Datasets:

---

suehyunpark

/

gsm_infinite_symbolic_1k

like 0

[ "V135286" ]

[ { "content": "<context>\nassign V955862 = V150101. assign V973976 = V764813 + 1. assign V617081 = V554583 - 1. assign V616031 = V305054 + 1. assign V818218 = V657166. assign V179228 = V288229. assign V575879 = V286761. assign V156553 = V120085 + 1. assign V642043 = V238802. assign V449402 = V305054 - 1. assign V330027 = V131814 - 1. assign V554583 = V302099. assign V153264 = V650212 + 1. assign V611878 = V302099 + 1. assign V166430 = V657166 - 1. assign V757515 = V305054 - 1. assign V068607 = V238802. assign V541783 = V558510 - 1. assign V272495 = V679008 - 1. assign V943216 = V302099 + 1. assign V129202 = V641570 - 1. assign V906135 = V606521. assign V941818 = V071340. assign V638114 = V305054. assign V650212 = V166430 - 1. assign V238802 = V508711. assign V845654 = V508711 + 1. assign V419491 = V286761. assign V828715 = V041482. assign V679008 = V308613 + 1. assign V378526 = V920846. assign V606521 = V641570 + 1. assign V273038 = V641570 + 1. assign V708812 = V920846. assign V696658 = V305054 - 1. assign V614161 = V719136 + 1. assign V288229 = V347300. assign V645898 = V378526. assign V041482 = V641570 + 1. assign V847446 = V920846. assign V150101 = V920846 + 1. assign V657166 = V238802 - 1. assign V468953 = V611878 + 1. assign V071340 = V150101. assign V209918 = V508711 + 1. assign V186871 = V614161. assign V443748 = V996903 + 1. assign V071207 = V288229 + 1. assign V854446 = V508711 - 1. assign V308613 = V238802 + 1. assign V347300 = V642043 - 1. assign V641570 = V508711 - 1. assign V302099 = V508711 + 1. assign V920846 = V238802. assign V782457 = V906135 + 1. assign V533888 = V892346 + 1. assign V131814 = V302099 + 1. assign V202377 = V188421 - 1. assign V618577 = V508711. assign V963239 = V647126 + 1. assign V286761 = V554583 - 1. assign V764813 = V650212 - 1. assign V135286 = V144157 + 1. assign V364996 = V068607 + 1. assign V631414 = V071180 + 1. assign V423379 = V252639 + 1. assign V558510 = V071340. assign V305054 = V238802. assign V999527 = V468953. assign V071180 = V719136 - 1. assign V627143 = V533888. assign V120085 = V068607. assign V754168 = V719136 - 1. assign V868631 = V419491. assign V144157 = 5. assign V591242 = V645898. assign V084562 = V657166. assign V838678 = V611878 - 1. assign V188421 = V641570 - 1. assign V405120 = V423379 + 1. assign V719136 = V616031 + 1. assign V252639 = V941818 + 1. assign V095536 = V166430 - 1. assign V892346 = V845654 + 1. assign V647126 = V068607. assign V996903 = V288229 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V955862 = V150101. assign V973976 = V764813 + 1. assign V617081 = V554583 - 1. assign V616031 = V305054 + 1. assign V818218 = V657166. assign V179228 = V288229. assign V575879 = V286761. assign V156553 = V120085 + 1. assign V642043 = V238802. assign V449402 = V305054 - 1. assign V330027 = V131814 - 1. assign V554583 = V302099. assign V153264 = V650212 + 1. assign V611878 = V302099 + 1. assign V166430 = V657166 - 1. assign V757515 = V305054 - 1. assign V068607 = V238802. assign V541783 = V558510 - 1. assign V272495 = V679008 - 1. assign V943216 = V302099 + 1. assign V129202 = V641570 - 1. assign V906135 = V606521. assign V941818 = V071340. assign V638114 = V305054. assign V650212 = V166430 - 1. assign V238802 = V508711. assign V845654 = V508711 + 1. assign V419491 = V286761. assign V828715 = V041482. assign V679008 = V308613 + 1. assign V378526 = V920846. assign V606521 = V641570 + 1. assign V273038 = V641570 + 1. assign V708812 = V920846. assign V696658 = V305054 - 1. assign V614161 = V719136 + 1. assign V288229 = V347300. assign V645898 = V378526. assign V041482 = V641570 + 1. assign V847446 = V920846. assign V150101 = V920846 + 1. assign V657166 = V238802 - 1. assign V468953 = V611878 + 1. assign V071340 = V150101. assign V209918 = V508711 + 1. assign V186871 = V614161. assign V443748 = V996903 + 1. assign V071207 = V288229 + 1. assign V854446 = V508711 - 1. assign V308613 = V238802 + 1. assign V347300 = V642043 - 1. assign V641570 = V508711 - 1. assign V302099 = V508711 + 1. assign V920846 = V238802. assign V782457 = V906135 + 1. assign V533888 = V892346 + 1. assign V131814 = V302099 + 1. assign V202377 = V188421 - 1. assign V618577 = V508711. assign V963239 = V647126 + 1. assign V286761 = V554583 - 1. assign V764813 = V650212 - 1. assign V135286 = V144157 + 1. assign V364996 = V068607 + 1. assign V631414 = V071180 + 1. assign V423379 = V252639 + 1. assign V558510 = V071340. assign V305054 = V238802. assign V999527 = V468953. assign V071180 = V719136 - 1. assign V627143 = V533888. assign V120085 = V068607. assign V754168 = V719136 - 1. assign V868631 = V419491. assign V144157 = 5. assign V591242 = V645898. assign V084562 = V657166. assign V838678 = V611878 - 1. assign V188421 = V641570 - 1. assign V405120 = V423379 + 1. assign V719136 = V616031 + 1. assign V252639 = V941818 + 1. assign V095536 = V166430 - 1. assign V892346 = V845654 + 1. assign V647126 = V068607. assign V996903 = V288229 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV144157 = 5;\n\nFrom these direct assignment(s), we have: \nV135286 = V144157 + 1 = 5 + 1 =6;\nNo other variables can be derived from V135286;\nNo other variables can be derived from V144157;\n\nNow we have done all the calculations. Derived variables are:\nV144157 = 5;\nV135286 = 6;\n\nNow we have finished this problem. ANSWER:\nV135286\n", "role": "assistant" } ]

[ "V308160", "V331434" ]

[ { "content": "<context>\nassign V090980 = V230899 + 1. assign V299479 = V094618 - 1. assign V985973 = V605791. assign V331434 = V308160. assign V580246 = V943177 - 1. assign V605791 = V174369 + 1. assign V487877 = V763657 - 1. assign V881052 = V258992 - 1. assign V556026 = V605791 - 1. assign V122114 = V999417 + 1. assign V248892 = V763657 + 1. assign V096709 = V534992 - 1. assign V209913 = V258992 + 1. assign V174579 = V943177 + 1. assign V749277 = V148006. assign V399260 = V338319. assign V962204 = V465336. assign V612416 = V999417 - 1. assign V456376 = V763657. assign V358521 = V738649. assign V148006 = V943177 + 1. assign V404653 = V809943. assign V465336 = V605791 + 1. assign V614280 = V943177 + 1. assign V923059 = V563832 + 1. assign V372244 = V092426 - 1. assign V871527 = V614280. assign V209471 = V338319 - 1. assign V430311 = V465336 - 1. assign V545747 = V106664. assign V203271 = V375665 + 1. assign V955440 = V096709. assign V713920 = V771061. assign V573015 = V771061 - 1. assign V312909 = V573015 + 1. assign V776713 = V487877. assign V534992 = V738649 - 1. assign V092426 = V809943 - 1. assign V498403 = V947445. assign V646434 = V697936 - 1. assign V885399 = V743601. assign V808854 = V092426 - 1. assign V060748 = V299479 - 1. assign V698320 = V977264. assign V791413 = V580246. assign V730345 = V738649. assign V741320 = V487877 - 1. assign V285993 = V092426. assign V308160 = 3. assign V697936 = V955440 - 1. assign V680777 = V358521 + 1. assign V232770 = V487877 + 1. assign V068427 = V148006 + 1. assign V186916 = V358521. assign V579606 = V563832. assign V338319 = V738649. assign V864344 = V580246 - 1. assign V999417 = V068427 - 1. assign V763657 = V738649 + 1. assign V994737 = V962204 + 1. assign V891044 = V633819. assign V738784 = V312909 + 1. assign V517645 = V312909 + 1. assign V943177 = V738649 + 1. assign V174369 = V943177 - 1. assign V809943 = V465336 - 1. assign V743601 = V358521 + 1. assign V375665 = V358521 + 1. assign V230899 = V096709 - 1. assign V977264 = V209913 - 1. assign V633819 = V312909 + 1. assign V413022 = V487877 + 1. assign V355192 = V456376. assign V758477 = V809943 - 1. assign V947445 = V534992 + 1. assign V771061 = V738649. assign V697719 = V174369 + 1. assign V443410 = V698320 - 1. assign V258992 = V743601. assign V234163 = V885399 - 1. assign V563832 = V248892 + 1. assign V094618 = V258992 - 1. assign V105306 = V232770 + 1. assign V208750 = V743601 + 1. assign V106664 = V338319 - 1. assign V361525 = V092426.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V090980 = V230899 + 1. assign V299479 = V094618 - 1. assign V985973 = V605791. assign V331434 = V308160. assign V580246 = V943177 - 1. assign V605791 = V174369 + 1. assign V487877 = V763657 - 1. assign V881052 = V258992 - 1. assign V556026 = V605791 - 1. assign V122114 = V999417 + 1. assign V248892 = V763657 + 1. assign V096709 = V534992 - 1. assign V209913 = V258992 + 1. assign V174579 = V943177 + 1. assign V749277 = V148006. assign V399260 = V338319. assign V962204 = V465336. assign V612416 = V999417 - 1. assign V456376 = V763657. assign V358521 = V738649. assign V148006 = V943177 + 1. assign V404653 = V809943. assign V465336 = V605791 + 1. assign V614280 = V943177 + 1. assign V923059 = V563832 + 1. assign V372244 = V092426 - 1. assign V871527 = V614280. assign V209471 = V338319 - 1. assign V430311 = V465336 - 1. assign V545747 = V106664. assign V203271 = V375665 + 1. assign V955440 = V096709. assign V713920 = V771061. assign V573015 = V771061 - 1. assign V312909 = V573015 + 1. assign V776713 = V487877. assign V534992 = V738649 - 1. assign V092426 = V809943 - 1. assign V498403 = V947445. assign V646434 = V697936 - 1. assign V885399 = V743601. assign V808854 = V092426 - 1. assign V060748 = V299479 - 1. assign V698320 = V977264. assign V791413 = V580246. assign V730345 = V738649. assign V741320 = V487877 - 1. assign V285993 = V092426. assign V308160 = 3. assign V697936 = V955440 - 1. assign V680777 = V358521 + 1. assign V232770 = V487877 + 1. assign V068427 = V148006 + 1. assign V186916 = V358521. assign V579606 = V563832. assign V338319 = V738649. assign V864344 = V580246 - 1. assign V999417 = V068427 - 1. assign V763657 = V738649 + 1. assign V994737 = V962204 + 1. assign V891044 = V633819. assign V738784 = V312909 + 1. assign V517645 = V312909 + 1. assign V943177 = V738649 + 1. assign V174369 = V943177 - 1. assign V809943 = V465336 - 1. assign V743601 = V358521 + 1. assign V375665 = V358521 + 1. assign V230899 = V096709 - 1. assign V977264 = V209913 - 1. assign V633819 = V312909 + 1. assign V413022 = V487877 + 1. assign V355192 = V456376. assign V758477 = V809943 - 1. assign V947445 = V534992 + 1. assign V771061 = V738649. assign V697719 = V174369 + 1. assign V443410 = V698320 - 1. assign V258992 = V743601. assign V234163 = V885399 - 1. assign V563832 = V248892 + 1. assign V094618 = V258992 - 1. assign V105306 = V232770 + 1. assign V208750 = V743601 + 1. assign V106664 = V338319 - 1. assign V361525 = V092426.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV308160 = 3;\n\nFrom these direct assignment(s), we have: \nV331434 = V308160 = 3;\nNo other variables can be derived from V331434;\nNo other variables can be derived from V308160;\n\nNow we have done all the calculations. Derived variables are:\nV308160 = 3;\nV331434 = 3;\n\nNow we have finished this problem. ANSWER:\nV308160, V331434\n", "role": "assistant" } ]

[ "V219588" ]

[ { "content": "<context>\nassign V347391 = V322300 + 1. assign V312325 = V625760. assign V114166 = V588153 + 1. assign V043813 = V510368 + 1. assign V588153 = V894954 + 1. assign V871861 = V698620 - 1. assign V219588 = 5. assign V240546 = V510368. assign V745437 = V240546. assign V919739 = V207459 - 1. assign V728034 = V193587. assign V983478 = V803325. assign V015782 = V364215. assign V322300 = V909668 - 1. assign V510368 = V588153 - 1. assign V787454 = V219106 - 1. assign V275792 = V486414. assign V578592 = V600830 + 1. assign V363011 = V727817 + 1. assign V727725 = V510368. assign V515840 = V727817 - 1. assign V739147 = V787454 - 1. assign V845670 = V894954 + 1. assign V123386 = V588153. assign V365311 = V486414. assign V827817 = V193587 + 1. assign V168506 = V183144 - 1. assign V582049 = V535376. assign V887515 = V845670. assign V535376 = V322300. assign V746171 = V728034 - 1. assign V464670 = V096225 + 1. assign V675612 = V728034 - 1. assign V727817 = V246848 + 1. assign V666233 = V983478 - 1. assign V773270 = V887515 + 1. assign V168940 = V827817 + 1. assign V940398 = V195691 - 1. assign V193587 = V773270 + 1. assign V983156 = V588153 + 1. assign V521874 = V096225 + 1. assign V835587 = V510368. assign V294551 = V909668. assign V716734 = V219588 - 1. assign V600830 = V582049. assign V698620 = V625760. assign V541373 = V600830 + 1. assign V247301 = V727725 - 1. assign V630128 = V887515. assign V838668 = V246848 - 1. assign V602999 = V939394 - 1. assign V194599 = V845670. assign V375819 = V588153. assign V435168 = V845670 - 1. assign V486414 = V582049 + 1. assign V302758 = V630128. assign V099088 = V746171. assign V909668 = V246848. assign V541150 = V322300 + 1. assign V515475 = V363011. assign V300983 = V364215. assign V084479 = V168506 + 1. assign V833159 = V541150 + 1. assign V189613 = V919739 + 1. assign V939394 = V435168 - 1. assign V364215 = V625760. assign V219106 = V535376 + 1. assign V507938 = V195691. assign V209462 = V043813. assign V077842 = V630128 - 1. assign V803325 = V219106 + 1. assign V207459 = V219106. assign V256124 = V887515 + 1. assign V183144 = V845670 + 1. assign V193920 = V510368. assign V625760 = V773270 - 1. assign V657876 = V582049 - 1. assign V195691 = V347391 + 1. assign V246848 = V894954. assign V854833 = V194599 + 1. assign V096225 = V894954 + 1. assign V476348 = V193587 - 1. assign V433568 = V845670 + 1. assign V827664 = V096225 + 1. assign V263701 = V375819 - 1. assign V929314 = V168940 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V347391 = V322300 + 1. assign V312325 = V625760. assign V114166 = V588153 + 1. assign V043813 = V510368 + 1. assign V588153 = V894954 + 1. assign V871861 = V698620 - 1. assign V219588 = 5. assign V240546 = V510368. assign V745437 = V240546. assign V919739 = V207459 - 1. assign V728034 = V193587. assign V983478 = V803325. assign V015782 = V364215. assign V322300 = V909668 - 1. assign V510368 = V588153 - 1. assign V787454 = V219106 - 1. assign V275792 = V486414. assign V578592 = V600830 + 1. assign V363011 = V727817 + 1. assign V727725 = V510368. assign V515840 = V727817 - 1. assign V739147 = V787454 - 1. assign V845670 = V894954 + 1. assign V123386 = V588153. assign V365311 = V486414. assign V827817 = V193587 + 1. assign V168506 = V183144 - 1. assign V582049 = V535376. assign V887515 = V845670. assign V535376 = V322300. assign V746171 = V728034 - 1. assign V464670 = V096225 + 1. assign V675612 = V728034 - 1. assign V727817 = V246848 + 1. assign V666233 = V983478 - 1. assign V773270 = V887515 + 1. assign V168940 = V827817 + 1. assign V940398 = V195691 - 1. assign V193587 = V773270 + 1. assign V983156 = V588153 + 1. assign V521874 = V096225 + 1. assign V835587 = V510368. assign V294551 = V909668. assign V716734 = V219588 - 1. assign V600830 = V582049. assign V698620 = V625760. assign V541373 = V600830 + 1. assign V247301 = V727725 - 1. assign V630128 = V887515. assign V838668 = V246848 - 1. assign V602999 = V939394 - 1. assign V194599 = V845670. assign V375819 = V588153. assign V435168 = V845670 - 1. assign V486414 = V582049 + 1. assign V302758 = V630128. assign V099088 = V746171. assign V909668 = V246848. assign V541150 = V322300 + 1. assign V515475 = V363011. assign V300983 = V364215. assign V084479 = V168506 + 1. assign V833159 = V541150 + 1. assign V189613 = V919739 + 1. assign V939394 = V435168 - 1. assign V364215 = V625760. assign V219106 = V535376 + 1. assign V507938 = V195691. assign V209462 = V043813. assign V077842 = V630128 - 1. assign V803325 = V219106 + 1. assign V207459 = V219106. assign V256124 = V887515 + 1. assign V183144 = V845670 + 1. assign V193920 = V510368. assign V625760 = V773270 - 1. assign V657876 = V582049 - 1. assign V195691 = V347391 + 1. assign V246848 = V894954. assign V854833 = V194599 + 1. assign V096225 = V894954 + 1. assign V476348 = V193587 - 1. assign V433568 = V845670 + 1. assign V827664 = V096225 + 1. assign V263701 = V375819 - 1. assign V929314 = V168940 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV219588 = 5;\n\nFrom these direct assignment(s), we have: \nV716734 = V219588 - 1 = 5 - 1 =4;\nNo other variables can be derived from V716734;\nNo other variables can be derived from V219588;\n\nNow we have done all the calculations. Derived variables are:\nV219588 = 5;\nV716734 = 4;\n\nNow we have finished this problem. ANSWER:\nV219588\n", "role": "assistant" } ]

[ "V863704", "V760745" ]

[ { "content": "<context>\nassign V802310 = V081873. assign V423541 = V847283. assign V918954 = V660611 + 1. assign V898756 = V794358. assign V064203 = V250318 - 1. assign V489899 = V921276 - 1. assign V377868 = V430605 - 1. assign V360531 = V193719 - 1. assign V267208 = V116967 + 1. assign V811838 = V196084 - 1. assign V367591 = V726481 - 1. assign V996280 = V637000 + 1. assign V084901 = V726481. assign V772598 = V081873 + 1. assign V459836 = V991786 + 1. assign V440651 = V523825 - 1. assign V863704 = 8. assign V370032 = V467623 + 1. assign V121828 = V296982 - 1. assign V358767 = V196084 - 1. assign V728191 = V434651. assign V457404 = V081873. assign V178562 = V250318 + 1. assign V389622 = V991786. assign V726481 = V660611. assign V795381 = V990048 + 1. assign V974983 = V795381. assign V659425 = V389622 - 1. assign V637000 = V224624. assign V098292 = V996280. assign V824959 = V954860 + 1. assign V430605 = V081873 - 1. assign V523825 = V389622 - 1. assign V660611 = V991786 - 1. assign V250318 = V795381 - 1. assign V754050 = V811838 - 1. assign V768305 = V031853 - 1. assign V072830 = V266503 - 1. assign V720087 = V726481. assign V191882 = V434651 + 1. assign V687248 = V811838 - 1. assign V834165 = V031853 - 1. assign V423457 = V726481. assign V545051 = V147773. assign V990048 = V430605 - 1. assign V660455 = V990048 - 1. assign V078273 = V847283. assign V567900 = V921276 + 1. assign V414993 = V772598. assign V458085 = V076530 + 1. assign V954860 = V795381 + 1. assign V434651 = V991786 - 1. assign V679376 = V916876. assign V193719 = V954860 - 1. assign V614632 = V266503 - 1. assign V266503 = V660611 + 1. assign V467623 = V489899 - 1. assign V382413 = V991786 - 1. assign V966566 = V098292 + 1. assign V991786 = V081873 + 1. assign V318971 = V266503. assign V031853 = V954860 - 1. assign V916876 = V028567 - 1. assign V028567 = V846620 - 1. assign V224624 = V081873 + 1. assign V723618 = V360531 + 1. assign V296982 = V614632. assign V159875 = V921276 + 1. assign V586962 = V614632. assign V116967 = V266503 - 1. assign V147773 = V660611 + 1. assign V689805 = V921276 - 1. assign V859719 = V467623 - 1. assign V043462 = V467623 + 1. assign V076530 = V974983 - 1. assign V352782 = V423541 - 1. assign V847283 = V991786 - 1. assign V805309 = V193719. assign V719172 = V147773 - 1. assign V545194 = V847283 + 1. assign V846620 = V389622. assign V938632 = V728191. assign V794358 = V723618 + 1. assign V760745 = V863704. assign V196084 = V991786 + 1. assign V921276 = V084901 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V802310 = V081873. assign V423541 = V847283. assign V918954 = V660611 + 1. assign V898756 = V794358. assign V064203 = V250318 - 1. assign V489899 = V921276 - 1. assign V377868 = V430605 - 1. assign V360531 = V193719 - 1. assign V267208 = V116967 + 1. assign V811838 = V196084 - 1. assign V367591 = V726481 - 1. assign V996280 = V637000 + 1. assign V084901 = V726481. assign V772598 = V081873 + 1. assign V459836 = V991786 + 1. assign V440651 = V523825 - 1. assign V863704 = 8. assign V370032 = V467623 + 1. assign V121828 = V296982 - 1. assign V358767 = V196084 - 1. assign V728191 = V434651. assign V457404 = V081873. assign V178562 = V250318 + 1. assign V389622 = V991786. assign V726481 = V660611. assign V795381 = V990048 + 1. assign V974983 = V795381. assign V659425 = V389622 - 1. assign V637000 = V224624. assign V098292 = V996280. assign V824959 = V954860 + 1. assign V430605 = V081873 - 1. assign V523825 = V389622 - 1. assign V660611 = V991786 - 1. assign V250318 = V795381 - 1. assign V754050 = V811838 - 1. assign V768305 = V031853 - 1. assign V072830 = V266503 - 1. assign V720087 = V726481. assign V191882 = V434651 + 1. assign V687248 = V811838 - 1. assign V834165 = V031853 - 1. assign V423457 = V726481. assign V545051 = V147773. assign V990048 = V430605 - 1. assign V660455 = V990048 - 1. assign V078273 = V847283. assign V567900 = V921276 + 1. assign V414993 = V772598. assign V458085 = V076530 + 1. assign V954860 = V795381 + 1. assign V434651 = V991786 - 1. assign V679376 = V916876. assign V193719 = V954860 - 1. assign V614632 = V266503 - 1. assign V266503 = V660611 + 1. assign V467623 = V489899 - 1. assign V382413 = V991786 - 1. assign V966566 = V098292 + 1. assign V991786 = V081873 + 1. assign V318971 = V266503. assign V031853 = V954860 - 1. assign V916876 = V028567 - 1. assign V028567 = V846620 - 1. assign V224624 = V081873 + 1. assign V723618 = V360531 + 1. assign V296982 = V614632. assign V159875 = V921276 + 1. assign V586962 = V614632. assign V116967 = V266503 - 1. assign V147773 = V660611 + 1. assign V689805 = V921276 - 1. assign V859719 = V467623 - 1. assign V043462 = V467623 + 1. assign V076530 = V974983 - 1. assign V352782 = V423541 - 1. assign V847283 = V991786 - 1. assign V805309 = V193719. assign V719172 = V147773 - 1. assign V545194 = V847283 + 1. assign V846620 = V389622. assign V938632 = V728191. assign V794358 = V723618 + 1. assign V760745 = V863704. assign V196084 = V991786 + 1. assign V921276 = V084901 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV863704 = 8;\n\nFrom these direct assignment(s), we have: \nV760745 = V863704 = 8;\nNo other variables can be derived from V760745;\nNo other variables can be derived from V863704;\n\nNow we have done all the calculations. Derived variables are:\nV863704 = 8;\nV760745 = 8;\n\nNow we have finished this problem. ANSWER:\nV863704, V760745\n", "role": "assistant" } ]

[ "V305622", "V948313" ]

[ { "content": "<context>\nassign V154342 = V126351 - 1. assign V969007 = V942513 - 1. assign V543403 = V392181 - 1. assign V270963 = V990670 + 1. assign V563634 = V647730 + 1. assign V591757 = V299275. assign V114180 = V394525 - 1. assign V096278 = V297798. assign V444005 = V358886. assign V649370 = V877874. assign V767753 = V641239. assign V537989 = V297798 + 1. assign V448383 = V641239 - 1. assign V647730 = V316279. assign V045150 = V641239 - 1. assign V948313 = V305622. assign V392181 = V883738 + 1. assign V027053 = V473278. assign V297798 = V282811 - 1. assign V751430 = V641239. assign V586833 = V758958. assign V131701 = V834062 + 1. assign V351895 = V458363. assign V282811 = V197193 + 1. assign V529640 = V407047 - 1. assign V261920 = V444005 - 1. assign V919751 = V767753 - 1. assign V643562 = V150140. assign V423866 = V961392 + 1. assign V385613 = V394525 + 1. assign V758958 = V591757 - 1. assign V239846 = V265831. assign V356685 = V213319 + 1. assign V482270 = V282811 + 1. assign V292585 = V407047 - 1. assign V942513 = V239846 - 1. assign V951466 = V458363. assign V900201 = V394525 + 1. assign V123561 = V114180 - 1. assign V678768 = V641239 - 1. assign V480164 = V369085. assign V632498 = V911141. assign V840280 = V529640. assign V407047 = V394525. assign V838192 = V385613. assign V877874 = V758958 - 1. assign V714676 = V158409 - 1. assign V235614 = V316279 - 1. assign V079591 = V027053 - 1. assign V299275 = V394525 - 1. assign V197193 = V458363 - 1. assign V369085 = V767753 + 1. assign V473278 = V407047 - 1. assign V458363 = V158409 - 1. assign V375380 = V083685 + 1. assign V411890 = V596084. assign V669043 = V900201 - 1. assign V329698 = V407047 + 1. assign V911141 = V473278 - 1. assign V305622 = 1. assign V641239 = V473278. assign V371580 = V714676. assign V596084 = V641239 + 1. assign V156746 = V529640 - 1. assign V883738 = V316279 - 1. assign V335648 = V911141 - 1. assign V099081 = V529640. assign V213319 = V407047 - 1. assign V131361 = V176154 + 1. assign V158409 = V394525. assign V176154 = V394525. assign V083685 = V714676 - 1. assign V961392 = V371580 - 1. assign V265831 = V158409 + 1. assign V309253 = V632498. assign V834062 = V282811 - 1. assign V949387 = V351895. assign V126351 = V473278 + 1. assign V389198 = V751430 - 1. assign V316279 = V529640. assign V150140 = V529640. assign V602319 = V480164 + 1. assign V308824 = V480164 + 1. assign V358886 = V158409 + 1. assign V349603 = V900201 - 1. assign V990670 = V591757 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V154342 = V126351 - 1. assign V969007 = V942513 - 1. assign V543403 = V392181 - 1. assign V270963 = V990670 + 1. assign V563634 = V647730 + 1. assign V591757 = V299275. assign V114180 = V394525 - 1. assign V096278 = V297798. assign V444005 = V358886. assign V649370 = V877874. assign V767753 = V641239. assign V537989 = V297798 + 1. assign V448383 = V641239 - 1. assign V647730 = V316279. assign V045150 = V641239 - 1. assign V948313 = V305622. assign V392181 = V883738 + 1. assign V027053 = V473278. assign V297798 = V282811 - 1. assign V751430 = V641239. assign V586833 = V758958. assign V131701 = V834062 + 1. assign V351895 = V458363. assign V282811 = V197193 + 1. assign V529640 = V407047 - 1. assign V261920 = V444005 - 1. assign V919751 = V767753 - 1. assign V643562 = V150140. assign V423866 = V961392 + 1. assign V385613 = V394525 + 1. assign V758958 = V591757 - 1. assign V239846 = V265831. assign V356685 = V213319 + 1. assign V482270 = V282811 + 1. assign V292585 = V407047 - 1. assign V942513 = V239846 - 1. assign V951466 = V458363. assign V900201 = V394525 + 1. assign V123561 = V114180 - 1. assign V678768 = V641239 - 1. assign V480164 = V369085. assign V632498 = V911141. assign V840280 = V529640. assign V407047 = V394525. assign V838192 = V385613. assign V877874 = V758958 - 1. assign V714676 = V158409 - 1. assign V235614 = V316279 - 1. assign V079591 = V027053 - 1. assign V299275 = V394525 - 1. assign V197193 = V458363 - 1. assign V369085 = V767753 + 1. assign V473278 = V407047 - 1. assign V458363 = V158409 - 1. assign V375380 = V083685 + 1. assign V411890 = V596084. assign V669043 = V900201 - 1. assign V329698 = V407047 + 1. assign V911141 = V473278 - 1. assign V305622 = 1. assign V641239 = V473278. assign V371580 = V714676. assign V596084 = V641239 + 1. assign V156746 = V529640 - 1. assign V883738 = V316279 - 1. assign V335648 = V911141 - 1. assign V099081 = V529640. assign V213319 = V407047 - 1. assign V131361 = V176154 + 1. assign V158409 = V394525. assign V176154 = V394525. assign V083685 = V714676 - 1. assign V961392 = V371580 - 1. assign V265831 = V158409 + 1. assign V309253 = V632498. assign V834062 = V282811 - 1. assign V949387 = V351895. assign V126351 = V473278 + 1. assign V389198 = V751430 - 1. assign V316279 = V529640. assign V150140 = V529640. assign V602319 = V480164 + 1. assign V308824 = V480164 + 1. assign V358886 = V158409 + 1. assign V349603 = V900201 - 1. assign V990670 = V591757 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV305622 = 1;\n\nFrom these direct assignment(s), we have: \nV948313 = V305622 = 1;\nNo other variables can be derived from V948313;\nNo other variables can be derived from V305622;\n\nNow we have done all the calculations. Derived variables are:\nV305622 = 1;\nV948313 = 1;\n\nNow we have finished this problem. ANSWER:\nV305622, V948313\n", "role": "assistant" } ]

[ "V471353", "V579755" ]

[ { "content": "<context>\nassign V787604 = V207960 + 1. assign V818073 = V207960. assign V749377 = V613723 - 1. assign V994121 = V147808 - 1. assign V242043 = V839050 - 1. assign V663737 = V877408 - 1. assign V187299 = V387395. assign V019619 = V124236. assign V988839 = V156346 + 1. assign V877408 = V894189 + 1. assign V023872 = V750191 - 1. assign V472253 = V147808. assign V717320 = V088668 - 1. assign V892829 = V741035 - 1. assign V205714 = V353750. assign V204463 = V869651 - 1. assign V088668 = V869651. assign V435799 = V830864. assign V955409 = V606432 - 1. assign V221218 = V088668 - 1. assign V844244 = V606432. assign V782548 = V472253 - 1. assign V340204 = V892829. assign V750191 = V353750 - 1. assign V694176 = V156346. assign V100534 = V777908 + 1. assign V613723 = V741035 + 1. assign V255577 = V741035 + 1. assign V592002 = V542680 + 1. assign V471353 = 5. assign V156346 = V205714 - 1. assign V774783 = V894189 - 1. assign V906893 = V205714. assign V414480 = V894189 - 1. assign V258314 = V912629. assign V537137 = V387395 + 1. assign V259717 = V390187 - 1. assign V616996 = V533479. assign V683766 = V124236 + 1. assign V895159 = V276189 - 1. assign V720301 = V610968 + 1. assign V606432 = V023872 + 1. assign V353750 = V877408 - 1. assign V276189 = V414480 + 1. assign V936533 = V663737 + 1. assign V922349 = V537137 - 1. assign V542680 = V750191 - 1. assign V643340 = V606432 + 1. assign V777908 = V205714 - 1. assign V869651 = V741035 - 1. assign V413469 = V031279. assign V207960 = V983497. assign V579755 = V471353. assign V215298 = V340204. assign V830864 = V534516 + 1. assign V431279 = V542680 - 1. assign V005692 = V073863 + 1. assign V265701 = V830864 + 1. assign V717816 = V255577 + 1. assign V533479 = V955409 + 1. assign V678472 = V844244 + 1. assign V610968 = V023872. assign V983497 = V777908 - 1. assign V124236 = V877408 + 1. assign V147808 = V892829 + 1. assign V387395 = V877408. assign V534516 = V877408 + 1. assign V073863 = V023872. assign V412164 = V031279. assign V303313 = V265701. assign V344961 = V088668 + 1. assign V221648 = V830864 - 1. assign V796025 = V750191 + 1. assign V757071 = V877408 - 1. assign V741035 = V414480 - 1. assign V001421 = V205714 - 1. assign V839050 = V353750 + 1. assign V240253 = V720301 - 1. assign V390187 = V894189 - 1. assign V872059 = V717816 + 1. assign V966375 = V414480 + 1. assign V447876 = V534516 + 1. assign V912629 = V353750. assign V031279 = V001421. assign V069286 = V983497 - 1. assign V656402 = V124236 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V787604 = V207960 + 1. assign V818073 = V207960. assign V749377 = V613723 - 1. assign V994121 = V147808 - 1. assign V242043 = V839050 - 1. assign V663737 = V877408 - 1. assign V187299 = V387395. assign V019619 = V124236. assign V988839 = V156346 + 1. assign V877408 = V894189 + 1. assign V023872 = V750191 - 1. assign V472253 = V147808. assign V717320 = V088668 - 1. assign V892829 = V741035 - 1. assign V205714 = V353750. assign V204463 = V869651 - 1. assign V088668 = V869651. assign V435799 = V830864. assign V955409 = V606432 - 1. assign V221218 = V088668 - 1. assign V844244 = V606432. assign V782548 = V472253 - 1. assign V340204 = V892829. assign V750191 = V353750 - 1. assign V694176 = V156346. assign V100534 = V777908 + 1. assign V613723 = V741035 + 1. assign V255577 = V741035 + 1. assign V592002 = V542680 + 1. assign V471353 = 5. assign V156346 = V205714 - 1. assign V774783 = V894189 - 1. assign V906893 = V205714. assign V414480 = V894189 - 1. assign V258314 = V912629. assign V537137 = V387395 + 1. assign V259717 = V390187 - 1. assign V616996 = V533479. assign V683766 = V124236 + 1. assign V895159 = V276189 - 1. assign V720301 = V610968 + 1. assign V606432 = V023872 + 1. assign V353750 = V877408 - 1. assign V276189 = V414480 + 1. assign V936533 = V663737 + 1. assign V922349 = V537137 - 1. assign V542680 = V750191 - 1. assign V643340 = V606432 + 1. assign V777908 = V205714 - 1. assign V869651 = V741035 - 1. assign V413469 = V031279. assign V207960 = V983497. assign V579755 = V471353. assign V215298 = V340204. assign V830864 = V534516 + 1. assign V431279 = V542680 - 1. assign V005692 = V073863 + 1. assign V265701 = V830864 + 1. assign V717816 = V255577 + 1. assign V533479 = V955409 + 1. assign V678472 = V844244 + 1. assign V610968 = V023872. assign V983497 = V777908 - 1. assign V124236 = V877408 + 1. assign V147808 = V892829 + 1. assign V387395 = V877408. assign V534516 = V877408 + 1. assign V073863 = V023872. assign V412164 = V031279. assign V303313 = V265701. assign V344961 = V088668 + 1. assign V221648 = V830864 - 1. assign V796025 = V750191 + 1. assign V757071 = V877408 - 1. assign V741035 = V414480 - 1. assign V001421 = V205714 - 1. assign V839050 = V353750 + 1. assign V240253 = V720301 - 1. assign V390187 = V894189 - 1. assign V872059 = V717816 + 1. assign V966375 = V414480 + 1. assign V447876 = V534516 + 1. assign V912629 = V353750. assign V031279 = V001421. assign V069286 = V983497 - 1. assign V656402 = V124236 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV471353 = 5;\n\nFrom these direct assignment(s), we have: \nV579755 = V471353 = 5;\nNo other variables can be derived from V579755;\nNo other variables can be derived from V471353;\n\nNow we have done all the calculations. Derived variables are:\nV471353 = 5;\nV579755 = 5;\n\nNow we have finished this problem. ANSWER:\nV471353, V579755\n", "role": "assistant" } ]

[ "V687390" ]

[ { "content": "<context>\nassign V148865 = V410323 - 1. assign V733676 = V055300 - 1. assign V205355 = V616090 + 1. assign V088107 = V231373 - 1. assign V372906 = V889056 - 1. assign V642085 = V029326 + 1. assign V677496 = V208014 - 1. assign V386701 = V949908 - 1. assign V785799 = V798079 + 1. assign V601829 = V410323 + 1. assign V775412 = V717731. assign V736248 = V907416 + 1. assign V388892 = V642085. assign V320091 = V538411 + 1. assign V721742 = V642085 + 1. assign V055300 = V889056. assign V692177 = V148865. assign V448530 = V061352 - 1. assign V771141 = V262955 - 1. assign V486157 = V231373. assign V285760 = V428905. assign V599047 = V262955. assign V664021 = V889056. assign V090149 = V418690 + 1. assign V616090 = V262955. assign V336709 = V450243 - 1. assign V650882 = V664021 + 1. assign V816521 = V193549 + 1. assign V796629 = V231373 + 1. assign V553389 = V144867. assign V798079 = V450243. assign V178088 = V205355 - 1. assign V907416 = V073047 + 1. assign V521426 = V448430 - 1. assign V919667 = V933522. assign V448815 = V664021 + 1. assign V208014 = V562067. assign V717731 = V949908 + 1. assign V687390 = V475223 + 1. assign V069609 = V029326 + 1. assign V512362 = V597355 + 1. assign V231373 = V642085 + 1. assign V144867 = V748802. assign V807620 = V771141. assign V129451 = V448530 - 1. assign V313061 = V055300 + 1. assign V586048 = V148865 + 1. assign V410323 = V069609. assign V256756 = V798079 - 1. assign V448430 = V148865. assign V492862 = V488462. assign V583280 = V029326 + 1. assign V562067 = V748802. assign V859911 = V586048. assign V736128 = V073047 + 1. assign V889056 = V642085 - 1. assign V949908 = V748802 - 1. assign V073047 = V642085. assign V270059 = V178088. assign V906089 = V069609 + 1. assign V031820 = V616090. assign V428905 = V388892 - 1. assign V957971 = V205355 - 1. assign V893834 = V193549 + 1. assign V003488 = V771141 - 1. assign V262955 = V717731 - 1. assign V475223 = 5. assign V597355 = V448530 - 1. assign V295430 = V759131 - 1. assign V933522 = V717731 - 1. assign V538411 = V208014. assign V193549 = V717731 + 1. assign V450243 = V949908 + 1. assign V418690 = V178088. assign V478515 = V736128 - 1. assign V800967 = V583280. assign V232490 = V807620 - 1. assign V461627 = V796629 + 1. assign V574635 = V262955. assign V029326 = V949908 + 1. assign V917934 = V562067 - 1. assign V985510 = V193549 - 1. assign V759131 = V450243. assign V488462 = V736128 + 1. assign V824243 = V807620. assign V061352 = V717731 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V148865 = V410323 - 1. assign V733676 = V055300 - 1. assign V205355 = V616090 + 1. assign V088107 = V231373 - 1. assign V372906 = V889056 - 1. assign V642085 = V029326 + 1. assign V677496 = V208014 - 1. assign V386701 = V949908 - 1. assign V785799 = V798079 + 1. assign V601829 = V410323 + 1. assign V775412 = V717731. assign V736248 = V907416 + 1. assign V388892 = V642085. assign V320091 = V538411 + 1. assign V721742 = V642085 + 1. assign V055300 = V889056. assign V692177 = V148865. assign V448530 = V061352 - 1. assign V771141 = V262955 - 1. assign V486157 = V231373. assign V285760 = V428905. assign V599047 = V262955. assign V664021 = V889056. assign V090149 = V418690 + 1. assign V616090 = V262955. assign V336709 = V450243 - 1. assign V650882 = V664021 + 1. assign V816521 = V193549 + 1. assign V796629 = V231373 + 1. assign V553389 = V144867. assign V798079 = V450243. assign V178088 = V205355 - 1. assign V907416 = V073047 + 1. assign V521426 = V448430 - 1. assign V919667 = V933522. assign V448815 = V664021 + 1. assign V208014 = V562067. assign V717731 = V949908 + 1. assign V687390 = V475223 + 1. assign V069609 = V029326 + 1. assign V512362 = V597355 + 1. assign V231373 = V642085 + 1. assign V144867 = V748802. assign V807620 = V771141. assign V129451 = V448530 - 1. assign V313061 = V055300 + 1. assign V586048 = V148865 + 1. assign V410323 = V069609. assign V256756 = V798079 - 1. assign V448430 = V148865. assign V492862 = V488462. assign V583280 = V029326 + 1. assign V562067 = V748802. assign V859911 = V586048. assign V736128 = V073047 + 1. assign V889056 = V642085 - 1. assign V949908 = V748802 - 1. assign V073047 = V642085. assign V270059 = V178088. assign V906089 = V069609 + 1. assign V031820 = V616090. assign V428905 = V388892 - 1. assign V957971 = V205355 - 1. assign V893834 = V193549 + 1. assign V003488 = V771141 - 1. assign V262955 = V717731 - 1. assign V475223 = 5. assign V597355 = V448530 - 1. assign V295430 = V759131 - 1. assign V933522 = V717731 - 1. assign V538411 = V208014. assign V193549 = V717731 + 1. assign V450243 = V949908 + 1. assign V418690 = V178088. assign V478515 = V736128 - 1. assign V800967 = V583280. assign V232490 = V807620 - 1. assign V461627 = V796629 + 1. assign V574635 = V262955. assign V029326 = V949908 + 1. assign V917934 = V562067 - 1. assign V985510 = V193549 - 1. assign V759131 = V450243. assign V488462 = V736128 + 1. assign V824243 = V807620. assign V061352 = V717731 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV475223 = 5;\n\nFrom these direct assignment(s), we have: \nV687390 = V475223 + 1 = 5 + 1 =6;\nNo other variables can be derived from V687390;\nNo other variables can be derived from V475223;\n\nNow we have done all the calculations. Derived variables are:\nV475223 = 5;\nV687390 = 6;\n\nNow we have finished this problem. ANSWER:\nV687390\n", "role": "assistant" } ]

[ "V186762" ]

[ { "content": "<context>\nassign V095543 = V324134 + 1. assign V220760 = V555235 - 1. assign V832178 = V023082. assign V852580 = V324134 - 1. assign V131604 = V324134. assign V751861 = V937838. assign V137725 = V095543. assign V402494 = V771737. assign V446996 = V095543 - 1. assign V345345 = V909474 - 1. assign V997409 = 3. assign V369865 = V623344 - 1. assign V695518 = V304791 - 1. assign V623082 = V199994 - 1. assign V878073 = V888920. assign V652092 = V131604 - 1. assign V348166 = V481791. assign V433192 = V306601. assign V954996 = V536880 - 1. assign V857505 = V904507 + 1. assign V687621 = V807484. assign V709181 = V931799 - 1. assign V948856 = V339567. assign V789278 = V324134. assign V904507 = V582961 - 1. assign V205183 = V310427. assign V049989 = V695518. assign V623344 = V582961 + 1. assign V764091 = V131604 + 1. assign V779195 = V786359 + 1. assign V339567 = V345345. assign V771737 = V888920 + 1. assign V304791 = V324134 - 1. assign V786359 = V433192 + 1. assign V144139 = V399033 + 1. assign V888920 = V324134 + 1. assign V186762 = V997409 - 1. assign V310427 = V353921 + 1. assign V807484 = V369865. assign V546976 = V433192. assign V634806 = V095543 + 1. assign V581389 = V832178 - 1. assign V480970 = V904507 - 1. assign V909474 = V333696 - 1. assign V937838 = V310427. assign V662560 = V399033 - 1. assign V297089 = V199994 + 1. assign V058172 = V664828. assign V946663 = V637906 + 1. assign V953973 = V709181. assign V420962 = V555235 - 1. assign V199994 = V954996 + 1. assign V770097 = V324134. assign V921732 = V256654 - 1. assign V481791 = V095543 + 1. assign V023082 = V095543 + 1. assign V628035 = V131604 - 1. assign V352201 = V637906 - 1. assign V808318 = V954996. assign V990246 = V939695. assign V586969 = V297089. assign V144697 = V695518 - 1. assign V931799 = V555235. assign V399033 = V433192 - 1. assign V939695 = V536880 + 1. assign V388373 = V402494 - 1. assign V555235 = V304791. assign V766714 = V921732 - 1. assign V979292 = V931799. assign V846188 = V664828 + 1. assign V637906 = V304791. assign V470252 = V420962. assign V582961 = V536880 + 1. assign V723785 = V888920. assign V353921 = V921732 - 1. assign V531344 = V536880 - 1. assign V841943 = V904507 + 1. assign V333696 = V536880. assign V306601 = V931799 + 1. assign V299951 = V348166. assign V256654 = V131604 + 1. assign V510095 = V297089 + 1. assign V822040 = V481791 - 1. assign V324134 = V582961. assign V930804 = V310427. assign V664828 = V095543 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V095543 = V324134 + 1. assign V220760 = V555235 - 1. assign V832178 = V023082. assign V852580 = V324134 - 1. assign V131604 = V324134. assign V751861 = V937838. assign V137725 = V095543. assign V402494 = V771737. assign V446996 = V095543 - 1. assign V345345 = V909474 - 1. assign V997409 = 3. assign V369865 = V623344 - 1. assign V695518 = V304791 - 1. assign V623082 = V199994 - 1. assign V878073 = V888920. assign V652092 = V131604 - 1. assign V348166 = V481791. assign V433192 = V306601. assign V954996 = V536880 - 1. assign V857505 = V904507 + 1. assign V687621 = V807484. assign V709181 = V931799 - 1. assign V948856 = V339567. assign V789278 = V324134. assign V904507 = V582961 - 1. assign V205183 = V310427. assign V049989 = V695518. assign V623344 = V582961 + 1. assign V764091 = V131604 + 1. assign V779195 = V786359 + 1. assign V339567 = V345345. assign V771737 = V888920 + 1. assign V304791 = V324134 - 1. assign V786359 = V433192 + 1. assign V144139 = V399033 + 1. assign V888920 = V324134 + 1. assign V186762 = V997409 - 1. assign V310427 = V353921 + 1. assign V807484 = V369865. assign V546976 = V433192. assign V634806 = V095543 + 1. assign V581389 = V832178 - 1. assign V480970 = V904507 - 1. assign V909474 = V333696 - 1. assign V937838 = V310427. assign V662560 = V399033 - 1. assign V297089 = V199994 + 1. assign V058172 = V664828. assign V946663 = V637906 + 1. assign V953973 = V709181. assign V420962 = V555235 - 1. assign V199994 = V954996 + 1. assign V770097 = V324134. assign V921732 = V256654 - 1. assign V481791 = V095543 + 1. assign V023082 = V095543 + 1. assign V628035 = V131604 - 1. assign V352201 = V637906 - 1. assign V808318 = V954996. assign V990246 = V939695. assign V586969 = V297089. assign V144697 = V695518 - 1. assign V931799 = V555235. assign V399033 = V433192 - 1. assign V939695 = V536880 + 1. assign V388373 = V402494 - 1. assign V555235 = V304791. assign V766714 = V921732 - 1. assign V979292 = V931799. assign V846188 = V664828 + 1. assign V637906 = V304791. assign V470252 = V420962. assign V582961 = V536880 + 1. assign V723785 = V888920. assign V353921 = V921732 - 1. assign V531344 = V536880 - 1. assign V841943 = V904507 + 1. assign V333696 = V536880. assign V306601 = V931799 + 1. assign V299951 = V348166. assign V256654 = V131604 + 1. assign V510095 = V297089 + 1. assign V822040 = V481791 - 1. assign V324134 = V582961. assign V930804 = V310427. assign V664828 = V095543 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV997409 = 3;\n\nFrom these direct assignment(s), we have: \nV186762 = V997409 - 1 = 3 - 1 =2;\nNo other variables can be derived from V186762;\nNo other variables can be derived from V997409;\n\nNow we have done all the calculations. Derived variables are:\nV997409 = 3;\nV186762 = 2;\n\nNow we have finished this problem. ANSWER:\nV186762\n", "role": "assistant" } ]

[ "V478557", "V388033" ]

[ { "content": "<context>\nassign V577399 = V914804 - 1. assign V223456 = V578171 + 1. assign V018389 = V681710 + 1. assign V399998 = V946024 + 1. assign V676153 = V757210 + 1. assign V021666 = V836861. assign V681710 = V696452 + 1. assign V589324 = V102602. assign V316597 = V643793 + 1. assign V519832 = V564379 + 1. assign V694624 = V301380. assign V355697 = V054853 - 1. assign V696452 = V914804. assign V056063 = V883455 - 1. assign V923058 = V223456. assign V329844 = V393246 - 1. assign V054853 = V056063 + 1. assign V388033 = V478557. assign V747573 = V551858. assign V619406 = V269041 + 1. assign V591378 = V487752 - 1. assign V360782 = V056063. assign V546435 = V095507 + 1. assign V610180 = V373518 - 1. assign V643793 = V768967. assign V416079 = V329844. assign V393246 = V381350 + 1. assign V583197 = V167652 + 1. assign V234296 = V747573. assign V478557 = 2. assign V564379 = V941108 - 1. assign V169518 = V835628 + 1. assign V852170 = V768967 + 1. assign V255830 = V269041 - 1. assign V269041 = V048255 + 1. assign V102602 = V167652 - 1. assign V782360 = V577399. assign V458975 = V720610 - 1. assign V757210 = V886988. assign V768967 = V487752 + 1. assign V551858 = V048255 - 1. assign V048255 = V914804 + 1. assign V910118 = V087285. assign V847789 = V167652 + 1. assign V167652 = V056063. assign V191344 = V551858 - 1. assign V989300 = V747573 - 1. assign V835628 = V018389 - 1. assign V487752 = V847789 - 1. assign V496178 = V360287. assign V875326 = V564379. assign V328210 = V496178 + 1. assign V898879 = V551858 - 1. assign V381350 = V355697. assign V595054 = V507620 - 1. assign V627582 = V056063. assign V087285 = V883455 + 1. assign V598266 = V847789 + 1. assign V508258 = V329844. assign V941108 = V883455 - 1. assign V289816 = V054853 - 1. assign V872062 = V393246. assign V946024 = V768967 - 1. assign V269334 = V898879 + 1. assign V063556 = V191344 + 1. assign V857891 = V095507 - 1. assign V836861 = V627582 - 1. assign V505260 = V782360. assign V274608 = V551858 - 1. assign V886988 = V583197 - 1. assign V009319 = V393246. assign V527342 = V619406. assign V095507 = V627582. assign V301380 = V583197. assign V578171 = V941108 + 1. assign V914804 = V941108 - 1. assign V720610 = V591378. assign V032452 = V782360 - 1. assign V463374 = V048255 - 1. assign V280487 = V914804 + 1. assign V611128 = V167652 + 1. assign V816551 = V589324 + 1. assign V165524 = V941108 - 1. assign V507620 = V941108 + 1. assign V360287 = V102602 + 1. assign V373518 = V836861 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V577399 = V914804 - 1. assign V223456 = V578171 + 1. assign V018389 = V681710 + 1. assign V399998 = V946024 + 1. assign V676153 = V757210 + 1. assign V021666 = V836861. assign V681710 = V696452 + 1. assign V589324 = V102602. assign V316597 = V643793 + 1. assign V519832 = V564379 + 1. assign V694624 = V301380. assign V355697 = V054853 - 1. assign V696452 = V914804. assign V056063 = V883455 - 1. assign V923058 = V223456. assign V329844 = V393246 - 1. assign V054853 = V056063 + 1. assign V388033 = V478557. assign V747573 = V551858. assign V619406 = V269041 + 1. assign V591378 = V487752 - 1. assign V360782 = V056063. assign V546435 = V095507 + 1. assign V610180 = V373518 - 1. assign V643793 = V768967. assign V416079 = V329844. assign V393246 = V381350 + 1. assign V583197 = V167652 + 1. assign V234296 = V747573. assign V478557 = 2. assign V564379 = V941108 - 1. assign V169518 = V835628 + 1. assign V852170 = V768967 + 1. assign V255830 = V269041 - 1. assign V269041 = V048255 + 1. assign V102602 = V167652 - 1. assign V782360 = V577399. assign V458975 = V720610 - 1. assign V757210 = V886988. assign V768967 = V487752 + 1. assign V551858 = V048255 - 1. assign V048255 = V914804 + 1. assign V910118 = V087285. assign V847789 = V167652 + 1. assign V167652 = V056063. assign V191344 = V551858 - 1. assign V989300 = V747573 - 1. assign V835628 = V018389 - 1. assign V487752 = V847789 - 1. assign V496178 = V360287. assign V875326 = V564379. assign V328210 = V496178 + 1. assign V898879 = V551858 - 1. assign V381350 = V355697. assign V595054 = V507620 - 1. assign V627582 = V056063. assign V087285 = V883455 + 1. assign V598266 = V847789 + 1. assign V508258 = V329844. assign V941108 = V883455 - 1. assign V289816 = V054853 - 1. assign V872062 = V393246. assign V946024 = V768967 - 1. assign V269334 = V898879 + 1. assign V063556 = V191344 + 1. assign V857891 = V095507 - 1. assign V836861 = V627582 - 1. assign V505260 = V782360. assign V274608 = V551858 - 1. assign V886988 = V583197 - 1. assign V009319 = V393246. assign V527342 = V619406. assign V095507 = V627582. assign V301380 = V583197. assign V578171 = V941108 + 1. assign V914804 = V941108 - 1. assign V720610 = V591378. assign V032452 = V782360 - 1. assign V463374 = V048255 - 1. assign V280487 = V914804 + 1. assign V611128 = V167652 + 1. assign V816551 = V589324 + 1. assign V165524 = V941108 - 1. assign V507620 = V941108 + 1. assign V360287 = V102602 + 1. assign V373518 = V836861 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV478557 = 2;\n\nFrom these direct assignment(s), we have: \nV388033 = V478557 = 2;\nNo other variables can be derived from V388033;\nNo other variables can be derived from V478557;\n\nNow we have done all the calculations. Derived variables are:\nV478557 = 2;\nV388033 = 2;\n\nNow we have finished this problem. ANSWER:\nV478557, V388033\n", "role": "assistant" } ]

[ "V051000", "V201695" ]

[ { "content": "<context>\nassign V695415 = V989128 + 1. assign V017838 = V531490. assign V795888 = V354838. assign V720099 = V324265 - 1. assign V693215 = V395834 - 1. assign V831526 = V380549 - 1. assign V147401 = V712735 + 1. assign V649402 = V856425 - 1. assign V521685 = V354838. assign V171383 = V168375 - 1. assign V751708 = V676530 + 1. assign V201695 = V051000. assign V168375 = V695415 + 1. assign V676530 = V283710. assign V618201 = V695415 - 1. assign V068766 = V603064 + 1. assign V565958 = V171383. assign V998303 = V324265 - 1. assign V496580 = V676530. assign V853589 = V795888. assign V506030 = V658542 + 1. assign V531490 = V775760 - 1. assign V324265 = V017838 - 1. assign V294483 = V083875 - 1. assign V099235 = V171383 - 1. assign V856425 = V395834 + 1. assign V940796 = V603064. assign V193512 = V842091 - 1. assign V499451 = V410383 + 1. assign V832617 = V767330 - 1. assign V745444 = V603064 + 1. assign V842091 = V395834 - 1. assign V744054 = V536431 - 1. assign V426676 = V839543 + 1. assign V911145 = V775760 - 1. assign V909321 = V989128. assign V961443 = V751708 + 1. assign V395834 = V354838. assign V831819 = V380549 + 1. assign V106887 = V531490 - 1. assign V271093 = V354838 + 1. assign V991755 = V329861. assign V329861 = V448663. assign V957387 = V315104 - 1. assign V354838 = V083875 + 1. assign V033436 = V228066 + 1. assign V658874 = V329861 + 1. assign V533401 = V585212 + 1. assign V631038 = V856425 + 1. assign V556558 = V603064 + 1. assign V776118 = V083875 + 1. assign V453371 = V329861. assign V448663 = V695415. assign V194364 = V294483 + 1. assign V410383 = V171383 - 1. assign V839543 = V531490. assign V712735 = V453371 - 1. assign V083875 = V989128. assign V380549 = V648414 + 1. assign V603064 = V839543. assign V283710 = V099235. assign V284627 = V585212. assign V597735 = V324265 + 1. assign V334134 = V712735. assign V658542 = V795888 + 1. assign V585212 = V453371 + 1. assign V479795 = V565958 - 1. assign V462564 = V083875 + 1. assign V281511 = V083875 - 1. assign V648414 = V618201 + 1. assign V480862 = V410383 + 1. assign V051000 = 10. assign V810732 = V957387 + 1. assign V228066 = V453371 + 1. assign V315104 = V745444 - 1. assign V494069 = V329861 + 1. assign V536431 = V354838 + 1. assign V758254 = V147401 - 1. assign V531176 = V395834 - 1. assign V414054 = V519306 + 1. assign V775760 = V294483. assign V319256 = V329861. assign V519306 = V536431 + 1. assign V414178 = V989128. assign V767330 = V618201. assign V897772 = V414178.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V695415 = V989128 + 1. assign V017838 = V531490. assign V795888 = V354838. assign V720099 = V324265 - 1. assign V693215 = V395834 - 1. assign V831526 = V380549 - 1. assign V147401 = V712735 + 1. assign V649402 = V856425 - 1. assign V521685 = V354838. assign V171383 = V168375 - 1. assign V751708 = V676530 + 1. assign V201695 = V051000. assign V168375 = V695415 + 1. assign V676530 = V283710. assign V618201 = V695415 - 1. assign V068766 = V603064 + 1. assign V565958 = V171383. assign V998303 = V324265 - 1. assign V496580 = V676530. assign V853589 = V795888. assign V506030 = V658542 + 1. assign V531490 = V775760 - 1. assign V324265 = V017838 - 1. assign V294483 = V083875 - 1. assign V099235 = V171383 - 1. assign V856425 = V395834 + 1. assign V940796 = V603064. assign V193512 = V842091 - 1. assign V499451 = V410383 + 1. assign V832617 = V767330 - 1. assign V745444 = V603064 + 1. assign V842091 = V395834 - 1. assign V744054 = V536431 - 1. assign V426676 = V839543 + 1. assign V911145 = V775760 - 1. assign V909321 = V989128. assign V961443 = V751708 + 1. assign V395834 = V354838. assign V831819 = V380549 + 1. assign V106887 = V531490 - 1. assign V271093 = V354838 + 1. assign V991755 = V329861. assign V329861 = V448663. assign V957387 = V315104 - 1. assign V354838 = V083875 + 1. assign V033436 = V228066 + 1. assign V658874 = V329861 + 1. assign V533401 = V585212 + 1. assign V631038 = V856425 + 1. assign V556558 = V603064 + 1. assign V776118 = V083875 + 1. assign V453371 = V329861. assign V448663 = V695415. assign V194364 = V294483 + 1. assign V410383 = V171383 - 1. assign V839543 = V531490. assign V712735 = V453371 - 1. assign V083875 = V989128. assign V380549 = V648414 + 1. assign V603064 = V839543. assign V283710 = V099235. assign V284627 = V585212. assign V597735 = V324265 + 1. assign V334134 = V712735. assign V658542 = V795888 + 1. assign V585212 = V453371 + 1. assign V479795 = V565958 - 1. assign V462564 = V083875 + 1. assign V281511 = V083875 - 1. assign V648414 = V618201 + 1. assign V480862 = V410383 + 1. assign V051000 = 10. assign V810732 = V957387 + 1. assign V228066 = V453371 + 1. assign V315104 = V745444 - 1. assign V494069 = V329861 + 1. assign V536431 = V354838 + 1. assign V758254 = V147401 - 1. assign V531176 = V395834 - 1. assign V414054 = V519306 + 1. assign V775760 = V294483. assign V319256 = V329861. assign V519306 = V536431 + 1. assign V414178 = V989128. assign V767330 = V618201. assign V897772 = V414178.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV051000 = 10;\n\nFrom these direct assignment(s), we have: \nV201695 = V051000 = 10;\nNo other variables can be derived from V201695;\nNo other variables can be derived from V051000;\n\nNow we have done all the calculations. Derived variables are:\nV051000 = 10;\nV201695 = 10;\n\nNow we have finished this problem. ANSWER:\nV051000, V201695\n", "role": "assistant" } ]

[ "V559591" ]

[ { "content": "<context>\nassign V052090 = V267772. assign V412123 = V700656 + 1. assign V490079 = V379449 + 1. assign V761356 = V400080. assign V014656 = V576105. assign V575978 = V588391 - 1. assign V985659 = V267772 - 1. assign V409905 = V602649 + 1. assign V895096 = V055117 - 1. assign V255142 = V963115 + 1. assign V963115 = V308670. assign V887372 = V054605. assign V823859 = V055117. assign V957096 = V014656. assign V203091 = V296553 - 1. assign V054605 = V813139 - 1. assign V519208 = V217288. assign V055117 = V668928 + 1. assign V930130 = V252353 - 1. assign V952073 = V529662 - 1. assign V052638 = V588391. assign V723004 = V406241 + 1. assign V659406 = V971374. assign V201042 = V601806. assign V542140 = V267772. assign V453876 = V043772 + 1. assign V213545 = V987206 + 1. assign V529662 = V203091. assign V710966 = V054605. assign V559591 = 4. assign V308670 = V296553 - 1. assign V931704 = V700656 + 1. assign V252353 = V700656 - 1. assign V406387 = V402083. assign V815092 = V308670 - 1. assign V576105 = V409905 - 1. assign V894987 = V011015. assign V318764 = V972704. assign V481935 = V559591 + 1. assign V217288 = V296553 - 1. assign V043772 = V409905. assign V114573 = V203091 - 1. assign V787360 = V887372 + 1. assign V770162 = V217288 - 1. assign V119485 = V813139 + 1. assign V935843 = V409905 - 1. assign V907419 = V694416. assign V111630 = V770162 - 1. assign V011015 = V440463 - 1. assign V402083 = V813139 + 1. assign V296553 = V602649. assign V413982 = V453876 - 1. assign V700656 = V267772 - 1. assign V588391 = V815092 + 1. assign V072620 = V602649. assign V934589 = V014656. assign V829461 = V823859 - 1. assign V972704 = V092436 + 1. assign V379449 = V649932 - 1. assign V440463 = V308670 - 1. assign V473059 = V602649 + 1. assign V560007 = V126239. assign V813139 = V203091 - 1. assign V971374 = V217288 + 1. assign V092436 = V369196 - 1. assign V375692 = V473059. assign V601806 = V217288 - 1. assign V406241 = V264106 - 1. assign V672926 = V126239 - 1. assign V400080 = V092436 + 1. assign V369196 = V308670 + 1. assign V486693 = V770162 - 1. assign V769415 = V700656 + 1. assign V126239 = V909592. assign V414081 = V402083 + 1. assign V649932 = V972704 - 1. assign V001078 = V400080 + 1. assign V909592 = V473059. assign V356845 = V971374 - 1. assign V987206 = V400080. assign V347012 = V400080 + 1. assign V668928 = V043772. assign V694416 = V769415. assign V541283 = V909592 - 1. assign V264106 = V987206. assign V267772 = V072620.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V052090 = V267772. assign V412123 = V700656 + 1. assign V490079 = V379449 + 1. assign V761356 = V400080. assign V014656 = V576105. assign V575978 = V588391 - 1. assign V985659 = V267772 - 1. assign V409905 = V602649 + 1. assign V895096 = V055117 - 1. assign V255142 = V963115 + 1. assign V963115 = V308670. assign V887372 = V054605. assign V823859 = V055117. assign V957096 = V014656. assign V203091 = V296553 - 1. assign V054605 = V813139 - 1. assign V519208 = V217288. assign V055117 = V668928 + 1. assign V930130 = V252353 - 1. assign V952073 = V529662 - 1. assign V052638 = V588391. assign V723004 = V406241 + 1. assign V659406 = V971374. assign V201042 = V601806. assign V542140 = V267772. assign V453876 = V043772 + 1. assign V213545 = V987206 + 1. assign V529662 = V203091. assign V710966 = V054605. assign V559591 = 4. assign V308670 = V296553 - 1. assign V931704 = V700656 + 1. assign V252353 = V700656 - 1. assign V406387 = V402083. assign V815092 = V308670 - 1. assign V576105 = V409905 - 1. assign V894987 = V011015. assign V318764 = V972704. assign V481935 = V559591 + 1. assign V217288 = V296553 - 1. assign V043772 = V409905. assign V114573 = V203091 - 1. assign V787360 = V887372 + 1. assign V770162 = V217288 - 1. assign V119485 = V813139 + 1. assign V935843 = V409905 - 1. assign V907419 = V694416. assign V111630 = V770162 - 1. assign V011015 = V440463 - 1. assign V402083 = V813139 + 1. assign V296553 = V602649. assign V413982 = V453876 - 1. assign V700656 = V267772 - 1. assign V588391 = V815092 + 1. assign V072620 = V602649. assign V934589 = V014656. assign V829461 = V823859 - 1. assign V972704 = V092436 + 1. assign V379449 = V649932 - 1. assign V440463 = V308670 - 1. assign V473059 = V602649 + 1. assign V560007 = V126239. assign V813139 = V203091 - 1. assign V971374 = V217288 + 1. assign V092436 = V369196 - 1. assign V375692 = V473059. assign V601806 = V217288 - 1. assign V406241 = V264106 - 1. assign V672926 = V126239 - 1. assign V400080 = V092436 + 1. assign V369196 = V308670 + 1. assign V486693 = V770162 - 1. assign V769415 = V700656 + 1. assign V126239 = V909592. assign V414081 = V402083 + 1. assign V649932 = V972704 - 1. assign V001078 = V400080 + 1. assign V909592 = V473059. assign V356845 = V971374 - 1. assign V987206 = V400080. assign V347012 = V400080 + 1. assign V668928 = V043772. assign V694416 = V769415. assign V541283 = V909592 - 1. assign V264106 = V987206. assign V267772 = V072620.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV559591 = 4;\n\nFrom these direct assignment(s), we have: \nV481935 = V559591 + 1 = 4 + 1 =5;\nNo other variables can be derived from V481935;\nNo other variables can be derived from V559591;\n\nNow we have done all the calculations. Derived variables are:\nV559591 = 4;\nV481935 = 5;\n\nNow we have finished this problem. ANSWER:\nV559591\n", "role": "assistant" } ]

[ "V461646" ]

[ { "content": "<context>\nassign V606524 = V713852. assign V320406 = V451298. assign V228552 = V469775. assign V845092 = V976674 - 1. assign V733596 = V076896. assign V475658 = V713852 - 1. assign V088418 = V154626 - 1. assign V414950 = V735209. assign V475408 = V469775 - 1. assign V048081 = V864928 + 1. assign V311434 = V733596. assign V853932 = V457717 - 1. assign V401343 = V413847 - 1. assign V119302 = V076896 - 1. assign V654915 = V686608. assign V457717 = V451298 + 1. assign V054813 = 2. assign V294584 = V326938 + 1. assign V534310 = V634599 + 1. assign V871736 = V154626 + 1. assign V366635 = V495658. assign V816711 = V326938 + 1. assign V106855 = V864928 - 1. assign V116083 = V981222. assign V054744 = V320406 + 1. assign V976674 = V423781. assign V326938 = V239329. assign V883753 = V976674. assign V174606 = V154626 - 1. assign V070558 = V326938 - 1. assign V451901 = V816711. assign V415376 = V088418. assign V990614 = V692456 - 1. assign V884747 = V174606 + 1. assign V451298 = V864928 + 1. assign V909662 = V076896 - 1. assign V627906 = V469775 - 1. assign V580109 = V311434 - 1. assign V443885 = V469775 + 1. assign V240440 = V606524 - 1. assign V686608 = V909662 - 1. assign V634599 = V451298 - 1. assign V239329 = V243204. assign V168122 = V330886 - 1. assign V864928 = V154626. assign V138436 = V327151 - 1. assign V339524 = V366635 - 1. assign V711317 = V669987 + 1. assign V713852 = V088418. assign V327151 = V076896 + 1. assign V408495 = V669987. assign V948879 = V495658 - 1. assign V929949 = V469775. assign V330886 = V254599. assign V461646 = V054813 - 1. assign V154626 = V243204 + 1. assign V568077 = V469775 - 1. assign V075118 = V627906 + 1. assign V981222 = V835369 + 1. assign V919580 = V929949 + 1. assign V205087 = V154626. assign V923162 = V311434. assign V669987 = V634599 - 1. assign V413847 = V326938. assign V631592 = V088418 - 1. assign V673775 = V469775. assign V299358 = V240165 - 1. assign V254599 = V408495 - 1. assign V494295 = V495658 + 1. assign V104702 = V665961 + 1. assign V076896 = V239329. assign V704256 = V106855 - 1. assign V017782 = V713852. assign V735209 = V606524 + 1. assign V917070 = V606524 - 1. assign V423781 = V088418. assign V835369 = V423781 - 1. assign V404257 = V240165. assign V495658 = V733596 - 1. assign V665961 = V673775 - 1. assign V468440 = V871736. assign V882170 = V475658 - 1. assign V692456 = V088418 + 1. assign V240165 = V243204 + 1. assign V491910 = V366635 - 1. assign V469775 = V154626 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V606524 = V713852. assign V320406 = V451298. assign V228552 = V469775. assign V845092 = V976674 - 1. assign V733596 = V076896. assign V475658 = V713852 - 1. assign V088418 = V154626 - 1. assign V414950 = V735209. assign V475408 = V469775 - 1. assign V048081 = V864928 + 1. assign V311434 = V733596. assign V853932 = V457717 - 1. assign V401343 = V413847 - 1. assign V119302 = V076896 - 1. assign V654915 = V686608. assign V457717 = V451298 + 1. assign V054813 = 2. assign V294584 = V326938 + 1. assign V534310 = V634599 + 1. assign V871736 = V154626 + 1. assign V366635 = V495658. assign V816711 = V326938 + 1. assign V106855 = V864928 - 1. assign V116083 = V981222. assign V054744 = V320406 + 1. assign V976674 = V423781. assign V326938 = V239329. assign V883753 = V976674. assign V174606 = V154626 - 1. assign V070558 = V326938 - 1. assign V451901 = V816711. assign V415376 = V088418. assign V990614 = V692456 - 1. assign V884747 = V174606 + 1. assign V451298 = V864928 + 1. assign V909662 = V076896 - 1. assign V627906 = V469775 - 1. assign V580109 = V311434 - 1. assign V443885 = V469775 + 1. assign V240440 = V606524 - 1. assign V686608 = V909662 - 1. assign V634599 = V451298 - 1. assign V239329 = V243204. assign V168122 = V330886 - 1. assign V864928 = V154626. assign V138436 = V327151 - 1. assign V339524 = V366635 - 1. assign V711317 = V669987 + 1. assign V713852 = V088418. assign V327151 = V076896 + 1. assign V408495 = V669987. assign V948879 = V495658 - 1. assign V929949 = V469775. assign V330886 = V254599. assign V461646 = V054813 - 1. assign V154626 = V243204 + 1. assign V568077 = V469775 - 1. assign V075118 = V627906 + 1. assign V981222 = V835369 + 1. assign V919580 = V929949 + 1. assign V205087 = V154626. assign V923162 = V311434. assign V669987 = V634599 - 1. assign V413847 = V326938. assign V631592 = V088418 - 1. assign V673775 = V469775. assign V299358 = V240165 - 1. assign V254599 = V408495 - 1. assign V494295 = V495658 + 1. assign V104702 = V665961 + 1. assign V076896 = V239329. assign V704256 = V106855 - 1. assign V017782 = V713852. assign V735209 = V606524 + 1. assign V917070 = V606524 - 1. assign V423781 = V088418. assign V835369 = V423781 - 1. assign V404257 = V240165. assign V495658 = V733596 - 1. assign V665961 = V673775 - 1. assign V468440 = V871736. assign V882170 = V475658 - 1. assign V692456 = V088418 + 1. assign V240165 = V243204 + 1. assign V491910 = V366635 - 1. assign V469775 = V154626 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV054813 = 2;\n\nFrom these direct assignment(s), we have: \nV461646 = V054813 - 1 = 2 - 1 =1;\nNo other variables can be derived from V461646;\nNo other variables can be derived from V054813;\n\nNow we have done all the calculations. Derived variables are:\nV054813 = 2;\nV461646 = 1;\n\nNow we have finished this problem. ANSWER:\nV461646\n", "role": "assistant" } ]

[ "V326701", "V068498" ]

[ { "content": "<context>\nassign V896922 = V329955 + 1. assign V068707 = V466238 + 1. assign V011652 = V559560 - 1. assign V921493 = V693551 + 1. assign V022355 = V826651 + 1. assign V618792 = V049350 + 1. assign V146638 = V807567. assign V796103 = V853669. assign V820385 = V853669 - 1. assign V888501 = V603757 + 1. assign V070850 = V957830 + 1. assign V570803 = V304729 + 1. assign V222438 = V441685 - 1. assign V556948 = V642882. assign V259393 = V353618. assign V627802 = V188705 - 1. assign V329955 = V603576 - 1. assign V602128 = V642882. assign V976765 = V244748 + 1. assign V147993 = V304729 - 1. assign V847093 = V570803 - 1. assign V321440 = V957830 - 1. assign V954609 = V304729 - 1. assign V349924 = V011385. assign V957830 = V188705 + 1. assign V882009 = V923242 + 1. assign V923242 = V188705. assign V826651 = V146894 - 1. assign V693551 = V923242 + 1. assign V067016 = V188705. assign V761024 = V852610 + 1. assign V938450 = V022355 + 1. assign V244748 = V923242. assign V304729 = V267031 + 1. assign V103583 = V923242. assign V050723 = V405090 + 1. assign V853669 = V954609. assign V718352 = V693551. assign V212841 = V304729. assign V326701 = 8. assign V784984 = V685068 + 1. assign V467185 = V744305 - 1. assign V744305 = V267031 + 1. assign V465054 = V441685 - 1. assign V049350 = V954609 + 1. assign V687929 = V435203 + 1. assign V566289 = V685068 - 1. assign V904416 = V244748 - 1. assign V068498 = V326701. assign V146894 = V106134 + 1. assign V843055 = V784984 - 1. assign V603576 = V687929 + 1. assign V691247 = V106134 + 1. assign V969536 = V304729. assign V441685 = V466238 - 1. assign V106134 = V267031. assign V301349 = V304729. assign V852610 = V847093 + 1. assign V642882 = V898583 - 1. assign V819474 = V687929 + 1. assign V680584 = V603576. assign V353618 = V853669 + 1. assign V807567 = V954609 - 1. assign V077269 = V954609 - 1. assign V466238 = V267031 - 1. assign V844883 = V923242 + 1. assign V898583 = V954609. assign V603757 = V853669 - 1. assign V411143 = V807567. assign V149089 = V687929 + 1. assign V957968 = V844883 - 1. assign V435203 = V570803. assign V340037 = V820385 + 1. assign V685068 = V267031 - 1. assign V115560 = V923242 + 1. assign V405090 = V188705 + 1. assign V559560 = V957830 - 1. assign V277535 = V304729 - 1. assign V022466 = V957830. assign V850537 = V067016 - 1. assign V188705 = V267031 - 1. assign V463887 = V067016 + 1. assign V011385 = V070850 + 1. assign V489834 = V556948. assign V129314 = V744305 - 1. assign V908471 = V898583.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V896922 = V329955 + 1. assign V068707 = V466238 + 1. assign V011652 = V559560 - 1. assign V921493 = V693551 + 1. assign V022355 = V826651 + 1. assign V618792 = V049350 + 1. assign V146638 = V807567. assign V796103 = V853669. assign V820385 = V853669 - 1. assign V888501 = V603757 + 1. assign V070850 = V957830 + 1. assign V570803 = V304729 + 1. assign V222438 = V441685 - 1. assign V556948 = V642882. assign V259393 = V353618. assign V627802 = V188705 - 1. assign V329955 = V603576 - 1. assign V602128 = V642882. assign V976765 = V244748 + 1. assign V147993 = V304729 - 1. assign V847093 = V570803 - 1. assign V321440 = V957830 - 1. assign V954609 = V304729 - 1. assign V349924 = V011385. assign V957830 = V188705 + 1. assign V882009 = V923242 + 1. assign V923242 = V188705. assign V826651 = V146894 - 1. assign V693551 = V923242 + 1. assign V067016 = V188705. assign V761024 = V852610 + 1. assign V938450 = V022355 + 1. assign V244748 = V923242. assign V304729 = V267031 + 1. assign V103583 = V923242. assign V050723 = V405090 + 1. assign V853669 = V954609. assign V718352 = V693551. assign V212841 = V304729. assign V326701 = 8. assign V784984 = V685068 + 1. assign V467185 = V744305 - 1. assign V744305 = V267031 + 1. assign V465054 = V441685 - 1. assign V049350 = V954609 + 1. assign V687929 = V435203 + 1. assign V566289 = V685068 - 1. assign V904416 = V244748 - 1. assign V068498 = V326701. assign V146894 = V106134 + 1. assign V843055 = V784984 - 1. assign V603576 = V687929 + 1. assign V691247 = V106134 + 1. assign V969536 = V304729. assign V441685 = V466238 - 1. assign V106134 = V267031. assign V301349 = V304729. assign V852610 = V847093 + 1. assign V642882 = V898583 - 1. assign V819474 = V687929 + 1. assign V680584 = V603576. assign V353618 = V853669 + 1. assign V807567 = V954609 - 1. assign V077269 = V954609 - 1. assign V466238 = V267031 - 1. assign V844883 = V923242 + 1. assign V898583 = V954609. assign V603757 = V853669 - 1. assign V411143 = V807567. assign V149089 = V687929 + 1. assign V957968 = V844883 - 1. assign V435203 = V570803. assign V340037 = V820385 + 1. assign V685068 = V267031 - 1. assign V115560 = V923242 + 1. assign V405090 = V188705 + 1. assign V559560 = V957830 - 1. assign V277535 = V304729 - 1. assign V022466 = V957830. assign V850537 = V067016 - 1. assign V188705 = V267031 - 1. assign V463887 = V067016 + 1. assign V011385 = V070850 + 1. assign V489834 = V556948. assign V129314 = V744305 - 1. assign V908471 = V898583.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV326701 = 8;\n\nFrom these direct assignment(s), we have: \nV068498 = V326701 = 8;\nNo other variables can be derived from V068498;\nNo other variables can be derived from V326701;\n\nNow we have done all the calculations. Derived variables are:\nV326701 = 8;\nV068498 = 8;\n\nNow we have finished this problem. ANSWER:\nV326701, V068498\n", "role": "assistant" } ]

[ "V768093" ]

[ { "content": "<context>\nassign V224213 = V242864. assign V855172 = V969856. assign V030095 = V949252 + 1. assign V119708 = V242864 - 1. assign V716671 = V386415 - 1. assign V386415 = V913790 + 1. assign V496039 = V312761. assign V698599 = V312761. assign V319165 = V097106 + 1. assign V003699 = V195782. assign V497487 = V094954 - 1. assign V623287 = V949252 + 1. assign V525435 = V312761. assign V235383 = V626810 - 1. assign V296028 = V835114 + 1. assign V317156 = V525435. assign V913790 = V242864 + 1. assign V017373 = V356939 - 1. assign V956809 = V496039 + 1. assign V312761 = V242864. assign V538772 = V949252 + 1. assign V369953 = V094954 + 1. assign V180121 = V787607 + 1. assign V341010 = V807808. assign V420712 = V443130 + 1. assign V969856 = V698599 - 1. assign V384082 = V516651 - 1. assign V041182 = V525435 + 1. assign V913957 = V616003 + 1. assign V074217 = V538772 + 1. assign V163128 = V433412 + 1. assign V443130 = V623287. assign V483889 = V242864. assign V009659 = V224213 - 1. assign V817645 = V497487 + 1. assign V356939 = V528837 - 1. assign V537780 = V538772 - 1. assign V307793 = V841320 - 1. assign V459987 = V645484 - 1. assign V581665 = V317156 + 1. assign V807808 = V009659 + 1. assign V626927 = V497487 + 1. assign V401257 = V017373 - 1. assign V264184 = V841320 - 1. assign V580857 = V433412 - 1. assign V196789 = V645484. assign V098433 = V094954. assign V509069 = V443130 - 1. assign V006423 = V009659 + 1. assign V586289 = V509069. assign V835114 = V913957 - 1. assign V789593 = V791506. assign V978963 = V497487. assign V616003 = V645484. assign V242864 = V094954 + 1. assign V961629 = V913957 + 1. assign V998972 = V496039 + 1. assign V285923 = V443130 + 1. assign V858535 = V528837. assign V442571 = V969856. assign V787607 = V224213. assign V585842 = V841320 - 1. assign V111299 = V913790 + 1. assign V516651 = V858535. assign V528837 = V949252. assign V801042 = V626810 + 1. assign V193210 = V855172 + 1. assign V382314 = V580857 + 1. assign V953250 = V913790. assign V349326 = V312761 - 1. assign V110821 = 7. assign V841320 = V496039 + 1. assign V097106 = V119708. assign V626810 = V017373 - 1. assign V233891 = V242864 + 1. assign V544557 = V913790 - 1. assign V877108 = V913957 + 1. assign V018005 = V443130. assign V433412 = V645484 - 1. assign V324266 = V855172. assign V577864 = V807808 - 1. assign V094954 = V949252. assign V768093 = V110821 - 1. assign V791506 = V483889 - 1. assign V195782 = V949252 + 1. assign V645484 = V312761 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V224213 = V242864. assign V855172 = V969856. assign V030095 = V949252 + 1. assign V119708 = V242864 - 1. assign V716671 = V386415 - 1. assign V386415 = V913790 + 1. assign V496039 = V312761. assign V698599 = V312761. assign V319165 = V097106 + 1. assign V003699 = V195782. assign V497487 = V094954 - 1. assign V623287 = V949252 + 1. assign V525435 = V312761. assign V235383 = V626810 - 1. assign V296028 = V835114 + 1. assign V317156 = V525435. assign V913790 = V242864 + 1. assign V017373 = V356939 - 1. assign V956809 = V496039 + 1. assign V312761 = V242864. assign V538772 = V949252 + 1. assign V369953 = V094954 + 1. assign V180121 = V787607 + 1. assign V341010 = V807808. assign V420712 = V443130 + 1. assign V969856 = V698599 - 1. assign V384082 = V516651 - 1. assign V041182 = V525435 + 1. assign V913957 = V616003 + 1. assign V074217 = V538772 + 1. assign V163128 = V433412 + 1. assign V443130 = V623287. assign V483889 = V242864. assign V009659 = V224213 - 1. assign V817645 = V497487 + 1. assign V356939 = V528837 - 1. assign V537780 = V538772 - 1. assign V307793 = V841320 - 1. assign V459987 = V645484 - 1. assign V581665 = V317156 + 1. assign V807808 = V009659 + 1. assign V626927 = V497487 + 1. assign V401257 = V017373 - 1. assign V264184 = V841320 - 1. assign V580857 = V433412 - 1. assign V196789 = V645484. assign V098433 = V094954. assign V509069 = V443130 - 1. assign V006423 = V009659 + 1. assign V586289 = V509069. assign V835114 = V913957 - 1. assign V789593 = V791506. assign V978963 = V497487. assign V616003 = V645484. assign V242864 = V094954 + 1. assign V961629 = V913957 + 1. assign V998972 = V496039 + 1. assign V285923 = V443130 + 1. assign V858535 = V528837. assign V442571 = V969856. assign V787607 = V224213. assign V585842 = V841320 - 1. assign V111299 = V913790 + 1. assign V516651 = V858535. assign V528837 = V949252. assign V801042 = V626810 + 1. assign V193210 = V855172 + 1. assign V382314 = V580857 + 1. assign V953250 = V913790. assign V349326 = V312761 - 1. assign V110821 = 7. assign V841320 = V496039 + 1. assign V097106 = V119708. assign V626810 = V017373 - 1. assign V233891 = V242864 + 1. assign V544557 = V913790 - 1. assign V877108 = V913957 + 1. assign V018005 = V443130. assign V433412 = V645484 - 1. assign V324266 = V855172. assign V577864 = V807808 - 1. assign V094954 = V949252. assign V768093 = V110821 - 1. assign V791506 = V483889 - 1. assign V195782 = V949252 + 1. assign V645484 = V312761 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV110821 = 7;\n\nFrom these direct assignment(s), we have: \nV768093 = V110821 - 1 = 7 - 1 =6;\nNo other variables can be derived from V768093;\nNo other variables can be derived from V110821;\n\nNow we have done all the calculations. Derived variables are:\nV110821 = 7;\nV768093 = 6;\n\nNow we have finished this problem. ANSWER:\nV768093\n", "role": "assistant" } ]

[ "V902565" ]

[ { "content": "<context>\nassign V743844 = V841418 + 1. assign V161043 = V668327 - 1. assign V944526 = V481177 + 1. assign V294612 = V738547 - 1. assign V370406 = V991632 + 1. assign V348418 = V619476 + 1. assign V541202 = V980801 - 1. assign V959828 = V244190. assign V135643 = V435589 - 1. assign V453655 = V700928 - 1. assign V730749 = V926385 + 1. assign V375727 = V608919. assign V089317 = V926385. assign V529308 = V147664. assign V991632 = V244190 - 1. assign V286310 = V492634 + 1. assign V543450 = V499462 - 1. assign V115832 = V902565 + 1. assign V809673 = V749768 + 1. assign V435003 = V086088 + 1. assign V927046 = V866745 - 1. assign V633727 = V479949 - 1. assign V769634 = V541202. assign V368355 = V933561. assign V211514 = V315823 + 1. assign V492634 = V294612 - 1. assign V344011 = V479949 - 1. assign V205662 = V860736. assign V841418 = V980801. assign V796408 = V871306 - 1. assign V521542 = V190007. assign V495685 = V401486. assign V597378 = V086088 - 1. assign V749768 = V980801 - 1. assign V401486 = V435003. assign V304666 = V841418 + 1. assign V912995 = V608919. assign V382651 = V050640 - 1. assign V670332 = V375727 + 1. assign V165903 = V495685 + 1. assign V860736 = V375727. assign V888312 = V292449 - 1. assign V116998 = V435003 - 1. assign V668327 = V116998. assign V779426 = V435589 - 1. assign V871306 = V315823 - 1. assign V011243 = V521542. assign V496207 = V926385 - 1. assign V190007 = V608919 + 1. assign V304946 = V401486. assign V147650 = V927046. assign V680517 = V135643 - 1. assign V147664 = V107983 + 1. assign V086088 = V991632 - 1. assign V588213 = V435003. assign V312781 = V190007. assign V738547 = V086088 + 1. assign V470680 = V670332 - 1. assign V479949 = V375727 - 1. assign V292449 = V608919 + 1. assign V244190 = V980801 - 1. assign V535406 = V608919. assign V435589 = V608919. assign V107983 = V435003 - 1. assign V499462 = V535406. assign V700928 = V541202. assign V781003 = V860736. assign V398898 = V086088 + 1. assign V481177 = V670332 + 1. assign V599494 = V597378 - 1. assign V933561 = V866745. assign V866745 = V292449. assign V521336 = V670332 + 1. assign V902565 = 0. assign V315823 = V375727 - 1. assign V926385 = V991632. assign V646735 = V479949. assign V615454 = V866745 - 1. assign V619476 = V991632 + 1. assign V050640 = V608919 - 1. assign V118110 = V860736 - 1. assign V347061 = V646735 + 1. assign V701425 = V597378 + 1. assign V174154 = V435589. assign V556970 = V435003 + 1. assign V980801 = V608919.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V743844 = V841418 + 1. assign V161043 = V668327 - 1. assign V944526 = V481177 + 1. assign V294612 = V738547 - 1. assign V370406 = V991632 + 1. assign V348418 = V619476 + 1. assign V541202 = V980801 - 1. assign V959828 = V244190. assign V135643 = V435589 - 1. assign V453655 = V700928 - 1. assign V730749 = V926385 + 1. assign V375727 = V608919. assign V089317 = V926385. assign V529308 = V147664. assign V991632 = V244190 - 1. assign V286310 = V492634 + 1. assign V543450 = V499462 - 1. assign V115832 = V902565 + 1. assign V809673 = V749768 + 1. assign V435003 = V086088 + 1. assign V927046 = V866745 - 1. assign V633727 = V479949 - 1. assign V769634 = V541202. assign V368355 = V933561. assign V211514 = V315823 + 1. assign V492634 = V294612 - 1. assign V344011 = V479949 - 1. assign V205662 = V860736. assign V841418 = V980801. assign V796408 = V871306 - 1. assign V521542 = V190007. assign V495685 = V401486. assign V597378 = V086088 - 1. assign V749768 = V980801 - 1. assign V401486 = V435003. assign V304666 = V841418 + 1. assign V912995 = V608919. assign V382651 = V050640 - 1. assign V670332 = V375727 + 1. assign V165903 = V495685 + 1. assign V860736 = V375727. assign V888312 = V292449 - 1. assign V116998 = V435003 - 1. assign V668327 = V116998. assign V779426 = V435589 - 1. assign V871306 = V315823 - 1. assign V011243 = V521542. assign V496207 = V926385 - 1. assign V190007 = V608919 + 1. assign V304946 = V401486. assign V147650 = V927046. assign V680517 = V135643 - 1. assign V147664 = V107983 + 1. assign V086088 = V991632 - 1. assign V588213 = V435003. assign V312781 = V190007. assign V738547 = V086088 + 1. assign V470680 = V670332 - 1. assign V479949 = V375727 - 1. assign V292449 = V608919 + 1. assign V244190 = V980801 - 1. assign V535406 = V608919. assign V435589 = V608919. assign V107983 = V435003 - 1. assign V499462 = V535406. assign V700928 = V541202. assign V781003 = V860736. assign V398898 = V086088 + 1. assign V481177 = V670332 + 1. assign V599494 = V597378 - 1. assign V933561 = V866745. assign V866745 = V292449. assign V521336 = V670332 + 1. assign V902565 = 0. assign V315823 = V375727 - 1. assign V926385 = V991632. assign V646735 = V479949. assign V615454 = V866745 - 1. assign V619476 = V991632 + 1. assign V050640 = V608919 - 1. assign V118110 = V860736 - 1. assign V347061 = V646735 + 1. assign V701425 = V597378 + 1. assign V174154 = V435589. assign V556970 = V435003 + 1. assign V980801 = V608919.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV902565 = 0;\n\nFrom these direct assignment(s), we have: \nV115832 = V902565 + 1 = 0 + 1 =1;\nNo other variables can be derived from V115832;\nNo other variables can be derived from V902565;\n\nNow we have done all the calculations. Derived variables are:\nV902565 = 0;\nV115832 = 1;\n\nNow we have finished this problem. ANSWER:\nV902565\n", "role": "assistant" } ]

[ "V678186" ]

[ { "content": "<context>\nassign V493929 = V142679 + 1. assign V651745 = V958063. assign V376510 = V984150. assign V718223 = V142679. assign V721126 = V946680. assign V566104 = V310816 - 1. assign V893422 = V930848 - 1. assign V939407 = V142679. assign V351560 = V243275 - 1. assign V913161 = V685336 + 1. assign V299583 = V401693. assign V399244 = V142679 - 1. assign V835998 = V974547 - 1. assign V046329 = V578515. assign V678186 = V377572 - 1. assign V899223 = V392972. assign V054152 = V250957 - 1. assign V150189 = V943401. assign V392972 = V450809 - 1. assign V096300 = V636563. assign V601303 = V205449. assign V958063 = V054152 + 1. assign V319553 = V025161 + 1. assign V368496 = V353168 - 1. assign V159700 = V213686 - 1. assign V250853 = V578515. assign V616557 = V685336. assign V832081 = V310816 - 1. assign V838516 = V685336. assign V084393 = V718223 + 1. assign V401693 = V974547 - 1. assign V101100 = V233893 + 1. assign V250957 = V353168 + 1. assign V635846 = V353168 + 1. assign V022318 = V142679 - 1. assign V082435 = V374175 - 1. assign V578515 = V376510 - 1. assign V374175 = V802138. assign V228008 = V718223 + 1. assign V571249 = V943109 + 1. assign V943401 = V022318 + 1. assign V122047 = V752891 + 1. assign V134694 = V245603 + 1. assign V930848 = V319553 + 1. assign V269750 = V392972 + 1. assign V315614 = V025161 - 1. assign V984150 = V636563. assign V213686 = V652215. assign V153072 = V401693 + 1. assign V880198 = V899223 + 1. assign V054621 = V315614 + 1. assign V125959 = V142679 - 1. assign V752891 = V082435 - 1. assign V125061 = V643913 + 1. assign V353168 = V025161 + 1. assign V204696 = V930848 - 1. assign V659764 = V930848. assign V974547 = V685336 - 1. assign V142679 = V801110 - 1. assign V245603 = V153072. assign V802138 = V946680 + 1. assign V755032 = V802138 + 1. assign V346749 = V930848 - 1. assign V980444 = V946680. assign V392974 = V899223. assign V450809 = V401693 - 1. assign V243275 = V832081 - 1. assign V685336 = V025161 - 1. assign V652215 = V401693. assign V943109 = V319553 - 1. assign V215780 = V984150 + 1. assign V311087 = V250957 - 1. assign V678195 = V392972 - 1. assign V946680 = V319553 + 1. assign V636563 = V685336 - 1. assign V465791 = V376510 + 1. assign V265869 = V142679 - 1. assign V205449 = V946680 + 1. assign V643913 = V801110. assign V377572 = 9. assign V861661 = V571249. assign V865104 = V974547 - 1. assign V581824 = V315614 + 1. assign V233893 = V250957. assign V310816 = V636563 - 1. assign V801110 = V319553 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V493929 = V142679 + 1. assign V651745 = V958063. assign V376510 = V984150. assign V718223 = V142679. assign V721126 = V946680. assign V566104 = V310816 - 1. assign V893422 = V930848 - 1. assign V939407 = V142679. assign V351560 = V243275 - 1. assign V913161 = V685336 + 1. assign V299583 = V401693. assign V399244 = V142679 - 1. assign V835998 = V974547 - 1. assign V046329 = V578515. assign V678186 = V377572 - 1. assign V899223 = V392972. assign V054152 = V250957 - 1. assign V150189 = V943401. assign V392972 = V450809 - 1. assign V096300 = V636563. assign V601303 = V205449. assign V958063 = V054152 + 1. assign V319553 = V025161 + 1. assign V368496 = V353168 - 1. assign V159700 = V213686 - 1. assign V250853 = V578515. assign V616557 = V685336. assign V832081 = V310816 - 1. assign V838516 = V685336. assign V084393 = V718223 + 1. assign V401693 = V974547 - 1. assign V101100 = V233893 + 1. assign V250957 = V353168 + 1. assign V635846 = V353168 + 1. assign V022318 = V142679 - 1. assign V082435 = V374175 - 1. assign V578515 = V376510 - 1. assign V374175 = V802138. assign V228008 = V718223 + 1. assign V571249 = V943109 + 1. assign V943401 = V022318 + 1. assign V122047 = V752891 + 1. assign V134694 = V245603 + 1. assign V930848 = V319553 + 1. assign V269750 = V392972 + 1. assign V315614 = V025161 - 1. assign V984150 = V636563. assign V213686 = V652215. assign V153072 = V401693 + 1. assign V880198 = V899223 + 1. assign V054621 = V315614 + 1. assign V125959 = V142679 - 1. assign V752891 = V082435 - 1. assign V125061 = V643913 + 1. assign V353168 = V025161 + 1. assign V204696 = V930848 - 1. assign V659764 = V930848. assign V974547 = V685336 - 1. assign V142679 = V801110 - 1. assign V245603 = V153072. assign V802138 = V946680 + 1. assign V755032 = V802138 + 1. assign V346749 = V930848 - 1. assign V980444 = V946680. assign V392974 = V899223. assign V450809 = V401693 - 1. assign V243275 = V832081 - 1. assign V685336 = V025161 - 1. assign V652215 = V401693. assign V943109 = V319553 - 1. assign V215780 = V984150 + 1. assign V311087 = V250957 - 1. assign V678195 = V392972 - 1. assign V946680 = V319553 + 1. assign V636563 = V685336 - 1. assign V465791 = V376510 + 1. assign V265869 = V142679 - 1. assign V205449 = V946680 + 1. assign V643913 = V801110. assign V377572 = 9. assign V861661 = V571249. assign V865104 = V974547 - 1. assign V581824 = V315614 + 1. assign V233893 = V250957. assign V310816 = V636563 - 1. assign V801110 = V319553 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV377572 = 9;\n\nFrom these direct assignment(s), we have: \nV678186 = V377572 - 1 = 9 - 1 =8;\nNo other variables can be derived from V678186;\nNo other variables can be derived from V377572;\n\nNow we have done all the calculations. Derived variables are:\nV377572 = 9;\nV678186 = 8;\n\nNow we have finished this problem. ANSWER:\nV678186\n", "role": "assistant" } ]

[ "V756323" ]

[ { "content": "<context>\nassign V588617 = V653144 - 1. assign V723548 = V587805 - 1. assign V234507 = V461749 - 1. assign V286611 = V211035 + 1. assign V958860 = V442377 + 1. assign V222372 = V855133 + 1. assign V077166 = V086483 + 1. assign V071142 = V222372. assign V105924 = V571291 - 1. assign V193941 = V442377 - 1. assign V328059 = V903933 - 1. assign V519871 = V723548 - 1. assign V668598 = V288551. assign V004880 = V176280 + 1. assign V293531 = V571291 - 1. assign V321105 = V553918 + 1. assign V756323 = 2. assign V817884 = V302399. assign V310857 = V840403 + 1. assign V996957 = V882154 - 1. assign V970158 = V845308 + 1. assign V082814 = V963167 + 1. assign V176280 = V302399 + 1. assign V610288 = V855133. assign V153764 = V571291 - 1. assign V699177 = V782431 + 1. assign V587805 = V660255. assign V387880 = V150941 - 1. assign V528751 = V253082 + 1. assign V793441 = V587805 - 1. assign V642270 = V855133. assign V952404 = V288551 - 1. assign V641462 = V363337 - 1. assign V461749 = V660255. assign V442377 = V310857 + 1. assign V150941 = V591491. assign V551924 = V756323 - 1. assign V522043 = V723548. assign V591491 = V253082 - 1. assign V061112 = V817884. assign V571291 = V587805 - 1. assign V146810 = V840403 + 1. assign V827554 = V348050 - 1. assign V031528 = V571291 - 1. assign V841698 = V827554 - 1. assign V553918 = V903933. assign V363337 = V172598 + 1. assign V211035 = V588617 - 1. assign V496114 = V519871 + 1. assign V086483 = V150941. assign V921725 = V845308 - 1. assign V972144 = V077166 + 1. assign V963167 = V660255 + 1. assign V237878 = V571291. assign V313389 = V617138 + 1. assign V246959 = V668598 + 1. assign V076000 = V461749. assign V053821 = V076000. assign V534683 = V553918 + 1. assign V264941 = V286611 - 1. assign V855133 = V587805 - 1. assign V782431 = V855133. assign V373074 = V642270 - 1. assign V348050 = V793441. assign V754803 = V660255 - 1. assign V903933 = V610288 + 1. assign V663826 = V105924 + 1. assign V182279 = V234507. assign V610245 = V855133 + 1. assign V392354 = V587805 + 1. assign V732547 = V793441 + 1. assign V845308 = V855133 + 1. assign V172598 = V903933 - 1. assign V453491 = V882154. assign V653144 = V288551 - 1. assign V218347 = V522043 - 1. assign V288551 = V031528. assign V253082 = V222372. assign V302399 = V793441 + 1. assign V824262 = V642270 + 1. assign V538546 = V855133. assign V840403 = V660255. assign V878737 = V496114. assign V344502 = V591491 - 1. assign V617138 = V288551. assign V882154 = V610288 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V588617 = V653144 - 1. assign V723548 = V587805 - 1. assign V234507 = V461749 - 1. assign V286611 = V211035 + 1. assign V958860 = V442377 + 1. assign V222372 = V855133 + 1. assign V077166 = V086483 + 1. assign V071142 = V222372. assign V105924 = V571291 - 1. assign V193941 = V442377 - 1. assign V328059 = V903933 - 1. assign V519871 = V723548 - 1. assign V668598 = V288551. assign V004880 = V176280 + 1. assign V293531 = V571291 - 1. assign V321105 = V553918 + 1. assign V756323 = 2. assign V817884 = V302399. assign V310857 = V840403 + 1. assign V996957 = V882154 - 1. assign V970158 = V845308 + 1. assign V082814 = V963167 + 1. assign V176280 = V302399 + 1. assign V610288 = V855133. assign V153764 = V571291 - 1. assign V699177 = V782431 + 1. assign V587805 = V660255. assign V387880 = V150941 - 1. assign V528751 = V253082 + 1. assign V793441 = V587805 - 1. assign V642270 = V855133. assign V952404 = V288551 - 1. assign V641462 = V363337 - 1. assign V461749 = V660255. assign V442377 = V310857 + 1. assign V150941 = V591491. assign V551924 = V756323 - 1. assign V522043 = V723548. assign V591491 = V253082 - 1. assign V061112 = V817884. assign V571291 = V587805 - 1. assign V146810 = V840403 + 1. assign V827554 = V348050 - 1. assign V031528 = V571291 - 1. assign V841698 = V827554 - 1. assign V553918 = V903933. assign V363337 = V172598 + 1. assign V211035 = V588617 - 1. assign V496114 = V519871 + 1. assign V086483 = V150941. assign V921725 = V845308 - 1. assign V972144 = V077166 + 1. assign V963167 = V660255 + 1. assign V237878 = V571291. assign V313389 = V617138 + 1. assign V246959 = V668598 + 1. assign V076000 = V461749. assign V053821 = V076000. assign V534683 = V553918 + 1. assign V264941 = V286611 - 1. assign V855133 = V587805 - 1. assign V782431 = V855133. assign V373074 = V642270 - 1. assign V348050 = V793441. assign V754803 = V660255 - 1. assign V903933 = V610288 + 1. assign V663826 = V105924 + 1. assign V182279 = V234507. assign V610245 = V855133 + 1. assign V392354 = V587805 + 1. assign V732547 = V793441 + 1. assign V845308 = V855133 + 1. assign V172598 = V903933 - 1. assign V453491 = V882154. assign V653144 = V288551 - 1. assign V218347 = V522043 - 1. assign V288551 = V031528. assign V253082 = V222372. assign V302399 = V793441 + 1. assign V824262 = V642270 + 1. assign V538546 = V855133. assign V840403 = V660255. assign V878737 = V496114. assign V344502 = V591491 - 1. assign V617138 = V288551. assign V882154 = V610288 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV756323 = 2;\n\nFrom these direct assignment(s), we have: \nV551924 = V756323 - 1 = 2 - 1 =1;\nNo other variables can be derived from V551924;\nNo other variables can be derived from V756323;\n\nNow we have done all the calculations. Derived variables are:\nV756323 = 2;\nV551924 = 1;\n\nNow we have finished this problem. ANSWER:\nV756323\n", "role": "assistant" } ]

[ "V864393" ]

[ { "content": "<context>\nassign V504854 = V742657. assign V513296 = V071336. assign V390194 = V172983 + 1. assign V543059 = V077433. assign V155972 = V609592 + 1. assign V096392 = V223546 - 1. assign V172983 = V719641. assign V679060 = V862603. assign V184848 = V030475 - 1. assign V523216 = V804057 - 1. assign V791982 = V153446 - 1. assign V514217 = V644071 + 1. assign V726433 = V439164 + 1. assign V505909 = V131884 + 1. assign V803975 = V439164 + 1. assign V516753 = V405471 + 1. assign V422849 = V576633. assign V864393 = 6. assign V686941 = V077433 - 1. assign V071336 = V223546 - 1. assign V109384 = V535465. assign V943374 = V405471 + 1. assign V742657 = V151443 + 1. assign V798646 = V535465 + 1. assign V952563 = V153446 + 1. assign V405471 = V644071 - 1. assign V316963 = V719641. assign V600818 = V252709 + 1. assign V642914 = V963540 - 1. assign V533665 = V128304 + 1. assign V111787 = V803975 + 1. assign V501712 = V631386 + 1. assign V644071 = V151443 + 1. assign V394204 = V151443 - 1. assign V609592 = V192515. assign V865491 = V390194 + 1. assign V122884 = V072427. assign V468949 = V894526 - 1. assign V131884 = V405471 + 1. assign V576449 = V175990. assign V637356 = V298215 - 1. assign V030475 = V072427 - 1. assign V576633 = V533665 + 1. assign V826656 = V679060 + 1. assign V057705 = V894526 + 1. assign V192515 = V644071 + 1. assign V695413 = V151443 + 1. assign V719641 = V742657. assign V797285 = V405471. assign V252709 = V504854. assign V435245 = V066510 - 1. assign V631386 = V298215. assign V577424 = V695413 + 1. assign V462451 = V128304 - 1. assign V894526 = V151443 - 1. assign V175990 = V462451 + 1. assign V609458 = V468949. assign V298215 = V644071. assign V804057 = V172983. assign V472725 = V223604 + 1. assign V909248 = V151443 - 1. assign V934651 = V719641. assign V439164 = V405471 + 1. assign V151443 = V072427 + 1. assign V411205 = V192515 + 1. assign V963540 = V609592 - 1. assign V314270 = V631386 - 1. assign V892968 = V394204 + 1. assign V862603 = V172983. assign V226720 = V223604 + 1. assign V535465 = V679060 - 1. assign V223546 = V514217 + 1. assign V690835 = V637356. assign V128304 = V151443 + 1. assign V223604 = V184848 - 1. assign V430957 = V394204 - 1. assign V284826 = V223546. assign V358862 = V435245. assign V727268 = V864393 - 1. assign V077433 = V514217 + 1. assign V842613 = V894526 - 1. assign V839901 = V111787. assign V153446 = V742657 - 1. assign V251174 = V842613. assign V066510 = V131884 - 1. assign V191680 = V066510.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V504854 = V742657. assign V513296 = V071336. assign V390194 = V172983 + 1. assign V543059 = V077433. assign V155972 = V609592 + 1. assign V096392 = V223546 - 1. assign V172983 = V719641. assign V679060 = V862603. assign V184848 = V030475 - 1. assign V523216 = V804057 - 1. assign V791982 = V153446 - 1. assign V514217 = V644071 + 1. assign V726433 = V439164 + 1. assign V505909 = V131884 + 1. assign V803975 = V439164 + 1. assign V516753 = V405471 + 1. assign V422849 = V576633. assign V864393 = 6. assign V686941 = V077433 - 1. assign V071336 = V223546 - 1. assign V109384 = V535465. assign V943374 = V405471 + 1. assign V742657 = V151443 + 1. assign V798646 = V535465 + 1. assign V952563 = V153446 + 1. assign V405471 = V644071 - 1. assign V316963 = V719641. assign V600818 = V252709 + 1. assign V642914 = V963540 - 1. assign V533665 = V128304 + 1. assign V111787 = V803975 + 1. assign V501712 = V631386 + 1. assign V644071 = V151443 + 1. assign V394204 = V151443 - 1. assign V609592 = V192515. assign V865491 = V390194 + 1. assign V122884 = V072427. assign V468949 = V894526 - 1. assign V131884 = V405471 + 1. assign V576449 = V175990. assign V637356 = V298215 - 1. assign V030475 = V072427 - 1. assign V576633 = V533665 + 1. assign V826656 = V679060 + 1. assign V057705 = V894526 + 1. assign V192515 = V644071 + 1. assign V695413 = V151443 + 1. assign V719641 = V742657. assign V797285 = V405471. assign V252709 = V504854. assign V435245 = V066510 - 1. assign V631386 = V298215. assign V577424 = V695413 + 1. assign V462451 = V128304 - 1. assign V894526 = V151443 - 1. assign V175990 = V462451 + 1. assign V609458 = V468949. assign V298215 = V644071. assign V804057 = V172983. assign V472725 = V223604 + 1. assign V909248 = V151443 - 1. assign V934651 = V719641. assign V439164 = V405471 + 1. assign V151443 = V072427 + 1. assign V411205 = V192515 + 1. assign V963540 = V609592 - 1. assign V314270 = V631386 - 1. assign V892968 = V394204 + 1. assign V862603 = V172983. assign V226720 = V223604 + 1. assign V535465 = V679060 - 1. assign V223546 = V514217 + 1. assign V690835 = V637356. assign V128304 = V151443 + 1. assign V223604 = V184848 - 1. assign V430957 = V394204 - 1. assign V284826 = V223546. assign V358862 = V435245. assign V727268 = V864393 - 1. assign V077433 = V514217 + 1. assign V842613 = V894526 - 1. assign V839901 = V111787. assign V153446 = V742657 - 1. assign V251174 = V842613. assign V066510 = V131884 - 1. assign V191680 = V066510.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV864393 = 6;\n\nFrom these direct assignment(s), we have: \nV727268 = V864393 - 1 = 6 - 1 =5;\nNo other variables can be derived from V727268;\nNo other variables can be derived from V864393;\n\nNow we have done all the calculations. Derived variables are:\nV864393 = 6;\nV727268 = 5;\n\nNow we have finished this problem. ANSWER:\nV864393\n", "role": "assistant" } ]

[ "V460249" ]

[ { "content": "<context>\nassign V703889 = V568457 - 1. assign V681096 = V217147 + 1. assign V709084 = V711422. assign V362197 = V832821. assign V885300 = V730382 - 1. assign V832821 = V145848 + 1. assign V488860 = V831698. assign V496642 = V397291. assign V169735 = V805513. assign V182642 = V321775 + 1. assign V926705 = V832821 - 1. assign V599189 = V711422. assign V818864 = V313001 - 1. assign V178507 = V199210 + 1. assign V678223 = V263998 + 1. assign V872051 = V663369 - 1. assign V544541 = V211692 + 1. assign V805513 = V321775. assign V188332 = V792745 - 1. assign V145848 = V031649. assign V711422 = V832821. assign V217147 = V004580. assign V082691 = V031649. assign V605909 = V487895 + 1. assign V321775 = V031649 + 1. assign V842337 = V544541. assign V107301 = V263998 - 1. assign V006452 = V004580 + 1. assign V116307 = V397291 - 1. assign V564440 = V065429. assign V743642 = V568457. assign V031649 = V397291 - 1. assign V106185 = V805513 - 1. assign V866893 = V854903. assign V520054 = V405228 + 1. assign V990406 = V520054 - 1. assign V663369 = V818438 - 1. assign V818438 = V397291. assign V704906 = V482790 - 1. assign V876330 = V397291. assign V996913 = V730382 - 1. assign V441471 = V405228 + 1. assign V343677 = V169735 - 1. assign V122699 = V832821. assign V546357 = V832821 + 1. assign V336212 = V313001 - 1. assign V792745 = V107301 + 1. assign V898255 = V211692 - 1. assign V263998 = V217147 - 1. assign V211692 = V487895. assign V656209 = V211692 + 1. assign V510885 = V217147 + 1. assign V710306 = V544541. assign V494863 = V711422 - 1. assign V405228 = V818864 + 1. assign V487895 = V496642 + 1. assign V793654 = V948086 - 1. assign V827254 = V145848 + 1. assign V632879 = V792745. assign V732836 = V605909. assign V199210 = V546357 - 1. assign V022466 = V709084 + 1. assign V948086 = V663369. assign V134388 = V898255 + 1. assign V351019 = V656209 + 1. assign V992686 = V263998 + 1. assign V520569 = 9. assign V797027 = V313001 + 1. assign V135989 = V678223 - 1. assign V831698 = V487895 - 1. assign V460249 = V520569 + 1. assign V730382 = V487895 + 1. assign V004580 = V605909 + 1. assign V593904 = V678223 - 1. assign V400709 = V145848 - 1. assign V592351 = V006452 + 1. assign V568457 = V948086 + 1. assign V058087 = V730382 + 1. assign V030451 = V199210. assign V482790 = V990406 + 1. assign V854903 = V872051. assign V338528 = V031649 - 1. assign V071424 = V182642 + 1. assign V313001 = V496642 + 1. assign V768212 = V663369 + 1. assign V065429 = V441471 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V703889 = V568457 - 1. assign V681096 = V217147 + 1. assign V709084 = V711422. assign V362197 = V832821. assign V885300 = V730382 - 1. assign V832821 = V145848 + 1. assign V488860 = V831698. assign V496642 = V397291. assign V169735 = V805513. assign V182642 = V321775 + 1. assign V926705 = V832821 - 1. assign V599189 = V711422. assign V818864 = V313001 - 1. assign V178507 = V199210 + 1. assign V678223 = V263998 + 1. assign V872051 = V663369 - 1. assign V544541 = V211692 + 1. assign V805513 = V321775. assign V188332 = V792745 - 1. assign V145848 = V031649. assign V711422 = V832821. assign V217147 = V004580. assign V082691 = V031649. assign V605909 = V487895 + 1. assign V321775 = V031649 + 1. assign V842337 = V544541. assign V107301 = V263998 - 1. assign V006452 = V004580 + 1. assign V116307 = V397291 - 1. assign V564440 = V065429. assign V743642 = V568457. assign V031649 = V397291 - 1. assign V106185 = V805513 - 1. assign V866893 = V854903. assign V520054 = V405228 + 1. assign V990406 = V520054 - 1. assign V663369 = V818438 - 1. assign V818438 = V397291. assign V704906 = V482790 - 1. assign V876330 = V397291. assign V996913 = V730382 - 1. assign V441471 = V405228 + 1. assign V343677 = V169735 - 1. assign V122699 = V832821. assign V546357 = V832821 + 1. assign V336212 = V313001 - 1. assign V792745 = V107301 + 1. assign V898255 = V211692 - 1. assign V263998 = V217147 - 1. assign V211692 = V487895. assign V656209 = V211692 + 1. assign V510885 = V217147 + 1. assign V710306 = V544541. assign V494863 = V711422 - 1. assign V405228 = V818864 + 1. assign V487895 = V496642 + 1. assign V793654 = V948086 - 1. assign V827254 = V145848 + 1. assign V632879 = V792745. assign V732836 = V605909. assign V199210 = V546357 - 1. assign V022466 = V709084 + 1. assign V948086 = V663369. assign V134388 = V898255 + 1. assign V351019 = V656209 + 1. assign V992686 = V263998 + 1. assign V520569 = 9. assign V797027 = V313001 + 1. assign V135989 = V678223 - 1. assign V831698 = V487895 - 1. assign V460249 = V520569 + 1. assign V730382 = V487895 + 1. assign V004580 = V605909 + 1. assign V593904 = V678223 - 1. assign V400709 = V145848 - 1. assign V592351 = V006452 + 1. assign V568457 = V948086 + 1. assign V058087 = V730382 + 1. assign V030451 = V199210. assign V482790 = V990406 + 1. assign V854903 = V872051. assign V338528 = V031649 - 1. assign V071424 = V182642 + 1. assign V313001 = V496642 + 1. assign V768212 = V663369 + 1. assign V065429 = V441471 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV520569 = 9;\n\nFrom these direct assignment(s), we have: \nV460249 = V520569 + 1 = 9 + 1 =10;\nNo other variables can be derived from V460249;\nNo other variables can be derived from V520569;\n\nNow we have done all the calculations. Derived variables are:\nV520569 = 9;\nV460249 = 10;\n\nNow we have finished this problem. ANSWER:\nV460249\n", "role": "assistant" } ]

[ "V992133" ]

[ { "content": "<context>\nassign V218398 = V834066 + 1. assign V096242 = V967583 + 1. assign V415120 = V137590. assign V196704 = V525051 - 1. assign V537473 = V843311. assign V017097 = V136688. assign V763513 = V152622 - 1. assign V362361 = V301989 + 1. assign V570415 = V851120. assign V731784 = V851120 + 1. assign V999970 = V415120 + 1. assign V911425 = V362361. assign V565088 = V211421. assign V402357 = V136688 - 1. assign V625484 = V301989 + 1. assign V160812 = V136919 + 1. assign V763067 = V696677. assign V948295 = V700356. assign V183357 = V157508 - 1. assign V685464 = V834066 - 1. assign V085408 = V999970 - 1. assign V093782 = V157508 - 1. assign V000991 = V166634. assign V734330 = V398145. assign V771146 = V625484 + 1. assign V337610 = V809528 - 1. assign V072714 = V625484. assign V422746 = V152622 + 1. assign V251197 = V414281. assign V572725 = V137590 + 1. assign V676634 = V828263 + 1. assign V798436 = V625484 - 1. assign V828263 = V998760 - 1. assign V967583 = V009282 + 1. assign V317752 = V096242. assign V403871 = V967583. assign V992133 = V289313 - 1. assign V958833 = V967583. assign V843311 = V764056 + 1. assign V166634 = V967583 - 1. assign V034335 = V196704 - 1. assign V009282 = V137590 + 1. assign V510822 = V093782 + 1. assign V605357 = V301989 - 1. assign V398145 = V771146 - 1. assign V289313 = 4. assign V398073 = V798436 + 1. assign V315237 = V769076 + 1. assign V136688 = V486016 + 1. assign V998760 = V055819 - 1. assign V463698 = V851120 - 1. assign V440097 = V685464. assign V834066 = V301989. assign V414281 = V764056. assign V055819 = V166634. assign V157508 = V211421 - 1. assign V809528 = V369259. assign V814186 = V625484 - 1. assign V849085 = V398145 + 1. assign V993647 = V152622 + 1. assign V486016 = V096242 - 1. assign V604290 = V891161 - 1. assign V764056 = V814186 - 1. assign V769076 = V183357 + 1. assign V331079 = V034335 - 1. assign V754915 = V137590 + 1. assign V136919 = V763067. assign V016989 = V093782 - 1. assign V222555 = V754915 + 1. assign V696677 = V754915 - 1. assign V851120 = V754915 - 1. assign V613580 = V218398 + 1. assign V152622 = V525051 + 1. assign V525051 = V967583. assign V211421 = V403871 + 1. assign V799672 = V369259 - 1. assign V755650 = V415120 - 1. assign V820873 = V317752 - 1. assign V369259 = V625484. assign V700356 = V771146 + 1. assign V439740 = V814186. assign V927675 = V072714 - 1. assign V301989 = V696677 - 1. assign V795730 = V798436 + 1. assign V891161 = V009282 - 1. assign V303938 = V764056 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V218398 = V834066 + 1. assign V096242 = V967583 + 1. assign V415120 = V137590. assign V196704 = V525051 - 1. assign V537473 = V843311. assign V017097 = V136688. assign V763513 = V152622 - 1. assign V362361 = V301989 + 1. assign V570415 = V851120. assign V731784 = V851120 + 1. assign V999970 = V415120 + 1. assign V911425 = V362361. assign V565088 = V211421. assign V402357 = V136688 - 1. assign V625484 = V301989 + 1. assign V160812 = V136919 + 1. assign V763067 = V696677. assign V948295 = V700356. assign V183357 = V157508 - 1. assign V685464 = V834066 - 1. assign V085408 = V999970 - 1. assign V093782 = V157508 - 1. assign V000991 = V166634. assign V734330 = V398145. assign V771146 = V625484 + 1. assign V337610 = V809528 - 1. assign V072714 = V625484. assign V422746 = V152622 + 1. assign V251197 = V414281. assign V572725 = V137590 + 1. assign V676634 = V828263 + 1. assign V798436 = V625484 - 1. assign V828263 = V998760 - 1. assign V967583 = V009282 + 1. assign V317752 = V096242. assign V403871 = V967583. assign V992133 = V289313 - 1. assign V958833 = V967583. assign V843311 = V764056 + 1. assign V166634 = V967583 - 1. assign V034335 = V196704 - 1. assign V009282 = V137590 + 1. assign V510822 = V093782 + 1. assign V605357 = V301989 - 1. assign V398145 = V771146 - 1. assign V289313 = 4. assign V398073 = V798436 + 1. assign V315237 = V769076 + 1. assign V136688 = V486016 + 1. assign V998760 = V055819 - 1. assign V463698 = V851120 - 1. assign V440097 = V685464. assign V834066 = V301989. assign V414281 = V764056. assign V055819 = V166634. assign V157508 = V211421 - 1. assign V809528 = V369259. assign V814186 = V625484 - 1. assign V849085 = V398145 + 1. assign V993647 = V152622 + 1. assign V486016 = V096242 - 1. assign V604290 = V891161 - 1. assign V764056 = V814186 - 1. assign V769076 = V183357 + 1. assign V331079 = V034335 - 1. assign V754915 = V137590 + 1. assign V136919 = V763067. assign V016989 = V093782 - 1. assign V222555 = V754915 + 1. assign V696677 = V754915 - 1. assign V851120 = V754915 - 1. assign V613580 = V218398 + 1. assign V152622 = V525051 + 1. assign V525051 = V967583. assign V211421 = V403871 + 1. assign V799672 = V369259 - 1. assign V755650 = V415120 - 1. assign V820873 = V317752 - 1. assign V369259 = V625484. assign V700356 = V771146 + 1. assign V439740 = V814186. assign V927675 = V072714 - 1. assign V301989 = V696677 - 1. assign V795730 = V798436 + 1. assign V891161 = V009282 - 1. assign V303938 = V764056 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV289313 = 4;\n\nFrom these direct assignment(s), we have: \nV992133 = V289313 - 1 = 4 - 1 =3;\nNo other variables can be derived from V992133;\nNo other variables can be derived from V289313;\n\nNow we have done all the calculations. Derived variables are:\nV289313 = 4;\nV992133 = 3;\n\nNow we have finished this problem. ANSWER:\nV992133\n", "role": "assistant" } ]

[ "V010814" ]

[ { "content": "<context>\nassign V290120 = V397660 - 1. assign V939365 = V422288 + 1. assign V118375 = V476133 + 1. assign V422288 = V476133 - 1. assign V031572 = V607598. assign V659938 = V047852. assign V537562 = V058601 - 1. assign V080210 = V047852 + 1. assign V997768 = V604322 + 1. assign V697393 = V878600. assign V247378 = V080210. assign V481625 = V878600 - 1. assign V574646 = V607598 + 1. assign V776547 = V918177 + 1. assign V711293 = V885531 + 1. assign V397660 = V133206. assign V881650 = V604322 - 1. assign V058601 = V860625 + 1. assign V565816 = V058601 - 1. assign V856855 = V689127 + 1. assign V689127 = V604322 - 1. assign V483862 = V012710 - 1. assign V542156 = V012710. assign V051636 = V604143 + 1. assign V881125 = V604322 + 1. assign V980715 = V577397 + 1. assign V607598 = V099366. assign V822491 = V201463. assign V828974 = V350179. assign V189033 = V476133. assign V901559 = V939365 + 1. assign V133206 = V918177 - 1. assign V081638 = V099366 - 1. assign V350179 = V659938 - 1. assign V746250 = V422288 - 1. assign V843232 = V688884 - 1. assign V801598 = V607598 - 1. assign V052665 = V860625 + 1. assign V284770 = V688884. assign V288895 = V607598 - 1. assign V918177 = V080210. assign V604143 = V633281 - 1. assign V885531 = V476133. assign V540686 = 0. assign V861003 = V012710 + 1. assign V926757 = V079891. assign V760348 = V247378. assign V864688 = V099366. assign V008225 = V577397. assign V878600 = V476133 + 1. assign V054382 = V499686 - 1. assign V079891 = V668457. assign V613045 = V012710 + 1. assign V688884 = V476133. assign V118345 = V688884 - 1. assign V012710 = V604322 + 1. assign V807435 = V574646. assign V694970 = V374378. assign V246281 = V694970 - 1. assign V433156 = V051636 + 1. assign V354145 = V405213 - 1. assign V633281 = V476133 + 1. assign V186279 = V079891. assign V668457 = V633281 - 1. assign V306314 = V881385 - 1. assign V524700 = V058601. assign V141574 = V760348. assign V499686 = V659938 + 1. assign V270076 = V980715 + 1. assign V099366 = V604322 - 1. assign V010814 = V540686 - 1. assign V374378 = V577397. assign V201463 = V476133 - 1. assign V807331 = V350179. assign V476133 = V604322 + 1. assign V405213 = V885531 + 1. assign V811739 = V577397. assign V824391 = V374378 - 1. assign V378730 = V864688. assign V860625 = V918177 - 1. assign V881385 = V694970 + 1. assign V154910 = V079891 - 1. assign V577397 = V247378. assign V905226 = V405213 - 1. assign V261289 = V051636 - 1. assign V604322 = V659938 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V290120 = V397660 - 1. assign V939365 = V422288 + 1. assign V118375 = V476133 + 1. assign V422288 = V476133 - 1. assign V031572 = V607598. assign V659938 = V047852. assign V537562 = V058601 - 1. assign V080210 = V047852 + 1. assign V997768 = V604322 + 1. assign V697393 = V878600. assign V247378 = V080210. assign V481625 = V878600 - 1. assign V574646 = V607598 + 1. assign V776547 = V918177 + 1. assign V711293 = V885531 + 1. assign V397660 = V133206. assign V881650 = V604322 - 1. assign V058601 = V860625 + 1. assign V565816 = V058601 - 1. assign V856855 = V689127 + 1. assign V689127 = V604322 - 1. assign V483862 = V012710 - 1. assign V542156 = V012710. assign V051636 = V604143 + 1. assign V881125 = V604322 + 1. assign V980715 = V577397 + 1. assign V607598 = V099366. assign V822491 = V201463. assign V828974 = V350179. assign V189033 = V476133. assign V901559 = V939365 + 1. assign V133206 = V918177 - 1. assign V081638 = V099366 - 1. assign V350179 = V659938 - 1. assign V746250 = V422288 - 1. assign V843232 = V688884 - 1. assign V801598 = V607598 - 1. assign V052665 = V860625 + 1. assign V284770 = V688884. assign V288895 = V607598 - 1. assign V918177 = V080210. assign V604143 = V633281 - 1. assign V885531 = V476133. assign V540686 = 0. assign V861003 = V012710 + 1. assign V926757 = V079891. assign V760348 = V247378. assign V864688 = V099366. assign V008225 = V577397. assign V878600 = V476133 + 1. assign V054382 = V499686 - 1. assign V079891 = V668457. assign V613045 = V012710 + 1. assign V688884 = V476133. assign V118345 = V688884 - 1. assign V012710 = V604322 + 1. assign V807435 = V574646. assign V694970 = V374378. assign V246281 = V694970 - 1. assign V433156 = V051636 + 1. assign V354145 = V405213 - 1. assign V633281 = V476133 + 1. assign V186279 = V079891. assign V668457 = V633281 - 1. assign V306314 = V881385 - 1. assign V524700 = V058601. assign V141574 = V760348. assign V499686 = V659938 + 1. assign V270076 = V980715 + 1. assign V099366 = V604322 - 1. assign V010814 = V540686 - 1. assign V374378 = V577397. assign V201463 = V476133 - 1. assign V807331 = V350179. assign V476133 = V604322 + 1. assign V405213 = V885531 + 1. assign V811739 = V577397. assign V824391 = V374378 - 1. assign V378730 = V864688. assign V860625 = V918177 - 1. assign V881385 = V694970 + 1. assign V154910 = V079891 - 1. assign V577397 = V247378. assign V905226 = V405213 - 1. assign V261289 = V051636 - 1. assign V604322 = V659938 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV540686 = 0;\n\nFrom these direct assignment(s), we have: \nV010814 = V540686 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V010814;\nNo other variables can be derived from V540686;\n\nNow we have done all the calculations. Derived variables are:\nV540686 = 0;\nV010814 = -1;\n\nNow we have finished this problem. ANSWER:\nV010814\n", "role": "assistant" } ]

[ "V739844", "V947583" ]

[ { "content": "<context>\nassign V795815 = V570154 + 1. assign V264775 = V370284 + 1. assign V613538 = V588888 + 1. assign V363802 = V920414 - 1. assign V088234 = V515969 - 1. assign V851037 = V983653. assign V151936 = V998954 + 1. assign V029851 = V739885 + 1. assign V048496 = V416323 + 1. assign V739885 = V096590 - 1. assign V875580 = V789556. assign V330549 = V413161. assign V117764 = V681947 - 1. assign V861606 = V770260. assign V436909 = V850706. assign V920414 = V264470 - 1. assign V767938 = V998954 + 1. assign V943353 = V151936 - 1. assign V022671 = V363753. assign V043094 = V767938 - 1. assign V727979 = V883101 + 1. assign V399688 = V245701 + 1. assign V788871 = V227075 + 1. assign V850706 = V630947 + 1. assign V770260 = V370284 - 1. assign V584949 = V669347 + 1. assign V762445 = V416805 - 1. assign V883101 = V918916 - 1. assign V793305 = V368707 + 1. assign V413161 = V998954 - 1. assign V143625 = V416323 + 1. assign V336672 = V151936 + 1. assign V405867 = V399688 - 1. assign V691875 = V762445. assign V572450 = V436909 + 1. assign V144099 = V225899 + 1. assign V588888 = V096590. assign V555006 = V019995 + 1. assign V227075 = V850706 + 1. assign V789556 = V918916 + 1. assign V275811 = V767938. assign V142698 = V943353 - 1. assign V416805 = V630947 + 1. assign V669347 = V767938 - 1. assign V293675 = V022671 - 1. assign V414276 = V669347. assign V295307 = V630947 + 1. assign V522451 = V669347 + 1. assign V030091 = V221165 - 1. assign V245701 = V767938. assign V998954 = V850706. assign V045173 = V767938 - 1. assign V854914 = V048496. assign V570154 = V435739. assign V681947 = V767938 + 1. assign V416323 = V363753 - 1. assign V739844 = 7. assign V477569 = V920414 + 1. assign V411011 = V275811 + 1. assign V225899 = V739885 - 1. assign V019995 = V399688 - 1. assign V370284 = V117764 + 1. assign V054230 = V436909. assign V430893 = V019995 + 1. assign V601519 = V416805 - 1. assign V694065 = V920414 + 1. assign V435739 = V264470 + 1. assign V844738 = V515969 + 1. assign V392818 = V727979. assign V983653 = V681947 - 1. assign V182014 = V227075. assign V704829 = V435739. assign V941541 = V019995 + 1. assign V764234 = V142698 - 1. assign V989730 = V588888 - 1. assign V515969 = V022671 + 1. assign V947583 = V739844. assign V264470 = V630947. assign V368707 = V096590 - 1. assign V324126 = V435739. assign V542286 = V941541 - 1. assign V918916 = V669347 - 1. assign V096590 = V336672 - 1. assign V363753 = V850706 - 1. assign V221165 = V998954. assign V309330 = V983653 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V795815 = V570154 + 1. assign V264775 = V370284 + 1. assign V613538 = V588888 + 1. assign V363802 = V920414 - 1. assign V088234 = V515969 - 1. assign V851037 = V983653. assign V151936 = V998954 + 1. assign V029851 = V739885 + 1. assign V048496 = V416323 + 1. assign V739885 = V096590 - 1. assign V875580 = V789556. assign V330549 = V413161. assign V117764 = V681947 - 1. assign V861606 = V770260. assign V436909 = V850706. assign V920414 = V264470 - 1. assign V767938 = V998954 + 1. assign V943353 = V151936 - 1. assign V022671 = V363753. assign V043094 = V767938 - 1. assign V727979 = V883101 + 1. assign V399688 = V245701 + 1. assign V788871 = V227075 + 1. assign V850706 = V630947 + 1. assign V770260 = V370284 - 1. assign V584949 = V669347 + 1. assign V762445 = V416805 - 1. assign V883101 = V918916 - 1. assign V793305 = V368707 + 1. assign V413161 = V998954 - 1. assign V143625 = V416323 + 1. assign V336672 = V151936 + 1. assign V405867 = V399688 - 1. assign V691875 = V762445. assign V572450 = V436909 + 1. assign V144099 = V225899 + 1. assign V588888 = V096590. assign V555006 = V019995 + 1. assign V227075 = V850706 + 1. assign V789556 = V918916 + 1. assign V275811 = V767938. assign V142698 = V943353 - 1. assign V416805 = V630947 + 1. assign V669347 = V767938 - 1. assign V293675 = V022671 - 1. assign V414276 = V669347. assign V295307 = V630947 + 1. assign V522451 = V669347 + 1. assign V030091 = V221165 - 1. assign V245701 = V767938. assign V998954 = V850706. assign V045173 = V767938 - 1. assign V854914 = V048496. assign V570154 = V435739. assign V681947 = V767938 + 1. assign V416323 = V363753 - 1. assign V739844 = 7. assign V477569 = V920414 + 1. assign V411011 = V275811 + 1. assign V225899 = V739885 - 1. assign V019995 = V399688 - 1. assign V370284 = V117764 + 1. assign V054230 = V436909. assign V430893 = V019995 + 1. assign V601519 = V416805 - 1. assign V694065 = V920414 + 1. assign V435739 = V264470 + 1. assign V844738 = V515969 + 1. assign V392818 = V727979. assign V983653 = V681947 - 1. assign V182014 = V227075. assign V704829 = V435739. assign V941541 = V019995 + 1. assign V764234 = V142698 - 1. assign V989730 = V588888 - 1. assign V515969 = V022671 + 1. assign V947583 = V739844. assign V264470 = V630947. assign V368707 = V096590 - 1. assign V324126 = V435739. assign V542286 = V941541 - 1. assign V918916 = V669347 - 1. assign V096590 = V336672 - 1. assign V363753 = V850706 - 1. assign V221165 = V998954. assign V309330 = V983653 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV739844 = 7;\n\nFrom these direct assignment(s), we have: \nV947583 = V739844 = 7;\nNo other variables can be derived from V947583;\nNo other variables can be derived from V739844;\n\nNow we have done all the calculations. Derived variables are:\nV739844 = 7;\nV947583 = 7;\n\nNow we have finished this problem. ANSWER:\nV739844, V947583\n", "role": "assistant" } ]

[ "V831596" ]

[ { "content": "<context>\nassign V456654 = V562830 - 1. assign V474525 = V629880. assign V985389 = V420689 - 1. assign V625530 = V810466 + 1. assign V552206 = V319994 - 1. assign V837809 = V985838. assign V115353 = V668907. assign V020656 = V433701 - 1. assign V198618 = V723208 - 1. assign V723208 = V319994 - 1. assign V067349 = V272093 - 1. assign V271142 = V916226 + 1. assign V878036 = V215523 + 1. assign V035830 = V067349 + 1. assign V048172 = V433701 + 1. assign V119414 = V215523. assign V362770 = V115353 + 1. assign V420689 = V668576 - 1. assign V966805 = V067349. assign V432443 = V991045. assign V831596 = V116010 - 1. assign V980129 = V590737. assign V655356 = V773052 - 1. assign V319994 = V017046. assign V936325 = V571490. assign V534521 = V440622 - 1. assign V143298 = V177932. assign V668907 = V382042 - 1. assign V162883 = V668907. assign V550062 = V916226 - 1. assign V048410 = V211259. assign V590737 = V263571 + 1. assign V773052 = V906238 - 1. assign V211259 = V552206 + 1. assign V206643 = V668576. assign V185561 = V181540 - 1. assign V991045 = V571490 + 1. assign V337726 = V629880 - 1. assign V940847 = V030748 + 1. assign V549044 = V206643 - 1. assign V162528 = V382042. assign V043052 = V181540 - 1. assign V985838 = V048172. assign V272093 = V382042 + 1. assign V716874 = V272093 + 1. assign V763434 = V215523. assign V631196 = V043052. assign V916226 = V370476 + 1. assign V126090 = V985838. assign V604581 = V217828 + 1. assign V112964 = V067349. assign V797225 = V550062. assign V370476 = V382042 + 1. assign V194014 = V271142 - 1. assign V017046 = V440622 - 1. assign V783315 = V655356. assign V433701 = V382042 + 1. assign V888140 = V162528. assign V810466 = V217828 - 1. assign V729462 = V716874 - 1. assign V030748 = V562830. assign V629880 = V433701. assign V177932 = V723208. assign V562830 = V433701 - 1. assign V463512 = V590737 + 1. assign V541514 = V629880 + 1. assign V786427 = V020656. assign V369743 = V115353. assign V217828 = V370476. assign V267339 = V553448 + 1. assign V636575 = V888140 + 1. assign V668576 = V440622 - 1. assign V906238 = V553448 + 1. assign V263571 = V440622. assign V097821 = V534521. assign V215523 = V433701 + 1. assign V573817 = V668907 + 1. assign V900042 = V562830. assign V654322 = V272093 + 1. assign V571490 = V181540 + 1. assign V108202 = V763434 - 1. assign V440622 = V562830 + 1. assign V181540 = V382042 - 1. assign V979942 = V636575 - 1. assign V116010 = 1. assign V553448 = V440622.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V456654 = V562830 - 1. assign V474525 = V629880. assign V985389 = V420689 - 1. assign V625530 = V810466 + 1. assign V552206 = V319994 - 1. assign V837809 = V985838. assign V115353 = V668907. assign V020656 = V433701 - 1. assign V198618 = V723208 - 1. assign V723208 = V319994 - 1. assign V067349 = V272093 - 1. assign V271142 = V916226 + 1. assign V878036 = V215523 + 1. assign V035830 = V067349 + 1. assign V048172 = V433701 + 1. assign V119414 = V215523. assign V362770 = V115353 + 1. assign V420689 = V668576 - 1. assign V966805 = V067349. assign V432443 = V991045. assign V831596 = V116010 - 1. assign V980129 = V590737. assign V655356 = V773052 - 1. assign V319994 = V017046. assign V936325 = V571490. assign V534521 = V440622 - 1. assign V143298 = V177932. assign V668907 = V382042 - 1. assign V162883 = V668907. assign V550062 = V916226 - 1. assign V048410 = V211259. assign V590737 = V263571 + 1. assign V773052 = V906238 - 1. assign V211259 = V552206 + 1. assign V206643 = V668576. assign V185561 = V181540 - 1. assign V991045 = V571490 + 1. assign V337726 = V629880 - 1. assign V940847 = V030748 + 1. assign V549044 = V206643 - 1. assign V162528 = V382042. assign V043052 = V181540 - 1. assign V985838 = V048172. assign V272093 = V382042 + 1. assign V716874 = V272093 + 1. assign V763434 = V215523. assign V631196 = V043052. assign V916226 = V370476 + 1. assign V126090 = V985838. assign V604581 = V217828 + 1. assign V112964 = V067349. assign V797225 = V550062. assign V370476 = V382042 + 1. assign V194014 = V271142 - 1. assign V017046 = V440622 - 1. assign V783315 = V655356. assign V433701 = V382042 + 1. assign V888140 = V162528. assign V810466 = V217828 - 1. assign V729462 = V716874 - 1. assign V030748 = V562830. assign V629880 = V433701. assign V177932 = V723208. assign V562830 = V433701 - 1. assign V463512 = V590737 + 1. assign V541514 = V629880 + 1. assign V786427 = V020656. assign V369743 = V115353. assign V217828 = V370476. assign V267339 = V553448 + 1. assign V636575 = V888140 + 1. assign V668576 = V440622 - 1. assign V906238 = V553448 + 1. assign V263571 = V440622. assign V097821 = V534521. assign V215523 = V433701 + 1. assign V573817 = V668907 + 1. assign V900042 = V562830. assign V654322 = V272093 + 1. assign V571490 = V181540 + 1. assign V108202 = V763434 - 1. assign V440622 = V562830 + 1. assign V181540 = V382042 - 1. assign V979942 = V636575 - 1. assign V116010 = 1. assign V553448 = V440622.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV116010 = 1;\n\nFrom these direct assignment(s), we have: \nV831596 = V116010 - 1 = 1 - 1 =0;\nNo other variables can be derived from V831596;\nNo other variables can be derived from V116010;\n\nNow we have done all the calculations. Derived variables are:\nV116010 = 1;\nV831596 = 0;\n\nNow we have finished this problem. ANSWER:\nV831596\n", "role": "assistant" } ]

[ "V029834", "V163023" ]

[ { "content": "<context>\nassign V543412 = V161069. assign V008999 = V416682 + 1. assign V664922 = V416682 + 1. assign V675214 = V800693. assign V709433 = V680601 - 1. assign V578105 = V902186. assign V791899 = V847556 + 1. assign V970193 = V026993 + 1. assign V251651 = V864746 + 1. assign V746578 = V567231 + 1. assign V185036 = V864746. assign V902186 = V062361 - 1. assign V892047 = V664922 + 1. assign V510374 = V953162. assign V837601 = V525540 - 1. assign V916829 = V983064 + 1. assign V249849 = V791899 - 1. assign V649230 = V026993. assign V542024 = V900745 - 1. assign V965058 = V066000. assign V416682 = V309773. assign V132693 = V675214 + 1. assign V077868 = V008999 - 1. assign V429518 = V131462 - 1. assign V900745 = V332632. assign V446669 = V066000. assign V395577 = V299692. assign V562117 = V965058 + 1. assign V808871 = V413740. assign V528511 = V035516. assign V223017 = V709433. assign V953162 = V387690. assign V361293 = V765261 - 1. assign V327930 = V132693. assign V356696 = V186788. assign V436807 = V132693. assign V332632 = V212682 + 1. assign V035876 = V950807 - 1. assign V525540 = V416682 - 1. assign V842302 = V680601 + 1. assign V005194 = V800693 - 1. assign V026993 = V309773. assign V680601 = V035516 + 1. assign V062361 = V567231 - 1. assign V186788 = V416682 - 1. assign V263823 = V675214 + 1. assign V161069 = V309773. assign V830892 = V953162 - 1. assign V922217 = V953162. assign V015991 = V161069 - 1. assign V765261 = V932440. assign V296890 = V567231 - 1. assign V029834 = 4. assign V623906 = V212682. assign V983064 = V953162 + 1. assign V387690 = V776801 + 1. assign V847556 = V675214 + 1. assign V413740 = V578105. assign V066000 = V776801 - 1. assign V429436 = V161069 + 1. assign V252289 = V950807 + 1. assign V299692 = V932440 + 1. assign V131462 = V035876 - 1. assign V699571 = V008999. assign V188510 = V842302 + 1. assign V932440 = V970193. assign V800693 = V066000 - 1. assign V633821 = V296890 + 1. assign V035516 = V776801. assign V679353 = V075933 + 1. assign V567231 = V664922 - 1. assign V020596 = V132693 + 1. assign V212682 = V715128. assign V219233 = V309773. assign V231907 = V567231. assign V163023 = V029834. assign V075933 = V035876 - 1. assign V051324 = V675214 - 1. assign V781035 = V212682 + 1. assign V715128 = V950807 + 1. assign V017227 = V212682. assign V150753 = V161069 - 1. assign V427998 = V864746 - 1. assign V864746 = V528511 + 1. assign V950807 = V066000 + 1. assign V776801 = V416682 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V543412 = V161069. assign V008999 = V416682 + 1. assign V664922 = V416682 + 1. assign V675214 = V800693. assign V709433 = V680601 - 1. assign V578105 = V902186. assign V791899 = V847556 + 1. assign V970193 = V026993 + 1. assign V251651 = V864746 + 1. assign V746578 = V567231 + 1. assign V185036 = V864746. assign V902186 = V062361 - 1. assign V892047 = V664922 + 1. assign V510374 = V953162. assign V837601 = V525540 - 1. assign V916829 = V983064 + 1. assign V249849 = V791899 - 1. assign V649230 = V026993. assign V542024 = V900745 - 1. assign V965058 = V066000. assign V416682 = V309773. assign V132693 = V675214 + 1. assign V077868 = V008999 - 1. assign V429518 = V131462 - 1. assign V900745 = V332632. assign V446669 = V066000. assign V395577 = V299692. assign V562117 = V965058 + 1. assign V808871 = V413740. assign V528511 = V035516. assign V223017 = V709433. assign V953162 = V387690. assign V361293 = V765261 - 1. assign V327930 = V132693. assign V356696 = V186788. assign V436807 = V132693. assign V332632 = V212682 + 1. assign V035876 = V950807 - 1. assign V525540 = V416682 - 1. assign V842302 = V680601 + 1. assign V005194 = V800693 - 1. assign V026993 = V309773. assign V680601 = V035516 + 1. assign V062361 = V567231 - 1. assign V186788 = V416682 - 1. assign V263823 = V675214 + 1. assign V161069 = V309773. assign V830892 = V953162 - 1. assign V922217 = V953162. assign V015991 = V161069 - 1. assign V765261 = V932440. assign V296890 = V567231 - 1. assign V029834 = 4. assign V623906 = V212682. assign V983064 = V953162 + 1. assign V387690 = V776801 + 1. assign V847556 = V675214 + 1. assign V413740 = V578105. assign V066000 = V776801 - 1. assign V429436 = V161069 + 1. assign V252289 = V950807 + 1. assign V299692 = V932440 + 1. assign V131462 = V035876 - 1. assign V699571 = V008999. assign V188510 = V842302 + 1. assign V932440 = V970193. assign V800693 = V066000 - 1. assign V633821 = V296890 + 1. assign V035516 = V776801. assign V679353 = V075933 + 1. assign V567231 = V664922 - 1. assign V020596 = V132693 + 1. assign V212682 = V715128. assign V219233 = V309773. assign V231907 = V567231. assign V163023 = V029834. assign V075933 = V035876 - 1. assign V051324 = V675214 - 1. assign V781035 = V212682 + 1. assign V715128 = V950807 + 1. assign V017227 = V212682. assign V150753 = V161069 - 1. assign V427998 = V864746 - 1. assign V864746 = V528511 + 1. assign V950807 = V066000 + 1. assign V776801 = V416682 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV029834 = 4;\n\nFrom these direct assignment(s), we have: \nV163023 = V029834 = 4;\nNo other variables can be derived from V163023;\nNo other variables can be derived from V029834;\n\nNow we have done all the calculations. Derived variables are:\nV029834 = 4;\nV163023 = 4;\n\nNow we have finished this problem. ANSWER:\nV029834, V163023\n", "role": "assistant" } ]

[ "V498596" ]

[ { "content": "<context>\nassign V985390 = V636378 - 1. assign V056116 = V082130 - 1. assign V699375 = V695514. assign V450606 = V146937 - 1. assign V130610 = V876060. assign V781811 = V400255. assign V545069 = V146937 - 1. assign V192977 = V527930 + 1. assign V886295 = V545069 - 1. assign V740749 = V272512 - 1. assign V708651 = V778851. assign V282607 = V932160. assign V164764 = V636378. assign V523929 = V799759 + 1. assign V876060 = V958660 - 1. assign V039056 = V616517 - 1. assign V784418 = V523929 + 1. assign V197207 = V166032. assign V405116 = V186663 - 1. assign V682314 = V485646 - 1. assign V660362 = V985390. assign V485646 = V402525 - 1. assign V422114 = V033976 + 1. assign V636378 = V380483 + 1. assign V709619 = V932160 + 1. assign V400255 = V527930. assign V922148 = V749176 + 1. assign V749176 = V958660. assign V046393 = V636378. assign V801573 = V402525. assign V039997 = V419757 + 1. assign V419757 = V164764 + 1. assign V146253 = V866602. assign V047315 = V402525. assign V498596 = 7. assign V166032 = V749176 - 1. assign V799759 = V164764. assign V866602 = V527930 + 1. assign V793962 = V046393. assign V527930 = V778851 - 1. assign V082130 = V695514 + 1. assign V135501 = V485646 + 1. assign V389662 = V932160 + 1. assign V259510 = V856916 + 1. assign V950226 = V135501 - 1. assign V504137 = V400255 - 1. assign V033976 = V804640 - 1. assign V920026 = V545069. assign V637494 = V708651. assign V682184 = V056116 - 1. assign V031537 = V498596 + 1. assign V194991 = V326027 - 1. assign V648784 = V389662. assign V036151 = V423219 + 1. assign V265304 = V699375 + 1. assign V932160 = V380483 - 1. assign V778851 = V380483 + 1. assign V394322 = V698526. assign V804640 = V046393 - 1. assign V105358 = V046393. assign V958660 = V336793. assign V461010 = V272512 + 1. assign V698526 = V708651. assign V423219 = V950226 - 1. assign V695514 = V380483 - 1. assign V260388 = V743193. assign V856916 = V402525 - 1. assign V542947 = V784418. assign V066807 = V527930. assign V479801 = V543840. assign V437611 = V105358. assign V186663 = V146253 - 1. assign V670043 = V778851 + 1. assign V084916 = V749176. assign V815772 = V523929 - 1. assign V543840 = V932160 - 1. assign V326027 = V749176 + 1. assign V272512 = V523929. assign V336793 = V636378 - 1. assign V402525 = V695514. assign V931474 = V423219. assign V146937 = V056116. assign V020618 = V985390 - 1. assign V309804 = V056116 + 1. assign V616517 = V400255 + 1. assign V743193 = V932160.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V985390 = V636378 - 1. assign V056116 = V082130 - 1. assign V699375 = V695514. assign V450606 = V146937 - 1. assign V130610 = V876060. assign V781811 = V400255. assign V545069 = V146937 - 1. assign V192977 = V527930 + 1. assign V886295 = V545069 - 1. assign V740749 = V272512 - 1. assign V708651 = V778851. assign V282607 = V932160. assign V164764 = V636378. assign V523929 = V799759 + 1. assign V876060 = V958660 - 1. assign V039056 = V616517 - 1. assign V784418 = V523929 + 1. assign V197207 = V166032. assign V405116 = V186663 - 1. assign V682314 = V485646 - 1. assign V660362 = V985390. assign V485646 = V402525 - 1. assign V422114 = V033976 + 1. assign V636378 = V380483 + 1. assign V709619 = V932160 + 1. assign V400255 = V527930. assign V922148 = V749176 + 1. assign V749176 = V958660. assign V046393 = V636378. assign V801573 = V402525. assign V039997 = V419757 + 1. assign V419757 = V164764 + 1. assign V146253 = V866602. assign V047315 = V402525. assign V498596 = 7. assign V166032 = V749176 - 1. assign V799759 = V164764. assign V866602 = V527930 + 1. assign V793962 = V046393. assign V527930 = V778851 - 1. assign V082130 = V695514 + 1. assign V135501 = V485646 + 1. assign V389662 = V932160 + 1. assign V259510 = V856916 + 1. assign V950226 = V135501 - 1. assign V504137 = V400255 - 1. assign V033976 = V804640 - 1. assign V920026 = V545069. assign V637494 = V708651. assign V682184 = V056116 - 1. assign V031537 = V498596 + 1. assign V194991 = V326027 - 1. assign V648784 = V389662. assign V036151 = V423219 + 1. assign V265304 = V699375 + 1. assign V932160 = V380483 - 1. assign V778851 = V380483 + 1. assign V394322 = V698526. assign V804640 = V046393 - 1. assign V105358 = V046393. assign V958660 = V336793. assign V461010 = V272512 + 1. assign V698526 = V708651. assign V423219 = V950226 - 1. assign V695514 = V380483 - 1. assign V260388 = V743193. assign V856916 = V402525 - 1. assign V542947 = V784418. assign V066807 = V527930. assign V479801 = V543840. assign V437611 = V105358. assign V186663 = V146253 - 1. assign V670043 = V778851 + 1. assign V084916 = V749176. assign V815772 = V523929 - 1. assign V543840 = V932160 - 1. assign V326027 = V749176 + 1. assign V272512 = V523929. assign V336793 = V636378 - 1. assign V402525 = V695514. assign V931474 = V423219. assign V146937 = V056116. assign V020618 = V985390 - 1. assign V309804 = V056116 + 1. assign V616517 = V400255 + 1. assign V743193 = V932160.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV498596 = 7;\n\nFrom these direct assignment(s), we have: \nV031537 = V498596 + 1 = 7 + 1 =8;\nNo other variables can be derived from V031537;\nNo other variables can be derived from V498596;\n\nNow we have done all the calculations. Derived variables are:\nV498596 = 7;\nV031537 = 8;\n\nNow we have finished this problem. ANSWER:\nV498596\n", "role": "assistant" } ]

[ "V246072" ]

[ { "content": "<context>\nassign V470189 = V530111. assign V345487 = V058119. assign V672431 = V375089 + 1. assign V505856 = V441711 - 1. assign V441711 = V142498. assign V583473 = V381545. assign V059152 = V583473. assign V694291 = V915795 + 1. assign V445115 = V381545 - 1. assign V205538 = V915795 - 1. assign V146888 = V930989 + 1. assign V202853 = V141437. assign V037108 = V761699 - 1. assign V297975 = V381545 + 1. assign V919453 = V445115 - 1. assign V727438 = V141437 + 1. assign V132338 = V535771. assign V530111 = V141437. assign V582427 = V333919 - 1. assign V057919 = V752657. assign V989927 = V310706 + 1. assign V784945 = V250894 + 1. assign V375089 = V142055. assign V919117 = V299332 - 1. assign V752657 = V284161 - 1. assign V761699 = V284161 - 1. assign V504237 = V059152. assign V106691 = V544375 + 1. assign V375864 = V273020. assign V310706 = V297975 + 1. assign V564167 = V118714 - 1. assign V829483 = V804121 - 1. assign V426480 = V624052 + 1. assign V259156 = V274901 + 1. assign V141437 = V297975 - 1. assign V058119 = V118714 + 1. assign V861667 = V110253 - 1. assign V956475 = V141437 + 1. assign V668490 = V110253 + 1. assign V024453 = V397788 + 1. assign V522224 = 2. assign V628137 = V306213. assign V110253 = V381545 + 1. assign V284161 = V647660 + 1. assign V775757 = V037108. assign V412989 = V274901 + 1. assign V333919 = V273020. assign V647660 = V310706 - 1. assign V274901 = V110253 - 1. assign V334643 = V470189 + 1. assign V783152 = V297975 + 1. assign V142498 = V310706 + 1. assign V662080 = V284161 - 1. assign V118714 = V110253 + 1. assign V693103 = V672431 - 1. assign V614153 = V647660 - 1. assign V535771 = V530111 - 1. assign V799148 = V009308 + 1. assign V246072 = V522224 + 1. assign V544375 = V915313 + 1. assign V031023 = V624052 - 1. assign V975463 = V375864 - 1. assign V063218 = V956475 + 1. assign V397788 = V727438 - 1. assign V315291 = V141437 + 1. assign V637896 = V297975. assign V804121 = V132338 + 1. assign V446674 = V861667 - 1. assign V187630 = V694291. assign V930989 = V470189. assign V754270 = V370722 - 1. assign V306213 = V381545 + 1. assign V915313 = V441711 + 1. assign V528893 = V535771 - 1. assign V142055 = V132338. assign V250894 = V142498 + 1. assign V370722 = V146888. assign V563563 = V530111. assign V915795 = V299332 + 1. assign V624052 = V930989 - 1. assign V649063 = V146888 + 1. assign V004354 = V583473 - 1. assign V731262 = V672431 + 1. assign V299332 = V141437 - 1. assign V273020 = V930989. assign V009308 = V334643 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V470189 = V530111. assign V345487 = V058119. assign V672431 = V375089 + 1. assign V505856 = V441711 - 1. assign V441711 = V142498. assign V583473 = V381545. assign V059152 = V583473. assign V694291 = V915795 + 1. assign V445115 = V381545 - 1. assign V205538 = V915795 - 1. assign V146888 = V930989 + 1. assign V202853 = V141437. assign V037108 = V761699 - 1. assign V297975 = V381545 + 1. assign V919453 = V445115 - 1. assign V727438 = V141437 + 1. assign V132338 = V535771. assign V530111 = V141437. assign V582427 = V333919 - 1. assign V057919 = V752657. assign V989927 = V310706 + 1. assign V784945 = V250894 + 1. assign V375089 = V142055. assign V919117 = V299332 - 1. assign V752657 = V284161 - 1. assign V761699 = V284161 - 1. assign V504237 = V059152. assign V106691 = V544375 + 1. assign V375864 = V273020. assign V310706 = V297975 + 1. assign V564167 = V118714 - 1. assign V829483 = V804121 - 1. assign V426480 = V624052 + 1. assign V259156 = V274901 + 1. assign V141437 = V297975 - 1. assign V058119 = V118714 + 1. assign V861667 = V110253 - 1. assign V956475 = V141437 + 1. assign V668490 = V110253 + 1. assign V024453 = V397788 + 1. assign V522224 = 2. assign V628137 = V306213. assign V110253 = V381545 + 1. assign V284161 = V647660 + 1. assign V775757 = V037108. assign V412989 = V274901 + 1. assign V333919 = V273020. assign V647660 = V310706 - 1. assign V274901 = V110253 - 1. assign V334643 = V470189 + 1. assign V783152 = V297975 + 1. assign V142498 = V310706 + 1. assign V662080 = V284161 - 1. assign V118714 = V110253 + 1. assign V693103 = V672431 - 1. assign V614153 = V647660 - 1. assign V535771 = V530111 - 1. assign V799148 = V009308 + 1. assign V246072 = V522224 + 1. assign V544375 = V915313 + 1. assign V031023 = V624052 - 1. assign V975463 = V375864 - 1. assign V063218 = V956475 + 1. assign V397788 = V727438 - 1. assign V315291 = V141437 + 1. assign V637896 = V297975. assign V804121 = V132338 + 1. assign V446674 = V861667 - 1. assign V187630 = V694291. assign V930989 = V470189. assign V754270 = V370722 - 1. assign V306213 = V381545 + 1. assign V915313 = V441711 + 1. assign V528893 = V535771 - 1. assign V142055 = V132338. assign V250894 = V142498 + 1. assign V370722 = V146888. assign V563563 = V530111. assign V915795 = V299332 + 1. assign V624052 = V930989 - 1. assign V649063 = V146888 + 1. assign V004354 = V583473 - 1. assign V731262 = V672431 + 1. assign V299332 = V141437 - 1. assign V273020 = V930989. assign V009308 = V334643 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV522224 = 2;\n\nFrom these direct assignment(s), we have: \nV246072 = V522224 + 1 = 2 + 1 =3;\nNo other variables can be derived from V246072;\nNo other variables can be derived from V522224;\n\nNow we have done all the calculations. Derived variables are:\nV522224 = 2;\nV246072 = 3;\n\nNow we have finished this problem. ANSWER:\nV246072\n", "role": "assistant" } ]

[ "V096217", "V277735" ]

[ { "content": "<context>\nassign V466246 = V066062 - 1. assign V234418 = V627757. assign V157594 = V740503 - 1. assign V825384 = V358201 - 1. assign V847679 = V036942 + 1. assign V124274 = V316498 - 1. assign V489990 = V711591 - 1. assign V579963 = V740503. assign V370090 = V630841. assign V533178 = V825384. assign V500755 = V740503. assign V661381 = V705082 - 1. assign V169643 = V335619. assign V563868 = V354987 + 1. assign V745201 = V340135 - 1. assign V687515 = V883754 + 1. assign V351348 = V740503 - 1. assign V310594 = V263162 - 1. assign V349115 = V690350 - 1. assign V036942 = V630841. assign V677394 = V157594 + 1. assign V985940 = V229354 + 1. assign V167392 = V105270 - 1. assign V973092 = V169643. assign V118523 = V973092 - 1. assign V740503 = V661381 + 1. assign V661241 = V690350 - 1. assign V117054 = V349115 - 1. assign V906366 = V354517 - 1. assign V491854 = V661241 - 1. assign V994105 = V478783. assign V023170 = V303662. assign V627757 = V740503. assign V358201 = V705082. assign V194348 = V873577 - 1. assign V757973 = V066062 - 1. assign V603769 = V088376. assign V303662 = V668629 - 1. assign V216590 = V478783 - 1. assign V588747 = V066062 - 1. assign V105270 = V759691. assign V690350 = V668629 + 1. assign V096217 = 1. assign V160971 = V354987 + 1. assign V591520 = V474159. assign V354517 = V229354. assign V172132 = V351348 - 1. assign V088376 = V540933. assign V263162 = V873577 - 1. assign V193890 = V358201 - 1. assign V932169 = V668629 + 1. assign V146470 = V193890 + 1. assign V705082 = V668629 - 1. assign V305286 = V693138. assign V693138 = V745201 - 1. assign V630841 = V335619 - 1. assign V498645 = V491854 + 1. assign V668629 = V711591. assign V000078 = V229354. assign V335619 = V354987. assign V873577 = V066062. assign V996054 = V693138 + 1. assign V870686 = V668629 - 1. assign V277735 = V096217. assign V684679 = V066062 - 1. assign V540933 = V335619 + 1. assign V229354 = V358201 + 1. assign V474159 = V661381 + 1. assign V561690 = V906366 + 1. assign V734734 = V370090. assign V250548 = V711591 - 1. assign V356457 = V491854 + 1. assign V119277 = V370090. assign V279544 = V354517. assign V759691 = V661381. assign V233230 = V279544. assign V883754 = V932169. assign V316498 = V932169 - 1. assign V063331 = V157594. assign V023620 = V932169 + 1. assign V066062 = V474159 + 1. assign V478783 = V023620 - 1. assign V354987 = V932169 - 1. assign V685686 = V354517. assign V340135 = V705082 + 1. assign V411863 = V690350 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V466246 = V066062 - 1. assign V234418 = V627757. assign V157594 = V740503 - 1. assign V825384 = V358201 - 1. assign V847679 = V036942 + 1. assign V124274 = V316498 - 1. assign V489990 = V711591 - 1. assign V579963 = V740503. assign V370090 = V630841. assign V533178 = V825384. assign V500755 = V740503. assign V661381 = V705082 - 1. assign V169643 = V335619. assign V563868 = V354987 + 1. assign V745201 = V340135 - 1. assign V687515 = V883754 + 1. assign V351348 = V740503 - 1. assign V310594 = V263162 - 1. assign V349115 = V690350 - 1. assign V036942 = V630841. assign V677394 = V157594 + 1. assign V985940 = V229354 + 1. assign V167392 = V105270 - 1. assign V973092 = V169643. assign V118523 = V973092 - 1. assign V740503 = V661381 + 1. assign V661241 = V690350 - 1. assign V117054 = V349115 - 1. assign V906366 = V354517 - 1. assign V491854 = V661241 - 1. assign V994105 = V478783. assign V023170 = V303662. assign V627757 = V740503. assign V358201 = V705082. assign V194348 = V873577 - 1. assign V757973 = V066062 - 1. assign V603769 = V088376. assign V303662 = V668629 - 1. assign V216590 = V478783 - 1. assign V588747 = V066062 - 1. assign V105270 = V759691. assign V690350 = V668629 + 1. assign V096217 = 1. assign V160971 = V354987 + 1. assign V591520 = V474159. assign V354517 = V229354. assign V172132 = V351348 - 1. assign V088376 = V540933. assign V263162 = V873577 - 1. assign V193890 = V358201 - 1. assign V932169 = V668629 + 1. assign V146470 = V193890 + 1. assign V705082 = V668629 - 1. assign V305286 = V693138. assign V693138 = V745201 - 1. assign V630841 = V335619 - 1. assign V498645 = V491854 + 1. assign V668629 = V711591. assign V000078 = V229354. assign V335619 = V354987. assign V873577 = V066062. assign V996054 = V693138 + 1. assign V870686 = V668629 - 1. assign V277735 = V096217. assign V684679 = V066062 - 1. assign V540933 = V335619 + 1. assign V229354 = V358201 + 1. assign V474159 = V661381 + 1. assign V561690 = V906366 + 1. assign V734734 = V370090. assign V250548 = V711591 - 1. assign V356457 = V491854 + 1. assign V119277 = V370090. assign V279544 = V354517. assign V759691 = V661381. assign V233230 = V279544. assign V883754 = V932169. assign V316498 = V932169 - 1. assign V063331 = V157594. assign V023620 = V932169 + 1. assign V066062 = V474159 + 1. assign V478783 = V023620 - 1. assign V354987 = V932169 - 1. assign V685686 = V354517. assign V340135 = V705082 + 1. assign V411863 = V690350 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV096217 = 1;\n\nFrom these direct assignment(s), we have: \nV277735 = V096217 = 1;\nNo other variables can be derived from V277735;\nNo other variables can be derived from V096217;\n\nNow we have done all the calculations. Derived variables are:\nV096217 = 1;\nV277735 = 1;\n\nNow we have finished this problem. ANSWER:\nV096217, V277735\n", "role": "assistant" } ]

[ "V322860" ]

[ { "content": "<context>\nassign V582976 = V060251. assign V428363 = V701195 - 1. assign V873376 = V665914 - 1. assign V801394 = V815593 - 1. assign V434868 = V097949. assign V995895 = V434868 - 1. assign V216496 = V490540 + 1. assign V368335 = V367872 + 1. assign V548906 = V206269 - 1. assign V846332 = V582976 - 1. assign V725269 = V061401 - 1. assign V271929 = V515287 + 1. assign V458296 = V038807 + 1. assign V883475 = V340752. assign V150072 = V787440 - 1. assign V889911 = V209252 - 1. assign V704220 = V932185 - 1. assign V458908 = V206269. assign V740995 = V932185. assign V015708 = V340752 + 1. assign V218959 = V479073 - 1. assign V083322 = V206269 - 1. assign V564885 = V428363. assign V479073 = V199591 - 1. assign V473544 = V932185 - 1. assign V038807 = V815593. assign V199591 = V555835. assign V429575 = V923639. assign V351732 = V923639. assign V353508 = V429575. assign V916018 = V351732 + 1. assign V678605 = V199591. assign V367872 = V703859. assign V240406 = V704220 - 1. assign V787440 = V966840. assign V914192 = V351732 + 1. assign V948850 = V873376. assign V841612 = V815593 - 1. assign V922028 = V815593 + 1. assign V103505 = V582976. assign V966840 = V815593 - 1. assign V097949 = V701195 - 1. assign V189612 = V815593 - 1. assign V750423 = V582976. assign V504110 = V367872. assign V633978 = V815593 + 1. assign V340752 = V801394 + 1. assign V490540 = V279041 + 1. assign V153175 = V351732. assign V665914 = V701195 - 1. assign V281552 = V883475. assign V206724 = V633978. assign V614681 = V061401. assign V555835 = V932185 - 1. assign V837655 = V841612. assign V515287 = V815593. assign V604142 = V818165 + 1. assign V018297 = V038807 - 1. assign V214544 = V564885. assign V279041 = V370040 + 1. assign V787263 = V932185 - 1. assign V039268 = V555835. assign V833696 = V815593 + 1. assign V818165 = V914192 - 1. assign V253308 = V322860 - 1. assign V035790 = V374417. assign V322860 = 10. assign V474339 = V678605 + 1. assign V061401 = V038807 + 1. assign V398426 = V873376. assign V920464 = V970731 + 1. assign V206269 = V474339 - 1. assign V701195 = V703859. assign V970731 = V490540 - 1. assign V976256 = V218959 + 1. assign V815593 = V932185. assign V209252 = V701195 - 1. assign V363266 = V218959. assign V074676 = V271929 + 1. assign V374417 = V363266 + 1. assign V923639 = V922028. assign V210469 = V703859 + 1. assign V703859 = V932185. assign V060251 = V922028. assign V370040 = V932185 - 1. assign V366746 = V633978 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V582976 = V060251. assign V428363 = V701195 - 1. assign V873376 = V665914 - 1. assign V801394 = V815593 - 1. assign V434868 = V097949. assign V995895 = V434868 - 1. assign V216496 = V490540 + 1. assign V368335 = V367872 + 1. assign V548906 = V206269 - 1. assign V846332 = V582976 - 1. assign V725269 = V061401 - 1. assign V271929 = V515287 + 1. assign V458296 = V038807 + 1. assign V883475 = V340752. assign V150072 = V787440 - 1. assign V889911 = V209252 - 1. assign V704220 = V932185 - 1. assign V458908 = V206269. assign V740995 = V932185. assign V015708 = V340752 + 1. assign V218959 = V479073 - 1. assign V083322 = V206269 - 1. assign V564885 = V428363. assign V479073 = V199591 - 1. assign V473544 = V932185 - 1. assign V038807 = V815593. assign V199591 = V555835. assign V429575 = V923639. assign V351732 = V923639. assign V353508 = V429575. assign V916018 = V351732 + 1. assign V678605 = V199591. assign V367872 = V703859. assign V240406 = V704220 - 1. assign V787440 = V966840. assign V914192 = V351732 + 1. assign V948850 = V873376. assign V841612 = V815593 - 1. assign V922028 = V815593 + 1. assign V103505 = V582976. assign V966840 = V815593 - 1. assign V097949 = V701195 - 1. assign V189612 = V815593 - 1. assign V750423 = V582976. assign V504110 = V367872. assign V633978 = V815593 + 1. assign V340752 = V801394 + 1. assign V490540 = V279041 + 1. assign V153175 = V351732. assign V665914 = V701195 - 1. assign V281552 = V883475. assign V206724 = V633978. assign V614681 = V061401. assign V555835 = V932185 - 1. assign V837655 = V841612. assign V515287 = V815593. assign V604142 = V818165 + 1. assign V018297 = V038807 - 1. assign V214544 = V564885. assign V279041 = V370040 + 1. assign V787263 = V932185 - 1. assign V039268 = V555835. assign V833696 = V815593 + 1. assign V818165 = V914192 - 1. assign V253308 = V322860 - 1. assign V035790 = V374417. assign V322860 = 10. assign V474339 = V678605 + 1. assign V061401 = V038807 + 1. assign V398426 = V873376. assign V920464 = V970731 + 1. assign V206269 = V474339 - 1. assign V701195 = V703859. assign V970731 = V490540 - 1. assign V976256 = V218959 + 1. assign V815593 = V932185. assign V209252 = V701195 - 1. assign V363266 = V218959. assign V074676 = V271929 + 1. assign V374417 = V363266 + 1. assign V923639 = V922028. assign V210469 = V703859 + 1. assign V703859 = V932185. assign V060251 = V922028. assign V370040 = V932185 - 1. assign V366746 = V633978 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV322860 = 10;\n\nFrom these direct assignment(s), we have: \nV253308 = V322860 - 1 = 10 - 1 =9;\nNo other variables can be derived from V253308;\nNo other variables can be derived from V322860;\n\nNow we have done all the calculations. Derived variables are:\nV322860 = 10;\nV253308 = 9;\n\nNow we have finished this problem. ANSWER:\nV322860\n", "role": "assistant" } ]

[ "V821838", "V824695" ]

[ { "content": "<context>\nassign V402706 = V877283. assign V464870 = V647229. assign V427315 = V965678 - 1. assign V123814 = V965678 + 1. assign V868747 = V153938. assign V643592 = V531468 - 1. assign V977139 = V531468 + 1. assign V176528 = V193248 + 1. assign V531468 = V742400 + 1. assign V611981 = V917379. assign V692660 = V965678 - 1. assign V146040 = V162059. assign V162059 = V193248 - 1. assign V082528 = V193248 - 1. assign V499391 = V975163. assign V055555 = V164712. assign V509379 = V902254 + 1. assign V548625 = V647229 - 1. assign V975163 = V902254. assign V095957 = V843809 + 1. assign V717835 = V179454. assign V263245 = V965678 - 1. assign V274977 = V326219 + 1. assign V760760 = V153938 + 1. assign V147899 = V604673 - 1. assign V361768 = V153938. assign V613846 = V902254 + 1. assign V835524 = V902254. assign V485810 = V996649 + 1. assign V917379 = V868747 - 1. assign V232159 = V193248 - 1. assign V902254 = V193248 - 1. assign V249848 = V147899 - 1. assign V605534 = V509379. assign V843809 = V147899 + 1. assign V231411 = V193248 + 1. assign V933860 = V162059. assign V605680 = V176528 + 1. assign V947634 = V647229. assign V304820 = V604673. assign V719292 = V032066 - 1. assign V962627 = V091301 + 1. assign V193248 = V962627 + 1. assign V679392 = V509379. assign V414020 = V884542. assign V821838 = 2. assign V151594 = V263245 - 1. assign V357610 = V326219 + 1. assign V877283 = V548625 - 1. assign V824695 = V821838. assign V604673 = V531371. assign V561700 = V485810. assign V742400 = V091301 + 1. assign V639362 = V548625 - 1. assign V032066 = V509379 - 1. assign V143022 = V263245 - 1. assign V860042 = V613846. assign V602961 = V531371 - 1. assign V022890 = V402706. assign V531371 = V091301 - 1. assign V350500 = V414020. assign V898279 = V231411 + 1. assign V342160 = V193248 - 1. assign V965678 = V485810 - 1. assign V630827 = V232159. assign V446307 = V996649 + 1. assign V153938 = V091301 + 1. assign V748182 = V719292 + 1. assign V020553 = V263245. assign V179454 = V630827 - 1. assign V164712 = V604673 + 1. assign V769272 = V357610 - 1. assign V444020 = V193248 - 1. assign V996649 = V193248 - 1. assign V884542 = V742400 + 1. assign V713181 = V162059 + 1. assign V326219 = V902254. assign V306459 = V868747 + 1. assign V823481 = V095957. assign V552302 = V692660. assign V624043 = V143022. assign V893805 = V647229 - 1. assign V553650 = V153938 - 1. assign V309663 = V162059 + 1. assign V479389 = V309663. assign V647229 = V091301 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V402706 = V877283. assign V464870 = V647229. assign V427315 = V965678 - 1. assign V123814 = V965678 + 1. assign V868747 = V153938. assign V643592 = V531468 - 1. assign V977139 = V531468 + 1. assign V176528 = V193248 + 1. assign V531468 = V742400 + 1. assign V611981 = V917379. assign V692660 = V965678 - 1. assign V146040 = V162059. assign V162059 = V193248 - 1. assign V082528 = V193248 - 1. assign V499391 = V975163. assign V055555 = V164712. assign V509379 = V902254 + 1. assign V548625 = V647229 - 1. assign V975163 = V902254. assign V095957 = V843809 + 1. assign V717835 = V179454. assign V263245 = V965678 - 1. assign V274977 = V326219 + 1. assign V760760 = V153938 + 1. assign V147899 = V604673 - 1. assign V361768 = V153938. assign V613846 = V902254 + 1. assign V835524 = V902254. assign V485810 = V996649 + 1. assign V917379 = V868747 - 1. assign V232159 = V193248 - 1. assign V902254 = V193248 - 1. assign V249848 = V147899 - 1. assign V605534 = V509379. assign V843809 = V147899 + 1. assign V231411 = V193248 + 1. assign V933860 = V162059. assign V605680 = V176528 + 1. assign V947634 = V647229. assign V304820 = V604673. assign V719292 = V032066 - 1. assign V962627 = V091301 + 1. assign V193248 = V962627 + 1. assign V679392 = V509379. assign V414020 = V884542. assign V821838 = 2. assign V151594 = V263245 - 1. assign V357610 = V326219 + 1. assign V877283 = V548625 - 1. assign V824695 = V821838. assign V604673 = V531371. assign V561700 = V485810. assign V742400 = V091301 + 1. assign V639362 = V548625 - 1. assign V032066 = V509379 - 1. assign V143022 = V263245 - 1. assign V860042 = V613846. assign V602961 = V531371 - 1. assign V022890 = V402706. assign V531371 = V091301 - 1. assign V350500 = V414020. assign V898279 = V231411 + 1. assign V342160 = V193248 - 1. assign V965678 = V485810 - 1. assign V630827 = V232159. assign V446307 = V996649 + 1. assign V153938 = V091301 + 1. assign V748182 = V719292 + 1. assign V020553 = V263245. assign V179454 = V630827 - 1. assign V164712 = V604673 + 1. assign V769272 = V357610 - 1. assign V444020 = V193248 - 1. assign V996649 = V193248 - 1. assign V884542 = V742400 + 1. assign V713181 = V162059 + 1. assign V326219 = V902254. assign V306459 = V868747 + 1. assign V823481 = V095957. assign V552302 = V692660. assign V624043 = V143022. assign V893805 = V647229 - 1. assign V553650 = V153938 - 1. assign V309663 = V162059 + 1. assign V479389 = V309663. assign V647229 = V091301 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV821838 = 2;\n\nFrom these direct assignment(s), we have: \nV824695 = V821838 = 2;\nNo other variables can be derived from V824695;\nNo other variables can be derived from V821838;\n\nNow we have done all the calculations. Derived variables are:\nV821838 = 2;\nV824695 = 2;\n\nNow we have finished this problem. ANSWER:\nV821838, V824695\n", "role": "assistant" } ]

[ "V600878" ]

[ { "content": "<context>\nassign V659492 = V918635 + 1. assign V840198 = V545283 + 1. assign V736530 = V659095 - 1. assign V060042 = V010078 - 1. assign V786456 = V616891 + 1. assign V040413 = V304727. assign V616891 = V364292. assign V930812 = V609459. assign V364292 = V918635 + 1. assign V099344 = V792301 + 1. assign V402490 = V609459. assign V391013 = V726740. assign V638735 = V343832 + 1. assign V240196 = V246839 + 1. assign V463368 = V953213. assign V079820 = V186528 - 1. assign V246839 = V918635 - 1. assign V601292 = V316060 - 1. assign V658678 = V079820 - 1. assign V689081 = V918635. assign V349416 = V792301 + 1. assign V010320 = V454105. assign V192518 = V900402 + 1. assign V898867 = V038309. assign V936107 = V246839 - 1. assign V019896 = V930812. assign V946107 = V040413 + 1. assign V739084 = V938845 - 1. assign V494539 = V786456 + 1. assign V173241 = V918635 + 1. assign V860238 = V079820 + 1. assign V870748 = V246839. assign V018460 = V010078. assign V591311 = V079820 - 1. assign V925338 = V900402 - 1. assign V435988 = V201522. assign V975724 = V900402 - 1. assign V889271 = V038309. assign V265862 = V900402 - 1. assign V900402 = V918635 - 1. assign V780159 = V731494. assign V659095 = V079820. assign V872092 = V010078 - 1. assign V203620 = V659492. assign V286168 = V010078. assign V186528 = V689081 + 1. assign V010078 = V786456 + 1. assign V731494 = V591311 + 1. assign V252240 = V689081. assign V953213 = V192518. assign V726740 = V364292 - 1. assign V012839 = V084146. assign V600878 = 3. assign V038309 = V689081 + 1. assign V236702 = V600878 + 1. assign V709526 = V304727 - 1. assign V440693 = V248497 + 1. assign V343832 = V557171 + 1. assign V403451 = V717131 - 1. assign V717131 = V780159. assign V248497 = V055361 - 1. assign V545283 = V084146 + 1. assign V201522 = V055361 + 1. assign V454105 = V038309 + 1. assign V217658 = V010078. assign V873842 = V786456. assign V055631 = V019896 - 1. assign V240015 = V252240 - 1. assign V938845 = V659095. assign V774070 = V601292. assign V609459 = V012839 + 1. assign V444514 = V391013 - 1. assign V980501 = V557171. assign V814157 = V557171 + 1. assign V677201 = V010078 + 1. assign V084146 = V316060. assign V792301 = V364292 + 1. assign V924707 = V402490. assign V019469 = V889271. assign V316060 = V616891 + 1. assign V304727 = V316060. assign V557171 = V918635 + 1. assign V769228 = V040413. assign V055361 = V726740. assign V114350 = V557171. assign V114872 = V736530 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V659492 = V918635 + 1. assign V840198 = V545283 + 1. assign V736530 = V659095 - 1. assign V060042 = V010078 - 1. assign V786456 = V616891 + 1. assign V040413 = V304727. assign V616891 = V364292. assign V930812 = V609459. assign V364292 = V918635 + 1. assign V099344 = V792301 + 1. assign V402490 = V609459. assign V391013 = V726740. assign V638735 = V343832 + 1. assign V240196 = V246839 + 1. assign V463368 = V953213. assign V079820 = V186528 - 1. assign V246839 = V918635 - 1. assign V601292 = V316060 - 1. assign V658678 = V079820 - 1. assign V689081 = V918635. assign V349416 = V792301 + 1. assign V010320 = V454105. assign V192518 = V900402 + 1. assign V898867 = V038309. assign V936107 = V246839 - 1. assign V019896 = V930812. assign V946107 = V040413 + 1. assign V739084 = V938845 - 1. assign V494539 = V786456 + 1. assign V173241 = V918635 + 1. assign V860238 = V079820 + 1. assign V870748 = V246839. assign V018460 = V010078. assign V591311 = V079820 - 1. assign V925338 = V900402 - 1. assign V435988 = V201522. assign V975724 = V900402 - 1. assign V889271 = V038309. assign V265862 = V900402 - 1. assign V900402 = V918635 - 1. assign V780159 = V731494. assign V659095 = V079820. assign V872092 = V010078 - 1. assign V203620 = V659492. assign V286168 = V010078. assign V186528 = V689081 + 1. assign V010078 = V786456 + 1. assign V731494 = V591311 + 1. assign V252240 = V689081. assign V953213 = V192518. assign V726740 = V364292 - 1. assign V012839 = V084146. assign V600878 = 3. assign V038309 = V689081 + 1. assign V236702 = V600878 + 1. assign V709526 = V304727 - 1. assign V440693 = V248497 + 1. assign V343832 = V557171 + 1. assign V403451 = V717131 - 1. assign V717131 = V780159. assign V248497 = V055361 - 1. assign V545283 = V084146 + 1. assign V201522 = V055361 + 1. assign V454105 = V038309 + 1. assign V217658 = V010078. assign V873842 = V786456. assign V055631 = V019896 - 1. assign V240015 = V252240 - 1. assign V938845 = V659095. assign V774070 = V601292. assign V609459 = V012839 + 1. assign V444514 = V391013 - 1. assign V980501 = V557171. assign V814157 = V557171 + 1. assign V677201 = V010078 + 1. assign V084146 = V316060. assign V792301 = V364292 + 1. assign V924707 = V402490. assign V019469 = V889271. assign V316060 = V616891 + 1. assign V304727 = V316060. assign V557171 = V918635 + 1. assign V769228 = V040413. assign V055361 = V726740. assign V114350 = V557171. assign V114872 = V736530 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV600878 = 3;\n\nFrom these direct assignment(s), we have: \nV236702 = V600878 + 1 = 3 + 1 =4;\nNo other variables can be derived from V236702;\nNo other variables can be derived from V600878;\n\nNow we have done all the calculations. Derived variables are:\nV600878 = 3;\nV236702 = 4;\n\nNow we have finished this problem. ANSWER:\nV600878\n", "role": "assistant" } ]

[ "V853606" ]

[ { "content": "<context>\nassign V641553 = V075853 + 1. assign V210399 = V134224. assign V066232 = V359902 - 1. assign V644879 = V419173 - 1. assign V085158 = V586807 + 1. assign V149577 = V242268. assign V697285 = V699966 - 1. assign V432025 = V956467. assign V620082 = V920082 + 1. assign V084242 = V865678 - 1. assign V531835 = V650950 - 1. assign V564557 = V702495. assign V963607 = V015231 + 1. assign V880067 = V518465. assign V811934 = V564557 + 1. assign V858667 = V483782 + 1. assign V610175 = V740942 - 1. assign V845918 = V066232 - 1. assign V353576 = V242268 + 1. assign V318328 = V920082 - 1. assign V544262 = V210399. assign V134224 = V811934 + 1. assign V797230 = V294247. assign V928657 = V564557 - 1. assign V044847 = V359902. assign V920082 = V564557 + 1. assign V223801 = V149577 + 1. assign V143952 = V318328. assign V271267 = V134224 - 1. assign V951591 = V811934. assign V646547 = V797230 + 1. assign V586807 = V564557 - 1. assign V865678 = V650950 + 1. assign V956467 = V954373. assign V954373 = V921872 - 1. assign V625565 = V564557 - 1. assign V294247 = V921872. assign V000839 = V992730. assign V746578 = V703882 - 1. assign V313806 = V849441 + 1. assign V297156 = V242268 + 1. assign V652181 = V564557 + 1. assign V703882 = V015231. assign V769517 = V531835 + 1. assign V129404 = V703882 + 1. assign V315599 = V542715 - 1. assign V079395 = V294247 + 1. assign V918051 = V703882 - 1. assign V849441 = V702495 + 1. assign V483782 = V441896. assign V921872 = V702495 - 1. assign V015231 = V702495 - 1. assign V853606 = 1. assign V585745 = V249007. assign V702495 = V189607. assign V634446 = V044847 + 1. assign V740942 = V956467 + 1. assign V699966 = V483782. assign V290106 = V956467. assign V069447 = V149577 - 1. assign V741614 = V271267 - 1. assign V992730 = V921872 - 1. assign V643377 = V853606 + 1. assign V452869 = V134224 + 1. assign V272578 = V518465 - 1. assign V650950 = V189607. assign V542717 = V703882 + 1. assign V076292 = V542717 - 1. assign V242268 = V703882 + 1. assign V542715 = V518465. assign V518465 = V951591 - 1. assign V249007 = V921872 - 1. assign V327958 = V699966. assign V564896 = V918051 - 1. assign V654183 = V951591. assign V419173 = V702495 + 1. assign V618714 = V129404. assign V266048 = V210399 - 1. assign V222892 = V271267. assign V359902 = V271267. assign V328073 = V271267 - 1. assign V482305 = V928657. assign V441896 = V564557 + 1. assign V128071 = V865678 + 1. assign V383507 = V149577. assign V075853 = V518465.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V641553 = V075853 + 1. assign V210399 = V134224. assign V066232 = V359902 - 1. assign V644879 = V419173 - 1. assign V085158 = V586807 + 1. assign V149577 = V242268. assign V697285 = V699966 - 1. assign V432025 = V956467. assign V620082 = V920082 + 1. assign V084242 = V865678 - 1. assign V531835 = V650950 - 1. assign V564557 = V702495. assign V963607 = V015231 + 1. assign V880067 = V518465. assign V811934 = V564557 + 1. assign V858667 = V483782 + 1. assign V610175 = V740942 - 1. assign V845918 = V066232 - 1. assign V353576 = V242268 + 1. assign V318328 = V920082 - 1. assign V544262 = V210399. assign V134224 = V811934 + 1. assign V797230 = V294247. assign V928657 = V564557 - 1. assign V044847 = V359902. assign V920082 = V564557 + 1. assign V223801 = V149577 + 1. assign V143952 = V318328. assign V271267 = V134224 - 1. assign V951591 = V811934. assign V646547 = V797230 + 1. assign V586807 = V564557 - 1. assign V865678 = V650950 + 1. assign V956467 = V954373. assign V954373 = V921872 - 1. assign V625565 = V564557 - 1. assign V294247 = V921872. assign V000839 = V992730. assign V746578 = V703882 - 1. assign V313806 = V849441 + 1. assign V297156 = V242268 + 1. assign V652181 = V564557 + 1. assign V703882 = V015231. assign V769517 = V531835 + 1. assign V129404 = V703882 + 1. assign V315599 = V542715 - 1. assign V079395 = V294247 + 1. assign V918051 = V703882 - 1. assign V849441 = V702495 + 1. assign V483782 = V441896. assign V921872 = V702495 - 1. assign V015231 = V702495 - 1. assign V853606 = 1. assign V585745 = V249007. assign V702495 = V189607. assign V634446 = V044847 + 1. assign V740942 = V956467 + 1. assign V699966 = V483782. assign V290106 = V956467. assign V069447 = V149577 - 1. assign V741614 = V271267 - 1. assign V992730 = V921872 - 1. assign V643377 = V853606 + 1. assign V452869 = V134224 + 1. assign V272578 = V518465 - 1. assign V650950 = V189607. assign V542717 = V703882 + 1. assign V076292 = V542717 - 1. assign V242268 = V703882 + 1. assign V542715 = V518465. assign V518465 = V951591 - 1. assign V249007 = V921872 - 1. assign V327958 = V699966. assign V564896 = V918051 - 1. assign V654183 = V951591. assign V419173 = V702495 + 1. assign V618714 = V129404. assign V266048 = V210399 - 1. assign V222892 = V271267. assign V359902 = V271267. assign V328073 = V271267 - 1. assign V482305 = V928657. assign V441896 = V564557 + 1. assign V128071 = V865678 + 1. assign V383507 = V149577. assign V075853 = V518465.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV853606 = 1;\n\nFrom these direct assignment(s), we have: \nV643377 = V853606 + 1 = 1 + 1 =2;\nNo other variables can be derived from V643377;\nNo other variables can be derived from V853606;\n\nNow we have done all the calculations. Derived variables are:\nV853606 = 1;\nV643377 = 2;\n\nNow we have finished this problem. ANSWER:\nV853606\n", "role": "assistant" } ]

[ "V605091" ]

[ { "content": "<context>\nassign V598728 = V240395. assign V136886 = V261083 + 1. assign V450948 = V575172. assign V283269 = V302006 - 1. assign V268076 = V800274 - 1. assign V244647 = V700621 - 1. assign V918896 = V450948 - 1. assign V302006 = V431372 - 1. assign V255433 = V989537 - 1. assign V803598 = V778238 - 1. assign V221468 = V700621. assign V172496 = V811874 + 1. assign V147193 = V318337 + 1. assign V436473 = V575172 + 1. assign V241198 = V883225. assign V419709 = V608752 + 1. assign V569979 = V050856 + 1. assign V797814 = V221468. assign V528247 = V244647. assign V023518 = 5. assign V496710 = V256546 + 1. assign V261083 = V431372. assign V243918 = V787061 - 1. assign V318337 = V546372 + 1. assign V469203 = V700621 + 1. assign V883225 = V575172 - 1. assign V550720 = V279416. assign V800274 = V978888 + 1. assign V787061 = V087329. assign V829971 = V778238 + 1. assign V023710 = V528247. assign V084794 = V797814 - 1. assign V227852 = V598728 - 1. assign V509424 = V791272. assign V836032 = V977252. assign V521373 = V318337. assign V895945 = V269143 + 1. assign V740464 = V778238 + 1. assign V781898 = V723886 + 1. assign V998418 = V318337. assign V615256 = V255433 - 1. assign V934407 = V528247. assign V791272 = V740464 + 1. assign V720024 = V175616 - 1. assign V888455 = V592793 + 1. assign V087329 = V450948 - 1. assign V989537 = V318337 - 1. assign V978888 = V261083. assign V292991 = V546372. assign V723886 = V521373. assign V240395 = V700621. assign V372940 = V436473 - 1. assign V440139 = V595988. assign V050856 = V575172 - 1. assign V592793 = V977252 - 1. assign V624791 = V227852 + 1. assign V811874 = V791272 - 1. assign V471312 = V051633. assign V074853 = V256546 + 1. assign V608752 = V240395. assign V240995 = V803598 - 1. assign V595988 = V960332. assign V592132 = V575172 + 1. assign V431372 = V803598. assign V960332 = V221468 - 1. assign V778238 = V450948 - 1. assign V546372 = V803598. assign V282376 = V700621 - 1. assign V605091 = V023518 + 1. assign V132576 = V546372. assign V269143 = V803598 - 1. assign V051633 = V243918 + 1. assign V804175 = V419709 + 1. assign V337520 = V550720 + 1. assign V756133 = V700621. assign V888218 = V244647. assign V997925 = V740464 - 1. assign V175616 = V797814 - 1. assign V681611 = V432201. assign V385205 = V469203 + 1. assign V256546 = V172496. assign V279416 = V261083 - 1. assign V432201 = V279416. assign V844738 = V546372. assign V977252 = V797814 - 1. assign V700621 = V450948.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V598728 = V240395. assign V136886 = V261083 + 1. assign V450948 = V575172. assign V283269 = V302006 - 1. assign V268076 = V800274 - 1. assign V244647 = V700621 - 1. assign V918896 = V450948 - 1. assign V302006 = V431372 - 1. assign V255433 = V989537 - 1. assign V803598 = V778238 - 1. assign V221468 = V700621. assign V172496 = V811874 + 1. assign V147193 = V318337 + 1. assign V436473 = V575172 + 1. assign V241198 = V883225. assign V419709 = V608752 + 1. assign V569979 = V050856 + 1. assign V797814 = V221468. assign V528247 = V244647. assign V023518 = 5. assign V496710 = V256546 + 1. assign V261083 = V431372. assign V243918 = V787061 - 1. assign V318337 = V546372 + 1. assign V469203 = V700621 + 1. assign V883225 = V575172 - 1. assign V550720 = V279416. assign V800274 = V978888 + 1. assign V787061 = V087329. assign V829971 = V778238 + 1. assign V023710 = V528247. assign V084794 = V797814 - 1. assign V227852 = V598728 - 1. assign V509424 = V791272. assign V836032 = V977252. assign V521373 = V318337. assign V895945 = V269143 + 1. assign V740464 = V778238 + 1. assign V781898 = V723886 + 1. assign V998418 = V318337. assign V615256 = V255433 - 1. assign V934407 = V528247. assign V791272 = V740464 + 1. assign V720024 = V175616 - 1. assign V888455 = V592793 + 1. assign V087329 = V450948 - 1. assign V989537 = V318337 - 1. assign V978888 = V261083. assign V292991 = V546372. assign V723886 = V521373. assign V240395 = V700621. assign V372940 = V436473 - 1. assign V440139 = V595988. assign V050856 = V575172 - 1. assign V592793 = V977252 - 1. assign V624791 = V227852 + 1. assign V811874 = V791272 - 1. assign V471312 = V051633. assign V074853 = V256546 + 1. assign V608752 = V240395. assign V240995 = V803598 - 1. assign V595988 = V960332. assign V592132 = V575172 + 1. assign V431372 = V803598. assign V960332 = V221468 - 1. assign V778238 = V450948 - 1. assign V546372 = V803598. assign V282376 = V700621 - 1. assign V605091 = V023518 + 1. assign V132576 = V546372. assign V269143 = V803598 - 1. assign V051633 = V243918 + 1. assign V804175 = V419709 + 1. assign V337520 = V550720 + 1. assign V756133 = V700621. assign V888218 = V244647. assign V997925 = V740464 - 1. assign V175616 = V797814 - 1. assign V681611 = V432201. assign V385205 = V469203 + 1. assign V256546 = V172496. assign V279416 = V261083 - 1. assign V432201 = V279416. assign V844738 = V546372. assign V977252 = V797814 - 1. assign V700621 = V450948.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV023518 = 5;\n\nFrom these direct assignment(s), we have: \nV605091 = V023518 + 1 = 5 + 1 =6;\nNo other variables can be derived from V605091;\nNo other variables can be derived from V023518;\n\nNow we have done all the calculations. Derived variables are:\nV023518 = 5;\nV605091 = 6;\n\nNow we have finished this problem. ANSWER:\nV605091\n", "role": "assistant" } ]

[ "V514750", "V189702" ]

[ { "content": "<context>\nassign V346187 = V254826 + 1. assign V154929 = V284326 - 1. assign V149394 = V513359. assign V450345 = V234182 - 1. assign V027026 = V249300 - 1. assign V032906 = V149394. assign V712970 = V602987 + 1. assign V575423 = V754705 - 1. assign V610940 = V323570. assign V562581 = V496290 + 1. assign V595355 = V575423. assign V973854 = V741463 + 1. assign V485473 = V687975 - 1. assign V259039 = V652247. assign V899387 = V633039 + 1. assign V569231 = V213197 - 1. assign V259725 = V955175 + 1. assign V648648 = V149394 + 1. assign V655331 = V779078. assign V151700 = V595355. assign V484952 = V633039 - 1. assign V514750 = 5. assign V041899 = V934315 + 1. assign V779078 = V021606 - 1. assign V145159 = V962570. assign V571493 = V665966 + 1. assign V887896 = V575423 + 1. assign V329553 = V578333 + 1. assign V565742 = V249300. assign V213197 = V565742 + 1. assign V249300 = V323570 - 1. assign V484411 = V973854. assign V687975 = V867968. assign V984612 = V323570 - 1. assign V003221 = V254826 + 1. assign V945613 = V961766 + 1. assign V284326 = V962570 + 1. assign V173619 = V496290. assign V189702 = V514750. assign V660779 = V571493 + 1. assign V451371 = V120623. assign V271309 = V120623. assign V652247 = V633039 + 1. assign V578333 = V754705 + 1. assign V388572 = V565742. assign V190119 = V213197. assign V655939 = V258227 - 1. assign V595346 = V437155 - 1. assign V085612 = V899387 + 1. assign V882435 = V633039. assign V658949 = V249300 + 1. assign V633039 = V249300. assign V323570 = V496290 + 1. assign V616835 = V254826 - 1. assign V437155 = V092745. assign V934315 = V741463 - 1. assign V445440 = V569231. assign V231213 = V234182 - 1. assign V741463 = V496290 - 1. assign V234182 = V665966 + 1. assign V783854 = V234182 - 1. assign V092745 = V403650 - 1. assign V258774 = V403650. assign V120623 = V254826 + 1. assign V886528 = V565742 + 1. assign V602987 = V633039 - 1. assign V761749 = V955175 - 1. assign V258227 = V190119 - 1. assign V711320 = V578333 + 1. assign V140976 = V595355 - 1. assign V867968 = V652247 + 1. assign V403650 = V575423 - 1. assign V962570 = V234182. assign V206427 = V665966. assign V665966 = V754705. assign V559286 = V234182 + 1. assign V955175 = V945613 + 1. assign V754705 = V323570 + 1. assign V254826 = V962570. assign V902819 = V610940. assign V021606 = V934315 + 1. assign V378574 = V962570. assign V961766 = V021606 - 1. assign V196082 = V190119. assign V979523 = V323570 - 1. assign V513359 = V496290 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V346187 = V254826 + 1. assign V154929 = V284326 - 1. assign V149394 = V513359. assign V450345 = V234182 - 1. assign V027026 = V249300 - 1. assign V032906 = V149394. assign V712970 = V602987 + 1. assign V575423 = V754705 - 1. assign V610940 = V323570. assign V562581 = V496290 + 1. assign V595355 = V575423. assign V973854 = V741463 + 1. assign V485473 = V687975 - 1. assign V259039 = V652247. assign V899387 = V633039 + 1. assign V569231 = V213197 - 1. assign V259725 = V955175 + 1. assign V648648 = V149394 + 1. assign V655331 = V779078. assign V151700 = V595355. assign V484952 = V633039 - 1. assign V514750 = 5. assign V041899 = V934315 + 1. assign V779078 = V021606 - 1. assign V145159 = V962570. assign V571493 = V665966 + 1. assign V887896 = V575423 + 1. assign V329553 = V578333 + 1. assign V565742 = V249300. assign V213197 = V565742 + 1. assign V249300 = V323570 - 1. assign V484411 = V973854. assign V687975 = V867968. assign V984612 = V323570 - 1. assign V003221 = V254826 + 1. assign V945613 = V961766 + 1. assign V284326 = V962570 + 1. assign V173619 = V496290. assign V189702 = V514750. assign V660779 = V571493 + 1. assign V451371 = V120623. assign V271309 = V120623. assign V652247 = V633039 + 1. assign V578333 = V754705 + 1. assign V388572 = V565742. assign V190119 = V213197. assign V655939 = V258227 - 1. assign V595346 = V437155 - 1. assign V085612 = V899387 + 1. assign V882435 = V633039. assign V658949 = V249300 + 1. assign V633039 = V249300. assign V323570 = V496290 + 1. assign V616835 = V254826 - 1. assign V437155 = V092745. assign V934315 = V741463 - 1. assign V445440 = V569231. assign V231213 = V234182 - 1. assign V741463 = V496290 - 1. assign V234182 = V665966 + 1. assign V783854 = V234182 - 1. assign V092745 = V403650 - 1. assign V258774 = V403650. assign V120623 = V254826 + 1. assign V886528 = V565742 + 1. assign V602987 = V633039 - 1. assign V761749 = V955175 - 1. assign V258227 = V190119 - 1. assign V711320 = V578333 + 1. assign V140976 = V595355 - 1. assign V867968 = V652247 + 1. assign V403650 = V575423 - 1. assign V962570 = V234182. assign V206427 = V665966. assign V665966 = V754705. assign V559286 = V234182 + 1. assign V955175 = V945613 + 1. assign V754705 = V323570 + 1. assign V254826 = V962570. assign V902819 = V610940. assign V021606 = V934315 + 1. assign V378574 = V962570. assign V961766 = V021606 - 1. assign V196082 = V190119. assign V979523 = V323570 - 1. assign V513359 = V496290 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV514750 = 5;\n\nFrom these direct assignment(s), we have: \nV189702 = V514750 = 5;\nNo other variables can be derived from V189702;\nNo other variables can be derived from V514750;\n\nNow we have done all the calculations. Derived variables are:\nV514750 = 5;\nV189702 = 5;\n\nNow we have finished this problem. ANSWER:\nV514750, V189702\n", "role": "assistant" } ]

[ "V837299", "V593652" ]

[ { "content": "<context>\nassign V218307 = V905301. assign V544053 = V171884 + 1. assign V750016 = V848048 - 1. assign V377710 = V210991. assign V299793 = V514284 + 1. assign V467264 = V663965 + 1. assign V092904 = V013108 + 1. assign V663965 = V277029. assign V013108 = V709708 + 1. assign V329751 = V013108. assign V691445 = V663965 + 1. assign V096625 = V851358 + 1. assign V602258 = V412308 - 1. assign V695799 = V611926. assign V595996 = V863054 - 1. assign V512045 = V709708 + 1. assign V902800 = V694465. assign V553095 = V071806 + 1. assign V709708 = V611926 - 1. assign V477312 = V694465 - 1. assign V277704 = V863054. assign V482119 = V276828. assign V388230 = V694465. assign V071806 = V171884. assign V506494 = V218307 + 1. assign V994793 = V909606 + 1. assign V630308 = V506494 - 1. assign V231727 = V905301. assign V645640 = V512045 + 1. assign V208082 = V863054 - 1. assign V957369 = V909606 - 1. assign V736818 = V512045. assign V233558 = V616569. assign V140077 = V905301 - 1. assign V622204 = V231727 - 1. assign V980739 = V986831 - 1. assign V858649 = V694465. assign V568088 = V525976. assign V751474 = V173812. assign V969741 = V796943. assign V848048 = V231727 - 1. assign V758247 = V796943 + 1. assign V525976 = V029621. assign V104783 = V096625. assign V276797 = V173812. assign V616569 = V512045 + 1. assign V210991 = V645640 - 1. assign V029621 = V858649. assign V259583 = V663965 + 1. assign V694465 = V611926. assign V863054 = V477312 - 1. assign V397852 = V071806 - 1. assign V514284 = V796943. assign V837299 = 5. assign V891159 = V911235. assign V344169 = V894673 - 1. assign V056137 = V891159. assign V282964 = V863054 - 1. assign V768841 = V902800 - 1. assign V247357 = V544053. assign V439457 = V276828 - 1. assign V728208 = V544053 + 1. assign V593652 = V837299. assign V387190 = V096625. assign V347899 = V512045. assign V894673 = V611926 - 1. assign V173812 = V986831. assign V260493 = V695799 + 1. assign V346070 = V412308 + 1. assign V412308 = V514284. assign V634962 = V397852 - 1. assign V905301 = V512045 + 1. assign V625447 = V848048. assign V851358 = V796943 + 1. assign V277029 = V512045 + 1. assign V986831 = V477312 - 1. assign V171884 = V709708. assign V911235 = V029621 - 1. assign V137479 = V645640. assign V684171 = V751474 - 1. assign V909606 = V728208 - 1. assign V884578 = V851358 + 1. assign V121645 = V388230. assign V276828 = V645640. assign V890442 = V218307 - 1. assign V796943 = V695799.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V218307 = V905301. assign V544053 = V171884 + 1. assign V750016 = V848048 - 1. assign V377710 = V210991. assign V299793 = V514284 + 1. assign V467264 = V663965 + 1. assign V092904 = V013108 + 1. assign V663965 = V277029. assign V013108 = V709708 + 1. assign V329751 = V013108. assign V691445 = V663965 + 1. assign V096625 = V851358 + 1. assign V602258 = V412308 - 1. assign V695799 = V611926. assign V595996 = V863054 - 1. assign V512045 = V709708 + 1. assign V902800 = V694465. assign V553095 = V071806 + 1. assign V709708 = V611926 - 1. assign V477312 = V694465 - 1. assign V277704 = V863054. assign V482119 = V276828. assign V388230 = V694465. assign V071806 = V171884. assign V506494 = V218307 + 1. assign V994793 = V909606 + 1. assign V630308 = V506494 - 1. assign V231727 = V905301. assign V645640 = V512045 + 1. assign V208082 = V863054 - 1. assign V957369 = V909606 - 1. assign V736818 = V512045. assign V233558 = V616569. assign V140077 = V905301 - 1. assign V622204 = V231727 - 1. assign V980739 = V986831 - 1. assign V858649 = V694465. assign V568088 = V525976. assign V751474 = V173812. assign V969741 = V796943. assign V848048 = V231727 - 1. assign V758247 = V796943 + 1. assign V525976 = V029621. assign V104783 = V096625. assign V276797 = V173812. assign V616569 = V512045 + 1. assign V210991 = V645640 - 1. assign V029621 = V858649. assign V259583 = V663965 + 1. assign V694465 = V611926. assign V863054 = V477312 - 1. assign V397852 = V071806 - 1. assign V514284 = V796943. assign V837299 = 5. assign V891159 = V911235. assign V344169 = V894673 - 1. assign V056137 = V891159. assign V282964 = V863054 - 1. assign V768841 = V902800 - 1. assign V247357 = V544053. assign V439457 = V276828 - 1. assign V728208 = V544053 + 1. assign V593652 = V837299. assign V387190 = V096625. assign V347899 = V512045. assign V894673 = V611926 - 1. assign V173812 = V986831. assign V260493 = V695799 + 1. assign V346070 = V412308 + 1. assign V412308 = V514284. assign V634962 = V397852 - 1. assign V905301 = V512045 + 1. assign V625447 = V848048. assign V851358 = V796943 + 1. assign V277029 = V512045 + 1. assign V986831 = V477312 - 1. assign V171884 = V709708. assign V911235 = V029621 - 1. assign V137479 = V645640. assign V684171 = V751474 - 1. assign V909606 = V728208 - 1. assign V884578 = V851358 + 1. assign V121645 = V388230. assign V276828 = V645640. assign V890442 = V218307 - 1. assign V796943 = V695799.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV837299 = 5;\n\nFrom these direct assignment(s), we have: \nV593652 = V837299 = 5;\nNo other variables can be derived from V593652;\nNo other variables can be derived from V837299;\n\nNow we have done all the calculations. Derived variables are:\nV837299 = 5;\nV593652 = 5;\n\nNow we have finished this problem. ANSWER:\nV837299, V593652\n", "role": "assistant" } ]

[ "V751272", "V860999" ]

[ { "content": "<context>\nassign V223512 = V670538 + 1. assign V131471 = V674942. assign V391666 = V773999 - 1. assign V664449 = V376995 - 1. assign V553104 = V071697. assign V376995 = V889940 - 1. assign V948463 = V640608 - 1. assign V762565 = V929311. assign V622344 = V325204 + 1. assign V888860 = V433006 - 1. assign V001837 = V262737. assign V558457 = V640608. assign V727812 = V273692 - 1. assign V453142 = V856392 + 1. assign V338126 = V835470. assign V405990 = V060635 + 1. assign V874750 = V971116. assign V674942 = V664449 - 1. assign V659913 = V325204 + 1. assign V740613 = V874750. assign V920319 = V338126. assign V141774 = V783939. assign V237563 = V520127. assign V940491 = V391666 - 1. assign V117650 = V919066 + 1. assign V971116 = V823592 + 1. assign V823592 = V150290 - 1. assign V292911 = V971116 + 1. assign V060635 = V433006 + 1. assign V773999 = V065989 + 1. assign V458549 = V101523 + 1. assign V783939 = V725096 + 1. assign V897728 = V405565 - 1. assign V658054 = V101523. assign V404888 = V639161 - 1. assign V150290 = V889405. assign V096893 = V697031. assign V133932 = V622344 + 1. assign V981175 = V658054. assign V482547 = V045682 - 1. assign V860999 = V751272. assign V433006 = V835470 - 1. assign V520127 = V477713. assign V468506 = V433006 - 1. assign V919066 = V856392 + 1. assign V512170 = V071697. assign V751272 = 10. assign V219738 = V920319 + 1. assign V342744 = V376995. assign V725096 = V916999 - 1. assign V468481 = V433006 - 1. assign V894394 = V206704 + 1. assign V963638 = V640608. assign V101523 = V835470 - 1. assign V045682 = V889940 - 1. assign V916999 = V060635 + 1. assign V756762 = V971116 - 1. assign V071697 = V433006 - 1. assign V168919 = V879893 + 1. assign V829543 = V376995 - 1. assign V640608 = V622344 + 1. assign V405565 = V433006 - 1. assign V697031 = V065989. assign V486057 = V150290. assign V818082 = V325204. assign V206704 = V879893. assign V879893 = V835470. assign V262737 = V889405 + 1. assign V944616 = V773999 + 1. assign V477713 = V674942 - 1. assign V273692 = V823592 - 1. assign V880069 = V674942. assign V929311 = V150290 + 1. assign V670362 = V150290. assign V856392 = V664449 + 1. assign V858425 = V664449 + 1. assign V889940 = V338126 - 1. assign V812231 = V658054 + 1. assign V670538 = V338126 + 1. assign V065989 = V856392. assign V874011 = V071697 - 1. assign V649252 = V262737. assign V695480 = V835470. assign V325204 = V101523 - 1. assign V639161 = V658054 - 1. assign V889405 = V835470 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V223512 = V670538 + 1. assign V131471 = V674942. assign V391666 = V773999 - 1. assign V664449 = V376995 - 1. assign V553104 = V071697. assign V376995 = V889940 - 1. assign V948463 = V640608 - 1. assign V762565 = V929311. assign V622344 = V325204 + 1. assign V888860 = V433006 - 1. assign V001837 = V262737. assign V558457 = V640608. assign V727812 = V273692 - 1. assign V453142 = V856392 + 1. assign V338126 = V835470. assign V405990 = V060635 + 1. assign V874750 = V971116. assign V674942 = V664449 - 1. assign V659913 = V325204 + 1. assign V740613 = V874750. assign V920319 = V338126. assign V141774 = V783939. assign V237563 = V520127. assign V940491 = V391666 - 1. assign V117650 = V919066 + 1. assign V971116 = V823592 + 1. assign V823592 = V150290 - 1. assign V292911 = V971116 + 1. assign V060635 = V433006 + 1. assign V773999 = V065989 + 1. assign V458549 = V101523 + 1. assign V783939 = V725096 + 1. assign V897728 = V405565 - 1. assign V658054 = V101523. assign V404888 = V639161 - 1. assign V150290 = V889405. assign V096893 = V697031. assign V133932 = V622344 + 1. assign V981175 = V658054. assign V482547 = V045682 - 1. assign V860999 = V751272. assign V433006 = V835470 - 1. assign V520127 = V477713. assign V468506 = V433006 - 1. assign V919066 = V856392 + 1. assign V512170 = V071697. assign V751272 = 10. assign V219738 = V920319 + 1. assign V342744 = V376995. assign V725096 = V916999 - 1. assign V468481 = V433006 - 1. assign V894394 = V206704 + 1. assign V963638 = V640608. assign V101523 = V835470 - 1. assign V045682 = V889940 - 1. assign V916999 = V060635 + 1. assign V756762 = V971116 - 1. assign V071697 = V433006 - 1. assign V168919 = V879893 + 1. assign V829543 = V376995 - 1. assign V640608 = V622344 + 1. assign V405565 = V433006 - 1. assign V697031 = V065989. assign V486057 = V150290. assign V818082 = V325204. assign V206704 = V879893. assign V879893 = V835470. assign V262737 = V889405 + 1. assign V944616 = V773999 + 1. assign V477713 = V674942 - 1. assign V273692 = V823592 - 1. assign V880069 = V674942. assign V929311 = V150290 + 1. assign V670362 = V150290. assign V856392 = V664449 + 1. assign V858425 = V664449 + 1. assign V889940 = V338126 - 1. assign V812231 = V658054 + 1. assign V670538 = V338126 + 1. assign V065989 = V856392. assign V874011 = V071697 - 1. assign V649252 = V262737. assign V695480 = V835470. assign V325204 = V101523 - 1. assign V639161 = V658054 - 1. assign V889405 = V835470 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV751272 = 10;\n\nFrom these direct assignment(s), we have: \nV860999 = V751272 = 10;\nNo other variables can be derived from V860999;\nNo other variables can be derived from V751272;\n\nNow we have done all the calculations. Derived variables are:\nV751272 = 10;\nV860999 = 10;\n\nNow we have finished this problem. ANSWER:\nV751272, V860999\n", "role": "assistant" } ]

[ "V528114" ]

[ { "content": "<context>\nassign V186979 = V819118 - 1. assign V587329 = V129417 - 1. assign V163025 = V389138. assign V042369 = V631063 - 1. assign V309616 = V488173. assign V246284 = V236709 - 1. assign V091841 = V706096 - 1. assign V833428 = V070627 - 1. assign V268983 = V813732. assign V435604 = V156968 - 1. assign V446390 = V488173 - 1. assign V707964 = V843977 + 1. assign V882448 = V261561 - 1. assign V908375 = V435604 - 1. assign V741184 = V435604 - 1. assign V808894 = V140116 - 1. assign V255855 = V813732 + 1. assign V058260 = V190788 - 1. assign V763517 = V635496. assign V941909 = V669962. assign V598311 = V255855 + 1. assign V415709 = V246284 + 1. assign V927219 = V707964 + 1. assign V156968 = V813732. assign V049538 = V559714 - 1. assign V350195 = V669962 + 1. assign V418589 = V268983 + 1. assign V190788 = V843977 - 1. assign V070627 = V446390. assign V559714 = V389138 - 1. assign V813732 = V583441. assign V233675 = V488173 + 1. assign V397826 = V750997 - 1. assign V063559 = V669962. assign V920817 = V528114 + 1. assign V934593 = V631063 + 1. assign V389138 = V911270. assign V853149 = V446390 - 1. assign V706096 = V874184. assign V032983 = V012471. assign V634990 = V345086 + 1. assign V669962 = V631063 - 1. assign V544512 = V882448 + 1. assign V874184 = V488173 - 1. assign V613403 = V631063 - 1. assign V654818 = V268983. assign V887562 = V741184. assign V425774 = V911270 + 1. assign V819118 = V843977 + 1. assign V140116 = V070627 + 1. assign V269805 = V446390 - 1. assign V750997 = V934593 - 1. assign V635496 = V488173 + 1. assign V128129 = V246284 + 1. assign V236709 = V813732. assign V522055 = V583441 + 1. assign V227504 = V309616 + 1. assign V868952 = V934593 + 1. assign V387334 = V868952 - 1. assign V631063 = V583441. assign V655770 = V389138 + 1. assign V315327 = V435604. assign V714747 = V268983. assign V338623 = V634990 + 1. assign V877585 = V613403 - 1. assign V010424 = V866473. assign V843977 = V813732 + 1. assign V710698 = V129417 - 1. assign V457599 = V389138 - 1. assign V129417 = V613403 - 1. assign V866473 = V908375. assign V092048 = V654818 - 1. assign V387292 = V631063 - 1. assign V468171 = V587329. assign V320001 = V423462. assign V012471 = V750997. assign V460127 = V389138 - 1. assign V911270 = V813732. assign V345086 = V583441 - 1. assign V261561 = V488173 + 1. assign V851296 = V488173 + 1. assign V423462 = V908375 - 1. assign V067362 = V635496 - 1. assign V488173 = V631063 + 1. assign V528114 = 8. assign V672242 = V063559 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V186979 = V819118 - 1. assign V587329 = V129417 - 1. assign V163025 = V389138. assign V042369 = V631063 - 1. assign V309616 = V488173. assign V246284 = V236709 - 1. assign V091841 = V706096 - 1. assign V833428 = V070627 - 1. assign V268983 = V813732. assign V435604 = V156968 - 1. assign V446390 = V488173 - 1. assign V707964 = V843977 + 1. assign V882448 = V261561 - 1. assign V908375 = V435604 - 1. assign V741184 = V435604 - 1. assign V808894 = V140116 - 1. assign V255855 = V813732 + 1. assign V058260 = V190788 - 1. assign V763517 = V635496. assign V941909 = V669962. assign V598311 = V255855 + 1. assign V415709 = V246284 + 1. assign V927219 = V707964 + 1. assign V156968 = V813732. assign V049538 = V559714 - 1. assign V350195 = V669962 + 1. assign V418589 = V268983 + 1. assign V190788 = V843977 - 1. assign V070627 = V446390. assign V559714 = V389138 - 1. assign V813732 = V583441. assign V233675 = V488173 + 1. assign V397826 = V750997 - 1. assign V063559 = V669962. assign V920817 = V528114 + 1. assign V934593 = V631063 + 1. assign V389138 = V911270. assign V853149 = V446390 - 1. assign V706096 = V874184. assign V032983 = V012471. assign V634990 = V345086 + 1. assign V669962 = V631063 - 1. assign V544512 = V882448 + 1. assign V874184 = V488173 - 1. assign V613403 = V631063 - 1. assign V654818 = V268983. assign V887562 = V741184. assign V425774 = V911270 + 1. assign V819118 = V843977 + 1. assign V140116 = V070627 + 1. assign V269805 = V446390 - 1. assign V750997 = V934593 - 1. assign V635496 = V488173 + 1. assign V128129 = V246284 + 1. assign V236709 = V813732. assign V522055 = V583441 + 1. assign V227504 = V309616 + 1. assign V868952 = V934593 + 1. assign V387334 = V868952 - 1. assign V631063 = V583441. assign V655770 = V389138 + 1. assign V315327 = V435604. assign V714747 = V268983. assign V338623 = V634990 + 1. assign V877585 = V613403 - 1. assign V010424 = V866473. assign V843977 = V813732 + 1. assign V710698 = V129417 - 1. assign V457599 = V389138 - 1. assign V129417 = V613403 - 1. assign V866473 = V908375. assign V092048 = V654818 - 1. assign V387292 = V631063 - 1. assign V468171 = V587329. assign V320001 = V423462. assign V012471 = V750997. assign V460127 = V389138 - 1. assign V911270 = V813732. assign V345086 = V583441 - 1. assign V261561 = V488173 + 1. assign V851296 = V488173 + 1. assign V423462 = V908375 - 1. assign V067362 = V635496 - 1. assign V488173 = V631063 + 1. assign V528114 = 8. assign V672242 = V063559 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV528114 = 8;\n\nFrom these direct assignment(s), we have: \nV920817 = V528114 + 1 = 8 + 1 =9;\nNo other variables can be derived from V920817;\nNo other variables can be derived from V528114;\n\nNow we have done all the calculations. Derived variables are:\nV528114 = 8;\nV920817 = 9;\n\nNow we have finished this problem. ANSWER:\nV528114\n", "role": "assistant" } ]

[ "V439512" ]

[ { "content": "<context>\nassign V649070 = V178146. assign V166562 = V683027. assign V917533 = V727902 + 1. assign V163489 = V107525 - 1. assign V296621 = V857614 - 1. assign V624283 = V774385 + 1. assign V158712 = V092586 + 1. assign V948491 = V649070 + 1. assign V950014 = V296621 - 1. assign V439512 = V882269 + 1. assign V541709 = V158712. assign V118029 = V230396 + 1. assign V591140 = V163489. assign V772988 = V163489. assign V879426 = V365734 - 1. assign V007898 = V098028 - 1. assign V071301 = V412492. assign V126041 = V811973 + 1. assign V727902 = V754462. assign V751045 = V078383. assign V518630 = V203677. assign V125097 = V367678 - 1. assign V411886 = V847660 + 1. assign V337034 = V774385 - 1. assign V098028 = V092586 - 1. assign V807541 = V857614 + 1. assign V683027 = V552684. assign V830767 = V078383. assign V134980 = V280794. assign V321576 = V591140 + 1. assign V280794 = V702350 + 1. assign V702350 = V281222. assign V415581 = V857614 + 1. assign V774153 = V790797. assign V078383 = V725659 + 1. assign V107525 = V092586 - 1. assign V542113 = V107525 + 1. assign V774385 = V857614 + 1. assign V790797 = V092586 - 1. assign V847660 = V377304. assign V808650 = V857614. assign V178146 = V367678 - 1. assign V993278 = V790797 - 1. assign V092586 = V857614 + 1. assign V696023 = V661756. assign V715614 = V107525. assign V956178 = V005157 + 1. assign V627149 = V092586 + 1. assign V889818 = V367678 + 1. assign V661756 = V296621. assign V564856 = V993278 - 1. assign V412492 = V857614 - 1. assign V203677 = V774385 - 1. assign V754462 = V857614 + 1. assign V118180 = V807541. assign V158995 = V878134 - 1. assign V251994 = V591140. assign V914628 = V377304 - 1. assign V281222 = V178146 - 1. assign V115157 = V959825. assign V463202 = V296621 - 1. assign V716755 = V770205 + 1. assign V959825 = V116561 + 1. assign V552684 = V092586 + 1. assign V367678 = V107525 + 1. assign V872219 = V098028 - 1. assign V777808 = V772988 + 1. assign V933945 = V716755. assign V770205 = V808650 + 1. assign V882269 = 0. assign V878134 = V007898 - 1. assign V725659 = V158712 + 1. assign V809622 = V948491. assign V633489 = V830767 - 1. assign V968627 = V007898. assign V064421 = V365734. assign V198305 = V415581 + 1. assign V230396 = V125097. assign V364336 = V715614 - 1. assign V005157 = V134980 - 1. assign V116561 = V281222 - 1. assign V365734 = V715614 - 1. assign V214773 = V830767 - 1. assign V377304 = V552684 - 1. assign V811973 = V727902 + 1. assign V037569 = V968627.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V649070 = V178146. assign V166562 = V683027. assign V917533 = V727902 + 1. assign V163489 = V107525 - 1. assign V296621 = V857614 - 1. assign V624283 = V774385 + 1. assign V158712 = V092586 + 1. assign V948491 = V649070 + 1. assign V950014 = V296621 - 1. assign V439512 = V882269 + 1. assign V541709 = V158712. assign V118029 = V230396 + 1. assign V591140 = V163489. assign V772988 = V163489. assign V879426 = V365734 - 1. assign V007898 = V098028 - 1. assign V071301 = V412492. assign V126041 = V811973 + 1. assign V727902 = V754462. assign V751045 = V078383. assign V518630 = V203677. assign V125097 = V367678 - 1. assign V411886 = V847660 + 1. assign V337034 = V774385 - 1. assign V098028 = V092586 - 1. assign V807541 = V857614 + 1. assign V683027 = V552684. assign V830767 = V078383. assign V134980 = V280794. assign V321576 = V591140 + 1. assign V280794 = V702350 + 1. assign V702350 = V281222. assign V415581 = V857614 + 1. assign V774153 = V790797. assign V078383 = V725659 + 1. assign V107525 = V092586 - 1. assign V542113 = V107525 + 1. assign V774385 = V857614 + 1. assign V790797 = V092586 - 1. assign V847660 = V377304. assign V808650 = V857614. assign V178146 = V367678 - 1. assign V993278 = V790797 - 1. assign V092586 = V857614 + 1. assign V696023 = V661756. assign V715614 = V107525. assign V956178 = V005157 + 1. assign V627149 = V092586 + 1. assign V889818 = V367678 + 1. assign V661756 = V296621. assign V564856 = V993278 - 1. assign V412492 = V857614 - 1. assign V203677 = V774385 - 1. assign V754462 = V857614 + 1. assign V118180 = V807541. assign V158995 = V878134 - 1. assign V251994 = V591140. assign V914628 = V377304 - 1. assign V281222 = V178146 - 1. assign V115157 = V959825. assign V463202 = V296621 - 1. assign V716755 = V770205 + 1. assign V959825 = V116561 + 1. assign V552684 = V092586 + 1. assign V367678 = V107525 + 1. assign V872219 = V098028 - 1. assign V777808 = V772988 + 1. assign V933945 = V716755. assign V770205 = V808650 + 1. assign V882269 = 0. assign V878134 = V007898 - 1. assign V725659 = V158712 + 1. assign V809622 = V948491. assign V633489 = V830767 - 1. assign V968627 = V007898. assign V064421 = V365734. assign V198305 = V415581 + 1. assign V230396 = V125097. assign V364336 = V715614 - 1. assign V005157 = V134980 - 1. assign V116561 = V281222 - 1. assign V365734 = V715614 - 1. assign V214773 = V830767 - 1. assign V377304 = V552684 - 1. assign V811973 = V727902 + 1. assign V037569 = V968627.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV882269 = 0;\n\nFrom these direct assignment(s), we have: \nV439512 = V882269 + 1 = 0 + 1 =1;\nNo other variables can be derived from V439512;\nNo other variables can be derived from V882269;\n\nNow we have done all the calculations. Derived variables are:\nV882269 = 0;\nV439512 = 1;\n\nNow we have finished this problem. ANSWER:\nV439512\n", "role": "assistant" } ]

[ "V920916", "V298586" ]

[ { "content": "<context>\nassign V999808 = V000998. assign V867471 = V000998 + 1. assign V585276 = V368107 - 1. assign V726809 = V576320 - 1. assign V434048 = V725669 - 1. assign V891414 = V551401 - 1. assign V551401 = V315921. assign V738967 = V173614. assign V260579 = V135232 + 1. assign V466830 = V299980. assign V456284 = V236809 + 1. assign V343431 = V260579 + 1. assign V015554 = V368172. assign V039675 = V110884 + 1. assign V098862 = V135232. assign V364199 = V349002 + 1. assign V105738 = V286448 - 1. assign V669477 = V000998 + 1. assign V920916 = 9. assign V328985 = V935297 + 1. assign V695308 = V473041. assign V473041 = V286448 - 1. assign V298586 = V920916. assign V041839 = V891414 + 1. assign V761858 = V299980. assign V255843 = V364199 + 1. assign V259732 = V478021. assign V822791 = V075920. assign V795646 = V110884. assign V573043 = V112972. assign V110884 = V299980. assign V725669 = V260579 - 1. assign V935297 = V368172 - 1. assign V368107 = V000998 + 1. assign V076080 = V621593 + 1. assign V411569 = V000998. assign V135232 = V742327 + 1. assign V576320 = V236809 - 1. assign V247202 = V999808 - 1. assign V555227 = V260579. assign V748866 = V350979 + 1. assign V652405 = V315921 + 1. assign V583238 = V801739. assign V924719 = V286448 - 1. assign V368172 = V361405 + 1. assign V315921 = V135232. assign V239793 = V494470. assign V621593 = V742327 - 1. assign V924718 = V411569 + 1. assign V236809 = V260579 + 1. assign V468645 = V621593 - 1. assign V349002 = V328985 + 1. assign V173614 = V466205. assign V753941 = V466830 - 1. assign V135766 = V891414 - 1. assign V297796 = V935297 + 1. assign V366511 = V343975 + 1. assign V075920 = V411569 - 1. assign V112972 = V935297. assign V299980 = V361405 - 1. assign V801739 = V725669 - 1. assign V742327 = V000998 - 1. assign V827232 = V315921. assign V781270 = V350979 - 1. assign V343975 = V621593 + 1. assign V379792 = V331211 + 1. assign V652385 = V742327 + 1. assign V350979 = V891414 + 1. assign V361405 = V000998 + 1. assign V739981 = V000998 - 1. assign V170885 = V331211. assign V466205 = V076080. assign V494470 = V411569. assign V819630 = V801739. assign V703683 = V585276. assign V821151 = V328985. assign V478021 = V135232 + 1. assign V652358 = V331211 - 1. assign V420308 = V742327 + 1. assign V286448 = V183384 - 1. assign V644729 = V299980 - 1. assign V183384 = V315921 - 1. assign V331211 = V742327 - 1. assign V407634 = V411569 - 1. assign V950956 = V494470 + 1. assign V737575 = V135232 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V999808 = V000998. assign V867471 = V000998 + 1. assign V585276 = V368107 - 1. assign V726809 = V576320 - 1. assign V434048 = V725669 - 1. assign V891414 = V551401 - 1. assign V551401 = V315921. assign V738967 = V173614. assign V260579 = V135232 + 1. assign V466830 = V299980. assign V456284 = V236809 + 1. assign V343431 = V260579 + 1. assign V015554 = V368172. assign V039675 = V110884 + 1. assign V098862 = V135232. assign V364199 = V349002 + 1. assign V105738 = V286448 - 1. assign V669477 = V000998 + 1. assign V920916 = 9. assign V328985 = V935297 + 1. assign V695308 = V473041. assign V473041 = V286448 - 1. assign V298586 = V920916. assign V041839 = V891414 + 1. assign V761858 = V299980. assign V255843 = V364199 + 1. assign V259732 = V478021. assign V822791 = V075920. assign V795646 = V110884. assign V573043 = V112972. assign V110884 = V299980. assign V725669 = V260579 - 1. assign V935297 = V368172 - 1. assign V368107 = V000998 + 1. assign V076080 = V621593 + 1. assign V411569 = V000998. assign V135232 = V742327 + 1. assign V576320 = V236809 - 1. assign V247202 = V999808 - 1. assign V555227 = V260579. assign V748866 = V350979 + 1. assign V652405 = V315921 + 1. assign V583238 = V801739. assign V924719 = V286448 - 1. assign V368172 = V361405 + 1. assign V315921 = V135232. assign V239793 = V494470. assign V621593 = V742327 - 1. assign V924718 = V411569 + 1. assign V236809 = V260579 + 1. assign V468645 = V621593 - 1. assign V349002 = V328985 + 1. assign V173614 = V466205. assign V753941 = V466830 - 1. assign V135766 = V891414 - 1. assign V297796 = V935297 + 1. assign V366511 = V343975 + 1. assign V075920 = V411569 - 1. assign V112972 = V935297. assign V299980 = V361405 - 1. assign V801739 = V725669 - 1. assign V742327 = V000998 - 1. assign V827232 = V315921. assign V781270 = V350979 - 1. assign V343975 = V621593 + 1. assign V379792 = V331211 + 1. assign V652385 = V742327 + 1. assign V350979 = V891414 + 1. assign V361405 = V000998 + 1. assign V739981 = V000998 - 1. assign V170885 = V331211. assign V466205 = V076080. assign V494470 = V411569. assign V819630 = V801739. assign V703683 = V585276. assign V821151 = V328985. assign V478021 = V135232 + 1. assign V652358 = V331211 - 1. assign V420308 = V742327 + 1. assign V286448 = V183384 - 1. assign V644729 = V299980 - 1. assign V183384 = V315921 - 1. assign V331211 = V742327 - 1. assign V407634 = V411569 - 1. assign V950956 = V494470 + 1. assign V737575 = V135232 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV920916 = 9;\n\nFrom these direct assignment(s), we have: \nV298586 = V920916 = 9;\nNo other variables can be derived from V298586;\nNo other variables can be derived from V920916;\n\nNow we have done all the calculations. Derived variables are:\nV920916 = 9;\nV298586 = 9;\n\nNow we have finished this problem. ANSWER:\nV920916, V298586\n", "role": "assistant" } ]

[ "V480540" ]

[ { "content": "<context>\nassign V181835 = V565477. assign V171977 = V509463 + 1. assign V594311 = V334374. assign V106242 = V509463 + 1. assign V341050 = V185515 + 1. assign V361124 = V442624 - 1. assign V240930 = V934712 + 1. assign V076936 = V865272 + 1. assign V615801 = V593031. assign V653454 = V602215 + 1. assign V837689 = V615801 + 1. assign V489000 = V793885 + 1. assign V593031 = V240930 + 1. assign V502740 = V425114 - 1. assign V593754 = V341050 + 1. assign V602215 = V326285 - 1. assign V376109 = V245637 + 1. assign V509463 = V014260 + 1. assign V326285 = V652264 + 1. assign V429306 = V773035 - 1. assign V480540 = V471058 + 1. assign V604116 = V502740. assign V329133 = V093637 - 1. assign V840346 = V509463. assign V899759 = V376109 + 1. assign V813885 = V907915. assign V093637 = V822737 - 1. assign V793885 = V245637. assign V311577 = V865272 - 1. assign V388663 = V041659 + 1. assign V279049 = V445376. assign V245637 = V949022 + 1. assign V767168 = V014260 + 1. assign V933856 = V014260. assign V185515 = V280151. assign V089760 = V425114. assign V725321 = V240930 - 1. assign V163103 = V240930. assign V629152 = V850291 - 1. assign V547769 = V933856 - 1. assign V522017 = V741579. assign V949220 = V547769. assign V471058 = 9. assign V280151 = V489000. assign V933931 = V041659 + 1. assign V425114 = V514192. assign V795042 = V334374 - 1. assign V296942 = V361124 + 1. assign V865272 = V949022 + 1. assign V442624 = V502740 - 1. assign V041659 = V850291 - 1. assign V678232 = V388726 + 1. assign V822737 = V245637. assign V694744 = V245637. assign V357358 = V773035 + 1. assign V862486 = V502740. assign V900701 = V376109 - 1. assign V282990 = V900701 + 1. assign V972680 = V240930. assign V773035 = V967668. assign V105303 = V741579 - 1. assign V218653 = V972680 + 1. assign V518133 = V279049. assign V850291 = V793885. assign V370766 = V898290. assign V907915 = V593031 - 1. assign V514192 = V934712. assign V079060 = V518133. assign V922926 = V793885 - 1. assign V519868 = V509463 - 1. assign V967668 = V922926 + 1. assign V898290 = V334374 + 1. assign V652264 = V793885 - 1. assign V565477 = V514192 + 1. assign V934712 = V949022. assign V741579 = V341050 - 1. assign V833953 = V694744 + 1. assign V014260 = V862486 - 1. assign V388726 = V425114 + 1. assign V453676 = V862486 + 1. assign V308437 = V376109 - 1. assign V712815 = V565477. assign V188760 = V240930. assign V334374 = V934712. assign V384298 = V188760. assign V445376 = V741579 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V181835 = V565477. assign V171977 = V509463 + 1. assign V594311 = V334374. assign V106242 = V509463 + 1. assign V341050 = V185515 + 1. assign V361124 = V442624 - 1. assign V240930 = V934712 + 1. assign V076936 = V865272 + 1. assign V615801 = V593031. assign V653454 = V602215 + 1. assign V837689 = V615801 + 1. assign V489000 = V793885 + 1. assign V593031 = V240930 + 1. assign V502740 = V425114 - 1. assign V593754 = V341050 + 1. assign V602215 = V326285 - 1. assign V376109 = V245637 + 1. assign V509463 = V014260 + 1. assign V326285 = V652264 + 1. assign V429306 = V773035 - 1. assign V480540 = V471058 + 1. assign V604116 = V502740. assign V329133 = V093637 - 1. assign V840346 = V509463. assign V899759 = V376109 + 1. assign V813885 = V907915. assign V093637 = V822737 - 1. assign V793885 = V245637. assign V311577 = V865272 - 1. assign V388663 = V041659 + 1. assign V279049 = V445376. assign V245637 = V949022 + 1. assign V767168 = V014260 + 1. assign V933856 = V014260. assign V185515 = V280151. assign V089760 = V425114. assign V725321 = V240930 - 1. assign V163103 = V240930. assign V629152 = V850291 - 1. assign V547769 = V933856 - 1. assign V522017 = V741579. assign V949220 = V547769. assign V471058 = 9. assign V280151 = V489000. assign V933931 = V041659 + 1. assign V425114 = V514192. assign V795042 = V334374 - 1. assign V296942 = V361124 + 1. assign V865272 = V949022 + 1. assign V442624 = V502740 - 1. assign V041659 = V850291 - 1. assign V678232 = V388726 + 1. assign V822737 = V245637. assign V694744 = V245637. assign V357358 = V773035 + 1. assign V862486 = V502740. assign V900701 = V376109 - 1. assign V282990 = V900701 + 1. assign V972680 = V240930. assign V773035 = V967668. assign V105303 = V741579 - 1. assign V218653 = V972680 + 1. assign V518133 = V279049. assign V850291 = V793885. assign V370766 = V898290. assign V907915 = V593031 - 1. assign V514192 = V934712. assign V079060 = V518133. assign V922926 = V793885 - 1. assign V519868 = V509463 - 1. assign V967668 = V922926 + 1. assign V898290 = V334374 + 1. assign V652264 = V793885 - 1. assign V565477 = V514192 + 1. assign V934712 = V949022. assign V741579 = V341050 - 1. assign V833953 = V694744 + 1. assign V014260 = V862486 - 1. assign V388726 = V425114 + 1. assign V453676 = V862486 + 1. assign V308437 = V376109 - 1. assign V712815 = V565477. assign V188760 = V240930. assign V334374 = V934712. assign V384298 = V188760. assign V445376 = V741579 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV471058 = 9;\n\nFrom these direct assignment(s), we have: \nV480540 = V471058 + 1 = 9 + 1 =10;\nNo other variables can be derived from V480540;\nNo other variables can be derived from V471058;\n\nNow we have done all the calculations. Derived variables are:\nV471058 = 9;\nV480540 = 10;\n\nNow we have finished this problem. ANSWER:\nV480540\n", "role": "assistant" } ]

[ "V808167", "V581005" ]

[ { "content": "<context>\nassign V922216 = V104082. assign V299092 = V997341. assign V294582 = V644574 + 1. assign V378660 = V487042. assign V334985 = V335958 - 1. assign V123284 = V715536 + 1. assign V314848 = V555599 - 1. assign V008460 = V803446 + 1. assign V848192 = V580964. assign V916392 = V183796 - 1. assign V183796 = V128675 + 1. assign V191513 = V819808. assign V643866 = V922216 - 1. assign V465260 = V183796 + 1. assign V568822 = V912716 + 1. assign V128675 = V120742 + 1. assign V701583 = V319995 - 1. assign V555599 = V104082 - 1. assign V466104 = V916392 + 1. assign V294877 = V695395. assign V803446 = V641636 - 1. assign V997341 = V681933 + 1. assign V148792 = V299629. assign V254668 = V373652. assign V181995 = V128675. assign V791917 = V702136 + 1. assign V751726 = V819808 - 1. assign V945149 = V641636 - 1. assign V681933 = V294877 - 1. assign V444214 = V770635 + 1. assign V910410 = V487042 - 1. assign V335958 = V120742 + 1. assign V319995 = V555599 + 1. assign V580964 = V308578. assign V368256 = V681933 - 1. assign V941174 = V555599 + 1. assign V644574 = V294877 + 1. assign V695395 = V487042 - 1. assign V329695 = V254668 - 1. assign V387916 = V314848 + 1. assign V104082 = V128675 + 1. assign V092045 = V000448 + 1. assign V802340 = V444214. assign V444145 = V364108 - 1. assign V581005 = V808167. assign V674872 = V641636 + 1. assign V202778 = V387916 - 1. assign V584248 = V476653 + 1. assign V641636 = V128675. assign V476653 = V183796. assign V666493 = V555599 - 1. assign V299629 = V910410 + 1. assign V989578 = V641636. assign V200995 = V644574 + 1. assign V887027 = V183796. assign V033757 = V910410. assign V244882 = V702136 - 1. assign V364108 = V183796 + 1. assign V912716 = V000448 + 1. assign V010136 = V465260 + 1. assign V380653 = V568822 - 1. assign V906092 = V666493. assign V105509 = V941174 + 1. assign V003125 = V120742. assign V819808 = V003125. assign V808167 = 0. assign V086442 = V476653 + 1. assign V170732 = V003125. assign V421740 = V555599. assign V714424 = V038912 - 1. assign V702136 = V916392 + 1. assign V519449 = V459474 - 1. assign V602488 = V465260. assign V552448 = V104082. assign V000448 = V120742 - 1. assign V308578 = V910410 - 1. assign V038912 = V641636 + 1. assign V715536 = V465260 + 1. assign V487042 = V641636. assign V093642 = V380653 - 1. assign V459474 = V681933 + 1. assign V373652 = V128675 - 1. assign V770635 = V695395 - 1. assign V669470 = V476653 - 1. assign V876418 = V487042 - 1. assign V770523 = V681933.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V922216 = V104082. assign V299092 = V997341. assign V294582 = V644574 + 1. assign V378660 = V487042. assign V334985 = V335958 - 1. assign V123284 = V715536 + 1. assign V314848 = V555599 - 1. assign V008460 = V803446 + 1. assign V848192 = V580964. assign V916392 = V183796 - 1. assign V183796 = V128675 + 1. assign V191513 = V819808. assign V643866 = V922216 - 1. assign V465260 = V183796 + 1. assign V568822 = V912716 + 1. assign V128675 = V120742 + 1. assign V701583 = V319995 - 1. assign V555599 = V104082 - 1. assign V466104 = V916392 + 1. assign V294877 = V695395. assign V803446 = V641636 - 1. assign V997341 = V681933 + 1. assign V148792 = V299629. assign V254668 = V373652. assign V181995 = V128675. assign V791917 = V702136 + 1. assign V751726 = V819808 - 1. assign V945149 = V641636 - 1. assign V681933 = V294877 - 1. assign V444214 = V770635 + 1. assign V910410 = V487042 - 1. assign V335958 = V120742 + 1. assign V319995 = V555599 + 1. assign V580964 = V308578. assign V368256 = V681933 - 1. assign V941174 = V555599 + 1. assign V644574 = V294877 + 1. assign V695395 = V487042 - 1. assign V329695 = V254668 - 1. assign V387916 = V314848 + 1. assign V104082 = V128675 + 1. assign V092045 = V000448 + 1. assign V802340 = V444214. assign V444145 = V364108 - 1. assign V581005 = V808167. assign V674872 = V641636 + 1. assign V202778 = V387916 - 1. assign V584248 = V476653 + 1. assign V641636 = V128675. assign V476653 = V183796. assign V666493 = V555599 - 1. assign V299629 = V910410 + 1. assign V989578 = V641636. assign V200995 = V644574 + 1. assign V887027 = V183796. assign V033757 = V910410. assign V244882 = V702136 - 1. assign V364108 = V183796 + 1. assign V912716 = V000448 + 1. assign V010136 = V465260 + 1. assign V380653 = V568822 - 1. assign V906092 = V666493. assign V105509 = V941174 + 1. assign V003125 = V120742. assign V819808 = V003125. assign V808167 = 0. assign V086442 = V476653 + 1. assign V170732 = V003125. assign V421740 = V555599. assign V714424 = V038912 - 1. assign V702136 = V916392 + 1. assign V519449 = V459474 - 1. assign V602488 = V465260. assign V552448 = V104082. assign V000448 = V120742 - 1. assign V308578 = V910410 - 1. assign V038912 = V641636 + 1. assign V715536 = V465260 + 1. assign V487042 = V641636. assign V093642 = V380653 - 1. assign V459474 = V681933 + 1. assign V373652 = V128675 - 1. assign V770635 = V695395 - 1. assign V669470 = V476653 - 1. assign V876418 = V487042 - 1. assign V770523 = V681933.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV808167 = 0;\n\nFrom these direct assignment(s), we have: \nV581005 = V808167 = 0;\nNo other variables can be derived from V581005;\nNo other variables can be derived from V808167;\n\nNow we have done all the calculations. Derived variables are:\nV808167 = 0;\nV581005 = 0;\n\nNow we have finished this problem. ANSWER:\nV808167, V581005\n", "role": "assistant" } ]

[ "V101906" ]

[ { "content": "<context>\nassign V559017 = V225113 - 1. assign V347748 = 7. assign V693125 = V941669 + 1. assign V367918 = V004024 - 1. assign V012695 = V949091. assign V675601 = V350458. assign V392500 = V229977 + 1. assign V824628 = V009381. assign V226104 = V003249. assign V269722 = V331498 + 1. assign V918192 = V798327 - 1. assign V871047 = V949091 - 1. assign V886005 = V227799 - 1. assign V427483 = V012695. assign V180598 = V666770 + 1. assign V932304 = V796490. assign V813054 = V551050 - 1. assign V924726 = V192144 - 1. assign V777189 = V949091 + 1. assign V858877 = V871047 + 1. assign V642236 = V902920 + 1. assign V537516 = V597347 - 1. assign V513271 = V192144. assign V009381 = V798327 + 1. assign V045858 = V670925 + 1. assign V798327 = V648415 + 1. assign V677972 = V331498 - 1. assign V984091 = V094754 - 1. assign V854473 = V649233 - 1. assign V337333 = V012695 - 1. assign V481473 = V902920. assign V864391 = V677972 - 1. assign V440771 = V331498 + 1. assign V834787 = V747194 - 1. assign V989966 = V886005. assign V142996 = V649233. assign V350458 = V045858. assign V871855 = V012695. assign V331498 = V670925 + 1. assign V003249 = V733629 - 1. assign V004024 = V941669 + 1. assign V648415 = V289253. assign V811985 = V350458 + 1. assign V540889 = V096420 + 1. assign V733629 = V289253 - 1. assign V192144 = V289253 - 1. assign V348880 = V886005 - 1. assign V289253 = V871047. assign V774424 = V932304 - 1. assign V225113 = V045858. assign V837022 = V506001 + 1. assign V229977 = V269722. assign V342060 = V096420. assign V004827 = V949091 - 1. assign V489298 = V289253 + 1. assign V817430 = V858877. assign V597347 = V871047. assign V188162 = V269722 + 1. assign V665309 = V921576 + 1. assign V227799 = V949091 - 1. assign V620844 = V720834. assign V365878 = V551050. assign V794408 = V481473 - 1. assign V498016 = V834787 - 1. assign V973406 = V045858 - 1. assign V968057 = V348880 - 1. assign V096420 = V192144 - 1. assign V793977 = V949091. assign V551050 = V871855 + 1. assign V747194 = V871047. assign V921576 = V966656 + 1. assign V670925 = V949091. assign V649233 = V966656 - 1. assign V966656 = V670925. assign V796490 = V693125 - 1. assign V717412 = V337333 + 1. assign V902920 = V045858 + 1. assign V356041 = V834787 + 1. assign V720834 = V649233. assign V506001 = V337333 + 1. assign V941669 = V227799 - 1. assign V666770 = V004827 - 1. assign V238460 = V012695 - 1. assign V715778 = V226104 - 1. assign V094754 = V675601. assign V101906 = V347748 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V559017 = V225113 - 1. assign V347748 = 7. assign V693125 = V941669 + 1. assign V367918 = V004024 - 1. assign V012695 = V949091. assign V675601 = V350458. assign V392500 = V229977 + 1. assign V824628 = V009381. assign V226104 = V003249. assign V269722 = V331498 + 1. assign V918192 = V798327 - 1. assign V871047 = V949091 - 1. assign V886005 = V227799 - 1. assign V427483 = V012695. assign V180598 = V666770 + 1. assign V932304 = V796490. assign V813054 = V551050 - 1. assign V924726 = V192144 - 1. assign V777189 = V949091 + 1. assign V858877 = V871047 + 1. assign V642236 = V902920 + 1. assign V537516 = V597347 - 1. assign V513271 = V192144. assign V009381 = V798327 + 1. assign V045858 = V670925 + 1. assign V798327 = V648415 + 1. assign V677972 = V331498 - 1. assign V984091 = V094754 - 1. assign V854473 = V649233 - 1. assign V337333 = V012695 - 1. assign V481473 = V902920. assign V864391 = V677972 - 1. assign V440771 = V331498 + 1. assign V834787 = V747194 - 1. assign V989966 = V886005. assign V142996 = V649233. assign V350458 = V045858. assign V871855 = V012695. assign V331498 = V670925 + 1. assign V003249 = V733629 - 1. assign V004024 = V941669 + 1. assign V648415 = V289253. assign V811985 = V350458 + 1. assign V540889 = V096420 + 1. assign V733629 = V289253 - 1. assign V192144 = V289253 - 1. assign V348880 = V886005 - 1. assign V289253 = V871047. assign V774424 = V932304 - 1. assign V225113 = V045858. assign V837022 = V506001 + 1. assign V229977 = V269722. assign V342060 = V096420. assign V004827 = V949091 - 1. assign V489298 = V289253 + 1. assign V817430 = V858877. assign V597347 = V871047. assign V188162 = V269722 + 1. assign V665309 = V921576 + 1. assign V227799 = V949091 - 1. assign V620844 = V720834. assign V365878 = V551050. assign V794408 = V481473 - 1. assign V498016 = V834787 - 1. assign V973406 = V045858 - 1. assign V968057 = V348880 - 1. assign V096420 = V192144 - 1. assign V793977 = V949091. assign V551050 = V871855 + 1. assign V747194 = V871047. assign V921576 = V966656 + 1. assign V670925 = V949091. assign V649233 = V966656 - 1. assign V966656 = V670925. assign V796490 = V693125 - 1. assign V717412 = V337333 + 1. assign V902920 = V045858 + 1. assign V356041 = V834787 + 1. assign V720834 = V649233. assign V506001 = V337333 + 1. assign V941669 = V227799 - 1. assign V666770 = V004827 - 1. assign V238460 = V012695 - 1. assign V715778 = V226104 - 1. assign V094754 = V675601. assign V101906 = V347748 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV347748 = 7;\n\nFrom these direct assignment(s), we have: \nV101906 = V347748 - 1 = 7 - 1 =6;\nNo other variables can be derived from V101906;\nNo other variables can be derived from V347748;\n\nNow we have done all the calculations. Derived variables are:\nV347748 = 7;\nV101906 = 6;\n\nNow we have finished this problem. ANSWER:\nV101906\n", "role": "assistant" } ]

[ "V733854" ]

[ { "content": "<context>\nassign V122893 = V474791 - 1. assign V297897 = V143443 - 1. assign V555540 = V143443 - 1. assign V484888 = V779276. assign V864179 = V848890 + 1. assign V972774 = V310315 + 1. assign V662457 = V044997 + 1. assign V607435 = V761179. assign V804064 = V779276 + 1. assign V965192 = V931729 - 1. assign V658193 = V225120 - 1. assign V528894 = V759091. assign V665631 = V965192 + 1. assign V439431 = V044997 - 1. assign V857552 = V151108 - 1. assign V013941 = V602786. assign V761179 = V759091 + 1. assign V863610 = V310315 + 1. assign V475248 = V804064 + 1. assign V770861 = V864179 + 1. assign V678371 = V104523 + 1. assign V529397 = V658193 + 1. assign V041906 = V863610. assign V928927 = V607017 + 1. assign V494479 = V694741 - 1. assign V812767 = V528894. assign V597817 = V658193 + 1. assign V784531 = V931729 - 1. assign V460241 = V439431. assign V790963 = V911919 - 1. assign V731377 = V013089 - 1. assign V785763 = V658193 - 1. assign V104523 = V044997 - 1. assign V911919 = V310315. assign V471143 = V863610 - 1. assign V198551 = V602786 - 1. assign V540886 = V911919 + 1. assign V493516 = V143443 + 1. assign V779276 = V044997 + 1. assign V456634 = V911919. assign V997106 = V529397 - 1. assign V176446 = V972774 + 1. assign V310315 = V044997. assign V445193 = V143443 - 1. assign V078153 = V972774 + 1. assign V898311 = V804064 + 1. assign V638803 = V496550 - 1. assign V848890 = V288259. assign V029173 = V225971. assign V931729 = V602786. assign V036358 = V597817 + 1. assign V963276 = V044997 - 1. assign V697603 = V512732 + 1. assign V151108 = V804064. assign V712019 = V288259 + 1. assign V884092 = V445193 + 1. assign V104569 = V761179. assign V109112 = V540886 + 1. assign V666763 = V288259 - 1. assign V166024 = V176446 - 1. assign V892532 = V928927 - 1. assign V829334 = V445193 + 1. assign V958332 = 8. assign V044997 = V602786 + 1. assign V537669 = V597817 + 1. assign V512732 = V529397 + 1. assign V522658 = V512732 + 1. assign V607017 = V804064. assign V143443 = V078153 - 1. assign V525793 = V122893. assign V773400 = V529397 + 1. assign V474791 = V658193. assign V694741 = V602786 - 1. assign V033395 = V785763 - 1. assign V288259 = V471143 + 1. assign V977641 = V484888 + 1. assign V759091 = V602786 - 1. assign V004377 = V773400 - 1. assign V013089 = V288259. assign V225971 = V198551 + 1. assign V388732 = V151108 - 1. assign V496550 = V493516 + 1. assign V225120 = V044997 + 1. assign V733854 = V958332 - 1. assign V729366 = V804064. assign V155670 = V697603.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V122893 = V474791 - 1. assign V297897 = V143443 - 1. assign V555540 = V143443 - 1. assign V484888 = V779276. assign V864179 = V848890 + 1. assign V972774 = V310315 + 1. assign V662457 = V044997 + 1. assign V607435 = V761179. assign V804064 = V779276 + 1. assign V965192 = V931729 - 1. assign V658193 = V225120 - 1. assign V528894 = V759091. assign V665631 = V965192 + 1. assign V439431 = V044997 - 1. assign V857552 = V151108 - 1. assign V013941 = V602786. assign V761179 = V759091 + 1. assign V863610 = V310315 + 1. assign V475248 = V804064 + 1. assign V770861 = V864179 + 1. assign V678371 = V104523 + 1. assign V529397 = V658193 + 1. assign V041906 = V863610. assign V928927 = V607017 + 1. assign V494479 = V694741 - 1. assign V812767 = V528894. assign V597817 = V658193 + 1. assign V784531 = V931729 - 1. assign V460241 = V439431. assign V790963 = V911919 - 1. assign V731377 = V013089 - 1. assign V785763 = V658193 - 1. assign V104523 = V044997 - 1. assign V911919 = V310315. assign V471143 = V863610 - 1. assign V198551 = V602786 - 1. assign V540886 = V911919 + 1. assign V493516 = V143443 + 1. assign V779276 = V044997 + 1. assign V456634 = V911919. assign V997106 = V529397 - 1. assign V176446 = V972774 + 1. assign V310315 = V044997. assign V445193 = V143443 - 1. assign V078153 = V972774 + 1. assign V898311 = V804064 + 1. assign V638803 = V496550 - 1. assign V848890 = V288259. assign V029173 = V225971. assign V931729 = V602786. assign V036358 = V597817 + 1. assign V963276 = V044997 - 1. assign V697603 = V512732 + 1. assign V151108 = V804064. assign V712019 = V288259 + 1. assign V884092 = V445193 + 1. assign V104569 = V761179. assign V109112 = V540886 + 1. assign V666763 = V288259 - 1. assign V166024 = V176446 - 1. assign V892532 = V928927 - 1. assign V829334 = V445193 + 1. assign V958332 = 8. assign V044997 = V602786 + 1. assign V537669 = V597817 + 1. assign V512732 = V529397 + 1. assign V522658 = V512732 + 1. assign V607017 = V804064. assign V143443 = V078153 - 1. assign V525793 = V122893. assign V773400 = V529397 + 1. assign V474791 = V658193. assign V694741 = V602786 - 1. assign V033395 = V785763 - 1. assign V288259 = V471143 + 1. assign V977641 = V484888 + 1. assign V759091 = V602786 - 1. assign V004377 = V773400 - 1. assign V013089 = V288259. assign V225971 = V198551 + 1. assign V388732 = V151108 - 1. assign V496550 = V493516 + 1. assign V225120 = V044997 + 1. assign V733854 = V958332 - 1. assign V729366 = V804064. assign V155670 = V697603.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV958332 = 8;\n\nFrom these direct assignment(s), we have: \nV733854 = V958332 - 1 = 8 - 1 =7;\nNo other variables can be derived from V733854;\nNo other variables can be derived from V958332;\n\nNow we have done all the calculations. Derived variables are:\nV958332 = 8;\nV733854 = 7;\n\nNow we have finished this problem. ANSWER:\nV733854\n", "role": "assistant" } ]

[ "V410801" ]

[ { "content": "<context>\nassign V982392 = V306360 - 1. assign V509493 = V655337 - 1. assign V789107 = V504374 - 1. assign V656253 = V654300 + 1. assign V311724 = V634704 + 1. assign V172644 = V556628 + 1. assign V246734 = V556628 - 1. assign V042300 = V243473 - 1. assign V892409 = V071517. assign V306360 = V173890 - 1. assign V534882 = V927850. assign V872024 = V236039 - 1. assign V815743 = V556628 + 1. assign V949766 = V843749 + 1. assign V285327 = V239987 + 1. assign V418490 = V215022 - 1. assign V272164 = V556628 - 1. assign V088887 = V165519. assign V556628 = V654300 + 1. assign V476653 = V100186 - 1. assign V051867 = V196079 - 1. assign V632108 = V173890. assign V287402 = V654300 + 1. assign V737855 = V897024 + 1. assign V390241 = V183350. assign V926104 = V168525 - 1. assign V218372 = V556628 - 1. assign V211164 = V656253 - 1. assign V393833 = V196079. assign V843749 = V006885 - 1. assign V046019 = V927850 + 1. assign V860980 = V650019 + 1. assign V517344 = V221697 - 1. assign V087544 = V696080 - 1. assign V168525 = V509493. assign V183350 = V758199 + 1. assign V391354 = V071517 - 1. assign V929019 = V036845 - 1. assign V236039 = V815743 + 1. assign V239987 = V654300 + 1. assign V538762 = V504374 + 1. assign V504374 = V455151 + 1. assign V071517 = V165519 + 1. assign V696080 = V243473. assign V551856 = V218372 + 1. assign V038438 = V306360 + 1. assign V634704 = V853946. assign V237110 = V380669 + 1. assign V646599 = V173890. assign V139142 = 7. assign V103126 = V634704 - 1. assign V476605 = V668829 - 1. assign V994660 = V454999 - 1. assign V758199 = V173890. assign V380669 = V809192 - 1. assign V476091 = V287402 + 1. assign V319274 = V455151 - 1. assign V196079 = V696080 + 1. assign V243473 = V173890 - 1. assign V215022 = V758199 + 1. assign V410801 = V139142 - 1. assign V006885 = V758199. assign V068966 = V517344 - 1. assign V165519 = V455151 + 1. assign V100186 = V173890 + 1. assign V655337 = V319274 + 1. assign V294328 = V196079. assign V454999 = V006885 - 1. assign V641080 = V926104. assign V455151 = V173890 + 1. assign V897024 = V843749 + 1. assign V853946 = V173890 + 1. assign V668829 = V038438 - 1. assign V221697 = V758199 + 1. assign V654300 = V221697. assign V807615 = V129112 - 1. assign V112770 = V196079 + 1. assign V036845 = V173890. assign V297034 = V319274 - 1. assign V650019 = V556628 - 1. assign V129112 = V634704 - 1. assign V927850 = V809192 - 1. assign V666682 = V804040 + 1. assign V809192 = V632108. assign V789006 = V218372 + 1. assign V804040 = V006885 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V982392 = V306360 - 1. assign V509493 = V655337 - 1. assign V789107 = V504374 - 1. assign V656253 = V654300 + 1. assign V311724 = V634704 + 1. assign V172644 = V556628 + 1. assign V246734 = V556628 - 1. assign V042300 = V243473 - 1. assign V892409 = V071517. assign V306360 = V173890 - 1. assign V534882 = V927850. assign V872024 = V236039 - 1. assign V815743 = V556628 + 1. assign V949766 = V843749 + 1. assign V285327 = V239987 + 1. assign V418490 = V215022 - 1. assign V272164 = V556628 - 1. assign V088887 = V165519. assign V556628 = V654300 + 1. assign V476653 = V100186 - 1. assign V051867 = V196079 - 1. assign V632108 = V173890. assign V287402 = V654300 + 1. assign V737855 = V897024 + 1. assign V390241 = V183350. assign V926104 = V168525 - 1. assign V218372 = V556628 - 1. assign V211164 = V656253 - 1. assign V393833 = V196079. assign V843749 = V006885 - 1. assign V046019 = V927850 + 1. assign V860980 = V650019 + 1. assign V517344 = V221697 - 1. assign V087544 = V696080 - 1. assign V168525 = V509493. assign V183350 = V758199 + 1. assign V391354 = V071517 - 1. assign V929019 = V036845 - 1. assign V236039 = V815743 + 1. assign V239987 = V654300 + 1. assign V538762 = V504374 + 1. assign V504374 = V455151 + 1. assign V071517 = V165519 + 1. assign V696080 = V243473. assign V551856 = V218372 + 1. assign V038438 = V306360 + 1. assign V634704 = V853946. assign V237110 = V380669 + 1. assign V646599 = V173890. assign V139142 = 7. assign V103126 = V634704 - 1. assign V476605 = V668829 - 1. assign V994660 = V454999 - 1. assign V758199 = V173890. assign V380669 = V809192 - 1. assign V476091 = V287402 + 1. assign V319274 = V455151 - 1. assign V196079 = V696080 + 1. assign V243473 = V173890 - 1. assign V215022 = V758199 + 1. assign V410801 = V139142 - 1. assign V006885 = V758199. assign V068966 = V517344 - 1. assign V165519 = V455151 + 1. assign V100186 = V173890 + 1. assign V655337 = V319274 + 1. assign V294328 = V196079. assign V454999 = V006885 - 1. assign V641080 = V926104. assign V455151 = V173890 + 1. assign V897024 = V843749 + 1. assign V853946 = V173890 + 1. assign V668829 = V038438 - 1. assign V221697 = V758199 + 1. assign V654300 = V221697. assign V807615 = V129112 - 1. assign V112770 = V196079 + 1. assign V036845 = V173890. assign V297034 = V319274 - 1. assign V650019 = V556628 - 1. assign V129112 = V634704 - 1. assign V927850 = V809192 - 1. assign V666682 = V804040 + 1. assign V809192 = V632108. assign V789006 = V218372 + 1. assign V804040 = V006885 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV139142 = 7;\n\nFrom these direct assignment(s), we have: \nV410801 = V139142 - 1 = 7 - 1 =6;\nNo other variables can be derived from V410801;\nNo other variables can be derived from V139142;\n\nNow we have done all the calculations. Derived variables are:\nV139142 = 7;\nV410801 = 6;\n\nNow we have finished this problem. ANSWER:\nV410801\n", "role": "assistant" } ]

[ "V799370", "V620934" ]

[ { "content": "<context>\nassign V643618 = V072254. assign V300925 = V510003. assign V548256 = V004739. assign V345251 = V254461. assign V971846 = V523350. assign V556828 = V265509. assign V521919 = V269928. assign V225832 = V923855. assign V366097 = V521919. assign V919859 = V065084 - 1. assign V736847 = V057285. assign V254461 = V065084. assign V315489 = V882631 - 1. assign V298436 = V031195 + 1. assign V993745 = V000602. assign V016881 = V225832 - 1. assign V312170 = V835489 + 1. assign V670006 = V882631 - 1. assign V740528 = V523350 - 1. assign V938780 = V345251 + 1. assign V382883 = V257807 - 1. assign V039356 = V331269. assign V238096 = V521919. assign V000602 = V225832 + 1. assign V856312 = V693563. assign V264055 = V536147 + 1. assign V257807 = V882631 - 1. assign V604412 = V668899 + 1. assign V541662 = V331269. assign V055369 = V317186 - 1. assign V454680 = V366097. assign V277377 = V065084 + 1. assign V651059 = V269928 + 1. assign V523350 = V269928 - 1. assign V835489 = V366097. assign V011002 = V510003 - 1. assign V998513 = V354394 - 1. assign V068346 = V668899 - 1. assign V057285 = V031195. assign V358797 = V835489 - 1. assign V243391 = V345251 - 1. assign V836418 = V736847 - 1. assign V164400 = V446864 - 1. assign V810509 = V072254 - 1. assign V345077 = V919859 + 1. assign V255524 = V521919. assign V990241 = V736847. assign V510003 = V269928. assign V032000 = V882631 - 1. assign V065084 = V521919. assign V799370 = 10. assign V031195 = V269928 + 1. assign V059300 = V057285 + 1. assign V620934 = V799370. assign V668899 = V254461 - 1. assign V302012 = V243391 + 1. assign V072254 = V269928 - 1. assign V398418 = V784075 - 1. assign V577482 = V298436 - 1. assign V778599 = V269928. assign V979968 = V315489. assign V005613 = V314784 + 1. assign V162030 = V541662 - 1. assign V478371 = V454680 + 1. assign V314784 = V510003 + 1. assign V693563 = V366097 + 1. assign V784075 = V269928 - 1. assign V221187 = V835489. assign V128183 = V255524 - 1. assign V923855 = V882631 - 1. assign V536147 = V971846 - 1. assign V446864 = V032000. assign V265509 = V919859 - 1. assign V038820 = V057285 - 1. assign V290374 = V031195. assign V331269 = V998513. assign V317186 = V366097 - 1. assign V189144 = V315489 - 1. assign V171562 = V354394 - 1. assign V395437 = V810509 + 1. assign V827289 = V778599 + 1. assign V288137 = V317186. assign V552148 = V265509 - 1. assign V882631 = V523350 + 1. assign V004739 = V314784 + 1. assign V354394 = V510003.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V643618 = V072254. assign V300925 = V510003. assign V548256 = V004739. assign V345251 = V254461. assign V971846 = V523350. assign V556828 = V265509. assign V521919 = V269928. assign V225832 = V923855. assign V366097 = V521919. assign V919859 = V065084 - 1. assign V736847 = V057285. assign V254461 = V065084. assign V315489 = V882631 - 1. assign V298436 = V031195 + 1. assign V993745 = V000602. assign V016881 = V225832 - 1. assign V312170 = V835489 + 1. assign V670006 = V882631 - 1. assign V740528 = V523350 - 1. assign V938780 = V345251 + 1. assign V382883 = V257807 - 1. assign V039356 = V331269. assign V238096 = V521919. assign V000602 = V225832 + 1. assign V856312 = V693563. assign V264055 = V536147 + 1. assign V257807 = V882631 - 1. assign V604412 = V668899 + 1. assign V541662 = V331269. assign V055369 = V317186 - 1. assign V454680 = V366097. assign V277377 = V065084 + 1. assign V651059 = V269928 + 1. assign V523350 = V269928 - 1. assign V835489 = V366097. assign V011002 = V510003 - 1. assign V998513 = V354394 - 1. assign V068346 = V668899 - 1. assign V057285 = V031195. assign V358797 = V835489 - 1. assign V243391 = V345251 - 1. assign V836418 = V736847 - 1. assign V164400 = V446864 - 1. assign V810509 = V072254 - 1. assign V345077 = V919859 + 1. assign V255524 = V521919. assign V990241 = V736847. assign V510003 = V269928. assign V032000 = V882631 - 1. assign V065084 = V521919. assign V799370 = 10. assign V031195 = V269928 + 1. assign V059300 = V057285 + 1. assign V620934 = V799370. assign V668899 = V254461 - 1. assign V302012 = V243391 + 1. assign V072254 = V269928 - 1. assign V398418 = V784075 - 1. assign V577482 = V298436 - 1. assign V778599 = V269928. assign V979968 = V315489. assign V005613 = V314784 + 1. assign V162030 = V541662 - 1. assign V478371 = V454680 + 1. assign V314784 = V510003 + 1. assign V693563 = V366097 + 1. assign V784075 = V269928 - 1. assign V221187 = V835489. assign V128183 = V255524 - 1. assign V923855 = V882631 - 1. assign V536147 = V971846 - 1. assign V446864 = V032000. assign V265509 = V919859 - 1. assign V038820 = V057285 - 1. assign V290374 = V031195. assign V331269 = V998513. assign V317186 = V366097 - 1. assign V189144 = V315489 - 1. assign V171562 = V354394 - 1. assign V395437 = V810509 + 1. assign V827289 = V778599 + 1. assign V288137 = V317186. assign V552148 = V265509 - 1. assign V882631 = V523350 + 1. assign V004739 = V314784 + 1. assign V354394 = V510003.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV799370 = 10;\n\nFrom these direct assignment(s), we have: \nV620934 = V799370 = 10;\nNo other variables can be derived from V620934;\nNo other variables can be derived from V799370;\n\nNow we have done all the calculations. Derived variables are:\nV799370 = 10;\nV620934 = 10;\n\nNow we have finished this problem. ANSWER:\nV799370, V620934\n", "role": "assistant" } ]

[ "V754550" ]

[ { "content": "<context>\nassign V073002 = V385898 - 1. assign V433214 = V363390 + 1. assign V739014 = V649210 + 1. assign V828496 = V943774 + 1. assign V552111 = V852551 + 1. assign V385898 = V223427 + 1. assign V763500 = V627657. assign V169899 = V048936 - 1. assign V920922 = V943774 + 1. assign V804580 = V855419 - 1. assign V535442 = V433214 - 1. assign V004230 = V552111. assign V223427 = V627657. assign V341475 = V846329 - 1. assign V197339 = V649210 - 1. assign V143060 = V661329 + 1. assign V943774 = V363390. assign V513344 = V943774 - 1. assign V822841 = V614854 + 1. assign V378038 = V627657 - 1. assign V299767 = V421472 + 1. assign V507380 = V661329. assign V322049 = V643790 - 1. assign V696577 = V870133 + 1. assign V734270 = V846329. assign V598314 = V729611. assign V323626 = V085590 + 1. assign V643790 = V363390 + 1. assign V554835 = V828496. assign V048936 = V149274 - 1. assign V032698 = V870133 + 1. assign V265660 = V143060 + 1. assign V728574 = V456524. assign V458018 = V299767 - 1. assign V634512 = V385898 - 1. assign V456524 = V149274. assign V553272 = V754550 + 1. assign V186318 = V643790 - 1. assign V480914 = V433214 + 1. assign V741774 = V870133 - 1. assign V243005 = V643790 - 1. assign V840723 = V243005 - 1. assign V270385 = V855419 - 1. assign V876745 = V513344. assign V729611 = V186318. assign V747398 = V186318 - 1. assign V156609 = V696577. assign V800961 = V361961 + 1. assign V085590 = V661329 + 1. assign V163041 = V156609 + 1. assign V361961 = V852551. assign V937919 = V627657 - 1. assign V138138 = V846329 - 1. assign V702603 = V299767 - 1. assign V498820 = V535442. assign V149274 = V385898 - 1. assign V627657 = V363390 + 1. assign V661329 = V846329. assign V854281 = V378038 + 1. assign V843797 = V527998. assign V679394 = V392567 + 1. assign V392567 = V507380 + 1. assign V846329 = V854281 - 1. assign V754550 = 5. assign V614854 = V480914 + 1. assign V319304 = V840723 + 1. assign V075147 = V279500. assign V459964 = V614854. assign V279500 = V870133 + 1. assign V015318 = V378038 - 1. assign V870133 = V943774 - 1. assign V649210 = V696577 - 1. assign V603846 = V614854 + 1. assign V527998 = V627657 + 1. assign V855419 = V378038 + 1. assign V852551 = V480914 - 1. assign V735851 = V854281. assign V560318 = V149274 - 1. assign V117693 = V015318 - 1. assign V248991 = V143060 + 1. assign V776951 = V073002 + 1. assign V944423 = V363390 + 1. assign V421472 = V603846. assign V060872 = V378038 + 1. assign V068291 = V433214 + 1. assign V541319 = V048936 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V073002 = V385898 - 1. assign V433214 = V363390 + 1. assign V739014 = V649210 + 1. assign V828496 = V943774 + 1. assign V552111 = V852551 + 1. assign V385898 = V223427 + 1. assign V763500 = V627657. assign V169899 = V048936 - 1. assign V920922 = V943774 + 1. assign V804580 = V855419 - 1. assign V535442 = V433214 - 1. assign V004230 = V552111. assign V223427 = V627657. assign V341475 = V846329 - 1. assign V197339 = V649210 - 1. assign V143060 = V661329 + 1. assign V943774 = V363390. assign V513344 = V943774 - 1. assign V822841 = V614854 + 1. assign V378038 = V627657 - 1. assign V299767 = V421472 + 1. assign V507380 = V661329. assign V322049 = V643790 - 1. assign V696577 = V870133 + 1. assign V734270 = V846329. assign V598314 = V729611. assign V323626 = V085590 + 1. assign V643790 = V363390 + 1. assign V554835 = V828496. assign V048936 = V149274 - 1. assign V032698 = V870133 + 1. assign V265660 = V143060 + 1. assign V728574 = V456524. assign V458018 = V299767 - 1. assign V634512 = V385898 - 1. assign V456524 = V149274. assign V553272 = V754550 + 1. assign V186318 = V643790 - 1. assign V480914 = V433214 + 1. assign V741774 = V870133 - 1. assign V243005 = V643790 - 1. assign V840723 = V243005 - 1. assign V270385 = V855419 - 1. assign V876745 = V513344. assign V729611 = V186318. assign V747398 = V186318 - 1. assign V156609 = V696577. assign V800961 = V361961 + 1. assign V085590 = V661329 + 1. assign V163041 = V156609 + 1. assign V361961 = V852551. assign V937919 = V627657 - 1. assign V138138 = V846329 - 1. assign V702603 = V299767 - 1. assign V498820 = V535442. assign V149274 = V385898 - 1. assign V627657 = V363390 + 1. assign V661329 = V846329. assign V854281 = V378038 + 1. assign V843797 = V527998. assign V679394 = V392567 + 1. assign V392567 = V507380 + 1. assign V846329 = V854281 - 1. assign V754550 = 5. assign V614854 = V480914 + 1. assign V319304 = V840723 + 1. assign V075147 = V279500. assign V459964 = V614854. assign V279500 = V870133 + 1. assign V015318 = V378038 - 1. assign V870133 = V943774 - 1. assign V649210 = V696577 - 1. assign V603846 = V614854 + 1. assign V527998 = V627657 + 1. assign V855419 = V378038 + 1. assign V852551 = V480914 - 1. assign V735851 = V854281. assign V560318 = V149274 - 1. assign V117693 = V015318 - 1. assign V248991 = V143060 + 1. assign V776951 = V073002 + 1. assign V944423 = V363390 + 1. assign V421472 = V603846. assign V060872 = V378038 + 1. assign V068291 = V433214 + 1. assign V541319 = V048936 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV754550 = 5;\n\nFrom these direct assignment(s), we have: \nV553272 = V754550 + 1 = 5 + 1 =6;\nNo other variables can be derived from V553272;\nNo other variables can be derived from V754550;\n\nNow we have done all the calculations. Derived variables are:\nV754550 = 5;\nV553272 = 6;\n\nNow we have finished this problem. ANSWER:\nV754550\n", "role": "assistant" } ]

[ "V120642" ]

[ { "content": "<context>\nassign V212274 = V763106 - 1. assign V601644 = V352194 - 1. assign V156553 = V142681 - 1. assign V989190 = V861642. assign V784184 = V142681 - 1. assign V043857 = V286157 + 1. assign V542942 = V578897 + 1. assign V502251 = V763106. assign V533043 = V433124. assign V890252 = V096867 - 1. assign V335711 = V038057 + 1. assign V419203 = V355148. assign V181019 = V142681. assign V433124 = V072542. assign V433409 = V175971. assign V315483 = V763106. assign V557883 = V212274. assign V000932 = V096867. assign V414670 = V909058 + 1. assign V381743 = V038057 + 1. assign V252273 = V000932 + 1. assign V898967 = V362619 + 1. assign V237202 = V209359. assign V175971 = V725680 - 1. assign V949542 = V142681. assign V038057 = V898624 - 1. assign V489572 = V949542. assign V072542 = V898624 - 1. assign V725680 = V898624 + 1. assign V861642 = V763106 - 1. assign V859503 = V607371 + 1. assign V607371 = V949542 + 1. assign V280793 = V578897 + 1. assign V199387 = V859503 + 1. assign V610430 = V072542 + 1. assign V481427 = V454602 - 1. assign V559935 = 5. assign V120642 = V559935 - 1. assign V901959 = V948830. assign V352194 = V763106 - 1. assign V154659 = V286157. assign V862825 = V212274 + 1. assign V173308 = V238013 + 1. assign V005883 = V602313 - 1. assign V662937 = V043857. assign V142681 = V502251 + 1. assign V970546 = V096867 - 1. assign V984167 = V590747 + 1. assign V286638 = V015671. assign V490068 = V502251. assign V096867 = V238013. assign V379478 = V784184 - 1. assign V909058 = V502251 - 1. assign V362619 = V578897 - 1. assign V086424 = V898624 + 1. assign V454602 = V590747. assign V238013 = V015671 + 1. assign V240263 = V590747 + 1. assign V540859 = V181019. assign V590747 = V038057. assign V010027 = V951191 - 1. assign V736750 = V212274 - 1. assign V776574 = V602313 - 1. assign V292550 = V341926 - 1. assign V622821 = V763106 - 1. assign V948830 = V015671 + 1. assign V209359 = V072903 - 1. assign V286157 = V489572 + 1. assign V951191 = V502251 - 1. assign V793712 = V859503. assign V879605 = V156553. assign V602313 = V862825 + 1. assign V898624 = V763106. assign V681679 = V542942 + 1. assign V371919 = V602313. assign V310496 = V948830. assign V225532 = V590747. assign V001547 = V199387 - 1. assign V355148 = V949542 - 1. assign V728243 = V096867 - 1. assign V579242 = V861642 + 1. assign V687778 = V951191 - 1. assign V072903 = V601644. assign V015671 = V859503. assign V341926 = V607371 + 1. assign V578897 = V540859 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V212274 = V763106 - 1. assign V601644 = V352194 - 1. assign V156553 = V142681 - 1. assign V989190 = V861642. assign V784184 = V142681 - 1. assign V043857 = V286157 + 1. assign V542942 = V578897 + 1. assign V502251 = V763106. assign V533043 = V433124. assign V890252 = V096867 - 1. assign V335711 = V038057 + 1. assign V419203 = V355148. assign V181019 = V142681. assign V433124 = V072542. assign V433409 = V175971. assign V315483 = V763106. assign V557883 = V212274. assign V000932 = V096867. assign V414670 = V909058 + 1. assign V381743 = V038057 + 1. assign V252273 = V000932 + 1. assign V898967 = V362619 + 1. assign V237202 = V209359. assign V175971 = V725680 - 1. assign V949542 = V142681. assign V038057 = V898624 - 1. assign V489572 = V949542. assign V072542 = V898624 - 1. assign V725680 = V898624 + 1. assign V861642 = V763106 - 1. assign V859503 = V607371 + 1. assign V607371 = V949542 + 1. assign V280793 = V578897 + 1. assign V199387 = V859503 + 1. assign V610430 = V072542 + 1. assign V481427 = V454602 - 1. assign V559935 = 5. assign V120642 = V559935 - 1. assign V901959 = V948830. assign V352194 = V763106 - 1. assign V154659 = V286157. assign V862825 = V212274 + 1. assign V173308 = V238013 + 1. assign V005883 = V602313 - 1. assign V662937 = V043857. assign V142681 = V502251 + 1. assign V970546 = V096867 - 1. assign V984167 = V590747 + 1. assign V286638 = V015671. assign V490068 = V502251. assign V096867 = V238013. assign V379478 = V784184 - 1. assign V909058 = V502251 - 1. assign V362619 = V578897 - 1. assign V086424 = V898624 + 1. assign V454602 = V590747. assign V238013 = V015671 + 1. assign V240263 = V590747 + 1. assign V540859 = V181019. assign V590747 = V038057. assign V010027 = V951191 - 1. assign V736750 = V212274 - 1. assign V776574 = V602313 - 1. assign V292550 = V341926 - 1. assign V622821 = V763106 - 1. assign V948830 = V015671 + 1. assign V209359 = V072903 - 1. assign V286157 = V489572 + 1. assign V951191 = V502251 - 1. assign V793712 = V859503. assign V879605 = V156553. assign V602313 = V862825 + 1. assign V898624 = V763106. assign V681679 = V542942 + 1. assign V371919 = V602313. assign V310496 = V948830. assign V225532 = V590747. assign V001547 = V199387 - 1. assign V355148 = V949542 - 1. assign V728243 = V096867 - 1. assign V579242 = V861642 + 1. assign V687778 = V951191 - 1. assign V072903 = V601644. assign V015671 = V859503. assign V341926 = V607371 + 1. assign V578897 = V540859 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV559935 = 5;\n\nFrom these direct assignment(s), we have: \nV120642 = V559935 - 1 = 5 - 1 =4;\nNo other variables can be derived from V120642;\nNo other variables can be derived from V559935;\n\nNow we have done all the calculations. Derived variables are:\nV559935 = 5;\nV120642 = 4;\n\nNow we have finished this problem. ANSWER:\nV120642\n", "role": "assistant" } ]

[ "V533903" ]

[ { "content": "<context>\nassign V843463 = V134170 + 1. assign V363249 = V087703 + 1. assign V197256 = V983404. assign V189623 = V737290 + 1. assign V653219 = V583625. assign V929203 = V399180 - 1. assign V816290 = V505881 + 1. assign V450935 = V261433. assign V652376 = V029149 + 1. assign V737290 = V134170 + 1. assign V330596 = V706201 + 1. assign V033080 = V240244. assign V029149 = V052858. assign V087703 = V399180. assign V729986 = V503405 - 1. assign V261433 = V681032 - 1. assign V677423 = V503405 + 1. assign V507370 = V399180. assign V913842 = V927446 - 1. assign V530308 = V004060. assign V681032 = V399180 + 1. assign V240244 = V120270 - 1. assign V531681 = V051575. assign V535898 = V516010 + 1. assign V610007 = V530308. assign V865658 = V120270 - 1. assign V533903 = V499543 - 1. assign V361296 = V792083 + 1. assign V433370 = V931686 + 1. assign V304531 = V583625. assign V474952 = V052858 - 1. assign V494856 = V850246 - 1. assign V934215 = V053218 + 1. assign V661970 = V931686. assign V895984 = V363249 - 1. assign V053218 = V052858. assign V562177 = V850246. assign V051575 = V677423 + 1. assign V102242 = V681032 - 1. assign V499543 = 10. assign V120270 = V305709 - 1. assign V594839 = V087703 + 1. assign V491250 = V792083 + 1. assign V134170 = V053218 - 1. assign V983404 = V120270. assign V792083 = V087703 + 1. assign V988200 = V850246. assign V783636 = V051575 - 1. assign V245859 = V363249 - 1. assign V588346 = V004060 + 1. assign V213946 = V588346 - 1. assign V446089 = V983404. assign V764309 = V535898. assign V244410 = V290257 - 1. assign V583625 = V588346 - 1. assign V650292 = V737290 - 1. assign V505881 = V494856. assign V433078 = V983404 - 1. assign V765261 = V983404 - 1. assign V290257 = V399180. assign V784060 = V661970 + 1. assign V925263 = V449390 + 1. assign V790539 = V781580. assign V781580 = V120270. assign V268640 = V503405 - 1. assign V725932 = V120270. assign V004060 = V399180. assign V833299 = V681032. assign V516010 = V929203. assign V931686 = V033080 + 1. assign V095534 = V927446. assign V850246 = V399180 + 1. assign V927446 = V934215 - 1. assign V056924 = V503405 - 1. assign V911365 = V120270 - 1. assign V449390 = V029149. assign V386133 = V781580 + 1. assign V052858 = V363249 + 1. assign V156299 = V588346 + 1. assign V881998 = V304531. assign V642528 = V783636 - 1. assign V305709 = V850246 + 1. assign V130494 = V843463 + 1. assign V503405 = V004060 + 1. assign V510674 = V029149. assign V706201 = V677423.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V843463 = V134170 + 1. assign V363249 = V087703 + 1. assign V197256 = V983404. assign V189623 = V737290 + 1. assign V653219 = V583625. assign V929203 = V399180 - 1. assign V816290 = V505881 + 1. assign V450935 = V261433. assign V652376 = V029149 + 1. assign V737290 = V134170 + 1. assign V330596 = V706201 + 1. assign V033080 = V240244. assign V029149 = V052858. assign V087703 = V399180. assign V729986 = V503405 - 1. assign V261433 = V681032 - 1. assign V677423 = V503405 + 1. assign V507370 = V399180. assign V913842 = V927446 - 1. assign V530308 = V004060. assign V681032 = V399180 + 1. assign V240244 = V120270 - 1. assign V531681 = V051575. assign V535898 = V516010 + 1. assign V610007 = V530308. assign V865658 = V120270 - 1. assign V533903 = V499543 - 1. assign V361296 = V792083 + 1. assign V433370 = V931686 + 1. assign V304531 = V583625. assign V474952 = V052858 - 1. assign V494856 = V850246 - 1. assign V934215 = V053218 + 1. assign V661970 = V931686. assign V895984 = V363249 - 1. assign V053218 = V052858. assign V562177 = V850246. assign V051575 = V677423 + 1. assign V102242 = V681032 - 1. assign V499543 = 10. assign V120270 = V305709 - 1. assign V594839 = V087703 + 1. assign V491250 = V792083 + 1. assign V134170 = V053218 - 1. assign V983404 = V120270. assign V792083 = V087703 + 1. assign V988200 = V850246. assign V783636 = V051575 - 1. assign V245859 = V363249 - 1. assign V588346 = V004060 + 1. assign V213946 = V588346 - 1. assign V446089 = V983404. assign V764309 = V535898. assign V244410 = V290257 - 1. assign V583625 = V588346 - 1. assign V650292 = V737290 - 1. assign V505881 = V494856. assign V433078 = V983404 - 1. assign V765261 = V983404 - 1. assign V290257 = V399180. assign V784060 = V661970 + 1. assign V925263 = V449390 + 1. assign V790539 = V781580. assign V781580 = V120270. assign V268640 = V503405 - 1. assign V725932 = V120270. assign V004060 = V399180. assign V833299 = V681032. assign V516010 = V929203. assign V931686 = V033080 + 1. assign V095534 = V927446. assign V850246 = V399180 + 1. assign V927446 = V934215 - 1. assign V056924 = V503405 - 1. assign V911365 = V120270 - 1. assign V449390 = V029149. assign V386133 = V781580 + 1. assign V052858 = V363249 + 1. assign V156299 = V588346 + 1. assign V881998 = V304531. assign V642528 = V783636 - 1. assign V305709 = V850246 + 1. assign V130494 = V843463 + 1. assign V503405 = V004060 + 1. assign V510674 = V029149. assign V706201 = V677423.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV499543 = 10;\n\nFrom these direct assignment(s), we have: \nV533903 = V499543 - 1 = 10 - 1 =9;\nNo other variables can be derived from V533903;\nNo other variables can be derived from V499543;\n\nNow we have done all the calculations. Derived variables are:\nV499543 = 10;\nV533903 = 9;\n\nNow we have finished this problem. ANSWER:\nV533903\n", "role": "assistant" } ]

[ "V234717" ]

[ { "content": "<context>\nassign V409381 = V921301 + 1. assign V577818 = V921301 - 1. assign V148464 = V657952 + 1. assign V555602 = V282774. assign V417360 = V033202 + 1. assign V560725 = V277365 + 1. assign V114544 = V921301 - 1. assign V758383 = V450249. assign V213995 = V001102 - 1. assign V110670 = V648825 - 1. assign V995035 = V417360. assign V751530 = V018983 - 1. assign V829925 = V685937 + 1. assign V937371 = V648825 + 1. assign V033202 = V114544. assign V398201 = V642055 + 1. assign V486822 = V001102 - 1. assign V921301 = V552844. assign V542940 = V709593. assign V378059 = V539744 - 1. assign V180712 = V560725 - 1. assign V794650 = V110670 + 1. assign V428732 = V560725 - 1. assign V714437 = V552844 + 1. assign V771951 = V560725. assign V234717 = 1. assign V966632 = V590901. assign V217599 = V648825 + 1. assign V940767 = V282774 - 1. assign V352086 = V794650. assign V414020 = V642055. assign V080749 = V234717 + 1. assign V227511 = V766514 - 1. assign V802593 = V093130. assign V397094 = V552844 + 1. assign V093130 = V766514 - 1. assign V509338 = V552844 + 1. assign V037613 = V921301. assign V509592 = V921301 - 1. assign V282774 = V657952 + 1. assign V168049 = V963980 + 1. assign V133127 = V279950 + 1. assign V018983 = V509592 + 1. assign V401092 = V110670 + 1. assign V159431 = V277365 - 1. assign V639242 = V093130 + 1. assign V546449 = V560725 + 1. assign V590901 = V921301 + 1. assign V566396 = V279950 - 1. assign V685937 = V114544 - 1. assign V279950 = V397094 + 1. assign V944251 = V110670 - 1. assign V642055 = V277365. assign V766514 = V271081 + 1. assign V824139 = V552844 + 1. assign V228025 = V824139 + 1. assign V648356 = V577818. assign V709593 = V539744. assign V539744 = V577818. assign V070082 = V213995 - 1. assign V001102 = V685937 + 1. assign V384338 = V509592 - 1. assign V847488 = V921301. assign V116530 = V657952 - 1. assign V265401 = V378059. assign V271081 = V577818 - 1. assign V839443 = V398201 - 1. assign V493328 = V033202 + 1. assign V353809 = V648825. assign V713565 = V937371. assign V657952 = V397094 - 1. assign V807577 = V110670 + 1. assign V902534 = V116530. assign V963857 = V966632 - 1. assign V450249 = V552844 + 1. assign V630534 = V542940. assign V915299 = V033202 + 1. assign V648825 = V509338 - 1. assign V712357 = V766514 + 1. assign V215991 = V282774 + 1. assign V015133 = V577818 - 1. assign V601653 = V542940 + 1. assign V277365 = V509592 + 1. assign V963980 = V824139 - 1. assign V764814 = V398201. assign V916493 = V384338.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V409381 = V921301 + 1. assign V577818 = V921301 - 1. assign V148464 = V657952 + 1. assign V555602 = V282774. assign V417360 = V033202 + 1. assign V560725 = V277365 + 1. assign V114544 = V921301 - 1. assign V758383 = V450249. assign V213995 = V001102 - 1. assign V110670 = V648825 - 1. assign V995035 = V417360. assign V751530 = V018983 - 1. assign V829925 = V685937 + 1. assign V937371 = V648825 + 1. assign V033202 = V114544. assign V398201 = V642055 + 1. assign V486822 = V001102 - 1. assign V921301 = V552844. assign V542940 = V709593. assign V378059 = V539744 - 1. assign V180712 = V560725 - 1. assign V794650 = V110670 + 1. assign V428732 = V560725 - 1. assign V714437 = V552844 + 1. assign V771951 = V560725. assign V234717 = 1. assign V966632 = V590901. assign V217599 = V648825 + 1. assign V940767 = V282774 - 1. assign V352086 = V794650. assign V414020 = V642055. assign V080749 = V234717 + 1. assign V227511 = V766514 - 1. assign V802593 = V093130. assign V397094 = V552844 + 1. assign V093130 = V766514 - 1. assign V509338 = V552844 + 1. assign V037613 = V921301. assign V509592 = V921301 - 1. assign V282774 = V657952 + 1. assign V168049 = V963980 + 1. assign V133127 = V279950 + 1. assign V018983 = V509592 + 1. assign V401092 = V110670 + 1. assign V159431 = V277365 - 1. assign V639242 = V093130 + 1. assign V546449 = V560725 + 1. assign V590901 = V921301 + 1. assign V566396 = V279950 - 1. assign V685937 = V114544 - 1. assign V279950 = V397094 + 1. assign V944251 = V110670 - 1. assign V642055 = V277365. assign V766514 = V271081 + 1. assign V824139 = V552844 + 1. assign V228025 = V824139 + 1. assign V648356 = V577818. assign V709593 = V539744. assign V539744 = V577818. assign V070082 = V213995 - 1. assign V001102 = V685937 + 1. assign V384338 = V509592 - 1. assign V847488 = V921301. assign V116530 = V657952 - 1. assign V265401 = V378059. assign V271081 = V577818 - 1. assign V839443 = V398201 - 1. assign V493328 = V033202 + 1. assign V353809 = V648825. assign V713565 = V937371. assign V657952 = V397094 - 1. assign V807577 = V110670 + 1. assign V902534 = V116530. assign V963857 = V966632 - 1. assign V450249 = V552844 + 1. assign V630534 = V542940. assign V915299 = V033202 + 1. assign V648825 = V509338 - 1. assign V712357 = V766514 + 1. assign V215991 = V282774 + 1. assign V015133 = V577818 - 1. assign V601653 = V542940 + 1. assign V277365 = V509592 + 1. assign V963980 = V824139 - 1. assign V764814 = V398201. assign V916493 = V384338.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV234717 = 1;\n\nFrom these direct assignment(s), we have: \nV080749 = V234717 + 1 = 1 + 1 =2;\nNo other variables can be derived from V080749;\nNo other variables can be derived from V234717;\n\nNow we have done all the calculations. Derived variables are:\nV234717 = 1;\nV080749 = 2;\n\nNow we have finished this problem. ANSWER:\nV234717\n", "role": "assistant" } ]

[ "V566396", "V054659" ]

[ { "content": "<context>\nassign V086116 = V753886 + 1. assign V859271 = V569485 + 1. assign V785142 = V120741. assign V653134 = V540602. assign V509448 = V919141 + 1. assign V224055 = V875437. assign V809137 = V988603 - 1. assign V013829 = V795132 + 1. assign V322655 = V368253 + 1. assign V902542 = V386421. assign V538078 = V322655 - 1. assign V826002 = V224055 + 1. assign V242567 = V086116 + 1. assign V174242 = V826002 + 1. assign V547774 = V120741. assign V076939 = V083889. assign V725865 = V300051. assign V753752 = V747853 + 1. assign V249728 = V013277 + 1. assign V926407 = V273656 - 1. assign V152494 = V569485. assign V523816 = V152494. assign V102960 = V560130 - 1. assign V123019 = V795132 - 1. assign V994018 = V403554 + 1. assign V965604 = V086116 - 1. assign V273656 = V224055 + 1. assign V253455 = V939010 + 1. assign V718000 = V115141. assign V785484 = V747853 - 1. assign V569485 = V875437. assign V830648 = V939010 - 1. assign V634975 = V058590. assign V448164 = V965604 + 1. assign V988603 = V368253 - 1. assign V051217 = V115141. assign V618159 = V785484 - 1. assign V365517 = V994018 + 1. assign V120741 = V875437 + 1. assign V244539 = V032375 + 1. assign V747853 = V086116. assign V369220 = V909191 + 1. assign V013277 = V875437. assign V902676 = V013829 + 1. assign V438634 = V492962. assign V058590 = V795132 + 1. assign V403554 = V368253. assign V300051 = V013829 + 1. assign V492962 = V191800 + 1. assign V919141 = V083889 + 1. assign V368253 = V875437 - 1. assign V400949 = V911629 - 1. assign V898106 = V368253 - 1. assign V528189 = V191800. assign V428650 = V540602. assign V939010 = V051217 + 1. assign V943382 = V911629 + 1. assign V870602 = V569485 + 1. assign V566396 = 10. assign V047400 = V403554 - 1. assign V054659 = V566396. assign V929494 = V718000 - 1. assign V115141 = V795132 + 1. assign V911629 = V870602 + 1. assign V560130 = V653134. assign V787055 = V875437. assign V753886 = V058590 + 1. assign V271351 = V509633 - 1. assign V032375 = V051217 + 1. assign V494169 = V773011. assign V742233 = V747853 + 1. assign V139143 = V120741 + 1. assign V540602 = V013829 - 1. assign V795132 = V569485 - 1. assign V857833 = V919141 + 1. assign V191800 = V152494. assign V773011 = V191800 - 1. assign V909191 = V191800 - 1. assign V612071 = V795132 + 1. assign V083889 = V826002 - 1. assign V253857 = V403554. assign V195134 = V898106 + 1. assign V783363 = V540602. assign V509633 = V191800. assign V207096 = V123019 + 1. assign V386421 = V086116.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V086116 = V753886 + 1. assign V859271 = V569485 + 1. assign V785142 = V120741. assign V653134 = V540602. assign V509448 = V919141 + 1. assign V224055 = V875437. assign V809137 = V988603 - 1. assign V013829 = V795132 + 1. assign V322655 = V368253 + 1. assign V902542 = V386421. assign V538078 = V322655 - 1. assign V826002 = V224055 + 1. assign V242567 = V086116 + 1. assign V174242 = V826002 + 1. assign V547774 = V120741. assign V076939 = V083889. assign V725865 = V300051. assign V753752 = V747853 + 1. assign V249728 = V013277 + 1. assign V926407 = V273656 - 1. assign V152494 = V569485. assign V523816 = V152494. assign V102960 = V560130 - 1. assign V123019 = V795132 - 1. assign V994018 = V403554 + 1. assign V965604 = V086116 - 1. assign V273656 = V224055 + 1. assign V253455 = V939010 + 1. assign V718000 = V115141. assign V785484 = V747853 - 1. assign V569485 = V875437. assign V830648 = V939010 - 1. assign V634975 = V058590. assign V448164 = V965604 + 1. assign V988603 = V368253 - 1. assign V051217 = V115141. assign V618159 = V785484 - 1. assign V365517 = V994018 + 1. assign V120741 = V875437 + 1. assign V244539 = V032375 + 1. assign V747853 = V086116. assign V369220 = V909191 + 1. assign V013277 = V875437. assign V902676 = V013829 + 1. assign V438634 = V492962. assign V058590 = V795132 + 1. assign V403554 = V368253. assign V300051 = V013829 + 1. assign V492962 = V191800 + 1. assign V919141 = V083889 + 1. assign V368253 = V875437 - 1. assign V400949 = V911629 - 1. assign V898106 = V368253 - 1. assign V528189 = V191800. assign V428650 = V540602. assign V939010 = V051217 + 1. assign V943382 = V911629 + 1. assign V870602 = V569485 + 1. assign V566396 = 10. assign V047400 = V403554 - 1. assign V054659 = V566396. assign V929494 = V718000 - 1. assign V115141 = V795132 + 1. assign V911629 = V870602 + 1. assign V560130 = V653134. assign V787055 = V875437. assign V753886 = V058590 + 1. assign V271351 = V509633 - 1. assign V032375 = V051217 + 1. assign V494169 = V773011. assign V742233 = V747853 + 1. assign V139143 = V120741 + 1. assign V540602 = V013829 - 1. assign V795132 = V569485 - 1. assign V857833 = V919141 + 1. assign V191800 = V152494. assign V773011 = V191800 - 1. assign V909191 = V191800 - 1. assign V612071 = V795132 + 1. assign V083889 = V826002 - 1. assign V253857 = V403554. assign V195134 = V898106 + 1. assign V783363 = V540602. assign V509633 = V191800. assign V207096 = V123019 + 1. assign V386421 = V086116.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV566396 = 10;\n\nFrom these direct assignment(s), we have: \nV054659 = V566396 = 10;\nNo other variables can be derived from V054659;\nNo other variables can be derived from V566396;\n\nNow we have done all the calculations. Derived variables are:\nV566396 = 10;\nV054659 = 10;\n\nNow we have finished this problem. ANSWER:\nV566396, V054659\n", "role": "assistant" } ]

[ "V183026", "V306299" ]

[ { "content": "<context>\nassign V665270 = V211821. assign V227800 = V329461 + 1. assign V541189 = V721792 + 1. assign V641993 = V070977 + 1. assign V450374 = V665270 - 1. assign V989970 = V007255 + 1. assign V395747 = V520111 - 1. assign V679372 = V070977 + 1. assign V548722 = V007255. assign V826064 = V552215 - 1. assign V267575 = V378593. assign V211821 = V070977. assign V980116 = V007255. assign V879485 = V558538. assign V317949 = V608606. assign V212240 = V558538. assign V312260 = V125089 - 1. assign V868016 = V641993 - 1. assign V804409 = V740539. assign V731078 = V563134 - 1. assign V792164 = V721792 - 1. assign V182602 = V520111 - 1. assign V092550 = V726897. assign V563134 = V329461 + 1. assign V498419 = V679372. assign V781220 = V329461 - 1. assign V199261 = V441869 + 1. assign V932276 = V740539. assign V306299 = V183026. assign V333895 = V009155 - 1. assign V003183 = V740539. assign V234319 = V658610 - 1. assign V009155 = V312260 + 1. assign V329461 = V574740 + 1. assign V150947 = V211821 - 1. assign V538259 = V206327. assign V777298 = V087997 + 1. assign V520111 = V574740. assign V112392 = V254740 - 1. assign V658610 = V608606 - 1. assign V854356 = V087997 - 1. assign V630415 = V484588. assign V542403 = V541189 + 1. assign V378593 = V150947 + 1. assign V116039 = V007255 + 1. assign V913681 = V112392 - 1. assign V776229 = V975274. assign V920609 = V721792. assign V721792 = V665270. assign V493904 = V740539 + 1. assign V007255 = V520111. assign V516794 = V125089 + 1. assign V735520 = V658610. assign V524233 = V980116 + 1. assign V926239 = V317949. assign V070977 = V493904 + 1. assign V183026 = 5. assign V444312 = V317949 + 1. assign V975274 = V003183. assign V237239 = V548933 - 1. assign V548933 = V003183 - 1. assign V125249 = V608606 - 1. assign V338032 = V868016. assign V558538 = V254740. assign V815236 = V731078. assign V383818 = V574740. assign V310516 = V726813 - 1. assign V608606 = V740539 + 1. assign V713260 = V234319 - 1. assign V036821 = V838364 - 1. assign V838364 = V383818. assign V206327 = V735520. assign V327107 = V574740 + 1. assign V592945 = V879485 - 1. assign V254740 = V003183. assign V468826 = V524233 - 1. assign V726897 = V735520. assign V441869 = V520111 + 1. assign V143851 = V237239 + 1. assign V740539 = V574740. assign V087997 = V520111. assign V125089 = V206327 + 1. assign V484588 = V608606 - 1. assign V552215 = V980116 + 1. assign V726813 = V592945 - 1. assign V845648 = V574740.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V665270 = V211821. assign V227800 = V329461 + 1. assign V541189 = V721792 + 1. assign V641993 = V070977 + 1. assign V450374 = V665270 - 1. assign V989970 = V007255 + 1. assign V395747 = V520111 - 1. assign V679372 = V070977 + 1. assign V548722 = V007255. assign V826064 = V552215 - 1. assign V267575 = V378593. assign V211821 = V070977. assign V980116 = V007255. assign V879485 = V558538. assign V317949 = V608606. assign V212240 = V558538. assign V312260 = V125089 - 1. assign V868016 = V641993 - 1. assign V804409 = V740539. assign V731078 = V563134 - 1. assign V792164 = V721792 - 1. assign V182602 = V520111 - 1. assign V092550 = V726897. assign V563134 = V329461 + 1. assign V498419 = V679372. assign V781220 = V329461 - 1. assign V199261 = V441869 + 1. assign V932276 = V740539. assign V306299 = V183026. assign V333895 = V009155 - 1. assign V003183 = V740539. assign V234319 = V658610 - 1. assign V009155 = V312260 + 1. assign V329461 = V574740 + 1. assign V150947 = V211821 - 1. assign V538259 = V206327. assign V777298 = V087997 + 1. assign V520111 = V574740. assign V112392 = V254740 - 1. assign V658610 = V608606 - 1. assign V854356 = V087997 - 1. assign V630415 = V484588. assign V542403 = V541189 + 1. assign V378593 = V150947 + 1. assign V116039 = V007255 + 1. assign V913681 = V112392 - 1. assign V776229 = V975274. assign V920609 = V721792. assign V721792 = V665270. assign V493904 = V740539 + 1. assign V007255 = V520111. assign V516794 = V125089 + 1. assign V735520 = V658610. assign V524233 = V980116 + 1. assign V926239 = V317949. assign V070977 = V493904 + 1. assign V183026 = 5. assign V444312 = V317949 + 1. assign V975274 = V003183. assign V237239 = V548933 - 1. assign V548933 = V003183 - 1. assign V125249 = V608606 - 1. assign V338032 = V868016. assign V558538 = V254740. assign V815236 = V731078. assign V383818 = V574740. assign V310516 = V726813 - 1. assign V608606 = V740539 + 1. assign V713260 = V234319 - 1. assign V036821 = V838364 - 1. assign V838364 = V383818. assign V206327 = V735520. assign V327107 = V574740 + 1. assign V592945 = V879485 - 1. assign V254740 = V003183. assign V468826 = V524233 - 1. assign V726897 = V735520. assign V441869 = V520111 + 1. assign V143851 = V237239 + 1. assign V740539 = V574740. assign V087997 = V520111. assign V125089 = V206327 + 1. assign V484588 = V608606 - 1. assign V552215 = V980116 + 1. assign V726813 = V592945 - 1. assign V845648 = V574740.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV183026 = 5;\n\nFrom these direct assignment(s), we have: \nV306299 = V183026 = 5;\nNo other variables can be derived from V306299;\nNo other variables can be derived from V183026;\n\nNow we have done all the calculations. Derived variables are:\nV183026 = 5;\nV306299 = 5;\n\nNow we have finished this problem. ANSWER:\nV183026, V306299\n", "role": "assistant" } ]

[ "V829070" ]

[ { "content": "<context>\nassign V945724 = V265220 - 1. assign V450673 = V256607 - 1. assign V429784 = V697157 + 1. assign V203724 = V657127 + 1. assign V504965 = V211003 + 1. assign V387118 = V577886 - 1. assign V553274 = V189914 + 1. assign V423127 = V005669 - 1. assign V527818 = V470984. assign V765486 = V212368. assign V552912 = V256607 + 1. assign V022861 = V450673 + 1. assign V210700 = V127118 - 1. assign V888771 = V212368 - 1. assign V664231 = V450673 + 1. assign V550387 = V903992. assign V499512 = V794553 + 1. assign V968970 = V620672. assign V686338 = V577886 + 1. assign V657127 = V022861 - 1. assign V265220 = V579346. assign V211003 = V256607 - 1. assign V531788 = V211003 - 1. assign V245921 = V945724 + 1. assign V794553 = V577886 + 1. assign V012585 = V577886 + 1. assign V401041 = V127118 + 1. assign V276713 = V423127 - 1. assign V903992 = V438564 + 1. assign V872930 = V151413 + 1. assign V579346 = V470984 + 1. assign V001668 = V011891 - 1. assign V148278 = V265220 + 1. assign V581194 = V903992 + 1. assign V283203 = V450673 + 1. assign V438564 = V470984 - 1. assign V620672 = V265220. assign V518441 = V005669. assign V240579 = V210700 + 1. assign V510441 = V945724 + 1. assign V489432 = V221651 - 1. assign V189914 = V579346 - 1. assign V005669 = V127118 - 1. assign V009703 = V945724 + 1. assign V421795 = V283203. assign V428993 = V903992 - 1. assign V761300 = V550387. assign V470984 = V256607. assign V950174 = V579346 + 1. assign V406373 = V145663 - 1. assign V011891 = V189914 + 1. assign V029911 = V504965. assign V309691 = V216358 + 1. assign V189435 = V794553 + 1. assign V829070 = V447174 - 1. assign V824975 = V577886 + 1. assign V535283 = V765486. assign V548141 = V824975 - 1. assign V862745 = V283203 + 1. assign V221651 = V438564. assign V267632 = V634476 + 1. assign V145663 = V011891 - 1. assign V771167 = V550387 + 1. assign V151413 = V450673 + 1. assign V634476 = V579346 - 1. assign V212368 = V470984. assign V300312 = V510441. assign V568215 = V664231 + 1. assign V127118 = V450673. assign V312446 = V301551. assign V697157 = V470984. assign V216358 = V127118 + 1. assign V629057 = V011891. assign V197227 = V151413 - 1. assign V577886 = V438564 - 1. assign V741693 = V301551 - 1. assign V301551 = V240579. assign V679324 = V210700 + 1. assign V554396 = V945724. assign V045966 = V009703 + 1. assign V080059 = V211003 - 1. assign V731482 = V189435. assign V523803 = V276713 - 1. assign V212598 = V127118 + 1. assign V972088 = V127118. assign V447174 = 5.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 4.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V945724 = V265220 - 1. assign V450673 = V256607 - 1. assign V429784 = V697157 + 1. assign V203724 = V657127 + 1. assign V504965 = V211003 + 1. assign V387118 = V577886 - 1. assign V553274 = V189914 + 1. assign V423127 = V005669 - 1. assign V527818 = V470984. assign V765486 = V212368. assign V552912 = V256607 + 1. assign V022861 = V450673 + 1. assign V210700 = V127118 - 1. assign V888771 = V212368 - 1. assign V664231 = V450673 + 1. assign V550387 = V903992. assign V499512 = V794553 + 1. assign V968970 = V620672. assign V686338 = V577886 + 1. assign V657127 = V022861 - 1. assign V265220 = V579346. assign V211003 = V256607 - 1. assign V531788 = V211003 - 1. assign V245921 = V945724 + 1. assign V794553 = V577886 + 1. assign V012585 = V577886 + 1. assign V401041 = V127118 + 1. assign V276713 = V423127 - 1. assign V903992 = V438564 + 1. assign V872930 = V151413 + 1. assign V579346 = V470984 + 1. assign V001668 = V011891 - 1. assign V148278 = V265220 + 1. assign V581194 = V903992 + 1. assign V283203 = V450673 + 1. assign V438564 = V470984 - 1. assign V620672 = V265220. assign V518441 = V005669. assign V240579 = V210700 + 1. assign V510441 = V945724 + 1. assign V489432 = V221651 - 1. assign V189914 = V579346 - 1. assign V005669 = V127118 - 1. assign V009703 = V945724 + 1. assign V421795 = V283203. assign V428993 = V903992 - 1. assign V761300 = V550387. assign V470984 = V256607. assign V950174 = V579346 + 1. assign V406373 = V145663 - 1. assign V011891 = V189914 + 1. assign V029911 = V504965. assign V309691 = V216358 + 1. assign V189435 = V794553 + 1. assign V829070 = V447174 - 1. assign V824975 = V577886 + 1. assign V535283 = V765486. assign V548141 = V824975 - 1. assign V862745 = V283203 + 1. assign V221651 = V438564. assign V267632 = V634476 + 1. assign V145663 = V011891 - 1. assign V771167 = V550387 + 1. assign V151413 = V450673 + 1. assign V634476 = V579346 - 1. assign V212368 = V470984. assign V300312 = V510441. assign V568215 = V664231 + 1. assign V127118 = V450673. assign V312446 = V301551. assign V697157 = V470984. assign V216358 = V127118 + 1. assign V629057 = V011891. assign V197227 = V151413 - 1. assign V577886 = V438564 - 1. assign V741693 = V301551 - 1. assign V301551 = V240579. assign V679324 = V210700 + 1. assign V554396 = V945724. assign V045966 = V009703 + 1. assign V080059 = V211003 - 1. assign V731482 = V189435. assign V523803 = V276713 - 1. assign V212598 = V127118 + 1. assign V972088 = V127118. assign V447174 = 5.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 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):\nV447174 = 5;\n\nFrom these direct assignment(s), we have: \nV829070 = V447174 - 1 = 5 - 1 =4;\nNo other variables can be derived from V829070;\nNo other variables can be derived from V447174;\n\nNow we have done all the calculations. Derived variables are:\nV447174 = 5;\nV829070 = 4;\n\nNow we have finished this problem. ANSWER:\nV829070\n", "role": "assistant" } ]

[ "V069694", "V754644" ]

[ { "content": "<context>\nassign V652894 = V595423 - 1. assign V726928 = V468897 - 1. assign V031648 = V749770 + 1. assign V978695 = V641069. assign V626724 = V323702. assign V548411 = V448236 + 1. assign V335103 = V362361 + 1. assign V711865 = V292312 + 1. assign V123705 = V595423 + 1. assign V981272 = V483647 + 1. assign V646558 = V711865. assign V468897 = V749770 - 1. assign V221668 = V494407 + 1. assign V380966 = V749770 - 1. assign V749770 = V561995 - 1. assign V563591 = V141684 - 1. assign V239289 = V300094. assign V719676 = V883505 - 1. assign V110234 = V221668 - 1. assign V129128 = V726928. assign V572223 = V423651 + 1. assign V429710 = V483647 - 1. assign V986713 = V595423 - 1. assign V883505 = V451870 + 1. assign V494407 = V726928 - 1. assign V726982 = V607070. assign V069291 = V468897 - 1. assign V383077 = V494407. assign V172055 = V854235 + 1. assign V907904 = V129128 + 1. assign V548028 = V362361. assign V292312 = V854235 - 1. assign V656848 = V468897 + 1. assign V134609 = V031648. assign V136913 = V221668. assign V653361 = V448236. assign V549766 = V563591 - 1. assign V991688 = V008349. assign V272639 = V141684 + 1. assign V249803 = V979890 + 1. assign V056059 = V841352 + 1. assign V686528 = V123705. assign V323702 = V588945 - 1. assign V008349 = V697240. assign V338304 = V423651. assign V588945 = V163906 - 1. assign V160162 = V981272 + 1. assign V697240 = V561995. assign V210571 = V607070. assign V300094 = V494407 - 1. assign V483195 = V572223 + 1. assign V502686 = V448236 + 1. assign V483647 = V595423 - 1. assign V754644 = V069694. assign V562946 = V300094 + 1. assign V979890 = V978695. assign V083766 = V031648. assign V451870 = V083766. assign V854010 = V841352 + 1. assign V068800 = V008349 - 1. assign V763404 = V352462. assign V432076 = V083766. assign V188773 = V979890 + 1. assign V359647 = V595423. assign V352462 = V483647 + 1. assign V870378 = V448236. assign V188440 = V210571 - 1. assign V171706 = V483195. assign V362361 = V359647 + 1. assign V141684 = V069291. assign V777584 = V854235. assign V621838 = V854235. assign V069694 = 6. assign V995276 = V056059. assign V854235 = V008349. assign V607070 = V083766 + 1. assign V481831 = V292312. assign V163906 = V697240. assign V641069 = V423651 + 1. assign V545324 = V621838 + 1. assign V841352 = V607070. assign V448236 = V423651 - 1. assign V595423 = V561995 + 1. assign V807150 = V854010 - 1. assign V423651 = V749770 + 1. assign V609503 = V883505.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V652894 = V595423 - 1. assign V726928 = V468897 - 1. assign V031648 = V749770 + 1. assign V978695 = V641069. assign V626724 = V323702. assign V548411 = V448236 + 1. assign V335103 = V362361 + 1. assign V711865 = V292312 + 1. assign V123705 = V595423 + 1. assign V981272 = V483647 + 1. assign V646558 = V711865. assign V468897 = V749770 - 1. assign V221668 = V494407 + 1. assign V380966 = V749770 - 1. assign V749770 = V561995 - 1. assign V563591 = V141684 - 1. assign V239289 = V300094. assign V719676 = V883505 - 1. assign V110234 = V221668 - 1. assign V129128 = V726928. assign V572223 = V423651 + 1. assign V429710 = V483647 - 1. assign V986713 = V595423 - 1. assign V883505 = V451870 + 1. assign V494407 = V726928 - 1. assign V726982 = V607070. assign V069291 = V468897 - 1. assign V383077 = V494407. assign V172055 = V854235 + 1. assign V907904 = V129128 + 1. assign V548028 = V362361. assign V292312 = V854235 - 1. assign V656848 = V468897 + 1. assign V134609 = V031648. assign V136913 = V221668. assign V653361 = V448236. assign V549766 = V563591 - 1. assign V991688 = V008349. assign V272639 = V141684 + 1. assign V249803 = V979890 + 1. assign V056059 = V841352 + 1. assign V686528 = V123705. assign V323702 = V588945 - 1. assign V008349 = V697240. assign V338304 = V423651. assign V588945 = V163906 - 1. assign V160162 = V981272 + 1. assign V697240 = V561995. assign V210571 = V607070. assign V300094 = V494407 - 1. assign V483195 = V572223 + 1. assign V502686 = V448236 + 1. assign V483647 = V595423 - 1. assign V754644 = V069694. assign V562946 = V300094 + 1. assign V979890 = V978695. assign V083766 = V031648. assign V451870 = V083766. assign V854010 = V841352 + 1. assign V068800 = V008349 - 1. assign V763404 = V352462. assign V432076 = V083766. assign V188773 = V979890 + 1. assign V359647 = V595423. assign V352462 = V483647 + 1. assign V870378 = V448236. assign V188440 = V210571 - 1. assign V171706 = V483195. assign V362361 = V359647 + 1. assign V141684 = V069291. assign V777584 = V854235. assign V621838 = V854235. assign V069694 = 6. assign V995276 = V056059. assign V854235 = V008349. assign V607070 = V083766 + 1. assign V481831 = V292312. assign V163906 = V697240. assign V641069 = V423651 + 1. assign V545324 = V621838 + 1. assign V841352 = V607070. assign V448236 = V423651 - 1. assign V595423 = V561995 + 1. assign V807150 = V854010 - 1. assign V423651 = V749770 + 1. assign V609503 = V883505.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV069694 = 6;\n\nFrom these direct assignment(s), we have: \nV754644 = V069694 = 6;\nNo other variables can be derived from V754644;\nNo other variables can be derived from V069694;\n\nNow we have done all the calculations. Derived variables are:\nV069694 = 6;\nV754644 = 6;\n\nNow we have finished this problem. ANSWER:\nV069694, V754644\n", "role": "assistant" } ]

[ "V188946" ]

[ { "content": "<context>\nassign V917033 = V560908 + 1. assign V203733 = V886096 + 1. assign V278571 = V886096 + 1. assign V845199 = V741042 - 1. assign V433288 = V350008 + 1. assign V234047 = V350008 - 1. assign V188946 = 7. assign V837381 = V433288. assign V247979 = V757933. assign V025235 = V648372 - 1. assign V052170 = V990008 + 1. assign V685481 = V560908 - 1. assign V022597 = V941644 - 1. assign V250775 = V234047. assign V818985 = V012380 - 1. assign V757933 = V431510 + 1. assign V153276 = V175547 - 1. assign V664615 = V934234 + 1. assign V396598 = V350008 + 1. assign V308514 = V152055 + 1. assign V197461 = V648372 + 1. assign V990008 = V714965. assign V338172 = V308514 + 1. assign V185054 = V886096 - 1. assign V152055 = V433288. assign V504155 = V132760. assign V731956 = V355827. assign V133751 = V526086 - 1. assign V101171 = V655356 - 1. assign V391505 = V648372. assign V141915 = V152055. assign V645918 = V452122 + 1. assign V907717 = V838304 + 1. assign V542309 = V128920. assign V741042 = V886096. assign V714965 = V203733. assign V996992 = V234047 + 1. assign V685814 = V560908. assign V905714 = V132760 + 1. assign V560908 = V203733. assign V485642 = V716723 + 1. assign V042451 = V714965. assign V934234 = V350008. assign V015938 = V585384 + 1. assign V937213 = V721388 - 1. assign V029517 = V218879 + 1. assign V080527 = V133751. assign V526086 = V431510 - 1. assign V585384 = V203733 + 1. assign V012380 = V648372. assign V019990 = V431510. assign V452122 = V585384. assign V736782 = V714965. assign V482485 = V029517 + 1. assign V132760 = V714965 + 1. assign V859991 = V560908. assign V431510 = V218879 + 1. assign V324890 = V504155 + 1. assign V716723 = V714965 - 1. assign V950752 = V188946 - 1. assign V648372 = V175547. assign V355827 = V391505. assign V739228 = V482485 - 1. assign V875606 = V837381 - 1. assign V703043 = V029517 - 1. assign V107182 = V166267 - 1. assign V841812 = V128920. assign V128920 = V218879 - 1. assign V478411 = V482485 + 1. assign V218879 = V585384. assign V112585 = V917033 - 1. assign V025585 = V029517 + 1. assign V350008 = V585384 - 1. assign V725305 = V845199. assign V751033 = V485642 + 1. assign V159120 = V350008. assign V721388 = V585384 + 1. assign V166267 = V648372 - 1. assign V838304 = V714965 + 1. assign V518109 = V526086 + 1. assign V655356 = V732790 + 1. assign V941644 = V741042 - 1. assign V732790 = V350008 - 1. assign V175547 = V741042. assign V483667 = V175547. assign V949564 = V133751 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V917033 = V560908 + 1. assign V203733 = V886096 + 1. assign V278571 = V886096 + 1. assign V845199 = V741042 - 1. assign V433288 = V350008 + 1. assign V234047 = V350008 - 1. assign V188946 = 7. assign V837381 = V433288. assign V247979 = V757933. assign V025235 = V648372 - 1. assign V052170 = V990008 + 1. assign V685481 = V560908 - 1. assign V022597 = V941644 - 1. assign V250775 = V234047. assign V818985 = V012380 - 1. assign V757933 = V431510 + 1. assign V153276 = V175547 - 1. assign V664615 = V934234 + 1. assign V396598 = V350008 + 1. assign V308514 = V152055 + 1. assign V197461 = V648372 + 1. assign V990008 = V714965. assign V338172 = V308514 + 1. assign V185054 = V886096 - 1. assign V152055 = V433288. assign V504155 = V132760. assign V731956 = V355827. assign V133751 = V526086 - 1. assign V101171 = V655356 - 1. assign V391505 = V648372. assign V141915 = V152055. assign V645918 = V452122 + 1. assign V907717 = V838304 + 1. assign V542309 = V128920. assign V741042 = V886096. assign V714965 = V203733. assign V996992 = V234047 + 1. assign V685814 = V560908. assign V905714 = V132760 + 1. assign V560908 = V203733. assign V485642 = V716723 + 1. assign V042451 = V714965. assign V934234 = V350008. assign V015938 = V585384 + 1. assign V937213 = V721388 - 1. assign V029517 = V218879 + 1. assign V080527 = V133751. assign V526086 = V431510 - 1. assign V585384 = V203733 + 1. assign V012380 = V648372. assign V019990 = V431510. assign V452122 = V585384. assign V736782 = V714965. assign V482485 = V029517 + 1. assign V132760 = V714965 + 1. assign V859991 = V560908. assign V431510 = V218879 + 1. assign V324890 = V504155 + 1. assign V716723 = V714965 - 1. assign V950752 = V188946 - 1. assign V648372 = V175547. assign V355827 = V391505. assign V739228 = V482485 - 1. assign V875606 = V837381 - 1. assign V703043 = V029517 - 1. assign V107182 = V166267 - 1. assign V841812 = V128920. assign V128920 = V218879 - 1. assign V478411 = V482485 + 1. assign V218879 = V585384. assign V112585 = V917033 - 1. assign V025585 = V029517 + 1. assign V350008 = V585384 - 1. assign V725305 = V845199. assign V751033 = V485642 + 1. assign V159120 = V350008. assign V721388 = V585384 + 1. assign V166267 = V648372 - 1. assign V838304 = V714965 + 1. assign V518109 = V526086 + 1. assign V655356 = V732790 + 1. assign V941644 = V741042 - 1. assign V732790 = V350008 - 1. assign V175547 = V741042. assign V483667 = V175547. assign V949564 = V133751 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV188946 = 7;\n\nFrom these direct assignment(s), we have: \nV950752 = V188946 - 1 = 7 - 1 =6;\nNo other variables can be derived from V950752;\nNo other variables can be derived from V188946;\n\nNow we have done all the calculations. Derived variables are:\nV188946 = 7;\nV950752 = 6;\n\nNow we have finished this problem. ANSWER:\nV188946\n", "role": "assistant" } ]

[ "V814484", "V996394" ]

[ { "content": "<context>\nassign V247665 = V061142. assign V636590 = V903938 - 1. assign V675654 = V988015 - 1. assign V446798 = V493228 - 1. assign V190631 = V708937 + 1. assign V169296 = V708937. assign V460394 = V248673. assign V337925 = V131276. assign V596896 = V713449 + 1. assign V704125 = V988015 + 1. assign V713449 = V169296. assign V027722 = V237725 - 1. assign V364701 = V376663 + 1. assign V799658 = V169296. assign V161816 = V988015 - 1. assign V736473 = V988015 + 1. assign V949800 = V237725 - 1. assign V645836 = V333104. assign V503793 = V493228 + 1. assign V283755 = V237725. assign V304031 = V099546. assign V923717 = V131276 + 1. assign V237725 = V704125 - 1. assign V766366 = V145312 + 1. assign V355106 = V988015 + 1. assign V989027 = V033848 - 1. assign V708937 = V248673 - 1. assign V540620 = V282829 - 1. assign V833198 = V704125. assign V381200 = V161816. assign V792184 = V669752 + 1. assign V556945 = V025509 - 1. assign V377887 = V025509. assign V121581 = V459054 - 1. assign V510186 = V718131 + 1. assign V990711 = V669752 - 1. assign V282829 = V675654. assign V988015 = V033848 - 1. assign V996394 = V814484. assign V033799 = V585264. assign V263861 = V981671. assign V897067 = V503793 + 1. assign V557134 = V836220 + 1. assign V165792 = V025509 - 1. assign V814484 = 0. assign V556468 = V904514 - 1. assign V713321 = V600327 - 1. assign V669752 = V165792 + 1. assign V620864 = V282829. assign V493228 = V145312 - 1. assign V977763 = V376663. assign V585264 = V033848. assign V903938 = V460394 + 1. assign V836220 = V704125 - 1. assign V352965 = V460394 - 1. assign V692920 = V121581. assign V344359 = V283755 - 1. assign V853748 = V718131 - 1. assign V981671 = V061142 - 1. assign V339456 = V510186. assign V333104 = V422219 - 1. assign V827168 = V337925 - 1. assign V718131 = V381200 - 1. assign V072605 = V836220. assign V099546 = V033848. assign V134315 = V248673 + 1. assign V122835 = V977763 + 1. assign V968146 = V033848. assign V376663 = V708937 + 1. assign V600327 = V708937 - 1. assign V061142 = V556945 - 1. assign V459054 = V989027 + 1. assign V904514 = V446798 - 1. assign V248673 = V446798 + 1. assign V011603 = V510186 + 1. assign V242179 = V487275 - 1. assign V140611 = V131276 + 1. assign V984498 = V704125. assign V998537 = V355106. assign V487275 = V190631 - 1. assign V422219 = V134315. assign V033848 = V145312 + 1. assign V025509 = V145312. assign V728035 = V904514 - 1. assign V114004 = V487275. assign V131276 = V025509.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V247665 = V061142. assign V636590 = V903938 - 1. assign V675654 = V988015 - 1. assign V446798 = V493228 - 1. assign V190631 = V708937 + 1. assign V169296 = V708937. assign V460394 = V248673. assign V337925 = V131276. assign V596896 = V713449 + 1. assign V704125 = V988015 + 1. assign V713449 = V169296. assign V027722 = V237725 - 1. assign V364701 = V376663 + 1. assign V799658 = V169296. assign V161816 = V988015 - 1. assign V736473 = V988015 + 1. assign V949800 = V237725 - 1. assign V645836 = V333104. assign V503793 = V493228 + 1. assign V283755 = V237725. assign V304031 = V099546. assign V923717 = V131276 + 1. assign V237725 = V704125 - 1. assign V766366 = V145312 + 1. assign V355106 = V988015 + 1. assign V989027 = V033848 - 1. assign V708937 = V248673 - 1. assign V540620 = V282829 - 1. assign V833198 = V704125. assign V381200 = V161816. assign V792184 = V669752 + 1. assign V556945 = V025509 - 1. assign V377887 = V025509. assign V121581 = V459054 - 1. assign V510186 = V718131 + 1. assign V990711 = V669752 - 1. assign V282829 = V675654. assign V988015 = V033848 - 1. assign V996394 = V814484. assign V033799 = V585264. assign V263861 = V981671. assign V897067 = V503793 + 1. assign V557134 = V836220 + 1. assign V165792 = V025509 - 1. assign V814484 = 0. assign V556468 = V904514 - 1. assign V713321 = V600327 - 1. assign V669752 = V165792 + 1. assign V620864 = V282829. assign V493228 = V145312 - 1. assign V977763 = V376663. assign V585264 = V033848. assign V903938 = V460394 + 1. assign V836220 = V704125 - 1. assign V352965 = V460394 - 1. assign V692920 = V121581. assign V344359 = V283755 - 1. assign V853748 = V718131 - 1. assign V981671 = V061142 - 1. assign V339456 = V510186. assign V333104 = V422219 - 1. assign V827168 = V337925 - 1. assign V718131 = V381200 - 1. assign V072605 = V836220. assign V099546 = V033848. assign V134315 = V248673 + 1. assign V122835 = V977763 + 1. assign V968146 = V033848. assign V376663 = V708937 + 1. assign V600327 = V708937 - 1. assign V061142 = V556945 - 1. assign V459054 = V989027 + 1. assign V904514 = V446798 - 1. assign V248673 = V446798 + 1. assign V011603 = V510186 + 1. assign V242179 = V487275 - 1. assign V140611 = V131276 + 1. assign V984498 = V704125. assign V998537 = V355106. assign V487275 = V190631 - 1. assign V422219 = V134315. assign V033848 = V145312 + 1. assign V025509 = V145312. assign V728035 = V904514 - 1. assign V114004 = V487275. assign V131276 = V025509.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV814484 = 0;\n\nFrom these direct assignment(s), we have: \nV996394 = V814484 = 0;\nNo other variables can be derived from V996394;\nNo other variables can be derived from V814484;\n\nNow we have done all the calculations. Derived variables are:\nV814484 = 0;\nV996394 = 0;\n\nNow we have finished this problem. ANSWER:\nV814484, V996394\n", "role": "assistant" } ]

[ "V914189" ]

[ { "content": "<context>\nassign V190026 = V545233. assign V051316 = V826413. assign V222366 = V843945. assign V270603 = V763128 + 1. assign V546343 = V024605. assign V682046 = V515459. assign V970560 = V435438 + 1. assign V765242 = V490600 + 1. assign V986812 = V997004 - 1. assign V545233 = V843945 + 1. assign V661866 = V350222 + 1. assign V787955 = V288215 + 1. assign V443122 = V490600. assign V096108 = V385568. assign V843945 = V167953 + 1. assign V826413 = V843945 + 1. assign V565836 = V462384 + 1. assign V934622 = V288215 + 1. assign V875968 = V973571 + 1. assign V357577 = V003076 - 1. assign V340658 = V042342 - 1. assign V945797 = V575526 - 1. assign V060177 = V986812. assign V831351 = V934622 - 1. assign V385568 = V024605 - 1. assign V902761 = V588418 + 1. assign V944183 = V653981. assign V301258 = V123022 - 1. assign V490600 = V494403. assign V032663 = V536641. assign V362908 = V997004. assign V862739 = 7. assign V785499 = V123022. assign V973571 = V357577 + 1. assign V364254 = V003076 + 1. assign V205600 = V350222 - 1. assign V873538 = V638163. assign V588418 = V662193. assign V216567 = V385568. assign V167953 = V588418 - 1. assign V423260 = V350222. assign V715036 = V662193 + 1. assign V616521 = V843945. assign V987694 = V545233 - 1. assign V388426 = V494403. assign V426236 = V986812. assign V042342 = V986812 - 1. assign V653981 = V546343 + 1. assign V022700 = V364254. assign V344245 = V934622 - 1. assign V536641 = V390644 - 1. assign V273031 = V288215 + 1. assign V158143 = V616521 - 1. assign V575526 = V013872 - 1. assign V932076 = V167953. assign V022059 = V357577. assign V997004 = V662193 + 1. assign V308792 = V441616. assign V638163 = V435438 - 1. assign V914189 = V862739 - 1. assign V123022 = V575526 + 1. assign V505327 = V216567 + 1. assign V441616 = V763831. assign V013872 = V662193. assign V174400 = V426236 - 1. assign V191870 = V932076. assign V763128 = V435438 + 1. assign V270204 = V003076 + 1. assign V976279 = V423260 + 1. assign V677693 = V902761. assign V515459 = V970560 - 1. assign V633209 = V787955 + 1. assign V288215 = V301258 - 1. assign V163570 = V022700 - 1. assign V435438 = V997004. assign V350222 = V997004. assign V119532 = V364254 + 1. assign V003076 = V588418 + 1. assign V642346 = V682046 - 1. assign V390644 = V167953 - 1. assign V462384 = V970560 + 1. assign V494403 = V997004 - 1. assign V763831 = V288215 + 1. assign V222766 = V682046 - 1. assign V024605 = V167953. assign V663805 = V288215 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V190026 = V545233. assign V051316 = V826413. assign V222366 = V843945. assign V270603 = V763128 + 1. assign V546343 = V024605. assign V682046 = V515459. assign V970560 = V435438 + 1. assign V765242 = V490600 + 1. assign V986812 = V997004 - 1. assign V545233 = V843945 + 1. assign V661866 = V350222 + 1. assign V787955 = V288215 + 1. assign V443122 = V490600. assign V096108 = V385568. assign V843945 = V167953 + 1. assign V826413 = V843945 + 1. assign V565836 = V462384 + 1. assign V934622 = V288215 + 1. assign V875968 = V973571 + 1. assign V357577 = V003076 - 1. assign V340658 = V042342 - 1. assign V945797 = V575526 - 1. assign V060177 = V986812. assign V831351 = V934622 - 1. assign V385568 = V024605 - 1. assign V902761 = V588418 + 1. assign V944183 = V653981. assign V301258 = V123022 - 1. assign V490600 = V494403. assign V032663 = V536641. assign V362908 = V997004. assign V862739 = 7. assign V785499 = V123022. assign V973571 = V357577 + 1. assign V364254 = V003076 + 1. assign V205600 = V350222 - 1. assign V873538 = V638163. assign V588418 = V662193. assign V216567 = V385568. assign V167953 = V588418 - 1. assign V423260 = V350222. assign V715036 = V662193 + 1. assign V616521 = V843945. assign V987694 = V545233 - 1. assign V388426 = V494403. assign V426236 = V986812. assign V042342 = V986812 - 1. assign V653981 = V546343 + 1. assign V022700 = V364254. assign V344245 = V934622 - 1. assign V536641 = V390644 - 1. assign V273031 = V288215 + 1. assign V158143 = V616521 - 1. assign V575526 = V013872 - 1. assign V932076 = V167953. assign V022059 = V357577. assign V997004 = V662193 + 1. assign V308792 = V441616. assign V638163 = V435438 - 1. assign V914189 = V862739 - 1. assign V123022 = V575526 + 1. assign V505327 = V216567 + 1. assign V441616 = V763831. assign V013872 = V662193. assign V174400 = V426236 - 1. assign V191870 = V932076. assign V763128 = V435438 + 1. assign V270204 = V003076 + 1. assign V976279 = V423260 + 1. assign V677693 = V902761. assign V515459 = V970560 - 1. assign V633209 = V787955 + 1. assign V288215 = V301258 - 1. assign V163570 = V022700 - 1. assign V435438 = V997004. assign V350222 = V997004. assign V119532 = V364254 + 1. assign V003076 = V588418 + 1. assign V642346 = V682046 - 1. assign V390644 = V167953 - 1. assign V462384 = V970560 + 1. assign V494403 = V997004 - 1. assign V763831 = V288215 + 1. assign V222766 = V682046 - 1. assign V024605 = V167953. assign V663805 = V288215 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV862739 = 7;\n\nFrom these direct assignment(s), we have: \nV914189 = V862739 - 1 = 7 - 1 =6;\nNo other variables can be derived from V914189;\nNo other variables can be derived from V862739;\n\nNow we have done all the calculations. Derived variables are:\nV862739 = 7;\nV914189 = 6;\n\nNow we have finished this problem. ANSWER:\nV914189\n", "role": "assistant" } ]

[ "V037686" ]

[ { "content": "<context>\nassign V868929 = V717976. assign V190357 = V856480 - 1. assign V641887 = V324359 + 1. assign V671646 = V928619 - 1. assign V146420 = V532404. assign V957855 = V846380 - 1. assign V432318 = V532404 - 1. assign V197668 = V928619 + 1. assign V255009 = V448345. assign V750737 = V532404 + 1. assign V337702 = V583573 - 1. assign V956624 = V509117 + 1. assign V756642 = V832497. assign V877732 = V197668. assign V743113 = V750737 + 1. assign V149600 = V970586 - 1. assign V583573 = V750737 + 1. assign V558304 = V754917 + 1. assign V448345 = V689031. assign V008845 = V877732 + 1. assign V374328 = V557686. assign V446992 = V658208. assign V176120 = V015481. assign V754917 = V970586 + 1. assign V324359 = V583573 + 1. assign V403059 = V533284 - 1. assign V658208 = V956624 - 1. assign V037686 = 7. assign V409358 = V512307 + 1. assign V557686 = V750737 + 1. assign V318315 = V671646. assign V856480 = V512307 + 1. assign V558290 = V957855. assign V598386 = V190357. assign V477456 = V123352 + 1. assign V846380 = V509117 - 1. assign V679780 = V255009. assign V661677 = V862824 - 1. assign V300423 = V970586 + 1. assign V862824 = V532404. assign V016821 = V509117. assign V689031 = V970586 - 1. assign V882182 = V970586. assign V200747 = V862824 - 1. assign V003484 = V689031 + 1. assign V532404 = V970586 - 1. assign V015481 = V374328. assign V123352 = V862824 + 1. assign V350607 = V862351 - 1. assign V828913 = V015481 + 1. assign V675645 = V832497 + 1. assign V625654 = V875640 - 1. assign V717976 = V928619. assign V858937 = V432318 - 1. assign V869691 = V658208. assign V195612 = V272013 - 1. assign V771030 = V350607. assign V862351 = V750737 + 1. assign V509117 = V754917 + 1. assign V197625 = V546996. assign V533284 = V540296. assign V225972 = V272013. assign V733859 = V016821 + 1. assign V168462 = V557686. assign V272013 = V846380. assign V832497 = V284917 - 1. assign V191090 = V197668 - 1. assign V471442 = V037686 + 1. assign V925412 = V970586 - 1. assign V875640 = V925412. assign V546996 = V956624. assign V162578 = V374328 - 1. assign V349225 = V862824 - 1. assign V899269 = V272013. assign V928619 = V557686. assign V512307 = V743113 - 1. assign V685923 = V512307 + 1. assign V150058 = V754917 + 1. assign V506271 = V255009. assign V348508 = V123352 - 1. assign V296845 = V671646. assign V284917 = V956624 - 1. assign V540296 = V432318. assign V616655 = V168462 + 1. assign V835684 = V661677 - 1. assign V289456 = V546996 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V868929 = V717976. assign V190357 = V856480 - 1. assign V641887 = V324359 + 1. assign V671646 = V928619 - 1. assign V146420 = V532404. assign V957855 = V846380 - 1. assign V432318 = V532404 - 1. assign V197668 = V928619 + 1. assign V255009 = V448345. assign V750737 = V532404 + 1. assign V337702 = V583573 - 1. assign V956624 = V509117 + 1. assign V756642 = V832497. assign V877732 = V197668. assign V743113 = V750737 + 1. assign V149600 = V970586 - 1. assign V583573 = V750737 + 1. assign V558304 = V754917 + 1. assign V448345 = V689031. assign V008845 = V877732 + 1. assign V374328 = V557686. assign V446992 = V658208. assign V176120 = V015481. assign V754917 = V970586 + 1. assign V324359 = V583573 + 1. assign V403059 = V533284 - 1. assign V658208 = V956624 - 1. assign V037686 = 7. assign V409358 = V512307 + 1. assign V557686 = V750737 + 1. assign V318315 = V671646. assign V856480 = V512307 + 1. assign V558290 = V957855. assign V598386 = V190357. assign V477456 = V123352 + 1. assign V846380 = V509117 - 1. assign V679780 = V255009. assign V661677 = V862824 - 1. assign V300423 = V970586 + 1. assign V862824 = V532404. assign V016821 = V509117. assign V689031 = V970586 - 1. assign V882182 = V970586. assign V200747 = V862824 - 1. assign V003484 = V689031 + 1. assign V532404 = V970586 - 1. assign V015481 = V374328. assign V123352 = V862824 + 1. assign V350607 = V862351 - 1. assign V828913 = V015481 + 1. assign V675645 = V832497 + 1. assign V625654 = V875640 - 1. assign V717976 = V928619. assign V858937 = V432318 - 1. assign V869691 = V658208. assign V195612 = V272013 - 1. assign V771030 = V350607. assign V862351 = V750737 + 1. assign V509117 = V754917 + 1. assign V197625 = V546996. assign V533284 = V540296. assign V225972 = V272013. assign V733859 = V016821 + 1. assign V168462 = V557686. assign V272013 = V846380. assign V832497 = V284917 - 1. assign V191090 = V197668 - 1. assign V471442 = V037686 + 1. assign V925412 = V970586 - 1. assign V875640 = V925412. assign V546996 = V956624. assign V162578 = V374328 - 1. assign V349225 = V862824 - 1. assign V899269 = V272013. assign V928619 = V557686. assign V512307 = V743113 - 1. assign V685923 = V512307 + 1. assign V150058 = V754917 + 1. assign V506271 = V255009. assign V348508 = V123352 - 1. assign V296845 = V671646. assign V284917 = V956624 - 1. assign V540296 = V432318. assign V616655 = V168462 + 1. assign V835684 = V661677 - 1. assign V289456 = V546996 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV037686 = 7;\n\nFrom these direct assignment(s), we have: \nV471442 = V037686 + 1 = 7 + 1 =8;\nNo other variables can be derived from V471442;\nNo other variables can be derived from V037686;\n\nNow we have done all the calculations. Derived variables are:\nV037686 = 7;\nV471442 = 8;\n\nNow we have finished this problem. ANSWER:\nV037686\n", "role": "assistant" } ]

[ "V939870", "V480560" ]

[ { "content": "<context>\nassign V095970 = V591125 - 1. assign V247286 = V846626 + 1. assign V161034 = V978017. assign V927261 = V813737. assign V677507 = V171313. assign V464012 = V554994. assign V430021 = V187116. assign V161222 = V664120. assign V591769 = V978017. assign V944273 = V414716. assign V236813 = V180251 - 1. assign V635814 = V001759 - 1. assign V115871 = V224359 + 1. assign V735878 = V001759 - 1. assign V591125 = V414716. assign V408617 = V279052. assign V246449 = V970405. assign V664120 = V157410. assign V414716 = V166596 + 1. assign V077135 = V494955 - 1. assign V001759 = V414716 - 1. assign V771615 = V180251 + 1. assign V480560 = V939870. assign V181977 = V224359 - 1. assign V386879 = V585743. assign V343273 = V478551 + 1. assign V473058 = V187116 - 1. assign V871570 = V677507 - 1. assign V970405 = V000977 + 1. assign V000977 = V166596. assign V939870 = 6. assign V193790 = V166596 + 1. assign V171313 = V897856 - 1. assign V860281 = V238614 + 1. assign V028570 = V977716 + 1. assign V782666 = V970405 - 1. assign V330398 = V161034 + 1. assign V238614 = V548197 + 1. assign V176438 = V000977 + 1. assign V023003 = V927261 + 1. assign V985571 = V526917. assign V180251 = V813737 - 1. assign V614271 = V009192. assign V554994 = V843294. assign V813737 = V000977 - 1. assign V494955 = V554994 - 1. assign V137932 = V977716. assign V870389 = V977716 + 1. assign V897856 = V000977. assign V548197 = V843294 + 1. assign V825029 = V408617. assign V487886 = V224359. assign V702669 = V222358. assign V846626 = V278147. assign V075915 = V494955 - 1. assign V478551 = V664120 + 1. assign V672547 = V222358. assign V323533 = V009192 + 1. assign V040250 = V155990. assign V224359 = V157410 - 1. assign V034846 = V330398 + 1. assign V526917 = V166596. assign V009192 = V591769 + 1. assign V187116 = V843294. assign V049579 = V240513 + 1. assign V737839 = V009192 - 1. assign V883646 = V700833 + 1. assign V978017 = V166596 + 1. assign V585743 = V157410 - 1. assign V700833 = V664120. assign V155990 = V591769. assign V977716 = V978017 + 1. assign V494575 = V494955. assign V016834 = V155990 + 1. assign V279052 = V672547 - 1. assign V240513 = V494955. assign V157410 = V166596 - 1. assign V356658 = V330398 - 1. assign V367047 = V187116 + 1. assign V139981 = V978017. assign V843294 = V166596. assign V184844 = V278147 + 1. assign V222358 = V000977 + 1. assign V478484 = V635814 + 1. assign V921652 = V970405 + 1. assign V278147 = V702669 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V095970 = V591125 - 1. assign V247286 = V846626 + 1. assign V161034 = V978017. assign V927261 = V813737. assign V677507 = V171313. assign V464012 = V554994. assign V430021 = V187116. assign V161222 = V664120. assign V591769 = V978017. assign V944273 = V414716. assign V236813 = V180251 - 1. assign V635814 = V001759 - 1. assign V115871 = V224359 + 1. assign V735878 = V001759 - 1. assign V591125 = V414716. assign V408617 = V279052. assign V246449 = V970405. assign V664120 = V157410. assign V414716 = V166596 + 1. assign V077135 = V494955 - 1. assign V001759 = V414716 - 1. assign V771615 = V180251 + 1. assign V480560 = V939870. assign V181977 = V224359 - 1. assign V386879 = V585743. assign V343273 = V478551 + 1. assign V473058 = V187116 - 1. assign V871570 = V677507 - 1. assign V970405 = V000977 + 1. assign V000977 = V166596. assign V939870 = 6. assign V193790 = V166596 + 1. assign V171313 = V897856 - 1. assign V860281 = V238614 + 1. assign V028570 = V977716 + 1. assign V782666 = V970405 - 1. assign V330398 = V161034 + 1. assign V238614 = V548197 + 1. assign V176438 = V000977 + 1. assign V023003 = V927261 + 1. assign V985571 = V526917. assign V180251 = V813737 - 1. assign V614271 = V009192. assign V554994 = V843294. assign V813737 = V000977 - 1. assign V494955 = V554994 - 1. assign V137932 = V977716. assign V870389 = V977716 + 1. assign V897856 = V000977. assign V548197 = V843294 + 1. assign V825029 = V408617. assign V487886 = V224359. assign V702669 = V222358. assign V846626 = V278147. assign V075915 = V494955 - 1. assign V478551 = V664120 + 1. assign V672547 = V222358. assign V323533 = V009192 + 1. assign V040250 = V155990. assign V224359 = V157410 - 1. assign V034846 = V330398 + 1. assign V526917 = V166596. assign V009192 = V591769 + 1. assign V187116 = V843294. assign V049579 = V240513 + 1. assign V737839 = V009192 - 1. assign V883646 = V700833 + 1. assign V978017 = V166596 + 1. assign V585743 = V157410 - 1. assign V700833 = V664120. assign V155990 = V591769. assign V977716 = V978017 + 1. assign V494575 = V494955. assign V016834 = V155990 + 1. assign V279052 = V672547 - 1. assign V240513 = V494955. assign V157410 = V166596 - 1. assign V356658 = V330398 - 1. assign V367047 = V187116 + 1. assign V139981 = V978017. assign V843294 = V166596. assign V184844 = V278147 + 1. assign V222358 = V000977 + 1. assign V478484 = V635814 + 1. assign V921652 = V970405 + 1. assign V278147 = V702669 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV939870 = 6;\n\nFrom these direct assignment(s), we have: \nV480560 = V939870 = 6;\nNo other variables can be derived from V480560;\nNo other variables can be derived from V939870;\n\nNow we have done all the calculations. Derived variables are:\nV939870 = 6;\nV480560 = 6;\n\nNow we have finished this problem. ANSWER:\nV939870, V480560\n", "role": "assistant" } ]

[ "V973385", "V584768" ]

[ { "content": "<context>\nassign V384845 = V295844. assign V957230 = V518191 - 1. assign V463447 = V228863. assign V146630 = V215592 - 1. assign V333302 = V929486. assign V228863 = V901407. assign V999387 = V689630. assign V830593 = V661558 + 1. assign V903430 = V704463 + 1. assign V518191 = V949818 + 1. assign V272649 = V912984 - 1. assign V092912 = V844581 - 1. assign V704463 = V202861. assign V869652 = V957230 + 1. assign V224029 = V419279 - 1. assign V661558 = V425367. assign V103257 = V859708 + 1. assign V297469 = V749606 + 1. assign V831329 = V949818. assign V492241 = V357996. assign V310022 = V661558. assign V926771 = V072571 + 1. assign V215592 = V481275 + 1. assign V617354 = V703176 + 1. assign V756528 = V425367 - 1. assign V481275 = V957230 - 1. assign V209014 = V831329 + 1. assign V770691 = V971140 - 1. assign V728177 = V072571 + 1. assign V295844 = V949818 - 1. assign V901407 = V919417 + 1. assign V777992 = V728177 - 1. assign V238569 = V419279. assign V703176 = V919417 - 1. assign V140761 = V295844 - 1. assign V844581 = V919417 + 1. assign V535374 = V749606. assign V499697 = V339765 + 1. assign V675987 = V228863 - 1. assign V302249 = V831329 - 1. assign V563921 = V295655. assign V072571 = V770691. assign V012114 = V357996 - 1. assign V007528 = V957230 + 1. assign V689176 = V143978 + 1. assign V339765 = V215592 + 1. assign V425367 = V957230 + 1. assign V689630 = V919417 + 1. assign V372341 = V405454 - 1. assign V407851 = V481275 + 1. assign V706373 = V419279 + 1. assign V973385 = 8. assign V419279 = V831329 + 1. assign V584768 = V973385. assign V176381 = V859708. assign V144080 = V425367. assign V663508 = V007528 - 1. assign V949818 = V143978. assign V365778 = V929486 - 1. assign V382711 = V689176. assign V495788 = V339765 + 1. assign V971140 = V957230 - 1. assign V957718 = V901407 + 1. assign V749606 = V901407 - 1. assign V319910 = V416536 + 1. assign V911950 = V728177 + 1. assign V912984 = V302249. assign V405454 = V844581 + 1. assign V295655 = V297469 + 1. assign V799864 = V689630. assign V416536 = V425367. assign V919417 = V949818. assign V530161 = V215592 + 1. assign V357996 = V971140 - 1. assign V692926 = V617354 + 1. assign V357225 = V105560. assign V725208 = V092912. assign V986129 = V499697 - 1. assign V202861 = V228863 + 1. assign V519836 = V949818 - 1. assign V929486 = V725208 + 1. assign V105560 = V830593 - 1. assign V023319 = V416536 - 1. assign V570209 = V704463 - 1. assign V859708 = V224029. assign V564436 = V425367 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V384845 = V295844. assign V957230 = V518191 - 1. assign V463447 = V228863. assign V146630 = V215592 - 1. assign V333302 = V929486. assign V228863 = V901407. assign V999387 = V689630. assign V830593 = V661558 + 1. assign V903430 = V704463 + 1. assign V518191 = V949818 + 1. assign V272649 = V912984 - 1. assign V092912 = V844581 - 1. assign V704463 = V202861. assign V869652 = V957230 + 1. assign V224029 = V419279 - 1. assign V661558 = V425367. assign V103257 = V859708 + 1. assign V297469 = V749606 + 1. assign V831329 = V949818. assign V492241 = V357996. assign V310022 = V661558. assign V926771 = V072571 + 1. assign V215592 = V481275 + 1. assign V617354 = V703176 + 1. assign V756528 = V425367 - 1. assign V481275 = V957230 - 1. assign V209014 = V831329 + 1. assign V770691 = V971140 - 1. assign V728177 = V072571 + 1. assign V295844 = V949818 - 1. assign V901407 = V919417 + 1. assign V777992 = V728177 - 1. assign V238569 = V419279. assign V703176 = V919417 - 1. assign V140761 = V295844 - 1. assign V844581 = V919417 + 1. assign V535374 = V749606. assign V499697 = V339765 + 1. assign V675987 = V228863 - 1. assign V302249 = V831329 - 1. assign V563921 = V295655. assign V072571 = V770691. assign V012114 = V357996 - 1. assign V007528 = V957230 + 1. assign V689176 = V143978 + 1. assign V339765 = V215592 + 1. assign V425367 = V957230 + 1. assign V689630 = V919417 + 1. assign V372341 = V405454 - 1. assign V407851 = V481275 + 1. assign V706373 = V419279 + 1. assign V973385 = 8. assign V419279 = V831329 + 1. assign V584768 = V973385. assign V176381 = V859708. assign V144080 = V425367. assign V663508 = V007528 - 1. assign V949818 = V143978. assign V365778 = V929486 - 1. assign V382711 = V689176. assign V495788 = V339765 + 1. assign V971140 = V957230 - 1. assign V957718 = V901407 + 1. assign V749606 = V901407 - 1. assign V319910 = V416536 + 1. assign V911950 = V728177 + 1. assign V912984 = V302249. assign V405454 = V844581 + 1. assign V295655 = V297469 + 1. assign V799864 = V689630. assign V416536 = V425367. assign V919417 = V949818. assign V530161 = V215592 + 1. assign V357996 = V971140 - 1. assign V692926 = V617354 + 1. assign V357225 = V105560. assign V725208 = V092912. assign V986129 = V499697 - 1. assign V202861 = V228863 + 1. assign V519836 = V949818 - 1. assign V929486 = V725208 + 1. assign V105560 = V830593 - 1. assign V023319 = V416536 - 1. assign V570209 = V704463 - 1. assign V859708 = V224029. assign V564436 = V425367 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV973385 = 8;\n\nFrom these direct assignment(s), we have: \nV584768 = V973385 = 8;\nNo other variables can be derived from V584768;\nNo other variables can be derived from V973385;\n\nNow we have done all the calculations. Derived variables are:\nV973385 = 8;\nV584768 = 8;\n\nNow we have finished this problem. ANSWER:\nV973385, V584768\n", "role": "assistant" } ]

[ "V342998", "V017964" ]

[ { "content": "<context>\nassign V148033 = V992730. assign V743827 = V198368 + 1. assign V818424 = V802161. assign V469122 = V271314 + 1. assign V132705 = V491935. assign V386845 = V532652 - 1. assign V556679 = V491935 - 1. assign V802161 = V558176. assign V549213 = V924249 + 1. assign V566235 = V008266 - 1. assign V527572 = V339446. assign V669246 = V881304 + 1. assign V569110 = V549213 - 1. assign V283419 = V185243. assign V865638 = V939631 - 1. assign V793216 = V820877 - 1. assign V327507 = V182376 + 1. assign V687781 = V453992 - 1. assign V077052 = V453992 + 1. assign V339446 = V743827 + 1. assign V709638 = V041394. assign V768787 = V132705 + 1. assign V310352 = V201380 - 1. assign V142143 = V518634. assign V185243 = V475410 - 1. assign V924249 = V181302 + 1. assign V856974 = V331250. assign V134443 = V924249 - 1. assign V069946 = V881304. assign V182376 = V645906 + 1. assign V729425 = V669246 - 1. assign V438256 = V386845. assign V514201 = V148033 - 1. assign V137721 = V802161 - 1. assign V518634 = V992730 + 1. assign V558176 = V924249 + 1. assign V201380 = V008266 - 1. assign V881304 = V532652 - 1. assign V113199 = V041394. assign V452207 = V041394 + 1. assign V533440 = V324304 - 1. assign V939631 = V182376 - 1. assign V411296 = V569110 + 1. assign V324304 = V491935 - 1. assign V198368 = V516249. assign V453992 = V041394 - 1. assign V475410 = V881304 - 1. assign V516249 = V924249 + 1. assign V502074 = V491935 + 1. assign V556438 = V518634 - 1. assign V302376 = V626999 + 1. assign V419449 = V008266 - 1. assign V833346 = V148033. assign V069841 = V802161 + 1. assign V793223 = V518634. assign V342998 = 9. assign V271314 = V041394. assign V041394 = V645906 - 1. assign V820877 = V556679 - 1. assign V406608 = V518634 + 1. assign V645906 = V992730. assign V017964 = V342998. assign V656384 = V518634. assign V491627 = V406608 - 1. assign V757671 = V201380 + 1. assign V331250 = V008266. assign V341041 = V310352. assign V992730 = V181302 - 1. assign V532652 = V181302. assign V995924 = V491935 + 1. assign V098429 = V185243 - 1. assign V491935 = V996335 - 1. assign V481750 = V008266. assign V433068 = V514201. assign V626999 = V881304 + 1. assign V008266 = V148033 - 1. assign V181302 = V300538. assign V996335 = V181302. assign V125942 = V386845. assign V033982 = V148033 - 1. assign V459165 = V743827 + 1. assign V732629 = V481750. assign V407484 = V331250. assign V080503 = V142143 - 1. assign V492700 = V743827 - 1. assign V454701 = V995924 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V148033 = V992730. assign V743827 = V198368 + 1. assign V818424 = V802161. assign V469122 = V271314 + 1. assign V132705 = V491935. assign V386845 = V532652 - 1. assign V556679 = V491935 - 1. assign V802161 = V558176. assign V549213 = V924249 + 1. assign V566235 = V008266 - 1. assign V527572 = V339446. assign V669246 = V881304 + 1. assign V569110 = V549213 - 1. assign V283419 = V185243. assign V865638 = V939631 - 1. assign V793216 = V820877 - 1. assign V327507 = V182376 + 1. assign V687781 = V453992 - 1. assign V077052 = V453992 + 1. assign V339446 = V743827 + 1. assign V709638 = V041394. assign V768787 = V132705 + 1. assign V310352 = V201380 - 1. assign V142143 = V518634. assign V185243 = V475410 - 1. assign V924249 = V181302 + 1. assign V856974 = V331250. assign V134443 = V924249 - 1. assign V069946 = V881304. assign V182376 = V645906 + 1. assign V729425 = V669246 - 1. assign V438256 = V386845. assign V514201 = V148033 - 1. assign V137721 = V802161 - 1. assign V518634 = V992730 + 1. assign V558176 = V924249 + 1. assign V201380 = V008266 - 1. assign V881304 = V532652 - 1. assign V113199 = V041394. assign V452207 = V041394 + 1. assign V533440 = V324304 - 1. assign V939631 = V182376 - 1. assign V411296 = V569110 + 1. assign V324304 = V491935 - 1. assign V198368 = V516249. assign V453992 = V041394 - 1. assign V475410 = V881304 - 1. assign V516249 = V924249 + 1. assign V502074 = V491935 + 1. assign V556438 = V518634 - 1. assign V302376 = V626999 + 1. assign V419449 = V008266 - 1. assign V833346 = V148033. assign V069841 = V802161 + 1. assign V793223 = V518634. assign V342998 = 9. assign V271314 = V041394. assign V041394 = V645906 - 1. assign V820877 = V556679 - 1. assign V406608 = V518634 + 1. assign V645906 = V992730. assign V017964 = V342998. assign V656384 = V518634. assign V491627 = V406608 - 1. assign V757671 = V201380 + 1. assign V331250 = V008266. assign V341041 = V310352. assign V992730 = V181302 - 1. assign V532652 = V181302. assign V995924 = V491935 + 1. assign V098429 = V185243 - 1. assign V491935 = V996335 - 1. assign V481750 = V008266. assign V433068 = V514201. assign V626999 = V881304 + 1. assign V008266 = V148033 - 1. assign V181302 = V300538. assign V996335 = V181302. assign V125942 = V386845. assign V033982 = V148033 - 1. assign V459165 = V743827 + 1. assign V732629 = V481750. assign V407484 = V331250. assign V080503 = V142143 - 1. assign V492700 = V743827 - 1. assign V454701 = V995924 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV342998 = 9;\n\nFrom these direct assignment(s), we have: \nV017964 = V342998 = 9;\nNo other variables can be derived from V017964;\nNo other variables can be derived from V342998;\n\nNow we have done all the calculations. Derived variables are:\nV342998 = 9;\nV017964 = 9;\n\nNow we have finished this problem. ANSWER:\nV342998, V017964\n", "role": "assistant" } ]

[ "V936549", "V595332" ]

[ { "content": "<context>\nassign V436234 = V489633 + 1. assign V205484 = V267235 - 1. assign V224456 = V876724 + 1. assign V655543 = V303644. assign V936549 = 9. assign V694112 = V908115 + 1. assign V643019 = V152502 + 1. assign V765070 = V837365 + 1. assign V266205 = V876724 + 1. assign V329754 = V436234. assign V378062 = V466085 + 1. assign V303644 = V080674 + 1. assign V146656 = V863476 - 1. assign V839225 = V004589 + 1. assign V054812 = V720192 - 1. assign V216857 = V655543 + 1. assign V557453 = V442042 - 1. assign V767990 = V303644 - 1. assign V928567 = V908115 + 1. assign V267235 = V206073. assign V345046 = V295165 - 1. assign V595332 = V936549. assign V285704 = V266205 - 1. assign V466085 = V092959 + 1. assign V439684 = V116153. assign V876724 = V489633. assign V798880 = V489633 - 1. assign V152502 = V102969. assign V311330 = V439684. assign V981251 = V107289 + 1. assign V440490 = V303644. assign V046033 = V466085 - 1. assign V619812 = V295165. assign V102969 = V206073 + 1. assign V688568 = V839225 + 1. assign V086565 = V837365 - 1. assign V092959 = V259659. assign V667621 = V086565 - 1. assign V211178 = V837365 - 1. assign V330080 = V436234 - 1. assign V577427 = V004589 - 1. assign V046381 = V577427 - 1. assign V863476 = V329754 + 1. assign V159320 = V655543 - 1. assign V982985 = V837365 - 1. assign V726988 = V489633. assign V591929 = V346229 - 1. assign V771936 = V295165. assign V720192 = V086565. assign V490050 = V771936 - 1. assign V295165 = V206073 + 1. assign V116153 = V272812 + 1. assign V489633 = V837365 - 1. assign V206073 = V837365 - 1. assign V446556 = V655543 - 1. assign V116071 = V259659 - 1. assign V268240 = V436234 + 1. assign V307067 = V206073. assign V442042 = V330080 + 1. assign V810576 = V981251. assign V860316 = V908115 + 1. assign V346229 = V080674 - 1. assign V370914 = V837365. assign V614277 = V837365 + 1. assign V040138 = V440490 + 1. assign V042188 = V102969. assign V600922 = V295165 - 1. assign V080674 = V206073 + 1. assign V606750 = V439684 + 1. assign V176897 = V442042. assign V004589 = V863476. assign V710217 = V600922 + 1. assign V567990 = V436234 - 1. assign V837365 = V272812 + 1. assign V107289 = V619812 - 1. assign V089668 = V446556 - 1. assign V768043 = V600922 + 1. assign V908115 = V040138. assign V326623 = V329754 + 1. assign V897852 = V557453. assign V063278 = V620650 - 1. assign V132241 = V620650 - 1. assign V472299 = V567990 - 1. assign V259659 = V489633 - 1. assign V027020 = V619812. assign V620650 = V080674.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V436234 = V489633 + 1. assign V205484 = V267235 - 1. assign V224456 = V876724 + 1. assign V655543 = V303644. assign V936549 = 9. assign V694112 = V908115 + 1. assign V643019 = V152502 + 1. assign V765070 = V837365 + 1. assign V266205 = V876724 + 1. assign V329754 = V436234. assign V378062 = V466085 + 1. assign V303644 = V080674 + 1. assign V146656 = V863476 - 1. assign V839225 = V004589 + 1. assign V054812 = V720192 - 1. assign V216857 = V655543 + 1. assign V557453 = V442042 - 1. assign V767990 = V303644 - 1. assign V928567 = V908115 + 1. assign V267235 = V206073. assign V345046 = V295165 - 1. assign V595332 = V936549. assign V285704 = V266205 - 1. assign V466085 = V092959 + 1. assign V439684 = V116153. assign V876724 = V489633. assign V798880 = V489633 - 1. assign V152502 = V102969. assign V311330 = V439684. assign V981251 = V107289 + 1. assign V440490 = V303644. assign V046033 = V466085 - 1. assign V619812 = V295165. assign V102969 = V206073 + 1. assign V688568 = V839225 + 1. assign V086565 = V837365 - 1. assign V092959 = V259659. assign V667621 = V086565 - 1. assign V211178 = V837365 - 1. assign V330080 = V436234 - 1. assign V577427 = V004589 - 1. assign V046381 = V577427 - 1. assign V863476 = V329754 + 1. assign V159320 = V655543 - 1. assign V982985 = V837365 - 1. assign V726988 = V489633. assign V591929 = V346229 - 1. assign V771936 = V295165. assign V720192 = V086565. assign V490050 = V771936 - 1. assign V295165 = V206073 + 1. assign V116153 = V272812 + 1. assign V489633 = V837365 - 1. assign V206073 = V837365 - 1. assign V446556 = V655543 - 1. assign V116071 = V259659 - 1. assign V268240 = V436234 + 1. assign V307067 = V206073. assign V442042 = V330080 + 1. assign V810576 = V981251. assign V860316 = V908115 + 1. assign V346229 = V080674 - 1. assign V370914 = V837365. assign V614277 = V837365 + 1. assign V040138 = V440490 + 1. assign V042188 = V102969. assign V600922 = V295165 - 1. assign V080674 = V206073 + 1. assign V606750 = V439684 + 1. assign V176897 = V442042. assign V004589 = V863476. assign V710217 = V600922 + 1. assign V567990 = V436234 - 1. assign V837365 = V272812 + 1. assign V107289 = V619812 - 1. assign V089668 = V446556 - 1. assign V768043 = V600922 + 1. assign V908115 = V040138. assign V326623 = V329754 + 1. assign V897852 = V557453. assign V063278 = V620650 - 1. assign V132241 = V620650 - 1. assign V472299 = V567990 - 1. assign V259659 = V489633 - 1. assign V027020 = V619812. assign V620650 = V080674.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV936549 = 9;\n\nFrom these direct assignment(s), we have: \nV595332 = V936549 = 9;\nNo other variables can be derived from V595332;\nNo other variables can be derived from V936549;\n\nNow we have done all the calculations. Derived variables are:\nV936549 = 9;\nV595332 = 9;\n\nNow we have finished this problem. ANSWER:\nV936549, V595332\n", "role": "assistant" } ]

[ "V420382", "V371284" ]

[ { "content": "<context>\nassign V855035 = V099248. assign V435734 = V704495. assign V656383 = V912920 + 1. assign V617063 = V317510 - 1. assign V110263 = V994246 - 1. assign V355372 = V093706. assign V317510 = V439806 + 1. assign V132842 = V134130 - 1. assign V128518 = V230653 - 1. assign V770927 = V587187. assign V006416 = V920868 + 1. assign V994246 = V713796 + 1. assign V712859 = V301985 + 1. assign V000394 = V134130. assign V172538 = V022955 + 1. assign V576659 = V704495. assign V606742 = V587187 - 1. assign V808820 = V172538 - 1. assign V521915 = V099248 - 1. assign V050284 = V439806. assign V456197 = V017014. assign V420382 = 0. assign V513694 = V087044 - 1. assign V093706 = V984525 + 1. assign V641706 = V770927. assign V849996 = V984525 - 1. assign V022955 = V920868 + 1. assign V989093 = V043507. assign V078757 = V712859 + 1. assign V892513 = V099248. assign V731763 = V790979 + 1. assign V099248 = V244630 + 1. assign V806123 = V017014 - 1. assign V606993 = V435734. assign V164960 = V912920. assign V376397 = V317510. assign V184524 = V086244. assign V704495 = V317510. assign V266800 = V050284. assign V958286 = V022955 + 1. assign V916641 = V017014 + 1. assign V087044 = V172538 - 1. assign V587187 = V058269 + 1. assign V822355 = V439806 + 1. assign V086244 = V704495. assign V244630 = V017014 + 1. assign V475502 = V704495 - 1. assign V271739 = V984525 + 1. assign V713796 = V456197. assign V219161 = V156895. assign V702626 = V920868. assign V099034 = V093706. assign V134130 = V435734 + 1. assign V305666 = V920868 + 1. assign V058269 = V713796 + 1. assign V968946 = V317510 + 1. assign V156895 = V043507 + 1. assign V439806 = V017014 - 1. assign V622965 = V920868 - 1. assign V043507 = V439806 + 1. assign V310854 = V606742. assign V955703 = V916641 - 1. assign V677352 = V507933. assign V820741 = V317510 - 1. assign V008926 = V099248 + 1. assign V205917 = V822355 - 1. assign V920868 = V017014 + 1. assign V912920 = V043507. assign V230653 = V713796 + 1. assign V984525 = V475502. assign V766126 = V989093 - 1. assign V528356 = V475502 + 1. assign V902802 = V820741 + 1. assign V153974 = V994246 - 1. assign V750935 = V955703 + 1. assign V363501 = V244630 + 1. assign V371284 = V420382. assign V790979 = V927196 + 1. assign V246621 = V244630. assign V707414 = V093706. assign V927196 = V105366 + 1. assign V105366 = V521915 + 1. assign V664133 = V704495 + 1. assign V409617 = V713796 - 1. assign V301985 = V713796 - 1. assign V507933 = V099248 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V855035 = V099248. assign V435734 = V704495. assign V656383 = V912920 + 1. assign V617063 = V317510 - 1. assign V110263 = V994246 - 1. assign V355372 = V093706. assign V317510 = V439806 + 1. assign V132842 = V134130 - 1. assign V128518 = V230653 - 1. assign V770927 = V587187. assign V006416 = V920868 + 1. assign V994246 = V713796 + 1. assign V712859 = V301985 + 1. assign V000394 = V134130. assign V172538 = V022955 + 1. assign V576659 = V704495. assign V606742 = V587187 - 1. assign V808820 = V172538 - 1. assign V521915 = V099248 - 1. assign V050284 = V439806. assign V456197 = V017014. assign V420382 = 0. assign V513694 = V087044 - 1. assign V093706 = V984525 + 1. assign V641706 = V770927. assign V849996 = V984525 - 1. assign V022955 = V920868 + 1. assign V989093 = V043507. assign V078757 = V712859 + 1. assign V892513 = V099248. assign V731763 = V790979 + 1. assign V099248 = V244630 + 1. assign V806123 = V017014 - 1. assign V606993 = V435734. assign V164960 = V912920. assign V376397 = V317510. assign V184524 = V086244. assign V704495 = V317510. assign V266800 = V050284. assign V958286 = V022955 + 1. assign V916641 = V017014 + 1. assign V087044 = V172538 - 1. assign V587187 = V058269 + 1. assign V822355 = V439806 + 1. assign V086244 = V704495. assign V244630 = V017014 + 1. assign V475502 = V704495 - 1. assign V271739 = V984525 + 1. assign V713796 = V456197. assign V219161 = V156895. assign V702626 = V920868. assign V099034 = V093706. assign V134130 = V435734 + 1. assign V305666 = V920868 + 1. assign V058269 = V713796 + 1. assign V968946 = V317510 + 1. assign V156895 = V043507 + 1. assign V439806 = V017014 - 1. assign V622965 = V920868 - 1. assign V043507 = V439806 + 1. assign V310854 = V606742. assign V955703 = V916641 - 1. assign V677352 = V507933. assign V820741 = V317510 - 1. assign V008926 = V099248 + 1. assign V205917 = V822355 - 1. assign V920868 = V017014 + 1. assign V912920 = V043507. assign V230653 = V713796 + 1. assign V984525 = V475502. assign V766126 = V989093 - 1. assign V528356 = V475502 + 1. assign V902802 = V820741 + 1. assign V153974 = V994246 - 1. assign V750935 = V955703 + 1. assign V363501 = V244630 + 1. assign V371284 = V420382. assign V790979 = V927196 + 1. assign V246621 = V244630. assign V707414 = V093706. assign V927196 = V105366 + 1. assign V105366 = V521915 + 1. assign V664133 = V704495 + 1. assign V409617 = V713796 - 1. assign V301985 = V713796 - 1. assign V507933 = V099248 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV420382 = 0;\n\nFrom these direct assignment(s), we have: \nV371284 = V420382 = 0;\nNo other variables can be derived from V371284;\nNo other variables can be derived from V420382;\n\nNow we have done all the calculations. Derived variables are:\nV420382 = 0;\nV371284 = 0;\n\nNow we have finished this problem. ANSWER:\nV420382, V371284\n", "role": "assistant" } ]

[ "V459497" ]

[ { "content": "<context>\nassign V116713 = V297117 + 1. assign V677326 = V481646. assign V124277 = V271389 + 1. assign V161560 = V631110 - 1. assign V921632 = V868349 - 1. assign V271389 = V104626 + 1. assign V251834 = V133847 + 1. assign V262047 = V275508 + 1. assign V223438 = V539501 - 1. assign V611750 = V935009 + 1. assign V640038 = V958293 - 1. assign V354086 = V126266. assign V664137 = V539501 + 1. assign V104626 = V921632 + 1. assign V382053 = V423165 + 1. assign V631110 = V868349 - 1. assign V495803 = V989543 + 1. assign V154728 = V237834 - 1. assign V439227 = V154728 + 1. assign V174178 = V423165. assign V169956 = V868349 + 1. assign V865627 = V154728 + 1. assign V539501 = V631110 + 1. assign V216651 = V382053 - 1. assign V393013 = V354086. assign V183418 = V428849 - 1. assign V428849 = V542635 - 1. assign V935009 = V229418 + 1. assign V033423 = V640038 - 1. assign V076281 = V291516 - 1. assign V411791 = V570263 + 1. assign V427237 = V771982 + 1. assign V850814 = V542635 + 1. assign V481344 = V850814. assign V656722 = V503652. assign V275972 = V640038. assign V664708 = V927095. assign V989543 = V868349. assign V339066 = 6. assign V310068 = V927095 + 1. assign V133847 = V638115. assign V570263 = V640038. assign V858146 = V427237 - 1. assign V516270 = V631110. assign V286851 = V542635. assign V463076 = V174178 + 1. assign V400450 = V237834 - 1. assign V972866 = V229418 - 1. assign V192692 = V542635. assign V121739 = V463076 - 1. assign V771982 = V640038 + 1. assign V355097 = V489653 - 1. assign V126266 = V771982 - 1. assign V922476 = V121739. assign V673210 = V377468. assign V089118 = V927095 - 1. assign V423165 = V989543 + 1. assign V396566 = V154728 - 1. assign V638115 = V958293 - 1. assign V489653 = V958293. assign V481646 = V275508. assign V211603 = V427237. assign V361679 = V868349. assign V459497 = V339066 + 1. assign V275508 = V237834 + 1. assign V229418 = V921632. assign V716655 = V297117. assign V868349 = V958293. assign V237834 = V638115. assign V670899 = V275508 - 1. assign V864799 = V922476. assign V867650 = V361679. assign V209785 = V489653. assign V954047 = V868349. assign V930300 = V631110 - 1. assign V851143 = V865627. assign V634017 = V868349. assign V892312 = V104626. assign V377468 = V539501 + 1. assign V008085 = V237834 - 1. assign V542635 = V640038 - 1. assign V503652 = V570263. assign V297117 = V921632. assign V927095 = V631110. assign V895133 = V169956 - 1. assign V291516 = V133847.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V116713 = V297117 + 1. assign V677326 = V481646. assign V124277 = V271389 + 1. assign V161560 = V631110 - 1. assign V921632 = V868349 - 1. assign V271389 = V104626 + 1. assign V251834 = V133847 + 1. assign V262047 = V275508 + 1. assign V223438 = V539501 - 1. assign V611750 = V935009 + 1. assign V640038 = V958293 - 1. assign V354086 = V126266. assign V664137 = V539501 + 1. assign V104626 = V921632 + 1. assign V382053 = V423165 + 1. assign V631110 = V868349 - 1. assign V495803 = V989543 + 1. assign V154728 = V237834 - 1. assign V439227 = V154728 + 1. assign V174178 = V423165. assign V169956 = V868349 + 1. assign V865627 = V154728 + 1. assign V539501 = V631110 + 1. assign V216651 = V382053 - 1. assign V393013 = V354086. assign V183418 = V428849 - 1. assign V428849 = V542635 - 1. assign V935009 = V229418 + 1. assign V033423 = V640038 - 1. assign V076281 = V291516 - 1. assign V411791 = V570263 + 1. assign V427237 = V771982 + 1. assign V850814 = V542635 + 1. assign V481344 = V850814. assign V656722 = V503652. assign V275972 = V640038. assign V664708 = V927095. assign V989543 = V868349. assign V339066 = 6. assign V310068 = V927095 + 1. assign V133847 = V638115. assign V570263 = V640038. assign V858146 = V427237 - 1. assign V516270 = V631110. assign V286851 = V542635. assign V463076 = V174178 + 1. assign V400450 = V237834 - 1. assign V972866 = V229418 - 1. assign V192692 = V542635. assign V121739 = V463076 - 1. assign V771982 = V640038 + 1. assign V355097 = V489653 - 1. assign V126266 = V771982 - 1. assign V922476 = V121739. assign V673210 = V377468. assign V089118 = V927095 - 1. assign V423165 = V989543 + 1. assign V396566 = V154728 - 1. assign V638115 = V958293 - 1. assign V489653 = V958293. assign V481646 = V275508. assign V211603 = V427237. assign V361679 = V868349. assign V459497 = V339066 + 1. assign V275508 = V237834 + 1. assign V229418 = V921632. assign V716655 = V297117. assign V868349 = V958293. assign V237834 = V638115. assign V670899 = V275508 - 1. assign V864799 = V922476. assign V867650 = V361679. assign V209785 = V489653. assign V954047 = V868349. assign V930300 = V631110 - 1. assign V851143 = V865627. assign V634017 = V868349. assign V892312 = V104626. assign V377468 = V539501 + 1. assign V008085 = V237834 - 1. assign V542635 = V640038 - 1. assign V503652 = V570263. assign V297117 = V921632. assign V927095 = V631110. assign V895133 = V169956 - 1. assign V291516 = V133847.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV339066 = 6;\n\nFrom these direct assignment(s), we have: \nV459497 = V339066 + 1 = 6 + 1 =7;\nNo other variables can be derived from V459497;\nNo other variables can be derived from V339066;\n\nNow we have done all the calculations. Derived variables are:\nV339066 = 6;\nV459497 = 7;\n\nNow we have finished this problem. ANSWER:\nV459497\n", "role": "assistant" } ]

[ "V956679", "V270916" ]

[ { "content": "<context>\nassign V899129 = V634530 - 1. assign V176450 = V843192 - 1. assign V159515 = V494207 - 1. assign V845403 = V247643. assign V581690 = V765084 - 1. assign V371970 = V309480 + 1. assign V105813 = V187263 - 1. assign V362294 = V634530 - 1. assign V192902 = V309480 - 1. assign V375678 = V692798 - 1. assign V736556 = V430683 - 1. assign V582547 = V377677 + 1. assign V546084 = V818996 - 1. assign V187263 = V377677 - 1. assign V925156 = V371970. assign V249335 = V750295 + 1. assign V665619 = V845403. assign V576063 = V219931 - 1. assign V494207 = V309480. assign V654306 = V999790. assign V972316 = V571181 - 1. assign V039347 = V582547 - 1. assign V818996 = V181152 + 1. assign V036242 = V375678 - 1. assign V992096 = V377677 + 1. assign V430683 = V832352 + 1. assign V226667 = V176450 + 1. assign V212753 = V571181 + 1. assign V750295 = V328713. assign V917244 = V894849 + 1. assign V219931 = V377677. assign V029550 = V417274 + 1. assign V571181 = V553276. assign V073887 = V451371 - 1. assign V417274 = V100546. assign V328713 = V212753 - 1. assign V587922 = V972316 + 1. assign V437897 = V999790. assign V023118 = V897085 - 1. assign V459754 = V845403 + 1. assign V189450 = V159800. assign V956679 = 9. assign V451371 = V582547. assign V100546 = V992096 - 1. assign V957821 = V494207 + 1. assign V252374 = V553276 + 1. assign V309480 = V430683 - 1. assign V028219 = V298205 - 1. assign V181152 = V328713. assign V897085 = V553276 - 1. assign V999790 = V309480 - 1. assign V189466 = V353132 - 1. assign V424142 = V634130 - 1. assign V270916 = V956679. assign V204721 = V377677 + 1. assign V156901 = V571181 - 1. assign V784632 = V258540 + 1. assign V634130 = V972316 - 1. assign V649868 = V417274 + 1. assign V621899 = V375678 + 1. assign V247643 = V212753 + 1. assign V159800 = V894849. assign V591484 = V258540 + 1. assign V843192 = V159515 + 1. assign V298205 = V506646 + 1. assign V655891 = V999790. assign V692798 = V571181 + 1. assign V835545 = V212753. assign V894849 = V377677. assign V832352 = V159800 - 1. assign V112695 = V159800 + 1. assign V634530 = V212753. assign V765084 = V187263 - 1. assign V258540 = V894849 + 1. assign V634438 = V897085 - 1. assign V389573 = V159800 + 1. assign V377677 = V553276 - 1. assign V021032 = V917244 - 1. assign V478972 = V156901 - 1. assign V328078 = V634530. assign V353132 = V571181 - 1. assign V276031 = V371970. assign V922508 = V219931. assign V506646 = V375678 - 1. assign V399701 = V298205 - 1. assign V758729 = V417274.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V899129 = V634530 - 1. assign V176450 = V843192 - 1. assign V159515 = V494207 - 1. assign V845403 = V247643. assign V581690 = V765084 - 1. assign V371970 = V309480 + 1. assign V105813 = V187263 - 1. assign V362294 = V634530 - 1. assign V192902 = V309480 - 1. assign V375678 = V692798 - 1. assign V736556 = V430683 - 1. assign V582547 = V377677 + 1. assign V546084 = V818996 - 1. assign V187263 = V377677 - 1. assign V925156 = V371970. assign V249335 = V750295 + 1. assign V665619 = V845403. assign V576063 = V219931 - 1. assign V494207 = V309480. assign V654306 = V999790. assign V972316 = V571181 - 1. assign V039347 = V582547 - 1. assign V818996 = V181152 + 1. assign V036242 = V375678 - 1. assign V992096 = V377677 + 1. assign V430683 = V832352 + 1. assign V226667 = V176450 + 1. assign V212753 = V571181 + 1. assign V750295 = V328713. assign V917244 = V894849 + 1. assign V219931 = V377677. assign V029550 = V417274 + 1. assign V571181 = V553276. assign V073887 = V451371 - 1. assign V417274 = V100546. assign V328713 = V212753 - 1. assign V587922 = V972316 + 1. assign V437897 = V999790. assign V023118 = V897085 - 1. assign V459754 = V845403 + 1. assign V189450 = V159800. assign V956679 = 9. assign V451371 = V582547. assign V100546 = V992096 - 1. assign V957821 = V494207 + 1. assign V252374 = V553276 + 1. assign V309480 = V430683 - 1. assign V028219 = V298205 - 1. assign V181152 = V328713. assign V897085 = V553276 - 1. assign V999790 = V309480 - 1. assign V189466 = V353132 - 1. assign V424142 = V634130 - 1. assign V270916 = V956679. assign V204721 = V377677 + 1. assign V156901 = V571181 - 1. assign V784632 = V258540 + 1. assign V634130 = V972316 - 1. assign V649868 = V417274 + 1. assign V621899 = V375678 + 1. assign V247643 = V212753 + 1. assign V159800 = V894849. assign V591484 = V258540 + 1. assign V843192 = V159515 + 1. assign V298205 = V506646 + 1. assign V655891 = V999790. assign V692798 = V571181 + 1. assign V835545 = V212753. assign V894849 = V377677. assign V832352 = V159800 - 1. assign V112695 = V159800 + 1. assign V634530 = V212753. assign V765084 = V187263 - 1. assign V258540 = V894849 + 1. assign V634438 = V897085 - 1. assign V389573 = V159800 + 1. assign V377677 = V553276 - 1. assign V021032 = V917244 - 1. assign V478972 = V156901 - 1. assign V328078 = V634530. assign V353132 = V571181 - 1. assign V276031 = V371970. assign V922508 = V219931. assign V506646 = V375678 - 1. assign V399701 = V298205 - 1. assign V758729 = V417274.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV956679 = 9;\n\nFrom these direct assignment(s), we have: \nV270916 = V956679 = 9;\nNo other variables can be derived from V270916;\nNo other variables can be derived from V956679;\n\nNow we have done all the calculations. Derived variables are:\nV956679 = 9;\nV270916 = 9;\n\nNow we have finished this problem. ANSWER:\nV956679, V270916\n", "role": "assistant" } ]

[ "V061971" ]

[ { "content": "<context>\nassign V576260 = V221999 + 1. assign V739124 = V168364 + 1. assign V635393 = V055997 + 1. assign V061971 = 8. assign V417353 = V041136 + 1. assign V212265 = V412074 + 1. assign V183804 = V054788 + 1. assign V441306 = V738975. assign V450046 = V648749 + 1. assign V725914 = V513258 + 1. assign V029221 = V648749. assign V086037 = V775761 + 1. assign V638314 = V315594 - 1. assign V759795 = V055997. assign V478876 = V732019. assign V287512 = V116217 - 1. assign V544094 = V712132 + 1. assign V648749 = V793643 + 1. assign V220521 = V721419 + 1. assign V309704 = V041136 - 1. assign V294787 = V863949 - 1. assign V644555 = V451716. assign V434386 = V287817 + 1. assign V227814 = V682184 + 1. assign V413468 = V513258 + 1. assign V873860 = V413468 + 1. assign V682184 = V287817. assign V168364 = V738975 - 1. assign V403885 = V285872 - 1. assign V147765 = V412074 - 1. assign V049826 = V419895 + 1. assign V513258 = V285872 + 1. assign V946634 = V287512 + 1. assign V712132 = V833100 - 1. assign V055997 = V382572. assign V041136 = V287512 - 1. assign V842808 = V412074 + 1. assign V939618 = V024358. assign V221999 = V024404 + 1. assign V210660 = V648749 + 1. assign V786962 = V412074 - 1. assign V232957 = V359221 + 1. assign V961488 = V451716 - 1. assign V833577 = V638314 + 1. assign V863949 = V513258 - 1. assign V001041 = V061971 + 1. assign V833100 = V648749 - 1. assign V116217 = V382572 + 1. assign V800307 = V873860 - 1. assign V054788 = V739124. assign V424054 = V513258. assign V732019 = V648749 + 1. assign V975457 = V168364 + 1. assign V721419 = V147765. assign V431473 = V739124. assign V029601 = V759795. assign V700006 = V441306. assign V591988 = V738975 + 1. assign V793294 = V041136. assign V789789 = V644555. assign V561842 = V867480 - 1. assign V382572 = V359221 - 1. assign V652361 = V867480 + 1. assign V024404 = V738975 + 1. assign V793535 = V441306 + 1. assign V029131 = V946634 - 1. assign V451716 = V419895 + 1. assign V374285 = V029131 + 1. assign V024358 = V419895 - 1. assign V285872 = V315594 - 1. assign V789419 = V419895 - 1. assign V440582 = V055997 - 1. assign V668776 = V285872 + 1. assign V775761 = V440582 - 1. assign V820346 = V732286 + 1. assign V232386 = V419895 - 1. assign V793643 = V359221. assign V495718 = V946634 - 1. assign V315594 = V359221. assign V732286 = V975457. assign V286612 = V786962 - 1. assign V419895 = V412074 - 1. assign V287817 = V732286 + 1. assign V867480 = V024404 - 1. assign V359221 = V412074. assign V738975 = V412074 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V576260 = V221999 + 1. assign V739124 = V168364 + 1. assign V635393 = V055997 + 1. assign V061971 = 8. assign V417353 = V041136 + 1. assign V212265 = V412074 + 1. assign V183804 = V054788 + 1. assign V441306 = V738975. assign V450046 = V648749 + 1. assign V725914 = V513258 + 1. assign V029221 = V648749. assign V086037 = V775761 + 1. assign V638314 = V315594 - 1. assign V759795 = V055997. assign V478876 = V732019. assign V287512 = V116217 - 1. assign V544094 = V712132 + 1. assign V648749 = V793643 + 1. assign V220521 = V721419 + 1. assign V309704 = V041136 - 1. assign V294787 = V863949 - 1. assign V644555 = V451716. assign V434386 = V287817 + 1. assign V227814 = V682184 + 1. assign V413468 = V513258 + 1. assign V873860 = V413468 + 1. assign V682184 = V287817. assign V168364 = V738975 - 1. assign V403885 = V285872 - 1. assign V147765 = V412074 - 1. assign V049826 = V419895 + 1. assign V513258 = V285872 + 1. assign V946634 = V287512 + 1. assign V712132 = V833100 - 1. assign V055997 = V382572. assign V041136 = V287512 - 1. assign V842808 = V412074 + 1. assign V939618 = V024358. assign V221999 = V024404 + 1. assign V210660 = V648749 + 1. assign V786962 = V412074 - 1. assign V232957 = V359221 + 1. assign V961488 = V451716 - 1. assign V833577 = V638314 + 1. assign V863949 = V513258 - 1. assign V001041 = V061971 + 1. assign V833100 = V648749 - 1. assign V116217 = V382572 + 1. assign V800307 = V873860 - 1. assign V054788 = V739124. assign V424054 = V513258. assign V732019 = V648749 + 1. assign V975457 = V168364 + 1. assign V721419 = V147765. assign V431473 = V739124. assign V029601 = V759795. assign V700006 = V441306. assign V591988 = V738975 + 1. assign V793294 = V041136. assign V789789 = V644555. assign V561842 = V867480 - 1. assign V382572 = V359221 - 1. assign V652361 = V867480 + 1. assign V024404 = V738975 + 1. assign V793535 = V441306 + 1. assign V029131 = V946634 - 1. assign V451716 = V419895 + 1. assign V374285 = V029131 + 1. assign V024358 = V419895 - 1. assign V285872 = V315594 - 1. assign V789419 = V419895 - 1. assign V440582 = V055997 - 1. assign V668776 = V285872 + 1. assign V775761 = V440582 - 1. assign V820346 = V732286 + 1. assign V232386 = V419895 - 1. assign V793643 = V359221. assign V495718 = V946634 - 1. assign V315594 = V359221. assign V732286 = V975457. assign V286612 = V786962 - 1. assign V419895 = V412074 - 1. assign V287817 = V732286 + 1. assign V867480 = V024404 - 1. assign V359221 = V412074. assign V738975 = V412074 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV061971 = 8;\n\nFrom these direct assignment(s), we have: \nV001041 = V061971 + 1 = 8 + 1 =9;\nNo other variables can be derived from V001041;\nNo other variables can be derived from V061971;\n\nNow we have done all the calculations. Derived variables are:\nV061971 = 8;\nV001041 = 9;\n\nNow we have finished this problem. ANSWER:\nV061971\n", "role": "assistant" } ]

[ "V342573" ]

[ { "content": "<context>\nassign V559543 = V144798 + 1. assign V049744 = V962654 - 1. assign V314176 = V699498 - 1. assign V815273 = V233593 - 1. assign V155906 = V214846 + 1. assign V627231 = V703236. assign V458048 = V245922 - 1. assign V963095 = V736844 + 1. assign V921151 = V233593 + 1. assign V006334 = V784853. assign V435953 = V784853 + 1. assign V862982 = V211202 - 1. assign V495427 = 0. assign V667893 = V745838 - 1. assign V024297 = V580078 + 1. assign V211202 = V699498. assign V317742 = V815273 - 1. assign V703236 = V736844 + 1. assign V038015 = V633076 - 1. assign V410491 = V859381. assign V071548 = V073379 + 1. assign V181950 = V144798. assign V245922 = V745838 - 1. assign V961120 = V982371 - 1. assign V632094 = V982371 - 1. assign V575385 = V915420. assign V440465 = V784853 + 1. assign V276720 = V245922 + 1. assign V633076 = V815273 + 1. assign V580078 = V575385 + 1. assign V267669 = V962654. assign V487790 = V961120. assign V625721 = V575385. assign V144798 = V040322 - 1. assign V130725 = V314176. assign V550910 = V285283. assign V444683 = V982371 + 1. assign V734007 = V314176. assign V858049 = V372872 + 1. assign V549426 = V317742 - 1. assign V613324 = V784853 + 1. assign V140940 = V144798 + 1. assign V850547 = V915420 + 1. assign V210153 = V963095 - 1. assign V618874 = V444683 - 1. assign V873367 = V211202. assign V611098 = V435953 + 1. assign V103690 = V613324 + 1. assign V342573 = V495427 + 1. assign V699498 = V784853 + 1. assign V101875 = V994902. assign V996531 = V190338 + 1. assign V996477 = V317742 - 1. assign V767978 = V497614 - 1. assign V962654 = V850547 + 1. assign V233593 = V006334 + 1. assign V637512 = V858049 + 1. assign V784853 = V982371 + 1. assign V865147 = V961120 - 1. assign V190338 = V082097. assign V745838 = V699498 + 1. assign V327085 = V458048 - 1. assign V915420 = V982371 - 1. assign V966561 = V245946 + 1. assign V754747 = V780151 - 1. assign V072409 = V245946. assign V886087 = V144798. assign V497614 = V435953. assign V302820 = V372872 + 1. assign V994902 = V317742 + 1. assign V707860 = V072409 + 1. assign V736844 = V285283 - 1. assign V662024 = V637512. assign V040322 = V784853 - 1. assign V372872 = V140940 - 1. assign V214846 = V963095 + 1. assign V082097 = V915420. assign V780151 = V082097 + 1. assign V285283 = V699498 - 1. assign V859381 = V982371 - 1. assign V073379 = V627231. assign V083893 = V550910. assign V779026 = V667893. assign V695261 = V317742 - 1. assign V245946 = V130725. assign V482103 = V372872 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V559543 = V144798 + 1. assign V049744 = V962654 - 1. assign V314176 = V699498 - 1. assign V815273 = V233593 - 1. assign V155906 = V214846 + 1. assign V627231 = V703236. assign V458048 = V245922 - 1. assign V963095 = V736844 + 1. assign V921151 = V233593 + 1. assign V006334 = V784853. assign V435953 = V784853 + 1. assign V862982 = V211202 - 1. assign V495427 = 0. assign V667893 = V745838 - 1. assign V024297 = V580078 + 1. assign V211202 = V699498. assign V317742 = V815273 - 1. assign V703236 = V736844 + 1. assign V038015 = V633076 - 1. assign V410491 = V859381. assign V071548 = V073379 + 1. assign V181950 = V144798. assign V245922 = V745838 - 1. assign V961120 = V982371 - 1. assign V632094 = V982371 - 1. assign V575385 = V915420. assign V440465 = V784853 + 1. assign V276720 = V245922 + 1. assign V633076 = V815273 + 1. assign V580078 = V575385 + 1. assign V267669 = V962654. assign V487790 = V961120. assign V625721 = V575385. assign V144798 = V040322 - 1. assign V130725 = V314176. assign V550910 = V285283. assign V444683 = V982371 + 1. assign V734007 = V314176. assign V858049 = V372872 + 1. assign V549426 = V317742 - 1. assign V613324 = V784853 + 1. assign V140940 = V144798 + 1. assign V850547 = V915420 + 1. assign V210153 = V963095 - 1. assign V618874 = V444683 - 1. assign V873367 = V211202. assign V611098 = V435953 + 1. assign V103690 = V613324 + 1. assign V342573 = V495427 + 1. assign V699498 = V784853 + 1. assign V101875 = V994902. assign V996531 = V190338 + 1. assign V996477 = V317742 - 1. assign V767978 = V497614 - 1. assign V962654 = V850547 + 1. assign V233593 = V006334 + 1. assign V637512 = V858049 + 1. assign V784853 = V982371 + 1. assign V865147 = V961120 - 1. assign V190338 = V082097. assign V745838 = V699498 + 1. assign V327085 = V458048 - 1. assign V915420 = V982371 - 1. assign V966561 = V245946 + 1. assign V754747 = V780151 - 1. assign V072409 = V245946. assign V886087 = V144798. assign V497614 = V435953. assign V302820 = V372872 + 1. assign V994902 = V317742 + 1. assign V707860 = V072409 + 1. assign V736844 = V285283 - 1. assign V662024 = V637512. assign V040322 = V784853 - 1. assign V372872 = V140940 - 1. assign V214846 = V963095 + 1. assign V082097 = V915420. assign V780151 = V082097 + 1. assign V285283 = V699498 - 1. assign V859381 = V982371 - 1. assign V073379 = V627231. assign V083893 = V550910. assign V779026 = V667893. assign V695261 = V317742 - 1. assign V245946 = V130725. assign V482103 = V372872 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV495427 = 0;\n\nFrom these direct assignment(s), we have: \nV342573 = V495427 + 1 = 0 + 1 =1;\nNo other variables can be derived from V342573;\nNo other variables can be derived from V495427;\n\nNow we have done all the calculations. Derived variables are:\nV495427 = 0;\nV342573 = 1;\n\nNow we have finished this problem. ANSWER:\nV342573\n", "role": "assistant" } ]

[ "V912266" ]

[ { "content": "<context>\nassign V916185 = V064009 + 1. assign V264221 = V030062 - 1. assign V524274 = V229777 - 1. assign V466288 = V400106 - 1. assign V030062 = V694713 + 1. assign V505191 = V030062 + 1. assign V560964 = V048780. assign V838375 = V863919. assign V320584 = V229777 - 1. assign V861437 = V550179 + 1. assign V681918 = V320584. assign V927092 = V694713 - 1. assign V809190 = V912266 + 1. assign V575912 = V475902 + 1. assign V583350 = V781011 + 1. assign V308233 = V925743 + 1. assign V113813 = V048780. assign V653266 = V355367 - 1. assign V166450 = V927092. assign V925743 = V354631. assign V534630 = V694713 - 1. assign V572164 = V476750 - 1. assign V781011 = V166450 + 1. assign V423625 = V653266 + 1. assign V276883 = V704443 + 1. assign V916988 = V229777 - 1. assign V621670 = V838375 + 1. assign V519805 = V621670. assign V036539 = V949524 + 1. assign V704443 = V113813. assign V422642 = V064009 - 1. assign V048780 = V838375. assign V355367 = V916988 - 1. assign V721329 = V077194 + 1. assign V694713 = V229777. assign V714994 = V704443. assign V628515 = V575912. assign V919333 = V036539 + 1. assign V645782 = V855177 + 1. assign V135534 = V927092 + 1. assign V354631 = V064009 + 1. assign V855177 = V769313 + 1. assign V772697 = V475902 + 1. assign V462045 = V320584. assign V861690 = V769313 + 1. assign V769128 = V943904. assign V863919 = V511109. assign V534341 = V422642. assign V053891 = V927092 - 1. assign V734266 = V534630. assign V476750 = V048780. assign V478838 = V422642. assign V111503 = V621670 + 1. assign V803832 = V637168 + 1. assign V912266 = 2. assign V671464 = V838375 + 1. assign V769313 = V320584 + 1. assign V293276 = V354631 - 1. assign V475902 = V229777 - 1. assign V883155 = V354631 + 1. assign V770721 = V082103 - 1. assign V077194 = V320584. assign V400106 = V229777 + 1. assign V358797 = V883155. assign V926565 = V893336 + 1. assign V415016 = V694713 + 1. assign V550179 = V628515. assign V082103 = V621670 + 1. assign V551678 = V462045 - 1. assign V064009 = V681918. assign V624091 = V229777 + 1. assign V411490 = V036539 - 1. assign V776721 = V624091 - 1. assign V337989 = V949524 + 1. assign V943904 = V694713 + 1. assign V024497 = V781011 - 1. assign V987805 = V704443. assign V569317 = V511109 - 1. assign V795674 = V769313 - 1. assign V511109 = V229777 + 1. assign V118516 = V704443 - 1. assign V949524 = V916988 + 1. assign V893336 = V624091 + 1. assign V265311 = V919333. assign V637168 = V704443 + 1. assign V957747 = V355367 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V916185 = V064009 + 1. assign V264221 = V030062 - 1. assign V524274 = V229777 - 1. assign V466288 = V400106 - 1. assign V030062 = V694713 + 1. assign V505191 = V030062 + 1. assign V560964 = V048780. assign V838375 = V863919. assign V320584 = V229777 - 1. assign V861437 = V550179 + 1. assign V681918 = V320584. assign V927092 = V694713 - 1. assign V809190 = V912266 + 1. assign V575912 = V475902 + 1. assign V583350 = V781011 + 1. assign V308233 = V925743 + 1. assign V113813 = V048780. assign V653266 = V355367 - 1. assign V166450 = V927092. assign V925743 = V354631. assign V534630 = V694713 - 1. assign V572164 = V476750 - 1. assign V781011 = V166450 + 1. assign V423625 = V653266 + 1. assign V276883 = V704443 + 1. assign V916988 = V229777 - 1. assign V621670 = V838375 + 1. assign V519805 = V621670. assign V036539 = V949524 + 1. assign V704443 = V113813. assign V422642 = V064009 - 1. assign V048780 = V838375. assign V355367 = V916988 - 1. assign V721329 = V077194 + 1. assign V694713 = V229777. assign V714994 = V704443. assign V628515 = V575912. assign V919333 = V036539 + 1. assign V645782 = V855177 + 1. assign V135534 = V927092 + 1. assign V354631 = V064009 + 1. assign V855177 = V769313 + 1. assign V772697 = V475902 + 1. assign V462045 = V320584. assign V861690 = V769313 + 1. assign V769128 = V943904. assign V863919 = V511109. assign V534341 = V422642. assign V053891 = V927092 - 1. assign V734266 = V534630. assign V476750 = V048780. assign V478838 = V422642. assign V111503 = V621670 + 1. assign V803832 = V637168 + 1. assign V912266 = 2. assign V671464 = V838375 + 1. assign V769313 = V320584 + 1. assign V293276 = V354631 - 1. assign V475902 = V229777 - 1. assign V883155 = V354631 + 1. assign V770721 = V082103 - 1. assign V077194 = V320584. assign V400106 = V229777 + 1. assign V358797 = V883155. assign V926565 = V893336 + 1. assign V415016 = V694713 + 1. assign V550179 = V628515. assign V082103 = V621670 + 1. assign V551678 = V462045 - 1. assign V064009 = V681918. assign V624091 = V229777 + 1. assign V411490 = V036539 - 1. assign V776721 = V624091 - 1. assign V337989 = V949524 + 1. assign V943904 = V694713 + 1. assign V024497 = V781011 - 1. assign V987805 = V704443. assign V569317 = V511109 - 1. assign V795674 = V769313 - 1. assign V511109 = V229777 + 1. assign V118516 = V704443 - 1. assign V949524 = V916988 + 1. assign V893336 = V624091 + 1. assign V265311 = V919333. assign V637168 = V704443 + 1. assign V957747 = V355367 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV912266 = 2;\n\nFrom these direct assignment(s), we have: \nV809190 = V912266 + 1 = 2 + 1 =3;\nNo other variables can be derived from V809190;\nNo other variables can be derived from V912266;\n\nNow we have done all the calculations. Derived variables are:\nV912266 = 2;\nV809190 = 3;\n\nNow we have finished this problem. ANSWER:\nV912266\n", "role": "assistant" } ]

[ "V378404", "V096280" ]

[ { "content": "<context>\nassign V860999 = V195687 + 1. assign V868520 = V677585 + 1. assign V104929 = V491450 + 1. assign V975688 = V867533 + 1. assign V388317 = V677805. assign V292675 = V936334 + 1. assign V416158 = V283283. assign V985752 = V622996 - 1. assign V588025 = V322854. assign V770058 = V859237 + 1. assign V744990 = V135003 - 1. assign V070494 = V283283. assign V125362 = V135117 - 1. assign V388953 = V322854 - 1. assign V289606 = V292675 + 1. assign V192317 = V859237 - 1. assign V985276 = V321751 + 1. assign V900784 = V243604. assign V245462 = V859237. assign V936334 = V787164 - 1. assign V135003 = V622996 - 1. assign V779453 = V859237. assign V768864 = V860999 - 1. assign V984098 = V243604 + 1. assign V926638 = V982228. assign V982228 = V195687 + 1. assign V144151 = V192317 + 1. assign V329894 = V845437 + 1. assign V768010 = V135117 + 1. assign V512393 = V768010. assign V137762 = V770058. assign V667842 = V537846 + 1. assign V803217 = V868520. assign V758313 = V975688. assign V208060 = V984098 + 1. assign V291371 = V037757 + 1. assign V801558 = V243604 - 1. assign V437014 = V168382. assign V769335 = V023114 - 1. assign V449388 = V283283 - 1. assign V460215 = V859237 - 1. assign V447131 = V537846. assign V028007 = V208060 - 1. assign V845437 = V808710 + 1. assign V859237 = V135117. assign V539123 = V135117 - 1. assign V023114 = V195687. assign V195687 = V975688 + 1. assign V221006 = V135117. assign V321751 = V859237 - 1. assign V622996 = V787164 + 1. assign V794375 = V859237 + 1. assign V445116 = V355548 + 1. assign V212303 = V135117 - 1. assign V172545 = V291371 + 1. assign V537846 = V808710 - 1. assign V712633 = V975688 + 1. assign V024706 = V491450 - 1. assign V355548 = V023114 + 1. assign V135117 = V243604. assign V677805 = V458710 + 1. assign V303109 = V289606 + 1. assign V787164 = V243604 - 1. assign V867533 = V283283 - 1. assign V727841 = V975688 - 1. assign V283283 = V243604 + 1. assign V378706 = V860999. assign V798160 = V135003 + 1. assign V378404 = 5. assign V095884 = V137762 - 1. assign V386089 = V982228 + 1. assign V349889 = V137762 + 1. assign V168382 = V023114. assign V322854 = V779453 + 1. assign V096280 = V378404. assign V677585 = V245462. assign V243604 = V808710 + 1. assign V617513 = V779453 + 1. assign V793160 = V758313. assign V815565 = V321751 + 1. assign V491450 = V537846. assign V458710 = V868520. assign V661749 = V768010 - 1. assign V037757 = V867533 + 1. assign V020814 = V095884 + 1. assign V194005 = V982228 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V860999 = V195687 + 1. assign V868520 = V677585 + 1. assign V104929 = V491450 + 1. assign V975688 = V867533 + 1. assign V388317 = V677805. assign V292675 = V936334 + 1. assign V416158 = V283283. assign V985752 = V622996 - 1. assign V588025 = V322854. assign V770058 = V859237 + 1. assign V744990 = V135003 - 1. assign V070494 = V283283. assign V125362 = V135117 - 1. assign V388953 = V322854 - 1. assign V289606 = V292675 + 1. assign V192317 = V859237 - 1. assign V985276 = V321751 + 1. assign V900784 = V243604. assign V245462 = V859237. assign V936334 = V787164 - 1. assign V135003 = V622996 - 1. assign V779453 = V859237. assign V768864 = V860999 - 1. assign V984098 = V243604 + 1. assign V926638 = V982228. assign V982228 = V195687 + 1. assign V144151 = V192317 + 1. assign V329894 = V845437 + 1. assign V768010 = V135117 + 1. assign V512393 = V768010. assign V137762 = V770058. assign V667842 = V537846 + 1. assign V803217 = V868520. assign V758313 = V975688. assign V208060 = V984098 + 1. assign V291371 = V037757 + 1. assign V801558 = V243604 - 1. assign V437014 = V168382. assign V769335 = V023114 - 1. assign V449388 = V283283 - 1. assign V460215 = V859237 - 1. assign V447131 = V537846. assign V028007 = V208060 - 1. assign V845437 = V808710 + 1. assign V859237 = V135117. assign V539123 = V135117 - 1. assign V023114 = V195687. assign V195687 = V975688 + 1. assign V221006 = V135117. assign V321751 = V859237 - 1. assign V622996 = V787164 + 1. assign V794375 = V859237 + 1. assign V445116 = V355548 + 1. assign V212303 = V135117 - 1. assign V172545 = V291371 + 1. assign V537846 = V808710 - 1. assign V712633 = V975688 + 1. assign V024706 = V491450 - 1. assign V355548 = V023114 + 1. assign V135117 = V243604. assign V677805 = V458710 + 1. assign V303109 = V289606 + 1. assign V787164 = V243604 - 1. assign V867533 = V283283 - 1. assign V727841 = V975688 - 1. assign V283283 = V243604 + 1. assign V378706 = V860999. assign V798160 = V135003 + 1. assign V378404 = 5. assign V095884 = V137762 - 1. assign V386089 = V982228 + 1. assign V349889 = V137762 + 1. assign V168382 = V023114. assign V322854 = V779453 + 1. assign V096280 = V378404. assign V677585 = V245462. assign V243604 = V808710 + 1. assign V617513 = V779453 + 1. assign V793160 = V758313. assign V815565 = V321751 + 1. assign V491450 = V537846. assign V458710 = V868520. assign V661749 = V768010 - 1. assign V037757 = V867533 + 1. assign V020814 = V095884 + 1. assign V194005 = V982228 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV378404 = 5;\n\nFrom these direct assignment(s), we have: \nV096280 = V378404 = 5;\nNo other variables can be derived from V096280;\nNo other variables can be derived from V378404;\n\nNow we have done all the calculations. Derived variables are:\nV378404 = 5;\nV096280 = 5;\n\nNow we have finished this problem. ANSWER:\nV378404, V096280\n", "role": "assistant" } ]

[ "V743327", "V515742" ]

[ { "content": "<context>\nassign V308218 = V363303 - 1. assign V125396 = V974508 - 1. assign V791143 = V125396 + 1. assign V094783 = V627248 + 1. assign V062225 = V232420 + 1. assign V239505 = V125396. assign V707993 = V711121 + 1. assign V423710 = V603631. assign V517150 = V628934 + 1. assign V800306 = V363303 + 1. assign V428695 = V688490. assign V802058 = V688490 - 1. assign V390019 = V539174 + 1. assign V286780 = V270234 - 1. assign V042843 = V513273 - 1. assign V384547 = V245801 + 1. assign V226037 = V688490. assign V813663 = V226037 + 1. assign V637271 = V308218 - 1. assign V254391 = V125396. assign V693068 = V363303 - 1. assign V743327 = 2. assign V476627 = V425454 - 1. assign V766206 = V513273 - 1. assign V066019 = V482782. assign V819700 = V423710. assign V235795 = V321638 - 1. assign V983652 = V709123 + 1. assign V069670 = V245801 - 1. assign V015593 = V321638 - 1. assign V539174 = V363303 + 1. assign V408445 = V857261 + 1. assign V497040 = V128389. assign V974508 = V857261 - 1. assign V628934 = V293750 + 1. assign V768523 = V132317 + 1. assign V389975 = V094783 + 1. assign V537759 = V363303 + 1. assign V293750 = V245801. assign V711121 = V628934 - 1. assign V377404 = V539174 - 1. assign V132317 = V021992 - 1. assign V787896 = V766206 - 1. assign V603631 = V308218. assign V715855 = V688490. assign V811741 = V390019 - 1. assign V245876 = V390019 - 1. assign V986387 = V637271 - 1. assign V709123 = V061588 - 1. assign V857261 = V363303 - 1. assign V857434 = V688490 + 1. assign V270234 = V308218 + 1. assign V513273 = V245801 + 1. assign V205230 = V254391 - 1. assign V299191 = V834881 + 1. assign V667335 = V539174. assign V093844 = V270234 + 1. assign V154216 = V693068 + 1. assign V515742 = V743327. assign V049376 = V308218. assign V908589 = V408445 - 1. assign V061588 = V537759. assign V492547 = V627248 - 1. assign V688490 = V559408 - 1. assign V035135 = V517150. assign V267341 = V834881 - 1. assign V482782 = V667335 + 1. assign V834881 = V384547. assign V445667 = V094783 - 1. assign V888828 = V293750. assign V627248 = V021992. assign V225063 = V766206 - 1. assign V321638 = V425454. assign V425454 = V974508 + 1. assign V998668 = V857261. assign V245801 = V308218. assign V232420 = V766206. assign V791067 = V423710 - 1. assign V264103 = V384547. assign V559408 = V857261 - 1. assign V021992 = V363303 - 1. assign V729421 = V791067 + 1. assign V005191 = V711121. assign V436407 = V688490 - 1. assign V927242 = V428695 + 1. assign V128389 = V537759 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V308218 = V363303 - 1. assign V125396 = V974508 - 1. assign V791143 = V125396 + 1. assign V094783 = V627248 + 1. assign V062225 = V232420 + 1. assign V239505 = V125396. assign V707993 = V711121 + 1. assign V423710 = V603631. assign V517150 = V628934 + 1. assign V800306 = V363303 + 1. assign V428695 = V688490. assign V802058 = V688490 - 1. assign V390019 = V539174 + 1. assign V286780 = V270234 - 1. assign V042843 = V513273 - 1. assign V384547 = V245801 + 1. assign V226037 = V688490. assign V813663 = V226037 + 1. assign V637271 = V308218 - 1. assign V254391 = V125396. assign V693068 = V363303 - 1. assign V743327 = 2. assign V476627 = V425454 - 1. assign V766206 = V513273 - 1. assign V066019 = V482782. assign V819700 = V423710. assign V235795 = V321638 - 1. assign V983652 = V709123 + 1. assign V069670 = V245801 - 1. assign V015593 = V321638 - 1. assign V539174 = V363303 + 1. assign V408445 = V857261 + 1. assign V497040 = V128389. assign V974508 = V857261 - 1. assign V628934 = V293750 + 1. assign V768523 = V132317 + 1. assign V389975 = V094783 + 1. assign V537759 = V363303 + 1. assign V293750 = V245801. assign V711121 = V628934 - 1. assign V377404 = V539174 - 1. assign V132317 = V021992 - 1. assign V787896 = V766206 - 1. assign V603631 = V308218. assign V715855 = V688490. assign V811741 = V390019 - 1. assign V245876 = V390019 - 1. assign V986387 = V637271 - 1. assign V709123 = V061588 - 1. assign V857261 = V363303 - 1. assign V857434 = V688490 + 1. assign V270234 = V308218 + 1. assign V513273 = V245801 + 1. assign V205230 = V254391 - 1. assign V299191 = V834881 + 1. assign V667335 = V539174. assign V093844 = V270234 + 1. assign V154216 = V693068 + 1. assign V515742 = V743327. assign V049376 = V308218. assign V908589 = V408445 - 1. assign V061588 = V537759. assign V492547 = V627248 - 1. assign V688490 = V559408 - 1. assign V035135 = V517150. assign V267341 = V834881 - 1. assign V482782 = V667335 + 1. assign V834881 = V384547. assign V445667 = V094783 - 1. assign V888828 = V293750. assign V627248 = V021992. assign V225063 = V766206 - 1. assign V321638 = V425454. assign V425454 = V974508 + 1. assign V998668 = V857261. assign V245801 = V308218. assign V232420 = V766206. assign V791067 = V423710 - 1. assign V264103 = V384547. assign V559408 = V857261 - 1. assign V021992 = V363303 - 1. assign V729421 = V791067 + 1. assign V005191 = V711121. assign V436407 = V688490 - 1. assign V927242 = V428695 + 1. assign V128389 = V537759 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV743327 = 2;\n\nFrom these direct assignment(s), we have: \nV515742 = V743327 = 2;\nNo other variables can be derived from V515742;\nNo other variables can be derived from V743327;\n\nNow we have done all the calculations. Derived variables are:\nV743327 = 2;\nV515742 = 2;\n\nNow we have finished this problem. ANSWER:\nV743327, V515742\n", "role": "assistant" } ]

[ "V670546", "V736477" ]

[ { "content": "<context>\nassign V953136 = V337335 - 1. assign V018028 = V720075 + 1. assign V338171 = V153348 + 1. assign V775009 = V146153 - 1. assign V722050 = V712867 + 1. assign V929976 = V712867 - 1. assign V543306 = V120978 + 1. assign V609787 = V153348 + 1. assign V532706 = V337335 - 1. assign V392894 = V609787 - 1. assign V658559 = V952618 - 1. assign V659703 = V470194 + 1. assign V674157 = V120978. assign V130422 = V688986. assign V850839 = V542794 - 1. assign V641859 = V953136 + 1. assign V809921 = V712867 + 1. assign V373938 = V712867. assign V684650 = V775009. assign V303275 = V338171 + 1. assign V809131 = V542794. assign V054562 = V712867 + 1. assign V358160 = V542794. assign V260489 = V341390 + 1. assign V470194 = V303275 + 1. assign V693531 = V553011 - 1. assign V688986 = V363231. assign V703379 = V179027 + 1. assign V755278 = V054562. assign V010366 = V560237 + 1. assign V712867 = V542794 + 1. assign V323825 = V202983 + 1. assign V862924 = V542794. assign V952618 = V668160 + 1. assign V964152 = V703379 + 1. assign V533689 = V866650. assign V179027 = V532706. assign V494222 = V809921 - 1. assign V194335 = V532706 + 1. assign V734343 = V120978 - 1. assign V553011 = V325364. assign V288114 = V337335 + 1. assign V420347 = V812468 - 1. assign V190464 = V809921 - 1. assign V482087 = V363231 + 1. assign V668160 = V609787 - 1. assign V542794 = V153348 - 1. assign V829454 = V812468 + 1. assign V776256 = V153348 - 1. assign V143535 = V337335 - 1. assign V595406 = V722050 + 1. assign V672490 = V325364 + 1. assign V363231 = V542794. assign V120978 = V202983 + 1. assign V931282 = V337335. assign V720075 = V809131 + 1. assign V640184 = V543306. assign V325364 = V392894. assign V383000 = V363231 - 1. assign V812468 = V239706 + 1. assign V337335 = V153348. assign V539257 = V153348. assign V533553 = V363231 - 1. assign V159502 = V720075 + 1. assign V693359 = V325364 + 1. assign V416096 = V866650. assign V803854 = V416096 + 1. assign V866650 = V325364 - 1. assign V629811 = V539257 + 1. assign V093247 = V602106. assign V612244 = V722050 - 1. assign V202983 = V712867 - 1. assign V784613 = V288114 + 1. assign V159821 = V542794. assign V146153 = V720075 + 1. assign V440284 = V920935. assign V239706 = V609787 - 1. assign V133249 = V509615 + 1. assign V911936 = V054562 - 1. assign V920935 = V609787 - 1. assign V560237 = V303275 + 1. assign V602106 = V239706 - 1. assign V736477 = V670546. assign V670546 = 3. assign V341390 = V829454 + 1. assign V509615 = V539257 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V953136 = V337335 - 1. assign V018028 = V720075 + 1. assign V338171 = V153348 + 1. assign V775009 = V146153 - 1. assign V722050 = V712867 + 1. assign V929976 = V712867 - 1. assign V543306 = V120978 + 1. assign V609787 = V153348 + 1. assign V532706 = V337335 - 1. assign V392894 = V609787 - 1. assign V658559 = V952618 - 1. assign V659703 = V470194 + 1. assign V674157 = V120978. assign V130422 = V688986. assign V850839 = V542794 - 1. assign V641859 = V953136 + 1. assign V809921 = V712867 + 1. assign V373938 = V712867. assign V684650 = V775009. assign V303275 = V338171 + 1. assign V809131 = V542794. assign V054562 = V712867 + 1. assign V358160 = V542794. assign V260489 = V341390 + 1. assign V470194 = V303275 + 1. assign V693531 = V553011 - 1. assign V688986 = V363231. assign V703379 = V179027 + 1. assign V755278 = V054562. assign V010366 = V560237 + 1. assign V712867 = V542794 + 1. assign V323825 = V202983 + 1. assign V862924 = V542794. assign V952618 = V668160 + 1. assign V964152 = V703379 + 1. assign V533689 = V866650. assign V179027 = V532706. assign V494222 = V809921 - 1. assign V194335 = V532706 + 1. assign V734343 = V120978 - 1. assign V553011 = V325364. assign V288114 = V337335 + 1. assign V420347 = V812468 - 1. assign V190464 = V809921 - 1. assign V482087 = V363231 + 1. assign V668160 = V609787 - 1. assign V542794 = V153348 - 1. assign V829454 = V812468 + 1. assign V776256 = V153348 - 1. assign V143535 = V337335 - 1. assign V595406 = V722050 + 1. assign V672490 = V325364 + 1. assign V363231 = V542794. assign V120978 = V202983 + 1. assign V931282 = V337335. assign V720075 = V809131 + 1. assign V640184 = V543306. assign V325364 = V392894. assign V383000 = V363231 - 1. assign V812468 = V239706 + 1. assign V337335 = V153348. assign V539257 = V153348. assign V533553 = V363231 - 1. assign V159502 = V720075 + 1. assign V693359 = V325364 + 1. assign V416096 = V866650. assign V803854 = V416096 + 1. assign V866650 = V325364 - 1. assign V629811 = V539257 + 1. assign V093247 = V602106. assign V612244 = V722050 - 1. assign V202983 = V712867 - 1. assign V784613 = V288114 + 1. assign V159821 = V542794. assign V146153 = V720075 + 1. assign V440284 = V920935. assign V239706 = V609787 - 1. assign V133249 = V509615 + 1. assign V911936 = V054562 - 1. assign V920935 = V609787 - 1. assign V560237 = V303275 + 1. assign V602106 = V239706 - 1. assign V736477 = V670546. assign V670546 = 3. assign V341390 = V829454 + 1. assign V509615 = V539257 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV670546 = 3;\n\nFrom these direct assignment(s), we have: \nV736477 = V670546 = 3;\nNo other variables can be derived from V736477;\nNo other variables can be derived from V670546;\n\nNow we have done all the calculations. Derived variables are:\nV670546 = 3;\nV736477 = 3;\n\nNow we have finished this problem. ANSWER:\nV670546, V736477\n", "role": "assistant" } ]

[ "V206073" ]

[ { "content": "<context>\nassign V102196 = V135108 + 1. assign V061020 = V263214 - 1. assign V267923 = V762982. assign V461527 = V345378 + 1. assign V696551 = V559200 - 1. assign V938142 = V928213 - 1. assign V321247 = V887267. assign V560811 = V306325 + 1. assign V894261 = V345378 - 1. assign V926658 = V724527 + 1. assign V762982 = V258500. assign V503688 = V782996 + 1. assign V736084 = V539430. assign V899853 = V308753 - 1. assign V806509 = V193548 - 1. assign V306325 = V263214 - 1. assign V782996 = V308753 + 1. assign V206073 = 2. assign V815337 = V771542 + 1. assign V121040 = V748425. assign V421210 = V744065 - 1. assign V428534 = V445779. assign V980517 = V906078 + 1. assign V480138 = V906078. assign V302509 = V490455 + 1. assign V032719 = V735649 - 1. assign V263214 = V193548 + 1. assign V928213 = V228739 - 1. assign V228739 = V559200. assign V615772 = V758298 - 1. assign V386835 = V193548 + 1. assign V399694 = V736084 - 1. assign V748425 = V724527 + 1. assign V735649 = V306325 - 1. assign V135108 = V461527. assign V509764 = V267923 + 1. assign V308753 = V945030 - 1. assign V258500 = V306325. assign V133704 = V926658. assign V649925 = V386835. assign V103459 = V121040 + 1. assign V797915 = V032719 + 1. assign V695191 = V605021. assign V989480 = V345378 + 1. assign V333101 = V228739. assign V945030 = V560811 + 1. assign V445779 = V724527. assign V643725 = V848882 - 1. assign V957630 = V143678 + 1. assign V943546 = V428534 - 1. assign V910096 = V945030 - 1. assign V052510 = V926658 - 1. assign V605021 = V806509 + 1. assign V321356 = V258500 + 1. assign V724527 = V758298 - 1. assign V771542 = V258500 + 1. assign V848882 = V306325 - 1. assign V345378 = V445779. assign V603335 = V813316 + 1. assign V736972 = V938142 - 1. assign V143678 = V559200. assign V156824 = V735649 - 1. assign V373724 = V445779 - 1. assign V219427 = V926658. assign V849016 = V696551 + 1. assign V825985 = V228739. assign V159352 = V906078 - 1. assign V911548 = V560811. assign V006274 = V445779. assign V832889 = V135108 - 1. assign V559200 = V758298 + 1. assign V444307 = V744065. assign V733662 = V399694 + 1. assign V269366 = V559200. assign V957222 = V782996 + 1. assign V906078 = V445779 - 1. assign V762533 = V503688 - 1. assign V758298 = V258500 + 1. assign V539430 = V559200 - 1. assign V887267 = V695191. assign V490455 = V560811 + 1. assign V202650 = V724527. assign V813316 = V724527. assign V396837 = V206073 + 1. assign V969314 = V143678. assign V744065 = V615772 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V102196 = V135108 + 1. assign V061020 = V263214 - 1. assign V267923 = V762982. assign V461527 = V345378 + 1. assign V696551 = V559200 - 1. assign V938142 = V928213 - 1. assign V321247 = V887267. assign V560811 = V306325 + 1. assign V894261 = V345378 - 1. assign V926658 = V724527 + 1. assign V762982 = V258500. assign V503688 = V782996 + 1. assign V736084 = V539430. assign V899853 = V308753 - 1. assign V806509 = V193548 - 1. assign V306325 = V263214 - 1. assign V782996 = V308753 + 1. assign V206073 = 2. assign V815337 = V771542 + 1. assign V121040 = V748425. assign V421210 = V744065 - 1. assign V428534 = V445779. assign V980517 = V906078 + 1. assign V480138 = V906078. assign V302509 = V490455 + 1. assign V032719 = V735649 - 1. assign V263214 = V193548 + 1. assign V928213 = V228739 - 1. assign V228739 = V559200. assign V615772 = V758298 - 1. assign V386835 = V193548 + 1. assign V399694 = V736084 - 1. assign V748425 = V724527 + 1. assign V735649 = V306325 - 1. assign V135108 = V461527. assign V509764 = V267923 + 1. assign V308753 = V945030 - 1. assign V258500 = V306325. assign V133704 = V926658. assign V649925 = V386835. assign V103459 = V121040 + 1. assign V797915 = V032719 + 1. assign V695191 = V605021. assign V989480 = V345378 + 1. assign V333101 = V228739. assign V945030 = V560811 + 1. assign V445779 = V724527. assign V643725 = V848882 - 1. assign V957630 = V143678 + 1. assign V943546 = V428534 - 1. assign V910096 = V945030 - 1. assign V052510 = V926658 - 1. assign V605021 = V806509 + 1. assign V321356 = V258500 + 1. assign V724527 = V758298 - 1. assign V771542 = V258500 + 1. assign V848882 = V306325 - 1. assign V345378 = V445779. assign V603335 = V813316 + 1. assign V736972 = V938142 - 1. assign V143678 = V559200. assign V156824 = V735649 - 1. assign V373724 = V445779 - 1. assign V219427 = V926658. assign V849016 = V696551 + 1. assign V825985 = V228739. assign V159352 = V906078 - 1. assign V911548 = V560811. assign V006274 = V445779. assign V832889 = V135108 - 1. assign V559200 = V758298 + 1. assign V444307 = V744065. assign V733662 = V399694 + 1. assign V269366 = V559200. assign V957222 = V782996 + 1. assign V906078 = V445779 - 1. assign V762533 = V503688 - 1. assign V758298 = V258500 + 1. assign V539430 = V559200 - 1. assign V887267 = V695191. assign V490455 = V560811 + 1. assign V202650 = V724527. assign V813316 = V724527. assign V396837 = V206073 + 1. assign V969314 = V143678. assign V744065 = V615772 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV206073 = 2;\n\nFrom these direct assignment(s), we have: \nV396837 = V206073 + 1 = 2 + 1 =3;\nNo other variables can be derived from V396837;\nNo other variables can be derived from V206073;\n\nNow we have done all the calculations. Derived variables are:\nV206073 = 2;\nV396837 = 3;\n\nNow we have finished this problem. ANSWER:\nV206073\n", "role": "assistant" } ]

[ "V781483" ]

[ { "content": "<context>\nassign V004596 = V971292 + 1. assign V141205 = V770941 + 1. assign V348020 = V537242. assign V071474 = V177069. assign V940083 = V256082. assign V741051 = V436894 - 1. assign V817530 = V735302 - 1. assign V537242 = V256082 + 1. assign V737876 = V493926 + 1. assign V901444 = V827903 + 1. assign V754213 = V493926 + 1. assign V574967 = V223281 - 1. assign V635852 = V943295. assign V675501 = V770941 + 1. assign V854475 = V735302 + 1. assign V321665 = V074400 - 1. assign V876406 = V901444. assign V674418 = V735302 - 1. assign V831297 = 3. assign V140178 = V493926 - 1. assign V391784 = V493926. assign V588494 = V074400 + 1. assign V493926 = V867839. assign V074400 = V046511 - 1. assign V743206 = V854475. assign V773383 = V123483 + 1. assign V207092 = V773383 + 1. assign V424311 = V123483. assign V770941 = V489988 + 1. assign V788117 = V123483 - 1. assign V679871 = V361722 + 1. assign V259088 = V943295 + 1. assign V687649 = V940083 + 1. assign V139698 = V436894 + 1. assign V513047 = V010373 - 1. assign V332167 = V735302. assign V489988 = V735302 - 1. assign V394192 = V084344. assign V770426 = V104406 - 1. assign V505532 = V361722 + 1. assign V477222 = V256082 + 1. assign V799366 = V493926 + 1. assign V104406 = V741051. assign V940162 = V259088 - 1. assign V084344 = V762631 + 1. assign V827903 = V489988 + 1. assign V220189 = V493926 - 1. assign V445932 = V537242 + 1. assign V751678 = V071474. assign V271998 = V071474. assign V762631 = V971292. assign V123483 = V256082 + 1. assign V535775 = V741051 - 1. assign V669138 = V348020. assign V590791 = V769071 - 1. assign V995558 = V259088 + 1. assign V867839 = V537242. assign V010373 = V916438. assign V476546 = V754213 - 1. assign V546625 = V876406. assign V901609 = V827903 + 1. assign V924781 = V610079. assign V436894 = V799366 - 1. assign V803381 = V943295. assign V301381 = V537242 - 1. assign V971292 = V799366 - 1. assign V916438 = V537242. assign V876758 = V071474. assign V650682 = V052126 + 1. assign V177069 = V123483 + 1. assign V744556 = V916438 + 1. assign V309026 = V424311 + 1. assign V046511 = V916438 + 1. assign V610079 = V445932 + 1. assign V576578 = V177069. assign V052126 = V493926 - 1. assign V781483 = V831297 + 1. assign V669582 = V259088 + 1. assign V969768 = V361722. assign V086948 = V123483 - 1. assign V943295 = V817530 - 1. assign V361722 = V071474. assign V769071 = V361722 - 1. assign V229058 = V477222. assign V735302 = V123483. assign V223281 = V424311 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V004596 = V971292 + 1. assign V141205 = V770941 + 1. assign V348020 = V537242. assign V071474 = V177069. assign V940083 = V256082. assign V741051 = V436894 - 1. assign V817530 = V735302 - 1. assign V537242 = V256082 + 1. assign V737876 = V493926 + 1. assign V901444 = V827903 + 1. assign V754213 = V493926 + 1. assign V574967 = V223281 - 1. assign V635852 = V943295. assign V675501 = V770941 + 1. assign V854475 = V735302 + 1. assign V321665 = V074400 - 1. assign V876406 = V901444. assign V674418 = V735302 - 1. assign V831297 = 3. assign V140178 = V493926 - 1. assign V391784 = V493926. assign V588494 = V074400 + 1. assign V493926 = V867839. assign V074400 = V046511 - 1. assign V743206 = V854475. assign V773383 = V123483 + 1. assign V207092 = V773383 + 1. assign V424311 = V123483. assign V770941 = V489988 + 1. assign V788117 = V123483 - 1. assign V679871 = V361722 + 1. assign V259088 = V943295 + 1. assign V687649 = V940083 + 1. assign V139698 = V436894 + 1. assign V513047 = V010373 - 1. assign V332167 = V735302. assign V489988 = V735302 - 1. assign V394192 = V084344. assign V770426 = V104406 - 1. assign V505532 = V361722 + 1. assign V477222 = V256082 + 1. assign V799366 = V493926 + 1. assign V104406 = V741051. assign V940162 = V259088 - 1. assign V084344 = V762631 + 1. assign V827903 = V489988 + 1. assign V220189 = V493926 - 1. assign V445932 = V537242 + 1. assign V751678 = V071474. assign V271998 = V071474. assign V762631 = V971292. assign V123483 = V256082 + 1. assign V535775 = V741051 - 1. assign V669138 = V348020. assign V590791 = V769071 - 1. assign V995558 = V259088 + 1. assign V867839 = V537242. assign V010373 = V916438. assign V476546 = V754213 - 1. assign V546625 = V876406. assign V901609 = V827903 + 1. assign V924781 = V610079. assign V436894 = V799366 - 1. assign V803381 = V943295. assign V301381 = V537242 - 1. assign V971292 = V799366 - 1. assign V916438 = V537242. assign V876758 = V071474. assign V650682 = V052126 + 1. assign V177069 = V123483 + 1. assign V744556 = V916438 + 1. assign V309026 = V424311 + 1. assign V046511 = V916438 + 1. assign V610079 = V445932 + 1. assign V576578 = V177069. assign V052126 = V493926 - 1. assign V781483 = V831297 + 1. assign V669582 = V259088 + 1. assign V969768 = V361722. assign V086948 = V123483 - 1. assign V943295 = V817530 - 1. assign V361722 = V071474. assign V769071 = V361722 - 1. assign V229058 = V477222. assign V735302 = V123483. assign V223281 = V424311 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV831297 = 3;\n\nFrom these direct assignment(s), we have: \nV781483 = V831297 + 1 = 3 + 1 =4;\nNo other variables can be derived from V781483;\nNo other variables can be derived from V831297;\n\nNow we have done all the calculations. Derived variables are:\nV831297 = 3;\nV781483 = 4;\n\nNow we have finished this problem. ANSWER:\nV781483\n", "role": "assistant" } ]

[ "V857028" ]

[ { "content": "<context>\nassign V747203 = V634410. assign V992427 = V765165 + 1. assign V391871 = V008725 - 1. assign V139178 = V312319. assign V656165 = V532409. assign V614920 = V656165 + 1. assign V576681 = V903232 - 1. assign V475195 = V416285 + 1. assign V354649 = V747203 + 1. assign V690785 = V679757. assign V832541 = V916785 + 1. assign V687767 = V139178. assign V488786 = V742277 - 1. assign V010997 = V008725 - 1. assign V345065 = V656165 + 1. assign V742277 = V508657 - 1. assign V699150 = V164760 + 1. assign V811783 = V656165. assign V405819 = V679757 + 1. assign V916785 = V656165 - 1. assign V618232 = V907521 - 1. assign V379806 = V361392 - 1. assign V651194 = V389931 - 1. assign V219400 = V474323 - 1. assign V506782 = V872251. assign V306579 = V872251. assign V936469 = V895315 - 1. assign V128580 = V150188 - 1. assign V709724 = V811783. assign V599711 = V919153. assign V775878 = 5. assign V532409 = V508657. assign V164760 = V008725 + 1. assign V683312 = V474323 + 1. assign V737222 = V690785. assign V497309 = V919153 + 1. assign V479605 = V632323 + 1. assign V919153 = V747203. assign V465822 = V506782 - 1. assign V371256 = V306579 + 1. assign V312319 = V872251 + 1. assign V008700 = V018994 + 1. assign V442181 = V614920 - 1. assign V033689 = V345065 + 1. assign V008725 = V443203 - 1. assign V903232 = V506782. assign V853140 = V679757 + 1. assign V416285 = V095103 + 1. assign V907521 = V475195 + 1. assign V632323 = V532409 + 1. assign V679757 = V634410 - 1. assign V857028 = V775878 - 1. assign V684527 = V690785. assign V638192 = V008725 - 1. assign V952569 = V853140 - 1. assign V872251 = V656165. assign V474323 = V532409 - 1. assign V718889 = V363830 - 1. assign V852329 = V936469. assign V895315 = V139178 + 1. assign V630119 = V718889 + 1. assign V620897 = V150188. assign V275971 = V632323 - 1. assign V150188 = V389931. assign V512690 = V852329. assign V587685 = V497309 + 1. assign V510591 = V747203. assign V503289 = V139178 + 1. assign V546552 = V872251. assign V336342 = V903232. assign V529552 = V718889 + 1. assign V205199 = V747203 - 1. assign V981124 = V656165 + 1. assign V765165 = V634410 - 1. assign V018994 = V532409 - 1. assign V363830 = V832541. assign V055954 = V894999 + 1. assign V634410 = V095103 - 1. assign V594214 = V391871. assign V095103 = V656165 - 1. assign V115124 = V718889 - 1. assign V389931 = V872251 - 1. assign V615205 = V008725. assign V894999 = V391871 - 1. assign V361392 = V872251 + 1. assign V443203 = V919153.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V747203 = V634410. assign V992427 = V765165 + 1. assign V391871 = V008725 - 1. assign V139178 = V312319. assign V656165 = V532409. assign V614920 = V656165 + 1. assign V576681 = V903232 - 1. assign V475195 = V416285 + 1. assign V354649 = V747203 + 1. assign V690785 = V679757. assign V832541 = V916785 + 1. assign V687767 = V139178. assign V488786 = V742277 - 1. assign V010997 = V008725 - 1. assign V345065 = V656165 + 1. assign V742277 = V508657 - 1. assign V699150 = V164760 + 1. assign V811783 = V656165. assign V405819 = V679757 + 1. assign V916785 = V656165 - 1. assign V618232 = V907521 - 1. assign V379806 = V361392 - 1. assign V651194 = V389931 - 1. assign V219400 = V474323 - 1. assign V506782 = V872251. assign V306579 = V872251. assign V936469 = V895315 - 1. assign V128580 = V150188 - 1. assign V709724 = V811783. assign V599711 = V919153. assign V775878 = 5. assign V532409 = V508657. assign V164760 = V008725 + 1. assign V683312 = V474323 + 1. assign V737222 = V690785. assign V497309 = V919153 + 1. assign V479605 = V632323 + 1. assign V919153 = V747203. assign V465822 = V506782 - 1. assign V371256 = V306579 + 1. assign V312319 = V872251 + 1. assign V008700 = V018994 + 1. assign V442181 = V614920 - 1. assign V033689 = V345065 + 1. assign V008725 = V443203 - 1. assign V903232 = V506782. assign V853140 = V679757 + 1. assign V416285 = V095103 + 1. assign V907521 = V475195 + 1. assign V632323 = V532409 + 1. assign V679757 = V634410 - 1. assign V857028 = V775878 - 1. assign V684527 = V690785. assign V638192 = V008725 - 1. assign V952569 = V853140 - 1. assign V872251 = V656165. assign V474323 = V532409 - 1. assign V718889 = V363830 - 1. assign V852329 = V936469. assign V895315 = V139178 + 1. assign V630119 = V718889 + 1. assign V620897 = V150188. assign V275971 = V632323 - 1. assign V150188 = V389931. assign V512690 = V852329. assign V587685 = V497309 + 1. assign V510591 = V747203. assign V503289 = V139178 + 1. assign V546552 = V872251. assign V336342 = V903232. assign V529552 = V718889 + 1. assign V205199 = V747203 - 1. assign V981124 = V656165 + 1. assign V765165 = V634410 - 1. assign V018994 = V532409 - 1. assign V363830 = V832541. assign V055954 = V894999 + 1. assign V634410 = V095103 - 1. assign V594214 = V391871. assign V095103 = V656165 - 1. assign V115124 = V718889 - 1. assign V389931 = V872251 - 1. assign V615205 = V008725. assign V894999 = V391871 - 1. assign V361392 = V872251 + 1. assign V443203 = V919153.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV775878 = 5;\n\nFrom these direct assignment(s), we have: \nV857028 = V775878 - 1 = 5 - 1 =4;\nNo other variables can be derived from V857028;\nNo other variables can be derived from V775878;\n\nNow we have done all the calculations. Derived variables are:\nV775878 = 5;\nV857028 = 4;\n\nNow we have finished this problem. ANSWER:\nV857028\n", "role": "assistant" } ]

[ "V972550", "V174978" ]

[ { "content": "<context>\nassign V134208 = V651543 - 1. assign V868410 = V989919 + 1. assign V967845 = V159073 + 1. assign V145973 = V495206 - 1. assign V809787 = V732965 + 1. assign V450761 = V809787 + 1. assign V320741 = V829886 - 1. assign V324599 = V495206. assign V253458 = V917675 + 1. assign V107830 = V860620 + 1. assign V445507 = V918629 + 1. assign V989919 = V416654. assign V996207 = V114074 - 1. assign V738713 = V752736 + 1. assign V651543 = V320741 - 1. assign V583971 = V582626. assign V441957 = V721017 + 1. assign V699412 = V374536. assign V918324 = V706635 - 1. assign V725892 = V366732. assign V293142 = V563197 - 1. assign V247547 = V674850 - 1. assign V582626 = V651543. assign V828301 = V725892. assign V910536 = V107830 - 1. assign V003266 = V352931 + 1. assign V416654 = V733284 - 1. assign V411836 = V706635. assign V752736 = V829886 + 1. assign V423559 = V130857. assign V733284 = V732965 + 1. assign V087871 = V917675 - 1. assign V972550 = 4. assign V956020 = V651543. assign V706635 = V450761 + 1. assign V459273 = V636480. assign V374536 = V893220. assign V159073 = V450761 + 1. assign V544875 = V495206 + 1. assign V980787 = V107830 - 1. assign V420267 = V674850 + 1. assign V114074 = V918324 - 1. assign V174978 = V972550. assign V009286 = V752736 + 1. assign V563197 = V732965 + 1. assign V674850 = V563197 + 1. assign V209488 = V829886. assign V917675 = V732965. assign V636480 = V860620. assign V757242 = V130857 + 1. assign V447071 = V732965 + 1. assign V644324 = V733284 + 1. assign V659942 = V320741 + 1. assign V366732 = V829886. assign V680488 = V809787 - 1. assign V647872 = V732965 - 1. assign V339923 = V917675 + 1. assign V198535 = V956020 - 1. assign V587320 = V582626 + 1. assign V729255 = V828301 + 1. assign V227437 = V107830 + 1. assign V918629 = V721017 + 1. assign V358687 = V910536 - 1. assign V352931 = V721017 - 1. assign V457060 = V366732 + 1. assign V592831 = V918324 + 1. assign V860620 = V809787. assign V155524 = V809787 + 1. assign V495206 = V134208 - 1. assign V571961 = V114074. assign V130857 = V651543 - 1. assign V525663 = V352931. assign V111896 = V300541 - 1. assign V410214 = V809787 + 1. assign V747303 = V636480 - 1. assign V829886 = V917675. assign V893220 = V732965. assign V918165 = V046299 - 1. assign V046299 = V209488. assign V721017 = V809787 + 1. assign V300541 = V495206 + 1. assign V941287 = V582626. assign V856201 = V674850. assign V560966 = V227437. assign V570952 = V917675. assign V898261 = V293142.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V134208 = V651543 - 1. assign V868410 = V989919 + 1. assign V967845 = V159073 + 1. assign V145973 = V495206 - 1. assign V809787 = V732965 + 1. assign V450761 = V809787 + 1. assign V320741 = V829886 - 1. assign V324599 = V495206. assign V253458 = V917675 + 1. assign V107830 = V860620 + 1. assign V445507 = V918629 + 1. assign V989919 = V416654. assign V996207 = V114074 - 1. assign V738713 = V752736 + 1. assign V651543 = V320741 - 1. assign V583971 = V582626. assign V441957 = V721017 + 1. assign V699412 = V374536. assign V918324 = V706635 - 1. assign V725892 = V366732. assign V293142 = V563197 - 1. assign V247547 = V674850 - 1. assign V582626 = V651543. assign V828301 = V725892. assign V910536 = V107830 - 1. assign V003266 = V352931 + 1. assign V416654 = V733284 - 1. assign V411836 = V706635. assign V752736 = V829886 + 1. assign V423559 = V130857. assign V733284 = V732965 + 1. assign V087871 = V917675 - 1. assign V972550 = 4. assign V956020 = V651543. assign V706635 = V450761 + 1. assign V459273 = V636480. assign V374536 = V893220. assign V159073 = V450761 + 1. assign V544875 = V495206 + 1. assign V980787 = V107830 - 1. assign V420267 = V674850 + 1. assign V114074 = V918324 - 1. assign V174978 = V972550. assign V009286 = V752736 + 1. assign V563197 = V732965 + 1. assign V674850 = V563197 + 1. assign V209488 = V829886. assign V917675 = V732965. assign V636480 = V860620. assign V757242 = V130857 + 1. assign V447071 = V732965 + 1. assign V644324 = V733284 + 1. assign V659942 = V320741 + 1. assign V366732 = V829886. assign V680488 = V809787 - 1. assign V647872 = V732965 - 1. assign V339923 = V917675 + 1. assign V198535 = V956020 - 1. assign V587320 = V582626 + 1. assign V729255 = V828301 + 1. assign V227437 = V107830 + 1. assign V918629 = V721017 + 1. assign V358687 = V910536 - 1. assign V352931 = V721017 - 1. assign V457060 = V366732 + 1. assign V592831 = V918324 + 1. assign V860620 = V809787. assign V155524 = V809787 + 1. assign V495206 = V134208 - 1. assign V571961 = V114074. assign V130857 = V651543 - 1. assign V525663 = V352931. assign V111896 = V300541 - 1. assign V410214 = V809787 + 1. assign V747303 = V636480 - 1. assign V829886 = V917675. assign V893220 = V732965. assign V918165 = V046299 - 1. assign V046299 = V209488. assign V721017 = V809787 + 1. assign V300541 = V495206 + 1. assign V941287 = V582626. assign V856201 = V674850. assign V560966 = V227437. assign V570952 = V917675. assign V898261 = V293142.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV972550 = 4;\n\nFrom these direct assignment(s), we have: \nV174978 = V972550 = 4;\nNo other variables can be derived from V174978;\nNo other variables can be derived from V972550;\n\nNow we have done all the calculations. Derived variables are:\nV972550 = 4;\nV174978 = 4;\n\nNow we have finished this problem. ANSWER:\nV972550, V174978\n", "role": "assistant" } ]

[ "V141473", "V736299" ]

[ { "content": "<context>\nassign V256774 = V343083 - 1. assign V747355 = V714512 + 1. assign V393565 = V826664 + 1. assign V630758 = V422849. assign V183470 = V630758. assign V194796 = V755648 - 1. assign V826664 = V977311 - 1. assign V947348 = V128325 - 1. assign V299188 = V478700 + 1. assign V507638 = V478700. assign V324822 = V422849. assign V127714 = V719167. assign V132171 = V779106 + 1. assign V250525 = V060948 - 1. assign V128325 = V182683 - 1. assign V343083 = V761226 - 1. assign V263912 = V973871 + 1. assign V761226 = V310972. assign V657674 = V084818 + 1. assign V505671 = V106985 - 1. assign V755648 = V629937 + 1. assign V480096 = V973871. assign V607732 = V061173 - 1. assign V663841 = V698286. assign V945971 = V393565. assign V763926 = V084818 - 1. assign V109849 = V977311 + 1. assign V952366 = V060948 - 1. assign V363381 = V194796 + 1. assign V106985 = V128325 + 1. assign V341592 = V852534. assign V736299 = V141473. assign V661259 = V826664 - 1. assign V296052 = V363381 + 1. assign V658740 = V661259. assign V739898 = V761226 - 1. assign V030127 = V852534 + 1. assign V084818 = V714512 - 1. assign V097170 = V324822 + 1. assign V555576 = V106985 + 1. assign V629937 = V182683 - 1. assign V061173 = V204442. assign V422849 = V388541. assign V514745 = V755648. assign V442640 = V698286. assign V852534 = V977311. assign V149847 = V113864 + 1. assign V396246 = V060948 + 1. assign V388541 = V128325 + 1. assign V228646 = V730983. assign V478700 = V422849. assign V804469 = V478700 + 1. assign V060948 = V324822 + 1. assign V817333 = V251501. assign V729551 = V739898. assign V698286 = V661259 - 1. assign V141473 = 5. assign V730983 = V755648. assign V204442 = V310972. assign V603495 = V084818. assign V301767 = V763926. assign V628184 = V251501 - 1. assign V878431 = V127714 - 1. assign V703734 = V106985. assign V579514 = V251501 + 1. assign V110245 = V507638 + 1. assign V973871 = V826664. assign V221295 = V480096 - 1. assign V779106 = V060948 + 1. assign V719167 = V739898 + 1. assign V802167 = V973871 - 1. assign V926039 = V607732 - 1. assign V364262 = V817333. assign V587075 = V763926 + 1. assign V947214 = V194796 + 1. assign V714512 = V388541 + 1. assign V408452 = V393565 + 1. assign V071457 = V364262 + 1. assign V977311 = V422849 + 1. assign V295308 = V630758. assign V310972 = V826664 - 1. assign V966643 = V947214 - 1. assign V251501 = V826664 + 1. assign V246383 = V977311 + 1. assign V982460 = V084818 - 1. assign V113864 = V388541 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V256774 = V343083 - 1. assign V747355 = V714512 + 1. assign V393565 = V826664 + 1. assign V630758 = V422849. assign V183470 = V630758. assign V194796 = V755648 - 1. assign V826664 = V977311 - 1. assign V947348 = V128325 - 1. assign V299188 = V478700 + 1. assign V507638 = V478700. assign V324822 = V422849. assign V127714 = V719167. assign V132171 = V779106 + 1. assign V250525 = V060948 - 1. assign V128325 = V182683 - 1. assign V343083 = V761226 - 1. assign V263912 = V973871 + 1. assign V761226 = V310972. assign V657674 = V084818 + 1. assign V505671 = V106985 - 1. assign V755648 = V629937 + 1. assign V480096 = V973871. assign V607732 = V061173 - 1. assign V663841 = V698286. assign V945971 = V393565. assign V763926 = V084818 - 1. assign V109849 = V977311 + 1. assign V952366 = V060948 - 1. assign V363381 = V194796 + 1. assign V106985 = V128325 + 1. assign V341592 = V852534. assign V736299 = V141473. assign V661259 = V826664 - 1. assign V296052 = V363381 + 1. assign V658740 = V661259. assign V739898 = V761226 - 1. assign V030127 = V852534 + 1. assign V084818 = V714512 - 1. assign V097170 = V324822 + 1. assign V555576 = V106985 + 1. assign V629937 = V182683 - 1. assign V061173 = V204442. assign V422849 = V388541. assign V514745 = V755648. assign V442640 = V698286. assign V852534 = V977311. assign V149847 = V113864 + 1. assign V396246 = V060948 + 1. assign V388541 = V128325 + 1. assign V228646 = V730983. assign V478700 = V422849. assign V804469 = V478700 + 1. assign V060948 = V324822 + 1. assign V817333 = V251501. assign V729551 = V739898. assign V698286 = V661259 - 1. assign V141473 = 5. assign V730983 = V755648. assign V204442 = V310972. assign V603495 = V084818. assign V301767 = V763926. assign V628184 = V251501 - 1. assign V878431 = V127714 - 1. assign V703734 = V106985. assign V579514 = V251501 + 1. assign V110245 = V507638 + 1. assign V973871 = V826664. assign V221295 = V480096 - 1. assign V779106 = V060948 + 1. assign V719167 = V739898 + 1. assign V802167 = V973871 - 1. assign V926039 = V607732 - 1. assign V364262 = V817333. assign V587075 = V763926 + 1. assign V947214 = V194796 + 1. assign V714512 = V388541 + 1. assign V408452 = V393565 + 1. assign V071457 = V364262 + 1. assign V977311 = V422849 + 1. assign V295308 = V630758. assign V310972 = V826664 - 1. assign V966643 = V947214 - 1. assign V251501 = V826664 + 1. assign V246383 = V977311 + 1. assign V982460 = V084818 - 1. assign V113864 = V388541 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV141473 = 5;\n\nFrom these direct assignment(s), we have: \nV736299 = V141473 = 5;\nNo other variables can be derived from V736299;\nNo other variables can be derived from V141473;\n\nNow we have done all the calculations. Derived variables are:\nV141473 = 5;\nV736299 = 5;\n\nNow we have finished this problem. ANSWER:\nV141473, V736299\n", "role": "assistant" } ]

[ "V099314" ]

[ { "content": "<context>\nassign V531834 = V472381. assign V570745 = V760607 - 1. assign V443754 = V786069 - 1. assign V540542 = V813961. assign V013133 = V583396. assign V075300 = V822481. assign V603269 = V491579 - 1. assign V226547 = V913629 + 1. assign V771618 = V546603 - 1. assign V622995 = V233806. assign V932702 = V765481. assign V585933 = V378157. assign V612980 = V528844. assign V546603 = V932702 - 1. assign V089780 = V533556. assign V452538 = V531834. assign V175283 = V678494. assign V533556 = V678494 - 1. assign V699894 = V491579 + 1. assign V813961 = V175283 - 1. assign V324201 = V932702. assign V501189 = V546603 - 1. assign V368929 = V442210. assign V751476 = V378157 - 1. assign V823427 = V501189. assign V080582 = V900299 - 1. assign V621520 = V443754 + 1. assign V233806 = V771618 - 1. assign V398266 = V813961 - 1. assign V401521 = V501189 + 1. assign V760607 = V175283 + 1. assign V200021 = V622995. assign V025731 = V394192 - 1. assign V491579 = V079026. assign V913629 = V436616 - 1. assign V482351 = V025731 + 1. assign V399138 = V696421. assign V378157 = V934163 + 1. assign V051068 = V758364 + 1. assign V277714 = V075300 + 1. assign V765481 = V822481 - 1. assign V979283 = V415573. assign V132911 = V822481. assign V249719 = V822481. assign V964545 = V249719 + 1. assign V099314 = V541044 - 1. assign V442210 = V612980. assign V469789 = V368929 - 1. assign V814019 = V271613. assign V111562 = V436616 - 1. assign V271613 = V076098 - 1. assign V583396 = V699894 - 1. assign V917795 = V612980 + 1. assign V033463 = V758364 + 1. assign V541044 = 1. assign V528844 = V758364 + 1. assign V394192 = V786069 - 1. assign V472381 = V678494 + 1. assign V968095 = V452538 - 1. assign V223080 = V271613 + 1. assign V786069 = V528844 + 1. assign V929397 = V528844 + 1. assign V957916 = V233806 + 1. assign V600990 = V436616. assign V727463 = V076098 + 1. assign V133447 = V062456. assign V800001 = V813961. assign V415573 = V727463. assign V900299 = V612980. assign V696421 = V546603 - 1. assign V589061 = V533556 - 1. assign V162236 = V688188. assign V100140 = V233806 - 1. assign V680531 = V528844. assign V079026 = V680531 + 1. assign V978000 = V051068. assign V688188 = V233806 - 1. assign V076098 = V528844. assign V071088 = V418236 + 1. assign V062456 = V570745. assign V418236 = V917795. assign V822481 = V678494 - 1. assign V436616 = V528844 + 1. assign V022009 = V528844. assign V934163 = V680531 + 1. assign V678494 = V758364 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V531834 = V472381. assign V570745 = V760607 - 1. assign V443754 = V786069 - 1. assign V540542 = V813961. assign V013133 = V583396. assign V075300 = V822481. assign V603269 = V491579 - 1. assign V226547 = V913629 + 1. assign V771618 = V546603 - 1. assign V622995 = V233806. assign V932702 = V765481. assign V585933 = V378157. assign V612980 = V528844. assign V546603 = V932702 - 1. assign V089780 = V533556. assign V452538 = V531834. assign V175283 = V678494. assign V533556 = V678494 - 1. assign V699894 = V491579 + 1. assign V813961 = V175283 - 1. assign V324201 = V932702. assign V501189 = V546603 - 1. assign V368929 = V442210. assign V751476 = V378157 - 1. assign V823427 = V501189. assign V080582 = V900299 - 1. assign V621520 = V443754 + 1. assign V233806 = V771618 - 1. assign V398266 = V813961 - 1. assign V401521 = V501189 + 1. assign V760607 = V175283 + 1. assign V200021 = V622995. assign V025731 = V394192 - 1. assign V491579 = V079026. assign V913629 = V436616 - 1. assign V482351 = V025731 + 1. assign V399138 = V696421. assign V378157 = V934163 + 1. assign V051068 = V758364 + 1. assign V277714 = V075300 + 1. assign V765481 = V822481 - 1. assign V979283 = V415573. assign V132911 = V822481. assign V249719 = V822481. assign V964545 = V249719 + 1. assign V099314 = V541044 - 1. assign V442210 = V612980. assign V469789 = V368929 - 1. assign V814019 = V271613. assign V111562 = V436616 - 1. assign V271613 = V076098 - 1. assign V583396 = V699894 - 1. assign V917795 = V612980 + 1. assign V033463 = V758364 + 1. assign V541044 = 1. assign V528844 = V758364 + 1. assign V394192 = V786069 - 1. assign V472381 = V678494 + 1. assign V968095 = V452538 - 1. assign V223080 = V271613 + 1. assign V786069 = V528844 + 1. assign V929397 = V528844 + 1. assign V957916 = V233806 + 1. assign V600990 = V436616. assign V727463 = V076098 + 1. assign V133447 = V062456. assign V800001 = V813961. assign V415573 = V727463. assign V900299 = V612980. assign V696421 = V546603 - 1. assign V589061 = V533556 - 1. assign V162236 = V688188. assign V100140 = V233806 - 1. assign V680531 = V528844. assign V079026 = V680531 + 1. assign V978000 = V051068. assign V688188 = V233806 - 1. assign V076098 = V528844. assign V071088 = V418236 + 1. assign V062456 = V570745. assign V418236 = V917795. assign V822481 = V678494 - 1. assign V436616 = V528844 + 1. assign V022009 = V528844. assign V934163 = V680531 + 1. assign V678494 = V758364 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV541044 = 1;\n\nFrom these direct assignment(s), we have: \nV099314 = V541044 - 1 = 1 - 1 =0;\nNo other variables can be derived from V099314;\nNo other variables can be derived from V541044;\n\nNow we have done all the calculations. Derived variables are:\nV541044 = 1;\nV099314 = 0;\n\nNow we have finished this problem. ANSWER:\nV099314\n", "role": "assistant" } ]

[ "V343025" ]

[ { "content": "<context>\nassign V398887 = V297974 - 1. assign V446127 = V737170 - 1. assign V838623 = V542924 + 1. assign V566362 = V141059 - 1. assign V838917 = V545667 + 1. assign V724482 = V454190 - 1. assign V932362 = V526531 - 1. assign V529882 = V589938 + 1. assign V526531 = V141059 + 1. assign V788254 = V073112. assign V842625 = V861645. assign V241370 = V351651 + 1. assign V470836 = V869580 - 1. assign V180494 = V398887. assign V135852 = V180494. assign V295149 = V589938 + 1. assign V067004 = V067878. assign V542924 = V624214 + 1. assign V846080 = V374592 - 1. assign V532539 = V216491. assign V342010 = V454472. assign V382311 = V244607. assign V217704 = V566362. assign V454190 = V800321 - 1. assign V454472 = V724482 + 1. assign V124040 = V244607. assign V276002 = V215291. assign V245830 = V548134 + 1. assign V521332 = V454190 + 1. assign V654379 = V382311. assign V120529 = V524452. assign V216491 = V772693. assign V141059 = V998079 + 1. assign V861645 = V215291 - 1. assign V112135 = V761695. assign V603546 = V800321. assign V788358 = V385060 - 1. assign V385060 = V897352 - 1. assign V529459 = V524452. assign V343025 = V407873 - 1. assign V545667 = V724482 + 1. assign V869580 = V624214 - 1. assign V374592 = V470836 - 1. assign V373844 = V737170 - 1. assign V977983 = V245830. assign V485495 = V838623 - 1. assign V761695 = V542924. assign V141128 = V067878 - 1. assign V524452 = V542924 + 1. assign V923527 = V295149 + 1. assign V297974 = V382311 - 1. assign V548134 = V566362 + 1. assign V897352 = V141059. assign V407873 = 8. assign V215291 = V737170 + 1. assign V304669 = V454190 + 1. assign V244607 = V542924 + 1. assign V067878 = V244607 + 1. assign V049911 = V245830 + 1. assign V510623 = V234735 + 1. assign V266711 = V446127. assign V800321 = V542924. assign V735040 = V215291 - 1. assign V998079 = V382311 - 1. assign V661142 = V374592 + 1. assign V724417 = V382311. assign V865474 = V737170 + 1. assign V387097 = V485495 + 1. assign V715030 = V897352. assign V073112 = V897352 - 1. assign V737170 = V998079 - 1. assign V552759 = V342010 + 1. assign V128059 = V861645 + 1. assign V234735 = V715030. assign V052334 = V748814 + 1. assign V665650 = V481103 - 1. assign V351651 = V120529. assign V589938 = V715030 - 1. assign V812354 = V624214 - 1. assign V960991 = V373844. assign V481103 = V737170 + 1. assign V772693 = V998079 + 1. assign V024596 = V532539 + 1. assign V748814 = V398887 + 1. assign V715868 = V470836 + 1. assign V957643 = V654379 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V398887 = V297974 - 1. assign V446127 = V737170 - 1. assign V838623 = V542924 + 1. assign V566362 = V141059 - 1. assign V838917 = V545667 + 1. assign V724482 = V454190 - 1. assign V932362 = V526531 - 1. assign V529882 = V589938 + 1. assign V526531 = V141059 + 1. assign V788254 = V073112. assign V842625 = V861645. assign V241370 = V351651 + 1. assign V470836 = V869580 - 1. assign V180494 = V398887. assign V135852 = V180494. assign V295149 = V589938 + 1. assign V067004 = V067878. assign V542924 = V624214 + 1. assign V846080 = V374592 - 1. assign V532539 = V216491. assign V342010 = V454472. assign V382311 = V244607. assign V217704 = V566362. assign V454190 = V800321 - 1. assign V454472 = V724482 + 1. assign V124040 = V244607. assign V276002 = V215291. assign V245830 = V548134 + 1. assign V521332 = V454190 + 1. assign V654379 = V382311. assign V120529 = V524452. assign V216491 = V772693. assign V141059 = V998079 + 1. assign V861645 = V215291 - 1. assign V112135 = V761695. assign V603546 = V800321. assign V788358 = V385060 - 1. assign V385060 = V897352 - 1. assign V529459 = V524452. assign V343025 = V407873 - 1. assign V545667 = V724482 + 1. assign V869580 = V624214 - 1. assign V374592 = V470836 - 1. assign V373844 = V737170 - 1. assign V977983 = V245830. assign V485495 = V838623 - 1. assign V761695 = V542924. assign V141128 = V067878 - 1. assign V524452 = V542924 + 1. assign V923527 = V295149 + 1. assign V297974 = V382311 - 1. assign V548134 = V566362 + 1. assign V897352 = V141059. assign V407873 = 8. assign V215291 = V737170 + 1. assign V304669 = V454190 + 1. assign V244607 = V542924 + 1. assign V067878 = V244607 + 1. assign V049911 = V245830 + 1. assign V510623 = V234735 + 1. assign V266711 = V446127. assign V800321 = V542924. assign V735040 = V215291 - 1. assign V998079 = V382311 - 1. assign V661142 = V374592 + 1. assign V724417 = V382311. assign V865474 = V737170 + 1. assign V387097 = V485495 + 1. assign V715030 = V897352. assign V073112 = V897352 - 1. assign V737170 = V998079 - 1. assign V552759 = V342010 + 1. assign V128059 = V861645 + 1. assign V234735 = V715030. assign V052334 = V748814 + 1. assign V665650 = V481103 - 1. assign V351651 = V120529. assign V589938 = V715030 - 1. assign V812354 = V624214 - 1. assign V960991 = V373844. assign V481103 = V737170 + 1. assign V772693 = V998079 + 1. assign V024596 = V532539 + 1. assign V748814 = V398887 + 1. assign V715868 = V470836 + 1. assign V957643 = V654379 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV407873 = 8;\n\nFrom these direct assignment(s), we have: \nV343025 = V407873 - 1 = 8 - 1 =7;\nNo other variables can be derived from V343025;\nNo other variables can be derived from V407873;\n\nNow we have done all the calculations. Derived variables are:\nV407873 = 8;\nV343025 = 7;\n\nNow we have finished this problem. ANSWER:\nV343025\n", "role": "assistant" } ]

[ "V577552" ]

[ { "content": "<context>\nassign V679692 = V575994 + 1. assign V450799 = V864461 + 1. assign V600365 = V945726 - 1. assign V860940 = V072870 - 1. assign V002952 = V235921 + 1. assign V846746 = V720980 - 1. assign V770584 = V504767 + 1. assign V491708 = V067113. assign V380394 = V498184. assign V240160 = V665391 + 1. assign V125191 = V380394. assign V711595 = V575994 + 1. assign V967714 = V945726 + 1. assign V523858 = V314013 + 1. assign V670747 = V504767 + 1. assign V834329 = V504767 - 1. assign V097059 = V182629. assign V878527 = V345684. assign V951187 = V213434. assign V711070 = V575994. assign V665391 = V670747. assign V372065 = V072870. assign V504767 = V725407. assign V165612 = V533975. assign V679941 = V190909 + 1. assign V681935 = V372065 + 1. assign V575994 = V755803 - 1. assign V673580 = V282249 - 1. assign V314013 = V673580 - 1. assign V067736 = V711595 - 1. assign V968044 = V670747 - 1. assign V509701 = V430395 - 1. assign V705081 = V197110. assign V190909 = V670747 - 1. assign V148100 = V711595 + 1. assign V589866 = V679941 + 1. assign V569454 = V670747. assign V235921 = V755803 - 1. assign V345684 = V582835 + 1. assign V825762 = V577552 + 1. assign V182629 = V670747 - 1. assign V430395 = V945726 - 1. assign V475236 = V738537. assign V755803 = V725407 - 1. assign V050399 = V067736 + 1. assign V269427 = V165612 + 1. assign V211750 = V770584 + 1. assign V577552 = 7. assign V898912 = V679941. assign V533975 = V504767. assign V357165 = V846746. assign V282249 = V864461 + 1. assign V864461 = V968044 - 1. assign V377918 = V967714 - 1. assign V442913 = V067736 - 1. assign V330371 = V670747. assign V197110 = V372065. assign V354301 = V738537. assign V988342 = V430395 - 1. assign V385322 = V755803 - 1. assign V622047 = V190909 - 1. assign V738537 = V172960 + 1. assign V213434 = V711595 + 1. assign V072870 = V755803 + 1. assign V635998 = V380394 - 1. assign V889794 = V720980 - 1. assign V945726 = V864461. assign V877553 = V450799 + 1. assign V720980 = V182629. assign V023846 = V569454. assign V496327 = V211750. assign V067113 = V509701. assign V489593 = V622047 - 1. assign V270805 = V157125 + 1. assign V358445 = V968044. assign V763233 = V670747 + 1. assign V082305 = V670747 + 1. assign V113326 = V002952. assign V582835 = V968044 + 1. assign V825979 = V197110 - 1. assign V275678 = V670747 + 1. assign V593730 = V269427 - 1. assign V157125 = V720980 - 1. assign V498184 = V864461 + 1. assign V172960 = V968044. assign V924109 = V711595 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V679692 = V575994 + 1. assign V450799 = V864461 + 1. assign V600365 = V945726 - 1. assign V860940 = V072870 - 1. assign V002952 = V235921 + 1. assign V846746 = V720980 - 1. assign V770584 = V504767 + 1. assign V491708 = V067113. assign V380394 = V498184. assign V240160 = V665391 + 1. assign V125191 = V380394. assign V711595 = V575994 + 1. assign V967714 = V945726 + 1. assign V523858 = V314013 + 1. assign V670747 = V504767 + 1. assign V834329 = V504767 - 1. assign V097059 = V182629. assign V878527 = V345684. assign V951187 = V213434. assign V711070 = V575994. assign V665391 = V670747. assign V372065 = V072870. assign V504767 = V725407. assign V165612 = V533975. assign V679941 = V190909 + 1. assign V681935 = V372065 + 1. assign V575994 = V755803 - 1. assign V673580 = V282249 - 1. assign V314013 = V673580 - 1. assign V067736 = V711595 - 1. assign V968044 = V670747 - 1. assign V509701 = V430395 - 1. assign V705081 = V197110. assign V190909 = V670747 - 1. assign V148100 = V711595 + 1. assign V589866 = V679941 + 1. assign V569454 = V670747. assign V235921 = V755803 - 1. assign V345684 = V582835 + 1. assign V825762 = V577552 + 1. assign V182629 = V670747 - 1. assign V430395 = V945726 - 1. assign V475236 = V738537. assign V755803 = V725407 - 1. assign V050399 = V067736 + 1. assign V269427 = V165612 + 1. assign V211750 = V770584 + 1. assign V577552 = 7. assign V898912 = V679941. assign V533975 = V504767. assign V357165 = V846746. assign V282249 = V864461 + 1. assign V864461 = V968044 - 1. assign V377918 = V967714 - 1. assign V442913 = V067736 - 1. assign V330371 = V670747. assign V197110 = V372065. assign V354301 = V738537. assign V988342 = V430395 - 1. assign V385322 = V755803 - 1. assign V622047 = V190909 - 1. assign V738537 = V172960 + 1. assign V213434 = V711595 + 1. assign V072870 = V755803 + 1. assign V635998 = V380394 - 1. assign V889794 = V720980 - 1. assign V945726 = V864461. assign V877553 = V450799 + 1. assign V720980 = V182629. assign V023846 = V569454. assign V496327 = V211750. assign V067113 = V509701. assign V489593 = V622047 - 1. assign V270805 = V157125 + 1. assign V358445 = V968044. assign V763233 = V670747 + 1. assign V082305 = V670747 + 1. assign V113326 = V002952. assign V582835 = V968044 + 1. assign V825979 = V197110 - 1. assign V275678 = V670747 + 1. assign V593730 = V269427 - 1. assign V157125 = V720980 - 1. assign V498184 = V864461 + 1. assign V172960 = V968044. assign V924109 = V711595 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV577552 = 7;\n\nFrom these direct assignment(s), we have: \nV825762 = V577552 + 1 = 7 + 1 =8;\nNo other variables can be derived from V825762;\nNo other variables can be derived from V577552;\n\nNow we have done all the calculations. Derived variables are:\nV577552 = 7;\nV825762 = 8;\n\nNow we have finished this problem. ANSWER:\nV577552\n", "role": "assistant" } ]

[ "V367110" ]

[ { "content": "<context>\nassign V538918 = V159653 + 1. assign V329791 = V038178 - 1. assign V935567 = V934298 + 1. assign V381498 = V174505 - 1. assign V772501 = V056632 - 1. assign V330646 = V442609 - 1. assign V074284 = V187794. assign V349674 = V330646. assign V249532 = V597990 - 1. assign V780931 = 2. assign V866707 = V953723 + 1. assign V482962 = V597990 - 1. assign V271425 = V056632. assign V638768 = V752434 - 1. assign V913080 = V953723 + 1. assign V442609 = V953723 + 1. assign V977395 = V934298. assign V193039 = V056632 - 1. assign V166376 = V249532. assign V049228 = V953723 - 1. assign V661919 = V590872 + 1. assign V592992 = V801637 - 1. assign V569243 = V866707 - 1. assign V949081 = V492001 + 1. assign V934298 = V781424 - 1. assign V492001 = V159653 + 1. assign V659815 = V281260 + 1. assign V774393 = V781424. assign V423855 = V623419. assign V766848 = V296666 - 1. assign V135165 = V056632 - 1. assign V296666 = V330646. assign V285976 = V549869. assign V549869 = V187794 + 1. assign V390781 = V366576 - 1. assign V224269 = V952286 - 1. assign V677995 = V038178 + 1. assign V790577 = V330646 + 1. assign V364231 = V071689. assign V367110 = V780931 - 1. assign V993303 = V020636 + 1. assign V413120 = V935567 + 1. assign V105954 = V625352. assign V002111 = V801637 + 1. assign V071689 = V766848 - 1. assign V201154 = V772501. assign V425498 = V597990 + 1. assign V625352 = V249532 + 1. assign V020636 = V677995 - 1. assign V281260 = V105892. assign V159653 = V913080. assign V472751 = V559830 + 1. assign V590872 = V442609. assign V972868 = V790577 + 1. assign V901984 = V772501 + 1. assign V331521 = V866707 - 1. assign V061356 = V781424. assign V801637 = V781424 + 1. assign V480117 = V625352 - 1. assign V802450 = V174505 + 1. assign V781424 = V123209. assign V366576 = V480117. assign V351572 = V159653 - 1. assign V576462 = V774393 + 1. assign V757966 = V482962 + 1. assign V136383 = V423855 - 1. assign V187794 = V953723 - 1. assign V801235 = V953723 + 1. assign V691012 = V038178. assign V455270 = V160699 + 1. assign V951779 = V781424 - 1. assign V160699 = V482962. assign V623419 = V625352 - 1. assign V752434 = V559830 + 1. assign V251444 = V135165 + 1. assign V123209 = V549869. assign V056632 = V953723 - 1. assign V038178 = V597990 - 1. assign V952286 = V569243 - 1. assign V105892 = V801235 - 1. assign V048317 = V625352 - 1. assign V119361 = V935567. assign V095842 = V349674. assign V559830 = V549869 - 1. assign V174505 = V123209 - 1. assign V597990 = V330646 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V538918 = V159653 + 1. assign V329791 = V038178 - 1. assign V935567 = V934298 + 1. assign V381498 = V174505 - 1. assign V772501 = V056632 - 1. assign V330646 = V442609 - 1. assign V074284 = V187794. assign V349674 = V330646. assign V249532 = V597990 - 1. assign V780931 = 2. assign V866707 = V953723 + 1. assign V482962 = V597990 - 1. assign V271425 = V056632. assign V638768 = V752434 - 1. assign V913080 = V953723 + 1. assign V442609 = V953723 + 1. assign V977395 = V934298. assign V193039 = V056632 - 1. assign V166376 = V249532. assign V049228 = V953723 - 1. assign V661919 = V590872 + 1. assign V592992 = V801637 - 1. assign V569243 = V866707 - 1. assign V949081 = V492001 + 1. assign V934298 = V781424 - 1. assign V492001 = V159653 + 1. assign V659815 = V281260 + 1. assign V774393 = V781424. assign V423855 = V623419. assign V766848 = V296666 - 1. assign V135165 = V056632 - 1. assign V296666 = V330646. assign V285976 = V549869. assign V549869 = V187794 + 1. assign V390781 = V366576 - 1. assign V224269 = V952286 - 1. assign V677995 = V038178 + 1. assign V790577 = V330646 + 1. assign V364231 = V071689. assign V367110 = V780931 - 1. assign V993303 = V020636 + 1. assign V413120 = V935567 + 1. assign V105954 = V625352. assign V002111 = V801637 + 1. assign V071689 = V766848 - 1. assign V201154 = V772501. assign V425498 = V597990 + 1. assign V625352 = V249532 + 1. assign V020636 = V677995 - 1. assign V281260 = V105892. assign V159653 = V913080. assign V472751 = V559830 + 1. assign V590872 = V442609. assign V972868 = V790577 + 1. assign V901984 = V772501 + 1. assign V331521 = V866707 - 1. assign V061356 = V781424. assign V801637 = V781424 + 1. assign V480117 = V625352 - 1. assign V802450 = V174505 + 1. assign V781424 = V123209. assign V366576 = V480117. assign V351572 = V159653 - 1. assign V576462 = V774393 + 1. assign V757966 = V482962 + 1. assign V136383 = V423855 - 1. assign V187794 = V953723 - 1. assign V801235 = V953723 + 1. assign V691012 = V038178. assign V455270 = V160699 + 1. assign V951779 = V781424 - 1. assign V160699 = V482962. assign V623419 = V625352 - 1. assign V752434 = V559830 + 1. assign V251444 = V135165 + 1. assign V123209 = V549869. assign V056632 = V953723 - 1. assign V038178 = V597990 - 1. assign V952286 = V569243 - 1. assign V105892 = V801235 - 1. assign V048317 = V625352 - 1. assign V119361 = V935567. assign V095842 = V349674. assign V559830 = V549869 - 1. assign V174505 = V123209 - 1. assign V597990 = V330646 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV780931 = 2;\n\nFrom these direct assignment(s), we have: \nV367110 = V780931 - 1 = 2 - 1 =1;\nNo other variables can be derived from V367110;\nNo other variables can be derived from V780931;\n\nNow we have done all the calculations. Derived variables are:\nV780931 = 2;\nV367110 = 1;\n\nNow we have finished this problem. ANSWER:\nV367110\n", "role": "assistant" } ]

[ "V632187" ]

[ { "content": "<context>\nassign V105081 = V065431. assign V875284 = V101059. assign V960105 = V923362 + 1. assign V103836 = V254193 + 1. assign V899745 = V491275 + 1. assign V166397 = V790773 + 1. assign V301276 = V548769. assign V865318 = V418339. assign V352197 = V923185 + 1. assign V725306 = V776160 - 1. assign V192833 = V364842 + 1. assign V706131 = V154921 - 1. assign V679202 = V772521. assign V548769 = V776160 + 1. assign V193074 = V622331 + 1. assign V539054 = V418339. assign V731202 = V356186 - 1. assign V782019 = V923185. assign V596367 = V725306 - 1. assign V384207 = V415617 - 1. assign V492961 = V953868. assign V027548 = V353490 + 1. assign V685141 = V254193 + 1. assign V355241 = V685141. assign V527431 = V790773 - 1. assign V057003 = V832306 + 1. assign V820059 = V923185. assign V015777 = V641105 + 1. assign V102027 = V966690 + 1. assign V586304 = V679202 - 1. assign V277567 = V539054 + 1. assign V148396 = V909855. assign V641105 = V356186 - 1. assign V694494 = V686870 - 1. assign V621562 = V573438 - 1. assign V729010 = V772521 + 1. assign V121875 = V820059. assign V772550 = V364842 - 1. assign V491275 = V548769 + 1. assign V085763 = 3. assign V065431 = V776160 + 1. assign V933482 = V865318 + 1. assign V832306 = V148396 + 1. assign V522158 = V657208 + 1. assign V923362 = V154921. assign V415617 = V102027 - 1. assign V657208 = V641105. assign V175973 = V418339 + 1. assign V622331 = V621562 + 1. assign V427904 = V791727 + 1. assign V945716 = V027548. assign V776160 = V254193. assign V203167 = V991569. assign V772521 = V923185 + 1. assign V418339 = V776160. assign V364842 = V923185 + 1. assign V909855 = V065431. assign V884254 = V254193. assign V309636 = V923185. assign V240040 = V953868 + 1. assign V791727 = V309636 + 1. assign V101059 = V782019 + 1. assign V353490 = V192833. assign V775875 = V121875 + 1. assign V106481 = V027548. assign V566351 = V415617. assign V534652 = V790773 + 1. assign V697352 = V548769. assign V873306 = V586304 + 1. assign V919329 = V772521. assign V188548 = V679202. assign V632187 = V085763 - 1. assign V297088 = V832306 + 1. assign V154921 = V586304. assign V328022 = V725306. assign V549840 = V384207 + 1. assign V923185 = V254193. assign V790773 = V175973. assign V896699 = V731202. assign V356186 = V309636 - 1. assign V925842 = V884254 + 1. assign V953868 = V820059. assign V991569 = V884254. assign V573438 = V729010. assign V966690 = V865318. assign V686870 = V240040.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V105081 = V065431. assign V875284 = V101059. assign V960105 = V923362 + 1. assign V103836 = V254193 + 1. assign V899745 = V491275 + 1. assign V166397 = V790773 + 1. assign V301276 = V548769. assign V865318 = V418339. assign V352197 = V923185 + 1. assign V725306 = V776160 - 1. assign V192833 = V364842 + 1. assign V706131 = V154921 - 1. assign V679202 = V772521. assign V548769 = V776160 + 1. assign V193074 = V622331 + 1. assign V539054 = V418339. assign V731202 = V356186 - 1. assign V782019 = V923185. assign V596367 = V725306 - 1. assign V384207 = V415617 - 1. assign V492961 = V953868. assign V027548 = V353490 + 1. assign V685141 = V254193 + 1. assign V355241 = V685141. assign V527431 = V790773 - 1. assign V057003 = V832306 + 1. assign V820059 = V923185. assign V015777 = V641105 + 1. assign V102027 = V966690 + 1. assign V586304 = V679202 - 1. assign V277567 = V539054 + 1. assign V148396 = V909855. assign V641105 = V356186 - 1. assign V694494 = V686870 - 1. assign V621562 = V573438 - 1. assign V729010 = V772521 + 1. assign V121875 = V820059. assign V772550 = V364842 - 1. assign V491275 = V548769 + 1. assign V085763 = 3. assign V065431 = V776160 + 1. assign V933482 = V865318 + 1. assign V832306 = V148396 + 1. assign V522158 = V657208 + 1. assign V923362 = V154921. assign V415617 = V102027 - 1. assign V657208 = V641105. assign V175973 = V418339 + 1. assign V622331 = V621562 + 1. assign V427904 = V791727 + 1. assign V945716 = V027548. assign V776160 = V254193. assign V203167 = V991569. assign V772521 = V923185 + 1. assign V418339 = V776160. assign V364842 = V923185 + 1. assign V909855 = V065431. assign V884254 = V254193. assign V309636 = V923185. assign V240040 = V953868 + 1. assign V791727 = V309636 + 1. assign V101059 = V782019 + 1. assign V353490 = V192833. assign V775875 = V121875 + 1. assign V106481 = V027548. assign V566351 = V415617. assign V534652 = V790773 + 1. assign V697352 = V548769. assign V873306 = V586304 + 1. assign V919329 = V772521. assign V188548 = V679202. assign V632187 = V085763 - 1. assign V297088 = V832306 + 1. assign V154921 = V586304. assign V328022 = V725306. assign V549840 = V384207 + 1. assign V923185 = V254193. assign V790773 = V175973. assign V896699 = V731202. assign V356186 = V309636 - 1. assign V925842 = V884254 + 1. assign V953868 = V820059. assign V991569 = V884254. assign V573438 = V729010. assign V966690 = V865318. assign V686870 = V240040.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV085763 = 3;\n\nFrom these direct assignment(s), we have: \nV632187 = V085763 - 1 = 3 - 1 =2;\nNo other variables can be derived from V632187;\nNo other variables can be derived from V085763;\n\nNow we have done all the calculations. Derived variables are:\nV085763 = 3;\nV632187 = 2;\n\nNow we have finished this problem. ANSWER:\nV632187\n", "role": "assistant" } ]

[ "V104395" ]

[ { "content": "<context>\nassign V081815 = V127018. assign V703084 = V840221 - 1. assign V454158 = V916687 + 1. assign V222037 = V522627 + 1. assign V858766 = V680482. assign V416579 = V908844. assign V478347 = V916687. assign V714778 = V772919. assign V243779 = V423913 + 1. assign V372948 = V478347 + 1. assign V186164 = V722846. assign V836835 = V127018 - 1. assign V693810 = V423913. assign V883798 = V668426 + 1. assign V789100 = V272349 + 1. assign V574939 = V031193 - 1. assign V900353 = V577981 + 1. assign V713238 = V243779. assign V842291 = V836835. assign V232915 = V588181 + 1. assign V612199 = V329315 - 1. assign V196196 = V416579. assign V437186 = V081815. assign V668426 = V840221 + 1. assign V680482 = V141233 - 1. assign V902683 = V329315 - 1. assign V271025 = V127018 - 1. assign V588181 = V083442. assign V982460 = V272349 + 1. assign V149420 = V100748 + 1. assign V301066 = V271025 + 1. assign V146167 = V693810. assign V344227 = V902683. assign V031193 = V836835 - 1. assign V524807 = V081815 + 1. assign V772919 = V917831. assign V516236 = V772919 + 1. assign V535291 = V818063 - 1. assign V908844 = V031193 + 1. assign V722846 = V273574 - 1. assign V518683 = V903366 + 1. assign V597349 = V141233 + 1. assign V917831 = V433020. assign V607721 = 5. assign V127018 = V272349 - 1. assign V522627 = V301066. assign V415336 = V117479 + 1. assign V269751 = V433020 - 1. assign V100748 = V141233 - 1. assign V141233 = V272349 + 1. assign V105479 = V149420 - 1. assign V635392 = V908844 + 1. assign V273574 = V917831 + 1. assign V619388 = V693810. assign V573653 = V161197 + 1. assign V088827 = V982460. assign V577981 = V836835. assign V248366 = V842291. assign V262133 = V329315 + 1. assign V104395 = V607721 - 1. assign V926406 = V732143 - 1. assign V350916 = V732143. assign V329315 = V789100 + 1. assign V738798 = V031193 + 1. assign V732143 = V789100. assign V161197 = V574939. assign V041744 = V433020. assign V459060 = V713238 + 1. assign V840221 = V982460 - 1. assign V395390 = V041744. assign V423913 = V982460. assign V117479 = V272349 + 1. assign V494378 = V196196 + 1. assign V027050 = V494378 + 1. assign V148043 = V301066 + 1. assign V041940 = V505304 + 1. assign V505304 = V433020 - 1. assign V172490 = V423913 - 1. assign V249077 = V789100 - 1. assign V063109 = V027050 - 1. assign V903366 = V344227 - 1. assign V433020 = V982460 - 1. assign V818063 = V916687. assign V083442 = V982460. assign V916687 = V301066. assign V654684 = V454158 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V081815 = V127018. assign V703084 = V840221 - 1. assign V454158 = V916687 + 1. assign V222037 = V522627 + 1. assign V858766 = V680482. assign V416579 = V908844. assign V478347 = V916687. assign V714778 = V772919. assign V243779 = V423913 + 1. assign V372948 = V478347 + 1. assign V186164 = V722846. assign V836835 = V127018 - 1. assign V693810 = V423913. assign V883798 = V668426 + 1. assign V789100 = V272349 + 1. assign V574939 = V031193 - 1. assign V900353 = V577981 + 1. assign V713238 = V243779. assign V842291 = V836835. assign V232915 = V588181 + 1. assign V612199 = V329315 - 1. assign V196196 = V416579. assign V437186 = V081815. assign V668426 = V840221 + 1. assign V680482 = V141233 - 1. assign V902683 = V329315 - 1. assign V271025 = V127018 - 1. assign V588181 = V083442. assign V982460 = V272349 + 1. assign V149420 = V100748 + 1. assign V301066 = V271025 + 1. assign V146167 = V693810. assign V344227 = V902683. assign V031193 = V836835 - 1. assign V524807 = V081815 + 1. assign V772919 = V917831. assign V516236 = V772919 + 1. assign V535291 = V818063 - 1. assign V908844 = V031193 + 1. assign V722846 = V273574 - 1. assign V518683 = V903366 + 1. assign V597349 = V141233 + 1. assign V917831 = V433020. assign V607721 = 5. assign V127018 = V272349 - 1. assign V522627 = V301066. assign V415336 = V117479 + 1. assign V269751 = V433020 - 1. assign V100748 = V141233 - 1. assign V141233 = V272349 + 1. assign V105479 = V149420 - 1. assign V635392 = V908844 + 1. assign V273574 = V917831 + 1. assign V619388 = V693810. assign V573653 = V161197 + 1. assign V088827 = V982460. assign V577981 = V836835. assign V248366 = V842291. assign V262133 = V329315 + 1. assign V104395 = V607721 - 1. assign V926406 = V732143 - 1. assign V350916 = V732143. assign V329315 = V789100 + 1. assign V738798 = V031193 + 1. assign V732143 = V789100. assign V161197 = V574939. assign V041744 = V433020. assign V459060 = V713238 + 1. assign V840221 = V982460 - 1. assign V395390 = V041744. assign V423913 = V982460. assign V117479 = V272349 + 1. assign V494378 = V196196 + 1. assign V027050 = V494378 + 1. assign V148043 = V301066 + 1. assign V041940 = V505304 + 1. assign V505304 = V433020 - 1. assign V172490 = V423913 - 1. assign V249077 = V789100 - 1. assign V063109 = V027050 - 1. assign V903366 = V344227 - 1. assign V433020 = V982460 - 1. assign V818063 = V916687. assign V083442 = V982460. assign V916687 = V301066. assign V654684 = V454158 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV607721 = 5;\n\nFrom these direct assignment(s), we have: \nV104395 = V607721 - 1 = 5 - 1 =4;\nNo other variables can be derived from V104395;\nNo other variables can be derived from V607721;\n\nNow we have done all the calculations. Derived variables are:\nV607721 = 5;\nV104395 = 4;\n\nNow we have finished this problem. ANSWER:\nV104395\n", "role": "assistant" } ]

[ "V337740" ]

[ { "content": "<context>\nassign V664643 = V787925 - 1. assign V916470 = V962783 - 1. assign V357431 = V117022 + 1. assign V140826 = V356063. assign V673141 = V163375. assign V567057 = V079260 - 1. assign V829340 = V252326 + 1. assign V187858 = V956511 - 1. assign V791041 = V247034 - 1. assign V922808 = V388101 - 1. assign V388101 = V633784 - 1. assign V430068 = V245507 + 1. assign V862160 = V137756 - 1. assign V136489 = V911227 + 1. assign V578879 = V140826. assign V794850 = V633784. assign V203707 = V533260 - 1. assign V832277 = V626902 + 1. assign V911227 = V633784 - 1. assign V826402 = V356063. assign V195609 = V567057. assign V009940 = V079260 - 1. assign V685398 = V519034 + 1. assign V287312 = V673141. assign V252326 = V633784. assign V543164 = V140826 - 1. assign V327205 = V911227 - 1. assign V256587 = V088031 + 1. assign V349861 = V388101 + 1. assign V956511 = V143295 - 1. assign V094613 = V626902 + 1. assign V924808 = V256587 - 1. assign V203090 = V245507 - 1. assign V821713 = V143295 - 1. assign V772240 = V117022 - 1. assign V943374 = V633784 + 1. assign V200113 = V533260 + 1. assign V551848 = V195609 - 1. assign V672057 = V247034 + 1. assign V163375 = V117022. assign V797995 = V076102 + 1. assign V626902 = V968628 + 1. assign V633784 = V051107 + 1. assign V117022 = V633784 + 1. assign V666982 = V140826 - 1. assign V596908 = V337740 + 1. assign V137756 = V685398. assign V776192 = V247034. assign V373454 = V464877. assign V402564 = V943374 - 1. assign V512960 = V787925. assign V353467 = V009940 + 1. assign V442385 = V247034 - 1. assign V487577 = V280871 + 1. assign V051107 = V567057. assign V178013 = V922808 - 1. assign V787925 = V051107 + 1. assign V088031 = V922808 - 1. assign V032078 = V685398. assign V216759 = V178013. assign V245507 = V117022. assign V076102 = V203090 - 1. assign V694677 = V137756 - 1. assign V519034 = V178013 + 1. assign V337740 = 4. assign V256135 = V943374 + 1. assign V093024 = V247034 - 1. assign V962783 = V079260 + 1. assign V968628 = V911227. assign V586070 = V633784. assign V329165 = V356063 + 1. assign V146240 = V252326 - 1. assign V247034 = V356063. assign V533260 = V962783 - 1. assign V644818 = V356063 - 1. assign V464877 = V644818 - 1. assign V356063 = V079260 - 1. assign V143295 = V962783 - 1. assign V575983 = V137756 + 1. assign V943881 = V234540 + 1. assign V234540 = V136489 + 1. assign V280871 = V567057. assign V404312 = V203090 - 1. assign V782269 = V203090. assign V642571 = V533260 + 1. assign V989667 = V832277 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V664643 = V787925 - 1. assign V916470 = V962783 - 1. assign V357431 = V117022 + 1. assign V140826 = V356063. assign V673141 = V163375. assign V567057 = V079260 - 1. assign V829340 = V252326 + 1. assign V187858 = V956511 - 1. assign V791041 = V247034 - 1. assign V922808 = V388101 - 1. assign V388101 = V633784 - 1. assign V430068 = V245507 + 1. assign V862160 = V137756 - 1. assign V136489 = V911227 + 1. assign V578879 = V140826. assign V794850 = V633784. assign V203707 = V533260 - 1. assign V832277 = V626902 + 1. assign V911227 = V633784 - 1. assign V826402 = V356063. assign V195609 = V567057. assign V009940 = V079260 - 1. assign V685398 = V519034 + 1. assign V287312 = V673141. assign V252326 = V633784. assign V543164 = V140826 - 1. assign V327205 = V911227 - 1. assign V256587 = V088031 + 1. assign V349861 = V388101 + 1. assign V956511 = V143295 - 1. assign V094613 = V626902 + 1. assign V924808 = V256587 - 1. assign V203090 = V245507 - 1. assign V821713 = V143295 - 1. assign V772240 = V117022 - 1. assign V943374 = V633784 + 1. assign V200113 = V533260 + 1. assign V551848 = V195609 - 1. assign V672057 = V247034 + 1. assign V163375 = V117022. assign V797995 = V076102 + 1. assign V626902 = V968628 + 1. assign V633784 = V051107 + 1. assign V117022 = V633784 + 1. assign V666982 = V140826 - 1. assign V596908 = V337740 + 1. assign V137756 = V685398. assign V776192 = V247034. assign V373454 = V464877. assign V402564 = V943374 - 1. assign V512960 = V787925. assign V353467 = V009940 + 1. assign V442385 = V247034 - 1. assign V487577 = V280871 + 1. assign V051107 = V567057. assign V178013 = V922808 - 1. assign V787925 = V051107 + 1. assign V088031 = V922808 - 1. assign V032078 = V685398. assign V216759 = V178013. assign V245507 = V117022. assign V076102 = V203090 - 1. assign V694677 = V137756 - 1. assign V519034 = V178013 + 1. assign V337740 = 4. assign V256135 = V943374 + 1. assign V093024 = V247034 - 1. assign V962783 = V079260 + 1. assign V968628 = V911227. assign V586070 = V633784. assign V329165 = V356063 + 1. assign V146240 = V252326 - 1. assign V247034 = V356063. assign V533260 = V962783 - 1. assign V644818 = V356063 - 1. assign V464877 = V644818 - 1. assign V356063 = V079260 - 1. assign V143295 = V962783 - 1. assign V575983 = V137756 + 1. assign V943881 = V234540 + 1. assign V234540 = V136489 + 1. assign V280871 = V567057. assign V404312 = V203090 - 1. assign V782269 = V203090. assign V642571 = V533260 + 1. assign V989667 = V832277 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV337740 = 4;\n\nFrom these direct assignment(s), we have: \nV596908 = V337740 + 1 = 4 + 1 =5;\nNo other variables can be derived from V596908;\nNo other variables can be derived from V337740;\n\nNow we have done all the calculations. Derived variables are:\nV337740 = 4;\nV596908 = 5;\n\nNow we have finished this problem. ANSWER:\nV337740\n", "role": "assistant" } ]

[ "V671142" ]

[ { "content": "<context>\nassign V727042 = V570576 - 1. assign V773359 = V541863 - 1. assign V841025 = V604409. assign V718388 = V702620. assign V619432 = V121695 + 1. assign V760513 = V380171 + 1. assign V058000 = V560388 + 1. assign V461913 = V610519 + 1. assign V093762 = V023532. assign V591910 = V837954 + 1. assign V062408 = V177006 - 1. assign V087539 = V643873 - 1. assign V581488 = V560388 + 1. assign V337418 = V235521. assign V346563 = V560388. assign V604409 = V560388 + 1. assign V177006 = V688615 - 1. assign V086835 = V023532 + 1. assign V541863 = V143018 - 1. assign V060317 = V235521 + 1. assign V570434 = V463690 + 1. assign V471946 = V541863 + 1. assign V133427 = V727042 + 1. assign V891717 = V597643 - 1. assign V643873 = V212199 + 1. assign V284917 = V536440. assign V702620 = V058000. assign V376868 = V337603. assign V402090 = V604409 - 1. assign V846378 = V906996 - 1. assign V571953 = V570576 + 1. assign V518014 = V570576 + 1. assign V023532 = V463690 - 1. assign V560388 = V456813 - 1. assign V570576 = V456813 - 1. assign V586686 = V536440. assign V235521 = V058000 + 1. assign V041296 = V837954 + 1. assign V074323 = V693963 + 1. assign V633947 = V074323. assign V108511 = V087539 + 1. assign V182502 = V570576. assign V978599 = V337603 - 1. assign V621843 = V619432 + 1. assign V906996 = V536440 - 1. assign V223282 = V337603. assign V829937 = V177006. assign V380171 = V879990 + 1. assign V061757 = V688615 - 1. assign V150269 = V581488 - 1. assign V688615 = V570576 + 1. assign V337603 = V570576 - 1. assign V280925 = V062408 + 1. assign V642204 = V906996 + 1. assign V081653 = V041296 + 1. assign V902341 = V702620 + 1. assign V305097 = V693963. assign V455665 = V074323 + 1. assign V523988 = V058000 + 1. assign V143018 = V380171 + 1. assign V212199 = V571953. assign V837954 = V536440 + 1. assign V693963 = V837954 - 1. assign V265641 = V058000. assign V274872 = V719740 - 1. assign V033885 = V643873 - 1. assign V931682 = V046784 - 1. assign V046784 = V610519 + 1. assign V463690 = V337603 + 1. assign V121695 = V402090. assign V719740 = V536440. assign V448113 = V463690 + 1. assign V599024 = V471946 - 1. assign V296344 = V671142 - 1. assign V029759 = V074323 + 1. assign V920683 = V284917 - 1. assign V536440 = V456813 - 1. assign V359954 = V688615 + 1. assign V671142 = 6. assign V717987 = V177006 + 1. assign V542707 = V033885 - 1. assign V610519 = V560388 + 1. assign V409277 = V081653. assign V879990 = V182502 + 1. assign V547690 = V906996 + 1. assign V597643 = V061757.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V727042 = V570576 - 1. assign V773359 = V541863 - 1. assign V841025 = V604409. assign V718388 = V702620. assign V619432 = V121695 + 1. assign V760513 = V380171 + 1. assign V058000 = V560388 + 1. assign V461913 = V610519 + 1. assign V093762 = V023532. assign V591910 = V837954 + 1. assign V062408 = V177006 - 1. assign V087539 = V643873 - 1. assign V581488 = V560388 + 1. assign V337418 = V235521. assign V346563 = V560388. assign V604409 = V560388 + 1. assign V177006 = V688615 - 1. assign V086835 = V023532 + 1. assign V541863 = V143018 - 1. assign V060317 = V235521 + 1. assign V570434 = V463690 + 1. assign V471946 = V541863 + 1. assign V133427 = V727042 + 1. assign V891717 = V597643 - 1. assign V643873 = V212199 + 1. assign V284917 = V536440. assign V702620 = V058000. assign V376868 = V337603. assign V402090 = V604409 - 1. assign V846378 = V906996 - 1. assign V571953 = V570576 + 1. assign V518014 = V570576 + 1. assign V023532 = V463690 - 1. assign V560388 = V456813 - 1. assign V570576 = V456813 - 1. assign V586686 = V536440. assign V235521 = V058000 + 1. assign V041296 = V837954 + 1. assign V074323 = V693963 + 1. assign V633947 = V074323. assign V108511 = V087539 + 1. assign V182502 = V570576. assign V978599 = V337603 - 1. assign V621843 = V619432 + 1. assign V906996 = V536440 - 1. assign V223282 = V337603. assign V829937 = V177006. assign V380171 = V879990 + 1. assign V061757 = V688615 - 1. assign V150269 = V581488 - 1. assign V688615 = V570576 + 1. assign V337603 = V570576 - 1. assign V280925 = V062408 + 1. assign V642204 = V906996 + 1. assign V081653 = V041296 + 1. assign V902341 = V702620 + 1. assign V305097 = V693963. assign V455665 = V074323 + 1. assign V523988 = V058000 + 1. assign V143018 = V380171 + 1. assign V212199 = V571953. assign V837954 = V536440 + 1. assign V693963 = V837954 - 1. assign V265641 = V058000. assign V274872 = V719740 - 1. assign V033885 = V643873 - 1. assign V931682 = V046784 - 1. assign V046784 = V610519 + 1. assign V463690 = V337603 + 1. assign V121695 = V402090. assign V719740 = V536440. assign V448113 = V463690 + 1. assign V599024 = V471946 - 1. assign V296344 = V671142 - 1. assign V029759 = V074323 + 1. assign V920683 = V284917 - 1. assign V536440 = V456813 - 1. assign V359954 = V688615 + 1. assign V671142 = 6. assign V717987 = V177006 + 1. assign V542707 = V033885 - 1. assign V610519 = V560388 + 1. assign V409277 = V081653. assign V879990 = V182502 + 1. assign V547690 = V906996 + 1. assign V597643 = V061757.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV671142 = 6;\n\nFrom these direct assignment(s), we have: \nV296344 = V671142 - 1 = 6 - 1 =5;\nNo other variables can be derived from V296344;\nNo other variables can be derived from V671142;\n\nNow we have done all the calculations. Derived variables are:\nV671142 = 6;\nV296344 = 5;\n\nNow we have finished this problem. ANSWER:\nV671142\n", "role": "assistant" } ]

[ "V830840" ]

[ { "content": "<context>\nassign V914100 = V311810 + 1. assign V869846 = V787150 - 1. assign V331279 = V914100. assign V034819 = V068040 - 1. assign V091308 = V184152 + 1. assign V148563 = V311810 + 1. assign V003659 = V577372 + 1. assign V623632 = V269175 + 1. assign V976709 = V577372 - 1. assign V898110 = V164418. assign V369245 = V246345. assign V450069 = V891121 - 1. assign V100891 = V530525 - 1. assign V963090 = V707556 - 1. assign V787150 = V068040. assign V577372 = V311810 - 1. assign V265279 = V623632 - 1. assign V830840 = V328889 - 1. assign V881397 = V898110 - 1. assign V181873 = V311810 + 1. assign V612211 = V089985. assign V707556 = V107918. assign V664341 = V976709 + 1. assign V051328 = V181956. assign V000973 = V608812 - 1. assign V246345 = V184152. assign V181956 = V311810 + 1. assign V445875 = V969020 - 1. assign V634676 = V383733 - 1. assign V459840 = V184152 + 1. assign V701832 = V869846 + 1. assign V101694 = V826946. assign V032721 = V801678 + 1. assign V801678 = V445408 - 1. assign V068040 = V311810. assign V262638 = V181956 + 1. assign V608812 = V898110 + 1. assign V980223 = V163215 - 1. assign V099382 = V089985 + 1. assign V259376 = V445875 - 1. assign V105876 = V383733. assign V782984 = V445408 - 1. assign V163215 = V068040. assign V849317 = V107918. assign V380076 = V886260 + 1. assign V541214 = V886260 - 1. assign V530525 = V003659. assign V004324 = V164418. assign V766001 = V577372 + 1. assign V880757 = V380076 + 1. assign V482560 = V886260. assign V541035 = V311810 + 1. assign V324209 = V336795. assign V398050 = V262638. assign V491488 = V262638. assign V164418 = V541035 - 1. assign V269175 = V445408. assign V891121 = V107918 + 1. assign V184152 = V099382 - 1. assign V896247 = V452371. assign V089985 = V311810 + 1. assign V969020 = V311810 - 1. assign V383733 = V051328 - 1. assign V107918 = V148563 - 1. assign V336795 = V262638. assign V502303 = V336795. assign V189081 = V577372 - 1. assign V854356 = V491488. assign V698844 = V099382. assign V578722 = V541035. assign V886260 = V189081 + 1. assign V215998 = V969020 - 1. assign V233991 = V541214 - 1. assign V441511 = V089985. assign V579590 = V099382. assign V328889 = 9. assign V651661 = V215998. assign V699106 = V482560 + 1. assign V346562 = V651661 - 1. assign V371117 = V459840 + 1. assign V826946 = V164418 + 1. assign V045138 = V004324. assign V255860 = V701832. assign V420188 = V787150. assign V445408 = V181956 + 1. assign V452371 = V311810 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V914100 = V311810 + 1. assign V869846 = V787150 - 1. assign V331279 = V914100. assign V034819 = V068040 - 1. assign V091308 = V184152 + 1. assign V148563 = V311810 + 1. assign V003659 = V577372 + 1. assign V623632 = V269175 + 1. assign V976709 = V577372 - 1. assign V898110 = V164418. assign V369245 = V246345. assign V450069 = V891121 - 1. assign V100891 = V530525 - 1. assign V963090 = V707556 - 1. assign V787150 = V068040. assign V577372 = V311810 - 1. assign V265279 = V623632 - 1. assign V830840 = V328889 - 1. assign V881397 = V898110 - 1. assign V181873 = V311810 + 1. assign V612211 = V089985. assign V707556 = V107918. assign V664341 = V976709 + 1. assign V051328 = V181956. assign V000973 = V608812 - 1. assign V246345 = V184152. assign V181956 = V311810 + 1. assign V445875 = V969020 - 1. assign V634676 = V383733 - 1. assign V459840 = V184152 + 1. assign V701832 = V869846 + 1. assign V101694 = V826946. assign V032721 = V801678 + 1. assign V801678 = V445408 - 1. assign V068040 = V311810. assign V262638 = V181956 + 1. assign V608812 = V898110 + 1. assign V980223 = V163215 - 1. assign V099382 = V089985 + 1. assign V259376 = V445875 - 1. assign V105876 = V383733. assign V782984 = V445408 - 1. assign V163215 = V068040. assign V849317 = V107918. assign V380076 = V886260 + 1. assign V541214 = V886260 - 1. assign V530525 = V003659. assign V004324 = V164418. assign V766001 = V577372 + 1. assign V880757 = V380076 + 1. assign V482560 = V886260. assign V541035 = V311810 + 1. assign V324209 = V336795. assign V398050 = V262638. assign V491488 = V262638. assign V164418 = V541035 - 1. assign V269175 = V445408. assign V891121 = V107918 + 1. assign V184152 = V099382 - 1. assign V896247 = V452371. assign V089985 = V311810 + 1. assign V969020 = V311810 - 1. assign V383733 = V051328 - 1. assign V107918 = V148563 - 1. assign V336795 = V262638. assign V502303 = V336795. assign V189081 = V577372 - 1. assign V854356 = V491488. assign V698844 = V099382. assign V578722 = V541035. assign V886260 = V189081 + 1. assign V215998 = V969020 - 1. assign V233991 = V541214 - 1. assign V441511 = V089985. assign V579590 = V099382. assign V328889 = 9. assign V651661 = V215998. assign V699106 = V482560 + 1. assign V346562 = V651661 - 1. assign V371117 = V459840 + 1. assign V826946 = V164418 + 1. assign V045138 = V004324. assign V255860 = V701832. assign V420188 = V787150. assign V445408 = V181956 + 1. assign V452371 = V311810 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV328889 = 9;\n\nFrom these direct assignment(s), we have: \nV830840 = V328889 - 1 = 9 - 1 =8;\nNo other variables can be derived from V830840;\nNo other variables can be derived from V328889;\n\nNow we have done all the calculations. Derived variables are:\nV328889 = 9;\nV830840 = 8;\n\nNow we have finished this problem. ANSWER:\nV830840\n", "role": "assistant" } ]

[ "V849975", "V823511" ]

[ { "content": "<context>\nassign V841630 = V125094 + 1. assign V376881 = V096646. assign V365778 = V538919. assign V538919 = V018692. assign V383970 = V062495 + 1. assign V380204 = V848535. assign V047519 = V128355 + 1. assign V696390 = V103891 - 1. assign V073494 = V538919 - 1. assign V548119 = V240275 - 1. assign V165004 = V446793. assign V362802 = V170807 + 1. assign V451403 = V125094 - 1. assign V982363 = V103891 + 1. assign V062495 = V056043 + 1. assign V551789 = V141593 - 1. assign V340296 = V141473 - 1. assign V535364 = V155638 - 1. assign V096646 = V483001 + 1. assign V546094 = V165004 - 1. assign V319368 = V446793 + 1. assign V426870 = V155638. assign V919924 = V848535. assign V722658 = V986607 + 1. assign V633633 = V223236. assign V877312 = V100159 - 1. assign V197820 = V483001. assign V633728 = V919924. assign V660196 = V451403 + 1. assign V929818 = V096646. assign V223236 = V103891 - 1. assign V042180 = V197820. assign V961751 = V633633 + 1. assign V122690 = V223236 - 1. assign V849975 = 0. assign V840055 = V175528 - 1. assign V100159 = V018692 - 1. assign V155638 = V018692 + 1. assign V410546 = V483001. assign V236824 = V504689 - 1. assign V330706 = V446793 - 1. assign V240275 = V566195. assign V646598 = V365778 + 1. assign V650558 = V056043. assign V848535 = V018692 + 1. assign V993722 = V446793 + 1. assign V018692 = V128355 + 1. assign V572928 = V362802. assign V346966 = V538919 + 1. assign V629753 = V217702. assign V986607 = V165004 + 1. assign V438052 = V696390 + 1. assign V823511 = V849975. assign V446793 = V125094 - 1. assign V288528 = V438052 - 1. assign V128355 = V103891 + 1. assign V178758 = V141473 - 1. assign V040980 = V696390 - 1. assign V566913 = V024564 + 1. assign V245316 = V024564 + 1. assign V957789 = V879364 + 1. assign V125094 = V919924. assign V217702 = V446793. assign V237059 = V042180 + 1. assign V175528 = V644715 - 1. assign V572633 = V841630. assign V644715 = V365778 - 1. assign V919465 = V141473 - 1. assign V879364 = V346966 + 1. assign V937742 = V376881 + 1. assign V117431 = V644715 + 1. assign V483001 = V538919 - 1. assign V027322 = V646598 - 1. assign V504689 = V096646 - 1. assign V141473 = V841630. assign V836035 = V535364 + 1. assign V056043 = V100159. assign V981553 = V483001. assign V170807 = V125094. assign V371095 = V841630 - 1. assign V566195 = V451403 - 1. assign V914991 = V096646 - 1. assign V024564 = V446793 + 1. assign V509131 = V346966 - 1. assign V245771 = V223236 - 1. assign V141593 = V100159 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V841630 = V125094 + 1. assign V376881 = V096646. assign V365778 = V538919. assign V538919 = V018692. assign V383970 = V062495 + 1. assign V380204 = V848535. assign V047519 = V128355 + 1. assign V696390 = V103891 - 1. assign V073494 = V538919 - 1. assign V548119 = V240275 - 1. assign V165004 = V446793. assign V362802 = V170807 + 1. assign V451403 = V125094 - 1. assign V982363 = V103891 + 1. assign V062495 = V056043 + 1. assign V551789 = V141593 - 1. assign V340296 = V141473 - 1. assign V535364 = V155638 - 1. assign V096646 = V483001 + 1. assign V546094 = V165004 - 1. assign V319368 = V446793 + 1. assign V426870 = V155638. assign V919924 = V848535. assign V722658 = V986607 + 1. assign V633633 = V223236. assign V877312 = V100159 - 1. assign V197820 = V483001. assign V633728 = V919924. assign V660196 = V451403 + 1. assign V929818 = V096646. assign V223236 = V103891 - 1. assign V042180 = V197820. assign V961751 = V633633 + 1. assign V122690 = V223236 - 1. assign V849975 = 0. assign V840055 = V175528 - 1. assign V100159 = V018692 - 1. assign V155638 = V018692 + 1. assign V410546 = V483001. assign V236824 = V504689 - 1. assign V330706 = V446793 - 1. assign V240275 = V566195. assign V646598 = V365778 + 1. assign V650558 = V056043. assign V848535 = V018692 + 1. assign V993722 = V446793 + 1. assign V018692 = V128355 + 1. assign V572928 = V362802. assign V346966 = V538919 + 1. assign V629753 = V217702. assign V986607 = V165004 + 1. assign V438052 = V696390 + 1. assign V823511 = V849975. assign V446793 = V125094 - 1. assign V288528 = V438052 - 1. assign V128355 = V103891 + 1. assign V178758 = V141473 - 1. assign V040980 = V696390 - 1. assign V566913 = V024564 + 1. assign V245316 = V024564 + 1. assign V957789 = V879364 + 1. assign V125094 = V919924. assign V217702 = V446793. assign V237059 = V042180 + 1. assign V175528 = V644715 - 1. assign V572633 = V841630. assign V644715 = V365778 - 1. assign V919465 = V141473 - 1. assign V879364 = V346966 + 1. assign V937742 = V376881 + 1. assign V117431 = V644715 + 1. assign V483001 = V538919 - 1. assign V027322 = V646598 - 1. assign V504689 = V096646 - 1. assign V141473 = V841630. assign V836035 = V535364 + 1. assign V056043 = V100159. assign V981553 = V483001. assign V170807 = V125094. assign V371095 = V841630 - 1. assign V566195 = V451403 - 1. assign V914991 = V096646 - 1. assign V024564 = V446793 + 1. assign V509131 = V346966 - 1. assign V245771 = V223236 - 1. assign V141593 = V100159 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV849975 = 0;\n\nFrom these direct assignment(s), we have: \nV823511 = V849975 = 0;\nNo other variables can be derived from V823511;\nNo other variables can be derived from V849975;\n\nNow we have done all the calculations. Derived variables are:\nV849975 = 0;\nV823511 = 0;\n\nNow we have finished this problem. ANSWER:\nV849975, V823511\n", "role": "assistant" } ]

[ "V882773" ]

[ { "content": "<context>\nassign V689684 = V245637. assign V303377 = V438103. assign V709948 = V245637 - 1. assign V957335 = V777237 + 1. assign V738557 = V629720 + 1. assign V231721 = V197361 + 1. assign V498452 = V023203. assign V404999 = V689684. assign V081259 = V178524 - 1. assign V650279 = V519612. assign V535114 = V918938 + 1. assign V165226 = V197361 - 1. assign V481353 = V197361. assign V883143 = V647372 + 1. assign V647372 = V957335 + 1. assign V359496 = V064796 + 1. assign V786376 = V775815. assign V387210 = V845460. assign V902997 = V195636 + 1. assign V979728 = V387398. assign V407141 = V437589 - 1. assign V797863 = V962861 - 1. assign V195636 = V566619. assign V202283 = V535114. assign V104979 = V918938 - 1. assign V438103 = V000103 + 1. assign V629720 = V004204 - 1. assign V777237 = V629720. assign V882773 = 1. assign V400968 = V387398 - 1. assign V424512 = V650279 + 1. assign V023203 = V245637 - 1. assign V908874 = V054538. assign V774841 = V104979 + 1. assign V204767 = V903153. assign V774717 = V903153 + 1. assign V888095 = V918938 + 1. assign V015239 = V566619 - 1. assign V878605 = V178524 - 1. assign V269640 = V072787 - 1. assign V777831 = V202283 - 1. assign V054538 = V178524 - 1. assign V902617 = V004204 + 1. assign V802910 = V015239 + 1. assign V320259 = V015239 - 1. assign V502247 = V566619 - 1. assign V142260 = V874078 + 1. assign V601212 = V481353 - 1. assign V676394 = V592734. assign V983560 = V777237. assign V166095 = V058461 + 1. assign V137628 = V874078. assign V253119 = V104979 - 1. assign V182841 = V231721. assign V918938 = V032598. assign V962861 = V629720 - 1. assign V197361 = V004204. assign V903153 = V165226. assign V058461 = V165226 - 1. assign V246255 = V438103. assign V485297 = V202283 - 1. assign V248967 = V142260 - 1. assign V721363 = V786376 - 1. assign V895515 = V775815 - 1. assign V874078 = V437589. assign V519612 = V081259. assign V245637 = V387398. assign V290299 = V882773 + 1. assign V684970 = V481353 - 1. assign V064796 = V775815 - 1. assign V818662 = V058461. assign V539985 = V400968 + 1. assign V387398 = V004204 + 1. assign V592734 = V775815 - 1. assign V679693 = V918938 - 1. assign V032598 = V845460 - 1. assign V991505 = V629720 + 1. assign V566619 = V004204 - 1. assign V503362 = V015239 - 1. assign V845460 = V957335 - 1. assign V437589 = V775815 + 1. assign V072787 = V777237 + 1. assign V941377 = V407141 + 1. assign V178524 = V629720 - 1. assign V000103 = V845460. assign V775815 = V004204.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V689684 = V245637. assign V303377 = V438103. assign V709948 = V245637 - 1. assign V957335 = V777237 + 1. assign V738557 = V629720 + 1. assign V231721 = V197361 + 1. assign V498452 = V023203. assign V404999 = V689684. assign V081259 = V178524 - 1. assign V650279 = V519612. assign V535114 = V918938 + 1. assign V165226 = V197361 - 1. assign V481353 = V197361. assign V883143 = V647372 + 1. assign V647372 = V957335 + 1. assign V359496 = V064796 + 1. assign V786376 = V775815. assign V387210 = V845460. assign V902997 = V195636 + 1. assign V979728 = V387398. assign V407141 = V437589 - 1. assign V797863 = V962861 - 1. assign V195636 = V566619. assign V202283 = V535114. assign V104979 = V918938 - 1. assign V438103 = V000103 + 1. assign V629720 = V004204 - 1. assign V777237 = V629720. assign V882773 = 1. assign V400968 = V387398 - 1. assign V424512 = V650279 + 1. assign V023203 = V245637 - 1. assign V908874 = V054538. assign V774841 = V104979 + 1. assign V204767 = V903153. assign V774717 = V903153 + 1. assign V888095 = V918938 + 1. assign V015239 = V566619 - 1. assign V878605 = V178524 - 1. assign V269640 = V072787 - 1. assign V777831 = V202283 - 1. assign V054538 = V178524 - 1. assign V902617 = V004204 + 1. assign V802910 = V015239 + 1. assign V320259 = V015239 - 1. assign V502247 = V566619 - 1. assign V142260 = V874078 + 1. assign V601212 = V481353 - 1. assign V676394 = V592734. assign V983560 = V777237. assign V166095 = V058461 + 1. assign V137628 = V874078. assign V253119 = V104979 - 1. assign V182841 = V231721. assign V918938 = V032598. assign V962861 = V629720 - 1. assign V197361 = V004204. assign V903153 = V165226. assign V058461 = V165226 - 1. assign V246255 = V438103. assign V485297 = V202283 - 1. assign V248967 = V142260 - 1. assign V721363 = V786376 - 1. assign V895515 = V775815 - 1. assign V874078 = V437589. assign V519612 = V081259. assign V245637 = V387398. assign V290299 = V882773 + 1. assign V684970 = V481353 - 1. assign V064796 = V775815 - 1. assign V818662 = V058461. assign V539985 = V400968 + 1. assign V387398 = V004204 + 1. assign V592734 = V775815 - 1. assign V679693 = V918938 - 1. assign V032598 = V845460 - 1. assign V991505 = V629720 + 1. assign V566619 = V004204 - 1. assign V503362 = V015239 - 1. assign V845460 = V957335 - 1. assign V437589 = V775815 + 1. assign V072787 = V777237 + 1. assign V941377 = V407141 + 1. assign V178524 = V629720 - 1. assign V000103 = V845460. assign V775815 = V004204.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV882773 = 1;\n\nFrom these direct assignment(s), we have: \nV290299 = V882773 + 1 = 1 + 1 =2;\nNo other variables can be derived from V290299;\nNo other variables can be derived from V882773;\n\nNow we have done all the calculations. Derived variables are:\nV882773 = 1;\nV290299 = 2;\n\nNow we have finished this problem. ANSWER:\nV882773\n", "role": "assistant" } ]

[ "V678108", "V933680" ]

[ { "content": "<context>\nassign V286167 = V737868. assign V842298 = V754032. assign V059666 = V229423 - 1. assign V512805 = V461255 + 1. assign V663657 = V020283 + 1. assign V933680 = V678108. assign V020283 = V033257 + 1. assign V229423 = V922211. assign V912592 = V324438 - 1. assign V089834 = V372081 + 1. assign V573486 = V756968. assign V291707 = V922211 - 1. assign V320471 = V573486 + 1. assign V350943 = V461255. assign V002845 = V616209 - 1. assign V599687 = V505000. assign V678108 = 3. assign V820846 = V825180. assign V548009 = V350943 - 1. assign V237789 = V693955 - 1. assign V449676 = V022256 + 1. assign V548661 = V554220 + 1. assign V673506 = V461255 - 1. assign V324438 = V022256. assign V022256 = V461255. assign V427459 = V919371. assign V505000 = V756968 - 1. assign V768651 = V022256. assign V951072 = V154768 - 1. assign V424879 = V325938 - 1. assign V642934 = V229423 + 1. assign V848956 = V020283 - 1. assign V190203 = V951072 - 1. assign V050508 = V848956. assign V919371 = V461255 - 1. assign V476997 = V427459 + 1. assign V670609 = V461255 - 1. assign V923291 = V449676. assign V309429 = V069732 + 1. assign V493084 = V033257 + 1. assign V782838 = V848956. assign V773730 = V355960 - 1. assign V069732 = V848956. assign V880305 = V642934. assign V646328 = V069732 - 1. assign V604458 = V632162 - 1. assign V781987 = V069732 - 1. assign V756968 = V922211. assign V372081 = V723715. assign V116968 = V060093. assign V082794 = V737868. assign V727430 = V673167. assign V607338 = V449676 - 1. assign V354749 = V573486 + 1. assign V404614 = V282683 + 1. assign V445806 = V756968 + 1. assign V554220 = V320471 + 1. assign V356723 = V237789 - 1. assign V754032 = V020283 + 1. assign V552281 = V059666 - 1. assign V632162 = V229423 + 1. assign V616209 = V033257. assign V673167 = V033257. assign V869456 = V320471 - 1. assign V593824 = V082794. assign V693955 = V179056 - 1. assign V033257 = V022256 + 1. assign V797073 = V319149 + 1. assign V179056 = V350943 + 1. assign V060093 = V642934. assign V461255 = V756968. assign V888406 = V449676. assign V825180 = V356723 - 1. assign V764074 = V880305 + 1. assign V319149 = V320471. assign V600365 = V179056 - 1. assign V288655 = V616209 + 1. assign V325938 = V756968 + 1. assign V723647 = V319149 - 1. assign V300815 = V020283 + 1. assign V737868 = V022256 - 1. assign V154768 = V848956. assign V282683 = V919371 + 1. assign V723715 = V848956 + 1. assign V552396 = V919371 + 1. assign V355960 = V059666 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V286167 = V737868. assign V842298 = V754032. assign V059666 = V229423 - 1. assign V512805 = V461255 + 1. assign V663657 = V020283 + 1. assign V933680 = V678108. assign V020283 = V033257 + 1. assign V229423 = V922211. assign V912592 = V324438 - 1. assign V089834 = V372081 + 1. assign V573486 = V756968. assign V291707 = V922211 - 1. assign V320471 = V573486 + 1. assign V350943 = V461255. assign V002845 = V616209 - 1. assign V599687 = V505000. assign V678108 = 3. assign V820846 = V825180. assign V548009 = V350943 - 1. assign V237789 = V693955 - 1. assign V449676 = V022256 + 1. assign V548661 = V554220 + 1. assign V673506 = V461255 - 1. assign V324438 = V022256. assign V022256 = V461255. assign V427459 = V919371. assign V505000 = V756968 - 1. assign V768651 = V022256. assign V951072 = V154768 - 1. assign V424879 = V325938 - 1. assign V642934 = V229423 + 1. assign V848956 = V020283 - 1. assign V190203 = V951072 - 1. assign V050508 = V848956. assign V919371 = V461255 - 1. assign V476997 = V427459 + 1. assign V670609 = V461255 - 1. assign V923291 = V449676. assign V309429 = V069732 + 1. assign V493084 = V033257 + 1. assign V782838 = V848956. assign V773730 = V355960 - 1. assign V069732 = V848956. assign V880305 = V642934. assign V646328 = V069732 - 1. assign V604458 = V632162 - 1. assign V781987 = V069732 - 1. assign V756968 = V922211. assign V372081 = V723715. assign V116968 = V060093. assign V082794 = V737868. assign V727430 = V673167. assign V607338 = V449676 - 1. assign V354749 = V573486 + 1. assign V404614 = V282683 + 1. assign V445806 = V756968 + 1. assign V554220 = V320471 + 1. assign V356723 = V237789 - 1. assign V754032 = V020283 + 1. assign V552281 = V059666 - 1. assign V632162 = V229423 + 1. assign V616209 = V033257. assign V673167 = V033257. assign V869456 = V320471 - 1. assign V593824 = V082794. assign V693955 = V179056 - 1. assign V033257 = V022256 + 1. assign V797073 = V319149 + 1. assign V179056 = V350943 + 1. assign V060093 = V642934. assign V461255 = V756968. assign V888406 = V449676. assign V825180 = V356723 - 1. assign V764074 = V880305 + 1. assign V319149 = V320471. assign V600365 = V179056 - 1. assign V288655 = V616209 + 1. assign V325938 = V756968 + 1. assign V723647 = V319149 - 1. assign V300815 = V020283 + 1. assign V737868 = V022256 - 1. assign V154768 = V848956. assign V282683 = V919371 + 1. assign V723715 = V848956 + 1. assign V552396 = V919371 + 1. assign V355960 = V059666 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV678108 = 3;\n\nFrom these direct assignment(s), we have: \nV933680 = V678108 = 3;\nNo other variables can be derived from V933680;\nNo other variables can be derived from V678108;\n\nNow we have done all the calculations. Derived variables are:\nV678108 = 3;\nV933680 = 3;\n\nNow we have finished this problem. ANSWER:\nV678108, V933680\n", "role": "assistant" } ]

[ "V665707", "V546161" ]

[ { "content": "<context>\nassign V553904 = V704343 + 1. assign V013331 = V464702 + 1. assign V939883 = V519025 - 1. assign V008013 = V830288 - 1. assign V272375 = V191600. assign V057016 = V740540 + 1. assign V959205 = V278179. assign V446613 = V460836 - 1. assign V354475 = V464702. assign V143955 = V959205 - 1. assign V460836 = V959205. assign V548432 = V464702 - 1. assign V538474 = V008013 + 1. assign V422298 = V573760. assign V543093 = V364755 - 1. assign V904666 = V977012 - 1. assign V089938 = V959205 - 1. assign V208184 = V977012. assign V388065 = V740540 - 1. assign V673698 = V904666 + 1. assign V277291 = V354475 - 1. assign V238546 = V901141 - 1. assign V901141 = V544912. assign V399180 = V704343. assign V596529 = V176112 - 1. assign V383407 = V191600 - 1. assign V464702 = V005276 + 1. assign V179561 = V904666. assign V337870 = V545563 + 1. assign V888582 = V700760 - 1. assign V204963 = V895493 - 1. assign V542746 = V740540 + 1. assign V746470 = V977012. assign V302603 = V278179 + 1. assign V740540 = V573760 + 1. assign V921353 = V208184. assign V665707 = 4. assign V897670 = V057016 + 1. assign V211089 = V302603 + 1. assign V274545 = V477757. assign V724990 = V005276. assign V509439 = V179561 + 1. assign V545563 = V542746. assign V818338 = V868303. assign V546161 = V665707. assign V425337 = V111148. assign V191600 = V904666. assign V006568 = V959205. assign V427731 = V534062 + 1. assign V218207 = V519025. assign V111148 = V921353 + 1. assign V988662 = V700760. assign V298865 = V543093. assign V176112 = V573760 + 1. assign V385860 = V143955 + 1. assign V597790 = V543093 + 1. assign V229678 = V573760 + 1. assign V195182 = V272375 + 1. assign V983875 = V545563 - 1. assign V573760 = V888433 - 1. assign V895493 = V868303 - 1. assign V663417 = V477757 - 1. assign V888433 = V830288. assign V565260 = V939883. assign V605591 = V049994. assign V858865 = V543093 + 1. assign V544912 = V464702 + 1. assign V830288 = V977012. assign V175050 = V298865 + 1. assign V519025 = V830288. assign V868303 = V364755 - 1. assign V278179 = V746470 - 1. assign V751644 = V006568. assign V477757 = V460836. assign V704343 = V977012. assign V364755 = V977012 + 1. assign V552659 = V977012 + 1. assign V049994 = V176112 - 1. assign V005276 = V977012 - 1. assign V286845 = V464702 + 1. assign V197050 = V302603 - 1. assign V667368 = V888582 + 1. assign V534062 = V464702. assign V001655 = V548432. assign V779133 = V211089 - 1. assign V700760 = V553904 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V553904 = V704343 + 1. assign V013331 = V464702 + 1. assign V939883 = V519025 - 1. assign V008013 = V830288 - 1. assign V272375 = V191600. assign V057016 = V740540 + 1. assign V959205 = V278179. assign V446613 = V460836 - 1. assign V354475 = V464702. assign V143955 = V959205 - 1. assign V460836 = V959205. assign V548432 = V464702 - 1. assign V538474 = V008013 + 1. assign V422298 = V573760. assign V543093 = V364755 - 1. assign V904666 = V977012 - 1. assign V089938 = V959205 - 1. assign V208184 = V977012. assign V388065 = V740540 - 1. assign V673698 = V904666 + 1. assign V277291 = V354475 - 1. assign V238546 = V901141 - 1. assign V901141 = V544912. assign V399180 = V704343. assign V596529 = V176112 - 1. assign V383407 = V191600 - 1. assign V464702 = V005276 + 1. assign V179561 = V904666. assign V337870 = V545563 + 1. assign V888582 = V700760 - 1. assign V204963 = V895493 - 1. assign V542746 = V740540 + 1. assign V746470 = V977012. assign V302603 = V278179 + 1. assign V740540 = V573760 + 1. assign V921353 = V208184. assign V665707 = 4. assign V897670 = V057016 + 1. assign V211089 = V302603 + 1. assign V274545 = V477757. assign V724990 = V005276. assign V509439 = V179561 + 1. assign V545563 = V542746. assign V818338 = V868303. assign V546161 = V665707. assign V425337 = V111148. assign V191600 = V904666. assign V006568 = V959205. assign V427731 = V534062 + 1. assign V218207 = V519025. assign V111148 = V921353 + 1. assign V988662 = V700760. assign V298865 = V543093. assign V176112 = V573760 + 1. assign V385860 = V143955 + 1. assign V597790 = V543093 + 1. assign V229678 = V573760 + 1. assign V195182 = V272375 + 1. assign V983875 = V545563 - 1. assign V573760 = V888433 - 1. assign V895493 = V868303 - 1. assign V663417 = V477757 - 1. assign V888433 = V830288. assign V565260 = V939883. assign V605591 = V049994. assign V858865 = V543093 + 1. assign V544912 = V464702 + 1. assign V830288 = V977012. assign V175050 = V298865 + 1. assign V519025 = V830288. assign V868303 = V364755 - 1. assign V278179 = V746470 - 1. assign V751644 = V006568. assign V477757 = V460836. assign V704343 = V977012. assign V364755 = V977012 + 1. assign V552659 = V977012 + 1. assign V049994 = V176112 - 1. assign V005276 = V977012 - 1. assign V286845 = V464702 + 1. assign V197050 = V302603 - 1. assign V667368 = V888582 + 1. assign V534062 = V464702. assign V001655 = V548432. assign V779133 = V211089 - 1. assign V700760 = V553904 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV665707 = 4;\n\nFrom these direct assignment(s), we have: \nV546161 = V665707 = 4;\nNo other variables can be derived from V546161;\nNo other variables can be derived from V665707;\n\nNow we have done all the calculations. Derived variables are:\nV665707 = 4;\nV546161 = 4;\n\nNow we have finished this problem. ANSWER:\nV665707, V546161\n", "role": "assistant" } ]

[ "V535223" ]

[ { "content": "<context>\nassign V535223 = 1. assign V554515 = V458402 + 1. assign V370389 = V948477. assign V395939 = V027849 - 1. assign V989441 = V458402 - 1. assign V812559 = V295365 + 1. assign V836744 = V878262. assign V688916 = V195391 + 1. assign V155485 = V120314 + 1. assign V717560 = V048768. assign V661148 = V064569. assign V039352 = V825786 - 1. assign V948477 = V099250 - 1. assign V969377 = V539686. assign V331932 = V812559. assign V776682 = V606515 - 1. assign V179028 = V766369 - 1. assign V989561 = V296215. assign V565000 = V926417 - 1. assign V333499 = V585501 - 1. assign V030373 = V685070 + 1. assign V806980 = V474104. assign V474104 = V553200 - 1. assign V766369 = V989441 + 1. assign V830475 = V920601 - 1. assign V845783 = V135671 + 1. assign V027849 = V553200. assign V539686 = V722991. assign V878262 = V286598 + 1. assign V295365 = V438109 - 1. assign V846390 = V891078. assign V328242 = V474104. assign V926315 = V798396 + 1. assign V909018 = V989441 - 1. assign V059705 = V717560. assign V296215 = V286598. assign V047181 = V717560. assign V048768 = V553200. assign V438461 = V830475 + 1. assign V953057 = V569224 + 1. assign V404840 = V498764. assign V569224 = V989441 + 1. assign V606021 = V458402 - 1. assign V677490 = V461794. assign V135671 = V458402. assign V105986 = V286598. assign V920128 = V458402. assign V553200 = V282090 - 1. assign V336043 = V535223 - 1. assign V064569 = V039352 + 1. assign V149073 = V722991 - 1. assign V883149 = V461794 + 1. assign V885768 = V693533. assign V938796 = V003970 + 1. assign V498764 = V195391. assign V282090 = V458402 + 1. assign V195391 = V458402 + 1. assign V812714 = V878262 + 1. assign V099250 = V606021 + 1. assign V891078 = V030373. assign V972378 = V027849 - 1. assign V920601 = V565000 - 1. assign V798396 = V606021 + 1. assign V585501 = V179028 + 1. assign V476316 = V461794. assign V141320 = V438109 + 1. assign V120314 = V878262. assign V755535 = V282090 - 1. assign V510933 = V606021 - 1. assign V330193 = V553200 - 1. assign V693533 = V282090. assign V461794 = V685070 - 1. assign V003970 = V048768. assign V478533 = V099250 + 1. assign V394873 = V994149 + 1. assign V438109 = V330193 - 1. assign V926417 = V722991 + 1. assign V722991 = V296215 + 1. assign V286598 = V989441 + 1. assign V825786 = V606515 + 1. assign V685070 = V553200 - 1. assign V181272 = V543777 - 1. assign V483096 = V766369 + 1. assign V994149 = V989441 - 1. assign V543777 = V989441 + 1. assign V606515 = V766369.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V535223 = 1. assign V554515 = V458402 + 1. assign V370389 = V948477. assign V395939 = V027849 - 1. assign V989441 = V458402 - 1. assign V812559 = V295365 + 1. assign V836744 = V878262. assign V688916 = V195391 + 1. assign V155485 = V120314 + 1. assign V717560 = V048768. assign V661148 = V064569. assign V039352 = V825786 - 1. assign V948477 = V099250 - 1. assign V969377 = V539686. assign V331932 = V812559. assign V776682 = V606515 - 1. assign V179028 = V766369 - 1. assign V989561 = V296215. assign V565000 = V926417 - 1. assign V333499 = V585501 - 1. assign V030373 = V685070 + 1. assign V806980 = V474104. assign V474104 = V553200 - 1. assign V766369 = V989441 + 1. assign V830475 = V920601 - 1. assign V845783 = V135671 + 1. assign V027849 = V553200. assign V539686 = V722991. assign V878262 = V286598 + 1. assign V295365 = V438109 - 1. assign V846390 = V891078. assign V328242 = V474104. assign V926315 = V798396 + 1. assign V909018 = V989441 - 1. assign V059705 = V717560. assign V296215 = V286598. assign V047181 = V717560. assign V048768 = V553200. assign V438461 = V830475 + 1. assign V953057 = V569224 + 1. assign V404840 = V498764. assign V569224 = V989441 + 1. assign V606021 = V458402 - 1. assign V677490 = V461794. assign V135671 = V458402. assign V105986 = V286598. assign V920128 = V458402. assign V553200 = V282090 - 1. assign V336043 = V535223 - 1. assign V064569 = V039352 + 1. assign V149073 = V722991 - 1. assign V883149 = V461794 + 1. assign V885768 = V693533. assign V938796 = V003970 + 1. assign V498764 = V195391. assign V282090 = V458402 + 1. assign V195391 = V458402 + 1. assign V812714 = V878262 + 1. assign V099250 = V606021 + 1. assign V891078 = V030373. assign V972378 = V027849 - 1. assign V920601 = V565000 - 1. assign V798396 = V606021 + 1. assign V585501 = V179028 + 1. assign V476316 = V461794. assign V141320 = V438109 + 1. assign V120314 = V878262. assign V755535 = V282090 - 1. assign V510933 = V606021 - 1. assign V330193 = V553200 - 1. assign V693533 = V282090. assign V461794 = V685070 - 1. assign V003970 = V048768. assign V478533 = V099250 + 1. assign V394873 = V994149 + 1. assign V438109 = V330193 - 1. assign V926417 = V722991 + 1. assign V722991 = V296215 + 1. assign V286598 = V989441 + 1. assign V825786 = V606515 + 1. assign V685070 = V553200 - 1. assign V181272 = V543777 - 1. assign V483096 = V766369 + 1. assign V994149 = V989441 - 1. assign V543777 = V989441 + 1. assign V606515 = V766369.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV535223 = 1;\n\nFrom these direct assignment(s), we have: \nV336043 = V535223 - 1 = 1 - 1 =0;\nNo other variables can be derived from V336043;\nNo other variables can be derived from V535223;\n\nNow we have done all the calculations. Derived variables are:\nV535223 = 1;\nV336043 = 0;\n\nNow we have finished this problem. ANSWER:\nV535223\n", "role": "assistant" } ]

[ "V183743", "V570891" ]

[ { "content": "<context>\nassign V502675 = V150854 + 1. assign V748047 = V935980 + 1. assign V261503 = V986886 + 1. assign V137190 = V164332. assign V656128 = V150854 - 1. assign V048678 = V320963 + 1. assign V102825 = V660280. assign V923195 = V660280 + 1. assign V164332 = V351317 + 1. assign V518526 = V694265 + 1. assign V340014 = V054552 + 1. assign V320963 = V054552 + 1. assign V694265 = V889480. assign V670318 = V657279. assign V034045 = V102825. assign V316160 = V102825 + 1. assign V986886 = V313853 + 1. assign V016739 = V022423 - 1. assign V131669 = V608918 + 1. assign V202793 = V313853 + 1. assign V202695 = V959634 + 1. assign V053322 = V762798 + 1. assign V959634 = V608918. assign V259770 = V150854 - 1. assign V949094 = V745708 - 1. assign V003981 = V599926 + 1. assign V818078 = V646569 + 1. assign V643242 = V745708. assign V111086 = V501992. assign V746724 = V646569. assign V570891 = V183743. assign V054552 = V024810. assign V501992 = V608918 + 1. assign V646569 = V660280 - 1. assign V114750 = V320963 - 1. assign V710355 = V719736 + 1. assign V347461 = V608918 + 1. assign V513065 = V660280 - 1. assign V313287 = V762798 + 1. assign V424289 = V762798. assign V351317 = V024810. assign V968837 = V811567 - 1. assign V608918 = V350128. assign V385587 = V054552. assign V889362 = V646569 - 1. assign V599926 = V259770 - 1. assign V203383 = V889480 + 1. assign V568150 = V889480 + 1. assign V183743 = 8. assign V660280 = V889480 - 1. assign V051429 = V568150 - 1. assign V657279 = V394336 - 1. assign V444045 = V316160 - 1. assign V649877 = V202793 + 1. assign V869329 = V072845 + 1. assign V912201 = V656128. assign V745708 = V131669. assign V719736 = V096962 - 1. assign V416449 = V923195 + 1. assign V449531 = V072845. assign V096962 = V646569 + 1. assign V816800 = V790588 + 1. assign V350128 = V657279 - 1. assign V599760 = V340014 - 1. assign V764527 = V513065. assign V150854 = V657279 - 1. assign V024810 = V150854 - 1. assign V072845 = V316160 - 1. assign V762798 = V054552 - 1. assign V531186 = V313287. assign V811567 = V608918 + 1. assign V935980 = V259770. assign V379900 = V649877 - 1. assign V819658 = V889480 + 1. assign V313853 = V657279. assign V022423 = V340014 - 1. assign V790588 = V313853 - 1. assign V807674 = V968837 - 1. assign V824344 = V347461 - 1. assign V889480 = V054552 - 1. assign V329573 = V394336. assign V300772 = V968837. assign V866776 = V259770 - 1. assign V301086 = V599760 - 1. assign V339326 = V912201 + 1. assign V892850 = V300772.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V502675 = V150854 + 1. assign V748047 = V935980 + 1. assign V261503 = V986886 + 1. assign V137190 = V164332. assign V656128 = V150854 - 1. assign V048678 = V320963 + 1. assign V102825 = V660280. assign V923195 = V660280 + 1. assign V164332 = V351317 + 1. assign V518526 = V694265 + 1. assign V340014 = V054552 + 1. assign V320963 = V054552 + 1. assign V694265 = V889480. assign V670318 = V657279. assign V034045 = V102825. assign V316160 = V102825 + 1. assign V986886 = V313853 + 1. assign V016739 = V022423 - 1. assign V131669 = V608918 + 1. assign V202793 = V313853 + 1. assign V202695 = V959634 + 1. assign V053322 = V762798 + 1. assign V959634 = V608918. assign V259770 = V150854 - 1. assign V949094 = V745708 - 1. assign V003981 = V599926 + 1. assign V818078 = V646569 + 1. assign V643242 = V745708. assign V111086 = V501992. assign V746724 = V646569. assign V570891 = V183743. assign V054552 = V024810. assign V501992 = V608918 + 1. assign V646569 = V660280 - 1. assign V114750 = V320963 - 1. assign V710355 = V719736 + 1. assign V347461 = V608918 + 1. assign V513065 = V660280 - 1. assign V313287 = V762798 + 1. assign V424289 = V762798. assign V351317 = V024810. assign V968837 = V811567 - 1. assign V608918 = V350128. assign V385587 = V054552. assign V889362 = V646569 - 1. assign V599926 = V259770 - 1. assign V203383 = V889480 + 1. assign V568150 = V889480 + 1. assign V183743 = 8. assign V660280 = V889480 - 1. assign V051429 = V568150 - 1. assign V657279 = V394336 - 1. assign V444045 = V316160 - 1. assign V649877 = V202793 + 1. assign V869329 = V072845 + 1. assign V912201 = V656128. assign V745708 = V131669. assign V719736 = V096962 - 1. assign V416449 = V923195 + 1. assign V449531 = V072845. assign V096962 = V646569 + 1. assign V816800 = V790588 + 1. assign V350128 = V657279 - 1. assign V599760 = V340014 - 1. assign V764527 = V513065. assign V150854 = V657279 - 1. assign V024810 = V150854 - 1. assign V072845 = V316160 - 1. assign V762798 = V054552 - 1. assign V531186 = V313287. assign V811567 = V608918 + 1. assign V935980 = V259770. assign V379900 = V649877 - 1. assign V819658 = V889480 + 1. assign V313853 = V657279. assign V022423 = V340014 - 1. assign V790588 = V313853 - 1. assign V807674 = V968837 - 1. assign V824344 = V347461 - 1. assign V889480 = V054552 - 1. assign V329573 = V394336. assign V300772 = V968837. assign V866776 = V259770 - 1. assign V301086 = V599760 - 1. assign V339326 = V912201 + 1. assign V892850 = V300772.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV183743 = 8;\n\nFrom these direct assignment(s), we have: \nV570891 = V183743 = 8;\nNo other variables can be derived from V570891;\nNo other variables can be derived from V183743;\n\nNow we have done all the calculations. Derived variables are:\nV183743 = 8;\nV570891 = 8;\n\nNow we have finished this problem. ANSWER:\nV183743, V570891\n", "role": "assistant" } ]

[ "V623460", "V852189" ]

[ { "content": "<context>\nassign V906472 = V843790. assign V867788 = V233539 - 1. assign V801203 = V843790 - 1. assign V150796 = V487581 + 1. assign V314682 = V374901 - 1. assign V374901 = V905094. assign V192994 = V693321. assign V693385 = V448669. assign V678203 = V573735 + 1. assign V237681 = V693321 - 1. assign V835218 = V918263 - 1. assign V027790 = V796072. assign V103754 = V266705. assign V887231 = V391747. assign V074412 = V693385 - 1. assign V233539 = V309350. assign V898755 = V693321. assign V817834 = V028373 - 1. assign V269050 = V566829. assign V796072 = V078003. assign V212787 = V545155. assign V298682 = V309350. assign V918918 = V795229. assign V262814 = V898755. assign V693321 = V266705 + 1. assign V402614 = V244133 - 1. assign V452493 = V867788. assign V098570 = V074412 - 1. assign V706764 = V266705 + 1. assign V536296 = V192994. assign V244133 = V266705. assign V211670 = V237681. assign V623460 = 0. assign V097371 = V693321. assign V967815 = V097371 + 1. assign V207592 = V269050 + 1. assign V099048 = V624673 + 1. assign V545155 = V172333. assign V556564 = V506607. assign V417710 = V028373 - 1. assign V440099 = V028373. assign V487581 = V233539 - 1. assign V795229 = V693321. assign V140878 = V109766 + 1. assign V766794 = V487581 + 1. assign V563755 = V243522 - 1. assign V676018 = V898755. assign V905094 = V192994 - 1. assign V044955 = V566829 - 1. assign V109766 = V795229 - 1. assign V852189 = V623460. assign V854673 = V379922 - 1. assign V078003 = V464214. assign V008710 = V829935. assign V843790 = V237681 - 1. assign V918263 = V192994 - 1. assign V926882 = V402614 + 1. assign V309350 = V706764. assign V347077 = V905094 - 1. assign V072781 = V506607. assign V893115 = V078003. assign V102942 = V795229 + 1. assign V464214 = V556564. assign V506607 = V097371 + 1. assign V547714 = V887231. assign V930051 = V843790. assign V840356 = V244133 + 1. assign V039006 = V207592. assign V379922 = V693385 + 1. assign V962516 = V448669 - 1. assign V829935 = V298682. assign V573735 = V102942. assign V172333 = V244133 + 1. assign V624673 = V506607 + 1. assign V391747 = V566829 + 1. assign V814103 = V448669 + 1. assign V200860 = V898755. assign V028373 = V266705. assign V566829 = V706764 + 1. assign V243522 = V918263 + 1. assign V820348 = V374901 + 1. assign V448669 = V905094 - 1. assign V880249 = V905094 - 1. assign V874371 = V233539. assign V137877 = V693385. assign V725981 = V795229.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V906472 = V843790. assign V867788 = V233539 - 1. assign V801203 = V843790 - 1. assign V150796 = V487581 + 1. assign V314682 = V374901 - 1. assign V374901 = V905094. assign V192994 = V693321. assign V693385 = V448669. assign V678203 = V573735 + 1. assign V237681 = V693321 - 1. assign V835218 = V918263 - 1. assign V027790 = V796072. assign V103754 = V266705. assign V887231 = V391747. assign V074412 = V693385 - 1. assign V233539 = V309350. assign V898755 = V693321. assign V817834 = V028373 - 1. assign V269050 = V566829. assign V796072 = V078003. assign V212787 = V545155. assign V298682 = V309350. assign V918918 = V795229. assign V262814 = V898755. assign V693321 = V266705 + 1. assign V402614 = V244133 - 1. assign V452493 = V867788. assign V098570 = V074412 - 1. assign V706764 = V266705 + 1. assign V536296 = V192994. assign V244133 = V266705. assign V211670 = V237681. assign V623460 = 0. assign V097371 = V693321. assign V967815 = V097371 + 1. assign V207592 = V269050 + 1. assign V099048 = V624673 + 1. assign V545155 = V172333. assign V556564 = V506607. assign V417710 = V028373 - 1. assign V440099 = V028373. assign V487581 = V233539 - 1. assign V795229 = V693321. assign V140878 = V109766 + 1. assign V766794 = V487581 + 1. assign V563755 = V243522 - 1. assign V676018 = V898755. assign V905094 = V192994 - 1. assign V044955 = V566829 - 1. assign V109766 = V795229 - 1. assign V852189 = V623460. assign V854673 = V379922 - 1. assign V078003 = V464214. assign V008710 = V829935. assign V843790 = V237681 - 1. assign V918263 = V192994 - 1. assign V926882 = V402614 + 1. assign V309350 = V706764. assign V347077 = V905094 - 1. assign V072781 = V506607. assign V893115 = V078003. assign V102942 = V795229 + 1. assign V464214 = V556564. assign V506607 = V097371 + 1. assign V547714 = V887231. assign V930051 = V843790. assign V840356 = V244133 + 1. assign V039006 = V207592. assign V379922 = V693385 + 1. assign V962516 = V448669 - 1. assign V829935 = V298682. assign V573735 = V102942. assign V172333 = V244133 + 1. assign V624673 = V506607 + 1. assign V391747 = V566829 + 1. assign V814103 = V448669 + 1. assign V200860 = V898755. assign V028373 = V266705. assign V566829 = V706764 + 1. assign V243522 = V918263 + 1. assign V820348 = V374901 + 1. assign V448669 = V905094 - 1. assign V880249 = V905094 - 1. assign V874371 = V233539. assign V137877 = V693385. assign V725981 = V795229.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV623460 = 0;\n\nFrom these direct assignment(s), we have: \nV852189 = V623460 = 0;\nNo other variables can be derived from V852189;\nNo other variables can be derived from V623460;\n\nNow we have done all the calculations. Derived variables are:\nV623460 = 0;\nV852189 = 0;\n\nNow we have finished this problem. ANSWER:\nV623460, V852189\n", "role": "assistant" } ]

[ "V325414", "V855346" ]

[ { "content": "<context>\nassign V275377 = V295680. assign V932069 = V506876. assign V582787 = V423558 + 1. assign V731204 = V115052 + 1. assign V751475 = V539628. assign V841903 = V650494 + 1. assign V075938 = V826951. assign V555274 = V470977 + 1. assign V364704 = V115052 + 1. assign V905252 = V528143 + 1. assign V348147 = V423558. assign V211502 = V353071 + 1. assign V041288 = V291172 - 1. assign V765025 = V948385. assign V353071 = V128761. assign V421042 = V219385 - 1. assign V510246 = V388916. assign V910528 = V719542. assign V250211 = V353071 + 1. assign V034846 = V528143 - 1. assign V062938 = V410744 - 1. assign V334251 = V629276. assign V987115 = V731204. assign V507551 = V275377 - 1. assign V574394 = V295680. assign V340640 = V062938. assign V697469 = V211502 + 1. assign V569110 = V348147. assign V295680 = V629276. assign V793572 = V295680 - 1. assign V755034 = V273529 + 1. assign V223813 = V506876 - 1. assign V582071 = V115052 + 1. assign V687489 = V136534 - 1. assign V156572 = V574394. assign V826951 = V483796 + 1. assign V291172 = V423558. assign V103202 = V177292. assign V748437 = V719542 - 1. assign V423558 = V719542 - 1. assign V719542 = V115052 - 1. assign V114286 = V276927. assign V075046 = V128761 + 1. assign V528143 = V353071. assign V855346 = V325414. assign V470977 = V731204 + 1. assign V967440 = V905252 - 1. assign V148709 = V211502. assign V388916 = V528143 - 1. assign V219385 = V295680. assign V539628 = V414297. assign V719066 = V483796 - 1. assign V325414 = 4. assign V024364 = V388916. assign V177292 = V389902 - 1. assign V483796 = V731204 - 1. assign V136534 = V414297 + 1. assign V948385 = V136534 + 1. assign V128761 = V115052. assign V389902 = V115052 + 1. assign V138525 = V251545. assign V251545 = V923146 - 1. assign V260311 = V507551 + 1. assign V410744 = V470977 + 1. assign V629276 = V115052 + 1. assign V382300 = V414297 - 1. assign V351773 = V507551 - 1. assign V276927 = V719542 + 1. assign V338135 = V041288. assign V994284 = V410744. assign V650494 = V506876 + 1. assign V923146 = V353071. assign V506876 = V483796 - 1. assign V606806 = V574394 - 1. assign V227539 = V251545. assign V618396 = V353071 - 1. assign V567230 = V528143 - 1. assign V292972 = V103202 - 1. assign V696432 = V382300 - 1. assign V492883 = V353071 - 1. assign V328818 = V923146 - 1. assign V273529 = V555274 - 1. assign V809439 = V115052. assign V414297 = V295680 - 1. assign V768733 = V291172 - 1. assign V492280 = V967440 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V275377 = V295680. assign V932069 = V506876. assign V582787 = V423558 + 1. assign V731204 = V115052 + 1. assign V751475 = V539628. assign V841903 = V650494 + 1. assign V075938 = V826951. assign V555274 = V470977 + 1. assign V364704 = V115052 + 1. assign V905252 = V528143 + 1. assign V348147 = V423558. assign V211502 = V353071 + 1. assign V041288 = V291172 - 1. assign V765025 = V948385. assign V353071 = V128761. assign V421042 = V219385 - 1. assign V510246 = V388916. assign V910528 = V719542. assign V250211 = V353071 + 1. assign V034846 = V528143 - 1. assign V062938 = V410744 - 1. assign V334251 = V629276. assign V987115 = V731204. assign V507551 = V275377 - 1. assign V574394 = V295680. assign V340640 = V062938. assign V697469 = V211502 + 1. assign V569110 = V348147. assign V295680 = V629276. assign V793572 = V295680 - 1. assign V755034 = V273529 + 1. assign V223813 = V506876 - 1. assign V582071 = V115052 + 1. assign V687489 = V136534 - 1. assign V156572 = V574394. assign V826951 = V483796 + 1. assign V291172 = V423558. assign V103202 = V177292. assign V748437 = V719542 - 1. assign V423558 = V719542 - 1. assign V719542 = V115052 - 1. assign V114286 = V276927. assign V075046 = V128761 + 1. assign V528143 = V353071. assign V855346 = V325414. assign V470977 = V731204 + 1. assign V967440 = V905252 - 1. assign V148709 = V211502. assign V388916 = V528143 - 1. assign V219385 = V295680. assign V539628 = V414297. assign V719066 = V483796 - 1. assign V325414 = 4. assign V024364 = V388916. assign V177292 = V389902 - 1. assign V483796 = V731204 - 1. assign V136534 = V414297 + 1. assign V948385 = V136534 + 1. assign V128761 = V115052. assign V389902 = V115052 + 1. assign V138525 = V251545. assign V251545 = V923146 - 1. assign V260311 = V507551 + 1. assign V410744 = V470977 + 1. assign V629276 = V115052 + 1. assign V382300 = V414297 - 1. assign V351773 = V507551 - 1. assign V276927 = V719542 + 1. assign V338135 = V041288. assign V994284 = V410744. assign V650494 = V506876 + 1. assign V923146 = V353071. assign V506876 = V483796 - 1. assign V606806 = V574394 - 1. assign V227539 = V251545. assign V618396 = V353071 - 1. assign V567230 = V528143 - 1. assign V292972 = V103202 - 1. assign V696432 = V382300 - 1. assign V492883 = V353071 - 1. assign V328818 = V923146 - 1. assign V273529 = V555274 - 1. assign V809439 = V115052. assign V414297 = V295680 - 1. assign V768733 = V291172 - 1. assign V492280 = V967440 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV325414 = 4;\n\nFrom these direct assignment(s), we have: \nV855346 = V325414 = 4;\nNo other variables can be derived from V855346;\nNo other variables can be derived from V325414;\n\nNow we have done all the calculations. Derived variables are:\nV325414 = 4;\nV855346 = 4;\n\nNow we have finished this problem. ANSWER:\nV325414, V855346\n", "role": "assistant" } ]

[ "V534630" ]

[ { "content": "<context>\nassign V150698 = V471012 - 1. assign V288114 = V642214 - 1. assign V073942 = V471012. assign V996777 = V185610 + 1. assign V037100 = V608709. assign V727975 = V492642. assign V019774 = V288114 - 1. assign V492642 = V222478 - 1. assign V851307 = V054249. assign V268011 = V716422 - 1. assign V620129 = V222478 - 1. assign V517102 = V716422. assign V642214 = V517102 + 1. assign V534630 = V303277 + 1. assign V441789 = V608709 - 1. assign V456176 = V890204 - 1. assign V435557 = V492642. assign V160971 = V460501. assign V825131 = V460501 - 1. assign V254022 = V471012. assign V716422 = V460501. assign V015077 = V449516 + 1. assign V189593 = V537220. assign V469387 = V492642. assign V011746 = V517102 - 1. assign V911359 = V435557 - 1. assign V031042 = V224898. assign V140777 = V054249 - 1. assign V855561 = V471012 - 1. assign V205371 = V570170. assign V890204 = V460501. assign V319000 = V224898 + 1. assign V457936 = V201823. assign V201823 = V315643. assign V093201 = V160971 + 1. assign V726462 = V890204 + 1. assign V822678 = V460501 - 1. assign V584417 = V269971 - 1. assign V072222 = V460501 + 1. assign V118864 = V268011 - 1. assign V970626 = V289604 + 1. assign V185610 = V269971 - 1. assign V608709 = V460501 - 1. assign V449516 = V855561 - 1. assign V503386 = V492642. assign V774332 = V471012 - 1. assign V791588 = V869451 + 1. assign V269971 = V720408 - 1. assign V881582 = V570170. assign V537220 = V716422 + 1. assign V222478 = V471012. assign V289604 = V319000. assign V054249 = V492642 - 1. assign V374562 = V492642 - 1. assign V556829 = V374562. assign V901526 = V185610 - 1. assign V225474 = V449516 - 1. assign V299803 = V471012 + 1. assign V354821 = V225474 - 1. assign V745043 = V224898 - 1. assign V416714 = V726462 - 1. assign V430517 = V716422. assign V570170 = V372459. assign V771757 = V807669. assign V732591 = V185610 + 1. assign V146010 = V460501 + 1. assign V807669 = V608709. assign V869451 = V160971 + 1. assign V362881 = V881582 + 1. assign V188142 = V374562. assign V232974 = V160971. assign V453388 = V268011 - 1. assign V632225 = V372459. assign V444636 = V517102. assign V419416 = V449516. assign V633374 = V224898 + 1. assign V720408 = V146010 - 1. assign V372459 = V471012 - 1. assign V174007 = V456176 - 1. assign V485258 = V354821 - 1. assign V893952 = V019774 - 1. assign V303277 = 4. assign V224898 = V146010 - 1. assign V471012 = V537220 + 1. assign V267840 = V890204 - 1. assign V315643 = V011746 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V150698 = V471012 - 1. assign V288114 = V642214 - 1. assign V073942 = V471012. assign V996777 = V185610 + 1. assign V037100 = V608709. assign V727975 = V492642. assign V019774 = V288114 - 1. assign V492642 = V222478 - 1. assign V851307 = V054249. assign V268011 = V716422 - 1. assign V620129 = V222478 - 1. assign V517102 = V716422. assign V642214 = V517102 + 1. assign V534630 = V303277 + 1. assign V441789 = V608709 - 1. assign V456176 = V890204 - 1. assign V435557 = V492642. assign V160971 = V460501. assign V825131 = V460501 - 1. assign V254022 = V471012. assign V716422 = V460501. assign V015077 = V449516 + 1. assign V189593 = V537220. assign V469387 = V492642. assign V011746 = V517102 - 1. assign V911359 = V435557 - 1. assign V031042 = V224898. assign V140777 = V054249 - 1. assign V855561 = V471012 - 1. assign V205371 = V570170. assign V890204 = V460501. assign V319000 = V224898 + 1. assign V457936 = V201823. assign V201823 = V315643. assign V093201 = V160971 + 1. assign V726462 = V890204 + 1. assign V822678 = V460501 - 1. assign V584417 = V269971 - 1. assign V072222 = V460501 + 1. assign V118864 = V268011 - 1. assign V970626 = V289604 + 1. assign V185610 = V269971 - 1. assign V608709 = V460501 - 1. assign V449516 = V855561 - 1. assign V503386 = V492642. assign V774332 = V471012 - 1. assign V791588 = V869451 + 1. assign V269971 = V720408 - 1. assign V881582 = V570170. assign V537220 = V716422 + 1. assign V222478 = V471012. assign V289604 = V319000. assign V054249 = V492642 - 1. assign V374562 = V492642 - 1. assign V556829 = V374562. assign V901526 = V185610 - 1. assign V225474 = V449516 - 1. assign V299803 = V471012 + 1. assign V354821 = V225474 - 1. assign V745043 = V224898 - 1. assign V416714 = V726462 - 1. assign V430517 = V716422. assign V570170 = V372459. assign V771757 = V807669. assign V732591 = V185610 + 1. assign V146010 = V460501 + 1. assign V807669 = V608709. assign V869451 = V160971 + 1. assign V362881 = V881582 + 1. assign V188142 = V374562. assign V232974 = V160971. assign V453388 = V268011 - 1. assign V632225 = V372459. assign V444636 = V517102. assign V419416 = V449516. assign V633374 = V224898 + 1. assign V720408 = V146010 - 1. assign V372459 = V471012 - 1. assign V174007 = V456176 - 1. assign V485258 = V354821 - 1. assign V893952 = V019774 - 1. assign V303277 = 4. assign V224898 = V146010 - 1. assign V471012 = V537220 + 1. assign V267840 = V890204 - 1. assign V315643 = V011746 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV303277 = 4;\n\nFrom these direct assignment(s), we have: \nV534630 = V303277 + 1 = 4 + 1 =5;\nNo other variables can be derived from V534630;\nNo other variables can be derived from V303277;\n\nNow we have done all the calculations. Derived variables are:\nV303277 = 4;\nV534630 = 5;\n\nNow we have finished this problem. ANSWER:\nV534630\n", "role": "assistant" } ]

[ "V565899" ]

[ { "content": "<context>\nassign V565899 = V529839 - 1. assign V119008 = V610929 - 1. assign V094356 = V456932 - 1. assign V779103 = V230412 + 1. assign V850717 = V395616 - 1. assign V053362 = V578174. assign V376058 = V387307 + 1. assign V895061 = V610929 - 1. assign V189549 = V779103 - 1. assign V344711 = V491440. assign V811267 = V224998 + 1. assign V348697 = V262967 - 1. assign V488829 = V954302 - 1. assign V306887 = V895061 + 1. assign V491440 = V418911 + 1. assign V138444 = V230412 - 1. assign V162071 = V040055. assign V954302 = V119008. assign V157001 = V040055 + 1. assign V956363 = V456932 - 1. assign V038866 = V637567. assign V262967 = V885062 - 1. assign V331455 = V239527 + 1. assign V252384 = V053362. assign V576726 = V433850. assign V403843 = V376058. assign V691802 = V401361. assign V387307 = V989258 + 1. assign V691168 = V331455 + 1. assign V537591 = V779103 - 1. assign V535330 = V119008 + 1. assign V239527 = V765932 + 1. assign V761323 = V765932 - 1. assign V590946 = V551095. assign V074173 = V637567 + 1. assign V185631 = V038866. assign V488450 = V418911 - 1. assign V578174 = V038866 - 1. assign V433850 = V138444. assign V108750 = V332329 + 1. assign V113935 = V017600. assign V456932 = V038866. assign V144216 = V230412 + 1. assign V082496 = V179392. assign V558867 = V302142 + 1. assign V897409 = V424733 + 1. assign V879027 = V850717 - 1. assign V761584 = V185631. assign V364351 = V035900 - 1. assign V684189 = V812094 - 1. assign V945376 = V038866 + 1. assign V619892 = V364351 + 1. assign V139736 = V765932 + 1. assign V224998 = V610929 + 1. assign V106448 = V224998 - 1. assign V302142 = V879027 + 1. assign V332329 = V139736 - 1. assign V982939 = V779103 - 1. assign V610929 = V578174 + 1. assign V113841 = V108750 - 1. assign V960443 = V252384 - 1. assign V017600 = V954302. assign V990167 = V179392. assign V040055 = V138444 - 1. assign V179392 = V401361. assign V812094 = V578174 + 1. assign V168457 = V418911. assign V885062 = V230412 - 1. assign V288662 = V038866 + 1. assign V230412 = V610929 + 1. assign V418911 = V331455. assign V491757 = V144216 + 1. assign V529839 = 4. assign V604439 = V094356. assign V989258 = V578174 - 1. assign V401361 = V387307 + 1. assign V395616 = V038866. assign V719852 = V332329 + 1. assign V608493 = V879027 - 1. assign V078041 = V395616 + 1. assign V035900 = V387307 - 1. assign V765932 = V945376 - 1. assign V424733 = V456932 - 1. assign V407082 = V989258 - 1. assign V551095 = V956363 - 1. assign V564758 = V082496.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V565899 = V529839 - 1. assign V119008 = V610929 - 1. assign V094356 = V456932 - 1. assign V779103 = V230412 + 1. assign V850717 = V395616 - 1. assign V053362 = V578174. assign V376058 = V387307 + 1. assign V895061 = V610929 - 1. assign V189549 = V779103 - 1. assign V344711 = V491440. assign V811267 = V224998 + 1. assign V348697 = V262967 - 1. assign V488829 = V954302 - 1. assign V306887 = V895061 + 1. assign V491440 = V418911 + 1. assign V138444 = V230412 - 1. assign V162071 = V040055. assign V954302 = V119008. assign V157001 = V040055 + 1. assign V956363 = V456932 - 1. assign V038866 = V637567. assign V262967 = V885062 - 1. assign V331455 = V239527 + 1. assign V252384 = V053362. assign V576726 = V433850. assign V403843 = V376058. assign V691802 = V401361. assign V387307 = V989258 + 1. assign V691168 = V331455 + 1. assign V537591 = V779103 - 1. assign V535330 = V119008 + 1. assign V239527 = V765932 + 1. assign V761323 = V765932 - 1. assign V590946 = V551095. assign V074173 = V637567 + 1. assign V185631 = V038866. assign V488450 = V418911 - 1. assign V578174 = V038866 - 1. assign V433850 = V138444. assign V108750 = V332329 + 1. assign V113935 = V017600. assign V456932 = V038866. assign V144216 = V230412 + 1. assign V082496 = V179392. assign V558867 = V302142 + 1. assign V897409 = V424733 + 1. assign V879027 = V850717 - 1. assign V761584 = V185631. assign V364351 = V035900 - 1. assign V684189 = V812094 - 1. assign V945376 = V038866 + 1. assign V619892 = V364351 + 1. assign V139736 = V765932 + 1. assign V224998 = V610929 + 1. assign V106448 = V224998 - 1. assign V302142 = V879027 + 1. assign V332329 = V139736 - 1. assign V982939 = V779103 - 1. assign V610929 = V578174 + 1. assign V113841 = V108750 - 1. assign V960443 = V252384 - 1. assign V017600 = V954302. assign V990167 = V179392. assign V040055 = V138444 - 1. assign V179392 = V401361. assign V812094 = V578174 + 1. assign V168457 = V418911. assign V885062 = V230412 - 1. assign V288662 = V038866 + 1. assign V230412 = V610929 + 1. assign V418911 = V331455. assign V491757 = V144216 + 1. assign V529839 = 4. assign V604439 = V094356. assign V989258 = V578174 - 1. assign V401361 = V387307 + 1. assign V395616 = V038866. assign V719852 = V332329 + 1. assign V608493 = V879027 - 1. assign V078041 = V395616 + 1. assign V035900 = V387307 - 1. assign V765932 = V945376 - 1. assign V424733 = V456932 - 1. assign V407082 = V989258 - 1. assign V551095 = V956363 - 1. assign V564758 = V082496.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV529839 = 4;\n\nFrom these direct assignment(s), we have: \nV565899 = V529839 - 1 = 4 - 1 =3;\nNo other variables can be derived from V565899;\nNo other variables can be derived from V529839;\n\nNow we have done all the calculations. Derived variables are:\nV529839 = 4;\nV565899 = 3;\n\nNow we have finished this problem. ANSWER:\nV565899\n", "role": "assistant" } ]

[ "V745002" ]

[ { "content": "<context>\nassign V497606 = V155902. assign V643068 = V109877 - 1. assign V961598 = V526511 + 1. assign V787237 = V284183 + 1. assign V054813 = V109877. assign V008159 = V284183 - 1. assign V087072 = V334978 - 1. assign V793925 = V526511 - 1. assign V127768 = V057871 - 1. assign V075556 = V643068 + 1. assign V385961 = V623567 + 1. assign V331443 = V228162 - 1. assign V537772 = V733179 + 1. assign V057871 = V526511 + 1. assign V959064 = V850475 - 1. assign V060943 = V133893. assign V143737 = V821139. assign V212089 = V718988 - 1. assign V534678 = V008159 + 1. assign V604321 = V210823 + 1. assign V302135 = V184823 + 1. assign V623886 = V743095. assign V467800 = V003151 - 1. assign V199081 = V284183 + 1. assign V708801 = V311067 - 1. assign V821139 = V377322. assign V377322 = V003151 + 1. assign V522204 = V259154. assign V486148 = V133893 - 1. assign V254118 = V200209 + 1. assign V228162 = V486148 + 1. assign V718648 = V284183. assign V964525 = V522204 + 1. assign V305667 = V184823 - 1. assign V823193 = V850475 + 1. assign V752976 = V104167 - 1. assign V780151 = V254118. assign V745002 = 3. assign V361578 = V200209 + 1. assign V745452 = V526511. assign V151809 = V889229 - 1. assign V674543 = V890756. assign V279884 = V228162. assign V736151 = V311067 - 1. assign V449128 = V104167. assign V399954 = V743095 + 1. assign V667512 = V964525 + 1. assign V133893 = V054813 - 1. assign V826591 = V200209 - 1. assign V890756 = V667512 + 1. assign V526511 = V008159 + 1. assign V944282 = V449128 - 1. assign V155902 = V184823 + 1. assign V743095 = V199081 - 1. assign V104167 = V184823 - 1. assign V047123 = V095850. assign V389993 = V959064. assign V284183 = V210823 + 1. assign V853163 = V305667 + 1. assign V863696 = V708801 + 1. assign V184823 = V210823 + 1. assign V733179 = V117509 + 1. assign V311067 = V284183. assign V663364 = V075556 - 1. assign V334978 = V623567 + 1. assign V200209 = V284183. assign V358684 = V959064. assign V889229 = V305667 + 1. assign V844600 = V054813 + 1. assign V117509 = V210823 + 1. assign V850475 = V117509. assign V652043 = V821139 - 1. assign V623567 = V117509 + 1. assign V875383 = V428301 + 1. assign V109877 = V117509. assign V529645 = V486148. assign V428301 = V184823 + 1. assign V557294 = V486148 - 1. assign V095850 = V003151 + 1. assign V718988 = V826591. assign V595568 = V708801 + 1. assign V532646 = V961598 + 1. assign V259154 = V210823 + 1. assign V550016 = V745002 - 1. assign V003151 = V199081. assign V181606 = V199081 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V497606 = V155902. assign V643068 = V109877 - 1. assign V961598 = V526511 + 1. assign V787237 = V284183 + 1. assign V054813 = V109877. assign V008159 = V284183 - 1. assign V087072 = V334978 - 1. assign V793925 = V526511 - 1. assign V127768 = V057871 - 1. assign V075556 = V643068 + 1. assign V385961 = V623567 + 1. assign V331443 = V228162 - 1. assign V537772 = V733179 + 1. assign V057871 = V526511 + 1. assign V959064 = V850475 - 1. assign V060943 = V133893. assign V143737 = V821139. assign V212089 = V718988 - 1. assign V534678 = V008159 + 1. assign V604321 = V210823 + 1. assign V302135 = V184823 + 1. assign V623886 = V743095. assign V467800 = V003151 - 1. assign V199081 = V284183 + 1. assign V708801 = V311067 - 1. assign V821139 = V377322. assign V377322 = V003151 + 1. assign V522204 = V259154. assign V486148 = V133893 - 1. assign V254118 = V200209 + 1. assign V228162 = V486148 + 1. assign V718648 = V284183. assign V964525 = V522204 + 1. assign V305667 = V184823 - 1. assign V823193 = V850475 + 1. assign V752976 = V104167 - 1. assign V780151 = V254118. assign V745002 = 3. assign V361578 = V200209 + 1. assign V745452 = V526511. assign V151809 = V889229 - 1. assign V674543 = V890756. assign V279884 = V228162. assign V736151 = V311067 - 1. assign V449128 = V104167. assign V399954 = V743095 + 1. assign V667512 = V964525 + 1. assign V133893 = V054813 - 1. assign V826591 = V200209 - 1. assign V890756 = V667512 + 1. assign V526511 = V008159 + 1. assign V944282 = V449128 - 1. assign V155902 = V184823 + 1. assign V743095 = V199081 - 1. assign V104167 = V184823 - 1. assign V047123 = V095850. assign V389993 = V959064. assign V284183 = V210823 + 1. assign V853163 = V305667 + 1. assign V863696 = V708801 + 1. assign V184823 = V210823 + 1. assign V733179 = V117509 + 1. assign V311067 = V284183. assign V663364 = V075556 - 1. assign V334978 = V623567 + 1. assign V200209 = V284183. assign V358684 = V959064. assign V889229 = V305667 + 1. assign V844600 = V054813 + 1. assign V117509 = V210823 + 1. assign V850475 = V117509. assign V652043 = V821139 - 1. assign V623567 = V117509 + 1. assign V875383 = V428301 + 1. assign V109877 = V117509. assign V529645 = V486148. assign V428301 = V184823 + 1. assign V557294 = V486148 - 1. assign V095850 = V003151 + 1. assign V718988 = V826591. assign V595568 = V708801 + 1. assign V532646 = V961598 + 1. assign V259154 = V210823 + 1. assign V550016 = V745002 - 1. assign V003151 = V199081. assign V181606 = V199081 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV745002 = 3;\n\nFrom these direct assignment(s), we have: \nV550016 = V745002 - 1 = 3 - 1 =2;\nNo other variables can be derived from V550016;\nNo other variables can be derived from V745002;\n\nNow we have done all the calculations. Derived variables are:\nV745002 = 3;\nV550016 = 2;\n\nNow we have finished this problem. ANSWER:\nV745002\n", "role": "assistant" } ]

[ "V711710" ]

[ { "content": "<context>\nassign V700975 = V894296. assign V975180 = V752663 - 1. assign V561831 = V908523. assign V915263 = V024957. assign V531078 = V069739. assign V578880 = V397793 + 1. assign V591726 = V185318 + 1. assign V013500 = V688109. assign V022342 = V924102 + 1. assign V947575 = V016302 + 1. assign V271516 = V234857 + 1. assign V141741 = V537611. assign V115658 = V867228 + 1. assign V346528 = V867228 + 1. assign V325518 = V937353. assign V067567 = V130529 - 1. assign V867228 = V947575. assign V451699 = V951084 - 1. assign V290011 = V752663 - 1. assign V848373 = V813148 + 1. assign V024957 = V658027 - 1. assign V365607 = V537611 - 1. assign V004572 = V843894 - 1. assign V762593 = V779754 + 1. assign V736610 = V545861. assign V665918 = V843894 + 1. assign V281811 = V346528. assign V658261 = V022342. assign V906879 = V135183 + 1. assign V924102 = V271516 + 1. assign V310249 = V711710 + 1. assign V688109 = V851481. assign V610600 = V271516 - 1. assign V252254 = V488160. assign V035810 = V894296 + 1. assign V937353 = V951084. assign V135183 = V752663 - 1. assign V986332 = V734229 + 1. assign V951084 = V016302 + 1. assign V803809 = V298878 + 1. assign V069739 = V022342 + 1. assign V120241 = V736610 - 1. assign V653710 = V734229 - 1. assign V135946 = V120241 + 1. assign V436800 = V752663. assign V738680 = V508887 + 1. assign V830690 = V803809 + 1. assign V217291 = V658261 + 1. assign V400453 = V185318 - 1. assign V470189 = V843894 - 1. assign V046475 = V561831. assign V055098 = V986332 + 1. assign V270509 = V894296. assign V843894 = V658027. assign V185318 = V951084 + 1. assign V008396 = V591726 + 1. assign V397793 = V325518 + 1. assign V734229 = V397793 - 1. assign V851481 = V974278 + 1. assign V813148 = V947575. assign V752663 = V908523 + 1. assign V974278 = V346528 + 1. assign V894296 = V813148. assign V910669 = V400453 + 1. assign V273063 = V488160 - 1. assign V537611 = V947575. assign V328925 = V915263 + 1. assign V779754 = V264091 + 1. assign V130529 = V578880. assign V658027 = V115658. assign V508887 = V298878 - 1. assign V711710 = 1. assign V264091 = V069739. assign V488160 = V069739 - 1. assign V110052 = V578880 - 1. assign V327963 = V290011 + 1. assign V506588 = V016302 + 1. assign V545861 = V752663 - 1. assign V070146 = V653710. assign V210553 = V141741 - 1. assign V518397 = V290011. assign V298878 = V397793 + 1. assign V307068 = V470189 - 1. assign V016302 = V234857. assign V908523 = V951084 - 1. assign V433968 = V217291 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V700975 = V894296. assign V975180 = V752663 - 1. assign V561831 = V908523. assign V915263 = V024957. assign V531078 = V069739. assign V578880 = V397793 + 1. assign V591726 = V185318 + 1. assign V013500 = V688109. assign V022342 = V924102 + 1. assign V947575 = V016302 + 1. assign V271516 = V234857 + 1. assign V141741 = V537611. assign V115658 = V867228 + 1. assign V346528 = V867228 + 1. assign V325518 = V937353. assign V067567 = V130529 - 1. assign V867228 = V947575. assign V451699 = V951084 - 1. assign V290011 = V752663 - 1. assign V848373 = V813148 + 1. assign V024957 = V658027 - 1. assign V365607 = V537611 - 1. assign V004572 = V843894 - 1. assign V762593 = V779754 + 1. assign V736610 = V545861. assign V665918 = V843894 + 1. assign V281811 = V346528. assign V658261 = V022342. assign V906879 = V135183 + 1. assign V924102 = V271516 + 1. assign V310249 = V711710 + 1. assign V688109 = V851481. assign V610600 = V271516 - 1. assign V252254 = V488160. assign V035810 = V894296 + 1. assign V937353 = V951084. assign V135183 = V752663 - 1. assign V986332 = V734229 + 1. assign V951084 = V016302 + 1. assign V803809 = V298878 + 1. assign V069739 = V022342 + 1. assign V120241 = V736610 - 1. assign V653710 = V734229 - 1. assign V135946 = V120241 + 1. assign V436800 = V752663. assign V738680 = V508887 + 1. assign V830690 = V803809 + 1. assign V217291 = V658261 + 1. assign V400453 = V185318 - 1. assign V470189 = V843894 - 1. assign V046475 = V561831. assign V055098 = V986332 + 1. assign V270509 = V894296. assign V843894 = V658027. assign V185318 = V951084 + 1. assign V008396 = V591726 + 1. assign V397793 = V325518 + 1. assign V734229 = V397793 - 1. assign V851481 = V974278 + 1. assign V813148 = V947575. assign V752663 = V908523 + 1. assign V974278 = V346528 + 1. assign V894296 = V813148. assign V910669 = V400453 + 1. assign V273063 = V488160 - 1. assign V537611 = V947575. assign V328925 = V915263 + 1. assign V779754 = V264091 + 1. assign V130529 = V578880. assign V658027 = V115658. assign V508887 = V298878 - 1. assign V711710 = 1. assign V264091 = V069739. assign V488160 = V069739 - 1. assign V110052 = V578880 - 1. assign V327963 = V290011 + 1. assign V506588 = V016302 + 1. assign V545861 = V752663 - 1. assign V070146 = V653710. assign V210553 = V141741 - 1. assign V518397 = V290011. assign V298878 = V397793 + 1. assign V307068 = V470189 - 1. assign V016302 = V234857. assign V908523 = V951084 - 1. assign V433968 = V217291 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV711710 = 1;\n\nFrom these direct assignment(s), we have: \nV310249 = V711710 + 1 = 1 + 1 =2;\nNo other variables can be derived from V310249;\nNo other variables can be derived from V711710;\n\nNow we have done all the calculations. Derived variables are:\nV711710 = 1;\nV310249 = 2;\n\nNow we have finished this problem. ANSWER:\nV711710\n", "role": "assistant" } ]

[ "V056724", "V747036" ]

[ { "content": "<context>\nassign V186179 = V510896 + 1. assign V801807 = V387091 - 1. assign V056724 = 6. assign V001214 = V524487. assign V004029 = V882135. assign V000261 = V726824 - 1. assign V264221 = V347723 + 1. assign V125198 = V729255 - 1. assign V339786 = V605434. assign V132084 = V556289. assign V619613 = V125198 - 1. assign V686638 = V922778 - 1. assign V223385 = V605434 - 1. assign V705022 = V801807 - 1. assign V374505 = V592692. assign V258694 = V161652 - 1. assign V347723 = V683247. assign V729255 = V192445. assign V060490 = V125198. assign V161652 = V186179 + 1. assign V117200 = V132084 - 1. assign V275812 = V264221. assign V603748 = V117200. assign V702097 = V223757. assign V492547 = V524487 - 1. assign V362538 = V004029 - 1. assign V764672 = V888126. assign V868590 = V425615 - 1. assign V352587 = V729255 + 1. assign V882135 = V524487 + 1. assign V184289 = V346840 - 1. assign V416307 = V888126. assign V164422 = V523303 - 1. assign V683247 = V125198 - 1. assign V605434 = V524645. assign V796862 = V807267 + 1. assign V513208 = V523303 + 1. assign V054077 = V192445 - 1. assign V828922 = V827596 + 1. assign V524487 = V523303 - 1. assign V553922 = V764672. assign V726824 = V827596 - 1. assign V578026 = V004029. assign V524645 = V192445 + 1. assign V712860 = V125198 - 1. assign V239364 = V764672 - 1. assign V425615 = V125198. assign V231720 = V425615. assign V359863 = V153210 - 1. assign V223757 = V712860 - 1. assign V309771 = V125198 + 1. assign V898111 = V088476. assign V463779 = V807267 + 1. assign V171454 = V125198. assign V584095 = V513208. assign V088476 = V524487 + 1. assign V251954 = V203148 - 1. assign V342636 = V991026 - 1. assign V786281 = V868590. assign V747036 = V056724. assign V153210 = V524487. assign V333129 = V352587. assign V807267 = V125198. assign V827596 = V125198 - 1. assign V832537 = V524645. assign V250105 = V223385 + 1. assign V773729 = V726824 + 1. assign V556289 = V524645 - 1. assign V305457 = V882135 - 1. assign V290141 = V060490 + 1. assign V991026 = V192445 + 1. assign V643098 = V492547. assign V094454 = V888126 + 1. assign V346840 = V194438 - 1. assign V387091 = V556289. assign V523303 = V726824. assign V510896 = V125198 - 1. assign V906229 = V592692 - 1. assign V842423 = V309771 + 1. assign V942310 = V264221 - 1. assign V922778 = V523303 + 1. assign V027296 = V359863. assign V888126 = V524645 - 1. assign V592692 = V309771 + 1. assign V194438 = V683247 - 1. assign V203148 = V603748 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V186179 = V510896 + 1. assign V801807 = V387091 - 1. assign V056724 = 6. assign V001214 = V524487. assign V004029 = V882135. assign V000261 = V726824 - 1. assign V264221 = V347723 + 1. assign V125198 = V729255 - 1. assign V339786 = V605434. assign V132084 = V556289. assign V619613 = V125198 - 1. assign V686638 = V922778 - 1. assign V223385 = V605434 - 1. assign V705022 = V801807 - 1. assign V374505 = V592692. assign V258694 = V161652 - 1. assign V347723 = V683247. assign V729255 = V192445. assign V060490 = V125198. assign V161652 = V186179 + 1. assign V117200 = V132084 - 1. assign V275812 = V264221. assign V603748 = V117200. assign V702097 = V223757. assign V492547 = V524487 - 1. assign V362538 = V004029 - 1. assign V764672 = V888126. assign V868590 = V425615 - 1. assign V352587 = V729255 + 1. assign V882135 = V524487 + 1. assign V184289 = V346840 - 1. assign V416307 = V888126. assign V164422 = V523303 - 1. assign V683247 = V125198 - 1. assign V605434 = V524645. assign V796862 = V807267 + 1. assign V513208 = V523303 + 1. assign V054077 = V192445 - 1. assign V828922 = V827596 + 1. assign V524487 = V523303 - 1. assign V553922 = V764672. assign V726824 = V827596 - 1. assign V578026 = V004029. assign V524645 = V192445 + 1. assign V712860 = V125198 - 1. assign V239364 = V764672 - 1. assign V425615 = V125198. assign V231720 = V425615. assign V359863 = V153210 - 1. assign V223757 = V712860 - 1. assign V309771 = V125198 + 1. assign V898111 = V088476. assign V463779 = V807267 + 1. assign V171454 = V125198. assign V584095 = V513208. assign V088476 = V524487 + 1. assign V251954 = V203148 - 1. assign V342636 = V991026 - 1. assign V786281 = V868590. assign V747036 = V056724. assign V153210 = V524487. assign V333129 = V352587. assign V807267 = V125198. assign V827596 = V125198 - 1. assign V832537 = V524645. assign V250105 = V223385 + 1. assign V773729 = V726824 + 1. assign V556289 = V524645 - 1. assign V305457 = V882135 - 1. assign V290141 = V060490 + 1. assign V991026 = V192445 + 1. assign V643098 = V492547. assign V094454 = V888126 + 1. assign V346840 = V194438 - 1. assign V387091 = V556289. assign V523303 = V726824. assign V510896 = V125198 - 1. assign V906229 = V592692 - 1. assign V842423 = V309771 + 1. assign V942310 = V264221 - 1. assign V922778 = V523303 + 1. assign V027296 = V359863. assign V888126 = V524645 - 1. assign V592692 = V309771 + 1. assign V194438 = V683247 - 1. assign V203148 = V603748 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV056724 = 6;\n\nFrom these direct assignment(s), we have: \nV747036 = V056724 = 6;\nNo other variables can be derived from V747036;\nNo other variables can be derived from V056724;\n\nNow we have done all the calculations. Derived variables are:\nV056724 = 6;\nV747036 = 6;\n\nNow we have finished this problem. ANSWER:\nV056724, V747036\n", "role": "assistant" } ]

[ "V406220", "V916208" ]

[ { "content": "<context>\nassign V874502 = V478153 + 1. assign V244421 = V267273. assign V017589 = V839638 - 1. assign V985069 = V833757 + 1. assign V850466 = V774660 + 1. assign V124291 = V773804 - 1. assign V988981 = V860812. assign V679755 = V563428 + 1. assign V967271 = V382926 + 1. assign V857428 = V102907 - 1. assign V884456 = V773804. assign V525000 = V333827 - 1. assign V597764 = V197232. assign V203924 = V415634 - 1. assign V184360 = V511337. assign V086039 = V525000 + 1. assign V318197 = V184360 + 1. assign V581229 = V333827 - 1. assign V647973 = V884456 - 1. assign V325121 = V525000 - 1. assign V593048 = V293664 - 1. assign V870958 = V088192 + 1. assign V563428 = V327169 + 1. assign V477174 = V511337 - 1. assign V897231 = V267273 + 1. assign V848809 = V663485 - 1. assign V898400 = V902266 - 1. assign V415676 = V708729. assign V140202 = V086039 + 1. assign V626182 = V197232 - 1. assign V239833 = V293664. assign V451511 = V458384 + 1. assign V916208 = V406220. assign V382926 = V902266. assign V588076 = V938847 - 1. assign V087805 = V184360 - 1. assign V409694 = V184360 + 1. assign V003065 = V102907 + 1. assign V267273 = V298094 + 1. assign V839638 = V318197 + 1. assign V065370 = V478153 + 1. assign V584679 = V525000 + 1. assign V469755 = V318080 - 1. assign V938847 = V477174 - 1. assign V989985 = V973507 + 1. assign V196086 = V325121. assign V415634 = V327169 - 1. assign V833757 = V409694 - 1. assign V860812 = V415634 + 1. assign V120401 = V477174. assign V371003 = V027038 - 1. assign V550458 = V477174 - 1. assign V861082 = V769499. assign V318080 = V086039 - 1. assign V298094 = V973507. assign V129395 = V477174 + 1. assign V458384 = V088192 + 1. assign V707829 = V086039 + 1. assign V147577 = V848809 - 1. assign V197232 = V065370. assign V406220 = 4. assign V909900 = V478153 - 1. assign V338652 = V989985 - 1. assign V969522 = V954751 - 1. assign V050316 = V989985. assign V733785 = V086039 - 1. assign V902266 = V563428 - 1. assign V663485 = V563428. assign V107049 = V773804. assign V954751 = V511337 - 1. assign V088192 = V478153. assign V669878 = V989985 - 1. assign V327169 = V333827 - 1. assign V777584 = V525000. assign V769499 = V325121. assign V708729 = V409694 - 1. assign V277373 = V102907. assign V511337 = V333827 + 1. assign V027038 = V327169 - 1. assign V478153 = V027038. assign V774660 = V298094 + 1. assign V770284 = V086039 - 1. assign V973507 = V184360. assign V102907 = V239833 - 1. assign V293664 = V525000. assign V773804 = V848809 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V874502 = V478153 + 1. assign V244421 = V267273. assign V017589 = V839638 - 1. assign V985069 = V833757 + 1. assign V850466 = V774660 + 1. assign V124291 = V773804 - 1. assign V988981 = V860812. assign V679755 = V563428 + 1. assign V967271 = V382926 + 1. assign V857428 = V102907 - 1. assign V884456 = V773804. assign V525000 = V333827 - 1. assign V597764 = V197232. assign V203924 = V415634 - 1. assign V184360 = V511337. assign V086039 = V525000 + 1. assign V318197 = V184360 + 1. assign V581229 = V333827 - 1. assign V647973 = V884456 - 1. assign V325121 = V525000 - 1. assign V593048 = V293664 - 1. assign V870958 = V088192 + 1. assign V563428 = V327169 + 1. assign V477174 = V511337 - 1. assign V897231 = V267273 + 1. assign V848809 = V663485 - 1. assign V898400 = V902266 - 1. assign V415676 = V708729. assign V140202 = V086039 + 1. assign V626182 = V197232 - 1. assign V239833 = V293664. assign V451511 = V458384 + 1. assign V916208 = V406220. assign V382926 = V902266. assign V588076 = V938847 - 1. assign V087805 = V184360 - 1. assign V409694 = V184360 + 1. assign V003065 = V102907 + 1. assign V267273 = V298094 + 1. assign V839638 = V318197 + 1. assign V065370 = V478153 + 1. assign V584679 = V525000 + 1. assign V469755 = V318080 - 1. assign V938847 = V477174 - 1. assign V989985 = V973507 + 1. assign V196086 = V325121. assign V415634 = V327169 - 1. assign V833757 = V409694 - 1. assign V860812 = V415634 + 1. assign V120401 = V477174. assign V371003 = V027038 - 1. assign V550458 = V477174 - 1. assign V861082 = V769499. assign V318080 = V086039 - 1. assign V298094 = V973507. assign V129395 = V477174 + 1. assign V458384 = V088192 + 1. assign V707829 = V086039 + 1. assign V147577 = V848809 - 1. assign V197232 = V065370. assign V406220 = 4. assign V909900 = V478153 - 1. assign V338652 = V989985 - 1. assign V969522 = V954751 - 1. assign V050316 = V989985. assign V733785 = V086039 - 1. assign V902266 = V563428 - 1. assign V663485 = V563428. assign V107049 = V773804. assign V954751 = V511337 - 1. assign V088192 = V478153. assign V669878 = V989985 - 1. assign V327169 = V333827 - 1. assign V777584 = V525000. assign V769499 = V325121. assign V708729 = V409694 - 1. assign V277373 = V102907. assign V511337 = V333827 + 1. assign V027038 = V327169 - 1. assign V478153 = V027038. assign V774660 = V298094 + 1. assign V770284 = V086039 - 1. assign V973507 = V184360. assign V102907 = V239833 - 1. assign V293664 = V525000. assign V773804 = V848809 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV406220 = 4;\n\nFrom these direct assignment(s), we have: \nV916208 = V406220 = 4;\nNo other variables can be derived from V916208;\nNo other variables can be derived from V406220;\n\nNow we have done all the calculations. Derived variables are:\nV406220 = 4;\nV916208 = 4;\n\nNow we have finished this problem. ANSWER:\nV406220, V916208\n", "role": "assistant" } ]

[ "V727489", "V060482" ]

[ { "content": "<context>\nassign V727489 = 4. assign V663903 = V651367 + 1. assign V332311 = V156634 - 1. assign V686541 = V068471. assign V887230 = V738408 + 1. assign V336168 = V329523 - 1. assign V186619 = V874555. assign V699273 = V861735 - 1. assign V520731 = V231656 + 1. assign V921257 = V143477 + 1. assign V146809 = V724331 + 1. assign V846674 = V663903 - 1. assign V961955 = V375385 - 1. assign V994495 = V193260 + 1. assign V145376 = V658387. assign V861735 = V042937 + 1. assign V923219 = V167018 + 1. assign V322841 = V148268. assign V919716 = V146174. assign V929786 = V325769 + 1. assign V989121 = V332311 + 1. assign V332253 = V234308 - 1. assign V257561 = V167018 - 1. assign V502858 = V686541. assign V874555 = V068471 - 1. assign V802301 = V325769. assign V724331 = V961955. assign V651367 = V167018 - 1. assign V234308 = V042937 - 1. assign V578728 = V874555. assign V717505 = V961955. assign V044233 = V663903 + 1. assign V993045 = V705569. assign V257089 = V332253 - 1. assign V829910 = V365910 - 1. assign V156634 = V874555 + 1. assign V241927 = V502858. assign V167018 = V068471. assign V324406 = V874555 - 1. assign V860366 = V186619. assign V301946 = V651367 - 1. assign V285452 = V846674. assign V614876 = V663903. assign V020202 = V167018. assign V361399 = V921257 + 1. assign V658387 = V375385 - 1. assign V148268 = V186619. assign V138861 = V365910 + 1. assign V975743 = V750886 - 1. assign V741378 = V993045 - 1. assign V750886 = V961955 + 1. assign V609193 = V296553. assign V251263 = V874555 - 1. assign V143477 = V301946 - 1. assign V231656 = V578728 - 1. assign V204342 = V325769. assign V702189 = V143477. assign V223443 = V332311 - 1. assign V285304 = V257089 + 1. assign V896903 = V989121 - 1. assign V056337 = V352200 + 1. assign V705569 = V663903 - 1. assign V060482 = V727489. assign V146174 = V042937 - 1. assign V738408 = V559491 + 1. assign V216302 = V324406 + 1. assign V042937 = V578728. assign V296553 = V578728 + 1. assign V234639 = V324406 - 1. assign V143287 = V204342 + 1. assign V756538 = V686541 + 1. assign V076710 = V156634 + 1. assign V325769 = V042937 + 1. assign V893749 = V578728 + 1. assign V193260 = V422779. assign V559491 = V332253. assign V375385 = V325769 - 1. assign V973112 = V578728 + 1. assign V977717 = V193260 + 1. assign V329523 = V146174 + 1. assign V365910 = V156634 - 1. assign V243745 = V750886 + 1. assign V352200 = V167018. assign V461073 = V332253 + 1. assign V422779 = V234308 - 1. assign V314269 = V332311 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V727489 = 4. assign V663903 = V651367 + 1. assign V332311 = V156634 - 1. assign V686541 = V068471. assign V887230 = V738408 + 1. assign V336168 = V329523 - 1. assign V186619 = V874555. assign V699273 = V861735 - 1. assign V520731 = V231656 + 1. assign V921257 = V143477 + 1. assign V146809 = V724331 + 1. assign V846674 = V663903 - 1. assign V961955 = V375385 - 1. assign V994495 = V193260 + 1. assign V145376 = V658387. assign V861735 = V042937 + 1. assign V923219 = V167018 + 1. assign V322841 = V148268. assign V919716 = V146174. assign V929786 = V325769 + 1. assign V989121 = V332311 + 1. assign V332253 = V234308 - 1. assign V257561 = V167018 - 1. assign V502858 = V686541. assign V874555 = V068471 - 1. assign V802301 = V325769. assign V724331 = V961955. assign V651367 = V167018 - 1. assign V234308 = V042937 - 1. assign V578728 = V874555. assign V717505 = V961955. assign V044233 = V663903 + 1. assign V993045 = V705569. assign V257089 = V332253 - 1. assign V829910 = V365910 - 1. assign V156634 = V874555 + 1. assign V241927 = V502858. assign V167018 = V068471. assign V324406 = V874555 - 1. assign V860366 = V186619. assign V301946 = V651367 - 1. assign V285452 = V846674. assign V614876 = V663903. assign V020202 = V167018. assign V361399 = V921257 + 1. assign V658387 = V375385 - 1. assign V148268 = V186619. assign V138861 = V365910 + 1. assign V975743 = V750886 - 1. assign V741378 = V993045 - 1. assign V750886 = V961955 + 1. assign V609193 = V296553. assign V251263 = V874555 - 1. assign V143477 = V301946 - 1. assign V231656 = V578728 - 1. assign V204342 = V325769. assign V702189 = V143477. assign V223443 = V332311 - 1. assign V285304 = V257089 + 1. assign V896903 = V989121 - 1. assign V056337 = V352200 + 1. assign V705569 = V663903 - 1. assign V060482 = V727489. assign V146174 = V042937 - 1. assign V738408 = V559491 + 1. assign V216302 = V324406 + 1. assign V042937 = V578728. assign V296553 = V578728 + 1. assign V234639 = V324406 - 1. assign V143287 = V204342 + 1. assign V756538 = V686541 + 1. assign V076710 = V156634 + 1. assign V325769 = V042937 + 1. assign V893749 = V578728 + 1. assign V193260 = V422779. assign V559491 = V332253. assign V375385 = V325769 - 1. assign V973112 = V578728 + 1. assign V977717 = V193260 + 1. assign V329523 = V146174 + 1. assign V365910 = V156634 - 1. assign V243745 = V750886 + 1. assign V352200 = V167018. assign V461073 = V332253 + 1. assign V422779 = V234308 - 1. assign V314269 = V332311 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV727489 = 4;\n\nFrom these direct assignment(s), we have: \nV060482 = V727489 = 4;\nNo other variables can be derived from V060482;\nNo other variables can be derived from V727489;\n\nNow we have done all the calculations. Derived variables are:\nV727489 = 4;\nV060482 = 4;\n\nNow we have finished this problem. ANSWER:\nV727489, V060482\n", "role": "assistant" } ]

[ "V296821", "V056040" ]

[ { "content": "<context>\nassign V221244 = V817125. assign V261876 = V944801 + 1. assign V012708 = V040228 + 1. assign V094528 = V911047 - 1. assign V176341 = V486869. assign V719242 = V748895 + 1. assign V502666 = V486869. assign V094358 = V817125 - 1. assign V040228 = V486869 + 1. assign V522373 = V176341 - 1. assign V992597 = V615104 + 1. assign V401472 = V944801 - 1. assign V296989 = V486869 + 1. assign V494365 = V149571 - 1. assign V817125 = V296989 + 1. assign V664635 = V527282. assign V329954 = V282866. assign V506452 = V046025 - 1. assign V529805 = V335599 + 1. assign V365581 = V196082. assign V209824 = V078731 + 1. assign V910771 = V955103 - 1. assign V677617 = V021235 + 1. assign V021235 = V529805. assign V475204 = V917957. assign V533460 = V335599 + 1. assign V739005 = V796495 + 1. assign V168789 = V486869 + 1. assign V649741 = V942934 + 1. assign V156598 = V520114 + 1. assign V124887 = V502666 - 1. assign V277589 = V529805 + 1. assign V796495 = V196082 + 1. assign V650268 = V944801 + 1. assign V911047 = V296989. assign V771892 = V282866 - 1. assign V051939 = V237663 + 1. assign V617297 = V494365 + 1. assign V046025 = V796495 + 1. assign V237663 = V739005 + 1. assign V316009 = V401472. assign V486869 = V335599 + 1. assign V934014 = V051939 - 1. assign V723310 = V739005 - 1. assign V735603 = V529805. assign V443161 = V277589. assign V127478 = V877854 - 1. assign V079033 = V533460 + 1. assign V958434 = V012708 - 1. assign V877854 = V090746. assign V196082 = V149571. assign V149571 = V335599 + 1. assign V888350 = V296989. assign V851249 = V677617 - 1. assign V527282 = V942934. assign V942934 = V486869. assign V704987 = V012708 + 1. assign V338521 = V649741. assign V056040 = V296821. assign V917957 = V520114. assign V541701 = V176341 + 1. assign V486363 = V649741 + 1. assign V078731 = V149571. assign V138637 = V475204. assign V955103 = V168789. assign V710734 = V012708 - 1. assign V520114 = V486869. assign V733560 = V102472 - 1. assign V615104 = V012708. assign V748895 = V529805 + 1. assign V807887 = V296989 - 1. assign V223611 = V176341 - 1. assign V307161 = V888350 - 1. assign V090746 = V992597 - 1. assign V454067 = V486869 + 1. assign V152815 = V992597 - 1. assign V944801 = V949218. assign V949218 = V277589. assign V755182 = V796495. assign V282866 = V149571 - 1. assign V102472 = V796495 - 1. assign V137365 = V079033 - 1. assign V296821 = 8. assign V795565 = V888350 - 1. assign V458633 = V196082 + 1. assign V906325 = V051939 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V221244 = V817125. assign V261876 = V944801 + 1. assign V012708 = V040228 + 1. assign V094528 = V911047 - 1. assign V176341 = V486869. assign V719242 = V748895 + 1. assign V502666 = V486869. assign V094358 = V817125 - 1. assign V040228 = V486869 + 1. assign V522373 = V176341 - 1. assign V992597 = V615104 + 1. assign V401472 = V944801 - 1. assign V296989 = V486869 + 1. assign V494365 = V149571 - 1. assign V817125 = V296989 + 1. assign V664635 = V527282. assign V329954 = V282866. assign V506452 = V046025 - 1. assign V529805 = V335599 + 1. assign V365581 = V196082. assign V209824 = V078731 + 1. assign V910771 = V955103 - 1. assign V677617 = V021235 + 1. assign V021235 = V529805. assign V475204 = V917957. assign V533460 = V335599 + 1. assign V739005 = V796495 + 1. assign V168789 = V486869 + 1. assign V649741 = V942934 + 1. assign V156598 = V520114 + 1. assign V124887 = V502666 - 1. assign V277589 = V529805 + 1. assign V796495 = V196082 + 1. assign V650268 = V944801 + 1. assign V911047 = V296989. assign V771892 = V282866 - 1. assign V051939 = V237663 + 1. assign V617297 = V494365 + 1. assign V046025 = V796495 + 1. assign V237663 = V739005 + 1. assign V316009 = V401472. assign V486869 = V335599 + 1. assign V934014 = V051939 - 1. assign V723310 = V739005 - 1. assign V735603 = V529805. assign V443161 = V277589. assign V127478 = V877854 - 1. assign V079033 = V533460 + 1. assign V958434 = V012708 - 1. assign V877854 = V090746. assign V196082 = V149571. assign V149571 = V335599 + 1. assign V888350 = V296989. assign V851249 = V677617 - 1. assign V527282 = V942934. assign V942934 = V486869. assign V704987 = V012708 + 1. assign V338521 = V649741. assign V056040 = V296821. assign V917957 = V520114. assign V541701 = V176341 + 1. assign V486363 = V649741 + 1. assign V078731 = V149571. assign V138637 = V475204. assign V955103 = V168789. assign V710734 = V012708 - 1. assign V520114 = V486869. assign V733560 = V102472 - 1. assign V615104 = V012708. assign V748895 = V529805 + 1. assign V807887 = V296989 - 1. assign V223611 = V176341 - 1. assign V307161 = V888350 - 1. assign V090746 = V992597 - 1. assign V454067 = V486869 + 1. assign V152815 = V992597 - 1. assign V944801 = V949218. assign V949218 = V277589. assign V755182 = V796495. assign V282866 = V149571 - 1. assign V102472 = V796495 - 1. assign V137365 = V079033 - 1. assign V296821 = 8. assign V795565 = V888350 - 1. assign V458633 = V196082 + 1. assign V906325 = V051939 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV296821 = 8;\n\nFrom these direct assignment(s), we have: \nV056040 = V296821 = 8;\nNo other variables can be derived from V056040;\nNo other variables can be derived from V296821;\n\nNow we have done all the calculations. Derived variables are:\nV296821 = 8;\nV056040 = 8;\n\nNow we have finished this problem. ANSWER:\nV296821, V056040\n", "role": "assistant" } ]

[ "V948608", "V843358" ]

[ { "content": "<context>\nassign V226223 = V788417 + 1. assign V431131 = V895212 + 1. assign V517841 = V869019 + 1. assign V373853 = V499183 + 1. assign V723835 = V451594 + 1. assign V826991 = V964513. assign V805740 = V617153 + 1. assign V180521 = V691758 - 1. assign V499183 = V584824 + 1. assign V919355 = V265385 + 1. assign V572414 = V584824 + 1. assign V378854 = V192986. assign V788417 = V509465. assign V483878 = V451594. assign V162582 = V192986 + 1. assign V404937 = V716515 + 1. assign V286943 = V843269 - 1. assign V773548 = V572414 - 1. assign V629873 = V584824 - 1. assign V451594 = V404937 - 1. assign V015783 = V737202. assign V777857 = V629873. assign V459194 = V956215 - 1. assign V712402 = V378589 - 1. assign V509465 = V451594 - 1. assign V408678 = V473888 + 1. assign V011019 = V172359 - 1. assign V488596 = V408678 + 1. assign V814753 = V031101 + 1. assign V521410 = V171281 + 1. assign V869019 = V286943 - 1. assign V956215 = V851469 - 1. assign V948608 = 0. assign V743475 = V737202. assign V172359 = V809214 - 1. assign V889140 = V827090. assign V718714 = V473888. assign V964513 = V175111 - 1. assign V827090 = V629873 + 1. assign V724282 = V404937 + 1. assign V789246 = V809214 + 1. assign V142673 = V286943. assign V691758 = V716515 + 1. assign V909394 = V162582. assign V217809 = V843269. assign V811140 = V805740 - 1. assign V378589 = V521410. assign V895212 = V788417 + 1. assign V737202 = V175111 - 1. assign V154780 = V784238. assign V113918 = V192986. assign V972176 = V809214 - 1. assign V318874 = V374634 - 1. assign V372525 = V843269 - 1. assign V851469 = V404937 + 1. assign V546197 = V473888. assign V617153 = V451594 + 1. assign V255421 = V192986. assign V809214 = V716515. assign V843358 = V948608. assign V031101 = V584824 + 1. assign V757040 = V483878 + 1. assign V101418 = V226223 + 1. assign V784238 = V809214 + 1. assign V183877 = V192986 - 1. assign V036254 = V521410 - 1. assign V881972 = V378854 - 1. assign V175111 = V716515 + 1. assign V578512 = V011019 + 1. assign V066507 = V286943 + 1. assign V192986 = V374634 + 1. assign V843269 = V572414 - 1. assign V594650 = V499183 - 1. assign V673366 = V335136. assign V171281 = V572414 - 1. assign V265385 = V851469. assign V353633 = V192986. assign V774154 = V789246 - 1. assign V335136 = V584824. assign V473888 = V372525 + 1. assign V298880 = V716515 + 1. assign V452719 = V142673. assign V468756 = V843269. assign V716515 = V584824 + 1. assign V374634 = V031101. assign V726738 = V113918 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V226223 = V788417 + 1. assign V431131 = V895212 + 1. assign V517841 = V869019 + 1. assign V373853 = V499183 + 1. assign V723835 = V451594 + 1. assign V826991 = V964513. assign V805740 = V617153 + 1. assign V180521 = V691758 - 1. assign V499183 = V584824 + 1. assign V919355 = V265385 + 1. assign V572414 = V584824 + 1. assign V378854 = V192986. assign V788417 = V509465. assign V483878 = V451594. assign V162582 = V192986 + 1. assign V404937 = V716515 + 1. assign V286943 = V843269 - 1. assign V773548 = V572414 - 1. assign V629873 = V584824 - 1. assign V451594 = V404937 - 1. assign V015783 = V737202. assign V777857 = V629873. assign V459194 = V956215 - 1. assign V712402 = V378589 - 1. assign V509465 = V451594 - 1. assign V408678 = V473888 + 1. assign V011019 = V172359 - 1. assign V488596 = V408678 + 1. assign V814753 = V031101 + 1. assign V521410 = V171281 + 1. assign V869019 = V286943 - 1. assign V956215 = V851469 - 1. assign V948608 = 0. assign V743475 = V737202. assign V172359 = V809214 - 1. assign V889140 = V827090. assign V718714 = V473888. assign V964513 = V175111 - 1. assign V827090 = V629873 + 1. assign V724282 = V404937 + 1. assign V789246 = V809214 + 1. assign V142673 = V286943. assign V691758 = V716515 + 1. assign V909394 = V162582. assign V217809 = V843269. assign V811140 = V805740 - 1. assign V378589 = V521410. assign V895212 = V788417 + 1. assign V737202 = V175111 - 1. assign V154780 = V784238. assign V113918 = V192986. assign V972176 = V809214 - 1. assign V318874 = V374634 - 1. assign V372525 = V843269 - 1. assign V851469 = V404937 + 1. assign V546197 = V473888. assign V617153 = V451594 + 1. assign V255421 = V192986. assign V809214 = V716515. assign V843358 = V948608. assign V031101 = V584824 + 1. assign V757040 = V483878 + 1. assign V101418 = V226223 + 1. assign V784238 = V809214 + 1. assign V183877 = V192986 - 1. assign V036254 = V521410 - 1. assign V881972 = V378854 - 1. assign V175111 = V716515 + 1. assign V578512 = V011019 + 1. assign V066507 = V286943 + 1. assign V192986 = V374634 + 1. assign V843269 = V572414 - 1. assign V594650 = V499183 - 1. assign V673366 = V335136. assign V171281 = V572414 - 1. assign V265385 = V851469. assign V353633 = V192986. assign V774154 = V789246 - 1. assign V335136 = V584824. assign V473888 = V372525 + 1. assign V298880 = V716515 + 1. assign V452719 = V142673. assign V468756 = V843269. assign V716515 = V584824 + 1. assign V374634 = V031101. assign V726738 = V113918 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV948608 = 0;\n\nFrom these direct assignment(s), we have: \nV843358 = V948608 = 0;\nNo other variables can be derived from V843358;\nNo other variables can be derived from V948608;\n\nNow we have done all the calculations. Derived variables are:\nV948608 = 0;\nV843358 = 0;\n\nNow we have finished this problem. ANSWER:\nV948608, V843358\n", "role": "assistant" } ]