Datasets:

---

suehyunpark

/

gsm_infinite_symbolic_2k

like 0

[ "V948970" ]

[ { "content": "<context>\nassign V059380 = V997383. assign V487417 = V405402 + 1. assign V452801 = V254708 - 1. assign V634999 = V512618. assign V043430 = V427239 + 1. assign V175823 = 0. assign V310642 = V140178 - 1. assign V889070 = V840783 + 1. assign V187451 = V187141 + 1. assign V769363 = V605441. assign V187141 = V044423 + 1. assign V903231 = V039720 + 1. assign V828109 = V332184. assign V362273 = V763055 + 1. assign V319274 = V559920 - 1. assign V762293 = V951969. assign V303862 = V416634 - 1. assign V044423 = V013173. assign V449268 = V556187 + 1. assign V225786 = V013173 + 1. assign V045276 = V324490. assign V919134 = V763055 + 1. assign V655421 = V225786 + 1. assign V013173 = V601546 + 1. assign V242795 = V719276 + 1. assign V556187 = V998923 + 1. assign V948970 = V175823 + 1. assign V748855 = V807096. assign V281317 = V458151 + 1. assign V401570 = V086860 + 1. assign V067973 = V963929 - 1. assign V848354 = V140178. assign V332184 = V401570 - 1. assign V929385 = V187451. assign V690102 = V662981 + 1. assign V860103 = V344216 + 1. assign V677705 = V963929. assign V559920 = V458151 + 1. assign V824962 = V000947 + 1. assign V699678 = V708478. assign V708478 = V044423. assign V076694 = V570790 + 1. assign V988728 = V823734 + 1. assign V662981 = V089277. assign V328216 = V221159. assign V089277 = V601546. assign V401539 = V845077 + 1. assign V486907 = V748855. assign V101987 = V719276 + 1. assign V702394 = V446017. assign V008297 = V274270. assign V957111 = V729816 - 1. assign V649505 = V013173 + 1. assign V865970 = V059380. assign V922663 = V013173 + 1. assign V840783 = V708478. assign V516847 = V601546 - 1. assign V255430 = V152906. assign V282530 = V634999 - 1. assign V221159 = V893355 + 1. assign V637845 = V337462. assign V267051 = V493339. assign V673414 = V398785. assign V850469 = V927681. assign V154952 = V324490 - 1. assign V148169 = V975240 - 1. assign V992474 = V187451 + 1. assign V000947 = V013173. assign V254708 = V415017 - 1. assign V663960 = V601546 + 1. assign V089745 = V889070 + 1. assign V841720 = V187141 - 1. assign V471209 = V929385. assign V039720 = V187141 - 1. assign V096098 = V605441 - 1. assign V712614 = V708478 + 1. assign V587802 = V043430 + 1. assign V982415 = V963929 - 1. assign V601546 = V369716 + 1. assign V714048 = V187141. assign V953659 = V086237 + 1. assign V679436 = V140178 + 1. assign V857324 = V086860 - 1. assign V430829 = V318749. assign V485232 = V562230 + 1. assign V570790 = V729816 + 1. assign V435655 = V281317 + 1. assign V262568 = V587802. assign V318749 = V824962 + 1. assign V276512 = V997383 - 1. assign V416634 = V989285 - 1. assign V545635 = V509315. assign V807096 = V860103 - 1. assign V557541 = V559920 + 1. assign V512618 = V225786. assign V343758 = V957111. assign V415017 = V398785 - 1. assign V819570 = V997383. assign V494644 = V039720 + 1. assign V893355 = V951460. assign V283605 = V637845 - 1. assign V175341 = V281317 - 1. assign V152906 = V605441 - 1. assign V458151 = V225786 + 1. assign V383870 = V039720 - 1. assign V446017 = V121055. assign V768670 = V369716. assign V500461 = V086237 - 1. assign V514753 = V343758 - 1. assign V062766 = V013173 - 1. assign V951460 = V274270 - 1. assign V086237 = V430829 - 1. assign V927681 = V221159 - 1. assign V337462 = V840783. assign V673488 = V762293 + 1. assign V086860 = V310642 + 1. assign V975240 = V819570 - 1. assign V763055 = V512618. assign V605441 = V957111 + 1. assign V052191 = V225786. assign V657538 = V824962. assign V603934 = V043430. assign V963929 = V712614 - 1. assign V739279 = V639279 + 1. assign V823734 = V690102. assign V951969 = V889070 + 1. assign V322152 = V044423 - 1. assign V886182 = V807096. assign V685074 = V992474. assign V989285 = V499051 + 1. assign V697693 = V458151. assign V716137 = V634597. assign V398785 = V089277. assign V509315 = V951969. assign V578263 = V857324. assign V634597 = V242795. assign V310757 = V267051. assign V499051 = V649505 - 1. assign V845077 = V140178. assign V729816 = V310642 - 1. assign V997383 = V089277. assign V225303 = V719276. assign V563558 = V415017 + 1. assign V998923 = V039720 + 1. assign V427239 = V187141. assign V941780 = V562230 - 1. assign V562230 = V848354 - 1. assign V537007 = V982415 - 1. assign V274270 = V369716 - 1. assign V517971 = V310642 + 1. assign V719276 = V187451 - 1. assign V349986 = V639279. assign V840280 = V841720 - 1. assign V608868 = V187451 + 1. assign V344216 = V398785 + 1. assign V121055 = V516847 + 1. assign V425384 = V401570. assign V582395 = V860103. assign V174988 = V152906 - 1. assign V989307 = V043430 - 1. assign V140178 = V089277 - 1. assign V324490 = V416634 - 1. assign V493339 = V714048 - 1. assign V049956 = V324490. assign V185441 = V369716. assign V639279 = V398785. assign V016494 = V452801 + 1. assign V510612 = V768670. assign V059537 = V603934 - 1. assign V007270 = V649505 - 1. assign V559257 = V398785. assign V405402 = V719276.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V059380 = V997383. assign V487417 = V405402 + 1. assign V452801 = V254708 - 1. assign V634999 = V512618. assign V043430 = V427239 + 1. assign V175823 = 0. assign V310642 = V140178 - 1. assign V889070 = V840783 + 1. assign V187451 = V187141 + 1. assign V769363 = V605441. assign V187141 = V044423 + 1. assign V903231 = V039720 + 1. assign V828109 = V332184. assign V362273 = V763055 + 1. assign V319274 = V559920 - 1. assign V762293 = V951969. assign V303862 = V416634 - 1. assign V044423 = V013173. assign V449268 = V556187 + 1. assign V225786 = V013173 + 1. assign V045276 = V324490. assign V919134 = V763055 + 1. assign V655421 = V225786 + 1. assign V013173 = V601546 + 1. assign V242795 = V719276 + 1. assign V556187 = V998923 + 1. assign V948970 = V175823 + 1. assign V748855 = V807096. assign V281317 = V458151 + 1. assign V401570 = V086860 + 1. assign V067973 = V963929 - 1. assign V848354 = V140178. assign V332184 = V401570 - 1. assign V929385 = V187451. assign V690102 = V662981 + 1. assign V860103 = V344216 + 1. assign V677705 = V963929. assign V559920 = V458151 + 1. assign V824962 = V000947 + 1. assign V699678 = V708478. assign V708478 = V044423. assign V076694 = V570790 + 1. assign V988728 = V823734 + 1. assign V662981 = V089277. assign V328216 = V221159. assign V089277 = V601546. assign V401539 = V845077 + 1. assign V486907 = V748855. assign V101987 = V719276 + 1. assign V702394 = V446017. assign V008297 = V274270. assign V957111 = V729816 - 1. assign V649505 = V013173 + 1. assign V865970 = V059380. assign V922663 = V013173 + 1. assign V840783 = V708478. assign V516847 = V601546 - 1. assign V255430 = V152906. assign V282530 = V634999 - 1. assign V221159 = V893355 + 1. assign V637845 = V337462. assign V267051 = V493339. assign V673414 = V398785. assign V850469 = V927681. assign V154952 = V324490 - 1. assign V148169 = V975240 - 1. assign V992474 = V187451 + 1. assign V000947 = V013173. assign V254708 = V415017 - 1. assign V663960 = V601546 + 1. assign V089745 = V889070 + 1. assign V841720 = V187141 - 1. assign V471209 = V929385. assign V039720 = V187141 - 1. assign V096098 = V605441 - 1. assign V712614 = V708478 + 1. assign V587802 = V043430 + 1. assign V982415 = V963929 - 1. assign V601546 = V369716 + 1. assign V714048 = V187141. assign V953659 = V086237 + 1. assign V679436 = V140178 + 1. assign V857324 = V086860 - 1. assign V430829 = V318749. assign V485232 = V562230 + 1. assign V570790 = V729816 + 1. assign V435655 = V281317 + 1. assign V262568 = V587802. assign V318749 = V824962 + 1. assign V276512 = V997383 - 1. assign V416634 = V989285 - 1. assign V545635 = V509315. assign V807096 = V860103 - 1. assign V557541 = V559920 + 1. assign V512618 = V225786. assign V343758 = V957111. assign V415017 = V398785 - 1. assign V819570 = V997383. assign V494644 = V039720 + 1. assign V893355 = V951460. assign V283605 = V637845 - 1. assign V175341 = V281317 - 1. assign V152906 = V605441 - 1. assign V458151 = V225786 + 1. assign V383870 = V039720 - 1. assign V446017 = V121055. assign V768670 = V369716. assign V500461 = V086237 - 1. assign V514753 = V343758 - 1. assign V062766 = V013173 - 1. assign V951460 = V274270 - 1. assign V086237 = V430829 - 1. assign V927681 = V221159 - 1. assign V337462 = V840783. assign V673488 = V762293 + 1. assign V086860 = V310642 + 1. assign V975240 = V819570 - 1. assign V763055 = V512618. assign V605441 = V957111 + 1. assign V052191 = V225786. assign V657538 = V824962. assign V603934 = V043430. assign V963929 = V712614 - 1. assign V739279 = V639279 + 1. assign V823734 = V690102. assign V951969 = V889070 + 1. assign V322152 = V044423 - 1. assign V886182 = V807096. assign V685074 = V992474. assign V989285 = V499051 + 1. assign V697693 = V458151. assign V716137 = V634597. assign V398785 = V089277. assign V509315 = V951969. assign V578263 = V857324. assign V634597 = V242795. assign V310757 = V267051. assign V499051 = V649505 - 1. assign V845077 = V140178. assign V729816 = V310642 - 1. assign V997383 = V089277. assign V225303 = V719276. assign V563558 = V415017 + 1. assign V998923 = V039720 + 1. assign V427239 = V187141. assign V941780 = V562230 - 1. assign V562230 = V848354 - 1. assign V537007 = V982415 - 1. assign V274270 = V369716 - 1. assign V517971 = V310642 + 1. assign V719276 = V187451 - 1. assign V349986 = V639279. assign V840280 = V841720 - 1. assign V608868 = V187451 + 1. assign V344216 = V398785 + 1. assign V121055 = V516847 + 1. assign V425384 = V401570. assign V582395 = V860103. assign V174988 = V152906 - 1. assign V989307 = V043430 - 1. assign V140178 = V089277 - 1. assign V324490 = V416634 - 1. assign V493339 = V714048 - 1. assign V049956 = V324490. assign V185441 = V369716. assign V639279 = V398785. assign V016494 = V452801 + 1. assign V510612 = V768670. assign V059537 = V603934 - 1. assign V007270 = V649505 - 1. assign V559257 = V398785. assign V405402 = V719276.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV175823 = 0;\n\nFrom these direct assignment(s), we have: \nV948970 = V175823 + 1 = 0 + 1 =1;\nNo other variables can be derived from V948970;\nNo other variables can be derived from V175823;\n\nNow we have done all the calculations. Derived variables are:\nV175823 = 0;\nV948970 = 1;\n\nNow we have finished this problem. ANSWER:\nV948970\n", "role": "assistant" } ]

[ "V514562" ]

[ { "content": "<context>\nassign V725409 = V186196. assign V490131 = V971111. assign V122013 = V903734. assign V244177 = V576487 + 1. assign V568728 = V939202. assign V941846 = V723535. assign V765572 = V035114 - 1. assign V970309 = V723535. assign V057447 = V845460. assign V814282 = V705145 + 1. assign V723535 = V122013 - 1. assign V035114 = V634274 + 1. assign V150650 = V903734 + 1. assign V259237 = V468542 + 1. assign V054809 = V942699. assign V528435 = V832688 - 1. assign V046652 = V377262 + 1. assign V563571 = V902209 + 1. assign V013942 = V433223 - 1. assign V162688 = V765572. assign V006396 = V634274 - 1. assign V018497 = V989974. assign V277424 = V528435. assign V764377 = V759093 - 1. assign V669957 = V468542 - 1. assign V087342 = V376630 + 1. assign V031405 = V737230. assign V186196 = V678864 - 1. assign V576487 = V844570 - 1. assign V544468 = V853943 - 1. assign V079144 = V764377 + 1. assign V642738 = V190614 - 1. assign V488579 = V705145 - 1. assign V464420 = V496424 - 1. assign V253045 = V705145 - 1. assign V843210 = V006396 + 1. assign V260667 = V634274 + 1. assign V208065 = V832688 + 1. assign V046528 = V512579 - 1. assign V832688 = V122013. assign V901869 = V490932. assign V646964 = V705145 + 1. assign V387797 = V696001. assign V695939 = V490932 - 1. assign V855211 = V544468. assign V162964 = V424912. assign V044077 = V317871 - 1. assign V946301 = V806107 + 1. assign V215672 = V292763 - 1. assign V720093 = V087342 - 1. assign V148817 = V676268 + 1. assign V464378 = 9. assign V971111 = V737230 - 1. assign V892288 = V845090 - 1. assign V278884 = V865498. assign V905690 = V723535 - 1. assign V844570 = V678864. assign V989974 = V892288 - 1. assign V377262 = V648427 + 1. assign V521024 = V113791 - 1. assign V952332 = V248530 + 1. assign V806107 = V244177 + 1. assign V497752 = V376630 + 1. assign V696001 = V277424 + 1. assign V865174 = V373600 - 1. assign V022177 = V576487 + 1. assign V474971 = V090035. assign V631654 = V903734 - 1. assign V737230 = V678864 - 1. assign V890495 = V776990 + 1. assign V964825 = V631654 + 1. assign V272214 = V705145 - 1. assign V672006 = V489739 + 1. assign V759093 = V678864 + 1. assign V292763 = V903734. assign V514562 = V464378 - 1. assign V420248 = V964825 + 1. assign V748561 = V512579. assign V489739 = V512579 + 1. assign V955244 = V806107 + 1. assign V490932 = V468542 - 1. assign V942699 = V946301 - 1. assign V496424 = V298149 - 1. assign V676268 = V277424 + 1. assign V939202 = V558125 + 1. assign V951331 = V317871. assign V424912 = V631654 + 1. assign V624203 = V340902 + 1. assign V924062 = V298149. assign V362820 = V970309 - 1. assign V116773 = V723535 + 1. assign V811324 = V946301. assign V853943 = V292763 - 1. assign V781972 = V204818 - 1. assign V129374 = V340902 - 1. assign V031355 = V150650. assign V312528 = V853943 + 1. assign V364563 = V377262 + 1. assign V263716 = V476379 + 1. assign V775492 = V260667 - 1. assign V552239 = V720093 - 1. assign V572362 = V634274 - 1. assign V317871 = V634274. assign V293694 = V832688 + 1. assign V715458 = V176399. assign V488788 = V298149 + 1. assign V472240 = V489739 - 1. assign V678864 = V254255 + 1. assign V457878 = V215672 - 1. assign V248530 = V464420. assign V197202 = V544468. assign V693462 = V260667 + 1. assign V468542 = V696001. assign V298149 = V765572 + 1. assign V902162 = V376630 - 1. assign V664905 = V563571 - 1. assign V870272 = V113791 - 1. assign V560204 = V862564. assign V902209 = V263716 - 1. assign V382984 = V260667 + 1. assign V670033 = V737230 + 1. assign V865498 = V775492 - 1. assign V765870 = V765572 + 1. assign V499554 = V664905 + 1. assign V127254 = V576487 - 1. assign V647716 = V031355 - 1. assign V549259 = V678864 - 1. assign V862564 = V046652. assign V845090 = V723535. assign V330837 = V472240 - 1. assign V376630 = V832688 + 1. assign V433223 = V122013 - 1. assign V634274 = V670033 + 1. assign V555732 = V853943. assign V512579 = V420248. assign V645779 = V669957 - 1. assign V776990 = V122013 + 1. assign V481767 = V764377. assign V119297 = V046528 - 1. assign V692128 = V253045 + 1. assign V340902 = V631654 + 1. assign V648427 = V845460. assign V446800 = V277424. assign V190614 = V122013 + 1. assign V176399 = V362820. assign V487000 = V035114 - 1. assign V439067 = V865498 - 1. assign V845460 = V122013 + 1. assign V373600 = V669957 - 1. assign V632691 = V705145 + 1. assign V135833 = V122013 - 1. assign V090035 = V544468 - 1. assign V030345 = V031405 + 1. assign V246451 = V330837. assign V653759 = V420248 - 1. assign V558125 = V845460. assign V705145 = V678864 - 1. assign V476379 = V176399. assign V015667 = V176399 - 1. assign V347306 = V844570. assign V204818 = V563571 + 1. assign V688120 = V113791 + 1. assign V006862 = V843210 + 1. assign V981387 = V176399 + 1. assign V638206 = V946301 - 1. assign V312343 = V903734 - 1. assign V430544 = V122013 + 1. assign V382482 = V113791. assign V254255 = V122013 - 1. assign V011240 = V079144 + 1. assign V195537 = V646964 + 1. assign V113791 = V013942 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V725409 = V186196. assign V490131 = V971111. assign V122013 = V903734. assign V244177 = V576487 + 1. assign V568728 = V939202. assign V941846 = V723535. assign V765572 = V035114 - 1. assign V970309 = V723535. assign V057447 = V845460. assign V814282 = V705145 + 1. assign V723535 = V122013 - 1. assign V035114 = V634274 + 1. assign V150650 = V903734 + 1. assign V259237 = V468542 + 1. assign V054809 = V942699. assign V528435 = V832688 - 1. assign V046652 = V377262 + 1. assign V563571 = V902209 + 1. assign V013942 = V433223 - 1. assign V162688 = V765572. assign V006396 = V634274 - 1. assign V018497 = V989974. assign V277424 = V528435. assign V764377 = V759093 - 1. assign V669957 = V468542 - 1. assign V087342 = V376630 + 1. assign V031405 = V737230. assign V186196 = V678864 - 1. assign V576487 = V844570 - 1. assign V544468 = V853943 - 1. assign V079144 = V764377 + 1. assign V642738 = V190614 - 1. assign V488579 = V705145 - 1. assign V464420 = V496424 - 1. assign V253045 = V705145 - 1. assign V843210 = V006396 + 1. assign V260667 = V634274 + 1. assign V208065 = V832688 + 1. assign V046528 = V512579 - 1. assign V832688 = V122013. assign V901869 = V490932. assign V646964 = V705145 + 1. assign V387797 = V696001. assign V695939 = V490932 - 1. assign V855211 = V544468. assign V162964 = V424912. assign V044077 = V317871 - 1. assign V946301 = V806107 + 1. assign V215672 = V292763 - 1. assign V720093 = V087342 - 1. assign V148817 = V676268 + 1. assign V464378 = 9. assign V971111 = V737230 - 1. assign V892288 = V845090 - 1. assign V278884 = V865498. assign V905690 = V723535 - 1. assign V844570 = V678864. assign V989974 = V892288 - 1. assign V377262 = V648427 + 1. assign V521024 = V113791 - 1. assign V952332 = V248530 + 1. assign V806107 = V244177 + 1. assign V497752 = V376630 + 1. assign V696001 = V277424 + 1. assign V865174 = V373600 - 1. assign V022177 = V576487 + 1. assign V474971 = V090035. assign V631654 = V903734 - 1. assign V737230 = V678864 - 1. assign V890495 = V776990 + 1. assign V964825 = V631654 + 1. assign V272214 = V705145 - 1. assign V672006 = V489739 + 1. assign V759093 = V678864 + 1. assign V292763 = V903734. assign V514562 = V464378 - 1. assign V420248 = V964825 + 1. assign V748561 = V512579. assign V489739 = V512579 + 1. assign V955244 = V806107 + 1. assign V490932 = V468542 - 1. assign V942699 = V946301 - 1. assign V496424 = V298149 - 1. assign V676268 = V277424 + 1. assign V939202 = V558125 + 1. assign V951331 = V317871. assign V424912 = V631654 + 1. assign V624203 = V340902 + 1. assign V924062 = V298149. assign V362820 = V970309 - 1. assign V116773 = V723535 + 1. assign V811324 = V946301. assign V853943 = V292763 - 1. assign V781972 = V204818 - 1. assign V129374 = V340902 - 1. assign V031355 = V150650. assign V312528 = V853943 + 1. assign V364563 = V377262 + 1. assign V263716 = V476379 + 1. assign V775492 = V260667 - 1. assign V552239 = V720093 - 1. assign V572362 = V634274 - 1. assign V317871 = V634274. assign V293694 = V832688 + 1. assign V715458 = V176399. assign V488788 = V298149 + 1. assign V472240 = V489739 - 1. assign V678864 = V254255 + 1. assign V457878 = V215672 - 1. assign V248530 = V464420. assign V197202 = V544468. assign V693462 = V260667 + 1. assign V468542 = V696001. assign V298149 = V765572 + 1. assign V902162 = V376630 - 1. assign V664905 = V563571 - 1. assign V870272 = V113791 - 1. assign V560204 = V862564. assign V902209 = V263716 - 1. assign V382984 = V260667 + 1. assign V670033 = V737230 + 1. assign V865498 = V775492 - 1. assign V765870 = V765572 + 1. assign V499554 = V664905 + 1. assign V127254 = V576487 - 1. assign V647716 = V031355 - 1. assign V549259 = V678864 - 1. assign V862564 = V046652. assign V845090 = V723535. assign V330837 = V472240 - 1. assign V376630 = V832688 + 1. assign V433223 = V122013 - 1. assign V634274 = V670033 + 1. assign V555732 = V853943. assign V512579 = V420248. assign V645779 = V669957 - 1. assign V776990 = V122013 + 1. assign V481767 = V764377. assign V119297 = V046528 - 1. assign V692128 = V253045 + 1. assign V340902 = V631654 + 1. assign V648427 = V845460. assign V446800 = V277424. assign V190614 = V122013 + 1. assign V176399 = V362820. assign V487000 = V035114 - 1. assign V439067 = V865498 - 1. assign V845460 = V122013 + 1. assign V373600 = V669957 - 1. assign V632691 = V705145 + 1. assign V135833 = V122013 - 1. assign V090035 = V544468 - 1. assign V030345 = V031405 + 1. assign V246451 = V330837. assign V653759 = V420248 - 1. assign V558125 = V845460. assign V705145 = V678864 - 1. assign V476379 = V176399. assign V015667 = V176399 - 1. assign V347306 = V844570. assign V204818 = V563571 + 1. assign V688120 = V113791 + 1. assign V006862 = V843210 + 1. assign V981387 = V176399 + 1. assign V638206 = V946301 - 1. assign V312343 = V903734 - 1. assign V430544 = V122013 + 1. assign V382482 = V113791. assign V254255 = V122013 - 1. assign V011240 = V079144 + 1. assign V195537 = V646964 + 1. assign V113791 = V013942 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV464378 = 9;\n\nFrom these direct assignment(s), we have: \nV514562 = V464378 - 1 = 9 - 1 =8;\nNo other variables can be derived from V514562;\nNo other variables can be derived from V464378;\n\nNow we have done all the calculations. Derived variables are:\nV464378 = 9;\nV514562 = 8;\n\nNow we have finished this problem. ANSWER:\nV514562\n", "role": "assistant" } ]

[ "V288794", "V345598" ]

[ { "content": "<context>\nassign V699941 = V456339 + 1. assign V903806 = V309924. assign V589889 = V433117 - 1. assign V639067 = V674794 - 1. assign V805281 = V369940 - 1. assign V299350 = V052471 - 1. assign V290906 = V455036 + 1. assign V098139 = V564739 + 1. assign V215326 = V577006 + 1. assign V724569 = V359716 + 1. assign V576155 = V616766 - 1. assign V378538 = V290320 + 1. assign V701248 = V968089. assign V470746 = V310569 - 1. assign V253385 = V048505 + 1. assign V345598 = V288794. assign V431611 = V577006 + 1. assign V577006 = V052471 - 1. assign V606073 = V345998 + 1. assign V223439 = V478796 + 1. assign V129911 = V159433 - 1. assign V490005 = V433117. assign V465187 = V884428 + 1. assign V369940 = V087072 + 1. assign V331207 = V784199 + 1. assign V627419 = V478796. assign V945530 = V325281 + 1. assign V903385 = V004431 - 1. assign V276224 = V109106. assign V433117 = V914226. assign V159815 = V972547 + 1. assign V503836 = V623290 - 1. assign V199244 = V866709. assign V729358 = V213662 - 1. assign V976616 = V556654 + 1. assign V814123 = V253385. assign V778417 = V108503. assign V359716 = V627419 + 1. assign V914226 = V442826 + 1. assign V464344 = V963713 + 1. assign V309924 = V433117 - 1. assign V072730 = V299350 + 1. assign V623290 = V465187 - 1. assign V738741 = V743654. assign V963713 = V215326 + 1. assign V599995 = V465187 + 1. assign V542519 = V159433 + 1. assign V637097 = V884428. assign V802288 = V362418. assign V149101 = V253385. assign V784199 = V290320 + 1. assign V285565 = V521679 - 1. assign V783520 = V577006 - 1. assign V198792 = V932041. assign V838403 = V215326. assign V098192 = V313598. assign V378686 = V099728 + 1. assign V410531 = V313598 - 1. assign V004431 = V002275 - 1. assign V213662 = V240813. assign V801180 = V914226 + 1. assign V760859 = V866709 + 1. assign V158694 = V889268. assign V132121 = V098916. assign V837583 = V159433. assign V456339 = V932041 - 1. assign V504607 = V854488 + 1. assign V814201 = V824140. assign V700009 = V038635 - 1. assign V871378 = V866709. assign V108318 = V644509. assign V644509 = V611135. assign V556654 = V331207 - 1. assign V932041 = V908553 - 1. assign V378559 = V098192 + 1. assign V288794 = 1. assign V679631 = V908553 - 1. assign V977095 = V576155 + 1. assign V209844 = V478796 - 1. assign V109106 = V616766 - 1. assign V240813 = V908553. assign V044265 = V854488. assign V108503 = V442826 + 1. assign V799416 = V700009. assign V788946 = V824140 + 1. assign V019193 = V038635. assign V006559 = V503504. assign V521679 = V356649 - 1. assign V854488 = V738741 + 1. assign V441855 = V290320 - 1. assign V171541 = V313598 + 1. assign V810648 = V784199 + 1. assign V038635 = V290320 - 1. assign V884428 = V171541 - 1. assign V616766 = V455036. assign V147676 = V644509 + 1. assign V972547 = V240813. assign V573199 = V253385 + 1. assign V286151 = V626231. assign V478796 = V442826 + 1. assign V968089 = V147676 + 1. assign V528795 = V118245. assign V625022 = V325281 + 1. assign V707445 = V914226 - 1. assign V455036 = V577006 - 1. assign V061313 = V209844. assign V844645 = V503504 - 1. assign V313598 = V503504 + 1. assign V237896 = V564739 - 1. assign V496023 = V048505. assign V069038 = V209844 + 1. assign V611135 = V932041 + 1. assign V362418 = V877795 + 1. assign V635300 = V490005 + 1. assign V290320 = V442826. assign V091790 = V098192. assign V626231 = V441855 - 1. assign V805253 = V903806 + 1. assign V832870 = V622345. assign V048505 = V490005 + 1. assign V305644 = V729358. assign V743654 = V313598 - 1. assign V087072 = V091790. assign V098916 = V085998 + 1. assign V392213 = V884428 + 1. assign V147162 = V290906 + 1. assign V904122 = V877795 + 1. assign V877795 = V038635. assign V644390 = V147162. assign V889268 = V456339 - 1. assign V928062 = V854488 + 1. assign V629098 = V378559. assign V325281 = V299350 - 1. assign V215075 = V108503. assign V298653 = V159433 + 1. assign V495638 = V877795 + 1. assign V085998 = V814123 - 1. assign V875324 = V914226 + 1. assign V171475 = V844645 - 1. assign V081457 = V149101. assign V754171 = V003648 + 1. assign V843085 = V290906 + 1. assign V725877 = V932041 - 1. assign V442826 = V503504. assign V475419 = V362418. assign V505762 = V679631 + 1. assign V345998 = V701248 + 1. assign V530249 = V159433 + 1. assign V982071 = V465187. assign V835223 = V098192 - 1. assign V923840 = V149101. assign V159433 = V118245 + 1. assign V002275 = V679631 - 1. assign V926179 = V914226 - 1. assign V052471 = V442826. assign V118245 = V503504 - 1. assign V674794 = V478796 + 1. assign V534793 = V098192. assign V622345 = V048505. assign V564739 = V932041. assign V908553 = V098192 - 1. assign V341755 = V433117. assign V099728 = V213662 + 1. assign V146214 = V725877. assign V866709 = V589889 - 1. assign V686480 = V932041 - 1. assign V310569 = V622345 - 1. assign V610008 = V679631 + 1. assign V982906 = V147676 + 1. assign V003648 = V456339 - 1. assign V824140 = V573199 + 1. assign V356649 = V215326 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V699941 = V456339 + 1. assign V903806 = V309924. assign V589889 = V433117 - 1. assign V639067 = V674794 - 1. assign V805281 = V369940 - 1. assign V299350 = V052471 - 1. assign V290906 = V455036 + 1. assign V098139 = V564739 + 1. assign V215326 = V577006 + 1. assign V724569 = V359716 + 1. assign V576155 = V616766 - 1. assign V378538 = V290320 + 1. assign V701248 = V968089. assign V470746 = V310569 - 1. assign V253385 = V048505 + 1. assign V345598 = V288794. assign V431611 = V577006 + 1. assign V577006 = V052471 - 1. assign V606073 = V345998 + 1. assign V223439 = V478796 + 1. assign V129911 = V159433 - 1. assign V490005 = V433117. assign V465187 = V884428 + 1. assign V369940 = V087072 + 1. assign V331207 = V784199 + 1. assign V627419 = V478796. assign V945530 = V325281 + 1. assign V903385 = V004431 - 1. assign V276224 = V109106. assign V433117 = V914226. assign V159815 = V972547 + 1. assign V503836 = V623290 - 1. assign V199244 = V866709. assign V729358 = V213662 - 1. assign V976616 = V556654 + 1. assign V814123 = V253385. assign V778417 = V108503. assign V359716 = V627419 + 1. assign V914226 = V442826 + 1. assign V464344 = V963713 + 1. assign V309924 = V433117 - 1. assign V072730 = V299350 + 1. assign V623290 = V465187 - 1. assign V738741 = V743654. assign V963713 = V215326 + 1. assign V599995 = V465187 + 1. assign V542519 = V159433 + 1. assign V637097 = V884428. assign V802288 = V362418. assign V149101 = V253385. assign V784199 = V290320 + 1. assign V285565 = V521679 - 1. assign V783520 = V577006 - 1. assign V198792 = V932041. assign V838403 = V215326. assign V098192 = V313598. assign V378686 = V099728 + 1. assign V410531 = V313598 - 1. assign V004431 = V002275 - 1. assign V213662 = V240813. assign V801180 = V914226 + 1. assign V760859 = V866709 + 1. assign V158694 = V889268. assign V132121 = V098916. assign V837583 = V159433. assign V456339 = V932041 - 1. assign V504607 = V854488 + 1. assign V814201 = V824140. assign V700009 = V038635 - 1. assign V871378 = V866709. assign V108318 = V644509. assign V644509 = V611135. assign V556654 = V331207 - 1. assign V932041 = V908553 - 1. assign V378559 = V098192 + 1. assign V288794 = 1. assign V679631 = V908553 - 1. assign V977095 = V576155 + 1. assign V209844 = V478796 - 1. assign V109106 = V616766 - 1. assign V240813 = V908553. assign V044265 = V854488. assign V108503 = V442826 + 1. assign V799416 = V700009. assign V788946 = V824140 + 1. assign V019193 = V038635. assign V006559 = V503504. assign V521679 = V356649 - 1. assign V854488 = V738741 + 1. assign V441855 = V290320 - 1. assign V171541 = V313598 + 1. assign V810648 = V784199 + 1. assign V038635 = V290320 - 1. assign V884428 = V171541 - 1. assign V616766 = V455036. assign V147676 = V644509 + 1. assign V972547 = V240813. assign V573199 = V253385 + 1. assign V286151 = V626231. assign V478796 = V442826 + 1. assign V968089 = V147676 + 1. assign V528795 = V118245. assign V625022 = V325281 + 1. assign V707445 = V914226 - 1. assign V455036 = V577006 - 1. assign V061313 = V209844. assign V844645 = V503504 - 1. assign V313598 = V503504 + 1. assign V237896 = V564739 - 1. assign V496023 = V048505. assign V069038 = V209844 + 1. assign V611135 = V932041 + 1. assign V362418 = V877795 + 1. assign V635300 = V490005 + 1. assign V290320 = V442826. assign V091790 = V098192. assign V626231 = V441855 - 1. assign V805253 = V903806 + 1. assign V832870 = V622345. assign V048505 = V490005 + 1. assign V305644 = V729358. assign V743654 = V313598 - 1. assign V087072 = V091790. assign V098916 = V085998 + 1. assign V392213 = V884428 + 1. assign V147162 = V290906 + 1. assign V904122 = V877795 + 1. assign V877795 = V038635. assign V644390 = V147162. assign V889268 = V456339 - 1. assign V928062 = V854488 + 1. assign V629098 = V378559. assign V325281 = V299350 - 1. assign V215075 = V108503. assign V298653 = V159433 + 1. assign V495638 = V877795 + 1. assign V085998 = V814123 - 1. assign V875324 = V914226 + 1. assign V171475 = V844645 - 1. assign V081457 = V149101. assign V754171 = V003648 + 1. assign V843085 = V290906 + 1. assign V725877 = V932041 - 1. assign V442826 = V503504. assign V475419 = V362418. assign V505762 = V679631 + 1. assign V345998 = V701248 + 1. assign V530249 = V159433 + 1. assign V982071 = V465187. assign V835223 = V098192 - 1. assign V923840 = V149101. assign V159433 = V118245 + 1. assign V002275 = V679631 - 1. assign V926179 = V914226 - 1. assign V052471 = V442826. assign V118245 = V503504 - 1. assign V674794 = V478796 + 1. assign V534793 = V098192. assign V622345 = V048505. assign V564739 = V932041. assign V908553 = V098192 - 1. assign V341755 = V433117. assign V099728 = V213662 + 1. assign V146214 = V725877. assign V866709 = V589889 - 1. assign V686480 = V932041 - 1. assign V310569 = V622345 - 1. assign V610008 = V679631 + 1. assign V982906 = V147676 + 1. assign V003648 = V456339 - 1. assign V824140 = V573199 + 1. assign V356649 = V215326 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV288794 = 1;\n\nFrom these direct assignment(s), we have: \nV345598 = V288794 = 1;\nNo other variables can be derived from V345598;\nNo other variables can be derived from V288794;\n\nNow we have done all the calculations. Derived variables are:\nV288794 = 1;\nV345598 = 1;\n\nNow we have finished this problem. ANSWER:\nV288794, V345598\n", "role": "assistant" } ]

[ "V568861", "V466855" ]

[ { "content": "<context>\nassign V072199 = V647098 + 1. assign V371977 = V158896 - 1. assign V073134 = V374545. assign V038914 = V647881. assign V336780 = V324502. assign V827353 = V810633. assign V053978 = V324502 - 1. assign V753683 = V080138. assign V746540 = V736618. assign V310569 = V824400 - 1. assign V197795 = V549233 + 1. assign V353295 = V080138 - 1. assign V072801 = V673071 + 1. assign V383739 = V073360 - 1. assign V401810 = V412238. assign V179642 = V697968 + 1. assign V242036 = V169290 - 1. assign V190464 = V142172 + 1. assign V454341 = V571991 + 1. assign V665096 = V255252 + 1. assign V508494 = V707788 - 1. assign V374412 = V482535 - 1. assign V436158 = V358379. assign V782601 = V966312 + 1. assign V521941 = V467072 + 1. assign V200712 = V521941 - 1. assign V776905 = V999879 - 1. assign V836861 = V746540 + 1. assign V636185 = V198832 + 1. assign V677343 = V145180. assign V775789 = V053978 - 1. assign V700298 = V829241. assign V819418 = V652637 + 1. assign V626274 = V919566. assign V810633 = V919566 + 1. assign V039054 = V358379 + 1. assign V238771 = V073360 - 1. assign V353022 = V746540 + 1. assign V124739 = V374545. assign V047651 = V073360 + 1. assign V424833 = V548879 - 1. assign V911995 = V198832. assign V771418 = V310659 - 1. assign V278560 = V935674 - 1. assign V156021 = V214147 - 1. assign V692062 = V605489 - 1. assign V237423 = V836861 + 1. assign V035073 = V197795 - 1. assign V605538 = V416367. assign V937225 = V912629 + 1. assign V853422 = V238771 + 1. assign V734719 = V158896. assign V216099 = V336780 + 1. assign V912629 = V416367. assign V673071 = V919566. assign V245588 = V063882 - 1. assign V781475 = V820035 - 1. assign V093028 = V158896 + 1. assign V428440 = V310659 + 1. assign V843079 = V519459 + 1. assign V797421 = V245588. assign V548879 = V047651. assign V833849 = V016264 - 1. assign V829652 = V693425 + 1. assign V214147 = V524668 - 1. assign V602044 = V377106 - 1. assign V183447 = V169290. assign V692664 = V753683 + 1. assign V229448 = V169290 + 1. assign V373209 = V232045 - 1. assign V519459 = V198832. assign V571991 = V782601 - 1. assign V252370 = V846360 + 1. assign V935674 = V401810 - 1. assign V016264 = V810633. assign V073360 = V063882. assign V747703 = V935674 - 1. assign V806431 = V482535 - 1. assign V652637 = V827353. assign V324502 = V063882 - 1. assign V661938 = V966312 + 1. assign V412238 = V827353 - 1. assign V737513 = V373209 + 1. assign V609452 = V524668 + 1. assign V966312 = V482535 - 1. assign V310659 = V324502 + 1. assign V010675 = V073360 + 1. assign V255252 = V913613 + 1. assign V464178 = V912629. assign V158896 = V736618 - 1. assign V561523 = V949961. assign V647881 = V063882. assign V736618 = V647881 - 1. assign V712853 = V377106. assign V466855 = V568861. assign V174457 = V035073 - 1. assign V198832 = V072199 - 1. assign V801650 = V647098. assign V605489 = V673071. assign V707573 = V492623. assign V913613 = V063882 - 1. assign V358379 = V063882. assign V201008 = V401810 + 1. assign V747337 = V935674 + 1. assign V105855 = V636185 - 1. assign V978857 = V237853. assign V237853 = V728195 + 1. assign V917226 = V753683 + 1. assign V355630 = V775789 + 1. assign V949961 = V197795 + 1. assign V289546 = V353022 - 1. assign V195458 = V724615 + 1. assign V707788 = V589158 - 1. assign V549233 = V647881 - 1. assign V999879 = V833849 + 1. assign V524668 = V919566 + 1. assign V476351 = V833849 - 1. assign V613618 = V476351. assign V482535 = V746540 - 1. assign V897728 = V935674 + 1. assign V589121 = V158896. assign V520079 = V333963 - 1. assign V820035 = V158896 - 1. assign V392606 = V080138 + 1. assign V161478 = V035073 + 1. assign V515235 = V467072 - 1. assign V143495 = V775789. assign V232045 = V829241 + 1. assign V304229 = V371977 + 1. assign V492082 = V913613 + 1. assign V838243 = V128674 - 1. assign V128674 = V492623 - 1. assign V142172 = V482535 - 1. assign V333963 = V853422 - 1. assign V824400 = V416367 - 1. assign V259879 = V161478 + 1. assign V979567 = V072199 + 1. assign V197500 = V819418 - 1. assign V846360 = V416367 + 1. assign V353331 = V195458 + 1. assign V080138 = V810633. assign V724615 = V053978 + 1. assign V829241 = V736618 - 1. assign V693425 = V198832. assign V416367 = V467072 + 1. assign V752308 = V333963. assign V714798 = V063882. assign V568861 = 10. assign V696011 = V080138. assign V873423 = V836861 + 1. assign V055874 = V229448 - 1. assign V169290 = V016264 - 1. assign V302037 = V771418 - 1. assign V728195 = V492623 + 1. assign V395912 = V412238 - 1. assign V492623 = V781475. assign V170513 = V416367. assign V467072 = V324502 - 1. assign V374545 = V080138 - 1. assign V377106 = V374545. assign V589158 = V353022 + 1. assign V697968 = V142172 - 1. assign V675570 = V238771 - 1. assign V082103 = V063882 - 1. assign V919566 = V736618 + 1. assign V956047 = V829241 + 1. assign V013311 = V846360. assign V895249 = V242036 - 1. assign V145180 = V956047. assign V237488 = V829652 + 1. assign V297819 = V158896 + 1. assign V647098 = V063882.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V072199 = V647098 + 1. assign V371977 = V158896 - 1. assign V073134 = V374545. assign V038914 = V647881. assign V336780 = V324502. assign V827353 = V810633. assign V053978 = V324502 - 1. assign V753683 = V080138. assign V746540 = V736618. assign V310569 = V824400 - 1. assign V197795 = V549233 + 1. assign V353295 = V080138 - 1. assign V072801 = V673071 + 1. assign V383739 = V073360 - 1. assign V401810 = V412238. assign V179642 = V697968 + 1. assign V242036 = V169290 - 1. assign V190464 = V142172 + 1. assign V454341 = V571991 + 1. assign V665096 = V255252 + 1. assign V508494 = V707788 - 1. assign V374412 = V482535 - 1. assign V436158 = V358379. assign V782601 = V966312 + 1. assign V521941 = V467072 + 1. assign V200712 = V521941 - 1. assign V776905 = V999879 - 1. assign V836861 = V746540 + 1. assign V636185 = V198832 + 1. assign V677343 = V145180. assign V775789 = V053978 - 1. assign V700298 = V829241. assign V819418 = V652637 + 1. assign V626274 = V919566. assign V810633 = V919566 + 1. assign V039054 = V358379 + 1. assign V238771 = V073360 - 1. assign V353022 = V746540 + 1. assign V124739 = V374545. assign V047651 = V073360 + 1. assign V424833 = V548879 - 1. assign V911995 = V198832. assign V771418 = V310659 - 1. assign V278560 = V935674 - 1. assign V156021 = V214147 - 1. assign V692062 = V605489 - 1. assign V237423 = V836861 + 1. assign V035073 = V197795 - 1. assign V605538 = V416367. assign V937225 = V912629 + 1. assign V853422 = V238771 + 1. assign V734719 = V158896. assign V216099 = V336780 + 1. assign V912629 = V416367. assign V673071 = V919566. assign V245588 = V063882 - 1. assign V781475 = V820035 - 1. assign V093028 = V158896 + 1. assign V428440 = V310659 + 1. assign V843079 = V519459 + 1. assign V797421 = V245588. assign V548879 = V047651. assign V833849 = V016264 - 1. assign V829652 = V693425 + 1. assign V214147 = V524668 - 1. assign V602044 = V377106 - 1. assign V183447 = V169290. assign V692664 = V753683 + 1. assign V229448 = V169290 + 1. assign V373209 = V232045 - 1. assign V519459 = V198832. assign V571991 = V782601 - 1. assign V252370 = V846360 + 1. assign V935674 = V401810 - 1. assign V016264 = V810633. assign V073360 = V063882. assign V747703 = V935674 - 1. assign V806431 = V482535 - 1. assign V652637 = V827353. assign V324502 = V063882 - 1. assign V661938 = V966312 + 1. assign V412238 = V827353 - 1. assign V737513 = V373209 + 1. assign V609452 = V524668 + 1. assign V966312 = V482535 - 1. assign V310659 = V324502 + 1. assign V010675 = V073360 + 1. assign V255252 = V913613 + 1. assign V464178 = V912629. assign V158896 = V736618 - 1. assign V561523 = V949961. assign V647881 = V063882. assign V736618 = V647881 - 1. assign V712853 = V377106. assign V466855 = V568861. assign V174457 = V035073 - 1. assign V198832 = V072199 - 1. assign V801650 = V647098. assign V605489 = V673071. assign V707573 = V492623. assign V913613 = V063882 - 1. assign V358379 = V063882. assign V201008 = V401810 + 1. assign V747337 = V935674 + 1. assign V105855 = V636185 - 1. assign V978857 = V237853. assign V237853 = V728195 + 1. assign V917226 = V753683 + 1. assign V355630 = V775789 + 1. assign V949961 = V197795 + 1. assign V289546 = V353022 - 1. assign V195458 = V724615 + 1. assign V707788 = V589158 - 1. assign V549233 = V647881 - 1. assign V999879 = V833849 + 1. assign V524668 = V919566 + 1. assign V476351 = V833849 - 1. assign V613618 = V476351. assign V482535 = V746540 - 1. assign V897728 = V935674 + 1. assign V589121 = V158896. assign V520079 = V333963 - 1. assign V820035 = V158896 - 1. assign V392606 = V080138 + 1. assign V161478 = V035073 + 1. assign V515235 = V467072 - 1. assign V143495 = V775789. assign V232045 = V829241 + 1. assign V304229 = V371977 + 1. assign V492082 = V913613 + 1. assign V838243 = V128674 - 1. assign V128674 = V492623 - 1. assign V142172 = V482535 - 1. assign V333963 = V853422 - 1. assign V824400 = V416367 - 1. assign V259879 = V161478 + 1. assign V979567 = V072199 + 1. assign V197500 = V819418 - 1. assign V846360 = V416367 + 1. assign V353331 = V195458 + 1. assign V080138 = V810633. assign V724615 = V053978 + 1. assign V829241 = V736618 - 1. assign V693425 = V198832. assign V416367 = V467072 + 1. assign V752308 = V333963. assign V714798 = V063882. assign V568861 = 10. assign V696011 = V080138. assign V873423 = V836861 + 1. assign V055874 = V229448 - 1. assign V169290 = V016264 - 1. assign V302037 = V771418 - 1. assign V728195 = V492623 + 1. assign V395912 = V412238 - 1. assign V492623 = V781475. assign V170513 = V416367. assign V467072 = V324502 - 1. assign V374545 = V080138 - 1. assign V377106 = V374545. assign V589158 = V353022 + 1. assign V697968 = V142172 - 1. assign V675570 = V238771 - 1. assign V082103 = V063882 - 1. assign V919566 = V736618 + 1. assign V956047 = V829241 + 1. assign V013311 = V846360. assign V895249 = V242036 - 1. assign V145180 = V956047. assign V237488 = V829652 + 1. assign V297819 = V158896 + 1. assign V647098 = V063882.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV568861 = 10;\n\nFrom these direct assignment(s), we have: \nV466855 = V568861 = 10;\nNo other variables can be derived from V466855;\nNo other variables can be derived from V568861;\n\nNow we have done all the calculations. Derived variables are:\nV568861 = 10;\nV466855 = 10;\n\nNow we have finished this problem. ANSWER:\nV568861, V466855\n", "role": "assistant" } ]

[ "V430949" ]

[ { "content": "<context>\nassign V835186 = V552382. assign V353883 = V613500. assign V828693 = V614109. assign V451635 = V317660 - 1. assign V123948 = V552382 - 1. assign V501573 = V552382 + 1. assign V731993 = V204909 + 1. assign V711068 = V822539. assign V495769 = V414837. assign V092483 = V655983 - 1. assign V127918 = V317660 + 1. assign V631912 = V092483. assign V022541 = V138548 + 1. assign V105332 = V776155 - 1. assign V320313 = V854071 + 1. assign V471405 = V825949. assign V269076 = V088511. assign V547826 = V614109. assign V432405 = V884696. assign V416508 = V227047. assign V833677 = V423250 + 1. assign V869761 = V432405. assign V106326 = V432405 - 1. assign V203536 = V293617 - 1. assign V913020 = V875900 + 1. assign V822539 = V138548 + 1. assign V026525 = V655983 - 1. assign V542210 = V565349. assign V797699 = V075508. assign V681083 = V323401. assign V761147 = V706630 - 1. assign V639826 = V484160. assign V067036 = V056857. assign V423250 = V929424 + 1. assign V570797 = V884696 + 1. assign V044161 = V469855 - 1. assign V477774 = V655983 - 1. assign V536657 = V758495 + 1. assign V605061 = V614109 - 1. assign V929424 = V793074 + 1. assign V686805 = V825949 + 1. assign V169034 = V204054. assign V461230 = V670089. assign V830048 = V552382. assign V873033 = V570797. assign V989719 = V614109. assign V882684 = V614109 + 1. assign V832991 = V793074 - 1. assign V907811 = V194569 + 1. assign V305881 = V729768 + 1. assign V498822 = V875900 + 1. assign V160206 = V437414. assign V138548 = V655983 + 1. assign V670089 = V138548 + 1. assign V219679 = V770531. assign V721551 = V138548. assign V501151 = V776155 + 1. assign V261690 = V230494. assign V275813 = V514998. assign V960813 = V825949. assign V514998 = V477774. assign V026007 = V828693. assign V586493 = V471405. assign V180849 = V477774 - 1. assign V479547 = V659087 - 1. assign V481551 = V088169. assign V230015 = V960813 + 1. assign V751918 = V753703 - 1. assign V138075 = V451635 + 1. assign V213281 = V888603 + 1. assign V617730 = V884696 + 1. assign V888603 = V305881 - 1. assign V569319 = V542210. assign V873658 = V477774 + 1. assign V659087 = V825949. assign V686807 = V477774 - 1. assign V770531 = V670507. assign V854071 = V989719. assign V718282 = V138548. assign V252002 = V770531 - 1. assign V231729 = V770531 + 1. assign V381514 = V437414 - 1. assign V979979 = V882684 + 1. assign V412080 = V219679. assign V729768 = V655983 - 1. assign V573943 = V323401 + 1. assign V437414 = V715065. assign V323401 = V317660 + 1. assign V758659 = V751918 + 1. assign V204909 = V701036. assign V061689 = V659087. assign V876034 = V092483 + 1. assign V317660 = V655983 + 1. assign V910952 = V613500 - 1. assign V903345 = V096999 + 1. assign V801456 = V353883 + 1. assign V222513 = V056857. assign V589248 = V729768 + 1. assign V442288 = V138548 + 1. assign V451964 = V547826 + 1. assign V923916 = V950214. assign V096999 = V204909 + 1. assign V413171 = V477774 + 1. assign V366884 = V293617 + 1. assign V341466 = V222513 + 1. assign V513455 = V391492 - 1. assign V088841 = V026525. assign V194569 = V701036 - 1. assign V293617 = V605061. assign V055821 = V317660. assign V130534 = V869611 + 1. assign V230494 = V884696 + 1. assign V142900 = V613500 - 1. assign V552382 = V442288 - 1. assign V372070 = V876226 - 1. assign V875900 = V096999 + 1. assign V391492 = V092483 - 1. assign V430949 = 8. assign V186590 = V751918 + 1. assign V950214 = V230582 - 1. assign V975901 = V989719. assign V060179 = V096999 - 1. assign V715065 = V227047 + 1. assign V484160 = V219679. assign V083416 = V681083. assign V204054 = V753703 - 1. assign V825949 = V729768. assign V088511 = V204909 - 1. assign V455038 = V715065 - 1. assign V521645 = V088841 - 1. assign V776155 = V828693 - 1. assign V088169 = V751918. assign V614217 = V222513. assign V793074 = V753703 - 1. assign V848545 = V127918 - 1. assign V406851 = V706630 + 1. assign V670507 = V138548 + 1. assign V042062 = V138548 + 1. assign V265678 = V746791 - 1. assign V369977 = V758659 + 1. assign V195546 = V711555. assign V747853 = V323401 - 1. assign V056857 = V451635 + 1. assign V066637 = V075508 - 1. assign V249597 = V655983 + 1. assign V565349 = V655983. assign V075508 = V770531 - 1. assign V329521 = V222513 - 1. assign V227047 = V655983 - 1. assign V746791 = V751918 - 1. assign V414837 = V477774. assign V706630 = V989719 - 1. assign V512256 = V432405. assign V317398 = V432405 - 1. assign V189962 = V565349 + 1. assign V753703 = V442288 - 1. assign V711555 = V989719 - 1. assign V469855 = V471405 - 1. assign V701036 = V655983 - 1. assign V273824 = V430949 + 1. assign V556008 = V631912 - 1. assign V915856 = V960813. assign V758495 = V746791. assign V230582 = V565349. assign V869611 = V573943. assign V773312 = V026525. assign V784238 = V461230 - 1. assign V876226 = V096999 - 1. assign V884696 = V127918 - 1. assign V613500 = V835186. assign V614109 = V138548. assign V063175 = V718282 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V835186 = V552382. assign V353883 = V613500. assign V828693 = V614109. assign V451635 = V317660 - 1. assign V123948 = V552382 - 1. assign V501573 = V552382 + 1. assign V731993 = V204909 + 1. assign V711068 = V822539. assign V495769 = V414837. assign V092483 = V655983 - 1. assign V127918 = V317660 + 1. assign V631912 = V092483. assign V022541 = V138548 + 1. assign V105332 = V776155 - 1. assign V320313 = V854071 + 1. assign V471405 = V825949. assign V269076 = V088511. assign V547826 = V614109. assign V432405 = V884696. assign V416508 = V227047. assign V833677 = V423250 + 1. assign V869761 = V432405. assign V106326 = V432405 - 1. assign V203536 = V293617 - 1. assign V913020 = V875900 + 1. assign V822539 = V138548 + 1. assign V026525 = V655983 - 1. assign V542210 = V565349. assign V797699 = V075508. assign V681083 = V323401. assign V761147 = V706630 - 1. assign V639826 = V484160. assign V067036 = V056857. assign V423250 = V929424 + 1. assign V570797 = V884696 + 1. assign V044161 = V469855 - 1. assign V477774 = V655983 - 1. assign V536657 = V758495 + 1. assign V605061 = V614109 - 1. assign V929424 = V793074 + 1. assign V686805 = V825949 + 1. assign V169034 = V204054. assign V461230 = V670089. assign V830048 = V552382. assign V873033 = V570797. assign V989719 = V614109. assign V882684 = V614109 + 1. assign V832991 = V793074 - 1. assign V907811 = V194569 + 1. assign V305881 = V729768 + 1. assign V498822 = V875900 + 1. assign V160206 = V437414. assign V138548 = V655983 + 1. assign V670089 = V138548 + 1. assign V219679 = V770531. assign V721551 = V138548. assign V501151 = V776155 + 1. assign V261690 = V230494. assign V275813 = V514998. assign V960813 = V825949. assign V514998 = V477774. assign V026007 = V828693. assign V586493 = V471405. assign V180849 = V477774 - 1. assign V479547 = V659087 - 1. assign V481551 = V088169. assign V230015 = V960813 + 1. assign V751918 = V753703 - 1. assign V138075 = V451635 + 1. assign V213281 = V888603 + 1. assign V617730 = V884696 + 1. assign V888603 = V305881 - 1. assign V569319 = V542210. assign V873658 = V477774 + 1. assign V659087 = V825949. assign V686807 = V477774 - 1. assign V770531 = V670507. assign V854071 = V989719. assign V718282 = V138548. assign V252002 = V770531 - 1. assign V231729 = V770531 + 1. assign V381514 = V437414 - 1. assign V979979 = V882684 + 1. assign V412080 = V219679. assign V729768 = V655983 - 1. assign V573943 = V323401 + 1. assign V437414 = V715065. assign V323401 = V317660 + 1. assign V758659 = V751918 + 1. assign V204909 = V701036. assign V061689 = V659087. assign V876034 = V092483 + 1. assign V317660 = V655983 + 1. assign V910952 = V613500 - 1. assign V903345 = V096999 + 1. assign V801456 = V353883 + 1. assign V222513 = V056857. assign V589248 = V729768 + 1. assign V442288 = V138548 + 1. assign V451964 = V547826 + 1. assign V923916 = V950214. assign V096999 = V204909 + 1. assign V413171 = V477774 + 1. assign V366884 = V293617 + 1. assign V341466 = V222513 + 1. assign V513455 = V391492 - 1. assign V088841 = V026525. assign V194569 = V701036 - 1. assign V293617 = V605061. assign V055821 = V317660. assign V130534 = V869611 + 1. assign V230494 = V884696 + 1. assign V142900 = V613500 - 1. assign V552382 = V442288 - 1. assign V372070 = V876226 - 1. assign V875900 = V096999 + 1. assign V391492 = V092483 - 1. assign V430949 = 8. assign V186590 = V751918 + 1. assign V950214 = V230582 - 1. assign V975901 = V989719. assign V060179 = V096999 - 1. assign V715065 = V227047 + 1. assign V484160 = V219679. assign V083416 = V681083. assign V204054 = V753703 - 1. assign V825949 = V729768. assign V088511 = V204909 - 1. assign V455038 = V715065 - 1. assign V521645 = V088841 - 1. assign V776155 = V828693 - 1. assign V088169 = V751918. assign V614217 = V222513. assign V793074 = V753703 - 1. assign V848545 = V127918 - 1. assign V406851 = V706630 + 1. assign V670507 = V138548 + 1. assign V042062 = V138548 + 1. assign V265678 = V746791 - 1. assign V369977 = V758659 + 1. assign V195546 = V711555. assign V747853 = V323401 - 1. assign V056857 = V451635 + 1. assign V066637 = V075508 - 1. assign V249597 = V655983 + 1. assign V565349 = V655983. assign V075508 = V770531 - 1. assign V329521 = V222513 - 1. assign V227047 = V655983 - 1. assign V746791 = V751918 - 1. assign V414837 = V477774. assign V706630 = V989719 - 1. assign V512256 = V432405. assign V317398 = V432405 - 1. assign V189962 = V565349 + 1. assign V753703 = V442288 - 1. assign V711555 = V989719 - 1. assign V469855 = V471405 - 1. assign V701036 = V655983 - 1. assign V273824 = V430949 + 1. assign V556008 = V631912 - 1. assign V915856 = V960813. assign V758495 = V746791. assign V230582 = V565349. assign V869611 = V573943. assign V773312 = V026525. assign V784238 = V461230 - 1. assign V876226 = V096999 - 1. assign V884696 = V127918 - 1. assign V613500 = V835186. assign V614109 = V138548. assign V063175 = V718282 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV430949 = 8;\n\nFrom these direct assignment(s), we have: \nV273824 = V430949 + 1 = 8 + 1 =9;\nNo other variables can be derived from V273824;\nNo other variables can be derived from V430949;\n\nNow we have done all the calculations. Derived variables are:\nV430949 = 8;\nV273824 = 9;\n\nNow we have finished this problem. ANSWER:\nV430949\n", "role": "assistant" } ]

[ "V032743" ]

[ { "content": "<context>\nassign V488706 = V157134. assign V297552 = V466232 + 1. assign V992287 = V798946 - 1. assign V077867 = V555134 - 1. assign V177440 = V871412 - 1. assign V376518 = V420200 + 1. assign V401580 = V067921. assign V746286 = V244075 + 1. assign V244317 = V120684. assign V209795 = V306458. assign V551393 = V488706. assign V898838 = V493376 - 1. assign V176362 = V244317 - 1. assign V072615 = V853398 + 1. assign V168150 = V859415 + 1. assign V178843 = V488706. assign V135485 = 5. assign V253591 = V898838. assign V131067 = V525143 + 1. assign V157134 = V120684. assign V279532 = V434936 + 1. assign V022816 = V177440 + 1. assign V550744 = V924392 + 1. assign V798803 = V493491 + 1. assign V386012 = V836280. assign V830221 = V014321 - 1. assign V307439 = V596151 - 1. assign V471304 = V525143 + 1. assign V282010 = V324014. assign V078284 = V420200. assign V182342 = V157134 + 1. assign V049850 = V601034. assign V221656 = V470989 - 1. assign V324014 = V704221. assign V625778 = V688794 + 1. assign V721066 = V592816 - 1. assign V780385 = V596151. assign V840502 = V170298 - 1. assign V329058 = V253591. assign V014321 = V324014. assign V884026 = V913455 - 1. assign V824645 = V798946 + 1. assign V590651 = V466232 - 1. assign V772649 = V306458 + 1. assign V420200 = V555134. assign V785361 = V350341 + 1. assign V041181 = V616200. assign V998383 = V521294 - 1. assign V306458 = V873418 - 1. assign V217733 = V067921. assign V601034 = V120684 + 1. assign V458018 = V551393 + 1. assign V258611 = V318653 + 1. assign V253292 = V228661 - 1. assign V967640 = V416761. assign V948657 = V998383 - 1. assign V158089 = V601034 + 1. assign V684223 = V139814 - 1. assign V455273 = V253591 + 1. assign V139814 = V616200. assign V137849 = V522167 + 1. assign V836280 = V297552. assign V032743 = V135485 - 1. assign V667622 = V913455. assign V263719 = V120684 - 1. assign V535126 = V873472. assign V740358 = V078284 - 1. assign V422188 = V596151 - 1. assign V787868 = V785361 - 1. assign V104966 = V700830 - 1. assign V555134 = V616200. assign V493491 = V688794. assign V637515 = V853398 - 1. assign V502879 = V550999 - 1. assign V924392 = V324014 + 1. assign V331224 = V522167 - 1. assign V688794 = V466232 + 1. assign V085506 = V601034. assign V192373 = V340021 + 1. assign V853398 = V596151 + 1. assign V172505 = V550999 - 1. assign V063998 = V402731 + 1. assign V828179 = V324014 + 1. assign V431518 = V546112. assign V591361 = V546112 - 1. assign V942320 = V781828. assign V244075 = V764234 - 1. assign V458350 = V596151 - 1. assign V838404 = V353081 + 1. assign V859415 = V873472. assign V930540 = V466232 + 1. assign V710600 = V910793 + 1. assign V970635 = V635570 + 1. assign V120684 = V704221 + 1. assign V895357 = V077867 - 1. assign V470989 = V596151. assign V318653 = V601034 - 1. assign V228661 = V067921 - 1. assign V251805 = V654161 + 1. assign V167408 = V067921. assign V974845 = V704221 - 1. assign V939215 = V898838. assign V616200 = V488706 - 1. assign V493492 = V667622. assign V143137 = V277396 + 1. assign V351976 = V401580. assign V913455 = V920062. assign V277396 = V078284 + 1. assign V546112 = V466232 - 1. assign V871412 = V351976 - 1. assign V123081 = V493492. assign V149327 = V688794 + 1. assign V798946 = V182342. assign V116916 = V470989. assign V508695 = V785361 + 1. assign V305488 = V401580. assign V931604 = V798946 + 1. assign V609237 = V551393 - 1. assign V764234 = V067921. assign V501963 = V324014. assign V752819 = V974845. assign V434936 = V420200. assign V493376 = V550999 - 1. assign V550999 = V182342. assign V783881 = V643723 + 1. assign V170298 = V157134 - 1. assign V421747 = V176362. assign V778472 = V550999 - 1. assign V700830 = V836280 - 1. assign V466232 = V616200 + 1. assign V525143 = V555134 + 1. assign V592816 = V386012 - 1. assign V498473 = V785361. assign V596151 = V466232 + 1. assign V654161 = V351976 + 1. assign V353081 = V149327 + 1. assign V383557 = V172505 - 1. assign V522167 = V601034. assign V008190 = V508695. assign V428987 = V157134 - 1. assign V402731 = V466232 + 1. assign V873418 = V253292 + 1. assign V291316 = V178843 - 1. assign V637940 = V871412 - 1. assign V125238 = V329058 + 1. assign V162302 = V470989. assign V341680 = V764234. assign V910793 = V501963 + 1. assign V437800 = V781828 - 1. assign V597082 = V306458 - 1. assign V324068 = V383557. assign V781828 = V601034 - 1. assign V340021 = V420200 + 1. assign V873472 = V120684 - 1. assign V350341 = V466232 - 1. assign V713292 = V131067 - 1. assign V920062 = V704221 + 1. assign V076079 = V282010 + 1. assign V390207 = V297552 + 1. assign V416761 = V493376. assign V521294 = V616200. assign V473031 = V324014 - 1. assign V635570 = V422188 + 1. assign V044906 = V546112. assign V515535 = V131067 + 1. assign V001172 = V178843. assign V766509 = V688794 + 1. assign V975435 = V592816. assign V699040 = V824645 + 1. assign V643723 = V752819. assign V771735 = V521294. assign V067921 = V120684 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V488706 = V157134. assign V297552 = V466232 + 1. assign V992287 = V798946 - 1. assign V077867 = V555134 - 1. assign V177440 = V871412 - 1. assign V376518 = V420200 + 1. assign V401580 = V067921. assign V746286 = V244075 + 1. assign V244317 = V120684. assign V209795 = V306458. assign V551393 = V488706. assign V898838 = V493376 - 1. assign V176362 = V244317 - 1. assign V072615 = V853398 + 1. assign V168150 = V859415 + 1. assign V178843 = V488706. assign V135485 = 5. assign V253591 = V898838. assign V131067 = V525143 + 1. assign V157134 = V120684. assign V279532 = V434936 + 1. assign V022816 = V177440 + 1. assign V550744 = V924392 + 1. assign V798803 = V493491 + 1. assign V386012 = V836280. assign V830221 = V014321 - 1. assign V307439 = V596151 - 1. assign V471304 = V525143 + 1. assign V282010 = V324014. assign V078284 = V420200. assign V182342 = V157134 + 1. assign V049850 = V601034. assign V221656 = V470989 - 1. assign V324014 = V704221. assign V625778 = V688794 + 1. assign V721066 = V592816 - 1. assign V780385 = V596151. assign V840502 = V170298 - 1. assign V329058 = V253591. assign V014321 = V324014. assign V884026 = V913455 - 1. assign V824645 = V798946 + 1. assign V590651 = V466232 - 1. assign V772649 = V306458 + 1. assign V420200 = V555134. assign V785361 = V350341 + 1. assign V041181 = V616200. assign V998383 = V521294 - 1. assign V306458 = V873418 - 1. assign V217733 = V067921. assign V601034 = V120684 + 1. assign V458018 = V551393 + 1. assign V258611 = V318653 + 1. assign V253292 = V228661 - 1. assign V967640 = V416761. assign V948657 = V998383 - 1. assign V158089 = V601034 + 1. assign V684223 = V139814 - 1. assign V455273 = V253591 + 1. assign V139814 = V616200. assign V137849 = V522167 + 1. assign V836280 = V297552. assign V032743 = V135485 - 1. assign V667622 = V913455. assign V263719 = V120684 - 1. assign V535126 = V873472. assign V740358 = V078284 - 1. assign V422188 = V596151 - 1. assign V787868 = V785361 - 1. assign V104966 = V700830 - 1. assign V555134 = V616200. assign V493491 = V688794. assign V637515 = V853398 - 1. assign V502879 = V550999 - 1. assign V924392 = V324014 + 1. assign V331224 = V522167 - 1. assign V688794 = V466232 + 1. assign V085506 = V601034. assign V192373 = V340021 + 1. assign V853398 = V596151 + 1. assign V172505 = V550999 - 1. assign V063998 = V402731 + 1. assign V828179 = V324014 + 1. assign V431518 = V546112. assign V591361 = V546112 - 1. assign V942320 = V781828. assign V244075 = V764234 - 1. assign V458350 = V596151 - 1. assign V838404 = V353081 + 1. assign V859415 = V873472. assign V930540 = V466232 + 1. assign V710600 = V910793 + 1. assign V970635 = V635570 + 1. assign V120684 = V704221 + 1. assign V895357 = V077867 - 1. assign V470989 = V596151. assign V318653 = V601034 - 1. assign V228661 = V067921 - 1. assign V251805 = V654161 + 1. assign V167408 = V067921. assign V974845 = V704221 - 1. assign V939215 = V898838. assign V616200 = V488706 - 1. assign V493492 = V667622. assign V143137 = V277396 + 1. assign V351976 = V401580. assign V913455 = V920062. assign V277396 = V078284 + 1. assign V546112 = V466232 - 1. assign V871412 = V351976 - 1. assign V123081 = V493492. assign V149327 = V688794 + 1. assign V798946 = V182342. assign V116916 = V470989. assign V508695 = V785361 + 1. assign V305488 = V401580. assign V931604 = V798946 + 1. assign V609237 = V551393 - 1. assign V764234 = V067921. assign V501963 = V324014. assign V752819 = V974845. assign V434936 = V420200. assign V493376 = V550999 - 1. assign V550999 = V182342. assign V783881 = V643723 + 1. assign V170298 = V157134 - 1. assign V421747 = V176362. assign V778472 = V550999 - 1. assign V700830 = V836280 - 1. assign V466232 = V616200 + 1. assign V525143 = V555134 + 1. assign V592816 = V386012 - 1. assign V498473 = V785361. assign V596151 = V466232 + 1. assign V654161 = V351976 + 1. assign V353081 = V149327 + 1. assign V383557 = V172505 - 1. assign V522167 = V601034. assign V008190 = V508695. assign V428987 = V157134 - 1. assign V402731 = V466232 + 1. assign V873418 = V253292 + 1. assign V291316 = V178843 - 1. assign V637940 = V871412 - 1. assign V125238 = V329058 + 1. assign V162302 = V470989. assign V341680 = V764234. assign V910793 = V501963 + 1. assign V437800 = V781828 - 1. assign V597082 = V306458 - 1. assign V324068 = V383557. assign V781828 = V601034 - 1. assign V340021 = V420200 + 1. assign V873472 = V120684 - 1. assign V350341 = V466232 - 1. assign V713292 = V131067 - 1. assign V920062 = V704221 + 1. assign V076079 = V282010 + 1. assign V390207 = V297552 + 1. assign V416761 = V493376. assign V521294 = V616200. assign V473031 = V324014 - 1. assign V635570 = V422188 + 1. assign V044906 = V546112. assign V515535 = V131067 + 1. assign V001172 = V178843. assign V766509 = V688794 + 1. assign V975435 = V592816. assign V699040 = V824645 + 1. assign V643723 = V752819. assign V771735 = V521294. assign V067921 = V120684 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV135485 = 5;\n\nFrom these direct assignment(s), we have: \nV032743 = V135485 - 1 = 5 - 1 =4;\nNo other variables can be derived from V032743;\nNo other variables can be derived from V135485;\n\nNow we have done all the calculations. Derived variables are:\nV135485 = 5;\nV032743 = 4;\n\nNow we have finished this problem. ANSWER:\nV032743\n", "role": "assistant" } ]

[ "V523268" ]

[ { "content": "<context>\nassign V268927 = V316806 + 1. assign V503865 = V477603. assign V619309 = V605269. assign V068316 = V820849. assign V895891 = V921175 - 1. assign V658495 = V090286 + 1. assign V662026 = V032674 + 1. assign V683265 = V895891 - 1. assign V892508 = V203118. assign V025475 = V527418 - 1. assign V074673 = V367272. assign V381056 = V151807. assign V959404 = V936114 - 1. assign V327115 = V921175 + 1. assign V362056 = V864229 - 1. assign V023034 = V703230 - 1. assign V851899 = V675230 + 1. assign V289781 = V820849. assign V688912 = V479245 + 1. assign V128653 = V640017 - 1. assign V284550 = V661857. assign V067815 = V959404 - 1. assign V912382 = V367272. assign V782358 = V605269 - 1. assign V427123 = V921175 + 1. assign V367272 = V824153. assign V051175 = V398956. assign V704412 = V900868 + 1. assign V902318 = V959404. assign V853245 = V062493 + 1. assign V711849 = V362056. assign V773438 = V807806 + 1. assign V259075 = V162064 + 1. assign V390174 = V381056 - 1. assign V397761 = V199673 + 1. assign V348262 = V327115 - 1. assign V076643 = V682054 - 1. assign V476194 = V685415 + 1. assign V640788 = V820849 + 1. assign V479245 = V055388 + 1. assign V943716 = V605269. assign V843691 = V510802 + 1. assign V573633 = V148585 - 1. assign V675230 = V561618 + 1. assign V343147 = V987813 - 1. assign V153619 = V000134 + 1. assign V055388 = V605269 + 1. assign V954046 = V270043 - 1. assign V802353 = V523268 - 1. assign V640017 = V408442 - 1. assign V085802 = V123954 + 1. assign V056171 = V390174 + 1. assign V676558 = V843691 + 1. assign V666841 = V993255 + 1. assign V645679 = V067815 + 1. assign V398956 = V605269. assign V508931 = V067815 + 1. assign V090286 = V289781. assign V338439 = V619309. assign V148585 = V987813 + 1. assign V199954 = V122093 - 1. assign V759915 = V802404. assign V581176 = V076643 - 1. assign V994183 = V508931 + 1. assign V987813 = V640788 + 1. assign V408442 = V661857. assign V916503 = V773438 + 1. assign V894861 = V199673 - 1. assign V898570 = V199673 + 1. assign V073252 = V316867. assign V729977 = V824153 - 1. assign V336265 = V068316 - 1. assign V510802 = V653490 - 1. assign V386549 = V685415. assign V104904 = V361864 + 1. assign V816844 = V508931 - 1. assign V936088 = V123954. assign V685415 = V151807 + 1. assign V323572 = V055388 - 1. assign V900868 = V959404. assign V151807 = V321474. assign V316806 = V148585 + 1. assign V609144 = V802404. assign V321474 = V816844 + 1. assign V170871 = V281624. assign V561618 = V104904. assign V993864 = V408442 - 1. assign V622280 = V645601. assign V335664 = V122093. assign V407915 = V476194. assign V301692 = V398956 - 1. assign V123954 = V203118. assign V047982 = V068316 - 1. assign V523268 = 6. assign V477603 = V688912 + 1. assign V936114 = V055388 + 1. assign V653490 = V816844. assign V103626 = V442036 + 1. assign V584248 = V199673 - 1. assign V518613 = V729977 + 1. assign V255330 = V022049 - 1. assign V021196 = V820849. assign V000134 = V335664 - 1. assign V316867 = V321474. assign V859639 = V922074. assign V122093 = V203118. assign V203118 = V959404. assign V486517 = V427123 + 1. assign V009689 = V090286 - 1. assign V754799 = V199673 + 1. assign V921175 = V067815 + 1. assign V993277 = V754799 + 1. assign V822727 = V816844 - 1. assign V162064 = V090286 + 1. assign V661857 = V080148 + 1. assign V493467 = V479245 - 1. assign V807806 = V301692 - 1. assign V361864 = V994183. assign V281624 = V675230. assign V570000 = V367272. assign V645601 = V055388 - 1. assign V627882 = V816844 - 1. assign V442036 = V316806 + 1. assign V903995 = V259075. assign V703230 = V428703. assign V201165 = V067815. assign V091971 = V062493 + 1. assign V080148 = V605269. assign V168518 = V645601 + 1. assign V428703 = V943716 - 1. assign V032674 = V622280 - 1. assign V022049 = V645601 + 1. assign V430433 = V987813 - 1. assign V240001 = V682054 - 1. assign V256233 = V123954. assign V495433 = V879276 - 1. assign V527418 = V959404 - 1. assign V189295 = V203118 + 1. assign V083895 = V430433. assign V864229 = V076643 + 1. assign V536674 = V518613 - 1. assign V062493 = V729977. assign V360135 = V201165. assign V112834 = V510802 + 1. assign V072601 = V080148 + 1. assign V036012 = V802404 + 1. assign V566503 = V807806 + 1. assign V922074 = V943716 + 1. assign V779863 = V495433 - 1. assign V142115 = V072601 + 1. assign V682054 = V123954 + 1. assign V615739 = V619309. assign V802404 = V055388 + 1. assign V697110 = V508931. assign V436936 = V824153 - 1. assign V889148 = V824153 + 1. assign V333846 = V704412 - 1. assign V993255 = V853245. assign V820849 = V123954. assign V824153 = V067815 - 1. assign V770087 = V055388 + 1. assign V270043 = V683265 + 1. assign V010981 = V036012 - 1. assign V153998 = V954046 + 1. assign V199673 = V770087 + 1. assign V396874 = V892508 + 1. assign V239762 = V987813. assign V712818 = V912382 - 1. assign V471128 = V010981. assign V030174 = V085802. assign V879276 = V922074. assign V032590 = V561618 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V268927 = V316806 + 1. assign V503865 = V477603. assign V619309 = V605269. assign V068316 = V820849. assign V895891 = V921175 - 1. assign V658495 = V090286 + 1. assign V662026 = V032674 + 1. assign V683265 = V895891 - 1. assign V892508 = V203118. assign V025475 = V527418 - 1. assign V074673 = V367272. assign V381056 = V151807. assign V959404 = V936114 - 1. assign V327115 = V921175 + 1. assign V362056 = V864229 - 1. assign V023034 = V703230 - 1. assign V851899 = V675230 + 1. assign V289781 = V820849. assign V688912 = V479245 + 1. assign V128653 = V640017 - 1. assign V284550 = V661857. assign V067815 = V959404 - 1. assign V912382 = V367272. assign V782358 = V605269 - 1. assign V427123 = V921175 + 1. assign V367272 = V824153. assign V051175 = V398956. assign V704412 = V900868 + 1. assign V902318 = V959404. assign V853245 = V062493 + 1. assign V711849 = V362056. assign V773438 = V807806 + 1. assign V259075 = V162064 + 1. assign V390174 = V381056 - 1. assign V397761 = V199673 + 1. assign V348262 = V327115 - 1. assign V076643 = V682054 - 1. assign V476194 = V685415 + 1. assign V640788 = V820849 + 1. assign V479245 = V055388 + 1. assign V943716 = V605269. assign V843691 = V510802 + 1. assign V573633 = V148585 - 1. assign V675230 = V561618 + 1. assign V343147 = V987813 - 1. assign V153619 = V000134 + 1. assign V055388 = V605269 + 1. assign V954046 = V270043 - 1. assign V802353 = V523268 - 1. assign V640017 = V408442 - 1. assign V085802 = V123954 + 1. assign V056171 = V390174 + 1. assign V676558 = V843691 + 1. assign V666841 = V993255 + 1. assign V645679 = V067815 + 1. assign V398956 = V605269. assign V508931 = V067815 + 1. assign V090286 = V289781. assign V338439 = V619309. assign V148585 = V987813 + 1. assign V199954 = V122093 - 1. assign V759915 = V802404. assign V581176 = V076643 - 1. assign V994183 = V508931 + 1. assign V987813 = V640788 + 1. assign V408442 = V661857. assign V916503 = V773438 + 1. assign V894861 = V199673 - 1. assign V898570 = V199673 + 1. assign V073252 = V316867. assign V729977 = V824153 - 1. assign V336265 = V068316 - 1. assign V510802 = V653490 - 1. assign V386549 = V685415. assign V104904 = V361864 + 1. assign V816844 = V508931 - 1. assign V936088 = V123954. assign V685415 = V151807 + 1. assign V323572 = V055388 - 1. assign V900868 = V959404. assign V151807 = V321474. assign V316806 = V148585 + 1. assign V609144 = V802404. assign V321474 = V816844 + 1. assign V170871 = V281624. assign V561618 = V104904. assign V993864 = V408442 - 1. assign V622280 = V645601. assign V335664 = V122093. assign V407915 = V476194. assign V301692 = V398956 - 1. assign V123954 = V203118. assign V047982 = V068316 - 1. assign V523268 = 6. assign V477603 = V688912 + 1. assign V936114 = V055388 + 1. assign V653490 = V816844. assign V103626 = V442036 + 1. assign V584248 = V199673 - 1. assign V518613 = V729977 + 1. assign V255330 = V022049 - 1. assign V021196 = V820849. assign V000134 = V335664 - 1. assign V316867 = V321474. assign V859639 = V922074. assign V122093 = V203118. assign V203118 = V959404. assign V486517 = V427123 + 1. assign V009689 = V090286 - 1. assign V754799 = V199673 + 1. assign V921175 = V067815 + 1. assign V993277 = V754799 + 1. assign V822727 = V816844 - 1. assign V162064 = V090286 + 1. assign V661857 = V080148 + 1. assign V493467 = V479245 - 1. assign V807806 = V301692 - 1. assign V361864 = V994183. assign V281624 = V675230. assign V570000 = V367272. assign V645601 = V055388 - 1. assign V627882 = V816844 - 1. assign V442036 = V316806 + 1. assign V903995 = V259075. assign V703230 = V428703. assign V201165 = V067815. assign V091971 = V062493 + 1. assign V080148 = V605269. assign V168518 = V645601 + 1. assign V428703 = V943716 - 1. assign V032674 = V622280 - 1. assign V022049 = V645601 + 1. assign V430433 = V987813 - 1. assign V240001 = V682054 - 1. assign V256233 = V123954. assign V495433 = V879276 - 1. assign V527418 = V959404 - 1. assign V189295 = V203118 + 1. assign V083895 = V430433. assign V864229 = V076643 + 1. assign V536674 = V518613 - 1. assign V062493 = V729977. assign V360135 = V201165. assign V112834 = V510802 + 1. assign V072601 = V080148 + 1. assign V036012 = V802404 + 1. assign V566503 = V807806 + 1. assign V922074 = V943716 + 1. assign V779863 = V495433 - 1. assign V142115 = V072601 + 1. assign V682054 = V123954 + 1. assign V615739 = V619309. assign V802404 = V055388 + 1. assign V697110 = V508931. assign V436936 = V824153 - 1. assign V889148 = V824153 + 1. assign V333846 = V704412 - 1. assign V993255 = V853245. assign V820849 = V123954. assign V824153 = V067815 - 1. assign V770087 = V055388 + 1. assign V270043 = V683265 + 1. assign V010981 = V036012 - 1. assign V153998 = V954046 + 1. assign V199673 = V770087 + 1. assign V396874 = V892508 + 1. assign V239762 = V987813. assign V712818 = V912382 - 1. assign V471128 = V010981. assign V030174 = V085802. assign V879276 = V922074. assign V032590 = V561618 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV523268 = 6;\n\nFrom these direct assignment(s), we have: \nV802353 = V523268 - 1 = 6 - 1 =5;\nNo other variables can be derived from V802353;\nNo other variables can be derived from V523268;\n\nNow we have done all the calculations. Derived variables are:\nV523268 = 6;\nV802353 = 5;\n\nNow we have finished this problem. ANSWER:\nV523268\n", "role": "assistant" } ]

[ "V126110", "V552698" ]

[ { "content": "<context>\nassign V494828 = V698722 + 1. assign V264973 = V131135 - 1. assign V153672 = V821908 + 1. assign V865984 = V599005 + 1. assign V043932 = V407403. assign V240632 = V644831 + 1. assign V516244 = V551400 + 1. assign V220864 = V142105 + 1. assign V479802 = V724859 + 1. assign V859612 = V061048 + 1. assign V532342 = V599005 + 1. assign V735010 = V134256 - 1. assign V462277 = V599005 - 1. assign V998832 = V784770 + 1. assign V541493 = V335529 + 1. assign V360036 = V104057 - 1. assign V337763 = V234668. assign V672075 = V320153 - 1. assign V784543 = V479802 + 1. assign V233189 = V381920 + 1. assign V234668 = V142105 - 1. assign V707626 = V335381 + 1. assign V757096 = V103699. assign V755371 = V684808. assign V999020 = V371812 - 1. assign V254890 = V708582. assign V891595 = V870820. assign V586973 = V261667 + 1. assign V673386 = V707626. assign V367382 = V180320. assign V098470 = V337763. assign V182932 = V870820 + 1. assign V109711 = V920412. assign V298479 = V920412. assign V921172 = V131135 + 1. assign V449481 = V335381. assign V000295 = V522015 - 1. assign V602672 = V769476 - 1. assign V183238 = V672075 + 1. assign V407403 = V551400 - 1. assign V017310 = V059229 - 1. assign V553865 = V462277. assign V214233 = V462277 + 1. assign V860001 = V834034. assign V083447 = V644831. assign V061048 = V142105 + 1. assign V164130 = V769476. assign V980172 = V131135. assign V290303 = V194164. assign V856719 = V335529 - 1. assign V599005 = V699749 + 1. assign V561722 = V103699 + 1. assign V215551 = V061048. assign V155997 = V215013 + 1. assign V646526 = V821908 - 1. assign V769476 = V215013. assign V677821 = V856719. assign V335381 = V743118 + 1. assign V227690 = V194164 + 1. assign V935981 = V554096 + 1. assign V194164 = V328887 - 1. assign V769169 = V320153 - 1. assign V200836 = V561722 - 1. assign V126110 = 2. assign V979807 = V080389 + 1. assign V059229 = V215551. assign V649416 = V840435 + 1. assign V758774 = V532342. assign V134256 = V661104. assign V050916 = V022473. assign V713108 = V215013 + 1. assign V339051 = V291891 - 1. assign V226288 = V541493. assign V296241 = V669853. assign V320153 = V298479 + 1. assign V491741 = V724859 + 1. assign V341207 = V407403. assign V137648 = V993810. assign V941681 = V494828 - 1. assign V708582 = V234668 + 1. assign V992825 = V261667 + 1. assign V022473 = V699749 - 1. assign V640457 = V050916 + 1. assign V154734 = V698722. assign V813201 = V320153. assign V784770 = V183238 + 1. assign V546737 = V644831 - 1. assign V328887 = V407403. assign V806669 = V261667. assign V870319 = V599005 - 1. assign V867290 = V291891 - 1. assign V291891 = V220864. assign V840435 = V600534 + 1. assign V317361 = V261667 + 1. assign V180320 = V137648 - 1. assign V080389 = V516244 + 1. assign V518828 = V860001 + 1. assign V198692 = V541493. assign V262160 = V724859 - 1. assign V215013 = V699749 + 1. assign V993810 = V142105 + 1. assign V215656 = V377451 - 1. assign V153701 = V769476 - 1. assign V661104 = V059229 - 1. assign V920412 = V142105 - 1. assign V541189 = V104057. assign V377451 = V551400 - 1. assign V698722 = V708582. assign V103699 = V131135 - 1. assign V551400 = V699749 + 1. assign V656201 = V600534. assign V743118 = V104057 - 1. assign V480486 = V784770 + 1. assign V385282 = V407403. assign V823468 = V215656 + 1. assign V585475 = V261667 + 1. assign V511943 = V198692 + 1. assign V084211 = V131135 + 1. assign V180193 = V335381 + 1. assign V684808 = V920412. assign V925451 = V920412 - 1. assign V216639 = V699749 + 1. assign V720769 = V043932 - 1. assign V253834 = V546737. assign V928916 = V061048. assign V733259 = V656201 - 1. assign V669853 = V859612. assign V614219 = V253834 + 1. assign V600534 = V755371 + 1. assign V588038 = V891595 + 1. assign V381920 = V821908 - 1. assign V713147 = V599005. assign V870820 = V682602 - 1. assign V552698 = V126110. assign V400891 = V644831 - 1. assign V554096 = V599005 + 1. assign V240653 = V215656. assign V152839 = V131135. assign V279657 = V291891 + 1. assign V547109 = V215551. assign V163040 = V823468. assign V522015 = V726369 - 1. assign V296497 = V449481. assign V695861 = V532342 - 1. assign V699749 = V142105 + 1. assign V371513 = V586586 - 1. assign V031165 = V713147. assign V131135 = V215013. assign V586586 = V516244. assign V834034 = V103699 + 1. assign V335529 = V142105. assign V724859 = V298479 + 1. assign V103968 = V155997 - 1. assign V682602 = V993810. assign V941838 = V661104 - 1. assign V071664 = V600534 + 1. assign V520432 = V713108. assign V240532 = V216639. assign V652779 = V920412 - 1. assign V980406 = V183238 - 1. assign V726369 = V532342. assign V821908 = V298479 + 1. assign V050605 = V377451 - 1. assign V620290 = V164130 - 1. assign V261667 = V821908 - 1. assign V823999 = V757096. assign V644831 = V155997 - 1. assign V104057 = V215013 - 1. assign V371812 = V677821 - 1. assign V822823 = V317361 + 1. assign V888975 = V494828 - 1. assign V831075 = V227690 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V494828 = V698722 + 1. assign V264973 = V131135 - 1. assign V153672 = V821908 + 1. assign V865984 = V599005 + 1. assign V043932 = V407403. assign V240632 = V644831 + 1. assign V516244 = V551400 + 1. assign V220864 = V142105 + 1. assign V479802 = V724859 + 1. assign V859612 = V061048 + 1. assign V532342 = V599005 + 1. assign V735010 = V134256 - 1. assign V462277 = V599005 - 1. assign V998832 = V784770 + 1. assign V541493 = V335529 + 1. assign V360036 = V104057 - 1. assign V337763 = V234668. assign V672075 = V320153 - 1. assign V784543 = V479802 + 1. assign V233189 = V381920 + 1. assign V234668 = V142105 - 1. assign V707626 = V335381 + 1. assign V757096 = V103699. assign V755371 = V684808. assign V999020 = V371812 - 1. assign V254890 = V708582. assign V891595 = V870820. assign V586973 = V261667 + 1. assign V673386 = V707626. assign V367382 = V180320. assign V098470 = V337763. assign V182932 = V870820 + 1. assign V109711 = V920412. assign V298479 = V920412. assign V921172 = V131135 + 1. assign V449481 = V335381. assign V000295 = V522015 - 1. assign V602672 = V769476 - 1. assign V183238 = V672075 + 1. assign V407403 = V551400 - 1. assign V017310 = V059229 - 1. assign V553865 = V462277. assign V214233 = V462277 + 1. assign V860001 = V834034. assign V083447 = V644831. assign V061048 = V142105 + 1. assign V164130 = V769476. assign V980172 = V131135. assign V290303 = V194164. assign V856719 = V335529 - 1. assign V599005 = V699749 + 1. assign V561722 = V103699 + 1. assign V215551 = V061048. assign V155997 = V215013 + 1. assign V646526 = V821908 - 1. assign V769476 = V215013. assign V677821 = V856719. assign V335381 = V743118 + 1. assign V227690 = V194164 + 1. assign V935981 = V554096 + 1. assign V194164 = V328887 - 1. assign V769169 = V320153 - 1. assign V200836 = V561722 - 1. assign V126110 = 2. assign V979807 = V080389 + 1. assign V059229 = V215551. assign V649416 = V840435 + 1. assign V758774 = V532342. assign V134256 = V661104. assign V050916 = V022473. assign V713108 = V215013 + 1. assign V339051 = V291891 - 1. assign V226288 = V541493. assign V296241 = V669853. assign V320153 = V298479 + 1. assign V491741 = V724859 + 1. assign V341207 = V407403. assign V137648 = V993810. assign V941681 = V494828 - 1. assign V708582 = V234668 + 1. assign V992825 = V261667 + 1. assign V022473 = V699749 - 1. assign V640457 = V050916 + 1. assign V154734 = V698722. assign V813201 = V320153. assign V784770 = V183238 + 1. assign V546737 = V644831 - 1. assign V328887 = V407403. assign V806669 = V261667. assign V870319 = V599005 - 1. assign V867290 = V291891 - 1. assign V291891 = V220864. assign V840435 = V600534 + 1. assign V317361 = V261667 + 1. assign V180320 = V137648 - 1. assign V080389 = V516244 + 1. assign V518828 = V860001 + 1. assign V198692 = V541493. assign V262160 = V724859 - 1. assign V215013 = V699749 + 1. assign V993810 = V142105 + 1. assign V215656 = V377451 - 1. assign V153701 = V769476 - 1. assign V661104 = V059229 - 1. assign V920412 = V142105 - 1. assign V541189 = V104057. assign V377451 = V551400 - 1. assign V698722 = V708582. assign V103699 = V131135 - 1. assign V551400 = V699749 + 1. assign V656201 = V600534. assign V743118 = V104057 - 1. assign V480486 = V784770 + 1. assign V385282 = V407403. assign V823468 = V215656 + 1. assign V585475 = V261667 + 1. assign V511943 = V198692 + 1. assign V084211 = V131135 + 1. assign V180193 = V335381 + 1. assign V684808 = V920412. assign V925451 = V920412 - 1. assign V216639 = V699749 + 1. assign V720769 = V043932 - 1. assign V253834 = V546737. assign V928916 = V061048. assign V733259 = V656201 - 1. assign V669853 = V859612. assign V614219 = V253834 + 1. assign V600534 = V755371 + 1. assign V588038 = V891595 + 1. assign V381920 = V821908 - 1. assign V713147 = V599005. assign V870820 = V682602 - 1. assign V552698 = V126110. assign V400891 = V644831 - 1. assign V554096 = V599005 + 1. assign V240653 = V215656. assign V152839 = V131135. assign V279657 = V291891 + 1. assign V547109 = V215551. assign V163040 = V823468. assign V522015 = V726369 - 1. assign V296497 = V449481. assign V695861 = V532342 - 1. assign V699749 = V142105 + 1. assign V371513 = V586586 - 1. assign V031165 = V713147. assign V131135 = V215013. assign V586586 = V516244. assign V834034 = V103699 + 1. assign V335529 = V142105. assign V724859 = V298479 + 1. assign V103968 = V155997 - 1. assign V682602 = V993810. assign V941838 = V661104 - 1. assign V071664 = V600534 + 1. assign V520432 = V713108. assign V240532 = V216639. assign V652779 = V920412 - 1. assign V980406 = V183238 - 1. assign V726369 = V532342. assign V821908 = V298479 + 1. assign V050605 = V377451 - 1. assign V620290 = V164130 - 1. assign V261667 = V821908 - 1. assign V823999 = V757096. assign V644831 = V155997 - 1. assign V104057 = V215013 - 1. assign V371812 = V677821 - 1. assign V822823 = V317361 + 1. assign V888975 = V494828 - 1. assign V831075 = V227690 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV126110 = 2;\n\nFrom these direct assignment(s), we have: \nV552698 = V126110 = 2;\nNo other variables can be derived from V552698;\nNo other variables can be derived from V126110;\n\nNow we have done all the calculations. Derived variables are:\nV126110 = 2;\nV552698 = 2;\n\nNow we have finished this problem. ANSWER:\nV126110, V552698\n", "role": "assistant" } ]

[ "V892383", "V162677" ]

[ { "content": "<context>\nassign V835213 = V252794. assign V250954 = V988757 + 1. assign V628576 = V781076. assign V084442 = V656148. assign V781076 = V525987 - 1. assign V142572 = V544350. assign V046046 = V211442. assign V324620 = V837051 - 1. assign V232382 = V909216 - 1. assign V008232 = V154828. assign V760865 = V732270 - 1. assign V656148 = V010271 + 1. assign V759267 = V300727 - 1. assign V660109 = V393763 - 1. assign V865864 = V781076. assign V588721 = V132001 - 1. assign V828367 = V669131 - 1. assign V921906 = V543470 + 1. assign V654124 = V666107. assign V353957 = V383603 - 1. assign V225769 = V297725 + 1. assign V064809 = V084442 + 1. assign V421261 = V223343 - 1. assign V061428 = V314284 - 1. assign V173654 = V272519. assign V101524 = V639253. assign V620700 = V223343 - 1. assign V776313 = V835213 - 1. assign V765607 = V964641. assign V102096 = V669131 + 1. assign V647985 = V654124. assign V393763 = V483894 + 1. assign V093465 = V727700 - 1. assign V023834 = V804247 - 1. assign V662362 = V276621 - 1. assign V237506 = V223343 + 1. assign V744830 = V132001 + 1. assign V305726 = V163088 + 1. assign V833985 = V628624. assign V282936 = V614833 + 1. assign V293237 = V593228. assign V392944 = V796477 - 1. assign V223343 = V201465 + 1. assign V042370 = V374644. assign V544350 = V421261 - 1. assign V157843 = V252794 - 1. assign V283600 = V796477. assign V415420 = V407631 + 1. assign V251704 = V552628. assign V095585 = V330533 - 1. assign V664787 = V783929 - 1. assign V669131 = V654124 + 1. assign V165758 = V165447. assign V040197 = V783929 + 1. assign V154828 = V732270 + 1. assign V829731 = V628624 + 1. assign V870475 = V760359 - 1. assign V329104 = V071415 + 1. assign V942688 = V962984 - 1. assign V666107 = V374644 - 1. assign V164226 = V759267 - 1. assign V377287 = V837051 - 1. assign V804247 = V173420 + 1. assign V593228 = V760865 + 1. assign V074978 = V068063 + 1. assign V723434 = V968951 + 1. assign V153524 = V444596 + 1. assign V420038 = V154828 + 1. assign V410394 = V756662 - 1. assign V105823 = V283927 - 1. assign V572092 = V330745 - 1. assign V762256 = V988757. assign V701890 = V614833. assign V853481 = V779576 - 1. assign V783929 = V300727 + 1. assign V383603 = V444596. assign V949237 = V300727 + 1. assign V518499 = V313558 - 1. assign V289103 = V728166 - 1. assign V509192 = V806809 - 1. assign V664288 = V844255 - 1. assign V542391 = V252794 - 1. assign V823631 = V010271 + 1. assign V185631 = V483894 + 1. assign V837051 = V330745 + 1. assign V614833 = V759267 + 1. assign V658184 = V282936 + 1. assign V385089 = V727700 - 1. assign V898123 = V664787. assign V114775 = V666107. assign V822437 = V374644 - 1. assign V432321 = V407631. assign V756662 = V300727. assign V968951 = V421261. assign V801095 = V061428. assign V413003 = V735426 + 1. assign V313558 = V779576 + 1. assign V728166 = V300727. assign V421577 = V765607 + 1. assign V350836 = V185631 - 1. assign V162677 = V892383. assign V041531 = V223343 + 1. assign V163088 = V806809 - 1. assign V330745 = V870475. assign V022136 = V407631. assign V517612 = V701890. assign V796477 = V300727 - 1. assign V031736 = V738583. assign V211442 = V853481. assign V942414 = V500105 + 1. assign V276621 = V272519 + 1. assign V732863 = V756662. assign V500105 = V444596 - 1. assign V727700 = V822437 + 1. assign V334445 = V779576 - 1. assign V887865 = V572273 - 1. assign V735426 = V804247. assign V806809 = V756662 - 1. assign V469842 = V806809. assign V272519 = V853481 + 1. assign V132001 = V853481. assign V738583 = V165168. assign V276219 = V252794 + 1. assign V407631 = V656148 + 1. assign V112074 = V132001 - 1. assign V071415 = V732270 + 1. assign V909216 = V543470 - 1. assign V505922 = V804247. assign V374644 = V779576 + 1. assign V010271 = V783929 + 1. assign V158258 = V572273 + 1. assign V760359 = V374644 - 1. assign V297725 = V272519 - 1. assign V307668 = V781076 + 1. assign V483894 = V407631 + 1. assign V283927 = V042370. assign V330533 = V132001 - 1. assign V165447 = V666107 - 1. assign V232986 = V662362 + 1. assign V444596 = V988757 + 1. assign V844255 = V669131. assign V220014 = V962984 - 1. assign V832381 = V330533 - 1. assign V964641 = V393763 - 1. assign V650827 = V542391 - 1. assign V300727 = V374644 - 1. assign V543470 = V779576. assign V173420 = V282936 - 1. assign V892383 = 9. assign V252794 = V572273. assign V732270 = V822437. assign V920338 = V543470 - 1. assign V572273 = V201465. assign V059041 = V988563. assign V201465 = V614833. assign V165168 = V964641 + 1. assign V191161 = V061428 - 1. assign V889313 = V300727 - 1. assign V988757 = V614833 + 1. assign V525987 = V252794 + 1. assign V314284 = V334445 + 1. assign V639253 = V114775. assign V552628 = V250954. assign V068063 = V201465 + 1. assign V539987 = V173654 + 1. assign V628624 = V469842 - 1. assign V760136 = V173420 + 1. assign V988563 = V620700 + 1. assign V962984 = V173420 + 1. assign V693830 = V334445. assign V913724 = V889313 + 1. assign V811768 = V330745.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V835213 = V252794. assign V250954 = V988757 + 1. assign V628576 = V781076. assign V084442 = V656148. assign V781076 = V525987 - 1. assign V142572 = V544350. assign V046046 = V211442. assign V324620 = V837051 - 1. assign V232382 = V909216 - 1. assign V008232 = V154828. assign V760865 = V732270 - 1. assign V656148 = V010271 + 1. assign V759267 = V300727 - 1. assign V660109 = V393763 - 1. assign V865864 = V781076. assign V588721 = V132001 - 1. assign V828367 = V669131 - 1. assign V921906 = V543470 + 1. assign V654124 = V666107. assign V353957 = V383603 - 1. assign V225769 = V297725 + 1. assign V064809 = V084442 + 1. assign V421261 = V223343 - 1. assign V061428 = V314284 - 1. assign V173654 = V272519. assign V101524 = V639253. assign V620700 = V223343 - 1. assign V776313 = V835213 - 1. assign V765607 = V964641. assign V102096 = V669131 + 1. assign V647985 = V654124. assign V393763 = V483894 + 1. assign V093465 = V727700 - 1. assign V023834 = V804247 - 1. assign V662362 = V276621 - 1. assign V237506 = V223343 + 1. assign V744830 = V132001 + 1. assign V305726 = V163088 + 1. assign V833985 = V628624. assign V282936 = V614833 + 1. assign V293237 = V593228. assign V392944 = V796477 - 1. assign V223343 = V201465 + 1. assign V042370 = V374644. assign V544350 = V421261 - 1. assign V157843 = V252794 - 1. assign V283600 = V796477. assign V415420 = V407631 + 1. assign V251704 = V552628. assign V095585 = V330533 - 1. assign V664787 = V783929 - 1. assign V669131 = V654124 + 1. assign V165758 = V165447. assign V040197 = V783929 + 1. assign V154828 = V732270 + 1. assign V829731 = V628624 + 1. assign V870475 = V760359 - 1. assign V329104 = V071415 + 1. assign V942688 = V962984 - 1. assign V666107 = V374644 - 1. assign V164226 = V759267 - 1. assign V377287 = V837051 - 1. assign V804247 = V173420 + 1. assign V593228 = V760865 + 1. assign V074978 = V068063 + 1. assign V723434 = V968951 + 1. assign V153524 = V444596 + 1. assign V420038 = V154828 + 1. assign V410394 = V756662 - 1. assign V105823 = V283927 - 1. assign V572092 = V330745 - 1. assign V762256 = V988757. assign V701890 = V614833. assign V853481 = V779576 - 1. assign V783929 = V300727 + 1. assign V383603 = V444596. assign V949237 = V300727 + 1. assign V518499 = V313558 - 1. assign V289103 = V728166 - 1. assign V509192 = V806809 - 1. assign V664288 = V844255 - 1. assign V542391 = V252794 - 1. assign V823631 = V010271 + 1. assign V185631 = V483894 + 1. assign V837051 = V330745 + 1. assign V614833 = V759267 + 1. assign V658184 = V282936 + 1. assign V385089 = V727700 - 1. assign V898123 = V664787. assign V114775 = V666107. assign V822437 = V374644 - 1. assign V432321 = V407631. assign V756662 = V300727. assign V968951 = V421261. assign V801095 = V061428. assign V413003 = V735426 + 1. assign V313558 = V779576 + 1. assign V728166 = V300727. assign V421577 = V765607 + 1. assign V350836 = V185631 - 1. assign V162677 = V892383. assign V041531 = V223343 + 1. assign V163088 = V806809 - 1. assign V330745 = V870475. assign V022136 = V407631. assign V517612 = V701890. assign V796477 = V300727 - 1. assign V031736 = V738583. assign V211442 = V853481. assign V942414 = V500105 + 1. assign V276621 = V272519 + 1. assign V732863 = V756662. assign V500105 = V444596 - 1. assign V727700 = V822437 + 1. assign V334445 = V779576 - 1. assign V887865 = V572273 - 1. assign V735426 = V804247. assign V806809 = V756662 - 1. assign V469842 = V806809. assign V272519 = V853481 + 1. assign V132001 = V853481. assign V738583 = V165168. assign V276219 = V252794 + 1. assign V407631 = V656148 + 1. assign V112074 = V132001 - 1. assign V071415 = V732270 + 1. assign V909216 = V543470 - 1. assign V505922 = V804247. assign V374644 = V779576 + 1. assign V010271 = V783929 + 1. assign V158258 = V572273 + 1. assign V760359 = V374644 - 1. assign V297725 = V272519 - 1. assign V307668 = V781076 + 1. assign V483894 = V407631 + 1. assign V283927 = V042370. assign V330533 = V132001 - 1. assign V165447 = V666107 - 1. assign V232986 = V662362 + 1. assign V444596 = V988757 + 1. assign V844255 = V669131. assign V220014 = V962984 - 1. assign V832381 = V330533 - 1. assign V964641 = V393763 - 1. assign V650827 = V542391 - 1. assign V300727 = V374644 - 1. assign V543470 = V779576. assign V173420 = V282936 - 1. assign V892383 = 9. assign V252794 = V572273. assign V732270 = V822437. assign V920338 = V543470 - 1. assign V572273 = V201465. assign V059041 = V988563. assign V201465 = V614833. assign V165168 = V964641 + 1. assign V191161 = V061428 - 1. assign V889313 = V300727 - 1. assign V988757 = V614833 + 1. assign V525987 = V252794 + 1. assign V314284 = V334445 + 1. assign V639253 = V114775. assign V552628 = V250954. assign V068063 = V201465 + 1. assign V539987 = V173654 + 1. assign V628624 = V469842 - 1. assign V760136 = V173420 + 1. assign V988563 = V620700 + 1. assign V962984 = V173420 + 1. assign V693830 = V334445. assign V913724 = V889313 + 1. assign V811768 = V330745.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV892383 = 9;\n\nFrom these direct assignment(s), we have: \nV162677 = V892383 = 9;\nNo other variables can be derived from V162677;\nNo other variables can be derived from V892383;\n\nNow we have done all the calculations. Derived variables are:\nV892383 = 9;\nV162677 = 9;\n\nNow we have finished this problem. ANSWER:\nV892383, V162677\n", "role": "assistant" } ]

[ "V159166", "V616040" ]

[ { "content": "<context>\nassign V208146 = V854697 - 1. assign V832964 = V647897 - 1. assign V646170 = V129708 + 1. assign V794012 = V402573. assign V484862 = V700629. assign V256058 = V315357 + 1. assign V695816 = V494805 - 1. assign V911864 = V979205 - 1. assign V009950 = V721421 + 1. assign V157769 = V567959. assign V810708 = V592727 - 1. assign V291331 = V679506. assign V900576 = V089633. assign V431106 = V832683. assign V583963 = V389332 + 1. assign V592727 = V863255 + 1. assign V427143 = V719429 - 1. assign V133796 = V647897. assign V159261 = V313545 - 1. assign V714722 = V472584 + 1. assign V625226 = V939164 + 1. assign V962559 = V157769 - 1. assign V667037 = V761750 + 1. assign V976047 = V185594 - 1. assign V380339 = V832964. assign V820617 = V313545 - 1. assign V691701 = V313545. assign V863667 = V567669. assign V313545 = V700629 + 1. assign V338338 = V133796 - 1. assign V708087 = V484862 + 1. assign V957650 = V896658. assign V802073 = V725427 - 1. assign V733535 = V185594 + 1. assign V968568 = V472584. assign V607209 = V383995 + 1. assign V134326 = V832683. assign V802238 = V798877 + 1. assign V442515 = V832964. assign V359868 = V910014. assign V008134 = V052923 + 1. assign V483030 = V719429. assign V893733 = V876717. assign V671707 = V208146 - 1. assign V647897 = V700629 - 1. assign V896658 = V089633 + 1. assign V897922 = V485120 - 1. assign V669627 = V158461. assign V177095 = V647897 - 1. assign V089633 = V402573 + 1. assign V996720 = V647897 + 1. assign V430306 = V271331 + 1. assign V797263 = V914440 - 1. assign V052923 = V314625 - 1. assign V798877 = V353330. assign V195253 = V667037 - 1. assign V279216 = V714400 - 1. assign V788817 = V407772. assign V159166 = 8. assign V657258 = V483030 - 1. assign V445992 = V484862. assign V740519 = V043124 - 1. assign V462482 = V530508 - 1. assign V353330 = V678010 - 1. assign V530508 = V714400 - 1. assign V979205 = V714722 - 1. assign V119998 = V185594 - 1. assign V407772 = V786391 - 1. assign V223042 = V089633 - 1. assign V603627 = V055663 - 1. assign V863255 = V431106 + 1. assign V683225 = V485120. assign V383995 = V158461 - 1. assign V364166 = V472584 + 1. assign V558993 = V678099 - 1. assign V956794 = V157769 + 1. assign V605063 = V315357 - 1. assign V910014 = V271331 + 1. assign V721421 = V158461 + 1. assign V833587 = V315357 - 1. assign V714400 = V152731 - 1. assign V719429 = V714400. assign V336134 = V442705 + 1. assign V211309 = V158461 + 1. assign V315357 = V761750. assign V462985 = V733535 + 1. assign V947952 = V708087. assign V271331 = V567959 + 1. assign V329069 = V647897 - 1. assign V306749 = V308628. assign V354960 = V133796 + 1. assign V316966 = V996720 + 1. assign V725427 = V678010. assign V128301 = V714400 + 1. assign V697659 = V900576 - 1. assign V078629 = V876717 + 1. assign V284703 = V977596 + 1. assign V678099 = V359868. assign V152731 = V567959 - 1. assign V312050 = V157769 - 1. assign V181535 = V854697 - 1. assign V442705 = V691701 + 1. assign V854697 = V939164 + 1. assign V936629 = V810708 - 1. assign V790250 = V868594 + 1. assign V939164 = V700629 + 1. assign V786391 = V832683. assign V122087 = V311442 - 1. assign V308628 = V856409. assign V700629 = V761750 + 1. assign V835285 = V618498 + 1. assign V679506 = V313545 - 1. assign V868594 = V174374 - 1. assign V129708 = V313545. assign V618498 = V312050 + 1. assign V389332 = V133796 + 1. assign V110367 = V719429 + 1. assign V542718 = V725427. assign V567669 = V678010. assign V043124 = V678099. assign V914440 = V129708 - 1. assign V008229 = V157769 - 1. assign V242886 = V008229 + 1. assign V087040 = V442515 - 1. assign V472584 = V157769 + 1. assign V352748 = V197968. assign V402573 = V313545 - 1. assign V476766 = V158461 + 1. assign V564817 = V087040. assign V158461 = V679506 + 1. assign V616040 = V159166. assign V263097 = V714400 + 1. assign V882199 = V936629 - 1. assign V567959 = V700629 - 1. assign V197968 = V782368 - 1. assign V413432 = V483030 + 1. assign V485120 = V152731. assign V832683 = V714722 + 1. assign V297534 = V761750. assign V992382 = V442515. assign V494805 = V947952 + 1. assign V063151 = V442515. assign V868095 = V052839 + 1. assign V185594 = V910014. assign V190922 = V128301 - 1. assign V603070 = V700629 + 1. assign V635341 = V128301 - 1. assign V927658 = V719429. assign V695139 = V714722. assign V412221 = V695139 - 1. assign V678010 = V312050 - 1. assign V426472 = V208146 - 1. assign V876717 = V313545 - 1. assign V314625 = V910014 - 1. assign V762691 = V380339 + 1. assign V724215 = V567959. assign V432934 = V110367 - 1. assign V163842 = V314625 + 1. assign V856409 = V708087 - 1. assign V249469 = V485120. assign V174374 = V313545 + 1. assign V052839 = V530508 - 1. assign V977596 = V089633. assign V650193 = V483030 + 1. assign V782368 = V700629. assign V311442 = V157769. assign V055816 = V714722. assign V223134 = V854697. assign V575887 = V427143. assign V055663 = V700629 + 1. assign V672737 = V976047 + 1. assign V245832 = V788817 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V208146 = V854697 - 1. assign V832964 = V647897 - 1. assign V646170 = V129708 + 1. assign V794012 = V402573. assign V484862 = V700629. assign V256058 = V315357 + 1. assign V695816 = V494805 - 1. assign V911864 = V979205 - 1. assign V009950 = V721421 + 1. assign V157769 = V567959. assign V810708 = V592727 - 1. assign V291331 = V679506. assign V900576 = V089633. assign V431106 = V832683. assign V583963 = V389332 + 1. assign V592727 = V863255 + 1. assign V427143 = V719429 - 1. assign V133796 = V647897. assign V159261 = V313545 - 1. assign V714722 = V472584 + 1. assign V625226 = V939164 + 1. assign V962559 = V157769 - 1. assign V667037 = V761750 + 1. assign V976047 = V185594 - 1. assign V380339 = V832964. assign V820617 = V313545 - 1. assign V691701 = V313545. assign V863667 = V567669. assign V313545 = V700629 + 1. assign V338338 = V133796 - 1. assign V708087 = V484862 + 1. assign V957650 = V896658. assign V802073 = V725427 - 1. assign V733535 = V185594 + 1. assign V968568 = V472584. assign V607209 = V383995 + 1. assign V134326 = V832683. assign V802238 = V798877 + 1. assign V442515 = V832964. assign V359868 = V910014. assign V008134 = V052923 + 1. assign V483030 = V719429. assign V893733 = V876717. assign V671707 = V208146 - 1. assign V647897 = V700629 - 1. assign V896658 = V089633 + 1. assign V897922 = V485120 - 1. assign V669627 = V158461. assign V177095 = V647897 - 1. assign V089633 = V402573 + 1. assign V996720 = V647897 + 1. assign V430306 = V271331 + 1. assign V797263 = V914440 - 1. assign V052923 = V314625 - 1. assign V798877 = V353330. assign V195253 = V667037 - 1. assign V279216 = V714400 - 1. assign V788817 = V407772. assign V159166 = 8. assign V657258 = V483030 - 1. assign V445992 = V484862. assign V740519 = V043124 - 1. assign V462482 = V530508 - 1. assign V353330 = V678010 - 1. assign V530508 = V714400 - 1. assign V979205 = V714722 - 1. assign V119998 = V185594 - 1. assign V407772 = V786391 - 1. assign V223042 = V089633 - 1. assign V603627 = V055663 - 1. assign V863255 = V431106 + 1. assign V683225 = V485120. assign V383995 = V158461 - 1. assign V364166 = V472584 + 1. assign V558993 = V678099 - 1. assign V956794 = V157769 + 1. assign V605063 = V315357 - 1. assign V910014 = V271331 + 1. assign V721421 = V158461 + 1. assign V833587 = V315357 - 1. assign V714400 = V152731 - 1. assign V719429 = V714400. assign V336134 = V442705 + 1. assign V211309 = V158461 + 1. assign V315357 = V761750. assign V462985 = V733535 + 1. assign V947952 = V708087. assign V271331 = V567959 + 1. assign V329069 = V647897 - 1. assign V306749 = V308628. assign V354960 = V133796 + 1. assign V316966 = V996720 + 1. assign V725427 = V678010. assign V128301 = V714400 + 1. assign V697659 = V900576 - 1. assign V078629 = V876717 + 1. assign V284703 = V977596 + 1. assign V678099 = V359868. assign V152731 = V567959 - 1. assign V312050 = V157769 - 1. assign V181535 = V854697 - 1. assign V442705 = V691701 + 1. assign V854697 = V939164 + 1. assign V936629 = V810708 - 1. assign V790250 = V868594 + 1. assign V939164 = V700629 + 1. assign V786391 = V832683. assign V122087 = V311442 - 1. assign V308628 = V856409. assign V700629 = V761750 + 1. assign V835285 = V618498 + 1. assign V679506 = V313545 - 1. assign V868594 = V174374 - 1. assign V129708 = V313545. assign V618498 = V312050 + 1. assign V389332 = V133796 + 1. assign V110367 = V719429 + 1. assign V542718 = V725427. assign V567669 = V678010. assign V043124 = V678099. assign V914440 = V129708 - 1. assign V008229 = V157769 - 1. assign V242886 = V008229 + 1. assign V087040 = V442515 - 1. assign V472584 = V157769 + 1. assign V352748 = V197968. assign V402573 = V313545 - 1. assign V476766 = V158461 + 1. assign V564817 = V087040. assign V158461 = V679506 + 1. assign V616040 = V159166. assign V263097 = V714400 + 1. assign V882199 = V936629 - 1. assign V567959 = V700629 - 1. assign V197968 = V782368 - 1. assign V413432 = V483030 + 1. assign V485120 = V152731. assign V832683 = V714722 + 1. assign V297534 = V761750. assign V992382 = V442515. assign V494805 = V947952 + 1. assign V063151 = V442515. assign V868095 = V052839 + 1. assign V185594 = V910014. assign V190922 = V128301 - 1. assign V603070 = V700629 + 1. assign V635341 = V128301 - 1. assign V927658 = V719429. assign V695139 = V714722. assign V412221 = V695139 - 1. assign V678010 = V312050 - 1. assign V426472 = V208146 - 1. assign V876717 = V313545 - 1. assign V314625 = V910014 - 1. assign V762691 = V380339 + 1. assign V724215 = V567959. assign V432934 = V110367 - 1. assign V163842 = V314625 + 1. assign V856409 = V708087 - 1. assign V249469 = V485120. assign V174374 = V313545 + 1. assign V052839 = V530508 - 1. assign V977596 = V089633. assign V650193 = V483030 + 1. assign V782368 = V700629. assign V311442 = V157769. assign V055816 = V714722. assign V223134 = V854697. assign V575887 = V427143. assign V055663 = V700629 + 1. assign V672737 = V976047 + 1. assign V245832 = V788817 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV159166 = 8;\n\nFrom these direct assignment(s), we have: \nV616040 = V159166 = 8;\nNo other variables can be derived from V616040;\nNo other variables can be derived from V159166;\n\nNow we have done all the calculations. Derived variables are:\nV159166 = 8;\nV616040 = 8;\n\nNow we have finished this problem. ANSWER:\nV159166, V616040\n", "role": "assistant" } ]

[ "V101124", "V584003" ]

[ { "content": "<context>\nassign V754850 = V967870 - 1. assign V862503 = V852008 + 1. assign V354165 = V406360 - 1. assign V140784 = V829228 - 1. assign V012833 = V829228 - 1. assign V471976 = V282718. assign V821982 = V778195. assign V721143 = V461273 - 1. assign V712488 = V140784 - 1. assign V485255 = V091771 + 1. assign V898558 = V530619. assign V160582 = V279963 - 1. assign V905997 = V521975 + 1. assign V954471 = V160582 + 1. assign V903595 = V705988. assign V083542 = V288485. assign V848754 = V461273. assign V128233 = V890347. assign V564300 = V829228 - 1. assign V482688 = V201516 + 1. assign V420847 = V430671 + 1. assign V143014 = V282718 + 1. assign V454456 = V497701 - 1. assign V941976 = V286746. assign V085150 = V694035 - 1. assign V232048 = V829228 - 1. assign V291841 = V135094. assign V497701 = V465185 + 1. assign V642450 = V676333. assign V748128 = V649913. assign V794172 = V030029. assign V253490 = V564300 - 1. assign V615481 = V954471 - 1. assign V502510 = V454762 - 1. assign V465474 = V689473. assign V150073 = V711249 + 1. assign V829228 = V890347 - 1. assign V309921 = V004938 + 1. assign V229718 = V679737. assign V566721 = V455503. assign V949585 = V612832. assign V846390 = V497701 + 1. assign V549061 = V367967 + 1. assign V300986 = V771351 + 1. assign V743555 = V232048 + 1. assign V461273 = V727785 + 1. assign V657518 = V012833. assign V856490 = V253490. assign V374156 = V829228 + 1. assign V288485 = V406360 - 1. assign V150826 = V160582. assign V586157 = V147498 + 1. assign V004938 = V454762 - 1. assign V465185 = V676333 - 1. assign V110048 = V143014 - 1. assign V328822 = V081795 + 1. assign V287306 = V009079 + 1. assign V991880 = V091771. assign V734808 = V521975 - 1. assign V852008 = V694035 - 1. assign V091771 = V374156 + 1. assign V849522 = V848754 + 1. assign V584003 = V101124. assign V612832 = V694035 + 1. assign V637464 = V406703. assign V875793 = V991880. assign V455503 = V232048. assign V009079 = V430671. assign V406219 = V530619 - 1. assign V478694 = V905997. assign V679737 = V829228 - 1. assign V030029 = V521975 - 1. assign V978559 = V232048. assign V147498 = V898558 - 1. assign V331042 = V829228. assign V573352 = V063710 + 1. assign V982153 = V150073 + 1. assign V426462 = V283871 - 1. assign V430671 = V642450 - 1. assign V135094 = V657518 - 1. assign V322345 = V283871 - 1. assign V947467 = V898558 - 1. assign V745822 = V597679 + 1. assign V597679 = V030029. assign V786012 = V645572. assign V594331 = V455503 - 1. assign V624538 = V282718 + 1. assign V876059 = V530619. assign V653308 = V984588 + 1. assign V853943 = V711249 + 1. assign V730141 = V521975 + 1. assign V406703 = V711249 + 1. assign V830338 = V530619. assign V351156 = V849522 - 1. assign V996467 = V743555 + 1. assign V676333 = V898558 + 1. assign V201516 = V711249 - 1. assign V413115 = V091771. assign V231993 = V282718 - 1. assign V901891 = V253490. assign V490677 = V734808 - 1. assign V778195 = V282718 + 1. assign V034930 = V009079. assign V748364 = V091771 - 1. assign V057471 = V676333 + 1. assign V055207 = V642450 - 1. assign V999418 = V890347 + 1. assign V492857 = V012833. assign V081795 = V817211 - 1. assign V190193 = V778195 + 1. assign V866735 = V597679 - 1. assign V711249 = V676333 - 1. assign V273272 = V679737 - 1. assign V840158 = V420847 - 1. assign V642539 = V482688 - 1. assign V283871 = V176055 + 1. assign V901417 = V406219 - 1. assign V967870 = V734677 - 1. assign V984588 = V849522 + 1. assign V645572 = V420847 - 1. assign V560882 = V586157 + 1. assign V715487 = V947467. assign V406360 = V898558 - 1. assign V350395 = V176055. assign V421779 = V316462 - 1. assign V447935 = V309921. assign V654241 = V866735. assign V454762 = V461273 + 1. assign V316462 = V012833. assign V282718 = V676333. assign V063710 = V406219 + 1. assign V919123 = V730141 + 1. assign V470399 = V253490 - 1. assign V536312 = V367967 - 1. assign V689473 = V009079. assign V705988 = V502510 + 1. assign V890347 = V711249 - 1. assign V771351 = V147779 + 1. assign V551299 = V991880 - 1. assign V692929 = V984588. assign V981135 = V978559 + 1. assign V930405 = V012833 + 1. assign V367535 = V497701 + 1. assign V279963 = V232048. assign V048793 = V689473 - 1. assign V176055 = V454456 - 1. assign V787312 = V586157 - 1. assign V147779 = V497701 - 1. assign V501037 = V140784. assign V769142 = V901417 + 1. assign V694035 = V711249. assign V649913 = V769142. assign V727001 = V478694 - 1. assign V286746 = V727785 - 1. assign V521975 = V331042 + 1. assign V968427 = V649913. assign V734677 = V083542. assign V595391 = V560882 + 1. assign V182469 = V734677 - 1. assign V931125 = V063710. assign V905774 = V322345 + 1. assign V727785 = V814312 + 1. assign V367967 = V947467 + 1. assign V802536 = V055207 - 1. assign V955423 = V711249 + 1. assign V101124 = 2. assign V523871 = V727001 + 1. assign V015523 = V754850. assign V166239 = V273272. assign V814312 = V530619 + 1. assign V022611 = V316462 + 1. assign V817211 = V282718 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V754850 = V967870 - 1. assign V862503 = V852008 + 1. assign V354165 = V406360 - 1. assign V140784 = V829228 - 1. assign V012833 = V829228 - 1. assign V471976 = V282718. assign V821982 = V778195. assign V721143 = V461273 - 1. assign V712488 = V140784 - 1. assign V485255 = V091771 + 1. assign V898558 = V530619. assign V160582 = V279963 - 1. assign V905997 = V521975 + 1. assign V954471 = V160582 + 1. assign V903595 = V705988. assign V083542 = V288485. assign V848754 = V461273. assign V128233 = V890347. assign V564300 = V829228 - 1. assign V482688 = V201516 + 1. assign V420847 = V430671 + 1. assign V143014 = V282718 + 1. assign V454456 = V497701 - 1. assign V941976 = V286746. assign V085150 = V694035 - 1. assign V232048 = V829228 - 1. assign V291841 = V135094. assign V497701 = V465185 + 1. assign V642450 = V676333. assign V748128 = V649913. assign V794172 = V030029. assign V253490 = V564300 - 1. assign V615481 = V954471 - 1. assign V502510 = V454762 - 1. assign V465474 = V689473. assign V150073 = V711249 + 1. assign V829228 = V890347 - 1. assign V309921 = V004938 + 1. assign V229718 = V679737. assign V566721 = V455503. assign V949585 = V612832. assign V846390 = V497701 + 1. assign V549061 = V367967 + 1. assign V300986 = V771351 + 1. assign V743555 = V232048 + 1. assign V461273 = V727785 + 1. assign V657518 = V012833. assign V856490 = V253490. assign V374156 = V829228 + 1. assign V288485 = V406360 - 1. assign V150826 = V160582. assign V586157 = V147498 + 1. assign V004938 = V454762 - 1. assign V465185 = V676333 - 1. assign V110048 = V143014 - 1. assign V328822 = V081795 + 1. assign V287306 = V009079 + 1. assign V991880 = V091771. assign V734808 = V521975 - 1. assign V852008 = V694035 - 1. assign V091771 = V374156 + 1. assign V849522 = V848754 + 1. assign V584003 = V101124. assign V612832 = V694035 + 1. assign V637464 = V406703. assign V875793 = V991880. assign V455503 = V232048. assign V009079 = V430671. assign V406219 = V530619 - 1. assign V478694 = V905997. assign V679737 = V829228 - 1. assign V030029 = V521975 - 1. assign V978559 = V232048. assign V147498 = V898558 - 1. assign V331042 = V829228. assign V573352 = V063710 + 1. assign V982153 = V150073 + 1. assign V426462 = V283871 - 1. assign V430671 = V642450 - 1. assign V135094 = V657518 - 1. assign V322345 = V283871 - 1. assign V947467 = V898558 - 1. assign V745822 = V597679 + 1. assign V597679 = V030029. assign V786012 = V645572. assign V594331 = V455503 - 1. assign V624538 = V282718 + 1. assign V876059 = V530619. assign V653308 = V984588 + 1. assign V853943 = V711249 + 1. assign V730141 = V521975 + 1. assign V406703 = V711249 + 1. assign V830338 = V530619. assign V351156 = V849522 - 1. assign V996467 = V743555 + 1. assign V676333 = V898558 + 1. assign V201516 = V711249 - 1. assign V413115 = V091771. assign V231993 = V282718 - 1. assign V901891 = V253490. assign V490677 = V734808 - 1. assign V778195 = V282718 + 1. assign V034930 = V009079. assign V748364 = V091771 - 1. assign V057471 = V676333 + 1. assign V055207 = V642450 - 1. assign V999418 = V890347 + 1. assign V492857 = V012833. assign V081795 = V817211 - 1. assign V190193 = V778195 + 1. assign V866735 = V597679 - 1. assign V711249 = V676333 - 1. assign V273272 = V679737 - 1. assign V840158 = V420847 - 1. assign V642539 = V482688 - 1. assign V283871 = V176055 + 1. assign V901417 = V406219 - 1. assign V967870 = V734677 - 1. assign V984588 = V849522 + 1. assign V645572 = V420847 - 1. assign V560882 = V586157 + 1. assign V715487 = V947467. assign V406360 = V898558 - 1. assign V350395 = V176055. assign V421779 = V316462 - 1. assign V447935 = V309921. assign V654241 = V866735. assign V454762 = V461273 + 1. assign V316462 = V012833. assign V282718 = V676333. assign V063710 = V406219 + 1. assign V919123 = V730141 + 1. assign V470399 = V253490 - 1. assign V536312 = V367967 - 1. assign V689473 = V009079. assign V705988 = V502510 + 1. assign V890347 = V711249 - 1. assign V771351 = V147779 + 1. assign V551299 = V991880 - 1. assign V692929 = V984588. assign V981135 = V978559 + 1. assign V930405 = V012833 + 1. assign V367535 = V497701 + 1. assign V279963 = V232048. assign V048793 = V689473 - 1. assign V176055 = V454456 - 1. assign V787312 = V586157 - 1. assign V147779 = V497701 - 1. assign V501037 = V140784. assign V769142 = V901417 + 1. assign V694035 = V711249. assign V649913 = V769142. assign V727001 = V478694 - 1. assign V286746 = V727785 - 1. assign V521975 = V331042 + 1. assign V968427 = V649913. assign V734677 = V083542. assign V595391 = V560882 + 1. assign V182469 = V734677 - 1. assign V931125 = V063710. assign V905774 = V322345 + 1. assign V727785 = V814312 + 1. assign V367967 = V947467 + 1. assign V802536 = V055207 - 1. assign V955423 = V711249 + 1. assign V101124 = 2. assign V523871 = V727001 + 1. assign V015523 = V754850. assign V166239 = V273272. assign V814312 = V530619 + 1. assign V022611 = V316462 + 1. assign V817211 = V282718 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV101124 = 2;\n\nFrom these direct assignment(s), we have: \nV584003 = V101124 = 2;\nNo other variables can be derived from V584003;\nNo other variables can be derived from V101124;\n\nNow we have done all the calculations. Derived variables are:\nV101124 = 2;\nV584003 = 2;\n\nNow we have finished this problem. ANSWER:\nV101124, V584003\n", "role": "assistant" } ]

[ "V519883", "V249481" ]

[ { "content": "<context>\nassign V797075 = V624832. assign V186059 = V921431 - 1. assign V860429 = V745593 + 1. assign V240642 = V354532. assign V286967 = V136371. assign V179247 = V233513. assign V383632 = V852890 - 1. assign V137527 = V086465. assign V612205 = V895280 + 1. assign V573447 = V269776 + 1. assign V511792 = V623003 + 1. assign V734511 = V576435 - 1. assign V639804 = V487347 + 1. assign V434399 = V510889 + 1. assign V163824 = V660523 - 1. assign V125893 = V788606 - 1. assign V576435 = V075641 - 1. assign V866501 = V179247. assign V001348 = V624832 - 1. assign V254990 = V498367 + 1. assign V269776 = V796701 + 1. assign V784508 = V452750 + 1. assign V991547 = V263976 - 1. assign V230396 = V773760. assign V718709 = V179247 + 1. assign V255873 = V487347. assign V337513 = V021347 + 1. assign V105328 = V055720 - 1. assign V189236 = V247798. assign V267222 = V660523. assign V872050 = V642360. assign V301890 = V233513. assign V567243 = V996636 - 1. assign V958626 = V254990 + 1. assign V464329 = V549461 + 1. assign V546533 = V623003. assign V346801 = V928348. assign V261107 = V361642. assign V956044 = V001348 + 1. assign V263976 = V361642 + 1. assign V021347 = V624832 - 1. assign V809897 = V163824. assign V745593 = V880966 + 1. assign V699643 = V199688 - 1. assign V796397 = V498367 - 1. assign V247798 = V774153. assign V710361 = V352938 - 1. assign V808195 = V151492. assign V382852 = V044197 - 1. assign V624832 = V971619. assign V682447 = V834234 + 1. assign V549461 = V855267 + 1. assign V066968 = V186059 - 1. assign V413337 = V669005. assign V136371 = V338754. assign V999589 = V000803. assign V995767 = V352938 - 1. assign V773760 = V620952 + 1. assign V839441 = V805962. assign V028366 = V054147 + 1. assign V852890 = V860429 + 1. assign V510652 = V921431. assign V581407 = V734019. assign V970298 = V105328. assign V413707 = V151492. assign V338754 = V834234 + 1. assign V660523 = V612205 + 1. assign V977099 = V895280. assign V712131 = V583667. assign V452750 = V796701 - 1. assign V788606 = V163824 + 1. assign V098550 = V718709 + 1. assign V487347 = V880966 + 1. assign V075641 = V839441. assign V679082 = V977099 - 1. assign V880966 = V267222 - 1. assign V971619 = V178544. assign V142926 = V583667 - 1. assign V361642 = V839441 + 1. assign V824011 = V338754. assign V467022 = V163824 + 1. assign V212207 = V879660. assign V054147 = V796701 + 1. assign V642360 = V796701 + 1. assign V958981 = V013769 + 1. assign V575873 = V055720 - 1. assign V209121 = V593216. assign V754271 = V805962. assign V557192 = V921431. assign V731944 = V612205 - 1. assign V934224 = V483361 + 1. assign V593216 = V072897 - 1. assign V352938 = V269776 + 1. assign V458193 = V745593 - 1. assign V137849 = V383632 + 1. assign V415765 = V782132. assign V483361 = V583667 - 1. assign V326200 = V361642 + 1. assign V539198 = V125893. assign V620952 = V880966 + 1. assign V583667 = V660523 - 1. assign V226374 = V629447 - 1. assign V762511 = V352938 - 1. assign V190477 = V764471 - 1. assign V055720 = V895280. assign V045453 = V660523. assign V868587 = V581407. assign V263745 = V054128 - 1. assign V510889 = V354532. assign V996636 = V551441. assign V834234 = V301890 + 1. assign V572250 = V247798 + 1. assign V794465 = V983353. assign V063225 = V510652 - 1. assign V151492 = V660523 - 1. assign V623003 = V642360 + 1. assign V551441 = V602470 + 1. assign V765687 = V796701. assign V756066 = V354532. assign V764471 = V209121. assign V039455 = V467022 + 1. assign V862379 = V338754. assign V222011 = V970298 - 1. assign V249481 = V519883. assign V629447 = V040678 + 1. assign V805962 = V895280. assign V013769 = V745593. assign V034573 = V754271. assign V178544 = V796701. assign V246380 = V063225. assign V714499 = V233513 - 1. assign V422499 = V710361 - 1. assign V061808 = V098550. assign V983353 = V879660 + 1. assign V921431 = V642360 + 1. assign V634049 = V039455 + 1. assign V796701 = V895280. assign V731808 = V679082 - 1. assign V855267 = V796701. assign V632975 = V546533 + 1. assign V015951 = V773760. assign V881235 = V797075. assign V879660 = V839441 + 1. assign V354532 = V075641 - 1. assign V248944 = V921431 - 1. assign V040678 = V248944 - 1. assign V616656 = V098550. assign V044197 = V573447 - 1. assign V797026 = V834234 + 1. assign V612710 = V581407 + 1. assign V373242 = V679082 - 1. assign V160546 = V718709 + 1. assign V448214 = V136371. assign V169881 = V805962 - 1. assign V000803 = V034573. assign V928348 = V872050 + 1. assign V734019 = V261107 - 1. assign V669005 = V714499. assign V572160 = V839441 - 1. assign V498367 = V805962 + 1. assign V782132 = V413337. assign V086465 = V233513 + 1. assign V719075 = V699643. assign V199688 = V879660 + 1. assign V054128 = V602470 - 1. assign V682884 = V382852 - 1. assign V072897 = V573447. assign V519883 = 3. assign V233513 = V044197 - 1. assign V774153 = V075641. assign V602470 = V872050. assign V855600 = V373242 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V797075 = V624832. assign V186059 = V921431 - 1. assign V860429 = V745593 + 1. assign V240642 = V354532. assign V286967 = V136371. assign V179247 = V233513. assign V383632 = V852890 - 1. assign V137527 = V086465. assign V612205 = V895280 + 1. assign V573447 = V269776 + 1. assign V511792 = V623003 + 1. assign V734511 = V576435 - 1. assign V639804 = V487347 + 1. assign V434399 = V510889 + 1. assign V163824 = V660523 - 1. assign V125893 = V788606 - 1. assign V576435 = V075641 - 1. assign V866501 = V179247. assign V001348 = V624832 - 1. assign V254990 = V498367 + 1. assign V269776 = V796701 + 1. assign V784508 = V452750 + 1. assign V991547 = V263976 - 1. assign V230396 = V773760. assign V718709 = V179247 + 1. assign V255873 = V487347. assign V337513 = V021347 + 1. assign V105328 = V055720 - 1. assign V189236 = V247798. assign V267222 = V660523. assign V872050 = V642360. assign V301890 = V233513. assign V567243 = V996636 - 1. assign V958626 = V254990 + 1. assign V464329 = V549461 + 1. assign V546533 = V623003. assign V346801 = V928348. assign V261107 = V361642. assign V956044 = V001348 + 1. assign V263976 = V361642 + 1. assign V021347 = V624832 - 1. assign V809897 = V163824. assign V745593 = V880966 + 1. assign V699643 = V199688 - 1. assign V796397 = V498367 - 1. assign V247798 = V774153. assign V710361 = V352938 - 1. assign V808195 = V151492. assign V382852 = V044197 - 1. assign V624832 = V971619. assign V682447 = V834234 + 1. assign V549461 = V855267 + 1. assign V066968 = V186059 - 1. assign V413337 = V669005. assign V136371 = V338754. assign V999589 = V000803. assign V995767 = V352938 - 1. assign V773760 = V620952 + 1. assign V839441 = V805962. assign V028366 = V054147 + 1. assign V852890 = V860429 + 1. assign V510652 = V921431. assign V581407 = V734019. assign V970298 = V105328. assign V413707 = V151492. assign V338754 = V834234 + 1. assign V660523 = V612205 + 1. assign V977099 = V895280. assign V712131 = V583667. assign V452750 = V796701 - 1. assign V788606 = V163824 + 1. assign V098550 = V718709 + 1. assign V487347 = V880966 + 1. assign V075641 = V839441. assign V679082 = V977099 - 1. assign V880966 = V267222 - 1. assign V971619 = V178544. assign V142926 = V583667 - 1. assign V361642 = V839441 + 1. assign V824011 = V338754. assign V467022 = V163824 + 1. assign V212207 = V879660. assign V054147 = V796701 + 1. assign V642360 = V796701 + 1. assign V958981 = V013769 + 1. assign V575873 = V055720 - 1. assign V209121 = V593216. assign V754271 = V805962. assign V557192 = V921431. assign V731944 = V612205 - 1. assign V934224 = V483361 + 1. assign V593216 = V072897 - 1. assign V352938 = V269776 + 1. assign V458193 = V745593 - 1. assign V137849 = V383632 + 1. assign V415765 = V782132. assign V483361 = V583667 - 1. assign V326200 = V361642 + 1. assign V539198 = V125893. assign V620952 = V880966 + 1. assign V583667 = V660523 - 1. assign V226374 = V629447 - 1. assign V762511 = V352938 - 1. assign V190477 = V764471 - 1. assign V055720 = V895280. assign V045453 = V660523. assign V868587 = V581407. assign V263745 = V054128 - 1. assign V510889 = V354532. assign V996636 = V551441. assign V834234 = V301890 + 1. assign V572250 = V247798 + 1. assign V794465 = V983353. assign V063225 = V510652 - 1. assign V151492 = V660523 - 1. assign V623003 = V642360 + 1. assign V551441 = V602470 + 1. assign V765687 = V796701. assign V756066 = V354532. assign V764471 = V209121. assign V039455 = V467022 + 1. assign V862379 = V338754. assign V222011 = V970298 - 1. assign V249481 = V519883. assign V629447 = V040678 + 1. assign V805962 = V895280. assign V013769 = V745593. assign V034573 = V754271. assign V178544 = V796701. assign V246380 = V063225. assign V714499 = V233513 - 1. assign V422499 = V710361 - 1. assign V061808 = V098550. assign V983353 = V879660 + 1. assign V921431 = V642360 + 1. assign V634049 = V039455 + 1. assign V796701 = V895280. assign V731808 = V679082 - 1. assign V855267 = V796701. assign V632975 = V546533 + 1. assign V015951 = V773760. assign V881235 = V797075. assign V879660 = V839441 + 1. assign V354532 = V075641 - 1. assign V248944 = V921431 - 1. assign V040678 = V248944 - 1. assign V616656 = V098550. assign V044197 = V573447 - 1. assign V797026 = V834234 + 1. assign V612710 = V581407 + 1. assign V373242 = V679082 - 1. assign V160546 = V718709 + 1. assign V448214 = V136371. assign V169881 = V805962 - 1. assign V000803 = V034573. assign V928348 = V872050 + 1. assign V734019 = V261107 - 1. assign V669005 = V714499. assign V572160 = V839441 - 1. assign V498367 = V805962 + 1. assign V782132 = V413337. assign V086465 = V233513 + 1. assign V719075 = V699643. assign V199688 = V879660 + 1. assign V054128 = V602470 - 1. assign V682884 = V382852 - 1. assign V072897 = V573447. assign V519883 = 3. assign V233513 = V044197 - 1. assign V774153 = V075641. assign V602470 = V872050. assign V855600 = V373242 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV519883 = 3;\n\nFrom these direct assignment(s), we have: \nV249481 = V519883 = 3;\nNo other variables can be derived from V249481;\nNo other variables can be derived from V519883;\n\nNow we have done all the calculations. Derived variables are:\nV519883 = 3;\nV249481 = 3;\n\nNow we have finished this problem. ANSWER:\nV519883, V249481\n", "role": "assistant" } ]

[ "V050287", "V349117" ]

[ { "content": "<context>\nassign V066860 = V385090 - 1. assign V122244 = V550921. assign V550921 = V330596 - 1. assign V202560 = V463579. assign V330596 = V933310 - 1. assign V601822 = V907537. assign V629345 = V725636 + 1. assign V871556 = V586169. assign V009081 = V478813 - 1. assign V449297 = V152417 - 1. assign V265462 = V122244 - 1. assign V131878 = V449297 - 1. assign V240099 = V700492 - 1. assign V470703 = V694204 + 1. assign V211191 = V123393. assign V644972 = V392506. assign V095296 = V687593 + 1. assign V983132 = V462818 - 1. assign V868427 = V391472 - 1. assign V094462 = V351735. assign V726274 = V391472 + 1. assign V059272 = V508886 - 1. assign V249969 = V478340 + 1. assign V042945 = V126859 - 1. assign V694727 = V668718 + 1. assign V101498 = V816747 - 1. assign V297724 = V752748. assign V152417 = V933310 + 1. assign V728507 = V329597 + 1. assign V248082 = V293935 - 1. assign V804267 = V630589 - 1. assign V013748 = V629345 + 1. assign V854418 = V550921 - 1. assign V103588 = V293935 - 1. assign V450525 = V078098 - 1. assign V981052 = V828866 - 1. assign V960029 = V126859 + 1. assign V891522 = V878447. assign V297635 = V078098. assign V933425 = V580256 - 1. assign V626177 = V765202 + 1. assign V114146 = V027993. assign V803967 = V330596 + 1. assign V752748 = V462818 - 1. assign V397483 = V744619 + 1. assign V725371 = V828866. assign V462818 = V816747. assign V689342 = V121633 + 1. assign V478340 = V803967 + 1. assign V306475 = V385090 - 1. assign V903058 = V360805 + 1. assign V328613 = V450525. assign V218914 = V933310. assign V078822 = V633039 - 1. assign V919203 = V122244. assign V323282 = V844480 + 1. assign V071254 = V437742 + 1. assign V437742 = V752748 - 1. assign V491268 = V328613 + 1. assign V674551 = V218914 + 1. assign V402254 = V844480. assign V641671 = V550921 - 1. assign V884861 = V687593 + 1. assign V209303 = V907537 - 1. assign V701595 = V771916. assign V508886 = V949955 + 1. assign V478813 = V462818. assign V250651 = V081981 - 1. assign V050287 = 1. assign V028569 = V694204 - 1. assign V441666 = V559202 - 1. assign V870984 = V123393 + 1. assign V329597 = V700492. assign V718484 = V126859. assign V351735 = V101498 - 1. assign V200298 = V586529. assign V395799 = V478340 + 1. assign V693285 = V293935 - 1. assign V580256 = V293935 + 1. assign V123393 = V016689 + 1. assign V725636 = V974519 - 1. assign V765202 = V323282 + 1. assign V027993 = V218914 - 1. assign V241186 = V700492 - 1. assign V700492 = V933310 - 1. assign V633039 = V580256. assign V016689 = V027993 - 1. assign V391472 = V949955 - 1. assign V759206 = V508886 + 1. assign V867245 = V974519 + 1. assign V520883 = V388559 - 1. assign V986278 = V687593 - 1. assign V855752 = V249969 + 1. assign V919218 = V143945. assign V360805 = V974519. assign V586169 = V240099 + 1. assign V933310 = V462818. assign V104675 = V055049. assign V767569 = V694204 - 1. assign V350629 = V147649. assign V668718 = V974519 - 1. assign V666935 = V974519 - 1. assign V794686 = V700492 - 1. assign V546218 = V559202. assign V974519 = V700492 + 1. assign V480570 = V806502 + 1. assign V813159 = V694204. assign V907537 = V933310 + 1. assign V143945 = V550921. assign V241659 = V296897 + 1. assign V828866 = V360805 + 1. assign V744619 = V907537 + 1. assign V844480 = V949955 - 1. assign V694204 = V027993. assign V041122 = V524954 + 1. assign V630589 = V392506 + 1. assign V712719 = V550921. assign V491550 = V816747 + 1. assign V385090 = V360805 + 1. assign V491513 = V078098. assign V949955 = V016689. assign V771916 = V009081. assign V419954 = V601822 + 1. assign V090893 = V131878 + 1. assign V103193 = V152417 - 1. assign V536826 = V281465. assign V296897 = V813159 - 1. assign V891501 = V392506 + 1. assign V365259 = V974519. assign V663046 = V013748. assign V116522 = V907537. assign V293935 = V143945. assign V718564 = V200298 - 1. assign V281465 = V550921 - 1. assign V578462 = V884861 - 1. assign V559202 = V586529 + 1. assign V786166 = V718484 + 1. assign V388559 = V974519 + 1. assign V081981 = V586529. assign V603759 = V794686. assign V126859 = V752748 + 1. assign V463579 = V209303 - 1. assign V806502 = V867245 + 1. assign V586529 = V152417 + 1. assign V878447 = V218914 - 1. assign V446911 = V131878. assign V625375 = V663046 - 1. assign V226415 = V586169 - 1. assign V123942 = V480570 - 1. assign V078098 = V550921 - 1. assign V611985 = V828866 + 1. assign V349117 = V050287. assign V121633 = V700492 - 1. assign V055049 = V603759 - 1. assign V669245 = V725636. assign V635724 = V891522 - 1. assign V142276 = V700492 + 1. assign V812285 = V891522. assign V088340 = V126859 + 1. assign V095013 = V388559 + 1. assign V060655 = V870984 + 1. assign V504372 = V078098. assign V147649 = V142276 + 1. assign V524954 = V218914 - 1. assign V687593 = V828866 - 1. assign V900481 = V854418. assign V365114 = V855752 - 1. assign V392506 = V126859. assign V022232 = V601822 - 1. assign V901562 = V700492 + 1. assign V064864 = V463579 + 1. assign V592905 = V209303 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V066860 = V385090 - 1. assign V122244 = V550921. assign V550921 = V330596 - 1. assign V202560 = V463579. assign V330596 = V933310 - 1. assign V601822 = V907537. assign V629345 = V725636 + 1. assign V871556 = V586169. assign V009081 = V478813 - 1. assign V449297 = V152417 - 1. assign V265462 = V122244 - 1. assign V131878 = V449297 - 1. assign V240099 = V700492 - 1. assign V470703 = V694204 + 1. assign V211191 = V123393. assign V644972 = V392506. assign V095296 = V687593 + 1. assign V983132 = V462818 - 1. assign V868427 = V391472 - 1. assign V094462 = V351735. assign V726274 = V391472 + 1. assign V059272 = V508886 - 1. assign V249969 = V478340 + 1. assign V042945 = V126859 - 1. assign V694727 = V668718 + 1. assign V101498 = V816747 - 1. assign V297724 = V752748. assign V152417 = V933310 + 1. assign V728507 = V329597 + 1. assign V248082 = V293935 - 1. assign V804267 = V630589 - 1. assign V013748 = V629345 + 1. assign V854418 = V550921 - 1. assign V103588 = V293935 - 1. assign V450525 = V078098 - 1. assign V981052 = V828866 - 1. assign V960029 = V126859 + 1. assign V891522 = V878447. assign V297635 = V078098. assign V933425 = V580256 - 1. assign V626177 = V765202 + 1. assign V114146 = V027993. assign V803967 = V330596 + 1. assign V752748 = V462818 - 1. assign V397483 = V744619 + 1. assign V725371 = V828866. assign V462818 = V816747. assign V689342 = V121633 + 1. assign V478340 = V803967 + 1. assign V306475 = V385090 - 1. assign V903058 = V360805 + 1. assign V328613 = V450525. assign V218914 = V933310. assign V078822 = V633039 - 1. assign V919203 = V122244. assign V323282 = V844480 + 1. assign V071254 = V437742 + 1. assign V437742 = V752748 - 1. assign V491268 = V328613 + 1. assign V674551 = V218914 + 1. assign V402254 = V844480. assign V641671 = V550921 - 1. assign V884861 = V687593 + 1. assign V209303 = V907537 - 1. assign V701595 = V771916. assign V508886 = V949955 + 1. assign V478813 = V462818. assign V250651 = V081981 - 1. assign V050287 = 1. assign V028569 = V694204 - 1. assign V441666 = V559202 - 1. assign V870984 = V123393 + 1. assign V329597 = V700492. assign V718484 = V126859. assign V351735 = V101498 - 1. assign V200298 = V586529. assign V395799 = V478340 + 1. assign V693285 = V293935 - 1. assign V580256 = V293935 + 1. assign V123393 = V016689 + 1. assign V725636 = V974519 - 1. assign V765202 = V323282 + 1. assign V027993 = V218914 - 1. assign V241186 = V700492 - 1. assign V700492 = V933310 - 1. assign V633039 = V580256. assign V016689 = V027993 - 1. assign V391472 = V949955 - 1. assign V759206 = V508886 + 1. assign V867245 = V974519 + 1. assign V520883 = V388559 - 1. assign V986278 = V687593 - 1. assign V855752 = V249969 + 1. assign V919218 = V143945. assign V360805 = V974519. assign V586169 = V240099 + 1. assign V933310 = V462818. assign V104675 = V055049. assign V767569 = V694204 - 1. assign V350629 = V147649. assign V668718 = V974519 - 1. assign V666935 = V974519 - 1. assign V794686 = V700492 - 1. assign V546218 = V559202. assign V974519 = V700492 + 1. assign V480570 = V806502 + 1. assign V813159 = V694204. assign V907537 = V933310 + 1. assign V143945 = V550921. assign V241659 = V296897 + 1. assign V828866 = V360805 + 1. assign V744619 = V907537 + 1. assign V844480 = V949955 - 1. assign V694204 = V027993. assign V041122 = V524954 + 1. assign V630589 = V392506 + 1. assign V712719 = V550921. assign V491550 = V816747 + 1. assign V385090 = V360805 + 1. assign V491513 = V078098. assign V949955 = V016689. assign V771916 = V009081. assign V419954 = V601822 + 1. assign V090893 = V131878 + 1. assign V103193 = V152417 - 1. assign V536826 = V281465. assign V296897 = V813159 - 1. assign V891501 = V392506 + 1. assign V365259 = V974519. assign V663046 = V013748. assign V116522 = V907537. assign V293935 = V143945. assign V718564 = V200298 - 1. assign V281465 = V550921 - 1. assign V578462 = V884861 - 1. assign V559202 = V586529 + 1. assign V786166 = V718484 + 1. assign V388559 = V974519 + 1. assign V081981 = V586529. assign V603759 = V794686. assign V126859 = V752748 + 1. assign V463579 = V209303 - 1. assign V806502 = V867245 + 1. assign V586529 = V152417 + 1. assign V878447 = V218914 - 1. assign V446911 = V131878. assign V625375 = V663046 - 1. assign V226415 = V586169 - 1. assign V123942 = V480570 - 1. assign V078098 = V550921 - 1. assign V611985 = V828866 + 1. assign V349117 = V050287. assign V121633 = V700492 - 1. assign V055049 = V603759 - 1. assign V669245 = V725636. assign V635724 = V891522 - 1. assign V142276 = V700492 + 1. assign V812285 = V891522. assign V088340 = V126859 + 1. assign V095013 = V388559 + 1. assign V060655 = V870984 + 1. assign V504372 = V078098. assign V147649 = V142276 + 1. assign V524954 = V218914 - 1. assign V687593 = V828866 - 1. assign V900481 = V854418. assign V365114 = V855752 - 1. assign V392506 = V126859. assign V022232 = V601822 - 1. assign V901562 = V700492 + 1. assign V064864 = V463579 + 1. assign V592905 = V209303 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV050287 = 1;\n\nFrom these direct assignment(s), we have: \nV349117 = V050287 = 1;\nNo other variables can be derived from V349117;\nNo other variables can be derived from V050287;\n\nNow we have done all the calculations. Derived variables are:\nV050287 = 1;\nV349117 = 1;\n\nNow we have finished this problem. ANSWER:\nV050287, V349117\n", "role": "assistant" } ]

[ "V297045", "V956492" ]

[ { "content": "<context>\nassign V260442 = V632341. assign V880629 = V490978 - 1. assign V126313 = V910798 + 1. assign V356932 = V678979. assign V428270 = V772684. assign V529191 = V873304. assign V328544 = V261771 - 1. assign V463411 = V530524 - 1. assign V810094 = V696662 - 1. assign V313947 = V134091 - 1. assign V809507 = V945122 + 1. assign V592505 = V898066. assign V259418 = V775468 + 1. assign V893710 = V926834 + 1. assign V660084 = V941198. assign V152119 = V910798. assign V802886 = V838302 + 1. assign V828732 = V355451 - 1. assign V297045 = 0. assign V155125 = V917728. assign V298480 = V632341 + 1. assign V736756 = V966793 + 1. assign V026085 = V524726 + 1. assign V962169 = V341219 + 1. assign V735322 = V072192 + 1. assign V696662 = V366080 - 1. assign V899304 = V603316. assign V782014 = V298480. assign V966793 = V151282. assign V998487 = V040225 - 1. assign V334690 = V263841 - 1. assign V678979 = V511962 + 1. assign V934347 = V879150 + 1. assign V312637 = V040225 - 1. assign V387410 = V529191. assign V632341 = V809507 + 1. assign V917728 = V298480 - 1. assign V151282 = V879150 - 1. assign V962284 = V966793 - 1. assign V076924 = V360814. assign V261771 = V023525 + 1. assign V941198 = V819271 + 1. assign V910798 = V151282. assign V926834 = V895121 + 1. assign V779645 = V947424 - 1. assign V848505 = V182128 - 1. assign V205728 = V945122 - 1. assign V897402 = V239202. assign V041755 = V538610. assign V481330 = V214756. assign V317807 = V538610. assign V636400 = V076924 - 1. assign V873304 = V182128 + 1. assign V960133 = V945122 + 1. assign V544674 = V963714 + 1. assign V094292 = V910798 + 1. assign V139243 = V132551. assign V717204 = V072192 + 1. assign V236490 = V263841 + 1. assign V192656 = V134091 + 1. assign V606650 = V895121 + 1. assign V907044 = V855321 - 1. assign V838302 = V966793. assign V097384 = V343508 + 1. assign V250229 = V603316 - 1. assign V437104 = V366080 + 1. assign V677739 = V076924 - 1. assign V360814 = V263841. assign V041640 = V182128. assign V932854 = V312637. assign V620975 = V838302 + 1. assign V571048 = V076924 + 1. assign V292235 = V344146 - 1. assign V313014 = V530524 - 1. assign V520273 = V603316 - 1. assign V072192 = V205728 + 1. assign V799837 = V260442. assign V805989 = V538610 + 1. assign V960673 = V530585. assign V111401 = V960673. assign V239771 = V814997. assign V487209 = V623348 - 1. assign V789912 = V516227. assign V239202 = V637675 + 1. assign V350658 = V379278. assign V547067 = V218233. assign V772684 = V809507 + 1. assign V341219 = V789912 + 1. assign V441032 = V305229 - 1. assign V214756 = V360814 + 1. assign V029324 = V772684 - 1. assign V134091 = V072192. assign V179471 = V152119 + 1. assign V963714 = V735322. assign V305229 = V538610 - 1. assign V023525 = V879150 + 1. assign V913157 = V623348 - 1. assign V819271 = V544674 - 1. assign V042109 = V076924. assign V265820 = V637675. assign V828645 = V805989. assign V344146 = V678979. assign V473840 = V313947. assign V898066 = V879150 + 1. assign V474764 = V588106 - 1. assign V366080 = V947424 + 1. assign V218233 = V779645 + 1. assign V343508 = V538610 - 1. assign V305613 = V915615. assign V265052 = V040225. assign V739382 = V205728. assign V516227 = V547067 + 1. assign V182128 = V305229 - 1. assign V538610 = V672815 - 1. assign V893090 = V678979. assign V775468 = V922249 + 1. assign V355451 = V735322. assign V253109 = V151282. assign V191349 = V910798. assign V530585 = V305229 - 1. assign V853830 = V828645 - 1. assign V327611 = V809507 - 1. assign V709822 = V632129. assign V672815 = V945122. assign V202301 = V097384. assign V632129 = V343508 + 1. assign V524726 = V192656. assign V879150 = V942186 - 1. assign V263841 = V942186 + 1. assign V503181 = V913157 + 1. assign V418529 = V538610. assign V604536 = V250229 - 1. assign V814997 = V735322 + 1. assign V831576 = V530585. assign V040225 = V672815 - 1. assign V621361 = V538610 + 1. assign V286619 = V898066 - 1. assign V895121 = V966793 + 1. assign V949224 = V516227 + 1. assign V986474 = V828645 - 1. assign V379278 = V511962 - 1. assign V504271 = V360814 + 1. assign V130103 = V239202 - 1. assign V335978 = V775468. assign V032700 = V529191 + 1. assign V193964 = V205728 - 1. assign V425324 = V132551 - 1. assign V637675 = V538610. assign V205030 = V623348 - 1. assign V422646 = V910798 - 1. assign V132551 = V437104. assign V855321 = V895121 - 1. assign V021001 = V945122. assign V922249 = V305229 - 1. assign V915615 = V029324. assign V511962 = V623348 + 1. assign V956492 = V297045. assign V558485 = V879150 + 1. assign V942186 = V672815 - 1. assign V938627 = V898066. assign V588106 = V632341 + 1. assign V530524 = V960133 - 1. assign V791788 = V735322. assign V490978 = V298480 - 1. assign V936594 = V239202 - 1. assign V179836 = V263841 + 1. assign V623348 = V805989 + 1. assign V059564 = V899304 - 1. assign V603316 = V910798. assign V690064 = V736756 + 1. assign V805532 = V696662 + 1. assign V947424 = V621361 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V260442 = V632341. assign V880629 = V490978 - 1. assign V126313 = V910798 + 1. assign V356932 = V678979. assign V428270 = V772684. assign V529191 = V873304. assign V328544 = V261771 - 1. assign V463411 = V530524 - 1. assign V810094 = V696662 - 1. assign V313947 = V134091 - 1. assign V809507 = V945122 + 1. assign V592505 = V898066. assign V259418 = V775468 + 1. assign V893710 = V926834 + 1. assign V660084 = V941198. assign V152119 = V910798. assign V802886 = V838302 + 1. assign V828732 = V355451 - 1. assign V297045 = 0. assign V155125 = V917728. assign V298480 = V632341 + 1. assign V736756 = V966793 + 1. assign V026085 = V524726 + 1. assign V962169 = V341219 + 1. assign V735322 = V072192 + 1. assign V696662 = V366080 - 1. assign V899304 = V603316. assign V782014 = V298480. assign V966793 = V151282. assign V998487 = V040225 - 1. assign V334690 = V263841 - 1. assign V678979 = V511962 + 1. assign V934347 = V879150 + 1. assign V312637 = V040225 - 1. assign V387410 = V529191. assign V632341 = V809507 + 1. assign V917728 = V298480 - 1. assign V151282 = V879150 - 1. assign V962284 = V966793 - 1. assign V076924 = V360814. assign V261771 = V023525 + 1. assign V941198 = V819271 + 1. assign V910798 = V151282. assign V926834 = V895121 + 1. assign V779645 = V947424 - 1. assign V848505 = V182128 - 1. assign V205728 = V945122 - 1. assign V897402 = V239202. assign V041755 = V538610. assign V481330 = V214756. assign V317807 = V538610. assign V636400 = V076924 - 1. assign V873304 = V182128 + 1. assign V960133 = V945122 + 1. assign V544674 = V963714 + 1. assign V094292 = V910798 + 1. assign V139243 = V132551. assign V717204 = V072192 + 1. assign V236490 = V263841 + 1. assign V192656 = V134091 + 1. assign V606650 = V895121 + 1. assign V907044 = V855321 - 1. assign V838302 = V966793. assign V097384 = V343508 + 1. assign V250229 = V603316 - 1. assign V437104 = V366080 + 1. assign V677739 = V076924 - 1. assign V360814 = V263841. assign V041640 = V182128. assign V932854 = V312637. assign V620975 = V838302 + 1. assign V571048 = V076924 + 1. assign V292235 = V344146 - 1. assign V313014 = V530524 - 1. assign V520273 = V603316 - 1. assign V072192 = V205728 + 1. assign V799837 = V260442. assign V805989 = V538610 + 1. assign V960673 = V530585. assign V111401 = V960673. assign V239771 = V814997. assign V487209 = V623348 - 1. assign V789912 = V516227. assign V239202 = V637675 + 1. assign V350658 = V379278. assign V547067 = V218233. assign V772684 = V809507 + 1. assign V341219 = V789912 + 1. assign V441032 = V305229 - 1. assign V214756 = V360814 + 1. assign V029324 = V772684 - 1. assign V134091 = V072192. assign V179471 = V152119 + 1. assign V963714 = V735322. assign V305229 = V538610 - 1. assign V023525 = V879150 + 1. assign V913157 = V623348 - 1. assign V819271 = V544674 - 1. assign V042109 = V076924. assign V265820 = V637675. assign V828645 = V805989. assign V344146 = V678979. assign V473840 = V313947. assign V898066 = V879150 + 1. assign V474764 = V588106 - 1. assign V366080 = V947424 + 1. assign V218233 = V779645 + 1. assign V343508 = V538610 - 1. assign V305613 = V915615. assign V265052 = V040225. assign V739382 = V205728. assign V516227 = V547067 + 1. assign V182128 = V305229 - 1. assign V538610 = V672815 - 1. assign V893090 = V678979. assign V775468 = V922249 + 1. assign V355451 = V735322. assign V253109 = V151282. assign V191349 = V910798. assign V530585 = V305229 - 1. assign V853830 = V828645 - 1. assign V327611 = V809507 - 1. assign V709822 = V632129. assign V672815 = V945122. assign V202301 = V097384. assign V632129 = V343508 + 1. assign V524726 = V192656. assign V879150 = V942186 - 1. assign V263841 = V942186 + 1. assign V503181 = V913157 + 1. assign V418529 = V538610. assign V604536 = V250229 - 1. assign V814997 = V735322 + 1. assign V831576 = V530585. assign V040225 = V672815 - 1. assign V621361 = V538610 + 1. assign V286619 = V898066 - 1. assign V895121 = V966793 + 1. assign V949224 = V516227 + 1. assign V986474 = V828645 - 1. assign V379278 = V511962 - 1. assign V504271 = V360814 + 1. assign V130103 = V239202 - 1. assign V335978 = V775468. assign V032700 = V529191 + 1. assign V193964 = V205728 - 1. assign V425324 = V132551 - 1. assign V637675 = V538610. assign V205030 = V623348 - 1. assign V422646 = V910798 - 1. assign V132551 = V437104. assign V855321 = V895121 - 1. assign V021001 = V945122. assign V922249 = V305229 - 1. assign V915615 = V029324. assign V511962 = V623348 + 1. assign V956492 = V297045. assign V558485 = V879150 + 1. assign V942186 = V672815 - 1. assign V938627 = V898066. assign V588106 = V632341 + 1. assign V530524 = V960133 - 1. assign V791788 = V735322. assign V490978 = V298480 - 1. assign V936594 = V239202 - 1. assign V179836 = V263841 + 1. assign V623348 = V805989 + 1. assign V059564 = V899304 - 1. assign V603316 = V910798. assign V690064 = V736756 + 1. assign V805532 = V696662 + 1. assign V947424 = V621361 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV297045 = 0;\n\nFrom these direct assignment(s), we have: \nV956492 = V297045 = 0;\nNo other variables can be derived from V956492;\nNo other variables can be derived from V297045;\n\nNow we have done all the calculations. Derived variables are:\nV297045 = 0;\nV956492 = 0;\n\nNow we have finished this problem. ANSWER:\nV297045, V956492\n", "role": "assistant" } ]

[ "V048961", "V412643" ]

[ { "content": "<context>\nassign V881727 = V665711. assign V188366 = V674275 + 1. assign V727793 = V108069 - 1. assign V600578 = V569762 - 1. assign V193157 = V302356. assign V472985 = V237911 + 1. assign V181106 = V930602 + 1. assign V871776 = V992228. assign V264429 = V441902 + 1. assign V122671 = V853187 + 1. assign V233433 = V926650 + 1. assign V822709 = V274248 + 1. assign V906431 = V822530. assign V353763 = V080635. assign V801061 = V302356 - 1. assign V068959 = V893283 + 1. assign V005254 = V905772 + 1. assign V046775 = V904591 - 1. assign V653338 = V685137 + 1. assign V905772 = V722694 - 1. assign V992228 = V024664 - 1. assign V172905 = V932415 + 1. assign V765977 = V018311 - 1. assign V989164 = V667521 + 1. assign V143422 = V760957 - 1. assign V025032 = V067327. assign V040515 = V462662 + 1. assign V896712 = V035970 - 1. assign V992307 = V781701. assign V490907 = V120520. assign V845286 = V762902. assign V002551 = V519709 - 1. assign V428112 = V302356 - 1. assign V035970 = V683366. assign V853187 = V683366 - 1. assign V771196 = V035970. assign V547572 = V847674 - 1. assign V031847 = V305948. assign V182140 = V765977 - 1. assign V396901 = V233433 + 1. assign V393515 = V523344 - 1. assign V835732 = V031847 + 1. assign V519709 = V018311 + 1. assign V386158 = V762902 - 1. assign V871207 = V674275 - 1. assign V589317 = V040515 + 1. assign V412529 = V565136 - 1. assign V274249 = V462662. assign V847674 = V168712. assign V591691 = V989164 + 1. assign V168712 = V685137. assign V221827 = V435478. assign V671690 = V777056 + 1. assign V565136 = V674275 - 1. assign V305948 = V279471. assign V901383 = V932373 - 1. assign V111273 = V392283 + 1. assign V266426 = V762902 + 1. assign V873084 = V674275 - 1. assign V711337 = V435478 - 1. assign V365792 = V247426. assign V893283 = V685137 - 1. assign V237911 = V565136. assign V018311 = V024664 - 1. assign V280032 = V441902 - 1. assign V197975 = V852531 - 1. assign V774020 = V385098 + 1. assign V948902 = V653397 - 1. assign V156740 = V547572 - 1. assign V825293 = V025032. assign V406699 = V472985 - 1. assign V665711 = V657843. assign V906589 = V523344. assign V523344 = V237911. assign V842555 = V018311 + 1. assign V873830 = V893283 - 1. assign V821267 = V565136 - 1. assign V279471 = V575073. assign V283298 = V428112 + 1. assign V856452 = V565136 - 1. assign V781414 = V446560 + 1. assign V684622 = V300608. assign V362154 = V221827 + 1. assign V569762 = V193157 - 1. assign V250420 = V557842 + 1. assign V685137 = V428112 - 1. assign V746260 = V575073. assign V779347 = V861892 + 1. assign V916549 = V335794 - 1. assign V681196 = V665711 + 1. assign V932373 = V300608 - 1. assign V626715 = V005254. assign V446560 = V575073. assign V398225 = V683366 - 1. assign V578366 = V335794 + 1. assign V385098 = V398225 - 1. assign V457608 = V386158 + 1. assign V930602 = V853187. assign V002908 = V067327. assign V315748 = V932373. assign V657843 = V896712 + 1. assign V781701 = V801061. assign V460636 = V781701 - 1. assign V067327 = V300608. assign V274248 = V237911. assign V120520 = V565136. assign V094333 = V040515 - 1. assign V042292 = V385098 - 1. assign V760957 = V446560. assign V643547 = V274249. assign V371778 = V120520. assign V048961 = 1. assign V747325 = V266426 + 1. assign V246838 = V578366 - 1. assign V263771 = V386158. assign V435478 = V575073 - 1. assign V861892 = V722694. assign V502128 = V490550. assign V366616 = V669631 - 1. assign V094576 = V901383. assign V510524 = V801061 - 1. assign V865399 = V845286 + 1. assign V954157 = V683366 + 1. assign V392283 = V398225 + 1. assign V631296 = V398225 - 1. assign V335794 = V428112 + 1. assign V575073 = V683366 + 1. assign V360721 = V385260. assign V599737 = V263771 - 1. assign V150093 = V172905. assign V777056 = V094576. assign V334357 = V871776 - 1. assign V152926 = V871207 - 1. assign V518992 = V335794 - 1. assign V510818 = V850953. assign V284558 = V371778. assign V441902 = V765977 - 1. assign V080635 = V765977. assign V108069 = V040515 - 1. assign V490550 = V035970 - 1. assign V302356 = V771196 + 1. assign V926650 = V905772. assign V653397 = V386158. assign V462662 = V024664 - 1. assign V659216 = V684622 + 1. assign V385260 = V472985 - 1. assign V055803 = V669631. assign V024664 = V386158. assign V669631 = V904591 + 1. assign V850953 = V904591 + 1. assign V248529 = V490907 - 1. assign V852531 = V080635. assign V300608 = V386158 + 1. assign V965848 = V094576 + 1. assign V116350 = V120520 + 1. assign V017651 = V766317 - 1. assign V557842 = V822530 - 1. assign V892451 = V906589. assign V247426 = V762902 - 1. assign V766317 = V300608. assign V674275 = V300608 + 1. assign V822530 = V237911. assign V683366 = V674275 - 1. assign V667521 = V300608. assign V904591 = V067327 - 1. assign V932415 = V762902. assign V879571 = V435478 + 1. assign V949783 = V926650. assign V412643 = V048961. assign V090624 = V385260 + 1. assign V722694 = V035970 + 1. assign V575756 = V653338 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V881727 = V665711. assign V188366 = V674275 + 1. assign V727793 = V108069 - 1. assign V600578 = V569762 - 1. assign V193157 = V302356. assign V472985 = V237911 + 1. assign V181106 = V930602 + 1. assign V871776 = V992228. assign V264429 = V441902 + 1. assign V122671 = V853187 + 1. assign V233433 = V926650 + 1. assign V822709 = V274248 + 1. assign V906431 = V822530. assign V353763 = V080635. assign V801061 = V302356 - 1. assign V068959 = V893283 + 1. assign V005254 = V905772 + 1. assign V046775 = V904591 - 1. assign V653338 = V685137 + 1. assign V905772 = V722694 - 1. assign V992228 = V024664 - 1. assign V172905 = V932415 + 1. assign V765977 = V018311 - 1. assign V989164 = V667521 + 1. assign V143422 = V760957 - 1. assign V025032 = V067327. assign V040515 = V462662 + 1. assign V896712 = V035970 - 1. assign V992307 = V781701. assign V490907 = V120520. assign V845286 = V762902. assign V002551 = V519709 - 1. assign V428112 = V302356 - 1. assign V035970 = V683366. assign V853187 = V683366 - 1. assign V771196 = V035970. assign V547572 = V847674 - 1. assign V031847 = V305948. assign V182140 = V765977 - 1. assign V396901 = V233433 + 1. assign V393515 = V523344 - 1. assign V835732 = V031847 + 1. assign V519709 = V018311 + 1. assign V386158 = V762902 - 1. assign V871207 = V674275 - 1. assign V589317 = V040515 + 1. assign V412529 = V565136 - 1. assign V274249 = V462662. assign V847674 = V168712. assign V591691 = V989164 + 1. assign V168712 = V685137. assign V221827 = V435478. assign V671690 = V777056 + 1. assign V565136 = V674275 - 1. assign V305948 = V279471. assign V901383 = V932373 - 1. assign V111273 = V392283 + 1. assign V266426 = V762902 + 1. assign V873084 = V674275 - 1. assign V711337 = V435478 - 1. assign V365792 = V247426. assign V893283 = V685137 - 1. assign V237911 = V565136. assign V018311 = V024664 - 1. assign V280032 = V441902 - 1. assign V197975 = V852531 - 1. assign V774020 = V385098 + 1. assign V948902 = V653397 - 1. assign V156740 = V547572 - 1. assign V825293 = V025032. assign V406699 = V472985 - 1. assign V665711 = V657843. assign V906589 = V523344. assign V523344 = V237911. assign V842555 = V018311 + 1. assign V873830 = V893283 - 1. assign V821267 = V565136 - 1. assign V279471 = V575073. assign V283298 = V428112 + 1. assign V856452 = V565136 - 1. assign V781414 = V446560 + 1. assign V684622 = V300608. assign V362154 = V221827 + 1. assign V569762 = V193157 - 1. assign V250420 = V557842 + 1. assign V685137 = V428112 - 1. assign V746260 = V575073. assign V779347 = V861892 + 1. assign V916549 = V335794 - 1. assign V681196 = V665711 + 1. assign V932373 = V300608 - 1. assign V626715 = V005254. assign V446560 = V575073. assign V398225 = V683366 - 1. assign V578366 = V335794 + 1. assign V385098 = V398225 - 1. assign V457608 = V386158 + 1. assign V930602 = V853187. assign V002908 = V067327. assign V315748 = V932373. assign V657843 = V896712 + 1. assign V781701 = V801061. assign V460636 = V781701 - 1. assign V067327 = V300608. assign V274248 = V237911. assign V120520 = V565136. assign V094333 = V040515 - 1. assign V042292 = V385098 - 1. assign V760957 = V446560. assign V643547 = V274249. assign V371778 = V120520. assign V048961 = 1. assign V747325 = V266426 + 1. assign V246838 = V578366 - 1. assign V263771 = V386158. assign V435478 = V575073 - 1. assign V861892 = V722694. assign V502128 = V490550. assign V366616 = V669631 - 1. assign V094576 = V901383. assign V510524 = V801061 - 1. assign V865399 = V845286 + 1. assign V954157 = V683366 + 1. assign V392283 = V398225 + 1. assign V631296 = V398225 - 1. assign V335794 = V428112 + 1. assign V575073 = V683366 + 1. assign V360721 = V385260. assign V599737 = V263771 - 1. assign V150093 = V172905. assign V777056 = V094576. assign V334357 = V871776 - 1. assign V152926 = V871207 - 1. assign V518992 = V335794 - 1. assign V510818 = V850953. assign V284558 = V371778. assign V441902 = V765977 - 1. assign V080635 = V765977. assign V108069 = V040515 - 1. assign V490550 = V035970 - 1. assign V302356 = V771196 + 1. assign V926650 = V905772. assign V653397 = V386158. assign V462662 = V024664 - 1. assign V659216 = V684622 + 1. assign V385260 = V472985 - 1. assign V055803 = V669631. assign V024664 = V386158. assign V669631 = V904591 + 1. assign V850953 = V904591 + 1. assign V248529 = V490907 - 1. assign V852531 = V080635. assign V300608 = V386158 + 1. assign V965848 = V094576 + 1. assign V116350 = V120520 + 1. assign V017651 = V766317 - 1. assign V557842 = V822530 - 1. assign V892451 = V906589. assign V247426 = V762902 - 1. assign V766317 = V300608. assign V674275 = V300608 + 1. assign V822530 = V237911. assign V683366 = V674275 - 1. assign V667521 = V300608. assign V904591 = V067327 - 1. assign V932415 = V762902. assign V879571 = V435478 + 1. assign V949783 = V926650. assign V412643 = V048961. assign V090624 = V385260 + 1. assign V722694 = V035970 + 1. assign V575756 = V653338 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV048961 = 1;\n\nFrom these direct assignment(s), we have: \nV412643 = V048961 = 1;\nNo other variables can be derived from V412643;\nNo other variables can be derived from V048961;\n\nNow we have done all the calculations. Derived variables are:\nV048961 = 1;\nV412643 = 1;\n\nNow we have finished this problem. ANSWER:\nV048961, V412643\n", "role": "assistant" } ]

[ "V093631", "V340608" ]

[ { "content": "<context>\nassign V620347 = V940717 - 1. assign V598407 = V771841. assign V393735 = V548674 + 1. assign V256732 = V868025 - 1. assign V361717 = V739647 - 1. assign V068176 = V763418 - 1. assign V452979 = V545964. assign V061264 = V763418 + 1. assign V286026 = V361717 + 1. assign V391488 = V600097 - 1. assign V708315 = V774871. assign V423914 = V547033 + 1. assign V267947 = V952361 + 1. assign V678226 = V643460 + 1. assign V066968 = V035466 + 1. assign V712240 = V380126. assign V042931 = V543746 + 1. assign V944561 = V786779 - 1. assign V599584 = V081205. assign V034894 = V548674. assign V051290 = V511309 - 1. assign V876255 = V260320 - 1. assign V376072 = V786779 + 1. assign V080017 = V082213 + 1. assign V714505 = V810829. assign V874817 = V545964 - 1. assign V275975 = V600097. assign V693720 = V856482 + 1. assign V684624 = V361717. assign V832102 = V901306 + 1. assign V868025 = V548674 - 1. assign V536114 = V656985. assign V274847 = V261842 - 1. assign V380126 = V708315 - 1. assign V483746 = V273034 + 1. assign V743426 = V643460 - 1. assign V093631 = 4. assign V060549 = V286026. assign V970607 = V187860 + 1. assign V940717 = V267947. assign V047265 = V841159 + 1. assign V743550 = V453502 - 1. assign V856482 = V598407. assign V701528 = V620347 + 1. assign V500084 = V774871 - 1. assign V656985 = V261842 + 1. assign V786779 = V443122. assign V536608 = V403566. assign V203657 = V393735. assign V675764 = V599584 - 1. assign V141389 = V949207 - 1. assign V031923 = V435763 + 1. assign V427134 = V536114 - 1. assign V548674 = V273034 + 1. assign V215283 = V361717 - 1. assign V594834 = V601941. assign V906052 = V161215. assign V965285 = V545964. assign V141315 = V166513 + 1. assign V947352 = V270366 - 1. assign V880830 = V063393 - 1. assign V571694 = V893035 + 1. assign V340608 = V093631. assign V356121 = V918704. assign V949207 = V080017 - 1. assign V270366 = V901306. assign V936634 = V818789 + 1. assign V123418 = V599584 - 1. assign V769661 = V161215. assign V916498 = V940717. assign V676196 = V261568. assign V774871 = V952361. assign V885782 = V727302. assign V161215 = V919157 - 1. assign V901306 = V511309 - 1. assign V993707 = V996204. assign V261568 = V540083 + 1. assign V600097 = V547033 + 1. assign V796106 = V802738. assign V405990 = V906666 - 1. assign V625977 = V714505. assign V935147 = V810829 + 1. assign V343671 = V599584 + 1. assign V187860 = V483746. assign V952361 = V643460. assign V403566 = V443122. assign V036236 = V215670 + 1. assign V261842 = V952361 - 1. assign V068799 = V273034 + 1. assign V810829 = V739647 + 1. assign V906666 = V490045 + 1. assign V494671 = V354618 - 1. assign V883011 = V398349 + 1. assign V545964 = V774871. assign V802738 = V047265 + 1. assign V354618 = V952361. assign V443122 = V547033 - 1. assign V604317 = V035466 + 1. assign V613345 = V712240. assign V955901 = V453502 - 1. assign V035466 = V161215 - 1. assign V638563 = V774871. assign V260320 = V443122 + 1. assign V081205 = V398349 + 1. assign V273034 = V511309 + 1. assign V511309 = V774871 - 1. assign V771841 = V763418 - 1. assign V453502 = V080017. assign V444700 = V034894 - 1. assign V918704 = V260320. assign V672870 = V774871 - 1. assign V236877 = V763418 - 1. assign V191401 = V343671 - 1. assign V979685 = V034894 + 1. assign V628496 = V832102 - 1. assign V429993 = V141315 - 1. assign V050275 = V369418 + 1. assign V519595 = V161215. assign V097570 = V261842. assign V847193 = V547033 + 1. assign V184097 = V270366 + 1. assign V610182 = V398349. assign V082154 = V952361 + 1. assign V283536 = V369418. assign V818789 = V035466. assign V893035 = V935147 + 1. assign V082213 = V739647 + 1. assign V483470 = V082213 + 1. assign V727302 = V547033. assign V772351 = V511309 + 1. assign V547033 = V739647. assign V000783 = V166513 - 1. assign V891673 = V082154. assign V714280 = V832102. assign V996204 = V952361 - 1. assign V589917 = V283536. assign V841159 = V739647 - 1. assign V746821 = V862374 + 1. assign V215670 = V031923 - 1. assign V574593 = V536114 - 1. assign V387951 = V361717 + 1. assign V601941 = V260320. assign V166513 = V483470 - 1. assign V054824 = V638563 + 1. assign V540083 = V952361 - 1. assign V049104 = V545964 - 1. assign V944596 = V947352 - 1. assign V631195 = V343671. assign V490045 = V714505 + 1. assign V694647 = V901306. assign V137720 = V184097 + 1. assign V862374 = V215283. assign V370119 = V141315. assign V955952 = V847193 + 1. assign V410642 = V540083. assign V571750 = V082213 - 1. assign V543746 = V261568. assign V739647 = V643460. assign V361249 = V600097 - 1. assign V435763 = V708315 + 1. assign V585678 = V215670 - 1. assign V763418 = V398349 - 1. assign V919157 = V774871 + 1. assign V945092 = V802738 + 1. assign V542566 = V082213 + 1. assign V369418 = V063393. assign V941399 = V955901 - 1. assign V764387 = V841159 + 1. assign V398349 = V643460 + 1. assign V789333 = V993707 + 1. assign V861526 = V993707 - 1. assign V063393 = V774871 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V620347 = V940717 - 1. assign V598407 = V771841. assign V393735 = V548674 + 1. assign V256732 = V868025 - 1. assign V361717 = V739647 - 1. assign V068176 = V763418 - 1. assign V452979 = V545964. assign V061264 = V763418 + 1. assign V286026 = V361717 + 1. assign V391488 = V600097 - 1. assign V708315 = V774871. assign V423914 = V547033 + 1. assign V267947 = V952361 + 1. assign V678226 = V643460 + 1. assign V066968 = V035466 + 1. assign V712240 = V380126. assign V042931 = V543746 + 1. assign V944561 = V786779 - 1. assign V599584 = V081205. assign V034894 = V548674. assign V051290 = V511309 - 1. assign V876255 = V260320 - 1. assign V376072 = V786779 + 1. assign V080017 = V082213 + 1. assign V714505 = V810829. assign V874817 = V545964 - 1. assign V275975 = V600097. assign V693720 = V856482 + 1. assign V684624 = V361717. assign V832102 = V901306 + 1. assign V868025 = V548674 - 1. assign V536114 = V656985. assign V274847 = V261842 - 1. assign V380126 = V708315 - 1. assign V483746 = V273034 + 1. assign V743426 = V643460 - 1. assign V093631 = 4. assign V060549 = V286026. assign V970607 = V187860 + 1. assign V940717 = V267947. assign V047265 = V841159 + 1. assign V743550 = V453502 - 1. assign V856482 = V598407. assign V701528 = V620347 + 1. assign V500084 = V774871 - 1. assign V656985 = V261842 + 1. assign V786779 = V443122. assign V536608 = V403566. assign V203657 = V393735. assign V675764 = V599584 - 1. assign V141389 = V949207 - 1. assign V031923 = V435763 + 1. assign V427134 = V536114 - 1. assign V548674 = V273034 + 1. assign V215283 = V361717 - 1. assign V594834 = V601941. assign V906052 = V161215. assign V965285 = V545964. assign V141315 = V166513 + 1. assign V947352 = V270366 - 1. assign V880830 = V063393 - 1. assign V571694 = V893035 + 1. assign V340608 = V093631. assign V356121 = V918704. assign V949207 = V080017 - 1. assign V270366 = V901306. assign V936634 = V818789 + 1. assign V123418 = V599584 - 1. assign V769661 = V161215. assign V916498 = V940717. assign V676196 = V261568. assign V774871 = V952361. assign V885782 = V727302. assign V161215 = V919157 - 1. assign V901306 = V511309 - 1. assign V993707 = V996204. assign V261568 = V540083 + 1. assign V600097 = V547033 + 1. assign V796106 = V802738. assign V405990 = V906666 - 1. assign V625977 = V714505. assign V935147 = V810829 + 1. assign V343671 = V599584 + 1. assign V187860 = V483746. assign V952361 = V643460. assign V403566 = V443122. assign V036236 = V215670 + 1. assign V261842 = V952361 - 1. assign V068799 = V273034 + 1. assign V810829 = V739647 + 1. assign V906666 = V490045 + 1. assign V494671 = V354618 - 1. assign V883011 = V398349 + 1. assign V545964 = V774871. assign V802738 = V047265 + 1. assign V354618 = V952361. assign V443122 = V547033 - 1. assign V604317 = V035466 + 1. assign V613345 = V712240. assign V955901 = V453502 - 1. assign V035466 = V161215 - 1. assign V638563 = V774871. assign V260320 = V443122 + 1. assign V081205 = V398349 + 1. assign V273034 = V511309 + 1. assign V511309 = V774871 - 1. assign V771841 = V763418 - 1. assign V453502 = V080017. assign V444700 = V034894 - 1. assign V918704 = V260320. assign V672870 = V774871 - 1. assign V236877 = V763418 - 1. assign V191401 = V343671 - 1. assign V979685 = V034894 + 1. assign V628496 = V832102 - 1. assign V429993 = V141315 - 1. assign V050275 = V369418 + 1. assign V519595 = V161215. assign V097570 = V261842. assign V847193 = V547033 + 1. assign V184097 = V270366 + 1. assign V610182 = V398349. assign V082154 = V952361 + 1. assign V283536 = V369418. assign V818789 = V035466. assign V893035 = V935147 + 1. assign V082213 = V739647 + 1. assign V483470 = V082213 + 1. assign V727302 = V547033. assign V772351 = V511309 + 1. assign V547033 = V739647. assign V000783 = V166513 - 1. assign V891673 = V082154. assign V714280 = V832102. assign V996204 = V952361 - 1. assign V589917 = V283536. assign V841159 = V739647 - 1. assign V746821 = V862374 + 1. assign V215670 = V031923 - 1. assign V574593 = V536114 - 1. assign V387951 = V361717 + 1. assign V601941 = V260320. assign V166513 = V483470 - 1. assign V054824 = V638563 + 1. assign V540083 = V952361 - 1. assign V049104 = V545964 - 1. assign V944596 = V947352 - 1. assign V631195 = V343671. assign V490045 = V714505 + 1. assign V694647 = V901306. assign V137720 = V184097 + 1. assign V862374 = V215283. assign V370119 = V141315. assign V955952 = V847193 + 1. assign V410642 = V540083. assign V571750 = V082213 - 1. assign V543746 = V261568. assign V739647 = V643460. assign V361249 = V600097 - 1. assign V435763 = V708315 + 1. assign V585678 = V215670 - 1. assign V763418 = V398349 - 1. assign V919157 = V774871 + 1. assign V945092 = V802738 + 1. assign V542566 = V082213 + 1. assign V369418 = V063393. assign V941399 = V955901 - 1. assign V764387 = V841159 + 1. assign V398349 = V643460 + 1. assign V789333 = V993707 + 1. assign V861526 = V993707 - 1. assign V063393 = V774871 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV093631 = 4;\n\nFrom these direct assignment(s), we have: \nV340608 = V093631 = 4;\nNo other variables can be derived from V340608;\nNo other variables can be derived from V093631;\n\nNow we have done all the calculations. Derived variables are:\nV093631 = 4;\nV340608 = 4;\n\nNow we have finished this problem. ANSWER:\nV093631, V340608\n", "role": "assistant" } ]

[ "V647972" ]

[ { "content": "<context>\nassign V207303 = V651514. assign V022914 = V216893 - 1. assign V714970 = V718157 - 1. assign V620926 = V257195 - 1. assign V639689 = V643750 + 1. assign V118031 = V431807. assign V651514 = V849453 + 1. assign V082865 = V620926 + 1. assign V330274 = V721868. assign V262077 = V900336 + 1. assign V654341 = V889286 - 1. assign V299585 = V106967 - 1. assign V196910 = V342703. assign V758354 = V461480. assign V715028 = V693569 - 1. assign V187402 = V106967 - 1. assign V382846 = V718157 - 1. assign V647972 = V191915 - 1. assign V882654 = V878862 + 1. assign V988290 = V978791 + 1. assign V004664 = V257195. assign V380145 = V318016. assign V725351 = V180061. assign V274567 = V721868 + 1. assign V180061 = V533844 + 1. assign V211970 = V158586 + 1. assign V586922 = V174715 - 1. assign V274621 = V620926. assign V205771 = V139865 - 1. assign V679526 = V102815 + 1. assign V062204 = V380145 + 1. assign V061823 = V878862 - 1. assign V369740 = V285246 - 1. assign V897774 = V721868. assign V878862 = V062204. assign V156201 = V257195. assign V171838 = V285246 - 1. assign V661427 = V718157 - 1. assign V285246 = V878862. assign V564250 = V693569. assign V654762 = V849453 - 1. assign V649431 = V380145 + 1. assign V170866 = V448414 - 1. assign V106967 = V889286 - 1. assign V956232 = V167408. assign V046043 = V564250 + 1. assign V693569 = V432100. assign V601279 = V244841 + 1. assign V461480 = V718261. assign V974374 = V523051. assign V641543 = V654341 + 1. assign V783947 = V889286. assign V394449 = V244841 - 1. assign V174715 = V651514 + 1. assign V234147 = V084313. assign V368143 = V211589 - 1. assign V140746 = V016171 + 1. assign V257902 = V139865 - 1. assign V626737 = V380145. assign V648555 = V244841 + 1. assign V728774 = V878862 - 1. assign V192080 = V725351. assign V252632 = V974555 + 1. assign V291302 = V064363. assign V098910 = V170896 - 1. assign V417478 = V900336 + 1. assign V178654 = V725351 - 1. assign V016171 = V384333. assign V922788 = V039266. assign V761911 = V715028. assign V931874 = V291302 + 1. assign V191915 = 4. assign V889286 = V257195. assign V031823 = V008148. assign V410450 = V216893 + 1. assign V850590 = V255196. assign V974555 = V643750 + 1. assign V571075 = V432100 + 1. assign V810641 = V141769 - 1. assign V808403 = V900936 + 1. assign V164476 = V927425 - 1. assign V046066 = V004664 + 1. assign V393814 = V679526 - 1. assign V177075 = V318016. assign V008148 = V643750. assign V139865 = V849453 + 1. assign V927425 = V539733 + 1. assign V448189 = V156201 - 1. assign V551640 = V062204. assign V919342 = V379885 - 1. assign V708433 = V919342 - 1. assign V802564 = V553374 + 1. assign V900336 = V523051 + 1. assign V950633 = V511732 - 1. assign V525556 = V523051 + 1. assign V218453 = V141769. assign V432100 = V889286 - 1. assign V039266 = V417478. assign V721868 = V062204 + 1. assign V037978 = V620926. assign V887582 = V849453 - 1. assign V553374 = V156201 - 1. assign V380491 = V211970 - 1. assign V861307 = V156201. assign V468078 = V649431 + 1. assign V448414 = V291302 - 1. assign V457196 = V643443. assign V866310 = V064363 - 1. assign V216571 = V180061 - 1. assign V081481 = V098910 - 1. assign V533844 = V639689 + 1. assign V211589 = V105819. assign V936107 = V783947 - 1. assign V947203 = V082865 - 1. assign V379885 = V084313 - 1. assign V141769 = V410450 - 1. assign V084313 = V082865 + 1. assign V170896 = V156201 - 1. assign V090247 = V062204. assign V718157 = V654341 - 1. assign V539256 = V216571 + 1. assign V849453 = V380145. assign V848028 = V931874 - 1. assign V486572 = V384333 + 1. assign V767775 = V082865 + 1. assign V167408 = V342703. assign V583103 = V643443 - 1. assign V206648 = V718261. assign V158586 = V511732 + 1. assign V802891 = V867586. assign V319279 = V448189 + 1. assign V064363 = V082865. assign V217401 = V950633 + 1. assign V601067 = V330274 - 1. assign V102815 = V721868 + 1. assign V179191 = V523051 - 1. assign V206251 = V140800. assign V363837 = V342703 - 1. assign V556220 = V140800. assign V539733 = V082865. assign V900936 = V643750 + 1. assign V072362 = V285246 + 1. assign V362752 = V461480. assign V694105 = V553374 + 1. assign V691554 = V384333 - 1. assign V244841 = V654762 - 1. assign V140800 = V158586 + 1. assign V764170 = V867586 + 1. assign V326589 = V721868 - 1. assign V216893 = V380145 - 1. assign V718261 = V533844. assign V066706 = V244841 - 1. assign V511732 = V533844 + 1. assign V185976 = V216893 - 1. assign V110718 = V850590 - 1. assign V382165 = V661427 + 1. assign V318016 = V432100. assign V523051 = V105819. assign V978791 = V431807 - 1. assign V867586 = V586922. assign V072636 = V988290 - 1. assign V722198 = V715028. assign V384333 = V234674. assign V643750 = V432100 + 1. assign V342703 = V900336 + 1. assign V255196 = V714970 + 1. assign V431807 = V216893. assign V245615 = V139865 - 1. assign V178503 = V008148 + 1. assign V234674 = V158586 - 1. assign V643443 = V931874. assign V105819 = V620926.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V207303 = V651514. assign V022914 = V216893 - 1. assign V714970 = V718157 - 1. assign V620926 = V257195 - 1. assign V639689 = V643750 + 1. assign V118031 = V431807. assign V651514 = V849453 + 1. assign V082865 = V620926 + 1. assign V330274 = V721868. assign V262077 = V900336 + 1. assign V654341 = V889286 - 1. assign V299585 = V106967 - 1. assign V196910 = V342703. assign V758354 = V461480. assign V715028 = V693569 - 1. assign V187402 = V106967 - 1. assign V382846 = V718157 - 1. assign V647972 = V191915 - 1. assign V882654 = V878862 + 1. assign V988290 = V978791 + 1. assign V004664 = V257195. assign V380145 = V318016. assign V725351 = V180061. assign V274567 = V721868 + 1. assign V180061 = V533844 + 1. assign V211970 = V158586 + 1. assign V586922 = V174715 - 1. assign V274621 = V620926. assign V205771 = V139865 - 1. assign V679526 = V102815 + 1. assign V062204 = V380145 + 1. assign V061823 = V878862 - 1. assign V369740 = V285246 - 1. assign V897774 = V721868. assign V878862 = V062204. assign V156201 = V257195. assign V171838 = V285246 - 1. assign V661427 = V718157 - 1. assign V285246 = V878862. assign V564250 = V693569. assign V654762 = V849453 - 1. assign V649431 = V380145 + 1. assign V170866 = V448414 - 1. assign V106967 = V889286 - 1. assign V956232 = V167408. assign V046043 = V564250 + 1. assign V693569 = V432100. assign V601279 = V244841 + 1. assign V461480 = V718261. assign V974374 = V523051. assign V641543 = V654341 + 1. assign V783947 = V889286. assign V394449 = V244841 - 1. assign V174715 = V651514 + 1. assign V234147 = V084313. assign V368143 = V211589 - 1. assign V140746 = V016171 + 1. assign V257902 = V139865 - 1. assign V626737 = V380145. assign V648555 = V244841 + 1. assign V728774 = V878862 - 1. assign V192080 = V725351. assign V252632 = V974555 + 1. assign V291302 = V064363. assign V098910 = V170896 - 1. assign V417478 = V900336 + 1. assign V178654 = V725351 - 1. assign V016171 = V384333. assign V922788 = V039266. assign V761911 = V715028. assign V931874 = V291302 + 1. assign V191915 = 4. assign V889286 = V257195. assign V031823 = V008148. assign V410450 = V216893 + 1. assign V850590 = V255196. assign V974555 = V643750 + 1. assign V571075 = V432100 + 1. assign V810641 = V141769 - 1. assign V808403 = V900936 + 1. assign V164476 = V927425 - 1. assign V046066 = V004664 + 1. assign V393814 = V679526 - 1. assign V177075 = V318016. assign V008148 = V643750. assign V139865 = V849453 + 1. assign V927425 = V539733 + 1. assign V448189 = V156201 - 1. assign V551640 = V062204. assign V919342 = V379885 - 1. assign V708433 = V919342 - 1. assign V802564 = V553374 + 1. assign V900336 = V523051 + 1. assign V950633 = V511732 - 1. assign V525556 = V523051 + 1. assign V218453 = V141769. assign V432100 = V889286 - 1. assign V039266 = V417478. assign V721868 = V062204 + 1. assign V037978 = V620926. assign V887582 = V849453 - 1. assign V553374 = V156201 - 1. assign V380491 = V211970 - 1. assign V861307 = V156201. assign V468078 = V649431 + 1. assign V448414 = V291302 - 1. assign V457196 = V643443. assign V866310 = V064363 - 1. assign V216571 = V180061 - 1. assign V081481 = V098910 - 1. assign V533844 = V639689 + 1. assign V211589 = V105819. assign V936107 = V783947 - 1. assign V947203 = V082865 - 1. assign V379885 = V084313 - 1. assign V141769 = V410450 - 1. assign V084313 = V082865 + 1. assign V170896 = V156201 - 1. assign V090247 = V062204. assign V718157 = V654341 - 1. assign V539256 = V216571 + 1. assign V849453 = V380145. assign V848028 = V931874 - 1. assign V486572 = V384333 + 1. assign V767775 = V082865 + 1. assign V167408 = V342703. assign V583103 = V643443 - 1. assign V206648 = V718261. assign V158586 = V511732 + 1. assign V802891 = V867586. assign V319279 = V448189 + 1. assign V064363 = V082865. assign V217401 = V950633 + 1. assign V601067 = V330274 - 1. assign V102815 = V721868 + 1. assign V179191 = V523051 - 1. assign V206251 = V140800. assign V363837 = V342703 - 1. assign V556220 = V140800. assign V539733 = V082865. assign V900936 = V643750 + 1. assign V072362 = V285246 + 1. assign V362752 = V461480. assign V694105 = V553374 + 1. assign V691554 = V384333 - 1. assign V244841 = V654762 - 1. assign V140800 = V158586 + 1. assign V764170 = V867586 + 1. assign V326589 = V721868 - 1. assign V216893 = V380145 - 1. assign V718261 = V533844. assign V066706 = V244841 - 1. assign V511732 = V533844 + 1. assign V185976 = V216893 - 1. assign V110718 = V850590 - 1. assign V382165 = V661427 + 1. assign V318016 = V432100. assign V523051 = V105819. assign V978791 = V431807 - 1. assign V867586 = V586922. assign V072636 = V988290 - 1. assign V722198 = V715028. assign V384333 = V234674. assign V643750 = V432100 + 1. assign V342703 = V900336 + 1. assign V255196 = V714970 + 1. assign V431807 = V216893. assign V245615 = V139865 - 1. assign V178503 = V008148 + 1. assign V234674 = V158586 - 1. assign V643443 = V931874. assign V105819 = V620926.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV191915 = 4;\n\nFrom these direct assignment(s), we have: \nV647972 = V191915 - 1 = 4 - 1 =3;\nNo other variables can be derived from V647972;\nNo other variables can be derived from V191915;\n\nNow we have done all the calculations. Derived variables are:\nV191915 = 4;\nV647972 = 3;\n\nNow we have finished this problem. ANSWER:\nV647972\n", "role": "assistant" } ]

[ "V665242", "V716977" ]

[ { "content": "<context>\nassign V846400 = V678551 + 1. assign V922456 = V909343 + 1. assign V191055 = V205963. assign V509588 = V521330 - 1. assign V276028 = V528813 - 1. assign V041418 = V735045. assign V463245 = V616267 + 1. assign V357842 = V848305 + 1. assign V286016 = V864362 - 1. assign V823883 = V756474. assign V336041 = V357842 + 1. assign V111817 = V205963 - 1. assign V815901 = V579653 - 1. assign V060913 = V629152. assign V070003 = V655918 + 1. assign V694572 = V965875. assign V528813 = V804962 - 1. assign V521330 = V804962. assign V197731 = V965875 + 1. assign V616267 = V855557 - 1. assign V407082 = V813369 + 1. assign V740815 = V164382 - 1. assign V716977 = V665242. assign V379331 = V804962 - 1. assign V393361 = V358965 + 1. assign V407172 = V646771. assign V756474 = V332378 + 1. assign V975547 = V731798 + 1. assign V405359 = V756474 - 1. assign V895369 = V678551. assign V222892 = V735045 - 1. assign V687469 = V560841 + 1. assign V441439 = V815006 - 1. assign V055018 = V043597 - 1. assign V377928 = V560277. assign V465859 = V678551. assign V358965 = V716883 - 1. assign V608432 = V823883 + 1. assign V244654 = V209917. assign V958736 = V777425. assign V993805 = V735045 - 1. assign V800055 = V377928 + 1. assign V298670 = V813369 - 1. assign V077311 = V407082 - 1. assign V973237 = V886134 + 1. assign V678551 = V191055 - 1. assign V783518 = V733549. assign V109891 = V432764 - 1. assign V852388 = V407172 + 1. assign V400999 = V813369 + 1. assign V809182 = V197731 - 1. assign V973623 = V377928 + 1. assign V646771 = V298670. assign V692032 = V554117. assign V509201 = V054267. assign V560277 = V735045. assign V735045 = V965875. assign V584507 = V423085 + 1. assign V560841 = V618283 + 1. assign V062853 = V222892 - 1. assign V394540 = V846400 - 1. assign V458288 = V694572 - 1. assign V886134 = V205963. assign V222020 = V914023 + 1. assign V777425 = V423085 + 1. assign V398079 = V111817 + 1. assign V467627 = V111817. assign V043597 = V735045. assign V413179 = V646771 - 1. assign V965875 = V205963 - 1. assign V783208 = V758231 - 1. assign V804962 = V332378 + 1. assign V731798 = V602918 + 1. assign V629152 = V646771 - 1. assign V579653 = V584507 + 1. assign V848305 = V458288. assign V784574 = V687469. assign V123318 = V000372 - 1. assign V672635 = V579653. assign V496732 = V028588 + 1. assign V967830 = V197731. assign V733549 = V401976. assign V266595 = V777425 - 1. assign V563891 = V733549 + 1. assign V465664 = V584275. assign V380687 = V413179. assign V761152 = V965875 - 1. assign V247240 = V864362. assign V553246 = V018426. assign V655918 = V548548 - 1. assign V407902 = V041418 + 1. assign V233494 = V435832. assign V332378 = V813369. assign V921183 = V813369 + 1. assign V204503 = V618283 + 1. assign V492188 = V962940 + 1. assign V716883 = V709009 + 1. assign V290747 = V432764. assign V411259 = V860844 - 1. assign V683182 = V962940 - 1. assign V698522 = V398079 + 1. assign V073666 = V521330 - 1. assign V810194 = V077311 - 1. assign V567931 = V584507 - 1. assign V841440 = V804962. assign V878650 = V637502 + 1. assign V604758 = V525403. assign V699077 = V376980. assign V007438 = V672635 - 1. assign V976809 = V111817 + 1. assign V928171 = V965875. assign V432764 = V393361 + 1. assign V244362 = V465859. assign V909343 = V062853 - 1. assign V152281 = V629152 - 1. assign V724123 = V191055. assign V037028 = V136413. assign V792874 = V646771 - 1. assign V207132 = V618283 + 1. assign V074584 = V965875 + 1. assign V172054 = V074584 - 1. assign V998029 = V222020 - 1. assign V018426 = V809182 - 1. assign V554117 = V400999 + 1. assign V438029 = V813369. assign V602918 = V637502 - 1. assign V136413 = V539608. assign V000372 = V912602 + 1. assign V215136 = V074584 - 1. assign V164382 = V467627 - 1. assign V670114 = V731798. assign V038146 = V062853. assign V054267 = V804962. assign V376980 = V694572 - 1. assign V864362 = V560277 - 1. assign V831254 = V608432 + 1. assign V815006 = V041418 + 1. assign V401976 = V554117 - 1. assign V230905 = V139550. assign V637502 = V921183 - 1. assign V912602 = V694572 + 1. assign V435832 = V407172. assign V860844 = V401976 + 1. assign V855557 = V041418 + 1. assign V285135 = V244362 + 1. assign V900598 = V687469. assign V126487 = V492188. assign V618283 = V646771 + 1. assign V785768 = V792874 - 1. assign V209917 = V735045 - 1. assign V914023 = V616267. assign V139550 = V435832 - 1. assign V813369 = V205963. assign V758231 = V792874. assign V028588 = V332378 - 1. assign V918720 = V618283 - 1. assign V584275 = V716883 + 1. assign V281244 = V423085. assign V962940 = V678551. assign V359558 = V909343 + 1. assign V423085 = V554117 - 1. assign V067883 = V509206 - 1. assign V320822 = V111817 - 1. assign V548548 = V205963 + 1. assign V709009 = V400999. assign V598430 = V629152 + 1. assign V017594 = V735045 + 1. assign V552621 = V909343. assign V539608 = V965875 + 1. assign V525403 = V191055. assign V665242 = 10. assign V509206 = V618283 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V846400 = V678551 + 1. assign V922456 = V909343 + 1. assign V191055 = V205963. assign V509588 = V521330 - 1. assign V276028 = V528813 - 1. assign V041418 = V735045. assign V463245 = V616267 + 1. assign V357842 = V848305 + 1. assign V286016 = V864362 - 1. assign V823883 = V756474. assign V336041 = V357842 + 1. assign V111817 = V205963 - 1. assign V815901 = V579653 - 1. assign V060913 = V629152. assign V070003 = V655918 + 1. assign V694572 = V965875. assign V528813 = V804962 - 1. assign V521330 = V804962. assign V197731 = V965875 + 1. assign V616267 = V855557 - 1. assign V407082 = V813369 + 1. assign V740815 = V164382 - 1. assign V716977 = V665242. assign V379331 = V804962 - 1. assign V393361 = V358965 + 1. assign V407172 = V646771. assign V756474 = V332378 + 1. assign V975547 = V731798 + 1. assign V405359 = V756474 - 1. assign V895369 = V678551. assign V222892 = V735045 - 1. assign V687469 = V560841 + 1. assign V441439 = V815006 - 1. assign V055018 = V043597 - 1. assign V377928 = V560277. assign V465859 = V678551. assign V358965 = V716883 - 1. assign V608432 = V823883 + 1. assign V244654 = V209917. assign V958736 = V777425. assign V993805 = V735045 - 1. assign V800055 = V377928 + 1. assign V298670 = V813369 - 1. assign V077311 = V407082 - 1. assign V973237 = V886134 + 1. assign V678551 = V191055 - 1. assign V783518 = V733549. assign V109891 = V432764 - 1. assign V852388 = V407172 + 1. assign V400999 = V813369 + 1. assign V809182 = V197731 - 1. assign V973623 = V377928 + 1. assign V646771 = V298670. assign V692032 = V554117. assign V509201 = V054267. assign V560277 = V735045. assign V735045 = V965875. assign V584507 = V423085 + 1. assign V560841 = V618283 + 1. assign V062853 = V222892 - 1. assign V394540 = V846400 - 1. assign V458288 = V694572 - 1. assign V886134 = V205963. assign V222020 = V914023 + 1. assign V777425 = V423085 + 1. assign V398079 = V111817 + 1. assign V467627 = V111817. assign V043597 = V735045. assign V413179 = V646771 - 1. assign V965875 = V205963 - 1. assign V783208 = V758231 - 1. assign V804962 = V332378 + 1. assign V731798 = V602918 + 1. assign V629152 = V646771 - 1. assign V579653 = V584507 + 1. assign V848305 = V458288. assign V784574 = V687469. assign V123318 = V000372 - 1. assign V672635 = V579653. assign V496732 = V028588 + 1. assign V967830 = V197731. assign V733549 = V401976. assign V266595 = V777425 - 1. assign V563891 = V733549 + 1. assign V465664 = V584275. assign V380687 = V413179. assign V761152 = V965875 - 1. assign V247240 = V864362. assign V553246 = V018426. assign V655918 = V548548 - 1. assign V407902 = V041418 + 1. assign V233494 = V435832. assign V332378 = V813369. assign V921183 = V813369 + 1. assign V204503 = V618283 + 1. assign V492188 = V962940 + 1. assign V716883 = V709009 + 1. assign V290747 = V432764. assign V411259 = V860844 - 1. assign V683182 = V962940 - 1. assign V698522 = V398079 + 1. assign V073666 = V521330 - 1. assign V810194 = V077311 - 1. assign V567931 = V584507 - 1. assign V841440 = V804962. assign V878650 = V637502 + 1. assign V604758 = V525403. assign V699077 = V376980. assign V007438 = V672635 - 1. assign V976809 = V111817 + 1. assign V928171 = V965875. assign V432764 = V393361 + 1. assign V244362 = V465859. assign V909343 = V062853 - 1. assign V152281 = V629152 - 1. assign V724123 = V191055. assign V037028 = V136413. assign V792874 = V646771 - 1. assign V207132 = V618283 + 1. assign V074584 = V965875 + 1. assign V172054 = V074584 - 1. assign V998029 = V222020 - 1. assign V018426 = V809182 - 1. assign V554117 = V400999 + 1. assign V438029 = V813369. assign V602918 = V637502 - 1. assign V136413 = V539608. assign V000372 = V912602 + 1. assign V215136 = V074584 - 1. assign V164382 = V467627 - 1. assign V670114 = V731798. assign V038146 = V062853. assign V054267 = V804962. assign V376980 = V694572 - 1. assign V864362 = V560277 - 1. assign V831254 = V608432 + 1. assign V815006 = V041418 + 1. assign V401976 = V554117 - 1. assign V230905 = V139550. assign V637502 = V921183 - 1. assign V912602 = V694572 + 1. assign V435832 = V407172. assign V860844 = V401976 + 1. assign V855557 = V041418 + 1. assign V285135 = V244362 + 1. assign V900598 = V687469. assign V126487 = V492188. assign V618283 = V646771 + 1. assign V785768 = V792874 - 1. assign V209917 = V735045 - 1. assign V914023 = V616267. assign V139550 = V435832 - 1. assign V813369 = V205963. assign V758231 = V792874. assign V028588 = V332378 - 1. assign V918720 = V618283 - 1. assign V584275 = V716883 + 1. assign V281244 = V423085. assign V962940 = V678551. assign V359558 = V909343 + 1. assign V423085 = V554117 - 1. assign V067883 = V509206 - 1. assign V320822 = V111817 - 1. assign V548548 = V205963 + 1. assign V709009 = V400999. assign V598430 = V629152 + 1. assign V017594 = V735045 + 1. assign V552621 = V909343. assign V539608 = V965875 + 1. assign V525403 = V191055. assign V665242 = 10. assign V509206 = V618283 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV665242 = 10;\n\nFrom these direct assignment(s), we have: \nV716977 = V665242 = 10;\nNo other variables can be derived from V716977;\nNo other variables can be derived from V665242;\n\nNow we have done all the calculations. Derived variables are:\nV665242 = 10;\nV716977 = 10;\n\nNow we have finished this problem. ANSWER:\nV665242, V716977\n", "role": "assistant" } ]

[ "V205738" ]

[ { "content": "<context>\nassign V013554 = V316690 - 1. assign V269528 = V944187. assign V024686 = V884215. assign V090020 = V672982 - 1. assign V583096 = V884215. assign V670590 = V818986 + 1. assign V181917 = V527193. assign V725393 = V230095 - 1. assign V949158 = V431056 + 1. assign V627737 = V561010 + 1. assign V612934 = V023956 - 1. assign V225247 = V949158 - 1. assign V527193 = V105281 + 1. assign V069582 = V520231 - 1. assign V985749 = V624531 - 1. assign V599025 = V788844 + 1. assign V376355 = V797047. assign V230715 = V308708 - 1. assign V644522 = V213636. assign V212960 = V254334. assign V628686 = V105281 + 1. assign V163609 = V520231 + 1. assign V397889 = V758312 - 1. assign V280463 = V316690 + 1. assign V758312 = V214294 + 1. assign V672982 = V934218 - 1. assign V596133 = V433949 - 1. assign V944187 = V986134 - 1. assign V140087 = V845546 + 1. assign V797979 = V464103 - 1. assign V309897 = V140085. assign V922361 = V944187 - 1. assign V561010 = V544178 - 1. assign V934141 = V520231 + 1. assign V155763 = V527193 - 1. assign V788844 = V024686 + 1. assign V934218 = V401684 - 1. assign V295142 = V624531. assign V834392 = V526450. assign V701885 = V672982. assign V916303 = V401684 + 1. assign V099538 = V323991 - 1. assign V612128 = V986134 + 1. assign V213636 = V797047 - 1. assign V214294 = V142968 + 1. assign V687939 = V323991 - 1. assign V316690 = V382638 - 1. assign V006879 = V612934 - 1. assign V375492 = V814861. assign V860638 = V932752 + 1. assign V043699 = V583096 - 1. assign V181800 = V583096 + 1. assign V779091 = V944187. assign V889427 = V009985 - 1. assign V544178 = V023956 + 1. assign V296270 = V624531 - 1. assign V884215 = V189931 - 1. assign V819241 = V654627 - 1. assign V932752 = V703215 - 1. assign V646023 = V397889 + 1. assign V122060 = V142968. assign V431056 = V797047 - 1. assign V448740 = V221612 - 1. assign V233399 = V179656. assign V780528 = V845546. assign V969635 = V814861 + 1. assign V189931 = V520231 - 1. assign V395485 = V596133. assign V815532 = V520231 - 1. assign V703215 = V234769 - 1. assign V736112 = V561010 - 1. assign V178453 = V230715. assign V243693 = V985749 - 1. assign V382638 = V624531 + 1. assign V585392 = V290840 - 1. assign V805907 = V644522. assign V818986 = V043699 + 1. assign V072430 = V520231. assign V087286 = V163609 + 1. assign V401684 = V985749. assign V164208 = V382638 - 1. assign V520231 = V624531. assign V331401 = V179656 - 1. assign V986134 = V173159 + 1. assign V741933 = V290840 - 1. assign V670855 = V254334 - 1. assign V805904 = V213636. assign V843455 = V243693. assign V873413 = V296270. assign V047775 = V013554 - 1. assign V488018 = V708498 + 1. assign V667126 = V884215 - 1. assign V412401 = V205738 - 1. assign V589074 = V940768. assign V777319 = V230095. assign V476639 = V243693 - 1. assign V826973 = V230095 - 1. assign V337062 = V805907 + 1. assign V323910 = V881289. assign V165458 = V843455. assign V029123 = V758312 - 1. assign V179656 = V934218 + 1. assign V949193 = V024686. assign V158659 = V316690. assign V490243 = V845546 + 1. assign V646898 = V009985 + 1. assign V069161 = V060109. assign V433949 = V189931 + 1. assign V899201 = V526450 + 1. assign V009985 = V667126. assign V278895 = V898105 - 1. assign V526450 = V382638 - 1. assign V546830 = V986134 + 1. assign V898105 = V375492. assign V187530 = V120722 + 1. assign V221612 = V845546. assign V274007 = V520231 - 1. assign V324802 = V006879. assign V899179 = V821817 - 1. assign V821817 = V561010 + 1. assign V203294 = V940768. assign V140085 = V375492. assign V794885 = V155763. assign V120722 = V401684 - 1. assign V722094 = V069273. assign V654501 = V142968 + 1. assign V069273 = V331401. assign V666086 = V024686 - 1. assign V814581 = V243693. assign V464103 = V087286 + 1. assign V308708 = V985749. assign V644511 = V316690 + 1. assign V429644 = V922361 + 1. assign V323991 = V701885 + 1. assign V974131 = V221612 - 1. assign V168565 = V666086. assign V810559 = V024686 + 1. assign V023956 = V985749 + 1. assign V654627 = V189931 - 1. assign V881289 = V295142 + 1. assign V254334 = V158659 + 1. assign V142968 = V140085. assign V131910 = V884215. assign V230095 = V520231. assign V060109 = V701885. assign V290840 = V985749 + 1. assign V197750 = V230095 - 1. assign V173159 = V230095. assign V472332 = V140085. assign V548608 = V889427 - 1. assign V797047 = V433949 + 1. assign V234769 = V630263 + 1. assign V316119 = V203294. assign V290205 = V323991 - 1. assign V688783 = V087286. assign V283330 = V140085 - 1. assign V205738 = 1. assign V211919 = V090020. assign V613506 = V949158. assign V922471 = V949158 + 1. assign V488552 = V308708 - 1. assign V452181 = V179656 + 1. assign V105281 = V179656 - 1. assign V586482 = V221612. assign V940768 = V520231 - 1. assign V630263 = V779091. assign V300436 = V585392. assign V208281 = V069161 + 1. assign V814861 = V433949. assign V708498 = V254334 - 1. assign V796528 = V043699 - 1. assign V845546 = V043699.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V013554 = V316690 - 1. assign V269528 = V944187. assign V024686 = V884215. assign V090020 = V672982 - 1. assign V583096 = V884215. assign V670590 = V818986 + 1. assign V181917 = V527193. assign V725393 = V230095 - 1. assign V949158 = V431056 + 1. assign V627737 = V561010 + 1. assign V612934 = V023956 - 1. assign V225247 = V949158 - 1. assign V527193 = V105281 + 1. assign V069582 = V520231 - 1. assign V985749 = V624531 - 1. assign V599025 = V788844 + 1. assign V376355 = V797047. assign V230715 = V308708 - 1. assign V644522 = V213636. assign V212960 = V254334. assign V628686 = V105281 + 1. assign V163609 = V520231 + 1. assign V397889 = V758312 - 1. assign V280463 = V316690 + 1. assign V758312 = V214294 + 1. assign V672982 = V934218 - 1. assign V596133 = V433949 - 1. assign V944187 = V986134 - 1. assign V140087 = V845546 + 1. assign V797979 = V464103 - 1. assign V309897 = V140085. assign V922361 = V944187 - 1. assign V561010 = V544178 - 1. assign V934141 = V520231 + 1. assign V155763 = V527193 - 1. assign V788844 = V024686 + 1. assign V934218 = V401684 - 1. assign V295142 = V624531. assign V834392 = V526450. assign V701885 = V672982. assign V916303 = V401684 + 1. assign V099538 = V323991 - 1. assign V612128 = V986134 + 1. assign V213636 = V797047 - 1. assign V214294 = V142968 + 1. assign V687939 = V323991 - 1. assign V316690 = V382638 - 1. assign V006879 = V612934 - 1. assign V375492 = V814861. assign V860638 = V932752 + 1. assign V043699 = V583096 - 1. assign V181800 = V583096 + 1. assign V779091 = V944187. assign V889427 = V009985 - 1. assign V544178 = V023956 + 1. assign V296270 = V624531 - 1. assign V884215 = V189931 - 1. assign V819241 = V654627 - 1. assign V932752 = V703215 - 1. assign V646023 = V397889 + 1. assign V122060 = V142968. assign V431056 = V797047 - 1. assign V448740 = V221612 - 1. assign V233399 = V179656. assign V780528 = V845546. assign V969635 = V814861 + 1. assign V189931 = V520231 - 1. assign V395485 = V596133. assign V815532 = V520231 - 1. assign V703215 = V234769 - 1. assign V736112 = V561010 - 1. assign V178453 = V230715. assign V243693 = V985749 - 1. assign V382638 = V624531 + 1. assign V585392 = V290840 - 1. assign V805907 = V644522. assign V818986 = V043699 + 1. assign V072430 = V520231. assign V087286 = V163609 + 1. assign V401684 = V985749. assign V164208 = V382638 - 1. assign V520231 = V624531. assign V331401 = V179656 - 1. assign V986134 = V173159 + 1. assign V741933 = V290840 - 1. assign V670855 = V254334 - 1. assign V805904 = V213636. assign V843455 = V243693. assign V873413 = V296270. assign V047775 = V013554 - 1. assign V488018 = V708498 + 1. assign V667126 = V884215 - 1. assign V412401 = V205738 - 1. assign V589074 = V940768. assign V777319 = V230095. assign V476639 = V243693 - 1. assign V826973 = V230095 - 1. assign V337062 = V805907 + 1. assign V323910 = V881289. assign V165458 = V843455. assign V029123 = V758312 - 1. assign V179656 = V934218 + 1. assign V949193 = V024686. assign V158659 = V316690. assign V490243 = V845546 + 1. assign V646898 = V009985 + 1. assign V069161 = V060109. assign V433949 = V189931 + 1. assign V899201 = V526450 + 1. assign V009985 = V667126. assign V278895 = V898105 - 1. assign V526450 = V382638 - 1. assign V546830 = V986134 + 1. assign V898105 = V375492. assign V187530 = V120722 + 1. assign V221612 = V845546. assign V274007 = V520231 - 1. assign V324802 = V006879. assign V899179 = V821817 - 1. assign V821817 = V561010 + 1. assign V203294 = V940768. assign V140085 = V375492. assign V794885 = V155763. assign V120722 = V401684 - 1. assign V722094 = V069273. assign V654501 = V142968 + 1. assign V069273 = V331401. assign V666086 = V024686 - 1. assign V814581 = V243693. assign V464103 = V087286 + 1. assign V308708 = V985749. assign V644511 = V316690 + 1. assign V429644 = V922361 + 1. assign V323991 = V701885 + 1. assign V974131 = V221612 - 1. assign V168565 = V666086. assign V810559 = V024686 + 1. assign V023956 = V985749 + 1. assign V654627 = V189931 - 1. assign V881289 = V295142 + 1. assign V254334 = V158659 + 1. assign V142968 = V140085. assign V131910 = V884215. assign V230095 = V520231. assign V060109 = V701885. assign V290840 = V985749 + 1. assign V197750 = V230095 - 1. assign V173159 = V230095. assign V472332 = V140085. assign V548608 = V889427 - 1. assign V797047 = V433949 + 1. assign V234769 = V630263 + 1. assign V316119 = V203294. assign V290205 = V323991 - 1. assign V688783 = V087286. assign V283330 = V140085 - 1. assign V205738 = 1. assign V211919 = V090020. assign V613506 = V949158. assign V922471 = V949158 + 1. assign V488552 = V308708 - 1. assign V452181 = V179656 + 1. assign V105281 = V179656 - 1. assign V586482 = V221612. assign V940768 = V520231 - 1. assign V630263 = V779091. assign V300436 = V585392. assign V208281 = V069161 + 1. assign V814861 = V433949. assign V708498 = V254334 - 1. assign V796528 = V043699 - 1. assign V845546 = V043699.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV205738 = 1;\n\nFrom these direct assignment(s), we have: \nV412401 = V205738 - 1 = 1 - 1 =0;\nNo other variables can be derived from V412401;\nNo other variables can be derived from V205738;\n\nNow we have done all the calculations. Derived variables are:\nV205738 = 1;\nV412401 = 0;\n\nNow we have finished this problem. ANSWER:\nV205738\n", "role": "assistant" } ]

[ "V706613" ]

[ { "content": "<context>\nassign V269597 = V320812 - 1. assign V050358 = V716257 + 1. assign V783952 = V804866 + 1. assign V102937 = V438231 + 1. assign V024887 = V656538 + 1. assign V416476 = V558181 - 1. assign V322885 = V467610 - 1. assign V835193 = V301892 + 1. assign V886746 = V322885. assign V015189 = V911557 - 1. assign V956609 = V338882. assign V097448 = V667426. assign V207293 = V471584 - 1. assign V480821 = V890704 - 1. assign V926304 = V705216 - 1. assign V217291 = V558181 - 1. assign V800024 = V275434 + 1. assign V599394 = V015033 - 1. assign V517135 = V968447 - 1. assign V690294 = V706486 + 1. assign V642689 = V112044. assign V438231 = V545587. assign V467610 = V558181. assign V173090 = V217291. assign V706613 = V890171 - 1. assign V956917 = V755168 + 1. assign V031891 = V911557 - 1. assign V533877 = V607964 - 1. assign V311059 = V194636. assign V535022 = V545587 - 1. assign V540800 = V633627 + 1. assign V969244 = V706486 - 1. assign V504280 = V978473 + 1. assign V656538 = V558181 + 1. assign V039419 = V770278. assign V999068 = V558181. assign V533892 = V362275. assign V326414 = V452119 - 1. assign V330047 = V716257 - 1. assign V046930 = V362275 - 1. assign V545587 = V835802 + 1. assign V729923 = V372296 + 1. assign V538892 = V719666 - 1. assign V886742 = V427440. assign V599126 = V328309. assign V722268 = V647884. assign V194636 = V899823. assign V705216 = V890704 - 1. assign V925253 = V804866 + 1. assign V890171 = 5. assign V647884 = V656538 - 1. assign V911557 = V329724. assign V968447 = V095283 + 1. assign V597807 = V820848. assign V801470 = V667426. assign V673095 = V804866 - 1. assign V154529 = V504280 + 1. assign V095283 = V467610. assign V554974 = V248531 - 1. assign V840079 = V770278. assign V065486 = V963449 + 1. assign V179186 = V890704 - 1. assign V943940 = V719666 - 1. assign V378106 = V362275. assign V294893 = V935000. assign V345272 = V475663 - 1. assign V558181 = V835802 - 1. assign V189637 = V248531 + 1. assign V456435 = V248531 + 1. assign V898150 = V275434. assign V719666 = V416476. assign V537323 = V858918 + 1. assign V374587 = V656538 + 1. assign V531512 = V596437. assign V607964 = V301892 + 1. assign V656436 = V770278 - 1. assign V113504 = V001770 + 1. assign V990177 = V319811. assign V637582 = V667426. assign V667426 = V248531 - 1. assign V319811 = V438231 - 1. assign V289219 = V972882 + 1. assign V820848 = V362275. assign V804866 = V456435 - 1. assign V278249 = V502589. assign V914870 = V374587. assign V372296 = V865852. assign V858918 = V656538 + 1. assign V978473 = V835802. assign V137085 = V706486 + 1. assign V709667 = V504280 + 1. assign V716257 = V015033 - 1. assign V486911 = V489314 - 1. assign V330023 = V471584 + 1. assign V770278 = V502589 + 1. assign V147015 = V338882 - 1. assign V505030 = V535022 - 1. assign V795135 = V865852. assign V320812 = V456435. assign V908848 = V709667 - 1. assign V297809 = V240524. assign V149796 = V911557 + 1. assign V645281 = V179186 + 1. assign V870883 = V504280 + 1. assign V452119 = V978473. assign V716075 = V963449 - 1. assign V489314 = V990177 - 1. assign V248531 = V835802 - 1. assign V673802 = V194636 - 1. assign V301892 = V545587 + 1. assign V119577 = V060201. assign V982113 = V194636 + 1. assign V362275 = V656538. assign V275434 = V692287 + 1. assign V280631 = V815580 + 1. assign V727210 = V489314 + 1. assign V935000 = V717125 + 1. assign V475663 = V489314 - 1. assign V240524 = V716257 + 1. assign V074746 = V803983. assign V663605 = V706486 - 1. assign V963449 = V835802. assign V328309 = V667426 - 1. assign V717125 = V102862. assign V542947 = V504280 - 1. assign V646826 = V046930 - 1. assign V471584 = V667426 - 1. assign V040248 = V835802 - 1. assign V972882 = V558181 + 1. assign V596437 = V667426 + 1. assign V436842 = V607964 + 1. assign V409422 = V646826 + 1. assign V989865 = V599126 - 1. assign V329724 = V835193. assign V502589 = V330023 - 1. assign V706486 = V692287 - 1. assign V865852 = V667426. assign V512464 = V783952. assign V152039 = V527536. assign V542434 = V573452. assign V692287 = V102862 + 1. assign V053002 = V870883. assign V112044 = V607964 - 1. assign V862317 = V480821 - 1. assign V864765 = V801470 + 1. assign V783063 = V546377 - 1. assign V546377 = V943940 - 1. assign V011393 = V046930 - 1. assign V828298 = V558556 - 1. assign V815689 = V692287. assign V633627 = V646826. assign V558556 = V804866. assign V113207 = V667426 + 1. assign V526669 = V330023 + 1. assign V803983 = V692287. assign V890704 = V095283 - 1. assign V212660 = V294893 - 1. assign V642471 = V865852 - 1. assign V573452 = V212660 + 1. assign V338882 = V471584. assign V229295 = V053002 - 1. assign V001770 = V467610 - 1. assign V060201 = V865852 - 1. assign V692120 = V328309 - 1. assign V899823 = V558181. assign V427440 = V289219 + 1. assign V815580 = V637582 + 1. assign V527536 = V452119. assign V718260 = V815689 - 1. assign V015033 = V978473. assign V102862 = V416476 + 1. assign V755168 = V338882.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V269597 = V320812 - 1. assign V050358 = V716257 + 1. assign V783952 = V804866 + 1. assign V102937 = V438231 + 1. assign V024887 = V656538 + 1. assign V416476 = V558181 - 1. assign V322885 = V467610 - 1. assign V835193 = V301892 + 1. assign V886746 = V322885. assign V015189 = V911557 - 1. assign V956609 = V338882. assign V097448 = V667426. assign V207293 = V471584 - 1. assign V480821 = V890704 - 1. assign V926304 = V705216 - 1. assign V217291 = V558181 - 1. assign V800024 = V275434 + 1. assign V599394 = V015033 - 1. assign V517135 = V968447 - 1. assign V690294 = V706486 + 1. assign V642689 = V112044. assign V438231 = V545587. assign V467610 = V558181. assign V173090 = V217291. assign V706613 = V890171 - 1. assign V956917 = V755168 + 1. assign V031891 = V911557 - 1. assign V533877 = V607964 - 1. assign V311059 = V194636. assign V535022 = V545587 - 1. assign V540800 = V633627 + 1. assign V969244 = V706486 - 1. assign V504280 = V978473 + 1. assign V656538 = V558181 + 1. assign V039419 = V770278. assign V999068 = V558181. assign V533892 = V362275. assign V326414 = V452119 - 1. assign V330047 = V716257 - 1. assign V046930 = V362275 - 1. assign V545587 = V835802 + 1. assign V729923 = V372296 + 1. assign V538892 = V719666 - 1. assign V886742 = V427440. assign V599126 = V328309. assign V722268 = V647884. assign V194636 = V899823. assign V705216 = V890704 - 1. assign V925253 = V804866 + 1. assign V890171 = 5. assign V647884 = V656538 - 1. assign V911557 = V329724. assign V968447 = V095283 + 1. assign V597807 = V820848. assign V801470 = V667426. assign V673095 = V804866 - 1. assign V154529 = V504280 + 1. assign V095283 = V467610. assign V554974 = V248531 - 1. assign V840079 = V770278. assign V065486 = V963449 + 1. assign V179186 = V890704 - 1. assign V943940 = V719666 - 1. assign V378106 = V362275. assign V294893 = V935000. assign V345272 = V475663 - 1. assign V558181 = V835802 - 1. assign V189637 = V248531 + 1. assign V456435 = V248531 + 1. assign V898150 = V275434. assign V719666 = V416476. assign V537323 = V858918 + 1. assign V374587 = V656538 + 1. assign V531512 = V596437. assign V607964 = V301892 + 1. assign V656436 = V770278 - 1. assign V113504 = V001770 + 1. assign V990177 = V319811. assign V637582 = V667426. assign V667426 = V248531 - 1. assign V319811 = V438231 - 1. assign V289219 = V972882 + 1. assign V820848 = V362275. assign V804866 = V456435 - 1. assign V278249 = V502589. assign V914870 = V374587. assign V372296 = V865852. assign V858918 = V656538 + 1. assign V978473 = V835802. assign V137085 = V706486 + 1. assign V709667 = V504280 + 1. assign V716257 = V015033 - 1. assign V486911 = V489314 - 1. assign V330023 = V471584 + 1. assign V770278 = V502589 + 1. assign V147015 = V338882 - 1. assign V505030 = V535022 - 1. assign V795135 = V865852. assign V320812 = V456435. assign V908848 = V709667 - 1. assign V297809 = V240524. assign V149796 = V911557 + 1. assign V645281 = V179186 + 1. assign V870883 = V504280 + 1. assign V452119 = V978473. assign V716075 = V963449 - 1. assign V489314 = V990177 - 1. assign V248531 = V835802 - 1. assign V673802 = V194636 - 1. assign V301892 = V545587 + 1. assign V119577 = V060201. assign V982113 = V194636 + 1. assign V362275 = V656538. assign V275434 = V692287 + 1. assign V280631 = V815580 + 1. assign V727210 = V489314 + 1. assign V935000 = V717125 + 1. assign V475663 = V489314 - 1. assign V240524 = V716257 + 1. assign V074746 = V803983. assign V663605 = V706486 - 1. assign V963449 = V835802. assign V328309 = V667426 - 1. assign V717125 = V102862. assign V542947 = V504280 - 1. assign V646826 = V046930 - 1. assign V471584 = V667426 - 1. assign V040248 = V835802 - 1. assign V972882 = V558181 + 1. assign V596437 = V667426 + 1. assign V436842 = V607964 + 1. assign V409422 = V646826 + 1. assign V989865 = V599126 - 1. assign V329724 = V835193. assign V502589 = V330023 - 1. assign V706486 = V692287 - 1. assign V865852 = V667426. assign V512464 = V783952. assign V152039 = V527536. assign V542434 = V573452. assign V692287 = V102862 + 1. assign V053002 = V870883. assign V112044 = V607964 - 1. assign V862317 = V480821 - 1. assign V864765 = V801470 + 1. assign V783063 = V546377 - 1. assign V546377 = V943940 - 1. assign V011393 = V046930 - 1. assign V828298 = V558556 - 1. assign V815689 = V692287. assign V633627 = V646826. assign V558556 = V804866. assign V113207 = V667426 + 1. assign V526669 = V330023 + 1. assign V803983 = V692287. assign V890704 = V095283 - 1. assign V212660 = V294893 - 1. assign V642471 = V865852 - 1. assign V573452 = V212660 + 1. assign V338882 = V471584. assign V229295 = V053002 - 1. assign V001770 = V467610 - 1. assign V060201 = V865852 - 1. assign V692120 = V328309 - 1. assign V899823 = V558181. assign V427440 = V289219 + 1. assign V815580 = V637582 + 1. assign V527536 = V452119. assign V718260 = V815689 - 1. assign V015033 = V978473. assign V102862 = V416476 + 1. assign V755168 = V338882.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV890171 = 5;\n\nFrom these direct assignment(s), we have: \nV706613 = V890171 - 1 = 5 - 1 =4;\nNo other variables can be derived from V706613;\nNo other variables can be derived from V890171;\n\nNow we have done all the calculations. Derived variables are:\nV890171 = 5;\nV706613 = 4;\n\nNow we have finished this problem. ANSWER:\nV706613\n", "role": "assistant" } ]

[ "V827765" ]

[ { "content": "<context>\nassign V962198 = V468680 - 1. assign V699809 = V064513 - 1. assign V927118 = V966612 + 1. assign V494983 = V209483 + 1. assign V032961 = V815433. assign V827765 = 5. assign V941505 = V864067. assign V551399 = V543561. assign V874543 = V123957. assign V924208 = V032961. assign V997885 = V862504 - 1. assign V458442 = V604601 - 1. assign V200619 = V992944 + 1. assign V315274 = V860615 + 1. assign V854191 = V341723. assign V572507 = V918788 - 1. assign V420937 = V044748 + 1. assign V472205 = V209483. assign V956997 = V222011 - 1. assign V125684 = V654859 - 1. assign V158330 = V831147. assign V864067 = V756753 + 1. assign V671854 = V551399. assign V580221 = V044748 - 1. assign V528166 = V992944 - 1. assign V461013 = V837841. assign V723941 = V282940 - 1. assign V976330 = V449573 + 1. assign V311914 = V757905 + 1. assign V108490 = V567927 - 1. assign V865932 = V723941 + 1. assign V468680 = V723941. assign V837841 = V468680 + 1. assign V815433 = V543561 + 1. assign V413153 = V551399 - 1. assign V367872 = V032961. assign V390235 = V547819. assign V918788 = V956997. assign V321513 = V723941 + 1. assign V388102 = V457950 - 1. assign V513118 = V311892 + 1. assign V123957 = V863814 - 1. assign V600324 = V378256 - 1. assign V780120 = V008887 + 1. assign V532250 = V461366 + 1. assign V860615 = V654859. assign V005517 = V918788 - 1. assign V184786 = V064513 - 1. assign V380009 = V158330 - 1. assign V633335 = V981776 - 1. assign V848923 = V551399 + 1. assign V360468 = V200696. assign V604601 = V039333 - 1. assign V851979 = V757905. assign V048182 = V780120 - 1. assign V788672 = V200696 - 1. assign V543561 = V956997. assign V689871 = V802164. assign V654859 = V237663. assign V915212 = V532250 - 1. assign V352095 = V780120. assign V279064 = V713087 - 1. assign V992944 = V147659 + 1. assign V662457 = V723941 + 1. assign V112283 = V815433 - 1. assign V457950 = V222011 - 1. assign V713920 = V827765 - 1. assign V639290 = V112283 + 1. assign V008887 = V200619 - 1. assign V561129 = V802164. assign V477562 = V541828. assign V587359 = V420937 + 1. assign V180942 = V321513. assign V973123 = V477562 - 1. assign V617557 = V237663 - 1. assign V670082 = V662457. assign V195303 = V209483. assign V341723 = V918788 + 1. assign V044748 = V577910 + 1. assign V644289 = V577910 + 1. assign V713087 = V929730 - 1. assign V155033 = V032961 + 1. assign V824026 = V123957 - 1. assign V464608 = V106912 - 1. assign V461366 = V561129 + 1. assign V300959 = V654859 - 1. assign V497945 = V147659. assign V502634 = V457950 + 1. assign V839130 = V633335 - 1. assign V209483 = V529022 - 1. assign V225362 = V420937. assign V222011 = V237663. assign V734374 = V155033 + 1. assign V863814 = V551399. assign V802164 = V147659 + 1. assign V567927 = V253113. assign V479439 = V300959. assign V039333 = V802164 - 1. assign V439483 = V461366. assign V689445 = V815433. assign V680594 = V641363 - 1. assign V966612 = V699809 + 1. assign V184756 = V282940 + 1. assign V981776 = V713087 + 1. assign V747144 = V055762 - 1. assign V064513 = V541828. assign V253113 = V831147 + 1. assign V378256 = V567927 - 1. assign V565528 = V461366 + 1. assign V547819 = V125684 - 1. assign V049989 = V200619. assign V209447 = V577910 + 1. assign V449573 = V341723 - 1. assign V627266 = V824026 + 1. assign V472940 = V147659 + 1. assign V245702 = V864067 + 1. assign V775727 = V115520 - 1. assign V440453 = V039333. assign V831147 = V627266 - 1. assign V547621 = V541828. assign V793936 = V032961. assign V904962 = V918788. assign V255086 = V780120. assign V641363 = V992944. assign V131278 = V918788 + 1. assign V147659 = V654859. assign V544194 = V502634 - 1. assign V623063 = V044748. assign V632596 = V551399. assign V303867 = V046201. assign V200696 = V627266 - 1. assign V545399 = V903440 - 1. assign V929730 = V723941. assign V740830 = V222011 + 1. assign V826824 = V654859. assign V046201 = V502634 - 1. assign V347778 = V577910 - 1. assign V577910 = V200619. assign V803911 = V049989 + 1. assign V282940 = V802164 - 1. assign V423501 = V547819 + 1. assign V289053 = V502634 + 1. assign V756753 = V547621 - 1. assign V495419 = V184756. assign V458821 = V956997 + 1. assign V397019 = V551399 + 1. assign V037504 = V623063 - 1. assign V311892 = V461366 - 1. assign V187972 = V048182 + 1. assign V055762 = V282940. assign V153956 = V654859. assign V707262 = V863814 + 1. assign V862504 = V617557. assign V283397 = V689445 + 1. assign V529022 = V617557 - 1. assign V042220 = V707262. assign V115520 = V723941 + 1. assign V448732 = V587359 + 1. assign V699803 = V670082. assign V144973 = V289053 + 1. assign V371144 = V627266 + 1. assign V541828 = V802164 + 1. assign V168951 = V824026 + 1. assign V589895 = V680594 - 1. assign V592050 = V209447. assign V757905 = V713087 + 1. assign V767509 = V547621 + 1. assign V556342 = V112283 + 1. assign V903440 = V168951. assign V470569 = V551399 - 1. assign V927222 = V966612 - 1. assign V106912 = V860615.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V962198 = V468680 - 1. assign V699809 = V064513 - 1. assign V927118 = V966612 + 1. assign V494983 = V209483 + 1. assign V032961 = V815433. assign V827765 = 5. assign V941505 = V864067. assign V551399 = V543561. assign V874543 = V123957. assign V924208 = V032961. assign V997885 = V862504 - 1. assign V458442 = V604601 - 1. assign V200619 = V992944 + 1. assign V315274 = V860615 + 1. assign V854191 = V341723. assign V572507 = V918788 - 1. assign V420937 = V044748 + 1. assign V472205 = V209483. assign V956997 = V222011 - 1. assign V125684 = V654859 - 1. assign V158330 = V831147. assign V864067 = V756753 + 1. assign V671854 = V551399. assign V580221 = V044748 - 1. assign V528166 = V992944 - 1. assign V461013 = V837841. assign V723941 = V282940 - 1. assign V976330 = V449573 + 1. assign V311914 = V757905 + 1. assign V108490 = V567927 - 1. assign V865932 = V723941 + 1. assign V468680 = V723941. assign V837841 = V468680 + 1. assign V815433 = V543561 + 1. assign V413153 = V551399 - 1. assign V367872 = V032961. assign V390235 = V547819. assign V918788 = V956997. assign V321513 = V723941 + 1. assign V388102 = V457950 - 1. assign V513118 = V311892 + 1. assign V123957 = V863814 - 1. assign V600324 = V378256 - 1. assign V780120 = V008887 + 1. assign V532250 = V461366 + 1. assign V860615 = V654859. assign V005517 = V918788 - 1. assign V184786 = V064513 - 1. assign V380009 = V158330 - 1. assign V633335 = V981776 - 1. assign V848923 = V551399 + 1. assign V360468 = V200696. assign V604601 = V039333 - 1. assign V851979 = V757905. assign V048182 = V780120 - 1. assign V788672 = V200696 - 1. assign V543561 = V956997. assign V689871 = V802164. assign V654859 = V237663. assign V915212 = V532250 - 1. assign V352095 = V780120. assign V279064 = V713087 - 1. assign V992944 = V147659 + 1. assign V662457 = V723941 + 1. assign V112283 = V815433 - 1. assign V457950 = V222011 - 1. assign V713920 = V827765 - 1. assign V639290 = V112283 + 1. assign V008887 = V200619 - 1. assign V561129 = V802164. assign V477562 = V541828. assign V587359 = V420937 + 1. assign V180942 = V321513. assign V973123 = V477562 - 1. assign V617557 = V237663 - 1. assign V670082 = V662457. assign V195303 = V209483. assign V341723 = V918788 + 1. assign V044748 = V577910 + 1. assign V644289 = V577910 + 1. assign V713087 = V929730 - 1. assign V155033 = V032961 + 1. assign V824026 = V123957 - 1. assign V464608 = V106912 - 1. assign V461366 = V561129 + 1. assign V300959 = V654859 - 1. assign V497945 = V147659. assign V502634 = V457950 + 1. assign V839130 = V633335 - 1. assign V209483 = V529022 - 1. assign V225362 = V420937. assign V222011 = V237663. assign V734374 = V155033 + 1. assign V863814 = V551399. assign V802164 = V147659 + 1. assign V567927 = V253113. assign V479439 = V300959. assign V039333 = V802164 - 1. assign V439483 = V461366. assign V689445 = V815433. assign V680594 = V641363 - 1. assign V966612 = V699809 + 1. assign V184756 = V282940 + 1. assign V981776 = V713087 + 1. assign V747144 = V055762 - 1. assign V064513 = V541828. assign V253113 = V831147 + 1. assign V378256 = V567927 - 1. assign V565528 = V461366 + 1. assign V547819 = V125684 - 1. assign V049989 = V200619. assign V209447 = V577910 + 1. assign V449573 = V341723 - 1. assign V627266 = V824026 + 1. assign V472940 = V147659 + 1. assign V245702 = V864067 + 1. assign V775727 = V115520 - 1. assign V440453 = V039333. assign V831147 = V627266 - 1. assign V547621 = V541828. assign V793936 = V032961. assign V904962 = V918788. assign V255086 = V780120. assign V641363 = V992944. assign V131278 = V918788 + 1. assign V147659 = V654859. assign V544194 = V502634 - 1. assign V623063 = V044748. assign V632596 = V551399. assign V303867 = V046201. assign V200696 = V627266 - 1. assign V545399 = V903440 - 1. assign V929730 = V723941. assign V740830 = V222011 + 1. assign V826824 = V654859. assign V046201 = V502634 - 1. assign V347778 = V577910 - 1. assign V577910 = V200619. assign V803911 = V049989 + 1. assign V282940 = V802164 - 1. assign V423501 = V547819 + 1. assign V289053 = V502634 + 1. assign V756753 = V547621 - 1. assign V495419 = V184756. assign V458821 = V956997 + 1. assign V397019 = V551399 + 1. assign V037504 = V623063 - 1. assign V311892 = V461366 - 1. assign V187972 = V048182 + 1. assign V055762 = V282940. assign V153956 = V654859. assign V707262 = V863814 + 1. assign V862504 = V617557. assign V283397 = V689445 + 1. assign V529022 = V617557 - 1. assign V042220 = V707262. assign V115520 = V723941 + 1. assign V448732 = V587359 + 1. assign V699803 = V670082. assign V144973 = V289053 + 1. assign V371144 = V627266 + 1. assign V541828 = V802164 + 1. assign V168951 = V824026 + 1. assign V589895 = V680594 - 1. assign V592050 = V209447. assign V757905 = V713087 + 1. assign V767509 = V547621 + 1. assign V556342 = V112283 + 1. assign V903440 = V168951. assign V470569 = V551399 - 1. assign V927222 = V966612 - 1. assign V106912 = V860615.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV827765 = 5;\n\nFrom these direct assignment(s), we have: \nV713920 = V827765 - 1 = 5 - 1 =4;\nNo other variables can be derived from V713920;\nNo other variables can be derived from V827765;\n\nNow we have done all the calculations. Derived variables are:\nV827765 = 5;\nV713920 = 4;\n\nNow we have finished this problem. ANSWER:\nV827765\n", "role": "assistant" } ]

[ "V246529" ]

[ { "content": "<context>\nassign V360686 = V662505 + 1. assign V955859 = V627701. assign V870931 = V267258. assign V997481 = V472166. assign V656104 = V895439 + 1. assign V501451 = V853602 + 1. assign V227059 = V268141 - 1. assign V819933 = V162268 + 1. assign V409801 = V592214 - 1. assign V743805 = V698610. assign V382589 = V985417 - 1. assign V427679 = V485468. assign V261997 = V297920 + 1. assign V485468 = V069731. assign V131217 = V670953 - 1. assign V175013 = V344396. assign V253733 = V317512. assign V209964 = V948577 + 1. assign V859122 = V794474 - 1. assign V662505 = V708260 - 1. assign V480694 = V750021 + 1. assign V621128 = V623083. assign V759452 = V047099. assign V271206 = V131801 + 1. assign V060902 = V286462. assign V682128 = V227059 + 1. assign V887078 = V464420 - 1. assign V789906 = V549914 - 1. assign V347647 = V242712 - 1. assign V645880 = V822918. assign V441714 = V822918. assign V409196 = V870931. assign V852106 = V472584 + 1. assign V199754 = V852106 + 1. assign V081317 = V822918. assign V246326 = V472584 - 1. assign V977473 = V657475. assign V791722 = V330552. assign V978851 = V155485 + 1. assign V708260 = V248014. assign V420818 = V322744. assign V112868 = V464420 - 1. assign V706516 = V503789. assign V229006 = V344396. assign V678136 = V799008 + 1. assign V310291 = V311580 + 1. assign V018419 = V131801. assign V057725 = V627701 + 1. assign V472584 = V404431. assign V420149 = V627701 - 1. assign V084494 = V759452. assign V330552 = V081317 + 1. assign V384617 = V322744 + 1. assign V269699 = V245077 + 1. assign V266311 = V822918. assign V131801 = V242712. assign V200889 = V955859. assign V028676 = V978851. assign V634200 = V472584 + 1. assign V874490 = V384617 + 1. assign V794474 = V322744 + 1. assign V412384 = V081317 - 1. assign V675124 = V464420. assign V853602 = V441714 + 1. assign V162268 = V948168 + 1. assign V047099 = V985417 - 1. assign V326583 = V822918 - 1. assign V246529 = V485666 - 1. assign V936853 = V592214. assign V948168 = V322744 + 1. assign V485666 = 9. assign V342916 = V662505 - 1. assign V094656 = V627701 + 1. assign V472166 = V750021 + 1. assign V892681 = V575057 - 1. assign V568999 = V627701 + 1. assign V073255 = V060902. assign V337021 = V148628 + 1. assign V461227 = V069731 - 1. assign V854424 = V248014 - 1. assign V575057 = V981312. assign V414258 = V634200 + 1. assign V935083 = V286462 - 1. assign V625213 = V794474 - 1. assign V503789 = V057725 + 1. assign V736766 = V472166. assign V822918 = V420149. assign V895439 = V242712 + 1. assign V232123 = V084494 - 1. assign V218059 = V625213. assign V070105 = V576068. assign V148628 = V794474 + 1. assign V726958 = V750021 + 1. assign V113260 = V069731 + 1. assign V938757 = V750021. assign V261141 = V420149 - 1. assign V268141 = V248014. assign V919617 = V371684 + 1. assign V404431 = V322744 + 1. assign V318825 = V060902. assign V081707 = V266311 + 1. assign V155485 = V268141 + 1. assign V245077 = V621128 - 1. assign V869603 = V887078 + 1. assign V576068 = V057725 + 1. assign V507484 = V384617 + 1. assign V129925 = V887078 - 1. assign V874248 = V317512 - 1. assign V835860 = V070105 + 1. assign V267258 = V420149 - 1. assign V985417 = V420149 - 1. assign V317512 = V464420. assign V371684 = V637048. assign V916635 = V623083 + 1. assign V669880 = V472166 + 1. assign V242712 = V322744 - 1. assign V623083 = V698610. assign V361190 = V069731. assign V760011 = V670953 - 1. assign V297920 = V698610. assign V286462 = V853602 + 1. assign V189615 = V981312. assign V271983 = V919617 - 1. assign V464420 = V384617 - 1. assign V627701 = V242712 + 1. assign V278375 = V645880. assign V871581 = V670953 - 1. assign V650936 = V736766 + 1. assign V370643 = V246326. assign V592214 = V420149 - 1. assign V326491 = V575057 + 1. assign V947769 = V220007 - 1. assign V838016 = V637048 + 1. assign V495209 = V472584. assign V283361 = V322744 + 1. assign V474332 = V736766. assign V996874 = V743805 + 1. assign V286662 = V060902 + 1. assign V311580 = V268141 - 1. assign V657475 = V503789. assign V184367 = V675124 - 1. assign V248014 = V627701. assign V149948 = V871581. assign V637048 = V794474. assign V948577 = V623083. assign V352594 = V495209. assign V281241 = V361190. assign V334528 = V268141 + 1. assign V907634 = V669880 + 1. assign V771866 = V495209 + 1. assign V230070 = V985417 + 1. assign V549914 = V297920 - 1. assign V981312 = V627701 + 1. assign V490884 = V344396 - 1. assign V220007 = V047099 - 1. assign V670953 = V627701 + 1. assign V069731 = V148628. assign V183123 = V760011 - 1. assign V750021 = V057725 + 1. assign V593180 = V678136 - 1. assign V120947 = V057725 - 1. assign V180637 = V267258 + 1. assign V474099 = V220007. assign V046670 = V310291 - 1. assign V799008 = V148628 - 1. assign V137254 = V645880 + 1. assign V551831 = V299233 + 1. assign V834278 = V267258. assign V344396 = V472166. assign V299233 = V549914. assign V698610 = V129925 - 1. assign V207985 = V129925.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V360686 = V662505 + 1. assign V955859 = V627701. assign V870931 = V267258. assign V997481 = V472166. assign V656104 = V895439 + 1. assign V501451 = V853602 + 1. assign V227059 = V268141 - 1. assign V819933 = V162268 + 1. assign V409801 = V592214 - 1. assign V743805 = V698610. assign V382589 = V985417 - 1. assign V427679 = V485468. assign V261997 = V297920 + 1. assign V485468 = V069731. assign V131217 = V670953 - 1. assign V175013 = V344396. assign V253733 = V317512. assign V209964 = V948577 + 1. assign V859122 = V794474 - 1. assign V662505 = V708260 - 1. assign V480694 = V750021 + 1. assign V621128 = V623083. assign V759452 = V047099. assign V271206 = V131801 + 1. assign V060902 = V286462. assign V682128 = V227059 + 1. assign V887078 = V464420 - 1. assign V789906 = V549914 - 1. assign V347647 = V242712 - 1. assign V645880 = V822918. assign V441714 = V822918. assign V409196 = V870931. assign V852106 = V472584 + 1. assign V199754 = V852106 + 1. assign V081317 = V822918. assign V246326 = V472584 - 1. assign V977473 = V657475. assign V791722 = V330552. assign V978851 = V155485 + 1. assign V708260 = V248014. assign V420818 = V322744. assign V112868 = V464420 - 1. assign V706516 = V503789. assign V229006 = V344396. assign V678136 = V799008 + 1. assign V310291 = V311580 + 1. assign V018419 = V131801. assign V057725 = V627701 + 1. assign V472584 = V404431. assign V420149 = V627701 - 1. assign V084494 = V759452. assign V330552 = V081317 + 1. assign V384617 = V322744 + 1. assign V269699 = V245077 + 1. assign V266311 = V822918. assign V131801 = V242712. assign V200889 = V955859. assign V028676 = V978851. assign V634200 = V472584 + 1. assign V874490 = V384617 + 1. assign V794474 = V322744 + 1. assign V412384 = V081317 - 1. assign V675124 = V464420. assign V853602 = V441714 + 1. assign V162268 = V948168 + 1. assign V047099 = V985417 - 1. assign V326583 = V822918 - 1. assign V246529 = V485666 - 1. assign V936853 = V592214. assign V948168 = V322744 + 1. assign V485666 = 9. assign V342916 = V662505 - 1. assign V094656 = V627701 + 1. assign V472166 = V750021 + 1. assign V892681 = V575057 - 1. assign V568999 = V627701 + 1. assign V073255 = V060902. assign V337021 = V148628 + 1. assign V461227 = V069731 - 1. assign V854424 = V248014 - 1. assign V575057 = V981312. assign V414258 = V634200 + 1. assign V935083 = V286462 - 1. assign V625213 = V794474 - 1. assign V503789 = V057725 + 1. assign V736766 = V472166. assign V822918 = V420149. assign V895439 = V242712 + 1. assign V232123 = V084494 - 1. assign V218059 = V625213. assign V070105 = V576068. assign V148628 = V794474 + 1. assign V726958 = V750021 + 1. assign V113260 = V069731 + 1. assign V938757 = V750021. assign V261141 = V420149 - 1. assign V268141 = V248014. assign V919617 = V371684 + 1. assign V404431 = V322744 + 1. assign V318825 = V060902. assign V081707 = V266311 + 1. assign V155485 = V268141 + 1. assign V245077 = V621128 - 1. assign V869603 = V887078 + 1. assign V576068 = V057725 + 1. assign V507484 = V384617 + 1. assign V129925 = V887078 - 1. assign V874248 = V317512 - 1. assign V835860 = V070105 + 1. assign V267258 = V420149 - 1. assign V985417 = V420149 - 1. assign V317512 = V464420. assign V371684 = V637048. assign V916635 = V623083 + 1. assign V669880 = V472166 + 1. assign V242712 = V322744 - 1. assign V623083 = V698610. assign V361190 = V069731. assign V760011 = V670953 - 1. assign V297920 = V698610. assign V286462 = V853602 + 1. assign V189615 = V981312. assign V271983 = V919617 - 1. assign V464420 = V384617 - 1. assign V627701 = V242712 + 1. assign V278375 = V645880. assign V871581 = V670953 - 1. assign V650936 = V736766 + 1. assign V370643 = V246326. assign V592214 = V420149 - 1. assign V326491 = V575057 + 1. assign V947769 = V220007 - 1. assign V838016 = V637048 + 1. assign V495209 = V472584. assign V283361 = V322744 + 1. assign V474332 = V736766. assign V996874 = V743805 + 1. assign V286662 = V060902 + 1. assign V311580 = V268141 - 1. assign V657475 = V503789. assign V184367 = V675124 - 1. assign V248014 = V627701. assign V149948 = V871581. assign V637048 = V794474. assign V948577 = V623083. assign V352594 = V495209. assign V281241 = V361190. assign V334528 = V268141 + 1. assign V907634 = V669880 + 1. assign V771866 = V495209 + 1. assign V230070 = V985417 + 1. assign V549914 = V297920 - 1. assign V981312 = V627701 + 1. assign V490884 = V344396 - 1. assign V220007 = V047099 - 1. assign V670953 = V627701 + 1. assign V069731 = V148628. assign V183123 = V760011 - 1. assign V750021 = V057725 + 1. assign V593180 = V678136 - 1. assign V120947 = V057725 - 1. assign V180637 = V267258 + 1. assign V474099 = V220007. assign V046670 = V310291 - 1. assign V799008 = V148628 - 1. assign V137254 = V645880 + 1. assign V551831 = V299233 + 1. assign V834278 = V267258. assign V344396 = V472166. assign V299233 = V549914. assign V698610 = V129925 - 1. assign V207985 = V129925.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV485666 = 9;\n\nFrom these direct assignment(s), we have: \nV246529 = V485666 - 1 = 9 - 1 =8;\nNo other variables can be derived from V246529;\nNo other variables can be derived from V485666;\n\nNow we have done all the calculations. Derived variables are:\nV485666 = 9;\nV246529 = 8;\n\nNow we have finished this problem. ANSWER:\nV246529\n", "role": "assistant" } ]

[ "V157169" ]

[ { "content": "<context>\nassign V071969 = V172131. assign V487188 = V678520 - 1. assign V797414 = V356394. assign V562694 = V787587. assign V993857 = V563394. assign V055390 = V487188. assign V063201 = V449781 + 1. assign V952517 = V136589. assign V365153 = V304666 - 1. assign V291779 = V214315. assign V392046 = V678520 + 1. assign V912656 = V173565 + 1. assign V366800 = V647420. assign V856348 = V590074. assign V526356 = V387464 - 1. assign V058127 = V576465. assign V462007 = V041971 + 1. assign V051810 = V077699 - 1. assign V041971 = V017964 + 1. assign V441697 = V017964 - 1. assign V893106 = V077699. assign V796377 = V173565 + 1. assign V014686 = V077699 + 1. assign V344756 = V462007 + 1. assign V046559 = V590074 - 1. assign V055885 = V815978 - 1. assign V652267 = V510848 + 1. assign V905150 = V882749 + 1. assign V408871 = V242290 - 1. assign V302771 = V048607 - 1. assign V715320 = V340223 - 1. assign V455752 = V581837. assign V626485 = V366800 + 1. assign V561527 = V190556. assign V580478 = V191369 + 1. assign V191369 = V061001 - 1. assign V607903 = V995731 - 1. assign V477560 = V248263 + 1. assign V697437 = V797414. assign V576465 = V335718 + 1. assign V340223 = V335718 - 1. assign V012673 = V387464. assign V242290 = V462007 - 1. assign V850040 = V335718 - 1. assign V681154 = V787587 - 1. assign V048607 = V356394 + 1. assign V889951 = V797414 - 1. assign V631397 = V343492 + 1. assign V066384 = V576465 - 1. assign V857560 = V214315 + 1. assign V904385 = V857560 + 1. assign V106526 = V520682. assign V240992 = V462007 - 1. assign V086355 = V344756. assign V168477 = V007848 - 1. assign V762401 = V882749 + 1. assign V815421 = V893106 + 1. assign V640655 = V563394 - 1. assign V302731 = V590074 - 1. assign V544559 = V715320 + 1. assign V445163 = V041971 - 1. assign V327656 = V356394 - 1. assign V952736 = V416231 + 1. assign V089817 = V735247 - 1. assign V678520 = V335718. assign V416107 = V912656. assign V910738 = V681154 + 1. assign V446037 = V477560. assign V360511 = V561527 + 1. assign V449781 = V446037. assign V976610 = V172131 + 1. assign V017964 = V356394 + 1. assign V190556 = V526356. assign V586215 = V561527 + 1. assign V922348 = V826832 + 1. assign V416231 = V651152. assign V081466 = V561527 + 1. assign V162776 = V054004 - 1. assign V964105 = V240992 - 1. assign V436408 = V715320. assign V912307 = V356394. assign V007355 = V510848 + 1. assign V153160 = V796616. assign V518683 = V242290 - 1. assign V103660 = V017964. assign V393784 = V248263 + 1. assign V661682 = V883432 + 1. assign V917160 = V240992 - 1. assign V996286 = V715320 + 1. assign V307553 = V103660 + 1. assign V250199 = V012673 - 1. assign V522462 = V048607. assign V528596 = V432895 - 1. assign V387464 = V678520. assign V242401 = V436408 - 1. assign V995731 = V883432. assign V723088 = V576465. assign V735247 = V048607 - 1. assign V246955 = V416107 + 1. assign V138410 = V012673 - 1. assign V054004 = V826832 + 1. assign V796616 = V238976 - 1. assign V312755 = V889951. assign V062208 = V054004. assign V625021 = V356394 - 1. assign V170749 = V815978. assign V647420 = V477560 + 1. assign V081811 = V062208. assign V058235 = V356394. assign V356394 = V172131. assign V815978 = V581837. assign V206353 = V882749 - 1. assign V563394 = V041971. assign V069282 = V242290 - 1. assign V883432 = V190556. assign V308462 = V340223 - 1. assign V398608 = V528596. assign V882749 = V857560 + 1. assign V724626 = 9. assign V581837 = V436408 + 1. assign V304666 = V416231 - 1. assign V327634 = V446037 + 1. assign V157169 = V724626 - 1. assign V520682 = V307553. assign V086270 = V055885. assign V254080 = V889951 - 1. assign V375783 = V469619 + 1. assign V235364 = V069282 + 1. assign V432895 = V343492 + 1. assign V061001 = V356394 + 1. assign V173565 = V247298 + 1. assign V675066 = V360511 - 1. assign V469619 = V563394. assign V247298 = V017964. assign V335718 = V017964 + 1. assign V262879 = V678520 - 1. assign V294923 = V058235. assign V142210 = V469619 - 1. assign V886807 = V917160 - 1. assign V936770 = V392046 + 1. assign V077699 = V432895 - 1. assign V052757 = V510848 + 1. assign V365506 = V976610 - 1. assign V136589 = V051810 + 1. assign V998701 = V012673 - 1. assign V651152 = V017964 - 1. assign V826832 = V356394 + 1. assign V210133 = V561527 - 1. assign V510848 = V889951. assign V343492 = V787587 - 1. assign V007848 = V041971 + 1. assign V364862 = V889951 + 1. assign V510037 = V172131. assign V496245 = V469619 - 1. assign V679375 = V893106 - 1. assign V310611 = V304666. assign V065411 = V917160. assign V590074 = V651152 + 1. assign V275910 = V625021 - 1. assign V238976 = V058235 - 1. assign V928185 = V065411 - 1. assign V787587 = V462007. assign V214315 = V061001 - 1. assign V960952 = V048607 + 1. assign V312556 = V304666 + 1. assign V910152 = V416231 - 1. assign V745651 = V304666 - 1. assign V413469 = V998701 + 1. assign V498927 = V625021. assign V248263 = V343492 - 1. assign V929425 = V172131 + 1. assign V249156 = V153160 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V071969 = V172131. assign V487188 = V678520 - 1. assign V797414 = V356394. assign V562694 = V787587. assign V993857 = V563394. assign V055390 = V487188. assign V063201 = V449781 + 1. assign V952517 = V136589. assign V365153 = V304666 - 1. assign V291779 = V214315. assign V392046 = V678520 + 1. assign V912656 = V173565 + 1. assign V366800 = V647420. assign V856348 = V590074. assign V526356 = V387464 - 1. assign V058127 = V576465. assign V462007 = V041971 + 1. assign V051810 = V077699 - 1. assign V041971 = V017964 + 1. assign V441697 = V017964 - 1. assign V893106 = V077699. assign V796377 = V173565 + 1. assign V014686 = V077699 + 1. assign V344756 = V462007 + 1. assign V046559 = V590074 - 1. assign V055885 = V815978 - 1. assign V652267 = V510848 + 1. assign V905150 = V882749 + 1. assign V408871 = V242290 - 1. assign V302771 = V048607 - 1. assign V715320 = V340223 - 1. assign V455752 = V581837. assign V626485 = V366800 + 1. assign V561527 = V190556. assign V580478 = V191369 + 1. assign V191369 = V061001 - 1. assign V607903 = V995731 - 1. assign V477560 = V248263 + 1. assign V697437 = V797414. assign V576465 = V335718 + 1. assign V340223 = V335718 - 1. assign V012673 = V387464. assign V242290 = V462007 - 1. assign V850040 = V335718 - 1. assign V681154 = V787587 - 1. assign V048607 = V356394 + 1. assign V889951 = V797414 - 1. assign V631397 = V343492 + 1. assign V066384 = V576465 - 1. assign V857560 = V214315 + 1. assign V904385 = V857560 + 1. assign V106526 = V520682. assign V240992 = V462007 - 1. assign V086355 = V344756. assign V168477 = V007848 - 1. assign V762401 = V882749 + 1. assign V815421 = V893106 + 1. assign V640655 = V563394 - 1. assign V302731 = V590074 - 1. assign V544559 = V715320 + 1. assign V445163 = V041971 - 1. assign V327656 = V356394 - 1. assign V952736 = V416231 + 1. assign V089817 = V735247 - 1. assign V678520 = V335718. assign V416107 = V912656. assign V910738 = V681154 + 1. assign V446037 = V477560. assign V360511 = V561527 + 1. assign V449781 = V446037. assign V976610 = V172131 + 1. assign V017964 = V356394 + 1. assign V190556 = V526356. assign V586215 = V561527 + 1. assign V922348 = V826832 + 1. assign V416231 = V651152. assign V081466 = V561527 + 1. assign V162776 = V054004 - 1. assign V964105 = V240992 - 1. assign V436408 = V715320. assign V912307 = V356394. assign V007355 = V510848 + 1. assign V153160 = V796616. assign V518683 = V242290 - 1. assign V103660 = V017964. assign V393784 = V248263 + 1. assign V661682 = V883432 + 1. assign V917160 = V240992 - 1. assign V996286 = V715320 + 1. assign V307553 = V103660 + 1. assign V250199 = V012673 - 1. assign V522462 = V048607. assign V528596 = V432895 - 1. assign V387464 = V678520. assign V242401 = V436408 - 1. assign V995731 = V883432. assign V723088 = V576465. assign V735247 = V048607 - 1. assign V246955 = V416107 + 1. assign V138410 = V012673 - 1. assign V054004 = V826832 + 1. assign V796616 = V238976 - 1. assign V312755 = V889951. assign V062208 = V054004. assign V625021 = V356394 - 1. assign V170749 = V815978. assign V647420 = V477560 + 1. assign V081811 = V062208. assign V058235 = V356394. assign V356394 = V172131. assign V815978 = V581837. assign V206353 = V882749 - 1. assign V563394 = V041971. assign V069282 = V242290 - 1. assign V883432 = V190556. assign V308462 = V340223 - 1. assign V398608 = V528596. assign V882749 = V857560 + 1. assign V724626 = 9. assign V581837 = V436408 + 1. assign V304666 = V416231 - 1. assign V327634 = V446037 + 1. assign V157169 = V724626 - 1. assign V520682 = V307553. assign V086270 = V055885. assign V254080 = V889951 - 1. assign V375783 = V469619 + 1. assign V235364 = V069282 + 1. assign V432895 = V343492 + 1. assign V061001 = V356394 + 1. assign V173565 = V247298 + 1. assign V675066 = V360511 - 1. assign V469619 = V563394. assign V247298 = V017964. assign V335718 = V017964 + 1. assign V262879 = V678520 - 1. assign V294923 = V058235. assign V142210 = V469619 - 1. assign V886807 = V917160 - 1. assign V936770 = V392046 + 1. assign V077699 = V432895 - 1. assign V052757 = V510848 + 1. assign V365506 = V976610 - 1. assign V136589 = V051810 + 1. assign V998701 = V012673 - 1. assign V651152 = V017964 - 1. assign V826832 = V356394 + 1. assign V210133 = V561527 - 1. assign V510848 = V889951. assign V343492 = V787587 - 1. assign V007848 = V041971 + 1. assign V364862 = V889951 + 1. assign V510037 = V172131. assign V496245 = V469619 - 1. assign V679375 = V893106 - 1. assign V310611 = V304666. assign V065411 = V917160. assign V590074 = V651152 + 1. assign V275910 = V625021 - 1. assign V238976 = V058235 - 1. assign V928185 = V065411 - 1. assign V787587 = V462007. assign V214315 = V061001 - 1. assign V960952 = V048607 + 1. assign V312556 = V304666 + 1. assign V910152 = V416231 - 1. assign V745651 = V304666 - 1. assign V413469 = V998701 + 1. assign V498927 = V625021. assign V248263 = V343492 - 1. assign V929425 = V172131 + 1. assign V249156 = V153160 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV724626 = 9;\n\nFrom these direct assignment(s), we have: \nV157169 = V724626 - 1 = 9 - 1 =8;\nNo other variables can be derived from V157169;\nNo other variables can be derived from V724626;\n\nNow we have done all the calculations. Derived variables are:\nV724626 = 9;\nV157169 = 8;\n\nNow we have finished this problem. ANSWER:\nV157169\n", "role": "assistant" } ]

[ "V076668" ]

[ { "content": "<context>\nassign V968336 = V478933. assign V848781 = V537515 - 1. assign V827862 = V723020 + 1. assign V579392 = V845982 + 1. assign V988560 = V317662 + 1. assign V879950 = V497061 + 1. assign V687880 = V303503 + 1. assign V610992 = V845982 + 1. assign V321005 = V049673 + 1. assign V516882 = V129349. assign V208163 = V031936 + 1. assign V398612 = V013976. assign V080245 = V256446 - 1. assign V717074 = V577349 + 1. assign V806970 = V051036 + 1. assign V039267 = V516882 - 1. assign V943749 = V139060 + 1. assign V659198 = V792144 + 1. assign V845982 = V406535. assign V340186 = V031936 + 1. assign V679320 = V070836. assign V536426 = V303503. assign V207191 = V769245 - 1. assign V791338 = V857614 - 1. assign V552706 = V406535 + 1. assign V182196 = V037664. assign V966353 = V782536. assign V519811 = V020148 + 1. assign V571445 = V806970. assign V013976 = V020148 - 1. assign V961412 = V127306 - 1. assign V537332 = V245111 + 1. assign V037664 = V404309 - 1. assign V584314 = V552706 - 1. assign V200198 = V588276 + 1. assign V813755 = V482511 + 1. assign V049673 = V985164 + 1. assign V128023 = V584314 - 1. assign V629460 = V207191. assign V597301 = V848993 - 1. assign V677584 = V687880. assign V628796 = V382415 - 1. assign V463982 = V579392 - 1. assign V058008 = V406535 - 1. assign V980949 = V463982 + 1. assign V457494 = V243238. assign V189993 = V845982 + 1. assign V868057 = V129349. assign V306877 = V666343. assign V156134 = V874089. assign V297026 = V769245 + 1. assign V402381 = V382415 + 1. assign V449943 = V156270 + 1. assign V282729 = V878082. assign V243238 = V821384. assign V246047 = V723020. assign V429301 = V845982 + 1. assign V456208 = V703315 - 1. assign V666343 = V769245 + 1. assign V862238 = V404309 - 1. assign V220418 = V943749 + 1. assign V020148 = V759385 - 1. assign V245791 = V821384 + 1. assign V482511 = V703315. assign V759385 = V577349 - 1. assign V406535 = V317662 - 1. assign V882224 = V610992 + 1. assign V299020 = V552706 - 1. assign V154596 = V791338. assign V196937 = V458445. assign V841439 = V756348. assign V665306 = V997407 - 1. assign V769881 = V769245. assign V458445 = V703315. assign V378540 = V792144 - 1. assign V792144 = V769245 + 1. assign V984845 = V870685 + 1. assign V707730 = V516882 + 1. assign V706769 = V317662 + 1. assign V777422 = V666343 + 1. assign V649682 = V303503 - 1. assign V997407 = V827862. assign V051036 = V497061. assign V497061 = V406535 - 1. assign V062963 = V845982 - 1. assign V039740 = V961412 + 1. assign V424869 = V321005. assign V799934 = V174883 + 1. assign V478933 = V256446 - 1. assign V224773 = V127306. assign V769245 = V723020 - 1. assign V723020 = V303503 + 1. assign V076668 = V497796 - 1. assign V031936 = V129349 + 1. assign V441775 = V398612. assign V222672 = V626969 - 1. assign V600397 = V769881. assign V009009 = V711283 - 1. assign V577349 = V857614 - 1. assign V129349 = V577349 - 1. assign V735289 = V610992 - 1. assign V652992 = V182196 - 1. assign V035419 = V378540 + 1. assign V724012 = V450619. assign V156270 = V232227. assign V232227 = V339373 + 1. assign V178932 = V037664 + 1. assign V521252 = V156270. assign V756348 = V857614 - 1. assign V868250 = V154596. assign V458455 = V649682. assign V924765 = V207191 + 1. assign V448772 = V723020. assign V289352 = V176175. assign V404309 = V406535 + 1. assign V007320 = V879950. assign V703315 = V723020. assign V878082 = V317662. assign V556402 = V378540 + 1. assign V857614 = V317662. assign V256446 = V552706 + 1. assign V127306 = V845982. assign V124385 = V128023. assign V474998 = V497061 - 1. assign V070836 = V031936 + 1. assign V139060 = V378540. assign V711283 = V806970 + 1. assign V469007 = V243238 - 1. assign V821384 = V404309 + 1. assign V336673 = V950066. assign V852869 = V339373. assign V497796 = 5. assign V176175 = V070836 - 1. assign V537515 = V404309 - 1. assign V174883 = V245791 - 1. assign V637360 = V037664. assign V272651 = V584314. assign V068731 = V591933 - 1. assign V382415 = V845982 + 1. assign V450619 = V848993. assign V489743 = V080245 - 1. assign V245111 = V256446 + 1. assign V737602 = V722734 - 1. assign V874089 = V478933. assign V254993 = V340186. assign V942914 = V722734. assign V141598 = V321005 - 1. assign V353351 = V857614. assign V428707 = V537515 + 1. assign V563665 = V950066. assign V591933 = V317662 + 1. assign V722734 = V821384 + 1. assign V848993 = V584314 - 1. assign V391031 = V457713 - 1. assign V289095 = V070836 + 1. assign V315663 = V404309. assign V782536 = V058008 - 1. assign V372435 = V848781. assign V588276 = V243238. assign V883228 = V610992. assign V870685 = V245791 - 1. assign V457713 = V848993 - 1. assign V303503 = V857614. assign V626969 = V124385 + 1. assign V985164 = V521252 + 1. assign V950066 = V821384. assign V529988 = V174883 + 1. assign V339373 = V303503. assign V627633 = V687880. assign V822232 = V584314 + 1. assign V121152 = V591933 + 1. assign V582550 = V154596 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V968336 = V478933. assign V848781 = V537515 - 1. assign V827862 = V723020 + 1. assign V579392 = V845982 + 1. assign V988560 = V317662 + 1. assign V879950 = V497061 + 1. assign V687880 = V303503 + 1. assign V610992 = V845982 + 1. assign V321005 = V049673 + 1. assign V516882 = V129349. assign V208163 = V031936 + 1. assign V398612 = V013976. assign V080245 = V256446 - 1. assign V717074 = V577349 + 1. assign V806970 = V051036 + 1. assign V039267 = V516882 - 1. assign V943749 = V139060 + 1. assign V659198 = V792144 + 1. assign V845982 = V406535. assign V340186 = V031936 + 1. assign V679320 = V070836. assign V536426 = V303503. assign V207191 = V769245 - 1. assign V791338 = V857614 - 1. assign V552706 = V406535 + 1. assign V182196 = V037664. assign V966353 = V782536. assign V519811 = V020148 + 1. assign V571445 = V806970. assign V013976 = V020148 - 1. assign V961412 = V127306 - 1. assign V537332 = V245111 + 1. assign V037664 = V404309 - 1. assign V584314 = V552706 - 1. assign V200198 = V588276 + 1. assign V813755 = V482511 + 1. assign V049673 = V985164 + 1. assign V128023 = V584314 - 1. assign V629460 = V207191. assign V597301 = V848993 - 1. assign V677584 = V687880. assign V628796 = V382415 - 1. assign V463982 = V579392 - 1. assign V058008 = V406535 - 1. assign V980949 = V463982 + 1. assign V457494 = V243238. assign V189993 = V845982 + 1. assign V868057 = V129349. assign V306877 = V666343. assign V156134 = V874089. assign V297026 = V769245 + 1. assign V402381 = V382415 + 1. assign V449943 = V156270 + 1. assign V282729 = V878082. assign V243238 = V821384. assign V246047 = V723020. assign V429301 = V845982 + 1. assign V456208 = V703315 - 1. assign V666343 = V769245 + 1. assign V862238 = V404309 - 1. assign V220418 = V943749 + 1. assign V020148 = V759385 - 1. assign V245791 = V821384 + 1. assign V482511 = V703315. assign V759385 = V577349 - 1. assign V406535 = V317662 - 1. assign V882224 = V610992 + 1. assign V299020 = V552706 - 1. assign V154596 = V791338. assign V196937 = V458445. assign V841439 = V756348. assign V665306 = V997407 - 1. assign V769881 = V769245. assign V458445 = V703315. assign V378540 = V792144 - 1. assign V792144 = V769245 + 1. assign V984845 = V870685 + 1. assign V707730 = V516882 + 1. assign V706769 = V317662 + 1. assign V777422 = V666343 + 1. assign V649682 = V303503 - 1. assign V997407 = V827862. assign V051036 = V497061. assign V497061 = V406535 - 1. assign V062963 = V845982 - 1. assign V039740 = V961412 + 1. assign V424869 = V321005. assign V799934 = V174883 + 1. assign V478933 = V256446 - 1. assign V224773 = V127306. assign V769245 = V723020 - 1. assign V723020 = V303503 + 1. assign V076668 = V497796 - 1. assign V031936 = V129349 + 1. assign V441775 = V398612. assign V222672 = V626969 - 1. assign V600397 = V769881. assign V009009 = V711283 - 1. assign V577349 = V857614 - 1. assign V129349 = V577349 - 1. assign V735289 = V610992 - 1. assign V652992 = V182196 - 1. assign V035419 = V378540 + 1. assign V724012 = V450619. assign V156270 = V232227. assign V232227 = V339373 + 1. assign V178932 = V037664 + 1. assign V521252 = V156270. assign V756348 = V857614 - 1. assign V868250 = V154596. assign V458455 = V649682. assign V924765 = V207191 + 1. assign V448772 = V723020. assign V289352 = V176175. assign V404309 = V406535 + 1. assign V007320 = V879950. assign V703315 = V723020. assign V878082 = V317662. assign V556402 = V378540 + 1. assign V857614 = V317662. assign V256446 = V552706 + 1. assign V127306 = V845982. assign V124385 = V128023. assign V474998 = V497061 - 1. assign V070836 = V031936 + 1. assign V139060 = V378540. assign V711283 = V806970 + 1. assign V469007 = V243238 - 1. assign V821384 = V404309 + 1. assign V336673 = V950066. assign V852869 = V339373. assign V497796 = 5. assign V176175 = V070836 - 1. assign V537515 = V404309 - 1. assign V174883 = V245791 - 1. assign V637360 = V037664. assign V272651 = V584314. assign V068731 = V591933 - 1. assign V382415 = V845982 + 1. assign V450619 = V848993. assign V489743 = V080245 - 1. assign V245111 = V256446 + 1. assign V737602 = V722734 - 1. assign V874089 = V478933. assign V254993 = V340186. assign V942914 = V722734. assign V141598 = V321005 - 1. assign V353351 = V857614. assign V428707 = V537515 + 1. assign V563665 = V950066. assign V591933 = V317662 + 1. assign V722734 = V821384 + 1. assign V848993 = V584314 - 1. assign V391031 = V457713 - 1. assign V289095 = V070836 + 1. assign V315663 = V404309. assign V782536 = V058008 - 1. assign V372435 = V848781. assign V588276 = V243238. assign V883228 = V610992. assign V870685 = V245791 - 1. assign V457713 = V848993 - 1. assign V303503 = V857614. assign V626969 = V124385 + 1. assign V985164 = V521252 + 1. assign V950066 = V821384. assign V529988 = V174883 + 1. assign V339373 = V303503. assign V627633 = V687880. assign V822232 = V584314 + 1. assign V121152 = V591933 + 1. assign V582550 = V154596 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV497796 = 5;\n\nFrom these direct assignment(s), we have: \nV076668 = V497796 - 1 = 5 - 1 =4;\nNo other variables can be derived from V076668;\nNo other variables can be derived from V497796;\n\nNow we have done all the calculations. Derived variables are:\nV497796 = 5;\nV076668 = 4;\n\nNow we have finished this problem. ANSWER:\nV076668\n", "role": "assistant" } ]

[ "V165690", "V997820" ]

[ { "content": "<context>\nassign V843796 = V005526. assign V359346 = V403379 - 1. assign V952641 = V197949 + 1. assign V582491 = V959327 - 1. assign V395452 = V968641. assign V528984 = V708044 + 1. assign V332992 = V140364 - 1. assign V502088 = V320902 + 1. assign V354562 = V197949. assign V997820 = V165690. assign V721805 = V364004 + 1. assign V565884 = V866611 - 1. assign V476777 = V455800 + 1. assign V912264 = V811250 - 1. assign V544675 = V506017 + 1. assign V418401 = V783437 - 1. assign V050445 = V284815 + 1. assign V707022 = V945199 - 1. assign V629411 = V939630. assign V721130 = V157441 + 1. assign V942736 = V313419 + 1. assign V629377 = V140364. assign V929164 = V011585 - 1. assign V304257 = V208021. assign V396563 = V466011 + 1. assign V711984 = V937836 + 1. assign V985400 = V565884 - 1. assign V741540 = V112470 + 1. assign V694882 = V371749 - 1. assign V810290 = V371749. assign V675294 = V945199. assign V805953 = V332510. assign V214115 = V941901 - 1. assign V959327 = V313419. assign V490304 = V268657 + 1. assign V098079 = V861499 - 1. assign V010799 = V208021 + 1. assign V775374 = V320902 + 1. assign V891363 = V581613. assign V469103 = V629358. assign V157441 = V899805. assign V039882 = V741540 - 1. assign V006229 = V197949 + 1. assign V466011 = V708044 - 1. assign V455800 = V945199 - 1. assign V403379 = V574634. assign V005649 = V502088. assign V005526 = V634109. assign V967990 = V490304 + 1. assign V063847 = V364352 - 1. assign V641790 = V783437 + 1. assign V188482 = V929164 - 1. assign V295868 = V904165 - 1. assign V861499 = V775374. assign V776600 = V708044 + 1. assign V007689 = V866611 - 1. assign V103281 = V490304. assign V941901 = V295868. assign V762343 = V101070 - 1. assign V011585 = V007689. assign V508647 = V929164 + 1. assign V208021 = V502088 - 1. assign V190690 = V929164. assign V594387 = V056392 + 1. assign V165690 = 2. assign V051937 = V313419 - 1. assign V855380 = V308644 + 1. assign V492442 = V553186 + 1. assign V424383 = V553186 - 1. assign V209676 = V050428 + 1. assign V101070 = V929164 - 1. assign V968641 = V776484 - 1. assign V279334 = V304257. assign V364352 = V007689 - 1. assign V629358 = V776484 + 1. assign V571344 = V941901 + 1. assign V096381 = V731648 - 1. assign V497741 = V007689 + 1. assign V963307 = V268657. assign V891750 = V700188 + 1. assign V624869 = V188482 - 1. assign V197949 = V005649 + 1. assign V968364 = V011585 - 1. assign V866207 = V775374 + 1. assign V324367 = V764006. assign V193544 = V490304 - 1. assign V313419 = V320902. assign V296941 = V466943 - 1. assign V900771 = V850885 + 1. assign V288549 = V929164. assign V745087 = V775374. assign V050428 = V112470. assign V129768 = V985400 - 1. assign V320902 = V007689 - 1. assign V140364 = V295868 + 1. assign V502900 = V416851 - 1. assign V939630 = V112470. assign V929219 = V209676 + 1. assign V553186 = V403379 - 1. assign V352010 = V050445 - 1. assign V798638 = V101070 - 1. assign V744423 = V285211 - 1. assign V783437 = V345044 + 1. assign V644241 = V268657 - 1. assign V581613 = V214115 - 1. assign V766279 = V937836 + 1. assign V122052 = V634109 - 1. assign V606355 = V585811. assign V407621 = V193544. assign V235163 = V764006 + 1. assign V168822 = V945199 + 1. assign V936931 = V106380. assign V416851 = V208021 + 1. assign V910651 = V332510. assign V850885 = V776484. assign V332510 = V308644 + 1. assign V444543 = V293176. assign V691986 = V937836. assign V399504 = V403379. assign V720939 = V900771 - 1. assign V501997 = V497741 + 1. assign V268657 = V929164. assign V293176 = V190690. assign V106380 = V011585 + 1. assign V491054 = V157441. assign V112470 = V565884 + 1. assign V776484 = V502088 - 1. assign V574634 = V214115 + 1. assign V506017 = V313419. assign V364004 = V502088. assign V634109 = V293176 - 1. assign V412922 = V866207. assign V925968 = V842719 - 1. assign V784255 = V007689. assign V904165 = V320902 + 1. assign V384166 = V634109 - 1. assign V937836 = V694882. assign V499491 = V296941 - 1. assign V800286 = V005526. assign V585811 = V320902. assign V913160 = V762343 - 1. assign V642108 = V963307. assign V811250 = V140364 + 1. assign V764006 = V190690 + 1. assign V828317 = V850885 - 1. assign V594442 = V293176 - 1. assign V285211 = V313419 + 1. assign V483920 = V394522 - 1. assign V056392 = V010799 - 1. assign V288380 = V866611 - 1. assign V345044 = V371749. assign V208118 = V764006 - 1. assign V813259 = V011585. assign V945199 = V565884 + 1. assign V268214 = V850885 + 1. assign V164780 = V197949 - 1. assign V769331 = V466943 - 1. assign V116062 = V891750 + 1. assign V708044 = V011585 - 1. assign V891268 = V112470. assign V147415 = V582491. assign V371749 = V364004 - 1. assign V097648 = V497741 + 1. assign V700188 = V455800. assign V842719 = V775374 + 1. assign V284815 = V268657. assign V466943 = V304257 + 1. assign V731648 = V574634 + 1. assign V899805 = V011585. assign V308644 = V939630 - 1. assign V394522 = V295868 - 1. assign V129533 = V208021 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V843796 = V005526. assign V359346 = V403379 - 1. assign V952641 = V197949 + 1. assign V582491 = V959327 - 1. assign V395452 = V968641. assign V528984 = V708044 + 1. assign V332992 = V140364 - 1. assign V502088 = V320902 + 1. assign V354562 = V197949. assign V997820 = V165690. assign V721805 = V364004 + 1. assign V565884 = V866611 - 1. assign V476777 = V455800 + 1. assign V912264 = V811250 - 1. assign V544675 = V506017 + 1. assign V418401 = V783437 - 1. assign V050445 = V284815 + 1. assign V707022 = V945199 - 1. assign V629411 = V939630. assign V721130 = V157441 + 1. assign V942736 = V313419 + 1. assign V629377 = V140364. assign V929164 = V011585 - 1. assign V304257 = V208021. assign V396563 = V466011 + 1. assign V711984 = V937836 + 1. assign V985400 = V565884 - 1. assign V741540 = V112470 + 1. assign V694882 = V371749 - 1. assign V810290 = V371749. assign V675294 = V945199. assign V805953 = V332510. assign V214115 = V941901 - 1. assign V959327 = V313419. assign V490304 = V268657 + 1. assign V098079 = V861499 - 1. assign V010799 = V208021 + 1. assign V775374 = V320902 + 1. assign V891363 = V581613. assign V469103 = V629358. assign V157441 = V899805. assign V039882 = V741540 - 1. assign V006229 = V197949 + 1. assign V466011 = V708044 - 1. assign V455800 = V945199 - 1. assign V403379 = V574634. assign V005649 = V502088. assign V005526 = V634109. assign V967990 = V490304 + 1. assign V063847 = V364352 - 1. assign V641790 = V783437 + 1. assign V188482 = V929164 - 1. assign V295868 = V904165 - 1. assign V861499 = V775374. assign V776600 = V708044 + 1. assign V007689 = V866611 - 1. assign V103281 = V490304. assign V941901 = V295868. assign V762343 = V101070 - 1. assign V011585 = V007689. assign V508647 = V929164 + 1. assign V208021 = V502088 - 1. assign V190690 = V929164. assign V594387 = V056392 + 1. assign V165690 = 2. assign V051937 = V313419 - 1. assign V855380 = V308644 + 1. assign V492442 = V553186 + 1. assign V424383 = V553186 - 1. assign V209676 = V050428 + 1. assign V101070 = V929164 - 1. assign V968641 = V776484 - 1. assign V279334 = V304257. assign V364352 = V007689 - 1. assign V629358 = V776484 + 1. assign V571344 = V941901 + 1. assign V096381 = V731648 - 1. assign V497741 = V007689 + 1. assign V963307 = V268657. assign V891750 = V700188 + 1. assign V624869 = V188482 - 1. assign V197949 = V005649 + 1. assign V968364 = V011585 - 1. assign V866207 = V775374 + 1. assign V324367 = V764006. assign V193544 = V490304 - 1. assign V313419 = V320902. assign V296941 = V466943 - 1. assign V900771 = V850885 + 1. assign V288549 = V929164. assign V745087 = V775374. assign V050428 = V112470. assign V129768 = V985400 - 1. assign V320902 = V007689 - 1. assign V140364 = V295868 + 1. assign V502900 = V416851 - 1. assign V939630 = V112470. assign V929219 = V209676 + 1. assign V553186 = V403379 - 1. assign V352010 = V050445 - 1. assign V798638 = V101070 - 1. assign V744423 = V285211 - 1. assign V783437 = V345044 + 1. assign V644241 = V268657 - 1. assign V581613 = V214115 - 1. assign V766279 = V937836 + 1. assign V122052 = V634109 - 1. assign V606355 = V585811. assign V407621 = V193544. assign V235163 = V764006 + 1. assign V168822 = V945199 + 1. assign V936931 = V106380. assign V416851 = V208021 + 1. assign V910651 = V332510. assign V850885 = V776484. assign V332510 = V308644 + 1. assign V444543 = V293176. assign V691986 = V937836. assign V399504 = V403379. assign V720939 = V900771 - 1. assign V501997 = V497741 + 1. assign V268657 = V929164. assign V293176 = V190690. assign V106380 = V011585 + 1. assign V491054 = V157441. assign V112470 = V565884 + 1. assign V776484 = V502088 - 1. assign V574634 = V214115 + 1. assign V506017 = V313419. assign V364004 = V502088. assign V634109 = V293176 - 1. assign V412922 = V866207. assign V925968 = V842719 - 1. assign V784255 = V007689. assign V904165 = V320902 + 1. assign V384166 = V634109 - 1. assign V937836 = V694882. assign V499491 = V296941 - 1. assign V800286 = V005526. assign V585811 = V320902. assign V913160 = V762343 - 1. assign V642108 = V963307. assign V811250 = V140364 + 1. assign V764006 = V190690 + 1. assign V828317 = V850885 - 1. assign V594442 = V293176 - 1. assign V285211 = V313419 + 1. assign V483920 = V394522 - 1. assign V056392 = V010799 - 1. assign V288380 = V866611 - 1. assign V345044 = V371749. assign V208118 = V764006 - 1. assign V813259 = V011585. assign V945199 = V565884 + 1. assign V268214 = V850885 + 1. assign V164780 = V197949 - 1. assign V769331 = V466943 - 1. assign V116062 = V891750 + 1. assign V708044 = V011585 - 1. assign V891268 = V112470. assign V147415 = V582491. assign V371749 = V364004 - 1. assign V097648 = V497741 + 1. assign V700188 = V455800. assign V842719 = V775374 + 1. assign V284815 = V268657. assign V466943 = V304257 + 1. assign V731648 = V574634 + 1. assign V899805 = V011585. assign V308644 = V939630 - 1. assign V394522 = V295868 - 1. assign V129533 = V208021 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV165690 = 2;\n\nFrom these direct assignment(s), we have: \nV997820 = V165690 = 2;\nNo other variables can be derived from V997820;\nNo other variables can be derived from V165690;\n\nNow we have done all the calculations. Derived variables are:\nV165690 = 2;\nV997820 = 2;\n\nNow we have finished this problem. ANSWER:\nV165690, V997820\n", "role": "assistant" } ]

[ "V104963", "V540227" ]

[ { "content": "<context>\nassign V108087 = V706011 - 1. assign V616522 = V403480 - 1. assign V835909 = V178892. assign V435546 = V967766 - 1. assign V687015 = V706011. assign V350437 = V586604 + 1. assign V119575 = V038129 + 1. assign V104963 = 4. assign V108711 = V478501 + 1. assign V429367 = V855415 - 1. assign V743182 = V626391 + 1. assign V860708 = V432904 + 1. assign V985001 = V356872. assign V837340 = V415556 + 1. assign V271509 = V268535 - 1. assign V890693 = V479941 - 1. assign V478501 = V831410. assign V956918 = V101310. assign V046637 = V742274 - 1. assign V509060 = V681273 - 1. assign V609352 = V643170. assign V032337 = V271509. assign V130494 = V383923 + 1. assign V416503 = V108087 - 1. assign V241946 = V479941 + 1. assign V943924 = V277892 + 1. assign V984811 = V430299. assign V412931 = V271509 - 1. assign V402443 = V706011 - 1. assign V061759 = V311726 - 1. assign V451825 = V061759. assign V432904 = V312917. assign V037430 = V277892 + 1. assign V851001 = V838412 + 1. assign V784387 = V178892. assign V530137 = V312917 - 1. assign V399483 = V473019 - 1. assign V268535 = V277892 - 1. assign V985985 = V268535 - 1. assign V997058 = V831410 + 1. assign V759231 = V478501 + 1. assign V838412 = V706011 + 1. assign V213788 = V478501 + 1. assign V581079 = V975980. assign V366861 = V415556 + 1. assign V689068 = V628844. assign V566971 = V061759 + 1. assign V815168 = V032337 + 1. assign V052050 = V037430 - 1. assign V780640 = V884350. assign V760805 = V581079 + 1. assign V277092 = V402443. assign V492321 = V921524 + 1. assign V178892 = V831410. assign V779770 = V710258 - 1. assign V881176 = V706011 + 1. assign V620581 = V119575. assign V383923 = V851001 + 1. assign V628844 = V383923 - 1. assign V140305 = V037430. assign V370613 = V782703 + 1. assign V183497 = V586604 + 1. assign V663823 = V101310 + 1. assign V005341 = V794072 - 1. assign V499473 = V052050. assign V540227 = V104963. assign V989732 = V416503 + 1. assign V694759 = V108087. assign V137904 = V628844 - 1. assign V784969 = V399483 + 1. assign V241244 = V530137 - 1. assign V200519 = V017169 - 1. assign V291657 = V760805 - 1. assign V918584 = V694759 + 1. assign V884350 = V710258 - 1. assign V496146 = V769214 - 1. assign V747318 = V062355 + 1. assign V773651 = V628844 - 1. assign V846119 = V140305 + 1. assign V038129 = V851001 - 1. assign V578171 = V525263 + 1. assign V893967 = V956918 - 1. assign V560174 = V760805. assign V822612 = V860708. assign V706011 = V277892. assign V528452 = V311726. assign V907929 = V439878 - 1. assign V200046 = V681273 - 1. assign V479941 = V432904. assign V735032 = V706011. assign V796871 = V997058 - 1. assign V495584 = V881176 - 1. assign V123508 = V435546. assign V798246 = V985001 + 1. assign V098198 = V525263 - 1. assign V626391 = V845235 + 1. assign V230604 = V108087 - 1. assign V860920 = V178892 + 1. assign V401765 = V021906 - 1. assign V253849 = V752682 - 1. assign V021906 = V037430 - 1. assign V056069 = V782703. assign V855415 = V432904 + 1. assign V877905 = V499473 + 1. assign V831410 = V268535 - 1. assign V371029 = V130494 + 1. assign V967766 = V735032. assign V681273 = V675820. assign V769214 = V975980 + 1. assign V752682 = V137904. assign V190509 = V108087 - 1. assign V430299 = V268535. assign V139033 = V710258 - 1. assign V292427 = V032337 + 1. assign V643170 = V052050. assign V464155 = V495584 + 1. assign V975980 = V846119 + 1. assign V695257 = V375558 - 1. assign V329873 = V997058 - 1. assign V375558 = V838412. assign V310808 = V838412. assign V362058 = V277092 + 1. assign V304480 = V213788 + 1. assign V525263 = V846119. assign V362928 = V464155 - 1. assign V742274 = V752682. assign V158741 = V943924 - 1. assign V471136 = V595782. assign V351683 = V052050. assign V819998 = V350437. assign V688689 = V643170 + 1. assign V123647 = V478501 - 1. assign V213969 = V967766. assign V638663 = V304480. assign V595782 = V779770. assign V312917 = V178892 + 1. assign V397693 = V416503. assign V491579 = V907929. assign V513072 = V881176 + 1. assign V891773 = V935070. assign V935070 = V495584 - 1. assign V574847 = V769214 - 1. assign V415556 = V017169 + 1. assign V921524 = V967766 - 1. assign V482442 = V706011. assign V311726 = V101310. assign V540680 = V578171 + 1. assign V439878 = V943924 + 1. assign V651866 = V495584. assign V586604 = V021906 + 1. assign V459804 = V158741 - 1. assign V473019 = V581079 + 1. assign V451630 = V710258 + 1. assign V335904 = V356872. assign V955883 = V137904 - 1. assign V017169 = V335904. assign V280259 = V213788 + 1. assign V403480 = V513072 - 1. assign V818413 = V401765. assign V794072 = V416503 + 1. assign V101310 = V230604 + 1. assign V675820 = V190509 + 1. assign V062355 = V851001 + 1. assign V710258 = V831410 - 1. assign V238315 = V038129 + 1. assign V311990 = V037430 - 1. assign V845235 = V735032 + 1. assign V069048 = V967766 - 1. assign V733208 = V416503 - 1. assign V356872 = V038129 - 1. assign V929426 = V784387 + 1. assign V782703 = V190509 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V108087 = V706011 - 1. assign V616522 = V403480 - 1. assign V835909 = V178892. assign V435546 = V967766 - 1. assign V687015 = V706011. assign V350437 = V586604 + 1. assign V119575 = V038129 + 1. assign V104963 = 4. assign V108711 = V478501 + 1. assign V429367 = V855415 - 1. assign V743182 = V626391 + 1. assign V860708 = V432904 + 1. assign V985001 = V356872. assign V837340 = V415556 + 1. assign V271509 = V268535 - 1. assign V890693 = V479941 - 1. assign V478501 = V831410. assign V956918 = V101310. assign V046637 = V742274 - 1. assign V509060 = V681273 - 1. assign V609352 = V643170. assign V032337 = V271509. assign V130494 = V383923 + 1. assign V416503 = V108087 - 1. assign V241946 = V479941 + 1. assign V943924 = V277892 + 1. assign V984811 = V430299. assign V412931 = V271509 - 1. assign V402443 = V706011 - 1. assign V061759 = V311726 - 1. assign V451825 = V061759. assign V432904 = V312917. assign V037430 = V277892 + 1. assign V851001 = V838412 + 1. assign V784387 = V178892. assign V530137 = V312917 - 1. assign V399483 = V473019 - 1. assign V268535 = V277892 - 1. assign V985985 = V268535 - 1. assign V997058 = V831410 + 1. assign V759231 = V478501 + 1. assign V838412 = V706011 + 1. assign V213788 = V478501 + 1. assign V581079 = V975980. assign V366861 = V415556 + 1. assign V689068 = V628844. assign V566971 = V061759 + 1. assign V815168 = V032337 + 1. assign V052050 = V037430 - 1. assign V780640 = V884350. assign V760805 = V581079 + 1. assign V277092 = V402443. assign V492321 = V921524 + 1. assign V178892 = V831410. assign V779770 = V710258 - 1. assign V881176 = V706011 + 1. assign V620581 = V119575. assign V383923 = V851001 + 1. assign V628844 = V383923 - 1. assign V140305 = V037430. assign V370613 = V782703 + 1. assign V183497 = V586604 + 1. assign V663823 = V101310 + 1. assign V005341 = V794072 - 1. assign V499473 = V052050. assign V540227 = V104963. assign V989732 = V416503 + 1. assign V694759 = V108087. assign V137904 = V628844 - 1. assign V784969 = V399483 + 1. assign V241244 = V530137 - 1. assign V200519 = V017169 - 1. assign V291657 = V760805 - 1. assign V918584 = V694759 + 1. assign V884350 = V710258 - 1. assign V496146 = V769214 - 1. assign V747318 = V062355 + 1. assign V773651 = V628844 - 1. assign V846119 = V140305 + 1. assign V038129 = V851001 - 1. assign V578171 = V525263 + 1. assign V893967 = V956918 - 1. assign V560174 = V760805. assign V822612 = V860708. assign V706011 = V277892. assign V528452 = V311726. assign V907929 = V439878 - 1. assign V200046 = V681273 - 1. assign V479941 = V432904. assign V735032 = V706011. assign V796871 = V997058 - 1. assign V495584 = V881176 - 1. assign V123508 = V435546. assign V798246 = V985001 + 1. assign V098198 = V525263 - 1. assign V626391 = V845235 + 1. assign V230604 = V108087 - 1. assign V860920 = V178892 + 1. assign V401765 = V021906 - 1. assign V253849 = V752682 - 1. assign V021906 = V037430 - 1. assign V056069 = V782703. assign V855415 = V432904 + 1. assign V877905 = V499473 + 1. assign V831410 = V268535 - 1. assign V371029 = V130494 + 1. assign V967766 = V735032. assign V681273 = V675820. assign V769214 = V975980 + 1. assign V752682 = V137904. assign V190509 = V108087 - 1. assign V430299 = V268535. assign V139033 = V710258 - 1. assign V292427 = V032337 + 1. assign V643170 = V052050. assign V464155 = V495584 + 1. assign V975980 = V846119 + 1. assign V695257 = V375558 - 1. assign V329873 = V997058 - 1. assign V375558 = V838412. assign V310808 = V838412. assign V362058 = V277092 + 1. assign V304480 = V213788 + 1. assign V525263 = V846119. assign V362928 = V464155 - 1. assign V742274 = V752682. assign V158741 = V943924 - 1. assign V471136 = V595782. assign V351683 = V052050. assign V819998 = V350437. assign V688689 = V643170 + 1. assign V123647 = V478501 - 1. assign V213969 = V967766. assign V638663 = V304480. assign V595782 = V779770. assign V312917 = V178892 + 1. assign V397693 = V416503. assign V491579 = V907929. assign V513072 = V881176 + 1. assign V891773 = V935070. assign V935070 = V495584 - 1. assign V574847 = V769214 - 1. assign V415556 = V017169 + 1. assign V921524 = V967766 - 1. assign V482442 = V706011. assign V311726 = V101310. assign V540680 = V578171 + 1. assign V439878 = V943924 + 1. assign V651866 = V495584. assign V586604 = V021906 + 1. assign V459804 = V158741 - 1. assign V473019 = V581079 + 1. assign V451630 = V710258 + 1. assign V335904 = V356872. assign V955883 = V137904 - 1. assign V017169 = V335904. assign V280259 = V213788 + 1. assign V403480 = V513072 - 1. assign V818413 = V401765. assign V794072 = V416503 + 1. assign V101310 = V230604 + 1. assign V675820 = V190509 + 1. assign V062355 = V851001 + 1. assign V710258 = V831410 - 1. assign V238315 = V038129 + 1. assign V311990 = V037430 - 1. assign V845235 = V735032 + 1. assign V069048 = V967766 - 1. assign V733208 = V416503 - 1. assign V356872 = V038129 - 1. assign V929426 = V784387 + 1. assign V782703 = V190509 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV104963 = 4;\n\nFrom these direct assignment(s), we have: \nV540227 = V104963 = 4;\nNo other variables can be derived from V540227;\nNo other variables can be derived from V104963;\n\nNow we have done all the calculations. Derived variables are:\nV104963 = 4;\nV540227 = 4;\n\nNow we have finished this problem. ANSWER:\nV104963, V540227\n", "role": "assistant" } ]

[ "V703440" ]

[ { "content": "<context>\nassign V095054 = V120907. assign V300081 = V870941. assign V353006 = V587642 + 1. assign V651637 = V300081 - 1. assign V011090 = V874445. assign V687461 = V876792. assign V536833 = V014294 - 1. assign V504637 = V273937. assign V334983 = V863271. assign V544027 = V247257 + 1. assign V095721 = V483804. assign V881473 = V728895 - 1. assign V575248 = V558806 + 1. assign V203609 = V428323. assign V014565 = V439968. assign V497841 = V577017. assign V893214 = V001596 + 1. assign V268527 = V701657 + 1. assign V050484 = V189793 - 1. assign V958118 = V703901. assign V703901 = V998222 + 1. assign V029453 = V426305 - 1. assign V124139 = V392576. assign V426290 = V735817 - 1. assign V095185 = V874332 + 1. assign V392576 = V452808 - 1. assign V815278 = V241338 - 1. assign V117140 = V157293 - 1. assign V267626 = V981866. assign V935410 = V387330 + 1. assign V679773 = V093583 - 1. assign V735817 = V231680. assign V316690 = V241851 + 1. assign V120907 = V428323 - 1. assign V928160 = V514772 + 1. assign V214676 = V464729. assign V503939 = V231680 - 1. assign V430363 = V544027 + 1. assign V816845 = V464729. assign V946153 = V536833 + 1. assign V001596 = V348390 + 1. assign V728895 = V241851 - 1. assign V368621 = V676259 - 1. assign V577017 = V271528 - 1. assign V286680 = V577017 + 1. assign V611782 = V296851 + 1. assign V369972 = V118294 - 1. assign V493300 = V536833 - 1. assign V597763 = V231680 + 1. assign V698126 = V157293. assign V567993 = V998222 - 1. assign V247257 = V735817. assign V143688 = V095721 + 1. assign V662685 = V426290 + 1. assign V184724 = V671049. assign V514772 = V014294. assign V134455 = V558806 + 1. assign V803923 = V493300 + 1. assign V505315 = V231680 + 1. assign V558806 = V428323 - 1. assign V131834 = V439968 + 1. assign V572793 = V271528 + 1. assign V348390 = V271528. assign V869458 = V876792. assign V464729 = V955667 + 1. assign V296851 = V120907 + 1. assign V165449 = V014294. assign V703440 = 7. assign V605152 = V043001 - 1. assign V225662 = V577017 - 1. assign V019086 = V428323 - 1. assign V900189 = V554909 + 1. assign V210748 = V946153. assign V701657 = V426290 + 1. assign V438875 = V933077. assign V515870 = V540767 - 1. assign V376053 = V439104 + 1. assign V212139 = V203609 + 1. assign V800245 = V663605 - 1. assign V663605 = V387330. assign V875929 = V703440 + 1. assign V942393 = V019086. assign V484894 = V331830 + 1. assign V846771 = V928160 - 1. assign V981866 = V630177 - 1. assign V110545 = V273937 - 1. assign V439104 = V392576 - 1. assign V870941 = V231680 - 1. assign V973781 = V660818 - 1. assign V350678 = V241851 + 1. assign V671049 = V147621. assign V033766 = V118294 - 1. assign V387006 = V577017 - 1. assign V118294 = V428323 + 1. assign V978220 = V014294. assign V387330 = V231680. assign V970282 = V493300 - 1. assign V863271 = V941644. assign V874445 = V120907. assign V014294 = V231680 - 1. assign V816324 = V231680. assign V157293 = V973781. assign V080133 = V095054 + 1. assign V950223 = V225662 - 1. assign V768120 = V426305 - 1. assign V271528 = V428323 + 1. assign V630177 = V554909 + 1. assign V459411 = V210748. assign V093583 = V053685 - 1. assign V087694 = V649381 + 1. assign V941644 = V050484. assign V043001 = V082154 - 1. assign V113497 = V575248 + 1. assign V695323 = V426290. assign V527792 = V147621. assign V178211 = V558806. assign V147621 = V428323. assign V649381 = V080133 - 1. assign V231680 = V120907. assign V014219 = V497841. assign V788439 = V428323 + 1. assign V540767 = V118294 - 1. assign V183943 = V728895 + 1. assign V819269 = V143688 + 1. assign V139781 = V846771. assign V998222 = V178211 + 1. assign V241338 = V120907 - 1. assign V952568 = V605152. assign V037681 = V452808 + 1. assign V426477 = V214676 + 1. assign V483804 = V231680 + 1. assign V903195 = V029360 - 1. assign V870465 = V514772 + 1. assign V082154 = V558806 - 1. assign V876792 = V019086 + 1. assign V572899 = V597763. assign V423425 = V536833 - 1. assign V676259 = V157293 + 1. assign V528050 = V271528 + 1. assign V874332 = V493300. assign V288464 = V080133 - 1. assign V225684 = V273937 - 1. assign V933077 = V660818 - 1. assign V410019 = V970282. assign V273937 = V095054 + 1. assign V955667 = V189793 + 1. assign V808190 = V819269 + 1. assign V587642 = V288464. assign V836164 = V973781. assign V331830 = V147621 - 1. assign V452808 = V870941. assign V660818 = V671049 - 1. assign V557448 = V900189. assign V029360 = V273937. assign V184073 = V928160. assign V562894 = V483804. assign V024207 = V231680 + 1. assign V319107 = V118294 + 1. assign V439968 = V212139 + 1. assign V621687 = V271528 - 1. assign V084453 = V300081 + 1. assign V304459 = V241851 + 1. assign V767935 = V210748 + 1. assign V554909 = V660818 + 1. assign V426305 = V231680 - 1. assign V241851 = V428323 - 1. assign V255002 = V816324 + 1. assign V861061 = V334983. assign V053685 = V350678 - 1. assign V189793 = V084453 - 1. assign V506132 = V567993. assign V220569 = V024207 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V095054 = V120907. assign V300081 = V870941. assign V353006 = V587642 + 1. assign V651637 = V300081 - 1. assign V011090 = V874445. assign V687461 = V876792. assign V536833 = V014294 - 1. assign V504637 = V273937. assign V334983 = V863271. assign V544027 = V247257 + 1. assign V095721 = V483804. assign V881473 = V728895 - 1. assign V575248 = V558806 + 1. assign V203609 = V428323. assign V014565 = V439968. assign V497841 = V577017. assign V893214 = V001596 + 1. assign V268527 = V701657 + 1. assign V050484 = V189793 - 1. assign V958118 = V703901. assign V703901 = V998222 + 1. assign V029453 = V426305 - 1. assign V124139 = V392576. assign V426290 = V735817 - 1. assign V095185 = V874332 + 1. assign V392576 = V452808 - 1. assign V815278 = V241338 - 1. assign V117140 = V157293 - 1. assign V267626 = V981866. assign V935410 = V387330 + 1. assign V679773 = V093583 - 1. assign V735817 = V231680. assign V316690 = V241851 + 1. assign V120907 = V428323 - 1. assign V928160 = V514772 + 1. assign V214676 = V464729. assign V503939 = V231680 - 1. assign V430363 = V544027 + 1. assign V816845 = V464729. assign V946153 = V536833 + 1. assign V001596 = V348390 + 1. assign V728895 = V241851 - 1. assign V368621 = V676259 - 1. assign V577017 = V271528 - 1. assign V286680 = V577017 + 1. assign V611782 = V296851 + 1. assign V369972 = V118294 - 1. assign V493300 = V536833 - 1. assign V597763 = V231680 + 1. assign V698126 = V157293. assign V567993 = V998222 - 1. assign V247257 = V735817. assign V143688 = V095721 + 1. assign V662685 = V426290 + 1. assign V184724 = V671049. assign V514772 = V014294. assign V134455 = V558806 + 1. assign V803923 = V493300 + 1. assign V505315 = V231680 + 1. assign V558806 = V428323 - 1. assign V131834 = V439968 + 1. assign V572793 = V271528 + 1. assign V348390 = V271528. assign V869458 = V876792. assign V464729 = V955667 + 1. assign V296851 = V120907 + 1. assign V165449 = V014294. assign V703440 = 7. assign V605152 = V043001 - 1. assign V225662 = V577017 - 1. assign V019086 = V428323 - 1. assign V900189 = V554909 + 1. assign V210748 = V946153. assign V701657 = V426290 + 1. assign V438875 = V933077. assign V515870 = V540767 - 1. assign V376053 = V439104 + 1. assign V212139 = V203609 + 1. assign V800245 = V663605 - 1. assign V663605 = V387330. assign V875929 = V703440 + 1. assign V942393 = V019086. assign V484894 = V331830 + 1. assign V846771 = V928160 - 1. assign V981866 = V630177 - 1. assign V110545 = V273937 - 1. assign V439104 = V392576 - 1. assign V870941 = V231680 - 1. assign V973781 = V660818 - 1. assign V350678 = V241851 + 1. assign V671049 = V147621. assign V033766 = V118294 - 1. assign V387006 = V577017 - 1. assign V118294 = V428323 + 1. assign V978220 = V014294. assign V387330 = V231680. assign V970282 = V493300 - 1. assign V863271 = V941644. assign V874445 = V120907. assign V014294 = V231680 - 1. assign V816324 = V231680. assign V157293 = V973781. assign V080133 = V095054 + 1. assign V950223 = V225662 - 1. assign V768120 = V426305 - 1. assign V271528 = V428323 + 1. assign V630177 = V554909 + 1. assign V459411 = V210748. assign V093583 = V053685 - 1. assign V087694 = V649381 + 1. assign V941644 = V050484. assign V043001 = V082154 - 1. assign V113497 = V575248 + 1. assign V695323 = V426290. assign V527792 = V147621. assign V178211 = V558806. assign V147621 = V428323. assign V649381 = V080133 - 1. assign V231680 = V120907. assign V014219 = V497841. assign V788439 = V428323 + 1. assign V540767 = V118294 - 1. assign V183943 = V728895 + 1. assign V819269 = V143688 + 1. assign V139781 = V846771. assign V998222 = V178211 + 1. assign V241338 = V120907 - 1. assign V952568 = V605152. assign V037681 = V452808 + 1. assign V426477 = V214676 + 1. assign V483804 = V231680 + 1. assign V903195 = V029360 - 1. assign V870465 = V514772 + 1. assign V082154 = V558806 - 1. assign V876792 = V019086 + 1. assign V572899 = V597763. assign V423425 = V536833 - 1. assign V676259 = V157293 + 1. assign V528050 = V271528 + 1. assign V874332 = V493300. assign V288464 = V080133 - 1. assign V225684 = V273937 - 1. assign V933077 = V660818 - 1. assign V410019 = V970282. assign V273937 = V095054 + 1. assign V955667 = V189793 + 1. assign V808190 = V819269 + 1. assign V587642 = V288464. assign V836164 = V973781. assign V331830 = V147621 - 1. assign V452808 = V870941. assign V660818 = V671049 - 1. assign V557448 = V900189. assign V029360 = V273937. assign V184073 = V928160. assign V562894 = V483804. assign V024207 = V231680 + 1. assign V319107 = V118294 + 1. assign V439968 = V212139 + 1. assign V621687 = V271528 - 1. assign V084453 = V300081 + 1. assign V304459 = V241851 + 1. assign V767935 = V210748 + 1. assign V554909 = V660818 + 1. assign V426305 = V231680 - 1. assign V241851 = V428323 - 1. assign V255002 = V816324 + 1. assign V861061 = V334983. assign V053685 = V350678 - 1. assign V189793 = V084453 - 1. assign V506132 = V567993. assign V220569 = V024207 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV703440 = 7;\n\nFrom these direct assignment(s), we have: \nV875929 = V703440 + 1 = 7 + 1 =8;\nNo other variables can be derived from V875929;\nNo other variables can be derived from V703440;\n\nNow we have done all the calculations. Derived variables are:\nV703440 = 7;\nV875929 = 8;\n\nNow we have finished this problem. ANSWER:\nV703440\n", "role": "assistant" } ]

[ "V667386" ]

[ { "content": "<context>\nassign V470625 = V451188 - 1. assign V786638 = V969184. assign V539984 = V606270. assign V764425 = V817595 + 1. assign V251902 = V931288 - 1. assign V823487 = V279737. assign V792049 = V637897 + 1. assign V389166 = V390832 - 1. assign V247455 = V334035 - 1. assign V702391 = V114202 + 1. assign V473870 = V677037. assign V322657 = V935426. assign V466247 = V670959 + 1. assign V989127 = V152477 - 1. assign V800211 = V023341. assign V969184 = V817595 + 1. assign V979215 = V140157 - 1. assign V721699 = V284611 + 1. assign V044736 = V374276 - 1. assign V817595 = V302736 - 1. assign V390832 = V756771 - 1. assign V832583 = V777537 + 1. assign V711788 = V883019. assign V015314 = V288222. assign V701829 = V602320 - 1. assign V293939 = V436945 + 1. assign V544260 = V670959. assign V294740 = V301811 + 1. assign V606270 = V643390 - 1. assign V912207 = V969184. assign V820580 = V473870. assign V279737 = V334035. assign V945416 = V513981 + 1. assign V477345 = V068681 + 1. assign V562025 = V023341 + 1. assign V711376 = V023183. assign V054731 = V302736 + 1. assign V633271 = V477345 + 1. assign V800172 = V247455 - 1. assign V741430 = V510507 + 1. assign V140157 = V133203 - 1. assign V374276 = V436945. assign V158486 = V931288 + 1. assign V487366 = V140157 - 1. assign V883019 = V605768 - 1. assign V861646 = V487366 + 1. assign V068681 = V293939 + 1. assign V988749 = V606270 - 1. assign V977065 = V455534. assign V584259 = V102211. assign V643390 = V279737 - 1. assign V710735 = V702391 - 1. assign V797781 = V962119. assign V815468 = V302736. assign V577962 = V364985. assign V151401 = V247455. assign V880116 = V487366 + 1. assign V777537 = V797781 + 1. assign V232742 = V703088. assign V264583 = V935426 - 1. assign V832318 = V653035. assign V446354 = V544260. assign V334035 = V756771 + 1. assign V627410 = V133203. assign V886952 = V334035 + 1. assign V436945 = V114202. assign V178357 = V703088. assign V747228 = V487366 + 1. assign V174430 = V131154. assign V639650 = V178357 - 1. assign V027599 = V279737 - 1. assign V735787 = V011493 + 1. assign V622715 = V334035. assign V621694 = V839918 - 1. assign V102433 = V436945 - 1. assign V072389 = V364985 - 1. assign V133203 = V247455 - 1. assign V042222 = V102433 - 1. assign V204420 = V023183 + 1. assign V648559 = V221451 + 1. assign V193601 = V823487 + 1. assign V023341 = V707038. assign V429500 = V670959. assign V668947 = V962119 + 1. assign V427518 = V703088 + 1. assign V183987 = V656083 + 1. assign V353265 = V701829. assign V131498 = V711788 - 1. assign V152477 = V513981 + 1. assign V880574 = V979616. assign V987381 = V030966. assign V122917 = V389166 + 1. assign V704609 = V756771 + 1. assign V302736 = V935426. assign V102211 = V792015 - 1. assign V336002 = V725939. assign V799058 = V962119 + 1. assign V674875 = V353265 - 1. assign V357887 = V284611 + 1. assign V619082 = V078174. assign V386301 = V839918 - 1. assign V501219 = V797781 - 1. assign V107225 = V643390. assign V356286 = V140157 + 1. assign V820387 = V820580 - 1. assign V423797 = V935426. assign V131154 = V606270 - 1. assign V513981 = V756771 + 1. assign V051225 = V429500 - 1. assign V458845 = V867801. assign V867801 = V102433. assign V935426 = V011493 + 1. assign V221451 = V466247 - 1. assign V011493 = V756771. assign V462904 = V764425 - 1. assign V753015 = V977065. assign V650308 = V815468 + 1. assign V071413 = V429500 + 1. assign V637897 = V390832 + 1. assign V792015 = V637897. assign V962119 = V279737 + 1. assign V030966 = V302736 - 1. assign V007827 = V539984 + 1. assign V078174 = V297246. assign V717983 = V436945 + 1. assign V736880 = V792015 + 1. assign V677037 = V962119 - 1. assign V653035 = V247455 - 1. assign V367785 = V707038 + 1. assign V162755 = V544260 + 1. assign V841242 = V510507 - 1. assign V725012 = V786638 + 1. assign V725939 = V668947 - 1. assign V236267 = V670959. assign V386171 = V364985 - 1. assign V510507 = V931288 - 1. assign V015878 = V711788 + 1. assign V284611 = V786638. assign V677211 = V356286 - 1. assign V451188 = V023183. assign V301811 = V389166 - 1. assign V174037 = V792015. assign V826690 = V544260 + 1. assign V673575 = V522583 - 1. assign V920985 = V667386 + 1. assign V158393 = V297246. assign V972946 = V797781 + 1. assign V522583 = V051225 - 1. assign V605768 = V390832 + 1. assign V371131 = V027599 - 1. assign V297246 = V935426. assign V707038 = V334035 - 1. assign V703088 = V279737. assign V288222 = V935426. assign V364985 = V513981 - 1. assign V839918 = V107225. assign V480901 = V042222 - 1. assign V319692 = V820580 - 1. assign V023183 = V302736 + 1. assign V643386 = V817595 - 1. assign V455534 = V390832 + 1. assign V956703 = V152477 - 1. assign V404447 = V462904. assign V602320 = V725939. assign V931288 = V817595. assign V979616 = V867801 + 1. assign V155114 = V735787 + 1. assign V656083 = V792049 - 1. assign V114202 = V962119. assign V456747 = V470625. assign V670959 = V334035. assign V667386 = 3.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V470625 = V451188 - 1. assign V786638 = V969184. assign V539984 = V606270. assign V764425 = V817595 + 1. assign V251902 = V931288 - 1. assign V823487 = V279737. assign V792049 = V637897 + 1. assign V389166 = V390832 - 1. assign V247455 = V334035 - 1. assign V702391 = V114202 + 1. assign V473870 = V677037. assign V322657 = V935426. assign V466247 = V670959 + 1. assign V989127 = V152477 - 1. assign V800211 = V023341. assign V969184 = V817595 + 1. assign V979215 = V140157 - 1. assign V721699 = V284611 + 1. assign V044736 = V374276 - 1. assign V817595 = V302736 - 1. assign V390832 = V756771 - 1. assign V832583 = V777537 + 1. assign V711788 = V883019. assign V015314 = V288222. assign V701829 = V602320 - 1. assign V293939 = V436945 + 1. assign V544260 = V670959. assign V294740 = V301811 + 1. assign V606270 = V643390 - 1. assign V912207 = V969184. assign V820580 = V473870. assign V279737 = V334035. assign V945416 = V513981 + 1. assign V477345 = V068681 + 1. assign V562025 = V023341 + 1. assign V711376 = V023183. assign V054731 = V302736 + 1. assign V633271 = V477345 + 1. assign V800172 = V247455 - 1. assign V741430 = V510507 + 1. assign V140157 = V133203 - 1. assign V374276 = V436945. assign V158486 = V931288 + 1. assign V487366 = V140157 - 1. assign V883019 = V605768 - 1. assign V861646 = V487366 + 1. assign V068681 = V293939 + 1. assign V988749 = V606270 - 1. assign V977065 = V455534. assign V584259 = V102211. assign V643390 = V279737 - 1. assign V710735 = V702391 - 1. assign V797781 = V962119. assign V815468 = V302736. assign V577962 = V364985. assign V151401 = V247455. assign V880116 = V487366 + 1. assign V777537 = V797781 + 1. assign V232742 = V703088. assign V264583 = V935426 - 1. assign V832318 = V653035. assign V446354 = V544260. assign V334035 = V756771 + 1. assign V627410 = V133203. assign V886952 = V334035 + 1. assign V436945 = V114202. assign V178357 = V703088. assign V747228 = V487366 + 1. assign V174430 = V131154. assign V639650 = V178357 - 1. assign V027599 = V279737 - 1. assign V735787 = V011493 + 1. assign V622715 = V334035. assign V621694 = V839918 - 1. assign V102433 = V436945 - 1. assign V072389 = V364985 - 1. assign V133203 = V247455 - 1. assign V042222 = V102433 - 1. assign V204420 = V023183 + 1. assign V648559 = V221451 + 1. assign V193601 = V823487 + 1. assign V023341 = V707038. assign V429500 = V670959. assign V668947 = V962119 + 1. assign V427518 = V703088 + 1. assign V183987 = V656083 + 1. assign V353265 = V701829. assign V131498 = V711788 - 1. assign V152477 = V513981 + 1. assign V880574 = V979616. assign V987381 = V030966. assign V122917 = V389166 + 1. assign V704609 = V756771 + 1. assign V302736 = V935426. assign V102211 = V792015 - 1. assign V336002 = V725939. assign V799058 = V962119 + 1. assign V674875 = V353265 - 1. assign V357887 = V284611 + 1. assign V619082 = V078174. assign V386301 = V839918 - 1. assign V501219 = V797781 - 1. assign V107225 = V643390. assign V356286 = V140157 + 1. assign V820387 = V820580 - 1. assign V423797 = V935426. assign V131154 = V606270 - 1. assign V513981 = V756771 + 1. assign V051225 = V429500 - 1. assign V458845 = V867801. assign V867801 = V102433. assign V935426 = V011493 + 1. assign V221451 = V466247 - 1. assign V011493 = V756771. assign V462904 = V764425 - 1. assign V753015 = V977065. assign V650308 = V815468 + 1. assign V071413 = V429500 + 1. assign V637897 = V390832 + 1. assign V792015 = V637897. assign V962119 = V279737 + 1. assign V030966 = V302736 - 1. assign V007827 = V539984 + 1. assign V078174 = V297246. assign V717983 = V436945 + 1. assign V736880 = V792015 + 1. assign V677037 = V962119 - 1. assign V653035 = V247455 - 1. assign V367785 = V707038 + 1. assign V162755 = V544260 + 1. assign V841242 = V510507 - 1. assign V725012 = V786638 + 1. assign V725939 = V668947 - 1. assign V236267 = V670959. assign V386171 = V364985 - 1. assign V510507 = V931288 - 1. assign V015878 = V711788 + 1. assign V284611 = V786638. assign V677211 = V356286 - 1. assign V451188 = V023183. assign V301811 = V389166 - 1. assign V174037 = V792015. assign V826690 = V544260 + 1. assign V673575 = V522583 - 1. assign V920985 = V667386 + 1. assign V158393 = V297246. assign V972946 = V797781 + 1. assign V522583 = V051225 - 1. assign V605768 = V390832 + 1. assign V371131 = V027599 - 1. assign V297246 = V935426. assign V707038 = V334035 - 1. assign V703088 = V279737. assign V288222 = V935426. assign V364985 = V513981 - 1. assign V839918 = V107225. assign V480901 = V042222 - 1. assign V319692 = V820580 - 1. assign V023183 = V302736 + 1. assign V643386 = V817595 - 1. assign V455534 = V390832 + 1. assign V956703 = V152477 - 1. assign V404447 = V462904. assign V602320 = V725939. assign V931288 = V817595. assign V979616 = V867801 + 1. assign V155114 = V735787 + 1. assign V656083 = V792049 - 1. assign V114202 = V962119. assign V456747 = V470625. assign V670959 = V334035. assign V667386 = 3.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV667386 = 3;\n\nFrom these direct assignment(s), we have: \nV920985 = V667386 + 1 = 3 + 1 =4;\nNo other variables can be derived from V920985;\nNo other variables can be derived from V667386;\n\nNow we have done all the calculations. Derived variables are:\nV667386 = 3;\nV920985 = 4;\n\nNow we have finished this problem. ANSWER:\nV667386\n", "role": "assistant" } ]

[ "V938412" ]

[ { "content": "<context>\nassign V028125 = V526442 - 1. assign V413852 = V869255. assign V636617 = V493939 + 1. assign V202947 = V528823. assign V478060 = V162312 - 1. assign V703249 = V913422 + 1. assign V714349 = V091940. assign V954580 = V684260 - 1. assign V098268 = V643341 + 1. assign V413002 = V172949 + 1. assign V010497 = V597675. assign V275448 = V528823 - 1. assign V882953 = V643341 - 1. assign V681039 = V720069 - 1. assign V643341 = V172949 - 1. assign V515740 = V200454. assign V597963 = V952575 + 1. assign V720069 = V702263. assign V014534 = V101900 - 1. assign V980655 = V310939. assign V676195 = V262189 - 1. assign V023364 = V239146 - 1. assign V091940 = V536788. assign V309935 = V202318. assign V689833 = V460335. assign V422440 = V797345 - 1. assign V335892 = V536788. assign V963040 = V719552 + 1. assign V702263 = V833563 - 1. assign V422596 = V940722 - 1. assign V466587 = V526442 + 1. assign V513462 = V138243. assign V882485 = V869255 + 1. assign V942607 = V091904 - 1. assign V709751 = V137064. assign V300132 = V200454. assign V218283 = V309935. assign V919664 = V216821 + 1. assign V790593 = V903731 - 1. assign V970191 = V855017 - 1. assign V791296 = V216821. assign V287148 = V422596 + 1. assign V684260 = V919664 - 1. assign V558544 = V684260 + 1. assign V573263 = V275448 + 1. assign V310939 = V172949 + 1. assign V014255 = V202318. assign V151220 = V101900 - 1. assign V200454 = V271258 - 1. assign V996547 = V869255 - 1. assign V057961 = V865159. assign V893962 = V300132 - 1. assign V216821 = V536788 - 1. assign V365928 = V361535 + 1. assign V598668 = V222167 - 1. assign V780245 = V300132 + 1. assign V597675 = V855017. assign V138372 = V882485 - 1. assign V373063 = V807153 - 1. assign V528823 = V239146 + 1. assign V162312 = V238483 + 1. assign V647979 = V719552 + 1. assign V480297 = V598668. assign V696320 = V222167 + 1. assign V493939 = V182489 + 1. assign V664413 = V218283 + 1. assign V361535 = V101900 - 1. assign V279918 = V893962 - 1. assign V707596 = V515034 - 1. assign V709740 = V919664 + 1. assign V642631 = V993015 - 1. assign V833563 = V216821 + 1. assign V281081 = V855017 + 1. assign V134776 = V869241. assign V137064 = V182489. assign V938412 = V183562 + 1. assign V947244 = V882953 - 1. assign V962110 = V999826. assign V642786 = V973219 - 1. assign V903731 = V271258 + 1. assign V997111 = V182489 + 1. assign V999826 = V238483 - 1. assign V994896 = V642786 + 1. assign V342249 = V780245 - 1. assign V913422 = V341597 + 1. assign V869255 = V833563. assign V937904 = V138243 + 1. assign V172949 = V222167. assign V565918 = V709740. assign V807153 = V162312. assign V096665 = V780245 - 1. assign V265279 = V300132. assign V080339 = V515034 - 1. assign V603215 = V373063. assign V938943 = V597675 - 1. assign V124967 = V709740. assign V707609 = V580356 - 1. assign V326017 = V807153. assign V940722 = V310939 + 1. assign V487766 = V091940 - 1. assign V500708 = V014534. assign V973219 = V480297. assign V061595 = V138243 - 1. assign V776802 = V940722 - 1. assign V769049 = V269947 - 1. assign V107602 = V373063 - 1. assign V580356 = V014534. assign V091904 = V997111 - 1. assign V341597 = V014534 + 1. assign V952575 = V536788. assign V551133 = V903731 - 1. assign V355784 = V864276. assign V528545 = V598668 - 1. assign V409065 = V422440. assign V460335 = V212190 + 1. assign V713256 = V162312 + 1. assign V222167 = V536788 - 1. assign V974227 = V952575 + 1. assign V182489 = V643341. assign V269947 = V855017 - 1. assign V855017 = V833563. assign V000802 = V101900. assign V338024 = V869241 - 1. assign V819229 = V734567 + 1. assign V392952 = V137064. assign V237794 = V624532 - 1. assign V342559 = V707609 + 1. assign V183562 = 3. assign V271258 = V101900 - 1. assign V993015 = V222167 + 1. assign V592337 = V709740. assign V501145 = V373063 - 1. assign V624532 = V999826 - 1. assign V734567 = V335892 - 1. assign V526442 = V536788. assign V262189 = V597675 - 1. assign V558939 = V597675 + 1. assign V704206 = V342249 - 1. assign V869241 = V200454. assign V900058 = V702263 + 1. assign V483734 = V523798 + 1. assign V719552 = V833563. assign V239146 = V597963. assign V060222 = V528545. assign V138243 = V597675 + 1. assign V864276 = V597963. assign V513709 = V714737. assign V641534 = V919664 - 1. assign V750435 = V624532 + 1. assign V900391 = V138372 + 1. assign V375211 = V702263. assign V531970 = V597963 + 1. assign V204473 = V993015 - 1. assign V238483 = V222167 - 1. assign V453471 = V702263. assign V878000 = V310939. assign V212190 = V702263 + 1. assign V500371 = V099931 + 1. assign V847928 = V903731 - 1. assign V406981 = V361535 - 1. assign V536788 = V101900 - 1. assign V099931 = V919664 - 1. assign V865159 = V239146. assign V515034 = V869241 + 1. assign V704586 = V269947 - 1. assign V797345 = V216821 - 1. assign V481563 = V222167. assign V202318 = V413002 - 1. assign V274642 = V487766. assign V523798 = V341597 - 1. assign V714737 = V954580 - 1. assign V464810 = V720069.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V028125 = V526442 - 1. assign V413852 = V869255. assign V636617 = V493939 + 1. assign V202947 = V528823. assign V478060 = V162312 - 1. assign V703249 = V913422 + 1. assign V714349 = V091940. assign V954580 = V684260 - 1. assign V098268 = V643341 + 1. assign V413002 = V172949 + 1. assign V010497 = V597675. assign V275448 = V528823 - 1. assign V882953 = V643341 - 1. assign V681039 = V720069 - 1. assign V643341 = V172949 - 1. assign V515740 = V200454. assign V597963 = V952575 + 1. assign V720069 = V702263. assign V014534 = V101900 - 1. assign V980655 = V310939. assign V676195 = V262189 - 1. assign V023364 = V239146 - 1. assign V091940 = V536788. assign V309935 = V202318. assign V689833 = V460335. assign V422440 = V797345 - 1. assign V335892 = V536788. assign V963040 = V719552 + 1. assign V702263 = V833563 - 1. assign V422596 = V940722 - 1. assign V466587 = V526442 + 1. assign V513462 = V138243. assign V882485 = V869255 + 1. assign V942607 = V091904 - 1. assign V709751 = V137064. assign V300132 = V200454. assign V218283 = V309935. assign V919664 = V216821 + 1. assign V790593 = V903731 - 1. assign V970191 = V855017 - 1. assign V791296 = V216821. assign V287148 = V422596 + 1. assign V684260 = V919664 - 1. assign V558544 = V684260 + 1. assign V573263 = V275448 + 1. assign V310939 = V172949 + 1. assign V014255 = V202318. assign V151220 = V101900 - 1. assign V200454 = V271258 - 1. assign V996547 = V869255 - 1. assign V057961 = V865159. assign V893962 = V300132 - 1. assign V216821 = V536788 - 1. assign V365928 = V361535 + 1. assign V598668 = V222167 - 1. assign V780245 = V300132 + 1. assign V597675 = V855017. assign V138372 = V882485 - 1. assign V373063 = V807153 - 1. assign V528823 = V239146 + 1. assign V162312 = V238483 + 1. assign V647979 = V719552 + 1. assign V480297 = V598668. assign V696320 = V222167 + 1. assign V493939 = V182489 + 1. assign V664413 = V218283 + 1. assign V361535 = V101900 - 1. assign V279918 = V893962 - 1. assign V707596 = V515034 - 1. assign V709740 = V919664 + 1. assign V642631 = V993015 - 1. assign V833563 = V216821 + 1. assign V281081 = V855017 + 1. assign V134776 = V869241. assign V137064 = V182489. assign V938412 = V183562 + 1. assign V947244 = V882953 - 1. assign V962110 = V999826. assign V642786 = V973219 - 1. assign V903731 = V271258 + 1. assign V997111 = V182489 + 1. assign V999826 = V238483 - 1. assign V994896 = V642786 + 1. assign V342249 = V780245 - 1. assign V913422 = V341597 + 1. assign V869255 = V833563. assign V937904 = V138243 + 1. assign V172949 = V222167. assign V565918 = V709740. assign V807153 = V162312. assign V096665 = V780245 - 1. assign V265279 = V300132. assign V080339 = V515034 - 1. assign V603215 = V373063. assign V938943 = V597675 - 1. assign V124967 = V709740. assign V707609 = V580356 - 1. assign V326017 = V807153. assign V940722 = V310939 + 1. assign V487766 = V091940 - 1. assign V500708 = V014534. assign V973219 = V480297. assign V061595 = V138243 - 1. assign V776802 = V940722 - 1. assign V769049 = V269947 - 1. assign V107602 = V373063 - 1. assign V580356 = V014534. assign V091904 = V997111 - 1. assign V341597 = V014534 + 1. assign V952575 = V536788. assign V551133 = V903731 - 1. assign V355784 = V864276. assign V528545 = V598668 - 1. assign V409065 = V422440. assign V460335 = V212190 + 1. assign V713256 = V162312 + 1. assign V222167 = V536788 - 1. assign V974227 = V952575 + 1. assign V182489 = V643341. assign V269947 = V855017 - 1. assign V855017 = V833563. assign V000802 = V101900. assign V338024 = V869241 - 1. assign V819229 = V734567 + 1. assign V392952 = V137064. assign V237794 = V624532 - 1. assign V342559 = V707609 + 1. assign V183562 = 3. assign V271258 = V101900 - 1. assign V993015 = V222167 + 1. assign V592337 = V709740. assign V501145 = V373063 - 1. assign V624532 = V999826 - 1. assign V734567 = V335892 - 1. assign V526442 = V536788. assign V262189 = V597675 - 1. assign V558939 = V597675 + 1. assign V704206 = V342249 - 1. assign V869241 = V200454. assign V900058 = V702263 + 1. assign V483734 = V523798 + 1. assign V719552 = V833563. assign V239146 = V597963. assign V060222 = V528545. assign V138243 = V597675 + 1. assign V864276 = V597963. assign V513709 = V714737. assign V641534 = V919664 - 1. assign V750435 = V624532 + 1. assign V900391 = V138372 + 1. assign V375211 = V702263. assign V531970 = V597963 + 1. assign V204473 = V993015 - 1. assign V238483 = V222167 - 1. assign V453471 = V702263. assign V878000 = V310939. assign V212190 = V702263 + 1. assign V500371 = V099931 + 1. assign V847928 = V903731 - 1. assign V406981 = V361535 - 1. assign V536788 = V101900 - 1. assign V099931 = V919664 - 1. assign V865159 = V239146. assign V515034 = V869241 + 1. assign V704586 = V269947 - 1. assign V797345 = V216821 - 1. assign V481563 = V222167. assign V202318 = V413002 - 1. assign V274642 = V487766. assign V523798 = V341597 - 1. assign V714737 = V954580 - 1. assign V464810 = V720069.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV183562 = 3;\n\nFrom these direct assignment(s), we have: \nV938412 = V183562 + 1 = 3 + 1 =4;\nNo other variables can be derived from V938412;\nNo other variables can be derived from V183562;\n\nNow we have done all the calculations. Derived variables are:\nV183562 = 3;\nV938412 = 4;\n\nNow we have finished this problem. ANSWER:\nV938412\n", "role": "assistant" } ]

[ "V918196" ]

[ { "content": "<context>\nassign V921586 = V970898 + 1. assign V671099 = V130312 - 1. assign V807148 = V216604 - 1. assign V739941 = V307821 - 1. assign V965478 = V758714 + 1. assign V521371 = V130312 + 1. assign V304403 = V159041 - 1. assign V902345 = V627642. assign V977741 = V318100 - 1. assign V977808 = V182805. assign V903430 = V130312 - 1. assign V010240 = V995819 + 1. assign V027107 = V902345 + 1. assign V361393 = V102653 + 1. assign V862354 = V838756 + 1. assign V276781 = V101487. assign V318100 = V938561 - 1. assign V635564 = V759527 + 1. assign V927229 = V541163 - 1. assign V507191 = V689328. assign V398068 = V950323 - 1. assign V883111 = V010463 - 1. assign V738838 = V877638 + 1. assign V664556 = V101487 + 1. assign V938561 = V038862 + 1. assign V933257 = V184147 - 1. assign V666032 = V051579 - 1. assign V207905 = V102653 - 1. assign V976617 = V666032 - 1. assign V350685 = V480350. assign V599587 = V250380 + 1. assign V689328 = V887237. assign V894282 = V010463 - 1. assign V534476 = V812825 + 1. assign V814437 = V938561 + 1. assign V940671 = V532829. assign V918196 = 1. assign V737517 = V101487 + 1. assign V236448 = V919538 - 1. assign V959218 = V781758 + 1. assign V283889 = V142790 + 1. assign V291714 = V541280. assign V532829 = V307821 + 1. assign V331813 = V938561 + 1. assign V963842 = V331813 + 1. assign V995819 = V940671. assign V330891 = V759527 + 1. assign V327679 = V480350 - 1. assign V627642 = V541280 + 1. assign V130312 = V635564 - 1. assign V101487 = V940671 - 1. assign V411775 = V691838 - 1. assign V541163 = V921586 - 1. assign V307821 = V635564 - 1. assign V427747 = V551617 - 1. assign V644526 = V726387 - 1. assign V048290 = V101487. assign V471111 = V423241. assign V228369 = V877638 + 1. assign V372247 = V507254. assign V337336 = V919538. assign V803095 = V838756. assign V447738 = V423241 - 1. assign V159041 = V995819 - 1. assign V683884 = V710514 + 1. assign V584021 = V758714 - 1. assign V350921 = V439713 + 1. assign V726387 = V318100 - 1. assign V093480 = V307821 + 1. assign V051579 = V737517 - 1. assign V482257 = V759527 + 1. assign V542727 = V541280 + 1. assign V666465 = V372247. assign V038862 = V541280 - 1. assign V919538 = V532829 + 1. assign V257421 = V048290. assign V835359 = V250380. assign V781758 = V228369 - 1. assign V540170 = V070988 - 1. assign V018363 = V627642. assign V758714 = V739941 + 1. assign V750972 = V521371 - 1. assign V350408 = V407130 + 1. assign V877638 = V627642. assign V193839 = V900517. assign V142790 = V541280 - 1. assign V263193 = V165976 - 1. assign V858957 = V330891 + 1. assign V970056 = V940671 - 1. assign V707495 = V507191 + 1. assign V903079 = V918196 - 1. assign V001987 = V635564 - 1. assign V235522 = V814437 - 1. assign V507254 = V699456. assign V466111 = V963842 - 1. assign V990488 = V216604. assign V812825 = V130312 + 1. assign V184147 = V482257. assign V436262 = V017247 - 1. assign V606958 = V671099 + 1. assign V353423 = V165976 - 1. assign V216090 = V257421. assign V213342 = V361393 + 1. assign V695724 = V940671. assign V464527 = V710514 + 1. assign V900517 = V635564. assign V070988 = V165677 - 1. assign V982625 = V130312 + 1. assign V070175 = V471111 - 1. assign V369066 = V938561 - 1. assign V279924 = V627642. assign V046401 = V427137. assign V541280 = V635564 + 1. assign V742111 = V532829. assign V800073 = V507191 + 1. assign V527108 = V671099 + 1. assign V216604 = V689328 - 1. assign V409921 = V521371 - 1. assign V924984 = V703552 + 1. assign V970898 = V584021 + 1. assign V395456 = V409921. assign V551617 = V216604 + 1. assign V159252 = V372247. assign V103766 = V699456. assign V480350 = V010463 + 1. assign V427137 = V216604 - 1. assign V326749 = V507191 - 1. assign V950323 = V048290. assign V748432 = V248258. assign V423241 = V165677 + 1. assign V501931 = V283889 - 1. assign V838756 = V758714. assign V057146 = V977741. assign V564377 = V940671. assign V113987 = V982625 + 1. assign V250380 = V142790 + 1. assign V435488 = V551617 + 1. assign V072354 = V726387. assign V017247 = V038862 + 1. assign V248258 = V551617 - 1. assign V106851 = V689328. assign V422116 = V691838. assign V846605 = V683884. assign V212845 = V541280 - 1. assign V165677 = V130312 + 1. assign V289425 = V418842 - 1. assign V391827 = V995819 + 1. assign V710514 = V758714 - 1. assign V310331 = V235522. assign V010463 = V330891 + 1. assign V561602 = V213511 + 1. assign V699456 = V742111 + 1. assign V601888 = V551617 - 1. assign V740778 = V291714. assign V887237 = V739941 - 1. assign V194262 = V900517. assign V704331 = V750972 + 1. assign V182805 = V439713. assign V400709 = V212845 + 1. assign V165976 = V883111 + 1. assign V475911 = V812825 - 1. assign V439713 = V635564 - 1. assign V407130 = V542727 + 1. assign V213511 = V475911 + 1. assign V217633 = V894282 - 1. assign V750229 = V982625 + 1. assign V585701 = V887237 - 1. assign V703552 = V970898 - 1. assign V691838 = V527108 - 1. assign V418842 = V814437. assign V145454 = V159041. assign V102653 = V130312 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V921586 = V970898 + 1. assign V671099 = V130312 - 1. assign V807148 = V216604 - 1. assign V739941 = V307821 - 1. assign V965478 = V758714 + 1. assign V521371 = V130312 + 1. assign V304403 = V159041 - 1. assign V902345 = V627642. assign V977741 = V318100 - 1. assign V977808 = V182805. assign V903430 = V130312 - 1. assign V010240 = V995819 + 1. assign V027107 = V902345 + 1. assign V361393 = V102653 + 1. assign V862354 = V838756 + 1. assign V276781 = V101487. assign V318100 = V938561 - 1. assign V635564 = V759527 + 1. assign V927229 = V541163 - 1. assign V507191 = V689328. assign V398068 = V950323 - 1. assign V883111 = V010463 - 1. assign V738838 = V877638 + 1. assign V664556 = V101487 + 1. assign V938561 = V038862 + 1. assign V933257 = V184147 - 1. assign V666032 = V051579 - 1. assign V207905 = V102653 - 1. assign V976617 = V666032 - 1. assign V350685 = V480350. assign V599587 = V250380 + 1. assign V689328 = V887237. assign V894282 = V010463 - 1. assign V534476 = V812825 + 1. assign V814437 = V938561 + 1. assign V940671 = V532829. assign V918196 = 1. assign V737517 = V101487 + 1. assign V236448 = V919538 - 1. assign V959218 = V781758 + 1. assign V283889 = V142790 + 1. assign V291714 = V541280. assign V532829 = V307821 + 1. assign V331813 = V938561 + 1. assign V963842 = V331813 + 1. assign V995819 = V940671. assign V330891 = V759527 + 1. assign V327679 = V480350 - 1. assign V627642 = V541280 + 1. assign V130312 = V635564 - 1. assign V101487 = V940671 - 1. assign V411775 = V691838 - 1. assign V541163 = V921586 - 1. assign V307821 = V635564 - 1. assign V427747 = V551617 - 1. assign V644526 = V726387 - 1. assign V048290 = V101487. assign V471111 = V423241. assign V228369 = V877638 + 1. assign V372247 = V507254. assign V337336 = V919538. assign V803095 = V838756. assign V447738 = V423241 - 1. assign V159041 = V995819 - 1. assign V683884 = V710514 + 1. assign V584021 = V758714 - 1. assign V350921 = V439713 + 1. assign V726387 = V318100 - 1. assign V093480 = V307821 + 1. assign V051579 = V737517 - 1. assign V482257 = V759527 + 1. assign V542727 = V541280 + 1. assign V666465 = V372247. assign V038862 = V541280 - 1. assign V919538 = V532829 + 1. assign V257421 = V048290. assign V835359 = V250380. assign V781758 = V228369 - 1. assign V540170 = V070988 - 1. assign V018363 = V627642. assign V758714 = V739941 + 1. assign V750972 = V521371 - 1. assign V350408 = V407130 + 1. assign V877638 = V627642. assign V193839 = V900517. assign V142790 = V541280 - 1. assign V263193 = V165976 - 1. assign V858957 = V330891 + 1. assign V970056 = V940671 - 1. assign V707495 = V507191 + 1. assign V903079 = V918196 - 1. assign V001987 = V635564 - 1. assign V235522 = V814437 - 1. assign V507254 = V699456. assign V466111 = V963842 - 1. assign V990488 = V216604. assign V812825 = V130312 + 1. assign V184147 = V482257. assign V436262 = V017247 - 1. assign V606958 = V671099 + 1. assign V353423 = V165976 - 1. assign V216090 = V257421. assign V213342 = V361393 + 1. assign V695724 = V940671. assign V464527 = V710514 + 1. assign V900517 = V635564. assign V070988 = V165677 - 1. assign V982625 = V130312 + 1. assign V070175 = V471111 - 1. assign V369066 = V938561 - 1. assign V279924 = V627642. assign V046401 = V427137. assign V541280 = V635564 + 1. assign V742111 = V532829. assign V800073 = V507191 + 1. assign V527108 = V671099 + 1. assign V216604 = V689328 - 1. assign V409921 = V521371 - 1. assign V924984 = V703552 + 1. assign V970898 = V584021 + 1. assign V395456 = V409921. assign V551617 = V216604 + 1. assign V159252 = V372247. assign V103766 = V699456. assign V480350 = V010463 + 1. assign V427137 = V216604 - 1. assign V326749 = V507191 - 1. assign V950323 = V048290. assign V748432 = V248258. assign V423241 = V165677 + 1. assign V501931 = V283889 - 1. assign V838756 = V758714. assign V057146 = V977741. assign V564377 = V940671. assign V113987 = V982625 + 1. assign V250380 = V142790 + 1. assign V435488 = V551617 + 1. assign V072354 = V726387. assign V017247 = V038862 + 1. assign V248258 = V551617 - 1. assign V106851 = V689328. assign V422116 = V691838. assign V846605 = V683884. assign V212845 = V541280 - 1. assign V165677 = V130312 + 1. assign V289425 = V418842 - 1. assign V391827 = V995819 + 1. assign V710514 = V758714 - 1. assign V310331 = V235522. assign V010463 = V330891 + 1. assign V561602 = V213511 + 1. assign V699456 = V742111 + 1. assign V601888 = V551617 - 1. assign V740778 = V291714. assign V887237 = V739941 - 1. assign V194262 = V900517. assign V704331 = V750972 + 1. assign V182805 = V439713. assign V400709 = V212845 + 1. assign V165976 = V883111 + 1. assign V475911 = V812825 - 1. assign V439713 = V635564 - 1. assign V407130 = V542727 + 1. assign V213511 = V475911 + 1. assign V217633 = V894282 - 1. assign V750229 = V982625 + 1. assign V585701 = V887237 - 1. assign V703552 = V970898 - 1. assign V691838 = V527108 - 1. assign V418842 = V814437. assign V145454 = V159041. assign V102653 = V130312 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV918196 = 1;\n\nFrom these direct assignment(s), we have: \nV903079 = V918196 - 1 = 1 - 1 =0;\nNo other variables can be derived from V903079;\nNo other variables can be derived from V918196;\n\nNow we have done all the calculations. Derived variables are:\nV918196 = 1;\nV903079 = 0;\n\nNow we have finished this problem. ANSWER:\nV918196\n", "role": "assistant" } ]

[ "V769193" ]

[ { "content": "<context>\nassign V871847 = V646303. assign V257576 = V403060 - 1. assign V828846 = V563302 + 1. assign V713661 = V853257 + 1. assign V803488 = V295755. assign V541636 = V336443 + 1. assign V438241 = V157776 - 1. assign V759713 = V646684 - 1. assign V716935 = V841763. assign V386899 = V885966. assign V175431 = V428895 + 1. assign V115079 = V847782 + 1. assign V606711 = V303404. assign V066858 = V295755 - 1. assign V135489 = V124686 - 1. assign V530697 = V946434. assign V829596 = V527038 - 1. assign V769193 = 0. assign V137296 = V157776. assign V159284 = V846823 + 1. assign V813886 = V623655 + 1. assign V103831 = V711743 + 1. assign V885966 = V946434. assign V409280 = V175431 + 1. assign V402476 = V235321 + 1. assign V456275 = V196209 - 1. assign V035720 = V646684 - 1. assign V661806 = V531829 - 1. assign V652001 = V646684 - 1. assign V589116 = V165861 + 1. assign V381703 = V073325 + 1. assign V411290 = V563302. assign V711743 = V484451. assign V022622 = V713237 + 1. assign V966391 = V835340 - 1. assign V616247 = V113647 + 1. assign V035578 = V759713. assign V274545 = V124686. assign V303404 = V594951 - 1. assign V467578 = V964943. assign V745989 = V567059. assign V563302 = V889228 - 1. assign V643425 = V403060 - 1. assign V938322 = V885966 + 1. assign V186585 = V759713. assign V638549 = V127308 - 1. assign V440995 = V646684. assign V428895 = V958963 + 1. assign V841763 = V386899. assign V696793 = V097599 - 1. assign V780854 = V616002. assign V344339 = V646684 - 1. assign V724295 = V438241 + 1. assign V548118 = V438241 + 1. assign V814337 = V215743 - 1. assign V027292 = V303404 - 1. assign V215743 = V840995. assign V157776 = V035578 + 1. assign V607608 = V106177. assign V250914 = V642505. assign V856813 = V106177 - 1. assign V073325 = V696793 - 1. assign V946434 = V759713 + 1. assign V393572 = V035578 + 1. assign V840995 = V186585. assign V720798 = V106177. assign V381604 = V113647. assign V618947 = V885966. assign V616002 = V835340 - 1. assign V193618 = V428895. assign V113647 = V186585. assign V796057 = V814337. assign V675611 = V885966 - 1. assign V862698 = V295755 + 1. assign V484451 = V616247 - 1. assign V623484 = V124686. assign V465727 = V642505. assign V782610 = V497953. assign V018854 = V165861 - 1. assign V030557 = V484451. assign V297295 = V034293 - 1. assign V352043 = V759713 + 1. assign V853257 = V378230. assign V055503 = V946434 - 1. assign V497953 = V759713. assign V522596 = V157776 - 1. assign V397856 = V571139. assign V090362 = V215743. assign V162637 = V150959 + 1. assign V617644 = V675611. assign V623655 = V150959 - 1. assign V770635 = V841763 + 1. assign V378230 = V157776 - 1. assign V045559 = V646684 + 1. assign V321505 = V344339 - 1. assign V155260 = V274545. assign V846823 = V594951 + 1. assign V192853 = V567059 + 1. assign V889228 = V946434 - 1. assign V295755 = V618947 + 1. assign V150959 = V946434 + 1. assign V042138 = V523655. assign V642505 = V540090 - 1. assign V435359 = V871837 + 1. assign V346955 = V034293 + 1. assign V251310 = V769193 - 1. assign V848655 = V164408. assign V871837 = V499798 + 1. assign V127308 = V215743 - 1. assign V417018 = V027292 - 1. assign V390756 = V055503. assign V706686 = V780854 + 1. assign V429833 = V531829 - 1. assign V069475 = V403060 + 1. assign V034293 = V497953 - 1. assign V501512 = V522596. assign V196209 = V344339 + 1. assign V815128 = V840995 - 1. assign V156909 = V035248 + 1. assign V646303 = V230064 + 1. assign V779240 = V527038. assign V462091 = V946434 - 1. assign V571139 = V623655 + 1. assign V594951 = V186585 - 1. assign V625089 = V344339. assign V109734 = V066858 - 1. assign V106177 = V381604 - 1. assign V920351 = V594951 + 1. assign V964943 = V106177. assign V230064 = V113647 + 1. assign V503939 = V259592. assign V209966 = V889228 + 1. assign V222009 = V259592 - 1. assign V752744 = V616002 - 1. assign V527038 = V780854 - 1. assign V406345 = V336443 + 1. assign V643377 = V235321 - 1. assign V056609 = V157776 - 1. assign V035248 = V157776 - 1. assign V409462 = V402476 - 1. assign V336443 = V045559. assign V062416 = V215743. assign V499798 = V759713. assign V531829 = V563302. assign V457803 = V030557 - 1. assign V985003 = V193618 - 1. assign V216288 = V113647 + 1. assign V847782 = V646303 - 1. assign V097599 = V230064 + 1. assign V235321 = V759713 - 1. assign V713237 = V035720 - 1. assign V925107 = V344339 + 1. assign V164408 = V045559. assign V835340 = V321505 + 1. assign V858258 = V571139 + 1. assign V124686 = V530697 + 1. assign V523655 = V230064 + 1. assign V762593 = V782610 - 1. assign V165861 = V871837 + 1. assign V713306 = V303404 - 1. assign V323484 = V531829 - 1. assign V754706 = V346955 + 1. assign V567059 = V462091 - 1. assign V908239 = V958963 + 1. assign V222636 = V034293. assign V958963 = V484451. assign V062810 = V803488. assign V540090 = V090362. assign V403060 = V344339. assign V845689 = V497953 + 1. assign V143571 = V186585 - 1. assign V259592 = V840995 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V871847 = V646303. assign V257576 = V403060 - 1. assign V828846 = V563302 + 1. assign V713661 = V853257 + 1. assign V803488 = V295755. assign V541636 = V336443 + 1. assign V438241 = V157776 - 1. assign V759713 = V646684 - 1. assign V716935 = V841763. assign V386899 = V885966. assign V175431 = V428895 + 1. assign V115079 = V847782 + 1. assign V606711 = V303404. assign V066858 = V295755 - 1. assign V135489 = V124686 - 1. assign V530697 = V946434. assign V829596 = V527038 - 1. assign V769193 = 0. assign V137296 = V157776. assign V159284 = V846823 + 1. assign V813886 = V623655 + 1. assign V103831 = V711743 + 1. assign V885966 = V946434. assign V409280 = V175431 + 1. assign V402476 = V235321 + 1. assign V456275 = V196209 - 1. assign V035720 = V646684 - 1. assign V661806 = V531829 - 1. assign V652001 = V646684 - 1. assign V589116 = V165861 + 1. assign V381703 = V073325 + 1. assign V411290 = V563302. assign V711743 = V484451. assign V022622 = V713237 + 1. assign V966391 = V835340 - 1. assign V616247 = V113647 + 1. assign V035578 = V759713. assign V274545 = V124686. assign V303404 = V594951 - 1. assign V467578 = V964943. assign V745989 = V567059. assign V563302 = V889228 - 1. assign V643425 = V403060 - 1. assign V938322 = V885966 + 1. assign V186585 = V759713. assign V638549 = V127308 - 1. assign V440995 = V646684. assign V428895 = V958963 + 1. assign V841763 = V386899. assign V696793 = V097599 - 1. assign V780854 = V616002. assign V344339 = V646684 - 1. assign V724295 = V438241 + 1. assign V548118 = V438241 + 1. assign V814337 = V215743 - 1. assign V027292 = V303404 - 1. assign V215743 = V840995. assign V157776 = V035578 + 1. assign V607608 = V106177. assign V250914 = V642505. assign V856813 = V106177 - 1. assign V073325 = V696793 - 1. assign V946434 = V759713 + 1. assign V393572 = V035578 + 1. assign V840995 = V186585. assign V720798 = V106177. assign V381604 = V113647. assign V618947 = V885966. assign V616002 = V835340 - 1. assign V193618 = V428895. assign V113647 = V186585. assign V796057 = V814337. assign V675611 = V885966 - 1. assign V862698 = V295755 + 1. assign V484451 = V616247 - 1. assign V623484 = V124686. assign V465727 = V642505. assign V782610 = V497953. assign V018854 = V165861 - 1. assign V030557 = V484451. assign V297295 = V034293 - 1. assign V352043 = V759713 + 1. assign V853257 = V378230. assign V055503 = V946434 - 1. assign V497953 = V759713. assign V522596 = V157776 - 1. assign V397856 = V571139. assign V090362 = V215743. assign V162637 = V150959 + 1. assign V617644 = V675611. assign V623655 = V150959 - 1. assign V770635 = V841763 + 1. assign V378230 = V157776 - 1. assign V045559 = V646684 + 1. assign V321505 = V344339 - 1. assign V155260 = V274545. assign V846823 = V594951 + 1. assign V192853 = V567059 + 1. assign V889228 = V946434 - 1. assign V295755 = V618947 + 1. assign V150959 = V946434 + 1. assign V042138 = V523655. assign V642505 = V540090 - 1. assign V435359 = V871837 + 1. assign V346955 = V034293 + 1. assign V251310 = V769193 - 1. assign V848655 = V164408. assign V871837 = V499798 + 1. assign V127308 = V215743 - 1. assign V417018 = V027292 - 1. assign V390756 = V055503. assign V706686 = V780854 + 1. assign V429833 = V531829 - 1. assign V069475 = V403060 + 1. assign V034293 = V497953 - 1. assign V501512 = V522596. assign V196209 = V344339 + 1. assign V815128 = V840995 - 1. assign V156909 = V035248 + 1. assign V646303 = V230064 + 1. assign V779240 = V527038. assign V462091 = V946434 - 1. assign V571139 = V623655 + 1. assign V594951 = V186585 - 1. assign V625089 = V344339. assign V109734 = V066858 - 1. assign V106177 = V381604 - 1. assign V920351 = V594951 + 1. assign V964943 = V106177. assign V230064 = V113647 + 1. assign V503939 = V259592. assign V209966 = V889228 + 1. assign V222009 = V259592 - 1. assign V752744 = V616002 - 1. assign V527038 = V780854 - 1. assign V406345 = V336443 + 1. assign V643377 = V235321 - 1. assign V056609 = V157776 - 1. assign V035248 = V157776 - 1. assign V409462 = V402476 - 1. assign V336443 = V045559. assign V062416 = V215743. assign V499798 = V759713. assign V531829 = V563302. assign V457803 = V030557 - 1. assign V985003 = V193618 - 1. assign V216288 = V113647 + 1. assign V847782 = V646303 - 1. assign V097599 = V230064 + 1. assign V235321 = V759713 - 1. assign V713237 = V035720 - 1. assign V925107 = V344339 + 1. assign V164408 = V045559. assign V835340 = V321505 + 1. assign V858258 = V571139 + 1. assign V124686 = V530697 + 1. assign V523655 = V230064 + 1. assign V762593 = V782610 - 1. assign V165861 = V871837 + 1. assign V713306 = V303404 - 1. assign V323484 = V531829 - 1. assign V754706 = V346955 + 1. assign V567059 = V462091 - 1. assign V908239 = V958963 + 1. assign V222636 = V034293. assign V958963 = V484451. assign V062810 = V803488. assign V540090 = V090362. assign V403060 = V344339. assign V845689 = V497953 + 1. assign V143571 = V186585 - 1. assign V259592 = V840995 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV769193 = 0;\n\nFrom these direct assignment(s), we have: \nV251310 = V769193 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V251310;\nNo other variables can be derived from V769193;\n\nNow we have done all the calculations. Derived variables are:\nV769193 = 0;\nV251310 = -1;\n\nNow we have finished this problem. ANSWER:\nV769193\n", "role": "assistant" } ]

[ "V931450" ]

[ { "content": "<context>\nassign V114535 = V282619 + 1. assign V060363 = V386367. assign V561585 = V449678. assign V121412 = V100435 - 1. assign V166651 = V279201 - 1. assign V886302 = V266201. assign V237717 = V503331 - 1. assign V794339 = V652682 - 1. assign V068809 = V466463. assign V963386 = V864620 - 1. assign V125954 = V613823. assign V520836 = V166651. assign V876169 = V942958 - 1. assign V692701 = V712715 - 1. assign V540390 = V324279 + 1. assign V142105 = V426392 + 1. assign V265288 = V561585 - 1. assign V749872 = V688623. assign V997533 = V782451. assign V646043 = V747180. assign V811072 = V860792. assign V022264 = V112042 - 1. assign V049109 = V282619 - 1. assign V426392 = V103048 + 1. assign V292525 = V114535 - 1. assign V002058 = V023179 - 1. assign V560403 = V260969 + 1. assign V795213 = V324279 - 1. assign V017737 = V920815 + 1. assign V445281 = V507178 + 1. assign V217842 = V743458 + 1. assign V100435 = V585208 + 1. assign V186243 = V142184 - 1. assign V760370 = V853025 + 1. assign V653616 = V426392 + 1. assign V753777 = V466463 - 1. assign V422597 = V143096 + 1. assign V804045 = V936927. assign V956848 = V942958 + 1. assign V891540 = V279201 + 1. assign V516981 = V688623 + 1. assign V811325 = V779459 + 1. assign V955030 = V795213. assign V747180 = V240036 - 1. assign V665776 = V864620 - 1. assign V582150 = V102365 + 1. assign V073207 = V049109 + 1. assign V855298 = V814480 + 1. assign V863178 = V804045 - 1. assign V908693 = V032611. assign V152787 = V794339. assign V686849 = V643602. assign V722020 = V282619 + 1. assign V130066 = V585845 - 1. assign V993051 = V779459. assign V693682 = V206434 + 1. assign V920815 = V286053 - 1. assign V729654 = V956848 - 1. assign V209434 = V292525 + 1. assign V879085 = V088560. assign V621564 = V206434 - 1. assign V512924 = V585208 - 1. assign V910710 = V660047 + 1. assign V495356 = V842232. assign V864620 = V582150. assign V779459 = V660047. assign V456919 = V466463. assign V860792 = V782451. assign V677892 = V537446 - 1. assign V457262 = V765696. assign V882442 = V712715 - 1. assign V765696 = V102365 + 1. assign V260969 = V876169. assign V335233 = V882442 - 1. assign V449678 = V125954 + 1. assign V652682 = V266201 + 1. assign V646079 = V324279. assign V507178 = V956848. assign V942958 = V688623 + 1. assign V918025 = V426392. assign V633116 = V936927 - 1. assign V107389 = V112042. assign V842232 = V534482 + 1. assign V814480 = V942958 + 1. assign V845535 = V572720 + 1. assign V644564 = V692058 + 1. assign V032576 = V782451 - 1. assign V014999 = V206434 + 1. assign V199838 = V652682 - 1. assign V282619 = V688623. assign V386367 = V049109 - 1. assign V040797 = V212868. assign V035518 = V991321. assign V279201 = V712715 + 1. assign V422358 = V068809 + 1. assign V660047 = V956848. assign V537446 = V582150 - 1. assign V286053 = V049109 - 1. assign V102365 = V652682 + 1. assign V265470 = V794339 + 1. assign V841869 = V795213 - 1. assign V153609 = V240036. assign V324279 = V466463. assign V143096 = V391558 - 1. assign V190034 = V014999. assign V692058 = V405238. assign V991321 = V585208 + 1. assign V813828 = V467512 - 1. assign V408805 = V920815 + 1. assign V180367 = V391558 - 1. assign V616785 = V112042 + 1. assign V572720 = V765696. assign V663405 = V386367 + 1. assign V115416 = V103048 - 1. assign V585208 = V466463 + 1. assign V585845 = V206434 + 1. assign V982991 = V864620. assign V950195 = V864620 + 1. assign V507228 = V841869 - 1. assign V414386 = V779459 + 1. assign V631117 = V732018 + 1. assign V503331 = V886302. assign V936927 = V879085 - 1. assign V542488 = V534482 - 1. assign V206434 = V749872 + 1. assign V048008 = V143096. assign V334602 = V282619 + 1. assign V482936 = V286053 - 1. assign V643602 = V693682 + 1. assign V391558 = V886302 - 1. assign V963947 = V206434. assign V092568 = V292076. assign V712715 = V507178 - 1. assign V830073 = V722020. assign V204003 = V660047 + 1. assign V903743 = V693682 + 1. assign V466463 = V507178. assign V283469 = V760370 + 1. assign V743458 = V445281 + 1. assign V686654 = V886302. assign V617503 = V457262 + 1. assign V103048 = V688623. assign V688623 = V088560. assign V023179 = V712715 - 1. assign V983126 = V794339. assign V405238 = V088560 + 1. assign V193256 = 8. assign V045081 = V991321 + 1. assign V467512 = V212868. assign V112042 = V282619 - 1. assign V295797 = V743458. assign V931450 = V193256 - 1. assign V032611 = V749872 - 1. assign V386207 = V334602. assign V782451 = V049109. assign V396072 = V426392 - 1. assign V732018 = V507178. assign V534482 = V023179. assign V486471 = V729654. assign V613823 = V391558 - 1. assign V883910 = V613823 + 1. assign V593148 = V266201 - 1. assign V052656 = V582150. assign V519782 = V794339. assign V142184 = V507178 + 1. assign V224120 = V692701 - 1. assign V292076 = V814480 + 1. assign V853025 = V049109 - 1. assign V212868 = V910710 - 1. assign V414514 = V997533 - 1. assign V266201 = V282619. assign V240036 = V942958 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V114535 = V282619 + 1. assign V060363 = V386367. assign V561585 = V449678. assign V121412 = V100435 - 1. assign V166651 = V279201 - 1. assign V886302 = V266201. assign V237717 = V503331 - 1. assign V794339 = V652682 - 1. assign V068809 = V466463. assign V963386 = V864620 - 1. assign V125954 = V613823. assign V520836 = V166651. assign V876169 = V942958 - 1. assign V692701 = V712715 - 1. assign V540390 = V324279 + 1. assign V142105 = V426392 + 1. assign V265288 = V561585 - 1. assign V749872 = V688623. assign V997533 = V782451. assign V646043 = V747180. assign V811072 = V860792. assign V022264 = V112042 - 1. assign V049109 = V282619 - 1. assign V426392 = V103048 + 1. assign V292525 = V114535 - 1. assign V002058 = V023179 - 1. assign V560403 = V260969 + 1. assign V795213 = V324279 - 1. assign V017737 = V920815 + 1. assign V445281 = V507178 + 1. assign V217842 = V743458 + 1. assign V100435 = V585208 + 1. assign V186243 = V142184 - 1. assign V760370 = V853025 + 1. assign V653616 = V426392 + 1. assign V753777 = V466463 - 1. assign V422597 = V143096 + 1. assign V804045 = V936927. assign V956848 = V942958 + 1. assign V891540 = V279201 + 1. assign V516981 = V688623 + 1. assign V811325 = V779459 + 1. assign V955030 = V795213. assign V747180 = V240036 - 1. assign V665776 = V864620 - 1. assign V582150 = V102365 + 1. assign V073207 = V049109 + 1. assign V855298 = V814480 + 1. assign V863178 = V804045 - 1. assign V908693 = V032611. assign V152787 = V794339. assign V686849 = V643602. assign V722020 = V282619 + 1. assign V130066 = V585845 - 1. assign V993051 = V779459. assign V693682 = V206434 + 1. assign V920815 = V286053 - 1. assign V729654 = V956848 - 1. assign V209434 = V292525 + 1. assign V879085 = V088560. assign V621564 = V206434 - 1. assign V512924 = V585208 - 1. assign V910710 = V660047 + 1. assign V495356 = V842232. assign V864620 = V582150. assign V779459 = V660047. assign V456919 = V466463. assign V860792 = V782451. assign V677892 = V537446 - 1. assign V457262 = V765696. assign V882442 = V712715 - 1. assign V765696 = V102365 + 1. assign V260969 = V876169. assign V335233 = V882442 - 1. assign V449678 = V125954 + 1. assign V652682 = V266201 + 1. assign V646079 = V324279. assign V507178 = V956848. assign V942958 = V688623 + 1. assign V918025 = V426392. assign V633116 = V936927 - 1. assign V107389 = V112042. assign V842232 = V534482 + 1. assign V814480 = V942958 + 1. assign V845535 = V572720 + 1. assign V644564 = V692058 + 1. assign V032576 = V782451 - 1. assign V014999 = V206434 + 1. assign V199838 = V652682 - 1. assign V282619 = V688623. assign V386367 = V049109 - 1. assign V040797 = V212868. assign V035518 = V991321. assign V279201 = V712715 + 1. assign V422358 = V068809 + 1. assign V660047 = V956848. assign V537446 = V582150 - 1. assign V286053 = V049109 - 1. assign V102365 = V652682 + 1. assign V265470 = V794339 + 1. assign V841869 = V795213 - 1. assign V153609 = V240036. assign V324279 = V466463. assign V143096 = V391558 - 1. assign V190034 = V014999. assign V692058 = V405238. assign V991321 = V585208 + 1. assign V813828 = V467512 - 1. assign V408805 = V920815 + 1. assign V180367 = V391558 - 1. assign V616785 = V112042 + 1. assign V572720 = V765696. assign V663405 = V386367 + 1. assign V115416 = V103048 - 1. assign V585208 = V466463 + 1. assign V585845 = V206434 + 1. assign V982991 = V864620. assign V950195 = V864620 + 1. assign V507228 = V841869 - 1. assign V414386 = V779459 + 1. assign V631117 = V732018 + 1. assign V503331 = V886302. assign V936927 = V879085 - 1. assign V542488 = V534482 - 1. assign V206434 = V749872 + 1. assign V048008 = V143096. assign V334602 = V282619 + 1. assign V482936 = V286053 - 1. assign V643602 = V693682 + 1. assign V391558 = V886302 - 1. assign V963947 = V206434. assign V092568 = V292076. assign V712715 = V507178 - 1. assign V830073 = V722020. assign V204003 = V660047 + 1. assign V903743 = V693682 + 1. assign V466463 = V507178. assign V283469 = V760370 + 1. assign V743458 = V445281 + 1. assign V686654 = V886302. assign V617503 = V457262 + 1. assign V103048 = V688623. assign V688623 = V088560. assign V023179 = V712715 - 1. assign V983126 = V794339. assign V405238 = V088560 + 1. assign V193256 = 8. assign V045081 = V991321 + 1. assign V467512 = V212868. assign V112042 = V282619 - 1. assign V295797 = V743458. assign V931450 = V193256 - 1. assign V032611 = V749872 - 1. assign V386207 = V334602. assign V782451 = V049109. assign V396072 = V426392 - 1. assign V732018 = V507178. assign V534482 = V023179. assign V486471 = V729654. assign V613823 = V391558 - 1. assign V883910 = V613823 + 1. assign V593148 = V266201 - 1. assign V052656 = V582150. assign V519782 = V794339. assign V142184 = V507178 + 1. assign V224120 = V692701 - 1. assign V292076 = V814480 + 1. assign V853025 = V049109 - 1. assign V212868 = V910710 - 1. assign V414514 = V997533 - 1. assign V266201 = V282619. assign V240036 = V942958 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV193256 = 8;\n\nFrom these direct assignment(s), we have: \nV931450 = V193256 - 1 = 8 - 1 =7;\nNo other variables can be derived from V931450;\nNo other variables can be derived from V193256;\n\nNow we have done all the calculations. Derived variables are:\nV193256 = 8;\nV931450 = 7;\n\nNow we have finished this problem. ANSWER:\nV931450\n", "role": "assistant" } ]

[ "V120751", "V182479" ]

[ { "content": "<context>\nassign V297469 = V316761 + 1. assign V887797 = V853232 - 1. assign V547938 = V540720 + 1. assign V744969 = V260657 - 1. assign V847723 = V351753 + 1. assign V804559 = V680693 + 1. assign V251760 = V297469 - 1. assign V581863 = V405440. assign V657607 = V943343 + 1. assign V826069 = V185781. assign V797805 = V558977 - 1. assign V534518 = V845050 - 1. assign V238621 = V371393 + 1. assign V163592 = V845050 + 1. assign V680693 = V351753. assign V259790 = V518415 - 1. assign V785902 = V095965 - 1. assign V169743 = V985009 - 1. assign V599839 = V927896 + 1. assign V828721 = V405693 - 1. assign V945857 = V409672 + 1. assign V397996 = V409672. assign V504912 = V316761 - 1. assign V848651 = V537047 + 1. assign V982348 = V537047 - 1. assign V205906 = V649760 - 1. assign V746790 = V697341 - 1. assign V580077 = V309210 - 1. assign V960937 = V841336 - 1. assign V939259 = V571489. assign V220306 = V405440 - 1. assign V782466 = V117312 + 1. assign V733601 = V744051. assign V649760 = V673099. assign V635777 = V657607 - 1. assign V255817 = V405440. assign V930063 = V156774 - 1. assign V058248 = V768640 - 1. assign V185781 = V930063 + 1. assign V472121 = V163592. assign V006498 = V927896 - 1. assign V316761 = V845050 + 1. assign V940687 = V537047 - 1. assign V483338 = V163592 + 1. assign V481929 = V439438 + 1. assign V943343 = V328004 - 1. assign V666660 = V472121 + 1. assign V866171 = V649760 + 1. assign V315390 = V075196 - 1. assign V182479 = V120751. assign V555666 = V220306 - 1. assign V405440 = V955175 + 1. assign V400056 = V495746 - 1. assign V176518 = V518415. assign V744051 = V518415. assign V400296 = V439438 + 1. assign V583169 = V405693 - 1. assign V853232 = V185781 + 1. assign V518624 = V985009. assign V656318 = V706053 + 1. assign V149340 = V351753 - 1. assign V745351 = V418711 - 1. assign V702540 = V058248. assign V439438 = V156774 + 1. assign V825925 = V058248. assign V718103 = V772844 - 1. assign V097678 = V205906 - 1. assign V558977 = V697341 - 1. assign V495746 = V744051 - 1. assign V222526 = V744969. assign V027902 = V680693 + 1. assign V309210 = V316761 + 1. assign V252948 = V847723. assign V064837 = V409672 + 1. assign V134171 = V580077 - 1. assign V510167 = V117312 + 1. assign V156774 = V316761. assign V328004 = V351753 + 1. assign V768640 = V680693 + 1. assign V290942 = V252948 - 1. assign V689724 = V276694. assign V721680 = V259790 + 1. assign V761920 = V852535. assign V571489 = V871514 + 1. assign V679430 = V006498 + 1. assign V985009 = V848651 + 1. assign V260657 = V815137. assign V555525 = V362303 - 1. assign V501087 = V540720 + 1. assign V016585 = V985009 - 1. assign V750031 = V351753. assign V852535 = V571489. assign V288274 = V481991 - 1. assign V690601 = V220306 + 1. assign V281752 = V381741. assign V955331 = V472121 - 1. assign V772844 = V948963 - 1. assign V367840 = V847723. assign V371393 = V581863 + 1. assign V001138 = V848651 - 1. assign V559829 = V252948. assign V545568 = V276694 + 1. assign V817614 = V472121 - 1. assign V962329 = V501570 - 1. assign V181324 = V074886 - 1. assign V095491 = V483338 + 1. assign V659573 = V985009 - 1. assign V362303 = V666660 - 1. assign V697341 = V845050 - 1. assign V880490 = V955331 - 1. assign V518415 = V439438. assign V948963 = V351753. assign V416234 = V027902 - 1. assign V855425 = V825925. assign V482956 = V316761 + 1. assign V760374 = V297469 - 1. assign V204852 = V163592 - 1. assign V075196 = V982348 - 1. assign V070494 = V982348. assign V726632 = V761920. assign V673099 = V930063 + 1. assign V955175 = V481991. assign V273537 = V156774. assign V706053 = V409672 - 1. assign V501740 = V702540. assign V117312 = V409672 - 1. assign V945484 = V472124. assign V013618 = V809603 + 1. assign V740967 = V362303 + 1. assign V327504 = V666660 + 1. assign V074886 = V328004 + 1. assign V328279 = V204852. assign V871514 = V204852 + 1. assign V012900 = V353827. assign V809603 = V847723 + 1. assign V849829 = V006498 - 1. assign V418711 = V985009. assign V146810 = V955175. assign V570570 = V371393 - 1. assign V381741 = V927896 + 1. assign V276694 = V400296 - 1. assign V815137 = V555666 + 1. assign V841336 = V943343 + 1. assign V975619 = V871514. assign V927896 = V163592 - 1. assign V699495 = V185781 + 1. assign V463481 = V495746 - 1. assign V083274 = V501570 + 1. assign V805730 = V744969 - 1. assign V405693 = V948963 - 1. assign V247279 = V472121. assign V472124 = V580077. assign V562442 = V845050 - 1. assign V603866 = V841336 + 1. assign V353827 = V581863. assign V248638 = V960937. assign V178803 = V146810 - 1. assign V258047 = V943343. assign V095965 = V205906 + 1. assign V501570 = V220306 + 1. assign V351753 = V845050 + 1. assign V540720 = V599839 + 1. assign V481991 = V297469 + 1. assign V312805 = V472121 + 1. assign V257555 = V146810. assign V409672 = V871514 - 1. assign V210303 = V649760 - 1. assign V178787 = V841336 + 1. assign V220541 = V501570 - 1. assign V537047 = V680693 - 1. assign V085023 = V156774. assign V120751 = 0.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V297469 = V316761 + 1. assign V887797 = V853232 - 1. assign V547938 = V540720 + 1. assign V744969 = V260657 - 1. assign V847723 = V351753 + 1. assign V804559 = V680693 + 1. assign V251760 = V297469 - 1. assign V581863 = V405440. assign V657607 = V943343 + 1. assign V826069 = V185781. assign V797805 = V558977 - 1. assign V534518 = V845050 - 1. assign V238621 = V371393 + 1. assign V163592 = V845050 + 1. assign V680693 = V351753. assign V259790 = V518415 - 1. assign V785902 = V095965 - 1. assign V169743 = V985009 - 1. assign V599839 = V927896 + 1. assign V828721 = V405693 - 1. assign V945857 = V409672 + 1. assign V397996 = V409672. assign V504912 = V316761 - 1. assign V848651 = V537047 + 1. assign V982348 = V537047 - 1. assign V205906 = V649760 - 1. assign V746790 = V697341 - 1. assign V580077 = V309210 - 1. assign V960937 = V841336 - 1. assign V939259 = V571489. assign V220306 = V405440 - 1. assign V782466 = V117312 + 1. assign V733601 = V744051. assign V649760 = V673099. assign V635777 = V657607 - 1. assign V255817 = V405440. assign V930063 = V156774 - 1. assign V058248 = V768640 - 1. assign V185781 = V930063 + 1. assign V472121 = V163592. assign V006498 = V927896 - 1. assign V316761 = V845050 + 1. assign V940687 = V537047 - 1. assign V483338 = V163592 + 1. assign V481929 = V439438 + 1. assign V943343 = V328004 - 1. assign V666660 = V472121 + 1. assign V866171 = V649760 + 1. assign V315390 = V075196 - 1. assign V182479 = V120751. assign V555666 = V220306 - 1. assign V405440 = V955175 + 1. assign V400056 = V495746 - 1. assign V176518 = V518415. assign V744051 = V518415. assign V400296 = V439438 + 1. assign V583169 = V405693 - 1. assign V853232 = V185781 + 1. assign V518624 = V985009. assign V656318 = V706053 + 1. assign V149340 = V351753 - 1. assign V745351 = V418711 - 1. assign V702540 = V058248. assign V439438 = V156774 + 1. assign V825925 = V058248. assign V718103 = V772844 - 1. assign V097678 = V205906 - 1. assign V558977 = V697341 - 1. assign V495746 = V744051 - 1. assign V222526 = V744969. assign V027902 = V680693 + 1. assign V309210 = V316761 + 1. assign V252948 = V847723. assign V064837 = V409672 + 1. assign V134171 = V580077 - 1. assign V510167 = V117312 + 1. assign V156774 = V316761. assign V328004 = V351753 + 1. assign V768640 = V680693 + 1. assign V290942 = V252948 - 1. assign V689724 = V276694. assign V721680 = V259790 + 1. assign V761920 = V852535. assign V571489 = V871514 + 1. assign V679430 = V006498 + 1. assign V985009 = V848651 + 1. assign V260657 = V815137. assign V555525 = V362303 - 1. assign V501087 = V540720 + 1. assign V016585 = V985009 - 1. assign V750031 = V351753. assign V852535 = V571489. assign V288274 = V481991 - 1. assign V690601 = V220306 + 1. assign V281752 = V381741. assign V955331 = V472121 - 1. assign V772844 = V948963 - 1. assign V367840 = V847723. assign V371393 = V581863 + 1. assign V001138 = V848651 - 1. assign V559829 = V252948. assign V545568 = V276694 + 1. assign V817614 = V472121 - 1. assign V962329 = V501570 - 1. assign V181324 = V074886 - 1. assign V095491 = V483338 + 1. assign V659573 = V985009 - 1. assign V362303 = V666660 - 1. assign V697341 = V845050 - 1. assign V880490 = V955331 - 1. assign V518415 = V439438. assign V948963 = V351753. assign V416234 = V027902 - 1. assign V855425 = V825925. assign V482956 = V316761 + 1. assign V760374 = V297469 - 1. assign V204852 = V163592 - 1. assign V075196 = V982348 - 1. assign V070494 = V982348. assign V726632 = V761920. assign V673099 = V930063 + 1. assign V955175 = V481991. assign V273537 = V156774. assign V706053 = V409672 - 1. assign V501740 = V702540. assign V117312 = V409672 - 1. assign V945484 = V472124. assign V013618 = V809603 + 1. assign V740967 = V362303 + 1. assign V327504 = V666660 + 1. assign V074886 = V328004 + 1. assign V328279 = V204852. assign V871514 = V204852 + 1. assign V012900 = V353827. assign V809603 = V847723 + 1. assign V849829 = V006498 - 1. assign V418711 = V985009. assign V146810 = V955175. assign V570570 = V371393 - 1. assign V381741 = V927896 + 1. assign V276694 = V400296 - 1. assign V815137 = V555666 + 1. assign V841336 = V943343 + 1. assign V975619 = V871514. assign V927896 = V163592 - 1. assign V699495 = V185781 + 1. assign V463481 = V495746 - 1. assign V083274 = V501570 + 1. assign V805730 = V744969 - 1. assign V405693 = V948963 - 1. assign V247279 = V472121. assign V472124 = V580077. assign V562442 = V845050 - 1. assign V603866 = V841336 + 1. assign V353827 = V581863. assign V248638 = V960937. assign V178803 = V146810 - 1. assign V258047 = V943343. assign V095965 = V205906 + 1. assign V501570 = V220306 + 1. assign V351753 = V845050 + 1. assign V540720 = V599839 + 1. assign V481991 = V297469 + 1. assign V312805 = V472121 + 1. assign V257555 = V146810. assign V409672 = V871514 - 1. assign V210303 = V649760 - 1. assign V178787 = V841336 + 1. assign V220541 = V501570 - 1. assign V537047 = V680693 - 1. assign V085023 = V156774. assign V120751 = 0.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV120751 = 0;\n\nFrom these direct assignment(s), we have: \nV182479 = V120751 = 0;\nNo other variables can be derived from V182479;\nNo other variables can be derived from V120751;\n\nNow we have done all the calculations. Derived variables are:\nV120751 = 0;\nV182479 = 0;\n\nNow we have finished this problem. ANSWER:\nV120751, V182479\n", "role": "assistant" } ]

[ "V317862", "V092035" ]

[ { "content": "<context>\nassign V408434 = V310991 - 1. assign V127397 = V824679 + 1. assign V746367 = V032672 - 1. assign V692533 = V923657 - 1. assign V647463 = V032672 - 1. assign V654748 = V605229 - 1. assign V198840 = V473154. assign V504739 = V108776. assign V865514 = V108776. assign V306348 = V495762. assign V796937 = V310665 + 1. assign V439712 = V336681 + 1. assign V317862 = 8. assign V434489 = V800776. assign V430412 = V943254 + 1. assign V302478 = V923657 - 1. assign V800776 = V440957. assign V463353 = V747432 - 1. assign V352075 = V137940 - 1. assign V925950 = V440957. assign V522645 = V799882 - 1. assign V493629 = V644606 + 1. assign V605727 = V009828 - 1. assign V568565 = V627825 + 1. assign V491053 = V957517. assign V945846 = V068360 + 1. assign V507567 = V716217. assign V792291 = V584119 - 1. assign V473154 = V032672 - 1. assign V275646 = V127397 - 1. assign V263536 = V957517 - 1. assign V056316 = V776845. assign V358881 = V067854 + 1. assign V885083 = V872155 - 1. assign V455732 = V495762. assign V044490 = V439712. assign V230947 = V117693 - 1. assign V746361 = V336681 - 1. assign V198196 = V873242. assign V308402 = V746367 + 1. assign V937793 = V925950 - 1. assign V819220 = V272312. assign V838287 = V661452 + 1. assign V720475 = V473154 - 1. assign V199422 = V310991 - 1. assign V042468 = V489475 + 1. assign V121418 = V056316 + 1. assign V948824 = V032672 + 1. assign V716217 = V142314 - 1. assign V584119 = V948824 - 1. assign V159578 = V473154 - 1. assign V086911 = V746361 - 1. assign V229974 = V117693 + 1. assign V117693 = V473154. assign V357640 = V472707 - 1. assign V833896 = V799882 - 1. assign V718607 = V923657. assign V832511 = V800776 - 1. assign V347311 = V232819 + 1. assign V682778 = V880507 + 1. assign V904528 = V491053 + 1. assign V336681 = V491053 + 1. assign V109082 = V229974 + 1. assign V273835 = V948824. assign V196053 = V661452. assign V753564 = V198196. assign V829750 = V943254. assign V009828 = V431196. assign V079457 = V358881. assign V762078 = V939106 + 1. assign V002466 = V440957 - 1. assign V403795 = V948824 + 1. assign V661452 = V302251 + 1. assign V181801 = V310665 + 1. assign V408083 = V872155 - 1. assign V880507 = V302251 - 1. assign V530551 = V358881. assign V515168 = V522645 + 1. assign V423667 = V873242 + 1. assign V550217 = V229974 + 1. assign V995016 = V983965 - 1. assign V196267 = V336681 + 1. assign V681204 = V122213 - 1. assign V431196 = V473154. assign V605682 = V618312. assign V626809 = V776845 - 1. assign V013433 = V584119 - 1. assign V998318 = V102714. assign V784512 = V718607 - 1. assign V420214 = V102714 - 1. assign V310665 = V692533 + 1. assign V225923 = V605727 - 1. assign V776845 = V103015 - 1. assign V092035 = V317862. assign V729937 = V808740 - 1. assign V627825 = V198196. assign V576952 = V495762. assign V957517 = V746367 - 1. assign V115524 = V839660. assign V575732 = V489475. assign V102714 = V272312 + 1. assign V191955 = V491053 - 1. assign V103015 = V067854 - 1. assign V201763 = V486975 + 1. assign V939106 = V948824. assign V456984 = V824679 - 1. assign V618814 = V522645. assign V110295 = V792291 - 1. assign V747432 = V137940 + 1. assign V644606 = V137940 + 1. assign V184470 = V284533. assign V157818 = V800776 + 1. assign V648799 = V137940 + 1. assign V056702 = V108776 - 1. assign V587419 = V103015. assign V775168 = V816144 + 1. assign V302251 = V032672 - 1. assign V872155 = V576952 + 1. assign V873242 = V948824. assign V272312 = V489475. assign V108776 = V336681 - 1. assign V806627 = V472707. assign V923657 = V431196 + 1. assign V122213 = V925950. assign V116987 = V423667 + 1. assign V068360 = V302251. assign V472707 = V491053 - 1. assign V808740 = V948824 + 1. assign V847604 = V939106 - 1. assign V471384 = V615155 - 1. assign V839660 = V310665 - 1. assign V983965 = V191955 + 1. assign V232819 = V957517 + 1. assign V489475 = V431196 + 1. assign V660104 = V310665 - 1. assign V615155 = V196267 + 1. assign V011231 = V198196. assign V748935 = V660104 - 1. assign V142314 = V068360 + 1. assign V527406 = V816144 + 1. assign V312664 = V465322 - 1. assign V983510 = V196267 + 1. assign V375610 = V302251 + 1. assign V284533 = V945846 - 1. assign V649600 = V948824 + 1. assign V137940 = V491053 + 1. assign V067854 = V032672 - 1. assign V183136 = V753564. assign V599151 = V983510 - 1. assign V440957 = V824679 + 1. assign V628289 = V196053 + 1. assign V495762 = V491053. assign V346773 = V800776. assign V897180 = V618312 - 1. assign V619496 = V232819 - 1. assign V465322 = V229974. assign V782493 = V649600 - 1. assign V605229 = V336681 - 1. assign V799882 = V275646. assign V943254 = V873242. assign V486975 = V897180. assign V278088 = V009828. assign V618312 = V067854. assign V621306 = V661452 - 1. assign V908517 = V948081 - 1. assign V948081 = V117693 + 1. assign V515433 = V032672 - 1. assign V310991 = V431196 + 1. assign V714579 = V784512 + 1. assign V816144 = V302251 + 1. assign V824679 = V302251. assign V832427 = V336681.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V408434 = V310991 - 1. assign V127397 = V824679 + 1. assign V746367 = V032672 - 1. assign V692533 = V923657 - 1. assign V647463 = V032672 - 1. assign V654748 = V605229 - 1. assign V198840 = V473154. assign V504739 = V108776. assign V865514 = V108776. assign V306348 = V495762. assign V796937 = V310665 + 1. assign V439712 = V336681 + 1. assign V317862 = 8. assign V434489 = V800776. assign V430412 = V943254 + 1. assign V302478 = V923657 - 1. assign V800776 = V440957. assign V463353 = V747432 - 1. assign V352075 = V137940 - 1. assign V925950 = V440957. assign V522645 = V799882 - 1. assign V493629 = V644606 + 1. assign V605727 = V009828 - 1. assign V568565 = V627825 + 1. assign V491053 = V957517. assign V945846 = V068360 + 1. assign V507567 = V716217. assign V792291 = V584119 - 1. assign V473154 = V032672 - 1. assign V275646 = V127397 - 1. assign V263536 = V957517 - 1. assign V056316 = V776845. assign V358881 = V067854 + 1. assign V885083 = V872155 - 1. assign V455732 = V495762. assign V044490 = V439712. assign V230947 = V117693 - 1. assign V746361 = V336681 - 1. assign V198196 = V873242. assign V308402 = V746367 + 1. assign V937793 = V925950 - 1. assign V819220 = V272312. assign V838287 = V661452 + 1. assign V720475 = V473154 - 1. assign V199422 = V310991 - 1. assign V042468 = V489475 + 1. assign V121418 = V056316 + 1. assign V948824 = V032672 + 1. assign V716217 = V142314 - 1. assign V584119 = V948824 - 1. assign V159578 = V473154 - 1. assign V086911 = V746361 - 1. assign V229974 = V117693 + 1. assign V117693 = V473154. assign V357640 = V472707 - 1. assign V833896 = V799882 - 1. assign V718607 = V923657. assign V832511 = V800776 - 1. assign V347311 = V232819 + 1. assign V682778 = V880507 + 1. assign V904528 = V491053 + 1. assign V336681 = V491053 + 1. assign V109082 = V229974 + 1. assign V273835 = V948824. assign V196053 = V661452. assign V753564 = V198196. assign V829750 = V943254. assign V009828 = V431196. assign V079457 = V358881. assign V762078 = V939106 + 1. assign V002466 = V440957 - 1. assign V403795 = V948824 + 1. assign V661452 = V302251 + 1. assign V181801 = V310665 + 1. assign V408083 = V872155 - 1. assign V880507 = V302251 - 1. assign V530551 = V358881. assign V515168 = V522645 + 1. assign V423667 = V873242 + 1. assign V550217 = V229974 + 1. assign V995016 = V983965 - 1. assign V196267 = V336681 + 1. assign V681204 = V122213 - 1. assign V431196 = V473154. assign V605682 = V618312. assign V626809 = V776845 - 1. assign V013433 = V584119 - 1. assign V998318 = V102714. assign V784512 = V718607 - 1. assign V420214 = V102714 - 1. assign V310665 = V692533 + 1. assign V225923 = V605727 - 1. assign V776845 = V103015 - 1. assign V092035 = V317862. assign V729937 = V808740 - 1. assign V627825 = V198196. assign V576952 = V495762. assign V957517 = V746367 - 1. assign V115524 = V839660. assign V575732 = V489475. assign V102714 = V272312 + 1. assign V191955 = V491053 - 1. assign V103015 = V067854 - 1. assign V201763 = V486975 + 1. assign V939106 = V948824. assign V456984 = V824679 - 1. assign V618814 = V522645. assign V110295 = V792291 - 1. assign V747432 = V137940 + 1. assign V644606 = V137940 + 1. assign V184470 = V284533. assign V157818 = V800776 + 1. assign V648799 = V137940 + 1. assign V056702 = V108776 - 1. assign V587419 = V103015. assign V775168 = V816144 + 1. assign V302251 = V032672 - 1. assign V872155 = V576952 + 1. assign V873242 = V948824. assign V272312 = V489475. assign V108776 = V336681 - 1. assign V806627 = V472707. assign V923657 = V431196 + 1. assign V122213 = V925950. assign V116987 = V423667 + 1. assign V068360 = V302251. assign V472707 = V491053 - 1. assign V808740 = V948824 + 1. assign V847604 = V939106 - 1. assign V471384 = V615155 - 1. assign V839660 = V310665 - 1. assign V983965 = V191955 + 1. assign V232819 = V957517 + 1. assign V489475 = V431196 + 1. assign V660104 = V310665 - 1. assign V615155 = V196267 + 1. assign V011231 = V198196. assign V748935 = V660104 - 1. assign V142314 = V068360 + 1. assign V527406 = V816144 + 1. assign V312664 = V465322 - 1. assign V983510 = V196267 + 1. assign V375610 = V302251 + 1. assign V284533 = V945846 - 1. assign V649600 = V948824 + 1. assign V137940 = V491053 + 1. assign V067854 = V032672 - 1. assign V183136 = V753564. assign V599151 = V983510 - 1. assign V440957 = V824679 + 1. assign V628289 = V196053 + 1. assign V495762 = V491053. assign V346773 = V800776. assign V897180 = V618312 - 1. assign V619496 = V232819 - 1. assign V465322 = V229974. assign V782493 = V649600 - 1. assign V605229 = V336681 - 1. assign V799882 = V275646. assign V943254 = V873242. assign V486975 = V897180. assign V278088 = V009828. assign V618312 = V067854. assign V621306 = V661452 - 1. assign V908517 = V948081 - 1. assign V948081 = V117693 + 1. assign V515433 = V032672 - 1. assign V310991 = V431196 + 1. assign V714579 = V784512 + 1. assign V816144 = V302251 + 1. assign V824679 = V302251. assign V832427 = V336681.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV317862 = 8;\n\nFrom these direct assignment(s), we have: \nV092035 = V317862 = 8;\nNo other variables can be derived from V092035;\nNo other variables can be derived from V317862;\n\nNow we have done all the calculations. Derived variables are:\nV317862 = 8;\nV092035 = 8;\n\nNow we have finished this problem. ANSWER:\nV317862, V092035\n", "role": "assistant" } ]

[ "V682751" ]

[ { "content": "<context>\nassign V505660 = V812196 - 1. assign V170236 = V426760. assign V806027 = V728700. assign V629475 = V108628. assign V509533 = V925769. assign V149959 = V093764 + 1. assign V681205 = V416621 + 1. assign V845715 = V284657 - 1. assign V167992 = V423051 - 1. assign V054877 = V806027. assign V643080 = V363946 + 1. assign V146089 = V372510 + 1. assign V228097 = V220327 - 1. assign V327412 = V485970 + 1. assign V093764 = V845715. assign V257156 = V873436 - 1. assign V342462 = V149959 + 1. assign V430838 = V577557 + 1. assign V641202 = V000511 + 1. assign V660976 = V967479 - 1. assign V878353 = V359202. assign V108628 = V284657 - 1. assign V333596 = V505660 - 1. assign V472644 = V273691 + 1. assign V276384 = V257156 + 1. assign V503139 = V547822 - 1. assign V240007 = V662120 + 1. assign V796470 = V724953 + 1. assign V140026 = V643488 - 1. assign V625700 = V509533. assign V151039 = V798203 + 1. assign V000511 = V647793 - 1. assign V224542 = V625813. assign V938289 = V206674. assign V625813 = V925769. assign V641917 = V587661 - 1. assign V127201 = V098233 - 1. assign V345405 = V505660 + 1. assign V806012 = V783997. assign V433511 = V333596 - 1. assign V924957 = V264743 + 1. assign V565115 = V647702. assign V705708 = V313716 + 1. assign V704675 = V877201 - 1. assign V012116 = V331512 - 1. assign V376069 = V485970 + 1. assign V227172 = V806012 + 1. assign V137492 = V039578. assign V745662 = V284657. assign V547822 = V573878 + 1. assign V313716 = V647793 + 1. assign V313190 = V645237 + 1. assign V820342 = V783997 + 1. assign V194188 = V292242 + 1. assign V159905 = V779286 - 1. assign V183615 = V383542 - 1. assign V400613 = V264743. assign V042751 = V443182 + 1. assign V896903 = V129985 + 1. assign V232066 = V806027 - 1. assign V113718 = V509533 - 1. assign V682751 = V622429 - 1. assign V501913 = V628453 - 1. assign V783997 = V359202. assign V647702 = V754950 - 1. assign V662120 = V643080. assign V550594 = V391292 + 1. assign V590884 = V331512 + 1. assign V647793 = V873436. assign V385780 = V783997 + 1. assign V812196 = V754950 - 1. assign V292242 = V372510 + 1. assign V767358 = V472644 + 1. assign V443182 = V292242 + 1. assign V514878 = V625813 + 1. assign V833090 = V643080. assign V891501 = V625813. assign V550717 = V845715 + 1. assign V169862 = V129985. assign V881701 = V645237 + 1. assign V382258 = V387103. assign V944620 = V643080 + 1. assign V363946 = V754950. assign V545609 = V728700. assign V236226 = V967479 - 1. assign V416621 = V643080 + 1. assign V433678 = V896903 - 1. assign V112962 = V643488 - 1. assign V925769 = V108628. assign V645237 = V485970 - 1. assign V962602 = V878353 + 1. assign V429261 = V363946 + 1. assign V832665 = V804155 + 1. assign V765672 = V127201. assign V028892 = V472644 + 1. assign V220327 = V647702 + 1. assign V628453 = V093764 - 1. assign V404198 = V331512 - 1. assign V272819 = V363946 - 1. assign V056850 = V514878. assign V391292 = V098233 + 1. assign V782792 = V359202 - 1. assign V485970 = V745662 + 1. assign V020714 = V783997. assign V468631 = V491824 + 1. assign V423051 = V503139 + 1. assign V622429 = 0. assign V273691 = V505660 - 1. assign V701331 = V129985 - 1. assign V206674 = V284657. assign V664856 = V416621 - 1. assign V826304 = V257156 - 1. assign V643488 = V783997. assign V348721 = V137492 + 1. assign V183632 = V765914. assign V066947 = V643080. assign V902810 = V877201 + 1. assign V098233 = V878353. assign V239265 = V206674 + 1. assign V905860 = V363946 - 1. assign V070001 = V491824 - 1. assign V700876 = V416621 + 1. assign V129985 = V206674 - 1. assign V681387 = V169862. assign V612984 = V206674 + 1. assign V383105 = V126529 + 1. assign V218450 = V039578. assign V619477 = V169862. assign V804155 = V845715 + 1. assign V426760 = V108628 + 1. assign V387103 = V647702 - 1. assign V205992 = V048122 + 1. assign V728700 = V967479 - 1. assign V804755 = V625813 + 1. assign V743699 = V363946. assign V311563 = V612984 - 1. assign V284657 = V783997 - 1. assign V148573 = V701331 - 1. assign V126529 = V647702 - 1. assign V741890 = V376069 - 1. assign V175439 = V765914 + 1. assign V491824 = V175439 - 1. assign V331512 = V175439 + 1. assign V724953 = V239265 - 1. assign V779286 = V896903 + 1. assign V411307 = V896903. assign V967479 = V108628 - 1. assign V606514 = V754950 + 1. assign V774211 = V108628 + 1. assign V754950 = V359202 - 1. assign V274981 = V383105 - 1. assign V859993 = V205992 - 1. assign V039578 = V426760. assign V931246 = V224542 - 1. assign V499518 = V625700 - 1. assign V502708 = V878353 - 1. assign V048122 = V569603 + 1. assign V873436 = V220327 + 1. assign V115430 = V257156. assign V610066 = V873436 + 1. assign V577557 = V628453 + 1. assign V264743 = V129985. assign V765914 = V359202 - 1. assign V569603 = V284657. assign V383542 = V220327 - 1. assign V573878 = V629475 + 1. assign V587661 = V093764. assign V561640 = V426760 - 1. assign V798203 = V806012 + 1. assign V890011 = V416621 - 1. assign V877201 = V774211. assign V372510 = V569603 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V505660 = V812196 - 1. assign V170236 = V426760. assign V806027 = V728700. assign V629475 = V108628. assign V509533 = V925769. assign V149959 = V093764 + 1. assign V681205 = V416621 + 1. assign V845715 = V284657 - 1. assign V167992 = V423051 - 1. assign V054877 = V806027. assign V643080 = V363946 + 1. assign V146089 = V372510 + 1. assign V228097 = V220327 - 1. assign V327412 = V485970 + 1. assign V093764 = V845715. assign V257156 = V873436 - 1. assign V342462 = V149959 + 1. assign V430838 = V577557 + 1. assign V641202 = V000511 + 1. assign V660976 = V967479 - 1. assign V878353 = V359202. assign V108628 = V284657 - 1. assign V333596 = V505660 - 1. assign V472644 = V273691 + 1. assign V276384 = V257156 + 1. assign V503139 = V547822 - 1. assign V240007 = V662120 + 1. assign V796470 = V724953 + 1. assign V140026 = V643488 - 1. assign V625700 = V509533. assign V151039 = V798203 + 1. assign V000511 = V647793 - 1. assign V224542 = V625813. assign V938289 = V206674. assign V625813 = V925769. assign V641917 = V587661 - 1. assign V127201 = V098233 - 1. assign V345405 = V505660 + 1. assign V806012 = V783997. assign V433511 = V333596 - 1. assign V924957 = V264743 + 1. assign V565115 = V647702. assign V705708 = V313716 + 1. assign V704675 = V877201 - 1. assign V012116 = V331512 - 1. assign V376069 = V485970 + 1. assign V227172 = V806012 + 1. assign V137492 = V039578. assign V745662 = V284657. assign V547822 = V573878 + 1. assign V313716 = V647793 + 1. assign V313190 = V645237 + 1. assign V820342 = V783997 + 1. assign V194188 = V292242 + 1. assign V159905 = V779286 - 1. assign V183615 = V383542 - 1. assign V400613 = V264743. assign V042751 = V443182 + 1. assign V896903 = V129985 + 1. assign V232066 = V806027 - 1. assign V113718 = V509533 - 1. assign V682751 = V622429 - 1. assign V501913 = V628453 - 1. assign V783997 = V359202. assign V647702 = V754950 - 1. assign V662120 = V643080. assign V550594 = V391292 + 1. assign V590884 = V331512 + 1. assign V647793 = V873436. assign V385780 = V783997 + 1. assign V812196 = V754950 - 1. assign V292242 = V372510 + 1. assign V767358 = V472644 + 1. assign V443182 = V292242 + 1. assign V514878 = V625813 + 1. assign V833090 = V643080. assign V891501 = V625813. assign V550717 = V845715 + 1. assign V169862 = V129985. assign V881701 = V645237 + 1. assign V382258 = V387103. assign V944620 = V643080 + 1. assign V363946 = V754950. assign V545609 = V728700. assign V236226 = V967479 - 1. assign V416621 = V643080 + 1. assign V433678 = V896903 - 1. assign V112962 = V643488 - 1. assign V925769 = V108628. assign V645237 = V485970 - 1. assign V962602 = V878353 + 1. assign V429261 = V363946 + 1. assign V832665 = V804155 + 1. assign V765672 = V127201. assign V028892 = V472644 + 1. assign V220327 = V647702 + 1. assign V628453 = V093764 - 1. assign V404198 = V331512 - 1. assign V272819 = V363946 - 1. assign V056850 = V514878. assign V391292 = V098233 + 1. assign V782792 = V359202 - 1. assign V485970 = V745662 + 1. assign V020714 = V783997. assign V468631 = V491824 + 1. assign V423051 = V503139 + 1. assign V622429 = 0. assign V273691 = V505660 - 1. assign V701331 = V129985 - 1. assign V206674 = V284657. assign V664856 = V416621 - 1. assign V826304 = V257156 - 1. assign V643488 = V783997. assign V348721 = V137492 + 1. assign V183632 = V765914. assign V066947 = V643080. assign V902810 = V877201 + 1. assign V098233 = V878353. assign V239265 = V206674 + 1. assign V905860 = V363946 - 1. assign V070001 = V491824 - 1. assign V700876 = V416621 + 1. assign V129985 = V206674 - 1. assign V681387 = V169862. assign V612984 = V206674 + 1. assign V383105 = V126529 + 1. assign V218450 = V039578. assign V619477 = V169862. assign V804155 = V845715 + 1. assign V426760 = V108628 + 1. assign V387103 = V647702 - 1. assign V205992 = V048122 + 1. assign V728700 = V967479 - 1. assign V804755 = V625813 + 1. assign V743699 = V363946. assign V311563 = V612984 - 1. assign V284657 = V783997 - 1. assign V148573 = V701331 - 1. assign V126529 = V647702 - 1. assign V741890 = V376069 - 1. assign V175439 = V765914 + 1. assign V491824 = V175439 - 1. assign V331512 = V175439 + 1. assign V724953 = V239265 - 1. assign V779286 = V896903 + 1. assign V411307 = V896903. assign V967479 = V108628 - 1. assign V606514 = V754950 + 1. assign V774211 = V108628 + 1. assign V754950 = V359202 - 1. assign V274981 = V383105 - 1. assign V859993 = V205992 - 1. assign V039578 = V426760. assign V931246 = V224542 - 1. assign V499518 = V625700 - 1. assign V502708 = V878353 - 1. assign V048122 = V569603 + 1. assign V873436 = V220327 + 1. assign V115430 = V257156. assign V610066 = V873436 + 1. assign V577557 = V628453 + 1. assign V264743 = V129985. assign V765914 = V359202 - 1. assign V569603 = V284657. assign V383542 = V220327 - 1. assign V573878 = V629475 + 1. assign V587661 = V093764. assign V561640 = V426760 - 1. assign V798203 = V806012 + 1. assign V890011 = V416621 - 1. assign V877201 = V774211. assign V372510 = V569603 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV622429 = 0;\n\nFrom these direct assignment(s), we have: \nV682751 = V622429 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V682751;\nNo other variables can be derived from V622429;\n\nNow we have done all the calculations. Derived variables are:\nV622429 = 0;\nV682751 = -1;\n\nNow we have finished this problem. ANSWER:\nV682751\n", "role": "assistant" } ]

[ "V065354" ]

[ { "content": "<context>\nassign V372857 = V685579 + 1. assign V388321 = V571075 - 1. assign V717771 = V830911 + 1. assign V159649 = V871394. assign V464054 = V690541 + 1. assign V158963 = V711977. assign V464707 = V130107 + 1. assign V603191 = V180874 - 1. assign V984586 = V196988 + 1. assign V711977 = V828411 - 1. assign V028844 = 8. assign V542267 = V217228 + 1. assign V486919 = V437110. assign V106900 = V354905 - 1. assign V611266 = V667932 - 1. assign V842024 = V571075 + 1. assign V895576 = V602105. assign V612063 = V881703 + 1. assign V067121 = V491415 + 1. assign V853636 = V039866 - 1. assign V825307 = V466330 + 1. assign V560144 = V687136 + 1. assign V256101 = V016591 + 1. assign V237354 = V398178 - 1. assign V824983 = V690541 + 1. assign V130107 = V828411 - 1. assign V198095 = V571075 + 1. assign V166137 = V691176 - 1. assign V881703 = V042231. assign V736130 = V830911 - 1. assign V578277 = V253033 - 1. assign V767411 = V224593. assign V437110 = V687136. assign V687136 = V084098 + 1. assign V057002 = V412978 - 1. assign V086187 = V418970. assign V217228 = V042231 + 1. assign V715981 = V842024 - 1. assign V964157 = V838089 - 1. assign V807903 = V726572 - 1. assign V029352 = V295333. assign V530512 = V337992. assign V016591 = V037899. assign V722946 = V234626 + 1. assign V610112 = V042231 - 1. assign V726572 = V084098 + 1. assign V080882 = V895576 - 1. assign V938638 = V084098 - 1. assign V690541 = V201278 - 1. assign V039866 = V726572. assign V295333 = V102751 + 1. assign V557733 = V953589 + 1. assign V571630 = V747953. assign V310051 = V166137 + 1. assign V484598 = V256101 - 1. assign V202830 = V398178. assign V871394 = V536084 + 1. assign V864163 = V530512 - 1. assign V177795 = V571075. assign V624293 = V247395 - 1. assign V131376 = V542267 - 1. assign V002658 = V016591 + 1. assign V955314 = V491415 - 1. assign V687017 = V418970. assign V196988 = V687136. assign V897632 = V220323 + 1. assign V418970 = V201278 + 1. assign V042231 = V687136 + 1. assign V685579 = V421481 - 1. assign V719728 = V418970 - 1. assign V180874 = V084098 + 1. assign V477746 = V856314. assign V738366 = V871394 - 1. assign V841346 = V667932. assign V579001 = V698384 - 1. assign V667932 = V886716 + 1. assign V742814 = V667932 - 1. assign V290355 = V881703. assign V039286 = V886716 - 1. assign V055193 = V492842. assign V984679 = V888324 + 1. assign V777551 = V888324 - 1. assign V085279 = V571075 - 1. assign V368968 = V824983. assign V159393 = V736130 + 1. assign V536084 = V042231 + 1. assign V436267 = V717771 - 1. assign V267281 = V542267. assign V003097 = V354905 - 1. assign V465067 = V337992 - 1. assign V023977 = V016591. assign V154374 = V841346. assign V491415 = V726572 - 1. assign V128270 = V807903 - 1. assign V985827 = V825307 - 1. assign V242616 = V777551 + 1. assign V375772 = V610112 + 1. assign V317409 = V530512. assign V455728 = V437110 + 1. assign V224593 = V256101 + 1. assign V979802 = V434764 - 1. assign V691176 = V842024 + 1. assign V148661 = V196988. assign V050935 = V571075 - 1. assign V838089 = V388321 + 1. assign V999056 = V820633 + 1. assign V987236 = V871394 + 1. assign V858007 = V388321 + 1. assign V529949 = V557733. assign V215357 = V310051 + 1. assign V888324 = V560144 + 1. assign V642052 = V543963 - 1. assign V830911 = V437110 + 1. assign V586326 = V698384 - 1. assign V521358 = V736130 + 1. assign V158283 = V084098 - 1. assign V933136 = V571075. assign V709703 = V354905 + 1. assign V964832 = V938638. assign V422525 = V610112. assign V412978 = V610112 + 1. assign V828411 = V841346 + 1. assign V065354 = V028844 + 1. assign V503119 = V297564 + 1. assign V515957 = V016591 - 1. assign V602105 = V938638 + 1. assign V632146 = V747953 + 1. assign V436667 = V690541 - 1. assign V253033 = V388321. assign V220323 = V667932. assign V420271 = V726572. assign V698384 = V042231 + 1. assign V603069 = V999056. assign V354905 = V715981 + 1. assign V988760 = V542267 - 1. assign V866284 = V317409. assign V856314 = V084098. assign V820633 = V543963. assign V886716 = V881703 - 1. assign V571075 = V491415. assign V102751 = V828411 - 1. assign V084098 = V337992 - 1. assign V640427 = V337992 + 1. assign V007354 = V736130 - 1. assign V285600 = V159649. assign V668630 = V856314. assign V910257 = V864163. assign V740117 = V492842 + 1. assign V398178 = V436667. assign V466330 = V253033. assign V493596 = V465067 - 1. assign V747953 = V667932. assign V434764 = V317409 - 1. assign V228313 = V388321. assign V502772 = V830911 + 1. assign V719349 = V217228 + 1. assign V678074 = V736130 + 1. assign V995560 = V515957 - 1. assign V201278 = V687136. assign V297564 = V220323 + 1. assign V234626 = V690541. assign V492842 = V337992 + 1. assign V610816 = V715981 - 1. assign V308167 = V177795 - 1. assign V037899 = V881703. assign V953589 = V938638 + 1. assign V051254 = V871394 + 1. assign V543963 = V830911 - 1. assign V657721 = V543963 - 1. assign V487542 = V247395 + 1. assign V421481 = V308167 + 1. assign V247395 = V667932.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V372857 = V685579 + 1. assign V388321 = V571075 - 1. assign V717771 = V830911 + 1. assign V159649 = V871394. assign V464054 = V690541 + 1. assign V158963 = V711977. assign V464707 = V130107 + 1. assign V603191 = V180874 - 1. assign V984586 = V196988 + 1. assign V711977 = V828411 - 1. assign V028844 = 8. assign V542267 = V217228 + 1. assign V486919 = V437110. assign V106900 = V354905 - 1. assign V611266 = V667932 - 1. assign V842024 = V571075 + 1. assign V895576 = V602105. assign V612063 = V881703 + 1. assign V067121 = V491415 + 1. assign V853636 = V039866 - 1. assign V825307 = V466330 + 1. assign V560144 = V687136 + 1. assign V256101 = V016591 + 1. assign V237354 = V398178 - 1. assign V824983 = V690541 + 1. assign V130107 = V828411 - 1. assign V198095 = V571075 + 1. assign V166137 = V691176 - 1. assign V881703 = V042231. assign V736130 = V830911 - 1. assign V578277 = V253033 - 1. assign V767411 = V224593. assign V437110 = V687136. assign V687136 = V084098 + 1. assign V057002 = V412978 - 1. assign V086187 = V418970. assign V217228 = V042231 + 1. assign V715981 = V842024 - 1. assign V964157 = V838089 - 1. assign V807903 = V726572 - 1. assign V029352 = V295333. assign V530512 = V337992. assign V016591 = V037899. assign V722946 = V234626 + 1. assign V610112 = V042231 - 1. assign V726572 = V084098 + 1. assign V080882 = V895576 - 1. assign V938638 = V084098 - 1. assign V690541 = V201278 - 1. assign V039866 = V726572. assign V295333 = V102751 + 1. assign V557733 = V953589 + 1. assign V571630 = V747953. assign V310051 = V166137 + 1. assign V484598 = V256101 - 1. assign V202830 = V398178. assign V871394 = V536084 + 1. assign V864163 = V530512 - 1. assign V177795 = V571075. assign V624293 = V247395 - 1. assign V131376 = V542267 - 1. assign V002658 = V016591 + 1. assign V955314 = V491415 - 1. assign V687017 = V418970. assign V196988 = V687136. assign V897632 = V220323 + 1. assign V418970 = V201278 + 1. assign V042231 = V687136 + 1. assign V685579 = V421481 - 1. assign V719728 = V418970 - 1. assign V180874 = V084098 + 1. assign V477746 = V856314. assign V738366 = V871394 - 1. assign V841346 = V667932. assign V579001 = V698384 - 1. assign V667932 = V886716 + 1. assign V742814 = V667932 - 1. assign V290355 = V881703. assign V039286 = V886716 - 1. assign V055193 = V492842. assign V984679 = V888324 + 1. assign V777551 = V888324 - 1. assign V085279 = V571075 - 1. assign V368968 = V824983. assign V159393 = V736130 + 1. assign V536084 = V042231 + 1. assign V436267 = V717771 - 1. assign V267281 = V542267. assign V003097 = V354905 - 1. assign V465067 = V337992 - 1. assign V023977 = V016591. assign V154374 = V841346. assign V491415 = V726572 - 1. assign V128270 = V807903 - 1. assign V985827 = V825307 - 1. assign V242616 = V777551 + 1. assign V375772 = V610112 + 1. assign V317409 = V530512. assign V455728 = V437110 + 1. assign V224593 = V256101 + 1. assign V979802 = V434764 - 1. assign V691176 = V842024 + 1. assign V148661 = V196988. assign V050935 = V571075 - 1. assign V838089 = V388321 + 1. assign V999056 = V820633 + 1. assign V987236 = V871394 + 1. assign V858007 = V388321 + 1. assign V529949 = V557733. assign V215357 = V310051 + 1. assign V888324 = V560144 + 1. assign V642052 = V543963 - 1. assign V830911 = V437110 + 1. assign V586326 = V698384 - 1. assign V521358 = V736130 + 1. assign V158283 = V084098 - 1. assign V933136 = V571075. assign V709703 = V354905 + 1. assign V964832 = V938638. assign V422525 = V610112. assign V412978 = V610112 + 1. assign V828411 = V841346 + 1. assign V065354 = V028844 + 1. assign V503119 = V297564 + 1. assign V515957 = V016591 - 1. assign V602105 = V938638 + 1. assign V632146 = V747953 + 1. assign V436667 = V690541 - 1. assign V253033 = V388321. assign V220323 = V667932. assign V420271 = V726572. assign V698384 = V042231 + 1. assign V603069 = V999056. assign V354905 = V715981 + 1. assign V988760 = V542267 - 1. assign V866284 = V317409. assign V856314 = V084098. assign V820633 = V543963. assign V886716 = V881703 - 1. assign V571075 = V491415. assign V102751 = V828411 - 1. assign V084098 = V337992 - 1. assign V640427 = V337992 + 1. assign V007354 = V736130 - 1. assign V285600 = V159649. assign V668630 = V856314. assign V910257 = V864163. assign V740117 = V492842 + 1. assign V398178 = V436667. assign V466330 = V253033. assign V493596 = V465067 - 1. assign V747953 = V667932. assign V434764 = V317409 - 1. assign V228313 = V388321. assign V502772 = V830911 + 1. assign V719349 = V217228 + 1. assign V678074 = V736130 + 1. assign V995560 = V515957 - 1. assign V201278 = V687136. assign V297564 = V220323 + 1. assign V234626 = V690541. assign V492842 = V337992 + 1. assign V610816 = V715981 - 1. assign V308167 = V177795 - 1. assign V037899 = V881703. assign V953589 = V938638 + 1. assign V051254 = V871394 + 1. assign V543963 = V830911 - 1. assign V657721 = V543963 - 1. assign V487542 = V247395 + 1. assign V421481 = V308167 + 1. assign V247395 = V667932.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV028844 = 8;\n\nFrom these direct assignment(s), we have: \nV065354 = V028844 + 1 = 8 + 1 =9;\nNo other variables can be derived from V065354;\nNo other variables can be derived from V028844;\n\nNow we have done all the calculations. Derived variables are:\nV028844 = 8;\nV065354 = 9;\n\nNow we have finished this problem. ANSWER:\nV065354\n", "role": "assistant" } ]

[ "V720844" ]

[ { "content": "<context>\nassign V061812 = V827183 - 1. assign V289592 = V801641. assign V402696 = V224337 + 1. assign V459878 = V663638 + 1. assign V023675 = V941846 + 1. assign V787330 = V185590 + 1. assign V202020 = V892359 - 1. assign V874185 = V691453. assign V509780 = V395552. assign V496190 = V485926. assign V411104 = V529737 + 1. assign V384048 = V663638 + 1. assign V366921 = V021804. assign V820716 = V986515 + 1. assign V545308 = V617025 + 1. assign V770117 = V021804. assign V973930 = V185590 + 1. assign V762878 = V301760 + 1. assign V425748 = V978304. assign V281876 = V550914 - 1. assign V120327 = V308959. assign V635002 = V829702 - 1. assign V387546 = V617025 + 1. assign V972545 = V107994. assign V996762 = V480781 - 1. assign V986515 = V836686. assign V409913 = V407972. assign V585611 = V948168 - 1. assign V560019 = V434229 + 1. assign V729311 = V319059 + 1. assign V827984 = V083099 - 1. assign V691453 = V407972 - 1. assign V981604 = V485926 + 1. assign V311480 = V397087 + 1. assign V480781 = V973930 - 1. assign V943309 = V796817. assign V797435 = V838988. assign V238659 = V353950 + 1. assign V895886 = V224337. assign V154831 = V104245. assign V070485 = V763986 + 1. assign V660192 = V073118. assign V808176 = V154831. assign V224337 = V073118 - 1. assign V485926 = V108606 - 1. assign V595742 = V073118. assign V471892 = V107994 - 1. assign V080822 = V310122 - 1. assign V022050 = V047128 + 1. assign V035609 = V310122 - 1. assign V432829 = V709042 - 1. assign V004699 = V196014 + 1. assign V829702 = V864436. assign V827183 = V801641 + 1. assign V430224 = V310122 - 1. assign V974471 = V911559 - 1. assign V892359 = V663638. assign V220560 = V469448 + 1. assign V353950 = V641301. assign V422162 = V032041 - 1. assign V395552 = V073118 + 1. assign V047128 = V605850 + 1. assign V098576 = V996232 + 1. assign V107994 = V073118. assign V104245 = V120327 - 1. assign V001336 = V319059. assign V829167 = V685611. assign V589643 = V066461 + 1. assign V539184 = V376161 - 1. assign V407972 = V196014. assign V116473 = V601254. assign V271360 = V848638 - 1. assign V397462 = V986515 - 1. assign V776436 = V185590. assign V737954 = V709042. assign V032041 = V996232 + 1. assign V301760 = V459878 - 1. assign V078949 = V434229 - 1. assign V108606 = V996232 - 1. assign V427379 = V829167 - 1. assign V138299 = V948168. assign V396988 = V601254. assign V376161 = V308959 - 1. assign V717715 = V550263 + 1. assign V680265 = V083099 - 1. assign V503882 = V032041 + 1. assign V679672 = V663638 - 1. assign V268732 = V605850 - 1. assign V740746 = V601254. assign V030665 = V108606. assign V848638 = V621917 + 1. assign V533786 = 1. assign V727818 = V220560. assign V863592 = V685611. assign V763986 = V680265. assign V369699 = V302706. assign V252428 = V120327 + 1. assign V801641 = V595742 + 1. assign V413255 = V376161. assign V599105 = V679324. assign V836686 = V841337. assign V996232 = V796817 - 1. assign V765896 = V376161 - 1. assign V139208 = V589643. assign V941846 = V319059 - 1. assign V108981 = V503882 + 1. assign V361723 = V469448 - 1. assign V196014 = V605850 - 1. assign V056202 = V841337 + 1. assign V436021 = V308959 - 1. assign V718568 = V301760 + 1. assign V841337 = V605850. assign V340805 = V938987. assign V529737 = V509780 + 1. assign V783885 = V108606 - 1. assign V319059 = V073118 - 1. assign V302706 = V943309. assign V177888 = V185590 - 1. assign V624200 = V737954 - 1. assign V021804 = V829702 + 1. assign V099433 = V765896 + 1. assign V397087 = V765896. assign V145760 = V369699 - 1. assign V911559 = V459878 - 1. assign V720844 = V533786 - 1. assign V469448 = V827183 - 1. assign V310122 = V797435 + 1. assign V795333 = V663638 + 1. assign V238299 = V120327 + 1. assign V601254 = V829167. assign V454873 = V796817 + 1. assign V929568 = V056202. assign V617025 = V973930. assign V938987 = V895886. assign V002998 = V943309 - 1. assign V434229 = V308959. assign V098914 = V376161. assign V066461 = V679324 + 1. assign V571853 = V864436 + 1. assign V663638 = V595742 + 1. assign V940278 = V454873 - 1. assign V326187 = V308959 - 1. assign V948168 = V185590. assign V187514 = V624200. assign V285001 = V434229. assign V083099 = V895886 + 1. assign V621917 = V827183. assign V568897 = V660192. assign V641301 = V941846 - 1. assign V550914 = V765896 + 1. assign V197541 = V469448 + 1. assign V183304 = V522747. assign V709042 = V395552 + 1. assign V581274 = V485926 + 1. assign V679324 = V996762. assign V406297 = V310122 + 1. assign V038027 = V841337 - 1. assign V864436 = V289592 - 1. assign V685611 = V073118 + 1. assign V185590 = V864436. assign V838988 = V073118 + 1. assign V064057 = V154831 - 1. assign V566434 = V729311 - 1. assign V796817 = V709042 + 1. assign V085869 = V376161 + 1. assign V978304 = V073118. assign V731559 = V099433. assign V522747 = V829167. assign V558915 = V948168. assign V550263 = V197541 - 1. assign V308959 = V107994 - 1. assign V605850 = V595742 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V061812 = V827183 - 1. assign V289592 = V801641. assign V402696 = V224337 + 1. assign V459878 = V663638 + 1. assign V023675 = V941846 + 1. assign V787330 = V185590 + 1. assign V202020 = V892359 - 1. assign V874185 = V691453. assign V509780 = V395552. assign V496190 = V485926. assign V411104 = V529737 + 1. assign V384048 = V663638 + 1. assign V366921 = V021804. assign V820716 = V986515 + 1. assign V545308 = V617025 + 1. assign V770117 = V021804. assign V973930 = V185590 + 1. assign V762878 = V301760 + 1. assign V425748 = V978304. assign V281876 = V550914 - 1. assign V120327 = V308959. assign V635002 = V829702 - 1. assign V387546 = V617025 + 1. assign V972545 = V107994. assign V996762 = V480781 - 1. assign V986515 = V836686. assign V409913 = V407972. assign V585611 = V948168 - 1. assign V560019 = V434229 + 1. assign V729311 = V319059 + 1. assign V827984 = V083099 - 1. assign V691453 = V407972 - 1. assign V981604 = V485926 + 1. assign V311480 = V397087 + 1. assign V480781 = V973930 - 1. assign V943309 = V796817. assign V797435 = V838988. assign V238659 = V353950 + 1. assign V895886 = V224337. assign V154831 = V104245. assign V070485 = V763986 + 1. assign V660192 = V073118. assign V808176 = V154831. assign V224337 = V073118 - 1. assign V485926 = V108606 - 1. assign V595742 = V073118. assign V471892 = V107994 - 1. assign V080822 = V310122 - 1. assign V022050 = V047128 + 1. assign V035609 = V310122 - 1. assign V432829 = V709042 - 1. assign V004699 = V196014 + 1. assign V829702 = V864436. assign V827183 = V801641 + 1. assign V430224 = V310122 - 1. assign V974471 = V911559 - 1. assign V892359 = V663638. assign V220560 = V469448 + 1. assign V353950 = V641301. assign V422162 = V032041 - 1. assign V395552 = V073118 + 1. assign V047128 = V605850 + 1. assign V098576 = V996232 + 1. assign V107994 = V073118. assign V104245 = V120327 - 1. assign V001336 = V319059. assign V829167 = V685611. assign V589643 = V066461 + 1. assign V539184 = V376161 - 1. assign V407972 = V196014. assign V116473 = V601254. assign V271360 = V848638 - 1. assign V397462 = V986515 - 1. assign V776436 = V185590. assign V737954 = V709042. assign V032041 = V996232 + 1. assign V301760 = V459878 - 1. assign V078949 = V434229 - 1. assign V108606 = V996232 - 1. assign V427379 = V829167 - 1. assign V138299 = V948168. assign V396988 = V601254. assign V376161 = V308959 - 1. assign V717715 = V550263 + 1. assign V680265 = V083099 - 1. assign V503882 = V032041 + 1. assign V679672 = V663638 - 1. assign V268732 = V605850 - 1. assign V740746 = V601254. assign V030665 = V108606. assign V848638 = V621917 + 1. assign V533786 = 1. assign V727818 = V220560. assign V863592 = V685611. assign V763986 = V680265. assign V369699 = V302706. assign V252428 = V120327 + 1. assign V801641 = V595742 + 1. assign V413255 = V376161. assign V599105 = V679324. assign V836686 = V841337. assign V996232 = V796817 - 1. assign V765896 = V376161 - 1. assign V139208 = V589643. assign V941846 = V319059 - 1. assign V108981 = V503882 + 1. assign V361723 = V469448 - 1. assign V196014 = V605850 - 1. assign V056202 = V841337 + 1. assign V436021 = V308959 - 1. assign V718568 = V301760 + 1. assign V841337 = V605850. assign V340805 = V938987. assign V529737 = V509780 + 1. assign V783885 = V108606 - 1. assign V319059 = V073118 - 1. assign V302706 = V943309. assign V177888 = V185590 - 1. assign V624200 = V737954 - 1. assign V021804 = V829702 + 1. assign V099433 = V765896 + 1. assign V397087 = V765896. assign V145760 = V369699 - 1. assign V911559 = V459878 - 1. assign V720844 = V533786 - 1. assign V469448 = V827183 - 1. assign V310122 = V797435 + 1. assign V795333 = V663638 + 1. assign V238299 = V120327 + 1. assign V601254 = V829167. assign V454873 = V796817 + 1. assign V929568 = V056202. assign V617025 = V973930. assign V938987 = V895886. assign V002998 = V943309 - 1. assign V434229 = V308959. assign V098914 = V376161. assign V066461 = V679324 + 1. assign V571853 = V864436 + 1. assign V663638 = V595742 + 1. assign V940278 = V454873 - 1. assign V326187 = V308959 - 1. assign V948168 = V185590. assign V187514 = V624200. assign V285001 = V434229. assign V083099 = V895886 + 1. assign V621917 = V827183. assign V568897 = V660192. assign V641301 = V941846 - 1. assign V550914 = V765896 + 1. assign V197541 = V469448 + 1. assign V183304 = V522747. assign V709042 = V395552 + 1. assign V581274 = V485926 + 1. assign V679324 = V996762. assign V406297 = V310122 + 1. assign V038027 = V841337 - 1. assign V864436 = V289592 - 1. assign V685611 = V073118 + 1. assign V185590 = V864436. assign V838988 = V073118 + 1. assign V064057 = V154831 - 1. assign V566434 = V729311 - 1. assign V796817 = V709042 + 1. assign V085869 = V376161 + 1. assign V978304 = V073118. assign V731559 = V099433. assign V522747 = V829167. assign V558915 = V948168. assign V550263 = V197541 - 1. assign V308959 = V107994 - 1. assign V605850 = V595742 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV533786 = 1;\n\nFrom these direct assignment(s), we have: \nV720844 = V533786 - 1 = 1 - 1 =0;\nNo other variables can be derived from V720844;\nNo other variables can be derived from V533786;\n\nNow we have done all the calculations. Derived variables are:\nV533786 = 1;\nV720844 = 0;\n\nNow we have finished this problem. ANSWER:\nV720844\n", "role": "assistant" } ]

[ "V384231" ]

[ { "content": "<context>\nassign V190329 = V863427. assign V602978 = V813728 + 1. assign V092469 = V069089 + 1. assign V812721 = V113400. assign V798364 = V174726 + 1. assign V038218 = V863427 + 1. assign V778410 = V483877. assign V458194 = V614422 - 1. assign V430958 = V950379. assign V066709 = V070944. assign V971543 = V403508. assign V266278 = V614422. assign V552549 = V483877 + 1. assign V978446 = V684143. assign V522118 = V174726. assign V286410 = V129252. assign V520443 = V074498 + 1. assign V975239 = V088402 + 1. assign V384231 = 7. assign V617941 = V560203 - 1. assign V558562 = V315283 + 1. assign V525790 = V373292 + 1. assign V651366 = V070944. assign V072732 = V826416 + 1. assign V006606 = V899293 + 1. assign V392518 = V655587 + 1. assign V574645 = V852560 - 1. assign V556579 = V558833 - 1. assign V294435 = V819078. assign V838689 = V129252 + 1. assign V235718 = V403508 - 1. assign V243794 = V088402 + 1. assign V172704 = V607740. assign V927994 = V315283. assign V975230 = V778410. assign V506623 = V018480. assign V098970 = V403508 - 1. assign V085905 = V070433. assign V627385 = V018480 + 1. assign V793054 = V483877 + 1. assign V826416 = V129252. assign V274190 = V975230. assign V754279 = V801296 - 1. assign V082302 = V848589 - 1. assign V998289 = V607740. assign V557371 = V963671. assign V074498 = V129252. assign V488107 = V927994. assign V655587 = V971543. assign V515332 = V971543 + 1. assign V699363 = V978446 + 1. assign V667829 = V018480 - 1. assign V385692 = V538652 - 1. assign V437730 = V018480 - 1. assign V194529 = V837927 - 1. assign V323102 = V798364 + 1. assign V800481 = V848589. assign V633744 = V092469. assign V313908 = V899293 + 1. assign V618393 = V247652. assign V072944 = V614345 + 1. assign V729641 = V305266. assign V813728 = V506623. assign V692746 = V978446 + 1. assign V346827 = V458278 + 1. assign V787854 = V074498 + 1. assign V009158 = V975754 - 1. assign V139820 = V667829 - 1. assign V145296 = V018480 + 1. assign V614422 = V018480 + 1. assign V154261 = V592119 + 1. assign V374202 = V074498. assign V572185 = V009158 + 1. assign V247652 = V978446 - 1. assign V614345 = V801296 - 1. assign V483800 = V437730 + 1. assign V538652 = V483877 + 1. assign V403577 = V525790. assign V664827 = V174726 + 1. assign V188927 = V174726. assign V863427 = V781035. assign V426032 = V172704 - 1. assign V319766 = V958877 + 1. assign V632081 = V899293 - 1. assign V338642 = V801296. assign V413917 = V403508. assign V314249 = V793054. assign V146341 = V614422 - 1. assign V447005 = V684143 - 1. assign V182872 = V963671 + 1. assign V681272 = V070433. assign V848589 = V971543 - 1. assign V483877 = V070944. assign V415951 = V837927. assign V088402 = V069089. assign V852560 = V338642. assign V975754 = V403508. assign V705771 = V426032. assign V606536 = V886189. assign V070944 = V403508 - 1. assign V070433 = V781035 - 1. assign V189921 = V384231 - 1. assign V024205 = V790125 + 1. assign V191069 = V749308. assign V563739 = V274190. assign V593095 = V793054. assign V431578 = V754279 - 1. assign V184250 = V188927 + 1. assign V590461 = V346982 - 1. assign V886189 = V070433 - 1. assign V899293 = V651366 + 1. assign V224261 = V426032 - 1. assign V373292 = V592119. assign V790125 = V515332. assign V684143 = V515332 - 1. assign V182587 = V274190 + 1. assign V305266 = V592119 + 1. assign V781035 = V129252 - 1. assign V837927 = V009158. assign V560203 = V606536. assign V749308 = V274190. assign V584147 = V174726 - 1. assign V607740 = V070944 - 1. assign V674918 = V190329 - 1. assign V013399 = V975230 - 1. assign V925843 = V863427 - 1. assign V124289 = V247652 - 1. assign V951922 = V560203 + 1. assign V672219 = V798364. assign V417009 = V971543 - 1. assign V789903 = V506623 + 1. assign V819078 = V116626. assign V558833 = V998289 + 1. assign V108465 = V286410. assign V129252 = V798364 + 1. assign V963671 = V266278 - 1. assign V503492 = V963671. assign V950379 = V009158 + 1. assign V801296 = V403508 + 1. assign V232995 = V116626 + 1. assign V937047 = V392518. assign V668123 = V684143 - 1. assign V340569 = V506623 + 1. assign V280173 = V458194 - 1. assign V020168 = V338642 - 1. assign V018480 = V403508 - 1. assign V346982 = V655587 - 1. assign V878297 = V018480 - 1. assign V116626 = V971543 + 1. assign V383497 = V950379 - 1. assign V592119 = V286410. assign V857596 = V606536 - 1. assign V614799 = V925843 + 1. assign V958877 = V558833 - 1. assign V942286 = V790125 - 1. assign V738427 = V613663 - 1. assign V174726 = V018480 + 1. assign V363628 = V684143. assign V544465 = V950379 - 1. assign V455850 = V098970 + 1. assign V090992 = V672219 - 1. assign V613663 = V194529 + 1. assign V458278 = V018480 - 1. assign V113400 = V430958 - 1. assign V082111 = V627385 - 1. assign V928602 = V975754. assign V652147 = V584147 - 1. assign V885113 = V243794. assign V518946 = V813728. assign V069089 = V145296. assign V315283 = V848589 + 1. assign V444778 = V684143.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V190329 = V863427. assign V602978 = V813728 + 1. assign V092469 = V069089 + 1. assign V812721 = V113400. assign V798364 = V174726 + 1. assign V038218 = V863427 + 1. assign V778410 = V483877. assign V458194 = V614422 - 1. assign V430958 = V950379. assign V066709 = V070944. assign V971543 = V403508. assign V266278 = V614422. assign V552549 = V483877 + 1. assign V978446 = V684143. assign V522118 = V174726. assign V286410 = V129252. assign V520443 = V074498 + 1. assign V975239 = V088402 + 1. assign V384231 = 7. assign V617941 = V560203 - 1. assign V558562 = V315283 + 1. assign V525790 = V373292 + 1. assign V651366 = V070944. assign V072732 = V826416 + 1. assign V006606 = V899293 + 1. assign V392518 = V655587 + 1. assign V574645 = V852560 - 1. assign V556579 = V558833 - 1. assign V294435 = V819078. assign V838689 = V129252 + 1. assign V235718 = V403508 - 1. assign V243794 = V088402 + 1. assign V172704 = V607740. assign V927994 = V315283. assign V975230 = V778410. assign V506623 = V018480. assign V098970 = V403508 - 1. assign V085905 = V070433. assign V627385 = V018480 + 1. assign V793054 = V483877 + 1. assign V826416 = V129252. assign V274190 = V975230. assign V754279 = V801296 - 1. assign V082302 = V848589 - 1. assign V998289 = V607740. assign V557371 = V963671. assign V074498 = V129252. assign V488107 = V927994. assign V655587 = V971543. assign V515332 = V971543 + 1. assign V699363 = V978446 + 1. assign V667829 = V018480 - 1. assign V385692 = V538652 - 1. assign V437730 = V018480 - 1. assign V194529 = V837927 - 1. assign V323102 = V798364 + 1. assign V800481 = V848589. assign V633744 = V092469. assign V313908 = V899293 + 1. assign V618393 = V247652. assign V072944 = V614345 + 1. assign V729641 = V305266. assign V813728 = V506623. assign V692746 = V978446 + 1. assign V346827 = V458278 + 1. assign V787854 = V074498 + 1. assign V009158 = V975754 - 1. assign V139820 = V667829 - 1. assign V145296 = V018480 + 1. assign V614422 = V018480 + 1. assign V154261 = V592119 + 1. assign V374202 = V074498. assign V572185 = V009158 + 1. assign V247652 = V978446 - 1. assign V614345 = V801296 - 1. assign V483800 = V437730 + 1. assign V538652 = V483877 + 1. assign V403577 = V525790. assign V664827 = V174726 + 1. assign V188927 = V174726. assign V863427 = V781035. assign V426032 = V172704 - 1. assign V319766 = V958877 + 1. assign V632081 = V899293 - 1. assign V338642 = V801296. assign V413917 = V403508. assign V314249 = V793054. assign V146341 = V614422 - 1. assign V447005 = V684143 - 1. assign V182872 = V963671 + 1. assign V681272 = V070433. assign V848589 = V971543 - 1. assign V483877 = V070944. assign V415951 = V837927. assign V088402 = V069089. assign V852560 = V338642. assign V975754 = V403508. assign V705771 = V426032. assign V606536 = V886189. assign V070944 = V403508 - 1. assign V070433 = V781035 - 1. assign V189921 = V384231 - 1. assign V024205 = V790125 + 1. assign V191069 = V749308. assign V563739 = V274190. assign V593095 = V793054. assign V431578 = V754279 - 1. assign V184250 = V188927 + 1. assign V590461 = V346982 - 1. assign V886189 = V070433 - 1. assign V899293 = V651366 + 1. assign V224261 = V426032 - 1. assign V373292 = V592119. assign V790125 = V515332. assign V684143 = V515332 - 1. assign V182587 = V274190 + 1. assign V305266 = V592119 + 1. assign V781035 = V129252 - 1. assign V837927 = V009158. assign V560203 = V606536. assign V749308 = V274190. assign V584147 = V174726 - 1. assign V607740 = V070944 - 1. assign V674918 = V190329 - 1. assign V013399 = V975230 - 1. assign V925843 = V863427 - 1. assign V124289 = V247652 - 1. assign V951922 = V560203 + 1. assign V672219 = V798364. assign V417009 = V971543 - 1. assign V789903 = V506623 + 1. assign V819078 = V116626. assign V558833 = V998289 + 1. assign V108465 = V286410. assign V129252 = V798364 + 1. assign V963671 = V266278 - 1. assign V503492 = V963671. assign V950379 = V009158 + 1. assign V801296 = V403508 + 1. assign V232995 = V116626 + 1. assign V937047 = V392518. assign V668123 = V684143 - 1. assign V340569 = V506623 + 1. assign V280173 = V458194 - 1. assign V020168 = V338642 - 1. assign V018480 = V403508 - 1. assign V346982 = V655587 - 1. assign V878297 = V018480 - 1. assign V116626 = V971543 + 1. assign V383497 = V950379 - 1. assign V592119 = V286410. assign V857596 = V606536 - 1. assign V614799 = V925843 + 1. assign V958877 = V558833 - 1. assign V942286 = V790125 - 1. assign V738427 = V613663 - 1. assign V174726 = V018480 + 1. assign V363628 = V684143. assign V544465 = V950379 - 1. assign V455850 = V098970 + 1. assign V090992 = V672219 - 1. assign V613663 = V194529 + 1. assign V458278 = V018480 - 1. assign V113400 = V430958 - 1. assign V082111 = V627385 - 1. assign V928602 = V975754. assign V652147 = V584147 - 1. assign V885113 = V243794. assign V518946 = V813728. assign V069089 = V145296. assign V315283 = V848589 + 1. assign V444778 = V684143.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV384231 = 7;\n\nFrom these direct assignment(s), we have: \nV189921 = V384231 - 1 = 7 - 1 =6;\nNo other variables can be derived from V189921;\nNo other variables can be derived from V384231;\n\nNow we have done all the calculations. Derived variables are:\nV384231 = 7;\nV189921 = 6;\n\nNow we have finished this problem. ANSWER:\nV384231\n", "role": "assistant" } ]

[ "V055265" ]

[ { "content": "<context>\nassign V550956 = V919675 - 1. assign V998546 = V550956 - 1. assign V116887 = V229479. assign V334437 = V160502. assign V120859 = V892459. assign V466381 = V374322 + 1. assign V882941 = V826493 - 1. assign V579925 = V096161. assign V887244 = V069634 + 1. assign V309261 = V034506. assign V456994 = V229947 - 1. assign V291390 = V789616 + 1. assign V626517 = V888444 - 1. assign V819019 = V025281 - 1. assign V738837 = V119261 - 1. assign V440876 = V272650 - 1. assign V611529 = V170500 + 1. assign V075983 = V096161 - 1. assign V382107 = V374322 - 1. assign V238960 = V666334. assign V585782 = V346197 - 1. assign V763785 = V170500. assign V476491 = V164023. assign V257154 = V069634 + 1. assign V685672 = V395917 + 1. assign V335803 = V119261 + 1. assign V291091 = V334437. assign V945018 = V691534. assign V357268 = V119261 + 1. assign V339593 = V611529 - 1. assign V968515 = V374322 + 1. assign V055265 = V106745 - 1. assign V692224 = V891897. assign V025281 = V511409 + 1. assign V506168 = V626517 + 1. assign V591388 = V356056 + 1. assign V420079 = V789616 + 1. assign V361208 = V826493 + 1. assign V229947 = V356056. assign V502069 = V063806. assign V895276 = V328767 - 1. assign V259643 = V182840 + 1. assign V624882 = V069634 + 1. assign V210397 = V905244. assign V038436 = V034506. assign V543573 = V592089 - 1. assign V146166 = V119261 - 1. assign V987458 = V666334 - 1. assign V977810 = V290944. assign V888444 = V466381. assign V863092 = V164023 - 1. assign V938827 = V043369 + 1. assign V980811 = V434033. assign V021314 = V967316. assign V063806 = V466381. assign V521197 = V568447. assign V691534 = V374322 + 1. assign V125237 = V241751 - 1. assign V318711 = V502062 - 1. assign V949654 = V119261 - 1. assign V931258 = V743906. assign V395917 = V038436. assign V119261 = V675766 - 1. assign V194928 = V382107 - 1. assign V900698 = V331653. assign V127840 = V793442 + 1. assign V229479 = V382107 - 1. assign V043369 = V783106. assign V821534 = V420079 - 1. assign V095416 = V881124 + 1. assign V239260 = V895276 + 1. assign V511409 = V491805 + 1. assign V170500 = V810864 + 1. assign V031018 = V356056 - 1. assign V063638 = V144771 - 1. assign V021918 = V708826 - 1. assign V764442 = V738837 + 1. assign V374322 = V810864 - 1. assign V789616 = V374322 + 1. assign V568447 = V394541 - 1. assign V881124 = V891897. assign V592089 = V025281. assign V743906 = V229947 + 1. assign V718793 = V394541 + 1. assign V005807 = V420079. assign V666334 = V225571. assign V967316 = V905244 + 1. assign V272650 = V502069 - 1. assign V346197 = V164023. assign V826493 = V356056. assign V109781 = V446938 + 1. assign V096161 = V170500 - 1. assign V892459 = V738837 + 1. assign V810864 = V199888. assign V878971 = V611529. assign V453795 = V675766. assign V169384 = V881124 + 1. assign V160502 = V666334. assign V149477 = V585782. assign V805432 = V878971. assign V159235 = V919675 + 1. assign V290944 = V737556 - 1. assign V255410 = V272650. assign V521002 = V973807 - 1. assign V215024 = V585782. assign V142510 = V356056 - 1. assign V385374 = V159235 - 1. assign V446938 = V624882. assign V491805 = V063806 + 1. assign V587223 = V346197. assign V783106 = V034506 + 1. assign V905244 = V291390. assign V477445 = V361208 + 1. assign V233792 = V477445 + 1. assign V356056 = V810864. assign V006759 = V882941 - 1. assign V734765 = V531746 + 1. assign V749938 = V579925. assign V023655 = V239260. assign V865743 = V945018 - 1. assign V891897 = V810864 + 1. assign V902291 = V144771 - 1. assign V109848 = V182840. assign V331653 = V021918 + 1. assign V162844 = V356056. assign V170069 = V069634 - 1. assign V115008 = V159235 + 1. assign V973807 = V531746 - 1. assign V956571 = V069634. assign V808583 = V923553. assign V328767 = V888444 + 1. assign V755163 = V708826 + 1. assign V843181 = V568447 - 1. assign V255548 = V229947. assign V182840 = V968515. assign V651764 = V832362 + 1. assign V737556 = V162844. assign V270241 = V374322 + 1. assign V708826 = V069634 + 1. assign V259244 = V476491 + 1. assign V502062 = V075983 - 1. assign V787239 = V749938. assign V164023 = V199888 + 1. assign V460793 = V334437 - 1. assign V069634 = V737556 - 1. assign V434033 = V466381. assign V775263 = V968515 + 1. assign V488819 = V763785 - 1. assign V832362 = V789616. assign V948634 = V356056. assign V923553 = V096161. assign V662192 = V031018 + 1. assign V144771 = V967316 + 1. assign V225571 = V162844. assign V531746 = V708826 - 1. assign V307298 = V967316 + 1. assign V606504 = V585782. assign V394541 = V159235 - 1. assign V799116 = V385374 + 1. assign V034506 = V420079. assign V919675 = V199888 + 1. assign V793442 = V159235 - 1. assign V703722 = V691534. assign V875986 = V334437. assign V552551 = V973807 + 1. assign V932122 = V374322 + 1. assign V884604 = V919675. assign V241751 = V692224. assign V106745 = 10. assign V675766 = V328767 - 1. assign V424568 = V881124. assign V585166 = V738837.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V550956 = V919675 - 1. assign V998546 = V550956 - 1. assign V116887 = V229479. assign V334437 = V160502. assign V120859 = V892459. assign V466381 = V374322 + 1. assign V882941 = V826493 - 1. assign V579925 = V096161. assign V887244 = V069634 + 1. assign V309261 = V034506. assign V456994 = V229947 - 1. assign V291390 = V789616 + 1. assign V626517 = V888444 - 1. assign V819019 = V025281 - 1. assign V738837 = V119261 - 1. assign V440876 = V272650 - 1. assign V611529 = V170500 + 1. assign V075983 = V096161 - 1. assign V382107 = V374322 - 1. assign V238960 = V666334. assign V585782 = V346197 - 1. assign V763785 = V170500. assign V476491 = V164023. assign V257154 = V069634 + 1. assign V685672 = V395917 + 1. assign V335803 = V119261 + 1. assign V291091 = V334437. assign V945018 = V691534. assign V357268 = V119261 + 1. assign V339593 = V611529 - 1. assign V968515 = V374322 + 1. assign V055265 = V106745 - 1. assign V692224 = V891897. assign V025281 = V511409 + 1. assign V506168 = V626517 + 1. assign V591388 = V356056 + 1. assign V420079 = V789616 + 1. assign V361208 = V826493 + 1. assign V229947 = V356056. assign V502069 = V063806. assign V895276 = V328767 - 1. assign V259643 = V182840 + 1. assign V624882 = V069634 + 1. assign V210397 = V905244. assign V038436 = V034506. assign V543573 = V592089 - 1. assign V146166 = V119261 - 1. assign V987458 = V666334 - 1. assign V977810 = V290944. assign V888444 = V466381. assign V863092 = V164023 - 1. assign V938827 = V043369 + 1. assign V980811 = V434033. assign V021314 = V967316. assign V063806 = V466381. assign V521197 = V568447. assign V691534 = V374322 + 1. assign V125237 = V241751 - 1. assign V318711 = V502062 - 1. assign V949654 = V119261 - 1. assign V931258 = V743906. assign V395917 = V038436. assign V119261 = V675766 - 1. assign V194928 = V382107 - 1. assign V900698 = V331653. assign V127840 = V793442 + 1. assign V229479 = V382107 - 1. assign V043369 = V783106. assign V821534 = V420079 - 1. assign V095416 = V881124 + 1. assign V239260 = V895276 + 1. assign V511409 = V491805 + 1. assign V170500 = V810864 + 1. assign V031018 = V356056 - 1. assign V063638 = V144771 - 1. assign V021918 = V708826 - 1. assign V764442 = V738837 + 1. assign V374322 = V810864 - 1. assign V789616 = V374322 + 1. assign V568447 = V394541 - 1. assign V881124 = V891897. assign V592089 = V025281. assign V743906 = V229947 + 1. assign V718793 = V394541 + 1. assign V005807 = V420079. assign V666334 = V225571. assign V967316 = V905244 + 1. assign V272650 = V502069 - 1. assign V346197 = V164023. assign V826493 = V356056. assign V109781 = V446938 + 1. assign V096161 = V170500 - 1. assign V892459 = V738837 + 1. assign V810864 = V199888. assign V878971 = V611529. assign V453795 = V675766. assign V169384 = V881124 + 1. assign V160502 = V666334. assign V149477 = V585782. assign V805432 = V878971. assign V159235 = V919675 + 1. assign V290944 = V737556 - 1. assign V255410 = V272650. assign V521002 = V973807 - 1. assign V215024 = V585782. assign V142510 = V356056 - 1. assign V385374 = V159235 - 1. assign V446938 = V624882. assign V491805 = V063806 + 1. assign V587223 = V346197. assign V783106 = V034506 + 1. assign V905244 = V291390. assign V477445 = V361208 + 1. assign V233792 = V477445 + 1. assign V356056 = V810864. assign V006759 = V882941 - 1. assign V734765 = V531746 + 1. assign V749938 = V579925. assign V023655 = V239260. assign V865743 = V945018 - 1. assign V891897 = V810864 + 1. assign V902291 = V144771 - 1. assign V109848 = V182840. assign V331653 = V021918 + 1. assign V162844 = V356056. assign V170069 = V069634 - 1. assign V115008 = V159235 + 1. assign V973807 = V531746 - 1. assign V956571 = V069634. assign V808583 = V923553. assign V328767 = V888444 + 1. assign V755163 = V708826 + 1. assign V843181 = V568447 - 1. assign V255548 = V229947. assign V182840 = V968515. assign V651764 = V832362 + 1. assign V737556 = V162844. assign V270241 = V374322 + 1. assign V708826 = V069634 + 1. assign V259244 = V476491 + 1. assign V502062 = V075983 - 1. assign V787239 = V749938. assign V164023 = V199888 + 1. assign V460793 = V334437 - 1. assign V069634 = V737556 - 1. assign V434033 = V466381. assign V775263 = V968515 + 1. assign V488819 = V763785 - 1. assign V832362 = V789616. assign V948634 = V356056. assign V923553 = V096161. assign V662192 = V031018 + 1. assign V144771 = V967316 + 1. assign V225571 = V162844. assign V531746 = V708826 - 1. assign V307298 = V967316 + 1. assign V606504 = V585782. assign V394541 = V159235 - 1. assign V799116 = V385374 + 1. assign V034506 = V420079. assign V919675 = V199888 + 1. assign V793442 = V159235 - 1. assign V703722 = V691534. assign V875986 = V334437. assign V552551 = V973807 + 1. assign V932122 = V374322 + 1. assign V884604 = V919675. assign V241751 = V692224. assign V106745 = 10. assign V675766 = V328767 - 1. assign V424568 = V881124. assign V585166 = V738837.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV106745 = 10;\n\nFrom these direct assignment(s), we have: \nV055265 = V106745 - 1 = 10 - 1 =9;\nNo other variables can be derived from V055265;\nNo other variables can be derived from V106745;\n\nNow we have done all the calculations. Derived variables are:\nV106745 = 10;\nV055265 = 9;\n\nNow we have finished this problem. ANSWER:\nV055265\n", "role": "assistant" } ]

[ "V682125", "V221731" ]

[ { "content": "<context>\nassign V297458 = V883069 - 1. assign V180035 = V521439 + 1. assign V956078 = V935621 - 1. assign V294935 = V062104. assign V072420 = V215543 + 1. assign V315922 = V397118 - 1. assign V321454 = V943871 - 1. assign V081728 = V251689 + 1. assign V515310 = V378216 - 1. assign V835586 = V180444 + 1. assign V499037 = V619008. assign V263105 = V453443 + 1. assign V241511 = V378216 - 1. assign V063791 = V765691 + 1. assign V347106 = V134000. assign V924528 = V444460. assign V550554 = V284386. assign V935621 = V444460. assign V378751 = V658130 + 1. assign V917828 = V444460 + 1. assign V077376 = V344976 + 1. assign V948831 = V377826 + 1. assign V661919 = V321454. assign V320212 = V857885. assign V614152 = V552653 + 1. assign V607605 = V552653 - 1. assign V953460 = V187564. assign V221731 = V682125. assign V447567 = V654705 + 1. assign V921661 = V765209. assign V633371 = V607605 - 1. assign V641211 = V447567 + 1. assign V562522 = V347106 - 1. assign V036977 = V643694 - 1. assign V815762 = V643694. assign V607734 = V726635. assign V674491 = V750432 - 1. assign V197955 = V397118 - 1. assign V857885 = V215543. assign V875740 = V215543 - 1. assign V483153 = V499037. assign V134000 = V654705 + 1. assign V750432 = V619008. assign V572567 = V081728 - 1. assign V726635 = V943871. assign V533429 = V215543 + 1. assign V619008 = V943871 - 1. assign V397118 = V765209 - 1. assign V532749 = V072420 - 1. assign V682125 = 5. assign V475299 = V444460. assign V499429 = V077376. assign V313586 = V187564 - 1. assign V228332 = V634331. assign V925709 = V081728. assign V660008 = V308205 - 1. assign V988218 = V872114. assign V662352 = V588256 - 1. assign V180444 = V459952. assign V326214 = V875740. assign V196889 = V943347. assign V490250 = V943347 - 1. assign V251689 = V134000 - 1. assign V712113 = V490250 - 1. assign V552653 = V654705. assign V699255 = V872114 - 1. assign V531074 = V320212. assign V255670 = V875740. assign V634331 = V815762 + 1. assign V765691 = V674491 - 1. assign V879099 = V815762 - 1. assign V102320 = V875740 + 1. assign V637322 = V326214. assign V505908 = V453443. assign V357046 = V924181 + 1. assign V228579 = V953460. assign V943871 = V654705. assign V770201 = V977127 + 1. assign V173202 = V313586 - 1. assign V643694 = V066534 + 1. assign V264986 = V505908 + 1. assign V561822 = V533429 + 1. assign V599613 = V643694. assign V189506 = V634669 - 1. assign V714362 = V924181 + 1. assign V379365 = V770201. assign V311718 = V397118 + 1. assign V377826 = V943871. assign V025027 = V531074. assign V000858 = V474487 + 1. assign V712502 = V658130. assign V924181 = V433200 - 1. assign V475390 = V641211 - 1. assign V344976 = V924528 - 1. assign V273979 = V180035 + 1. assign V977127 = V485090 - 1. assign V830922 = V956164 - 1. assign V666071 = V490250 - 1. assign V187564 = V924528 + 1. assign V326895 = V521439 - 1. assign V627299 = V883399 + 1. assign V891406 = V320212 + 1. assign V304224 = V726635 + 1. assign V281517 = V180035 + 1. assign V694691 = V999794 - 1. assign V608101 = V251689 - 1. assign V419078 = V499037. assign V515760 = V531074 - 1. assign V539949 = V072420. assign V819811 = V977127 - 1. assign V474487 = V062104. assign V427979 = V187564. assign V096441 = V654705. assign V255507 = V172709 + 1. assign V999794 = V459952 - 1. assign V787568 = V819811 + 1. assign V883399 = V299974. assign V634669 = V134000 - 1. assign V593622 = V058951 - 1. assign V215543 = V499037. assign V459952 = V215543. assign V566904 = V320212. assign V603968 = V187376 + 1. assign V839703 = V607605. assign V956164 = V934787 + 1. assign V889158 = V815762 + 1. assign V658130 = V096441. assign V521439 = V658130 + 1. assign V314919 = V634669. assign V527690 = V643694. assign V066534 = V552653. assign V485090 = V072420. assign V943347 = V934787. assign V449846 = V532749. assign V699834 = V562522 - 1. assign V261952 = V254672 + 1. assign V378216 = V634669. assign V812529 = V315922. assign V879186 = V231859 + 1. assign V034447 = V344976 - 1. assign V406396 = V603968 + 1. assign V231859 = V883399. assign V955436 = V081728 + 1. assign V308205 = V750432 + 1. assign V237453 = V943347. assign V861989 = V815762. assign V444460 = V447567 + 1. assign V800605 = V651928. assign V284386 = V633371 + 1. assign V453443 = V991443 - 1. assign V058951 = V532749 + 1. assign V842433 = V566904. assign V651928 = V607605. assign V496008 = V875740. assign V765209 = V304224 + 1. assign V062104 = V943347 + 1. assign V172709 = V314919. assign V187376 = V953460. assign V934787 = V134000. assign V588422 = V314919 + 1. assign V433200 = V228579 + 1. assign V454761 = V187564 + 1. assign V588256 = V419078 + 1. assign V760175 = V321454 - 1. assign V872114 = V532749. assign V883069 = V566904 + 1. assign V299974 = V552653 + 1. assign V418321 = V699834 + 1. assign V991443 = V377826. assign V823742 = V081728 - 1. assign V916490 = V634331 + 1. assign V254672 = V619008 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V297458 = V883069 - 1. assign V180035 = V521439 + 1. assign V956078 = V935621 - 1. assign V294935 = V062104. assign V072420 = V215543 + 1. assign V315922 = V397118 - 1. assign V321454 = V943871 - 1. assign V081728 = V251689 + 1. assign V515310 = V378216 - 1. assign V835586 = V180444 + 1. assign V499037 = V619008. assign V263105 = V453443 + 1. assign V241511 = V378216 - 1. assign V063791 = V765691 + 1. assign V347106 = V134000. assign V924528 = V444460. assign V550554 = V284386. assign V935621 = V444460. assign V378751 = V658130 + 1. assign V917828 = V444460 + 1. assign V077376 = V344976 + 1. assign V948831 = V377826 + 1. assign V661919 = V321454. assign V320212 = V857885. assign V614152 = V552653 + 1. assign V607605 = V552653 - 1. assign V953460 = V187564. assign V221731 = V682125. assign V447567 = V654705 + 1. assign V921661 = V765209. assign V633371 = V607605 - 1. assign V641211 = V447567 + 1. assign V562522 = V347106 - 1. assign V036977 = V643694 - 1. assign V815762 = V643694. assign V607734 = V726635. assign V674491 = V750432 - 1. assign V197955 = V397118 - 1. assign V857885 = V215543. assign V875740 = V215543 - 1. assign V483153 = V499037. assign V134000 = V654705 + 1. assign V750432 = V619008. assign V572567 = V081728 - 1. assign V726635 = V943871. assign V533429 = V215543 + 1. assign V619008 = V943871 - 1. assign V397118 = V765209 - 1. assign V532749 = V072420 - 1. assign V682125 = 5. assign V475299 = V444460. assign V499429 = V077376. assign V313586 = V187564 - 1. assign V228332 = V634331. assign V925709 = V081728. assign V660008 = V308205 - 1. assign V988218 = V872114. assign V662352 = V588256 - 1. assign V180444 = V459952. assign V326214 = V875740. assign V196889 = V943347. assign V490250 = V943347 - 1. assign V251689 = V134000 - 1. assign V712113 = V490250 - 1. assign V552653 = V654705. assign V699255 = V872114 - 1. assign V531074 = V320212. assign V255670 = V875740. assign V634331 = V815762 + 1. assign V765691 = V674491 - 1. assign V879099 = V815762 - 1. assign V102320 = V875740 + 1. assign V637322 = V326214. assign V505908 = V453443. assign V357046 = V924181 + 1. assign V228579 = V953460. assign V943871 = V654705. assign V770201 = V977127 + 1. assign V173202 = V313586 - 1. assign V643694 = V066534 + 1. assign V264986 = V505908 + 1. assign V561822 = V533429 + 1. assign V599613 = V643694. assign V189506 = V634669 - 1. assign V714362 = V924181 + 1. assign V379365 = V770201. assign V311718 = V397118 + 1. assign V377826 = V943871. assign V025027 = V531074. assign V000858 = V474487 + 1. assign V712502 = V658130. assign V924181 = V433200 - 1. assign V475390 = V641211 - 1. assign V344976 = V924528 - 1. assign V273979 = V180035 + 1. assign V977127 = V485090 - 1. assign V830922 = V956164 - 1. assign V666071 = V490250 - 1. assign V187564 = V924528 + 1. assign V326895 = V521439 - 1. assign V627299 = V883399 + 1. assign V891406 = V320212 + 1. assign V304224 = V726635 + 1. assign V281517 = V180035 + 1. assign V694691 = V999794 - 1. assign V608101 = V251689 - 1. assign V419078 = V499037. assign V515760 = V531074 - 1. assign V539949 = V072420. assign V819811 = V977127 - 1. assign V474487 = V062104. assign V427979 = V187564. assign V096441 = V654705. assign V255507 = V172709 + 1. assign V999794 = V459952 - 1. assign V787568 = V819811 + 1. assign V883399 = V299974. assign V634669 = V134000 - 1. assign V593622 = V058951 - 1. assign V215543 = V499037. assign V459952 = V215543. assign V566904 = V320212. assign V603968 = V187376 + 1. assign V839703 = V607605. assign V956164 = V934787 + 1. assign V889158 = V815762 + 1. assign V658130 = V096441. assign V521439 = V658130 + 1. assign V314919 = V634669. assign V527690 = V643694. assign V066534 = V552653. assign V485090 = V072420. assign V943347 = V934787. assign V449846 = V532749. assign V699834 = V562522 - 1. assign V261952 = V254672 + 1. assign V378216 = V634669. assign V812529 = V315922. assign V879186 = V231859 + 1. assign V034447 = V344976 - 1. assign V406396 = V603968 + 1. assign V231859 = V883399. assign V955436 = V081728 + 1. assign V308205 = V750432 + 1. assign V237453 = V943347. assign V861989 = V815762. assign V444460 = V447567 + 1. assign V800605 = V651928. assign V284386 = V633371 + 1. assign V453443 = V991443 - 1. assign V058951 = V532749 + 1. assign V842433 = V566904. assign V651928 = V607605. assign V496008 = V875740. assign V765209 = V304224 + 1. assign V062104 = V943347 + 1. assign V172709 = V314919. assign V187376 = V953460. assign V934787 = V134000. assign V588422 = V314919 + 1. assign V433200 = V228579 + 1. assign V454761 = V187564 + 1. assign V588256 = V419078 + 1. assign V760175 = V321454 - 1. assign V872114 = V532749. assign V883069 = V566904 + 1. assign V299974 = V552653 + 1. assign V418321 = V699834 + 1. assign V991443 = V377826. assign V823742 = V081728 - 1. assign V916490 = V634331 + 1. assign V254672 = V619008 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV682125 = 5;\n\nFrom these direct assignment(s), we have: \nV221731 = V682125 = 5;\nNo other variables can be derived from V221731;\nNo other variables can be derived from V682125;\n\nNow we have done all the calculations. Derived variables are:\nV682125 = 5;\nV221731 = 5;\n\nNow we have finished this problem. ANSWER:\nV682125, V221731\n", "role": "assistant" } ]

[ "V357441", "V834300" ]

[ { "content": "<context>\nassign V845859 = V024182 - 1. assign V832879 = V501545 - 1. assign V009921 = V428626 + 1. assign V079554 = V096984 + 1. assign V662751 = V166592 + 1. assign V629993 = V832879. assign V008463 = V895943. assign V212515 = V297069. assign V349190 = V971352 + 1. assign V426431 = V856495. assign V295416 = V908384. assign V843374 = V277143 - 1. assign V796999 = V908384 + 1. assign V401622 = V371229. assign V762019 = V886803 + 1. assign V890524 = V104401. assign V885759 = V418356. assign V144145 = V471731. assign V318509 = V330649. assign V722214 = V144145 + 1. assign V034321 = V118227 + 1. assign V352264 = V843374 - 1. assign V592488 = V540562. assign V685972 = V426431. assign V632711 = V442054 - 1. assign V941475 = V993946 + 1. assign V413405 = V971352 - 1. assign V795447 = V548886 - 1. assign V418356 = V330649. assign V521333 = V941475 + 1. assign V355774 = V087870 - 1. assign V000297 = V501545. assign V585326 = V843374 - 1. assign V249452 = V863779. assign V596134 = V442054 + 1. assign V680118 = V422832. assign V499454 = V079673 - 1. assign V864090 = V202948 + 1. assign V513108 = V104401 - 1. assign V096984 = V330649. assign V894909 = V866632 + 1. assign V537178 = V270410 + 1. assign V551909 = V008463 - 1. assign V890583 = V975598. assign V819062 = V070638 - 1. assign V471731 = V212227 + 1. assign V863779 = V079673 - 1. assign V845948 = V890524. assign V027511 = V426986. assign V357441 = 2. assign V658507 = V854897. assign V862516 = V845317 + 1. assign V913355 = V061265 - 1. assign V422832 = V890524 - 1. assign V270410 = V611049 - 1. assign V550478 = V442054. assign V498618 = V212227. assign V382328 = V426431 + 1. assign V170358 = V611049 - 1. assign V428626 = V533280 + 1. assign V594981 = V742476. assign V299106 = V885759 + 1. assign V750858 = V585326 - 1. assign V895943 = V212515 + 1. assign V543930 = V750858 - 1. assign V918200 = V297069 + 1. assign V751817 = V079673 - 1. assign V882404 = V349190. assign V228429 = V980449 + 1. assign V266760 = V498618 + 1. assign V087870 = V144145. assign V436268 = V174620. assign V949230 = V471731 - 1. assign V258462 = V604544 + 1. assign V957017 = V079673 - 1. assign V929947 = V168479. assign V348219 = V895943 + 1. assign V781804 = V680118 - 1. assign V341568 = V948222 - 1. assign V971352 = V885759 + 1. assign V768136 = V611049 + 1. assign V436192 = V353608 + 1. assign V933760 = V104401 - 1. assign V592261 = V027511 - 1. assign V908384 = V845948 - 1. assign V623610 = V426986 - 1. assign V191213 = V283402 - 1. assign V052673 = V318509 - 1. assign V526744 = V330649 - 1. assign V086027 = V249452. assign V968967 = V854897 + 1. assign V166592 = V594981. assign V118541 = V796999 + 1. assign V371229 = V863779 - 1. assign V851661 = V501545. assign V804054 = V279004 + 1. assign V322239 = V908384 - 1. assign V752926 = V526744. assign V168251 = V330649. assign V293204 = V722214. assign V470421 = V027511 - 1. assign V168734 = V501365 - 1. assign V167863 = V109677 + 1. assign V104401 = V079673. assign V766551 = V957017 - 1. assign V204086 = V413405 - 1. assign V061265 = V594981. assign V297069 = V856495. assign V540562 = V895943 + 1. assign V171028 = V742476 - 1. assign V019571 = V178691 + 1. assign V938639 = V751817. assign V238930 = V297069 - 1. assign V109677 = V845948 - 1. assign V658989 = V104401. assign V856495 = V863779. assign V469009 = V104401 - 1. assign V363926 = V254595. assign V426986 = V469009 + 1. assign V583132 = V144145. assign V696301 = V401622 + 1. assign V064483 = V594981. assign V533280 = V168251 - 1. assign V024182 = V064483 + 1. assign V212227 = V079673. assign V975598 = V950014 + 1. assign V850018 = V501545. assign V950014 = V249452 - 1. assign V277143 = V933760 + 1. assign V993946 = V469009. assign V283402 = V034321. assign V279004 = V886803 - 1. assign V501545 = V498618 - 1. assign V479082 = V843374 + 1. assign V330649 = V501365 + 1. assign V326884 = V318509. assign V168479 = V277143 + 1. assign V742476 = V079673. assign V611049 = V471731 + 1. assign V948222 = V604544 - 1. assign V385120 = V845979 + 1. assign V442054 = V277143 - 1. assign V886803 = V330649 + 1. assign V905497 = V890524. assign V174620 = V353608 - 1. assign V118227 = V929947 + 1. assign V473042 = V363926. assign V202948 = V971352. assign V718642 = V428626 + 1. assign V811769 = V980449. assign V501365 = V933760 - 1. assign V845317 = V070638 - 1. assign V536012 = V385120 + 1. assign V976642 = V885759. assign V850408 = V863779 - 1. assign V845979 = V172798 + 1. assign V353608 = V277143 - 1. assign V254595 = V501365 + 1. assign V346856 = V948222 - 1. assign V178691 = V096984 + 1. assign V045278 = V851661 - 1. assign V854897 = V212227 - 1. assign V980449 = V845948 - 1. assign V872405 = V742476. assign V172798 = V501365 - 1. assign V584037 = V950014. assign V697616 = V426431 + 1. assign V070638 = V144145. assign V834300 = V357441. assign V604544 = V498618 - 1. assign V548886 = V863779. assign V866632 = V850408 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V845859 = V024182 - 1. assign V832879 = V501545 - 1. assign V009921 = V428626 + 1. assign V079554 = V096984 + 1. assign V662751 = V166592 + 1. assign V629993 = V832879. assign V008463 = V895943. assign V212515 = V297069. assign V349190 = V971352 + 1. assign V426431 = V856495. assign V295416 = V908384. assign V843374 = V277143 - 1. assign V796999 = V908384 + 1. assign V401622 = V371229. assign V762019 = V886803 + 1. assign V890524 = V104401. assign V885759 = V418356. assign V144145 = V471731. assign V318509 = V330649. assign V722214 = V144145 + 1. assign V034321 = V118227 + 1. assign V352264 = V843374 - 1. assign V592488 = V540562. assign V685972 = V426431. assign V632711 = V442054 - 1. assign V941475 = V993946 + 1. assign V413405 = V971352 - 1. assign V795447 = V548886 - 1. assign V418356 = V330649. assign V521333 = V941475 + 1. assign V355774 = V087870 - 1. assign V000297 = V501545. assign V585326 = V843374 - 1. assign V249452 = V863779. assign V596134 = V442054 + 1. assign V680118 = V422832. assign V499454 = V079673 - 1. assign V864090 = V202948 + 1. assign V513108 = V104401 - 1. assign V096984 = V330649. assign V894909 = V866632 + 1. assign V537178 = V270410 + 1. assign V551909 = V008463 - 1. assign V890583 = V975598. assign V819062 = V070638 - 1. assign V471731 = V212227 + 1. assign V863779 = V079673 - 1. assign V845948 = V890524. assign V027511 = V426986. assign V357441 = 2. assign V658507 = V854897. assign V862516 = V845317 + 1. assign V913355 = V061265 - 1. assign V422832 = V890524 - 1. assign V270410 = V611049 - 1. assign V550478 = V442054. assign V498618 = V212227. assign V382328 = V426431 + 1. assign V170358 = V611049 - 1. assign V428626 = V533280 + 1. assign V594981 = V742476. assign V299106 = V885759 + 1. assign V750858 = V585326 - 1. assign V895943 = V212515 + 1. assign V543930 = V750858 - 1. assign V918200 = V297069 + 1. assign V751817 = V079673 - 1. assign V882404 = V349190. assign V228429 = V980449 + 1. assign V266760 = V498618 + 1. assign V087870 = V144145. assign V436268 = V174620. assign V949230 = V471731 - 1. assign V258462 = V604544 + 1. assign V957017 = V079673 - 1. assign V929947 = V168479. assign V348219 = V895943 + 1. assign V781804 = V680118 - 1. assign V341568 = V948222 - 1. assign V971352 = V885759 + 1. assign V768136 = V611049 + 1. assign V436192 = V353608 + 1. assign V933760 = V104401 - 1. assign V592261 = V027511 - 1. assign V908384 = V845948 - 1. assign V623610 = V426986 - 1. assign V191213 = V283402 - 1. assign V052673 = V318509 - 1. assign V526744 = V330649 - 1. assign V086027 = V249452. assign V968967 = V854897 + 1. assign V166592 = V594981. assign V118541 = V796999 + 1. assign V371229 = V863779 - 1. assign V851661 = V501545. assign V804054 = V279004 + 1. assign V322239 = V908384 - 1. assign V752926 = V526744. assign V168251 = V330649. assign V293204 = V722214. assign V470421 = V027511 - 1. assign V168734 = V501365 - 1. assign V167863 = V109677 + 1. assign V104401 = V079673. assign V766551 = V957017 - 1. assign V204086 = V413405 - 1. assign V061265 = V594981. assign V297069 = V856495. assign V540562 = V895943 + 1. assign V171028 = V742476 - 1. assign V019571 = V178691 + 1. assign V938639 = V751817. assign V238930 = V297069 - 1. assign V109677 = V845948 - 1. assign V658989 = V104401. assign V856495 = V863779. assign V469009 = V104401 - 1. assign V363926 = V254595. assign V426986 = V469009 + 1. assign V583132 = V144145. assign V696301 = V401622 + 1. assign V064483 = V594981. assign V533280 = V168251 - 1. assign V024182 = V064483 + 1. assign V212227 = V079673. assign V975598 = V950014 + 1. assign V850018 = V501545. assign V950014 = V249452 - 1. assign V277143 = V933760 + 1. assign V993946 = V469009. assign V283402 = V034321. assign V279004 = V886803 - 1. assign V501545 = V498618 - 1. assign V479082 = V843374 + 1. assign V330649 = V501365 + 1. assign V326884 = V318509. assign V168479 = V277143 + 1. assign V742476 = V079673. assign V611049 = V471731 + 1. assign V948222 = V604544 - 1. assign V385120 = V845979 + 1. assign V442054 = V277143 - 1. assign V886803 = V330649 + 1. assign V905497 = V890524. assign V174620 = V353608 - 1. assign V118227 = V929947 + 1. assign V473042 = V363926. assign V202948 = V971352. assign V718642 = V428626 + 1. assign V811769 = V980449. assign V501365 = V933760 - 1. assign V845317 = V070638 - 1. assign V536012 = V385120 + 1. assign V976642 = V885759. assign V850408 = V863779 - 1. assign V845979 = V172798 + 1. assign V353608 = V277143 - 1. assign V254595 = V501365 + 1. assign V346856 = V948222 - 1. assign V178691 = V096984 + 1. assign V045278 = V851661 - 1. assign V854897 = V212227 - 1. assign V980449 = V845948 - 1. assign V872405 = V742476. assign V172798 = V501365 - 1. assign V584037 = V950014. assign V697616 = V426431 + 1. assign V070638 = V144145. assign V834300 = V357441. assign V604544 = V498618 - 1. assign V548886 = V863779. assign V866632 = V850408 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV357441 = 2;\n\nFrom these direct assignment(s), we have: \nV834300 = V357441 = 2;\nNo other variables can be derived from V834300;\nNo other variables can be derived from V357441;\n\nNow we have done all the calculations. Derived variables are:\nV357441 = 2;\nV834300 = 2;\n\nNow we have finished this problem. ANSWER:\nV357441, V834300\n", "role": "assistant" } ]

[ "V659853", "V560622" ]

[ { "content": "<context>\nassign V726488 = V804655 - 1. assign V127961 = V072406. assign V538989 = V763750 + 1. assign V799741 = V127075 - 1. assign V006048 = V554574. assign V804655 = V538989. assign V931316 = V011402. assign V681447 = V715754 + 1. assign V001206 = V819264. assign V085351 = V868279 + 1. assign V841591 = V027337. assign V475044 = V505271 + 1. assign V799034 = V800595 + 1. assign V591377 = V192815 - 1. assign V690975 = V613844 - 1. assign V893197 = V571703. assign V506630 = V197547 - 1. assign V235205 = V137729. assign V080349 = V472930 + 1. assign V236269 = V554574 + 1. assign V299903 = V229620 + 1. assign V558898 = V891698. assign V697566 = V376106. assign V229620 = V429685 - 1. assign V815302 = V723624. assign V516234 = V723624 + 1. assign V376106 = V783462 + 1. assign V186215 = V137729 + 1. assign V555303 = V627109. assign V828689 = V939743. assign V607872 = V577073 + 1. assign V800595 = V883593 - 1. assign V525003 = V440788 - 1. assign V305699 = V825674 - 1. assign V266378 = V776405. assign V166484 = V739414 + 1. assign V340949 = V842207 + 1. assign V372914 = V939743. assign V678625 = V222315. assign V660628 = V459639 + 1. assign V029679 = V513623 - 1. assign V974547 = V620685 + 1. assign V653475 = V197547. assign V454161 = V538989. assign V697821 = V613844 - 1. assign V033684 = V538989. assign V337300 = V763750 + 1. assign V472930 = V144405. assign V588523 = V825674 + 1. assign V939743 = V197547 - 1. assign V739414 = V726488. assign V505271 = V305699. assign V880892 = V894914 + 1. assign V807099 = V868279 - 1. assign V517687 = V891698 - 1. assign V546445 = V199456. assign V894914 = V147870 - 1. assign V985955 = V936096 - 1. assign V092785 = V166484 + 1. assign V513623 = V917546. assign V368661 = V085351 - 1. assign V620685 = V152068 - 1. assign V732048 = V917546 - 1. assign V206145 = V152068 + 1. assign V135045 = V416647 - 1. assign V783462 = V763750 - 1. assign V395781 = V591377 - 1. assign V440002 = V472930 - 1. assign V923495 = V072406. assign V222315 = V554574 - 1. assign V392118 = V939159. assign V560622 = V659853. assign V936096 = V147870 + 1. assign V078282 = V222315 - 1. assign V207298 = V009373. assign V318929 = V655761. assign V939159 = V764219 + 1. assign V142052 = V197547 - 1. assign V772750 = V516234 + 1. assign V911121 = V605157 - 1. assign V459639 = V613844 - 1. assign V009373 = V690975 + 1. assign V144405 = V825674 - 1. assign V330008 = V681447. assign V819264 = V697566 - 1. assign V501861 = V825674 - 1. assign V440788 = V939743. assign V571703 = V127961 - 1. assign V416647 = V763750 + 1. assign V868279 = V578489 - 1. assign V152068 = V006048. assign V233732 = V166218. assign V690765 = V732048 + 1. assign V748438 = V825674. assign V192815 = V197547 + 1. assign V842207 = V462097 + 1. assign V659971 = V085351. assign V503021 = V653475 + 1. assign V027337 = V891698 - 1. assign V199456 = V825674 - 1. assign V645493 = V939159 + 1. assign V182884 = V454161 - 1. assign V496607 = V763750. assign V230225 = V613844. assign V605157 = V939743 - 1. assign V715754 = V127075 - 1. assign V633028 = V613844. assign V462097 = V763750 + 1. assign V095424 = V936096 + 1. assign V627109 = V891698 + 1. assign V072406 = V690975 + 1. assign V554574 = V023039. assign V859928 = V690975 + 1. assign V939197 = V891698 - 1. assign V147870 = V144405. assign V917546 = V144405 + 1. assign V197547 = V776405 - 1. assign V252742 = V062381 - 1. assign V011402 = V936096 + 1. assign V863199 = V825674 + 1. assign V183379 = V588523. assign V137729 = V888699. assign V888699 = V127075. assign V235639 = V305699. assign V751271 = V459639 - 1. assign V601549 = V440002 - 1. assign V859829 = V095424 - 1. assign V776405 = V891698 - 1. assign V659853 = 9. assign V825674 = V763750 + 1. assign V516089 = V726488. assign V609637 = V440788 - 1. assign V766356 = V883593. assign V166218 = V859928 + 1. assign V429685 = V800595. assign V153983 = V029679 - 1. assign V420397 = V166218. assign V468605 = V372914 + 1. assign V522111 = V778510 + 1. assign V655761 = V863199 - 1. assign V402851 = V062381. assign V135311 = V192815. assign V127075 = V776405. assign V062381 = V372914. assign V010341 = V607872 + 1. assign V355869 = V863199. assign V764219 = V891698 - 1. assign V120419 = V748438. assign V567421 = V235205. assign V023039 = V305699. assign V778510 = V825674 - 1. assign V883147 = V588810 - 1. assign V451425 = V715754 + 1. assign V565360 = V493535 - 1. assign V588810 = V472930. assign V493535 = V763750 - 1. assign V577073 = V783462 + 1. assign V648483 = V472930 + 1. assign V891698 = V144405 + 1. assign V061825 = V305699. assign V542336 = V660628. assign V613844 = V440788. assign V359959 = V501861 + 1. assign V789871 = V459639 + 1. assign V418715 = V192815 - 1. assign V277848 = V459639 - 1. assign V376716 = V715754 - 1. assign V579245 = V493535 - 1. assign V578489 = V192815 + 1. assign V883593 = V192815 + 1. assign V723624 = V776405. assign V146686 = V783462.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V726488 = V804655 - 1. assign V127961 = V072406. assign V538989 = V763750 + 1. assign V799741 = V127075 - 1. assign V006048 = V554574. assign V804655 = V538989. assign V931316 = V011402. assign V681447 = V715754 + 1. assign V001206 = V819264. assign V085351 = V868279 + 1. assign V841591 = V027337. assign V475044 = V505271 + 1. assign V799034 = V800595 + 1. assign V591377 = V192815 - 1. assign V690975 = V613844 - 1. assign V893197 = V571703. assign V506630 = V197547 - 1. assign V235205 = V137729. assign V080349 = V472930 + 1. assign V236269 = V554574 + 1. assign V299903 = V229620 + 1. assign V558898 = V891698. assign V697566 = V376106. assign V229620 = V429685 - 1. assign V815302 = V723624. assign V516234 = V723624 + 1. assign V376106 = V783462 + 1. assign V186215 = V137729 + 1. assign V555303 = V627109. assign V828689 = V939743. assign V607872 = V577073 + 1. assign V800595 = V883593 - 1. assign V525003 = V440788 - 1. assign V305699 = V825674 - 1. assign V266378 = V776405. assign V166484 = V739414 + 1. assign V340949 = V842207 + 1. assign V372914 = V939743. assign V678625 = V222315. assign V660628 = V459639 + 1. assign V029679 = V513623 - 1. assign V974547 = V620685 + 1. assign V653475 = V197547. assign V454161 = V538989. assign V697821 = V613844 - 1. assign V033684 = V538989. assign V337300 = V763750 + 1. assign V472930 = V144405. assign V588523 = V825674 + 1. assign V939743 = V197547 - 1. assign V739414 = V726488. assign V505271 = V305699. assign V880892 = V894914 + 1. assign V807099 = V868279 - 1. assign V517687 = V891698 - 1. assign V546445 = V199456. assign V894914 = V147870 - 1. assign V985955 = V936096 - 1. assign V092785 = V166484 + 1. assign V513623 = V917546. assign V368661 = V085351 - 1. assign V620685 = V152068 - 1. assign V732048 = V917546 - 1. assign V206145 = V152068 + 1. assign V135045 = V416647 - 1. assign V783462 = V763750 - 1. assign V395781 = V591377 - 1. assign V440002 = V472930 - 1. assign V923495 = V072406. assign V222315 = V554574 - 1. assign V392118 = V939159. assign V560622 = V659853. assign V936096 = V147870 + 1. assign V078282 = V222315 - 1. assign V207298 = V009373. assign V318929 = V655761. assign V939159 = V764219 + 1. assign V142052 = V197547 - 1. assign V772750 = V516234 + 1. assign V911121 = V605157 - 1. assign V459639 = V613844 - 1. assign V009373 = V690975 + 1. assign V144405 = V825674 - 1. assign V330008 = V681447. assign V819264 = V697566 - 1. assign V501861 = V825674 - 1. assign V440788 = V939743. assign V571703 = V127961 - 1. assign V416647 = V763750 + 1. assign V868279 = V578489 - 1. assign V152068 = V006048. assign V233732 = V166218. assign V690765 = V732048 + 1. assign V748438 = V825674. assign V192815 = V197547 + 1. assign V842207 = V462097 + 1. assign V659971 = V085351. assign V503021 = V653475 + 1. assign V027337 = V891698 - 1. assign V199456 = V825674 - 1. assign V645493 = V939159 + 1. assign V182884 = V454161 - 1. assign V496607 = V763750. assign V230225 = V613844. assign V605157 = V939743 - 1. assign V715754 = V127075 - 1. assign V633028 = V613844. assign V462097 = V763750 + 1. assign V095424 = V936096 + 1. assign V627109 = V891698 + 1. assign V072406 = V690975 + 1. assign V554574 = V023039. assign V859928 = V690975 + 1. assign V939197 = V891698 - 1. assign V147870 = V144405. assign V917546 = V144405 + 1. assign V197547 = V776405 - 1. assign V252742 = V062381 - 1. assign V011402 = V936096 + 1. assign V863199 = V825674 + 1. assign V183379 = V588523. assign V137729 = V888699. assign V888699 = V127075. assign V235639 = V305699. assign V751271 = V459639 - 1. assign V601549 = V440002 - 1. assign V859829 = V095424 - 1. assign V776405 = V891698 - 1. assign V659853 = 9. assign V825674 = V763750 + 1. assign V516089 = V726488. assign V609637 = V440788 - 1. assign V766356 = V883593. assign V166218 = V859928 + 1. assign V429685 = V800595. assign V153983 = V029679 - 1. assign V420397 = V166218. assign V468605 = V372914 + 1. assign V522111 = V778510 + 1. assign V655761 = V863199 - 1. assign V402851 = V062381. assign V135311 = V192815. assign V127075 = V776405. assign V062381 = V372914. assign V010341 = V607872 + 1. assign V355869 = V863199. assign V764219 = V891698 - 1. assign V120419 = V748438. assign V567421 = V235205. assign V023039 = V305699. assign V778510 = V825674 - 1. assign V883147 = V588810 - 1. assign V451425 = V715754 + 1. assign V565360 = V493535 - 1. assign V588810 = V472930. assign V493535 = V763750 - 1. assign V577073 = V783462 + 1. assign V648483 = V472930 + 1. assign V891698 = V144405 + 1. assign V061825 = V305699. assign V542336 = V660628. assign V613844 = V440788. assign V359959 = V501861 + 1. assign V789871 = V459639 + 1. assign V418715 = V192815 - 1. assign V277848 = V459639 - 1. assign V376716 = V715754 - 1. assign V579245 = V493535 - 1. assign V578489 = V192815 + 1. assign V883593 = V192815 + 1. assign V723624 = V776405. assign V146686 = V783462.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV659853 = 9;\n\nFrom these direct assignment(s), we have: \nV560622 = V659853 = 9;\nNo other variables can be derived from V560622;\nNo other variables can be derived from V659853;\n\nNow we have done all the calculations. Derived variables are:\nV659853 = 9;\nV560622 = 9;\n\nNow we have finished this problem. ANSWER:\nV659853, V560622\n", "role": "assistant" } ]

[ "V644112" ]

[ { "content": "<context>\nassign V870644 = V077778 - 1. assign V772367 = V150837. assign V933107 = V647121 + 1. assign V035773 = V405882 - 1. assign V277189 = V365662 - 1. assign V538087 = V975513 - 1. assign V064717 = V518121 + 1. assign V883237 = V277189 + 1. assign V820592 = V915763. assign V099454 = V870644 + 1. assign V029558 = V211311. assign V186803 = V451306. assign V150769 = V695044. assign V372343 = 2. assign V126953 = V381013 - 1. assign V036475 = V824308 + 1. assign V768856 = V227051 + 1. assign V546707 = V126953 - 1. assign V819337 = V546707 + 1. assign V421234 = V460033 + 1. assign V679777 = V292980 - 1. assign V065495 = V826482. assign V302777 = V737510 - 1. assign V865800 = V422335 + 1. assign V786622 = V147333 + 1. assign V527652 = V758904. assign V793035 = V786622 - 1. assign V926343 = V839934 - 1. assign V890627 = V690138 + 1. assign V416626 = V275324 - 1. assign V833119 = V873475 - 1. assign V116202 = V405882 - 1. assign V152653 = V057161. assign V487224 = V848449 + 1. assign V633352 = V902639. assign V969901 = V734753 + 1. assign V902639 = V835352 - 1. assign V895019 = V655158 - 1. assign V248263 = V793035 - 1. assign V240536 = V011050. assign V260156 = V214598 + 1. assign V224482 = V695044 + 1. assign V219082 = V116202 + 1. assign V068631 = V037936 + 1. assign V734753 = V422335 - 1. assign V561583 = V926343 - 1. assign V442798 = V899514 - 1. assign V482603 = V064390 + 1. assign V824443 = V234326 - 1. assign V793056 = V037936 - 1. assign V365662 = V381013 + 1. assign V503898 = V793035. assign V495342 = V711004. assign V314484 = V890627 - 1. assign V561029 = V768856 - 1. assign V191028 = V899514 + 1. assign V739810 = V690138 + 1. assign V572728 = V737510. assign V118296 = V839934 - 1. assign V826482 = V303601 - 1. assign V133466 = V015870. assign V015870 = V065495. assign V057161 = V690138 - 1. assign V172919 = V303601 - 1. assign V211311 = V826482. assign V405882 = V152653. assign V899514 = V915763. assign V862358 = V150837 - 1. assign V740950 = V111321 - 1. assign V205626 = V482114. assign V824308 = V192876 - 1. assign V535065 = V460033. assign V150837 = V690138 - 1. assign V736529 = V679777 - 1. assign V873475 = V890627. assign V303601 = V926343 - 1. assign V644112 = V372343 - 1. assign V101822 = V227051. assign V632145 = V247463 - 1. assign V214598 = V126953 + 1. assign V077778 = V890627. assign V480597 = V437514. assign V730505 = V077778 - 1. assign V451306 = V444110 + 1. assign V460033 = V873475. assign V135129 = V862358 - 1. assign V482114 = V781423 + 1. assign V975513 = V992393 + 1. assign V283788 = V303601 - 1. assign V576699 = V283788 - 1. assign V853954 = V940078 - 1. assign V146788 = V793035. assign V829900 = V293971 + 1. assign V037936 = V227051. assign V755219 = V695044 - 1. assign V737510 = V833538. assign V064390 = V902639. assign V758904 = V839934. assign V940078 = V786622 - 1. assign V688743 = V305243. assign V111321 = V833538 - 1. assign V091106 = V381013 - 1. assign V234326 = V758904 - 1. assign V109486 = V921593 - 1. assign V490690 = V460033 - 1. assign V848449 = V057161 + 1. assign V305243 = V126953. assign V810526 = V848449. assign V293971 = V862358 - 1. assign V579765 = V736529. assign V219689 = V688743 - 1. assign V647121 = V460033. assign V291198 = V248263. assign V833538 = V758904 + 1. assign V781423 = V940078. assign V372585 = V224482 + 1. assign V975595 = V992393 + 1. assign V020405 = V824443 - 1. assign V012025 = V305243 - 1. assign V298383 = V647121 - 1. assign V298646 = V835352 - 1. assign V093625 = V212632 + 1. assign V074645 = V020405 - 1. assign V153559 = V035773 - 1. assign V949567 = V365662 + 1. assign V764398 = V633352. assign V037179 = V133466. assign V992393 = V898656 + 1. assign V437514 = V011050 + 1. assign V259055 = V740950. assign V109639 = V227051 + 1. assign V711004 = V283788 + 1. assign V247463 = V292980 - 1. assign V655158 = V561583 + 1. assign V971216 = V150837 + 1. assign V954233 = V853954 - 1. assign V437821 = V730505. assign V641723 = V365662 - 1. assign V422335 = V150837 - 1. assign V444110 = V839934 - 1. assign V518121 = V011050. assign V707191 = V971216. assign V690138 = V381013 + 1. assign V578327 = V546707 - 1. assign V086510 = V793035 + 1. assign V839934 = V873475 - 1. assign V227051 = V890627 + 1. assign V540203 = V291198. assign V435617 = V820592. assign V898540 = V975513 - 1. assign V147333 = V690138. assign V331574 = V895019 + 1. assign V283920 = V234326 - 1. assign V835352 = V460033. assign V192876 = V898656 + 1. assign V266128 = V437514 + 1. assign V661083 = V679777. assign V212632 = V902639 + 1. assign V969529 = V314484 - 1. assign V814578 = V227051. assign V915763 = V365662 - 1. assign V898656 = V915763 + 1. assign V997189 = V535065 - 1. assign V011050 = V077778 - 1. assign V921593 = V641723 + 1. assign V864589 = V422335. assign V292980 = V126953 - 1. assign V838177 = V126953 - 1. assign V275324 = V824443. assign V152661 = V214598. assign V695044 = V926343 + 1. assign V946847 = V655158 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V870644 = V077778 - 1. assign V772367 = V150837. assign V933107 = V647121 + 1. assign V035773 = V405882 - 1. assign V277189 = V365662 - 1. assign V538087 = V975513 - 1. assign V064717 = V518121 + 1. assign V883237 = V277189 + 1. assign V820592 = V915763. assign V099454 = V870644 + 1. assign V029558 = V211311. assign V186803 = V451306. assign V150769 = V695044. assign V372343 = 2. assign V126953 = V381013 - 1. assign V036475 = V824308 + 1. assign V768856 = V227051 + 1. assign V546707 = V126953 - 1. assign V819337 = V546707 + 1. assign V421234 = V460033 + 1. assign V679777 = V292980 - 1. assign V065495 = V826482. assign V302777 = V737510 - 1. assign V865800 = V422335 + 1. assign V786622 = V147333 + 1. assign V527652 = V758904. assign V793035 = V786622 - 1. assign V926343 = V839934 - 1. assign V890627 = V690138 + 1. assign V416626 = V275324 - 1. assign V833119 = V873475 - 1. assign V116202 = V405882 - 1. assign V152653 = V057161. assign V487224 = V848449 + 1. assign V633352 = V902639. assign V969901 = V734753 + 1. assign V902639 = V835352 - 1. assign V895019 = V655158 - 1. assign V248263 = V793035 - 1. assign V240536 = V011050. assign V260156 = V214598 + 1. assign V224482 = V695044 + 1. assign V219082 = V116202 + 1. assign V068631 = V037936 + 1. assign V734753 = V422335 - 1. assign V561583 = V926343 - 1. assign V442798 = V899514 - 1. assign V482603 = V064390 + 1. assign V824443 = V234326 - 1. assign V793056 = V037936 - 1. assign V365662 = V381013 + 1. assign V503898 = V793035. assign V495342 = V711004. assign V314484 = V890627 - 1. assign V561029 = V768856 - 1. assign V191028 = V899514 + 1. assign V739810 = V690138 + 1. assign V572728 = V737510. assign V118296 = V839934 - 1. assign V826482 = V303601 - 1. assign V133466 = V015870. assign V015870 = V065495. assign V057161 = V690138 - 1. assign V172919 = V303601 - 1. assign V211311 = V826482. assign V405882 = V152653. assign V899514 = V915763. assign V862358 = V150837 - 1. assign V740950 = V111321 - 1. assign V205626 = V482114. assign V824308 = V192876 - 1. assign V535065 = V460033. assign V150837 = V690138 - 1. assign V736529 = V679777 - 1. assign V873475 = V890627. assign V303601 = V926343 - 1. assign V644112 = V372343 - 1. assign V101822 = V227051. assign V632145 = V247463 - 1. assign V214598 = V126953 + 1. assign V077778 = V890627. assign V480597 = V437514. assign V730505 = V077778 - 1. assign V451306 = V444110 + 1. assign V460033 = V873475. assign V135129 = V862358 - 1. assign V482114 = V781423 + 1. assign V975513 = V992393 + 1. assign V283788 = V303601 - 1. assign V576699 = V283788 - 1. assign V853954 = V940078 - 1. assign V146788 = V793035. assign V829900 = V293971 + 1. assign V037936 = V227051. assign V755219 = V695044 - 1. assign V737510 = V833538. assign V064390 = V902639. assign V758904 = V839934. assign V940078 = V786622 - 1. assign V688743 = V305243. assign V111321 = V833538 - 1. assign V091106 = V381013 - 1. assign V234326 = V758904 - 1. assign V109486 = V921593 - 1. assign V490690 = V460033 - 1. assign V848449 = V057161 + 1. assign V305243 = V126953. assign V810526 = V848449. assign V293971 = V862358 - 1. assign V579765 = V736529. assign V219689 = V688743 - 1. assign V647121 = V460033. assign V291198 = V248263. assign V833538 = V758904 + 1. assign V781423 = V940078. assign V372585 = V224482 + 1. assign V975595 = V992393 + 1. assign V020405 = V824443 - 1. assign V012025 = V305243 - 1. assign V298383 = V647121 - 1. assign V298646 = V835352 - 1. assign V093625 = V212632 + 1. assign V074645 = V020405 - 1. assign V153559 = V035773 - 1. assign V949567 = V365662 + 1. assign V764398 = V633352. assign V037179 = V133466. assign V992393 = V898656 + 1. assign V437514 = V011050 + 1. assign V259055 = V740950. assign V109639 = V227051 + 1. assign V711004 = V283788 + 1. assign V247463 = V292980 - 1. assign V655158 = V561583 + 1. assign V971216 = V150837 + 1. assign V954233 = V853954 - 1. assign V437821 = V730505. assign V641723 = V365662 - 1. assign V422335 = V150837 - 1. assign V444110 = V839934 - 1. assign V518121 = V011050. assign V707191 = V971216. assign V690138 = V381013 + 1. assign V578327 = V546707 - 1. assign V086510 = V793035 + 1. assign V839934 = V873475 - 1. assign V227051 = V890627 + 1. assign V540203 = V291198. assign V435617 = V820592. assign V898540 = V975513 - 1. assign V147333 = V690138. assign V331574 = V895019 + 1. assign V283920 = V234326 - 1. assign V835352 = V460033. assign V192876 = V898656 + 1. assign V266128 = V437514 + 1. assign V661083 = V679777. assign V212632 = V902639 + 1. assign V969529 = V314484 - 1. assign V814578 = V227051. assign V915763 = V365662 - 1. assign V898656 = V915763 + 1. assign V997189 = V535065 - 1. assign V011050 = V077778 - 1. assign V921593 = V641723 + 1. assign V864589 = V422335. assign V292980 = V126953 - 1. assign V838177 = V126953 - 1. assign V275324 = V824443. assign V152661 = V214598. assign V695044 = V926343 + 1. assign V946847 = V655158 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV372343 = 2;\n\nFrom these direct assignment(s), we have: \nV644112 = V372343 - 1 = 2 - 1 =1;\nNo other variables can be derived from V644112;\nNo other variables can be derived from V372343;\n\nNow we have done all the calculations. Derived variables are:\nV372343 = 2;\nV644112 = 1;\n\nNow we have finished this problem. ANSWER:\nV644112\n", "role": "assistant" } ]

[ "V491296", "V871294" ]

[ { "content": "<context>\nassign V709514 = V392350 + 1. assign V924255 = V171481. assign V232149 = V781319. assign V143276 = V611804 + 1. assign V822985 = V115543. assign V168382 = V754887 - 1. assign V037200 = V311769. assign V810085 = V018138 - 1. assign V841594 = V382047 - 1. assign V483347 = V823057. assign V461211 = V029148. assign V250793 = V392350 - 1. assign V745630 = V986213 + 1. assign V090136 = V392350. assign V902469 = V717722 + 1. assign V493283 = V252751 + 1. assign V971836 = V167415. assign V251844 = V120440. assign V912718 = V580924 - 1. assign V982415 = V090136 + 1. assign V437984 = V515596. assign V555442 = V190174 - 1. assign V231324 = V734510 + 1. assign V813776 = V090136 - 1. assign V436042 = V090136. assign V546923 = V754887. assign V747001 = V760747. assign V844344 = V173540. assign V580924 = V754887. assign V350238 = V412374 + 1. assign V823057 = V161520. assign V785876 = V637138 + 1. assign V119040 = V786483. assign V109663 = V602752. assign V388236 = V186930 + 1. assign V173540 = V029830. assign V171481 = V256525 + 1. assign V453045 = V232149. assign V169662 = V120440. assign V668173 = V433724. assign V760747 = V392350. assign V513144 = V273489 + 1. assign V033214 = V914947 - 1. assign V871009 = V406483 + 1. assign V627668 = V977223. assign V792961 = V173540 + 1. assign V990773 = V760747 + 1. assign V844833 = V883046 - 1. assign V327245 = V792961 - 1. assign V294104 = V115543 - 1. assign V252751 = V760747 - 1. assign V277357 = V914947 + 1. assign V914947 = V412374. assign V042939 = V982415 + 1. assign V600782 = V822122 + 1. assign V106601 = V380183. assign V032355 = V181132. assign V200488 = V208370. assign V312295 = V955606. assign V186930 = V120440. assign V173113 = V208370 + 1. assign V637138 = V350238. assign V347647 = V844833 - 1. assign V823297 = V729840 - 1. assign V741486 = V515596 - 1. assign V018138 = V090136 + 1. assign V734510 = V018138 - 1. assign V313274 = V842807 - 1. assign V303291 = V810085 + 1. assign V265022 = V348840. assign V392350 = V867661 + 1. assign V979162 = V625376 - 1. assign V115543 = V090136 + 1. assign V618647 = V119040. assign V190174 = V883046 - 1. assign V615743 = V173540 + 1. assign V196318 = V382047. assign V452987 = V842807 - 1. assign V753827 = V483614. assign V947162 = V208370 - 1. assign V143781 = V602752. assign V120440 = V867661. assign V539381 = V501404 + 1. assign V395302 = V108548. assign V924426 = V600782 - 1. assign V110924 = V109663 + 1. assign V883046 = V709514 + 1. assign V462750 = V388236. assign V315455 = V502460 + 1. assign V602752 = V029830 - 1. assign V919278 = V043613 + 1. assign V195200 = V304405 + 1. assign V462389 = V186930. assign V281584 = V781319 - 1. assign V100238 = V452987. assign V986213 = V521813 + 1. assign V273489 = V521813 - 1. assign V501404 = V196318 + 1. assign V717722 = V822122 - 1. assign V013368 = V094938. assign V471786 = V977223 - 1. assign V433838 = V580924 - 1. assign V256102 = V263540. assign V094938 = V883046. assign V540244 = V120440. assign V006224 = V135840 + 1. assign V965105 = V924255. assign V263540 = V867661 - 1. assign V208370 = V392350. assign V380183 = V602752. assign V382047 = V436042. assign V974996 = V173113 - 1. assign V515596 = V867661. assign V538064 = V867661. assign V713871 = V313274 - 1. assign V652155 = V263540 - 1. assign V715385 = V982415 + 1. assign V584302 = V842807 + 1. assign V161520 = V618647. assign V181132 = V934811 + 1. assign V754887 = V208370. assign V333505 = V914947. assign V029148 = V760747. assign V135840 = V786483. assign V525262 = V169662. assign V671637 = V709514 + 1. assign V786483 = V760747 + 1. assign V934811 = V382047. assign V625376 = V256525. assign V312539 = V822985. assign V167415 = V392350 + 1. assign V108548 = V167415. assign V521813 = V436042. assign V256525 = V841594. assign V311769 = V934811. assign V855466 = V883046 - 1. assign V197268 = V450557 + 1. assign V692659 = V312295 - 1. assign V845104 = V169662 + 1. assign V955606 = V350238. assign V483614 = V546923. assign V516885 = V433838. assign V028285 = V841594 - 1. assign V822122 = V844833 - 1. assign V781319 = V200488 + 1. assign V029830 = V120440 + 1. assign V304405 = V671637 + 1. assign V783293 = V822122 + 1. assign V248651 = V968423 - 1. assign V258303 = V143781 + 1. assign V842807 = V982415. assign V043613 = V990773 - 1. assign V406483 = V501576 + 1. assign V602712 = V181132. assign V348840 = V841594. assign V977223 = V540244 - 1. assign V412374 = V090136. assign V729840 = V167415. assign V537734 = V883046. assign V501576 = V256525 - 1. assign V544148 = V208370. assign V433724 = V392350 + 1. assign V888752 = V200488 - 1. assign V502460 = V760747. assign V264680 = V250793 - 1. assign V093350 = V252751 + 1. assign V450557 = V171481 - 1. assign V968423 = V483614. assign V491296 = 2. assign V536718 = V437984. assign V611804 = V094938. assign V871294 = V491296.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V709514 = V392350 + 1. assign V924255 = V171481. assign V232149 = V781319. assign V143276 = V611804 + 1. assign V822985 = V115543. assign V168382 = V754887 - 1. assign V037200 = V311769. assign V810085 = V018138 - 1. assign V841594 = V382047 - 1. assign V483347 = V823057. assign V461211 = V029148. assign V250793 = V392350 - 1. assign V745630 = V986213 + 1. assign V090136 = V392350. assign V902469 = V717722 + 1. assign V493283 = V252751 + 1. assign V971836 = V167415. assign V251844 = V120440. assign V912718 = V580924 - 1. assign V982415 = V090136 + 1. assign V437984 = V515596. assign V555442 = V190174 - 1. assign V231324 = V734510 + 1. assign V813776 = V090136 - 1. assign V436042 = V090136. assign V546923 = V754887. assign V747001 = V760747. assign V844344 = V173540. assign V580924 = V754887. assign V350238 = V412374 + 1. assign V823057 = V161520. assign V785876 = V637138 + 1. assign V119040 = V786483. assign V109663 = V602752. assign V388236 = V186930 + 1. assign V173540 = V029830. assign V171481 = V256525 + 1. assign V453045 = V232149. assign V169662 = V120440. assign V668173 = V433724. assign V760747 = V392350. assign V513144 = V273489 + 1. assign V033214 = V914947 - 1. assign V871009 = V406483 + 1. assign V627668 = V977223. assign V792961 = V173540 + 1. assign V990773 = V760747 + 1. assign V844833 = V883046 - 1. assign V327245 = V792961 - 1. assign V294104 = V115543 - 1. assign V252751 = V760747 - 1. assign V277357 = V914947 + 1. assign V914947 = V412374. assign V042939 = V982415 + 1. assign V600782 = V822122 + 1. assign V106601 = V380183. assign V032355 = V181132. assign V200488 = V208370. assign V312295 = V955606. assign V186930 = V120440. assign V173113 = V208370 + 1. assign V637138 = V350238. assign V347647 = V844833 - 1. assign V823297 = V729840 - 1. assign V741486 = V515596 - 1. assign V018138 = V090136 + 1. assign V734510 = V018138 - 1. assign V313274 = V842807 - 1. assign V303291 = V810085 + 1. assign V265022 = V348840. assign V392350 = V867661 + 1. assign V979162 = V625376 - 1. assign V115543 = V090136 + 1. assign V618647 = V119040. assign V190174 = V883046 - 1. assign V615743 = V173540 + 1. assign V196318 = V382047. assign V452987 = V842807 - 1. assign V753827 = V483614. assign V947162 = V208370 - 1. assign V143781 = V602752. assign V120440 = V867661. assign V539381 = V501404 + 1. assign V395302 = V108548. assign V924426 = V600782 - 1. assign V110924 = V109663 + 1. assign V883046 = V709514 + 1. assign V462750 = V388236. assign V315455 = V502460 + 1. assign V602752 = V029830 - 1. assign V919278 = V043613 + 1. assign V195200 = V304405 + 1. assign V462389 = V186930. assign V281584 = V781319 - 1. assign V100238 = V452987. assign V986213 = V521813 + 1. assign V273489 = V521813 - 1. assign V501404 = V196318 + 1. assign V717722 = V822122 - 1. assign V013368 = V094938. assign V471786 = V977223 - 1. assign V433838 = V580924 - 1. assign V256102 = V263540. assign V094938 = V883046. assign V540244 = V120440. assign V006224 = V135840 + 1. assign V965105 = V924255. assign V263540 = V867661 - 1. assign V208370 = V392350. assign V380183 = V602752. assign V382047 = V436042. assign V974996 = V173113 - 1. assign V515596 = V867661. assign V538064 = V867661. assign V713871 = V313274 - 1. assign V652155 = V263540 - 1. assign V715385 = V982415 + 1. assign V584302 = V842807 + 1. assign V161520 = V618647. assign V181132 = V934811 + 1. assign V754887 = V208370. assign V333505 = V914947. assign V029148 = V760747. assign V135840 = V786483. assign V525262 = V169662. assign V671637 = V709514 + 1. assign V786483 = V760747 + 1. assign V934811 = V382047. assign V625376 = V256525. assign V312539 = V822985. assign V167415 = V392350 + 1. assign V108548 = V167415. assign V521813 = V436042. assign V256525 = V841594. assign V311769 = V934811. assign V855466 = V883046 - 1. assign V197268 = V450557 + 1. assign V692659 = V312295 - 1. assign V845104 = V169662 + 1. assign V955606 = V350238. assign V483614 = V546923. assign V516885 = V433838. assign V028285 = V841594 - 1. assign V822122 = V844833 - 1. assign V781319 = V200488 + 1. assign V029830 = V120440 + 1. assign V304405 = V671637 + 1. assign V783293 = V822122 + 1. assign V248651 = V968423 - 1. assign V258303 = V143781 + 1. assign V842807 = V982415. assign V043613 = V990773 - 1. assign V406483 = V501576 + 1. assign V602712 = V181132. assign V348840 = V841594. assign V977223 = V540244 - 1. assign V412374 = V090136. assign V729840 = V167415. assign V537734 = V883046. assign V501576 = V256525 - 1. assign V544148 = V208370. assign V433724 = V392350 + 1. assign V888752 = V200488 - 1. assign V502460 = V760747. assign V264680 = V250793 - 1. assign V093350 = V252751 + 1. assign V450557 = V171481 - 1. assign V968423 = V483614. assign V491296 = 2. assign V536718 = V437984. assign V611804 = V094938. assign V871294 = V491296.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV491296 = 2;\n\nFrom these direct assignment(s), we have: \nV871294 = V491296 = 2;\nNo other variables can be derived from V871294;\nNo other variables can be derived from V491296;\n\nNow we have done all the calculations. Derived variables are:\nV491296 = 2;\nV871294 = 2;\n\nNow we have finished this problem. ANSWER:\nV491296, V871294\n", "role": "assistant" } ]

[ "V806091", "V266687" ]

[ { "content": "<context>\nassign V598592 = V656158 - 1. assign V649683 = V806403. assign V089739 = V901716 + 1. assign V991646 = V172067 - 1. assign V537264 = V119097 + 1. assign V975132 = V991646 + 1. assign V428125 = V552259. assign V507741 = V906932 + 1. assign V270761 = V107800. assign V407956 = V189585 - 1. assign V964531 = V906079. assign V551781 = V598592 - 1. assign V834790 = V645915 + 1. assign V909731 = V270454 - 1. assign V552259 = V172067 + 1. assign V636548 = V009522. assign V513647 = V551781 - 1. assign V920526 = V328649 - 1. assign V764044 = V009522 + 1. assign V479906 = V129409 + 1. assign V397055 = V656158 - 1. assign V095109 = V430937 + 1. assign V703703 = V253181. assign V935709 = V107800 + 1. assign V858947 = V477268. assign V270454 = V347673 + 1. assign V633784 = V473239 + 1. assign V107800 = V172067 - 1. assign V587548 = V149602 + 1. assign V906932 = V901716 + 1. assign V650402 = V038839 + 1. assign V879876 = V220413 - 1. assign V766751 = V489043. assign V446969 = V386000 + 1. assign V328649 = V963681. assign V893973 = V340328. assign V641312 = V154338. assign V797287 = V854410 - 1. assign V721839 = V547117. assign V767181 = V089739 - 1. assign V942436 = V906932 + 1. assign V565504 = V119097 + 1. assign V371221 = V183118. assign V162704 = V340328. assign V552369 = V815746 - 1. assign V124554 = V633784 + 1. assign V113809 = V879876 - 1. assign V353469 = V699179. assign V854410 = V149602 + 1. assign V285174 = V347673 - 1. assign V266687 = V806091. assign V542457 = V906932 - 1. assign V803101 = V999698. assign V904395 = V963681 + 1. assign V931973 = V904395 + 1. assign V565249 = V095109 - 1. assign V332035 = V009522 + 1. assign V775197 = V397055 - 1. assign V989028 = V709947 - 1. assign V331226 = V906079 + 1. assign V386000 = V409326 + 1. assign V466361 = V709947. assign V553893 = V667667. assign V549526 = V085721 - 1. assign V189585 = V587548. assign V480514 = V328649 + 1. assign V127369 = V044888 + 1. assign V340328 = V513647. assign V118571 = V320917 + 1. assign V667667 = V656158. assign V224236 = V095109 - 1. assign V645915 = V698569 + 1. assign V430937 = V854410. assign V473239 = V909731 + 1. assign V896983 = V510270 + 1. assign V347119 = V559420 - 1. assign V172067 = V237360 + 1. assign V065648 = V237360 + 1. assign V584980 = V590734 - 1. assign V119097 = V149602 - 1. assign V387558 = V200974 + 1. assign V324348 = V172067 - 1. assign V569036 = V107800 - 1. assign V214164 = V964839. assign V901716 = V896813 + 1. assign V268622 = V463034. assign V481925 = V162704. assign V510270 = V964917 - 1. assign V283356 = V149602 - 1. assign V806091 = 4. assign V009522 = V283356 + 1. assign V129409 = V991646. assign V253181 = V270454 + 1. assign V920611 = V587548 - 1. assign V154338 = V942436. assign V702613 = V656158 + 1. assign V964917 = V633784 - 1. assign V255645 = V473239. assign V324472 = V513647. assign V039010 = V896813 - 1. assign V608071 = V038839 - 1. assign V699179 = V559420. assign V200974 = V347673 - 1. assign V999698 = V797287. assign V058341 = V489043 - 1. assign V880531 = V409326. assign V454607 = V390106 + 1. assign V694762 = V991646. assign V576516 = V065648 - 1. assign V254289 = V324348 + 1. assign V409326 = V107800. assign V250678 = V315118. assign V559420 = V095109 + 1. assign V088046 = V077349 + 1. assign V963681 = V430937 + 1. assign V964839 = V633784 - 1. assign V658707 = V127369. assign V883761 = V253181 + 1. assign V656158 = V587548 - 1. assign V551004 = V901716 + 1. assign V808673 = V397055 + 1. assign V385030 = V409326 - 1. assign V315118 = V473239. assign V220413 = V347673. assign V815746 = V507741 + 1. assign V590734 = V253181. assign V709947 = V896813. assign V726715 = V764044 - 1. assign V415737 = V409326. assign V295939 = V415737 + 1. assign V183118 = V095109 - 1. assign V580913 = V285174. assign V463034 = V127369. assign V896813 = V085721 - 1. assign V038839 = V587548 + 1. assign V044888 = V149602 + 1. assign V347673 = V149602 + 1. assign V390106 = V920611 + 1. assign V788337 = V926563 - 1. assign V944035 = V752032. assign V493100 = V220413 + 1. assign V106155 = V270454. assign V413709 = V415737. assign V288861 = V590734 - 1. assign V101604 = V315118 - 1. assign V714564 = V320917 + 1. assign V425402 = V324472 - 1. assign V489043 = V551781 - 1. assign V352323 = V909731 - 1. assign V077349 = V270454 - 1. assign V752032 = V466361 + 1. assign V237360 = V854410 + 1. assign V906079 = V328649. assign V631700 = V200974 + 1. assign V470231 = V430937. assign V097516 = V268622 - 1. assign V676427 = V278410 - 1. assign V926563 = V565504. assign V698569 = V667667 + 1. assign V085721 = V598592 + 1. assign V282695 = V935709. assign V477268 = V253181 + 1. assign V320917 = V551004 - 1. assign V305938 = V547117. assign V806403 = V926563 + 1. assign V536737 = V470231. assign V278410 = V896813. assign V955313 = V065648 + 1. assign V527985 = V999698 - 1. assign V974608 = V649683 - 1. assign V630989 = V480514. assign V547117 = V667667.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V598592 = V656158 - 1. assign V649683 = V806403. assign V089739 = V901716 + 1. assign V991646 = V172067 - 1. assign V537264 = V119097 + 1. assign V975132 = V991646 + 1. assign V428125 = V552259. assign V507741 = V906932 + 1. assign V270761 = V107800. assign V407956 = V189585 - 1. assign V964531 = V906079. assign V551781 = V598592 - 1. assign V834790 = V645915 + 1. assign V909731 = V270454 - 1. assign V552259 = V172067 + 1. assign V636548 = V009522. assign V513647 = V551781 - 1. assign V920526 = V328649 - 1. assign V764044 = V009522 + 1. assign V479906 = V129409 + 1. assign V397055 = V656158 - 1. assign V095109 = V430937 + 1. assign V703703 = V253181. assign V935709 = V107800 + 1. assign V858947 = V477268. assign V270454 = V347673 + 1. assign V633784 = V473239 + 1. assign V107800 = V172067 - 1. assign V587548 = V149602 + 1. assign V906932 = V901716 + 1. assign V650402 = V038839 + 1. assign V879876 = V220413 - 1. assign V766751 = V489043. assign V446969 = V386000 + 1. assign V328649 = V963681. assign V893973 = V340328. assign V641312 = V154338. assign V797287 = V854410 - 1. assign V721839 = V547117. assign V767181 = V089739 - 1. assign V942436 = V906932 + 1. assign V565504 = V119097 + 1. assign V371221 = V183118. assign V162704 = V340328. assign V552369 = V815746 - 1. assign V124554 = V633784 + 1. assign V113809 = V879876 - 1. assign V353469 = V699179. assign V854410 = V149602 + 1. assign V285174 = V347673 - 1. assign V266687 = V806091. assign V542457 = V906932 - 1. assign V803101 = V999698. assign V904395 = V963681 + 1. assign V931973 = V904395 + 1. assign V565249 = V095109 - 1. assign V332035 = V009522 + 1. assign V775197 = V397055 - 1. assign V989028 = V709947 - 1. assign V331226 = V906079 + 1. assign V386000 = V409326 + 1. assign V466361 = V709947. assign V553893 = V667667. assign V549526 = V085721 - 1. assign V189585 = V587548. assign V480514 = V328649 + 1. assign V127369 = V044888 + 1. assign V340328 = V513647. assign V118571 = V320917 + 1. assign V667667 = V656158. assign V224236 = V095109 - 1. assign V645915 = V698569 + 1. assign V430937 = V854410. assign V473239 = V909731 + 1. assign V896983 = V510270 + 1. assign V347119 = V559420 - 1. assign V172067 = V237360 + 1. assign V065648 = V237360 + 1. assign V584980 = V590734 - 1. assign V119097 = V149602 - 1. assign V387558 = V200974 + 1. assign V324348 = V172067 - 1. assign V569036 = V107800 - 1. assign V214164 = V964839. assign V901716 = V896813 + 1. assign V268622 = V463034. assign V481925 = V162704. assign V510270 = V964917 - 1. assign V283356 = V149602 - 1. assign V806091 = 4. assign V009522 = V283356 + 1. assign V129409 = V991646. assign V253181 = V270454 + 1. assign V920611 = V587548 - 1. assign V154338 = V942436. assign V702613 = V656158 + 1. assign V964917 = V633784 - 1. assign V255645 = V473239. assign V324472 = V513647. assign V039010 = V896813 - 1. assign V608071 = V038839 - 1. assign V699179 = V559420. assign V200974 = V347673 - 1. assign V999698 = V797287. assign V058341 = V489043 - 1. assign V880531 = V409326. assign V454607 = V390106 + 1. assign V694762 = V991646. assign V576516 = V065648 - 1. assign V254289 = V324348 + 1. assign V409326 = V107800. assign V250678 = V315118. assign V559420 = V095109 + 1. assign V088046 = V077349 + 1. assign V963681 = V430937 + 1. assign V964839 = V633784 - 1. assign V658707 = V127369. assign V883761 = V253181 + 1. assign V656158 = V587548 - 1. assign V551004 = V901716 + 1. assign V808673 = V397055 + 1. assign V385030 = V409326 - 1. assign V315118 = V473239. assign V220413 = V347673. assign V815746 = V507741 + 1. assign V590734 = V253181. assign V709947 = V896813. assign V726715 = V764044 - 1. assign V415737 = V409326. assign V295939 = V415737 + 1. assign V183118 = V095109 - 1. assign V580913 = V285174. assign V463034 = V127369. assign V896813 = V085721 - 1. assign V038839 = V587548 + 1. assign V044888 = V149602 + 1. assign V347673 = V149602 + 1. assign V390106 = V920611 + 1. assign V788337 = V926563 - 1. assign V944035 = V752032. assign V493100 = V220413 + 1. assign V106155 = V270454. assign V413709 = V415737. assign V288861 = V590734 - 1. assign V101604 = V315118 - 1. assign V714564 = V320917 + 1. assign V425402 = V324472 - 1. assign V489043 = V551781 - 1. assign V352323 = V909731 - 1. assign V077349 = V270454 - 1. assign V752032 = V466361 + 1. assign V237360 = V854410 + 1. assign V906079 = V328649. assign V631700 = V200974 + 1. assign V470231 = V430937. assign V097516 = V268622 - 1. assign V676427 = V278410 - 1. assign V926563 = V565504. assign V698569 = V667667 + 1. assign V085721 = V598592 + 1. assign V282695 = V935709. assign V477268 = V253181 + 1. assign V320917 = V551004 - 1. assign V305938 = V547117. assign V806403 = V926563 + 1. assign V536737 = V470231. assign V278410 = V896813. assign V955313 = V065648 + 1. assign V527985 = V999698 - 1. assign V974608 = V649683 - 1. assign V630989 = V480514. assign V547117 = V667667.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV806091 = 4;\n\nFrom these direct assignment(s), we have: \nV266687 = V806091 = 4;\nNo other variables can be derived from V266687;\nNo other variables can be derived from V806091;\n\nNow we have done all the calculations. Derived variables are:\nV806091 = 4;\nV266687 = 4;\n\nNow we have finished this problem. ANSWER:\nV806091, V266687\n", "role": "assistant" } ]

[ "V272620", "V915879" ]

[ { "content": "<context>\nassign V808865 = V442306 + 1. assign V128297 = V683913 - 1. assign V935794 = V360530 + 1. assign V913364 = V010906 + 1. assign V894375 = V606061. assign V855863 = V240850. assign V266177 = V329179 - 1. assign V137892 = V442892. assign V657915 = V945409 + 1. assign V518417 = V989594 - 1. assign V410188 = V606061. assign V272620 = 3. assign V027938 = V382937. assign V170798 = V020519. assign V683569 = V442306 - 1. assign V499993 = V309020 + 1. assign V220349 = V398674 + 1. assign V974809 = V913364 + 1. assign V690093 = V831405 + 1. assign V158306 = V945409 - 1. assign V664923 = V398674 + 1. assign V029660 = V255053. assign V270901 = V400727 + 1. assign V185604 = V130445. assign V926736 = V382767. assign V255053 = V270901. assign V003666 = V728000 - 1. assign V157311 = V442306 - 1. assign V801052 = V613589 - 1. assign V322059 = V001008 + 1. assign V696026 = V020519 + 1. assign V831405 = V533314. assign V270491 = V019819. assign V781657 = V533314 + 1. assign V359048 = V216386 + 1. assign V506174 = V163884 + 1. assign V909817 = V856479 - 1. assign V350439 = V220349. assign V761789 = V442306 + 1. assign V923240 = V984481. assign V308858 = V924185 + 1. assign V395909 = V553150. assign V439705 = V010906 + 1. assign V163884 = V010906 + 1. assign V360530 = V130445. assign V864974 = V403780 + 1. assign V924185 = V240850 - 1. assign V683913 = V098429. assign V943205 = V266177 + 1. assign V975295 = V098429 - 1. assign V218896 = V553150 + 1. assign V216386 = V019819. assign V724714 = V533314 - 1. assign V651041 = V098429. assign V397445 = V020536 - 1. assign V173063 = V772238. assign V001008 = V761789. assign V134839 = V185604. assign V017021 = V496954 - 1. assign V751689 = V247091 + 1. assign V533314 = V553150 + 1. assign V950684 = V157311 + 1. assign V495899 = V657915 + 1. assign V821635 = V683569. assign V494167 = V382767. assign V978682 = V591083. assign V218394 = V821635 - 1. assign V293975 = V020536 - 1. assign V965755 = V348189. assign V829365 = V360530 + 1. assign V274164 = V772238. assign V382937 = V781657 + 1. assign V518619 = V754272 - 1. assign V538276 = V683569 + 1. assign V321166 = V418478 - 1. assign V442306 = V010906. assign V418478 = V606061 + 1. assign V290750 = V683569 + 1. assign V613589 = V720998 - 1. assign V843453 = V978682 + 1. assign V572590 = V098429 + 1. assign V016800 = V933349 - 1. assign V891137 = V974809 - 1. assign V234668 = V591083. assign V243089 = V499993 - 1. assign V098429 = V329179 + 1. assign V675557 = V240850 + 1. assign V725289 = V533314. assign V503214 = V538276 + 1. assign V311244 = V935794 + 1. assign V137287 = V856479. assign V885283 = V772238 - 1. assign V915879 = V272620. assign V348189 = V360530 - 1. assign V256156 = V185604. assign V892436 = V885283. assign V514255 = V499993 - 1. assign V772238 = V402465. assign V382767 = V382937. assign V809073 = V891137. assign V258961 = V469453. assign V403780 = V398674. assign V754272 = V894375 + 1. assign V247091 = V020519. assign V756744 = V293975 + 1. assign V856479 = V606061 - 1. assign V535144 = V398674. assign V592651 = V098429. assign V478823 = V403780. assign V569850 = V398674. assign V021268 = V163884 + 1. assign V734410 = V831405 + 1. assign V721455 = V720998 + 1. assign V223326 = V772238 - 1. assign V130445 = V398674. assign V080477 = V821635 - 1. assign V334737 = V329179 + 1. assign V120659 = V720998. assign V025434 = V808865 + 1. assign V695398 = V821635 + 1. assign V240850 = V606061 + 1. assign V412477 = V772238. assign V799069 = V218896 + 1. assign V207654 = V255053 - 1. assign V694676 = V418478 - 1. assign V820602 = V085265. assign V398674 = V402465. assign V442892 = V721455 - 1. assign V169857 = V247091 + 1. assign V302076 = V469453 + 1. assign V309020 = V010906 - 1. assign V385991 = V158306 - 1. assign V985281 = V442892 - 1. assign V452508 = V080477 + 1. assign V019819 = V335108 + 1. assign V657607 = V093753 - 1. assign V989594 = V163884. assign V052630 = V016800 + 1. assign V572482 = V234668 - 1. assign V020536 = V664923. assign V655894 = V442306 - 1. assign V010906 = V402465 + 1. assign V728000 = V781657. assign V659233 = V220349 - 1. assign V750058 = V533314. assign V291708 = V683913. assign V984481 = V781657 + 1. assign V496954 = V223326 - 1. assign V020519 = V329179 + 1. assign V469453 = V029660 + 1. assign V412643 = V119212. assign V910405 = V664923 - 1. assign V591083 = V398674. assign V836503 = V016800 - 1. assign V400727 = V978682 - 1. assign V855757 = V728000 - 1. assign V329179 = V831405. assign V317231 = V533314 + 1. assign V720998 = V019819 - 1. assign V280887 = V725289 - 1. assign V402465 = V533314 - 1. assign V450978 = V080477. assign V085265 = V021268. assign V550033 = V270901 - 1. assign V335108 = V821635 - 1. assign V679727 = V538276 - 1. assign V119212 = V935794 + 1. assign V945409 = V984481 + 1. assign V093753 = V163884 + 1. assign V933349 = V913364 + 1. assign V422498 = V799069 - 1. assign V606061 = V402465 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V808865 = V442306 + 1. assign V128297 = V683913 - 1. assign V935794 = V360530 + 1. assign V913364 = V010906 + 1. assign V894375 = V606061. assign V855863 = V240850. assign V266177 = V329179 - 1. assign V137892 = V442892. assign V657915 = V945409 + 1. assign V518417 = V989594 - 1. assign V410188 = V606061. assign V272620 = 3. assign V027938 = V382937. assign V170798 = V020519. assign V683569 = V442306 - 1. assign V499993 = V309020 + 1. assign V220349 = V398674 + 1. assign V974809 = V913364 + 1. assign V690093 = V831405 + 1. assign V158306 = V945409 - 1. assign V664923 = V398674 + 1. assign V029660 = V255053. assign V270901 = V400727 + 1. assign V185604 = V130445. assign V926736 = V382767. assign V255053 = V270901. assign V003666 = V728000 - 1. assign V157311 = V442306 - 1. assign V801052 = V613589 - 1. assign V322059 = V001008 + 1. assign V696026 = V020519 + 1. assign V831405 = V533314. assign V270491 = V019819. assign V781657 = V533314 + 1. assign V359048 = V216386 + 1. assign V506174 = V163884 + 1. assign V909817 = V856479 - 1. assign V350439 = V220349. assign V761789 = V442306 + 1. assign V923240 = V984481. assign V308858 = V924185 + 1. assign V395909 = V553150. assign V439705 = V010906 + 1. assign V163884 = V010906 + 1. assign V360530 = V130445. assign V864974 = V403780 + 1. assign V924185 = V240850 - 1. assign V683913 = V098429. assign V943205 = V266177 + 1. assign V975295 = V098429 - 1. assign V218896 = V553150 + 1. assign V216386 = V019819. assign V724714 = V533314 - 1. assign V651041 = V098429. assign V397445 = V020536 - 1. assign V173063 = V772238. assign V001008 = V761789. assign V134839 = V185604. assign V017021 = V496954 - 1. assign V751689 = V247091 + 1. assign V533314 = V553150 + 1. assign V950684 = V157311 + 1. assign V495899 = V657915 + 1. assign V821635 = V683569. assign V494167 = V382767. assign V978682 = V591083. assign V218394 = V821635 - 1. assign V293975 = V020536 - 1. assign V965755 = V348189. assign V829365 = V360530 + 1. assign V274164 = V772238. assign V382937 = V781657 + 1. assign V518619 = V754272 - 1. assign V538276 = V683569 + 1. assign V321166 = V418478 - 1. assign V442306 = V010906. assign V418478 = V606061 + 1. assign V290750 = V683569 + 1. assign V613589 = V720998 - 1. assign V843453 = V978682 + 1. assign V572590 = V098429 + 1. assign V016800 = V933349 - 1. assign V891137 = V974809 - 1. assign V234668 = V591083. assign V243089 = V499993 - 1. assign V098429 = V329179 + 1. assign V675557 = V240850 + 1. assign V725289 = V533314. assign V503214 = V538276 + 1. assign V311244 = V935794 + 1. assign V137287 = V856479. assign V885283 = V772238 - 1. assign V915879 = V272620. assign V348189 = V360530 - 1. assign V256156 = V185604. assign V892436 = V885283. assign V514255 = V499993 - 1. assign V772238 = V402465. assign V382767 = V382937. assign V809073 = V891137. assign V258961 = V469453. assign V403780 = V398674. assign V754272 = V894375 + 1. assign V247091 = V020519. assign V756744 = V293975 + 1. assign V856479 = V606061 - 1. assign V535144 = V398674. assign V592651 = V098429. assign V478823 = V403780. assign V569850 = V398674. assign V021268 = V163884 + 1. assign V734410 = V831405 + 1. assign V721455 = V720998 + 1. assign V223326 = V772238 - 1. assign V130445 = V398674. assign V080477 = V821635 - 1. assign V334737 = V329179 + 1. assign V120659 = V720998. assign V025434 = V808865 + 1. assign V695398 = V821635 + 1. assign V240850 = V606061 + 1. assign V412477 = V772238. assign V799069 = V218896 + 1. assign V207654 = V255053 - 1. assign V694676 = V418478 - 1. assign V820602 = V085265. assign V398674 = V402465. assign V442892 = V721455 - 1. assign V169857 = V247091 + 1. assign V302076 = V469453 + 1. assign V309020 = V010906 - 1. assign V385991 = V158306 - 1. assign V985281 = V442892 - 1. assign V452508 = V080477 + 1. assign V019819 = V335108 + 1. assign V657607 = V093753 - 1. assign V989594 = V163884. assign V052630 = V016800 + 1. assign V572482 = V234668 - 1. assign V020536 = V664923. assign V655894 = V442306 - 1. assign V010906 = V402465 + 1. assign V728000 = V781657. assign V659233 = V220349 - 1. assign V750058 = V533314. assign V291708 = V683913. assign V984481 = V781657 + 1. assign V496954 = V223326 - 1. assign V020519 = V329179 + 1. assign V469453 = V029660 + 1. assign V412643 = V119212. assign V910405 = V664923 - 1. assign V591083 = V398674. assign V836503 = V016800 - 1. assign V400727 = V978682 - 1. assign V855757 = V728000 - 1. assign V329179 = V831405. assign V317231 = V533314 + 1. assign V720998 = V019819 - 1. assign V280887 = V725289 - 1. assign V402465 = V533314 - 1. assign V450978 = V080477. assign V085265 = V021268. assign V550033 = V270901 - 1. assign V335108 = V821635 - 1. assign V679727 = V538276 - 1. assign V119212 = V935794 + 1. assign V945409 = V984481 + 1. assign V093753 = V163884 + 1. assign V933349 = V913364 + 1. assign V422498 = V799069 - 1. assign V606061 = V402465 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV272620 = 3;\n\nFrom these direct assignment(s), we have: \nV915879 = V272620 = 3;\nNo other variables can be derived from V915879;\nNo other variables can be derived from V272620;\n\nNow we have done all the calculations. Derived variables are:\nV272620 = 3;\nV915879 = 3;\n\nNow we have finished this problem. ANSWER:\nV272620, V915879\n", "role": "assistant" } ]

[ "V035805", "V555747" ]

[ { "content": "<context>\nassign V790757 = V031747. assign V211776 = V364985 + 1. assign V111594 = V915475. assign V846063 = V816183 + 1. assign V951532 = V196319 - 1. assign V766140 = V549822. assign V210336 = V269566 - 1. assign V935857 = V803266 - 1. assign V113774 = V196682 + 1. assign V196319 = V636984 + 1. assign V364985 = V469270 - 1. assign V019631 = V822562. assign V099718 = V901383 - 1. assign V915475 = V265474 + 1. assign V803266 = V062711 + 1. assign V344915 = V772135 - 1. assign V549822 = V875036 + 1. assign V103263 = V636984 - 1. assign V891705 = V113774 - 1. assign V835782 = V210566. assign V796305 = V932538. assign V035805 = 5. assign V465858 = V676860. assign V680950 = V062711 - 1. assign V962376 = V269566. assign V051507 = V031747 + 1. assign V428807 = V796305. assign V676860 = V026230. assign V078380 = V661305. assign V430737 = V901383 - 1. assign V875128 = V172777. assign V561421 = V503764 + 1. assign V999392 = V210336. assign V999210 = V676860 + 1. assign V265474 = V196682. assign V611821 = V476695 - 1. assign V011644 = V149233 - 1. assign V574110 = V137470 + 1. assign V661305 = V031747 + 1. assign V890229 = V136427. assign V708793 = V318192 + 1. assign V196682 = V172777 - 1. assign V650539 = V708793. assign V281533 = V875128 + 1. assign V981800 = V463274 - 1. assign V737707 = V636984 - 1. assign V064213 = V469270 - 1. assign V688758 = V113774 + 1. assign V503764 = V000064 + 1. assign V439040 = V210566. assign V414442 = V364985 - 1. assign V534091 = V196319. assign V612467 = V126253 - 1. assign V901383 = V875036 + 1. assign V476695 = V210566. assign V655173 = V875036 - 1. assign V276945 = V196682 + 1. assign V816183 = V463274. assign V750040 = V505494 + 1. assign V417697 = V099718 + 1. assign V908659 = V644487. assign V126253 = V031747. assign V176192 = V715010 - 1. assign V480397 = V476695. assign V318080 = V063141. assign V309902 = V318080. assign V122184 = V579742. assign V172777 = V000064. assign V772135 = V103263. assign V776588 = V932538. assign V140551 = V247829 - 1. assign V393401 = V534091 - 1. assign V303521 = V318080 - 1. assign V062711 = V026230 + 1. assign V904620 = V901383 + 1. assign V642131 = V269566 - 1. assign V503622 = V503764 + 1. assign V008812 = V785988 + 1. assign V210566 = V901654. assign V413708 = V962376 + 1. assign V063141 = V661305 - 1. assign V383914 = V000064 - 1. assign V008546 = V863921 + 1. assign V549487 = V661305 - 1. assign V331136 = V937316 - 1. assign V934748 = V607762 - 1. assign V655054 = V000064. assign V206880 = V078380 - 1. assign V589437 = V875128 - 1. assign V607762 = V465858 - 1. assign V901654 = V875036 - 1. assign V000064 = V901383 + 1. assign V177955 = V661305 - 1. assign V469270 = V680950 + 1. assign V932538 = V000064 - 1. assign V031292 = V574110. assign V268833 = V988858 + 1. assign V200158 = V534091. assign V863921 = V875036 + 1. assign V505494 = V999210. assign V811859 = V196319 - 1. assign V861250 = V113774 + 1. assign V930597 = V196319 - 1. assign V921705 = V430737 - 1. assign V534356 = V196682 - 1. assign V504397 = V612467 - 1. assign V756229 = V534356. assign V463274 = V921705. assign V988858 = V318080 + 1. assign V031747 = V000064 - 1. assign V311154 = V136427. assign V923841 = V099718. assign V136427 = V863921. assign V715010 = V099718 - 1. assign V644487 = V785988. assign V538407 = V534091 - 1. assign V471008 = V937813 - 1. assign V584365 = V756229 + 1. assign V579742 = V538407. assign V705441 = V655173 + 1. assign V945430 = V772135. assign V331847 = V534356 - 1. assign V559087 = V505494 - 1. assign V039729 = V934748 + 1. assign V834512 = V172777. assign V090996 = V767164 + 1. assign V443268 = V291859 + 1. assign V937813 = V196682. assign V132820 = V915475 + 1. assign V966521 = V471008. assign V767164 = V364985 + 1. assign V389698 = V210566 - 1. assign V841687 = V538407. assign V375619 = V103263 - 1. assign V816886 = V534356 + 1. assign V785988 = V291859. assign V247879 = V430737 - 1. assign V916076 = V281533. assign V989686 = V469270 + 1. assign V822562 = V676860 + 1. assign V294310 = V636984. assign V624319 = V611821 - 1. assign V909106 = V465858 - 1. assign V546173 = V937813 + 1. assign V636984 = V863921 - 1. assign V813319 = V101156 - 1. assign V828462 = V655173. assign V101156 = V816886. assign V137470 = V031747 - 1. assign V149233 = V937316 + 1. assign V175129 = V661305 - 1. assign V497954 = V260424 + 1. assign V555747 = V035805. assign V159667 = V480397 + 1. assign V044953 = V101156 - 1. assign V318192 = V921705. assign V032168 = V051507. assign V743623 = V389698 - 1. assign V026230 = V901383 + 1. assign V505762 = V999392. assign V247829 = V044953 - 1. assign V798584 = V064213 - 1. assign V036622 = V934748. assign V291859 = V863921 + 1. assign V937316 = V210566 - 1. assign V260424 = V269566 + 1. assign V070331 = V294310 - 1. assign V805617 = V767164 + 1. assign V269566 = V901383 + 1. assign V761417 = V471008. assign V053761 = V132820 + 1. assign V066274 = V923841 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V790757 = V031747. assign V211776 = V364985 + 1. assign V111594 = V915475. assign V846063 = V816183 + 1. assign V951532 = V196319 - 1. assign V766140 = V549822. assign V210336 = V269566 - 1. assign V935857 = V803266 - 1. assign V113774 = V196682 + 1. assign V196319 = V636984 + 1. assign V364985 = V469270 - 1. assign V019631 = V822562. assign V099718 = V901383 - 1. assign V915475 = V265474 + 1. assign V803266 = V062711 + 1. assign V344915 = V772135 - 1. assign V549822 = V875036 + 1. assign V103263 = V636984 - 1. assign V891705 = V113774 - 1. assign V835782 = V210566. assign V796305 = V932538. assign V035805 = 5. assign V465858 = V676860. assign V680950 = V062711 - 1. assign V962376 = V269566. assign V051507 = V031747 + 1. assign V428807 = V796305. assign V676860 = V026230. assign V078380 = V661305. assign V430737 = V901383 - 1. assign V875128 = V172777. assign V561421 = V503764 + 1. assign V999392 = V210336. assign V999210 = V676860 + 1. assign V265474 = V196682. assign V611821 = V476695 - 1. assign V011644 = V149233 - 1. assign V574110 = V137470 + 1. assign V661305 = V031747 + 1. assign V890229 = V136427. assign V708793 = V318192 + 1. assign V196682 = V172777 - 1. assign V650539 = V708793. assign V281533 = V875128 + 1. assign V981800 = V463274 - 1. assign V737707 = V636984 - 1. assign V064213 = V469270 - 1. assign V688758 = V113774 + 1. assign V503764 = V000064 + 1. assign V439040 = V210566. assign V414442 = V364985 - 1. assign V534091 = V196319. assign V612467 = V126253 - 1. assign V901383 = V875036 + 1. assign V476695 = V210566. assign V655173 = V875036 - 1. assign V276945 = V196682 + 1. assign V816183 = V463274. assign V750040 = V505494 + 1. assign V417697 = V099718 + 1. assign V908659 = V644487. assign V126253 = V031747. assign V176192 = V715010 - 1. assign V480397 = V476695. assign V318080 = V063141. assign V309902 = V318080. assign V122184 = V579742. assign V172777 = V000064. assign V772135 = V103263. assign V776588 = V932538. assign V140551 = V247829 - 1. assign V393401 = V534091 - 1. assign V303521 = V318080 - 1. assign V062711 = V026230 + 1. assign V904620 = V901383 + 1. assign V642131 = V269566 - 1. assign V503622 = V503764 + 1. assign V008812 = V785988 + 1. assign V210566 = V901654. assign V413708 = V962376 + 1. assign V063141 = V661305 - 1. assign V383914 = V000064 - 1. assign V008546 = V863921 + 1. assign V549487 = V661305 - 1. assign V331136 = V937316 - 1. assign V934748 = V607762 - 1. assign V655054 = V000064. assign V206880 = V078380 - 1. assign V589437 = V875128 - 1. assign V607762 = V465858 - 1. assign V901654 = V875036 - 1. assign V000064 = V901383 + 1. assign V177955 = V661305 - 1. assign V469270 = V680950 + 1. assign V932538 = V000064 - 1. assign V031292 = V574110. assign V268833 = V988858 + 1. assign V200158 = V534091. assign V863921 = V875036 + 1. assign V505494 = V999210. assign V811859 = V196319 - 1. assign V861250 = V113774 + 1. assign V930597 = V196319 - 1. assign V921705 = V430737 - 1. assign V534356 = V196682 - 1. assign V504397 = V612467 - 1. assign V756229 = V534356. assign V463274 = V921705. assign V988858 = V318080 + 1. assign V031747 = V000064 - 1. assign V311154 = V136427. assign V923841 = V099718. assign V136427 = V863921. assign V715010 = V099718 - 1. assign V644487 = V785988. assign V538407 = V534091 - 1. assign V471008 = V937813 - 1. assign V584365 = V756229 + 1. assign V579742 = V538407. assign V705441 = V655173 + 1. assign V945430 = V772135. assign V331847 = V534356 - 1. assign V559087 = V505494 - 1. assign V039729 = V934748 + 1. assign V834512 = V172777. assign V090996 = V767164 + 1. assign V443268 = V291859 + 1. assign V937813 = V196682. assign V132820 = V915475 + 1. assign V966521 = V471008. assign V767164 = V364985 + 1. assign V389698 = V210566 - 1. assign V841687 = V538407. assign V375619 = V103263 - 1. assign V816886 = V534356 + 1. assign V785988 = V291859. assign V247879 = V430737 - 1. assign V916076 = V281533. assign V989686 = V469270 + 1. assign V822562 = V676860 + 1. assign V294310 = V636984. assign V624319 = V611821 - 1. assign V909106 = V465858 - 1. assign V546173 = V937813 + 1. assign V636984 = V863921 - 1. assign V813319 = V101156 - 1. assign V828462 = V655173. assign V101156 = V816886. assign V137470 = V031747 - 1. assign V149233 = V937316 + 1. assign V175129 = V661305 - 1. assign V497954 = V260424 + 1. assign V555747 = V035805. assign V159667 = V480397 + 1. assign V044953 = V101156 - 1. assign V318192 = V921705. assign V032168 = V051507. assign V743623 = V389698 - 1. assign V026230 = V901383 + 1. assign V505762 = V999392. assign V247829 = V044953 - 1. assign V798584 = V064213 - 1. assign V036622 = V934748. assign V291859 = V863921 + 1. assign V937316 = V210566 - 1. assign V260424 = V269566 + 1. assign V070331 = V294310 - 1. assign V805617 = V767164 + 1. assign V269566 = V901383 + 1. assign V761417 = V471008. assign V053761 = V132820 + 1. assign V066274 = V923841 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV035805 = 5;\n\nFrom these direct assignment(s), we have: \nV555747 = V035805 = 5;\nNo other variables can be derived from V555747;\nNo other variables can be derived from V035805;\n\nNow we have done all the calculations. Derived variables are:\nV035805 = 5;\nV555747 = 5;\n\nNow we have finished this problem. ANSWER:\nV035805, V555747\n", "role": "assistant" } ]

[ "V867440" ]

[ { "content": "<context>\nassign V221802 = V181791. assign V733889 = V650558 + 1. assign V158746 = V922515 + 1. assign V612708 = V528947 + 1. assign V782439 = V495107. assign V149019 = V824705 + 1. assign V743069 = V973572 + 1. assign V829715 = V662654. assign V541840 = V853354 + 1. assign V908090 = V033021 + 1. assign V273398 = V149019 - 1. assign V488448 = V178367 - 1. assign V343401 = V004603 - 1. assign V159471 = V650558. assign V647221 = V534573. assign V729592 = V825179 + 1. assign V119921 = V181791 + 1. assign V504902 = V330544. assign V462425 = V181791 + 1. assign V839634 = V698764 - 1. assign V584912 = V693903 - 1. assign V817540 = V048899 - 1. assign V231045 = V718901 + 1. assign V033021 = V004603 + 1. assign V388643 = V902759 - 1. assign V464880 = V504902 + 1. assign V299795 = V336079 - 1. assign V873552 = V525415 - 1. assign V824705 = V528947. assign V972963 = V856438. assign V792845 = V917998 - 1. assign V271420 = V363507 - 1. assign V137566 = V412604. assign V303786 = V171087. assign V534573 = V336079 + 1. assign V222004 = V867440 - 1. assign V650558 = V902759 + 1. assign V146312 = V005638. assign V418608 = V605678 + 1. assign V166258 = V718901. assign V734664 = V317102 - 1. assign V836423 = V171087 - 1. assign V259126 = V541840 - 1. assign V453499 = V514122 - 1. assign V538059 = V363507 - 1. assign V412604 = V973572 - 1. assign V401391 = V446993 - 1. assign V155160 = V902759 + 1. assign V867317 = V647221 - 1. assign V462442 = V823873. assign V514122 = V166258. assign V878447 = V363507. assign V294188 = V743069. assign V264304 = V829294. assign V317102 = V973572. assign V238343 = V383845 - 1. assign V679738 = V149019 + 1. assign V922515 = V376082 - 1. assign V847583 = V462425. assign V525415 = V538059. assign V048899 = V462442 + 1. assign V528947 = V363507 - 1. assign V973572 = V005638 - 1. assign V395673 = V902759 + 1. assign V665894 = V306499 + 1. assign V823074 = V270541. assign V605678 = V528947. assign V376082 = V878447. assign V530662 = V902759. assign V498248 = V489938 - 1. assign V181791 = V911634 - 1. assign V989269 = V091982. assign V841892 = V989269 + 1. assign V829294 = V697817 - 1. assign V761165 = V149019 - 1. assign V718901 = V693903 - 1. assign V907045 = V824705 + 1. assign V357253 = V608594. assign V336079 = V231045. assign V892699 = V911634 - 1. assign V662654 = V270541 - 1. assign V672563 = V878447 + 1. assign V801879 = V761165 - 1. assign V489938 = V388643 - 1. assign V837454 = V504368 + 1. assign V545352 = V525415 + 1. assign V028846 = V667303 + 1. assign V911634 = V504902. assign V192196 = V665894. assign V267169 = V158746 + 1. assign V219783 = V829294 - 1. assign V088994 = V231045. assign V004603 = V672563 + 1. assign V513236 = V231045 - 1. assign V157426 = V402487. assign V306499 = V853354 - 1. assign V147247 = V650558. assign V171087 = V525415. assign V667303 = V005638 + 1. assign V270541 = V178367. assign V178367 = V271420. assign V091982 = V902759 - 1. assign V793438 = V710064 + 1. assign V805039 = V761165 + 1. assign V644396 = V672563 + 1. assign V095436 = V162238 + 1. assign V698764 = V718901 - 1. assign V710064 = V970159. assign V823873 = V528947 + 1. assign V183353 = V504902 - 1. assign V615662 = V973572. assign V718003 = V146312. assign V330544 = V973572. assign V929890 = V363507. assign V892804 = V679738. assign V704238 = V306499. assign V504368 = V317102 - 1. assign V212363 = V330544 - 1. assign V270404 = V412604 + 1. assign V917998 = V330544 + 1. assign V013119 = V884480 - 1. assign V842179 = V166258 + 1. assign V825179 = V842179 - 1. assign V209372 = V972963 + 1. assign V306842 = V612708 - 1. assign V015778 = V504368 + 1. assign V690619 = V267714 + 1. assign V078395 = V336079 - 1. assign V807716 = V231045 - 1. assign V383845 = V726253 - 1. assign V323581 = V644396 + 1. assign V970159 = V504368. assign V363507 = V973572 - 1. assign V856438 = V270541 + 1. assign V004887 = V720218 - 1. assign V047326 = V847583 + 1. assign V884480 = V270541 - 1. assign V633273 = V264304 + 1. assign V152902 = V973572 - 1. assign V693903 = V271420. assign V954355 = V162238 - 1. assign V950145 = V330544 - 1. assign V427255 = V824705 - 1. assign V700745 = V446993 - 1. assign V856004 = V697817 + 1. assign V402487 = V853354. assign V742229 = V303786. assign V267714 = V726253. assign V310735 = V270541. assign V969658 = V323581. assign V608594 = V261373 + 1. assign V267642 = V528947. assign V640127 = V363507 - 1. assign V495107 = V149019. assign V727841 = V734664 - 1. assign V902759 = V973572. assign V500029 = V917998. assign V261373 = V824705 + 1. assign V625020 = V294188 + 1. assign V162238 = V212363 - 1. assign V853354 = V363507 + 1. assign V469283 = V726253. assign V697817 = V902759 + 1. assign V493692 = V013119 + 1. assign V590748 = V525415. assign V720218 = V157426 - 1. assign V446993 = V299795 - 1. assign V123121 = V091982 + 1. assign V726253 = V306842. assign V302204 = V792845 + 1. assign V867440 = 7. assign V417794 = V271420 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V221802 = V181791. assign V733889 = V650558 + 1. assign V158746 = V922515 + 1. assign V612708 = V528947 + 1. assign V782439 = V495107. assign V149019 = V824705 + 1. assign V743069 = V973572 + 1. assign V829715 = V662654. assign V541840 = V853354 + 1. assign V908090 = V033021 + 1. assign V273398 = V149019 - 1. assign V488448 = V178367 - 1. assign V343401 = V004603 - 1. assign V159471 = V650558. assign V647221 = V534573. assign V729592 = V825179 + 1. assign V119921 = V181791 + 1. assign V504902 = V330544. assign V462425 = V181791 + 1. assign V839634 = V698764 - 1. assign V584912 = V693903 - 1. assign V817540 = V048899 - 1. assign V231045 = V718901 + 1. assign V033021 = V004603 + 1. assign V388643 = V902759 - 1. assign V464880 = V504902 + 1. assign V299795 = V336079 - 1. assign V873552 = V525415 - 1. assign V824705 = V528947. assign V972963 = V856438. assign V792845 = V917998 - 1. assign V271420 = V363507 - 1. assign V137566 = V412604. assign V303786 = V171087. assign V534573 = V336079 + 1. assign V222004 = V867440 - 1. assign V650558 = V902759 + 1. assign V146312 = V005638. assign V418608 = V605678 + 1. assign V166258 = V718901. assign V734664 = V317102 - 1. assign V836423 = V171087 - 1. assign V259126 = V541840 - 1. assign V453499 = V514122 - 1. assign V538059 = V363507 - 1. assign V412604 = V973572 - 1. assign V401391 = V446993 - 1. assign V155160 = V902759 + 1. assign V867317 = V647221 - 1. assign V462442 = V823873. assign V514122 = V166258. assign V878447 = V363507. assign V294188 = V743069. assign V264304 = V829294. assign V317102 = V973572. assign V238343 = V383845 - 1. assign V679738 = V149019 + 1. assign V922515 = V376082 - 1. assign V847583 = V462425. assign V525415 = V538059. assign V048899 = V462442 + 1. assign V528947 = V363507 - 1. assign V973572 = V005638 - 1. assign V395673 = V902759 + 1. assign V665894 = V306499 + 1. assign V823074 = V270541. assign V605678 = V528947. assign V376082 = V878447. assign V530662 = V902759. assign V498248 = V489938 - 1. assign V181791 = V911634 - 1. assign V989269 = V091982. assign V841892 = V989269 + 1. assign V829294 = V697817 - 1. assign V761165 = V149019 - 1. assign V718901 = V693903 - 1. assign V907045 = V824705 + 1. assign V357253 = V608594. assign V336079 = V231045. assign V892699 = V911634 - 1. assign V662654 = V270541 - 1. assign V672563 = V878447 + 1. assign V801879 = V761165 - 1. assign V489938 = V388643 - 1. assign V837454 = V504368 + 1. assign V545352 = V525415 + 1. assign V028846 = V667303 + 1. assign V911634 = V504902. assign V192196 = V665894. assign V267169 = V158746 + 1. assign V219783 = V829294 - 1. assign V088994 = V231045. assign V004603 = V672563 + 1. assign V513236 = V231045 - 1. assign V157426 = V402487. assign V306499 = V853354 - 1. assign V147247 = V650558. assign V171087 = V525415. assign V667303 = V005638 + 1. assign V270541 = V178367. assign V178367 = V271420. assign V091982 = V902759 - 1. assign V793438 = V710064 + 1. assign V805039 = V761165 + 1. assign V644396 = V672563 + 1. assign V095436 = V162238 + 1. assign V698764 = V718901 - 1. assign V710064 = V970159. assign V823873 = V528947 + 1. assign V183353 = V504902 - 1. assign V615662 = V973572. assign V718003 = V146312. assign V330544 = V973572. assign V929890 = V363507. assign V892804 = V679738. assign V704238 = V306499. assign V504368 = V317102 - 1. assign V212363 = V330544 - 1. assign V270404 = V412604 + 1. assign V917998 = V330544 + 1. assign V013119 = V884480 - 1. assign V842179 = V166258 + 1. assign V825179 = V842179 - 1. assign V209372 = V972963 + 1. assign V306842 = V612708 - 1. assign V015778 = V504368 + 1. assign V690619 = V267714 + 1. assign V078395 = V336079 - 1. assign V807716 = V231045 - 1. assign V383845 = V726253 - 1. assign V323581 = V644396 + 1. assign V970159 = V504368. assign V363507 = V973572 - 1. assign V856438 = V270541 + 1. assign V004887 = V720218 - 1. assign V047326 = V847583 + 1. assign V884480 = V270541 - 1. assign V633273 = V264304 + 1. assign V152902 = V973572 - 1. assign V693903 = V271420. assign V954355 = V162238 - 1. assign V950145 = V330544 - 1. assign V427255 = V824705 - 1. assign V700745 = V446993 - 1. assign V856004 = V697817 + 1. assign V402487 = V853354. assign V742229 = V303786. assign V267714 = V726253. assign V310735 = V270541. assign V969658 = V323581. assign V608594 = V261373 + 1. assign V267642 = V528947. assign V640127 = V363507 - 1. assign V495107 = V149019. assign V727841 = V734664 - 1. assign V902759 = V973572. assign V500029 = V917998. assign V261373 = V824705 + 1. assign V625020 = V294188 + 1. assign V162238 = V212363 - 1. assign V853354 = V363507 + 1. assign V469283 = V726253. assign V697817 = V902759 + 1. assign V493692 = V013119 + 1. assign V590748 = V525415. assign V720218 = V157426 - 1. assign V446993 = V299795 - 1. assign V123121 = V091982 + 1. assign V726253 = V306842. assign V302204 = V792845 + 1. assign V867440 = 7. assign V417794 = V271420 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV867440 = 7;\n\nFrom these direct assignment(s), we have: \nV222004 = V867440 - 1 = 7 - 1 =6;\nNo other variables can be derived from V222004;\nNo other variables can be derived from V867440;\n\nNow we have done all the calculations. Derived variables are:\nV867440 = 7;\nV222004 = 6;\n\nNow we have finished this problem. ANSWER:\nV867440\n", "role": "assistant" } ]

[ "V543260" ]

[ { "content": "<context>\nassign V783873 = V107355 + 1. assign V117297 = V622294. assign V363509 = V466212 - 1. assign V520510 = V615244. assign V031367 = V108631. assign V899666 = V596789. assign V446653 = V107355 + 1. assign V446764 = V508093 + 1. assign V622294 = V031367 - 1. assign V716794 = V456530. assign V587157 = V006312 + 1. assign V020388 = V374199 - 1. assign V562153 = V330955 + 1. assign V598137 = V122638. assign V720387 = V887474 + 1. assign V122638 = V739667 + 1. assign V866493 = V739667 - 1. assign V521821 = V964985 - 1. assign V014068 = V804579. assign V697598 = V508093 - 1. assign V148796 = V221825 - 1. assign V944037 = V632362 + 1. assign V775644 = V758959 + 1. assign V139416 = V739667. assign V221825 = V450379. assign V374199 = V866493 - 1. assign V854919 = V819565 + 1. assign V530131 = V195322 - 1. assign V508093 = V450379 + 1. assign V853665 = V510985. assign V665427 = V108631. assign V075543 = V961365 + 1. assign V625377 = V438913 + 1. assign V284233 = V783873 - 1. assign V430528 = V964985. assign V699368 = V245357 - 1. assign V593617 = V598137 + 1. assign V056459 = V185400. assign V632362 = V665427. assign V450379 = V739667 + 1. assign V609353 = V951558 - 1. assign V245357 = V450379 + 1. assign V185400 = V266014 + 1. assign V392596 = V330955 + 1. assign V887079 = V374199 + 1. assign V313390 = V951221. assign V260251 = V737229 - 1. assign V725848 = V875933. assign V111120 = V107355 + 1. assign V797145 = V880998. assign V969523 = V286490. assign V120746 = V124903 + 1. assign V763076 = V124903 + 1. assign V027980 = V195322 - 1. assign V461317 = V374199. assign V124903 = V739667 - 1. assign V614986 = V964985 + 1. assign V543031 = V148796. assign V266014 = V156878 - 1. assign V582989 = V880998. assign V918009 = V156215 - 1. assign V338850 = V739667 + 1. assign V293828 = V268725 + 1. assign V126860 = V156215 - 1. assign V292873 = V295652 + 1. assign V611256 = V239369 - 1. assign V467356 = V286490 - 1. assign V892225 = V461317. assign V578703 = V125430 - 1. assign V571407 = V372180 + 1. assign V286490 = V819565. assign V424259 = V867377 + 1. assign V330955 = V819565 - 1. assign V372180 = V739667 - 1. assign V339464 = V195322 + 1. assign V779204 = V969523. assign V015551 = V819565 + 1. assign V730600 = V239369. assign V275318 = V720387 + 1. assign V017368 = V372180 - 1. assign V376950 = V305377 - 1. assign V188793 = V862915 - 1. assign V918169 = V245357 - 1. assign V400028 = V195322 + 1. assign V362133 = V862915 - 1. assign V154764 = V275318 - 1. assign V639382 = V808905 + 1. assign V305377 = V108631 + 1. assign V204313 = V965799 + 1. assign V944996 = V125030 - 1. assign V006312 = V372180 - 1. assign V758959 = V221825 + 1. assign V107355 = V739667 + 1. assign V658395 = V819565. assign V389441 = V456530. assign V268725 = V266014 - 1. assign V624967 = V330955 - 1. assign V466212 = V124903 - 1. assign V187844 = V918009. assign V615244 = V562153 + 1. assign V431702 = V275318. assign V234633 = V338850. assign V510985 = V965799 + 1. assign V304919 = V944037. assign V862915 = V372180. assign V302157 = V969523 - 1. assign V881235 = V330955. assign V881793 = V453046 - 1. assign V120233 = V156215 + 1. assign V887474 = V195322 + 1. assign V357385 = V292873 + 1. assign V955541 = V124903. assign V961365 = V739667 + 1. assign V951221 = V632362 - 1. assign V195322 = V739667. assign V965799 = V156215. assign V964985 = V006312 - 1. assign V497298 = V530131 - 1. assign V882938 = V126860 - 1. assign V880998 = V450379. assign V551419 = V461317 - 1. assign V270915 = V961365. assign V944839 = V287350 + 1. assign V456530 = V372180 - 1. assign V642424 = V775644. assign V542926 = V295652 + 1. assign V968319 = V453144 + 1. assign V356103 = V245357. assign V560645 = V961365 + 1. assign V368112 = V866493 - 1. assign V563496 = V438913. assign V543260 = V354723 - 1. assign V044155 = V593617 - 1. assign V239369 = V108631. assign V604303 = V720387. assign V737229 = V763076 - 1. assign V867377 = V270915. assign V384892 = V880998. assign V501482 = V270915 + 1. assign V680568 = V239369 + 1. assign V125030 = V543031 + 1. assign V984171 = V763076 + 1. assign V596789 = V338850 + 1. assign V871434 = V775644 - 1. assign V804579 = V763076. assign V453144 = V006312 + 1. assign V287350 = V961365 + 1. assign V951558 = V260251. assign V666347 = V951221 + 1. assign V354723 = 1. assign V108631 = V763076. assign V875933 = V234633 - 1. assign V510619 = V356103. assign V125755 = V330955 - 1. assign V171651 = V466212 - 1. assign V367273 = V510985. assign V808905 = V122638 + 1. assign V074126 = V284233 - 1. assign V286312 = V520510. assign V819565 = V122638 - 1. assign V593084 = V944996 + 1. assign V124944 = V867377 + 1. assign V156215 = V763076 + 1. assign V050179 = V125430 - 1. assign V358001 = V006312 + 1. assign V156878 = V245357 + 1. assign V438913 = V284233 + 1. assign V295652 = V124903 + 1. assign V125430 = V338850. assign V692239 = V450379 - 1. assign V735483 = V658395 - 1. assign V453046 = V376950 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V783873 = V107355 + 1. assign V117297 = V622294. assign V363509 = V466212 - 1. assign V520510 = V615244. assign V031367 = V108631. assign V899666 = V596789. assign V446653 = V107355 + 1. assign V446764 = V508093 + 1. assign V622294 = V031367 - 1. assign V716794 = V456530. assign V587157 = V006312 + 1. assign V020388 = V374199 - 1. assign V562153 = V330955 + 1. assign V598137 = V122638. assign V720387 = V887474 + 1. assign V122638 = V739667 + 1. assign V866493 = V739667 - 1. assign V521821 = V964985 - 1. assign V014068 = V804579. assign V697598 = V508093 - 1. assign V148796 = V221825 - 1. assign V944037 = V632362 + 1. assign V775644 = V758959 + 1. assign V139416 = V739667. assign V221825 = V450379. assign V374199 = V866493 - 1. assign V854919 = V819565 + 1. assign V530131 = V195322 - 1. assign V508093 = V450379 + 1. assign V853665 = V510985. assign V665427 = V108631. assign V075543 = V961365 + 1. assign V625377 = V438913 + 1. assign V284233 = V783873 - 1. assign V430528 = V964985. assign V699368 = V245357 - 1. assign V593617 = V598137 + 1. assign V056459 = V185400. assign V632362 = V665427. assign V450379 = V739667 + 1. assign V609353 = V951558 - 1. assign V245357 = V450379 + 1. assign V185400 = V266014 + 1. assign V392596 = V330955 + 1. assign V887079 = V374199 + 1. assign V313390 = V951221. assign V260251 = V737229 - 1. assign V725848 = V875933. assign V111120 = V107355 + 1. assign V797145 = V880998. assign V969523 = V286490. assign V120746 = V124903 + 1. assign V763076 = V124903 + 1. assign V027980 = V195322 - 1. assign V461317 = V374199. assign V124903 = V739667 - 1. assign V614986 = V964985 + 1. assign V543031 = V148796. assign V266014 = V156878 - 1. assign V582989 = V880998. assign V918009 = V156215 - 1. assign V338850 = V739667 + 1. assign V293828 = V268725 + 1. assign V126860 = V156215 - 1. assign V292873 = V295652 + 1. assign V611256 = V239369 - 1. assign V467356 = V286490 - 1. assign V892225 = V461317. assign V578703 = V125430 - 1. assign V571407 = V372180 + 1. assign V286490 = V819565. assign V424259 = V867377 + 1. assign V330955 = V819565 - 1. assign V372180 = V739667 - 1. assign V339464 = V195322 + 1. assign V779204 = V969523. assign V015551 = V819565 + 1. assign V730600 = V239369. assign V275318 = V720387 + 1. assign V017368 = V372180 - 1. assign V376950 = V305377 - 1. assign V188793 = V862915 - 1. assign V918169 = V245357 - 1. assign V400028 = V195322 + 1. assign V362133 = V862915 - 1. assign V154764 = V275318 - 1. assign V639382 = V808905 + 1. assign V305377 = V108631 + 1. assign V204313 = V965799 + 1. assign V944996 = V125030 - 1. assign V006312 = V372180 - 1. assign V758959 = V221825 + 1. assign V107355 = V739667 + 1. assign V658395 = V819565. assign V389441 = V456530. assign V268725 = V266014 - 1. assign V624967 = V330955 - 1. assign V466212 = V124903 - 1. assign V187844 = V918009. assign V615244 = V562153 + 1. assign V431702 = V275318. assign V234633 = V338850. assign V510985 = V965799 + 1. assign V304919 = V944037. assign V862915 = V372180. assign V302157 = V969523 - 1. assign V881235 = V330955. assign V881793 = V453046 - 1. assign V120233 = V156215 + 1. assign V887474 = V195322 + 1. assign V357385 = V292873 + 1. assign V955541 = V124903. assign V961365 = V739667 + 1. assign V951221 = V632362 - 1. assign V195322 = V739667. assign V965799 = V156215. assign V964985 = V006312 - 1. assign V497298 = V530131 - 1. assign V882938 = V126860 - 1. assign V880998 = V450379. assign V551419 = V461317 - 1. assign V270915 = V961365. assign V944839 = V287350 + 1. assign V456530 = V372180 - 1. assign V642424 = V775644. assign V542926 = V295652 + 1. assign V968319 = V453144 + 1. assign V356103 = V245357. assign V560645 = V961365 + 1. assign V368112 = V866493 - 1. assign V563496 = V438913. assign V543260 = V354723 - 1. assign V044155 = V593617 - 1. assign V239369 = V108631. assign V604303 = V720387. assign V737229 = V763076 - 1. assign V867377 = V270915. assign V384892 = V880998. assign V501482 = V270915 + 1. assign V680568 = V239369 + 1. assign V125030 = V543031 + 1. assign V984171 = V763076 + 1. assign V596789 = V338850 + 1. assign V871434 = V775644 - 1. assign V804579 = V763076. assign V453144 = V006312 + 1. assign V287350 = V961365 + 1. assign V951558 = V260251. assign V666347 = V951221 + 1. assign V354723 = 1. assign V108631 = V763076. assign V875933 = V234633 - 1. assign V510619 = V356103. assign V125755 = V330955 - 1. assign V171651 = V466212 - 1. assign V367273 = V510985. assign V808905 = V122638 + 1. assign V074126 = V284233 - 1. assign V286312 = V520510. assign V819565 = V122638 - 1. assign V593084 = V944996 + 1. assign V124944 = V867377 + 1. assign V156215 = V763076 + 1. assign V050179 = V125430 - 1. assign V358001 = V006312 + 1. assign V156878 = V245357 + 1. assign V438913 = V284233 + 1. assign V295652 = V124903 + 1. assign V125430 = V338850. assign V692239 = V450379 - 1. assign V735483 = V658395 - 1. assign V453046 = V376950 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV354723 = 1;\n\nFrom these direct assignment(s), we have: \nV543260 = V354723 - 1 = 1 - 1 =0;\nNo other variables can be derived from V543260;\nNo other variables can be derived from V354723;\n\nNow we have done all the calculations. Derived variables are:\nV354723 = 1;\nV543260 = 0;\n\nNow we have finished this problem. ANSWER:\nV543260\n", "role": "assistant" } ]

[ "V230310", "V016006" ]

[ { "content": "<context>\nassign V278858 = V686833 + 1. assign V569775 = V884661. assign V360084 = V412736 + 1. assign V973108 = V605458. assign V919776 = V569775. assign V412736 = V458264 + 1. assign V372452 = V147629. assign V942590 = V998543 + 1. assign V629628 = V919776 - 1. assign V194470 = V935477 + 1. assign V486089 = V366163 + 1. assign V734243 = V365522 + 1. assign V547474 = V311225 + 1. assign V466683 = V569775. assign V787926 = V769992. assign V458264 = V805017 - 1. assign V862338 = V917292. assign V936655 = V910464 - 1. assign V075343 = V217283 - 1. assign V910464 = V884862 + 1. assign V481055 = V349039 + 1. assign V461464 = V848967 + 1. assign V285210 = V042090 + 1. assign V416433 = V311225. assign V227179 = V415793 - 1. assign V503887 = V224617 - 1. assign V775038 = V311225. assign V353580 = V921395. assign V001862 = V569775 - 1. assign V540241 = V557128 + 1. assign V187970 = V415793 + 1. assign V810052 = V217283. assign V730468 = V653784 - 1. assign V595634 = V884862 - 1. assign V813017 = V592480 + 1. assign V935477 = V246531 - 1. assign V238299 = V259070 + 1. assign V540053 = V224617 + 1. assign V545543 = V951479. assign V997280 = V143469 - 1. assign V620772 = V775038. assign V514256 = V164000. assign V769992 = V569775. assign V298073 = V217283. assign V040925 = V001862. assign V775667 = V668599. assign V101654 = V605458. assign V605458 = V027698 + 1. assign V548092 = V711850. assign V951479 = V365522 + 1. assign V752213 = V187970. assign V224617 = V910464 - 1. assign V653784 = V298073 + 1. assign V735907 = V217283. assign V463948 = V244802 + 1. assign V291266 = V620772 - 1. assign V930141 = V098505. assign V891336 = V178292 + 1. assign V779359 = V254353. assign V034426 = V298073 - 1. assign V593671 = V921395. assign V451281 = V884862 - 1. assign V254353 = V998543 - 1. assign V016006 = V230310. assign V862454 = V805017 - 1. assign V365522 = V023350 + 1. assign V083366 = V365522 + 1. assign V242572 = V926435 + 1. assign V696281 = V486089. assign V562803 = V059093. assign V001924 = V769992 + 1. assign V836430 = V217283 + 1. assign V415457 = V027698 - 1. assign V711850 = V686833 + 1. assign V848967 = V353022 + 1. assign V147629 = V930141 - 1. assign V579042 = V692632 + 1. assign V581696 = V935477 - 1. assign V686833 = V805017 - 1. assign V023350 = V936655. assign V895285 = V563132 + 1. assign V793040 = V466683. assign V637321 = V769992 + 1. assign V245997 = V595634. assign V917292 = V311225. assign V125933 = V224617 - 1. assign V921395 = V805017. assign V140874 = V735253 - 1. assign V283544 = V412736 - 1. assign V246531 = V466683 + 1. assign V692632 = V917292 - 1. assign V613412 = V466683 - 1. assign V074973 = V459280 + 1. assign V926435 = V884862 + 1. assign V050088 = V484313. assign V773929 = V921395 - 1. assign V527293 = V936655 + 1. assign V787105 = V194470 - 1. assign V558922 = V595634 - 1. assign V098505 = V773929 + 1. assign V563132 = V805017 + 1. assign V056022 = V735907 - 1. assign V497745 = V311225 - 1. assign V366163 = V593671 + 1. assign V027698 = V653784 - 1. assign V359074 = V998543 + 1. assign V459280 = V004896 + 1. assign V230545 = V540053. assign V046474 = V581696 - 1. assign V592480 = V805017 + 1. assign V047824 = V569775 + 1. assign V491671 = V735253 - 1. assign V883391 = V836430 + 1. assign V287387 = V372452. assign V484313 = V027698 + 1. assign V998543 = V884862 - 1. assign V042090 = V162832 + 1. assign V013443 = V540053 - 1. assign V136351 = V484313. assign V978777 = V773929 + 1. assign V933448 = V023350 + 1. assign V026921 = V926435. assign V718871 = V353580. assign V333871 = V735907 - 1. assign V259070 = V921395 + 1. assign V010456 = V497745 - 1. assign V004896 = V451281. assign V526766 = V942590 + 1. assign V397746 = V458264 + 1. assign V884661 = V735253 - 1. assign V415793 = V547474. assign V111921 = V204337. assign V805017 = V311225 - 1. assign V039761 = V360084 - 1. assign V358466 = V217283 - 1. assign V232134 = V481055 + 1. assign V914008 = V098505 + 1. assign V668599 = V686833 - 1. assign V349039 = V001862. assign V623536 = V451281 + 1. assign V947584 = V075343 - 1. assign V429321 = V125933. assign V582931 = V244802 - 1. assign V565984 = V668599 - 1. assign V741355 = V010456 - 1. assign V959200 = V973108 + 1. assign V745858 = V623536. assign V664428 = V936655. assign V439151 = V620772 - 1. assign V699734 = V779359. assign V110999 = V178292 - 1. assign V884862 = V884661 - 1. assign V059093 = V311225. assign V735253 = V805017 + 1. assign V353022 = V365522 - 1. assign V178292 = V581696 - 1. assign V164000 = V773929. assign V204337 = V359074 - 1. assign V976842 = V385758 - 1. assign V557128 = V451281 + 1. assign V741128 = V353580 + 1. assign V162832 = V711850 + 1. assign V230310 = 6. assign V825934 = V360084 + 1. assign V244802 = V034426 + 1. assign V992261 = V360084. assign V217283 = V805017 - 1. assign V483890 = V623536. assign V879153 = V595634. assign V385758 = V098505 + 1. assign V143469 = V429321 + 1. assign V958013 = V224617 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V278858 = V686833 + 1. assign V569775 = V884661. assign V360084 = V412736 + 1. assign V973108 = V605458. assign V919776 = V569775. assign V412736 = V458264 + 1. assign V372452 = V147629. assign V942590 = V998543 + 1. assign V629628 = V919776 - 1. assign V194470 = V935477 + 1. assign V486089 = V366163 + 1. assign V734243 = V365522 + 1. assign V547474 = V311225 + 1. assign V466683 = V569775. assign V787926 = V769992. assign V458264 = V805017 - 1. assign V862338 = V917292. assign V936655 = V910464 - 1. assign V075343 = V217283 - 1. assign V910464 = V884862 + 1. assign V481055 = V349039 + 1. assign V461464 = V848967 + 1. assign V285210 = V042090 + 1. assign V416433 = V311225. assign V227179 = V415793 - 1. assign V503887 = V224617 - 1. assign V775038 = V311225. assign V353580 = V921395. assign V001862 = V569775 - 1. assign V540241 = V557128 + 1. assign V187970 = V415793 + 1. assign V810052 = V217283. assign V730468 = V653784 - 1. assign V595634 = V884862 - 1. assign V813017 = V592480 + 1. assign V935477 = V246531 - 1. assign V238299 = V259070 + 1. assign V540053 = V224617 + 1. assign V545543 = V951479. assign V997280 = V143469 - 1. assign V620772 = V775038. assign V514256 = V164000. assign V769992 = V569775. assign V298073 = V217283. assign V040925 = V001862. assign V775667 = V668599. assign V101654 = V605458. assign V605458 = V027698 + 1. assign V548092 = V711850. assign V951479 = V365522 + 1. assign V752213 = V187970. assign V224617 = V910464 - 1. assign V653784 = V298073 + 1. assign V735907 = V217283. assign V463948 = V244802 + 1. assign V291266 = V620772 - 1. assign V930141 = V098505. assign V891336 = V178292 + 1. assign V779359 = V254353. assign V034426 = V298073 - 1. assign V593671 = V921395. assign V451281 = V884862 - 1. assign V254353 = V998543 - 1. assign V016006 = V230310. assign V862454 = V805017 - 1. assign V365522 = V023350 + 1. assign V083366 = V365522 + 1. assign V242572 = V926435 + 1. assign V696281 = V486089. assign V562803 = V059093. assign V001924 = V769992 + 1. assign V836430 = V217283 + 1. assign V415457 = V027698 - 1. assign V711850 = V686833 + 1. assign V848967 = V353022 + 1. assign V147629 = V930141 - 1. assign V579042 = V692632 + 1. assign V581696 = V935477 - 1. assign V686833 = V805017 - 1. assign V023350 = V936655. assign V895285 = V563132 + 1. assign V793040 = V466683. assign V637321 = V769992 + 1. assign V245997 = V595634. assign V917292 = V311225. assign V125933 = V224617 - 1. assign V921395 = V805017. assign V140874 = V735253 - 1. assign V283544 = V412736 - 1. assign V246531 = V466683 + 1. assign V692632 = V917292 - 1. assign V613412 = V466683 - 1. assign V074973 = V459280 + 1. assign V926435 = V884862 + 1. assign V050088 = V484313. assign V773929 = V921395 - 1. assign V527293 = V936655 + 1. assign V787105 = V194470 - 1. assign V558922 = V595634 - 1. assign V098505 = V773929 + 1. assign V563132 = V805017 + 1. assign V056022 = V735907 - 1. assign V497745 = V311225 - 1. assign V366163 = V593671 + 1. assign V027698 = V653784 - 1. assign V359074 = V998543 + 1. assign V459280 = V004896 + 1. assign V230545 = V540053. assign V046474 = V581696 - 1. assign V592480 = V805017 + 1. assign V047824 = V569775 + 1. assign V491671 = V735253 - 1. assign V883391 = V836430 + 1. assign V287387 = V372452. assign V484313 = V027698 + 1. assign V998543 = V884862 - 1. assign V042090 = V162832 + 1. assign V013443 = V540053 - 1. assign V136351 = V484313. assign V978777 = V773929 + 1. assign V933448 = V023350 + 1. assign V026921 = V926435. assign V718871 = V353580. assign V333871 = V735907 - 1. assign V259070 = V921395 + 1. assign V010456 = V497745 - 1. assign V004896 = V451281. assign V526766 = V942590 + 1. assign V397746 = V458264 + 1. assign V884661 = V735253 - 1. assign V415793 = V547474. assign V111921 = V204337. assign V805017 = V311225 - 1. assign V039761 = V360084 - 1. assign V358466 = V217283 - 1. assign V232134 = V481055 + 1. assign V914008 = V098505 + 1. assign V668599 = V686833 - 1. assign V349039 = V001862. assign V623536 = V451281 + 1. assign V947584 = V075343 - 1. assign V429321 = V125933. assign V582931 = V244802 - 1. assign V565984 = V668599 - 1. assign V741355 = V010456 - 1. assign V959200 = V973108 + 1. assign V745858 = V623536. assign V664428 = V936655. assign V439151 = V620772 - 1. assign V699734 = V779359. assign V110999 = V178292 - 1. assign V884862 = V884661 - 1. assign V059093 = V311225. assign V735253 = V805017 + 1. assign V353022 = V365522 - 1. assign V178292 = V581696 - 1. assign V164000 = V773929. assign V204337 = V359074 - 1. assign V976842 = V385758 - 1. assign V557128 = V451281 + 1. assign V741128 = V353580 + 1. assign V162832 = V711850 + 1. assign V230310 = 6. assign V825934 = V360084 + 1. assign V244802 = V034426 + 1. assign V992261 = V360084. assign V217283 = V805017 - 1. assign V483890 = V623536. assign V879153 = V595634. assign V385758 = V098505 + 1. assign V143469 = V429321 + 1. assign V958013 = V224617 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV230310 = 6;\n\nFrom these direct assignment(s), we have: \nV016006 = V230310 = 6;\nNo other variables can be derived from V016006;\nNo other variables can be derived from V230310;\n\nNow we have done all the calculations. Derived variables are:\nV230310 = 6;\nV016006 = 6;\n\nNow we have finished this problem. ANSWER:\nV230310, V016006\n", "role": "assistant" } ]

[ "V465295", "V351024" ]

[ { "content": "<context>\nassign V416739 = V698258 + 1. assign V365828 = V983825 + 1. assign V670661 = V871673 + 1. assign V593126 = V858243 + 1. assign V156498 = V850026 + 1. assign V782229 = V556199 - 1. assign V987660 = V939099 + 1. assign V129053 = V858696 + 1. assign V926153 = V486311 + 1. assign V850026 = V459741. assign V727470 = V282108 + 1. assign V405588 = V380121 - 1. assign V590265 = V947940. assign V919049 = V309611 - 1. assign V977418 = V733641. assign V775391 = V676065. assign V181384 = V614667 - 1. assign V979712 = V858243 + 1. assign V350665 = V621710. assign V155431 = V790703 - 1. assign V937470 = V016540. assign V284826 = V156498. assign V593305 = V416739 + 1. assign V277997 = V875666. assign V984498 = V593126 + 1. assign V317904 = V016540 + 1. assign V837563 = V924540 + 1. assign V764532 = V315302. assign V858696 = V175812. assign V773555 = V365828 + 1. assign V556199 = V847826. assign V388224 = V155431. assign V937769 = V496410 + 1. assign V489324 = V416739 + 1. assign V897296 = V698258 - 1. assign V528864 = V897296. assign V284195 = V810957 + 1. assign V792706 = V365828 - 1. assign V977120 = V713106 + 1. assign V205116 = V388224. assign V733641 = V694576. assign V357596 = V875666 - 1. assign V924540 = V983825 + 1. assign V166843 = V810957 + 1. assign V710543 = V631751 + 1. assign V358155 = V416739 + 1. assign V541675 = V358155 - 1. assign V670137 = V593126. assign V912070 = V543239 + 1. assign V664432 = V614667 + 1. assign V055757 = V909049 - 1. assign V903810 = V296962. assign V939099 = V296962. assign V175812 = V543229. assign V237483 = V459741 - 1. assign V342496 = V181384. assign V983825 = V459741. assign V614667 = V416739 - 1. assign V506508 = V984498. assign V368992 = V865903 - 1. assign V439542 = V118754 + 1. assign V198242 = V469557 + 1. assign V810957 = V983825 - 1. assign V763000 = V166843 + 1. assign V033798 = V469557. assign V871673 = V156498 + 1. assign V107919 = V909049. assign V698258 = V459741 - 1. assign V413265 = V987660. assign V694576 = V850026 - 1. assign V701233 = V284826. assign V277691 = V118754 - 1. assign V336127 = V166843 + 1. assign V739785 = V284758 - 1. assign V763605 = V701233 + 1. assign V683694 = V739162 + 1. assign V621710 = V265117 - 1. assign V328936 = V166843 + 1. assign V482086 = V937769 + 1. assign V206435 = V139919. assign V474934 = V739162. assign V294997 = V429275. assign V620135 = V108559 - 1. assign V909049 = V682758 - 1. assign V543239 = V108559. assign V463001 = V315302. assign V435289 = V315302 + 1. assign V485866 = V474934 - 1. assign V167812 = V739162. assign V573347 = V296962 + 1. assign V858243 = V694576. assign V865903 = V416739 - 1. assign V707856 = V983825. assign V138091 = V416739 + 1. assign V860675 = V790703. assign V971058 = V070261 - 1. assign V296962 = V265117 + 1. assign V016540 = V358155 + 1. assign V034182 = V237483 + 1. assign V348621 = V912524. assign V682758 = V790703. assign V267144 = V983825 + 1. assign V070261 = V701233. assign V755232 = V710543 + 1. assign V847826 = V694576. assign V802095 = V614667 - 1. assign V947940 = V336127 + 1. assign V790703 = V593126 - 1. assign V713106 = V469650 - 1. assign V284758 = V328936 + 1. assign V512006 = V156498 - 1. assign V950823 = V698258 + 1. assign V118754 = V950823. assign V400167 = V837563. assign V465295 = 4. assign V450552 = V707856 + 1. assign V952601 = V782229 - 1. assign V599699 = V309611. assign V496410 = V739162. assign V499103 = V599699 + 1. assign V139919 = V265117. assign V865613 = V380121. assign V798299 = V357596 + 1. assign V187378 = V358155 - 1. assign V708602 = V621710. assign V108559 = V467479. assign V668585 = V790703 + 1. assign V509518 = V388224. assign V613809 = V296962 - 1. assign V283416 = V284826 + 1. assign V380121 = V903810 - 1. assign V176731 = V237483 - 1. assign V486311 = V181384. assign V035232 = V416739. assign V251392 = V599738 + 1. assign V599738 = V107440 - 1. assign V265117 = V850026. assign V351024 = V465295. assign V502068 = V919049. assign V834089 = V837563 - 1. assign V467479 = V380121 - 1. assign V107440 = V543239 + 1. assign V912524 = V682758 + 1. assign V315302 = V858243. assign V400248 = V698258 + 1. assign V875666 = V284826 - 1. assign V817277 = V035232. assign V572213 = V450552 + 1. assign V269117 = V621710 - 1. assign V509060 = V198242 + 1. assign V399794 = V698258 - 1. assign V543229 = V739162 - 1. assign V708347 = V499103 - 1. assign V996863 = V621710 + 1. assign V980702 = V317904. assign V543865 = V983825 - 1. assign V469557 = V912070 - 1. assign V095741 = V450552 - 1. assign V882741 = V543865 - 1. assign V676065 = V315302 - 1. assign V517391 = V733641 - 1. assign V429275 = V400167. assign V592560 = V882741. assign V242339 = V118754 + 1. assign V309611 = V621710 + 1. assign V282108 = V439542. assign V469650 = V467479 + 1. assign V681721 = V882741 + 1. assign V631751 = V181384 + 1. assign V739162 = V296962 - 1. assign V928909 = V599738 + 1. assign V022928 = V739785 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V416739 = V698258 + 1. assign V365828 = V983825 + 1. assign V670661 = V871673 + 1. assign V593126 = V858243 + 1. assign V156498 = V850026 + 1. assign V782229 = V556199 - 1. assign V987660 = V939099 + 1. assign V129053 = V858696 + 1. assign V926153 = V486311 + 1. assign V850026 = V459741. assign V727470 = V282108 + 1. assign V405588 = V380121 - 1. assign V590265 = V947940. assign V919049 = V309611 - 1. assign V977418 = V733641. assign V775391 = V676065. assign V181384 = V614667 - 1. assign V979712 = V858243 + 1. assign V350665 = V621710. assign V155431 = V790703 - 1. assign V937470 = V016540. assign V284826 = V156498. assign V593305 = V416739 + 1. assign V277997 = V875666. assign V984498 = V593126 + 1. assign V317904 = V016540 + 1. assign V837563 = V924540 + 1. assign V764532 = V315302. assign V858696 = V175812. assign V773555 = V365828 + 1. assign V556199 = V847826. assign V388224 = V155431. assign V937769 = V496410 + 1. assign V489324 = V416739 + 1. assign V897296 = V698258 - 1. assign V528864 = V897296. assign V284195 = V810957 + 1. assign V792706 = V365828 - 1. assign V977120 = V713106 + 1. assign V205116 = V388224. assign V733641 = V694576. assign V357596 = V875666 - 1. assign V924540 = V983825 + 1. assign V166843 = V810957 + 1. assign V710543 = V631751 + 1. assign V358155 = V416739 + 1. assign V541675 = V358155 - 1. assign V670137 = V593126. assign V912070 = V543239 + 1. assign V664432 = V614667 + 1. assign V055757 = V909049 - 1. assign V903810 = V296962. assign V939099 = V296962. assign V175812 = V543229. assign V237483 = V459741 - 1. assign V342496 = V181384. assign V983825 = V459741. assign V614667 = V416739 - 1. assign V506508 = V984498. assign V368992 = V865903 - 1. assign V439542 = V118754 + 1. assign V198242 = V469557 + 1. assign V810957 = V983825 - 1. assign V763000 = V166843 + 1. assign V033798 = V469557. assign V871673 = V156498 + 1. assign V107919 = V909049. assign V698258 = V459741 - 1. assign V413265 = V987660. assign V694576 = V850026 - 1. assign V701233 = V284826. assign V277691 = V118754 - 1. assign V336127 = V166843 + 1. assign V739785 = V284758 - 1. assign V763605 = V701233 + 1. assign V683694 = V739162 + 1. assign V621710 = V265117 - 1. assign V328936 = V166843 + 1. assign V482086 = V937769 + 1. assign V206435 = V139919. assign V474934 = V739162. assign V294997 = V429275. assign V620135 = V108559 - 1. assign V909049 = V682758 - 1. assign V543239 = V108559. assign V463001 = V315302. assign V435289 = V315302 + 1. assign V485866 = V474934 - 1. assign V167812 = V739162. assign V573347 = V296962 + 1. assign V858243 = V694576. assign V865903 = V416739 - 1. assign V707856 = V983825. assign V138091 = V416739 + 1. assign V860675 = V790703. assign V971058 = V070261 - 1. assign V296962 = V265117 + 1. assign V016540 = V358155 + 1. assign V034182 = V237483 + 1. assign V348621 = V912524. assign V682758 = V790703. assign V267144 = V983825 + 1. assign V070261 = V701233. assign V755232 = V710543 + 1. assign V847826 = V694576. assign V802095 = V614667 - 1. assign V947940 = V336127 + 1. assign V790703 = V593126 - 1. assign V713106 = V469650 - 1. assign V284758 = V328936 + 1. assign V512006 = V156498 - 1. assign V950823 = V698258 + 1. assign V118754 = V950823. assign V400167 = V837563. assign V465295 = 4. assign V450552 = V707856 + 1. assign V952601 = V782229 - 1. assign V599699 = V309611. assign V496410 = V739162. assign V499103 = V599699 + 1. assign V139919 = V265117. assign V865613 = V380121. assign V798299 = V357596 + 1. assign V187378 = V358155 - 1. assign V708602 = V621710. assign V108559 = V467479. assign V668585 = V790703 + 1. assign V509518 = V388224. assign V613809 = V296962 - 1. assign V283416 = V284826 + 1. assign V380121 = V903810 - 1. assign V176731 = V237483 - 1. assign V486311 = V181384. assign V035232 = V416739. assign V251392 = V599738 + 1. assign V599738 = V107440 - 1. assign V265117 = V850026. assign V351024 = V465295. assign V502068 = V919049. assign V834089 = V837563 - 1. assign V467479 = V380121 - 1. assign V107440 = V543239 + 1. assign V912524 = V682758 + 1. assign V315302 = V858243. assign V400248 = V698258 + 1. assign V875666 = V284826 - 1. assign V817277 = V035232. assign V572213 = V450552 + 1. assign V269117 = V621710 - 1. assign V509060 = V198242 + 1. assign V399794 = V698258 - 1. assign V543229 = V739162 - 1. assign V708347 = V499103 - 1. assign V996863 = V621710 + 1. assign V980702 = V317904. assign V543865 = V983825 - 1. assign V469557 = V912070 - 1. assign V095741 = V450552 - 1. assign V882741 = V543865 - 1. assign V676065 = V315302 - 1. assign V517391 = V733641 - 1. assign V429275 = V400167. assign V592560 = V882741. assign V242339 = V118754 + 1. assign V309611 = V621710 + 1. assign V282108 = V439542. assign V469650 = V467479 + 1. assign V681721 = V882741 + 1. assign V631751 = V181384 + 1. assign V739162 = V296962 - 1. assign V928909 = V599738 + 1. assign V022928 = V739785 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV465295 = 4;\n\nFrom these direct assignment(s), we have: \nV351024 = V465295 = 4;\nNo other variables can be derived from V351024;\nNo other variables can be derived from V465295;\n\nNow we have done all the calculations. Derived variables are:\nV465295 = 4;\nV351024 = 4;\n\nNow we have finished this problem. ANSWER:\nV465295, V351024\n", "role": "assistant" } ]

[ "V123515" ]

[ { "content": "<context>\nassign V462629 = V732548 + 1. assign V905356 = V202171 + 1. assign V903697 = V221432 - 1. assign V655781 = V877762. assign V185903 = V743385 + 1. assign V452348 = V563212 - 1. assign V543364 = V432385 - 1. assign V527171 = V067071. assign V518779 = V052014 + 1. assign V736997 = V856667. assign V322345 = V296256. assign V872792 = V895924 - 1. assign V228199 = V296256 + 1. assign V573958 = V675244 - 1. assign V596951 = V815294. assign V895924 = V087022 + 1. assign V931960 = V020460. assign V385470 = V153063. assign V379119 = V483956 - 1. assign V856667 = V067071. assign V409477 = V527171. assign V654951 = V446474 - 1. assign V296256 = V451622 - 1. assign V511959 = V961604 + 1. assign V951118 = V915807. assign V465021 = V087022 - 1. assign V446337 = V379119. assign V330671 = V153063. assign V915807 = V884503 + 1. assign V653857 = V527171. assign V771750 = V087022 + 1. assign V563212 = V401697 + 1. assign V568973 = V676540. assign V636688 = V036314. assign V999374 = V638038 - 1. assign V223438 = V028136 - 1. assign V843856 = V020460 - 1. assign V279100 = V878976. assign V638038 = V342098 + 1. assign V309452 = V495720 + 1. assign V376583 = V020460. assign V250590 = V783305 + 1. assign V550825 = V405828 + 1. assign V052014 = V743385 + 1. assign V443415 = V783305 + 1. assign V856014 = V961604 + 1. assign V020460 = V087022 + 1. assign V640543 = V281708 + 1. assign V077085 = V281708 + 1. assign V487770 = V250590 - 1. assign V729840 = V931960 - 1. assign V401697 = V527171 + 1. assign V637121 = V761442. assign V221432 = V675244 + 1. assign V036314 = V081667 - 1. assign V153063 = V866666. assign V711909 = V596951 + 1. assign V642427 = V050157. assign V759995 = V202171. assign V928020 = V744632 - 1. assign V290469 = V800931 + 1. assign V869160 = V999374 + 1. assign V479606 = V495720. assign V175645 = V654951. assign V527754 = V379119 + 1. assign V595648 = V880853. assign V963652 = V308254. assign V308254 = V675244. assign V067071 = V976259 + 1. assign V791945 = V010944 - 1. assign V405828 = V432385 - 1. assign V567923 = V690955 + 1. assign V129438 = V563212 + 1. assign V020618 = V815294. assign V907822 = V800931 - 1. assign V597279 = V077085 - 1. assign V078467 = V191146. assign V783305 = V211869 - 1. assign V446474 = V676540 - 1. assign V484016 = V981414 - 1. assign V938532 = V676540. assign V878976 = V961604 + 1. assign V483956 = V479606 + 1. assign V612259 = V483956. assign V815294 = V483956 + 1. assign V017241 = V329555. assign V795938 = V527171 - 1. assign V827268 = V676032 - 1. assign V764655 = V675244 - 1. assign V028136 = V527685 + 1. assign V541827 = V915807. assign V690955 = V446474 + 1. assign V975448 = V961604 - 1. assign V339208 = V036314 - 1. assign V172115 = V595648. assign V239616 = V223438 - 1. assign V732548 = V479606. assign V574765 = V711909 + 1. assign V962893 = V401697 + 1. assign V955687 = V788957 - 1. assign V877762 = V342098. assign V788957 = V226991 + 1. assign V432385 = V495720. assign V497828 = V250590. assign V744632 = V675244 - 1. assign V495720 = V638038 - 1. assign V544486 = V976259 - 1. assign V191146 = V856667 + 1. assign V665479 = V574765 - 1. assign V321760 = V653857 - 1. assign V089962 = V843856. assign V618402 = V143607 + 1. assign V733339 = V446474 - 1. assign V569058 = V202171 - 1. assign V467817 = V884503. assign V010944 = V527171 + 1. assign V451622 = V976259. assign V149141 = V028136 + 1. assign V123515 = V398241 - 1. assign V884503 = V067071 - 1. assign V807767 = V401697 - 1. assign V135510 = V020460 + 1. assign V477707 = V077085 - 1. assign V143607 = V869160. assign V378265 = V465021 + 1. assign V184922 = V143607 - 1. assign V976259 = V087022 - 1. assign V398241 = 10. assign V207555 = V451622. assign V966983 = V931554 + 1. assign V987943 = V878976. assign V467526 = V226991 + 1. assign V329555 = V738387 + 1. assign V675244 = V077085. assign V572877 = V028136 - 1. assign V142089 = V732548 - 1. assign V228578 = V223438 + 1. assign V447199 = V153063 - 1. assign V071642 = V563212 - 1. assign V139433 = V423175 - 1. assign V555942 = V135510. assign V371173 = V690955 - 1. assign V579638 = V568973. assign V866666 = V067071 + 1. assign V676540 = V451622 - 1. assign V880853 = V010944 - 1. assign V738387 = V843856 - 1. assign V202171 = V477707. assign V423175 = V052014 + 1. assign V554309 = V711909. assign V320962 = V153063 + 1. assign V743385 = V976259. assign V931554 = V010944 + 1. assign V961604 = V020460 - 1. assign V716600 = V572877 - 1. assign V444818 = V579638 + 1. assign V468702 = V446474 + 1. assign V800931 = V211869. assign V955422 = V020618. assign V281708 = V743385 + 1. assign V226991 = V884503 - 1. assign V055985 = V052014. assign V050157 = V961604 - 1. assign V235688 = V226991 - 1. assign V211869 = V087022. assign V981414 = V052014 - 1. assign V081667 = V250590 + 1. assign V527685 = V036314 - 1. assign V342098 = V976259 - 1. assign V761442 = V732548 + 1. assign V844411 = V321760 + 1. assign V676032 = V544486 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V462629 = V732548 + 1. assign V905356 = V202171 + 1. assign V903697 = V221432 - 1. assign V655781 = V877762. assign V185903 = V743385 + 1. assign V452348 = V563212 - 1. assign V543364 = V432385 - 1. assign V527171 = V067071. assign V518779 = V052014 + 1. assign V736997 = V856667. assign V322345 = V296256. assign V872792 = V895924 - 1. assign V228199 = V296256 + 1. assign V573958 = V675244 - 1. assign V596951 = V815294. assign V895924 = V087022 + 1. assign V931960 = V020460. assign V385470 = V153063. assign V379119 = V483956 - 1. assign V856667 = V067071. assign V409477 = V527171. assign V654951 = V446474 - 1. assign V296256 = V451622 - 1. assign V511959 = V961604 + 1. assign V951118 = V915807. assign V465021 = V087022 - 1. assign V446337 = V379119. assign V330671 = V153063. assign V915807 = V884503 + 1. assign V653857 = V527171. assign V771750 = V087022 + 1. assign V563212 = V401697 + 1. assign V568973 = V676540. assign V636688 = V036314. assign V999374 = V638038 - 1. assign V223438 = V028136 - 1. assign V843856 = V020460 - 1. assign V279100 = V878976. assign V638038 = V342098 + 1. assign V309452 = V495720 + 1. assign V376583 = V020460. assign V250590 = V783305 + 1. assign V550825 = V405828 + 1. assign V052014 = V743385 + 1. assign V443415 = V783305 + 1. assign V856014 = V961604 + 1. assign V020460 = V087022 + 1. assign V640543 = V281708 + 1. assign V077085 = V281708 + 1. assign V487770 = V250590 - 1. assign V729840 = V931960 - 1. assign V401697 = V527171 + 1. assign V637121 = V761442. assign V221432 = V675244 + 1. assign V036314 = V081667 - 1. assign V153063 = V866666. assign V711909 = V596951 + 1. assign V642427 = V050157. assign V759995 = V202171. assign V928020 = V744632 - 1. assign V290469 = V800931 + 1. assign V869160 = V999374 + 1. assign V479606 = V495720. assign V175645 = V654951. assign V527754 = V379119 + 1. assign V595648 = V880853. assign V963652 = V308254. assign V308254 = V675244. assign V067071 = V976259 + 1. assign V791945 = V010944 - 1. assign V405828 = V432385 - 1. assign V567923 = V690955 + 1. assign V129438 = V563212 + 1. assign V020618 = V815294. assign V907822 = V800931 - 1. assign V597279 = V077085 - 1. assign V078467 = V191146. assign V783305 = V211869 - 1. assign V446474 = V676540 - 1. assign V484016 = V981414 - 1. assign V938532 = V676540. assign V878976 = V961604 + 1. assign V483956 = V479606 + 1. assign V612259 = V483956. assign V815294 = V483956 + 1. assign V017241 = V329555. assign V795938 = V527171 - 1. assign V827268 = V676032 - 1. assign V764655 = V675244 - 1. assign V028136 = V527685 + 1. assign V541827 = V915807. assign V690955 = V446474 + 1. assign V975448 = V961604 - 1. assign V339208 = V036314 - 1. assign V172115 = V595648. assign V239616 = V223438 - 1. assign V732548 = V479606. assign V574765 = V711909 + 1. assign V962893 = V401697 + 1. assign V955687 = V788957 - 1. assign V877762 = V342098. assign V788957 = V226991 + 1. assign V432385 = V495720. assign V497828 = V250590. assign V744632 = V675244 - 1. assign V495720 = V638038 - 1. assign V544486 = V976259 - 1. assign V191146 = V856667 + 1. assign V665479 = V574765 - 1. assign V321760 = V653857 - 1. assign V089962 = V843856. assign V618402 = V143607 + 1. assign V733339 = V446474 - 1. assign V569058 = V202171 - 1. assign V467817 = V884503. assign V010944 = V527171 + 1. assign V451622 = V976259. assign V149141 = V028136 + 1. assign V123515 = V398241 - 1. assign V884503 = V067071 - 1. assign V807767 = V401697 - 1. assign V135510 = V020460 + 1. assign V477707 = V077085 - 1. assign V143607 = V869160. assign V378265 = V465021 + 1. assign V184922 = V143607 - 1. assign V976259 = V087022 - 1. assign V398241 = 10. assign V207555 = V451622. assign V966983 = V931554 + 1. assign V987943 = V878976. assign V467526 = V226991 + 1. assign V329555 = V738387 + 1. assign V675244 = V077085. assign V572877 = V028136 - 1. assign V142089 = V732548 - 1. assign V228578 = V223438 + 1. assign V447199 = V153063 - 1. assign V071642 = V563212 - 1. assign V139433 = V423175 - 1. assign V555942 = V135510. assign V371173 = V690955 - 1. assign V579638 = V568973. assign V866666 = V067071 + 1. assign V676540 = V451622 - 1. assign V880853 = V010944 - 1. assign V738387 = V843856 - 1. assign V202171 = V477707. assign V423175 = V052014 + 1. assign V554309 = V711909. assign V320962 = V153063 + 1. assign V743385 = V976259. assign V931554 = V010944 + 1. assign V961604 = V020460 - 1. assign V716600 = V572877 - 1. assign V444818 = V579638 + 1. assign V468702 = V446474 + 1. assign V800931 = V211869. assign V955422 = V020618. assign V281708 = V743385 + 1. assign V226991 = V884503 - 1. assign V055985 = V052014. assign V050157 = V961604 - 1. assign V235688 = V226991 - 1. assign V211869 = V087022. assign V981414 = V052014 - 1. assign V081667 = V250590 + 1. assign V527685 = V036314 - 1. assign V342098 = V976259 - 1. assign V761442 = V732548 + 1. assign V844411 = V321760 + 1. assign V676032 = V544486 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV398241 = 10;\n\nFrom these direct assignment(s), we have: \nV123515 = V398241 - 1 = 10 - 1 =9;\nNo other variables can be derived from V123515;\nNo other variables can be derived from V398241;\n\nNow we have done all the calculations. Derived variables are:\nV398241 = 10;\nV123515 = 9;\n\nNow we have finished this problem. ANSWER:\nV123515\n", "role": "assistant" } ]

[ "V628030", "V733721" ]

[ { "content": "<context>\nassign V860539 = V308819 - 1. assign V841427 = V347782 + 1. assign V265331 = V555999. assign V826025 = V271816. assign V705849 = V614748. assign V055031 = V887517 + 1. assign V867081 = V026644. assign V558408 = V693875 + 1. assign V842215 = V952620. assign V563531 = V693875. assign V987047 = V692369 - 1. assign V550379 = V734155 + 1. assign V628030 = 2. assign V518683 = V693875 - 1. assign V966195 = V408935. assign V553934 = V067452 - 1. assign V186698 = V271816 + 1. assign V210221 = V693875 + 1. assign V376755 = V210221 + 1. assign V690595 = V563531 + 1. assign V348013 = V886634 - 1. assign V914927 = V701901. assign V081597 = V428430 - 1. assign V316012 = V008228. assign V342406 = V369172 - 1. assign V555999 = V821807 + 1. assign V402646 = V496156. assign V408935 = V981816 - 1. assign V504371 = V683667 + 1. assign V488804 = V964735 - 1. assign V085214 = V492441. assign V189840 = V772165 - 1. assign V616765 = V550379 + 1. assign V322077 = V342059. assign V712848 = V706893 + 1. assign V894656 = V762989 - 1. assign V193136 = V614748. assign V366190 = V887517 - 1. assign V828664 = V693875 - 1. assign V404317 = V821807 - 1. assign V496156 = V427428. assign V669101 = V822111 + 1. assign V201970 = V427428 + 1. assign V492441 = V762989 - 1. assign V801296 = V093194 + 1. assign V136794 = V427428. assign V313082 = V555999. assign V342059 = V136794 - 1. assign V207165 = V901628 - 1. assign V414577 = V958217 - 1. assign V380846 = V571940 + 1. assign V616285 = V952620 + 1. assign V886634 = V251337. assign V880528 = V492398 + 1. assign V057697 = V582257 + 1. assign V397319 = V693875 - 1. assign V795448 = V683667 + 1. assign V952620 = V594268. assign V026644 = V614748 - 1. assign V146306 = V762989 - 1. assign V580917 = V712848 + 1. assign V289445 = V801296 + 1. assign V336940 = V350783 + 1. assign V731387 = V551250 + 1. assign V242601 = V428430 + 1. assign V281542 = V614748. assign V090092 = V915877 - 1. assign V287106 = V193136. assign V716688 = V308819. assign V820495 = V582257 - 1. assign V995777 = V404317 - 1. assign V008228 = V693875 + 1. assign V161415 = V669101. assign V141791 = V336940 + 1. assign V396129 = V867081 - 1. assign V808363 = V207165 - 1. assign V067452 = V271816 + 1. assign V177923 = V492441 - 1. assign V549275 = V492398 + 1. assign V551250 = V366190. assign V350783 = V712848. assign V887517 = V693875 - 1. assign V964735 = V193136. assign V095041 = V124865 + 1. assign V918070 = V734155 + 1. assign V318513 = V551250 + 1. assign V809094 = V886634. assign V216071 = V281542 + 1. assign V734155 = V204334. assign V056619 = V042783 + 1. assign V167290 = V146306. assign V948295 = V376878 + 1. assign V271816 = V428430 + 1. assign V614748 = V210221 - 1. assign V822111 = V193136. assign V867377 = V614748 - 1. assign V813736 = V124865 - 1. assign V388567 = V958217 - 1. assign V762989 = V026644 - 1. assign V815900 = V958217. assign V369172 = V706893 - 1. assign V824153 = V551250 - 1. assign V251337 = V772165 + 1. assign V428430 = V427428. assign V968282 = V872204 + 1. assign V222164 = V132297 - 1. assign V145282 = V201970 - 1. assign V036195 = V594268. assign V493015 = V204334 + 1. assign V058729 = V342406 - 1. assign V093194 = V193136. assign V137801 = V821807 - 1. assign V821807 = V716688. assign V129813 = V167290 + 1. assign V872204 = V347782. assign V706893 = V693875 + 1. assign V476475 = V067933 + 1. assign V492398 = V762989 + 1. assign V016623 = V815900 - 1. assign V042783 = V701901 - 1. assign V376156 = V683667 + 1. assign V517964 = V867081. assign V427428 = V369172 - 1. assign V981816 = V693875. assign V701901 = V414577. assign V308819 = V706893. assign V114161 = V772165 + 1. assign V523809 = V186698. assign V531905 = V388567 + 1. assign V074951 = V207165 + 1. assign V941101 = V716688. assign V582257 = V692369 - 1. assign V535777 = V204334 + 1. assign V350087 = V124865 + 1. assign V901628 = V369172. assign V683667 = V705849 - 1. assign V238221 = V690595 + 1. assign V450000 = V348013 - 1. assign V204334 = V210221 - 1. assign V467511 = V734155 + 1. assign V539141 = V488804 - 1. assign V958217 = V550379. assign V132297 = V313082 + 1. assign V376878 = V914927. assign V709354 = V808363 - 1. assign V657562 = V872204 - 1. assign V594268 = V271816 + 1. assign V174608 = V550379. assign V623513 = V322077 + 1. assign V571940 = V347782. assign V494696 = V271816. assign V411874 = V289445 + 1. assign V067327 = V313082 - 1. assign V917346 = V136794 - 1. assign V767461 = V844221 - 1. assign V398883 = V074951 - 1. assign V692369 = V493015. assign V569450 = V822111. assign V733721 = V628030. assign V067933 = V193136 - 1. assign V830914 = V415063 - 1. assign V415063 = V204334 - 1. assign V347782 = V342406. assign V844221 = V822111 + 1. assign V186146 = V614748 + 1. assign V464148 = V558408 + 1. assign V915877 = V450000 - 1. assign V639650 = V614748 - 1. assign V828094 = V844221. assign V124865 = V706893 - 1. assign V772165 = V614748 + 1. assign V635263 = V616285.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V860539 = V308819 - 1. assign V841427 = V347782 + 1. assign V265331 = V555999. assign V826025 = V271816. assign V705849 = V614748. assign V055031 = V887517 + 1. assign V867081 = V026644. assign V558408 = V693875 + 1. assign V842215 = V952620. assign V563531 = V693875. assign V987047 = V692369 - 1. assign V550379 = V734155 + 1. assign V628030 = 2. assign V518683 = V693875 - 1. assign V966195 = V408935. assign V553934 = V067452 - 1. assign V186698 = V271816 + 1. assign V210221 = V693875 + 1. assign V376755 = V210221 + 1. assign V690595 = V563531 + 1. assign V348013 = V886634 - 1. assign V914927 = V701901. assign V081597 = V428430 - 1. assign V316012 = V008228. assign V342406 = V369172 - 1. assign V555999 = V821807 + 1. assign V402646 = V496156. assign V408935 = V981816 - 1. assign V504371 = V683667 + 1. assign V488804 = V964735 - 1. assign V085214 = V492441. assign V189840 = V772165 - 1. assign V616765 = V550379 + 1. assign V322077 = V342059. assign V712848 = V706893 + 1. assign V894656 = V762989 - 1. assign V193136 = V614748. assign V366190 = V887517 - 1. assign V828664 = V693875 - 1. assign V404317 = V821807 - 1. assign V496156 = V427428. assign V669101 = V822111 + 1. assign V201970 = V427428 + 1. assign V492441 = V762989 - 1. assign V801296 = V093194 + 1. assign V136794 = V427428. assign V313082 = V555999. assign V342059 = V136794 - 1. assign V207165 = V901628 - 1. assign V414577 = V958217 - 1. assign V380846 = V571940 + 1. assign V616285 = V952620 + 1. assign V886634 = V251337. assign V880528 = V492398 + 1. assign V057697 = V582257 + 1. assign V397319 = V693875 - 1. assign V795448 = V683667 + 1. assign V952620 = V594268. assign V026644 = V614748 - 1. assign V146306 = V762989 - 1. assign V580917 = V712848 + 1. assign V289445 = V801296 + 1. assign V336940 = V350783 + 1. assign V731387 = V551250 + 1. assign V242601 = V428430 + 1. assign V281542 = V614748. assign V090092 = V915877 - 1. assign V287106 = V193136. assign V716688 = V308819. assign V820495 = V582257 - 1. assign V995777 = V404317 - 1. assign V008228 = V693875 + 1. assign V161415 = V669101. assign V141791 = V336940 + 1. assign V396129 = V867081 - 1. assign V808363 = V207165 - 1. assign V067452 = V271816 + 1. assign V177923 = V492441 - 1. assign V549275 = V492398 + 1. assign V551250 = V366190. assign V350783 = V712848. assign V887517 = V693875 - 1. assign V964735 = V193136. assign V095041 = V124865 + 1. assign V918070 = V734155 + 1. assign V318513 = V551250 + 1. assign V809094 = V886634. assign V216071 = V281542 + 1. assign V734155 = V204334. assign V056619 = V042783 + 1. assign V167290 = V146306. assign V948295 = V376878 + 1. assign V271816 = V428430 + 1. assign V614748 = V210221 - 1. assign V822111 = V193136. assign V867377 = V614748 - 1. assign V813736 = V124865 - 1. assign V388567 = V958217 - 1. assign V762989 = V026644 - 1. assign V815900 = V958217. assign V369172 = V706893 - 1. assign V824153 = V551250 - 1. assign V251337 = V772165 + 1. assign V428430 = V427428. assign V968282 = V872204 + 1. assign V222164 = V132297 - 1. assign V145282 = V201970 - 1. assign V036195 = V594268. assign V493015 = V204334 + 1. assign V058729 = V342406 - 1. assign V093194 = V193136. assign V137801 = V821807 - 1. assign V821807 = V716688. assign V129813 = V167290 + 1. assign V872204 = V347782. assign V706893 = V693875 + 1. assign V476475 = V067933 + 1. assign V492398 = V762989 + 1. assign V016623 = V815900 - 1. assign V042783 = V701901 - 1. assign V376156 = V683667 + 1. assign V517964 = V867081. assign V427428 = V369172 - 1. assign V981816 = V693875. assign V701901 = V414577. assign V308819 = V706893. assign V114161 = V772165 + 1. assign V523809 = V186698. assign V531905 = V388567 + 1. assign V074951 = V207165 + 1. assign V941101 = V716688. assign V582257 = V692369 - 1. assign V535777 = V204334 + 1. assign V350087 = V124865 + 1. assign V901628 = V369172. assign V683667 = V705849 - 1. assign V238221 = V690595 + 1. assign V450000 = V348013 - 1. assign V204334 = V210221 - 1. assign V467511 = V734155 + 1. assign V539141 = V488804 - 1. assign V958217 = V550379. assign V132297 = V313082 + 1. assign V376878 = V914927. assign V709354 = V808363 - 1. assign V657562 = V872204 - 1. assign V594268 = V271816 + 1. assign V174608 = V550379. assign V623513 = V322077 + 1. assign V571940 = V347782. assign V494696 = V271816. assign V411874 = V289445 + 1. assign V067327 = V313082 - 1. assign V917346 = V136794 - 1. assign V767461 = V844221 - 1. assign V398883 = V074951 - 1. assign V692369 = V493015. assign V569450 = V822111. assign V733721 = V628030. assign V067933 = V193136 - 1. assign V830914 = V415063 - 1. assign V415063 = V204334 - 1. assign V347782 = V342406. assign V844221 = V822111 + 1. assign V186146 = V614748 + 1. assign V464148 = V558408 + 1. assign V915877 = V450000 - 1. assign V639650 = V614748 - 1. assign V828094 = V844221. assign V124865 = V706893 - 1. assign V772165 = V614748 + 1. assign V635263 = V616285.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV628030 = 2;\n\nFrom these direct assignment(s), we have: \nV733721 = V628030 = 2;\nNo other variables can be derived from V733721;\nNo other variables can be derived from V628030;\n\nNow we have done all the calculations. Derived variables are:\nV628030 = 2;\nV733721 = 2;\n\nNow we have finished this problem. ANSWER:\nV628030, V733721\n", "role": "assistant" } ]

[ "V560010" ]

[ { "content": "<context>\nassign V364818 = V273827 + 1. assign V045910 = 1. assign V665741 = V596267 - 1. assign V910075 = V985445 - 1. assign V019126 = V381800 + 1. assign V382153 = V786462. assign V103163 = V846003 - 1. assign V869853 = V526144 - 1. assign V962802 = V844285. assign V551469 = V212478 + 1. assign V526144 = V939850. assign V274077 = V626051 - 1. assign V560010 = V045910 + 1. assign V786028 = V387207 - 1. assign V520859 = V374699. assign V851556 = V985445 - 1. assign V343875 = V159871 + 1. assign V844285 = V910075. assign V415132 = V517848 - 1. assign V786462 = V076365 - 1. assign V359631 = V786462. assign V985445 = V854719. assign V841405 = V077211 + 1. assign V238018 = V496429 + 1. assign V486583 = V922032 - 1. assign V310347 = V985445 - 1. assign V287650 = V722578 - 1. assign V740282 = V517848 - 1. assign V546864 = V293622 - 1. assign V906980 = V238018 + 1. assign V973208 = V517848 + 1. assign V243057 = V560892. assign V412778 = V939850 + 1. assign V273827 = V459416 - 1. assign V523463 = V496429 + 1. assign V449287 = V999887. assign V457885 = V596267 + 1. assign V590741 = V458856 - 1. assign V527643 = V443187 + 1. assign V962349 = V204154 - 1. assign V213496 = V551469 - 1. assign V539426 = V213496. assign V734353 = V722578. assign V640537 = V144499 + 1. assign V395817 = V740282. assign V928802 = V395817 - 1. assign V573368 = V517848 - 1. assign V047637 = V027353. assign V281627 = V683038 - 1. assign V210887 = V962349. assign V151542 = V851556 + 1. assign V722578 = V939850 + 1. assign V024620 = V382484 - 1. assign V042145 = V306512 + 1. assign V834444 = V023661. assign V560892 = V550527 + 1. assign V306512 = V476769. assign V202874 = V786462 - 1. assign V569124 = V719778 - 1. assign V846278 = V910075. assign V683038 = V517848. assign V856723 = V415132 - 1. assign V293622 = V524775. assign V382484 = V672683 + 1. assign V840630 = V243057. assign V813014 = V550527 - 1. assign V395054 = V212478 + 1. assign V258753 = V910075 + 1. assign V252201 = V387207 + 1. assign V944017 = V372446. assign V285655 = V632898 - 1. assign V144499 = V985445 + 1. assign V864259 = V722578 - 1. assign V340353 = V475616. assign V070942 = V844285. assign V091884 = V243057 + 1. assign V738319 = V665741 + 1. assign V744146 = V372446 + 1. assign V189507 = V573368 - 1. assign V625185 = V858063 - 1. assign V483802 = V443187. assign V898146 = V517848 - 1. assign V204154 = V910075 + 1. assign V254387 = V897536 + 1. assign V854719 = V517848 + 1. assign V458856 = V560892 - 1. assign V859487 = V596267 - 1. assign V459416 = V864259 + 1. assign V229504 = V626051 - 1. assign V959774 = V374699 - 1. assign V672683 = V372446 + 1. assign V282277 = V550527. assign V324325 = V459416 - 1. assign V111598 = V359631 - 1. assign V027353 = V476769 + 1. assign V801433 = V922032 + 1. assign V212478 = V898146. assign V159871 = V550527 + 1. assign V632898 = V517848. assign V513769 = V238018 - 1. assign V381800 = V590741 + 1. assign V376886 = V854719. assign V308818 = V665741. assign V073090 = V672683 - 1. assign V524775 = V851556. assign V254273 = V898146. assign V878415 = V846278 - 1. assign V496429 = V910075 - 1. assign V939850 = V854719 - 1. assign V483287 = V740282 + 1. assign V380959 = V382484 + 1. assign V090931 = V258753 + 1. assign V383858 = V202874 + 1. assign V102033 = V550527 - 1. assign V626051 = V665741. assign V922032 = V560892 + 1. assign V771229 = V466097. assign V181353 = V922032 - 1. assign V762603 = V364818. assign V374699 = V282277 + 1. assign V427462 = V144499 + 1. assign V521529 = V491154 - 1. assign V865433 = V374699 - 1. assign V858063 = V458856 + 1. assign V429942 = V496429 - 1. assign V846003 = V851556. assign V733475 = V546864 + 1. assign V475616 = V985445 - 1. assign V306504 = V367188 - 1. assign V683057 = V573368. assign V476769 = V343875 - 1. assign V212698 = V878415. assign V023661 = V212478 + 1. assign V032991 = V282277 - 1. assign V361195 = V343875 - 1. assign V696836 = V076365. assign V172009 = V091884. assign V718188 = V258753 - 1. assign V367188 = V372446 - 1. assign V082025 = V238018 + 1. assign V491154 = V254273. assign V620624 = V520859 + 1. assign V905565 = V551469. assign V596267 = V786462. assign V228652 = V640537 + 1. assign V256734 = V109640. assign V897536 = V910075. assign V602496 = V523463. assign V443187 = V204154. assign V914185 = V520859 - 1. assign V415655 = V869853 + 1. assign V435231 = V151542 - 1. assign V050893 = V213496 - 1. assign V475026 = V457885 + 1. assign V918614 = V854719 - 1. assign V117382 = V340353 - 1. assign V109640 = V672683 - 1. assign V550527 = V854719. assign V840842 = V073090 + 1. assign V718206 = V496429 - 1. assign V999887 = V412778 - 1. assign V387207 = V573368 - 1. assign V220850 = V973208 - 1. assign V740753 = V212478 - 1. assign V367062 = V443187. assign V076365 = V573368. assign V719778 = V282277 + 1. assign V372446 = V573368 + 1. assign V466097 = V159871 - 1. assign V077211 = V973208 + 1. assign V041054 = V672683 + 1. assign V098852 = V343875 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V364818 = V273827 + 1. assign V045910 = 1. assign V665741 = V596267 - 1. assign V910075 = V985445 - 1. assign V019126 = V381800 + 1. assign V382153 = V786462. assign V103163 = V846003 - 1. assign V869853 = V526144 - 1. assign V962802 = V844285. assign V551469 = V212478 + 1. assign V526144 = V939850. assign V274077 = V626051 - 1. assign V560010 = V045910 + 1. assign V786028 = V387207 - 1. assign V520859 = V374699. assign V851556 = V985445 - 1. assign V343875 = V159871 + 1. assign V844285 = V910075. assign V415132 = V517848 - 1. assign V786462 = V076365 - 1. assign V359631 = V786462. assign V985445 = V854719. assign V841405 = V077211 + 1. assign V238018 = V496429 + 1. assign V486583 = V922032 - 1. assign V310347 = V985445 - 1. assign V287650 = V722578 - 1. assign V740282 = V517848 - 1. assign V546864 = V293622 - 1. assign V906980 = V238018 + 1. assign V973208 = V517848 + 1. assign V243057 = V560892. assign V412778 = V939850 + 1. assign V273827 = V459416 - 1. assign V523463 = V496429 + 1. assign V449287 = V999887. assign V457885 = V596267 + 1. assign V590741 = V458856 - 1. assign V527643 = V443187 + 1. assign V962349 = V204154 - 1. assign V213496 = V551469 - 1. assign V539426 = V213496. assign V734353 = V722578. assign V640537 = V144499 + 1. assign V395817 = V740282. assign V928802 = V395817 - 1. assign V573368 = V517848 - 1. assign V047637 = V027353. assign V281627 = V683038 - 1. assign V210887 = V962349. assign V151542 = V851556 + 1. assign V722578 = V939850 + 1. assign V024620 = V382484 - 1. assign V042145 = V306512 + 1. assign V834444 = V023661. assign V560892 = V550527 + 1. assign V306512 = V476769. assign V202874 = V786462 - 1. assign V569124 = V719778 - 1. assign V846278 = V910075. assign V683038 = V517848. assign V856723 = V415132 - 1. assign V293622 = V524775. assign V382484 = V672683 + 1. assign V840630 = V243057. assign V813014 = V550527 - 1. assign V395054 = V212478 + 1. assign V258753 = V910075 + 1. assign V252201 = V387207 + 1. assign V944017 = V372446. assign V285655 = V632898 - 1. assign V144499 = V985445 + 1. assign V864259 = V722578 - 1. assign V340353 = V475616. assign V070942 = V844285. assign V091884 = V243057 + 1. assign V738319 = V665741 + 1. assign V744146 = V372446 + 1. assign V189507 = V573368 - 1. assign V625185 = V858063 - 1. assign V483802 = V443187. assign V898146 = V517848 - 1. assign V204154 = V910075 + 1. assign V254387 = V897536 + 1. assign V854719 = V517848 + 1. assign V458856 = V560892 - 1. assign V859487 = V596267 - 1. assign V459416 = V864259 + 1. assign V229504 = V626051 - 1. assign V959774 = V374699 - 1. assign V672683 = V372446 + 1. assign V282277 = V550527. assign V324325 = V459416 - 1. assign V111598 = V359631 - 1. assign V027353 = V476769 + 1. assign V801433 = V922032 + 1. assign V212478 = V898146. assign V159871 = V550527 + 1. assign V632898 = V517848. assign V513769 = V238018 - 1. assign V381800 = V590741 + 1. assign V376886 = V854719. assign V308818 = V665741. assign V073090 = V672683 - 1. assign V524775 = V851556. assign V254273 = V898146. assign V878415 = V846278 - 1. assign V496429 = V910075 - 1. assign V939850 = V854719 - 1. assign V483287 = V740282 + 1. assign V380959 = V382484 + 1. assign V090931 = V258753 + 1. assign V383858 = V202874 + 1. assign V102033 = V550527 - 1. assign V626051 = V665741. assign V922032 = V560892 + 1. assign V771229 = V466097. assign V181353 = V922032 - 1. assign V762603 = V364818. assign V374699 = V282277 + 1. assign V427462 = V144499 + 1. assign V521529 = V491154 - 1. assign V865433 = V374699 - 1. assign V858063 = V458856 + 1. assign V429942 = V496429 - 1. assign V846003 = V851556. assign V733475 = V546864 + 1. assign V475616 = V985445 - 1. assign V306504 = V367188 - 1. assign V683057 = V573368. assign V476769 = V343875 - 1. assign V212698 = V878415. assign V023661 = V212478 + 1. assign V032991 = V282277 - 1. assign V361195 = V343875 - 1. assign V696836 = V076365. assign V172009 = V091884. assign V718188 = V258753 - 1. assign V367188 = V372446 - 1. assign V082025 = V238018 + 1. assign V491154 = V254273. assign V620624 = V520859 + 1. assign V905565 = V551469. assign V596267 = V786462. assign V228652 = V640537 + 1. assign V256734 = V109640. assign V897536 = V910075. assign V602496 = V523463. assign V443187 = V204154. assign V914185 = V520859 - 1. assign V415655 = V869853 + 1. assign V435231 = V151542 - 1. assign V050893 = V213496 - 1. assign V475026 = V457885 + 1. assign V918614 = V854719 - 1. assign V117382 = V340353 - 1. assign V109640 = V672683 - 1. assign V550527 = V854719. assign V840842 = V073090 + 1. assign V718206 = V496429 - 1. assign V999887 = V412778 - 1. assign V387207 = V573368 - 1. assign V220850 = V973208 - 1. assign V740753 = V212478 - 1. assign V367062 = V443187. assign V076365 = V573368. assign V719778 = V282277 + 1. assign V372446 = V573368 + 1. assign V466097 = V159871 - 1. assign V077211 = V973208 + 1. assign V041054 = V672683 + 1. assign V098852 = V343875 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV045910 = 1;\n\nFrom these direct assignment(s), we have: \nV560010 = V045910 + 1 = 1 + 1 =2;\nNo other variables can be derived from V560010;\nNo other variables can be derived from V045910;\n\nNow we have done all the calculations. Derived variables are:\nV045910 = 1;\nV560010 = 2;\n\nNow we have finished this problem. ANSWER:\nV560010\n", "role": "assistant" } ]

[ "V390086" ]

[ { "content": "<context>\nassign V393107 = V499005. assign V054627 = V869186 + 1. assign V708811 = V082300 - 1. assign V787702 = V912495 - 1. assign V857266 = V875158. assign V331130 = V095650 + 1. assign V942126 = V580960. assign V482650 = V861204. assign V297399 = V644186 - 1. assign V326945 = V826832. assign V839338 = V331130. assign V002581 = V320216 + 1. assign V861204 = V644186 + 1. assign V740087 = V449920 + 1. assign V385230 = V613375. assign V020023 = V718068 + 1. assign V178759 = V089661 + 1. assign V472473 = V367567. assign V972305 = V054627 - 1. assign V008059 = V416034 - 1. assign V109888 = V496894. assign V008721 = V458112 - 1. assign V802939 = V676463 + 1. assign V283949 = V037125 - 1. assign V081384 = V119358 + 1. assign V985244 = V385230 - 1. assign V684037 = V917617 + 1. assign V206272 = V114035 - 1. assign V067426 = V613375 + 1. assign V694389 = V046778 - 1. assign V254157 = V331295 + 1. assign V907320 = V089661 + 1. assign V147735 = V551531. assign V581238 = V911503 + 1. assign V888314 = V894530 + 1. assign V947152 = V718068 + 1. assign V309874 = V911503 + 1. assign V458112 = V105117. assign V046778 = V082300. assign V760023 = V095650 - 1. assign V302174 = V254157 - 1. assign V112807 = V739568 - 1. assign V089661 = V718068 + 1. assign V439394 = V175824 + 1. assign V100457 = 4. assign V580960 = V315773 + 1. assign V082300 = V942126. assign V496894 = V613375 - 1. assign V445483 = V499005 + 1. assign V772376 = V210232. assign V300698 = V947152 - 1. assign V240344 = V911503 - 1. assign V642574 = V839338. assign V320216 = V676463. assign V651369 = V917617. assign V183457 = V936340 + 1. assign V963310 = V685201 + 1. assign V390086 = V100457 + 1. assign V551531 = V916345. assign V066522 = V580960 + 1. assign V672916 = V911503 - 1. assign V507776 = V287110 + 1. assign V830625 = V389828 - 1. assign V626904 = V328302 - 1. assign V566276 = V532128 - 1. assign V181192 = V778593. assign V149352 = V095650. assign V974923 = V037125 + 1. assign V367567 = V568221 + 1. assign V703166 = V985244 - 1. assign V676463 = V078691 - 1. assign V568221 = V020023 - 1. assign V331295 = V067426. assign V949254 = V613375 - 1. assign V838415 = V210232 - 1. assign V114035 = V172529 + 1. assign V613375 = V315773 - 1. assign V037125 = V718068 + 1. assign V791119 = V640762 - 1. assign V016378 = V838415. assign V644186 = V684037 - 1. assign V161984 = V651369. assign V669325 = V640762 - 1. assign V100960 = V210232 + 1. assign V210232 = V331130. assign V912495 = V210232 - 1. assign V308156 = V325572. assign V989123 = V613375 - 1. assign V936340 = V809280 - 1. assign V894530 = V861204 - 1. assign V545804 = V917617 - 1. assign V325572 = V482650. assign V072789 = V129365 - 1. assign V928518 = V089661. assign V319736 = V020023. assign V739568 = V410245 + 1. assign V869186 = V718068 - 1. assign V499005 = V300698 - 1. assign V640762 = V499005. assign V287110 = V300698. assign V359792 = V172529 - 1. assign V024495 = V947152. assign V615785 = V175824. assign V718068 = V613375. assign V809280 = V326945 - 1. assign V492702 = V672916 - 1. assign V826832 = V947152 - 1. assign V845585 = V621921. assign V566308 = V953401 + 1. assign V280880 = V129365 - 1. assign V172529 = V175824. assign V677374 = V672916. assign V705947 = V072789. assign V095650 = V580960 - 1. assign V963141 = V621921. assign V778693 = V739568 - 1. assign V590482 = V439394. assign V911503 = V917617 - 1. assign V953401 = V580960 - 1. assign V685201 = V861204 + 1. assign V917926 = V317461 + 1. assign V849665 = V869186 - 1. assign V129365 = V917617. assign V087443 = V963141 + 1. assign V155607 = V100960. assign V119358 = V100960. assign V572771 = V849665 - 1. assign V416034 = V089661 - 1. assign V157610 = V410245 - 1. assign V098631 = V585303 + 1. assign V917617 = V105117 - 1. assign V317901 = V945760. assign V965892 = V684037 + 1. assign V512295 = V942126. assign V449920 = V175824 + 1. assign V713701 = V621921 - 1. assign V317461 = V302174. assign V532128 = V331130 - 1. assign V759393 = V095650. assign V469241 = V439394 - 1. assign V389828 = V319736 - 1. assign V078691 = V020023 - 1. assign V916345 = V066522. assign V036795 = V136210. assign V105117 = V322329 - 1. assign V883787 = V642574 - 1. assign V387548 = V359792 - 1. assign V322329 = V613375 + 1. assign V410245 = V672916. assign V506166 = V322329. assign V841483 = V684037. assign V585303 = V791119. assign V231047 = V713701 - 1. assign V136210 = V287110 + 1. assign V890811 = V410245 - 1. assign V794150 = V739568 - 1. assign V175824 = V613375. assign V953344 = V206272 + 1. assign V945760 = V136210 - 1. assign V056839 = V580960. assign V548529 = V387548 - 1. assign V621921 = V861204. assign V778593 = V066522 + 1. assign V859584 = V287110. assign V715579 = V642574 + 1. assign V328302 = V826832 + 1. assign V949423 = V210232. assign V885107 = V416034 + 1. assign V485607 = V972305 - 1. assign V721617 = V072789. assign V875158 = V672916 + 1. assign V991708 = V297399.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V393107 = V499005. assign V054627 = V869186 + 1. assign V708811 = V082300 - 1. assign V787702 = V912495 - 1. assign V857266 = V875158. assign V331130 = V095650 + 1. assign V942126 = V580960. assign V482650 = V861204. assign V297399 = V644186 - 1. assign V326945 = V826832. assign V839338 = V331130. assign V002581 = V320216 + 1. assign V861204 = V644186 + 1. assign V740087 = V449920 + 1. assign V385230 = V613375. assign V020023 = V718068 + 1. assign V178759 = V089661 + 1. assign V472473 = V367567. assign V972305 = V054627 - 1. assign V008059 = V416034 - 1. assign V109888 = V496894. assign V008721 = V458112 - 1. assign V802939 = V676463 + 1. assign V283949 = V037125 - 1. assign V081384 = V119358 + 1. assign V985244 = V385230 - 1. assign V684037 = V917617 + 1. assign V206272 = V114035 - 1. assign V067426 = V613375 + 1. assign V694389 = V046778 - 1. assign V254157 = V331295 + 1. assign V907320 = V089661 + 1. assign V147735 = V551531. assign V581238 = V911503 + 1. assign V888314 = V894530 + 1. assign V947152 = V718068 + 1. assign V309874 = V911503 + 1. assign V458112 = V105117. assign V046778 = V082300. assign V760023 = V095650 - 1. assign V302174 = V254157 - 1. assign V112807 = V739568 - 1. assign V089661 = V718068 + 1. assign V439394 = V175824 + 1. assign V100457 = 4. assign V580960 = V315773 + 1. assign V082300 = V942126. assign V496894 = V613375 - 1. assign V445483 = V499005 + 1. assign V772376 = V210232. assign V300698 = V947152 - 1. assign V240344 = V911503 - 1. assign V642574 = V839338. assign V320216 = V676463. assign V651369 = V917617. assign V183457 = V936340 + 1. assign V963310 = V685201 + 1. assign V390086 = V100457 + 1. assign V551531 = V916345. assign V066522 = V580960 + 1. assign V672916 = V911503 - 1. assign V507776 = V287110 + 1. assign V830625 = V389828 - 1. assign V626904 = V328302 - 1. assign V566276 = V532128 - 1. assign V181192 = V778593. assign V149352 = V095650. assign V974923 = V037125 + 1. assign V367567 = V568221 + 1. assign V703166 = V985244 - 1. assign V676463 = V078691 - 1. assign V568221 = V020023 - 1. assign V331295 = V067426. assign V949254 = V613375 - 1. assign V838415 = V210232 - 1. assign V114035 = V172529 + 1. assign V613375 = V315773 - 1. assign V037125 = V718068 + 1. assign V791119 = V640762 - 1. assign V016378 = V838415. assign V644186 = V684037 - 1. assign V161984 = V651369. assign V669325 = V640762 - 1. assign V100960 = V210232 + 1. assign V210232 = V331130. assign V912495 = V210232 - 1. assign V308156 = V325572. assign V989123 = V613375 - 1. assign V936340 = V809280 - 1. assign V894530 = V861204 - 1. assign V545804 = V917617 - 1. assign V325572 = V482650. assign V072789 = V129365 - 1. assign V928518 = V089661. assign V319736 = V020023. assign V739568 = V410245 + 1. assign V869186 = V718068 - 1. assign V499005 = V300698 - 1. assign V640762 = V499005. assign V287110 = V300698. assign V359792 = V172529 - 1. assign V024495 = V947152. assign V615785 = V175824. assign V718068 = V613375. assign V809280 = V326945 - 1. assign V492702 = V672916 - 1. assign V826832 = V947152 - 1. assign V845585 = V621921. assign V566308 = V953401 + 1. assign V280880 = V129365 - 1. assign V172529 = V175824. assign V677374 = V672916. assign V705947 = V072789. assign V095650 = V580960 - 1. assign V963141 = V621921. assign V778693 = V739568 - 1. assign V590482 = V439394. assign V911503 = V917617 - 1. assign V953401 = V580960 - 1. assign V685201 = V861204 + 1. assign V917926 = V317461 + 1. assign V849665 = V869186 - 1. assign V129365 = V917617. assign V087443 = V963141 + 1. assign V155607 = V100960. assign V119358 = V100960. assign V572771 = V849665 - 1. assign V416034 = V089661 - 1. assign V157610 = V410245 - 1. assign V098631 = V585303 + 1. assign V917617 = V105117 - 1. assign V317901 = V945760. assign V965892 = V684037 + 1. assign V512295 = V942126. assign V449920 = V175824 + 1. assign V713701 = V621921 - 1. assign V317461 = V302174. assign V532128 = V331130 - 1. assign V759393 = V095650. assign V469241 = V439394 - 1. assign V389828 = V319736 - 1. assign V078691 = V020023 - 1. assign V916345 = V066522. assign V036795 = V136210. assign V105117 = V322329 - 1. assign V883787 = V642574 - 1. assign V387548 = V359792 - 1. assign V322329 = V613375 + 1. assign V410245 = V672916. assign V506166 = V322329. assign V841483 = V684037. assign V585303 = V791119. assign V231047 = V713701 - 1. assign V136210 = V287110 + 1. assign V890811 = V410245 - 1. assign V794150 = V739568 - 1. assign V175824 = V613375. assign V953344 = V206272 + 1. assign V945760 = V136210 - 1. assign V056839 = V580960. assign V548529 = V387548 - 1. assign V621921 = V861204. assign V778593 = V066522 + 1. assign V859584 = V287110. assign V715579 = V642574 + 1. assign V328302 = V826832 + 1. assign V949423 = V210232. assign V885107 = V416034 + 1. assign V485607 = V972305 - 1. assign V721617 = V072789. assign V875158 = V672916 + 1. assign V991708 = V297399.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV100457 = 4;\n\nFrom these direct assignment(s), we have: \nV390086 = V100457 + 1 = 4 + 1 =5;\nNo other variables can be derived from V390086;\nNo other variables can be derived from V100457;\n\nNow we have done all the calculations. Derived variables are:\nV100457 = 4;\nV390086 = 5;\n\nNow we have finished this problem. ANSWER:\nV390086\n", "role": "assistant" } ]

[ "V279737" ]

[ { "content": "<context>\nassign V776557 = V600477 - 1. assign V704516 = V819858. assign V185457 = V819858 - 1. assign V721947 = V720477 + 1. assign V511297 = V919799 + 1. assign V626401 = V562742. assign V919799 = V562742. assign V826718 = V723140 - 1. assign V462518 = V919229 - 1. assign V236189 = V797258. assign V082315 = V504144 - 1. assign V841682 = V138201 + 1. assign V959959 = V882997 + 1. assign V459875 = V797258 - 1. assign V163122 = V541791. assign V384302 = V668654 + 1. assign V078784 = V154072. assign V955961 = V738340 + 1. assign V562742 = V738340. assign V789692 = V787646. assign V692149 = V723140. assign V062254 = V124193 + 1. assign V886529 = V713629 - 1. assign V704028 = V384302 + 1. assign V813167 = V203130 - 1. assign V006051 = V117409 - 1. assign V203130 = V617671 + 1. assign V653672 = V130824 - 1. assign V795841 = V419692 - 1. assign V420487 = V668654 + 1. assign V739626 = V106225. assign V771548 = V901435 + 1. assign V694452 = V188896 + 1. assign V886891 = V188896 + 1. assign V919229 = V562742 - 1. assign V053300 = V704516. assign V184219 = V449755 + 1. assign V766327 = V541791. assign V570391 = V017384. assign V136899 = V267423 + 1. assign V009625 = V787646. assign V924513 = V882997 + 1. assign V346254 = V636548 + 1. assign V409592 = V674335 + 1. assign V842536 = V562742. assign V617671 = V668654 + 1. assign V193245 = V958829. assign V188139 = V899542 - 1. assign V272590 = V203130. assign V901435 = V721947. assign V703833 = V103711. assign V170686 = V723140 - 1. assign V677572 = V103711 - 1. assign V668654 = V919799. assign V368125 = V955961 - 1. assign V600477 = V009625 + 1. assign V150898 = V694452 + 1. assign V541791 = V990421 + 1. assign V328401 = V901435 + 1. assign V939931 = V449755. assign V928939 = V713629 + 1. assign V421458 = V990421 - 1. assign V368306 = V504144. assign V402046 = V082315 - 1. assign V673465 = V138201. assign V318301 = V278490. assign V390524 = V375300 + 1. assign V533166 = V419692 - 1. assign V526341 = V565795. assign V222643 = V723140 - 1. assign V636548 = V409592. assign V529017 = V137460 + 1. assign V279737 = V351931 - 1. assign V795123 = V955961 + 1. assign V213919 = V103711. assign V188896 = V504144 - 1. assign V267423 = V485246. assign V618249 = V759560 - 1. assign V729041 = V523159. assign V209847 = V213919 - 1. assign V032099 = V694452 - 1. assign V221352 = V009625 + 1. assign V819858 = V188896 + 1. assign V958829 = V646790 + 1. assign V106225 = V720477 - 1. assign V447492 = V738340 + 1. assign V646790 = V244536 - 1. assign V480506 = V739626. assign V536612 = V738340 - 1. assign V212085 = V472054. assign V138201 = V787646 + 1. assign V433476 = V773880 + 1. assign V017384 = V150898 + 1. assign V990847 = V288708. assign V168828 = V061256 - 1. assign V013690 = V032099. assign V526925 = V082315 + 1. assign V154416 = V562742 - 1. assign V137460 = V375300 + 1. assign V589429 = V721947. assign V759560 = V402046 + 1. assign V985288 = V485246. assign V260718 = V221352 + 1. assign V994419 = V776557 - 1. assign V336170 = V185457. assign V622024 = V449755. assign V009499 = V117409 - 1. assign V674335 = V723140 + 1. assign V787646 = V243202 + 1. assign V449755 = V402046 + 1. assign V244536 = V402046 + 1. assign V067354 = V019854 - 1. assign V899542 = V723140. assign V117409 = V288708 + 1. assign V912859 = V664388 - 1. assign V617376 = V562742. assign V555156 = V009499. assign V296514 = V955961 + 1. assign V931492 = V923909 - 1. assign V485246 = V185457. assign V723140 = V082315. assign V845036 = V288708 + 1. assign V773880 = V959959 + 1. assign V565795 = V759560 + 1. assign V894336 = V721947. assign V273927 = V447492 - 1. assign V103711 = V526341 + 1. assign V430381 = V882997 - 1. assign V019854 = V082315. assign V504144 = V562742 - 1. assign V124193 = V704024. assign V288708 = V447492. assign V130824 = V117409 + 1. assign V882997 = V845036. assign V472054 = V154416 + 1. assign V656831 = V562742. assign V900502 = V919799 - 1. assign V262484 = V447492. assign V126210 = V278490. assign V523159 = V713629 - 1. assign V351931 = 0. assign V717211 = V193245 - 1. assign V928674 = V919229 - 1. assign V278490 = V447492. assign V994374 = V103711 + 1. assign V790245 = V886891 + 1. assign V460793 = V375300 - 1. assign V442675 = V420487. assign V975620 = V288708. assign V797258 = V368306 + 1. assign V753161 = V273927 + 1. assign V080403 = V720477 + 1. assign V375300 = V919799 + 1. assign V704024 = V720477. assign V154072 = V009499 - 1. assign V990421 = V694452. assign V419692 = V759560 + 1. assign V011321 = V328401 - 1. assign V432465 = V928674 - 1. assign V713629 = V447492 + 1. assign V768412 = V188896 + 1. assign V458340 = V137460 + 1. assign V664388 = V797258 + 1. assign V581455 = V565795 - 1. assign V243202 = V019854 + 1. assign V098076 = V694452 + 1. assign V844292 = V019854. assign V302660 = V958829. assign V061256 = V565795 - 1. assign V720477 = V402046. assign V923909 = V137460 + 1. assign V844487 = V562742.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V776557 = V600477 - 1. assign V704516 = V819858. assign V185457 = V819858 - 1. assign V721947 = V720477 + 1. assign V511297 = V919799 + 1. assign V626401 = V562742. assign V919799 = V562742. assign V826718 = V723140 - 1. assign V462518 = V919229 - 1. assign V236189 = V797258. assign V082315 = V504144 - 1. assign V841682 = V138201 + 1. assign V959959 = V882997 + 1. assign V459875 = V797258 - 1. assign V163122 = V541791. assign V384302 = V668654 + 1. assign V078784 = V154072. assign V955961 = V738340 + 1. assign V562742 = V738340. assign V789692 = V787646. assign V692149 = V723140. assign V062254 = V124193 + 1. assign V886529 = V713629 - 1. assign V704028 = V384302 + 1. assign V813167 = V203130 - 1. assign V006051 = V117409 - 1. assign V203130 = V617671 + 1. assign V653672 = V130824 - 1. assign V795841 = V419692 - 1. assign V420487 = V668654 + 1. assign V739626 = V106225. assign V771548 = V901435 + 1. assign V694452 = V188896 + 1. assign V886891 = V188896 + 1. assign V919229 = V562742 - 1. assign V053300 = V704516. assign V184219 = V449755 + 1. assign V766327 = V541791. assign V570391 = V017384. assign V136899 = V267423 + 1. assign V009625 = V787646. assign V924513 = V882997 + 1. assign V346254 = V636548 + 1. assign V409592 = V674335 + 1. assign V842536 = V562742. assign V617671 = V668654 + 1. assign V193245 = V958829. assign V188139 = V899542 - 1. assign V272590 = V203130. assign V901435 = V721947. assign V703833 = V103711. assign V170686 = V723140 - 1. assign V677572 = V103711 - 1. assign V668654 = V919799. assign V368125 = V955961 - 1. assign V600477 = V009625 + 1. assign V150898 = V694452 + 1. assign V541791 = V990421 + 1. assign V328401 = V901435 + 1. assign V939931 = V449755. assign V928939 = V713629 + 1. assign V421458 = V990421 - 1. assign V368306 = V504144. assign V402046 = V082315 - 1. assign V673465 = V138201. assign V318301 = V278490. assign V390524 = V375300 + 1. assign V533166 = V419692 - 1. assign V526341 = V565795. assign V222643 = V723140 - 1. assign V636548 = V409592. assign V529017 = V137460 + 1. assign V279737 = V351931 - 1. assign V795123 = V955961 + 1. assign V213919 = V103711. assign V188896 = V504144 - 1. assign V267423 = V485246. assign V618249 = V759560 - 1. assign V729041 = V523159. assign V209847 = V213919 - 1. assign V032099 = V694452 - 1. assign V221352 = V009625 + 1. assign V819858 = V188896 + 1. assign V958829 = V646790 + 1. assign V106225 = V720477 - 1. assign V447492 = V738340 + 1. assign V646790 = V244536 - 1. assign V480506 = V739626. assign V536612 = V738340 - 1. assign V212085 = V472054. assign V138201 = V787646 + 1. assign V433476 = V773880 + 1. assign V017384 = V150898 + 1. assign V990847 = V288708. assign V168828 = V061256 - 1. assign V013690 = V032099. assign V526925 = V082315 + 1. assign V154416 = V562742 - 1. assign V137460 = V375300 + 1. assign V589429 = V721947. assign V759560 = V402046 + 1. assign V985288 = V485246. assign V260718 = V221352 + 1. assign V994419 = V776557 - 1. assign V336170 = V185457. assign V622024 = V449755. assign V009499 = V117409 - 1. assign V674335 = V723140 + 1. assign V787646 = V243202 + 1. assign V449755 = V402046 + 1. assign V244536 = V402046 + 1. assign V067354 = V019854 - 1. assign V899542 = V723140. assign V117409 = V288708 + 1. assign V912859 = V664388 - 1. assign V617376 = V562742. assign V555156 = V009499. assign V296514 = V955961 + 1. assign V931492 = V923909 - 1. assign V485246 = V185457. assign V723140 = V082315. assign V845036 = V288708 + 1. assign V773880 = V959959 + 1. assign V565795 = V759560 + 1. assign V894336 = V721947. assign V273927 = V447492 - 1. assign V103711 = V526341 + 1. assign V430381 = V882997 - 1. assign V019854 = V082315. assign V504144 = V562742 - 1. assign V124193 = V704024. assign V288708 = V447492. assign V130824 = V117409 + 1. assign V882997 = V845036. assign V472054 = V154416 + 1. assign V656831 = V562742. assign V900502 = V919799 - 1. assign V262484 = V447492. assign V126210 = V278490. assign V523159 = V713629 - 1. assign V351931 = 0. assign V717211 = V193245 - 1. assign V928674 = V919229 - 1. assign V278490 = V447492. assign V994374 = V103711 + 1. assign V790245 = V886891 + 1. assign V460793 = V375300 - 1. assign V442675 = V420487. assign V975620 = V288708. assign V797258 = V368306 + 1. assign V753161 = V273927 + 1. assign V080403 = V720477 + 1. assign V375300 = V919799 + 1. assign V704024 = V720477. assign V154072 = V009499 - 1. assign V990421 = V694452. assign V419692 = V759560 + 1. assign V011321 = V328401 - 1. assign V432465 = V928674 - 1. assign V713629 = V447492 + 1. assign V768412 = V188896 + 1. assign V458340 = V137460 + 1. assign V664388 = V797258 + 1. assign V581455 = V565795 - 1. assign V243202 = V019854 + 1. assign V098076 = V694452 + 1. assign V844292 = V019854. assign V302660 = V958829. assign V061256 = V565795 - 1. assign V720477 = V402046. assign V923909 = V137460 + 1. assign V844487 = V562742.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV351931 = 0;\n\nFrom these direct assignment(s), we have: \nV279737 = V351931 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V279737;\nNo other variables can be derived from V351931;\n\nNow we have done all the calculations. Derived variables are:\nV351931 = 0;\nV279737 = -1;\n\nNow we have finished this problem. ANSWER:\nV279737\n", "role": "assistant" } ]

[ "V200466" ]

[ { "content": "<context>\nassign V912501 = V463319 - 1. assign V809890 = V174485. assign V495406 = V858897 - 1. assign V398896 = V252893 - 1. assign V974382 = V912501 + 1. assign V134121 = V974382 - 1. assign V337629 = V602658. assign V353396 = V093255 + 1. assign V957089 = V296450 + 1. assign V059959 = V157529 + 1. assign V208652 = V389285 - 1. assign V357770 = V400377 + 1. assign V891906 = V557997 + 1. assign V858897 = V296450. assign V527500 = V156615 - 1. assign V246469 = V900789. assign V231213 = V495406 - 1. assign V189278 = V912501. assign V877728 = V858897. assign V489266 = V128358. assign V034076 = V877728 + 1. assign V755156 = V245022 - 1. assign V168384 = V900789 + 1. assign V808057 = V463319 - 1. assign V688972 = V959718 + 1. assign V453836 = V058620 + 1. assign V273268 = V936655. assign V953654 = V602658 + 1. assign V190148 = V508414 + 1. assign V750252 = V277837. assign V245022 = V058620 - 1. assign V765508 = V825945. assign V198293 = V400377 + 1. assign V260582 = V707234 + 1. assign V723618 = V903195 + 1. assign V463319 = V400377. assign V055119 = V062152 - 1. assign V028531 = V647950 - 1. assign V611471 = V268829 + 1. assign V792315 = V957089 - 1. assign V858915 = V128358 - 1. assign V449789 = V047901 - 1. assign V657801 = V400377 + 1. assign V346607 = V765508 + 1. assign V647950 = V062152. assign V393937 = V776577 - 1. assign V389011 = V041290 - 1. assign V175579 = V936655 - 1. assign V095273 = V008308 + 1. assign V557765 = V372176 + 1. assign V756137 = V753530 - 1. assign V616055 = V034076 - 1. assign V508414 = V527500. assign V790178 = V957089 - 1. assign V797550 = V792315. assign V957539 = V717024 - 1. assign V358744 = V985692 - 1. assign V595139 = 2. assign V990480 = V372176 + 1. assign V903195 = V792315 + 1. assign V200805 = V788581 + 1. assign V203817 = V380469. assign V277837 = V444934 + 1. assign V355762 = V357770 + 1. assign V565812 = V058620 + 1. assign V027857 = V396687 + 1. assign V256379 = V252893. assign V815986 = V717024 + 1. assign V830525 = V763078. assign V297111 = V508414 - 1. assign V619826 = V041290 - 1. assign V182227 = V975064 + 1. assign V093255 = V936655. assign V118765 = V195963 - 1. assign V195355 = V189278. assign V508849 = V891906 - 1. assign V521049 = V357770. assign V959718 = V481914 + 1. assign V686529 = V273268 - 1. assign V596527 = V260582 - 1. assign V707234 = V797550 - 1. assign V374252 = V206203 + 1. assign V354982 = V245022 + 1. assign V301404 = V268829 - 1. assign V389285 = V521049. assign V352512 = V508414 - 1. assign V062682 = V355762 + 1. assign V488544 = V118765 - 1. assign V928540 = V156615 + 1. assign V444934 = V707234 + 1. assign V300285 = V396687 + 1. assign V964217 = V903195. assign V825945 = V353396. assign V337284 = V246469 - 1. assign V206203 = V928540. assign V450152 = V891906. assign V602658 = V717024 - 1. assign V659490 = V450152 + 1. assign V027920 = V353396. assign V058620 = V877728. assign V200466 = V595139 + 1. assign V991186 = V444934 - 1. assign V776577 = V400377. assign V655701 = V271347. assign V721409 = V452946 + 1. assign V341071 = V157529 - 1. assign V252893 = V463319 - 1. assign V047637 = V353396 + 1. assign V157529 = V481914 + 1. assign V985692 = V565352 - 1. assign V647758 = V495406. assign V481914 = V007247. assign V758856 = V160049 - 1. assign V763078 = V277837 + 1. assign V763930 = V825945 + 1. assign V753530 = V093255. assign V380469 = V647950 - 1. assign V935972 = V957089 + 1. assign V142004 = V271347 - 1. assign V902637 = V521049 + 1. assign V565352 = V093255 - 1. assign V788581 = V353396 + 1. assign V686821 = V353396 - 1. assign V369771 = V693575 - 1. assign V975064 = V936655 - 1. assign V943964 = V296450 - 1. assign V592784 = V357770 + 1. assign V195963 = V912501. assign V942905 = V353396. assign V521570 = V296450 - 1. assign V007247 = V975064 - 1. assign V047901 = V380469. assign V693575 = V936655 + 1. assign V760004 = V825945. assign V098552 = V508414 + 1. assign V557997 = V156615. assign V383142 = V297111. assign V900789 = V389285 + 1. assign V040429 = V195963 - 1. assign V945646 = V369771. assign V505728 = V034076 - 1. assign V471449 = V936655 - 1. assign V268829 = V521049 + 1. assign V400377 = V093255 + 1. assign V296450 = V273268 - 1. assign V219959 = V655701. assign V778088 = V686821 + 1. assign V768438 = V975064. assign V057349 = V928540 - 1. assign V156615 = V565352 + 1. assign V274441 = V337284 - 1. assign V128358 = V974382. assign V702119 = V723618 - 1. assign V062152 = V912501 - 1. assign V256410 = V296450. assign V174485 = V721409 + 1. assign V682008 = V902637 - 1. assign V717024 = V296450 - 1. assign V779216 = V788581. assign V224159 = V505728 + 1. assign V051254 = V271347. assign V372176 = V985692 - 1. assign V271347 = V521049 - 1. assign V250175 = V093255 + 1. assign V041290 = V975064 + 1. assign V278472 = V059959 + 1. assign V008308 = V985692 - 1. assign V396687 = V450152 + 1. assign V668956 = V353396 + 1. assign V217283 = V301404. assign V452946 = V975064 - 1. assign V160049 = V565352.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V912501 = V463319 - 1. assign V809890 = V174485. assign V495406 = V858897 - 1. assign V398896 = V252893 - 1. assign V974382 = V912501 + 1. assign V134121 = V974382 - 1. assign V337629 = V602658. assign V353396 = V093255 + 1. assign V957089 = V296450 + 1. assign V059959 = V157529 + 1. assign V208652 = V389285 - 1. assign V357770 = V400377 + 1. assign V891906 = V557997 + 1. assign V858897 = V296450. assign V527500 = V156615 - 1. assign V246469 = V900789. assign V231213 = V495406 - 1. assign V189278 = V912501. assign V877728 = V858897. assign V489266 = V128358. assign V034076 = V877728 + 1. assign V755156 = V245022 - 1. assign V168384 = V900789 + 1. assign V808057 = V463319 - 1. assign V688972 = V959718 + 1. assign V453836 = V058620 + 1. assign V273268 = V936655. assign V953654 = V602658 + 1. assign V190148 = V508414 + 1. assign V750252 = V277837. assign V245022 = V058620 - 1. assign V765508 = V825945. assign V198293 = V400377 + 1. assign V260582 = V707234 + 1. assign V723618 = V903195 + 1. assign V463319 = V400377. assign V055119 = V062152 - 1. assign V028531 = V647950 - 1. assign V611471 = V268829 + 1. assign V792315 = V957089 - 1. assign V858915 = V128358 - 1. assign V449789 = V047901 - 1. assign V657801 = V400377 + 1. assign V346607 = V765508 + 1. assign V647950 = V062152. assign V393937 = V776577 - 1. assign V389011 = V041290 - 1. assign V175579 = V936655 - 1. assign V095273 = V008308 + 1. assign V557765 = V372176 + 1. assign V756137 = V753530 - 1. assign V616055 = V034076 - 1. assign V508414 = V527500. assign V790178 = V957089 - 1. assign V797550 = V792315. assign V957539 = V717024 - 1. assign V358744 = V985692 - 1. assign V595139 = 2. assign V990480 = V372176 + 1. assign V903195 = V792315 + 1. assign V200805 = V788581 + 1. assign V203817 = V380469. assign V277837 = V444934 + 1. assign V355762 = V357770 + 1. assign V565812 = V058620 + 1. assign V027857 = V396687 + 1. assign V256379 = V252893. assign V815986 = V717024 + 1. assign V830525 = V763078. assign V297111 = V508414 - 1. assign V619826 = V041290 - 1. assign V182227 = V975064 + 1. assign V093255 = V936655. assign V118765 = V195963 - 1. assign V195355 = V189278. assign V508849 = V891906 - 1. assign V521049 = V357770. assign V959718 = V481914 + 1. assign V686529 = V273268 - 1. assign V596527 = V260582 - 1. assign V707234 = V797550 - 1. assign V374252 = V206203 + 1. assign V354982 = V245022 + 1. assign V301404 = V268829 - 1. assign V389285 = V521049. assign V352512 = V508414 - 1. assign V062682 = V355762 + 1. assign V488544 = V118765 - 1. assign V928540 = V156615 + 1. assign V444934 = V707234 + 1. assign V300285 = V396687 + 1. assign V964217 = V903195. assign V825945 = V353396. assign V337284 = V246469 - 1. assign V206203 = V928540. assign V450152 = V891906. assign V602658 = V717024 - 1. assign V659490 = V450152 + 1. assign V027920 = V353396. assign V058620 = V877728. assign V200466 = V595139 + 1. assign V991186 = V444934 - 1. assign V776577 = V400377. assign V655701 = V271347. assign V721409 = V452946 + 1. assign V341071 = V157529 - 1. assign V252893 = V463319 - 1. assign V047637 = V353396 + 1. assign V157529 = V481914 + 1. assign V985692 = V565352 - 1. assign V647758 = V495406. assign V481914 = V007247. assign V758856 = V160049 - 1. assign V763078 = V277837 + 1. assign V763930 = V825945 + 1. assign V753530 = V093255. assign V380469 = V647950 - 1. assign V935972 = V957089 + 1. assign V142004 = V271347 - 1. assign V902637 = V521049 + 1. assign V565352 = V093255 - 1. assign V788581 = V353396 + 1. assign V686821 = V353396 - 1. assign V369771 = V693575 - 1. assign V975064 = V936655 - 1. assign V943964 = V296450 - 1. assign V592784 = V357770 + 1. assign V195963 = V912501. assign V942905 = V353396. assign V521570 = V296450 - 1. assign V007247 = V975064 - 1. assign V047901 = V380469. assign V693575 = V936655 + 1. assign V760004 = V825945. assign V098552 = V508414 + 1. assign V557997 = V156615. assign V383142 = V297111. assign V900789 = V389285 + 1. assign V040429 = V195963 - 1. assign V945646 = V369771. assign V505728 = V034076 - 1. assign V471449 = V936655 - 1. assign V268829 = V521049 + 1. assign V400377 = V093255 + 1. assign V296450 = V273268 - 1. assign V219959 = V655701. assign V778088 = V686821 + 1. assign V768438 = V975064. assign V057349 = V928540 - 1. assign V156615 = V565352 + 1. assign V274441 = V337284 - 1. assign V128358 = V974382. assign V702119 = V723618 - 1. assign V062152 = V912501 - 1. assign V256410 = V296450. assign V174485 = V721409 + 1. assign V682008 = V902637 - 1. assign V717024 = V296450 - 1. assign V779216 = V788581. assign V224159 = V505728 + 1. assign V051254 = V271347. assign V372176 = V985692 - 1. assign V271347 = V521049 - 1. assign V250175 = V093255 + 1. assign V041290 = V975064 + 1. assign V278472 = V059959 + 1. assign V008308 = V985692 - 1. assign V396687 = V450152 + 1. assign V668956 = V353396 + 1. assign V217283 = V301404. assign V452946 = V975064 - 1. assign V160049 = V565352.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV595139 = 2;\n\nFrom these direct assignment(s), we have: \nV200466 = V595139 + 1 = 2 + 1 =3;\nNo other variables can be derived from V200466;\nNo other variables can be derived from V595139;\n\nNow we have done all the calculations. Derived variables are:\nV595139 = 2;\nV200466 = 3;\n\nNow we have finished this problem. ANSWER:\nV200466\n", "role": "assistant" } ]

[ "V261829" ]

[ { "content": "<context>\nassign V052628 = V427554 + 1. assign V439290 = V170366. assign V426957 = V161955 - 1. assign V144352 = V780876. assign V792199 = V295957 - 1. assign V295957 = V283717 + 1. assign V943719 = V327797 + 1. assign V699498 = V863689 - 1. assign V773904 = V780876 - 1. assign V463698 = V678406. assign V947395 = V645386 - 1. assign V081092 = V916474. assign V025301 = V506091 + 1. assign V683667 = V327797 - 1. assign V231071 = V947395 + 1. assign V591544 = V094367 - 1. assign V289025 = V283717 + 1. assign V735822 = V064459. assign V630680 = V732431 + 1. assign V634651 = V749928 + 1. assign V750067 = V161955. assign V532025 = V283717. assign V582442 = V327797 + 1. assign V183286 = V942053 - 1. assign V279297 = V309558 + 1. assign V012437 = V715561 + 1. assign V188838 = V373184 + 1. assign V418012 = V322493. assign V075847 = V294687 + 1. assign V972981 = V532025 - 1. assign V496386 = V610385 + 1. assign V632826 = V750067 + 1. assign V594781 = V947395 + 1. assign V206954 = V780876 - 1. assign V047213 = V206954. assign V034710 = V686479 + 1. assign V727697 = V151470 - 1. assign V354374 = V367330 + 1. assign V094367 = V582442 - 1. assign V064459 = V427554 - 1. assign V298025 = V479442 - 1. assign V849289 = V950162. assign V968471 = V878356 + 1. assign V081507 = V686479 - 1. assign V004803 = V627885. assign V032373 = V678253 - 1. assign V513376 = V354374. assign V916474 = V554866. assign V100587 = V348294 - 1. assign V223046 = V512741. assign V161955 = V554866. assign V854723 = V034710 + 1. assign V836621 = V034710 - 1. assign V384866 = V479442 - 1. assign V982789 = V942053 - 1. assign V115599 = V279297 + 1. assign V188041 = V835743 + 1. assign V587737 = V610385 + 1. assign V504293 = V780876 + 1. assign V671356 = V261829 - 1. assign V067492 = V957852 - 1. assign V687324 = V327797 - 1. assign V645386 = V554866. assign V441710 = V340993 - 1. assign V071533 = V222037 - 1. assign V602540 = V801184 - 1. assign V384493 = V610385. assign V446882 = V634651. assign V238016 = V029504 - 1. assign V957852 = V532025. assign V468631 = V727697. assign V053946 = V582442. assign V917710 = V064459. assign V037775 = V749928 + 1. assign V756798 = V000054 - 1. assign V383628 = V320679 - 1. assign V668737 = V322493 - 1. assign V400389 = V206954. assign V418785 = V630680. assign V512741 = V532025 - 1. assign V222037 = V780876 + 1. assign V507291 = V294687 - 1. assign V348294 = V984866 + 1. assign V567053 = V395630 + 1. assign V475217 = V854723. assign V942053 = V792199 - 1. assign V068888 = V835743. assign V309558 = V065885 - 1. assign V079281 = V065885 + 1. assign V404272 = V947395. assign V938603 = V032373 - 1. assign V294687 = V309558 + 1. assign V000054 = V188041. assign V863689 = V780876 - 1. assign V554866 = V749928. assign V994676 = V427554. assign V151470 = V327797 - 1. assign V705155 = V029504 + 1. assign V837246 = V321238. assign V580704 = V298025. assign V679780 = V699498. assign V135035 = V801184. assign V383588 = V032373 + 1. assign V033466 = V302714. assign V170366 = V367330 + 1. assign V829493 = V982789 + 1. assign V367330 = V554866 + 1. assign V627885 = V327797 - 1. assign V686479 = V144352 - 1. assign V604696 = V222037 + 1. assign V393061 = V438990 + 1. assign V652598 = V358029. assign V506091 = V427554 + 1. assign V636310 = V400389. assign V835743 = V283717. assign V964754 = V033466. assign V471220 = V468960 + 1. assign V395630 = V079281 - 1. assign V294264 = V678406. assign V029504 = V727697 + 1. assign V375600 = V700025. assign V340993 = V468631 - 1. assign V178974 = V308568. assign V678406 = V427554 + 1. assign V780876 = V749928 + 1. assign V427554 = V749928 - 1. assign V869597 = V025301. assign V327797 = V427554 + 1. assign V859715 = V604696 + 1. assign V984866 = V972981. assign V706375 = V604696. assign V762944 = V320679 + 1. assign V479442 = V064459. assign V178728 = V604696. assign V217949 = V294264 - 1. assign V762191 = V916474 - 1. assign V358029 = V064459. assign V302714 = V837246 - 1. assign V373184 = V298025 - 1. assign V468960 = V144352 + 1. assign V732431 = V735822 - 1. assign V540432 = V000054 + 1. assign V198307 = V627885. assign V808184 = V151470 - 1. assign V934144 = V532025. assign V668294 = V867517 + 1. assign V438990 = V916474 - 1. assign V283717 = V678406. assign V618340 = V427554 + 1. assign V700025 = V678406 - 1. assign V867517 = V144352. assign V378416 = V507291 - 1. assign V752492 = V025301 + 1. assign V220468 = V320679 + 1. assign V321238 = V322493 + 1. assign V610385 = V749928 + 1. assign V065885 = V686479 - 1. assign V801184 = V792199 + 1. assign V715561 = V957617. assign V957617 = V479442. assign V261829 = 4. assign V878356 = V982789. assign V308568 = V320679 - 1. assign V678253 = V950162. assign V655366 = V762191 + 1. assign V337040 = V540432. assign V322493 = V780876 + 1. assign V746183 = V025301 + 1. assign V645154 = V506091 - 1. assign V950162 = V957617 + 1. assign V320679 = V863689 - 1. assign V442320 = V438990.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V052628 = V427554 + 1. assign V439290 = V170366. assign V426957 = V161955 - 1. assign V144352 = V780876. assign V792199 = V295957 - 1. assign V295957 = V283717 + 1. assign V943719 = V327797 + 1. assign V699498 = V863689 - 1. assign V773904 = V780876 - 1. assign V463698 = V678406. assign V947395 = V645386 - 1. assign V081092 = V916474. assign V025301 = V506091 + 1. assign V683667 = V327797 - 1. assign V231071 = V947395 + 1. assign V591544 = V094367 - 1. assign V289025 = V283717 + 1. assign V735822 = V064459. assign V630680 = V732431 + 1. assign V634651 = V749928 + 1. assign V750067 = V161955. assign V532025 = V283717. assign V582442 = V327797 + 1. assign V183286 = V942053 - 1. assign V279297 = V309558 + 1. assign V012437 = V715561 + 1. assign V188838 = V373184 + 1. assign V418012 = V322493. assign V075847 = V294687 + 1. assign V972981 = V532025 - 1. assign V496386 = V610385 + 1. assign V632826 = V750067 + 1. assign V594781 = V947395 + 1. assign V206954 = V780876 - 1. assign V047213 = V206954. assign V034710 = V686479 + 1. assign V727697 = V151470 - 1. assign V354374 = V367330 + 1. assign V094367 = V582442 - 1. assign V064459 = V427554 - 1. assign V298025 = V479442 - 1. assign V849289 = V950162. assign V968471 = V878356 + 1. assign V081507 = V686479 - 1. assign V004803 = V627885. assign V032373 = V678253 - 1. assign V513376 = V354374. assign V916474 = V554866. assign V100587 = V348294 - 1. assign V223046 = V512741. assign V161955 = V554866. assign V854723 = V034710 + 1. assign V836621 = V034710 - 1. assign V384866 = V479442 - 1. assign V982789 = V942053 - 1. assign V115599 = V279297 + 1. assign V188041 = V835743 + 1. assign V587737 = V610385 + 1. assign V504293 = V780876 + 1. assign V671356 = V261829 - 1. assign V067492 = V957852 - 1. assign V687324 = V327797 - 1. assign V645386 = V554866. assign V441710 = V340993 - 1. assign V071533 = V222037 - 1. assign V602540 = V801184 - 1. assign V384493 = V610385. assign V446882 = V634651. assign V238016 = V029504 - 1. assign V957852 = V532025. assign V468631 = V727697. assign V053946 = V582442. assign V917710 = V064459. assign V037775 = V749928 + 1. assign V756798 = V000054 - 1. assign V383628 = V320679 - 1. assign V668737 = V322493 - 1. assign V400389 = V206954. assign V418785 = V630680. assign V512741 = V532025 - 1. assign V222037 = V780876 + 1. assign V507291 = V294687 - 1. assign V348294 = V984866 + 1. assign V567053 = V395630 + 1. assign V475217 = V854723. assign V942053 = V792199 - 1. assign V068888 = V835743. assign V309558 = V065885 - 1. assign V079281 = V065885 + 1. assign V404272 = V947395. assign V938603 = V032373 - 1. assign V294687 = V309558 + 1. assign V000054 = V188041. assign V863689 = V780876 - 1. assign V554866 = V749928. assign V994676 = V427554. assign V151470 = V327797 - 1. assign V705155 = V029504 + 1. assign V837246 = V321238. assign V580704 = V298025. assign V679780 = V699498. assign V135035 = V801184. assign V383588 = V032373 + 1. assign V033466 = V302714. assign V170366 = V367330 + 1. assign V829493 = V982789 + 1. assign V367330 = V554866 + 1. assign V627885 = V327797 - 1. assign V686479 = V144352 - 1. assign V604696 = V222037 + 1. assign V393061 = V438990 + 1. assign V652598 = V358029. assign V506091 = V427554 + 1. assign V636310 = V400389. assign V835743 = V283717. assign V964754 = V033466. assign V471220 = V468960 + 1. assign V395630 = V079281 - 1. assign V294264 = V678406. assign V029504 = V727697 + 1. assign V375600 = V700025. assign V340993 = V468631 - 1. assign V178974 = V308568. assign V678406 = V427554 + 1. assign V780876 = V749928 + 1. assign V427554 = V749928 - 1. assign V869597 = V025301. assign V327797 = V427554 + 1. assign V859715 = V604696 + 1. assign V984866 = V972981. assign V706375 = V604696. assign V762944 = V320679 + 1. assign V479442 = V064459. assign V178728 = V604696. assign V217949 = V294264 - 1. assign V762191 = V916474 - 1. assign V358029 = V064459. assign V302714 = V837246 - 1. assign V373184 = V298025 - 1. assign V468960 = V144352 + 1. assign V732431 = V735822 - 1. assign V540432 = V000054 + 1. assign V198307 = V627885. assign V808184 = V151470 - 1. assign V934144 = V532025. assign V668294 = V867517 + 1. assign V438990 = V916474 - 1. assign V283717 = V678406. assign V618340 = V427554 + 1. assign V700025 = V678406 - 1. assign V867517 = V144352. assign V378416 = V507291 - 1. assign V752492 = V025301 + 1. assign V220468 = V320679 + 1. assign V321238 = V322493 + 1. assign V610385 = V749928 + 1. assign V065885 = V686479 - 1. assign V801184 = V792199 + 1. assign V715561 = V957617. assign V957617 = V479442. assign V261829 = 4. assign V878356 = V982789. assign V308568 = V320679 - 1. assign V678253 = V950162. assign V655366 = V762191 + 1. assign V337040 = V540432. assign V322493 = V780876 + 1. assign V746183 = V025301 + 1. assign V645154 = V506091 - 1. assign V950162 = V957617 + 1. assign V320679 = V863689 - 1. assign V442320 = V438990.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV261829 = 4;\n\nFrom these direct assignment(s), we have: \nV671356 = V261829 - 1 = 4 - 1 =3;\nNo other variables can be derived from V671356;\nNo other variables can be derived from V261829;\n\nNow we have done all the calculations. Derived variables are:\nV261829 = 4;\nV671356 = 3;\n\nNow we have finished this problem. ANSWER:\nV261829\n", "role": "assistant" } ]

[ "V620292" ]

[ { "content": "<context>\nassign V422400 = V516887. assign V106280 = V013757 - 1. assign V305393 = V032819. assign V990068 = V626995 + 1. assign V452896 = V394865 - 1. assign V021066 = V149879 - 1. assign V793519 = V711609 + 1. assign V291186 = V437263 + 1. assign V588726 = V400511 - 1. assign V626420 = V432892 + 1. assign V015898 = V455825 - 1. assign V655400 = V551418. assign V818774 = V130407. assign V163112 = V827276. assign V946939 = V396532. assign V751030 = V213243. assign V595365 = V740727. assign V030678 = V130407. assign V450072 = V422702. assign V286902 = V562856. assign V998651 = V962224. assign V296133 = V793519. assign V371655 = V400038. assign V807765 = V459856. assign V608940 = V562856 + 1. assign V740727 = V567374 - 1. assign V711609 = V807765 + 1. assign V827276 = V301694 + 1. assign V396532 = V420169 - 1. assign V455825 = V213243. assign V151573 = V651114. assign V440462 = V171975 + 1. assign V013757 = V021066 + 1. assign V091357 = V663118 - 1. assign V643894 = V396532 + 1. assign V046050 = V449795 + 1. assign V733372 = V171975. assign V017716 = V400511 - 1. assign V489148 = V296133 + 1. assign V032819 = V226553. assign V692375 = V562856 - 1. assign V182781 = V778336. assign V284172 = V626420 - 1. assign V649453 = V422702 + 1. assign V023685 = V995956 - 1. assign V746016 = V151573 + 1. assign V068368 = V818774. assign V873521 = V755162 - 1. assign V884392 = V767902. assign V973426 = V366233 + 1. assign V115345 = V516887 - 1. assign V929496 = V711609 - 1. assign V444555 = V598626 + 1. assign V875265 = V649390. assign V995956 = V649453. assign V420360 = V096031 + 1. assign V778336 = V551418. assign V394865 = V198397 - 1. assign V631340 = V364517 - 1. assign V849521 = V422702. assign V482657 = V938643 - 1. assign V935331 = V994688. assign V830668 = V284172 + 1. assign V875990 = V631340. assign V559824 = V130407 - 1. assign V789763 = V203548. assign V130407 = V364517 - 1. assign V511028 = V213243. assign V437031 = V711609 + 1. assign V626995 = V511028. assign V614883 = V117806 + 1. assign V562856 = V130407. assign V663118 = V030678. assign V973244 = V432892. assign V422702 = V631340. assign V949633 = V213243 - 1. assign V816559 = V130407 - 1. assign V994688 = V422702 - 1. assign V938643 = V317767. assign V228590 = V420169 - 1. assign V354228 = V030678 + 1. assign V090945 = V284172. assign V032220 = V239289. assign V754940 = V769483 + 1. assign V364517 = V281743 + 1. assign V361203 = V626420. assign V244687 = V469059 + 1. assign V023070 = V213243 - 1. assign V969752 = V769483 - 1. assign V570657 = V482657. assign V474397 = V432892 + 1. assign V880353 = V168671. assign V301694 = V030678 + 1. assign V671758 = V474397. assign V286901 = V614883 + 1. assign V755162 = V422702 + 1. assign V769483 = V226553 + 1. assign V108465 = V551418. assign V437263 = V511028 - 1. assign V767902 = V297330. assign V168671 = V130407. assign V147522 = V631340. assign V802738 = V108465. assign V822431 = V567374. assign V117806 = V130407 - 1. assign V984992 = V043290 + 1. assign V171975 = V003128. assign V137151 = V017716. assign V209329 = V301694 + 1. assign V851359 = V117806. assign V180638 = V562856 + 1. assign V709814 = V137151 + 1. assign V400511 = V149879. assign V969450 = 2. assign V281743 = V149879 + 1. assign V420169 = V631340 + 1. assign V846206 = V962224 - 1. assign V729372 = V818774 + 1. assign V551418 = V420169 + 1. assign V103408 = V449795. assign V459856 = V364517. assign V962224 = V729372 - 1. assign V432774 = V807765. assign V317767 = V013757 + 1. assign V542748 = V108465 - 1. assign V003128 = V935331 + 1. assign V569121 = V655400 - 1. assign V203548 = V301694 - 1. assign V567374 = V432774 + 1. assign V198397 = V017716. assign V446660 = V096031 - 1. assign V620292 = V969450 + 1. assign V043290 = V130407. assign V516887 = V711609 + 1. assign V297330 = V432892. assign V466642 = V964172. assign V096031 = V631340 - 1. assign V317345 = V432892 - 1. assign V889048 = V149879. assign V649390 = V935331 + 1. assign V449795 = V608940 + 1. assign V964172 = V807765. assign V320316 = V562856 + 1. assign V581438 = V706453 - 1. assign V742777 = V366233 - 1. assign V239289 = V711609. assign V226553 = V281743 + 1. assign V651114 = V631340 + 1. assign V938612 = V614883. assign V993391 = V455825. assign V941757 = V091357 - 1. assign V366233 = V432892 + 1. assign V084544 = V400511 + 1. assign V432892 = V432774 + 1. assign V404509 = V551418 - 1. assign V657606 = V729372. assign V362452 = V511028. assign V469059 = V043290 - 1. assign V389806 = V562856 - 1. assign V756704 = V013757 - 1. assign V227235 = V588726. assign V400038 = V751030 - 1. assign V706453 = V168671. assign V495948 = V938612 - 1. assign V679396 = V198397. assign V319137 = V709814 - 1. assign V213243 = V875990 - 1. assign V454560 = V984992 + 1. assign V612158 = V706453 + 1. assign V598626 = V281743. assign V856184 = V171975. assign V121755 = V846206 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V422400 = V516887. assign V106280 = V013757 - 1. assign V305393 = V032819. assign V990068 = V626995 + 1. assign V452896 = V394865 - 1. assign V021066 = V149879 - 1. assign V793519 = V711609 + 1. assign V291186 = V437263 + 1. assign V588726 = V400511 - 1. assign V626420 = V432892 + 1. assign V015898 = V455825 - 1. assign V655400 = V551418. assign V818774 = V130407. assign V163112 = V827276. assign V946939 = V396532. assign V751030 = V213243. assign V595365 = V740727. assign V030678 = V130407. assign V450072 = V422702. assign V286902 = V562856. assign V998651 = V962224. assign V296133 = V793519. assign V371655 = V400038. assign V807765 = V459856. assign V608940 = V562856 + 1. assign V740727 = V567374 - 1. assign V711609 = V807765 + 1. assign V827276 = V301694 + 1. assign V396532 = V420169 - 1. assign V455825 = V213243. assign V151573 = V651114. assign V440462 = V171975 + 1. assign V013757 = V021066 + 1. assign V091357 = V663118 - 1. assign V643894 = V396532 + 1. assign V046050 = V449795 + 1. assign V733372 = V171975. assign V017716 = V400511 - 1. assign V489148 = V296133 + 1. assign V032819 = V226553. assign V692375 = V562856 - 1. assign V182781 = V778336. assign V284172 = V626420 - 1. assign V649453 = V422702 + 1. assign V023685 = V995956 - 1. assign V746016 = V151573 + 1. assign V068368 = V818774. assign V873521 = V755162 - 1. assign V884392 = V767902. assign V973426 = V366233 + 1. assign V115345 = V516887 - 1. assign V929496 = V711609 - 1. assign V444555 = V598626 + 1. assign V875265 = V649390. assign V995956 = V649453. assign V420360 = V096031 + 1. assign V778336 = V551418. assign V394865 = V198397 - 1. assign V631340 = V364517 - 1. assign V849521 = V422702. assign V482657 = V938643 - 1. assign V935331 = V994688. assign V830668 = V284172 + 1. assign V875990 = V631340. assign V559824 = V130407 - 1. assign V789763 = V203548. assign V130407 = V364517 - 1. assign V511028 = V213243. assign V437031 = V711609 + 1. assign V626995 = V511028. assign V614883 = V117806 + 1. assign V562856 = V130407. assign V663118 = V030678. assign V973244 = V432892. assign V422702 = V631340. assign V949633 = V213243 - 1. assign V816559 = V130407 - 1. assign V994688 = V422702 - 1. assign V938643 = V317767. assign V228590 = V420169 - 1. assign V354228 = V030678 + 1. assign V090945 = V284172. assign V032220 = V239289. assign V754940 = V769483 + 1. assign V364517 = V281743 + 1. assign V361203 = V626420. assign V244687 = V469059 + 1. assign V023070 = V213243 - 1. assign V969752 = V769483 - 1. assign V570657 = V482657. assign V474397 = V432892 + 1. assign V880353 = V168671. assign V301694 = V030678 + 1. assign V671758 = V474397. assign V286901 = V614883 + 1. assign V755162 = V422702 + 1. assign V769483 = V226553 + 1. assign V108465 = V551418. assign V437263 = V511028 - 1. assign V767902 = V297330. assign V168671 = V130407. assign V147522 = V631340. assign V802738 = V108465. assign V822431 = V567374. assign V117806 = V130407 - 1. assign V984992 = V043290 + 1. assign V171975 = V003128. assign V137151 = V017716. assign V209329 = V301694 + 1. assign V851359 = V117806. assign V180638 = V562856 + 1. assign V709814 = V137151 + 1. assign V400511 = V149879. assign V969450 = 2. assign V281743 = V149879 + 1. assign V420169 = V631340 + 1. assign V846206 = V962224 - 1. assign V729372 = V818774 + 1. assign V551418 = V420169 + 1. assign V103408 = V449795. assign V459856 = V364517. assign V962224 = V729372 - 1. assign V432774 = V807765. assign V317767 = V013757 + 1. assign V542748 = V108465 - 1. assign V003128 = V935331 + 1. assign V569121 = V655400 - 1. assign V203548 = V301694 - 1. assign V567374 = V432774 + 1. assign V198397 = V017716. assign V446660 = V096031 - 1. assign V620292 = V969450 + 1. assign V043290 = V130407. assign V516887 = V711609 + 1. assign V297330 = V432892. assign V466642 = V964172. assign V096031 = V631340 - 1. assign V317345 = V432892 - 1. assign V889048 = V149879. assign V649390 = V935331 + 1. assign V449795 = V608940 + 1. assign V964172 = V807765. assign V320316 = V562856 + 1. assign V581438 = V706453 - 1. assign V742777 = V366233 - 1. assign V239289 = V711609. assign V226553 = V281743 + 1. assign V651114 = V631340 + 1. assign V938612 = V614883. assign V993391 = V455825. assign V941757 = V091357 - 1. assign V366233 = V432892 + 1. assign V084544 = V400511 + 1. assign V432892 = V432774 + 1. assign V404509 = V551418 - 1. assign V657606 = V729372. assign V362452 = V511028. assign V469059 = V043290 - 1. assign V389806 = V562856 - 1. assign V756704 = V013757 - 1. assign V227235 = V588726. assign V400038 = V751030 - 1. assign V706453 = V168671. assign V495948 = V938612 - 1. assign V679396 = V198397. assign V319137 = V709814 - 1. assign V213243 = V875990 - 1. assign V454560 = V984992 + 1. assign V612158 = V706453 + 1. assign V598626 = V281743. assign V856184 = V171975. assign V121755 = V846206 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV969450 = 2;\n\nFrom these direct assignment(s), we have: \nV620292 = V969450 + 1 = 2 + 1 =3;\nNo other variables can be derived from V620292;\nNo other variables can be derived from V969450;\n\nNow we have done all the calculations. Derived variables are:\nV969450 = 2;\nV620292 = 3;\n\nNow we have finished this problem. ANSWER:\nV620292\n", "role": "assistant" } ]

[ "V894239", "V906830" ]

[ { "content": "<context>\nassign V728511 = V398500. assign V341495 = V498573 - 1. assign V110737 = V277670 + 1. assign V468539 = V010765. assign V181961 = V413964. assign V603938 = V454653. assign V094878 = V464350 - 1. assign V998430 = V053430. assign V731975 = V600101 - 1. assign V349099 = V747160 + 1. assign V607918 = V444303 + 1. assign V105175 = V194073 - 1. assign V323228 = V114456. assign V468856 = V369768. assign V840426 = V728511 - 1. assign V706205 = V279054. assign V895160 = V378699 + 1. assign V136366 = V464350 - 1. assign V085871 = V282135 - 1. assign V778066 = V369768 + 1. assign V273515 = V194073 - 1. assign V495813 = V719576 + 1. assign V064623 = V931021 + 1. assign V538351 = V373361. assign V811095 = V194073 + 1. assign V651941 = V498573. assign V707874 = V094878 - 1. assign V541695 = V264037 + 1. assign V378699 = V409486. assign V284731 = V454653 + 1. assign V622402 = V590814 - 1. assign V681309 = V674104. assign V328091 = V284731 + 1. assign V010765 = V641679 + 1. assign V617533 = V398500 - 1. assign V168847 = V194073. assign V661736 = V979370. assign V924898 = V728511 - 1. assign V373184 = V043596. assign V767463 = V778066. assign V882314 = V464350. assign V472661 = V541695. assign V600101 = V064623. assign V590814 = V236943. assign V706959 = V444303 - 1. assign V163600 = V627830 - 1. assign V574191 = V152592. assign V906494 = V065654 + 1. assign V312816 = V323228 + 1. assign V559012 = V561800 + 1. assign V979370 = V464350. assign V236943 = V398500 + 1. assign V906830 = V894239. assign V283831 = V788978 + 1. assign V064963 = V369768 + 1. assign V626769 = V064623 + 1. assign V505039 = V284731 + 1. assign V791864 = V114456. assign V788581 = V728511 - 1. assign V528751 = V464350. assign V479653 = V498573 - 1. assign V063949 = V627830 + 1. assign V380957 = V505039 + 1. assign V106851 = V398500 + 1. assign V236796 = V817998. assign V817998 = V886071. assign V777020 = V840426 - 1. assign V763359 = V152592 + 1. assign V152592 = V464350 + 1. assign V458150 = V818836 - 1. assign V747160 = V065654 - 1. assign V293770 = V250969. assign V065654 = V931021. assign V771551 = V236943. assign V369768 = V464350. assign V029173 = V495813. assign V917875 = V342805. assign V719576 = V480087. assign V277670 = V010175 + 1. assign V297192 = V777020. assign V373361 = V362876 + 1. assign V282135 = V641679 - 1. assign V250969 = V559012 - 1. assign V424394 = V257661. assign V322988 = V409486 + 1. assign V163328 = V561800. assign V917041 = V924898 + 1. assign V050316 = V541695 + 1. assign V743854 = V998430. assign V819443 = V661736 - 1. assign V409486 = V464350 + 1. assign V444303 = V979370. assign V194073 = V136366 + 1. assign V894239 = 7. assign V279054 = V409486. assign V641679 = V728511. assign V027444 = V412757. assign V053430 = V468807 - 1. assign V342805 = V064623 + 1. assign V186143 = V607918. assign V455682 = V194073 + 1. assign V662178 = V152592 + 1. assign V437981 = V595226 + 1. assign V747680 = V312816. assign V788978 = V771551 - 1. assign V413964 = V528751 + 1. assign V889276 = V706959. assign V422815 = V065654 - 1. assign V280975 = V771551. assign V114456 = V136366 + 1. assign V886071 = V312024. assign V441011 = V277670 + 1. assign V135064 = V728511. assign V587308 = V458150 + 1. assign V110721 = V369768 + 1. assign V641381 = V600101 - 1. assign V793722 = V280975. assign V595226 = V455682 - 1. assign V340742 = V369768 - 1. assign V427130 = V479653 + 1. assign V010175 = V895160. assign V362876 = V819443. assign V480087 = V136366 - 1. assign V178019 = V528751. assign V950102 = V745843 + 1. assign V131846 = V882314. assign V074514 = V743854 + 1. assign V658442 = V409486 - 1. assign V312024 = V998430. assign V742783 = V743854 + 1. assign V523195 = V817998. assign V264037 = V882314 + 1. assign V011062 = V264037. assign V188763 = V362876. assign V810876 = V706205 - 1. assign V517212 = V114456 - 1. assign V081042 = V087796 + 1. assign V745843 = V994765. assign V144367 = V280975 + 1. assign V043596 = V468807 - 1. assign V028247 = V378699 + 1. assign V150497 = V480659 - 1. assign V561800 = V479653. assign V087796 = V053430. assign V480659 = V480087 - 1. assign V222877 = V607918. assign V098457 = V480087 + 1. assign V674104 = V788581 + 1. assign V233147 = V731975 + 1. assign V616783 = V771551 - 1. assign V610903 = V479653 - 1. assign V063382 = V163600 - 1. assign V880320 = V464350 + 1. assign V194082 = V917875 - 1. assign V818836 = V931021. assign V788510 = V398500 + 1. assign V653682 = V771551. assign V627830 = V458150 + 1. assign V301720 = V264037 - 1. assign V994765 = V840426. assign V398500 = V931021 - 1. assign V468807 = V065654 - 1. assign V192093 = V422815. assign V257661 = V587308. assign V412757 = V882314 + 1. assign V570187 = V788510 + 1. assign V707468 = V641679 + 1. assign V589905 = V950102. assign V696675 = V065654 - 1. assign V464350 = V931021. assign V454653 = V065654 - 1. assign V498573 = V152592.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V728511 = V398500. assign V341495 = V498573 - 1. assign V110737 = V277670 + 1. assign V468539 = V010765. assign V181961 = V413964. assign V603938 = V454653. assign V094878 = V464350 - 1. assign V998430 = V053430. assign V731975 = V600101 - 1. assign V349099 = V747160 + 1. assign V607918 = V444303 + 1. assign V105175 = V194073 - 1. assign V323228 = V114456. assign V468856 = V369768. assign V840426 = V728511 - 1. assign V706205 = V279054. assign V895160 = V378699 + 1. assign V136366 = V464350 - 1. assign V085871 = V282135 - 1. assign V778066 = V369768 + 1. assign V273515 = V194073 - 1. assign V495813 = V719576 + 1. assign V064623 = V931021 + 1. assign V538351 = V373361. assign V811095 = V194073 + 1. assign V651941 = V498573. assign V707874 = V094878 - 1. assign V541695 = V264037 + 1. assign V378699 = V409486. assign V284731 = V454653 + 1. assign V622402 = V590814 - 1. assign V681309 = V674104. assign V328091 = V284731 + 1. assign V010765 = V641679 + 1. assign V617533 = V398500 - 1. assign V168847 = V194073. assign V661736 = V979370. assign V924898 = V728511 - 1. assign V373184 = V043596. assign V767463 = V778066. assign V882314 = V464350. assign V472661 = V541695. assign V600101 = V064623. assign V590814 = V236943. assign V706959 = V444303 - 1. assign V163600 = V627830 - 1. assign V574191 = V152592. assign V906494 = V065654 + 1. assign V312816 = V323228 + 1. assign V559012 = V561800 + 1. assign V979370 = V464350. assign V236943 = V398500 + 1. assign V906830 = V894239. assign V283831 = V788978 + 1. assign V064963 = V369768 + 1. assign V626769 = V064623 + 1. assign V505039 = V284731 + 1. assign V791864 = V114456. assign V788581 = V728511 - 1. assign V528751 = V464350. assign V479653 = V498573 - 1. assign V063949 = V627830 + 1. assign V380957 = V505039 + 1. assign V106851 = V398500 + 1. assign V236796 = V817998. assign V817998 = V886071. assign V777020 = V840426 - 1. assign V763359 = V152592 + 1. assign V152592 = V464350 + 1. assign V458150 = V818836 - 1. assign V747160 = V065654 - 1. assign V293770 = V250969. assign V065654 = V931021. assign V771551 = V236943. assign V369768 = V464350. assign V029173 = V495813. assign V917875 = V342805. assign V719576 = V480087. assign V277670 = V010175 + 1. assign V297192 = V777020. assign V373361 = V362876 + 1. assign V282135 = V641679 - 1. assign V250969 = V559012 - 1. assign V424394 = V257661. assign V322988 = V409486 + 1. assign V163328 = V561800. assign V917041 = V924898 + 1. assign V050316 = V541695 + 1. assign V743854 = V998430. assign V819443 = V661736 - 1. assign V409486 = V464350 + 1. assign V444303 = V979370. assign V194073 = V136366 + 1. assign V894239 = 7. assign V279054 = V409486. assign V641679 = V728511. assign V027444 = V412757. assign V053430 = V468807 - 1. assign V342805 = V064623 + 1. assign V186143 = V607918. assign V455682 = V194073 + 1. assign V662178 = V152592 + 1. assign V437981 = V595226 + 1. assign V747680 = V312816. assign V788978 = V771551 - 1. assign V413964 = V528751 + 1. assign V889276 = V706959. assign V422815 = V065654 - 1. assign V280975 = V771551. assign V114456 = V136366 + 1. assign V886071 = V312024. assign V441011 = V277670 + 1. assign V135064 = V728511. assign V587308 = V458150 + 1. assign V110721 = V369768 + 1. assign V641381 = V600101 - 1. assign V793722 = V280975. assign V595226 = V455682 - 1. assign V340742 = V369768 - 1. assign V427130 = V479653 + 1. assign V010175 = V895160. assign V362876 = V819443. assign V480087 = V136366 - 1. assign V178019 = V528751. assign V950102 = V745843 + 1. assign V131846 = V882314. assign V074514 = V743854 + 1. assign V658442 = V409486 - 1. assign V312024 = V998430. assign V742783 = V743854 + 1. assign V523195 = V817998. assign V264037 = V882314 + 1. assign V011062 = V264037. assign V188763 = V362876. assign V810876 = V706205 - 1. assign V517212 = V114456 - 1. assign V081042 = V087796 + 1. assign V745843 = V994765. assign V144367 = V280975 + 1. assign V043596 = V468807 - 1. assign V028247 = V378699 + 1. assign V150497 = V480659 - 1. assign V561800 = V479653. assign V087796 = V053430. assign V480659 = V480087 - 1. assign V222877 = V607918. assign V098457 = V480087 + 1. assign V674104 = V788581 + 1. assign V233147 = V731975 + 1. assign V616783 = V771551 - 1. assign V610903 = V479653 - 1. assign V063382 = V163600 - 1. assign V880320 = V464350 + 1. assign V194082 = V917875 - 1. assign V818836 = V931021. assign V788510 = V398500 + 1. assign V653682 = V771551. assign V627830 = V458150 + 1. assign V301720 = V264037 - 1. assign V994765 = V840426. assign V398500 = V931021 - 1. assign V468807 = V065654 - 1. assign V192093 = V422815. assign V257661 = V587308. assign V412757 = V882314 + 1. assign V570187 = V788510 + 1. assign V707468 = V641679 + 1. assign V589905 = V950102. assign V696675 = V065654 - 1. assign V464350 = V931021. assign V454653 = V065654 - 1. assign V498573 = V152592.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV894239 = 7;\n\nFrom these direct assignment(s), we have: \nV906830 = V894239 = 7;\nNo other variables can be derived from V906830;\nNo other variables can be derived from V894239;\n\nNow we have done all the calculations. Derived variables are:\nV894239 = 7;\nV906830 = 7;\n\nNow we have finished this problem. ANSWER:\nV894239, V906830\n", "role": "assistant" } ]

[ "V009560", "V323620" ]

[ { "content": "<context>\nassign V246451 = V714602. assign V076667 = V598669. assign V923792 = V184205 - 1. assign V980963 = V458967. assign V049966 = V380625 - 1. assign V138525 = V380625 + 1. assign V276130 = V302765 - 1. assign V965630 = V458967 - 1. assign V621908 = V386661 - 1. assign V008030 = V554406 - 1. assign V442038 = V386661 + 1. assign V208916 = V845245 - 1. assign V183242 = V458967 - 1. assign V071707 = V283282. assign V919362 = V458967 - 1. assign V868025 = V648343 - 1. assign V656984 = V126958. assign V783969 = V566924 + 1. assign V181333 = V183242. assign V548185 = V283282 - 1. assign V658343 = V051378 + 1. assign V714602 = V676349 + 1. assign V894484 = V209226 - 1. assign V098799 = V051378. assign V503593 = V974732 - 1. assign V798245 = V965630. assign V644305 = V283282. assign V171631 = V749174 + 1. assign V304914 = V375210 - 1. assign V710440 = V109595 + 1. assign V268529 = V411065 + 1. assign V429184 = V718869. assign V096601 = V995125 - 1. assign V845245 = V314786. assign V285106 = V783969. assign V760224 = V096601 + 1. assign V025131 = V970838. assign V722685 = V969014 + 1. assign V718869 = V990544. assign V719177 = V572784 - 1. assign V349583 = V115368. assign V574392 = V656826. assign V914523 = V644305 + 1. assign V794486 = V769687. assign V184205 = V780707 + 1. assign V864641 = V283282 - 1. assign V411065 = V554406 + 1. assign V209226 = V411065. assign V648343 = V618782. assign V126958 = V727048. assign V743648 = V296094. assign V302765 = V572784. assign V939719 = V051378. assign V995125 = V644305. assign V314786 = V644305. assign V173508 = V676349 + 1. assign V727048 = V386661. assign V504584 = V176506 + 1. assign V979269 = V658343. assign V002900 = V719177 - 1. assign V298524 = V411065 + 1. assign V990500 = V635986. assign V886287 = V635986. assign V140701 = V832575. assign V900468 = V554406 + 1. assign V458967 = V283282 - 1. assign V877398 = V465036. assign V063207 = V780707. assign V745176 = V574392 + 1. assign V741965 = V411065 - 1. assign V780707 = V283282. assign V521426 = V387040 - 1. assign V922238 = V283282 - 1. assign V039208 = V386661 + 1. assign V987235 = V070617 - 1. assign V521870 = V071707 - 1. assign V617675 = V769687 - 1. assign V535468 = V386661 - 1. assign V805106 = V458967 + 1. assign V618782 = V864641 - 1. assign V856750 = V617597 + 1. assign V990544 = V183242 - 1. assign V883510 = V267840. assign V320541 = V049966 + 1. assign V432280 = V886287 + 1. assign V897481 = V063207. assign V769687 = V375210 + 1. assign V322104 = V800401 - 1. assign V484942 = V115368 - 1. assign V958497 = V897481 - 1. assign V570669 = V618782 + 1. assign V309045 = V375210. assign V566924 = V618782 - 1. assign V996851 = V658343. assign V184773 = V864302 - 1. assign V974732 = V386661 + 1. assign V267840 = V051378 + 1. assign V302291 = V554406. assign V932930 = V783969. assign V969014 = V618782. assign V808584 = V548185 - 1. assign V887912 = V621908. assign V464170 = V621908 + 1. assign V050034 = V800401 - 1. assign V747781 = V969014 - 1. assign V386661 = V002210 - 1. assign V189170 = V644305 - 1. assign V912317 = V900468 - 1. assign V423674 = V864641 - 1. assign V617597 = V302765 - 1. assign V755228 = V980963 - 1. assign V378828 = V109595 + 1. assign V115368 = V886287 - 1. assign V002210 = V380625 - 1. assign V109595 = V845245 - 1. assign V864302 = V676349 + 1. assign V374909 = V996851. assign V375210 = V380625. assign V800401 = V798245. assign V749174 = V650097 - 1. assign V857201 = V886287 - 1. assign V439753 = V802542. assign V479296 = V749174 + 1. assign V775069 = V126958. assign V115090 = V442038. assign V657539 = V423674 - 1. assign V995625 = V465036. assign V296094 = V098799. assign V319137 = V745176 + 1. assign V982822 = V049966 - 1. assign V939765 = V656984 - 1. assign V170098 = V794486 - 1. assign V572784 = V864641. assign V051378 = V283282 + 1. assign V513356 = V727048 - 1. assign V970838 = V969014. assign V703345 = V783969. assign V436455 = V063207. assign V783189 = V635986 - 1. assign V832575 = V076667 + 1. assign V863507 = V650097. assign V063471 = V209226 + 1. assign V380625 = V783969. assign V283282 = V650097 + 1. assign V302503 = V727048. assign V802542 = V805106 + 1. assign V598669 = V002210 - 1. assign V323620 = V009560. assign V899876 = V617597 - 1. assign V244767 = V002210 + 1. assign V635986 = V644305 - 1. assign V111984 = V894484 + 1. assign V176506 = V008030 - 1. assign V470278 = V996851 + 1. assign V554406 = V969014 - 1. assign V465036 = V618782 + 1. assign V961432 = V070617 + 1. assign V952378 = V970838. assign V571134 = V780707 + 1. assign V070617 = V635986. assign V148186 = V296094 - 1. assign V121170 = V548185 + 1. assign V339308 = V296094. assign V009560 = 2. assign V864634 = V863507. assign V656826 = V783969 + 1. assign V896725 = V115368 + 1. assign V387040 = V658343 - 1. assign V676349 = V648343 + 1. assign V287496 = V570669. assign V961560 = V296094 - 1. assign V990113 = V617597 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V246451 = V714602. assign V076667 = V598669. assign V923792 = V184205 - 1. assign V980963 = V458967. assign V049966 = V380625 - 1. assign V138525 = V380625 + 1. assign V276130 = V302765 - 1. assign V965630 = V458967 - 1. assign V621908 = V386661 - 1. assign V008030 = V554406 - 1. assign V442038 = V386661 + 1. assign V208916 = V845245 - 1. assign V183242 = V458967 - 1. assign V071707 = V283282. assign V919362 = V458967 - 1. assign V868025 = V648343 - 1. assign V656984 = V126958. assign V783969 = V566924 + 1. assign V181333 = V183242. assign V548185 = V283282 - 1. assign V658343 = V051378 + 1. assign V714602 = V676349 + 1. assign V894484 = V209226 - 1. assign V098799 = V051378. assign V503593 = V974732 - 1. assign V798245 = V965630. assign V644305 = V283282. assign V171631 = V749174 + 1. assign V304914 = V375210 - 1. assign V710440 = V109595 + 1. assign V268529 = V411065 + 1. assign V429184 = V718869. assign V096601 = V995125 - 1. assign V845245 = V314786. assign V285106 = V783969. assign V760224 = V096601 + 1. assign V025131 = V970838. assign V722685 = V969014 + 1. assign V718869 = V990544. assign V719177 = V572784 - 1. assign V349583 = V115368. assign V574392 = V656826. assign V914523 = V644305 + 1. assign V794486 = V769687. assign V184205 = V780707 + 1. assign V864641 = V283282 - 1. assign V411065 = V554406 + 1. assign V209226 = V411065. assign V648343 = V618782. assign V126958 = V727048. assign V743648 = V296094. assign V302765 = V572784. assign V939719 = V051378. assign V995125 = V644305. assign V314786 = V644305. assign V173508 = V676349 + 1. assign V727048 = V386661. assign V504584 = V176506 + 1. assign V979269 = V658343. assign V002900 = V719177 - 1. assign V298524 = V411065 + 1. assign V990500 = V635986. assign V886287 = V635986. assign V140701 = V832575. assign V900468 = V554406 + 1. assign V458967 = V283282 - 1. assign V877398 = V465036. assign V063207 = V780707. assign V745176 = V574392 + 1. assign V741965 = V411065 - 1. assign V780707 = V283282. assign V521426 = V387040 - 1. assign V922238 = V283282 - 1. assign V039208 = V386661 + 1. assign V987235 = V070617 - 1. assign V521870 = V071707 - 1. assign V617675 = V769687 - 1. assign V535468 = V386661 - 1. assign V805106 = V458967 + 1. assign V618782 = V864641 - 1. assign V856750 = V617597 + 1. assign V990544 = V183242 - 1. assign V883510 = V267840. assign V320541 = V049966 + 1. assign V432280 = V886287 + 1. assign V897481 = V063207. assign V769687 = V375210 + 1. assign V322104 = V800401 - 1. assign V484942 = V115368 - 1. assign V958497 = V897481 - 1. assign V570669 = V618782 + 1. assign V309045 = V375210. assign V566924 = V618782 - 1. assign V996851 = V658343. assign V184773 = V864302 - 1. assign V974732 = V386661 + 1. assign V267840 = V051378 + 1. assign V302291 = V554406. assign V932930 = V783969. assign V969014 = V618782. assign V808584 = V548185 - 1. assign V887912 = V621908. assign V464170 = V621908 + 1. assign V050034 = V800401 - 1. assign V747781 = V969014 - 1. assign V386661 = V002210 - 1. assign V189170 = V644305 - 1. assign V912317 = V900468 - 1. assign V423674 = V864641 - 1. assign V617597 = V302765 - 1. assign V755228 = V980963 - 1. assign V378828 = V109595 + 1. assign V115368 = V886287 - 1. assign V002210 = V380625 - 1. assign V109595 = V845245 - 1. assign V864302 = V676349 + 1. assign V374909 = V996851. assign V375210 = V380625. assign V800401 = V798245. assign V749174 = V650097 - 1. assign V857201 = V886287 - 1. assign V439753 = V802542. assign V479296 = V749174 + 1. assign V775069 = V126958. assign V115090 = V442038. assign V657539 = V423674 - 1. assign V995625 = V465036. assign V296094 = V098799. assign V319137 = V745176 + 1. assign V982822 = V049966 - 1. assign V939765 = V656984 - 1. assign V170098 = V794486 - 1. assign V572784 = V864641. assign V051378 = V283282 + 1. assign V513356 = V727048 - 1. assign V970838 = V969014. assign V703345 = V783969. assign V436455 = V063207. assign V783189 = V635986 - 1. assign V832575 = V076667 + 1. assign V863507 = V650097. assign V063471 = V209226 + 1. assign V380625 = V783969. assign V283282 = V650097 + 1. assign V302503 = V727048. assign V802542 = V805106 + 1. assign V598669 = V002210 - 1. assign V323620 = V009560. assign V899876 = V617597 - 1. assign V244767 = V002210 + 1. assign V635986 = V644305 - 1. assign V111984 = V894484 + 1. assign V176506 = V008030 - 1. assign V470278 = V996851 + 1. assign V554406 = V969014 - 1. assign V465036 = V618782 + 1. assign V961432 = V070617 + 1. assign V952378 = V970838. assign V571134 = V780707 + 1. assign V070617 = V635986. assign V148186 = V296094 - 1. assign V121170 = V548185 + 1. assign V339308 = V296094. assign V009560 = 2. assign V864634 = V863507. assign V656826 = V783969 + 1. assign V896725 = V115368 + 1. assign V387040 = V658343 - 1. assign V676349 = V648343 + 1. assign V287496 = V570669. assign V961560 = V296094 - 1. assign V990113 = V617597 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV009560 = 2;\n\nFrom these direct assignment(s), we have: \nV323620 = V009560 = 2;\nNo other variables can be derived from V323620;\nNo other variables can be derived from V009560;\n\nNow we have done all the calculations. Derived variables are:\nV009560 = 2;\nV323620 = 2;\n\nNow we have finished this problem. ANSWER:\nV009560, V323620\n", "role": "assistant" } ]

[ "V930932", "V554869" ]

[ { "content": "<context>\nassign V021977 = V929250 - 1. assign V351294 = V891720. assign V615437 = V811070 - 1. assign V721439 = V903053 - 1. assign V611998 = V615437 - 1. assign V904193 = V755781. assign V759626 = V637943 + 1. assign V962019 = V408003 - 1. assign V909722 = V664502 - 1. assign V324451 = V382445 + 1. assign V261749 = V904193 - 1. assign V731724 = V478655 - 1. assign V664230 = V320656 + 1. assign V961183 = V198538 - 1. assign V930932 = 7. assign V231094 = V211434 - 1. assign V500069 = V408003 - 1. assign V865953 = V909722 + 1. assign V848622 = V761233 - 1. assign V300236 = V664230 + 1. assign V074895 = V674603. assign V616385 = V268229 + 1. assign V912148 = V002040 - 1. assign V685631 = V225236 + 1. assign V020434 = V359870 - 1. assign V830838 = V962019 - 1. assign V225236 = V374617 + 1. assign V618480 = V961183. assign V170177 = V954956 + 1. assign V571293 = V397842 - 1. assign V485778 = V903053 - 1. assign V503513 = V817664 - 1. assign V088247 = V345155 + 1. assign V368341 = V615437 + 1. assign V236451 = V961183. assign V669224 = V616385 - 1. assign V808792 = V761233 + 1. assign V325138 = V834559 + 1. assign V405092 = V542024. assign V052776 = V808792 - 1. assign V850073 = V839589 + 1. assign V403704 = V909722 + 1. assign V945236 = V755781 - 1. assign V849910 = V962019 - 1. assign V582865 = V397899 - 1. assign V408003 = V268229 - 1. assign V956845 = V620705 - 1. assign V834559 = V962019 + 1. assign V228201 = V616385 - 1. assign V778717 = V903053 + 1. assign V806184 = V904193 + 1. assign V528576 = V325138 + 1. assign V558679 = V652654 - 1. assign V531683 = V806184. assign V496118 = V652850 + 1. assign V374617 = V268229 + 1. assign V248295 = V652850 - 1. assign V125329 = V771220 + 1. assign V674603 = V163014. assign V929250 = V616385 + 1. assign V509971 = V397899 - 1. assign V620705 = V593396 + 1. assign V017463 = V211434 + 1. assign V046628 = V831592 + 1. assign V969628 = V903053 - 1. assign V109215 = V531683. assign V903053 = V408003. assign V877810 = V761233. assign V939001 = V168833 - 1. assign V773935 = V485778. assign V402237 = V397842 + 1. assign V090054 = V300236 + 1. assign V637885 = V831592 + 1. assign V542024 = V891720 + 1. assign V593191 = V211434 - 1. assign V414871 = V211434 + 1. assign V957398 = V225236. assign V954956 = V652850. assign V168956 = V945236 - 1. assign V820310 = V664502 + 1. assign V168833 = V414871 + 1. assign V594323 = V526951 + 1. assign V050270 = V324451 - 1. assign V258301 = V850073 + 1. assign V811070 = V616385 + 1. assign V626139 = V850073 + 1. assign V611600 = V542024 + 1. assign V147592 = V831592. assign V996850 = V721439. assign V198538 = V929250 - 1. assign V928377 = V909722. assign V495571 = V637429 - 1. assign V606333 = V593396 - 1. assign V243180 = V806184. assign V556419 = V620705 + 1. assign V684861 = V600379 + 1. assign V186129 = V837531 - 1. assign V729115 = V755781. assign V600379 = V773935. assign V817664 = V374617. assign V317621 = V168956 - 1. assign V224117 = V865953 - 1. assign V568104 = V359870 + 1. assign V181491 = V168956 - 1. assign V231975 = V961183 - 1. assign V526951 = V268229. assign V652654 = V731724. assign V349885 = V988253. assign V002854 = V147592. assign V320656 = V616385 + 1. assign V776878 = V616385 - 1. assign V148251 = V962019 + 1. assign V367404 = V485778 + 1. assign V359870 = V942286. assign V201617 = V850073 - 1. assign V300582 = V865953 + 1. assign V942286 = V268229. assign V831592 = V225236 + 1. assign V678220 = V909722 - 1. assign V002040 = V962019 - 1. assign V784907 = V942588 + 1. assign V988253 = V211434 + 1. assign V163014 = V903053. assign V478655 = V408003 + 1. assign V476925 = V996850. assign V294473 = V568104 - 1. assign V023168 = V020434 - 1. assign V922050 = V942588. assign V593396 = V652850 + 1. assign V909370 = V485778 - 1. assign V942588 = V721439 - 1. assign V516999 = V359870. assign V771220 = V637943 + 1. assign V958359 = V345155 - 1. assign V504866 = V125329. assign V664502 = V374617 + 1. assign V211434 = V560501 + 1. assign V782745 = V778717. assign V341790 = V408003 - 1. assign V564230 = V945236. assign V755781 = V408003. assign V745123 = V806184 - 1. assign V837531 = V261749. assign V935396 = V294473 + 1. assign V637943 = V341790 + 1. assign V761233 = V268229 - 1. assign V891720 = V359870. assign V222683 = V485778. assign V465001 = V320656 - 1. assign V959071 = V848622 - 1. assign V758803 = V341790 + 1. assign V720851 = V593396 - 1. assign V839589 = V593191 + 1. assign V282572 = V954956 - 1. assign V778856 = V368341 + 1. assign V637429 = V168833 + 1. assign V560501 = V408003 - 1. assign V397899 = V046628 + 1. assign V161757 = V571293 + 1. assign V689643 = V052776. assign V397842 = V615437 + 1. assign V652850 = V761233. assign V674494 = V620705 + 1. assign V007048 = V954956 - 1. assign V345155 = V903053 - 1. assign V837618 = V903053 + 1. assign V848033 = V600379 + 1. assign V382445 = V560501. assign V554869 = V930932. assign V935702 = V168956 - 1. assign V566249 = V325138 + 1. assign V332054 = V761233 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V021977 = V929250 - 1. assign V351294 = V891720. assign V615437 = V811070 - 1. assign V721439 = V903053 - 1. assign V611998 = V615437 - 1. assign V904193 = V755781. assign V759626 = V637943 + 1. assign V962019 = V408003 - 1. assign V909722 = V664502 - 1. assign V324451 = V382445 + 1. assign V261749 = V904193 - 1. assign V731724 = V478655 - 1. assign V664230 = V320656 + 1. assign V961183 = V198538 - 1. assign V930932 = 7. assign V231094 = V211434 - 1. assign V500069 = V408003 - 1. assign V865953 = V909722 + 1. assign V848622 = V761233 - 1. assign V300236 = V664230 + 1. assign V074895 = V674603. assign V616385 = V268229 + 1. assign V912148 = V002040 - 1. assign V685631 = V225236 + 1. assign V020434 = V359870 - 1. assign V830838 = V962019 - 1. assign V225236 = V374617 + 1. assign V618480 = V961183. assign V170177 = V954956 + 1. assign V571293 = V397842 - 1. assign V485778 = V903053 - 1. assign V503513 = V817664 - 1. assign V088247 = V345155 + 1. assign V368341 = V615437 + 1. assign V236451 = V961183. assign V669224 = V616385 - 1. assign V808792 = V761233 + 1. assign V325138 = V834559 + 1. assign V405092 = V542024. assign V052776 = V808792 - 1. assign V850073 = V839589 + 1. assign V403704 = V909722 + 1. assign V945236 = V755781 - 1. assign V849910 = V962019 - 1. assign V582865 = V397899 - 1. assign V408003 = V268229 - 1. assign V956845 = V620705 - 1. assign V834559 = V962019 + 1. assign V228201 = V616385 - 1. assign V778717 = V903053 + 1. assign V806184 = V904193 + 1. assign V528576 = V325138 + 1. assign V558679 = V652654 - 1. assign V531683 = V806184. assign V496118 = V652850 + 1. assign V374617 = V268229 + 1. assign V248295 = V652850 - 1. assign V125329 = V771220 + 1. assign V674603 = V163014. assign V929250 = V616385 + 1. assign V509971 = V397899 - 1. assign V620705 = V593396 + 1. assign V017463 = V211434 + 1. assign V046628 = V831592 + 1. assign V969628 = V903053 - 1. assign V109215 = V531683. assign V903053 = V408003. assign V877810 = V761233. assign V939001 = V168833 - 1. assign V773935 = V485778. assign V402237 = V397842 + 1. assign V090054 = V300236 + 1. assign V637885 = V831592 + 1. assign V542024 = V891720 + 1. assign V593191 = V211434 - 1. assign V414871 = V211434 + 1. assign V957398 = V225236. assign V954956 = V652850. assign V168956 = V945236 - 1. assign V820310 = V664502 + 1. assign V168833 = V414871 + 1. assign V594323 = V526951 + 1. assign V050270 = V324451 - 1. assign V258301 = V850073 + 1. assign V811070 = V616385 + 1. assign V626139 = V850073 + 1. assign V611600 = V542024 + 1. assign V147592 = V831592. assign V996850 = V721439. assign V198538 = V929250 - 1. assign V928377 = V909722. assign V495571 = V637429 - 1. assign V606333 = V593396 - 1. assign V243180 = V806184. assign V556419 = V620705 + 1. assign V684861 = V600379 + 1. assign V186129 = V837531 - 1. assign V729115 = V755781. assign V600379 = V773935. assign V817664 = V374617. assign V317621 = V168956 - 1. assign V224117 = V865953 - 1. assign V568104 = V359870 + 1. assign V181491 = V168956 - 1. assign V231975 = V961183 - 1. assign V526951 = V268229. assign V652654 = V731724. assign V349885 = V988253. assign V002854 = V147592. assign V320656 = V616385 + 1. assign V776878 = V616385 - 1. assign V148251 = V962019 + 1. assign V367404 = V485778 + 1. assign V359870 = V942286. assign V201617 = V850073 - 1. assign V300582 = V865953 + 1. assign V942286 = V268229. assign V831592 = V225236 + 1. assign V678220 = V909722 - 1. assign V002040 = V962019 - 1. assign V784907 = V942588 + 1. assign V988253 = V211434 + 1. assign V163014 = V903053. assign V478655 = V408003 + 1. assign V476925 = V996850. assign V294473 = V568104 - 1. assign V023168 = V020434 - 1. assign V922050 = V942588. assign V593396 = V652850 + 1. assign V909370 = V485778 - 1. assign V942588 = V721439 - 1. assign V516999 = V359870. assign V771220 = V637943 + 1. assign V958359 = V345155 - 1. assign V504866 = V125329. assign V664502 = V374617 + 1. assign V211434 = V560501 + 1. assign V782745 = V778717. assign V341790 = V408003 - 1. assign V564230 = V945236. assign V755781 = V408003. assign V745123 = V806184 - 1. assign V837531 = V261749. assign V935396 = V294473 + 1. assign V637943 = V341790 + 1. assign V761233 = V268229 - 1. assign V891720 = V359870. assign V222683 = V485778. assign V465001 = V320656 - 1. assign V959071 = V848622 - 1. assign V758803 = V341790 + 1. assign V720851 = V593396 - 1. assign V839589 = V593191 + 1. assign V282572 = V954956 - 1. assign V778856 = V368341 + 1. assign V637429 = V168833 + 1. assign V560501 = V408003 - 1. assign V397899 = V046628 + 1. assign V161757 = V571293 + 1. assign V689643 = V052776. assign V397842 = V615437 + 1. assign V652850 = V761233. assign V674494 = V620705 + 1. assign V007048 = V954956 - 1. assign V345155 = V903053 - 1. assign V837618 = V903053 + 1. assign V848033 = V600379 + 1. assign V382445 = V560501. assign V554869 = V930932. assign V935702 = V168956 - 1. assign V566249 = V325138 + 1. assign V332054 = V761233 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV930932 = 7;\n\nFrom these direct assignment(s), we have: \nV554869 = V930932 = 7;\nNo other variables can be derived from V554869;\nNo other variables can be derived from V930932;\n\nNow we have done all the calculations. Derived variables are:\nV930932 = 7;\nV554869 = 7;\n\nNow we have finished this problem. ANSWER:\nV930932, V554869\n", "role": "assistant" } ]

[ "V664533" ]

[ { "content": "<context>\nassign V347420 = V686202 + 1. assign V804048 = V083450. assign V251950 = V626841. assign V298893 = V569587 + 1. assign V244740 = V385106. assign V517065 = V789473 - 1. assign V951256 = V440323 + 1. assign V638225 = V482285. assign V552429 = V412886 - 1. assign V948051 = V692375 - 1. assign V652517 = V638225 - 1. assign V255510 = V298599 + 1. assign V387814 = V267098. assign V970763 = V569587. assign V186172 = V798828 + 1. assign V807453 = V007888 - 1. assign V787394 = V440323. assign V177644 = V385106 - 1. assign V374650 = V656792 + 1. assign V739712 = V105345. assign V267098 = V787394 - 1. assign V029014 = V710133 - 1. assign V375596 = V710133 - 1. assign V694660 = V412886. assign V323524 = V461068. assign V476554 = V969325 + 1. assign V251384 = V684934 - 1. assign V482285 = V298599 - 1. assign V707006 = V007350 + 1. assign V686202 = V461068 - 1. assign V783965 = V563896 - 1. assign V870209 = V083450. assign V418334 = V375596 + 1. assign V846383 = V732964 - 1. assign V789473 = V798828. assign V416108 = V683926 - 1. assign V692375 = V213371 + 1. assign V732964 = V347876 + 1. assign V664533 = V628486 + 1. assign V936439 = V416108 + 1. assign V628486 = 8. assign V601047 = V482285 - 1. assign V656792 = V837140. assign V691135 = V140020. assign V259078 = V813701. assign V677316 = V764133 - 1. assign V963121 = V689441. assign V093886 = V710133 - 1. assign V301507 = V323524. assign V798828 = V440323. assign V458576 = V469378. assign V105808 = V694660 + 1. assign V174311 = V389074 - 1. assign V461068 = V569587. assign V144998 = V454690 - 1. assign V474769 = V353702 - 1. assign V657483 = V475687 - 1. assign V201686 = V758684 + 1. assign V877233 = V476554 + 1. assign V792765 = V763191 + 1. assign V254768 = V970763 + 1. assign V727518 = V656271. assign V870375 = V837140 + 1. assign V964817 = V838569. assign V764133 = V385106 + 1. assign V838569 = V317539 - 1. assign V662075 = V657483 + 1. assign V689441 = V873890 - 1. assign V969771 = V018475. assign V976373 = V686202 + 1. assign V665331 = V288483. assign V656271 = V789500. assign V763191 = V951256. assign V228177 = V317539. assign V117099 = V969325 + 1. assign V117642 = V813243 - 1. assign V364621 = V117642 - 1. assign V710133 = V237988. assign V758684 = V244740 - 1. assign V389074 = V375596. assign V374538 = V789473 - 1. assign V892333 = V563896 + 1. assign V516899 = V298893 - 1. assign V255387 = V029014. assign V060211 = V657483 + 1. assign V837140 = V364621. assign V140020 = V475687. assign V909627 = V789473 - 1. assign V467582 = V374650 + 1. assign V774531 = V684934 + 1. assign V413564 = V969325 + 1. assign V130248 = V387814. assign V892464 = V007888 - 1. assign V421266 = V140020 - 1. assign V224509 = V631092 - 1. assign V524430 = V454690 - 1. assign V141462 = V416108 - 1. assign V573476 = V813243. assign V581741 = V007888 + 1. assign V353702 = V440323 - 1. assign V368195 = V385106 - 1. assign V469378 = V838569 + 1. assign V007888 = V461068 - 1. assign V018475 = V652517. assign V007350 = V837140 + 1. assign V789500 = V454690 + 1. assign V569587 = V798828 + 1. assign V873890 = V909627. assign V872182 = V275327 + 1. assign V529004 = V656792 - 1. assign V755322 = V892333. assign V842247 = V209727 - 1. assign V813701 = V367822 - 1. assign V263214 = V789473 + 1. assign V631092 = V117099. assign V733946 = V461068 + 1. assign V747931 = V440323 + 1. assign V147804 = V323524. assign V213621 = V710133. assign V344010 = V367822. assign V196442 = V141462 + 1. assign V083450 = V683926 + 1. assign V237988 = V798828. assign V105678 = V892333 - 1. assign V209727 = V440323 + 1. assign V660957 = V838569. assign V302573 = V224509 - 1. assign V563896 = V440323. assign V392764 = V662075 - 1. assign V969325 = V475687 - 1. assign V347876 = V787394. assign V105345 = V141462 + 1. assign V115056 = V412886 - 1. assign V335588 = V007350 - 1. assign V367822 = V683926 - 1. assign V304909 = V347420 - 1. assign V061639 = V563896 - 1. assign V333842 = V909627. assign V367798 = V813701. assign V385106 = V909627 - 1. assign V157530 = V263214. assign V861338 = V677316 - 1. assign V355923 = V747931. assign V250044 = V144998. assign V507753 = V347420 + 1. assign V454690 = V874662. assign V288483 = V007888. assign V275327 = V948051 + 1. assign V394599 = V416108 - 1. assign V317539 = V798828 + 1. assign V445963 = V683926 + 1. assign V273137 = V727518. assign V874662 = V461068. assign V787728 = V677316 - 1. assign V626841 = V482285 - 1. assign V956431 = V948051 + 1. assign V412886 = V347876 + 1. assign V933170 = V301507. assign V475687 = V209727 - 1. assign V684934 = V581741. assign V051330 = V474769. assign V780437 = V686202. assign V213371 = V209727 + 1. assign V018528 = V798828 + 1. assign V212576 = V263214. assign V813243 = V355923 - 1. assign V439506 = V707006 + 1. assign V603453 = V209727 - 1. assign V141257 = V029014. assign V683926 = V798828 - 1. assign V298599 = V787394 - 1. assign V485817 = V662075 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V347420 = V686202 + 1. assign V804048 = V083450. assign V251950 = V626841. assign V298893 = V569587 + 1. assign V244740 = V385106. assign V517065 = V789473 - 1. assign V951256 = V440323 + 1. assign V638225 = V482285. assign V552429 = V412886 - 1. assign V948051 = V692375 - 1. assign V652517 = V638225 - 1. assign V255510 = V298599 + 1. assign V387814 = V267098. assign V970763 = V569587. assign V186172 = V798828 + 1. assign V807453 = V007888 - 1. assign V787394 = V440323. assign V177644 = V385106 - 1. assign V374650 = V656792 + 1. assign V739712 = V105345. assign V267098 = V787394 - 1. assign V029014 = V710133 - 1. assign V375596 = V710133 - 1. assign V694660 = V412886. assign V323524 = V461068. assign V476554 = V969325 + 1. assign V251384 = V684934 - 1. assign V482285 = V298599 - 1. assign V707006 = V007350 + 1. assign V686202 = V461068 - 1. assign V783965 = V563896 - 1. assign V870209 = V083450. assign V418334 = V375596 + 1. assign V846383 = V732964 - 1. assign V789473 = V798828. assign V416108 = V683926 - 1. assign V692375 = V213371 + 1. assign V732964 = V347876 + 1. assign V664533 = V628486 + 1. assign V936439 = V416108 + 1. assign V628486 = 8. assign V601047 = V482285 - 1. assign V656792 = V837140. assign V691135 = V140020. assign V259078 = V813701. assign V677316 = V764133 - 1. assign V963121 = V689441. assign V093886 = V710133 - 1. assign V301507 = V323524. assign V798828 = V440323. assign V458576 = V469378. assign V105808 = V694660 + 1. assign V174311 = V389074 - 1. assign V461068 = V569587. assign V144998 = V454690 - 1. assign V474769 = V353702 - 1. assign V657483 = V475687 - 1. assign V201686 = V758684 + 1. assign V877233 = V476554 + 1. assign V792765 = V763191 + 1. assign V254768 = V970763 + 1. assign V727518 = V656271. assign V870375 = V837140 + 1. assign V964817 = V838569. assign V764133 = V385106 + 1. assign V838569 = V317539 - 1. assign V662075 = V657483 + 1. assign V689441 = V873890 - 1. assign V969771 = V018475. assign V976373 = V686202 + 1. assign V665331 = V288483. assign V656271 = V789500. assign V763191 = V951256. assign V228177 = V317539. assign V117099 = V969325 + 1. assign V117642 = V813243 - 1. assign V364621 = V117642 - 1. assign V710133 = V237988. assign V758684 = V244740 - 1. assign V389074 = V375596. assign V374538 = V789473 - 1. assign V892333 = V563896 + 1. assign V516899 = V298893 - 1. assign V255387 = V029014. assign V060211 = V657483 + 1. assign V837140 = V364621. assign V140020 = V475687. assign V909627 = V789473 - 1. assign V467582 = V374650 + 1. assign V774531 = V684934 + 1. assign V413564 = V969325 + 1. assign V130248 = V387814. assign V892464 = V007888 - 1. assign V421266 = V140020 - 1. assign V224509 = V631092 - 1. assign V524430 = V454690 - 1. assign V141462 = V416108 - 1. assign V573476 = V813243. assign V581741 = V007888 + 1. assign V353702 = V440323 - 1. assign V368195 = V385106 - 1. assign V469378 = V838569 + 1. assign V007888 = V461068 - 1. assign V018475 = V652517. assign V007350 = V837140 + 1. assign V789500 = V454690 + 1. assign V569587 = V798828 + 1. assign V873890 = V909627. assign V872182 = V275327 + 1. assign V529004 = V656792 - 1. assign V755322 = V892333. assign V842247 = V209727 - 1. assign V813701 = V367822 - 1. assign V263214 = V789473 + 1. assign V631092 = V117099. assign V733946 = V461068 + 1. assign V747931 = V440323 + 1. assign V147804 = V323524. assign V213621 = V710133. assign V344010 = V367822. assign V196442 = V141462 + 1. assign V083450 = V683926 + 1. assign V237988 = V798828. assign V105678 = V892333 - 1. assign V209727 = V440323 + 1. assign V660957 = V838569. assign V302573 = V224509 - 1. assign V563896 = V440323. assign V392764 = V662075 - 1. assign V969325 = V475687 - 1. assign V347876 = V787394. assign V105345 = V141462 + 1. assign V115056 = V412886 - 1. assign V335588 = V007350 - 1. assign V367822 = V683926 - 1. assign V304909 = V347420 - 1. assign V061639 = V563896 - 1. assign V333842 = V909627. assign V367798 = V813701. assign V385106 = V909627 - 1. assign V157530 = V263214. assign V861338 = V677316 - 1. assign V355923 = V747931. assign V250044 = V144998. assign V507753 = V347420 + 1. assign V454690 = V874662. assign V288483 = V007888. assign V275327 = V948051 + 1. assign V394599 = V416108 - 1. assign V317539 = V798828 + 1. assign V445963 = V683926 + 1. assign V273137 = V727518. assign V874662 = V461068. assign V787728 = V677316 - 1. assign V626841 = V482285 - 1. assign V956431 = V948051 + 1. assign V412886 = V347876 + 1. assign V933170 = V301507. assign V475687 = V209727 - 1. assign V684934 = V581741. assign V051330 = V474769. assign V780437 = V686202. assign V213371 = V209727 + 1. assign V018528 = V798828 + 1. assign V212576 = V263214. assign V813243 = V355923 - 1. assign V439506 = V707006 + 1. assign V603453 = V209727 - 1. assign V141257 = V029014. assign V683926 = V798828 - 1. assign V298599 = V787394 - 1. assign V485817 = V662075 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV628486 = 8;\n\nFrom these direct assignment(s), we have: \nV664533 = V628486 + 1 = 8 + 1 =9;\nNo other variables can be derived from V664533;\nNo other variables can be derived from V628486;\n\nNow we have done all the calculations. Derived variables are:\nV628486 = 8;\nV664533 = 9;\n\nNow we have finished this problem. ANSWER:\nV664533\n", "role": "assistant" } ]

[ "V236264", "V275347" ]

[ { "content": "<context>\nassign V328111 = V246205 - 1. assign V520179 = V246205. assign V733989 = V314217 + 1. assign V758908 = V401659 + 1. assign V331377 = V475824 + 1. assign V007689 = V199741 - 1. assign V567293 = V265904 + 1. assign V648059 = V303025. assign V559395 = V289033 - 1. assign V299466 = V475824. assign V217496 = V334536. assign V050499 = V331377. assign V357894 = V414655 + 1. assign V317565 = V265904. assign V575860 = V475824 - 1. assign V012625 = V879104. assign V071900 = V401659. assign V303025 = V050414 + 1. assign V523433 = V080239. assign V282416 = V334536 - 1. assign V078754 = V810211 - 1. assign V177202 = V071900. assign V687017 = V000499 - 1. assign V115239 = V053097. assign V497413 = V299466 - 1. assign V350378 = V932238 - 1. assign V675132 = V007689 - 1. assign V843791 = V078754 + 1. assign V715654 = V782644 + 1. assign V236264 = 2. assign V184719 = V675132 - 1. assign V504448 = V513626. assign V040857 = V832898. assign V405356 = V349420 - 1. assign V366068 = V383709. assign V278924 = V832898. assign V879104 = V050499 - 1. assign V503071 = V262845 + 1. assign V554073 = V138578 - 1. assign V379946 = V341703. assign V527862 = V078754. assign V867946 = V711418 - 1. assign V911280 = V000499 + 1. assign V015926 = V405356. assign V310261 = V733989 - 1. assign V791863 = V592321 + 1. assign V341703 = V575860 + 1. assign V975289 = V125210 + 1. assign V383709 = V475824. assign V086589 = V879104 - 1. assign V561890 = V832898. assign V482708 = V246205 + 1. assign V336239 = V050499 + 1. assign V704276 = V648059 + 1. assign V931102 = V366068 - 1. assign V266735 = V575860 + 1. assign V566514 = V875747. assign V586256 = V125210. assign V349420 = V246205 + 1. assign V560344 = V600991 - 1. assign V695971 = V149259 - 1. assign V600991 = V331377 - 1. assign V416619 = V554073 + 1. assign V314217 = V331377. assign V080239 = V331377 - 1. assign V077615 = V328111. assign V050627 = V012111 + 1. assign V020170 = V012625 + 1. assign V300026 = V314217 + 1. assign V093891 = V475824. assign V421280 = V035172 - 1. assign V021611 = V093891 + 1. assign V424965 = V497413. assign V351468 = V199613 - 1. assign V765431 = V527862 + 1. assign V149569 = V550637. assign V795882 = V453114 - 1. assign V071079 = V975289 - 1. assign V376494 = V314217 - 1. assign V786781 = V852526 + 1. assign V395343 = V336239 + 1. assign V068839 = V975289 - 1. assign V875747 = V320057 + 1. assign V915916 = V246205 - 1. assign V050414 = V067157. assign V289033 = V077615 - 1. assign V217736 = V302992 + 1. assign V910189 = V791863 + 1. assign V025405 = V843791 - 1. assign V025548 = V341703. assign V962068 = V184719 + 1. assign V832898 = V475824 - 1. assign V466486 = V289033 - 1. assign V317893 = V050499. assign V672572 = V482708 - 1. assign V287350 = V376494. assign V932238 = V138578. assign V012111 = V303025 - 1. assign V199741 = V810211. assign V053097 = V810211 + 1. assign V125210 = V672572 + 1. assign V547299 = V586256. assign V626957 = V015926 - 1. assign V453114 = V331377 + 1. assign V149259 = V691845 + 1. assign V799776 = V067157 + 1. assign V199613 = V832898 + 1. assign V815488 = V249214 + 1. assign V615538 = V843791 - 1. assign V239989 = V331377. assign V035172 = V334536 + 1. assign V852526 = V387943 - 1. assign V302992 = V520179. assign V866941 = V586256 + 1. assign V572141 = V919929 - 1. assign V550637 = V601956 + 1. assign V482542 = V733989 - 1. assign V368849 = V799267 + 1. assign V782644 = V302992. assign V513626 = V067157. assign V414655 = V331377. assign V512340 = V387943. assign V454282 = V475824. assign V334536 = V266735 + 1. assign V067157 = V575860. assign V799267 = V331377. assign V495364 = V366068. assign V603094 = V021611 + 1. assign V849647 = V331377 + 1. assign V292131 = V314217 - 1. assign V262845 = V266735 + 1. assign V666069 = V600991 - 1. assign V255019 = V482708. assign V962465 = V520179 - 1. assign V673410 = V249214 - 1. assign V601956 = V843791 - 1. assign V157905 = V672572 + 1. assign V387943 = V799776 - 1. assign V320057 = V040857 + 1. assign V683201 = V035658 - 1. assign V944373 = V911280. assign V584858 = V849647 + 1. assign V308455 = V266212 + 1. assign V219587 = V550637 + 1. assign V000499 = V331377 - 1. assign V812108 = V482708 - 1. assign V810211 = V349420 + 1. assign V249214 = V482708 - 1. assign V741477 = V387943 - 1. assign V691845 = V000499 + 1. assign V711418 = V262845. assign V407042 = V300026 - 1. assign V275347 = V236264. assign V885860 = V383709 + 1. assign V265904 = V675132 - 1. assign V202975 = V575860 - 1. assign V996103 = V138578 - 1. assign V919929 = V586256. assign V035658 = V287350. assign V401659 = V849647 + 1. assign V654507 = V077615 - 1. assign V592321 = V077615 + 1. assign V863904 = V303025 - 1. assign V435924 = V341703 - 1. assign V246205 = V314217 - 1. assign V244958 = V077615. assign V052821 = V504448 - 1. assign V897013 = V184719. assign V077665 = V554073 + 1. assign V266212 = V454282 - 1. assign V965209 = V266735. assign V138578 = V575860.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V328111 = V246205 - 1. assign V520179 = V246205. assign V733989 = V314217 + 1. assign V758908 = V401659 + 1. assign V331377 = V475824 + 1. assign V007689 = V199741 - 1. assign V567293 = V265904 + 1. assign V648059 = V303025. assign V559395 = V289033 - 1. assign V299466 = V475824. assign V217496 = V334536. assign V050499 = V331377. assign V357894 = V414655 + 1. assign V317565 = V265904. assign V575860 = V475824 - 1. assign V012625 = V879104. assign V071900 = V401659. assign V303025 = V050414 + 1. assign V523433 = V080239. assign V282416 = V334536 - 1. assign V078754 = V810211 - 1. assign V177202 = V071900. assign V687017 = V000499 - 1. assign V115239 = V053097. assign V497413 = V299466 - 1. assign V350378 = V932238 - 1. assign V675132 = V007689 - 1. assign V843791 = V078754 + 1. assign V715654 = V782644 + 1. assign V236264 = 2. assign V184719 = V675132 - 1. assign V504448 = V513626. assign V040857 = V832898. assign V405356 = V349420 - 1. assign V366068 = V383709. assign V278924 = V832898. assign V879104 = V050499 - 1. assign V503071 = V262845 + 1. assign V554073 = V138578 - 1. assign V379946 = V341703. assign V527862 = V078754. assign V867946 = V711418 - 1. assign V911280 = V000499 + 1. assign V015926 = V405356. assign V310261 = V733989 - 1. assign V791863 = V592321 + 1. assign V341703 = V575860 + 1. assign V975289 = V125210 + 1. assign V383709 = V475824. assign V086589 = V879104 - 1. assign V561890 = V832898. assign V482708 = V246205 + 1. assign V336239 = V050499 + 1. assign V704276 = V648059 + 1. assign V931102 = V366068 - 1. assign V266735 = V575860 + 1. assign V566514 = V875747. assign V586256 = V125210. assign V349420 = V246205 + 1. assign V560344 = V600991 - 1. assign V695971 = V149259 - 1. assign V600991 = V331377 - 1. assign V416619 = V554073 + 1. assign V314217 = V331377. assign V080239 = V331377 - 1. assign V077615 = V328111. assign V050627 = V012111 + 1. assign V020170 = V012625 + 1. assign V300026 = V314217 + 1. assign V093891 = V475824. assign V421280 = V035172 - 1. assign V021611 = V093891 + 1. assign V424965 = V497413. assign V351468 = V199613 - 1. assign V765431 = V527862 + 1. assign V149569 = V550637. assign V795882 = V453114 - 1. assign V071079 = V975289 - 1. assign V376494 = V314217 - 1. assign V786781 = V852526 + 1. assign V395343 = V336239 + 1. assign V068839 = V975289 - 1. assign V875747 = V320057 + 1. assign V915916 = V246205 - 1. assign V050414 = V067157. assign V289033 = V077615 - 1. assign V217736 = V302992 + 1. assign V910189 = V791863 + 1. assign V025405 = V843791 - 1. assign V025548 = V341703. assign V962068 = V184719 + 1. assign V832898 = V475824 - 1. assign V466486 = V289033 - 1. assign V317893 = V050499. assign V672572 = V482708 - 1. assign V287350 = V376494. assign V932238 = V138578. assign V012111 = V303025 - 1. assign V199741 = V810211. assign V053097 = V810211 + 1. assign V125210 = V672572 + 1. assign V547299 = V586256. assign V626957 = V015926 - 1. assign V453114 = V331377 + 1. assign V149259 = V691845 + 1. assign V799776 = V067157 + 1. assign V199613 = V832898 + 1. assign V815488 = V249214 + 1. assign V615538 = V843791 - 1. assign V239989 = V331377. assign V035172 = V334536 + 1. assign V852526 = V387943 - 1. assign V302992 = V520179. assign V866941 = V586256 + 1. assign V572141 = V919929 - 1. assign V550637 = V601956 + 1. assign V482542 = V733989 - 1. assign V368849 = V799267 + 1. assign V782644 = V302992. assign V513626 = V067157. assign V414655 = V331377. assign V512340 = V387943. assign V454282 = V475824. assign V334536 = V266735 + 1. assign V067157 = V575860. assign V799267 = V331377. assign V495364 = V366068. assign V603094 = V021611 + 1. assign V849647 = V331377 + 1. assign V292131 = V314217 - 1. assign V262845 = V266735 + 1. assign V666069 = V600991 - 1. assign V255019 = V482708. assign V962465 = V520179 - 1. assign V673410 = V249214 - 1. assign V601956 = V843791 - 1. assign V157905 = V672572 + 1. assign V387943 = V799776 - 1. assign V320057 = V040857 + 1. assign V683201 = V035658 - 1. assign V944373 = V911280. assign V584858 = V849647 + 1. assign V308455 = V266212 + 1. assign V219587 = V550637 + 1. assign V000499 = V331377 - 1. assign V812108 = V482708 - 1. assign V810211 = V349420 + 1. assign V249214 = V482708 - 1. assign V741477 = V387943 - 1. assign V691845 = V000499 + 1. assign V711418 = V262845. assign V407042 = V300026 - 1. assign V275347 = V236264. assign V885860 = V383709 + 1. assign V265904 = V675132 - 1. assign V202975 = V575860 - 1. assign V996103 = V138578 - 1. assign V919929 = V586256. assign V035658 = V287350. assign V401659 = V849647 + 1. assign V654507 = V077615 - 1. assign V592321 = V077615 + 1. assign V863904 = V303025 - 1. assign V435924 = V341703 - 1. assign V246205 = V314217 - 1. assign V244958 = V077615. assign V052821 = V504448 - 1. assign V897013 = V184719. assign V077665 = V554073 + 1. assign V266212 = V454282 - 1. assign V965209 = V266735. assign V138578 = V575860.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV236264 = 2;\n\nFrom these direct assignment(s), we have: \nV275347 = V236264 = 2;\nNo other variables can be derived from V275347;\nNo other variables can be derived from V236264;\n\nNow we have done all the calculations. Derived variables are:\nV236264 = 2;\nV275347 = 2;\n\nNow we have finished this problem. ANSWER:\nV236264, V275347\n", "role": "assistant" } ]

[ "V663916" ]

[ { "content": "<context>\nassign V203840 = V454482 - 1. assign V018229 = 1. assign V417858 = V467448 + 1. assign V197035 = V142222 - 1. assign V231423 = V914668 + 1. assign V158324 = V274641 + 1. assign V835473 = V606057 + 1. assign V791787 = V472860 - 1. assign V636567 = V388255. assign V779914 = V259331. assign V936514 = V203840. assign V259331 = V504179 + 1. assign V168115 = V914668 + 1. assign V812236 = V424346 - 1. assign V865597 = V443918 - 1. assign V704711 = V838077 + 1. assign V357335 = V189655 + 1. assign V237601 = V110238. assign V502212 = V472860 + 1. assign V576527 = V114248 + 1. assign V198498 = V259331. assign V693255 = V116344. assign V186945 = V189655. assign V434797 = V114248. assign V279010 = V989170 - 1. assign V238536 = V914668. assign V056826 = V504179 + 1. assign V632122 = V571960 - 1. assign V794034 = V622691. assign V664126 = V928888 + 1. assign V787441 = V195765 + 1. assign V648179 = V491067 - 1. assign V348534 = V237601 + 1. assign V375361 = V682002 + 1. assign V700191 = V193534. assign V502423 = V094993. assign V519970 = V480589. assign V020738 = V611292 - 1. assign V338591 = V834055 + 1. assign V219234 = V961148. assign V955069 = V961148 - 1. assign V131344 = V873714. assign V980969 = V472860 - 1. assign V640906 = V388255 + 1. assign V643231 = V195765 + 1. assign V106841 = V312435. assign V633192 = V768410 + 1. assign V282774 = V197362 + 1. assign V472860 = V189655 + 1. assign V446224 = V424346. assign V924870 = V237601. assign V233508 = V873714. assign V424346 = V961148 - 1. assign V274641 = V193534 + 1. assign V868711 = V559158. assign V330833 = V193534. assign V622691 = V504179. assign V546302 = V651283 - 1. assign V625922 = V193534 + 1. assign V839992 = V900241 - 1. assign V985328 = V643231. assign V733469 = V961148 + 1. assign V454482 = V274641. assign V912487 = V279991. assign V312435 = V274641 + 1. assign V759038 = V186945. assign V745326 = V424346 - 1. assign V514985 = V834055. assign V407963 = V114248 - 1. assign V504309 = V961148 + 1. assign V639679 = V625922 - 1. assign V303261 = V357335. assign V814512 = V348534 - 1. assign V999521 = V682002 + 1. assign V189655 = V914668 + 1. assign V389576 = V791787 - 1. assign V263700 = V095856. assign V406729 = V837219. assign V879362 = V330833 - 1. assign V934062 = V948589 + 1. assign V606057 = V625922. assign V197362 = V312435 - 1. assign V168621 = V791787. assign V110238 = V396374 + 1. assign V857853 = V961148 + 1. assign V543961 = V914668 - 1. assign V873714 = V052785. assign V084624 = V110238 - 1. assign V571960 = V504309. assign V213421 = V197035 - 1. assign V866004 = V636567. assign V548329 = V873714 + 1. assign V928888 = V838077. assign V465425 = V928888 + 1. assign V651283 = V704711 - 1. assign V848779 = V873714. assign V961148 = V193534 + 1. assign V116344 = V611292. assign V948589 = V961148. assign V480812 = V548329. assign V835219 = V465425 - 1. assign V435793 = V900241. assign V639397 = V189655 - 1. assign V518463 = V454482. assign V989170 = V454482 - 1. assign V900241 = V055196 + 1. assign V768410 = V388255 - 1. assign V142222 = V625922. assign V764408 = V768410 - 1. assign V605452 = V606057 + 1. assign V687623 = V193534 - 1. assign V359175 = V768410. assign V491067 = V168115. assign V711427 = V207435. assign V988901 = V687623 + 1. assign V075413 = V491067 - 1. assign V676989 = V259331 + 1. assign V443918 = V454482 + 1. assign V504179 = V189655 + 1. assign V095856 = V510950. assign V992222 = V312435 + 1. assign V079756 = V312435 + 1. assign V423393 = V389576 + 1. assign V969494 = V237601 - 1. assign V237599 = V142222 - 1. assign V834055 = V625922 - 1. assign V291235 = V912487. assign V279991 = V388255 + 1. assign V136568 = V238536 - 1. assign V343248 = V338591 + 1. assign V680906 = V639397 - 1. assign V802480 = V936514 + 1. assign V559158 = V502212 - 1. assign V692366 = V759038. assign V683202 = V605452. assign V611292 = V189655. assign V467448 = V559158. assign V114248 = V543961. assign V138290 = V611292 - 1. assign V956177 = V410527 - 1. assign V715026 = V189655 + 1. assign V233679 = V948589 + 1. assign V771437 = V052785 + 1. assign V480589 = V189655. assign V324702 = V238536 - 1. assign V837219 = V639397. assign V346731 = V519970 - 1. assign V418856 = V611292. assign V551633 = V491067 + 1. assign V396374 = V312435 + 1. assign V437246 = V237601. assign V991820 = V094993. assign V597019 = V692366 - 1. assign V388255 = V231423 + 1. assign V379926 = V834055 - 1. assign V052785 = V186945. assign V207435 = V110238 + 1. assign V838077 = V543961. assign V580785 = V396374 - 1. assign V510950 = V992222 + 1. assign V506059 = V237599. assign V094993 = V406729 + 1. assign V467691 = V213421 + 1. assign V055196 = V514985 - 1. assign V116030 = V094993. assign V775650 = V504179 - 1. assign V410527 = V639397 - 1. assign V728713 = V357335 - 1. assign V914668 = V142222. assign V195765 = V639397 + 1. assign V663916 = V018229 - 1. assign V682002 = V213421 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V203840 = V454482 - 1. assign V018229 = 1. assign V417858 = V467448 + 1. assign V197035 = V142222 - 1. assign V231423 = V914668 + 1. assign V158324 = V274641 + 1. assign V835473 = V606057 + 1. assign V791787 = V472860 - 1. assign V636567 = V388255. assign V779914 = V259331. assign V936514 = V203840. assign V259331 = V504179 + 1. assign V168115 = V914668 + 1. assign V812236 = V424346 - 1. assign V865597 = V443918 - 1. assign V704711 = V838077 + 1. assign V357335 = V189655 + 1. assign V237601 = V110238. assign V502212 = V472860 + 1. assign V576527 = V114248 + 1. assign V198498 = V259331. assign V693255 = V116344. assign V186945 = V189655. assign V434797 = V114248. assign V279010 = V989170 - 1. assign V238536 = V914668. assign V056826 = V504179 + 1. assign V632122 = V571960 - 1. assign V794034 = V622691. assign V664126 = V928888 + 1. assign V787441 = V195765 + 1. assign V648179 = V491067 - 1. assign V348534 = V237601 + 1. assign V375361 = V682002 + 1. assign V700191 = V193534. assign V502423 = V094993. assign V519970 = V480589. assign V020738 = V611292 - 1. assign V338591 = V834055 + 1. assign V219234 = V961148. assign V955069 = V961148 - 1. assign V131344 = V873714. assign V980969 = V472860 - 1. assign V640906 = V388255 + 1. assign V643231 = V195765 + 1. assign V106841 = V312435. assign V633192 = V768410 + 1. assign V282774 = V197362 + 1. assign V472860 = V189655 + 1. assign V446224 = V424346. assign V924870 = V237601. assign V233508 = V873714. assign V424346 = V961148 - 1. assign V274641 = V193534 + 1. assign V868711 = V559158. assign V330833 = V193534. assign V622691 = V504179. assign V546302 = V651283 - 1. assign V625922 = V193534 + 1. assign V839992 = V900241 - 1. assign V985328 = V643231. assign V733469 = V961148 + 1. assign V454482 = V274641. assign V912487 = V279991. assign V312435 = V274641 + 1. assign V759038 = V186945. assign V745326 = V424346 - 1. assign V514985 = V834055. assign V407963 = V114248 - 1. assign V504309 = V961148 + 1. assign V639679 = V625922 - 1. assign V303261 = V357335. assign V814512 = V348534 - 1. assign V999521 = V682002 + 1. assign V189655 = V914668 + 1. assign V389576 = V791787 - 1. assign V263700 = V095856. assign V406729 = V837219. assign V879362 = V330833 - 1. assign V934062 = V948589 + 1. assign V606057 = V625922. assign V197362 = V312435 - 1. assign V168621 = V791787. assign V110238 = V396374 + 1. assign V857853 = V961148 + 1. assign V543961 = V914668 - 1. assign V873714 = V052785. assign V084624 = V110238 - 1. assign V571960 = V504309. assign V213421 = V197035 - 1. assign V866004 = V636567. assign V548329 = V873714 + 1. assign V928888 = V838077. assign V465425 = V928888 + 1. assign V651283 = V704711 - 1. assign V848779 = V873714. assign V961148 = V193534 + 1. assign V116344 = V611292. assign V948589 = V961148. assign V480812 = V548329. assign V835219 = V465425 - 1. assign V435793 = V900241. assign V639397 = V189655 - 1. assign V518463 = V454482. assign V989170 = V454482 - 1. assign V900241 = V055196 + 1. assign V768410 = V388255 - 1. assign V142222 = V625922. assign V764408 = V768410 - 1. assign V605452 = V606057 + 1. assign V687623 = V193534 - 1. assign V359175 = V768410. assign V491067 = V168115. assign V711427 = V207435. assign V988901 = V687623 + 1. assign V075413 = V491067 - 1. assign V676989 = V259331 + 1. assign V443918 = V454482 + 1. assign V504179 = V189655 + 1. assign V095856 = V510950. assign V992222 = V312435 + 1. assign V079756 = V312435 + 1. assign V423393 = V389576 + 1. assign V969494 = V237601 - 1. assign V237599 = V142222 - 1. assign V834055 = V625922 - 1. assign V291235 = V912487. assign V279991 = V388255 + 1. assign V136568 = V238536 - 1. assign V343248 = V338591 + 1. assign V680906 = V639397 - 1. assign V802480 = V936514 + 1. assign V559158 = V502212 - 1. assign V692366 = V759038. assign V683202 = V605452. assign V611292 = V189655. assign V467448 = V559158. assign V114248 = V543961. assign V138290 = V611292 - 1. assign V956177 = V410527 - 1. assign V715026 = V189655 + 1. assign V233679 = V948589 + 1. assign V771437 = V052785 + 1. assign V480589 = V189655. assign V324702 = V238536 - 1. assign V837219 = V639397. assign V346731 = V519970 - 1. assign V418856 = V611292. assign V551633 = V491067 + 1. assign V396374 = V312435 + 1. assign V437246 = V237601. assign V991820 = V094993. assign V597019 = V692366 - 1. assign V388255 = V231423 + 1. assign V379926 = V834055 - 1. assign V052785 = V186945. assign V207435 = V110238 + 1. assign V838077 = V543961. assign V580785 = V396374 - 1. assign V510950 = V992222 + 1. assign V506059 = V237599. assign V094993 = V406729 + 1. assign V467691 = V213421 + 1. assign V055196 = V514985 - 1. assign V116030 = V094993. assign V775650 = V504179 - 1. assign V410527 = V639397 - 1. assign V728713 = V357335 - 1. assign V914668 = V142222. assign V195765 = V639397 + 1. assign V663916 = V018229 - 1. assign V682002 = V213421 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV018229 = 1;\n\nFrom these direct assignment(s), we have: \nV663916 = V018229 - 1 = 1 - 1 =0;\nNo other variables can be derived from V663916;\nNo other variables can be derived from V018229;\n\nNow we have done all the calculations. Derived variables are:\nV018229 = 1;\nV663916 = 0;\n\nNow we have finished this problem. ANSWER:\nV663916\n", "role": "assistant" } ]

[ "V723322", "V371026" ]

[ { "content": "<context>\nassign V921317 = V804107 + 1. assign V836934 = V446400. assign V047030 = V600090. assign V414689 = V388220 + 1. assign V969201 = V124801. assign V495547 = V047030. assign V702204 = V392737. assign V284994 = V540516 + 1. assign V006084 = V487491. assign V479970 = V643160 + 1. assign V145631 = V625892 - 1. assign V953197 = V489458 - 1. assign V763905 = V284994 + 1. assign V464664 = V540516. assign V487491 = V507401. assign V121990 = V454591. assign V021493 = V259197 - 1. assign V277161 = V688746. assign V670713 = V220408. assign V241130 = V827616 + 1. assign V315402 = V124801. assign V702676 = V836934 + 1. assign V872843 = V838645 - 1. assign V176747 = V534824. assign V600090 = V884898 + 1. assign V559414 = V749169. assign V982643 = V887677 - 1. assign V887677 = V050302 + 1. assign V835454 = V078978 - 1. assign V287410 = V017983. assign V625892 = V967674 - 1. assign V134544 = V486653 + 1. assign V838645 = V287410. assign V021315 = V291874 - 1. assign V033506 = V670713 + 1. assign V346430 = V006084 + 1. assign V217516 = V884898. assign V396042 = V682089 + 1. assign V905645 = V643160. assign V877982 = V388384. assign V014571 = V878587. assign V549816 = V446400 - 1. assign V534824 = V606358 + 1. assign V333447 = V863596 - 1. assign V579955 = V229983 - 1. assign V424099 = V489458. assign V878587 = V308764. assign V500469 = V439179 + 1. assign V921961 = V440022 + 1. assign V377876 = V561030 - 1. assign V949173 = V480873. assign V658076 = V358588 - 1. assign V884898 = V319673 + 1. assign V388384 = V561030. assign V804107 = V534824. assign V007214 = V827616 - 1. assign V546408 = V853646. assign V120980 = V050302 - 1. assign V933190 = V545618 - 1. assign V229983 = V606358. assign V017983 = V863596 + 1. assign V489458 = V971968 + 1. assign V291874 = V702676 - 1. assign V486653 = V853646 + 1. assign V863596 = V396042 - 1. assign V126878 = V017983. assign V614926 = V507401. assign V825876 = V863634. assign V806512 = V670713 - 1. assign V826696 = V004233 + 1. assign V723322 = 9. assign V308764 = V388384 + 1. assign V606358 = V487491 - 1. assign V681339 = V921961 + 1. assign V745155 = V586022 + 1. assign V358588 = V545618 - 1. assign V388220 = V004233 + 1. assign V050302 = V682089 - 1. assign V171432 = V643160 + 1. assign V561030 = V333447 + 1. assign V170720 = V287410. assign V440022 = V863596 - 1. assign V231623 = V884898 + 1. assign V935699 = V050302. assign V243275 = V489458 + 1. assign V078978 = V853646 - 1. assign V626525 = V007214 - 1. assign V392737 = V396042 - 1. assign V294596 = V742745 + 1. assign V319673 = V827616. assign V699333 = V643587 + 1. assign V127569 = V017326 + 1. assign V873840 = V480873. assign V175911 = V188514 + 1. assign V545618 = V446400 + 1. assign V069924 = V688746. assign V055473 = V826696. assign V741067 = V507401. assign V518612 = V358588 - 1. assign V661003 = V248703. assign V738361 = V333447. assign V210748 = V171432 - 1. assign V827616 = V545618. assign V371026 = V723322. assign V711870 = V480873 - 1. assign V853646 = V648916. assign V176409 = V699333 - 1. assign V868428 = V949173. assign V742745 = V319673 + 1. assign V874551 = V884898 - 1. assign V921499 = V549816 - 1. assign V773902 = V487491 - 1. assign V540516 = V648916. assign V017326 = V658076 + 1. assign V470275 = V887677 - 1. assign V939558 = V884898. assign V643587 = V287410 + 1. assign V735009 = V824497 - 1. assign V586022 = V507401 + 1. assign V824497 = V682089 + 1. assign V756434 = V825876 + 1. assign V683999 = V540516. assign V514384 = V741067 - 1. assign V439179 = V518612 - 1. assign V210550 = V600090 - 1. assign V971968 = V648916 + 1. assign V322859 = V835454 - 1. assign V220408 = V446400 - 1. assign V211425 = V614926 - 1. assign V968148 = V518612. assign V797160 = V561030. assign V188514 = V655600. assign V451827 = V127569 - 1. assign V948797 = V308764 + 1. assign V616446 = V308764 + 1. assign V682089 = V446400. assign V863634 = V949173. assign V309261 = V546408 - 1. assign V480873 = V319673 + 1. assign V804468 = V017983 + 1. assign V160510 = V606358 - 1. assign V655600 = V827616 + 1. assign V259197 = V480873. assign V648916 = V884898 + 1. assign V688746 = V643160 - 1. assign V446278 = V682089. assign V672379 = V241130. assign V696690 = V935699. assign V749169 = V545618 + 1. assign V967674 = V971968 + 1. assign V124801 = V949173 + 1. assign V532141 = V446400 - 1. assign V656280 = V967674. assign V550040 = V248703 + 1. assign V537224 = V291874. assign V248703 = V949173 - 1. assign V650880 = V319673. assign V769216 = V682089 + 1. assign V129777 = V392737 - 1. assign V436383 = V241130. assign V507401 = V643160. assign V004233 = V874551 + 1. assign V159819 = V909485 + 1. assign V454591 = V770308. assign V909485 = V835454 - 1. assign V351516 = V825876. assign V922480 = V424099 - 1. assign V361769 = V643160 - 1. assign V354342 = V702204. assign V770308 = V294596. assign V163869 = V534824 + 1. assign V643160 = V658076 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V921317 = V804107 + 1. assign V836934 = V446400. assign V047030 = V600090. assign V414689 = V388220 + 1. assign V969201 = V124801. assign V495547 = V047030. assign V702204 = V392737. assign V284994 = V540516 + 1. assign V006084 = V487491. assign V479970 = V643160 + 1. assign V145631 = V625892 - 1. assign V953197 = V489458 - 1. assign V763905 = V284994 + 1. assign V464664 = V540516. assign V487491 = V507401. assign V121990 = V454591. assign V021493 = V259197 - 1. assign V277161 = V688746. assign V670713 = V220408. assign V241130 = V827616 + 1. assign V315402 = V124801. assign V702676 = V836934 + 1. assign V872843 = V838645 - 1. assign V176747 = V534824. assign V600090 = V884898 + 1. assign V559414 = V749169. assign V982643 = V887677 - 1. assign V887677 = V050302 + 1. assign V835454 = V078978 - 1. assign V287410 = V017983. assign V625892 = V967674 - 1. assign V134544 = V486653 + 1. assign V838645 = V287410. assign V021315 = V291874 - 1. assign V033506 = V670713 + 1. assign V346430 = V006084 + 1. assign V217516 = V884898. assign V396042 = V682089 + 1. assign V905645 = V643160. assign V877982 = V388384. assign V014571 = V878587. assign V549816 = V446400 - 1. assign V534824 = V606358 + 1. assign V333447 = V863596 - 1. assign V579955 = V229983 - 1. assign V424099 = V489458. assign V878587 = V308764. assign V500469 = V439179 + 1. assign V921961 = V440022 + 1. assign V377876 = V561030 - 1. assign V949173 = V480873. assign V658076 = V358588 - 1. assign V884898 = V319673 + 1. assign V388384 = V561030. assign V804107 = V534824. assign V007214 = V827616 - 1. assign V546408 = V853646. assign V120980 = V050302 - 1. assign V933190 = V545618 - 1. assign V229983 = V606358. assign V017983 = V863596 + 1. assign V489458 = V971968 + 1. assign V291874 = V702676 - 1. assign V486653 = V853646 + 1. assign V863596 = V396042 - 1. assign V126878 = V017983. assign V614926 = V507401. assign V825876 = V863634. assign V806512 = V670713 - 1. assign V826696 = V004233 + 1. assign V723322 = 9. assign V308764 = V388384 + 1. assign V606358 = V487491 - 1. assign V681339 = V921961 + 1. assign V745155 = V586022 + 1. assign V358588 = V545618 - 1. assign V388220 = V004233 + 1. assign V050302 = V682089 - 1. assign V171432 = V643160 + 1. assign V561030 = V333447 + 1. assign V170720 = V287410. assign V440022 = V863596 - 1. assign V231623 = V884898 + 1. assign V935699 = V050302. assign V243275 = V489458 + 1. assign V078978 = V853646 - 1. assign V626525 = V007214 - 1. assign V392737 = V396042 - 1. assign V294596 = V742745 + 1. assign V319673 = V827616. assign V699333 = V643587 + 1. assign V127569 = V017326 + 1. assign V873840 = V480873. assign V175911 = V188514 + 1. assign V545618 = V446400 + 1. assign V069924 = V688746. assign V055473 = V826696. assign V741067 = V507401. assign V518612 = V358588 - 1. assign V661003 = V248703. assign V738361 = V333447. assign V210748 = V171432 - 1. assign V827616 = V545618. assign V371026 = V723322. assign V711870 = V480873 - 1. assign V853646 = V648916. assign V176409 = V699333 - 1. assign V868428 = V949173. assign V742745 = V319673 + 1. assign V874551 = V884898 - 1. assign V921499 = V549816 - 1. assign V773902 = V487491 - 1. assign V540516 = V648916. assign V017326 = V658076 + 1. assign V470275 = V887677 - 1. assign V939558 = V884898. assign V643587 = V287410 + 1. assign V735009 = V824497 - 1. assign V586022 = V507401 + 1. assign V824497 = V682089 + 1. assign V756434 = V825876 + 1. assign V683999 = V540516. assign V514384 = V741067 - 1. assign V439179 = V518612 - 1. assign V210550 = V600090 - 1. assign V971968 = V648916 + 1. assign V322859 = V835454 - 1. assign V220408 = V446400 - 1. assign V211425 = V614926 - 1. assign V968148 = V518612. assign V797160 = V561030. assign V188514 = V655600. assign V451827 = V127569 - 1. assign V948797 = V308764 + 1. assign V616446 = V308764 + 1. assign V682089 = V446400. assign V863634 = V949173. assign V309261 = V546408 - 1. assign V480873 = V319673 + 1. assign V804468 = V017983 + 1. assign V160510 = V606358 - 1. assign V655600 = V827616 + 1. assign V259197 = V480873. assign V648916 = V884898 + 1. assign V688746 = V643160 - 1. assign V446278 = V682089. assign V672379 = V241130. assign V696690 = V935699. assign V749169 = V545618 + 1. assign V967674 = V971968 + 1. assign V124801 = V949173 + 1. assign V532141 = V446400 - 1. assign V656280 = V967674. assign V550040 = V248703 + 1. assign V537224 = V291874. assign V248703 = V949173 - 1. assign V650880 = V319673. assign V769216 = V682089 + 1. assign V129777 = V392737 - 1. assign V436383 = V241130. assign V507401 = V643160. assign V004233 = V874551 + 1. assign V159819 = V909485 + 1. assign V454591 = V770308. assign V909485 = V835454 - 1. assign V351516 = V825876. assign V922480 = V424099 - 1. assign V361769 = V643160 - 1. assign V354342 = V702204. assign V770308 = V294596. assign V163869 = V534824 + 1. assign V643160 = V658076 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV723322 = 9;\n\nFrom these direct assignment(s), we have: \nV371026 = V723322 = 9;\nNo other variables can be derived from V371026;\nNo other variables can be derived from V723322;\n\nNow we have done all the calculations. Derived variables are:\nV723322 = 9;\nV371026 = 9;\n\nNow we have finished this problem. ANSWER:\nV723322, V371026\n", "role": "assistant" } ]

[ "V919330" ]

[ { "content": "<context>\nassign V123051 = V896939 - 1. assign V212651 = V062585 + 1. assign V201918 = V695204 + 1. assign V426921 = V216623 - 1. assign V533388 = V896939. assign V233750 = V277576 - 1. assign V726474 = V074729 + 1. assign V919330 = V924097 + 1. assign V489563 = V804162 + 1. assign V024413 = V277576 - 1. assign V536409 = V934987 - 1. assign V154173 = V745428 + 1. assign V120016 = V933070 - 1. assign V112591 = V624554. assign V969241 = V328517 - 1. assign V835324 = V277576. assign V849488 = V764609. assign V305837 = V255031. assign V134171 = V801429 + 1. assign V477391 = V695204 + 1. assign V725988 = V849488 - 1. assign V648435 = V216623 - 1. assign V871068 = V582668 + 1. assign V277576 = V892608 + 1. assign V754702 = V216623 + 1. assign V881290 = V882624. assign V576590 = V754702. assign V721739 = V277576. assign V458714 = V648435 + 1. assign V564318 = V489563 - 1. assign V390288 = V069286. assign V562836 = V970459 - 1. assign V291359 = V644006 + 1. assign V644553 = V458714 - 1. assign V110926 = V637858 - 1. assign V074729 = V896939 + 1. assign V059188 = V583602 - 1. assign V216623 = V834042 - 1. assign V644006 = V255031 - 1. assign V383112 = V454614. assign V047454 = V368372 + 1. assign V452206 = V133929. assign V624554 = V088755 + 1. assign V896939 = V216623 + 1. assign V695204 = V216623. assign V195580 = V892608 + 1. assign V996359 = V216623. assign V807028 = V183374 - 1. assign V584498 = V317667 - 1. assign V299674 = V074729 - 1. assign V362550 = V456151. assign V670479 = V560367 + 1. assign V588644 = V454135. assign V088755 = V477391. assign V204086 = V062585 + 1. assign V456151 = V004732 - 1. assign V970459 = V996359 + 1. assign V541550 = V133929 + 1. assign V029262 = V764609. assign V882624 = V216623 - 1. assign V069286 = V648435. assign V474577 = V315023 + 1. assign V723187 = V195580 - 1. assign V764609 = V273249 - 1. assign V977131 = V625148 + 1. assign V210181 = V133929 - 1. assign V317667 = V195580. assign V684320 = V238746. assign V818261 = V554006 + 1. assign V826053 = V560367. assign V671873 = V923308 - 1. assign V924097 = 3. assign V162435 = V988595 - 1. assign V557358 = V395280 - 1. assign V238746 = V834042. assign V929839 = V106860 + 1. assign V790520 = V207631 - 1. assign V164143 = V923308. assign V923308 = V216623 + 1. assign V096044 = V529256 + 1. assign V892608 = V896939 - 1. assign V273249 = V896939 + 1. assign V636076 = V926356 - 1. assign V004732 = V804162 - 1. assign V152638 = V834042 - 1. assign V183374 = V390288 + 1. assign V902954 = V273249 + 1. assign V789256 = V456151 - 1. assign V442009 = V106860 + 1. assign V898300 = V452206 + 1. assign V594543 = V684320. assign V543896 = V151530. assign V801429 = V162435 + 1. assign V110125 = V207631 + 1. assign V622438 = V834042 - 1. assign V454135 = V204086. assign V554006 = V152638. assign V328517 = V892608. assign V342911 = V871068. assign V868824 = V195580. assign V745428 = V273249 + 1. assign V786974 = V458714. assign V174179 = V582668 - 1. assign V315023 = V644006 + 1. assign V368372 = V201918 + 1. assign V988595 = V062585 - 1. assign V363123 = V383112 + 1. assign V560367 = V238746 - 1. assign V186199 = V923308 + 1. assign V177724 = V882624 - 1. assign V583602 = V562836 - 1. assign V201103 = V273249. assign V350122 = V174179. assign V637858 = V695204. assign V770539 = V583602. assign V837659 = V902954. assign V416430 = V162435 + 1. assign V164423 = V996359 - 1. assign V558695 = V833056 - 1. assign V239329 = V134171 - 1. assign V956759 = V317667 - 1. assign V934987 = V273249 + 1. assign V597683 = V216623 - 1. assign V014299 = V201103 - 1. assign V666996 = V878390 + 1. assign V956279 = V204086 + 1. assign V065686 = V956279. assign V804162 = V920340. assign V989530 = V201103 + 1. assign V455574 = V123051. assign V255031 = V164423. assign V176504 = V024413 + 1. assign V529256 = V920340 - 1. assign V133929 = V834042 - 1. assign V356001 = V562836. assign V682059 = V637858 - 1. assign V709122 = V477391. assign V518948 = V529256. assign V991832 = V970459 + 1. assign V833056 = V896939. assign V878390 = V186199. assign V207631 = V162435 + 1. assign V158735 = V834042. assign V933070 = V273249 - 1. assign V423220 = V920340 - 1. assign V582668 = V991832 + 1. assign V306513 = V106860. assign V375664 = V583602 - 1. assign V774415 = V933070 + 1. assign V151530 = V164143 - 1. assign V106860 = V764609 + 1. assign V471824 = V682059 + 1. assign V739400 = V878390. assign V220278 = V305837 - 1. assign V465409 = V558695. assign V464588 = V764609 + 1. assign V107965 = V069286 - 1. assign V942832 = V934987 + 1. assign V395280 = V991832. assign V231033 = V892608 - 1. assign V926356 = V970459 + 1. assign V963632 = V112591 + 1. assign V199846 = V923308 - 1. assign V454614 = V834042 - 1. assign V531434 = V923308. assign V880265 = V454614 + 1. assign V062585 = V216623. assign V135396 = V670479 + 1. assign V920340 = V892608. assign V450728 = V801429. assign V566005 = V991832 + 1. assign V625148 = V299674 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V123051 = V896939 - 1. assign V212651 = V062585 + 1. assign V201918 = V695204 + 1. assign V426921 = V216623 - 1. assign V533388 = V896939. assign V233750 = V277576 - 1. assign V726474 = V074729 + 1. assign V919330 = V924097 + 1. assign V489563 = V804162 + 1. assign V024413 = V277576 - 1. assign V536409 = V934987 - 1. assign V154173 = V745428 + 1. assign V120016 = V933070 - 1. assign V112591 = V624554. assign V969241 = V328517 - 1. assign V835324 = V277576. assign V849488 = V764609. assign V305837 = V255031. assign V134171 = V801429 + 1. assign V477391 = V695204 + 1. assign V725988 = V849488 - 1. assign V648435 = V216623 - 1. assign V871068 = V582668 + 1. assign V277576 = V892608 + 1. assign V754702 = V216623 + 1. assign V881290 = V882624. assign V576590 = V754702. assign V721739 = V277576. assign V458714 = V648435 + 1. assign V564318 = V489563 - 1. assign V390288 = V069286. assign V562836 = V970459 - 1. assign V291359 = V644006 + 1. assign V644553 = V458714 - 1. assign V110926 = V637858 - 1. assign V074729 = V896939 + 1. assign V059188 = V583602 - 1. assign V216623 = V834042 - 1. assign V644006 = V255031 - 1. assign V383112 = V454614. assign V047454 = V368372 + 1. assign V452206 = V133929. assign V624554 = V088755 + 1. assign V896939 = V216623 + 1. assign V695204 = V216623. assign V195580 = V892608 + 1. assign V996359 = V216623. assign V807028 = V183374 - 1. assign V584498 = V317667 - 1. assign V299674 = V074729 - 1. assign V362550 = V456151. assign V670479 = V560367 + 1. assign V588644 = V454135. assign V088755 = V477391. assign V204086 = V062585 + 1. assign V456151 = V004732 - 1. assign V970459 = V996359 + 1. assign V541550 = V133929 + 1. assign V029262 = V764609. assign V882624 = V216623 - 1. assign V069286 = V648435. assign V474577 = V315023 + 1. assign V723187 = V195580 - 1. assign V764609 = V273249 - 1. assign V977131 = V625148 + 1. assign V210181 = V133929 - 1. assign V317667 = V195580. assign V684320 = V238746. assign V818261 = V554006 + 1. assign V826053 = V560367. assign V671873 = V923308 - 1. assign V924097 = 3. assign V162435 = V988595 - 1. assign V557358 = V395280 - 1. assign V238746 = V834042. assign V929839 = V106860 + 1. assign V790520 = V207631 - 1. assign V164143 = V923308. assign V923308 = V216623 + 1. assign V096044 = V529256 + 1. assign V892608 = V896939 - 1. assign V273249 = V896939 + 1. assign V636076 = V926356 - 1. assign V004732 = V804162 - 1. assign V152638 = V834042 - 1. assign V183374 = V390288 + 1. assign V902954 = V273249 + 1. assign V789256 = V456151 - 1. assign V442009 = V106860 + 1. assign V898300 = V452206 + 1. assign V594543 = V684320. assign V543896 = V151530. assign V801429 = V162435 + 1. assign V110125 = V207631 + 1. assign V622438 = V834042 - 1. assign V454135 = V204086. assign V554006 = V152638. assign V328517 = V892608. assign V342911 = V871068. assign V868824 = V195580. assign V745428 = V273249 + 1. assign V786974 = V458714. assign V174179 = V582668 - 1. assign V315023 = V644006 + 1. assign V368372 = V201918 + 1. assign V988595 = V062585 - 1. assign V363123 = V383112 + 1. assign V560367 = V238746 - 1. assign V186199 = V923308 + 1. assign V177724 = V882624 - 1. assign V583602 = V562836 - 1. assign V201103 = V273249. assign V350122 = V174179. assign V637858 = V695204. assign V770539 = V583602. assign V837659 = V902954. assign V416430 = V162435 + 1. assign V164423 = V996359 - 1. assign V558695 = V833056 - 1. assign V239329 = V134171 - 1. assign V956759 = V317667 - 1. assign V934987 = V273249 + 1. assign V597683 = V216623 - 1. assign V014299 = V201103 - 1. assign V666996 = V878390 + 1. assign V956279 = V204086 + 1. assign V065686 = V956279. assign V804162 = V920340. assign V989530 = V201103 + 1. assign V455574 = V123051. assign V255031 = V164423. assign V176504 = V024413 + 1. assign V529256 = V920340 - 1. assign V133929 = V834042 - 1. assign V356001 = V562836. assign V682059 = V637858 - 1. assign V709122 = V477391. assign V518948 = V529256. assign V991832 = V970459 + 1. assign V833056 = V896939. assign V878390 = V186199. assign V207631 = V162435 + 1. assign V158735 = V834042. assign V933070 = V273249 - 1. assign V423220 = V920340 - 1. assign V582668 = V991832 + 1. assign V306513 = V106860. assign V375664 = V583602 - 1. assign V774415 = V933070 + 1. assign V151530 = V164143 - 1. assign V106860 = V764609 + 1. assign V471824 = V682059 + 1. assign V739400 = V878390. assign V220278 = V305837 - 1. assign V465409 = V558695. assign V464588 = V764609 + 1. assign V107965 = V069286 - 1. assign V942832 = V934987 + 1. assign V395280 = V991832. assign V231033 = V892608 - 1. assign V926356 = V970459 + 1. assign V963632 = V112591 + 1. assign V199846 = V923308 - 1. assign V454614 = V834042 - 1. assign V531434 = V923308. assign V880265 = V454614 + 1. assign V062585 = V216623. assign V135396 = V670479 + 1. assign V920340 = V892608. assign V450728 = V801429. assign V566005 = V991832 + 1. assign V625148 = V299674 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV924097 = 3;\n\nFrom these direct assignment(s), we have: \nV919330 = V924097 + 1 = 3 + 1 =4;\nNo other variables can be derived from V919330;\nNo other variables can be derived from V924097;\n\nNow we have done all the calculations. Derived variables are:\nV924097 = 3;\nV919330 = 4;\n\nNow we have finished this problem. ANSWER:\nV919330\n", "role": "assistant" } ]

[ "V248002", "V033189" ]

[ { "content": "<context>\nassign V001353 = V701543 - 1. assign V934461 = V786845 + 1. assign V928202 = V773302 + 1. assign V153111 = V070928. assign V786845 = V644642 - 1. assign V536967 = V542733 - 1. assign V949225 = V859610. assign V468349 = V834931 - 1. assign V854764 = V541011 - 1. assign V395466 = V468750. assign V182324 = V023504 - 1. assign V874210 = V681531. assign V882673 = V718291. assign V583759 = V143880 + 1. assign V567455 = V958368 - 1. assign V064968 = V537367 + 1. assign V756495 = V947292 - 1. assign V846623 = V117583. assign V834931 = V891756 - 1. assign V494338 = V407319. assign V363296 = V642331 - 1. assign V179782 = V587023 + 1. assign V232594 = V097417. assign V331953 = V591170 + 1. assign V441665 = V117583. assign V317341 = V868408 - 1. assign V916089 = V928826. assign V873505 = V450781. assign V970509 = V786026 + 1. assign V143213 = V874684 + 1. assign V792531 = V786026. assign V007618 = V317341. assign V701543 = V629006 - 1. assign V097417 = V537367 + 1. assign V247678 = V268497 - 1. assign V456964 = V445255 + 1. assign V137328 = V959290. assign V407319 = V104495 + 1. assign V680986 = V786845 + 1. assign V883645 = V450781 - 1. assign V839460 = V537367 + 1. assign V913761 = V238838. assign V715007 = V537367 + 1. assign V154399 = V393599 - 1. assign V469575 = V970509 + 1. assign V675921 = V143213. assign V130830 = V113157 - 1. assign V124560 = V450781 - 1. assign V183570 = V143213 - 1. assign V038062 = V958368 + 1. assign V209009 = V891756 - 1. assign V777117 = V934461 - 1. assign V973698 = V456964 - 1. assign V445255 = V642331 + 1. assign V115928 = V602126 + 1. assign V910788 = V104495 - 1. assign V999752 = V718291 + 1. assign V595228 = V587023 - 1. assign V920541 = V934461 + 1. assign V406771 = V468750. assign V859610 = V934461 + 1. assign V681531 = V536986. assign V587023 = V079308 - 1. assign V514482 = V704862 - 1. assign V380930 = V786845 - 1. assign V874684 = V271611. assign V070928 = V079308 - 1. assign V591170 = V786026 - 1. assign V275455 = V629006. assign V628749 = V113157 + 1. assign V541011 = V786845 + 1. assign V322841 = V249550 + 1. assign V662606 = V598602 - 1. assign V421884 = V204884. assign V224663 = V949225 + 1. assign V700869 = V537367. assign V003846 = V223954 + 1. assign V573170 = V817096 + 1. assign V393599 = V179782 - 1. assign V249550 = V628749 + 1. assign V704862 = V602126 + 1. assign V567488 = V408369. assign V718291 = V268497 - 1. assign V850462 = V773302. assign V252301 = V441665 - 1. assign V127620 = V899544. assign V361056 = V117583 + 1. assign V750208 = V380930. assign V288478 = V449854 + 1. assign V323905 = V786845 + 1. assign V819470 = V750208. assign V238838 = V536986 + 1. assign V784179 = V587023. assign V524844 = V868408. assign V271611 = V445255. assign V992542 = V701543. assign V958368 = V602126 - 1. assign V602984 = V038062. assign V891756 = V179782. assign V857455 = V524844 - 1. assign V949356 = V456964. assign V959587 = V629006. assign V805653 = V970509. assign V786026 = V786845 - 1. assign V567173 = V006395 - 1. assign V468750 = V920541. assign V948003 = V910788. assign V104495 = V113157. assign V033189 = V248002. assign V351353 = V675921 + 1. assign V598602 = V115928. assign V636517 = V268497. assign V642331 = V079308. assign V959290 = V323905 - 1. assign V899544 = V445255 + 1. assign V273933 = V023504 + 1. assign V808649 = V573170 - 1. assign V117583 = V786845 + 1. assign V313128 = V854764. assign V536986 = V642331 - 1. assign V958403 = V153111 + 1. assign V756421 = V079308 + 1. assign V268497 = V792531 + 1. assign V023504 = V070928 - 1. assign V542733 = V934461. assign V496555 = V786845 - 1. assign V801945 = V271611 - 1. assign V400621 = V421884 - 1. assign V602126 = V361056. assign V223954 = V541011. assign V248002 = 5. assign V435583 = V153111. assign V006395 = V681531 + 1. assign V918332 = V097417 - 1. assign V889664 = V445255. assign V093348 = V959290 + 1. assign V785236 = V636517 + 1. assign V584519 = V949356. assign V817096 = V602126 - 1. assign V217202 = V006395 - 1. assign V408369 = V380930. assign V629006 = V541011 - 1. assign V456632 = V602984. assign V664111 = V786845 + 1. assign V947714 = V438275. assign V805518 = V113157 - 1. assign V113157 = V070928 + 1. assign V450781 = V854764 - 1. assign V676582 = V363296 + 1. assign V204884 = V587023 - 1. assign V574444 = V154399 - 1. assign V452681 = V846623. assign V178830 = V223954. assign V552288 = V868408 + 1. assign V931634 = V537367 - 1. assign V928826 = V644642 + 1. assign V301447 = V435583. assign V645246 = V232594 + 1. assign V868408 = V542733. assign V198900 = V636517 - 1. assign V606924 = V113157 + 1. assign V733383 = V934461 + 1. assign V449854 = V198900 + 1. assign V773302 = V023504 - 1. assign V947292 = V154399 + 1. assign V156244 = V395466 + 1. assign V886114 = V675921 - 1. assign V438275 = V070928 - 1. assign V143880 = V441665 - 1. assign V868881 = V928826 - 1. assign V079308 = V644642. assign V537367 = V602126.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V001353 = V701543 - 1. assign V934461 = V786845 + 1. assign V928202 = V773302 + 1. assign V153111 = V070928. assign V786845 = V644642 - 1. assign V536967 = V542733 - 1. assign V949225 = V859610. assign V468349 = V834931 - 1. assign V854764 = V541011 - 1. assign V395466 = V468750. assign V182324 = V023504 - 1. assign V874210 = V681531. assign V882673 = V718291. assign V583759 = V143880 + 1. assign V567455 = V958368 - 1. assign V064968 = V537367 + 1. assign V756495 = V947292 - 1. assign V846623 = V117583. assign V834931 = V891756 - 1. assign V494338 = V407319. assign V363296 = V642331 - 1. assign V179782 = V587023 + 1. assign V232594 = V097417. assign V331953 = V591170 + 1. assign V441665 = V117583. assign V317341 = V868408 - 1. assign V916089 = V928826. assign V873505 = V450781. assign V970509 = V786026 + 1. assign V143213 = V874684 + 1. assign V792531 = V786026. assign V007618 = V317341. assign V701543 = V629006 - 1. assign V097417 = V537367 + 1. assign V247678 = V268497 - 1. assign V456964 = V445255 + 1. assign V137328 = V959290. assign V407319 = V104495 + 1. assign V680986 = V786845 + 1. assign V883645 = V450781 - 1. assign V839460 = V537367 + 1. assign V913761 = V238838. assign V715007 = V537367 + 1. assign V154399 = V393599 - 1. assign V469575 = V970509 + 1. assign V675921 = V143213. assign V130830 = V113157 - 1. assign V124560 = V450781 - 1. assign V183570 = V143213 - 1. assign V038062 = V958368 + 1. assign V209009 = V891756 - 1. assign V777117 = V934461 - 1. assign V973698 = V456964 - 1. assign V445255 = V642331 + 1. assign V115928 = V602126 + 1. assign V910788 = V104495 - 1. assign V999752 = V718291 + 1. assign V595228 = V587023 - 1. assign V920541 = V934461 + 1. assign V406771 = V468750. assign V859610 = V934461 + 1. assign V681531 = V536986. assign V587023 = V079308 - 1. assign V514482 = V704862 - 1. assign V380930 = V786845 - 1. assign V874684 = V271611. assign V070928 = V079308 - 1. assign V591170 = V786026 - 1. assign V275455 = V629006. assign V628749 = V113157 + 1. assign V541011 = V786845 + 1. assign V322841 = V249550 + 1. assign V662606 = V598602 - 1. assign V421884 = V204884. assign V224663 = V949225 + 1. assign V700869 = V537367. assign V003846 = V223954 + 1. assign V573170 = V817096 + 1. assign V393599 = V179782 - 1. assign V249550 = V628749 + 1. assign V704862 = V602126 + 1. assign V567488 = V408369. assign V718291 = V268497 - 1. assign V850462 = V773302. assign V252301 = V441665 - 1. assign V127620 = V899544. assign V361056 = V117583 + 1. assign V750208 = V380930. assign V288478 = V449854 + 1. assign V323905 = V786845 + 1. assign V819470 = V750208. assign V238838 = V536986 + 1. assign V784179 = V587023. assign V524844 = V868408. assign V271611 = V445255. assign V992542 = V701543. assign V958368 = V602126 - 1. assign V602984 = V038062. assign V891756 = V179782. assign V857455 = V524844 - 1. assign V949356 = V456964. assign V959587 = V629006. assign V805653 = V970509. assign V786026 = V786845 - 1. assign V567173 = V006395 - 1. assign V468750 = V920541. assign V948003 = V910788. assign V104495 = V113157. assign V033189 = V248002. assign V351353 = V675921 + 1. assign V598602 = V115928. assign V636517 = V268497. assign V642331 = V079308. assign V959290 = V323905 - 1. assign V899544 = V445255 + 1. assign V273933 = V023504 + 1. assign V808649 = V573170 - 1. assign V117583 = V786845 + 1. assign V313128 = V854764. assign V536986 = V642331 - 1. assign V958403 = V153111 + 1. assign V756421 = V079308 + 1. assign V268497 = V792531 + 1. assign V023504 = V070928 - 1. assign V542733 = V934461. assign V496555 = V786845 - 1. assign V801945 = V271611 - 1. assign V400621 = V421884 - 1. assign V602126 = V361056. assign V223954 = V541011. assign V248002 = 5. assign V435583 = V153111. assign V006395 = V681531 + 1. assign V918332 = V097417 - 1. assign V889664 = V445255. assign V093348 = V959290 + 1. assign V785236 = V636517 + 1. assign V584519 = V949356. assign V817096 = V602126 - 1. assign V217202 = V006395 - 1. assign V408369 = V380930. assign V629006 = V541011 - 1. assign V456632 = V602984. assign V664111 = V786845 + 1. assign V947714 = V438275. assign V805518 = V113157 - 1. assign V113157 = V070928 + 1. assign V450781 = V854764 - 1. assign V676582 = V363296 + 1. assign V204884 = V587023 - 1. assign V574444 = V154399 - 1. assign V452681 = V846623. assign V178830 = V223954. assign V552288 = V868408 + 1. assign V931634 = V537367 - 1. assign V928826 = V644642 + 1. assign V301447 = V435583. assign V645246 = V232594 + 1. assign V868408 = V542733. assign V198900 = V636517 - 1. assign V606924 = V113157 + 1. assign V733383 = V934461 + 1. assign V449854 = V198900 + 1. assign V773302 = V023504 - 1. assign V947292 = V154399 + 1. assign V156244 = V395466 + 1. assign V886114 = V675921 - 1. assign V438275 = V070928 - 1. assign V143880 = V441665 - 1. assign V868881 = V928826 - 1. assign V079308 = V644642. assign V537367 = V602126.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV248002 = 5;\n\nFrom these direct assignment(s), we have: \nV033189 = V248002 = 5;\nNo other variables can be derived from V033189;\nNo other variables can be derived from V248002;\n\nNow we have done all the calculations. Derived variables are:\nV248002 = 5;\nV033189 = 5;\n\nNow we have finished this problem. ANSWER:\nV248002, V033189\n", "role": "assistant" } ]

[ "V010301" ]

[ { "content": "<context>\nassign V693012 = V638040 + 1. assign V028761 = V916865 + 1. assign V390817 = V275485. assign V916865 = V126959 + 1. assign V256155 = V030396 + 1. assign V779304 = V884862. assign V240811 = V996207 + 1. assign V563453 = V925808 + 1. assign V155638 = V785167 + 1. assign V987353 = V012420. assign V256729 = V390817. assign V418207 = V396291. assign V292443 = V501973 + 1. assign V697488 = V813552 + 1. assign V322175 = V884862 - 1. assign V465180 = V779304 + 1. assign V641118 = V002134 + 1. assign V979452 = V980549 + 1. assign V853494 = V532296 - 1. assign V922469 = V010301 - 1. assign V495402 = V470563 + 1. assign V661470 = V132232. assign V051455 = V591028 + 1. assign V797927 = V028761 + 1. assign V112964 = V574954 + 1. assign V303249 = V697488 - 1. assign V458240 = V292443 - 1. assign V714698 = V785167 - 1. assign V863567 = V934204 + 1. assign V018612 = V819673 - 1. assign V130262 = V102435 + 1. assign V753200 = V824974. assign V526919 = V628659 + 1. assign V092732 = V849206 + 1. assign V240390 = V369388 + 1. assign V331434 = V991457. assign V623508 = V476662. assign V149171 = V980549 - 1. assign V264749 = V039235. assign V236758 = V516910. assign V202342 = V488182 - 1. assign V168815 = V322175. assign V212746 = V361618. assign V039235 = V687493. assign V387678 = V753200. assign V022514 = V638040 + 1. assign V996207 = V779304 - 1. assign V899858 = V078704 + 1. assign V824974 = V884862 - 1. assign V480390 = V680073. assign V737506 = V853494 - 1. assign V102435 = V195504. assign V174490 = V130103 + 1. assign V016152 = V933136 - 1. assign V270452 = V399058 + 1. assign V628659 = V331369 + 1. assign V399058 = V697488 - 1. assign V902193 = V369388 - 1. assign V991457 = V975060 - 1. assign V588650 = V417907. assign V645098 = V051455 - 1. assign V349482 = V098971 - 1. assign V803522 = V419962 - 1. assign V467470 = V530542 + 1. assign V591028 = V087859. assign V785167 = V476662 - 1. assign V876198 = V987353 - 1. assign V997282 = V588650 - 1. assign V501118 = V387793 - 1. assign V361618 = V240811. assign V197499 = V779304 + 1. assign V719516 = V468240 - 1. assign V758383 = V112964 + 1. assign V334840 = V169194. assign V478400 = V980549 + 1. assign V670982 = V237646 - 1. assign V126959 = V331369 + 1. assign V263220 = V126959. assign V101075 = V051455. assign V470563 = V541289. assign V274657 = V961235 - 1. assign V541289 = V067875 - 1. assign V078704 = V680073 - 1. assign V574954 = V078704. assign V980549 = V714698. assign V130103 = V417907 + 1. assign V305736 = V417907. assign V975060 = V996207 - 1. assign V505495 = V480390 + 1. assign V501973 = V813552 - 1. assign V532296 = V275485. assign V545253 = V078704 + 1. assign V419962 = V907539 - 1. assign V387793 = V397126. assign V819673 = V588650 + 1. assign V157060 = V588650. assign V275485 = V779304 + 1. assign V264654 = V884862 - 1. assign V925808 = V012420. assign V087859 = V237646. assign V402150 = V292443 + 1. assign V675258 = V532296 - 1. assign V854264 = V987353 + 1. assign V195504 = V577458 + 1. assign V516910 = V322175. assign V725547 = V641118. assign V041551 = V854264. assign V120530 = V169194 - 1. assign V359018 = V488182 - 1. assign V237646 = V779304 - 1. assign V392439 = V264749. assign V030396 = V353758. assign V961235 = V996207. assign V090027 = V899858. assign V067875 = V397126. assign V907539 = V987353. assign V342867 = V820439 + 1. assign V687493 = V819673 - 1. assign V468240 = V819673. assign V396291 = V051455. assign V122952 = V078704. assign V353758 = V168815 - 1. assign V933136 = V078704 + 1. assign V716205 = V322175. assign V638040 = V353758 + 1. assign V373469 = V018612 + 1. assign V820439 = V075718 + 1. assign V466006 = V263220 - 1. assign V753975 = V737506 + 1. assign V577458 = V237646. assign V530542 = V092732. assign V741858 = V359018 + 1. assign V646715 = V899858 + 1. assign V476662 = V996207. assign V590049 = V996207 - 1. assign V308004 = V305736 + 1. assign V417907 = V476662 + 1. assign V010301 = 5. assign V377549 = V907539 + 1. assign V011889 = V854264 + 1. assign V901836 = V130103. assign V075718 = V322175 - 1. assign V132232 = V987353 - 1. assign V934204 = V130103 + 1. assign V486421 = V679960 + 1. assign V369388 = V996207. assign V788988 = V101075 - 1. assign V098971 = V961235. assign V397126 = V961235. assign V668423 = V051455 + 1. assign V169194 = V785167. assign V192994 = V369388 - 1. assign V680073 = V322175. assign V319170 = V697488 + 1. assign V908376 = V387793 + 1. assign V488182 = V526919. assign V002134 = V961235. assign V612103 = V628659. assign V679960 = V130262 - 1. assign V951578 = V876198. assign V616329 = V824974. assign V376619 = V240811. assign V012420 = V716205. assign V399029 = V902193. assign V710657 = V331434 - 1. assign V998611 = V975060 + 1. assign V385219 = V824974. assign V464492 = V417907 + 1. assign V331369 = V779304. assign V813552 = V716205 - 1. assign V397483 = V237646 + 1. assign V849206 = V532296 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V693012 = V638040 + 1. assign V028761 = V916865 + 1. assign V390817 = V275485. assign V916865 = V126959 + 1. assign V256155 = V030396 + 1. assign V779304 = V884862. assign V240811 = V996207 + 1. assign V563453 = V925808 + 1. assign V155638 = V785167 + 1. assign V987353 = V012420. assign V256729 = V390817. assign V418207 = V396291. assign V292443 = V501973 + 1. assign V697488 = V813552 + 1. assign V322175 = V884862 - 1. assign V465180 = V779304 + 1. assign V641118 = V002134 + 1. assign V979452 = V980549 + 1. assign V853494 = V532296 - 1. assign V922469 = V010301 - 1. assign V495402 = V470563 + 1. assign V661470 = V132232. assign V051455 = V591028 + 1. assign V797927 = V028761 + 1. assign V112964 = V574954 + 1. assign V303249 = V697488 - 1. assign V458240 = V292443 - 1. assign V714698 = V785167 - 1. assign V863567 = V934204 + 1. assign V018612 = V819673 - 1. assign V130262 = V102435 + 1. assign V753200 = V824974. assign V526919 = V628659 + 1. assign V092732 = V849206 + 1. assign V240390 = V369388 + 1. assign V331434 = V991457. assign V623508 = V476662. assign V149171 = V980549 - 1. assign V264749 = V039235. assign V236758 = V516910. assign V202342 = V488182 - 1. assign V168815 = V322175. assign V212746 = V361618. assign V039235 = V687493. assign V387678 = V753200. assign V022514 = V638040 + 1. assign V996207 = V779304 - 1. assign V899858 = V078704 + 1. assign V824974 = V884862 - 1. assign V480390 = V680073. assign V737506 = V853494 - 1. assign V102435 = V195504. assign V174490 = V130103 + 1. assign V016152 = V933136 - 1. assign V270452 = V399058 + 1. assign V628659 = V331369 + 1. assign V399058 = V697488 - 1. assign V902193 = V369388 - 1. assign V991457 = V975060 - 1. assign V588650 = V417907. assign V645098 = V051455 - 1. assign V349482 = V098971 - 1. assign V803522 = V419962 - 1. assign V467470 = V530542 + 1. assign V591028 = V087859. assign V785167 = V476662 - 1. assign V876198 = V987353 - 1. assign V997282 = V588650 - 1. assign V501118 = V387793 - 1. assign V361618 = V240811. assign V197499 = V779304 + 1. assign V719516 = V468240 - 1. assign V758383 = V112964 + 1. assign V334840 = V169194. assign V478400 = V980549 + 1. assign V670982 = V237646 - 1. assign V126959 = V331369 + 1. assign V263220 = V126959. assign V101075 = V051455. assign V470563 = V541289. assign V274657 = V961235 - 1. assign V541289 = V067875 - 1. assign V078704 = V680073 - 1. assign V574954 = V078704. assign V980549 = V714698. assign V130103 = V417907 + 1. assign V305736 = V417907. assign V975060 = V996207 - 1. assign V505495 = V480390 + 1. assign V501973 = V813552 - 1. assign V532296 = V275485. assign V545253 = V078704 + 1. assign V419962 = V907539 - 1. assign V387793 = V397126. assign V819673 = V588650 + 1. assign V157060 = V588650. assign V275485 = V779304 + 1. assign V264654 = V884862 - 1. assign V925808 = V012420. assign V087859 = V237646. assign V402150 = V292443 + 1. assign V675258 = V532296 - 1. assign V854264 = V987353 + 1. assign V195504 = V577458 + 1. assign V516910 = V322175. assign V725547 = V641118. assign V041551 = V854264. assign V120530 = V169194 - 1. assign V359018 = V488182 - 1. assign V237646 = V779304 - 1. assign V392439 = V264749. assign V030396 = V353758. assign V961235 = V996207. assign V090027 = V899858. assign V067875 = V397126. assign V907539 = V987353. assign V342867 = V820439 + 1. assign V687493 = V819673 - 1. assign V468240 = V819673. assign V396291 = V051455. assign V122952 = V078704. assign V353758 = V168815 - 1. assign V933136 = V078704 + 1. assign V716205 = V322175. assign V638040 = V353758 + 1. assign V373469 = V018612 + 1. assign V820439 = V075718 + 1. assign V466006 = V263220 - 1. assign V753975 = V737506 + 1. assign V577458 = V237646. assign V530542 = V092732. assign V741858 = V359018 + 1. assign V646715 = V899858 + 1. assign V476662 = V996207. assign V590049 = V996207 - 1. assign V308004 = V305736 + 1. assign V417907 = V476662 + 1. assign V010301 = 5. assign V377549 = V907539 + 1. assign V011889 = V854264 + 1. assign V901836 = V130103. assign V075718 = V322175 - 1. assign V132232 = V987353 - 1. assign V934204 = V130103 + 1. assign V486421 = V679960 + 1. assign V369388 = V996207. assign V788988 = V101075 - 1. assign V098971 = V961235. assign V397126 = V961235. assign V668423 = V051455 + 1. assign V169194 = V785167. assign V192994 = V369388 - 1. assign V680073 = V322175. assign V319170 = V697488 + 1. assign V908376 = V387793 + 1. assign V488182 = V526919. assign V002134 = V961235. assign V612103 = V628659. assign V679960 = V130262 - 1. assign V951578 = V876198. assign V616329 = V824974. assign V376619 = V240811. assign V012420 = V716205. assign V399029 = V902193. assign V710657 = V331434 - 1. assign V998611 = V975060 + 1. assign V385219 = V824974. assign V464492 = V417907 + 1. assign V331369 = V779304. assign V813552 = V716205 - 1. assign V397483 = V237646 + 1. assign V849206 = V532296 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV010301 = 5;\n\nFrom these direct assignment(s), we have: \nV922469 = V010301 - 1 = 5 - 1 =4;\nNo other variables can be derived from V922469;\nNo other variables can be derived from V010301;\n\nNow we have done all the calculations. Derived variables are:\nV010301 = 5;\nV922469 = 4;\n\nNow we have finished this problem. ANSWER:\nV010301\n", "role": "assistant" } ]

[ "V839198" ]

[ { "content": "<context>\nassign V934394 = V913580 - 1. assign V191455 = V839198 - 1. assign V677372 = V890005 - 1. assign V786426 = V544968 + 1. assign V481322 = V599749 - 1. assign V291318 = V019814 - 1. assign V524475 = V765153 + 1. assign V425479 = V086239. assign V927242 = V267358 - 1. assign V459039 = V636892. assign V336747 = V267358 - 1. assign V224491 = V150046 + 1. assign V839198 = 4. assign V856778 = V787028. assign V122943 = V698083. assign V278059 = V257253. assign V366017 = V600207. assign V544968 = V406841 + 1. assign V299258 = V336747 - 1. assign V808515 = V618835 + 1. assign V131784 = V474955. assign V652070 = V595553 - 1. assign V075445 = V175981. assign V520504 = V175981. assign V771953 = V596033. assign V667251 = V533306 + 1. assign V780544 = V080481 - 1. assign V867510 = V544968 + 1. assign V483864 = V829351 + 1. assign V001619 = V385788 + 1. assign V700582 = V618835. assign V469034 = V630096. assign V599749 = V474955 - 1. assign V553361 = V292037 + 1. assign V950951 = V815514. assign V792038 = V685528 - 1. assign V596033 = V019814 + 1. assign V947272 = V001619 + 1. assign V169717 = V343794 + 1. assign V636892 = V385788. assign V025961 = V001619 - 1. assign V412111 = V410915 - 1. assign V894031 = V829351 - 1. assign V600207 = V700582. assign V484800 = V795148 + 1. assign V500288 = V267358 + 1. assign V064075 = V215761 + 1. assign V680187 = V406841 - 1. assign V239324 = V278059. assign V938045 = V068366 + 1. assign V750392 = V050384 - 1. assign V711233 = V484800 + 1. assign V518648 = V156560 - 1. assign V250038 = V869707 + 1. assign V130404 = V001619. assign V861386 = V406841. assign V795148 = V267358 - 1. assign V232533 = V792038. assign V668316 = V020347 - 1. assign V788434 = V120818 - 1. assign V493171 = V326928 + 1. assign V086239 = V795148 + 1. assign V681679 = V518648 + 1. assign V938905 = V425479 + 1. assign V267358 = V765153 + 1. assign V778974 = V229341. assign V347857 = V068366 + 1. assign V251806 = V795148 + 1. assign V232385 = V267358 - 1. assign V593758 = V670831 + 1. assign V297918 = V474955 + 1. assign V685528 = V524475. assign V410915 = V618835 + 1. assign V474955 = V685528 - 1. assign V995452 = V139934 + 1. assign V624995 = V257253. assign V229341 = V909669 + 1. assign V933591 = V291318 + 1. assign V326422 = V544968. assign V017415 = V239324 - 1. assign V338561 = V175981 + 1. assign V595084 = V927242. assign V008763 = V295510 + 1. assign V205923 = V913580 - 1. assign V348423 = V964604. assign V781435 = V017415 + 1. assign V747661 = V474955. assign V829351 = V913580 + 1. assign V063746 = V856778. assign V473704 = V297918. assign V869707 = V385788. assign V378361 = V474955 + 1. assign V839675 = V205923 - 1. assign V215761 = V473704. assign V050384 = V667251 - 1. assign V257253 = V333776. assign V086106 = V348423. assign V561711 = V870096 - 1. assign V362254 = V934394. assign V399296 = V063104 + 1. assign V748154 = V750335 - 1. assign V019814 = V150046 + 1. assign V617316 = V533306 - 1. assign V068366 = V019814 - 1. assign V964604 = V474955. assign V787028 = V257253. assign V839897 = V019814 - 1. assign V939177 = V120818 - 1. assign V333776 = V150046. assign V007745 = V536870 + 1. assign V009703 = V493171 + 1. assign V544343 = V224491. assign V385788 = V524475 - 1. assign V292037 = V818294 + 1. assign V909750 = V215761. assign V120818 = V927242. assign V533306 = V333776 - 1. assign V626783 = V131784. assign V150046 = V765153 - 1. assign V285580 = V473704 - 1. assign V618835 = V232385. assign V037756 = V964604 + 1. assign V124107 = V536870 - 1. assign V890005 = V484800 + 1. assign V126730 = V595553 - 1. assign V595553 = V913580. assign V517189 = V205923 + 1. assign V914661 = V909750. assign V007629 = V175981. assign V723866 = V869707. assign V750335 = V224491 - 1. assign V406841 = V685528 + 1. assign V156560 = V533306 - 1. assign V938582 = V484800 + 1. assign V436661 = V667251 - 1. assign V366138 = V600207. assign V331093 = V008763. assign V063104 = V524475 - 1. assign V343794 = V086239 + 1. assign V384954 = V995452. assign V909669 = V001619 - 1. assign V253782 = V343794 - 1. assign V399999 = V020347. assign V283241 = V063104 - 1. assign V913580 = V618835. assign V645024 = V533306. assign V139934 = V544968. assign V725453 = V050384 + 1. assign V439208 = V890005 - 1. assign V069544 = V459039 + 1. assign V815514 = V483864 + 1. assign V175981 = V086239 - 1. assign V080481 = V617316 - 1. assign V625581 = V299258 + 1. assign V020347 = V818294. assign V326928 = V343794. assign V870096 = V927242 - 1. assign V670831 = V767385. assign V630096 = V473704 - 1. assign V295510 = V224491. assign V536870 = V927242 - 1. assign V698083 = V913580 - 1. assign V294123 = V596033 - 1. assign V818294 = V500288 + 1. assign V767385 = V894031 - 1. assign V637782 = V536870 + 1. assign V615328 = V711233 - 1. assign V961222 = V625581 + 1. assign V160762 = V068366. assign V042209 = V950951 - 1. assign V723057 = V667251 + 1. assign V840295 = V747661.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V934394 = V913580 - 1. assign V191455 = V839198 - 1. assign V677372 = V890005 - 1. assign V786426 = V544968 + 1. assign V481322 = V599749 - 1. assign V291318 = V019814 - 1. assign V524475 = V765153 + 1. assign V425479 = V086239. assign V927242 = V267358 - 1. assign V459039 = V636892. assign V336747 = V267358 - 1. assign V224491 = V150046 + 1. assign V839198 = 4. assign V856778 = V787028. assign V122943 = V698083. assign V278059 = V257253. assign V366017 = V600207. assign V544968 = V406841 + 1. assign V299258 = V336747 - 1. assign V808515 = V618835 + 1. assign V131784 = V474955. assign V652070 = V595553 - 1. assign V075445 = V175981. assign V520504 = V175981. assign V771953 = V596033. assign V667251 = V533306 + 1. assign V780544 = V080481 - 1. assign V867510 = V544968 + 1. assign V483864 = V829351 + 1. assign V001619 = V385788 + 1. assign V700582 = V618835. assign V469034 = V630096. assign V599749 = V474955 - 1. assign V553361 = V292037 + 1. assign V950951 = V815514. assign V792038 = V685528 - 1. assign V596033 = V019814 + 1. assign V947272 = V001619 + 1. assign V169717 = V343794 + 1. assign V636892 = V385788. assign V025961 = V001619 - 1. assign V412111 = V410915 - 1. assign V894031 = V829351 - 1. assign V600207 = V700582. assign V484800 = V795148 + 1. assign V500288 = V267358 + 1. assign V064075 = V215761 + 1. assign V680187 = V406841 - 1. assign V239324 = V278059. assign V938045 = V068366 + 1. assign V750392 = V050384 - 1. assign V711233 = V484800 + 1. assign V518648 = V156560 - 1. assign V250038 = V869707 + 1. assign V130404 = V001619. assign V861386 = V406841. assign V795148 = V267358 - 1. assign V232533 = V792038. assign V668316 = V020347 - 1. assign V788434 = V120818 - 1. assign V493171 = V326928 + 1. assign V086239 = V795148 + 1. assign V681679 = V518648 + 1. assign V938905 = V425479 + 1. assign V267358 = V765153 + 1. assign V778974 = V229341. assign V347857 = V068366 + 1. assign V251806 = V795148 + 1. assign V232385 = V267358 - 1. assign V593758 = V670831 + 1. assign V297918 = V474955 + 1. assign V685528 = V524475. assign V410915 = V618835 + 1. assign V474955 = V685528 - 1. assign V995452 = V139934 + 1. assign V624995 = V257253. assign V229341 = V909669 + 1. assign V933591 = V291318 + 1. assign V326422 = V544968. assign V017415 = V239324 - 1. assign V338561 = V175981 + 1. assign V595084 = V927242. assign V008763 = V295510 + 1. assign V205923 = V913580 - 1. assign V348423 = V964604. assign V781435 = V017415 + 1. assign V747661 = V474955. assign V829351 = V913580 + 1. assign V063746 = V856778. assign V473704 = V297918. assign V869707 = V385788. assign V378361 = V474955 + 1. assign V839675 = V205923 - 1. assign V215761 = V473704. assign V050384 = V667251 - 1. assign V257253 = V333776. assign V086106 = V348423. assign V561711 = V870096 - 1. assign V362254 = V934394. assign V399296 = V063104 + 1. assign V748154 = V750335 - 1. assign V019814 = V150046 + 1. assign V617316 = V533306 - 1. assign V068366 = V019814 - 1. assign V964604 = V474955. assign V787028 = V257253. assign V839897 = V019814 - 1. assign V939177 = V120818 - 1. assign V333776 = V150046. assign V007745 = V536870 + 1. assign V009703 = V493171 + 1. assign V544343 = V224491. assign V385788 = V524475 - 1. assign V292037 = V818294 + 1. assign V909750 = V215761. assign V120818 = V927242. assign V533306 = V333776 - 1. assign V626783 = V131784. assign V150046 = V765153 - 1. assign V285580 = V473704 - 1. assign V618835 = V232385. assign V037756 = V964604 + 1. assign V124107 = V536870 - 1. assign V890005 = V484800 + 1. assign V126730 = V595553 - 1. assign V595553 = V913580. assign V517189 = V205923 + 1. assign V914661 = V909750. assign V007629 = V175981. assign V723866 = V869707. assign V750335 = V224491 - 1. assign V406841 = V685528 + 1. assign V156560 = V533306 - 1. assign V938582 = V484800 + 1. assign V436661 = V667251 - 1. assign V366138 = V600207. assign V331093 = V008763. assign V063104 = V524475 - 1. assign V343794 = V086239 + 1. assign V384954 = V995452. assign V909669 = V001619 - 1. assign V253782 = V343794 - 1. assign V399999 = V020347. assign V283241 = V063104 - 1. assign V913580 = V618835. assign V645024 = V533306. assign V139934 = V544968. assign V725453 = V050384 + 1. assign V439208 = V890005 - 1. assign V069544 = V459039 + 1. assign V815514 = V483864 + 1. assign V175981 = V086239 - 1. assign V080481 = V617316 - 1. assign V625581 = V299258 + 1. assign V020347 = V818294. assign V326928 = V343794. assign V870096 = V927242 - 1. assign V670831 = V767385. assign V630096 = V473704 - 1. assign V295510 = V224491. assign V536870 = V927242 - 1. assign V698083 = V913580 - 1. assign V294123 = V596033 - 1. assign V818294 = V500288 + 1. assign V767385 = V894031 - 1. assign V637782 = V536870 + 1. assign V615328 = V711233 - 1. assign V961222 = V625581 + 1. assign V160762 = V068366. assign V042209 = V950951 - 1. assign V723057 = V667251 + 1. assign V840295 = V747661.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV839198 = 4;\n\nFrom these direct assignment(s), we have: \nV191455 = V839198 - 1 = 4 - 1 =3;\nNo other variables can be derived from V191455;\nNo other variables can be derived from V839198;\n\nNow we have done all the calculations. Derived variables are:\nV839198 = 4;\nV191455 = 3;\n\nNow we have finished this problem. ANSWER:\nV839198\n", "role": "assistant" } ]

[ "V737140", "V158176" ]

[ { "content": "<context>\nassign V249755 = V919528. assign V711244 = V830715. assign V455246 = V850523. assign V944583 = V073418 + 1. assign V457421 = V840805 + 1. assign V141675 = V538896. assign V971974 = V782040 + 1. assign V600070 = V776875 + 1. assign V008801 = V090107. assign V761936 = V977350 + 1. assign V727734 = V399201 + 1. assign V073418 = V641815 + 1. assign V184659 = V538896 - 1. assign V587366 = V346061 + 1. assign V126179 = V158444 + 1. assign V637423 = V977350 + 1. assign V167183 = V274504 - 1. assign V130135 = V364276 - 1. assign V662617 = V308704 + 1. assign V068169 = V308704. assign V246371 = V030015. assign V187231 = V919528 + 1. assign V843602 = V361251 - 1. assign V830715 = V149514. assign V306900 = V932493 - 1. assign V473591 = V323686 + 1. assign V841958 = V167183. assign V772969 = V822903 + 1. assign V277285 = V361251. assign V007648 = V090107. assign V855720 = V158444 - 1. assign V742373 = V525775 + 1. assign V038233 = V866483. assign V499868 = V436368. assign V844348 = V047550 - 1. assign V698596 = V727734 + 1. assign V466081 = V308704 - 1. assign V583112 = V269370 - 1. assign V766776 = V276832. assign V246402 = V840805 - 1. assign V346061 = V822903 + 1. assign V822903 = V167183. assign V274504 = V030015. assign V361251 = V308704 - 1. assign V557015 = V308704 - 1. assign V612791 = V204887 - 1. assign V047550 = V799706 + 1. assign V231977 = V222326 - 1. assign V518694 = V361251. assign V550724 = V310009 - 1. assign V167702 = V415099 + 1. assign V479468 = V277285 + 1. assign V835894 = V361251 - 1. assign V840492 = V894057 - 1. assign V117961 = V538896 + 1. assign V735346 = V364276 + 1. assign V364276 = V641815 + 1. assign V276832 = V641815. assign V977350 = V047550. assign V415099 = V799706. assign V705151 = V070747. assign V584421 = V457421 + 1. assign V006090 = V135853. assign V214552 = V894057 + 1. assign V249675 = V457421 - 1. assign V737140 = 8. assign V849733 = V030015 - 1. assign V936388 = V776875 + 1. assign V399201 = V222326 + 1. assign V615663 = V148801 - 1. assign V663692 = V030015. assign V067010 = V274504. assign V199595 = V835894. assign V752651 = V249675 - 1. assign V583584 = V008801. assign V392833 = V711244 - 1. assign V288975 = V030015. assign V090107 = V457421. assign V086348 = V457421 - 1. assign V801090 = V583112 + 1. assign V730055 = V169176 + 1. assign V919528 = V030015. assign V059034 = V840805 - 1. assign V599390 = V246402. assign V997235 = V047550. assign V068644 = V944583 + 1. assign V842109 = V584421 - 1. assign V095380 = V849733 + 1. assign V135853 = V772969. assign V225456 = V246371. assign V632015 = V707346. assign V538896 = V269370. assign V894057 = V919528. assign V368435 = V086348 - 1. assign V436368 = V592407 - 1. assign V969101 = V663692 + 1. assign V329164 = V061259 - 1. assign V030776 = V600070. assign V204887 = V842109. assign V049836 = V936388. assign V070747 = V277285 + 1. assign V734421 = V698596. assign V708925 = V735346 - 1. assign V707346 = V067010 + 1. assign V613934 = V766776 + 1. assign V525775 = V323686 - 1. assign V074684 = V919528 + 1. assign V455335 = V187231. assign V593139 = V399201 + 1. assign V686005 = V323686 + 1. assign V222326 = V840805 + 1. assign V799706 = V641815 + 1. assign V866483 = V070747 + 1. assign V555194 = V907816 - 1. assign V537887 = V919528. assign V876049 = V167702 + 1. assign V857835 = V977350. assign V323686 = V169176 - 1. assign V158444 = V457421. assign V850523 = V135853 - 1. assign V002716 = V538896. assign V024790 = V088652 - 1. assign V840805 = V274504 + 1. assign V310009 = V167183 - 1. assign V641815 = V274504 + 1. assign V149184 = V592407. assign V116823 = V436368 + 1. assign V061259 = V860228. assign V932493 = V473591 + 1. assign V409675 = V772969 - 1. assign V148801 = V977350 - 1. assign V408935 = V466081. assign V901922 = V600070. assign V851257 = V457421. assign V764107 = V436368 - 1. assign V679676 = V457421 + 1. assign V218649 = V436368 - 1. assign V169176 = V977350. assign V776875 = V222326. assign V841776 = V782040. assign V782040 = V849733 - 1. assign V907816 = V249675 - 1. assign V158176 = V737140. assign V604636 = V415099 + 1. assign V998004 = V047550 - 1. assign V268023 = V936388 + 1. assign V552737 = V727734 + 1. assign V171551 = V074684 + 1. assign V704397 = V479468 - 1. assign V131951 = V835894 + 1. assign V149514 = V455335 - 1. assign V423706 = V090107. assign V997333 = V641815 - 1. assign V907540 = V011167. assign V212085 = V361251. assign V823612 = V936388 + 1. assign V426280 = V047550 - 1. assign V860228 = V246402. assign V592407 = V557015 + 1. assign V616077 = V894057. assign V088652 = V086348 - 1. assign V759800 = V148801 - 1. assign V269370 = V030015. assign V528972 = V249675 - 1. assign V871134 = V231977. assign V954125 = V971974 + 1. assign V938037 = V840492. assign V308704 = V030015. assign V277624 = V919528 + 1. assign V008066 = V074684 + 1. assign V070532 = V067010. assign V011167 = V455246.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V249755 = V919528. assign V711244 = V830715. assign V455246 = V850523. assign V944583 = V073418 + 1. assign V457421 = V840805 + 1. assign V141675 = V538896. assign V971974 = V782040 + 1. assign V600070 = V776875 + 1. assign V008801 = V090107. assign V761936 = V977350 + 1. assign V727734 = V399201 + 1. assign V073418 = V641815 + 1. assign V184659 = V538896 - 1. assign V587366 = V346061 + 1. assign V126179 = V158444 + 1. assign V637423 = V977350 + 1. assign V167183 = V274504 - 1. assign V130135 = V364276 - 1. assign V662617 = V308704 + 1. assign V068169 = V308704. assign V246371 = V030015. assign V187231 = V919528 + 1. assign V843602 = V361251 - 1. assign V830715 = V149514. assign V306900 = V932493 - 1. assign V473591 = V323686 + 1. assign V841958 = V167183. assign V772969 = V822903 + 1. assign V277285 = V361251. assign V007648 = V090107. assign V855720 = V158444 - 1. assign V742373 = V525775 + 1. assign V038233 = V866483. assign V499868 = V436368. assign V844348 = V047550 - 1. assign V698596 = V727734 + 1. assign V466081 = V308704 - 1. assign V583112 = V269370 - 1. assign V766776 = V276832. assign V246402 = V840805 - 1. assign V346061 = V822903 + 1. assign V822903 = V167183. assign V274504 = V030015. assign V361251 = V308704 - 1. assign V557015 = V308704 - 1. assign V612791 = V204887 - 1. assign V047550 = V799706 + 1. assign V231977 = V222326 - 1. assign V518694 = V361251. assign V550724 = V310009 - 1. assign V167702 = V415099 + 1. assign V479468 = V277285 + 1. assign V835894 = V361251 - 1. assign V840492 = V894057 - 1. assign V117961 = V538896 + 1. assign V735346 = V364276 + 1. assign V364276 = V641815 + 1. assign V276832 = V641815. assign V977350 = V047550. assign V415099 = V799706. assign V705151 = V070747. assign V584421 = V457421 + 1. assign V006090 = V135853. assign V214552 = V894057 + 1. assign V249675 = V457421 - 1. assign V737140 = 8. assign V849733 = V030015 - 1. assign V936388 = V776875 + 1. assign V399201 = V222326 + 1. assign V615663 = V148801 - 1. assign V663692 = V030015. assign V067010 = V274504. assign V199595 = V835894. assign V752651 = V249675 - 1. assign V583584 = V008801. assign V392833 = V711244 - 1. assign V288975 = V030015. assign V090107 = V457421. assign V086348 = V457421 - 1. assign V801090 = V583112 + 1. assign V730055 = V169176 + 1. assign V919528 = V030015. assign V059034 = V840805 - 1. assign V599390 = V246402. assign V997235 = V047550. assign V068644 = V944583 + 1. assign V842109 = V584421 - 1. assign V095380 = V849733 + 1. assign V135853 = V772969. assign V225456 = V246371. assign V632015 = V707346. assign V538896 = V269370. assign V894057 = V919528. assign V368435 = V086348 - 1. assign V436368 = V592407 - 1. assign V969101 = V663692 + 1. assign V329164 = V061259 - 1. assign V030776 = V600070. assign V204887 = V842109. assign V049836 = V936388. assign V070747 = V277285 + 1. assign V734421 = V698596. assign V708925 = V735346 - 1. assign V707346 = V067010 + 1. assign V613934 = V766776 + 1. assign V525775 = V323686 - 1. assign V074684 = V919528 + 1. assign V455335 = V187231. assign V593139 = V399201 + 1. assign V686005 = V323686 + 1. assign V222326 = V840805 + 1. assign V799706 = V641815 + 1. assign V866483 = V070747 + 1. assign V555194 = V907816 - 1. assign V537887 = V919528. assign V876049 = V167702 + 1. assign V857835 = V977350. assign V323686 = V169176 - 1. assign V158444 = V457421. assign V850523 = V135853 - 1. assign V002716 = V538896. assign V024790 = V088652 - 1. assign V840805 = V274504 + 1. assign V310009 = V167183 - 1. assign V641815 = V274504 + 1. assign V149184 = V592407. assign V116823 = V436368 + 1. assign V061259 = V860228. assign V932493 = V473591 + 1. assign V409675 = V772969 - 1. assign V148801 = V977350 - 1. assign V408935 = V466081. assign V901922 = V600070. assign V851257 = V457421. assign V764107 = V436368 - 1. assign V679676 = V457421 + 1. assign V218649 = V436368 - 1. assign V169176 = V977350. assign V776875 = V222326. assign V841776 = V782040. assign V782040 = V849733 - 1. assign V907816 = V249675 - 1. assign V158176 = V737140. assign V604636 = V415099 + 1. assign V998004 = V047550 - 1. assign V268023 = V936388 + 1. assign V552737 = V727734 + 1. assign V171551 = V074684 + 1. assign V704397 = V479468 - 1. assign V131951 = V835894 + 1. assign V149514 = V455335 - 1. assign V423706 = V090107. assign V997333 = V641815 - 1. assign V907540 = V011167. assign V212085 = V361251. assign V823612 = V936388 + 1. assign V426280 = V047550 - 1. assign V860228 = V246402. assign V592407 = V557015 + 1. assign V616077 = V894057. assign V088652 = V086348 - 1. assign V759800 = V148801 - 1. assign V269370 = V030015. assign V528972 = V249675 - 1. assign V871134 = V231977. assign V954125 = V971974 + 1. assign V938037 = V840492. assign V308704 = V030015. assign V277624 = V919528 + 1. assign V008066 = V074684 + 1. assign V070532 = V067010. assign V011167 = V455246.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV737140 = 8;\n\nFrom these direct assignment(s), we have: \nV158176 = V737140 = 8;\nNo other variables can be derived from V158176;\nNo other variables can be derived from V737140;\n\nNow we have done all the calculations. Derived variables are:\nV737140 = 8;\nV158176 = 8;\n\nNow we have finished this problem. ANSWER:\nV737140, V158176\n", "role": "assistant" } ]

[ "V994373" ]

[ { "content": "<context>\nassign V693604 = V491006. assign V841318 = V473912. assign V071782 = V642251 - 1. assign V388095 = V423048 - 1. assign V195716 = V604954 - 1. assign V594568 = V796760 + 1. assign V951034 = V078425. assign V906963 = V604954 - 1. assign V398564 = V435098. assign V491006 = V706813 + 1. assign V796760 = V105161 + 1. assign V243216 = V651389 - 1. assign V360525 = V242421 - 1. assign V297856 = V922305 - 1. assign V166280 = V901205 + 1. assign V865286 = V278772 + 1. assign V877054 = V188346. assign V280732 = V604954. assign V982932 = V278772 - 1. assign V005696 = V278772 - 1. assign V552431 = V860431. assign V943733 = V755665. assign V557420 = V704810 - 1. assign V795059 = V132916 - 1. assign V933659 = V708953 + 1. assign V254083 = V166280 - 1. assign V133772 = V626838 - 1. assign V257497 = V922305. assign V078425 = V435098. assign V439336 = V132916 - 1. assign V403824 = V643284. assign V073458 = V654359. assign V621429 = V838357 - 1. assign V253002 = V268401 - 1. assign V114822 = V105161 - 1. assign V501169 = V253002. assign V706813 = V242421 - 1. assign V704810 = V242421 - 1. assign V208449 = V435098 - 1. assign V456240 = V403824. assign V473912 = V706813. assign V319639 = V951034. assign V835804 = V398564 - 1. assign V297980 = V473908. assign V964260 = V510842. assign V609370 = V105161 - 1. assign V374645 = V922305 + 1. assign V078458 = V192262 - 1. assign V553016 = V242683. assign V730360 = V951034 - 1. assign V763184 = V073458 - 1. assign V887127 = V891700 - 1. assign V377795 = V258495. assign V778056 = V421690 + 1. assign V470281 = 10. assign V894094 = V836689. assign V188346 = V604954. assign V688203 = V022156. assign V784153 = V435098 - 1. assign V695651 = V551659 - 1. assign V932510 = V886630 + 1. assign V878347 = V297856 - 1. assign V857247 = V835804. assign V443648 = V675345 + 1. assign V551659 = V035965. assign V421690 = V651389. assign V939880 = V557420 - 1. assign V302745 = V708953. assign V604954 = V651389. assign V527903 = V643284 + 1. assign V626838 = V922305 - 1. assign V035965 = V280732 - 1. assign V957914 = V275764 + 1. assign V643284 = V877054 + 1. assign V473908 = V124843 - 1. assign V860431 = V257497. assign V849956 = V892369. assign V271922 = V774197 + 1. assign V132916 = V651389 - 1. assign V062029 = V166280 - 1. assign V654359 = V188346 - 1. assign V156828 = V824879 - 1. assign V643735 = V654359. assign V836689 = V132916 - 1. assign V896239 = V892369 - 1. assign V242421 = V922305 - 1. assign V230053 = V250218 - 1. assign V084351 = V435098 - 1. assign V708953 = V105161 - 1. assign V454212 = V398787 - 1. assign V665787 = V374645. assign V883798 = V360525. assign V799434 = V412327 + 1. assign V594855 = V473912 - 1. assign V492902 = V319639. assign V171476 = V675345 + 1. assign V250218 = V730360. assign V276353 = V297856. assign V791722 = V604954 - 1. assign V724881 = V084351. assign V398787 = V604954. assign V298173 = V171476 + 1. assign V510831 = V688203. assign V396078 = V473912. assign V118011 = V784153 + 1. assign V267926 = V964260. assign V886630 = V835804 - 1. assign V258495 = V105161. assign V998921 = V878347 - 1. assign V441174 = V891700 - 1. assign V827401 = V473912 + 1. assign V510842 = V297856 - 1. assign V996846 = V891700. assign V532627 = V243216 - 1. assign V922826 = V795059 + 1. assign V101268 = V257497. assign V020997 = V267926 - 1. assign V423048 = V922305 + 1. assign V107205 = V604954. assign V877965 = V280732 + 1. assign V880223 = V594855. assign V817381 = V435098. assign V774197 = V883798. assign V275764 = V299489 + 1. assign V994373 = V470281 + 1. assign V013312 = V376140 + 1. assign V901205 = V439336 - 1. assign V278772 = V877054. assign V185804 = V078425. assign V748325 = V604954 + 1. assign V824879 = V107205 - 1. assign V891700 = V704810 + 1. assign V268401 = V887127 - 1. assign V675345 = V133772. assign V124843 = V280732. assign V000823 = V706813 - 1. assign V560211 = V552431. assign V269260 = V022156 + 1. assign V112473 = V654359. assign V192262 = V943733. assign V299489 = V836689 - 1. assign V922305 = V421690. assign V838357 = V010661. assign V511569 = V594855 + 1. assign V985774 = V860431. assign V022156 = V257497 - 1. assign V320687 = V951034. assign V892369 = V877965 + 1. assign V293784 = V124843. assign V435519 = V267926. assign V593180 = V195716 - 1. assign V220651 = V730360 + 1. assign V105161 = V651389. assign V763150 = V022156 + 1. assign V670944 = V755665 + 1. assign V021223 = V423048 - 1. assign V488585 = V491006. assign V887715 = V073458 + 1. assign V341143 = V877965 + 1. assign V010661 = V510831 - 1. assign V758514 = V964260. assign V755665 = V035965. assign V642251 = V439336 - 1. assign V495760 = V374645. assign V412327 = V791722. assign V435098 = V280732 - 1. assign V242683 = V271922. assign V635883 = V886630. assign V657510 = V758514 - 1. assign V446723 = V360525 - 1. assign V312237 = V105161 - 1. assign V376140 = V446723.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V693604 = V491006. assign V841318 = V473912. assign V071782 = V642251 - 1. assign V388095 = V423048 - 1. assign V195716 = V604954 - 1. assign V594568 = V796760 + 1. assign V951034 = V078425. assign V906963 = V604954 - 1. assign V398564 = V435098. assign V491006 = V706813 + 1. assign V796760 = V105161 + 1. assign V243216 = V651389 - 1. assign V360525 = V242421 - 1. assign V297856 = V922305 - 1. assign V166280 = V901205 + 1. assign V865286 = V278772 + 1. assign V877054 = V188346. assign V280732 = V604954. assign V982932 = V278772 - 1. assign V005696 = V278772 - 1. assign V552431 = V860431. assign V943733 = V755665. assign V557420 = V704810 - 1. assign V795059 = V132916 - 1. assign V933659 = V708953 + 1. assign V254083 = V166280 - 1. assign V133772 = V626838 - 1. assign V257497 = V922305. assign V078425 = V435098. assign V439336 = V132916 - 1. assign V403824 = V643284. assign V073458 = V654359. assign V621429 = V838357 - 1. assign V253002 = V268401 - 1. assign V114822 = V105161 - 1. assign V501169 = V253002. assign V706813 = V242421 - 1. assign V704810 = V242421 - 1. assign V208449 = V435098 - 1. assign V456240 = V403824. assign V473912 = V706813. assign V319639 = V951034. assign V835804 = V398564 - 1. assign V297980 = V473908. assign V964260 = V510842. assign V609370 = V105161 - 1. assign V374645 = V922305 + 1. assign V078458 = V192262 - 1. assign V553016 = V242683. assign V730360 = V951034 - 1. assign V763184 = V073458 - 1. assign V887127 = V891700 - 1. assign V377795 = V258495. assign V778056 = V421690 + 1. assign V470281 = 10. assign V894094 = V836689. assign V188346 = V604954. assign V688203 = V022156. assign V784153 = V435098 - 1. assign V695651 = V551659 - 1. assign V932510 = V886630 + 1. assign V878347 = V297856 - 1. assign V857247 = V835804. assign V443648 = V675345 + 1. assign V551659 = V035965. assign V421690 = V651389. assign V939880 = V557420 - 1. assign V302745 = V708953. assign V604954 = V651389. assign V527903 = V643284 + 1. assign V626838 = V922305 - 1. assign V035965 = V280732 - 1. assign V957914 = V275764 + 1. assign V643284 = V877054 + 1. assign V473908 = V124843 - 1. assign V860431 = V257497. assign V849956 = V892369. assign V271922 = V774197 + 1. assign V132916 = V651389 - 1. assign V062029 = V166280 - 1. assign V654359 = V188346 - 1. assign V156828 = V824879 - 1. assign V643735 = V654359. assign V836689 = V132916 - 1. assign V896239 = V892369 - 1. assign V242421 = V922305 - 1. assign V230053 = V250218 - 1. assign V084351 = V435098 - 1. assign V708953 = V105161 - 1. assign V454212 = V398787 - 1. assign V665787 = V374645. assign V883798 = V360525. assign V799434 = V412327 + 1. assign V594855 = V473912 - 1. assign V492902 = V319639. assign V171476 = V675345 + 1. assign V250218 = V730360. assign V276353 = V297856. assign V791722 = V604954 - 1. assign V724881 = V084351. assign V398787 = V604954. assign V298173 = V171476 + 1. assign V510831 = V688203. assign V396078 = V473912. assign V118011 = V784153 + 1. assign V267926 = V964260. assign V886630 = V835804 - 1. assign V258495 = V105161. assign V998921 = V878347 - 1. assign V441174 = V891700 - 1. assign V827401 = V473912 + 1. assign V510842 = V297856 - 1. assign V996846 = V891700. assign V532627 = V243216 - 1. assign V922826 = V795059 + 1. assign V101268 = V257497. assign V020997 = V267926 - 1. assign V423048 = V922305 + 1. assign V107205 = V604954. assign V877965 = V280732 + 1. assign V880223 = V594855. assign V817381 = V435098. assign V774197 = V883798. assign V275764 = V299489 + 1. assign V994373 = V470281 + 1. assign V013312 = V376140 + 1. assign V901205 = V439336 - 1. assign V278772 = V877054. assign V185804 = V078425. assign V748325 = V604954 + 1. assign V824879 = V107205 - 1. assign V891700 = V704810 + 1. assign V268401 = V887127 - 1. assign V675345 = V133772. assign V124843 = V280732. assign V000823 = V706813 - 1. assign V560211 = V552431. assign V269260 = V022156 + 1. assign V112473 = V654359. assign V192262 = V943733. assign V299489 = V836689 - 1. assign V922305 = V421690. assign V838357 = V010661. assign V511569 = V594855 + 1. assign V985774 = V860431. assign V022156 = V257497 - 1. assign V320687 = V951034. assign V892369 = V877965 + 1. assign V293784 = V124843. assign V435519 = V267926. assign V593180 = V195716 - 1. assign V220651 = V730360 + 1. assign V105161 = V651389. assign V763150 = V022156 + 1. assign V670944 = V755665 + 1. assign V021223 = V423048 - 1. assign V488585 = V491006. assign V887715 = V073458 + 1. assign V341143 = V877965 + 1. assign V010661 = V510831 - 1. assign V758514 = V964260. assign V755665 = V035965. assign V642251 = V439336 - 1. assign V495760 = V374645. assign V412327 = V791722. assign V435098 = V280732 - 1. assign V242683 = V271922. assign V635883 = V886630. assign V657510 = V758514 - 1. assign V446723 = V360525 - 1. assign V312237 = V105161 - 1. assign V376140 = V446723.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV470281 = 10;\n\nFrom these direct assignment(s), we have: \nV994373 = V470281 + 1 = 10 + 1 =11;\nNo other variables can be derived from V994373;\nNo other variables can be derived from V470281;\n\nNow we have done all the calculations. Derived variables are:\nV470281 = 10;\nV994373 = 11;\n\nNow we have finished this problem. ANSWER:\nV994373\n", "role": "assistant" } ]

[ "V896247", "V396468" ]

[ { "content": "<context>\nassign V260105 = V637994 + 1. assign V024795 = V929977 - 1. assign V574234 = V615982 + 1. assign V896247 = 5. assign V714793 = V377564. assign V673879 = V225514. assign V047414 = V150184 - 1. assign V200713 = V358807 + 1. assign V969996 = V249896. assign V163974 = V815041 + 1. assign V037873 = V228225 + 1. assign V002668 = V929375 + 1. assign V400921 = V390287 - 1. assign V054360 = V414511 - 1. assign V782629 = V924183 - 1. assign V915775 = V322506 + 1. assign V410421 = V721628. assign V912513 = V050378. assign V721628 = V083441. assign V013448 = V815893. assign V577590 = V537345 + 1. assign V378658 = V487763 + 1. assign V835000 = V358807 + 1. assign V401250 = V244880. assign V279104 = V024795 - 1. assign V232943 = V745654. assign V537345 = V807883 + 1. assign V621097 = V955911. assign V198076 = V280430 + 1. assign V490030 = V631529 - 1. assign V373574 = V175945 + 1. assign V563685 = V050378. assign V714606 = V454823. assign V940191 = V803924 + 1. assign V095995 = V970907 + 1. assign V869708 = V396834 - 1. assign V807883 = V168251 + 1. assign V164742 = V062836 + 1. assign V117571 = V944489. assign V084508 = V563685. assign V528386 = V175945 + 1. assign V628787 = V815041. assign V902992 = V783198. assign V295852 = V373574. assign V323895 = V912513 + 1. assign V377564 = V597643. assign V584187 = V851821. assign V112916 = V631529 - 1. assign V500760 = V062836. assign V548997 = V940191 + 1. assign V758363 = V644721 - 1. assign V841588 = V528778 - 1. assign V142164 = V331629 - 1. assign V452657 = V970907 - 1. assign V685534 = V389320. assign V298730 = V721628 - 1. assign V426963 = V815893. assign V122254 = V013448. assign V266110 = V164742 + 1. assign V810594 = V548997 - 1. assign V060962 = V543042 - 1. assign V075565 = V323895. assign V375895 = V414511 - 1. assign V796116 = V414511 - 1. assign V244880 = V436332 + 1. assign V065216 = V721628. assign V970907 = V532410 + 1. assign V971986 = V970907. assign V523980 = V244880 - 1. assign V554414 = V050378 + 1. assign V748734 = V554414 + 1. assign V436332 = V755299 - 1. assign V741680 = V436332 + 1. assign V528628 = V548997 - 1. assign V842128 = V541500. assign V249896 = V164742 - 1. assign V815041 = V644721. assign V929375 = V331629 - 1. assign V532410 = V815893. assign V803924 = V062836 + 1. assign V484346 = V778688 - 1. assign V191265 = V670053. assign V168251 = V471575. assign V487763 = V136108. assign V689723 = V644721. assign V389320 = V924183 + 1. assign V745654 = V807825. assign V755299 = V940191 - 1. assign V879255 = V924183. assign V843221 = V628787 + 1. assign V554911 = V377564 + 1. assign V062836 = V471575 - 1. assign V807825 = V062836 - 1. assign V657323 = V266110 + 1. assign V615982 = V970907 - 1. assign V831123 = V084508 - 1. assign V476046 = V791479 + 1. assign V791257 = V741680 - 1. assign V452696 = V537345. assign V944489 = V537345 + 1. assign V227921 = V232943 - 1. assign V808714 = V929375. assign V778688 = V851821. assign V854435 = V796116 - 1. assign V736778 = V815041 - 1. assign V644721 = V013448. assign V398405 = V298730. assign V929977 = V543042. assign V752881 = V528778. assign V414511 = V644721. assign V991774 = V454823 - 1. assign V175945 = V050378 + 1. assign V419605 = V354140. assign V078642 = V597643. assign V783198 = V062836. assign V071020 = V249896. assign V488686 = V815041 + 1. assign V228225 = V500760 + 1. assign V848368 = V843221. assign V670053 = V921319 + 1. assign V396834 = V225514 + 1. assign V253777 = V075565. assign V354140 = V471575 - 1. assign V541500 = V644721 + 1. assign V358807 = V175945 + 1. assign V631529 = V843221 - 1. assign V543042 = V528778 + 1. assign V390287 = V377564. assign V799034 = V168251 - 1. assign V140417 = V810594 + 1. assign V528778 = V471575 - 1. assign V762117 = V095995. assign V924183 = V803924. assign V815893 = V062836 + 1. assign V349089 = V168251 + 1. assign V930101 = V354140. assign V387518 = V452696 - 1. assign V136108 = V887778 + 1. assign V637994 = V815893 - 1. assign V639347 = V377564. assign V887778 = V815041 + 1. assign V239929 = V597643 - 1. assign V860226 = V807825 - 1. assign V009246 = V803924 - 1. assign V921319 = V758363 + 1. assign V331629 = V500760 - 1. assign V222979 = V071020 - 1. assign V851821 = V577590. assign V317963 = V631529 + 1. assign V320116 = V842128 + 1. assign V396468 = V896247. assign V150184 = V532410 + 1. assign V050378 = V940191 - 1. assign V831546 = V295852 + 1. assign V791479 = V071020. assign V955911 = V902992 + 1. assign V236313 = V637994 + 1. assign V840274 = V075565 - 1. assign V225514 = V745654 - 1. assign V083441 = V803924. assign V126399 = V936939 + 1. assign V280430 = V929977. assign V597643 = V228225 + 1. assign V322506 = V597643. assign V936939 = V024795 - 1. assign V191582 = V912513. assign V269029 = V915775. assign V454823 = V047414 + 1. assign V663919 = V500760. assign V987083 = V902992 - 1. assign V480793 = V024795 - 1. assign V747805 = V476046 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V260105 = V637994 + 1. assign V024795 = V929977 - 1. assign V574234 = V615982 + 1. assign V896247 = 5. assign V714793 = V377564. assign V673879 = V225514. assign V047414 = V150184 - 1. assign V200713 = V358807 + 1. assign V969996 = V249896. assign V163974 = V815041 + 1. assign V037873 = V228225 + 1. assign V002668 = V929375 + 1. assign V400921 = V390287 - 1. assign V054360 = V414511 - 1. assign V782629 = V924183 - 1. assign V915775 = V322506 + 1. assign V410421 = V721628. assign V912513 = V050378. assign V721628 = V083441. assign V013448 = V815893. assign V577590 = V537345 + 1. assign V378658 = V487763 + 1. assign V835000 = V358807 + 1. assign V401250 = V244880. assign V279104 = V024795 - 1. assign V232943 = V745654. assign V537345 = V807883 + 1. assign V621097 = V955911. assign V198076 = V280430 + 1. assign V490030 = V631529 - 1. assign V373574 = V175945 + 1. assign V563685 = V050378. assign V714606 = V454823. assign V940191 = V803924 + 1. assign V095995 = V970907 + 1. assign V869708 = V396834 - 1. assign V807883 = V168251 + 1. assign V164742 = V062836 + 1. assign V117571 = V944489. assign V084508 = V563685. assign V528386 = V175945 + 1. assign V628787 = V815041. assign V902992 = V783198. assign V295852 = V373574. assign V323895 = V912513 + 1. assign V377564 = V597643. assign V584187 = V851821. assign V112916 = V631529 - 1. assign V500760 = V062836. assign V548997 = V940191 + 1. assign V758363 = V644721 - 1. assign V841588 = V528778 - 1. assign V142164 = V331629 - 1. assign V452657 = V970907 - 1. assign V685534 = V389320. assign V298730 = V721628 - 1. assign V426963 = V815893. assign V122254 = V013448. assign V266110 = V164742 + 1. assign V810594 = V548997 - 1. assign V060962 = V543042 - 1. assign V075565 = V323895. assign V375895 = V414511 - 1. assign V796116 = V414511 - 1. assign V244880 = V436332 + 1. assign V065216 = V721628. assign V970907 = V532410 + 1. assign V971986 = V970907. assign V523980 = V244880 - 1. assign V554414 = V050378 + 1. assign V748734 = V554414 + 1. assign V436332 = V755299 - 1. assign V741680 = V436332 + 1. assign V528628 = V548997 - 1. assign V842128 = V541500. assign V249896 = V164742 - 1. assign V815041 = V644721. assign V929375 = V331629 - 1. assign V532410 = V815893. assign V803924 = V062836 + 1. assign V484346 = V778688 - 1. assign V191265 = V670053. assign V168251 = V471575. assign V487763 = V136108. assign V689723 = V644721. assign V389320 = V924183 + 1. assign V745654 = V807825. assign V755299 = V940191 - 1. assign V879255 = V924183. assign V843221 = V628787 + 1. assign V554911 = V377564 + 1. assign V062836 = V471575 - 1. assign V807825 = V062836 - 1. assign V657323 = V266110 + 1. assign V615982 = V970907 - 1. assign V831123 = V084508 - 1. assign V476046 = V791479 + 1. assign V791257 = V741680 - 1. assign V452696 = V537345. assign V944489 = V537345 + 1. assign V227921 = V232943 - 1. assign V808714 = V929375. assign V778688 = V851821. assign V854435 = V796116 - 1. assign V736778 = V815041 - 1. assign V644721 = V013448. assign V398405 = V298730. assign V929977 = V543042. assign V752881 = V528778. assign V414511 = V644721. assign V991774 = V454823 - 1. assign V175945 = V050378 + 1. assign V419605 = V354140. assign V078642 = V597643. assign V783198 = V062836. assign V071020 = V249896. assign V488686 = V815041 + 1. assign V228225 = V500760 + 1. assign V848368 = V843221. assign V670053 = V921319 + 1. assign V396834 = V225514 + 1. assign V253777 = V075565. assign V354140 = V471575 - 1. assign V541500 = V644721 + 1. assign V358807 = V175945 + 1. assign V631529 = V843221 - 1. assign V543042 = V528778 + 1. assign V390287 = V377564. assign V799034 = V168251 - 1. assign V140417 = V810594 + 1. assign V528778 = V471575 - 1. assign V762117 = V095995. assign V924183 = V803924. assign V815893 = V062836 + 1. assign V349089 = V168251 + 1. assign V930101 = V354140. assign V387518 = V452696 - 1. assign V136108 = V887778 + 1. assign V637994 = V815893 - 1. assign V639347 = V377564. assign V887778 = V815041 + 1. assign V239929 = V597643 - 1. assign V860226 = V807825 - 1. assign V009246 = V803924 - 1. assign V921319 = V758363 + 1. assign V331629 = V500760 - 1. assign V222979 = V071020 - 1. assign V851821 = V577590. assign V317963 = V631529 + 1. assign V320116 = V842128 + 1. assign V396468 = V896247. assign V150184 = V532410 + 1. assign V050378 = V940191 - 1. assign V831546 = V295852 + 1. assign V791479 = V071020. assign V955911 = V902992 + 1. assign V236313 = V637994 + 1. assign V840274 = V075565 - 1. assign V225514 = V745654 - 1. assign V083441 = V803924. assign V126399 = V936939 + 1. assign V280430 = V929977. assign V597643 = V228225 + 1. assign V322506 = V597643. assign V936939 = V024795 - 1. assign V191582 = V912513. assign V269029 = V915775. assign V454823 = V047414 + 1. assign V663919 = V500760. assign V987083 = V902992 - 1. assign V480793 = V024795 - 1. assign V747805 = V476046 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV896247 = 5;\n\nFrom these direct assignment(s), we have: \nV396468 = V896247 = 5;\nNo other variables can be derived from V396468;\nNo other variables can be derived from V896247;\n\nNow we have done all the calculations. Derived variables are:\nV896247 = 5;\nV396468 = 5;\n\nNow we have finished this problem. ANSWER:\nV896247, V396468\n", "role": "assistant" } ]

[ "V222219" ]

[ { "content": "<context>\nassign V154469 = V216745 + 1. assign V924592 = V760091 + 1. assign V466877 = V911994. assign V071919 = V363909 + 1. assign V259186 = V911994. assign V332625 = V426804 + 1. assign V472807 = V929170 + 1. assign V965317 = V220105 - 1. assign V884911 = V929170 + 1. assign V022946 = V154469 + 1. assign V585670 = V391300. assign V914761 = V969193 - 1. assign V857280 = V472807 - 1. assign V637164 = V744317 - 1. assign V113096 = V889953 - 1. assign V718729 = V579334. assign V601300 = V472807 + 1. assign V363909 = V857280. assign V956581 = V030214 + 1. assign V888635 = V205226 - 1. assign V426804 = V767315. assign V776792 = V416325 + 1. assign V248543 = V892656 + 1. assign V825674 = V985637 - 1. assign V829127 = V332201. assign V030214 = V829127 - 1. assign V470319 = V569681. assign V667228 = V601300 + 1. assign V569681 = V904226 + 1. assign V969152 = V667596 - 1. assign V748241 = V472807 + 1. assign V162621 = V265602 - 1. assign V495150 = V426804 - 1. assign V025370 = V051627. assign V787153 = V485673 + 1. assign V220105 = V907178. assign V742943 = V044450. assign V304287 = V472807 - 1. assign V767315 = V662495. assign V838176 = V263796 - 1. assign V337884 = V131717. assign V131717 = V539945 + 1. assign V945037 = V650730. assign V854373 = V767315 - 1. assign V163375 = V650730. assign V555001 = V154469 + 1. assign V051627 = V969193. assign V336713 = V317133. assign V907178 = V332625. assign V100518 = V032454 + 1. assign V414780 = V913896 - 1. assign V817106 = V902683 - 1. assign V052568 = V332201 + 1. assign V058951 = V363909. assign V969193 = V911994 + 1. assign V377887 = V662495. assign V185610 = V911994. assign V579518 = V757516 + 1. assign V667596 = V929170 + 1. assign V886484 = V911994 - 1. assign V514642 = V337884 - 1. assign V548393 = V884911 + 1. assign V777899 = V555001. assign V689977 = V323251 - 1. assign V760091 = V030214 + 1. assign V300522 = V662495 - 1. assign V917943 = V377887 - 1. assign V249970 = V555912 - 1. assign V412094 = V259186 + 1. assign V624452 = V485673 - 1. assign V094853 = V965317 + 1. assign V031844 = V514642 - 1. assign V488312 = V662495 - 1. assign V062028 = V969193 - 1. assign V589140 = V829127 + 1. assign V216745 = V332201 + 1. assign V555912 = V030214 + 1. assign V325308 = V185610. assign V870680 = V106555 - 1. assign V754303 = V495150 + 1. assign V521945 = V969152 + 1. assign V337301 = V495150. assign V222219 = 5. assign V150610 = V323596 + 1. assign V265602 = V052568 + 1. assign V768057 = V524687 + 1. assign V666488 = V787953 - 1. assign V892656 = V767315. assign V485673 = V332625 + 1. assign V038046 = V662495. assign V916652 = V744317. assign V579334 = V466877 + 1. assign V043431 = V583534 + 1. assign V717887 = V472807. assign V757516 = V667596 - 1. assign V227842 = V744317. assign V995679 = V058951. assign V205345 = V742943 - 1. assign V667309 = V857280 - 1. assign V904226 = V391300. assign V273613 = V051627. assign V384204 = V829127 - 1. assign V266679 = V514642 - 1. assign V276958 = V969152 - 1. assign V889953 = V248543. assign V749497 = V689977. assign V323251 = V468672 + 1. assign V831889 = V485673. assign V391300 = V886484. assign V223029 = V031844 - 1. assign V100548 = V375514. assign V106555 = V904226 - 1. assign V513304 = V426804. assign V123074 = V391300. assign V194145 = V744317 + 1. assign V263796 = V259186. assign V583534 = V767315. assign V752587 = V089949. assign V450048 = V907178 + 1. assign V524687 = V337301 - 1. assign V734752 = V604389 - 1. assign V433090 = V222219 - 1. assign V911994 = V767315. assign V801059 = V265602. assign V337679 = V694342 - 1. assign V089949 = V466877. assign V830420 = V266679 + 1. assign V960766 = V271076 - 1. assign V929170 = V694342. assign V884341 = V757516. assign V892116 = V271076. assign V323596 = V917943. assign V876061 = V892116 + 1. assign V902683 = V904226. assign V526891 = V911994 - 1. assign V704206 = V956581 + 1. assign V627037 = V929170 + 1. assign V080868 = V787953 - 1. assign V856355 = V945037 - 1. assign V504115 = V892656 + 1. assign V317133 = V956581. assign V271076 = V929170 + 1. assign V662495 = V332201 - 1. assign V436546 = V744317. assign V875120 = V259186 + 1. assign V744317 = V787953 - 1. assign V375514 = V259186 + 1. assign V517220 = V323251 - 1. assign V195529 = V466877 + 1. assign V539945 = V650730 - 1. assign V671666 = V248543. assign V913896 = V667596 + 1. assign V466459 = V391300 + 1. assign V708033 = V163375 + 1. assign V408181 = V884911 + 1. assign V468672 = V521945 - 1. assign V787953 = V694342 - 1. assign V044450 = V426804. assign V524341 = V917943. assign V549114 = V377887. assign V456164 = V223029. assign V604389 = V929170 + 1. assign V032454 = V857280. assign V376948 = V408181 + 1. assign V985637 = V468672 - 1. assign V503591 = V777899 + 1. assign V912089 = V414780 - 1. assign V205226 = V195529 - 1. assign V949158 = V917943 + 1. assign V694342 = V662495 + 1. assign V650730 = V426804 + 1. assign V416325 = V748241.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V154469 = V216745 + 1. assign V924592 = V760091 + 1. assign V466877 = V911994. assign V071919 = V363909 + 1. assign V259186 = V911994. assign V332625 = V426804 + 1. assign V472807 = V929170 + 1. assign V965317 = V220105 - 1. assign V884911 = V929170 + 1. assign V022946 = V154469 + 1. assign V585670 = V391300. assign V914761 = V969193 - 1. assign V857280 = V472807 - 1. assign V637164 = V744317 - 1. assign V113096 = V889953 - 1. assign V718729 = V579334. assign V601300 = V472807 + 1. assign V363909 = V857280. assign V956581 = V030214 + 1. assign V888635 = V205226 - 1. assign V426804 = V767315. assign V776792 = V416325 + 1. assign V248543 = V892656 + 1. assign V825674 = V985637 - 1. assign V829127 = V332201. assign V030214 = V829127 - 1. assign V470319 = V569681. assign V667228 = V601300 + 1. assign V569681 = V904226 + 1. assign V969152 = V667596 - 1. assign V748241 = V472807 + 1. assign V162621 = V265602 - 1. assign V495150 = V426804 - 1. assign V025370 = V051627. assign V787153 = V485673 + 1. assign V220105 = V907178. assign V742943 = V044450. assign V304287 = V472807 - 1. assign V767315 = V662495. assign V838176 = V263796 - 1. assign V337884 = V131717. assign V131717 = V539945 + 1. assign V945037 = V650730. assign V854373 = V767315 - 1. assign V163375 = V650730. assign V555001 = V154469 + 1. assign V051627 = V969193. assign V336713 = V317133. assign V907178 = V332625. assign V100518 = V032454 + 1. assign V414780 = V913896 - 1. assign V817106 = V902683 - 1. assign V052568 = V332201 + 1. assign V058951 = V363909. assign V969193 = V911994 + 1. assign V377887 = V662495. assign V185610 = V911994. assign V579518 = V757516 + 1. assign V667596 = V929170 + 1. assign V886484 = V911994 - 1. assign V514642 = V337884 - 1. assign V548393 = V884911 + 1. assign V777899 = V555001. assign V689977 = V323251 - 1. assign V760091 = V030214 + 1. assign V300522 = V662495 - 1. assign V917943 = V377887 - 1. assign V249970 = V555912 - 1. assign V412094 = V259186 + 1. assign V624452 = V485673 - 1. assign V094853 = V965317 + 1. assign V031844 = V514642 - 1. assign V488312 = V662495 - 1. assign V062028 = V969193 - 1. assign V589140 = V829127 + 1. assign V216745 = V332201 + 1. assign V555912 = V030214 + 1. assign V325308 = V185610. assign V870680 = V106555 - 1. assign V754303 = V495150 + 1. assign V521945 = V969152 + 1. assign V337301 = V495150. assign V222219 = 5. assign V150610 = V323596 + 1. assign V265602 = V052568 + 1. assign V768057 = V524687 + 1. assign V666488 = V787953 - 1. assign V892656 = V767315. assign V485673 = V332625 + 1. assign V038046 = V662495. assign V916652 = V744317. assign V579334 = V466877 + 1. assign V043431 = V583534 + 1. assign V717887 = V472807. assign V757516 = V667596 - 1. assign V227842 = V744317. assign V995679 = V058951. assign V205345 = V742943 - 1. assign V667309 = V857280 - 1. assign V904226 = V391300. assign V273613 = V051627. assign V384204 = V829127 - 1. assign V266679 = V514642 - 1. assign V276958 = V969152 - 1. assign V889953 = V248543. assign V749497 = V689977. assign V323251 = V468672 + 1. assign V831889 = V485673. assign V391300 = V886484. assign V223029 = V031844 - 1. assign V100548 = V375514. assign V106555 = V904226 - 1. assign V513304 = V426804. assign V123074 = V391300. assign V194145 = V744317 + 1. assign V263796 = V259186. assign V583534 = V767315. assign V752587 = V089949. assign V450048 = V907178 + 1. assign V524687 = V337301 - 1. assign V734752 = V604389 - 1. assign V433090 = V222219 - 1. assign V911994 = V767315. assign V801059 = V265602. assign V337679 = V694342 - 1. assign V089949 = V466877. assign V830420 = V266679 + 1. assign V960766 = V271076 - 1. assign V929170 = V694342. assign V884341 = V757516. assign V892116 = V271076. assign V323596 = V917943. assign V876061 = V892116 + 1. assign V902683 = V904226. assign V526891 = V911994 - 1. assign V704206 = V956581 + 1. assign V627037 = V929170 + 1. assign V080868 = V787953 - 1. assign V856355 = V945037 - 1. assign V504115 = V892656 + 1. assign V317133 = V956581. assign V271076 = V929170 + 1. assign V662495 = V332201 - 1. assign V436546 = V744317. assign V875120 = V259186 + 1. assign V744317 = V787953 - 1. assign V375514 = V259186 + 1. assign V517220 = V323251 - 1. assign V195529 = V466877 + 1. assign V539945 = V650730 - 1. assign V671666 = V248543. assign V913896 = V667596 + 1. assign V466459 = V391300 + 1. assign V708033 = V163375 + 1. assign V408181 = V884911 + 1. assign V468672 = V521945 - 1. assign V787953 = V694342 - 1. assign V044450 = V426804. assign V524341 = V917943. assign V549114 = V377887. assign V456164 = V223029. assign V604389 = V929170 + 1. assign V032454 = V857280. assign V376948 = V408181 + 1. assign V985637 = V468672 - 1. assign V503591 = V777899 + 1. assign V912089 = V414780 - 1. assign V205226 = V195529 - 1. assign V949158 = V917943 + 1. assign V694342 = V662495 + 1. assign V650730 = V426804 + 1. assign V416325 = V748241.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV222219 = 5;\n\nFrom these direct assignment(s), we have: \nV433090 = V222219 - 1 = 5 - 1 =4;\nNo other variables can be derived from V433090;\nNo other variables can be derived from V222219;\n\nNow we have done all the calculations. Derived variables are:\nV222219 = 5;\nV433090 = 4;\n\nNow we have finished this problem. ANSWER:\nV222219\n", "role": "assistant" } ]

[ "V634505", "V741977" ]

[ { "content": "<context>\nassign V924103 = V442684. assign V730040 = V067233. assign V659001 = V499057. assign V611816 = V167331. assign V137909 = V976470 + 1. assign V697380 = V176101 + 1. assign V766106 = V558404 - 1. assign V121787 = V525670 + 1. assign V947962 = V847643 + 1. assign V225216 = V761940 - 1. assign V883735 = V426159 + 1. assign V796018 = V406712 - 1. assign V946380 = V433138 + 1. assign V291501 = V518447 + 1. assign V810979 = V680865. assign V843698 = V741339. assign V581233 = V344828 - 1. assign V060437 = V137909 + 1. assign V993781 = V504943 - 1. assign V192443 = V885201. assign V933594 = V058767. assign V052492 = V659001 + 1. assign V318166 = V347297. assign V939698 = V442684. assign V088840 = V442684 - 1. assign V176101 = V442684 + 1. assign V882091 = V659368. assign V896650 = V976470. assign V330125 = V843698 + 1. assign V757521 = V882396 - 1. assign V184896 = V259831 + 1. assign V228038 = V007912 + 1. assign V005491 = V476510 - 1. assign V259831 = V835411 + 1. assign V771937 = V678338. assign V011250 = V351942 - 1. assign V835411 = V158328 - 1. assign V789520 = V993863 + 1. assign V085573 = V361414. assign V936885 = V085573 - 1. assign V046514 = V438696 - 1. assign V212991 = V058767 + 1. assign V464399 = V843698 - 1. assign V406712 = V920452 - 1. assign V651951 = V848055 + 1. assign V600371 = V795012. assign V623618 = V252952. assign V625860 = V611816 + 1. assign V164370 = V007912 - 1. assign V470308 = V731466 - 1. assign V825947 = V652052 + 1. assign V652052 = V525670 - 1. assign V761940 = V259831. assign V002163 = V475758 - 1. assign V193866 = V430913. assign V349049 = V164370. assign V680865 = V001219 + 1. assign V924681 = V301234. assign V849522 = V993781. assign V555236 = V919225. assign V744006 = V644831 + 1. assign V067233 = V212991. assign V426159 = V212991 - 1. assign V007912 = V192443 + 1. assign V198394 = V176101. assign V301234 = V882091 + 1. assign V741977 = V634505. assign V658142 = V875799. assign V051006 = V623119 - 1. assign V949666 = V349049 + 1. assign V167331 = V885201 + 1. assign V667349 = V184896. assign V488233 = V885201 - 1. assign V344828 = V883735 - 1. assign V918995 = V771937 + 1. assign V252952 = V504943. assign V314318 = V302669 + 1. assign V628314 = V058767. assign V499057 = V167331 + 1. assign V563019 = V771937 - 1. assign V998080 = V757521 - 1. assign V670303 = V835411 - 1. assign V598762 = V849522 + 1. assign V423427 = V673419. assign V713589 = V476510 - 1. assign V466177 = V252952 + 1. assign V058767 = V885201 + 1. assign V882396 = V918995 + 1. assign V518447 = V212991. assign V584823 = V499057 + 1. assign V361414 = V778614 - 1. assign V118872 = V778614 + 1. assign V196772 = V097383 - 1. assign V476510 = V525670 + 1. assign V475758 = V623119 + 1. assign V659368 = V192443. assign V079780 = V680865. assign V795012 = V885201. assign V811427 = V259831 + 1. assign V043509 = V504943. assign V158328 = V644831 - 1. assign V729596 = V919225. assign V302669 = V184896. assign V525670 = V167331 + 1. assign V059467 = V882091 + 1. assign V242482 = V623119. assign V181829 = V920452 - 1. assign V562582 = V883735 + 1. assign V993863 = V778614 + 1. assign V292396 = V349049 - 1. assign V017553 = V673419. assign V920452 = V730568 - 1. assign V882129 = V924103 - 1. assign V936024 = V993863 + 1. assign V860583 = V673419 - 1. assign V778614 = V835411 - 1. assign V963904 = V825947 - 1. assign V561204 = V623119. assign V205641 = V963904. assign V247475 = V433138 + 1. assign V875799 = V228038 - 1. assign V805305 = V017553 + 1. assign V624232 = V488233 + 1. assign V678338 = V885201 + 1. assign V443514 = V939698. assign V172173 = V734801 - 1. assign V847643 = V526790. assign V558404 = V936885. assign V988014 = V843698 - 1. assign V122012 = V848055 - 1. assign V965579 = V652052. assign V429332 = V936024 + 1. assign V299906 = V652052. assign V741339 = V623119. assign V351942 = V192443. assign V848055 = V504943 - 1. assign V212438 = V007912. assign V504943 = V167331 - 1. assign V422504 = V623119 + 1. assign V710193 = V058767 + 1. assign V442684 = V885201 + 1. assign V430913 = V058767 - 1. assign V438696 = V291501 - 1. assign V373823 = V659368 - 1. assign V131500 = V464399. assign V673419 = V939698. assign V623119 = V885201. assign V734801 = V795012 + 1. assign V619452 = V883735. assign V881048 = V433138 + 1. assign V359481 = V778614 + 1. assign V644831 = V167331 - 1. assign V575463 = V504943 + 1. assign V102502 = V644831 + 1. assign V504398 = V351942 - 1. assign V730568 = V058767 + 1. assign V001219 = V443514 + 1. assign V919225 = V007912. assign V433138 = V058767 + 1. assign V976470 = V291501 - 1. assign V030994 = V993781 - 1. assign V800357 = V619452 + 1. assign V571913 = V811427 + 1. assign V634505 = 1. assign V731466 = V499057 - 1. assign V347297 = V002163 - 1. assign V827126 = V205641 + 1. assign V115845 = V795012 + 1. assign V097383 = V525670. assign V906581 = V766106. assign V526790 = V488233. assign V906211 = V678338.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V924103 = V442684. assign V730040 = V067233. assign V659001 = V499057. assign V611816 = V167331. assign V137909 = V976470 + 1. assign V697380 = V176101 + 1. assign V766106 = V558404 - 1. assign V121787 = V525670 + 1. assign V947962 = V847643 + 1. assign V225216 = V761940 - 1. assign V883735 = V426159 + 1. assign V796018 = V406712 - 1. assign V946380 = V433138 + 1. assign V291501 = V518447 + 1. assign V810979 = V680865. assign V843698 = V741339. assign V581233 = V344828 - 1. assign V060437 = V137909 + 1. assign V993781 = V504943 - 1. assign V192443 = V885201. assign V933594 = V058767. assign V052492 = V659001 + 1. assign V318166 = V347297. assign V939698 = V442684. assign V088840 = V442684 - 1. assign V176101 = V442684 + 1. assign V882091 = V659368. assign V896650 = V976470. assign V330125 = V843698 + 1. assign V757521 = V882396 - 1. assign V184896 = V259831 + 1. assign V228038 = V007912 + 1. assign V005491 = V476510 - 1. assign V259831 = V835411 + 1. assign V771937 = V678338. assign V011250 = V351942 - 1. assign V835411 = V158328 - 1. assign V789520 = V993863 + 1. assign V085573 = V361414. assign V936885 = V085573 - 1. assign V046514 = V438696 - 1. assign V212991 = V058767 + 1. assign V464399 = V843698 - 1. assign V406712 = V920452 - 1. assign V651951 = V848055 + 1. assign V600371 = V795012. assign V623618 = V252952. assign V625860 = V611816 + 1. assign V164370 = V007912 - 1. assign V470308 = V731466 - 1. assign V825947 = V652052 + 1. assign V652052 = V525670 - 1. assign V761940 = V259831. assign V002163 = V475758 - 1. assign V193866 = V430913. assign V349049 = V164370. assign V680865 = V001219 + 1. assign V924681 = V301234. assign V849522 = V993781. assign V555236 = V919225. assign V744006 = V644831 + 1. assign V067233 = V212991. assign V426159 = V212991 - 1. assign V007912 = V192443 + 1. assign V198394 = V176101. assign V301234 = V882091 + 1. assign V741977 = V634505. assign V658142 = V875799. assign V051006 = V623119 - 1. assign V949666 = V349049 + 1. assign V167331 = V885201 + 1. assign V667349 = V184896. assign V488233 = V885201 - 1. assign V344828 = V883735 - 1. assign V918995 = V771937 + 1. assign V252952 = V504943. assign V314318 = V302669 + 1. assign V628314 = V058767. assign V499057 = V167331 + 1. assign V563019 = V771937 - 1. assign V998080 = V757521 - 1. assign V670303 = V835411 - 1. assign V598762 = V849522 + 1. assign V423427 = V673419. assign V713589 = V476510 - 1. assign V466177 = V252952 + 1. assign V058767 = V885201 + 1. assign V882396 = V918995 + 1. assign V518447 = V212991. assign V584823 = V499057 + 1. assign V361414 = V778614 - 1. assign V118872 = V778614 + 1. assign V196772 = V097383 - 1. assign V476510 = V525670 + 1. assign V475758 = V623119 + 1. assign V659368 = V192443. assign V079780 = V680865. assign V795012 = V885201. assign V811427 = V259831 + 1. assign V043509 = V504943. assign V158328 = V644831 - 1. assign V729596 = V919225. assign V302669 = V184896. assign V525670 = V167331 + 1. assign V059467 = V882091 + 1. assign V242482 = V623119. assign V181829 = V920452 - 1. assign V562582 = V883735 + 1. assign V993863 = V778614 + 1. assign V292396 = V349049 - 1. assign V017553 = V673419. assign V920452 = V730568 - 1. assign V882129 = V924103 - 1. assign V936024 = V993863 + 1. assign V860583 = V673419 - 1. assign V778614 = V835411 - 1. assign V963904 = V825947 - 1. assign V561204 = V623119. assign V205641 = V963904. assign V247475 = V433138 + 1. assign V875799 = V228038 - 1. assign V805305 = V017553 + 1. assign V624232 = V488233 + 1. assign V678338 = V885201 + 1. assign V443514 = V939698. assign V172173 = V734801 - 1. assign V847643 = V526790. assign V558404 = V936885. assign V988014 = V843698 - 1. assign V122012 = V848055 - 1. assign V965579 = V652052. assign V429332 = V936024 + 1. assign V299906 = V652052. assign V741339 = V623119. assign V351942 = V192443. assign V848055 = V504943 - 1. assign V212438 = V007912. assign V504943 = V167331 - 1. assign V422504 = V623119 + 1. assign V710193 = V058767 + 1. assign V442684 = V885201 + 1. assign V430913 = V058767 - 1. assign V438696 = V291501 - 1. assign V373823 = V659368 - 1. assign V131500 = V464399. assign V673419 = V939698. assign V623119 = V885201. assign V734801 = V795012 + 1. assign V619452 = V883735. assign V881048 = V433138 + 1. assign V359481 = V778614 + 1. assign V644831 = V167331 - 1. assign V575463 = V504943 + 1. assign V102502 = V644831 + 1. assign V504398 = V351942 - 1. assign V730568 = V058767 + 1. assign V001219 = V443514 + 1. assign V919225 = V007912. assign V433138 = V058767 + 1. assign V976470 = V291501 - 1. assign V030994 = V993781 - 1. assign V800357 = V619452 + 1. assign V571913 = V811427 + 1. assign V634505 = 1. assign V731466 = V499057 - 1. assign V347297 = V002163 - 1. assign V827126 = V205641 + 1. assign V115845 = V795012 + 1. assign V097383 = V525670. assign V906581 = V766106. assign V526790 = V488233. assign V906211 = V678338.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV634505 = 1;\n\nFrom these direct assignment(s), we have: \nV741977 = V634505 = 1;\nNo other variables can be derived from V741977;\nNo other variables can be derived from V634505;\n\nNow we have done all the calculations. Derived variables are:\nV634505 = 1;\nV741977 = 1;\n\nNow we have finished this problem. ANSWER:\nV634505, V741977\n", "role": "assistant" } ]

[ "V024823" ]

[ { "content": "<context>\nassign V865660 = V205513. assign V347911 = V425843 - 1. assign V465287 = V331484. assign V113293 = V805647 + 1. assign V892385 = V865660. assign V464238 = V603351 - 1. assign V057364 = V999221 - 1. assign V796195 = V805647 - 1. assign V377340 = V534332 - 1. assign V795370 = V621412. assign V381241 = V903267. assign V971481 = V951239. assign V622562 = V641118 + 1. assign V909301 = V040148 - 1. assign V181319 = V322972 + 1. assign V950519 = V646493 - 1. assign V966289 = V381241 + 1. assign V276196 = V318208 + 1. assign V326784 = V503220 + 1. assign V024823 = 0. assign V122699 = V823149 - 1. assign V862197 = V566744. assign V646493 = V903267. assign V221401 = V088707 + 1. assign V509548 = V692726 + 1. assign V714929 = V128006 - 1. assign V386754 = V832103 - 1. assign V546651 = V534332 - 1. assign V644856 = V950519 - 1. assign V033587 = V978772 - 1. assign V353402 = V759845 + 1. assign V744427 = V402650 + 1. assign V197966 = V205513 + 1. assign V519727 = V646493. assign V479152 = V322972. assign V383602 = V824138. assign V241897 = V902555. assign V129250 = V031796 - 1. assign V104223 = V733905 + 1. assign V043598 = V190713 + 1. assign V237021 = V970766 - 1. assign V565319 = V430574 - 1. assign V068148 = V795370. assign V655361 = V113293 + 1. assign V589294 = V181319 - 1. assign V334926 = V033301. assign V640027 = V724110 + 1. assign V791029 = V281499 - 1. assign V027047 = V387021 - 1. assign V623108 = V281499 - 1. assign V999221 = V190713 - 1. assign V387021 = V943692 - 1. assign V934017 = V943692 - 1. assign V222090 = V353402 + 1. assign V185780 = V579763 - 1. assign V700300 = V958393 - 1. assign V464260 = V464238. assign V946664 = V950519. assign V902555 = V322972 - 1. assign V415942 = V497257 + 1. assign V026973 = V335765. assign V553636 = V068148. assign V547445 = V206211. assign V331484 = V576464 - 1. assign V237868 = V206211 + 1. assign V012116 = V519727 - 1. assign V897461 = V206211 - 1. assign V402650 = V902555. assign V318208 = V576464. assign V501795 = V553636. assign V583367 = V897461. assign V322972 = V205513 + 1. assign V978772 = V237868 + 1. assign V311661 = V640484. assign V534332 = V646493 - 1. assign V208394 = V842717 + 1. assign V962231 = V339049 - 1. assign V744023 = V318208. assign V040148 = V026973 - 1. assign V603351 = V181319. assign V881431 = V519727. assign V795351 = V377340 + 1. assign V339049 = V534332. assign V842717 = V206211 - 1. assign V782951 = V902555 + 1. assign V823149 = V221993 - 1. assign V798889 = V481525 - 1. assign V968135 = V903267. assign V910938 = V024823 - 1. assign V640484 = V481525 + 1. assign V150221 = V334926. assign V576464 = V205513 - 1. assign V088707 = V205513 - 1. assign V810150 = V222090 + 1. assign V623269 = V076632. assign V281499 = V646493 + 1. assign V400498 = V322972 + 1. assign V190713 = V903267 - 1. assign V783363 = V335765. assign V817392 = V934017. assign V641118 = V088707. assign V335765 = V387021 - 1. assign V970766 = V181319 + 1. assign V806756 = V134700 + 1. assign V206211 = V026973 + 1. assign V503220 = V461436 + 1. assign V953094 = V197966 - 1. assign V319415 = V943692. assign V424183 = V970766 + 1. assign V430574 = V205513 - 1. assign V351314 = V958393 - 1. assign V715406 = V903267 + 1. assign V700794 = V565319 + 1. assign V881146 = V497257 + 1. assign V461436 = V088707 + 1. assign V824138 = V339049 - 1. assign V621412 = V402413 + 1. assign V758352 = V040148. assign V198488 = V641118 - 1. assign V045094 = V400498. assign V940451 = V934017. assign V122984 = V430574 - 1. assign V064021 = V966289. assign V282222 = V934017 - 1. assign V526432 = V377340. assign V964964 = V806756 - 1. assign V791779 = V519727 + 1. assign V654780 = V383602. assign V849288 = V909301. assign V786543 = V276196 + 1. assign V577396 = V824138 + 1. assign V160069 = V903267. assign V924893 = V282222 + 1. assign V943692 = V197966 - 1. assign V497257 = V519727. assign V692726 = V197966 + 1. assign V832103 = V934017 + 1. assign V055526 = V943692. assign V221993 = V950519 + 1. assign V759845 = V197966 + 1. assign V089857 = V953094. assign V371030 = V160069 - 1. assign V128006 = V465287 + 1. assign V708088 = V924893 - 1. assign V777821 = V823149 + 1. assign V566744 = V805647. assign V116006 = V603351. assign V296394 = V943692 + 1. assign V693058 = V817392 - 1. assign V402413 = V190713 - 1. assign V134700 = V950519 - 1. assign V057516 = V461436 - 1. assign V958393 = V968135 - 1. assign V287784 = V806756 + 1. assign V951239 = V579763 - 1. assign V481525 = V603351 - 1. assign V549609 = V334926. assign V805647 = V903267 + 1. assign V733905 = V331484. assign V031796 = V966289 - 1. assign V283577 = V966289. assign V430223 = V640027 - 1. assign V617532 = V621412 - 1. assign V579763 = V335765 + 1. assign V033301 = V237021 + 1. assign V076632 = V381241. assign V724110 = V953094 - 1. assign V205513 = V903267 + 1. assign V015418 = V281499 - 1. assign V575778 = V795370 + 1. assign V777453 = V744023. assign V425843 = V958393 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V865660 = V205513. assign V347911 = V425843 - 1. assign V465287 = V331484. assign V113293 = V805647 + 1. assign V892385 = V865660. assign V464238 = V603351 - 1. assign V057364 = V999221 - 1. assign V796195 = V805647 - 1. assign V377340 = V534332 - 1. assign V795370 = V621412. assign V381241 = V903267. assign V971481 = V951239. assign V622562 = V641118 + 1. assign V909301 = V040148 - 1. assign V181319 = V322972 + 1. assign V950519 = V646493 - 1. assign V966289 = V381241 + 1. assign V276196 = V318208 + 1. assign V326784 = V503220 + 1. assign V024823 = 0. assign V122699 = V823149 - 1. assign V862197 = V566744. assign V646493 = V903267. assign V221401 = V088707 + 1. assign V509548 = V692726 + 1. assign V714929 = V128006 - 1. assign V386754 = V832103 - 1. assign V546651 = V534332 - 1. assign V644856 = V950519 - 1. assign V033587 = V978772 - 1. assign V353402 = V759845 + 1. assign V744427 = V402650 + 1. assign V197966 = V205513 + 1. assign V519727 = V646493. assign V479152 = V322972. assign V383602 = V824138. assign V241897 = V902555. assign V129250 = V031796 - 1. assign V104223 = V733905 + 1. assign V043598 = V190713 + 1. assign V237021 = V970766 - 1. assign V565319 = V430574 - 1. assign V068148 = V795370. assign V655361 = V113293 + 1. assign V589294 = V181319 - 1. assign V334926 = V033301. assign V640027 = V724110 + 1. assign V791029 = V281499 - 1. assign V027047 = V387021 - 1. assign V623108 = V281499 - 1. assign V999221 = V190713 - 1. assign V387021 = V943692 - 1. assign V934017 = V943692 - 1. assign V222090 = V353402 + 1. assign V185780 = V579763 - 1. assign V700300 = V958393 - 1. assign V464260 = V464238. assign V946664 = V950519. assign V902555 = V322972 - 1. assign V415942 = V497257 + 1. assign V026973 = V335765. assign V553636 = V068148. assign V547445 = V206211. assign V331484 = V576464 - 1. assign V237868 = V206211 + 1. assign V012116 = V519727 - 1. assign V897461 = V206211 - 1. assign V402650 = V902555. assign V318208 = V576464. assign V501795 = V553636. assign V583367 = V897461. assign V322972 = V205513 + 1. assign V978772 = V237868 + 1. assign V311661 = V640484. assign V534332 = V646493 - 1. assign V208394 = V842717 + 1. assign V962231 = V339049 - 1. assign V744023 = V318208. assign V040148 = V026973 - 1. assign V603351 = V181319. assign V881431 = V519727. assign V795351 = V377340 + 1. assign V339049 = V534332. assign V842717 = V206211 - 1. assign V782951 = V902555 + 1. assign V823149 = V221993 - 1. assign V798889 = V481525 - 1. assign V968135 = V903267. assign V910938 = V024823 - 1. assign V640484 = V481525 + 1. assign V150221 = V334926. assign V576464 = V205513 - 1. assign V088707 = V205513 - 1. assign V810150 = V222090 + 1. assign V623269 = V076632. assign V281499 = V646493 + 1. assign V400498 = V322972 + 1. assign V190713 = V903267 - 1. assign V783363 = V335765. assign V817392 = V934017. assign V641118 = V088707. assign V335765 = V387021 - 1. assign V970766 = V181319 + 1. assign V806756 = V134700 + 1. assign V206211 = V026973 + 1. assign V503220 = V461436 + 1. assign V953094 = V197966 - 1. assign V319415 = V943692. assign V424183 = V970766 + 1. assign V430574 = V205513 - 1. assign V351314 = V958393 - 1. assign V715406 = V903267 + 1. assign V700794 = V565319 + 1. assign V881146 = V497257 + 1. assign V461436 = V088707 + 1. assign V824138 = V339049 - 1. assign V621412 = V402413 + 1. assign V758352 = V040148. assign V198488 = V641118 - 1. assign V045094 = V400498. assign V940451 = V934017. assign V122984 = V430574 - 1. assign V064021 = V966289. assign V282222 = V934017 - 1. assign V526432 = V377340. assign V964964 = V806756 - 1. assign V791779 = V519727 + 1. assign V654780 = V383602. assign V849288 = V909301. assign V786543 = V276196 + 1. assign V577396 = V824138 + 1. assign V160069 = V903267. assign V924893 = V282222 + 1. assign V943692 = V197966 - 1. assign V497257 = V519727. assign V692726 = V197966 + 1. assign V832103 = V934017 + 1. assign V055526 = V943692. assign V221993 = V950519 + 1. assign V759845 = V197966 + 1. assign V089857 = V953094. assign V371030 = V160069 - 1. assign V128006 = V465287 + 1. assign V708088 = V924893 - 1. assign V777821 = V823149 + 1. assign V566744 = V805647. assign V116006 = V603351. assign V296394 = V943692 + 1. assign V693058 = V817392 - 1. assign V402413 = V190713 - 1. assign V134700 = V950519 - 1. assign V057516 = V461436 - 1. assign V958393 = V968135 - 1. assign V287784 = V806756 + 1. assign V951239 = V579763 - 1. assign V481525 = V603351 - 1. assign V549609 = V334926. assign V805647 = V903267 + 1. assign V733905 = V331484. assign V031796 = V966289 - 1. assign V283577 = V966289. assign V430223 = V640027 - 1. assign V617532 = V621412 - 1. assign V579763 = V335765 + 1. assign V033301 = V237021 + 1. assign V076632 = V381241. assign V724110 = V953094 - 1. assign V205513 = V903267 + 1. assign V015418 = V281499 - 1. assign V575778 = V795370 + 1. assign V777453 = V744023. assign V425843 = V958393 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV024823 = 0;\n\nFrom these direct assignment(s), we have: \nV910938 = V024823 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V910938;\nNo other variables can be derived from V024823;\n\nNow we have done all the calculations. Derived variables are:\nV024823 = 0;\nV910938 = -1;\n\nNow we have finished this problem. ANSWER:\nV024823\n", "role": "assistant" } ]

[ "V456961", "V410731" ]

[ { "content": "<context>\nassign V876595 = V986660. assign V174091 = V414352. assign V055077 = V293184 - 1. assign V482175 = V395450 - 1. assign V055570 = V878476. assign V185528 = V047714 + 1. assign V941461 = V218612 - 1. assign V938470 = V314663 + 1. assign V686255 = V853689 + 1. assign V867207 = V321457 - 1. assign V045346 = V321457 - 1. assign V564300 = V361496 + 1. assign V903543 = V957641. assign V018992 = V331665 + 1. assign V725394 = V314663. assign V059420 = V018992. assign V490392 = V246451. assign V222306 = V321457 - 1. assign V321457 = V925825 - 1. assign V385032 = V361496 - 1. assign V484563 = V548633 + 1. assign V471545 = V168497 + 1. assign V616768 = V069935. assign V148267 = V424226 + 1. assign V137234 = V083370. assign V608244 = V724010. assign V157412 = V878476 - 1. assign V361231 = V085633. assign V795904 = V055077 - 1. assign V319486 = V255660. assign V456961 = 5. assign V442436 = V405308 + 1. assign V297197 = V502218 - 1. assign V477419 = V886583. assign V923764 = V361231 - 1. assign V047714 = V867207 - 1. assign V405308 = V923764 + 1. assign V151131 = V069935 - 1. assign V345319 = V615596 - 1. assign V772920 = V917635 - 1. assign V738426 = V531795 + 1. assign V708244 = V721275 - 1. assign V691320 = V957641 + 1. assign V132611 = V255280 - 1. assign V580285 = V407263. assign V005504 = V941461. assign V905865 = V917635 + 1. assign V726152 = V867207 + 1. assign V056080 = V151131. assign V986660 = V531795. assign V925825 = V168497. assign V168497 = V691320. assign V145886 = V580285 - 1. assign V875322 = V126934. assign V779445 = V297197. assign V085901 = V740270. assign V314663 = V648338 - 1. assign V195272 = V404657 - 1. assign V052497 = V190745. assign V788161 = V648338 - 1. assign V475479 = V691320 - 1. assign V669699 = V686255. assign V503716 = V740270. assign V083370 = V502218. assign V917635 = V903543. assign V652898 = V726152 + 1. assign V975350 = V482175 + 1. assign V627020 = V616768 + 1. assign V474865 = V407263 - 1. assign V368052 = V551852. assign V371120 = V903543. assign V589126 = V616768 - 1. assign V795829 = V095195 + 1. assign V404657 = V876595 + 1. assign V218612 = V562536 - 1. assign V575042 = V551852 - 1. assign V584747 = V246451 - 1. assign V294760 = V942892 + 1. assign V407263 = V724010. assign V107282 = V754697. assign V205080 = V069935 + 1. assign V502218 = V255660. assign V559731 = V255660 - 1. assign V721275 = V502218 + 1. assign V547193 = V795904 - 1. assign V691313 = V185528 - 1. assign V968333 = V564300. assign V886583 = V562536 - 1. assign V773311 = V981334. assign V845497 = V941461 + 1. assign V414352 = V648338. assign V803464 = V095195. assign V889566 = V986660. assign V726849 = V648338 - 1. assign V853689 = V941461 - 1. assign V033641 = V385032 + 1. assign V591439 = V251887. assign V641379 = V708244 - 1. assign V179058 = V957641. assign V598753 = V047714. assign V843802 = V160381 + 1. assign V268404 = V255280 - 1. assign V559093 = V531795 + 1. assign V424226 = V853689. assign V615596 = V726152 + 1. assign V255280 = V321457 + 1. assign V149142 = V321457 + 1. assign V061982 = V502218 + 1. assign V866685 = V981334 - 1. assign V702155 = V531795 - 1. assign V592298 = V721275. assign V199713 = V941461 - 1. assign V004093 = V437011 - 1. assign V719210 = V641379 - 1. assign V126934 = V845497. assign V595748 = V190745 + 1. assign V085633 = V754697 + 1. assign V160381 = V938470 + 1. assign V885486 = V754697. assign V293184 = V502218 - 1. assign V136123 = V754697 + 1. assign V942892 = V231375 + 1. assign V381338 = V477419 + 1. assign V095195 = V047714. assign V190745 = V957641. assign V331268 = V616768. assign V648338 = V564300 + 1. assign V215824 = V361231. assign V282686 = V157412. assign V246451 = V941461 + 1. assign V531795 = V562536. assign V811104 = V361231 - 1. assign V990214 = V886583 - 1. assign V878476 = V957641. assign V551852 = V126934 - 1. assign V099979 = V083370. assign V877729 = V297197 + 1. assign V402503 = V168497 + 1. assign V784016 = V813264 - 1. assign V116013 = V095195. assign V981334 = V231375 + 1. assign V331665 = V986660 + 1. assign V965446 = V938470 - 1. assign V525074 = V813264. assign V459459 = V314663. assign V740270 = V853689. assign V361496 = V255660. assign V683903 = V503716 - 1. assign V251887 = V811104 - 1. assign V820518 = V361231. assign V086559 = V548633 + 1. assign V276889 = V424226 - 1. assign V426488 = V990214 + 1. assign V776695 = V721275. assign V437011 = V754697. assign V231375 = V754697 + 1. assign V847902 = V725394 + 1. assign V410731 = V456961. assign V395450 = V179058 + 1. assign V192617 = V811104 - 1. assign V032031 = V477419. assign V754697 = V648338 + 1. assign V069935 = V255660 + 1. assign V653777 = V205080 + 1. assign V562536 = V691320 - 1. assign V984478 = V813264 + 1. assign V548633 = V190745 - 1. assign V329834 = V641379 + 1. assign V255660 = V957641 - 1. assign V813264 = V559731. assign V724010 = V878476. assign V546860 = V085633 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V876595 = V986660. assign V174091 = V414352. assign V055077 = V293184 - 1. assign V482175 = V395450 - 1. assign V055570 = V878476. assign V185528 = V047714 + 1. assign V941461 = V218612 - 1. assign V938470 = V314663 + 1. assign V686255 = V853689 + 1. assign V867207 = V321457 - 1. assign V045346 = V321457 - 1. assign V564300 = V361496 + 1. assign V903543 = V957641. assign V018992 = V331665 + 1. assign V725394 = V314663. assign V059420 = V018992. assign V490392 = V246451. assign V222306 = V321457 - 1. assign V321457 = V925825 - 1. assign V385032 = V361496 - 1. assign V484563 = V548633 + 1. assign V471545 = V168497 + 1. assign V616768 = V069935. assign V148267 = V424226 + 1. assign V137234 = V083370. assign V608244 = V724010. assign V157412 = V878476 - 1. assign V361231 = V085633. assign V795904 = V055077 - 1. assign V319486 = V255660. assign V456961 = 5. assign V442436 = V405308 + 1. assign V297197 = V502218 - 1. assign V477419 = V886583. assign V923764 = V361231 - 1. assign V047714 = V867207 - 1. assign V405308 = V923764 + 1. assign V151131 = V069935 - 1. assign V345319 = V615596 - 1. assign V772920 = V917635 - 1. assign V738426 = V531795 + 1. assign V708244 = V721275 - 1. assign V691320 = V957641 + 1. assign V132611 = V255280 - 1. assign V580285 = V407263. assign V005504 = V941461. assign V905865 = V917635 + 1. assign V726152 = V867207 + 1. assign V056080 = V151131. assign V986660 = V531795. assign V925825 = V168497. assign V168497 = V691320. assign V145886 = V580285 - 1. assign V875322 = V126934. assign V779445 = V297197. assign V085901 = V740270. assign V314663 = V648338 - 1. assign V195272 = V404657 - 1. assign V052497 = V190745. assign V788161 = V648338 - 1. assign V475479 = V691320 - 1. assign V669699 = V686255. assign V503716 = V740270. assign V083370 = V502218. assign V917635 = V903543. assign V652898 = V726152 + 1. assign V975350 = V482175 + 1. assign V627020 = V616768 + 1. assign V474865 = V407263 - 1. assign V368052 = V551852. assign V371120 = V903543. assign V589126 = V616768 - 1. assign V795829 = V095195 + 1. assign V404657 = V876595 + 1. assign V218612 = V562536 - 1. assign V575042 = V551852 - 1. assign V584747 = V246451 - 1. assign V294760 = V942892 + 1. assign V407263 = V724010. assign V107282 = V754697. assign V205080 = V069935 + 1. assign V502218 = V255660. assign V559731 = V255660 - 1. assign V721275 = V502218 + 1. assign V547193 = V795904 - 1. assign V691313 = V185528 - 1. assign V968333 = V564300. assign V886583 = V562536 - 1. assign V773311 = V981334. assign V845497 = V941461 + 1. assign V414352 = V648338. assign V803464 = V095195. assign V889566 = V986660. assign V726849 = V648338 - 1. assign V853689 = V941461 - 1. assign V033641 = V385032 + 1. assign V591439 = V251887. assign V641379 = V708244 - 1. assign V179058 = V957641. assign V598753 = V047714. assign V843802 = V160381 + 1. assign V268404 = V255280 - 1. assign V559093 = V531795 + 1. assign V424226 = V853689. assign V615596 = V726152 + 1. assign V255280 = V321457 + 1. assign V149142 = V321457 + 1. assign V061982 = V502218 + 1. assign V866685 = V981334 - 1. assign V702155 = V531795 - 1. assign V592298 = V721275. assign V199713 = V941461 - 1. assign V004093 = V437011 - 1. assign V719210 = V641379 - 1. assign V126934 = V845497. assign V595748 = V190745 + 1. assign V085633 = V754697 + 1. assign V160381 = V938470 + 1. assign V885486 = V754697. assign V293184 = V502218 - 1. assign V136123 = V754697 + 1. assign V942892 = V231375 + 1. assign V381338 = V477419 + 1. assign V095195 = V047714. assign V190745 = V957641. assign V331268 = V616768. assign V648338 = V564300 + 1. assign V215824 = V361231. assign V282686 = V157412. assign V246451 = V941461 + 1. assign V531795 = V562536. assign V811104 = V361231 - 1. assign V990214 = V886583 - 1. assign V878476 = V957641. assign V551852 = V126934 - 1. assign V099979 = V083370. assign V877729 = V297197 + 1. assign V402503 = V168497 + 1. assign V784016 = V813264 - 1. assign V116013 = V095195. assign V981334 = V231375 + 1. assign V331665 = V986660 + 1. assign V965446 = V938470 - 1. assign V525074 = V813264. assign V459459 = V314663. assign V740270 = V853689. assign V361496 = V255660. assign V683903 = V503716 - 1. assign V251887 = V811104 - 1. assign V820518 = V361231. assign V086559 = V548633 + 1. assign V276889 = V424226 - 1. assign V426488 = V990214 + 1. assign V776695 = V721275. assign V437011 = V754697. assign V231375 = V754697 + 1. assign V847902 = V725394 + 1. assign V410731 = V456961. assign V395450 = V179058 + 1. assign V192617 = V811104 - 1. assign V032031 = V477419. assign V754697 = V648338 + 1. assign V069935 = V255660 + 1. assign V653777 = V205080 + 1. assign V562536 = V691320 - 1. assign V984478 = V813264 + 1. assign V548633 = V190745 - 1. assign V329834 = V641379 + 1. assign V255660 = V957641 - 1. assign V813264 = V559731. assign V724010 = V878476. assign V546860 = V085633 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV456961 = 5;\n\nFrom these direct assignment(s), we have: \nV410731 = V456961 = 5;\nNo other variables can be derived from V410731;\nNo other variables can be derived from V456961;\n\nNow we have done all the calculations. Derived variables are:\nV456961 = 5;\nV410731 = 5;\n\nNow we have finished this problem. ANSWER:\nV456961, V410731\n", "role": "assistant" } ]

[ "V665220", "V385124" ]

[ { "content": "<context>\nassign V464857 = V174570. assign V846916 = V275461 + 1. assign V169109 = V230632 - 1. assign V248029 = V483804. assign V749312 = V102706. assign V932194 = V456477 - 1. assign V259253 = V293014. assign V345980 = V609868 - 1. assign V467228 = V120073 - 1. assign V408868 = V146420 - 1. assign V460771 = V709584 - 1. assign V556308 = V456477 - 1. assign V772292 = V174570. assign V947662 = V426733 + 1. assign V097296 = V968960 - 1. assign V676830 = V769060. assign V887683 = V673824 - 1. assign V499701 = V216412. assign V673824 = V102706. assign V844182 = V537706 - 1. assign V802005 = V458937 + 1. assign V281817 = V661502. assign V120073 = V304076. assign V108022 = V249751 - 1. assign V444262 = V102706 - 1. assign V840020 = V464857 + 1. assign V418319 = V249751 - 1. assign V962212 = V815891. assign V324114 = V302449 - 1. assign V763037 = V974607. assign V589446 = V345980 + 1. assign V879457 = V340158. assign V150126 = V763164. assign V249751 = V146420 + 1. assign V552954 = V673824 - 1. assign V805386 = V668788 + 1. assign V153663 = V721568 - 1. assign V246348 = V673824 + 1. assign V120813 = V222462 + 1. assign V609868 = V763164 + 1. assign V790233 = V349363 + 1. assign V434664 = V526546 - 1. assign V457487 = V882111. assign V915242 = V141767 - 1. assign V197800 = V668788. assign V262655 = V165643 - 1. assign V539626 = V721568 - 1. assign V410802 = V087816. assign V508619 = V434664 - 1. assign V158314 = V556897 - 1. assign V357114 = V120813. assign V505296 = V537706 + 1. assign V622448 = V769060 - 1. assign V141767 = V146420 + 1. assign V426733 = V464857. assign V483804 = V709584 + 1. assign V216412 = V034115. assign V556897 = V763164 - 1. assign V763164 = V540101 + 1. assign V815891 = V721568. assign V055351 = V375697 - 1. assign V257292 = V028285 + 1. assign V518694 = V609868 - 1. assign V003497 = V304076. assign V176367 = V257292 - 1. assign V222462 = V443030 + 1. assign V404455 = V457487. assign V897927 = V318339. assign V693954 = V141767 + 1. assign V304076 = V490117. assign V747600 = V120073. assign V793883 = V676830 - 1. assign V102706 = V537706. assign V419717 = V443030 - 1. assign V661502 = V249751 + 1. assign V288973 = V122037 - 1. assign V967368 = V034115 - 1. assign V925429 = V521057 + 1. assign V634267 = V668788 + 1. assign V104462 = V925429 + 1. assign V293014 = V257292 + 1. assign V412451 = V844182 + 1. assign V973817 = V248029 - 1. assign V595011 = V102706 - 1. assign V957177 = V846916 - 1. assign V289810 = V537706 - 1. assign V863885 = V146420 - 1. assign V936316 = V230632. assign V349363 = V721568 - 1. assign V728910 = V499701. assign V230632 = V082633. assign V057877 = V437989 + 1. assign V612998 = V197800 - 1. assign V709840 = V925429. assign V665220 = 0. assign V876424 = V521057 + 1. assign V340158 = V672969. assign V172429 = V464857 + 1. assign V065945 = V288973. assign V165643 = V865731. assign V264677 = V673824. assign V034115 = V575609 - 1. assign V813666 = V443030 + 1. assign V974607 = V673824. assign V371251 = V974607 + 1. assign V281656 = V790233 + 1. assign V734754 = V418319 + 1. assign V824789 = V936316 + 1. assign V030795 = V771395 - 1. assign V769060 = V408868. assign V865731 = V055351 + 1. assign V668788 = V125977 + 1. assign V499869 = V102706. assign V082633 = V174570 + 1. assign V708672 = V676830 - 1. assign V771395 = V772292 + 1. assign V318339 = V518694 + 1. assign V315074 = V974607 + 1. assign V174570 = V122037. assign V512512 = V289810 - 1. assign V929300 = V813666 - 1. assign V672969 = V540101 + 1. assign V122037 = V412451 - 1. assign V521057 = V668788 - 1. assign V375697 = V249751. assign V490117 = V141767. assign V853721 = V289810 + 1. assign V526546 = V968960 - 1. assign V626716 = V304076 - 1. assign V061681 = V172429. assign V071219 = V846916 - 1. assign V778756 = V693954 - 1. assign V266568 = V375697 - 1. assign V456477 = V887683. assign V709584 = V537706 + 1. assign V732277 = V840020 - 1. assign V275461 = V887683 + 1. assign V443030 = V844182. assign V343169 = V672969 - 1. assign V146420 = V125977 - 1. assign V302449 = V575609. assign V537706 = V146420. assign V202819 = V490117 - 1. assign V493597 = V174570 - 1. assign V721568 = V408868 + 1. assign V443747 = V146420 - 1. assign V273833 = V275461. assign V714046 = V873638 - 1. assign V495301 = V249751 + 1. assign V725493 = V714046 + 1. assign V028285 = V153663. assign V437989 = V108022. assign V385124 = V665220. assign V140230 = V197800 - 1. assign V575609 = V444262 - 1. assign V226929 = V172429. assign V087816 = V929300 - 1. assign V968960 = V082633. assign V501017 = V721568 - 1. assign V289701 = V936316. assign V540101 = V412451 - 1. assign V882111 = V288973 + 1. assign V311579 = V609868 - 1. assign V905089 = V526546. assign V910424 = V125977 - 1. assign V028972 = V673824 - 1. assign V348185 = V846916 - 1. assign V505725 = V815891 - 1. assign V169074 = V302449. assign V543447 = V813666 + 1. assign V458937 = V763164 - 1. assign V873638 = V813666.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V464857 = V174570. assign V846916 = V275461 + 1. assign V169109 = V230632 - 1. assign V248029 = V483804. assign V749312 = V102706. assign V932194 = V456477 - 1. assign V259253 = V293014. assign V345980 = V609868 - 1. assign V467228 = V120073 - 1. assign V408868 = V146420 - 1. assign V460771 = V709584 - 1. assign V556308 = V456477 - 1. assign V772292 = V174570. assign V947662 = V426733 + 1. assign V097296 = V968960 - 1. assign V676830 = V769060. assign V887683 = V673824 - 1. assign V499701 = V216412. assign V673824 = V102706. assign V844182 = V537706 - 1. assign V802005 = V458937 + 1. assign V281817 = V661502. assign V120073 = V304076. assign V108022 = V249751 - 1. assign V444262 = V102706 - 1. assign V840020 = V464857 + 1. assign V418319 = V249751 - 1. assign V962212 = V815891. assign V324114 = V302449 - 1. assign V763037 = V974607. assign V589446 = V345980 + 1. assign V879457 = V340158. assign V150126 = V763164. assign V249751 = V146420 + 1. assign V552954 = V673824 - 1. assign V805386 = V668788 + 1. assign V153663 = V721568 - 1. assign V246348 = V673824 + 1. assign V120813 = V222462 + 1. assign V609868 = V763164 + 1. assign V790233 = V349363 + 1. assign V434664 = V526546 - 1. assign V457487 = V882111. assign V915242 = V141767 - 1. assign V197800 = V668788. assign V262655 = V165643 - 1. assign V539626 = V721568 - 1. assign V410802 = V087816. assign V508619 = V434664 - 1. assign V158314 = V556897 - 1. assign V357114 = V120813. assign V505296 = V537706 + 1. assign V622448 = V769060 - 1. assign V141767 = V146420 + 1. assign V426733 = V464857. assign V483804 = V709584 + 1. assign V216412 = V034115. assign V556897 = V763164 - 1. assign V763164 = V540101 + 1. assign V815891 = V721568. assign V055351 = V375697 - 1. assign V257292 = V028285 + 1. assign V518694 = V609868 - 1. assign V003497 = V304076. assign V176367 = V257292 - 1. assign V222462 = V443030 + 1. assign V404455 = V457487. assign V897927 = V318339. assign V693954 = V141767 + 1. assign V304076 = V490117. assign V747600 = V120073. assign V793883 = V676830 - 1. assign V102706 = V537706. assign V419717 = V443030 - 1. assign V661502 = V249751 + 1. assign V288973 = V122037 - 1. assign V967368 = V034115 - 1. assign V925429 = V521057 + 1. assign V634267 = V668788 + 1. assign V104462 = V925429 + 1. assign V293014 = V257292 + 1. assign V412451 = V844182 + 1. assign V973817 = V248029 - 1. assign V595011 = V102706 - 1. assign V957177 = V846916 - 1. assign V289810 = V537706 - 1. assign V863885 = V146420 - 1. assign V936316 = V230632. assign V349363 = V721568 - 1. assign V728910 = V499701. assign V230632 = V082633. assign V057877 = V437989 + 1. assign V612998 = V197800 - 1. assign V709840 = V925429. assign V665220 = 0. assign V876424 = V521057 + 1. assign V340158 = V672969. assign V172429 = V464857 + 1. assign V065945 = V288973. assign V165643 = V865731. assign V264677 = V673824. assign V034115 = V575609 - 1. assign V813666 = V443030 + 1. assign V974607 = V673824. assign V371251 = V974607 + 1. assign V281656 = V790233 + 1. assign V734754 = V418319 + 1. assign V824789 = V936316 + 1. assign V030795 = V771395 - 1. assign V769060 = V408868. assign V865731 = V055351 + 1. assign V668788 = V125977 + 1. assign V499869 = V102706. assign V082633 = V174570 + 1. assign V708672 = V676830 - 1. assign V771395 = V772292 + 1. assign V318339 = V518694 + 1. assign V315074 = V974607 + 1. assign V174570 = V122037. assign V512512 = V289810 - 1. assign V929300 = V813666 - 1. assign V672969 = V540101 + 1. assign V122037 = V412451 - 1. assign V521057 = V668788 - 1. assign V375697 = V249751. assign V490117 = V141767. assign V853721 = V289810 + 1. assign V526546 = V968960 - 1. assign V626716 = V304076 - 1. assign V061681 = V172429. assign V071219 = V846916 - 1. assign V778756 = V693954 - 1. assign V266568 = V375697 - 1. assign V456477 = V887683. assign V709584 = V537706 + 1. assign V732277 = V840020 - 1. assign V275461 = V887683 + 1. assign V443030 = V844182. assign V343169 = V672969 - 1. assign V146420 = V125977 - 1. assign V302449 = V575609. assign V537706 = V146420. assign V202819 = V490117 - 1. assign V493597 = V174570 - 1. assign V721568 = V408868 + 1. assign V443747 = V146420 - 1. assign V273833 = V275461. assign V714046 = V873638 - 1. assign V495301 = V249751 + 1. assign V725493 = V714046 + 1. assign V028285 = V153663. assign V437989 = V108022. assign V385124 = V665220. assign V140230 = V197800 - 1. assign V575609 = V444262 - 1. assign V226929 = V172429. assign V087816 = V929300 - 1. assign V968960 = V082633. assign V501017 = V721568 - 1. assign V289701 = V936316. assign V540101 = V412451 - 1. assign V882111 = V288973 + 1. assign V311579 = V609868 - 1. assign V905089 = V526546. assign V910424 = V125977 - 1. assign V028972 = V673824 - 1. assign V348185 = V846916 - 1. assign V505725 = V815891 - 1. assign V169074 = V302449. assign V543447 = V813666 + 1. assign V458937 = V763164 - 1. assign V873638 = V813666.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV665220 = 0;\n\nFrom these direct assignment(s), we have: \nV385124 = V665220 = 0;\nNo other variables can be derived from V385124;\nNo other variables can be derived from V665220;\n\nNow we have done all the calculations. Derived variables are:\nV665220 = 0;\nV385124 = 0;\n\nNow we have finished this problem. ANSWER:\nV665220, V385124\n", "role": "assistant" } ]

[ "V368261" ]

[ { "content": "<context>\nassign V856652 = V476176 + 1. assign V157944 = V854215 + 1. assign V198330 = V434964 + 1. assign V761854 = V991871 - 1. assign V667194 = V934476 - 1. assign V788941 = V866572 + 1. assign V717502 = V044050 - 1. assign V614339 = V149133. assign V291017 = V977054 + 1. assign V849231 = V514322 - 1. assign V493945 = V044050 - 1. assign V989738 = V457933. assign V454463 = V572609. assign V398326 = V029369 + 1. assign V537436 = V368261 - 1. assign V854215 = V164674 + 1. assign V552566 = V227982. assign V186499 = V985653. assign V944953 = V828088 + 1. assign V234447 = V454935 - 1. assign V560881 = V502386. assign V249406 = V428872. assign V495515 = V476176. assign V679949 = V050944 + 1. assign V866572 = V977054. assign V687243 = V514322 + 1. assign V211777 = V398326. assign V617675 = V977054. assign V141241 = V767251 - 1. assign V985653 = V866572 + 1. assign V920547 = V854215 - 1. assign V450385 = V340156. assign V921442 = V943592 + 1. assign V246007 = V767251. assign V923498 = V225068 + 1. assign V994799 = V982384 - 1. assign V579428 = V499686 + 1. assign V164674 = V991871 - 1. assign V813704 = V454463 - 1. assign V170374 = V711013. assign V355465 = V476176 + 1. assign V332705 = V066344 + 1. assign V527423 = V044050 + 1. assign V995849 = V434964. assign V968218 = V157944. assign V800953 = V977054 + 1. assign V071796 = V617675. assign V002311 = V591723 + 1. assign V050944 = V739464 + 1. assign V741161 = V751289 + 1. assign V485687 = V920547. assign V227982 = V751289 + 1. assign V094559 = V096251 - 1. assign V839603 = V225068. assign V100254 = V849231 - 1. assign V587941 = V751289. assign V225068 = V444361 + 1. assign V640507 = V103797 - 1. assign V208065 = V354970 + 1. assign V457933 = V620152 - 1. assign V822591 = V913141 + 1. assign V828088 = V208065 + 1. assign V454935 = V164674 - 1. assign V407144 = V434964. assign V389526 = V188257 - 1. assign V653119 = V620152 + 1. assign V785335 = V592653. assign V731079 = V991871 + 1. assign V168052 = V718846 - 1. assign V582918 = V687243 - 1. assign V751289 = V991871. assign V188257 = V249357 + 1. assign V498129 = V457933. assign V991342 = V409440. assign V392931 = V977054. assign V900958 = V741161 - 1. assign V138021 = V071796. assign V043016 = V499686. assign V677902 = V614339 + 1. assign V040980 = V407144 + 1. assign V029369 = V544133 - 1. assign V044050 = V409440 + 1. assign V476176 = V982384. assign V712270 = V059339 - 1. assign V001269 = V598108 - 1. assign V499686 = V476176 + 1. assign V387554 = V409440. assign V953188 = V103797. assign V428872 = V059339 - 1. assign V711013 = V392931. assign V340156 = V164674. assign V514322 = V160051. assign V613890 = V186499. assign V282258 = V751289 - 1. assign V700085 = V751289 + 1. assign V397755 = V282258 - 1. assign V154146 = V953188. assign V544133 = V518947 - 1. assign V272184 = V059339. assign V502418 = V985653. assign V638131 = V488476. assign V444361 = V066344. assign V591723 = V141241 - 1. assign V502386 = V897489 - 1. assign V267594 = V560881 - 1. assign V434964 = V977054 - 1. assign V946439 = V741161 + 1. assign V739464 = V465781. assign V990205 = V982384. assign V160051 = V751289 - 1. assign V236548 = V944953 - 1. assign V268159 = V227982 - 1. assign V097926 = V613319 + 1. assign V030263 = V982384 - 1. assign V059339 = V227982. assign V294878 = V800953. assign V312378 = V638131 - 1. assign V624801 = V913141. assign V341086 = V071796. assign V494636 = V495515 + 1. assign V066344 = V164674 - 1. assign V592653 = V712270 - 1. assign V929946 = V617675. assign V897489 = V208065 + 1. assign V955038 = V465781 - 1. assign V574497 = V712270. assign V461861 = V059339 - 1. assign V080641 = V617675. assign V614352 = V425590 - 1. assign V718846 = V647703 + 1. assign V354970 = V425590. assign V598108 = V227982 + 1. assign V647703 = V465781 + 1. assign V715962 = V100254 - 1. assign V748498 = V767251 - 1. assign V913141 = V488476 + 1. assign V368261 = 2. assign V943592 = V638131 - 1. assign V613319 = V227982 - 1. assign V377155 = V355465 - 1. assign V572609 = V164674 + 1. assign V149133 = V748498 - 1. assign V206254 = V454463 + 1. assign V722423 = V913141 - 1. assign V612309 = V991871. assign V096251 = V160051. assign V409440 = V282258 + 1. assign V553643 = V813704 + 1. assign V552398 = V493945. assign V790988 = V059339 + 1. assign V620152 = V731079. assign V934476 = V160051. assign V506998 = V157944 + 1. assign V603690 = V677902. assign V518947 = V164674 - 1. assign V982384 = V767251 + 1. assign V526709 = V767251 - 1. assign V717257 = V677902. assign V102029 = V514322. assign V425590 = V227982 - 1. assign V662472 = V434964. assign V465781 = V059339. assign V093043 = V044050 - 1. assign V977054 = V991871 - 1. assign V017730 = V592653 + 1. assign V753511 = V598108. assign V474609 = V100254 - 1. assign V249357 = V856652 - 1. assign V103797 = V476176. assign V488476 = V355465 + 1. assign V705727 = V856652 - 1. assign V767251 = V425590.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V856652 = V476176 + 1. assign V157944 = V854215 + 1. assign V198330 = V434964 + 1. assign V761854 = V991871 - 1. assign V667194 = V934476 - 1. assign V788941 = V866572 + 1. assign V717502 = V044050 - 1. assign V614339 = V149133. assign V291017 = V977054 + 1. assign V849231 = V514322 - 1. assign V493945 = V044050 - 1. assign V989738 = V457933. assign V454463 = V572609. assign V398326 = V029369 + 1. assign V537436 = V368261 - 1. assign V854215 = V164674 + 1. assign V552566 = V227982. assign V186499 = V985653. assign V944953 = V828088 + 1. assign V234447 = V454935 - 1. assign V560881 = V502386. assign V249406 = V428872. assign V495515 = V476176. assign V679949 = V050944 + 1. assign V866572 = V977054. assign V687243 = V514322 + 1. assign V211777 = V398326. assign V617675 = V977054. assign V141241 = V767251 - 1. assign V985653 = V866572 + 1. assign V920547 = V854215 - 1. assign V450385 = V340156. assign V921442 = V943592 + 1. assign V246007 = V767251. assign V923498 = V225068 + 1. assign V994799 = V982384 - 1. assign V579428 = V499686 + 1. assign V164674 = V991871 - 1. assign V813704 = V454463 - 1. assign V170374 = V711013. assign V355465 = V476176 + 1. assign V332705 = V066344 + 1. assign V527423 = V044050 + 1. assign V995849 = V434964. assign V968218 = V157944. assign V800953 = V977054 + 1. assign V071796 = V617675. assign V002311 = V591723 + 1. assign V050944 = V739464 + 1. assign V741161 = V751289 + 1. assign V485687 = V920547. assign V227982 = V751289 + 1. assign V094559 = V096251 - 1. assign V839603 = V225068. assign V100254 = V849231 - 1. assign V587941 = V751289. assign V225068 = V444361 + 1. assign V640507 = V103797 - 1. assign V208065 = V354970 + 1. assign V457933 = V620152 - 1. assign V822591 = V913141 + 1. assign V828088 = V208065 + 1. assign V454935 = V164674 - 1. assign V407144 = V434964. assign V389526 = V188257 - 1. assign V653119 = V620152 + 1. assign V785335 = V592653. assign V731079 = V991871 + 1. assign V168052 = V718846 - 1. assign V582918 = V687243 - 1. assign V751289 = V991871. assign V188257 = V249357 + 1. assign V498129 = V457933. assign V991342 = V409440. assign V392931 = V977054. assign V900958 = V741161 - 1. assign V138021 = V071796. assign V043016 = V499686. assign V677902 = V614339 + 1. assign V040980 = V407144 + 1. assign V029369 = V544133 - 1. assign V044050 = V409440 + 1. assign V476176 = V982384. assign V712270 = V059339 - 1. assign V001269 = V598108 - 1. assign V499686 = V476176 + 1. assign V387554 = V409440. assign V953188 = V103797. assign V428872 = V059339 - 1. assign V711013 = V392931. assign V340156 = V164674. assign V514322 = V160051. assign V613890 = V186499. assign V282258 = V751289 - 1. assign V700085 = V751289 + 1. assign V397755 = V282258 - 1. assign V154146 = V953188. assign V544133 = V518947 - 1. assign V272184 = V059339. assign V502418 = V985653. assign V638131 = V488476. assign V444361 = V066344. assign V591723 = V141241 - 1. assign V502386 = V897489 - 1. assign V267594 = V560881 - 1. assign V434964 = V977054 - 1. assign V946439 = V741161 + 1. assign V739464 = V465781. assign V990205 = V982384. assign V160051 = V751289 - 1. assign V236548 = V944953 - 1. assign V268159 = V227982 - 1. assign V097926 = V613319 + 1. assign V030263 = V982384 - 1. assign V059339 = V227982. assign V294878 = V800953. assign V312378 = V638131 - 1. assign V624801 = V913141. assign V341086 = V071796. assign V494636 = V495515 + 1. assign V066344 = V164674 - 1. assign V592653 = V712270 - 1. assign V929946 = V617675. assign V897489 = V208065 + 1. assign V955038 = V465781 - 1. assign V574497 = V712270. assign V461861 = V059339 - 1. assign V080641 = V617675. assign V614352 = V425590 - 1. assign V718846 = V647703 + 1. assign V354970 = V425590. assign V598108 = V227982 + 1. assign V647703 = V465781 + 1. assign V715962 = V100254 - 1. assign V748498 = V767251 - 1. assign V913141 = V488476 + 1. assign V368261 = 2. assign V943592 = V638131 - 1. assign V613319 = V227982 - 1. assign V377155 = V355465 - 1. assign V572609 = V164674 + 1. assign V149133 = V748498 - 1. assign V206254 = V454463 + 1. assign V722423 = V913141 - 1. assign V612309 = V991871. assign V096251 = V160051. assign V409440 = V282258 + 1. assign V553643 = V813704 + 1. assign V552398 = V493945. assign V790988 = V059339 + 1. assign V620152 = V731079. assign V934476 = V160051. assign V506998 = V157944 + 1. assign V603690 = V677902. assign V518947 = V164674 - 1. assign V982384 = V767251 + 1. assign V526709 = V767251 - 1. assign V717257 = V677902. assign V102029 = V514322. assign V425590 = V227982 - 1. assign V662472 = V434964. assign V465781 = V059339. assign V093043 = V044050 - 1. assign V977054 = V991871 - 1. assign V017730 = V592653 + 1. assign V753511 = V598108. assign V474609 = V100254 - 1. assign V249357 = V856652 - 1. assign V103797 = V476176. assign V488476 = V355465 + 1. assign V705727 = V856652 - 1. assign V767251 = V425590.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV368261 = 2;\n\nFrom these direct assignment(s), we have: \nV537436 = V368261 - 1 = 2 - 1 =1;\nNo other variables can be derived from V537436;\nNo other variables can be derived from V368261;\n\nNow we have done all the calculations. Derived variables are:\nV368261 = 2;\nV537436 = 1;\n\nNow we have finished this problem. ANSWER:\nV368261\n", "role": "assistant" } ]

[ "V122171" ]

[ { "content": "<context>\nassign V869413 = V237865 + 1. assign V811320 = V869413. assign V082762 = V148771 - 1. assign V930902 = V962693 - 1. assign V045921 = V900655 - 1. assign V223840 = V942920 + 1. assign V374125 = V305293 - 1. assign V224128 = V044415 - 1. assign V811535 = V439318 - 1. assign V631293 = V023476 + 1. assign V693015 = V148771 + 1. assign V584582 = V566837. assign V192569 = V406088. assign V927501 = V754520. assign V103094 = V589120. assign V389997 = V754520. assign V059129 = V577478 - 1. assign V378002 = V061321 + 1. assign V957350 = V790687. assign V305293 = V700551 + 1. assign V575494 = V224128. assign V947386 = V705728 + 1. assign V808574 = V521593 + 1. assign V589120 = V044415 - 1. assign V845600 = V148771. assign V264560 = V831576. assign V192129 = V849884 - 1. assign V886745 = V710740 + 1. assign V923706 = V651153 - 1. assign V521593 = V237865 - 1. assign V061321 = V900655. assign V457859 = V566837. assign V831576 = V710740 + 1. assign V390446 = V060571. assign V498873 = V406088 + 1. assign V700551 = V339619 + 1. assign V487319 = V192569. assign V302043 = V568117 + 1. assign V710740 = V923706 + 1. assign V611788 = V305913 - 1. assign V440525 = V305293 + 1. assign V223577 = V631293. assign V753548 = V739229 + 1. assign V927881 = V928821. assign V102115 = V103094 + 1. assign V745603 = V577478 - 1. assign V543671 = V793808 + 1. assign V396729 = V458825. assign V187186 = V390446 + 1. assign V141369 = V059129 - 1. assign V566837 = V577478 + 1. assign V130666 = V596010 + 1. assign V215860 = V200967. assign V148771 = V187186 + 1. assign V754520 = V850036 - 1. assign V942920 = V423475. assign V576057 = V701323 - 1. assign V023476 = V439318. assign V622347 = V876134. assign V683181 = V200967 + 1. assign V446202 = V439318. assign V331439 = V548148 - 1. assign V258199 = V430749. assign V423475 = V242750. assign V430749 = V506263 + 1. assign V739229 = V840161 + 1. assign V976692 = V498458. assign V305913 = V082762. assign V807407 = V148771. assign V867057 = V407392 - 1. assign V691755 = V241724. assign V751701 = V059129 - 1. assign V692928 = V082762 - 1. assign V900753 = V754520. assign V271031 = V082762 + 1. assign V280399 = V457859 - 1. assign V044415 = V876134 - 1. assign V850036 = V710740. assign V663773 = V439318 - 1. assign V928821 = V305913 - 1. assign V122171 = V086864 - 1. assign V400286 = V751701. assign V140371 = V223840 + 1. assign V679532 = V942920. assign V154616 = V923706 - 1. assign V832724 = V200967. assign V102237 = V709841 + 1. assign V407392 = V759876. assign V694173 = V577478 - 1. assign V692088 = V148771. assign V471369 = V266272. assign V442134 = V187186 - 1. assign V441630 = V307656 - 1. assign V601327 = V044415 - 1. assign V503954 = V633707 + 1. assign V683965 = V589120 - 1. assign V029406 = V886745 - 1. assign V962693 = V759876 - 1. assign V709841 = V082762 + 1. assign V633707 = V832724 + 1. assign V759876 = V611788. assign V547868 = V192129 - 1. assign V267379 = V788643 - 1. assign V651153 = V611788. assign V453768 = V584582 + 1. assign V699817 = V693015 - 1. assign V230766 = V390446 + 1. assign V841696 = V923706 + 1. assign V169078 = V082762. assign V304692 = V506263. assign V629442 = V622347 + 1. assign V419294 = V745603. assign V531870 = V339619. assign V213916 = V584582. assign V635761 = V869413. assign V498458 = V339619 + 1. assign V548148 = V237865 - 1. assign V790224 = V788643 - 1. assign V859898 = V631293 - 1. assign V701323 = V886745 - 1. assign V406088 = V506263 + 1. assign V326574 = V082762 + 1. assign V788643 = V390446. assign V056004 = V307656 - 1. assign V702534 = V531870. assign V403379 = V339619. assign V086864 = 2. assign V510160 = V754520 + 1. assign V307656 = V651153 + 1. assign V900655 = V577478. assign V596010 = V237865. assign V075008 = V200967. assign V126781 = V200967. assign V716892 = V406088 - 1. assign V717254 = V187186 + 1. assign V849884 = V845600 + 1. assign V084003 = V242750 + 1. assign V600207 = V709841. assign V506263 = V446202 + 1. assign V162589 = V845600. assign V131784 = V304692 - 1. assign V793808 = V271031. assign V369344 = V927881 - 1. assign V545622 = V154616. assign V012082 = V060571 - 1. assign V790687 = V305913. assign V176260 = V692088 - 1. assign V548718 = V739229. assign V431033 = V441630 + 1. assign V478542 = V458825. assign V568117 = V271031. assign V339619 = V406088 + 1. assign V152063 = V693015 + 1. assign V840161 = V131784. assign V054599 = V326574. assign V235383 = V859898. assign V705728 = V693015 + 1. assign V237865 = V082762 - 1. assign V242750 = V439318 + 1. assign V439318 = V390446 + 1. assign V500320 = V169078 + 1. assign V613684 = V267379 - 1. assign V200967 = V845600 + 1. assign V869081 = V705728. assign V241724 = V596010. assign V876134 = V187186. assign V266272 = V430749. assign V458825 = V584582 + 1. assign V051617 = V745603 + 1. assign V313584 = V237865 - 1. assign V851727 = V521593 - 1. assign V577478 = V876134 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V869413 = V237865 + 1. assign V811320 = V869413. assign V082762 = V148771 - 1. assign V930902 = V962693 - 1. assign V045921 = V900655 - 1. assign V223840 = V942920 + 1. assign V374125 = V305293 - 1. assign V224128 = V044415 - 1. assign V811535 = V439318 - 1. assign V631293 = V023476 + 1. assign V693015 = V148771 + 1. assign V584582 = V566837. assign V192569 = V406088. assign V927501 = V754520. assign V103094 = V589120. assign V389997 = V754520. assign V059129 = V577478 - 1. assign V378002 = V061321 + 1. assign V957350 = V790687. assign V305293 = V700551 + 1. assign V575494 = V224128. assign V947386 = V705728 + 1. assign V808574 = V521593 + 1. assign V589120 = V044415 - 1. assign V845600 = V148771. assign V264560 = V831576. assign V192129 = V849884 - 1. assign V886745 = V710740 + 1. assign V923706 = V651153 - 1. assign V521593 = V237865 - 1. assign V061321 = V900655. assign V457859 = V566837. assign V831576 = V710740 + 1. assign V390446 = V060571. assign V498873 = V406088 + 1. assign V700551 = V339619 + 1. assign V487319 = V192569. assign V302043 = V568117 + 1. assign V710740 = V923706 + 1. assign V611788 = V305913 - 1. assign V440525 = V305293 + 1. assign V223577 = V631293. assign V753548 = V739229 + 1. assign V927881 = V928821. assign V102115 = V103094 + 1. assign V745603 = V577478 - 1. assign V543671 = V793808 + 1. assign V396729 = V458825. assign V187186 = V390446 + 1. assign V141369 = V059129 - 1. assign V566837 = V577478 + 1. assign V130666 = V596010 + 1. assign V215860 = V200967. assign V148771 = V187186 + 1. assign V754520 = V850036 - 1. assign V942920 = V423475. assign V576057 = V701323 - 1. assign V023476 = V439318. assign V622347 = V876134. assign V683181 = V200967 + 1. assign V446202 = V439318. assign V331439 = V548148 - 1. assign V258199 = V430749. assign V423475 = V242750. assign V430749 = V506263 + 1. assign V739229 = V840161 + 1. assign V976692 = V498458. assign V305913 = V082762. assign V807407 = V148771. assign V867057 = V407392 - 1. assign V691755 = V241724. assign V751701 = V059129 - 1. assign V692928 = V082762 - 1. assign V900753 = V754520. assign V271031 = V082762 + 1. assign V280399 = V457859 - 1. assign V044415 = V876134 - 1. assign V850036 = V710740. assign V663773 = V439318 - 1. assign V928821 = V305913 - 1. assign V122171 = V086864 - 1. assign V400286 = V751701. assign V140371 = V223840 + 1. assign V679532 = V942920. assign V154616 = V923706 - 1. assign V832724 = V200967. assign V102237 = V709841 + 1. assign V407392 = V759876. assign V694173 = V577478 - 1. assign V692088 = V148771. assign V471369 = V266272. assign V442134 = V187186 - 1. assign V441630 = V307656 - 1. assign V601327 = V044415 - 1. assign V503954 = V633707 + 1. assign V683965 = V589120 - 1. assign V029406 = V886745 - 1. assign V962693 = V759876 - 1. assign V709841 = V082762 + 1. assign V633707 = V832724 + 1. assign V759876 = V611788. assign V547868 = V192129 - 1. assign V267379 = V788643 - 1. assign V651153 = V611788. assign V453768 = V584582 + 1. assign V699817 = V693015 - 1. assign V230766 = V390446 + 1. assign V841696 = V923706 + 1. assign V169078 = V082762. assign V304692 = V506263. assign V629442 = V622347 + 1. assign V419294 = V745603. assign V531870 = V339619. assign V213916 = V584582. assign V635761 = V869413. assign V498458 = V339619 + 1. assign V548148 = V237865 - 1. assign V790224 = V788643 - 1. assign V859898 = V631293 - 1. assign V701323 = V886745 - 1. assign V406088 = V506263 + 1. assign V326574 = V082762 + 1. assign V788643 = V390446. assign V056004 = V307656 - 1. assign V702534 = V531870. assign V403379 = V339619. assign V086864 = 2. assign V510160 = V754520 + 1. assign V307656 = V651153 + 1. assign V900655 = V577478. assign V596010 = V237865. assign V075008 = V200967. assign V126781 = V200967. assign V716892 = V406088 - 1. assign V717254 = V187186 + 1. assign V849884 = V845600 + 1. assign V084003 = V242750 + 1. assign V600207 = V709841. assign V506263 = V446202 + 1. assign V162589 = V845600. assign V131784 = V304692 - 1. assign V793808 = V271031. assign V369344 = V927881 - 1. assign V545622 = V154616. assign V012082 = V060571 - 1. assign V790687 = V305913. assign V176260 = V692088 - 1. assign V548718 = V739229. assign V431033 = V441630 + 1. assign V478542 = V458825. assign V568117 = V271031. assign V339619 = V406088 + 1. assign V152063 = V693015 + 1. assign V840161 = V131784. assign V054599 = V326574. assign V235383 = V859898. assign V705728 = V693015 + 1. assign V237865 = V082762 - 1. assign V242750 = V439318 + 1. assign V439318 = V390446 + 1. assign V500320 = V169078 + 1. assign V613684 = V267379 - 1. assign V200967 = V845600 + 1. assign V869081 = V705728. assign V241724 = V596010. assign V876134 = V187186. assign V266272 = V430749. assign V458825 = V584582 + 1. assign V051617 = V745603 + 1. assign V313584 = V237865 - 1. assign V851727 = V521593 - 1. assign V577478 = V876134 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV086864 = 2;\n\nFrom these direct assignment(s), we have: \nV122171 = V086864 - 1 = 2 - 1 =1;\nNo other variables can be derived from V122171;\nNo other variables can be derived from V086864;\n\nNow we have done all the calculations. Derived variables are:\nV086864 = 2;\nV122171 = 1;\n\nNow we have finished this problem. ANSWER:\nV122171\n", "role": "assistant" } ]

[ "V541648" ]

[ { "content": "<context>\nassign V740149 = 5. assign V310852 = V619183 - 1. assign V589399 = V430767 - 1. assign V617777 = V721996 - 1. assign V611958 = V105746 + 1. assign V417508 = V183966 + 1. assign V543376 = V590776. assign V366477 = V569068 - 1. assign V778858 = V721996. assign V704096 = V823345 - 1. assign V927239 = V605194 + 1. assign V638484 = V400925 + 1. assign V619183 = V100924 + 1. assign V184128 = V136567 + 1. assign V569068 = V131036 + 1. assign V147121 = V578942. assign V262149 = V551494 + 1. assign V976317 = V160689 + 1. assign V829432 = V451965 + 1. assign V773088 = V920628 + 1. assign V331647 = V955485. assign V964734 = V682254 - 1. assign V849824 = V565396 + 1. assign V346856 = V721996 + 1. assign V534695 = V224893. assign V062015 = V243337 - 1. assign V376918 = V619183 + 1. assign V400925 = V881340 - 1. assign V902064 = V737625 + 1. assign V483106 = V088394 - 1. assign V560121 = V357311. assign V131036 = V591341. assign V015982 = V400930. assign V464371 = V310921 - 1. assign V913457 = V773088. assign V345975 = V357311 - 1. assign V814869 = V617777. assign V716082 = V674206 - 1. assign V144454 = V755566 + 1. assign V105746 = V184128 + 1. assign V941582 = V619183. assign V016354 = V224893. assign V842800 = V927239. assign V069792 = V605194. assign V928816 = V510741. assign V608011 = V829432 - 1. assign V987738 = V675521. assign V823345 = V591341. assign V768373 = V737625. assign V037812 = V443864. assign V150149 = V556410 - 1. assign V088394 = V964734. assign V290479 = V721996 - 1. assign V373846 = V608555 - 1. assign V310921 = V617777. assign V764636 = V920628 - 1. assign V484867 = V430767 + 1. assign V841969 = V591341 + 1. assign V556410 = V395086 + 1. assign V443864 = V489976 - 1. assign V347164 = V940642. assign V395086 = V744734 + 1. assign V565396 = V778858 + 1. assign V688914 = V199051 + 1. assign V702334 = V334489 + 1. assign V683974 = V417508 - 1. assign V856528 = V846665 + 1. assign V136567 = V582164. assign V590776 = V902064. assign V611936 = V100924 + 1. assign V704312 = V240967. assign V430767 = V617777 + 1. assign V935413 = V617777 - 1. assign V618697 = V591341 + 1. assign V200831 = V608555 + 1. assign V402590 = V721996 + 1. assign V578942 = V902064 + 1. assign V853017 = V737625 + 1. assign V394470 = V964734 - 1. assign V674206 = V038789 + 1. assign V856212 = V987738 + 1. assign V474129 = V832321 + 1. assign V593048 = V310921 - 1. assign V166546 = V565396. assign V582164 = V556410. assign V191425 = V366477. assign V842623 = V593048 - 1. assign V742780 = V674206 + 1. assign V451476 = V935413. assign V859489 = V376918 + 1. assign V362480 = V037812. assign V286491 = V560121 - 1. assign V876710 = V290479 - 1. assign V134890 = V605194. assign V751170 = V927239 + 1. assign V940642 = V842623. assign V846665 = V920628. assign V957232 = V062015. assign V823266 = V608555. assign V741594 = V556410. assign V662882 = V902064 + 1. assign V258717 = V510741. assign V881340 = V768373 + 1. assign V616809 = V617777. assign V035422 = V443864. assign V251307 = V611936 + 1. assign V240967 = V704096. assign V310958 = V322352 - 1. assign V675521 = V902064. assign V809023 = V674206 - 1. assign V163909 = V150149. assign V322352 = V744734. assign V955485 = V464371 + 1. assign V199051 = V400925 - 1. assign V137863 = V395086. assign V451965 = V366477 + 1. assign V973669 = V881340. assign V243337 = V232413 - 1. assign V863674 = V721996 + 1. assign V940527 = V605194 - 1. assign V945129 = V769051 + 1. assign V334489 = V150149. assign V232413 = V395086. assign V601558 = V842800. assign V924453 = V240967 + 1. assign V001833 = V593048 + 1. assign V038789 = V935413. assign V541648 = V740149 - 1. assign V993977 = V704096 + 1. assign V093576 = V902064 + 1. assign V979426 = V682254 + 1. assign V940598 = V721996. assign V571471 = V556410 + 1. assign V598154 = V704096 + 1. assign V941359 = V510741. assign V160689 = V593048 + 1. assign V551494 = V510741 - 1. assign V747762 = V451965 - 1. assign V337852 = V737625 + 1. assign V608555 = V100924 + 1. assign V510741 = V741594 - 1. assign V769051 = V100924 + 1. assign V920628 = V617777 + 1. assign V330981 = V464371. assign V309058 = V345975. assign V744734 = V310921. assign V100924 = V842800 + 1. assign V075818 = V601558. assign V298012 = V310921. assign V400930 = V737625 - 1. assign V605194 = V778858. assign V489976 = V290479. assign V519177 = V357311 - 1. assign V755566 = V593048 + 1. assign V521716 = V617777. assign V737625 = V617777 + 1. assign V696994 = V846665 + 1. assign V694041 = V979426 - 1. assign V183966 = V675521 - 1. assign V690289 = V521716 + 1. assign V144449 = V489976 + 1. assign V538479 = V755566 + 1. assign V682254 = V346856. assign V832321 = V489976 + 1. assign V309368 = V402590. assign V591341 = V310921. assign V970385 = V464371. assign V357311 = V310921 + 1. assign V224893 = V616809 + 1. assign V459212 = V163909 - 1. assign V792314 = V814869 + 1. assign V459218 = V037812.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V740149 = 5. assign V310852 = V619183 - 1. assign V589399 = V430767 - 1. assign V617777 = V721996 - 1. assign V611958 = V105746 + 1. assign V417508 = V183966 + 1. assign V543376 = V590776. assign V366477 = V569068 - 1. assign V778858 = V721996. assign V704096 = V823345 - 1. assign V927239 = V605194 + 1. assign V638484 = V400925 + 1. assign V619183 = V100924 + 1. assign V184128 = V136567 + 1. assign V569068 = V131036 + 1. assign V147121 = V578942. assign V262149 = V551494 + 1. assign V976317 = V160689 + 1. assign V829432 = V451965 + 1. assign V773088 = V920628 + 1. assign V331647 = V955485. assign V964734 = V682254 - 1. assign V849824 = V565396 + 1. assign V346856 = V721996 + 1. assign V534695 = V224893. assign V062015 = V243337 - 1. assign V376918 = V619183 + 1. assign V400925 = V881340 - 1. assign V902064 = V737625 + 1. assign V483106 = V088394 - 1. assign V560121 = V357311. assign V131036 = V591341. assign V015982 = V400930. assign V464371 = V310921 - 1. assign V913457 = V773088. assign V345975 = V357311 - 1. assign V814869 = V617777. assign V716082 = V674206 - 1. assign V144454 = V755566 + 1. assign V105746 = V184128 + 1. assign V941582 = V619183. assign V016354 = V224893. assign V842800 = V927239. assign V069792 = V605194. assign V928816 = V510741. assign V608011 = V829432 - 1. assign V987738 = V675521. assign V823345 = V591341. assign V768373 = V737625. assign V037812 = V443864. assign V150149 = V556410 - 1. assign V088394 = V964734. assign V290479 = V721996 - 1. assign V373846 = V608555 - 1. assign V310921 = V617777. assign V764636 = V920628 - 1. assign V484867 = V430767 + 1. assign V841969 = V591341 + 1. assign V556410 = V395086 + 1. assign V443864 = V489976 - 1. assign V347164 = V940642. assign V395086 = V744734 + 1. assign V565396 = V778858 + 1. assign V688914 = V199051 + 1. assign V702334 = V334489 + 1. assign V683974 = V417508 - 1. assign V856528 = V846665 + 1. assign V136567 = V582164. assign V590776 = V902064. assign V611936 = V100924 + 1. assign V704312 = V240967. assign V430767 = V617777 + 1. assign V935413 = V617777 - 1. assign V618697 = V591341 + 1. assign V200831 = V608555 + 1. assign V402590 = V721996 + 1. assign V578942 = V902064 + 1. assign V853017 = V737625 + 1. assign V394470 = V964734 - 1. assign V674206 = V038789 + 1. assign V856212 = V987738 + 1. assign V474129 = V832321 + 1. assign V593048 = V310921 - 1. assign V166546 = V565396. assign V582164 = V556410. assign V191425 = V366477. assign V842623 = V593048 - 1. assign V742780 = V674206 + 1. assign V451476 = V935413. assign V859489 = V376918 + 1. assign V362480 = V037812. assign V286491 = V560121 - 1. assign V876710 = V290479 - 1. assign V134890 = V605194. assign V751170 = V927239 + 1. assign V940642 = V842623. assign V846665 = V920628. assign V957232 = V062015. assign V823266 = V608555. assign V741594 = V556410. assign V662882 = V902064 + 1. assign V258717 = V510741. assign V881340 = V768373 + 1. assign V616809 = V617777. assign V035422 = V443864. assign V251307 = V611936 + 1. assign V240967 = V704096. assign V310958 = V322352 - 1. assign V675521 = V902064. assign V809023 = V674206 - 1. assign V163909 = V150149. assign V322352 = V744734. assign V955485 = V464371 + 1. assign V199051 = V400925 - 1. assign V137863 = V395086. assign V451965 = V366477 + 1. assign V973669 = V881340. assign V243337 = V232413 - 1. assign V863674 = V721996 + 1. assign V940527 = V605194 - 1. assign V945129 = V769051 + 1. assign V334489 = V150149. assign V232413 = V395086. assign V601558 = V842800. assign V924453 = V240967 + 1. assign V001833 = V593048 + 1. assign V038789 = V935413. assign V541648 = V740149 - 1. assign V993977 = V704096 + 1. assign V093576 = V902064 + 1. assign V979426 = V682254 + 1. assign V940598 = V721996. assign V571471 = V556410 + 1. assign V598154 = V704096 + 1. assign V941359 = V510741. assign V160689 = V593048 + 1. assign V551494 = V510741 - 1. assign V747762 = V451965 - 1. assign V337852 = V737625 + 1. assign V608555 = V100924 + 1. assign V510741 = V741594 - 1. assign V769051 = V100924 + 1. assign V920628 = V617777 + 1. assign V330981 = V464371. assign V309058 = V345975. assign V744734 = V310921. assign V100924 = V842800 + 1. assign V075818 = V601558. assign V298012 = V310921. assign V400930 = V737625 - 1. assign V605194 = V778858. assign V489976 = V290479. assign V519177 = V357311 - 1. assign V755566 = V593048 + 1. assign V521716 = V617777. assign V737625 = V617777 + 1. assign V696994 = V846665 + 1. assign V694041 = V979426 - 1. assign V183966 = V675521 - 1. assign V690289 = V521716 + 1. assign V144449 = V489976 + 1. assign V538479 = V755566 + 1. assign V682254 = V346856. assign V832321 = V489976 + 1. assign V309368 = V402590. assign V591341 = V310921. assign V970385 = V464371. assign V357311 = V310921 + 1. assign V224893 = V616809 + 1. assign V459212 = V163909 - 1. assign V792314 = V814869 + 1. assign V459218 = V037812.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV740149 = 5;\n\nFrom these direct assignment(s), we have: \nV541648 = V740149 - 1 = 5 - 1 =4;\nNo other variables can be derived from V541648;\nNo other variables can be derived from V740149;\n\nNow we have done all the calculations. Derived variables are:\nV740149 = 5;\nV541648 = 4;\n\nNow we have finished this problem. ANSWER:\nV541648\n", "role": "assistant" } ]

[ "V696599" ]

[ { "content": "<context>\nassign V270383 = V167553 + 1. assign V379986 = V294109 + 1. assign V382285 = V530397 + 1. assign V373510 = V746434 - 1. assign V778253 = V398743. assign V081530 = V125124. assign V281496 = V546972 + 1. assign V419997 = V503546. assign V176359 = V048191. assign V975099 = V363137 - 1. assign V338173 = V538110 - 1. assign V580417 = V640959 - 1. assign V540415 = V369408. assign V518230 = V271773 - 1. assign V751607 = V128371 - 1. assign V736129 = V839511 + 1. assign V684622 = V429145 - 1. assign V338671 = V977888 + 1. assign V448405 = V165662 - 1. assign V398743 = V511149. assign V822127 = V572814 - 1. assign V429145 = V488179 - 1. assign V538110 = V222619. assign V302533 = V991961. assign V312236 = V165662 - 1. assign V590321 = V647285 - 1. assign V295425 = V511149 + 1. assign V768276 = V398743. assign V413201 = V640959. assign V400522 = V026681. assign V847238 = V369408 + 1. assign V926613 = V757569 - 1. assign V696599 = 8. assign V081946 = V363137 - 1. assign V229620 = V322180 + 1. assign V245865 = V338173 - 1. assign V642368 = V755602 - 1. assign V969476 = V535130 + 1. assign V799150 = V196835 - 1. assign V424313 = V696599 - 1. assign V227001 = V338173. assign V511149 = V535130 - 1. assign V404842 = V233096 - 1. assign V272524 = V227001. assign V553184 = V530397. assign V030584 = V503546 - 1. assign V745921 = V233096. assign V856060 = V774958 - 1. assign V522398 = V128371. assign V147908 = V539957 + 1. assign V324153 = V856060. assign V057951 = V255875. assign V820754 = V572814. assign V165403 = V546972 - 1. assign V540800 = V535130. assign V319726 = V635232 - 1. assign V977888 = V165662 + 1. assign V563454 = V896956. assign V531423 = V030584 + 1. assign V845615 = V295425 + 1. assign V888883 = V140847. assign V125124 = V369408 + 1. assign V530397 = V196835. assign V909404 = V302533 + 1. assign V932865 = V294109 + 1. assign V574893 = V538110 + 1. assign V678705 = V820754. assign V527509 = V530397 - 1. assign V358119 = V295425. assign V352721 = V941376 + 1. assign V578343 = V674737. assign V539398 = V814867 - 1. assign V695815 = V363137 - 1. assign V376386 = V428007 - 1. assign V958373 = V539398 + 1. assign V755602 = V338671 + 1. assign V062068 = V294109. assign V941376 = V413201 + 1. assign V224273 = V765466 - 1. assign V572814 = V580830. assign V656829 = V746434. assign V765466 = V324153 + 1. assign V167553 = V848661 - 1. assign V896956 = V546972 - 1. assign V978078 = V012187 + 1. assign V270483 = V338671 - 1. assign V308846 = V845615. assign V177299 = V081530 - 1. assign V834009 = V338671 + 1. assign V428007 = V196429 + 1. assign V632272 = V674737 + 1. assign V887488 = V978078 + 1. assign V972567 = V233096 + 1. assign V820803 = V125124. assign V128371 = V755602. assign V477104 = V196835 + 1. assign V376328 = V294109 + 1. assign V488179 = V546972 + 1. assign V196835 = V511149 - 1. assign V159419 = V640959. assign V757569 = V578343. assign V674737 = V398743. assign V498399 = V635232. assign V012187 = V511149 - 1. assign V048191 = V295425. assign V257290 = V048191 + 1. assign V770562 = V820803. assign V848661 = V297044 + 1. assign V640959 = V222619 + 1. assign V587465 = V165662. assign V946008 = V632272 + 1. assign V991961 = V845615. assign V322180 = V413201 - 1. assign V283238 = V227001. assign V487575 = V139547 - 1. assign V542325 = V538110. assign V165662 = V503546. assign V140847 = V640959 - 1. assign V503546 = V640959 - 1. assign V783929 = V574893. assign V647285 = V640959 + 1. assign V785279 = V941376 - 1. assign V839511 = V578343 - 1. assign V392718 = V193309 - 1. assign V746434 = V196429. assign V270848 = V026681. assign V233096 = V398743. assign V857187 = V294109 + 1. assign V539957 = V540800. assign V369408 = V012187 - 1. assign V502632 = V991961. assign V196429 = V196835 - 1. assign V477734 = V448405. assign V363137 = V030584 + 1. assign V661305 = V546972. assign V491617 = V745921 - 1. assign V535130 = V538110 + 1. assign V225206 = V887488 - 1. assign V000154 = V283238 - 1. assign V424624 = V271773. assign V437174 = V198610 + 1. assign V774958 = V969476. assign V814867 = V546972. assign V255875 = V511149. assign V653563 = V640959 - 1. assign V193309 = V139547 - 1. assign V489221 = V661305 - 1. assign V270861 = V491617 - 1. assign V544278 = V653563 + 1. assign V522776 = V674737 - 1. assign V635232 = V674737 + 1. assign V426865 = V653563. assign V026681 = V503546. assign V259175 = V428007. assign V754763 = V322180 - 1. assign V257035 = V112034. assign V580830 = V531423 + 1. assign V012110 = V165403 + 1. assign V372527 = V448405 - 1. assign V596627 = V352721 + 1. assign V198610 = V755602 - 1. assign V915336 = V683975 - 1. assign V976832 = V635232 + 1. assign V649765 = V372527 - 1. assign V297044 = V358119. assign V546972 = V165662. assign V294109 = V222619 + 1. assign V190523 = V578343 + 1. assign V683975 = V259175. assign V139547 = V674737 + 1. assign V271773 = V656829. assign V112034 = V139547 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V270383 = V167553 + 1. assign V379986 = V294109 + 1. assign V382285 = V530397 + 1. assign V373510 = V746434 - 1. assign V778253 = V398743. assign V081530 = V125124. assign V281496 = V546972 + 1. assign V419997 = V503546. assign V176359 = V048191. assign V975099 = V363137 - 1. assign V338173 = V538110 - 1. assign V580417 = V640959 - 1. assign V540415 = V369408. assign V518230 = V271773 - 1. assign V751607 = V128371 - 1. assign V736129 = V839511 + 1. assign V684622 = V429145 - 1. assign V338671 = V977888 + 1. assign V448405 = V165662 - 1. assign V398743 = V511149. assign V822127 = V572814 - 1. assign V429145 = V488179 - 1. assign V538110 = V222619. assign V302533 = V991961. assign V312236 = V165662 - 1. assign V590321 = V647285 - 1. assign V295425 = V511149 + 1. assign V768276 = V398743. assign V413201 = V640959. assign V400522 = V026681. assign V847238 = V369408 + 1. assign V926613 = V757569 - 1. assign V696599 = 8. assign V081946 = V363137 - 1. assign V229620 = V322180 + 1. assign V245865 = V338173 - 1. assign V642368 = V755602 - 1. assign V969476 = V535130 + 1. assign V799150 = V196835 - 1. assign V424313 = V696599 - 1. assign V227001 = V338173. assign V511149 = V535130 - 1. assign V404842 = V233096 - 1. assign V272524 = V227001. assign V553184 = V530397. assign V030584 = V503546 - 1. assign V745921 = V233096. assign V856060 = V774958 - 1. assign V522398 = V128371. assign V147908 = V539957 + 1. assign V324153 = V856060. assign V057951 = V255875. assign V820754 = V572814. assign V165403 = V546972 - 1. assign V540800 = V535130. assign V319726 = V635232 - 1. assign V977888 = V165662 + 1. assign V563454 = V896956. assign V531423 = V030584 + 1. assign V845615 = V295425 + 1. assign V888883 = V140847. assign V125124 = V369408 + 1. assign V530397 = V196835. assign V909404 = V302533 + 1. assign V932865 = V294109 + 1. assign V574893 = V538110 + 1. assign V678705 = V820754. assign V527509 = V530397 - 1. assign V358119 = V295425. assign V352721 = V941376 + 1. assign V578343 = V674737. assign V539398 = V814867 - 1. assign V695815 = V363137 - 1. assign V376386 = V428007 - 1. assign V958373 = V539398 + 1. assign V755602 = V338671 + 1. assign V062068 = V294109. assign V941376 = V413201 + 1. assign V224273 = V765466 - 1. assign V572814 = V580830. assign V656829 = V746434. assign V765466 = V324153 + 1. assign V167553 = V848661 - 1. assign V896956 = V546972 - 1. assign V978078 = V012187 + 1. assign V270483 = V338671 - 1. assign V308846 = V845615. assign V177299 = V081530 - 1. assign V834009 = V338671 + 1. assign V428007 = V196429 + 1. assign V632272 = V674737 + 1. assign V887488 = V978078 + 1. assign V972567 = V233096 + 1. assign V820803 = V125124. assign V128371 = V755602. assign V477104 = V196835 + 1. assign V376328 = V294109 + 1. assign V488179 = V546972 + 1. assign V196835 = V511149 - 1. assign V159419 = V640959. assign V757569 = V578343. assign V674737 = V398743. assign V498399 = V635232. assign V012187 = V511149 - 1. assign V048191 = V295425. assign V257290 = V048191 + 1. assign V770562 = V820803. assign V848661 = V297044 + 1. assign V640959 = V222619 + 1. assign V587465 = V165662. assign V946008 = V632272 + 1. assign V991961 = V845615. assign V322180 = V413201 - 1. assign V283238 = V227001. assign V487575 = V139547 - 1. assign V542325 = V538110. assign V165662 = V503546. assign V140847 = V640959 - 1. assign V503546 = V640959 - 1. assign V783929 = V574893. assign V647285 = V640959 + 1. assign V785279 = V941376 - 1. assign V839511 = V578343 - 1. assign V392718 = V193309 - 1. assign V746434 = V196429. assign V270848 = V026681. assign V233096 = V398743. assign V857187 = V294109 + 1. assign V539957 = V540800. assign V369408 = V012187 - 1. assign V502632 = V991961. assign V196429 = V196835 - 1. assign V477734 = V448405. assign V363137 = V030584 + 1. assign V661305 = V546972. assign V491617 = V745921 - 1. assign V535130 = V538110 + 1. assign V225206 = V887488 - 1. assign V000154 = V283238 - 1. assign V424624 = V271773. assign V437174 = V198610 + 1. assign V774958 = V969476. assign V814867 = V546972. assign V255875 = V511149. assign V653563 = V640959 - 1. assign V193309 = V139547 - 1. assign V489221 = V661305 - 1. assign V270861 = V491617 - 1. assign V544278 = V653563 + 1. assign V522776 = V674737 - 1. assign V635232 = V674737 + 1. assign V426865 = V653563. assign V026681 = V503546. assign V259175 = V428007. assign V754763 = V322180 - 1. assign V257035 = V112034. assign V580830 = V531423 + 1. assign V012110 = V165403 + 1. assign V372527 = V448405 - 1. assign V596627 = V352721 + 1. assign V198610 = V755602 - 1. assign V915336 = V683975 - 1. assign V976832 = V635232 + 1. assign V649765 = V372527 - 1. assign V297044 = V358119. assign V546972 = V165662. assign V294109 = V222619 + 1. assign V190523 = V578343 + 1. assign V683975 = V259175. assign V139547 = V674737 + 1. assign V271773 = V656829. assign V112034 = V139547 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV696599 = 8;\n\nFrom these direct assignment(s), we have: \nV424313 = V696599 - 1 = 8 - 1 =7;\nNo other variables can be derived from V424313;\nNo other variables can be derived from V696599;\n\nNow we have done all the calculations. Derived variables are:\nV696599 = 8;\nV424313 = 7;\n\nNow we have finished this problem. ANSWER:\nV696599\n", "role": "assistant" } ]

[ "V514564", "V392930" ]

[ { "content": "<context>\nassign V802638 = V709143. assign V403453 = V013649. assign V210837 = V659205 - 1. assign V374980 = V321346 - 1. assign V556269 = V948367 + 1. assign V742026 = V131320 - 1. assign V615658 = V200446 - 1. assign V179656 = V324417 - 1. assign V642320 = V694774 + 1. assign V504572 = V694774 - 1. assign V431760 = V926055. assign V049275 = V306940. assign V415719 = V179656 + 1. assign V157443 = V837384 - 1. assign V954330 = V467472 - 1. assign V776141 = V244097 + 1. assign V258330 = V102286. assign V633338 = V642525 + 1. assign V266654 = V200446 - 1. assign V377799 = V808512 - 1. assign V354026 = V958053 - 1. assign V370548 = V642320 - 1. assign V892845 = V826640 - 1. assign V926055 = V871197. assign V744305 = V200446 - 1. assign V049931 = V348302 - 1. assign V431252 = V131320 - 1. assign V731695 = V321346 + 1. assign V637947 = V709143 - 1. assign V256939 = V763293 + 1. assign V340513 = V532174 - 1. assign V227173 = V352949 - 1. assign V352949 = V615658 + 1. assign V486033 = V642320 - 1. assign V563148 = V871197 + 1. assign V203181 = V227173 - 1. assign V667453 = V975418 - 1. assign V994361 = V768025 - 1. assign V238085 = V324706. assign V316397 = V871197 - 1. assign V217673 = V347960 + 1. assign V522336 = V984983. assign V228162 = V207603 - 1. assign V787020 = V694774. assign V306940 = V871197 + 1. assign V192684 = V266654 + 1. assign V131320 = V320073 + 1. assign V929600 = V306940 - 1. assign V921426 = V694774. assign V442050 = V200446 + 1. assign V244097 = V929600 - 1. assign V753424 = V871197 + 1. assign V280983 = V431252 - 1. assign V507549 = V467472 + 1. assign V749192 = V729848 - 1. assign V046259 = V633338. assign V836389 = V295376 + 1. assign V307044 = V675251. assign V625743 = V207603 - 1. assign V585461 = V266654 - 1. assign V458930 = V920327. assign V732775 = V922068 + 1. assign V345643 = V370548 - 1. assign V837384 = V776141 - 1. assign V200446 = V871197. assign V554246 = V658556 + 1. assign V465485 = V948367. assign V694774 = V448178 + 1. assign V928651 = V826640 + 1. assign V151623 = V157443 - 1. assign V031356 = V157443 - 1. assign V463904 = V776977 - 1. assign V648206 = V320073 - 1. assign V015976 = V320073 + 1. assign V013649 = V046783 - 1. assign V296906 = V266654. assign V018662 = V871197 - 1. assign V218518 = V921426 - 1. assign V729848 = V306940 + 1. assign V047170 = V921426 + 1. assign V532174 = V207603. assign V763293 = V991104 + 1. assign V808512 = V520581. assign V177428 = V347960 + 1. assign V730961 = V431760. assign V768025 = V467472 - 1. assign V673549 = V709143 + 1. assign V324706 = V563148 - 1. assign V635222 = V218518 + 1. assign V326430 = V486033 + 1. assign V062444 = V763293. assign V390169 = V486033 - 1. assign V606349 = V324417 + 1. assign V321346 = V948367 + 1. assign V460737 = V324417 + 1. assign V765257 = V625743 + 1. assign V948367 = V887357. assign V872896 = V288908 + 1. assign V688049 = V953886 + 1. assign V295618 = V958053 + 1. assign V984983 = V324417 - 1. assign V410990 = V776977 - 1. assign V074335 = V776141 - 1. assign V821636 = V808512. assign V449092 = V131320. assign V924777 = V354026 - 1. assign V239862 = V929600. assign V755853 = V244097. assign V469155 = V288198. assign V453574 = V415719 - 1. assign V344572 = V921426 + 1. assign V693048 = V338649 + 1. assign V324417 = V926055. assign V803828 = V467472. assign V958053 = V306940 - 1. assign V298041 = V266654. assign V637527 = V031356. assign V638983 = V210837 + 1. assign V288908 = V929600. assign V207603 = V642525. assign V642525 = V238085. assign V675251 = V642525. assign V091748 = V295618. assign V514564 = 10. assign V665619 = V585512 - 1. assign V520581 = V929600 + 1. assign V347960 = V324417. assign V392930 = V514564. assign V776977 = V926055 - 1. assign V808807 = V563148. assign V618831 = V929600. assign V979634 = V921426 - 1. assign V103058 = V463904 + 1. assign V922068 = V467472. assign V718571 = V929600 - 1. assign V520934 = V948367 + 1. assign V392318 = V467472 - 1. assign V502070 = V718571 - 1. assign V826640 = V415719 - 1. assign V953886 = V753424 - 1. assign V995451 = V460737. assign V422588 = V507549. assign V320073 = V958053 - 1. assign V448178 = V744305. assign V734139 = V871197. assign V932072 = V458930. assign V288198 = V520581 - 1. assign V102286 = V658556 - 1. assign V295376 = V871197 - 1. assign V350605 = V563148. assign V338649 = V520581 - 1. assign V658556 = V392318 + 1. assign V478922 = V157443 + 1. assign V991104 = V633338 - 1. assign V467472 = V948367 - 1. assign V235898 = V306940. assign V046783 = V642525 - 1. assign V585512 = V979634 - 1. assign V325342 = V192684 - 1. assign V322406 = V344572 - 1. assign V985255 = V731695 - 1. assign V348302 = V266654 - 1. assign V232412 = V431760 + 1. assign V479107 = V244097 + 1. assign V709143 = V217673. assign V659205 = V837384 + 1. assign V887605 = V768025 - 1. assign V975418 = V585512 + 1. assign V920327 = V953886 - 1. assign V954080 = V635222 - 1. assign V068741 = V354026. assign V887357 = V871197 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V802638 = V709143. assign V403453 = V013649. assign V210837 = V659205 - 1. assign V374980 = V321346 - 1. assign V556269 = V948367 + 1. assign V742026 = V131320 - 1. assign V615658 = V200446 - 1. assign V179656 = V324417 - 1. assign V642320 = V694774 + 1. assign V504572 = V694774 - 1. assign V431760 = V926055. assign V049275 = V306940. assign V415719 = V179656 + 1. assign V157443 = V837384 - 1. assign V954330 = V467472 - 1. assign V776141 = V244097 + 1. assign V258330 = V102286. assign V633338 = V642525 + 1. assign V266654 = V200446 - 1. assign V377799 = V808512 - 1. assign V354026 = V958053 - 1. assign V370548 = V642320 - 1. assign V892845 = V826640 - 1. assign V926055 = V871197. assign V744305 = V200446 - 1. assign V049931 = V348302 - 1. assign V431252 = V131320 - 1. assign V731695 = V321346 + 1. assign V637947 = V709143 - 1. assign V256939 = V763293 + 1. assign V340513 = V532174 - 1. assign V227173 = V352949 - 1. assign V352949 = V615658 + 1. assign V486033 = V642320 - 1. assign V563148 = V871197 + 1. assign V203181 = V227173 - 1. assign V667453 = V975418 - 1. assign V994361 = V768025 - 1. assign V238085 = V324706. assign V316397 = V871197 - 1. assign V217673 = V347960 + 1. assign V522336 = V984983. assign V228162 = V207603 - 1. assign V787020 = V694774. assign V306940 = V871197 + 1. assign V192684 = V266654 + 1. assign V131320 = V320073 + 1. assign V929600 = V306940 - 1. assign V921426 = V694774. assign V442050 = V200446 + 1. assign V244097 = V929600 - 1. assign V753424 = V871197 + 1. assign V280983 = V431252 - 1. assign V507549 = V467472 + 1. assign V749192 = V729848 - 1. assign V046259 = V633338. assign V836389 = V295376 + 1. assign V307044 = V675251. assign V625743 = V207603 - 1. assign V585461 = V266654 - 1. assign V458930 = V920327. assign V732775 = V922068 + 1. assign V345643 = V370548 - 1. assign V837384 = V776141 - 1. assign V200446 = V871197. assign V554246 = V658556 + 1. assign V465485 = V948367. assign V694774 = V448178 + 1. assign V928651 = V826640 + 1. assign V151623 = V157443 - 1. assign V031356 = V157443 - 1. assign V463904 = V776977 - 1. assign V648206 = V320073 - 1. assign V015976 = V320073 + 1. assign V013649 = V046783 - 1. assign V296906 = V266654. assign V018662 = V871197 - 1. assign V218518 = V921426 - 1. assign V729848 = V306940 + 1. assign V047170 = V921426 + 1. assign V532174 = V207603. assign V763293 = V991104 + 1. assign V808512 = V520581. assign V177428 = V347960 + 1. assign V730961 = V431760. assign V768025 = V467472 - 1. assign V673549 = V709143 + 1. assign V324706 = V563148 - 1. assign V635222 = V218518 + 1. assign V326430 = V486033 + 1. assign V062444 = V763293. assign V390169 = V486033 - 1. assign V606349 = V324417 + 1. assign V321346 = V948367 + 1. assign V460737 = V324417 + 1. assign V765257 = V625743 + 1. assign V948367 = V887357. assign V872896 = V288908 + 1. assign V688049 = V953886 + 1. assign V295618 = V958053 + 1. assign V984983 = V324417 - 1. assign V410990 = V776977 - 1. assign V074335 = V776141 - 1. assign V821636 = V808512. assign V449092 = V131320. assign V924777 = V354026 - 1. assign V239862 = V929600. assign V755853 = V244097. assign V469155 = V288198. assign V453574 = V415719 - 1. assign V344572 = V921426 + 1. assign V693048 = V338649 + 1. assign V324417 = V926055. assign V803828 = V467472. assign V958053 = V306940 - 1. assign V298041 = V266654. assign V637527 = V031356. assign V638983 = V210837 + 1. assign V288908 = V929600. assign V207603 = V642525. assign V642525 = V238085. assign V675251 = V642525. assign V091748 = V295618. assign V514564 = 10. assign V665619 = V585512 - 1. assign V520581 = V929600 + 1. assign V347960 = V324417. assign V392930 = V514564. assign V776977 = V926055 - 1. assign V808807 = V563148. assign V618831 = V929600. assign V979634 = V921426 - 1. assign V103058 = V463904 + 1. assign V922068 = V467472. assign V718571 = V929600 - 1. assign V520934 = V948367 + 1. assign V392318 = V467472 - 1. assign V502070 = V718571 - 1. assign V826640 = V415719 - 1. assign V953886 = V753424 - 1. assign V995451 = V460737. assign V422588 = V507549. assign V320073 = V958053 - 1. assign V448178 = V744305. assign V734139 = V871197. assign V932072 = V458930. assign V288198 = V520581 - 1. assign V102286 = V658556 - 1. assign V295376 = V871197 - 1. assign V350605 = V563148. assign V338649 = V520581 - 1. assign V658556 = V392318 + 1. assign V478922 = V157443 + 1. assign V991104 = V633338 - 1. assign V467472 = V948367 - 1. assign V235898 = V306940. assign V046783 = V642525 - 1. assign V585512 = V979634 - 1. assign V325342 = V192684 - 1. assign V322406 = V344572 - 1. assign V985255 = V731695 - 1. assign V348302 = V266654 - 1. assign V232412 = V431760 + 1. assign V479107 = V244097 + 1. assign V709143 = V217673. assign V659205 = V837384 + 1. assign V887605 = V768025 - 1. assign V975418 = V585512 + 1. assign V920327 = V953886 - 1. assign V954080 = V635222 - 1. assign V068741 = V354026. assign V887357 = V871197 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV514564 = 10;\n\nFrom these direct assignment(s), we have: \nV392930 = V514564 = 10;\nNo other variables can be derived from V392930;\nNo other variables can be derived from V514564;\n\nNow we have done all the calculations. Derived variables are:\nV514564 = 10;\nV392930 = 10;\n\nNow we have finished this problem. ANSWER:\nV514564, V392930\n", "role": "assistant" } ]

[ "V931213" ]

[ { "content": "<context>\nassign V972982 = V383286. assign V963080 = V303651 - 1. assign V922751 = V551744. assign V699533 = V125502. assign V627710 = V476775 - 1. assign V072021 = V644886 - 1. assign V229516 = V739152 - 1. assign V575195 = V153109 - 1. assign V548984 = V731042 - 1. assign V745639 = V922751 + 1. assign V936501 = V597124 - 1. assign V161751 = V715533 + 1. assign V007847 = V560756 - 1. assign V437004 = V855359. assign V196595 = V737637. assign V654602 = V931213 - 1. assign V414884 = V476775 + 1. assign V320436 = V174797. assign V451922 = V214404 - 1. assign V303651 = V842857 - 1. assign V054033 = V824715 + 1. assign V753591 = V125502 - 1. assign V580867 = V435147 + 1. assign V980199 = V881779. assign V038948 = V764614 - 1. assign V174797 = V517812. assign V352154 = V174797 - 1. assign V096859 = V512067 + 1. assign V236605 = V517812. assign V679838 = V055580. assign V379196 = V597124 - 1. assign V584187 = V989039. assign V169442 = V366184 + 1. assign V517812 = V731042 - 1. assign V905740 = V587977 - 1. assign V434392 = V228119 - 1. assign V797908 = V774485 - 1. assign V490425 = V755187 - 1. assign V366184 = V880362 - 1. assign V796375 = V641044 - 1. assign V551744 = V720255. assign V542650 = V338737 - 1. assign V184438 = V379196 + 1. assign V637432 = V093476. assign V739152 = V153109 + 1. assign V071525 = V446343 - 1. assign V214404 = V366184 - 1. assign V321826 = V805915. assign V984179 = V825374 + 1. assign V105174 = V560756. assign V808366 = V972065 + 1. assign V712749 = V174797 + 1. assign V153109 = V842857 - 1. assign V302583 = V984073 - 1. assign V170815 = V989039 + 1. assign V992358 = V294940. assign V448356 = V054033 - 1. assign V196069 = V575195 - 1. assign V201053 = V053909 - 1. assign V514807 = V862841 - 1. assign V253688 = V041625 - 1. assign V970855 = V060400 + 1. assign V125502 = V785172. assign V060400 = V476775. assign V842857 = V435147 - 1. assign V549335 = V862841 - 1. assign V433105 = V715533 + 1. assign V605881 = V352154 - 1. assign V681736 = V054025 + 1. assign V089136 = V688570 + 1. assign V457070 = V774485 - 1. assign V047047 = V808366 - 1. assign V644886 = V825374 - 1. assign V755187 = V869002 - 1. assign V891575 = V708417 - 1. assign V881779 = V720255 - 1. assign V934992 = V688570 + 1. assign V972065 = V855359 + 1. assign V093476 = V575195 + 1. assign V634828 = V749670 + 1. assign V228119 = V476775 - 1. assign V764048 = V611323 - 1. assign V862841 = V517812. assign V476775 = V233697 + 1. assign V314684 = V383286 + 1. assign V346773 = V620620 - 1. assign V587977 = V611323. assign V078992 = V055580. assign V258064 = V584187. assign V383286 = V755187 + 1. assign V749670 = V041625 + 1. assign V220358 = V862841 + 1. assign V437536 = V434392 - 1. assign V688570 = V055580 - 1. assign V720255 = V842857. assign V337370 = V551744 - 1. assign V512067 = V078992 + 1. assign V501693 = V764048 + 1. assign V412974 = V787366 - 1. assign V824715 = V476775 - 1. assign V461222 = V945005 + 1. assign V760335 = V435147 + 1. assign V476235 = V796375 + 1. assign V945005 = V880362 + 1. assign V731042 = V435147 + 1. assign V793859 = V196069 - 1. assign V931213 = 0. assign V747257 = V999681 - 1. assign V805915 = V637432 - 1. assign V869002 = V611323. assign V107147 = V548984 + 1. assign V473464 = V614609 - 1. assign V746592 = V233697 - 1. assign V294940 = V184438. assign V053909 = V862841 - 1. assign V999681 = V270008 + 1. assign V528804 = V743209 - 1. assign V338737 = V739152. assign V326660 = V528804. assign V560756 = V984073 + 1. assign V574931 = V575195 + 1. assign V488090 = V093476 - 1. assign V446343 = V196069 - 1. assign V233697 = V739152. assign V470670 = V922751. assign V989039 = V041625 + 1. assign V764614 = V446343 + 1. assign V326921 = V461222. assign V193913 = V517812 + 1. assign V313014 = V644886 + 1. assign V984073 = V731042 + 1. assign V946243 = V753591 - 1. assign V855359 = V153109 - 1. assign V880362 = V476775 + 1. assign V912645 = V934992 + 1. assign V611323 = V196069 - 1. assign V790780 = V731042. assign V620620 = V881779 + 1. assign V742252 = V866964 - 1. assign V715533 = V842857. assign V496381 = V446343. assign V731983 = V560756. assign V597124 = V866964. assign V717371 = V742252 - 1. assign V038632 = V270008 + 1. assign V270008 = V233697. assign V614609 = V220358 + 1. assign V740088 = V089136 - 1. assign V934266 = V302583 + 1. assign V054025 = V078992. assign V665148 = V303651 + 1. assign V866964 = V842857. assign V678545 = V105174 - 1. assign V737637 = V548984. assign V041625 = V435147 - 1. assign V787366 = V041625 - 1. assign V600730 = V641044 + 1. assign V055580 = V548984. assign V815351 = V054025. assign V743209 = V731042 - 1. assign V522885 = V825374 + 1. assign V825374 = V720255. assign V785172 = V338737 - 1. assign V389251 = V338737 - 1. assign V641044 = V936501 + 1. assign V774485 = V575195 + 1. assign V366836 = V506499 - 1. assign V944181 = V753591 - 1. assign V513357 = V644886 - 1. assign V708417 = V984073 + 1. assign V506499 = V551744 + 1. assign V776179 = V980199 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V972982 = V383286. assign V963080 = V303651 - 1. assign V922751 = V551744. assign V699533 = V125502. assign V627710 = V476775 - 1. assign V072021 = V644886 - 1. assign V229516 = V739152 - 1. assign V575195 = V153109 - 1. assign V548984 = V731042 - 1. assign V745639 = V922751 + 1. assign V936501 = V597124 - 1. assign V161751 = V715533 + 1. assign V007847 = V560756 - 1. assign V437004 = V855359. assign V196595 = V737637. assign V654602 = V931213 - 1. assign V414884 = V476775 + 1. assign V320436 = V174797. assign V451922 = V214404 - 1. assign V303651 = V842857 - 1. assign V054033 = V824715 + 1. assign V753591 = V125502 - 1. assign V580867 = V435147 + 1. assign V980199 = V881779. assign V038948 = V764614 - 1. assign V174797 = V517812. assign V352154 = V174797 - 1. assign V096859 = V512067 + 1. assign V236605 = V517812. assign V679838 = V055580. assign V379196 = V597124 - 1. assign V584187 = V989039. assign V169442 = V366184 + 1. assign V517812 = V731042 - 1. assign V905740 = V587977 - 1. assign V434392 = V228119 - 1. assign V797908 = V774485 - 1. assign V490425 = V755187 - 1. assign V366184 = V880362 - 1. assign V796375 = V641044 - 1. assign V551744 = V720255. assign V542650 = V338737 - 1. assign V184438 = V379196 + 1. assign V637432 = V093476. assign V739152 = V153109 + 1. assign V071525 = V446343 - 1. assign V214404 = V366184 - 1. assign V321826 = V805915. assign V984179 = V825374 + 1. assign V105174 = V560756. assign V808366 = V972065 + 1. assign V712749 = V174797 + 1. assign V153109 = V842857 - 1. assign V302583 = V984073 - 1. assign V170815 = V989039 + 1. assign V992358 = V294940. assign V448356 = V054033 - 1. assign V196069 = V575195 - 1. assign V201053 = V053909 - 1. assign V514807 = V862841 - 1. assign V253688 = V041625 - 1. assign V970855 = V060400 + 1. assign V125502 = V785172. assign V060400 = V476775. assign V842857 = V435147 - 1. assign V549335 = V862841 - 1. assign V433105 = V715533 + 1. assign V605881 = V352154 - 1. assign V681736 = V054025 + 1. assign V089136 = V688570 + 1. assign V457070 = V774485 - 1. assign V047047 = V808366 - 1. assign V644886 = V825374 - 1. assign V755187 = V869002 - 1. assign V891575 = V708417 - 1. assign V881779 = V720255 - 1. assign V934992 = V688570 + 1. assign V972065 = V855359 + 1. assign V093476 = V575195 + 1. assign V634828 = V749670 + 1. assign V228119 = V476775 - 1. assign V764048 = V611323 - 1. assign V862841 = V517812. assign V476775 = V233697 + 1. assign V314684 = V383286 + 1. assign V346773 = V620620 - 1. assign V587977 = V611323. assign V078992 = V055580. assign V258064 = V584187. assign V383286 = V755187 + 1. assign V749670 = V041625 + 1. assign V220358 = V862841 + 1. assign V437536 = V434392 - 1. assign V688570 = V055580 - 1. assign V720255 = V842857. assign V337370 = V551744 - 1. assign V512067 = V078992 + 1. assign V501693 = V764048 + 1. assign V412974 = V787366 - 1. assign V824715 = V476775 - 1. assign V461222 = V945005 + 1. assign V760335 = V435147 + 1. assign V476235 = V796375 + 1. assign V945005 = V880362 + 1. assign V731042 = V435147 + 1. assign V793859 = V196069 - 1. assign V931213 = 0. assign V747257 = V999681 - 1. assign V805915 = V637432 - 1. assign V869002 = V611323. assign V107147 = V548984 + 1. assign V473464 = V614609 - 1. assign V746592 = V233697 - 1. assign V294940 = V184438. assign V053909 = V862841 - 1. assign V999681 = V270008 + 1. assign V528804 = V743209 - 1. assign V338737 = V739152. assign V326660 = V528804. assign V560756 = V984073 + 1. assign V574931 = V575195 + 1. assign V488090 = V093476 - 1. assign V446343 = V196069 - 1. assign V233697 = V739152. assign V470670 = V922751. assign V989039 = V041625 + 1. assign V764614 = V446343 + 1. assign V326921 = V461222. assign V193913 = V517812 + 1. assign V313014 = V644886 + 1. assign V984073 = V731042 + 1. assign V946243 = V753591 - 1. assign V855359 = V153109 - 1. assign V880362 = V476775 + 1. assign V912645 = V934992 + 1. assign V611323 = V196069 - 1. assign V790780 = V731042. assign V620620 = V881779 + 1. assign V742252 = V866964 - 1. assign V715533 = V842857. assign V496381 = V446343. assign V731983 = V560756. assign V597124 = V866964. assign V717371 = V742252 - 1. assign V038632 = V270008 + 1. assign V270008 = V233697. assign V614609 = V220358 + 1. assign V740088 = V089136 - 1. assign V934266 = V302583 + 1. assign V054025 = V078992. assign V665148 = V303651 + 1. assign V866964 = V842857. assign V678545 = V105174 - 1. assign V737637 = V548984. assign V041625 = V435147 - 1. assign V787366 = V041625 - 1. assign V600730 = V641044 + 1. assign V055580 = V548984. assign V815351 = V054025. assign V743209 = V731042 - 1. assign V522885 = V825374 + 1. assign V825374 = V720255. assign V785172 = V338737 - 1. assign V389251 = V338737 - 1. assign V641044 = V936501 + 1. assign V774485 = V575195 + 1. assign V366836 = V506499 - 1. assign V944181 = V753591 - 1. assign V513357 = V644886 - 1. assign V708417 = V984073 + 1. assign V506499 = V551744 + 1. assign V776179 = V980199 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV931213 = 0;\n\nFrom these direct assignment(s), we have: \nV654602 = V931213 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V654602;\nNo other variables can be derived from V931213;\n\nNow we have done all the calculations. Derived variables are:\nV931213 = 0;\nV654602 = -1;\n\nNow we have finished this problem. ANSWER:\nV931213\n", "role": "assistant" } ]

[ "V331043" ]

[ { "content": "<context>\nassign V366483 = V809650 - 1. assign V350080 = V513435 - 1. assign V976576 = V759563 - 1. assign V899259 = V686935 - 1. assign V094155 = V593651 - 1. assign V743321 = V364965 + 1. assign V217106 = V479770 - 1. assign V996249 = V083372 + 1. assign V864652 = V850993. assign V544465 = V068057 - 1. assign V858832 = V581836 - 1. assign V652275 = V459737 - 1. assign V432858 = V846050 - 1. assign V204775 = V473391 + 1. assign V854300 = V847359 + 1. assign V546389 = V652275. assign V734632 = V459737. assign V068057 = V935649 - 1. assign V431901 = V863330 - 1. assign V003135 = V846050 + 1. assign V847359 = V686935 - 1. assign V470946 = V673726 + 1. assign V581836 = V571996. assign V618254 = V094155 + 1. assign V039913 = V459737 + 1. assign V083372 = V913991 + 1. assign V416699 = V864652 + 1. assign V035634 = V715410 + 1. assign V423826 = V581836. assign V394643 = V134446 - 1. assign V359593 = V847359. assign V091991 = V510114 - 1. assign V716518 = V863330 + 1. assign V824034 = V652275 - 1. assign V753435 = V863330. assign V571996 = V913991 - 1. assign V593651 = V715410 + 1. assign V463421 = V593651 + 1. assign V800230 = V076286 + 1. assign V479770 = V868943. assign V817991 = V510114 - 1. assign V485949 = V704579 - 1. assign V846050 = V079896 + 1. assign V371126 = V532399 - 1. assign V135551 = V864652 + 1. assign V953363 = V474223 - 1. assign V868943 = V713775 + 1. assign V684589 = V491155 - 1. assign V799407 = V317023. assign V425955 = V864652. assign V255538 = V618254 + 1. assign V433627 = V091991 + 1. assign V136876 = V929061 - 1. assign V394766 = V317023 + 1. assign V652369 = V121529 - 1. assign V721166 = V317023 - 1. assign V237847 = V870866 + 1. assign V250359 = V095211 + 1. assign V871154 = V068137. assign V367497 = V393309. assign V809650 = V913991 - 1. assign V440873 = V863330 + 1. assign V013612 = V753435. assign V702319 = V870866. assign V393309 = V425955. assign V210936 = V954681. assign V173107 = V841922. assign V305024 = V463421 + 1. assign V929061 = V558111 + 1. assign V095211 = V495802. assign V134446 = V495802 - 1. assign V935649 = V581836 - 1. assign V037155 = V136876 + 1. assign V112393 = V135551. assign V755049 = V495802 + 1. assign V841922 = V473391 - 1. assign V558111 = V747420. assign V294654 = V425955. assign V703020 = V076286 + 1. assign V439191 = V868943 - 1. assign V791681 = V018158. assign V189319 = V476531. assign V899584 = V317023. assign V615815 = V935649. assign V753069 = V305024 + 1. assign V152340 = V374822. assign V457889 = V593651 + 1. assign V084388 = V519689 + 1. assign V331043 = 2. assign V863330 = V571996. assign V833557 = V954681 + 1. assign V474223 = V571996. assign V098836 = V657276 - 1. assign V526465 = V331043 - 1. assign V759563 = V091991 + 1. assign V954980 = V657276. assign V442944 = V423826 - 1. assign V850993 = V581836 + 1. assign V209544 = V359593 + 1. assign V068137 = V425955. assign V791280 = V358647. assign V085797 = V845121 + 1. assign V491155 = V535245. assign V060349 = V546389 + 1. assign V747420 = V686935 + 1. assign V704579 = V535245. assign V473391 = V439191. assign V486184 = V715410. assign V992558 = V210936. assign V686935 = V913991 + 1. assign V207985 = V800230 + 1. assign V242939 = V421305. assign V542368 = V809650 - 1. assign V407584 = V433627 - 1. assign V052152 = V546389 + 1. assign V519689 = V210936 + 1. assign V222069 = V847359. assign V535245 = V713775. assign V162797 = V935649 - 1. assign V528422 = V863330 - 1. assign V352452 = V294654 - 1. assign V480014 = V439191. assign V842092 = V954681. assign V263880 = V791280 + 1. assign V880266 = V863330. assign V510114 = V864652 + 1. assign V476531 = V809650 + 1. assign V845121 = V374822 - 1. assign V018158 = V431901 + 1. assign V068046 = V189319. assign V402983 = V263880. assign V119316 = V256790 - 1. assign V673726 = V809650 + 1. assign V302973 = V850993 - 1. assign V364965 = V715410 - 1. assign V891512 = V495802 - 1. assign V931520 = V824034. assign V657276 = V162797 + 1. assign V317023 = V134446 + 1. assign V476523 = V440873 + 1. assign V516574 = V841922 + 1. assign V076286 = V713775 + 1. assign V121529 = V068057 + 1. assign V459737 = V473391 + 1. assign V937928 = V079896 + 1. assign V954681 = V686935. assign V887469 = V571996. assign V779567 = V850993. assign V257781 = V868943. assign V715410 = V686935 - 1. assign V513435 = V841922 - 1. assign V646661 = V263880 - 1. assign V870866 = V256790 + 1. assign V458841 = V657276 + 1. assign V972588 = V546389 + 1. assign V364438 = V358647 + 1. assign V509223 = V136876. assign V036720 = V473391 - 1. assign V604159 = V846050. assign V358647 = V433627 + 1. assign V421305 = V423826 + 1. assign V465531 = V222069 - 1. assign V079896 = V222069 - 1. assign V454267 = V755049 - 1. assign V256790 = V210936. assign V374822 = V256790 + 1. assign V495802 = V083372. assign V454354 = V374822. assign V816390 = V953363 - 1. assign V713775 = V747420. assign V578602 = V317023. assign V532399 = V473391.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V366483 = V809650 - 1. assign V350080 = V513435 - 1. assign V976576 = V759563 - 1. assign V899259 = V686935 - 1. assign V094155 = V593651 - 1. assign V743321 = V364965 + 1. assign V217106 = V479770 - 1. assign V996249 = V083372 + 1. assign V864652 = V850993. assign V544465 = V068057 - 1. assign V858832 = V581836 - 1. assign V652275 = V459737 - 1. assign V432858 = V846050 - 1. assign V204775 = V473391 + 1. assign V854300 = V847359 + 1. assign V546389 = V652275. assign V734632 = V459737. assign V068057 = V935649 - 1. assign V431901 = V863330 - 1. assign V003135 = V846050 + 1. assign V847359 = V686935 - 1. assign V470946 = V673726 + 1. assign V581836 = V571996. assign V618254 = V094155 + 1. assign V039913 = V459737 + 1. assign V083372 = V913991 + 1. assign V416699 = V864652 + 1. assign V035634 = V715410 + 1. assign V423826 = V581836. assign V394643 = V134446 - 1. assign V359593 = V847359. assign V091991 = V510114 - 1. assign V716518 = V863330 + 1. assign V824034 = V652275 - 1. assign V753435 = V863330. assign V571996 = V913991 - 1. assign V593651 = V715410 + 1. assign V463421 = V593651 + 1. assign V800230 = V076286 + 1. assign V479770 = V868943. assign V817991 = V510114 - 1. assign V485949 = V704579 - 1. assign V846050 = V079896 + 1. assign V371126 = V532399 - 1. assign V135551 = V864652 + 1. assign V953363 = V474223 - 1. assign V868943 = V713775 + 1. assign V684589 = V491155 - 1. assign V799407 = V317023. assign V425955 = V864652. assign V255538 = V618254 + 1. assign V433627 = V091991 + 1. assign V136876 = V929061 - 1. assign V394766 = V317023 + 1. assign V652369 = V121529 - 1. assign V721166 = V317023 - 1. assign V237847 = V870866 + 1. assign V250359 = V095211 + 1. assign V871154 = V068137. assign V367497 = V393309. assign V809650 = V913991 - 1. assign V440873 = V863330 + 1. assign V013612 = V753435. assign V702319 = V870866. assign V393309 = V425955. assign V210936 = V954681. assign V173107 = V841922. assign V305024 = V463421 + 1. assign V929061 = V558111 + 1. assign V095211 = V495802. assign V134446 = V495802 - 1. assign V935649 = V581836 - 1. assign V037155 = V136876 + 1. assign V112393 = V135551. assign V755049 = V495802 + 1. assign V841922 = V473391 - 1. assign V558111 = V747420. assign V294654 = V425955. assign V703020 = V076286 + 1. assign V439191 = V868943 - 1. assign V791681 = V018158. assign V189319 = V476531. assign V899584 = V317023. assign V615815 = V935649. assign V753069 = V305024 + 1. assign V152340 = V374822. assign V457889 = V593651 + 1. assign V084388 = V519689 + 1. assign V331043 = 2. assign V863330 = V571996. assign V833557 = V954681 + 1. assign V474223 = V571996. assign V098836 = V657276 - 1. assign V526465 = V331043 - 1. assign V759563 = V091991 + 1. assign V954980 = V657276. assign V442944 = V423826 - 1. assign V850993 = V581836 + 1. assign V209544 = V359593 + 1. assign V068137 = V425955. assign V791280 = V358647. assign V085797 = V845121 + 1. assign V491155 = V535245. assign V060349 = V546389 + 1. assign V747420 = V686935 + 1. assign V704579 = V535245. assign V473391 = V439191. assign V486184 = V715410. assign V992558 = V210936. assign V686935 = V913991 + 1. assign V207985 = V800230 + 1. assign V242939 = V421305. assign V542368 = V809650 - 1. assign V407584 = V433627 - 1. assign V052152 = V546389 + 1. assign V519689 = V210936 + 1. assign V222069 = V847359. assign V535245 = V713775. assign V162797 = V935649 - 1. assign V528422 = V863330 - 1. assign V352452 = V294654 - 1. assign V480014 = V439191. assign V842092 = V954681. assign V263880 = V791280 + 1. assign V880266 = V863330. assign V510114 = V864652 + 1. assign V476531 = V809650 + 1. assign V845121 = V374822 - 1. assign V018158 = V431901 + 1. assign V068046 = V189319. assign V402983 = V263880. assign V119316 = V256790 - 1. assign V673726 = V809650 + 1. assign V302973 = V850993 - 1. assign V364965 = V715410 - 1. assign V891512 = V495802 - 1. assign V931520 = V824034. assign V657276 = V162797 + 1. assign V317023 = V134446 + 1. assign V476523 = V440873 + 1. assign V516574 = V841922 + 1. assign V076286 = V713775 + 1. assign V121529 = V068057 + 1. assign V459737 = V473391 + 1. assign V937928 = V079896 + 1. assign V954681 = V686935. assign V887469 = V571996. assign V779567 = V850993. assign V257781 = V868943. assign V715410 = V686935 - 1. assign V513435 = V841922 - 1. assign V646661 = V263880 - 1. assign V870866 = V256790 + 1. assign V458841 = V657276 + 1. assign V972588 = V546389 + 1. assign V364438 = V358647 + 1. assign V509223 = V136876. assign V036720 = V473391 - 1. assign V604159 = V846050. assign V358647 = V433627 + 1. assign V421305 = V423826 + 1. assign V465531 = V222069 - 1. assign V079896 = V222069 - 1. assign V454267 = V755049 - 1. assign V256790 = V210936. assign V374822 = V256790 + 1. assign V495802 = V083372. assign V454354 = V374822. assign V816390 = V953363 - 1. assign V713775 = V747420. assign V578602 = V317023. assign V532399 = V473391.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV331043 = 2;\n\nFrom these direct assignment(s), we have: \nV526465 = V331043 - 1 = 2 - 1 =1;\nNo other variables can be derived from V526465;\nNo other variables can be derived from V331043;\n\nNow we have done all the calculations. Derived variables are:\nV331043 = 2;\nV526465 = 1;\n\nNow we have finished this problem. ANSWER:\nV331043\n", "role": "assistant" } ]

[ "V140173", "V117584" ]

[ { "content": "<context>\nassign V725981 = V158569. assign V514473 = V563792. assign V201708 = V138668 - 1. assign V496279 = V724598 - 1. assign V092012 = V528068 + 1. assign V059617 = V818175 + 1. assign V914251 = V912411 - 1. assign V764736 = V059617 + 1. assign V650887 = V563792 + 1. assign V023089 = V474829 + 1. assign V989056 = V975198 - 1. assign V207183 = V432869 + 1. assign V140173 = 6. assign V465581 = V107046 - 1. assign V816882 = V811188 + 1. assign V255901 = V059617 + 1. assign V341404 = V167133 - 1. assign V824217 = V938272. assign V438821 = V280851 - 1. assign V948460 = V156601 + 1. assign V528068 = V138668 + 1. assign V811188 = V963172. assign V167133 = V280147 + 1. assign V489815 = V902632 + 1. assign V836693 = V513578. assign V969909 = V948460 - 1. assign V289404 = V358479 - 1. assign V453217 = V281662 + 1. assign V907512 = V375198 + 1. assign V996422 = V450239 - 1. assign V082853 = V392347. assign V589961 = V681800 - 1. assign V486953 = V392276 - 1. assign V294712 = V157183 - 1. assign V067443 = V432869. assign V613248 = V280147 - 1. assign V236146 = V620114. assign V520111 = V620114 - 1. assign V001789 = V701531 - 1. assign V689481 = V138668. assign V854092 = V392276 + 1. assign V111386 = V681800 + 1. assign V466114 = V836693 + 1. assign V493510 = V392347 + 1. assign V117584 = V140173. assign V546662 = V571592 + 1. assign V462801 = V249688. assign V114279 = V614335. assign V107046 = V444410. assign V392276 = V055383 + 1. assign V563792 = V014152 - 1. assign V758234 = V392276 - 1. assign V444410 = V891506. assign V767918 = V848153 - 1. assign V797409 = V014428. assign V157183 = V914251 + 1. assign V658248 = V039012 - 1. assign V689394 = V724598. assign V280851 = V341404 - 1. assign V661981 = V724598 + 1. assign V018406 = V193771. assign V999929 = V975198 + 1. assign V799469 = V975198. assign V975259 = V432869 - 1. assign V940080 = V312598 - 1. assign V912411 = V708572. assign V392347 = V614335 - 1. assign V182039 = V299384 + 1. assign V432869 = V920979 - 1. assign V882425 = V926888. assign V193771 = V039012 + 1. assign V950645 = V920979 + 1. assign V329924 = V724598 - 1. assign V169947 = V312598. assign V139444 = V312598. assign V439125 = V975198. assign V169544 = V799469 - 1. assign V910243 = V724598. assign V262102 = V059286 + 1. assign V623496 = V158569. assign V810314 = V811188 + 1. assign V620224 = V107046 + 1. assign V524750 = V108608 + 1. assign V806001 = V193771. assign V474829 = V563792. assign V059286 = V920979. assign V928731 = V236146 - 1. assign V938272 = V167133 - 1. assign V708572 = V444410. assign V424218 = V108608 + 1. assign V275641 = V474829. assign V055383 = V444410. assign V133032 = V513578. assign V375198 = V307587. assign V122465 = V474829. assign V195274 = V818175 + 1. assign V293299 = V312598 - 1. assign V281662 = V708572. assign V014428 = V307587 - 1. assign V895999 = V707566. assign V072421 = V506567. assign V571592 = V764736 - 1. assign V511877 = V122465 - 1. assign V039763 = V513578. assign V926888 = V334760 - 1. assign V358479 = V014428. assign V255910 = V169544 - 1. assign V920979 = V014152. assign V965051 = V989056 - 1. assign V018473 = V511877 + 1. assign V770545 = V014428. assign V848153 = V169544 - 1. assign V488960 = V707566 - 1. assign V138668 = V818175. assign V459707 = V799469. assign V044105 = V055383. assign V681800 = V563792. assign V724598 = V799469. assign V963172 = V895999 - 1. assign V821879 = V614335 - 1. assign V330173 = V255910. assign V852443 = V450239 + 1. assign V546353 = V138668 - 1. assign V450239 = V444410. assign V312598 = V989056 + 1. assign V612644 = V563792. assign V902632 = V799469 - 1. assign V039012 = V334760 + 1. assign V573645 = V114279 - 1. assign V608108 = V681800 + 1. assign V334760 = V975198. assign V295551 = V650887 - 1. assign V625842 = V107046 + 1. assign V639041 = V169544 + 1. assign V624038 = V295551. assign V701531 = V392347 + 1. assign V158569 = V799469 - 1. assign V702063 = V474829. assign V434333 = V280147 - 1. assign V511808 = V608108 - 1. assign V012861 = V158569 - 1. assign V085113 = V055383 + 1. assign V710035 = V157183. assign V773168 = V439125 - 1. assign V966561 = V450239 - 1. assign V513578 = V614335 - 1. assign V897107 = V195274 - 1. assign V818175 = V563792 - 1. assign V707566 = V902632 + 1. assign V344155 = V392276. assign V975198 = V014152 - 1. assign V890007 = V307587 - 1. assign V280147 = V334760 - 1. assign V170727 = V341404 - 1. assign V377302 = V169544 - 1. assign V299384 = V392276 - 1. assign V108608 = V546353 + 1. assign V891506 = V975198 + 1. assign V506567 = V625842 - 1. assign V156601 = V444410 - 1. assign V163561 = V138668. assign V501137 = V890007 + 1. assign V583933 = V249688. assign V536159 = V914251 - 1. assign V307587 = V975198 + 1. assign V249688 = V724598 + 1. assign V614335 = V439125. assign V027758 = V963172. assign V877283 = V170727 + 1. assign V607006 = V501137 + 1. assign V488781 = V312598 + 1. assign V620114 = V195274.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V725981 = V158569. assign V514473 = V563792. assign V201708 = V138668 - 1. assign V496279 = V724598 - 1. assign V092012 = V528068 + 1. assign V059617 = V818175 + 1. assign V914251 = V912411 - 1. assign V764736 = V059617 + 1. assign V650887 = V563792 + 1. assign V023089 = V474829 + 1. assign V989056 = V975198 - 1. assign V207183 = V432869 + 1. assign V140173 = 6. assign V465581 = V107046 - 1. assign V816882 = V811188 + 1. assign V255901 = V059617 + 1. assign V341404 = V167133 - 1. assign V824217 = V938272. assign V438821 = V280851 - 1. assign V948460 = V156601 + 1. assign V528068 = V138668 + 1. assign V811188 = V963172. assign V167133 = V280147 + 1. assign V489815 = V902632 + 1. assign V836693 = V513578. assign V969909 = V948460 - 1. assign V289404 = V358479 - 1. assign V453217 = V281662 + 1. assign V907512 = V375198 + 1. assign V996422 = V450239 - 1. assign V082853 = V392347. assign V589961 = V681800 - 1. assign V486953 = V392276 - 1. assign V294712 = V157183 - 1. assign V067443 = V432869. assign V613248 = V280147 - 1. assign V236146 = V620114. assign V520111 = V620114 - 1. assign V001789 = V701531 - 1. assign V689481 = V138668. assign V854092 = V392276 + 1. assign V111386 = V681800 + 1. assign V466114 = V836693 + 1. assign V493510 = V392347 + 1. assign V117584 = V140173. assign V546662 = V571592 + 1. assign V462801 = V249688. assign V114279 = V614335. assign V107046 = V444410. assign V392276 = V055383 + 1. assign V563792 = V014152 - 1. assign V758234 = V392276 - 1. assign V444410 = V891506. assign V767918 = V848153 - 1. assign V797409 = V014428. assign V157183 = V914251 + 1. assign V658248 = V039012 - 1. assign V689394 = V724598. assign V280851 = V341404 - 1. assign V661981 = V724598 + 1. assign V018406 = V193771. assign V999929 = V975198 + 1. assign V799469 = V975198. assign V975259 = V432869 - 1. assign V940080 = V312598 - 1. assign V912411 = V708572. assign V392347 = V614335 - 1. assign V182039 = V299384 + 1. assign V432869 = V920979 - 1. assign V882425 = V926888. assign V193771 = V039012 + 1. assign V950645 = V920979 + 1. assign V329924 = V724598 - 1. assign V169947 = V312598. assign V139444 = V312598. assign V439125 = V975198. assign V169544 = V799469 - 1. assign V910243 = V724598. assign V262102 = V059286 + 1. assign V623496 = V158569. assign V810314 = V811188 + 1. assign V620224 = V107046 + 1. assign V524750 = V108608 + 1. assign V806001 = V193771. assign V474829 = V563792. assign V059286 = V920979. assign V928731 = V236146 - 1. assign V938272 = V167133 - 1. assign V708572 = V444410. assign V424218 = V108608 + 1. assign V275641 = V474829. assign V055383 = V444410. assign V133032 = V513578. assign V375198 = V307587. assign V122465 = V474829. assign V195274 = V818175 + 1. assign V293299 = V312598 - 1. assign V281662 = V708572. assign V014428 = V307587 - 1. assign V895999 = V707566. assign V072421 = V506567. assign V571592 = V764736 - 1. assign V511877 = V122465 - 1. assign V039763 = V513578. assign V926888 = V334760 - 1. assign V358479 = V014428. assign V255910 = V169544 - 1. assign V920979 = V014152. assign V965051 = V989056 - 1. assign V018473 = V511877 + 1. assign V770545 = V014428. assign V848153 = V169544 - 1. assign V488960 = V707566 - 1. assign V138668 = V818175. assign V459707 = V799469. assign V044105 = V055383. assign V681800 = V563792. assign V724598 = V799469. assign V963172 = V895999 - 1. assign V821879 = V614335 - 1. assign V330173 = V255910. assign V852443 = V450239 + 1. assign V546353 = V138668 - 1. assign V450239 = V444410. assign V312598 = V989056 + 1. assign V612644 = V563792. assign V902632 = V799469 - 1. assign V039012 = V334760 + 1. assign V573645 = V114279 - 1. assign V608108 = V681800 + 1. assign V334760 = V975198. assign V295551 = V650887 - 1. assign V625842 = V107046 + 1. assign V639041 = V169544 + 1. assign V624038 = V295551. assign V701531 = V392347 + 1. assign V158569 = V799469 - 1. assign V702063 = V474829. assign V434333 = V280147 - 1. assign V511808 = V608108 - 1. assign V012861 = V158569 - 1. assign V085113 = V055383 + 1. assign V710035 = V157183. assign V773168 = V439125 - 1. assign V966561 = V450239 - 1. assign V513578 = V614335 - 1. assign V897107 = V195274 - 1. assign V818175 = V563792 - 1. assign V707566 = V902632 + 1. assign V344155 = V392276. assign V975198 = V014152 - 1. assign V890007 = V307587 - 1. assign V280147 = V334760 - 1. assign V170727 = V341404 - 1. assign V377302 = V169544 - 1. assign V299384 = V392276 - 1. assign V108608 = V546353 + 1. assign V891506 = V975198 + 1. assign V506567 = V625842 - 1. assign V156601 = V444410 - 1. assign V163561 = V138668. assign V501137 = V890007 + 1. assign V583933 = V249688. assign V536159 = V914251 - 1. assign V307587 = V975198 + 1. assign V249688 = V724598 + 1. assign V614335 = V439125. assign V027758 = V963172. assign V877283 = V170727 + 1. assign V607006 = V501137 + 1. assign V488781 = V312598 + 1. assign V620114 = V195274.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV140173 = 6;\n\nFrom these direct assignment(s), we have: \nV117584 = V140173 = 6;\nNo other variables can be derived from V117584;\nNo other variables can be derived from V140173;\n\nNow we have done all the calculations. Derived variables are:\nV140173 = 6;\nV117584 = 6;\n\nNow we have finished this problem. ANSWER:\nV140173, V117584\n", "role": "assistant" } ]

[ "V318714" ]

[ { "content": "<context>\nassign V569587 = V693107 - 1. assign V566935 = V975237 - 1. assign V368773 = V670834 + 1. assign V260307 = V427212. assign V020802 = V441524. assign V781320 = V975237 + 1. assign V165493 = V126027 - 1. assign V898066 = V571601. assign V763375 = V586196. assign V637118 = V955228 + 1. assign V804941 = V410000 - 1. assign V831162 = V410000. assign V560266 = V475458 - 1. assign V343758 = V904237 - 1. assign V551231 = V818632 - 1. assign V294646 = V126027. assign V614562 = V831594 + 1. assign V676842 = V398857 + 1. assign V769040 = V569587 + 1. assign V216013 = V818632 - 1. assign V844701 = V994193 - 1. assign V749966 = V148820. assign V975237 = V260097 - 1. assign V677811 = V693107. assign V754805 = V260097. assign V493623 = V242133 - 1. assign V375888 = V831162 + 1. assign V837340 = V975237 + 1. assign V527285 = V336091. assign V311156 = V614562. assign V427413 = V282267. assign V374909 = V364072. assign V107751 = V429087. assign V981779 = V391157 - 1. assign V293543 = V955228 - 1. assign V996914 = V569587. assign V724969 = V042393 - 1. assign V507729 = V042814. assign V433067 = V196103 + 1. assign V359082 = V378408. assign V148820 = V126027. assign V969796 = V374909 + 1. assign V282267 = V410000 + 1. assign V614457 = V020802 + 1. assign V870139 = V359082 + 1. assign V302147 = V201453 - 1. assign V451966 = V754805. assign V217120 = V374909 + 1. assign V019561 = V187946 - 1. assign V761571 = V427212. assign V495121 = V904237. assign V415433 = V560266 + 1. assign V923757 = V318714 - 1. assign V772743 = V837340 - 1. assign V752673 = V493904 - 1. assign V250491 = V374909. assign V285716 = V975237 + 1. assign V820494 = V375888. assign V089025 = V285716. assign V094168 = V968974. assign V115999 = V754805 - 1. assign V831594 = V336091 - 1. assign V273621 = V554360 - 1. assign V575640 = V027483 - 1. assign V953032 = V242133. assign V419658 = V078099 - 1. assign V255025 = V273621. assign V318714 = 4. assign V126064 = V196103 + 1. assign V862072 = V161936. assign V592168 = V676842. assign V950158 = V260097. assign V862829 = V831162. assign V522479 = V831594. assign V128041 = V250491 - 1. assign V263186 = V586196. assign V427212 = V378408 - 1. assign V586196 = V285716 + 1. assign V766734 = V831594 + 1. assign V201453 = V374909. assign V017846 = V719256 - 1. assign V196103 = V285716 + 1. assign V242133 = V148820 + 1. assign V049941 = V260097 - 1. assign V675867 = V255025. assign V483124 = V965103 - 1. assign V629660 = V128041. assign V484542 = V217120. assign V748594 = V475458 - 1. assign V126027 = V285716 + 1. assign V693107 = V728774. assign V466538 = V788640 + 1. assign V840366 = V020802 + 1. assign V818632 = V250491 + 1. assign V506650 = V255025 + 1. assign V253874 = V862072 - 1. assign V788640 = V781320 + 1. assign V027293 = V818632 - 1. assign V336091 = V126027. assign V107534 = V201453 + 1. assign V670834 = V586196. assign V697976 = V109137 - 1. assign V201685 = V250491 - 1. assign V215702 = V693107 + 1. assign V270355 = V472681 + 1. assign V719256 = V281515. assign V027483 = V677811. assign V078099 = V996914 - 1. assign V441524 = V831594 - 1. assign V657792 = V250491 - 1. assign V994193 = V201453 + 1. assign V752233 = V364072. assign V805457 = V045609. assign V042393 = V569587 - 1. assign V429087 = V831162 - 1. assign V226064 = V201453 - 1. assign V955228 = V769040 - 1. assign V472681 = V410000. assign V897774 = V675867 + 1. assign V614316 = V904237 - 1. assign V042814 = V410000. assign V840439 = V506650 - 1. assign V256059 = V375888 + 1. assign V045609 = V495121 - 1. assign V981477 = V302147 - 1. assign V867958 = V302565. assign V342370 = V870139. assign V352462 = V128041 - 1. assign V860389 = V263186. assign V753080 = V448394 + 1. assign V965103 = V336091 - 1. assign V732877 = V495121 + 1. assign V068245 = V867958. assign V870163 = V378408 - 1. assign V780242 = V045609 - 1. assign V378408 = V693107. assign V187946 = V904237. assign V110421 = V831594. assign V495311 = V216013 - 1. assign V669609 = V571601 + 1. assign V410000 = V126027 - 1. assign V445094 = V818632. assign V259000 = V614316 - 1. assign V398857 = V410000. assign V728774 = V260097 - 1. assign V192385 = V336091 - 1. assign V302565 = V196103 + 1. assign V904237 = V336091 - 1. assign V644275 = V285716 - 1. assign V281515 = V693107. assign V109137 = V419658 + 1. assign V008945 = V831594 - 1. assign V391157 = V719256 - 1. assign V792520 = V359082. assign V237453 = V364072. assign V364072 = V260097. assign V083955 = V763375. assign V493904 = V263186 - 1. assign V287684 = V078099. assign V905761 = V201685. assign V703087 = V996914 - 1. assign V893236 = V083955 - 1. assign V333036 = V242133 + 1. assign V554360 = V126027 + 1. assign V968974 = V818632. assign V448394 = V398857 - 1. assign V161936 = V201685. assign V743539 = V263186. assign V475458 = V242133 + 1. assign V571601 = V493623 - 1. assign V780901 = V126027 - 1. assign V922649 = V374909 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V569587 = V693107 - 1. assign V566935 = V975237 - 1. assign V368773 = V670834 + 1. assign V260307 = V427212. assign V020802 = V441524. assign V781320 = V975237 + 1. assign V165493 = V126027 - 1. assign V898066 = V571601. assign V763375 = V586196. assign V637118 = V955228 + 1. assign V804941 = V410000 - 1. assign V831162 = V410000. assign V560266 = V475458 - 1. assign V343758 = V904237 - 1. assign V551231 = V818632 - 1. assign V294646 = V126027. assign V614562 = V831594 + 1. assign V676842 = V398857 + 1. assign V769040 = V569587 + 1. assign V216013 = V818632 - 1. assign V844701 = V994193 - 1. assign V749966 = V148820. assign V975237 = V260097 - 1. assign V677811 = V693107. assign V754805 = V260097. assign V493623 = V242133 - 1. assign V375888 = V831162 + 1. assign V837340 = V975237 + 1. assign V527285 = V336091. assign V311156 = V614562. assign V427413 = V282267. assign V374909 = V364072. assign V107751 = V429087. assign V981779 = V391157 - 1. assign V293543 = V955228 - 1. assign V996914 = V569587. assign V724969 = V042393 - 1. assign V507729 = V042814. assign V433067 = V196103 + 1. assign V359082 = V378408. assign V148820 = V126027. assign V969796 = V374909 + 1. assign V282267 = V410000 + 1. assign V614457 = V020802 + 1. assign V870139 = V359082 + 1. assign V302147 = V201453 - 1. assign V451966 = V754805. assign V217120 = V374909 + 1. assign V019561 = V187946 - 1. assign V761571 = V427212. assign V495121 = V904237. assign V415433 = V560266 + 1. assign V923757 = V318714 - 1. assign V772743 = V837340 - 1. assign V752673 = V493904 - 1. assign V250491 = V374909. assign V285716 = V975237 + 1. assign V820494 = V375888. assign V089025 = V285716. assign V094168 = V968974. assign V115999 = V754805 - 1. assign V831594 = V336091 - 1. assign V273621 = V554360 - 1. assign V575640 = V027483 - 1. assign V953032 = V242133. assign V419658 = V078099 - 1. assign V255025 = V273621. assign V318714 = 4. assign V126064 = V196103 + 1. assign V862072 = V161936. assign V592168 = V676842. assign V950158 = V260097. assign V862829 = V831162. assign V522479 = V831594. assign V128041 = V250491 - 1. assign V263186 = V586196. assign V427212 = V378408 - 1. assign V586196 = V285716 + 1. assign V766734 = V831594 + 1. assign V201453 = V374909. assign V017846 = V719256 - 1. assign V196103 = V285716 + 1. assign V242133 = V148820 + 1. assign V049941 = V260097 - 1. assign V675867 = V255025. assign V483124 = V965103 - 1. assign V629660 = V128041. assign V484542 = V217120. assign V748594 = V475458 - 1. assign V126027 = V285716 + 1. assign V693107 = V728774. assign V466538 = V788640 + 1. assign V840366 = V020802 + 1. assign V818632 = V250491 + 1. assign V506650 = V255025 + 1. assign V253874 = V862072 - 1. assign V788640 = V781320 + 1. assign V027293 = V818632 - 1. assign V336091 = V126027. assign V107534 = V201453 + 1. assign V670834 = V586196. assign V697976 = V109137 - 1. assign V201685 = V250491 - 1. assign V215702 = V693107 + 1. assign V270355 = V472681 + 1. assign V719256 = V281515. assign V027483 = V677811. assign V078099 = V996914 - 1. assign V441524 = V831594 - 1. assign V657792 = V250491 - 1. assign V994193 = V201453 + 1. assign V752233 = V364072. assign V805457 = V045609. assign V042393 = V569587 - 1. assign V429087 = V831162 - 1. assign V226064 = V201453 - 1. assign V955228 = V769040 - 1. assign V472681 = V410000. assign V897774 = V675867 + 1. assign V614316 = V904237 - 1. assign V042814 = V410000. assign V840439 = V506650 - 1. assign V256059 = V375888 + 1. assign V045609 = V495121 - 1. assign V981477 = V302147 - 1. assign V867958 = V302565. assign V342370 = V870139. assign V352462 = V128041 - 1. assign V860389 = V263186. assign V753080 = V448394 + 1. assign V965103 = V336091 - 1. assign V732877 = V495121 + 1. assign V068245 = V867958. assign V870163 = V378408 - 1. assign V780242 = V045609 - 1. assign V378408 = V693107. assign V187946 = V904237. assign V110421 = V831594. assign V495311 = V216013 - 1. assign V669609 = V571601 + 1. assign V410000 = V126027 - 1. assign V445094 = V818632. assign V259000 = V614316 - 1. assign V398857 = V410000. assign V728774 = V260097 - 1. assign V192385 = V336091 - 1. assign V302565 = V196103 + 1. assign V904237 = V336091 - 1. assign V644275 = V285716 - 1. assign V281515 = V693107. assign V109137 = V419658 + 1. assign V008945 = V831594 - 1. assign V391157 = V719256 - 1. assign V792520 = V359082. assign V237453 = V364072. assign V364072 = V260097. assign V083955 = V763375. assign V493904 = V263186 - 1. assign V287684 = V078099. assign V905761 = V201685. assign V703087 = V996914 - 1. assign V893236 = V083955 - 1. assign V333036 = V242133 + 1. assign V554360 = V126027 + 1. assign V968974 = V818632. assign V448394 = V398857 - 1. assign V161936 = V201685. assign V743539 = V263186. assign V475458 = V242133 + 1. assign V571601 = V493623 - 1. assign V780901 = V126027 - 1. assign V922649 = V374909 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV318714 = 4;\n\nFrom these direct assignment(s), we have: \nV923757 = V318714 - 1 = 4 - 1 =3;\nNo other variables can be derived from V923757;\nNo other variables can be derived from V318714;\n\nNow we have done all the calculations. Derived variables are:\nV318714 = 4;\nV923757 = 3;\n\nNow we have finished this problem. ANSWER:\nV318714\n", "role": "assistant" } ]

[ "V494278" ]

[ { "content": "<context>\nassign V790228 = V420187. assign V918664 = V564354 - 1. assign V503400 = V857724 + 1. assign V730420 = V658967 + 1. assign V327795 = V602375 + 1. assign V379728 = V279317 + 1. assign V916718 = V602375. assign V902267 = V589496 - 1. assign V378552 = V271364. assign V633046 = V088732 - 1. assign V775347 = V826077 - 1. assign V905364 = V225341 + 1. assign V494278 = 0. assign V500445 = V902267 + 1. assign V274476 = V213825 - 1. assign V778949 = V793526. assign V391707 = V465739. assign V530182 = V704787. assign V502976 = V589496 - 1. assign V757211 = V392162 - 1. assign V593648 = V494278 + 1. assign V508317 = V602375 + 1. assign V619542 = V506480. assign V480087 = V225341 - 1. assign V397973 = V673582 - 1. assign V438148 = V855382 - 1. assign V358840 = V397973 - 1. assign V213825 = V730420 - 1. assign V717612 = V480087 - 1. assign V383855 = V013490 - 1. assign V060258 = V225341 - 1. assign V386553 = V643675. assign V826077 = V060258 - 1. assign V085322 = V667690. assign V075581 = V039299. assign V221199 = V904664 + 1. assign V948179 = V060258 + 1. assign V460819 = V365103 - 1. assign V944130 = V148923 - 1. assign V407421 = V124886 + 1. assign V735043 = V849779 + 1. assign V153171 = V241758 + 1. assign V312748 = V422697 + 1. assign V857724 = V647272 + 1. assign V557544 = V455300. assign V449179 = V465739 + 1. assign V267367 = V619542 + 1. assign V445502 = V435561. assign V731350 = V855382 - 1. assign V602456 = V379728. assign V984269 = V953000 + 1. assign V013490 = V508609 + 1. assign V673582 = V392162. assign V181542 = V585100. assign V745345 = V793526. assign V350465 = V949501. assign V120548 = V506480 + 1. assign V219212 = V822504. assign V661983 = V602375. assign V503630 = V490752 + 1. assign V098074 = V667846 - 1. assign V444516 = V502976 - 1. assign V465739 = V480087 - 1. assign V271364 = V667846 - 1. assign V687583 = V213825 + 1. assign V904209 = V730420 + 1. assign V748183 = V673582 - 1. assign V667846 = V589496. assign V949501 = V480087 - 1. assign V162621 = V480087 - 1. assign V271954 = V312748 + 1. assign V602375 = V060258. assign V759020 = V793526 + 1. assign V596276 = V658967. assign V953000 = V730420 - 1. assign V068592 = V948179 + 1. assign V667690 = V050796 + 1. assign V050796 = V730420 + 1. assign V643675 = V506942 + 1. assign V164727 = V139582. assign V422697 = V145750 - 1. assign V392162 = V658967. assign V783571 = V904209 - 1. assign V506942 = V145750. assign V589496 = V948179 + 1. assign V490752 = V948179 - 1. assign V669432 = V249866. assign V147997 = V916718 + 1. assign V793526 = V508609 - 1. assign V054355 = V392162. assign V431386 = V397973 + 1. assign V608414 = V928606 + 1. assign V769411 = V383855 - 1. assign V249866 = V902267 + 1. assign V577152 = V251437. assign V761488 = V673582. assign V681789 = V422697. assign V855382 = V905364 - 1. assign V618293 = V449179. assign V027649 = V717612 - 1. assign V932415 = V185239 - 1. assign V782077 = V480087. assign V227041 = V083167. assign V124886 = V667846. assign V388985 = V139582 + 1. assign V378748 = V508609. assign V364469 = V060258 + 1. assign V461047 = V084293 + 1. assign V913576 = V782077. assign V185239 = V327795 + 1. assign V697110 = V445502 + 1. assign V394717 = V392162 + 1. assign V241758 = V162621 - 1. assign V387180 = V139582. assign V669417 = V855382 + 1. assign V420187 = V735043 - 1. assign V236852 = V383855. assign V139582 = V480087 + 1. assign V257253 = V502277 + 1. assign V812581 = V782077. assign V502277 = V271364. assign V767213 = V498042 + 1. assign V205567 = V139582. assign V365103 = V757211 - 1. assign V822504 = V225341. assign V068800 = V327795 - 1. assign V928606 = V822504 + 1. assign V188251 = V490752 - 1. assign V585100 = V068800 - 1. assign V672102 = V822504. assign V704787 = V490752. assign V413584 = V392162 + 1. assign V127404 = V148923 + 1. assign V564354 = V717612 + 1. assign V498042 = V508609 + 1. assign V555134 = V465739 - 1. assign V039299 = V759020 + 1. assign V225341 = V392162 - 1. assign V435561 = V905364. assign V506480 = V953000 + 1. assign V083194 = V383855. assign V962570 = V241758. assign V145750 = V717612 - 1. assign V392714 = V730420 - 1. assign V837959 = V826077. assign V508609 = V392162 + 1. assign V904664 = V643675 + 1. assign V285089 = V054355. assign V719126 = V219212 + 1. assign V426352 = V953000 + 1. assign V346914 = V769411 + 1. assign V088732 = V241758 + 1. assign V456156 = V589496 + 1. assign V508349 = V577152 + 1. assign V553675 = V068592. assign V251437 = V438148. assign V727753 = V379728. assign V185679 = V236852 + 1. assign V671027 = V643675. assign V289563 = V767213 - 1. assign V148923 = V084293. assign V084293 = V849779 + 1. assign V647272 = V735043 - 1. assign V849779 = V589496 + 1. assign V083167 = V761488 + 1. assign V743760 = V769411. assign V750116 = V455300 - 1. assign V632764 = V397973. assign V489723 = V822504 + 1. assign V455300 = V383855. assign V279317 = V508609 - 1. assign V760264 = V249866 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V790228 = V420187. assign V918664 = V564354 - 1. assign V503400 = V857724 + 1. assign V730420 = V658967 + 1. assign V327795 = V602375 + 1. assign V379728 = V279317 + 1. assign V916718 = V602375. assign V902267 = V589496 - 1. assign V378552 = V271364. assign V633046 = V088732 - 1. assign V775347 = V826077 - 1. assign V905364 = V225341 + 1. assign V494278 = 0. assign V500445 = V902267 + 1. assign V274476 = V213825 - 1. assign V778949 = V793526. assign V391707 = V465739. assign V530182 = V704787. assign V502976 = V589496 - 1. assign V757211 = V392162 - 1. assign V593648 = V494278 + 1. assign V508317 = V602375 + 1. assign V619542 = V506480. assign V480087 = V225341 - 1. assign V397973 = V673582 - 1. assign V438148 = V855382 - 1. assign V358840 = V397973 - 1. assign V213825 = V730420 - 1. assign V717612 = V480087 - 1. assign V383855 = V013490 - 1. assign V060258 = V225341 - 1. assign V386553 = V643675. assign V826077 = V060258 - 1. assign V085322 = V667690. assign V075581 = V039299. assign V221199 = V904664 + 1. assign V948179 = V060258 + 1. assign V460819 = V365103 - 1. assign V944130 = V148923 - 1. assign V407421 = V124886 + 1. assign V735043 = V849779 + 1. assign V153171 = V241758 + 1. assign V312748 = V422697 + 1. assign V857724 = V647272 + 1. assign V557544 = V455300. assign V449179 = V465739 + 1. assign V267367 = V619542 + 1. assign V445502 = V435561. assign V731350 = V855382 - 1. assign V602456 = V379728. assign V984269 = V953000 + 1. assign V013490 = V508609 + 1. assign V673582 = V392162. assign V181542 = V585100. assign V745345 = V793526. assign V350465 = V949501. assign V120548 = V506480 + 1. assign V219212 = V822504. assign V661983 = V602375. assign V503630 = V490752 + 1. assign V098074 = V667846 - 1. assign V444516 = V502976 - 1. assign V465739 = V480087 - 1. assign V271364 = V667846 - 1. assign V687583 = V213825 + 1. assign V904209 = V730420 + 1. assign V748183 = V673582 - 1. assign V667846 = V589496. assign V949501 = V480087 - 1. assign V162621 = V480087 - 1. assign V271954 = V312748 + 1. assign V602375 = V060258. assign V759020 = V793526 + 1. assign V596276 = V658967. assign V953000 = V730420 - 1. assign V068592 = V948179 + 1. assign V667690 = V050796 + 1. assign V050796 = V730420 + 1. assign V643675 = V506942 + 1. assign V164727 = V139582. assign V422697 = V145750 - 1. assign V392162 = V658967. assign V783571 = V904209 - 1. assign V506942 = V145750. assign V589496 = V948179 + 1. assign V490752 = V948179 - 1. assign V669432 = V249866. assign V147997 = V916718 + 1. assign V793526 = V508609 - 1. assign V054355 = V392162. assign V431386 = V397973 + 1. assign V608414 = V928606 + 1. assign V769411 = V383855 - 1. assign V249866 = V902267 + 1. assign V577152 = V251437. assign V761488 = V673582. assign V681789 = V422697. assign V855382 = V905364 - 1. assign V618293 = V449179. assign V027649 = V717612 - 1. assign V932415 = V185239 - 1. assign V782077 = V480087. assign V227041 = V083167. assign V124886 = V667846. assign V388985 = V139582 + 1. assign V378748 = V508609. assign V364469 = V060258 + 1. assign V461047 = V084293 + 1. assign V913576 = V782077. assign V185239 = V327795 + 1. assign V697110 = V445502 + 1. assign V394717 = V392162 + 1. assign V241758 = V162621 - 1. assign V387180 = V139582. assign V669417 = V855382 + 1. assign V420187 = V735043 - 1. assign V236852 = V383855. assign V139582 = V480087 + 1. assign V257253 = V502277 + 1. assign V812581 = V782077. assign V502277 = V271364. assign V767213 = V498042 + 1. assign V205567 = V139582. assign V365103 = V757211 - 1. assign V822504 = V225341. assign V068800 = V327795 - 1. assign V928606 = V822504 + 1. assign V188251 = V490752 - 1. assign V585100 = V068800 - 1. assign V672102 = V822504. assign V704787 = V490752. assign V413584 = V392162 + 1. assign V127404 = V148923 + 1. assign V564354 = V717612 + 1. assign V498042 = V508609 + 1. assign V555134 = V465739 - 1. assign V039299 = V759020 + 1. assign V225341 = V392162 - 1. assign V435561 = V905364. assign V506480 = V953000 + 1. assign V083194 = V383855. assign V962570 = V241758. assign V145750 = V717612 - 1. assign V392714 = V730420 - 1. assign V837959 = V826077. assign V508609 = V392162 + 1. assign V904664 = V643675 + 1. assign V285089 = V054355. assign V719126 = V219212 + 1. assign V426352 = V953000 + 1. assign V346914 = V769411 + 1. assign V088732 = V241758 + 1. assign V456156 = V589496 + 1. assign V508349 = V577152 + 1. assign V553675 = V068592. assign V251437 = V438148. assign V727753 = V379728. assign V185679 = V236852 + 1. assign V671027 = V643675. assign V289563 = V767213 - 1. assign V148923 = V084293. assign V084293 = V849779 + 1. assign V647272 = V735043 - 1. assign V849779 = V589496 + 1. assign V083167 = V761488 + 1. assign V743760 = V769411. assign V750116 = V455300 - 1. assign V632764 = V397973. assign V489723 = V822504 + 1. assign V455300 = V383855. assign V279317 = V508609 - 1. assign V760264 = V249866 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV494278 = 0;\n\nFrom these direct assignment(s), we have: \nV593648 = V494278 + 1 = 0 + 1 =1;\nNo other variables can be derived from V593648;\nNo other variables can be derived from V494278;\n\nNow we have done all the calculations. Derived variables are:\nV494278 = 0;\nV593648 = 1;\n\nNow we have finished this problem. ANSWER:\nV494278\n", "role": "assistant" } ]

[ "V893078", "V073424" ]

[ { "content": "<context>\nassign V947272 = V724263 - 1. assign V759898 = V211043 - 1. assign V266648 = V494055 + 1. assign V875204 = V866318 - 1. assign V505575 = V212210 - 1. assign V487673 = V780378. assign V624875 = V876697. assign V202076 = V228909 - 1. assign V517063 = V672339 - 1. assign V074744 = V911042 + 1. assign V079480 = V342380. assign V284984 = V682552 + 1. assign V803599 = V507076. assign V942362 = V066555 + 1. assign V000104 = V394280 - 1. assign V078133 = V668117 + 1. assign V437466 = V173404 + 1. assign V173404 = V991771. assign V390409 = V240553 - 1. assign V449855 = V919976 - 1. assign V070269 = V759674. assign V601309 = V268758. assign V708281 = V937156 + 1. assign V342380 = V696478 - 1. assign V501010 = V507076. assign V000497 = V950191 + 1. assign V903511 = V342380 - 1. assign V780378 = V266648 + 1. assign V223722 = V446658 - 1. assign V876697 = V843372. assign V613770 = V507076. assign V364493 = V553511. assign V504220 = V847837 - 1. assign V363199 = V538478 - 1. assign V365846 = V188787. assign V855774 = V228909 - 1. assign V893078 = 9. assign V228909 = V173404 + 1. assign V526871 = V724263 - 1. assign V340059 = V173404 - 1. assign V546377 = V724263. assign V467964 = V526871. assign V773978 = V235188 - 1. assign V027937 = V494055. assign V125258 = V491072. assign V919976 = V188787 - 1. assign V169104 = V942362 - 1. assign V066555 = V696478 + 1. assign V119835 = V074744 + 1. assign V937156 = V682552 + 1. assign V027006 = V601309. assign V830041 = V682552. assign V250204 = V494055. assign V843372 = V066316 - 1. assign V911042 = V866318 - 1. assign V538478 = V702571 + 1. assign V686444 = V616482 - 1. assign V276610 = V553511. assign V724263 = V866318. assign V971436 = V181263. assign V397505 = V505575 - 1. assign V472880 = V803599. assign V866318 = V066555 + 1. assign V558100 = V588096 + 1. assign V032438 = V696478. assign V950191 = V884920 + 1. assign V954081 = V705835 + 1. assign V251485 = V494055. assign V078070 = V875204 + 1. assign V236565 = V079480. assign V068494 = V188787. assign V212210 = V066555. assign V400224 = V504220 + 1. assign V132214 = V991771 - 1. assign V440495 = V066555 - 1. assign V178221 = V803599 + 1. assign V108554 = V507076. assign V196343 = V724263 - 1. assign V494055 = V188787 + 1. assign V682552 = V365846. assign V938933 = V250204 - 1. assign V502560 = V228909 - 1. assign V702571 = V724225 + 1. assign V884920 = V507076 + 1. assign V616482 = V991771 + 1. assign V136063 = V173404 + 1. assign V771296 = V724263. assign V672339 = V841975. assign V553511 = V173404 - 1. assign V759674 = V829434 - 1. assign V568638 = V266648 + 1. assign V274171 = V259954 - 1. assign V311272 = V875204. assign V471770 = V078070 - 1. assign V288720 = V136063 + 1. assign V819281 = V773978 - 1. assign V299463 = V284984 + 1. assign V173024 = V991771 - 1. assign V284275 = V504220 - 1. assign V147840 = V553511 + 1. assign V073424 = V893078. assign V567411 = V173404. assign V533597 = V132214 + 1. assign V588096 = V074744 + 1. assign V074587 = V553511 - 1. assign V772629 = V702571 + 1. assign V696478 = V365846 + 1. assign V302837 = V032438. assign V705835 = V365846 + 1. assign V403334 = V601309 - 1. assign V491072 = V780378. assign V152212 = V228909 + 1. assign V774590 = V181263 + 1. assign V656906 = V181263. assign V829434 = V342380 + 1. assign V066316 = V911042 + 1. assign V394280 = V066555 - 1. assign V214686 = V950191. assign V736724 = V572034. assign V839422 = V152212. assign V181263 = V942362. assign V550946 = V553511 - 1. assign V915852 = V132214 - 1. assign V749331 = V467964 + 1. assign V764081 = V504220 - 1. assign V668117 = V472880. assign V446658 = V181263 + 1. assign V724225 = V365846 + 1. assign V349557 = V841975 + 1. assign V507076 = V066555. assign V091423 = V250204 + 1. assign V815352 = V774590 + 1. assign V259954 = V491072 + 1. assign V648145 = V836326 + 1. assign V610316 = V136063 - 1. assign V810096 = V553511 + 1. assign V357579 = V724225 - 1. assign V947246 = V032438. assign V991771 = V440495 - 1. assign V129418 = V682552 - 1. assign V009677 = V223722 - 1. assign V157515 = V546377 - 1. assign V331448 = V736724 - 1. assign V449808 = V078070 + 1. assign V643465 = V000104 - 1. assign V975789 = V507076 + 1. assign V836326 = V437466. assign V734696 = V173404. assign V667729 = V440495 + 1. assign V130770 = V074587. assign V993833 = V136063 - 1. assign V706826 = V357579. assign V211043 = V696478 - 1. assign V734610 = V152212. assign V240553 = V188787. assign V235188 = V937156 - 1. assign V628309 = V504220. assign V714459 = V212210. assign V582997 = V173404 - 1. assign V079157 = V643465 - 1. assign V767037 = V648145. assign V470749 = V460622. assign V460622 = V616482. assign V260972 = V250204. assign V416074 = V068494 + 1. assign V494838 = V394280. assign V718995 = V364493 + 1. assign V847837 = V696478 + 1. assign V183733 = V066555 - 1. assign V268758 = V181263. assign V572034 = V266648 - 1. assign V841975 = V119835.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V947272 = V724263 - 1. assign V759898 = V211043 - 1. assign V266648 = V494055 + 1. assign V875204 = V866318 - 1. assign V505575 = V212210 - 1. assign V487673 = V780378. assign V624875 = V876697. assign V202076 = V228909 - 1. assign V517063 = V672339 - 1. assign V074744 = V911042 + 1. assign V079480 = V342380. assign V284984 = V682552 + 1. assign V803599 = V507076. assign V942362 = V066555 + 1. assign V000104 = V394280 - 1. assign V078133 = V668117 + 1. assign V437466 = V173404 + 1. assign V173404 = V991771. assign V390409 = V240553 - 1. assign V449855 = V919976 - 1. assign V070269 = V759674. assign V601309 = V268758. assign V708281 = V937156 + 1. assign V342380 = V696478 - 1. assign V501010 = V507076. assign V000497 = V950191 + 1. assign V903511 = V342380 - 1. assign V780378 = V266648 + 1. assign V223722 = V446658 - 1. assign V876697 = V843372. assign V613770 = V507076. assign V364493 = V553511. assign V504220 = V847837 - 1. assign V363199 = V538478 - 1. assign V365846 = V188787. assign V855774 = V228909 - 1. assign V893078 = 9. assign V228909 = V173404 + 1. assign V526871 = V724263 - 1. assign V340059 = V173404 - 1. assign V546377 = V724263. assign V467964 = V526871. assign V773978 = V235188 - 1. assign V027937 = V494055. assign V125258 = V491072. assign V919976 = V188787 - 1. assign V169104 = V942362 - 1. assign V066555 = V696478 + 1. assign V119835 = V074744 + 1. assign V937156 = V682552 + 1. assign V027006 = V601309. assign V830041 = V682552. assign V250204 = V494055. assign V843372 = V066316 - 1. assign V911042 = V866318 - 1. assign V538478 = V702571 + 1. assign V686444 = V616482 - 1. assign V276610 = V553511. assign V724263 = V866318. assign V971436 = V181263. assign V397505 = V505575 - 1. assign V472880 = V803599. assign V866318 = V066555 + 1. assign V558100 = V588096 + 1. assign V032438 = V696478. assign V950191 = V884920 + 1. assign V954081 = V705835 + 1. assign V251485 = V494055. assign V078070 = V875204 + 1. assign V236565 = V079480. assign V068494 = V188787. assign V212210 = V066555. assign V400224 = V504220 + 1. assign V132214 = V991771 - 1. assign V440495 = V066555 - 1. assign V178221 = V803599 + 1. assign V108554 = V507076. assign V196343 = V724263 - 1. assign V494055 = V188787 + 1. assign V682552 = V365846. assign V938933 = V250204 - 1. assign V502560 = V228909 - 1. assign V702571 = V724225 + 1. assign V884920 = V507076 + 1. assign V616482 = V991771 + 1. assign V136063 = V173404 + 1. assign V771296 = V724263. assign V672339 = V841975. assign V553511 = V173404 - 1. assign V759674 = V829434 - 1. assign V568638 = V266648 + 1. assign V274171 = V259954 - 1. assign V311272 = V875204. assign V471770 = V078070 - 1. assign V288720 = V136063 + 1. assign V819281 = V773978 - 1. assign V299463 = V284984 + 1. assign V173024 = V991771 - 1. assign V284275 = V504220 - 1. assign V147840 = V553511 + 1. assign V073424 = V893078. assign V567411 = V173404. assign V533597 = V132214 + 1. assign V588096 = V074744 + 1. assign V074587 = V553511 - 1. assign V772629 = V702571 + 1. assign V696478 = V365846 + 1. assign V302837 = V032438. assign V705835 = V365846 + 1. assign V403334 = V601309 - 1. assign V491072 = V780378. assign V152212 = V228909 + 1. assign V774590 = V181263 + 1. assign V656906 = V181263. assign V829434 = V342380 + 1. assign V066316 = V911042 + 1. assign V394280 = V066555 - 1. assign V214686 = V950191. assign V736724 = V572034. assign V839422 = V152212. assign V181263 = V942362. assign V550946 = V553511 - 1. assign V915852 = V132214 - 1. assign V749331 = V467964 + 1. assign V764081 = V504220 - 1. assign V668117 = V472880. assign V446658 = V181263 + 1. assign V724225 = V365846 + 1. assign V349557 = V841975 + 1. assign V507076 = V066555. assign V091423 = V250204 + 1. assign V815352 = V774590 + 1. assign V259954 = V491072 + 1. assign V648145 = V836326 + 1. assign V610316 = V136063 - 1. assign V810096 = V553511 + 1. assign V357579 = V724225 - 1. assign V947246 = V032438. assign V991771 = V440495 - 1. assign V129418 = V682552 - 1. assign V009677 = V223722 - 1. assign V157515 = V546377 - 1. assign V331448 = V736724 - 1. assign V449808 = V078070 + 1. assign V643465 = V000104 - 1. assign V975789 = V507076 + 1. assign V836326 = V437466. assign V734696 = V173404. assign V667729 = V440495 + 1. assign V130770 = V074587. assign V993833 = V136063 - 1. assign V706826 = V357579. assign V211043 = V696478 - 1. assign V734610 = V152212. assign V240553 = V188787. assign V235188 = V937156 - 1. assign V628309 = V504220. assign V714459 = V212210. assign V582997 = V173404 - 1. assign V079157 = V643465 - 1. assign V767037 = V648145. assign V470749 = V460622. assign V460622 = V616482. assign V260972 = V250204. assign V416074 = V068494 + 1. assign V494838 = V394280. assign V718995 = V364493 + 1. assign V847837 = V696478 + 1. assign V183733 = V066555 - 1. assign V268758 = V181263. assign V572034 = V266648 - 1. assign V841975 = V119835.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV893078 = 9;\n\nFrom these direct assignment(s), we have: \nV073424 = V893078 = 9;\nNo other variables can be derived from V073424;\nNo other variables can be derived from V893078;\n\nNow we have done all the calculations. Derived variables are:\nV893078 = 9;\nV073424 = 9;\n\nNow we have finished this problem. ANSWER:\nV893078, V073424\n", "role": "assistant" } ]

[ "V284449" ]

[ { "content": "<context>\nassign V468165 = V372391. assign V397917 = V088395. assign V541457 = V118124 - 1. assign V630260 = V259751. assign V049967 = V565850 - 1. assign V265743 = V048815. assign V227560 = V504752 - 1. assign V936615 = V565850 - 1. assign V048815 = V817861 + 1. assign V899719 = V283609 + 1. assign V273190 = V433353 - 1. assign V372792 = V435942 + 1. assign V283609 = V504752 - 1. assign V112385 = V088395. assign V864950 = V634288. assign V504752 = V817861 + 1. assign V674305 = V811763 - 1. assign V087012 = V810782 + 1. assign V905643 = V565850 - 1. assign V200516 = V143150 + 1. assign V069246 = V076180. assign V600430 = V134813 - 1. assign V737280 = V928956. assign V674945 = V162444 - 1. assign V307933 = V088395 + 1. assign V038791 = V420223 + 1. assign V959047 = V109911. assign V209193 = V904543 + 1. assign V904630 = V436787 - 1. assign V060447 = V162444 + 1. assign V373665 = V483641 + 1. assign V088395 = V565850 + 1. assign V935293 = V109911 + 1. assign V571984 = V143150. assign V710290 = V134813 + 1. assign V965602 = V347918 - 1. assign V817861 = V565850 - 1. assign V782032 = V433353 + 1. assign V305485 = V979764 + 1. assign V722096 = V342982 - 1. assign V420223 = V936615 + 1. assign V023702 = V789581 - 1. assign V993377 = V823999 + 1. assign V419362 = V487147 + 1. assign V340215 = V504752 + 1. assign V986982 = V699703. assign V134813 = V088395 + 1. assign V922547 = V571984 + 1. assign V091612 = V400639 - 1. assign V205655 = V587423 - 1. assign V979764 = V365719 + 1. assign V549868 = V823999 + 1. assign V314706 = V546867. assign V877758 = V369373. assign V444144 = V143150 - 1. assign V802248 = V088395. assign V260724 = V244634 - 1. assign V429258 = V748494 - 1. assign V867350 = V583430. assign V435942 = V570054 - 1. assign V564018 = V143150. assign V143482 = V227560. assign V405755 = V112385 - 1. assign V759743 = V022187 - 1. assign V666111 = V265743 - 1. assign V374457 = V890751 + 1. assign V717291 = V986982 - 1. assign V970712 = V109911 - 1. assign V862704 = V993377 - 1. assign V602982 = V365719 + 1. assign V143150 = V261530 + 1. assign V174491 = V666111 + 1. assign V310250 = V922547. assign V490972 = V433353 - 1. assign V613406 = V571984 + 1. assign V044487 = V374009. assign V904543 = V520599. assign V582029 = V658955 - 1. assign V248297 = V374009. assign V284449 = 9. assign V797496 = V905643. assign V570054 = V905643 + 1. assign V892139 = V541457. assign V408932 = V541180 + 1. assign V458761 = V044487 - 1. assign V076180 = V802248 - 1. assign V810782 = V261530 + 1. assign V658955 = V174491 - 1. assign V118124 = V088395 + 1. assign V957432 = V789581 + 1. assign V441240 = V420223 + 1. assign V699703 = V365719 + 1. assign V749871 = V397917 - 1. assign V984566 = V483641 + 1. assign V210322 = V674945. assign V946271 = V959047 + 1. assign V022187 = V697858 + 1. assign V244634 = V811763. assign V767166 = V265743 - 1. assign V109911 = V236533 + 1. assign V261530 = V022187 + 1. assign V347918 = V817861 - 1. assign V823999 = V440216 + 1. assign V440216 = V957432 - 1. assign V744654 = V265743. assign V931726 = V545288. assign V018490 = V697858 - 1. assign V928956 = V890751 - 1. assign V461369 = V400639. assign V565850 = V365719. assign V919232 = V273190 - 1. assign V959355 = V802248 + 1. assign V450575 = V722096. assign V556432 = V839243. assign V769671 = V319408. assign V789581 = V936615. assign V433353 = V188195 + 1. assign V890751 = V433353 + 1. assign V483641 = V810782 + 1. assign V242537 = V436787 - 1. assign V520599 = V802248 - 1. assign V110611 = V782032 + 1. assign V777367 = V420223 + 1. assign V374009 = V118124 + 1. assign V369373 = V541457 - 1. assign V259751 = V261530. assign V162444 = V905643 + 1. assign V030875 = V777367. assign V342982 = V227560. assign V812294 = V227560. assign V400639 = V817861 - 1. assign V839243 = V520599 + 1. assign V465230 = V397612 + 1. assign V546867 = V450575. assign V228907 = V965602 - 1. assign V634288 = V436787 + 1. assign V167849 = V110611 - 1. assign V188195 = V959047 - 1. assign V372391 = V564018 - 1. assign V304297 = V636229 - 1. assign V293014 = V936615. assign V657576 = V319408 - 1. assign V922358 = V444144 - 1. assign V583430 = V928956. assign V545288 = V134813. assign V998734 = V565850 - 1. assign V697858 = V789581 - 1. assign V397612 = V789581 - 1. assign V986071 = V549868 + 1. assign V705401 = V113098. assign V131662 = V023702 - 1. assign V636229 = V905643 - 1. assign V391198 = V022187. assign V886286 = V307933 + 1. assign V487147 = V767166 + 1. assign V254259 = V143150. assign V319408 = V789581 - 1. assign V900939 = V483641 + 1. assign V436787 = V570054. assign V389995 = V767166 - 1. assign V349377 = V810782. assign V518135 = V565850 + 1. assign V039039 = V444144 - 1. assign V748494 = V044487. assign V113098 = V369373 + 1. assign V811763 = V254259 + 1. assign V541180 = V022187 - 1. assign V956095 = V922358 + 1. assign V587423 = V570054 + 1. assign V969537 = V389995 - 1. assign V118433 = V284449 - 1. assign V236533 = V697858 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V468165 = V372391. assign V397917 = V088395. assign V541457 = V118124 - 1. assign V630260 = V259751. assign V049967 = V565850 - 1. assign V265743 = V048815. assign V227560 = V504752 - 1. assign V936615 = V565850 - 1. assign V048815 = V817861 + 1. assign V899719 = V283609 + 1. assign V273190 = V433353 - 1. assign V372792 = V435942 + 1. assign V283609 = V504752 - 1. assign V112385 = V088395. assign V864950 = V634288. assign V504752 = V817861 + 1. assign V674305 = V811763 - 1. assign V087012 = V810782 + 1. assign V905643 = V565850 - 1. assign V200516 = V143150 + 1. assign V069246 = V076180. assign V600430 = V134813 - 1. assign V737280 = V928956. assign V674945 = V162444 - 1. assign V307933 = V088395 + 1. assign V038791 = V420223 + 1. assign V959047 = V109911. assign V209193 = V904543 + 1. assign V904630 = V436787 - 1. assign V060447 = V162444 + 1. assign V373665 = V483641 + 1. assign V088395 = V565850 + 1. assign V935293 = V109911 + 1. assign V571984 = V143150. assign V710290 = V134813 + 1. assign V965602 = V347918 - 1. assign V817861 = V565850 - 1. assign V782032 = V433353 + 1. assign V305485 = V979764 + 1. assign V722096 = V342982 - 1. assign V420223 = V936615 + 1. assign V023702 = V789581 - 1. assign V993377 = V823999 + 1. assign V419362 = V487147 + 1. assign V340215 = V504752 + 1. assign V986982 = V699703. assign V134813 = V088395 + 1. assign V922547 = V571984 + 1. assign V091612 = V400639 - 1. assign V205655 = V587423 - 1. assign V979764 = V365719 + 1. assign V549868 = V823999 + 1. assign V314706 = V546867. assign V877758 = V369373. assign V444144 = V143150 - 1. assign V802248 = V088395. assign V260724 = V244634 - 1. assign V429258 = V748494 - 1. assign V867350 = V583430. assign V435942 = V570054 - 1. assign V564018 = V143150. assign V143482 = V227560. assign V405755 = V112385 - 1. assign V759743 = V022187 - 1. assign V666111 = V265743 - 1. assign V374457 = V890751 + 1. assign V717291 = V986982 - 1. assign V970712 = V109911 - 1. assign V862704 = V993377 - 1. assign V602982 = V365719 + 1. assign V143150 = V261530 + 1. assign V174491 = V666111 + 1. assign V310250 = V922547. assign V490972 = V433353 - 1. assign V613406 = V571984 + 1. assign V044487 = V374009. assign V904543 = V520599. assign V582029 = V658955 - 1. assign V248297 = V374009. assign V284449 = 9. assign V797496 = V905643. assign V570054 = V905643 + 1. assign V892139 = V541457. assign V408932 = V541180 + 1. assign V458761 = V044487 - 1. assign V076180 = V802248 - 1. assign V810782 = V261530 + 1. assign V658955 = V174491 - 1. assign V118124 = V088395 + 1. assign V957432 = V789581 + 1. assign V441240 = V420223 + 1. assign V699703 = V365719 + 1. assign V749871 = V397917 - 1. assign V984566 = V483641 + 1. assign V210322 = V674945. assign V946271 = V959047 + 1. assign V022187 = V697858 + 1. assign V244634 = V811763. assign V767166 = V265743 - 1. assign V109911 = V236533 + 1. assign V261530 = V022187 + 1. assign V347918 = V817861 - 1. assign V823999 = V440216 + 1. assign V440216 = V957432 - 1. assign V744654 = V265743. assign V931726 = V545288. assign V018490 = V697858 - 1. assign V928956 = V890751 - 1. assign V461369 = V400639. assign V565850 = V365719. assign V919232 = V273190 - 1. assign V959355 = V802248 + 1. assign V450575 = V722096. assign V556432 = V839243. assign V769671 = V319408. assign V789581 = V936615. assign V433353 = V188195 + 1. assign V890751 = V433353 + 1. assign V483641 = V810782 + 1. assign V242537 = V436787 - 1. assign V520599 = V802248 - 1. assign V110611 = V782032 + 1. assign V777367 = V420223 + 1. assign V374009 = V118124 + 1. assign V369373 = V541457 - 1. assign V259751 = V261530. assign V162444 = V905643 + 1. assign V030875 = V777367. assign V342982 = V227560. assign V812294 = V227560. assign V400639 = V817861 - 1. assign V839243 = V520599 + 1. assign V465230 = V397612 + 1. assign V546867 = V450575. assign V228907 = V965602 - 1. assign V634288 = V436787 + 1. assign V167849 = V110611 - 1. assign V188195 = V959047 - 1. assign V372391 = V564018 - 1. assign V304297 = V636229 - 1. assign V293014 = V936615. assign V657576 = V319408 - 1. assign V922358 = V444144 - 1. assign V583430 = V928956. assign V545288 = V134813. assign V998734 = V565850 - 1. assign V697858 = V789581 - 1. assign V397612 = V789581 - 1. assign V986071 = V549868 + 1. assign V705401 = V113098. assign V131662 = V023702 - 1. assign V636229 = V905643 - 1. assign V391198 = V022187. assign V886286 = V307933 + 1. assign V487147 = V767166 + 1. assign V254259 = V143150. assign V319408 = V789581 - 1. assign V900939 = V483641 + 1. assign V436787 = V570054. assign V389995 = V767166 - 1. assign V349377 = V810782. assign V518135 = V565850 + 1. assign V039039 = V444144 - 1. assign V748494 = V044487. assign V113098 = V369373 + 1. assign V811763 = V254259 + 1. assign V541180 = V022187 - 1. assign V956095 = V922358 + 1. assign V587423 = V570054 + 1. assign V969537 = V389995 - 1. assign V118433 = V284449 - 1. assign V236533 = V697858 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV284449 = 9;\n\nFrom these direct assignment(s), we have: \nV118433 = V284449 - 1 = 9 - 1 =8;\nNo other variables can be derived from V118433;\nNo other variables can be derived from V284449;\n\nNow we have done all the calculations. Derived variables are:\nV284449 = 9;\nV118433 = 8;\n\nNow we have finished this problem. ANSWER:\nV284449\n", "role": "assistant" } ]

[ "V223609", "V377790" ]

[ { "content": "<context>\nassign V537075 = V762092. assign V246503 = V583184 + 1. assign V334691 = V169236 + 1. assign V968392 = V741440 - 1. assign V532360 = V239473 - 1. assign V514176 = V420529 - 1. assign V458709 = V766633 - 1. assign V169236 = V214751 + 1. assign V241640 = V082831 - 1. assign V391885 = V350080 + 1. assign V173008 = V356533. assign V942153 = V375340 + 1. assign V217538 = V237791 - 1. assign V991858 = V246503 + 1. assign V978800 = V554060 + 1. assign V546472 = V356533 - 1. assign V149859 = V766633 + 1. assign V951837 = V721329 - 1. assign V906250 = V246503 + 1. assign V766633 = V975196 - 1. assign V516023 = V537552 - 1. assign V675839 = V440587. assign V286822 = V546450 + 1. assign V538210 = V975196. assign V080976 = V998342. assign V051771 = V832994. assign V628639 = V896021 - 1. assign V286022 = V638657. assign V132918 = V019018 - 1. assign V242146 = V169236. assign V546450 = V420529 - 1. assign V116841 = V779657 - 1. assign V367777 = V638657 + 1. assign V254210 = V957407 + 1. assign V411488 = V239784. assign V375730 = V601333 - 1. assign V420529 = V545238. assign V674665 = V779657 - 1. assign V724397 = V781688 - 1. assign V463054 = V563413. assign V099065 = V806155. assign V730543 = V237791 - 1. assign V741440 = V554060 - 1. assign V179066 = V356533 + 1. assign V334382 = V975196 + 1. assign V653720 = V099065 + 1. assign V496701 = V902060 - 1. assign V973614 = V554060 + 1. assign V239473 = V902060 - 1. assign V647474 = V975196. assign V314882 = V879327 - 1. assign V482207 = V678873. assign V401857 = V298104 + 1. assign V080352 = V656024 + 1. assign V998342 = V724397. assign V075749 = V978800 - 1. assign V545238 = V539958. assign V669830 = V334177 + 1. assign V060104 = V496701 - 1. assign V192143 = V350080. assign V288961 = V496789 - 1. assign V525625 = V563413 - 1. assign V586140 = V197961 + 1. assign V707532 = V214751 - 1. assign V084712 = V508909. assign V449089 = V496789. assign V163378 = V597574. assign V655949 = V643075 + 1. assign V466317 = V525625. assign V806155 = V707532 + 1. assign V298104 = V525625 + 1. assign V678873 = V466317. assign V411776 = V010276 + 1. assign V515331 = V082831. assign V437261 = V746392. assign V508909 = V214751. assign V638657 = V217538. assign V633524 = V658926 + 1. assign V597227 = V525625 + 1. assign V082831 = V978800 + 1. assign V957407 = V350040 - 1. assign V732550 = V658926 + 1. assign V879327 = V265331 - 1. assign V904495 = V508909 - 1. assign V951131 = V532360. assign V369579 = V246503 + 1. assign V041349 = V832994 + 1. assign V537552 = V346583. assign V891647 = V334382 - 1. assign V942197 = V024040. assign V832994 = V346583 - 1. assign V137554 = V904495. assign V223609 = 7. assign V875259 = V766633. assign V346583 = V169236 + 1. assign V293536 = V149859 + 1. assign V666230 = V020707. assign V339817 = V904495 - 1. assign V496789 = V237791 - 1. assign V214751 = V237791 - 1. assign V647392 = V239784 - 1. assign V029792 = V217538 - 1. assign V261429 = V369579 + 1. assign V350040 = V246503. assign V975196 = V525625. assign V045452 = V040154 - 1. assign V643075 = V496701 - 1. assign V656024 = V539958 - 1. assign V609725 = V019018. assign V309600 = V601333 + 1. assign V440587 = V405808. assign V767575 = V539958 - 1. assign V350080 = V656024 + 1. assign V497631 = V812939 + 1. assign V405808 = V173008 + 1. assign V599472 = V609725. assign V265331 = V781688 + 1. assign V896021 = V601333 + 1. assign V037884 = V781688. assign V010276 = V539958 - 1. assign V558706 = V906250 - 1. assign V812939 = V656024 - 1. assign V838734 = V539958 - 1. assign V369791 = V019018. assign V884085 = V532360 + 1. assign V356533 = V350080 - 1. assign V360445 = V545238. assign V067945 = V746392. assign V781688 = V539958 - 1. assign V264129 = V029792 - 1. assign V527211 = V838734. assign V583184 = V237791. assign V521179 = V019018 + 1. assign V721329 = V647474. assign V050240 = V902060 - 1. assign V652019 = V601333 - 1. assign V020707 = V339817 - 1. assign V024040 = V767575 + 1. assign V375340 = V449089 - 1. assign V244302 = V041632 + 1. assign V725930 = V675839. assign V938213 = V265331 - 1. assign V543499 = V656024 - 1. assign V601333 = V169236 + 1. assign V563413 = V554060 - 1. assign V377790 = V223609. assign V197961 = V084712 - 1. assign V764272 = V346583 - 1. assign V658751 = V026004 + 1. assign V284441 = V601333. assign V658926 = V246503. assign V779657 = V525625. assign V746392 = V875259 + 1. assign V881543 = V265331 + 1. assign V762092 = V242146. assign V169934 = V284441 + 1. assign V239784 = V514176 - 1. assign V554060 = V237791 - 1. assign V158219 = V369791 + 1. assign V539958 = V508909 + 1. assign V040154 = V973614. assign V704997 = V707532 + 1. assign V019018 = V554060. assign V163301 = V075749 + 1. assign V902060 = V214751. assign V597574 = V766633 - 1. assign V334177 = V812939 + 1. assign V595161 = V466317 + 1. assign V041632 = V525625 + 1. assign V026004 = V516023 + 1. assign V777545 = V725930 - 1. assign V785802 = V041632 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V537075 = V762092. assign V246503 = V583184 + 1. assign V334691 = V169236 + 1. assign V968392 = V741440 - 1. assign V532360 = V239473 - 1. assign V514176 = V420529 - 1. assign V458709 = V766633 - 1. assign V169236 = V214751 + 1. assign V241640 = V082831 - 1. assign V391885 = V350080 + 1. assign V173008 = V356533. assign V942153 = V375340 + 1. assign V217538 = V237791 - 1. assign V991858 = V246503 + 1. assign V978800 = V554060 + 1. assign V546472 = V356533 - 1. assign V149859 = V766633 + 1. assign V951837 = V721329 - 1. assign V906250 = V246503 + 1. assign V766633 = V975196 - 1. assign V516023 = V537552 - 1. assign V675839 = V440587. assign V286822 = V546450 + 1. assign V538210 = V975196. assign V080976 = V998342. assign V051771 = V832994. assign V628639 = V896021 - 1. assign V286022 = V638657. assign V132918 = V019018 - 1. assign V242146 = V169236. assign V546450 = V420529 - 1. assign V116841 = V779657 - 1. assign V367777 = V638657 + 1. assign V254210 = V957407 + 1. assign V411488 = V239784. assign V375730 = V601333 - 1. assign V420529 = V545238. assign V674665 = V779657 - 1. assign V724397 = V781688 - 1. assign V463054 = V563413. assign V099065 = V806155. assign V730543 = V237791 - 1. assign V741440 = V554060 - 1. assign V179066 = V356533 + 1. assign V334382 = V975196 + 1. assign V653720 = V099065 + 1. assign V496701 = V902060 - 1. assign V973614 = V554060 + 1. assign V239473 = V902060 - 1. assign V647474 = V975196. assign V314882 = V879327 - 1. assign V482207 = V678873. assign V401857 = V298104 + 1. assign V080352 = V656024 + 1. assign V998342 = V724397. assign V075749 = V978800 - 1. assign V545238 = V539958. assign V669830 = V334177 + 1. assign V060104 = V496701 - 1. assign V192143 = V350080. assign V288961 = V496789 - 1. assign V525625 = V563413 - 1. assign V586140 = V197961 + 1. assign V707532 = V214751 - 1. assign V084712 = V508909. assign V449089 = V496789. assign V163378 = V597574. assign V655949 = V643075 + 1. assign V466317 = V525625. assign V806155 = V707532 + 1. assign V298104 = V525625 + 1. assign V678873 = V466317. assign V411776 = V010276 + 1. assign V515331 = V082831. assign V437261 = V746392. assign V508909 = V214751. assign V638657 = V217538. assign V633524 = V658926 + 1. assign V597227 = V525625 + 1. assign V082831 = V978800 + 1. assign V957407 = V350040 - 1. assign V732550 = V658926 + 1. assign V879327 = V265331 - 1. assign V904495 = V508909 - 1. assign V951131 = V532360. assign V369579 = V246503 + 1. assign V041349 = V832994 + 1. assign V537552 = V346583. assign V891647 = V334382 - 1. assign V942197 = V024040. assign V832994 = V346583 - 1. assign V137554 = V904495. assign V223609 = 7. assign V875259 = V766633. assign V346583 = V169236 + 1. assign V293536 = V149859 + 1. assign V666230 = V020707. assign V339817 = V904495 - 1. assign V496789 = V237791 - 1. assign V214751 = V237791 - 1. assign V647392 = V239784 - 1. assign V029792 = V217538 - 1. assign V261429 = V369579 + 1. assign V350040 = V246503. assign V975196 = V525625. assign V045452 = V040154 - 1. assign V643075 = V496701 - 1. assign V656024 = V539958 - 1. assign V609725 = V019018. assign V309600 = V601333 + 1. assign V440587 = V405808. assign V767575 = V539958 - 1. assign V350080 = V656024 + 1. assign V497631 = V812939 + 1. assign V405808 = V173008 + 1. assign V599472 = V609725. assign V265331 = V781688 + 1. assign V896021 = V601333 + 1. assign V037884 = V781688. assign V010276 = V539958 - 1. assign V558706 = V906250 - 1. assign V812939 = V656024 - 1. assign V838734 = V539958 - 1. assign V369791 = V019018. assign V884085 = V532360 + 1. assign V356533 = V350080 - 1. assign V360445 = V545238. assign V067945 = V746392. assign V781688 = V539958 - 1. assign V264129 = V029792 - 1. assign V527211 = V838734. assign V583184 = V237791. assign V521179 = V019018 + 1. assign V721329 = V647474. assign V050240 = V902060 - 1. assign V652019 = V601333 - 1. assign V020707 = V339817 - 1. assign V024040 = V767575 + 1. assign V375340 = V449089 - 1. assign V244302 = V041632 + 1. assign V725930 = V675839. assign V938213 = V265331 - 1. assign V543499 = V656024 - 1. assign V601333 = V169236 + 1. assign V563413 = V554060 - 1. assign V377790 = V223609. assign V197961 = V084712 - 1. assign V764272 = V346583 - 1. assign V658751 = V026004 + 1. assign V284441 = V601333. assign V658926 = V246503. assign V779657 = V525625. assign V746392 = V875259 + 1. assign V881543 = V265331 + 1. assign V762092 = V242146. assign V169934 = V284441 + 1. assign V239784 = V514176 - 1. assign V554060 = V237791 - 1. assign V158219 = V369791 + 1. assign V539958 = V508909 + 1. assign V040154 = V973614. assign V704997 = V707532 + 1. assign V019018 = V554060. assign V163301 = V075749 + 1. assign V902060 = V214751. assign V597574 = V766633 - 1. assign V334177 = V812939 + 1. assign V595161 = V466317 + 1. assign V041632 = V525625 + 1. assign V026004 = V516023 + 1. assign V777545 = V725930 - 1. assign V785802 = V041632 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV223609 = 7;\n\nFrom these direct assignment(s), we have: \nV377790 = V223609 = 7;\nNo other variables can be derived from V377790;\nNo other variables can be derived from V223609;\n\nNow we have done all the calculations. Derived variables are:\nV223609 = 7;\nV377790 = 7;\n\nNow we have finished this problem. ANSWER:\nV223609, V377790\n", "role": "assistant" } ]

[ "V553811" ]

[ { "content": "<context>\nassign V251006 = V188364 - 1. assign V242096 = V080873 + 1. assign V205583 = V134235 + 1. assign V890298 = V130062. assign V271953 = V856964 + 1. assign V592495 = V776118 + 1. assign V995100 = V200157 + 1. assign V313550 = V412160 - 1. assign V130062 = V890647 + 1. assign V115611 = V080873 - 1. assign V223163 = V313550 - 1. assign V747814 = V504008 + 1. assign V242934 = V154171. assign V271334 = V403575 + 1. assign V643043 = V009620. assign V852679 = V078823. assign V109894 = V031129 + 1. assign V334826 = V337094. assign V634335 = V581615 - 1. assign V841401 = V483719. assign V889778 = V104692. assign V364785 = V334826 - 1. assign V034994 = V554991 + 1. assign V200157 = V188364 + 1. assign V009620 = V126782 - 1. assign V793505 = V646860. assign V795765 = V880343. assign V468683 = V671606 + 1. assign V553811 = 9. assign V579136 = V848570 + 1. assign V837019 = V056460 - 1. assign V214527 = V579136 - 1. assign V490273 = V793505 - 1. assign V520529 = V249963 - 1. assign V154171 = V251006 + 1. assign V581615 = V776118. assign V763424 = V951161 - 1. assign V378780 = V263324 + 1. assign V460825 = V480227 - 1. assign V492381 = V795765 - 1. assign V052011 = V396122 + 1. assign V969281 = V225316. assign V430040 = V681287 + 1. assign V565981 = V554991 + 1. assign V472743 = V911039. assign V550469 = V465341 - 1. assign V243216 = V334826. assign V484293 = V783038 - 1. assign V345222 = V200157 + 1. assign V149389 = V592495 + 1. assign V212454 = V104692 + 1. assign V134235 = V154171 - 1. assign V934616 = V681287. assign V681287 = V994596 - 1. assign V280656 = V950906. assign V421692 = V320767 - 1. assign V168226 = V579136 + 1. assign V357917 = V889778 - 1. assign V103518 = V793505 + 1. assign V772037 = V671606. assign V126782 = V217186. assign V465477 = V994596 + 1. assign V667676 = V430040 - 1. assign V286066 = V396122 + 1. assign V109967 = V202636 - 1. assign V392791 = V549267. assign V104692 = V581028 + 1. assign V461608 = V104692. assign V509592 = V463057. assign V188364 = V080873 - 1. assign V559841 = V480227 - 1. assign V607880 = V814395 - 1. assign V263324 = V646816 - 1. assign V568384 = V793505. assign V300790 = V520529 - 1. assign V449012 = V056460. assign V147346 = V461608 - 1. assign V597159 = V554991 - 1. assign V236344 = V806000 - 1. assign V248550 = V994596 - 1. assign V994596 = V950906 + 1. assign V202636 = V783038. assign V403575 = V951161 + 1. assign V776118 = V880343 - 1. assign V541536 = V484293 + 1. assign V582162 = V625382 + 1. assign V983932 = V334826 - 1. assign V625382 = V734723 - 1. assign V354524 = V641417 - 1. assign V192876 = V249963 + 1. assign V734723 = V581028 - 1. assign V524049 = V015772 - 1. assign V031129 = V734723 - 1. assign V494865 = V492381 - 1. assign V458433 = V783038 - 1. assign V117967 = V300790 + 1. assign V225316 = V031129. assign V657098 = V967006 + 1. assign V758931 = V541536. assign V106050 = V300790 + 1. assign V205841 = V104692. assign V806000 = V192876 - 1. assign V159997 = V553811 + 1. assign V814395 = V412160 - 1. assign V249963 = V177824 + 1. assign V783038 = V188364. assign V015772 = V392791 - 1. assign V671606 = V412160 - 1. assign V950906 = V080873 - 1. assign V157576 = V350379. assign V747002 = V249963. assign V742269 = V581615 - 1. assign V213161 = V646860. assign V890647 = V103518 - 1. assign V890185 = V490273 + 1. assign V057261 = V950906 - 1. assign V968260 = V205841 - 1. assign V747416 = V224317 - 1. assign V546064 = V313550 - 1. assign V646816 = V345222. assign V460838 = V242934 + 1. assign V480227 = V483719 + 1. assign V016316 = V581028 + 1. assign V189433 = V911039. assign V592601 = V337094 + 1. assign V739653 = V461608 + 1. assign V911039 = V461608 - 1. assign V217186 = V793505. assign V463057 = V667676 - 1. assign V078823 = V154171 - 1. assign V350379 = V212454. assign V598682 = V667676 + 1. assign V951161 = V192876. assign V012820 = V646860 - 1. assign V845111 = V263324. assign V856964 = V950906 + 1. assign V646860 = V581028. assign V967006 = V224317 + 1. assign V676159 = V134235 - 1. assign V823781 = V205583 - 1. assign V382757 = V012820. assign V395450 = V403575. assign V172845 = V412160. assign V522278 = V837019 - 1. assign V562732 = V430040 - 1. assign V681831 = V852679 - 1. assign V504008 = V126782. assign V860027 = V392791 + 1. assign V412160 = V251006 + 1. assign V880343 = V783038 - 1. assign V224317 = V126782 - 1. assign V549267 = V251006 + 1. assign V581028 = V080873 + 1. assign V177824 = V646860 - 1. assign V320767 = V016316. assign V161027 = V522278 - 1. assign V188424 = V345222 + 1. assign V337094 = V177824 + 1. assign V171188 = V412160 + 1. assign V465341 = V115611 + 1. assign V571207 = V449012 - 1. assign V554991 = V950906 + 1. assign V800439 = V052011 + 1. assign V202413 = V057261. assign V056460 = V217186 + 1. assign V396122 = V188364 + 1. assign V483719 = V313550. assign V233616 = V860027 - 1. assign V641417 = V078823 - 1. assign V870300 = V856964 + 1. assign V848570 = V581028 - 1. assign V077688 = V465341 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V251006 = V188364 - 1. assign V242096 = V080873 + 1. assign V205583 = V134235 + 1. assign V890298 = V130062. assign V271953 = V856964 + 1. assign V592495 = V776118 + 1. assign V995100 = V200157 + 1. assign V313550 = V412160 - 1. assign V130062 = V890647 + 1. assign V115611 = V080873 - 1. assign V223163 = V313550 - 1. assign V747814 = V504008 + 1. assign V242934 = V154171. assign V271334 = V403575 + 1. assign V643043 = V009620. assign V852679 = V078823. assign V109894 = V031129 + 1. assign V334826 = V337094. assign V634335 = V581615 - 1. assign V841401 = V483719. assign V889778 = V104692. assign V364785 = V334826 - 1. assign V034994 = V554991 + 1. assign V200157 = V188364 + 1. assign V009620 = V126782 - 1. assign V793505 = V646860. assign V795765 = V880343. assign V468683 = V671606 + 1. assign V553811 = 9. assign V579136 = V848570 + 1. assign V837019 = V056460 - 1. assign V214527 = V579136 - 1. assign V490273 = V793505 - 1. assign V520529 = V249963 - 1. assign V154171 = V251006 + 1. assign V581615 = V776118. assign V763424 = V951161 - 1. assign V378780 = V263324 + 1. assign V460825 = V480227 - 1. assign V492381 = V795765 - 1. assign V052011 = V396122 + 1. assign V969281 = V225316. assign V430040 = V681287 + 1. assign V565981 = V554991 + 1. assign V472743 = V911039. assign V550469 = V465341 - 1. assign V243216 = V334826. assign V484293 = V783038 - 1. assign V345222 = V200157 + 1. assign V149389 = V592495 + 1. assign V212454 = V104692 + 1. assign V134235 = V154171 - 1. assign V934616 = V681287. assign V681287 = V994596 - 1. assign V280656 = V950906. assign V421692 = V320767 - 1. assign V168226 = V579136 + 1. assign V357917 = V889778 - 1. assign V103518 = V793505 + 1. assign V772037 = V671606. assign V126782 = V217186. assign V465477 = V994596 + 1. assign V667676 = V430040 - 1. assign V286066 = V396122 + 1. assign V109967 = V202636 - 1. assign V392791 = V549267. assign V104692 = V581028 + 1. assign V461608 = V104692. assign V509592 = V463057. assign V188364 = V080873 - 1. assign V559841 = V480227 - 1. assign V607880 = V814395 - 1. assign V263324 = V646816 - 1. assign V568384 = V793505. assign V300790 = V520529 - 1. assign V449012 = V056460. assign V147346 = V461608 - 1. assign V597159 = V554991 - 1. assign V236344 = V806000 - 1. assign V248550 = V994596 - 1. assign V994596 = V950906 + 1. assign V202636 = V783038. assign V403575 = V951161 + 1. assign V776118 = V880343 - 1. assign V541536 = V484293 + 1. assign V582162 = V625382 + 1. assign V983932 = V334826 - 1. assign V625382 = V734723 - 1. assign V354524 = V641417 - 1. assign V192876 = V249963 + 1. assign V734723 = V581028 - 1. assign V524049 = V015772 - 1. assign V031129 = V734723 - 1. assign V494865 = V492381 - 1. assign V458433 = V783038 - 1. assign V117967 = V300790 + 1. assign V225316 = V031129. assign V657098 = V967006 + 1. assign V758931 = V541536. assign V106050 = V300790 + 1. assign V205841 = V104692. assign V806000 = V192876 - 1. assign V159997 = V553811 + 1. assign V814395 = V412160 - 1. assign V249963 = V177824 + 1. assign V783038 = V188364. assign V015772 = V392791 - 1. assign V671606 = V412160 - 1. assign V950906 = V080873 - 1. assign V157576 = V350379. assign V747002 = V249963. assign V742269 = V581615 - 1. assign V213161 = V646860. assign V890647 = V103518 - 1. assign V890185 = V490273 + 1. assign V057261 = V950906 - 1. assign V968260 = V205841 - 1. assign V747416 = V224317 - 1. assign V546064 = V313550 - 1. assign V646816 = V345222. assign V460838 = V242934 + 1. assign V480227 = V483719 + 1. assign V016316 = V581028 + 1. assign V189433 = V911039. assign V592601 = V337094 + 1. assign V739653 = V461608 + 1. assign V911039 = V461608 - 1. assign V217186 = V793505. assign V463057 = V667676 - 1. assign V078823 = V154171 - 1. assign V350379 = V212454. assign V598682 = V667676 + 1. assign V951161 = V192876. assign V012820 = V646860 - 1. assign V845111 = V263324. assign V856964 = V950906 + 1. assign V646860 = V581028. assign V967006 = V224317 + 1. assign V676159 = V134235 - 1. assign V823781 = V205583 - 1. assign V382757 = V012820. assign V395450 = V403575. assign V172845 = V412160. assign V522278 = V837019 - 1. assign V562732 = V430040 - 1. assign V681831 = V852679 - 1. assign V504008 = V126782. assign V860027 = V392791 + 1. assign V412160 = V251006 + 1. assign V880343 = V783038 - 1. assign V224317 = V126782 - 1. assign V549267 = V251006 + 1. assign V581028 = V080873 + 1. assign V177824 = V646860 - 1. assign V320767 = V016316. assign V161027 = V522278 - 1. assign V188424 = V345222 + 1. assign V337094 = V177824 + 1. assign V171188 = V412160 + 1. assign V465341 = V115611 + 1. assign V571207 = V449012 - 1. assign V554991 = V950906 + 1. assign V800439 = V052011 + 1. assign V202413 = V057261. assign V056460 = V217186 + 1. assign V396122 = V188364 + 1. assign V483719 = V313550. assign V233616 = V860027 - 1. assign V641417 = V078823 - 1. assign V870300 = V856964 + 1. assign V848570 = V581028 - 1. assign V077688 = V465341 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV553811 = 9;\n\nFrom these direct assignment(s), we have: \nV159997 = V553811 + 1 = 9 + 1 =10;\nNo other variables can be derived from V159997;\nNo other variables can be derived from V553811;\n\nNow we have done all the calculations. Derived variables are:\nV553811 = 9;\nV159997 = 10;\n\nNow we have finished this problem. ANSWER:\nV553811\n", "role": "assistant" } ]

[ "V600255", "V824105" ]

[ { "content": "<context>\nassign V656664 = V716041. assign V494898 = V357891 - 1. assign V561084 = V160170 + 1. assign V173807 = V188675. assign V801530 = V197347 + 1. assign V115948 = V571953. assign V014552 = V700084. assign V368505 = V538742 - 1. assign V188675 = V461403 - 1. assign V407108 = V571953. assign V847479 = V361008. assign V849171 = V433022 - 1. assign V982466 = V607256. assign V347769 = V318561 + 1. assign V619233 = V441425 + 1. assign V392515 = V201757 + 1. assign V481341 = V422956. assign V310738 = V933148 + 1. assign V867545 = V433071 - 1. assign V821243 = V644191 + 1. assign V696376 = V749610 + 1. assign V870125 = V764933. assign V426957 = V619233 - 1. assign V955766 = V921939 + 1. assign V764933 = V121872. assign V041001 = V318561. assign V332560 = V696376 - 1. assign V054416 = V120986 - 1. assign V562639 = V310738 - 1. assign V222804 = V080087. assign V600255 = 7. assign V323004 = V313702. assign V328575 = V802083. assign V059340 = V917537 + 1. assign V933148 = V785601 - 1. assign V441474 = V982466. assign V310212 = V644191 - 1. assign V531712 = V331448. assign V329975 = V644191 + 1. assign V571953 = V420911 + 1. assign V700084 = V310212 - 1. assign V121872 = V258702. assign V916346 = V982466. assign V227016 = V099288 - 1. assign V309683 = V578851 - 1. assign V085471 = V201757 + 1. assign V441425 = V870125. assign V616425 = V624983 - 1. assign V965206 = V906886 + 1. assign V201757 = V173807. assign V925262 = V441474 + 1. assign V099288 = V080087. assign V304627 = V188675 + 1. assign V655385 = V762046 + 1. assign V239119 = V902829. assign V331448 = V578851. assign V653638 = V823589. assign V651400 = V607256 - 1. assign V343880 = V239119 - 1. assign V894428 = V329975. assign V950779 = V538742 + 1. assign V947517 = V420911 - 1. assign V529325 = V675559 - 1. assign V725128 = V037365. assign V538742 = V346246 - 1. assign V542090 = V798215. assign V158357 = V477735. assign V400848 = V441474. assign V578851 = V764933 - 1. assign V669022 = V675766. assign V334112 = V160170 + 1. assign V291201 = V653638 - 1. assign V015404 = V561084. assign V943031 = V925262 - 1. assign V080087 = V579912 - 1. assign V803480 = V908400. assign V433022 = V764933 - 1. assign V921939 = V700084. assign V906886 = V749610. assign V976352 = V121872. assign V395554 = V600635. assign V139105 = V461403 - 1. assign V197347 = V368505. assign V350258 = V700084 + 1. assign V992768 = V912845. assign V258702 = V346246 - 1. assign V539605 = V120986 - 1. assign V559344 = V017802. assign V601704 = V318561 - 1. assign V433641 = V834676 + 1. assign V785601 = V538742. assign V017802 = V400848 - 1. assign V948387 = V080087. assign V263370 = V538742 + 1. assign V675559 = V263370 + 1. assign V108105 = V139105. assign V120986 = V507033 + 1. assign V631744 = V139105 + 1. assign V422956 = V301651. assign V882541 = V870125 + 1. assign V461403 = V477735 + 1. assign V363886 = V258702 + 1. assign V549198 = V441425 - 1. assign V607256 = V258702. assign V361008 = V346246. assign V037365 = V002336. assign V633298 = V631744. assign V318561 = V538742 - 1. assign V854334 = V318561 + 1. assign V716041 = V173807 + 1. assign V871618 = V188675 + 1. assign V507033 = V139105. assign V734425 = V309683. assign V822544 = V624983 - 1. assign V798215 = V764933. assign V579912 = V121872. assign V433071 = V756917 + 1. assign V600635 = V160170 + 1. assign V160170 = V684490. assign V313702 = V906886 + 1. assign V675766 = V507033. assign V057328 = V347769 - 1. assign V434384 = V461403. assign V399403 = V624983 - 1. assign V495702 = V041001. assign V851433 = V749610 - 1. assign V420911 = V801530 - 1. assign V684490 = V313702. assign V936506 = V825381 + 1. assign V824105 = V600255. assign V301651 = V461403. assign V156034 = V976352. assign V902829 = V158357. assign V758550 = V756917. assign V825381 = V965206 - 1. assign V621845 = V684490 + 1. assign V762046 = V562639 - 1. assign V387062 = V948387 + 1. assign V756917 = V950779. assign V533815 = V120986 + 1. assign V952871 = V762046 + 1. assign V200771 = V785601. assign V357891 = V477735. assign V912845 = V318561 + 1. assign V749610 = V346246. assign V280387 = V633298 + 1. assign V398522 = V562639 + 1. assign V468954 = V822544 + 1. assign V611874 = V160170. assign V834279 = V851433. assign V238975 = V041001 - 1. assign V624983 = V870125. assign V682909 = V313702 - 1. assign V548766 = V400848 + 1. assign V399134 = V313702 + 1. assign V079984 = V461403 + 1. assign V698705 = V115948 - 1. assign V908400 = V834279. assign V030787 = V346246 + 1. assign V530887 = V902829 + 1. assign V917537 = V871618. assign V802083 = V041001. assign V773808 = V894428. assign V735823 = V561084. assign V644191 = V950779 + 1. assign V286688 = V906886. assign V477735 = V197347 - 1. assign V823589 = V870125 - 1. assign V834676 = V947517. assign V775116 = V310738. assign V291727 = V441425 - 1. assign V002336 = V607256 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V656664 = V716041. assign V494898 = V357891 - 1. assign V561084 = V160170 + 1. assign V173807 = V188675. assign V801530 = V197347 + 1. assign V115948 = V571953. assign V014552 = V700084. assign V368505 = V538742 - 1. assign V188675 = V461403 - 1. assign V407108 = V571953. assign V847479 = V361008. assign V849171 = V433022 - 1. assign V982466 = V607256. assign V347769 = V318561 + 1. assign V619233 = V441425 + 1. assign V392515 = V201757 + 1. assign V481341 = V422956. assign V310738 = V933148 + 1. assign V867545 = V433071 - 1. assign V821243 = V644191 + 1. assign V696376 = V749610 + 1. assign V870125 = V764933. assign V426957 = V619233 - 1. assign V955766 = V921939 + 1. assign V764933 = V121872. assign V041001 = V318561. assign V332560 = V696376 - 1. assign V054416 = V120986 - 1. assign V562639 = V310738 - 1. assign V222804 = V080087. assign V600255 = 7. assign V323004 = V313702. assign V328575 = V802083. assign V059340 = V917537 + 1. assign V933148 = V785601 - 1. assign V441474 = V982466. assign V310212 = V644191 - 1. assign V531712 = V331448. assign V329975 = V644191 + 1. assign V571953 = V420911 + 1. assign V700084 = V310212 - 1. assign V121872 = V258702. assign V916346 = V982466. assign V227016 = V099288 - 1. assign V309683 = V578851 - 1. assign V085471 = V201757 + 1. assign V441425 = V870125. assign V616425 = V624983 - 1. assign V965206 = V906886 + 1. assign V201757 = V173807. assign V925262 = V441474 + 1. assign V099288 = V080087. assign V304627 = V188675 + 1. assign V655385 = V762046 + 1. assign V239119 = V902829. assign V331448 = V578851. assign V653638 = V823589. assign V651400 = V607256 - 1. assign V343880 = V239119 - 1. assign V894428 = V329975. assign V950779 = V538742 + 1. assign V947517 = V420911 - 1. assign V529325 = V675559 - 1. assign V725128 = V037365. assign V538742 = V346246 - 1. assign V542090 = V798215. assign V158357 = V477735. assign V400848 = V441474. assign V578851 = V764933 - 1. assign V669022 = V675766. assign V334112 = V160170 + 1. assign V291201 = V653638 - 1. assign V015404 = V561084. assign V943031 = V925262 - 1. assign V080087 = V579912 - 1. assign V803480 = V908400. assign V433022 = V764933 - 1. assign V921939 = V700084. assign V906886 = V749610. assign V976352 = V121872. assign V395554 = V600635. assign V139105 = V461403 - 1. assign V197347 = V368505. assign V350258 = V700084 + 1. assign V992768 = V912845. assign V258702 = V346246 - 1. assign V539605 = V120986 - 1. assign V559344 = V017802. assign V601704 = V318561 - 1. assign V433641 = V834676 + 1. assign V785601 = V538742. assign V017802 = V400848 - 1. assign V948387 = V080087. assign V263370 = V538742 + 1. assign V675559 = V263370 + 1. assign V108105 = V139105. assign V120986 = V507033 + 1. assign V631744 = V139105 + 1. assign V422956 = V301651. assign V882541 = V870125 + 1. assign V461403 = V477735 + 1. assign V363886 = V258702 + 1. assign V549198 = V441425 - 1. assign V607256 = V258702. assign V361008 = V346246. assign V037365 = V002336. assign V633298 = V631744. assign V318561 = V538742 - 1. assign V854334 = V318561 + 1. assign V716041 = V173807 + 1. assign V871618 = V188675 + 1. assign V507033 = V139105. assign V734425 = V309683. assign V822544 = V624983 - 1. assign V798215 = V764933. assign V579912 = V121872. assign V433071 = V756917 + 1. assign V600635 = V160170 + 1. assign V160170 = V684490. assign V313702 = V906886 + 1. assign V675766 = V507033. assign V057328 = V347769 - 1. assign V434384 = V461403. assign V399403 = V624983 - 1. assign V495702 = V041001. assign V851433 = V749610 - 1. assign V420911 = V801530 - 1. assign V684490 = V313702. assign V936506 = V825381 + 1. assign V824105 = V600255. assign V301651 = V461403. assign V156034 = V976352. assign V902829 = V158357. assign V758550 = V756917. assign V825381 = V965206 - 1. assign V621845 = V684490 + 1. assign V762046 = V562639 - 1. assign V387062 = V948387 + 1. assign V756917 = V950779. assign V533815 = V120986 + 1. assign V952871 = V762046 + 1. assign V200771 = V785601. assign V357891 = V477735. assign V912845 = V318561 + 1. assign V749610 = V346246. assign V280387 = V633298 + 1. assign V398522 = V562639 + 1. assign V468954 = V822544 + 1. assign V611874 = V160170. assign V834279 = V851433. assign V238975 = V041001 - 1. assign V624983 = V870125. assign V682909 = V313702 - 1. assign V548766 = V400848 + 1. assign V399134 = V313702 + 1. assign V079984 = V461403 + 1. assign V698705 = V115948 - 1. assign V908400 = V834279. assign V030787 = V346246 + 1. assign V530887 = V902829 + 1. assign V917537 = V871618. assign V802083 = V041001. assign V773808 = V894428. assign V735823 = V561084. assign V644191 = V950779 + 1. assign V286688 = V906886. assign V477735 = V197347 - 1. assign V823589 = V870125 - 1. assign V834676 = V947517. assign V775116 = V310738. assign V291727 = V441425 - 1. assign V002336 = V607256 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV600255 = 7;\n\nFrom these direct assignment(s), we have: \nV824105 = V600255 = 7;\nNo other variables can be derived from V824105;\nNo other variables can be derived from V600255;\n\nNow we have done all the calculations. Derived variables are:\nV600255 = 7;\nV824105 = 7;\n\nNow we have finished this problem. ANSWER:\nV600255, V824105\n", "role": "assistant" } ]

[ "V293755" ]

[ { "content": "<context>\nassign V645449 = V557081 - 1. assign V290061 = V436806 - 1. assign V279284 = V504893. assign V779548 = V670723. assign V602759 = V015469. assign V319699 = V289472 - 1. assign V840858 = V524231. assign V970588 = V122297 + 1. assign V670723 = V522405 + 1. assign V185991 = V639337 + 1. assign V836209 = V504893 - 1. assign V928180 = V522405 + 1. assign V122297 = V665925. assign V643964 = V564767 - 1. assign V316102 = V147856 - 1. assign V856548 = V445404 + 1. assign V056441 = V395107 + 1. assign V605855 = V564767 - 1. assign V032297 = V639337. assign V292967 = V643964 + 1. assign V449826 = V757624. assign V493089 = V363423 + 1. assign V701366 = V279284. assign V855177 = V395107 - 1. assign V231791 = V319209 + 1. assign V456646 = V544611 + 1. assign V557081 = V564767 - 1. assign V645789 = V822144 - 1. assign V113396 = V524231 - 1. assign V235259 = V940359 - 1. assign V965841 = V243410 + 1. assign V945694 = V501587 - 1. assign V319209 = V990808. assign V504893 = V564767 + 1. assign V106684 = V088049 + 1. assign V815166 = V318094 - 1. assign V078013 = V522405 + 1. assign V516274 = V549436. assign V134445 = V504893 + 1. assign V854342 = V352319 + 1. assign V090215 = V641939 - 1. assign V359392 = V764520 - 1. assign V436806 = V761226 - 1. assign V124285 = V572641. assign V990808 = V761226 + 1. assign V639449 = V185991 + 1. assign V890203 = V757624 + 1. assign V021127 = V273151 - 1. assign V757624 = V854342 - 1. assign V223131 = V856548 + 1. assign V289472 = V116554 + 1. assign V993369 = V930374. assign V602687 = V758504. assign V854389 = V639337 - 1. assign V293755 = 7. assign V862804 = V290824 - 1. assign V134351 = V134445. assign V930374 = V352319. assign V667926 = V764520 + 1. assign V483804 = V836209. assign V822144 = V602687 - 1. assign V989077 = V134351. assign V367624 = V483508 - 1. assign V707419 = V293755 - 1. assign V393794 = V622525 + 1. assign V250358 = V147856 + 1. assign V135752 = V168623 + 1. assign V985017 = V359392. assign V180456 = V202304. assign V098532 = V760264. assign V570097 = V122297. assign V227950 = V089636. assign V320626 = V518300 - 1. assign V173176 = V231791 + 1. assign V699902 = V760264 + 1. assign V765115 = V363423 - 1. assign V501587 = V570097 + 1. assign V395107 = V359392 - 1. assign V093710 = V501587. assign V522405 = V564767 - 1. assign V216022 = V572641. assign V488910 = V437686 - 1. assign V733006 = V925014 + 1. assign V080975 = V840858 - 1. assign V285304 = V639337. assign V639337 = V522405 + 1. assign V665925 = V134351 + 1. assign V032957 = V393794 + 1. assign V147856 = V352319. assign V437686 = V116554. assign V301154 = V451259 - 1. assign V250283 = V665925 + 1. assign V426461 = V231791 + 1. assign V363423 = V641939. assign V544611 = V504893 - 1. assign V224014 = V088049 - 1. assign V398768 = V524231 - 1. assign V694100 = V135752 + 1. assign V549436 = V147856 + 1. assign V087820 = V501587 + 1. assign V116554 = V564767 + 1. assign V290824 = V564767. assign V383926 = V564767 - 1. assign V940359 = V173176. assign V169969 = V641939 - 1. assign V956362 = V432113 + 1. assign V757614 = V483804 + 1. assign V445404 = V757624 + 1. assign V897713 = V815166. assign V168623 = V298861 + 1. assign V399725 = V522405 + 1. assign V421118 = V432113 + 1. assign V929962 = V516274 - 1. assign V671528 = V567256. assign V202304 = V399725 - 1. assign V756220 = V564767. assign V186075 = V856548. assign V622525 = V567256. assign V298861 = V854342. assign V352319 = V564767 - 1. assign V432113 = V250283. assign V882178 = V733006 - 1. assign V259941 = V134351 - 1. assign V066630 = V570097. assign V089636 = V699902 - 1. assign V593071 = V134351. assign V932927 = V135752 + 1. assign V318094 = V106684 - 1. assign V315718 = V493089. assign V572641 = V316102 + 1. assign V942442 = V250358 + 1. assign V683610 = V756220 + 1. assign V693159 = V970588 - 1. assign V433535 = V216022 - 1. assign V358980 = V605855 - 1. assign V187431 = V021127. assign V394917 = V436806. assign V641939 = V670723 + 1. assign V871733 = V426461 - 1. assign V096750 = V760264. assign V061525 = V093710 - 1. assign V095033 = V279284 + 1. assign V914058 = V493089 + 1. assign V925014 = V298861. assign V518300 = V516274 - 1. assign V088049 = V134351 - 1. assign V758504 = V483804 - 1. assign V825109 = V319209 - 1. assign V761226 = V134445 - 1. assign V114681 = V173176 - 1. assign V279373 = V757624 - 1. assign V760264 = V570097. assign V361812 = V665925 - 1. assign V367724 = V836209. assign V831809 = V114681. assign V524231 = V259941 - 1. assign V483508 = V168623 - 1. assign V892829 = V643964 + 1. assign V670562 = V316102 + 1. assign V040939 = V216022 - 1. assign V764520 = V756220 - 1. assign V451259 = V925014 + 1. assign V243410 = V289472. assign V009848 = V483508 - 1. assign V394188 = V168623 + 1. assign V728275 = V942442. assign V015469 = V882178. assign V273151 = V433535 + 1. assign V959755 = V398768 - 1. assign V706959 = V015469. assign V874667 = V693159 + 1. assign V567256 = V134351.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V645449 = V557081 - 1. assign V290061 = V436806 - 1. assign V279284 = V504893. assign V779548 = V670723. assign V602759 = V015469. assign V319699 = V289472 - 1. assign V840858 = V524231. assign V970588 = V122297 + 1. assign V670723 = V522405 + 1. assign V185991 = V639337 + 1. assign V836209 = V504893 - 1. assign V928180 = V522405 + 1. assign V122297 = V665925. assign V643964 = V564767 - 1. assign V316102 = V147856 - 1. assign V856548 = V445404 + 1. assign V056441 = V395107 + 1. assign V605855 = V564767 - 1. assign V032297 = V639337. assign V292967 = V643964 + 1. assign V449826 = V757624. assign V493089 = V363423 + 1. assign V701366 = V279284. assign V855177 = V395107 - 1. assign V231791 = V319209 + 1. assign V456646 = V544611 + 1. assign V557081 = V564767 - 1. assign V645789 = V822144 - 1. assign V113396 = V524231 - 1. assign V235259 = V940359 - 1. assign V965841 = V243410 + 1. assign V945694 = V501587 - 1. assign V319209 = V990808. assign V504893 = V564767 + 1. assign V106684 = V088049 + 1. assign V815166 = V318094 - 1. assign V078013 = V522405 + 1. assign V516274 = V549436. assign V134445 = V504893 + 1. assign V854342 = V352319 + 1. assign V090215 = V641939 - 1. assign V359392 = V764520 - 1. assign V436806 = V761226 - 1. assign V124285 = V572641. assign V990808 = V761226 + 1. assign V639449 = V185991 + 1. assign V890203 = V757624 + 1. assign V021127 = V273151 - 1. assign V757624 = V854342 - 1. assign V223131 = V856548 + 1. assign V289472 = V116554 + 1. assign V993369 = V930374. assign V602687 = V758504. assign V854389 = V639337 - 1. assign V293755 = 7. assign V862804 = V290824 - 1. assign V134351 = V134445. assign V930374 = V352319. assign V667926 = V764520 + 1. assign V483804 = V836209. assign V822144 = V602687 - 1. assign V989077 = V134351. assign V367624 = V483508 - 1. assign V707419 = V293755 - 1. assign V393794 = V622525 + 1. assign V250358 = V147856 + 1. assign V135752 = V168623 + 1. assign V985017 = V359392. assign V180456 = V202304. assign V098532 = V760264. assign V570097 = V122297. assign V227950 = V089636. assign V320626 = V518300 - 1. assign V173176 = V231791 + 1. assign V699902 = V760264 + 1. assign V765115 = V363423 - 1. assign V501587 = V570097 + 1. assign V395107 = V359392 - 1. assign V093710 = V501587. assign V522405 = V564767 - 1. assign V216022 = V572641. assign V488910 = V437686 - 1. assign V733006 = V925014 + 1. assign V080975 = V840858 - 1. assign V285304 = V639337. assign V639337 = V522405 + 1. assign V665925 = V134351 + 1. assign V032957 = V393794 + 1. assign V147856 = V352319. assign V437686 = V116554. assign V301154 = V451259 - 1. assign V250283 = V665925 + 1. assign V426461 = V231791 + 1. assign V363423 = V641939. assign V544611 = V504893 - 1. assign V224014 = V088049 - 1. assign V398768 = V524231 - 1. assign V694100 = V135752 + 1. assign V549436 = V147856 + 1. assign V087820 = V501587 + 1. assign V116554 = V564767 + 1. assign V290824 = V564767. assign V383926 = V564767 - 1. assign V940359 = V173176. assign V169969 = V641939 - 1. assign V956362 = V432113 + 1. assign V757614 = V483804 + 1. assign V445404 = V757624 + 1. assign V897713 = V815166. assign V168623 = V298861 + 1. assign V399725 = V522405 + 1. assign V421118 = V432113 + 1. assign V929962 = V516274 - 1. assign V671528 = V567256. assign V202304 = V399725 - 1. assign V756220 = V564767. assign V186075 = V856548. assign V622525 = V567256. assign V298861 = V854342. assign V352319 = V564767 - 1. assign V432113 = V250283. assign V882178 = V733006 - 1. assign V259941 = V134351 - 1. assign V066630 = V570097. assign V089636 = V699902 - 1. assign V593071 = V134351. assign V932927 = V135752 + 1. assign V318094 = V106684 - 1. assign V315718 = V493089. assign V572641 = V316102 + 1. assign V942442 = V250358 + 1. assign V683610 = V756220 + 1. assign V693159 = V970588 - 1. assign V433535 = V216022 - 1. assign V358980 = V605855 - 1. assign V187431 = V021127. assign V394917 = V436806. assign V641939 = V670723 + 1. assign V871733 = V426461 - 1. assign V096750 = V760264. assign V061525 = V093710 - 1. assign V095033 = V279284 + 1. assign V914058 = V493089 + 1. assign V925014 = V298861. assign V518300 = V516274 - 1. assign V088049 = V134351 - 1. assign V758504 = V483804 - 1. assign V825109 = V319209 - 1. assign V761226 = V134445 - 1. assign V114681 = V173176 - 1. assign V279373 = V757624 - 1. assign V760264 = V570097. assign V361812 = V665925 - 1. assign V367724 = V836209. assign V831809 = V114681. assign V524231 = V259941 - 1. assign V483508 = V168623 - 1. assign V892829 = V643964 + 1. assign V670562 = V316102 + 1. assign V040939 = V216022 - 1. assign V764520 = V756220 - 1. assign V451259 = V925014 + 1. assign V243410 = V289472. assign V009848 = V483508 - 1. assign V394188 = V168623 + 1. assign V728275 = V942442. assign V015469 = V882178. assign V273151 = V433535 + 1. assign V959755 = V398768 - 1. assign V706959 = V015469. assign V874667 = V693159 + 1. assign V567256 = V134351.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV293755 = 7;\n\nFrom these direct assignment(s), we have: \nV707419 = V293755 - 1 = 7 - 1 =6;\nNo other variables can be derived from V707419;\nNo other variables can be derived from V293755;\n\nNow we have done all the calculations. Derived variables are:\nV293755 = 7;\nV707419 = 6;\n\nNow we have finished this problem. ANSWER:\nV293755\n", "role": "assistant" } ]

[ "V735235" ]

[ { "content": "<context>\nassign V422032 = V162419 - 1. assign V748881 = V188974 + 1. assign V009694 = V622305 - 1. assign V343833 = V569014 + 1. assign V212425 = V981989 + 1. assign V574966 = V621853 - 1. assign V783038 = V479495. assign V808305 = V131696 + 1. assign V971469 = V926762 - 1. assign V694694 = V574966. assign V621853 = V262848. assign V288705 = V107022. assign V259086 = V812835 + 1. assign V926762 = V268097. assign V249809 = V334654 - 1. assign V826322 = V162419 - 1. assign V605788 = V213832 - 1. assign V637561 = V275090 - 1. assign V636173 = V607762. assign V298301 = V569014 - 1. assign V955950 = V636173. assign V622673 = V644613 + 1. assign V903684 = V003045 + 1. assign V951296 = V272643 - 1. assign V260070 = V574966 - 1. assign V258135 = V373994 + 1. assign V226159 = V138322. assign V003584 = V162419. assign V107022 = V654642 + 1. assign V111526 = V903684 + 1. assign V654642 = V616516 - 1. assign V131696 = V616516 + 1. assign V359529 = V622673. assign V322420 = V607762 + 1. assign V250817 = V131696 - 1. assign V748416 = V249809. assign V630396 = V776279 + 1. assign V449632 = V732904 + 1. assign V421485 = V885657. assign V148838 = V566302 - 1. assign V847288 = V259086. assign V794971 = V616516 + 1. assign V859208 = V732904. assign V272302 = V179976 - 1. assign V622305 = V288705 - 1. assign V282872 = V621853. assign V060294 = V783038 + 1. assign V032340 = V625773 - 1. assign V880190 = V605788 + 1. assign V072253 = V535727 + 1. assign V691422 = V131696 - 1. assign V651114 = V162419 + 1. assign V335429 = V859208. assign V956363 = V259086 + 1. assign V260942 = V677873 + 1. assign V428080 = V608915 - 1. assign V287028 = V732904. assign V544994 = V131696 - 1. assign V188974 = V525043. assign V293659 = V910072 + 1. assign V169394 = V131696 + 1. assign V355605 = V607762. assign V471888 = V399419. assign V253941 = V654642. assign V522744 = V910072. assign V977178 = V471888 - 1. assign V162419 = V525043 - 1. assign V752030 = V816129. assign V272643 = V794971 + 1. assign V495095 = V816129 + 1. assign V548337 = V986863 - 1. assign V644613 = V859208 + 1. assign V228895 = V644613. assign V308911 = V525043 - 1. assign V003045 = V670505 - 1. assign V989537 = V011805 + 1. assign V685530 = V138322. assign V259415 = V644613. assign V767935 = V607762 - 1. assign V670505 = V138322. assign V833543 = V373994 - 1. assign V497984 = V621853 + 1. assign V936292 = V521265 + 1. assign V535727 = V910072. assign V112006 = V812835 + 1. assign V608915 = V794971 - 1. assign V670380 = V259415 - 1. assign V041841 = V268097 - 1. assign V291080 = V638706 + 1. assign V874823 = V622305. assign V479495 = V452149. assign V074937 = V616516 + 1. assign V084037 = V138322 + 1. assign V527669 = V607762. assign V816129 = V226159 + 1. assign V336157 = V936292 + 1. assign V521265 = V138322. assign V960713 = V910072 + 1. assign V011805 = V685530 + 1. assign V262118 = V910072 + 1. assign V986863 = V259415 - 1. assign V625773 = V816129. assign V372380 = V335429 + 1. assign V058332 = V627176 - 1. assign V669542 = V847404 + 1. assign V569014 = V262848 - 1. assign V320757 = V358193. assign V073355 = V138322 + 1. assign V213832 = V054000 + 1. assign V358193 = V272643 - 1. assign V607762 = V226159. assign V275090 = V651114 + 1. assign V968276 = V188974 - 1. assign V138322 = V616516 - 1. assign V525043 = V654642. assign V813034 = V287028 + 1. assign V953536 = V272302 - 1. assign V569769 = V654642 + 1. assign V262848 = V138322. assign V146914 = V826322 + 1. assign V395538 = V968276 + 1. assign V268950 = V253941 + 1. assign V757175 = V654642. assign V423002 = V511424 - 1. assign V707816 = V373994 - 1. assign V993178 = V816129 - 1. assign V991362 = V566302 + 1. assign V059868 = V282872 + 1. assign V606764 = V636173 - 1. assign V399419 = V253941 + 1. assign V511424 = V259415 - 1. assign V374222 = V322420 + 1. assign V776279 = V373994 - 1. assign V812835 = V259415 + 1. assign V642460 = V428080 - 1. assign V127563 = V752030 - 1. assign V268097 = V956363 + 1. assign V638706 = V816129. assign V732904 = V816129 + 1. assign V284033 = V428080 - 1. assign V570622 = V003045 - 1. assign V915335 = V637561 + 1. assign V677873 = V226159 + 1. assign V100226 = V131696 - 1. assign V263776 = V611586 + 1. assign V482697 = V989537 - 1. assign V179976 = V107022 - 1. assign V084822 = V903684. assign V981989 = V740283 - 1. assign V885657 = V373994 - 1. assign V735235 = V111898 - 1. assign V740283 = V226159 + 1. assign V373994 = V131696 + 1. assign V334654 = V131696 + 1. assign V577545 = V812835 + 1. assign V871043 = V757175. assign V111898 = 10. assign V262484 = V677873. assign V054000 = V812835 - 1. assign V847404 = V670505 + 1. assign V910072 = V373994 - 1. assign V860145 = V630396 + 1. assign V182210 = V268097. assign V627176 = V521265. assign V229432 = V249809 + 1. assign V060918 = V268097. assign V566302 = V740283 + 1. assign V671012 = V707816 - 1. assign V611586 = V259086 - 1. assign V380441 = V670505 - 1. assign V452149 = V630396 - 1. assign V626482 = V953536.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V422032 = V162419 - 1. assign V748881 = V188974 + 1. assign V009694 = V622305 - 1. assign V343833 = V569014 + 1. assign V212425 = V981989 + 1. assign V574966 = V621853 - 1. assign V783038 = V479495. assign V808305 = V131696 + 1. assign V971469 = V926762 - 1. assign V694694 = V574966. assign V621853 = V262848. assign V288705 = V107022. assign V259086 = V812835 + 1. assign V926762 = V268097. assign V249809 = V334654 - 1. assign V826322 = V162419 - 1. assign V605788 = V213832 - 1. assign V637561 = V275090 - 1. assign V636173 = V607762. assign V298301 = V569014 - 1. assign V955950 = V636173. assign V622673 = V644613 + 1. assign V903684 = V003045 + 1. assign V951296 = V272643 - 1. assign V260070 = V574966 - 1. assign V258135 = V373994 + 1. assign V226159 = V138322. assign V003584 = V162419. assign V107022 = V654642 + 1. assign V111526 = V903684 + 1. assign V654642 = V616516 - 1. assign V131696 = V616516 + 1. assign V359529 = V622673. assign V322420 = V607762 + 1. assign V250817 = V131696 - 1. assign V748416 = V249809. assign V630396 = V776279 + 1. assign V449632 = V732904 + 1. assign V421485 = V885657. assign V148838 = V566302 - 1. assign V847288 = V259086. assign V794971 = V616516 + 1. assign V859208 = V732904. assign V272302 = V179976 - 1. assign V622305 = V288705 - 1. assign V282872 = V621853. assign V060294 = V783038 + 1. assign V032340 = V625773 - 1. assign V880190 = V605788 + 1. assign V072253 = V535727 + 1. assign V691422 = V131696 - 1. assign V651114 = V162419 + 1. assign V335429 = V859208. assign V956363 = V259086 + 1. assign V260942 = V677873 + 1. assign V428080 = V608915 - 1. assign V287028 = V732904. assign V544994 = V131696 - 1. assign V188974 = V525043. assign V293659 = V910072 + 1. assign V169394 = V131696 + 1. assign V355605 = V607762. assign V471888 = V399419. assign V253941 = V654642. assign V522744 = V910072. assign V977178 = V471888 - 1. assign V162419 = V525043 - 1. assign V752030 = V816129. assign V272643 = V794971 + 1. assign V495095 = V816129 + 1. assign V548337 = V986863 - 1. assign V644613 = V859208 + 1. assign V228895 = V644613. assign V308911 = V525043 - 1. assign V003045 = V670505 - 1. assign V989537 = V011805 + 1. assign V685530 = V138322. assign V259415 = V644613. assign V767935 = V607762 - 1. assign V670505 = V138322. assign V833543 = V373994 - 1. assign V497984 = V621853 + 1. assign V936292 = V521265 + 1. assign V535727 = V910072. assign V112006 = V812835 + 1. assign V608915 = V794971 - 1. assign V670380 = V259415 - 1. assign V041841 = V268097 - 1. assign V291080 = V638706 + 1. assign V874823 = V622305. assign V479495 = V452149. assign V074937 = V616516 + 1. assign V084037 = V138322 + 1. assign V527669 = V607762. assign V816129 = V226159 + 1. assign V336157 = V936292 + 1. assign V521265 = V138322. assign V960713 = V910072 + 1. assign V011805 = V685530 + 1. assign V262118 = V910072 + 1. assign V986863 = V259415 - 1. assign V625773 = V816129. assign V372380 = V335429 + 1. assign V058332 = V627176 - 1. assign V669542 = V847404 + 1. assign V569014 = V262848 - 1. assign V320757 = V358193. assign V073355 = V138322 + 1. assign V213832 = V054000 + 1. assign V358193 = V272643 - 1. assign V607762 = V226159. assign V275090 = V651114 + 1. assign V968276 = V188974 - 1. assign V138322 = V616516 - 1. assign V525043 = V654642. assign V813034 = V287028 + 1. assign V953536 = V272302 - 1. assign V569769 = V654642 + 1. assign V262848 = V138322. assign V146914 = V826322 + 1. assign V395538 = V968276 + 1. assign V268950 = V253941 + 1. assign V757175 = V654642. assign V423002 = V511424 - 1. assign V707816 = V373994 - 1. assign V993178 = V816129 - 1. assign V991362 = V566302 + 1. assign V059868 = V282872 + 1. assign V606764 = V636173 - 1. assign V399419 = V253941 + 1. assign V511424 = V259415 - 1. assign V374222 = V322420 + 1. assign V776279 = V373994 - 1. assign V812835 = V259415 + 1. assign V642460 = V428080 - 1. assign V127563 = V752030 - 1. assign V268097 = V956363 + 1. assign V638706 = V816129. assign V732904 = V816129 + 1. assign V284033 = V428080 - 1. assign V570622 = V003045 - 1. assign V915335 = V637561 + 1. assign V677873 = V226159 + 1. assign V100226 = V131696 - 1. assign V263776 = V611586 + 1. assign V482697 = V989537 - 1. assign V179976 = V107022 - 1. assign V084822 = V903684. assign V981989 = V740283 - 1. assign V885657 = V373994 - 1. assign V735235 = V111898 - 1. assign V740283 = V226159 + 1. assign V373994 = V131696 + 1. assign V334654 = V131696 + 1. assign V577545 = V812835 + 1. assign V871043 = V757175. assign V111898 = 10. assign V262484 = V677873. assign V054000 = V812835 - 1. assign V847404 = V670505 + 1. assign V910072 = V373994 - 1. assign V860145 = V630396 + 1. assign V182210 = V268097. assign V627176 = V521265. assign V229432 = V249809 + 1. assign V060918 = V268097. assign V566302 = V740283 + 1. assign V671012 = V707816 - 1. assign V611586 = V259086 - 1. assign V380441 = V670505 - 1. assign V452149 = V630396 - 1. assign V626482 = V953536.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV111898 = 10;\n\nFrom these direct assignment(s), we have: \nV735235 = V111898 - 1 = 10 - 1 =9;\nNo other variables can be derived from V735235;\nNo other variables can be derived from V111898;\n\nNow we have done all the calculations. Derived variables are:\nV111898 = 10;\nV735235 = 9;\n\nNow we have finished this problem. ANSWER:\nV735235\n", "role": "assistant" } ]

[ "V315998" ]

[ { "content": "<context>\nassign V858609 = V288631 - 1. assign V560085 = V508062. assign V703330 = V882698 - 1. assign V535388 = V151518 + 1. assign V925505 = V990790 + 1. assign V307203 = V946411 + 1. assign V282820 = V034856 - 1. assign V587352 = V893374. assign V094144 = V575376 - 1. assign V453874 = V383708 - 1. assign V619160 = V745102 - 1. assign V793170 = V051595 - 1. assign V781117 = V946411 - 1. assign V180132 = V307203 + 1. assign V441561 = V490276 + 1. assign V383708 = V529566. assign V581433 = V925505 + 1. assign V740442 = V151204 + 1. assign V508062 = V893374. assign V627730 = V490276 - 1. assign V682435 = V882698. assign V152132 = V186567. assign V359391 = V780049 - 1. assign V516100 = V261063 - 1. assign V718855 = V886876 + 1. assign V648610 = V983286 + 1. assign V709508 = V575376. assign V781355 = V983286 + 1. assign V389347 = V718855 - 1. assign V745102 = V383708 - 1. assign V072532 = V869871 + 1. assign V285484 = V244674 - 1. assign V484930 = V163383 + 1. assign V529566 = V490276 + 1. assign V440366 = V228245. assign V027070 = V835447 - 1. assign V334110 = V151876. assign V350470 = V180132 - 1. assign V392583 = V985786. assign V491375 = V034856. assign V328526 = V154325. assign V228245 = V529566 + 1. assign V927133 = V619160. assign V187256 = V912923 + 1. assign V122888 = V440366. assign V131158 = V893374 + 1. assign V061836 = V107344. assign V437001 = V440366 + 1. assign V109542 = V027070 + 1. assign V869871 = V458663 - 1. assign V713793 = V925505 - 1. assign V907513 = V186567. assign V293616 = V186567 - 1. assign V261063 = V718855 - 1. assign V471447 = V700752. assign V564753 = V300677 + 1. assign V228047 = V282820 + 1. assign V717369 = V441561. assign V224178 = V027070 + 1. assign V238886 = V163383 - 1. assign V464421 = V383651. assign V229587 = V648610. assign V835447 = V983286 - 1. assign V472054 = V261063 + 1. assign V794707 = V791137. assign V895213 = V344898. assign V963458 = V151876 + 1. assign V107344 = V835447 - 1. assign V490276 = V983286 - 1. assign V886876 = V986905. assign V909356 = V647948. assign V151518 = V609347 + 1. assign V458663 = V627730 + 1. assign V410260 = V225089. assign V453719 = V908412 + 1. assign V225089 = V986905. assign V129213 = V946411 - 1. assign V151204 = V516100. assign V357003 = V388835 - 1. assign V740272 = V225089 + 1. assign V436526 = V575376 - 1. assign V990116 = V389347 - 1. assign V004555 = V307203 + 1. assign V731040 = V129213 - 1. assign V153635 = V228245 - 1. assign V896458 = V389347 - 1. assign V405964 = V522813 - 1. assign V882698 = V714568. assign V255951 = V619330 - 1. assign V151876 = V490276 - 1. assign V315998 = V577990 - 1. assign V636655 = V229587 - 1. assign V389267 = V151876. assign V828174 = V458663. assign V749537 = V876872 + 1. assign V288631 = V389347. assign V304044 = V908412. assign V577990 = 0. assign V364280 = V587352 - 1. assign V867486 = V024290. assign V024290 = V983286. assign V154325 = V886876 + 1. assign V395814 = V529566. assign V773345 = V609347. assign V876872 = V828174 - 1. assign V609347 = V228245. assign V575376 = V627730. assign V363780 = V893374 - 1. assign V249016 = V383708 - 1. assign V049271 = V700752. assign V388835 = V781972 + 1. assign V827608 = V794707 + 1. assign V985786 = V740272 + 1. assign V489700 = V869871. assign V726362 = V781117 + 1. assign V714568 = V228245 + 1. assign V226190 = V858609 - 1. assign V344898 = V780049 - 1. assign V245401 = V725732 - 1. assign V564562 = V061836 + 1. assign V456920 = V718855 + 1. assign V725732 = V389347 - 1. assign V727062 = V990116. assign V983286 = V780049 + 1. assign V285135 = V925505 - 1. assign V244674 = V627730 + 1. assign V344586 = V156516 - 1. assign V812438 = V072532. assign V228791 = V622529. assign V808071 = V129213 + 1. assign V757803 = V072532 - 1. assign V311052 = V151876 - 1. assign V619330 = V529566. assign V647948 = V986905. assign V186567 = V700752 + 1. assign V611868 = V967368 + 1. assign V267998 = V647948. assign V383651 = V350004. assign V075447 = V350004 - 1. assign V163383 = V647948 + 1. assign V622529 = V389347. assign V114549 = V458663 - 1. assign V908412 = V458663 + 1. assign V946411 = V983286. assign V022218 = V986905 + 1. assign V700752 = V647948 - 1. assign V967368 = V584742 - 1. assign V300677 = V584742 + 1. assign V338796 = V441561 - 1. assign V676537 = V453719 - 1. assign V350004 = V458663 - 1. assign V330453 = V619330. assign V846939 = V491375 + 1. assign V791137 = V229587 - 1. assign V912923 = V990790. assign V269086 = V781972 + 1. assign V893374 = V780049 - 1. assign V206093 = V350470. assign V034856 = V781355. assign V011013 = V835447 - 1. assign V990790 = V627730 + 1. assign V781972 = V700752 - 1. assign V522813 = V858609 + 1. assign V454742 = V676537. assign V584742 = V781117 - 1. assign V051595 = V267998 + 1. assign V156516 = V458663 - 1. assign V505503 = V780049 - 1. assign V986905 = V780049 + 1. assign V109348 = V907513 + 1. assign V302849 = V983286 + 1. assign V993450 = V453874.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V858609 = V288631 - 1. assign V560085 = V508062. assign V703330 = V882698 - 1. assign V535388 = V151518 + 1. assign V925505 = V990790 + 1. assign V307203 = V946411 + 1. assign V282820 = V034856 - 1. assign V587352 = V893374. assign V094144 = V575376 - 1. assign V453874 = V383708 - 1. assign V619160 = V745102 - 1. assign V793170 = V051595 - 1. assign V781117 = V946411 - 1. assign V180132 = V307203 + 1. assign V441561 = V490276 + 1. assign V383708 = V529566. assign V581433 = V925505 + 1. assign V740442 = V151204 + 1. assign V508062 = V893374. assign V627730 = V490276 - 1. assign V682435 = V882698. assign V152132 = V186567. assign V359391 = V780049 - 1. assign V516100 = V261063 - 1. assign V718855 = V886876 + 1. assign V648610 = V983286 + 1. assign V709508 = V575376. assign V781355 = V983286 + 1. assign V389347 = V718855 - 1. assign V745102 = V383708 - 1. assign V072532 = V869871 + 1. assign V285484 = V244674 - 1. assign V484930 = V163383 + 1. assign V529566 = V490276 + 1. assign V440366 = V228245. assign V027070 = V835447 - 1. assign V334110 = V151876. assign V350470 = V180132 - 1. assign V392583 = V985786. assign V491375 = V034856. assign V328526 = V154325. assign V228245 = V529566 + 1. assign V927133 = V619160. assign V187256 = V912923 + 1. assign V122888 = V440366. assign V131158 = V893374 + 1. assign V061836 = V107344. assign V437001 = V440366 + 1. assign V109542 = V027070 + 1. assign V869871 = V458663 - 1. assign V713793 = V925505 - 1. assign V907513 = V186567. assign V293616 = V186567 - 1. assign V261063 = V718855 - 1. assign V471447 = V700752. assign V564753 = V300677 + 1. assign V228047 = V282820 + 1. assign V717369 = V441561. assign V224178 = V027070 + 1. assign V238886 = V163383 - 1. assign V464421 = V383651. assign V229587 = V648610. assign V835447 = V983286 - 1. assign V472054 = V261063 + 1. assign V794707 = V791137. assign V895213 = V344898. assign V963458 = V151876 + 1. assign V107344 = V835447 - 1. assign V490276 = V983286 - 1. assign V886876 = V986905. assign V909356 = V647948. assign V151518 = V609347 + 1. assign V458663 = V627730 + 1. assign V410260 = V225089. assign V453719 = V908412 + 1. assign V225089 = V986905. assign V129213 = V946411 - 1. assign V151204 = V516100. assign V357003 = V388835 - 1. assign V740272 = V225089 + 1. assign V436526 = V575376 - 1. assign V990116 = V389347 - 1. assign V004555 = V307203 + 1. assign V731040 = V129213 - 1. assign V153635 = V228245 - 1. assign V896458 = V389347 - 1. assign V405964 = V522813 - 1. assign V882698 = V714568. assign V255951 = V619330 - 1. assign V151876 = V490276 - 1. assign V315998 = V577990 - 1. assign V636655 = V229587 - 1. assign V389267 = V151876. assign V828174 = V458663. assign V749537 = V876872 + 1. assign V288631 = V389347. assign V304044 = V908412. assign V577990 = 0. assign V364280 = V587352 - 1. assign V867486 = V024290. assign V024290 = V983286. assign V154325 = V886876 + 1. assign V395814 = V529566. assign V773345 = V609347. assign V876872 = V828174 - 1. assign V609347 = V228245. assign V575376 = V627730. assign V363780 = V893374 - 1. assign V249016 = V383708 - 1. assign V049271 = V700752. assign V388835 = V781972 + 1. assign V827608 = V794707 + 1. assign V985786 = V740272 + 1. assign V489700 = V869871. assign V726362 = V781117 + 1. assign V714568 = V228245 + 1. assign V226190 = V858609 - 1. assign V344898 = V780049 - 1. assign V245401 = V725732 - 1. assign V564562 = V061836 + 1. assign V456920 = V718855 + 1. assign V725732 = V389347 - 1. assign V727062 = V990116. assign V983286 = V780049 + 1. assign V285135 = V925505 - 1. assign V244674 = V627730 + 1. assign V344586 = V156516 - 1. assign V812438 = V072532. assign V228791 = V622529. assign V808071 = V129213 + 1. assign V757803 = V072532 - 1. assign V311052 = V151876 - 1. assign V619330 = V529566. assign V647948 = V986905. assign V186567 = V700752 + 1. assign V611868 = V967368 + 1. assign V267998 = V647948. assign V383651 = V350004. assign V075447 = V350004 - 1. assign V163383 = V647948 + 1. assign V622529 = V389347. assign V114549 = V458663 - 1. assign V908412 = V458663 + 1. assign V946411 = V983286. assign V022218 = V986905 + 1. assign V700752 = V647948 - 1. assign V967368 = V584742 - 1. assign V300677 = V584742 + 1. assign V338796 = V441561 - 1. assign V676537 = V453719 - 1. assign V350004 = V458663 - 1. assign V330453 = V619330. assign V846939 = V491375 + 1. assign V791137 = V229587 - 1. assign V912923 = V990790. assign V269086 = V781972 + 1. assign V893374 = V780049 - 1. assign V206093 = V350470. assign V034856 = V781355. assign V011013 = V835447 - 1. assign V990790 = V627730 + 1. assign V781972 = V700752 - 1. assign V522813 = V858609 + 1. assign V454742 = V676537. assign V584742 = V781117 - 1. assign V051595 = V267998 + 1. assign V156516 = V458663 - 1. assign V505503 = V780049 - 1. assign V986905 = V780049 + 1. assign V109348 = V907513 + 1. assign V302849 = V983286 + 1. assign V993450 = V453874.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV577990 = 0;\n\nFrom these direct assignment(s), we have: \nV315998 = V577990 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V315998;\nNo other variables can be derived from V577990;\n\nNow we have done all the calculations. Derived variables are:\nV577990 = 0;\nV315998 = -1;\n\nNow we have finished this problem. ANSWER:\nV315998\n", "role": "assistant" } ]

[ "V711129", "V730267" ]

[ { "content": "<context>\nassign V616904 = V918868 + 1. assign V720939 = V736086. assign V706239 = V733863. assign V383380 = V416914 - 1. assign V038286 = V465988. assign V899638 = V981568 + 1. assign V685592 = V015160. assign V453128 = V530621 + 1. assign V114536 = V097393 + 1. assign V236692 = V655563 - 1. assign V931172 = V083097. assign V205871 = V349665 - 1. assign V520879 = V064254 - 1. assign V176208 = V377617. assign V237711 = V774003 + 1. assign V733863 = V227466 + 1. assign V236429 = V382404 + 1. assign V285995 = V982881. assign V670736 = V774003 - 1. assign V393488 = V028312 - 1. assign V269782 = V557402 + 1. assign V480021 = V733863 - 1. assign V760101 = V234734 - 1. assign V028312 = V797350 - 1. assign V274146 = V811513 + 1. assign V465813 = V079862 + 1. assign V610507 = V028312 + 1. assign V286816 = V028312. assign V377065 = V756264 + 1. assign V796745 = V745680 + 1. assign V382404 = V015160 - 1. assign V238020 = V848299 - 1. assign V519156 = V853021. assign V790501 = V001614 + 1. assign V964062 = V212676. assign V744883 = V030968 + 1. assign V145970 = V236692 + 1. assign V982881 = V774003 + 1. assign V488307 = V690451 + 1. assign V738333 = V475945 - 1. assign V048438 = V670736 + 1. assign V918868 = V079862 - 1. assign V212676 = V811513 - 1. assign V607544 = V391494. assign V707976 = V416914 + 1. assign V980832 = V035149 + 1. assign V811513 = V327677 + 1. assign V950000 = V745680. assign V643884 = V445104. assign V730267 = V711129. assign V364664 = V039027 - 1. assign V152060 = V391494 - 1. assign V072528 = V808664 + 1. assign V753464 = V198372 + 1. assign V466310 = V095496 - 1. assign V222988 = V616922 - 1. assign V102876 = V145970 - 1. assign V327677 = V690451 + 1. assign V963358 = V341633 - 1. assign V594528 = V269782 + 1. assign V981568 = V477276. assign V314293 = V477276. assign V774003 = V176208 - 1. assign V244658 = V095496 + 1. assign V416914 = V227466. assign V511453 = V465988. assign V390487 = V744883 + 1. assign V900859 = V526313 - 1. assign V759807 = V517017 - 1. assign V653975 = V327677. assign V984300 = V028312. assign V095496 = V274146. assign V465988 = V176208 + 1. assign V584136 = V483901 + 1. assign V445104 = V797350. assign V035653 = V610507 - 1. assign V530621 = V286816. assign V690451 = V028312 - 1. assign V796732 = V981568 + 1. assign V909006 = V462951. assign V377617 = V445104 + 1. assign V969945 = V653656 - 1. assign V745680 = V797350 - 1. assign V859233 = V586331. assign V539641 = V077802 + 1. assign V432818 = V299543 - 1. assign V097393 = V286816. assign V159374 = V519156. assign V760385 = V391494. assign V845076 = V252684. assign V075522 = V918868. assign V760748 = V982881 + 1. assign V483901 = V653975. assign V030968 = V774003 - 1. assign V227466 = V653975. assign V994869 = V526313 + 1. assign V341633 = V797350 + 1. assign V756264 = V028312 + 1. assign V711129 = 0. assign V853297 = V959146 + 1. assign V853021 = V028312 + 1. assign V535513 = V445104 - 1. assign V410978 = V963358 + 1. assign V288514 = V095496. assign V676912 = V690451 + 1. assign V099519 = V853297 - 1. assign V252684 = V709859 + 1. assign V083097 = V382404. assign V797350 = V039027 + 1. assign V079862 = V653975 - 1. assign V795475 = V377065 + 1. assign V581981 = V550403 + 1. assign V064254 = V314293 - 1. assign V835022 = V655563 + 1. assign V159332 = V984300 - 1. assign V846365 = V416914. assign V586331 = V797350. assign V826094 = V077802 + 1. assign V077802 = V488307 + 1. assign V001614 = V586331 + 1. assign V035149 = V808664 + 1. assign V655563 = V327677. assign V182874 = V388505 - 1. assign V462951 = V035653. assign V736086 = V594528. assign V013086 = V526313 + 1. assign V475945 = V982881. assign V170426 = V035653 - 1. assign V903035 = V048438. assign V056067 = V227466 - 1. assign V995007 = V797350 + 1. assign V736578 = V959146. assign V224879 = V853021. assign V161611 = V285995. assign V327869 = V676912 + 1. assign V299543 = V079862 + 1. assign V956139 = V274146 + 1. assign V808664 = V382404 + 1. assign V852043 = V995007 - 1. assign V848299 = V557402 + 1. assign V663118 = V030968 + 1. assign V114847 = V015160 - 1. assign V653656 = V797350 + 1. assign V526313 = V445104. assign V557402 = V526313. assign V015160 = V811513 - 1. assign V234734 = V364664 + 1. assign V249955 = V918868. assign V472199 = V327677 + 1. assign V767240 = V655563 - 1. assign V959146 = V733863 - 1. assign V009498 = V102876. assign V709859 = V767240. assign V388505 = V517017 - 1. assign V465248 = V959146 + 1. assign V038983 = V488307 - 1. assign V845560 = V982881. assign V193729 = V811513. assign V493035 = V557402 + 1. assign V391494 = V982881 - 1. assign V517017 = V959146 + 1. assign V340022 = V511453. assign V550403 = V030968 + 1. assign V183113 = V064254. assign V886460 = V327677 - 1. assign V475904 = V176208 + 1. assign V198372 = V963358 + 1. assign V477276 = V234734 + 1. assign V418831 = V760748. assign V767911 = V364664 - 1. assign V349665 = V530621. assign V616922 = V227466 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V616904 = V918868 + 1. assign V720939 = V736086. assign V706239 = V733863. assign V383380 = V416914 - 1. assign V038286 = V465988. assign V899638 = V981568 + 1. assign V685592 = V015160. assign V453128 = V530621 + 1. assign V114536 = V097393 + 1. assign V236692 = V655563 - 1. assign V931172 = V083097. assign V205871 = V349665 - 1. assign V520879 = V064254 - 1. assign V176208 = V377617. assign V237711 = V774003 + 1. assign V733863 = V227466 + 1. assign V236429 = V382404 + 1. assign V285995 = V982881. assign V670736 = V774003 - 1. assign V393488 = V028312 - 1. assign V269782 = V557402 + 1. assign V480021 = V733863 - 1. assign V760101 = V234734 - 1. assign V028312 = V797350 - 1. assign V274146 = V811513 + 1. assign V465813 = V079862 + 1. assign V610507 = V028312 + 1. assign V286816 = V028312. assign V377065 = V756264 + 1. assign V796745 = V745680 + 1. assign V382404 = V015160 - 1. assign V238020 = V848299 - 1. assign V519156 = V853021. assign V790501 = V001614 + 1. assign V964062 = V212676. assign V744883 = V030968 + 1. assign V145970 = V236692 + 1. assign V982881 = V774003 + 1. assign V488307 = V690451 + 1. assign V738333 = V475945 - 1. assign V048438 = V670736 + 1. assign V918868 = V079862 - 1. assign V212676 = V811513 - 1. assign V607544 = V391494. assign V707976 = V416914 + 1. assign V980832 = V035149 + 1. assign V811513 = V327677 + 1. assign V950000 = V745680. assign V643884 = V445104. assign V730267 = V711129. assign V364664 = V039027 - 1. assign V152060 = V391494 - 1. assign V072528 = V808664 + 1. assign V753464 = V198372 + 1. assign V466310 = V095496 - 1. assign V222988 = V616922 - 1. assign V102876 = V145970 - 1. assign V327677 = V690451 + 1. assign V963358 = V341633 - 1. assign V594528 = V269782 + 1. assign V981568 = V477276. assign V314293 = V477276. assign V774003 = V176208 - 1. assign V244658 = V095496 + 1. assign V416914 = V227466. assign V511453 = V465988. assign V390487 = V744883 + 1. assign V900859 = V526313 - 1. assign V759807 = V517017 - 1. assign V653975 = V327677. assign V984300 = V028312. assign V095496 = V274146. assign V465988 = V176208 + 1. assign V584136 = V483901 + 1. assign V445104 = V797350. assign V035653 = V610507 - 1. assign V530621 = V286816. assign V690451 = V028312 - 1. assign V796732 = V981568 + 1. assign V909006 = V462951. assign V377617 = V445104 + 1. assign V969945 = V653656 - 1. assign V745680 = V797350 - 1. assign V859233 = V586331. assign V539641 = V077802 + 1. assign V432818 = V299543 - 1. assign V097393 = V286816. assign V159374 = V519156. assign V760385 = V391494. assign V845076 = V252684. assign V075522 = V918868. assign V760748 = V982881 + 1. assign V483901 = V653975. assign V030968 = V774003 - 1. assign V227466 = V653975. assign V994869 = V526313 + 1. assign V341633 = V797350 + 1. assign V756264 = V028312 + 1. assign V711129 = 0. assign V853297 = V959146 + 1. assign V853021 = V028312 + 1. assign V535513 = V445104 - 1. assign V410978 = V963358 + 1. assign V288514 = V095496. assign V676912 = V690451 + 1. assign V099519 = V853297 - 1. assign V252684 = V709859 + 1. assign V083097 = V382404. assign V797350 = V039027 + 1. assign V079862 = V653975 - 1. assign V795475 = V377065 + 1. assign V581981 = V550403 + 1. assign V064254 = V314293 - 1. assign V835022 = V655563 + 1. assign V159332 = V984300 - 1. assign V846365 = V416914. assign V586331 = V797350. assign V826094 = V077802 + 1. assign V077802 = V488307 + 1. assign V001614 = V586331 + 1. assign V035149 = V808664 + 1. assign V655563 = V327677. assign V182874 = V388505 - 1. assign V462951 = V035653. assign V736086 = V594528. assign V013086 = V526313 + 1. assign V475945 = V982881. assign V170426 = V035653 - 1. assign V903035 = V048438. assign V056067 = V227466 - 1. assign V995007 = V797350 + 1. assign V736578 = V959146. assign V224879 = V853021. assign V161611 = V285995. assign V327869 = V676912 + 1. assign V299543 = V079862 + 1. assign V956139 = V274146 + 1. assign V808664 = V382404 + 1. assign V852043 = V995007 - 1. assign V848299 = V557402 + 1. assign V663118 = V030968 + 1. assign V114847 = V015160 - 1. assign V653656 = V797350 + 1. assign V526313 = V445104. assign V557402 = V526313. assign V015160 = V811513 - 1. assign V234734 = V364664 + 1. assign V249955 = V918868. assign V472199 = V327677 + 1. assign V767240 = V655563 - 1. assign V959146 = V733863 - 1. assign V009498 = V102876. assign V709859 = V767240. assign V388505 = V517017 - 1. assign V465248 = V959146 + 1. assign V038983 = V488307 - 1. assign V845560 = V982881. assign V193729 = V811513. assign V493035 = V557402 + 1. assign V391494 = V982881 - 1. assign V517017 = V959146 + 1. assign V340022 = V511453. assign V550403 = V030968 + 1. assign V183113 = V064254. assign V886460 = V327677 - 1. assign V475904 = V176208 + 1. assign V198372 = V963358 + 1. assign V477276 = V234734 + 1. assign V418831 = V760748. assign V767911 = V364664 - 1. assign V349665 = V530621. assign V616922 = V227466 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV711129 = 0;\n\nFrom these direct assignment(s), we have: \nV730267 = V711129 = 0;\nNo other variables can be derived from V730267;\nNo other variables can be derived from V711129;\n\nNow we have done all the calculations. Derived variables are:\nV711129 = 0;\nV730267 = 0;\n\nNow we have finished this problem. ANSWER:\nV711129, V730267\n", "role": "assistant" } ]

[ "V401624", "V780770" ]

[ { "content": "<context>\nassign V306243 = V463720 - 1. assign V812940 = V726115. assign V203722 = V477335 - 1. assign V780770 = V401624. assign V534229 = V584464 + 1. assign V604412 = V227524 - 1. assign V530858 = V122345. assign V184743 = V785622 - 1. assign V881334 = V676532 - 1. assign V168823 = V785622 - 1. assign V013886 = V667227 - 1. assign V146872 = V932794 + 1. assign V068350 = V917377 - 1. assign V958887 = V203194. assign V227524 = V009240 + 1. assign V575602 = V191277. assign V611775 = V879662 - 1. assign V275112 = V545654. assign V491037 = V257230 - 1. assign V521515 = V241457 - 1. assign V016133 = V917377 + 1. assign V193132 = V570669 - 1. assign V742669 = V768078. assign V874865 = V204249. assign V257230 = V682456. assign V622362 = V241457 - 1. assign V084322 = V253440. assign V306734 = V210084 - 1. assign V852493 = V665431 + 1. assign V598902 = V416064 + 1. assign V706580 = V275112 - 1. assign V909777 = V889563 + 1. assign V922215 = V210084. assign V488510 = V818056 + 1. assign V245637 = V889563 - 1. assign V262682 = V122345 + 1. assign V851432 = V755914 + 1. assign V846248 = V275112 - 1. assign V180956 = V879662. assign V877223 = V726115 - 1. assign V818056 = V889563 + 1. assign V301385 = V191277. assign V705332 = V889563. assign V275985 = V122345 + 1. assign V086697 = V119349. assign V506299 = V204249. assign V496190 = V812940 - 1. assign V740304 = V009240 + 1. assign V584464 = V663566 + 1. assign V275464 = V755914 + 1. assign V921796 = V731332 - 1. assign V210084 = V889563 - 1. assign V427573 = V976706 - 1. assign V573008 = V191277 + 1. assign V545654 = V879662 - 1. assign V994952 = V976706 + 1. assign V349658 = V663566 - 1. assign V477335 = V889563 + 1. assign V416064 = V839730 - 1. assign V325906 = V527335 + 1. assign V917377 = V180956 - 1. assign V217065 = V976706 - 1. assign V055559 = V882892 - 1. assign V935695 = V824117 + 1. assign V117090 = V527335. assign V647249 = V275112 - 1. assign V678847 = V882892 + 1. assign V932794 = V049449. assign V916819 = V917377. assign V983874 = V204249. assign V411612 = V009240 + 1. assign V976706 = V204249 - 1. assign V160158 = V747324. assign V471510 = V242815. assign V989841 = V210084 - 1. assign V665431 = V611775. assign V666609 = V488510 - 1. assign V304730 = V468374 + 1. assign V149917 = V185824 + 1. assign V131717 = V411612 - 1. assign V010248 = V203194 - 1. assign V401624 = 2. assign V069657 = V210084 + 1. assign V175169 = V577032 - 1. assign V463720 = V666609 + 1. assign V839730 = V471510. assign V099492 = V416064 + 1. assign V577032 = V740304. assign V893232 = V301385. assign V242815 = V889563. assign V437750 = V009240 + 1. assign V770726 = V275112. assign V805622 = V676532 + 1. assign V650983 = V204249. assign V009240 = V889563 + 1. assign V770480 = V030772. assign V516276 = V726115 - 1. assign V241438 = V721000. assign V445997 = V516276 + 1. assign V158292 = V437750 - 1. assign V846170 = V650983 - 1. assign V879057 = V663566. assign V411988 = V545654 + 1. assign V191277 = V030772. assign V745864 = V755914 + 1. assign V110720 = V916819 + 1. assign V574525 = V839730 - 1. assign V793349 = V889563 + 1. assign V049449 = V922215 + 1. assign V976273 = V516276 - 1. assign V768078 = V306734 + 1. assign V824897 = V204249. assign V119349 = V731332. assign V287664 = V175169 + 1. assign V527335 = V575602 + 1. assign V929537 = V839730 + 1. assign V639942 = V306734 + 1. assign V468374 = V889563 + 1. assign V775990 = V203194. assign V050182 = V099492 + 1. assign V337107 = V545654 - 1. assign V052132 = V846170. assign V727004 = V846248 + 1. assign V315909 = V055559 + 1. assign V026525 = V016133. assign V788972 = V506299. assign V122345 = V191277. assign V663566 = V879662 + 1. assign V866256 = V110720 + 1. assign V935882 = V011829. assign V731332 = V030772 - 1. assign V717102 = V575602. assign V785622 = V203194. assign V682456 = V527335. assign V010673 = V180956. assign V755914 = V191277 + 1. assign V607078 = V611775 + 1. assign V004672 = V241438 + 1. assign V654774 = V275985 - 1. assign V204249 = V916819 + 1. assign V824117 = V917377 - 1. assign V575681 = V682456 + 1. assign V508416 = V468374 - 1. assign V667227 = V575602 - 1. assign V000184 = V705332 + 1. assign V570669 = V740304 - 1. assign V744460 = V639942. assign V683506 = V210084. assign V011829 = V922215 - 1. assign V726115 = V663566 - 1. assign V466306 = V577032 - 1. assign V462394 = V203194. assign V185957 = V471510 - 1. assign V185824 = V491037 - 1. assign V253440 = V584464 - 1. assign V203194 = V639942 + 1. assign V676532 = V468374 + 1. assign V015154 = V030772. assign V517287 = V011829 + 1. assign V201621 = V755914 - 1. assign V158674 = V917377 + 1. assign V223560 = V818056. assign V241457 = V846248 + 1. assign V028690 = V175169 + 1. assign V484213 = V016133. assign V882892 = V191277 + 1. assign V892824 = V049449. assign V879662 = V242815. assign V030772 = V879662. assign V747324 = V168823 + 1. assign V721000 = V527335 - 1. assign V749016 = V191277 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V306243 = V463720 - 1. assign V812940 = V726115. assign V203722 = V477335 - 1. assign V780770 = V401624. assign V534229 = V584464 + 1. assign V604412 = V227524 - 1. assign V530858 = V122345. assign V184743 = V785622 - 1. assign V881334 = V676532 - 1. assign V168823 = V785622 - 1. assign V013886 = V667227 - 1. assign V146872 = V932794 + 1. assign V068350 = V917377 - 1. assign V958887 = V203194. assign V227524 = V009240 + 1. assign V575602 = V191277. assign V611775 = V879662 - 1. assign V275112 = V545654. assign V491037 = V257230 - 1. assign V521515 = V241457 - 1. assign V016133 = V917377 + 1. assign V193132 = V570669 - 1. assign V742669 = V768078. assign V874865 = V204249. assign V257230 = V682456. assign V622362 = V241457 - 1. assign V084322 = V253440. assign V306734 = V210084 - 1. assign V852493 = V665431 + 1. assign V598902 = V416064 + 1. assign V706580 = V275112 - 1. assign V909777 = V889563 + 1. assign V922215 = V210084. assign V488510 = V818056 + 1. assign V245637 = V889563 - 1. assign V262682 = V122345 + 1. assign V851432 = V755914 + 1. assign V846248 = V275112 - 1. assign V180956 = V879662. assign V877223 = V726115 - 1. assign V818056 = V889563 + 1. assign V301385 = V191277. assign V705332 = V889563. assign V275985 = V122345 + 1. assign V086697 = V119349. assign V506299 = V204249. assign V496190 = V812940 - 1. assign V740304 = V009240 + 1. assign V584464 = V663566 + 1. assign V275464 = V755914 + 1. assign V921796 = V731332 - 1. assign V210084 = V889563 - 1. assign V427573 = V976706 - 1. assign V573008 = V191277 + 1. assign V545654 = V879662 - 1. assign V994952 = V976706 + 1. assign V349658 = V663566 - 1. assign V477335 = V889563 + 1. assign V416064 = V839730 - 1. assign V325906 = V527335 + 1. assign V917377 = V180956 - 1. assign V217065 = V976706 - 1. assign V055559 = V882892 - 1. assign V935695 = V824117 + 1. assign V117090 = V527335. assign V647249 = V275112 - 1. assign V678847 = V882892 + 1. assign V932794 = V049449. assign V916819 = V917377. assign V983874 = V204249. assign V411612 = V009240 + 1. assign V976706 = V204249 - 1. assign V160158 = V747324. assign V471510 = V242815. assign V989841 = V210084 - 1. assign V665431 = V611775. assign V666609 = V488510 - 1. assign V304730 = V468374 + 1. assign V149917 = V185824 + 1. assign V131717 = V411612 - 1. assign V010248 = V203194 - 1. assign V401624 = 2. assign V069657 = V210084 + 1. assign V175169 = V577032 - 1. assign V463720 = V666609 + 1. assign V839730 = V471510. assign V099492 = V416064 + 1. assign V577032 = V740304. assign V893232 = V301385. assign V242815 = V889563. assign V437750 = V009240 + 1. assign V770726 = V275112. assign V805622 = V676532 + 1. assign V650983 = V204249. assign V009240 = V889563 + 1. assign V770480 = V030772. assign V516276 = V726115 - 1. assign V241438 = V721000. assign V445997 = V516276 + 1. assign V158292 = V437750 - 1. assign V846170 = V650983 - 1. assign V879057 = V663566. assign V411988 = V545654 + 1. assign V191277 = V030772. assign V745864 = V755914 + 1. assign V110720 = V916819 + 1. assign V574525 = V839730 - 1. assign V793349 = V889563 + 1. assign V049449 = V922215 + 1. assign V976273 = V516276 - 1. assign V768078 = V306734 + 1. assign V824897 = V204249. assign V119349 = V731332. assign V287664 = V175169 + 1. assign V527335 = V575602 + 1. assign V929537 = V839730 + 1. assign V639942 = V306734 + 1. assign V468374 = V889563 + 1. assign V775990 = V203194. assign V050182 = V099492 + 1. assign V337107 = V545654 - 1. assign V052132 = V846170. assign V727004 = V846248 + 1. assign V315909 = V055559 + 1. assign V026525 = V016133. assign V788972 = V506299. assign V122345 = V191277. assign V663566 = V879662 + 1. assign V866256 = V110720 + 1. assign V935882 = V011829. assign V731332 = V030772 - 1. assign V717102 = V575602. assign V785622 = V203194. assign V682456 = V527335. assign V010673 = V180956. assign V755914 = V191277 + 1. assign V607078 = V611775 + 1. assign V004672 = V241438 + 1. assign V654774 = V275985 - 1. assign V204249 = V916819 + 1. assign V824117 = V917377 - 1. assign V575681 = V682456 + 1. assign V508416 = V468374 - 1. assign V667227 = V575602 - 1. assign V000184 = V705332 + 1. assign V570669 = V740304 - 1. assign V744460 = V639942. assign V683506 = V210084. assign V011829 = V922215 - 1. assign V726115 = V663566 - 1. assign V466306 = V577032 - 1. assign V462394 = V203194. assign V185957 = V471510 - 1. assign V185824 = V491037 - 1. assign V253440 = V584464 - 1. assign V203194 = V639942 + 1. assign V676532 = V468374 + 1. assign V015154 = V030772. assign V517287 = V011829 + 1. assign V201621 = V755914 - 1. assign V158674 = V917377 + 1. assign V223560 = V818056. assign V241457 = V846248 + 1. assign V028690 = V175169 + 1. assign V484213 = V016133. assign V882892 = V191277 + 1. assign V892824 = V049449. assign V879662 = V242815. assign V030772 = V879662. assign V747324 = V168823 + 1. assign V721000 = V527335 - 1. assign V749016 = V191277 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV401624 = 2;\n\nFrom these direct assignment(s), we have: \nV780770 = V401624 = 2;\nNo other variables can be derived from V780770;\nNo other variables can be derived from V401624;\n\nNow we have done all the calculations. Derived variables are:\nV401624 = 2;\nV780770 = 2;\n\nNow we have finished this problem. ANSWER:\nV401624, V780770\n", "role": "assistant" } ]

[ "V199750" ]

[ { "content": "<context>\nassign V718642 = V526629 + 1. assign V019519 = V395807. assign V556253 = V479136 + 1. assign V608005 = V238696. assign V783154 = V615639 + 1. assign V225896 = V629538 - 1. assign V556738 = V914878 + 1. assign V300506 = V238696 - 1. assign V797780 = V444760. assign V059208 = V238696 - 1. assign V394377 = V341927 + 1. assign V065205 = V833382. assign V107263 = V387369 + 1. assign V504010 = V073701 - 1. assign V615164 = V557870 - 1. assign V322146 = V584339 + 1. assign V395807 = V383882 - 1. assign V612977 = V225896 - 1. assign V923060 = V387369 - 1. assign V063367 = V980549 - 1. assign V931497 = V835910. assign V856749 = V300506 + 1. assign V264941 = V397849 + 1. assign V660968 = V397849. assign V141987 = V556253 - 1. assign V833382 = V959586 - 1. assign V573767 = V199750 + 1. assign V499849 = V141751 - 1. assign V404346 = V793079. assign V402970 = V946969. assign V584339 = V402970. assign V409660 = V300506 + 1. assign V106701 = V790699. assign V996447 = V592812. assign V596474 = V214112 + 1. assign V341927 = V079750 + 1. assign V402380 = V281458 - 1. assign V602345 = V760442. assign V789824 = V684307. assign V174640 = V066090. assign V987924 = V959586 - 1. assign V956538 = V797780 + 1. assign V397849 = V395807. assign V073676 = V479136 + 1. assign V131488 = V322780. assign V695597 = V506794. assign V338612 = V379944 + 1. assign V324995 = V063367 - 1. assign V369436 = V365882 - 1. assign V482684 = V931497. assign V956456 = V550458 - 1. assign V186524 = V218985 - 1. assign V263655 = V141751 + 1. assign V253918 = V931497. assign V254883 = V232816. assign V946969 = V005159 - 1. assign V562545 = V968749 - 1. assign V777880 = V059208. assign V667264 = V760442 - 1. assign V002508 = V365882 - 1. assign V684395 = V891412 + 1. assign V351164 = V415255 - 1. assign V109720 = V452805 + 1. assign V486730 = V608005. assign V730228 = V253918 - 1. assign V104717 = V507389 + 1. assign V669870 = V383882 + 1. assign V914878 = V409660 - 1. assign V872652 = V019519. assign V045867 = V005159 + 1. assign V340660 = V129234 - 1. assign V253017 = V856749 + 1. assign V550458 = V923060. assign V464374 = V931497 - 1. assign V937702 = V833382 - 1. assign V347688 = V107263. assign V322780 = V395807. assign V379944 = V592812 + 1. assign V124779 = V482684 - 1. assign V393151 = V591592 + 1. assign V110418 = V404756. assign V218985 = V928232 - 1. assign V296258 = V612977 + 1. assign V562888 = V615639 + 1. assign V005837 = V448207. assign V172491 = V365882. assign V365882 = V790699 - 1. assign V912250 = V526629 - 1. assign V232816 = V365882 - 1. assign V455439 = V526629. assign V959586 = V383882. assign V635048 = V365882. assign V066090 = V019519. assign V790699 = V833382 - 1. assign V387369 = V591592 - 1. assign V214112 = V499849 - 1. assign V162173 = V797780. assign V433602 = V106701 + 1. assign V968749 = V254883 - 1. assign V141751 = V479136. assign V444760 = V688019 - 1. assign V383882 = V835910 - 1. assign V985640 = V324995. assign V247462 = V688019 + 1. assign V629538 = V479136 + 1. assign V526629 = V300506 + 1. assign V216358 = V684307. assign V098895 = V789824 + 1. assign V615639 = V931497 + 1. assign V079750 = V807406 - 1. assign V071971 = V216358 - 1. assign V557870 = V526629. assign V591592 = V835910. assign V022579 = V608005. assign V862267 = V365882 - 1. assign V199750 = 6. assign V452805 = V684307. assign V942839 = V141751 + 1. assign V254652 = V987924. assign V185524 = V129234 - 1. assign V079001 = V129234. assign V384218 = V395807. assign V256770 = V383882. assign V886668 = V931497 - 1. assign V684307 = V383882 + 1. assign V006363 = V479136. assign V592812 = V395807 - 1. assign V238204 = V172491. assign V506794 = V129234. assign V760442 = V499849 - 1. assign V232076 = V415255. assign V254882 = V903143. assign V863573 = V835910 + 1. assign V582614 = V931497 + 1. assign V980549 = V073676 + 1. assign V624779 = V415255 + 1. assign V032541 = V486730 + 1. assign V301492 = V106701 - 1. assign V415255 = V629538. assign V793079 = V395807 + 1. assign V250546 = V393151 - 1. assign V479136 = V833382 - 1. assign V691843 = V022579 - 1. assign V562623 = V079750 + 1. assign V089852 = V760442. assign V370699 = V395807 - 1. assign V404756 = V351164 + 1. assign V554361 = V232816. assign V688019 = V141751 - 1. assign V903143 = V526629 + 1. assign V888737 = V104717 + 1. assign V881709 = V554361 + 1. assign V025770 = V695597. assign V496934 = V969186 + 1. assign V928232 = V667264. assign V807406 = V452805 - 1. assign V129234 = V833382 + 1. assign V005159 = V684307 + 1. assign V309921 = V980549. assign V448207 = V506794 + 1. assign V891412 = V602345 + 1. assign V880645 = V066090 - 1. assign V507389 = V862267. assign V624014 = V695597 + 1. assign V238696 = V479136 + 1. assign V940982 = V281458 - 1. assign V281458 = V225896. assign V969186 = V365882 - 1. assign V418070 = V891412. assign V620565 = V104717 - 1. assign V073701 = V526629 + 1. assign V800571 = V615639.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V718642 = V526629 + 1. assign V019519 = V395807. assign V556253 = V479136 + 1. assign V608005 = V238696. assign V783154 = V615639 + 1. assign V225896 = V629538 - 1. assign V556738 = V914878 + 1. assign V300506 = V238696 - 1. assign V797780 = V444760. assign V059208 = V238696 - 1. assign V394377 = V341927 + 1. assign V065205 = V833382. assign V107263 = V387369 + 1. assign V504010 = V073701 - 1. assign V615164 = V557870 - 1. assign V322146 = V584339 + 1. assign V395807 = V383882 - 1. assign V612977 = V225896 - 1. assign V923060 = V387369 - 1. assign V063367 = V980549 - 1. assign V931497 = V835910. assign V856749 = V300506 + 1. assign V264941 = V397849 + 1. assign V660968 = V397849. assign V141987 = V556253 - 1. assign V833382 = V959586 - 1. assign V573767 = V199750 + 1. assign V499849 = V141751 - 1. assign V404346 = V793079. assign V402970 = V946969. assign V584339 = V402970. assign V409660 = V300506 + 1. assign V106701 = V790699. assign V996447 = V592812. assign V596474 = V214112 + 1. assign V341927 = V079750 + 1. assign V402380 = V281458 - 1. assign V602345 = V760442. assign V789824 = V684307. assign V174640 = V066090. assign V987924 = V959586 - 1. assign V956538 = V797780 + 1. assign V397849 = V395807. assign V073676 = V479136 + 1. assign V131488 = V322780. assign V695597 = V506794. assign V338612 = V379944 + 1. assign V324995 = V063367 - 1. assign V369436 = V365882 - 1. assign V482684 = V931497. assign V956456 = V550458 - 1. assign V186524 = V218985 - 1. assign V263655 = V141751 + 1. assign V253918 = V931497. assign V254883 = V232816. assign V946969 = V005159 - 1. assign V562545 = V968749 - 1. assign V777880 = V059208. assign V667264 = V760442 - 1. assign V002508 = V365882 - 1. assign V684395 = V891412 + 1. assign V351164 = V415255 - 1. assign V109720 = V452805 + 1. assign V486730 = V608005. assign V730228 = V253918 - 1. assign V104717 = V507389 + 1. assign V669870 = V383882 + 1. assign V914878 = V409660 - 1. assign V872652 = V019519. assign V045867 = V005159 + 1. assign V340660 = V129234 - 1. assign V253017 = V856749 + 1. assign V550458 = V923060. assign V464374 = V931497 - 1. assign V937702 = V833382 - 1. assign V347688 = V107263. assign V322780 = V395807. assign V379944 = V592812 + 1. assign V124779 = V482684 - 1. assign V393151 = V591592 + 1. assign V110418 = V404756. assign V218985 = V928232 - 1. assign V296258 = V612977 + 1. assign V562888 = V615639 + 1. assign V005837 = V448207. assign V172491 = V365882. assign V365882 = V790699 - 1. assign V912250 = V526629 - 1. assign V232816 = V365882 - 1. assign V455439 = V526629. assign V959586 = V383882. assign V635048 = V365882. assign V066090 = V019519. assign V790699 = V833382 - 1. assign V387369 = V591592 - 1. assign V214112 = V499849 - 1. assign V162173 = V797780. assign V433602 = V106701 + 1. assign V968749 = V254883 - 1. assign V141751 = V479136. assign V444760 = V688019 - 1. assign V383882 = V835910 - 1. assign V985640 = V324995. assign V247462 = V688019 + 1. assign V629538 = V479136 + 1. assign V526629 = V300506 + 1. assign V216358 = V684307. assign V098895 = V789824 + 1. assign V615639 = V931497 + 1. assign V079750 = V807406 - 1. assign V071971 = V216358 - 1. assign V557870 = V526629. assign V591592 = V835910. assign V022579 = V608005. assign V862267 = V365882 - 1. assign V199750 = 6. assign V452805 = V684307. assign V942839 = V141751 + 1. assign V254652 = V987924. assign V185524 = V129234 - 1. assign V079001 = V129234. assign V384218 = V395807. assign V256770 = V383882. assign V886668 = V931497 - 1. assign V684307 = V383882 + 1. assign V006363 = V479136. assign V592812 = V395807 - 1. assign V238204 = V172491. assign V506794 = V129234. assign V760442 = V499849 - 1. assign V232076 = V415255. assign V254882 = V903143. assign V863573 = V835910 + 1. assign V582614 = V931497 + 1. assign V980549 = V073676 + 1. assign V624779 = V415255 + 1. assign V032541 = V486730 + 1. assign V301492 = V106701 - 1. assign V415255 = V629538. assign V793079 = V395807 + 1. assign V250546 = V393151 - 1. assign V479136 = V833382 - 1. assign V691843 = V022579 - 1. assign V562623 = V079750 + 1. assign V089852 = V760442. assign V370699 = V395807 - 1. assign V404756 = V351164 + 1. assign V554361 = V232816. assign V688019 = V141751 - 1. assign V903143 = V526629 + 1. assign V888737 = V104717 + 1. assign V881709 = V554361 + 1. assign V025770 = V695597. assign V496934 = V969186 + 1. assign V928232 = V667264. assign V807406 = V452805 - 1. assign V129234 = V833382 + 1. assign V005159 = V684307 + 1. assign V309921 = V980549. assign V448207 = V506794 + 1. assign V891412 = V602345 + 1. assign V880645 = V066090 - 1. assign V507389 = V862267. assign V624014 = V695597 + 1. assign V238696 = V479136 + 1. assign V940982 = V281458 - 1. assign V281458 = V225896. assign V969186 = V365882 - 1. assign V418070 = V891412. assign V620565 = V104717 - 1. assign V073701 = V526629 + 1. assign V800571 = V615639.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV199750 = 6;\n\nFrom these direct assignment(s), we have: \nV573767 = V199750 + 1 = 6 + 1 =7;\nNo other variables can be derived from V573767;\nNo other variables can be derived from V199750;\n\nNow we have done all the calculations. Derived variables are:\nV199750 = 6;\nV573767 = 7;\n\nNow we have finished this problem. ANSWER:\nV199750\n", "role": "assistant" } ]

[ "V392804" ]

[ { "content": "<context>\nassign V496264 = V674902 - 1. assign V304110 = V122706. assign V671193 = V496264 - 1. assign V089193 = V207948. assign V484054 = V523736. assign V808485 = V143405 - 1. assign V326574 = V212836 - 1. assign V533599 = V667104. assign V713011 = V986710 + 1. assign V392804 = 2. assign V418680 = V753283 + 1. assign V927329 = V179579 + 1. assign V406166 = V775687 - 1. assign V965550 = V560742 - 1. assign V886375 = V661572. assign V936520 = V617263 + 1. assign V446797 = V237609. assign V700756 = V462833. assign V693995 = V886375 - 1. assign V383957 = V496264 - 1. assign V834089 = V661572 + 1. assign V322299 = V446901 - 1. assign V825361 = V713762. assign V207948 = V661572. assign V832355 = V865946. assign V280857 = V467217. assign V834169 = V965199 - 1. assign V294718 = V094114. assign V708818 = V462833 - 1. assign V143405 = V530376 - 1. assign V661572 = V713762 + 1. assign V230395 = V667104 - 1. assign V686661 = V915909. assign V831859 = V222788 + 1. assign V709361 = V582563. assign V633105 = V713762. assign V730389 = V936520 + 1. assign V508677 = V383957. assign V425807 = V222788. assign V110967 = V411688 + 1. assign V986710 = V137606. assign V641462 = V832355 - 1. assign V685587 = V563304 + 1. assign V267354 = V008172 - 1. assign V610681 = V041271. assign V629157 = V986710 - 1. assign V237609 = V713011. assign V582563 = V825361. assign V623352 = V808485 + 1. assign V674902 = V326786. assign V965199 = V648970 + 1. assign V148827 = V523736 - 1. assign V324565 = V094114 + 1. assign V774474 = V345733. assign V160687 = V667104. assign V617263 = V886375 + 1. assign V008172 = V825361 - 1. assign V732567 = V995808 - 1. assign V137606 = V094114. assign V986877 = V986710. assign V265332 = V986710 - 1. assign V345733 = V825361. assign V238499 = V143365. assign V902348 = V338023 + 1. assign V394363 = V089193 + 1. assign V733756 = V629157 - 1. assign V253030 = V713762. assign V536668 = V523736. assign V914868 = V986877 + 1. assign V446901 = V946973. assign V911236 = V671193. assign V647010 = V383957 - 1. assign V435881 = V586160 + 1. assign V108666 = V671193 + 1. assign V865946 = V137606 + 1. assign V275057 = V825361. assign V179579 = V008172. assign V591499 = V713011 + 1. assign V555474 = V752249. assign V201828 = V986710 + 1. assign V351733 = V530376. assign V942428 = V693995. assign V293962 = V579752 + 1. assign V206784 = V326574 + 1. assign V560742 = V893727. assign V775687 = V986877. assign V651840 = V110967 - 1. assign V212836 = V179579 + 1. assign V390424 = V733756 - 1. assign V893727 = V825361 - 1. assign V915909 = V530376 + 1. assign V640715 = V671193 + 1. assign V613957 = V207948 + 1. assign V467217 = V669821. assign V752249 = V647010. assign V462833 = V893727. assign V530376 = V946973. assign V799135 = V733756 - 1. assign V719749 = V212836 - 1. assign V896477 = V936520 - 1. assign V621531 = V137606 + 1. assign V411688 = V865946 + 1. assign V614050 = V770795 - 1. assign V995808 = V661572 - 1. assign V648970 = V825361 + 1. assign V767292 = V326786 + 1. assign V714832 = V946973. assign V946973 = V886375 - 1. assign V586160 = V886375 + 1. assign V625137 = V837686 + 1. assign V113666 = V708818 - 1. assign V122706 = V446797 - 1. assign V041271 = V965199. assign V837686 = V345733. assign V800843 = V212836 - 1. assign V189160 = V041271 - 1. assign V734148 = V179579 - 1. assign V124350 = V617263. assign V105545 = V137606. assign V753283 = V041271 + 1. assign V629475 = V324565. assign V143365 = V530376 + 1. assign V579752 = V886375 + 1. assign V718423 = V152672. assign V740897 = V392804 - 1. assign V007897 = V406166. assign V094114 = V825361 - 1. assign V143761 = V446797 + 1. assign V563304 = V008172 + 1. assign V948355 = V467217 - 1. assign V389423 = V831859. assign V704113 = V799135 + 1. assign V649871 = V647010 + 1. assign V939059 = V508677 + 1. assign V488165 = V834169. assign V006262 = V669821 + 1. assign V652683 = V713011. assign V947839 = V946973 - 1. assign V393378 = V446797 + 1. assign V015698 = V345733 + 1. assign V523736 = V617263 - 1. assign V565284 = V207948 + 1. assign V246245 = V113510. assign V326786 = V582563 - 1. assign V222788 = V267772 - 1. assign V926355 = V986710. assign V962341 = V733756. assign V837320 = V986710 - 1. assign V663313 = V467217 + 1. assign V326904 = V692597 - 1. assign V488354 = V633105 - 1. assign V431342 = V207948 - 1. assign V669821 = V825361 + 1. assign V770795 = V484054 - 1. assign V533531 = V026604. assign V692597 = V467217. assign V019830 = V015698 + 1. assign V022441 = V633105 + 1. assign V656028 = V324565. assign V152672 = V113510 - 1. assign V338023 = V411688. assign V716541 = V152672 + 1. assign V386688 = V648970 - 1. assign V778283 = V026604 + 1. assign V268027 = V778283 - 1. assign V652230 = V926355. assign V026604 = V947839 - 1. assign V267772 = V825361. assign V914927 = V697724 + 1. assign V697724 = V324565 + 1. assign V667104 = V124350 + 1. assign V113510 = V089193 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V496264 = V674902 - 1. assign V304110 = V122706. assign V671193 = V496264 - 1. assign V089193 = V207948. assign V484054 = V523736. assign V808485 = V143405 - 1. assign V326574 = V212836 - 1. assign V533599 = V667104. assign V713011 = V986710 + 1. assign V392804 = 2. assign V418680 = V753283 + 1. assign V927329 = V179579 + 1. assign V406166 = V775687 - 1. assign V965550 = V560742 - 1. assign V886375 = V661572. assign V936520 = V617263 + 1. assign V446797 = V237609. assign V700756 = V462833. assign V693995 = V886375 - 1. assign V383957 = V496264 - 1. assign V834089 = V661572 + 1. assign V322299 = V446901 - 1. assign V825361 = V713762. assign V207948 = V661572. assign V832355 = V865946. assign V280857 = V467217. assign V834169 = V965199 - 1. assign V294718 = V094114. assign V708818 = V462833 - 1. assign V143405 = V530376 - 1. assign V661572 = V713762 + 1. assign V230395 = V667104 - 1. assign V686661 = V915909. assign V831859 = V222788 + 1. assign V709361 = V582563. assign V633105 = V713762. assign V730389 = V936520 + 1. assign V508677 = V383957. assign V425807 = V222788. assign V110967 = V411688 + 1. assign V986710 = V137606. assign V641462 = V832355 - 1. assign V685587 = V563304 + 1. assign V267354 = V008172 - 1. assign V610681 = V041271. assign V629157 = V986710 - 1. assign V237609 = V713011. assign V582563 = V825361. assign V623352 = V808485 + 1. assign V674902 = V326786. assign V965199 = V648970 + 1. assign V148827 = V523736 - 1. assign V324565 = V094114 + 1. assign V774474 = V345733. assign V160687 = V667104. assign V617263 = V886375 + 1. assign V008172 = V825361 - 1. assign V732567 = V995808 - 1. assign V137606 = V094114. assign V986877 = V986710. assign V265332 = V986710 - 1. assign V345733 = V825361. assign V238499 = V143365. assign V902348 = V338023 + 1. assign V394363 = V089193 + 1. assign V733756 = V629157 - 1. assign V253030 = V713762. assign V536668 = V523736. assign V914868 = V986877 + 1. assign V446901 = V946973. assign V911236 = V671193. assign V647010 = V383957 - 1. assign V435881 = V586160 + 1. assign V108666 = V671193 + 1. assign V865946 = V137606 + 1. assign V275057 = V825361. assign V179579 = V008172. assign V591499 = V713011 + 1. assign V555474 = V752249. assign V201828 = V986710 + 1. assign V351733 = V530376. assign V942428 = V693995. assign V293962 = V579752 + 1. assign V206784 = V326574 + 1. assign V560742 = V893727. assign V775687 = V986877. assign V651840 = V110967 - 1. assign V212836 = V179579 + 1. assign V390424 = V733756 - 1. assign V893727 = V825361 - 1. assign V915909 = V530376 + 1. assign V640715 = V671193 + 1. assign V613957 = V207948 + 1. assign V467217 = V669821. assign V752249 = V647010. assign V462833 = V893727. assign V530376 = V946973. assign V799135 = V733756 - 1. assign V719749 = V212836 - 1. assign V896477 = V936520 - 1. assign V621531 = V137606 + 1. assign V411688 = V865946 + 1. assign V614050 = V770795 - 1. assign V995808 = V661572 - 1. assign V648970 = V825361 + 1. assign V767292 = V326786 + 1. assign V714832 = V946973. assign V946973 = V886375 - 1. assign V586160 = V886375 + 1. assign V625137 = V837686 + 1. assign V113666 = V708818 - 1. assign V122706 = V446797 - 1. assign V041271 = V965199. assign V837686 = V345733. assign V800843 = V212836 - 1. assign V189160 = V041271 - 1. assign V734148 = V179579 - 1. assign V124350 = V617263. assign V105545 = V137606. assign V753283 = V041271 + 1. assign V629475 = V324565. assign V143365 = V530376 + 1. assign V579752 = V886375 + 1. assign V718423 = V152672. assign V740897 = V392804 - 1. assign V007897 = V406166. assign V094114 = V825361 - 1. assign V143761 = V446797 + 1. assign V563304 = V008172 + 1. assign V948355 = V467217 - 1. assign V389423 = V831859. assign V704113 = V799135 + 1. assign V649871 = V647010 + 1. assign V939059 = V508677 + 1. assign V488165 = V834169. assign V006262 = V669821 + 1. assign V652683 = V713011. assign V947839 = V946973 - 1. assign V393378 = V446797 + 1. assign V015698 = V345733 + 1. assign V523736 = V617263 - 1. assign V565284 = V207948 + 1. assign V246245 = V113510. assign V326786 = V582563 - 1. assign V222788 = V267772 - 1. assign V926355 = V986710. assign V962341 = V733756. assign V837320 = V986710 - 1. assign V663313 = V467217 + 1. assign V326904 = V692597 - 1. assign V488354 = V633105 - 1. assign V431342 = V207948 - 1. assign V669821 = V825361 + 1. assign V770795 = V484054 - 1. assign V533531 = V026604. assign V692597 = V467217. assign V019830 = V015698 + 1. assign V022441 = V633105 + 1. assign V656028 = V324565. assign V152672 = V113510 - 1. assign V338023 = V411688. assign V716541 = V152672 + 1. assign V386688 = V648970 - 1. assign V778283 = V026604 + 1. assign V268027 = V778283 - 1. assign V652230 = V926355. assign V026604 = V947839 - 1. assign V267772 = V825361. assign V914927 = V697724 + 1. assign V697724 = V324565 + 1. assign V667104 = V124350 + 1. assign V113510 = V089193 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV392804 = 2;\n\nFrom these direct assignment(s), we have: \nV740897 = V392804 - 1 = 2 - 1 =1;\nNo other variables can be derived from V740897;\nNo other variables can be derived from V392804;\n\nNow we have done all the calculations. Derived variables are:\nV392804 = 2;\nV740897 = 1;\n\nNow we have finished this problem. ANSWER:\nV392804\n", "role": "assistant" } ]