Datasets:

---

suehyunpark

/

gsm_infinite_symbolic_1k

like 0

[ "V006868" ]

[ { "content": "<context>\nassign V780856 = V810568 + 1. assign V009343 = V334608. assign V197274 = V361849 - 1. assign V319045 = V478355. assign V775021 = V997898 + 1. assign V997898 = V431709 + 1. assign V905149 = V120142 + 1. assign V402273 = V464587. assign V479928 = V780856. assign V810568 = V431709 - 1. assign V169291 = V468824 - 1. assign V464587 = V468824. assign V094138 = V997898 + 1. assign V933796 = V006868 + 1. assign V876550 = V245260. assign V540303 = V506076 + 1. assign V891192 = V375876. assign V539966 = V402273. assign V242334 = V464587 - 1. assign V922870 = V678128 - 1. assign V375876 = V506076 - 1. assign V106201 = V219534 - 1. assign V698310 = V338497 + 1. assign V976801 = V082453 + 1. assign V478355 = V082453. assign V157188 = V476543. assign V173481 = V003219. assign V254493 = V009343 - 1. assign V245260 = V060997 + 1. assign V476543 = V976801. assign V703924 = V468824 + 1. assign V202270 = V730934 + 1. assign V678128 = V810568 - 1. assign V219534 = V197274. assign V839917 = V464587 + 1. assign V215696 = V810568. assign V862591 = V375876. assign V428471 = V339850 - 1. assign V146159 = V242334. assign V170575 = V197274 - 1. assign V956198 = V464587 - 1. assign V562413 = V810568 - 1. assign V120142 = V339850 - 1. assign V224416 = V775021. assign V832226 = V468824. assign V762161 = V810568. assign V170462 = V242334 + 1. assign V361849 = V468824. assign V947496 = V698310 - 1. assign V271868 = V170575 + 1. assign V875451 = V506076 - 1. assign V526492 = V339850 + 1. assign V334608 = V060997 + 1. assign V339850 = V468824. assign V855373 = V678128 + 1. assign V276331 = V775021 + 1. assign V082453 = V431709. assign V050608 = V242334 + 1. assign V947353 = V009343 + 1. assign V907204 = V361849 + 1. assign V899753 = V922870. assign V003219 = V245260 - 1. assign V506076 = V810568 + 1. assign V006868 = 6. assign V081629 = V003219 + 1. assign V833778 = V157188. assign V776734 = V402273. assign V203618 = V780856 + 1. assign V060997 = V082453. assign V032995 = V120142 + 1. assign V999665 = V094138 - 1. assign V295961 = V540303. assign V434886 = V295961 + 1. assign V554534 = V219534 + 1. assign V532857 = V272637. assign V730934 = V976801. assign V523906 = V402273 + 1. assign V710311 = V506076 - 1. assign V570572 = V060997 + 1. assign V468824 = V431709 + 1. assign V272637 = V060997. assign V002183 = V106201. assign V781269 = V050608 - 1. assign V558296 = V947496 + 1. assign V247597 = V334608. assign V338497 = V197274 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V780856 = V810568 + 1. assign V009343 = V334608. assign V197274 = V361849 - 1. assign V319045 = V478355. assign V775021 = V997898 + 1. assign V997898 = V431709 + 1. assign V905149 = V120142 + 1. assign V402273 = V464587. assign V479928 = V780856. assign V810568 = V431709 - 1. assign V169291 = V468824 - 1. assign V464587 = V468824. assign V094138 = V997898 + 1. assign V933796 = V006868 + 1. assign V876550 = V245260. assign V540303 = V506076 + 1. assign V891192 = V375876. assign V539966 = V402273. assign V242334 = V464587 - 1. assign V922870 = V678128 - 1. assign V375876 = V506076 - 1. assign V106201 = V219534 - 1. assign V698310 = V338497 + 1. assign V976801 = V082453 + 1. assign V478355 = V082453. assign V157188 = V476543. assign V173481 = V003219. assign V254493 = V009343 - 1. assign V245260 = V060997 + 1. assign V476543 = V976801. assign V703924 = V468824 + 1. assign V202270 = V730934 + 1. assign V678128 = V810568 - 1. assign V219534 = V197274. assign V839917 = V464587 + 1. assign V215696 = V810568. assign V862591 = V375876. assign V428471 = V339850 - 1. assign V146159 = V242334. assign V170575 = V197274 - 1. assign V956198 = V464587 - 1. assign V562413 = V810568 - 1. assign V120142 = V339850 - 1. assign V224416 = V775021. assign V832226 = V468824. assign V762161 = V810568. assign V170462 = V242334 + 1. assign V361849 = V468824. assign V947496 = V698310 - 1. assign V271868 = V170575 + 1. assign V875451 = V506076 - 1. assign V526492 = V339850 + 1. assign V334608 = V060997 + 1. assign V339850 = V468824. assign V855373 = V678128 + 1. assign V276331 = V775021 + 1. assign V082453 = V431709. assign V050608 = V242334 + 1. assign V947353 = V009343 + 1. assign V907204 = V361849 + 1. assign V899753 = V922870. assign V003219 = V245260 - 1. assign V506076 = V810568 + 1. assign V006868 = 6. assign V081629 = V003219 + 1. assign V833778 = V157188. assign V776734 = V402273. assign V203618 = V780856 + 1. assign V060997 = V082453. assign V032995 = V120142 + 1. assign V999665 = V094138 - 1. assign V295961 = V540303. assign V434886 = V295961 + 1. assign V554534 = V219534 + 1. assign V532857 = V272637. assign V730934 = V976801. assign V523906 = V402273 + 1. assign V710311 = V506076 - 1. assign V570572 = V060997 + 1. assign V468824 = V431709 + 1. assign V272637 = V060997. assign V002183 = V106201. assign V781269 = V050608 - 1. assign V558296 = V947496 + 1. assign V247597 = V334608. assign V338497 = V197274 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV006868 = 6;\n\nFrom these direct assignment(s), we have: \nV933796 = V006868 + 1 = 6 + 1 =7;\nNo other variables can be derived from V933796;\nNo other variables can be derived from V006868;\n\nNow we have done all the calculations. Derived variables are:\nV006868 = 6;\nV933796 = 7;\n\nNow we have finished this problem. ANSWER:\nV006868\n", "role": "assistant" } ]

[ "V584162", "V366211" ]

[ { "content": "<context>\nassign V203199 = V525740. assign V364793 = V060958. assign V799745 = V375715. assign V112303 = V662474 + 1. assign V505717 = V492071 + 1. assign V672385 = V471491. assign V122995 = V823042. assign V004117 = V492071 - 1. assign V471491 = V268191 - 1. assign V734431 = V845891 + 1. assign V675987 = V471491. assign V758423 = V110809 - 1. assign V031981 = V346160. assign V794429 = V448245 - 1. assign V911194 = V898957 + 1. assign V878612 = V659113 - 1. assign V869800 = V672385. assign V424487 = V375715 - 1. assign V823042 = V238819. assign V784393 = V346160. assign V374204 = V662474 + 1. assign V522467 = V467258 - 1. assign V336784 = V794429 + 1. assign V213201 = V746224 + 1. assign V478778 = V467258 - 1. assign V474308 = V343198 + 1. assign V581415 = V934924 + 1. assign V866685 = V346160. assign V385305 = V060958. assign V060958 = V760581. assign V659113 = V478997 - 1. assign V426031 = V268191. assign V177117 = V112303. assign V801496 = V662474 + 1. assign V768414 = V524850 + 1. assign V048806 = V659113 - 1. assign V525740 = V375715. assign V805815 = V505717 + 1. assign V980806 = V424487 - 1. assign V891458 = V375715 + 1. assign V818297 = V422297 - 1. assign V584162 = 9. assign V542269 = V794429 - 1. assign V478997 = V375715 - 1. assign V687817 = V505717. assign V773533 = V364793 + 1. assign V173722 = V799745. assign V120622 = V151757 - 1. assign V346160 = V374204 - 1. assign V122446 = V662474 + 1. assign V874471 = V522467 + 1. assign V464518 = V934924 + 1. assign V002586 = V675987 - 1. assign V845891 = V268191 - 1. assign V268191 = V375715. assign V492071 = V672385. assign V865734 = V470830. assign V760581 = V470830 - 1. assign V410890 = V542269 + 1. assign V174184 = V898957 + 1. assign V151757 = V268191. assign V329430 = V471491 - 1. assign V278447 = V492071 + 1. assign V870014 = V794429. assign V885555 = V662474 - 1. assign V224783 = V662474. assign V110809 = V151757 - 1. assign V470830 = V478997 - 1. assign V170641 = V662474 - 1. assign V662474 = V478997 + 1. assign V422297 = V885555. assign V898957 = V422297 - 1. assign V430359 = V934924 - 1. assign V343198 = V238819. assign V623449 = V522467 + 1. assign V934924 = V799745 - 1. assign V980055 = V672385 - 1. assign V710107 = V422297. assign V131260 = V934924 - 1. assign V605267 = V375715 + 1. assign V448245 = V151757. assign V746224 = V470830 - 1. assign V467258 = V662474. assign V238819 = V672385 - 1. assign V524850 = V471491 + 1. assign V366211 = V584162.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V203199 = V525740. assign V364793 = V060958. assign V799745 = V375715. assign V112303 = V662474 + 1. assign V505717 = V492071 + 1. assign V672385 = V471491. assign V122995 = V823042. assign V004117 = V492071 - 1. assign V471491 = V268191 - 1. assign V734431 = V845891 + 1. assign V675987 = V471491. assign V758423 = V110809 - 1. assign V031981 = V346160. assign V794429 = V448245 - 1. assign V911194 = V898957 + 1. assign V878612 = V659113 - 1. assign V869800 = V672385. assign V424487 = V375715 - 1. assign V823042 = V238819. assign V784393 = V346160. assign V374204 = V662474 + 1. assign V522467 = V467258 - 1. assign V336784 = V794429 + 1. assign V213201 = V746224 + 1. assign V478778 = V467258 - 1. assign V474308 = V343198 + 1. assign V581415 = V934924 + 1. assign V866685 = V346160. assign V385305 = V060958. assign V060958 = V760581. assign V659113 = V478997 - 1. assign V426031 = V268191. assign V177117 = V112303. assign V801496 = V662474 + 1. assign V768414 = V524850 + 1. assign V048806 = V659113 - 1. assign V525740 = V375715. assign V805815 = V505717 + 1. assign V980806 = V424487 - 1. assign V891458 = V375715 + 1. assign V818297 = V422297 - 1. assign V584162 = 9. assign V542269 = V794429 - 1. assign V478997 = V375715 - 1. assign V687817 = V505717. assign V773533 = V364793 + 1. assign V173722 = V799745. assign V120622 = V151757 - 1. assign V346160 = V374204 - 1. assign V122446 = V662474 + 1. assign V874471 = V522467 + 1. assign V464518 = V934924 + 1. assign V002586 = V675987 - 1. assign V845891 = V268191 - 1. assign V268191 = V375715. assign V492071 = V672385. assign V865734 = V470830. assign V760581 = V470830 - 1. assign V410890 = V542269 + 1. assign V174184 = V898957 + 1. assign V151757 = V268191. assign V329430 = V471491 - 1. assign V278447 = V492071 + 1. assign V870014 = V794429. assign V885555 = V662474 - 1. assign V224783 = V662474. assign V110809 = V151757 - 1. assign V470830 = V478997 - 1. assign V170641 = V662474 - 1. assign V662474 = V478997 + 1. assign V422297 = V885555. assign V898957 = V422297 - 1. assign V430359 = V934924 - 1. assign V343198 = V238819. assign V623449 = V522467 + 1. assign V934924 = V799745 - 1. assign V980055 = V672385 - 1. assign V710107 = V422297. assign V131260 = V934924 - 1. assign V605267 = V375715 + 1. assign V448245 = V151757. assign V746224 = V470830 - 1. assign V467258 = V662474. assign V238819 = V672385 - 1. assign V524850 = V471491 + 1. assign V366211 = V584162.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV584162 = 9;\n\nFrom these direct assignment(s), we have: \nV366211 = V584162 = 9;\nNo other variables can be derived from V366211;\nNo other variables can be derived from V584162;\n\nNow we have done all the calculations. Derived variables are:\nV584162 = 9;\nV366211 = 9;\n\nNow we have finished this problem. ANSWER:\nV584162, V366211\n", "role": "assistant" } ]

[ "V738441", "V771827" ]

[ { "content": "<context>\nassign V105907 = V598141. assign V367432 = V122754 + 1. assign V241029 = V608681 + 1. assign V476245 = V275453 - 1. assign V738441 = 2. assign V043074 = V373678 - 1. assign V400025 = V066906 + 1. assign V430978 = V217777 - 1. assign V445237 = V908897. assign V732792 = V043074. assign V373678 = V520844. assign V951896 = V217777. assign V758692 = V514836 - 1. assign V999804 = V122754 - 1. assign V753025 = V905181 + 1. assign V869223 = V122754 - 1. assign V140280 = V054774 + 1. assign V302698 = V217777 - 1. assign V597049 = V122754 + 1. assign V905181 = V807515 - 1. assign V216516 = V275453 - 1. assign V807515 = V908897 - 1. assign V902367 = V811985 + 1. assign V157062 = V553262. assign V977814 = V234990 - 1. assign V386931 = V275453 - 1. assign V619610 = V514836. assign V145122 = V367432. assign V553262 = V217777 + 1. assign V771827 = V738441. assign V479866 = V849228 - 1. assign V273934 = V078419. assign V837936 = V254976 + 1. assign V649068 = V373678 - 1. assign V866289 = V157062 + 1. assign V234990 = V905181. assign V520844 = V217777 + 1. assign V436925 = V598141 + 1. assign V598141 = V520844 + 1. assign V755393 = V923327 - 1. assign V557856 = V649068 - 1. assign V001207 = V755393. assign V067301 = V902367 + 1. assign V373765 = V373678 - 1. assign V726809 = V054774. assign V531056 = V520844. assign V021149 = V080086. assign V981890 = V849228. assign V923327 = V224636. assign V608681 = V755393 - 1. assign V535491 = V054774 - 1. assign V651104 = V908897 + 1. assign V944538 = V110359 - 1. assign V302064 = V514374. assign V040203 = V217777. assign V811985 = V275453. assign V110359 = V054774 + 1. assign V060954 = V864655 - 1. assign V275453 = V741250 - 1. assign V512208 = V224636. assign V903991 = V224636 - 1. assign V552875 = V078419. assign V864655 = V923327. assign V429931 = V811985 - 1. assign V679605 = V367432 + 1. assign V066906 = V905181. assign V224636 = V651104 + 1. assign V621742 = V552875. assign V091670 = V659729 + 1. assign V487832 = V849228 + 1. assign V741250 = V078419 + 1. assign V136745 = V367432. assign V078419 = V649068 + 1. assign V122754 = V520844 + 1. assign V283649 = V140280 - 1. assign V254976 = V651104. assign V379075 = V999804 + 1. assign V080086 = V903991 - 1. assign V217777 = V054774 + 1. assign V659729 = V140280 + 1. assign V961818 = V136745 - 1. assign V514836 = V157062 - 1. assign V032134 = V054774 + 1. assign V908897 = V217777. assign V849228 = V032134 - 1. assign V514374 = V849228 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V105907 = V598141. assign V367432 = V122754 + 1. assign V241029 = V608681 + 1. assign V476245 = V275453 - 1. assign V738441 = 2. assign V043074 = V373678 - 1. assign V400025 = V066906 + 1. assign V430978 = V217777 - 1. assign V445237 = V908897. assign V732792 = V043074. assign V373678 = V520844. assign V951896 = V217777. assign V758692 = V514836 - 1. assign V999804 = V122754 - 1. assign V753025 = V905181 + 1. assign V869223 = V122754 - 1. assign V140280 = V054774 + 1. assign V302698 = V217777 - 1. assign V597049 = V122754 + 1. assign V905181 = V807515 - 1. assign V216516 = V275453 - 1. assign V807515 = V908897 - 1. assign V902367 = V811985 + 1. assign V157062 = V553262. assign V977814 = V234990 - 1. assign V386931 = V275453 - 1. assign V619610 = V514836. assign V145122 = V367432. assign V553262 = V217777 + 1. assign V771827 = V738441. assign V479866 = V849228 - 1. assign V273934 = V078419. assign V837936 = V254976 + 1. assign V649068 = V373678 - 1. assign V866289 = V157062 + 1. assign V234990 = V905181. assign V520844 = V217777 + 1. assign V436925 = V598141 + 1. assign V598141 = V520844 + 1. assign V755393 = V923327 - 1. assign V557856 = V649068 - 1. assign V001207 = V755393. assign V067301 = V902367 + 1. assign V373765 = V373678 - 1. assign V726809 = V054774. assign V531056 = V520844. assign V021149 = V080086. assign V981890 = V849228. assign V923327 = V224636. assign V608681 = V755393 - 1. assign V535491 = V054774 - 1. assign V651104 = V908897 + 1. assign V944538 = V110359 - 1. assign V302064 = V514374. assign V040203 = V217777. assign V811985 = V275453. assign V110359 = V054774 + 1. assign V060954 = V864655 - 1. assign V275453 = V741250 - 1. assign V512208 = V224636. assign V903991 = V224636 - 1. assign V552875 = V078419. assign V864655 = V923327. assign V429931 = V811985 - 1. assign V679605 = V367432 + 1. assign V066906 = V905181. assign V224636 = V651104 + 1. assign V621742 = V552875. assign V091670 = V659729 + 1. assign V487832 = V849228 + 1. assign V741250 = V078419 + 1. assign V136745 = V367432. assign V078419 = V649068 + 1. assign V122754 = V520844 + 1. assign V283649 = V140280 - 1. assign V254976 = V651104. assign V379075 = V999804 + 1. assign V080086 = V903991 - 1. assign V217777 = V054774 + 1. assign V659729 = V140280 + 1. assign V961818 = V136745 - 1. assign V514836 = V157062 - 1. assign V032134 = V054774 + 1. assign V908897 = V217777. assign V849228 = V032134 - 1. assign V514374 = V849228 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV738441 = 2;\n\nFrom these direct assignment(s), we have: \nV771827 = V738441 = 2;\nNo other variables can be derived from V771827;\nNo other variables can be derived from V738441;\n\nNow we have done all the calculations. Derived variables are:\nV738441 = 2;\nV771827 = 2;\n\nNow we have finished this problem. ANSWER:\nV738441, V771827\n", "role": "assistant" } ]

[ "V177648" ]

[ { "content": "<context>\nassign V663421 = V637663 + 1. assign V822359 = V503320 - 1. assign V940082 = V882796 - 1. assign V838689 = V846524 - 1. assign V975008 = V418670 + 1. assign V177648 = 10. assign V272059 = V227036 + 1. assign V680087 = V132885 + 1. assign V069231 = V715904 + 1. assign V874932 = V124038 + 1. assign V087498 = V627123 + 1. assign V046809 = V715904 + 1. assign V862089 = V838689 + 1. assign V124038 = V812934. assign V951718 = V874932 - 1. assign V178779 = V106318. assign V846524 = V715904 - 1. assign V528101 = V947989. assign V095670 = V087498 - 1. assign V068952 = V812934 - 1. assign V743444 = V940082 - 1. assign V418670 = V590934 - 1. assign V947989 = V812934. assign V759205 = V177648 - 1. assign V363696 = V947989. assign V503320 = V822786 + 1. assign V013561 = V547220. assign V227036 = V069231 + 1. assign V345902 = V715904 - 1. assign V575527 = V345902. assign V381949 = V087498. assign V575552 = V147288 - 1. assign V447139 = V460144 - 1. assign V106318 = V975008 + 1. assign V812934 = V715904 + 1. assign V369851 = V147288 + 1. assign V808286 = V726612 + 1. assign V498952 = V546833. assign V095732 = V418670 + 1. assign V132885 = V726612 + 1. assign V944345 = V068952 + 1. assign V306464 = V546833 + 1. assign V822786 = V807074 + 1. assign V374252 = V227036 + 1. assign V440000 = V975008 + 1. assign V189297 = V951718 - 1. assign V917314 = V418670. assign V892752 = V089436 + 1. assign V882796 = V726612 + 1. assign V243712 = V562200 + 1. assign V460144 = V590934. assign V158179 = V698896. assign V595287 = V087498 + 1. assign V613234 = V046809 - 1. assign V820977 = V132885. assign V881300 = V892752 - 1. assign V637663 = V498952 + 1. assign V547220 = V715904 - 1. assign V486810 = V528101 - 1. assign V570796 = V715904. assign V130727 = V998396. assign V715904 = V726612 + 1. assign V065069 = V369851 + 1. assign V368317 = V087498. assign V627123 = V715904. assign V590934 = V384386 - 1. assign V680434 = V808286. assign V562200 = V460144 + 1. assign V147288 = V124038 + 1. assign V384386 = V726612 + 1. assign V797562 = V087498. assign V402664 = V369851 - 1. assign V889987 = V947989. assign V004174 = V627123. assign V768079 = V955288 - 1. assign V998396 = V106318 - 1. assign V089436 = V680087 + 1. assign V546833 = V345902 - 1. assign V675325 = V124038 + 1. assign V882551 = V132885 - 1. assign V673442 = V374252. assign V635869 = V675325. assign V807074 = V882796 + 1. assign V717519 = V106318 + 1. assign V698896 = V363696 - 1. assign V955288 = V698896.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V663421 = V637663 + 1. assign V822359 = V503320 - 1. assign V940082 = V882796 - 1. assign V838689 = V846524 - 1. assign V975008 = V418670 + 1. assign V177648 = 10. assign V272059 = V227036 + 1. assign V680087 = V132885 + 1. assign V069231 = V715904 + 1. assign V874932 = V124038 + 1. assign V087498 = V627123 + 1. assign V046809 = V715904 + 1. assign V862089 = V838689 + 1. assign V124038 = V812934. assign V951718 = V874932 - 1. assign V178779 = V106318. assign V846524 = V715904 - 1. assign V528101 = V947989. assign V095670 = V087498 - 1. assign V068952 = V812934 - 1. assign V743444 = V940082 - 1. assign V418670 = V590934 - 1. assign V947989 = V812934. assign V759205 = V177648 - 1. assign V363696 = V947989. assign V503320 = V822786 + 1. assign V013561 = V547220. assign V227036 = V069231 + 1. assign V345902 = V715904 - 1. assign V575527 = V345902. assign V381949 = V087498. assign V575552 = V147288 - 1. assign V447139 = V460144 - 1. assign V106318 = V975008 + 1. assign V812934 = V715904 + 1. assign V369851 = V147288 + 1. assign V808286 = V726612 + 1. assign V498952 = V546833. assign V095732 = V418670 + 1. assign V132885 = V726612 + 1. assign V944345 = V068952 + 1. assign V306464 = V546833 + 1. assign V822786 = V807074 + 1. assign V374252 = V227036 + 1. assign V440000 = V975008 + 1. assign V189297 = V951718 - 1. assign V917314 = V418670. assign V892752 = V089436 + 1. assign V882796 = V726612 + 1. assign V243712 = V562200 + 1. assign V460144 = V590934. assign V158179 = V698896. assign V595287 = V087498 + 1. assign V613234 = V046809 - 1. assign V820977 = V132885. assign V881300 = V892752 - 1. assign V637663 = V498952 + 1. assign V547220 = V715904 - 1. assign V486810 = V528101 - 1. assign V570796 = V715904. assign V130727 = V998396. assign V715904 = V726612 + 1. assign V065069 = V369851 + 1. assign V368317 = V087498. assign V627123 = V715904. assign V590934 = V384386 - 1. assign V680434 = V808286. assign V562200 = V460144 + 1. assign V147288 = V124038 + 1. assign V384386 = V726612 + 1. assign V797562 = V087498. assign V402664 = V369851 - 1. assign V889987 = V947989. assign V004174 = V627123. assign V768079 = V955288 - 1. assign V998396 = V106318 - 1. assign V089436 = V680087 + 1. assign V546833 = V345902 - 1. assign V675325 = V124038 + 1. assign V882551 = V132885 - 1. assign V673442 = V374252. assign V635869 = V675325. assign V807074 = V882796 + 1. assign V717519 = V106318 + 1. assign V698896 = V363696 - 1. assign V955288 = V698896.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV177648 = 10;\n\nFrom these direct assignment(s), we have: \nV759205 = V177648 - 1 = 10 - 1 =9;\nNo other variables can be derived from V759205;\nNo other variables can be derived from V177648;\n\nNow we have done all the calculations. Derived variables are:\nV177648 = 10;\nV759205 = 9;\n\nNow we have finished this problem. ANSWER:\nV177648\n", "role": "assistant" } ]

[ "V602719" ]

[ { "content": "<context>\nassign V565357 = V854462. assign V029822 = V410521. assign V315790 = V166766 + 1. assign V667077 = V062874 - 1. assign V175593 = V070833 + 1. assign V431623 = V854462 + 1. assign V670574 = V509444. assign V799184 = V854462 - 1. assign V434485 = V901171. assign V199434 = V583646. assign V051588 = V154065. assign V655729 = V070833 - 1. assign V811946 = V541622 + 1. assign V615352 = V467852 + 1. assign V564642 = V051588 + 1. assign V605415 = V473594. assign V728192 = V748774 - 1. assign V939509 = V402172 + 1. assign V377517 = V748774 + 1. assign V201232 = V894860. assign V389453 = V467852 + 1. assign V358100 = V901171 - 1. assign V890735 = V107457 + 1. assign V767602 = V848662 + 1. assign V166766 = V854462. assign V467852 = V473594 - 1. assign V796110 = V070833 - 1. assign V883625 = V131510 - 1. assign V492617 = V486463 - 1. assign V170701 = V560814. assign V644184 = V199434 + 1. assign V037600 = V431623 - 1. assign V947037 = V131510 - 1. assign V583646 = V131510 - 1. assign V565705 = V896497. assign V600215 = V605415. assign V158401 = 10. assign V596982 = V670574. assign V494283 = V541622 - 1. assign V311058 = V637071. assign V896497 = V854462 - 1. assign V154065 = V492617 - 1. assign V026619 = V767602 - 1. assign V509444 = V854462 + 1. assign V855571 = V854462. assign V108352 = V025126 + 1. assign V131510 = V492617 - 1. assign V541622 = V945290 + 1. assign V569842 = V848662 + 1. assign V940083 = V583646 + 1. assign V662765 = V509444 + 1. assign V637071 = V062874 + 1. assign V848662 = V854462. assign V132217 = V486463 - 1. assign V894860 = V389453 + 1. assign V087742 = V025126. assign V518800 = V767602. assign V820609 = V021829 - 1. assign V585582 = V486463. assign V473594 = V848662. assign V410521 = V025126. assign V973800 = V190500 + 1. assign V025126 = V583646 - 1. assign V773448 = V486463 - 1. assign V748774 = V087742 + 1. assign V615123 = V107457 + 1. assign V901171 = V486463. assign V748830 = V902449 - 1. assign V660276 = V600215 - 1. assign V107457 = V767602. assign V068636 = V767602 - 1. assign V421627 = V771964 + 1. assign V817845 = V896497 + 1. assign V560814 = V108352. assign V070833 = V848662 + 1. assign V854462 = V486463. assign V602719 = V158401 - 1. assign V902449 = V021829. assign V402172 = V190500 + 1. assign V021829 = V583646 - 1. assign V771964 = V748774 + 1. assign V945290 = V492617 + 1. assign V190500 = V583646 - 1. assign V062874 = V431623 + 1. assign V210562 = V896497 - 1. assign V114033 = V565357 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V565357 = V854462. assign V029822 = V410521. assign V315790 = V166766 + 1. assign V667077 = V062874 - 1. assign V175593 = V070833 + 1. assign V431623 = V854462 + 1. assign V670574 = V509444. assign V799184 = V854462 - 1. assign V434485 = V901171. assign V199434 = V583646. assign V051588 = V154065. assign V655729 = V070833 - 1. assign V811946 = V541622 + 1. assign V615352 = V467852 + 1. assign V564642 = V051588 + 1. assign V605415 = V473594. assign V728192 = V748774 - 1. assign V939509 = V402172 + 1. assign V377517 = V748774 + 1. assign V201232 = V894860. assign V389453 = V467852 + 1. assign V358100 = V901171 - 1. assign V890735 = V107457 + 1. assign V767602 = V848662 + 1. assign V166766 = V854462. assign V467852 = V473594 - 1. assign V796110 = V070833 - 1. assign V883625 = V131510 - 1. assign V492617 = V486463 - 1. assign V170701 = V560814. assign V644184 = V199434 + 1. assign V037600 = V431623 - 1. assign V947037 = V131510 - 1. assign V583646 = V131510 - 1. assign V565705 = V896497. assign V600215 = V605415. assign V158401 = 10. assign V596982 = V670574. assign V494283 = V541622 - 1. assign V311058 = V637071. assign V896497 = V854462 - 1. assign V154065 = V492617 - 1. assign V026619 = V767602 - 1. assign V509444 = V854462 + 1. assign V855571 = V854462. assign V108352 = V025126 + 1. assign V131510 = V492617 - 1. assign V541622 = V945290 + 1. assign V569842 = V848662 + 1. assign V940083 = V583646 + 1. assign V662765 = V509444 + 1. assign V637071 = V062874 + 1. assign V848662 = V854462. assign V132217 = V486463 - 1. assign V894860 = V389453 + 1. assign V087742 = V025126. assign V518800 = V767602. assign V820609 = V021829 - 1. assign V585582 = V486463. assign V473594 = V848662. assign V410521 = V025126. assign V973800 = V190500 + 1. assign V025126 = V583646 - 1. assign V773448 = V486463 - 1. assign V748774 = V087742 + 1. assign V615123 = V107457 + 1. assign V901171 = V486463. assign V748830 = V902449 - 1. assign V660276 = V600215 - 1. assign V107457 = V767602. assign V068636 = V767602 - 1. assign V421627 = V771964 + 1. assign V817845 = V896497 + 1. assign V560814 = V108352. assign V070833 = V848662 + 1. assign V854462 = V486463. assign V602719 = V158401 - 1. assign V902449 = V021829. assign V402172 = V190500 + 1. assign V021829 = V583646 - 1. assign V771964 = V748774 + 1. assign V945290 = V492617 + 1. assign V190500 = V583646 - 1. assign V062874 = V431623 + 1. assign V210562 = V896497 - 1. assign V114033 = V565357 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV158401 = 10;\n\nFrom these direct assignment(s), we have: \nV602719 = V158401 - 1 = 10 - 1 =9;\nNo other variables can be derived from V602719;\nNo other variables can be derived from V158401;\n\nNow we have done all the calculations. Derived variables are:\nV158401 = 10;\nV602719 = 9;\n\nNow we have finished this problem. ANSWER:\nV602719\n", "role": "assistant" } ]

[ "V304424" ]

[ { "content": "<context>\nassign V087491 = V675609 - 1. assign V166758 = V818590 + 1. assign V309847 = V194187 - 1. assign V084584 = V729975 + 1. assign V137035 = V250277. assign V327057 = V944597 - 1. assign V743674 = V375754. assign V144031 = V194187. assign V139161 = V948177 - 1. assign V342771 = V250277. assign V039256 = V057793. assign V944597 = V309847 - 1. assign V811491 = V290218. assign V037615 = V194187 + 1. assign V304424 = 8. assign V168054 = V461847 + 1. assign V418225 = V050707 + 1. assign V559449 = V271559. assign V571950 = V039256 + 1. assign V675609 = V917137. assign V889841 = V144031 + 1. assign V286437 = V166758 - 1. assign V321133 = V304424 + 1. assign V919225 = V300323. assign V879569 = V137035 + 1. assign V730365 = V821523. assign V290218 = V069560 - 1. assign V364220 = V144031. assign V971565 = V821523 - 1. assign V477434 = V416234 + 1. assign V932932 = V137035. assign V821523 = V194187. assign V379361 = V250277 - 1. assign V442195 = V693421 + 1. assign V522223 = V416234 + 1. assign V410150 = V476050 + 1. assign V870831 = V948177 + 1. assign V947562 = V291278 - 1. assign V176623 = V477434 + 1. assign V542102 = V693421 - 1. assign V917137 = V039256. assign V396068 = V442195 + 1. assign V476050 = V522223 - 1. assign V475245 = V948177 - 1. assign V416234 = V675609 - 1. assign V300323 = V166758. assign V375754 = V675609 - 1. assign V711740 = V442195 - 1. assign V194187 = V057793. assign V693421 = V039256 - 1. assign V291278 = V194187 - 1. assign V411422 = V970520. assign V250277 = V194187 - 1. assign V408974 = V605590 - 1. assign V912166 = V870831 - 1. assign V874954 = V889841. assign V294334 = V800021 + 1. assign V436661 = V379361 + 1. assign V493600 = V037615 + 1. assign V800021 = V250277 + 1. assign V845550 = V250277 - 1. assign V315392 = V379361 + 1. assign V729975 = V309847. assign V818590 = V917137 + 1. assign V191166 = V084584 - 1. assign V113211 = V948177 - 1. assign V970520 = V461847 - 1. assign V276552 = V250277 + 1. assign V320737 = V087491. assign V948177 = V917137 + 1. assign V271559 = V408974. assign V057793 = V221755. assign V605590 = V917137 + 1. assign V487578 = V693421. assign V222639 = V294334. assign V089290 = V364220. assign V050707 = V512730 - 1. assign V765411 = V139161 + 1. assign V512730 = V917137 + 1. assign V243439 = V971565 + 1. assign V215743 = V948177 + 1. assign V384596 = V947562. assign V146806 = V821523 + 1. assign V906526 = V477434. assign V461847 = V221755 - 1. assign V069560 = V309847 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V087491 = V675609 - 1. assign V166758 = V818590 + 1. assign V309847 = V194187 - 1. assign V084584 = V729975 + 1. assign V137035 = V250277. assign V327057 = V944597 - 1. assign V743674 = V375754. assign V144031 = V194187. assign V139161 = V948177 - 1. assign V342771 = V250277. assign V039256 = V057793. assign V944597 = V309847 - 1. assign V811491 = V290218. assign V037615 = V194187 + 1. assign V304424 = 8. assign V168054 = V461847 + 1. assign V418225 = V050707 + 1. assign V559449 = V271559. assign V571950 = V039256 + 1. assign V675609 = V917137. assign V889841 = V144031 + 1. assign V286437 = V166758 - 1. assign V321133 = V304424 + 1. assign V919225 = V300323. assign V879569 = V137035 + 1. assign V730365 = V821523. assign V290218 = V069560 - 1. assign V364220 = V144031. assign V971565 = V821523 - 1. assign V477434 = V416234 + 1. assign V932932 = V137035. assign V821523 = V194187. assign V379361 = V250277 - 1. assign V442195 = V693421 + 1. assign V522223 = V416234 + 1. assign V410150 = V476050 + 1. assign V870831 = V948177 + 1. assign V947562 = V291278 - 1. assign V176623 = V477434 + 1. assign V542102 = V693421 - 1. assign V917137 = V039256. assign V396068 = V442195 + 1. assign V476050 = V522223 - 1. assign V475245 = V948177 - 1. assign V416234 = V675609 - 1. assign V300323 = V166758. assign V375754 = V675609 - 1. assign V711740 = V442195 - 1. assign V194187 = V057793. assign V693421 = V039256 - 1. assign V291278 = V194187 - 1. assign V411422 = V970520. assign V250277 = V194187 - 1. assign V408974 = V605590 - 1. assign V912166 = V870831 - 1. assign V874954 = V889841. assign V294334 = V800021 + 1. assign V436661 = V379361 + 1. assign V493600 = V037615 + 1. assign V800021 = V250277 + 1. assign V845550 = V250277 - 1. assign V315392 = V379361 + 1. assign V729975 = V309847. assign V818590 = V917137 + 1. assign V191166 = V084584 - 1. assign V113211 = V948177 - 1. assign V970520 = V461847 - 1. assign V276552 = V250277 + 1. assign V320737 = V087491. assign V948177 = V917137 + 1. assign V271559 = V408974. assign V057793 = V221755. assign V605590 = V917137 + 1. assign V487578 = V693421. assign V222639 = V294334. assign V089290 = V364220. assign V050707 = V512730 - 1. assign V765411 = V139161 + 1. assign V512730 = V917137 + 1. assign V243439 = V971565 + 1. assign V215743 = V948177 + 1. assign V384596 = V947562. assign V146806 = V821523 + 1. assign V906526 = V477434. assign V461847 = V221755 - 1. assign V069560 = V309847 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV304424 = 8;\n\nFrom these direct assignment(s), we have: \nV321133 = V304424 + 1 = 8 + 1 =9;\nNo other variables can be derived from V321133;\nNo other variables can be derived from V304424;\n\nNow we have done all the calculations. Derived variables are:\nV304424 = 8;\nV321133 = 9;\n\nNow we have finished this problem. ANSWER:\nV304424\n", "role": "assistant" } ]

[ "V799197" ]

[ { "content": "<context>\nassign V763380 = V998075 + 1. assign V423727 = V187751 - 1. assign V118259 = V217015 + 1. assign V750133 = V217015 + 1. assign V182571 = V093747. assign V093747 = V486826 + 1. assign V714525 = V635159. assign V731605 = V182571 + 1. assign V760233 = V486826 + 1. assign V462603 = V364894. assign V447571 = V430813 + 1. assign V645651 = V486826 + 1. assign V288255 = V612160. assign V652018 = V398394 - 1. assign V364894 = V750133 + 1. assign V893784 = V543060. assign V384888 = V121153. assign V409023 = V182571. assign V486826 = V271689. assign V187751 = V361394. assign V465094 = V462603 - 1. assign V367907 = V486826. assign V361394 = V217015 - 1. assign V708420 = V740403 - 1. assign V740403 = V612160 + 1. assign V715958 = V430813. assign V271689 = V005698. assign V016495 = V402228 + 1. assign V402228 = V276776 - 1. assign V969607 = V438161. assign V231907 = V436695 + 1. assign V752489 = V486826. assign V553588 = V423727 - 1. assign V438161 = V462603 - 1. assign V436695 = V750133 + 1. assign V754907 = V053260 - 1. assign V688995 = V438161 - 1. assign V209471 = V799197 + 1. assign V556782 = V998075 - 1. assign V062916 = V121153. assign V239124 = V688995. assign V549529 = V276776 + 1. assign V987276 = V894188. assign V208558 = V998075 + 1. assign V552354 = V271689 - 1. assign V462424 = V062916. assign V398394 = V486826. assign V119694 = V688995 + 1. assign V346751 = V276776 + 1. assign V217015 = V005698. assign V852112 = V920328 + 1. assign V103735 = V367907 - 1. assign V799197 = 0. assign V848257 = V103735 - 1. assign V025720 = V976642 + 1. assign V321408 = V398394 - 1. assign V120148 = V976642. assign V035261 = V364894 - 1. assign V745383 = V053260 - 1. assign V145541 = V612160 + 1. assign V984823 = V969607 - 1. assign V461897 = V954674 - 1. assign V856287 = V750133. assign V998075 = V612160 - 1. assign V976642 = V652278 - 1. assign V247797 = V053260 + 1. assign V121153 = V005698 + 1. assign V690496 = V187751 - 1. assign V612160 = V217015 - 1. assign V152635 = V209246. assign V571988 = V217015 - 1. assign V894188 = V465094 - 1. assign V276776 = V217015 + 1. assign V635159 = V528433 + 1. assign V221856 = V217015. assign V209246 = V121153. assign V954674 = V920328 + 1. assign V896303 = V288255. assign V920328 = V752489. assign V053260 = V217015. assign V652278 = V239124. assign V543060 = V398394 + 1. assign V528433 = V752489 + 1. assign V938555 = V438161. assign V430813 = V271689 - 1. assign V036042 = V208558.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V763380 = V998075 + 1. assign V423727 = V187751 - 1. assign V118259 = V217015 + 1. assign V750133 = V217015 + 1. assign V182571 = V093747. assign V093747 = V486826 + 1. assign V714525 = V635159. assign V731605 = V182571 + 1. assign V760233 = V486826 + 1. assign V462603 = V364894. assign V447571 = V430813 + 1. assign V645651 = V486826 + 1. assign V288255 = V612160. assign V652018 = V398394 - 1. assign V364894 = V750133 + 1. assign V893784 = V543060. assign V384888 = V121153. assign V409023 = V182571. assign V486826 = V271689. assign V187751 = V361394. assign V465094 = V462603 - 1. assign V367907 = V486826. assign V361394 = V217015 - 1. assign V708420 = V740403 - 1. assign V740403 = V612160 + 1. assign V715958 = V430813. assign V271689 = V005698. assign V016495 = V402228 + 1. assign V402228 = V276776 - 1. assign V969607 = V438161. assign V231907 = V436695 + 1. assign V752489 = V486826. assign V553588 = V423727 - 1. assign V438161 = V462603 - 1. assign V436695 = V750133 + 1. assign V754907 = V053260 - 1. assign V688995 = V438161 - 1. assign V209471 = V799197 + 1. assign V556782 = V998075 - 1. assign V062916 = V121153. assign V239124 = V688995. assign V549529 = V276776 + 1. assign V987276 = V894188. assign V208558 = V998075 + 1. assign V552354 = V271689 - 1. assign V462424 = V062916. assign V398394 = V486826. assign V119694 = V688995 + 1. assign V346751 = V276776 + 1. assign V217015 = V005698. assign V852112 = V920328 + 1. assign V103735 = V367907 - 1. assign V799197 = 0. assign V848257 = V103735 - 1. assign V025720 = V976642 + 1. assign V321408 = V398394 - 1. assign V120148 = V976642. assign V035261 = V364894 - 1. assign V745383 = V053260 - 1. assign V145541 = V612160 + 1. assign V984823 = V969607 - 1. assign V461897 = V954674 - 1. assign V856287 = V750133. assign V998075 = V612160 - 1. assign V976642 = V652278 - 1. assign V247797 = V053260 + 1. assign V121153 = V005698 + 1. assign V690496 = V187751 - 1. assign V612160 = V217015 - 1. assign V152635 = V209246. assign V571988 = V217015 - 1. assign V894188 = V465094 - 1. assign V276776 = V217015 + 1. assign V635159 = V528433 + 1. assign V221856 = V217015. assign V209246 = V121153. assign V954674 = V920328 + 1. assign V896303 = V288255. assign V920328 = V752489. assign V053260 = V217015. assign V652278 = V239124. assign V543060 = V398394 + 1. assign V528433 = V752489 + 1. assign V938555 = V438161. assign V430813 = V271689 - 1. assign V036042 = V208558.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV799197 = 0;\n\nFrom these direct assignment(s), we have: \nV209471 = V799197 + 1 = 0 + 1 =1;\nNo other variables can be derived from V209471;\nNo other variables can be derived from V799197;\n\nNow we have done all the calculations. Derived variables are:\nV799197 = 0;\nV209471 = 1;\n\nNow we have finished this problem. ANSWER:\nV799197\n", "role": "assistant" } ]

[ "V437787", "V363078" ]

[ { "content": "<context>\nassign V186205 = V453470 + 1. assign V340449 = V499648 - 1. assign V428703 = V182068 - 1. assign V751253 = V234821. assign V561300 = V428703. assign V601044 = V186205. assign V365907 = V418364. assign V602864 = V499648 - 1. assign V915972 = V219407. assign V234821 = V861712 + 1. assign V965732 = V980189 + 1. assign V412262 = V601044 + 1. assign V556549 = V412262. assign V658296 = V751253. assign V300559 = V453470 + 1. assign V357066 = V412262 + 1. assign V983999 = V285228 - 1. assign V285228 = V060633 + 1. assign V011088 = V476724 + 1. assign V437787 = 0. assign V339550 = V412262 + 1. assign V890881 = V453470 + 1. assign V789354 = V759743 - 1. assign V980189 = V667579 - 1. assign V356368 = V446918. assign V446918 = V388823. assign V499648 = V904111 - 1. assign V051266 = V561300 + 1. assign V427935 = V861712 - 1. assign V403217 = V861712. assign V919440 = V946386. assign V158375 = V861712 + 1. assign V935488 = V357066. assign V873036 = V831717. assign V182068 = V935488 - 1. assign V141493 = V751253 - 1. assign V407008 = V234821. assign V080034 = V311072 - 1. assign V310528 = V388823 - 1. assign V453470 = V904111 - 1. assign V831717 = V412262 - 1. assign V746817 = V675338 - 1. assign V047725 = V418364. assign V825924 = V311072 - 1. assign V592598 = V831717. assign V210716 = V339550 + 1. assign V522515 = V873036 - 1. assign V755747 = V751253 + 1. assign V336435 = V831717 - 1. assign V839221 = V651060 - 1. assign V946386 = V963462 - 1. assign V861712 = V172530. assign V775032 = V336435. assign V590623 = V060633 + 1. assign V830908 = V844868 - 1. assign V418364 = V904111 - 1. assign V890471 = V653317 - 1. assign V086975 = V080034 + 1. assign V719222 = V339550. assign V675338 = V357066 - 1. assign V388823 = V601044 - 1. assign V172530 = V418364 - 1. assign V219407 = V412262 - 1. assign V651060 = V601044. assign V329993 = V418364. assign V109025 = V348324. assign V844868 = V388823 - 1. assign V354773 = V719222 - 1. assign V230679 = V311072. assign V348324 = V980189 + 1. assign V552689 = V210716 + 1. assign V624471 = V845141 - 1. assign V909973 = V904111 + 1. assign V667579 = V651060 - 1. assign V683327 = V919440. assign V759743 = V839221 + 1. assign V286031 = V219407 - 1. assign V311072 = V446918 + 1. assign V845141 = V904111 - 1. assign V060633 = V904111 - 1. assign V332225 = V963462. assign V476724 = V412262. assign V846645 = V182068. assign V363078 = V437787. assign V963462 = V186205 - 1. assign V653317 = V336435 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V186205 = V453470 + 1. assign V340449 = V499648 - 1. assign V428703 = V182068 - 1. assign V751253 = V234821. assign V561300 = V428703. assign V601044 = V186205. assign V365907 = V418364. assign V602864 = V499648 - 1. assign V915972 = V219407. assign V234821 = V861712 + 1. assign V965732 = V980189 + 1. assign V412262 = V601044 + 1. assign V556549 = V412262. assign V658296 = V751253. assign V300559 = V453470 + 1. assign V357066 = V412262 + 1. assign V983999 = V285228 - 1. assign V285228 = V060633 + 1. assign V011088 = V476724 + 1. assign V437787 = 0. assign V339550 = V412262 + 1. assign V890881 = V453470 + 1. assign V789354 = V759743 - 1. assign V980189 = V667579 - 1. assign V356368 = V446918. assign V446918 = V388823. assign V499648 = V904111 - 1. assign V051266 = V561300 + 1. assign V427935 = V861712 - 1. assign V403217 = V861712. assign V919440 = V946386. assign V158375 = V861712 + 1. assign V935488 = V357066. assign V873036 = V831717. assign V182068 = V935488 - 1. assign V141493 = V751253 - 1. assign V407008 = V234821. assign V080034 = V311072 - 1. assign V310528 = V388823 - 1. assign V453470 = V904111 - 1. assign V831717 = V412262 - 1. assign V746817 = V675338 - 1. assign V047725 = V418364. assign V825924 = V311072 - 1. assign V592598 = V831717. assign V210716 = V339550 + 1. assign V522515 = V873036 - 1. assign V755747 = V751253 + 1. assign V336435 = V831717 - 1. assign V839221 = V651060 - 1. assign V946386 = V963462 - 1. assign V861712 = V172530. assign V775032 = V336435. assign V590623 = V060633 + 1. assign V830908 = V844868 - 1. assign V418364 = V904111 - 1. assign V890471 = V653317 - 1. assign V086975 = V080034 + 1. assign V719222 = V339550. assign V675338 = V357066 - 1. assign V388823 = V601044 - 1. assign V172530 = V418364 - 1. assign V219407 = V412262 - 1. assign V651060 = V601044. assign V329993 = V418364. assign V109025 = V348324. assign V844868 = V388823 - 1. assign V354773 = V719222 - 1. assign V230679 = V311072. assign V348324 = V980189 + 1. assign V552689 = V210716 + 1. assign V624471 = V845141 - 1. assign V909973 = V904111 + 1. assign V667579 = V651060 - 1. assign V683327 = V919440. assign V759743 = V839221 + 1. assign V286031 = V219407 - 1. assign V311072 = V446918 + 1. assign V845141 = V904111 - 1. assign V060633 = V904111 - 1. assign V332225 = V963462. assign V476724 = V412262. assign V846645 = V182068. assign V363078 = V437787. assign V963462 = V186205 - 1. assign V653317 = V336435 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV437787 = 0;\n\nFrom these direct assignment(s), we have: \nV363078 = V437787 = 0;\nNo other variables can be derived from V363078;\nNo other variables can be derived from V437787;\n\nNow we have done all the calculations. Derived variables are:\nV437787 = 0;\nV363078 = 0;\n\nNow we have finished this problem. ANSWER:\nV437787, V363078\n", "role": "assistant" } ]

[ "V932816" ]

[ { "content": "<context>\nassign V193865 = V291735. assign V703910 = V364953 - 1. assign V209601 = V559292 + 1. assign V784975 = V318876. assign V713450 = V334756 + 1. assign V104065 = V029209 + 1. assign V762796 = V900242. assign V760762 = V318876 - 1. assign V911546 = V588024 - 1. assign V559292 = V291735 + 1. assign V358320 = V666748 + 1. assign V517343 = V449648. assign V008109 = V449648 - 1. assign V690682 = V069086. assign V848041 = V193865. assign V958437 = V995407. assign V357702 = V193865 - 1. assign V837492 = V318876 - 1. assign V375767 = V364953 - 1. assign V855659 = V848041 + 1. assign V390676 = V624041. assign V747635 = V689059 - 1. assign V900242 = V209601 + 1. assign V689059 = V559292 - 1. assign V037336 = V747635 - 1. assign V745327 = V104065. assign V056992 = V713450 + 1. assign V770772 = V173184. assign V489055 = V334756 - 1. assign V318876 = V237222 - 1. assign V083248 = V837492 + 1. assign V699599 = V452583 - 1. assign V449648 = V334756. assign V247047 = V489055 + 1. assign V666748 = V193865 + 1. assign V344240 = V117701 + 1. assign V987642 = V357702 + 1. assign V517933 = V358320 + 1. assign V928147 = V008109 - 1. assign V237222 = V551085 - 1. assign V649689 = V551085 - 1. assign V868056 = V029209 + 1. assign V173184 = V848041. assign V334756 = V995407 + 1. assign V069086 = V649689 - 1. assign V439544 = V762796 - 1. assign V552608 = V921569 - 1. assign V998241 = V636767. assign V802762 = V784975. assign V997090 = V624041 + 1. assign V837433 = V318876 - 1. assign V474255 = V054164 - 1. assign V253182 = V559292 + 1. assign V084438 = V318876 - 1. assign V519358 = V364953 + 1. assign V336669 = V237222. assign V855458 = V247047 - 1. assign V612229 = V982464 - 1. assign V921569 = V069086 - 1. assign V225656 = V237222 + 1. assign V162962 = V559292 - 1. assign V624041 = V559292. assign V029209 = V551085 + 1. assign V477367 = V747635 + 1. assign V728161 = 10. assign V588024 = V357702 + 1. assign V995407 = V291735 + 1. assign V982464 = V375767 + 1. assign V452583 = V689059 - 1. assign V179761 = V837492. assign V271688 = V666748 - 1. assign V932816 = V728161 + 1. assign V117701 = V253182 - 1. assign V497405 = V785997. assign V364953 = V029209 - 1. assign V054164 = V551085 + 1. assign V778193 = V104065 - 1. assign V636767 = V703910 - 1. assign V382912 = V747635. assign V836191 = V247047. assign V785997 = V997090 + 1. assign V327936 = V997090 + 1. assign V050912 = V008109 + 1. assign V235616 = V291735. assign V212196 = V982464 - 1. assign V551085 = V291735 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 11.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V193865 = V291735. assign V703910 = V364953 - 1. assign V209601 = V559292 + 1. assign V784975 = V318876. assign V713450 = V334756 + 1. assign V104065 = V029209 + 1. assign V762796 = V900242. assign V760762 = V318876 - 1. assign V911546 = V588024 - 1. assign V559292 = V291735 + 1. assign V358320 = V666748 + 1. assign V517343 = V449648. assign V008109 = V449648 - 1. assign V690682 = V069086. assign V848041 = V193865. assign V958437 = V995407. assign V357702 = V193865 - 1. assign V837492 = V318876 - 1. assign V375767 = V364953 - 1. assign V855659 = V848041 + 1. assign V390676 = V624041. assign V747635 = V689059 - 1. assign V900242 = V209601 + 1. assign V689059 = V559292 - 1. assign V037336 = V747635 - 1. assign V745327 = V104065. assign V056992 = V713450 + 1. assign V770772 = V173184. assign V489055 = V334756 - 1. assign V318876 = V237222 - 1. assign V083248 = V837492 + 1. assign V699599 = V452583 - 1. assign V449648 = V334756. assign V247047 = V489055 + 1. assign V666748 = V193865 + 1. assign V344240 = V117701 + 1. assign V987642 = V357702 + 1. assign V517933 = V358320 + 1. assign V928147 = V008109 - 1. assign V237222 = V551085 - 1. assign V649689 = V551085 - 1. assign V868056 = V029209 + 1. assign V173184 = V848041. assign V334756 = V995407 + 1. assign V069086 = V649689 - 1. assign V439544 = V762796 - 1. assign V552608 = V921569 - 1. assign V998241 = V636767. assign V802762 = V784975. assign V997090 = V624041 + 1. assign V837433 = V318876 - 1. assign V474255 = V054164 - 1. assign V253182 = V559292 + 1. assign V084438 = V318876 - 1. assign V519358 = V364953 + 1. assign V336669 = V237222. assign V855458 = V247047 - 1. assign V612229 = V982464 - 1. assign V921569 = V069086 - 1. assign V225656 = V237222 + 1. assign V162962 = V559292 - 1. assign V624041 = V559292. assign V029209 = V551085 + 1. assign V477367 = V747635 + 1. assign V728161 = 10. assign V588024 = V357702 + 1. assign V995407 = V291735 + 1. assign V982464 = V375767 + 1. assign V452583 = V689059 - 1. assign V179761 = V837492. assign V271688 = V666748 - 1. assign V932816 = V728161 + 1. assign V117701 = V253182 - 1. assign V497405 = V785997. assign V364953 = V029209 - 1. assign V054164 = V551085 + 1. assign V778193 = V104065 - 1. assign V636767 = V703910 - 1. assign V382912 = V747635. assign V836191 = V247047. assign V785997 = V997090 + 1. assign V327936 = V997090 + 1. assign V050912 = V008109 + 1. assign V235616 = V291735. assign V212196 = V982464 - 1. assign V551085 = V291735 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 11.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV728161 = 10;\n\nFrom these direct assignment(s), we have: \nV932816 = V728161 + 1 = 10 + 1 =11;\nNo other variables can be derived from V932816;\nNo other variables can be derived from V728161;\n\nNow we have done all the calculations. Derived variables are:\nV728161 = 10;\nV932816 = 11;\n\nNow we have finished this problem. ANSWER:\nV932816\n", "role": "assistant" } ]

[ "V967390" ]

[ { "content": "<context>\nassign V354873 = V721264 + 1. assign V592914 = V359217. assign V493312 = V359217 - 1. assign V331894 = V818581 - 1. assign V926559 = V822512 - 1. assign V689166 = V887776 + 1. assign V414456 = V183700 - 1. assign V489444 = V949432 - 1. assign V792320 = V715593 + 1. assign V517881 = V721264 - 1. assign V899436 = V792320 - 1. assign V368930 = V245056 - 1. assign V653735 = V286686 + 1. assign V174696 = V954654 - 1. assign V980573 = V713778. assign V751866 = V926559 + 1. assign V610808 = V949432. assign V460563 = V503453 + 1. assign V301926 = V949432. assign V816754 = V732201 - 1. assign V233677 = V732201 + 1. assign V849774 = V592914. assign V039861 = V949432. assign V667177 = V544246 - 1. assign V663116 = V489444 - 1. assign V532875 = V689166 - 1. assign V359217 = V245056. assign V251577 = V943722. assign V732201 = V694068 + 1. assign V671510 = V822512. assign V694068 = V368930 + 1. assign V544246 = V887776 + 1. assign V217342 = V033824. assign V661691 = V229988 + 1. assign V967390 = V749092 + 1. assign V134161 = V887776 + 1. assign V743228 = V134161 + 1. assign V539298 = V134161. assign V263175 = V949432 - 1. assign V361992 = V715593. assign V721264 = V887776. assign V350583 = V743228 - 1. assign V819376 = V368930 + 1. assign V818581 = V789893 + 1. assign V509447 = V884828. assign V286686 = V954654 + 1. assign V954654 = V887776 - 1. assign V884828 = V721264 - 1. assign V203313 = V354873 - 1. assign V424439 = V592914. assign V238995 = V359217. assign V943722 = V626433 - 1. assign V713778 = V954654 + 1. assign V135891 = V229988. assign V382224 = V626433. assign V489503 = V849774 - 1. assign V887776 = V871262. assign V749092 = 1. assign V722250 = V849774. assign V229988 = V884828 - 1. assign V715593 = V871262. assign V015244 = V663116 - 1. assign V017604 = V350583 + 1. assign V033824 = V792320 - 1. assign V773725 = V626433 - 1. assign V202702 = V544246. assign V245056 = V715593 + 1. assign V949432 = V134161 - 1. assign V744515 = V732201 + 1. assign V362725 = V822512 + 1. assign V391184 = V134161. assign V789893 = V134161 - 1. assign V183700 = V350583. assign V417224 = V015244 - 1. assign V647212 = V721264 - 1. assign V466595 = V134161 + 1. assign V087527 = V954654. assign V337803 = V233677. assign V791154 = V167915. assign V167915 = V301926. assign V106541 = V871262. assign V822512 = V949432. assign V617549 = V610808 - 1. assign V503453 = V663116. assign V626433 = V368930 + 1. assign V497144 = V884828.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V354873 = V721264 + 1. assign V592914 = V359217. assign V493312 = V359217 - 1. assign V331894 = V818581 - 1. assign V926559 = V822512 - 1. assign V689166 = V887776 + 1. assign V414456 = V183700 - 1. assign V489444 = V949432 - 1. assign V792320 = V715593 + 1. assign V517881 = V721264 - 1. assign V899436 = V792320 - 1. assign V368930 = V245056 - 1. assign V653735 = V286686 + 1. assign V174696 = V954654 - 1. assign V980573 = V713778. assign V751866 = V926559 + 1. assign V610808 = V949432. assign V460563 = V503453 + 1. assign V301926 = V949432. assign V816754 = V732201 - 1. assign V233677 = V732201 + 1. assign V849774 = V592914. assign V039861 = V949432. assign V667177 = V544246 - 1. assign V663116 = V489444 - 1. assign V532875 = V689166 - 1. assign V359217 = V245056. assign V251577 = V943722. assign V732201 = V694068 + 1. assign V671510 = V822512. assign V694068 = V368930 + 1. assign V544246 = V887776 + 1. assign V217342 = V033824. assign V661691 = V229988 + 1. assign V967390 = V749092 + 1. assign V134161 = V887776 + 1. assign V743228 = V134161 + 1. assign V539298 = V134161. assign V263175 = V949432 - 1. assign V361992 = V715593. assign V721264 = V887776. assign V350583 = V743228 - 1. assign V819376 = V368930 + 1. assign V818581 = V789893 + 1. assign V509447 = V884828. assign V286686 = V954654 + 1. assign V954654 = V887776 - 1. assign V884828 = V721264 - 1. assign V203313 = V354873 - 1. assign V424439 = V592914. assign V238995 = V359217. assign V943722 = V626433 - 1. assign V713778 = V954654 + 1. assign V135891 = V229988. assign V382224 = V626433. assign V489503 = V849774 - 1. assign V887776 = V871262. assign V749092 = 1. assign V722250 = V849774. assign V229988 = V884828 - 1. assign V715593 = V871262. assign V015244 = V663116 - 1. assign V017604 = V350583 + 1. assign V033824 = V792320 - 1. assign V773725 = V626433 - 1. assign V202702 = V544246. assign V245056 = V715593 + 1. assign V949432 = V134161 - 1. assign V744515 = V732201 + 1. assign V362725 = V822512 + 1. assign V391184 = V134161. assign V789893 = V134161 - 1. assign V183700 = V350583. assign V417224 = V015244 - 1. assign V647212 = V721264 - 1. assign V466595 = V134161 + 1. assign V087527 = V954654. assign V337803 = V233677. assign V791154 = V167915. assign V167915 = V301926. assign V106541 = V871262. assign V822512 = V949432. assign V617549 = V610808 - 1. assign V503453 = V663116. assign V626433 = V368930 + 1. assign V497144 = V884828.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV749092 = 1;\n\nFrom these direct assignment(s), we have: \nV967390 = V749092 + 1 = 1 + 1 =2;\nNo other variables can be derived from V967390;\nNo other variables can be derived from V749092;\n\nNow we have done all the calculations. Derived variables are:\nV749092 = 1;\nV967390 = 2;\n\nNow we have finished this problem. ANSWER:\nV967390\n", "role": "assistant" } ]

[ "V986090" ]

[ { "content": "<context>\nassign V545446 = V373807 + 1. assign V856837 = V671162 - 1. assign V104461 = V512128 + 1. assign V098861 = V895622 - 1. assign V472320 = V009921 + 1. assign V173448 = V675592 - 1. assign V328728 = V264920 + 1. assign V694346 = V789343 + 1. assign V151675 = V983667 + 1. assign V699459 = V264920 - 1. assign V221726 = V986090 + 1. assign V155701 = V253923 + 1. assign V543583 = V950606 - 1. assign V749951 = V745485. assign V111354 = V512128 - 1. assign V219442 = V909468 + 1. assign V789343 = V953186 + 1. assign V375239 = V705197 - 1. assign V320208 = V776135. assign V360132 = V291636 - 1. assign V512128 = V543687 + 1. assign V709094 = V745485 + 1. assign V520775 = V866414 + 1. assign V968076 = V847569 - 1. assign V171952 = V328728. assign V212374 = V847569 - 1. assign V527548 = V592826 + 1. assign V898653 = V104461. assign V520622 = V745485. assign V262983 = V898653. assign V253923 = V009921. assign V745485 = V543687 + 1. assign V866414 = V694346 + 1. assign V291636 = V749951. assign V929406 = V328728. assign V677154 = V063149 - 1. assign V264920 = V009921. assign V983667 = V512128. assign V628318 = V520622. assign V806795 = V375239. assign V013751 = V964098. assign V847569 = V675592 + 1. assign V373807 = V856837 + 1. assign V458076 = V671162 + 1. assign V288173 = V964098 - 1. assign V986090 = 10. assign V218135 = V866414. assign V063149 = V671162. assign V406206 = V709094. assign V953186 = V868119 - 1. assign V760358 = V350509 - 1. assign V698782 = V745485 - 1. assign V740859 = V592826 - 1. assign V624270 = V698782. assign V653927 = V400542 + 1. assign V909468 = V543687 + 1. assign V341455 = V543687 + 1. assign V916646 = V543687 + 1. assign V805369 = V749951. assign V776135 = V868119 - 1. assign V964098 = V950606 - 1. assign V350509 = V458076 + 1. assign V119632 = V291636 + 1. assign V058793 = V789343 - 1. assign V369854 = V545446. assign V705197 = V868119. assign V483213 = V705197 - 1. assign V083245 = V219442 - 1. assign V671162 = V264920 - 1. assign V400542 = V698782 + 1. assign V675592 = V157041 - 1. assign V875745 = V671162 - 1. assign V362901 = V699459 + 1. assign V157041 = V543687 - 1. assign V950606 = V749951 - 1. assign V547649 = V699459 - 1. assign V951034 = V789343 - 1. assign V868119 = V543687. assign V498498 = V212374 - 1. assign V496207 = V805369 - 1. assign V699397 = V677154 + 1. assign V235650 = V458076. assign V592826 = V157041. assign V009921 = V950606 + 1. assign V457212 = V806795. assign V895622 = V375239 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V545446 = V373807 + 1. assign V856837 = V671162 - 1. assign V104461 = V512128 + 1. assign V098861 = V895622 - 1. assign V472320 = V009921 + 1. assign V173448 = V675592 - 1. assign V328728 = V264920 + 1. assign V694346 = V789343 + 1. assign V151675 = V983667 + 1. assign V699459 = V264920 - 1. assign V221726 = V986090 + 1. assign V155701 = V253923 + 1. assign V543583 = V950606 - 1. assign V749951 = V745485. assign V111354 = V512128 - 1. assign V219442 = V909468 + 1. assign V789343 = V953186 + 1. assign V375239 = V705197 - 1. assign V320208 = V776135. assign V360132 = V291636 - 1. assign V512128 = V543687 + 1. assign V709094 = V745485 + 1. assign V520775 = V866414 + 1. assign V968076 = V847569 - 1. assign V171952 = V328728. assign V212374 = V847569 - 1. assign V527548 = V592826 + 1. assign V898653 = V104461. assign V520622 = V745485. assign V262983 = V898653. assign V253923 = V009921. assign V745485 = V543687 + 1. assign V866414 = V694346 + 1. assign V291636 = V749951. assign V929406 = V328728. assign V677154 = V063149 - 1. assign V264920 = V009921. assign V983667 = V512128. assign V628318 = V520622. assign V806795 = V375239. assign V013751 = V964098. assign V847569 = V675592 + 1. assign V373807 = V856837 + 1. assign V458076 = V671162 + 1. assign V288173 = V964098 - 1. assign V986090 = 10. assign V218135 = V866414. assign V063149 = V671162. assign V406206 = V709094. assign V953186 = V868119 - 1. assign V760358 = V350509 - 1. assign V698782 = V745485 - 1. assign V740859 = V592826 - 1. assign V624270 = V698782. assign V653927 = V400542 + 1. assign V909468 = V543687 + 1. assign V341455 = V543687 + 1. assign V916646 = V543687 + 1. assign V805369 = V749951. assign V776135 = V868119 - 1. assign V964098 = V950606 - 1. assign V350509 = V458076 + 1. assign V119632 = V291636 + 1. assign V058793 = V789343 - 1. assign V369854 = V545446. assign V705197 = V868119. assign V483213 = V705197 - 1. assign V083245 = V219442 - 1. assign V671162 = V264920 - 1. assign V400542 = V698782 + 1. assign V675592 = V157041 - 1. assign V875745 = V671162 - 1. assign V362901 = V699459 + 1. assign V157041 = V543687 - 1. assign V950606 = V749951 - 1. assign V547649 = V699459 - 1. assign V951034 = V789343 - 1. assign V868119 = V543687. assign V498498 = V212374 - 1. assign V496207 = V805369 - 1. assign V699397 = V677154 + 1. assign V235650 = V458076. assign V592826 = V157041. assign V009921 = V950606 + 1. assign V457212 = V806795. assign V895622 = V375239 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV986090 = 10;\n\nFrom these direct assignment(s), we have: \nV221726 = V986090 + 1 = 10 + 1 =11;\nNo other variables can be derived from V221726;\nNo other variables can be derived from V986090;\n\nNow we have done all the calculations. Derived variables are:\nV986090 = 10;\nV221726 = 11;\n\nNow we have finished this problem. ANSWER:\nV986090\n", "role": "assistant" } ]

[ "V191573", "V859329" ]

[ { "content": "<context>\nassign V174651 = V537557 - 1. assign V062624 = V456511. assign V009401 = V307562 - 1. assign V549426 = V511456. assign V139178 = V672525 - 1. assign V068834 = V129372. assign V767040 = V007477 - 1. assign V067389 = V064300 + 1. assign V887211 = V757521 - 1. assign V963654 = V796687 - 1. assign V868605 = V177003. assign V381092 = V064300 + 1. assign V423394 = V743950 - 1. assign V853995 = V337155. assign V274977 = V511456 + 1. assign V437169 = V796687 + 1. assign V594699 = V840395 + 1. assign V442188 = V946360 - 1. assign V072217 = V841242 + 1. assign V841242 = V946360 + 1. assign V657067 = V841242 + 1. assign V418882 = V469377. assign V582573 = V763261 - 1. assign V456511 = V139178 + 1. assign V011531 = V129372. assign V796687 = V064300. assign V511456 = V763261. assign V876664 = V064300 - 1. assign V757521 = V437169 - 1. assign V652686 = V406659 - 1. assign V337155 = V129372 - 1. assign V466718 = V763261 - 1. assign V865870 = V253841 - 1. assign V083041 = V594699 - 1. assign V064300 = V946360 - 1. assign V145466 = V582573 - 1. assign V007477 = V946360 - 1. assign V469377 = V918409. assign V763261 = V959041 + 1. assign V366151 = V511456. assign V746663 = V549426 + 1. assign V838692 = V672525 - 1. assign V319566 = V511456 + 1. assign V060130 = V796687 + 1. assign V825357 = V011531 - 1. assign V743950 = V537557 - 1. assign V918409 = V274977 + 1. assign V611847 = V841242 - 1. assign V177003 = V253841. assign V433780 = V657067. assign V680702 = V582573. assign V191573 = 9. assign V629874 = V016971. assign V505677 = V825357. assign V621550 = V274977. assign V946360 = V129372 + 1. assign V522216 = V743950 - 1. assign V531456 = V570161. assign V672525 = V129372 + 1. assign V678647 = V274977. assign V129372 = V763261. assign V759829 = V433780. assign V753859 = V072217 + 1. assign V521887 = V840395 - 1. assign V681425 = V582573 - 1. assign V307562 = V319566 - 1. assign V990353 = V759829 + 1. assign V840395 = V511456 + 1. assign V692294 = V840395. assign V379452 = V139178 + 1. assign V432399 = V763261 - 1. assign V129133 = V064300 + 1. assign V253841 = V876664 - 1. assign V016971 = V337155. assign V139464 = V681425 - 1. assign V924887 = V174651. assign V207591 = V963654. assign V406659 = V959041. assign V502897 = V437169 + 1. assign V859329 = V191573. assign V570161 = V072217 + 1. assign V525650 = V946360 - 1. assign V039600 = V129372. assign V515695 = V139178 - 1. assign V537557 = V466718. assign V693348 = V796687.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V174651 = V537557 - 1. assign V062624 = V456511. assign V009401 = V307562 - 1. assign V549426 = V511456. assign V139178 = V672525 - 1. assign V068834 = V129372. assign V767040 = V007477 - 1. assign V067389 = V064300 + 1. assign V887211 = V757521 - 1. assign V963654 = V796687 - 1. assign V868605 = V177003. assign V381092 = V064300 + 1. assign V423394 = V743950 - 1. assign V853995 = V337155. assign V274977 = V511456 + 1. assign V437169 = V796687 + 1. assign V594699 = V840395 + 1. assign V442188 = V946360 - 1. assign V072217 = V841242 + 1. assign V841242 = V946360 + 1. assign V657067 = V841242 + 1. assign V418882 = V469377. assign V582573 = V763261 - 1. assign V456511 = V139178 + 1. assign V011531 = V129372. assign V796687 = V064300. assign V511456 = V763261. assign V876664 = V064300 - 1. assign V757521 = V437169 - 1. assign V652686 = V406659 - 1. assign V337155 = V129372 - 1. assign V466718 = V763261 - 1. assign V865870 = V253841 - 1. assign V083041 = V594699 - 1. assign V064300 = V946360 - 1. assign V145466 = V582573 - 1. assign V007477 = V946360 - 1. assign V469377 = V918409. assign V763261 = V959041 + 1. assign V366151 = V511456. assign V746663 = V549426 + 1. assign V838692 = V672525 - 1. assign V319566 = V511456 + 1. assign V060130 = V796687 + 1. assign V825357 = V011531 - 1. assign V743950 = V537557 - 1. assign V918409 = V274977 + 1. assign V611847 = V841242 - 1. assign V177003 = V253841. assign V433780 = V657067. assign V680702 = V582573. assign V191573 = 9. assign V629874 = V016971. assign V505677 = V825357. assign V621550 = V274977. assign V946360 = V129372 + 1. assign V522216 = V743950 - 1. assign V531456 = V570161. assign V672525 = V129372 + 1. assign V678647 = V274977. assign V129372 = V763261. assign V759829 = V433780. assign V753859 = V072217 + 1. assign V521887 = V840395 - 1. assign V681425 = V582573 - 1. assign V307562 = V319566 - 1. assign V990353 = V759829 + 1. assign V840395 = V511456 + 1. assign V692294 = V840395. assign V379452 = V139178 + 1. assign V432399 = V763261 - 1. assign V129133 = V064300 + 1. assign V253841 = V876664 - 1. assign V016971 = V337155. assign V139464 = V681425 - 1. assign V924887 = V174651. assign V207591 = V963654. assign V406659 = V959041. assign V502897 = V437169 + 1. assign V859329 = V191573. assign V570161 = V072217 + 1. assign V525650 = V946360 - 1. assign V039600 = V129372. assign V515695 = V139178 - 1. assign V537557 = V466718. assign V693348 = V796687.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV191573 = 9;\n\nFrom these direct assignment(s), we have: \nV859329 = V191573 = 9;\nNo other variables can be derived from V859329;\nNo other variables can be derived from V191573;\n\nNow we have done all the calculations. Derived variables are:\nV191573 = 9;\nV859329 = 9;\n\nNow we have finished this problem. ANSWER:\nV191573, V859329\n", "role": "assistant" } ]

[ "V676458" ]

[ { "content": "<context>\nassign V412704 = V788075 - 1. assign V317209 = V485118 - 1. assign V665018 = V577408 - 1. assign V045534 = V746909 + 1. assign V028869 = V637718. assign V392633 = V509967. assign V821802 = V726837 - 1. assign V580420 = V957317 + 1. assign V025323 = V827773 + 1. assign V084392 = V676458 + 1. assign V700000 = V637718 + 1. assign V845545 = V957317 + 1. assign V926662 = V637718. assign V116284 = V187961 + 1. assign V957317 = V286591 + 1. assign V308793 = V827773 + 1. assign V094465 = V577408 + 1. assign V002182 = V187961. assign V746959 = V711970. assign V746909 = V629839 + 1. assign V684099 = V480186 - 1. assign V578081 = V629839 - 1. assign V056036 = V061637. assign V779056 = V286591. assign V122047 = V726837 + 1. assign V335292 = V586421 + 1. assign V286591 = V740028 - 1. assign V260109 = V310988. assign V495163 = V329635 - 1. assign V014890 = V094465 - 1. assign V122752 = V509967. assign V363766 = V197844. assign V685811 = V555906. assign V193453 = V122752 + 1. assign V310988 = V957317 + 1. assign V329635 = V577408 + 1. assign V287151 = V766357. assign V663724 = V061637 + 1. assign V808680 = V265443. assign V442961 = V957317 - 1. assign V496531 = V509967 + 1. assign V061637 = V746909 + 1. assign V555906 = V197922 - 1. assign V676458 = 6. assign V788075 = V746909 + 1. assign V197922 = V187961 - 1. assign V265443 = V746909 + 1. assign V740028 = V629839 + 1. assign V327733 = V778130. assign V607913 = V609111. assign V187961 = V509967 + 1. assign V900126 = V740028. assign V988406 = V286591 - 1. assign V852473 = V308793 - 1. assign V766357 = V577408 - 1. assign V711970 = V072570 - 1. assign V327819 = V396544 - 1. assign V160134 = V740028 + 1. assign V577408 = V740028. assign V629839 = V480186. assign V831375 = V926662 - 1. assign V799831 = V831375 + 1. assign V778130 = V555906 - 1. assign V637718 = V072570 - 1. assign V727295 = V360151. assign V250868 = V808680 + 1. assign V609111 = V926662 + 1. assign V016817 = V684099 + 1. assign V868788 = V778130. assign V396544 = V788075 - 1. assign V827773 = V509967 - 1. assign V054068 = V663724 + 1. assign V371574 = V578081 - 1. assign V586421 = V852473 + 1. assign V987783 = V586421 + 1. assign V485118 = V022635. assign V106085 = V265443. assign V509967 = V480186. assign V197844 = V740028 - 1. assign V072570 = V509967. assign V022635 = V577408 + 1. assign V271281 = V286591. assign V726837 = V900126 + 1. assign V471116 = V778130 - 1. assign V620958 = V122752 + 1. assign V360151 = V496531 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V412704 = V788075 - 1. assign V317209 = V485118 - 1. assign V665018 = V577408 - 1. assign V045534 = V746909 + 1. assign V028869 = V637718. assign V392633 = V509967. assign V821802 = V726837 - 1. assign V580420 = V957317 + 1. assign V025323 = V827773 + 1. assign V084392 = V676458 + 1. assign V700000 = V637718 + 1. assign V845545 = V957317 + 1. assign V926662 = V637718. assign V116284 = V187961 + 1. assign V957317 = V286591 + 1. assign V308793 = V827773 + 1. assign V094465 = V577408 + 1. assign V002182 = V187961. assign V746959 = V711970. assign V746909 = V629839 + 1. assign V684099 = V480186 - 1. assign V578081 = V629839 - 1. assign V056036 = V061637. assign V779056 = V286591. assign V122047 = V726837 + 1. assign V335292 = V586421 + 1. assign V286591 = V740028 - 1. assign V260109 = V310988. assign V495163 = V329635 - 1. assign V014890 = V094465 - 1. assign V122752 = V509967. assign V363766 = V197844. assign V685811 = V555906. assign V193453 = V122752 + 1. assign V310988 = V957317 + 1. assign V329635 = V577408 + 1. assign V287151 = V766357. assign V663724 = V061637 + 1. assign V808680 = V265443. assign V442961 = V957317 - 1. assign V496531 = V509967 + 1. assign V061637 = V746909 + 1. assign V555906 = V197922 - 1. assign V676458 = 6. assign V788075 = V746909 + 1. assign V197922 = V187961 - 1. assign V265443 = V746909 + 1. assign V740028 = V629839 + 1. assign V327733 = V778130. assign V607913 = V609111. assign V187961 = V509967 + 1. assign V900126 = V740028. assign V988406 = V286591 - 1. assign V852473 = V308793 - 1. assign V766357 = V577408 - 1. assign V711970 = V072570 - 1. assign V327819 = V396544 - 1. assign V160134 = V740028 + 1. assign V577408 = V740028. assign V629839 = V480186. assign V831375 = V926662 - 1. assign V799831 = V831375 + 1. assign V778130 = V555906 - 1. assign V637718 = V072570 - 1. assign V727295 = V360151. assign V250868 = V808680 + 1. assign V609111 = V926662 + 1. assign V016817 = V684099 + 1. assign V868788 = V778130. assign V396544 = V788075 - 1. assign V827773 = V509967 - 1. assign V054068 = V663724 + 1. assign V371574 = V578081 - 1. assign V586421 = V852473 + 1. assign V987783 = V586421 + 1. assign V485118 = V022635. assign V106085 = V265443. assign V509967 = V480186. assign V197844 = V740028 - 1. assign V072570 = V509967. assign V022635 = V577408 + 1. assign V271281 = V286591. assign V726837 = V900126 + 1. assign V471116 = V778130 - 1. assign V620958 = V122752 + 1. assign V360151 = V496531 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV676458 = 6;\n\nFrom these direct assignment(s), we have: \nV084392 = V676458 + 1 = 6 + 1 =7;\nNo other variables can be derived from V084392;\nNo other variables can be derived from V676458;\n\nNow we have done all the calculations. Derived variables are:\nV676458 = 6;\nV084392 = 7;\n\nNow we have finished this problem. ANSWER:\nV676458\n", "role": "assistant" } ]

[ "V674558" ]

[ { "content": "<context>\nassign V439181 = V524045. assign V811111 = V423640 - 1. assign V278279 = V233854 + 1. assign V177632 = V426490 - 1. assign V255106 = V847071. assign V524824 = V808378. assign V426490 = V624467. assign V482762 = V423640. assign V098475 = V966243. assign V833079 = V624467 - 1. assign V548631 = V524824 - 1. assign V979527 = V524045 - 1. assign V423640 = V808378 - 1. assign V489580 = V276504 - 1. assign V044765 = V808378. assign V262419 = V289338. assign V206059 = V482762 - 1. assign V981125 = V674558 - 1. assign V035049 = V088110 - 1. assign V424753 = V040238. assign V520454 = V015239 + 1. assign V040238 = V920878 + 1. assign V846076 = V088110 + 1. assign V972157 = V426490. assign V551380 = V886635 - 1. assign V994676 = V846076 + 1. assign V820353 = V369066. assign V423527 = V323986. assign V205550 = V015239 - 1. assign V624211 = V425193 - 1. assign V523986 = V262419. assign V019799 = V465552 - 1. assign V338939 = V624467. assign V849955 = V881618. assign V524045 = V044765 + 1. assign V317860 = V811111 + 1. assign V439818 = V846076 + 1. assign V394562 = V262419. assign V588065 = V255106. assign V445096 = V920878 + 1. assign V139897 = V808378 - 1. assign V368961 = V338939 - 1. assign V159158 = V846076 + 1. assign V125413 = V423527 + 1. assign V917553 = V040238. assign V369066 = V014764. assign V365999 = V994676. assign V886635 = V482762 - 1. assign V425193 = V920878. assign V510747 = V423640. assign V241820 = V624467. assign V881618 = V035049 + 1. assign V088110 = V014764 - 1. assign V674558 = 2. assign V826668 = V278279 - 1. assign V469163 = V241820 + 1. assign V323986 = V445096. assign V407435 = V424753 - 1. assign V085598 = V994676. assign V827515 = V510747. assign V511850 = V276504 - 1. assign V091511 = V811111. assign V287912 = V846076 - 1. assign V920878 = V524824. assign V077472 = V233854 + 1. assign V289338 = V080439 + 1. assign V447211 = V979527. assign V015239 = V098475 + 1. assign V209512 = V524824 - 1. assign V823998 = V510747. assign V080439 = V035049. assign V797843 = V426490 + 1. assign V465552 = V886635 - 1. assign V014764 = V808378 + 1. assign V055360 = V338939 - 1. assign V481066 = V811111 - 1. assign V896694 = V447211 - 1. assign V624467 = V548631. assign V764622 = V369066 - 1. assign V966243 = V510747 + 1. assign V335710 = V548631 + 1. assign V690429 = V524824 + 1. assign V233854 = V849955. assign V847071 = V920878 - 1. assign V172927 = V510747. assign V276504 = V088110.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V439181 = V524045. assign V811111 = V423640 - 1. assign V278279 = V233854 + 1. assign V177632 = V426490 - 1. assign V255106 = V847071. assign V524824 = V808378. assign V426490 = V624467. assign V482762 = V423640. assign V098475 = V966243. assign V833079 = V624467 - 1. assign V548631 = V524824 - 1. assign V979527 = V524045 - 1. assign V423640 = V808378 - 1. assign V489580 = V276504 - 1. assign V044765 = V808378. assign V262419 = V289338. assign V206059 = V482762 - 1. assign V981125 = V674558 - 1. assign V035049 = V088110 - 1. assign V424753 = V040238. assign V520454 = V015239 + 1. assign V040238 = V920878 + 1. assign V846076 = V088110 + 1. assign V972157 = V426490. assign V551380 = V886635 - 1. assign V994676 = V846076 + 1. assign V820353 = V369066. assign V423527 = V323986. assign V205550 = V015239 - 1. assign V624211 = V425193 - 1. assign V523986 = V262419. assign V019799 = V465552 - 1. assign V338939 = V624467. assign V849955 = V881618. assign V524045 = V044765 + 1. assign V317860 = V811111 + 1. assign V439818 = V846076 + 1. assign V394562 = V262419. assign V588065 = V255106. assign V445096 = V920878 + 1. assign V139897 = V808378 - 1. assign V368961 = V338939 - 1. assign V159158 = V846076 + 1. assign V125413 = V423527 + 1. assign V917553 = V040238. assign V369066 = V014764. assign V365999 = V994676. assign V886635 = V482762 - 1. assign V425193 = V920878. assign V510747 = V423640. assign V241820 = V624467. assign V881618 = V035049 + 1. assign V088110 = V014764 - 1. assign V674558 = 2. assign V826668 = V278279 - 1. assign V469163 = V241820 + 1. assign V323986 = V445096. assign V407435 = V424753 - 1. assign V085598 = V994676. assign V827515 = V510747. assign V511850 = V276504 - 1. assign V091511 = V811111. assign V287912 = V846076 - 1. assign V920878 = V524824. assign V077472 = V233854 + 1. assign V289338 = V080439 + 1. assign V447211 = V979527. assign V015239 = V098475 + 1. assign V209512 = V524824 - 1. assign V823998 = V510747. assign V080439 = V035049. assign V797843 = V426490 + 1. assign V465552 = V886635 - 1. assign V014764 = V808378 + 1. assign V055360 = V338939 - 1. assign V481066 = V811111 - 1. assign V896694 = V447211 - 1. assign V624467 = V548631. assign V764622 = V369066 - 1. assign V966243 = V510747 + 1. assign V335710 = V548631 + 1. assign V690429 = V524824 + 1. assign V233854 = V849955. assign V847071 = V920878 - 1. assign V172927 = V510747. assign V276504 = V088110.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV674558 = 2;\n\nFrom these direct assignment(s), we have: \nV981125 = V674558 - 1 = 2 - 1 =1;\nNo other variables can be derived from V981125;\nNo other variables can be derived from V674558;\n\nNow we have done all the calculations. Derived variables are:\nV674558 = 2;\nV981125 = 1;\n\nNow we have finished this problem. ANSWER:\nV674558\n", "role": "assistant" } ]

[ "V691711", "V602544" ]

[ { "content": "<context>\nassign V696274 = V173372. assign V161614 = V058148 + 1. assign V333723 = V381923 - 1. assign V098442 = V027189. assign V024210 = V967696. assign V154664 = V952562 + 1. assign V332129 = V301160. assign V027189 = V129319 - 1. assign V941757 = V080553 + 1. assign V129319 = V026890 + 1. assign V189149 = V687091 - 1. assign V519353 = V044331. assign V026890 = V204058 + 1. assign V301160 = V044331. assign V300052 = V165606 + 1. assign V304439 = V680873 - 1. assign V395382 = V495035 - 1. assign V967696 = V332129. assign V634903 = V952562. assign V631797 = V288697. assign V653527 = V996982 - 1. assign V133425 = V332129 - 1. assign V830542 = V288697. assign V165606 = V301160 - 1. assign V465855 = V703080 + 1. assign V658681 = V133425. assign V826431 = V877465 - 1. assign V058148 = V015466 - 1. assign V950522 = V044331 + 1. assign V731709 = V519353. assign V948783 = V058148 + 1. assign V497404 = V996982 + 1. assign V923337 = V830542 - 1. assign V639862 = V519353 + 1. assign V420094 = V058148 + 1. assign V731754 = V631797 - 1. assign V901247 = V030269 + 1. assign V877465 = V129319 - 1. assign V999000 = V703080. assign V064852 = V027189 - 1. assign V495035 = V301160 - 1. assign V952562 = V301160. assign V080553 = V731754 + 1. assign V381923 = V129319 + 1. assign V030269 = V300052 - 1. assign V703080 = V044331 + 1. assign V315634 = V687091 - 1. assign V139575 = V044331 + 1. assign V993249 = V098442 + 1. assign V365444 = V173372 + 1. assign V725096 = V026890 + 1. assign V721363 = V288697 + 1. assign V220045 = V941757 - 1. assign V204058 = V465855 - 1. assign V182432 = V142491. assign V701410 = V068285 - 1. assign V337025 = V288697 + 1. assign V254077 = V027189 - 1. assign V198791 = V529212 - 1. assign V208874 = V083953 - 1. assign V696563 = V027189 + 1. assign V602544 = V691711. assign V288697 = V950522 - 1. assign V083953 = V950522 - 1. assign V196718 = V830542 + 1. assign V688774 = V332129. assign V687091 = V495035 + 1. assign V903962 = V950522 + 1. assign V284870 = V026890 - 1. assign V980110 = V300052 - 1. assign V173372 = V142491. assign V781359 = V925514 - 1. assign V068285 = V658681 + 1. assign V529212 = V142491 + 1. assign V098848 = V903962. assign V996982 = V139575 + 1. assign V691711 = 10. assign V680873 = V999000. assign V905030 = V996982. assign V940564 = V495035. assign V142491 = V288697 + 1. assign V732717 = V980110 + 1. assign V925514 = V142491. assign V282612 = V139575 - 1. assign V833155 = V080553 + 1. assign V015466 = V639862.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V696274 = V173372. assign V161614 = V058148 + 1. assign V333723 = V381923 - 1. assign V098442 = V027189. assign V024210 = V967696. assign V154664 = V952562 + 1. assign V332129 = V301160. assign V027189 = V129319 - 1. assign V941757 = V080553 + 1. assign V129319 = V026890 + 1. assign V189149 = V687091 - 1. assign V519353 = V044331. assign V026890 = V204058 + 1. assign V301160 = V044331. assign V300052 = V165606 + 1. assign V304439 = V680873 - 1. assign V395382 = V495035 - 1. assign V967696 = V332129. assign V634903 = V952562. assign V631797 = V288697. assign V653527 = V996982 - 1. assign V133425 = V332129 - 1. assign V830542 = V288697. assign V165606 = V301160 - 1. assign V465855 = V703080 + 1. assign V658681 = V133425. assign V826431 = V877465 - 1. assign V058148 = V015466 - 1. assign V950522 = V044331 + 1. assign V731709 = V519353. assign V948783 = V058148 + 1. assign V497404 = V996982 + 1. assign V923337 = V830542 - 1. assign V639862 = V519353 + 1. assign V420094 = V058148 + 1. assign V731754 = V631797 - 1. assign V901247 = V030269 + 1. assign V877465 = V129319 - 1. assign V999000 = V703080. assign V064852 = V027189 - 1. assign V495035 = V301160 - 1. assign V952562 = V301160. assign V080553 = V731754 + 1. assign V381923 = V129319 + 1. assign V030269 = V300052 - 1. assign V703080 = V044331 + 1. assign V315634 = V687091 - 1. assign V139575 = V044331 + 1. assign V993249 = V098442 + 1. assign V365444 = V173372 + 1. assign V725096 = V026890 + 1. assign V721363 = V288697 + 1. assign V220045 = V941757 - 1. assign V204058 = V465855 - 1. assign V182432 = V142491. assign V701410 = V068285 - 1. assign V337025 = V288697 + 1. assign V254077 = V027189 - 1. assign V198791 = V529212 - 1. assign V208874 = V083953 - 1. assign V696563 = V027189 + 1. assign V602544 = V691711. assign V288697 = V950522 - 1. assign V083953 = V950522 - 1. assign V196718 = V830542 + 1. assign V688774 = V332129. assign V687091 = V495035 + 1. assign V903962 = V950522 + 1. assign V284870 = V026890 - 1. assign V980110 = V300052 - 1. assign V173372 = V142491. assign V781359 = V925514 - 1. assign V068285 = V658681 + 1. assign V529212 = V142491 + 1. assign V098848 = V903962. assign V996982 = V139575 + 1. assign V691711 = 10. assign V680873 = V999000. assign V905030 = V996982. assign V940564 = V495035. assign V142491 = V288697 + 1. assign V732717 = V980110 + 1. assign V925514 = V142491. assign V282612 = V139575 - 1. assign V833155 = V080553 + 1. assign V015466 = V639862.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV691711 = 10;\n\nFrom these direct assignment(s), we have: \nV602544 = V691711 = 10;\nNo other variables can be derived from V602544;\nNo other variables can be derived from V691711;\n\nNow we have done all the calculations. Derived variables are:\nV691711 = 10;\nV602544 = 10;\n\nNow we have finished this problem. ANSWER:\nV691711, V602544\n", "role": "assistant" } ]

[ "V661667", "V182121" ]

[ { "content": "<context>\nassign V496604 = V471825 + 1. assign V661667 = 2. assign V439001 = V408354. assign V556890 = V408354 - 1. assign V476753 = V599077 + 1. assign V018634 = V620300 + 1. assign V068421 = V109113 + 1. assign V746374 = V424990 - 1. assign V091895 = V322816. assign V852385 = V517149 - 1. assign V295754 = V360236 - 1. assign V595624 = V617534. assign V947299 = V744921 + 1. assign V407251 = V023646 + 1. assign V911264 = V496007 + 1. assign V694292 = V654786. assign V448193 = V556890 + 1. assign V148720 = V109113 + 1. assign V882183 = V599077. assign V098266 = V471825 + 1. assign V379392 = V947299 - 1. assign V881953 = V295754 - 1. assign V182121 = V661667. assign V023646 = V325318. assign V558527 = V744921. assign V839044 = V392556 - 1. assign V518999 = V839044. assign V482472 = V616792 - 1. assign V392556 = V408354. assign V109113 = V000144 - 1. assign V362557 = V989493. assign V185549 = V392556 + 1. assign V411900 = V960516. assign V296772 = V364588 + 1. assign V424990 = V558527 - 1. assign V617281 = V409195 + 1. assign V517149 = V408354 - 1. assign V315381 = V654786 - 1. assign V688955 = V364588. assign V485106 = V960516. assign V617534 = V166956. assign V333214 = V556890. assign V616792 = V485106 - 1. assign V960516 = V989493. assign V620300 = V558527 - 1. assign V288864 = V746374 + 1. assign V409195 = V166956 - 1. assign V175214 = V091895 + 1. assign V435186 = V599077 + 1. assign V292746 = V325318. assign V408354 = V379392 - 1. assign V960090 = V471825. assign V509712 = V852385 + 1. assign V478087 = V962842 + 1. assign V855599 = V379392 - 1. assign V496007 = V379392 + 1. assign V360236 = V408354. assign V024030 = V322816 - 1. assign V024538 = V882183. assign V003257 = V408354. assign V527454 = V325318 - 1. assign V785423 = V024030 - 1. assign V962842 = V408354 - 1. assign V278477 = V435186. assign V028185 = V485106 - 1. assign V599077 = V364588. assign V647081 = V839044. assign V774509 = V496007 - 1. assign V502663 = V852385. assign V627524 = V408354 + 1. assign V322816 = V485106 - 1. assign V364588 = V485106. assign V434546 = V839044 - 1. assign V178722 = V379392 - 1. assign V198539 = V407251 + 1. assign V436128 = V882183. assign V273923 = V882183 - 1. assign V000144 = V471825 - 1. assign V530127 = V882183 + 1. assign V821407 = V947299 + 1. assign V501535 = V785423. assign V471825 = V947299 + 1. assign V325318 = V322816. assign V989493 = V744921 - 1. assign V654786 = V485106 + 1. assign V166956 = V000144.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V496604 = V471825 + 1. assign V661667 = 2. assign V439001 = V408354. assign V556890 = V408354 - 1. assign V476753 = V599077 + 1. assign V018634 = V620300 + 1. assign V068421 = V109113 + 1. assign V746374 = V424990 - 1. assign V091895 = V322816. assign V852385 = V517149 - 1. assign V295754 = V360236 - 1. assign V595624 = V617534. assign V947299 = V744921 + 1. assign V407251 = V023646 + 1. assign V911264 = V496007 + 1. assign V694292 = V654786. assign V448193 = V556890 + 1. assign V148720 = V109113 + 1. assign V882183 = V599077. assign V098266 = V471825 + 1. assign V379392 = V947299 - 1. assign V881953 = V295754 - 1. assign V182121 = V661667. assign V023646 = V325318. assign V558527 = V744921. assign V839044 = V392556 - 1. assign V518999 = V839044. assign V482472 = V616792 - 1. assign V392556 = V408354. assign V109113 = V000144 - 1. assign V362557 = V989493. assign V185549 = V392556 + 1. assign V411900 = V960516. assign V296772 = V364588 + 1. assign V424990 = V558527 - 1. assign V617281 = V409195 + 1. assign V517149 = V408354 - 1. assign V315381 = V654786 - 1. assign V688955 = V364588. assign V485106 = V960516. assign V617534 = V166956. assign V333214 = V556890. assign V616792 = V485106 - 1. assign V960516 = V989493. assign V620300 = V558527 - 1. assign V288864 = V746374 + 1. assign V409195 = V166956 - 1. assign V175214 = V091895 + 1. assign V435186 = V599077 + 1. assign V292746 = V325318. assign V408354 = V379392 - 1. assign V960090 = V471825. assign V509712 = V852385 + 1. assign V478087 = V962842 + 1. assign V855599 = V379392 - 1. assign V496007 = V379392 + 1. assign V360236 = V408354. assign V024030 = V322816 - 1. assign V024538 = V882183. assign V003257 = V408354. assign V527454 = V325318 - 1. assign V785423 = V024030 - 1. assign V962842 = V408354 - 1. assign V278477 = V435186. assign V028185 = V485106 - 1. assign V599077 = V364588. assign V647081 = V839044. assign V774509 = V496007 - 1. assign V502663 = V852385. assign V627524 = V408354 + 1. assign V322816 = V485106 - 1. assign V364588 = V485106. assign V434546 = V839044 - 1. assign V178722 = V379392 - 1. assign V198539 = V407251 + 1. assign V436128 = V882183. assign V273923 = V882183 - 1. assign V000144 = V471825 - 1. assign V530127 = V882183 + 1. assign V821407 = V947299 + 1. assign V501535 = V785423. assign V471825 = V947299 + 1. assign V325318 = V322816. assign V989493 = V744921 - 1. assign V654786 = V485106 + 1. assign V166956 = V000144.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV661667 = 2;\n\nFrom these direct assignment(s), we have: \nV182121 = V661667 = 2;\nNo other variables can be derived from V182121;\nNo other variables can be derived from V661667;\n\nNow we have done all the calculations. Derived variables are:\nV661667 = 2;\nV182121 = 2;\n\nNow we have finished this problem. ANSWER:\nV661667, V182121\n", "role": "assistant" } ]

[ "V555577", "V416635" ]

[ { "content": "<context>\nassign V259325 = V250630 - 1. assign V619928 = V879136 - 1. assign V706161 = V365248 - 1. assign V791563 = V533530 + 1. assign V813208 = V300798 - 1. assign V467735 = V430676. assign V079688 = V365248 - 1. assign V865453 = V955584. assign V610011 = V533530 + 1. assign V255153 = V430676. assign V777393 = V968723 + 1. assign V093439 = V637889. assign V687900 = V323160 + 1. assign V850763 = V255153. assign V843239 = V262938 - 1. assign V151036 = V818814 + 1. assign V717353 = V637889. assign V851403 = V121104 + 1. assign V250630 = V262938 - 1. assign V555577 = 6. assign V818814 = V619928. assign V416635 = V555577. assign V739590 = V289092. assign V109766 = V955584 + 1. assign V285878 = V533530 + 1. assign V986803 = V278379 + 1. assign V004229 = V121104 - 1. assign V300798 = V146723. assign V230918 = V262938. assign V832287 = V572121 + 1. assign V886180 = V783289. assign V174797 = V533530. assign V449693 = V285878 + 1. assign V518831 = V879136 + 1. assign V502218 = V637889. assign V467371 = V856501 - 1. assign V750275 = V687900 + 1. assign V057945 = V783289 - 1. assign V572121 = V723533. assign V295598 = V576383 + 1. assign V054992 = V366831 + 1. assign V430676 = V497280 + 1. assign V111034 = V576383. assign V121104 = V146723 + 1. assign V533530 = V955584. assign V245737 = V687900. assign V726079 = V654478 - 1. assign V081202 = V955584. assign V751079 = V230918 - 1. assign V503465 = V111034. assign V497280 = V262938 - 1. assign V351074 = V111034 - 1. assign V431827 = V323160 - 1. assign V366831 = V004706 + 1. assign V146723 = V365248 + 1. assign V637889 = V323160 + 1. assign V269726 = V751079 + 1. assign V968976 = V637889 + 1. assign V496098 = V295598 - 1. assign V576383 = V323160 - 1. assign V004706 = V230918 + 1. assign V000253 = V813208 + 1. assign V290225 = V637889. assign V365248 = V576383 + 1. assign V723533 = V004706 + 1. assign V262938 = V955584 + 1. assign V538837 = V247559. assign V726354 = V247559 + 1. assign V256251 = V323160. assign V879136 = V955584. assign V968723 = V230918 - 1. assign V654478 = V431827. assign V247559 = V245737 + 1. assign V289092 = V538837 - 1. assign V015561 = V278379 + 1. assign V083999 = V256251 - 1. assign V345444 = V723533. assign V652555 = V717353 - 1. assign V856501 = V430676 - 1. assign V638904 = V431827. assign V229451 = V295598 + 1. assign V323160 = V955584 + 1. assign V510650 = V289092 - 1. assign V278379 = V717353 - 1. assign V783289 = V637889. assign V895379 = V723533 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V259325 = V250630 - 1. assign V619928 = V879136 - 1. assign V706161 = V365248 - 1. assign V791563 = V533530 + 1. assign V813208 = V300798 - 1. assign V467735 = V430676. assign V079688 = V365248 - 1. assign V865453 = V955584. assign V610011 = V533530 + 1. assign V255153 = V430676. assign V777393 = V968723 + 1. assign V093439 = V637889. assign V687900 = V323160 + 1. assign V850763 = V255153. assign V843239 = V262938 - 1. assign V151036 = V818814 + 1. assign V717353 = V637889. assign V851403 = V121104 + 1. assign V250630 = V262938 - 1. assign V555577 = 6. assign V818814 = V619928. assign V416635 = V555577. assign V739590 = V289092. assign V109766 = V955584 + 1. assign V285878 = V533530 + 1. assign V986803 = V278379 + 1. assign V004229 = V121104 - 1. assign V300798 = V146723. assign V230918 = V262938. assign V832287 = V572121 + 1. assign V886180 = V783289. assign V174797 = V533530. assign V449693 = V285878 + 1. assign V518831 = V879136 + 1. assign V502218 = V637889. assign V467371 = V856501 - 1. assign V750275 = V687900 + 1. assign V057945 = V783289 - 1. assign V572121 = V723533. assign V295598 = V576383 + 1. assign V054992 = V366831 + 1. assign V430676 = V497280 + 1. assign V111034 = V576383. assign V121104 = V146723 + 1. assign V533530 = V955584. assign V245737 = V687900. assign V726079 = V654478 - 1. assign V081202 = V955584. assign V751079 = V230918 - 1. assign V503465 = V111034. assign V497280 = V262938 - 1. assign V351074 = V111034 - 1. assign V431827 = V323160 - 1. assign V366831 = V004706 + 1. assign V146723 = V365248 + 1. assign V637889 = V323160 + 1. assign V269726 = V751079 + 1. assign V968976 = V637889 + 1. assign V496098 = V295598 - 1. assign V576383 = V323160 - 1. assign V004706 = V230918 + 1. assign V000253 = V813208 + 1. assign V290225 = V637889. assign V365248 = V576383 + 1. assign V723533 = V004706 + 1. assign V262938 = V955584 + 1. assign V538837 = V247559. assign V726354 = V247559 + 1. assign V256251 = V323160. assign V879136 = V955584. assign V968723 = V230918 - 1. assign V654478 = V431827. assign V247559 = V245737 + 1. assign V289092 = V538837 - 1. assign V015561 = V278379 + 1. assign V083999 = V256251 - 1. assign V345444 = V723533. assign V652555 = V717353 - 1. assign V856501 = V430676 - 1. assign V638904 = V431827. assign V229451 = V295598 + 1. assign V323160 = V955584 + 1. assign V510650 = V289092 - 1. assign V278379 = V717353 - 1. assign V783289 = V637889. assign V895379 = V723533 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV555577 = 6;\n\nFrom these direct assignment(s), we have: \nV416635 = V555577 = 6;\nNo other variables can be derived from V416635;\nNo other variables can be derived from V555577;\n\nNow we have done all the calculations. Derived variables are:\nV555577 = 6;\nV416635 = 6;\n\nNow we have finished this problem. ANSWER:\nV555577, V416635\n", "role": "assistant" } ]

[ "V191625" ]

[ { "content": "<context>\nassign V189999 = V362659. assign V335851 = V265554 + 1. assign V362659 = V933946 + 1. assign V573902 = V301413. assign V208064 = V348869. assign V502527 = V946359. assign V933946 = V385420 + 1. assign V071796 = V265554. assign V880139 = V766277 + 1. assign V988362 = V495239 - 1. assign V497963 = V186305 + 1. assign V622027 = V266763 - 1. assign V717860 = V503428. assign V015324 = V186305 - 1. assign V582186 = V032751. assign V408738 = V868719 + 1. assign V052107 = V762622. assign V032751 = V186305 - 1. assign V495533 = V918693 - 1. assign V166158 = V385420. assign V766277 = V586288. assign V122092 = V385420 - 1. assign V632192 = V381707 + 1. assign V055551 = V266763 - 1. assign V692648 = V266763 + 1. assign V382874 = V266763 - 1. assign V156454 = V186305. assign V381707 = V055551. assign V229767 = V055551. assign V130919 = V265554 - 1. assign V503428 = V362659 - 1. assign V868719 = V231192 - 1. assign V265554 = V486893 - 1. assign V976671 = V310799. assign V946359 = V055551 + 1. assign V584258 = V596754 + 1. assign V731402 = V768391 - 1. assign V231192 = V362659. assign V348869 = V509443 + 1. assign V751607 = V827144 - 1. assign V768391 = V692648. assign V301413 = V762622 - 1. assign V596311 = V486893 - 1. assign V216645 = V933946 + 1. assign V420401 = V502527 - 1. assign V730481 = V596754 - 1. assign V861434 = V731402. assign V235714 = V191625 + 1. assign V918693 = V641672 + 1. assign V343247 = V362659 + 1. assign V310799 = V730481. assign V762622 = V622027 + 1. assign V360850 = V880139 - 1. assign V819089 = V486893 + 1. assign V168376 = V880139 + 1. assign V510580 = V584258 + 1. assign V883568 = V231192. assign V250039 = V208064 + 1. assign V443423 = V596754 + 1. assign V156610 = V420401 - 1. assign V596754 = V768391 + 1. assign V145222 = V266763 + 1. assign V973454 = V216645 + 1. assign V092438 = V819089 + 1. assign V374786 = V596311 + 1. assign V586288 = V731402. assign V424882 = V730481. assign V641672 = V692648 + 1. assign V811936 = V495239 + 1. assign V475806 = V015324. assign V486893 = V768391 + 1. assign V186305 = V828709 + 1. assign V827144 = V055551 + 1. assign V634009 = V424882 - 1. assign V197340 = V424882. assign V509443 = V586288 + 1. assign V558245 = V596311 + 1. assign V126402 = V420401 + 1. assign V495239 = V503428 + 1. assign V630534 = V486893 - 1. assign V961882 = V385420 + 1. assign V953828 = V071796 - 1. assign V828709 = V933946 - 1. assign V266655 = V145222. assign V191625 = 2. assign V385420 = V266763.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V189999 = V362659. assign V335851 = V265554 + 1. assign V362659 = V933946 + 1. assign V573902 = V301413. assign V208064 = V348869. assign V502527 = V946359. assign V933946 = V385420 + 1. assign V071796 = V265554. assign V880139 = V766277 + 1. assign V988362 = V495239 - 1. assign V497963 = V186305 + 1. assign V622027 = V266763 - 1. assign V717860 = V503428. assign V015324 = V186305 - 1. assign V582186 = V032751. assign V408738 = V868719 + 1. assign V052107 = V762622. assign V032751 = V186305 - 1. assign V495533 = V918693 - 1. assign V166158 = V385420. assign V766277 = V586288. assign V122092 = V385420 - 1. assign V632192 = V381707 + 1. assign V055551 = V266763 - 1. assign V692648 = V266763 + 1. assign V382874 = V266763 - 1. assign V156454 = V186305. assign V381707 = V055551. assign V229767 = V055551. assign V130919 = V265554 - 1. assign V503428 = V362659 - 1. assign V868719 = V231192 - 1. assign V265554 = V486893 - 1. assign V976671 = V310799. assign V946359 = V055551 + 1. assign V584258 = V596754 + 1. assign V731402 = V768391 - 1. assign V231192 = V362659. assign V348869 = V509443 + 1. assign V751607 = V827144 - 1. assign V768391 = V692648. assign V301413 = V762622 - 1. assign V596311 = V486893 - 1. assign V216645 = V933946 + 1. assign V420401 = V502527 - 1. assign V730481 = V596754 - 1. assign V861434 = V731402. assign V235714 = V191625 + 1. assign V918693 = V641672 + 1. assign V343247 = V362659 + 1. assign V310799 = V730481. assign V762622 = V622027 + 1. assign V360850 = V880139 - 1. assign V819089 = V486893 + 1. assign V168376 = V880139 + 1. assign V510580 = V584258 + 1. assign V883568 = V231192. assign V250039 = V208064 + 1. assign V443423 = V596754 + 1. assign V156610 = V420401 - 1. assign V596754 = V768391 + 1. assign V145222 = V266763 + 1. assign V973454 = V216645 + 1. assign V092438 = V819089 + 1. assign V374786 = V596311 + 1. assign V586288 = V731402. assign V424882 = V730481. assign V641672 = V692648 + 1. assign V811936 = V495239 + 1. assign V475806 = V015324. assign V486893 = V768391 + 1. assign V186305 = V828709 + 1. assign V827144 = V055551 + 1. assign V634009 = V424882 - 1. assign V197340 = V424882. assign V509443 = V586288 + 1. assign V558245 = V596311 + 1. assign V126402 = V420401 + 1. assign V495239 = V503428 + 1. assign V630534 = V486893 - 1. assign V961882 = V385420 + 1. assign V953828 = V071796 - 1. assign V828709 = V933946 - 1. assign V266655 = V145222. assign V191625 = 2. assign V385420 = V266763.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV191625 = 2;\n\nFrom these direct assignment(s), we have: \nV235714 = V191625 + 1 = 2 + 1 =3;\nNo other variables can be derived from V235714;\nNo other variables can be derived from V191625;\n\nNow we have done all the calculations. Derived variables are:\nV191625 = 2;\nV235714 = 3;\n\nNow we have finished this problem. ANSWER:\nV191625\n", "role": "assistant" } ]

[ "V588545", "V549213" ]

[ { "content": "<context>\nassign V685343 = V521116 + 1. assign V999117 = V519504. assign V047520 = V793459 + 1. assign V487641 = V924831 + 1. assign V549213 = V588545. assign V846565 = V829912 - 1. assign V672416 = V840255 + 1. assign V184622 = V519504 - 1. assign V020104 = V829912. assign V217157 = V333742 - 1. assign V924614 = V804654 + 1. assign V612152 = V457250 - 1. assign V519504 = V997263 + 1. assign V278933 = V726771. assign V726771 = V155777 + 1. assign V829912 = V368225 - 1. assign V333742 = V391357. assign V548219 = V846565 - 1. assign V274850 = V613376 + 1. assign V777687 = V995904. assign V653035 = V997263. assign V207896 = V643588. assign V860652 = V020104. assign V997263 = V278933. assign V461524 = V155777. assign V368225 = V155777 + 1. assign V755456 = V840255. assign V903209 = V245387. assign V891814 = V517780 + 1. assign V448354 = V860652 + 1. assign V608991 = V997263 - 1. assign V103012 = V457250 - 1. assign V135650 = V613376 - 1. assign V098835 = V457250 + 1. assign V409176 = V999117 - 1. assign V391357 = V246170 - 1. assign V517780 = V155777. assign V909473 = V521116 - 1. assign V924831 = V246170. assign V092816 = V726771 - 1. assign V793459 = V037494 + 1. assign V020228 = V840255. assign V175485 = V860652 - 1. assign V612896 = V313308 - 1. assign V866099 = V461524. assign V298179 = V207166. assign V643588 = V368225 + 1. assign V959785 = V519504 - 1. assign V454421 = V461524. assign V246170 = V155777 + 1. assign V972643 = V047520 + 1. assign V236873 = V207166. assign V924396 = V155777 + 1. assign V797510 = V245387. assign V936080 = V783988 - 1. assign V489255 = V546847. assign V745872 = V285617 - 1. assign V952571 = V068749 - 1. assign V995904 = V797510 - 1. assign V613376 = V866099 - 1. assign V207166 = V391357 - 1. assign V546847 = V840255 + 1. assign V005268 = V155777. assign V457250 = V461524 + 1. assign V037494 = V368225 - 1. assign V285617 = V924396. assign V504865 = V829912. assign V294896 = V207166 + 1. assign V694754 = V461524 + 1. assign V313308 = V092816. assign V783988 = V793459. assign V110917 = V546847 - 1. assign V830845 = V643588 - 1. assign V245387 = V643588 - 1. assign V132947 = V207896. assign V521116 = V643588 + 1. assign V840255 = V924396 + 1. assign V444638 = V548219. assign V230869 = V860652 + 1. assign V683668 = V020228. assign V804654 = V020228 - 1. assign V588545 = 5. assign V068749 = V793459 - 1. assign V696136 = V694754. assign V413382 = V489255 + 1. assign V078525 = V608991 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V685343 = V521116 + 1. assign V999117 = V519504. assign V047520 = V793459 + 1. assign V487641 = V924831 + 1. assign V549213 = V588545. assign V846565 = V829912 - 1. assign V672416 = V840255 + 1. assign V184622 = V519504 - 1. assign V020104 = V829912. assign V217157 = V333742 - 1. assign V924614 = V804654 + 1. assign V612152 = V457250 - 1. assign V519504 = V997263 + 1. assign V278933 = V726771. assign V726771 = V155777 + 1. assign V829912 = V368225 - 1. assign V333742 = V391357. assign V548219 = V846565 - 1. assign V274850 = V613376 + 1. assign V777687 = V995904. assign V653035 = V997263. assign V207896 = V643588. assign V860652 = V020104. assign V997263 = V278933. assign V461524 = V155777. assign V368225 = V155777 + 1. assign V755456 = V840255. assign V903209 = V245387. assign V891814 = V517780 + 1. assign V448354 = V860652 + 1. assign V608991 = V997263 - 1. assign V103012 = V457250 - 1. assign V135650 = V613376 - 1. assign V098835 = V457250 + 1. assign V409176 = V999117 - 1. assign V391357 = V246170 - 1. assign V517780 = V155777. assign V909473 = V521116 - 1. assign V924831 = V246170. assign V092816 = V726771 - 1. assign V793459 = V037494 + 1. assign V020228 = V840255. assign V175485 = V860652 - 1. assign V612896 = V313308 - 1. assign V866099 = V461524. assign V298179 = V207166. assign V643588 = V368225 + 1. assign V959785 = V519504 - 1. assign V454421 = V461524. assign V246170 = V155777 + 1. assign V972643 = V047520 + 1. assign V236873 = V207166. assign V924396 = V155777 + 1. assign V797510 = V245387. assign V936080 = V783988 - 1. assign V489255 = V546847. assign V745872 = V285617 - 1. assign V952571 = V068749 - 1. assign V995904 = V797510 - 1. assign V613376 = V866099 - 1. assign V207166 = V391357 - 1. assign V546847 = V840255 + 1. assign V005268 = V155777. assign V457250 = V461524 + 1. assign V037494 = V368225 - 1. assign V285617 = V924396. assign V504865 = V829912. assign V294896 = V207166 + 1. assign V694754 = V461524 + 1. assign V313308 = V092816. assign V783988 = V793459. assign V110917 = V546847 - 1. assign V830845 = V643588 - 1. assign V245387 = V643588 - 1. assign V132947 = V207896. assign V521116 = V643588 + 1. assign V840255 = V924396 + 1. assign V444638 = V548219. assign V230869 = V860652 + 1. assign V683668 = V020228. assign V804654 = V020228 - 1. assign V588545 = 5. assign V068749 = V793459 - 1. assign V696136 = V694754. assign V413382 = V489255 + 1. assign V078525 = V608991 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV588545 = 5;\n\nFrom these direct assignment(s), we have: \nV549213 = V588545 = 5;\nNo other variables can be derived from V549213;\nNo other variables can be derived from V588545;\n\nNow we have done all the calculations. Derived variables are:\nV588545 = 5;\nV549213 = 5;\n\nNow we have finished this problem. ANSWER:\nV588545, V549213\n", "role": "assistant" } ]

[ "V777304" ]

[ { "content": "<context>\nassign V016388 = V225046 + 1. assign V575327 = V084606. assign V564875 = V164658. assign V229018 = V788079. assign V171987 = V532519 + 1. assign V997866 = V738540. assign V809263 = V668726 + 1. assign V183236 = V657689. assign V578288 = V215444 + 1. assign V738540 = V267820 + 1. assign V393223 = V338045. assign V788079 = V059504 + 1. assign V347580 = V072745 - 1. assign V968430 = V031932. assign V031932 = V215444. assign V183449 = V161963. assign V059504 = V663527 + 1. assign V755717 = V943486 - 1. assign V849050 = V770788. assign V672311 = V777304 - 1. assign V015433 = V175901 + 1. assign V420048 = V267820 + 1. assign V156636 = V657689 - 1. assign V322567 = V668726 - 1. assign V117445 = V399330 - 1. assign V314287 = V164658 - 1. assign V072745 = V066924 - 1. assign V510463 = V086919 - 1. assign V481072 = V183236 - 1. assign V552270 = V663527 - 1. assign V223551 = V843643. assign V045459 = V772095. assign V173397 = V267820. assign V515426 = V215444 + 1. assign V663527 = V164658 + 1. assign V267820 = V657689 - 1. assign V627926 = V997866. assign V441594 = V943486. assign V926574 = V532519 + 1. assign V250955 = V117445 + 1. assign V528705 = V164658 - 1. assign V592610 = V314287 + 1. assign V958237 = V066924 - 1. assign V319528 = V984394. assign V396633 = V319528 + 1. assign V995406 = V607137 + 1. assign V428653 = V059504. assign V316948 = V958237. assign V770788 = V117445. assign V676999 = V257282 - 1. assign V399330 = V164658. assign V943486 = V925301. assign V953065 = V516355 - 1. assign V843643 = V770788 + 1. assign V257282 = V066924 + 1. assign V516355 = V515426. assign V148848 = V627926 + 1. assign V225046 = V552270 + 1. assign V161963 = V516355 - 1. assign V984394 = V676999 + 1. assign V086919 = V532519 + 1. assign V338045 = V314287. assign V534169 = V257282 + 1. assign V668726 = V925301 + 1. assign V066924 = V267820 + 1. assign V215444 = V532519 + 1. assign V607137 = V173397 - 1. assign V853036 = V702406. assign V001649 = V031932 + 1. assign V702406 = V257282 + 1. assign V084606 = V314287 + 1. assign V213661 = V084606. assign V852818 = V117445. assign V516677 = V059504 + 1. assign V304750 = V316948 - 1. assign V744801 = V770788 - 1. assign V894118 = V084606 - 1. assign V592565 = V428653. assign V532519 = V066924. assign V690799 = V161963. assign V772095 = V316948 + 1. assign V777304 = 0. assign V657689 = V399330 + 1. assign V925301 = V257282 + 1. assign V175901 = V084606 + 1. assign V330593 = V084606 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V016388 = V225046 + 1. assign V575327 = V084606. assign V564875 = V164658. assign V229018 = V788079. assign V171987 = V532519 + 1. assign V997866 = V738540. assign V809263 = V668726 + 1. assign V183236 = V657689. assign V578288 = V215444 + 1. assign V738540 = V267820 + 1. assign V393223 = V338045. assign V788079 = V059504 + 1. assign V347580 = V072745 - 1. assign V968430 = V031932. assign V031932 = V215444. assign V183449 = V161963. assign V059504 = V663527 + 1. assign V755717 = V943486 - 1. assign V849050 = V770788. assign V672311 = V777304 - 1. assign V015433 = V175901 + 1. assign V420048 = V267820 + 1. assign V156636 = V657689 - 1. assign V322567 = V668726 - 1. assign V117445 = V399330 - 1. assign V314287 = V164658 - 1. assign V072745 = V066924 - 1. assign V510463 = V086919 - 1. assign V481072 = V183236 - 1. assign V552270 = V663527 - 1. assign V223551 = V843643. assign V045459 = V772095. assign V173397 = V267820. assign V515426 = V215444 + 1. assign V663527 = V164658 + 1. assign V267820 = V657689 - 1. assign V627926 = V997866. assign V441594 = V943486. assign V926574 = V532519 + 1. assign V250955 = V117445 + 1. assign V528705 = V164658 - 1. assign V592610 = V314287 + 1. assign V958237 = V066924 - 1. assign V319528 = V984394. assign V396633 = V319528 + 1. assign V995406 = V607137 + 1. assign V428653 = V059504. assign V316948 = V958237. assign V770788 = V117445. assign V676999 = V257282 - 1. assign V399330 = V164658. assign V943486 = V925301. assign V953065 = V516355 - 1. assign V843643 = V770788 + 1. assign V257282 = V066924 + 1. assign V516355 = V515426. assign V148848 = V627926 + 1. assign V225046 = V552270 + 1. assign V161963 = V516355 - 1. assign V984394 = V676999 + 1. assign V086919 = V532519 + 1. assign V338045 = V314287. assign V534169 = V257282 + 1. assign V668726 = V925301 + 1. assign V066924 = V267820 + 1. assign V215444 = V532519 + 1. assign V607137 = V173397 - 1. assign V853036 = V702406. assign V001649 = V031932 + 1. assign V702406 = V257282 + 1. assign V084606 = V314287 + 1. assign V213661 = V084606. assign V852818 = V117445. assign V516677 = V059504 + 1. assign V304750 = V316948 - 1. assign V744801 = V770788 - 1. assign V894118 = V084606 - 1. assign V592565 = V428653. assign V532519 = V066924. assign V690799 = V161963. assign V772095 = V316948 + 1. assign V777304 = 0. assign V657689 = V399330 + 1. assign V925301 = V257282 + 1. assign V175901 = V084606 + 1. assign V330593 = V084606 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV777304 = 0;\n\nFrom these direct assignment(s), we have: \nV672311 = V777304 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V672311;\nNo other variables can be derived from V777304;\n\nNow we have done all the calculations. Derived variables are:\nV777304 = 0;\nV672311 = -1;\n\nNow we have finished this problem. ANSWER:\nV777304\n", "role": "assistant" } ]

[ "V810461", "V850218" ]

[ { "content": "<context>\nassign V849022 = V490603 - 1. assign V324003 = V039826 + 1. assign V888777 = V711608 - 1. assign V049050 = V739488 + 1. assign V427127 = V207315. assign V531917 = V979509 - 1. assign V305181 = V079278 - 1. assign V028469 = V739488 - 1. assign V506787 = V315194 + 1. assign V414957 = V888777 - 1. assign V504831 = V989572 - 1. assign V381825 = V109648 - 1. assign V306828 = V849022. assign V403930 = V739488. assign V810461 = 0. assign V398793 = V824104. assign V763001 = V275734 + 1. assign V738186 = V626043 + 1. assign V481509 = V979509 + 1. assign V151331 = V315194. assign V700207 = V481509 - 1. assign V143141 = V207315 + 1. assign V573210 = V626783 - 1. assign V295666 = V989572. assign V025305 = V598073 + 1. assign V717647 = V903020. assign V061532 = V102994 - 1. assign V079278 = V039826. assign V739488 = V626043. assign V597267 = V490603 + 1. assign V755798 = V626043. assign V357497 = V888777 - 1. assign V626043 = V315194. assign V315194 = V247181. assign V291401 = V401721 - 1. assign V401721 = V357497 + 1. assign V824104 = V247181 - 1. assign V903020 = V989572 - 1. assign V529004 = V079314 - 1. assign V711608 = V247181 - 1. assign V077288 = V039826 - 1. assign V829391 = V071220 - 1. assign V273970 = V490603. assign V153563 = V929265. assign V266368 = V020953. assign V102994 = V989572 + 1. assign V541984 = V849022 + 1. assign V490603 = V360386. assign V042486 = V913439 + 1. assign V079314 = V755798 + 1. assign V020953 = V755798 + 1. assign V354643 = V398793 - 1. assign V946447 = V028469 - 1. assign V626783 = V315194 - 1. assign V979509 = V403930 + 1. assign V432128 = V573210 - 1. assign V874564 = V077288 - 1. assign V989572 = V315194 - 1. assign V593114 = V275734 + 1. assign V828978 = V315194. assign V030413 = V979509 + 1. assign V039826 = V560498 + 1. assign V521689 = V634666 + 1. assign V913439 = V490603. assign V378668 = V020953 - 1. assign V634666 = V626043 - 1. assign V593419 = V979509 + 1. assign V560498 = V315194. assign V360386 = V247181 - 1. assign V598073 = V888777. assign V782218 = V360386 - 1. assign V766459 = V504831. assign V109648 = V295666 + 1. assign V080846 = V989572 - 1. assign V130821 = V427127 + 1. assign V120510 = V634666. assign V207315 = V275734 - 1. assign V071220 = V989572 - 1. assign V199926 = V828978 + 1. assign V929265 = V739488 - 1. assign V949888 = V398793. assign V360869 = V079314 - 1. assign V275734 = V102994 - 1. assign V850218 = V810461. assign V905440 = V560498 + 1. assign V465301 = V357497 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V849022 = V490603 - 1. assign V324003 = V039826 + 1. assign V888777 = V711608 - 1. assign V049050 = V739488 + 1. assign V427127 = V207315. assign V531917 = V979509 - 1. assign V305181 = V079278 - 1. assign V028469 = V739488 - 1. assign V506787 = V315194 + 1. assign V414957 = V888777 - 1. assign V504831 = V989572 - 1. assign V381825 = V109648 - 1. assign V306828 = V849022. assign V403930 = V739488. assign V810461 = 0. assign V398793 = V824104. assign V763001 = V275734 + 1. assign V738186 = V626043 + 1. assign V481509 = V979509 + 1. assign V151331 = V315194. assign V700207 = V481509 - 1. assign V143141 = V207315 + 1. assign V573210 = V626783 - 1. assign V295666 = V989572. assign V025305 = V598073 + 1. assign V717647 = V903020. assign V061532 = V102994 - 1. assign V079278 = V039826. assign V739488 = V626043. assign V597267 = V490603 + 1. assign V755798 = V626043. assign V357497 = V888777 - 1. assign V626043 = V315194. assign V315194 = V247181. assign V291401 = V401721 - 1. assign V401721 = V357497 + 1. assign V824104 = V247181 - 1. assign V903020 = V989572 - 1. assign V529004 = V079314 - 1. assign V711608 = V247181 - 1. assign V077288 = V039826 - 1. assign V829391 = V071220 - 1. assign V273970 = V490603. assign V153563 = V929265. assign V266368 = V020953. assign V102994 = V989572 + 1. assign V541984 = V849022 + 1. assign V490603 = V360386. assign V042486 = V913439 + 1. assign V079314 = V755798 + 1. assign V020953 = V755798 + 1. assign V354643 = V398793 - 1. assign V946447 = V028469 - 1. assign V626783 = V315194 - 1. assign V979509 = V403930 + 1. assign V432128 = V573210 - 1. assign V874564 = V077288 - 1. assign V989572 = V315194 - 1. assign V593114 = V275734 + 1. assign V828978 = V315194. assign V030413 = V979509 + 1. assign V039826 = V560498 + 1. assign V521689 = V634666 + 1. assign V913439 = V490603. assign V378668 = V020953 - 1. assign V634666 = V626043 - 1. assign V593419 = V979509 + 1. assign V560498 = V315194. assign V360386 = V247181 - 1. assign V598073 = V888777. assign V782218 = V360386 - 1. assign V766459 = V504831. assign V109648 = V295666 + 1. assign V080846 = V989572 - 1. assign V130821 = V427127 + 1. assign V120510 = V634666. assign V207315 = V275734 - 1. assign V071220 = V989572 - 1. assign V199926 = V828978 + 1. assign V929265 = V739488 - 1. assign V949888 = V398793. assign V360869 = V079314 - 1. assign V275734 = V102994 - 1. assign V850218 = V810461. assign V905440 = V560498 + 1. assign V465301 = V357497 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV810461 = 0;\n\nFrom these direct assignment(s), we have: \nV850218 = V810461 = 0;\nNo other variables can be derived from V850218;\nNo other variables can be derived from V810461;\n\nNow we have done all the calculations. Derived variables are:\nV810461 = 0;\nV850218 = 0;\n\nNow we have finished this problem. ANSWER:\nV810461, V850218\n", "role": "assistant" } ]

[ "V048597", "V278349" ]

[ { "content": "<context>\nassign V785071 = V084248 - 1. assign V830368 = V008055. assign V749160 = V418223 - 1. assign V166105 = V033305 + 1. assign V070143 = V008055 + 1. assign V084248 = V598261. assign V139748 = V308613 - 1. assign V200542 = V974497 + 1. assign V065769 = V755065 + 1. assign V392934 = V008055 + 1. assign V387837 = V531935 - 1. assign V901925 = V038271 - 1. assign V278349 = V048597. assign V512183 = V320059 + 1. assign V048597 = 5. assign V023268 = V728083. assign V915162 = V441244 - 1. assign V608851 = V577194 - 1. assign V335413 = V033305 - 1. assign V939250 = V604163. assign V631122 = V112391 - 1. assign V653484 = V308613 - 1. assign V441244 = V030768 - 1. assign V238107 = V755065. assign V658037 = V339500 + 1. assign V818999 = V562613 + 1. assign V718480 = V209793 + 1. assign V264951 = V209793 + 1. assign V320059 = V038271 + 1. assign V025188 = V033305 + 1. assign V038271 = V598261 + 1. assign V974497 = V084248 + 1. assign V308613 = V755065. assign V356053 = V755065 + 1. assign V708954 = V755065 + 1. assign V128784 = V581329. assign V209793 = V708954. assign V157984 = V033305 + 1. assign V033305 = V065769 - 1. assign V883622 = V166105 + 1. assign V688496 = V708954 + 1. assign V472739 = V238107. assign V119802 = V472739. assign V902451 = V356053 - 1. assign V840695 = V755065 + 1. assign V212336 = V439816 - 1. assign V169733 = V581329. assign V948018 = V840695. assign V701303 = V948018 - 1. assign V531935 = V033305. assign V491944 = V711036 + 1. assign V728083 = V441244 + 1. assign V503340 = V384880 + 1. assign V700564 = V695489 - 1. assign V695489 = V320059. assign V011301 = V755065 + 1. assign V604163 = V562613. assign V525297 = V577194. assign V577194 = V755065 + 1. assign V418223 = V030768. assign V562613 = V577194 - 1. assign V581329 = V320059 - 1. assign V030768 = V755065. assign V230734 = V070143 - 1. assign V620677 = V441244 + 1. assign V761180 = V883622 + 1. assign V398904 = V033305. assign V351079 = V157984. assign V384880 = V901925 - 1. assign V598261 = V840695 - 1. assign V459813 = V755065. assign V274551 = V418223 + 1. assign V339500 = V974497 + 1. assign V439816 = V320059 + 1. assign V222323 = V577194 - 1. assign V044446 = V577194 + 1. assign V491278 = V025188 + 1. assign V635608 = V695489 + 1. assign V112391 = V653484 + 1. assign V216845 = V025188 + 1. assign V796653 = V065769 - 1. assign V578594 = V761180 - 1. assign V437855 = V708954 + 1. assign V008055 = V840695. assign V959610 = V008055. assign V711036 = V216845 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V785071 = V084248 - 1. assign V830368 = V008055. assign V749160 = V418223 - 1. assign V166105 = V033305 + 1. assign V070143 = V008055 + 1. assign V084248 = V598261. assign V139748 = V308613 - 1. assign V200542 = V974497 + 1. assign V065769 = V755065 + 1. assign V392934 = V008055 + 1. assign V387837 = V531935 - 1. assign V901925 = V038271 - 1. assign V278349 = V048597. assign V512183 = V320059 + 1. assign V048597 = 5. assign V023268 = V728083. assign V915162 = V441244 - 1. assign V608851 = V577194 - 1. assign V335413 = V033305 - 1. assign V939250 = V604163. assign V631122 = V112391 - 1. assign V653484 = V308613 - 1. assign V441244 = V030768 - 1. assign V238107 = V755065. assign V658037 = V339500 + 1. assign V818999 = V562613 + 1. assign V718480 = V209793 + 1. assign V264951 = V209793 + 1. assign V320059 = V038271 + 1. assign V025188 = V033305 + 1. assign V038271 = V598261 + 1. assign V974497 = V084248 + 1. assign V308613 = V755065. assign V356053 = V755065 + 1. assign V708954 = V755065 + 1. assign V128784 = V581329. assign V209793 = V708954. assign V157984 = V033305 + 1. assign V033305 = V065769 - 1. assign V883622 = V166105 + 1. assign V688496 = V708954 + 1. assign V472739 = V238107. assign V119802 = V472739. assign V902451 = V356053 - 1. assign V840695 = V755065 + 1. assign V212336 = V439816 - 1. assign V169733 = V581329. assign V948018 = V840695. assign V701303 = V948018 - 1. assign V531935 = V033305. assign V491944 = V711036 + 1. assign V728083 = V441244 + 1. assign V503340 = V384880 + 1. assign V700564 = V695489 - 1. assign V695489 = V320059. assign V011301 = V755065 + 1. assign V604163 = V562613. assign V525297 = V577194. assign V577194 = V755065 + 1. assign V418223 = V030768. assign V562613 = V577194 - 1. assign V581329 = V320059 - 1. assign V030768 = V755065. assign V230734 = V070143 - 1. assign V620677 = V441244 + 1. assign V761180 = V883622 + 1. assign V398904 = V033305. assign V351079 = V157984. assign V384880 = V901925 - 1. assign V598261 = V840695 - 1. assign V459813 = V755065. assign V274551 = V418223 + 1. assign V339500 = V974497 + 1. assign V439816 = V320059 + 1. assign V222323 = V577194 - 1. assign V044446 = V577194 + 1. assign V491278 = V025188 + 1. assign V635608 = V695489 + 1. assign V112391 = V653484 + 1. assign V216845 = V025188 + 1. assign V796653 = V065769 - 1. assign V578594 = V761180 - 1. assign V437855 = V708954 + 1. assign V008055 = V840695. assign V959610 = V008055. assign V711036 = V216845 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV048597 = 5;\n\nFrom these direct assignment(s), we have: \nV278349 = V048597 = 5;\nNo other variables can be derived from V278349;\nNo other variables can be derived from V048597;\n\nNow we have done all the calculations. Derived variables are:\nV048597 = 5;\nV278349 = 5;\n\nNow we have finished this problem. ANSWER:\nV048597, V278349\n", "role": "assistant" } ]

[ "V751283", "V085269" ]

[ { "content": "<context>\nassign V126193 = V369967. assign V618819 = V298332. assign V859555 = V920486 + 1. assign V480022 = V958010 + 1. assign V912249 = V961759. assign V468138 = V047515 - 1. assign V052718 = V792725 + 1. assign V983217 = V535806 - 1. assign V751283 = 5. assign V253369 = V318099 - 1. assign V450221 = V383220. assign V700634 = V145849 + 1. assign V729504 = V534649 + 1. assign V038833 = V920287 + 1. assign V385840 = V961759 - 1. assign V665920 = V534649. assign V792725 = V027749. assign V246088 = V550564 - 1. assign V298332 = V999748 + 1. assign V496978 = V047515 - 1. assign V839945 = V535806 - 1. assign V317314 = V383220 - 1. assign V232406 = V920486 - 1. assign V383220 = V480022. assign V452140 = V792725. assign V219120 = V126193 - 1. assign V318099 = V350220 - 1. assign V071348 = V534404. assign V466945 = V126193 - 1. assign V267611 = V920287 - 1. assign V242124 = V555664 + 1. assign V626793 = V496978. assign V214931 = V920287 - 1. assign V087590 = V476882 + 1. assign V330124 = V383220. assign V958010 = V027749 + 1. assign V043222 = V267611. assign V751647 = V267611 - 1. assign V920486 = V534649. assign V984077 = V272821 + 1. assign V535806 = V534649. assign V999748 = V958010 + 1. assign V351381 = V367021 - 1. assign V902081 = V027749 - 1. assign V367485 = V318099 + 1. assign V391470 = V700634 - 1. assign V367021 = V539318 - 1. assign V369967 = V145849 - 1. assign V085269 = V751283. assign V442880 = V984077 + 1. assign V961759 = V231224 - 1. assign V554289 = V480022 + 1. assign V088832 = V231224 + 1. assign V555664 = V534404 - 1. assign V802905 = V385840 - 1. assign V448040 = V618819. assign V641191 = V318099 + 1. assign V047515 = V231224 - 1. assign V152454 = V231224 + 1. assign V700515 = V550564. assign V377040 = V920486. assign V108439 = V626793 + 1. assign V405248 = V984077 - 1. assign V027635 = V350220 - 1. assign V421239 = V480022 + 1. assign V550564 = V027749. assign V009637 = V618819 + 1. assign V476882 = V792725. assign V350220 = V535806 - 1. assign V920287 = V027749 - 1. assign V485798 = V385840 - 1. assign V129078 = V983217. assign V571925 = V027749. assign V180874 = V047515 - 1. assign V842944 = V618819. assign V534404 = V480022 - 1. assign V539318 = V421239 - 1. assign V989927 = V231224 + 1. assign V231224 = V027749 + 1. assign V304243 = V700515. assign V534649 = V571925 + 1. assign V145849 = V792725. assign V161235 = V367021 - 1. assign V286561 = V161235 + 1. assign V272821 = V534404. assign V800488 = V983217 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V126193 = V369967. assign V618819 = V298332. assign V859555 = V920486 + 1. assign V480022 = V958010 + 1. assign V912249 = V961759. assign V468138 = V047515 - 1. assign V052718 = V792725 + 1. assign V983217 = V535806 - 1. assign V751283 = 5. assign V253369 = V318099 - 1. assign V450221 = V383220. assign V700634 = V145849 + 1. assign V729504 = V534649 + 1. assign V038833 = V920287 + 1. assign V385840 = V961759 - 1. assign V665920 = V534649. assign V792725 = V027749. assign V246088 = V550564 - 1. assign V298332 = V999748 + 1. assign V496978 = V047515 - 1. assign V839945 = V535806 - 1. assign V317314 = V383220 - 1. assign V232406 = V920486 - 1. assign V383220 = V480022. assign V452140 = V792725. assign V219120 = V126193 - 1. assign V318099 = V350220 - 1. assign V071348 = V534404. assign V466945 = V126193 - 1. assign V267611 = V920287 - 1. assign V242124 = V555664 + 1. assign V626793 = V496978. assign V214931 = V920287 - 1. assign V087590 = V476882 + 1. assign V330124 = V383220. assign V958010 = V027749 + 1. assign V043222 = V267611. assign V751647 = V267611 - 1. assign V920486 = V534649. assign V984077 = V272821 + 1. assign V535806 = V534649. assign V999748 = V958010 + 1. assign V351381 = V367021 - 1. assign V902081 = V027749 - 1. assign V367485 = V318099 + 1. assign V391470 = V700634 - 1. assign V367021 = V539318 - 1. assign V369967 = V145849 - 1. assign V085269 = V751283. assign V442880 = V984077 + 1. assign V961759 = V231224 - 1. assign V554289 = V480022 + 1. assign V088832 = V231224 + 1. assign V555664 = V534404 - 1. assign V802905 = V385840 - 1. assign V448040 = V618819. assign V641191 = V318099 + 1. assign V047515 = V231224 - 1. assign V152454 = V231224 + 1. assign V700515 = V550564. assign V377040 = V920486. assign V108439 = V626793 + 1. assign V405248 = V984077 - 1. assign V027635 = V350220 - 1. assign V421239 = V480022 + 1. assign V550564 = V027749. assign V009637 = V618819 + 1. assign V476882 = V792725. assign V350220 = V535806 - 1. assign V920287 = V027749 - 1. assign V485798 = V385840 - 1. assign V129078 = V983217. assign V571925 = V027749. assign V180874 = V047515 - 1. assign V842944 = V618819. assign V534404 = V480022 - 1. assign V539318 = V421239 - 1. assign V989927 = V231224 + 1. assign V231224 = V027749 + 1. assign V304243 = V700515. assign V534649 = V571925 + 1. assign V145849 = V792725. assign V161235 = V367021 - 1. assign V286561 = V161235 + 1. assign V272821 = V534404. assign V800488 = V983217 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV751283 = 5;\n\nFrom these direct assignment(s), we have: \nV085269 = V751283 = 5;\nNo other variables can be derived from V085269;\nNo other variables can be derived from V751283;\n\nNow we have done all the calculations. Derived variables are:\nV751283 = 5;\nV085269 = 5;\n\nNow we have finished this problem. ANSWER:\nV751283, V085269\n", "role": "assistant" } ]

[ "V412299" ]

[ { "content": "<context>\nassign V269724 = V957897 + 1. assign V503342 = V937687. assign V305973 = V436330. assign V955414 = V188674. assign V620779 = V562273 + 1. assign V468407 = V192369 - 1. assign V412299 = 5. assign V293329 = V937687 - 1. assign V192369 = V677256 - 1. assign V768427 = V609912. assign V578964 = V955414. assign V949734 = V520166 - 1. assign V531559 = V955414 - 1. assign V889296 = V188674 + 1. assign V647174 = V701142. assign V035775 = V252027 + 1. assign V538986 = V125158 - 1. assign V229463 = V252027. assign V948177 = V520166 + 1. assign V216083 = V130323 - 1. assign V701142 = V229463 + 1. assign V320632 = V954057 + 1. assign V972344 = V035775 - 1. assign V345671 = V955414. assign V095028 = V022979. assign V627021 = V065456 - 1. assign V202550 = V985773 - 1. assign V562273 = V344349. assign V130323 = V307009. assign V070211 = V065456 - 1. assign V543857 = V547854 + 1. assign V252027 = V955414 - 1. assign V052999 = V252027. assign V571311 = V216083 - 1. assign V712139 = V520166 + 1. assign V226414 = V727965 - 1. assign V261121 = V188674 - 1. assign V663149 = V972344. assign V727965 = V677256. assign V954057 = V130323 - 1. assign V681167 = V647174 + 1. assign V955547 = V663149 - 1. assign V828850 = V524069. assign V170837 = V412299 + 1. assign V520166 = V937687. assign V638139 = V520166 + 1. assign V085298 = V571311 + 1. assign V165161 = V972344 - 1. assign V022979 = V070211 + 1. assign V937687 = V345671. assign V609912 = V165161 + 1. assign V719249 = V862247. assign V203929 = V059146 + 1. assign V436330 = V989641 + 1. assign V966185 = V261121. assign V059146 = V663149 - 1. assign V050015 = V125158 + 1. assign V094199 = V955414 - 1. assign V524069 = V094199 + 1. assign V985773 = V638139 - 1. assign V492141 = V436330 + 1. assign V344349 = V524069. assign V347645 = V165161 + 1. assign V204944 = V085298 + 1. assign V365000 = V957897. assign V056640 = V937687. assign V134984 = V365000 + 1. assign V719161 = V288620 + 1. assign V709118 = V719161. assign V721360 = V955414 - 1. assign V288620 = V972344 - 1. assign V989641 = V125158 - 1. assign V132659 = V094199. assign V125158 = V345671. assign V547854 = V701142 + 1. assign V662802 = V125158 + 1. assign V065456 = V188674 - 1. assign V862247 = V524069. assign V957897 = V216083 - 1. assign V821362 = V070211. assign V291651 = V663149 + 1. assign V227153 = V578964 - 1. assign V855510 = V966185 - 1. assign V307009 = V252027 + 1. assign V013426 = V701142 + 1. assign V677256 = V056640 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V269724 = V957897 + 1. assign V503342 = V937687. assign V305973 = V436330. assign V955414 = V188674. assign V620779 = V562273 + 1. assign V468407 = V192369 - 1. assign V412299 = 5. assign V293329 = V937687 - 1. assign V192369 = V677256 - 1. assign V768427 = V609912. assign V578964 = V955414. assign V949734 = V520166 - 1. assign V531559 = V955414 - 1. assign V889296 = V188674 + 1. assign V647174 = V701142. assign V035775 = V252027 + 1. assign V538986 = V125158 - 1. assign V229463 = V252027. assign V948177 = V520166 + 1. assign V216083 = V130323 - 1. assign V701142 = V229463 + 1. assign V320632 = V954057 + 1. assign V972344 = V035775 - 1. assign V345671 = V955414. assign V095028 = V022979. assign V627021 = V065456 - 1. assign V202550 = V985773 - 1. assign V562273 = V344349. assign V130323 = V307009. assign V070211 = V065456 - 1. assign V543857 = V547854 + 1. assign V252027 = V955414 - 1. assign V052999 = V252027. assign V571311 = V216083 - 1. assign V712139 = V520166 + 1. assign V226414 = V727965 - 1. assign V261121 = V188674 - 1. assign V663149 = V972344. assign V727965 = V677256. assign V954057 = V130323 - 1. assign V681167 = V647174 + 1. assign V955547 = V663149 - 1. assign V828850 = V524069. assign V170837 = V412299 + 1. assign V520166 = V937687. assign V638139 = V520166 + 1. assign V085298 = V571311 + 1. assign V165161 = V972344 - 1. assign V022979 = V070211 + 1. assign V937687 = V345671. assign V609912 = V165161 + 1. assign V719249 = V862247. assign V203929 = V059146 + 1. assign V436330 = V989641 + 1. assign V966185 = V261121. assign V059146 = V663149 - 1. assign V050015 = V125158 + 1. assign V094199 = V955414 - 1. assign V524069 = V094199 + 1. assign V985773 = V638139 - 1. assign V492141 = V436330 + 1. assign V344349 = V524069. assign V347645 = V165161 + 1. assign V204944 = V085298 + 1. assign V365000 = V957897. assign V056640 = V937687. assign V134984 = V365000 + 1. assign V719161 = V288620 + 1. assign V709118 = V719161. assign V721360 = V955414 - 1. assign V288620 = V972344 - 1. assign V989641 = V125158 - 1. assign V132659 = V094199. assign V125158 = V345671. assign V547854 = V701142 + 1. assign V662802 = V125158 + 1. assign V065456 = V188674 - 1. assign V862247 = V524069. assign V957897 = V216083 - 1. assign V821362 = V070211. assign V291651 = V663149 + 1. assign V227153 = V578964 - 1. assign V855510 = V966185 - 1. assign V307009 = V252027 + 1. assign V013426 = V701142 + 1. assign V677256 = V056640 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV412299 = 5;\n\nFrom these direct assignment(s), we have: \nV170837 = V412299 + 1 = 5 + 1 =6;\nNo other variables can be derived from V170837;\nNo other variables can be derived from V412299;\n\nNow we have done all the calculations. Derived variables are:\nV412299 = 5;\nV170837 = 6;\n\nNow we have finished this problem. ANSWER:\nV412299\n", "role": "assistant" } ]

[ "V476042" ]

[ { "content": "<context>\nassign V295161 = V010454 + 1. assign V787210 = V057770 + 1. assign V439817 = V123888. assign V099481 = V830684 + 1. assign V036838 = V868596 - 1. assign V123674 = V231019. assign V868596 = V854909 - 1. assign V682291 = V416218 - 1. assign V679337 = V231019 + 1. assign V416218 = V587875. assign V647617 = V679337 + 1. assign V409932 = V422156. assign V149656 = 0. assign V152327 = V580214. assign V864140 = V379353 - 1. assign V815540 = V587875 - 1. assign V908697 = V202117 + 1. assign V081895 = V764284 + 1. assign V616172 = V057770 - 1. assign V610075 = V587875. assign V764284 = V222878 - 1. assign V291105 = V580214 + 1. assign V531252 = V854909 - 1. assign V520328 = V061874. assign V379353 = V231019 - 1. assign V412066 = V443946 - 1. assign V243863 = V788107 - 1. assign V103555 = V123674. assign V587875 = V231019. assign V854909 = V379353. assign V032708 = V778178 - 1. assign V422156 = V797864 + 1. assign V317366 = V439817 + 1. assign V167984 = V610075 - 1. assign V965749 = V123888 + 1. assign V982777 = V899212 - 1. assign V887116 = V279762 + 1. assign V844529 = V587875 - 1. assign V766159 = V103555. assign V788107 = V033212. assign V983165 = V868596 + 1. assign V350057 = V580214 - 1. assign V123888 = V416218. assign V388881 = V033212 + 1. assign V652687 = V520328 + 1. assign V445056 = V282985 - 1. assign V057770 = V587875. assign V279762 = V057770 - 1. assign V938875 = V123674 - 1. assign V672971 = V010454 + 1. assign V201100 = V854909 - 1. assign V580214 = V231019. assign V852372 = V166930. assign V476042 = V149656 - 1. assign V010454 = V580214 - 1. assign V176971 = V282985. assign V856805 = V764284 + 1. assign V550909 = V416218 - 1. assign V479552 = V057770 - 1. assign V968179 = V764284 - 1. assign V530084 = V379353 + 1. assign V930845 = V443946. assign V268618 = V520328 - 1. assign V086945 = V167984 - 1. assign V989862 = V282985 + 1. assign V062954 = V061874 - 1. assign V056118 = V062954 - 1. assign V778178 = V359540. assign V899212 = V479552 - 1. assign V166930 = V201100 - 1. assign V617196 = V295161. assign V443946 = V033212 + 1. assign V222878 = V282985 - 1. assign V597936 = V057770 + 1. assign V282985 = V231019. assign V731995 = V201100. assign V033212 = V061874. assign V809389 = V983165 + 1. assign V797864 = V416218. assign V202117 = V222878 - 1. assign V830684 = V167984 + 1. assign V500862 = V788107. assign V721580 = V530084. assign V112300 = V359540 + 1. assign V359540 = V580214. assign V061874 = V123888 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V295161 = V010454 + 1. assign V787210 = V057770 + 1. assign V439817 = V123888. assign V099481 = V830684 + 1. assign V036838 = V868596 - 1. assign V123674 = V231019. assign V868596 = V854909 - 1. assign V682291 = V416218 - 1. assign V679337 = V231019 + 1. assign V416218 = V587875. assign V647617 = V679337 + 1. assign V409932 = V422156. assign V149656 = 0. assign V152327 = V580214. assign V864140 = V379353 - 1. assign V815540 = V587875 - 1. assign V908697 = V202117 + 1. assign V081895 = V764284 + 1. assign V616172 = V057770 - 1. assign V610075 = V587875. assign V764284 = V222878 - 1. assign V291105 = V580214 + 1. assign V531252 = V854909 - 1. assign V520328 = V061874. assign V379353 = V231019 - 1. assign V412066 = V443946 - 1. assign V243863 = V788107 - 1. assign V103555 = V123674. assign V587875 = V231019. assign V854909 = V379353. assign V032708 = V778178 - 1. assign V422156 = V797864 + 1. assign V317366 = V439817 + 1. assign V167984 = V610075 - 1. assign V965749 = V123888 + 1. assign V982777 = V899212 - 1. assign V887116 = V279762 + 1. assign V844529 = V587875 - 1. assign V766159 = V103555. assign V788107 = V033212. assign V983165 = V868596 + 1. assign V350057 = V580214 - 1. assign V123888 = V416218. assign V388881 = V033212 + 1. assign V652687 = V520328 + 1. assign V445056 = V282985 - 1. assign V057770 = V587875. assign V279762 = V057770 - 1. assign V938875 = V123674 - 1. assign V672971 = V010454 + 1. assign V201100 = V854909 - 1. assign V580214 = V231019. assign V852372 = V166930. assign V476042 = V149656 - 1. assign V010454 = V580214 - 1. assign V176971 = V282985. assign V856805 = V764284 + 1. assign V550909 = V416218 - 1. assign V479552 = V057770 - 1. assign V968179 = V764284 - 1. assign V530084 = V379353 + 1. assign V930845 = V443946. assign V268618 = V520328 - 1. assign V086945 = V167984 - 1. assign V989862 = V282985 + 1. assign V062954 = V061874 - 1. assign V056118 = V062954 - 1. assign V778178 = V359540. assign V899212 = V479552 - 1. assign V166930 = V201100 - 1. assign V617196 = V295161. assign V443946 = V033212 + 1. assign V222878 = V282985 - 1. assign V597936 = V057770 + 1. assign V282985 = V231019. assign V731995 = V201100. assign V033212 = V061874. assign V809389 = V983165 + 1. assign V797864 = V416218. assign V202117 = V222878 - 1. assign V830684 = V167984 + 1. assign V500862 = V788107. assign V721580 = V530084. assign V112300 = V359540 + 1. assign V359540 = V580214. assign V061874 = V123888 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV149656 = 0;\n\nFrom these direct assignment(s), we have: \nV476042 = V149656 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V476042;\nNo other variables can be derived from V149656;\n\nNow we have done all the calculations. Derived variables are:\nV149656 = 0;\nV476042 = -1;\n\nNow we have finished this problem. ANSWER:\nV476042\n", "role": "assistant" } ]

[ "V935461" ]

[ { "content": "<context>\nassign V955522 = V385682 + 1. assign V909102 = V625430. assign V938679 = V664773. assign V598268 = V648016 + 1. assign V854771 = V711627 - 1. assign V293107 = V186075 + 1. assign V030359 = V821392 + 1. assign V979650 = V346690. assign V812252 = V030359 - 1. assign V912911 = V236775 + 1. assign V039867 = V812252 + 1. assign V608141 = V647655 + 1. assign V137012 = V997984 + 1. assign V302365 = V591797 + 1. assign V521154 = V617216. assign V633587 = V874117 - 1. assign V543289 = V144023. assign V320320 = V617216 - 1. assign V441180 = V144023. assign V094074 = V151727 - 1. assign V144023 = V661548. assign V130603 = V955522 - 1. assign V796894 = V769291 - 1. assign V648639 = V441180. assign V350288 = V979650 - 1. assign V685580 = V664773 + 1. assign V984938 = V685580. assign V274459 = V874117. assign V875682 = V385682. assign V576927 = V955522 + 1. assign V456531 = V385682 + 1. assign V474692 = V591797 - 1. assign V301143 = V608141 + 1. assign V534279 = V912911 - 1. assign V363611 = V456531 + 1. assign V465211 = V350288 - 1. assign V711627 = V720426 + 1. assign V661548 = V284624. assign V279101 = V769291 + 1. assign V385682 = V346690 + 1. assign V313435 = V664773. assign V089707 = V661548 - 1. assign V186075 = V874117 + 1. assign V420216 = V591797. assign V821392 = V932118 + 1. assign V498164 = V101186 + 1. assign V506860 = V608141 - 1. assign V563420 = V861306 - 1. assign V137949 = V938679 + 1. assign V648016 = V284624 + 1. assign V355600 = V854771 - 1. assign V824456 = V320320 - 1. assign V591797 = V633587 - 1. assign V664773 = V955522. assign V932118 = V874117. assign V874117 = V101186 - 1. assign V720426 = V932118 + 1. assign V457943 = V346690 + 1. assign V617216 = V457943 - 1. assign V341799 = V234771. assign V935461 = 1. assign V861306 = V617216. assign V729472 = V912911 + 1. assign V720966 = V661548 + 1. assign V381019 = V474692. assign V997984 = V457943 - 1. assign V625430 = V633587 + 1. assign V236775 = V769291. assign V284624 = V101186 + 1. assign V769291 = V711627 + 1. assign V614516 = V711627 - 1. assign V892350 = V186075 + 1. assign V541399 = V824456. assign V101186 = V457943 - 1. assign V647655 = V320320 + 1. assign V634145 = V130603. assign V539344 = V984938 - 1. assign V234771 = V633587 + 1. assign V816600 = V541399 + 1. assign V620251 = V685580. assign V151727 = V363611 - 1. assign V288047 = V955522 + 1. assign V113491 = V350288. assign V395493 = V320320. assign V588306 = V617216 + 1. assign V625568 = V935461 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V955522 = V385682 + 1. assign V909102 = V625430. assign V938679 = V664773. assign V598268 = V648016 + 1. assign V854771 = V711627 - 1. assign V293107 = V186075 + 1. assign V030359 = V821392 + 1. assign V979650 = V346690. assign V812252 = V030359 - 1. assign V912911 = V236775 + 1. assign V039867 = V812252 + 1. assign V608141 = V647655 + 1. assign V137012 = V997984 + 1. assign V302365 = V591797 + 1. assign V521154 = V617216. assign V633587 = V874117 - 1. assign V543289 = V144023. assign V320320 = V617216 - 1. assign V441180 = V144023. assign V094074 = V151727 - 1. assign V144023 = V661548. assign V130603 = V955522 - 1. assign V796894 = V769291 - 1. assign V648639 = V441180. assign V350288 = V979650 - 1. assign V685580 = V664773 + 1. assign V984938 = V685580. assign V274459 = V874117. assign V875682 = V385682. assign V576927 = V955522 + 1. assign V456531 = V385682 + 1. assign V474692 = V591797 - 1. assign V301143 = V608141 + 1. assign V534279 = V912911 - 1. assign V363611 = V456531 + 1. assign V465211 = V350288 - 1. assign V711627 = V720426 + 1. assign V661548 = V284624. assign V279101 = V769291 + 1. assign V385682 = V346690 + 1. assign V313435 = V664773. assign V089707 = V661548 - 1. assign V186075 = V874117 + 1. assign V420216 = V591797. assign V821392 = V932118 + 1. assign V498164 = V101186 + 1. assign V506860 = V608141 - 1. assign V563420 = V861306 - 1. assign V137949 = V938679 + 1. assign V648016 = V284624 + 1. assign V355600 = V854771 - 1. assign V824456 = V320320 - 1. assign V591797 = V633587 - 1. assign V664773 = V955522. assign V932118 = V874117. assign V874117 = V101186 - 1. assign V720426 = V932118 + 1. assign V457943 = V346690 + 1. assign V617216 = V457943 - 1. assign V341799 = V234771. assign V935461 = 1. assign V861306 = V617216. assign V729472 = V912911 + 1. assign V720966 = V661548 + 1. assign V381019 = V474692. assign V997984 = V457943 - 1. assign V625430 = V633587 + 1. assign V236775 = V769291. assign V284624 = V101186 + 1. assign V769291 = V711627 + 1. assign V614516 = V711627 - 1. assign V892350 = V186075 + 1. assign V541399 = V824456. assign V101186 = V457943 - 1. assign V647655 = V320320 + 1. assign V634145 = V130603. assign V539344 = V984938 - 1. assign V234771 = V633587 + 1. assign V816600 = V541399 + 1. assign V620251 = V685580. assign V151727 = V363611 - 1. assign V288047 = V955522 + 1. assign V113491 = V350288. assign V395493 = V320320. assign V588306 = V617216 + 1. assign V625568 = V935461 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV935461 = 1;\n\nFrom these direct assignment(s), we have: \nV625568 = V935461 + 1 = 1 + 1 =2;\nNo other variables can be derived from V625568;\nNo other variables can be derived from V935461;\n\nNow we have done all the calculations. Derived variables are:\nV935461 = 1;\nV625568 = 2;\n\nNow we have finished this problem. ANSWER:\nV935461\n", "role": "assistant" } ]

[ "V618634", "V267868" ]

[ { "content": "<context>\nassign V222646 = V753446. assign V343994 = V386983. assign V753446 = V220020 + 1. assign V248645 = V090851 - 1. assign V322606 = V196248. assign V915986 = V732458 + 1. assign V120456 = V584862 - 1. assign V925342 = V436764 - 1. assign V262627 = V722000. assign V436764 = V619316 + 1. assign V697368 = V417710 + 1. assign V009869 = V386983 - 1. assign V665020 = V971551. assign V017745 = V618831 + 1. assign V050078 = V971551 + 1. assign V185984 = V196248. assign V187670 = V382774 + 1. assign V476328 = V292918 - 1. assign V386983 = V722000 - 1. assign V619316 = V292918 - 1. assign V051113 = V697368 - 1. assign V267868 = V618634. assign V771932 = V955354 - 1. assign V280550 = V458016 + 1. assign V065866 = V905185. assign V090572 = V065866. assign V481732 = V382774. assign V276536 = V243946. assign V458016 = V584862 + 1. assign V930451 = V849544 + 1. assign V108689 = V243946 - 1. assign V795750 = V243946 + 1. assign V548111 = V065866 - 1. assign V191946 = V529481. assign V732458 = V196248. assign V696867 = V386983 - 1. assign V843694 = V135349 + 1. assign V026686 = V120456. assign V406864 = V329287 - 1. assign V135349 = V619316 + 1. assign V905185 = V630175. assign V292918 = V995332 + 1. assign V522816 = V386983 - 1. assign V882239 = V051113 + 1. assign V763840 = V630175. assign V196248 = V476328 - 1. assign V832243 = V930451. assign V050655 = V732458 + 1. assign V019846 = V859796 - 1. assign V859796 = V849544 + 1. assign V955354 = V930451 + 1. assign V849544 = V476328. assign V402528 = V386983. assign V618634 = 2. assign V480490 = V522816 + 1. assign V668876 = V094434 + 1. assign V971551 = V292918 + 1. assign V470102 = V872767 - 1. assign V169382 = V196248 - 1. assign V602750 = V094434 + 1. assign V529481 = V795750 - 1. assign V097832 = V402528. assign V630175 = V196248 + 1. assign V921778 = V722000 - 1. assign V584862 = V292918 + 1. assign V182434 = V553973 + 1. assign V382774 = V051113 - 1. assign V417710 = V995332 - 1. assign V220020 = V995332. assign V923135 = V753446. assign V094434 = V019846 - 1. assign V090851 = V930451 + 1. assign V556751 = V771932 - 1. assign V329287 = V995332 + 1. assign V088652 = V763840. assign V456731 = V322606 + 1. assign V722000 = V243946 + 1. assign V618831 = V386983. assign V243946 = V292918 - 1. assign V553973 = V094434. assign V661931 = V976119 + 1. assign V751982 = V668876 + 1. assign V976119 = V019846 + 1. assign V982050 = V697368 + 1. assign V872767 = V971551. assign V714802 = V406864 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V222646 = V753446. assign V343994 = V386983. assign V753446 = V220020 + 1. assign V248645 = V090851 - 1. assign V322606 = V196248. assign V915986 = V732458 + 1. assign V120456 = V584862 - 1. assign V925342 = V436764 - 1. assign V262627 = V722000. assign V436764 = V619316 + 1. assign V697368 = V417710 + 1. assign V009869 = V386983 - 1. assign V665020 = V971551. assign V017745 = V618831 + 1. assign V050078 = V971551 + 1. assign V185984 = V196248. assign V187670 = V382774 + 1. assign V476328 = V292918 - 1. assign V386983 = V722000 - 1. assign V619316 = V292918 - 1. assign V051113 = V697368 - 1. assign V267868 = V618634. assign V771932 = V955354 - 1. assign V280550 = V458016 + 1. assign V065866 = V905185. assign V090572 = V065866. assign V481732 = V382774. assign V276536 = V243946. assign V458016 = V584862 + 1. assign V930451 = V849544 + 1. assign V108689 = V243946 - 1. assign V795750 = V243946 + 1. assign V548111 = V065866 - 1. assign V191946 = V529481. assign V732458 = V196248. assign V696867 = V386983 - 1. assign V843694 = V135349 + 1. assign V026686 = V120456. assign V406864 = V329287 - 1. assign V135349 = V619316 + 1. assign V905185 = V630175. assign V292918 = V995332 + 1. assign V522816 = V386983 - 1. assign V882239 = V051113 + 1. assign V763840 = V630175. assign V196248 = V476328 - 1. assign V832243 = V930451. assign V050655 = V732458 + 1. assign V019846 = V859796 - 1. assign V859796 = V849544 + 1. assign V955354 = V930451 + 1. assign V849544 = V476328. assign V402528 = V386983. assign V618634 = 2. assign V480490 = V522816 + 1. assign V668876 = V094434 + 1. assign V971551 = V292918 + 1. assign V470102 = V872767 - 1. assign V169382 = V196248 - 1. assign V602750 = V094434 + 1. assign V529481 = V795750 - 1. assign V097832 = V402528. assign V630175 = V196248 + 1. assign V921778 = V722000 - 1. assign V584862 = V292918 + 1. assign V182434 = V553973 + 1. assign V382774 = V051113 - 1. assign V417710 = V995332 - 1. assign V220020 = V995332. assign V923135 = V753446. assign V094434 = V019846 - 1. assign V090851 = V930451 + 1. assign V556751 = V771932 - 1. assign V329287 = V995332 + 1. assign V088652 = V763840. assign V456731 = V322606 + 1. assign V722000 = V243946 + 1. assign V618831 = V386983. assign V243946 = V292918 - 1. assign V553973 = V094434. assign V661931 = V976119 + 1. assign V751982 = V668876 + 1. assign V976119 = V019846 + 1. assign V982050 = V697368 + 1. assign V872767 = V971551. assign V714802 = V406864 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV618634 = 2;\n\nFrom these direct assignment(s), we have: \nV267868 = V618634 = 2;\nNo other variables can be derived from V267868;\nNo other variables can be derived from V618634;\n\nNow we have done all the calculations. Derived variables are:\nV618634 = 2;\nV267868 = 2;\n\nNow we have finished this problem. ANSWER:\nV618634, V267868\n", "role": "assistant" } ]

[ "V875149" ]

[ { "content": "<context>\nassign V749932 = V173321 - 1. assign V482246 = V935439. assign V072784 = V809361. assign V827819 = V293282. assign V684962 = V827819. assign V427656 = V777268. assign V328893 = V645461. assign V912745 = V890729 + 1. assign V264145 = V551785 - 1. assign V961646 = V312573. assign V936367 = V306038 + 1. assign V696128 = V935439. assign V173321 = V696128 - 1. assign V541807 = V754399 + 1. assign V294769 = V631546 + 1. assign V950758 = V309593 - 1. assign V890729 = V696128 - 1. assign V974584 = V935439 + 1. assign V726600 = 8. assign V097092 = V293282. assign V386993 = V072784 - 1. assign V875149 = V726600 + 1. assign V306615 = V716788 + 1. assign V386713 = V141528 - 1. assign V458696 = V097092. assign V309593 = V754399 - 1. assign V165490 = V827819 + 1. assign V395143 = V700555 + 1. assign V911260 = V684962 - 1. assign V602807 = V696128. assign V673673 = V114353 - 1. assign V668754 = V114353 - 1. assign V551785 = V114353. assign V609883 = V331015 + 1. assign V700555 = V327213 - 1. assign V632888 = V551785 - 1. assign V071024 = V309593 + 1. assign V645461 = V114353 - 1. assign V475796 = V038273 + 1. assign V621977 = V264145 - 1. assign V940229 = V399299 + 1. assign V673566 = V673673 - 1. assign V208617 = V961646 + 1. assign V808593 = V072784. assign V713404 = V489601. assign V217249 = V632888 - 1. assign V631546 = V293282. assign V312573 = V609883 + 1. assign V327213 = V673566 + 1. assign V519738 = V331015 + 1. assign V331015 = V293282 + 1. assign V104495 = V455587 - 1. assign V935439 = V551785 + 1. assign V754399 = V114353. assign V853459 = V306038 - 1. assign V716788 = V482246 + 1. assign V489601 = V890729. assign V011447 = V631546 - 1. assign V754253 = V072784 - 1. assign V262118 = V668754 - 1. assign V809361 = V331015 + 1. assign V399299 = V262118 + 1. assign V069926 = V696128 - 1. assign V159579 = V328893 - 1. assign V014016 = V573297 - 1. assign V429366 = V217249. assign V791890 = V032610 + 1. assign V293282 = V262118 - 1. assign V897357 = V809361 + 1. assign V495482 = V573297 + 1. assign V306038 = V890729. assign V032610 = V072784. assign V433653 = V609883 + 1. assign V747335 = V386993 + 1. assign V777268 = V791890 + 1. assign V573297 = V827819 + 1. assign V918054 = V747335. assign V697221 = V754399. assign V011188 = V165490 + 1. assign V410672 = V791890. assign V861684 = V011188 + 1. assign V141528 = V809361. assign V414324 = V032610 + 1. assign V455587 = V482246 + 1. assign V658464 = V114353. assign V038273 = V069926 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V749932 = V173321 - 1. assign V482246 = V935439. assign V072784 = V809361. assign V827819 = V293282. assign V684962 = V827819. assign V427656 = V777268. assign V328893 = V645461. assign V912745 = V890729 + 1. assign V264145 = V551785 - 1. assign V961646 = V312573. assign V936367 = V306038 + 1. assign V696128 = V935439. assign V173321 = V696128 - 1. assign V541807 = V754399 + 1. assign V294769 = V631546 + 1. assign V950758 = V309593 - 1. assign V890729 = V696128 - 1. assign V974584 = V935439 + 1. assign V726600 = 8. assign V097092 = V293282. assign V386993 = V072784 - 1. assign V875149 = V726600 + 1. assign V306615 = V716788 + 1. assign V386713 = V141528 - 1. assign V458696 = V097092. assign V309593 = V754399 - 1. assign V165490 = V827819 + 1. assign V395143 = V700555 + 1. assign V911260 = V684962 - 1. assign V602807 = V696128. assign V673673 = V114353 - 1. assign V668754 = V114353 - 1. assign V551785 = V114353. assign V609883 = V331015 + 1. assign V700555 = V327213 - 1. assign V632888 = V551785 - 1. assign V071024 = V309593 + 1. assign V645461 = V114353 - 1. assign V475796 = V038273 + 1. assign V621977 = V264145 - 1. assign V940229 = V399299 + 1. assign V673566 = V673673 - 1. assign V208617 = V961646 + 1. assign V808593 = V072784. assign V713404 = V489601. assign V217249 = V632888 - 1. assign V631546 = V293282. assign V312573 = V609883 + 1. assign V327213 = V673566 + 1. assign V519738 = V331015 + 1. assign V331015 = V293282 + 1. assign V104495 = V455587 - 1. assign V935439 = V551785 + 1. assign V754399 = V114353. assign V853459 = V306038 - 1. assign V716788 = V482246 + 1. assign V489601 = V890729. assign V011447 = V631546 - 1. assign V754253 = V072784 - 1. assign V262118 = V668754 - 1. assign V809361 = V331015 + 1. assign V399299 = V262118 + 1. assign V069926 = V696128 - 1. assign V159579 = V328893 - 1. assign V014016 = V573297 - 1. assign V429366 = V217249. assign V791890 = V032610 + 1. assign V293282 = V262118 - 1. assign V897357 = V809361 + 1. assign V495482 = V573297 + 1. assign V306038 = V890729. assign V032610 = V072784. assign V433653 = V609883 + 1. assign V747335 = V386993 + 1. assign V777268 = V791890 + 1. assign V573297 = V827819 + 1. assign V918054 = V747335. assign V697221 = V754399. assign V011188 = V165490 + 1. assign V410672 = V791890. assign V861684 = V011188 + 1. assign V141528 = V809361. assign V414324 = V032610 + 1. assign V455587 = V482246 + 1. assign V658464 = V114353. assign V038273 = V069926 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV726600 = 8;\n\nFrom these direct assignment(s), we have: \nV875149 = V726600 + 1 = 8 + 1 =9;\nNo other variables can be derived from V875149;\nNo other variables can be derived from V726600;\n\nNow we have done all the calculations. Derived variables are:\nV726600 = 8;\nV875149 = 9;\n\nNow we have finished this problem. ANSWER:\nV875149\n", "role": "assistant" } ]

[ "V479778", "V784729" ]

[ { "content": "<context>\nassign V408639 = V545113. assign V544475 = V111000 - 1. assign V039151 = V658900 - 1. assign V974740 = V236838. assign V647202 = V236838 - 1. assign V387615 = V236838 + 1. assign V198308 = V010219 + 1. assign V202715 = V301319 + 1. assign V185449 = V469579 - 1. assign V181178 = V270423. assign V723107 = V219820 - 1. assign V148234 = V469579 + 1. assign V226797 = V493546 - 1. assign V688371 = V219820. assign V661672 = V128051 + 1. assign V219064 = V093819. assign V301319 = V749434. assign V613377 = V128051. assign V455633 = V658900 - 1. assign V524953 = V469579 - 1. assign V427740 = V552381 + 1. assign V122823 = V111000 + 1. assign V401728 = V339868 - 1. assign V014751 = V401886. assign V690510 = V914760 - 1. assign V010219 = V039151 - 1. assign V479778 = 9. assign V552381 = V401886 - 1. assign V832455 = V401886 + 1. assign V314586 = V181178 - 1. assign V367711 = V690555 + 1. assign V396368 = V469579. assign V618950 = V093819. assign V159180 = V688371 + 1. assign V195007 = V211620 - 1. assign V602873 = V401886 - 1. assign V433227 = V503679 - 1. assign V658900 = V219820 + 1. assign V608681 = V396368. assign V579018 = V503679 - 1. assign V082936 = V181178 - 1. assign V038127 = V645832 + 1. assign V008884 = V552381 - 1. assign V111000 = V401886 + 1. assign V058517 = V645832 + 1. assign V907404 = V514413 - 1. assign V461358 = V832455. assign V730994 = V544475 + 1. assign V919067 = V493546 - 1. assign V339868 = V524953 + 1. assign V480376 = V749434 + 1. assign V914760 = V493546 - 1. assign V645832 = V602873 - 1. assign V749434 = V469579 - 1. assign V584848 = V185449. assign V209275 = V082936. assign V888958 = V209275 + 1. assign V434016 = V552381 - 1. assign V503095 = V800553. assign V128051 = V219064. assign V469579 = V236838. assign V789034 = V270423. assign V514413 = V749434. assign V219820 = V401886 - 1. assign V365615 = V339868 - 1. assign V545113 = V618950. assign V647881 = V647202 + 1. assign V734699 = V434016 - 1. assign V503679 = V050474 + 1. assign V882678 = V270423. assign V800553 = V974740 - 1. assign V236838 = V401886. assign V050474 = V236838. assign V731594 = V503095 - 1. assign V093819 = V602873 - 1. assign V784729 = V479778. assign V779161 = V434016 - 1. assign V959082 = V181178. assign V270423 = V974740 + 1. assign V474558 = V128051 - 1. assign V051662 = V832455. assign V303394 = V959082. assign V493546 = V974740 + 1. assign V690555 = V658900. assign V968698 = V645832 - 1. assign V211620 = V339868 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V408639 = V545113. assign V544475 = V111000 - 1. assign V039151 = V658900 - 1. assign V974740 = V236838. assign V647202 = V236838 - 1. assign V387615 = V236838 + 1. assign V198308 = V010219 + 1. assign V202715 = V301319 + 1. assign V185449 = V469579 - 1. assign V181178 = V270423. assign V723107 = V219820 - 1. assign V148234 = V469579 + 1. assign V226797 = V493546 - 1. assign V688371 = V219820. assign V661672 = V128051 + 1. assign V219064 = V093819. assign V301319 = V749434. assign V613377 = V128051. assign V455633 = V658900 - 1. assign V524953 = V469579 - 1. assign V427740 = V552381 + 1. assign V122823 = V111000 + 1. assign V401728 = V339868 - 1. assign V014751 = V401886. assign V690510 = V914760 - 1. assign V010219 = V039151 - 1. assign V479778 = 9. assign V552381 = V401886 - 1. assign V832455 = V401886 + 1. assign V314586 = V181178 - 1. assign V367711 = V690555 + 1. assign V396368 = V469579. assign V618950 = V093819. assign V159180 = V688371 + 1. assign V195007 = V211620 - 1. assign V602873 = V401886 - 1. assign V433227 = V503679 - 1. assign V658900 = V219820 + 1. assign V608681 = V396368. assign V579018 = V503679 - 1. assign V082936 = V181178 - 1. assign V038127 = V645832 + 1. assign V008884 = V552381 - 1. assign V111000 = V401886 + 1. assign V058517 = V645832 + 1. assign V907404 = V514413 - 1. assign V461358 = V832455. assign V730994 = V544475 + 1. assign V919067 = V493546 - 1. assign V339868 = V524953 + 1. assign V480376 = V749434 + 1. assign V914760 = V493546 - 1. assign V645832 = V602873 - 1. assign V749434 = V469579 - 1. assign V584848 = V185449. assign V209275 = V082936. assign V888958 = V209275 + 1. assign V434016 = V552381 - 1. assign V503095 = V800553. assign V128051 = V219064. assign V469579 = V236838. assign V789034 = V270423. assign V514413 = V749434. assign V219820 = V401886 - 1. assign V365615 = V339868 - 1. assign V545113 = V618950. assign V647881 = V647202 + 1. assign V734699 = V434016 - 1. assign V503679 = V050474 + 1. assign V882678 = V270423. assign V800553 = V974740 - 1. assign V236838 = V401886. assign V050474 = V236838. assign V731594 = V503095 - 1. assign V093819 = V602873 - 1. assign V784729 = V479778. assign V779161 = V434016 - 1. assign V959082 = V181178. assign V270423 = V974740 + 1. assign V474558 = V128051 - 1. assign V051662 = V832455. assign V303394 = V959082. assign V493546 = V974740 + 1. assign V690555 = V658900. assign V968698 = V645832 - 1. assign V211620 = V339868 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV479778 = 9;\n\nFrom these direct assignment(s), we have: \nV784729 = V479778 = 9;\nNo other variables can be derived from V784729;\nNo other variables can be derived from V479778;\n\nNow we have done all the calculations. Derived variables are:\nV479778 = 9;\nV784729 = 9;\n\nNow we have finished this problem. ANSWER:\nV479778, V784729\n", "role": "assistant" } ]

[ "V639291" ]

[ { "content": "<context>\nassign V820744 = V624984 - 1. assign V248703 = V333337 - 1. assign V028604 = V823588. assign V066182 = V820744 + 1. assign V037441 = V296089 - 1. assign V489556 = V823588 - 1. assign V768004 = V964713 - 1. assign V402826 = V537347. assign V942396 = V537347. assign V406286 = V721841 + 1. assign V270667 = V624984 - 1. assign V291970 = V296089. assign V307206 = V261061 - 1. assign V559749 = V421127. assign V633472 = V353803. assign V353667 = V107658 - 1. assign V215228 = V624984. assign V286428 = V080393 - 1. assign V315576 = V551053 + 1. assign V091374 = V080393. assign V701586 = V792499. assign V995506 = V956096 + 1. assign V261061 = V956096 + 1. assign V425714 = V956096 - 1. assign V408163 = V140516. assign V107658 = V408482 - 1. assign V387517 = V592397 - 1. assign V964713 = V296089. assign V682907 = V624984. assign V721841 = V261061 - 1. assign V325313 = V682907 - 1. assign V153581 = V402948. assign V211705 = V291970. assign V313941 = V406286 - 1. assign V823588 = V995506 - 1. assign V984213 = V537347. assign V675306 = V333337 + 1. assign V639291 = V672610 + 1. assign V777247 = V984213 + 1. assign V847394 = V777247 + 1. assign V447288 = V425714 + 1. assign V291328 = V989358 + 1. assign V811280 = V682907. assign V192833 = V421127 + 1. assign V913305 = V291970 + 1. assign V235913 = V307206 + 1. assign V333337 = V215228. assign V402948 = V296089 - 1. assign V869496 = V956096 - 1. assign V353803 = V624984. assign V252711 = V958154 + 1. assign V510795 = V675306. assign V677573 = V386335 + 1. assign V973077 = V333337 - 1. assign V365729 = V107658 + 1. assign V551053 = V387517. assign V672610 = 8. assign V222152 = V296089 + 1. assign V631759 = V675306 + 1. assign V080393 = V291970 + 1. assign V537347 = V387517 - 1. assign V386335 = V082818. assign V404787 = V291328 + 1. assign V140516 = V353667 - 1. assign V121286 = V353803 + 1. assign V296089 = V215228 - 1. assign V219975 = V286428 - 1. assign V098135 = V792499 - 1. assign V719766 = V252711 + 1. assign V143129 = V820744 + 1. assign V624984 = V408482 - 1. assign V092662 = V537347 + 1. assign V956096 = V333337 - 1. assign V082818 = V261061 - 1. assign V958154 = V624984. assign V574797 = V270667 + 1. assign V989358 = V624984 - 1. assign V615867 = V958154. assign V421127 = V296089. assign V203342 = V408482. assign V792499 = V107658. assign V592397 = V333337 - 1. assign V843442 = V211705 + 1. assign V874942 = V425714 - 1. assign V672483 = V203342. assign V199395 = V592397 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V820744 = V624984 - 1. assign V248703 = V333337 - 1. assign V028604 = V823588. assign V066182 = V820744 + 1. assign V037441 = V296089 - 1. assign V489556 = V823588 - 1. assign V768004 = V964713 - 1. assign V402826 = V537347. assign V942396 = V537347. assign V406286 = V721841 + 1. assign V270667 = V624984 - 1. assign V291970 = V296089. assign V307206 = V261061 - 1. assign V559749 = V421127. assign V633472 = V353803. assign V353667 = V107658 - 1. assign V215228 = V624984. assign V286428 = V080393 - 1. assign V315576 = V551053 + 1. assign V091374 = V080393. assign V701586 = V792499. assign V995506 = V956096 + 1. assign V261061 = V956096 + 1. assign V425714 = V956096 - 1. assign V408163 = V140516. assign V107658 = V408482 - 1. assign V387517 = V592397 - 1. assign V964713 = V296089. assign V682907 = V624984. assign V721841 = V261061 - 1. assign V325313 = V682907 - 1. assign V153581 = V402948. assign V211705 = V291970. assign V313941 = V406286 - 1. assign V823588 = V995506 - 1. assign V984213 = V537347. assign V675306 = V333337 + 1. assign V639291 = V672610 + 1. assign V777247 = V984213 + 1. assign V847394 = V777247 + 1. assign V447288 = V425714 + 1. assign V291328 = V989358 + 1. assign V811280 = V682907. assign V192833 = V421127 + 1. assign V913305 = V291970 + 1. assign V235913 = V307206 + 1. assign V333337 = V215228. assign V402948 = V296089 - 1. assign V869496 = V956096 - 1. assign V353803 = V624984. assign V252711 = V958154 + 1. assign V510795 = V675306. assign V677573 = V386335 + 1. assign V973077 = V333337 - 1. assign V365729 = V107658 + 1. assign V551053 = V387517. assign V672610 = 8. assign V222152 = V296089 + 1. assign V631759 = V675306 + 1. assign V080393 = V291970 + 1. assign V537347 = V387517 - 1. assign V386335 = V082818. assign V404787 = V291328 + 1. assign V140516 = V353667 - 1. assign V121286 = V353803 + 1. assign V296089 = V215228 - 1. assign V219975 = V286428 - 1. assign V098135 = V792499 - 1. assign V719766 = V252711 + 1. assign V143129 = V820744 + 1. assign V624984 = V408482 - 1. assign V092662 = V537347 + 1. assign V956096 = V333337 - 1. assign V082818 = V261061 - 1. assign V958154 = V624984. assign V574797 = V270667 + 1. assign V989358 = V624984 - 1. assign V615867 = V958154. assign V421127 = V296089. assign V203342 = V408482. assign V792499 = V107658. assign V592397 = V333337 - 1. assign V843442 = V211705 + 1. assign V874942 = V425714 - 1. assign V672483 = V203342. assign V199395 = V592397 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV672610 = 8;\n\nFrom these direct assignment(s), we have: \nV639291 = V672610 + 1 = 8 + 1 =9;\nNo other variables can be derived from V639291;\nNo other variables can be derived from V672610;\n\nNow we have done all the calculations. Derived variables are:\nV672610 = 8;\nV639291 = 9;\n\nNow we have finished this problem. ANSWER:\nV639291\n", "role": "assistant" } ]

[ "V273757", "V226960" ]

[ { "content": "<context>\nassign V767269 = V905185 + 1. assign V909550 = V671460 - 1. assign V066608 = V580654 + 1. assign V404092 = V934087. assign V476139 = V941318 + 1. assign V863391 = V767269 + 1. assign V580654 = V767269. assign V725078 = V000261 - 1. assign V024747 = V245851 + 1. assign V941801 = V671460 - 1. assign V861380 = V365892. assign V326551 = V725078. assign V940770 = V509483 + 1. assign V078906 = V509483 - 1. assign V371905 = V231988 - 1. assign V859514 = V940770. assign V273757 = 9. assign V927170 = V823991 - 1. assign V825923 = V767269. assign V905185 = V177710 - 1. assign V362406 = V905185 + 1. assign V157851 = V548461. assign V828872 = V934087 + 1. assign V019065 = V362406 - 1. assign V731253 = V078906. assign V365892 = V759468 + 1. assign V374433 = V941318. assign V231988 = V157851. assign V222307 = V177710. assign V059953 = V882965. assign V547277 = V040966. assign V452645 = V019436. assign V031626 = V000261 - 1. assign V709697 = V548461 + 1. assign V753386 = V261341 + 1. assign V462366 = V759468. assign V882965 = V177710 + 1. assign V245851 = V392414. assign V408323 = V828872 + 1. assign V746223 = V927170 + 1. assign V759468 = V882965 - 1. assign V509483 = V961957 + 1. assign V543225 = V078906 + 1. assign V671460 = V312443 + 1. assign V218770 = V098163. assign V950345 = V882965. assign V536606 = V024747 + 1. assign V892027 = V845070 + 1. assign V439524 = V222307. assign V306930 = V177710. assign V144168 = V839852. assign V885078 = V177710. assign V537976 = V245851 - 1. assign V514201 = V941801 - 1. assign V309188 = V753386 + 1. assign V226960 = V273757. assign V845070 = V722325 + 1. assign V212793 = V548461 - 1. assign V826112 = V261341 + 1. assign V392414 = V823991. assign V261341 = V722325 + 1. assign V275369 = V941801 - 1. assign V645354 = V392414 + 1. assign V195646 = V961957 + 1. assign V605844 = V365892. assign V774323 = V905185 + 1. assign V177710 = V823991 + 1. assign V368323 = V019065. assign V019436 = V177710 - 1. assign V839852 = V078906 - 1. assign V160236 = V509483 + 1. assign V098163 = V374433 + 1. assign V312443 = V722325 + 1. assign V040966 = V452645. assign V097523 = V305423. assign V934087 = V709697 + 1. assign V722325 = V823991 - 1. assign V000261 = V722325 - 1. assign V941318 = V245851 - 1. assign V305423 = V722325 + 1. assign V805156 = V767269 + 1. assign V724889 = V144168. assign V639116 = V245851. assign V656405 = V019436 - 1. assign V548461 = V312443 + 1. assign V961957 = V941318 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V767269 = V905185 + 1. assign V909550 = V671460 - 1. assign V066608 = V580654 + 1. assign V404092 = V934087. assign V476139 = V941318 + 1. assign V863391 = V767269 + 1. assign V580654 = V767269. assign V725078 = V000261 - 1. assign V024747 = V245851 + 1. assign V941801 = V671460 - 1. assign V861380 = V365892. assign V326551 = V725078. assign V940770 = V509483 + 1. assign V078906 = V509483 - 1. assign V371905 = V231988 - 1. assign V859514 = V940770. assign V273757 = 9. assign V927170 = V823991 - 1. assign V825923 = V767269. assign V905185 = V177710 - 1. assign V362406 = V905185 + 1. assign V157851 = V548461. assign V828872 = V934087 + 1. assign V019065 = V362406 - 1. assign V731253 = V078906. assign V365892 = V759468 + 1. assign V374433 = V941318. assign V231988 = V157851. assign V222307 = V177710. assign V059953 = V882965. assign V547277 = V040966. assign V452645 = V019436. assign V031626 = V000261 - 1. assign V709697 = V548461 + 1. assign V753386 = V261341 + 1. assign V462366 = V759468. assign V882965 = V177710 + 1. assign V245851 = V392414. assign V408323 = V828872 + 1. assign V746223 = V927170 + 1. assign V759468 = V882965 - 1. assign V509483 = V961957 + 1. assign V543225 = V078906 + 1. assign V671460 = V312443 + 1. assign V218770 = V098163. assign V950345 = V882965. assign V536606 = V024747 + 1. assign V892027 = V845070 + 1. assign V439524 = V222307. assign V306930 = V177710. assign V144168 = V839852. assign V885078 = V177710. assign V537976 = V245851 - 1. assign V514201 = V941801 - 1. assign V309188 = V753386 + 1. assign V226960 = V273757. assign V845070 = V722325 + 1. assign V212793 = V548461 - 1. assign V826112 = V261341 + 1. assign V392414 = V823991. assign V261341 = V722325 + 1. assign V275369 = V941801 - 1. assign V645354 = V392414 + 1. assign V195646 = V961957 + 1. assign V605844 = V365892. assign V774323 = V905185 + 1. assign V177710 = V823991 + 1. assign V368323 = V019065. assign V019436 = V177710 - 1. assign V839852 = V078906 - 1. assign V160236 = V509483 + 1. assign V098163 = V374433 + 1. assign V312443 = V722325 + 1. assign V040966 = V452645. assign V097523 = V305423. assign V934087 = V709697 + 1. assign V722325 = V823991 - 1. assign V000261 = V722325 - 1. assign V941318 = V245851 - 1. assign V305423 = V722325 + 1. assign V805156 = V767269 + 1. assign V724889 = V144168. assign V639116 = V245851. assign V656405 = V019436 - 1. assign V548461 = V312443 + 1. assign V961957 = V941318 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV273757 = 9;\n\nFrom these direct assignment(s), we have: \nV226960 = V273757 = 9;\nNo other variables can be derived from V226960;\nNo other variables can be derived from V273757;\n\nNow we have done all the calculations. Derived variables are:\nV273757 = 9;\nV226960 = 9;\n\nNow we have finished this problem. ANSWER:\nV273757, V226960\n", "role": "assistant" } ]

[ "V009171", "V875356" ]

[ { "content": "<context>\nassign V380254 = V213419. assign V419629 = V518798 - 1. assign V831435 = V844310. assign V539216 = V492633 + 1. assign V525275 = V028072 + 1. assign V755416 = V122997 + 1. assign V037846 = V968423 + 1. assign V065992 = V028072. assign V875356 = V009171. assign V449252 = V120562 + 1. assign V679831 = V349581 + 1. assign V009171 = 6. assign V611185 = V887483 + 1. assign V213419 = V530243 + 1. assign V023260 = V679831. assign V746558 = V287443 + 1. assign V612068 = V004885. assign V042160 = V264422. assign V782994 = V648927 - 1. assign V114883 = V679831. assign V968456 = V843260 + 1. assign V147651 = V539216 - 1. assign V881546 = V287443 + 1. assign V530243 = V368853. assign V561278 = V916389. assign V026536 = V821943 - 1. assign V349581 = V887483. assign V139385 = V831435 + 1. assign V675599 = V028072 + 1. assign V555760 = V349581. assign V584719 = V648927 - 1. assign V688554 = V230950 - 1. assign V253000 = V916389 + 1. assign V610916 = V518798 - 1. assign V916389 = V264366 + 1. assign V844310 = V518798 + 1. assign V364989 = V287443. assign V014063 = V755416. assign V254431 = V675599. assign V744315 = V025895 + 1. assign V120562 = V968423. assign V887483 = V368853. assign V450946 = V368853. assign V280841 = V843260 + 1. assign V821943 = V287443 - 1. assign V649900 = V672539 - 1. assign V004885 = V449252 + 1. assign V886178 = V037846 - 1. assign V751572 = V755416. assign V460992 = V881546 - 1. assign V767741 = V065992 - 1. assign V202218 = V886178. assign V774518 = V679831. assign V816475 = V530243. assign V594569 = V120562 + 1. assign V247816 = V530243. assign V791659 = V705804. assign V368853 = V968423 - 1. assign V025895 = V968423 - 1. assign V775855 = V881546 + 1. assign V492633 = V841262. assign V287443 = V368853 + 1. assign V086308 = V675599. assign V186948 = V685547. assign V399811 = V679831. assign V228046 = V746558. assign V230950 = V518798. assign V705804 = V114883 - 1. assign V748784 = V399811 - 1. assign V179543 = V530243 + 1. assign V648927 = V314306. assign V264366 = V449252. assign V518798 = V349581 - 1. assign V843260 = V122997 + 1. assign V672539 = V968423 - 1. assign V028072 = V746558. assign V387952 = V264366. assign V841262 = V264366 + 1. assign V305890 = V449252 + 1. assign V122997 = V685547 + 1. assign V557617 = V364989. assign V239319 = V230950. assign V024007 = V557617. assign V264422 = V387952. assign V314306 = V287443 - 1. assign V685547 = V287443 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V380254 = V213419. assign V419629 = V518798 - 1. assign V831435 = V844310. assign V539216 = V492633 + 1. assign V525275 = V028072 + 1. assign V755416 = V122997 + 1. assign V037846 = V968423 + 1. assign V065992 = V028072. assign V875356 = V009171. assign V449252 = V120562 + 1. assign V679831 = V349581 + 1. assign V009171 = 6. assign V611185 = V887483 + 1. assign V213419 = V530243 + 1. assign V023260 = V679831. assign V746558 = V287443 + 1. assign V612068 = V004885. assign V042160 = V264422. assign V782994 = V648927 - 1. assign V114883 = V679831. assign V968456 = V843260 + 1. assign V147651 = V539216 - 1. assign V881546 = V287443 + 1. assign V530243 = V368853. assign V561278 = V916389. assign V026536 = V821943 - 1. assign V349581 = V887483. assign V139385 = V831435 + 1. assign V675599 = V028072 + 1. assign V555760 = V349581. assign V584719 = V648927 - 1. assign V688554 = V230950 - 1. assign V253000 = V916389 + 1. assign V610916 = V518798 - 1. assign V916389 = V264366 + 1. assign V844310 = V518798 + 1. assign V364989 = V287443. assign V014063 = V755416. assign V254431 = V675599. assign V744315 = V025895 + 1. assign V120562 = V968423. assign V887483 = V368853. assign V450946 = V368853. assign V280841 = V843260 + 1. assign V821943 = V287443 - 1. assign V649900 = V672539 - 1. assign V004885 = V449252 + 1. assign V886178 = V037846 - 1. assign V751572 = V755416. assign V460992 = V881546 - 1. assign V767741 = V065992 - 1. assign V202218 = V886178. assign V774518 = V679831. assign V816475 = V530243. assign V594569 = V120562 + 1. assign V247816 = V530243. assign V791659 = V705804. assign V368853 = V968423 - 1. assign V025895 = V968423 - 1. assign V775855 = V881546 + 1. assign V492633 = V841262. assign V287443 = V368853 + 1. assign V086308 = V675599. assign V186948 = V685547. assign V399811 = V679831. assign V228046 = V746558. assign V230950 = V518798. assign V705804 = V114883 - 1. assign V748784 = V399811 - 1. assign V179543 = V530243 + 1. assign V648927 = V314306. assign V264366 = V449252. assign V518798 = V349581 - 1. assign V843260 = V122997 + 1. assign V672539 = V968423 - 1. assign V028072 = V746558. assign V387952 = V264366. assign V841262 = V264366 + 1. assign V305890 = V449252 + 1. assign V122997 = V685547 + 1. assign V557617 = V364989. assign V239319 = V230950. assign V024007 = V557617. assign V264422 = V387952. assign V314306 = V287443 - 1. assign V685547 = V287443 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV009171 = 6;\n\nFrom these direct assignment(s), we have: \nV875356 = V009171 = 6;\nNo other variables can be derived from V875356;\nNo other variables can be derived from V009171;\n\nNow we have done all the calculations. Derived variables are:\nV009171 = 6;\nV875356 = 6;\n\nNow we have finished this problem. ANSWER:\nV009171, V875356\n", "role": "assistant" } ]

[ "V847795" ]

[ { "content": "<context>\nassign V160167 = V061462. assign V793186 = V766405. assign V265123 = V300188 - 1. assign V213896 = V825467 - 1. assign V671341 = V776889 - 1. assign V012127 = V553896. assign V913753 = V381014 + 1. assign V869693 = V212589 + 1. assign V151802 = V151828 - 1. assign V806222 = V213896 - 1. assign V061462 = V920674. assign V553896 = V993526. assign V381014 = V732330 + 1. assign V871120 = V450356 - 1. assign V018465 = V732330. assign V691046 = V510136 + 1. assign V269551 = V208031 + 1. assign V925279 = V450356 + 1. assign V057744 = V909556 + 1. assign V208031 = V920674. assign V178801 = V993526. assign V363347 = V558258 + 1. assign V555816 = V384349 - 1. assign V531565 = V381014. assign V555646 = V825467 - 1. assign V963675 = V057744. assign V151828 = V732330 + 1. assign V732330 = V825467 - 1. assign V537768 = V591595 - 1. assign V920674 = V474153 - 1. assign V396491 = V053500 - 1. assign V474153 = V732330 + 1. assign V650874 = V151828. assign V431263 = V363347. assign V450356 = V213896. assign V568800 = V901298 + 1. assign V384349 = V510136 + 1. assign V592991 = V057998. assign V212589 = V450356 + 1. assign V591595 = V057998. assign V246657 = V026818 - 1. assign V510136 = V819958 + 1. assign V658902 = V650874. assign V909556 = V732330 - 1. assign V776889 = V744540 - 1. assign V043253 = V300188 - 1. assign V258377 = V848207 - 1. assign V969240 = V381014 - 1. assign V077563 = V474153 - 1. assign V828895 = V384349 + 1. assign V367675 = V431263 + 1. assign V577086 = V847795 + 1. assign V954332 = V901298 - 1. assign V053500 = V366569 - 1. assign V920314 = V650874 + 1. assign V137731 = V381014. assign V744540 = V213896. assign V766405 = V825467 - 1. assign V366569 = V732330 - 1. assign V056011 = V061462. assign V558258 = V825467. assign V847795 = 10. assign V057998 = V053500 - 1. assign V342849 = V137731 + 1. assign V581000 = V555646 - 1. assign V453257 = V018465 + 1. assign V868984 = V828895 - 1. assign V026818 = V342849 + 1. assign V901298 = V381014 - 1. assign V535607 = V208031 - 1. assign V462404 = V026818 - 1. assign V231562 = V381014. assign V634968 = V178801. assign V848207 = V342849 - 1. assign V011025 = V825467. assign V791092 = V212589 + 1. assign V029829 = V453257. assign V711090 = V555646 - 1. assign V819958 = V213896 - 1. assign V300188 = V018465. assign V364775 = V592991 + 1. assign V378576 = V450356. assign V277693 = V732330 - 1. assign V993526 = V208031. assign V275263 = V231562 - 1. assign V230326 = V231562 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V160167 = V061462. assign V793186 = V766405. assign V265123 = V300188 - 1. assign V213896 = V825467 - 1. assign V671341 = V776889 - 1. assign V012127 = V553896. assign V913753 = V381014 + 1. assign V869693 = V212589 + 1. assign V151802 = V151828 - 1. assign V806222 = V213896 - 1. assign V061462 = V920674. assign V553896 = V993526. assign V381014 = V732330 + 1. assign V871120 = V450356 - 1. assign V018465 = V732330. assign V691046 = V510136 + 1. assign V269551 = V208031 + 1. assign V925279 = V450356 + 1. assign V057744 = V909556 + 1. assign V208031 = V920674. assign V178801 = V993526. assign V363347 = V558258 + 1. assign V555816 = V384349 - 1. assign V531565 = V381014. assign V555646 = V825467 - 1. assign V963675 = V057744. assign V151828 = V732330 + 1. assign V732330 = V825467 - 1. assign V537768 = V591595 - 1. assign V920674 = V474153 - 1. assign V396491 = V053500 - 1. assign V474153 = V732330 + 1. assign V650874 = V151828. assign V431263 = V363347. assign V450356 = V213896. assign V568800 = V901298 + 1. assign V384349 = V510136 + 1. assign V592991 = V057998. assign V212589 = V450356 + 1. assign V591595 = V057998. assign V246657 = V026818 - 1. assign V510136 = V819958 + 1. assign V658902 = V650874. assign V909556 = V732330 - 1. assign V776889 = V744540 - 1. assign V043253 = V300188 - 1. assign V258377 = V848207 - 1. assign V969240 = V381014 - 1. assign V077563 = V474153 - 1. assign V828895 = V384349 + 1. assign V367675 = V431263 + 1. assign V577086 = V847795 + 1. assign V954332 = V901298 - 1. assign V053500 = V366569 - 1. assign V920314 = V650874 + 1. assign V137731 = V381014. assign V744540 = V213896. assign V766405 = V825467 - 1. assign V366569 = V732330 - 1. assign V056011 = V061462. assign V558258 = V825467. assign V847795 = 10. assign V057998 = V053500 - 1. assign V342849 = V137731 + 1. assign V581000 = V555646 - 1. assign V453257 = V018465 + 1. assign V868984 = V828895 - 1. assign V026818 = V342849 + 1. assign V901298 = V381014 - 1. assign V535607 = V208031 - 1. assign V462404 = V026818 - 1. assign V231562 = V381014. assign V634968 = V178801. assign V848207 = V342849 - 1. assign V011025 = V825467. assign V791092 = V212589 + 1. assign V029829 = V453257. assign V711090 = V555646 - 1. assign V819958 = V213896 - 1. assign V300188 = V018465. assign V364775 = V592991 + 1. assign V378576 = V450356. assign V277693 = V732330 - 1. assign V993526 = V208031. assign V275263 = V231562 - 1. assign V230326 = V231562 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV847795 = 10;\n\nFrom these direct assignment(s), we have: \nV577086 = V847795 + 1 = 10 + 1 =11;\nNo other variables can be derived from V577086;\nNo other variables can be derived from V847795;\n\nNow we have done all the calculations. Derived variables are:\nV847795 = 10;\nV577086 = 11;\n\nNow we have finished this problem. ANSWER:\nV847795\n", "role": "assistant" } ]

[ "V179537", "V142776" ]

[ { "content": "<context>\nassign V107788 = V028638 + 1. assign V073639 = V657658 + 1. assign V107795 = V935527 - 1. assign V692654 = V107795 + 1. assign V063601 = V542946 - 1. assign V542946 = V028638 + 1. assign V872966 = V534926 - 1. assign V374485 = V121875 + 1. assign V394954 = V574619 - 1. assign V869228 = V657658. assign V879699 = V280195 - 1. assign V661431 = V695089. assign V122844 = V572248 - 1. assign V290780 = V047155 + 1. assign V855205 = V537967 + 1. assign V810448 = V665049 + 1. assign V767582 = V572598. assign V055049 = V046378 - 1. assign V537967 = V657658 - 1. assign V357412 = V665049 + 1. assign V028638 = V657658. assign V903495 = V542946 + 1. assign V624421 = V935527 + 1. assign V538718 = V739347. assign V142776 = V179537. assign V810574 = V759270. assign V946693 = V903495 - 1. assign V786987 = V814958 - 1. assign V783717 = V665049 - 1. assign V965761 = V935527 - 1. assign V865689 = V047155. assign V066321 = V280195. assign V515039 = V026527 + 1. assign V293111 = V665049 + 1. assign V770156 = V026527 - 1. assign V224782 = V063601 + 1. assign V602514 = V869228. assign V643889 = V287498 - 1. assign V528967 = V224782. assign V397138 = V522738 + 1. assign V064187 = V810574 + 1. assign V912954 = V374485 + 1. assign V656358 = V572248 + 1. assign V534926 = V759270 - 1. assign V572248 = V055049 - 1. assign V251520 = V270499 - 1. assign V865272 = V935527. assign V770155 = V107795 + 1. assign V814958 = V542946 - 1. assign V287498 = V293111 + 1. assign V599333 = V814958 + 1. assign V883247 = V572598 + 1. assign V026527 = V657658 + 1. assign V712289 = V759270. assign V739347 = V596882 - 1. assign V046378 = V028638 - 1. assign V759270 = V657658 + 1. assign V549642 = V538718. assign V665049 = V026527. assign V522738 = V107795 + 1. assign V280195 = V374485 + 1. assign V574619 = V965761 + 1. assign V270708 = V073639 + 1. assign V047155 = V107788 + 1. assign V448080 = V121875 + 1. assign V179537 = 2. assign V602647 = V692654 - 1. assign V948775 = V695089 + 1. assign V270499 = V814958 + 1. assign V635621 = V280195 - 1. assign V650792 = V810448. assign V695089 = V759270. assign V134822 = V635621 - 1. assign V572598 = V537967 - 1. assign V596882 = V759270. assign V121875 = V026527 + 1. assign V944796 = V307542 + 1. assign V015299 = V528967. assign V687766 = V865272. assign V897981 = V935527. assign V811285 = V066321 - 1. assign V600399 = V064187 - 1. assign V089357 = V046378. assign V307542 = V534926 - 1. assign V564718 = V865272 - 1. assign V935527 = V657658 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V107788 = V028638 + 1. assign V073639 = V657658 + 1. assign V107795 = V935527 - 1. assign V692654 = V107795 + 1. assign V063601 = V542946 - 1. assign V542946 = V028638 + 1. assign V872966 = V534926 - 1. assign V374485 = V121875 + 1. assign V394954 = V574619 - 1. assign V869228 = V657658. assign V879699 = V280195 - 1. assign V661431 = V695089. assign V122844 = V572248 - 1. assign V290780 = V047155 + 1. assign V855205 = V537967 + 1. assign V810448 = V665049 + 1. assign V767582 = V572598. assign V055049 = V046378 - 1. assign V537967 = V657658 - 1. assign V357412 = V665049 + 1. assign V028638 = V657658. assign V903495 = V542946 + 1. assign V624421 = V935527 + 1. assign V538718 = V739347. assign V142776 = V179537. assign V810574 = V759270. assign V946693 = V903495 - 1. assign V786987 = V814958 - 1. assign V783717 = V665049 - 1. assign V965761 = V935527 - 1. assign V865689 = V047155. assign V066321 = V280195. assign V515039 = V026527 + 1. assign V293111 = V665049 + 1. assign V770156 = V026527 - 1. assign V224782 = V063601 + 1. assign V602514 = V869228. assign V643889 = V287498 - 1. assign V528967 = V224782. assign V397138 = V522738 + 1. assign V064187 = V810574 + 1. assign V912954 = V374485 + 1. assign V656358 = V572248 + 1. assign V534926 = V759270 - 1. assign V572248 = V055049 - 1. assign V251520 = V270499 - 1. assign V865272 = V935527. assign V770155 = V107795 + 1. assign V814958 = V542946 - 1. assign V287498 = V293111 + 1. assign V599333 = V814958 + 1. assign V883247 = V572598 + 1. assign V026527 = V657658 + 1. assign V712289 = V759270. assign V739347 = V596882 - 1. assign V046378 = V028638 - 1. assign V759270 = V657658 + 1. assign V549642 = V538718. assign V665049 = V026527. assign V522738 = V107795 + 1. assign V280195 = V374485 + 1. assign V574619 = V965761 + 1. assign V270708 = V073639 + 1. assign V047155 = V107788 + 1. assign V448080 = V121875 + 1. assign V179537 = 2. assign V602647 = V692654 - 1. assign V948775 = V695089 + 1. assign V270499 = V814958 + 1. assign V635621 = V280195 - 1. assign V650792 = V810448. assign V695089 = V759270. assign V134822 = V635621 - 1. assign V572598 = V537967 - 1. assign V596882 = V759270. assign V121875 = V026527 + 1. assign V944796 = V307542 + 1. assign V015299 = V528967. assign V687766 = V865272. assign V897981 = V935527. assign V811285 = V066321 - 1. assign V600399 = V064187 - 1. assign V089357 = V046378. assign V307542 = V534926 - 1. assign V564718 = V865272 - 1. assign V935527 = V657658 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV179537 = 2;\n\nFrom these direct assignment(s), we have: \nV142776 = V179537 = 2;\nNo other variables can be derived from V142776;\nNo other variables can be derived from V179537;\n\nNow we have done all the calculations. Derived variables are:\nV179537 = 2;\nV142776 = 2;\n\nNow we have finished this problem. ANSWER:\nV179537, V142776\n", "role": "assistant" } ]

[ "V882243" ]

[ { "content": "<context>\nassign V104117 = V483351. assign V693885 = V174875 + 1. assign V483351 = V123636. assign V995933 = V383194 - 1. assign V029135 = V485068. assign V824888 = V087360 + 1. assign V696822 = V712596 - 1. assign V882243 = 7. assign V190509 = V060789 - 1. assign V801447 = V994591 + 1. assign V994591 = V317852 + 1. assign V827368 = V882243 - 1. assign V174875 = V372516 + 1. assign V123636 = V994591 - 1. assign V396201 = V615641 + 1. assign V413306 = V568562 - 1. assign V476802 = V375444. assign V632419 = V029135 + 1. assign V989280 = V372516 - 1. assign V712596 = V994591 + 1. assign V687882 = V135815 - 1. assign V904904 = V383194 + 1. assign V523962 = V824888 - 1. assign V506052 = V926383 - 1. assign V830345 = V383194. assign V926383 = V994591 + 1. assign V375444 = V998769. assign V568147 = V519616. assign V784783 = V174875. assign V515584 = V375444. assign V485068 = V087360 + 1. assign V843266 = V687882 + 1. assign V470233 = V692993 - 1. assign V370457 = V998769 + 1. assign V060789 = V149696. assign V669887 = V936918 + 1. assign V550817 = V936261. assign V849587 = V824888. assign V031124 = V164326. assign V615641 = V375444 + 1. assign V453103 = V300314 - 1. assign V751678 = V656520. assign V038114 = V693885. assign V476419 = V135815. assign V153191 = V824888 + 1. assign V868775 = V029135 + 1. assign V236275 = V568147. assign V087360 = V149696 - 1. assign V817727 = V488850 - 1. assign V936261 = V164326 + 1. assign V802589 = V386214. assign V372516 = V998769 - 1. assign V568562 = V372516 + 1. assign V188250 = V687882 + 1. assign V560512 = V164326 + 1. assign V161875 = V843266 + 1. assign V873036 = V087360 + 1. assign V674643 = V375444. assign V546482 = V149696 + 1. assign V692993 = V371461. assign V206140 = V974573 - 1. assign V488850 = V615641. assign V164326 = V149696 - 1. assign V383194 = V476419. assign V371461 = V149696 - 1. assign V936918 = V926383 + 1. assign V185881 = V674643 - 1. assign V300314 = V632419 + 1. assign V656520 = V687882. assign V061883 = V568147 + 1. assign V258721 = V656520 + 1. assign V859179 = V164326. assign V317852 = V372516. assign V998769 = V149696 - 1. assign V920290 = V476802. assign V974573 = V135815 - 1. assign V386214 = V994591 + 1. assign V764423 = V849587 + 1. assign V592462 = V843266. assign V145819 = V123636 - 1. assign V083594 = V164326 + 1. assign V698010 = V994591. assign V700053 = V190509 + 1. assign V519616 = V375444 + 1. assign V135815 = V149696 - 1. assign V766741 = V153191 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V104117 = V483351. assign V693885 = V174875 + 1. assign V483351 = V123636. assign V995933 = V383194 - 1. assign V029135 = V485068. assign V824888 = V087360 + 1. assign V696822 = V712596 - 1. assign V882243 = 7. assign V190509 = V060789 - 1. assign V801447 = V994591 + 1. assign V994591 = V317852 + 1. assign V827368 = V882243 - 1. assign V174875 = V372516 + 1. assign V123636 = V994591 - 1. assign V396201 = V615641 + 1. assign V413306 = V568562 - 1. assign V476802 = V375444. assign V632419 = V029135 + 1. assign V989280 = V372516 - 1. assign V712596 = V994591 + 1. assign V687882 = V135815 - 1. assign V904904 = V383194 + 1. assign V523962 = V824888 - 1. assign V506052 = V926383 - 1. assign V830345 = V383194. assign V926383 = V994591 + 1. assign V375444 = V998769. assign V568147 = V519616. assign V784783 = V174875. assign V515584 = V375444. assign V485068 = V087360 + 1. assign V843266 = V687882 + 1. assign V470233 = V692993 - 1. assign V370457 = V998769 + 1. assign V060789 = V149696. assign V669887 = V936918 + 1. assign V550817 = V936261. assign V849587 = V824888. assign V031124 = V164326. assign V615641 = V375444 + 1. assign V453103 = V300314 - 1. assign V751678 = V656520. assign V038114 = V693885. assign V476419 = V135815. assign V153191 = V824888 + 1. assign V868775 = V029135 + 1. assign V236275 = V568147. assign V087360 = V149696 - 1. assign V817727 = V488850 - 1. assign V936261 = V164326 + 1. assign V802589 = V386214. assign V372516 = V998769 - 1. assign V568562 = V372516 + 1. assign V188250 = V687882 + 1. assign V560512 = V164326 + 1. assign V161875 = V843266 + 1. assign V873036 = V087360 + 1. assign V674643 = V375444. assign V546482 = V149696 + 1. assign V692993 = V371461. assign V206140 = V974573 - 1. assign V488850 = V615641. assign V164326 = V149696 - 1. assign V383194 = V476419. assign V371461 = V149696 - 1. assign V936918 = V926383 + 1. assign V185881 = V674643 - 1. assign V300314 = V632419 + 1. assign V656520 = V687882. assign V061883 = V568147 + 1. assign V258721 = V656520 + 1. assign V859179 = V164326. assign V317852 = V372516. assign V998769 = V149696 - 1. assign V920290 = V476802. assign V974573 = V135815 - 1. assign V386214 = V994591 + 1. assign V764423 = V849587 + 1. assign V592462 = V843266. assign V145819 = V123636 - 1. assign V083594 = V164326 + 1. assign V698010 = V994591. assign V700053 = V190509 + 1. assign V519616 = V375444 + 1. assign V135815 = V149696 - 1. assign V766741 = V153191 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV882243 = 7;\n\nFrom these direct assignment(s), we have: \nV827368 = V882243 - 1 = 7 - 1 =6;\nNo other variables can be derived from V827368;\nNo other variables can be derived from V882243;\n\nNow we have done all the calculations. Derived variables are:\nV882243 = 7;\nV827368 = 6;\n\nNow we have finished this problem. ANSWER:\nV882243\n", "role": "assistant" } ]

[ "V918348" ]

[ { "content": "<context>\nassign V369835 = V271735 + 1. assign V249291 = V704720 + 1. assign V126442 = V266326 - 1. assign V424259 = V181615. assign V452445 = V650474 + 1. assign V609171 = V266326 + 1. assign V104661 = V104444 - 1. assign V745359 = V704720 - 1. assign V547946 = V984585. assign V630843 = V893360 + 1. assign V604157 = V880020 - 1. assign V538374 = V005019 - 1. assign V701454 = V452445 + 1. assign V984585 = V650474 - 1. assign V104444 = V922728 + 1. assign V904981 = V986572 + 1. assign V872374 = V196255 + 1. assign V797187 = V042480 - 1. assign V555151 = V984585. assign V718506 = V547946 + 1. assign V563095 = V986572 - 1. assign V704720 = V369026 - 1. assign V634692 = V986572 + 1. assign V186390 = V733525 + 1. assign V880020 = V650474 - 1. assign V893360 = V065689. assign V674780 = V613183 - 1. assign V266326 = V674780 - 1. assign V065689 = V650474 - 1. assign V131352 = V613183 - 1. assign V848685 = V130417. assign V130417 = V432951 + 1. assign V181615 = V613183 - 1. assign V463373 = V604157 - 1. assign V114585 = V126442. assign V910959 = V674780 + 1. assign V045066 = V452445. assign V055814 = V634692 + 1. assign V485646 = V065689. assign V271735 = V452445. assign V127789 = V704720 - 1. assign V196255 = V880020. assign V291521 = V807795 + 1. assign V109144 = V613183 + 1. assign V807795 = V065689 + 1. assign V671631 = V131352 + 1. assign V695638 = V432951. assign V581044 = V604157 + 1. assign V139072 = V114585. assign V044703 = 7. assign V922728 = V984585 + 1. assign V087112 = V674780 - 1. assign V005019 = V043139 + 1. assign V042480 = V880020. assign V432951 = V986572. assign V344884 = V196255. assign V998917 = V718506. assign V043139 = V714625 + 1. assign V722373 = V461051 - 1. assign V118131 = V065689 + 1. assign V572395 = V634692. assign V194943 = V432951 - 1. assign V223150 = V572395 + 1. assign V386039 = V369026. assign V069421 = V118131. assign V673799 = V131352 + 1. assign V063698 = V397079 + 1. assign V714625 = V604157 - 1. assign V918348 = V044703 - 1. assign V011029 = V369026. assign V289760 = V959181 - 1. assign V397079 = V572395 + 1. assign V011488 = V452445 + 1. assign V072744 = V181615 + 1. assign V130281 = V959181 - 1. assign V369026 = V452445 + 1. assign V986572 = V042480 - 1. assign V959181 = V485646. assign V733525 = V555151 + 1. assign V613183 = V880020. assign V461051 = V701454. assign V824788 = V065689 - 1. assign V934492 = V463373 - 1. assign V450080 = V701454. assign V903941 = V011029 + 1. assign V960431 = V634692 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V369835 = V271735 + 1. assign V249291 = V704720 + 1. assign V126442 = V266326 - 1. assign V424259 = V181615. assign V452445 = V650474 + 1. assign V609171 = V266326 + 1. assign V104661 = V104444 - 1. assign V745359 = V704720 - 1. assign V547946 = V984585. assign V630843 = V893360 + 1. assign V604157 = V880020 - 1. assign V538374 = V005019 - 1. assign V701454 = V452445 + 1. assign V984585 = V650474 - 1. assign V104444 = V922728 + 1. assign V904981 = V986572 + 1. assign V872374 = V196255 + 1. assign V797187 = V042480 - 1. assign V555151 = V984585. assign V718506 = V547946 + 1. assign V563095 = V986572 - 1. assign V704720 = V369026 - 1. assign V634692 = V986572 + 1. assign V186390 = V733525 + 1. assign V880020 = V650474 - 1. assign V893360 = V065689. assign V674780 = V613183 - 1. assign V266326 = V674780 - 1. assign V065689 = V650474 - 1. assign V131352 = V613183 - 1. assign V848685 = V130417. assign V130417 = V432951 + 1. assign V181615 = V613183 - 1. assign V463373 = V604157 - 1. assign V114585 = V126442. assign V910959 = V674780 + 1. assign V045066 = V452445. assign V055814 = V634692 + 1. assign V485646 = V065689. assign V271735 = V452445. assign V127789 = V704720 - 1. assign V196255 = V880020. assign V291521 = V807795 + 1. assign V109144 = V613183 + 1. assign V807795 = V065689 + 1. assign V671631 = V131352 + 1. assign V695638 = V432951. assign V581044 = V604157 + 1. assign V139072 = V114585. assign V044703 = 7. assign V922728 = V984585 + 1. assign V087112 = V674780 - 1. assign V005019 = V043139 + 1. assign V042480 = V880020. assign V432951 = V986572. assign V344884 = V196255. assign V998917 = V718506. assign V043139 = V714625 + 1. assign V722373 = V461051 - 1. assign V118131 = V065689 + 1. assign V572395 = V634692. assign V194943 = V432951 - 1. assign V223150 = V572395 + 1. assign V386039 = V369026. assign V069421 = V118131. assign V673799 = V131352 + 1. assign V063698 = V397079 + 1. assign V714625 = V604157 - 1. assign V918348 = V044703 - 1. assign V011029 = V369026. assign V289760 = V959181 - 1. assign V397079 = V572395 + 1. assign V011488 = V452445 + 1. assign V072744 = V181615 + 1. assign V130281 = V959181 - 1. assign V369026 = V452445 + 1. assign V986572 = V042480 - 1. assign V959181 = V485646. assign V733525 = V555151 + 1. assign V613183 = V880020. assign V461051 = V701454. assign V824788 = V065689 - 1. assign V934492 = V463373 - 1. assign V450080 = V701454. assign V903941 = V011029 + 1. assign V960431 = V634692 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV044703 = 7;\n\nFrom these direct assignment(s), we have: \nV918348 = V044703 - 1 = 7 - 1 =6;\nNo other variables can be derived from V918348;\nNo other variables can be derived from V044703;\n\nNow we have done all the calculations. Derived variables are:\nV044703 = 7;\nV918348 = 6;\n\nNow we have finished this problem. ANSWER:\nV918348\n", "role": "assistant" } ]

[ "V921029" ]

[ { "content": "<context>\nassign V023950 = V411862 - 1. assign V631583 = V411862 + 1. assign V228076 = V148084. assign V335280 = V312904 + 1. assign V539754 = V023950 - 1. assign V452658 = V512217 - 1. assign V923372 = V101936 - 1. assign V592883 = V760276 + 1. assign V018558 = V486044. assign V603644 = V281860 - 1. assign V466449 = V982814 + 1. assign V563103 = V041918 - 1. assign V816156 = V006191 + 1. assign V622881 = V853923 - 1. assign V059161 = V563103. assign V240064 = V035920. assign V875900 = V591356 + 1. assign V401285 = V921029 - 1. assign V415474 = V631583 + 1. assign V518278 = V041918. assign V513633 = V046219 - 1. assign V165689 = V563103 - 1. assign V066087 = V741417 + 1. assign V101936 = V993024 + 1. assign V127603 = V605845 - 1. assign V643618 = V231770 - 1. assign V411862 = V018860. assign V148084 = V591356 - 1. assign V741417 = V928893 + 1. assign V591356 = V982814 - 1. assign V827135 = V408965. assign V218774 = V466449 + 1. assign V523949 = V605845 - 1. assign V710422 = V603644. assign V019858 = V101936 + 1. assign V563152 = V383893. assign V031104 = V827135 + 1. assign V970096 = V076781 + 1. assign V104710 = V591356 + 1. assign V231770 = V473146. assign V869842 = V563103 - 1. assign V775712 = V059161 - 1. assign V766844 = V563152. assign V699896 = V942519. assign V852953 = V127603. assign V976399 = V643618. assign V928893 = V041918. assign V076781 = V013351 + 1. assign V760276 = V982814. assign V154458 = V165689 + 1. assign V921029 = 8. assign V383893 = V760276 + 1. assign V269499 = V059161 - 1. assign V670464 = V018860. assign V401087 = V875900 - 1. assign V605845 = V013351 - 1. assign V163614 = V591356 + 1. assign V618753 = V165689 + 1. assign V013351 = V312904. assign V486044 = V982814. assign V006191 = V592883 - 1. assign V847804 = V411862 + 1. assign V812136 = V618753 - 1. assign V018860 = V563103 + 1. assign V512217 = V023950. assign V354718 = V231770 + 1. assign V126193 = V165689. assign V408965 = V312904 - 1. assign V035920 = V307122 + 1. assign V473146 = V760276. assign V286582 = V741417. assign V281860 = V231770. assign V078677 = V466449 + 1. assign V853923 = V982814. assign V953483 = V618753 + 1. assign V046219 = V018860 + 1. assign V041918 = V760276 + 1. assign V993024 = V928893. assign V735867 = V019858 + 1. assign V307122 = V411862. assign V942519 = V023950 + 1. assign V312904 = V853923. assign V257006 = V076781 - 1. assign V668321 = V312904 + 1. assign V905067 = V240064 + 1. assign V506811 = V982814 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V023950 = V411862 - 1. assign V631583 = V411862 + 1. assign V228076 = V148084. assign V335280 = V312904 + 1. assign V539754 = V023950 - 1. assign V452658 = V512217 - 1. assign V923372 = V101936 - 1. assign V592883 = V760276 + 1. assign V018558 = V486044. assign V603644 = V281860 - 1. assign V466449 = V982814 + 1. assign V563103 = V041918 - 1. assign V816156 = V006191 + 1. assign V622881 = V853923 - 1. assign V059161 = V563103. assign V240064 = V035920. assign V875900 = V591356 + 1. assign V401285 = V921029 - 1. assign V415474 = V631583 + 1. assign V518278 = V041918. assign V513633 = V046219 - 1. assign V165689 = V563103 - 1. assign V066087 = V741417 + 1. assign V101936 = V993024 + 1. assign V127603 = V605845 - 1. assign V643618 = V231770 - 1. assign V411862 = V018860. assign V148084 = V591356 - 1. assign V741417 = V928893 + 1. assign V591356 = V982814 - 1. assign V827135 = V408965. assign V218774 = V466449 + 1. assign V523949 = V605845 - 1. assign V710422 = V603644. assign V019858 = V101936 + 1. assign V563152 = V383893. assign V031104 = V827135 + 1. assign V970096 = V076781 + 1. assign V104710 = V591356 + 1. assign V231770 = V473146. assign V869842 = V563103 - 1. assign V775712 = V059161 - 1. assign V766844 = V563152. assign V699896 = V942519. assign V852953 = V127603. assign V976399 = V643618. assign V928893 = V041918. assign V076781 = V013351 + 1. assign V760276 = V982814. assign V154458 = V165689 + 1. assign V921029 = 8. assign V383893 = V760276 + 1. assign V269499 = V059161 - 1. assign V670464 = V018860. assign V401087 = V875900 - 1. assign V605845 = V013351 - 1. assign V163614 = V591356 + 1. assign V618753 = V165689 + 1. assign V013351 = V312904. assign V486044 = V982814. assign V006191 = V592883 - 1. assign V847804 = V411862 + 1. assign V812136 = V618753 - 1. assign V018860 = V563103 + 1. assign V512217 = V023950. assign V354718 = V231770 + 1. assign V126193 = V165689. assign V408965 = V312904 - 1. assign V035920 = V307122 + 1. assign V473146 = V760276. assign V286582 = V741417. assign V281860 = V231770. assign V078677 = V466449 + 1. assign V853923 = V982814. assign V953483 = V618753 + 1. assign V046219 = V018860 + 1. assign V041918 = V760276 + 1. assign V993024 = V928893. assign V735867 = V019858 + 1. assign V307122 = V411862. assign V942519 = V023950 + 1. assign V312904 = V853923. assign V257006 = V076781 - 1. assign V668321 = V312904 + 1. assign V905067 = V240064 + 1. assign V506811 = V982814 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV921029 = 8;\n\nFrom these direct assignment(s), we have: \nV401285 = V921029 - 1 = 8 - 1 =7;\nNo other variables can be derived from V401285;\nNo other variables can be derived from V921029;\n\nNow we have done all the calculations. Derived variables are:\nV921029 = 8;\nV401285 = 7;\n\nNow we have finished this problem. ANSWER:\nV921029\n", "role": "assistant" } ]

[ "V067701" ]

[ { "content": "<context>\nassign V067701 = 4. assign V292707 = V022396 - 1. assign V256817 = V326677 + 1. assign V974129 = V296321. assign V708319 = V506660. assign V383031 = V663512 + 1. assign V073760 = V383031 + 1. assign V891667 = V812361 - 1. assign V076929 = V094755. assign V925300 = V067701 + 1. assign V472861 = V483380. assign V796242 = V076929 - 1. assign V682078 = V296321. assign V915220 = V093709 + 1. assign V437516 = V968018 + 1. assign V436004 = V506660 - 1. assign V483629 = V020356 + 1. assign V209092 = V081854 + 1. assign V472234 = V812361 - 1. assign V065497 = V596148 - 1. assign V495568 = V046430 + 1. assign V483380 = V022396 - 1. assign V456678 = V708319. assign V638491 = V779260. assign V906077 = V632795. assign V850757 = V296321 - 1. assign V733772 = V483380. assign V326677 = V682078 - 1. assign V113571 = V045730. assign V876508 = V326677. assign V126540 = V632795 + 1. assign V425491 = V541179. assign V042677 = V102109 - 1. assign V675030 = V076929 - 1. assign V874750 = V915220. assign V506660 = V425491 + 1. assign V103005 = V383031 + 1. assign V729187 = V292707 + 1. assign V280439 = V779260 + 1. assign V296321 = V022396. assign V322675 = V296321 - 1. assign V473882 = V541179 + 1. assign V541179 = V779260. assign V983243 = V472861. assign V615224 = V974129 + 1. assign V397138 = V708319 + 1. assign V596148 = V425491 - 1. assign V116282 = V326677 - 1. assign V663512 = V425491 - 1. assign V615865 = V506660 + 1. assign V218243 = V506660 - 1. assign V523638 = V483380 - 1. assign V036061 = V541179 - 1. assign V069682 = V541179 + 1. assign V093709 = V917268 - 1. assign V755888 = V812361 - 1. assign V779260 = V472234. assign V102022 = V322675 + 1. assign V510303 = V483629 + 1. assign V917268 = V850757 - 1. assign V045730 = V022396. assign V783954 = V437516. assign V046430 = V022396 - 1. assign V205807 = V256817 + 1. assign V940067 = V296321 + 1. assign V797451 = V812361 - 1. assign V290676 = V209092 + 1. assign V152999 = V876508. assign V805707 = V326677 - 1. assign V968018 = V917268 + 1. assign V102109 = V755888. assign V784067 = V472234 - 1. assign V103818 = V682078. assign V022396 = V812361 - 1. assign V335820 = V495568 - 1. assign V981854 = V116282. assign V551850 = V812361 - 1. assign V100811 = V218243. assign V837106 = V483380. assign V049736 = V205807. assign V322701 = V940067 + 1. assign V081854 = V022396. assign V094755 = V638491 - 1. assign V020356 = V523638 + 1. assign V632795 = V335820. assign V488109 = V551850 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V067701 = 4. assign V292707 = V022396 - 1. assign V256817 = V326677 + 1. assign V974129 = V296321. assign V708319 = V506660. assign V383031 = V663512 + 1. assign V073760 = V383031 + 1. assign V891667 = V812361 - 1. assign V076929 = V094755. assign V925300 = V067701 + 1. assign V472861 = V483380. assign V796242 = V076929 - 1. assign V682078 = V296321. assign V915220 = V093709 + 1. assign V437516 = V968018 + 1. assign V436004 = V506660 - 1. assign V483629 = V020356 + 1. assign V209092 = V081854 + 1. assign V472234 = V812361 - 1. assign V065497 = V596148 - 1. assign V495568 = V046430 + 1. assign V483380 = V022396 - 1. assign V456678 = V708319. assign V638491 = V779260. assign V906077 = V632795. assign V850757 = V296321 - 1. assign V733772 = V483380. assign V326677 = V682078 - 1. assign V113571 = V045730. assign V876508 = V326677. assign V126540 = V632795 + 1. assign V425491 = V541179. assign V042677 = V102109 - 1. assign V675030 = V076929 - 1. assign V874750 = V915220. assign V506660 = V425491 + 1. assign V103005 = V383031 + 1. assign V729187 = V292707 + 1. assign V280439 = V779260 + 1. assign V296321 = V022396. assign V322675 = V296321 - 1. assign V473882 = V541179 + 1. assign V541179 = V779260. assign V983243 = V472861. assign V615224 = V974129 + 1. assign V397138 = V708319 + 1. assign V596148 = V425491 - 1. assign V116282 = V326677 - 1. assign V663512 = V425491 - 1. assign V615865 = V506660 + 1. assign V218243 = V506660 - 1. assign V523638 = V483380 - 1. assign V036061 = V541179 - 1. assign V069682 = V541179 + 1. assign V093709 = V917268 - 1. assign V755888 = V812361 - 1. assign V779260 = V472234. assign V102022 = V322675 + 1. assign V510303 = V483629 + 1. assign V917268 = V850757 - 1. assign V045730 = V022396. assign V783954 = V437516. assign V046430 = V022396 - 1. assign V205807 = V256817 + 1. assign V940067 = V296321 + 1. assign V797451 = V812361 - 1. assign V290676 = V209092 + 1. assign V152999 = V876508. assign V805707 = V326677 - 1. assign V968018 = V917268 + 1. assign V102109 = V755888. assign V784067 = V472234 - 1. assign V103818 = V682078. assign V022396 = V812361 - 1. assign V335820 = V495568 - 1. assign V981854 = V116282. assign V551850 = V812361 - 1. assign V100811 = V218243. assign V837106 = V483380. assign V049736 = V205807. assign V322701 = V940067 + 1. assign V081854 = V022396. assign V094755 = V638491 - 1. assign V020356 = V523638 + 1. assign V632795 = V335820. assign V488109 = V551850 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV067701 = 4;\n\nFrom these direct assignment(s), we have: \nV925300 = V067701 + 1 = 4 + 1 =5;\nNo other variables can be derived from V925300;\nNo other variables can be derived from V067701;\n\nNow we have done all the calculations. Derived variables are:\nV067701 = 4;\nV925300 = 5;\n\nNow we have finished this problem. ANSWER:\nV067701\n", "role": "assistant" } ]

[ "V032278" ]

[ { "content": "<context>\nassign V895597 = V802284 - 1. assign V665218 = V354432. assign V389437 = V058059. assign V224971 = V560415 + 1. assign V122540 = V659015 + 1. assign V087736 = V682777 - 1. assign V452883 = V176213 - 1. assign V168230 = V682777 - 1. assign V563811 = V752804 - 1. assign V512474 = V450213. assign V729337 = V752804. assign V910058 = V729337. assign V729238 = V729337 - 1. assign V450213 = V839762. assign V968059 = V682777 + 1. assign V535283 = V445514 + 1. assign V197322 = V445514 + 1. assign V744104 = V886809 - 1. assign V589141 = V752804. assign V802284 = V682777 + 1. assign V020745 = V560415 - 1. assign V000996 = V672560 + 1. assign V579241 = V672560 - 1. assign V975161 = V862441 - 1. assign V946942 = V343149. assign V161871 = V593393. assign V886809 = V682777 - 1. assign V487685 = V910058. assign V017748 = V676837 - 1. assign V503463 = V744358 - 1. assign V619576 = V886809. assign V445514 = V752804. assign V744358 = V168230 + 1. assign V923129 = V729337 - 1. assign V023916 = V579241. assign V860844 = V983478 + 1. assign V359657 = V343149 - 1. assign V701333 = V862441 - 1. assign V321116 = V032278 - 1. assign V834456 = V535283 + 1. assign V455466 = V058059. assign V597338 = V535283 - 1. assign V221013 = V560415. assign V865113 = V802284. assign V915537 = V802284. assign V364933 = V503463 + 1. assign V560415 = V168230. assign V752804 = V581777 - 1. assign V839762 = V359657 + 1. assign V672560 = V923129. assign V994392 = V343149 + 1. assign V682777 = V581777 - 1. assign V364542 = V672560 - 1. assign V736820 = V560415. assign V876907 = V752804 - 1. assign V343149 = V581777 - 1. assign V032278 = 0. assign V301440 = V224971 - 1. assign V832136 = V380608 - 1. assign V026555 = V946942 + 1. assign V883188 = V876907 - 1. assign V354432 = V445514 + 1. assign V979991 = V886809. assign V615063 = V886809. assign V983478 = V876907 - 1. assign V239174 = V659015 + 1. assign V332141 = V886809 - 1. assign V294039 = V122540. assign V176213 = V239174. assign V593393 = V445514 - 1. assign V402537 = V593393. assign V346045 = V682777 + 1. assign V331977 = V729238 + 1. assign V862441 = V445514. assign V676837 = V581777 + 1. assign V659015 = V593393. assign V965881 = V301440 - 1. assign V918102 = V744358. assign V857823 = V752804. assign V171807 = V346045. assign V068731 = V862441 + 1. assign V380608 = V983478 + 1. assign V439258 = V865113 - 1. assign V058059 = V802284 + 1. assign V393232 = V968059 - 1. assign V883823 = V834456.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V895597 = V802284 - 1. assign V665218 = V354432. assign V389437 = V058059. assign V224971 = V560415 + 1. assign V122540 = V659015 + 1. assign V087736 = V682777 - 1. assign V452883 = V176213 - 1. assign V168230 = V682777 - 1. assign V563811 = V752804 - 1. assign V512474 = V450213. assign V729337 = V752804. assign V910058 = V729337. assign V729238 = V729337 - 1. assign V450213 = V839762. assign V968059 = V682777 + 1. assign V535283 = V445514 + 1. assign V197322 = V445514 + 1. assign V744104 = V886809 - 1. assign V589141 = V752804. assign V802284 = V682777 + 1. assign V020745 = V560415 - 1. assign V000996 = V672560 + 1. assign V579241 = V672560 - 1. assign V975161 = V862441 - 1. assign V946942 = V343149. assign V161871 = V593393. assign V886809 = V682777 - 1. assign V487685 = V910058. assign V017748 = V676837 - 1. assign V503463 = V744358 - 1. assign V619576 = V886809. assign V445514 = V752804. assign V744358 = V168230 + 1. assign V923129 = V729337 - 1. assign V023916 = V579241. assign V860844 = V983478 + 1. assign V359657 = V343149 - 1. assign V701333 = V862441 - 1. assign V321116 = V032278 - 1. assign V834456 = V535283 + 1. assign V455466 = V058059. assign V597338 = V535283 - 1. assign V221013 = V560415. assign V865113 = V802284. assign V915537 = V802284. assign V364933 = V503463 + 1. assign V560415 = V168230. assign V752804 = V581777 - 1. assign V839762 = V359657 + 1. assign V672560 = V923129. assign V994392 = V343149 + 1. assign V682777 = V581777 - 1. assign V364542 = V672560 - 1. assign V736820 = V560415. assign V876907 = V752804 - 1. assign V343149 = V581777 - 1. assign V032278 = 0. assign V301440 = V224971 - 1. assign V832136 = V380608 - 1. assign V026555 = V946942 + 1. assign V883188 = V876907 - 1. assign V354432 = V445514 + 1. assign V979991 = V886809. assign V615063 = V886809. assign V983478 = V876907 - 1. assign V239174 = V659015 + 1. assign V332141 = V886809 - 1. assign V294039 = V122540. assign V176213 = V239174. assign V593393 = V445514 - 1. assign V402537 = V593393. assign V346045 = V682777 + 1. assign V331977 = V729238 + 1. assign V862441 = V445514. assign V676837 = V581777 + 1. assign V659015 = V593393. assign V965881 = V301440 - 1. assign V918102 = V744358. assign V857823 = V752804. assign V171807 = V346045. assign V068731 = V862441 + 1. assign V380608 = V983478 + 1. assign V439258 = V865113 - 1. assign V058059 = V802284 + 1. assign V393232 = V968059 - 1. assign V883823 = V834456.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV032278 = 0;\n\nFrom these direct assignment(s), we have: \nV321116 = V032278 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V321116;\nNo other variables can be derived from V032278;\n\nNow we have done all the calculations. Derived variables are:\nV032278 = 0;\nV321116 = -1;\n\nNow we have finished this problem. ANSWER:\nV032278\n", "role": "assistant" } ]

[ "V686613" ]

[ { "content": "<context>\nassign V380189 = V608536 - 1. assign V833793 = V905585. assign V334659 = V589314 - 1. assign V709999 = V316902 + 1. assign V080820 = 9. assign V436059 = V748033 + 1. assign V120560 = V487150 + 1. assign V898039 = V638616 + 1. assign V027660 = V610189. assign V210504 = V149791 + 1. assign V301023 = V764954. assign V903023 = V731964. assign V637469 = V638616 - 1. assign V764929 = V487150 - 1. assign V686613 = V080820 + 1. assign V370312 = V567129 - 1. assign V553016 = V914209 + 1. assign V376083 = V638616 - 1. assign V889747 = V721037. assign V062216 = V316902. assign V827222 = V487075 + 1. assign V703460 = V062216 - 1. assign V725478 = V721037. assign V874455 = V154943 + 1. assign V420584 = V154943 + 1. assign V638616 = V703460. assign V601289 = V062216 - 1. assign V842047 = V027660. assign V140766 = V953616. assign V317401 = V380189 + 1. assign V218172 = V154943. assign V043469 = V905585. assign V742271 = V567129. assign V729300 = V027660. assign V001213 = V922196 - 1. assign V316902 = V487150 - 1. assign V567129 = V610189 - 1. assign V329485 = V149791 + 1. assign V905585 = V783177 + 1. assign V242749 = V567129 - 1. assign V496720 = V638616 + 1. assign V595731 = V027660 + 1. assign V210496 = V752842 - 1. assign V463713 = V329485 + 1. assign V897256 = V896752 + 1. assign V764954 = V062216. assign V922196 = V020137 + 1. assign V146139 = V062216 - 1. assign V190663 = V242749 - 1. assign V914209 = V020137 - 1. assign V487075 = V394599 + 1. assign V001625 = V376083. assign V721037 = V922196 + 1. assign V333833 = V783177 + 1. assign V639895 = V146139. assign V351229 = V220729. assign V610967 = V748033 + 1. assign V394599 = V714714 - 1. assign V755955 = V316902. assign V589314 = V329485 - 1. assign V610189 = V487150 - 1. assign V731964 = V062216 + 1. assign V390870 = V146139. assign V220729 = V755955. assign V329623 = V595731. assign V020137 = V487150 + 1. assign V364090 = V218172. assign V748033 = V316902 - 1. assign V069182 = V154943 + 1. assign V407099 = V889747 - 1. assign V514195 = V567129. assign V565554 = V301023 - 1. assign V500802 = V610189. assign V033326 = V390870 - 1. assign V799755 = V638616 - 1. assign V953616 = V731964. assign V783177 = V487150 - 1. assign V154943 = V487150. assign V714714 = V922196 - 1. assign V608536 = V783177 + 1. assign V149791 = V755955 + 1. assign V428145 = V301023 + 1. assign V645017 = V347331. assign V896752 = V210504 + 1. assign V752842 = V351229. assign V347331 = V709999.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V380189 = V608536 - 1. assign V833793 = V905585. assign V334659 = V589314 - 1. assign V709999 = V316902 + 1. assign V080820 = 9. assign V436059 = V748033 + 1. assign V120560 = V487150 + 1. assign V898039 = V638616 + 1. assign V027660 = V610189. assign V210504 = V149791 + 1. assign V301023 = V764954. assign V903023 = V731964. assign V637469 = V638616 - 1. assign V764929 = V487150 - 1. assign V686613 = V080820 + 1. assign V370312 = V567129 - 1. assign V553016 = V914209 + 1. assign V376083 = V638616 - 1. assign V889747 = V721037. assign V062216 = V316902. assign V827222 = V487075 + 1. assign V703460 = V062216 - 1. assign V725478 = V721037. assign V874455 = V154943 + 1. assign V420584 = V154943 + 1. assign V638616 = V703460. assign V601289 = V062216 - 1. assign V842047 = V027660. assign V140766 = V953616. assign V317401 = V380189 + 1. assign V218172 = V154943. assign V043469 = V905585. assign V742271 = V567129. assign V729300 = V027660. assign V001213 = V922196 - 1. assign V316902 = V487150 - 1. assign V567129 = V610189 - 1. assign V329485 = V149791 + 1. assign V905585 = V783177 + 1. assign V242749 = V567129 - 1. assign V496720 = V638616 + 1. assign V595731 = V027660 + 1. assign V210496 = V752842 - 1. assign V463713 = V329485 + 1. assign V897256 = V896752 + 1. assign V764954 = V062216. assign V922196 = V020137 + 1. assign V146139 = V062216 - 1. assign V190663 = V242749 - 1. assign V914209 = V020137 - 1. assign V487075 = V394599 + 1. assign V001625 = V376083. assign V721037 = V922196 + 1. assign V333833 = V783177 + 1. assign V639895 = V146139. assign V351229 = V220729. assign V610967 = V748033 + 1. assign V394599 = V714714 - 1. assign V755955 = V316902. assign V589314 = V329485 - 1. assign V610189 = V487150 - 1. assign V731964 = V062216 + 1. assign V390870 = V146139. assign V220729 = V755955. assign V329623 = V595731. assign V020137 = V487150 + 1. assign V364090 = V218172. assign V748033 = V316902 - 1. assign V069182 = V154943 + 1. assign V407099 = V889747 - 1. assign V514195 = V567129. assign V565554 = V301023 - 1. assign V500802 = V610189. assign V033326 = V390870 - 1. assign V799755 = V638616 - 1. assign V953616 = V731964. assign V783177 = V487150 - 1. assign V154943 = V487150. assign V714714 = V922196 - 1. assign V608536 = V783177 + 1. assign V149791 = V755955 + 1. assign V428145 = V301023 + 1. assign V645017 = V347331. assign V896752 = V210504 + 1. assign V752842 = V351229. assign V347331 = V709999.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV080820 = 9;\n\nFrom these direct assignment(s), we have: \nV686613 = V080820 + 1 = 9 + 1 =10;\nNo other variables can be derived from V686613;\nNo other variables can be derived from V080820;\n\nNow we have done all the calculations. Derived variables are:\nV080820 = 9;\nV686613 = 10;\n\nNow we have finished this problem. ANSWER:\nV686613\n", "role": "assistant" } ]

[ "V376321", "V867981" ]

[ { "content": "<context>\nassign V025173 = V746887 - 1. assign V271512 = V647468 + 1. assign V568395 = V010347. assign V432531 = V284660 + 1. assign V891601 = V431430 + 1. assign V920195 = V849363. assign V962241 = V920195 - 1. assign V008235 = V128530. assign V746887 = V582689. assign V045675 = V647468. assign V849363 = V209544. assign V237039 = V266316 - 1. assign V128530 = V734455 + 1. assign V691031 = V266316 - 1. assign V837107 = V702186. assign V291339 = V008235 + 1. assign V266316 = V498186 + 1. assign V808575 = V539298. assign V734455 = V090436 - 1. assign V647468 = V452699. assign V682906 = V463946 - 1. assign V452699 = V431430. assign V376321 = 1. assign V087446 = V025173 - 1. assign V781843 = V008235. assign V273126 = V257331 - 1. assign V332597 = V008235 + 1. assign V372428 = V734455. assign V899072 = V022732. assign V090436 = V431430 + 1. assign V257331 = V332597 + 1. assign V751119 = V463946 + 1. assign V828918 = V257331 + 1. assign V933935 = V647468. assign V308225 = V398058 + 1. assign V950961 = V734455 - 1. assign V255173 = V439389. assign V355675 = V284660. assign V439389 = V431430 + 1. assign V775556 = V346703. assign V363563 = V025173 - 1. assign V867981 = V376321. assign V695770 = V332597 + 1. assign V790408 = V863002 - 1. assign V013249 = V933935 + 1. assign V695115 = V355675. assign V498186 = V647468 - 1. assign V014841 = V363563 - 1. assign V169790 = V461086 + 1. assign V539298 = V691031 - 1. assign V606037 = V045675 + 1. assign V398058 = V209544 + 1. assign V355314 = V022732 + 1. assign V981701 = V284660 + 1. assign V837254 = V148078 + 1. assign V141866 = V169790. assign V266880 = V452699. assign V148078 = V346703. assign V685061 = V568395. assign V682968 = V271512. assign V284660 = V647468. assign V682877 = V431430. assign V249263 = V898652 + 1. assign V128803 = V775556 - 1. assign V702186 = V849363 - 1. assign V461086 = V010347 - 1. assign V498116 = V452699 + 1. assign V404755 = V045675. assign V863002 = V439389. assign V273127 = V606037 + 1. assign V022732 = V849363 + 1. assign V369081 = V431430. assign V021233 = V249263. assign V010347 = V439389 - 1. assign V209544 = V431430 - 1. assign V898652 = V950961. assign V730545 = V781843. assign V081604 = V849363 + 1. assign V749253 = V010347 + 1. assign V346703 = V734455. assign V441063 = V950961. assign V393371 = V045675 + 1. assign V867685 = V981701. assign V449853 = V169790 + 1. assign V463946 = V045675. assign V582689 = V008235 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V025173 = V746887 - 1. assign V271512 = V647468 + 1. assign V568395 = V010347. assign V432531 = V284660 + 1. assign V891601 = V431430 + 1. assign V920195 = V849363. assign V962241 = V920195 - 1. assign V008235 = V128530. assign V746887 = V582689. assign V045675 = V647468. assign V849363 = V209544. assign V237039 = V266316 - 1. assign V128530 = V734455 + 1. assign V691031 = V266316 - 1. assign V837107 = V702186. assign V291339 = V008235 + 1. assign V266316 = V498186 + 1. assign V808575 = V539298. assign V734455 = V090436 - 1. assign V647468 = V452699. assign V682906 = V463946 - 1. assign V452699 = V431430. assign V376321 = 1. assign V087446 = V025173 - 1. assign V781843 = V008235. assign V273126 = V257331 - 1. assign V332597 = V008235 + 1. assign V372428 = V734455. assign V899072 = V022732. assign V090436 = V431430 + 1. assign V257331 = V332597 + 1. assign V751119 = V463946 + 1. assign V828918 = V257331 + 1. assign V933935 = V647468. assign V308225 = V398058 + 1. assign V950961 = V734455 - 1. assign V255173 = V439389. assign V355675 = V284660. assign V439389 = V431430 + 1. assign V775556 = V346703. assign V363563 = V025173 - 1. assign V867981 = V376321. assign V695770 = V332597 + 1. assign V790408 = V863002 - 1. assign V013249 = V933935 + 1. assign V695115 = V355675. assign V498186 = V647468 - 1. assign V014841 = V363563 - 1. assign V169790 = V461086 + 1. assign V539298 = V691031 - 1. assign V606037 = V045675 + 1. assign V398058 = V209544 + 1. assign V355314 = V022732 + 1. assign V981701 = V284660 + 1. assign V837254 = V148078 + 1. assign V141866 = V169790. assign V266880 = V452699. assign V148078 = V346703. assign V685061 = V568395. assign V682968 = V271512. assign V284660 = V647468. assign V682877 = V431430. assign V249263 = V898652 + 1. assign V128803 = V775556 - 1. assign V702186 = V849363 - 1. assign V461086 = V010347 - 1. assign V498116 = V452699 + 1. assign V404755 = V045675. assign V863002 = V439389. assign V273127 = V606037 + 1. assign V022732 = V849363 + 1. assign V369081 = V431430. assign V021233 = V249263. assign V010347 = V439389 - 1. assign V209544 = V431430 - 1. assign V898652 = V950961. assign V730545 = V781843. assign V081604 = V849363 + 1. assign V749253 = V010347 + 1. assign V346703 = V734455. assign V441063 = V950961. assign V393371 = V045675 + 1. assign V867685 = V981701. assign V449853 = V169790 + 1. assign V463946 = V045675. assign V582689 = V008235 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV376321 = 1;\n\nFrom these direct assignment(s), we have: \nV867981 = V376321 = 1;\nNo other variables can be derived from V867981;\nNo other variables can be derived from V376321;\n\nNow we have done all the calculations. Derived variables are:\nV376321 = 1;\nV867981 = 1;\n\nNow we have finished this problem. ANSWER:\nV376321, V867981\n", "role": "assistant" } ]

[ "V863395" ]

[ { "content": "<context>\nassign V733636 = V839861 + 1. assign V071127 = V069590 - 1. assign V931076 = V642243 + 1. assign V108880 = V475669 + 1. assign V637510 = V586477 - 1. assign V873680 = V640027. assign V588173 = V446988 + 1. assign V974519 = V988371 - 1. assign V895270 = V637510. assign V618763 = V637510 - 1. assign V481951 = V588173. assign V380600 = V197891 + 1. assign V711393 = V642243 - 1. assign V826635 = V874423 - 1. assign V031242 = V107532. assign V830323 = V446988 - 1. assign V682621 = V069590 - 1. assign V839861 = V575164 + 1. assign V232032 = V830323. assign V363196 = V642243. assign V691756 = V895270. assign V273561 = V709995. assign V675548 = V863395 + 1. assign V197891 = V702159 + 1. assign V639509 = V610175. assign V162138 = V884648. assign V024838 = V839861 + 1. assign V642243 = V475669 - 1. assign V495374 = V702159 - 1. assign V014984 = V637510 + 1. assign V679413 = V711393 - 1. assign V625007 = V618763 - 1. assign V586477 = V031242. assign V511576 = V197891 + 1. assign V575164 = V107532 + 1. assign V620638 = V446988 + 1. assign V140274 = V637510 - 1. assign V475669 = V702159 + 1. assign V287152 = V586477 - 1. assign V012376 = V874423 + 1. assign V640027 = V931076. assign V785441 = V345246 - 1. assign V073883 = V789194 + 1. assign V613729 = V618763. assign V610175 = V702159 - 1. assign V909869 = V585508 - 1. assign V116812 = V457289 - 1. assign V788334 = V702159 + 1. assign V912046 = V702159. assign V566538 = V733636 - 1. assign V602029 = V909869 + 1. assign V144816 = V162138. assign V874423 = V254870. assign V884648 = V575164 - 1. assign V699322 = V116812. assign V160306 = V895270 + 1. assign V254870 = V733636. assign V185175 = V475669. assign V805829 = V071127. assign V457289 = V702159 - 1. assign V585508 = V575164 + 1. assign V181469 = V363196. assign V302980 = V566538 + 1. assign V620346 = V411759 + 1. assign V446988 = V475669 + 1. assign V069590 = V162138 - 1. assign V065571 = V380600. assign V830562 = V116812 + 1. assign V709995 = V588173 - 1. assign V760165 = V495374 + 1. assign V789194 = V826635. assign V598916 = V108880 + 1. assign V411759 = V107532 + 1. assign V207913 = V285266 - 1. assign V702159 = V884648 - 1. assign V345246 = V839861 + 1. assign V088126 = V733636. assign V500266 = V909869. assign V988371 = V566538 - 1. assign V863395 = 2. assign V193995 = V826635 + 1. assign V988677 = V732537. assign V705817 = V733636 + 1. assign V285266 = V014984 - 1. assign V141819 = V620638 + 1. assign V732537 = V610175.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V733636 = V839861 + 1. assign V071127 = V069590 - 1. assign V931076 = V642243 + 1. assign V108880 = V475669 + 1. assign V637510 = V586477 - 1. assign V873680 = V640027. assign V588173 = V446988 + 1. assign V974519 = V988371 - 1. assign V895270 = V637510. assign V618763 = V637510 - 1. assign V481951 = V588173. assign V380600 = V197891 + 1. assign V711393 = V642243 - 1. assign V826635 = V874423 - 1. assign V031242 = V107532. assign V830323 = V446988 - 1. assign V682621 = V069590 - 1. assign V839861 = V575164 + 1. assign V232032 = V830323. assign V363196 = V642243. assign V691756 = V895270. assign V273561 = V709995. assign V675548 = V863395 + 1. assign V197891 = V702159 + 1. assign V639509 = V610175. assign V162138 = V884648. assign V024838 = V839861 + 1. assign V642243 = V475669 - 1. assign V495374 = V702159 - 1. assign V014984 = V637510 + 1. assign V679413 = V711393 - 1. assign V625007 = V618763 - 1. assign V586477 = V031242. assign V511576 = V197891 + 1. assign V575164 = V107532 + 1. assign V620638 = V446988 + 1. assign V140274 = V637510 - 1. assign V475669 = V702159 + 1. assign V287152 = V586477 - 1. assign V012376 = V874423 + 1. assign V640027 = V931076. assign V785441 = V345246 - 1. assign V073883 = V789194 + 1. assign V613729 = V618763. assign V610175 = V702159 - 1. assign V909869 = V585508 - 1. assign V116812 = V457289 - 1. assign V788334 = V702159 + 1. assign V912046 = V702159. assign V566538 = V733636 - 1. assign V602029 = V909869 + 1. assign V144816 = V162138. assign V874423 = V254870. assign V884648 = V575164 - 1. assign V699322 = V116812. assign V160306 = V895270 + 1. assign V254870 = V733636. assign V185175 = V475669. assign V805829 = V071127. assign V457289 = V702159 - 1. assign V585508 = V575164 + 1. assign V181469 = V363196. assign V302980 = V566538 + 1. assign V620346 = V411759 + 1. assign V446988 = V475669 + 1. assign V069590 = V162138 - 1. assign V065571 = V380600. assign V830562 = V116812 + 1. assign V709995 = V588173 - 1. assign V760165 = V495374 + 1. assign V789194 = V826635. assign V598916 = V108880 + 1. assign V411759 = V107532 + 1. assign V207913 = V285266 - 1. assign V702159 = V884648 - 1. assign V345246 = V839861 + 1. assign V088126 = V733636. assign V500266 = V909869. assign V988371 = V566538 - 1. assign V863395 = 2. assign V193995 = V826635 + 1. assign V988677 = V732537. assign V705817 = V733636 + 1. assign V285266 = V014984 - 1. assign V141819 = V620638 + 1. assign V732537 = V610175.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV863395 = 2;\n\nFrom these direct assignment(s), we have: \nV675548 = V863395 + 1 = 2 + 1 =3;\nNo other variables can be derived from V675548;\nNo other variables can be derived from V863395;\n\nNow we have done all the calculations. Derived variables are:\nV863395 = 2;\nV675548 = 3;\n\nNow we have finished this problem. ANSWER:\nV863395\n", "role": "assistant" } ]

[ "V270955" ]

[ { "content": "<context>\nassign V641352 = V309109. assign V203701 = V713920 - 1. assign V774810 = V307344 + 1. assign V443018 = V859144 - 1. assign V591242 = V809161. assign V937711 = V079418 + 1. assign V435629 = V166443 + 1. assign V554128 = V076149 + 1. assign V543249 = V158393 - 1. assign V248313 = V904816 - 1. assign V256211 = V307344 - 1. assign V657230 = V554128 - 1. assign V999213 = V373519 + 1. assign V792464 = V774810. assign V732232 = V339181. assign V044977 = V801960. assign V777034 = V624420 + 1. assign V339181 = V076149. assign V075835 = V554128. assign V529810 = V764001 + 1. assign V156596 = V339181 - 1. assign V974676 = V732232 - 1. assign V309109 = V764999 - 1. assign V144284 = V123959. assign V819769 = V270955 - 1. assign V348291 = V184457 + 1. assign V252687 = V076149 + 1. assign V307344 = V646823 - 1. assign V764999 = V076149. assign V713920 = V764999. assign V547214 = V774810 - 1. assign V376280 = V058412 + 1. assign V079418 = V258085 + 1. assign V778930 = V801960 + 1. assign V991922 = V076149. assign V167321 = V646823 + 1. assign V647790 = V774810 - 1. assign V360564 = V646823 - 1. assign V425742 = V543249. assign V961674 = V647790 - 1. assign V166443 = V641352 + 1. assign V411350 = V904816. assign V802041 = V418442 - 1. assign V040791 = V991922 + 1. assign V325197 = V991922 + 1. assign V639969 = V803409 - 1. assign V232583 = V835972. assign V689753 = V258085 - 1. assign V682988 = V764999 - 1. assign V809161 = V835972 - 1. assign V558668 = V348291 + 1. assign V258085 = V646823. assign V512452 = V239350 + 1. assign V023417 = V307344 + 1. assign V104438 = V339181 + 1. assign V785127 = V962251. assign V997148 = V246313 - 1. assign V158393 = V252687 - 1. assign V320004 = V239350 + 1. assign V213806 = V203701 + 1. assign V803409 = V252687 + 1. assign V801960 = V774810 + 1. assign V184184 = V764001. assign V046292 = V076149. assign V764001 = V554128 + 1. assign V418442 = V641352 - 1. assign V859144 = V262310 - 1. assign V391691 = V554128 + 1. assign V184457 = V904816. assign V058412 = V248313. assign V646823 = V076149. assign V835972 = V904816 - 1. assign V270955 = 0. assign V841942 = V859144 - 1. assign V262310 = V123959 - 1. assign V624420 = V203701 + 1. assign V373519 = V076149 - 1. assign V904816 = V646823 + 1. assign V962251 = V641352. assign V293153 = V076149. assign V560484 = V123959. assign V239350 = V258085 + 1. assign V298456 = V574859. assign V123959 = V309109. assign V246313 = V764999 + 1. assign V574859 = V777034.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V641352 = V309109. assign V203701 = V713920 - 1. assign V774810 = V307344 + 1. assign V443018 = V859144 - 1. assign V591242 = V809161. assign V937711 = V079418 + 1. assign V435629 = V166443 + 1. assign V554128 = V076149 + 1. assign V543249 = V158393 - 1. assign V248313 = V904816 - 1. assign V256211 = V307344 - 1. assign V657230 = V554128 - 1. assign V999213 = V373519 + 1. assign V792464 = V774810. assign V732232 = V339181. assign V044977 = V801960. assign V777034 = V624420 + 1. assign V339181 = V076149. assign V075835 = V554128. assign V529810 = V764001 + 1. assign V156596 = V339181 - 1. assign V974676 = V732232 - 1. assign V309109 = V764999 - 1. assign V144284 = V123959. assign V819769 = V270955 - 1. assign V348291 = V184457 + 1. assign V252687 = V076149 + 1. assign V307344 = V646823 - 1. assign V764999 = V076149. assign V713920 = V764999. assign V547214 = V774810 - 1. assign V376280 = V058412 + 1. assign V079418 = V258085 + 1. assign V778930 = V801960 + 1. assign V991922 = V076149. assign V167321 = V646823 + 1. assign V647790 = V774810 - 1. assign V360564 = V646823 - 1. assign V425742 = V543249. assign V961674 = V647790 - 1. assign V166443 = V641352 + 1. assign V411350 = V904816. assign V802041 = V418442 - 1. assign V040791 = V991922 + 1. assign V325197 = V991922 + 1. assign V639969 = V803409 - 1. assign V232583 = V835972. assign V689753 = V258085 - 1. assign V682988 = V764999 - 1. assign V809161 = V835972 - 1. assign V558668 = V348291 + 1. assign V258085 = V646823. assign V512452 = V239350 + 1. assign V023417 = V307344 + 1. assign V104438 = V339181 + 1. assign V785127 = V962251. assign V997148 = V246313 - 1. assign V158393 = V252687 - 1. assign V320004 = V239350 + 1. assign V213806 = V203701 + 1. assign V803409 = V252687 + 1. assign V801960 = V774810 + 1. assign V184184 = V764001. assign V046292 = V076149. assign V764001 = V554128 + 1. assign V418442 = V641352 - 1. assign V859144 = V262310 - 1. assign V391691 = V554128 + 1. assign V184457 = V904816. assign V058412 = V248313. assign V646823 = V076149. assign V835972 = V904816 - 1. assign V270955 = 0. assign V841942 = V859144 - 1. assign V262310 = V123959 - 1. assign V624420 = V203701 + 1. assign V373519 = V076149 - 1. assign V904816 = V646823 + 1. assign V962251 = V641352. assign V293153 = V076149. assign V560484 = V123959. assign V239350 = V258085 + 1. assign V298456 = V574859. assign V123959 = V309109. assign V246313 = V764999 + 1. assign V574859 = V777034.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV270955 = 0;\n\nFrom these direct assignment(s), we have: \nV819769 = V270955 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V819769;\nNo other variables can be derived from V270955;\n\nNow we have done all the calculations. Derived variables are:\nV270955 = 0;\nV819769 = -1;\n\nNow we have finished this problem. ANSWER:\nV270955\n", "role": "assistant" } ]

[ "V992367", "V546750" ]

[ { "content": "<context>\nassign V419122 = V797934 + 1. assign V455725 = V275509 - 1. assign V375454 = V534412 - 1. assign V442655 = V773464 + 1. assign V792782 = V991899 - 1. assign V957698 = V558934. assign V773464 = V652312 - 1. assign V770988 = V275509. assign V711210 = V416717 - 1. assign V682564 = V183428 + 1. assign V990270 = V960571 + 1. assign V924429 = V066570. assign V873988 = V870623 - 1. assign V885929 = V275509 + 1. assign V682330 = V924429 + 1. assign V815045 = V051291 + 1. assign V704091 = V395975 + 1. assign V163519 = V864843. assign V574872 = V125971 - 1. assign V507913 = V797934 + 1. assign V870623 = V797934. assign V186927 = V134876 - 1. assign V419696 = V419122 + 1. assign V874505 = V375454 - 1. assign V383510 = V957698 - 1. assign V652312 = V818881. assign V941893 = V051291 - 1. assign V546750 = V992367. assign V534412 = V797934. assign V575648 = V051291. assign V861294 = V534412 + 1. assign V842250 = V347894 - 1. assign V395756 = V186927. assign V960571 = V183428 - 1. assign V094208 = V935973 + 1. assign V497816 = V797934 + 1. assign V648420 = V419696 - 1. assign V864843 = V395975 + 1. assign V806682 = V797934 - 1. assign V001117 = V183428. assign V140389 = V957698 + 1. assign V586392 = V175715 + 1. assign V589079 = V534412 + 1. assign V447225 = V419696 - 1. assign V706197 = V375454. assign V408793 = V366512. assign V765427 = V870469. assign V044069 = V507913 - 1. assign V381085 = V778285. assign V395975 = V797934. assign V078702 = V706197 + 1. assign V991899 = V797934 - 1. assign V682006 = V704091 + 1. assign V261940 = V924429. assign V385276 = V261940 - 1. assign V558934 = V366512. assign V818881 = V806682 - 1. assign V597839 = V870469 + 1. assign V347894 = V682564. assign V870469 = V395975. assign V416717 = V175715 - 1. assign V051291 = V066570. assign V366512 = V575648 - 1. assign V313319 = V682564. assign V018250 = V842250 + 1. assign V935973 = V960571 + 1. assign V992367 = 7. assign V054512 = V366278. assign V375444 = V001117 + 1. assign V366278 = V078702 + 1. assign V359139 = V874505 - 1. assign V232890 = V022479 + 1. assign V130562 = V924429 + 1. assign V212277 = V778285. assign V183428 = V797934. assign V689215 = V960571. assign V275509 = V066570 - 1. assign V066570 = V797934. assign V134876 = V874505 - 1. assign V634790 = V706197. assign V125971 = V991899 - 1. assign V290829 = V183428 - 1. assign V175715 = V183428 + 1. assign V778285 = V575648 - 1. assign V022479 = V366512 + 1. assign V011082 = V385276.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V419122 = V797934 + 1. assign V455725 = V275509 - 1. assign V375454 = V534412 - 1. assign V442655 = V773464 + 1. assign V792782 = V991899 - 1. assign V957698 = V558934. assign V773464 = V652312 - 1. assign V770988 = V275509. assign V711210 = V416717 - 1. assign V682564 = V183428 + 1. assign V990270 = V960571 + 1. assign V924429 = V066570. assign V873988 = V870623 - 1. assign V885929 = V275509 + 1. assign V682330 = V924429 + 1. assign V815045 = V051291 + 1. assign V704091 = V395975 + 1. assign V163519 = V864843. assign V574872 = V125971 - 1. assign V507913 = V797934 + 1. assign V870623 = V797934. assign V186927 = V134876 - 1. assign V419696 = V419122 + 1. assign V874505 = V375454 - 1. assign V383510 = V957698 - 1. assign V652312 = V818881. assign V941893 = V051291 - 1. assign V546750 = V992367. assign V534412 = V797934. assign V575648 = V051291. assign V861294 = V534412 + 1. assign V842250 = V347894 - 1. assign V395756 = V186927. assign V960571 = V183428 - 1. assign V094208 = V935973 + 1. assign V497816 = V797934 + 1. assign V648420 = V419696 - 1. assign V864843 = V395975 + 1. assign V806682 = V797934 - 1. assign V001117 = V183428. assign V140389 = V957698 + 1. assign V586392 = V175715 + 1. assign V589079 = V534412 + 1. assign V447225 = V419696 - 1. assign V706197 = V375454. assign V408793 = V366512. assign V765427 = V870469. assign V044069 = V507913 - 1. assign V381085 = V778285. assign V395975 = V797934. assign V078702 = V706197 + 1. assign V991899 = V797934 - 1. assign V682006 = V704091 + 1. assign V261940 = V924429. assign V385276 = V261940 - 1. assign V558934 = V366512. assign V818881 = V806682 - 1. assign V597839 = V870469 + 1. assign V347894 = V682564. assign V870469 = V395975. assign V416717 = V175715 - 1. assign V051291 = V066570. assign V366512 = V575648 - 1. assign V313319 = V682564. assign V018250 = V842250 + 1. assign V935973 = V960571 + 1. assign V992367 = 7. assign V054512 = V366278. assign V375444 = V001117 + 1. assign V366278 = V078702 + 1. assign V359139 = V874505 - 1. assign V232890 = V022479 + 1. assign V130562 = V924429 + 1. assign V212277 = V778285. assign V183428 = V797934. assign V689215 = V960571. assign V275509 = V066570 - 1. assign V066570 = V797934. assign V134876 = V874505 - 1. assign V634790 = V706197. assign V125971 = V991899 - 1. assign V290829 = V183428 - 1. assign V175715 = V183428 + 1. assign V778285 = V575648 - 1. assign V022479 = V366512 + 1. assign V011082 = V385276.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV992367 = 7;\n\nFrom these direct assignment(s), we have: \nV546750 = V992367 = 7;\nNo other variables can be derived from V546750;\nNo other variables can be derived from V992367;\n\nNow we have done all the calculations. Derived variables are:\nV992367 = 7;\nV546750 = 7;\n\nNow we have finished this problem. ANSWER:\nV992367, V546750\n", "role": "assistant" } ]

[ "V176601", "V302315" ]

[ { "content": "<context>\nassign V758196 = V860408 + 1. assign V476833 = V259162. assign V945390 = V527330. assign V259249 = V767349 + 1. assign V298866 = V039725. assign V114502 = V277214 + 1. assign V000475 = V259249. assign V610035 = V616506 + 1. assign V395188 = V489490. assign V537080 = V636377. assign V130926 = V383174 + 1. assign V527330 = V076531 + 1. assign V636377 = V781395 - 1. assign V715348 = V476026 + 1. assign V247038 = V931709 - 1. assign V739682 = V476026 + 1. assign V132686 = V243423 + 1. assign V060649 = V868354 - 1. assign V717164 = V610035 + 1. assign V630839 = V683955 + 1. assign V302315 = V176601. assign V979361 = V410959 - 1. assign V514260 = V310811 + 1. assign V150766 = V593340 - 1. assign V671347 = V859729. assign V383174 = V310811. assign V048172 = V039725 - 1. assign V616506 = V683955 - 1. assign V892414 = V524317 - 1. assign V860408 = V664091 + 1. assign V623140 = V076531 - 1. assign V095423 = V781395. assign V079894 = V243423. assign V002822 = V130926 + 1. assign V259162 = V593340. assign V105077 = V268730 + 1. assign V489490 = V076531 + 1. assign V476026 = V664091. assign V212440 = V527330 - 1. assign V931709 = V630839. assign V095963 = V781395 - 1. assign V300943 = V024299 - 1. assign V166038 = V002822 - 1. assign V176601 = 3. assign V593340 = V664091 - 1. assign V277214 = V527330 + 1. assign V855338 = V000475. assign V408792 = V243423 + 1. assign V471192 = V683955. assign V868354 = V259162 + 1. assign V859729 = V664091. assign V814713 = V527330. assign V076531 = V630839 + 1. assign V243423 = V616506 - 1. assign V268730 = V859729. assign V039725 = V024299. assign V908956 = V610035. assign V767349 = V543468 + 1. assign V435406 = V855338 + 1. assign V367213 = V002822 - 1. assign V024299 = V683955 - 1. assign V781395 = V610035 - 1. assign V658820 = V524317 + 1. assign V857052 = V611846 + 1. assign V572264 = V610035 + 1. assign V410959 = V514260 - 1. assign V310811 = V300943 + 1. assign V362518 = V039725. assign V599291 = V134344 - 1. assign V897056 = V076531 + 1. assign V814532 = V537041. assign V841767 = V567804. assign V948834 = V611846 + 1. assign V524317 = V024299. assign V329787 = V476026 + 1. assign V878752 = V095963 + 1. assign V611846 = V212440. assign V605345 = V247038. assign V543468 = V524317 + 1. assign V329043 = V105077. assign V664091 = V300943 - 1. assign V933968 = V079894. assign V567804 = V543468 + 1. assign V134344 = V610035. assign V537041 = V599291 - 1. assign V858292 = V908956 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V758196 = V860408 + 1. assign V476833 = V259162. assign V945390 = V527330. assign V259249 = V767349 + 1. assign V298866 = V039725. assign V114502 = V277214 + 1. assign V000475 = V259249. assign V610035 = V616506 + 1. assign V395188 = V489490. assign V537080 = V636377. assign V130926 = V383174 + 1. assign V527330 = V076531 + 1. assign V636377 = V781395 - 1. assign V715348 = V476026 + 1. assign V247038 = V931709 - 1. assign V739682 = V476026 + 1. assign V132686 = V243423 + 1. assign V060649 = V868354 - 1. assign V717164 = V610035 + 1. assign V630839 = V683955 + 1. assign V302315 = V176601. assign V979361 = V410959 - 1. assign V514260 = V310811 + 1. assign V150766 = V593340 - 1. assign V671347 = V859729. assign V383174 = V310811. assign V048172 = V039725 - 1. assign V616506 = V683955 - 1. assign V892414 = V524317 - 1. assign V860408 = V664091 + 1. assign V623140 = V076531 - 1. assign V095423 = V781395. assign V079894 = V243423. assign V002822 = V130926 + 1. assign V259162 = V593340. assign V105077 = V268730 + 1. assign V489490 = V076531 + 1. assign V476026 = V664091. assign V212440 = V527330 - 1. assign V931709 = V630839. assign V095963 = V781395 - 1. assign V300943 = V024299 - 1. assign V166038 = V002822 - 1. assign V176601 = 3. assign V593340 = V664091 - 1. assign V277214 = V527330 + 1. assign V855338 = V000475. assign V408792 = V243423 + 1. assign V471192 = V683955. assign V868354 = V259162 + 1. assign V859729 = V664091. assign V814713 = V527330. assign V076531 = V630839 + 1. assign V243423 = V616506 - 1. assign V268730 = V859729. assign V039725 = V024299. assign V908956 = V610035. assign V767349 = V543468 + 1. assign V435406 = V855338 + 1. assign V367213 = V002822 - 1. assign V024299 = V683955 - 1. assign V781395 = V610035 - 1. assign V658820 = V524317 + 1. assign V857052 = V611846 + 1. assign V572264 = V610035 + 1. assign V410959 = V514260 - 1. assign V310811 = V300943 + 1. assign V362518 = V039725. assign V599291 = V134344 - 1. assign V897056 = V076531 + 1. assign V814532 = V537041. assign V841767 = V567804. assign V948834 = V611846 + 1. assign V524317 = V024299. assign V329787 = V476026 + 1. assign V878752 = V095963 + 1. assign V611846 = V212440. assign V605345 = V247038. assign V543468 = V524317 + 1. assign V329043 = V105077. assign V664091 = V300943 - 1. assign V933968 = V079894. assign V567804 = V543468 + 1. assign V134344 = V610035. assign V537041 = V599291 - 1. assign V858292 = V908956 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV176601 = 3;\n\nFrom these direct assignment(s), we have: \nV302315 = V176601 = 3;\nNo other variables can be derived from V302315;\nNo other variables can be derived from V176601;\n\nNow we have done all the calculations. Derived variables are:\nV176601 = 3;\nV302315 = 3;\n\nNow we have finished this problem. ANSWER:\nV176601, V302315\n", "role": "assistant" } ]

[ "V978710" ]

[ { "content": "<context>\nassign V703173 = V686410 - 1. assign V073086 = V678248 - 1. assign V167637 = V732724 + 1. assign V552633 = V200875. assign V359739 = V167637 + 1. assign V259241 = V733166 - 1. assign V086421 = V464396. assign V866361 = V386606 - 1. assign V732724 = V931011 + 1. assign V365799 = V455049 - 1. assign V385546 = V402121 + 1. assign V391094 = V480137 - 1. assign V899866 = V269702. assign V919506 = V464396. assign V262920 = V679249 - 1. assign V969285 = V875400 + 1. assign V658597 = V252749. assign V952392 = V464396 - 1. assign V755457 = V952392 + 1. assign V545902 = V933185. assign V209299 = V651940. assign V914073 = V910401 + 1. assign V252749 = V776514 + 1. assign V302163 = V536551 + 1. assign V978710 = V364761 - 1. assign V736284 = V379543 - 1. assign V651940 = V455847 + 1. assign V438138 = V736284 - 1. assign V335067 = V910401 - 1. assign V336262 = V536551 + 1. assign V526813 = V502706 - 1. assign V824776 = V359739 - 1. assign V530960 = V536551 + 1. assign V875468 = V736284 + 1. assign V379543 = V269702 + 1. assign V570957 = V530960 - 1. assign V910401 = V875468 - 1. assign V535733 = V167637 - 1. assign V413927 = V914073. assign V875400 = V335067. assign V824620 = V471933. assign V783402 = V530960. assign V776514 = V931011 + 1. assign V059678 = V776514. assign V349404 = V413927 + 1. assign V050925 = V914073 - 1. assign V368149 = V379543. assign V686410 = V051231 - 1. assign V386606 = V931011 + 1. assign V619943 = V570957 + 1. assign V679249 = V931011. assign V678248 = V919506 - 1. assign V733166 = V783402. assign V455847 = V391094 - 1. assign V480137 = V464396 + 1. assign V536551 = V875468. assign V812786 = V530960 + 1. assign V518746 = V379543 + 1. assign V692550 = V919506 - 1. assign V471933 = V502706 + 1. assign V633629 = V464272. assign V741209 = V919506. assign V238711 = V619943 + 1. assign V502706 = V200875. assign V932096 = V167637 + 1. assign V969190 = V875468 + 1. assign V419695 = V914073. assign V931011 = V919506 - 1. assign V455049 = V086421 + 1. assign V948981 = V651940 - 1. assign V464396 = V028258 + 1. assign V933185 = V931011 + 1. assign V618135 = V502706 + 1. assign V364761 = 6. assign V051231 = V167637 + 1. assign V464272 = V919506 + 1. assign V402121 = V073086 + 1. assign V028258 = V269702. assign V087425 = V419695. assign V200875 = V028258. assign V648950 = V050925. assign V770850 = V464272. assign V378218 = V570957 + 1. assign V058848 = V252749. assign V137040 = V933185 - 1. assign V484685 = V651940.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V703173 = V686410 - 1. assign V073086 = V678248 - 1. assign V167637 = V732724 + 1. assign V552633 = V200875. assign V359739 = V167637 + 1. assign V259241 = V733166 - 1. assign V086421 = V464396. assign V866361 = V386606 - 1. assign V732724 = V931011 + 1. assign V365799 = V455049 - 1. assign V385546 = V402121 + 1. assign V391094 = V480137 - 1. assign V899866 = V269702. assign V919506 = V464396. assign V262920 = V679249 - 1. assign V969285 = V875400 + 1. assign V658597 = V252749. assign V952392 = V464396 - 1. assign V755457 = V952392 + 1. assign V545902 = V933185. assign V209299 = V651940. assign V914073 = V910401 + 1. assign V252749 = V776514 + 1. assign V302163 = V536551 + 1. assign V978710 = V364761 - 1. assign V736284 = V379543 - 1. assign V651940 = V455847 + 1. assign V438138 = V736284 - 1. assign V335067 = V910401 - 1. assign V336262 = V536551 + 1. assign V526813 = V502706 - 1. assign V824776 = V359739 - 1. assign V530960 = V536551 + 1. assign V875468 = V736284 + 1. assign V379543 = V269702 + 1. assign V570957 = V530960 - 1. assign V910401 = V875468 - 1. assign V535733 = V167637 - 1. assign V413927 = V914073. assign V875400 = V335067. assign V824620 = V471933. assign V783402 = V530960. assign V776514 = V931011 + 1. assign V059678 = V776514. assign V349404 = V413927 + 1. assign V050925 = V914073 - 1. assign V368149 = V379543. assign V686410 = V051231 - 1. assign V386606 = V931011 + 1. assign V619943 = V570957 + 1. assign V679249 = V931011. assign V678248 = V919506 - 1. assign V733166 = V783402. assign V455847 = V391094 - 1. assign V480137 = V464396 + 1. assign V536551 = V875468. assign V812786 = V530960 + 1. assign V518746 = V379543 + 1. assign V692550 = V919506 - 1. assign V471933 = V502706 + 1. assign V633629 = V464272. assign V741209 = V919506. assign V238711 = V619943 + 1. assign V502706 = V200875. assign V932096 = V167637 + 1. assign V969190 = V875468 + 1. assign V419695 = V914073. assign V931011 = V919506 - 1. assign V455049 = V086421 + 1. assign V948981 = V651940 - 1. assign V464396 = V028258 + 1. assign V933185 = V931011 + 1. assign V618135 = V502706 + 1. assign V364761 = 6. assign V051231 = V167637 + 1. assign V464272 = V919506 + 1. assign V402121 = V073086 + 1. assign V028258 = V269702. assign V087425 = V419695. assign V200875 = V028258. assign V648950 = V050925. assign V770850 = V464272. assign V378218 = V570957 + 1. assign V058848 = V252749. assign V137040 = V933185 - 1. assign V484685 = V651940.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV364761 = 6;\n\nFrom these direct assignment(s), we have: \nV978710 = V364761 - 1 = 6 - 1 =5;\nNo other variables can be derived from V978710;\nNo other variables can be derived from V364761;\n\nNow we have done all the calculations. Derived variables are:\nV364761 = 6;\nV978710 = 5;\n\nNow we have finished this problem. ANSWER:\nV978710\n", "role": "assistant" } ]

[ "V566357" ]

[ { "content": "<context>\nassign V243883 = V392630 - 1. assign V173178 = V693905. assign V261579 = V958713. assign V918806 = V613659. assign V039969 = V566357 + 1. assign V537795 = V708697. assign V215164 = V240706 + 1. assign V965145 = V392630. assign V944755 = V582060. assign V808738 = V163652. assign V257166 = V564940. assign V189009 = V519264. assign V403652 = V806737 + 1. assign V257751 = V728976 + 1. assign V945607 = V747141. assign V513912 = V728976 - 1. assign V893561 = V693905. assign V459355 = V916242 - 1. assign V708697 = V203303 + 1. assign V080194 = V163652 + 1. assign V865536 = V789557 + 1. assign V728976 = V522088 - 1. assign V700958 = V375376. assign V375376 = V516257 - 1. assign V163652 = V535888. assign V874130 = V342211 - 1. assign V267054 = V284117 - 1. assign V690502 = V513912 - 1. assign V535332 = V519264 - 1. assign V392630 = V535888. assign V806737 = V163652. assign V662328 = V916242 - 1. assign V958713 = V243883 - 1. assign V564940 = V747141. assign V686586 = V446834. assign V146805 = V392630 + 1. assign V916242 = V400957 + 1. assign V450090 = V201194. assign V945925 = V670940 + 1. assign V049929 = V243883 - 1. assign V001248 = V233767 + 1. assign V093024 = V459355. assign V886271 = V500040. assign V613659 = V243883 - 1. assign V284117 = V516257. assign V566357 = 0. assign V582060 = V189009 - 1. assign V063849 = V945925. assign V446834 = V916242. assign V139432 = V342211 + 1. assign V693905 = V392630. assign V850706 = V910042 - 1. assign V348419 = V257166. assign V718212 = V564940. assign V326153 = V535332 + 1. assign V359910 = V797831. assign V400957 = V392630 - 1. assign V163704 = V564940 + 1. assign V699020 = V874130 - 1. assign V603134 = V824004 - 1. assign V522088 = V284117 + 1. assign V140132 = V564940. assign V824004 = V446834 - 1. assign V203303 = V189009 - 1. assign V423019 = V240706 + 1. assign V519264 = V392630 + 1. assign V500040 = V243883. assign V797831 = V537795 + 1. assign V240706 = V535332 - 1. assign V201194 = V965145 - 1. assign V278766 = V240706 - 1. assign V670940 = V446834. assign V776309 = V500040 + 1. assign V413160 = V893561 - 1. assign V910042 = V874130 + 1. assign V101119 = V613659 + 1. assign V233767 = V747141 + 1. assign V025560 = V945925. assign V187055 = V582060 - 1. assign V331629 = V278766 + 1. assign V805699 = V728976. assign V760483 = V500040 - 1. assign V342211 = V582060 + 1. assign V747141 = V392630. assign V516257 = V519264. assign V789557 = V728976.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V243883 = V392630 - 1. assign V173178 = V693905. assign V261579 = V958713. assign V918806 = V613659. assign V039969 = V566357 + 1. assign V537795 = V708697. assign V215164 = V240706 + 1. assign V965145 = V392630. assign V944755 = V582060. assign V808738 = V163652. assign V257166 = V564940. assign V189009 = V519264. assign V403652 = V806737 + 1. assign V257751 = V728976 + 1. assign V945607 = V747141. assign V513912 = V728976 - 1. assign V893561 = V693905. assign V459355 = V916242 - 1. assign V708697 = V203303 + 1. assign V080194 = V163652 + 1. assign V865536 = V789557 + 1. assign V728976 = V522088 - 1. assign V700958 = V375376. assign V375376 = V516257 - 1. assign V163652 = V535888. assign V874130 = V342211 - 1. assign V267054 = V284117 - 1. assign V690502 = V513912 - 1. assign V535332 = V519264 - 1. assign V392630 = V535888. assign V806737 = V163652. assign V662328 = V916242 - 1. assign V958713 = V243883 - 1. assign V564940 = V747141. assign V686586 = V446834. assign V146805 = V392630 + 1. assign V916242 = V400957 + 1. assign V450090 = V201194. assign V945925 = V670940 + 1. assign V049929 = V243883 - 1. assign V001248 = V233767 + 1. assign V093024 = V459355. assign V886271 = V500040. assign V613659 = V243883 - 1. assign V284117 = V516257. assign V566357 = 0. assign V582060 = V189009 - 1. assign V063849 = V945925. assign V446834 = V916242. assign V139432 = V342211 + 1. assign V693905 = V392630. assign V850706 = V910042 - 1. assign V348419 = V257166. assign V718212 = V564940. assign V326153 = V535332 + 1. assign V359910 = V797831. assign V400957 = V392630 - 1. assign V163704 = V564940 + 1. assign V699020 = V874130 - 1. assign V603134 = V824004 - 1. assign V522088 = V284117 + 1. assign V140132 = V564940. assign V824004 = V446834 - 1. assign V203303 = V189009 - 1. assign V423019 = V240706 + 1. assign V519264 = V392630 + 1. assign V500040 = V243883. assign V797831 = V537795 + 1. assign V240706 = V535332 - 1. assign V201194 = V965145 - 1. assign V278766 = V240706 - 1. assign V670940 = V446834. assign V776309 = V500040 + 1. assign V413160 = V893561 - 1. assign V910042 = V874130 + 1. assign V101119 = V613659 + 1. assign V233767 = V747141 + 1. assign V025560 = V945925. assign V187055 = V582060 - 1. assign V331629 = V278766 + 1. assign V805699 = V728976. assign V760483 = V500040 - 1. assign V342211 = V582060 + 1. assign V747141 = V392630. assign V516257 = V519264. assign V789557 = V728976.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV566357 = 0;\n\nFrom these direct assignment(s), we have: \nV039969 = V566357 + 1 = 0 + 1 =1;\nNo other variables can be derived from V039969;\nNo other variables can be derived from V566357;\n\nNow we have done all the calculations. Derived variables are:\nV566357 = 0;\nV039969 = 1;\n\nNow we have finished this problem. ANSWER:\nV566357\n", "role": "assistant" } ]

[ "V674340" ]

[ { "content": "<context>\nassign V998967 = V534543 - 1. assign V888200 = V687807. assign V891210 = V632994 + 1. assign V309274 = V696301 + 1. assign V632994 = V242606 - 1. assign V054699 = V340722 - 1. assign V976871 = V242606 + 1. assign V840542 = V332425. assign V774584 = V696301 + 1. assign V977991 = V079603 + 1. assign V928112 = V891210 - 1. assign V493121 = V977991. assign V999469 = V767902 + 1. assign V399577 = V027703. assign V508099 = V632994 + 1. assign V765745 = V687807. assign V534543 = V632994 - 1. assign V796675 = V767902 - 1. assign V256159 = V490432 - 1. assign V418192 = V765745. assign V535991 = V399577. assign V906627 = V930542. assign V326948 = V480178. assign V425253 = V397203. assign V122385 = V309274 + 1. assign V664677 = V796675. assign V661814 = V122385 - 1. assign V950247 = V480178 - 1. assign V131896 = V490432 - 1. assign V120788 = V774584 - 1. assign V486162 = V687807 + 1. assign V100031 = V079603. assign V431796 = V534543 - 1. assign V490432 = V451385 - 1. assign V893553 = V976871 + 1. assign V930542 = V377596. assign V451385 = V534543. assign V416513 = V774584 + 1. assign V767902 = V026123. assign V240401 = V981224 - 1. assign V213827 = V079603. assign V033154 = V242606 - 1. assign V986699 = V893553. assign V981224 = V986699 + 1. assign V190859 = V893553 + 1. assign V594108 = V431796 + 1. assign V674340 = V731961 + 1. assign V342580 = V664677 + 1. assign V409818 = V304455. assign V067638 = V796675. assign V026123 = V377596 + 1. assign V210655 = V632994 + 1. assign V687807 = V534543. assign V522541 = V687807 - 1. assign V397203 = V190859 - 1. assign V263897 = V814638 + 1. assign V696301 = V332425 - 1. assign V356009 = V242606 - 1. assign V048677 = V340722 - 1. assign V298994 = V026123 + 1. assign V079603 = V632994 - 1. assign V597197 = V534543. assign V027958 = V309274 - 1. assign V871267 = V930542 + 1. assign V265294 = V340722 - 1. assign V482188 = V409818 + 1. assign V377596 = V356009 + 1. assign V689870 = V534543. assign V332425 = V632994. assign V022429 = V079603 - 1. assign V739137 = V431796 - 1. assign V171640 = V332425. assign V421748 = V027958. assign V040791 = V508099. assign V040205 = V986699. assign V731961 = 7. assign V516465 = V999469 + 1. assign V998710 = V171640 + 1. assign V113761 = V131896. assign V480178 = V033154 + 1. assign V027703 = V431796 - 1. assign V304455 = V696301 - 1. assign V340722 = V213827 + 1. assign V019005 = V976871 - 1. assign V814638 = V950247 + 1. assign V098180 = V309274 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V998967 = V534543 - 1. assign V888200 = V687807. assign V891210 = V632994 + 1. assign V309274 = V696301 + 1. assign V632994 = V242606 - 1. assign V054699 = V340722 - 1. assign V976871 = V242606 + 1. assign V840542 = V332425. assign V774584 = V696301 + 1. assign V977991 = V079603 + 1. assign V928112 = V891210 - 1. assign V493121 = V977991. assign V999469 = V767902 + 1. assign V399577 = V027703. assign V508099 = V632994 + 1. assign V765745 = V687807. assign V534543 = V632994 - 1. assign V796675 = V767902 - 1. assign V256159 = V490432 - 1. assign V418192 = V765745. assign V535991 = V399577. assign V906627 = V930542. assign V326948 = V480178. assign V425253 = V397203. assign V122385 = V309274 + 1. assign V664677 = V796675. assign V661814 = V122385 - 1. assign V950247 = V480178 - 1. assign V131896 = V490432 - 1. assign V120788 = V774584 - 1. assign V486162 = V687807 + 1. assign V100031 = V079603. assign V431796 = V534543 - 1. assign V490432 = V451385 - 1. assign V893553 = V976871 + 1. assign V930542 = V377596. assign V451385 = V534543. assign V416513 = V774584 + 1. assign V767902 = V026123. assign V240401 = V981224 - 1. assign V213827 = V079603. assign V033154 = V242606 - 1. assign V986699 = V893553. assign V981224 = V986699 + 1. assign V190859 = V893553 + 1. assign V594108 = V431796 + 1. assign V674340 = V731961 + 1. assign V342580 = V664677 + 1. assign V409818 = V304455. assign V067638 = V796675. assign V026123 = V377596 + 1. assign V210655 = V632994 + 1. assign V687807 = V534543. assign V522541 = V687807 - 1. assign V397203 = V190859 - 1. assign V263897 = V814638 + 1. assign V696301 = V332425 - 1. assign V356009 = V242606 - 1. assign V048677 = V340722 - 1. assign V298994 = V026123 + 1. assign V079603 = V632994 - 1. assign V597197 = V534543. assign V027958 = V309274 - 1. assign V871267 = V930542 + 1. assign V265294 = V340722 - 1. assign V482188 = V409818 + 1. assign V377596 = V356009 + 1. assign V689870 = V534543. assign V332425 = V632994. assign V022429 = V079603 - 1. assign V739137 = V431796 - 1. assign V171640 = V332425. assign V421748 = V027958. assign V040791 = V508099. assign V040205 = V986699. assign V731961 = 7. assign V516465 = V999469 + 1. assign V998710 = V171640 + 1. assign V113761 = V131896. assign V480178 = V033154 + 1. assign V027703 = V431796 - 1. assign V304455 = V696301 - 1. assign V340722 = V213827 + 1. assign V019005 = V976871 - 1. assign V814638 = V950247 + 1. assign V098180 = V309274 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV731961 = 7;\n\nFrom these direct assignment(s), we have: \nV674340 = V731961 + 1 = 7 + 1 =8;\nNo other variables can be derived from V674340;\nNo other variables can be derived from V731961;\n\nNow we have done all the calculations. Derived variables are:\nV731961 = 7;\nV674340 = 8;\n\nNow we have finished this problem. ANSWER:\nV674340\n", "role": "assistant" } ]

[ "V024356" ]

[ { "content": "<context>\nassign V876475 = V228038 - 1. assign V204786 = V228038 - 1. assign V551029 = V204786 + 1. assign V388647 = V686844. assign V024356 = V425733 + 1. assign V473561 = V087343. assign V846104 = V365218. assign V531277 = V385379 + 1. assign V566382 = V204786 - 1. assign V104182 = V365218 + 1. assign V664854 = V202533 - 1. assign V527393 = V365218. assign V114895 = V202533 - 1. assign V723190 = V204786. assign V385373 = V846104 + 1. assign V807161 = V881918. assign V568808 = V846104. assign V686844 = V087343 - 1. assign V410834 = V466748 - 1. assign V752701 = V813097 + 1. assign V916364 = V484540 - 1. assign V325139 = V498717. assign V697703 = V385379. assign V756585 = V188316. assign V087343 = V228038. assign V466748 = V686844 + 1. assign V389440 = V087343 + 1. assign V881918 = V713036. assign V361449 = V813097 + 1. assign V288671 = V202533. assign V581511 = V949176. assign V594300 = V975010 - 1. assign V570402 = V551029. assign V844331 = V846104 - 1. assign V365218 = V484540 - 1. assign V875567 = V228038. assign V048378 = V686844. assign V232507 = V771620 - 1. assign V559360 = V470457 - 1. assign V779788 = V064979. assign V509588 = V114895. assign V542084 = V559360 - 1. assign V949176 = V876475. assign V677699 = V276867 + 1. assign V204311 = V302652 - 1. assign V813097 = V551029 - 1. assign V748624 = V302652 - 1. assign V202533 = V949176 + 1. assign V324302 = V916364 + 1. assign V793370 = V050398 - 1. assign V962891 = V664916. assign V292874 = V677699 - 1. assign V484540 = V204786 - 1. assign V498717 = V551029 - 1. assign V276867 = V570402. assign V385379 = V686844. assign V176521 = V325139. assign V279050 = V909411. assign V263488 = V134071 + 1. assign V067960 = V664916 - 1. assign V064979 = V844331. assign V454318 = V559360 - 1. assign V286642 = V385373 + 1. assign V786900 = V527393 + 1. assign V238636 = V876475 + 1. assign V925613 = V581511 - 1. assign V909411 = V713036 + 1. assign V420719 = V635642 - 1. assign V134071 = V087343. assign V384049 = V470457. assign V146196 = V324302. assign V664916 = V876475 + 1. assign V302652 = V204786. assign V975010 = V087343 - 1. assign V188316 = V566382 - 1. assign V635642 = V288671 - 1. assign V507109 = V067960 + 1. assign V389895 = V228038. assign V084937 = V748624. assign V331511 = V559360. assign V470457 = V581511 - 1. assign V713036 = V385373 + 1. assign V050398 = V276867 - 1. assign V657370 = V875567 + 1. assign V425733 = 6. assign V771620 = V581511 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V876475 = V228038 - 1. assign V204786 = V228038 - 1. assign V551029 = V204786 + 1. assign V388647 = V686844. assign V024356 = V425733 + 1. assign V473561 = V087343. assign V846104 = V365218. assign V531277 = V385379 + 1. assign V566382 = V204786 - 1. assign V104182 = V365218 + 1. assign V664854 = V202533 - 1. assign V527393 = V365218. assign V114895 = V202533 - 1. assign V723190 = V204786. assign V385373 = V846104 + 1. assign V807161 = V881918. assign V568808 = V846104. assign V686844 = V087343 - 1. assign V410834 = V466748 - 1. assign V752701 = V813097 + 1. assign V916364 = V484540 - 1. assign V325139 = V498717. assign V697703 = V385379. assign V756585 = V188316. assign V087343 = V228038. assign V466748 = V686844 + 1. assign V389440 = V087343 + 1. assign V881918 = V713036. assign V361449 = V813097 + 1. assign V288671 = V202533. assign V581511 = V949176. assign V594300 = V975010 - 1. assign V570402 = V551029. assign V844331 = V846104 - 1. assign V365218 = V484540 - 1. assign V875567 = V228038. assign V048378 = V686844. assign V232507 = V771620 - 1. assign V559360 = V470457 - 1. assign V779788 = V064979. assign V509588 = V114895. assign V542084 = V559360 - 1. assign V949176 = V876475. assign V677699 = V276867 + 1. assign V204311 = V302652 - 1. assign V813097 = V551029 - 1. assign V748624 = V302652 - 1. assign V202533 = V949176 + 1. assign V324302 = V916364 + 1. assign V793370 = V050398 - 1. assign V962891 = V664916. assign V292874 = V677699 - 1. assign V484540 = V204786 - 1. assign V498717 = V551029 - 1. assign V276867 = V570402. assign V385379 = V686844. assign V176521 = V325139. assign V279050 = V909411. assign V263488 = V134071 + 1. assign V067960 = V664916 - 1. assign V064979 = V844331. assign V454318 = V559360 - 1. assign V286642 = V385373 + 1. assign V786900 = V527393 + 1. assign V238636 = V876475 + 1. assign V925613 = V581511 - 1. assign V909411 = V713036 + 1. assign V420719 = V635642 - 1. assign V134071 = V087343. assign V384049 = V470457. assign V146196 = V324302. assign V664916 = V876475 + 1. assign V302652 = V204786. assign V975010 = V087343 - 1. assign V188316 = V566382 - 1. assign V635642 = V288671 - 1. assign V507109 = V067960 + 1. assign V389895 = V228038. assign V084937 = V748624. assign V331511 = V559360. assign V470457 = V581511 - 1. assign V713036 = V385373 + 1. assign V050398 = V276867 - 1. assign V657370 = V875567 + 1. assign V425733 = 6. assign V771620 = V581511 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV425733 = 6;\n\nFrom these direct assignment(s), we have: \nV024356 = V425733 + 1 = 6 + 1 =7;\nNo other variables can be derived from V024356;\nNo other variables can be derived from V425733;\n\nNow we have done all the calculations. Derived variables are:\nV425733 = 6;\nV024356 = 7;\n\nNow we have finished this problem. ANSWER:\nV024356\n", "role": "assistant" } ]

[ "V559582" ]

[ { "content": "<context>\nassign V506291 = V183480. assign V595210 = V359804 + 1. assign V458472 = V193827 - 1. assign V675590 = V351366 - 1. assign V351366 = V498483 + 1. assign V336289 = V506861 - 1. assign V720779 = V865816 - 1. assign V019482 = V845054 - 1. assign V835803 = V506291 - 1. assign V772269 = V248885 - 1. assign V130539 = V976114 - 1. assign V937193 = V834331 + 1. assign V261542 = V731391 + 1. assign V297912 = V835803. assign V509521 = V841971 - 1. assign V495264 = V779818 - 1. assign V356154 = V044715 + 1. assign V498483 = V183480 + 1. assign V174468 = V720779. assign V409653 = V900689 - 1. assign V771731 = V043876 + 1. assign V961839 = V900689. assign V248885 = V093033. assign V124682 = V498698. assign V974151 = V297912 - 1. assign V822769 = V506291 + 1. assign V963537 = V572502 - 1. assign V183065 = V433347 - 1. assign V200867 = V918414 + 1. assign V093033 = V506291. assign V452223 = V269723 + 1. assign V824200 = V261542. assign V048384 = V822769 + 1. assign V836376 = V963537. assign V572502 = V822769 + 1. assign V744085 = V720779 + 1. assign V455282 = V824200 + 1. assign V433347 = V183480 - 1. assign V001584 = V297912 - 1. assign V269723 = V772269 + 1. assign V436049 = V297912. assign V900689 = V248885. assign V559582 = V126917 - 1. assign V193827 = V019482 + 1. assign V506861 = V297912. assign V976114 = V937193 + 1. assign V532449 = V932847 + 1. assign V126917 = 4. assign V951892 = V037121 - 1. assign V998624 = V951892. assign V011293 = V407074 - 1. assign V127860 = V498698 + 1. assign V845054 = V731391 - 1. assign V464202 = V127860. assign V609909 = V841971 + 1. assign V731391 = V183480 - 1. assign V043876 = V888383 + 1. assign V834331 = V183480. assign V040966 = V772269 - 1. assign V498698 = V248885. assign V044715 = V093033 - 1. assign V874381 = V506291 - 1. assign V037121 = V963537 - 1. assign V841971 = V248885. assign V888383 = V834331 - 1. assign V948333 = V779818 - 1. assign V359804 = V834331. assign V082731 = V498698. assign V932847 = V963537 - 1. assign V992451 = V082731 + 1. assign V918414 = V297912 - 1. assign V489799 = V200867 + 1. assign V779818 = V937193 + 1. assign V536130 = V733402 + 1. assign V259226 = V458472. assign V407074 = V043876. assign V789128 = V506861 - 1. assign V435225 = V837891 - 1. assign V733402 = V836376. assign V865816 = V731391. assign V144515 = V865816 - 1. assign V949877 = V609909 + 1. assign V710173 = V772269 + 1. assign V837891 = V037121. assign V017171 = V200867. assign V921117 = V336289 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V506291 = V183480. assign V595210 = V359804 + 1. assign V458472 = V193827 - 1. assign V675590 = V351366 - 1. assign V351366 = V498483 + 1. assign V336289 = V506861 - 1. assign V720779 = V865816 - 1. assign V019482 = V845054 - 1. assign V835803 = V506291 - 1. assign V772269 = V248885 - 1. assign V130539 = V976114 - 1. assign V937193 = V834331 + 1. assign V261542 = V731391 + 1. assign V297912 = V835803. assign V509521 = V841971 - 1. assign V495264 = V779818 - 1. assign V356154 = V044715 + 1. assign V498483 = V183480 + 1. assign V174468 = V720779. assign V409653 = V900689 - 1. assign V771731 = V043876 + 1. assign V961839 = V900689. assign V248885 = V093033. assign V124682 = V498698. assign V974151 = V297912 - 1. assign V822769 = V506291 + 1. assign V963537 = V572502 - 1. assign V183065 = V433347 - 1. assign V200867 = V918414 + 1. assign V093033 = V506291. assign V452223 = V269723 + 1. assign V824200 = V261542. assign V048384 = V822769 + 1. assign V836376 = V963537. assign V572502 = V822769 + 1. assign V744085 = V720779 + 1. assign V455282 = V824200 + 1. assign V433347 = V183480 - 1. assign V001584 = V297912 - 1. assign V269723 = V772269 + 1. assign V436049 = V297912. assign V900689 = V248885. assign V559582 = V126917 - 1. assign V193827 = V019482 + 1. assign V506861 = V297912. assign V976114 = V937193 + 1. assign V532449 = V932847 + 1. assign V126917 = 4. assign V951892 = V037121 - 1. assign V998624 = V951892. assign V011293 = V407074 - 1. assign V127860 = V498698 + 1. assign V845054 = V731391 - 1. assign V464202 = V127860. assign V609909 = V841971 + 1. assign V731391 = V183480 - 1. assign V043876 = V888383 + 1. assign V834331 = V183480. assign V040966 = V772269 - 1. assign V498698 = V248885. assign V044715 = V093033 - 1. assign V874381 = V506291 - 1. assign V037121 = V963537 - 1. assign V841971 = V248885. assign V888383 = V834331 - 1. assign V948333 = V779818 - 1. assign V359804 = V834331. assign V082731 = V498698. assign V932847 = V963537 - 1. assign V992451 = V082731 + 1. assign V918414 = V297912 - 1. assign V489799 = V200867 + 1. assign V779818 = V937193 + 1. assign V536130 = V733402 + 1. assign V259226 = V458472. assign V407074 = V043876. assign V789128 = V506861 - 1. assign V435225 = V837891 - 1. assign V733402 = V836376. assign V865816 = V731391. assign V144515 = V865816 - 1. assign V949877 = V609909 + 1. assign V710173 = V772269 + 1. assign V837891 = V037121. assign V017171 = V200867. assign V921117 = V336289 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV126917 = 4;\n\nFrom these direct assignment(s), we have: \nV559582 = V126917 - 1 = 4 - 1 =3;\nNo other variables can be derived from V559582;\nNo other variables can be derived from V126917;\n\nNow we have done all the calculations. Derived variables are:\nV126917 = 4;\nV559582 = 3;\n\nNow we have finished this problem. ANSWER:\nV559582\n", "role": "assistant" } ]

[ "V022851", "V563261" ]

[ { "content": "<context>\nassign V295110 = V795740. assign V244160 = V437273 - 1. assign V546146 = V560510 - 1. assign V702896 = V427984 + 1. assign V399448 = V523851 - 1. assign V139657 = V532414 - 1. assign V754035 = V408677 - 1. assign V109601 = V985928. assign V221293 = V658965 - 1. assign V462652 = V175574. assign V562485 = V523851 + 1. assign V979629 = V844674 + 1. assign V085082 = V523851. assign V575948 = V697046 + 1. assign V900819 = V419137. assign V359572 = V832565 - 1. assign V266066 = V437209 - 1. assign V851559 = V985928. assign V638890 = V408677 + 1. assign V364828 = V645820. assign V763437 = V752786 - 1. assign V224004 = V364828 - 1. assign V935975 = V537806 + 1. assign V226712 = V300486. assign V466118 = V629252 - 1. assign V653751 = V369639 - 1. assign V390741 = V264363 - 1. assign V198617 = V638890. assign V579423 = V278743. assign V738840 = V763437 + 1. assign V166474 = V437273 - 1. assign V175574 = V369639. assign V560510 = V523851. assign V402953 = V528874 + 1. assign V597099 = V523851 + 1. assign V545630 = V638890 - 1. assign V532414 = V645820. assign V461617 = V364828 + 1. assign V317764 = V224004 + 1. assign V685093 = V461617. assign V658965 = V359572. assign V704882 = V575948 - 1. assign V985928 = V645820 - 1. assign V419137 = V645820 - 1. assign V174999 = V985928 + 1. assign V437273 = V645820 - 1. assign V107071 = V085082 - 1. assign V408677 = V645820. assign V369639 = V537806 - 1. assign V437209 = V523851. assign V929588 = V399448 - 1. assign V832565 = V408677 + 1. assign V300486 = V364828 + 1. assign V653515 = V300486 + 1. assign V571472 = V657614. assign V155680 = V979629 - 1. assign V022851 = 3. assign V372557 = V085082 - 1. assign V528874 = V408677 - 1. assign V626091 = V979629. assign V795740 = V596182 + 1. assign V871157 = V844674 + 1. assign V844674 = V752786 - 1. assign V537806 = V408677. assign V657614 = V372557 + 1. assign V017272 = V929588 + 1. assign V944349 = V653515 + 1. assign V948145 = V364828. assign V511600 = V109601 - 1. assign V278743 = V844674. assign V427984 = V645820 + 1. assign V523851 = V645820. assign V629252 = V174999 + 1. assign V575297 = V562485 + 1. assign V520150 = V408677 - 1. assign V264363 = V364828. assign V697046 = V278743 + 1. assign V411834 = V851559 - 1. assign V552098 = V653751. assign V078213 = V653751. assign V761961 = V885628 + 1. assign V596182 = V174999 + 1. assign V563261 = V022851. assign V106975 = V520150. assign V645820 = V844674 + 1. assign V885628 = V399448.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V295110 = V795740. assign V244160 = V437273 - 1. assign V546146 = V560510 - 1. assign V702896 = V427984 + 1. assign V399448 = V523851 - 1. assign V139657 = V532414 - 1. assign V754035 = V408677 - 1. assign V109601 = V985928. assign V221293 = V658965 - 1. assign V462652 = V175574. assign V562485 = V523851 + 1. assign V979629 = V844674 + 1. assign V085082 = V523851. assign V575948 = V697046 + 1. assign V900819 = V419137. assign V359572 = V832565 - 1. assign V266066 = V437209 - 1. assign V851559 = V985928. assign V638890 = V408677 + 1. assign V364828 = V645820. assign V763437 = V752786 - 1. assign V224004 = V364828 - 1. assign V935975 = V537806 + 1. assign V226712 = V300486. assign V466118 = V629252 - 1. assign V653751 = V369639 - 1. assign V390741 = V264363 - 1. assign V198617 = V638890. assign V579423 = V278743. assign V738840 = V763437 + 1. assign V166474 = V437273 - 1. assign V175574 = V369639. assign V560510 = V523851. assign V402953 = V528874 + 1. assign V597099 = V523851 + 1. assign V545630 = V638890 - 1. assign V532414 = V645820. assign V461617 = V364828 + 1. assign V317764 = V224004 + 1. assign V685093 = V461617. assign V658965 = V359572. assign V704882 = V575948 - 1. assign V985928 = V645820 - 1. assign V419137 = V645820 - 1. assign V174999 = V985928 + 1. assign V437273 = V645820 - 1. assign V107071 = V085082 - 1. assign V408677 = V645820. assign V369639 = V537806 - 1. assign V437209 = V523851. assign V929588 = V399448 - 1. assign V832565 = V408677 + 1. assign V300486 = V364828 + 1. assign V653515 = V300486 + 1. assign V571472 = V657614. assign V155680 = V979629 - 1. assign V022851 = 3. assign V372557 = V085082 - 1. assign V528874 = V408677 - 1. assign V626091 = V979629. assign V795740 = V596182 + 1. assign V871157 = V844674 + 1. assign V844674 = V752786 - 1. assign V537806 = V408677. assign V657614 = V372557 + 1. assign V017272 = V929588 + 1. assign V944349 = V653515 + 1. assign V948145 = V364828. assign V511600 = V109601 - 1. assign V278743 = V844674. assign V427984 = V645820 + 1. assign V523851 = V645820. assign V629252 = V174999 + 1. assign V575297 = V562485 + 1. assign V520150 = V408677 - 1. assign V264363 = V364828. assign V697046 = V278743 + 1. assign V411834 = V851559 - 1. assign V552098 = V653751. assign V078213 = V653751. assign V761961 = V885628 + 1. assign V596182 = V174999 + 1. assign V563261 = V022851. assign V106975 = V520150. assign V645820 = V844674 + 1. assign V885628 = V399448.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV022851 = 3;\n\nFrom these direct assignment(s), we have: \nV563261 = V022851 = 3;\nNo other variables can be derived from V563261;\nNo other variables can be derived from V022851;\n\nNow we have done all the calculations. Derived variables are:\nV022851 = 3;\nV563261 = 3;\n\nNow we have finished this problem. ANSWER:\nV022851, V563261\n", "role": "assistant" } ]

[ "V659223" ]

[ { "content": "<context>\nassign V903288 = V918129 + 1. assign V194106 = V938636. assign V240947 = V315740 + 1. assign V803580 = V754498. assign V336784 = V918129 - 1. assign V009216 = V194106 - 1. assign V574021 = V009403 + 1. assign V025291 = V929668. assign V780381 = V311251 + 1. assign V380805 = V038172 - 1. assign V355269 = V871225. assign V767120 = V667278 - 1. assign V009403 = V871225. assign V694468 = V970815. assign V667278 = V938636 - 1. assign V281329 = V700100. assign V505645 = V565386 - 1. assign V858121 = V038172 + 1. assign V510917 = V708684 - 1. assign V929668 = V780381 - 1. assign V148772 = V311251. assign V574855 = V378836. assign V378836 = V461218 + 1. assign V754498 = V322760 - 1. assign V215445 = V721575 - 1. assign V315740 = V803580 - 1. assign V921418 = V858121. assign V103766 = V929668 - 1. assign V401728 = V871225 - 1. assign V871225 = V322760 + 1. assign V971946 = V311251. assign V934033 = V156104. assign V461218 = V311251 + 1. assign V480593 = V148772 - 1. assign V918129 = V601783 + 1. assign V463658 = V803580. assign V700100 = V311251 + 1. assign V786716 = V505645 - 1. assign V825666 = V780381 - 1. assign V882923 = V824328 - 1. assign V601783 = V971946 + 1. assign V102725 = V510917 - 1. assign V227197 = V156104 - 1. assign V470965 = V945998 + 1. assign V378537 = V803580 + 1. assign V659223 = 9. assign V051990 = V929668 - 1. assign V167895 = V970815 + 1. assign V188484 = V971946 - 1. assign V568288 = V929668. assign V678495 = V240947 - 1. assign V970815 = V825666 - 1. assign V907994 = V871225 + 1. assign V514702 = V311251 - 1. assign V806827 = V871225. assign V322760 = V461218 + 1. assign V739009 = V858121 - 1. assign V915821 = V505645 - 1. assign V305141 = V825666 + 1. assign V289304 = V470965 - 1. assign V938345 = V051990 - 1. assign V186985 = V877065 + 1. assign V250908 = V205304 - 1. assign V594338 = V754498. assign V598478 = V938636. assign V737552 = V659223 + 1. assign V945998 = V322760 - 1. assign V066818 = V009403. assign V156104 = V315740. assign V160119 = V051990 + 1. assign V800748 = V103766 + 1. assign V086293 = V322760. assign V565386 = V461218 - 1. assign V037013 = V708684 + 1. assign V824328 = V877065. assign V877065 = V700100 + 1. assign V076184 = V205304. assign V708684 = V971946 + 1. assign V212710 = V594338 + 1. assign V743600 = V882923. assign V773298 = V907994 + 1. assign V038172 = V103766. assign V947734 = V461218 + 1. assign V938636 = V461218 - 1. assign V721575 = V311251. assign V205304 = V009403 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V903288 = V918129 + 1. assign V194106 = V938636. assign V240947 = V315740 + 1. assign V803580 = V754498. assign V336784 = V918129 - 1. assign V009216 = V194106 - 1. assign V574021 = V009403 + 1. assign V025291 = V929668. assign V780381 = V311251 + 1. assign V380805 = V038172 - 1. assign V355269 = V871225. assign V767120 = V667278 - 1. assign V009403 = V871225. assign V694468 = V970815. assign V667278 = V938636 - 1. assign V281329 = V700100. assign V505645 = V565386 - 1. assign V858121 = V038172 + 1. assign V510917 = V708684 - 1. assign V929668 = V780381 - 1. assign V148772 = V311251. assign V574855 = V378836. assign V378836 = V461218 + 1. assign V754498 = V322760 - 1. assign V215445 = V721575 - 1. assign V315740 = V803580 - 1. assign V921418 = V858121. assign V103766 = V929668 - 1. assign V401728 = V871225 - 1. assign V871225 = V322760 + 1. assign V971946 = V311251. assign V934033 = V156104. assign V461218 = V311251 + 1. assign V480593 = V148772 - 1. assign V918129 = V601783 + 1. assign V463658 = V803580. assign V700100 = V311251 + 1. assign V786716 = V505645 - 1. assign V825666 = V780381 - 1. assign V882923 = V824328 - 1. assign V601783 = V971946 + 1. assign V102725 = V510917 - 1. assign V227197 = V156104 - 1. assign V470965 = V945998 + 1. assign V378537 = V803580 + 1. assign V659223 = 9. assign V051990 = V929668 - 1. assign V167895 = V970815 + 1. assign V188484 = V971946 - 1. assign V568288 = V929668. assign V678495 = V240947 - 1. assign V970815 = V825666 - 1. assign V907994 = V871225 + 1. assign V514702 = V311251 - 1. assign V806827 = V871225. assign V322760 = V461218 + 1. assign V739009 = V858121 - 1. assign V915821 = V505645 - 1. assign V305141 = V825666 + 1. assign V289304 = V470965 - 1. assign V938345 = V051990 - 1. assign V186985 = V877065 + 1. assign V250908 = V205304 - 1. assign V594338 = V754498. assign V598478 = V938636. assign V737552 = V659223 + 1. assign V945998 = V322760 - 1. assign V066818 = V009403. assign V156104 = V315740. assign V160119 = V051990 + 1. assign V800748 = V103766 + 1. assign V086293 = V322760. assign V565386 = V461218 - 1. assign V037013 = V708684 + 1. assign V824328 = V877065. assign V877065 = V700100 + 1. assign V076184 = V205304. assign V708684 = V971946 + 1. assign V212710 = V594338 + 1. assign V743600 = V882923. assign V773298 = V907994 + 1. assign V038172 = V103766. assign V947734 = V461218 + 1. assign V938636 = V461218 - 1. assign V721575 = V311251. assign V205304 = V009403 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV659223 = 9;\n\nFrom these direct assignment(s), we have: \nV737552 = V659223 + 1 = 9 + 1 =10;\nNo other variables can be derived from V737552;\nNo other variables can be derived from V659223;\n\nNow we have done all the calculations. Derived variables are:\nV659223 = 9;\nV737552 = 10;\n\nNow we have finished this problem. ANSWER:\nV659223\n", "role": "assistant" } ]

[ "V186765", "V047059" ]

[ { "content": "<context>\nassign V583749 = V370591 - 1. assign V449012 = V089226 + 1. assign V151024 = V921711. assign V554602 = V652486 - 1. assign V430458 = V668980 + 1. assign V698892 = V370591 - 1. assign V471812 = V053306 - 1. assign V851717 = V049244. assign V467184 = V370591 + 1. assign V858121 = V810644 + 1. assign V551914 = V810644 + 1. assign V968779 = V679908 - 1. assign V764303 = V444777 - 1. assign V611374 = V466634. assign V395376 = V599342. assign V186765 = 5. assign V053306 = V200932 - 1. assign V049244 = V690225. assign V420866 = V109322 - 1. assign V592189 = V652486. assign V505674 = V699550 + 1. assign V668980 = V942247 + 1. assign V702172 = V109322 - 1. assign V015044 = V701450 - 1. assign V699550 = V690225 + 1. assign V256744 = V200932 + 1. assign V467039 = V679908 + 1. assign V269040 = V466634 - 1. assign V171066 = V124531. assign V650492 = V764303. assign V106506 = V690225 + 1. assign V643587 = V650492 + 1. assign V764373 = V699550. assign V806125 = V650492 + 1. assign V942247 = V921711. assign V679908 = V466634. assign V901674 = V710281. assign V370591 = V611374 - 1. assign V418951 = V810644 + 1. assign V810644 = V467184 - 1. assign V172213 = V635014 - 1. assign V229110 = V200932. assign V177974 = V149021 + 1. assign V599342 = V650492 + 1. assign V430432 = V867010 - 1. assign V635014 = V690225 + 1. assign V074724 = V089226. assign V109322 = V781949 + 1. assign V710281 = V604513. assign V444777 = V229110 + 1. assign V274124 = V200932 - 1. assign V905068 = V650492. assign V610382 = V599342 + 1. assign V988373 = V430432. assign V808277 = V269040 + 1. assign V739733 = V923235. assign V973418 = V858121 - 1. assign V921711 = V370591 + 1. assign V729560 = V643290 + 1. assign V657542 = V858121 + 1. assign V047059 = V186765. assign V285322 = V505674. assign V570205 = V810644. assign V630903 = V699550 + 1. assign V867010 = V652486 + 1. assign V899148 = V611374 + 1. assign V604513 = V635014 - 1. assign V955954 = V171066 - 1. assign V820621 = V395376 + 1. assign V643290 = V551914 - 1. assign V089226 = V583749 + 1. assign V739853 = V652486 + 1. assign V402072 = V739853. assign V214136 = V739733 + 1. assign V149021 = V466634 + 1. assign V701450 = V467184. assign V234041 = V710281 + 1. assign V923235 = V505674 - 1. assign V690225 = V611374 + 1. assign V363840 = V808277 + 1. assign V124531 = V370591 - 1. assign V652486 = V200932 - 1. assign V297837 = V599342. assign V781949 = V810644 - 1. assign V200932 = V370591 - 1. assign V191310 = V699550 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V583749 = V370591 - 1. assign V449012 = V089226 + 1. assign V151024 = V921711. assign V554602 = V652486 - 1. assign V430458 = V668980 + 1. assign V698892 = V370591 - 1. assign V471812 = V053306 - 1. assign V851717 = V049244. assign V467184 = V370591 + 1. assign V858121 = V810644 + 1. assign V551914 = V810644 + 1. assign V968779 = V679908 - 1. assign V764303 = V444777 - 1. assign V611374 = V466634. assign V395376 = V599342. assign V186765 = 5. assign V053306 = V200932 - 1. assign V049244 = V690225. assign V420866 = V109322 - 1. assign V592189 = V652486. assign V505674 = V699550 + 1. assign V668980 = V942247 + 1. assign V702172 = V109322 - 1. assign V015044 = V701450 - 1. assign V699550 = V690225 + 1. assign V256744 = V200932 + 1. assign V467039 = V679908 + 1. assign V269040 = V466634 - 1. assign V171066 = V124531. assign V650492 = V764303. assign V106506 = V690225 + 1. assign V643587 = V650492 + 1. assign V764373 = V699550. assign V806125 = V650492 + 1. assign V942247 = V921711. assign V679908 = V466634. assign V901674 = V710281. assign V370591 = V611374 - 1. assign V418951 = V810644 + 1. assign V810644 = V467184 - 1. assign V172213 = V635014 - 1. assign V229110 = V200932. assign V177974 = V149021 + 1. assign V599342 = V650492 + 1. assign V430432 = V867010 - 1. assign V635014 = V690225 + 1. assign V074724 = V089226. assign V109322 = V781949 + 1. assign V710281 = V604513. assign V444777 = V229110 + 1. assign V274124 = V200932 - 1. assign V905068 = V650492. assign V610382 = V599342 + 1. assign V988373 = V430432. assign V808277 = V269040 + 1. assign V739733 = V923235. assign V973418 = V858121 - 1. assign V921711 = V370591 + 1. assign V729560 = V643290 + 1. assign V657542 = V858121 + 1. assign V047059 = V186765. assign V285322 = V505674. assign V570205 = V810644. assign V630903 = V699550 + 1. assign V867010 = V652486 + 1. assign V899148 = V611374 + 1. assign V604513 = V635014 - 1. assign V955954 = V171066 - 1. assign V820621 = V395376 + 1. assign V643290 = V551914 - 1. assign V089226 = V583749 + 1. assign V739853 = V652486 + 1. assign V402072 = V739853. assign V214136 = V739733 + 1. assign V149021 = V466634 + 1. assign V701450 = V467184. assign V234041 = V710281 + 1. assign V923235 = V505674 - 1. assign V690225 = V611374 + 1. assign V363840 = V808277 + 1. assign V124531 = V370591 - 1. assign V652486 = V200932 - 1. assign V297837 = V599342. assign V781949 = V810644 - 1. assign V200932 = V370591 - 1. assign V191310 = V699550 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV186765 = 5;\n\nFrom these direct assignment(s), we have: \nV047059 = V186765 = 5;\nNo other variables can be derived from V047059;\nNo other variables can be derived from V186765;\n\nNow we have done all the calculations. Derived variables are:\nV186765 = 5;\nV047059 = 5;\n\nNow we have finished this problem. ANSWER:\nV186765, V047059\n", "role": "assistant" } ]

[ "V286342" ]

[ { "content": "<context>\nassign V381896 = V777041. assign V700240 = V743237. assign V777041 = V208552. assign V392951 = V065833 - 1. assign V632481 = V367891. assign V054486 = V456574. assign V305949 = V927647. assign V271173 = V038482 - 1. assign V221924 = V877005. assign V468702 = V199694 - 1. assign V927647 = V877005 + 1. assign V387912 = V168996 - 1. assign V434159 = V927647. assign V472034 = V003366 + 1. assign V242791 = V978075 - 1. assign V573220 = V242791. assign V182402 = V102829. assign V865721 = V242791. assign V325217 = V221924. assign V583780 = V978075 + 1. assign V014613 = V065833. assign V814961 = V643858. assign V908578 = V208552 - 1. assign V216415 = V139464 - 1. assign V549348 = V927647 + 1. assign V120115 = V422906 + 1. assign V038482 = V940047. assign V497277 = V940421 - 1. assign V456574 = V199694. assign V208552 = V756093. assign V756093 = V789237 + 1. assign V465597 = V325217 + 1. assign V192038 = V065833. assign V495104 = V758706. assign V940421 = V080008. assign V984493 = V758706 + 1. assign V940047 = V065833. assign V973855 = 9. assign V520137 = V065833 - 1. assign V080008 = V789237 + 1. assign V927367 = V392951 + 1. assign V753249 = V639367. assign V268694 = V221924 + 1. assign V978075 = V438215. assign V003366 = V549348 + 1. assign V955293 = V168996. assign V422767 = V038482. assign V286342 = V973855 - 1. assign V030671 = V422767 - 1. assign V588422 = V097299 + 1. assign V365197 = V877005. assign V340057 = V065833. assign V168996 = V242791 + 1. assign V639367 = V054486 + 1. assign V216168 = V753249 - 1. assign V097299 = V978075 + 1. assign V281190 = V199694 - 1. assign V299946 = V940421 - 1. assign V289394 = V438215 - 1. assign V422906 = V643858 - 1. assign V438215 = V065833 - 1. assign V224216 = V743237. assign V643858 = V978075. assign V951994 = V927647 + 1. assign V877005 = V065833 - 1. assign V102829 = V367891 - 1. assign V575292 = V940047 + 1. assign V062880 = V009687 - 1. assign V462137 = V381896 + 1. assign V061648 = V756093. assign V160895 = V877005. assign V551655 = V065833. assign V139464 = V097299 - 1. assign V758706 = V877005 + 1. assign V636917 = V877005 + 1. assign V367891 = V422767 + 1. assign V743237 = V456574 - 1. assign V199694 = V636917. assign V173513 = V009687. assign V358860 = V340057 - 1. assign V907941 = V758706 - 1. assign V076484 = V173513 - 1. assign V245153 = V422906. assign V789237 = V038482. assign V108549 = V080008 - 1. assign V009687 = V456574.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V381896 = V777041. assign V700240 = V743237. assign V777041 = V208552. assign V392951 = V065833 - 1. assign V632481 = V367891. assign V054486 = V456574. assign V305949 = V927647. assign V271173 = V038482 - 1. assign V221924 = V877005. assign V468702 = V199694 - 1. assign V927647 = V877005 + 1. assign V387912 = V168996 - 1. assign V434159 = V927647. assign V472034 = V003366 + 1. assign V242791 = V978075 - 1. assign V573220 = V242791. assign V182402 = V102829. assign V865721 = V242791. assign V325217 = V221924. assign V583780 = V978075 + 1. assign V014613 = V065833. assign V814961 = V643858. assign V908578 = V208552 - 1. assign V216415 = V139464 - 1. assign V549348 = V927647 + 1. assign V120115 = V422906 + 1. assign V038482 = V940047. assign V497277 = V940421 - 1. assign V456574 = V199694. assign V208552 = V756093. assign V756093 = V789237 + 1. assign V465597 = V325217 + 1. assign V192038 = V065833. assign V495104 = V758706. assign V940421 = V080008. assign V984493 = V758706 + 1. assign V940047 = V065833. assign V973855 = 9. assign V520137 = V065833 - 1. assign V080008 = V789237 + 1. assign V927367 = V392951 + 1. assign V753249 = V639367. assign V268694 = V221924 + 1. assign V978075 = V438215. assign V003366 = V549348 + 1. assign V955293 = V168996. assign V422767 = V038482. assign V286342 = V973855 - 1. assign V030671 = V422767 - 1. assign V588422 = V097299 + 1. assign V365197 = V877005. assign V340057 = V065833. assign V168996 = V242791 + 1. assign V639367 = V054486 + 1. assign V216168 = V753249 - 1. assign V097299 = V978075 + 1. assign V281190 = V199694 - 1. assign V299946 = V940421 - 1. assign V289394 = V438215 - 1. assign V422906 = V643858 - 1. assign V438215 = V065833 - 1. assign V224216 = V743237. assign V643858 = V978075. assign V951994 = V927647 + 1. assign V877005 = V065833 - 1. assign V102829 = V367891 - 1. assign V575292 = V940047 + 1. assign V062880 = V009687 - 1. assign V462137 = V381896 + 1. assign V061648 = V756093. assign V160895 = V877005. assign V551655 = V065833. assign V139464 = V097299 - 1. assign V758706 = V877005 + 1. assign V636917 = V877005 + 1. assign V367891 = V422767 + 1. assign V743237 = V456574 - 1. assign V199694 = V636917. assign V173513 = V009687. assign V358860 = V340057 - 1. assign V907941 = V758706 - 1. assign V076484 = V173513 - 1. assign V245153 = V422906. assign V789237 = V038482. assign V108549 = V080008 - 1. assign V009687 = V456574.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV973855 = 9;\n\nFrom these direct assignment(s), we have: \nV286342 = V973855 - 1 = 9 - 1 =8;\nNo other variables can be derived from V286342;\nNo other variables can be derived from V973855;\n\nNow we have done all the calculations. Derived variables are:\nV973855 = 9;\nV286342 = 8;\n\nNow we have finished this problem. ANSWER:\nV286342\n", "role": "assistant" } ]

[ "V961573" ]

[ { "content": "<context>\nassign V675210 = V865862. assign V375889 = V860864 - 1. assign V617593 = V490611 + 1. assign V613230 = V408167 - 1. assign V573029 = V644372. assign V923963 = V729001 - 1. assign V678067 = V199754 + 1. assign V769500 = V243875 + 1. assign V027363 = V838555 + 1. assign V596893 = V377610 - 1. assign V489660 = 5. assign V449952 = V109578 - 1. assign V092614 = V057873. assign V536455 = V979216 + 1. assign V359865 = V182188 - 1. assign V866140 = V229813 - 1. assign V378410 = V408167 + 1. assign V199754 = V062345 + 1. assign V159378 = V405530 + 1. assign V513173 = V391083 - 1. assign V707754 = V062345 + 1. assign V272331 = V057873 + 1. assign V640429 = V092614 - 1. assign V539025 = V860864 + 1. assign V329854 = V979216. assign V979216 = V801437 - 1. assign V006959 = V513173 - 1. assign V007977 = V262811 + 1. assign V801437 = V262811 + 1. assign V887085 = V109578 - 1. assign V644372 = V007977. assign V113380 = V617593 - 1. assign V299750 = V613230. assign V860864 = V262811 - 1. assign V464555 = V844272 - 1. assign V329635 = V965337. assign V128794 = V513173. assign V138547 = V262811 - 1. assign V374465 = V199754. assign V109578 = V707754. assign V729001 = V490611. assign V057873 = V062345 - 1. assign V182188 = V128186 + 1. assign V274507 = V391083 - 1. assign V062345 = V262811. assign V450977 = V573029. assign V473527 = V391083. assign V844272 = V063718. assign V583449 = V539025 - 1. assign V117757 = V408167 - 1. assign V391083 = V707754 - 1. assign V865862 = V913731. assign V490611 = V109578. assign V635634 = V707754 + 1. assign V243875 = V860864 + 1. assign V649023 = V707754 + 1. assign V653242 = V117757 - 1. assign V998160 = V159378. assign V809596 = V979216. assign V258037 = V649023. assign V663519 = V536455 + 1. assign V913731 = V450977. assign V063718 = V801437 + 1. assign V071726 = V329635. assign V051890 = V617593. assign V078528 = V860864. assign V217994 = V635634 + 1. assign V377610 = V801437. assign V276591 = V329854 + 1. assign V405530 = V860864. assign V838555 = V405530 - 1. assign V974452 = V513173 - 1. assign V961573 = V489660 - 1. assign V094951 = V644372 - 1. assign V166773 = V377610. assign V728981 = V182188. assign V701316 = V391083. assign V408167 = V062345. assign V128186 = V408167. assign V580556 = V490611. assign V982478 = V159378 + 1. assign V754766 = V649023 - 1. assign V229813 = V374465 + 1. assign V731852 = V007977 + 1. assign V609073 = V769500 - 1. assign V965337 = V138547 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V675210 = V865862. assign V375889 = V860864 - 1. assign V617593 = V490611 + 1. assign V613230 = V408167 - 1. assign V573029 = V644372. assign V923963 = V729001 - 1. assign V678067 = V199754 + 1. assign V769500 = V243875 + 1. assign V027363 = V838555 + 1. assign V596893 = V377610 - 1. assign V489660 = 5. assign V449952 = V109578 - 1. assign V092614 = V057873. assign V536455 = V979216 + 1. assign V359865 = V182188 - 1. assign V866140 = V229813 - 1. assign V378410 = V408167 + 1. assign V199754 = V062345 + 1. assign V159378 = V405530 + 1. assign V513173 = V391083 - 1. assign V707754 = V062345 + 1. assign V272331 = V057873 + 1. assign V640429 = V092614 - 1. assign V539025 = V860864 + 1. assign V329854 = V979216. assign V979216 = V801437 - 1. assign V006959 = V513173 - 1. assign V007977 = V262811 + 1. assign V801437 = V262811 + 1. assign V887085 = V109578 - 1. assign V644372 = V007977. assign V113380 = V617593 - 1. assign V299750 = V613230. assign V860864 = V262811 - 1. assign V464555 = V844272 - 1. assign V329635 = V965337. assign V128794 = V513173. assign V138547 = V262811 - 1. assign V374465 = V199754. assign V109578 = V707754. assign V729001 = V490611. assign V057873 = V062345 - 1. assign V182188 = V128186 + 1. assign V274507 = V391083 - 1. assign V062345 = V262811. assign V450977 = V573029. assign V473527 = V391083. assign V844272 = V063718. assign V583449 = V539025 - 1. assign V117757 = V408167 - 1. assign V391083 = V707754 - 1. assign V865862 = V913731. assign V490611 = V109578. assign V635634 = V707754 + 1. assign V243875 = V860864 + 1. assign V649023 = V707754 + 1. assign V653242 = V117757 - 1. assign V998160 = V159378. assign V809596 = V979216. assign V258037 = V649023. assign V663519 = V536455 + 1. assign V913731 = V450977. assign V063718 = V801437 + 1. assign V071726 = V329635. assign V051890 = V617593. assign V078528 = V860864. assign V217994 = V635634 + 1. assign V377610 = V801437. assign V276591 = V329854 + 1. assign V405530 = V860864. assign V838555 = V405530 - 1. assign V974452 = V513173 - 1. assign V961573 = V489660 - 1. assign V094951 = V644372 - 1. assign V166773 = V377610. assign V728981 = V182188. assign V701316 = V391083. assign V408167 = V062345. assign V128186 = V408167. assign V580556 = V490611. assign V982478 = V159378 + 1. assign V754766 = V649023 - 1. assign V229813 = V374465 + 1. assign V731852 = V007977 + 1. assign V609073 = V769500 - 1. assign V965337 = V138547 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV489660 = 5;\n\nFrom these direct assignment(s), we have: \nV961573 = V489660 - 1 = 5 - 1 =4;\nNo other variables can be derived from V961573;\nNo other variables can be derived from V489660;\n\nNow we have done all the calculations. Derived variables are:\nV489660 = 5;\nV961573 = 4;\n\nNow we have finished this problem. ANSWER:\nV961573\n", "role": "assistant" } ]

[ "V333512" ]

[ { "content": "<context>\nassign V535767 = V375330. assign V295143 = V824811 + 1. assign V745020 = V430187 + 1. assign V024391 = V982379. assign V390466 = V052828 + 1. assign V233163 = V443093 + 1. assign V547368 = V678765 + 1. assign V805583 = V375330 + 1. assign V258088 = V824811. assign V216408 = V740240 + 1. assign V806689 = V433416. assign V192153 = V650288 - 1. assign V924762 = V674243 + 1. assign V675999 = V678765 - 1. assign V113714 = V888925. assign V545902 = V602546 + 1. assign V981082 = V142193 - 1. assign V674243 = V156597 - 1. assign V650288 = V741539. assign V164582 = V443927. assign V763926 = V430187. assign V429748 = V207633. assign V070550 = V013818. assign V928052 = V650288 - 1. assign V466508 = V581480 + 1. assign V591553 = V156597 + 1. assign V052828 = V974052 + 1. assign V565223 = V198247. assign V607971 = V960524 + 1. assign V535738 = V745020 + 1. assign V745123 = V198247. assign V192595 = V375330 + 1. assign V162550 = V740240 + 1. assign V433416 = V142193 - 1. assign V741539 = V880854 - 1. assign V888925 = V688378 - 1. assign V602546 = V806689. assign V388057 = V675999. assign V139515 = V688378 - 1. assign V982379 = V433416 - 1. assign V259109 = V880854. assign V642025 = V433416 - 1. assign V806014 = V650288. assign V013818 = V880854 + 1. assign V066554 = V675999. assign V352073 = V433416. assign V443093 = V675999 + 1. assign V406886 = V352073 + 1. assign V443927 = V960524. assign V574197 = V581480 - 1. assign V581480 = V375330. assign V683732 = V333512 - 1. assign V740240 = V433416 + 1. assign V675142 = V216408. assign V582908 = V948450. assign V946033 = V429748. assign V375330 = V142193. assign V477523 = V678765. assign V210880 = V139515. assign V824811 = V052828 + 1. assign V974052 = V880854 + 1. assign V156597 = V888925. assign V678765 = V375330 + 1. assign V948450 = V602546 - 1. assign V578506 = V763926. assign V236990 = V981082 + 1. assign V960524 = V253797 + 1. assign V899792 = V113714 + 1. assign V198247 = V960524. assign V986434 = V740240 + 1. assign V333512 = 8. assign V722912 = V390466 + 1. assign V207633 = V013818 - 1. assign V790039 = V443093 + 1. assign V688378 = V460768 + 1. assign V116442 = V894072. assign V460768 = V650288 + 1. assign V268044 = V642025 - 1. assign V253797 = V142193. assign V430187 = V377804. assign V177402 = V824811. assign V377804 = V650288 - 1. assign V894072 = V824811. assign V683850 = V806689 + 1. assign V142193 = V880854 + 1. assign V916326 = V675999 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V535767 = V375330. assign V295143 = V824811 + 1. assign V745020 = V430187 + 1. assign V024391 = V982379. assign V390466 = V052828 + 1. assign V233163 = V443093 + 1. assign V547368 = V678765 + 1. assign V805583 = V375330 + 1. assign V258088 = V824811. assign V216408 = V740240 + 1. assign V806689 = V433416. assign V192153 = V650288 - 1. assign V924762 = V674243 + 1. assign V675999 = V678765 - 1. assign V113714 = V888925. assign V545902 = V602546 + 1. assign V981082 = V142193 - 1. assign V674243 = V156597 - 1. assign V650288 = V741539. assign V164582 = V443927. assign V763926 = V430187. assign V429748 = V207633. assign V070550 = V013818. assign V928052 = V650288 - 1. assign V466508 = V581480 + 1. assign V591553 = V156597 + 1. assign V052828 = V974052 + 1. assign V565223 = V198247. assign V607971 = V960524 + 1. assign V535738 = V745020 + 1. assign V745123 = V198247. assign V192595 = V375330 + 1. assign V162550 = V740240 + 1. assign V433416 = V142193 - 1. assign V741539 = V880854 - 1. assign V888925 = V688378 - 1. assign V602546 = V806689. assign V388057 = V675999. assign V139515 = V688378 - 1. assign V982379 = V433416 - 1. assign V259109 = V880854. assign V642025 = V433416 - 1. assign V806014 = V650288. assign V013818 = V880854 + 1. assign V066554 = V675999. assign V352073 = V433416. assign V443093 = V675999 + 1. assign V406886 = V352073 + 1. assign V443927 = V960524. assign V574197 = V581480 - 1. assign V581480 = V375330. assign V683732 = V333512 - 1. assign V740240 = V433416 + 1. assign V675142 = V216408. assign V582908 = V948450. assign V946033 = V429748. assign V375330 = V142193. assign V477523 = V678765. assign V210880 = V139515. assign V824811 = V052828 + 1. assign V974052 = V880854 + 1. assign V156597 = V888925. assign V678765 = V375330 + 1. assign V948450 = V602546 - 1. assign V578506 = V763926. assign V236990 = V981082 + 1. assign V960524 = V253797 + 1. assign V899792 = V113714 + 1. assign V198247 = V960524. assign V986434 = V740240 + 1. assign V333512 = 8. assign V722912 = V390466 + 1. assign V207633 = V013818 - 1. assign V790039 = V443093 + 1. assign V688378 = V460768 + 1. assign V116442 = V894072. assign V460768 = V650288 + 1. assign V268044 = V642025 - 1. assign V253797 = V142193. assign V430187 = V377804. assign V177402 = V824811. assign V377804 = V650288 - 1. assign V894072 = V824811. assign V683850 = V806689 + 1. assign V142193 = V880854 + 1. assign V916326 = V675999 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV333512 = 8;\n\nFrom these direct assignment(s), we have: \nV683732 = V333512 - 1 = 8 - 1 =7;\nNo other variables can be derived from V683732;\nNo other variables can be derived from V333512;\n\nNow we have done all the calculations. Derived variables are:\nV333512 = 8;\nV683732 = 7;\n\nNow we have finished this problem. ANSWER:\nV333512\n", "role": "assistant" } ]

[ "V085275" ]

[ { "content": "<context>\nassign V020602 = V612480 - 1. assign V726787 = V512805 - 1. assign V041940 = V959107. assign V272563 = V430856 + 1. assign V256268 = V085275 - 1. assign V446130 = V539103 - 1. assign V237704 = V272563. assign V367064 = V954140. assign V797938 = V896379 - 1. assign V196417 = V450882. assign V539103 = V231456 + 1. assign V801992 = V237704. assign V231456 = V528993 - 1. assign V922153 = V237704. assign V085275 = 3. assign V876596 = V279361. assign V644932 = V786434 - 1. assign V122606 = V757905 - 1. assign V482114 = V528993 - 1. assign V909128 = V032645. assign V151062 = V726954 - 1. assign V400937 = V840044. assign V528993 = V959107. assign V993457 = V852830 + 1. assign V879152 = V032645 - 1. assign V933577 = V993457 + 1. assign V594832 = V237704. assign V839276 = V241625 + 1. assign V410060 = V103677. assign V490505 = V482114 + 1. assign V242969 = V237704 - 1. assign V906145 = V279361 + 1. assign V241625 = V379930 + 1. assign V849694 = V450882. assign V972401 = V006805. assign V784550 = V594832 - 1. assign V547429 = V272563 - 1. assign V249796 = V612480. assign V786434 = V692851 - 1. assign V164549 = V237704. assign V284693 = V922153 - 1. assign V968059 = V482114. assign V757905 = V032645 - 1. assign V749044 = V241625 - 1. assign V124158 = V035826. assign V978421 = V446130 + 1. assign V575664 = V801992 - 1. assign V450882 = V512805 - 1. assign V508630 = V852830 - 1. assign V343268 = V006805. assign V612480 = V272563. assign V103677 = V879152 + 1. assign V995777 = V849694. assign V766131 = V512805 - 1. assign V636320 = V909128 - 1. assign V302193 = V909128 - 1. assign V896379 = V242969 + 1. assign V836587 = V249796 - 1. assign V643298 = V512805. assign V554614 = V103677 + 1. assign V819615 = V231456 + 1. assign V840044 = V801992 - 1. assign V201318 = V849694. assign V032645 = V279361. assign V596382 = V490505 + 1. assign V975281 = V006805 - 1. assign V035826 = V879152 + 1. assign V279361 = V959107 - 1. assign V379930 = V726787. assign V846242 = V588971. assign V006805 = V539103. assign V880599 = V959107. assign V430856 = V006805 + 1. assign V588971 = V450882. assign V726954 = V978421 - 1. assign V922542 = V272563 + 1. assign V954140 = V446130. assign V122724 = V032645 + 1. assign V951298 = V978421 - 1. assign V852830 = V539103 + 1. assign V692851 = V880599 - 1. assign V566428 = V242969. assign V512805 = V959107 - 1. assign V613256 = V430856. assign V096676 = V757905. assign V353438 = V512805 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V020602 = V612480 - 1. assign V726787 = V512805 - 1. assign V041940 = V959107. assign V272563 = V430856 + 1. assign V256268 = V085275 - 1. assign V446130 = V539103 - 1. assign V237704 = V272563. assign V367064 = V954140. assign V797938 = V896379 - 1. assign V196417 = V450882. assign V539103 = V231456 + 1. assign V801992 = V237704. assign V231456 = V528993 - 1. assign V922153 = V237704. assign V085275 = 3. assign V876596 = V279361. assign V644932 = V786434 - 1. assign V122606 = V757905 - 1. assign V482114 = V528993 - 1. assign V909128 = V032645. assign V151062 = V726954 - 1. assign V400937 = V840044. assign V528993 = V959107. assign V993457 = V852830 + 1. assign V879152 = V032645 - 1. assign V933577 = V993457 + 1. assign V594832 = V237704. assign V839276 = V241625 + 1. assign V410060 = V103677. assign V490505 = V482114 + 1. assign V242969 = V237704 - 1. assign V906145 = V279361 + 1. assign V241625 = V379930 + 1. assign V849694 = V450882. assign V972401 = V006805. assign V784550 = V594832 - 1. assign V547429 = V272563 - 1. assign V249796 = V612480. assign V786434 = V692851 - 1. assign V164549 = V237704. assign V284693 = V922153 - 1. assign V968059 = V482114. assign V757905 = V032645 - 1. assign V749044 = V241625 - 1. assign V124158 = V035826. assign V978421 = V446130 + 1. assign V575664 = V801992 - 1. assign V450882 = V512805 - 1. assign V508630 = V852830 - 1. assign V343268 = V006805. assign V612480 = V272563. assign V103677 = V879152 + 1. assign V995777 = V849694. assign V766131 = V512805 - 1. assign V636320 = V909128 - 1. assign V302193 = V909128 - 1. assign V896379 = V242969 + 1. assign V836587 = V249796 - 1. assign V643298 = V512805. assign V554614 = V103677 + 1. assign V819615 = V231456 + 1. assign V840044 = V801992 - 1. assign V201318 = V849694. assign V032645 = V279361. assign V596382 = V490505 + 1. assign V975281 = V006805 - 1. assign V035826 = V879152 + 1. assign V279361 = V959107 - 1. assign V379930 = V726787. assign V846242 = V588971. assign V006805 = V539103. assign V880599 = V959107. assign V430856 = V006805 + 1. assign V588971 = V450882. assign V726954 = V978421 - 1. assign V922542 = V272563 + 1. assign V954140 = V446130. assign V122724 = V032645 + 1. assign V951298 = V978421 - 1. assign V852830 = V539103 + 1. assign V692851 = V880599 - 1. assign V566428 = V242969. assign V512805 = V959107 - 1. assign V613256 = V430856. assign V096676 = V757905. assign V353438 = V512805 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV085275 = 3;\n\nFrom these direct assignment(s), we have: \nV256268 = V085275 - 1 = 3 - 1 =2;\nNo other variables can be derived from V256268;\nNo other variables can be derived from V085275;\n\nNow we have done all the calculations. Derived variables are:\nV085275 = 3;\nV256268 = 2;\n\nNow we have finished this problem. ANSWER:\nV085275\n", "role": "assistant" } ]

[ "V931968", "V958923" ]

[ { "content": "<context>\nassign V865860 = V604138 - 1. assign V901148 = V317430. assign V066961 = V408971. assign V297807 = V824540 + 1. assign V810759 = V901148 + 1. assign V194519 = V603028 + 1. assign V705419 = V604138 + 1. assign V500304 = V604138. assign V539305 = V408971 - 1. assign V798598 = V768420. assign V165400 = V317430. assign V924853 = V126678. assign V630590 = V310299 + 1. assign V492513 = V572945. assign V565012 = V408971. assign V341928 = V642967 + 1. assign V650624 = V297807 + 1. assign V129322 = V705419. assign V723110 = V705419 + 1. assign V532525 = V178262. assign V721447 = V165400 + 1. assign V644823 = V691241. assign V178262 = V604138 - 1. assign V286364 = V115737 + 1. assign V109990 = V539305. assign V192856 = V577593 - 1. assign V837872 = V349119 + 1. assign V231445 = V691241 + 1. assign V768420 = V103805. assign V612184 = V258761. assign V642967 = V317430. assign V958923 = V931968. assign V357425 = V247899 - 1. assign V409423 = V768420 - 1. assign V703890 = V317430 + 1. assign V744022 = V604138. assign V115737 = V258761 - 1. assign V931968 = 7. assign V642087 = V349119 + 1. assign V691241 = V724537 + 1. assign V317008 = V604138 + 1. assign V577593 = V691241 + 1. assign V824540 = V603028. assign V603028 = V049924. assign V667461 = V192856 + 1. assign V580291 = V310299 - 1. assign V317430 = V355608 + 1. assign V049924 = V604138 - 1. assign V596813 = V554615. assign V247899 = V805610 - 1. assign V805610 = V642967 - 1. assign V986730 = V066961 - 1. assign V638224 = V768420 + 1. assign V826979 = V572945. assign V227785 = V603028 + 1. assign V310299 = V258761 - 1. assign V711578 = V570831. assign V724544 = V165400. assign V622321 = V644823 - 1. assign V965154 = V500304. assign V776419 = V408971 - 1. assign V349119 = V705961. assign V483295 = V724537 + 1. assign V724373 = V865860. assign V198044 = V066961 - 1. assign V922647 = V408971 - 1. assign V572945 = V965154 - 1. assign V657089 = V297807 + 1. assign V355608 = V604138. assign V923205 = V612184 + 1. assign V720647 = V103805. assign V393561 = V577593 + 1. assign V258761 = V565012 + 1. assign V408971 = V355608 - 1. assign V570831 = V103805 - 1. assign V660163 = V317430. assign V234715 = V349119 + 1. assign V126678 = V178262. assign V370665 = V644823 - 1. assign V103805 = V049924 - 1. assign V724537 = V824540 - 1. assign V609750 = V798598 + 1. assign V554615 = V565012. assign V504696 = V724544 + 1. assign V076759 = V349119 + 1. assign V705961 = V532525 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V865860 = V604138 - 1. assign V901148 = V317430. assign V066961 = V408971. assign V297807 = V824540 + 1. assign V810759 = V901148 + 1. assign V194519 = V603028 + 1. assign V705419 = V604138 + 1. assign V500304 = V604138. assign V539305 = V408971 - 1. assign V798598 = V768420. assign V165400 = V317430. assign V924853 = V126678. assign V630590 = V310299 + 1. assign V492513 = V572945. assign V565012 = V408971. assign V341928 = V642967 + 1. assign V650624 = V297807 + 1. assign V129322 = V705419. assign V723110 = V705419 + 1. assign V532525 = V178262. assign V721447 = V165400 + 1. assign V644823 = V691241. assign V178262 = V604138 - 1. assign V286364 = V115737 + 1. assign V109990 = V539305. assign V192856 = V577593 - 1. assign V837872 = V349119 + 1. assign V231445 = V691241 + 1. assign V768420 = V103805. assign V612184 = V258761. assign V642967 = V317430. assign V958923 = V931968. assign V357425 = V247899 - 1. assign V409423 = V768420 - 1. assign V703890 = V317430 + 1. assign V744022 = V604138. assign V115737 = V258761 - 1. assign V931968 = 7. assign V642087 = V349119 + 1. assign V691241 = V724537 + 1. assign V317008 = V604138 + 1. assign V577593 = V691241 + 1. assign V824540 = V603028. assign V603028 = V049924. assign V667461 = V192856 + 1. assign V580291 = V310299 - 1. assign V317430 = V355608 + 1. assign V049924 = V604138 - 1. assign V596813 = V554615. assign V247899 = V805610 - 1. assign V805610 = V642967 - 1. assign V986730 = V066961 - 1. assign V638224 = V768420 + 1. assign V826979 = V572945. assign V227785 = V603028 + 1. assign V310299 = V258761 - 1. assign V711578 = V570831. assign V724544 = V165400. assign V622321 = V644823 - 1. assign V965154 = V500304. assign V776419 = V408971 - 1. assign V349119 = V705961. assign V483295 = V724537 + 1. assign V724373 = V865860. assign V198044 = V066961 - 1. assign V922647 = V408971 - 1. assign V572945 = V965154 - 1. assign V657089 = V297807 + 1. assign V355608 = V604138. assign V923205 = V612184 + 1. assign V720647 = V103805. assign V393561 = V577593 + 1. assign V258761 = V565012 + 1. assign V408971 = V355608 - 1. assign V570831 = V103805 - 1. assign V660163 = V317430. assign V234715 = V349119 + 1. assign V126678 = V178262. assign V370665 = V644823 - 1. assign V103805 = V049924 - 1. assign V724537 = V824540 - 1. assign V609750 = V798598 + 1. assign V554615 = V565012. assign V504696 = V724544 + 1. assign V076759 = V349119 + 1. assign V705961 = V532525 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV931968 = 7;\n\nFrom these direct assignment(s), we have: \nV958923 = V931968 = 7;\nNo other variables can be derived from V958923;\nNo other variables can be derived from V931968;\n\nNow we have done all the calculations. Derived variables are:\nV931968 = 7;\nV958923 = 7;\n\nNow we have finished this problem. ANSWER:\nV931968, V958923\n", "role": "assistant" } ]

[ "V543338" ]

[ { "content": "<context>\nassign V901159 = V224086 - 1. assign V611414 = V775639 + 1. assign V463274 = V675257 - 1. assign V137399 = V729675 - 1. assign V778616 = V182586 + 1. assign V071564 = V015759. assign V492313 = V594943 + 1. assign V854398 = V805111 + 1. assign V164091 = V383690 - 1. assign V029036 = V469046 + 1. assign V469046 = V675257. assign V643313 = V595851 - 1. assign V708128 = V383690. assign V200241 = V164091. assign V626109 = V226982. assign V543338 = V400745 - 1. assign V670845 = V675257. assign V380539 = V744688 - 1. assign V810375 = V649818. assign V107486 = V901159 + 1. assign V813252 = V321691 + 1. assign V886557 = V492313 + 1. assign V146731 = V713158. assign V552602 = V321691 + 1. assign V185813 = V467068 - 1. assign V675257 = V146731 + 1. assign V975319 = V775639. assign V775639 = V713158 - 1. assign V209827 = V805111 - 1. assign V560658 = V185813. assign V371789 = V278742 - 1. assign V270284 = V602840 - 1. assign V614087 = V146731 - 1. assign V292298 = V675257. assign V475602 = V594943 - 1. assign V649818 = V321691 + 1. assign V413325 = V594943. assign V321691 = V713158 - 1. assign V809078 = V761311. assign V467068 = V321691 + 1. assign V744688 = V200241 + 1. assign V391782 = V209827 + 1. assign V595851 = V380539. assign V374355 = V413325 - 1. assign V939856 = V182586 - 1. assign V594943 = V270284 + 1. assign V113554 = V975319 - 1. assign V784394 = V649818 + 1. assign V461778 = V211211. assign V436444 = V190099 - 1. assign V041837 = V713158 - 1. assign V224086 = V146731 + 1. assign V974176 = V187540 + 1. assign V182586 = V713158 + 1. assign V954065 = V190099. assign V190099 = V744688. assign V383690 = V775639 + 1. assign V584277 = V475602 - 1. assign V951048 = V169682 - 1. assign V602840 = V675257 - 1. assign V627975 = V775639. assign V033797 = V278742 + 1. assign V729675 = V886557 + 1. assign V235242 = V386827 - 1. assign V169682 = V041837 - 1. assign V400745 = 4. assign V982987 = V675257. assign V977778 = V146731 - 1. assign V246917 = V713158 - 1. assign V936231 = V391782 - 1. assign V211211 = V552602. assign V911931 = V778616 + 1. assign V059051 = V467068 - 1. assign V278742 = V675257 - 1. assign V682984 = V744688. assign V015759 = V321691 + 1. assign V761311 = V675257. assign V226982 = V146731 + 1. assign V059337 = V461778 - 1. assign V875455 = V226982 + 1. assign V386827 = V552602 + 1. assign V160753 = V041837. assign V805111 = V649818 + 1. assign V187540 = V185813 - 1. assign V814493 = V182586 - 1. assign V538951 = V270284 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V901159 = V224086 - 1. assign V611414 = V775639 + 1. assign V463274 = V675257 - 1. assign V137399 = V729675 - 1. assign V778616 = V182586 + 1. assign V071564 = V015759. assign V492313 = V594943 + 1. assign V854398 = V805111 + 1. assign V164091 = V383690 - 1. assign V029036 = V469046 + 1. assign V469046 = V675257. assign V643313 = V595851 - 1. assign V708128 = V383690. assign V200241 = V164091. assign V626109 = V226982. assign V543338 = V400745 - 1. assign V670845 = V675257. assign V380539 = V744688 - 1. assign V810375 = V649818. assign V107486 = V901159 + 1. assign V813252 = V321691 + 1. assign V886557 = V492313 + 1. assign V146731 = V713158. assign V552602 = V321691 + 1. assign V185813 = V467068 - 1. assign V675257 = V146731 + 1. assign V975319 = V775639. assign V775639 = V713158 - 1. assign V209827 = V805111 - 1. assign V560658 = V185813. assign V371789 = V278742 - 1. assign V270284 = V602840 - 1. assign V614087 = V146731 - 1. assign V292298 = V675257. assign V475602 = V594943 - 1. assign V649818 = V321691 + 1. assign V413325 = V594943. assign V321691 = V713158 - 1. assign V809078 = V761311. assign V467068 = V321691 + 1. assign V744688 = V200241 + 1. assign V391782 = V209827 + 1. assign V595851 = V380539. assign V374355 = V413325 - 1. assign V939856 = V182586 - 1. assign V594943 = V270284 + 1. assign V113554 = V975319 - 1. assign V784394 = V649818 + 1. assign V461778 = V211211. assign V436444 = V190099 - 1. assign V041837 = V713158 - 1. assign V224086 = V146731 + 1. assign V974176 = V187540 + 1. assign V182586 = V713158 + 1. assign V954065 = V190099. assign V190099 = V744688. assign V383690 = V775639 + 1. assign V584277 = V475602 - 1. assign V951048 = V169682 - 1. assign V602840 = V675257 - 1. assign V627975 = V775639. assign V033797 = V278742 + 1. assign V729675 = V886557 + 1. assign V235242 = V386827 - 1. assign V169682 = V041837 - 1. assign V400745 = 4. assign V982987 = V675257. assign V977778 = V146731 - 1. assign V246917 = V713158 - 1. assign V936231 = V391782 - 1. assign V211211 = V552602. assign V911931 = V778616 + 1. assign V059051 = V467068 - 1. assign V278742 = V675257 - 1. assign V682984 = V744688. assign V015759 = V321691 + 1. assign V761311 = V675257. assign V226982 = V146731 + 1. assign V059337 = V461778 - 1. assign V875455 = V226982 + 1. assign V386827 = V552602 + 1. assign V160753 = V041837. assign V805111 = V649818 + 1. assign V187540 = V185813 - 1. assign V814493 = V182586 - 1. assign V538951 = V270284 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV400745 = 4;\n\nFrom these direct assignment(s), we have: \nV543338 = V400745 - 1 = 4 - 1 =3;\nNo other variables can be derived from V543338;\nNo other variables can be derived from V400745;\n\nNow we have done all the calculations. Derived variables are:\nV400745 = 4;\nV543338 = 3;\n\nNow we have finished this problem. ANSWER:\nV543338\n", "role": "assistant" } ]

[ "V767972" ]

[ { "content": "<context>\nassign V108396 = V817727 - 1. assign V662728 = V484674. assign V433941 = V473618. assign V277997 = V383247. assign V596174 = V090404. assign V407696 = V382098 + 1. assign V697662 = V912667. assign V090404 = V454790 + 1. assign V454790 = V715131. assign V735605 = V678774 - 1. assign V870137 = V473618. assign V546554 = V090404 + 1. assign V383247 = V485347. assign V285875 = V774631. assign V722877 = V595568. assign V241725 = V688417 - 1. assign V927487 = V383247 + 1. assign V147942 = V845174 - 1. assign V935338 = V774631. assign V269329 = V715131 + 1. assign V178954 = V844706 - 1. assign V263629 = V308819. assign V485347 = V715131 - 1. assign V761140 = V473618. assign V817727 = V715131 - 1. assign V157191 = V241725. assign V785231 = V447405 - 1. assign V595568 = V473618 + 1. assign V481767 = V289546 + 1. assign V308819 = V381634 - 1. assign V684798 = V870137. assign V106318 = V447405 + 1. assign V012294 = V912667. assign V289546 = V361391. assign V933970 = V407696 - 1. assign V361391 = V473618. assign V961315 = V912667. assign V488675 = V595568. assign V579668 = V678774 + 1. assign V194737 = V454790 - 1. assign V688417 = V596174 - 1. assign V715131 = V473618 - 1. assign V982735 = V935338 - 1. assign V386672 = V080489 - 1. assign V381634 = V064838. assign V128276 = V473618. assign V291581 = V433941 - 1. assign V767972 = V374944 + 1. assign V919784 = V817727 - 1. assign V515763 = V407696 - 1. assign V775287 = V057889. assign V520887 = V221184 + 1. assign V718226 = V383247 - 1. assign V272276 = V785231 + 1. assign V484674 = V697662 + 1. assign V844706 = V473618. assign V082724 = V935338 - 1. assign V196194 = V761140 - 1. assign V045303 = V935338. assign V468904 = V383247 + 1. assign V057889 = V715131. assign V547877 = V433941. assign V003701 = V774631. assign V774631 = V433941. assign V221184 = V485347 + 1. assign V382098 = V912667 - 1. assign V927668 = V407696 + 1. assign V447405 = V775287 + 1. assign V544092 = V870137 - 1. assign V845174 = V488675. assign V575561 = V485347 + 1. assign V652127 = V935338. assign V912667 = V817727. assign V254552 = V012294. assign V095908 = V454790 + 1. assign V527008 = V381634. assign V529867 = V817727. assign V342775 = V361391. assign V499858 = V546554 - 1. assign V064838 = V454790. assign V641230 = V761140 - 1. assign V374944 = 4. assign V105595 = V678774 - 1. assign V080489 = V057889 - 1. assign V324398 = V361391 + 1. assign V678774 = V715131 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V108396 = V817727 - 1. assign V662728 = V484674. assign V433941 = V473618. assign V277997 = V383247. assign V596174 = V090404. assign V407696 = V382098 + 1. assign V697662 = V912667. assign V090404 = V454790 + 1. assign V454790 = V715131. assign V735605 = V678774 - 1. assign V870137 = V473618. assign V546554 = V090404 + 1. assign V383247 = V485347. assign V285875 = V774631. assign V722877 = V595568. assign V241725 = V688417 - 1. assign V927487 = V383247 + 1. assign V147942 = V845174 - 1. assign V935338 = V774631. assign V269329 = V715131 + 1. assign V178954 = V844706 - 1. assign V263629 = V308819. assign V485347 = V715131 - 1. assign V761140 = V473618. assign V817727 = V715131 - 1. assign V157191 = V241725. assign V785231 = V447405 - 1. assign V595568 = V473618 + 1. assign V481767 = V289546 + 1. assign V308819 = V381634 - 1. assign V684798 = V870137. assign V106318 = V447405 + 1. assign V012294 = V912667. assign V289546 = V361391. assign V933970 = V407696 - 1. assign V361391 = V473618. assign V961315 = V912667. assign V488675 = V595568. assign V579668 = V678774 + 1. assign V194737 = V454790 - 1. assign V688417 = V596174 - 1. assign V715131 = V473618 - 1. assign V982735 = V935338 - 1. assign V386672 = V080489 - 1. assign V381634 = V064838. assign V128276 = V473618. assign V291581 = V433941 - 1. assign V767972 = V374944 + 1. assign V919784 = V817727 - 1. assign V515763 = V407696 - 1. assign V775287 = V057889. assign V520887 = V221184 + 1. assign V718226 = V383247 - 1. assign V272276 = V785231 + 1. assign V484674 = V697662 + 1. assign V844706 = V473618. assign V082724 = V935338 - 1. assign V196194 = V761140 - 1. assign V045303 = V935338. assign V468904 = V383247 + 1. assign V057889 = V715131. assign V547877 = V433941. assign V003701 = V774631. assign V774631 = V433941. assign V221184 = V485347 + 1. assign V382098 = V912667 - 1. assign V927668 = V407696 + 1. assign V447405 = V775287 + 1. assign V544092 = V870137 - 1. assign V845174 = V488675. assign V575561 = V485347 + 1. assign V652127 = V935338. assign V912667 = V817727. assign V254552 = V012294. assign V095908 = V454790 + 1. assign V527008 = V381634. assign V529867 = V817727. assign V342775 = V361391. assign V499858 = V546554 - 1. assign V064838 = V454790. assign V641230 = V761140 - 1. assign V374944 = 4. assign V105595 = V678774 - 1. assign V080489 = V057889 - 1. assign V324398 = V361391 + 1. assign V678774 = V715131 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV374944 = 4;\n\nFrom these direct assignment(s), we have: \nV767972 = V374944 + 1 = 4 + 1 =5;\nNo other variables can be derived from V767972;\nNo other variables can be derived from V374944;\n\nNow we have done all the calculations. Derived variables are:\nV374944 = 4;\nV767972 = 5;\n\nNow we have finished this problem. ANSWER:\nV767972\n", "role": "assistant" } ]

[ "V862922" ]

[ { "content": "<context>\nassign V191576 = V010694 - 1. assign V807832 = V267008 - 1. assign V187907 = V291316 - 1. assign V800404 = V862922 + 1. assign V862922 = 10. assign V571930 = V412481. assign V154328 = V267008 - 1. assign V762560 = V495985 - 1. assign V997745 = V356161. assign V707860 = V799150 + 1. assign V753235 = V267008 - 1. assign V758351 = V588689. assign V890224 = V097819 + 1. assign V929655 = V592872. assign V110576 = V142238 - 1. assign V069041 = V191576 - 1. assign V558241 = V981034. assign V397879 = V997745. assign V588689 = V981034. assign V617528 = V311998. assign V115057 = V010694 - 1. assign V356161 = V267008. assign V495985 = V821076. assign V493337 = V356161. assign V084016 = V267008 - 1. assign V442342 = V454965 - 1. assign V010694 = V356161 - 1. assign V336586 = V035244. assign V138430 = V097819 - 1. assign V818626 = V069041 + 1. assign V097819 = V977189 - 1. assign V208912 = V945665 + 1. assign V846212 = V035244. assign V561903 = V097819 - 1. assign V383214 = V997745 + 1. assign V362015 = V945665 + 1. assign V945665 = V267008 + 1. assign V508259 = V336586 + 1. assign V035244 = V208912. assign V142238 = V362015 - 1. assign V821076 = V454965. assign V273864 = V454965 + 1. assign V337299 = V362015 + 1. assign V600112 = V770484 - 1. assign V266105 = V184635 - 1. assign V854608 = V945665. assign V038119 = V454965. assign V654949 = V981034 - 1. assign V361552 = V945665. assign V085460 = V412481. assign V291316 = V154328. assign V950914 = V654949 - 1. assign V799150 = V154328 - 1. assign V191425 = V588689 - 1. assign V597231 = V997745 - 1. assign V065207 = V854608. assign V056056 = V495985 + 1. assign V540298 = V568714 + 1. assign V770484 = V645401 + 1. assign V856610 = V997745. assign V364355 = V412481 + 1. assign V609867 = V592872 - 1. assign V981034 = V945665 - 1. assign V718983 = V890224 - 1. assign V317258 = V154328. assign V403605 = V362015 + 1. assign V827330 = V138430. assign V184635 = V038119 - 1. assign V370606 = V707860 + 1. assign V187489 = V568714 - 1. assign V645401 = V654949. assign V977189 = V454965 + 1. assign V660034 = V267008 - 1. assign V454965 = V356161 + 1. assign V316421 = V035244. assign V592872 = V454965 - 1. assign V252927 = V609867 - 1. assign V457843 = V142238 - 1. assign V489452 = V362015 - 1. assign V813022 = V316421 - 1. assign V869210 = V945665 + 1. assign V568714 = V592872. assign V311998 = V945665 - 1. assign V412481 = V854608. assign V352595 = V945665 - 1. assign V713760 = V890224.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V191576 = V010694 - 1. assign V807832 = V267008 - 1. assign V187907 = V291316 - 1. assign V800404 = V862922 + 1. assign V862922 = 10. assign V571930 = V412481. assign V154328 = V267008 - 1. assign V762560 = V495985 - 1. assign V997745 = V356161. assign V707860 = V799150 + 1. assign V753235 = V267008 - 1. assign V758351 = V588689. assign V890224 = V097819 + 1. assign V929655 = V592872. assign V110576 = V142238 - 1. assign V069041 = V191576 - 1. assign V558241 = V981034. assign V397879 = V997745. assign V588689 = V981034. assign V617528 = V311998. assign V115057 = V010694 - 1. assign V356161 = V267008. assign V495985 = V821076. assign V493337 = V356161. assign V084016 = V267008 - 1. assign V442342 = V454965 - 1. assign V010694 = V356161 - 1. assign V336586 = V035244. assign V138430 = V097819 - 1. assign V818626 = V069041 + 1. assign V097819 = V977189 - 1. assign V208912 = V945665 + 1. assign V846212 = V035244. assign V561903 = V097819 - 1. assign V383214 = V997745 + 1. assign V362015 = V945665 + 1. assign V945665 = V267008 + 1. assign V508259 = V336586 + 1. assign V035244 = V208912. assign V142238 = V362015 - 1. assign V821076 = V454965. assign V273864 = V454965 + 1. assign V337299 = V362015 + 1. assign V600112 = V770484 - 1. assign V266105 = V184635 - 1. assign V854608 = V945665. assign V038119 = V454965. assign V654949 = V981034 - 1. assign V361552 = V945665. assign V085460 = V412481. assign V291316 = V154328. assign V950914 = V654949 - 1. assign V799150 = V154328 - 1. assign V191425 = V588689 - 1. assign V597231 = V997745 - 1. assign V065207 = V854608. assign V056056 = V495985 + 1. assign V540298 = V568714 + 1. assign V770484 = V645401 + 1. assign V856610 = V997745. assign V364355 = V412481 + 1. assign V609867 = V592872 - 1. assign V981034 = V945665 - 1. assign V718983 = V890224 - 1. assign V317258 = V154328. assign V403605 = V362015 + 1. assign V827330 = V138430. assign V184635 = V038119 - 1. assign V370606 = V707860 + 1. assign V187489 = V568714 - 1. assign V645401 = V654949. assign V977189 = V454965 + 1. assign V660034 = V267008 - 1. assign V454965 = V356161 + 1. assign V316421 = V035244. assign V592872 = V454965 - 1. assign V252927 = V609867 - 1. assign V457843 = V142238 - 1. assign V489452 = V362015 - 1. assign V813022 = V316421 - 1. assign V869210 = V945665 + 1. assign V568714 = V592872. assign V311998 = V945665 - 1. assign V412481 = V854608. assign V352595 = V945665 - 1. assign V713760 = V890224.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV862922 = 10;\n\nFrom these direct assignment(s), we have: \nV800404 = V862922 + 1 = 10 + 1 =11;\nNo other variables can be derived from V800404;\nNo other variables can be derived from V862922;\n\nNow we have done all the calculations. Derived variables are:\nV862922 = 10;\nV800404 = 11;\n\nNow we have finished this problem. ANSWER:\nV862922\n", "role": "assistant" } ]

[ "V066723" ]

[ { "content": "<context>\nassign V514775 = V541843. assign V066723 = 8. assign V412708 = V677025. assign V760489 = V082818 + 1. assign V773305 = V465282 + 1. assign V766253 = V223866 - 1. assign V330607 = V096229 - 1. assign V742506 = V854162 + 1. assign V053118 = V465282. assign V238097 = V867076 + 1. assign V871946 = V053118 - 1. assign V898497 = V609770 + 1. assign V606105 = V866534. assign V391694 = V609770. assign V957702 = V562061 - 1. assign V753143 = V279791 + 1. assign V477658 = V464436 + 1. assign V364060 = V742506 - 1. assign V791352 = V867076 - 1. assign V942121 = V038176. assign V096229 = V773305. assign V941749 = V304678 - 1. assign V464436 = V105958. assign V271363 = V773305. assign V598944 = V938505 - 1. assign V597552 = V413265. assign V677025 = V391694 - 1. assign V867076 = V105958 + 1. assign V458007 = V038176 + 1. assign V307836 = V866534 + 1. assign V779224 = V238097. assign V624667 = V473379 - 1. assign V279791 = V611006 - 1. assign V095548 = V473379 + 1. assign V856248 = V611006 - 1. assign V839986 = V795825 - 1. assign V402024 = V465282 - 1. assign V343474 = V562061. assign V038176 = V791352 + 1. assign V205254 = V129725 + 1. assign V802910 = V795825 - 1. assign V857179 = V739134 + 1. assign V546866 = V271363. assign V223866 = V839986. assign V938505 = V866534 + 1. assign V790913 = V095548. assign V413265 = V053118. assign V609770 = V011094 + 1. assign V306917 = V938505. assign V129725 = V011094 - 1. assign V993942 = V413265 + 1. assign V249761 = V196945. assign V854162 = V795825 - 1. assign V500209 = V609770 + 1. assign V106069 = V084582 - 1. assign V011094 = V105958. assign V726995 = V500209 - 1. assign V611006 = V791352. assign V866534 = V473379 + 1. assign V009664 = V624667 - 1. assign V473379 = V011094 + 1. assign V544294 = V458007 - 1. assign V333955 = V541843 + 1. assign V278541 = V279791 + 1. assign V196945 = V053118 - 1. assign V717566 = V306917 + 1. assign V566323 = V938505. assign V259942 = V773305. assign V465282 = V129725. assign V951214 = V941749 + 1. assign V314178 = V402024 + 1. assign V084582 = V854162 - 1. assign V617293 = V066723 - 1. assign V639892 = V105958. assign V795825 = V866534 + 1. assign V541843 = V038176. assign V502011 = V942121. assign V739134 = V791352. assign V239229 = V938505 - 1. assign V304678 = V606105. assign V827471 = V856248. assign V562061 = V402024 + 1. assign V691519 = V606105 + 1. assign V721993 = V791352 - 1. assign V836415 = V053118. assign V082818 = V106069.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V514775 = V541843. assign V066723 = 8. assign V412708 = V677025. assign V760489 = V082818 + 1. assign V773305 = V465282 + 1. assign V766253 = V223866 - 1. assign V330607 = V096229 - 1. assign V742506 = V854162 + 1. assign V053118 = V465282. assign V238097 = V867076 + 1. assign V871946 = V053118 - 1. assign V898497 = V609770 + 1. assign V606105 = V866534. assign V391694 = V609770. assign V957702 = V562061 - 1. assign V753143 = V279791 + 1. assign V477658 = V464436 + 1. assign V364060 = V742506 - 1. assign V791352 = V867076 - 1. assign V942121 = V038176. assign V096229 = V773305. assign V941749 = V304678 - 1. assign V464436 = V105958. assign V271363 = V773305. assign V598944 = V938505 - 1. assign V597552 = V413265. assign V677025 = V391694 - 1. assign V867076 = V105958 + 1. assign V458007 = V038176 + 1. assign V307836 = V866534 + 1. assign V779224 = V238097. assign V624667 = V473379 - 1. assign V279791 = V611006 - 1. assign V095548 = V473379 + 1. assign V856248 = V611006 - 1. assign V839986 = V795825 - 1. assign V402024 = V465282 - 1. assign V343474 = V562061. assign V038176 = V791352 + 1. assign V205254 = V129725 + 1. assign V802910 = V795825 - 1. assign V857179 = V739134 + 1. assign V546866 = V271363. assign V223866 = V839986. assign V938505 = V866534 + 1. assign V790913 = V095548. assign V413265 = V053118. assign V609770 = V011094 + 1. assign V306917 = V938505. assign V129725 = V011094 - 1. assign V993942 = V413265 + 1. assign V249761 = V196945. assign V854162 = V795825 - 1. assign V500209 = V609770 + 1. assign V106069 = V084582 - 1. assign V011094 = V105958. assign V726995 = V500209 - 1. assign V611006 = V791352. assign V866534 = V473379 + 1. assign V009664 = V624667 - 1. assign V473379 = V011094 + 1. assign V544294 = V458007 - 1. assign V333955 = V541843 + 1. assign V278541 = V279791 + 1. assign V196945 = V053118 - 1. assign V717566 = V306917 + 1. assign V566323 = V938505. assign V259942 = V773305. assign V465282 = V129725. assign V951214 = V941749 + 1. assign V314178 = V402024 + 1. assign V084582 = V854162 - 1. assign V617293 = V066723 - 1. assign V639892 = V105958. assign V795825 = V866534 + 1. assign V541843 = V038176. assign V502011 = V942121. assign V739134 = V791352. assign V239229 = V938505 - 1. assign V304678 = V606105. assign V827471 = V856248. assign V562061 = V402024 + 1. assign V691519 = V606105 + 1. assign V721993 = V791352 - 1. assign V836415 = V053118. assign V082818 = V106069.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV066723 = 8;\n\nFrom these direct assignment(s), we have: \nV617293 = V066723 - 1 = 8 - 1 =7;\nNo other variables can be derived from V617293;\nNo other variables can be derived from V066723;\n\nNow we have done all the calculations. Derived variables are:\nV066723 = 8;\nV617293 = 7;\n\nNow we have finished this problem. ANSWER:\nV066723\n", "role": "assistant" } ]

[ "V426852" ]

[ { "content": "<context>\nassign V192386 = V530436 + 1. assign V621177 = V768931 - 1. assign V683578 = V844876 - 1. assign V192905 = V704064 - 1. assign V857510 = V704064 - 1. assign V346093 = V611911. assign V449881 = V801191 - 1. assign V951816 = V579337. assign V034430 = V579337 - 1. assign V838948 = V064832. assign V439960 = V606647 + 1. assign V200987 = V078153. assign V180524 = V867930 + 1. assign V872613 = V754839. assign V728189 = V261314 + 1. assign V361880 = V356662. assign V875967 = V064832 - 1. assign V972306 = V621177 + 1. assign V696323 = V683578 + 1. assign V069569 = V754839 - 1. assign V440455 = V049603 + 1. assign V480606 = V097369 - 1. assign V768931 = V097369 + 1. assign V426852 = 0. assign V687052 = V426852 - 1. assign V266091 = V194718 - 1. assign V450345 = V728189 - 1. assign V065366 = V450345. assign V704064 = V768931 - 1. assign V184304 = V737434. assign V996916 = V867930 + 1. assign V605212 = V461743. assign V801191 = V579337 - 1. assign V646190 = V754839 + 1. assign V905015 = V754839 - 1. assign V606647 = V097369. assign V049603 = V801191 + 1. assign V898890 = V754839. assign V666149 = V611911 - 1. assign V767351 = V439960 - 1. assign V049159 = V801191. assign V412145 = V449881 + 1. assign V483943 = V754839 + 1. assign V679935 = V313580. assign V149092 = V905015. assign V266413 = V754839 + 1. assign V506786 = V480606. assign V356662 = V754839 - 1. assign V737434 = V704064. assign V579337 = V911108. assign V898860 = V459190 + 1. assign V360390 = V838948. assign V064832 = V065366 - 1. assign V455077 = V459190 - 1. assign V474753 = V646190 + 1. assign V678235 = V069569 - 1. assign V263105 = V768931. assign V424955 = V728189 - 1. assign V942614 = V852113 - 1. assign V631144 = V203281 + 1. assign V867930 = V461743. assign V911108 = V097369 - 1. assign V192136 = V838948 + 1. assign V313580 = V606647 + 1. assign V078966 = V844876 - 1. assign V653296 = V579337 + 1. assign V278071 = V728189 - 1. assign V036131 = V461743. assign V754839 = V034430 + 1. assign V611911 = V768931 - 1. assign V452929 = V412145 - 1. assign V306076 = V412145 + 1. assign V261314 = V911108. assign V423616 = V606647 - 1. assign V203281 = V313580 + 1. assign V056314 = V180524. assign V015879 = V704064. assign V078153 = V461743 - 1. assign V459190 = V036131 + 1. assign V852113 = V097369 + 1. assign V021837 = V972306 + 1. assign V194718 = V942614. assign V530436 = V034430. assign V153535 = V621177 - 1. assign V461743 = V450345 + 1. assign V844876 = V728189 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V192386 = V530436 + 1. assign V621177 = V768931 - 1. assign V683578 = V844876 - 1. assign V192905 = V704064 - 1. assign V857510 = V704064 - 1. assign V346093 = V611911. assign V449881 = V801191 - 1. assign V951816 = V579337. assign V034430 = V579337 - 1. assign V838948 = V064832. assign V439960 = V606647 + 1. assign V200987 = V078153. assign V180524 = V867930 + 1. assign V872613 = V754839. assign V728189 = V261314 + 1. assign V361880 = V356662. assign V875967 = V064832 - 1. assign V972306 = V621177 + 1. assign V696323 = V683578 + 1. assign V069569 = V754839 - 1. assign V440455 = V049603 + 1. assign V480606 = V097369 - 1. assign V768931 = V097369 + 1. assign V426852 = 0. assign V687052 = V426852 - 1. assign V266091 = V194718 - 1. assign V450345 = V728189 - 1. assign V065366 = V450345. assign V704064 = V768931 - 1. assign V184304 = V737434. assign V996916 = V867930 + 1. assign V605212 = V461743. assign V801191 = V579337 - 1. assign V646190 = V754839 + 1. assign V905015 = V754839 - 1. assign V606647 = V097369. assign V049603 = V801191 + 1. assign V898890 = V754839. assign V666149 = V611911 - 1. assign V767351 = V439960 - 1. assign V049159 = V801191. assign V412145 = V449881 + 1. assign V483943 = V754839 + 1. assign V679935 = V313580. assign V149092 = V905015. assign V266413 = V754839 + 1. assign V506786 = V480606. assign V356662 = V754839 - 1. assign V737434 = V704064. assign V579337 = V911108. assign V898860 = V459190 + 1. assign V360390 = V838948. assign V064832 = V065366 - 1. assign V455077 = V459190 - 1. assign V474753 = V646190 + 1. assign V678235 = V069569 - 1. assign V263105 = V768931. assign V424955 = V728189 - 1. assign V942614 = V852113 - 1. assign V631144 = V203281 + 1. assign V867930 = V461743. assign V911108 = V097369 - 1. assign V192136 = V838948 + 1. assign V313580 = V606647 + 1. assign V078966 = V844876 - 1. assign V653296 = V579337 + 1. assign V278071 = V728189 - 1. assign V036131 = V461743. assign V754839 = V034430 + 1. assign V611911 = V768931 - 1. assign V452929 = V412145 - 1. assign V306076 = V412145 + 1. assign V261314 = V911108. assign V423616 = V606647 - 1. assign V203281 = V313580 + 1. assign V056314 = V180524. assign V015879 = V704064. assign V078153 = V461743 - 1. assign V459190 = V036131 + 1. assign V852113 = V097369 + 1. assign V021837 = V972306 + 1. assign V194718 = V942614. assign V530436 = V034430. assign V153535 = V621177 - 1. assign V461743 = V450345 + 1. assign V844876 = V728189 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV426852 = 0;\n\nFrom these direct assignment(s), we have: \nV687052 = V426852 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V687052;\nNo other variables can be derived from V426852;\n\nNow we have done all the calculations. Derived variables are:\nV426852 = 0;\nV687052 = -1;\n\nNow we have finished this problem. ANSWER:\nV426852\n", "role": "assistant" } ]

[ "V909827", "V802076" ]

[ { "content": "<context>\nassign V223375 = V023632 + 1. assign V673399 = V051101 - 1. assign V408101 = V010359 - 1. assign V278388 = V106131 - 1. assign V629443 = V878756. assign V924976 = V730787 + 1. assign V186233 = V438599. assign V983436 = V066852 + 1. assign V856170 = V394628. assign V137532 = V659481 - 1. assign V582481 = V856170 - 1. assign V723792 = V051101 - 1. assign V203839 = V768747. assign V859466 = V624833. assign V023632 = V985519 + 1. assign V394628 = V637789. assign V624833 = V929483 + 1. assign V189556 = V034465 - 1. assign V773437 = V663888 + 1. assign V048641 = V659481. assign V010359 = V406591. assign V471436 = V106131. assign V477545 = V265521 - 1. assign V730324 = V550780 + 1. assign V581914 = V070808 - 1. assign V671313 = V563654. assign V878756 = V985519. assign V663888 = V477545. assign V058740 = V438599 - 1. assign V962823 = V550780. assign V914497 = V051101. assign V540041 = V438599. assign V574357 = V223375 + 1. assign V289470 = V723792. assign V292452 = V482202 + 1. assign V725155 = V659481 + 1. assign V615107 = V065290. assign V406591 = V438599. assign V802076 = V909827. assign V438599 = V265521 + 1. assign V730787 = V723792 - 1. assign V954626 = V123950. assign V271867 = V629443 - 1. assign V106131 = V780954 - 1. assign V065290 = V730324. assign V611199 = V220634 + 1. assign V979997 = V574357. assign V051101 = V265521. assign V878771 = V438599 + 1. assign V550780 = V629443 + 1. assign V929483 = V985519 - 1. assign V318108 = V254223. assign V303823 = V137532 + 1. assign V123950 = V962823 + 1. assign V780954 = V929483. assign V156404 = V394628. assign V220634 = V265521. assign V034465 = V066852 - 1. assign V161610 = V924976 + 1. assign V024122 = V730324 - 1. assign V644008 = V914497. assign V066852 = V406591 - 1. assign V254223 = V023632 + 1. assign V239390 = V747820 + 1. assign V391189 = V730787 + 1. assign V807853 = V550780 - 1. assign V396749 = V638714 + 1. assign V388250 = V106131 + 1. assign V638714 = V730787 + 1. assign V664472 = V271867 + 1. assign V747423 = V807853 + 1. assign V747820 = V408101 - 1. assign V116036 = V914497 + 1. assign V637789 = V985519. assign V482202 = V477545. assign V768747 = V929483 - 1. assign V243967 = V929483 + 1. assign V288485 = V730324 - 1. assign V129902 = V288485. assign V909827 = 5. assign V655743 = V137532 - 1. assign V070808 = V723792 - 1. assign V659481 = V723792 + 1. assign V265521 = V985519 + 1. assign V379507 = V723792 + 1. assign V563654 = V065290 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V223375 = V023632 + 1. assign V673399 = V051101 - 1. assign V408101 = V010359 - 1. assign V278388 = V106131 - 1. assign V629443 = V878756. assign V924976 = V730787 + 1. assign V186233 = V438599. assign V983436 = V066852 + 1. assign V856170 = V394628. assign V137532 = V659481 - 1. assign V582481 = V856170 - 1. assign V723792 = V051101 - 1. assign V203839 = V768747. assign V859466 = V624833. assign V023632 = V985519 + 1. assign V394628 = V637789. assign V624833 = V929483 + 1. assign V189556 = V034465 - 1. assign V773437 = V663888 + 1. assign V048641 = V659481. assign V010359 = V406591. assign V471436 = V106131. assign V477545 = V265521 - 1. assign V730324 = V550780 + 1. assign V581914 = V070808 - 1. assign V671313 = V563654. assign V878756 = V985519. assign V663888 = V477545. assign V058740 = V438599 - 1. assign V962823 = V550780. assign V914497 = V051101. assign V540041 = V438599. assign V574357 = V223375 + 1. assign V289470 = V723792. assign V292452 = V482202 + 1. assign V725155 = V659481 + 1. assign V615107 = V065290. assign V406591 = V438599. assign V802076 = V909827. assign V438599 = V265521 + 1. assign V730787 = V723792 - 1. assign V954626 = V123950. assign V271867 = V629443 - 1. assign V106131 = V780954 - 1. assign V065290 = V730324. assign V611199 = V220634 + 1. assign V979997 = V574357. assign V051101 = V265521. assign V878771 = V438599 + 1. assign V550780 = V629443 + 1. assign V929483 = V985519 - 1. assign V318108 = V254223. assign V303823 = V137532 + 1. assign V123950 = V962823 + 1. assign V780954 = V929483. assign V156404 = V394628. assign V220634 = V265521. assign V034465 = V066852 - 1. assign V161610 = V924976 + 1. assign V024122 = V730324 - 1. assign V644008 = V914497. assign V066852 = V406591 - 1. assign V254223 = V023632 + 1. assign V239390 = V747820 + 1. assign V391189 = V730787 + 1. assign V807853 = V550780 - 1. assign V396749 = V638714 + 1. assign V388250 = V106131 + 1. assign V638714 = V730787 + 1. assign V664472 = V271867 + 1. assign V747423 = V807853 + 1. assign V747820 = V408101 - 1. assign V116036 = V914497 + 1. assign V637789 = V985519. assign V482202 = V477545. assign V768747 = V929483 - 1. assign V243967 = V929483 + 1. assign V288485 = V730324 - 1. assign V129902 = V288485. assign V909827 = 5. assign V655743 = V137532 - 1. assign V070808 = V723792 - 1. assign V659481 = V723792 + 1. assign V265521 = V985519 + 1. assign V379507 = V723792 + 1. assign V563654 = V065290 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV909827 = 5;\n\nFrom these direct assignment(s), we have: \nV802076 = V909827 = 5;\nNo other variables can be derived from V802076;\nNo other variables can be derived from V909827;\n\nNow we have done all the calculations. Derived variables are:\nV909827 = 5;\nV802076 = 5;\n\nNow we have finished this problem. ANSWER:\nV909827, V802076\n", "role": "assistant" } ]

[ "V470930", "V505839" ]

[ { "content": "<context>\nassign V359493 = V262882 + 1. assign V603782 = V158643 - 1. assign V848432 = V699545. assign V872150 = V613406 + 1. assign V387937 = V718362 + 1. assign V654044 = V849304. assign V367309 = V238479. assign V515823 = V031099 + 1. assign V017057 = V634716 + 1. assign V123845 = V329853 - 1. assign V525612 = V238479 + 1. assign V522001 = V996124. assign V681528 = V102383 + 1. assign V849304 = V366217. assign V158643 = V366217 - 1. assign V238479 = V849304 + 1. assign V262882 = V238479 + 1. assign V028068 = V416805 - 1. assign V927029 = V366217 - 1. assign V364957 = V565119 + 1. assign V266524 = V532053 - 1. assign V923535 = V378225 - 1. assign V102383 = V655580 + 1. assign V266768 = V613406 + 1. assign V655375 = V872150 - 1. assign V461947 = V003803 - 1. assign V013567 = V262882. assign V517247 = V663321 - 1. assign V371203 = V366217 + 1. assign V711437 = V923535 + 1. assign V655580 = V613406. assign V149282 = V454460. assign V933393 = V565119 - 1. assign V755836 = V378225 + 1. assign V708516 = V870138 + 1. assign V319010 = V755836 - 1. assign V707125 = V376625 - 1. assign V768264 = V359493 + 1. assign V634716 = V849304 + 1. assign V670033 = V031099 + 1. assign V505701 = V031099. assign V329853 = V238479. assign V075154 = V387937 - 1. assign V715182 = V013567 - 1. assign V716678 = V389581 - 1. assign V729788 = V699545 - 1. assign V718362 = V013567 - 1. assign V511584 = V367309 - 1. assign V565119 = V003803 + 1. assign V870138 = V525612. assign V765130 = V031099. assign V736212 = V923535. assign V470930 = 7. assign V821399 = V238014 + 1. assign V413213 = V620792. assign V007477 = V013567. assign V095124 = V003803 - 1. assign V699545 = V525612 + 1. assign V432717 = V102383 - 1. assign V029772 = V729788. assign V376625 = V003803 - 1. assign V881083 = V096141. assign V881496 = V378225 - 1. assign V003803 = V366217 - 1. assign V996124 = V371203 - 1. assign V031099 = V003803 - 1. assign V454460 = V565119. assign V331508 = V413213 - 1. assign V505839 = V470930. assign V405670 = V870138 + 1. assign V096141 = V708516 - 1. assign V047396 = V238014 - 1. assign V296305 = V123845. assign V545275 = V654044 - 1. assign V389581 = V367309 + 1. assign V513921 = V718362 - 1. assign V819292 = V238479 + 1. assign V613406 = V158643 + 1. assign V378225 = V545275 + 1. assign V601372 = V461947 - 1. assign V620792 = V715182 - 1. assign V532053 = V075154. assign V281621 = V715182 - 1. assign V238014 = V923535. assign V416805 = V366217 + 1. assign V663321 = V848432 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V359493 = V262882 + 1. assign V603782 = V158643 - 1. assign V848432 = V699545. assign V872150 = V613406 + 1. assign V387937 = V718362 + 1. assign V654044 = V849304. assign V367309 = V238479. assign V515823 = V031099 + 1. assign V017057 = V634716 + 1. assign V123845 = V329853 - 1. assign V525612 = V238479 + 1. assign V522001 = V996124. assign V681528 = V102383 + 1. assign V849304 = V366217. assign V158643 = V366217 - 1. assign V238479 = V849304 + 1. assign V262882 = V238479 + 1. assign V028068 = V416805 - 1. assign V927029 = V366217 - 1. assign V364957 = V565119 + 1. assign V266524 = V532053 - 1. assign V923535 = V378225 - 1. assign V102383 = V655580 + 1. assign V266768 = V613406 + 1. assign V655375 = V872150 - 1. assign V461947 = V003803 - 1. assign V013567 = V262882. assign V517247 = V663321 - 1. assign V371203 = V366217 + 1. assign V711437 = V923535 + 1. assign V655580 = V613406. assign V149282 = V454460. assign V933393 = V565119 - 1. assign V755836 = V378225 + 1. assign V708516 = V870138 + 1. assign V319010 = V755836 - 1. assign V707125 = V376625 - 1. assign V768264 = V359493 + 1. assign V634716 = V849304 + 1. assign V670033 = V031099 + 1. assign V505701 = V031099. assign V329853 = V238479. assign V075154 = V387937 - 1. assign V715182 = V013567 - 1. assign V716678 = V389581 - 1. assign V729788 = V699545 - 1. assign V718362 = V013567 - 1. assign V511584 = V367309 - 1. assign V565119 = V003803 + 1. assign V870138 = V525612. assign V765130 = V031099. assign V736212 = V923535. assign V470930 = 7. assign V821399 = V238014 + 1. assign V413213 = V620792. assign V007477 = V013567. assign V095124 = V003803 - 1. assign V699545 = V525612 + 1. assign V432717 = V102383 - 1. assign V029772 = V729788. assign V376625 = V003803 - 1. assign V881083 = V096141. assign V881496 = V378225 - 1. assign V003803 = V366217 - 1. assign V996124 = V371203 - 1. assign V031099 = V003803 - 1. assign V454460 = V565119. assign V331508 = V413213 - 1. assign V505839 = V470930. assign V405670 = V870138 + 1. assign V096141 = V708516 - 1. assign V047396 = V238014 - 1. assign V296305 = V123845. assign V545275 = V654044 - 1. assign V389581 = V367309 + 1. assign V513921 = V718362 - 1. assign V819292 = V238479 + 1. assign V613406 = V158643 + 1. assign V378225 = V545275 + 1. assign V601372 = V461947 - 1. assign V620792 = V715182 - 1. assign V532053 = V075154. assign V281621 = V715182 - 1. assign V238014 = V923535. assign V416805 = V366217 + 1. assign V663321 = V848432 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV470930 = 7;\n\nFrom these direct assignment(s), we have: \nV505839 = V470930 = 7;\nNo other variables can be derived from V505839;\nNo other variables can be derived from V470930;\n\nNow we have done all the calculations. Derived variables are:\nV470930 = 7;\nV505839 = 7;\n\nNow we have finished this problem. ANSWER:\nV470930, V505839\n", "role": "assistant" } ]

[ "V764005", "V883190" ]

[ { "content": "<context>\nassign V563457 = V076948 - 1. assign V482955 = V785661. assign V936116 = V482557 + 1. assign V637907 = V958942 + 1. assign V092067 = V476388. assign V404261 = V770371. assign V897456 = V958942. assign V246002 = V785661 - 1. assign V074300 = V476388 + 1. assign V169837 = V076948 + 1. assign V121848 = V476388 - 1. assign V958942 = V177308 - 1. assign V812421 = V482557 - 1. assign V484896 = V482557 + 1. assign V188719 = V728259 - 1. assign V367914 = V076948. assign V728259 = V367914. assign V345008 = V581302. assign V712916 = V062950. assign V300940 = V177308 + 1. assign V482557 = V626269. assign V356156 = V105051 + 1. assign V237922 = V936116 - 1. assign V928613 = V498032. assign V292211 = V062950 + 1. assign V462028 = V812421 + 1. assign V655444 = V581302. assign V412055 = V568257 - 1. assign V626269 = V917255. assign V477908 = V440943 - 1. assign V176152 = V766983 - 1. assign V373515 = V563457. assign V853903 = V626269 + 1. assign V581302 = V917255. assign V941891 = V356156. assign V044845 = V964844 + 1. assign V498032 = V367914 - 1. assign V034917 = V812421 + 1. assign V892425 = V484896. assign V238072 = V152275 + 1. assign V883190 = V764005. assign V070934 = V498032 - 1. assign V358431 = V412055. assign V061591 = V121848. assign V076948 = V177308. assign V152275 = V626269 - 1. assign V764005 = 10. assign V785661 = V177308 - 1. assign V476388 = V177308. assign V964844 = V973778 - 1. assign V690408 = V324953 + 1. assign V002677 = V462028 - 1. assign V062950 = V791622 + 1. assign V531689 = V479615 - 1. assign V479615 = V482557 - 1. assign V138818 = V892425 + 1. assign V395000 = V152275 + 1. assign V009489 = V853903 + 1. assign V359595 = V918928 - 1. assign V546993 = V928613 - 1. assign V772624 = V169837 - 1. assign V462831 = V076948. assign V389479 = V105051 + 1. assign V348219 = V958942. assign V918928 = V637907 + 1. assign V008551 = V462028. assign V568257 = V482557. assign V177308 = V917255 + 1. assign V105051 = V440943 + 1. assign V973778 = V462028 - 1. assign V991551 = V238072. assign V324953 = V002677 + 1. assign V791622 = V917255 - 1. assign V473732 = V188719 - 1. assign V766983 = V892425 - 1. assign V629237 = V367914 + 1. assign V440943 = V812421. assign V770371 = V008551 + 1. assign V945883 = V928613 - 1. assign V765615 = V238072. assign V413451 = V440943 - 1. assign V003257 = V637907 + 1. assign V262504 = V964844 - 1. assign V613915 = V462831 + 1. assign V426854 = V324953 - 1. assign V208870 = V169837 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V563457 = V076948 - 1. assign V482955 = V785661. assign V936116 = V482557 + 1. assign V637907 = V958942 + 1. assign V092067 = V476388. assign V404261 = V770371. assign V897456 = V958942. assign V246002 = V785661 - 1. assign V074300 = V476388 + 1. assign V169837 = V076948 + 1. assign V121848 = V476388 - 1. assign V958942 = V177308 - 1. assign V812421 = V482557 - 1. assign V484896 = V482557 + 1. assign V188719 = V728259 - 1. assign V367914 = V076948. assign V728259 = V367914. assign V345008 = V581302. assign V712916 = V062950. assign V300940 = V177308 + 1. assign V482557 = V626269. assign V356156 = V105051 + 1. assign V237922 = V936116 - 1. assign V928613 = V498032. assign V292211 = V062950 + 1. assign V462028 = V812421 + 1. assign V655444 = V581302. assign V412055 = V568257 - 1. assign V626269 = V917255. assign V477908 = V440943 - 1. assign V176152 = V766983 - 1. assign V373515 = V563457. assign V853903 = V626269 + 1. assign V581302 = V917255. assign V941891 = V356156. assign V044845 = V964844 + 1. assign V498032 = V367914 - 1. assign V034917 = V812421 + 1. assign V892425 = V484896. assign V238072 = V152275 + 1. assign V883190 = V764005. assign V070934 = V498032 - 1. assign V358431 = V412055. assign V061591 = V121848. assign V076948 = V177308. assign V152275 = V626269 - 1. assign V764005 = 10. assign V785661 = V177308 - 1. assign V476388 = V177308. assign V964844 = V973778 - 1. assign V690408 = V324953 + 1. assign V002677 = V462028 - 1. assign V062950 = V791622 + 1. assign V531689 = V479615 - 1. assign V479615 = V482557 - 1. assign V138818 = V892425 + 1. assign V395000 = V152275 + 1. assign V009489 = V853903 + 1. assign V359595 = V918928 - 1. assign V546993 = V928613 - 1. assign V772624 = V169837 - 1. assign V462831 = V076948. assign V389479 = V105051 + 1. assign V348219 = V958942. assign V918928 = V637907 + 1. assign V008551 = V462028. assign V568257 = V482557. assign V177308 = V917255 + 1. assign V105051 = V440943 + 1. assign V973778 = V462028 - 1. assign V991551 = V238072. assign V324953 = V002677 + 1. assign V791622 = V917255 - 1. assign V473732 = V188719 - 1. assign V766983 = V892425 - 1. assign V629237 = V367914 + 1. assign V440943 = V812421. assign V770371 = V008551 + 1. assign V945883 = V928613 - 1. assign V765615 = V238072. assign V413451 = V440943 - 1. assign V003257 = V637907 + 1. assign V262504 = V964844 - 1. assign V613915 = V462831 + 1. assign V426854 = V324953 - 1. assign V208870 = V169837 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV764005 = 10;\n\nFrom these direct assignment(s), we have: \nV883190 = V764005 = 10;\nNo other variables can be derived from V883190;\nNo other variables can be derived from V764005;\n\nNow we have done all the calculations. Derived variables are:\nV764005 = 10;\nV883190 = 10;\n\nNow we have finished this problem. ANSWER:\nV764005, V883190\n", "role": "assistant" } ]

[ "V288842" ]

[ { "content": "<context>\nassign V489969 = V690539. assign V937261 = V633790 - 1. assign V321655 = V164023 - 1. assign V242586 = V962008. assign V073005 = V242586 - 1. assign V907107 = V242586. assign V157620 = V802736. assign V575948 = V641219 + 1. assign V795335 = V641219 + 1. assign V063889 = V819103. assign V641219 = V215570 + 1. assign V352658 = V888564 - 1. assign V892859 = 5. assign V659245 = V690539. assign V669351 = V641219 - 1. assign V888564 = V318954. assign V540476 = V242586 + 1. assign V692494 = V318954 + 1. assign V761092 = V669351. assign V819103 = V575948 - 1. assign V696253 = V940427. assign V696176 = V937261. assign V669419 = V164023. assign V341394 = V649243 + 1. assign V649243 = V180303 + 1. assign V190152 = V888564 + 1. assign V974701 = V164023 - 1. assign V083131 = V540476 - 1. assign V409044 = V888564. assign V834941 = V079945 - 1. assign V662310 = V180303 - 1. assign V290815 = V318954 + 1. assign V002213 = V890599 - 1. assign V690539 = V276423 + 1. assign V276423 = V079945 + 1. assign V796363 = V540476 - 1. assign V335319 = V578933 + 1. assign V584584 = V580425. assign V387750 = V002213. assign V981834 = V063889. assign V280551 = V180303 - 1. assign V962008 = V170534. assign V848253 = V170534 + 1. assign V912176 = V243216 + 1. assign V751773 = V669419. assign V814096 = V918799 - 1. assign V581909 = V962008. assign V597619 = V800808. assign V288842 = V892859 - 1. assign V578933 = V800808. assign V568313 = V761092 + 1. assign V587330 = V974701 + 1. assign V078662 = V164023 + 1. assign V890599 = V164023. assign V297234 = V912176. assign V411260 = V242586 - 1. assign V357912 = V002213 + 1. assign V896841 = V890599 - 1. assign V633790 = V888564. assign V816813 = V079945 + 1. assign V265577 = V962008 + 1. assign V795004 = V633790 - 1. assign V215570 = V387750 - 1. assign V580425 = V083131. assign V080383 = V079945 - 1. assign V737704 = V215570 + 1. assign V180303 = V669419 - 1. assign V384997 = V912176 + 1. assign V802736 = V280551 + 1. assign V559193 = V083131 - 1. assign V800808 = V888564. assign V114626 = V164023. assign V123913 = V692494. assign V318954 = V180303 + 1. assign V451192 = V387750 - 1. assign V249750 = V834941 + 1. assign V068319 = V081446 + 1. assign V243216 = V974701 + 1. assign V940427 = V242586. assign V170534 = V002213 + 1. assign V079945 = V164023 - 1. assign V918799 = V962008 + 1. assign V081446 = V912176 - 1. assign V187079 = V649243 + 1. assign V279601 = V073005 + 1. assign V079476 = V081446.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V489969 = V690539. assign V937261 = V633790 - 1. assign V321655 = V164023 - 1. assign V242586 = V962008. assign V073005 = V242586 - 1. assign V907107 = V242586. assign V157620 = V802736. assign V575948 = V641219 + 1. assign V795335 = V641219 + 1. assign V063889 = V819103. assign V641219 = V215570 + 1. assign V352658 = V888564 - 1. assign V892859 = 5. assign V659245 = V690539. assign V669351 = V641219 - 1. assign V888564 = V318954. assign V540476 = V242586 + 1. assign V692494 = V318954 + 1. assign V761092 = V669351. assign V819103 = V575948 - 1. assign V696253 = V940427. assign V696176 = V937261. assign V669419 = V164023. assign V341394 = V649243 + 1. assign V649243 = V180303 + 1. assign V190152 = V888564 + 1. assign V974701 = V164023 - 1. assign V083131 = V540476 - 1. assign V409044 = V888564. assign V834941 = V079945 - 1. assign V662310 = V180303 - 1. assign V290815 = V318954 + 1. assign V002213 = V890599 - 1. assign V690539 = V276423 + 1. assign V276423 = V079945 + 1. assign V796363 = V540476 - 1. assign V335319 = V578933 + 1. assign V584584 = V580425. assign V387750 = V002213. assign V981834 = V063889. assign V280551 = V180303 - 1. assign V962008 = V170534. assign V848253 = V170534 + 1. assign V912176 = V243216 + 1. assign V751773 = V669419. assign V814096 = V918799 - 1. assign V581909 = V962008. assign V597619 = V800808. assign V288842 = V892859 - 1. assign V578933 = V800808. assign V568313 = V761092 + 1. assign V587330 = V974701 + 1. assign V078662 = V164023 + 1. assign V890599 = V164023. assign V297234 = V912176. assign V411260 = V242586 - 1. assign V357912 = V002213 + 1. assign V896841 = V890599 - 1. assign V633790 = V888564. assign V816813 = V079945 + 1. assign V265577 = V962008 + 1. assign V795004 = V633790 - 1. assign V215570 = V387750 - 1. assign V580425 = V083131. assign V080383 = V079945 - 1. assign V737704 = V215570 + 1. assign V180303 = V669419 - 1. assign V384997 = V912176 + 1. assign V802736 = V280551 + 1. assign V559193 = V083131 - 1. assign V800808 = V888564. assign V114626 = V164023. assign V123913 = V692494. assign V318954 = V180303 + 1. assign V451192 = V387750 - 1. assign V249750 = V834941 + 1. assign V068319 = V081446 + 1. assign V243216 = V974701 + 1. assign V940427 = V242586. assign V170534 = V002213 + 1. assign V079945 = V164023 - 1. assign V918799 = V962008 + 1. assign V081446 = V912176 - 1. assign V187079 = V649243 + 1. assign V279601 = V073005 + 1. assign V079476 = V081446.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV892859 = 5;\n\nFrom these direct assignment(s), we have: \nV288842 = V892859 - 1 = 5 - 1 =4;\nNo other variables can be derived from V288842;\nNo other variables can be derived from V892859;\n\nNow we have done all the calculations. Derived variables are:\nV892859 = 5;\nV288842 = 4;\n\nNow we have finished this problem. ANSWER:\nV288842\n", "role": "assistant" } ]

[ "V055032", "V090880" ]

[ { "content": "<context>\nassign V700810 = V124792. assign V849702 = V625253. assign V975230 = V329804. assign V595407 = V552217 + 1. assign V077328 = V775542 - 1. assign V055032 = 9. assign V185157 = V451011 - 1. assign V435829 = V875570 + 1. assign V451011 = V366563 + 1. assign V366563 = V581289 - 1. assign V986219 = V808955. assign V073821 = V817984 - 1. assign V625508 = V491008. assign V377811 = V300936 + 1. assign V631756 = V073821. assign V239186 = V416852 + 1. assign V057509 = V586649 + 1. assign V734238 = V904035 - 1. assign V512441 = V586649 - 1. assign V205523 = V057509. assign V807206 = V625508 - 1. assign V421614 = V934141 + 1. assign V313728 = V088713 - 1. assign V416852 = V818039 + 1. assign V983529 = V073821. assign V859835 = V765590. assign V597566 = V598312. assign V859636 = V875570 + 1. assign V229421 = V421614. assign V602790 = V329804. assign V625253 = V873068 + 1. assign V538838 = V552217. assign V837659 = V091308. assign V836238 = V588132 - 1. assign V819754 = V849702. assign V822191 = V491008 + 1. assign V775542 = V765590. assign V867869 = V828737 + 1. assign V716764 = V304296 + 1. assign V437536 = V229421 + 1. assign V124792 = V302548. assign V670963 = V934141 + 1. assign V921497 = V229421 - 1. assign V504451 = V581289. assign V255501 = V859636. assign V597662 = V538838. assign V647279 = V435829. assign V552217 = V875570. assign V904035 = V421614. assign V639074 = V983529 - 1. assign V251719 = V942508 - 1. assign V533044 = V808955. assign V765590 = V625253. assign V486843 = V581883 + 1. assign V422332 = V765590 - 1. assign V090880 = V055032. assign V581289 = V418271. assign V995293 = V366563 - 1. assign V302548 = V491008. assign V503751 = V921497 + 1. assign V588132 = V302548. assign V440241 = V819754 + 1. assign V853274 = V552217. assign V586649 = V849702. assign V304296 = V091308 - 1. assign V942508 = V873068 + 1. assign V808955 = V625508 + 1. assign V091308 = V581289 - 1. assign V300936 = V421614 + 1. assign V818039 = V491008 - 1. assign V461918 = V595407. assign V817984 = V625508 + 1. assign V088713 = V828737 - 1. assign V598312 = V875570 - 1. assign V082076 = V625508. assign V934141 = V859636 - 1. assign V719227 = V828737 - 1. assign V491008 = V942508 + 1. assign V052189 = V082076. assign V141221 = V255501 - 1. assign V013168 = V598312 + 1. assign V875570 = V942508 + 1. assign V418271 = V817984. assign V581883 = V859835 + 1. assign V828737 = V329804 - 1. assign V329804 = V073821 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V700810 = V124792. assign V849702 = V625253. assign V975230 = V329804. assign V595407 = V552217 + 1. assign V077328 = V775542 - 1. assign V055032 = 9. assign V185157 = V451011 - 1. assign V435829 = V875570 + 1. assign V451011 = V366563 + 1. assign V366563 = V581289 - 1. assign V986219 = V808955. assign V073821 = V817984 - 1. assign V625508 = V491008. assign V377811 = V300936 + 1. assign V631756 = V073821. assign V239186 = V416852 + 1. assign V057509 = V586649 + 1. assign V734238 = V904035 - 1. assign V512441 = V586649 - 1. assign V205523 = V057509. assign V807206 = V625508 - 1. assign V421614 = V934141 + 1. assign V313728 = V088713 - 1. assign V416852 = V818039 + 1. assign V983529 = V073821. assign V859835 = V765590. assign V597566 = V598312. assign V859636 = V875570 + 1. assign V229421 = V421614. assign V602790 = V329804. assign V625253 = V873068 + 1. assign V538838 = V552217. assign V837659 = V091308. assign V836238 = V588132 - 1. assign V819754 = V849702. assign V822191 = V491008 + 1. assign V775542 = V765590. assign V867869 = V828737 + 1. assign V716764 = V304296 + 1. assign V437536 = V229421 + 1. assign V124792 = V302548. assign V670963 = V934141 + 1. assign V921497 = V229421 - 1. assign V504451 = V581289. assign V255501 = V859636. assign V597662 = V538838. assign V647279 = V435829. assign V552217 = V875570. assign V904035 = V421614. assign V639074 = V983529 - 1. assign V251719 = V942508 - 1. assign V533044 = V808955. assign V765590 = V625253. assign V486843 = V581883 + 1. assign V422332 = V765590 - 1. assign V090880 = V055032. assign V581289 = V418271. assign V995293 = V366563 - 1. assign V302548 = V491008. assign V503751 = V921497 + 1. assign V588132 = V302548. assign V440241 = V819754 + 1. assign V853274 = V552217. assign V586649 = V849702. assign V304296 = V091308 - 1. assign V942508 = V873068 + 1. assign V808955 = V625508 + 1. assign V091308 = V581289 - 1. assign V300936 = V421614 + 1. assign V818039 = V491008 - 1. assign V461918 = V595407. assign V817984 = V625508 + 1. assign V088713 = V828737 - 1. assign V598312 = V875570 - 1. assign V082076 = V625508. assign V934141 = V859636 - 1. assign V719227 = V828737 - 1. assign V491008 = V942508 + 1. assign V052189 = V082076. assign V141221 = V255501 - 1. assign V013168 = V598312 + 1. assign V875570 = V942508 + 1. assign V418271 = V817984. assign V581883 = V859835 + 1. assign V828737 = V329804 - 1. assign V329804 = V073821 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV055032 = 9;\n\nFrom these direct assignment(s), we have: \nV090880 = V055032 = 9;\nNo other variables can be derived from V090880;\nNo other variables can be derived from V055032;\n\nNow we have done all the calculations. Derived variables are:\nV055032 = 9;\nV090880 = 9;\n\nNow we have finished this problem. ANSWER:\nV055032, V090880\n", "role": "assistant" } ]

[ "V715384" ]

[ { "content": "<context>\nassign V083553 = V603970 + 1. assign V188046 = V726437 - 1. assign V250328 = V806745 - 1. assign V665397 = V971074 + 1. assign V715244 = V432504 + 1. assign V607857 = V430100 + 1. assign V745800 = V229593 + 1. assign V413825 = V083553 + 1. assign V664892 = V119883 + 1. assign V281459 = V128075. assign V658758 = V250328. assign V174270 = V715244 + 1. assign V379124 = V423740 - 1. assign V757634 = V715244 + 1. assign V393947 = V757634 + 1. assign V806745 = V603970. assign V539853 = V726437 - 1. assign V832188 = V607857 + 1. assign V257362 = V806745 + 1. assign V100795 = V128075. assign V505960 = V563421. assign V810467 = V174270. assign V817711 = V715244 + 1. assign V838613 = V229593. assign V111972 = V413825 - 1. assign V182531 = V329526. assign V776628 = V083553 + 1. assign V618848 = V257362 + 1. assign V375342 = V135543 - 1. assign V137687 = V174270 - 1. assign V229593 = V817711. assign V004037 = V413825 - 1. assign V167806 = V128075 - 1. assign V971074 = V430100 + 1. assign V192468 = V715244 - 1. assign V687060 = V272556 - 1. assign V909330 = V173262 + 1. assign V781530 = V083553 - 1. assign V320579 = V776628. assign V173262 = V272556 + 1. assign V541661 = V481303 + 1. assign V224709 = V603970. assign V095126 = V100795 + 1. assign V329526 = V909330 + 1. assign V272556 = V430100 - 1. assign V314906 = V192468 + 1. assign V714512 = V272556. assign V715384 = 10. assign V481303 = V083553 - 1. assign V576158 = V817711. assign V430684 = V320579. assign V706794 = V316640 - 1. assign V186721 = V708643 - 1. assign V053257 = V774521 + 1. assign V181204 = V173262 - 1. assign V273793 = V167806 + 1. assign V459050 = V188046 + 1. assign V233879 = V889061 + 1. assign V432504 = V603970 - 1. assign V774521 = V806745 + 1. assign V726437 = V314906. assign V983245 = V257362. assign V375602 = V432504 - 1. assign V497700 = V250281 - 1. assign V398727 = V576158 - 1. assign V822336 = V320579 - 1. assign V386172 = V413825 + 1. assign V128075 = V250328 - 1. assign V567035 = V430684 + 1. assign V563421 = V776628 - 1. assign V423740 = V192468. assign V221665 = V822336 - 1. assign V708643 = V687060 - 1. assign V889061 = V687060. assign V250281 = V432504. assign V316640 = V563421 - 1. assign V430100 = V603970 + 1. assign V119883 = V822336 - 1. assign V015016 = V715384 + 1. assign V478935 = V603970 - 1. assign V021988 = V320579 - 1. assign V177227 = V413825. assign V719719 = V320579 - 1. assign V173749 = V174270 - 1. assign V135543 = V541661. assign V562264 = V272556.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V083553 = V603970 + 1. assign V188046 = V726437 - 1. assign V250328 = V806745 - 1. assign V665397 = V971074 + 1. assign V715244 = V432504 + 1. assign V607857 = V430100 + 1. assign V745800 = V229593 + 1. assign V413825 = V083553 + 1. assign V664892 = V119883 + 1. assign V281459 = V128075. assign V658758 = V250328. assign V174270 = V715244 + 1. assign V379124 = V423740 - 1. assign V757634 = V715244 + 1. assign V393947 = V757634 + 1. assign V806745 = V603970. assign V539853 = V726437 - 1. assign V832188 = V607857 + 1. assign V257362 = V806745 + 1. assign V100795 = V128075. assign V505960 = V563421. assign V810467 = V174270. assign V817711 = V715244 + 1. assign V838613 = V229593. assign V111972 = V413825 - 1. assign V182531 = V329526. assign V776628 = V083553 + 1. assign V618848 = V257362 + 1. assign V375342 = V135543 - 1. assign V137687 = V174270 - 1. assign V229593 = V817711. assign V004037 = V413825 - 1. assign V167806 = V128075 - 1. assign V971074 = V430100 + 1. assign V192468 = V715244 - 1. assign V687060 = V272556 - 1. assign V909330 = V173262 + 1. assign V781530 = V083553 - 1. assign V320579 = V776628. assign V173262 = V272556 + 1. assign V541661 = V481303 + 1. assign V224709 = V603970. assign V095126 = V100795 + 1. assign V329526 = V909330 + 1. assign V272556 = V430100 - 1. assign V314906 = V192468 + 1. assign V714512 = V272556. assign V715384 = 10. assign V481303 = V083553 - 1. assign V576158 = V817711. assign V430684 = V320579. assign V706794 = V316640 - 1. assign V186721 = V708643 - 1. assign V053257 = V774521 + 1. assign V181204 = V173262 - 1. assign V273793 = V167806 + 1. assign V459050 = V188046 + 1. assign V233879 = V889061 + 1. assign V432504 = V603970 - 1. assign V774521 = V806745 + 1. assign V726437 = V314906. assign V983245 = V257362. assign V375602 = V432504 - 1. assign V497700 = V250281 - 1. assign V398727 = V576158 - 1. assign V822336 = V320579 - 1. assign V386172 = V413825 + 1. assign V128075 = V250328 - 1. assign V567035 = V430684 + 1. assign V563421 = V776628 - 1. assign V423740 = V192468. assign V221665 = V822336 - 1. assign V708643 = V687060 - 1. assign V889061 = V687060. assign V250281 = V432504. assign V316640 = V563421 - 1. assign V430100 = V603970 + 1. assign V119883 = V822336 - 1. assign V015016 = V715384 + 1. assign V478935 = V603970 - 1. assign V021988 = V320579 - 1. assign V177227 = V413825. assign V719719 = V320579 - 1. assign V173749 = V174270 - 1. assign V135543 = V541661. assign V562264 = V272556.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV715384 = 10;\n\nFrom these direct assignment(s), we have: \nV015016 = V715384 + 1 = 10 + 1 =11;\nNo other variables can be derived from V015016;\nNo other variables can be derived from V715384;\n\nNow we have done all the calculations. Derived variables are:\nV715384 = 10;\nV015016 = 11;\n\nNow we have finished this problem. ANSWER:\nV715384\n", "role": "assistant" } ]

[ "V670756", "V438207" ]

[ { "content": "<context>\nassign V279613 = V095522. assign V252487 = V111462 - 1. assign V410363 = V723344 - 1. assign V364337 = V723344 - 1. assign V916775 = V962489. assign V596345 = V510250 + 1. assign V241459 = V048811 + 1. assign V670756 = 1. assign V617499 = V279613 - 1. assign V013898 = V423558. assign V316395 = V962489. assign V244002 = V113582 - 1. assign V728064 = V244002 - 1. assign V761734 = V723344 + 1. assign V467032 = V020285 + 1. assign V211796 = V166514 + 1. assign V483464 = V962489 + 1. assign V993757 = V467032 + 1. assign V435336 = V166514 - 1. assign V178100 = V252487 + 1. assign V435235 = V273783 + 1. assign V823455 = V510250. assign V783280 = V915540 - 1. assign V988008 = V013774 + 1. assign V287296 = V723344 + 1. assign V471750 = V148055. assign V619511 = V609218 + 1. assign V273783 = V452026. assign V166514 = V684336 - 1. assign V667990 = V168131 - 1. assign V013774 = V510250 - 1. assign V123070 = V148055. assign V962489 = V410363 - 1. assign V300025 = V317714 - 1. assign V111462 = V549428 - 1. assign V048811 = V168131 - 1. assign V662541 = V763766 - 1. assign V933897 = V111462 - 1. assign V423558 = V723344. assign V998170 = V273783 - 1. assign V452026 = V793206. assign V549428 = V168131. assign V095522 = V280913. assign V366990 = V915540 - 1. assign V440652 = V083669 - 1. assign V098889 = V168131 - 1. assign V915540 = V510250 - 1. assign V020285 = V301831. assign V722842 = V410363 + 1. assign V533757 = V141358 + 1. assign V545264 = V271358. assign V083669 = V211796. assign V307989 = V820785. assign V317714 = V684336 - 1. assign V510250 = V287296 + 1. assign V148055 = V301831 - 1. assign V064149 = V372842. assign V763766 = V722842 + 1. assign V195159 = V736070 + 1. assign V141358 = V723344 - 1. assign V971346 = V662541. assign V062629 = V483464. assign V271358 = V020285 - 1. assign V881125 = V728064 - 1. assign V127997 = V364337 - 1. assign V736070 = V098889 - 1. assign V793206 = V684336 + 1. assign V157526 = V168131. assign V372842 = V423558 + 1. assign V469567 = V020285 - 1. assign V695551 = V617499 + 1. assign V113582 = V410363 + 1. assign V609218 = V962489. assign V688410 = V364337 + 1. assign V469734 = V141358 - 1. assign V165756 = V301831. assign V359480 = V166514. assign V820785 = V452026 - 1. assign V684336 = V301831 + 1. assign V884560 = V020285 - 1. assign V280913 = V098889. assign V438207 = V670756. assign V168131 = V141358 + 1. assign V613699 = V168131. assign V301831 = V141358. assign V338678 = V667990 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V279613 = V095522. assign V252487 = V111462 - 1. assign V410363 = V723344 - 1. assign V364337 = V723344 - 1. assign V916775 = V962489. assign V596345 = V510250 + 1. assign V241459 = V048811 + 1. assign V670756 = 1. assign V617499 = V279613 - 1. assign V013898 = V423558. assign V316395 = V962489. assign V244002 = V113582 - 1. assign V728064 = V244002 - 1. assign V761734 = V723344 + 1. assign V467032 = V020285 + 1. assign V211796 = V166514 + 1. assign V483464 = V962489 + 1. assign V993757 = V467032 + 1. assign V435336 = V166514 - 1. assign V178100 = V252487 + 1. assign V435235 = V273783 + 1. assign V823455 = V510250. assign V783280 = V915540 - 1. assign V988008 = V013774 + 1. assign V287296 = V723344 + 1. assign V471750 = V148055. assign V619511 = V609218 + 1. assign V273783 = V452026. assign V166514 = V684336 - 1. assign V667990 = V168131 - 1. assign V013774 = V510250 - 1. assign V123070 = V148055. assign V962489 = V410363 - 1. assign V300025 = V317714 - 1. assign V111462 = V549428 - 1. assign V048811 = V168131 - 1. assign V662541 = V763766 - 1. assign V933897 = V111462 - 1. assign V423558 = V723344. assign V998170 = V273783 - 1. assign V452026 = V793206. assign V549428 = V168131. assign V095522 = V280913. assign V366990 = V915540 - 1. assign V440652 = V083669 - 1. assign V098889 = V168131 - 1. assign V915540 = V510250 - 1. assign V020285 = V301831. assign V722842 = V410363 + 1. assign V533757 = V141358 + 1. assign V545264 = V271358. assign V083669 = V211796. assign V307989 = V820785. assign V317714 = V684336 - 1. assign V510250 = V287296 + 1. assign V148055 = V301831 - 1. assign V064149 = V372842. assign V763766 = V722842 + 1. assign V195159 = V736070 + 1. assign V141358 = V723344 - 1. assign V971346 = V662541. assign V062629 = V483464. assign V271358 = V020285 - 1. assign V881125 = V728064 - 1. assign V127997 = V364337 - 1. assign V736070 = V098889 - 1. assign V793206 = V684336 + 1. assign V157526 = V168131. assign V372842 = V423558 + 1. assign V469567 = V020285 - 1. assign V695551 = V617499 + 1. assign V113582 = V410363 + 1. assign V609218 = V962489. assign V688410 = V364337 + 1. assign V469734 = V141358 - 1. assign V165756 = V301831. assign V359480 = V166514. assign V820785 = V452026 - 1. assign V684336 = V301831 + 1. assign V884560 = V020285 - 1. assign V280913 = V098889. assign V438207 = V670756. assign V168131 = V141358 + 1. assign V613699 = V168131. assign V301831 = V141358. assign V338678 = V667990 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV670756 = 1;\n\nFrom these direct assignment(s), we have: \nV438207 = V670756 = 1;\nNo other variables can be derived from V438207;\nNo other variables can be derived from V670756;\n\nNow we have done all the calculations. Derived variables are:\nV670756 = 1;\nV438207 = 1;\n\nNow we have finished this problem. ANSWER:\nV670756, V438207\n", "role": "assistant" } ]

[ "V388725" ]

[ { "content": "<context>\nassign V900892 = V057629. assign V753723 = V311390. assign V311390 = V292124 + 1. assign V208408 = V948068. assign V997651 = V753723. assign V974649 = V292124. assign V623053 = V306109. assign V456842 = V759983 + 1. assign V387620 = V753723. assign V913781 = V511271 + 1. assign V203656 = V704408 - 1. assign V178234 = V639339 - 1. assign V742585 = V356515. assign V743198 = V746877 - 1. assign V546638 = V456842. assign V961939 = V208408. assign V828369 = V135315 - 1. assign V402844 = V257593. assign V959300 = V743198 + 1. assign V557277 = V295581 - 1. assign V893042 = V746877 - 1. assign V637134 = V589937 + 1. assign V472076 = V759983 + 1. assign V453335 = 6. assign V723435 = V135315 - 1. assign V759983 = V620615 - 1. assign V735117 = V831285 + 1. assign V301100 = V362887 + 1. assign V135315 = V022491 - 1. assign V542238 = V769524 - 1. assign V057629 = V208408 + 1. assign V187716 = V914248 + 1. assign V589937 = V248949 + 1. assign V774490 = V930779 + 1. assign V611255 = V123814. assign V735666 = V743198 - 1. assign V676357 = V753723 - 1. assign V257593 = V311390 - 1. assign V215904 = V589937 + 1. assign V362887 = V311390 + 1. assign V930779 = V364540 - 1. assign V026944 = V620615 - 1. assign V210353 = V421547 - 1. assign V972324 = V723435 - 1. assign V421547 = V067063. assign V067063 = V362887 + 1. assign V125944 = V723435. assign V242520 = V753723. assign V879718 = V997651 - 1. assign V295581 = V022491 - 1. assign V025090 = V557277 + 1. assign V388725 = V453335 + 1. assign V248949 = V620615. assign V746877 = V356515 - 1. assign V364540 = V755966 - 1. assign V462520 = V135315. assign V089935 = V755966. assign V444479 = V311390 - 1. assign V344969 = V311390 + 1. assign V291994 = V462520 + 1. assign V356515 = V311390 + 1. assign V511271 = V759983. assign V849505 = V980139 - 1. assign V906770 = V026944. assign V595940 = V755966 + 1. assign V639339 = V759983 - 1. assign V606779 = V187716 + 1. assign V288687 = V735117. assign V292124 = V022491. assign V306109 = V723435 + 1. assign V138301 = V906770 - 1. assign V948068 = V746877 - 1. assign V688704 = V356515 + 1. assign V831285 = V620615 + 1. assign V539249 = V089935. assign V467651 = V360487. assign V769524 = V620615. assign V870935 = V831285 - 1. assign V755966 = V292124 + 1. assign V360487 = V292124 + 1. assign V210728 = V356515 - 1. assign V704408 = V360487 + 1. assign V980139 = V022491. assign V914248 = V360487 + 1. assign V123814 = V089935. assign V620615 = V257593.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V900892 = V057629. assign V753723 = V311390. assign V311390 = V292124 + 1. assign V208408 = V948068. assign V997651 = V753723. assign V974649 = V292124. assign V623053 = V306109. assign V456842 = V759983 + 1. assign V387620 = V753723. assign V913781 = V511271 + 1. assign V203656 = V704408 - 1. assign V178234 = V639339 - 1. assign V742585 = V356515. assign V743198 = V746877 - 1. assign V546638 = V456842. assign V961939 = V208408. assign V828369 = V135315 - 1. assign V402844 = V257593. assign V959300 = V743198 + 1. assign V557277 = V295581 - 1. assign V893042 = V746877 - 1. assign V637134 = V589937 + 1. assign V472076 = V759983 + 1. assign V453335 = 6. assign V723435 = V135315 - 1. assign V759983 = V620615 - 1. assign V735117 = V831285 + 1. assign V301100 = V362887 + 1. assign V135315 = V022491 - 1. assign V542238 = V769524 - 1. assign V057629 = V208408 + 1. assign V187716 = V914248 + 1. assign V589937 = V248949 + 1. assign V774490 = V930779 + 1. assign V611255 = V123814. assign V735666 = V743198 - 1. assign V676357 = V753723 - 1. assign V257593 = V311390 - 1. assign V215904 = V589937 + 1. assign V362887 = V311390 + 1. assign V930779 = V364540 - 1. assign V026944 = V620615 - 1. assign V210353 = V421547 - 1. assign V972324 = V723435 - 1. assign V421547 = V067063. assign V067063 = V362887 + 1. assign V125944 = V723435. assign V242520 = V753723. assign V879718 = V997651 - 1. assign V295581 = V022491 - 1. assign V025090 = V557277 + 1. assign V388725 = V453335 + 1. assign V248949 = V620615. assign V746877 = V356515 - 1. assign V364540 = V755966 - 1. assign V462520 = V135315. assign V089935 = V755966. assign V444479 = V311390 - 1. assign V344969 = V311390 + 1. assign V291994 = V462520 + 1. assign V356515 = V311390 + 1. assign V511271 = V759983. assign V849505 = V980139 - 1. assign V906770 = V026944. assign V595940 = V755966 + 1. assign V639339 = V759983 - 1. assign V606779 = V187716 + 1. assign V288687 = V735117. assign V292124 = V022491. assign V306109 = V723435 + 1. assign V138301 = V906770 - 1. assign V948068 = V746877 - 1. assign V688704 = V356515 + 1. assign V831285 = V620615 + 1. assign V539249 = V089935. assign V467651 = V360487. assign V769524 = V620615. assign V870935 = V831285 - 1. assign V755966 = V292124 + 1. assign V360487 = V292124 + 1. assign V210728 = V356515 - 1. assign V704408 = V360487 + 1. assign V980139 = V022491. assign V914248 = V360487 + 1. assign V123814 = V089935. assign V620615 = V257593.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV453335 = 6;\n\nFrom these direct assignment(s), we have: \nV388725 = V453335 + 1 = 6 + 1 =7;\nNo other variables can be derived from V388725;\nNo other variables can be derived from V453335;\n\nNow we have done all the calculations. Derived variables are:\nV453335 = 6;\nV388725 = 7;\n\nNow we have finished this problem. ANSWER:\nV388725\n", "role": "assistant" } ]

[ "V193958" ]

[ { "content": "<context>\nassign V282103 = V090079. assign V564015 = V600218. assign V936535 = V505992 - 1. assign V409242 = V600218 - 1. assign V085647 = V452942 + 1. assign V593263 = V464332 - 1. assign V508378 = V741322 + 1. assign V155238 = V963121. assign V755302 = V675935 + 1. assign V660127 = V365314. assign V082358 = V452942. assign V600218 = V353672 + 1. assign V963121 = V849987 - 1. assign V741322 = V180520 - 1. assign V675935 = V265756. assign V083159 = V735631. assign V780466 = V875190. assign V718751 = V967833. assign V652246 = V610701 + 1. assign V180520 = V470286 + 1. assign V617568 = V936535 + 1. assign V923236 = V600218 + 1. assign V242919 = V787243. assign V542121 = V085647. assign V200578 = V353672 - 1. assign V936649 = V468956 + 1. assign V661411 = V085647 + 1. assign V193958 = V143500 - 1. assign V954661 = V787243. assign V464332 = V468956 + 1. assign V026004 = V265756 + 1. assign V143500 = 7. assign V086683 = V365314. assign V108438 = V082358. assign V265756 = V600218 - 1. assign V374925 = V875190 + 1. assign V607477 = V227644. assign V958065 = V735631 + 1. assign V527112 = V468956 + 1. assign V849987 = V242919. assign V231074 = V452942. assign V357762 = V200578. assign V353672 = V113643. assign V677125 = V528939 - 1. assign V227644 = V231074 - 1. assign V470286 = V527112 - 1. assign V276560 = V085647 - 1. assign V182931 = V452942 - 1. assign V610701 = V108438 + 1. assign V851435 = V227644 - 1. assign V190232 = V468956 + 1. assign V820787 = V470286 + 1. assign V322958 = V500965 + 1. assign V381225 = V787243 - 1. assign V528939 = V231074 - 1. assign V174071 = V748687 + 1. assign V113643 = V082358. assign V957986 = V086683 - 1. assign V735631 = V365314. assign V678277 = V128793 - 1. assign V505992 = V452942. assign V500965 = V083294 - 1. assign V365314 = V452942 + 1. assign V547596 = V190232 - 1. assign V967833 = V652246 - 1. assign V228378 = V505992 + 1. assign V129803 = V190232. assign V128793 = V452942. assign V787243 = V108438 - 1. assign V748687 = V464332 + 1. assign V866899 = V242919 + 1. assign V936142 = V287643 + 1. assign V019988 = V936535 - 1. assign V090079 = V190232. assign V287643 = V787243. assign V691145 = V787243. assign V875190 = V365314 - 1. assign V721802 = V954661 - 1. assign V375974 = V936142 - 1. assign V083294 = V721802. assign V314094 = V600218. assign V992949 = V128793 - 1. assign V320483 = V090079 - 1. assign V387257 = V287643. assign V468956 = V231074. assign V019884 = V365314 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V282103 = V090079. assign V564015 = V600218. assign V936535 = V505992 - 1. assign V409242 = V600218 - 1. assign V085647 = V452942 + 1. assign V593263 = V464332 - 1. assign V508378 = V741322 + 1. assign V155238 = V963121. assign V755302 = V675935 + 1. assign V660127 = V365314. assign V082358 = V452942. assign V600218 = V353672 + 1. assign V963121 = V849987 - 1. assign V741322 = V180520 - 1. assign V675935 = V265756. assign V083159 = V735631. assign V780466 = V875190. assign V718751 = V967833. assign V652246 = V610701 + 1. assign V180520 = V470286 + 1. assign V617568 = V936535 + 1. assign V923236 = V600218 + 1. assign V242919 = V787243. assign V542121 = V085647. assign V200578 = V353672 - 1. assign V936649 = V468956 + 1. assign V661411 = V085647 + 1. assign V193958 = V143500 - 1. assign V954661 = V787243. assign V464332 = V468956 + 1. assign V026004 = V265756 + 1. assign V143500 = 7. assign V086683 = V365314. assign V108438 = V082358. assign V265756 = V600218 - 1. assign V374925 = V875190 + 1. assign V607477 = V227644. assign V958065 = V735631 + 1. assign V527112 = V468956 + 1. assign V849987 = V242919. assign V231074 = V452942. assign V357762 = V200578. assign V353672 = V113643. assign V677125 = V528939 - 1. assign V227644 = V231074 - 1. assign V470286 = V527112 - 1. assign V276560 = V085647 - 1. assign V182931 = V452942 - 1. assign V610701 = V108438 + 1. assign V851435 = V227644 - 1. assign V190232 = V468956 + 1. assign V820787 = V470286 + 1. assign V322958 = V500965 + 1. assign V381225 = V787243 - 1. assign V528939 = V231074 - 1. assign V174071 = V748687 + 1. assign V113643 = V082358. assign V957986 = V086683 - 1. assign V735631 = V365314. assign V678277 = V128793 - 1. assign V505992 = V452942. assign V500965 = V083294 - 1. assign V365314 = V452942 + 1. assign V547596 = V190232 - 1. assign V967833 = V652246 - 1. assign V228378 = V505992 + 1. assign V129803 = V190232. assign V128793 = V452942. assign V787243 = V108438 - 1. assign V748687 = V464332 + 1. assign V866899 = V242919 + 1. assign V936142 = V287643 + 1. assign V019988 = V936535 - 1. assign V090079 = V190232. assign V287643 = V787243. assign V691145 = V787243. assign V875190 = V365314 - 1. assign V721802 = V954661 - 1. assign V375974 = V936142 - 1. assign V083294 = V721802. assign V314094 = V600218. assign V992949 = V128793 - 1. assign V320483 = V090079 - 1. assign V387257 = V287643. assign V468956 = V231074. assign V019884 = V365314 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV143500 = 7;\n\nFrom these direct assignment(s), we have: \nV193958 = V143500 - 1 = 7 - 1 =6;\nNo other variables can be derived from V193958;\nNo other variables can be derived from V143500;\n\nNow we have done all the calculations. Derived variables are:\nV143500 = 7;\nV193958 = 6;\n\nNow we have finished this problem. ANSWER:\nV193958\n", "role": "assistant" } ]

[ "V358942" ]

[ { "content": "<context>\nassign V967830 = V644587 - 1. assign V878053 = V768191. assign V983373 = V921334 - 1. assign V443519 = V078765. assign V358942 = V682412 - 1. assign V655644 = V680975 + 1. assign V582311 = V289829. assign V132211 = V530094. assign V965700 = V804792 - 1. assign V326782 = V704090 - 1. assign V473978 = V724966 - 1. assign V278641 = V901537. assign V818833 = V472088. assign V681794 = V403886 + 1. assign V530094 = V964600 - 1. assign V754392 = V429224. assign V804792 = V472088. assign V883282 = V400998. assign V078765 = V684331. assign V157983 = V684331 - 1. assign V734049 = V680975 - 1. assign V644587 = V132211. assign V713956 = V567332 - 1. assign V443332 = V472088 - 1. assign V783205 = V754392 - 1. assign V559579 = V459306. assign V361353 = V101252 - 1. assign V704090 = V724966. assign V770171 = V289829 - 1. assign V057026 = V927261 + 1. assign V408396 = V542001 + 1. assign V932375 = V693804 - 1. assign V680975 = V289829 - 1. assign V173195 = V967830 - 1. assign V682412 = 7. assign V429224 = V403886. assign V435448 = V459306 - 1. assign V296314 = V680975 + 1. assign V472088 = V762574 + 1. assign V567198 = V838866. assign V101252 = V724966 + 1. assign V567332 = V280266 - 1. assign V471953 = V400742 - 1. assign V459306 = V704090 - 1. assign V927261 = V400998. assign V212546 = V783205. assign V400998 = V289829 - 1. assign V103014 = V632327 + 1. assign V248674 = V101252 - 1. assign V280266 = V967830. assign V205163 = V724966 - 1. assign V400742 = V408396 - 1. assign V236048 = V927261. assign V076357 = V472088 + 1. assign V688954 = V435448 - 1. assign V511743 = V567198 - 1. assign V288610 = V768191 + 1. assign V684331 = V964600. assign V804740 = V680975 - 1. assign V840164 = V152610 + 1. assign V239649 = V278641. assign V693804 = V762574. assign V671269 = V176181. assign V505073 = V644587 - 1. assign V176181 = V278641 + 1. assign V921334 = V883282 - 1. assign V474296 = V901537. assign V424172 = V734049 + 1. assign V784586 = V644587 + 1. assign V964600 = V473978. assign V658605 = V901537 - 1. assign V171864 = V296314 + 1. assign V724966 = V289829. assign V335099 = V921334 + 1. assign V280086 = V403886 + 1. assign V152610 = V473978 - 1. assign V838866 = V724966. assign V901537 = V680975 - 1. assign V403886 = V724966 + 1. assign V762574 = V724966. assign V499615 = V927261 + 1. assign V581870 = V567198 + 1. assign V768191 = V680975 - 1. assign V542001 = V530094. assign V632327 = V559579 - 1. assign V312919 = V157983.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V967830 = V644587 - 1. assign V878053 = V768191. assign V983373 = V921334 - 1. assign V443519 = V078765. assign V358942 = V682412 - 1. assign V655644 = V680975 + 1. assign V582311 = V289829. assign V132211 = V530094. assign V965700 = V804792 - 1. assign V326782 = V704090 - 1. assign V473978 = V724966 - 1. assign V278641 = V901537. assign V818833 = V472088. assign V681794 = V403886 + 1. assign V530094 = V964600 - 1. assign V754392 = V429224. assign V804792 = V472088. assign V883282 = V400998. assign V078765 = V684331. assign V157983 = V684331 - 1. assign V734049 = V680975 - 1. assign V644587 = V132211. assign V713956 = V567332 - 1. assign V443332 = V472088 - 1. assign V783205 = V754392 - 1. assign V559579 = V459306. assign V361353 = V101252 - 1. assign V704090 = V724966. assign V770171 = V289829 - 1. assign V057026 = V927261 + 1. assign V408396 = V542001 + 1. assign V932375 = V693804 - 1. assign V680975 = V289829 - 1. assign V173195 = V967830 - 1. assign V682412 = 7. assign V429224 = V403886. assign V435448 = V459306 - 1. assign V296314 = V680975 + 1. assign V472088 = V762574 + 1. assign V567198 = V838866. assign V101252 = V724966 + 1. assign V567332 = V280266 - 1. assign V471953 = V400742 - 1. assign V459306 = V704090 - 1. assign V927261 = V400998. assign V212546 = V783205. assign V400998 = V289829 - 1. assign V103014 = V632327 + 1. assign V248674 = V101252 - 1. assign V280266 = V967830. assign V205163 = V724966 - 1. assign V400742 = V408396 - 1. assign V236048 = V927261. assign V076357 = V472088 + 1. assign V688954 = V435448 - 1. assign V511743 = V567198 - 1. assign V288610 = V768191 + 1. assign V684331 = V964600. assign V804740 = V680975 - 1. assign V840164 = V152610 + 1. assign V239649 = V278641. assign V693804 = V762574. assign V671269 = V176181. assign V505073 = V644587 - 1. assign V176181 = V278641 + 1. assign V921334 = V883282 - 1. assign V474296 = V901537. assign V424172 = V734049 + 1. assign V784586 = V644587 + 1. assign V964600 = V473978. assign V658605 = V901537 - 1. assign V171864 = V296314 + 1. assign V724966 = V289829. assign V335099 = V921334 + 1. assign V280086 = V403886 + 1. assign V152610 = V473978 - 1. assign V838866 = V724966. assign V901537 = V680975 - 1. assign V403886 = V724966 + 1. assign V762574 = V724966. assign V499615 = V927261 + 1. assign V581870 = V567198 + 1. assign V768191 = V680975 - 1. assign V542001 = V530094. assign V632327 = V559579 - 1. assign V312919 = V157983.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV682412 = 7;\n\nFrom these direct assignment(s), we have: \nV358942 = V682412 - 1 = 7 - 1 =6;\nNo other variables can be derived from V358942;\nNo other variables can be derived from V682412;\n\nNow we have done all the calculations. Derived variables are:\nV682412 = 7;\nV358942 = 6;\n\nNow we have finished this problem. ANSWER:\nV358942\n", "role": "assistant" } ]

[ "V332258" ]

[ { "content": "<context>\nassign V714892 = V829036 - 1. assign V646522 = V584261 + 1. assign V364013 = V526557 - 1. assign V989133 = V572602 + 1. assign V799854 = V331255 - 1. assign V650241 = V331255 - 1. assign V409429 = V783086 - 1. assign V711889 = V887128 - 1. assign V526557 = V796400 - 1. assign V969638 = V121345 - 1. assign V998900 = V526557 - 1. assign V630516 = V129420. assign V530490 = V129420 - 1. assign V890072 = V265141 - 1. assign V829036 = V037497 - 1. assign V331255 = V796400. assign V998747 = V953518 + 1. assign V719729 = V799854 - 1. assign V384243 = V294158 + 1. assign V357118 = V237263 + 1. assign V713961 = V526557 + 1. assign V875313 = V198731 + 1. assign V887128 = V075837 + 1. assign V156866 = V713961. assign V802886 = V725337 + 1. assign V637869 = V331255. assign V308708 = V776825. assign V121345 = V796400 + 1. assign V371393 = V799854 - 1. assign V075837 = V526557. assign V578230 = V711889 + 1. assign V719355 = V713961 + 1. assign V294158 = V526557 + 1. assign V192074 = V650241. assign V430848 = V175506. assign V584261 = V796400 - 1. assign V124046 = V110446. assign V372226 = V799854 - 1. assign V766494 = V646522. assign V327517 = V331255 + 1. assign V572602 = V796400. assign V237263 = V799854. assign V114048 = V325163 - 1. assign V175506 = V459517. assign V943812 = V650241. assign V649039 = V237263 + 1. assign V849314 = V409429. assign V707895 = V630516 - 1. assign V459517 = V156866 + 1. assign V701740 = V198731 - 1. assign V953518 = V615670 - 1. assign V485326 = V725337. assign V037497 = V331255 + 1. assign V999590 = V331255 - 1. assign V565184 = V325163. assign V854083 = V265141. assign V702620 = V649039. assign V702302 = V998900 - 1. assign V270112 = V364013 + 1. assign V332258 = V839803 + 1. assign V110446 = V237263 - 1. assign V265141 = V526557. assign V654019 = V075837. assign V725337 = V969638. assign V488761 = V998900. assign V688514 = V650241 - 1. assign V927506 = V802886 - 1. assign V138129 = V198731. assign V692777 = V357118 - 1. assign V960137 = V572602 - 1. assign V399633 = V776825. assign V149139 = V719729. assign V776825 = V192074 - 1. assign V390583 = V796400 - 1. assign V500362 = V409429 - 1. assign V321354 = V308708. assign V129420 = V829036 - 1. assign V783086 = V572602 + 1. assign V628182 = V526557 - 1. assign V274262 = V989133. assign V615670 = V829036. assign V183534 = V156866 - 1. assign V325163 = V198731. assign V810615 = V192074 - 1. assign V198731 = V075837 - 1. assign V839803 = 8.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V714892 = V829036 - 1. assign V646522 = V584261 + 1. assign V364013 = V526557 - 1. assign V989133 = V572602 + 1. assign V799854 = V331255 - 1. assign V650241 = V331255 - 1. assign V409429 = V783086 - 1. assign V711889 = V887128 - 1. assign V526557 = V796400 - 1. assign V969638 = V121345 - 1. assign V998900 = V526557 - 1. assign V630516 = V129420. assign V530490 = V129420 - 1. assign V890072 = V265141 - 1. assign V829036 = V037497 - 1. assign V331255 = V796400. assign V998747 = V953518 + 1. assign V719729 = V799854 - 1. assign V384243 = V294158 + 1. assign V357118 = V237263 + 1. assign V713961 = V526557 + 1. assign V875313 = V198731 + 1. assign V887128 = V075837 + 1. assign V156866 = V713961. assign V802886 = V725337 + 1. assign V637869 = V331255. assign V308708 = V776825. assign V121345 = V796400 + 1. assign V371393 = V799854 - 1. assign V075837 = V526557. assign V578230 = V711889 + 1. assign V719355 = V713961 + 1. assign V294158 = V526557 + 1. assign V192074 = V650241. assign V430848 = V175506. assign V584261 = V796400 - 1. assign V124046 = V110446. assign V372226 = V799854 - 1. assign V766494 = V646522. assign V327517 = V331255 + 1. assign V572602 = V796400. assign V237263 = V799854. assign V114048 = V325163 - 1. assign V175506 = V459517. assign V943812 = V650241. assign V649039 = V237263 + 1. assign V849314 = V409429. assign V707895 = V630516 - 1. assign V459517 = V156866 + 1. assign V701740 = V198731 - 1. assign V953518 = V615670 - 1. assign V485326 = V725337. assign V037497 = V331255 + 1. assign V999590 = V331255 - 1. assign V565184 = V325163. assign V854083 = V265141. assign V702620 = V649039. assign V702302 = V998900 - 1. assign V270112 = V364013 + 1. assign V332258 = V839803 + 1. assign V110446 = V237263 - 1. assign V265141 = V526557. assign V654019 = V075837. assign V725337 = V969638. assign V488761 = V998900. assign V688514 = V650241 - 1. assign V927506 = V802886 - 1. assign V138129 = V198731. assign V692777 = V357118 - 1. assign V960137 = V572602 - 1. assign V399633 = V776825. assign V149139 = V719729. assign V776825 = V192074 - 1. assign V390583 = V796400 - 1. assign V500362 = V409429 - 1. assign V321354 = V308708. assign V129420 = V829036 - 1. assign V783086 = V572602 + 1. assign V628182 = V526557 - 1. assign V274262 = V989133. assign V615670 = V829036. assign V183534 = V156866 - 1. assign V325163 = V198731. assign V810615 = V192074 - 1. assign V198731 = V075837 - 1. assign V839803 = 8.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV839803 = 8;\n\nFrom these direct assignment(s), we have: \nV332258 = V839803 + 1 = 8 + 1 =9;\nNo other variables can be derived from V332258;\nNo other variables can be derived from V839803;\n\nNow we have done all the calculations. Derived variables are:\nV839803 = 8;\nV332258 = 9;\n\nNow we have finished this problem. ANSWER:\nV332258\n", "role": "assistant" } ]

[ "V870736" ]

[ { "content": "<context>\nassign V969062 = V247345 + 1. assign V441651 = V469558 + 1. assign V892214 = V434342 + 1. assign V643585 = V433019 - 1. assign V572660 = V441651 + 1. assign V704319 = V107541 - 1. assign V343486 = V433019 - 1. assign V134197 = V364936 - 1. assign V840142 = V541444 - 1. assign V337740 = V804351. assign V833184 = V643276 - 1. assign V643276 = V200995 + 1. assign V344977 = V738205. assign V452916 = V469558 + 1. assign V946510 = V001174 + 1. assign V112694 = V541870 + 1. assign V160316 = V541444. assign V001174 = V579090. assign V995771 = V643276 + 1. assign V870736 = 7. assign V343056 = V585612 - 1. assign V227748 = V698019 - 1. assign V531121 = V541444 + 1. assign V886578 = V441651 + 1. assign V829931 = V441651 - 1. assign V327049 = V873002 + 1. assign V248387 = V946510 - 1. assign V825466 = V541870. assign V541444 = V946510 + 1. assign V901625 = V829931 + 1. assign V058262 = V704319 - 1. assign V873002 = V200995 + 1. assign V769956 = V434342 + 1. assign V364936 = V579090 - 1. assign V831431 = V579090 + 1. assign V434342 = V541870 + 1. assign V433019 = V791117. assign V170381 = V200995 + 1. assign V541870 = V441651 + 1. assign V945609 = V969062. assign V698019 = V071179. assign V708348 = V791117 - 1. assign V444919 = V409716. assign V491493 = V946510. assign V752384 = V375448 - 1. assign V247345 = V248387 + 1. assign V978246 = V958474 - 1. assign V354580 = V978246 - 1. assign V604036 = V958474 + 1. assign V014193 = V433019 - 1. assign V907606 = V294377. assign V699636 = V364936. assign V114453 = V873002 - 1. assign V153923 = V585612. assign V107541 = V200995 - 1. assign V329000 = V344977 + 1. assign V469558 = V071179 - 1. assign V859819 = V643276 - 1. assign V863014 = V915245 + 1. assign V978116 = V375448 + 1. assign V409716 = V433019. assign V294377 = V946510 - 1. assign V208399 = V604036 - 1. assign V915245 = V294377 - 1. assign V375448 = V071179. assign V015382 = V946510. assign V974644 = V015382 + 1. assign V199617 = V109923 + 1. assign V201263 = V170381 + 1. assign V739068 = V699636 - 1. assign V210812 = V200995 + 1. assign V579090 = V791117. assign V109923 = V958474. assign V217480 = V001174. assign V791117 = V071179 - 1. assign V933879 = V946510. assign V804351 = V915245 + 1. assign V215574 = V170381 - 1. assign V738205 = V452916 + 1. assign V815856 = V825466. assign V958474 = V170381. assign V615366 = V409716. assign V585612 = V452916 - 1. assign V907085 = V001174. assign V504767 = V870736 - 1. assign V200995 = V579090 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V969062 = V247345 + 1. assign V441651 = V469558 + 1. assign V892214 = V434342 + 1. assign V643585 = V433019 - 1. assign V572660 = V441651 + 1. assign V704319 = V107541 - 1. assign V343486 = V433019 - 1. assign V134197 = V364936 - 1. assign V840142 = V541444 - 1. assign V337740 = V804351. assign V833184 = V643276 - 1. assign V643276 = V200995 + 1. assign V344977 = V738205. assign V452916 = V469558 + 1. assign V946510 = V001174 + 1. assign V112694 = V541870 + 1. assign V160316 = V541444. assign V001174 = V579090. assign V995771 = V643276 + 1. assign V870736 = 7. assign V343056 = V585612 - 1. assign V227748 = V698019 - 1. assign V531121 = V541444 + 1. assign V886578 = V441651 + 1. assign V829931 = V441651 - 1. assign V327049 = V873002 + 1. assign V248387 = V946510 - 1. assign V825466 = V541870. assign V541444 = V946510 + 1. assign V901625 = V829931 + 1. assign V058262 = V704319 - 1. assign V873002 = V200995 + 1. assign V769956 = V434342 + 1. assign V364936 = V579090 - 1. assign V831431 = V579090 + 1. assign V434342 = V541870 + 1. assign V433019 = V791117. assign V170381 = V200995 + 1. assign V541870 = V441651 + 1. assign V945609 = V969062. assign V698019 = V071179. assign V708348 = V791117 - 1. assign V444919 = V409716. assign V491493 = V946510. assign V752384 = V375448 - 1. assign V247345 = V248387 + 1. assign V978246 = V958474 - 1. assign V354580 = V978246 - 1. assign V604036 = V958474 + 1. assign V014193 = V433019 - 1. assign V907606 = V294377. assign V699636 = V364936. assign V114453 = V873002 - 1. assign V153923 = V585612. assign V107541 = V200995 - 1. assign V329000 = V344977 + 1. assign V469558 = V071179 - 1. assign V859819 = V643276 - 1. assign V863014 = V915245 + 1. assign V978116 = V375448 + 1. assign V409716 = V433019. assign V294377 = V946510 - 1. assign V208399 = V604036 - 1. assign V915245 = V294377 - 1. assign V375448 = V071179. assign V015382 = V946510. assign V974644 = V015382 + 1. assign V199617 = V109923 + 1. assign V201263 = V170381 + 1. assign V739068 = V699636 - 1. assign V210812 = V200995 + 1. assign V579090 = V791117. assign V109923 = V958474. assign V217480 = V001174. assign V791117 = V071179 - 1. assign V933879 = V946510. assign V804351 = V915245 + 1. assign V215574 = V170381 - 1. assign V738205 = V452916 + 1. assign V815856 = V825466. assign V958474 = V170381. assign V615366 = V409716. assign V585612 = V452916 - 1. assign V907085 = V001174. assign V504767 = V870736 - 1. assign V200995 = V579090 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV870736 = 7;\n\nFrom these direct assignment(s), we have: \nV504767 = V870736 - 1 = 7 - 1 =6;\nNo other variables can be derived from V504767;\nNo other variables can be derived from V870736;\n\nNow we have done all the calculations. Derived variables are:\nV870736 = 7;\nV504767 = 6;\n\nNow we have finished this problem. ANSWER:\nV870736\n", "role": "assistant" } ]

[ "V651671" ]

[ { "content": "<context>\nassign V850017 = V826900 + 1. assign V058451 = V277571. assign V277571 = V154804 - 1. assign V904152 = 1. assign V807987 = V767251 - 1. assign V303875 = V200837 - 1. assign V524293 = V964111. assign V356752 = V429500 + 1. assign V210840 = V837041. assign V346151 = V773835 + 1. assign V230934 = V277571 + 1. assign V022236 = V241449 - 1. assign V933775 = V286334. assign V837041 = V241449 + 1. assign V099776 = V933775 - 1. assign V014398 = V277571. assign V200837 = V633752 - 1. assign V013869 = V531895. assign V985443 = V767251. assign V836116 = V905522 - 1. assign V673022 = V438919 + 1. assign V773835 = V675940 - 1. assign V184510 = V154804 - 1. assign V220120 = V857009. assign V314615 = V429500 - 1. assign V042073 = V933775 + 1. assign V225303 = V633752 + 1. assign V412021 = V734300 + 1. assign V102470 = V792426 + 1. assign V857009 = V567959. assign V873503 = V767251 - 1. assign V241449 = V792426 - 1. assign V788326 = V587094 + 1. assign V938791 = V123315 + 1. assign V767251 = V210840 - 1. assign V286334 = V531895. assign V587094 = V397572 - 1. assign V154804 = V587094. assign V675940 = V225303. assign V996907 = V788326 + 1. assign V429500 = V662877 + 1. assign V070717 = V200837 - 1. assign V154357 = V933775. assign V165098 = V241449 - 1. assign V826900 = V241449 - 1. assign V042513 = V938791 - 1. assign V024898 = V413265. assign V123315 = V200837. assign V548115 = V746333 - 1. assign V905522 = V220316 + 1. assign V331864 = V423197 - 1. assign V413265 = V123315 + 1. assign V097923 = V567959 + 1. assign V506980 = V314615 - 1. assign V923628 = V123315. assign V423197 = V397572 - 1. assign V964111 = V241449 + 1. assign V734300 = V826900 - 1. assign V531895 = V241449 - 1. assign V567959 = V241449 + 1. assign V528540 = V397572. assign V222578 = V567959. assign V639703 = V734300 - 1. assign V019201 = V184510 + 1. assign V455082 = V286334 + 1. assign V573163 = V905522 + 1. assign V004459 = V639703 - 1. assign V651671 = V904152 + 1. assign V655011 = V639703. assign V957793 = V857009 - 1. assign V920675 = V567959 + 1. assign V164928 = V633752 + 1. assign V438919 = V767251 + 1. assign V618948 = V531895. assign V275097 = V531895 + 1. assign V633752 = V792426 + 1. assign V858919 = V792426. assign V220316 = V964111 + 1. assign V490767 = V905522. assign V397572 = V241449. assign V746333 = V429500 + 1. assign V142614 = V184510. assign V093859 = V241449. assign V240136 = V346151 + 1. assign V120314 = V097923. assign V662877 = V154804 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V850017 = V826900 + 1. assign V058451 = V277571. assign V277571 = V154804 - 1. assign V904152 = 1. assign V807987 = V767251 - 1. assign V303875 = V200837 - 1. assign V524293 = V964111. assign V356752 = V429500 + 1. assign V210840 = V837041. assign V346151 = V773835 + 1. assign V230934 = V277571 + 1. assign V022236 = V241449 - 1. assign V933775 = V286334. assign V837041 = V241449 + 1. assign V099776 = V933775 - 1. assign V014398 = V277571. assign V200837 = V633752 - 1. assign V013869 = V531895. assign V985443 = V767251. assign V836116 = V905522 - 1. assign V673022 = V438919 + 1. assign V773835 = V675940 - 1. assign V184510 = V154804 - 1. assign V220120 = V857009. assign V314615 = V429500 - 1. assign V042073 = V933775 + 1. assign V225303 = V633752 + 1. assign V412021 = V734300 + 1. assign V102470 = V792426 + 1. assign V857009 = V567959. assign V873503 = V767251 - 1. assign V241449 = V792426 - 1. assign V788326 = V587094 + 1. assign V938791 = V123315 + 1. assign V767251 = V210840 - 1. assign V286334 = V531895. assign V587094 = V397572 - 1. assign V154804 = V587094. assign V675940 = V225303. assign V996907 = V788326 + 1. assign V429500 = V662877 + 1. assign V070717 = V200837 - 1. assign V154357 = V933775. assign V165098 = V241449 - 1. assign V826900 = V241449 - 1. assign V042513 = V938791 - 1. assign V024898 = V413265. assign V123315 = V200837. assign V548115 = V746333 - 1. assign V905522 = V220316 + 1. assign V331864 = V423197 - 1. assign V413265 = V123315 + 1. assign V097923 = V567959 + 1. assign V506980 = V314615 - 1. assign V923628 = V123315. assign V423197 = V397572 - 1. assign V964111 = V241449 + 1. assign V734300 = V826900 - 1. assign V531895 = V241449 - 1. assign V567959 = V241449 + 1. assign V528540 = V397572. assign V222578 = V567959. assign V639703 = V734300 - 1. assign V019201 = V184510 + 1. assign V455082 = V286334 + 1. assign V573163 = V905522 + 1. assign V004459 = V639703 - 1. assign V651671 = V904152 + 1. assign V655011 = V639703. assign V957793 = V857009 - 1. assign V920675 = V567959 + 1. assign V164928 = V633752 + 1. assign V438919 = V767251 + 1. assign V618948 = V531895. assign V275097 = V531895 + 1. assign V633752 = V792426 + 1. assign V858919 = V792426. assign V220316 = V964111 + 1. assign V490767 = V905522. assign V397572 = V241449. assign V746333 = V429500 + 1. assign V142614 = V184510. assign V093859 = V241449. assign V240136 = V346151 + 1. assign V120314 = V097923. assign V662877 = V154804 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV904152 = 1;\n\nFrom these direct assignment(s), we have: \nV651671 = V904152 + 1 = 1 + 1 =2;\nNo other variables can be derived from V651671;\nNo other variables can be derived from V904152;\n\nNow we have done all the calculations. Derived variables are:\nV904152 = 1;\nV651671 = 2;\n\nNow we have finished this problem. ANSWER:\nV651671\n", "role": "assistant" } ]

[ "V154300" ]

[ { "content": "<context>\nassign V273504 = V627319 - 1. assign V540804 = V986116. assign V698697 = V076356 + 1. assign V173539 = V062850 - 1. assign V497438 = V662992 + 1. assign V542271 = V249170 + 1. assign V562569 = V510287. assign V539821 = V675165 + 1. assign V875863 = V895693 - 1. assign V251755 = V542271 + 1. assign V115011 = V946583 - 1. assign V598391 = V103834 + 1. assign V076356 = V506688 + 1. assign V361265 = V698697 - 1. assign V571014 = V778801 - 1. assign V366715 = V539229 - 1. assign V250315 = V249170. assign V778801 = V103834 + 1. assign V254699 = V946583 + 1. assign V997738 = V598391. assign V968907 = V608619 - 1. assign V630670 = V091199 + 1. assign V627319 = V249170. assign V951002 = V115011. assign V086508 = V608619 + 1. assign V350271 = V075251 + 1. assign V284488 = V170765. assign V134912 = V086508 - 1. assign V623605 = V946583 - 1. assign V209098 = V506688 + 1. assign V506688 = V675165 - 1. assign V895693 = V870032 + 1. assign V662992 = V471704. assign V488634 = V510287 + 1. assign V725703 = V134912. assign V919266 = V446414 - 1. assign V472354 = V067893 + 1. assign V847954 = V951002 - 1. assign V595637 = V540804. assign V986116 = V103834. assign V586764 = V103834 + 1. assign V539229 = V471704 + 1. assign V866153 = V976963 - 1. assign V462993 = V072104 - 1. assign V602681 = V598391. assign V932886 = V778801. assign V072104 = V627319 + 1. assign V117362 = V350271 + 1. assign V227421 = V608619 + 1. assign V204851 = V562569. assign V365864 = V608619 - 1. assign V264449 = V488634. assign V675165 = V249170. assign V529972 = V154300 + 1. assign V075251 = V630670 - 1. assign V454909 = V506688 + 1. assign V446414 = V072104 - 1. assign V154300 = 6. assign V140044 = V091199 - 1. assign V951213 = V115011 - 1. assign V382688 = V516358 - 1. assign V754771 = V870032. assign V091199 = V608619. assign V510287 = V870032 + 1. assign V870032 = V103834 - 1. assign V488408 = V623605 - 1. assign V062850 = V067893 + 1. assign V516358 = V209098 - 1. assign V515150 = V778801. assign V283951 = V706915 + 1. assign V798534 = V598391. assign V574299 = V778801 + 1. assign V471704 = V103834 + 1. assign V665023 = V140044 + 1. assign V815540 = V516358 - 1. assign V946583 = V976963. assign V067893 = V103834. assign V170765 = V627319 - 1. assign V249170 = V976963 - 1. assign V608619 = V103834. assign V136031 = V227421. assign V213784 = V462993. assign V340817 = V562569 - 1. assign V976963 = V103834 + 1. assign V706915 = V997738. assign V955452 = V875863 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V273504 = V627319 - 1. assign V540804 = V986116. assign V698697 = V076356 + 1. assign V173539 = V062850 - 1. assign V497438 = V662992 + 1. assign V542271 = V249170 + 1. assign V562569 = V510287. assign V539821 = V675165 + 1. assign V875863 = V895693 - 1. assign V251755 = V542271 + 1. assign V115011 = V946583 - 1. assign V598391 = V103834 + 1. assign V076356 = V506688 + 1. assign V361265 = V698697 - 1. assign V571014 = V778801 - 1. assign V366715 = V539229 - 1. assign V250315 = V249170. assign V778801 = V103834 + 1. assign V254699 = V946583 + 1. assign V997738 = V598391. assign V968907 = V608619 - 1. assign V630670 = V091199 + 1. assign V627319 = V249170. assign V951002 = V115011. assign V086508 = V608619 + 1. assign V350271 = V075251 + 1. assign V284488 = V170765. assign V134912 = V086508 - 1. assign V623605 = V946583 - 1. assign V209098 = V506688 + 1. assign V506688 = V675165 - 1. assign V895693 = V870032 + 1. assign V662992 = V471704. assign V488634 = V510287 + 1. assign V725703 = V134912. assign V919266 = V446414 - 1. assign V472354 = V067893 + 1. assign V847954 = V951002 - 1. assign V595637 = V540804. assign V986116 = V103834. assign V586764 = V103834 + 1. assign V539229 = V471704 + 1. assign V866153 = V976963 - 1. assign V462993 = V072104 - 1. assign V602681 = V598391. assign V932886 = V778801. assign V072104 = V627319 + 1. assign V117362 = V350271 + 1. assign V227421 = V608619 + 1. assign V204851 = V562569. assign V365864 = V608619 - 1. assign V264449 = V488634. assign V675165 = V249170. assign V529972 = V154300 + 1. assign V075251 = V630670 - 1. assign V454909 = V506688 + 1. assign V446414 = V072104 - 1. assign V154300 = 6. assign V140044 = V091199 - 1. assign V951213 = V115011 - 1. assign V382688 = V516358 - 1. assign V754771 = V870032. assign V091199 = V608619. assign V510287 = V870032 + 1. assign V870032 = V103834 - 1. assign V488408 = V623605 - 1. assign V062850 = V067893 + 1. assign V516358 = V209098 - 1. assign V515150 = V778801. assign V283951 = V706915 + 1. assign V798534 = V598391. assign V574299 = V778801 + 1. assign V471704 = V103834 + 1. assign V665023 = V140044 + 1. assign V815540 = V516358 - 1. assign V946583 = V976963. assign V067893 = V103834. assign V170765 = V627319 - 1. assign V249170 = V976963 - 1. assign V608619 = V103834. assign V136031 = V227421. assign V213784 = V462993. assign V340817 = V562569 - 1. assign V976963 = V103834 + 1. assign V706915 = V997738. assign V955452 = V875863 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV154300 = 6;\n\nFrom these direct assignment(s), we have: \nV529972 = V154300 + 1 = 6 + 1 =7;\nNo other variables can be derived from V529972;\nNo other variables can be derived from V154300;\n\nNow we have done all the calculations. Derived variables are:\nV154300 = 6;\nV529972 = 7;\n\nNow we have finished this problem. ANSWER:\nV154300\n", "role": "assistant" } ]

[ "V266018", "V362010" ]

[ { "content": "<context>\nassign V547991 = V615550. assign V300177 = V556300. assign V208640 = V580880 - 1. assign V489959 = V115542. assign V206216 = V872919 - 1. assign V890055 = V574228. assign V256371 = V208640. assign V894795 = V145188 - 1. assign V092938 = V332847 - 1. assign V556300 = V609536. assign V716766 = V519451 - 1. assign V598902 = V722964 + 1. assign V149438 = V686056 - 1. assign V580880 = V092938. assign V771166 = V952416 + 1. assign V723915 = V092938 + 1. assign V363406 = V574256 - 1. assign V744453 = V936454 + 1. assign V109197 = V867780. assign V883396 = V609536 + 1. assign V581282 = V582192. assign V864445 = V109197 + 1. assign V283645 = V286892 - 1. assign V519451 = V686056. assign V006947 = V093481 + 1. assign V145188 = V402587 - 1. assign V615550 = V668304. assign V562403 = V556300 - 1. assign V092365 = V582192 + 1. assign V722964 = V092938 + 1. assign V052414 = V489959. assign V303017 = V577638 + 1. assign V326429 = V092938 - 1. assign V936454 = V115542 - 1. assign V989490 = V326429 - 1. assign V574256 = V615550 + 1. assign V896904 = V595948 - 1. assign V609536 = V901429 + 1. assign V713822 = V668304 + 1. assign V182493 = V562403 + 1. assign V638330 = V615550 - 1. assign V817753 = V581282 + 1. assign V502449 = V145188 + 1. assign V238416 = V463941. assign V295054 = V896904 + 1. assign V749585 = V574228 + 1. assign V463941 = V668304. assign V206082 = V834700 - 1. assign V115542 = V332847 - 1. assign V045811 = V052414 - 1. assign V423597 = V372685 + 1. assign V916335 = V759011 - 1. assign V372685 = V332847. assign V266018 = 9. assign V164951 = V901429 - 1. assign V269681 = V092938 - 1. assign V595948 = V872919 + 1. assign V582192 = V609536. assign V376335 = V283645 + 1. assign V362010 = V266018. assign V163072 = V867780 - 1. assign V028185 = V326429 + 1. assign V759011 = V668304. assign V459602 = V019837 - 1. assign V577638 = V092365. assign V686056 = V834700. assign V482237 = V764397. assign V332847 = V952416. assign V901429 = V952416 - 1. assign V668304 = V936454 - 1. assign V956245 = V206082 - 1. assign V829988 = V206082 - 1. assign V838455 = V295054. assign V867780 = V901429 - 1. assign V764397 = V582192 - 1. assign V872783 = V264290. assign V402587 = V574228 + 1. assign V019837 = V092938 + 1. assign V834700 = V901429. assign V725162 = V164951 - 1. assign V264290 = V834700 - 1. assign V286892 = V093481 + 1. assign V335763 = V149438. assign V872919 = V115542 + 1. assign V574228 = V092938 - 1. assign V093481 = V936454 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V547991 = V615550. assign V300177 = V556300. assign V208640 = V580880 - 1. assign V489959 = V115542. assign V206216 = V872919 - 1. assign V890055 = V574228. assign V256371 = V208640. assign V894795 = V145188 - 1. assign V092938 = V332847 - 1. assign V556300 = V609536. assign V716766 = V519451 - 1. assign V598902 = V722964 + 1. assign V149438 = V686056 - 1. assign V580880 = V092938. assign V771166 = V952416 + 1. assign V723915 = V092938 + 1. assign V363406 = V574256 - 1. assign V744453 = V936454 + 1. assign V109197 = V867780. assign V883396 = V609536 + 1. assign V581282 = V582192. assign V864445 = V109197 + 1. assign V283645 = V286892 - 1. assign V519451 = V686056. assign V006947 = V093481 + 1. assign V145188 = V402587 - 1. assign V615550 = V668304. assign V562403 = V556300 - 1. assign V092365 = V582192 + 1. assign V722964 = V092938 + 1. assign V052414 = V489959. assign V303017 = V577638 + 1. assign V326429 = V092938 - 1. assign V936454 = V115542 - 1. assign V989490 = V326429 - 1. assign V574256 = V615550 + 1. assign V896904 = V595948 - 1. assign V609536 = V901429 + 1. assign V713822 = V668304 + 1. assign V182493 = V562403 + 1. assign V638330 = V615550 - 1. assign V817753 = V581282 + 1. assign V502449 = V145188 + 1. assign V238416 = V463941. assign V295054 = V896904 + 1. assign V749585 = V574228 + 1. assign V463941 = V668304. assign V206082 = V834700 - 1. assign V115542 = V332847 - 1. assign V045811 = V052414 - 1. assign V423597 = V372685 + 1. assign V916335 = V759011 - 1. assign V372685 = V332847. assign V266018 = 9. assign V164951 = V901429 - 1. assign V269681 = V092938 - 1. assign V595948 = V872919 + 1. assign V582192 = V609536. assign V376335 = V283645 + 1. assign V362010 = V266018. assign V163072 = V867780 - 1. assign V028185 = V326429 + 1. assign V759011 = V668304. assign V459602 = V019837 - 1. assign V577638 = V092365. assign V686056 = V834700. assign V482237 = V764397. assign V332847 = V952416. assign V901429 = V952416 - 1. assign V668304 = V936454 - 1. assign V956245 = V206082 - 1. assign V829988 = V206082 - 1. assign V838455 = V295054. assign V867780 = V901429 - 1. assign V764397 = V582192 - 1. assign V872783 = V264290. assign V402587 = V574228 + 1. assign V019837 = V092938 + 1. assign V834700 = V901429. assign V725162 = V164951 - 1. assign V264290 = V834700 - 1. assign V286892 = V093481 + 1. assign V335763 = V149438. assign V872919 = V115542 + 1. assign V574228 = V092938 - 1. assign V093481 = V936454 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV266018 = 9;\n\nFrom these direct assignment(s), we have: \nV362010 = V266018 = 9;\nNo other variables can be derived from V362010;\nNo other variables can be derived from V266018;\n\nNow we have done all the calculations. Derived variables are:\nV266018 = 9;\nV362010 = 9;\n\nNow we have finished this problem. ANSWER:\nV266018, V362010\n", "role": "assistant" } ]

[ "V495821" ]

[ { "content": "<context>\nassign V313060 = V886095 - 1. assign V852269 = V839369 - 1. assign V528906 = V001691 - 1. assign V226323 = V495821 - 1. assign V280260 = V312447 + 1. assign V169214 = V302813 - 1. assign V616082 = V227088. assign V124489 = V972705 - 1. assign V271882 = V226007 + 1. assign V179591 = V667210 - 1. assign V587884 = V994880 + 1. assign V462187 = V933874. assign V160893 = V661150 + 1. assign V330976 = V593461 + 1. assign V164192 = V528906 - 1. assign V176195 = V987834 + 1. assign V312447 = V680205 - 1. assign V698332 = V074993. assign V684150 = V126516. assign V135468 = V153627 + 1. assign V517859 = V911842. assign V074993 = V454729 + 1. assign V001691 = V355792 - 1. assign V153627 = V355792. assign V495821 = 10. assign V935594 = V271882 + 1. assign V569498 = V528906. assign V427441 = V608719 - 1. assign V325154 = V239679 - 1. assign V026727 = V266356. assign V500814 = V569498 + 1. assign V511779 = V933874 - 1. assign V241652 = V864422 - 1. assign V897482 = V001691 + 1. assign V464865 = V241652. assign V611319 = V593461 + 1. assign V761033 = V462187. assign V938989 = V462187. assign V690477 = V325119 + 1. assign V230236 = V699509 - 1. assign V593461 = V239679. assign V355792 = V302813 + 1. assign V227088 = V680205. assign V818416 = V587884 + 1. assign V498805 = V987834. assign V147297 = V705327 + 1. assign V994880 = V593461 - 1. assign V886095 = V153627 + 1. assign V241701 = V325119 + 1. assign V070525 = V302813 - 1. assign V454729 = V325119 - 1. assign V054350 = V330976 + 1. assign V980077 = V164192 - 1. assign V406672 = V330976. assign V185436 = V239679 - 1. assign V526104 = V054350. assign V761123 = V498805 - 1. assign V661150 = V074993 + 1. assign V911842 = V302813 - 1. assign V839369 = V153627 - 1. assign V586737 = V699509 + 1. assign V699509 = V839369. assign V325119 = V302813 + 1. assign V042920 = V241652. assign V126516 = V454729 - 1. assign V342889 = V054350 + 1. assign V902781 = V330976 - 1. assign V226007 = V761033 - 1. assign V266356 = V160893 + 1. assign V608719 = V517859 - 1. assign V239679 = V462187 + 1. assign V680205 = V325119 + 1. assign V136294 = V330976 - 1. assign V276303 = V239679. assign V767196 = V185436. assign V254082 = V528906 + 1. assign V667210 = V001691 + 1. assign V705327 = V325154. assign V987834 = V153627 - 1. assign V933874 = V911842 - 1. assign V325863 = V938989. assign V089654 = V042920 - 1. assign V012360 = V454729. assign V864422 = V302813. assign V972705 = V241652. assign V944353 = V500814 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V313060 = V886095 - 1. assign V852269 = V839369 - 1. assign V528906 = V001691 - 1. assign V226323 = V495821 - 1. assign V280260 = V312447 + 1. assign V169214 = V302813 - 1. assign V616082 = V227088. assign V124489 = V972705 - 1. assign V271882 = V226007 + 1. assign V179591 = V667210 - 1. assign V587884 = V994880 + 1. assign V462187 = V933874. assign V160893 = V661150 + 1. assign V330976 = V593461 + 1. assign V164192 = V528906 - 1. assign V176195 = V987834 + 1. assign V312447 = V680205 - 1. assign V698332 = V074993. assign V684150 = V126516. assign V135468 = V153627 + 1. assign V517859 = V911842. assign V074993 = V454729 + 1. assign V001691 = V355792 - 1. assign V153627 = V355792. assign V495821 = 10. assign V935594 = V271882 + 1. assign V569498 = V528906. assign V427441 = V608719 - 1. assign V325154 = V239679 - 1. assign V026727 = V266356. assign V500814 = V569498 + 1. assign V511779 = V933874 - 1. assign V241652 = V864422 - 1. assign V897482 = V001691 + 1. assign V464865 = V241652. assign V611319 = V593461 + 1. assign V761033 = V462187. assign V938989 = V462187. assign V690477 = V325119 + 1. assign V230236 = V699509 - 1. assign V593461 = V239679. assign V355792 = V302813 + 1. assign V227088 = V680205. assign V818416 = V587884 + 1. assign V498805 = V987834. assign V147297 = V705327 + 1. assign V994880 = V593461 - 1. assign V886095 = V153627 + 1. assign V241701 = V325119 + 1. assign V070525 = V302813 - 1. assign V454729 = V325119 - 1. assign V054350 = V330976 + 1. assign V980077 = V164192 - 1. assign V406672 = V330976. assign V185436 = V239679 - 1. assign V526104 = V054350. assign V761123 = V498805 - 1. assign V661150 = V074993 + 1. assign V911842 = V302813 - 1. assign V839369 = V153627 - 1. assign V586737 = V699509 + 1. assign V699509 = V839369. assign V325119 = V302813 + 1. assign V042920 = V241652. assign V126516 = V454729 - 1. assign V342889 = V054350 + 1. assign V902781 = V330976 - 1. assign V226007 = V761033 - 1. assign V266356 = V160893 + 1. assign V608719 = V517859 - 1. assign V239679 = V462187 + 1. assign V680205 = V325119 + 1. assign V136294 = V330976 - 1. assign V276303 = V239679. assign V767196 = V185436. assign V254082 = V528906 + 1. assign V667210 = V001691 + 1. assign V705327 = V325154. assign V987834 = V153627 - 1. assign V933874 = V911842 - 1. assign V325863 = V938989. assign V089654 = V042920 - 1. assign V012360 = V454729. assign V864422 = V302813. assign V972705 = V241652. assign V944353 = V500814 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV495821 = 10;\n\nFrom these direct assignment(s), we have: \nV226323 = V495821 - 1 = 10 - 1 =9;\nNo other variables can be derived from V226323;\nNo other variables can be derived from V495821;\n\nNow we have done all the calculations. Derived variables are:\nV495821 = 10;\nV226323 = 9;\n\nNow we have finished this problem. ANSWER:\nV495821\n", "role": "assistant" } ]

[ "V931194" ]

[ { "content": "<context>\nassign V847034 = V255999 + 1. assign V633729 = 9. assign V364551 = V099397 - 1. assign V642034 = V658545 - 1. assign V978552 = V595392. assign V212540 = V550142 - 1. assign V658545 = V653991 - 1. assign V817599 = V450457 - 1. assign V117873 = V807924 - 1. assign V944935 = V361063 - 1. assign V099397 = V019935. assign V694090 = V829545. assign V637246 = V786580. assign V546758 = V843447. assign V653991 = V569944 - 1. assign V807924 = V569944. assign V455428 = V843447 - 1. assign V081519 = V694090 - 1. assign V378907 = V106456 - 1. assign V899041 = V569944. assign V378566 = V212095 + 1. assign V207682 = V019935 + 1. assign V828415 = V843447 - 1. assign V193368 = V462101 - 1. assign V786580 = V807924 - 1. assign V342418 = V572322 + 1. assign V772603 = V364551. assign V017771 = V659863 - 1. assign V059834 = V222860. assign V872338 = V847034. assign V019935 = V450457 - 1. assign V229571 = V978552. assign V569944 = V212095 - 1. assign V769791 = V395802 + 1. assign V337430 = V378566. assign V353773 = V843447 + 1. assign V483120 = V378566 - 1. assign V426270 = V653991. assign V611538 = V099397 + 1. assign V595392 = V829545 + 1. assign V849314 = V569944 - 1. assign V084851 = V353773. assign V395802 = V658545 + 1. assign V095686 = V337430 - 1. assign V450457 = V106456 + 1. assign V925539 = V106456. assign V579326 = V361063 + 1. assign V106456 = V569944 - 1. assign V256111 = V000324 + 1. assign V843447 = V572322 - 1. assign V222860 = V849314. assign V993831 = V456654. assign V394431 = V462101 - 1. assign V100629 = V046128 + 1. assign V255999 = V843447 - 1. assign V456654 = V539341 + 1. assign V829545 = V212095. assign V127400 = V978552. assign V300441 = V019935 - 1. assign V463947 = V395802 + 1. assign V146933 = V456654 - 1. assign V735622 = V658545. assign V361063 = V931248 - 1. assign V983484 = V817599. assign V550142 = V653991 + 1. assign V686848 = V378566 - 1. assign V539341 = V572322. assign V659863 = V450457 - 1. assign V358389 = V659863 + 1. assign V288769 = V212095 + 1. assign V836491 = V456654. assign V024470 = V944935. assign V000324 = V539341 - 1. assign V632147 = V095686 - 1. assign V572322 = V829545 + 1. assign V671684 = V212095 + 1. assign V582046 = V106456 + 1. assign V561716 = V686848. assign V462101 = V358389 - 1. assign V046128 = V539341 + 1. assign V568532 = V084851. assign V370680 = V659863. assign V357592 = V944935 + 1. assign V931248 = V843447. assign V259723 = V395802. assign V931194 = V633729 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V847034 = V255999 + 1. assign V633729 = 9. assign V364551 = V099397 - 1. assign V642034 = V658545 - 1. assign V978552 = V595392. assign V212540 = V550142 - 1. assign V658545 = V653991 - 1. assign V817599 = V450457 - 1. assign V117873 = V807924 - 1. assign V944935 = V361063 - 1. assign V099397 = V019935. assign V694090 = V829545. assign V637246 = V786580. assign V546758 = V843447. assign V653991 = V569944 - 1. assign V807924 = V569944. assign V455428 = V843447 - 1. assign V081519 = V694090 - 1. assign V378907 = V106456 - 1. assign V899041 = V569944. assign V378566 = V212095 + 1. assign V207682 = V019935 + 1. assign V828415 = V843447 - 1. assign V193368 = V462101 - 1. assign V786580 = V807924 - 1. assign V342418 = V572322 + 1. assign V772603 = V364551. assign V017771 = V659863 - 1. assign V059834 = V222860. assign V872338 = V847034. assign V019935 = V450457 - 1. assign V229571 = V978552. assign V569944 = V212095 - 1. assign V769791 = V395802 + 1. assign V337430 = V378566. assign V353773 = V843447 + 1. assign V483120 = V378566 - 1. assign V426270 = V653991. assign V611538 = V099397 + 1. assign V595392 = V829545 + 1. assign V849314 = V569944 - 1. assign V084851 = V353773. assign V395802 = V658545 + 1. assign V095686 = V337430 - 1. assign V450457 = V106456 + 1. assign V925539 = V106456. assign V579326 = V361063 + 1. assign V106456 = V569944 - 1. assign V256111 = V000324 + 1. assign V843447 = V572322 - 1. assign V222860 = V849314. assign V993831 = V456654. assign V394431 = V462101 - 1. assign V100629 = V046128 + 1. assign V255999 = V843447 - 1. assign V456654 = V539341 + 1. assign V829545 = V212095. assign V127400 = V978552. assign V300441 = V019935 - 1. assign V463947 = V395802 + 1. assign V146933 = V456654 - 1. assign V735622 = V658545. assign V361063 = V931248 - 1. assign V983484 = V817599. assign V550142 = V653991 + 1. assign V686848 = V378566 - 1. assign V539341 = V572322. assign V659863 = V450457 - 1. assign V358389 = V659863 + 1. assign V288769 = V212095 + 1. assign V836491 = V456654. assign V024470 = V944935. assign V000324 = V539341 - 1. assign V632147 = V095686 - 1. assign V572322 = V829545 + 1. assign V671684 = V212095 + 1. assign V582046 = V106456 + 1. assign V561716 = V686848. assign V462101 = V358389 - 1. assign V046128 = V539341 + 1. assign V568532 = V084851. assign V370680 = V659863. assign V357592 = V944935 + 1. assign V931248 = V843447. assign V259723 = V395802. assign V931194 = V633729 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV633729 = 9;\n\nFrom these direct assignment(s), we have: \nV931194 = V633729 - 1 = 9 - 1 =8;\nNo other variables can be derived from V931194;\nNo other variables can be derived from V633729;\n\nNow we have done all the calculations. Derived variables are:\nV633729 = 9;\nV931194 = 8;\n\nNow we have finished this problem. ANSWER:\nV931194\n", "role": "assistant" } ]

[ "V768868" ]

[ { "content": "<context>\nassign V096187 = V733751 + 1. assign V958506 = V284277 + 1. assign V664234 = V025127 - 1. assign V982466 = V315100 - 1. assign V491578 = V958506 - 1. assign V778280 = V648060 - 1. assign V712808 = V171295. assign V640719 = V949167 + 1. assign V012460 = V958506 + 1. assign V345247 = V327577. assign V733751 = V926169 + 1. assign V150204 = V008397 - 1. assign V634132 = V287528. assign V545443 = V768868 - 1. assign V952716 = V171295. assign V089677 = V386231 + 1. assign V928997 = V877971 - 1. assign V862575 = V830143 + 1. assign V491496 = V664234 + 1. assign V877971 = V520826 + 1. assign V109006 = V664234 - 1. assign V853744 = V733428 - 1. assign V006213 = V665954 - 1. assign V975603 = V926169 + 1. assign V113773 = V425496. assign V772317 = V733428. assign V363521 = V327577 - 1. assign V730202 = V066917. assign V140446 = V650391 + 1. assign V531645 = V733428 + 1. assign V665954 = V167383. assign V696592 = V150204. assign V143282 = V877971 + 1. assign V167383 = V650391. assign V171295 = V025127 + 1. assign V025127 = V293397 - 1. assign V293397 = V778280 - 1. assign V631153 = V648060 - 1. assign V138589 = V096187 - 1. assign V222713 = V730202. assign V888436 = V109006. assign V327577 = V778280 + 1. assign V489074 = V712808 - 1. assign V650391 = V025127 + 1. assign V254393 = V025127. assign V752242 = V025127. assign V971732 = V733428 + 1. assign V515321 = V171295. assign V347424 = V096187 + 1. assign V425496 = V726807 + 1. assign V419851 = V778280 + 1. assign V520826 = V287528 - 1. assign V686220 = V958506 - 1. assign V349908 = V171295 - 1. assign V673269 = V287528. assign V287528 = V958506. assign V008397 = V946737 - 1. assign V662838 = V150204 + 1. assign V768868 = 6. assign V733428 = V975603 + 1. assign V559280 = V971732 + 1. assign V531328 = V928997. assign V726807 = V830143. assign V057586 = V066917 - 1. assign V127741 = V491578 + 1. assign V926169 = V778280 + 1. assign V284277 = V327577 - 1. assign V386231 = V109006 + 1. assign V978209 = V431544 + 1. assign V448655 = V520826. assign V830143 = V648060. assign V545524 = V448655 - 1. assign V431544 = V682026 + 1. assign V953678 = V012460 - 1. assign V523982 = V363521. assign V467050 = V953678 + 1. assign V946737 = V650391 + 1. assign V795715 = V631153 + 1. assign V262603 = V222713 + 1. assign V066917 = V631153. assign V336184 = V929115 + 1. assign V682026 = V795715. assign V949167 = V733428. assign V365720 = V958506 - 1. assign V315100 = V327577 + 1. assign V929115 = V730202 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V096187 = V733751 + 1. assign V958506 = V284277 + 1. assign V664234 = V025127 - 1. assign V982466 = V315100 - 1. assign V491578 = V958506 - 1. assign V778280 = V648060 - 1. assign V712808 = V171295. assign V640719 = V949167 + 1. assign V012460 = V958506 + 1. assign V345247 = V327577. assign V733751 = V926169 + 1. assign V150204 = V008397 - 1. assign V634132 = V287528. assign V545443 = V768868 - 1. assign V952716 = V171295. assign V089677 = V386231 + 1. assign V928997 = V877971 - 1. assign V862575 = V830143 + 1. assign V491496 = V664234 + 1. assign V877971 = V520826 + 1. assign V109006 = V664234 - 1. assign V853744 = V733428 - 1. assign V006213 = V665954 - 1. assign V975603 = V926169 + 1. assign V113773 = V425496. assign V772317 = V733428. assign V363521 = V327577 - 1. assign V730202 = V066917. assign V140446 = V650391 + 1. assign V531645 = V733428 + 1. assign V665954 = V167383. assign V696592 = V150204. assign V143282 = V877971 + 1. assign V167383 = V650391. assign V171295 = V025127 + 1. assign V025127 = V293397 - 1. assign V293397 = V778280 - 1. assign V631153 = V648060 - 1. assign V138589 = V096187 - 1. assign V222713 = V730202. assign V888436 = V109006. assign V327577 = V778280 + 1. assign V489074 = V712808 - 1. assign V650391 = V025127 + 1. assign V254393 = V025127. assign V752242 = V025127. assign V971732 = V733428 + 1. assign V515321 = V171295. assign V347424 = V096187 + 1. assign V425496 = V726807 + 1. assign V419851 = V778280 + 1. assign V520826 = V287528 - 1. assign V686220 = V958506 - 1. assign V349908 = V171295 - 1. assign V673269 = V287528. assign V287528 = V958506. assign V008397 = V946737 - 1. assign V662838 = V150204 + 1. assign V768868 = 6. assign V733428 = V975603 + 1. assign V559280 = V971732 + 1. assign V531328 = V928997. assign V726807 = V830143. assign V057586 = V066917 - 1. assign V127741 = V491578 + 1. assign V926169 = V778280 + 1. assign V284277 = V327577 - 1. assign V386231 = V109006 + 1. assign V978209 = V431544 + 1. assign V448655 = V520826. assign V830143 = V648060. assign V545524 = V448655 - 1. assign V431544 = V682026 + 1. assign V953678 = V012460 - 1. assign V523982 = V363521. assign V467050 = V953678 + 1. assign V946737 = V650391 + 1. assign V795715 = V631153 + 1. assign V262603 = V222713 + 1. assign V066917 = V631153. assign V336184 = V929115 + 1. assign V682026 = V795715. assign V949167 = V733428. assign V365720 = V958506 - 1. assign V315100 = V327577 + 1. assign V929115 = V730202 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV768868 = 6;\n\nFrom these direct assignment(s), we have: \nV545443 = V768868 - 1 = 6 - 1 =5;\nNo other variables can be derived from V545443;\nNo other variables can be derived from V768868;\n\nNow we have done all the calculations. Derived variables are:\nV768868 = 6;\nV545443 = 5;\n\nNow we have finished this problem. ANSWER:\nV768868\n", "role": "assistant" } ]

[ "V317092", "V265792" ]

[ { "content": "<context>\nassign V377305 = V845520 + 1. assign V604379 = V845520. assign V264499 = V541499. assign V900606 = V027340. assign V670001 = V699472 - 1. assign V932537 = V954125 + 1. assign V541499 = V900606. assign V954125 = V302475 + 1. assign V623937 = V119564 - 1. assign V317092 = 8. assign V470366 = V834024. assign V043535 = V366930 + 1. assign V516145 = V027340 + 1. assign V379246 = V111107 - 1. assign V374004 = V267242 + 1. assign V266982 = V159169 + 1. assign V124812 = V186946 - 1. assign V047821 = V661678 + 1. assign V119564 = V900606. assign V711061 = V013744 + 1. assign V611869 = V315724 - 1. assign V105971 = V315724. assign V162151 = V159169. assign V851329 = V267242 - 1. assign V615225 = V195398 - 1. assign V242370 = V954125 - 1. assign V375438 = V119564 + 1. assign V608701 = V302475 - 1. assign V171888 = V080836. assign V159169 = V264499 + 1. assign V111107 = V377305 + 1. assign V103081 = V744308 - 1. assign V588483 = V377305 + 1. assign V699472 = V660968 + 1. assign V267242 = V119564 - 1. assign V909424 = V027340. assign V366930 = V315724 - 1. assign V744308 = V541499 + 1. assign V082408 = V991402 - 1. assign V660968 = V107108 + 1. assign V919672 = V615225 - 1. assign V186946 = V295559 - 1. assign V027340 = V302475 - 1. assign V962135 = V611869 + 1. assign V473198 = V119564 - 1. assign V007851 = V195398 + 1. assign V265792 = V317092. assign V934631 = V609895. assign V375041 = V080836 + 1. assign V145633 = V919672 - 1. assign V719441 = V195398. assign V905943 = V242370 + 1. assign V195398 = V954125 - 1. assign V957433 = V623937. assign V051613 = V375041 + 1. assign V834024 = V302475 - 1. assign V410559 = V919672. assign V991402 = V919672 + 1. assign V124406 = V047821. assign V387043 = V815100 - 1. assign V315724 = V119564. assign V279494 = V103081. assign V661678 = V588483 - 1. assign V135498 = V611869 - 1. assign V803380 = V973483 + 1. assign V295559 = V315724. assign V620573 = V374004 - 1. assign V949319 = V195398 - 1. assign V609895 = V919672 + 1. assign V923595 = V615225. assign V179606 = V295633 + 1. assign V729572 = V957433. assign V465651 = V815100. assign V089674 = V186946. assign V644119 = V919672 - 1. assign V615034 = V375041 - 1. assign V815100 = V107108. assign V295633 = V588483 - 1. assign V925142 = V541499 - 1. assign V030181 = V027340 + 1. assign V235259 = V264499. assign V107108 = V954125 + 1. assign V845520 = V030181 + 1. assign V080836 = V195398. assign V973483 = V954125. assign V013744 = V195398 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V377305 = V845520 + 1. assign V604379 = V845520. assign V264499 = V541499. assign V900606 = V027340. assign V670001 = V699472 - 1. assign V932537 = V954125 + 1. assign V541499 = V900606. assign V954125 = V302475 + 1. assign V623937 = V119564 - 1. assign V317092 = 8. assign V470366 = V834024. assign V043535 = V366930 + 1. assign V516145 = V027340 + 1. assign V379246 = V111107 - 1. assign V374004 = V267242 + 1. assign V266982 = V159169 + 1. assign V124812 = V186946 - 1. assign V047821 = V661678 + 1. assign V119564 = V900606. assign V711061 = V013744 + 1. assign V611869 = V315724 - 1. assign V105971 = V315724. assign V162151 = V159169. assign V851329 = V267242 - 1. assign V615225 = V195398 - 1. assign V242370 = V954125 - 1. assign V375438 = V119564 + 1. assign V608701 = V302475 - 1. assign V171888 = V080836. assign V159169 = V264499 + 1. assign V111107 = V377305 + 1. assign V103081 = V744308 - 1. assign V588483 = V377305 + 1. assign V699472 = V660968 + 1. assign V267242 = V119564 - 1. assign V909424 = V027340. assign V366930 = V315724 - 1. assign V744308 = V541499 + 1. assign V082408 = V991402 - 1. assign V660968 = V107108 + 1. assign V919672 = V615225 - 1. assign V186946 = V295559 - 1. assign V027340 = V302475 - 1. assign V962135 = V611869 + 1. assign V473198 = V119564 - 1. assign V007851 = V195398 + 1. assign V265792 = V317092. assign V934631 = V609895. assign V375041 = V080836 + 1. assign V145633 = V919672 - 1. assign V719441 = V195398. assign V905943 = V242370 + 1. assign V195398 = V954125 - 1. assign V957433 = V623937. assign V051613 = V375041 + 1. assign V834024 = V302475 - 1. assign V410559 = V919672. assign V991402 = V919672 + 1. assign V124406 = V047821. assign V387043 = V815100 - 1. assign V315724 = V119564. assign V279494 = V103081. assign V661678 = V588483 - 1. assign V135498 = V611869 - 1. assign V803380 = V973483 + 1. assign V295559 = V315724. assign V620573 = V374004 - 1. assign V949319 = V195398 - 1. assign V609895 = V919672 + 1. assign V923595 = V615225. assign V179606 = V295633 + 1. assign V729572 = V957433. assign V465651 = V815100. assign V089674 = V186946. assign V644119 = V919672 - 1. assign V615034 = V375041 - 1. assign V815100 = V107108. assign V295633 = V588483 - 1. assign V925142 = V541499 - 1. assign V030181 = V027340 + 1. assign V235259 = V264499. assign V107108 = V954125 + 1. assign V845520 = V030181 + 1. assign V080836 = V195398. assign V973483 = V954125. assign V013744 = V195398 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV317092 = 8;\n\nFrom these direct assignment(s), we have: \nV265792 = V317092 = 8;\nNo other variables can be derived from V265792;\nNo other variables can be derived from V317092;\n\nNow we have done all the calculations. Derived variables are:\nV317092 = 8;\nV265792 = 8;\n\nNow we have finished this problem. ANSWER:\nV317092, V265792\n", "role": "assistant" } ]

[ "V981341" ]

[ { "content": "<context>\nassign V345017 = V366703. assign V126084 = V374117 + 1. assign V303807 = V950897. assign V166119 = V283887 + 1. assign V272542 = V788807. assign V428006 = V035975 + 1. assign V048566 = V002818 - 1. assign V144912 = V697672. assign V148342 = V101838. assign V963623 = V532541 - 1. assign V108233 = V363699. assign V949192 = V428711. assign V925072 = V867843 + 1. assign V728596 = V345017. assign V788807 = V697672 - 1. assign V950897 = V101838 + 1. assign V156368 = V035975. assign V242401 = V217951 + 1. assign V101838 = V035975 + 1. assign V468704 = V363699 + 1. assign V107941 = V788807 - 1. assign V643926 = V690859 + 1. assign V374117 = V016978 + 1. assign V716274 = V532541 - 1. assign V022589 = V893852 + 1. assign V354280 = V374117. assign V894877 = V981341 + 1. assign V301245 = V716274. assign V650377 = V016978. assign V803471 = V982786 + 1. assign V589800 = V048566 + 1. assign V413593 = V144912. assign V167754 = V566143 + 1. assign V016978 = V532541. assign V893852 = V045633 - 1. assign V464717 = V788807 - 1. assign V153594 = V566143 + 1. assign V217951 = V204838 - 1. assign V125739 = V788807 - 1. assign V088082 = V217951. assign V118752 = V677230 - 1. assign V946813 = V893852 + 1. assign V973530 = V153594 - 1. assign V428711 = V818566 + 1. assign V328114 = V217951 + 1. assign V062760 = V108233 - 1. assign V981341 = 0. assign V004227 = V532541. assign V677230 = V788807 + 1. assign V420516 = V818566 + 1. assign V251878 = V403204 - 1. assign V755937 = V412524 + 1. assign V045633 = V217951 + 1. assign V701684 = V125739 - 1. assign V366703 = V412524. assign V239465 = V755937 - 1. assign V363699 = V788807. assign V970368 = V532541 + 1. assign V439052 = V650377 - 1. assign V197946 = V818566 + 1. assign V035975 = V204838 - 1. assign V167127 = V532541 - 1. assign V532541 = V566143. assign V354167 = V004227 + 1. assign V665019 = V650377. assign V566143 = V697672 - 1. assign V183482 = V272542 + 1. assign V867843 = V428711. assign V204838 = V366703. assign V415255 = V048566 + 1. assign V982786 = V197946 + 1. assign V563034 = V413593 + 1. assign V075238 = V354167 + 1. assign V403204 = V412524 - 1. assign V690755 = V242401 - 1. assign V002818 = V204838 - 1. assign V818566 = V366703 - 1. assign V508377 = V893852 + 1. assign V283887 = V650377. assign V134437 = V946813. assign V109947 = V366703 - 1. assign V857328 = V048566. assign V020554 = V167754. assign V690859 = V566143 + 1. assign V979284 = V420516 - 1. assign V412524 = V697672.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V345017 = V366703. assign V126084 = V374117 + 1. assign V303807 = V950897. assign V166119 = V283887 + 1. assign V272542 = V788807. assign V428006 = V035975 + 1. assign V048566 = V002818 - 1. assign V144912 = V697672. assign V148342 = V101838. assign V963623 = V532541 - 1. assign V108233 = V363699. assign V949192 = V428711. assign V925072 = V867843 + 1. assign V728596 = V345017. assign V788807 = V697672 - 1. assign V950897 = V101838 + 1. assign V156368 = V035975. assign V242401 = V217951 + 1. assign V101838 = V035975 + 1. assign V468704 = V363699 + 1. assign V107941 = V788807 - 1. assign V643926 = V690859 + 1. assign V374117 = V016978 + 1. assign V716274 = V532541 - 1. assign V022589 = V893852 + 1. assign V354280 = V374117. assign V894877 = V981341 + 1. assign V301245 = V716274. assign V650377 = V016978. assign V803471 = V982786 + 1. assign V589800 = V048566 + 1. assign V413593 = V144912. assign V167754 = V566143 + 1. assign V016978 = V532541. assign V893852 = V045633 - 1. assign V464717 = V788807 - 1. assign V153594 = V566143 + 1. assign V217951 = V204838 - 1. assign V125739 = V788807 - 1. assign V088082 = V217951. assign V118752 = V677230 - 1. assign V946813 = V893852 + 1. assign V973530 = V153594 - 1. assign V428711 = V818566 + 1. assign V328114 = V217951 + 1. assign V062760 = V108233 - 1. assign V981341 = 0. assign V004227 = V532541. assign V677230 = V788807 + 1. assign V420516 = V818566 + 1. assign V251878 = V403204 - 1. assign V755937 = V412524 + 1. assign V045633 = V217951 + 1. assign V701684 = V125739 - 1. assign V366703 = V412524. assign V239465 = V755937 - 1. assign V363699 = V788807. assign V970368 = V532541 + 1. assign V439052 = V650377 - 1. assign V197946 = V818566 + 1. assign V035975 = V204838 - 1. assign V167127 = V532541 - 1. assign V532541 = V566143. assign V354167 = V004227 + 1. assign V665019 = V650377. assign V566143 = V697672 - 1. assign V183482 = V272542 + 1. assign V867843 = V428711. assign V204838 = V366703. assign V415255 = V048566 + 1. assign V982786 = V197946 + 1. assign V563034 = V413593 + 1. assign V075238 = V354167 + 1. assign V403204 = V412524 - 1. assign V690755 = V242401 - 1. assign V002818 = V204838 - 1. assign V818566 = V366703 - 1. assign V508377 = V893852 + 1. assign V283887 = V650377. assign V134437 = V946813. assign V109947 = V366703 - 1. assign V857328 = V048566. assign V020554 = V167754. assign V690859 = V566143 + 1. assign V979284 = V420516 - 1. assign V412524 = V697672.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV981341 = 0;\n\nFrom these direct assignment(s), we have: \nV894877 = V981341 + 1 = 0 + 1 =1;\nNo other variables can be derived from V894877;\nNo other variables can be derived from V981341;\n\nNow we have done all the calculations. Derived variables are:\nV981341 = 0;\nV894877 = 1;\n\nNow we have finished this problem. ANSWER:\nV981341\n", "role": "assistant" } ]

[ "V456576", "V907372" ]

[ { "content": "<context>\nassign V163050 = V865836 + 1. assign V293211 = V347855. assign V635308 = V898785 - 1. assign V970228 = V105727 - 1. assign V927185 = V714881. assign V405548 = V371484. assign V818784 = V145811 - 1. assign V255144 = V549180. assign V475241 = V635308 - 1. assign V050812 = V314644 + 1. assign V552498 = V371484 + 1. assign V905605 = V155458. assign V872649 = V760451 + 1. assign V275157 = V740744 + 1. assign V349878 = V145811 + 1. assign V347855 = V760451. assign V105727 = V155458 - 1. assign V740744 = V254046. assign V447893 = V567604. assign V717585 = V171899. assign V770063 = V145811 + 1. assign V246455 = V253401 - 1. assign V171899 = V254046 + 1. assign V076131 = V717585 - 1. assign V687189 = V717585 - 1. assign V723255 = V275157. assign V135221 = V898785 + 1. assign V164046 = V905605 - 1. assign V897412 = V872649. assign V995331 = V155458. assign V487801 = V635308. assign V150617 = V246455 - 1. assign V418125 = V864088. assign V204312 = V347855 + 1. assign V119173 = V872649 + 1. assign V449757 = V371484 - 1. assign V546730 = V872649 - 1. assign V155458 = V370719. assign V314644 = V635308 - 1. assign V456576 = 8. assign V253401 = V105727 + 1. assign V714881 = V155458 - 1. assign V439280 = V970228 - 1. assign V027026 = V865836 - 1. assign V796391 = V167482 - 1. assign V878042 = V546730 - 1. assign V938084 = V567604 - 1. assign V145811 = V275157 - 1. assign V907372 = V456576. assign V567604 = V155458 - 1. assign V340711 = V171899. assign V725965 = V370719 - 1. assign V874845 = V105727 + 1. assign V360750 = V135221 + 1. assign V927044 = V865836 - 1. assign V385480 = V725965 - 1. assign V893439 = V717585 + 1. assign V254046 = V567604. assign V604463 = V447229 + 1. assign V714313 = V635308 + 1. assign V355204 = V347855 + 1. assign V447229 = V155458. assign V760451 = V865836 - 1. assign V560901 = V447893. assign V864088 = V155458. assign V598245 = V995331 + 1. assign V167482 = V800276 + 1. assign V549180 = V371484 + 1. assign V770776 = V314644. assign V833013 = V105727 + 1. assign V800276 = V740744. assign V318582 = V725965 - 1. assign V370719 = V314644 + 1. assign V298259 = V714313 + 1. assign V216264 = V105727. assign V176363 = V546730 - 1. assign V640028 = V318582 - 1. assign V195705 = V050812 + 1. assign V578701 = V865836 - 1. assign V865836 = V898785 + 1. assign V210569 = V171899. assign V371484 = V898785. assign V822509 = V027026 - 1. assign V268626 = V171899 - 1. assign V359127 = V246455 - 1. assign V857247 = V567604.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V163050 = V865836 + 1. assign V293211 = V347855. assign V635308 = V898785 - 1. assign V970228 = V105727 - 1. assign V927185 = V714881. assign V405548 = V371484. assign V818784 = V145811 - 1. assign V255144 = V549180. assign V475241 = V635308 - 1. assign V050812 = V314644 + 1. assign V552498 = V371484 + 1. assign V905605 = V155458. assign V872649 = V760451 + 1. assign V275157 = V740744 + 1. assign V349878 = V145811 + 1. assign V347855 = V760451. assign V105727 = V155458 - 1. assign V740744 = V254046. assign V447893 = V567604. assign V717585 = V171899. assign V770063 = V145811 + 1. assign V246455 = V253401 - 1. assign V171899 = V254046 + 1. assign V076131 = V717585 - 1. assign V687189 = V717585 - 1. assign V723255 = V275157. assign V135221 = V898785 + 1. assign V164046 = V905605 - 1. assign V897412 = V872649. assign V995331 = V155458. assign V487801 = V635308. assign V150617 = V246455 - 1. assign V418125 = V864088. assign V204312 = V347855 + 1. assign V119173 = V872649 + 1. assign V449757 = V371484 - 1. assign V546730 = V872649 - 1. assign V155458 = V370719. assign V314644 = V635308 - 1. assign V456576 = 8. assign V253401 = V105727 + 1. assign V714881 = V155458 - 1. assign V439280 = V970228 - 1. assign V027026 = V865836 - 1. assign V796391 = V167482 - 1. assign V878042 = V546730 - 1. assign V938084 = V567604 - 1. assign V145811 = V275157 - 1. assign V907372 = V456576. assign V567604 = V155458 - 1. assign V340711 = V171899. assign V725965 = V370719 - 1. assign V874845 = V105727 + 1. assign V360750 = V135221 + 1. assign V927044 = V865836 - 1. assign V385480 = V725965 - 1. assign V893439 = V717585 + 1. assign V254046 = V567604. assign V604463 = V447229 + 1. assign V714313 = V635308 + 1. assign V355204 = V347855 + 1. assign V447229 = V155458. assign V760451 = V865836 - 1. assign V560901 = V447893. assign V864088 = V155458. assign V598245 = V995331 + 1. assign V167482 = V800276 + 1. assign V549180 = V371484 + 1. assign V770776 = V314644. assign V833013 = V105727 + 1. assign V800276 = V740744. assign V318582 = V725965 - 1. assign V370719 = V314644 + 1. assign V298259 = V714313 + 1. assign V216264 = V105727. assign V176363 = V546730 - 1. assign V640028 = V318582 - 1. assign V195705 = V050812 + 1. assign V578701 = V865836 - 1. assign V865836 = V898785 + 1. assign V210569 = V171899. assign V371484 = V898785. assign V822509 = V027026 - 1. assign V268626 = V171899 - 1. assign V359127 = V246455 - 1. assign V857247 = V567604.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV456576 = 8;\n\nFrom these direct assignment(s), we have: \nV907372 = V456576 = 8;\nNo other variables can be derived from V907372;\nNo other variables can be derived from V456576;\n\nNow we have done all the calculations. Derived variables are:\nV456576 = 8;\nV907372 = 8;\n\nNow we have finished this problem. ANSWER:\nV456576, V907372\n", "role": "assistant" } ]

[ "V150826", "V848681" ]

[ { "content": "<context>\nassign V216942 = V471386 + 1. assign V454423 = V754831 + 1. assign V240573 = V086064. assign V533220 = V811311. assign V431624 = V934759 + 1. assign V263838 = V668884 + 1. assign V444734 = V385509. assign V615640 = V934759. assign V274596 = V510775 - 1. assign V820795 = V548758 + 1. assign V847281 = V330447 + 1. assign V961291 = V038298. assign V548758 = V038298 - 1. assign V409283 = V238606. assign V683672 = V615640 + 1. assign V190900 = V385509 + 1. assign V379174 = V820795 + 1. assign V150826 = 4. assign V195218 = V444734 + 1. assign V763850 = V590994 - 1. assign V357499 = V272420. assign V022673 = V942931. assign V708697 = V431624. assign V330447 = V038298 + 1. assign V454514 = V580156 - 1. assign V958744 = V273135 - 1. assign V344129 = V942931 - 1. assign V590994 = V548758 - 1. assign V525014 = V038298 - 1. assign V348424 = V633726 - 1. assign V434560 = V444734 - 1. assign V591034 = V522949 + 1. assign V775782 = V610563 - 1. assign V194309 = V934759 - 1. assign V966799 = V052983 - 1. assign V812738 = V498877. assign V678099 = V240573 + 1. assign V273135 = V942931 - 1. assign V588535 = V510775 + 1. assign V471386 = V591034 + 1. assign V840162 = V709776 - 1. assign V217401 = V668884 - 1. assign V893981 = V471386. assign V510775 = V038298. assign V934759 = V240573 - 1. assign V668832 = V580156. assign V580156 = V009501 - 1. assign V660766 = V902867 - 1. assign V709776 = V902867 - 1. assign V606447 = V238606 - 1. assign V498877 = V217401 - 1. assign V553300 = V022673 + 1. assign V754831 = V240573 - 1. assign V811311 = V330447 + 1. assign V385509 = V009501. assign V703411 = V709776. assign V272420 = V274596 - 1. assign V234024 = V660766 + 1. assign V798827 = V934759. assign V038298 = V754831 - 1. assign V086064 = V668884 - 1. assign V624792 = V812738 + 1. assign V848681 = V150826. assign V942931 = V709776 + 1. assign V123727 = V590994 - 1. assign V360560 = V668884. assign V740778 = V533220 + 1. assign V052983 = V615640. assign V100736 = V668832 + 1. assign V588076 = V820795 + 1. assign V242421 = V522949 + 1. assign V646589 = V754831 - 1. assign V522949 = V086064 - 1. assign V346811 = V709776 - 1. assign V312742 = V454423 - 1. assign V632220 = V811311. assign V633726 = V847281. assign V077371 = V590994 - 1. assign V747587 = V678099. assign V902867 = V217401. assign V454553 = V709776. assign V238606 = V522949. assign V489879 = V811311 - 1. assign V610563 = V086064 - 1. assign V668884 = V009501 + 1. assign V973438 = V086064.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V216942 = V471386 + 1. assign V454423 = V754831 + 1. assign V240573 = V086064. assign V533220 = V811311. assign V431624 = V934759 + 1. assign V263838 = V668884 + 1. assign V444734 = V385509. assign V615640 = V934759. assign V274596 = V510775 - 1. assign V820795 = V548758 + 1. assign V847281 = V330447 + 1. assign V961291 = V038298. assign V548758 = V038298 - 1. assign V409283 = V238606. assign V683672 = V615640 + 1. assign V190900 = V385509 + 1. assign V379174 = V820795 + 1. assign V150826 = 4. assign V195218 = V444734 + 1. assign V763850 = V590994 - 1. assign V357499 = V272420. assign V022673 = V942931. assign V708697 = V431624. assign V330447 = V038298 + 1. assign V454514 = V580156 - 1. assign V958744 = V273135 - 1. assign V344129 = V942931 - 1. assign V590994 = V548758 - 1. assign V525014 = V038298 - 1. assign V348424 = V633726 - 1. assign V434560 = V444734 - 1. assign V591034 = V522949 + 1. assign V775782 = V610563 - 1. assign V194309 = V934759 - 1. assign V966799 = V052983 - 1. assign V812738 = V498877. assign V678099 = V240573 + 1. assign V273135 = V942931 - 1. assign V588535 = V510775 + 1. assign V471386 = V591034 + 1. assign V840162 = V709776 - 1. assign V217401 = V668884 - 1. assign V893981 = V471386. assign V510775 = V038298. assign V934759 = V240573 - 1. assign V668832 = V580156. assign V580156 = V009501 - 1. assign V660766 = V902867 - 1. assign V709776 = V902867 - 1. assign V606447 = V238606 - 1. assign V498877 = V217401 - 1. assign V553300 = V022673 + 1. assign V754831 = V240573 - 1. assign V811311 = V330447 + 1. assign V385509 = V009501. assign V703411 = V709776. assign V272420 = V274596 - 1. assign V234024 = V660766 + 1. assign V798827 = V934759. assign V038298 = V754831 - 1. assign V086064 = V668884 - 1. assign V624792 = V812738 + 1. assign V848681 = V150826. assign V942931 = V709776 + 1. assign V123727 = V590994 - 1. assign V360560 = V668884. assign V740778 = V533220 + 1. assign V052983 = V615640. assign V100736 = V668832 + 1. assign V588076 = V820795 + 1. assign V242421 = V522949 + 1. assign V646589 = V754831 - 1. assign V522949 = V086064 - 1. assign V346811 = V709776 - 1. assign V312742 = V454423 - 1. assign V632220 = V811311. assign V633726 = V847281. assign V077371 = V590994 - 1. assign V747587 = V678099. assign V902867 = V217401. assign V454553 = V709776. assign V238606 = V522949. assign V489879 = V811311 - 1. assign V610563 = V086064 - 1. assign V668884 = V009501 + 1. assign V973438 = V086064.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV150826 = 4;\n\nFrom these direct assignment(s), we have: \nV848681 = V150826 = 4;\nNo other variables can be derived from V848681;\nNo other variables can be derived from V150826;\n\nNow we have done all the calculations. Derived variables are:\nV150826 = 4;\nV848681 = 4;\n\nNow we have finished this problem. ANSWER:\nV150826, V848681\n", "role": "assistant" } ]

[ "V765656" ]

[ { "content": "<context>\nassign V028706 = V753706. assign V604935 = V585667 - 1. assign V292018 = V415613 - 1. assign V843565 = V753706. assign V756199 = V123833 + 1. assign V861035 = V362483 - 1. assign V314546 = V353639 + 1. assign V614100 = V840834 + 1. assign V478482 = V251524 - 1. assign V203183 = V279674 + 1. assign V931075 = V632925. assign V303712 = V154311 + 1. assign V886344 = V931075 - 1. assign V485659 = V315451 - 1. assign V255662 = V054400 + 1. assign V639012 = V478297 + 1. assign V054400 = V585667 - 1. assign V378413 = V870318 - 1. assign V062989 = V824053 + 1. assign V366502 = V753706 + 1. assign V763615 = V201803 - 1. assign V564254 = V293939 - 1. assign V616862 = V604935 - 1. assign V108142 = V861035 - 1. assign V630513 = V448971 - 1. assign V501724 = V400583. assign V109635 = V478482 - 1. assign V293939 = V315451 + 1. assign V292347 = V054400 + 1. assign V922523 = V861035 - 1. assign V914644 = V062989. assign V873797 = V468976 - 1. assign V361693 = V840834. assign V229177 = V353639 + 1. assign V254732 = V201803 - 1. assign V478297 = V353639 + 1. assign V156308 = V824053 - 1. assign V468976 = V947993 - 1. assign V123833 = V861035. assign V983144 = V485659 + 1. assign V448971 = V348637. assign V362483 = V348637 + 1. assign V765656 = V223832 - 1. assign V650876 = V448971. assign V753706 = V650876 - 1. assign V840834 = V251524 + 1. assign V092259 = V448971 - 1. assign V415613 = V614100 + 1. assign V067085 = V154311 + 1. assign V622113 = V951349 - 1. assign V201803 = V092259. assign V898745 = V951349. assign V947993 = V038972. assign V038972 = V843565 + 1. assign V417510 = V723908 - 1. assign V829112 = V038972 - 1. assign V736438 = V201803. assign V097775 = V448971. assign V223832 = 8. assign V723908 = V361693 + 1. assign V256076 = V843565. assign V127095 = V840834 - 1. assign V696712 = V011709 - 1. assign V574370 = V564254 - 1. assign V077466 = V639993 + 1. assign V761820 = V650876 + 1. assign V252357 = V873797. assign V315451 = V861035 - 1. assign V154311 = V348637 + 1. assign V460051 = V203183. assign V824053 = V054400 - 1. assign V639993 = V353639. assign V280162 = V315451. assign V281061 = V931075 + 1. assign V400583 = V639993 - 1. assign V353639 = V448971 - 1. assign V632925 = V348637. assign V377242 = V630513 - 1. assign V279674 = V931075 + 1. assign V870318 = V127095. assign V011709 = V353639. assign V167717 = V763615 + 1. assign V251524 = V348637. assign V585667 = V154311 - 1. assign V684183 = V077466. assign V951349 = V843565 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V028706 = V753706. assign V604935 = V585667 - 1. assign V292018 = V415613 - 1. assign V843565 = V753706. assign V756199 = V123833 + 1. assign V861035 = V362483 - 1. assign V314546 = V353639 + 1. assign V614100 = V840834 + 1. assign V478482 = V251524 - 1. assign V203183 = V279674 + 1. assign V931075 = V632925. assign V303712 = V154311 + 1. assign V886344 = V931075 - 1. assign V485659 = V315451 - 1. assign V255662 = V054400 + 1. assign V639012 = V478297 + 1. assign V054400 = V585667 - 1. assign V378413 = V870318 - 1. assign V062989 = V824053 + 1. assign V366502 = V753706 + 1. assign V763615 = V201803 - 1. assign V564254 = V293939 - 1. assign V616862 = V604935 - 1. assign V108142 = V861035 - 1. assign V630513 = V448971 - 1. assign V501724 = V400583. assign V109635 = V478482 - 1. assign V293939 = V315451 + 1. assign V292347 = V054400 + 1. assign V922523 = V861035 - 1. assign V914644 = V062989. assign V873797 = V468976 - 1. assign V361693 = V840834. assign V229177 = V353639 + 1. assign V254732 = V201803 - 1. assign V478297 = V353639 + 1. assign V156308 = V824053 - 1. assign V468976 = V947993 - 1. assign V123833 = V861035. assign V983144 = V485659 + 1. assign V448971 = V348637. assign V362483 = V348637 + 1. assign V765656 = V223832 - 1. assign V650876 = V448971. assign V753706 = V650876 - 1. assign V840834 = V251524 + 1. assign V092259 = V448971 - 1. assign V415613 = V614100 + 1. assign V067085 = V154311 + 1. assign V622113 = V951349 - 1. assign V201803 = V092259. assign V898745 = V951349. assign V947993 = V038972. assign V038972 = V843565 + 1. assign V417510 = V723908 - 1. assign V829112 = V038972 - 1. assign V736438 = V201803. assign V097775 = V448971. assign V223832 = 8. assign V723908 = V361693 + 1. assign V256076 = V843565. assign V127095 = V840834 - 1. assign V696712 = V011709 - 1. assign V574370 = V564254 - 1. assign V077466 = V639993 + 1. assign V761820 = V650876 + 1. assign V252357 = V873797. assign V315451 = V861035 - 1. assign V154311 = V348637 + 1. assign V460051 = V203183. assign V824053 = V054400 - 1. assign V639993 = V353639. assign V280162 = V315451. assign V281061 = V931075 + 1. assign V400583 = V639993 - 1. assign V353639 = V448971 - 1. assign V632925 = V348637. assign V377242 = V630513 - 1. assign V279674 = V931075 + 1. assign V870318 = V127095. assign V011709 = V353639. assign V167717 = V763615 + 1. assign V251524 = V348637. assign V585667 = V154311 - 1. assign V684183 = V077466. assign V951349 = V843565 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV223832 = 8;\n\nFrom these direct assignment(s), we have: \nV765656 = V223832 - 1 = 8 - 1 =7;\nNo other variables can be derived from V765656;\nNo other variables can be derived from V223832;\n\nNow we have done all the calculations. Derived variables are:\nV223832 = 8;\nV765656 = 7;\n\nNow we have finished this problem. ANSWER:\nV765656\n", "role": "assistant" } ]

[ "V893865" ]

[ { "content": "<context>\nassign V397633 = V244051. assign V477515 = V481165 - 1. assign V014798 = V633837 - 1. assign V996980 = V395501 + 1. assign V593983 = V395501 + 1. assign V812817 = V137157 - 1. assign V893865 = 6. assign V309848 = V733179. assign V081987 = V244051 - 1. assign V538418 = V625561. assign V551346 = V938754. assign V667616 = V205651. assign V183715 = V205651 - 1. assign V990500 = V098365. assign V035493 = V733179 - 1. assign V257170 = V633837 - 1. assign V776432 = V650111 - 1. assign V857203 = V763231 - 1. assign V191923 = V667616. assign V395501 = V032973 + 1. assign V412105 = V183715. assign V098365 = V812817. assign V909705 = V432222 - 1. assign V318295 = V625561 - 1. assign V244051 = V098365. assign V733179 = V625561 - 1. assign V536270 = V481165 + 1. assign V032973 = V853093. assign V722208 = V318295 + 1. assign V487928 = V940530 - 1. assign V816380 = V536270 - 1. assign V868040 = V180565. assign V875111 = V205651 - 1. assign V137157 = V261061 + 1. assign V505777 = V692191 + 1. assign V720745 = V453403 - 1. assign V697588 = V205651. assign V763231 = V853093. assign V838320 = V812817 + 1. assign V830400 = V098365 - 1. assign V958586 = V940530 + 1. assign V449696 = V021045. assign V066423 = V261061. assign V692191 = V098365 + 1. assign V818600 = V633837 - 1. assign V430495 = V309848 + 1. assign V453403 = V875111. assign V617615 = V650111 - 1. assign V041328 = V205651 + 1. assign V103072 = V137157 + 1. assign V532040 = V733179. assign V830836 = V838320. assign V865124 = V853093 - 1. assign V481165 = V032973 - 1. assign V481407 = V441488. assign V366587 = V893865 - 1. assign V180565 = V940530 + 1. assign V064351 = V625561 + 1. assign V344944 = V982834. assign V803493 = V481407. assign V847385 = V481165. assign V633837 = V441488 + 1. assign V207328 = V441488. assign V369049 = V014590. assign V940530 = V650111. assign V261061 = V032973 + 1. assign V921670 = V536270 - 1. assign V853093 = V625561 + 1. assign V863391 = V996980 - 1. assign V021045 = V733179 + 1. assign V705011 = V650111 + 1. assign V328624 = V261061. assign V650111 = V625561. assign V205651 = V625561. assign V039159 = V830400. assign V945503 = V035493. assign V432222 = V650111 - 1. assign V822442 = V863391. assign V050746 = V395501 + 1. assign V441488 = V395501. assign V982834 = V667616 - 1. assign V727556 = V958586 - 1. assign V860143 = V441488 + 1. assign V014590 = V763231. assign V938754 = V183715 + 1. assign V155843 = V727556 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V397633 = V244051. assign V477515 = V481165 - 1. assign V014798 = V633837 - 1. assign V996980 = V395501 + 1. assign V593983 = V395501 + 1. assign V812817 = V137157 - 1. assign V893865 = 6. assign V309848 = V733179. assign V081987 = V244051 - 1. assign V538418 = V625561. assign V551346 = V938754. assign V667616 = V205651. assign V183715 = V205651 - 1. assign V990500 = V098365. assign V035493 = V733179 - 1. assign V257170 = V633837 - 1. assign V776432 = V650111 - 1. assign V857203 = V763231 - 1. assign V191923 = V667616. assign V395501 = V032973 + 1. assign V412105 = V183715. assign V098365 = V812817. assign V909705 = V432222 - 1. assign V318295 = V625561 - 1. assign V244051 = V098365. assign V733179 = V625561 - 1. assign V536270 = V481165 + 1. assign V032973 = V853093. assign V722208 = V318295 + 1. assign V487928 = V940530 - 1. assign V816380 = V536270 - 1. assign V868040 = V180565. assign V875111 = V205651 - 1. assign V137157 = V261061 + 1. assign V505777 = V692191 + 1. assign V720745 = V453403 - 1. assign V697588 = V205651. assign V763231 = V853093. assign V838320 = V812817 + 1. assign V830400 = V098365 - 1. assign V958586 = V940530 + 1. assign V449696 = V021045. assign V066423 = V261061. assign V692191 = V098365 + 1. assign V818600 = V633837 - 1. assign V430495 = V309848 + 1. assign V453403 = V875111. assign V617615 = V650111 - 1. assign V041328 = V205651 + 1. assign V103072 = V137157 + 1. assign V532040 = V733179. assign V830836 = V838320. assign V865124 = V853093 - 1. assign V481165 = V032973 - 1. assign V481407 = V441488. assign V366587 = V893865 - 1. assign V180565 = V940530 + 1. assign V064351 = V625561 + 1. assign V344944 = V982834. assign V803493 = V481407. assign V847385 = V481165. assign V633837 = V441488 + 1. assign V207328 = V441488. assign V369049 = V014590. assign V940530 = V650111. assign V261061 = V032973 + 1. assign V921670 = V536270 - 1. assign V853093 = V625561 + 1. assign V863391 = V996980 - 1. assign V021045 = V733179 + 1. assign V705011 = V650111 + 1. assign V328624 = V261061. assign V650111 = V625561. assign V205651 = V625561. assign V039159 = V830400. assign V945503 = V035493. assign V432222 = V650111 - 1. assign V822442 = V863391. assign V050746 = V395501 + 1. assign V441488 = V395501. assign V982834 = V667616 - 1. assign V727556 = V958586 - 1. assign V860143 = V441488 + 1. assign V014590 = V763231. assign V938754 = V183715 + 1. assign V155843 = V727556 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV893865 = 6;\n\nFrom these direct assignment(s), we have: \nV366587 = V893865 - 1 = 6 - 1 =5;\nNo other variables can be derived from V366587;\nNo other variables can be derived from V893865;\n\nNow we have done all the calculations. Derived variables are:\nV893865 = 6;\nV366587 = 5;\n\nNow we have finished this problem. ANSWER:\nV893865\n", "role": "assistant" } ]

[ "V854238" ]

[ { "content": "<context>\nassign V875041 = V832576 + 1. assign V345614 = V261487 - 1. assign V545428 = V560948 - 1. assign V984831 = V765432 + 1. assign V667387 = V193535. assign V259358 = V105685 - 1. assign V644610 = V304262 - 1. assign V791570 = V765432 - 1. assign V522755 = V096012. assign V153541 = V079739. assign V096012 = V581220 + 1. assign V664054 = V096012. assign V765432 = V214555 - 1. assign V877334 = V707718 + 1. assign V379572 = V261487. assign V707718 = V312381 + 1. assign V702594 = V854757. assign V524178 = V105685 + 1. assign V226846 = V644610. assign V346471 = V251716 - 1. assign V193535 = V875041 + 1. assign V807517 = V153541. assign V261487 = V875041. assign V250352 = V079739. assign V114817 = V046349. assign V581220 = V079739 - 1. assign V312381 = V079739 + 1. assign V259981 = V617776 - 1. assign V182810 = V765432 - 1. assign V823114 = V096012. assign V192542 = V547786. assign V282142 = V875041. assign V732188 = V259358 + 1. assign V304262 = V214555 + 1. assign V306533 = V282142. assign V832576 = V096012 + 1. assign V621881 = V068611 + 1. assign V395317 = V261487 - 1. assign V274644 = V153541 - 1. assign V376141 = V274644 + 1. assign V055877 = V096012 - 1. assign V764280 = V105685 + 1. assign V547786 = V560948. assign V367048 = V032599. assign V105685 = V091723 - 1. assign V158105 = V274644 + 1. assign V617776 = V068611 + 1. assign V438735 = V251716 - 1. assign V819473 = V547786 + 1. assign V060464 = V764280 - 1. assign V119625 = V198180 - 1. assign V032599 = V473618 - 1. assign V088698 = 10. assign V854757 = V198180 - 1. assign V068611 = V877334 - 1. assign V578912 = V832576 - 1. assign V077841 = V251716 + 1. assign V046349 = V764280. assign V327597 = V738467 - 1. assign V854238 = V088698 - 1. assign V251716 = V153541. assign V420862 = V653399. assign V560948 = V282142. assign V687694 = V992142 + 1. assign V620338 = V091723 + 1. assign V992142 = V153541 - 1. assign V848077 = V765432 + 1. assign V091723 = V581220. assign V231464 = V105685 + 1. assign V108680 = V345614. assign V215983 = V764280. assign V213706 = V312381 + 1. assign V027637 = V068611. assign V198180 = V707718 + 1. assign V296517 = V617776. assign V214555 = V827370 - 1. assign V738467 = V274644. assign V506306 = V807517 - 1. assign V185066 = V306533. assign V590890 = V621881 - 1. assign V473618 = V707718 - 1. assign V827370 = V653399 - 1. assign V194346 = V877334. assign V805825 = V376141 - 1. assign V653399 = V282142 + 1. assign V749594 = V805825.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V875041 = V832576 + 1. assign V345614 = V261487 - 1. assign V545428 = V560948 - 1. assign V984831 = V765432 + 1. assign V667387 = V193535. assign V259358 = V105685 - 1. assign V644610 = V304262 - 1. assign V791570 = V765432 - 1. assign V522755 = V096012. assign V153541 = V079739. assign V096012 = V581220 + 1. assign V664054 = V096012. assign V765432 = V214555 - 1. assign V877334 = V707718 + 1. assign V379572 = V261487. assign V707718 = V312381 + 1. assign V702594 = V854757. assign V524178 = V105685 + 1. assign V226846 = V644610. assign V346471 = V251716 - 1. assign V193535 = V875041 + 1. assign V807517 = V153541. assign V261487 = V875041. assign V250352 = V079739. assign V114817 = V046349. assign V581220 = V079739 - 1. assign V312381 = V079739 + 1. assign V259981 = V617776 - 1. assign V182810 = V765432 - 1. assign V823114 = V096012. assign V192542 = V547786. assign V282142 = V875041. assign V732188 = V259358 + 1. assign V304262 = V214555 + 1. assign V306533 = V282142. assign V832576 = V096012 + 1. assign V621881 = V068611 + 1. assign V395317 = V261487 - 1. assign V274644 = V153541 - 1. assign V376141 = V274644 + 1. assign V055877 = V096012 - 1. assign V764280 = V105685 + 1. assign V547786 = V560948. assign V367048 = V032599. assign V105685 = V091723 - 1. assign V158105 = V274644 + 1. assign V617776 = V068611 + 1. assign V438735 = V251716 - 1. assign V819473 = V547786 + 1. assign V060464 = V764280 - 1. assign V119625 = V198180 - 1. assign V032599 = V473618 - 1. assign V088698 = 10. assign V854757 = V198180 - 1. assign V068611 = V877334 - 1. assign V578912 = V832576 - 1. assign V077841 = V251716 + 1. assign V046349 = V764280. assign V327597 = V738467 - 1. assign V854238 = V088698 - 1. assign V251716 = V153541. assign V420862 = V653399. assign V560948 = V282142. assign V687694 = V992142 + 1. assign V620338 = V091723 + 1. assign V992142 = V153541 - 1. assign V848077 = V765432 + 1. assign V091723 = V581220. assign V231464 = V105685 + 1. assign V108680 = V345614. assign V215983 = V764280. assign V213706 = V312381 + 1. assign V027637 = V068611. assign V198180 = V707718 + 1. assign V296517 = V617776. assign V214555 = V827370 - 1. assign V738467 = V274644. assign V506306 = V807517 - 1. assign V185066 = V306533. assign V590890 = V621881 - 1. assign V473618 = V707718 - 1. assign V827370 = V653399 - 1. assign V194346 = V877334. assign V805825 = V376141 - 1. assign V653399 = V282142 + 1. assign V749594 = V805825.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV088698 = 10;\n\nFrom these direct assignment(s), we have: \nV854238 = V088698 - 1 = 10 - 1 =9;\nNo other variables can be derived from V854238;\nNo other variables can be derived from V088698;\n\nNow we have done all the calculations. Derived variables are:\nV088698 = 10;\nV854238 = 9;\n\nNow we have finished this problem. ANSWER:\nV854238\n", "role": "assistant" } ]

[ "V262892" ]

[ { "content": "<context>\nassign V812798 = V720022 + 1. assign V947255 = V542655 + 1. assign V685620 = V262892 + 1. assign V099067 = V722229. assign V799941 = V179629 - 1. assign V036307 = V092204 - 1. assign V549132 = V111904 - 1. assign V998301 = V281880. assign V959447 = V591503 - 1. assign V576792 = V108450. assign V111904 = V598489. assign V557943 = V190920 - 1. assign V107674 = V720022 - 1. assign V798686 = V092204 - 1. assign V655170 = V557949 + 1. assign V265960 = V350744. assign V553562 = V478706. assign V261015 = V024880 + 1. assign V140589 = V947255 + 1. assign V040666 = V591503. assign V720022 = V092204. assign V414684 = V754812 - 1. assign V599281 = V798686 - 1. assign V882204 = V281880 + 1. assign V060525 = V265948 + 1. assign V522880 = V107674 - 1. assign V176154 = V213854 + 1. assign V112698 = V599281. assign V765086 = V024880. assign V131719 = V720022. assign V220991 = V522880 - 1. assign V478706 = V107674 - 1. assign V398114 = V261015. assign V755441 = V542655 + 1. assign V117482 = V553562. assign V834059 = V540691 + 1. assign V262892 = 4. assign V722229 = V116546 - 1. assign V108450 = V092204. assign V281880 = V131719 + 1. assign V697367 = V998301 + 1. assign V955751 = V947255 - 1. assign V631191 = V108450 - 1. assign V854462 = V720022 - 1. assign V542655 = V560272. assign V489093 = V112698 + 1. assign V034548 = V599281. assign V145222 = V720022 + 1. assign V827868 = V261015 + 1. assign V179629 = V034548. assign V773275 = V265948 + 1. assign V265948 = V036307 + 1. assign V147999 = V350744. assign V998797 = V553562 - 1. assign V634309 = V959447 + 1. assign V022580 = V553562. assign V975333 = V024880 + 1. assign V754812 = V145222 - 1. assign V433612 = V261015 + 1. assign V213854 = V720022. assign V363533 = V350744. assign V487263 = V414684 - 1. assign V218303 = V034548 - 1. assign V801558 = V959447 + 1. assign V120641 = V108450 - 1. assign V598489 = V522880 + 1. assign V547708 = V220991. assign V535639 = V111904 + 1. assign V749653 = V959447. assign V069567 = V947255 - 1. assign V116546 = V827868 + 1. assign V215683 = V061987 - 1. assign V557949 = V220991 + 1. assign V190920 = V540691. assign V591503 = V036307 - 1. assign V061987 = V812798 + 1. assign V539450 = V220991. assign V350744 = V522880 + 1. assign V909389 = V220991 - 1. assign V540691 = V092204 - 1. assign V297865 = V542655 - 1. assign V354267 = V111904 - 1. assign V703630 = V116546 - 1. assign V024880 = V959447 - 1. assign V560272 = V478706 - 1. assign V992242 = V754812 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V812798 = V720022 + 1. assign V947255 = V542655 + 1. assign V685620 = V262892 + 1. assign V099067 = V722229. assign V799941 = V179629 - 1. assign V036307 = V092204 - 1. assign V549132 = V111904 - 1. assign V998301 = V281880. assign V959447 = V591503 - 1. assign V576792 = V108450. assign V111904 = V598489. assign V557943 = V190920 - 1. assign V107674 = V720022 - 1. assign V798686 = V092204 - 1. assign V655170 = V557949 + 1. assign V265960 = V350744. assign V553562 = V478706. assign V261015 = V024880 + 1. assign V140589 = V947255 + 1. assign V040666 = V591503. assign V720022 = V092204. assign V414684 = V754812 - 1. assign V599281 = V798686 - 1. assign V882204 = V281880 + 1. assign V060525 = V265948 + 1. assign V522880 = V107674 - 1. assign V176154 = V213854 + 1. assign V112698 = V599281. assign V765086 = V024880. assign V131719 = V720022. assign V220991 = V522880 - 1. assign V478706 = V107674 - 1. assign V398114 = V261015. assign V755441 = V542655 + 1. assign V117482 = V553562. assign V834059 = V540691 + 1. assign V262892 = 4. assign V722229 = V116546 - 1. assign V108450 = V092204. assign V281880 = V131719 + 1. assign V697367 = V998301 + 1. assign V955751 = V947255 - 1. assign V631191 = V108450 - 1. assign V854462 = V720022 - 1. assign V542655 = V560272. assign V489093 = V112698 + 1. assign V034548 = V599281. assign V145222 = V720022 + 1. assign V827868 = V261015 + 1. assign V179629 = V034548. assign V773275 = V265948 + 1. assign V265948 = V036307 + 1. assign V147999 = V350744. assign V998797 = V553562 - 1. assign V634309 = V959447 + 1. assign V022580 = V553562. assign V975333 = V024880 + 1. assign V754812 = V145222 - 1. assign V433612 = V261015 + 1. assign V213854 = V720022. assign V363533 = V350744. assign V487263 = V414684 - 1. assign V218303 = V034548 - 1. assign V801558 = V959447 + 1. assign V120641 = V108450 - 1. assign V598489 = V522880 + 1. assign V547708 = V220991. assign V535639 = V111904 + 1. assign V749653 = V959447. assign V069567 = V947255 - 1. assign V116546 = V827868 + 1. assign V215683 = V061987 - 1. assign V557949 = V220991 + 1. assign V190920 = V540691. assign V591503 = V036307 - 1. assign V061987 = V812798 + 1. assign V539450 = V220991. assign V350744 = V522880 + 1. assign V909389 = V220991 - 1. assign V540691 = V092204 - 1. assign V297865 = V542655 - 1. assign V354267 = V111904 - 1. assign V703630 = V116546 - 1. assign V024880 = V959447 - 1. assign V560272 = V478706 - 1. assign V992242 = V754812 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV262892 = 4;\n\nFrom these direct assignment(s), we have: \nV685620 = V262892 + 1 = 4 + 1 =5;\nNo other variables can be derived from V685620;\nNo other variables can be derived from V262892;\n\nNow we have done all the calculations. Derived variables are:\nV262892 = 4;\nV685620 = 5;\n\nNow we have finished this problem. ANSWER:\nV262892\n", "role": "assistant" } ]

[ "V242040" ]

[ { "content": "<context>\nassign V768186 = V885609 + 1. assign V866057 = V281595 - 1. assign V629895 = V132908. assign V837553 = V803643. assign V315587 = V281595 + 1. assign V617651 = V780511. assign V764977 = V995495 + 1. assign V037352 = V834648. assign V470813 = V720600. assign V393387 = V000106. assign V627464 = V772779 + 1. assign V899407 = V132908 - 1. assign V094945 = V335029 + 1. assign V680557 = V743525. assign V343567 = V736583 - 1. assign V080976 = V899407 - 1. assign V151016 = V326554. assign V418600 = V743525 - 1. assign V517868 = V803643 - 1. assign V132908 = V780511 - 1. assign V186376 = V780511 + 1. assign V567964 = V366602 - 1. assign V511501 = V366602. assign V894048 = V543338 + 1. assign V736583 = V891084 + 1. assign V543338 = V336126 - 1. assign V048623 = V552246 + 1. assign V850700 = V866057 - 1. assign V653614 = V343567. assign V326554 = V343567 + 1. assign V515710 = V837553 - 1. assign V832095 = V094945. assign V794140 = V481556. assign V643967 = V767491. assign V751925 = V659957. assign V803643 = V885609 + 1. assign V838181 = V643967 - 1. assign V336126 = V567964. assign V706457 = V354817 - 1. assign V000106 = V094945 + 1. assign V481556 = V000106. assign V382877 = V018499. assign V552246 = V094945 - 1. assign V885609 = V891084. assign V657807 = V569393 + 1. assign V504521 = V768186 + 1. assign V242040 = 6. assign V208265 = V891084 + 1. assign V834648 = V388786 - 1. assign V891084 = V366602 + 1. assign V610346 = V335029. assign V897327 = V418600. assign V151184 = V758878 + 1. assign V772779 = V834648 + 1. assign V881906 = V567964 + 1. assign V832246 = V682047 + 1. assign V018499 = V680557. assign V780511 = V567964 + 1. assign V088492 = V242040 + 1. assign V397211 = V542269 + 1. assign V743525 = V567964 + 1. assign V344809 = V504521 + 1. assign V388786 = V000106 + 1. assign V650393 = V315587 - 1. assign V145177 = V418600. assign V659957 = V643967 + 1. assign V281595 = V354817 - 1. assign V720600 = V079155. assign V874731 = V335029 - 1. assign V682047 = V874731. assign V334159 = V772779 + 1. assign V542269 = V767491 - 1. assign V080152 = V657807 - 1. assign V585311 = V772779 - 1. assign V840282 = V281595 - 1. assign V758878 = V874731 + 1. assign V442656 = V832095. assign V995495 = V834648. assign V079155 = V354817 + 1. assign V354817 = V891084 + 1. assign V569393 = V832095 - 1. assign V148583 = V542269. assign V767491 = V891084 + 1. assign V956039 = V567964 + 1. assign V497489 = V736583. assign V335029 = V567964 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V768186 = V885609 + 1. assign V866057 = V281595 - 1. assign V629895 = V132908. assign V837553 = V803643. assign V315587 = V281595 + 1. assign V617651 = V780511. assign V764977 = V995495 + 1. assign V037352 = V834648. assign V470813 = V720600. assign V393387 = V000106. assign V627464 = V772779 + 1. assign V899407 = V132908 - 1. assign V094945 = V335029 + 1. assign V680557 = V743525. assign V343567 = V736583 - 1. assign V080976 = V899407 - 1. assign V151016 = V326554. assign V418600 = V743525 - 1. assign V517868 = V803643 - 1. assign V132908 = V780511 - 1. assign V186376 = V780511 + 1. assign V567964 = V366602 - 1. assign V511501 = V366602. assign V894048 = V543338 + 1. assign V736583 = V891084 + 1. assign V543338 = V336126 - 1. assign V048623 = V552246 + 1. assign V850700 = V866057 - 1. assign V653614 = V343567. assign V326554 = V343567 + 1. assign V515710 = V837553 - 1. assign V832095 = V094945. assign V794140 = V481556. assign V643967 = V767491. assign V751925 = V659957. assign V803643 = V885609 + 1. assign V838181 = V643967 - 1. assign V336126 = V567964. assign V706457 = V354817 - 1. assign V000106 = V094945 + 1. assign V481556 = V000106. assign V382877 = V018499. assign V552246 = V094945 - 1. assign V885609 = V891084. assign V657807 = V569393 + 1. assign V504521 = V768186 + 1. assign V242040 = 6. assign V208265 = V891084 + 1. assign V834648 = V388786 - 1. assign V891084 = V366602 + 1. assign V610346 = V335029. assign V897327 = V418600. assign V151184 = V758878 + 1. assign V772779 = V834648 + 1. assign V881906 = V567964 + 1. assign V832246 = V682047 + 1. assign V018499 = V680557. assign V780511 = V567964 + 1. assign V088492 = V242040 + 1. assign V397211 = V542269 + 1. assign V743525 = V567964 + 1. assign V344809 = V504521 + 1. assign V388786 = V000106 + 1. assign V650393 = V315587 - 1. assign V145177 = V418600. assign V659957 = V643967 + 1. assign V281595 = V354817 - 1. assign V720600 = V079155. assign V874731 = V335029 - 1. assign V682047 = V874731. assign V334159 = V772779 + 1. assign V542269 = V767491 - 1. assign V080152 = V657807 - 1. assign V585311 = V772779 - 1. assign V840282 = V281595 - 1. assign V758878 = V874731 + 1. assign V442656 = V832095. assign V995495 = V834648. assign V079155 = V354817 + 1. assign V354817 = V891084 + 1. assign V569393 = V832095 - 1. assign V148583 = V542269. assign V767491 = V891084 + 1. assign V956039 = V567964 + 1. assign V497489 = V736583. assign V335029 = V567964 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV242040 = 6;\n\nFrom these direct assignment(s), we have: \nV088492 = V242040 + 1 = 6 + 1 =7;\nNo other variables can be derived from V088492;\nNo other variables can be derived from V242040;\n\nNow we have done all the calculations. Derived variables are:\nV242040 = 6;\nV088492 = 7;\n\nNow we have finished this problem. ANSWER:\nV242040\n", "role": "assistant" } ]

[ "V253330" ]

[ { "content": "<context>\nassign V147359 = V676225 + 1. assign V605977 = V687685. assign V156862 = V253990 + 1. assign V818265 = V077381 - 1. assign V773843 = V601987. assign V908276 = V085970. assign V188548 = V379776 - 1. assign V657698 = V308612. assign V841784 = V105553 - 1. assign V928485 = V533339. assign V845021 = V676225 - 1. assign V142921 = V578444 + 1. assign V944408 = V066647. assign V880439 = V308612 + 1. assign V945679 = V841784 - 1. assign V275703 = V308612 + 1. assign V303588 = V520856 - 1. assign V705487 = 7. assign V601987 = V216211 - 1. assign V915166 = V043662. assign V218468 = V784826 + 1. assign V633912 = V785121 + 1. assign V242095 = V089475 + 1. assign V089475 = V331233 - 1. assign V658637 = V147359 + 1. assign V416911 = V774257 - 1. assign V048987 = V216211 - 1. assign V909966 = V111882 - 1. assign V066647 = V111882 - 1. assign V379776 = V216211 + 1. assign V526393 = V297016 - 1. assign V085970 = V845462 + 1. assign V571905 = V089475 + 1. assign V544072 = V578444 - 1. assign V720484 = V297016. assign V659281 = V134858 - 1. assign V684926 = V105553. assign V308612 = V105553 - 1. assign V082479 = V601987 + 1. assign V670262 = V048987. assign V320874 = V493586 + 1. assign V533331 = V085970 - 1. assign V422462 = V533339 + 1. assign V008955 = V493586 - 1. assign V111882 = V533339 - 1. assign V784826 = V571905. assign V785121 = V110879 + 1. assign V566250 = V533339. assign V570670 = V526393 + 1. assign V110879 = V578444 + 1. assign V578444 = V657698 + 1. assign V043662 = V684926. assign V297016 = V510898. assign V799296 = V253990. assign V798263 = V142921. assign V077381 = V928485. assign V774257 = V578444 + 1. assign V572041 = V928485. assign V134858 = V601987 + 1. assign V816530 = V586634. assign V845462 = V928485 + 1. assign V520856 = V841784. assign V493586 = V142921 - 1. assign V836758 = V105553 + 1. assign V676225 = V657698. assign V510898 = V043662 + 1. assign V216211 = V533339 + 1. assign V586634 = V909966 - 1. assign V687685 = V773877. assign V133224 = V641353. assign V004300 = V379776. assign V691836 = V308612 + 1. assign V105553 = V089475. assign V072913 = V784826 + 1. assign V728251 = V089475 - 1. assign V714489 = V945679 - 1. assign V512128 = V043662 - 1. assign V641353 = V526393. assign V331233 = V216211. assign V214696 = V416911. assign V253330 = V705487 + 1. assign V182547 = V082479. assign V168985 = V658637 + 1. assign V253990 = V216211 - 1. assign V212800 = V533339 - 1. assign V773877 = V493586.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V147359 = V676225 + 1. assign V605977 = V687685. assign V156862 = V253990 + 1. assign V818265 = V077381 - 1. assign V773843 = V601987. assign V908276 = V085970. assign V188548 = V379776 - 1. assign V657698 = V308612. assign V841784 = V105553 - 1. assign V928485 = V533339. assign V845021 = V676225 - 1. assign V142921 = V578444 + 1. assign V944408 = V066647. assign V880439 = V308612 + 1. assign V945679 = V841784 - 1. assign V275703 = V308612 + 1. assign V303588 = V520856 - 1. assign V705487 = 7. assign V601987 = V216211 - 1. assign V915166 = V043662. assign V218468 = V784826 + 1. assign V633912 = V785121 + 1. assign V242095 = V089475 + 1. assign V089475 = V331233 - 1. assign V658637 = V147359 + 1. assign V416911 = V774257 - 1. assign V048987 = V216211 - 1. assign V909966 = V111882 - 1. assign V066647 = V111882 - 1. assign V379776 = V216211 + 1. assign V526393 = V297016 - 1. assign V085970 = V845462 + 1. assign V571905 = V089475 + 1. assign V544072 = V578444 - 1. assign V720484 = V297016. assign V659281 = V134858 - 1. assign V684926 = V105553. assign V308612 = V105553 - 1. assign V082479 = V601987 + 1. assign V670262 = V048987. assign V320874 = V493586 + 1. assign V533331 = V085970 - 1. assign V422462 = V533339 + 1. assign V008955 = V493586 - 1. assign V111882 = V533339 - 1. assign V784826 = V571905. assign V785121 = V110879 + 1. assign V566250 = V533339. assign V570670 = V526393 + 1. assign V110879 = V578444 + 1. assign V578444 = V657698 + 1. assign V043662 = V684926. assign V297016 = V510898. assign V799296 = V253990. assign V798263 = V142921. assign V077381 = V928485. assign V774257 = V578444 + 1. assign V572041 = V928485. assign V134858 = V601987 + 1. assign V816530 = V586634. assign V845462 = V928485 + 1. assign V520856 = V841784. assign V493586 = V142921 - 1. assign V836758 = V105553 + 1. assign V676225 = V657698. assign V510898 = V043662 + 1. assign V216211 = V533339 + 1. assign V586634 = V909966 - 1. assign V687685 = V773877. assign V133224 = V641353. assign V004300 = V379776. assign V691836 = V308612 + 1. assign V105553 = V089475. assign V072913 = V784826 + 1. assign V728251 = V089475 - 1. assign V714489 = V945679 - 1. assign V512128 = V043662 - 1. assign V641353 = V526393. assign V331233 = V216211. assign V214696 = V416911. assign V253330 = V705487 + 1. assign V182547 = V082479. assign V168985 = V658637 + 1. assign V253990 = V216211 - 1. assign V212800 = V533339 - 1. assign V773877 = V493586.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV705487 = 7;\n\nFrom these direct assignment(s), we have: \nV253330 = V705487 + 1 = 7 + 1 =8;\nNo other variables can be derived from V253330;\nNo other variables can be derived from V705487;\n\nNow we have done all the calculations. Derived variables are:\nV705487 = 7;\nV253330 = 8;\n\nNow we have finished this problem. ANSWER:\nV253330\n", "role": "assistant" } ]

[ "V855577" ]

[ { "content": "<context>\nassign V632389 = V316822 + 1. assign V855577 = 8. assign V171698 = V962186 - 1. assign V857409 = V901791 + 1. assign V089531 = V076825. assign V739896 = V316978. assign V151671 = V977508. assign V218040 = V089531. assign V645841 = V010118 + 1. assign V321587 = V654375. assign V869044 = V336452 - 1. assign V935231 = V962186 - 1. assign V789229 = V824213 + 1. assign V403849 = V501790 + 1. assign V654375 = V316822 + 1. assign V841069 = V654375 - 1. assign V316978 = V563089 + 1. assign V456254 = V824213. assign V901791 = V658762 + 1. assign V026961 = V673461 + 1. assign V563089 = V225667 + 1. assign V336452 = V473145 + 1. assign V224907 = V629528 - 1. assign V606038 = V760080 - 1. assign V010118 = V654375 + 1. assign V866701 = V632389 + 1. assign V994061 = V347262 - 1. assign V118312 = V991087 + 1. assign V770053 = V855577 - 1. assign V658762 = V563089. assign V629528 = V760080 + 1. assign V267595 = V962186. assign V641868 = V901791. assign V695110 = V076825 - 1. assign V055088 = V404683 - 1. assign V420783 = V978581. assign V076825 = V632389. assign V212886 = V654375 - 1. assign V856860 = V118312. assign V225667 = V841069. assign V404683 = V026284 + 1. assign V794420 = V645841 + 1. assign V469882 = V962186. assign V281798 = V316822. assign V978581 = V593873. assign V810246 = V760080 + 1. assign V452229 = V563089. assign V501790 = V654375 - 1. assign V935360 = V010118. assign V135284 = V978581 + 1. assign V962114 = V824168. assign V962186 = V654375. assign V164121 = V645841 + 1. assign V157022 = V010118 + 1. assign V977508 = V654375 + 1. assign V558105 = V841069 - 1. assign V026284 = V978581 + 1. assign V347262 = V935231 + 1. assign V296886 = V336452 - 1. assign V660716 = V501790 + 1. assign V026816 = V901791 - 1. assign V427047 = V606038. assign V264155 = V473145. assign V279869 = V225667 - 1. assign V079938 = V632389. assign V461704 = V632389. assign V689527 = V452229 - 1. assign V316759 = V026816 - 1. assign V760080 = V321587 + 1. assign V069885 = V977508 - 1. assign V954917 = V978581 + 1. assign V988705 = V321587 + 1. assign V824168 = V841069 - 1. assign V140632 = V563089. assign V824213 = V321587 - 1. assign V543344 = V978581. assign V473145 = V824213. assign V487915 = V501790 - 1. assign V834222 = V641868. assign V511536 = V824213 - 1. assign V619474 = V641868 - 1. assign V273968 = V593873. assign V593873 = V010118 + 1. assign V991087 = V010118. assign V673461 = V089531. assign V178847 = V563089.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V632389 = V316822 + 1. assign V855577 = 8. assign V171698 = V962186 - 1. assign V857409 = V901791 + 1. assign V089531 = V076825. assign V739896 = V316978. assign V151671 = V977508. assign V218040 = V089531. assign V645841 = V010118 + 1. assign V321587 = V654375. assign V869044 = V336452 - 1. assign V935231 = V962186 - 1. assign V789229 = V824213 + 1. assign V403849 = V501790 + 1. assign V654375 = V316822 + 1. assign V841069 = V654375 - 1. assign V316978 = V563089 + 1. assign V456254 = V824213. assign V901791 = V658762 + 1. assign V026961 = V673461 + 1. assign V563089 = V225667 + 1. assign V336452 = V473145 + 1. assign V224907 = V629528 - 1. assign V606038 = V760080 - 1. assign V010118 = V654375 + 1. assign V866701 = V632389 + 1. assign V994061 = V347262 - 1. assign V118312 = V991087 + 1. assign V770053 = V855577 - 1. assign V658762 = V563089. assign V629528 = V760080 + 1. assign V267595 = V962186. assign V641868 = V901791. assign V695110 = V076825 - 1. assign V055088 = V404683 - 1. assign V420783 = V978581. assign V076825 = V632389. assign V212886 = V654375 - 1. assign V856860 = V118312. assign V225667 = V841069. assign V404683 = V026284 + 1. assign V794420 = V645841 + 1. assign V469882 = V962186. assign V281798 = V316822. assign V978581 = V593873. assign V810246 = V760080 + 1. assign V452229 = V563089. assign V501790 = V654375 - 1. assign V935360 = V010118. assign V135284 = V978581 + 1. assign V962114 = V824168. assign V962186 = V654375. assign V164121 = V645841 + 1. assign V157022 = V010118 + 1. assign V977508 = V654375 + 1. assign V558105 = V841069 - 1. assign V026284 = V978581 + 1. assign V347262 = V935231 + 1. assign V296886 = V336452 - 1. assign V660716 = V501790 + 1. assign V026816 = V901791 - 1. assign V427047 = V606038. assign V264155 = V473145. assign V279869 = V225667 - 1. assign V079938 = V632389. assign V461704 = V632389. assign V689527 = V452229 - 1. assign V316759 = V026816 - 1. assign V760080 = V321587 + 1. assign V069885 = V977508 - 1. assign V954917 = V978581 + 1. assign V988705 = V321587 + 1. assign V824168 = V841069 - 1. assign V140632 = V563089. assign V824213 = V321587 - 1. assign V543344 = V978581. assign V473145 = V824213. assign V487915 = V501790 - 1. assign V834222 = V641868. assign V511536 = V824213 - 1. assign V619474 = V641868 - 1. assign V273968 = V593873. assign V593873 = V010118 + 1. assign V991087 = V010118. assign V673461 = V089531. assign V178847 = V563089.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV855577 = 8;\n\nFrom these direct assignment(s), we have: \nV770053 = V855577 - 1 = 8 - 1 =7;\nNo other variables can be derived from V770053;\nNo other variables can be derived from V855577;\n\nNow we have done all the calculations. Derived variables are:\nV855577 = 8;\nV770053 = 7;\n\nNow we have finished this problem. ANSWER:\nV855577\n", "role": "assistant" } ]

[ "V940945" ]

[ { "content": "<context>\nassign V810128 = V172331 + 1. assign V578417 = V735932 + 1. assign V845061 = V305162. assign V976052 = V861254 + 1. assign V904690 = V735932 + 1. assign V206848 = V294741 + 1. assign V300579 = V821724 + 1. assign V141482 = 0. assign V680205 = V904690 + 1. assign V823786 = V807634. assign V133186 = V305162 - 1. assign V114181 = V735932. assign V305162 = V387731. assign V493450 = V133186 - 1. assign V629608 = V493450 - 1. assign V154194 = V735932. assign V089532 = V750956. assign V750956 = V294741 + 1. assign V940945 = V141482 - 1. assign V133891 = V821724 + 1. assign V008503 = V011357 - 1. assign V861254 = V010172 + 1. assign V010172 = V387731 - 1. assign V989102 = V321637 + 1. assign V594564 = V172331 - 1. assign V568519 = V525841 - 1. assign V981198 = V340090. assign V746571 = V629608. assign V527469 = V928280 + 1. assign V932516 = V478938. assign V641275 = V449631. assign V985225 = V928280. assign V216019 = V061321 + 1. assign V404050 = V716118 - 1. assign V666428 = V011357 - 1. assign V150694 = V845061 - 1. assign V172331 = V629608. assign V542007 = V203351 + 1. assign V415535 = V976021. assign V928280 = V305162 - 1. assign V401474 = V203351 + 1. assign V034216 = V810128 - 1. assign V805918 = V034216 + 1. assign V449631 = V856873 - 1. assign V779900 = V008503. assign V853357 = V821724 - 1. assign V294741 = V300579 - 1. assign V203351 = V807634. assign V011357 = V911035 - 1. assign V980443 = V011357 + 1. assign V911035 = V904690. assign V149941 = V904690 - 1. assign V757297 = V578417 + 1. assign V660324 = V387731 + 1. assign V227516 = V096674 + 1. assign V478938 = V779584 + 1. assign V856873 = V305162. assign V530673 = V203351. assign V481363 = V478938 + 1. assign V248115 = V010172. assign V096674 = V284565 + 1. assign V272707 = V542007 - 1. assign V797916 = V680205. assign V783198 = V842267 - 1. assign V976021 = V305162. assign V321637 = V716118 + 1. assign V244679 = V096674. assign V525841 = V493450. assign V792608 = V150694 - 1. assign V735932 = V387731 + 1. assign V794338 = V587821. assign V821724 = V578417 + 1. assign V842267 = V154194 + 1. assign V729313 = V542007 - 1. assign V587821 = V096674 + 1. assign V254643 = V750956 - 1. assign V807634 = V387731 - 1. assign V779584 = V976052. assign V061321 = V203351 - 1. assign V487970 = V284565 + 1. assign V716118 = V629608 + 1. assign V340090 = V015002 + 1. assign V542170 = V096674 - 1. assign V284565 = V845061 + 1. assign V035098 = V594564. assign V015002 = V735932 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V810128 = V172331 + 1. assign V578417 = V735932 + 1. assign V845061 = V305162. assign V976052 = V861254 + 1. assign V904690 = V735932 + 1. assign V206848 = V294741 + 1. assign V300579 = V821724 + 1. assign V141482 = 0. assign V680205 = V904690 + 1. assign V823786 = V807634. assign V133186 = V305162 - 1. assign V114181 = V735932. assign V305162 = V387731. assign V493450 = V133186 - 1. assign V629608 = V493450 - 1. assign V154194 = V735932. assign V089532 = V750956. assign V750956 = V294741 + 1. assign V940945 = V141482 - 1. assign V133891 = V821724 + 1. assign V008503 = V011357 - 1. assign V861254 = V010172 + 1. assign V010172 = V387731 - 1. assign V989102 = V321637 + 1. assign V594564 = V172331 - 1. assign V568519 = V525841 - 1. assign V981198 = V340090. assign V746571 = V629608. assign V527469 = V928280 + 1. assign V932516 = V478938. assign V641275 = V449631. assign V985225 = V928280. assign V216019 = V061321 + 1. assign V404050 = V716118 - 1. assign V666428 = V011357 - 1. assign V150694 = V845061 - 1. assign V172331 = V629608. assign V542007 = V203351 + 1. assign V415535 = V976021. assign V928280 = V305162 - 1. assign V401474 = V203351 + 1. assign V034216 = V810128 - 1. assign V805918 = V034216 + 1. assign V449631 = V856873 - 1. assign V779900 = V008503. assign V853357 = V821724 - 1. assign V294741 = V300579 - 1. assign V203351 = V807634. assign V011357 = V911035 - 1. assign V980443 = V011357 + 1. assign V911035 = V904690. assign V149941 = V904690 - 1. assign V757297 = V578417 + 1. assign V660324 = V387731 + 1. assign V227516 = V096674 + 1. assign V478938 = V779584 + 1. assign V856873 = V305162. assign V530673 = V203351. assign V481363 = V478938 + 1. assign V248115 = V010172. assign V096674 = V284565 + 1. assign V272707 = V542007 - 1. assign V797916 = V680205. assign V783198 = V842267 - 1. assign V976021 = V305162. assign V321637 = V716118 + 1. assign V244679 = V096674. assign V525841 = V493450. assign V792608 = V150694 - 1. assign V735932 = V387731 + 1. assign V794338 = V587821. assign V821724 = V578417 + 1. assign V842267 = V154194 + 1. assign V729313 = V542007 - 1. assign V587821 = V096674 + 1. assign V254643 = V750956 - 1. assign V807634 = V387731 - 1. assign V779584 = V976052. assign V061321 = V203351 - 1. assign V487970 = V284565 + 1. assign V716118 = V629608 + 1. assign V340090 = V015002 + 1. assign V542170 = V096674 - 1. assign V284565 = V845061 + 1. assign V035098 = V594564. assign V015002 = V735932 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV141482 = 0;\n\nFrom these direct assignment(s), we have: \nV940945 = V141482 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V940945;\nNo other variables can be derived from V141482;\n\nNow we have done all the calculations. Derived variables are:\nV141482 = 0;\nV940945 = -1;\n\nNow we have finished this problem. ANSWER:\nV940945\n", "role": "assistant" } ]

[ "V312275" ]

[ { "content": "<context>\nassign V589438 = V999518. assign V774399 = 0. assign V943838 = V999518. assign V347491 = V644800 + 1. assign V452223 = V878395 + 1. assign V150644 = V640005. assign V495012 = V999518 - 1. assign V274201 = V999518 - 1. assign V714064 = V993707. assign V571140 = V274201. assign V190300 = V434368 - 1. assign V640005 = V897052. assign V661024 = V644800 + 1. assign V752684 = V274201 + 1. assign V426612 = V571140 - 1. assign V318802 = V943838. assign V434368 = V716578. assign V403237 = V467248 + 1. assign V669455 = V569589 + 1. assign V080317 = V495012. assign V000220 = V999518 + 1. assign V998478 = V038411 - 1. assign V306947 = V714064. assign V537956 = V716578 + 1. assign V644047 = V716578 + 1. assign V878395 = V571140. assign V569589 = V000220 + 1. assign V994093 = V286760 - 1. assign V973656 = V426612. assign V162505 = V946983. assign V211162 = V426612. assign V684752 = V878395 + 1. assign V410361 = V134839 + 1. assign V946983 = V994093. assign V147991 = V684752 + 1. assign V650826 = V274201 + 1. assign V170298 = V134839 + 1. assign V196240 = V963547 + 1. assign V312275 = V774399 - 1. assign V672341 = V318802 + 1. assign V038411 = V286760. assign V963547 = V495012. assign V081832 = V031089. assign V462047 = V426612 + 1. assign V621100 = V973656. assign V127231 = V286760 - 1. assign V265890 = V598170 + 1. assign V098910 = V878395 + 1. assign V009991 = V537956 - 1. assign V333999 = V998478 + 1. assign V387062 = V286760 + 1. assign V704444 = V999518 - 1. assign V217156 = V102009. assign V286760 = V704444 - 1. assign V134839 = V000220 - 1. assign V031089 = V684752. assign V892575 = V265890 - 1. assign V792736 = V150644 + 1. assign V738840 = V716578. assign V889180 = V387062. assign V918506 = V031089. assign V581530 = V878395 - 1. assign V716578 = V274201 - 1. assign V380023 = V943838. assign V128967 = V889180 - 1. assign V897052 = V038411. assign V102009 = V387062 - 1. assign V644800 = V973656. assign V845369 = V897052 - 1. assign V182407 = V878395. assign V655543 = V581530 - 1. assign V714660 = V963278. assign V058812 = V333999 - 1. assign V993707 = V704444. assign V963278 = V387062 + 1. assign V467248 = V134839 - 1. assign V626101 = V434368 - 1. assign V219579 = V009991. assign V089758 = V644800 + 1. assign V598170 = V684752 + 1. assign V395861 = V994093 - 1. assign V869620 = V089758. assign V551406 = V878395. assign V328264 = V973656. assign V204675 = V714660 + 1. assign V917314 = V589438 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V589438 = V999518. assign V774399 = 0. assign V943838 = V999518. assign V347491 = V644800 + 1. assign V452223 = V878395 + 1. assign V150644 = V640005. assign V495012 = V999518 - 1. assign V274201 = V999518 - 1. assign V714064 = V993707. assign V571140 = V274201. assign V190300 = V434368 - 1. assign V640005 = V897052. assign V661024 = V644800 + 1. assign V752684 = V274201 + 1. assign V426612 = V571140 - 1. assign V318802 = V943838. assign V434368 = V716578. assign V403237 = V467248 + 1. assign V669455 = V569589 + 1. assign V080317 = V495012. assign V000220 = V999518 + 1. assign V998478 = V038411 - 1. assign V306947 = V714064. assign V537956 = V716578 + 1. assign V644047 = V716578 + 1. assign V878395 = V571140. assign V569589 = V000220 + 1. assign V994093 = V286760 - 1. assign V973656 = V426612. assign V162505 = V946983. assign V211162 = V426612. assign V684752 = V878395 + 1. assign V410361 = V134839 + 1. assign V946983 = V994093. assign V147991 = V684752 + 1. assign V650826 = V274201 + 1. assign V170298 = V134839 + 1. assign V196240 = V963547 + 1. assign V312275 = V774399 - 1. assign V672341 = V318802 + 1. assign V038411 = V286760. assign V963547 = V495012. assign V081832 = V031089. assign V462047 = V426612 + 1. assign V621100 = V973656. assign V127231 = V286760 - 1. assign V265890 = V598170 + 1. assign V098910 = V878395 + 1. assign V009991 = V537956 - 1. assign V333999 = V998478 + 1. assign V387062 = V286760 + 1. assign V704444 = V999518 - 1. assign V217156 = V102009. assign V286760 = V704444 - 1. assign V134839 = V000220 - 1. assign V031089 = V684752. assign V892575 = V265890 - 1. assign V792736 = V150644 + 1. assign V738840 = V716578. assign V889180 = V387062. assign V918506 = V031089. assign V581530 = V878395 - 1. assign V716578 = V274201 - 1. assign V380023 = V943838. assign V128967 = V889180 - 1. assign V897052 = V038411. assign V102009 = V387062 - 1. assign V644800 = V973656. assign V845369 = V897052 - 1. assign V182407 = V878395. assign V655543 = V581530 - 1. assign V714660 = V963278. assign V058812 = V333999 - 1. assign V993707 = V704444. assign V963278 = V387062 + 1. assign V467248 = V134839 - 1. assign V626101 = V434368 - 1. assign V219579 = V009991. assign V089758 = V644800 + 1. assign V598170 = V684752 + 1. assign V395861 = V994093 - 1. assign V869620 = V089758. assign V551406 = V878395. assign V328264 = V973656. assign V204675 = V714660 + 1. assign V917314 = V589438 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV774399 = 0;\n\nFrom these direct assignment(s), we have: \nV312275 = V774399 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V312275;\nNo other variables can be derived from V774399;\n\nNow we have done all the calculations. Derived variables are:\nV774399 = 0;\nV312275 = -1;\n\nNow we have finished this problem. ANSWER:\nV312275\n", "role": "assistant" } ]

[ "V136304" ]

[ { "content": "<context>\nassign V426868 = V663217 + 1. assign V609801 = V304501 + 1. assign V985451 = V467264 + 1. assign V601727 = V627840 - 1. assign V413090 = V242583. assign V676578 = V634959. assign V835562 = V663217 - 1. assign V601544 = V751097 + 1. assign V410979 = V498156. assign V736690 = V697044. assign V782648 = V397371. assign V525495 = V645000 - 1. assign V467264 = V759608 + 1. assign V539000 = V985451 + 1. assign V492220 = V840515 + 1. assign V562956 = V627840 - 1. assign V939901 = V686557 + 1. assign V627840 = V875053. assign V953975 = V601359. assign V932191 = V686557. assign V006402 = V634959. assign V601359 = V525495 - 1. assign V626010 = V570662 - 1. assign V840515 = V487261 + 1. assign V582799 = V627840. assign V391167 = V759608. assign V134360 = V525495 + 1. assign V847843 = V467264 + 1. assign V094365 = V609801. assign V494728 = V676578 - 1. assign V875053 = V134360 + 1. assign V936124 = V609801 + 1. assign V211296 = V609801. assign V590255 = V609801 - 1. assign V383673 = V888663 - 1. assign V745228 = V397371 + 1. assign V120465 = V487261. assign V967782 = V759608. assign V487261 = V898860 - 1. assign V691072 = V525495. assign V820803 = V094365. assign V429395 = V609801 - 1. assign V406852 = V211296 - 1. assign V498156 = V304501. assign V761332 = V304501 - 1. assign V136304 = V351363 - 1. assign V693139 = V498352 - 1. assign V656712 = V487261 - 1. assign V212674 = V676578 - 1. assign V532869 = V697044. assign V826317 = V601544 - 1. assign V033032 = V467508 + 1. assign V759608 = V498156 + 1. assign V013976 = V492220. assign V304501 = V525495 - 1. assign V841793 = V686557. assign V498352 = V736690 + 1. assign V938226 = V033032. assign V918195 = V691072 + 1. assign V226362 = V467264 - 1. assign V418785 = V242583 - 1. assign V275345 = V410979. assign V686557 = V691072. assign V397371 = V609801. assign V394862 = V304501 + 1. assign V699470 = V134360 + 1. assign V021897 = V429395 + 1. assign V467508 = V467264. assign V697044 = V525495. assign V570662 = V932191 + 1. assign V742606 = V872673 - 1. assign V351363 = 3. assign V751097 = V609801 - 1. assign V242583 = V498156. assign V789297 = V429395 + 1. assign V897555 = V697044. assign V898860 = V304501. assign V576522 = V487261. assign V729327 = V939901. assign V898898 = V782648 - 1. assign V888663 = V609801 + 1. assign V872673 = V609801 + 1. assign V959663 = V397371 + 1. assign V663217 = V410979 + 1. assign V527499 = V498352 - 1. assign V634959 = V304501.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V426868 = V663217 + 1. assign V609801 = V304501 + 1. assign V985451 = V467264 + 1. assign V601727 = V627840 - 1. assign V413090 = V242583. assign V676578 = V634959. assign V835562 = V663217 - 1. assign V601544 = V751097 + 1. assign V410979 = V498156. assign V736690 = V697044. assign V782648 = V397371. assign V525495 = V645000 - 1. assign V467264 = V759608 + 1. assign V539000 = V985451 + 1. assign V492220 = V840515 + 1. assign V562956 = V627840 - 1. assign V939901 = V686557 + 1. assign V627840 = V875053. assign V953975 = V601359. assign V932191 = V686557. assign V006402 = V634959. assign V601359 = V525495 - 1. assign V626010 = V570662 - 1. assign V840515 = V487261 + 1. assign V582799 = V627840. assign V391167 = V759608. assign V134360 = V525495 + 1. assign V847843 = V467264 + 1. assign V094365 = V609801. assign V494728 = V676578 - 1. assign V875053 = V134360 + 1. assign V936124 = V609801 + 1. assign V211296 = V609801. assign V590255 = V609801 - 1. assign V383673 = V888663 - 1. assign V745228 = V397371 + 1. assign V120465 = V487261. assign V967782 = V759608. assign V487261 = V898860 - 1. assign V691072 = V525495. assign V820803 = V094365. assign V429395 = V609801 - 1. assign V406852 = V211296 - 1. assign V498156 = V304501. assign V761332 = V304501 - 1. assign V136304 = V351363 - 1. assign V693139 = V498352 - 1. assign V656712 = V487261 - 1. assign V212674 = V676578 - 1. assign V532869 = V697044. assign V826317 = V601544 - 1. assign V033032 = V467508 + 1. assign V759608 = V498156 + 1. assign V013976 = V492220. assign V304501 = V525495 - 1. assign V841793 = V686557. assign V498352 = V736690 + 1. assign V938226 = V033032. assign V918195 = V691072 + 1. assign V226362 = V467264 - 1. assign V418785 = V242583 - 1. assign V275345 = V410979. assign V686557 = V691072. assign V397371 = V609801. assign V394862 = V304501 + 1. assign V699470 = V134360 + 1. assign V021897 = V429395 + 1. assign V467508 = V467264. assign V697044 = V525495. assign V570662 = V932191 + 1. assign V742606 = V872673 - 1. assign V351363 = 3. assign V751097 = V609801 - 1. assign V242583 = V498156. assign V789297 = V429395 + 1. assign V897555 = V697044. assign V898860 = V304501. assign V576522 = V487261. assign V729327 = V939901. assign V898898 = V782648 - 1. assign V888663 = V609801 + 1. assign V872673 = V609801 + 1. assign V959663 = V397371 + 1. assign V663217 = V410979 + 1. assign V527499 = V498352 - 1. assign V634959 = V304501.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV351363 = 3;\n\nFrom these direct assignment(s), we have: \nV136304 = V351363 - 1 = 3 - 1 =2;\nNo other variables can be derived from V136304;\nNo other variables can be derived from V351363;\n\nNow we have done all the calculations. Derived variables are:\nV351363 = 3;\nV136304 = 2;\n\nNow we have finished this problem. ANSWER:\nV136304\n", "role": "assistant" } ]

[ "V907513" ]

[ { "content": "<context>\nassign V812756 = V737009. assign V149987 = V861689 + 1. assign V120867 = V881986 - 1. assign V438951 = V982223. assign V301314 = V476013 - 1. assign V275098 = V602227. assign V813556 = V275098. assign V095047 = V424283 + 1. assign V747473 = V829394 + 1. assign V507441 = V380062 + 1. assign V225363 = V293288 - 1. assign V253301 = V380062 + 1. assign V757074 = V101415 + 1. assign V380062 = V293288 + 1. assign V941444 = V602227 - 1. assign V540340 = V907513 + 1. assign V700264 = V290258 - 1. assign V290258 = V293288 - 1. assign V713943 = V282532. assign V753177 = V158249. assign V624427 = V293288. assign V120975 = V624427 + 1. assign V415930 = V546480 - 1. assign V982223 = V363624. assign V468303 = V861602 + 1. assign V559878 = V282532 - 1. assign V576160 = V253301 - 1. assign V894433 = V795474. assign V782987 = V363624 + 1. assign V445263 = V293288 + 1. assign V715677 = V476013 - 1. assign V673288 = V847538 + 1. assign V546480 = V293288 + 1. assign V966399 = V468303 + 1. assign V460795 = V269867 - 1. assign V561604 = V445263 + 1. assign V861689 = V737009. assign V345116 = V289431 - 1. assign V737009 = V445263 - 1. assign V363624 = V956133 - 1. assign V549713 = V269867 - 1. assign V844626 = V847538 - 1. assign V215102 = V289431. assign V401688 = V289431. assign V332609 = V289431 + 1. assign V829394 = V612010 + 1. assign V899775 = V737009 + 1. assign V907513 = 5. assign V653725 = V829394 - 1. assign V861602 = V612010 + 1. assign V158249 = V624427 - 1. assign V847538 = V269867. assign V157553 = V293288 + 1. assign V282532 = V812756 + 1. assign V043056 = V737009. assign V460321 = V393096. assign V073341 = V460795 - 1. assign V393096 = V380062 - 1. assign V101415 = V982223 - 1. assign V612010 = V956133 + 1. assign V478221 = V445263. assign V881986 = V602227 + 1. assign V795474 = V269867 + 1. assign V214911 = V624427 - 1. assign V602227 = V795474. assign V545131 = V275098 - 1. assign V216422 = V561604 + 1. assign V645284 = V507441 + 1. assign V269867 = V293288 + 1. assign V342355 = V624427. assign V698887 = V345116 + 1. assign V424283 = V766647 - 1. assign V427488 = V269867 - 1. assign V164458 = V216422 + 1. assign V187525 = V813556 - 1. assign V719502 = V612010 + 1. assign V454074 = V393096 + 1. assign V398845 = V275098 - 1. assign V766647 = V149987 + 1. assign V956133 = V602227 - 1. assign V838303 = V187525 + 1. assign V634483 = V289431 + 1. assign V768824 = V847538 + 1. assign V476013 = V713943 + 1. assign V289431 = V282532 - 1. assign V739567 = V476013 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V812756 = V737009. assign V149987 = V861689 + 1. assign V120867 = V881986 - 1. assign V438951 = V982223. assign V301314 = V476013 - 1. assign V275098 = V602227. assign V813556 = V275098. assign V095047 = V424283 + 1. assign V747473 = V829394 + 1. assign V507441 = V380062 + 1. assign V225363 = V293288 - 1. assign V253301 = V380062 + 1. assign V757074 = V101415 + 1. assign V380062 = V293288 + 1. assign V941444 = V602227 - 1. assign V540340 = V907513 + 1. assign V700264 = V290258 - 1. assign V290258 = V293288 - 1. assign V713943 = V282532. assign V753177 = V158249. assign V624427 = V293288. assign V120975 = V624427 + 1. assign V415930 = V546480 - 1. assign V982223 = V363624. assign V468303 = V861602 + 1. assign V559878 = V282532 - 1. assign V576160 = V253301 - 1. assign V894433 = V795474. assign V782987 = V363624 + 1. assign V445263 = V293288 + 1. assign V715677 = V476013 - 1. assign V673288 = V847538 + 1. assign V546480 = V293288 + 1. assign V966399 = V468303 + 1. assign V460795 = V269867 - 1. assign V561604 = V445263 + 1. assign V861689 = V737009. assign V345116 = V289431 - 1. assign V737009 = V445263 - 1. assign V363624 = V956133 - 1. assign V549713 = V269867 - 1. assign V844626 = V847538 - 1. assign V215102 = V289431. assign V401688 = V289431. assign V332609 = V289431 + 1. assign V829394 = V612010 + 1. assign V899775 = V737009 + 1. assign V907513 = 5. assign V653725 = V829394 - 1. assign V861602 = V612010 + 1. assign V158249 = V624427 - 1. assign V847538 = V269867. assign V157553 = V293288 + 1. assign V282532 = V812756 + 1. assign V043056 = V737009. assign V460321 = V393096. assign V073341 = V460795 - 1. assign V393096 = V380062 - 1. assign V101415 = V982223 - 1. assign V612010 = V956133 + 1. assign V478221 = V445263. assign V881986 = V602227 + 1. assign V795474 = V269867 + 1. assign V214911 = V624427 - 1. assign V602227 = V795474. assign V545131 = V275098 - 1. assign V216422 = V561604 + 1. assign V645284 = V507441 + 1. assign V269867 = V293288 + 1. assign V342355 = V624427. assign V698887 = V345116 + 1. assign V424283 = V766647 - 1. assign V427488 = V269867 - 1. assign V164458 = V216422 + 1. assign V187525 = V813556 - 1. assign V719502 = V612010 + 1. assign V454074 = V393096 + 1. assign V398845 = V275098 - 1. assign V766647 = V149987 + 1. assign V956133 = V602227 - 1. assign V838303 = V187525 + 1. assign V634483 = V289431 + 1. assign V768824 = V847538 + 1. assign V476013 = V713943 + 1. assign V289431 = V282532 - 1. assign V739567 = V476013 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV907513 = 5;\n\nFrom these direct assignment(s), we have: \nV540340 = V907513 + 1 = 5 + 1 =6;\nNo other variables can be derived from V540340;\nNo other variables can be derived from V907513;\n\nNow we have done all the calculations. Derived variables are:\nV907513 = 5;\nV540340 = 6;\n\nNow we have finished this problem. ANSWER:\nV907513\n", "role": "assistant" } ]

[ "V816221", "V945721" ]

[ { "content": "<context>\nassign V554901 = V055500 + 1. assign V180601 = V481851. assign V945721 = V816221. assign V610430 = V321976 - 1. assign V570584 = V321976. assign V355238 = V857549 - 1. assign V321976 = V459989 - 1. assign V157715 = V485059 + 1. assign V001989 = V451544 + 1. assign V683685 = V787846 - 1. assign V148767 = V724255 + 1. assign V565858 = V148767 - 1. assign V750432 = V897810. assign V125672 = V476713 + 1. assign V091103 = V416340. assign V032994 = V422644 - 1. assign V634168 = V239641. assign V840570 = V317372 + 1. assign V069175 = V485059 + 1. assign V528251 = V412724 - 1. assign V715172 = V148767 + 1. assign V402514 = V065704 + 1. assign V395921 = V069175 - 1. assign V530864 = V035922 - 1. assign V143022 = V802825. assign V422644 = V416340. assign V912246 = V807686 + 1. assign V904899 = V069175 + 1. assign V239641 = V317372 - 1. assign V089450 = V065704 + 1. assign V943545 = V813460. assign V130397 = V459989 - 1. assign V153230 = V965146 + 1. assign V893158 = V459832 - 1. assign V724255 = V091103 + 1. assign V485059 = V813460 - 1. assign V930038 = V320680. assign V317372 = V549707 + 1. assign V065704 = V190394 + 1. assign V214439 = V897810 + 1. assign V190394 = V488748. assign V296907 = V459989. assign V451544 = V032994 + 1. assign V430683 = V157715 - 1. assign V901991 = V214439 + 1. assign V787846 = V565858 - 1. assign V118145 = V488748 + 1. assign V443223 = V470255 - 1. assign V284204 = V807686. assign V365236 = V912246 - 1. assign V340628 = V190394 + 1. assign V499490 = V422644 + 1. assign V363460 = V610430 - 1. assign V476713 = V065704 + 1. assign V270262 = V724255. assign V818727 = V091103 - 1. assign V162791 = V321976 + 1. assign V897810 = V857549 - 1. assign V816221 = 2. assign V952287 = V459832. assign V035922 = V499490 - 1. assign V416340 = V549707 + 1. assign V857549 = V091103 - 1. assign V844826 = V321976 - 1. assign V459989 = V118145. assign V961873 = V239641 - 1. assign V757010 = V296907 - 1. assign V408515 = V837730 - 1. assign V965146 = V032994 + 1. assign V508934 = V317372 + 1. assign V215188 = V565858. assign V549707 = V350555 - 1. assign V807686 = V897810. assign V802825 = V350555 - 1. assign V376681 = V408515 + 1. assign V055500 = V451544. assign V350555 = V488748 - 1. assign V587527 = V402514 + 1. assign V813460 = V549707 - 1. assign V459832 = V416340. assign V388260 = V422644. assign V837730 = V802825 + 1. assign V320680 = V807686 + 1. assign V470255 = V802825 - 1. assign V481851 = V802825 + 1. assign V412724 = V481851.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V554901 = V055500 + 1. assign V180601 = V481851. assign V945721 = V816221. assign V610430 = V321976 - 1. assign V570584 = V321976. assign V355238 = V857549 - 1. assign V321976 = V459989 - 1. assign V157715 = V485059 + 1. assign V001989 = V451544 + 1. assign V683685 = V787846 - 1. assign V148767 = V724255 + 1. assign V565858 = V148767 - 1. assign V750432 = V897810. assign V125672 = V476713 + 1. assign V091103 = V416340. assign V032994 = V422644 - 1. assign V634168 = V239641. assign V840570 = V317372 + 1. assign V069175 = V485059 + 1. assign V528251 = V412724 - 1. assign V715172 = V148767 + 1. assign V402514 = V065704 + 1. assign V395921 = V069175 - 1. assign V530864 = V035922 - 1. assign V143022 = V802825. assign V422644 = V416340. assign V912246 = V807686 + 1. assign V904899 = V069175 + 1. assign V239641 = V317372 - 1. assign V089450 = V065704 + 1. assign V943545 = V813460. assign V130397 = V459989 - 1. assign V153230 = V965146 + 1. assign V893158 = V459832 - 1. assign V724255 = V091103 + 1. assign V485059 = V813460 - 1. assign V930038 = V320680. assign V317372 = V549707 + 1. assign V065704 = V190394 + 1. assign V214439 = V897810 + 1. assign V190394 = V488748. assign V296907 = V459989. assign V451544 = V032994 + 1. assign V430683 = V157715 - 1. assign V901991 = V214439 + 1. assign V787846 = V565858 - 1. assign V118145 = V488748 + 1. assign V443223 = V470255 - 1. assign V284204 = V807686. assign V365236 = V912246 - 1. assign V340628 = V190394 + 1. assign V499490 = V422644 + 1. assign V363460 = V610430 - 1. assign V476713 = V065704 + 1. assign V270262 = V724255. assign V818727 = V091103 - 1. assign V162791 = V321976 + 1. assign V897810 = V857549 - 1. assign V816221 = 2. assign V952287 = V459832. assign V035922 = V499490 - 1. assign V416340 = V549707 + 1. assign V857549 = V091103 - 1. assign V844826 = V321976 - 1. assign V459989 = V118145. assign V961873 = V239641 - 1. assign V757010 = V296907 - 1. assign V408515 = V837730 - 1. assign V965146 = V032994 + 1. assign V508934 = V317372 + 1. assign V215188 = V565858. assign V549707 = V350555 - 1. assign V807686 = V897810. assign V802825 = V350555 - 1. assign V376681 = V408515 + 1. assign V055500 = V451544. assign V350555 = V488748 - 1. assign V587527 = V402514 + 1. assign V813460 = V549707 - 1. assign V459832 = V416340. assign V388260 = V422644. assign V837730 = V802825 + 1. assign V320680 = V807686 + 1. assign V470255 = V802825 - 1. assign V481851 = V802825 + 1. assign V412724 = V481851.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV816221 = 2;\n\nFrom these direct assignment(s), we have: \nV945721 = V816221 = 2;\nNo other variables can be derived from V945721;\nNo other variables can be derived from V816221;\n\nNow we have done all the calculations. Derived variables are:\nV816221 = 2;\nV945721 = 2;\n\nNow we have finished this problem. ANSWER:\nV816221, V945721\n", "role": "assistant" } ]

[ "V152469", "V917114" ]

[ { "content": "<context>\nassign V740263 = V924385 + 1. assign V681293 = V738872. assign V146259 = V760697 - 1. assign V378801 = V551132 - 1. assign V760697 = V466582 - 1. assign V354754 = V740263 - 1. assign V364507 = V262775 - 1. assign V153520 = V670994. assign V907518 = V153520 - 1. assign V541582 = V421505. assign V049304 = V796874 + 1. assign V712814 = V597232 - 1. assign V196645 = V530188. assign V529485 = V235006 - 1. assign V531341 = V129561. assign V180931 = V986370 + 1. assign V838080 = V266212 + 1. assign V145497 = V670994. assign V540372 = V145497. assign V223708 = V760697 - 1. assign V537067 = V235006 - 1. assign V158199 = V421505 - 1. assign V810535 = V580445. assign V770132 = V364507. assign V250262 = V185780. assign V924385 = V196645. assign V183538 = V627616 - 1. assign V627616 = V925455 - 1. assign V185780 = V551132 + 1. assign V554391 = V866265 - 1. assign V262775 = V153520 + 1. assign V193882 = V532021. assign V919517 = V466582 + 1. assign V024812 = V934703. assign V325304 = V193882 - 1. assign V245901 = V019819. assign V580445 = V530188 + 1. assign V738872 = V466582. assign V934703 = V760697 - 1. assign V724308 = V266212 - 1. assign V131124 = V391934 - 1. assign V925455 = V057438. assign V519736 = V770132. assign V057438 = V391934 - 1. assign V188169 = V158199 + 1. assign V866265 = V223708 - 1. assign V911001 = V466582 + 1. assign V508336 = V266212. assign V922473 = V185780 + 1. assign V905223 = V391934 - 1. assign V986370 = V466582. assign V917114 = V152469. assign V056241 = V262775 + 1. assign V311584 = V391934 + 1. assign V172927 = V580445 - 1. assign V213139 = V325304 - 1. assign V129561 = V670994 - 1. assign V670994 = V760697 + 1. assign V593153 = V541582 - 1. assign V551132 = V391934 - 1. assign V898784 = V325304. assign V939994 = V145497 - 1. assign V008205 = V541582. assign V138274 = V131124 - 1. assign V266212 = V158199 - 1. assign V442679 = V909391 - 1. assign V909391 = V196645 + 1. assign V071077 = V466582. assign V152469 = 4. assign V610840 = V019819 + 1. assign V532021 = V019819 - 1. assign V478981 = V019819 + 1. assign V019819 = V391934 - 1. assign V235006 = V311584 + 1. assign V421505 = V738872 + 1. assign V597232 = V633169 - 1. assign V805651 = V250262. assign V633169 = V760697 - 1. assign V712267 = V580445 - 1. assign V578016 = V580445 - 1. assign V765301 = V245901 + 1. assign V530188 = V129561. assign V796874 = V056241 + 1. assign V353219 = V071077. assign V239772 = V325304. assign V391934 = V633169 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V740263 = V924385 + 1. assign V681293 = V738872. assign V146259 = V760697 - 1. assign V378801 = V551132 - 1. assign V760697 = V466582 - 1. assign V354754 = V740263 - 1. assign V364507 = V262775 - 1. assign V153520 = V670994. assign V907518 = V153520 - 1. assign V541582 = V421505. assign V049304 = V796874 + 1. assign V712814 = V597232 - 1. assign V196645 = V530188. assign V529485 = V235006 - 1. assign V531341 = V129561. assign V180931 = V986370 + 1. assign V838080 = V266212 + 1. assign V145497 = V670994. assign V540372 = V145497. assign V223708 = V760697 - 1. assign V537067 = V235006 - 1. assign V158199 = V421505 - 1. assign V810535 = V580445. assign V770132 = V364507. assign V250262 = V185780. assign V924385 = V196645. assign V183538 = V627616 - 1. assign V627616 = V925455 - 1. assign V185780 = V551132 + 1. assign V554391 = V866265 - 1. assign V262775 = V153520 + 1. assign V193882 = V532021. assign V919517 = V466582 + 1. assign V024812 = V934703. assign V325304 = V193882 - 1. assign V245901 = V019819. assign V580445 = V530188 + 1. assign V738872 = V466582. assign V934703 = V760697 - 1. assign V724308 = V266212 - 1. assign V131124 = V391934 - 1. assign V925455 = V057438. assign V519736 = V770132. assign V057438 = V391934 - 1. assign V188169 = V158199 + 1. assign V866265 = V223708 - 1. assign V911001 = V466582 + 1. assign V508336 = V266212. assign V922473 = V185780 + 1. assign V905223 = V391934 - 1. assign V986370 = V466582. assign V917114 = V152469. assign V056241 = V262775 + 1. assign V311584 = V391934 + 1. assign V172927 = V580445 - 1. assign V213139 = V325304 - 1. assign V129561 = V670994 - 1. assign V670994 = V760697 + 1. assign V593153 = V541582 - 1. assign V551132 = V391934 - 1. assign V898784 = V325304. assign V939994 = V145497 - 1. assign V008205 = V541582. assign V138274 = V131124 - 1. assign V266212 = V158199 - 1. assign V442679 = V909391 - 1. assign V909391 = V196645 + 1. assign V071077 = V466582. assign V152469 = 4. assign V610840 = V019819 + 1. assign V532021 = V019819 - 1. assign V478981 = V019819 + 1. assign V019819 = V391934 - 1. assign V235006 = V311584 + 1. assign V421505 = V738872 + 1. assign V597232 = V633169 - 1. assign V805651 = V250262. assign V633169 = V760697 - 1. assign V712267 = V580445 - 1. assign V578016 = V580445 - 1. assign V765301 = V245901 + 1. assign V530188 = V129561. assign V796874 = V056241 + 1. assign V353219 = V071077. assign V239772 = V325304. assign V391934 = V633169 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV152469 = 4;\n\nFrom these direct assignment(s), we have: \nV917114 = V152469 = 4;\nNo other variables can be derived from V917114;\nNo other variables can be derived from V152469;\n\nNow we have done all the calculations. Derived variables are:\nV152469 = 4;\nV917114 = 4;\n\nNow we have finished this problem. ANSWER:\nV152469, V917114\n", "role": "assistant" } ]

[ "V011295" ]

[ { "content": "<context>\nassign V442621 = V195832 - 1. assign V128161 = V702412 - 1. assign V914128 = V357704 + 1. assign V089838 = V497464 + 1. assign V904905 = V653462. assign V006554 = V062271 + 1. assign V666833 = V411332 + 1. assign V374160 = V224273. assign V387565 = V224273 - 1. assign V570066 = V224273. assign V858704 = V509230 + 1. assign V049792 = V043119 + 1. assign V832104 = V065442 + 1. assign V355614 = V411332 - 1. assign V957845 = V014866. assign V978552 = V793404. assign V509230 = V224273. assign V510772 = V059827 - 1. assign V636662 = V411332. assign V272963 = V255089. assign V489939 = V255089 + 1. assign V648837 = V255089 - 1. assign V019625 = V553553. assign V144705 = V509230 - 1. assign V446628 = V793404. assign V228142 = V879362 - 1. assign V215045 = V224273 - 1. assign V919260 = V357704. assign V940853 = V497464. assign V844016 = V062271 - 1. assign V006061 = V387565. assign V546834 = V206331. assign V291538 = V043119. assign V182563 = V224273. assign V135682 = V509230 - 1. assign V944759 = V059827 - 1. assign V043119 = V062271. assign V484630 = V429339 - 1. assign V651646 = V011295 - 1. assign V191310 = V701832. assign V065442 = V374160. assign V014866 = V489939 + 1. assign V656124 = V509230. assign V959262 = V781254. assign V661778 = V553553. assign V246184 = V182563 - 1. assign V115302 = V844016. assign V702412 = V006554 + 1. assign V255873 = V043119. assign V428064 = V191310 - 1. assign V357704 = V570066 + 1. assign V497464 = V411332 - 1. assign V781254 = V411332 - 1. assign V691454 = V049792 - 1. assign V255089 = V429339 + 1. assign V740608 = V439087 + 1. assign V407127 = V691454. assign V059827 = V357704 - 1. assign V206331 = V049792. assign V020318 = V387565 + 1. assign V701832 = V858704. assign V646035 = V489939 - 1. assign V410334 = V387565 + 1. assign V793404 = V411332 + 1. assign V241779 = V465458 + 1. assign V011295 = 6. assign V429339 = V497464 + 1. assign V879362 = V646035 + 1. assign V157147 = V793404 - 1. assign V276609 = V666833. assign V109499 = V497464. assign V653462 = V144705 + 1. assign V195832 = V648837. assign V224273 = V497464 + 1. assign V681717 = V465458 + 1. assign V010785 = V636662 + 1. assign V859117 = V781254 + 1. assign V975557 = V062271 + 1. assign V062271 = V224273. assign V643701 = V914128 + 1. assign V439087 = V510772. assign V179570 = V648837 - 1. assign V965519 = V919260. assign V503975 = V255089 + 1. assign V465458 = V006554 + 1. assign V553553 = V144705 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V442621 = V195832 - 1. assign V128161 = V702412 - 1. assign V914128 = V357704 + 1. assign V089838 = V497464 + 1. assign V904905 = V653462. assign V006554 = V062271 + 1. assign V666833 = V411332 + 1. assign V374160 = V224273. assign V387565 = V224273 - 1. assign V570066 = V224273. assign V858704 = V509230 + 1. assign V049792 = V043119 + 1. assign V832104 = V065442 + 1. assign V355614 = V411332 - 1. assign V957845 = V014866. assign V978552 = V793404. assign V509230 = V224273. assign V510772 = V059827 - 1. assign V636662 = V411332. assign V272963 = V255089. assign V489939 = V255089 + 1. assign V648837 = V255089 - 1. assign V019625 = V553553. assign V144705 = V509230 - 1. assign V446628 = V793404. assign V228142 = V879362 - 1. assign V215045 = V224273 - 1. assign V919260 = V357704. assign V940853 = V497464. assign V844016 = V062271 - 1. assign V006061 = V387565. assign V546834 = V206331. assign V291538 = V043119. assign V182563 = V224273. assign V135682 = V509230 - 1. assign V944759 = V059827 - 1. assign V043119 = V062271. assign V484630 = V429339 - 1. assign V651646 = V011295 - 1. assign V191310 = V701832. assign V065442 = V374160. assign V014866 = V489939 + 1. assign V656124 = V509230. assign V959262 = V781254. assign V661778 = V553553. assign V246184 = V182563 - 1. assign V115302 = V844016. assign V702412 = V006554 + 1. assign V255873 = V043119. assign V428064 = V191310 - 1. assign V357704 = V570066 + 1. assign V497464 = V411332 - 1. assign V781254 = V411332 - 1. assign V691454 = V049792 - 1. assign V255089 = V429339 + 1. assign V740608 = V439087 + 1. assign V407127 = V691454. assign V059827 = V357704 - 1. assign V206331 = V049792. assign V020318 = V387565 + 1. assign V701832 = V858704. assign V646035 = V489939 - 1. assign V410334 = V387565 + 1. assign V793404 = V411332 + 1. assign V241779 = V465458 + 1. assign V011295 = 6. assign V429339 = V497464 + 1. assign V879362 = V646035 + 1. assign V157147 = V793404 - 1. assign V276609 = V666833. assign V109499 = V497464. assign V653462 = V144705 + 1. assign V195832 = V648837. assign V224273 = V497464 + 1. assign V681717 = V465458 + 1. assign V010785 = V636662 + 1. assign V859117 = V781254 + 1. assign V975557 = V062271 + 1. assign V062271 = V224273. assign V643701 = V914128 + 1. assign V439087 = V510772. assign V179570 = V648837 - 1. assign V965519 = V919260. assign V503975 = V255089 + 1. assign V465458 = V006554 + 1. assign V553553 = V144705 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV011295 = 6;\n\nFrom these direct assignment(s), we have: \nV651646 = V011295 - 1 = 6 - 1 =5;\nNo other variables can be derived from V651646;\nNo other variables can be derived from V011295;\n\nNow we have done all the calculations. Derived variables are:\nV011295 = 6;\nV651646 = 5;\n\nNow we have finished this problem. ANSWER:\nV011295\n", "role": "assistant" } ]

[ "V191565", "V295136" ]

[ { "content": "<context>\nassign V372184 = V932198 - 1. assign V743309 = V605300. assign V403127 = V553334. assign V175823 = V719276 + 1. assign V825776 = V948970 - 1. assign V031365 = V510612. assign V012790 = V024540. assign V093446 = V428077 + 1. assign V573098 = V850177 + 1. assign V639279 = V129940 + 1. assign V911589 = V016431 - 1. assign V401570 = V276512 + 1. assign V129940 = V761198. assign V522795 = V553334 - 1. assign V733167 = V762000 - 1. assign V553334 = V605300 - 1. assign V591145 = V637845 + 1. assign V279996 = V226651 - 1. assign V948970 = V637845. assign V845487 = V487417 - 1. assign V089277 = V573098. assign V511889 = V401570 + 1. assign V226541 = V504644 + 1. assign V795635 = V978458 + 1. assign V494644 = V533802. assign V470377 = V761198 - 1. assign V765614 = V761198. assign V092939 = V911589 + 1. assign V637845 = V405402 + 1. assign V994504 = V405402 - 1. assign V719276 = V549737 - 1. assign V679140 = V587057. assign V191565 = 8. assign V932198 = V343758 + 1. assign V761198 = V743309. assign V016431 = V538209 - 1. assign V126501 = V573098 - 1. assign V677705 = V850177 - 1. assign V295136 = V191565. assign V853989 = V225786. assign V762000 = V343758 + 1. assign V538209 = V605300. assign V101817 = V517971. assign V145859 = V403127 + 1. assign V951862 = V026344 + 1. assign V549737 = V533802. assign V854267 = V719276 - 1. assign V517971 = V276512. assign V250968 = V605300. assign V276512 = V533802. assign V819908 = V461357. assign V024540 = V517971 + 1. assign V487417 = V126501 - 1. assign V551778 = V511889. assign V428077 = V533802 + 1. assign V243166 = V549737. assign V850177 = V587057 - 1. assign V888998 = V853989 + 1. assign V226651 = V605300 + 1. assign V693941 = V126501 - 1. assign V026344 = V605300 + 1. assign V666084 = V498453. assign V498453 = V765614. assign V289942 = V089277 + 1. assign V587057 = V553334. assign V085200 = V765614 + 1. assign V033098 = V101817 + 1. assign V405402 = V226651 + 1. assign V461357 = V276512 + 1. assign V390273 = V101817 - 1. assign V504644 = V498453. assign V915901 = V461357 - 1. assign V510612 = V765614 + 1. assign V942394 = V016431 - 1. assign V745741 = V605300 - 1. assign V899198 = V978458. assign V708478 = V016431. assign V978458 = V461357 + 1. assign V343758 = V494644. assign V533688 = V390273 - 1. assign V225786 = V819908 - 1. assign V189074 = V289942. assign V059380 = V765614. assign V533802 = V743309 + 1. assign V479565 = V533802 + 1. assign V554499 = V762000 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V372184 = V932198 - 1. assign V743309 = V605300. assign V403127 = V553334. assign V175823 = V719276 + 1. assign V825776 = V948970 - 1. assign V031365 = V510612. assign V012790 = V024540. assign V093446 = V428077 + 1. assign V573098 = V850177 + 1. assign V639279 = V129940 + 1. assign V911589 = V016431 - 1. assign V401570 = V276512 + 1. assign V129940 = V761198. assign V522795 = V553334 - 1. assign V733167 = V762000 - 1. assign V553334 = V605300 - 1. assign V591145 = V637845 + 1. assign V279996 = V226651 - 1. assign V948970 = V637845. assign V845487 = V487417 - 1. assign V089277 = V573098. assign V511889 = V401570 + 1. assign V226541 = V504644 + 1. assign V795635 = V978458 + 1. assign V494644 = V533802. assign V470377 = V761198 - 1. assign V765614 = V761198. assign V092939 = V911589 + 1. assign V637845 = V405402 + 1. assign V994504 = V405402 - 1. assign V719276 = V549737 - 1. assign V679140 = V587057. assign V191565 = 8. assign V932198 = V343758 + 1. assign V761198 = V743309. assign V016431 = V538209 - 1. assign V126501 = V573098 - 1. assign V677705 = V850177 - 1. assign V295136 = V191565. assign V853989 = V225786. assign V762000 = V343758 + 1. assign V538209 = V605300. assign V101817 = V517971. assign V145859 = V403127 + 1. assign V951862 = V026344 + 1. assign V549737 = V533802. assign V854267 = V719276 - 1. assign V517971 = V276512. assign V250968 = V605300. assign V276512 = V533802. assign V819908 = V461357. assign V024540 = V517971 + 1. assign V487417 = V126501 - 1. assign V551778 = V511889. assign V428077 = V533802 + 1. assign V243166 = V549737. assign V850177 = V587057 - 1. assign V888998 = V853989 + 1. assign V226651 = V605300 + 1. assign V693941 = V126501 - 1. assign V026344 = V605300 + 1. assign V666084 = V498453. assign V498453 = V765614. assign V289942 = V089277 + 1. assign V587057 = V553334. assign V085200 = V765614 + 1. assign V033098 = V101817 + 1. assign V405402 = V226651 + 1. assign V461357 = V276512 + 1. assign V390273 = V101817 - 1. assign V504644 = V498453. assign V915901 = V461357 - 1. assign V510612 = V765614 + 1. assign V942394 = V016431 - 1. assign V745741 = V605300 - 1. assign V899198 = V978458. assign V708478 = V016431. assign V978458 = V461357 + 1. assign V343758 = V494644. assign V533688 = V390273 - 1. assign V225786 = V819908 - 1. assign V189074 = V289942. assign V059380 = V765614. assign V533802 = V743309 + 1. assign V479565 = V533802 + 1. assign V554499 = V762000 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV191565 = 8;\n\nFrom these direct assignment(s), we have: \nV295136 = V191565 = 8;\nNo other variables can be derived from V295136;\nNo other variables can be derived from V191565;\n\nNow we have done all the calculations. Derived variables are:\nV191565 = 8;\nV295136 = 8;\n\nNow we have finished this problem. ANSWER:\nV191565, V295136\n", "role": "assistant" } ]