V017478 = 3;\nNo other variables can be derived from V739550;\nNo other variables can be derived from V017478;\n\nNow we have done all the calculations. Derived variables are:\nV017478 = 3;\nV739550 = 3;\n\nNow we have finished this problem. ANSWER:\nV017478, V739550\n", "role": "assistant" } ]

[ "V640393" ]

[ { "content": "<context>\nassign V015563 = V863653 - 1. assign V969893 = V982587 - 1. assign V162689 = V562502 - 1. assign V562502 = V993227. assign V640393 = V996319 - 1. assign V122732 = V728623 + 1. assign V011295 = V973345 + 1. assign V967459 = V874286 - 1. assign V191083 = V204995 + 1. assign V462133 = V863653. assign V191405 = V125195. assign V780444 = V973345 - 1. assign V534736 = V593311 + 1. assign V560474 = V562502. assign V253267 = V833067. assign V451675 = V973345 + 1. assign V957468 = V581878 + 1. assign V510778 = V162689. assign V937391 = V039283. assign V852018 = V562502 + 1. assign V778956 = V878993. assign V206600 = V125195. assign V076688 = V583055 - 1. assign V996127 = V728623 + 1. assign V412308 = V967459. assign V823375 = V451675 - 1. assign V780602 = V292475 - 1. assign V262536 = V451675 - 1. assign V982587 = V967459. assign V318237 = V560474 + 1. assign V204995 = V126995. assign V139323 = V583055 + 1. assign V039283 = V878993 - 1. assign V091948 = V686450 - 1. assign V488459 = V206600 - 1. assign V108012 = V863653 + 1. assign V863653 = V996127. assign V292475 = V993227. assign V412099 = V253267 + 1. assign V966723 = V249165 - 1. assign V375619 = V318237 - 1. assign V680370 = V562502. assign V498014 = V725844 - 1. assign V714904 = V139323 - 1. assign V028919 = V122847 - 1. assign V073230 = V122732 - 1. assign V267942 = V534736 + 1. assign V125195 = V404519 + 1. assign V163560 = V680370 + 1. assign V404519 = V593311 + 1. assign V186268 = V292475. assign V313588 = V249165 - 1. assign V545989 = V534736. assign V707588 = V878993 + 1. assign V993227 = V780444 + 1. assign V126995 = V451675 + 1. assign V123919 = V139323 - 1. assign V419794 = V249165. assign V593311 = V878993. assign V874286 = V139323 + 1. assign V327121 = V880408 - 1. assign V537982 = V560474 + 1. assign V878993 = V562502 + 1. assign V996319 = 10. assign V249165 = V139323 + 1. assign V880408 = V686450. assign V583055 = V973345 - 1. assign V167256 = V852018 - 1. assign V021624 = V206600 - 1. assign V636061 = V680370 + 1. assign V877919 = V581878 + 1. assign V689529 = V780602. assign V819329 = V728623 - 1. assign V002808 = V973345. assign V728623 = V780444 + 1. assign V338730 = V823375 + 1. assign V871184 = V686450 + 1. assign V453397 = V404519. assign V122847 = V073230 + 1. assign V581878 = V122732 - 1. assign V079463 = V874286 - 1. assign V744153 = V877919 + 1. assign V725844 = V636061 - 1. assign V416650 = V419794. assign V833067 = V562502 + 1. assign V686450 = V451675 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V015563 = V863653 - 1. assign V969893 = V982587 - 1. assign V162689 = V562502 - 1. assign V562502 = V993227. assign V640393 = V996319 - 1. assign V122732 = V728623 + 1. assign V011295 = V973345 + 1. assign V967459 = V874286 - 1. assign V191083 = V204995 + 1. assign V462133 = V863653. assign V191405 = V125195. assign V780444 = V973345 - 1. assign V534736 = V593311 + 1. assign V560474 = V562502. assign V253267 = V833067. assign V451675 = V973345 + 1. assign V957468 = V581878 + 1. assign V510778 = V162689. assign V937391 = V039283. assign V852018 = V562502 + 1. assign V778956 = V878993. assign V206600 = V125195. assign V076688 = V583055 - 1. assign V996127 = V728623 + 1. assign V412308 = V967459. assign V823375 = V451675 - 1. assign V780602 = V292475 - 1. assign V262536 = V451675 - 1. assign V982587 = V967459. assign V318237 = V560474 + 1. assign V204995 = V126995. assign V139323 = V583055 + 1. assign V039283 = V878993 - 1. assign V091948 = V686450 - 1. assign V488459 = V206600 - 1. assign V108012 = V863653 + 1. assign V863653 = V996127. assign V292475 = V993227. assign V412099 = V253267 + 1. assign V966723 = V249165 - 1. assign V375619 = V318237 - 1. assign V680370 = V562502. assign V498014 = V725844 - 1. assign V714904 = V139323 - 1. assign V028919 = V122847 - 1. assign V073230 = V122732 - 1. assign V267942 = V534736 + 1. assign V125195 = V404519 + 1. assign V163560 = V680370 + 1. assign V404519 = V593311 + 1. assign V186268 = V292475. assign V313588 = V249165 - 1. assign V545989 = V534736. assign V707588 = V878993 + 1. assign V993227 = V780444 + 1. assign V126995 = V451675 + 1. assign V123919 = V139323 - 1. assign V419794 = V249165. assign V593311 = V878993. assign V874286 = V139323 + 1. assign V327121 = V880408 - 1. assign V537982 = V560474 + 1. assign V878993 = V562502 + 1. assign V996319 = 10. assign V249165 = V139323 + 1. assign V880408 = V686450. assign V583055 = V973345 - 1. assign V167256 = V852018 - 1. assign V021624 = V206600 - 1. assign V636061 = V680370 + 1. assign V877919 = V581878 + 1. assign V689529 = V780602. assign V819329 = V728623 - 1. assign V002808 = V973345. assign V728623 = V780444 + 1. assign V338730 = V823375 + 1. assign V871184 = V686450 + 1. assign V453397 = V404519. assign V122847 = V073230 + 1. assign V581878 = V122732 - 1. assign V079463 = V874286 - 1. assign V744153 = V877919 + 1. assign V725844 = V636061 - 1. assign V416650 = V419794. assign V833067 = V562502 + 1. assign V686450 = V451675 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV996319 = 10;\n\nFrom these direct assignment(s), we have: \nV640393 = V996319 - 1 = 10 - 1 =9;\nNo other variables can be derived from V640393;\nNo other variables can be derived from V996319;\n\nNow we have done all the calculations. Derived variables are:\nV996319 = 10;\nV640393 = 9;\n\nNow we have finished this problem. ANSWER:\nV640393\n", "role": "assistant" } ]

[ "V989133", "V694518" ]

[ { "content": "<context>\nassign V867100 = V558503 + 1. assign V122386 = V137622 - 1. assign V839149 = V673103. assign V572528 = V499940. assign V605196 = V320232 + 1. assign V452664 = V022097 - 1. assign V546519 = V499940 + 1. assign V447910 = V137622 - 1. assign V343784 = V928319 + 1. assign V431342 = V673103. assign V406293 = V831874 - 1. assign V415522 = V613500 - 1. assign V661921 = V022097. assign V406707 = V290361 - 1. assign V647483 = V310177 + 1. assign V196022 = V368295. assign V329101 = V613500. assign V415618 = V613500 + 1. assign V763093 = V310177 + 1. assign V287533 = V784978 + 1. assign V987558 = V310177 - 1. assign V404053 = V661921 - 1. assign V682688 = V478914. assign V799151 = V977078 - 1. assign V447381 = V831332 + 1. assign V909242 = V831874 - 1. assign V184039 = V647483 + 1. assign V599417 = V160767. assign V649142 = V784978 + 1. assign V694518 = V989133. assign V839082 = V892048 - 1. assign V713462 = V406293 - 1. assign V501613 = V499940. assign V320232 = V196022. assign V101932 = V761079 - 1. assign V813723 = V447381 - 1. assign V310177 = V558503 + 1. assign V071511 = V839149 + 1. assign V265870 = V987558 - 1. assign V073241 = V571822 - 1. assign V765987 = V331654. assign V022097 = V415618 - 1. assign V357095 = V310177. assign V278249 = V766436 + 1. assign V990697 = V156267. assign V784978 = V415618. assign V970228 = V867533 + 1. assign V156267 = V160767 - 1. assign V090995 = V867100 + 1. assign V002044 = V290361 + 1. assign V766436 = V090995. assign V952441 = V368295 - 1. assign V290361 = V122386. assign V742852 = V867533 + 1. assign V693188 = V368295. assign V062715 = V693188 + 1. assign V613500 = V763093 - 1. assign V928319 = V156267 + 1. assign V137622 = V160767 - 1. assign V961740 = V160767 - 1. assign V656927 = V571822 - 1. assign V478914 = V892048 - 1. assign V831332 = V219461. assign V831874 = V673103. assign V367541 = V661921. assign V219461 = V763093 - 1. assign V673103 = V613500. assign V331654 = V928319 + 1. assign V160767 = V357095 + 1. assign V571822 = V357095. assign V499940 = V122386. assign V884175 = V137622 + 1. assign V334484 = V184039 - 1. assign V977078 = V196022 - 1. assign V894543 = V714170 - 1. assign V989133 = 7. assign V761079 = V357095. assign V892048 = V761079. assign V867533 = V673103. assign V368295 = V160767. assign V650681 = V137622. assign V099068 = V334484 - 1. assign V714170 = V478914 + 1. assign V122826 = V184039. assign V982475 = V763093. assign V197426 = V571822 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V867100 = V558503 + 1. assign V122386 = V137622 - 1. assign V839149 = V673103. assign V572528 = V499940. assign V605196 = V320232 + 1. assign V452664 = V022097 - 1. assign V546519 = V499940 + 1. assign V447910 = V137622 - 1. assign V343784 = V928319 + 1. assign V431342 = V673103. assign V406293 = V831874 - 1. assign V415522 = V613500 - 1. assign V661921 = V022097. assign V406707 = V290361 - 1. assign V647483 = V310177 + 1. assign V196022 = V368295. assign V329101 = V613500. assign V415618 = V613500 + 1. assign V763093 = V310177 + 1. assign V287533 = V784978 + 1. assign V987558 = V310177 - 1. assign V404053 = V661921 - 1. assign V682688 = V478914. assign V799151 = V977078 - 1. assign V447381 = V831332 + 1. assign V909242 = V831874 - 1. assign V184039 = V647483 + 1. assign V599417 = V160767. assign V649142 = V784978 + 1. assign V694518 = V989133. assign V839082 = V892048 - 1. assign V713462 = V406293 - 1. assign V501613 = V499940. assign V320232 = V196022. assign V101932 = V761079 - 1. assign V813723 = V447381 - 1. assign V310177 = V558503 + 1. assign V071511 = V839149 + 1. assign V265870 = V987558 - 1. assign V073241 = V571822 - 1. assign V765987 = V331654. assign V022097 = V415618 - 1. assign V357095 = V310177. assign V278249 = V766436 + 1. assign V990697 = V156267. assign V784978 = V415618. assign V970228 = V867533 + 1. assign V156267 = V160767 - 1. assign V090995 = V867100 + 1. assign V002044 = V290361 + 1. assign V766436 = V090995. assign V952441 = V368295 - 1. assign V290361 = V122386. assign V742852 = V867533 + 1. assign V693188 = V368295. assign V062715 = V693188 + 1. assign V613500 = V763093 - 1. assign V928319 = V156267 + 1. assign V137622 = V160767 - 1. assign V961740 = V160767 - 1. assign V656927 = V571822 - 1. assign V478914 = V892048 - 1. assign V831332 = V219461. assign V831874 = V673103. assign V367541 = V661921. assign V219461 = V763093 - 1. assign V673103 = V613500. assign V331654 = V928319 + 1. assign V160767 = V357095 + 1. assign V571822 = V357095. assign V499940 = V122386. assign V884175 = V137622 + 1. assign V334484 = V184039 - 1. assign V977078 = V196022 - 1. assign V894543 = V714170 - 1. assign V989133 = 7. assign V761079 = V357095. assign V892048 = V761079. assign V867533 = V673103. assign V368295 = V160767. assign V650681 = V137622. assign V099068 = V334484 - 1. assign V714170 = V478914 + 1. assign V122826 = V184039. assign V982475 = V763093. assign V197426 = V571822 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV989133 = 7;\n\nFrom these direct assignment(s), we have: \nV694518 = V989133 = 7;\nNo other variables can be derived from V694518;\nNo other variables can be derived from V989133;\n\nNow we have done all the calculations. Derived variables are:\nV989133 = 7;\nV694518 = 7;\n\nNow we have finished this problem. ANSWER:\nV989133, V694518\n", "role": "assistant" } ]

[ "V608850", "V696754" ]

[ { "content": "<context>\nassign V688550 = V864474. assign V837966 = V123699 + 1. assign V341697 = V039831 - 1. assign V444130 = V175219. assign V143732 = V941399. assign V440530 = V688550 + 1. assign V696754 = V608850. assign V902967 = V952411 - 1. assign V746293 = V995992. assign V608850 = 1. assign V995992 = V969647. assign V293331 = V444130 + 1. assign V016698 = V247347 - 1. assign V213029 = V557981 - 1. assign V776623 = V054341 + 1. assign V882552 = V995992 - 1. assign V416875 = V442597 - 1. assign V024995 = V442597. assign V512184 = V882552 + 1. assign V832000 = V910788 - 1. assign V410610 = V526914 + 1. assign V623152 = V039831 - 1. assign V794061 = V066955. assign V388335 = V969647 - 1. assign V941399 = V864474 + 1. assign V066955 = V969647 + 1. assign V910788 = V944001 + 1. assign V371277 = V969647 + 1. assign V930509 = V039831 + 1. assign V668045 = V066955 + 1. assign V247347 = V653927. assign V054341 = V123699 - 1. assign V139091 = V247347 + 1. assign V431677 = V697930 - 1. assign V402194 = V526914 - 1. assign V519857 = V995992 - 1. assign V673632 = V123699. assign V652961 = V054341. assign V442597 = V952411 + 1. assign V557981 = V512184 - 1. assign V935592 = V995992. assign V246911 = V995992 - 1. assign V350179 = V066955 - 1. assign V969647 = V123699 + 1. assign V497957 = V914751. assign V887096 = V247347 - 1. assign V697930 = V490665 - 1. assign V526914 = V497957. assign V228806 = V190965. assign V039224 = V941399 + 1. assign V175219 = V246911 - 1. assign V952411 = V246911 - 1. assign V883983 = V697930 - 1. assign V256459 = V652961 - 1. assign V861750 = V977552 + 1. assign V914751 = V123699. assign V977552 = V864474 + 1. assign V039831 = V440530 - 1. assign V979004 = V944001. assign V988427 = V490665 + 1. assign V438463 = V431677 - 1. assign V424008 = V944001 + 1. assign V800263 = V844388 + 1. assign V830009 = V668045. assign V851659 = V123699 + 1. assign V490665 = V440530 + 1. assign V322097 = V066955 - 1. assign V513180 = V952411 - 1. assign V944001 = V995992. assign V226717 = V066955 + 1. assign V295977 = V652961 - 1. assign V010182 = V350179 + 1. assign V864474 = V914751. assign V787837 = V969647. assign V206319 = V988427 + 1. assign V653927 = V864474. assign V327936 = V588046. assign V104441 = V054341 - 1. assign V902166 = V410610. assign V651488 = V977552. assign V049922 = V588046 - 1. assign V190965 = V490665 + 1. assign V588046 = V977552 + 1. assign V967581 = V588046. assign V401107 = V490665 + 1. assign V844388 = V054341.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V688550 = V864474. assign V837966 = V123699 + 1. assign V341697 = V039831 - 1. assign V444130 = V175219. assign V143732 = V941399. assign V440530 = V688550 + 1. assign V696754 = V608850. assign V902967 = V952411 - 1. assign V746293 = V995992. assign V608850 = 1. assign V995992 = V969647. assign V293331 = V444130 + 1. assign V016698 = V247347 - 1. assign V213029 = V557981 - 1. assign V776623 = V054341 + 1. assign V882552 = V995992 - 1. assign V416875 = V442597 - 1. assign V024995 = V442597. assign V512184 = V882552 + 1. assign V832000 = V910788 - 1. assign V410610 = V526914 + 1. assign V623152 = V039831 - 1. assign V794061 = V066955. assign V388335 = V969647 - 1. assign V941399 = V864474 + 1. assign V066955 = V969647 + 1. assign V910788 = V944001 + 1. assign V371277 = V969647 + 1. assign V930509 = V039831 + 1. assign V668045 = V066955 + 1. assign V247347 = V653927. assign V054341 = V123699 - 1. assign V139091 = V247347 + 1. assign V431677 = V697930 - 1. assign V402194 = V526914 - 1. assign V519857 = V995992 - 1. assign V673632 = V123699. assign V652961 = V054341. assign V442597 = V952411 + 1. assign V557981 = V512184 - 1. assign V935592 = V995992. assign V246911 = V995992 - 1. assign V350179 = V066955 - 1. assign V969647 = V123699 + 1. assign V497957 = V914751. assign V887096 = V247347 - 1. assign V697930 = V490665 - 1. assign V526914 = V497957. assign V228806 = V190965. assign V039224 = V941399 + 1. assign V175219 = V246911 - 1. assign V952411 = V246911 - 1. assign V883983 = V697930 - 1. assign V256459 = V652961 - 1. assign V861750 = V977552 + 1. assign V914751 = V123699. assign V977552 = V864474 + 1. assign V039831 = V440530 - 1. assign V979004 = V944001. assign V988427 = V490665 + 1. assign V438463 = V431677 - 1. assign V424008 = V944001 + 1. assign V800263 = V844388 + 1. assign V830009 = V668045. assign V851659 = V123699 + 1. assign V490665 = V440530 + 1. assign V322097 = V066955 - 1. assign V513180 = V952411 - 1. assign V944001 = V995992. assign V226717 = V066955 + 1. assign V295977 = V652961 - 1. assign V010182 = V350179 + 1. assign V864474 = V914751. assign V787837 = V969647. assign V206319 = V988427 + 1. assign V653927 = V864474. assign V327936 = V588046. assign V104441 = V054341 - 1. assign V902166 = V410610. assign V651488 = V977552. assign V049922 = V588046 - 1. assign V190965 = V490665 + 1. assign V588046 = V977552 + 1. assign V967581 = V588046. assign V401107 = V490665 + 1. assign V844388 = V054341.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV608850 = 1;\n\nFrom these direct assignment(s), we have: \nV696754 = V608850 = 1;\nNo other variables can be derived from V696754;\nNo other variables can be derived from V608850;\n\nNow we have done all the calculations. Derived variables are:\nV608850 = 1;\nV696754 = 1;\n\nNow we have finished this problem. ANSWER:\nV608850, V696754\n", "role": "assistant" } ]

[ "V021483", "V743153" ]

[ { "content": "<context>\nassign V143676 = V762119 - 1. assign V502553 = V262010 - 1. assign V455104 = V219721 - 1. assign V072653 = V933678 + 1. assign V239366 = V563058 - 1. assign V545559 = V262010 + 1. assign V421836 = V110905 - 1. assign V347790 = V241682 + 1. assign V779034 = V304405 - 1. assign V009649 = V759977 + 1. assign V264663 = V131637 + 1. assign V792875 = V969994 + 1. assign V058283 = V998474 - 1. assign V864544 = V421836 - 1. assign V338309 = V264663 - 1. assign V557119 = V864544 - 1. assign V222965 = V451648. assign V429192 = V372428 + 1. assign V304405 = V997738 + 1. assign V655761 = V545559. assign V640775 = V451648. assign V933678 = V304405 - 1. assign V021483 = 9. assign V600478 = V060981 - 1. assign V234770 = V933678 + 1. assign V251778 = V997738 + 1. assign V759977 = V563058. assign V762119 = V110905 + 1. assign V673157 = V372428. assign V110905 = V262010. assign V743153 = V021483. assign V159447 = V759977. assign V292367 = V219721 + 1. assign V331185 = V963471. assign V268895 = V998474. assign V153339 = V058283 + 1. assign V346740 = V347790 - 1. assign V969994 = V058283. assign V027052 = V928076 - 1. assign V106241 = V324266 + 1. assign V963471 = V759977. assign V067726 = V963471 - 1. assign V842943 = V304405. assign V928076 = V262010. assign V262010 = V998474 - 1. assign V023789 = V915585. assign V286951 = V502553. assign V377321 = V106241 - 1. assign V725328 = V369340 - 1. assign V086932 = V071613. assign V113389 = V347790 + 1. assign V191702 = V067726. assign V283150 = V997738 + 1. assign V915585 = V283150 - 1. assign V297336 = V655761. assign V372428 = V557119 - 1. assign V542861 = V251778. assign V939428 = V640775 + 1. assign V131637 = V159447 + 1. assign V384540 = V324266. assign V793395 = V304405. assign V376677 = V640775. assign V343369 = V324266. assign V425105 = V557119 + 1. assign V222428 = V502553. assign V623038 = V283150 - 1. assign V037163 = V893015. assign V071613 = V222965 + 1. assign V997738 = V369340. assign V042979 = V451648. assign V555194 = V071613 + 1. assign V060981 = V545559. assign V324266 = V502553. assign V893015 = V997738. assign V563058 = V997738. assign V998474 = V720483 + 1. assign V663575 = V241682 + 1. assign V720483 = V241682 + 1. assign V257350 = V792875 + 1. assign V626465 = V640775. assign V241682 = V369340. assign V219721 = V058283. assign V702576 = V072653. assign V451648 = V997738. assign V873934 = V933678 + 1. assign V077673 = V346740 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V143676 = V762119 - 1. assign V502553 = V262010 - 1. assign V455104 = V219721 - 1. assign V072653 = V933678 + 1. assign V239366 = V563058 - 1. assign V545559 = V262010 + 1. assign V421836 = V110905 - 1. assign V347790 = V241682 + 1. assign V779034 = V304405 - 1. assign V009649 = V759977 + 1. assign V264663 = V131637 + 1. assign V792875 = V969994 + 1. assign V058283 = V998474 - 1. assign V864544 = V421836 - 1. assign V338309 = V264663 - 1. assign V557119 = V864544 - 1. assign V222965 = V451648. assign V429192 = V372428 + 1. assign V304405 = V997738 + 1. assign V655761 = V545559. assign V640775 = V451648. assign V933678 = V304405 - 1. assign V021483 = 9. assign V600478 = V060981 - 1. assign V234770 = V933678 + 1. assign V251778 = V997738 + 1. assign V759977 = V563058. assign V762119 = V110905 + 1. assign V673157 = V372428. assign V110905 = V262010. assign V743153 = V021483. assign V159447 = V759977. assign V292367 = V219721 + 1. assign V331185 = V963471. assign V268895 = V998474. assign V153339 = V058283 + 1. assign V346740 = V347790 - 1. assign V969994 = V058283. assign V027052 = V928076 - 1. assign V106241 = V324266 + 1. assign V963471 = V759977. assign V067726 = V963471 - 1. assign V842943 = V304405. assign V928076 = V262010. assign V262010 = V998474 - 1. assign V023789 = V915585. assign V286951 = V502553. assign V377321 = V106241 - 1. assign V725328 = V369340 - 1. assign V086932 = V071613. assign V113389 = V347790 + 1. assign V191702 = V067726. assign V283150 = V997738 + 1. assign V915585 = V283150 - 1. assign V297336 = V655761. assign V372428 = V557119 - 1. assign V542861 = V251778. assign V939428 = V640775 + 1. assign V131637 = V159447 + 1. assign V384540 = V324266. assign V793395 = V304405. assign V376677 = V640775. assign V343369 = V324266. assign V425105 = V557119 + 1. assign V222428 = V502553. assign V623038 = V283150 - 1. assign V037163 = V893015. assign V071613 = V222965 + 1. assign V997738 = V369340. assign V042979 = V451648. assign V555194 = V071613 + 1. assign V060981 = V545559. assign V324266 = V502553. assign V893015 = V997738. assign V563058 = V997738. assign V998474 = V720483 + 1. assign V663575 = V241682 + 1. assign V720483 = V241682 + 1. assign V257350 = V792875 + 1. assign V626465 = V640775. assign V241682 = V369340. assign V219721 = V058283. assign V702576 = V072653. assign V451648 = V997738. assign V873934 = V933678 + 1. assign V077673 = V346740 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV021483 = 9;\n\nFrom these direct assignment(s), we have: \nV743153 = V021483 = 9;\nNo other variables can be derived from V743153;\nNo other variables can be derived from V021483;\n\nNow we have done all the calculations. Derived variables are:\nV021483 = 9;\nV743153 = 9;\n\nNow we have finished this problem. ANSWER:\nV021483, V743153\n", "role": "assistant" } ]

[ "V968952" ]

[ { "content": "<context>\nassign V632476 = V597504. assign V180508 = V606967 + 1. assign V047060 = V826409 - 1. assign V582266 = V103422 + 1. assign V125084 = V180508. assign V103422 = V875864 + 1. assign V601376 = V189802 - 1. assign V189802 = V281157 + 1. assign V693853 = V884106 + 1. assign V491659 = V535106. assign V968952 = V382508 + 1. assign V973971 = V597504 + 1. assign V959657 = V491659 + 1. assign V720015 = V106808. assign V875864 = V372339 - 1. assign V995101 = V489457 + 1. assign V372339 = V693853 + 1. assign V828818 = V136519 + 1. assign V884106 = V373067. assign V389589 = V373067 - 1. assign V222632 = V189802 - 1. assign V535106 = V363379. assign V371801 = V074380. assign V398412 = V373067 - 1. assign V612431 = V363379. assign V074380 = V477277 + 1. assign V400299 = V891818 + 1. assign V743767 = V151634 + 1. assign V606967 = V535106 + 1. assign V702910 = V047060. assign V698156 = V800223 + 1. assign V927054 = V884106 - 1. assign V077545 = V667377. assign V427570 = V768575. assign V526928 = V106808. assign V391521 = V373067 - 1. assign V429777 = V128041 - 1. assign V212804 = V612431 + 1. assign V691575 = V612431 - 1. assign V834988 = V136519. assign V053634 = V560380 + 1. assign V957321 = V106808 - 1. assign V865244 = V691575 + 1. assign V489457 = V394120 - 1. assign V217493 = V477277 + 1. assign V382508 = 1. assign V831433 = V667377. assign V151634 = V189802. assign V172369 = V691575 + 1. assign V833388 = V489457. assign V597504 = V828818. assign V620593 = V891818. assign V369952 = V828818 + 1. assign V668787 = V875864 - 1. assign V800223 = V222632 - 1. assign V891818 = V369952 + 1. assign V363379 = V281157. assign V991466 = V346554 + 1. assign V525422 = V180508 + 1. assign V477277 = V136519. assign V560380 = V391521 - 1. assign V580288 = V398412 - 1. assign V188359 = V217493 - 1. assign V019673 = V477277 - 1. assign V128041 = V891818. assign V667377 = V106808 - 1. assign V978712 = V363379 + 1. assign V346554 = V212804. assign V287453 = V667377 + 1. assign V237991 = V927054 + 1. assign V921645 = V237991. assign V402022 = V489457 - 1. assign V768575 = V074380. assign V394120 = V212804. assign V970751 = V371801. assign V373067 = V477277 - 1. assign V106808 = V560380 - 1. assign V886682 = V189802. assign V136519 = V363379 - 1. assign V761379 = V391521 + 1. assign V867414 = V612431. assign V826409 = V612431 - 1. assign V837496 = V560380 - 1. assign V879305 = V535106 + 1. assign V786621 = V363379. assign V346008 = V601376.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V632476 = V597504. assign V180508 = V606967 + 1. assign V047060 = V826409 - 1. assign V582266 = V103422 + 1. assign V125084 = V180508. assign V103422 = V875864 + 1. assign V601376 = V189802 - 1. assign V189802 = V281157 + 1. assign V693853 = V884106 + 1. assign V491659 = V535106. assign V968952 = V382508 + 1. assign V973971 = V597504 + 1. assign V959657 = V491659 + 1. assign V720015 = V106808. assign V875864 = V372339 - 1. assign V995101 = V489457 + 1. assign V372339 = V693853 + 1. assign V828818 = V136519 + 1. assign V884106 = V373067. assign V389589 = V373067 - 1. assign V222632 = V189802 - 1. assign V535106 = V363379. assign V371801 = V074380. assign V398412 = V373067 - 1. assign V612431 = V363379. assign V074380 = V477277 + 1. assign V400299 = V891818 + 1. assign V743767 = V151634 + 1. assign V606967 = V535106 + 1. assign V702910 = V047060. assign V698156 = V800223 + 1. assign V927054 = V884106 - 1. assign V077545 = V667377. assign V427570 = V768575. assign V526928 = V106808. assign V391521 = V373067 - 1. assign V429777 = V128041 - 1. assign V212804 = V612431 + 1. assign V691575 = V612431 - 1. assign V834988 = V136519. assign V053634 = V560380 + 1. assign V957321 = V106808 - 1. assign V865244 = V691575 + 1. assign V489457 = V394120 - 1. assign V217493 = V477277 + 1. assign V382508 = 1. assign V831433 = V667377. assign V151634 = V189802. assign V172369 = V691575 + 1. assign V833388 = V489457. assign V597504 = V828818. assign V620593 = V891818. assign V369952 = V828818 + 1. assign V668787 = V875864 - 1. assign V800223 = V222632 - 1. assign V891818 = V369952 + 1. assign V363379 = V281157. assign V991466 = V346554 + 1. assign V525422 = V180508 + 1. assign V477277 = V136519. assign V560380 = V391521 - 1. assign V580288 = V398412 - 1. assign V188359 = V217493 - 1. assign V019673 = V477277 - 1. assign V128041 = V891818. assign V667377 = V106808 - 1. assign V978712 = V363379 + 1. assign V346554 = V212804. assign V287453 = V667377 + 1. assign V237991 = V927054 + 1. assign V921645 = V237991. assign V402022 = V489457 - 1. assign V768575 = V074380. assign V394120 = V212804. assign V970751 = V371801. assign V373067 = V477277 - 1. assign V106808 = V560380 - 1. assign V886682 = V189802. assign V136519 = V363379 - 1. assign V761379 = V391521 + 1. assign V867414 = V612431. assign V826409 = V612431 - 1. assign V837496 = V560380 - 1. assign V879305 = V535106 + 1. assign V786621 = V363379. assign V346008 = V601376.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV382508 = 1;\n\nFrom these direct assignment(s), we have: \nV968952 = V382508 + 1 = 1 + 1 =2;\nNo other variables can be derived from V968952;\nNo other variables can be derived from V382508;\n\nNow we have done all the calculations. Derived variables are:\nV382508 = 1;\nV968952 = 2;\n\nNow we have finished this problem. ANSWER:\nV968952\n", "role": "assistant" } ]

[ "V440462" ]

[ { "content": "<context>\nassign V326829 = V962257 + 1. assign V427843 = V705612 + 1. assign V720819 = V632102 - 1. assign V404107 = V740549 - 1. assign V440613 = V616550 - 1. assign V560565 = V197623 + 1. assign V399010 = V192766. assign V632102 = V676477. assign V369096 = V801939 + 1. assign V372669 = V434697 - 1. assign V182859 = V192766. assign V676477 = V265351 - 1. assign V656481 = V735985 + 1. assign V102754 = V831537. assign V705612 = V399010 - 1. assign V388906 = V632102 - 1. assign V197623 = V414829 - 1. assign V051336 = V399010 + 1. assign V467463 = V434099. assign V546316 = V667347 - 1. assign V586511 = V265351 + 1. assign V878753 = V197623 - 1. assign V552230 = V719565 - 1. assign V726547 = V399010. assign V277469 = 3. assign V260576 = V412345. assign V634010 = V434099 + 1. assign V831537 = V497686 - 1. assign V292179 = V634010 - 1. assign V103658 = V412039 - 1. assign V497686 = V197623 - 1. assign V527060 = V434099. assign V173790 = V058354 - 1. assign V735985 = V962257 - 1. assign V265993 = V414829. assign V870510 = V197623 - 1. assign V643165 = V564384 + 1. assign V719565 = V735311 + 1. assign V586602 = V222851 - 1. assign V564384 = V943858 - 1. assign V414829 = V740549 - 1. assign V943858 = V414829. assign V715057 = V369096. assign V434697 = V369096. assign V862681 = V292179. assign V145819 = V962257 - 1. assign V698445 = V412345. assign V412345 = V735985 + 1. assign V682037 = V414829 + 1. assign V321897 = V870510 - 1. assign V058354 = V427843. assign V657674 = V182859 + 1. assign V856435 = V412345. assign V192766 = V497686 - 1. assign V487717 = V414829 - 1. assign V412039 = V462326. assign V037408 = V870510. assign V323427 = V412039. assign V019820 = V943858. assign V118888 = V878753. assign V767546 = V103658. assign V962257 = V197623 - 1. assign V616550 = V197623. assign V261768 = V103658. assign V667347 = V878753 - 1. assign V801939 = V667347. assign V257898 = V735311 - 1. assign V283175 = V643165 + 1. assign V222851 = V962257 + 1. assign V265351 = V740549 - 1. assign V462326 = V740549 + 1. assign V713950 = V399010 + 1. assign V434099 = V399010 - 1. assign V144511 = V434099 - 1. assign V429350 = V412345 - 1. assign V657818 = V434697 - 1. assign V519139 = V222851 + 1. assign V707747 = V414829 + 1. assign V104560 = V412345 - 1. assign V735311 = V197623. assign V270183 = V467463 - 1. assign V440462 = V277469 - 1. assign V360221 = V372669 - 1. assign V920853 = V144511 - 1. assign V274041 = V831537 + 1. assign V149081 = V943858 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V326829 = V962257 + 1. assign V427843 = V705612 + 1. assign V720819 = V632102 - 1. assign V404107 = V740549 - 1. assign V440613 = V616550 - 1. assign V560565 = V197623 + 1. assign V399010 = V192766. assign V632102 = V676477. assign V369096 = V801939 + 1. assign V372669 = V434697 - 1. assign V182859 = V192766. assign V676477 = V265351 - 1. assign V656481 = V735985 + 1. assign V102754 = V831537. assign V705612 = V399010 - 1. assign V388906 = V632102 - 1. assign V197623 = V414829 - 1. assign V051336 = V399010 + 1. assign V467463 = V434099. assign V546316 = V667347 - 1. assign V586511 = V265351 + 1. assign V878753 = V197623 - 1. assign V552230 = V719565 - 1. assign V726547 = V399010. assign V277469 = 3. assign V260576 = V412345. assign V634010 = V434099 + 1. assign V831537 = V497686 - 1. assign V292179 = V634010 - 1. assign V103658 = V412039 - 1. assign V497686 = V197623 - 1. assign V527060 = V434099. assign V173790 = V058354 - 1. assign V735985 = V962257 - 1. assign V265993 = V414829. assign V870510 = V197623 - 1. assign V643165 = V564384 + 1. assign V719565 = V735311 + 1. assign V586602 = V222851 - 1. assign V564384 = V943858 - 1. assign V414829 = V740549 - 1. assign V943858 = V414829. assign V715057 = V369096. assign V434697 = V369096. assign V862681 = V292179. assign V145819 = V962257 - 1. assign V698445 = V412345. assign V412345 = V735985 + 1. assign V682037 = V414829 + 1. assign V321897 = V870510 - 1. assign V058354 = V427843. assign V657674 = V182859 + 1. assign V856435 = V412345. assign V192766 = V497686 - 1. assign V487717 = V414829 - 1. assign V412039 = V462326. assign V037408 = V870510. assign V323427 = V412039. assign V019820 = V943858. assign V118888 = V878753. assign V767546 = V103658. assign V962257 = V197623 - 1. assign V616550 = V197623. assign V261768 = V103658. assign V667347 = V878753 - 1. assign V801939 = V667347. assign V257898 = V735311 - 1. assign V283175 = V643165 + 1. assign V222851 = V962257 + 1. assign V265351 = V740549 - 1. assign V462326 = V740549 + 1. assign V713950 = V399010 + 1. assign V434099 = V399010 - 1. assign V144511 = V434099 - 1. assign V429350 = V412345 - 1. assign V657818 = V434697 - 1. assign V519139 = V222851 + 1. assign V707747 = V414829 + 1. assign V104560 = V412345 - 1. assign V735311 = V197623. assign V270183 = V467463 - 1. assign V440462 = V277469 - 1. assign V360221 = V372669 - 1. assign V920853 = V144511 - 1. assign V274041 = V831537 + 1. assign V149081 = V943858 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV277469 = 3;\n\nFrom these direct assignment(s), we have: \nV440462 = V277469 - 1 = 3 - 1 =2;\nNo other variables can be derived from V440462;\nNo other variables can be derived from V277469;\n\nNow we have done all the calculations. Derived variables are:\nV277469 = 3;\nV440462 = 2;\n\nNow we have finished this problem. ANSWER:\nV440462\n", "role": "assistant" } ]

[ "V958041" ]

[ { "content": "<context>\nassign V085255 = V442086 + 1. assign V903417 = V470533 - 1. assign V904960 = V808868 + 1. assign V512984 = V708779 - 1. assign V261858 = V484698. assign V731726 = V069918. assign V714220 = V312929 - 1. assign V782670 = V312929 + 1. assign V771585 = V241756 - 1. assign V402950 = V241756. assign V445328 = 7. assign V173143 = V342758 - 1. assign V666585 = V261858. assign V544987 = V892376. assign V017553 = V800113 + 1. assign V470533 = V484698. assign V783789 = V402950 + 1. assign V639925 = V544987 + 1. assign V804116 = V069918 + 1. assign V339044 = V241756. assign V708779 = V576402. assign V337644 = V719492 - 1. assign V429889 = V771585. assign V019369 = V384417 - 1. assign V800113 = V484698 + 1. assign V268481 = V092278. assign V077248 = V514672 - 1. assign V484698 = V241756. assign V648994 = V928381 - 1. assign V958041 = V445328 + 1. assign V555481 = V442086 + 1. assign V808868 = V576402 + 1. assign V604844 = V089099. assign V719492 = V085255 - 1. assign V158147 = V808868 + 1. assign V928381 = V442086. assign V987547 = V928381. assign V771484 = V928381. assign V215564 = V085255 - 1. assign V739547 = V442086. assign V167129 = V261858. assign V170476 = V800113. assign V311116 = V512984 - 1. assign V384417 = V987547. assign V465689 = V714220 + 1. assign V230381 = V771585 + 1. assign V085734 = V457281. assign V342758 = V312929 + 1. assign V870714 = V452569 + 1. assign V188972 = V268707. assign V226497 = V890680 + 1. assign V341440 = V241756 + 1. assign V992957 = V268707 + 1. assign V722207 = V555481 + 1. assign V713832 = V188972. assign V782390 = V170476. assign V312929 = V860094 + 1. assign V089099 = V890680 + 1. assign V349914 = V241756. assign V442086 = V241756. assign V986919 = V384417. assign V811585 = V870714. assign V092278 = V860094. assign V268707 = V457281 + 1. assign V514672 = V555481. assign V890680 = V987547 + 1. assign V439777 = V860094. assign V354697 = V457281 - 1. assign V417587 = V452569 + 1. assign V945217 = V739547 + 1. assign V069918 = V739547. assign V083079 = V928381 + 1. assign V059604 = V452569. assign V238708 = V215564 - 1. assign V512383 = V439777 - 1. assign V452569 = V555481 + 1. assign V719826 = V312929 - 1. assign V321165 = V341440 - 1. assign V892376 = V928381. assign V457281 = V928381 - 1. assign V860094 = V987547. assign V353197 = V261858 + 1. assign V573720 = V173143 + 1. assign V348970 = V544987. assign V576402 = V544987 + 1. assign V496777 = V945217 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V085255 = V442086 + 1. assign V903417 = V470533 - 1. assign V904960 = V808868 + 1. assign V512984 = V708779 - 1. assign V261858 = V484698. assign V731726 = V069918. assign V714220 = V312929 - 1. assign V782670 = V312929 + 1. assign V771585 = V241756 - 1. assign V402950 = V241756. assign V445328 = 7. assign V173143 = V342758 - 1. assign V666585 = V261858. assign V544987 = V892376. assign V017553 = V800113 + 1. assign V470533 = V484698. assign V783789 = V402950 + 1. assign V639925 = V544987 + 1. assign V804116 = V069918 + 1. assign V339044 = V241756. assign V708779 = V576402. assign V337644 = V719492 - 1. assign V429889 = V771585. assign V019369 = V384417 - 1. assign V800113 = V484698 + 1. assign V268481 = V092278. assign V077248 = V514672 - 1. assign V484698 = V241756. assign V648994 = V928381 - 1. assign V958041 = V445328 + 1. assign V555481 = V442086 + 1. assign V808868 = V576402 + 1. assign V604844 = V089099. assign V719492 = V085255 - 1. assign V158147 = V808868 + 1. assign V928381 = V442086. assign V987547 = V928381. assign V771484 = V928381. assign V215564 = V085255 - 1. assign V739547 = V442086. assign V167129 = V261858. assign V170476 = V800113. assign V311116 = V512984 - 1. assign V384417 = V987547. assign V465689 = V714220 + 1. assign V230381 = V771585 + 1. assign V085734 = V457281. assign V342758 = V312929 + 1. assign V870714 = V452569 + 1. assign V188972 = V268707. assign V226497 = V890680 + 1. assign V341440 = V241756 + 1. assign V992957 = V268707 + 1. assign V722207 = V555481 + 1. assign V713832 = V188972. assign V782390 = V170476. assign V312929 = V860094 + 1. assign V089099 = V890680 + 1. assign V349914 = V241756. assign V442086 = V241756. assign V986919 = V384417. assign V811585 = V870714. assign V092278 = V860094. assign V268707 = V457281 + 1. assign V514672 = V555481. assign V890680 = V987547 + 1. assign V439777 = V860094. assign V354697 = V457281 - 1. assign V417587 = V452569 + 1. assign V945217 = V739547 + 1. assign V069918 = V739547. assign V083079 = V928381 + 1. assign V059604 = V452569. assign V238708 = V215564 - 1. assign V512383 = V439777 - 1. assign V452569 = V555481 + 1. assign V719826 = V312929 - 1. assign V321165 = V341440 - 1. assign V892376 = V928381. assign V457281 = V928381 - 1. assign V860094 = V987547. assign V353197 = V261858 + 1. assign V573720 = V173143 + 1. assign V348970 = V544987. assign V576402 = V544987 + 1. assign V496777 = V945217 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV445328 = 7;\n\nFrom these direct assignment(s), we have: \nV958041 = V445328 + 1 = 7 + 1 =8;\nNo other variables can be derived from V958041;\nNo other variables can be derived from V445328;\n\nNow we have done all the calculations. Derived variables are:\nV445328 = 7;\nV958041 = 8;\n\nNow we have finished this problem. ANSWER:\nV958041\n", "role": "assistant" } ]

[ "V160319", "V752913" ]

[ { "content": "<context>\nassign V523357 = V826220 + 1. assign V080036 = V401662 + 1. assign V433162 = V728541 - 1. assign V231757 = V335478 + 1. assign V066475 = V390339. assign V805714 = V588076. assign V514135 = V711532 + 1. assign V475203 = V968155. assign V624756 = V207288 + 1. assign V262615 = V401964 - 1. assign V327944 = V514135 + 1. assign V401964 = V611141. assign V792197 = V116925 - 1. assign V361414 = V914556. assign V654270 = V445070. assign V430314 = V800846. assign V722389 = V514135 + 1. assign V023091 = V116925 + 1. assign V335478 = V728541 - 1. assign V406298 = V365152. assign V390339 = V711532. assign V902895 = V914556 - 1. assign V420635 = V914556 + 1. assign V225200 = V924164. assign V742317 = V902895 + 1. assign V550945 = V390339 - 1. assign V529799 = V023091 - 1. assign V684970 = V327944 - 1. assign V800846 = V588076 + 1. assign V365152 = V875615. assign V058206 = V860711 - 1. assign V908163 = V640820. assign V213269 = V792197. assign V728974 = V826220 - 1. assign V728541 = V066475 + 1. assign V924164 = V126446 + 1. assign V990143 = V514135 - 1. assign V521143 = V080036. assign V914556 = V126446 - 1. assign V727609 = V327944. assign V980851 = V474004 + 1. assign V695636 = V307631. assign V875615 = V550945. assign V623478 = V262615. assign V160319 = 0. assign V551065 = V914556 - 1. assign V859546 = V072409 + 1. assign V557561 = V435405 - 1. assign V572864 = V390339 - 1. assign V968155 = V401964. assign V693132 = V588076. assign V245074 = V693132 - 1. assign V173692 = V750731. assign V255020 = V550945 + 1. assign V001838 = V126446 + 1. assign V680496 = V207288 + 1. assign V445070 = V255020 + 1. assign V637691 = V255020. assign V474004 = V433162. assign V401662 = V390339. assign V988885 = V588076. assign V588076 = V728541 - 1. assign V125797 = V433162. assign V136695 = V529799 + 1. assign V938139 = V711532 - 1. assign V207288 = V023091 + 1. assign V640820 = V309696 + 1. assign V514861 = V924164 - 1. assign V435405 = V988885 - 1. assign V860711 = V557561. assign V257198 = V875615 - 1. assign V750731 = V557561. assign V752913 = V160319. assign V232624 = V938139 - 1. assign V126446 = V711532 - 1. assign V629886 = V800846. assign V826220 = V066475. assign V116925 = V711532 - 1. assign V072409 = V390339. assign V665757 = V023091. assign V085629 = V232624 - 1. assign V309696 = V066475 + 1. assign V894290 = V684970 - 1. assign V307631 = V800846 + 1. assign V611141 = V938139 + 1. assign V234244 = V232624.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V523357 = V826220 + 1. assign V080036 = V401662 + 1. assign V433162 = V728541 - 1. assign V231757 = V335478 + 1. assign V066475 = V390339. assign V805714 = V588076. assign V514135 = V711532 + 1. assign V475203 = V968155. assign V624756 = V207288 + 1. assign V262615 = V401964 - 1. assign V327944 = V514135 + 1. assign V401964 = V611141. assign V792197 = V116925 - 1. assign V361414 = V914556. assign V654270 = V445070. assign V430314 = V800846. assign V722389 = V514135 + 1. assign V023091 = V116925 + 1. assign V335478 = V728541 - 1. assign V406298 = V365152. assign V390339 = V711532. assign V902895 = V914556 - 1. assign V420635 = V914556 + 1. assign V225200 = V924164. assign V742317 = V902895 + 1. assign V550945 = V390339 - 1. assign V529799 = V023091 - 1. assign V684970 = V327944 - 1. assign V800846 = V588076 + 1. assign V365152 = V875615. assign V058206 = V860711 - 1. assign V908163 = V640820. assign V213269 = V792197. assign V728974 = V826220 - 1. assign V728541 = V066475 + 1. assign V924164 = V126446 + 1. assign V990143 = V514135 - 1. assign V521143 = V080036. assign V914556 = V126446 - 1. assign V727609 = V327944. assign V980851 = V474004 + 1. assign V695636 = V307631. assign V875615 = V550945. assign V623478 = V262615. assign V160319 = 0. assign V551065 = V914556 - 1. assign V859546 = V072409 + 1. assign V557561 = V435405 - 1. assign V572864 = V390339 - 1. assign V968155 = V401964. assign V693132 = V588076. assign V245074 = V693132 - 1. assign V173692 = V750731. assign V255020 = V550945 + 1. assign V001838 = V126446 + 1. assign V680496 = V207288 + 1. assign V445070 = V255020 + 1. assign V637691 = V255020. assign V474004 = V433162. assign V401662 = V390339. assign V988885 = V588076. assign V588076 = V728541 - 1. assign V125797 = V433162. assign V136695 = V529799 + 1. assign V938139 = V711532 - 1. assign V207288 = V023091 + 1. assign V640820 = V309696 + 1. assign V514861 = V924164 - 1. assign V435405 = V988885 - 1. assign V860711 = V557561. assign V257198 = V875615 - 1. assign V750731 = V557561. assign V752913 = V160319. assign V232624 = V938139 - 1. assign V126446 = V711532 - 1. assign V629886 = V800846. assign V826220 = V066475. assign V116925 = V711532 - 1. assign V072409 = V390339. assign V665757 = V023091. assign V085629 = V232624 - 1. assign V309696 = V066475 + 1. assign V894290 = V684970 - 1. assign V307631 = V800846 + 1. assign V611141 = V938139 + 1. assign V234244 = V232624.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV160319 = 0;\n\nFrom these direct assignment(s), we have: \nV752913 = V160319 = 0;\nNo other variables can be derived from V752913;\nNo other variables can be derived from V160319;\n\nNow we have done all the calculations. Derived variables are:\nV160319 = 0;\nV752913 = 0;\n\nNow we have finished this problem. ANSWER:\nV160319, V752913\n", "role": "assistant" } ]

[ "V237129" ]

[ { "content": "<context>\nassign V008429 = V342440 - 1. assign V093252 = V931306 + 1. assign V489437 = V630856 + 1. assign V630856 = V093252. assign V338696 = V118118. assign V009656 = V911124. assign V422009 = V050821 - 1. assign V379382 = V245030 - 1. assign V664486 = V379382 - 1. assign V175137 = V050821 - 1. assign V986158 = V237129 + 1. assign V648919 = V410411 + 1. assign V589434 = V164338 - 1. assign V504265 = V810448 + 1. assign V055536 = V379382 - 1. assign V466666 = V055536 + 1. assign V911124 = V247809 + 1. assign V749736 = V379382. assign V320879 = V055536 - 1. assign V881668 = V944781. assign V022603 = V655501 - 1. assign V639237 = V245030 - 1. assign V983781 = V733530 - 1. assign V160366 = V050821. assign V105619 = V971989 - 1. assign V247809 = V306461 - 1. assign V121161 = V164338. assign V372206 = V050821. assign V508976 = V658502 - 1. assign V625305 = V021143 - 1. assign V694972 = V175137 - 1. assign V334254 = V050821. assign V995725 = V127950 - 1. assign V050821 = V995725 - 1. assign V820049 = V342440. assign V516991 = V664486 - 1. assign V691884 = V944781 - 1. assign V164338 = V338696. assign V800556 = V160366. assign V764770 = V064235 - 1. assign V024905 = V093252 + 1. assign V257972 = V164338 - 1. assign V288987 = V951952 - 1. assign V523956 = V971989 + 1. assign V148834 = V118118. assign V425420 = V112401 - 1. assign V658502 = V118118. assign V021143 = V537237 - 1. assign V287035 = V338696 + 1. assign V479505 = V422009 - 1. assign V461863 = V995725. assign V237129 = 3. assign V064235 = V648919. assign V342440 = V589434 - 1. assign V204043 = V537237. assign V971989 = V658502. assign V410411 = V589434 - 1. assign V682167 = V320879. assign V708638 = V055536. assign V810448 = V338696. assign V649589 = V245030 + 1. assign V733530 = V479505 - 1. assign V306461 = V121161. assign V401981 = V121161 + 1. assign V150636 = V022603 + 1. assign V308748 = V105619. assign V118118 = V127950 + 1. assign V655501 = V118118 + 1. assign V245030 = V508976. assign V426540 = V951952 + 1. assign V475344 = V995725 + 1. assign V284805 = V466666 + 1. assign V593088 = V810448 + 1. assign V474247 = V245030. assign V537237 = V649589 - 1. assign V371213 = V150636 + 1. assign V389394 = V112401. assign V475491 = V175137. assign V944781 = V164338 - 1. assign V951952 = V160366. assign V931306 = V658502. assign V112401 = V658502 + 1. assign V334114 = V983781 - 1. assign V956500 = V694972 + 1. assign V659350 = V655501 + 1. assign V602493 = V475491 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V008429 = V342440 - 1. assign V093252 = V931306 + 1. assign V489437 = V630856 + 1. assign V630856 = V093252. assign V338696 = V118118. assign V009656 = V911124. assign V422009 = V050821 - 1. assign V379382 = V245030 - 1. assign V664486 = V379382 - 1. assign V175137 = V050821 - 1. assign V986158 = V237129 + 1. assign V648919 = V410411 + 1. assign V589434 = V164338 - 1. assign V504265 = V810448 + 1. assign V055536 = V379382 - 1. assign V466666 = V055536 + 1. assign V911124 = V247809 + 1. assign V749736 = V379382. assign V320879 = V055536 - 1. assign V881668 = V944781. assign V022603 = V655501 - 1. assign V639237 = V245030 - 1. assign V983781 = V733530 - 1. assign V160366 = V050821. assign V105619 = V971989 - 1. assign V247809 = V306461 - 1. assign V121161 = V164338. assign V372206 = V050821. assign V508976 = V658502 - 1. assign V625305 = V021143 - 1. assign V694972 = V175137 - 1. assign V334254 = V050821. assign V995725 = V127950 - 1. assign V050821 = V995725 - 1. assign V820049 = V342440. assign V516991 = V664486 - 1. assign V691884 = V944781 - 1. assign V164338 = V338696. assign V800556 = V160366. assign V764770 = V064235 - 1. assign V024905 = V093252 + 1. assign V257972 = V164338 - 1. assign V288987 = V951952 - 1. assign V523956 = V971989 + 1. assign V148834 = V118118. assign V425420 = V112401 - 1. assign V658502 = V118118. assign V021143 = V537237 - 1. assign V287035 = V338696 + 1. assign V479505 = V422009 - 1. assign V461863 = V995725. assign V237129 = 3. assign V064235 = V648919. assign V342440 = V589434 - 1. assign V204043 = V537237. assign V971989 = V658502. assign V410411 = V589434 - 1. assign V682167 = V320879. assign V708638 = V055536. assign V810448 = V338696. assign V649589 = V245030 + 1. assign V733530 = V479505 - 1. assign V306461 = V121161. assign V401981 = V121161 + 1. assign V150636 = V022603 + 1. assign V308748 = V105619. assign V118118 = V127950 + 1. assign V655501 = V118118 + 1. assign V245030 = V508976. assign V426540 = V951952 + 1. assign V475344 = V995725 + 1. assign V284805 = V466666 + 1. assign V593088 = V810448 + 1. assign V474247 = V245030. assign V537237 = V649589 - 1. assign V371213 = V150636 + 1. assign V389394 = V112401. assign V475491 = V175137. assign V944781 = V164338 - 1. assign V951952 = V160366. assign V931306 = V658502. assign V112401 = V658502 + 1. assign V334114 = V983781 - 1. assign V956500 = V694972 + 1. assign V659350 = V655501 + 1. assign V602493 = V475491 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV237129 = 3;\n\nFrom these direct assignment(s), we have: \nV986158 = V237129 + 1 = 3 + 1 =4;\nNo other variables can be derived from V986158;\nNo other variables can be derived from V237129;\n\nNow we have done all the calculations. Derived variables are:\nV237129 = 3;\nV986158 = 4;\n\nNow we have finished this problem. ANSWER:\nV237129\n", "role": "assistant" } ]

[ "V107663" ]

[ { "content": "<context>\nassign V569209 = V353641 + 1. assign V473927 = V052197 + 1. assign V221369 = V052197 + 1. assign V006984 = V460644 + 1. assign V827955 = V848255 + 1. assign V107663 = V640513 + 1. assign V040720 = V569325 - 1. assign V313408 = V998204. assign V460644 = V569209 - 1. assign V656034 = V006984 - 1. assign V857539 = V461994 - 1. assign V913940 = V439444 - 1. assign V541968 = V674616 - 1. assign V861872 = V460644. assign V009751 = V396651 + 1. assign V008861 = V838741. assign V436958 = V087483. assign V285007 = V537536 - 1. assign V372060 = V541968 + 1. assign V569325 = V369942 - 1. assign V566146 = V285007. assign V725437 = V569209 - 1. assign V920597 = V040720 - 1. assign V570780 = V181603. assign V553776 = V020581. assign V882101 = V769344. assign V474947 = V363425. assign V335899 = V460644. assign V969955 = V313408 - 1. assign V586912 = V052197 + 1. assign V332428 = V313408 - 1. assign V087483 = V460644. assign V481472 = V439444 - 1. assign V751977 = V165419 + 1. assign V537536 = V569209. assign V461994 = V272977 + 1. assign V119657 = V439444. assign V998204 = V439444. assign V852208 = V656034. assign V986679 = V397429 + 1. assign V274655 = V285007 - 1. assign V570126 = V861872 - 1. assign V978922 = V332428 + 1. assign V363425 = V006984 - 1. assign V926318 = V751977 + 1. assign V223986 = V353641. assign V769344 = V285007 - 1. assign V450175 = V969955 - 1. assign V272977 = V363425 + 1. assign V020581 = V569209 + 1. assign V650694 = V857539 + 1. assign V180122 = V272977 + 1. assign V097762 = V165419 - 1. assign V848255 = V439444. assign V617260 = V537536 + 1. assign V930729 = V656034. assign V858669 = V119657. assign V396651 = V474947. assign V799998 = V473927 - 1. assign V084196 = V461994 + 1. assign V017237 = V119657 - 1. assign V917788 = V461994. assign V850003 = V272977 - 1. assign V439444 = V335899 + 1. assign V599407 = V439444. assign V397429 = V460644 + 1. assign V147318 = V479749. assign V640513 = 8. assign V020949 = V537536. assign V927612 = V617260 - 1. assign V833701 = V335899. assign V595150 = V969955 + 1. assign V305761 = V272977 + 1. assign V369942 = V006984 - 1. assign V469447 = V439444 + 1. assign V937105 = V040720 - 1. assign V165419 = V052197 - 1. assign V052197 = V913940 - 1. assign V838741 = V397429. assign V307515 = V751977. assign V674616 = V020581 - 1. assign V853681 = V656034 - 1. assign V181603 = V461994 + 1. assign V104076 = V569209. assign V602400 = V725437. assign V479749 = V397429 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V569209 = V353641 + 1. assign V473927 = V052197 + 1. assign V221369 = V052197 + 1. assign V006984 = V460644 + 1. assign V827955 = V848255 + 1. assign V107663 = V640513 + 1. assign V040720 = V569325 - 1. assign V313408 = V998204. assign V460644 = V569209 - 1. assign V656034 = V006984 - 1. assign V857539 = V461994 - 1. assign V913940 = V439444 - 1. assign V541968 = V674616 - 1. assign V861872 = V460644. assign V009751 = V396651 + 1. assign V008861 = V838741. assign V436958 = V087483. assign V285007 = V537536 - 1. assign V372060 = V541968 + 1. assign V569325 = V369942 - 1. assign V566146 = V285007. assign V725437 = V569209 - 1. assign V920597 = V040720 - 1. assign V570780 = V181603. assign V553776 = V020581. assign V882101 = V769344. assign V474947 = V363425. assign V335899 = V460644. assign V969955 = V313408 - 1. assign V586912 = V052197 + 1. assign V332428 = V313408 - 1. assign V087483 = V460644. assign V481472 = V439444 - 1. assign V751977 = V165419 + 1. assign V537536 = V569209. assign V461994 = V272977 + 1. assign V119657 = V439444. assign V998204 = V439444. assign V852208 = V656034. assign V986679 = V397429 + 1. assign V274655 = V285007 - 1. assign V570126 = V861872 - 1. assign V978922 = V332428 + 1. assign V363425 = V006984 - 1. assign V926318 = V751977 + 1. assign V223986 = V353641. assign V769344 = V285007 - 1. assign V450175 = V969955 - 1. assign V272977 = V363425 + 1. assign V020581 = V569209 + 1. assign V650694 = V857539 + 1. assign V180122 = V272977 + 1. assign V097762 = V165419 - 1. assign V848255 = V439444. assign V617260 = V537536 + 1. assign V930729 = V656034. assign V858669 = V119657. assign V396651 = V474947. assign V799998 = V473927 - 1. assign V084196 = V461994 + 1. assign V017237 = V119657 - 1. assign V917788 = V461994. assign V850003 = V272977 - 1. assign V439444 = V335899 + 1. assign V599407 = V439444. assign V397429 = V460644 + 1. assign V147318 = V479749. assign V640513 = 8. assign V020949 = V537536. assign V927612 = V617260 - 1. assign V833701 = V335899. assign V595150 = V969955 + 1. assign V305761 = V272977 + 1. assign V369942 = V006984 - 1. assign V469447 = V439444 + 1. assign V937105 = V040720 - 1. assign V165419 = V052197 - 1. assign V052197 = V913940 - 1. assign V838741 = V397429. assign V307515 = V751977. assign V674616 = V020581 - 1. assign V853681 = V656034 - 1. assign V181603 = V461994 + 1. assign V104076 = V569209. assign V602400 = V725437. assign V479749 = V397429 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV640513 = 8;\n\nFrom these direct assignment(s), we have: \nV107663 = V640513 + 1 = 8 + 1 =9;\nNo other variables can be derived from V107663;\nNo other variables can be derived from V640513;\n\nNow we have done all the calculations. Derived variables are:\nV640513 = 8;\nV107663 = 9;\n\nNow we have finished this problem. ANSWER:\nV107663\n", "role": "assistant" } ]

[ "V471106" ]

[ { "content": "<context>\nassign V555615 = V450450 + 1. assign V049494 = V118440. assign V730500 = V526515 + 1. assign V338640 = V125185 - 1. assign V158422 = 0. assign V880448 = V822336 + 1. assign V173893 = V803911 - 1. assign V120944 = V550354. assign V991150 = V896675 + 1. assign V704227 = V623420. assign V247502 = V701658. assign V909258 = V682308 - 1. assign V803911 = V896675 + 1. assign V051990 = V471320. assign V606529 = V623420 + 1. assign V495836 = V442213 - 1. assign V232642 = V337727 + 1. assign V077031 = V337727 - 1. assign V366845 = V247502 + 1. assign V210788 = V684107. assign V857257 = V934133 - 1. assign V699395 = V222141 + 1. assign V021916 = V125185. assign V125185 = V803911 - 1. assign V222141 = V381650 - 1. assign V876698 = V618449 - 1. assign V214365 = V562619 + 1. assign V928682 = V049207. assign V816090 = V450450 + 1. assign V159490 = V550354. assign V247250 = V021612 - 1. assign V488035 = V816090 - 1. assign V862421 = V500119 - 1. assign V380159 = V120944 + 1. assign V526515 = V876698 + 1. assign V337727 = V682308 - 1. assign V049207 = V125185 + 1. assign V442213 = V366845 + 1. assign V701658 = V302496 + 1. assign V783538 = V562619 + 1. assign V500119 = V450450. assign V618449 = V471320. assign V302496 = V159490 - 1. assign V684107 = V803911. assign V676255 = V701658 + 1. assign V108901 = V847236 + 1. assign V623420 = V896675. assign V803441 = V847236 - 1. assign V826721 = V331343 - 1. assign V923115 = V021612 - 1. assign V764185 = V701141 - 1. assign V746548 = V701658 - 1. assign V682308 = V551010. assign V360826 = V701658 - 1. assign V021612 = V210788 + 1. assign V551010 = V684107. assign V471320 = V302496. assign V137981 = V491703 + 1. assign V771399 = V380159 - 1. assign V701141 = V120944. assign V822336 = V896675. assign V763581 = V247250 + 1. assign V948222 = V991150 + 1. assign V274285 = V247250 + 1. assign V961090 = V909258 - 1. assign V550354 = V822336. assign V791415 = V803441 - 1. assign V544497 = V623420. assign V847236 = V623420. assign V331343 = V771399 + 1. assign V950099 = V862421 + 1. assign V089483 = V274285. assign V035313 = V210788 + 1. assign V471106 = V158422 - 1. assign V110356 = V381650. assign V257085 = V771399 + 1. assign V785173 = V247250. assign V562619 = V551010 - 1. assign V861288 = V360826 - 1. assign V934133 = V450450. assign V381650 = V159490. assign V450450 = V623420 - 1. assign V581363 = V381650 + 1. assign V218625 = V471320 - 1. assign V491703 = V803441 + 1. assign V118440 = V218625.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to -1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V555615 = V450450 + 1. assign V049494 = V118440. assign V730500 = V526515 + 1. assign V338640 = V125185 - 1. assign V158422 = 0. assign V880448 = V822336 + 1. assign V173893 = V803911 - 1. assign V120944 = V550354. assign V991150 = V896675 + 1. assign V704227 = V623420. assign V247502 = V701658. assign V909258 = V682308 - 1. assign V803911 = V896675 + 1. assign V051990 = V471320. assign V606529 = V623420 + 1. assign V495836 = V442213 - 1. assign V232642 = V337727 + 1. assign V077031 = V337727 - 1. assign V366845 = V247502 + 1. assign V210788 = V684107. assign V857257 = V934133 - 1. assign V699395 = V222141 + 1. assign V021916 = V125185. assign V125185 = V803911 - 1. assign V222141 = V381650 - 1. assign V876698 = V618449 - 1. assign V214365 = V562619 + 1. assign V928682 = V049207. assign V816090 = V450450 + 1. assign V159490 = V550354. assign V247250 = V021612 - 1. assign V488035 = V816090 - 1. assign V862421 = V500119 - 1. assign V380159 = V120944 + 1. assign V526515 = V876698 + 1. assign V337727 = V682308 - 1. assign V049207 = V125185 + 1. assign V442213 = V366845 + 1. assign V701658 = V302496 + 1. assign V783538 = V562619 + 1. assign V500119 = V450450. assign V618449 = V471320. assign V302496 = V159490 - 1. assign V684107 = V803911. assign V676255 = V701658 + 1. assign V108901 = V847236 + 1. assign V623420 = V896675. assign V803441 = V847236 - 1. assign V826721 = V331343 - 1. assign V923115 = V021612 - 1. assign V764185 = V701141 - 1. assign V746548 = V701658 - 1. assign V682308 = V551010. assign V360826 = V701658 - 1. assign V021612 = V210788 + 1. assign V551010 = V684107. assign V471320 = V302496. assign V137981 = V491703 + 1. assign V771399 = V380159 - 1. assign V701141 = V120944. assign V822336 = V896675. assign V763581 = V247250 + 1. assign V948222 = V991150 + 1. assign V274285 = V247250 + 1. assign V961090 = V909258 - 1. assign V550354 = V822336. assign V791415 = V803441 - 1. assign V544497 = V623420. assign V847236 = V623420. assign V331343 = V771399 + 1. assign V950099 = V862421 + 1. assign V089483 = V274285. assign V035313 = V210788 + 1. assign V471106 = V158422 - 1. assign V110356 = V381650. assign V257085 = V771399 + 1. assign V785173 = V247250. assign V562619 = V551010 - 1. assign V861288 = V360826 - 1. assign V934133 = V450450. assign V381650 = V159490. assign V450450 = V623420 - 1. assign V581363 = V381650 + 1. assign V218625 = V471320 - 1. assign V491703 = V803441 + 1. assign V118440 = V218625.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to -1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV158422 = 0;\n\nFrom these direct assignment(s), we have: \nV471106 = V158422 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V471106;\nNo other variables can be derived from V158422;\n\nNow we have done all the calculations. Derived variables are:\nV158422 = 0;\nV471106 = -1;\n\nNow we have finished this problem. ANSWER:\nV471106\n", "role": "assistant" } ]

[ "V192570" ]

[ { "content": "<context>\nassign V552852 = V137986. assign V192570 = V630145 + 1. assign V335310 = V988818 - 1. assign V818631 = V091375. assign V737165 = V730122 + 1. assign V591354 = V115966 - 1. assign V734486 = V730122 - 1. assign V345562 = V063316 + 1. assign V351954 = V927792. assign V730122 = V700156 - 1. assign V091375 = V323355 - 1. assign V489434 = V283840 + 1. assign V773378 = V700156 - 1. assign V993207 = V465031 + 1. assign V042681 = V818631. assign V872572 = V048476 + 1. assign V137986 = V596610. assign V454922 = V759789 - 1. assign V821987 = V361701 - 1. assign V828698 = V450914 - 1. assign V988818 = V700156. assign V002048 = V803138 - 1. assign V252217 = V323355. assign V927792 = V259791 - 1. assign V156095 = V636101. assign V323355 = V700156. assign V595365 = V934787. assign V165200 = V096625. assign V710503 = V730122 + 1. assign V356109 = V667281 - 1. assign V485032 = V787918 + 1. assign V630145 = 7. assign V283840 = V934787 + 1. assign V787329 = V278182. assign V323296 = V361701 - 1. assign V314491 = V916987 + 1. assign V280952 = V596610 + 1. assign V363794 = V345562 - 1. assign V355377 = V710503 - 1. assign V687674 = V596610 + 1. assign V465031 = V323355 + 1. assign V615757 = V450914. assign V636101 = V252217. assign V605144 = V489434. assign V922475 = V596610 + 1. assign V345676 = V355377 + 1. assign V556207 = V096625. assign V667281 = V596610. assign V334474 = V838940. assign V361701 = V700156 + 1. assign V698173 = V773378. assign V916987 = V063316. assign V838940 = V700156 - 1. assign V936143 = V927722 - 1. assign V117444 = V249860 - 1. assign V479367 = V137986 - 1. assign V803138 = V700156 - 1. assign V696439 = V361701 - 1. assign V427230 = V278182 + 1. assign V256745 = V737165. assign V259791 = V700156 - 1. assign V450914 = V137986 - 1. assign V793364 = V759789 + 1. assign V116905 = V696439 + 1. assign V115966 = V091375 - 1. assign V681028 = V278182 + 1. assign V571745 = V667281 - 1. assign V319413 = V280952 - 1. assign V096625 = V927792 - 1. assign V787918 = V988818. assign V957986 = V922475 - 1. assign V759789 = V283840. assign V751760 = V342428 - 1. assign V342428 = V922475. assign V927722 = V115966 - 1. assign V063316 = V259791. assign V934787 = V165200. assign V230684 = V681028. assign V048476 = V818631. assign V596610 = V700156 + 1. assign V246611 = V096625 + 1. assign V126137 = V957986 + 1. assign V658832 = V361701. assign V278182 = V596610 - 1. assign V249860 = V048476 - 1. assign V405966 = V596610 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V552852 = V137986. assign V192570 = V630145 + 1. assign V335310 = V988818 - 1. assign V818631 = V091375. assign V737165 = V730122 + 1. assign V591354 = V115966 - 1. assign V734486 = V730122 - 1. assign V345562 = V063316 + 1. assign V351954 = V927792. assign V730122 = V700156 - 1. assign V091375 = V323355 - 1. assign V489434 = V283840 + 1. assign V773378 = V700156 - 1. assign V993207 = V465031 + 1. assign V042681 = V818631. assign V872572 = V048476 + 1. assign V137986 = V596610. assign V454922 = V759789 - 1. assign V821987 = V361701 - 1. assign V828698 = V450914 - 1. assign V988818 = V700156. assign V002048 = V803138 - 1. assign V252217 = V323355. assign V927792 = V259791 - 1. assign V156095 = V636101. assign V323355 = V700156. assign V595365 = V934787. assign V165200 = V096625. assign V710503 = V730122 + 1. assign V356109 = V667281 - 1. assign V485032 = V787918 + 1. assign V630145 = 7. assign V283840 = V934787 + 1. assign V787329 = V278182. assign V323296 = V361701 - 1. assign V314491 = V916987 + 1. assign V280952 = V596610 + 1. assign V363794 = V345562 - 1. assign V355377 = V710503 - 1. assign V687674 = V596610 + 1. assign V465031 = V323355 + 1. assign V615757 = V450914. assign V636101 = V252217. assign V605144 = V489434. assign V922475 = V596610 + 1. assign V345676 = V355377 + 1. assign V556207 = V096625. assign V667281 = V596610. assign V334474 = V838940. assign V361701 = V700156 + 1. assign V698173 = V773378. assign V916987 = V063316. assign V838940 = V700156 - 1. assign V936143 = V927722 - 1. assign V117444 = V249860 - 1. assign V479367 = V137986 - 1. assign V803138 = V700156 - 1. assign V696439 = V361701 - 1. assign V427230 = V278182 + 1. assign V256745 = V737165. assign V259791 = V700156 - 1. assign V450914 = V137986 - 1. assign V793364 = V759789 + 1. assign V116905 = V696439 + 1. assign V115966 = V091375 - 1. assign V681028 = V278182 + 1. assign V571745 = V667281 - 1. assign V319413 = V280952 - 1. assign V096625 = V927792 - 1. assign V787918 = V988818. assign V957986 = V922475 - 1. assign V759789 = V283840. assign V751760 = V342428 - 1. assign V342428 = V922475. assign V927722 = V115966 - 1. assign V063316 = V259791. assign V934787 = V165200. assign V230684 = V681028. assign V048476 = V818631. assign V596610 = V700156 + 1. assign V246611 = V096625 + 1. assign V126137 = V957986 + 1. assign V658832 = V361701. assign V278182 = V596610 - 1. assign V249860 = V048476 - 1. assign V405966 = V596610 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV630145 = 7;\n\nFrom these direct assignment(s), we have: \nV192570 = V630145 + 1 = 7 + 1 =8;\nNo other variables can be derived from V192570;\nNo other variables can be derived from V630145;\n\nNow we have done all the calculations. Derived variables are:\nV630145 = 7;\nV192570 = 8;\n\nNow we have finished this problem. ANSWER:\nV192570\n", "role": "assistant" } ]

[ "V651801", "V121600" ]

[ { "content": "<context>\nassign V252053 = V766604 + 1. assign V180997 = V308373 - 1. assign V912189 = V036828 - 1. assign V031443 = V590918 + 1. assign V808076 = V824624. assign V123683 = V337780 + 1. assign V837301 = V837835. assign V389319 = V851596 - 1. assign V590918 = V530090 - 1. assign V101581 = V837301 + 1. assign V288054 = V590918 + 1. assign V337844 = V308373 - 1. assign V834493 = V228263. assign V036828 = V837301 + 1. assign V242053 = V824624 + 1. assign V417285 = V352366. assign V787095 = V380251 + 1. assign V742415 = V337780 + 1. assign V461921 = V824624. assign V175512 = V866781. assign V140654 = V167459 + 1. assign V672846 = V244429 + 1. assign V339944 = V770917 + 1. assign V293970 = V903322 - 1. assign V098643 = V003039. assign V358558 = V866781 + 1. assign V585442 = V154037. assign V403514 = V248471 - 1. assign V121600 = V651801. assign V248471 = V903322 - 1. assign V766604 = V886740 + 1. assign V557196 = V358558 + 1. assign V686303 = V837301 - 1. assign V087506 = V912189 + 1. assign V370231 = V123683 + 1. assign V919647 = V633895 + 1. assign V886740 = V154037 - 1. assign V390398 = V461921 - 1. assign V154037 = V808076 + 1. assign V837835 = V337780 + 1. assign V475765 = V837301 - 1. assign V866781 = V337780 - 1. assign V329733 = V031443 + 1. assign V566551 = V742415. assign V723573 = V390398 - 1. assign V260043 = V585442 - 1. assign V415708 = V210347 + 1. assign V457031 = V031443 - 1. assign V104065 = V140654 + 1. assign V474767 = V686303 - 1. assign V770917 = V824624. assign V210347 = V380251 + 1. assign V546781 = V244429 + 1. assign V413364 = V585442. assign V350325 = V123683 + 1. assign V941442 = V389319. assign V337780 = V242053 - 1. assign V252921 = V412240 + 1. assign V003039 = V957742 + 1. assign V651801 = 10. assign V228263 = V837301 + 1. assign V298753 = V288054. assign V529348 = V837835 + 1. assign V379812 = V390398 - 1. assign V851596 = V352366. assign V352366 = V154037 - 1. assign V525153 = V412240 - 1. assign V957742 = V390398 - 1. assign V335991 = V248471. assign V143496 = V912189. assign V877503 = V003039 + 1. assign V633895 = V808076 + 1. assign V707230 = V957742. assign V412240 = V808076. assign V530090 = V837835. assign V910050 = V350325 - 1. assign V103230 = V787095 - 1. assign V521635 = V293970 - 1. assign V903322 = V242053 + 1. assign V244429 = V837301 + 1. assign V167459 = V529348 + 1. assign V525523 = V101581 + 1. assign V824624 = V380251 - 1. assign V750427 = V293970 + 1. assign V308373 = V242053. assign V656108 = V837301 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V252053 = V766604 + 1. assign V180997 = V308373 - 1. assign V912189 = V036828 - 1. assign V031443 = V590918 + 1. assign V808076 = V824624. assign V123683 = V337780 + 1. assign V837301 = V837835. assign V389319 = V851596 - 1. assign V590918 = V530090 - 1. assign V101581 = V837301 + 1. assign V288054 = V590918 + 1. assign V337844 = V308373 - 1. assign V834493 = V228263. assign V036828 = V837301 + 1. assign V242053 = V824624 + 1. assign V417285 = V352366. assign V787095 = V380251 + 1. assign V742415 = V337780 + 1. assign V461921 = V824624. assign V175512 = V866781. assign V140654 = V167459 + 1. assign V672846 = V244429 + 1. assign V339944 = V770917 + 1. assign V293970 = V903322 - 1. assign V098643 = V003039. assign V358558 = V866781 + 1. assign V585442 = V154037. assign V403514 = V248471 - 1. assign V121600 = V651801. assign V248471 = V903322 - 1. assign V766604 = V886740 + 1. assign V557196 = V358558 + 1. assign V686303 = V837301 - 1. assign V087506 = V912189 + 1. assign V370231 = V123683 + 1. assign V919647 = V633895 + 1. assign V886740 = V154037 - 1. assign V390398 = V461921 - 1. assign V154037 = V808076 + 1. assign V837835 = V337780 + 1. assign V475765 = V837301 - 1. assign V866781 = V337780 - 1. assign V329733 = V031443 + 1. assign V566551 = V742415. assign V723573 = V390398 - 1. assign V260043 = V585442 - 1. assign V415708 = V210347 + 1. assign V457031 = V031443 - 1. assign V104065 = V140654 + 1. assign V474767 = V686303 - 1. assign V770917 = V824624. assign V210347 = V380251 + 1. assign V546781 = V244429 + 1. assign V413364 = V585442. assign V350325 = V123683 + 1. assign V941442 = V389319. assign V337780 = V242053 - 1. assign V252921 = V412240 + 1. assign V003039 = V957742 + 1. assign V651801 = 10. assign V228263 = V837301 + 1. assign V298753 = V288054. assign V529348 = V837835 + 1. assign V379812 = V390398 - 1. assign V851596 = V352366. assign V352366 = V154037 - 1. assign V525153 = V412240 - 1. assign V957742 = V390398 - 1. assign V335991 = V248471. assign V143496 = V912189. assign V877503 = V003039 + 1. assign V633895 = V808076 + 1. assign V707230 = V957742. assign V412240 = V808076. assign V530090 = V837835. assign V910050 = V350325 - 1. assign V103230 = V787095 - 1. assign V521635 = V293970 - 1. assign V903322 = V242053 + 1. assign V244429 = V837301 + 1. assign V167459 = V529348 + 1. assign V525523 = V101581 + 1. assign V824624 = V380251 - 1. assign V750427 = V293970 + 1. assign V308373 = V242053. assign V656108 = V837301 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV651801 = 10;\n\nFrom these direct assignment(s), we have: \nV121600 = V651801 = 10;\nNo other variables can be derived from V121600;\nNo other variables can be derived from V651801;\n\nNow we have done all the calculations. Derived variables are:\nV651801 = 10;\nV121600 = 10;\n\nNow we have finished this problem. ANSWER:\nV651801, V121600\n", "role": "assistant" } ]

[ "V454030" ]

[ { "content": "<context>\nassign V713809 = V126788 - 1. assign V462543 = V588470 - 1. assign V301143 = V783365 - 1. assign V756509 = V539044. assign V046697 = V128570. assign V396584 = V947705 + 1. assign V700346 = V480169. assign V196901 = V444141 + 1. assign V384233 = V487900 - 1. assign V444516 = V723945 - 1. assign V511387 = V196901. assign V338383 = V067326 + 1. assign V179040 = V205890. assign V425947 = V947705. assign V611354 = V385453 + 1. assign V999608 = V723945 - 1. assign V745841 = V480169 - 1. assign V877280 = V757073. assign V626742 = V731648. assign V588470 = V947705 - 1. assign V126788 = V156811. assign V213773 = V924358 - 1. assign V145817 = V798482. assign V413374 = V359528 - 1. assign V385453 = V128570. assign V402323 = V425947 - 1. assign V798482 = V756509. assign V880416 = V069201. assign V472215 = V924358. assign V455212 = V046697. assign V640081 = V359528 - 1. assign V110314 = V413821 - 1. assign V069201 = V156811. assign V444141 = V794541. assign V343848 = V385453. assign V156811 = V592240 - 1. assign V971561 = V717084 + 1. assign V462015 = V798482. assign V924358 = V462543 + 1. assign V480169 = V723945. assign V578976 = V611354 + 1. assign V539044 = V327530 + 1. assign V862137 = V671337. assign V359528 = V396584 - 1. assign V382258 = V128570. assign V128570 = V731648 - 1. assign V798112 = V564514 - 1. assign V564514 = V723945 - 1. assign V067326 = V717084. assign V757073 = V569709. assign V471841 = V578976 - 1. assign V957270 = V359528. assign V731648 = V396584 + 1. assign V251198 = V611354 + 1. assign V794541 = V359528. assign V372125 = V413374 + 1. assign V325976 = V717084 + 1. assign V918511 = V951870. assign V331539 = V745841. assign V741763 = V924358 + 1. assign V723945 = V947705. assign V327530 = V396584 - 1. assign V602002 = V444516 + 1. assign V160747 = V924358 + 1. assign V205890 = V611354. assign V334165 = V947705 - 1. assign V413821 = V741763. assign V454030 = V521049 + 1. assign V806950 = V728290. assign V082080 = V205890 + 1. assign V628398 = V301143 + 1. assign V222682 = V205890 + 1. assign V906055 = V569709. assign V487900 = V251198. assign V592240 = V957270 - 1. assign V783365 = V906055. assign V227854 = V564514 - 1. assign V728290 = V906055. assign V671337 = V906055. assign V189774 = V611354. assign V521049 = 3. assign V951870 = V444516. assign V569709 = V396584 + 1. assign V717084 = V413374 - 1. assign V576849 = V569709 - 1. assign V702372 = V126788.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V713809 = V126788 - 1. assign V462543 = V588470 - 1. assign V301143 = V783365 - 1. assign V756509 = V539044. assign V046697 = V128570. assign V396584 = V947705 + 1. assign V700346 = V480169. assign V196901 = V444141 + 1. assign V384233 = V487900 - 1. assign V444516 = V723945 - 1. assign V511387 = V196901. assign V338383 = V067326 + 1. assign V179040 = V205890. assign V425947 = V947705. assign V611354 = V385453 + 1. assign V999608 = V723945 - 1. assign V745841 = V480169 - 1. assign V877280 = V757073. assign V626742 = V731648. assign V588470 = V947705 - 1. assign V126788 = V156811. assign V213773 = V924358 - 1. assign V145817 = V798482. assign V413374 = V359528 - 1. assign V385453 = V128570. assign V402323 = V425947 - 1. assign V798482 = V756509. assign V880416 = V069201. assign V472215 = V924358. assign V455212 = V046697. assign V640081 = V359528 - 1. assign V110314 = V413821 - 1. assign V069201 = V156811. assign V444141 = V794541. assign V343848 = V385453. assign V156811 = V592240 - 1. assign V971561 = V717084 + 1. assign V462015 = V798482. assign V924358 = V462543 + 1. assign V480169 = V723945. assign V578976 = V611354 + 1. assign V539044 = V327530 + 1. assign V862137 = V671337. assign V359528 = V396584 - 1. assign V382258 = V128570. assign V128570 = V731648 - 1. assign V798112 = V564514 - 1. assign V564514 = V723945 - 1. assign V067326 = V717084. assign V757073 = V569709. assign V471841 = V578976 - 1. assign V957270 = V359528. assign V731648 = V396584 + 1. assign V251198 = V611354 + 1. assign V794541 = V359528. assign V372125 = V413374 + 1. assign V325976 = V717084 + 1. assign V918511 = V951870. assign V331539 = V745841. assign V741763 = V924358 + 1. assign V723945 = V947705. assign V327530 = V396584 - 1. assign V602002 = V444516 + 1. assign V160747 = V924358 + 1. assign V205890 = V611354. assign V334165 = V947705 - 1. assign V413821 = V741763. assign V454030 = V521049 + 1. assign V806950 = V728290. assign V082080 = V205890 + 1. assign V628398 = V301143 + 1. assign V222682 = V205890 + 1. assign V906055 = V569709. assign V487900 = V251198. assign V592240 = V957270 - 1. assign V783365 = V906055. assign V227854 = V564514 - 1. assign V728290 = V906055. assign V671337 = V906055. assign V189774 = V611354. assign V521049 = 3. assign V951870 = V444516. assign V569709 = V396584 + 1. assign V717084 = V413374 - 1. assign V576849 = V569709 - 1. assign V702372 = V126788.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV521049 = 3;\n\nFrom these direct assignment(s), we have: \nV454030 = V521049 + 1 = 3 + 1 =4;\nNo other variables can be derived from V454030;\nNo other variables can be derived from V521049;\n\nNow we have done all the calculations. Derived variables are:\nV521049 = 3;\nV454030 = 4;\n\nNow we have finished this problem. ANSWER:\nV454030\n", "role": "assistant" } ]

[ "V287861", "V021754" ]

[ { "content": "<context>\nassign V551195 = V426005 + 1. assign V002033 = V424409 - 1. assign V404984 = V105202. assign V734839 = V017109 - 1. assign V633536 = V962931 + 1. assign V391437 = V099693 + 1. assign V851845 = V298705 + 1. assign V031115 = V435646 - 1. assign V546699 = V351008. assign V637270 = V768044 - 1. assign V768044 = V551195 + 1. assign V988912 = V768044. assign V463836 = V760499. assign V414844 = V005473. assign V013410 = V391437 + 1. assign V759043 = V903346 + 1. assign V743649 = V424409. assign V287861 = 3. assign V595836 = V072410 - 1. assign V021754 = V287861. assign V029426 = V851845 + 1. assign V651474 = V039519 - 1. assign V424409 = V752225. assign V435646 = V408244 + 1. assign V017109 = V633536. assign V326633 = V595836 - 1. assign V019845 = V340885. assign V037600 = V408244 - 1. assign V395399 = V426005 - 1. assign V005473 = V425968 + 1. assign V518811 = V017109 - 1. assign V248670 = V995446 - 1. assign V098154 = V903346 + 1. assign V340885 = V039519 + 1. assign V216704 = V959020 + 1. assign V039519 = V426005. assign V685808 = V760499. assign V716565 = V761118. assign V425968 = V408244 + 1. assign V298705 = V017109. assign V903346 = V685808. assign V770001 = V039519 - 1. assign V026682 = V957871. assign V371794 = V768044 + 1. assign V099693 = V959020 + 1. assign V613801 = V424409. assign V351008 = V404984 + 1. assign V023187 = V725903. assign V761118 = V064065 + 1. assign V207456 = V957871 + 1. assign V528331 = V292947. assign V012308 = V425968 + 1. assign V973816 = V988912 + 1. assign V760499 = V752225 + 1. assign V426005 = V752225 - 1. assign V574494 = V391437 - 1. assign V573706 = V391437. assign V009786 = V546699 - 1. assign V959020 = V435646. assign V957871 = V425968 + 1. assign V072410 = V435646. assign V237110 = V752225. assign V767698 = V788785 + 1. assign V857333 = V017109. assign V292947 = V105202 - 1. assign V456825 = V518811 + 1. assign V105202 = V752225. assign V064065 = V760499 + 1. assign V406002 = V759043 + 1. assign V553262 = V538897. assign V693332 = V207456 - 1. assign V962931 = V760499. assign V274885 = V850210 - 1. assign V995446 = V760499 + 1. assign V408244 = V105202 + 1. assign V788785 = V716565. assign V880088 = V959020 - 1. assign V538897 = V962931 - 1. assign V725903 = V426005 - 1. assign V850210 = V633536. assign V719088 = V651474. assign V944320 = V959020 + 1. assign V935711 = V851845 - 1. assign V109973 = V752225. assign V776054 = V903346 + 1. assign V967326 = V064065 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V551195 = V426005 + 1. assign V002033 = V424409 - 1. assign V404984 = V105202. assign V734839 = V017109 - 1. assign V633536 = V962931 + 1. assign V391437 = V099693 + 1. assign V851845 = V298705 + 1. assign V031115 = V435646 - 1. assign V546699 = V351008. assign V637270 = V768044 - 1. assign V768044 = V551195 + 1. assign V988912 = V768044. assign V463836 = V760499. assign V414844 = V005473. assign V013410 = V391437 + 1. assign V759043 = V903346 + 1. assign V743649 = V424409. assign V287861 = 3. assign V595836 = V072410 - 1. assign V021754 = V287861. assign V029426 = V851845 + 1. assign V651474 = V039519 - 1. assign V424409 = V752225. assign V435646 = V408244 + 1. assign V017109 = V633536. assign V326633 = V595836 - 1. assign V019845 = V340885. assign V037600 = V408244 - 1. assign V395399 = V426005 - 1. assign V005473 = V425968 + 1. assign V518811 = V017109 - 1. assign V248670 = V995446 - 1. assign V098154 = V903346 + 1. assign V340885 = V039519 + 1. assign V216704 = V959020 + 1. assign V039519 = V426005. assign V685808 = V760499. assign V716565 = V761118. assign V425968 = V408244 + 1. assign V298705 = V017109. assign V903346 = V685808. assign V770001 = V039519 - 1. assign V026682 = V957871. assign V371794 = V768044 + 1. assign V099693 = V959020 + 1. assign V613801 = V424409. assign V351008 = V404984 + 1. assign V023187 = V725903. assign V761118 = V064065 + 1. assign V207456 = V957871 + 1. assign V528331 = V292947. assign V012308 = V425968 + 1. assign V973816 = V988912 + 1. assign V760499 = V752225 + 1. assign V426005 = V752225 - 1. assign V574494 = V391437 - 1. assign V573706 = V391437. assign V009786 = V546699 - 1. assign V959020 = V435646. assign V957871 = V425968 + 1. assign V072410 = V435646. assign V237110 = V752225. assign V767698 = V788785 + 1. assign V857333 = V017109. assign V292947 = V105202 - 1. assign V456825 = V518811 + 1. assign V105202 = V752225. assign V064065 = V760499 + 1. assign V406002 = V759043 + 1. assign V553262 = V538897. assign V693332 = V207456 - 1. assign V962931 = V760499. assign V274885 = V850210 - 1. assign V995446 = V760499 + 1. assign V408244 = V105202 + 1. assign V788785 = V716565. assign V880088 = V959020 - 1. assign V538897 = V962931 - 1. assign V725903 = V426005 - 1. assign V850210 = V633536. assign V719088 = V651474. assign V944320 = V959020 + 1. assign V935711 = V851845 - 1. assign V109973 = V752225. assign V776054 = V903346 + 1. assign V967326 = V064065 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV287861 = 3;\n\nFrom these direct assignment(s), we have: \nV021754 = V287861 = 3;\nNo other variables can be derived from V021754;\nNo other variables can be derived from V287861;\n\nNow we have done all the calculations. Derived variables are:\nV287861 = 3;\nV021754 = 3;\n\nNow we have finished this problem. ANSWER:\nV287861, V021754\n", "role": "assistant" } ]

[ "V812074" ]

[ { "content": "<context>\nassign V343669 = V328150 + 1. assign V532899 = V443900 - 1. assign V682070 = V387703 + 1. assign V464941 = V750922. assign V199018 = V318480. assign V809132 = V329105 - 1. assign V209410 = V103662. assign V268284 = V410926 - 1. assign V103078 = V350029. assign V024931 = V318480 - 1. assign V404570 = V874774 - 1. assign V410926 = V117340 - 1. assign V584213 = V015207 - 1. assign V884825 = V792913. assign V387703 = V691706 + 1. assign V955558 = V599003. assign V328150 = V750922 - 1. assign V655456 = V343669 - 1. assign V544393 = V792913 - 1. assign V679441 = V809132 + 1. assign V750922 = V329105. assign V886371 = V404570 - 1. assign V628506 = V826222 - 1. assign V190005 = V199018 + 1. assign V874774 = V265100 + 1. assign V015207 = V329105. assign V443900 = V117340. assign V957538 = V103662 + 1. assign V557521 = V812074 + 1. assign V276889 = V507146. assign V068470 = V174228 - 1. assign V749046 = V329105. assign V149685 = V544393 + 1. assign V850342 = V750922 + 1. assign V279686 = V636196 + 1. assign V760510 = V759696. assign V731274 = V792913 + 1. assign V424413 = V850342 - 1. assign V507146 = V691706. assign V247539 = V809132 - 1. assign V525671 = V799242 + 1. assign V805494 = V986921 + 1. assign V654158 = V464941 - 1. assign V895770 = V279686. assign V799242 = V318480. assign V103662 = V328150. assign V911741 = V387703. assign V174228 = V015207 - 1. assign V547236 = V318480 - 1. assign V350029 = V750922. assign V792913 = V507146 - 1. assign V613458 = V691706. assign V759696 = V428879 - 1. assign V165379 = V256084 + 1. assign V473793 = V265100 - 1. assign V812074 = 10. assign V265100 = V749046. assign V342841 = V328150 + 1. assign V549330 = V464941 + 1. assign V728885 = V428879. assign V826222 = V750922. assign V512978 = V279686. assign V318480 = V809132 - 1. assign V282641 = V874774. assign V979040 = V428879. assign V117340 = V792913. assign V880088 = V387703 - 1. assign V986921 = V749046 + 1. assign V681582 = V464941. assign V256084 = V792913 + 1. assign V250076 = V547236 + 1. assign V329105 = V691706 + 1. assign V599003 = V015207 + 1. assign V634483 = V549330 - 1. assign V578294 = V544393. assign V636196 = V691706 - 1. assign V245926 = V199018. assign V463570 = V103662 - 1. assign V523164 = V387703. assign V723249 = V463570 - 1. assign V518097 = V428879 + 1. assign V428879 = V507146. assign V605000 = V276889 - 1. assign V427308 = V547236 + 1. assign V282919 = V015207 - 1. assign V225781 = V342841.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V343669 = V328150 + 1. assign V532899 = V443900 - 1. assign V682070 = V387703 + 1. assign V464941 = V750922. assign V199018 = V318480. assign V809132 = V329105 - 1. assign V209410 = V103662. assign V268284 = V410926 - 1. assign V103078 = V350029. assign V024931 = V318480 - 1. assign V404570 = V874774 - 1. assign V410926 = V117340 - 1. assign V584213 = V015207 - 1. assign V884825 = V792913. assign V387703 = V691706 + 1. assign V955558 = V599003. assign V328150 = V750922 - 1. assign V655456 = V343669 - 1. assign V544393 = V792913 - 1. assign V679441 = V809132 + 1. assign V750922 = V329105. assign V886371 = V404570 - 1. assign V628506 = V826222 - 1. assign V190005 = V199018 + 1. assign V874774 = V265100 + 1. assign V015207 = V329105. assign V443900 = V117340. assign V957538 = V103662 + 1. assign V557521 = V812074 + 1. assign V276889 = V507146. assign V068470 = V174228 - 1. assign V749046 = V329105. assign V149685 = V544393 + 1. assign V850342 = V750922 + 1. assign V279686 = V636196 + 1. assign V760510 = V759696. assign V731274 = V792913 + 1. assign V424413 = V850342 - 1. assign V507146 = V691706. assign V247539 = V809132 - 1. assign V525671 = V799242 + 1. assign V805494 = V986921 + 1. assign V654158 = V464941 - 1. assign V895770 = V279686. assign V799242 = V318480. assign V103662 = V328150. assign V911741 = V387703. assign V174228 = V015207 - 1. assign V547236 = V318480 - 1. assign V350029 = V750922. assign V792913 = V507146 - 1. assign V613458 = V691706. assign V759696 = V428879 - 1. assign V165379 = V256084 + 1. assign V473793 = V265100 - 1. assign V812074 = 10. assign V265100 = V749046. assign V342841 = V328150 + 1. assign V549330 = V464941 + 1. assign V728885 = V428879. assign V826222 = V750922. assign V512978 = V279686. assign V318480 = V809132 - 1. assign V282641 = V874774. assign V979040 = V428879. assign V117340 = V792913. assign V880088 = V387703 - 1. assign V986921 = V749046 + 1. assign V681582 = V464941. assign V256084 = V792913 + 1. assign V250076 = V547236 + 1. assign V329105 = V691706 + 1. assign V599003 = V015207 + 1. assign V634483 = V549330 - 1. assign V578294 = V544393. assign V636196 = V691706 - 1. assign V245926 = V199018. assign V463570 = V103662 - 1. assign V523164 = V387703. assign V723249 = V463570 - 1. assign V518097 = V428879 + 1. assign V428879 = V507146. assign V605000 = V276889 - 1. assign V427308 = V547236 + 1. assign V282919 = V015207 - 1. assign V225781 = V342841.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV812074 = 10;\n\nFrom these direct assignment(s), we have: \nV557521 = V812074 + 1 = 10 + 1 =11;\nNo other variables can be derived from V557521;\nNo other variables can be derived from V812074;\n\nNow we have done all the calculations. Derived variables are:\nV812074 = 10;\nV557521 = 11;\n\nNow we have finished this problem. ANSWER:\nV812074\n", "role": "assistant" } ]

[ "V435795" ]

[ { "content": "<context>\nassign V300166 = V650180 + 1. assign V214446 = V534921. assign V194000 = V871277. assign V725206 = V673657 + 1. assign V379365 = V435795 - 1. assign V519358 = V024574 + 1. assign V368495 = V706735. assign V553788 = V087950 + 1. assign V462653 = V725206 + 1. assign V690754 = V407762 - 1. assign V208457 = V792659 - 1. assign V877451 = V264897. assign V196276 = V126718 + 1. assign V087950 = V534921 - 1. assign V339573 = V889030 - 1. assign V871277 = V519358 + 1. assign V106311 = V671867 - 1. assign V794848 = V126394 + 1. assign V809679 = V696540 - 1. assign V650180 = V998429. assign V862805 = V244076. assign V297301 = V862805 + 1. assign V752637 = V208457 + 1. assign V555744 = V673657 + 1. assign V335677 = V889030. assign V486171 = V300166 - 1. assign V671867 = V998429 + 1. assign V024574 = V214446 + 1. assign V935791 = V752637. assign V244076 = V214446. assign V432037 = V725206 - 1. assign V226635 = V768840 + 1. assign V743659 = V555744 - 1. assign V130627 = V546578 - 1. assign V040928 = V873387 + 1. assign V129439 = V834034 - 1. assign V839208 = V728210 + 1. assign V673657 = V214446 - 1. assign V453063 = V519358. assign V468967 = V824981. assign V583022 = V671867 - 1. assign V073189 = V997174 - 1. assign V353619 = V839208 + 1. assign V834034 = V405414. assign V728210 = V534921 + 1. assign V126718 = V673657. assign V546578 = V069545 - 1. assign V696540 = V706735. assign V562333 = V214446 - 1. assign V126394 = V775318 - 1. assign V982037 = V671867. assign V417381 = V792659 - 1. assign V936353 = V673657 + 1. assign V149467 = V671867 - 1. assign V330201 = V862805 - 1. assign V768840 = V671867 - 1. assign V603896 = V706735 - 1. assign V998429 = V534921 - 1. assign V918264 = V405414. assign V223732 = V583022. assign V775318 = V244076. assign V846362 = V462653. assign V069545 = V824981 - 1. assign V792659 = V706735. assign V873387 = V244497 + 1. assign V362183 = V997174. assign V047605 = V871277 + 1. assign V496685 = V824981 + 1. assign V706735 = V824981 - 1. assign V820546 = V650180 + 1. assign V407762 = V671867 - 1. assign V997174 = V432037 - 1. assign V523219 = V244076 + 1. assign V405414 = V998429. assign V889030 = V024574 + 1. assign V014627 = V998429 - 1. assign V824981 = V998429 + 1. assign V652242 = V214446 - 1. assign V244497 = V673657 + 1. assign V264897 = V534921 + 1. assign V289481 = V706735 + 1. assign V883696 = V809679 + 1. assign V009565 = V671867 - 1. assign V435795 = 10. assign V656274 = V650180 + 1. assign V065396 = V743659 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V300166 = V650180 + 1. assign V214446 = V534921. assign V194000 = V871277. assign V725206 = V673657 + 1. assign V379365 = V435795 - 1. assign V519358 = V024574 + 1. assign V368495 = V706735. assign V553788 = V087950 + 1. assign V462653 = V725206 + 1. assign V690754 = V407762 - 1. assign V208457 = V792659 - 1. assign V877451 = V264897. assign V196276 = V126718 + 1. assign V087950 = V534921 - 1. assign V339573 = V889030 - 1. assign V871277 = V519358 + 1. assign V106311 = V671867 - 1. assign V794848 = V126394 + 1. assign V809679 = V696540 - 1. assign V650180 = V998429. assign V862805 = V244076. assign V297301 = V862805 + 1. assign V752637 = V208457 + 1. assign V555744 = V673657 + 1. assign V335677 = V889030. assign V486171 = V300166 - 1. assign V671867 = V998429 + 1. assign V024574 = V214446 + 1. assign V935791 = V752637. assign V244076 = V214446. assign V432037 = V725206 - 1. assign V226635 = V768840 + 1. assign V743659 = V555744 - 1. assign V130627 = V546578 - 1. assign V040928 = V873387 + 1. assign V129439 = V834034 - 1. assign V839208 = V728210 + 1. assign V673657 = V214446 - 1. assign V453063 = V519358. assign V468967 = V824981. assign V583022 = V671867 - 1. assign V073189 = V997174 - 1. assign V353619 = V839208 + 1. assign V834034 = V405414. assign V728210 = V534921 + 1. assign V126718 = V673657. assign V546578 = V069545 - 1. assign V696540 = V706735. assign V562333 = V214446 - 1. assign V126394 = V775318 - 1. assign V982037 = V671867. assign V417381 = V792659 - 1. assign V936353 = V673657 + 1. assign V149467 = V671867 - 1. assign V330201 = V862805 - 1. assign V768840 = V671867 - 1. assign V603896 = V706735 - 1. assign V998429 = V534921 - 1. assign V918264 = V405414. assign V223732 = V583022. assign V775318 = V244076. assign V846362 = V462653. assign V069545 = V824981 - 1. assign V792659 = V706735. assign V873387 = V244497 + 1. assign V362183 = V997174. assign V047605 = V871277 + 1. assign V496685 = V824981 + 1. assign V706735 = V824981 - 1. assign V820546 = V650180 + 1. assign V407762 = V671867 - 1. assign V997174 = V432037 - 1. assign V523219 = V244076 + 1. assign V405414 = V998429. assign V889030 = V024574 + 1. assign V014627 = V998429 - 1. assign V824981 = V998429 + 1. assign V652242 = V214446 - 1. assign V244497 = V673657 + 1. assign V264897 = V534921 + 1. assign V289481 = V706735 + 1. assign V883696 = V809679 + 1. assign V009565 = V671867 - 1. assign V435795 = 10. assign V656274 = V650180 + 1. assign V065396 = V743659 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV435795 = 10;\n\nFrom these direct assignment(s), we have: \nV379365 = V435795 - 1 = 10 - 1 =9;\nNo other variables can be derived from V379365;\nNo other variables can be derived from V435795;\n\nNow we have done all the calculations. Derived variables are:\nV435795 = 10;\nV379365 = 9;\n\nNow we have finished this problem. ANSWER:\nV435795\n", "role": "assistant" } ]

[ "V290004" ]

[ { "content": "<context>\nassign V479971 = V779925 + 1. assign V318251 = V606834 + 1. assign V300296 = V235381 + 1. assign V517643 = V318251. assign V320499 = V038614 - 1. assign V013365 = V894604. assign V730635 = V122626 + 1. assign V312355 = V730635. assign V853443 = V060200. assign V122626 = V895146 + 1. assign V796398 = V038614 - 1. assign V346813 = V013365 - 1. assign V076397 = V010325 + 1. assign V475065 = V504107 - 1. assign V718475 = V290004 + 1. assign V512758 = V147476. assign V211143 = V519601 - 1. assign V786245 = V010325 + 1. assign V027242 = V346813 - 1. assign V313937 = V806301. assign V585078 = V677232 + 1. assign V606834 = V730635 + 1. assign V790034 = V147476 - 1. assign V832954 = V585078 + 1. assign V067931 = V147476 - 1. assign V063593 = V677232 - 1. assign V329826 = V010325 + 1. assign V519601 = V147476 - 1. assign V466102 = V517643 - 1. assign V288874 = V171574. assign V610040 = V006899 - 1. assign V147476 = V320499 + 1. assign V779925 = V796398 - 1. assign V601554 = V585078 + 1. assign V433441 = V210209 + 1. assign V748521 = V648277 - 1. assign V010325 = V038614 - 1. assign V341427 = V786245. assign V157288 = V010325 + 1. assign V210209 = V010325 + 1. assign V866629 = V313937 + 1. assign V695904 = V730635 - 1. assign V886201 = V677232 - 1. assign V884134 = V554825 + 1. assign V895146 = V038614 - 1. assign V648277 = V730635. assign V806301 = V790034. assign V940111 = V374281 + 1. assign V171574 = V320499. assign V797113 = V519601. assign V497710 = V060200 + 1. assign V474840 = V163747 - 1. assign V483299 = V519601 - 1. assign V723599 = V585078. assign V173390 = V374281. assign V072920 = V878313 + 1. assign V083052 = V320499 + 1. assign V554825 = V951413 - 1. assign V352531 = V006899 + 1. assign V060200 = V329826 + 1. assign V663308 = V610040 + 1. assign V955592 = V512758 - 1. assign V374281 = V790034 + 1. assign V677232 = V010325 + 1. assign V951413 = V320499 - 1. assign V006899 = V318251. assign V504107 = V083052 - 1. assign V234715 = V832954. assign V420677 = V730635 + 1. assign V450337 = V895146 - 1. assign V979027 = V726395. assign V246510 = V076397. assign V584192 = V312355. assign V409429 = V797113 - 1. assign V574258 = V210209. assign V290004 = 1. assign V284228 = V554825. assign V094154 = V797113. assign V909266 = V450337. assign V894604 = V796398. assign V235381 = V346813 + 1. assign V878313 = V853443 - 1. assign V163747 = V010325 - 1. assign V639382 = V083052. assign V726395 = V450337 - 1. assign V827014 = V677232 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V479971 = V779925 + 1. assign V318251 = V606834 + 1. assign V300296 = V235381 + 1. assign V517643 = V318251. assign V320499 = V038614 - 1. assign V013365 = V894604. assign V730635 = V122626 + 1. assign V312355 = V730635. assign V853443 = V060200. assign V122626 = V895146 + 1. assign V796398 = V038614 - 1. assign V346813 = V013365 - 1. assign V076397 = V010325 + 1. assign V475065 = V504107 - 1. assign V718475 = V290004 + 1. assign V512758 = V147476. assign V211143 = V519601 - 1. assign V786245 = V010325 + 1. assign V027242 = V346813 - 1. assign V313937 = V806301. assign V585078 = V677232 + 1. assign V606834 = V730635 + 1. assign V790034 = V147476 - 1. assign V832954 = V585078 + 1. assign V067931 = V147476 - 1. assign V063593 = V677232 - 1. assign V329826 = V010325 + 1. assign V519601 = V147476 - 1. assign V466102 = V517643 - 1. assign V288874 = V171574. assign V610040 = V006899 - 1. assign V147476 = V320499 + 1. assign V779925 = V796398 - 1. assign V601554 = V585078 + 1. assign V433441 = V210209 + 1. assign V748521 = V648277 - 1. assign V010325 = V038614 - 1. assign V341427 = V786245. assign V157288 = V010325 + 1. assign V210209 = V010325 + 1. assign V866629 = V313937 + 1. assign V695904 = V730635 - 1. assign V886201 = V677232 - 1. assign V884134 = V554825 + 1. assign V895146 = V038614 - 1. assign V648277 = V730635. assign V806301 = V790034. assign V940111 = V374281 + 1. assign V171574 = V320499. assign V797113 = V519601. assign V497710 = V060200 + 1. assign V474840 = V163747 - 1. assign V483299 = V519601 - 1. assign V723599 = V585078. assign V173390 = V374281. assign V072920 = V878313 + 1. assign V083052 = V320499 + 1. assign V554825 = V951413 - 1. assign V352531 = V006899 + 1. assign V060200 = V329826 + 1. assign V663308 = V610040 + 1. assign V955592 = V512758 - 1. assign V374281 = V790034 + 1. assign V677232 = V010325 + 1. assign V951413 = V320499 - 1. assign V006899 = V318251. assign V504107 = V083052 - 1. assign V234715 = V832954. assign V420677 = V730635 + 1. assign V450337 = V895146 - 1. assign V979027 = V726395. assign V246510 = V076397. assign V584192 = V312355. assign V409429 = V797113 - 1. assign V574258 = V210209. assign V290004 = 1. assign V284228 = V554825. assign V094154 = V797113. assign V909266 = V450337. assign V894604 = V796398. assign V235381 = V346813 + 1. assign V878313 = V853443 - 1. assign V163747 = V010325 - 1. assign V639382 = V083052. assign V726395 = V450337 - 1. assign V827014 = V677232 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV290004 = 1;\n\nFrom these direct assignment(s), we have: \nV718475 = V290004 + 1 = 1 + 1 =2;\nNo other variables can be derived from V718475;\nNo other variables can be derived from V290004;\n\nNow we have done all the calculations. Derived variables are:\nV290004 = 1;\nV718475 = 2;\n\nNow we have finished this problem. ANSWER:\nV290004\n", "role": "assistant" } ]

[ "V622500" ]

[ { "content": "<context>\nassign V497207 = V148988. assign V259873 = V101791. assign V288189 = V382114. assign V082563 = V561092 + 1. assign V752249 = V409723 - 1. assign V832384 = V956140 + 1. assign V024363 = V470079. assign V270322 = V780114 + 1. assign V355822 = V380344 + 1. assign V989090 = V487722 - 1. assign V647623 = V586016. assign V435557 = V450135 - 1. assign V053456 = V919652 - 1. assign V488507 = V927949. assign V530199 = V956792 + 1. assign V622500 = V270551 - 1. assign V353553 = V448722. assign V258489 = V082563 + 1. assign V528450 = V915534. assign V776541 = V024363 + 1. assign V501932 = V377216 - 1. assign V555993 = V443630 - 1. assign V448722 = V708174. assign V547762 = V108911. assign V856125 = V024363. assign V432633 = V380344. assign V588198 = V003493 - 1. assign V443630 = V470079 + 1. assign V956792 = V382114 - 1. assign V829034 = V377216. assign V787920 = V450135 + 1. assign V853562 = V555993 - 1. assign V802759 = V885341 + 1. assign V003493 = V409723. assign V627885 = V501932. assign V757975 = V409723. assign V430396 = V853562. assign V148988 = V885341. assign V953381 = V450135 + 1. assign V487722 = V024363 - 1. assign V085343 = V787920 + 1. assign V101791 = V288189 - 1. assign V270551 = 4. assign V780114 = V586016 - 1. assign V119399 = V609941 - 1. assign V622989 = V703277 + 1. assign V734360 = V053456 - 1. assign V407860 = V708174 + 1. assign V450135 = V708174. assign V186799 = V409723 - 1. assign V688063 = V119399 - 1. assign V267314 = V927949. assign V713826 = V024363. assign V561092 = V382114 - 1. assign V380344 = V832384 - 1. assign V708174 = V956792. assign V956140 = V382114. assign V217938 = V856125. assign V377216 = V919652 + 1. assign V609941 = V085343. assign V808456 = V089929. assign V530939 = V956792 - 1. assign V409723 = V382114 + 1. assign V703277 = V279990 - 1. assign V927949 = V528450 + 1. assign V915534 = V217938 - 1. assign V304132 = V089929. assign V885341 = V443630 - 1. assign V836468 = V448722 - 1. assign V836621 = V355822 - 1. assign V430451 = V409723 + 1. assign V180102 = V186799 - 1. assign V270371 = V353553. assign V279990 = V956140. assign V586016 = V708174 + 1. assign V919652 = V108911. assign V470166 = V555993. assign V713574 = V024363 - 1. assign V689215 = V956140 + 1. assign V366523 = V380344 - 1. assign V530497 = V622989. assign V324528 = V470079. assign V323159 = V609941 - 1. assign V089929 = V409723 - 1. assign V108911 = V382114 + 1. assign V470079 = V708174 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V497207 = V148988. assign V259873 = V101791. assign V288189 = V382114. assign V082563 = V561092 + 1. assign V752249 = V409723 - 1. assign V832384 = V956140 + 1. assign V024363 = V470079. assign V270322 = V780114 + 1. assign V355822 = V380344 + 1. assign V989090 = V487722 - 1. assign V647623 = V586016. assign V435557 = V450135 - 1. assign V053456 = V919652 - 1. assign V488507 = V927949. assign V530199 = V956792 + 1. assign V622500 = V270551 - 1. assign V353553 = V448722. assign V258489 = V082563 + 1. assign V528450 = V915534. assign V776541 = V024363 + 1. assign V501932 = V377216 - 1. assign V555993 = V443630 - 1. assign V448722 = V708174. assign V547762 = V108911. assign V856125 = V024363. assign V432633 = V380344. assign V588198 = V003493 - 1. assign V443630 = V470079 + 1. assign V956792 = V382114 - 1. assign V829034 = V377216. assign V787920 = V450135 + 1. assign V853562 = V555993 - 1. assign V802759 = V885341 + 1. assign V003493 = V409723. assign V627885 = V501932. assign V757975 = V409723. assign V430396 = V853562. assign V148988 = V885341. assign V953381 = V450135 + 1. assign V487722 = V024363 - 1. assign V085343 = V787920 + 1. assign V101791 = V288189 - 1. assign V270551 = 4. assign V780114 = V586016 - 1. assign V119399 = V609941 - 1. assign V622989 = V703277 + 1. assign V734360 = V053456 - 1. assign V407860 = V708174 + 1. assign V450135 = V708174. assign V186799 = V409723 - 1. assign V688063 = V119399 - 1. assign V267314 = V927949. assign V713826 = V024363. assign V561092 = V382114 - 1. assign V380344 = V832384 - 1. assign V708174 = V956792. assign V956140 = V382114. assign V217938 = V856125. assign V377216 = V919652 + 1. assign V609941 = V085343. assign V808456 = V089929. assign V530939 = V956792 - 1. assign V409723 = V382114 + 1. assign V703277 = V279990 - 1. assign V927949 = V528450 + 1. assign V915534 = V217938 - 1. assign V304132 = V089929. assign V885341 = V443630 - 1. assign V836468 = V448722 - 1. assign V836621 = V355822 - 1. assign V430451 = V409723 + 1. assign V180102 = V186799 - 1. assign V270371 = V353553. assign V279990 = V956140. assign V586016 = V708174 + 1. assign V919652 = V108911. assign V470166 = V555993. assign V713574 = V024363 - 1. assign V689215 = V956140 + 1. assign V366523 = V380344 - 1. assign V530497 = V622989. assign V324528 = V470079. assign V323159 = V609941 - 1. assign V089929 = V409723 - 1. assign V108911 = V382114 + 1. assign V470079 = V708174 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV270551 = 4;\n\nFrom these direct assignment(s), we have: \nV622500 = V270551 - 1 = 4 - 1 =3;\nNo other variables can be derived from V622500;\nNo other variables can be derived from V270551;\n\nNow we have done all the calculations. Derived variables are:\nV270551 = 4;\nV622500 = 3;\n\nNow we have finished this problem. ANSWER:\nV622500\n", "role": "assistant" } ]

[ "V362917" ]

[ { "content": "<context>\nassign V358350 = V451728. assign V362917 = 5. assign V245021 = V829111 + 1. assign V083134 = V084099 + 1. assign V346624 = V561629 - 1. assign V722474 = V381524 + 1. assign V512919 = V850594 + 1. assign V736855 = V346624 - 1. assign V189420 = V979197 + 1. assign V695605 = V361002 + 1. assign V949320 = V729182. assign V427145 = V168025 + 1. assign V279663 = V906227 + 1. assign V463093 = V143649 + 1. assign V273461 = V673293 + 1. assign V618760 = V829111 + 1. assign V168025 = V539506 + 1. assign V255881 = V979197 - 1. assign V065883 = V047364 - 1. assign V070733 = V483154 + 1. assign V451728 = V103481 - 1. assign V522050 = V143649 + 1. assign V442229 = V979197 + 1. assign V174187 = V550370 + 1. assign V381524 = V522050 + 1. assign V936331 = V730017. assign V829111 = V730017 + 1. assign V762588 = V362917 - 1. assign V276815 = V796991. assign V732920 = V569759 + 1. assign V443217 = V843857 - 1. assign V227762 = V890096 + 1. assign V084099 = V388268 - 1. assign V743730 = V227762. assign V027191 = V143564 - 1. assign V047364 = V650190 + 1. assign V258897 = V463093 + 1. assign V450670 = V757637 - 1. assign V539506 = V979197. assign V433294 = V569759. assign V757637 = V143649 + 1. assign V361002 = V757637 - 1. assign V290977 = V843857. assign V977610 = V227762 - 1. assign V650190 = V388268. assign V843857 = V730017 + 1. assign V673293 = V561629. assign V561629 = V244670 - 1. assign V979197 = V192864 + 1. assign V460849 = V890096 - 1. assign V906227 = V192864. assign V760929 = V443217. assign V519781 = V361002 - 1. assign V126093 = V979197 + 1. assign V060018 = V843857. assign V475605 = V561629 + 1. assign V945795 = V463093. assign V262240 = V996846 + 1. assign V562612 = V192864 + 1. assign V730017 = V103481 + 1. assign V388268 = V451728 + 1. assign V770450 = V550370. assign V095572 = V083134 - 1. assign V956241 = V483154. assign V483154 = V522050 + 1. assign V143649 = V276815. assign V850594 = V381524 + 1. assign V090828 = V796991. assign V725137 = V483154 + 1. assign V634549 = V095572 - 1. assign V523009 = V673293 - 1. assign V477834 = V722474 + 1. assign V569759 = V483154 + 1. assign V103481 = V244670 + 1. assign V550370 = V722474 + 1. assign V143564 = V757637. assign V582260 = V227762 - 1. assign V192864 = V103481 - 1. assign V912164 = V095572. assign V829834 = V090828 - 1. assign V159641 = V027191. assign V729182 = V143649 - 1. assign V796991 = V244670 + 1. assign V038559 = V103481 - 1. assign V996846 = V451728 + 1. assign V890096 = V730017 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V358350 = V451728. assign V362917 = 5. assign V245021 = V829111 + 1. assign V083134 = V084099 + 1. assign V346624 = V561629 - 1. assign V722474 = V381524 + 1. assign V512919 = V850594 + 1. assign V736855 = V346624 - 1. assign V189420 = V979197 + 1. assign V695605 = V361002 + 1. assign V949320 = V729182. assign V427145 = V168025 + 1. assign V279663 = V906227 + 1. assign V463093 = V143649 + 1. assign V273461 = V673293 + 1. assign V618760 = V829111 + 1. assign V168025 = V539506 + 1. assign V255881 = V979197 - 1. assign V065883 = V047364 - 1. assign V070733 = V483154 + 1. assign V451728 = V103481 - 1. assign V522050 = V143649 + 1. assign V442229 = V979197 + 1. assign V174187 = V550370 + 1. assign V381524 = V522050 + 1. assign V936331 = V730017. assign V829111 = V730017 + 1. assign V762588 = V362917 - 1. assign V276815 = V796991. assign V732920 = V569759 + 1. assign V443217 = V843857 - 1. assign V227762 = V890096 + 1. assign V084099 = V388268 - 1. assign V743730 = V227762. assign V027191 = V143564 - 1. assign V047364 = V650190 + 1. assign V258897 = V463093 + 1. assign V450670 = V757637 - 1. assign V539506 = V979197. assign V433294 = V569759. assign V757637 = V143649 + 1. assign V361002 = V757637 - 1. assign V290977 = V843857. assign V977610 = V227762 - 1. assign V650190 = V388268. assign V843857 = V730017 + 1. assign V673293 = V561629. assign V561629 = V244670 - 1. assign V979197 = V192864 + 1. assign V460849 = V890096 - 1. assign V906227 = V192864. assign V760929 = V443217. assign V519781 = V361002 - 1. assign V126093 = V979197 + 1. assign V060018 = V843857. assign V475605 = V561629 + 1. assign V945795 = V463093. assign V262240 = V996846 + 1. assign V562612 = V192864 + 1. assign V730017 = V103481 + 1. assign V388268 = V451728 + 1. assign V770450 = V550370. assign V095572 = V083134 - 1. assign V956241 = V483154. assign V483154 = V522050 + 1. assign V143649 = V276815. assign V850594 = V381524 + 1. assign V090828 = V796991. assign V725137 = V483154 + 1. assign V634549 = V095572 - 1. assign V523009 = V673293 - 1. assign V477834 = V722474 + 1. assign V569759 = V483154 + 1. assign V103481 = V244670 + 1. assign V550370 = V722474 + 1. assign V143564 = V757637. assign V582260 = V227762 - 1. assign V192864 = V103481 - 1. assign V912164 = V095572. assign V829834 = V090828 - 1. assign V159641 = V027191. assign V729182 = V143649 - 1. assign V796991 = V244670 + 1. assign V038559 = V103481 - 1. assign V996846 = V451728 + 1. assign V890096 = V730017 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV362917 = 5;\n\nFrom these direct assignment(s), we have: \nV762588 = V362917 - 1 = 5 - 1 =4;\nNo other variables can be derived from V762588;\nNo other variables can be derived from V362917;\n\nNow we have done all the calculations. Derived variables are:\nV362917 = 5;\nV762588 = 4;\n\nNow we have finished this problem. ANSWER:\nV362917\n", "role": "assistant" } ]

[ "V964441", "V033067" ]

[ { "content": "<context>\nassign V754839 = V201727 - 1. assign V493274 = V201727 + 1. assign V365935 = V827421 - 1. assign V330629 = V827421 + 1. assign V581095 = V365935 - 1. assign V109990 = V647153. assign V141830 = V540628 - 1. assign V964789 = V829749. assign V369869 = V491267. assign V451751 = V493274 + 1. assign V004011 = V827421 + 1. assign V391613 = V546006 + 1. assign V823961 = V546006. assign V497667 = V088013. assign V278806 = V497667. assign V901301 = V762445 + 1. assign V201727 = V330629 - 1. assign V565527 = V654941. assign V632404 = V544426 - 1. assign V177998 = V391613 + 1. assign V470889 = V827421 - 1. assign V302845 = V540628 + 1. assign V939258 = V713531 - 1. assign V857936 = V867962. assign V827421 = V244971. assign V540628 = V823961. assign V204636 = V546006. assign V947198 = V885154. assign V350818 = V360497. assign V088013 = V325455 + 1. assign V033067 = V964441. assign V596968 = V310148. assign V046409 = V210372 + 1. assign V867962 = V211783 - 1. assign V546006 = V211783. assign V086251 = V325455 + 1. assign V920442 = V211783 - 1. assign V647153 = V046409 - 1. assign V157533 = V201727 - 1. assign V491267 = V964789 + 1. assign V506168 = V754839. assign V769113 = V885154 - 1. assign V763050 = V211783 - 1. assign V435844 = V086251 - 1. assign V409508 = V244971 + 1. assign V763313 = V596968 + 1. assign V976830 = V920442 - 1. assign V773605 = V976830 + 1. assign V024239 = V325455. assign V055894 = V004011. assign V544426 = V834638 - 1. assign V066554 = V055894 - 1. assign V310148 = V211783 - 1. assign V471299 = V581095. assign V130965 = V734219 - 1. assign V713531 = V211783 + 1. assign V398653 = V827421 + 1. assign V504271 = V365935 + 1. assign V808144 = V066554 - 1. assign V360497 = V222426 + 1. assign V654941 = V829749 + 1. assign V964441 = 3. assign V617237 = V325455 + 1. assign V923251 = V829749. assign V734219 = V187452 + 1. assign V210372 = V829749. assign V634507 = V829749 + 1. assign V222426 = V211783. assign V715000 = V187452. assign V325455 = V330629. assign V564742 = V369869. assign V221495 = V244971 + 1. assign V177273 = V350818. assign V889828 = V546006 + 1. assign V987841 = V497667. assign V968467 = V885154 + 1. assign V834638 = V310148. assign V187452 = V823961. assign V885154 = V634507. assign V244971 = V920442 - 1. assign V789124 = V055894 - 1. assign V211783 = V829749. assign V337008 = V987841. assign V660935 = V834638 - 1. assign V762445 = V330629 - 1. assign V221880 = V130965 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V754839 = V201727 - 1. assign V493274 = V201727 + 1. assign V365935 = V827421 - 1. assign V330629 = V827421 + 1. assign V581095 = V365935 - 1. assign V109990 = V647153. assign V141830 = V540628 - 1. assign V964789 = V829749. assign V369869 = V491267. assign V451751 = V493274 + 1. assign V004011 = V827421 + 1. assign V391613 = V546006 + 1. assign V823961 = V546006. assign V497667 = V088013. assign V278806 = V497667. assign V901301 = V762445 + 1. assign V201727 = V330629 - 1. assign V565527 = V654941. assign V632404 = V544426 - 1. assign V177998 = V391613 + 1. assign V470889 = V827421 - 1. assign V302845 = V540628 + 1. assign V939258 = V713531 - 1. assign V857936 = V867962. assign V827421 = V244971. assign V540628 = V823961. assign V204636 = V546006. assign V947198 = V885154. assign V350818 = V360497. assign V088013 = V325455 + 1. assign V033067 = V964441. assign V596968 = V310148. assign V046409 = V210372 + 1. assign V867962 = V211783 - 1. assign V546006 = V211783. assign V086251 = V325455 + 1. assign V920442 = V211783 - 1. assign V647153 = V046409 - 1. assign V157533 = V201727 - 1. assign V491267 = V964789 + 1. assign V506168 = V754839. assign V769113 = V885154 - 1. assign V763050 = V211783 - 1. assign V435844 = V086251 - 1. assign V409508 = V244971 + 1. assign V763313 = V596968 + 1. assign V976830 = V920442 - 1. assign V773605 = V976830 + 1. assign V024239 = V325455. assign V055894 = V004011. assign V544426 = V834638 - 1. assign V066554 = V055894 - 1. assign V310148 = V211783 - 1. assign V471299 = V581095. assign V130965 = V734219 - 1. assign V713531 = V211783 + 1. assign V398653 = V827421 + 1. assign V504271 = V365935 + 1. assign V808144 = V066554 - 1. assign V360497 = V222426 + 1. assign V654941 = V829749 + 1. assign V964441 = 3. assign V617237 = V325455 + 1. assign V923251 = V829749. assign V734219 = V187452 + 1. assign V210372 = V829749. assign V634507 = V829749 + 1. assign V222426 = V211783. assign V715000 = V187452. assign V325455 = V330629. assign V564742 = V369869. assign V221495 = V244971 + 1. assign V177273 = V350818. assign V889828 = V546006 + 1. assign V987841 = V497667. assign V968467 = V885154 + 1. assign V834638 = V310148. assign V187452 = V823961. assign V885154 = V634507. assign V244971 = V920442 - 1. assign V789124 = V055894 - 1. assign V211783 = V829749. assign V337008 = V987841. assign V660935 = V834638 - 1. assign V762445 = V330629 - 1. assign V221880 = V130965 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV964441 = 3;\n\nFrom these direct assignment(s), we have: \nV033067 = V964441 = 3;\nNo other variables can be derived from V033067;\nNo other variables can be derived from V964441;\n\nNow we have done all the calculations. Derived variables are:\nV964441 = 3;\nV033067 = 3;\n\nNow we have finished this problem. ANSWER:\nV964441, V033067\n", "role": "assistant" } ]

[ "V798734" ]

[ { "content": "<context>\nassign V534487 = V081336 + 1. assign V289498 = V843284 + 1. assign V582385 = V846842 + 1. assign V694094 = V303290 - 1. assign V113883 = V163251 - 1. assign V962256 = V186087 + 1. assign V708163 = V696676. assign V520090 = V520116. assign V059637 = V922600 + 1. assign V387943 = V781184 - 1. assign V846842 = V867121 + 1. assign V592348 = V163251 - 1. assign V192607 = V708163 - 1. assign V586332 = V121627 + 1. assign V492262 = V451420 - 1. assign V798734 = 7. assign V520116 = V023562. assign V686731 = V273582. assign V696676 = V072808. assign V303290 = V951656. assign V245437 = V687888. assign V273582 = V536123. assign V504603 = V224496. assign V436252 = V245437. assign V451420 = V342536 + 1. assign V337487 = V315366 + 1. assign V224815 = V708163. assign V927624 = V081486. assign V922600 = V942426. assign V334891 = V247802 + 1. assign V536123 = V687888 + 1. assign V866440 = V245437 - 1. assign V909980 = V023562 - 1. assign V635293 = V385190. assign V342536 = V315366 + 1. assign V062613 = V781184 - 1. assign V730979 = V445677. assign V224496 = V696676 + 1. assign V094791 = V866440 - 1. assign V016552 = V351841 + 1. assign V436591 = V245437 - 1. assign V163251 = V687888 - 1. assign V290321 = V536123. assign V867121 = V687888. assign V081336 = V351841 + 1. assign V072808 = V385190. assign V090131 = V687888. assign V951656 = V719032 - 1. assign V942426 = V072808. assign V622520 = V764263 - 1. assign V903950 = V273582 - 1. assign V764263 = V878884. assign V523023 = V436591 - 1. assign V748296 = V962256 + 1. assign V843284 = V113883 - 1. assign V023562 = V436252 - 1. assign V121627 = V290321. assign V687888 = V385190 - 1. assign V056235 = V534487 + 1. assign V281675 = V281800. assign V781184 = V872354 + 1. assign V453627 = V687888 + 1. assign V878884 = V337487. assign V719032 = V687888 + 1. assign V247802 = V385190 + 1. assign V467049 = V866440 + 1. assign V872354 = V436252 - 1. assign V937449 = V163251 + 1. assign V445677 = V281800 - 1. assign V281800 = V113883 - 1. assign V202506 = V927624. assign V385190 = V315366 - 1. assign V186087 = V090131 + 1. assign V380937 = V453627 + 1. assign V433142 = V872354 - 1. assign V898303 = V224815 - 1. assign V270386 = V081336 - 1. assign V081486 = V694094. assign V979920 = V798734 + 1. assign V811714 = V451420 - 1. assign V351841 = V687888. assign V823564 = V686731. assign V586434 = V433142 - 1. assign V976072 = V451420. assign V394357 = V492262 - 1. assign V135472 = V385190.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V534487 = V081336 + 1. assign V289498 = V843284 + 1. assign V582385 = V846842 + 1. assign V694094 = V303290 - 1. assign V113883 = V163251 - 1. assign V962256 = V186087 + 1. assign V708163 = V696676. assign V520090 = V520116. assign V059637 = V922600 + 1. assign V387943 = V781184 - 1. assign V846842 = V867121 + 1. assign V592348 = V163251 - 1. assign V192607 = V708163 - 1. assign V586332 = V121627 + 1. assign V492262 = V451420 - 1. assign V798734 = 7. assign V520116 = V023562. assign V686731 = V273582. assign V696676 = V072808. assign V303290 = V951656. assign V245437 = V687888. assign V273582 = V536123. assign V504603 = V224496. assign V436252 = V245437. assign V451420 = V342536 + 1. assign V337487 = V315366 + 1. assign V224815 = V708163. assign V927624 = V081486. assign V922600 = V942426. assign V334891 = V247802 + 1. assign V536123 = V687888 + 1. assign V866440 = V245437 - 1. assign V909980 = V023562 - 1. assign V635293 = V385190. assign V342536 = V315366 + 1. assign V062613 = V781184 - 1. assign V730979 = V445677. assign V224496 = V696676 + 1. assign V094791 = V866440 - 1. assign V016552 = V351841 + 1. assign V436591 = V245437 - 1. assign V163251 = V687888 - 1. assign V290321 = V536123. assign V867121 = V687888. assign V081336 = V351841 + 1. assign V072808 = V385190. assign V090131 = V687888. assign V951656 = V719032 - 1. assign V942426 = V072808. assign V622520 = V764263 - 1. assign V903950 = V273582 - 1. assign V764263 = V878884. assign V523023 = V436591 - 1. assign V748296 = V962256 + 1. assign V843284 = V113883 - 1. assign V023562 = V436252 - 1. assign V121627 = V290321. assign V687888 = V385190 - 1. assign V056235 = V534487 + 1. assign V281675 = V281800. assign V781184 = V872354 + 1. assign V453627 = V687888 + 1. assign V878884 = V337487. assign V719032 = V687888 + 1. assign V247802 = V385190 + 1. assign V467049 = V866440 + 1. assign V872354 = V436252 - 1. assign V937449 = V163251 + 1. assign V445677 = V281800 - 1. assign V281800 = V113883 - 1. assign V202506 = V927624. assign V385190 = V315366 - 1. assign V186087 = V090131 + 1. assign V380937 = V453627 + 1. assign V433142 = V872354 - 1. assign V898303 = V224815 - 1. assign V270386 = V081336 - 1. assign V081486 = V694094. assign V979920 = V798734 + 1. assign V811714 = V451420 - 1. assign V351841 = V687888. assign V823564 = V686731. assign V586434 = V433142 - 1. assign V976072 = V451420. assign V394357 = V492262 - 1. assign V135472 = V385190.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV798734 = 7;\n\nFrom these direct assignment(s), we have: \nV979920 = V798734 + 1 = 7 + 1 =8;\nNo other variables can be derived from V979920;\nNo other variables can be derived from V798734;\n\nNow we have done all the calculations. Derived variables are:\nV798734 = 7;\nV979920 = 8;\n\nNow we have finished this problem. ANSWER:\nV798734\n", "role": "assistant" } ]

[ "V976457" ]

[ { "content": "<context>\nassign V334366 = V754540 + 1. assign V941473 = V754541. assign V939428 = V400599 + 1. assign V849898 = V553712 + 1. assign V903379 = V585904 - 1. assign V944208 = V553712 + 1. assign V624334 = V400599. assign V970431 = V094519 - 1. assign V580908 = V156592. assign V738453 = V674585 + 1. assign V370165 = V252555 + 1. assign V181344 = V084786 + 1. assign V858616 = V976121. assign V754541 = V084786 - 1. assign V156592 = V836708 + 1. assign V807374 = V084786 - 1. assign V782967 = V094519. assign V866803 = V719419 + 1. assign V553712 = V872443. assign V406989 = V275902. assign V241783 = V866803 - 1. assign V735946 = V858616. assign V260807 = V599769 - 1. assign V493946 = V738453 - 1. assign V901999 = V553712 - 1. assign V084786 = V674585 - 1. assign V325727 = V782967 + 1. assign V001220 = V979935 - 1. assign V252555 = V976121 + 1. assign V150767 = V094519 + 1. assign V979935 = V580908. assign V872443 = V400599. assign V564539 = V658150 - 1. assign V988394 = V807374. assign V847086 = V836708 + 1. assign V754540 = V976121. assign V160618 = V719419. assign V783327 = V807374. assign V485324 = V573805 + 1. assign V037992 = V849246 - 1. assign V599769 = V275902 + 1. assign V893463 = V903379 + 1. assign V874046 = V115164 - 1. assign V094519 = V889412. assign V248577 = V115164 - 1. assign V002261 = V674585 + 1. assign V068710 = V624334 + 1. assign V719419 = V499220 - 1. assign V627444 = V585904 - 1. assign V115164 = V944208 + 1. assign V234216 = V556598 - 1. assign V585904 = V553712 - 1. assign V976457 = V757154 + 1. assign V604706 = V094519. assign V836708 = V889412 + 1. assign V755316 = V674585. assign V338435 = V754541 + 1. assign V011913 = V338435 + 1. assign V384924 = V406989 - 1. assign V867820 = V858616. assign V717166 = V624334. assign V849246 = V553712 - 1. assign V868293 = V901999. assign V576709 = V836708. assign V955590 = V094519 + 1. assign V400599 = V674585. assign V658150 = V086745 - 1. assign V889412 = V872443 - 1. assign V442606 = V944208. assign V499220 = V939428 + 1. assign V573805 = V658150 + 1. assign V288018 = V624334 + 1. assign V746055 = V717166 + 1. assign V757154 = 4. assign V902083 = V976121 + 1. assign V204839 = V400599 + 1. assign V506814 = V902083 + 1. assign V877242 = V755316 + 1. assign V275902 = V553712 - 1. assign V412870 = V400599 + 1. assign V086745 = V939428. assign V875515 = V939428. assign V096558 = V939428 - 1. assign V976121 = V872443 + 1. assign V556598 = V275902 + 1. assign V589130 = V875515 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V334366 = V754540 + 1. assign V941473 = V754541. assign V939428 = V400599 + 1. assign V849898 = V553712 + 1. assign V903379 = V585904 - 1. assign V944208 = V553712 + 1. assign V624334 = V400599. assign V970431 = V094519 - 1. assign V580908 = V156592. assign V738453 = V674585 + 1. assign V370165 = V252555 + 1. assign V181344 = V084786 + 1. assign V858616 = V976121. assign V754541 = V084786 - 1. assign V156592 = V836708 + 1. assign V807374 = V084786 - 1. assign V782967 = V094519. assign V866803 = V719419 + 1. assign V553712 = V872443. assign V406989 = V275902. assign V241783 = V866803 - 1. assign V735946 = V858616. assign V260807 = V599769 - 1. assign V493946 = V738453 - 1. assign V901999 = V553712 - 1. assign V084786 = V674585 - 1. assign V325727 = V782967 + 1. assign V001220 = V979935 - 1. assign V252555 = V976121 + 1. assign V150767 = V094519 + 1. assign V979935 = V580908. assign V872443 = V400599. assign V564539 = V658150 - 1. assign V988394 = V807374. assign V847086 = V836708 + 1. assign V754540 = V976121. assign V160618 = V719419. assign V783327 = V807374. assign V485324 = V573805 + 1. assign V037992 = V849246 - 1. assign V599769 = V275902 + 1. assign V893463 = V903379 + 1. assign V874046 = V115164 - 1. assign V094519 = V889412. assign V248577 = V115164 - 1. assign V002261 = V674585 + 1. assign V068710 = V624334 + 1. assign V719419 = V499220 - 1. assign V627444 = V585904 - 1. assign V115164 = V944208 + 1. assign V234216 = V556598 - 1. assign V585904 = V553712 - 1. assign V976457 = V757154 + 1. assign V604706 = V094519. assign V836708 = V889412 + 1. assign V755316 = V674585. assign V338435 = V754541 + 1. assign V011913 = V338435 + 1. assign V384924 = V406989 - 1. assign V867820 = V858616. assign V717166 = V624334. assign V849246 = V553712 - 1. assign V868293 = V901999. assign V576709 = V836708. assign V955590 = V094519 + 1. assign V400599 = V674585. assign V658150 = V086745 - 1. assign V889412 = V872443 - 1. assign V442606 = V944208. assign V499220 = V939428 + 1. assign V573805 = V658150 + 1. assign V288018 = V624334 + 1. assign V746055 = V717166 + 1. assign V757154 = 4. assign V902083 = V976121 + 1. assign V204839 = V400599 + 1. assign V506814 = V902083 + 1. assign V877242 = V755316 + 1. assign V275902 = V553712 - 1. assign V412870 = V400599 + 1. assign V086745 = V939428. assign V875515 = V939428. assign V096558 = V939428 - 1. assign V976121 = V872443 + 1. assign V556598 = V275902 + 1. assign V589130 = V875515 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV757154 = 4;\n\nFrom these direct assignment(s), we have: \nV976457 = V757154 + 1 = 4 + 1 =5;\nNo other variables can be derived from V976457;\nNo other variables can be derived from V757154;\n\nNow we have done all the calculations. Derived variables are:\nV757154 = 4;\nV976457 = 5;\n\nNow we have finished this problem. ANSWER:\nV976457\n", "role": "assistant" } ]

[ "V235845", "V901289" ]

[ { "content": "<context>\nassign V886133 = V127300 - 1. assign V461293 = V198682 + 1. assign V978047 = V252537 + 1. assign V023886 = V724368 - 1. assign V198682 = V539812 - 1. assign V105086 = V846137 + 1. assign V132192 = V400569 + 1. assign V687011 = V976915. assign V240585 = V412428. assign V235845 = 1. assign V400569 = V211721 - 1. assign V412428 = V976915 + 1. assign V217016 = V140027. assign V271234 = V798503. assign V802061 = V790497 + 1. assign V127300 = V773548. assign V598701 = V256446 + 1. assign V140027 = V331764 + 1. assign V840485 = V798503. assign V049615 = V493770. assign V823698 = V798503 - 1. assign V453367 = V474562 - 1. assign V867279 = V835864 - 1. assign V331764 = V434642 + 1. assign V539944 = V256446. assign V252537 = V673384 + 1. assign V176547 = V978047 - 1. assign V286474 = V023886 - 1. assign V673384 = V773548. assign V352615 = V687011 - 1. assign V736825 = V835864 - 1. assign V417441 = V352615 + 1. assign V983280 = V054208 + 1. assign V479459 = V798503. assign V522487 = V735295 - 1. assign V876416 = V677632 + 1. assign V417146 = V846137 - 1. assign V677632 = V773548. assign V724368 = V252537 - 1. assign V580256 = V376051 + 1. assign V666942 = V677632 + 1. assign V976915 = V461293 + 1. assign V846137 = V736825 - 1. assign V355639 = V687011 + 1. assign V877888 = V127300 + 1. assign V211721 = V384797 - 1. assign V798503 = V992196. assign V901289 = V235845. assign V142570 = V570771. assign V216950 = V436314 - 1. assign V539812 = V773548 - 1. assign V996219 = V976915 - 1. assign V724096 = V216950 + 1. assign V952412 = V673384. assign V835864 = V673384 - 1. assign V384797 = V976915. assign V965412 = V736825 + 1. assign V502646 = V673384 + 1. assign V723182 = V673384 + 1. assign V461866 = V127300 + 1. assign V613880 = V132192 + 1. assign V861272 = V570771. assign V524091 = V723182 + 1. assign V172035 = V965412 - 1. assign V807960 = V127300 + 1. assign V436314 = V256446 - 1. assign V493770 = V539812 + 1. assign V570771 = V461293. assign V324502 = V802061 - 1. assign V434642 = V773548 - 1. assign V474562 = V524091 - 1. assign V376051 = V736825. assign V054208 = V992196 + 1. assign V896093 = V965412. assign V735295 = V524091. assign V396172 = V054208 - 1. assign V944758 = V735295. assign V967973 = V673384 - 1. assign V992196 = V861272 - 1. assign V840235 = V211721 - 1. assign V424785 = V976915 + 1. assign V448875 = V352615 + 1. assign V830440 = V539812 + 1. assign V790497 = V861272 - 1. assign V256446 = V198682. assign V560713 = V400569 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V886133 = V127300 - 1. assign V461293 = V198682 + 1. assign V978047 = V252537 + 1. assign V023886 = V724368 - 1. assign V198682 = V539812 - 1. assign V105086 = V846137 + 1. assign V132192 = V400569 + 1. assign V687011 = V976915. assign V240585 = V412428. assign V235845 = 1. assign V400569 = V211721 - 1. assign V412428 = V976915 + 1. assign V217016 = V140027. assign V271234 = V798503. assign V802061 = V790497 + 1. assign V127300 = V773548. assign V598701 = V256446 + 1. assign V140027 = V331764 + 1. assign V840485 = V798503. assign V049615 = V493770. assign V823698 = V798503 - 1. assign V453367 = V474562 - 1. assign V867279 = V835864 - 1. assign V331764 = V434642 + 1. assign V539944 = V256446. assign V252537 = V673384 + 1. assign V176547 = V978047 - 1. assign V286474 = V023886 - 1. assign V673384 = V773548. assign V352615 = V687011 - 1. assign V736825 = V835864 - 1. assign V417441 = V352615 + 1. assign V983280 = V054208 + 1. assign V479459 = V798503. assign V522487 = V735295 - 1. assign V876416 = V677632 + 1. assign V417146 = V846137 - 1. assign V677632 = V773548. assign V724368 = V252537 - 1. assign V580256 = V376051 + 1. assign V666942 = V677632 + 1. assign V976915 = V461293 + 1. assign V846137 = V736825 - 1. assign V355639 = V687011 + 1. assign V877888 = V127300 + 1. assign V211721 = V384797 - 1. assign V798503 = V992196. assign V901289 = V235845. assign V142570 = V570771. assign V216950 = V436314 - 1. assign V539812 = V773548 - 1. assign V996219 = V976915 - 1. assign V724096 = V216950 + 1. assign V952412 = V673384. assign V835864 = V673384 - 1. assign V384797 = V976915. assign V965412 = V736825 + 1. assign V502646 = V673384 + 1. assign V723182 = V673384 + 1. assign V461866 = V127300 + 1. assign V613880 = V132192 + 1. assign V861272 = V570771. assign V524091 = V723182 + 1. assign V172035 = V965412 - 1. assign V807960 = V127300 + 1. assign V436314 = V256446 - 1. assign V493770 = V539812 + 1. assign V570771 = V461293. assign V324502 = V802061 - 1. assign V434642 = V773548 - 1. assign V474562 = V524091 - 1. assign V376051 = V736825. assign V054208 = V992196 + 1. assign V896093 = V965412. assign V735295 = V524091. assign V396172 = V054208 - 1. assign V944758 = V735295. assign V967973 = V673384 - 1. assign V992196 = V861272 - 1. assign V840235 = V211721 - 1. assign V424785 = V976915 + 1. assign V448875 = V352615 + 1. assign V830440 = V539812 + 1. assign V790497 = V861272 - 1. assign V256446 = V198682. assign V560713 = V400569 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV235845 = 1;\n\nFrom these direct assignment(s), we have: \nV901289 = V235845 = 1;\nNo other variables can be derived from V901289;\nNo other variables can be derived from V235845;\n\nNow we have done all the calculations. Derived variables are:\nV235845 = 1;\nV901289 = 1;\n\nNow we have finished this problem. ANSWER:\nV235845, V901289\n", "role": "assistant" } ]

[ "V639627" ]

[ { "content": "<context>\nassign V608826 = V093996. assign V177737 = V330985 + 1. assign V425220 = V264951 - 1. assign V585282 = V824241 - 1. assign V120560 = V478961 + 1. assign V522812 = V264951 + 1. assign V252956 = V067725. assign V046015 = V478961 + 1. assign V058932 = V824241 + 1. assign V586009 = V067725 + 1. assign V847721 = V283536 + 1. assign V459148 = V314606 + 1. assign V693727 = V680988. assign V198838 = V277229 + 1. assign V637841 = V261667 - 1. assign V261667 = V733705 + 1. assign V559061 = V986725 + 1. assign V553360 = V733705. assign V753486 = V733705 - 1. assign V031065 = V478961 - 1. assign V680988 = V283536 - 1. assign V330985 = V264951 + 1. assign V107746 = V093996 - 1. assign V283536 = V734734. assign V327476 = V456012 + 1. assign V916403 = V226659. assign V378597 = V681961. assign V976530 = V733705 + 1. assign V237477 = V565463 - 1. assign V305103 = V697796 + 1. assign V216720 = V833300. assign V945888 = V097024 - 1. assign V893887 = V734734 - 1. assign V153657 = V031065 + 1. assign V783247 = V976530. assign V131059 = V697796. assign V314606 = V697796. assign V097781 = V283536 - 1. assign V697796 = V041048 - 1. assign V447649 = V733705 - 1. assign V078886 = V067725 + 1. assign V951081 = V120560. assign V639627 = 1. assign V537846 = V945888. assign V986725 = V697796 + 1. assign V350786 = V131059. assign V478961 = V697796. assign V409694 = V900276. assign V134935 = V986725. assign V734734 = V097024 + 1. assign V615216 = V824241 - 1. assign V097024 = V131059. assign V392784 = V350786. assign V226659 = V478961. assign V268662 = V584133 + 1. assign V733705 = V824241 - 1. assign V106590 = V945888. assign V097014 = V264951 - 1. assign V833300 = V131059. assign V871464 = V250197 - 1. assign V263576 = V976530. assign V897459 = V409694 - 1. assign V277229 = V097014. assign V275398 = V226659. assign V727028 = V639627 + 1. assign V456012 = V976530. assign V093996 = V697796 - 1. assign V779594 = V824241. assign V662218 = V871464. assign V900276 = V733705. assign V575329 = V097014. assign V044408 = V097014. assign V565463 = V478961. assign V264951 = V275398 + 1. assign V584133 = V264951 + 1. assign V250197 = V575329 + 1. assign V442834 = V824241 + 1. assign V692684 = V697796. assign V658485 = V734734 + 1. assign V067725 = V058932 - 1. assign V681961 = V833300. assign V819479 = V697796. assign V118211 = V824241 - 1. assign V316927 = V041048. assign V658261 = V819479 + 1. assign V041048 = V824241.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V608826 = V093996. assign V177737 = V330985 + 1. assign V425220 = V264951 - 1. assign V585282 = V824241 - 1. assign V120560 = V478961 + 1. assign V522812 = V264951 + 1. assign V252956 = V067725. assign V046015 = V478961 + 1. assign V058932 = V824241 + 1. assign V586009 = V067725 + 1. assign V847721 = V283536 + 1. assign V459148 = V314606 + 1. assign V693727 = V680988. assign V198838 = V277229 + 1. assign V637841 = V261667 - 1. assign V261667 = V733705 + 1. assign V559061 = V986725 + 1. assign V553360 = V733705. assign V753486 = V733705 - 1. assign V031065 = V478961 - 1. assign V680988 = V283536 - 1. assign V330985 = V264951 + 1. assign V107746 = V093996 - 1. assign V283536 = V734734. assign V327476 = V456012 + 1. assign V916403 = V226659. assign V378597 = V681961. assign V976530 = V733705 + 1. assign V237477 = V565463 - 1. assign V305103 = V697796 + 1. assign V216720 = V833300. assign V945888 = V097024 - 1. assign V893887 = V734734 - 1. assign V153657 = V031065 + 1. assign V783247 = V976530. assign V131059 = V697796. assign V314606 = V697796. assign V097781 = V283536 - 1. assign V697796 = V041048 - 1. assign V447649 = V733705 - 1. assign V078886 = V067725 + 1. assign V951081 = V120560. assign V639627 = 1. assign V537846 = V945888. assign V986725 = V697796 + 1. assign V350786 = V131059. assign V478961 = V697796. assign V409694 = V900276. assign V134935 = V986725. assign V734734 = V097024 + 1. assign V615216 = V824241 - 1. assign V097024 = V131059. assign V392784 = V350786. assign V226659 = V478961. assign V268662 = V584133 + 1. assign V733705 = V824241 - 1. assign V106590 = V945888. assign V097014 = V264951 - 1. assign V833300 = V131059. assign V871464 = V250197 - 1. assign V263576 = V976530. assign V897459 = V409694 - 1. assign V277229 = V097014. assign V275398 = V226659. assign V727028 = V639627 + 1. assign V456012 = V976530. assign V093996 = V697796 - 1. assign V779594 = V824241. assign V662218 = V871464. assign V900276 = V733705. assign V575329 = V097014. assign V044408 = V097014. assign V565463 = V478961. assign V264951 = V275398 + 1. assign V584133 = V264951 + 1. assign V250197 = V575329 + 1. assign V442834 = V824241 + 1. assign V692684 = V697796. assign V658485 = V734734 + 1. assign V067725 = V058932 - 1. assign V681961 = V833300. assign V819479 = V697796. assign V118211 = V824241 - 1. assign V316927 = V041048. assign V658261 = V819479 + 1. assign V041048 = V824241.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV639627 = 1;\n\nFrom these direct assignment(s), we have: \nV727028 = V639627 + 1 = 1 + 1 =2;\nNo other variables can be derived from V727028;\nNo other variables can be derived from V639627;\n\nNow we have done all the calculations. Derived variables are:\nV639627 = 1;\nV727028 = 2;\n\nNow we have finished this problem. ANSWER:\nV639627\n", "role": "assistant" } ]

[ "V181602" ]

[ { "content": "<context>\nassign V181602 = 9. assign V683423 = V585849 + 1. assign V243116 = V606205 - 1. assign V977556 = V015113. assign V714915 = V162155 + 1. assign V138465 = V977556 + 1. assign V642120 = V162155. assign V865908 = V231465 - 1. assign V666311 = V642120 + 1. assign V679276 = V977556 - 1. assign V698338 = V280325. assign V226749 = V561945. assign V496343 = V714915 + 1. assign V162155 = V015113 + 1. assign V355027 = V181602 - 1. assign V573353 = V015113. assign V442764 = V799727 - 1. assign V057196 = V496343. assign V868641 = V240312. assign V724390 = V868641 - 1. assign V561945 = V799727 - 1. assign V240312 = V015113 + 1. assign V614627 = V388421 - 1. assign V534925 = V666311 + 1. assign V038078 = V162155. assign V784288 = V585849. assign V623089 = V799727 - 1. assign V557170 = V865908 - 1. assign V688626 = V231465 + 1. assign V188225 = V405157 - 1. assign V998615 = V067865 - 1. assign V085263 = V679276. assign V642325 = V251263 + 1. assign V457831 = V865908 + 1. assign V339948 = V606205. assign V661140 = V488464. assign V067865 = V585849 + 1. assign V380207 = V339948 - 1. assign V342290 = V714915 + 1. assign V799727 = V240312 - 1. assign V500850 = V661140 + 1. assign V388421 = V232653 + 1. assign V150422 = V038078 + 1. assign V280325 = V054444. assign V301261 = V535195. assign V747034 = V868641 + 1. assign V585849 = V606205. assign V014215 = V231465 - 1. assign V930271 = V642325 - 1. assign V535195 = V251263. assign V199651 = V243116 - 1. assign V433652 = V784288. assign V027644 = V442764 - 1. assign V770483 = V642120. assign V242815 = V380207 - 1. assign V371945 = V679276. assign V140052 = V240312 + 1. assign V776184 = V770483 - 1. assign V590330 = V280325. assign V849571 = V251263. assign V000553 = V849571 + 1. assign V858617 = V000553 - 1. assign V488464 = V067865. assign V965669 = V666311 + 1. assign V572486 = V642325 - 1. assign V251263 = V380207 + 1. assign V374301 = V162155 + 1. assign V331456 = V838713. assign V250039 = V561971. assign V318361 = V199651 + 1. assign V054444 = V442764. assign V951513 = V150422. assign V232653 = V015113 - 1. assign V986492 = V849571 - 1. assign V704589 = V977556 + 1. assign V213334 = V015113 + 1. assign V362805 = V561945 - 1. assign V400444 = V140052 + 1. assign V510123 = V986492 + 1. assign V514827 = V666311. assign V405157 = V240312 - 1. assign V838713 = V573353 - 1. assign V561971 = V799727 + 1. assign V231465 = V162155 - 1. assign V606205 = V799727 - 1. assign V523740 = V243116 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V181602 = 9. assign V683423 = V585849 + 1. assign V243116 = V606205 - 1. assign V977556 = V015113. assign V714915 = V162155 + 1. assign V138465 = V977556 + 1. assign V642120 = V162155. assign V865908 = V231465 - 1. assign V666311 = V642120 + 1. assign V679276 = V977556 - 1. assign V698338 = V280325. assign V226749 = V561945. assign V496343 = V714915 + 1. assign V162155 = V015113 + 1. assign V355027 = V181602 - 1. assign V573353 = V015113. assign V442764 = V799727 - 1. assign V057196 = V496343. assign V868641 = V240312. assign V724390 = V868641 - 1. assign V561945 = V799727 - 1. assign V240312 = V015113 + 1. assign V614627 = V388421 - 1. assign V534925 = V666311 + 1. assign V038078 = V162155. assign V784288 = V585849. assign V623089 = V799727 - 1. assign V557170 = V865908 - 1. assign V688626 = V231465 + 1. assign V188225 = V405157 - 1. assign V998615 = V067865 - 1. assign V085263 = V679276. assign V642325 = V251263 + 1. assign V457831 = V865908 + 1. assign V339948 = V606205. assign V661140 = V488464. assign V067865 = V585849 + 1. assign V380207 = V339948 - 1. assign V342290 = V714915 + 1. assign V799727 = V240312 - 1. assign V500850 = V661140 + 1. assign V388421 = V232653 + 1. assign V150422 = V038078 + 1. assign V280325 = V054444. assign V301261 = V535195. assign V747034 = V868641 + 1. assign V585849 = V606205. assign V014215 = V231465 - 1. assign V930271 = V642325 - 1. assign V535195 = V251263. assign V199651 = V243116 - 1. assign V433652 = V784288. assign V027644 = V442764 - 1. assign V770483 = V642120. assign V242815 = V380207 - 1. assign V371945 = V679276. assign V140052 = V240312 + 1. assign V776184 = V770483 - 1. assign V590330 = V280325. assign V849571 = V251263. assign V000553 = V849571 + 1. assign V858617 = V000553 - 1. assign V488464 = V067865. assign V965669 = V666311 + 1. assign V572486 = V642325 - 1. assign V251263 = V380207 + 1. assign V374301 = V162155 + 1. assign V331456 = V838713. assign V250039 = V561971. assign V318361 = V199651 + 1. assign V054444 = V442764. assign V951513 = V150422. assign V232653 = V015113 - 1. assign V986492 = V849571 - 1. assign V704589 = V977556 + 1. assign V213334 = V015113 + 1. assign V362805 = V561945 - 1. assign V400444 = V140052 + 1. assign V510123 = V986492 + 1. assign V514827 = V666311. assign V405157 = V240312 - 1. assign V838713 = V573353 - 1. assign V561971 = V799727 + 1. assign V231465 = V162155 - 1. assign V606205 = V799727 - 1. assign V523740 = V243116 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV181602 = 9;\n\nFrom these direct assignment(s), we have: \nV355027 = V181602 - 1 = 9 - 1 =8;\nNo other variables can be derived from V355027;\nNo other variables can be derived from V181602;\n\nNow we have done all the calculations. Derived variables are:\nV181602 = 9;\nV355027 = 8;\n\nNow we have finished this problem. ANSWER:\nV181602\n", "role": "assistant" } ]

[ "V082802", "V720317" ]

[ { "content": "<context>\nassign V186260 = V552629. assign V752798 = V801671 + 1. assign V460834 = V627506 + 1. assign V419042 = V445623. assign V813517 = V293280 - 1. assign V937660 = V813517 - 1. assign V840983 = V850545 - 1. assign V429185 = V553046 - 1. assign V720317 = V082802. assign V277920 = V553046 - 1. assign V515966 = V823751. assign V311949 = V293280. assign V661735 = V905553 + 1. assign V449698 = V903181 - 1. assign V342485 = V592667. assign V266937 = V661735. assign V439292 = V399868 + 1. assign V759018 = V340172 - 1. assign V325359 = V801671. assign V399868 = V322804 - 1. assign V221662 = V936894. assign V684874 = V994472 + 1. assign V194636 = V726777 - 1. assign V405300 = V311949 + 1. assign V671746 = V767677. assign V389394 = V661735 + 1. assign V845773 = V862963. assign V218029 = V110328 - 1. assign V774695 = V266937 + 1. assign V905553 = V937660 + 1. assign V815761 = V905553 + 1. assign V062993 = V661735 - 1. assign V306973 = V293280. assign V553046 = V937660. assign V466722 = V299695 - 1. assign V572591 = V850545. assign V592667 = V767677. assign V759641 = V265144. assign V823751 = V340172. assign V035029 = V905553. assign V646899 = V277920 - 1. assign V641730 = V737302. assign V331049 = V181542. assign V850545 = V293280 - 1. assign V389578 = V466722. assign V552629 = V862963 - 1. assign V726777 = V937660 + 1. assign V729992 = V767677 - 1. assign V230635 = V690170 - 1. assign V725080 = V299695 - 1. assign V110328 = V801671 + 1. assign V144949 = V265144 - 1. assign V690170 = V293280 + 1. assign V627506 = V815761 + 1. assign V340172 = V690170 + 1. assign V929171 = V905553. assign V056562 = V905553. assign V445623 = V937660. assign V065897 = V552629 - 1. assign V282011 = V429185 - 1. assign V203392 = V065897. assign V213312 = V419042. assign V750452 = V592667. assign V737302 = V340172 + 1. assign V877920 = V937660 - 1. assign V903181 = V801671 + 1. assign V891449 = V929171. assign V259307 = V850545 + 1. assign V265144 = V552629 - 1. assign V936894 = V035029. assign V343735 = V035029. assign V407452 = V813517 - 1. assign V994472 = V429185 - 1. assign V577573 = V845773 + 1. assign V333032 = V937660. assign V767677 = V813517 - 1. assign V692374 = V449698 - 1. assign V998788 = V627506 - 1. assign V862963 = V929171 + 1. assign V801671 = V823751 + 1. assign V206570 = V936894. assign V675635 = V552629. assign V322804 = V293280 - 1. assign V181542 = V592667 + 1. assign V299695 = V823751. assign V082802 = 7.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V186260 = V552629. assign V752798 = V801671 + 1. assign V460834 = V627506 + 1. assign V419042 = V445623. assign V813517 = V293280 - 1. assign V937660 = V813517 - 1. assign V840983 = V850545 - 1. assign V429185 = V553046 - 1. assign V720317 = V082802. assign V277920 = V553046 - 1. assign V515966 = V823751. assign V311949 = V293280. assign V661735 = V905553 + 1. assign V449698 = V903181 - 1. assign V342485 = V592667. assign V266937 = V661735. assign V439292 = V399868 + 1. assign V759018 = V340172 - 1. assign V325359 = V801671. assign V399868 = V322804 - 1. assign V221662 = V936894. assign V684874 = V994472 + 1. assign V194636 = V726777 - 1. assign V405300 = V311949 + 1. assign V671746 = V767677. assign V389394 = V661735 + 1. assign V845773 = V862963. assign V218029 = V110328 - 1. assign V774695 = V266937 + 1. assign V905553 = V937660 + 1. assign V815761 = V905553 + 1. assign V062993 = V661735 - 1. assign V306973 = V293280. assign V553046 = V937660. assign V466722 = V299695 - 1. assign V572591 = V850545. assign V592667 = V767677. assign V759641 = V265144. assign V823751 = V340172. assign V035029 = V905553. assign V646899 = V277920 - 1. assign V641730 = V737302. assign V331049 = V181542. assign V850545 = V293280 - 1. assign V389578 = V466722. assign V552629 = V862963 - 1. assign V726777 = V937660 + 1. assign V729992 = V767677 - 1. assign V230635 = V690170 - 1. assign V725080 = V299695 - 1. assign V110328 = V801671 + 1. assign V144949 = V265144 - 1. assign V690170 = V293280 + 1. assign V627506 = V815761 + 1. assign V340172 = V690170 + 1. assign V929171 = V905553. assign V056562 = V905553. assign V445623 = V937660. assign V065897 = V552629 - 1. assign V282011 = V429185 - 1. assign V203392 = V065897. assign V213312 = V419042. assign V750452 = V592667. assign V737302 = V340172 + 1. assign V877920 = V937660 - 1. assign V903181 = V801671 + 1. assign V891449 = V929171. assign V259307 = V850545 + 1. assign V265144 = V552629 - 1. assign V936894 = V035029. assign V343735 = V035029. assign V407452 = V813517 - 1. assign V994472 = V429185 - 1. assign V577573 = V845773 + 1. assign V333032 = V937660. assign V767677 = V813517 - 1. assign V692374 = V449698 - 1. assign V998788 = V627506 - 1. assign V862963 = V929171 + 1. assign V801671 = V823751 + 1. assign V206570 = V936894. assign V675635 = V552629. assign V322804 = V293280 - 1. assign V181542 = V592667 + 1. assign V299695 = V823751. assign V082802 = 7.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV082802 = 7;\n\nFrom these direct assignment(s), we have: \nV720317 = V082802 = 7;\nNo other variables can be derived from V720317;\nNo other variables can be derived from V082802;\n\nNow we have done all the calculations. Derived variables are:\nV082802 = 7;\nV720317 = 7;\n\nNow we have finished this problem. ANSWER:\nV082802, V720317\n", "role": "assistant" } ]

[ "V412765" ]

[ { "content": "<context>\nassign V216680 = V462396 - 1. assign V092403 = V583162 + 1. assign V415287 = V122147. assign V451782 = V764097. assign V837121 = V881370 + 1. assign V305468 = V092403 - 1. assign V765077 = V334894 + 1. assign V193368 = V377829 + 1. assign V584503 = V583162 - 1. assign V331291 = V497544. assign V598171 = V896623. assign V380797 = V863220 + 1. assign V952046 = V462396 - 1. assign V699294 = V092403. assign V703530 = V212827. assign V040243 = V380797. assign V462396 = V092403 + 1. assign V875677 = V583162 + 1. assign V512126 = V881370 - 1. assign V391276 = V203504 - 1. assign V039260 = V627461. assign V257987 = V982647 - 1. assign V507184 = V298158. assign V207717 = V193368 + 1. assign V643477 = V039260 - 1. assign V615755 = V230165. assign V426962 = V655545 + 1. assign V817253 = V881370. assign V894456 = V203504 - 1. assign V422133 = V896623 + 1. assign V042113 = V122147 + 1. assign V869820 = V659011 - 1. assign V517690 = V732841 + 1. assign V755334 = V583162 + 1. assign V627461 = V092403. assign V505595 = V085697 - 1. assign V645524 = V085697 - 1. assign V558155 = V462396. assign V337160 = V583162 + 1. assign V581191 = V212827 + 1. assign V094378 = V334894 - 1. assign V256180 = V311168 + 1. assign V302738 = V881370 + 1. assign V890918 = V545323 + 1. assign V122147 = V545323 - 1. assign V561063 = V764097 - 1. assign V545323 = V490393. assign V085697 = V659011 + 1. assign V881370 = V377829. assign V659011 = V092403 + 1. assign V583162 = V311168. assign V212827 = V627461. assign V412765 = V666218 - 1. assign V369674 = V305468 - 1. assign V203504 = V583162 - 1. assign V377829 = V380797. assign V863220 = V256180. assign V079125 = V216680 - 1. assign V713218 = V462396 + 1. assign V732841 = V596200 - 1. assign V370109 = V837121 - 1. assign V804590 = V377829. assign V298158 = V377829. assign V725460 = V256180. assign V469675 = V755334 - 1. assign V666218 = 10. assign V896623 = V380797 - 1. assign V764097 = V558155 - 1. assign V273276 = V713218. assign V735451 = V512126. assign V230165 = V207717 - 1. assign V721781 = V507184 - 1. assign V644813 = V079125. assign V334894 = V212827. assign V596200 = V643477 - 1. assign V382330 = V804590 - 1. assign V695345 = V298158 + 1. assign V157533 = V627461. assign V490393 = V203504 + 1. assign V190129 = V890918. assign V365958 = V850198. assign V655545 = V627461. assign V497544 = V817253 + 1. assign V850198 = V203504 + 1. assign V470809 = V462396 + 1. assign V982647 = V380797 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V216680 = V462396 - 1. assign V092403 = V583162 + 1. assign V415287 = V122147. assign V451782 = V764097. assign V837121 = V881370 + 1. assign V305468 = V092403 - 1. assign V765077 = V334894 + 1. assign V193368 = V377829 + 1. assign V584503 = V583162 - 1. assign V331291 = V497544. assign V598171 = V896623. assign V380797 = V863220 + 1. assign V952046 = V462396 - 1. assign V699294 = V092403. assign V703530 = V212827. assign V040243 = V380797. assign V462396 = V092403 + 1. assign V875677 = V583162 + 1. assign V512126 = V881370 - 1. assign V391276 = V203504 - 1. assign V039260 = V627461. assign V257987 = V982647 - 1. assign V507184 = V298158. assign V207717 = V193368 + 1. assign V643477 = V039260 - 1. assign V615755 = V230165. assign V426962 = V655545 + 1. assign V817253 = V881370. assign V894456 = V203504 - 1. assign V422133 = V896623 + 1. assign V042113 = V122147 + 1. assign V869820 = V659011 - 1. assign V517690 = V732841 + 1. assign V755334 = V583162 + 1. assign V627461 = V092403. assign V505595 = V085697 - 1. assign V645524 = V085697 - 1. assign V558155 = V462396. assign V337160 = V583162 + 1. assign V581191 = V212827 + 1. assign V094378 = V334894 - 1. assign V256180 = V311168 + 1. assign V302738 = V881370 + 1. assign V890918 = V545323 + 1. assign V122147 = V545323 - 1. assign V561063 = V764097 - 1. assign V545323 = V490393. assign V085697 = V659011 + 1. assign V881370 = V377829. assign V659011 = V092403 + 1. assign V583162 = V311168. assign V212827 = V627461. assign V412765 = V666218 - 1. assign V369674 = V305468 - 1. assign V203504 = V583162 - 1. assign V377829 = V380797. assign V863220 = V256180. assign V079125 = V216680 - 1. assign V713218 = V462396 + 1. assign V732841 = V596200 - 1. assign V370109 = V837121 - 1. assign V804590 = V377829. assign V298158 = V377829. assign V725460 = V256180. assign V469675 = V755334 - 1. assign V666218 = 10. assign V896623 = V380797 - 1. assign V764097 = V558155 - 1. assign V273276 = V713218. assign V735451 = V512126. assign V230165 = V207717 - 1. assign V721781 = V507184 - 1. assign V644813 = V079125. assign V334894 = V212827. assign V596200 = V643477 - 1. assign V382330 = V804590 - 1. assign V695345 = V298158 + 1. assign V157533 = V627461. assign V490393 = V203504 + 1. assign V190129 = V890918. assign V365958 = V850198. assign V655545 = V627461. assign V497544 = V817253 + 1. assign V850198 = V203504 + 1. assign V470809 = V462396 + 1. assign V982647 = V380797 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV666218 = 10;\n\nFrom these direct assignment(s), we have: \nV412765 = V666218 - 1 = 10 - 1 =9;\nNo other variables can be derived from V412765;\nNo other variables can be derived from V666218;\n\nNow we have done all the calculations. Derived variables are:\nV666218 = 10;\nV412765 = 9;\n\nNow we have finished this problem. ANSWER:\nV412765\n", "role": "assistant" } ]

[ "V875514" ]

[ { "content": "<context>\nassign V992155 = V256881 - 1. assign V107794 = V129550 - 1. assign V926777 = V092599. assign V214619 = V939096 + 1. assign V915208 = V712266 + 1. assign V387808 = V132982 + 1. assign V563239 = V295297 - 1. assign V402331 = V126496 - 1. assign V874107 = V539952. assign V262919 = V563188 - 1. assign V776841 = V256984 + 1. assign V985592 = V908691 + 1. assign V030158 = V186503 - 1. assign V925292 = V892835. assign V534056 = V985592 - 1. assign V020375 = V320315 - 1. assign V744668 = V729577 + 1. assign V186503 = V892835 + 1. assign V799586 = V892835 + 1. assign V748527 = V495755 - 1. assign V972924 = V262919 + 1. assign V357347 = V715780 + 1. assign V558769 = V830442. assign V704463 = V414769. assign V132982 = V256984 + 1. assign V275708 = V799586 - 1. assign V320315 = V262919 + 1. assign V886541 = V126496 + 1. assign V212772 = V126496 + 1. assign V256984 = V320315 - 1. assign V256881 = V357347. assign V636693 = V715780. assign V447660 = V315139 + 1. assign V315139 = V781248. assign V126496 = V262919. assign V165184 = V985592 - 1. assign V888830 = V010775. assign V877239 = V539952 - 1. assign V716663 = V729577 - 1. assign V781248 = V915208 - 1. assign V729577 = V563188. assign V775279 = V262919 - 1. assign V883014 = V447660 - 1. assign V544158 = V402036 + 1. assign V908691 = V262919 - 1. assign V385644 = V886541 - 1. assign V092599 = V023352. assign V712266 = V320315 + 1. assign V126846 = 7. assign V179266 = V748527 + 1. assign V330206 = V023352 - 1. assign V830442 = V915208. assign V524142 = V715780. assign V406769 = V023352. assign V663106 = V915208 - 1. assign V220848 = V715780. assign V446626 = V563188 - 1. assign V494897 = V830442 + 1. assign V402036 = V126496. assign V047543 = V830442 - 1. assign V841276 = V020375 + 1. assign V023352 = V165184. assign V887595 = V663106 + 1. assign V539952 = V563188 - 1. assign V892835 = V908691 + 1. assign V780458 = V495755. assign V777765 = V830442 - 1. assign V304028 = V716663 + 1. assign V295297 = V985592 - 1. assign V715780 = V712266 - 1. assign V239331 = V534056 + 1. assign V201105 = V883014. assign V007754 = V972924 - 1. assign V010775 = V972924 + 1. assign V875514 = V126846 - 1. assign V414769 = V886541. assign V550440 = V748527 - 1. assign V862108 = V179266 - 1. assign V014435 = V494897 + 1. assign V060141 = V132982. assign V495755 = V563188 - 1. assign V129550 = V262919. assign V095681 = V972924. assign V939096 = V262919. assign V290838 = V972924 - 1. assign V781218 = V716663 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V992155 = V256881 - 1. assign V107794 = V129550 - 1. assign V926777 = V092599. assign V214619 = V939096 + 1. assign V915208 = V712266 + 1. assign V387808 = V132982 + 1. assign V563239 = V295297 - 1. assign V402331 = V126496 - 1. assign V874107 = V539952. assign V262919 = V563188 - 1. assign V776841 = V256984 + 1. assign V985592 = V908691 + 1. assign V030158 = V186503 - 1. assign V925292 = V892835. assign V534056 = V985592 - 1. assign V020375 = V320315 - 1. assign V744668 = V729577 + 1. assign V186503 = V892835 + 1. assign V799586 = V892835 + 1. assign V748527 = V495755 - 1. assign V972924 = V262919 + 1. assign V357347 = V715780 + 1. assign V558769 = V830442. assign V704463 = V414769. assign V132982 = V256984 + 1. assign V275708 = V799586 - 1. assign V320315 = V262919 + 1. assign V886541 = V126496 + 1. assign V212772 = V126496 + 1. assign V256984 = V320315 - 1. assign V256881 = V357347. assign V636693 = V715780. assign V447660 = V315139 + 1. assign V315139 = V781248. assign V126496 = V262919. assign V165184 = V985592 - 1. assign V888830 = V010775. assign V877239 = V539952 - 1. assign V716663 = V729577 - 1. assign V781248 = V915208 - 1. assign V729577 = V563188. assign V775279 = V262919 - 1. assign V883014 = V447660 - 1. assign V544158 = V402036 + 1. assign V908691 = V262919 - 1. assign V385644 = V886541 - 1. assign V092599 = V023352. assign V712266 = V320315 + 1. assign V126846 = 7. assign V179266 = V748527 + 1. assign V330206 = V023352 - 1. assign V830442 = V915208. assign V524142 = V715780. assign V406769 = V023352. assign V663106 = V915208 - 1. assign V220848 = V715780. assign V446626 = V563188 - 1. assign V494897 = V830442 + 1. assign V402036 = V126496. assign V047543 = V830442 - 1. assign V841276 = V020375 + 1. assign V023352 = V165184. assign V887595 = V663106 + 1. assign V539952 = V563188 - 1. assign V892835 = V908691 + 1. assign V780458 = V495755. assign V777765 = V830442 - 1. assign V304028 = V716663 + 1. assign V295297 = V985592 - 1. assign V715780 = V712266 - 1. assign V239331 = V534056 + 1. assign V201105 = V883014. assign V007754 = V972924 - 1. assign V010775 = V972924 + 1. assign V875514 = V126846 - 1. assign V414769 = V886541. assign V550440 = V748527 - 1. assign V862108 = V179266 - 1. assign V014435 = V494897 + 1. assign V060141 = V132982. assign V495755 = V563188 - 1. assign V129550 = V262919. assign V095681 = V972924. assign V939096 = V262919. assign V290838 = V972924 - 1. assign V781218 = V716663 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV126846 = 7;\n\nFrom these direct assignment(s), we have: \nV875514 = V126846 - 1 = 7 - 1 =6;\nNo other variables can be derived from V875514;\nNo other variables can be derived from V126846;\n\nNow we have done all the calculations. Derived variables are:\nV126846 = 7;\nV875514 = 6;\n\nNow we have finished this problem. ANSWER:\nV875514\n", "role": "assistant" } ]

[ "V794840", "V203981" ]

[ { "content": "<context>\nassign V386972 = V986688. assign V801152 = V386972. assign V203981 = V794840. assign V320595 = V951311. assign V181141 = V757690. assign V319410 = V386972 + 1. assign V582170 = V261685 - 1. assign V321860 = V181141. assign V356859 = V272056. assign V094366 = V261685 + 1. assign V079185 = V697569 + 1. assign V757690 = V272056. assign V041259 = V171573 + 1. assign V794840 = 1. assign V058710 = V094366. assign V125908 = V670420. assign V325264 = V778500. assign V059298 = V757690 + 1. assign V430901 = V489054 + 1. assign V730129 = V643458 + 1. assign V951025 = V710068 + 1. assign V128133 = V951311 - 1. assign V851178 = V272056 + 1. assign V655428 = V750082. assign V951311 = V986688 - 1. assign V948613 = V697569. assign V420683 = V164553 - 1. assign V670420 = V181141 + 1. assign V778500 = V986688 - 1. assign V298658 = V601769 - 1. assign V355465 = V757690 - 1. assign V596659 = V948613. assign V750082 = V321860 + 1. assign V078887 = V670420. assign V376116 = V734637 + 1. assign V014909 = V670420. assign V746851 = V164553. assign V471803 = V272056. assign V650610 = V319410 - 1. assign V391171 = V541030. assign V559426 = V171573. assign V820075 = V996000 - 1. assign V550418 = V307460 - 1. assign V633105 = V601769 + 1. assign V571261 = V261685. assign V939665 = V643458. assign V888071 = V307460 - 1. assign V785552 = V601769. assign V141958 = V996000 - 1. assign V643458 = V801152. assign V563748 = V014909 + 1. assign V855259 = V601769 - 1. assign V314365 = V851178 + 1. assign V734637 = V014909 - 1. assign V164553 = V712518 - 1. assign V716654 = V320595 + 1. assign V691511 = V041259 + 1. assign V909233 = V386972 - 1. assign V307460 = V079185 - 1. assign V767101 = V801152 + 1. assign V712518 = V986688. assign V697569 = V986688 + 1. assign V986688 = V181141 + 1. assign V713773 = V655428 - 1. assign V030770 = V125908 - 1. assign V678057 = V519957. assign V975397 = V712518 - 1. assign V939092 = V801152 + 1. assign V935405 = V948613 + 1. assign V528642 = V281994 - 1. assign V906356 = V181141 - 1. assign V489054 = V757690 - 1. assign V616114 = V420683. assign V519957 = V984642 - 1. assign V321806 = V376116. assign V982042 = V601769 - 1. assign V996000 = V386972 - 1. assign V601769 = V697569 + 1. assign V984642 = V181141 - 1. assign V541030 = V489054. assign V261685 = V164553. assign V208767 = V181141 + 1. assign V171573 = V319410. assign V710068 = V272056. assign V490009 = V951311 + 1. assign V281994 = V519957.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V386972 = V986688. assign V801152 = V386972. assign V203981 = V794840. assign V320595 = V951311. assign V181141 = V757690. assign V319410 = V386972 + 1. assign V582170 = V261685 - 1. assign V321860 = V181141. assign V356859 = V272056. assign V094366 = V261685 + 1. assign V079185 = V697569 + 1. assign V757690 = V272056. assign V041259 = V171573 + 1. assign V794840 = 1. assign V058710 = V094366. assign V125908 = V670420. assign V325264 = V778500. assign V059298 = V757690 + 1. assign V430901 = V489054 + 1. assign V730129 = V643458 + 1. assign V951025 = V710068 + 1. assign V128133 = V951311 - 1. assign V851178 = V272056 + 1. assign V655428 = V750082. assign V951311 = V986688 - 1. assign V948613 = V697569. assign V420683 = V164553 - 1. assign V670420 = V181141 + 1. assign V778500 = V986688 - 1. assign V298658 = V601769 - 1. assign V355465 = V757690 - 1. assign V596659 = V948613. assign V750082 = V321860 + 1. assign V078887 = V670420. assign V376116 = V734637 + 1. assign V014909 = V670420. assign V746851 = V164553. assign V471803 = V272056. assign V650610 = V319410 - 1. assign V391171 = V541030. assign V559426 = V171573. assign V820075 = V996000 - 1. assign V550418 = V307460 - 1. assign V633105 = V601769 + 1. assign V571261 = V261685. assign V939665 = V643458. assign V888071 = V307460 - 1. assign V785552 = V601769. assign V141958 = V996000 - 1. assign V643458 = V801152. assign V563748 = V014909 + 1. assign V855259 = V601769 - 1. assign V314365 = V851178 + 1. assign V734637 = V014909 - 1. assign V164553 = V712518 - 1. assign V716654 = V320595 + 1. assign V691511 = V041259 + 1. assign V909233 = V386972 - 1. assign V307460 = V079185 - 1. assign V767101 = V801152 + 1. assign V712518 = V986688. assign V697569 = V986688 + 1. assign V986688 = V181141 + 1. assign V713773 = V655428 - 1. assign V030770 = V125908 - 1. assign V678057 = V519957. assign V975397 = V712518 - 1. assign V939092 = V801152 + 1. assign V935405 = V948613 + 1. assign V528642 = V281994 - 1. assign V906356 = V181141 - 1. assign V489054 = V757690 - 1. assign V616114 = V420683. assign V519957 = V984642 - 1. assign V321806 = V376116. assign V982042 = V601769 - 1. assign V996000 = V386972 - 1. assign V601769 = V697569 + 1. assign V984642 = V181141 - 1. assign V541030 = V489054. assign V261685 = V164553. assign V208767 = V181141 + 1. assign V171573 = V319410. assign V710068 = V272056. assign V490009 = V951311 + 1. assign V281994 = V519957.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV794840 = 1;\n\nFrom these direct assignment(s), we have: \nV203981 = V794840 = 1;\nNo other variables can be derived from V203981;\nNo other variables can be derived from V794840;\n\nNow we have done all the calculations. Derived variables are:\nV794840 = 1;\nV203981 = 1;\n\nNow we have finished this problem. ANSWER:\nV794840, V203981\n", "role": "assistant" } ]

[ "V168560" ]

[ { "content": "<context>\nassign V183101 = V273570 + 1. assign V153784 = V585825. assign V239764 = V254541 + 1. assign V563004 = V131604 - 1. assign V841574 = V283029 + 1. assign V890933 = V176703. assign V290261 = V429032. assign V905467 = V233643 + 1. assign V567408 = V239764. assign V318769 = V068320 - 1. assign V392109 = V585825 + 1. assign V168560 = 1. assign V126305 = V026126. assign V414441 = V898447 - 1. assign V830415 = V239764. assign V374277 = V585825 + 1. assign V358898 = V196760. assign V104545 = V841574. assign V484889 = V830415 + 1. assign V507950 = V542300 - 1. assign V570535 = V109685. assign V035073 = V026126 - 1. assign V429032 = V369141 + 1. assign V109685 = V131604 - 1. assign V273570 = V035073 + 1. assign V919862 = V026126. assign V542300 = V830415 - 1. assign V158740 = V168560 + 1. assign V153115 = V949857 + 1. assign V260148 = V153115 - 1. assign V745048 = V183101 + 1. assign V187643 = V122438 - 1. assign V254541 = V949857 - 1. assign V515334 = V187643 + 1. assign V909646 = V536598. assign V234579 = V555902 + 1. assign V947442 = V153784. assign V949857 = V439365 - 1. assign V153202 = V354974 - 1. assign V745248 = V068320 - 1. assign V310678 = V310193 + 1. assign V369141 = V187643 - 1. assign V212186 = V233643. assign V993838 = V909646 + 1. assign V233643 = V187643 + 1. assign V274401 = V273570. assign V441894 = V187643. assign V026126 = V949857 + 1. assign V255444 = V239764 + 1. assign V393453 = V035073. assign V120720 = V131604 + 1. assign V310278 = V637581 + 1. assign V585825 = V035073. assign V176703 = V354974 + 1. assign V131604 = V369141 + 1. assign V196760 = V239764 - 1. assign V013685 = V139986 - 1. assign V673811 = V310678. assign V986374 = V563004. assign V726224 = V153784. assign V439365 = V122438 + 1. assign V637581 = V830415 + 1. assign V310193 = V187643. assign V288800 = V949857. assign V526691 = V585825 - 1. assign V555902 = V354974 + 1. assign V638251 = V068320 - 1. assign V568683 = V122438 - 1. assign V083923 = V122438. assign V181557 = V668291. assign V122438 = V354974. assign V697488 = V077121. assign V668291 = V035073 - 1. assign V734540 = V310678. assign V077121 = V035073 + 1. assign V023385 = V274401 - 1. assign V279639 = V429032. assign V651309 = V260148 + 1. assign V628767 = V153784. assign V898447 = V393453. assign V283029 = V890933 + 1. assign V068320 = V153115 + 1. assign V139986 = V439365 + 1. assign V422996 = V013685. assign V536598 = V949857 + 1. assign V650969 = V439365 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V183101 = V273570 + 1. assign V153784 = V585825. assign V239764 = V254541 + 1. assign V563004 = V131604 - 1. assign V841574 = V283029 + 1. assign V890933 = V176703. assign V290261 = V429032. assign V905467 = V233643 + 1. assign V567408 = V239764. assign V318769 = V068320 - 1. assign V392109 = V585825 + 1. assign V168560 = 1. assign V126305 = V026126. assign V414441 = V898447 - 1. assign V830415 = V239764. assign V374277 = V585825 + 1. assign V358898 = V196760. assign V104545 = V841574. assign V484889 = V830415 + 1. assign V507950 = V542300 - 1. assign V570535 = V109685. assign V035073 = V026126 - 1. assign V429032 = V369141 + 1. assign V109685 = V131604 - 1. assign V273570 = V035073 + 1. assign V919862 = V026126. assign V542300 = V830415 - 1. assign V158740 = V168560 + 1. assign V153115 = V949857 + 1. assign V260148 = V153115 - 1. assign V745048 = V183101 + 1. assign V187643 = V122438 - 1. assign V254541 = V949857 - 1. assign V515334 = V187643 + 1. assign V909646 = V536598. assign V234579 = V555902 + 1. assign V947442 = V153784. assign V949857 = V439365 - 1. assign V153202 = V354974 - 1. assign V745248 = V068320 - 1. assign V310678 = V310193 + 1. assign V369141 = V187643 - 1. assign V212186 = V233643. assign V993838 = V909646 + 1. assign V233643 = V187643 + 1. assign V274401 = V273570. assign V441894 = V187643. assign V026126 = V949857 + 1. assign V255444 = V239764 + 1. assign V393453 = V035073. assign V120720 = V131604 + 1. assign V310278 = V637581 + 1. assign V585825 = V035073. assign V176703 = V354974 + 1. assign V131604 = V369141 + 1. assign V196760 = V239764 - 1. assign V013685 = V139986 - 1. assign V673811 = V310678. assign V986374 = V563004. assign V726224 = V153784. assign V439365 = V122438 + 1. assign V637581 = V830415 + 1. assign V310193 = V187643. assign V288800 = V949857. assign V526691 = V585825 - 1. assign V555902 = V354974 + 1. assign V638251 = V068320 - 1. assign V568683 = V122438 - 1. assign V083923 = V122438. assign V181557 = V668291. assign V122438 = V354974. assign V697488 = V077121. assign V668291 = V035073 - 1. assign V734540 = V310678. assign V077121 = V035073 + 1. assign V023385 = V274401 - 1. assign V279639 = V429032. assign V651309 = V260148 + 1. assign V628767 = V153784. assign V898447 = V393453. assign V283029 = V890933 + 1. assign V068320 = V153115 + 1. assign V139986 = V439365 + 1. assign V422996 = V013685. assign V536598 = V949857 + 1. assign V650969 = V439365 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV168560 = 1;\n\nFrom these direct assignment(s), we have: \nV158740 = V168560 + 1 = 1 + 1 =2;\nNo other variables can be derived from V158740;\nNo other variables can be derived from V168560;\n\nNow we have done all the calculations. Derived variables are:\nV168560 = 1;\nV158740 = 2;\n\nNow we have finished this problem. ANSWER:\nV168560\n", "role": "assistant" } ]

[ "V078080" ]

[ { "content": "<context>\nassign V290448 = V993545 - 1. assign V533543 = V453985. assign V922843 = V918150 - 1. assign V827750 = V751323. assign V449045 = 5. assign V659468 = V835219 + 1. assign V494004 = V290448 - 1. assign V819931 = V507744. assign V676357 = V783619 + 1. assign V685059 = V664962 - 1. assign V593549 = V438239. assign V108839 = V676357 + 1. assign V270305 = V551742. assign V664962 = V627327. assign V604039 = V664962 - 1. assign V570496 = V463195. assign V856919 = V269340. assign V633785 = V551742. assign V894051 = V993545 - 1. assign V241756 = V551742 + 1. assign V685237 = V835219. assign V627327 = V551742. assign V639826 = V918150 + 1. assign V676753 = V431868. assign V417725 = V639826. assign V012529 = V685237. assign V312089 = V463195. assign V199486 = V241756 + 1. assign V331892 = V112141 - 1. assign V783619 = V627327 - 1. assign V416949 = V580769. assign V052949 = V627327 + 1. assign V532372 = V001285 - 1. assign V918717 = V001285 - 1. assign V434409 = V918150 + 1. assign V249612 = V604039 - 1. assign V591287 = V233008. assign V241289 = V685059 + 1. assign V057509 = V741242 - 1. assign V504498 = V659468 - 1. assign V741242 = V639826 + 1. assign V595808 = V796938 + 1. assign V944084 = V593549 + 1. assign V112141 = V993545 + 1. assign V444211 = V796938. assign V786960 = V241756. assign V149616 = V417725. assign V262869 = V685237. assign V554411 = V664962 + 1. assign V206428 = V786960 - 1. assign V751323 = V301244 - 1. assign V476563 = V312089 + 1. assign V027090 = V249926 + 1. assign V918150 = V786960 - 1. assign V438239 = V551742 + 1. assign V282638 = V685059 - 1. assign V233008 = V241289 - 1. assign V169595 = V722918 - 1. assign V431868 = V894051. assign V269340 = V241756 - 1. assign V127640 = V835219. assign V475972 = V504498 + 1. assign V511016 = V269340 + 1. assign V463195 = V001285 + 1. assign V001285 = V453985 + 1. assign V722918 = V993545 - 1. assign V108976 = V438239 + 1. assign V453985 = V241756 - 1. assign V881889 = V290448. assign V249926 = V685237 - 1. assign V094644 = V241756 + 1. assign V078702 = V856919. assign V301244 = V434409 - 1. assign V288679 = V282638. assign V396194 = V993545 - 1. assign V981487 = V078702 + 1. assign V835219 = V664962. assign V343131 = V453985. assign V078080 = V449045 - 1. assign V580769 = V262869 - 1. assign V993545 = V783619 + 1. assign V850342 = V676357 - 1. assign V285876 = V438239 + 1. assign V507744 = V301244 + 1. assign V344456 = V685059 - 1. assign V796938 = V494004 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V290448 = V993545 - 1. assign V533543 = V453985. assign V922843 = V918150 - 1. assign V827750 = V751323. assign V449045 = 5. assign V659468 = V835219 + 1. assign V494004 = V290448 - 1. assign V819931 = V507744. assign V676357 = V783619 + 1. assign V685059 = V664962 - 1. assign V593549 = V438239. assign V108839 = V676357 + 1. assign V270305 = V551742. assign V664962 = V627327. assign V604039 = V664962 - 1. assign V570496 = V463195. assign V856919 = V269340. assign V633785 = V551742. assign V894051 = V993545 - 1. assign V241756 = V551742 + 1. assign V685237 = V835219. assign V627327 = V551742. assign V639826 = V918150 + 1. assign V676753 = V431868. assign V417725 = V639826. assign V012529 = V685237. assign V312089 = V463195. assign V199486 = V241756 + 1. assign V331892 = V112141 - 1. assign V783619 = V627327 - 1. assign V416949 = V580769. assign V052949 = V627327 + 1. assign V532372 = V001285 - 1. assign V918717 = V001285 - 1. assign V434409 = V918150 + 1. assign V249612 = V604039 - 1. assign V591287 = V233008. assign V241289 = V685059 + 1. assign V057509 = V741242 - 1. assign V504498 = V659468 - 1. assign V741242 = V639826 + 1. assign V595808 = V796938 + 1. assign V944084 = V593549 + 1. assign V112141 = V993545 + 1. assign V444211 = V796938. assign V786960 = V241756. assign V149616 = V417725. assign V262869 = V685237. assign V554411 = V664962 + 1. assign V206428 = V786960 - 1. assign V751323 = V301244 - 1. assign V476563 = V312089 + 1. assign V027090 = V249926 + 1. assign V918150 = V786960 - 1. assign V438239 = V551742 + 1. assign V282638 = V685059 - 1. assign V233008 = V241289 - 1. assign V169595 = V722918 - 1. assign V431868 = V894051. assign V269340 = V241756 - 1. assign V127640 = V835219. assign V475972 = V504498 + 1. assign V511016 = V269340 + 1. assign V463195 = V001285 + 1. assign V001285 = V453985 + 1. assign V722918 = V993545 - 1. assign V108976 = V438239 + 1. assign V453985 = V241756 - 1. assign V881889 = V290448. assign V249926 = V685237 - 1. assign V094644 = V241756 + 1. assign V078702 = V856919. assign V301244 = V434409 - 1. assign V288679 = V282638. assign V396194 = V993545 - 1. assign V981487 = V078702 + 1. assign V835219 = V664962. assign V343131 = V453985. assign V078080 = V449045 - 1. assign V580769 = V262869 - 1. assign V993545 = V783619 + 1. assign V850342 = V676357 - 1. assign V285876 = V438239 + 1. assign V507744 = V301244 + 1. assign V344456 = V685059 - 1. assign V796938 = V494004 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV449045 = 5;\n\nFrom these direct assignment(s), we have: \nV078080 = V449045 - 1 = 5 - 1 =4;\nNo other variables can be derived from V078080;\nNo other variables can be derived from V449045;\n\nNow we have done all the calculations. Derived variables are:\nV449045 = 5;\nV078080 = 4;\n\nNow we have finished this problem. ANSWER:\nV078080\n", "role": "assistant" } ]

[ "V305877" ]

[ { "content": "<context>\nassign V223652 = V713477 - 1. assign V424481 = V164056 + 1. assign V924699 = V340733 + 1. assign V563429 = V032038 - 1. assign V688273 = V347362. assign V755053 = V122553. assign V364991 = V930145 - 1. assign V042205 = V642315 - 1. assign V740416 = V962842. assign V588509 = V073364. assign V995043 = V247903. assign V126084 = V072851 - 1. assign V016706 = V045262 - 1. assign V280176 = V995043. assign V978071 = V805865 - 1. assign V201979 = V122553 - 1. assign V752174 = V190311. assign V753445 = V995043. assign V003886 = V375226. assign V517998 = V755053 + 1. assign V190311 = V399399. assign V810661 = V042205 - 1. assign V962842 = V336406 - 1. assign V108435 = V755053 + 1. assign V399399 = V340733. assign V389039 = V073364 + 1. assign V930145 = V235026. assign V613285 = V450621. assign V739107 = V247903. assign V032038 = V642315 - 1. assign V188109 = V132154 - 1. assign V122553 = V247903 + 1. assign V504847 = V888848 - 1. assign V200235 = V132154 - 1. assign V977662 = V703808. assign V887673 = V122553 - 1. assign V340733 = V517998. assign V164056 = V280176. assign V805865 = V642315 + 1. assign V463849 = V032038 - 1. assign V885058 = V032038 + 1. assign V530180 = V003886 + 1. assign V132154 = V375226. assign V590964 = V739107 - 1. assign V776178 = V394507. assign V055800 = V476308. assign V347362 = V375226 + 1. assign V179877 = V621994 - 1. assign V292778 = V262735. assign V450621 = V805865 + 1. assign V972269 = V235026 + 1. assign V394507 = V590964. assign V976691 = V965862 - 1. assign V051103 = V888848. assign V456957 = V164056. assign V297745 = V885058 + 1. assign V305877 = 9. assign V045262 = V888848. assign V235026 = V042205 + 1. assign V072851 = V621994 - 1. assign V965862 = V885058 + 1. assign V079494 = V305877 - 1. assign V401146 = V340733. assign V916134 = V247903. assign V349185 = V247903. assign V118240 = V613285. assign V498571 = V753445. assign V888848 = V032038 + 1. assign V019147 = V885058 - 1. assign V776419 = V118240. assign V711331 = V995043. assign V476308 = V621994. assign V754119 = V916134 + 1. assign V073364 = V755053. assign V700477 = V739107 - 1. assign V145211 = V711331. assign V375226 = V517998 + 1. assign V713477 = V978071. assign V703808 = V805865 - 1. assign V642315 = V247903 - 1. assign V336406 = V888848 - 1. assign V262735 = V145211. assign V645849 = V336406 + 1. assign V615019 = V977662 + 1. assign V621994 = V235026. assign V637548 = V375226 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V223652 = V713477 - 1. assign V424481 = V164056 + 1. assign V924699 = V340733 + 1. assign V563429 = V032038 - 1. assign V688273 = V347362. assign V755053 = V122553. assign V364991 = V930145 - 1. assign V042205 = V642315 - 1. assign V740416 = V962842. assign V588509 = V073364. assign V995043 = V247903. assign V126084 = V072851 - 1. assign V016706 = V045262 - 1. assign V280176 = V995043. assign V978071 = V805865 - 1. assign V201979 = V122553 - 1. assign V752174 = V190311. assign V753445 = V995043. assign V003886 = V375226. assign V517998 = V755053 + 1. assign V190311 = V399399. assign V810661 = V042205 - 1. assign V962842 = V336406 - 1. assign V108435 = V755053 + 1. assign V399399 = V340733. assign V389039 = V073364 + 1. assign V930145 = V235026. assign V613285 = V450621. assign V739107 = V247903. assign V032038 = V642315 - 1. assign V188109 = V132154 - 1. assign V122553 = V247903 + 1. assign V504847 = V888848 - 1. assign V200235 = V132154 - 1. assign V977662 = V703808. assign V887673 = V122553 - 1. assign V340733 = V517998. assign V164056 = V280176. assign V805865 = V642315 + 1. assign V463849 = V032038 - 1. assign V885058 = V032038 + 1. assign V530180 = V003886 + 1. assign V132154 = V375226. assign V590964 = V739107 - 1. assign V776178 = V394507. assign V055800 = V476308. assign V347362 = V375226 + 1. assign V179877 = V621994 - 1. assign V292778 = V262735. assign V450621 = V805865 + 1. assign V972269 = V235026 + 1. assign V394507 = V590964. assign V976691 = V965862 - 1. assign V051103 = V888848. assign V456957 = V164056. assign V297745 = V885058 + 1. assign V305877 = 9. assign V045262 = V888848. assign V235026 = V042205 + 1. assign V072851 = V621994 - 1. assign V965862 = V885058 + 1. assign V079494 = V305877 - 1. assign V401146 = V340733. assign V916134 = V247903. assign V349185 = V247903. assign V118240 = V613285. assign V498571 = V753445. assign V888848 = V032038 + 1. assign V019147 = V885058 - 1. assign V776419 = V118240. assign V711331 = V995043. assign V476308 = V621994. assign V754119 = V916134 + 1. assign V073364 = V755053. assign V700477 = V739107 - 1. assign V145211 = V711331. assign V375226 = V517998 + 1. assign V713477 = V978071. assign V703808 = V805865 - 1. assign V642315 = V247903 - 1. assign V336406 = V888848 - 1. assign V262735 = V145211. assign V645849 = V336406 + 1. assign V615019 = V977662 + 1. assign V621994 = V235026. assign V637548 = V375226 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV305877 = 9;\n\nFrom these direct assignment(s), we have: \nV079494 = V305877 - 1 = 9 - 1 =8;\nNo other variables can be derived from V079494;\nNo other variables can be derived from V305877;\n\nNow we have done all the calculations. Derived variables are:\nV305877 = 9;\nV079494 = 8;\n\nNow we have finished this problem. ANSWER:\nV305877\n", "role": "assistant" } ]

[ "V384038" ]

[ { "content": "<context>\nassign V679252 = V490658 - 1. assign V523871 = V633369. assign V782328 = V989098 - 1. assign V528354 = V346444. assign V626200 = V490658 - 1. assign V956434 = V020045. assign V063849 = V252299 + 1. assign V431705 = V396048 - 1. assign V340505 = V346444. assign V593276 = V895028. assign V461695 = V340505 + 1. assign V498723 = V429199 + 1. assign V490658 = V032023 - 1. assign V545006 = V280433 + 1. assign V069232 = V490658 - 1. assign V407279 = V474547 + 1. assign V696965 = V895028. assign V032023 = V429199 + 1. assign V518946 = V280433 - 1. assign V280433 = V519164 - 1. assign V346444 = V045132 + 1. assign V586334 = V519164 + 1. assign V045132 = V748444 + 1. assign V294153 = V022815 - 1. assign V022815 = V429199 + 1. assign V203274 = V956434 - 1. assign V674978 = V787817 + 1. assign V185482 = V020045. assign V005951 = V371094 + 1. assign V748444 = V280433 + 1. assign V394016 = V519164 - 1. assign V633369 = V396048. assign V301862 = V252299 - 1. assign V838083 = V545006 + 1. assign V564568 = V396048 - 1. assign V474909 = V032023 - 1. assign V793601 = V553288. assign V474547 = V280433 - 1. assign V624565 = V519164 + 1. assign V248707 = V083627 + 1. assign V333463 = V998950 - 1. assign V138563 = V989098. assign V252299 = V474547 + 1. assign V468977 = V548581 + 1. assign V721296 = V519164. assign V577481 = V335958 - 1. assign V392285 = V947796 + 1. assign V403551 = V947796 + 1. assign V396048 = V233904. assign V548581 = V038516. assign V820876 = V233904 + 1. assign V233904 = V586334 - 1. assign V947796 = V982413 + 1. assign V982413 = V461695 - 1. assign V335958 = V252299 + 1. assign V925183 = V371094 + 1. assign V814636 = V895028 + 1. assign V397378 = V490658 + 1. assign V986106 = V233904 - 1. assign V334479 = V626200 - 1. assign V795320 = V519164 - 1. assign V553288 = V280433. assign V140111 = 5. assign V833628 = V528354. assign V779987 = V545006. assign V010166 = V038516 + 1. assign V916990 = V233904 - 1. assign V787817 = V626200 - 1. assign V581478 = V748444 - 1. assign V371094 = V895028 - 1. assign V038516 = V252299 - 1. assign V526492 = V083627 - 1. assign V273034 = V867564. assign V020045 = V748444 - 1. assign V470762 = V020045 - 1. assign V389922 = V523871 - 1. assign V384038 = V140111 + 1. assign V867564 = V468977 + 1. assign V083627 = V956434 - 1. assign V907594 = V982413 + 1. assign V998950 = V429199 - 1. assign V445691 = V045132. assign V895028 = V474547. assign V448713 = V787817 + 1. assign V429199 = V280433 + 1. assign V989098 = V748444.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V679252 = V490658 - 1. assign V523871 = V633369. assign V782328 = V989098 - 1. assign V528354 = V346444. assign V626200 = V490658 - 1. assign V956434 = V020045. assign V063849 = V252299 + 1. assign V431705 = V396048 - 1. assign V340505 = V346444. assign V593276 = V895028. assign V461695 = V340505 + 1. assign V498723 = V429199 + 1. assign V490658 = V032023 - 1. assign V545006 = V280433 + 1. assign V069232 = V490658 - 1. assign V407279 = V474547 + 1. assign V696965 = V895028. assign V032023 = V429199 + 1. assign V518946 = V280433 - 1. assign V280433 = V519164 - 1. assign V346444 = V045132 + 1. assign V586334 = V519164 + 1. assign V045132 = V748444 + 1. assign V294153 = V022815 - 1. assign V022815 = V429199 + 1. assign V203274 = V956434 - 1. assign V674978 = V787817 + 1. assign V185482 = V020045. assign V005951 = V371094 + 1. assign V748444 = V280433 + 1. assign V394016 = V519164 - 1. assign V633369 = V396048. assign V301862 = V252299 - 1. assign V838083 = V545006 + 1. assign V564568 = V396048 - 1. assign V474909 = V032023 - 1. assign V793601 = V553288. assign V474547 = V280433 - 1. assign V624565 = V519164 + 1. assign V248707 = V083627 + 1. assign V333463 = V998950 - 1. assign V138563 = V989098. assign V252299 = V474547 + 1. assign V468977 = V548581 + 1. assign V721296 = V519164. assign V577481 = V335958 - 1. assign V392285 = V947796 + 1. assign V403551 = V947796 + 1. assign V396048 = V233904. assign V548581 = V038516. assign V820876 = V233904 + 1. assign V233904 = V586334 - 1. assign V947796 = V982413 + 1. assign V982413 = V461695 - 1. assign V335958 = V252299 + 1. assign V925183 = V371094 + 1. assign V814636 = V895028 + 1. assign V397378 = V490658 + 1. assign V986106 = V233904 - 1. assign V334479 = V626200 - 1. assign V795320 = V519164 - 1. assign V553288 = V280433. assign V140111 = 5. assign V833628 = V528354. assign V779987 = V545006. assign V010166 = V038516 + 1. assign V916990 = V233904 - 1. assign V787817 = V626200 - 1. assign V581478 = V748444 - 1. assign V371094 = V895028 - 1. assign V038516 = V252299 - 1. assign V526492 = V083627 - 1. assign V273034 = V867564. assign V020045 = V748444 - 1. assign V470762 = V020045 - 1. assign V389922 = V523871 - 1. assign V384038 = V140111 + 1. assign V867564 = V468977 + 1. assign V083627 = V956434 - 1. assign V907594 = V982413 + 1. assign V998950 = V429199 - 1. assign V445691 = V045132. assign V895028 = V474547. assign V448713 = V787817 + 1. assign V429199 = V280433 + 1. assign V989098 = V748444.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV140111 = 5;\n\nFrom these direct assignment(s), we have: \nV384038 = V140111 + 1 = 5 + 1 =6;\nNo other variables can be derived from V384038;\nNo other variables can be derived from V140111;\n\nNow we have done all the calculations. Derived variables are:\nV140111 = 5;\nV384038 = 6;\n\nNow we have finished this problem. ANSWER:\nV384038\n", "role": "assistant" } ]

[ "V173568", "V348120" ]

[ { "content": "<context>\nassign V405830 = V419272. assign V853419 = V552813 - 1. assign V625242 = V125269 + 1. assign V924477 = V419272 - 1. assign V944036 = V522534 - 1. assign V186309 = V522534. assign V762125 = V249423 - 1. assign V612409 = V419272. assign V246702 = V895892 - 1. assign V149369 = V574309. assign V230349 = V975690 - 1. assign V552813 = V558493. assign V928870 = V552813. assign V469303 = V257365 + 1. assign V565099 = V467001. assign V056032 = V132005 - 1. assign V125269 = V944036 + 1. assign V320447 = V574309. assign V314532 = V944036 + 1. assign V635222 = V574309 - 1. assign V523611 = V123464. assign V400320 = V249423. assign V522534 = V384932 - 1. assign V419272 = V384932 + 1. assign V525770 = V420663 + 1. assign V115026 = V924477 - 1. assign V202895 = V087515 + 1. assign V646613 = V612409 + 1. assign V895892 = V125269 + 1. assign V484721 = V149369. assign V087515 = V824064 - 1. assign V534037 = V612409 - 1. assign V915224 = V612262 - 1. assign V975690 = V123464 - 1. assign V082289 = V276648. assign V515323 = V080791 - 1. assign V066566 = V502817. assign V558493 = V944036 + 1. assign V420663 = V132005 + 1. assign V742542 = V944036 - 1. assign V719336 = V534037. assign V612262 = V975690 + 1. assign V173568 = 5. assign V376378 = V522534 + 1. assign V089655 = V177305. assign V823318 = V558493. assign V205138 = V384932. assign V230616 = V249423 + 1. assign V319776 = V132005. assign V329540 = V915224. assign V467001 = V534037. assign V242880 = V505423 - 1. assign V080791 = V123464. assign V257365 = V384932 + 1. assign V566675 = V552813 - 1. assign V358013 = V276648 + 1. assign V333532 = V405830 - 1. assign V658629 = V230616 - 1. assign V386340 = V552813. assign V912330 = V329540 - 1. assign V502817 = V508355. assign V123464 = V612409 - 1. assign V508355 = V202895. assign V578144 = V276648 - 1. assign V076822 = V824064 - 1. assign V994726 = V924477 - 1. assign V546197 = V762125 - 1. assign V952622 = V574309 - 1. assign V993013 = V646613 + 1. assign V348120 = V173568. assign V017264 = V132005. assign V729387 = V186309. assign V177305 = V515323. assign V574309 = V125269 - 1. assign V276648 = V076822 - 1. assign V388956 = V646613. assign V721042 = V508355 - 1. assign V554806 = V635222. assign V703975 = V017264. assign V454592 = V419272. assign V505423 = V257365 - 1. assign V269514 = V924477 + 1. assign V132005 = V087515. assign V999837 = V123464 + 1. assign V824064 = V384932 + 1. assign V249423 = V384932 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V405830 = V419272. assign V853419 = V552813 - 1. assign V625242 = V125269 + 1. assign V924477 = V419272 - 1. assign V944036 = V522534 - 1. assign V186309 = V522534. assign V762125 = V249423 - 1. assign V612409 = V419272. assign V246702 = V895892 - 1. assign V149369 = V574309. assign V230349 = V975690 - 1. assign V552813 = V558493. assign V928870 = V552813. assign V469303 = V257365 + 1. assign V565099 = V467001. assign V056032 = V132005 - 1. assign V125269 = V944036 + 1. assign V320447 = V574309. assign V314532 = V944036 + 1. assign V635222 = V574309 - 1. assign V523611 = V123464. assign V400320 = V249423. assign V522534 = V384932 - 1. assign V419272 = V384932 + 1. assign V525770 = V420663 + 1. assign V115026 = V924477 - 1. assign V202895 = V087515 + 1. assign V646613 = V612409 + 1. assign V895892 = V125269 + 1. assign V484721 = V149369. assign V087515 = V824064 - 1. assign V534037 = V612409 - 1. assign V915224 = V612262 - 1. assign V975690 = V123464 - 1. assign V082289 = V276648. assign V515323 = V080791 - 1. assign V066566 = V502817. assign V558493 = V944036 + 1. assign V420663 = V132005 + 1. assign V742542 = V944036 - 1. assign V719336 = V534037. assign V612262 = V975690 + 1. assign V173568 = 5. assign V376378 = V522534 + 1. assign V089655 = V177305. assign V823318 = V558493. assign V205138 = V384932. assign V230616 = V249423 + 1. assign V319776 = V132005. assign V329540 = V915224. assign V467001 = V534037. assign V242880 = V505423 - 1. assign V080791 = V123464. assign V257365 = V384932 + 1. assign V566675 = V552813 - 1. assign V358013 = V276648 + 1. assign V333532 = V405830 - 1. assign V658629 = V230616 - 1. assign V386340 = V552813. assign V912330 = V329540 - 1. assign V502817 = V508355. assign V123464 = V612409 - 1. assign V508355 = V202895. assign V578144 = V276648 - 1. assign V076822 = V824064 - 1. assign V994726 = V924477 - 1. assign V546197 = V762125 - 1. assign V952622 = V574309 - 1. assign V993013 = V646613 + 1. assign V348120 = V173568. assign V017264 = V132005. assign V729387 = V186309. assign V177305 = V515323. assign V574309 = V125269 - 1. assign V276648 = V076822 - 1. assign V388956 = V646613. assign V721042 = V508355 - 1. assign V554806 = V635222. assign V703975 = V017264. assign V454592 = V419272. assign V505423 = V257365 - 1. assign V269514 = V924477 + 1. assign V132005 = V087515. assign V999837 = V123464 + 1. assign V824064 = V384932 + 1. assign V249423 = V384932 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV173568 = 5;\n\nFrom these direct assignment(s), we have: \nV348120 = V173568 = 5;\nNo other variables can be derived from V348120;\nNo other variables can be derived from V173568;\n\nNow we have done all the calculations. Derived variables are:\nV173568 = 5;\nV348120 = 5;\n\nNow we have finished this problem. ANSWER:\nV173568, V348120\n", "role": "assistant" } ]

[ "V735909" ]

[ { "content": "<context>\nassign V664018 = V187837. assign V407957 = V439755 - 1. assign V607529 = V599938 - 1. assign V991689 = V807601 + 1. assign V992059 = V209531. assign V220026 = V344228 + 1. assign V131794 = V682938. assign V255983 = V586330 - 1. assign V187837 = V254554 + 1. assign V491265 = V599938. assign V288365 = V119834. assign V807601 = V636153. assign V411824 = V318250. assign V142943 = V807601 - 1. assign V318250 = V480297 + 1. assign V761134 = V119834. assign V203195 = V823895 - 1. assign V391820 = V918504 - 1. assign V464698 = V586330. assign V820528 = V036837. assign V254554 = V480297 - 1. assign V786896 = V220026 - 1. assign V346238 = V735909 + 1. assign V367128 = V480297. assign V324278 = V306785 - 1. assign V337943 = V255983. assign V037640 = V058662 + 1. assign V581601 = V491265 - 1. assign V306785 = V528385. assign V127726 = V254554 - 1. assign V943524 = V254554 - 1. assign V725955 = V131143 + 1. assign V584424 = V725955 - 1. assign V797442 = V823895 + 1. assign V682938 = V344228. assign V269641 = V668711 - 1. assign V502731 = V786896 - 1. assign V058662 = V586330. assign V414519 = V318250. assign V539465 = V011983 - 1. assign V995626 = V820528. assign V668711 = V989435 + 1. assign V361076 = V636153. assign V160095 = V599938 + 1. assign V036837 = V119834 + 1. assign V989435 = V209531 - 1. assign V378579 = V823895. assign V586330 = V480297. assign V483120 = V391820 + 1. assign V439755 = V414519 + 1. assign V599938 = V254554 - 1. assign V608506 = V073388 + 1. assign V500576 = V820528 - 1. assign V204880 = V187837 + 1. assign V823895 = V311786 + 1. assign V432605 = V943524. assign V735909 = 2. assign V799937 = V439755 - 1. assign V119834 = V599938. assign V794890 = V209531 + 1. assign V779810 = V599938 + 1. assign V356934 = V823895 + 1. assign V311786 = V599938. assign V073388 = V074055. assign V078452 = V943524 + 1. assign V244836 = V918504. assign V773161 = V502731 - 1. assign V286482 = V439755 - 1. assign V344228 = V254554 - 1. assign V189356 = V254554 - 1. assign V063611 = V160095 + 1. assign V766553 = V411824. assign V092305 = V464698 + 1. assign V918504 = V682938 + 1. assign V074055 = V823895 + 1. assign V011983 = V502731. assign V131143 = V209531 + 1. assign V528385 = V820528 - 1. assign V761222 = V682938 - 1. assign V220471 = V823895. assign V119690 = V378579 + 1. assign V036605 = V807601 - 1. assign V022516 = V311786 + 1. assign V209531 = V318250. assign V636153 = V344228. assign V221142 = V414519.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V664018 = V187837. assign V407957 = V439755 - 1. assign V607529 = V599938 - 1. assign V991689 = V807601 + 1. assign V992059 = V209531. assign V220026 = V344228 + 1. assign V131794 = V682938. assign V255983 = V586330 - 1. assign V187837 = V254554 + 1. assign V491265 = V599938. assign V288365 = V119834. assign V807601 = V636153. assign V411824 = V318250. assign V142943 = V807601 - 1. assign V318250 = V480297 + 1. assign V761134 = V119834. assign V203195 = V823895 - 1. assign V391820 = V918504 - 1. assign V464698 = V586330. assign V820528 = V036837. assign V254554 = V480297 - 1. assign V786896 = V220026 - 1. assign V346238 = V735909 + 1. assign V367128 = V480297. assign V324278 = V306785 - 1. assign V337943 = V255983. assign V037640 = V058662 + 1. assign V581601 = V491265 - 1. assign V306785 = V528385. assign V127726 = V254554 - 1. assign V943524 = V254554 - 1. assign V725955 = V131143 + 1. assign V584424 = V725955 - 1. assign V797442 = V823895 + 1. assign V682938 = V344228. assign V269641 = V668711 - 1. assign V502731 = V786896 - 1. assign V058662 = V586330. assign V414519 = V318250. assign V539465 = V011983 - 1. assign V995626 = V820528. assign V668711 = V989435 + 1. assign V361076 = V636153. assign V160095 = V599938 + 1. assign V036837 = V119834 + 1. assign V989435 = V209531 - 1. assign V378579 = V823895. assign V586330 = V480297. assign V483120 = V391820 + 1. assign V439755 = V414519 + 1. assign V599938 = V254554 - 1. assign V608506 = V073388 + 1. assign V500576 = V820528 - 1. assign V204880 = V187837 + 1. assign V823895 = V311786 + 1. assign V432605 = V943524. assign V735909 = 2. assign V799937 = V439755 - 1. assign V119834 = V599938. assign V794890 = V209531 + 1. assign V779810 = V599938 + 1. assign V356934 = V823895 + 1. assign V311786 = V599938. assign V073388 = V074055. assign V078452 = V943524 + 1. assign V244836 = V918504. assign V773161 = V502731 - 1. assign V286482 = V439755 - 1. assign V344228 = V254554 - 1. assign V189356 = V254554 - 1. assign V063611 = V160095 + 1. assign V766553 = V411824. assign V092305 = V464698 + 1. assign V918504 = V682938 + 1. assign V074055 = V823895 + 1. assign V011983 = V502731. assign V131143 = V209531 + 1. assign V528385 = V820528 - 1. assign V761222 = V682938 - 1. assign V220471 = V823895. assign V119690 = V378579 + 1. assign V036605 = V807601 - 1. assign V022516 = V311786 + 1. assign V209531 = V318250. assign V636153 = V344228. assign V221142 = V414519.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV735909 = 2;\n\nFrom these direct assignment(s), we have: \nV346238 = V735909 + 1 = 2 + 1 =3;\nNo other variables can be derived from V346238;\nNo other variables can be derived from V735909;\n\nNow we have done all the calculations. Derived variables are:\nV735909 = 2;\nV346238 = 3;\n\nNow we have finished this problem. ANSWER:\nV735909\n", "role": "assistant" } ]

[ "V674201", "V837956" ]

[ { "content": "<context>\nassign V664872 = V975599 + 1. assign V430937 = V357844 + 1. assign V858969 = V244255. assign V319385 = V710617. assign V996023 = V990058. assign V841178 = V834356 + 1. assign V037111 = V990058. assign V837956 = V674201. assign V799369 = V034385. assign V781013 = V975599 - 1. assign V388455 = V781013. assign V207046 = V990058 - 1. assign V059633 = V781013 - 1. assign V777110 = V835144 - 1. assign V289828 = V723114 - 1. assign V384798 = V973257 - 1. assign V690991 = V328301 + 1. assign V866898 = V034385. assign V552003 = V364825. assign V990058 = V552003 - 1. assign V902548 = V034385 + 1. assign V646981 = V088907. assign V973257 = V844141. assign V950937 = V432425. assign V674201 = 4. assign V022531 = V319385. assign V905704 = V432425 - 1. assign V697779 = V646981 + 1. assign V472284 = V835144. assign V925065 = V210681 - 1. assign V478539 = V934622. assign V175063 = V934622 - 1. assign V441021 = V950937. assign V357844 = V781013 - 1. assign V710617 = V037111 - 1. assign V244255 = V207046 + 1. assign V364825 = V088907 + 1. assign V994138 = V744109 + 1. assign V432425 = V088907 - 1. assign V834356 = V441021. assign V965245 = V357844. assign V844141 = V552003 + 1. assign V775990 = V034385. assign V835144 = V934622 - 1. assign V170160 = V472284 - 1. assign V717348 = V996023. assign V249162 = V744109. assign V328301 = V034385. assign V744109 = V088907. assign V323550 = V141505 - 1. assign V504553 = V516262. assign V613280 = V264844. assign V436900 = V319385 - 1. assign V697634 = V710617. assign V975599 = V088907 + 1. assign V238549 = V950937. assign V974396 = V323550 - 1. assign V406435 = V950937. assign V184312 = V393320 - 1. assign V668621 = V388455 - 1. assign V176062 = V441021 + 1. assign V362679 = V432425 + 1. assign V938435 = V934622. assign V210681 = V835144 + 1. assign V925675 = V781013. assign V141505 = V697634. assign V946128 = V552003. assign V516262 = V384798. assign V393320 = V176062 + 1. assign V280186 = V022531. assign V264844 = V844141 - 1. assign V410995 = V950937 + 1. assign V034385 = V088907. assign V478415 = V088907 + 1. assign V097500 = V406435. assign V251938 = V799369. assign V659441 = V362679 + 1. assign V473166 = V994138 + 1. assign V475238 = V659441 - 1. assign V723114 = V664872 + 1. assign V934622 = V244255. assign V813137 = V516262 + 1. assign V936328 = V613280 + 1. assign V534457 = V744109 + 1. assign V552201 = V319385 + 1. assign V057253 = V902548.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V664872 = V975599 + 1. assign V430937 = V357844 + 1. assign V858969 = V244255. assign V319385 = V710617. assign V996023 = V990058. assign V841178 = V834356 + 1. assign V037111 = V990058. assign V837956 = V674201. assign V799369 = V034385. assign V781013 = V975599 - 1. assign V388455 = V781013. assign V207046 = V990058 - 1. assign V059633 = V781013 - 1. assign V777110 = V835144 - 1. assign V289828 = V723114 - 1. assign V384798 = V973257 - 1. assign V690991 = V328301 + 1. assign V866898 = V034385. assign V552003 = V364825. assign V990058 = V552003 - 1. assign V902548 = V034385 + 1. assign V646981 = V088907. assign V973257 = V844141. assign V950937 = V432425. assign V674201 = 4. assign V022531 = V319385. assign V905704 = V432425 - 1. assign V697779 = V646981 + 1. assign V472284 = V835144. assign V925065 = V210681 - 1. assign V478539 = V934622. assign V175063 = V934622 - 1. assign V441021 = V950937. assign V357844 = V781013 - 1. assign V710617 = V037111 - 1. assign V244255 = V207046 + 1. assign V364825 = V088907 + 1. assign V994138 = V744109 + 1. assign V432425 = V088907 - 1. assign V834356 = V441021. assign V965245 = V357844. assign V844141 = V552003 + 1. assign V775990 = V034385. assign V835144 = V934622 - 1. assign V170160 = V472284 - 1. assign V717348 = V996023. assign V249162 = V744109. assign V328301 = V034385. assign V744109 = V088907. assign V323550 = V141505 - 1. assign V504553 = V516262. assign V613280 = V264844. assign V436900 = V319385 - 1. assign V697634 = V710617. assign V975599 = V088907 + 1. assign V238549 = V950937. assign V974396 = V323550 - 1. assign V406435 = V950937. assign V184312 = V393320 - 1. assign V668621 = V388455 - 1. assign V176062 = V441021 + 1. assign V362679 = V432425 + 1. assign V938435 = V934622. assign V210681 = V835144 + 1. assign V925675 = V781013. assign V141505 = V697634. assign V946128 = V552003. assign V516262 = V384798. assign V393320 = V176062 + 1. assign V280186 = V022531. assign V264844 = V844141 - 1. assign V410995 = V950937 + 1. assign V034385 = V088907. assign V478415 = V088907 + 1. assign V097500 = V406435. assign V251938 = V799369. assign V659441 = V362679 + 1. assign V473166 = V994138 + 1. assign V475238 = V659441 - 1. assign V723114 = V664872 + 1. assign V934622 = V244255. assign V813137 = V516262 + 1. assign V936328 = V613280 + 1. assign V534457 = V744109 + 1. assign V552201 = V319385 + 1. assign V057253 = V902548.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV674201 = 4;\n\nFrom these direct assignment(s), we have: \nV837956 = V674201 = 4;\nNo other variables can be derived from V837956;\nNo other variables can be derived from V674201;\n\nNow we have done all the calculations. Derived variables are:\nV674201 = 4;\nV837956 = 4;\n\nNow we have finished this problem. ANSWER:\nV674201, V837956\n", "role": "assistant" } ]

[ "V579096" ]

[ { "content": "<context>\nassign V183887 = V236690. assign V040695 = V777401. assign V292747 = V748308 - 1. assign V557566 = V713897 + 1. assign V748308 = V349166 + 1. assign V611461 = V849587 + 1. assign V920024 = V040695 - 1. assign V759697 = V422871. assign V983370 = V236690 + 1. assign V236690 = V874810 + 1. assign V130425 = V139551. assign V545906 = V777401 + 1. assign V009255 = V983370 - 1. assign V505420 = V392080 + 1. assign V713897 = V777401 - 1. assign V477143 = V918205. assign V934831 = V874810 + 1. assign V791578 = V371701 + 1. assign V096304 = V392080 + 1. assign V603738 = V197466. assign V510043 = V777401. assign V543251 = V379529. assign V717181 = V251975 + 1. assign V177874 = V251975 + 1. assign V748778 = V920024 + 1. assign V763612 = V674883 + 1. assign V423127 = V001010. assign V751082 = V422871 + 1. assign V484390 = V751082. assign V113824 = V197466. assign V392080 = V197466. assign V020601 = V001010. assign V349166 = V379529 + 1. assign V540764 = V505420 - 1. assign V427840 = V349166 - 1. assign V301630 = V625191. assign V422871 = V001010. assign V037061 = V263426. assign V263426 = V422871. assign V239415 = V197466 - 1. assign V868169 = V236690. assign V545652 = V874810. assign V828351 = V579096 - 1. assign V874810 = V777401. assign V747964 = V751082. assign V371701 = V251975 + 1. assign V646671 = V747964. assign V901714 = V934831. assign V674883 = V236690. assign V849587 = V197466. assign V768702 = V660561 - 1. assign V350975 = V414468. assign V412090 = V139551 - 1. assign V001010 = V557566. assign V639417 = V273672 + 1. assign V918205 = V768702. assign V139551 = V009255 + 1. assign V685007 = V379529 + 1. assign V133095 = V759697. assign V265728 = V197466 - 1. assign V034924 = V251975 + 1. assign V579096 = 4. assign V113564 = V533200 + 1. assign V190187 = V920024 - 1. assign V993789 = V404433 + 1. assign V052428 = V020601 - 1. assign V660561 = V251975 - 1. assign V625191 = V404433. assign V197466 = V751082 - 1. assign V056742 = V001010 + 1. assign V379529 = V849587. assign V155757 = V717181 - 1. assign V615905 = V056742 + 1. assign V789022 = V545652 + 1. assign V404433 = V236690 + 1. assign V414468 = V983370 - 1. assign V251975 = V868169 - 1. assign V812635 = V748778. assign V273672 = V052428 + 1. assign V076318 = V748308 - 1. assign V367672 = V983370 - 1. assign V014366 = V349166. assign V894901 = V768702 - 1. assign V533200 = V034924. assign V421427 = V920024. assign V133197 = V421427 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V183887 = V236690. assign V040695 = V777401. assign V292747 = V748308 - 1. assign V557566 = V713897 + 1. assign V748308 = V349166 + 1. assign V611461 = V849587 + 1. assign V920024 = V040695 - 1. assign V759697 = V422871. assign V983370 = V236690 + 1. assign V236690 = V874810 + 1. assign V130425 = V139551. assign V545906 = V777401 + 1. assign V009255 = V983370 - 1. assign V505420 = V392080 + 1. assign V713897 = V777401 - 1. assign V477143 = V918205. assign V934831 = V874810 + 1. assign V791578 = V371701 + 1. assign V096304 = V392080 + 1. assign V603738 = V197466. assign V510043 = V777401. assign V543251 = V379529. assign V717181 = V251975 + 1. assign V177874 = V251975 + 1. assign V748778 = V920024 + 1. assign V763612 = V674883 + 1. assign V423127 = V001010. assign V751082 = V422871 + 1. assign V484390 = V751082. assign V113824 = V197466. assign V392080 = V197466. assign V020601 = V001010. assign V349166 = V379529 + 1. assign V540764 = V505420 - 1. assign V427840 = V349166 - 1. assign V301630 = V625191. assign V422871 = V001010. assign V037061 = V263426. assign V263426 = V422871. assign V239415 = V197466 - 1. assign V868169 = V236690. assign V545652 = V874810. assign V828351 = V579096 - 1. assign V874810 = V777401. assign V747964 = V751082. assign V371701 = V251975 + 1. assign V646671 = V747964. assign V901714 = V934831. assign V674883 = V236690. assign V849587 = V197466. assign V768702 = V660561 - 1. assign V350975 = V414468. assign V412090 = V139551 - 1. assign V001010 = V557566. assign V639417 = V273672 + 1. assign V918205 = V768702. assign V139551 = V009255 + 1. assign V685007 = V379529 + 1. assign V133095 = V759697. assign V265728 = V197466 - 1. assign V034924 = V251975 + 1. assign V579096 = 4. assign V113564 = V533200 + 1. assign V190187 = V920024 - 1. assign V993789 = V404433 + 1. assign V052428 = V020601 - 1. assign V660561 = V251975 - 1. assign V625191 = V404433. assign V197466 = V751082 - 1. assign V056742 = V001010 + 1. assign V379529 = V849587. assign V155757 = V717181 - 1. assign V615905 = V056742 + 1. assign V789022 = V545652 + 1. assign V404433 = V236690 + 1. assign V414468 = V983370 - 1. assign V251975 = V868169 - 1. assign V812635 = V748778. assign V273672 = V052428 + 1. assign V076318 = V748308 - 1. assign V367672 = V983370 - 1. assign V014366 = V349166. assign V894901 = V768702 - 1. assign V533200 = V034924. assign V421427 = V920024. assign V133197 = V421427 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV579096 = 4;\n\nFrom these direct assignment(s), we have: \nV828351 = V579096 - 1 = 4 - 1 =3;\nNo other variables can be derived from V828351;\nNo other variables can be derived from V579096;\n\nNow we have done all the calculations. Derived variables are:\nV579096 = 4;\nV828351 = 3;\n\nNow we have finished this problem. ANSWER:\nV579096\n", "role": "assistant" } ]

[ "V243558" ]

[ { "content": "<context>\nassign V672522 = V598084 + 1. assign V243558 = V308896 - 1. assign V697369 = V858642. assign V825421 = V683523. assign V920939 = V063819 - 1. assign V733578 = V068722 - 1. assign V469262 = V271399. assign V315201 = V920939 - 1. assign V834426 = V043886 - 1. assign V308896 = 4. assign V949049 = V719833 + 1. assign V917078 = V829258 + 1. assign V390100 = V012012. assign V799746 = V498558. assign V675937 = V523520 - 1. assign V498558 = V197246. assign V441289 = V949049. assign V166871 = V068722. assign V805178 = V515148 - 1. assign V476596 = V683523 + 1. assign V208186 = V645058 + 1. assign V012119 = V523520 - 1. assign V212431 = V316820. assign V648548 = V549352 - 1. assign V778585 = V920939 + 1. assign V970108 = V154396. assign V842757 = V199831. assign V316820 = V068722 + 1. assign V611292 = V799746 + 1. assign V375314 = V645058 + 1. assign V683523 = V884003 + 1. assign V858642 = V611285. assign V009157 = V068722 - 1. assign V334022 = V154396 + 1. assign V012012 = V644505. assign V154396 = V710851 + 1. assign V523520 = V536204 - 1. assign V068722 = V710851. assign V295252 = V858642 - 1. assign V043886 = V858642 + 1. assign V719833 = V063819 + 1. assign V136749 = V345843. assign V716998 = V799746 - 1. assign V556974 = V858642 + 1. assign V645058 = V648548. assign V884003 = V598084. assign V549352 = V212431 - 1. assign V611999 = V611292 - 1. assign V362446 = V842757 + 1. assign V322790 = V316820. assign V391015 = V733578 - 1. assign V101818 = V716998 - 1. assign V598084 = V068722 - 1. assign V515148 = V799746. assign V092605 = V733578 - 1. assign V871745 = V585375. assign V143056 = V799746. assign V624995 = V884003 - 1. assign V634659 = V208186. assign V829258 = V322790 + 1. assign V021289 = V476596 + 1. assign V345843 = V316820. assign V744298 = V498558 - 1. assign V220620 = V644505 + 1. assign V199831 = V068722 + 1. assign V475923 = V568412. assign V129982 = V645058 - 1. assign V189140 = V829258. assign V663513 = V021289 + 1. assign V177553 = V316820. assign V365068 = V220620. assign V197246 = V710851 + 1. assign V585375 = V611285 - 1. assign V429979 = V208186 - 1. assign V536204 = V733578 + 1. assign V568412 = V611285. assign V588179 = V644505 - 1. assign V570183 = V645058. assign V376487 = V719833 + 1. assign V792162 = V515148 + 1. assign V611285 = V199831. assign V063819 = V068722 + 1. assign V271399 = V523520 + 1. assign V240623 = V648548. assign V644505 = V611285 - 1. assign V906664 = V710851 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V672522 = V598084 + 1. assign V243558 = V308896 - 1. assign V697369 = V858642. assign V825421 = V683523. assign V920939 = V063819 - 1. assign V733578 = V068722 - 1. assign V469262 = V271399. assign V315201 = V920939 - 1. assign V834426 = V043886 - 1. assign V308896 = 4. assign V949049 = V719833 + 1. assign V917078 = V829258 + 1. assign V390100 = V012012. assign V799746 = V498558. assign V675937 = V523520 - 1. assign V498558 = V197246. assign V441289 = V949049. assign V166871 = V068722. assign V805178 = V515148 - 1. assign V476596 = V683523 + 1. assign V208186 = V645058 + 1. assign V012119 = V523520 - 1. assign V212431 = V316820. assign V648548 = V549352 - 1. assign V778585 = V920939 + 1. assign V970108 = V154396. assign V842757 = V199831. assign V316820 = V068722 + 1. assign V611292 = V799746 + 1. assign V375314 = V645058 + 1. assign V683523 = V884003 + 1. assign V858642 = V611285. assign V009157 = V068722 - 1. assign V334022 = V154396 + 1. assign V012012 = V644505. assign V154396 = V710851 + 1. assign V523520 = V536204 - 1. assign V068722 = V710851. assign V295252 = V858642 - 1. assign V043886 = V858642 + 1. assign V719833 = V063819 + 1. assign V136749 = V345843. assign V716998 = V799746 - 1. assign V556974 = V858642 + 1. assign V645058 = V648548. assign V884003 = V598084. assign V549352 = V212431 - 1. assign V611999 = V611292 - 1. assign V362446 = V842757 + 1. assign V322790 = V316820. assign V391015 = V733578 - 1. assign V101818 = V716998 - 1. assign V598084 = V068722 - 1. assign V515148 = V799746. assign V092605 = V733578 - 1. assign V871745 = V585375. assign V143056 = V799746. assign V624995 = V884003 - 1. assign V634659 = V208186. assign V829258 = V322790 + 1. assign V021289 = V476596 + 1. assign V345843 = V316820. assign V744298 = V498558 - 1. assign V220620 = V644505 + 1. assign V199831 = V068722 + 1. assign V475923 = V568412. assign V129982 = V645058 - 1. assign V189140 = V829258. assign V663513 = V021289 + 1. assign V177553 = V316820. assign V365068 = V220620. assign V197246 = V710851 + 1. assign V585375 = V611285 - 1. assign V429979 = V208186 - 1. assign V536204 = V733578 + 1. assign V568412 = V611285. assign V588179 = V644505 - 1. assign V570183 = V645058. assign V376487 = V719833 + 1. assign V792162 = V515148 + 1. assign V611285 = V199831. assign V063819 = V068722 + 1. assign V271399 = V523520 + 1. assign V240623 = V648548. assign V644505 = V611285 - 1. assign V906664 = V710851 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV308896 = 4;\n\nFrom these direct assignment(s), we have: \nV243558 = V308896 - 1 = 4 - 1 =3;\nNo other variables can be derived from V243558;\nNo other variables can be derived from V308896;\n\nNow we have done all the calculations. Derived variables are:\nV308896 = 4;\nV243558 = 3;\n\nNow we have finished this problem. ANSWER:\nV243558\n", "role": "assistant" } ]

[ "V370237" ]

[ { "content": "<context>\nassign V467043 = V954318 - 1. assign V568100 = V181436. assign V754579 = V497459. assign V793249 = V204262 - 1. assign V462921 = V225288 - 1. assign V210698 = V110038 - 1. assign V198594 = V181436 + 1. assign V681431 = V111764. assign V739877 = V755110 - 1. assign V611482 = V360423 - 1. assign V621081 = V804983 - 1. assign V441458 = V674287. assign V947022 = V497459. assign V497459 = V674287 + 1. assign V737455 = V568100 + 1. assign V821417 = V462921 - 1. assign V357357 = V181436 - 1. assign V327476 = V966805. assign V360423 = V198594 - 1. assign V770380 = V621081 + 1. assign V695152 = V897328. assign V428465 = V723631. assign V208498 = V181436 + 1. assign V020904 = V225288. assign V891404 = V115163 - 1. assign V225288 = V770380. assign V744425 = V198594 - 1. assign V534092 = V760850 - 1. assign V755110 = V954318 + 1. assign V683118 = V497459 - 1. assign V064910 = V578512 + 1. assign V278856 = V674287. assign V503597 = V770380 - 1. assign V115163 = V201706. assign V111764 = V954318. assign V383798 = V497459. assign V258862 = V319064 - 1. assign V124226 = V849060. assign V849060 = V005581 - 1. assign V137051 = V621081 - 1. assign V181436 = V804983. assign V785149 = V897328. assign V370237 = V899971 + 1. assign V308635 = V204262 - 1. assign V760850 = V770380 + 1. assign V552747 = V737455. assign V671441 = V208498 + 1. assign V234085 = V821417 - 1. assign V578512 = V897328. assign V989298 = V755110 - 1. assign V589718 = V230624 + 1. assign V091340 = V454775 + 1. assign V201706 = V181436. assign V966805 = V111764 - 1. assign V579738 = V258862 + 1. assign V348265 = V770380 + 1. assign V954318 = V204262. assign V738889 = V293171. assign V443026 = V804983 - 1. assign V210200 = V770380 + 1. assign V674287 = V854805. assign V424802 = V443180 + 1. assign V095792 = V966805 + 1. assign V854805 = V181436 - 1. assign V454775 = V954318 + 1. assign V204262 = V804983 + 1. assign V897328 = V760850. assign V206332 = V854805 - 1. assign V080096 = V966805 - 1. assign V504069 = V198594. assign V293171 = V204262. assign V884864 = V947022. assign V867913 = V314482 + 1. assign V005581 = V208498. assign V110038 = V206332 - 1. assign V899971 = 2. assign V161484 = V854805 - 1. assign V314482 = V208498 - 1. assign V979109 = V854805. assign V407722 = V308635 + 1. assign V732897 = V230624. assign V634706 = V348265 - 1. assign V230624 = V954318 - 1. assign V723631 = V760850 - 1. assign V443180 = V849060. assign V319064 = V208498.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V467043 = V954318 - 1. assign V568100 = V181436. assign V754579 = V497459. assign V793249 = V204262 - 1. assign V462921 = V225288 - 1. assign V210698 = V110038 - 1. assign V198594 = V181436 + 1. assign V681431 = V111764. assign V739877 = V755110 - 1. assign V611482 = V360423 - 1. assign V621081 = V804983 - 1. assign V441458 = V674287. assign V947022 = V497459. assign V497459 = V674287 + 1. assign V737455 = V568100 + 1. assign V821417 = V462921 - 1. assign V357357 = V181436 - 1. assign V327476 = V966805. assign V360423 = V198594 - 1. assign V770380 = V621081 + 1. assign V695152 = V897328. assign V428465 = V723631. assign V208498 = V181436 + 1. assign V020904 = V225288. assign V891404 = V115163 - 1. assign V225288 = V770380. assign V744425 = V198594 - 1. assign V534092 = V760850 - 1. assign V755110 = V954318 + 1. assign V683118 = V497459 - 1. assign V064910 = V578512 + 1. assign V278856 = V674287. assign V503597 = V770380 - 1. assign V115163 = V201706. assign V111764 = V954318. assign V383798 = V497459. assign V258862 = V319064 - 1. assign V124226 = V849060. assign V849060 = V005581 - 1. assign V137051 = V621081 - 1. assign V181436 = V804983. assign V785149 = V897328. assign V370237 = V899971 + 1. assign V308635 = V204262 - 1. assign V760850 = V770380 + 1. assign V552747 = V737455. assign V671441 = V208498 + 1. assign V234085 = V821417 - 1. assign V578512 = V897328. assign V989298 = V755110 - 1. assign V589718 = V230624 + 1. assign V091340 = V454775 + 1. assign V201706 = V181436. assign V966805 = V111764 - 1. assign V579738 = V258862 + 1. assign V348265 = V770380 + 1. assign V954318 = V204262. assign V738889 = V293171. assign V443026 = V804983 - 1. assign V210200 = V770380 + 1. assign V674287 = V854805. assign V424802 = V443180 + 1. assign V095792 = V966805 + 1. assign V854805 = V181436 - 1. assign V454775 = V954318 + 1. assign V204262 = V804983 + 1. assign V897328 = V760850. assign V206332 = V854805 - 1. assign V080096 = V966805 - 1. assign V504069 = V198594. assign V293171 = V204262. assign V884864 = V947022. assign V867913 = V314482 + 1. assign V005581 = V208498. assign V110038 = V206332 - 1. assign V899971 = 2. assign V161484 = V854805 - 1. assign V314482 = V208498 - 1. assign V979109 = V854805. assign V407722 = V308635 + 1. assign V732897 = V230624. assign V634706 = V348265 - 1. assign V230624 = V954318 - 1. assign V723631 = V760850 - 1. assign V443180 = V849060. assign V319064 = V208498.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV899971 = 2;\n\nFrom these direct assignment(s), we have: \nV370237 = V899971 + 1 = 2 + 1 =3;\nNo other variables can be derived from V370237;\nNo other variables can be derived from V899971;\n\nNow we have done all the calculations. Derived variables are:\nV899971 = 2;\nV370237 = 3;\n\nNow we have finished this problem. ANSWER:\nV370237\n", "role": "assistant" } ]

[ "V516282" ]

[ { "content": "<context>\nassign V885711 = V071795 - 1. assign V884111 = V563888 - 1. assign V254534 = V964529 + 1. assign V584306 = V806998 + 1. assign V205530 = V739906 + 1. assign V843311 = V156180 - 1. assign V177635 = V087290 + 1. assign V134064 = V587567 + 1. assign V425105 = V024537 + 1. assign V587567 = V843311. assign V553750 = V156180 - 1. assign V743921 = V117714 - 1. assign V738258 = 10. assign V836500 = V600501 - 1. assign V117714 = V512404 - 1. assign V638556 = V477496 + 1. assign V187852 = V079976 - 1. assign V663132 = V187852. assign V512404 = V584306 - 1. assign V786974 = V226209 - 1. assign V761228 = V574543. assign V212681 = V353519 - 1. assign V328067 = V587567 - 1. assign V390818 = V250455. assign V024537 = V079976 + 1. assign V663050 = V087290 - 1. assign V928039 = V353519. assign V964529 = V341339 + 1. assign V605139 = V553750. assign V109898 = V964529. assign V749418 = V836500 + 1. assign V458003 = V318600 - 1. assign V574543 = V623880 - 1. assign V749982 = V882552. assign V636153 = V885711 + 1. assign V569312 = V761228. assign V353519 = V806998 + 1. assign V572310 = V205530 + 1. assign V477496 = V587567 - 1. assign V563888 = V752299. assign V628819 = V508640. assign V661754 = V837696 - 1. assign V837696 = V326565 + 1. assign V839749 = V079976 + 1. assign V516282 = V738258 + 1. assign V320825 = V190336. assign V806998 = V156180. assign V250455 = V553750 - 1. assign V882552 = V550762. assign V556042 = V600501. assign V087290 = V928039 - 1. assign V511888 = V600501. assign V553868 = V250455. assign V752299 = V134064 - 1. assign V214579 = V837696 + 1. assign V109528 = V749418. assign V326565 = V477496. assign V623880 = V843311. assign V189563 = V569312 + 1. assign V550762 = V600501. assign V739906 = V806998 - 1. assign V701518 = V087965 - 1. assign V139360 = V187852 + 1. assign V316392 = V587567. assign V346013 = V845322 - 1. assign V226209 = V663050 + 1. assign V600501 = V353519. assign V190336 = V071795 + 1. assign V508640 = V839749. assign V237918 = V587567 + 1. assign V071795 = V553750. assign V079976 = V553750. assign V578333 = V743921 + 1. assign V341339 = V079976 + 1. assign V087965 = V134064 + 1. assign V280971 = V155711. assign V047378 = V214579. assign V894621 = V079976. assign V309097 = V155711 + 1. assign V845322 = V214579 - 1. assign V318600 = V477496 + 1. assign V015290 = V079976. assign V340967 = V508640 - 1. assign V622833 = V155711. assign V840616 = V836500. assign V155711 = V553750 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 11.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V885711 = V071795 - 1. assign V884111 = V563888 - 1. assign V254534 = V964529 + 1. assign V584306 = V806998 + 1. assign V205530 = V739906 + 1. assign V843311 = V156180 - 1. assign V177635 = V087290 + 1. assign V134064 = V587567 + 1. assign V425105 = V024537 + 1. assign V587567 = V843311. assign V553750 = V156180 - 1. assign V743921 = V117714 - 1. assign V738258 = 10. assign V836500 = V600501 - 1. assign V117714 = V512404 - 1. assign V638556 = V477496 + 1. assign V187852 = V079976 - 1. assign V663132 = V187852. assign V512404 = V584306 - 1. assign V786974 = V226209 - 1. assign V761228 = V574543. assign V212681 = V353519 - 1. assign V328067 = V587567 - 1. assign V390818 = V250455. assign V024537 = V079976 + 1. assign V663050 = V087290 - 1. assign V928039 = V353519. assign V964529 = V341339 + 1. assign V605139 = V553750. assign V109898 = V964529. assign V749418 = V836500 + 1. assign V458003 = V318600 - 1. assign V574543 = V623880 - 1. assign V749982 = V882552. assign V636153 = V885711 + 1. assign V569312 = V761228. assign V353519 = V806998 + 1. assign V572310 = V205530 + 1. assign V477496 = V587567 - 1. assign V563888 = V752299. assign V628819 = V508640. assign V661754 = V837696 - 1. assign V837696 = V326565 + 1. assign V839749 = V079976 + 1. assign V516282 = V738258 + 1. assign V320825 = V190336. assign V806998 = V156180. assign V250455 = V553750 - 1. assign V882552 = V550762. assign V556042 = V600501. assign V087290 = V928039 - 1. assign V511888 = V600501. assign V553868 = V250455. assign V752299 = V134064 - 1. assign V214579 = V837696 + 1. assign V109528 = V749418. assign V326565 = V477496. assign V623880 = V843311. assign V189563 = V569312 + 1. assign V550762 = V600501. assign V739906 = V806998 - 1. assign V701518 = V087965 - 1. assign V139360 = V187852 + 1. assign V316392 = V587567. assign V346013 = V845322 - 1. assign V226209 = V663050 + 1. assign V600501 = V353519. assign V190336 = V071795 + 1. assign V508640 = V839749. assign V237918 = V587567 + 1. assign V071795 = V553750. assign V079976 = V553750. assign V578333 = V743921 + 1. assign V341339 = V079976 + 1. assign V087965 = V134064 + 1. assign V280971 = V155711. assign V047378 = V214579. assign V894621 = V079976. assign V309097 = V155711 + 1. assign V845322 = V214579 - 1. assign V318600 = V477496 + 1. assign V015290 = V079976. assign V340967 = V508640 - 1. assign V622833 = V155711. assign V840616 = V836500. assign V155711 = V553750 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 11.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV738258 = 10;\n\nFrom these direct assignment(s), we have: \nV516282 = V738258 + 1 = 10 + 1 =11;\nNo other variables can be derived from V516282;\nNo other variables can be derived from V738258;\n\nNow we have done all the calculations. Derived variables are:\nV738258 = 10;\nV516282 = 11;\n\nNow we have finished this problem. ANSWER:\nV516282\n", "role": "assistant" } ]

[ "V229583", "V833716" ]

[ { "content": "<context>\nassign V373804 = V708502. assign V603907 = V944416 - 1. assign V099181 = V083430. assign V207807 = V613530. assign V382365 = V183650. assign V630510 = V916391 + 1. assign V949375 = V784009 - 1. assign V717440 = V650555. assign V066862 = V269579 - 1. assign V833716 = V229583. assign V204292 = V572203 + 1. assign V157611 = V137247 - 1. assign V258256 = V269579 + 1. assign V101814 = V829246 - 1. assign V572203 = V083430. assign V489873 = V101814. assign V036309 = V650555 - 1. assign V032621 = V269579. assign V280515 = V489873. assign V180714 = V090054. assign V878509 = V419484 - 1. assign V570975 = V784009. assign V287846 = V261717 + 1. assign V613530 = V784009 + 1. assign V161607 = V183650. assign V241064 = V572203. assign V333098 = V023536 + 1. assign V461167 = V161607 + 1. assign V846360 = V871767. assign V023536 = V161607 - 1. assign V163223 = V099181. assign V623788 = V137247. assign V726519 = V066862. assign V137247 = V066862. assign V183650 = V507648 + 1. assign V816302 = V781252. assign V507648 = V066862. assign V781252 = V534318. assign V738945 = V434562 - 1. assign V120894 = V717440 + 1. assign V784009 = V066862 - 1. assign V871767 = V815363 - 1. assign V381561 = V207807 - 1. assign V811528 = V083430 - 1. assign V733107 = V269579 - 1. assign V123908 = V241064 + 1. assign V650555 = V137247 + 1. assign V229583 = 8. assign V339817 = V733107 - 1. assign V678813 = V603907 - 1. assign V642544 = V726519 - 1. assign V998274 = V207807. assign V372867 = V630510. assign V945509 = V261717. assign V337668 = V458025 + 1. assign V123086 = V913440. assign V261717 = V269579 - 1. assign V587513 = V269579 - 1. assign V362482 = V333098 - 1. assign V913440 = V032621 + 1. assign V693241 = V258256 + 1. assign V780309 = V675714 - 1. assign V393560 = V120894 - 1. assign V293938 = V717440 - 1. assign V104768 = V816302 - 1. assign V083430 = V570975 - 1. assign V944416 = V708502 - 1. assign V458025 = V878509 + 1. assign V829246 = V269579. assign V916391 = V137247. assign V090054 = V733107 - 1. assign V434562 = V137247. assign V530765 = V726519 - 1. assign V187361 = V708502 + 1. assign V524121 = V829246. assign V419484 = V916391. assign V744840 = V287846. assign V546838 = V382365 - 1. assign V534318 = V083430. assign V022998 = V434562. assign V013722 = V419484 + 1. assign V815363 = V534318. assign V708502 = V570975 + 1. assign V675714 = V269579. assign V882760 = V944416 + 1. assign V859531 = V157611.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V373804 = V708502. assign V603907 = V944416 - 1. assign V099181 = V083430. assign V207807 = V613530. assign V382365 = V183650. assign V630510 = V916391 + 1. assign V949375 = V784009 - 1. assign V717440 = V650555. assign V066862 = V269579 - 1. assign V833716 = V229583. assign V204292 = V572203 + 1. assign V157611 = V137247 - 1. assign V258256 = V269579 + 1. assign V101814 = V829246 - 1. assign V572203 = V083430. assign V489873 = V101814. assign V036309 = V650555 - 1. assign V032621 = V269579. assign V280515 = V489873. assign V180714 = V090054. assign V878509 = V419484 - 1. assign V570975 = V784009. assign V287846 = V261717 + 1. assign V613530 = V784009 + 1. assign V161607 = V183650. assign V241064 = V572203. assign V333098 = V023536 + 1. assign V461167 = V161607 + 1. assign V846360 = V871767. assign V023536 = V161607 - 1. assign V163223 = V099181. assign V623788 = V137247. assign V726519 = V066862. assign V137247 = V066862. assign V183650 = V507648 + 1. assign V816302 = V781252. assign V507648 = V066862. assign V781252 = V534318. assign V738945 = V434562 - 1. assign V120894 = V717440 + 1. assign V784009 = V066862 - 1. assign V871767 = V815363 - 1. assign V381561 = V207807 - 1. assign V811528 = V083430 - 1. assign V733107 = V269579 - 1. assign V123908 = V241064 + 1. assign V650555 = V137247 + 1. assign V229583 = 8. assign V339817 = V733107 - 1. assign V678813 = V603907 - 1. assign V642544 = V726519 - 1. assign V998274 = V207807. assign V372867 = V630510. assign V945509 = V261717. assign V337668 = V458025 + 1. assign V123086 = V913440. assign V261717 = V269579 - 1. assign V587513 = V269579 - 1. assign V362482 = V333098 - 1. assign V913440 = V032621 + 1. assign V693241 = V258256 + 1. assign V780309 = V675714 - 1. assign V393560 = V120894 - 1. assign V293938 = V717440 - 1. assign V104768 = V816302 - 1. assign V083430 = V570975 - 1. assign V944416 = V708502 - 1. assign V458025 = V878509 + 1. assign V829246 = V269579. assign V916391 = V137247. assign V090054 = V733107 - 1. assign V434562 = V137247. assign V530765 = V726519 - 1. assign V187361 = V708502 + 1. assign V524121 = V829246. assign V419484 = V916391. assign V744840 = V287846. assign V546838 = V382365 - 1. assign V534318 = V083430. assign V022998 = V434562. assign V013722 = V419484 + 1. assign V815363 = V534318. assign V708502 = V570975 + 1. assign V675714 = V269579. assign V882760 = V944416 + 1. assign V859531 = V157611.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV229583 = 8;\n\nFrom these direct assignment(s), we have: \nV833716 = V229583 = 8;\nNo other variables can be derived from V833716;\nNo other variables can be derived from V229583;\n\nNow we have done all the calculations. Derived variables are:\nV229583 = 8;\nV833716 = 8;\n\nNow we have finished this problem. ANSWER:\nV229583, V833716\n", "role": "assistant" } ]

[ "V392898", "V512377" ]

[ { "content": "<context>\nassign V234260 = V760525 - 1. assign V214720 = V465765 - 1. assign V263302 = V608378 + 1. assign V401006 = V175607 + 1. assign V465765 = V163145. assign V334993 = V672208 - 1. assign V163145 = V175607. assign V479562 = V849160 + 1. assign V867842 = V907583 - 1. assign V972113 = V385729 + 1. assign V027924 = V881419 - 1. assign V840749 = V664910. assign V286849 = V392121 + 1. assign V915306 = V929897 + 1. assign V338045 = V734839 + 1. assign V490904 = V181033 + 1. assign V727389 = V088823 - 1. assign V088823 = V840749 + 1. assign V769363 = V802364 + 1. assign V734839 = V041992. assign V840258 = V802364. assign V219647 = V052700. assign V147078 = V881419 + 1. assign V000620 = V392121 - 1. assign V235256 = V929897 + 1. assign V277773 = V219647 - 1. assign V264541 = V046735 - 1. assign V907583 = V752722 + 1. assign V684260 = V175607 - 1. assign V583306 = V929897 + 1. assign V195184 = V727392 + 1. assign V782980 = V448807 - 1. assign V310941 = V392121 - 1. assign V204910 = V395507 + 1. assign V694632 = V465765. assign V256856 = V919400 - 1. assign V183729 = V658780 + 1. assign V466095 = V052700 - 1. assign V181033 = V658780 + 1. assign V664910 = V392121 + 1. assign V670996 = V338045 + 1. assign V528625 = V727392. assign V285973 = V351839 + 1. assign V727392 = V175607 - 1. assign V881419 = V286849 + 1. assign V916395 = V849160. assign V814530 = V907583 - 1. assign V250814 = V052700 + 1. assign V052700 = V849160. assign V138278 = V173950 - 1. assign V395507 = V479562 + 1. assign V320193 = V849160 - 1. assign V512377 = V392898. assign V509420 = V814530 + 1. assign V608378 = V782980 + 1. assign V279294 = V802364 + 1. assign V622465 = V277773 + 1. assign V392898 = 10. assign V175607 = V310941 - 1. assign V041992 = V052700 - 1. assign V370603 = V251152. assign V187733 = V234260 + 1. assign V658780 = V752722 + 1. assign V534396 = V285973. assign V319538 = V351839 + 1. assign V385729 = V760525 - 1. assign V046735 = V432921 + 1. assign V309532 = V277773. assign V322619 = V760525 - 1. assign V173950 = V041992. assign V392121 = V052700 + 1. assign V752722 = V929897. assign V189220 = V251152. assign V672208 = V175607 + 1. assign V251152 = V041992. assign V919400 = V052700 + 1. assign V432921 = V919400. assign V929897 = V479562 + 1. assign V101699 = V448807. assign V709438 = V147078. assign V760525 = V277773. assign V915445 = V101699 + 1. assign V802364 = V000620 + 1. assign V448807 = V919400 + 1. assign V351839 = V277773 - 1. assign V473498 = V338045 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V234260 = V760525 - 1. assign V214720 = V465765 - 1. assign V263302 = V608378 + 1. assign V401006 = V175607 + 1. assign V465765 = V163145. assign V334993 = V672208 - 1. assign V163145 = V175607. assign V479562 = V849160 + 1. assign V867842 = V907583 - 1. assign V972113 = V385729 + 1. assign V027924 = V881419 - 1. assign V840749 = V664910. assign V286849 = V392121 + 1. assign V915306 = V929897 + 1. assign V338045 = V734839 + 1. assign V490904 = V181033 + 1. assign V727389 = V088823 - 1. assign V088823 = V840749 + 1. assign V769363 = V802364 + 1. assign V734839 = V041992. assign V840258 = V802364. assign V219647 = V052700. assign V147078 = V881419 + 1. assign V000620 = V392121 - 1. assign V235256 = V929897 + 1. assign V277773 = V219647 - 1. assign V264541 = V046735 - 1. assign V907583 = V752722 + 1. assign V684260 = V175607 - 1. assign V583306 = V929897 + 1. assign V195184 = V727392 + 1. assign V782980 = V448807 - 1. assign V310941 = V392121 - 1. assign V204910 = V395507 + 1. assign V694632 = V465765. assign V256856 = V919400 - 1. assign V183729 = V658780 + 1. assign V466095 = V052700 - 1. assign V181033 = V658780 + 1. assign V664910 = V392121 + 1. assign V670996 = V338045 + 1. assign V528625 = V727392. assign V285973 = V351839 + 1. assign V727392 = V175607 - 1. assign V881419 = V286849 + 1. assign V916395 = V849160. assign V814530 = V907583 - 1. assign V250814 = V052700 + 1. assign V052700 = V849160. assign V138278 = V173950 - 1. assign V395507 = V479562 + 1. assign V320193 = V849160 - 1. assign V512377 = V392898. assign V509420 = V814530 + 1. assign V608378 = V782980 + 1. assign V279294 = V802364 + 1. assign V622465 = V277773 + 1. assign V392898 = 10. assign V175607 = V310941 - 1. assign V041992 = V052700 - 1. assign V370603 = V251152. assign V187733 = V234260 + 1. assign V658780 = V752722 + 1. assign V534396 = V285973. assign V319538 = V351839 + 1. assign V385729 = V760525 - 1. assign V046735 = V432921 + 1. assign V309532 = V277773. assign V322619 = V760525 - 1. assign V173950 = V041992. assign V392121 = V052700 + 1. assign V752722 = V929897. assign V189220 = V251152. assign V672208 = V175607 + 1. assign V251152 = V041992. assign V919400 = V052700 + 1. assign V432921 = V919400. assign V929897 = V479562 + 1. assign V101699 = V448807. assign V709438 = V147078. assign V760525 = V277773. assign V915445 = V101699 + 1. assign V802364 = V000620 + 1. assign V448807 = V919400 + 1. assign V351839 = V277773 - 1. assign V473498 = V338045 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV392898 = 10;\n\nFrom these direct assignment(s), we have: \nV512377 = V392898 = 10;\nNo other variables can be derived from V512377;\nNo other variables can be derived from V392898;\n\nNow we have done all the calculations. Derived variables are:\nV392898 = 10;\nV512377 = 10;\n\nNow we have finished this problem. ANSWER:\nV392898, V512377\n", "role": "assistant" } ]

[ "V191697" ]

[ { "content": "<context>\nassign V281147 = V387241 + 1. assign V152257 = V350083 + 1. assign V121335 = V003368. assign V356469 = V679813 - 1. assign V403015 = V256312. assign V425113 = V977191. assign V353385 = V376833. assign V561827 = V350083. assign V219603 = V242162 + 1. assign V923474 = V356469 - 1. assign V433514 = V183356 + 1. assign V142590 = V242162. assign V986780 = V219603 - 1. assign V672277 = V242162 - 1. assign V029510 = V753421 - 1. assign V694891 = V977191 + 1. assign V486366 = V152293 + 1. assign V848229 = V433514. assign V387083 = V664941 - 1. assign V183356 = V003368 + 1. assign V467446 = V219603. assign V340189 = V469745. assign V560804 = V664941. assign V728493 = V697204. assign V753421 = V469745. assign V182869 = V923474. assign V772598 = V552462 - 1. assign V985970 = V387083. assign V408851 = V977191 + 1. assign V092354 = V467446 - 1. assign V555847 = V672277 + 1. assign V003368 = V001660. assign V869884 = V219603 + 1. assign V001660 = V697204. assign V557460 = V592019 - 1. assign V892407 = V672277. assign V675150 = V801044 + 1. assign V152293 = V728493 - 1. assign V256312 = V672277. assign V191697 = V127141 + 1. assign V258029 = V142590. assign V671164 = V469745 - 1. assign V128338 = V408851 - 1. assign V536642 = V555847 + 1. assign V376833 = V899215 - 1. assign V707937 = V003368 - 1. assign V737876 = V671164 - 1. assign V349855 = V387083 + 1. assign V134338 = V167089 - 1. assign V697204 = V242162 - 1. assign V782714 = V356469 + 1. assign V275026 = V892407 - 1. assign V397912 = V530762 + 1. assign V470009 = V387241 + 1. assign V679813 = V672277. assign V664941 = V561827. assign V410480 = V684959 - 1. assign V899215 = V672277. assign V019188 = V152257. assign V977191 = V679813. assign V290837 = V923474 - 1. assign V885567 = V219603. assign V301495 = V684959 - 1. assign V183141 = V258029. assign V160409 = V356469 - 1. assign V350083 = V242162 - 1. assign V933225 = V128338. assign V552462 = V977191 - 1. assign V894468 = V290837. assign V167089 = V672277 - 1. assign V845335 = V671164 - 1. assign V025750 = V242162 + 1. assign V127141 = 0. assign V159858 = V128338 - 1. assign V945339 = V231218. assign V882968 = V679813 + 1. assign V530762 = V772598 - 1. assign V387241 = V671164 + 1. assign V801044 = V469745 + 1. assign V592019 = V242162 + 1. assign V102291 = V387241. assign V714115 = V408851 - 1. assign V469745 = V697204 + 1. assign V231218 = V142590. assign V684959 = V923474 - 1. assign V626788 = V219603 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V281147 = V387241 + 1. assign V152257 = V350083 + 1. assign V121335 = V003368. assign V356469 = V679813 - 1. assign V403015 = V256312. assign V425113 = V977191. assign V353385 = V376833. assign V561827 = V350083. assign V219603 = V242162 + 1. assign V923474 = V356469 - 1. assign V433514 = V183356 + 1. assign V142590 = V242162. assign V986780 = V219603 - 1. assign V672277 = V242162 - 1. assign V029510 = V753421 - 1. assign V694891 = V977191 + 1. assign V486366 = V152293 + 1. assign V848229 = V433514. assign V387083 = V664941 - 1. assign V183356 = V003368 + 1. assign V467446 = V219603. assign V340189 = V469745. assign V560804 = V664941. assign V728493 = V697204. assign V753421 = V469745. assign V182869 = V923474. assign V772598 = V552462 - 1. assign V985970 = V387083. assign V408851 = V977191 + 1. assign V092354 = V467446 - 1. assign V555847 = V672277 + 1. assign V003368 = V001660. assign V869884 = V219603 + 1. assign V001660 = V697204. assign V557460 = V592019 - 1. assign V892407 = V672277. assign V675150 = V801044 + 1. assign V152293 = V728493 - 1. assign V256312 = V672277. assign V191697 = V127141 + 1. assign V258029 = V142590. assign V671164 = V469745 - 1. assign V128338 = V408851 - 1. assign V536642 = V555847 + 1. assign V376833 = V899215 - 1. assign V707937 = V003368 - 1. assign V737876 = V671164 - 1. assign V349855 = V387083 + 1. assign V134338 = V167089 - 1. assign V697204 = V242162 - 1. assign V782714 = V356469 + 1. assign V275026 = V892407 - 1. assign V397912 = V530762 + 1. assign V470009 = V387241 + 1. assign V679813 = V672277. assign V664941 = V561827. assign V410480 = V684959 - 1. assign V899215 = V672277. assign V019188 = V152257. assign V977191 = V679813. assign V290837 = V923474 - 1. assign V885567 = V219603. assign V301495 = V684959 - 1. assign V183141 = V258029. assign V160409 = V356469 - 1. assign V350083 = V242162 - 1. assign V933225 = V128338. assign V552462 = V977191 - 1. assign V894468 = V290837. assign V167089 = V672277 - 1. assign V845335 = V671164 - 1. assign V025750 = V242162 + 1. assign V127141 = 0. assign V159858 = V128338 - 1. assign V945339 = V231218. assign V882968 = V679813 + 1. assign V530762 = V772598 - 1. assign V387241 = V671164 + 1. assign V801044 = V469745 + 1. assign V592019 = V242162 + 1. assign V102291 = V387241. assign V714115 = V408851 - 1. assign V469745 = V697204 + 1. assign V231218 = V142590. assign V684959 = V923474 - 1. assign V626788 = V219603 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV127141 = 0;\n\nFrom these direct assignment(s), we have: \nV191697 = V127141 + 1 = 0 + 1 =1;\nNo other variables can be derived from V191697;\nNo other variables can be derived from V127141;\n\nNow we have done all the calculations. Derived variables are:\nV127141 = 0;\nV191697 = 1;\n\nNow we have finished this problem. ANSWER:\nV191697\n", "role": "assistant" } ]

[ "V682846", "V930295" ]

[ { "content": "<context>\nassign V442763 = V003239 - 1. assign V340896 = V337133 - 1. assign V807508 = V003239 + 1. assign V400031 = V891677 - 1. assign V166788 = V208908 + 1. assign V555796 = V563911. assign V303549 = V127720. assign V580299 = V135941 - 1. assign V339439 = V596668. assign V274615 = V721740 - 1. assign V969649 = V810505 - 1. assign V974349 = V712117 - 1. assign V596092 = V003239 + 1. assign V326296 = V492705. assign V116818 = V166788 - 1. assign V191546 = V337133 - 1. assign V774423 = V127720. assign V849283 = V599014 - 1. assign V621813 = V738681. assign V698038 = V764516. assign V549260 = V563911. assign V337133 = V596668 - 1. assign V930295 = V682846. assign V227587 = V947236. assign V362998 = V807508 - 1. assign V703135 = V555796. assign V237087 = V303549 - 1. assign V942588 = V563911 - 1. assign V003472 = V764516 + 1. assign V872288 = V235110 - 1. assign V645758 = V698038 - 1. assign V682846 = 10. assign V235110 = V563911 + 1. assign V501103 = V563911 - 1. assign V021665 = V548069. assign V926301 = V442763 + 1. assign V648151 = V891677. assign V947236 = V166788 + 1. assign V141151 = V462853 + 1. assign V377157 = V499276. assign V127720 = V807508 + 1. assign V749683 = V872288. assign V104950 = V849283 + 1. assign V561850 = V471605 - 1. assign V526278 = V462853 - 1. assign V721740 = V127720 - 1. assign V462853 = V003239. assign V643142 = V208908. assign V912133 = V227587. assign V730241 = V026155 - 1. assign V878866 = V235110 - 1. assign V764516 = V127720 - 1. assign V999915 = V492705 - 1. assign V534441 = V400031 - 1. assign V788545 = V599014 + 1. assign V564694 = V643142. assign V625795 = V003239 - 1. assign V208908 = V499276. assign V738681 = V807508 - 1. assign V484793 = V291131 + 1. assign V026155 = V227587. assign V709570 = V891677 + 1. assign V426100 = V878866. assign V000730 = V021665 - 1. assign V384106 = V141151 + 1. assign V891677 = V548069 - 1. assign V596668 = V127720. assign V810505 = V555796. assign V018638 = V721740. assign V306873 = V774423 + 1. assign V548069 = V291131 - 1. assign V315284 = V912133 + 1. assign V291131 = V555796 - 1. assign V712117 = V340896 - 1. assign V499276 = V235110. assign V437512 = V580299 + 1. assign V289695 = V563911 - 1. assign V003239 = V555796 - 1. assign V135941 = V208908. assign V471605 = V878866 - 1. assign V599014 = V942588 + 1. assign V728761 = V738681 - 1. assign V492705 = V484793. assign V646839 = V462853. assign V385015 = V730241 - 1. assign V697356 = V703135 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V442763 = V003239 - 1. assign V340896 = V337133 - 1. assign V807508 = V003239 + 1. assign V400031 = V891677 - 1. assign V166788 = V208908 + 1. assign V555796 = V563911. assign V303549 = V127720. assign V580299 = V135941 - 1. assign V339439 = V596668. assign V274615 = V721740 - 1. assign V969649 = V810505 - 1. assign V974349 = V712117 - 1. assign V596092 = V003239 + 1. assign V326296 = V492705. assign V116818 = V166788 - 1. assign V191546 = V337133 - 1. assign V774423 = V127720. assign V849283 = V599014 - 1. assign V621813 = V738681. assign V698038 = V764516. assign V549260 = V563911. assign V337133 = V596668 - 1. assign V930295 = V682846. assign V227587 = V947236. assign V362998 = V807508 - 1. assign V703135 = V555796. assign V237087 = V303549 - 1. assign V942588 = V563911 - 1. assign V003472 = V764516 + 1. assign V872288 = V235110 - 1. assign V645758 = V698038 - 1. assign V682846 = 10. assign V235110 = V563911 + 1. assign V501103 = V563911 - 1. assign V021665 = V548069. assign V926301 = V442763 + 1. assign V648151 = V891677. assign V947236 = V166788 + 1. assign V141151 = V462853 + 1. assign V377157 = V499276. assign V127720 = V807508 + 1. assign V749683 = V872288. assign V104950 = V849283 + 1. assign V561850 = V471605 - 1. assign V526278 = V462853 - 1. assign V721740 = V127720 - 1. assign V462853 = V003239. assign V643142 = V208908. assign V912133 = V227587. assign V730241 = V026155 - 1. assign V878866 = V235110 - 1. assign V764516 = V127720 - 1. assign V999915 = V492705 - 1. assign V534441 = V400031 - 1. assign V788545 = V599014 + 1. assign V564694 = V643142. assign V625795 = V003239 - 1. assign V208908 = V499276. assign V738681 = V807508 - 1. assign V484793 = V291131 + 1. assign V026155 = V227587. assign V709570 = V891677 + 1. assign V426100 = V878866. assign V000730 = V021665 - 1. assign V384106 = V141151 + 1. assign V891677 = V548069 - 1. assign V596668 = V127720. assign V810505 = V555796. assign V018638 = V721740. assign V306873 = V774423 + 1. assign V548069 = V291131 - 1. assign V315284 = V912133 + 1. assign V291131 = V555796 - 1. assign V712117 = V340896 - 1. assign V499276 = V235110. assign V437512 = V580299 + 1. assign V289695 = V563911 - 1. assign V003239 = V555796 - 1. assign V135941 = V208908. assign V471605 = V878866 - 1. assign V599014 = V942588 + 1. assign V728761 = V738681 - 1. assign V492705 = V484793. assign V646839 = V462853. assign V385015 = V730241 - 1. assign V697356 = V703135 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV682846 = 10;\n\nFrom these direct assignment(s), we have: \nV930295 = V682846 = 10;\nNo other variables can be derived from V930295;\nNo other variables can be derived from V682846;\n\nNow we have done all the calculations. Derived variables are:\nV682846 = 10;\nV930295 = 10;\n\nNow we have finished this problem. ANSWER:\nV682846, V930295\n", "role": "assistant" } ]

[ "V898206" ]

[ { "content": "<context>\nassign V306998 = V175054. assign V411271 = V591038. assign V104455 = V955607 + 1. assign V088123 = V770307 - 1. assign V047738 = V893450. assign V127310 = V770307 - 1. assign V259587 = V822533. assign V666440 = V035750 - 1. assign V858450 = V058175. assign V108932 = V306998. assign V304494 = V581803. assign V043029 = V447971 + 1. assign V578948 = V893450 + 1. assign V691705 = V810758 + 1. assign V375169 = V035750 - 1. assign V166388 = V623617 - 1. assign V553279 = V035750 - 1. assign V312953 = V719106 - 1. assign V871575 = V088123 - 1. assign V727126 = V058175. assign V535269 = V871575 - 1. assign V190311 = V719106 - 1. assign V375357 = V293361. assign V617087 = V293361 - 1. assign V628518 = V698410 - 1. assign V017407 = V906721 + 1. assign V182620 = V872650. assign V764025 = V960929 + 1. assign V628181 = V293361. assign V567110 = V544089 - 1. assign V712260 = V872650. assign V898206 = 6. assign V622331 = V719106 + 1. assign V058175 = V757062. assign V564673 = V623617. assign V853390 = V182620 + 1. assign V757062 = V893450 + 1. assign V879222 = V698410. assign V189016 = V666440 - 1. assign V439376 = V628518 - 1. assign V764901 = V247133 + 1. assign V180998 = V898206 + 1. assign V035750 = V293361 - 1. assign V688194 = V517684 + 1. assign V182390 = V485604 - 1. assign V223561 = V306998 + 1. assign V960929 = V047738 - 1. assign V601917 = V190311 - 1. assign V030339 = V960929 + 1. assign V357216 = V104421 - 1. assign V872650 = V088123 + 1. assign V893450 = V581803 + 1. assign V906721 = V893450. assign V400296 = V030339. assign V955607 = V306998. assign V293361 = V757062. assign V719106 = V581803. assign V712776 = V893450. assign V104421 = V719106 + 1. assign V499668 = V104455 + 1. assign V623617 = V293361 - 1. assign V492491 = V893450. assign V591038 = V553279. assign V334040 = V628181. assign V175054 = V719106. assign V544089 = V960929 - 1. assign V310639 = V960929. assign V485604 = V858450 + 1. assign V517684 = V182390. assign V527376 = V104421 - 1. assign V770307 = V757062 - 1. assign V117162 = V030339. assign V822533 = V047738 + 1. assign V419932 = V622331 - 1. assign V561330 = V104455 + 1. assign V649665 = V810758. assign V698410 = V306998 + 1. assign V247133 = V770307 + 1. assign V938713 = V698410 - 1. assign V810758 = V058175 - 1. assign V641636 = V175054. assign V369343 = V375357 - 1. assign V715677 = V293361 - 1. assign V447971 = V375357. assign V182597 = V310639 + 1. assign V983665 = V035750.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V306998 = V175054. assign V411271 = V591038. assign V104455 = V955607 + 1. assign V088123 = V770307 - 1. assign V047738 = V893450. assign V127310 = V770307 - 1. assign V259587 = V822533. assign V666440 = V035750 - 1. assign V858450 = V058175. assign V108932 = V306998. assign V304494 = V581803. assign V043029 = V447971 + 1. assign V578948 = V893450 + 1. assign V691705 = V810758 + 1. assign V375169 = V035750 - 1. assign V166388 = V623617 - 1. assign V553279 = V035750 - 1. assign V312953 = V719106 - 1. assign V871575 = V088123 - 1. assign V727126 = V058175. assign V535269 = V871575 - 1. assign V190311 = V719106 - 1. assign V375357 = V293361. assign V617087 = V293361 - 1. assign V628518 = V698410 - 1. assign V017407 = V906721 + 1. assign V182620 = V872650. assign V764025 = V960929 + 1. assign V628181 = V293361. assign V567110 = V544089 - 1. assign V712260 = V872650. assign V898206 = 6. assign V622331 = V719106 + 1. assign V058175 = V757062. assign V564673 = V623617. assign V853390 = V182620 + 1. assign V757062 = V893450 + 1. assign V879222 = V698410. assign V189016 = V666440 - 1. assign V439376 = V628518 - 1. assign V764901 = V247133 + 1. assign V180998 = V898206 + 1. assign V035750 = V293361 - 1. assign V688194 = V517684 + 1. assign V182390 = V485604 - 1. assign V223561 = V306998 + 1. assign V960929 = V047738 - 1. assign V601917 = V190311 - 1. assign V030339 = V960929 + 1. assign V357216 = V104421 - 1. assign V872650 = V088123 + 1. assign V893450 = V581803 + 1. assign V906721 = V893450. assign V400296 = V030339. assign V955607 = V306998. assign V293361 = V757062. assign V719106 = V581803. assign V712776 = V893450. assign V104421 = V719106 + 1. assign V499668 = V104455 + 1. assign V623617 = V293361 - 1. assign V492491 = V893450. assign V591038 = V553279. assign V334040 = V628181. assign V175054 = V719106. assign V544089 = V960929 - 1. assign V310639 = V960929. assign V485604 = V858450 + 1. assign V517684 = V182390. assign V527376 = V104421 - 1. assign V770307 = V757062 - 1. assign V117162 = V030339. assign V822533 = V047738 + 1. assign V419932 = V622331 - 1. assign V561330 = V104455 + 1. assign V649665 = V810758. assign V698410 = V306998 + 1. assign V247133 = V770307 + 1. assign V938713 = V698410 - 1. assign V810758 = V058175 - 1. assign V641636 = V175054. assign V369343 = V375357 - 1. assign V715677 = V293361 - 1. assign V447971 = V375357. assign V182597 = V310639 + 1. assign V983665 = V035750.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV898206 = 6;\n\nFrom these direct assignment(s), we have: \nV180998 = V898206 + 1 = 6 + 1 =7;\nNo other variables can be derived from V180998;\nNo other variables can be derived from V898206;\n\nNow we have done all the calculations. Derived variables are:\nV898206 = 6;\nV180998 = 7;\n\nNow we have finished this problem. ANSWER:\nV898206\n", "role": "assistant" } ]

[ "V104240" ]

[ { "content": "<context>\nassign V238838 = V880543. assign V801152 = V829032 + 1. assign V106134 = V658151 + 1. assign V270247 = V350636. assign V177647 = V730975 - 1. assign V584736 = V798492 + 1. assign V292860 = V586656 - 1. assign V025241 = V945141 - 1. assign V424705 = V106347 - 1. assign V683141 = V158711 - 1. assign V350636 = V801152. assign V766482 = V287143 + 1. assign V463375 = V829032 + 1. assign V643781 = V658151. assign V695014 = V801152 - 1. assign V055856 = V584736. assign V350394 = V437063. assign V972894 = V880543 - 1. assign V710744 = V004558. assign V066012 = V106134 + 1. assign V984146 = V616590 + 1. assign V119970 = V106347 + 1. assign V927716 = V106134. assign V189183 = V766482 + 1. assign V054665 = V945335 - 1. assign V324402 = V801152. assign V437063 = V078212. assign V158711 = V766482. assign V823952 = V880543 + 1. assign V919930 = V287143 + 1. assign V945335 = V801152 + 1. assign V104240 = 0. assign V587025 = V584736 + 1. assign V983585 = V052241. assign V004558 = V766482 + 1. assign V984641 = V350394 + 1. assign V177477 = V158711. assign V355321 = V829032 + 1. assign V893885 = V504541. assign V945141 = V766482 - 1. assign V468506 = V283120. assign V512318 = V867992. assign V504541 = V106134. assign V663085 = V695014 - 1. assign V616590 = V317102 + 1. assign V336060 = V106347 + 1. assign V803234 = V584736 + 1. assign V283120 = V177442. assign V658151 = V880543 - 1. assign V623341 = V158711. assign V293606 = V287143 - 1. assign V447548 = V653922 - 1. assign V287143 = V972894 - 1. assign V078212 = V119970 - 1. assign V177442 = V658151 + 1. assign V730975 = V052241 - 1. assign V734029 = V004558 - 1. assign V978017 = V823952 - 1. assign V508636 = V787439 - 1. assign V798492 = V137445 + 1. assign V317102 = V324402 + 1. assign V630019 = V424705. assign V879101 = V004558. assign V273780 = V154008 - 1. assign V154008 = V829032 - 1. assign V328434 = V927716. assign V414466 = V238838. assign V787439 = V355321. assign V790481 = V731792 - 1. assign V052241 = V972894. assign V867992 = V798492 + 1. assign V595653 = V827171 + 1. assign V171233 = V106347 + 1. assign V106347 = V829032. assign V061211 = V350636 - 1. assign V829032 = V919930. assign V653922 = V270247 + 1. assign V947765 = V766482 - 1. assign V838225 = V616590 - 1. assign V965587 = V984641. assign V839183 = V104240 - 1. assign V586656 = V004558 + 1. assign V718964 = V106134 - 1. assign V731792 = V658151 + 1. assign V827171 = V893885 + 1. assign V137445 = V658151 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V238838 = V880543. assign V801152 = V829032 + 1. assign V106134 = V658151 + 1. assign V270247 = V350636. assign V177647 = V730975 - 1. assign V584736 = V798492 + 1. assign V292860 = V586656 - 1. assign V025241 = V945141 - 1. assign V424705 = V106347 - 1. assign V683141 = V158711 - 1. assign V350636 = V801152. assign V766482 = V287143 + 1. assign V463375 = V829032 + 1. assign V643781 = V658151. assign V695014 = V801152 - 1. assign V055856 = V584736. assign V350394 = V437063. assign V972894 = V880543 - 1. assign V710744 = V004558. assign V066012 = V106134 + 1. assign V984146 = V616590 + 1. assign V119970 = V106347 + 1. assign V927716 = V106134. assign V189183 = V766482 + 1. assign V054665 = V945335 - 1. assign V324402 = V801152. assign V437063 = V078212. assign V158711 = V766482. assign V823952 = V880543 + 1. assign V919930 = V287143 + 1. assign V945335 = V801152 + 1. assign V104240 = 0. assign V587025 = V584736 + 1. assign V983585 = V052241. assign V004558 = V766482 + 1. assign V984641 = V350394 + 1. assign V177477 = V158711. assign V355321 = V829032 + 1. assign V893885 = V504541. assign V945141 = V766482 - 1. assign V468506 = V283120. assign V512318 = V867992. assign V504541 = V106134. assign V663085 = V695014 - 1. assign V616590 = V317102 + 1. assign V336060 = V106347 + 1. assign V803234 = V584736 + 1. assign V283120 = V177442. assign V658151 = V880543 - 1. assign V623341 = V158711. assign V293606 = V287143 - 1. assign V447548 = V653922 - 1. assign V287143 = V972894 - 1. assign V078212 = V119970 - 1. assign V177442 = V658151 + 1. assign V730975 = V052241 - 1. assign V734029 = V004558 - 1. assign V978017 = V823952 - 1. assign V508636 = V787439 - 1. assign V798492 = V137445 + 1. assign V317102 = V324402 + 1. assign V630019 = V424705. assign V879101 = V004558. assign V273780 = V154008 - 1. assign V154008 = V829032 - 1. assign V328434 = V927716. assign V414466 = V238838. assign V787439 = V355321. assign V790481 = V731792 - 1. assign V052241 = V972894. assign V867992 = V798492 + 1. assign V595653 = V827171 + 1. assign V171233 = V106347 + 1. assign V106347 = V829032. assign V061211 = V350636 - 1. assign V829032 = V919930. assign V653922 = V270247 + 1. assign V947765 = V766482 - 1. assign V838225 = V616590 - 1. assign V965587 = V984641. assign V839183 = V104240 - 1. assign V586656 = V004558 + 1. assign V718964 = V106134 - 1. assign V731792 = V658151 + 1. assign V827171 = V893885 + 1. assign V137445 = V658151 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV104240 = 0;\n\nFrom these direct assignment(s), we have: \nV839183 = V104240 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V839183;\nNo other variables can be derived from V104240;\n\nNow we have done all the calculations. Derived variables are:\nV104240 = 0;\nV839183 = -1;\n\nNow we have finished this problem. ANSWER:\nV104240\n", "role": "assistant" } ]

[ "V142603", "V109751" ]

[ { "content": "<context>\nassign V647871 = V857276 - 1. assign V055910 = V613652 - 1. assign V991367 = V929015. assign V412361 = V947746. assign V267158 = V692120 - 1. assign V457158 = V412361. assign V383266 = V833171 - 1. assign V668236 = V781184 + 1. assign V616959 = V125037 - 1. assign V879295 = V947746. assign V994415 = V387843 - 1. assign V246049 = V781184 + 1. assign V176878 = V412361 - 1. assign V781184 = V412361. assign V718954 = V036695 - 1. assign V387843 = V638423 - 1. assign V664659 = V236551. assign V559975 = V723123. assign V109751 = V142603. assign V732785 = V560402 - 1. assign V613652 = V412361 + 1. assign V312278 = V511861 + 1. assign V560402 = V362775. assign V096355 = V616959 + 1. assign V362775 = V046024 - 1. assign V146272 = V267158. assign V100686 = V751931 + 1. assign V046024 = V455725. assign V891479 = V255468 + 1. assign V699515 = V879295 + 1. assign V805726 = V911857 - 1. assign V857276 = V879295. assign V743071 = V412361 + 1. assign V455725 = V457158 - 1. assign V000963 = V613652. assign V627634 = V801112. assign V122855 = V146272. assign V446012 = V857276. assign V929015 = V096355. assign V446350 = V638423 - 1. assign V833171 = V692120 - 1. assign V559912 = V758420 + 1. assign V710282 = V857276 - 1. assign V304361 = V387843 - 1. assign V536747 = V751931. assign V255468 = V857276. assign V681585 = V616959 - 1. assign V918126 = V142719 - 1. assign V405029 = V710282 - 1. assign V638423 = V911857. assign V482198 = V616959. assign V583113 = V608431. assign V234992 = V781184. assign V608431 = V255468 + 1. assign V167418 = V176878. assign V815474 = V412361 + 1. assign V692120 = V457158. assign V125037 = V692120. assign V163657 = V692120 + 1. assign V911857 = V692120 - 1. assign V972525 = V710282 - 1. assign V142603 = 6. assign V236551 = V267158 - 1. assign V240309 = V561653 + 1. assign V194125 = V758420 - 1. assign V300571 = V334026 + 1. assign V338716 = V412361 - 1. assign V337649 = V857276 - 1. assign V036695 = V911857 + 1. assign V801112 = V125037 + 1. assign V845082 = V638423 - 1. assign V896703 = V758420. assign V561653 = V236551. assign V568811 = V751931. assign V012716 = V334026 - 1. assign V334026 = V692120. assign V758420 = V338716 - 1. assign V751931 = V457158. assign V142719 = V947746 - 1. assign V455180 = V334026 - 1. assign V511861 = V455725. assign V723123 = V046024 + 1. assign V783033 = V405029 - 1. assign V211362 = V668236. assign V731529 = V568811 + 1. assign V429760 = V176878.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V647871 = V857276 - 1. assign V055910 = V613652 - 1. assign V991367 = V929015. assign V412361 = V947746. assign V267158 = V692120 - 1. assign V457158 = V412361. assign V383266 = V833171 - 1. assign V668236 = V781184 + 1. assign V616959 = V125037 - 1. assign V879295 = V947746. assign V994415 = V387843 - 1. assign V246049 = V781184 + 1. assign V176878 = V412361 - 1. assign V781184 = V412361. assign V718954 = V036695 - 1. assign V387843 = V638423 - 1. assign V664659 = V236551. assign V559975 = V723123. assign V109751 = V142603. assign V732785 = V560402 - 1. assign V613652 = V412361 + 1. assign V312278 = V511861 + 1. assign V560402 = V362775. assign V096355 = V616959 + 1. assign V362775 = V046024 - 1. assign V146272 = V267158. assign V100686 = V751931 + 1. assign V046024 = V455725. assign V891479 = V255468 + 1. assign V699515 = V879295 + 1. assign V805726 = V911857 - 1. assign V857276 = V879295. assign V743071 = V412361 + 1. assign V455725 = V457158 - 1. assign V000963 = V613652. assign V627634 = V801112. assign V122855 = V146272. assign V446012 = V857276. assign V929015 = V096355. assign V446350 = V638423 - 1. assign V833171 = V692120 - 1. assign V559912 = V758420 + 1. assign V710282 = V857276 - 1. assign V304361 = V387843 - 1. assign V536747 = V751931. assign V255468 = V857276. assign V681585 = V616959 - 1. assign V918126 = V142719 - 1. assign V405029 = V710282 - 1. assign V638423 = V911857. assign V482198 = V616959. assign V583113 = V608431. assign V234992 = V781184. assign V608431 = V255468 + 1. assign V167418 = V176878. assign V815474 = V412361 + 1. assign V692120 = V457158. assign V125037 = V692120. assign V163657 = V692120 + 1. assign V911857 = V692120 - 1. assign V972525 = V710282 - 1. assign V142603 = 6. assign V236551 = V267158 - 1. assign V240309 = V561653 + 1. assign V194125 = V758420 - 1. assign V300571 = V334026 + 1. assign V338716 = V412361 - 1. assign V337649 = V857276 - 1. assign V036695 = V911857 + 1. assign V801112 = V125037 + 1. assign V845082 = V638423 - 1. assign V896703 = V758420. assign V561653 = V236551. assign V568811 = V751931. assign V012716 = V334026 - 1. assign V334026 = V692120. assign V758420 = V338716 - 1. assign V751931 = V457158. assign V142719 = V947746 - 1. assign V455180 = V334026 - 1. assign V511861 = V455725. assign V723123 = V046024 + 1. assign V783033 = V405029 - 1. assign V211362 = V668236. assign V731529 = V568811 + 1. assign V429760 = V176878.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV142603 = 6;\n\nFrom these direct assignment(s), we have: \nV109751 = V142603 = 6;\nNo other variables can be derived from V109751;\nNo other variables can be derived from V142603;\n\nNow we have done all the calculations. Derived variables are:\nV142603 = 6;\nV109751 = 6;\n\nNow we have finished this problem. ANSWER:\nV142603, V109751\n", "role": "assistant" } ]

[ "V123218" ]

[ { "content": "<context>\nassign V084917 = V512105 + 1. assign V881050 = V344807 - 1. assign V870071 = V438034 + 1. assign V862002 = V278102 - 1. assign V031434 = V011979 - 1. assign V180628 = V730370. assign V364724 = V678186 - 1. assign V042798 = V496569 + 1. assign V466762 = V278999. assign V536694 = V881050 + 1. assign V188828 = V626005. assign V503111 = V598933 + 1. assign V598933 = V612165. assign V272535 = V816279 + 1. assign V504547 = V730370 - 1. assign V362193 = V278102 - 1. assign V816953 = V944367. assign V984195 = V188828 - 1. assign V053045 = V678186. assign V461082 = V341784 - 1. assign V711481 = V011979 - 1. assign V637057 = V924621 - 1. assign V979311 = V278999 + 1. assign V802663 = V816279. assign V318011 = V144870. assign V315506 = V598907 - 1. assign V289631 = V816279. assign V176467 = V438034. assign V139046 = V341784 + 1. assign V981840 = V761534. assign V928740 = V536694 + 1. assign V123218 = V926023 + 1. assign V946122 = V816279 + 1. assign V468991 = V181047. assign V849287 = V496569 - 1. assign V612165 = V278102 - 1. assign V496569 = V678186 - 1. assign V743986 = V598907 - 1. assign V997737 = V503111 - 1. assign V816279 = V344807 + 1. assign V761534 = V344807 - 1. assign V022911 = V180628 + 1. assign V227030 = V862548 + 1. assign V415624 = V834336 - 1. assign V278999 = V724212. assign V120609 = V724212. assign V756228 = V461082 + 1. assign V766832 = V341784 + 1. assign V924621 = V756228 - 1. assign V443093 = V011979 + 1. assign V626005 = V011979 + 1. assign V862548 = V536694 + 1. assign V678186 = V344807. assign V788562 = V272535. assign V144870 = V344807 + 1. assign V724212 = V761534 + 1. assign V241677 = V461082 - 1. assign V598907 = V678186 + 1. assign V318100 = V386239 - 1. assign V846995 = V278102. assign V926023 = 7. assign V588408 = V031434 - 1. assign V918034 = V724212 + 1. assign V778357 = V121903 + 1. assign V512105 = V615522 - 1. assign V636395 = V626005. assign V438034 = V636395. assign V834336 = V981840 + 1. assign V615522 = V678186. assign V181047 = V615522 + 1. assign V610438 = V981840. assign V882847 = V362193 - 1. assign V695201 = V944367 - 1. assign V192974 = V341784 - 1. assign V386239 = V512105 + 1. assign V914350 = V816279 - 1. assign V121903 = V144870. assign V202391 = V730370. assign V011979 = V344807 + 1. assign V350158 = V816279. assign V361697 = V011979 - 1. assign V944367 = V598907 - 1. assign V341784 = V344807. assign V730370 = V144870. assign V278102 = V461082. assign V202374 = V724212.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V084917 = V512105 + 1. assign V881050 = V344807 - 1. assign V870071 = V438034 + 1. assign V862002 = V278102 - 1. assign V031434 = V011979 - 1. assign V180628 = V730370. assign V364724 = V678186 - 1. assign V042798 = V496569 + 1. assign V466762 = V278999. assign V536694 = V881050 + 1. assign V188828 = V626005. assign V503111 = V598933 + 1. assign V598933 = V612165. assign V272535 = V816279 + 1. assign V504547 = V730370 - 1. assign V362193 = V278102 - 1. assign V816953 = V944367. assign V984195 = V188828 - 1. assign V053045 = V678186. assign V461082 = V341784 - 1. assign V711481 = V011979 - 1. assign V637057 = V924621 - 1. assign V979311 = V278999 + 1. assign V802663 = V816279. assign V318011 = V144870. assign V315506 = V598907 - 1. assign V289631 = V816279. assign V176467 = V438034. assign V139046 = V341784 + 1. assign V981840 = V761534. assign V928740 = V536694 + 1. assign V123218 = V926023 + 1. assign V946122 = V816279 + 1. assign V468991 = V181047. assign V849287 = V496569 - 1. assign V612165 = V278102 - 1. assign V496569 = V678186 - 1. assign V743986 = V598907 - 1. assign V997737 = V503111 - 1. assign V816279 = V344807 + 1. assign V761534 = V344807 - 1. assign V022911 = V180628 + 1. assign V227030 = V862548 + 1. assign V415624 = V834336 - 1. assign V278999 = V724212. assign V120609 = V724212. assign V756228 = V461082 + 1. assign V766832 = V341784 + 1. assign V924621 = V756228 - 1. assign V443093 = V011979 + 1. assign V626005 = V011979 + 1. assign V862548 = V536694 + 1. assign V678186 = V344807. assign V788562 = V272535. assign V144870 = V344807 + 1. assign V724212 = V761534 + 1. assign V241677 = V461082 - 1. assign V598907 = V678186 + 1. assign V318100 = V386239 - 1. assign V846995 = V278102. assign V926023 = 7. assign V588408 = V031434 - 1. assign V918034 = V724212 + 1. assign V778357 = V121903 + 1. assign V512105 = V615522 - 1. assign V636395 = V626005. assign V438034 = V636395. assign V834336 = V981840 + 1. assign V615522 = V678186. assign V181047 = V615522 + 1. assign V610438 = V981840. assign V882847 = V362193 - 1. assign V695201 = V944367 - 1. assign V192974 = V341784 - 1. assign V386239 = V512105 + 1. assign V914350 = V816279 - 1. assign V121903 = V144870. assign V202391 = V730370. assign V011979 = V344807 + 1. assign V350158 = V816279. assign V361697 = V011979 - 1. assign V944367 = V598907 - 1. assign V341784 = V344807. assign V730370 = V144870. assign V278102 = V461082. assign V202374 = V724212.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV926023 = 7;\n\nFrom these direct assignment(s), we have: \nV123218 = V926023 + 1 = 7 + 1 =8;\nNo other variables can be derived from V123218;\nNo other variables can be derived from V926023;\n\nNow we have done all the calculations. Derived variables are:\nV926023 = 7;\nV123218 = 8;\n\nNow we have finished this problem. ANSWER:\nV123218\n", "role": "assistant" } ]

[ "V965808" ]

[ { "content": "<context>\nassign V108820 = V577471 - 1. assign V405898 = V124728 + 1. assign V952163 = V656116 - 1. assign V492885 = V535453 - 1. assign V319014 = V430893 + 1. assign V637673 = V996428 - 1. assign V653461 = V405898 - 1. assign V994816 = V476634. assign V130160 = V584288 + 1. assign V252583 = V492885. assign V300391 = V809252 + 1. assign V662901 = V240366 + 1. assign V852053 = V535453 + 1. assign V656116 = V852053 - 1. assign V677764 = V430893 + 1. assign V276034 = V476634. assign V853047 = V872627 - 1. assign V978259 = V578115. assign V107877 = V075233 + 1. assign V821995 = V578115 + 1. assign V363721 = V952163. assign V830025 = V656116 + 1. assign V722992 = V078641 - 1. assign V394708 = V404672 - 1. assign V355374 = V852053 + 1. assign V147505 = V937881. assign V992639 = V620760 - 1. assign V996428 = V872627. assign V693233 = V722992. assign V620760 = V872627 + 1. assign V805203 = V532150 - 1. assign V810435 = V578115. assign V965808 = 1. assign V738504 = V858026. assign V886924 = V634783. assign V634783 = V937881 - 1. assign V657034 = V301952 + 1. assign V858026 = V476634 + 1. assign V185075 = V578115 + 1. assign V240366 = V577471. assign V385615 = V853047 + 1. assign V688771 = V992639 - 1. assign V334144 = V996428 + 1. assign V881589 = V124728. assign V535453 = V858026 - 1. assign V177826 = V492885 - 1. assign V809252 = V858026 + 1. assign V478990 = V821995. assign V577471 = V588701. assign V824140 = V886540 - 1. assign V350057 = V634783 - 1. assign V033762 = V577471. assign V430893 = V355374 - 1. assign V695969 = V821995. assign V252884 = V809252 + 1. assign V075233 = V476634. assign V588701 = V886540. assign V275577 = V891770 + 1. assign V891770 = V588701. assign V532150 = V853047 - 1. assign V278525 = V738504 + 1. assign V937881 = V886540. assign V872627 = V476634 + 1. assign V973111 = V275577 - 1. assign V578115 = V476634 + 1. assign V089825 = V078641 + 1. assign V513805 = V634783. assign V715724 = V881589 - 1. assign V285237 = V858026 + 1. assign V584288 = V937881 + 1. assign V080872 = V994816 - 1. assign V279601 = V425971 + 1. assign V886540 = V535453 - 1. assign V225939 = V688771 + 1. assign V884278 = V657034. assign V678153 = V656116. assign V124728 = V809252 + 1. assign V719223 = V965808 - 1. assign V078641 = V872627 - 1. assign V404672 = V578115 + 1. assign V301952 = V821995 + 1. assign V448193 = V662901. assign V814367 = V334144 + 1. assign V868114 = V872627. assign V690975 = V891770. assign V425971 = V637673.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V108820 = V577471 - 1. assign V405898 = V124728 + 1. assign V952163 = V656116 - 1. assign V492885 = V535453 - 1. assign V319014 = V430893 + 1. assign V637673 = V996428 - 1. assign V653461 = V405898 - 1. assign V994816 = V476634. assign V130160 = V584288 + 1. assign V252583 = V492885. assign V300391 = V809252 + 1. assign V662901 = V240366 + 1. assign V852053 = V535453 + 1. assign V656116 = V852053 - 1. assign V677764 = V430893 + 1. assign V276034 = V476634. assign V853047 = V872627 - 1. assign V978259 = V578115. assign V107877 = V075233 + 1. assign V821995 = V578115 + 1. assign V363721 = V952163. assign V830025 = V656116 + 1. assign V722992 = V078641 - 1. assign V394708 = V404672 - 1. assign V355374 = V852053 + 1. assign V147505 = V937881. assign V992639 = V620760 - 1. assign V996428 = V872627. assign V693233 = V722992. assign V620760 = V872627 + 1. assign V805203 = V532150 - 1. assign V810435 = V578115. assign V965808 = 1. assign V738504 = V858026. assign V886924 = V634783. assign V634783 = V937881 - 1. assign V657034 = V301952 + 1. assign V858026 = V476634 + 1. assign V185075 = V578115 + 1. assign V240366 = V577471. assign V385615 = V853047 + 1. assign V688771 = V992639 - 1. assign V334144 = V996428 + 1. assign V881589 = V124728. assign V535453 = V858026 - 1. assign V177826 = V492885 - 1. assign V809252 = V858026 + 1. assign V478990 = V821995. assign V577471 = V588701. assign V824140 = V886540 - 1. assign V350057 = V634783 - 1. assign V033762 = V577471. assign V430893 = V355374 - 1. assign V695969 = V821995. assign V252884 = V809252 + 1. assign V075233 = V476634. assign V588701 = V886540. assign V275577 = V891770 + 1. assign V891770 = V588701. assign V532150 = V853047 - 1. assign V278525 = V738504 + 1. assign V937881 = V886540. assign V872627 = V476634 + 1. assign V973111 = V275577 - 1. assign V578115 = V476634 + 1. assign V089825 = V078641 + 1. assign V513805 = V634783. assign V715724 = V881589 - 1. assign V285237 = V858026 + 1. assign V584288 = V937881 + 1. assign V080872 = V994816 - 1. assign V279601 = V425971 + 1. assign V886540 = V535453 - 1. assign V225939 = V688771 + 1. assign V884278 = V657034. assign V678153 = V656116. assign V124728 = V809252 + 1. assign V719223 = V965808 - 1. assign V078641 = V872627 - 1. assign V404672 = V578115 + 1. assign V301952 = V821995 + 1. assign V448193 = V662901. assign V814367 = V334144 + 1. assign V868114 = V872627. assign V690975 = V891770. assign V425971 = V637673.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 1.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV965808 = 1;\n\nFrom these direct assignment(s), we have: \nV719223 = V965808 - 1 = 1 - 1 =0;\nNo other variables can be derived from V719223;\nNo other variables can be derived from V965808;\n\nNow we have done all the calculations. Derived variables are:\nV965808 = 1;\nV719223 = 0;\n\nNow we have finished this problem. ANSWER:\nV965808\n", "role": "assistant" } ]

[ "V668652", "V396265" ]

[ { "content": "<context>\nassign V128576 = V895765. assign V309165 = V099432 + 1. assign V589851 = V987670. assign V558991 = V917193. assign V550852 = V865630. assign V793217 = V865630 + 1. assign V739794 = V435091 + 1. assign V219215 = V739794. assign V298465 = V108557 - 1. assign V311643 = V891313 - 1. assign V946168 = V832741. assign V037953 = V706965. assign V294700 = V757847. assign V858493 = V770258. assign V706965 = V555326 + 1. assign V185865 = V318044 + 1. assign V327687 = V185865. assign V128350 = V490204 - 1. assign V676126 = V911158 - 1. assign V251053 = V920050 + 1. assign V108557 = V832741 + 1. assign V676044 = V463340. assign V424076 = V588447. assign V490204 = V904629. assign V326413 = V743280. assign V725341 = V851440 - 1. assign V268535 = V891313. assign V851440 = V743280 + 1. assign V057324 = V911158. assign V920050 = V844504 + 1. assign V487634 = V424076 + 1. assign V435091 = V294700 + 1. assign V677107 = V946168 - 1. assign V555326 = V770258 + 1. assign V891313 = V057324. assign V588447 = V911158 + 1. assign V757847 = V555326 - 1. assign V895765 = V920050 + 1. assign V666816 = V618857 - 1. assign V463340 = V060743 - 1. assign V304535 = V774058. assign V618857 = V307436. assign V911158 = V844504 - 1. assign V357911 = V706965. assign V396265 = V668652. assign V122470 = V060743 - 1. assign V904629 = V618857. assign V832741 = V435091. assign V237385 = V891313. assign V639512 = V832741. assign V865630 = V676126 - 1. assign V451587 = V057324. assign V615662 = V832741. assign V774058 = V739794. assign V947771 = V309165 - 1. assign V844504 = V770258. assign V743280 = V920050 + 1. assign V082319 = V827158 + 1. assign V959006 = V858493 + 1. assign V074666 = V677107 + 1. assign V102516 = V588447 - 1. assign V265011 = V618857 + 1. assign V827158 = V281240. assign V318044 = V555326 + 1. assign V060743 = V895765. assign V202934 = V743280. assign V279315 = V074666. assign V668933 = V588447 - 1. assign V812168 = V307436 + 1. assign V307436 = V844504 + 1. assign V865134 = V588447 - 1. assign V668652 = 3. assign V281240 = V307436 + 1. assign V301801 = V959006 - 1. assign V055183 = V865630 + 1. assign V357952 = V424076 + 1. assign V182077 = V307436. assign V425353 = V982009 + 1. assign V987670 = V487634 - 1. assign V982009 = V182077 - 1. assign V412248 = V550852 - 1. assign V917193 = V555326 - 1. assign V099432 = V588447 - 1. assign V982548 = V639512 - 1. assign V613785 = V281240 + 1. assign V396551 = V865630 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V128576 = V895765. assign V309165 = V099432 + 1. assign V589851 = V987670. assign V558991 = V917193. assign V550852 = V865630. assign V793217 = V865630 + 1. assign V739794 = V435091 + 1. assign V219215 = V739794. assign V298465 = V108557 - 1. assign V311643 = V891313 - 1. assign V946168 = V832741. assign V037953 = V706965. assign V294700 = V757847. assign V858493 = V770258. assign V706965 = V555326 + 1. assign V185865 = V318044 + 1. assign V327687 = V185865. assign V128350 = V490204 - 1. assign V676126 = V911158 - 1. assign V251053 = V920050 + 1. assign V108557 = V832741 + 1. assign V676044 = V463340. assign V424076 = V588447. assign V490204 = V904629. assign V326413 = V743280. assign V725341 = V851440 - 1. assign V268535 = V891313. assign V851440 = V743280 + 1. assign V057324 = V911158. assign V920050 = V844504 + 1. assign V487634 = V424076 + 1. assign V435091 = V294700 + 1. assign V677107 = V946168 - 1. assign V555326 = V770258 + 1. assign V891313 = V057324. assign V588447 = V911158 + 1. assign V757847 = V555326 - 1. assign V895765 = V920050 + 1. assign V666816 = V618857 - 1. assign V463340 = V060743 - 1. assign V304535 = V774058. assign V618857 = V307436. assign V911158 = V844504 - 1. assign V357911 = V706965. assign V396265 = V668652. assign V122470 = V060743 - 1. assign V904629 = V618857. assign V832741 = V435091. assign V237385 = V891313. assign V639512 = V832741. assign V865630 = V676126 - 1. assign V451587 = V057324. assign V615662 = V832741. assign V774058 = V739794. assign V947771 = V309165 - 1. assign V844504 = V770258. assign V743280 = V920050 + 1. assign V082319 = V827158 + 1. assign V959006 = V858493 + 1. assign V074666 = V677107 + 1. assign V102516 = V588447 - 1. assign V265011 = V618857 + 1. assign V827158 = V281240. assign V318044 = V555326 + 1. assign V060743 = V895765. assign V202934 = V743280. assign V279315 = V074666. assign V668933 = V588447 - 1. assign V812168 = V307436 + 1. assign V307436 = V844504 + 1. assign V865134 = V588447 - 1. assign V668652 = 3. assign V281240 = V307436 + 1. assign V301801 = V959006 - 1. assign V055183 = V865630 + 1. assign V357952 = V424076 + 1. assign V182077 = V307436. assign V425353 = V982009 + 1. assign V987670 = V487634 - 1. assign V982009 = V182077 - 1. assign V412248 = V550852 - 1. assign V917193 = V555326 - 1. assign V099432 = V588447 - 1. assign V982548 = V639512 - 1. assign V613785 = V281240 + 1. assign V396551 = V865630 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV668652 = 3;\n\nFrom these direct assignment(s), we have: \nV396265 = V668652 = 3;\nNo other variables can be derived from V396265;\nNo other variables can be derived from V668652;\n\nNow we have done all the calculations. Derived variables are:\nV668652 = 3;\nV396265 = 3;\n\nNow we have finished this problem. ANSWER:\nV668652, V396265\n", "role": "assistant" } ]

[ "V773616" ]

[ { "content": "<context>\nassign V603111 = V912369 - 1. assign V297551 = V912369 + 1. assign V950847 = V637602 - 1. assign V663876 = V582762 - 1. assign V649251 = V787250 + 1. assign V202456 = V149341 - 1. assign V276316 = V286869. assign V912369 = V555112 + 1. assign V998864 = V888066 - 1. assign V013996 = V991056 - 1. assign V215004 = V727036 - 1. assign V766354 = V084348. assign V991056 = V084348. assign V622440 = V681595. assign V832096 = V518317 + 1. assign V217583 = V286869 - 1. assign V157452 = V286869 + 1. assign V542795 = V407761 - 1. assign V131894 = V215004. assign V964449 = V286869. assign V744967 = V589693 + 1. assign V411035 = V849026 + 1. assign V096909 = V131894 - 1. assign V522040 = V912369 + 1. assign V162527 = V727036 + 1. assign V149341 = V637602 - 1. assign V837621 = V787250 - 1. assign V849026 = V183524 + 1. assign V722072 = V589693 + 1. assign V727036 = V555112 + 1. assign V267502 = V048088 + 1. assign V064943 = V944121. assign V298222 = V637602. assign V577533 = V298222 + 1. assign V995354 = V622440 - 1. assign V807150 = V995354 - 1. assign V235532 = V849026. assign V551953 = V706985. assign V046735 = V995354 + 1. assign V183524 = V286869 + 1. assign V208111 = V649251. assign V773120 = V199314 + 1. assign V348674 = V522040. assign V818563 = V681595 - 1. assign V629235 = V773616 - 1. assign V407761 = V516334 + 1. assign V084348 = V759179 - 1. assign V739144 = V466206 + 1. assign V623217 = V995354. assign V944121 = V849026. assign V151593 = V759179. assign V220367 = V706985. assign V184525 = V959875 - 1. assign V742186 = V020142. assign V516334 = V162527. assign V833726 = V250020. assign V715731 = V297551 + 1. assign V849406 = V787250 - 1. assign V023670 = V759179 + 1. assign V681595 = V773120. assign V518317 = V759179 - 1. assign V013237 = V742186. assign V466206 = V215004 - 1. assign V750171 = V773120 - 1. assign V959875 = V023670 + 1. assign V582762 = V807150 + 1. assign V637602 = V286869 + 1. assign V517469 = V297551. assign V646268 = V888066 + 1. assign V199314 = V603111 - 1. assign V759179 = V727036 - 1. assign V773616 = 6. assign V020142 = V555112 - 1. assign V250020 = V555112. assign V354201 = V649251 - 1. assign V706985 = V759179. assign V048088 = V787250. assign V888066 = V555112 - 1. assign V386194 = V670905 + 1. assign V286869 = V215004. assign V601418 = V215004. assign V589693 = V759179 + 1. assign V670905 = V622440 + 1. assign V739801 = V131894 - 1. assign V555112 = V787250 - 1. assign V626526 = V837621 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V603111 = V912369 - 1. assign V297551 = V912369 + 1. assign V950847 = V637602 - 1. assign V663876 = V582762 - 1. assign V649251 = V787250 + 1. assign V202456 = V149341 - 1. assign V276316 = V286869. assign V912369 = V555112 + 1. assign V998864 = V888066 - 1. assign V013996 = V991056 - 1. assign V215004 = V727036 - 1. assign V766354 = V084348. assign V991056 = V084348. assign V622440 = V681595. assign V832096 = V518317 + 1. assign V217583 = V286869 - 1. assign V157452 = V286869 + 1. assign V542795 = V407761 - 1. assign V131894 = V215004. assign V964449 = V286869. assign V744967 = V589693 + 1. assign V411035 = V849026 + 1. assign V096909 = V131894 - 1. assign V522040 = V912369 + 1. assign V162527 = V727036 + 1. assign V149341 = V637602 - 1. assign V837621 = V787250 - 1. assign V849026 = V183524 + 1. assign V722072 = V589693 + 1. assign V727036 = V555112 + 1. assign V267502 = V048088 + 1. assign V064943 = V944121. assign V298222 = V637602. assign V577533 = V298222 + 1. assign V995354 = V622440 - 1. assign V807150 = V995354 - 1. assign V235532 = V849026. assign V551953 = V706985. assign V046735 = V995354 + 1. assign V183524 = V286869 + 1. assign V208111 = V649251. assign V773120 = V199314 + 1. assign V348674 = V522040. assign V818563 = V681595 - 1. assign V629235 = V773616 - 1. assign V407761 = V516334 + 1. assign V084348 = V759179 - 1. assign V739144 = V466206 + 1. assign V623217 = V995354. assign V944121 = V849026. assign V151593 = V759179. assign V220367 = V706985. assign V184525 = V959875 - 1. assign V742186 = V020142. assign V516334 = V162527. assign V833726 = V250020. assign V715731 = V297551 + 1. assign V849406 = V787250 - 1. assign V023670 = V759179 + 1. assign V681595 = V773120. assign V518317 = V759179 - 1. assign V013237 = V742186. assign V466206 = V215004 - 1. assign V750171 = V773120 - 1. assign V959875 = V023670 + 1. assign V582762 = V807150 + 1. assign V637602 = V286869 + 1. assign V517469 = V297551. assign V646268 = V888066 + 1. assign V199314 = V603111 - 1. assign V759179 = V727036 - 1. assign V773616 = 6. assign V020142 = V555112 - 1. assign V250020 = V555112. assign V354201 = V649251 - 1. assign V706985 = V759179. assign V048088 = V787250. assign V888066 = V555112 - 1. assign V386194 = V670905 + 1. assign V286869 = V215004. assign V601418 = V215004. assign V589693 = V759179 + 1. assign V670905 = V622440 + 1. assign V739801 = V131894 - 1. assign V555112 = V787250 - 1. assign V626526 = V837621 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV773616 = 6;\n\nFrom these direct assignment(s), we have: \nV629235 = V773616 - 1 = 6 - 1 =5;\nNo other variables can be derived from V629235;\nNo other variables can be derived from V773616;\n\nNow we have done all the calculations. Derived variables are:\nV773616 = 6;\nV629235 = 5;\n\nNow we have finished this problem. ANSWER:\nV773616\n", "role": "assistant" } ]

[ "V442888" ]

[ { "content": "<context>\nassign V315899 = V110544. assign V354653 = V368088 - 1. assign V690318 = V270551 + 1. assign V754155 = V156168 - 1. assign V724535 = V832621 + 1. assign V879780 = V040388 + 1. assign V804377 = V109263 - 1. assign V378148 = V491298 - 1. assign V294233 = V347749 - 1. assign V568667 = V832621 + 1. assign V368088 = V294233 + 1. assign V270551 = V332553 + 1. assign V347749 = V156168 + 1. assign V819367 = V110544. assign V022700 = V735957 + 1. assign V746661 = V240439 + 1. assign V771091 = V347749 + 1. assign V542914 = V111297 - 1. assign V144628 = V832621. assign V789119 = V848850 - 1. assign V387271 = V844933 + 1. assign V886716 = V270551. assign V332553 = V110544 - 1. assign V211480 = V654166. assign V804336 = V880034. assign V571490 = V131506. assign V092893 = V819367 - 1. assign V442888 = 2. assign V319018 = V804377. assign V145064 = V347749. assign V408503 = V386758 - 1. assign V150128 = V879780 - 1. assign V801692 = V804377. assign V104136 = V690318 - 1. assign V589141 = V156168 + 1. assign V844933 = V347749. assign V458384 = V022700. assign V359829 = V777089 - 1. assign V749168 = V879780 - 1. assign V711483 = V840805 + 1. assign V431100 = V076959 - 1. assign V599959 = V408503 + 1. assign V635504 = V386758 - 1. assign V717318 = V110544. assign V040388 = V690318 + 1. assign V219037 = V294233 - 1. assign V840805 = V294233 + 1. assign V085931 = V131506. assign V922364 = V076959. assign V055186 = V568667. assign V623016 = V801692 + 1. assign V848850 = V971551. assign V228966 = V040388. assign V140065 = V875619 + 1. assign V984053 = V156168 + 1. assign V714524 = V270551 + 1. assign V651692 = V819367 + 1. assign V593914 = V040388 + 1. assign V111297 = V654166 - 1. assign V328055 = V040388 + 1. assign V109263 = V832621 + 1. assign V702294 = V735957 - 1. assign V338056 = V110544. assign V887987 = V442888 + 1. assign V875619 = V832621. assign V382075 = V690318 + 1. assign V971551 = V840805. assign V198505 = V354653. assign V451965 = V498186. assign V386758 = V110544 - 1. assign V777089 = V076959. assign V491298 = V571490 - 1. assign V880034 = V717318 + 1. assign V240439 = V922364. assign V090497 = V654166. assign V131506 = V110544 + 1. assign V498186 = V104136. assign V076959 = V104136 - 1. assign V654166 = V219037 - 1. assign V735957 = V332553 + 1. assign V303753 = V922364 + 1. assign V912265 = V408503. assign V203903 = V156168 - 1. assign V832621 = V156168 + 1. assign V110544 = V875619 - 1. assign V017233 = V451965 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V315899 = V110544. assign V354653 = V368088 - 1. assign V690318 = V270551 + 1. assign V754155 = V156168 - 1. assign V724535 = V832621 + 1. assign V879780 = V040388 + 1. assign V804377 = V109263 - 1. assign V378148 = V491298 - 1. assign V294233 = V347749 - 1. assign V568667 = V832621 + 1. assign V368088 = V294233 + 1. assign V270551 = V332553 + 1. assign V347749 = V156168 + 1. assign V819367 = V110544. assign V022700 = V735957 + 1. assign V746661 = V240439 + 1. assign V771091 = V347749 + 1. assign V542914 = V111297 - 1. assign V144628 = V832621. assign V789119 = V848850 - 1. assign V387271 = V844933 + 1. assign V886716 = V270551. assign V332553 = V110544 - 1. assign V211480 = V654166. assign V804336 = V880034. assign V571490 = V131506. assign V092893 = V819367 - 1. assign V442888 = 2. assign V319018 = V804377. assign V145064 = V347749. assign V408503 = V386758 - 1. assign V150128 = V879780 - 1. assign V801692 = V804377. assign V104136 = V690318 - 1. assign V589141 = V156168 + 1. assign V844933 = V347749. assign V458384 = V022700. assign V359829 = V777089 - 1. assign V749168 = V879780 - 1. assign V711483 = V840805 + 1. assign V431100 = V076959 - 1. assign V599959 = V408503 + 1. assign V635504 = V386758 - 1. assign V717318 = V110544. assign V040388 = V690318 + 1. assign V219037 = V294233 - 1. assign V840805 = V294233 + 1. assign V085931 = V131506. assign V922364 = V076959. assign V055186 = V568667. assign V623016 = V801692 + 1. assign V848850 = V971551. assign V228966 = V040388. assign V140065 = V875619 + 1. assign V984053 = V156168 + 1. assign V714524 = V270551 + 1. assign V651692 = V819367 + 1. assign V593914 = V040388 + 1. assign V111297 = V654166 - 1. assign V328055 = V040388 + 1. assign V109263 = V832621 + 1. assign V702294 = V735957 - 1. assign V338056 = V110544. assign V887987 = V442888 + 1. assign V875619 = V832621. assign V382075 = V690318 + 1. assign V971551 = V840805. assign V198505 = V354653. assign V451965 = V498186. assign V386758 = V110544 - 1. assign V777089 = V076959. assign V491298 = V571490 - 1. assign V880034 = V717318 + 1. assign V240439 = V922364. assign V090497 = V654166. assign V131506 = V110544 + 1. assign V498186 = V104136. assign V076959 = V104136 - 1. assign V654166 = V219037 - 1. assign V735957 = V332553 + 1. assign V303753 = V922364 + 1. assign V912265 = V408503. assign V203903 = V156168 - 1. assign V832621 = V156168 + 1. assign V110544 = V875619 - 1. assign V017233 = V451965 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV442888 = 2;\n\nFrom these direct assignment(s), we have: \nV887987 = V442888 + 1 = 2 + 1 =3;\nNo other variables can be derived from V887987;\nNo other variables can be derived from V442888;\n\nNow we have done all the calculations. Derived variables are:\nV442888 = 2;\nV887987 = 3;\n\nNow we have finished this problem. ANSWER:\nV442888\n", "role": "assistant" } ]

[ "V927283", "V481668" ]

[ { "content": "<context>\nassign V994438 = V688355 + 1. assign V376651 = V675514. assign V827524 = V296679 - 1. assign V030569 = V675514 + 1. assign V234079 = V878995. assign V675514 = V878995 - 1. assign V066790 = V509099. assign V296679 = V813245 - 1. assign V566564 = V688355 - 1. assign V813245 = V675514 + 1. assign V663284 = V171479. assign V284313 = V675514 + 1. assign V927283 = 9. assign V548587 = V093647 - 1. assign V345934 = V813245 + 1. assign V622308 = V310195. assign V356008 = V284313 - 1. assign V273361 = V622308 + 1. assign V998855 = V411658. assign V101505 = V994438 - 1. assign V411658 = V093647 + 1. assign V023784 = V376651. assign V038637 = V069908. assign V688355 = V294104 - 1. assign V814128 = V998855 + 1. assign V579093 = V294104 + 1. assign V365870 = V493843. assign V493843 = V004633 + 1. assign V093647 = V688355 + 1. assign V783684 = V878995. assign V509099 = V093647 + 1. assign V729056 = V023784 - 1. assign V839536 = V414684. assign V806896 = V599221. assign V356397 = V783684 - 1. assign V986338 = V599221. assign V655436 = V827524. assign V113503 = V431557 + 1. assign V957228 = V806896 - 1. assign V599221 = V890329. assign V431557 = V878995 - 1. assign V971371 = V375303 - 1. assign V414684 = V994438 + 1. assign V227096 = V273361 + 1. assign V848892 = V675514. assign V171479 = V375303. assign V481668 = V927283. assign V375303 = V493843. assign V457095 = V269341 + 1. assign V192083 = V083708. assign V821091 = V294104 - 1. assign V791777 = V813245. assign V890329 = V201860 + 1. assign V570432 = V783684 - 1. assign V804625 = V675514 + 1. assign V083708 = V994438. assign V639355 = V994438. assign V080074 = V365870. assign V738205 = V284313 + 1. assign V294104 = V201860. assign V421241 = V414684 + 1. assign V260776 = V783684 + 1. assign V311715 = V688355 - 1. assign V382785 = V310195. assign V939242 = V548587. assign V845435 = V621307 - 1. assign V270174 = V431557 - 1. assign V892233 = V579093 - 1. assign V588086 = V509099 - 1. assign V811502 = V431557 - 1. assign V269341 = V890329 + 1. assign V004633 = V688355. assign V577485 = V356008 + 1. assign V310195 = V093647 - 1. assign V621307 = V023784 - 1. assign V805005 = V411658. assign V069908 = V270174. assign V819936 = V878995 - 1. assign V404688 = V890329 - 1. assign V933586 = V579093 + 1. assign V106256 = V284313 - 1. assign V246236 = V234079 - 1. assign V706101 = V998855 - 1. assign V304520 = V294104 - 1. assign V445603 = V421241. assign V201860 = V675514 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V994438 = V688355 + 1. assign V376651 = V675514. assign V827524 = V296679 - 1. assign V030569 = V675514 + 1. assign V234079 = V878995. assign V675514 = V878995 - 1. assign V066790 = V509099. assign V296679 = V813245 - 1. assign V566564 = V688355 - 1. assign V813245 = V675514 + 1. assign V663284 = V171479. assign V284313 = V675514 + 1. assign V927283 = 9. assign V548587 = V093647 - 1. assign V345934 = V813245 + 1. assign V622308 = V310195. assign V356008 = V284313 - 1. assign V273361 = V622308 + 1. assign V998855 = V411658. assign V101505 = V994438 - 1. assign V411658 = V093647 + 1. assign V023784 = V376651. assign V038637 = V069908. assign V688355 = V294104 - 1. assign V814128 = V998855 + 1. assign V579093 = V294104 + 1. assign V365870 = V493843. assign V493843 = V004633 + 1. assign V093647 = V688355 + 1. assign V783684 = V878995. assign V509099 = V093647 + 1. assign V729056 = V023784 - 1. assign V839536 = V414684. assign V806896 = V599221. assign V356397 = V783684 - 1. assign V986338 = V599221. assign V655436 = V827524. assign V113503 = V431557 + 1. assign V957228 = V806896 - 1. assign V599221 = V890329. assign V431557 = V878995 - 1. assign V971371 = V375303 - 1. assign V414684 = V994438 + 1. assign V227096 = V273361 + 1. assign V848892 = V675514. assign V171479 = V375303. assign V481668 = V927283. assign V375303 = V493843. assign V457095 = V269341 + 1. assign V192083 = V083708. assign V821091 = V294104 - 1. assign V791777 = V813245. assign V890329 = V201860 + 1. assign V570432 = V783684 - 1. assign V804625 = V675514 + 1. assign V083708 = V994438. assign V639355 = V994438. assign V080074 = V365870. assign V738205 = V284313 + 1. assign V294104 = V201860. assign V421241 = V414684 + 1. assign V260776 = V783684 + 1. assign V311715 = V688355 - 1. assign V382785 = V310195. assign V939242 = V548587. assign V845435 = V621307 - 1. assign V270174 = V431557 - 1. assign V892233 = V579093 - 1. assign V588086 = V509099 - 1. assign V811502 = V431557 - 1. assign V269341 = V890329 + 1. assign V004633 = V688355. assign V577485 = V356008 + 1. assign V310195 = V093647 - 1. assign V621307 = V023784 - 1. assign V805005 = V411658. assign V069908 = V270174. assign V819936 = V878995 - 1. assign V404688 = V890329 - 1. assign V933586 = V579093 + 1. assign V106256 = V284313 - 1. assign V246236 = V234079 - 1. assign V706101 = V998855 - 1. assign V304520 = V294104 - 1. assign V445603 = V421241. assign V201860 = V675514 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV927283 = 9;\n\nFrom these direct assignment(s), we have: \nV481668 = V927283 = 9;\nNo other variables can be derived from V481668;\nNo other variables can be derived from V927283;\n\nNow we have done all the calculations. Derived variables are:\nV927283 = 9;\nV481668 = 9;\n\nNow we have finished this problem. ANSWER:\nV927283, V481668\n", "role": "assistant" } ]

[ "V879732" ]

[ { "content": "<context>\nassign V720873 = V141878. assign V206776 = V011188 + 1. assign V363115 = V182662 - 1. assign V578615 = V593500. assign V955130 = V816489 - 1. assign V688299 = V996679 + 1. assign V942236 = V712882 + 1. assign V425283 = V383102 + 1. assign V260919 = V578615 + 1. assign V267132 = V186808 - 1. assign V543490 = V549986. assign V280290 = V720873 - 1. assign V305873 = V980518 + 1. assign V702799 = V375747. assign V306154 = V260919 + 1. assign V366707 = V862016 + 1. assign V742463 = V179679 - 1. assign V316543 = V075562. assign V931103 = V018482 + 1. assign V331055 = V996679 + 1. assign V699130 = V980518. assign V732739 = V967605 + 1. assign V524833 = V549986. assign V011188 = V980518 - 1. assign V091775 = V967605 - 1. assign V054226 = V547567 + 1. assign V715295 = V742463 + 1. assign V996679 = V918938 + 1. assign V013783 = V206776. assign V428341 = V141878 + 1. assign V879732 = 6. assign V628451 = V918938. assign V816489 = V483779. assign V186808 = V543490 + 1. assign V257669 = V141878. assign V375747 = V593500. assign V196750 = V684097. assign V490407 = V284723 + 1. assign V182662 = V816489 - 1. assign V026509 = V483779 - 1. assign V767622 = V629006. assign V714060 = V942236 - 1. assign V018482 = V629006. assign V416088 = V182662 - 1. assign V547567 = V712882 + 1. assign V593500 = V942236. assign V629006 = V306080 + 1. assign V129356 = V862016. assign V920693 = V862016 - 1. assign V967605 = V549986 - 1. assign V247236 = V520665. assign V565058 = V383102 + 1. assign V893205 = V549986. assign V570193 = V980518 - 1. assign V194620 = V684097 - 1. assign V306080 = V942236. assign V141878 = V918938. assign V606805 = V306080 - 1. assign V452134 = V363115. assign V516649 = V996679. assign V980518 = V712882 + 1. assign V383102 = V942236. assign V560141 = V879732 + 1. assign V179679 = V409998 + 1. assign V209611 = V091775. assign V520665 = V425283 + 1. assign V684097 = V416088 + 1. assign V744431 = V699130. assign V284723 = V742463 - 1. assign V075562 = V720873 + 1. assign V269678 = V942236 + 1. assign V431853 = V452134 - 1. assign V443394 = V483779 + 1. assign V241894 = V955130 - 1. assign V468347 = V383102 + 1. assign V113824 = V013783 + 1. assign V483779 = V141878 + 1. assign V647420 = V209611 + 1. assign V582865 = V468347 - 1. assign V862016 = V018482. assign V409998 = V980518 - 1. assign V712882 = V483779. assign V732746 = V742463 + 1. assign V592489 = V280290. assign V549986 = V141878 - 1. assign V759416 = V714060 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V720873 = V141878. assign V206776 = V011188 + 1. assign V363115 = V182662 - 1. assign V578615 = V593500. assign V955130 = V816489 - 1. assign V688299 = V996679 + 1. assign V942236 = V712882 + 1. assign V425283 = V383102 + 1. assign V260919 = V578615 + 1. assign V267132 = V186808 - 1. assign V543490 = V549986. assign V280290 = V720873 - 1. assign V305873 = V980518 + 1. assign V702799 = V375747. assign V306154 = V260919 + 1. assign V366707 = V862016 + 1. assign V742463 = V179679 - 1. assign V316543 = V075562. assign V931103 = V018482 + 1. assign V331055 = V996679 + 1. assign V699130 = V980518. assign V732739 = V967605 + 1. assign V524833 = V549986. assign V011188 = V980518 - 1. assign V091775 = V967605 - 1. assign V054226 = V547567 + 1. assign V715295 = V742463 + 1. assign V996679 = V918938 + 1. assign V013783 = V206776. assign V428341 = V141878 + 1. assign V879732 = 6. assign V628451 = V918938. assign V816489 = V483779. assign V186808 = V543490 + 1. assign V257669 = V141878. assign V375747 = V593500. assign V196750 = V684097. assign V490407 = V284723 + 1. assign V182662 = V816489 - 1. assign V026509 = V483779 - 1. assign V767622 = V629006. assign V714060 = V942236 - 1. assign V018482 = V629006. assign V416088 = V182662 - 1. assign V547567 = V712882 + 1. assign V593500 = V942236. assign V629006 = V306080 + 1. assign V129356 = V862016. assign V920693 = V862016 - 1. assign V967605 = V549986 - 1. assign V247236 = V520665. assign V565058 = V383102 + 1. assign V893205 = V549986. assign V570193 = V980518 - 1. assign V194620 = V684097 - 1. assign V306080 = V942236. assign V141878 = V918938. assign V606805 = V306080 - 1. assign V452134 = V363115. assign V516649 = V996679. assign V980518 = V712882 + 1. assign V383102 = V942236. assign V560141 = V879732 + 1. assign V179679 = V409998 + 1. assign V209611 = V091775. assign V520665 = V425283 + 1. assign V684097 = V416088 + 1. assign V744431 = V699130. assign V284723 = V742463 - 1. assign V075562 = V720873 + 1. assign V269678 = V942236 + 1. assign V431853 = V452134 - 1. assign V443394 = V483779 + 1. assign V241894 = V955130 - 1. assign V468347 = V383102 + 1. assign V113824 = V013783 + 1. assign V483779 = V141878 + 1. assign V647420 = V209611 + 1. assign V582865 = V468347 - 1. assign V862016 = V018482. assign V409998 = V980518 - 1. assign V712882 = V483779. assign V732746 = V742463 + 1. assign V592489 = V280290. assign V549986 = V141878 - 1. assign V759416 = V714060 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV879732 = 6;\n\nFrom these direct assignment(s), we have: \nV560141 = V879732 + 1 = 6 + 1 =7;\nNo other variables can be derived from V560141;\nNo other variables can be derived from V879732;\n\nNow we have done all the calculations. Derived variables are:\nV879732 = 6;\nV560141 = 7;\n\nNow we have finished this problem. ANSWER:\nV879732\n", "role": "assistant" } ]

[ "V860587", "V180159" ]

[ { "content": "<context>\nassign V627403 = V236890 - 1. assign V849878 = V857351 - 1. assign V629868 = V479129 - 1. assign V085711 = V092953. assign V526557 = V537608 + 1. assign V326181 = V240480. assign V056300 = V563343 + 1. assign V179698 = V004217. assign V529564 = V165646. assign V057605 = V891723 + 1. assign V236890 = V482421 - 1. assign V557416 = V312586 + 1. assign V779521 = V055633 + 1. assign V177885 = V678776. assign V700910 = V177885 - 1. assign V591820 = V390939. assign V431774 = V224394 - 1. assign V228058 = V994501 + 1. assign V390939 = V791224 - 1. assign V319530 = V629868 + 1. assign V891723 = V758057 + 1. assign V982252 = V857351. assign V751121 = V789803. assign V234181 = V390939 - 1. assign V312586 = V247730. assign V303686 = V810125. assign V095535 = V857351 + 1. assign V563343 = V423656 + 1. assign V744374 = V563343 + 1. assign V398342 = V031900. assign V819107 = V055633 - 1. assign V994501 = V891723 + 1. assign V857351 = V092953 + 1. assign V758057 = V857351 + 1. assign V325557 = V857351 - 1. assign V847633 = V095535. assign V168421 = V041116 - 1. assign V618853 = V221356. assign V860587 = 6. assign V041116 = V320761 - 1. assign V482421 = V092953 + 1. assign V723458 = V597735 + 1. assign V578557 = V637881 - 1. assign V540230 = V786040 - 1. assign V655990 = V678776 + 1. assign V678776 = V092953 - 1. assign V442835 = V236890. assign V537608 = V791224 + 1. assign V662571 = V325557. assign V004217 = V786040 - 1. assign V789803 = V479129 - 1. assign V942348 = V563343 + 1. assign V431991 = V326181 + 1. assign V810125 = V482421. assign V313106 = V092953 + 1. assign V297774 = V168421. assign V774666 = V819107 - 1. assign V611727 = V297774. assign V642161 = V221356 + 1. assign V320761 = V540230. assign V786040 = V982252. assign V637881 = V423656 + 1. assign V744215 = V678776 + 1. assign V791224 = V982252 - 1. assign V484020 = V786040 + 1. assign V165646 = V849878 + 1. assign V479129 = V758057. assign V180159 = V860587. assign V224394 = V972958 + 1. assign V055633 = V092953. assign V093491 = V540230 - 1. assign V695673 = V313106 + 1. assign V247730 = V678776 + 1. assign V221356 = V092953. assign V057739 = V744374 + 1. assign V670394 = V942348 - 1. assign V240480 = V041116 + 1. assign V397563 = V502715 - 1. assign V972958 = V057605 - 1. assign V423656 = V092953 + 1. assign V831798 = V655990 - 1. assign V574994 = V041116. assign V031900 = V810125. assign V502715 = V095535. assign V597735 = V574994 - 1. assign V074084 = V004217 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V627403 = V236890 - 1. assign V849878 = V857351 - 1. assign V629868 = V479129 - 1. assign V085711 = V092953. assign V526557 = V537608 + 1. assign V326181 = V240480. assign V056300 = V563343 + 1. assign V179698 = V004217. assign V529564 = V165646. assign V057605 = V891723 + 1. assign V236890 = V482421 - 1. assign V557416 = V312586 + 1. assign V779521 = V055633 + 1. assign V177885 = V678776. assign V700910 = V177885 - 1. assign V591820 = V390939. assign V431774 = V224394 - 1. assign V228058 = V994501 + 1. assign V390939 = V791224 - 1. assign V319530 = V629868 + 1. assign V891723 = V758057 + 1. assign V982252 = V857351. assign V751121 = V789803. assign V234181 = V390939 - 1. assign V312586 = V247730. assign V303686 = V810125. assign V095535 = V857351 + 1. assign V563343 = V423656 + 1. assign V744374 = V563343 + 1. assign V398342 = V031900. assign V819107 = V055633 - 1. assign V994501 = V891723 + 1. assign V857351 = V092953 + 1. assign V758057 = V857351 + 1. assign V325557 = V857351 - 1. assign V847633 = V095535. assign V168421 = V041116 - 1. assign V618853 = V221356. assign V860587 = 6. assign V041116 = V320761 - 1. assign V482421 = V092953 + 1. assign V723458 = V597735 + 1. assign V578557 = V637881 - 1. assign V540230 = V786040 - 1. assign V655990 = V678776 + 1. assign V678776 = V092953 - 1. assign V442835 = V236890. assign V537608 = V791224 + 1. assign V662571 = V325557. assign V004217 = V786040 - 1. assign V789803 = V479129 - 1. assign V942348 = V563343 + 1. assign V431991 = V326181 + 1. assign V810125 = V482421. assign V313106 = V092953 + 1. assign V297774 = V168421. assign V774666 = V819107 - 1. assign V611727 = V297774. assign V642161 = V221356 + 1. assign V320761 = V540230. assign V786040 = V982252. assign V637881 = V423656 + 1. assign V744215 = V678776 + 1. assign V791224 = V982252 - 1. assign V484020 = V786040 + 1. assign V165646 = V849878 + 1. assign V479129 = V758057. assign V180159 = V860587. assign V224394 = V972958 + 1. assign V055633 = V092953. assign V093491 = V540230 - 1. assign V695673 = V313106 + 1. assign V247730 = V678776 + 1. assign V221356 = V092953. assign V057739 = V744374 + 1. assign V670394 = V942348 - 1. assign V240480 = V041116 + 1. assign V397563 = V502715 - 1. assign V972958 = V057605 - 1. assign V423656 = V092953 + 1. assign V831798 = V655990 - 1. assign V574994 = V041116. assign V031900 = V810125. assign V502715 = V095535. assign V597735 = V574994 - 1. assign V074084 = V004217 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV860587 = 6;\n\nFrom these direct assignment(s), we have: \nV180159 = V860587 = 6;\nNo other variables can be derived from V180159;\nNo other variables can be derived from V860587;\n\nNow we have done all the calculations. Derived variables are:\nV860587 = 6;\nV180159 = 6;\n\nNow we have finished this problem. ANSWER:\nV860587, V180159\n", "role": "assistant" } ]