Datasets:

---

suehyunpark

/

gsm_infinite_symbolic_2k

like 0

[ "V880464" ]

[ { "content": "<context>\nassign V160107 = V724127. assign V486473 = V123026 - 1. assign V142410 = V594073 - 1. assign V555425 = V813880 + 1. assign V464145 = V054664 - 1. assign V025642 = V448901 - 1. assign V923012 = V171399 + 1. assign V521540 = V571279 - 1. assign V192793 = V813880. assign V372080 = V466404. assign V806536 = V217558 + 1. assign V352142 = V832012 - 1. assign V264312 = V323119 + 1. assign V923461 = V764023. assign V421433 = V012231 + 1. assign V086076 = V086680 - 1. assign V371469 = V016904 - 1. assign V563125 = V156078 - 1. assign V434766 = V646678 - 1. assign V761223 = V224657 - 1. assign V123026 = V054664 + 1. assign V078176 = V762450. assign V531653 = V532792 - 1. assign V749298 = V829618 + 1. assign V914101 = V658223 + 1. assign V001702 = V652482 + 1. assign V068234 = V429326. assign V867493 = V447898 - 1. assign V159483 = V195622. assign V447898 = V177724 - 1. assign V559779 = V761223 + 1. assign V732425 = V172135. assign V600607 = V054664 - 1. assign V017449 = V584927 - 1. assign V764023 = V217558 - 1. assign V762450 = V347145. assign V611143 = V421433 - 1. assign V288604 = V098582. assign V570705 = V177724 - 1. assign V618700 = V806536 - 1. assign V199627 = V466404 - 1. assign V980561 = V706441 + 1. assign V660451 = V880464 - 1. assign V037778 = V796485 - 1. assign V880464 = 10. assign V054664 = V813880 - 1. assign V078340 = V907887 + 1. assign V513456 = V429326 + 1. assign V571279 = V027235 - 1. assign V525030 = V612804 + 1. assign V757325 = V054664 - 1. assign V938834 = V186937 + 1. assign V724127 = V086680 - 1. assign V027235 = V192793. assign V051806 = V806536 - 1. assign V908646 = V211109. assign V396228 = V622379. assign V237411 = V727905 - 1. assign V060016 = V080569 + 1. assign V646678 = V347145 - 1. assign V217558 = V714702 - 1. assign V367061 = V447898. assign V467817 = V347145. assign V735848 = V513456 + 1. assign V842526 = V923461 + 1. assign V690481 = V886054 + 1. assign V532189 = V813880. assign V337769 = V041062. assign V172135 = V806536 - 1. assign V327164 = V123026 + 1. assign V924491 = V923461 + 1. assign V268809 = V211109 - 1. assign V681109 = V068234. assign V697273 = V315209. assign V813047 = V894606. assign V594073 = V337769 - 1. assign V328581 = V724127 + 1. assign V097388 = V192793 + 1. assign V195622 = V867493 + 1. assign V969408 = V080569 - 1. assign V415020 = V969408 + 1. assign V473928 = V172135 + 1. assign V211109 = V054664 - 1. assign V469188 = V532792 - 1. assign V225524 = V337769 + 1. assign V080569 = V724127 - 1. assign V798469 = V829618 + 1. assign V429326 = V625768. assign V289632 = V532792. assign V171399 = V706441 - 1. assign V584927 = V612804 + 1. assign V207768 = V486473 + 1. assign V041062 = V565787. assign V886054 = V779022 + 1. assign V156078 = V289632 - 1. assign V532792 = V192793 + 1. assign V111797 = V171399 - 1. assign V691832 = V237411. assign V506265 = V374477 + 1. assign V882426 = V404664. assign V374477 = V448901 - 1. assign V327217 = V718752. assign V236706 = V186937. assign V323119 = V098582. assign V727905 = V532792 + 1. assign V608226 = V532792 + 1. assign V340740 = V469188 + 1. assign V224657 = V464145 + 1. assign V828550 = V448901 - 1. assign V323320 = V016904 + 1. assign V612388 = V798469 - 1. assign V775817 = V527821 + 1. assign V177724 = V466404 + 1. assign V907887 = V908646 + 1. assign V687128 = V027235. assign V832012 = V237411 - 1. assign V636061 = V025642. assign V274214 = V080569 + 1. assign V448131 = V417719 + 1. assign V781435 = V186937 - 1. assign V010374 = V051806. assign V309981 = V195622 - 1. assign V622379 = V467817 - 1. assign V170629 = V123026 - 1. assign V977562 = V465934 - 1. assign V413612 = V764023 - 1. assign V813880 = V724127 + 1. assign V342701 = V829618 + 1. assign V380669 = V762450 - 1. assign V031216 = V123026 - 1. assign V554078 = V969408 + 1. assign V465934 = V323320. assign V773359 = V417719. assign V875408 = V177724 - 1. assign V466404 = V041062. assign V047507 = V027235. assign V580535 = V914101 - 1. assign V658223 = V894606 + 1. assign V612804 = V531653 + 1. assign V186937 = V086680. assign V315209 = V969408 - 1. assign V273792 = V051806 - 1. assign V012231 = V565787 + 1. assign V829618 = V554078 + 1. assign V110299 = V882426 + 1. assign V551626 = V646678. assign V347145 = V160107. assign V625768 = V041062. assign V820775 = V525030 - 1. assign V779022 = V080569 - 1. assign V098582 = V894606 - 1. assign V667545 = V914101 + 1. assign V706441 = V186937 - 1. assign V272203 = V697273 - 1. assign V448901 = V086680. assign V796485 = V464145 - 1. assign V718752 = V224657 - 1. assign V337422 = V025642 - 1. assign V565787 = V080569 + 1. assign V404664 = V217558 + 1. assign V285824 = V171399 - 1. assign V291665 = V273792 + 1. assign V894606 = V041062 - 1. assign V815850 = V273792 - 1. assign V714702 = V347145 - 1. assign V016904 = V600607 - 1. assign V196241 = V448901 + 1. assign V652482 = V806536 + 1. assign V527821 = V796485. assign V717478 = V123026. assign V417719 = V199627. assign V996018 = V225524 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V160107 = V724127. assign V486473 = V123026 - 1. assign V142410 = V594073 - 1. assign V555425 = V813880 + 1. assign V464145 = V054664 - 1. assign V025642 = V448901 - 1. assign V923012 = V171399 + 1. assign V521540 = V571279 - 1. assign V192793 = V813880. assign V372080 = V466404. assign V806536 = V217558 + 1. assign V352142 = V832012 - 1. assign V264312 = V323119 + 1. assign V923461 = V764023. assign V421433 = V012231 + 1. assign V086076 = V086680 - 1. assign V371469 = V016904 - 1. assign V563125 = V156078 - 1. assign V434766 = V646678 - 1. assign V761223 = V224657 - 1. assign V123026 = V054664 + 1. assign V078176 = V762450. assign V531653 = V532792 - 1. assign V749298 = V829618 + 1. assign V914101 = V658223 + 1. assign V001702 = V652482 + 1. assign V068234 = V429326. assign V867493 = V447898 - 1. assign V159483 = V195622. assign V447898 = V177724 - 1. assign V559779 = V761223 + 1. assign V732425 = V172135. assign V600607 = V054664 - 1. assign V017449 = V584927 - 1. assign V764023 = V217558 - 1. assign V762450 = V347145. assign V611143 = V421433 - 1. assign V288604 = V098582. assign V570705 = V177724 - 1. assign V618700 = V806536 - 1. assign V199627 = V466404 - 1. assign V980561 = V706441 + 1. assign V660451 = V880464 - 1. assign V037778 = V796485 - 1. assign V880464 = 10. assign V054664 = V813880 - 1. assign V078340 = V907887 + 1. assign V513456 = V429326 + 1. assign V571279 = V027235 - 1. assign V525030 = V612804 + 1. assign V757325 = V054664 - 1. assign V938834 = V186937 + 1. assign V724127 = V086680 - 1. assign V027235 = V192793. assign V051806 = V806536 - 1. assign V908646 = V211109. assign V396228 = V622379. assign V237411 = V727905 - 1. assign V060016 = V080569 + 1. assign V646678 = V347145 - 1. assign V217558 = V714702 - 1. assign V367061 = V447898. assign V467817 = V347145. assign V735848 = V513456 + 1. assign V842526 = V923461 + 1. assign V690481 = V886054 + 1. assign V532189 = V813880. assign V337769 = V041062. assign V172135 = V806536 - 1. assign V327164 = V123026 + 1. assign V924491 = V923461 + 1. assign V268809 = V211109 - 1. assign V681109 = V068234. assign V697273 = V315209. assign V813047 = V894606. assign V594073 = V337769 - 1. assign V328581 = V724127 + 1. assign V097388 = V192793 + 1. assign V195622 = V867493 + 1. assign V969408 = V080569 - 1. assign V415020 = V969408 + 1. assign V473928 = V172135 + 1. assign V211109 = V054664 - 1. assign V469188 = V532792 - 1. assign V225524 = V337769 + 1. assign V080569 = V724127 - 1. assign V798469 = V829618 + 1. assign V429326 = V625768. assign V289632 = V532792. assign V171399 = V706441 - 1. assign V584927 = V612804 + 1. assign V207768 = V486473 + 1. assign V041062 = V565787. assign V886054 = V779022 + 1. assign V156078 = V289632 - 1. assign V532792 = V192793 + 1. assign V111797 = V171399 - 1. assign V691832 = V237411. assign V506265 = V374477 + 1. assign V882426 = V404664. assign V374477 = V448901 - 1. assign V327217 = V718752. assign V236706 = V186937. assign V323119 = V098582. assign V727905 = V532792 + 1. assign V608226 = V532792 + 1. assign V340740 = V469188 + 1. assign V224657 = V464145 + 1. assign V828550 = V448901 - 1. assign V323320 = V016904 + 1. assign V612388 = V798469 - 1. assign V775817 = V527821 + 1. assign V177724 = V466404 + 1. assign V907887 = V908646 + 1. assign V687128 = V027235. assign V832012 = V237411 - 1. assign V636061 = V025642. assign V274214 = V080569 + 1. assign V448131 = V417719 + 1. assign V781435 = V186937 - 1. assign V010374 = V051806. assign V309981 = V195622 - 1. assign V622379 = V467817 - 1. assign V170629 = V123026 - 1. assign V977562 = V465934 - 1. assign V413612 = V764023 - 1. assign V813880 = V724127 + 1. assign V342701 = V829618 + 1. assign V380669 = V762450 - 1. assign V031216 = V123026 - 1. assign V554078 = V969408 + 1. assign V465934 = V323320. assign V773359 = V417719. assign V875408 = V177724 - 1. assign V466404 = V041062. assign V047507 = V027235. assign V580535 = V914101 - 1. assign V658223 = V894606 + 1. assign V612804 = V531653 + 1. assign V186937 = V086680. assign V315209 = V969408 - 1. assign V273792 = V051806 - 1. assign V012231 = V565787 + 1. assign V829618 = V554078 + 1. assign V110299 = V882426 + 1. assign V551626 = V646678. assign V347145 = V160107. assign V625768 = V041062. assign V820775 = V525030 - 1. assign V779022 = V080569 - 1. assign V098582 = V894606 - 1. assign V667545 = V914101 + 1. assign V706441 = V186937 - 1. assign V272203 = V697273 - 1. assign V448901 = V086680. assign V796485 = V464145 - 1. assign V718752 = V224657 - 1. assign V337422 = V025642 - 1. assign V565787 = V080569 + 1. assign V404664 = V217558 + 1. assign V285824 = V171399 - 1. assign V291665 = V273792 + 1. assign V894606 = V041062 - 1. assign V815850 = V273792 - 1. assign V714702 = V347145 - 1. assign V016904 = V600607 - 1. assign V196241 = V448901 + 1. assign V652482 = V806536 + 1. assign V527821 = V796485. assign V717478 = V123026. assign V417719 = V199627. assign V996018 = V225524 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV880464 = 10;\n\nFrom these direct assignment(s), we have: \nV660451 = V880464 - 1 = 10 - 1 =9;\nNo other variables can be derived from V660451;\nNo other variables can be derived from V880464;\n\nNow we have done all the calculations. Derived variables are:\nV880464 = 10;\nV660451 = 9;\n\nNow we have finished this problem. ANSWER:\nV880464\n", "role": "assistant" } ]

[ "V090877" ]

[ { "content": "<context>\nassign V668016 = V033395 + 1. assign V025520 = V323379 + 1. assign V499375 = V643913 + 1. assign V933102 = V159397. assign V092111 = V499375. assign V774836 = V295385 - 1. assign V486520 = V938693 - 1. assign V443256 = V021752 - 1. assign V394387 = V413011. assign V352524 = V540505 + 1. assign V089985 = V033395 + 1. assign V512038 = V066328 + 1. assign V587194 = V295385 + 1. assign V522423 = V093783. assign V702590 = V869553. assign V567080 = V886456. assign V981615 = V968720 + 1. assign V300171 = V643913. assign V562714 = V159397 - 1. assign V323379 = V968720 - 1. assign V307024 = V021752 - 1. assign V076816 = V101039 + 1. assign V052394 = V668016. assign V492013 = V042980 - 1. assign V222266 = V540505. assign V052587 = V052394 + 1. assign V778964 = V562714. assign V274472 = V029541. assign V443688 = V778964 + 1. assign V599865 = V820229 + 1. assign V593150 = V960842. assign V987090 = V747078 + 1. assign V050760 = V093783. assign V747078 = V613289 - 1. assign V931340 = V207323 - 1. assign V192583 = V420673. assign V261306 = V578448 + 1. assign V735768 = V931451 - 1. assign V778586 = V392254 + 1. assign V690286 = V743664 - 1. assign V042980 = V709312. assign V820229 = V089985 - 1. assign V436754 = V411981. assign V364985 = V052587 + 1. assign V931451 = V089985. assign V866087 = V311117 + 1. assign V531285 = V420673. assign V709312 = V938693 - 1. assign V191890 = V502690 + 1. assign V475296 = V938693 + 1. assign V362576 = V437387. assign V540505 = V523067. assign V776833 = V279490 - 1. assign V595339 = V392254 + 1. assign V441540 = V033395. assign V742189 = V394387. assign V207323 = V443289. assign V196006 = V523067 + 1. assign V673877 = V413011 + 1. assign V882498 = V698552 - 1. assign V029541 = V499375 - 1. assign V960842 = V295385. assign V424776 = V838197 + 1. assign V329133 = V981615. assign V576692 = V709293 - 1. assign V292227 = V052394 - 1. assign V275822 = V595339 + 1. assign V968720 = V938693. assign V123930 = V540505 + 1. assign V809295 = V820229 + 1. assign V018165 = V033395 + 1. assign V772419 = V747078. assign V643913 = V777445. assign V247384 = V279490 + 1. assign V004874 = V437387 + 1. assign V370236 = V295385. assign V838197 = V033395 + 1. assign V709293 = V710680. assign V896648 = V850629. assign V924284 = V788082 - 1. assign V777445 = V486520 + 1. assign V392254 = V486520. assign V763543 = V123930 - 1. assign V523067 = V938693 - 1. assign V887627 = V728194 + 1. assign V143686 = V261306 - 1. assign V850629 = V033395 - 1. assign V974624 = V321258 - 1. assign V062405 = V090877 + 1. assign V295385 = V709312. assign V066328 = V420673 - 1. assign V388140 = V199083. assign V465680 = V709312 - 1. assign V049927 = V465680. assign V143617 = V833987 + 1. assign V886456 = V778964 - 1. assign V065181 = V347565 + 1. assign V347565 = V668016. assign V055592 = V562714 - 1. assign V273726 = V778964 - 1. assign V609651 = V486520 + 1. assign V185252 = V838197 - 1. assign V739646 = V018165. assign V698552 = V562714 + 1. assign V861231 = V764092 + 1. assign V613289 = V523067 - 1. assign V869553 = V392254 + 1. assign V023828 = V050760 + 1. assign V723858 = V778964 + 1. assign V219981 = V820229 - 1. assign V663042 = V866087 - 1. assign V411981 = V486520 + 1. assign V789886 = V809295 - 1. assign V370172 = V861231 + 1. assign V268770 = V609651 - 1. assign V337561 = V931451 + 1. assign V413011 = V420673. assign V532892 = V199083. assign V220613 = V857373 - 1. assign V999074 = V404536 + 1. assign V420673 = V486520 - 1. assign V033395 = V938693. assign V021752 = V166257 - 1. assign V321258 = V443289. assign V764092 = V578448 + 1. assign V093783 = V540505. assign V359867 = V212173 - 1. assign V448167 = V710680. assign V279490 = V123930. assign V029290 = V300171. assign V212173 = V323379 + 1. assign V159397 = V938693 - 1. assign V652499 = V933102 - 1. assign V906402 = V828673 + 1. assign V263665 = V018165 - 1. assign V437387 = V481023 - 1. assign V502690 = V968720 + 1. assign V765421 = V522423. assign V953658 = V066328 - 1. assign V828673 = V643913 - 1. assign V578448 = V411981 - 1. assign V166469 = V261306. assign V199083 = V089985. assign V833987 = V778964 + 1. assign V970970 = V337423 - 1. assign V101039 = V774836 - 1. assign V772403 = V411981 - 1. assign V857373 = V698552 - 1. assign V260561 = V191890. assign V283714 = V052394 + 1. assign V337423 = V838197 - 1. assign V788082 = V578448 + 1. assign V481023 = V486520 + 1. assign V993403 = V486520. assign V166257 = V093783 - 1. assign V311117 = V540505 + 1. assign V895868 = V828673 - 1. assign V284720 = V788082. assign V090877 = 10. assign V875522 = V561650 - 1. assign V404536 = V777445 - 1. assign V728194 = V613289 + 1. assign V096365 = V833987. assign V561650 = V042980 + 1. assign V102359 = V896648 + 1. assign V722042 = V739646 - 1. assign V443289 = V833987. assign V743664 = V523067. assign V710680 = V643913 - 1. assign V435586 = V772419 + 1. assign V141792 = V370236 + 1. assign V562223 = V777445 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V668016 = V033395 + 1. assign V025520 = V323379 + 1. assign V499375 = V643913 + 1. assign V933102 = V159397. assign V092111 = V499375. assign V774836 = V295385 - 1. assign V486520 = V938693 - 1. assign V443256 = V021752 - 1. assign V394387 = V413011. assign V352524 = V540505 + 1. assign V089985 = V033395 + 1. assign V512038 = V066328 + 1. assign V587194 = V295385 + 1. assign V522423 = V093783. assign V702590 = V869553. assign V567080 = V886456. assign V981615 = V968720 + 1. assign V300171 = V643913. assign V562714 = V159397 - 1. assign V323379 = V968720 - 1. assign V307024 = V021752 - 1. assign V076816 = V101039 + 1. assign V052394 = V668016. assign V492013 = V042980 - 1. assign V222266 = V540505. assign V052587 = V052394 + 1. assign V778964 = V562714. assign V274472 = V029541. assign V443688 = V778964 + 1. assign V599865 = V820229 + 1. assign V593150 = V960842. assign V987090 = V747078 + 1. assign V050760 = V093783. assign V747078 = V613289 - 1. assign V931340 = V207323 - 1. assign V192583 = V420673. assign V261306 = V578448 + 1. assign V735768 = V931451 - 1. assign V778586 = V392254 + 1. assign V690286 = V743664 - 1. assign V042980 = V709312. assign V820229 = V089985 - 1. assign V436754 = V411981. assign V364985 = V052587 + 1. assign V931451 = V089985. assign V866087 = V311117 + 1. assign V531285 = V420673. assign V709312 = V938693 - 1. assign V191890 = V502690 + 1. assign V475296 = V938693 + 1. assign V362576 = V437387. assign V540505 = V523067. assign V776833 = V279490 - 1. assign V595339 = V392254 + 1. assign V441540 = V033395. assign V742189 = V394387. assign V207323 = V443289. assign V196006 = V523067 + 1. assign V673877 = V413011 + 1. assign V882498 = V698552 - 1. assign V029541 = V499375 - 1. assign V960842 = V295385. assign V424776 = V838197 + 1. assign V329133 = V981615. assign V576692 = V709293 - 1. assign V292227 = V052394 - 1. assign V275822 = V595339 + 1. assign V968720 = V938693. assign V123930 = V540505 + 1. assign V809295 = V820229 + 1. assign V018165 = V033395 + 1. assign V772419 = V747078. assign V643913 = V777445. assign V247384 = V279490 + 1. assign V004874 = V437387 + 1. assign V370236 = V295385. assign V838197 = V033395 + 1. assign V709293 = V710680. assign V896648 = V850629. assign V924284 = V788082 - 1. assign V777445 = V486520 + 1. assign V392254 = V486520. assign V763543 = V123930 - 1. assign V523067 = V938693 - 1. assign V887627 = V728194 + 1. assign V143686 = V261306 - 1. assign V850629 = V033395 - 1. assign V974624 = V321258 - 1. assign V062405 = V090877 + 1. assign V295385 = V709312. assign V066328 = V420673 - 1. assign V388140 = V199083. assign V465680 = V709312 - 1. assign V049927 = V465680. assign V143617 = V833987 + 1. assign V886456 = V778964 - 1. assign V065181 = V347565 + 1. assign V347565 = V668016. assign V055592 = V562714 - 1. assign V273726 = V778964 - 1. assign V609651 = V486520 + 1. assign V185252 = V838197 - 1. assign V739646 = V018165. assign V698552 = V562714 + 1. assign V861231 = V764092 + 1. assign V613289 = V523067 - 1. assign V869553 = V392254 + 1. assign V023828 = V050760 + 1. assign V723858 = V778964 + 1. assign V219981 = V820229 - 1. assign V663042 = V866087 - 1. assign V411981 = V486520 + 1. assign V789886 = V809295 - 1. assign V370172 = V861231 + 1. assign V268770 = V609651 - 1. assign V337561 = V931451 + 1. assign V413011 = V420673. assign V532892 = V199083. assign V220613 = V857373 - 1. assign V999074 = V404536 + 1. assign V420673 = V486520 - 1. assign V033395 = V938693. assign V021752 = V166257 - 1. assign V321258 = V443289. assign V764092 = V578448 + 1. assign V093783 = V540505. assign V359867 = V212173 - 1. assign V448167 = V710680. assign V279490 = V123930. assign V029290 = V300171. assign V212173 = V323379 + 1. assign V159397 = V938693 - 1. assign V652499 = V933102 - 1. assign V906402 = V828673 + 1. assign V263665 = V018165 - 1. assign V437387 = V481023 - 1. assign V502690 = V968720 + 1. assign V765421 = V522423. assign V953658 = V066328 - 1. assign V828673 = V643913 - 1. assign V578448 = V411981 - 1. assign V166469 = V261306. assign V199083 = V089985. assign V833987 = V778964 + 1. assign V970970 = V337423 - 1. assign V101039 = V774836 - 1. assign V772403 = V411981 - 1. assign V857373 = V698552 - 1. assign V260561 = V191890. assign V283714 = V052394 + 1. assign V337423 = V838197 - 1. assign V788082 = V578448 + 1. assign V481023 = V486520 + 1. assign V993403 = V486520. assign V166257 = V093783 - 1. assign V311117 = V540505 + 1. assign V895868 = V828673 - 1. assign V284720 = V788082. assign V090877 = 10. assign V875522 = V561650 - 1. assign V404536 = V777445 - 1. assign V728194 = V613289 + 1. assign V096365 = V833987. assign V561650 = V042980 + 1. assign V102359 = V896648 + 1. assign V722042 = V739646 - 1. assign V443289 = V833987. assign V743664 = V523067. assign V710680 = V643913 - 1. assign V435586 = V772419 + 1. assign V141792 = V370236 + 1. assign V562223 = V777445 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV090877 = 10;\n\nFrom these direct assignment(s), we have: \nV062405 = V090877 + 1 = 10 + 1 =11;\nNo other variables can be derived from V062405;\nNo other variables can be derived from V090877;\n\nNow we have done all the calculations. Derived variables are:\nV090877 = 10;\nV062405 = 11;\n\nNow we have finished this problem. ANSWER:\nV090877\n", "role": "assistant" } ]

[ "V729682", "V134379" ]

[ { "content": "<context>\nassign V571265 = V220839 - 1. assign V091913 = V968267 - 1. assign V032379 = V603627 - 1. assign V121727 = V014888. assign V077582 = V061153 - 1. assign V459586 = V712080 - 1. assign V877692 = V884926 - 1. assign V706084 = V695153 - 1. assign V311066 = V032617 + 1. assign V781348 = V889352 + 1. assign V841780 = V032617 - 1. assign V385529 = V603627. assign V633957 = V047566 - 1. assign V014888 = V074524. assign V713708 = V474512 - 1. assign V272787 = V864455 + 1. assign V571821 = V883914 + 1. assign V267303 = V208669 - 1. assign V936584 = V614078. assign V923489 = V149515. assign V154233 = V047566. assign V162063 = V474512 + 1. assign V179366 = V500084 - 1. assign V936801 = V149515. assign V515963 = V074524 - 1. assign V687415 = V829091 + 1. assign V477414 = V032379 - 1. assign V592936 = V149515. assign V737378 = V219502 - 1. assign V598522 = V923489. assign V907008 = V097946 - 1. assign V408080 = V849665. assign V593223 = V436092 - 1. assign V783559 = V788889. assign V085554 = V165739 - 1. assign V165739 = V500084. assign V470699 = V592936 + 1. assign V795364 = V833969. assign V511605 = V220839 - 1. assign V208669 = V220839 + 1. assign V804166 = V864455 - 1. assign V695153 = V165739. assign V536388 = V085554. assign V579230 = V472899 + 1. assign V163611 = V477414 - 1. assign V833969 = V713708 + 1. assign V820676 = V208669. assign V698390 = V032379 + 1. assign V849665 = V827323 + 1. assign V883914 = V040272 - 1. assign V829091 = V712080 - 1. assign V741305 = V829091 - 1. assign V168537 = V851728 + 1. assign V079595 = V091913 - 1. assign V712080 = V074524 + 1. assign V963930 = V080415. assign V088589 = V154233 - 1. assign V436092 = V032379 - 1. assign V652975 = V085554 + 1. assign V366783 = V653960 + 1. assign V694588 = V436092. assign V040272 = V459586 - 1. assign V132783 = V953035 + 1. assign V068308 = V884926 - 1. assign V047566 = V603627. assign V994672 = V827323 + 1. assign V745088 = V074524 + 1. assign V080415 = V616103 - 1. assign V946474 = V483009 - 1. assign V182214 = V515963. assign V729682 = 4. assign V513215 = V459586 - 1. assign V284648 = V968267 - 1. assign V228581 = V891451 + 1. assign V968790 = V020762 + 1. assign V097946 = V020762. assign V919281 = V877463. assign V600588 = V713708. assign V143664 = V020762 - 1. assign V682730 = V653960 - 1. assign V074524 = V385529 + 1. assign V483009 = V741305 - 1. assign V856002 = V500084 + 1. assign V049369 = V228581 - 1. assign V398539 = V712080 - 1. assign V725538 = V032617. assign V134379 = V729682. assign V697989 = V877463. assign V438491 = V078903 - 1. assign V222769 = V085554 + 1. assign V827323 = V315730 - 1. assign V061153 = V852449 - 1. assign V877463 = V706084. assign V081974 = V311066 - 1. assign V782020 = V515963 + 1. assign V037502 = V020762. assign V484356 = V849665 - 1. assign V635486 = V741305 - 1. assign V280735 = V343001. assign V032617 = V712080. assign V849968 = V220839 - 1. assign V953035 = V470699 + 1. assign V717982 = V852449 + 1. assign V852449 = V603627. assign V121829 = V088589 - 1. assign V946460 = V284648 + 1. assign V615112 = V781348. assign V851728 = V097946 + 1. assign V020762 = V074524 + 1. assign V416623 = V143664. assign V864455 = V315730 + 1. assign V220839 = V047566 - 1. assign V287331 = V079595 + 1. assign V951611 = V436092 + 1. assign V876638 = V764378 - 1. assign V181676 = V763972. assign V617557 = V179366 - 1. assign V630238 = V741305 + 1. assign V836703 = V889352. assign V500084 = V745088. assign V653960 = V851728 + 1. assign V889352 = V603627 - 1. assign V080249 = V105481 - 1. assign V968245 = V074524 - 1. assign V926489 = V579230 + 1. assign V105970 = V513215. assign V383526 = V889352. assign V177521 = V440033 + 1. assign V162398 = V571265. assign V474512 = V385529. assign V764378 = V923489 + 1. assign V120614 = V919281 + 1. assign V824869 = V598522. assign V482864 = V440033 + 1. assign V477069 = V040272 - 1. assign V806551 = V876638 - 1. assign V968267 = V741305 - 1. assign V067404 = V829091 + 1. assign V722651 = V165739. assign V694128 = V533611 - 1. assign V343001 = V121727. assign V186411 = V841780. assign V646367 = V474512. assign V149515 = V745088 - 1. assign V078903 = V876638 - 1. assign V579880 = V332494. assign V219502 = V459586. assign V702926 = V121727. assign V504507 = V851728 + 1. assign V677516 = V206372 - 1. assign V533611 = V579230 + 1. assign V332494 = V284648 + 1. assign V105481 = V852449 - 1. assign V508549 = V706084 - 1. assign V616103 = V603627 - 1. assign V003466 = V515963 - 1. assign V472899 = V745088 - 1. assign V884926 = V829091 - 1. assign V312826 = V579880 + 1. assign V840578 = V946460 - 1. assign V891451 = V459586. assign V398844 = V722651 + 1. assign V445602 = V040272 - 1. assign V440033 = V085554 + 1. assign V614078 = V852449 + 1. assign V315730 = V047566 - 1. assign V354339 = V162063. assign V788889 = V781348 + 1. assign V206372 = V877463 - 1. assign V763972 = V635486 - 1. assign V525679 = V579230. assign V476934 = V474512 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V571265 = V220839 - 1. assign V091913 = V968267 - 1. assign V032379 = V603627 - 1. assign V121727 = V014888. assign V077582 = V061153 - 1. assign V459586 = V712080 - 1. assign V877692 = V884926 - 1. assign V706084 = V695153 - 1. assign V311066 = V032617 + 1. assign V781348 = V889352 + 1. assign V841780 = V032617 - 1. assign V385529 = V603627. assign V633957 = V047566 - 1. assign V014888 = V074524. assign V713708 = V474512 - 1. assign V272787 = V864455 + 1. assign V571821 = V883914 + 1. assign V267303 = V208669 - 1. assign V936584 = V614078. assign V923489 = V149515. assign V154233 = V047566. assign V162063 = V474512 + 1. assign V179366 = V500084 - 1. assign V936801 = V149515. assign V515963 = V074524 - 1. assign V687415 = V829091 + 1. assign V477414 = V032379 - 1. assign V592936 = V149515. assign V737378 = V219502 - 1. assign V598522 = V923489. assign V907008 = V097946 - 1. assign V408080 = V849665. assign V593223 = V436092 - 1. assign V783559 = V788889. assign V085554 = V165739 - 1. assign V165739 = V500084. assign V470699 = V592936 + 1. assign V795364 = V833969. assign V511605 = V220839 - 1. assign V208669 = V220839 + 1. assign V804166 = V864455 - 1. assign V695153 = V165739. assign V536388 = V085554. assign V579230 = V472899 + 1. assign V163611 = V477414 - 1. assign V833969 = V713708 + 1. assign V820676 = V208669. assign V698390 = V032379 + 1. assign V849665 = V827323 + 1. assign V883914 = V040272 - 1. assign V829091 = V712080 - 1. assign V741305 = V829091 - 1. assign V168537 = V851728 + 1. assign V079595 = V091913 - 1. assign V712080 = V074524 + 1. assign V963930 = V080415. assign V088589 = V154233 - 1. assign V436092 = V032379 - 1. assign V652975 = V085554 + 1. assign V366783 = V653960 + 1. assign V694588 = V436092. assign V040272 = V459586 - 1. assign V132783 = V953035 + 1. assign V068308 = V884926 - 1. assign V047566 = V603627. assign V994672 = V827323 + 1. assign V745088 = V074524 + 1. assign V080415 = V616103 - 1. assign V946474 = V483009 - 1. assign V182214 = V515963. assign V729682 = 4. assign V513215 = V459586 - 1. assign V284648 = V968267 - 1. assign V228581 = V891451 + 1. assign V968790 = V020762 + 1. assign V097946 = V020762. assign V919281 = V877463. assign V600588 = V713708. assign V143664 = V020762 - 1. assign V682730 = V653960 - 1. assign V074524 = V385529 + 1. assign V483009 = V741305 - 1. assign V856002 = V500084 + 1. assign V049369 = V228581 - 1. assign V398539 = V712080 - 1. assign V725538 = V032617. assign V134379 = V729682. assign V697989 = V877463. assign V438491 = V078903 - 1. assign V222769 = V085554 + 1. assign V827323 = V315730 - 1. assign V061153 = V852449 - 1. assign V877463 = V706084. assign V081974 = V311066 - 1. assign V782020 = V515963 + 1. assign V037502 = V020762. assign V484356 = V849665 - 1. assign V635486 = V741305 - 1. assign V280735 = V343001. assign V032617 = V712080. assign V849968 = V220839 - 1. assign V953035 = V470699 + 1. assign V717982 = V852449 + 1. assign V852449 = V603627. assign V121829 = V088589 - 1. assign V946460 = V284648 + 1. assign V615112 = V781348. assign V851728 = V097946 + 1. assign V020762 = V074524 + 1. assign V416623 = V143664. assign V864455 = V315730 + 1. assign V220839 = V047566 - 1. assign V287331 = V079595 + 1. assign V951611 = V436092 + 1. assign V876638 = V764378 - 1. assign V181676 = V763972. assign V617557 = V179366 - 1. assign V630238 = V741305 + 1. assign V836703 = V889352. assign V500084 = V745088. assign V653960 = V851728 + 1. assign V889352 = V603627 - 1. assign V080249 = V105481 - 1. assign V968245 = V074524 - 1. assign V926489 = V579230 + 1. assign V105970 = V513215. assign V383526 = V889352. assign V177521 = V440033 + 1. assign V162398 = V571265. assign V474512 = V385529. assign V764378 = V923489 + 1. assign V120614 = V919281 + 1. assign V824869 = V598522. assign V482864 = V440033 + 1. assign V477069 = V040272 - 1. assign V806551 = V876638 - 1. assign V968267 = V741305 - 1. assign V067404 = V829091 + 1. assign V722651 = V165739. assign V694128 = V533611 - 1. assign V343001 = V121727. assign V186411 = V841780. assign V646367 = V474512. assign V149515 = V745088 - 1. assign V078903 = V876638 - 1. assign V579880 = V332494. assign V219502 = V459586. assign V702926 = V121727. assign V504507 = V851728 + 1. assign V677516 = V206372 - 1. assign V533611 = V579230 + 1. assign V332494 = V284648 + 1. assign V105481 = V852449 - 1. assign V508549 = V706084 - 1. assign V616103 = V603627 - 1. assign V003466 = V515963 - 1. assign V472899 = V745088 - 1. assign V884926 = V829091 - 1. assign V312826 = V579880 + 1. assign V840578 = V946460 - 1. assign V891451 = V459586. assign V398844 = V722651 + 1. assign V445602 = V040272 - 1. assign V440033 = V085554 + 1. assign V614078 = V852449 + 1. assign V315730 = V047566 - 1. assign V354339 = V162063. assign V788889 = V781348 + 1. assign V206372 = V877463 - 1. assign V763972 = V635486 - 1. assign V525679 = V579230. assign V476934 = V474512 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV729682 = 4;\n\nFrom these direct assignment(s), we have: \nV134379 = V729682 = 4;\nNo other variables can be derived from V134379;\nNo other variables can be derived from V729682;\n\nNow we have done all the calculations. Derived variables are:\nV729682 = 4;\nV134379 = 4;\n\nNow we have finished this problem. ANSWER:\nV729682, V134379\n", "role": "assistant" } ]

[ "V531027", "V891948" ]

[ { "content": "<context>\nassign V546165 = V046117 + 1. assign V169392 = V396661. assign V394810 = V368121 - 1. assign V373307 = V289926 + 1. assign V147083 = V623681 + 1. assign V908526 = V297763. assign V502486 = V789921. assign V978703 = V368121 - 1. assign V938793 = V261987 + 1. assign V494372 = V526242 - 1. assign V315934 = V891853 - 1. assign V306576 = V031422 - 1. assign V169126 = V666674 - 1. assign V257227 = V106630 - 1. assign V144760 = V512526 - 1. assign V755244 = V063084 - 1. assign V329254 = V810991 + 1. assign V923540 = V978703 + 1. assign V834442 = V189102. assign V122244 = V329485 + 1. assign V512526 = V983440. assign V219947 = V690612 - 1. assign V063084 = V711460 + 1. assign V789921 = V190041 - 1. assign V106630 = V046117 - 1. assign V943295 = V768490 - 1. assign V622455 = V711460 + 1. assign V193441 = V282957. assign V864589 = V536005 + 1. assign V680090 = V368121 - 1. assign V189102 = V983440 - 1. assign V409415 = V282957 + 1. assign V526242 = V063084. assign V995486 = V345135 - 1. assign V531027 = 7. assign V911223 = V728368 + 1. assign V712978 = V264962. assign V735738 = V722649 + 1. assign V913793 = V389681 - 1. assign V536005 = V408781. assign V462139 = V722649 - 1. assign V983440 = V736899 + 1. assign V563704 = V237905. assign V449168 = V324859 + 1. assign V871018 = V728368. assign V509977 = V822597 - 1. assign V382082 = V943295. assign V123778 = V129984 - 1. assign V650694 = V783520 + 1. assign V112803 = V821046. assign V789535 = V213271. assign V922767 = V129984 - 1. assign V289926 = V063084. assign V129984 = V913793 + 1. assign V368121 = V193441 - 1. assign V833100 = V345135 + 1. assign V324859 = V736899. assign V639996 = V345135 + 1. assign V728368 = V285141 + 1. assign V329282 = V945240. assign V426772 = V789921 + 1. assign V562989 = V155453. assign V571023 = V257227 + 1. assign V623681 = V092953. assign V138996 = V722649 + 1. assign V461668 = V783520 + 1. assign V490963 = V736899. assign V814170 = V461668. assign V092953 = V502486 - 1. assign V269304 = V324859 - 1. assign V481319 = V736899 + 1. assign V975143 = V563704 - 1. assign V425008 = V063084 - 1. assign V690612 = V222375 - 1. assign V865767 = V833618 - 1. assign V129689 = V512526 + 1. assign V420587 = V526242 - 1. assign V580137 = V739206 - 1. assign V268201 = V891853. assign V711460 = V736899 - 1. assign V944815 = V163952. assign V239630 = V821046 - 1. assign V190041 = V526242 + 1. assign V482227 = V374597 + 1. assign V329485 = V050199. assign V821046 = V345135 - 1. assign V590973 = V031422 - 1. assign V285141 = V289926 + 1. assign V128748 = V502486 + 1. assign V031459 = V576439 - 1. assign V510048 = V063084. assign V924264 = V666674. assign V768490 = V502486 - 1. assign V648669 = V736899 + 1. assign V408781 = V706507 - 1. assign V833618 = V722649 + 1. assign V576439 = V983440 + 1. assign V351482 = V257227 - 1. assign V012767 = V871018. assign V914628 = V768490 + 1. assign V722649 = V914868 - 1. assign V172209 = V562989 - 1. assign V074379 = V789921 + 1. assign V345135 = V510048 + 1. assign V245337 = V891853. assign V529112 = V123778 - 1. assign V998546 = V123778. assign V396661 = V481319 - 1. assign V666674 = V706507 + 1. assign V891853 = V050199 + 1. assign V264962 = V945240 + 1. assign V706507 = V282957. assign V838676 = V031422. assign V213271 = V722649. assign V050199 = V481319 + 1. assign V141085 = V556349. assign V379281 = V546165. assign V031422 = V169392. assign V243366 = V389681 + 1. assign V556349 = V268201 + 1. assign V555660 = V913793. assign V865475 = V943295 - 1. assign V056929 = V814170 - 1. assign V222375 = V031422. assign V046117 = V983440 - 1. assign V783520 = V481319 - 1. assign V810991 = V650694 + 1. assign V223393 = V285141 + 1. assign V941231 = V306576 - 1. assign V237905 = V189102. assign V182975 = V789921 + 1. assign V960940 = V243366 - 1. assign V997599 = V368121 + 1. assign V398384 = V226326 - 1. assign V320649 = V735738. assign V155453 = V810991 - 1. assign V925452 = V050199. assign V577406 = V297763. assign V248912 = V711460 - 1. assign V150807 = V502486 - 1. assign V739206 = V261987. assign V914868 = V526242 + 1. assign V822597 = V502486 + 1. assign V968094 = V063084. assign V686915 = V190041 - 1. assign V059691 = V968094 + 1. assign V945240 = V502486. assign V389681 = V046117 + 1. assign V356591 = V968094 + 1. assign V226326 = V356591. assign V956583 = V768490. assign V443796 = V481319 - 1. assign V163952 = V650694 - 1. assign V950347 = V944815 + 1. assign V297763 = V106630 - 1. assign V261987 = V706507 - 1. assign V662161 = V282957 - 1. assign V518185 = V711460 - 1. assign V826341 = V623681. assign V581347 = V834442. assign V181751 = V502486 - 1. assign V175260 = V685367 - 1. assign V374597 = V711460 - 1. assign V891948 = V531027. assign V321981 = V833618. assign V826177 = V222375. assign V528686 = V891853 + 1. assign V685367 = V983440 - 1. assign V141141 = V155453 + 1. assign V739381 = V222375. assign V855338 = V623681 + 1. assign V282957 = V736899 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V546165 = V046117 + 1. assign V169392 = V396661. assign V394810 = V368121 - 1. assign V373307 = V289926 + 1. assign V147083 = V623681 + 1. assign V908526 = V297763. assign V502486 = V789921. assign V978703 = V368121 - 1. assign V938793 = V261987 + 1. assign V494372 = V526242 - 1. assign V315934 = V891853 - 1. assign V306576 = V031422 - 1. assign V169126 = V666674 - 1. assign V257227 = V106630 - 1. assign V144760 = V512526 - 1. assign V755244 = V063084 - 1. assign V329254 = V810991 + 1. assign V923540 = V978703 + 1. assign V834442 = V189102. assign V122244 = V329485 + 1. assign V512526 = V983440. assign V219947 = V690612 - 1. assign V063084 = V711460 + 1. assign V789921 = V190041 - 1. assign V106630 = V046117 - 1. assign V943295 = V768490 - 1. assign V622455 = V711460 + 1. assign V193441 = V282957. assign V864589 = V536005 + 1. assign V680090 = V368121 - 1. assign V189102 = V983440 - 1. assign V409415 = V282957 + 1. assign V526242 = V063084. assign V995486 = V345135 - 1. assign V531027 = 7. assign V911223 = V728368 + 1. assign V712978 = V264962. assign V735738 = V722649 + 1. assign V913793 = V389681 - 1. assign V536005 = V408781. assign V462139 = V722649 - 1. assign V983440 = V736899 + 1. assign V563704 = V237905. assign V449168 = V324859 + 1. assign V871018 = V728368. assign V509977 = V822597 - 1. assign V382082 = V943295. assign V123778 = V129984 - 1. assign V650694 = V783520 + 1. assign V112803 = V821046. assign V789535 = V213271. assign V922767 = V129984 - 1. assign V289926 = V063084. assign V129984 = V913793 + 1. assign V368121 = V193441 - 1. assign V833100 = V345135 + 1. assign V324859 = V736899. assign V639996 = V345135 + 1. assign V728368 = V285141 + 1. assign V329282 = V945240. assign V426772 = V789921 + 1. assign V562989 = V155453. assign V571023 = V257227 + 1. assign V623681 = V092953. assign V138996 = V722649 + 1. assign V461668 = V783520 + 1. assign V490963 = V736899. assign V814170 = V461668. assign V092953 = V502486 - 1. assign V269304 = V324859 - 1. assign V481319 = V736899 + 1. assign V975143 = V563704 - 1. assign V425008 = V063084 - 1. assign V690612 = V222375 - 1. assign V865767 = V833618 - 1. assign V129689 = V512526 + 1. assign V420587 = V526242 - 1. assign V580137 = V739206 - 1. assign V268201 = V891853. assign V711460 = V736899 - 1. assign V944815 = V163952. assign V239630 = V821046 - 1. assign V190041 = V526242 + 1. assign V482227 = V374597 + 1. assign V329485 = V050199. assign V821046 = V345135 - 1. assign V590973 = V031422 - 1. assign V285141 = V289926 + 1. assign V128748 = V502486 + 1. assign V031459 = V576439 - 1. assign V510048 = V063084. assign V924264 = V666674. assign V768490 = V502486 - 1. assign V648669 = V736899 + 1. assign V408781 = V706507 - 1. assign V833618 = V722649 + 1. assign V576439 = V983440 + 1. assign V351482 = V257227 - 1. assign V012767 = V871018. assign V914628 = V768490 + 1. assign V722649 = V914868 - 1. assign V172209 = V562989 - 1. assign V074379 = V789921 + 1. assign V345135 = V510048 + 1. assign V245337 = V891853. assign V529112 = V123778 - 1. assign V998546 = V123778. assign V396661 = V481319 - 1. assign V666674 = V706507 + 1. assign V891853 = V050199 + 1. assign V264962 = V945240 + 1. assign V706507 = V282957. assign V838676 = V031422. assign V213271 = V722649. assign V050199 = V481319 + 1. assign V141085 = V556349. assign V379281 = V546165. assign V031422 = V169392. assign V243366 = V389681 + 1. assign V556349 = V268201 + 1. assign V555660 = V913793. assign V865475 = V943295 - 1. assign V056929 = V814170 - 1. assign V222375 = V031422. assign V046117 = V983440 - 1. assign V783520 = V481319 - 1. assign V810991 = V650694 + 1. assign V223393 = V285141 + 1. assign V941231 = V306576 - 1. assign V237905 = V189102. assign V182975 = V789921 + 1. assign V960940 = V243366 - 1. assign V997599 = V368121 + 1. assign V398384 = V226326 - 1. assign V320649 = V735738. assign V155453 = V810991 - 1. assign V925452 = V050199. assign V577406 = V297763. assign V248912 = V711460 - 1. assign V150807 = V502486 - 1. assign V739206 = V261987. assign V914868 = V526242 + 1. assign V822597 = V502486 + 1. assign V968094 = V063084. assign V686915 = V190041 - 1. assign V059691 = V968094 + 1. assign V945240 = V502486. assign V389681 = V046117 + 1. assign V356591 = V968094 + 1. assign V226326 = V356591. assign V956583 = V768490. assign V443796 = V481319 - 1. assign V163952 = V650694 - 1. assign V950347 = V944815 + 1. assign V297763 = V106630 - 1. assign V261987 = V706507 - 1. assign V662161 = V282957 - 1. assign V518185 = V711460 - 1. assign V826341 = V623681. assign V581347 = V834442. assign V181751 = V502486 - 1. assign V175260 = V685367 - 1. assign V374597 = V711460 - 1. assign V891948 = V531027. assign V321981 = V833618. assign V826177 = V222375. assign V528686 = V891853 + 1. assign V685367 = V983440 - 1. assign V141141 = V155453 + 1. assign V739381 = V222375. assign V855338 = V623681 + 1. assign V282957 = V736899 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV531027 = 7;\n\nFrom these direct assignment(s), we have: \nV891948 = V531027 = 7;\nNo other variables can be derived from V891948;\nNo other variables can be derived from V531027;\n\nNow we have done all the calculations. Derived variables are:\nV531027 = 7;\nV891948 = 7;\n\nNow we have finished this problem. ANSWER:\nV531027, V891948\n", "role": "assistant" } ]

[ "V696219", "V095823" ]

[ { "content": "<context>\nassign V577436 = V045637. assign V597559 = V547636 - 1. assign V547636 = V329021 - 1. assign V361280 = V283146. assign V999104 = V905343. assign V594465 = V673003. assign V220514 = V917436 - 1. assign V194537 = V547636 - 1. assign V291665 = V030821 - 1. assign V410327 = V756812. assign V995427 = V366822 + 1. assign V104538 = V905264 + 1. assign V496489 = V827601 - 1. assign V757284 = V472353 - 1. assign V917436 = V045637 - 1. assign V905343 = V001667 + 1. assign V181761 = V759407. assign V281328 = V831999 + 1. assign V635794 = V729275. assign V174936 = V022706 + 1. assign V331471 = V662911 + 1. assign V929712 = V499028 - 1. assign V575901 = V030821. assign V728300 = V224901 + 1. assign V584276 = V543405 + 1. assign V564378 = V905343. assign V813960 = V703720 - 1. assign V042360 = V148462 + 1. assign V707340 = V735190. assign V383685 = V038134 + 1. assign V507059 = V022706. assign V428065 = V250145 + 1. assign V466845 = V837763 + 1. assign V724075 = V958195 + 1. assign V217762 = V652754. assign V751313 = V001667 + 1. assign V209194 = V799093 - 1. assign V995565 = V853218 + 1. assign V612887 = V153962. assign V470561 = V793334 - 1. assign V353936 = V728300 - 1. assign V148462 = V594465 - 1. assign V919355 = V547636 + 1. assign V643174 = V001667 - 1. assign V014993 = V578772 + 1. assign V897409 = V635794 + 1. assign V905264 = V331471 + 1. assign V881273 = V283146. assign V962712 = V432269. assign V566473 = V499561 + 1. assign V250145 = V432269 + 1. assign V377592 = V729275 - 1. assign V546138 = V153962. assign V907482 = V594465. assign V443785 = V472353 - 1. assign V705079 = V499561 + 1. assign V682432 = V689574. assign V266601 = V419195 - 1. assign V090964 = V014993. assign V463621 = V762809 - 1. assign V238326 = V795202 + 1. assign V491435 = V905343 - 1. assign V827601 = V410327 - 1. assign V969554 = V606955 + 1. assign V204104 = V425705 - 1. assign V068214 = V042360 - 1. assign V683114 = V604037. assign V159753 = V724075. assign V056227 = V579464. assign V726231 = V566473 - 1. assign V759407 = V331471 + 1. assign V309656 = V209194 + 1. assign V940726 = V224901. assign V606955 = V329021 - 1. assign V951378 = V307532 + 1. assign V674321 = V662911 + 1. assign V030821 = V757284 + 1. assign V761015 = V793334 - 1. assign V022706 = V090964 + 1. assign V224901 = V804008 - 1. assign V815377 = V491672 + 1. assign V578772 = V905343 - 1. assign V283146 = V209194 - 1. assign V095823 = V696219. assign V491672 = V673003 + 1. assign V775264 = V703720 - 1. assign V976426 = V931254 - 1. assign V209353 = V067190. assign V019332 = V905343 + 1. assign V912293 = V238326. assign V433726 = V566473 + 1. assign V804008 = V905343. assign V735190 = V042360 - 1. assign V543405 = V522278. assign V703720 = V799093. assign V605197 = V463162 - 1. assign V492578 = V159753. assign V451437 = V329021 + 1. assign V689574 = V463162. assign V685446 = V366822 + 1. assign V934247 = V804008. assign V652754 = V962712 - 1. assign V500814 = V361280. assign V579464 = V995427 - 1. assign V499561 = V578772 - 1. assign V958195 = V762809 + 1. assign V532352 = V432269 - 1. assign V837763 = V597559 - 1. assign V509297 = V705079 + 1. assign V366822 = V499561. assign V708247 = V532352 + 1. assign V463162 = V940726 - 1. assign V662911 = V194537 - 1. assign V327121 = V867119 - 1. assign V669808 = V837763 + 1. assign V889837 = V799093 - 1. assign V915301 = V499561. assign V583133 = V989284 + 1. assign V604037 = V643174. assign V085951 = V159753. assign V067190 = V597559 - 1. assign V798987 = V919355. assign V874735 = V492578 - 1. assign V194083 = V761015 + 1. assign V155009 = V361280 - 1. assign V356544 = V999104. assign V931254 = V015274. assign V997837 = V068214 + 1. assign V778885 = V793334 - 1. assign V015274 = V597559 - 1. assign V762809 = V032121. assign V758984 = V568473. assign V419195 = V578772 + 1. assign V729275 = V329021 - 1. assign V418370 = V046904 - 1. assign V205704 = V762809. assign V522278 = V578772 + 1. assign V723128 = V014993 + 1. assign V568473 = V793334 + 1. assign V432269 = V499561 + 1. assign V187623 = V509297 + 1. assign V522940 = V578772 - 1. assign V046904 = V568473. assign V696219 = 1. assign V689450 = V905264. assign V307532 = V761015 - 1. assign V464278 = V917436 - 1. assign V795202 = V032121 - 1. assign V799093 = V329021 + 1. assign V989284 = V578772. assign V788029 = V067190. assign V329021 = V762809 - 1. assign V793334 = V905343 - 1. assign V867119 = V224901. assign V045637 = V428065. assign V425705 = V662911 - 1. assign V143482 = V940726. assign V853218 = V532352. assign V472353 = V329021 + 1. assign V831999 = V014993 + 1. assign V038134 = V728300 + 1. assign V614943 = V594465 + 1. assign V371845 = V491435 - 1. assign V110710 = V443785 - 1. assign V756812 = V491672 - 1. assign V499028 = V674321 - 1. assign V856447 = V383685 - 1. assign V032121 = V905343 - 1. assign V673003 = V578772 - 1. assign V328083 = V751313 + 1. assign V153962 = V564378. assign V076277 = V597559.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V577436 = V045637. assign V597559 = V547636 - 1. assign V547636 = V329021 - 1. assign V361280 = V283146. assign V999104 = V905343. assign V594465 = V673003. assign V220514 = V917436 - 1. assign V194537 = V547636 - 1. assign V291665 = V030821 - 1. assign V410327 = V756812. assign V995427 = V366822 + 1. assign V104538 = V905264 + 1. assign V496489 = V827601 - 1. assign V757284 = V472353 - 1. assign V917436 = V045637 - 1. assign V905343 = V001667 + 1. assign V181761 = V759407. assign V281328 = V831999 + 1. assign V635794 = V729275. assign V174936 = V022706 + 1. assign V331471 = V662911 + 1. assign V929712 = V499028 - 1. assign V575901 = V030821. assign V728300 = V224901 + 1. assign V584276 = V543405 + 1. assign V564378 = V905343. assign V813960 = V703720 - 1. assign V042360 = V148462 + 1. assign V707340 = V735190. assign V383685 = V038134 + 1. assign V507059 = V022706. assign V428065 = V250145 + 1. assign V466845 = V837763 + 1. assign V724075 = V958195 + 1. assign V217762 = V652754. assign V751313 = V001667 + 1. assign V209194 = V799093 - 1. assign V995565 = V853218 + 1. assign V612887 = V153962. assign V470561 = V793334 - 1. assign V353936 = V728300 - 1. assign V148462 = V594465 - 1. assign V919355 = V547636 + 1. assign V643174 = V001667 - 1. assign V014993 = V578772 + 1. assign V897409 = V635794 + 1. assign V905264 = V331471 + 1. assign V881273 = V283146. assign V962712 = V432269. assign V566473 = V499561 + 1. assign V250145 = V432269 + 1. assign V377592 = V729275 - 1. assign V546138 = V153962. assign V907482 = V594465. assign V443785 = V472353 - 1. assign V705079 = V499561 + 1. assign V682432 = V689574. assign V266601 = V419195 - 1. assign V090964 = V014993. assign V463621 = V762809 - 1. assign V238326 = V795202 + 1. assign V491435 = V905343 - 1. assign V827601 = V410327 - 1. assign V969554 = V606955 + 1. assign V204104 = V425705 - 1. assign V068214 = V042360 - 1. assign V683114 = V604037. assign V159753 = V724075. assign V056227 = V579464. assign V726231 = V566473 - 1. assign V759407 = V331471 + 1. assign V309656 = V209194 + 1. assign V940726 = V224901. assign V606955 = V329021 - 1. assign V951378 = V307532 + 1. assign V674321 = V662911 + 1. assign V030821 = V757284 + 1. assign V761015 = V793334 - 1. assign V022706 = V090964 + 1. assign V224901 = V804008 - 1. assign V815377 = V491672 + 1. assign V578772 = V905343 - 1. assign V283146 = V209194 - 1. assign V095823 = V696219. assign V491672 = V673003 + 1. assign V775264 = V703720 - 1. assign V976426 = V931254 - 1. assign V209353 = V067190. assign V019332 = V905343 + 1. assign V912293 = V238326. assign V433726 = V566473 + 1. assign V804008 = V905343. assign V735190 = V042360 - 1. assign V543405 = V522278. assign V703720 = V799093. assign V605197 = V463162 - 1. assign V492578 = V159753. assign V451437 = V329021 + 1. assign V689574 = V463162. assign V685446 = V366822 + 1. assign V934247 = V804008. assign V652754 = V962712 - 1. assign V500814 = V361280. assign V579464 = V995427 - 1. assign V499561 = V578772 - 1. assign V958195 = V762809 + 1. assign V532352 = V432269 - 1. assign V837763 = V597559 - 1. assign V509297 = V705079 + 1. assign V366822 = V499561. assign V708247 = V532352 + 1. assign V463162 = V940726 - 1. assign V662911 = V194537 - 1. assign V327121 = V867119 - 1. assign V669808 = V837763 + 1. assign V889837 = V799093 - 1. assign V915301 = V499561. assign V583133 = V989284 + 1. assign V604037 = V643174. assign V085951 = V159753. assign V067190 = V597559 - 1. assign V798987 = V919355. assign V874735 = V492578 - 1. assign V194083 = V761015 + 1. assign V155009 = V361280 - 1. assign V356544 = V999104. assign V931254 = V015274. assign V997837 = V068214 + 1. assign V778885 = V793334 - 1. assign V015274 = V597559 - 1. assign V762809 = V032121. assign V758984 = V568473. assign V419195 = V578772 + 1. assign V729275 = V329021 - 1. assign V418370 = V046904 - 1. assign V205704 = V762809. assign V522278 = V578772 + 1. assign V723128 = V014993 + 1. assign V568473 = V793334 + 1. assign V432269 = V499561 + 1. assign V187623 = V509297 + 1. assign V522940 = V578772 - 1. assign V046904 = V568473. assign V696219 = 1. assign V689450 = V905264. assign V307532 = V761015 - 1. assign V464278 = V917436 - 1. assign V795202 = V032121 - 1. assign V799093 = V329021 + 1. assign V989284 = V578772. assign V788029 = V067190. assign V329021 = V762809 - 1. assign V793334 = V905343 - 1. assign V867119 = V224901. assign V045637 = V428065. assign V425705 = V662911 - 1. assign V143482 = V940726. assign V853218 = V532352. assign V472353 = V329021 + 1. assign V831999 = V014993 + 1. assign V038134 = V728300 + 1. assign V614943 = V594465 + 1. assign V371845 = V491435 - 1. assign V110710 = V443785 - 1. assign V756812 = V491672 - 1. assign V499028 = V674321 - 1. assign V856447 = V383685 - 1. assign V032121 = V905343 - 1. assign V673003 = V578772 - 1. assign V328083 = V751313 + 1. assign V153962 = V564378. assign V076277 = V597559.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV696219 = 1;\n\nFrom these direct assignment(s), we have: \nV095823 = V696219 = 1;\nNo other variables can be derived from V095823;\nNo other variables can be derived from V696219;\n\nNow we have done all the calculations. Derived variables are:\nV696219 = 1;\nV095823 = 1;\n\nNow we have finished this problem. ANSWER:\nV696219, V095823\n", "role": "assistant" } ]

[ "V615214", "V788818" ]

[ { "content": "<context>\nassign V539366 = V733985 - 1. assign V917446 = V240477. assign V283745 = V244143 - 1. assign V187209 = V283920 - 1. assign V733985 = V240477 + 1. assign V688379 = V464124. assign V254564 = V332129. assign V711358 = V563922 + 1. assign V464124 = V456096. assign V274512 = V424816 - 1. assign V084337 = V147351 + 1. assign V884510 = V456096 + 1. assign V888034 = V699798 + 1. assign V172814 = V751112 + 1. assign V505730 = V475620 - 1. assign V246271 = V893215 + 1. assign V446055 = V893215 + 1. assign V798610 = V637047 + 1. assign V498865 = V446055 - 1. assign V199253 = V505730 - 1. assign V732688 = V875843 + 1. assign V833433 = V446055 + 1. assign V282604 = V364655 + 1. assign V966462 = V322241 + 1. assign V218367 = V016827 - 1. assign V054813 = V537803 + 1. assign V472300 = V264616 - 1. assign V103206 = V573089 + 1. assign V553877 = V477416 - 1. assign V263583 = V259580 + 1. assign V984997 = V210888 - 1. assign V386103 = V936799. assign V628090 = V376932 + 1. assign V728881 = V406585 + 1. assign V936799 = V539366 - 1. assign V335146 = V111076 + 1. assign V493859 = V804904 - 1. assign V734454 = V889926 - 1. assign V111392 = V464124 - 1. assign V953843 = V025196 - 1. assign V869619 = V980407 - 1. assign V156527 = V893215. assign V025196 = V240477 + 1. assign V168404 = V833433. assign V730615 = V804904 - 1. assign V111076 = V868492 + 1. assign V035107 = V498865 + 1. assign V596993 = V953843 - 1. assign V121179 = V335146 - 1. assign V980407 = V475620. assign V571734 = V573089 + 1. assign V094715 = V750459 + 1. assign V596794 = V054813 + 1. assign V314045 = V437024. assign V788818 = V615214. assign V223775 = V573089 + 1. assign V458257 = V751112. assign V437024 = V477416 + 1. assign V433721 = V390913 + 1. assign V919843 = V039535. assign V268901 = V386564 + 1. assign V406585 = V282604 - 1. assign V177167 = V563922 - 1. assign V259580 = V264616 + 1. assign V435504 = V177167. assign V728721 = V298222. assign V264616 = V953843. assign V298222 = V893215. assign V283920 = V111683 - 1. assign V456096 = V240477 - 1. assign V641972 = V322241 + 1. assign V659649 = V750459. assign V274275 = V282604. assign V390913 = V364655 - 1. assign V753820 = V187209 + 1. assign V284106 = V284527 + 1. assign V080638 = V298222 + 1. assign V724827 = V711358 + 1. assign V039535 = V628090 - 1. assign V581555 = V875958 - 1. assign V436241 = V065652 + 1. assign V543587 = V493859 + 1. assign V868247 = V553877. assign V964054 = V246271. assign V111683 = V464124 + 1. assign V188137 = V964054 + 1. assign V807948 = V884510. assign V979861 = V446055 - 1. assign V907910 = V397929 - 1. assign V112046 = V493859 + 1. assign V362785 = V596993 - 1. assign V453835 = V563922 + 1. assign V376932 = V282604 - 1. assign V244143 = V386564 + 1. assign V094802 = V061952. assign V791131 = V111076 - 1. assign V804904 = V571734 - 1. assign V889926 = V980407. assign V048374 = V074928. assign V875958 = V376932 + 1. assign V475620 = V240477 + 1. assign V855196 = V936799 + 1. assign V163410 = V084337 - 1. assign V598734 = V298222 - 1. assign V952550 = V335146 - 1. assign V161963 = V477416 + 1. assign V699798 = V025196 - 1. assign V817471 = V264616 - 1. assign V418674 = V371361. assign V637047 = V505730 - 1. assign V761989 = V869619. assign V563922 = V240477 - 1. assign V397929 = V103206 + 1. assign V374927 = V475620 - 1. assign V477416 = V371361 - 1. assign V451782 = V506765. assign V082477 = V240477. assign V065652 = V477416. assign V573089 = V889926 - 1. assign V175347 = V868492. assign V016827 = V025196 - 1. assign V608774 = V498865 - 1. assign V750459 = V751112 - 1. assign V693036 = V424816 + 1. assign V739222 = V223775 + 1. assign V348022 = V112046 - 1. assign V240477 = V960868 - 1. assign V506765 = V889926. assign V703810 = V386103 - 1. assign V074928 = V464124. assign V463596 = V878194. assign V878194 = V335146 + 1. assign V963946 = V868492 - 1. assign V851234 = V505730 - 1. assign V335730 = V733985 + 1. assign V277382 = V263583 - 1. assign V226143 = V016827 + 1. assign V057926 = V475620. assign V817028 = V751112 - 1. assign V061952 = V539366. assign V868492 = V156527 - 1. assign V424816 = V175347 + 1. assign V039139 = V917446 - 1. assign V364655 = V246271 + 1. assign V641573 = V371361 + 1. assign V750925 = V264616 - 1. assign V537803 = V268901 + 1. assign V893215 = V960868 - 1. assign V275415 = V175347 + 1. assign V903191 = V335730. assign V322241 = V869619 + 1. assign V993972 = V314045 - 1. assign V147351 = V464124 + 1. assign V054028 = V703810 - 1. assign V332129 = V637047. assign V986122 = V268901 - 1. assign V820740 = V641573. assign V668935 = V979861. assign V338984 = V161963 - 1. assign V615214 = 3. assign V371361 = V573089 - 1. assign V386564 = V751112. assign V415371 = V057926 + 1. assign V210888 = V693036 - 1. assign V405934 = V750459. assign V751112 = V733985. assign V284527 = V386103 + 1. assign V019141 = V964054 + 1. assign V875843 = V065652 - 1. assign V667424 = V082477 + 1. assign V699547 = V936799 + 1. assign V074963 = V463596 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V539366 = V733985 - 1. assign V917446 = V240477. assign V283745 = V244143 - 1. assign V187209 = V283920 - 1. assign V733985 = V240477 + 1. assign V688379 = V464124. assign V254564 = V332129. assign V711358 = V563922 + 1. assign V464124 = V456096. assign V274512 = V424816 - 1. assign V084337 = V147351 + 1. assign V884510 = V456096 + 1. assign V888034 = V699798 + 1. assign V172814 = V751112 + 1. assign V505730 = V475620 - 1. assign V246271 = V893215 + 1. assign V446055 = V893215 + 1. assign V798610 = V637047 + 1. assign V498865 = V446055 - 1. assign V199253 = V505730 - 1. assign V732688 = V875843 + 1. assign V833433 = V446055 + 1. assign V282604 = V364655 + 1. assign V966462 = V322241 + 1. assign V218367 = V016827 - 1. assign V054813 = V537803 + 1. assign V472300 = V264616 - 1. assign V103206 = V573089 + 1. assign V553877 = V477416 - 1. assign V263583 = V259580 + 1. assign V984997 = V210888 - 1. assign V386103 = V936799. assign V628090 = V376932 + 1. assign V728881 = V406585 + 1. assign V936799 = V539366 - 1. assign V335146 = V111076 + 1. assign V493859 = V804904 - 1. assign V734454 = V889926 - 1. assign V111392 = V464124 - 1. assign V953843 = V025196 - 1. assign V869619 = V980407 - 1. assign V156527 = V893215. assign V025196 = V240477 + 1. assign V168404 = V833433. assign V730615 = V804904 - 1. assign V111076 = V868492 + 1. assign V035107 = V498865 + 1. assign V596993 = V953843 - 1. assign V121179 = V335146 - 1. assign V980407 = V475620. assign V571734 = V573089 + 1. assign V094715 = V750459 + 1. assign V596794 = V054813 + 1. assign V314045 = V437024. assign V788818 = V615214. assign V223775 = V573089 + 1. assign V458257 = V751112. assign V437024 = V477416 + 1. assign V433721 = V390913 + 1. assign V919843 = V039535. assign V268901 = V386564 + 1. assign V406585 = V282604 - 1. assign V177167 = V563922 - 1. assign V259580 = V264616 + 1. assign V435504 = V177167. assign V728721 = V298222. assign V264616 = V953843. assign V298222 = V893215. assign V283920 = V111683 - 1. assign V456096 = V240477 - 1. assign V641972 = V322241 + 1. assign V659649 = V750459. assign V274275 = V282604. assign V390913 = V364655 - 1. assign V753820 = V187209 + 1. assign V284106 = V284527 + 1. assign V080638 = V298222 + 1. assign V724827 = V711358 + 1. assign V039535 = V628090 - 1. assign V581555 = V875958 - 1. assign V436241 = V065652 + 1. assign V543587 = V493859 + 1. assign V868247 = V553877. assign V964054 = V246271. assign V111683 = V464124 + 1. assign V188137 = V964054 + 1. assign V807948 = V884510. assign V979861 = V446055 - 1. assign V907910 = V397929 - 1. assign V112046 = V493859 + 1. assign V362785 = V596993 - 1. assign V453835 = V563922 + 1. assign V376932 = V282604 - 1. assign V244143 = V386564 + 1. assign V094802 = V061952. assign V791131 = V111076 - 1. assign V804904 = V571734 - 1. assign V889926 = V980407. assign V048374 = V074928. assign V875958 = V376932 + 1. assign V475620 = V240477 + 1. assign V855196 = V936799 + 1. assign V163410 = V084337 - 1. assign V598734 = V298222 - 1. assign V952550 = V335146 - 1. assign V161963 = V477416 + 1. assign V699798 = V025196 - 1. assign V817471 = V264616 - 1. assign V418674 = V371361. assign V637047 = V505730 - 1. assign V761989 = V869619. assign V563922 = V240477 - 1. assign V397929 = V103206 + 1. assign V374927 = V475620 - 1. assign V477416 = V371361 - 1. assign V451782 = V506765. assign V082477 = V240477. assign V065652 = V477416. assign V573089 = V889926 - 1. assign V175347 = V868492. assign V016827 = V025196 - 1. assign V608774 = V498865 - 1. assign V750459 = V751112 - 1. assign V693036 = V424816 + 1. assign V739222 = V223775 + 1. assign V348022 = V112046 - 1. assign V240477 = V960868 - 1. assign V506765 = V889926. assign V703810 = V386103 - 1. assign V074928 = V464124. assign V463596 = V878194. assign V878194 = V335146 + 1. assign V963946 = V868492 - 1. assign V851234 = V505730 - 1. assign V335730 = V733985 + 1. assign V277382 = V263583 - 1. assign V226143 = V016827 + 1. assign V057926 = V475620. assign V817028 = V751112 - 1. assign V061952 = V539366. assign V868492 = V156527 - 1. assign V424816 = V175347 + 1. assign V039139 = V917446 - 1. assign V364655 = V246271 + 1. assign V641573 = V371361 + 1. assign V750925 = V264616 - 1. assign V537803 = V268901 + 1. assign V893215 = V960868 - 1. assign V275415 = V175347 + 1. assign V903191 = V335730. assign V322241 = V869619 + 1. assign V993972 = V314045 - 1. assign V147351 = V464124 + 1. assign V054028 = V703810 - 1. assign V332129 = V637047. assign V986122 = V268901 - 1. assign V820740 = V641573. assign V668935 = V979861. assign V338984 = V161963 - 1. assign V615214 = 3. assign V371361 = V573089 - 1. assign V386564 = V751112. assign V415371 = V057926 + 1. assign V210888 = V693036 - 1. assign V405934 = V750459. assign V751112 = V733985. assign V284527 = V386103 + 1. assign V019141 = V964054 + 1. assign V875843 = V065652 - 1. assign V667424 = V082477 + 1. assign V699547 = V936799 + 1. assign V074963 = V463596 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV615214 = 3;\n\nFrom these direct assignment(s), we have: \nV788818 = V615214 = 3;\nNo other variables can be derived from V788818;\nNo other variables can be derived from V615214;\n\nNow we have done all the calculations. Derived variables are:\nV615214 = 3;\nV788818 = 3;\n\nNow we have finished this problem. ANSWER:\nV615214, V788818\n", "role": "assistant" } ]

[ "V274117" ]

[ { "content": "<context>\nassign V396683 = V763529. assign V171768 = V887944. assign V912100 = V545890 - 1. assign V569263 = V348945. assign V311506 = V827878 - 1. assign V739972 = V530656 - 1. assign V315962 = V174851 - 1. assign V780036 = V617387. assign V764867 = V417370 + 1. assign V398581 = V173384. assign V119675 = V270579. assign V012278 = V968282 + 1. assign V712039 = V306493. assign V592554 = V688215. assign V083634 = V260736 - 1. assign V408340 = V680144 - 1. assign V116063 = V934148. assign V459618 = V414922 - 1. assign V889707 = V235721 - 1. assign V621594 = V137388. assign V414922 = V270579. assign V600929 = V617387 + 1. assign V153764 = V739972 - 1. assign V608531 = V632405 - 1. assign V548407 = V627008 - 1. assign V740613 = V911682 - 1. assign V235721 = V821195. assign V192667 = V414922 + 1. assign V788975 = V183175. assign V442423 = V122917 + 1. assign V965711 = V632405 - 1. assign V306493 = V910469 - 1. assign V968282 = V063110 + 1. assign V763529 = V485434 + 1. assign V461844 = V323032 - 1. assign V571951 = V485434. assign V600020 = V680144. assign V245545 = V602944 + 1. assign V994816 = V545890 - 1. assign V655671 = V602944 + 1. assign V572983 = V712039. assign V568997 = V065369 + 1. assign V531319 = V398581 - 1. assign V485434 = V617387 + 1. assign V323032 = V267028. assign V677724 = V608531 - 1. assign V865043 = V812513. assign V303864 = V067515 - 1. assign V582543 = V260736 + 1. assign V821195 = V600929 - 1. assign V099100 = V081889 - 1. assign V260736 = V602944 + 1. assign V072272 = V608531 - 1. assign V846339 = V198603. assign V617387 = V994816 + 1. assign V530442 = V680144 - 1. assign V342287 = V270579 - 1. assign V081889 = V545890 - 1. assign V405635 = V417370 - 1. assign V634037 = V081889 + 1. assign V887944 = V934148 + 1. assign V118098 = V781787 - 1. assign V728705 = V602944 + 1. assign V505106 = V568997 - 1. assign V342351 = V348945 - 1. assign V958985 = V530656 - 1. assign V472973 = V763529 - 1. assign V174851 = V122917 + 1. assign V695170 = V668156 + 1. assign V173384 = V003205 - 1. assign V252977 = V877279. assign V767420 = V827878. assign V003205 = V712427 + 1. assign V270579 = V617387 - 1. assign V122917 = V911682 - 1. assign V214106 = V153764 + 1. assign V655193 = V687419 + 1. assign V626399 = V827878 - 1. assign V621600 = V530442 - 1. assign V934148 = V680144 - 1. assign V048230 = V067515 - 1. assign V687419 = V626399 + 1. assign V417370 = V912100 - 1. assign V411581 = V799506 - 1. assign V808251 = V677724 + 1. assign V328265 = V402997 + 1. assign V171311 = V137388 - 1. assign V198522 = V865043 + 1. assign V632405 = V912100 - 1. assign V137388 = V941486. assign V908281 = V576397 - 1. assign V609479 = V260736 - 1. assign V759149 = V934148. assign V668156 = V576397 + 1. assign V077166 = V608531. assign V364855 = V569263. assign V362428 = V417370. assign V267188 = V158570. assign V063110 = V283642. assign V002757 = V485434. assign V741715 = V911682 - 1. assign V517547 = V912100 - 1. assign V799506 = V617387 - 1. assign V597596 = V799506 + 1. assign V765266 = V122917 - 1. assign V222560 = V417370 + 1. assign V863098 = V306493 + 1. assign V142270 = V680144 - 1. assign V283642 = V680144. assign V635497 = V627008 + 1. assign V910469 = V245545 - 1. assign V783746 = V712427 - 1. assign V183175 = V576397. assign V198603 = V485434 - 1. assign V856175 = V192667 + 1. assign V941486 = V322721 - 1. assign V713153 = V545890 - 1. assign V158570 = V728705 - 1. assign V447684 = V994816. assign V675608 = V222560 - 1. assign V838605 = V763529 - 1. assign V680144 = V912100 + 1. assign V350679 = V994816. assign V348945 = V713153 - 1. assign V070288 = V530656 + 1. assign V646382 = V303864. assign V322721 = V447684 - 1. assign V877279 = V617387. assign V576397 = V447684. assign V688215 = V183175 + 1. assign V787334 = V012278. assign V916859 = V877279 - 1. assign V232076 = V739972 + 1. assign V624944 = V787334. assign V975959 = V787334 + 1. assign V198862 = V912100. assign V712427 = V912100. assign V397686 = V827878. assign V813816 = V695170. assign V853591 = V812513. assign V602944 = V994816. assign V956764 = V142270. assign V274117 = V125541 - 1. assign V068932 = V713153 - 1. assign V911682 = V617387 - 1. assign V530656 = V007532. assign V543990 = V838605. assign V571851 = V174851. assign V007532 = V911682. assign V267028 = V081889 + 1. assign V125541 = 3. assign V840467 = V685665. assign V289395 = V198603 - 1. assign V685665 = V609479 + 1. assign V633102 = V740613 - 1. assign V627008 = V153764. assign V065369 = V414922 - 1. assign V067515 = V007532 - 1. assign V246475 = V414922 - 1. assign V067242 = V940634 - 1. assign V402997 = V799506 - 1. assign V812513 = V417370 - 1. assign V641704 = V122917. assign V633615 = V198603. assign V940634 = V597596. assign V707474 = V323032. assign V827878 = V600929 - 1. assign V958971 = V821195 - 1. assign V285576 = V158570 + 1. assign V429607 = V070288. assign V781787 = V485434 - 1. assign V100657 = V617387 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V396683 = V763529. assign V171768 = V887944. assign V912100 = V545890 - 1. assign V569263 = V348945. assign V311506 = V827878 - 1. assign V739972 = V530656 - 1. assign V315962 = V174851 - 1. assign V780036 = V617387. assign V764867 = V417370 + 1. assign V398581 = V173384. assign V119675 = V270579. assign V012278 = V968282 + 1. assign V712039 = V306493. assign V592554 = V688215. assign V083634 = V260736 - 1. assign V408340 = V680144 - 1. assign V116063 = V934148. assign V459618 = V414922 - 1. assign V889707 = V235721 - 1. assign V621594 = V137388. assign V414922 = V270579. assign V600929 = V617387 + 1. assign V153764 = V739972 - 1. assign V608531 = V632405 - 1. assign V548407 = V627008 - 1. assign V740613 = V911682 - 1. assign V235721 = V821195. assign V192667 = V414922 + 1. assign V788975 = V183175. assign V442423 = V122917 + 1. assign V965711 = V632405 - 1. assign V306493 = V910469 - 1. assign V968282 = V063110 + 1. assign V763529 = V485434 + 1. assign V461844 = V323032 - 1. assign V571951 = V485434. assign V600020 = V680144. assign V245545 = V602944 + 1. assign V994816 = V545890 - 1. assign V655671 = V602944 + 1. assign V572983 = V712039. assign V568997 = V065369 + 1. assign V531319 = V398581 - 1. assign V485434 = V617387 + 1. assign V323032 = V267028. assign V677724 = V608531 - 1. assign V865043 = V812513. assign V303864 = V067515 - 1. assign V582543 = V260736 + 1. assign V821195 = V600929 - 1. assign V099100 = V081889 - 1. assign V260736 = V602944 + 1. assign V072272 = V608531 - 1. assign V846339 = V198603. assign V617387 = V994816 + 1. assign V530442 = V680144 - 1. assign V342287 = V270579 - 1. assign V081889 = V545890 - 1. assign V405635 = V417370 - 1. assign V634037 = V081889 + 1. assign V887944 = V934148 + 1. assign V118098 = V781787 - 1. assign V728705 = V602944 + 1. assign V505106 = V568997 - 1. assign V342351 = V348945 - 1. assign V958985 = V530656 - 1. assign V472973 = V763529 - 1. assign V174851 = V122917 + 1. assign V695170 = V668156 + 1. assign V173384 = V003205 - 1. assign V252977 = V877279. assign V767420 = V827878. assign V003205 = V712427 + 1. assign V270579 = V617387 - 1. assign V122917 = V911682 - 1. assign V214106 = V153764 + 1. assign V655193 = V687419 + 1. assign V626399 = V827878 - 1. assign V621600 = V530442 - 1. assign V934148 = V680144 - 1. assign V048230 = V067515 - 1. assign V687419 = V626399 + 1. assign V417370 = V912100 - 1. assign V411581 = V799506 - 1. assign V808251 = V677724 + 1. assign V328265 = V402997 + 1. assign V171311 = V137388 - 1. assign V198522 = V865043 + 1. assign V632405 = V912100 - 1. assign V137388 = V941486. assign V908281 = V576397 - 1. assign V609479 = V260736 - 1. assign V759149 = V934148. assign V668156 = V576397 + 1. assign V077166 = V608531. assign V364855 = V569263. assign V362428 = V417370. assign V267188 = V158570. assign V063110 = V283642. assign V002757 = V485434. assign V741715 = V911682 - 1. assign V517547 = V912100 - 1. assign V799506 = V617387 - 1. assign V597596 = V799506 + 1. assign V765266 = V122917 - 1. assign V222560 = V417370 + 1. assign V863098 = V306493 + 1. assign V142270 = V680144 - 1. assign V283642 = V680144. assign V635497 = V627008 + 1. assign V910469 = V245545 - 1. assign V783746 = V712427 - 1. assign V183175 = V576397. assign V198603 = V485434 - 1. assign V856175 = V192667 + 1. assign V941486 = V322721 - 1. assign V713153 = V545890 - 1. assign V158570 = V728705 - 1. assign V447684 = V994816. assign V675608 = V222560 - 1. assign V838605 = V763529 - 1. assign V680144 = V912100 + 1. assign V350679 = V994816. assign V348945 = V713153 - 1. assign V070288 = V530656 + 1. assign V646382 = V303864. assign V322721 = V447684 - 1. assign V877279 = V617387. assign V576397 = V447684. assign V688215 = V183175 + 1. assign V787334 = V012278. assign V916859 = V877279 - 1. assign V232076 = V739972 + 1. assign V624944 = V787334. assign V975959 = V787334 + 1. assign V198862 = V912100. assign V712427 = V912100. assign V397686 = V827878. assign V813816 = V695170. assign V853591 = V812513. assign V602944 = V994816. assign V956764 = V142270. assign V274117 = V125541 - 1. assign V068932 = V713153 - 1. assign V911682 = V617387 - 1. assign V530656 = V007532. assign V543990 = V838605. assign V571851 = V174851. assign V007532 = V911682. assign V267028 = V081889 + 1. assign V125541 = 3. assign V840467 = V685665. assign V289395 = V198603 - 1. assign V685665 = V609479 + 1. assign V633102 = V740613 - 1. assign V627008 = V153764. assign V065369 = V414922 - 1. assign V067515 = V007532 - 1. assign V246475 = V414922 - 1. assign V067242 = V940634 - 1. assign V402997 = V799506 - 1. assign V812513 = V417370 - 1. assign V641704 = V122917. assign V633615 = V198603. assign V940634 = V597596. assign V707474 = V323032. assign V827878 = V600929 - 1. assign V958971 = V821195 - 1. assign V285576 = V158570 + 1. assign V429607 = V070288. assign V781787 = V485434 - 1. assign V100657 = V617387 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV125541 = 3;\n\nFrom these direct assignment(s), we have: \nV274117 = V125541 - 1 = 3 - 1 =2;\nNo other variables can be derived from V274117;\nNo other variables can be derived from V125541;\n\nNow we have done all the calculations. Derived variables are:\nV125541 = 3;\nV274117 = 2;\n\nNow we have finished this problem. ANSWER:\nV274117\n", "role": "assistant" } ]

[ "V298788" ]

[ { "content": "<context>\nassign V513461 = V570930. assign V033884 = V987692. assign V457679 = V201792 - 1. assign V695619 = V041764. assign V349975 = V817477 + 1. assign V573547 = V716729. assign V740413 = V929039 + 1. assign V622978 = V006023. assign V547653 = V023018 - 1. assign V049852 = V622978 + 1. assign V146402 = V348789 + 1. assign V274581 = V426711. assign V006023 = V667386 + 1. assign V036235 = V092264. assign V716819 = V006023 - 1. assign V553092 = V929039 + 1. assign V633305 = V513461. assign V510548 = V493380. assign V167276 = V006023 - 1. assign V504487 = V149976. assign V023018 = V677938 - 1. assign V923093 = V883090. assign V893187 = V336707 - 1. assign V225015 = V398932 + 1. assign V425877 = V622978 + 1. assign V964495 = V651923 - 1. assign V047776 = V006023 + 1. assign V478887 = V747063. assign V720973 = V790840 - 1. assign V551062 = V919119 - 1. assign V242010 = V249095. assign V786596 = V835411 - 1. assign V531432 = V314347 - 1. assign V249095 = V570930 - 1. assign V633543 = V348789. assign V297640 = V196639. assign V436441 = V336707 - 1. assign V720843 = V297640 - 1. assign V132275 = V036235. assign V752230 = V132275 + 1. assign V579779 = V356653. assign V146536 = V114113 + 1. assign V847623 = V094976 + 1. assign V097868 = V985822. assign V169506 = V210525 - 1. assign V035753 = V398932 - 1. assign V790840 = V310147 - 1. assign V438332 = V348789 + 1. assign V389764 = V901762. assign V087296 = V191616 - 1. assign V539888 = V677938 - 1. assign V310147 = V099751. assign V099751 = V948363 - 1. assign V708507 = V228847. assign V917418 = V314347. assign V852689 = V493072 - 1. assign V937522 = V515081 + 1. assign V751663 = V094976 - 1. assign V548284 = V531432 + 1. assign V667298 = V193397. assign V777246 = V336707 + 1. assign V191616 = V023018. assign V094976 = V041764 - 1. assign V817477 = V573605 + 1. assign V404768 = V336707. assign V573605 = V348789. assign V193397 = V436441. assign V791409 = V041764 + 1. assign V808682 = V094976. assign V985822 = V619696 + 1. assign V551357 = V876610. assign V282306 = V327603 + 1. assign V386704 = V036235. assign V821674 = V558008 + 1. assign V876591 = V344588 - 1. assign V327603 = V167276 - 1. assign V249771 = V493380 - 1. assign V076028 = V274581. assign V619696 = V344588 - 1. assign V515081 = V811675 + 1. assign V336707 = V314347. assign V919119 = V314347 - 1. assign V663328 = V570930 - 1. assign V193208 = V835570 - 1. assign V279822 = V573605 - 1. assign V592757 = V667386 + 1. assign V739833 = V006023 + 1. assign V356653 = V036235. assign V282342 = V436441 - 1. assign V251712 = V847623 - 1. assign V965633 = V356653 - 1. assign V568439 = V790840 + 1. assign V493072 = V228847 - 1. assign V398932 = V808682 + 1. assign V572128 = V310147 + 1. assign V819561 = V282342 + 1. assign V811675 = V320759. assign V092264 = V035753. assign V279349 = V181660 - 1. assign V781841 = V677938 + 1. assign V987692 = V279822 - 1. assign V716729 = V439294. assign V849829 = V282342 + 1. assign V298788 = 9. assign V250931 = V862126 - 1. assign V913937 = V193208. assign V235781 = V146402 - 1. assign V862126 = V677938 + 1. assign V539093 = V722996 + 1. assign V228847 = V948363 - 1. assign V273342 = V200484 + 1. assign V948363 = V570930 - 1. assign V125184 = V146402 - 1. assign V651923 = V915495 + 1. assign V575651 = V777246. assign V674043 = V314347 + 1. assign V560813 = V438332. assign V545564 = V919119. assign V196639 = V314347 + 1. assign V087571 = V092264 + 1. assign V692001 = V023018. assign V677938 = V041764 + 1. assign V058904 = V200484 - 1. assign V667386 = V531432. assign V251369 = V509522. assign V514515 = V404768 - 1. assign V857800 = V279349 + 1. assign V570930 = V094976. assign V835570 = V747063 + 1. assign V426711 = V677938 - 1. assign V114113 = V092264 - 1. assign V149976 = V344588. assign V493380 = V196639. assign V314347 = V041764. assign V883090 = V951470. assign V632596 = V167276. assign V217793 = V677938 - 1. assign V320759 = V094976 - 1. assign V558008 = V547653. assign V568144 = V918117 - 1. assign V265254 = V297640. assign V036471 = V348789 + 1. assign V876610 = V279822 + 1. assign V903241 = V298788 + 1. assign V680266 = V570930 + 1. assign V348789 = V336707 + 1. assign V918117 = V951470. assign V200484 = V041764. assign V523138 = V862126. assign V181660 = V436441. assign V956304 = V976139. assign V439294 = V847623 + 1. assign V976139 = V273342 + 1. assign V722996 = V531432 + 1. assign V929039 = V791409 + 1. assign V699837 = V835570 - 1. assign V951470 = V847623 - 1. assign V201792 = V274581 + 1. assign V517350 = V036235. assign V747063 = V320759 + 1. assign V915495 = V336707 + 1. assign V982643 = V948363 - 1. assign V344588 = V023018. assign V509522 = V282342. assign V880371 = V099751. assign V210525 = V951470 + 1. assign V309948 = V314347 + 1. assign V835411 = V398932. assign V747409 = V436441 + 1. assign V901762 = V167276. assign V858237 = V200484. assign V105899 = V808682.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V513461 = V570930. assign V033884 = V987692. assign V457679 = V201792 - 1. assign V695619 = V041764. assign V349975 = V817477 + 1. assign V573547 = V716729. assign V740413 = V929039 + 1. assign V622978 = V006023. assign V547653 = V023018 - 1. assign V049852 = V622978 + 1. assign V146402 = V348789 + 1. assign V274581 = V426711. assign V006023 = V667386 + 1. assign V036235 = V092264. assign V716819 = V006023 - 1. assign V553092 = V929039 + 1. assign V633305 = V513461. assign V510548 = V493380. assign V167276 = V006023 - 1. assign V504487 = V149976. assign V023018 = V677938 - 1. assign V923093 = V883090. assign V893187 = V336707 - 1. assign V225015 = V398932 + 1. assign V425877 = V622978 + 1. assign V964495 = V651923 - 1. assign V047776 = V006023 + 1. assign V478887 = V747063. assign V720973 = V790840 - 1. assign V551062 = V919119 - 1. assign V242010 = V249095. assign V786596 = V835411 - 1. assign V531432 = V314347 - 1. assign V249095 = V570930 - 1. assign V633543 = V348789. assign V297640 = V196639. assign V436441 = V336707 - 1. assign V720843 = V297640 - 1. assign V132275 = V036235. assign V752230 = V132275 + 1. assign V579779 = V356653. assign V146536 = V114113 + 1. assign V847623 = V094976 + 1. assign V097868 = V985822. assign V169506 = V210525 - 1. assign V035753 = V398932 - 1. assign V790840 = V310147 - 1. assign V438332 = V348789 + 1. assign V389764 = V901762. assign V087296 = V191616 - 1. assign V539888 = V677938 - 1. assign V310147 = V099751. assign V099751 = V948363 - 1. assign V708507 = V228847. assign V917418 = V314347. assign V852689 = V493072 - 1. assign V937522 = V515081 + 1. assign V751663 = V094976 - 1. assign V548284 = V531432 + 1. assign V667298 = V193397. assign V777246 = V336707 + 1. assign V191616 = V023018. assign V094976 = V041764 - 1. assign V817477 = V573605 + 1. assign V404768 = V336707. assign V573605 = V348789. assign V193397 = V436441. assign V791409 = V041764 + 1. assign V808682 = V094976. assign V985822 = V619696 + 1. assign V551357 = V876610. assign V282306 = V327603 + 1. assign V386704 = V036235. assign V821674 = V558008 + 1. assign V876591 = V344588 - 1. assign V327603 = V167276 - 1. assign V249771 = V493380 - 1. assign V076028 = V274581. assign V619696 = V344588 - 1. assign V515081 = V811675 + 1. assign V336707 = V314347. assign V919119 = V314347 - 1. assign V663328 = V570930 - 1. assign V193208 = V835570 - 1. assign V279822 = V573605 - 1. assign V592757 = V667386 + 1. assign V739833 = V006023 + 1. assign V356653 = V036235. assign V282342 = V436441 - 1. assign V251712 = V847623 - 1. assign V965633 = V356653 - 1. assign V568439 = V790840 + 1. assign V493072 = V228847 - 1. assign V398932 = V808682 + 1. assign V572128 = V310147 + 1. assign V819561 = V282342 + 1. assign V811675 = V320759. assign V092264 = V035753. assign V279349 = V181660 - 1. assign V781841 = V677938 + 1. assign V987692 = V279822 - 1. assign V716729 = V439294. assign V849829 = V282342 + 1. assign V298788 = 9. assign V250931 = V862126 - 1. assign V913937 = V193208. assign V235781 = V146402 - 1. assign V862126 = V677938 + 1. assign V539093 = V722996 + 1. assign V228847 = V948363 - 1. assign V273342 = V200484 + 1. assign V948363 = V570930 - 1. assign V125184 = V146402 - 1. assign V651923 = V915495 + 1. assign V575651 = V777246. assign V674043 = V314347 + 1. assign V560813 = V438332. assign V545564 = V919119. assign V196639 = V314347 + 1. assign V087571 = V092264 + 1. assign V692001 = V023018. assign V677938 = V041764 + 1. assign V058904 = V200484 - 1. assign V667386 = V531432. assign V251369 = V509522. assign V514515 = V404768 - 1. assign V857800 = V279349 + 1. assign V570930 = V094976. assign V835570 = V747063 + 1. assign V426711 = V677938 - 1. assign V114113 = V092264 - 1. assign V149976 = V344588. assign V493380 = V196639. assign V314347 = V041764. assign V883090 = V951470. assign V632596 = V167276. assign V217793 = V677938 - 1. assign V320759 = V094976 - 1. assign V558008 = V547653. assign V568144 = V918117 - 1. assign V265254 = V297640. assign V036471 = V348789 + 1. assign V876610 = V279822 + 1. assign V903241 = V298788 + 1. assign V680266 = V570930 + 1. assign V348789 = V336707 + 1. assign V918117 = V951470. assign V200484 = V041764. assign V523138 = V862126. assign V181660 = V436441. assign V956304 = V976139. assign V439294 = V847623 + 1. assign V976139 = V273342 + 1. assign V722996 = V531432 + 1. assign V929039 = V791409 + 1. assign V699837 = V835570 - 1. assign V951470 = V847623 - 1. assign V201792 = V274581 + 1. assign V517350 = V036235. assign V747063 = V320759 + 1. assign V915495 = V336707 + 1. assign V982643 = V948363 - 1. assign V344588 = V023018. assign V509522 = V282342. assign V880371 = V099751. assign V210525 = V951470 + 1. assign V309948 = V314347 + 1. assign V835411 = V398932. assign V747409 = V436441 + 1. assign V901762 = V167276. assign V858237 = V200484. assign V105899 = V808682.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV298788 = 9;\n\nFrom these direct assignment(s), we have: \nV903241 = V298788 + 1 = 9 + 1 =10;\nNo other variables can be derived from V903241;\nNo other variables can be derived from V298788;\n\nNow we have done all the calculations. Derived variables are:\nV298788 = 9;\nV903241 = 10;\n\nNow we have finished this problem. ANSWER:\nV298788\n", "role": "assistant" } ]

[ "V871340" ]

[ { "content": "<context>\nassign V072127 = V122799 - 1. assign V773014 = V353287. assign V576878 = V412556 + 1. assign V221112 = V458539 - 1. assign V171671 = V538625 - 1. assign V647865 = V422941. assign V269901 = V957358. assign V829375 = V171671 + 1. assign V312736 = V850418 + 1. assign V437804 = V829375 + 1. assign V014419 = V052120 + 1. assign V772958 = V825424 - 1. assign V678954 = V757838 - 1. assign V715428 = V437398 + 1. assign V144962 = V171671 + 1. assign V959811 = V458539. assign V639838 = V350962 - 1. assign V936998 = V179639 + 1. assign V045614 = V825424. assign V212208 = V710826 - 1. assign V350962 = V545144 - 1. assign V082563 = V538625 + 1. assign V509904 = V020082. assign V986913 = V179639 - 1. assign V917792 = V210933 - 1. assign V145996 = V829375 + 1. assign V224381 = V171671. assign V361619 = V144683. assign V788365 = V927497. assign V464227 = V504806. assign V215526 = V253449 - 1. assign V095487 = V523007 + 1. assign V460603 = V538625 - 1. assign V519325 = V144962 - 1. assign V155761 = V538625. assign V742405 = V626342 + 1. assign V717091 = V437398 - 1. assign V631978 = V851270 - 1. assign V397278 = V373099 - 1. assign V001454 = V460603 - 1. assign V928491 = V354781. assign V620113 = 10. assign V460061 = V072127 - 1. assign V566579 = V757838 + 1. assign V502405 = V936998 - 1. assign V981474 = V538625. assign V388971 = V458539 - 1. assign V748762 = V458539 + 1. assign V562111 = V545144. assign V729139 = V699950 + 1. assign V613564 = V150308 - 1. assign V560033 = V715428 - 1. assign V354781 = V957358 - 1. assign V366501 = V020082 - 1. assign V887113 = V366501. assign V089227 = V253449 - 1. assign V626342 = V757838. assign V393410 = V916836 + 1. assign V403655 = V818697. assign V818697 = V566579. assign V871340 = V620113 + 1. assign V590234 = V155761. assign V357553 = V981474 - 1. assign V210933 = V135783 + 1. assign V144683 = V538625 - 1. assign V916836 = V523007 + 1. assign V595197 = V748762 - 1. assign V985717 = V811895 - 1. assign V041349 = V717091 + 1. assign V316707 = V811895. assign V599754 = V328060 + 1. assign V893554 = V458539. assign V253449 = V538625 + 1. assign V871970 = V305738 + 1. assign V123619 = V422941. assign V769476 = V562111 - 1. assign V757838 = V851270 - 1. assign V807067 = V224381 - 1. assign V268834 = V509904. assign V816217 = V171671 - 1. assign V122799 = V155761 - 1. assign V464043 = V562111 - 1. assign V373099 = V590234 - 1. assign V901463 = V224381 + 1. assign V458007 = V122799 + 1. assign V774294 = V807067 - 1. assign V141028 = V986913 - 1. assign V922892 = V122799 + 1. assign V850418 = V757838 - 1. assign V412556 = V981474 + 1. assign V399048 = V901463 - 1. assign V020082 = V851270. assign V970584 = V149115. assign V113839 = V144962 - 1. assign V149115 = V713857. assign V837548 = V388971 + 1. assign V713857 = V558677. assign V306573 = V627154. assign V545144 = V811895 - 1. assign V851270 = V460603 + 1. assign V721598 = V558677. assign V752128 = V871970 - 1. assign V729007 = V451110. assign V005368 = V742405 - 1. assign V458539 = V678954. assign V179639 = V296947 + 1. assign V605645 = V365857 - 1. assign V365857 = V538625 + 1. assign V557581 = V748027 + 1. assign V927497 = V454436 + 1. assign V150276 = V752823. assign V427030 = V197312 - 1. assign V074805 = V458007. assign V496853 = V590234 + 1. assign V687231 = V135783 + 1. assign V328060 = V757838. assign V135783 = V829375 - 1. assign V014487 = V269901 + 1. assign V095030 = V197312 + 1. assign V507192 = V825424. assign V673685 = V599754 + 1. assign V346617 = V985717. assign V537019 = V074805. assign V773193 = V927497 - 1. assign V052120 = V807067. assign V189654 = V678954. assign V368249 = V001454. assign V747095 = V144962 + 1. assign V504806 = V221112. assign V305738 = V627154 + 1. assign V789978 = V747095. assign V436375 = V412556 - 1. assign V710826 = V412556. assign V961461 = V747095 - 1. assign V430385 = V312736 + 1. assign V825424 = V412556. assign V299023 = V871970 + 1. assign V731607 = V001454 + 1. assign V715835 = V721598 + 1. assign V662730 = V305738 + 1. assign V437398 = V155761 + 1. assign V387097 = V227374 + 1. assign V227374 = V123619. assign V957358 = V936998 - 1. assign V066120 = V613564 + 1. assign V070777 = V721598. assign V248654 = V752823. assign V422941 = V412556 + 1. assign V132511 = V268834 + 1. assign V353287 = V901463. assign V523007 = V519325 - 1. assign V170777 = V454436. assign V748027 = V995312 + 1. assign V451110 = V373099 - 1. assign V631630 = V788365 + 1. assign V454436 = V458539 - 1. assign V296947 = V851270 + 1. assign V558677 = V538625. assign V114607 = V422941. assign V543761 = V981474 + 1. assign V627154 = V365857. assign V308346 = V566579 - 1. assign V699950 = V816217 - 1. assign V995312 = V144962 - 1. assign V150308 = V269901. assign V884866 = V144683 + 1. assign V811895 = V538625. assign V197312 = V001454 + 1. assign V361233 = V893554. assign V847677 = V773193 - 1. assign V752823 = V538625 + 1. assign V785888 = V566579 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V072127 = V122799 - 1. assign V773014 = V353287. assign V576878 = V412556 + 1. assign V221112 = V458539 - 1. assign V171671 = V538625 - 1. assign V647865 = V422941. assign V269901 = V957358. assign V829375 = V171671 + 1. assign V312736 = V850418 + 1. assign V437804 = V829375 + 1. assign V014419 = V052120 + 1. assign V772958 = V825424 - 1. assign V678954 = V757838 - 1. assign V715428 = V437398 + 1. assign V144962 = V171671 + 1. assign V959811 = V458539. assign V639838 = V350962 - 1. assign V936998 = V179639 + 1. assign V045614 = V825424. assign V212208 = V710826 - 1. assign V350962 = V545144 - 1. assign V082563 = V538625 + 1. assign V509904 = V020082. assign V986913 = V179639 - 1. assign V917792 = V210933 - 1. assign V145996 = V829375 + 1. assign V224381 = V171671. assign V361619 = V144683. assign V788365 = V927497. assign V464227 = V504806. assign V215526 = V253449 - 1. assign V095487 = V523007 + 1. assign V460603 = V538625 - 1. assign V519325 = V144962 - 1. assign V155761 = V538625. assign V742405 = V626342 + 1. assign V717091 = V437398 - 1. assign V631978 = V851270 - 1. assign V397278 = V373099 - 1. assign V001454 = V460603 - 1. assign V928491 = V354781. assign V620113 = 10. assign V460061 = V072127 - 1. assign V566579 = V757838 + 1. assign V502405 = V936998 - 1. assign V981474 = V538625. assign V388971 = V458539 - 1. assign V748762 = V458539 + 1. assign V562111 = V545144. assign V729139 = V699950 + 1. assign V613564 = V150308 - 1. assign V560033 = V715428 - 1. assign V354781 = V957358 - 1. assign V366501 = V020082 - 1. assign V887113 = V366501. assign V089227 = V253449 - 1. assign V626342 = V757838. assign V393410 = V916836 + 1. assign V403655 = V818697. assign V818697 = V566579. assign V871340 = V620113 + 1. assign V590234 = V155761. assign V357553 = V981474 - 1. assign V210933 = V135783 + 1. assign V144683 = V538625 - 1. assign V916836 = V523007 + 1. assign V595197 = V748762 - 1. assign V985717 = V811895 - 1. assign V041349 = V717091 + 1. assign V316707 = V811895. assign V599754 = V328060 + 1. assign V893554 = V458539. assign V253449 = V538625 + 1. assign V871970 = V305738 + 1. assign V123619 = V422941. assign V769476 = V562111 - 1. assign V757838 = V851270 - 1. assign V807067 = V224381 - 1. assign V268834 = V509904. assign V816217 = V171671 - 1. assign V122799 = V155761 - 1. assign V464043 = V562111 - 1. assign V373099 = V590234 - 1. assign V901463 = V224381 + 1. assign V458007 = V122799 + 1. assign V774294 = V807067 - 1. assign V141028 = V986913 - 1. assign V922892 = V122799 + 1. assign V850418 = V757838 - 1. assign V412556 = V981474 + 1. assign V399048 = V901463 - 1. assign V020082 = V851270. assign V970584 = V149115. assign V113839 = V144962 - 1. assign V149115 = V713857. assign V837548 = V388971 + 1. assign V713857 = V558677. assign V306573 = V627154. assign V545144 = V811895 - 1. assign V851270 = V460603 + 1. assign V721598 = V558677. assign V752128 = V871970 - 1. assign V729007 = V451110. assign V005368 = V742405 - 1. assign V458539 = V678954. assign V179639 = V296947 + 1. assign V605645 = V365857 - 1. assign V365857 = V538625 + 1. assign V557581 = V748027 + 1. assign V927497 = V454436 + 1. assign V150276 = V752823. assign V427030 = V197312 - 1. assign V074805 = V458007. assign V496853 = V590234 + 1. assign V687231 = V135783 + 1. assign V328060 = V757838. assign V135783 = V829375 - 1. assign V014487 = V269901 + 1. assign V095030 = V197312 + 1. assign V507192 = V825424. assign V673685 = V599754 + 1. assign V346617 = V985717. assign V537019 = V074805. assign V773193 = V927497 - 1. assign V052120 = V807067. assign V189654 = V678954. assign V368249 = V001454. assign V747095 = V144962 + 1. assign V504806 = V221112. assign V305738 = V627154 + 1. assign V789978 = V747095. assign V436375 = V412556 - 1. assign V710826 = V412556. assign V961461 = V747095 - 1. assign V430385 = V312736 + 1. assign V825424 = V412556. assign V299023 = V871970 + 1. assign V731607 = V001454 + 1. assign V715835 = V721598 + 1. assign V662730 = V305738 + 1. assign V437398 = V155761 + 1. assign V387097 = V227374 + 1. assign V227374 = V123619. assign V957358 = V936998 - 1. assign V066120 = V613564 + 1. assign V070777 = V721598. assign V248654 = V752823. assign V422941 = V412556 + 1. assign V132511 = V268834 + 1. assign V353287 = V901463. assign V523007 = V519325 - 1. assign V170777 = V454436. assign V748027 = V995312 + 1. assign V451110 = V373099 - 1. assign V631630 = V788365 + 1. assign V454436 = V458539 - 1. assign V296947 = V851270 + 1. assign V558677 = V538625. assign V114607 = V422941. assign V543761 = V981474 + 1. assign V627154 = V365857. assign V308346 = V566579 - 1. assign V699950 = V816217 - 1. assign V995312 = V144962 - 1. assign V150308 = V269901. assign V884866 = V144683 + 1. assign V811895 = V538625. assign V197312 = V001454 + 1. assign V361233 = V893554. assign V847677 = V773193 - 1. assign V752823 = V538625 + 1. assign V785888 = V566579 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV620113 = 10;\n\nFrom these direct assignment(s), we have: \nV871340 = V620113 + 1 = 10 + 1 =11;\nNo other variables can be derived from V871340;\nNo other variables can be derived from V620113;\n\nNow we have done all the calculations. Derived variables are:\nV620113 = 10;\nV871340 = 11;\n\nNow we have finished this problem. ANSWER:\nV871340\n", "role": "assistant" } ]

[ "V545976" ]

[ { "content": "<context>\nassign V465643 = V477552 - 1. assign V824306 = V842413 + 1. assign V040103 = V032197 + 1. assign V847473 = V849109. assign V654610 = V294245 + 1. assign V969666 = V421818 - 1. assign V769414 = V586708 + 1. assign V612809 = V774444 - 1. assign V183881 = V027255 + 1. assign V501903 = V294245 + 1. assign V132028 = V218393. assign V477552 = V165761. assign V159607 = V939827 + 1. assign V676254 = V145182 + 1. assign V101619 = V454610 - 1. assign V970585 = V723711. assign V662992 = V676254 - 1. assign V681404 = V477943. assign V723417 = V774444. assign V847207 = V804756 + 1. assign V685666 = V065767. assign V930711 = V394167 + 1. assign V406245 = V165722 + 1. assign V299319 = V477943. assign V774444 = V305265. assign V396137 = V949083 + 1. assign V159826 = V154838 + 1. assign V110616 = V154838. assign V849109 = V929930 - 1. assign V346925 = V352201 + 1. assign V992497 = V346340 - 1. assign V655968 = V545976 + 1. assign V929930 = V698888 - 1. assign V984566 = V944322. assign V068569 = V711807 + 1. assign V296909 = V575188. assign V442579 = V394167. assign V040289 = V613852 - 1. assign V725460 = V165722 - 1. assign V199703 = V429510 - 1. assign V711807 = V154838. assign V190562 = V171792 - 1. assign V723711 = V929930. assign V663834 = V842413. assign V738547 = V299319. assign V394167 = V723711. assign V197414 = V723711 - 1. assign V762957 = V421818. assign V945728 = V005766 - 1. assign V694990 = V715532 + 1. assign V863902 = V115862 + 1. assign V976896 = V804756 + 1. assign V289436 = V075894 - 1. assign V715532 = V992497. assign V114859 = V165722 - 1. assign V804756 = V475071 + 1. assign V860582 = V849109 + 1. assign V405271 = V737158. assign V405097 = V495520 - 1. assign V421818 = V842413 + 1. assign V165761 = V617584 - 1. assign V161361 = V475071 - 1. assign V005766 = V738547 + 1. assign V818719 = V930711. assign V389602 = V897720. assign V366070 = V897720. assign V171792 = V018698 - 1. assign V938435 = V218393. assign V148891 = V477943. assign V662479 = V154838. assign V747171 = V929930 - 1. assign V004590 = V804756. assign V018698 = V421818. assign V123677 = V294245 - 1. assign V954570 = V711807. assign V032197 = V220923. assign V944322 = V929930 + 1. assign V045529 = V939827 - 1. assign V141785 = V250441 + 1. assign V346340 = V068569. assign V817474 = V811977 - 1. assign V243184 = V949083. assign V672092 = V296909 - 1. assign V253530 = V027255 - 1. assign V794748 = V725460 + 1. assign V475071 = V154838 - 1. assign V586708 = V811977. assign V795993 = V109083 - 1. assign V768620 = V631024 + 1. assign V145182 = V972098 - 1. assign V771845 = V421818 - 1. assign V793337 = V698888 + 1. assign V931888 = V346340. assign V357293 = V171792. assign V696550 = V394167. assign V949083 = V698888. assign V200869 = V465643. assign V725372 = V348094 - 1. assign V682351 = V970585 - 1. assign V218393 = V698888 + 1. assign V693436 = V075894 - 1. assign V294759 = V233031 - 1. assign V631024 = V698888 - 1. assign V294245 = V243184. assign V109083 = V849109 + 1. assign V342100 = V693436. assign V089105 = V681404. assign V163172 = V930711 + 1. assign V788466 = V613852 - 1. assign V079717 = V662479. assign V250441 = V165761 + 1. assign V868080 = V768620 + 1. assign V972098 = V352201. assign V283704 = V681404 - 1. assign V165722 = V949083 + 1. assign V429510 = V396137 - 1. assign V305265 = V731766 + 1. assign V588323 = V421818. assign V625011 = V294245. assign V939827 = V454610. assign V230669 = V575188 - 1. assign V378288 = V725460. assign V897010 = V897720 - 1. assign V484448 = V586708 - 1. assign V220923 = V218393. assign V233031 = V454610 + 1. assign V507847 = V429510. assign V613852 = V093543. assign V075894 = V348094 + 1. assign V034068 = V821759. assign V394573 = V093543 - 1. assign V575188 = V218393. assign V115862 = V454610 - 1. assign V053233 = V944322 + 1. assign V006686 = V018698. assign V075772 = V817474 + 1. assign V751665 = V938911 - 1. assign V885605 = V405097 - 1. assign V602135 = V698888. assign V392529 = V151223 + 1. assign V811977 = V793337 - 1. assign V065767 = V296909. assign V819766 = V040103 - 1. assign V821759 = V068569. assign V954972 = V662479. assign V617584 = V218393 + 1. assign V968843 = V159826 - 1. assign V677497 = V617584 + 1. assign V533855 = V352201 - 1. assign V897720 = V197414 - 1. assign V151223 = V575188. assign V519734 = V114859 - 1. assign V290685 = V613852. assign V842413 = V929930 + 1. assign V731766 = V929930 - 1. assign V062155 = V305265 + 1. assign V477943 = V477552 - 1. assign V093543 = V793337 + 1. assign V352201 = V970585 + 1. assign V726573 = V897010. assign V154838 = V575188 + 1. assign V454610 = V421818 + 1. assign V737158 = V495520 + 1. assign V495520 = V984566 - 1. assign V957823 = V938911. assign V953239 = V501903 + 1. assign V027255 = V190562. assign V393810 = V154838. assign V545976 = 10. assign V938911 = V575188 + 1. assign V348094 = V154838. assign V271200 = V296909 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V465643 = V477552 - 1. assign V824306 = V842413 + 1. assign V040103 = V032197 + 1. assign V847473 = V849109. assign V654610 = V294245 + 1. assign V969666 = V421818 - 1. assign V769414 = V586708 + 1. assign V612809 = V774444 - 1. assign V183881 = V027255 + 1. assign V501903 = V294245 + 1. assign V132028 = V218393. assign V477552 = V165761. assign V159607 = V939827 + 1. assign V676254 = V145182 + 1. assign V101619 = V454610 - 1. assign V970585 = V723711. assign V662992 = V676254 - 1. assign V681404 = V477943. assign V723417 = V774444. assign V847207 = V804756 + 1. assign V685666 = V065767. assign V930711 = V394167 + 1. assign V406245 = V165722 + 1. assign V299319 = V477943. assign V774444 = V305265. assign V396137 = V949083 + 1. assign V159826 = V154838 + 1. assign V110616 = V154838. assign V849109 = V929930 - 1. assign V346925 = V352201 + 1. assign V992497 = V346340 - 1. assign V655968 = V545976 + 1. assign V929930 = V698888 - 1. assign V984566 = V944322. assign V068569 = V711807 + 1. assign V296909 = V575188. assign V442579 = V394167. assign V040289 = V613852 - 1. assign V725460 = V165722 - 1. assign V199703 = V429510 - 1. assign V711807 = V154838. assign V190562 = V171792 - 1. assign V723711 = V929930. assign V663834 = V842413. assign V738547 = V299319. assign V394167 = V723711. assign V197414 = V723711 - 1. assign V762957 = V421818. assign V945728 = V005766 - 1. assign V694990 = V715532 + 1. assign V863902 = V115862 + 1. assign V976896 = V804756 + 1. assign V289436 = V075894 - 1. assign V715532 = V992497. assign V114859 = V165722 - 1. assign V804756 = V475071 + 1. assign V860582 = V849109 + 1. assign V405271 = V737158. assign V405097 = V495520 - 1. assign V421818 = V842413 + 1. assign V165761 = V617584 - 1. assign V161361 = V475071 - 1. assign V005766 = V738547 + 1. assign V818719 = V930711. assign V389602 = V897720. assign V366070 = V897720. assign V171792 = V018698 - 1. assign V938435 = V218393. assign V148891 = V477943. assign V662479 = V154838. assign V747171 = V929930 - 1. assign V004590 = V804756. assign V018698 = V421818. assign V123677 = V294245 - 1. assign V954570 = V711807. assign V032197 = V220923. assign V944322 = V929930 + 1. assign V045529 = V939827 - 1. assign V141785 = V250441 + 1. assign V346340 = V068569. assign V817474 = V811977 - 1. assign V243184 = V949083. assign V672092 = V296909 - 1. assign V253530 = V027255 - 1. assign V794748 = V725460 + 1. assign V475071 = V154838 - 1. assign V586708 = V811977. assign V795993 = V109083 - 1. assign V768620 = V631024 + 1. assign V145182 = V972098 - 1. assign V771845 = V421818 - 1. assign V793337 = V698888 + 1. assign V931888 = V346340. assign V357293 = V171792. assign V696550 = V394167. assign V949083 = V698888. assign V200869 = V465643. assign V725372 = V348094 - 1. assign V682351 = V970585 - 1. assign V218393 = V698888 + 1. assign V693436 = V075894 - 1. assign V294759 = V233031 - 1. assign V631024 = V698888 - 1. assign V294245 = V243184. assign V109083 = V849109 + 1. assign V342100 = V693436. assign V089105 = V681404. assign V163172 = V930711 + 1. assign V788466 = V613852 - 1. assign V079717 = V662479. assign V250441 = V165761 + 1. assign V868080 = V768620 + 1. assign V972098 = V352201. assign V283704 = V681404 - 1. assign V165722 = V949083 + 1. assign V429510 = V396137 - 1. assign V305265 = V731766 + 1. assign V588323 = V421818. assign V625011 = V294245. assign V939827 = V454610. assign V230669 = V575188 - 1. assign V378288 = V725460. assign V897010 = V897720 - 1. assign V484448 = V586708 - 1. assign V220923 = V218393. assign V233031 = V454610 + 1. assign V507847 = V429510. assign V613852 = V093543. assign V075894 = V348094 + 1. assign V034068 = V821759. assign V394573 = V093543 - 1. assign V575188 = V218393. assign V115862 = V454610 - 1. assign V053233 = V944322 + 1. assign V006686 = V018698. assign V075772 = V817474 + 1. assign V751665 = V938911 - 1. assign V885605 = V405097 - 1. assign V602135 = V698888. assign V392529 = V151223 + 1. assign V811977 = V793337 - 1. assign V065767 = V296909. assign V819766 = V040103 - 1. assign V821759 = V068569. assign V954972 = V662479. assign V617584 = V218393 + 1. assign V968843 = V159826 - 1. assign V677497 = V617584 + 1. assign V533855 = V352201 - 1. assign V897720 = V197414 - 1. assign V151223 = V575188. assign V519734 = V114859 - 1. assign V290685 = V613852. assign V842413 = V929930 + 1. assign V731766 = V929930 - 1. assign V062155 = V305265 + 1. assign V477943 = V477552 - 1. assign V093543 = V793337 + 1. assign V352201 = V970585 + 1. assign V726573 = V897010. assign V154838 = V575188 + 1. assign V454610 = V421818 + 1. assign V737158 = V495520 + 1. assign V495520 = V984566 - 1. assign V957823 = V938911. assign V953239 = V501903 + 1. assign V027255 = V190562. assign V393810 = V154838. assign V545976 = 10. assign V938911 = V575188 + 1. assign V348094 = V154838. assign V271200 = V296909 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV545976 = 10;\n\nFrom these direct assignment(s), we have: \nV655968 = V545976 + 1 = 10 + 1 =11;\nNo other variables can be derived from V655968;\nNo other variables can be derived from V545976;\n\nNow we have done all the calculations. Derived variables are:\nV545976 = 10;\nV655968 = 11;\n\nNow we have finished this problem. ANSWER:\nV545976\n", "role": "assistant" } ]

[ "V204287" ]

[ { "content": "<context>\nassign V986123 = V665476 + 1. assign V228165 = V843514 - 1. assign V608829 = V505951. assign V304886 = V968049 - 1. assign V623289 = V813295 - 1. assign V987416 = V019922 - 1. assign V589328 = V825899 + 1. assign V276505 = V980971. assign V301573 = V831367 + 1. assign V019922 = V843514. assign V142336 = V423311 - 1. assign V808293 = V077351. assign V648719 = V980164 - 1. assign V813295 = V329571 - 1. assign V423311 = V939020 - 1. assign V968049 = V427205. assign V438153 = V843514 - 1. assign V273437 = V977008. assign V447316 = V228165. assign V943516 = V608829. assign V999133 = V427205 + 1. assign V473511 = V228165 + 1. assign V421583 = V871310. assign V329571 = V304454 + 1. assign V536672 = V276505. assign V291815 = V213638. assign V471246 = V222744 + 1. assign V593124 = V329571 + 1. assign V251127 = V831367. assign V299458 = V723969 - 1. assign V574383 = V210024. assign V414092 = V965456. assign V555570 = V831367. assign V099037 = V210024 + 1. assign V797682 = V870717. assign V597149 = V195910. assign V702664 = V438153. assign V762507 = V843514 + 1. assign V205472 = V071599 - 1. assign V654378 = V251127. assign V751058 = V301573 + 1. assign V965456 = V764097. assign V028792 = V077351 + 1. assign V164995 = V221204 + 1. assign V586038 = V210024 - 1. assign V624806 = V141907 + 1. assign V990493 = V968049. assign V900403 = V505951 - 1. assign V666357 = V966235. assign V577672 = V276505 - 1. assign V294759 = V542006. assign V040111 = V505951 + 1. assign V994625 = V825899 + 1. assign V429548 = V999133 + 1. assign V549033 = V149497 - 1. assign V537344 = V900403 - 1. assign V992658 = V364811 - 1. assign V980164 = V762507 + 1. assign V731635 = V130300 + 1. assign V402937 = V639662 - 1. assign V871310 = V702664 + 1. assign V143308 = V164995. assign V421110 = V249922 + 1. assign V820795 = V923236 - 1. assign V141907 = V304886. assign V262216 = V634532. assign V802291 = V723969. assign V385996 = V690108. assign V665476 = V159728 + 1. assign V149497 = V347288 - 1. assign V634254 = V843514 - 1. assign V542006 = V423311. assign V476796 = V555570. assign V293532 = V999133 - 1. assign V875097 = V213638 - 1. assign V966235 = V690108 - 1. assign V420367 = V028792. assign V809837 = V222744 - 1. assign V628981 = V803090. assign V127388 = V690886. assign V997387 = V586038 - 1. assign V195910 = V421110 + 1. assign V184738 = V427205. assign V520532 = V764097 + 1. assign V448235 = V634532 + 1. assign V159728 = V942594 + 1. assign V939020 = V304454 + 1. assign V419031 = V099037 - 1. assign V923236 = V555570. assign V892702 = V623289 + 1. assign V114261 = V831367 + 1. assign V249922 = V634254 - 1. assign V663973 = V634730. assign V644356 = V011376. assign V213638 = V077351. assign V222744 = V213638 - 1. assign V388882 = V235835 + 1. assign V825899 = V813295. assign V564703 = V429548 + 1. assign V077351 = V634254 - 1. assign V455843 = V977008 + 1. assign V077330 = V623289 + 1. assign V478292 = V966235. assign V196678 = V987416 - 1. assign V006591 = V634532 + 1. assign V848084 = V195910 + 1. assign V248060 = V623289. assign V288365 = V613200. assign V584225 = V204287 - 1. assign V015491 = V347288 + 1. assign V270863 = V987416. assign V221204 = V848084 - 1. assign V781480 = V690108 - 1. assign V970960 = V304886. assign V130300 = V848084. assign V162685 = V537344 + 1. assign V071599 = V099037 - 1. assign V558523 = V159728 + 1. assign V783389 = V564703. assign V574659 = V942594 + 1. assign V111222 = V019922. assign V980971 = V999133 + 1. assign V514680 = V099037. assign V216402 = V359578. assign V322998 = V803090. assign V374175 = V213638. assign V505951 = V843514 + 1. assign V723969 = V650639. assign V252602 = V634532 + 1. assign V125827 = V149497 + 1. assign V226232 = V149497 - 1. assign V909265 = V650639. assign V613200 = V159728 + 1. assign V204287 = 9. assign V677382 = V226232. assign V843514 = V999133. assign V572736 = V028792. assign V347288 = V813295 + 1. assign V977008 = V943516 - 1. assign V224696 = V797682 - 1. assign V870717 = V537344 - 1. assign V386892 = V304454. assign V450657 = V329571 + 1. assign V831367 = V690886 + 1. assign V690886 = V329571. assign V235835 = V564703 - 1. assign V968406 = V870717 - 1. assign V755101 = V427205. assign V359578 = V966235 - 1. assign V634730 = V870717 - 1. assign V210024 = V421110. assign V609634 = V797682. assign V573730 = V149497. assign V634532 = V564703 + 1. assign V969342 = V141907 - 1. assign V764097 = V843514 + 1. assign V136586 = V577672. assign V304454 = V427205. assign V639662 = V386892. assign V942594 = V939020. assign V650639 = V347288. assign V210737 = V438153 + 1. assign V364811 = V608829 + 1. assign V011376 = V216402 + 1. assign V168442 = V634254 - 1. assign V210167 = V939020 + 1. assign V870998 = V564703. assign V506046 = V077351 + 1. assign V457284 = V347288 - 1. assign V690108 = V634254. assign V404968 = V808293 + 1. assign V803090 = V505951.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V986123 = V665476 + 1. assign V228165 = V843514 - 1. assign V608829 = V505951. assign V304886 = V968049 - 1. assign V623289 = V813295 - 1. assign V987416 = V019922 - 1. assign V589328 = V825899 + 1. assign V276505 = V980971. assign V301573 = V831367 + 1. assign V019922 = V843514. assign V142336 = V423311 - 1. assign V808293 = V077351. assign V648719 = V980164 - 1. assign V813295 = V329571 - 1. assign V423311 = V939020 - 1. assign V968049 = V427205. assign V438153 = V843514 - 1. assign V273437 = V977008. assign V447316 = V228165. assign V943516 = V608829. assign V999133 = V427205 + 1. assign V473511 = V228165 + 1. assign V421583 = V871310. assign V329571 = V304454 + 1. assign V536672 = V276505. assign V291815 = V213638. assign V471246 = V222744 + 1. assign V593124 = V329571 + 1. assign V251127 = V831367. assign V299458 = V723969 - 1. assign V574383 = V210024. assign V414092 = V965456. assign V555570 = V831367. assign V099037 = V210024 + 1. assign V797682 = V870717. assign V597149 = V195910. assign V702664 = V438153. assign V762507 = V843514 + 1. assign V205472 = V071599 - 1. assign V654378 = V251127. assign V751058 = V301573 + 1. assign V965456 = V764097. assign V028792 = V077351 + 1. assign V164995 = V221204 + 1. assign V586038 = V210024 - 1. assign V624806 = V141907 + 1. assign V990493 = V968049. assign V900403 = V505951 - 1. assign V666357 = V966235. assign V577672 = V276505 - 1. assign V294759 = V542006. assign V040111 = V505951 + 1. assign V994625 = V825899 + 1. assign V429548 = V999133 + 1. assign V549033 = V149497 - 1. assign V537344 = V900403 - 1. assign V992658 = V364811 - 1. assign V980164 = V762507 + 1. assign V731635 = V130300 + 1. assign V402937 = V639662 - 1. assign V871310 = V702664 + 1. assign V143308 = V164995. assign V421110 = V249922 + 1. assign V820795 = V923236 - 1. assign V141907 = V304886. assign V262216 = V634532. assign V802291 = V723969. assign V385996 = V690108. assign V665476 = V159728 + 1. assign V149497 = V347288 - 1. assign V634254 = V843514 - 1. assign V542006 = V423311. assign V476796 = V555570. assign V293532 = V999133 - 1. assign V875097 = V213638 - 1. assign V966235 = V690108 - 1. assign V420367 = V028792. assign V809837 = V222744 - 1. assign V628981 = V803090. assign V127388 = V690886. assign V997387 = V586038 - 1. assign V195910 = V421110 + 1. assign V184738 = V427205. assign V520532 = V764097 + 1. assign V448235 = V634532 + 1. assign V159728 = V942594 + 1. assign V939020 = V304454 + 1. assign V419031 = V099037 - 1. assign V923236 = V555570. assign V892702 = V623289 + 1. assign V114261 = V831367 + 1. assign V249922 = V634254 - 1. assign V663973 = V634730. assign V644356 = V011376. assign V213638 = V077351. assign V222744 = V213638 - 1. assign V388882 = V235835 + 1. assign V825899 = V813295. assign V564703 = V429548 + 1. assign V077351 = V634254 - 1. assign V455843 = V977008 + 1. assign V077330 = V623289 + 1. assign V478292 = V966235. assign V196678 = V987416 - 1. assign V006591 = V634532 + 1. assign V848084 = V195910 + 1. assign V248060 = V623289. assign V288365 = V613200. assign V584225 = V204287 - 1. assign V015491 = V347288 + 1. assign V270863 = V987416. assign V221204 = V848084 - 1. assign V781480 = V690108 - 1. assign V970960 = V304886. assign V130300 = V848084. assign V162685 = V537344 + 1. assign V071599 = V099037 - 1. assign V558523 = V159728 + 1. assign V783389 = V564703. assign V574659 = V942594 + 1. assign V111222 = V019922. assign V980971 = V999133 + 1. assign V514680 = V099037. assign V216402 = V359578. assign V322998 = V803090. assign V374175 = V213638. assign V505951 = V843514 + 1. assign V723969 = V650639. assign V252602 = V634532 + 1. assign V125827 = V149497 + 1. assign V226232 = V149497 - 1. assign V909265 = V650639. assign V613200 = V159728 + 1. assign V204287 = 9. assign V677382 = V226232. assign V843514 = V999133. assign V572736 = V028792. assign V347288 = V813295 + 1. assign V977008 = V943516 - 1. assign V224696 = V797682 - 1. assign V870717 = V537344 - 1. assign V386892 = V304454. assign V450657 = V329571 + 1. assign V831367 = V690886 + 1. assign V690886 = V329571. assign V235835 = V564703 - 1. assign V968406 = V870717 - 1. assign V755101 = V427205. assign V359578 = V966235 - 1. assign V634730 = V870717 - 1. assign V210024 = V421110. assign V609634 = V797682. assign V573730 = V149497. assign V634532 = V564703 + 1. assign V969342 = V141907 - 1. assign V764097 = V843514 + 1. assign V136586 = V577672. assign V304454 = V427205. assign V639662 = V386892. assign V942594 = V939020. assign V650639 = V347288. assign V210737 = V438153 + 1. assign V364811 = V608829 + 1. assign V011376 = V216402 + 1. assign V168442 = V634254 - 1. assign V210167 = V939020 + 1. assign V870998 = V564703. assign V506046 = V077351 + 1. assign V457284 = V347288 - 1. assign V690108 = V634254. assign V404968 = V808293 + 1. assign V803090 = V505951.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV204287 = 9;\n\nFrom these direct assignment(s), we have: \nV584225 = V204287 - 1 = 9 - 1 =8;\nNo other variables can be derived from V584225;\nNo other variables can be derived from V204287;\n\nNow we have done all the calculations. Derived variables are:\nV204287 = 9;\nV584225 = 8;\n\nNow we have finished this problem. ANSWER:\nV204287\n", "role": "assistant" } ]

[ "V268712" ]

[ { "content": "<context>\nassign V354977 = V554942 - 1. assign V648731 = V150067 - 1. assign V233710 = V140506. assign V471378 = V305897 - 1. assign V922614 = V641089 + 1. assign V726495 = V424492 + 1. assign V103861 = V937950. assign V055823 = V162674. assign V908107 = V937950 - 1. assign V866388 = V565039 - 1. assign V519395 = V158505. assign V484749 = V778371 + 1. assign V918337 = V031845 + 1. assign V565039 = V675250 + 1. assign V045651 = V185931 + 1. assign V585557 = V029865 - 1. assign V158505 = V050587. assign V593777 = V707665 - 1. assign V365574 = V886166. assign V170358 = V530182. assign V516952 = V937950 - 1. assign V135389 = V185931. assign V941318 = V135389 - 1. assign V400669 = V313992 - 1. assign V705600 = V242302 + 1. assign V641089 = V819667 + 1. assign V675250 = V316527 - 1. assign V330368 = V316527 + 1. assign V716873 = V305897 + 1. assign V185931 = V697050 + 1. assign V344775 = V358478. assign V829645 = V275072. assign V909283 = V675250 - 1. assign V732269 = V213876 - 1. assign V307151 = V890577. assign V665757 = V547534. assign V692187 = V155886 + 1. assign V543610 = V268712 - 1. assign V339026 = V150067 + 1. assign V086434 = V819667. assign V004065 = V029865 + 1. assign V190745 = V026963 - 1. assign V498406 = V811848 + 1. assign V321389 = V959208. assign V313992 = V026963 + 1. assign V447482 = V715716. assign V696451 = V155886. assign V697743 = V160548 + 1. assign V840448 = V875691. assign V424492 = V757292 - 1. assign V487658 = V384204 + 1. assign V472425 = V362406 - 1. assign V140506 = V547534. assign V942401 = V242302. assign V948608 = V275072 - 1. assign V242302 = V058051 - 1. assign V058051 = V150067 - 1. assign V969436 = V140506 + 1. assign V466730 = V942401. assign V384204 = V757292. assign V213876 = V606518 - 1. assign V416954 = V300541 + 1. assign V749439 = V697050. assign V703503 = V400669. assign V551348 = V875691. assign V721886 = V886166 + 1. assign V021613 = V886166 - 1. assign V397759 = V160548. assign V029865 = V026963 - 1. assign V711837 = V840448 + 1. assign V156012 = V838727 - 1. assign V034393 = V969436. assign V911683 = V959208 - 1. assign V056010 = V724506. assign V512302 = V648731 + 1. assign V875691 = V171388 + 1. assign V739550 = V393458 - 1. assign V757292 = V316527 + 1. assign V732406 = V943859 - 1. assign V387035 = V242302 - 1. assign V061950 = V050587. assign V057219 = V707665 + 1. assign V031845 = V171388 - 1. assign V697050 = V190745 + 1. assign V320680 = V829645 - 1. assign V661198 = V447482. assign V707665 = V715716. assign V026963 = V316527 + 1. assign V155886 = V275072 - 1. assign V971286 = V424492 + 1. assign V385236 = V190745 + 1. assign V039719 = V547534. assign V838727 = V339026 - 1. assign V724506 = V519395 + 1. assign V274242 = V845495 - 1. assign V890577 = V875691. assign V937950 = V050587 + 1. assign V757636 = V327090 - 1. assign V249132 = V908107. assign V044004 = V959208. assign V305897 = V811848 + 1. assign V819667 = V305897. assign V275072 = V675250. assign V536306 = V119458 + 1. assign V300541 = V155886 - 1. assign V816281 = V155886 + 1. assign V547534 = V757292 + 1. assign V778371 = V716873 - 1. assign V640051 = V339026. assign V947960 = V838727 - 1. assign V358065 = V724506 - 1. assign V198142 = V845495 + 1. assign V119458 = V162674. assign V345323 = V619674 - 1. assign V171388 = V937950 + 1. assign V886166 = V697050 - 1. assign V451367 = V716873 - 1. assign V456642 = V162674. assign V936650 = V339026 + 1. assign V994308 = V057219 - 1. assign V004846 = V011252 - 1. assign V985913 = V664191. assign V303959 = V705600 + 1. assign V160548 = V184838 - 1. assign V147723 = V248984 - 1. assign V606518 = V886166 - 1. assign V052535 = V547534 - 1. assign V248984 = V909283. assign V635135 = V547534 + 1. assign V661426 = V512302 - 1. assign V798064 = V345323 + 1. assign V150067 = V029865. assign V050587 = V757292 - 1. assign V048824 = V909283. assign V060200 = V185931 - 1. assign V959208 = V026963. assign V811848 = V026963. assign V413997 = V724506 - 1. assign V284845 = V140506 + 1. assign V763848 = V909283 + 1. assign V225939 = V692187 - 1. assign V683850 = V471378 + 1. assign V585165 = V160548 - 1. assign V845495 = V397759 + 1. assign V994255 = V811848. assign V748851 = V697050. assign V327090 = V909283 - 1. assign V530182 = V969436 + 1. assign V613384 = V937950. assign V664191 = V190745 + 1. assign V143774 = V313992. assign V184838 = V757292 - 1. assign V120702 = V275072 - 1. assign V619674 = V886166 - 1. assign V715716 = V959208 - 1. assign V362406 = V103861 + 1. assign V393458 = V798064 + 1. assign V995768 = V031845. assign V844319 = V184838 - 1. assign V150824 = V969436. assign V268712 = 3. assign V011252 = V819667. assign V401517 = V707665 + 1. assign V779208 = V890577 - 1. assign V358478 = V233710 + 1. assign V943859 = V875691 - 1. assign V757410 = V313992. assign V162674 = V675250 + 1. assign V053571 = V696451 + 1. assign V210717 = V313992 - 1. assign V554942 = V606518. assign V468736 = V675250 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V354977 = V554942 - 1. assign V648731 = V150067 - 1. assign V233710 = V140506. assign V471378 = V305897 - 1. assign V922614 = V641089 + 1. assign V726495 = V424492 + 1. assign V103861 = V937950. assign V055823 = V162674. assign V908107 = V937950 - 1. assign V866388 = V565039 - 1. assign V519395 = V158505. assign V484749 = V778371 + 1. assign V918337 = V031845 + 1. assign V565039 = V675250 + 1. assign V045651 = V185931 + 1. assign V585557 = V029865 - 1. assign V158505 = V050587. assign V593777 = V707665 - 1. assign V365574 = V886166. assign V170358 = V530182. assign V516952 = V937950 - 1. assign V135389 = V185931. assign V941318 = V135389 - 1. assign V400669 = V313992 - 1. assign V705600 = V242302 + 1. assign V641089 = V819667 + 1. assign V675250 = V316527 - 1. assign V330368 = V316527 + 1. assign V716873 = V305897 + 1. assign V185931 = V697050 + 1. assign V344775 = V358478. assign V829645 = V275072. assign V909283 = V675250 - 1. assign V732269 = V213876 - 1. assign V307151 = V890577. assign V665757 = V547534. assign V692187 = V155886 + 1. assign V543610 = V268712 - 1. assign V339026 = V150067 + 1. assign V086434 = V819667. assign V004065 = V029865 + 1. assign V190745 = V026963 - 1. assign V498406 = V811848 + 1. assign V321389 = V959208. assign V313992 = V026963 + 1. assign V447482 = V715716. assign V696451 = V155886. assign V697743 = V160548 + 1. assign V840448 = V875691. assign V424492 = V757292 - 1. assign V487658 = V384204 + 1. assign V472425 = V362406 - 1. assign V140506 = V547534. assign V942401 = V242302. assign V948608 = V275072 - 1. assign V242302 = V058051 - 1. assign V058051 = V150067 - 1. assign V969436 = V140506 + 1. assign V466730 = V942401. assign V384204 = V757292. assign V213876 = V606518 - 1. assign V416954 = V300541 + 1. assign V749439 = V697050. assign V703503 = V400669. assign V551348 = V875691. assign V721886 = V886166 + 1. assign V021613 = V886166 - 1. assign V397759 = V160548. assign V029865 = V026963 - 1. assign V711837 = V840448 + 1. assign V156012 = V838727 - 1. assign V034393 = V969436. assign V911683 = V959208 - 1. assign V056010 = V724506. assign V512302 = V648731 + 1. assign V875691 = V171388 + 1. assign V739550 = V393458 - 1. assign V757292 = V316527 + 1. assign V732406 = V943859 - 1. assign V387035 = V242302 - 1. assign V061950 = V050587. assign V057219 = V707665 + 1. assign V031845 = V171388 - 1. assign V697050 = V190745 + 1. assign V320680 = V829645 - 1. assign V661198 = V447482. assign V707665 = V715716. assign V026963 = V316527 + 1. assign V155886 = V275072 - 1. assign V971286 = V424492 + 1. assign V385236 = V190745 + 1. assign V039719 = V547534. assign V838727 = V339026 - 1. assign V724506 = V519395 + 1. assign V274242 = V845495 - 1. assign V890577 = V875691. assign V937950 = V050587 + 1. assign V757636 = V327090 - 1. assign V249132 = V908107. assign V044004 = V959208. assign V305897 = V811848 + 1. assign V819667 = V305897. assign V275072 = V675250. assign V536306 = V119458 + 1. assign V300541 = V155886 - 1. assign V816281 = V155886 + 1. assign V547534 = V757292 + 1. assign V778371 = V716873 - 1. assign V640051 = V339026. assign V947960 = V838727 - 1. assign V358065 = V724506 - 1. assign V198142 = V845495 + 1. assign V119458 = V162674. assign V345323 = V619674 - 1. assign V171388 = V937950 + 1. assign V886166 = V697050 - 1. assign V451367 = V716873 - 1. assign V456642 = V162674. assign V936650 = V339026 + 1. assign V994308 = V057219 - 1. assign V004846 = V011252 - 1. assign V985913 = V664191. assign V303959 = V705600 + 1. assign V160548 = V184838 - 1. assign V147723 = V248984 - 1. assign V606518 = V886166 - 1. assign V052535 = V547534 - 1. assign V248984 = V909283. assign V635135 = V547534 + 1. assign V661426 = V512302 - 1. assign V798064 = V345323 + 1. assign V150067 = V029865. assign V050587 = V757292 - 1. assign V048824 = V909283. assign V060200 = V185931 - 1. assign V959208 = V026963. assign V811848 = V026963. assign V413997 = V724506 - 1. assign V284845 = V140506 + 1. assign V763848 = V909283 + 1. assign V225939 = V692187 - 1. assign V683850 = V471378 + 1. assign V585165 = V160548 - 1. assign V845495 = V397759 + 1. assign V994255 = V811848. assign V748851 = V697050. assign V327090 = V909283 - 1. assign V530182 = V969436 + 1. assign V613384 = V937950. assign V664191 = V190745 + 1. assign V143774 = V313992. assign V184838 = V757292 - 1. assign V120702 = V275072 - 1. assign V619674 = V886166 - 1. assign V715716 = V959208 - 1. assign V362406 = V103861 + 1. assign V393458 = V798064 + 1. assign V995768 = V031845. assign V844319 = V184838 - 1. assign V150824 = V969436. assign V268712 = 3. assign V011252 = V819667. assign V401517 = V707665 + 1. assign V779208 = V890577 - 1. assign V358478 = V233710 + 1. assign V943859 = V875691 - 1. assign V757410 = V313992. assign V162674 = V675250 + 1. assign V053571 = V696451 + 1. assign V210717 = V313992 - 1. assign V554942 = V606518. assign V468736 = V675250 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV268712 = 3;\n\nFrom these direct assignment(s), we have: \nV543610 = V268712 - 1 = 3 - 1 =2;\nNo other variables can be derived from V543610;\nNo other variables can be derived from V268712;\n\nNow we have done all the calculations. Derived variables are:\nV268712 = 3;\nV543610 = 2;\n\nNow we have finished this problem. ANSWER:\nV268712\n", "role": "assistant" } ]

[ "V464455" ]

[ { "content": "<context>\nassign V520058 = V284538 + 1. assign V175241 = V748716. assign V788436 = V801049 - 1. assign V307773 = V832107 + 1. assign V578787 = V005998 - 1. assign V456656 = V839415 + 1. assign V801049 = V150901 + 1. assign V968581 = V686735 + 1. assign V595191 = V187900. assign V863298 = V065246. assign V617086 = V216499 + 1. assign V539253 = V370533 - 1. assign V082732 = V727033. assign V124465 = V012346 + 1. assign V839415 = V116010 - 1. assign V554628 = V517489. assign V284538 = V517489. assign V764969 = V758115 + 1. assign V851913 = V305970. assign V712030 = V739988 - 1. assign V478530 = V963481 - 1. assign V838961 = V517489 - 1. assign V879640 = V764969 - 1. assign V870614 = V963481 + 1. assign V169329 = V539028. assign V880494 = V061500 - 1. assign V959623 = V061500. assign V185221 = V602070 - 1. assign V597658 = V509353. assign V955336 = V710037 + 1. assign V721553 = V578787. assign V026976 = V578787 + 1. assign V005981 = V552225. assign V649789 = V369892 - 1. assign V667416 = V819945 + 1. assign V884274 = V187900. assign V285467 = V801049 - 1. assign V859446 = V008035 + 1. assign V459780 = V947208 - 1. assign V818333 = V758115 - 1. assign V740455 = V082732 + 1. assign V369892 = V512987. assign V605327 = V801049. assign V316442 = V667416 - 1. assign V070161 = V449954 + 1. assign V254612 = V517489 + 1. assign V866409 = V012346. assign V758115 = V517489 - 1. assign V937853 = V517489 - 1. assign V719870 = V001914 - 1. assign V253745 = V578787 - 1. assign V565657 = V053121. assign V562336 = V838961 + 1. assign V216499 = V819945 + 1. assign V770741 = V216499. assign V831596 = V005981. assign V580433 = V417782 + 1. assign V724035 = V942468 + 1. assign V748716 = V421412 + 1. assign V817220 = V070161. assign V567230 = V464455 - 1. assign V109508 = V012346. assign V267339 = V552225. assign V710037 = V963481 - 1. assign V648365 = V234038. assign V065246 = V470849 + 1. assign V121891 = V578787 + 1. assign V001914 = V187900. assign V588755 = V678930 + 1. assign V139192 = V284538 - 1. assign V012346 = V595191 + 1. assign V678930 = V014846. assign V150901 = V111665 - 1. assign V622908 = V130966. assign V655192 = V014846. assign V079939 = V124465 + 1. assign V094366 = V005981. assign V950565 = V890171 - 1. assign V357217 = V807392 + 1. assign V234038 = V070161 - 1. assign V370533 = V187900 - 1. assign V539028 = V578787 - 1. assign V914459 = V818333. assign V963481 = V481729. assign V892701 = V234038. assign V107915 = V130966. assign V762066 = V719870 - 1. assign V223025 = V082693. assign V602070 = V466167 + 1. assign V647754 = V929037 - 1. assign V480673 = V369892. assign V305970 = V527496. assign V339703 = V096989 - 1. assign V907939 = V770741. assign V107067 = V175241 - 1. assign V464455 = 9. assign V952638 = V890171 - 1. assign V005998 = V005981. assign V325890 = V892701 - 1. assign V015968 = V111665. assign V171838 = V449954. assign V464395 = V012346. assign V256393 = V602070 - 1. assign V703629 = V466167 + 1. assign V193466 = V001914. assign V739988 = V008035 - 1. assign V370067 = V061500 - 1. assign V116010 = V150901 - 1. assign V061500 = V008035 + 1. assign V449954 = V267339. assign V689488 = V801049. assign V856833 = V967761. assign V235329 = V727033 - 1. assign V552225 = V150901 + 1. assign V167548 = V748716. assign V014846 = V449954. assign V819945 = V595191. assign V294527 = V890171. assign V510891 = V082693 - 1. assign V517489 = V111665 - 1. assign V942468 = V859446 + 1. assign V832107 = V082693. assign V929037 = V053121 - 1. assign V509353 = V015968. assign V741077 = V838961 - 1. assign V933681 = V509353 + 1. assign V466167 = V015968 - 1. assign V608245 = V082732 - 1. assign V421412 = V254612 + 1. assign V727033 = V617086 - 1. assign V301573 = V740455 - 1. assign V696997 = V285467. assign V780369 = V456656. assign V417782 = V554628 + 1. assign V890171 = V082693. assign V686735 = V305970. assign V527496 = V517489 - 1. assign V856134 = V107915. assign V484080 = V374084 - 1. assign V267211 = V740455 + 1. assign V333499 = V578787 + 1. assign V512987 = V770741. assign V306685 = V552225. assign V164317 = V552225 + 1. assign V096989 = V937853 - 1. assign V601116 = V012346 + 1. assign V053121 = V008035 + 1. assign V958980 = V517489 - 1. assign V933873 = V884274. assign V374084 = V169329. assign V425794 = V284538 + 1. assign V807392 = V686735. assign V187900 = V466167 + 1. assign V130966 = V539028. assign V009712 = V958980 - 1. assign V082693 = V150901. assign V684625 = V595191 + 1. assign V228135 = V963481 + 1. assign V008035 = V517489. assign V819914 = V648365. assign V481729 = V578787 + 1. assign V947208 = V253745 + 1. assign V306492 = V739988 + 1. assign V604426 = V008035. assign V178436 = V942468 + 1. assign V333470 = V807392 - 1. assign V922321 = V425794 + 1. assign V315307 = V539253. assign V060242 = V267339 - 1. assign V353410 = V801049. assign V967761 = V370533 + 1. assign V470849 = V421412.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V520058 = V284538 + 1. assign V175241 = V748716. assign V788436 = V801049 - 1. assign V307773 = V832107 + 1. assign V578787 = V005998 - 1. assign V456656 = V839415 + 1. assign V801049 = V150901 + 1. assign V968581 = V686735 + 1. assign V595191 = V187900. assign V863298 = V065246. assign V617086 = V216499 + 1. assign V539253 = V370533 - 1. assign V082732 = V727033. assign V124465 = V012346 + 1. assign V839415 = V116010 - 1. assign V554628 = V517489. assign V284538 = V517489. assign V764969 = V758115 + 1. assign V851913 = V305970. assign V712030 = V739988 - 1. assign V478530 = V963481 - 1. assign V838961 = V517489 - 1. assign V879640 = V764969 - 1. assign V870614 = V963481 + 1. assign V169329 = V539028. assign V880494 = V061500 - 1. assign V959623 = V061500. assign V185221 = V602070 - 1. assign V597658 = V509353. assign V955336 = V710037 + 1. assign V721553 = V578787. assign V026976 = V578787 + 1. assign V005981 = V552225. assign V649789 = V369892 - 1. assign V667416 = V819945 + 1. assign V884274 = V187900. assign V285467 = V801049 - 1. assign V859446 = V008035 + 1. assign V459780 = V947208 - 1. assign V818333 = V758115 - 1. assign V740455 = V082732 + 1. assign V369892 = V512987. assign V605327 = V801049. assign V316442 = V667416 - 1. assign V070161 = V449954 + 1. assign V254612 = V517489 + 1. assign V866409 = V012346. assign V758115 = V517489 - 1. assign V937853 = V517489 - 1. assign V719870 = V001914 - 1. assign V253745 = V578787 - 1. assign V565657 = V053121. assign V562336 = V838961 + 1. assign V216499 = V819945 + 1. assign V770741 = V216499. assign V831596 = V005981. assign V580433 = V417782 + 1. assign V724035 = V942468 + 1. assign V748716 = V421412 + 1. assign V817220 = V070161. assign V567230 = V464455 - 1. assign V109508 = V012346. assign V267339 = V552225. assign V710037 = V963481 - 1. assign V648365 = V234038. assign V065246 = V470849 + 1. assign V121891 = V578787 + 1. assign V001914 = V187900. assign V588755 = V678930 + 1. assign V139192 = V284538 - 1. assign V012346 = V595191 + 1. assign V678930 = V014846. assign V150901 = V111665 - 1. assign V622908 = V130966. assign V655192 = V014846. assign V079939 = V124465 + 1. assign V094366 = V005981. assign V950565 = V890171 - 1. assign V357217 = V807392 + 1. assign V234038 = V070161 - 1. assign V370533 = V187900 - 1. assign V539028 = V578787 - 1. assign V914459 = V818333. assign V963481 = V481729. assign V892701 = V234038. assign V107915 = V130966. assign V762066 = V719870 - 1. assign V223025 = V082693. assign V602070 = V466167 + 1. assign V647754 = V929037 - 1. assign V480673 = V369892. assign V305970 = V527496. assign V339703 = V096989 - 1. assign V907939 = V770741. assign V107067 = V175241 - 1. assign V464455 = 9. assign V952638 = V890171 - 1. assign V005998 = V005981. assign V325890 = V892701 - 1. assign V015968 = V111665. assign V171838 = V449954. assign V464395 = V012346. assign V256393 = V602070 - 1. assign V703629 = V466167 + 1. assign V193466 = V001914. assign V739988 = V008035 - 1. assign V370067 = V061500 - 1. assign V116010 = V150901 - 1. assign V061500 = V008035 + 1. assign V449954 = V267339. assign V689488 = V801049. assign V856833 = V967761. assign V235329 = V727033 - 1. assign V552225 = V150901 + 1. assign V167548 = V748716. assign V014846 = V449954. assign V819945 = V595191. assign V294527 = V890171. assign V510891 = V082693 - 1. assign V517489 = V111665 - 1. assign V942468 = V859446 + 1. assign V832107 = V082693. assign V929037 = V053121 - 1. assign V509353 = V015968. assign V741077 = V838961 - 1. assign V933681 = V509353 + 1. assign V466167 = V015968 - 1. assign V608245 = V082732 - 1. assign V421412 = V254612 + 1. assign V727033 = V617086 - 1. assign V301573 = V740455 - 1. assign V696997 = V285467. assign V780369 = V456656. assign V417782 = V554628 + 1. assign V890171 = V082693. assign V686735 = V305970. assign V527496 = V517489 - 1. assign V856134 = V107915. assign V484080 = V374084 - 1. assign V267211 = V740455 + 1. assign V333499 = V578787 + 1. assign V512987 = V770741. assign V306685 = V552225. assign V164317 = V552225 + 1. assign V096989 = V937853 - 1. assign V601116 = V012346 + 1. assign V053121 = V008035 + 1. assign V958980 = V517489 - 1. assign V933873 = V884274. assign V374084 = V169329. assign V425794 = V284538 + 1. assign V807392 = V686735. assign V187900 = V466167 + 1. assign V130966 = V539028. assign V009712 = V958980 - 1. assign V082693 = V150901. assign V684625 = V595191 + 1. assign V228135 = V963481 + 1. assign V008035 = V517489. assign V819914 = V648365. assign V481729 = V578787 + 1. assign V947208 = V253745 + 1. assign V306492 = V739988 + 1. assign V604426 = V008035. assign V178436 = V942468 + 1. assign V333470 = V807392 - 1. assign V922321 = V425794 + 1. assign V315307 = V539253. assign V060242 = V267339 - 1. assign V353410 = V801049. assign V967761 = V370533 + 1. assign V470849 = V421412.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV464455 = 9;\n\nFrom these direct assignment(s), we have: \nV567230 = V464455 - 1 = 9 - 1 =8;\nNo other variables can be derived from V567230;\nNo other variables can be derived from V464455;\n\nNow we have done all the calculations. Derived variables are:\nV464455 = 9;\nV567230 = 8;\n\nNow we have finished this problem. ANSWER:\nV464455\n", "role": "assistant" } ]

[ "V630225" ]

[ { "content": "<context>\nassign V898899 = V147859 + 1. assign V819434 = V067994 - 1. assign V901184 = V718768 - 1. assign V155281 = V265869 - 1. assign V683695 = V385352. assign V091945 = V385352. assign V075319 = V917839 - 1. assign V952400 = V597968. assign V024604 = V360186 + 1. assign V143946 = V926524 - 1. assign V313714 = V067994 + 1. assign V191513 = V638709 + 1. assign V863102 = V818716 + 1. assign V879598 = V400572. assign V638709 = V258578. assign V932480 = V508909 - 1. assign V785037 = V638709. assign V336323 = V154775 - 1. assign V173910 = V725656 + 1. assign V686658 = V714032 - 1. assign V003852 = V109016. assign V399941 = V509394 + 1. assign V258578 = V582094 + 1. assign V566956 = V265869 - 1. assign V654633 = V029964 - 1. assign V207743 = V121557 - 1. assign V688570 = V154775 + 1. assign V983169 = V571937 + 1. assign V808758 = V928644 + 1. assign V109016 = V901184. assign V344611 = V487304 - 1. assign V046988 = V658808 + 1. assign V265504 = V688570 + 1. assign V618668 = V540095 + 1. assign V356759 = V683695 - 1. assign V597968 = V331469. assign V631548 = V837348 + 1. assign V990347 = V265869 - 1. assign V788678 = V109016 + 1. assign V971657 = V109016 + 1. assign V487304 = V266817 + 1. assign V666048 = V222749 - 1. assign V394406 = V367904. assign V325261 = V695011. assign V837348 = V571937 + 1. assign V331469 = V367904. assign V343656 = V878474 + 1. assign V946128 = V487304. assign V222749 = V143946 + 1. assign V607061 = V399941 + 1. assign V367904 = V344719 + 1. assign V818716 = V837348. assign V781977 = V714032 + 1. assign V377553 = V075319 + 1. assign V400572 = V331469. assign V593634 = V714032. assign V878474 = V234467. assign V369841 = V773872. assign V219328 = V144873 - 1. assign V694047 = V280074 + 1. assign V659276 = V075319. assign V695011 = V614661 - 1. assign V299220 = V228725 - 1. assign V325474 = V067994. assign V926524 = V718768 - 1. assign V369304 = V133766 + 1. assign V259260 = V265869 + 1. assign V113215 = V630225 - 1. assign V321459 = V071661. assign V344719 = V714032. assign V725656 = V109016. assign V891536 = V774667. assign V087467 = V631548 + 1. assign V811562 = V917839 - 1. assign V843939 = V582094 - 1. assign V402299 = V631548. assign V234467 = V714032 + 1. assign V009982 = V280074 - 1. assign V146193 = V694047 - 1. assign V774667 = V648408 + 1. assign V296610 = V813312. assign V154775 = V109016 + 1. assign V228725 = V614661 + 1. assign V295037 = V356506. assign V356506 = V540095 + 1. assign V251942 = V155281 + 1. assign V808812 = V582094 + 1. assign V050229 = V280074. assign V731719 = V360186 + 1. assign V937261 = V173910 + 1. assign V508909 = V597968 - 1. assign V645886 = V331469 - 1. assign V582094 = V344719. assign V300097 = V937261 - 1. assign V956600 = V071661 - 1. assign V718768 = V487304 - 1. assign V571937 = V971657 + 1. assign V658808 = V146193 - 1. assign V686488 = V659276 - 1. assign V749601 = V266817 + 1. assign V616790 = V075319 + 1. assign V509394 = V971657. assign V209124 = V344719 - 1. assign V208148 = V616790. assign V526374 = V343656 + 1. assign V844789 = V694047 - 1. assign V133766 = V645886 + 1. assign V205183 = V313714 - 1. assign V905523 = V133766. assign V121557 = V288678 - 1. assign V147859 = V343656 + 1. assign V936287 = V344719 + 1. assign V170911 = V325261 - 1. assign V982373 = V344611 - 1. assign V027697 = V694047 + 1. assign V520558 = V331469. assign V602988 = V220851 + 1. assign V823061 = V928644 + 1. assign V360186 = V971657 + 1. assign V419894 = V844789. assign V275007 = V844906. assign V336046 = V180761 + 1. assign V209227 = V638709. assign V614661 = V367904. assign V783620 = V144873 - 1. assign V648408 = V067994 + 1. assign V831646 = V658808 + 1. assign V540095 = V360186 + 1. assign V385352 = V694047 - 1. assign V843387 = V990347. assign V265869 = V400572 + 1. assign V784752 = V694047. assign V266817 = V714032 + 1. assign V029964 = V648408 + 1. assign V652370 = V659276 + 1. assign V304149 = V121557. assign V024597 = V952400 + 1. assign V369509 = V872387 - 1. assign V709812 = V300097 + 1. assign V630225 = 9. assign V688476 = V773872 - 1. assign V280074 = V487304 + 1. assign V110617 = V173910 + 1. assign V954242 = V209227 + 1. assign V079451 = V027697 + 1. assign V288678 = V219328 + 1. assign V773872 = V872387 - 1. assign V987133 = V917839. assign V917839 = V367904 + 1. assign V180761 = V872387 + 1. assign V144873 = V928644. assign V844906 = V228725 + 1. assign V699099 = V645886 + 1. assign V628065 = V928644 + 1. assign V055746 = V024597. assign V475891 = V773872. assign V880577 = V509394 - 1. assign V071661 = V400572 - 1. assign V821312 = V109016 + 1. assign V813312 = V071661. assign V950495 = V146193. assign V356499 = V110617 - 1. assign V872387 = V971657 - 1. assign V107677 = V325474 + 1. assign V315881 = V749601. assign V262064 = V050229 + 1. assign V275674 = V813312. assign V191869 = V952400 - 1. assign V067994 = V788678. assign V220851 = V509394 - 1. assign V928644 = V718768 + 1. assign V253815 = V146193 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V898899 = V147859 + 1. assign V819434 = V067994 - 1. assign V901184 = V718768 - 1. assign V155281 = V265869 - 1. assign V683695 = V385352. assign V091945 = V385352. assign V075319 = V917839 - 1. assign V952400 = V597968. assign V024604 = V360186 + 1. assign V143946 = V926524 - 1. assign V313714 = V067994 + 1. assign V191513 = V638709 + 1. assign V863102 = V818716 + 1. assign V879598 = V400572. assign V638709 = V258578. assign V932480 = V508909 - 1. assign V785037 = V638709. assign V336323 = V154775 - 1. assign V173910 = V725656 + 1. assign V686658 = V714032 - 1. assign V003852 = V109016. assign V399941 = V509394 + 1. assign V258578 = V582094 + 1. assign V566956 = V265869 - 1. assign V654633 = V029964 - 1. assign V207743 = V121557 - 1. assign V688570 = V154775 + 1. assign V983169 = V571937 + 1. assign V808758 = V928644 + 1. assign V109016 = V901184. assign V344611 = V487304 - 1. assign V046988 = V658808 + 1. assign V265504 = V688570 + 1. assign V618668 = V540095 + 1. assign V356759 = V683695 - 1. assign V597968 = V331469. assign V631548 = V837348 + 1. assign V990347 = V265869 - 1. assign V788678 = V109016 + 1. assign V971657 = V109016 + 1. assign V487304 = V266817 + 1. assign V666048 = V222749 - 1. assign V394406 = V367904. assign V325261 = V695011. assign V837348 = V571937 + 1. assign V331469 = V367904. assign V343656 = V878474 + 1. assign V946128 = V487304. assign V222749 = V143946 + 1. assign V607061 = V399941 + 1. assign V367904 = V344719 + 1. assign V818716 = V837348. assign V781977 = V714032 + 1. assign V377553 = V075319 + 1. assign V400572 = V331469. assign V593634 = V714032. assign V878474 = V234467. assign V369841 = V773872. assign V219328 = V144873 - 1. assign V694047 = V280074 + 1. assign V659276 = V075319. assign V695011 = V614661 - 1. assign V299220 = V228725 - 1. assign V325474 = V067994. assign V926524 = V718768 - 1. assign V369304 = V133766 + 1. assign V259260 = V265869 + 1. assign V113215 = V630225 - 1. assign V321459 = V071661. assign V344719 = V714032. assign V725656 = V109016. assign V891536 = V774667. assign V087467 = V631548 + 1. assign V811562 = V917839 - 1. assign V843939 = V582094 - 1. assign V402299 = V631548. assign V234467 = V714032 + 1. assign V009982 = V280074 - 1. assign V146193 = V694047 - 1. assign V774667 = V648408 + 1. assign V296610 = V813312. assign V154775 = V109016 + 1. assign V228725 = V614661 + 1. assign V295037 = V356506. assign V356506 = V540095 + 1. assign V251942 = V155281 + 1. assign V808812 = V582094 + 1. assign V050229 = V280074. assign V731719 = V360186 + 1. assign V937261 = V173910 + 1. assign V508909 = V597968 - 1. assign V645886 = V331469 - 1. assign V582094 = V344719. assign V300097 = V937261 - 1. assign V956600 = V071661 - 1. assign V718768 = V487304 - 1. assign V571937 = V971657 + 1. assign V658808 = V146193 - 1. assign V686488 = V659276 - 1. assign V749601 = V266817 + 1. assign V616790 = V075319 + 1. assign V509394 = V971657. assign V209124 = V344719 - 1. assign V208148 = V616790. assign V526374 = V343656 + 1. assign V844789 = V694047 - 1. assign V133766 = V645886 + 1. assign V205183 = V313714 - 1. assign V905523 = V133766. assign V121557 = V288678 - 1. assign V147859 = V343656 + 1. assign V936287 = V344719 + 1. assign V170911 = V325261 - 1. assign V982373 = V344611 - 1. assign V027697 = V694047 + 1. assign V520558 = V331469. assign V602988 = V220851 + 1. assign V823061 = V928644 + 1. assign V360186 = V971657 + 1. assign V419894 = V844789. assign V275007 = V844906. assign V336046 = V180761 + 1. assign V209227 = V638709. assign V614661 = V367904. assign V783620 = V144873 - 1. assign V648408 = V067994 + 1. assign V831646 = V658808 + 1. assign V540095 = V360186 + 1. assign V385352 = V694047 - 1. assign V843387 = V990347. assign V265869 = V400572 + 1. assign V784752 = V694047. assign V266817 = V714032 + 1. assign V029964 = V648408 + 1. assign V652370 = V659276 + 1. assign V304149 = V121557. assign V024597 = V952400 + 1. assign V369509 = V872387 - 1. assign V709812 = V300097 + 1. assign V630225 = 9. assign V688476 = V773872 - 1. assign V280074 = V487304 + 1. assign V110617 = V173910 + 1. assign V954242 = V209227 + 1. assign V079451 = V027697 + 1. assign V288678 = V219328 + 1. assign V773872 = V872387 - 1. assign V987133 = V917839. assign V917839 = V367904 + 1. assign V180761 = V872387 + 1. assign V144873 = V928644. assign V844906 = V228725 + 1. assign V699099 = V645886 + 1. assign V628065 = V928644 + 1. assign V055746 = V024597. assign V475891 = V773872. assign V880577 = V509394 - 1. assign V071661 = V400572 - 1. assign V821312 = V109016 + 1. assign V813312 = V071661. assign V950495 = V146193. assign V356499 = V110617 - 1. assign V872387 = V971657 - 1. assign V107677 = V325474 + 1. assign V315881 = V749601. assign V262064 = V050229 + 1. assign V275674 = V813312. assign V191869 = V952400 - 1. assign V067994 = V788678. assign V220851 = V509394 - 1. assign V928644 = V718768 + 1. assign V253815 = V146193 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV630225 = 9;\n\nFrom these direct assignment(s), we have: \nV113215 = V630225 - 1 = 9 - 1 =8;\nNo other variables can be derived from V113215;\nNo other variables can be derived from V630225;\n\nNow we have done all the calculations. Derived variables are:\nV630225 = 9;\nV113215 = 8;\n\nNow we have finished this problem. ANSWER:\nV630225\n", "role": "assistant" } ]

[ "V901132", "V483445" ]

[ { "content": "<context>\nassign V859065 = V139379. assign V446188 = V865045 - 1. assign V185329 = V234694. assign V643322 = V033183. assign V865045 = V175875. assign V794444 = V724298 + 1. assign V471094 = V947885. assign V665733 = V947885 - 1. assign V559369 = V676586. assign V121692 = V056600. assign V139655 = V724298 - 1. assign V882512 = V947885 + 1. assign V736768 = V724298 + 1. assign V542117 = V691598. assign V855945 = V916616 + 1. assign V883662 = V859065 - 1. assign V710830 = V468427 + 1. assign V429458 = V352909 + 1. assign V282288 = V376791. assign V304730 = V533017 - 1. assign V425863 = V584151. assign V224819 = V978836 - 1. assign V284624 = V978836. assign V352909 = V162688 - 1. assign V852784 = V464946 + 1. assign V136932 = V566667 - 1. assign V009745 = V265414 - 1. assign V916616 = V359111 + 1. assign V233967 = V629427 + 1. assign V960516 = V531268. assign V358501 = V643677. assign V992893 = V122272. assign V954635 = V372158 - 1. assign V139379 = V606497 - 1. assign V566044 = V359111. assign V807139 = V954635. assign V763490 = V051419. assign V364357 = V995370. assign V644476 = V206086. assign V295620 = V175875. assign V200592 = V756974 - 1. assign V995370 = V372158 - 1. assign V675365 = V978836 + 1. assign V503611 = V162688. assign V518491 = V139379. assign V140777 = V922797 + 1. assign V226123 = V642504 - 1. assign V474606 = V444327 + 1. assign V643677 = V758566. assign V526856 = V468427. assign V560530 = V981822. assign V629427 = V308367 - 1. assign V911000 = V376791. assign V606497 = V927289. assign V142789 = V535706. assign V642504 = V327567 - 1. assign V376791 = V056600 - 1. assign V381639 = V724298. assign V995517 = V444327 + 1. assign V566667 = V350532 + 1. assign V206086 = V690010 + 1. assign V622036 = V521361 + 1. assign V130172 = V265493. assign V690010 = V588862 + 1. assign V927289 = V065208 + 1. assign V584151 = V927289 + 1. assign V611134 = V140777 + 1. assign V218062 = V162688 + 1. assign V384599 = V756974. assign V772361 = V350532 + 1. assign V611663 = V865045. assign V824556 = V162688 + 1. assign V294879 = V670858 - 1. assign V756974 = V947885. assign V229955 = V535706. assign V065208 = V056600 - 1. assign V251547 = V670858 - 1. assign V947885 = V468427. assign V444327 = V468427 + 1. assign V539107 = V350532 - 1. assign V238623 = V474606. assign V535706 = V588862 + 1. assign V930669 = V807139 - 1. assign V609448 = V539107 - 1. assign V531268 = V294879 + 1. assign V892395 = V531268 - 1. assign V567441 = V308367. assign V370093 = V503611 + 1. assign V392225 = V294879 - 1. assign V372158 = V588862 + 1. assign V892482 = V025671 - 1. assign V822474 = V574725. assign V205663 = V533017 - 1. assign V727249 = V790543 + 1. assign V326073 = V967976 - 1. assign V758566 = V128707 - 1. assign V124742 = V665733. assign V225816 = V690010. assign V464946 = V922797 + 1. assign V967976 = V139267 + 1. assign V691598 = V044809 + 1. assign V650905 = V643322 + 1. assign V588862 = V822474 + 1. assign V533017 = V308367 - 1. assign V525817 = V566667. assign V375331 = V056600 - 1. assign V327567 = V937394 + 1. assign V450995 = V981822 - 1. assign V414790 = V789630 - 1. assign V308367 = V381639. assign V676586 = V724298. assign V234694 = V372158 + 1. assign V148953 = V865045 + 1. assign V981822 = V978836 - 1. assign V310304 = V865045. assign V056600 = V789630. assign V978836 = V676586. assign V919944 = V526856 - 1. assign V557647 = V643677 - 1. assign V044809 = V359111 - 1. assign V663530 = V327567. assign V483445 = V901132. assign V225172 = V533017 - 1. assign V307614 = V629427 + 1. assign V122272 = V927289 + 1. assign V574725 = V789630. assign V033183 = V606497 - 1. assign V670858 = V724298 + 1. assign V901132 = 7. assign V962602 = V381639. assign V229849 = V937394. assign V359111 = V253790 - 1. assign V075544 = V499756. assign V422568 = V225172 + 1. assign V254962 = V987538 - 1. assign V793923 = V878170. assign V381755 = V878170 - 1. assign V824454 = V253790 - 1. assign V870505 = V381755 - 1. assign V987538 = V025671 - 1. assign V128707 = V822474 + 1. assign V650791 = V025671. assign V051419 = V566667. assign V790543 = V606497. assign V025671 = V128707 - 1. assign V793480 = V962602. assign V044361 = V175875 - 1. assign V876832 = V566044 - 1. assign V922797 = V927289 - 1. assign V468427 = V376791. assign V163523 = V025671 - 1. assign V004839 = V663530 - 1. assign V265414 = V372158 + 1. assign V937394 = V567441 - 1. assign V527037 = V675365. assign V211539 = V824556 + 1. assign V521361 = V710830 - 1. assign V117796 = V206086 - 1. assign V162688 = V676586 + 1. assign V878170 = V162688. assign V175875 = V574725 + 1. assign V706280 = V789630 - 1. assign V727669 = V372158 + 1. assign V350532 = V865045. assign V171232 = V822474. assign V139267 = V691598 - 1. assign V503294 = V352909 + 1. assign V265493 = V794444. assign V017397 = V676586 + 1. assign V724298 = V789630 - 1. assign V253790 = V468427. assign V499756 = V927289 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V859065 = V139379. assign V446188 = V865045 - 1. assign V185329 = V234694. assign V643322 = V033183. assign V865045 = V175875. assign V794444 = V724298 + 1. assign V471094 = V947885. assign V665733 = V947885 - 1. assign V559369 = V676586. assign V121692 = V056600. assign V139655 = V724298 - 1. assign V882512 = V947885 + 1. assign V736768 = V724298 + 1. assign V542117 = V691598. assign V855945 = V916616 + 1. assign V883662 = V859065 - 1. assign V710830 = V468427 + 1. assign V429458 = V352909 + 1. assign V282288 = V376791. assign V304730 = V533017 - 1. assign V425863 = V584151. assign V224819 = V978836 - 1. assign V284624 = V978836. assign V352909 = V162688 - 1. assign V852784 = V464946 + 1. assign V136932 = V566667 - 1. assign V009745 = V265414 - 1. assign V916616 = V359111 + 1. assign V233967 = V629427 + 1. assign V960516 = V531268. assign V358501 = V643677. assign V992893 = V122272. assign V954635 = V372158 - 1. assign V139379 = V606497 - 1. assign V566044 = V359111. assign V807139 = V954635. assign V763490 = V051419. assign V364357 = V995370. assign V644476 = V206086. assign V295620 = V175875. assign V200592 = V756974 - 1. assign V995370 = V372158 - 1. assign V675365 = V978836 + 1. assign V503611 = V162688. assign V518491 = V139379. assign V140777 = V922797 + 1. assign V226123 = V642504 - 1. assign V474606 = V444327 + 1. assign V643677 = V758566. assign V526856 = V468427. assign V560530 = V981822. assign V629427 = V308367 - 1. assign V911000 = V376791. assign V606497 = V927289. assign V142789 = V535706. assign V642504 = V327567 - 1. assign V376791 = V056600 - 1. assign V381639 = V724298. assign V995517 = V444327 + 1. assign V566667 = V350532 + 1. assign V206086 = V690010 + 1. assign V622036 = V521361 + 1. assign V130172 = V265493. assign V690010 = V588862 + 1. assign V927289 = V065208 + 1. assign V584151 = V927289 + 1. assign V611134 = V140777 + 1. assign V218062 = V162688 + 1. assign V384599 = V756974. assign V772361 = V350532 + 1. assign V611663 = V865045. assign V824556 = V162688 + 1. assign V294879 = V670858 - 1. assign V756974 = V947885. assign V229955 = V535706. assign V065208 = V056600 - 1. assign V251547 = V670858 - 1. assign V947885 = V468427. assign V444327 = V468427 + 1. assign V539107 = V350532 - 1. assign V238623 = V474606. assign V535706 = V588862 + 1. assign V930669 = V807139 - 1. assign V609448 = V539107 - 1. assign V531268 = V294879 + 1. assign V892395 = V531268 - 1. assign V567441 = V308367. assign V370093 = V503611 + 1. assign V392225 = V294879 - 1. assign V372158 = V588862 + 1. assign V892482 = V025671 - 1. assign V822474 = V574725. assign V205663 = V533017 - 1. assign V727249 = V790543 + 1. assign V326073 = V967976 - 1. assign V758566 = V128707 - 1. assign V124742 = V665733. assign V225816 = V690010. assign V464946 = V922797 + 1. assign V967976 = V139267 + 1. assign V691598 = V044809 + 1. assign V650905 = V643322 + 1. assign V588862 = V822474 + 1. assign V533017 = V308367 - 1. assign V525817 = V566667. assign V375331 = V056600 - 1. assign V327567 = V937394 + 1. assign V450995 = V981822 - 1. assign V414790 = V789630 - 1. assign V308367 = V381639. assign V676586 = V724298. assign V234694 = V372158 + 1. assign V148953 = V865045 + 1. assign V981822 = V978836 - 1. assign V310304 = V865045. assign V056600 = V789630. assign V978836 = V676586. assign V919944 = V526856 - 1. assign V557647 = V643677 - 1. assign V044809 = V359111 - 1. assign V663530 = V327567. assign V483445 = V901132. assign V225172 = V533017 - 1. assign V307614 = V629427 + 1. assign V122272 = V927289 + 1. assign V574725 = V789630. assign V033183 = V606497 - 1. assign V670858 = V724298 + 1. assign V901132 = 7. assign V962602 = V381639. assign V229849 = V937394. assign V359111 = V253790 - 1. assign V075544 = V499756. assign V422568 = V225172 + 1. assign V254962 = V987538 - 1. assign V793923 = V878170. assign V381755 = V878170 - 1. assign V824454 = V253790 - 1. assign V870505 = V381755 - 1. assign V987538 = V025671 - 1. assign V128707 = V822474 + 1. assign V650791 = V025671. assign V051419 = V566667. assign V790543 = V606497. assign V025671 = V128707 - 1. assign V793480 = V962602. assign V044361 = V175875 - 1. assign V876832 = V566044 - 1. assign V922797 = V927289 - 1. assign V468427 = V376791. assign V163523 = V025671 - 1. assign V004839 = V663530 - 1. assign V265414 = V372158 + 1. assign V937394 = V567441 - 1. assign V527037 = V675365. assign V211539 = V824556 + 1. assign V521361 = V710830 - 1. assign V117796 = V206086 - 1. assign V162688 = V676586 + 1. assign V878170 = V162688. assign V175875 = V574725 + 1. assign V706280 = V789630 - 1. assign V727669 = V372158 + 1. assign V350532 = V865045. assign V171232 = V822474. assign V139267 = V691598 - 1. assign V503294 = V352909 + 1. assign V265493 = V794444. assign V017397 = V676586 + 1. assign V724298 = V789630 - 1. assign V253790 = V468427. assign V499756 = V927289 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV901132 = 7;\n\nFrom these direct assignment(s), we have: \nV483445 = V901132 = 7;\nNo other variables can be derived from V483445;\nNo other variables can be derived from V901132;\n\nNow we have done all the calculations. Derived variables are:\nV901132 = 7;\nV483445 = 7;\n\nNow we have finished this problem. ANSWER:\nV901132, V483445\n", "role": "assistant" } ]

[ "V866863", "V328542" ]

[ { "content": "<context>\nassign V470925 = V905832 + 1. assign V321293 = V026648 - 1. assign V073369 = V475134 + 1. assign V777180 = V920286. assign V479725 = V072987. assign V407108 = V554365. assign V561630 = V209206 + 1. assign V385587 = V108514 + 1. assign V208306 = V768486 + 1. assign V649518 = V403152 + 1. assign V429573 = V407108. assign V365773 = V407108. assign V949546 = V377446. assign V642353 = V845161 - 1. assign V593726 = V064503 - 1. assign V886803 = V049898 - 1. assign V377446 = V064503 + 1. assign V604870 = V706143 + 1. assign V218424 = V016383. assign V405163 = V209206 - 1. assign V671430 = V108514 + 1. assign V603289 = V106685 - 1. assign V764218 = V158574. assign V158574 = V797647. assign V652823 = V236025 + 1. assign V308653 = V406535 - 1. assign V201283 = V017299 - 1. assign V475134 = V417037 + 1. assign V403152 = V797647. assign V262822 = V064503 - 1. assign V835183 = V377446. assign V517300 = V918106 + 1. assign V910326 = V516994 - 1. assign V428958 = V262822 - 1. assign V710698 = V739123. assign V961016 = V949546. assign V399044 = V370266. assign V943494 = V300682 - 1. assign V565092 = V739123 - 1. assign V544710 = V449403 + 1. assign V049898 = V516994. assign V099369 = V470925. assign V502024 = V089320. assign V356652 = V764218. assign V494700 = V710698 - 1. assign V595515 = V667464 - 1. assign V016383 = V308653 + 1. assign V050327 = V919038. assign V726294 = V328783. assign V822654 = V995110 + 1. assign V026648 = V064503 - 1. assign V089320 = V918106 + 1. assign V072987 = V949546 + 1. assign V066371 = V108514 + 1. assign V315834 = V108514. assign V741052 = V300682 + 1. assign V560049 = V399044 + 1. assign V005872 = V995110 - 1. assign V105791 = V782250 - 1. assign V494075 = V565092 - 1. assign V739123 = V433447 - 1. assign V701822 = V050327 - 1. assign V934259 = V517300 + 1. assign V731206 = V414756 + 1. assign V022567 = V322387. assign V322387 = V108514. assign V406535 = V797647. assign V770212 = V262822 - 1. assign V236025 = V385587 + 1. assign V866863 = 9. assign V158893 = V064503. assign V176850 = V389114. assign V984193 = V554365. assign V907781 = V406535. assign V363010 = V548119. assign V099392 = V073369 + 1. assign V294794 = V470925. assign V554365 = V017801. assign V124568 = V701822. assign V782250 = V949546 + 1. assign V404123 = V066371 - 1. assign V652066 = V822654. assign V921949 = V770503 - 1. assign V656210 = V554365. assign V659629 = V835183. assign V686227 = V448428 - 1. assign V471826 = V822654 - 1. assign V293808 = V209206 - 1. assign V667464 = V433447 + 1. assign V108514 = V797647 + 1. assign V370266 = V322387 - 1. assign V624111 = V659629 - 1. assign V727789 = V782250 + 1. assign V349228 = V289420 + 1. assign V825402 = V005872. assign V926285 = V561630. assign V819449 = V593726 - 1. assign V905832 = V406535. assign V177211 = V377446 - 1. assign V677851 = V209206 - 1. assign V031527 = V010833. assign V606342 = V548119 - 1. assign V305575 = V406535 + 1. assign V364544 = V389114 + 1. assign V984390 = V042926 - 1. assign V924758 = V739123 - 1. assign V420608 = V845161. assign V938385 = V031527 + 1. assign V999815 = V835183 + 1. assign V042926 = V407108. assign V768486 = V220531 - 1. assign V936825 = V262822. assign V117972 = V407108. assign V140265 = V797647 + 1. assign V414756 = V298258 - 1. assign V770503 = V797647 + 1. assign V773191 = V158893. assign V878948 = V321293 + 1. assign V209206 = V017801 + 1. assign V482115 = V886803 + 1. assign V289420 = V554365 - 1. assign V300682 = V770503 - 1. assign V010833 = V066371 + 1. assign V616785 = V926285 + 1. assign V642573 = V575377. assign V658862 = V433447 + 1. assign V448428 = V108514 - 1. assign V995110 = V548119 - 1. assign V706143 = V005872. assign V254066 = V936825. assign V792397 = V770503 + 1. assign V861401 = V407108 - 1. assign V647093 = V330774. assign V052940 = V797647. assign V005578 = V470925 - 1. assign V898617 = V943963 + 1. assign V722191 = V064503. assign V845161 = V726294. assign V797647 = V593726 - 1. assign V920286 = V407108. assign V433447 = V064503. assign V918106 = V797647 - 1. assign V548119 = V315834 + 1. assign V919038 = V739123. assign V135679 = V647093 + 1. assign V070665 = V492615. assign V492615 = V936825 + 1. assign V428450 = V433447 + 1. assign V306481 = V158893 + 1. assign V120370 = V072987. assign V885236 = V158893. assign V449403 = V845161. assign V417037 = V936825 - 1. assign V943963 = V017801 - 1. assign V298258 = V919038 + 1. assign V328542 = V866863. assign V444485 = V315834 + 1. assign V998007 = V471826 + 1. assign V943042 = V177211. assign V017299 = V417037. assign V330774 = V315834. assign V220531 = V936825. assign V071956 = V370266. assign V670311 = V934259. assign V575377 = V845161 - 1. assign V017801 = V300682 + 1. assign V349995 = V017801. assign V389114 = V797647. assign V106685 = V845161 - 1. assign V516994 = V158893 - 1. assign V243825 = V671430. assign V328783 = V797647 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V470925 = V905832 + 1. assign V321293 = V026648 - 1. assign V073369 = V475134 + 1. assign V777180 = V920286. assign V479725 = V072987. assign V407108 = V554365. assign V561630 = V209206 + 1. assign V385587 = V108514 + 1. assign V208306 = V768486 + 1. assign V649518 = V403152 + 1. assign V429573 = V407108. assign V365773 = V407108. assign V949546 = V377446. assign V642353 = V845161 - 1. assign V593726 = V064503 - 1. assign V886803 = V049898 - 1. assign V377446 = V064503 + 1. assign V604870 = V706143 + 1. assign V218424 = V016383. assign V405163 = V209206 - 1. assign V671430 = V108514 + 1. assign V603289 = V106685 - 1. assign V764218 = V158574. assign V158574 = V797647. assign V652823 = V236025 + 1. assign V308653 = V406535 - 1. assign V201283 = V017299 - 1. assign V475134 = V417037 + 1. assign V403152 = V797647. assign V262822 = V064503 - 1. assign V835183 = V377446. assign V517300 = V918106 + 1. assign V910326 = V516994 - 1. assign V428958 = V262822 - 1. assign V710698 = V739123. assign V961016 = V949546. assign V399044 = V370266. assign V943494 = V300682 - 1. assign V565092 = V739123 - 1. assign V544710 = V449403 + 1. assign V049898 = V516994. assign V099369 = V470925. assign V502024 = V089320. assign V356652 = V764218. assign V494700 = V710698 - 1. assign V595515 = V667464 - 1. assign V016383 = V308653 + 1. assign V050327 = V919038. assign V726294 = V328783. assign V822654 = V995110 + 1. assign V026648 = V064503 - 1. assign V089320 = V918106 + 1. assign V072987 = V949546 + 1. assign V066371 = V108514 + 1. assign V315834 = V108514. assign V741052 = V300682 + 1. assign V560049 = V399044 + 1. assign V005872 = V995110 - 1. assign V105791 = V782250 - 1. assign V494075 = V565092 - 1. assign V739123 = V433447 - 1. assign V701822 = V050327 - 1. assign V934259 = V517300 + 1. assign V731206 = V414756 + 1. assign V022567 = V322387. assign V322387 = V108514. assign V406535 = V797647. assign V770212 = V262822 - 1. assign V236025 = V385587 + 1. assign V866863 = 9. assign V158893 = V064503. assign V176850 = V389114. assign V984193 = V554365. assign V907781 = V406535. assign V363010 = V548119. assign V099392 = V073369 + 1. assign V294794 = V470925. assign V554365 = V017801. assign V124568 = V701822. assign V782250 = V949546 + 1. assign V404123 = V066371 - 1. assign V652066 = V822654. assign V921949 = V770503 - 1. assign V656210 = V554365. assign V659629 = V835183. assign V686227 = V448428 - 1. assign V471826 = V822654 - 1. assign V293808 = V209206 - 1. assign V667464 = V433447 + 1. assign V108514 = V797647 + 1. assign V370266 = V322387 - 1. assign V624111 = V659629 - 1. assign V727789 = V782250 + 1. assign V349228 = V289420 + 1. assign V825402 = V005872. assign V926285 = V561630. assign V819449 = V593726 - 1. assign V905832 = V406535. assign V177211 = V377446 - 1. assign V677851 = V209206 - 1. assign V031527 = V010833. assign V606342 = V548119 - 1. assign V305575 = V406535 + 1. assign V364544 = V389114 + 1. assign V984390 = V042926 - 1. assign V924758 = V739123 - 1. assign V420608 = V845161. assign V938385 = V031527 + 1. assign V999815 = V835183 + 1. assign V042926 = V407108. assign V768486 = V220531 - 1. assign V936825 = V262822. assign V117972 = V407108. assign V140265 = V797647 + 1. assign V414756 = V298258 - 1. assign V770503 = V797647 + 1. assign V773191 = V158893. assign V878948 = V321293 + 1. assign V209206 = V017801 + 1. assign V482115 = V886803 + 1. assign V289420 = V554365 - 1. assign V300682 = V770503 - 1. assign V010833 = V066371 + 1. assign V616785 = V926285 + 1. assign V642573 = V575377. assign V658862 = V433447 + 1. assign V448428 = V108514 - 1. assign V995110 = V548119 - 1. assign V706143 = V005872. assign V254066 = V936825. assign V792397 = V770503 + 1. assign V861401 = V407108 - 1. assign V647093 = V330774. assign V052940 = V797647. assign V005578 = V470925 - 1. assign V898617 = V943963 + 1. assign V722191 = V064503. assign V845161 = V726294. assign V797647 = V593726 - 1. assign V920286 = V407108. assign V433447 = V064503. assign V918106 = V797647 - 1. assign V548119 = V315834 + 1. assign V919038 = V739123. assign V135679 = V647093 + 1. assign V070665 = V492615. assign V492615 = V936825 + 1. assign V428450 = V433447 + 1. assign V306481 = V158893 + 1. assign V120370 = V072987. assign V885236 = V158893. assign V449403 = V845161. assign V417037 = V936825 - 1. assign V943963 = V017801 - 1. assign V298258 = V919038 + 1. assign V328542 = V866863. assign V444485 = V315834 + 1. assign V998007 = V471826 + 1. assign V943042 = V177211. assign V017299 = V417037. assign V330774 = V315834. assign V220531 = V936825. assign V071956 = V370266. assign V670311 = V934259. assign V575377 = V845161 - 1. assign V017801 = V300682 + 1. assign V349995 = V017801. assign V389114 = V797647. assign V106685 = V845161 - 1. assign V516994 = V158893 - 1. assign V243825 = V671430. assign V328783 = V797647 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV866863 = 9;\n\nFrom these direct assignment(s), we have: \nV328542 = V866863 = 9;\nNo other variables can be derived from V328542;\nNo other variables can be derived from V866863;\n\nNow we have done all the calculations. Derived variables are:\nV866863 = 9;\nV328542 = 9;\n\nNow we have finished this problem. ANSWER:\nV866863, V328542\n", "role": "assistant" } ]

[ "V665041" ]

[ { "content": "<context>\nassign V332681 = V331097. assign V922679 = V360831. assign V608261 = V590993 - 1. assign V301533 = V332681 + 1. assign V915124 = V590993 + 1. assign V539574 = V922679 + 1. assign V957369 = V169251. assign V009985 = V043290. assign V748755 = V954867 - 1. assign V488804 = V619376 + 1. assign V820636 = V877574 - 1. assign V869513 = V386481 + 1. assign V459938 = V503965 + 1. assign V041117 = V628732 - 1. assign V311931 = V623910 - 1. assign V156060 = V976951. assign V738142 = V459938 + 1. assign V393240 = V537129 + 1. assign V526146 = V545250 - 1. assign V839053 = V220548 + 1. assign V511678 = V608261. assign V954867 = V437266. assign V321450 = V877574 + 1. assign V065725 = V139058 + 1. assign V137670 = V303865 - 1. assign V060726 = V476804 + 1. assign V503965 = V926698 - 1. assign V405893 = V139058 - 1. assign V315278 = V321450 + 1. assign V446016 = V979130 + 1. assign V000888 = V545250 + 1. assign V882323 = V894714. assign V841549 = V360831 + 1. assign V135559 = V009985. assign V169644 = V150250 - 1. assign V730931 = V271631. assign V628732 = V984380. assign V441703 = V590993. assign V976803 = V839053 + 1. assign V326784 = V270577 - 1. assign V319613 = V976951 + 1. assign V913466 = V433852. assign V324777 = V984380 + 1. assign V627983 = V480199 - 1. assign V979130 = V441703 - 1. assign V096885 = V802782 + 1. assign V800613 = V522339 - 1. assign V429530 = V608261 - 1. assign V590993 = V984380 - 1. assign V795005 = V301533 - 1. assign V360027 = V576769 - 1. assign V168238 = V411413. assign V132682 = V301533 - 1. assign V136283 = V331097 - 1. assign V576769 = V802782 - 1. assign V657705 = V873601 - 1. assign V193888 = V623910. assign V729450 = V755287 - 1. assign V271631 = V984380 - 1. assign V902359 = V608261. assign V619376 = V321450. assign V849029 = V634462 - 1. assign V127133 = V360831. assign V751238 = V169251. assign V045282 = V576769 + 1. assign V493174 = V522339 - 1. assign V881096 = V979130 + 1. assign V906208 = V839053 + 1. assign V755287 = V192608. assign V529790 = V820636 - 1. assign V764188 = V603656. assign V192608 = V270577. assign V312729 = V009985. assign V215059 = V628732. assign V976951 = V321450 + 1. assign V303242 = V315278. assign V759452 = V590993. assign V279816 = V665041 - 1. assign V910272 = V340273 + 1. assign V376453 = V837213. assign V353953 = V169251 - 1. assign V349660 = V751238. assign V056430 = V127580 - 1. assign V515010 = V321450 + 1. assign V803767 = V584778 + 1. assign V660448 = V315278 + 1. assign V743327 = V913466 + 1. assign V603656 = V628732 + 1. assign V059935 = V894714. assign V688928 = V628732 + 1. assign V316780 = V976951 + 1. assign V584778 = V608261 + 1. assign V481838 = V511678. assign V673540 = V660448 + 1. assign V312063 = V446016. assign V665041 = 6. assign V386481 = V139058. assign V522218 = V009985 - 1. assign V320169 = V738142 - 1. assign V433852 = V634462 + 1. assign V444511 = V870150 - 1. assign V209549 = V276215 - 1. assign V537129 = V315278 - 1. assign V965462 = V332681 + 1. assign V127983 = V590993 - 1. assign V127580 = V803767 - 1. assign V323218 = V759452. assign V380409 = V276215 + 1. assign V490140 = V623910 + 1. assign V215428 = V764188 - 1. assign V411413 = V132682. assign V264707 = V798272 - 1. assign V276215 = V360831 - 1. assign V987947 = V057386. assign V217736 = V353953 + 1. assign V804411 = V192608 + 1. assign V926698 = V065725. assign V697833 = V132682. assign V360831 = V608261 - 1. assign V516708 = V702609 + 1. assign V048861 = V065725 + 1. assign V239003 = V628732 + 1. assign V437266 = V702609. assign V390204 = V246173 - 1. assign V837213 = V688928 + 1. assign V076393 = V441703 + 1. assign V279838 = V008715. assign V873601 = V820636 - 1. assign V270577 = V429530 - 1. assign V549223 = V839053 + 1. assign V480199 = V315278 - 1. assign V701200 = V441703 + 1. assign V756550 = V009985 - 1. assign V024448 = V576769 - 1. assign V031354 = V360831. assign V702609 = V411413 + 1. assign V798272 = V476804 + 1. assign V580254 = V326784. assign V894714 = V608261 + 1. assign V083770 = V312063. assign V870150 = V837213 + 1. assign V557288 = V881096 - 1. assign V877574 = V441703 + 1. assign V846049 = V522339. assign V303865 = V169251. assign V085038 = V192608. assign V074564 = V628732 + 1. assign V802782 = V429530 - 1. assign V340273 = V246173. assign V331097 = V008715 + 1. assign V409239 = V150250 + 1. assign V220548 = V623910 - 1. assign V057386 = V511678 + 1. assign V169251 = V608261. assign V532500 = V590993 + 1. assign V184225 = V276215 + 1. assign V272627 = V634462. assign V437844 = V837213. assign V070944 = V360831 - 1. assign V545250 = V411413 - 1. assign V476804 = V331097. assign V623910 = V008715 - 1. assign V139058 = V271631. assign V634462 = V132682 - 1. assign V246173 = V301533 + 1. assign V008715 = V429530 + 1. assign V623014 = V441703. assign V150250 = V522339 + 1. assign V522339 = V321450 - 1. assign V174725 = V493174. assign V576676 = V264707. assign V043290 = V532500 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V332681 = V331097. assign V922679 = V360831. assign V608261 = V590993 - 1. assign V301533 = V332681 + 1. assign V915124 = V590993 + 1. assign V539574 = V922679 + 1. assign V957369 = V169251. assign V009985 = V043290. assign V748755 = V954867 - 1. assign V488804 = V619376 + 1. assign V820636 = V877574 - 1. assign V869513 = V386481 + 1. assign V459938 = V503965 + 1. assign V041117 = V628732 - 1. assign V311931 = V623910 - 1. assign V156060 = V976951. assign V738142 = V459938 + 1. assign V393240 = V537129 + 1. assign V526146 = V545250 - 1. assign V839053 = V220548 + 1. assign V511678 = V608261. assign V954867 = V437266. assign V321450 = V877574 + 1. assign V065725 = V139058 + 1. assign V137670 = V303865 - 1. assign V060726 = V476804 + 1. assign V503965 = V926698 - 1. assign V405893 = V139058 - 1. assign V315278 = V321450 + 1. assign V446016 = V979130 + 1. assign V000888 = V545250 + 1. assign V882323 = V894714. assign V841549 = V360831 + 1. assign V135559 = V009985. assign V169644 = V150250 - 1. assign V730931 = V271631. assign V628732 = V984380. assign V441703 = V590993. assign V976803 = V839053 + 1. assign V326784 = V270577 - 1. assign V319613 = V976951 + 1. assign V913466 = V433852. assign V324777 = V984380 + 1. assign V627983 = V480199 - 1. assign V979130 = V441703 - 1. assign V096885 = V802782 + 1. assign V800613 = V522339 - 1. assign V429530 = V608261 - 1. assign V590993 = V984380 - 1. assign V795005 = V301533 - 1. assign V360027 = V576769 - 1. assign V168238 = V411413. assign V132682 = V301533 - 1. assign V136283 = V331097 - 1. assign V576769 = V802782 - 1. assign V657705 = V873601 - 1. assign V193888 = V623910. assign V729450 = V755287 - 1. assign V271631 = V984380 - 1. assign V902359 = V608261. assign V619376 = V321450. assign V849029 = V634462 - 1. assign V127133 = V360831. assign V751238 = V169251. assign V045282 = V576769 + 1. assign V493174 = V522339 - 1. assign V881096 = V979130 + 1. assign V906208 = V839053 + 1. assign V755287 = V192608. assign V529790 = V820636 - 1. assign V764188 = V603656. assign V192608 = V270577. assign V312729 = V009985. assign V215059 = V628732. assign V976951 = V321450 + 1. assign V303242 = V315278. assign V759452 = V590993. assign V279816 = V665041 - 1. assign V910272 = V340273 + 1. assign V376453 = V837213. assign V353953 = V169251 - 1. assign V349660 = V751238. assign V056430 = V127580 - 1. assign V515010 = V321450 + 1. assign V803767 = V584778 + 1. assign V660448 = V315278 + 1. assign V743327 = V913466 + 1. assign V603656 = V628732 + 1. assign V059935 = V894714. assign V688928 = V628732 + 1. assign V316780 = V976951 + 1. assign V584778 = V608261 + 1. assign V481838 = V511678. assign V673540 = V660448 + 1. assign V312063 = V446016. assign V665041 = 6. assign V386481 = V139058. assign V522218 = V009985 - 1. assign V320169 = V738142 - 1. assign V433852 = V634462 + 1. assign V444511 = V870150 - 1. assign V209549 = V276215 - 1. assign V537129 = V315278 - 1. assign V965462 = V332681 + 1. assign V127983 = V590993 - 1. assign V127580 = V803767 - 1. assign V323218 = V759452. assign V380409 = V276215 + 1. assign V490140 = V623910 + 1. assign V215428 = V764188 - 1. assign V411413 = V132682. assign V264707 = V798272 - 1. assign V276215 = V360831 - 1. assign V987947 = V057386. assign V217736 = V353953 + 1. assign V804411 = V192608 + 1. assign V926698 = V065725. assign V697833 = V132682. assign V360831 = V608261 - 1. assign V516708 = V702609 + 1. assign V048861 = V065725 + 1. assign V239003 = V628732 + 1. assign V437266 = V702609. assign V390204 = V246173 - 1. assign V837213 = V688928 + 1. assign V076393 = V441703 + 1. assign V279838 = V008715. assign V873601 = V820636 - 1. assign V270577 = V429530 - 1. assign V549223 = V839053 + 1. assign V480199 = V315278 - 1. assign V701200 = V441703 + 1. assign V756550 = V009985 - 1. assign V024448 = V576769 - 1. assign V031354 = V360831. assign V702609 = V411413 + 1. assign V798272 = V476804 + 1. assign V580254 = V326784. assign V894714 = V608261 + 1. assign V083770 = V312063. assign V870150 = V837213 + 1. assign V557288 = V881096 - 1. assign V877574 = V441703 + 1. assign V846049 = V522339. assign V303865 = V169251. assign V085038 = V192608. assign V074564 = V628732 + 1. assign V802782 = V429530 - 1. assign V340273 = V246173. assign V331097 = V008715 + 1. assign V409239 = V150250 + 1. assign V220548 = V623910 - 1. assign V057386 = V511678 + 1. assign V169251 = V608261. assign V532500 = V590993 + 1. assign V184225 = V276215 + 1. assign V272627 = V634462. assign V437844 = V837213. assign V070944 = V360831 - 1. assign V545250 = V411413 - 1. assign V476804 = V331097. assign V623910 = V008715 - 1. assign V139058 = V271631. assign V634462 = V132682 - 1. assign V246173 = V301533 + 1. assign V008715 = V429530 + 1. assign V623014 = V441703. assign V150250 = V522339 + 1. assign V522339 = V321450 - 1. assign V174725 = V493174. assign V576676 = V264707. assign V043290 = V532500 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV665041 = 6;\n\nFrom these direct assignment(s), we have: \nV279816 = V665041 - 1 = 6 - 1 =5;\nNo other variables can be derived from V279816;\nNo other variables can be derived from V665041;\n\nNow we have done all the calculations. Derived variables are:\nV665041 = 6;\nV279816 = 5;\n\nNow we have finished this problem. ANSWER:\nV665041\n", "role": "assistant" } ]

[ "V700375", "V089070" ]

[ { "content": "<context>\nassign V982533 = V242359 - 1. assign V940493 = V124714 - 1. assign V680637 = V688319 + 1. assign V763487 = V056068 + 1. assign V414665 = V803815 + 1. assign V645177 = V706428. assign V399256 = V414665. assign V712807 = V266218. assign V521949 = V056457 + 1. assign V025974 = V579796 - 1. assign V579796 = V960644. assign V729921 = V025974 - 1. assign V569476 = V642582 + 1. assign V690955 = V940493 + 1. assign V595156 = V143834. assign V089070 = V700375. assign V316075 = V033093 - 1. assign V218281 = V881270. assign V312758 = V094780 - 1. assign V026759 = V909519 - 1. assign V009912 = V603627. assign V736294 = V601274 - 1. assign V768382 = V025974. assign V437014 = V114779 + 1. assign V419834 = V073432. assign V444626 = V216775 + 1. assign V960644 = V028579 - 1. assign V731760 = V960644 - 1. assign V366872 = V063743 - 1. assign V056457 = V009912 - 1. assign V194375 = V940493 - 1. assign V603627 = V658104 + 1. assign V294181 = V889544. assign V298813 = V312474 + 1. assign V345798 = V597468. assign V061063 = V249555. assign V414507 = V866177 + 1. assign V094780 = V658104 + 1. assign V651386 = V312758 - 1. assign V903681 = V114779 - 1. assign V330070 = V613708. assign V866177 = V642582. assign V053588 = V603627 - 1. assign V106587 = V124714. assign V744498 = V903681 + 1. assign V748175 = V028579 + 1. assign V114779 = V579796. assign V279216 = V706428 + 1. assign V783999 = V056457 + 1. assign V130881 = V744498. assign V607131 = V690955. assign V688319 = V430816 - 1. assign V621347 = V597468. assign V425320 = V960644 + 1. assign V881270 = V954988 + 1. assign V537573 = V318010 + 1. assign V566794 = V851017 - 1. assign V734129 = V028579. assign V566327 = V437014 - 1. assign V312474 = V731760 + 1. assign V728204 = V025974 + 1. assign V148395 = V658104. assign V696875 = V579796 + 1. assign V602571 = V613708 + 1. assign V216775 = V537573 + 1. assign V130255 = V772389 + 1. assign V832353 = V537573 - 1. assign V323043 = V579796 - 1. assign V188434 = V736294 - 1. assign V613708 = V312474. assign V222246 = V851017 + 1. assign V802064 = V521949 - 1. assign V520495 = V350886 - 1. assign V044197 = V728204. assign V243335 = V225599 - 1. assign V723834 = V298813. assign V109983 = V210075 - 1. assign V620446 = V631464 - 1. assign V033093 = V744498 + 1. assign V373397 = V600909. assign V584097 = V965803 - 1. assign V293675 = V803815 - 1. assign V342797 = V521296 - 1. assign V949468 = V106587 + 1. assign V210075 = V734774. assign V225599 = V921264. assign V632623 = V425320 - 1. assign V569797 = V537573. assign V554367 = V314193 - 1. assign V600909 = V851017 - 1. assign V921264 = V894644. assign V851017 = V743136 + 1. assign V691683 = V243335 + 1. assign V520014 = V026759. assign V165355 = V734774. assign V322574 = V312474. assign V810924 = V768382. assign V056068 = V960644. assign V700375 = 7. assign V743136 = V028579 + 1. assign V280044 = V889544. assign V307094 = V266218 + 1. assign V999560 = V613708. assign V184418 = V601152. assign V350886 = V613708 - 1. assign V631464 = V222246. assign V059907 = V430816 + 1. assign V976642 = V631464. assign V589780 = V960644. assign V266218 = V690955. assign V460343 = V480810 - 1. assign V521296 = V318010. assign V419348 = V009912. assign V160122 = V723002 + 1. assign V289358 = V965803 - 1. assign V809477 = V965803 - 1. assign V401339 = V004028 - 1. assign V244819 = V632623. assign V656892 = V322574. assign V544832 = V700158. assign V004028 = V130881 + 1. assign V894235 = V808492 - 1. assign V823704 = V210075 + 1. assign V318010 = V028579. assign V803815 = V613708 - 1. assign V894644 = V130255 - 1. assign V723002 = V569476. assign V124714 = V731760 + 1. assign V183708 = V597468 + 1. assign V800091 = V382085 - 1. assign V954988 = V028579 + 1. assign V115072 = V603627. assign V108411 = V322574. assign V314193 = V808492. assign V601152 = V124714 - 1. assign V911128 = V194375. assign V601274 = V537573 - 1. assign V656923 = V810924 + 1. assign V291492 = V028579 - 1. assign V763612 = V053588. assign V048381 = V601274 + 1. assign V296033 = V184418. assign V382085 = V903681 + 1. assign V642582 = V731760. assign V063743 = V059907 - 1. assign V837613 = V921264. assign V909519 = V059907 - 1. assign V738703 = V706428 + 1. assign V073432 = V056457. assign V812058 = V148395 - 1. assign V612643 = V566794. assign V220288 = V437014 - 1. assign V982551 = V803815 - 1. assign V597468 = V999560 + 1. assign V706428 = V059907. assign V808492 = V437014 - 1. assign V889544 = V601152. assign V430816 = V025974. assign V965803 = V114779. assign V700158 = V382085 - 1. assign V143834 = V743136 + 1. assign V249555 = V025974. assign V480810 = V613708. assign V772389 = V048381 - 1. assign V676535 = V056068. assign V662136 = V579796 - 1. assign V833983 = V059907 - 1. assign V242359 = V690955 + 1. assign V510429 = V738703 + 1. assign V051431 = V658104 - 1. assign V734774 = V130255 - 1. assign V658104 = V803815.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V982533 = V242359 - 1. assign V940493 = V124714 - 1. assign V680637 = V688319 + 1. assign V763487 = V056068 + 1. assign V414665 = V803815 + 1. assign V645177 = V706428. assign V399256 = V414665. assign V712807 = V266218. assign V521949 = V056457 + 1. assign V025974 = V579796 - 1. assign V579796 = V960644. assign V729921 = V025974 - 1. assign V569476 = V642582 + 1. assign V690955 = V940493 + 1. assign V595156 = V143834. assign V089070 = V700375. assign V316075 = V033093 - 1. assign V218281 = V881270. assign V312758 = V094780 - 1. assign V026759 = V909519 - 1. assign V009912 = V603627. assign V736294 = V601274 - 1. assign V768382 = V025974. assign V437014 = V114779 + 1. assign V419834 = V073432. assign V444626 = V216775 + 1. assign V960644 = V028579 - 1. assign V731760 = V960644 - 1. assign V366872 = V063743 - 1. assign V056457 = V009912 - 1. assign V194375 = V940493 - 1. assign V603627 = V658104 + 1. assign V294181 = V889544. assign V298813 = V312474 + 1. assign V345798 = V597468. assign V061063 = V249555. assign V414507 = V866177 + 1. assign V094780 = V658104 + 1. assign V651386 = V312758 - 1. assign V903681 = V114779 - 1. assign V330070 = V613708. assign V866177 = V642582. assign V053588 = V603627 - 1. assign V106587 = V124714. assign V744498 = V903681 + 1. assign V748175 = V028579 + 1. assign V114779 = V579796. assign V279216 = V706428 + 1. assign V783999 = V056457 + 1. assign V130881 = V744498. assign V607131 = V690955. assign V688319 = V430816 - 1. assign V621347 = V597468. assign V425320 = V960644 + 1. assign V881270 = V954988 + 1. assign V537573 = V318010 + 1. assign V566794 = V851017 - 1. assign V734129 = V028579. assign V566327 = V437014 - 1. assign V312474 = V731760 + 1. assign V728204 = V025974 + 1. assign V148395 = V658104. assign V696875 = V579796 + 1. assign V602571 = V613708 + 1. assign V216775 = V537573 + 1. assign V130255 = V772389 + 1. assign V832353 = V537573 - 1. assign V323043 = V579796 - 1. assign V188434 = V736294 - 1. assign V613708 = V312474. assign V222246 = V851017 + 1. assign V802064 = V521949 - 1. assign V520495 = V350886 - 1. assign V044197 = V728204. assign V243335 = V225599 - 1. assign V723834 = V298813. assign V109983 = V210075 - 1. assign V620446 = V631464 - 1. assign V033093 = V744498 + 1. assign V373397 = V600909. assign V584097 = V965803 - 1. assign V293675 = V803815 - 1. assign V342797 = V521296 - 1. assign V949468 = V106587 + 1. assign V210075 = V734774. assign V225599 = V921264. assign V632623 = V425320 - 1. assign V569797 = V537573. assign V554367 = V314193 - 1. assign V600909 = V851017 - 1. assign V921264 = V894644. assign V851017 = V743136 + 1. assign V691683 = V243335 + 1. assign V520014 = V026759. assign V165355 = V734774. assign V322574 = V312474. assign V810924 = V768382. assign V056068 = V960644. assign V700375 = 7. assign V743136 = V028579 + 1. assign V280044 = V889544. assign V307094 = V266218 + 1. assign V999560 = V613708. assign V184418 = V601152. assign V350886 = V613708 - 1. assign V631464 = V222246. assign V059907 = V430816 + 1. assign V976642 = V631464. assign V589780 = V960644. assign V266218 = V690955. assign V460343 = V480810 - 1. assign V521296 = V318010. assign V419348 = V009912. assign V160122 = V723002 + 1. assign V289358 = V965803 - 1. assign V809477 = V965803 - 1. assign V401339 = V004028 - 1. assign V244819 = V632623. assign V656892 = V322574. assign V544832 = V700158. assign V004028 = V130881 + 1. assign V894235 = V808492 - 1. assign V823704 = V210075 + 1. assign V318010 = V028579. assign V803815 = V613708 - 1. assign V894644 = V130255 - 1. assign V723002 = V569476. assign V124714 = V731760 + 1. assign V183708 = V597468 + 1. assign V800091 = V382085 - 1. assign V954988 = V028579 + 1. assign V115072 = V603627. assign V108411 = V322574. assign V314193 = V808492. assign V601152 = V124714 - 1. assign V911128 = V194375. assign V601274 = V537573 - 1. assign V656923 = V810924 + 1. assign V291492 = V028579 - 1. assign V763612 = V053588. assign V048381 = V601274 + 1. assign V296033 = V184418. assign V382085 = V903681 + 1. assign V642582 = V731760. assign V063743 = V059907 - 1. assign V837613 = V921264. assign V909519 = V059907 - 1. assign V738703 = V706428 + 1. assign V073432 = V056457. assign V812058 = V148395 - 1. assign V612643 = V566794. assign V220288 = V437014 - 1. assign V982551 = V803815 - 1. assign V597468 = V999560 + 1. assign V706428 = V059907. assign V808492 = V437014 - 1. assign V889544 = V601152. assign V430816 = V025974. assign V965803 = V114779. assign V700158 = V382085 - 1. assign V143834 = V743136 + 1. assign V249555 = V025974. assign V480810 = V613708. assign V772389 = V048381 - 1. assign V676535 = V056068. assign V662136 = V579796 - 1. assign V833983 = V059907 - 1. assign V242359 = V690955 + 1. assign V510429 = V738703 + 1. assign V051431 = V658104 - 1. assign V734774 = V130255 - 1. assign V658104 = V803815.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV700375 = 7;\n\nFrom these direct assignment(s), we have: \nV089070 = V700375 = 7;\nNo other variables can be derived from V089070;\nNo other variables can be derived from V700375;\n\nNow we have done all the calculations. Derived variables are:\nV700375 = 7;\nV089070 = 7;\n\nNow we have finished this problem. ANSWER:\nV700375, V089070\n", "role": "assistant" } ]

[ "V952593" ]

[ { "content": "<context>\nassign V866042 = V005113. assign V093914 = V596413. assign V743994 = V962420 - 1. assign V148672 = V373871 + 1. assign V946484 = V690716 + 1. assign V952593 = V100101 + 1. assign V845234 = V989571 + 1. assign V226518 = V640611 + 1. assign V299755 = V489662 - 1. assign V237433 = V596413 + 1. assign V731572 = V386676 + 1. assign V028732 = V294454 - 1. assign V251377 = V049625 + 1. assign V373871 = V489662. assign V226834 = V769022 + 1. assign V605066 = V489662 - 1. assign V090651 = V605066. assign V553910 = V821883 + 1. assign V749238 = V459480. assign V032311 = V086994 - 1. assign V521326 = V946731 - 1. assign V726676 = V743994 + 1. assign V525259 = V740633 + 1. assign V537877 = V690716. assign V572546 = V299755. assign V701839 = V866042 - 1. assign V329746 = V760558 - 1. assign V965220 = V447558. assign V010943 = V210482 + 1. assign V654304 = V541541. assign V690716 = V866042 - 1. assign V181425 = V767253 - 1. assign V872836 = V827219 - 1. assign V187095 = V369694 - 1. assign V767253 = V225325 + 1. assign V786441 = V069399. assign V207890 = V553910 + 1. assign V738138 = V049625. assign V595878 = V210482 - 1. assign V596413 = V780680 - 1. assign V989571 = V965520. assign V013308 = V994815 - 1. assign V295192 = V521326 + 1. assign V769022 = V055088 + 1. assign V055088 = V605066. assign V065370 = V458584 - 1. assign V836206 = V353626 + 1. assign V666189 = V198905 - 1. assign V213010 = V368950. assign V105353 = V572546 - 1. assign V514261 = V263104 - 1. assign V967815 = V049625 + 1. assign V084983 = V853145 - 1. assign V333731 = V369694 + 1. assign V640611 = V583611 - 1. assign V523057 = V740633. assign V669865 = V632125 - 1. assign V294454 = V514261 + 1. assign V507357 = V172563 + 1. assign V139551 = V966853 - 1. assign V016105 = V793077 + 1. assign V011483 = V299755 + 1. assign V609924 = V373871. assign V922644 = V032311. assign V089877 = V373871 - 1. assign V095775 = V690003. assign V785690 = V251377 + 1. assign V953497 = V740633. assign V383696 = V373871 + 1. assign V962420 = V609924. assign V737106 = V690003 - 1. assign V005113 = V514261 - 1. assign V760558 = V210482 + 1. assign V334137 = V013308. assign V892557 = V965520 - 1. assign V973153 = V743994 + 1. assign V014178 = V690003 + 1. assign V351239 = V028732 - 1. assign V100101 = 2. assign V908954 = V783757 + 1. assign V231820 = V198905. assign V386676 = V148672. assign V634308 = V679839. assign V583611 = V055088. assign V837033 = V760558 - 1. assign V447558 = V596413. assign V541541 = V263104. assign V610168 = V780680 - 1. assign V660580 = V852966 - 1. assign V170078 = V010943 - 1. assign V306050 = V231820. assign V210482 = V198905. assign V632125 = V967815. assign V294377 = V489662 - 1. assign V890518 = V646880 + 1. assign V353626 = V392457 - 1. assign V463047 = V585384. assign V263104 = V086994 - 1. assign V395698 = V783757 - 1. assign V734450 = V541541. assign V946731 = V769022. assign V585384 = V605066 - 1. assign V679842 = V585384 + 1. assign V906531 = V047890 + 1. assign V167007 = V572546. assign V646880 = V333731 + 1. assign V740633 = V172563 - 1. assign V084033 = V373871 - 1. assign V086994 = V010943 + 1. assign V114958 = V225325. assign V198905 = V489662. assign V852966 = V251377 + 1. assign V180678 = V145205 + 1. assign V033576 = V065370. assign V222993 = V585384 + 1. assign V487215 = V541541 - 1. assign V172563 = V572546 + 1. assign V779590 = V989571 - 1. assign V625053 = V519710 - 1. assign V922407 = V061386 + 1. assign V200365 = V148672 + 1. assign V406658 = V743994 + 1. assign V239608 = V373871. assign V540397 = V010943. assign V431581 = V738138. assign V136065 = V553910 + 1. assign V687895 = V523057 + 1. assign V966853 = V369694. assign V793077 = V740633 - 1. assign V392457 = V299755 - 1. assign V472055 = V609924 + 1. assign V442217 = V967815. assign V133743 = V583611 - 1. assign V853145 = V994815 + 1. assign V225325 = V047890. assign V450565 = V383696. assign V469851 = V383696 - 1. assign V459480 = V489662 + 1. assign V520793 = V463047 - 1. assign V679839 = V541541 - 1. assign V679350 = V767253 - 1. assign V145205 = V231820 - 1. assign V965520 = V967815 - 1. assign V313769 = V793077. assign V126235 = V596413 - 1. assign V660635 = V369694 + 1. assign V368950 = V198905 + 1. assign V369694 = V299755 - 1. assign V913749 = V225325 + 1. assign V827219 = V852966 + 1. assign V821883 = V172563 + 1. assign V783757 = V294454 + 1. assign V296611 = V537877. assign V556189 = V521326. assign V524897 = V134747. assign V069399 = V334137 - 1. assign V994815 = V086994 - 1. assign V284496 = V610168. assign V016572 = V610168. assign V690003 = V743994 + 1. assign V047890 = V489662 + 1. assign V780680 = V055088 - 1. assign V061386 = V383696 - 1. assign V039329 = V994815. assign V239467 = V679842 - 1. assign V134747 = V793077. assign V483640 = V069399. assign V665489 = V005113 + 1. assign V049625 = V055088 + 1. assign V519710 = V373871 - 1. assign V458584 = V263104 - 1. assign V502940 = V523057 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V866042 = V005113. assign V093914 = V596413. assign V743994 = V962420 - 1. assign V148672 = V373871 + 1. assign V946484 = V690716 + 1. assign V952593 = V100101 + 1. assign V845234 = V989571 + 1. assign V226518 = V640611 + 1. assign V299755 = V489662 - 1. assign V237433 = V596413 + 1. assign V731572 = V386676 + 1. assign V028732 = V294454 - 1. assign V251377 = V049625 + 1. assign V373871 = V489662. assign V226834 = V769022 + 1. assign V605066 = V489662 - 1. assign V090651 = V605066. assign V553910 = V821883 + 1. assign V749238 = V459480. assign V032311 = V086994 - 1. assign V521326 = V946731 - 1. assign V726676 = V743994 + 1. assign V525259 = V740633 + 1. assign V537877 = V690716. assign V572546 = V299755. assign V701839 = V866042 - 1. assign V329746 = V760558 - 1. assign V965220 = V447558. assign V010943 = V210482 + 1. assign V654304 = V541541. assign V690716 = V866042 - 1. assign V181425 = V767253 - 1. assign V872836 = V827219 - 1. assign V187095 = V369694 - 1. assign V767253 = V225325 + 1. assign V786441 = V069399. assign V207890 = V553910 + 1. assign V738138 = V049625. assign V595878 = V210482 - 1. assign V596413 = V780680 - 1. assign V989571 = V965520. assign V013308 = V994815 - 1. assign V295192 = V521326 + 1. assign V769022 = V055088 + 1. assign V055088 = V605066. assign V065370 = V458584 - 1. assign V836206 = V353626 + 1. assign V666189 = V198905 - 1. assign V213010 = V368950. assign V105353 = V572546 - 1. assign V514261 = V263104 - 1. assign V967815 = V049625 + 1. assign V084983 = V853145 - 1. assign V333731 = V369694 + 1. assign V640611 = V583611 - 1. assign V523057 = V740633. assign V669865 = V632125 - 1. assign V294454 = V514261 + 1. assign V507357 = V172563 + 1. assign V139551 = V966853 - 1. assign V016105 = V793077 + 1. assign V011483 = V299755 + 1. assign V609924 = V373871. assign V922644 = V032311. assign V089877 = V373871 - 1. assign V095775 = V690003. assign V785690 = V251377 + 1. assign V953497 = V740633. assign V383696 = V373871 + 1. assign V962420 = V609924. assign V737106 = V690003 - 1. assign V005113 = V514261 - 1. assign V760558 = V210482 + 1. assign V334137 = V013308. assign V892557 = V965520 - 1. assign V973153 = V743994 + 1. assign V014178 = V690003 + 1. assign V351239 = V028732 - 1. assign V100101 = 2. assign V908954 = V783757 + 1. assign V231820 = V198905. assign V386676 = V148672. assign V634308 = V679839. assign V583611 = V055088. assign V837033 = V760558 - 1. assign V447558 = V596413. assign V541541 = V263104. assign V610168 = V780680 - 1. assign V660580 = V852966 - 1. assign V170078 = V010943 - 1. assign V306050 = V231820. assign V210482 = V198905. assign V632125 = V967815. assign V294377 = V489662 - 1. assign V890518 = V646880 + 1. assign V353626 = V392457 - 1. assign V463047 = V585384. assign V263104 = V086994 - 1. assign V395698 = V783757 - 1. assign V734450 = V541541. assign V946731 = V769022. assign V585384 = V605066 - 1. assign V679842 = V585384 + 1. assign V906531 = V047890 + 1. assign V167007 = V572546. assign V646880 = V333731 + 1. assign V740633 = V172563 - 1. assign V084033 = V373871 - 1. assign V086994 = V010943 + 1. assign V114958 = V225325. assign V198905 = V489662. assign V852966 = V251377 + 1. assign V180678 = V145205 + 1. assign V033576 = V065370. assign V222993 = V585384 + 1. assign V487215 = V541541 - 1. assign V172563 = V572546 + 1. assign V779590 = V989571 - 1. assign V625053 = V519710 - 1. assign V922407 = V061386 + 1. assign V200365 = V148672 + 1. assign V406658 = V743994 + 1. assign V239608 = V373871. assign V540397 = V010943. assign V431581 = V738138. assign V136065 = V553910 + 1. assign V687895 = V523057 + 1. assign V966853 = V369694. assign V793077 = V740633 - 1. assign V392457 = V299755 - 1. assign V472055 = V609924 + 1. assign V442217 = V967815. assign V133743 = V583611 - 1. assign V853145 = V994815 + 1. assign V225325 = V047890. assign V450565 = V383696. assign V469851 = V383696 - 1. assign V459480 = V489662 + 1. assign V520793 = V463047 - 1. assign V679839 = V541541 - 1. assign V679350 = V767253 - 1. assign V145205 = V231820 - 1. assign V965520 = V967815 - 1. assign V313769 = V793077. assign V126235 = V596413 - 1. assign V660635 = V369694 + 1. assign V368950 = V198905 + 1. assign V369694 = V299755 - 1. assign V913749 = V225325 + 1. assign V827219 = V852966 + 1. assign V821883 = V172563 + 1. assign V783757 = V294454 + 1. assign V296611 = V537877. assign V556189 = V521326. assign V524897 = V134747. assign V069399 = V334137 - 1. assign V994815 = V086994 - 1. assign V284496 = V610168. assign V016572 = V610168. assign V690003 = V743994 + 1. assign V047890 = V489662 + 1. assign V780680 = V055088 - 1. assign V061386 = V383696 - 1. assign V039329 = V994815. assign V239467 = V679842 - 1. assign V134747 = V793077. assign V483640 = V069399. assign V665489 = V005113 + 1. assign V049625 = V055088 + 1. assign V519710 = V373871 - 1. assign V458584 = V263104 - 1. assign V502940 = V523057 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV100101 = 2;\n\nFrom these direct assignment(s), we have: \nV952593 = V100101 + 1 = 2 + 1 =3;\nNo other variables can be derived from V952593;\nNo other variables can be derived from V100101;\n\nNow we have done all the calculations. Derived variables are:\nV100101 = 2;\nV952593 = 3;\n\nNow we have finished this problem. ANSWER:\nV952593\n", "role": "assistant" } ]

[ "V797116" ]

[ { "content": "<context>\nassign V371809 = V929017 + 1. assign V705247 = V475396 - 1. assign V424145 = V893950. assign V842460 = V716890 - 1. assign V662796 = V600895 + 1. assign V172032 = V598119. assign V970366 = V738528 + 1. assign V317380 = V583953 - 1. assign V367813 = V534959. assign V524077 = V716890. assign V594906 = V850075 - 1. assign V054271 = V515020 - 1. assign V354905 = V557192 + 1. assign V116332 = V664140 + 1. assign V072678 = V641295 + 1. assign V038458 = V515020 + 1. assign V272470 = V904917 - 1. assign V699034 = V534959. assign V061339 = V060168 + 1. assign V240063 = V371809 - 1. assign V641295 = V986075 + 1. assign V317447 = V610940 + 1. assign V600895 = V022034 + 1. assign V177241 = V272217 - 1. assign V453137 = V600895 + 1. assign V316920 = V253164 - 1. assign V539481 = V307074 - 1. assign V331414 = V060168 + 1. assign V870505 = V924638. assign V902745 = V716890 - 1. assign V923372 = V177241 + 1. assign V380225 = V296497. assign V557192 = V716890 - 1. assign V631536 = V979888 + 1. assign V253164 = V243602 + 1. assign V855670 = V763809 + 1. assign V545279 = V509320 + 1. assign V407002 = V410254 + 1. assign V221275 = V902745 - 1. assign V288247 = V924638. assign V960655 = V296497. assign V905393 = V990381. assign V212651 = V870505 + 1. assign V974925 = V060601 + 1. assign V024416 = V511508 - 1. assign V610940 = V929017. assign V763809 = V272470 + 1. assign V108496 = V850075. assign V803249 = V631533. assign V004870 = V253164. assign V246410 = V598119. assign V061117 = V022034 - 1. assign V161048 = V904917 - 1. assign V271322 = V600895 - 1. assign V515020 = V716890. assign V708950 = V221275 + 1. assign V470502 = V683772 - 1. assign V757610 = V678989. assign V936356 = V757610 - 1. assign V990381 = V664140 + 1. assign V078588 = V148482 - 1. assign V113557 = V536758 + 1. assign V134068 = V717967 + 1. assign V678989 = V090249 + 1. assign V143409 = V023978 - 1. assign V415248 = V013324 - 1. assign V766044 = V623118 - 1. assign V655554 = V276757 + 1. assign V354967 = V410254. assign V967028 = V367813. assign V098667 = V035117 - 1. assign V928408 = V019248 - 1. assign V865600 = V172032 + 1. assign V959364 = V594906 + 1. assign V050176 = V272217 - 1. assign V305950 = 5. assign V683772 = V515020 + 1. assign V070627 = V272470 - 1. assign V898369 = V958513 - 1. assign V071157 = V970366 + 1. assign V003158 = V536758 + 1. assign V013324 = V070627 + 1. assign V664140 = V631536 - 1. assign V022034 = V678989 - 1. assign V096446 = V059641 - 1. assign V509320 = V600895. assign V738528 = V716890 + 1. assign V715223 = V610940 - 1. assign V423670 = V096446. assign V924638 = V594906 - 1. assign V481042 = V050176 + 1. assign V410254 = V296497. assign V261235 = V181561. assign V986075 = V016052. assign V776282 = V206292 + 1. assign V767267 = V221275. assign V547108 = V715223 - 1. assign V272217 = V716890. assign V181561 = V524077. assign V129258 = V974925. assign V106792 = V610940. assign V979888 = V716890. assign V943016 = V598119 - 1. assign V511508 = V990381 + 1. assign V717973 = V116332. assign V385960 = V261235 - 1. assign V206292 = V716890 - 1. assign V717967 = V331414. assign V932317 = V842460 + 1. assign V060168 = V631536 - 1. assign V623926 = V337939 - 1. assign V936990 = V959364 - 1. assign V055558 = V337939. assign V991072 = V022034. assign V471818 = V738528 + 1. assign V810537 = V246410 + 1. assign V268543 = V991072 - 1. assign V797116 = V305950 + 1. assign V811491 = V272217. assign V536758 = V272217 + 1. assign V958513 = V979888 - 1. assign V583953 = V243602. assign V850075 = V929017 - 1. assign V060601 = V515020 - 1. assign V039248 = V354905 - 1. assign V682504 = V943016 + 1. assign V459140 = V545279 + 1. assign V598119 = V631536 + 1. assign V019248 = V699034 + 1. assign V963366 = V271322 + 1. assign V148482 = V979888 - 1. assign V631533 = V060601. assign V811727 = V206292 + 1. assign V955307 = V716890 + 1. assign V149371 = V272217 - 1. assign V743866 = V961655 + 1. assign V460780 = V181561. assign V035117 = V715223 - 1. assign V742188 = V683772 + 1. assign V389054 = V471818 + 1. assign V929017 = V716890. assign V307074 = V116332. assign V023978 = V534959 - 1. assign V579027 = V061117. assign V828514 = V038458 - 1. assign V276757 = V524077 + 1. assign V059641 = V932317 - 1. assign V636574 = V850075 - 1. assign V712266 = V038458. assign V544946 = V143409 + 1. assign V896965 = V631533. assign V475396 = V655554. assign V700457 = V243602 - 1. assign V534959 = V050176. assign V071380 = V078588. assign V930396 = V035117 + 1. assign V418699 = V331414 - 1. assign V961655 = V050176. assign V016052 = V181561 + 1. assign V296497 = V842460 - 1. assign V693725 = V524077 + 1. assign V337939 = V811727. assign V090249 = V116891 - 1. assign V302869 = V631533 - 1. assign V116891 = V050176. assign V893950 = V389054 + 1. assign V025224 = V979888 + 1. assign V227609 = V059641. assign V904917 = V060601 - 1. assign V243602 = V536758 - 1. assign V623118 = V544946 + 1. assign V439007 = V071157 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V371809 = V929017 + 1. assign V705247 = V475396 - 1. assign V424145 = V893950. assign V842460 = V716890 - 1. assign V662796 = V600895 + 1. assign V172032 = V598119. assign V970366 = V738528 + 1. assign V317380 = V583953 - 1. assign V367813 = V534959. assign V524077 = V716890. assign V594906 = V850075 - 1. assign V054271 = V515020 - 1. assign V354905 = V557192 + 1. assign V116332 = V664140 + 1. assign V072678 = V641295 + 1. assign V038458 = V515020 + 1. assign V272470 = V904917 - 1. assign V699034 = V534959. assign V061339 = V060168 + 1. assign V240063 = V371809 - 1. assign V641295 = V986075 + 1. assign V317447 = V610940 + 1. assign V600895 = V022034 + 1. assign V177241 = V272217 - 1. assign V453137 = V600895 + 1. assign V316920 = V253164 - 1. assign V539481 = V307074 - 1. assign V331414 = V060168 + 1. assign V870505 = V924638. assign V902745 = V716890 - 1. assign V923372 = V177241 + 1. assign V380225 = V296497. assign V557192 = V716890 - 1. assign V631536 = V979888 + 1. assign V253164 = V243602 + 1. assign V855670 = V763809 + 1. assign V545279 = V509320 + 1. assign V407002 = V410254 + 1. assign V221275 = V902745 - 1. assign V288247 = V924638. assign V960655 = V296497. assign V905393 = V990381. assign V212651 = V870505 + 1. assign V974925 = V060601 + 1. assign V024416 = V511508 - 1. assign V610940 = V929017. assign V763809 = V272470 + 1. assign V108496 = V850075. assign V803249 = V631533. assign V004870 = V253164. assign V246410 = V598119. assign V061117 = V022034 - 1. assign V161048 = V904917 - 1. assign V271322 = V600895 - 1. assign V515020 = V716890. assign V708950 = V221275 + 1. assign V470502 = V683772 - 1. assign V757610 = V678989. assign V936356 = V757610 - 1. assign V990381 = V664140 + 1. assign V078588 = V148482 - 1. assign V113557 = V536758 + 1. assign V134068 = V717967 + 1. assign V678989 = V090249 + 1. assign V143409 = V023978 - 1. assign V415248 = V013324 - 1. assign V766044 = V623118 - 1. assign V655554 = V276757 + 1. assign V354967 = V410254. assign V967028 = V367813. assign V098667 = V035117 - 1. assign V928408 = V019248 - 1. assign V865600 = V172032 + 1. assign V959364 = V594906 + 1. assign V050176 = V272217 - 1. assign V305950 = 5. assign V683772 = V515020 + 1. assign V070627 = V272470 - 1. assign V898369 = V958513 - 1. assign V071157 = V970366 + 1. assign V003158 = V536758 + 1. assign V013324 = V070627 + 1. assign V664140 = V631536 - 1. assign V022034 = V678989 - 1. assign V096446 = V059641 - 1. assign V509320 = V600895. assign V738528 = V716890 + 1. assign V715223 = V610940 - 1. assign V423670 = V096446. assign V924638 = V594906 - 1. assign V481042 = V050176 + 1. assign V410254 = V296497. assign V261235 = V181561. assign V986075 = V016052. assign V776282 = V206292 + 1. assign V767267 = V221275. assign V547108 = V715223 - 1. assign V272217 = V716890. assign V181561 = V524077. assign V129258 = V974925. assign V106792 = V610940. assign V979888 = V716890. assign V943016 = V598119 - 1. assign V511508 = V990381 + 1. assign V717973 = V116332. assign V385960 = V261235 - 1. assign V206292 = V716890 - 1. assign V717967 = V331414. assign V932317 = V842460 + 1. assign V060168 = V631536 - 1. assign V623926 = V337939 - 1. assign V936990 = V959364 - 1. assign V055558 = V337939. assign V991072 = V022034. assign V471818 = V738528 + 1. assign V810537 = V246410 + 1. assign V268543 = V991072 - 1. assign V797116 = V305950 + 1. assign V811491 = V272217. assign V536758 = V272217 + 1. assign V958513 = V979888 - 1. assign V583953 = V243602. assign V850075 = V929017 - 1. assign V060601 = V515020 - 1. assign V039248 = V354905 - 1. assign V682504 = V943016 + 1. assign V459140 = V545279 + 1. assign V598119 = V631536 + 1. assign V019248 = V699034 + 1. assign V963366 = V271322 + 1. assign V148482 = V979888 - 1. assign V631533 = V060601. assign V811727 = V206292 + 1. assign V955307 = V716890 + 1. assign V149371 = V272217 - 1. assign V743866 = V961655 + 1. assign V460780 = V181561. assign V035117 = V715223 - 1. assign V742188 = V683772 + 1. assign V389054 = V471818 + 1. assign V929017 = V716890. assign V307074 = V116332. assign V023978 = V534959 - 1. assign V579027 = V061117. assign V828514 = V038458 - 1. assign V276757 = V524077 + 1. assign V059641 = V932317 - 1. assign V636574 = V850075 - 1. assign V712266 = V038458. assign V544946 = V143409 + 1. assign V896965 = V631533. assign V475396 = V655554. assign V700457 = V243602 - 1. assign V534959 = V050176. assign V071380 = V078588. assign V930396 = V035117 + 1. assign V418699 = V331414 - 1. assign V961655 = V050176. assign V016052 = V181561 + 1. assign V296497 = V842460 - 1. assign V693725 = V524077 + 1. assign V337939 = V811727. assign V090249 = V116891 - 1. assign V302869 = V631533 - 1. assign V116891 = V050176. assign V893950 = V389054 + 1. assign V025224 = V979888 + 1. assign V227609 = V059641. assign V904917 = V060601 - 1. assign V243602 = V536758 - 1. assign V623118 = V544946 + 1. assign V439007 = V071157 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV305950 = 5;\n\nFrom these direct assignment(s), we have: \nV797116 = V305950 + 1 = 5 + 1 =6;\nNo other variables can be derived from V797116;\nNo other variables can be derived from V305950;\n\nNow we have done all the calculations. Derived variables are:\nV305950 = 5;\nV797116 = 6;\n\nNow we have finished this problem. ANSWER:\nV797116\n", "role": "assistant" } ]

[ "V610113" ]

[ { "content": "<context>\nassign V994272 = V547664 - 1. assign V008271 = V783838 + 1. assign V576713 = V422131 - 1. assign V293733 = V297925. assign V293533 = V811877 + 1. assign V267596 = V890331. assign V598809 = V207561. assign V166163 = V082511. assign V380617 = V476936 + 1. assign V381343 = V990222 - 1. assign V153214 = V990222. assign V670549 = V499407. assign V266453 = V453795 + 1. assign V328277 = V853884 + 1. assign V293789 = V453795 + 1. assign V930682 = V266453 - 1. assign V584818 = V994272. assign V699376 = V053915 + 1. assign V526030 = V789419. assign V805440 = V140275 + 1. assign V873777 = V584818. assign V170349 = V670549 + 1. assign V616871 = V453795 + 1. assign V473899 = V499407 + 1. assign V359604 = V783977 + 1. assign V476936 = V423730 + 1. assign V049135 = V439847. assign V370524 = V381343. assign V421597 = V429270. assign V783838 = V843806 - 1. assign V813076 = V793539. assign V168381 = V710775 - 1. assign V185828 = V453795. assign V116460 = V423730 - 1. assign V728517 = V994272. assign V080233 = V614534 + 1. assign V765509 = V116460 + 1. assign V446377 = V784359 - 1. assign V624934 = V616871. assign V444040 = V547664 + 1. assign V957775 = V315335 - 1. assign V749387 = V439847. assign V059529 = V872836 - 1. assign V053915 = V994272 - 1. assign V793539 = V053915 - 1. assign V102814 = V381343 - 1. assign V829013 = V059529. assign V360593 = V489441 + 1. assign V227448 = V124022. assign V952452 = V133013 - 1. assign V209246 = V782380 + 1. assign V013515 = V421597 + 1. assign V891141 = V710775. assign V845586 = V614534 - 1. assign V871853 = V581344 - 1. assign V563647 = V360593. assign V281470 = V894084 - 1. assign V228378 = V528722 - 1. assign V706734 = V373311 + 1. assign V730606 = V476936 + 1. assign V412358 = V373311. assign V272349 = V624934 - 1. assign V429270 = V547664 + 1. assign V581344 = V793539 + 1. assign V979395 = V793539 - 1. assign V431207 = V784359 - 1. assign V241367 = V894084. assign V499407 = V614534. assign V682235 = V422131 - 1. assign V842217 = V331469. assign V063996 = V185828 + 1. assign V699601 = V116460 + 1. assign V631574 = V930682 + 1. assign V033146 = V735240 - 1. assign V156136 = V819036. assign V068605 = V843806 - 1. assign V547664 = V453795 - 1. assign V557448 = V295260. assign V610113 = V166101 - 1. assign V735240 = V620854 + 1. assign V500348 = V293733 - 1. assign V485086 = V631574. assign V231003 = V990222 + 1. assign V938866 = V359604 + 1. assign V927096 = V376412. assign V297925 = V381343. assign V872836 = V392035 - 1. assign V177798 = V651371 + 1. assign V092998 = V047351 - 1. assign V272713 = V453795 + 1. assign V356699 = V241367. assign V870388 = V421597. assign V875625 = V124022 - 1. assign V528722 = V133013 - 1. assign V266979 = V990222 - 1. assign V954176 = V990222 + 1. assign V710775 = V047351 + 1. assign V394888 = V331469 + 1. assign V784359 = V651371 + 1. assign V279332 = V952452 - 1. assign V135627 = V453795. assign V670869 = V784359 + 1. assign V211747 = V614534. assign V791353 = V954176 + 1. assign V166101 = 8. assign V039419 = V360593 - 1. assign V714839 = V429270 + 1. assign V489441 = V819036 - 1. assign V760199 = V584818 - 1. assign V331469 = V990222. assign V890331 = V116460. assign V066269 = V765509 + 1. assign V439847 = V952452 - 1. assign V237539 = V135627. assign V117558 = V380617 - 1. assign V480125 = V819036 + 1. assign V846961 = V168381. assign V195999 = V266453 - 1. assign V373311 = V047351 - 1. assign V285218 = V846961 - 1. assign V614534 = V620854 + 1. assign V087943 = V894084 - 1. assign V315335 = V894084 + 1. assign V782380 = V331469 - 1. assign V047351 = V421597 - 1. assign V094526 = V047351 + 1. assign V000733 = V102814 - 1. assign V405417 = V118457 + 1. assign V295260 = V706734 + 1. assign V789494 = V670549. assign V234818 = V207561. assign V035536 = V392035 - 1. assign V193895 = V875625. assign V843806 = V870388. assign V651371 = V116460 + 1. assign V082511 = V429270 + 1. assign V118457 = V845586 + 1. assign V376412 = V631574 + 1. assign V156441 = V682235. assign V303216 = V930682 + 1. assign V149518 = V957775 - 1. assign V620854 = V584818 - 1. assign V783977 = V392035 - 1. assign V446510 = V102814 - 1. assign V765775 = V272713 + 1. assign V529401 = V185828 - 1. assign V207561 = V631574 - 1. assign V796879 = V315335 + 1. assign V463233 = V581344. assign V124022 = V699601 - 1. assign V392035 = V135627. assign V853884 = V446510. assign V423730 = V453795 + 1. assign V611784 = V842217 - 1. assign V440234 = V760199. assign V894084 = V547664. assign V819036 = V116460 - 1. assign V881928 = V266979. assign V074913 = V116460 + 1. assign V789419 = V185828 + 1. assign V517091 = V440234 - 1. assign V501537 = V581344 + 1. assign V133013 = V116460 - 1. assign V990222 = V116460 + 1. assign V422131 = V994272. assign V677373 = V135627. assign V451447 = V581344 + 1. assign V811877 = V082511 + 1. assign V368116 = V990222 - 1. assign V313783 = V990222 + 1. assign V140275 = V842217 - 1. assign V979092 = V581344.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V994272 = V547664 - 1. assign V008271 = V783838 + 1. assign V576713 = V422131 - 1. assign V293733 = V297925. assign V293533 = V811877 + 1. assign V267596 = V890331. assign V598809 = V207561. assign V166163 = V082511. assign V380617 = V476936 + 1. assign V381343 = V990222 - 1. assign V153214 = V990222. assign V670549 = V499407. assign V266453 = V453795 + 1. assign V328277 = V853884 + 1. assign V293789 = V453795 + 1. assign V930682 = V266453 - 1. assign V584818 = V994272. assign V699376 = V053915 + 1. assign V526030 = V789419. assign V805440 = V140275 + 1. assign V873777 = V584818. assign V170349 = V670549 + 1. assign V616871 = V453795 + 1. assign V473899 = V499407 + 1. assign V359604 = V783977 + 1. assign V476936 = V423730 + 1. assign V049135 = V439847. assign V370524 = V381343. assign V421597 = V429270. assign V783838 = V843806 - 1. assign V813076 = V793539. assign V168381 = V710775 - 1. assign V185828 = V453795. assign V116460 = V423730 - 1. assign V728517 = V994272. assign V080233 = V614534 + 1. assign V765509 = V116460 + 1. assign V446377 = V784359 - 1. assign V624934 = V616871. assign V444040 = V547664 + 1. assign V957775 = V315335 - 1. assign V749387 = V439847. assign V059529 = V872836 - 1. assign V053915 = V994272 - 1. assign V793539 = V053915 - 1. assign V102814 = V381343 - 1. assign V829013 = V059529. assign V360593 = V489441 + 1. assign V227448 = V124022. assign V952452 = V133013 - 1. assign V209246 = V782380 + 1. assign V013515 = V421597 + 1. assign V891141 = V710775. assign V845586 = V614534 - 1. assign V871853 = V581344 - 1. assign V563647 = V360593. assign V281470 = V894084 - 1. assign V228378 = V528722 - 1. assign V706734 = V373311 + 1. assign V730606 = V476936 + 1. assign V412358 = V373311. assign V272349 = V624934 - 1. assign V429270 = V547664 + 1. assign V581344 = V793539 + 1. assign V979395 = V793539 - 1. assign V431207 = V784359 - 1. assign V241367 = V894084. assign V499407 = V614534. assign V682235 = V422131 - 1. assign V842217 = V331469. assign V063996 = V185828 + 1. assign V699601 = V116460 + 1. assign V631574 = V930682 + 1. assign V033146 = V735240 - 1. assign V156136 = V819036. assign V068605 = V843806 - 1. assign V547664 = V453795 - 1. assign V557448 = V295260. assign V610113 = V166101 - 1. assign V735240 = V620854 + 1. assign V500348 = V293733 - 1. assign V485086 = V631574. assign V231003 = V990222 + 1. assign V938866 = V359604 + 1. assign V927096 = V376412. assign V297925 = V381343. assign V872836 = V392035 - 1. assign V177798 = V651371 + 1. assign V092998 = V047351 - 1. assign V272713 = V453795 + 1. assign V356699 = V241367. assign V870388 = V421597. assign V875625 = V124022 - 1. assign V528722 = V133013 - 1. assign V266979 = V990222 - 1. assign V954176 = V990222 + 1. assign V710775 = V047351 + 1. assign V394888 = V331469 + 1. assign V784359 = V651371 + 1. assign V279332 = V952452 - 1. assign V135627 = V453795. assign V670869 = V784359 + 1. assign V211747 = V614534. assign V791353 = V954176 + 1. assign V166101 = 8. assign V039419 = V360593 - 1. assign V714839 = V429270 + 1. assign V489441 = V819036 - 1. assign V760199 = V584818 - 1. assign V331469 = V990222. assign V890331 = V116460. assign V066269 = V765509 + 1. assign V439847 = V952452 - 1. assign V237539 = V135627. assign V117558 = V380617 - 1. assign V480125 = V819036 + 1. assign V846961 = V168381. assign V195999 = V266453 - 1. assign V373311 = V047351 - 1. assign V285218 = V846961 - 1. assign V614534 = V620854 + 1. assign V087943 = V894084 - 1. assign V315335 = V894084 + 1. assign V782380 = V331469 - 1. assign V047351 = V421597 - 1. assign V094526 = V047351 + 1. assign V000733 = V102814 - 1. assign V405417 = V118457 + 1. assign V295260 = V706734 + 1. assign V789494 = V670549. assign V234818 = V207561. assign V035536 = V392035 - 1. assign V193895 = V875625. assign V843806 = V870388. assign V651371 = V116460 + 1. assign V082511 = V429270 + 1. assign V118457 = V845586 + 1. assign V376412 = V631574 + 1. assign V156441 = V682235. assign V303216 = V930682 + 1. assign V149518 = V957775 - 1. assign V620854 = V584818 - 1. assign V783977 = V392035 - 1. assign V446510 = V102814 - 1. assign V765775 = V272713 + 1. assign V529401 = V185828 - 1. assign V207561 = V631574 - 1. assign V796879 = V315335 + 1. assign V463233 = V581344. assign V124022 = V699601 - 1. assign V392035 = V135627. assign V853884 = V446510. assign V423730 = V453795 + 1. assign V611784 = V842217 - 1. assign V440234 = V760199. assign V894084 = V547664. assign V819036 = V116460 - 1. assign V881928 = V266979. assign V074913 = V116460 + 1. assign V789419 = V185828 + 1. assign V517091 = V440234 - 1. assign V501537 = V581344 + 1. assign V133013 = V116460 - 1. assign V990222 = V116460 + 1. assign V422131 = V994272. assign V677373 = V135627. assign V451447 = V581344 + 1. assign V811877 = V082511 + 1. assign V368116 = V990222 - 1. assign V313783 = V990222 + 1. assign V140275 = V842217 - 1. assign V979092 = V581344.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV166101 = 8;\n\nFrom these direct assignment(s), we have: \nV610113 = V166101 - 1 = 8 - 1 =7;\nNo other variables can be derived from V610113;\nNo other variables can be derived from V166101;\n\nNow we have done all the calculations. Derived variables are:\nV166101 = 8;\nV610113 = 7;\n\nNow we have finished this problem. ANSWER:\nV610113\n", "role": "assistant" } ]

[ "V658954" ]

[ { "content": "<context>\nassign V583173 = V790203 - 1. assign V319454 = V324860 + 1. assign V083640 = V111597 - 1. assign V440312 = V627111 - 1. assign V429793 = V774580. assign V932101 = V495291 - 1. assign V486408 = V627111. assign V889406 = V797076 - 1. assign V617315 = V179707 - 1. assign V224344 = V774580. assign V349118 = V774580. assign V463210 = V874364 - 1. assign V985534 = V312180 + 1. assign V286962 = V478604. assign V163318 = V065549 + 1. assign V478604 = V200066. assign V941946 = V068284. assign V938325 = V234279 + 1. assign V902618 = V726742. assign V787979 = V698473. assign V498638 = V789420. assign V491030 = V953629 + 1. assign V458557 = V432552. assign V854389 = V899330 - 1. assign V245619 = V066925 - 1. assign V705114 = V707113 - 1. assign V899330 = V294319. assign V026843 = V370237 + 1. assign V545127 = V370237 + 1. assign V598348 = V738629. assign V698473 = V238614 - 1. assign V077839 = V087020. assign V273261 = V707113 + 1. assign V279999 = V900256 + 1. assign V200066 = V294319 - 1. assign V093864 = V200066 - 1. assign V976753 = V200066 - 1. assign V111597 = V228602 - 1. assign V500718 = V179265 - 1. assign V418282 = V228602 + 1. assign V228602 = V899330 + 1. assign V711883 = V408215 + 1. assign V495291 = V627111 + 1. assign V240330 = V902618. assign V466718 = V370237 + 1. assign V090768 = V066925 - 1. assign V658954 = 3. assign V388949 = V179265 - 1. assign V653349 = V936718 + 1. assign V953629 = V162579 + 1. assign V502088 = V294319 + 1. assign V001987 = V087565. assign V923971 = V228602 - 1. assign V874014 = V627111. assign V073166 = V789420. assign V553433 = V630694 + 1. assign V313416 = V286962 + 1. assign V621950 = V797076 + 1. assign V395661 = V478328 - 1. assign V001846 = V087565. assign V209158 = V577991 - 1. assign V068284 = V426940 - 1. assign V790203 = V326686 - 1. assign V376218 = V902618 - 1. assign V505862 = V294319. assign V324860 = V066925. assign V903852 = V985534. assign V432552 = V371278. assign V165336 = V478604 - 1. assign V174618 = V066925 - 1. assign V478328 = V654393 - 1. assign V920806 = V900256 + 1. assign V126324 = V354043. assign V871650 = V774580 + 1. assign V238614 = V164648. assign V166985 = V370237 + 1. assign V734379 = V313416 + 1. assign V793534 = V312180. assign V739817 = V978104 - 1. assign V281588 = V312180 + 1. assign V488052 = V900256 - 1. assign V794019 = V789420 - 1. assign V853538 = V738629. assign V591319 = V478604 - 1. assign V156545 = V228602 - 1. assign V604094 = V066925 - 1. assign V592209 = V179707. assign V896442 = V167844 - 1. assign V508719 = V627111 - 1. assign V518105 = V454528 + 1. assign V052433 = V326686 + 1. assign V874364 = V228602 + 1. assign V865869 = V370237 - 1. assign V085206 = V426940 + 1. assign V167844 = V478604. assign V992417 = V072492. assign V087565 = V066925. assign V942747 = V953629. assign V726742 = V859352 - 1. assign V978104 = V512028. assign V654393 = V167844 - 1. assign V678185 = V604094 - 1. assign V858309 = V156545 - 1. assign V630694 = V245619 - 1. assign V408215 = V654393. assign V091100 = V246874 + 1. assign V215947 = V126324 + 1. assign V354043 = V324860 + 1. assign V257470 = V498638. assign V707113 = V458557 - 1. assign V480373 = V200066 - 1. assign V454528 = V594416. assign V318443 = V001987 - 1. assign V863920 = V734379 + 1. assign V900256 = V312180. assign V087020 = V454528 - 1. assign V426940 = V774580 + 1. assign V535672 = V001846 - 1. assign V738629 = V066925 - 1. assign V179707 = V463210 - 1. assign V025324 = V001987 - 1. assign V162579 = V001846 + 1. assign V797076 = V738629. assign V524742 = V790203 - 1. assign V627111 = V066925. assign V370237 = V594416 - 1. assign V512028 = V156545 + 1. assign V886548 = V553433 + 1. assign V687509 = V093864. assign V037101 = V658954 + 1. assign V326686 = V234279 + 1. assign V439099 = V486408 + 1. assign V140165 = V486408 - 1. assign V594416 = V200066. assign V430557 = V326686. assign V980414 = V938325 + 1. assign V246874 = V164648 - 1. assign V072492 = V630694 + 1. assign V428439 = V001846 - 1. assign V066925 = V294319 - 1. assign V699961 = V874364 + 1. assign V619042 = V246874. assign V789420 = V578594. assign V839037 = V980414 + 1. assign V690362 = V627111 - 1. assign V936718 = V001987 + 1. assign V577205 = V774580. assign V812914 = V087565 + 1. assign V680555 = V388949. assign V312180 = V591319 + 1. assign V065549 = V371278 - 1. assign V859352 = V090768 - 1. assign V346687 = V938325 + 1. assign V578594 = V512028 + 1. assign V160171 = V854389 - 1. assign V179265 = V594416 - 1. assign V164648 = V228602 - 1. assign V234279 = V871650 + 1. assign V077381 = V428439. assign V488010 = V942747. assign V964118 = V705114 - 1. assign V571435 = V790203 + 1. assign V154957 = V654393 - 1. assign V577991 = V354043 + 1. assign V532527 = V480373. assign V943042 = V854389 + 1. assign V467796 = V077839 - 1. assign V764481 = V174618 - 1. assign V533753 = V087565 + 1. assign V371278 = V167844 + 1. assign V760503 = V246874 + 1. assign V774580 = V294319.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V583173 = V790203 - 1. assign V319454 = V324860 + 1. assign V083640 = V111597 - 1. assign V440312 = V627111 - 1. assign V429793 = V774580. assign V932101 = V495291 - 1. assign V486408 = V627111. assign V889406 = V797076 - 1. assign V617315 = V179707 - 1. assign V224344 = V774580. assign V349118 = V774580. assign V463210 = V874364 - 1. assign V985534 = V312180 + 1. assign V286962 = V478604. assign V163318 = V065549 + 1. assign V478604 = V200066. assign V941946 = V068284. assign V938325 = V234279 + 1. assign V902618 = V726742. assign V787979 = V698473. assign V498638 = V789420. assign V491030 = V953629 + 1. assign V458557 = V432552. assign V854389 = V899330 - 1. assign V245619 = V066925 - 1. assign V705114 = V707113 - 1. assign V899330 = V294319. assign V026843 = V370237 + 1. assign V545127 = V370237 + 1. assign V598348 = V738629. assign V698473 = V238614 - 1. assign V077839 = V087020. assign V273261 = V707113 + 1. assign V279999 = V900256 + 1. assign V200066 = V294319 - 1. assign V093864 = V200066 - 1. assign V976753 = V200066 - 1. assign V111597 = V228602 - 1. assign V500718 = V179265 - 1. assign V418282 = V228602 + 1. assign V228602 = V899330 + 1. assign V711883 = V408215 + 1. assign V495291 = V627111 + 1. assign V240330 = V902618. assign V466718 = V370237 + 1. assign V090768 = V066925 - 1. assign V658954 = 3. assign V388949 = V179265 - 1. assign V653349 = V936718 + 1. assign V953629 = V162579 + 1. assign V502088 = V294319 + 1. assign V001987 = V087565. assign V923971 = V228602 - 1. assign V874014 = V627111. assign V073166 = V789420. assign V553433 = V630694 + 1. assign V313416 = V286962 + 1. assign V621950 = V797076 + 1. assign V395661 = V478328 - 1. assign V001846 = V087565. assign V209158 = V577991 - 1. assign V068284 = V426940 - 1. assign V790203 = V326686 - 1. assign V376218 = V902618 - 1. assign V505862 = V294319. assign V324860 = V066925. assign V903852 = V985534. assign V432552 = V371278. assign V165336 = V478604 - 1. assign V174618 = V066925 - 1. assign V478328 = V654393 - 1. assign V920806 = V900256 + 1. assign V126324 = V354043. assign V871650 = V774580 + 1. assign V238614 = V164648. assign V166985 = V370237 + 1. assign V734379 = V313416 + 1. assign V793534 = V312180. assign V739817 = V978104 - 1. assign V281588 = V312180 + 1. assign V488052 = V900256 - 1. assign V794019 = V789420 - 1. assign V853538 = V738629. assign V591319 = V478604 - 1. assign V156545 = V228602 - 1. assign V604094 = V066925 - 1. assign V592209 = V179707. assign V896442 = V167844 - 1. assign V508719 = V627111 - 1. assign V518105 = V454528 + 1. assign V052433 = V326686 + 1. assign V874364 = V228602 + 1. assign V865869 = V370237 - 1. assign V085206 = V426940 + 1. assign V167844 = V478604. assign V992417 = V072492. assign V087565 = V066925. assign V942747 = V953629. assign V726742 = V859352 - 1. assign V978104 = V512028. assign V654393 = V167844 - 1. assign V678185 = V604094 - 1. assign V858309 = V156545 - 1. assign V630694 = V245619 - 1. assign V408215 = V654393. assign V091100 = V246874 + 1. assign V215947 = V126324 + 1. assign V354043 = V324860 + 1. assign V257470 = V498638. assign V707113 = V458557 - 1. assign V480373 = V200066 - 1. assign V454528 = V594416. assign V318443 = V001987 - 1. assign V863920 = V734379 + 1. assign V900256 = V312180. assign V087020 = V454528 - 1. assign V426940 = V774580 + 1. assign V535672 = V001846 - 1. assign V738629 = V066925 - 1. assign V179707 = V463210 - 1. assign V025324 = V001987 - 1. assign V162579 = V001846 + 1. assign V797076 = V738629. assign V524742 = V790203 - 1. assign V627111 = V066925. assign V370237 = V594416 - 1. assign V512028 = V156545 + 1. assign V886548 = V553433 + 1. assign V687509 = V093864. assign V037101 = V658954 + 1. assign V326686 = V234279 + 1. assign V439099 = V486408 + 1. assign V140165 = V486408 - 1. assign V594416 = V200066. assign V430557 = V326686. assign V980414 = V938325 + 1. assign V246874 = V164648 - 1. assign V072492 = V630694 + 1. assign V428439 = V001846 - 1. assign V066925 = V294319 - 1. assign V699961 = V874364 + 1. assign V619042 = V246874. assign V789420 = V578594. assign V839037 = V980414 + 1. assign V690362 = V627111 - 1. assign V936718 = V001987 + 1. assign V577205 = V774580. assign V812914 = V087565 + 1. assign V680555 = V388949. assign V312180 = V591319 + 1. assign V065549 = V371278 - 1. assign V859352 = V090768 - 1. assign V346687 = V938325 + 1. assign V578594 = V512028 + 1. assign V160171 = V854389 - 1. assign V179265 = V594416 - 1. assign V164648 = V228602 - 1. assign V234279 = V871650 + 1. assign V077381 = V428439. assign V488010 = V942747. assign V964118 = V705114 - 1. assign V571435 = V790203 + 1. assign V154957 = V654393 - 1. assign V577991 = V354043 + 1. assign V532527 = V480373. assign V943042 = V854389 + 1. assign V467796 = V077839 - 1. assign V764481 = V174618 - 1. assign V533753 = V087565 + 1. assign V371278 = V167844 + 1. assign V760503 = V246874 + 1. assign V774580 = V294319.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV658954 = 3;\n\nFrom these direct assignment(s), we have: \nV037101 = V658954 + 1 = 3 + 1 =4;\nNo other variables can be derived from V037101;\nNo other variables can be derived from V658954;\n\nNow we have done all the calculations. Derived variables are:\nV658954 = 3;\nV037101 = 4;\n\nNow we have finished this problem. ANSWER:\nV658954\n", "role": "assistant" } ]

[ "V095715" ]

[ { "content": "<context>\nassign V926736 = V692847 - 1. assign V549884 = V323935 - 1. assign V570862 = V323935 - 1. assign V681060 = V502060 - 1. assign V368190 = V553694 + 1. assign V395938 = V541500 + 1. assign V218809 = V959551 - 1. assign V100964 = V258317. assign V932515 = V468018 - 1. assign V213514 = V766333 - 1. assign V165403 = V770273. assign V532890 = V939407. assign V651598 = V492186 - 1. assign V698848 = V683127 - 1. assign V434448 = V862539. assign V770273 = V441352. assign V843614 = V534636 - 1. assign V518249 = V395938 + 1. assign V752500 = V197255. assign V262710 = V753913 + 1. assign V522060 = V269880. assign V934136 = V753913 + 1. assign V765396 = V324663. assign V492186 = V570862 + 1. assign V799775 = V441352. assign V284468 = V010778 + 1. assign V783037 = V590661 - 1. assign V071829 = V640793 - 1. assign V110188 = V770273. assign V324663 = V506688. assign V215038 = V197255 - 1. assign V214194 = V687187. assign V030984 = V681509 + 1. assign V918670 = V752500. assign V010778 = V334521. assign V095715 = 8. assign V001044 = V522060 - 1. assign V745894 = V317258. assign V505849 = V998653. assign V127264 = V636793 + 1. assign V951613 = V879017. assign V546587 = V010778 + 1. assign V578708 = V710622 + 1. assign V568702 = V600662. assign V277753 = V640793. assign V195175 = V162703. assign V714647 = V710622. assign V311360 = V819525. assign V718761 = V553694. assign V791763 = V030984 - 1. assign V998653 = V091569 - 1. assign V710622 = V441352 + 1. assign V091569 = V753913 - 1. assign V590661 = V794721. assign V673139 = V194476 - 1. assign V640793 = V939407. assign V502060 = V179855 - 1. assign V194476 = V162703 - 1. assign V780929 = V553839 + 1. assign V211412 = V819525. assign V844000 = V039416. assign V807694 = V269880 + 1. assign V131784 = V091681 - 1. assign V829903 = V897466 - 1. assign V299920 = V959551 + 1. assign V532323 = V454328 + 1. assign V370805 = V692847 + 1. assign V150554 = V904929. assign V527345 = V502060 + 1. assign V300374 = V211412. assign V191671 = V681060 + 1. assign V722950 = V931036 + 1. assign V636793 = V819525 + 1. assign V541500 = V928395. assign V676251 = V179855 - 1. assign V917053 = V323935. assign V135038 = V179855 + 1. assign V758533 = V939407 + 1. assign V336733 = V258317 + 1. assign V261983 = V683127 - 1. assign V681509 = V844000 - 1. assign V683127 = V819525 + 1. assign V716514 = V753913. assign V470054 = V179855. assign V692847 = V753913 + 1. assign V897466 = V819525. assign V665986 = V324663. assign V417791 = V710622. assign V034472 = V752500 - 1. assign V206990 = V366398 - 1. assign V819525 = V553694 - 1. assign V123172 = V541500. assign V258317 = V162703 + 1. assign V766938 = V904929. assign V711618 = V561867 + 1. assign V171794 = V710622 + 1. assign V201465 = V600662. assign V626370 = V752500 - 1. assign V150027 = V135038 + 1. assign V922434 = V636793 - 1. assign V366398 = V714647. assign V883582 = V197255 - 1. assign V206155 = V904929. assign V483511 = V939407. assign V794721 = V191671 + 1. assign V487667 = V323935. assign V304640 = V780929 + 1. assign V334521 = V939407 - 1. assign V928395 = V470054 - 1. assign V492697 = V651598 + 1. assign V190040 = V324663 - 1. assign V499607 = V095715 + 1. assign V931036 = V766333 + 1. assign V561867 = V071829. assign V468018 = V687187 + 1. assign V766333 = V487667 - 1. assign V846970 = V553694. assign V426086 = V879017 + 1. assign V862539 = V553694 - 1. assign V055303 = V570862 + 1. assign V395055 = V687187 - 1. assign V091681 = V819525 + 1. assign V039416 = V334521. assign V914965 = V195175. assign V684243 = V091681. assign V553694 = V323935 + 1. assign V398305 = V201465 + 1. assign V687187 = V506688 + 1. assign V845462 = V213514. assign V197255 = V553694 - 1. assign V572901 = V091569. assign V008742 = V527345 - 1. assign V361989 = V926736. assign V110846 = V993676. assign V441352 = V487667 - 1. assign V753913 = V334521 + 1. assign V737902 = V561867. assign V162703 = V766333 - 1. assign V904929 = V213514. assign V948190 = V722950 - 1. assign V123271 = V791763 + 1. assign V179855 = V819525. assign V959551 = V258317 + 1. assign V773746 = V926736 + 1. assign V600662 = V636793 - 1. assign V506688 = V636793 - 1. assign V234712 = V561867. assign V822049 = V570862 + 1. assign V960638 = V213514 + 1. assign V833406 = V191671 + 1. assign V534636 = V323935 - 1. assign V821239 = V879017 - 1. assign V939407 = V931036 - 1. assign V322689 = V211412. assign V140765 = V441352 + 1. assign V554922 = V150554 - 1. assign V310342 = V897466 - 1. assign V105289 = V206155. assign V264551 = V692847 + 1. assign V269880 = V710622 + 1. assign V317258 = V687187 + 1. assign V454328 = V553694. assign V390971 = V030984 - 1. assign V925596 = V928395 + 1. assign V103168 = V687187. assign V950099 = V698848. assign V255218 = V150027 + 1. assign V394704 = V846970. assign V879017 = V470054. assign V553839 = V698848 + 1. assign V993676 = V506688 + 1. assign V750474 = V441352.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V926736 = V692847 - 1. assign V549884 = V323935 - 1. assign V570862 = V323935 - 1. assign V681060 = V502060 - 1. assign V368190 = V553694 + 1. assign V395938 = V541500 + 1. assign V218809 = V959551 - 1. assign V100964 = V258317. assign V932515 = V468018 - 1. assign V213514 = V766333 - 1. assign V165403 = V770273. assign V532890 = V939407. assign V651598 = V492186 - 1. assign V698848 = V683127 - 1. assign V434448 = V862539. assign V770273 = V441352. assign V843614 = V534636 - 1. assign V518249 = V395938 + 1. assign V752500 = V197255. assign V262710 = V753913 + 1. assign V522060 = V269880. assign V934136 = V753913 + 1. assign V765396 = V324663. assign V492186 = V570862 + 1. assign V799775 = V441352. assign V284468 = V010778 + 1. assign V783037 = V590661 - 1. assign V071829 = V640793 - 1. assign V110188 = V770273. assign V324663 = V506688. assign V215038 = V197255 - 1. assign V214194 = V687187. assign V030984 = V681509 + 1. assign V918670 = V752500. assign V010778 = V334521. assign V095715 = 8. assign V001044 = V522060 - 1. assign V745894 = V317258. assign V505849 = V998653. assign V127264 = V636793 + 1. assign V951613 = V879017. assign V546587 = V010778 + 1. assign V578708 = V710622 + 1. assign V568702 = V600662. assign V277753 = V640793. assign V195175 = V162703. assign V714647 = V710622. assign V311360 = V819525. assign V718761 = V553694. assign V791763 = V030984 - 1. assign V998653 = V091569 - 1. assign V710622 = V441352 + 1. assign V091569 = V753913 - 1. assign V590661 = V794721. assign V673139 = V194476 - 1. assign V640793 = V939407. assign V502060 = V179855 - 1. assign V194476 = V162703 - 1. assign V780929 = V553839 + 1. assign V211412 = V819525. assign V844000 = V039416. assign V807694 = V269880 + 1. assign V131784 = V091681 - 1. assign V829903 = V897466 - 1. assign V299920 = V959551 + 1. assign V532323 = V454328 + 1. assign V370805 = V692847 + 1. assign V150554 = V904929. assign V527345 = V502060 + 1. assign V300374 = V211412. assign V191671 = V681060 + 1. assign V722950 = V931036 + 1. assign V636793 = V819525 + 1. assign V541500 = V928395. assign V676251 = V179855 - 1. assign V917053 = V323935. assign V135038 = V179855 + 1. assign V758533 = V939407 + 1. assign V336733 = V258317 + 1. assign V261983 = V683127 - 1. assign V681509 = V844000 - 1. assign V683127 = V819525 + 1. assign V716514 = V753913. assign V470054 = V179855. assign V692847 = V753913 + 1. assign V897466 = V819525. assign V665986 = V324663. assign V417791 = V710622. assign V034472 = V752500 - 1. assign V206990 = V366398 - 1. assign V819525 = V553694 - 1. assign V123172 = V541500. assign V258317 = V162703 + 1. assign V766938 = V904929. assign V711618 = V561867 + 1. assign V171794 = V710622 + 1. assign V201465 = V600662. assign V626370 = V752500 - 1. assign V150027 = V135038 + 1. assign V922434 = V636793 - 1. assign V366398 = V714647. assign V883582 = V197255 - 1. assign V206155 = V904929. assign V483511 = V939407. assign V794721 = V191671 + 1. assign V487667 = V323935. assign V304640 = V780929 + 1. assign V334521 = V939407 - 1. assign V928395 = V470054 - 1. assign V492697 = V651598 + 1. assign V190040 = V324663 - 1. assign V499607 = V095715 + 1. assign V931036 = V766333 + 1. assign V561867 = V071829. assign V468018 = V687187 + 1. assign V766333 = V487667 - 1. assign V846970 = V553694. assign V426086 = V879017 + 1. assign V862539 = V553694 - 1. assign V055303 = V570862 + 1. assign V395055 = V687187 - 1. assign V091681 = V819525 + 1. assign V039416 = V334521. assign V914965 = V195175. assign V684243 = V091681. assign V553694 = V323935 + 1. assign V398305 = V201465 + 1. assign V687187 = V506688 + 1. assign V845462 = V213514. assign V197255 = V553694 - 1. assign V572901 = V091569. assign V008742 = V527345 - 1. assign V361989 = V926736. assign V110846 = V993676. assign V441352 = V487667 - 1. assign V753913 = V334521 + 1. assign V737902 = V561867. assign V162703 = V766333 - 1. assign V904929 = V213514. assign V948190 = V722950 - 1. assign V123271 = V791763 + 1. assign V179855 = V819525. assign V959551 = V258317 + 1. assign V773746 = V926736 + 1. assign V600662 = V636793 - 1. assign V506688 = V636793 - 1. assign V234712 = V561867. assign V822049 = V570862 + 1. assign V960638 = V213514 + 1. assign V833406 = V191671 + 1. assign V534636 = V323935 - 1. assign V821239 = V879017 - 1. assign V939407 = V931036 - 1. assign V322689 = V211412. assign V140765 = V441352 + 1. assign V554922 = V150554 - 1. assign V310342 = V897466 - 1. assign V105289 = V206155. assign V264551 = V692847 + 1. assign V269880 = V710622 + 1. assign V317258 = V687187 + 1. assign V454328 = V553694. assign V390971 = V030984 - 1. assign V925596 = V928395 + 1. assign V103168 = V687187. assign V950099 = V698848. assign V255218 = V150027 + 1. assign V394704 = V846970. assign V879017 = V470054. assign V553839 = V698848 + 1. assign V993676 = V506688 + 1. assign V750474 = V441352.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV095715 = 8;\n\nFrom these direct assignment(s), we have: \nV499607 = V095715 + 1 = 8 + 1 =9;\nNo other variables can be derived from V499607;\nNo other variables can be derived from V095715;\n\nNow we have done all the calculations. Derived variables are:\nV095715 = 8;\nV499607 = 9;\n\nNow we have finished this problem. ANSWER:\nV095715\n", "role": "assistant" } ]

[ "V674365" ]

[ { "content": "<context>\nassign V844805 = V952774. assign V912773 = V093512 - 1. assign V160942 = V667495. assign V952774 = V754353. assign V881621 = V754353. assign V295114 = V237896. assign V594953 = V579362 + 1. assign V430043 = V041087 - 1. assign V716698 = V665402. assign V859261 = V420335. assign V257486 = V806387. assign V308445 = V056953 + 1. assign V383368 = V310957 + 1. assign V438622 = V569278 - 1. assign V647459 = V667495 + 1. assign V273534 = V430410. assign V615692 = V176948. assign V920598 = V348915. assign V865595 = V952774. assign V020619 = V647459 - 1. assign V202359 = V902429. assign V348915 = V465938 + 1. assign V579362 = V206402 - 1. assign V820148 = V823938 + 1. assign V938076 = V127553. assign V314298 = V826182 - 1. assign V718911 = V408931 + 1. assign V667495 = V823938. assign V142476 = V874781 - 1. assign V902429 = V823938 + 1. assign V472458 = V913860. assign V981168 = V237896 + 1. assign V143020 = V823938 + 1. assign V184812 = V206402 - 1. assign V913860 = V250302. assign V222164 = V119991 + 1. assign V310721 = V941598 - 1. assign V242948 = V443249 + 1. assign V176948 = V408647 - 1. assign V304531 = V166027 - 1. assign V206402 = V823938. assign V993269 = V740924. assign V061372 = V212595 - 1. assign V946391 = V119991 - 1. assign V497135 = V226678 + 1. assign V542689 = V948138 + 1. assign V492109 = V823938 + 1. assign V592547 = V273534. assign V926628 = V820345 + 1. assign V320284 = V859261. assign V118189 = V408647 - 1. assign V420335 = V177649. assign V875064 = V754353 + 1. assign V110032 = V974056 - 1. assign V554564 = V238080. assign V780257 = V006147 - 1. assign V269821 = V184812 + 1. assign V770977 = V744443. assign V127553 = V273534. assign V937475 = V492109 - 1. assign V433252 = V744443. assign V419732 = V592547. assign V520668 = V668245 + 1. assign V441395 = V143020 - 1. assign V139489 = V520668. assign V115179 = V127553 + 1. assign V408931 = V667495 + 1. assign V941598 = V127553 + 1. assign V006147 = V176948. assign V262108 = V443249 - 1. assign V012821 = V255056 + 1. assign V670423 = V206402 - 1. assign V443249 = V045885. assign V983038 = V367267 - 1. assign V188938 = V472458 - 1. assign V045885 = V083696. assign V028816 = V139489 - 1. assign V293092 = V663583 + 1. assign V067954 = V780257 + 1. assign V907841 = V269821. assign V673635 = V273534 - 1. assign V744443 = V273534. assign V600990 = V744443. assign V665402 = V118217. assign V569278 = V332243 - 1. assign V702165 = V744443 - 1. assign V965414 = V769096 + 1. assign V956713 = V674365 + 1. assign V283801 = V852962 + 1. assign V654638 = V067573 - 1. assign V740924 = V902429. assign V310957 = V746942 - 1. assign V192120 = V310512 - 1. assign V166027 = V750991 - 1. assign V212595 = V348915. assign V746942 = V465938 - 1. assign V060870 = V160942 - 1. assign V573319 = V920085. assign V754353 = V750991. assign V250302 = V754353 + 1. assign V840073 = V443249 + 1. assign V177649 = V668245 - 1. assign V291084 = V520668 + 1. assign V422265 = V750991 - 1. assign V978583 = V250302 + 1. assign V026129 = V667495 + 1. assign V974056 = V716698. assign V826182 = V492109 - 1. assign V083696 = V420335 - 1. assign V769096 = V820345. assign V056953 = V109705 - 1. assign V367267 = V045885. assign V750991 = V668245 - 1. assign V403433 = V569278 + 1. assign V707090 = V118217. assign V595241 = V408647 + 1. assign V391484 = V667495. assign V647813 = V109705. assign V986807 = V844805. assign V238080 = V465938 + 1. assign V763613 = V160942 - 1. assign V310512 = V668245 + 1. assign V255056 = V006147 + 1. assign V884517 = V542689 + 1. assign V119991 = V463340 - 1. assign V920085 = V828441 + 1. assign V443486 = V110032 + 1. assign V538231 = V685410 + 1. assign V137106 = V569278. assign V430410 = V902429. assign V404837 = V665402. assign V685410 = V273534 + 1. assign V874781 = V310957 - 1. assign V674365 = 0. assign V041087 = V118217 - 1. assign V182280 = V750991 + 1. assign V463340 = V913860. assign V342175 = V859261 - 1. assign V408647 = V754353 - 1. assign V382903 = V273534. assign V563057 = V109705. assign V399997 = V139489 + 1. assign V280060 = V045885 - 1. assign V499231 = V118217 + 1. assign V465938 = V823938 + 1. assign V226678 = V465938 + 1. assign V237896 = V348915 - 1. assign V212077 = V202359 + 1. assign V498019 = V707090 + 1. assign V105923 = V367267. assign V714777 = V986807 + 1. assign V118217 = V177649. assign V820345 = V744443. assign V332243 = V255056 + 1. assign V109705 = V419732 - 1. assign V852962 = V750991 + 1. assign V515302 = V238080. assign V294941 = V941598. assign V190927 = V291084 - 1. assign V828441 = V754353 + 1. assign V808514 = V139489 + 1. assign V786582 = V600990. assign V663583 = V740924 - 1. assign V352913 = V342175 + 1. assign V785804 = V740924 - 1. assign V024039 = V665402 - 1. assign V806387 = V109705 - 1. assign V823938 = V750991 - 1. assign V264290 = V045885. assign V067573 = V685410 + 1. assign V093512 = V874781. assign V948138 = V668245.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V844805 = V952774. assign V912773 = V093512 - 1. assign V160942 = V667495. assign V952774 = V754353. assign V881621 = V754353. assign V295114 = V237896. assign V594953 = V579362 + 1. assign V430043 = V041087 - 1. assign V716698 = V665402. assign V859261 = V420335. assign V257486 = V806387. assign V308445 = V056953 + 1. assign V383368 = V310957 + 1. assign V438622 = V569278 - 1. assign V647459 = V667495 + 1. assign V273534 = V430410. assign V615692 = V176948. assign V920598 = V348915. assign V865595 = V952774. assign V020619 = V647459 - 1. assign V202359 = V902429. assign V348915 = V465938 + 1. assign V579362 = V206402 - 1. assign V820148 = V823938 + 1. assign V938076 = V127553. assign V314298 = V826182 - 1. assign V718911 = V408931 + 1. assign V667495 = V823938. assign V142476 = V874781 - 1. assign V902429 = V823938 + 1. assign V472458 = V913860. assign V981168 = V237896 + 1. assign V143020 = V823938 + 1. assign V184812 = V206402 - 1. assign V913860 = V250302. assign V222164 = V119991 + 1. assign V310721 = V941598 - 1. assign V242948 = V443249 + 1. assign V176948 = V408647 - 1. assign V304531 = V166027 - 1. assign V206402 = V823938. assign V993269 = V740924. assign V061372 = V212595 - 1. assign V946391 = V119991 - 1. assign V497135 = V226678 + 1. assign V542689 = V948138 + 1. assign V492109 = V823938 + 1. assign V592547 = V273534. assign V926628 = V820345 + 1. assign V320284 = V859261. assign V118189 = V408647 - 1. assign V420335 = V177649. assign V875064 = V754353 + 1. assign V110032 = V974056 - 1. assign V554564 = V238080. assign V780257 = V006147 - 1. assign V269821 = V184812 + 1. assign V770977 = V744443. assign V127553 = V273534. assign V937475 = V492109 - 1. assign V433252 = V744443. assign V419732 = V592547. assign V520668 = V668245 + 1. assign V441395 = V143020 - 1. assign V139489 = V520668. assign V115179 = V127553 + 1. assign V408931 = V667495 + 1. assign V941598 = V127553 + 1. assign V006147 = V176948. assign V262108 = V443249 - 1. assign V012821 = V255056 + 1. assign V670423 = V206402 - 1. assign V443249 = V045885. assign V983038 = V367267 - 1. assign V188938 = V472458 - 1. assign V045885 = V083696. assign V028816 = V139489 - 1. assign V293092 = V663583 + 1. assign V067954 = V780257 + 1. assign V907841 = V269821. assign V673635 = V273534 - 1. assign V744443 = V273534. assign V600990 = V744443. assign V665402 = V118217. assign V569278 = V332243 - 1. assign V702165 = V744443 - 1. assign V965414 = V769096 + 1. assign V956713 = V674365 + 1. assign V283801 = V852962 + 1. assign V654638 = V067573 - 1. assign V740924 = V902429. assign V310957 = V746942 - 1. assign V192120 = V310512 - 1. assign V166027 = V750991 - 1. assign V212595 = V348915. assign V746942 = V465938 - 1. assign V060870 = V160942 - 1. assign V573319 = V920085. assign V754353 = V750991. assign V250302 = V754353 + 1. assign V840073 = V443249 + 1. assign V177649 = V668245 - 1. assign V291084 = V520668 + 1. assign V422265 = V750991 - 1. assign V978583 = V250302 + 1. assign V026129 = V667495 + 1. assign V974056 = V716698. assign V826182 = V492109 - 1. assign V083696 = V420335 - 1. assign V769096 = V820345. assign V056953 = V109705 - 1. assign V367267 = V045885. assign V750991 = V668245 - 1. assign V403433 = V569278 + 1. assign V707090 = V118217. assign V595241 = V408647 + 1. assign V391484 = V667495. assign V647813 = V109705. assign V986807 = V844805. assign V238080 = V465938 + 1. assign V763613 = V160942 - 1. assign V310512 = V668245 + 1. assign V255056 = V006147 + 1. assign V884517 = V542689 + 1. assign V119991 = V463340 - 1. assign V920085 = V828441 + 1. assign V443486 = V110032 + 1. assign V538231 = V685410 + 1. assign V137106 = V569278. assign V430410 = V902429. assign V404837 = V665402. assign V685410 = V273534 + 1. assign V874781 = V310957 - 1. assign V674365 = 0. assign V041087 = V118217 - 1. assign V182280 = V750991 + 1. assign V463340 = V913860. assign V342175 = V859261 - 1. assign V408647 = V754353 - 1. assign V382903 = V273534. assign V563057 = V109705. assign V399997 = V139489 + 1. assign V280060 = V045885 - 1. assign V499231 = V118217 + 1. assign V465938 = V823938 + 1. assign V226678 = V465938 + 1. assign V237896 = V348915 - 1. assign V212077 = V202359 + 1. assign V498019 = V707090 + 1. assign V105923 = V367267. assign V714777 = V986807 + 1. assign V118217 = V177649. assign V820345 = V744443. assign V332243 = V255056 + 1. assign V109705 = V419732 - 1. assign V852962 = V750991 + 1. assign V515302 = V238080. assign V294941 = V941598. assign V190927 = V291084 - 1. assign V828441 = V754353 + 1. assign V808514 = V139489 + 1. assign V786582 = V600990. assign V663583 = V740924 - 1. assign V352913 = V342175 + 1. assign V785804 = V740924 - 1. assign V024039 = V665402 - 1. assign V806387 = V109705 - 1. assign V823938 = V750991 - 1. assign V264290 = V045885. assign V067573 = V685410 + 1. assign V093512 = V874781. assign V948138 = V668245.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV674365 = 0;\n\nFrom these direct assignment(s), we have: \nV956713 = V674365 + 1 = 0 + 1 =1;\nNo other variables can be derived from V956713;\nNo other variables can be derived from V674365;\n\nNow we have done all the calculations. Derived variables are:\nV674365 = 0;\nV956713 = 1;\n\nNow we have finished this problem. ANSWER:\nV674365\n", "role": "assistant" } ]

[ "V267287", "V177621" ]

[ { "content": "<context>\nassign V868469 = V168567. assign V556570 = V306236. assign V170536 = V672652. assign V547784 = V606992. assign V354469 = V052514 + 1. assign V796027 = V227915 - 1. assign V187714 = V832485 - 1. assign V958008 = V535153 + 1. assign V865272 = V944326 - 1. assign V025186 = V537600 - 1. assign V980917 = V935834 - 1. assign V934285 = V573778 - 1. assign V895494 = V625509 + 1. assign V569517 = V324876. assign V699328 = V638951. assign V080172 = V934285. assign V581051 = V886118. assign V056718 = V434360. assign V259051 = V710341. assign V635986 = V261793 + 1. assign V609031 = V268166. assign V149003 = V301349 - 1. assign V751745 = V874725. assign V014327 = V585369 + 1. assign V306236 = V006271 + 1. assign V267287 = 5. assign V209840 = V637909 + 1. assign V492417 = V354469. assign V098578 = V120485. assign V410409 = V814436. assign V749243 = V447130 - 1. assign V784028 = V672652 - 1. assign V540992 = V592772. assign V934698 = V944326 + 1. assign V416684 = V972430 - 1. assign V089809 = V749243 + 1. assign V766498 = V638951 - 1. assign V655290 = V609031. assign V030861 = V632240 - 1. assign V820162 = V592772 + 1. assign V328905 = V842714 + 1. assign V407846 = V306236. assign V399089 = V616176 + 1. assign V718504 = V726405 - 1. assign V429851 = V813949 - 1. assign V832485 = V227915 - 1. assign V616176 = V751745 + 1. assign V823528 = V791479 - 1. assign V902799 = V120485. assign V052514 = V502017 + 1. assign V781185 = V791479. assign V502017 = V110832 - 1. assign V071316 = V540992 + 1. assign V264616 = V685318 + 1. assign V795475 = V842410 - 1. assign V205248 = V839353 + 1. assign V517550 = V110832 + 1. assign V726405 = V632240 + 1. assign V045271 = V354469 - 1. assign V227915 = V629676. assign V659052 = V791479. assign V672229 = V878562 + 1. assign V706516 = V791479 - 1. assign V537600 = V874725 + 1. assign V672652 = V629676 - 1. assign V177621 = V267287. assign V493688 = V791350 - 1. assign V495150 = V324876 + 1. assign V434360 = V268166 - 1. assign V180432 = V934698 - 1. assign V505437 = V696479. assign V447130 = V738070. assign V310025 = V502017 - 1. assign V606992 = V505437. assign V535153 = V170536 - 1. assign V268166 = V820162 - 1. assign V583709 = V447130. assign V572359 = V726405 - 1. assign V685318 = V512928 - 1. assign V909927 = V621739 + 1. assign V663523 = V874725 - 1. assign V628334 = V706516. assign V738070 = V632240 + 1. assign V621739 = V944326. assign V982395 = V616176. assign V878971 = V637909 - 1. assign V305239 = V301349 - 1. assign V950854 = V625509 + 1. assign V812117 = V187714. assign V215551 = V209840 - 1. assign V251114 = V552390 + 1. assign V944259 = V045580 - 1. assign V179198 = V779319. assign V702641 = V517550. assign V696917 = V194187. assign V839353 = V583709 + 1. assign V555930 = V902799 + 1. assign V120485 = V306236 + 1. assign V633160 = V839353 - 1. assign V314200 = V592772. assign V632240 = V751745 + 1. assign V168567 = V616176 + 1. assign V998344 = V447130 - 1. assign V687276 = V743773 + 1. assign V842714 = V696479. assign V573778 = V045271 + 1. assign V006271 = V535153. assign V710341 = V502017 + 1. assign V261793 = V738070. assign V696479 = V149003 + 1. assign V310840 = V710341 + 1. assign V805798 = V738070 + 1. assign V791350 = V517550 + 1. assign V637909 = V874725 + 1. assign V110832 = V592772 - 1. assign V720162 = V981779 + 1. assign V532341 = V844917. assign V429317 = V356249 + 1. assign V629676 = V512928 - 1. assign V610226 = V637909 + 1. assign V944326 = V540992. assign V585369 = V512928 + 1. assign V324876 = V944326. assign V392613 = V399089. assign V640246 = V268166. assign V301349 = V874725. assign V958979 = V592772 + 1. assign V270489 = V751745 - 1. assign V878562 = V629676. assign V431942 = V454713 - 1. assign V779319 = V502017. assign V842410 = V687276 - 1. assign V874725 = V512928. assign V011720 = V610226 + 1. assign V106902 = V080172 - 1. assign V935834 = V512928 + 1. assign V448216 = V495150. assign V953117 = V663523 + 1. assign V095080 = V842714 - 1. assign V785501 = V805798 - 1. assign V194187 = V540992 - 1. assign V178152 = V839353 - 1. assign V972430 = V874725. assign V656321 = V632240 - 1. assign V972582 = V573778 + 1. assign V232854 = V886118. assign V045580 = V874725 + 1. assign V814436 = V447130. assign V552390 = V052514 + 1. assign V237569 = V268166. assign V421753 = V505437 + 1. assign V208917 = V416684 + 1. assign V592772 = V751745. assign V813949 = V791479 - 1. assign V512196 = V517550 + 1. assign V844917 = V354469. assign V029710 = V781185 - 1. assign V244485 = V659052. assign V743773 = V187714 + 1. assign V981779 = V208917 + 1. assign V356249 = V168567 - 1. assign V209685 = V149003. assign V113753 = V179198 - 1. assign V429650 = V842410. assign V886118 = V261793 + 1. assign V791479 = V512928 + 1. assign V316279 = V781185 - 1. assign V638951 = V306236 + 1. assign V331248 = V495150 - 1. assign V168820 = V702641 + 1. assign V454713 = V685318. assign V625509 = V592772.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V868469 = V168567. assign V556570 = V306236. assign V170536 = V672652. assign V547784 = V606992. assign V354469 = V052514 + 1. assign V796027 = V227915 - 1. assign V187714 = V832485 - 1. assign V958008 = V535153 + 1. assign V865272 = V944326 - 1. assign V025186 = V537600 - 1. assign V980917 = V935834 - 1. assign V934285 = V573778 - 1. assign V895494 = V625509 + 1. assign V569517 = V324876. assign V699328 = V638951. assign V080172 = V934285. assign V581051 = V886118. assign V056718 = V434360. assign V259051 = V710341. assign V635986 = V261793 + 1. assign V609031 = V268166. assign V149003 = V301349 - 1. assign V751745 = V874725. assign V014327 = V585369 + 1. assign V306236 = V006271 + 1. assign V267287 = 5. assign V209840 = V637909 + 1. assign V492417 = V354469. assign V098578 = V120485. assign V410409 = V814436. assign V749243 = V447130 - 1. assign V784028 = V672652 - 1. assign V540992 = V592772. assign V934698 = V944326 + 1. assign V416684 = V972430 - 1. assign V089809 = V749243 + 1. assign V766498 = V638951 - 1. assign V655290 = V609031. assign V030861 = V632240 - 1. assign V820162 = V592772 + 1. assign V328905 = V842714 + 1. assign V407846 = V306236. assign V399089 = V616176 + 1. assign V718504 = V726405 - 1. assign V429851 = V813949 - 1. assign V832485 = V227915 - 1. assign V616176 = V751745 + 1. assign V823528 = V791479 - 1. assign V902799 = V120485. assign V052514 = V502017 + 1. assign V781185 = V791479. assign V502017 = V110832 - 1. assign V071316 = V540992 + 1. assign V264616 = V685318 + 1. assign V795475 = V842410 - 1. assign V205248 = V839353 + 1. assign V517550 = V110832 + 1. assign V726405 = V632240 + 1. assign V045271 = V354469 - 1. assign V227915 = V629676. assign V659052 = V791479. assign V672229 = V878562 + 1. assign V706516 = V791479 - 1. assign V537600 = V874725 + 1. assign V672652 = V629676 - 1. assign V177621 = V267287. assign V493688 = V791350 - 1. assign V495150 = V324876 + 1. assign V434360 = V268166 - 1. assign V180432 = V934698 - 1. assign V505437 = V696479. assign V447130 = V738070. assign V310025 = V502017 - 1. assign V606992 = V505437. assign V535153 = V170536 - 1. assign V268166 = V820162 - 1. assign V583709 = V447130. assign V572359 = V726405 - 1. assign V685318 = V512928 - 1. assign V909927 = V621739 + 1. assign V663523 = V874725 - 1. assign V628334 = V706516. assign V738070 = V632240 + 1. assign V621739 = V944326. assign V982395 = V616176. assign V878971 = V637909 - 1. assign V305239 = V301349 - 1. assign V950854 = V625509 + 1. assign V812117 = V187714. assign V215551 = V209840 - 1. assign V251114 = V552390 + 1. assign V944259 = V045580 - 1. assign V179198 = V779319. assign V702641 = V517550. assign V696917 = V194187. assign V839353 = V583709 + 1. assign V555930 = V902799 + 1. assign V120485 = V306236 + 1. assign V633160 = V839353 - 1. assign V314200 = V592772. assign V632240 = V751745 + 1. assign V168567 = V616176 + 1. assign V998344 = V447130 - 1. assign V687276 = V743773 + 1. assign V842714 = V696479. assign V573778 = V045271 + 1. assign V006271 = V535153. assign V710341 = V502017 + 1. assign V261793 = V738070. assign V696479 = V149003 + 1. assign V310840 = V710341 + 1. assign V805798 = V738070 + 1. assign V791350 = V517550 + 1. assign V637909 = V874725 + 1. assign V110832 = V592772 - 1. assign V720162 = V981779 + 1. assign V532341 = V844917. assign V429317 = V356249 + 1. assign V629676 = V512928 - 1. assign V610226 = V637909 + 1. assign V944326 = V540992. assign V585369 = V512928 + 1. assign V324876 = V944326. assign V392613 = V399089. assign V640246 = V268166. assign V301349 = V874725. assign V958979 = V592772 + 1. assign V270489 = V751745 - 1. assign V878562 = V629676. assign V431942 = V454713 - 1. assign V779319 = V502017. assign V842410 = V687276 - 1. assign V874725 = V512928. assign V011720 = V610226 + 1. assign V106902 = V080172 - 1. assign V935834 = V512928 + 1. assign V448216 = V495150. assign V953117 = V663523 + 1. assign V095080 = V842714 - 1. assign V785501 = V805798 - 1. assign V194187 = V540992 - 1. assign V178152 = V839353 - 1. assign V972430 = V874725. assign V656321 = V632240 - 1. assign V972582 = V573778 + 1. assign V232854 = V886118. assign V045580 = V874725 + 1. assign V814436 = V447130. assign V552390 = V052514 + 1. assign V237569 = V268166. assign V421753 = V505437 + 1. assign V208917 = V416684 + 1. assign V592772 = V751745. assign V813949 = V791479 - 1. assign V512196 = V517550 + 1. assign V844917 = V354469. assign V029710 = V781185 - 1. assign V244485 = V659052. assign V743773 = V187714 + 1. assign V981779 = V208917 + 1. assign V356249 = V168567 - 1. assign V209685 = V149003. assign V113753 = V179198 - 1. assign V429650 = V842410. assign V886118 = V261793 + 1. assign V791479 = V512928 + 1. assign V316279 = V781185 - 1. assign V638951 = V306236 + 1. assign V331248 = V495150 - 1. assign V168820 = V702641 + 1. assign V454713 = V685318. assign V625509 = V592772.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV267287 = 5;\n\nFrom these direct assignment(s), we have: \nV177621 = V267287 = 5;\nNo other variables can be derived from V177621;\nNo other variables can be derived from V267287;\n\nNow we have done all the calculations. Derived variables are:\nV267287 = 5;\nV177621 = 5;\n\nNow we have finished this problem. ANSWER:\nV267287, V177621\n", "role": "assistant" } ]

[ "V295615", "V580122" ]

[ { "content": "<context>\nassign V010073 = V867364. assign V787801 = V565591 - 1. assign V167482 = V619418 + 1. assign V826453 = V423078. assign V601607 = V113284 - 1. assign V742136 = V054520 + 1. assign V680500 = V794442 - 1. assign V903581 = V011986 - 1. assign V800190 = V723183. assign V067112 = V745413 + 1. assign V215164 = V999727 - 1. assign V158853 = V303060 - 1. assign V326512 = V511945 + 1. assign V786687 = V287381 - 1. assign V172491 = V029552 - 1. assign V768296 = V227472 + 1. assign V346659 = V080042 - 1. assign V395790 = V984854 - 1. assign V602962 = V041092. assign V580862 = V738405. assign V740763 = V635249 - 1. assign V423078 = V794442. assign V635249 = V227472 - 1. assign V026257 = V227472. assign V218880 = V054520 + 1. assign V867364 = V612959. assign V629433 = V938932 - 1. assign V984854 = V123059 - 1. assign V448573 = V580862. assign V115975 = V464187 + 1. assign V057097 = V565591. assign V066428 = V939205 - 1. assign V532771 = V054520 - 1. assign V162255 = V172491. assign V113284 = V971099. assign V490960 = V423078 + 1. assign V783901 = V798940. assign V656911 = V944803 + 1. assign V285739 = V911384. assign V495750 = V826453 - 1. assign V295926 = V728871. assign V688615 = V386632 + 1. assign V528494 = V514420 + 1. assign V938932 = V057097. assign V745413 = V773574. assign V728871 = V919165 - 1. assign V558823 = V303822. assign V377535 = V100830. assign V976234 = V497817 - 1. assign V748830 = V933490 + 1. assign V738405 = V497817. assign V979350 = V228601 - 1. assign V550843 = V748830 - 1. assign V740342 = V227472 + 1. assign V751611 = V481607 + 1. assign V266949 = V428642 + 1. assign V538509 = V497817 - 1. assign V354343 = V938932 + 1. assign V983789 = V123059 - 1. assign V511945 = V497817 + 1. assign V098757 = V798940 - 1. assign V565591 = V423078 + 1. assign V295615 = 6. assign V519506 = V147171 - 1. assign V303822 = V511945. assign V085788 = V511945. assign V715659 = V218880 - 1. assign V100830 = V113284 + 1. assign V228601 = V029552 - 1. assign V220740 = V630533 + 1. assign V497817 = V933490 - 1. assign V794442 = V933490 - 1. assign V726539 = V227472 - 1. assign V927125 = V257507. assign V508328 = V783901 + 1. assign V519746 = V147171. assign V428642 = V423078. assign V791147 = V054520. assign V288790 = V726539 - 1. assign V389865 = V220740 - 1. assign V723183 = V227472. assign V138821 = V288790 + 1. assign V913165 = V066428 - 1. assign V939205 = V911384 + 1. assign V575446 = V726420 + 1. assign V041092 = V436025 + 1. assign V196963 = V436025. assign V367877 = V123059 - 1. assign V966212 = V768296 + 1. assign V572221 = V423078 - 1. assign V319053 = V158853 + 1. assign V484617 = V428642 + 1. assign V136131 = V123059. assign V580122 = V295615. assign V692295 = V172491 + 1. assign V773574 = V423078 - 1. assign V398807 = V172491 - 1. assign V067324 = V423078 - 1. assign V569186 = V933490 - 1. assign V372076 = V026257 - 1. assign V789625 = V178007 - 1. assign V971099 = V428642 - 1. assign V954692 = V539891 - 1. assign V201661 = V287381 + 1. assign V534771 = V519746 + 1. assign V682850 = V826453 - 1. assign V539891 = V680500. assign V021768 = V178007 - 1. assign V688233 = V484617. assign V303060 = V147171 - 1. assign V386632 = V742136. assign V099812 = V021768. assign V644124 = V087901 + 1. assign V726420 = V772913 + 1. assign V328923 = V514420. assign V612959 = V178007 - 1. assign V798940 = V565591 - 1. assign V929005 = V745413 - 1. assign V646863 = V602962 + 1. assign V630533 = V798940 - 1. assign V116152 = V539891 + 1. assign V436025 = V218880 + 1. assign V344503 = V436025 - 1. assign V160709 = V768296. assign V339393 = V066428. assign V826933 = V113284 + 1. assign V330135 = V026257 - 1. assign V178007 = V933490 - 1. assign V338606 = V740342 - 1. assign V303417 = V682850 - 1. assign V487494 = V238471 + 1. assign V481806 = V136131. assign V203633 = V029552 + 1. assign V142094 = V723183 + 1. assign V056556 = V329049 - 1. assign V481607 = V977345. assign V011986 = V067112 - 1. assign V919165 = V944803 - 1. assign V977345 = V057097 + 1. assign V809961 = V066428. assign V110994 = V580862. assign V911384 = V495750 - 1. assign V287495 = V110994. assign V999727 = V497817 + 1. assign V392963 = V326512 - 1. assign V619418 = V142094. assign V080042 = V029552 - 1. assign V029552 = V911384 - 1. assign V464187 = V565591 - 1. assign V417743 = V550843 - 1. assign V714608 = V511945 + 1. assign V531630 = V138821. assign V381291 = V203633 + 1. assign V944803 = V976234 - 1. assign V054520 = V021768. assign V099347 = V159678 - 1. assign V997505 = V742136 - 1. assign V227472 = V287381 + 1. assign V257507 = V201661. assign V933279 = V976234. assign V147171 = V933490 + 1. assign V123059 = V329049 - 1. assign V087901 = V057097 - 1. assign V518037 = V238471 - 1. assign V514420 = V971099. assign V126750 = V794442. assign V238471 = V218880 + 1. assign V329049 = V794442 + 1. assign V159678 = V511945 + 1. assign V287381 = V794442 - 1. assign V772913 = V911384 - 1. assign V640171 = V158853 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V010073 = V867364. assign V787801 = V565591 - 1. assign V167482 = V619418 + 1. assign V826453 = V423078. assign V601607 = V113284 - 1. assign V742136 = V054520 + 1. assign V680500 = V794442 - 1. assign V903581 = V011986 - 1. assign V800190 = V723183. assign V067112 = V745413 + 1. assign V215164 = V999727 - 1. assign V158853 = V303060 - 1. assign V326512 = V511945 + 1. assign V786687 = V287381 - 1. assign V172491 = V029552 - 1. assign V768296 = V227472 + 1. assign V346659 = V080042 - 1. assign V395790 = V984854 - 1. assign V602962 = V041092. assign V580862 = V738405. assign V740763 = V635249 - 1. assign V423078 = V794442. assign V635249 = V227472 - 1. assign V026257 = V227472. assign V218880 = V054520 + 1. assign V867364 = V612959. assign V629433 = V938932 - 1. assign V984854 = V123059 - 1. assign V448573 = V580862. assign V115975 = V464187 + 1. assign V057097 = V565591. assign V066428 = V939205 - 1. assign V532771 = V054520 - 1. assign V162255 = V172491. assign V113284 = V971099. assign V490960 = V423078 + 1. assign V783901 = V798940. assign V656911 = V944803 + 1. assign V285739 = V911384. assign V495750 = V826453 - 1. assign V295926 = V728871. assign V688615 = V386632 + 1. assign V528494 = V514420 + 1. assign V938932 = V057097. assign V745413 = V773574. assign V728871 = V919165 - 1. assign V558823 = V303822. assign V377535 = V100830. assign V976234 = V497817 - 1. assign V748830 = V933490 + 1. assign V738405 = V497817. assign V979350 = V228601 - 1. assign V550843 = V748830 - 1. assign V740342 = V227472 + 1. assign V751611 = V481607 + 1. assign V266949 = V428642 + 1. assign V538509 = V497817 - 1. assign V354343 = V938932 + 1. assign V983789 = V123059 - 1. assign V511945 = V497817 + 1. assign V098757 = V798940 - 1. assign V565591 = V423078 + 1. assign V295615 = 6. assign V519506 = V147171 - 1. assign V303822 = V511945. assign V085788 = V511945. assign V715659 = V218880 - 1. assign V100830 = V113284 + 1. assign V228601 = V029552 - 1. assign V220740 = V630533 + 1. assign V497817 = V933490 - 1. assign V794442 = V933490 - 1. assign V726539 = V227472 - 1. assign V927125 = V257507. assign V508328 = V783901 + 1. assign V519746 = V147171. assign V428642 = V423078. assign V791147 = V054520. assign V288790 = V726539 - 1. assign V389865 = V220740 - 1. assign V723183 = V227472. assign V138821 = V288790 + 1. assign V913165 = V066428 - 1. assign V939205 = V911384 + 1. assign V575446 = V726420 + 1. assign V041092 = V436025 + 1. assign V196963 = V436025. assign V367877 = V123059 - 1. assign V966212 = V768296 + 1. assign V572221 = V423078 - 1. assign V319053 = V158853 + 1. assign V484617 = V428642 + 1. assign V136131 = V123059. assign V580122 = V295615. assign V692295 = V172491 + 1. assign V773574 = V423078 - 1. assign V398807 = V172491 - 1. assign V067324 = V423078 - 1. assign V569186 = V933490 - 1. assign V372076 = V026257 - 1. assign V789625 = V178007 - 1. assign V971099 = V428642 - 1. assign V954692 = V539891 - 1. assign V201661 = V287381 + 1. assign V534771 = V519746 + 1. assign V682850 = V826453 - 1. assign V539891 = V680500. assign V021768 = V178007 - 1. assign V688233 = V484617. assign V303060 = V147171 - 1. assign V386632 = V742136. assign V099812 = V021768. assign V644124 = V087901 + 1. assign V726420 = V772913 + 1. assign V328923 = V514420. assign V612959 = V178007 - 1. assign V798940 = V565591 - 1. assign V929005 = V745413 - 1. assign V646863 = V602962 + 1. assign V630533 = V798940 - 1. assign V116152 = V539891 + 1. assign V436025 = V218880 + 1. assign V344503 = V436025 - 1. assign V160709 = V768296. assign V339393 = V066428. assign V826933 = V113284 + 1. assign V330135 = V026257 - 1. assign V178007 = V933490 - 1. assign V338606 = V740342 - 1. assign V303417 = V682850 - 1. assign V487494 = V238471 + 1. assign V481806 = V136131. assign V203633 = V029552 + 1. assign V142094 = V723183 + 1. assign V056556 = V329049 - 1. assign V481607 = V977345. assign V011986 = V067112 - 1. assign V919165 = V944803 - 1. assign V977345 = V057097 + 1. assign V809961 = V066428. assign V110994 = V580862. assign V911384 = V495750 - 1. assign V287495 = V110994. assign V999727 = V497817 + 1. assign V392963 = V326512 - 1. assign V619418 = V142094. assign V080042 = V029552 - 1. assign V029552 = V911384 - 1. assign V464187 = V565591 - 1. assign V417743 = V550843 - 1. assign V714608 = V511945 + 1. assign V531630 = V138821. assign V381291 = V203633 + 1. assign V944803 = V976234 - 1. assign V054520 = V021768. assign V099347 = V159678 - 1. assign V997505 = V742136 - 1. assign V227472 = V287381 + 1. assign V257507 = V201661. assign V933279 = V976234. assign V147171 = V933490 + 1. assign V123059 = V329049 - 1. assign V087901 = V057097 - 1. assign V518037 = V238471 - 1. assign V514420 = V971099. assign V126750 = V794442. assign V238471 = V218880 + 1. assign V329049 = V794442 + 1. assign V159678 = V511945 + 1. assign V287381 = V794442 - 1. assign V772913 = V911384 - 1. assign V640171 = V158853 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV295615 = 6;\n\nFrom these direct assignment(s), we have: \nV580122 = V295615 = 6;\nNo other variables can be derived from V580122;\nNo other variables can be derived from V295615;\n\nNow we have done all the calculations. Derived variables are:\nV295615 = 6;\nV580122 = 6;\n\nNow we have finished this problem. ANSWER:\nV295615, V580122\n", "role": "assistant" } ]

[ "V968978" ]

[ { "content": "<context>\nassign V679386 = V189408. assign V185117 = V101502 + 1. assign V903835 = V869623. assign V924978 = V124242 - 1. assign V114608 = V401778 - 1. assign V079746 = V089662. assign V506443 = V141566. assign V384761 = V021907 + 1. assign V056658 = V043896 + 1. assign V382842 = V124242 - 1. assign V962090 = V023843 - 1. assign V815241 = V304181 - 1. assign V061394 = V043896 + 1. assign V343786 = V520743 + 1. assign V189408 = V081358 - 1. assign V946204 = V811305 - 1. assign V883611 = V066264 + 1. assign V749552 = V331564 - 1. assign V940163 = V816881 + 1. assign V856019 = 6. assign V150720 = V384761 - 1. assign V348090 = V944160 + 1. assign V901339 = V382842. assign V520743 = V869290. assign V139783 = V184161 + 1. assign V465756 = V150720. assign V488895 = V271897 - 1. assign V944160 = V909529. assign V049826 = V909529 + 1. assign V651740 = V063784 - 1. assign V271897 = V081358. assign V378558 = V654977. assign V824667 = V679386 - 1. assign V579231 = V909529. assign V721630 = V679386. assign V195648 = V969232 + 1. assign V081358 = V382842 - 1. assign V183893 = V909529. assign V689560 = V886491. assign V524606 = V270143 - 1. assign V159227 = V869623. assign V555577 = V066264. assign V406333 = V825751 + 1. assign V478667 = V422910. assign V988173 = V431954 + 1. assign V023843 = V070260 + 1. assign V886491 = V141351 + 1. assign V286546 = V094417 + 1. assign V127033 = V809191 - 1. assign V043896 = V189408 + 1. assign V021907 = V043896 - 1. assign V012467 = V258909 - 1. assign V228080 = V813774 - 1. assign V370851 = V021907 - 1. assign V141566 = V021907. assign V686778 = V869290 + 1. assign V920321 = V909529 + 1. assign V880719 = V869290 + 1. assign V224485 = V880719 - 1. assign V707176 = V881079. assign V285679 = V422910 - 1. assign V518470 = V349283. assign V909529 = V679386 + 1. assign V271717 = V520743 + 1. assign V397069 = V903835 + 1. assign V001311 = V854320. assign V457909 = V612533. assign V854320 = V811305. assign V440590 = V869623. assign V869290 = V189408 + 1. assign V093657 = V614005. assign V401778 = V070260 + 1. assign V786539 = V422910 - 1. assign V970109 = V880719 + 1. assign V778683 = V205741 + 1. assign V813774 = V880719. assign V612533 = V813569 + 1. assign V475843 = V224485 - 1. assign V728081 = V825751 + 1. assign V368550 = V605132. assign V510462 = V465389. assign V271090 = V431954. assign V605132 = V349283 + 1. assign V505087 = V382842 - 1. assign V101502 = V184161 + 1. assign V289476 = V081358 + 1. assign V181276 = V159227. assign V881079 = V043896 + 1. assign V312358 = V401778 - 1. assign V437570 = V478667. assign V235291 = V304350 + 1. assign V616981 = V868396. assign V270143 = V880719 + 1. assign V403079 = V256602 + 1. assign V266782 = V343786 + 1. assign V673042 = V475843 + 1. assign V923065 = V854320 + 1. assign V094417 = V401778 - 1. assign V422910 = V150720 - 1. assign V376296 = V518470 + 1. assign V716336 = V139783 - 1. assign V727433 = V270143. assign V920454 = V686778 - 1. assign V772761 = V944160 - 1. assign V895293 = V290085 - 1. assign V816881 = V183893 - 1. assign V840024 = V256602. assign V708548 = V478667 + 1. assign V969232 = V183893 + 1. assign V583169 = V349283 - 1. assign V994180 = V018228 + 1. assign V540080 = V646216. assign V256602 = V189408 + 1. assign V281512 = V880719 - 1. assign V291138 = V184161 + 1. assign V304350 = V063784 + 1. assign V811305 = V124242 - 1. assign V507878 = V524606 + 1. assign V894726 = V382842 - 1. assign V508292 = V962090. assign V635466 = V139783. assign V477756 = V023843 - 1. assign V168253 = V932497 + 1. assign V616122 = V909529 + 1. assign V809191 = V290085. assign V825751 = V081358 + 1. assign V654977 = V183893 + 1. assign V063784 = V043896 - 1. assign V142143 = V815241. assign V843131 = V811305. assign V614695 = V270143 - 1. assign V283175 = V909529. assign V431954 = V070260 - 1. assign V520442 = V382842. assign V465389 = V563453 - 1. assign V083407 = V840024. assign V018228 = V880719. assign V589893 = V563453 - 1. assign V508313 = V614005 - 1. assign V555117 = V403079 - 1. assign V184161 = V811305. assign V505342 = V183893 - 1. assign V956191 = V079746 - 1. assign V646216 = V616122. assign V258909 = V924978 + 1. assign V868396 = V946204. assign V794582 = V813774 - 1. assign V304181 = V349283 + 1. assign V205741 = V854320. assign V813569 = V880719 + 1. assign V869623 = V520743. assign V968978 = V856019 - 1. assign V331564 = V184161 - 1. assign V703184 = V304181 + 1. assign V614005 = V270143. assign V349283 = V679386. assign V095513 = V070260 + 1. assign V377037 = V794582. assign V943056 = V869290 - 1. assign V066264 = V189408 + 1. assign V932497 = V869290. assign V141351 = V159227 + 1. assign V649091 = V520743 + 1. assign V563453 = V304181 - 1. assign V692749 = V518470. assign V207044 = V056658 - 1. assign V089662 = V382842 - 1. assign V598914 = V932497 + 1. assign V290085 = V124242. assign V711320 = V070260 - 1. assign V603924 = V881079. assign V070260 = V854320.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V679386 = V189408. assign V185117 = V101502 + 1. assign V903835 = V869623. assign V924978 = V124242 - 1. assign V114608 = V401778 - 1. assign V079746 = V089662. assign V506443 = V141566. assign V384761 = V021907 + 1. assign V056658 = V043896 + 1. assign V382842 = V124242 - 1. assign V962090 = V023843 - 1. assign V815241 = V304181 - 1. assign V061394 = V043896 + 1. assign V343786 = V520743 + 1. assign V189408 = V081358 - 1. assign V946204 = V811305 - 1. assign V883611 = V066264 + 1. assign V749552 = V331564 - 1. assign V940163 = V816881 + 1. assign V856019 = 6. assign V150720 = V384761 - 1. assign V348090 = V944160 + 1. assign V901339 = V382842. assign V520743 = V869290. assign V139783 = V184161 + 1. assign V465756 = V150720. assign V488895 = V271897 - 1. assign V944160 = V909529. assign V049826 = V909529 + 1. assign V651740 = V063784 - 1. assign V271897 = V081358. assign V378558 = V654977. assign V824667 = V679386 - 1. assign V579231 = V909529. assign V721630 = V679386. assign V195648 = V969232 + 1. assign V081358 = V382842 - 1. assign V183893 = V909529. assign V689560 = V886491. assign V524606 = V270143 - 1. assign V159227 = V869623. assign V555577 = V066264. assign V406333 = V825751 + 1. assign V478667 = V422910. assign V988173 = V431954 + 1. assign V023843 = V070260 + 1. assign V886491 = V141351 + 1. assign V286546 = V094417 + 1. assign V127033 = V809191 - 1. assign V043896 = V189408 + 1. assign V021907 = V043896 - 1. assign V012467 = V258909 - 1. assign V228080 = V813774 - 1. assign V370851 = V021907 - 1. assign V141566 = V021907. assign V686778 = V869290 + 1. assign V920321 = V909529 + 1. assign V880719 = V869290 + 1. assign V224485 = V880719 - 1. assign V707176 = V881079. assign V285679 = V422910 - 1. assign V518470 = V349283. assign V909529 = V679386 + 1. assign V271717 = V520743 + 1. assign V397069 = V903835 + 1. assign V001311 = V854320. assign V457909 = V612533. assign V854320 = V811305. assign V440590 = V869623. assign V869290 = V189408 + 1. assign V093657 = V614005. assign V401778 = V070260 + 1. assign V786539 = V422910 - 1. assign V970109 = V880719 + 1. assign V778683 = V205741 + 1. assign V813774 = V880719. assign V612533 = V813569 + 1. assign V475843 = V224485 - 1. assign V728081 = V825751 + 1. assign V368550 = V605132. assign V510462 = V465389. assign V271090 = V431954. assign V605132 = V349283 + 1. assign V505087 = V382842 - 1. assign V101502 = V184161 + 1. assign V289476 = V081358 + 1. assign V181276 = V159227. assign V881079 = V043896 + 1. assign V312358 = V401778 - 1. assign V437570 = V478667. assign V235291 = V304350 + 1. assign V616981 = V868396. assign V270143 = V880719 + 1. assign V403079 = V256602 + 1. assign V266782 = V343786 + 1. assign V673042 = V475843 + 1. assign V923065 = V854320 + 1. assign V094417 = V401778 - 1. assign V422910 = V150720 - 1. assign V376296 = V518470 + 1. assign V716336 = V139783 - 1. assign V727433 = V270143. assign V920454 = V686778 - 1. assign V772761 = V944160 - 1. assign V895293 = V290085 - 1. assign V816881 = V183893 - 1. assign V840024 = V256602. assign V708548 = V478667 + 1. assign V969232 = V183893 + 1. assign V583169 = V349283 - 1. assign V994180 = V018228 + 1. assign V540080 = V646216. assign V256602 = V189408 + 1. assign V281512 = V880719 - 1. assign V291138 = V184161 + 1. assign V304350 = V063784 + 1. assign V811305 = V124242 - 1. assign V507878 = V524606 + 1. assign V894726 = V382842 - 1. assign V508292 = V962090. assign V635466 = V139783. assign V477756 = V023843 - 1. assign V168253 = V932497 + 1. assign V616122 = V909529 + 1. assign V809191 = V290085. assign V825751 = V081358 + 1. assign V654977 = V183893 + 1. assign V063784 = V043896 - 1. assign V142143 = V815241. assign V843131 = V811305. assign V614695 = V270143 - 1. assign V283175 = V909529. assign V431954 = V070260 - 1. assign V520442 = V382842. assign V465389 = V563453 - 1. assign V083407 = V840024. assign V018228 = V880719. assign V589893 = V563453 - 1. assign V508313 = V614005 - 1. assign V555117 = V403079 - 1. assign V184161 = V811305. assign V505342 = V183893 - 1. assign V956191 = V079746 - 1. assign V646216 = V616122. assign V258909 = V924978 + 1. assign V868396 = V946204. assign V794582 = V813774 - 1. assign V304181 = V349283 + 1. assign V205741 = V854320. assign V813569 = V880719 + 1. assign V869623 = V520743. assign V968978 = V856019 - 1. assign V331564 = V184161 - 1. assign V703184 = V304181 + 1. assign V614005 = V270143. assign V349283 = V679386. assign V095513 = V070260 + 1. assign V377037 = V794582. assign V943056 = V869290 - 1. assign V066264 = V189408 + 1. assign V932497 = V869290. assign V141351 = V159227 + 1. assign V649091 = V520743 + 1. assign V563453 = V304181 - 1. assign V692749 = V518470. assign V207044 = V056658 - 1. assign V089662 = V382842 - 1. assign V598914 = V932497 + 1. assign V290085 = V124242. assign V711320 = V070260 - 1. assign V603924 = V881079. assign V070260 = V854320.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV856019 = 6;\n\nFrom these direct assignment(s), we have: \nV968978 = V856019 - 1 = 6 - 1 =5;\nNo other variables can be derived from V968978;\nNo other variables can be derived from V856019;\n\nNow we have done all the calculations. Derived variables are:\nV856019 = 6;\nV968978 = 5;\n\nNow we have finished this problem. ANSWER:\nV968978\n", "role": "assistant" } ]

[ "V057991" ]

[ { "content": "<context>\nassign V825666 = V822776 - 1. assign V283686 = V737601 + 1. assign V416482 = V506020 + 1. assign V719088 = V218319 - 1. assign V061143 = V318095 + 1. assign V622430 = V745902 + 1. assign V482221 = V116539. assign V718225 = V243350 - 1. assign V012125 = V663868 - 1. assign V243306 = V694722 - 1. assign V550574 = V061143 + 1. assign V326082 = V718225 + 1. assign V064360 = V506020 - 1. assign V737601 = V064360 + 1. assign V884860 = V765345. assign V906005 = V182032 + 1. assign V038465 = V416482 + 1. assign V068844 = V482299 - 1. assign V265220 = V151134 + 1. assign V741119 = V012125 + 1. assign V547426 = V997073 + 1. assign V319111 = V384119 - 1. assign V952529 = V218319 + 1. assign V947732 = V116539 + 1. assign V182032 = V251352. assign V778134 = V285757 + 1. assign V675299 = V251352 + 1. assign V845220 = V367710. assign V204308 = V622430 - 1. assign V318095 = V506020 - 1. assign V089865 = V824043 + 1. assign V482299 = V741119. assign V532972 = V506020 - 1. assign V934536 = V004849. assign V098577 = V387363 - 1. assign V542031 = V032599 - 1. assign V436720 = V550574 - 1. assign V004268 = V179097 + 1. assign V251352 = V151134 + 1. assign V387945 = V513133 + 1. assign V292430 = V745902 - 1. assign V645987 = V318095 + 1. assign V151810 = V012125 - 1. assign V995591 = V460339. assign V271860 = V467429. assign V145903 = V265220 + 1. assign V344212 = V845220 + 1. assign V822776 = V775041. assign V235571 = V947732. assign V442551 = V645987 + 1. assign V397561 = V130073 + 1. assign V386257 = V952529 - 1. assign V379456 = V182630 - 1. assign V539032 = V235571. assign V904880 = V117734 + 1. assign V791439 = V513133 + 1. assign V390895 = V568661. assign V558578 = V386257 + 1. assign V934688 = V019748 + 1. assign V186085 = V528502 - 1. assign V859715 = V370581. assign V903110 = V947732 + 1. assign V288099 = V745902 + 1. assign V663868 = V027866. assign V053541 = V745902 + 1. assign V116539 = V218319 + 1. assign V997073 = V384119 + 1. assign V596834 = V204308 + 1. assign V415641 = V361844. assign V052151 = V151134. assign V297170 = V952529 - 1. assign V911460 = V513133 - 1. assign V549106 = V285757 - 1. assign V019748 = V506020. assign V530790 = V825904 + 1. assign V117442 = V051579 + 1. assign V679569 = V135435 + 1. assign V027866 = V098577. assign V528502 = V051579. assign V261913 = V703204 + 1. assign V000407 = V204308 - 1. assign V341751 = V218319 - 1. assign V850026 = V765345. assign V276228 = V532972. assign V367710 = V717889 - 1. assign V703204 = V098577. assign V783416 = V884860 - 1. assign V292170 = V436720 - 1. assign V417362 = V098577 + 1. assign V694722 = V116539 + 1. assign V243350 = V852820. assign V756614 = V622430 - 1. assign V360881 = V440126 - 1. assign V542210 = V778134 + 1. assign V540759 = V386257 - 1. assign V785660 = V265220 - 1. assign V482726 = V117734 - 1. assign V387363 = V019748. assign V367944 = V679569 + 1. assign V722652 = V341454 - 1. assign V824043 = V756614 + 1. assign V467429 = V952529 - 1. assign V510558 = V475166 + 1. assign V865061 = V560446 - 1. assign V492659 = V318095 + 1. assign V777999 = V532972 - 1. assign V004849 = V387363 - 1. assign V295572 = V845220 + 1. assign V143029 = V568661. assign V582360 = V845220. assign V415051 = V367944 + 1. assign V451359 = V952529. assign V280507 = 10. assign V765345 = V737601. assign V544759 = V117734. assign V411686 = V064360 + 1. assign V475166 = V549106. assign V149738 = V451359 - 1. assign V460339 = V098577 - 1. assign V179097 = V436720 - 1. assign V887994 = V098577 - 1. assign V201166 = V163957. assign V218319 = V506020 - 1. assign V347932 = V506020 - 1. assign V151134 = V116539. assign V440126 = V475166 + 1. assign V852820 = V791439. assign V656063 = V775041 - 1. assign V262904 = V387945. assign V775041 = V387363 - 1. assign V312687 = V560446 - 1. assign V058979 = V903110 - 1. assign V717889 = V745902 + 1. assign V393438 = V532972. assign V182630 = V679569 - 1. assign V135435 = V947732 + 1. assign V733209 = V411686 + 1. assign V438789 = V106323. assign V193987 = V218319 - 1. assign V285757 = V822776 + 1. assign V176549 = V116539 - 1. assign V341454 = V135435 - 1. assign V825904 = V061143 - 1. assign V745902 = V387363. assign V481740 = V492659 - 1. assign V117734 = V151134. assign V057991 = V280507 + 1. assign V855887 = V063183 + 1. assign V249706 = V544759 - 1. assign V370581 = V318095 + 1. assign V421938 = V822776. assign V676943 = V367944 - 1. assign V206200 = V064360. assign V106323 = V027866. assign V163957 = V151134 - 1. assign V856939 = V622430 + 1. assign V903433 = V116539. assign V946479 = V218319. assign V560446 = V271860 + 1. assign V032599 = V824043 + 1. assign V063183 = V438789 - 1. assign V828967 = V482221. assign V384119 = V052151. assign V051579 = V367944. assign V130073 = V442551 + 1. assign V849425 = V719088. assign V182001 = V506020 + 1. assign V361844 = V745902 - 1. assign V513133 = V318095. assign V568661 = V845220 + 1. assign V311565 = V052151 + 1. assign V973054 = V421938 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V825666 = V822776 - 1. assign V283686 = V737601 + 1. assign V416482 = V506020 + 1. assign V719088 = V218319 - 1. assign V061143 = V318095 + 1. assign V622430 = V745902 + 1. assign V482221 = V116539. assign V718225 = V243350 - 1. assign V012125 = V663868 - 1. assign V243306 = V694722 - 1. assign V550574 = V061143 + 1. assign V326082 = V718225 + 1. assign V064360 = V506020 - 1. assign V737601 = V064360 + 1. assign V884860 = V765345. assign V906005 = V182032 + 1. assign V038465 = V416482 + 1. assign V068844 = V482299 - 1. assign V265220 = V151134 + 1. assign V741119 = V012125 + 1. assign V547426 = V997073 + 1. assign V319111 = V384119 - 1. assign V952529 = V218319 + 1. assign V947732 = V116539 + 1. assign V182032 = V251352. assign V778134 = V285757 + 1. assign V675299 = V251352 + 1. assign V845220 = V367710. assign V204308 = V622430 - 1. assign V318095 = V506020 - 1. assign V089865 = V824043 + 1. assign V482299 = V741119. assign V532972 = V506020 - 1. assign V934536 = V004849. assign V098577 = V387363 - 1. assign V542031 = V032599 - 1. assign V436720 = V550574 - 1. assign V004268 = V179097 + 1. assign V251352 = V151134 + 1. assign V387945 = V513133 + 1. assign V292430 = V745902 - 1. assign V645987 = V318095 + 1. assign V151810 = V012125 - 1. assign V995591 = V460339. assign V271860 = V467429. assign V145903 = V265220 + 1. assign V344212 = V845220 + 1. assign V822776 = V775041. assign V235571 = V947732. assign V442551 = V645987 + 1. assign V397561 = V130073 + 1. assign V386257 = V952529 - 1. assign V379456 = V182630 - 1. assign V539032 = V235571. assign V904880 = V117734 + 1. assign V791439 = V513133 + 1. assign V390895 = V568661. assign V558578 = V386257 + 1. assign V934688 = V019748 + 1. assign V186085 = V528502 - 1. assign V859715 = V370581. assign V903110 = V947732 + 1. assign V288099 = V745902 + 1. assign V663868 = V027866. assign V053541 = V745902 + 1. assign V116539 = V218319 + 1. assign V997073 = V384119 + 1. assign V596834 = V204308 + 1. assign V415641 = V361844. assign V052151 = V151134. assign V297170 = V952529 - 1. assign V911460 = V513133 - 1. assign V549106 = V285757 - 1. assign V019748 = V506020. assign V530790 = V825904 + 1. assign V117442 = V051579 + 1. assign V679569 = V135435 + 1. assign V027866 = V098577. assign V528502 = V051579. assign V261913 = V703204 + 1. assign V000407 = V204308 - 1. assign V341751 = V218319 - 1. assign V850026 = V765345. assign V276228 = V532972. assign V367710 = V717889 - 1. assign V703204 = V098577. assign V783416 = V884860 - 1. assign V292170 = V436720 - 1. assign V417362 = V098577 + 1. assign V694722 = V116539 + 1. assign V243350 = V852820. assign V756614 = V622430 - 1. assign V360881 = V440126 - 1. assign V542210 = V778134 + 1. assign V540759 = V386257 - 1. assign V785660 = V265220 - 1. assign V482726 = V117734 - 1. assign V387363 = V019748. assign V367944 = V679569 + 1. assign V722652 = V341454 - 1. assign V824043 = V756614 + 1. assign V467429 = V952529 - 1. assign V510558 = V475166 + 1. assign V865061 = V560446 - 1. assign V492659 = V318095 + 1. assign V777999 = V532972 - 1. assign V004849 = V387363 - 1. assign V295572 = V845220 + 1. assign V143029 = V568661. assign V582360 = V845220. assign V415051 = V367944 + 1. assign V451359 = V952529. assign V280507 = 10. assign V765345 = V737601. assign V544759 = V117734. assign V411686 = V064360 + 1. assign V475166 = V549106. assign V149738 = V451359 - 1. assign V460339 = V098577 - 1. assign V179097 = V436720 - 1. assign V887994 = V098577 - 1. assign V201166 = V163957. assign V218319 = V506020 - 1. assign V347932 = V506020 - 1. assign V151134 = V116539. assign V440126 = V475166 + 1. assign V852820 = V791439. assign V656063 = V775041 - 1. assign V262904 = V387945. assign V775041 = V387363 - 1. assign V312687 = V560446 - 1. assign V058979 = V903110 - 1. assign V717889 = V745902 + 1. assign V393438 = V532972. assign V182630 = V679569 - 1. assign V135435 = V947732 + 1. assign V733209 = V411686 + 1. assign V438789 = V106323. assign V193987 = V218319 - 1. assign V285757 = V822776 + 1. assign V176549 = V116539 - 1. assign V341454 = V135435 - 1. assign V825904 = V061143 - 1. assign V745902 = V387363. assign V481740 = V492659 - 1. assign V117734 = V151134. assign V057991 = V280507 + 1. assign V855887 = V063183 + 1. assign V249706 = V544759 - 1. assign V370581 = V318095 + 1. assign V421938 = V822776. assign V676943 = V367944 - 1. assign V206200 = V064360. assign V106323 = V027866. assign V163957 = V151134 - 1. assign V856939 = V622430 + 1. assign V903433 = V116539. assign V946479 = V218319. assign V560446 = V271860 + 1. assign V032599 = V824043 + 1. assign V063183 = V438789 - 1. assign V828967 = V482221. assign V384119 = V052151. assign V051579 = V367944. assign V130073 = V442551 + 1. assign V849425 = V719088. assign V182001 = V506020 + 1. assign V361844 = V745902 - 1. assign V513133 = V318095. assign V568661 = V845220 + 1. assign V311565 = V052151 + 1. assign V973054 = V421938 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV280507 = 10;\n\nFrom these direct assignment(s), we have: \nV057991 = V280507 + 1 = 10 + 1 =11;\nNo other variables can be derived from V057991;\nNo other variables can be derived from V280507;\n\nNow we have done all the calculations. Derived variables are:\nV280507 = 10;\nV057991 = 11;\n\nNow we have finished this problem. ANSWER:\nV057991\n", "role": "assistant" } ]

[ "V270234", "V491463" ]

[ { "content": "<context>\nassign V566837 = V478373 + 1. assign V250572 = V468755 - 1. assign V329194 = V257710 + 1. assign V281662 = V464691 - 1. assign V235226 = V377558 - 1. assign V520389 = V888941 + 1. assign V819827 = V663334 - 1. assign V978886 = V145455 + 1. assign V997282 = V715347 + 1. assign V426646 = V166976. assign V398111 = V401958 - 1. assign V184039 = V022089. assign V837677 = V401958 - 1. assign V836051 = V797554 + 1. assign V412756 = V885367 - 1. assign V350132 = V235757 + 1. assign V663334 = V384724. assign V580607 = V646029 - 1. assign V973303 = V547590 - 1. assign V939128 = V118852 + 1. assign V415560 = V946789 + 1. assign V720747 = V888941. assign V502359 = V478373 + 1. assign V810810 = V183237 + 1. assign V468755 = V167572 - 1. assign V378406 = V373218 + 1. assign V966621 = V388531 + 1. assign V123134 = V166976. assign V549979 = V839850 - 1. assign V767358 = V958830 + 1. assign V824957 = V016279. assign V547590 = V869995 + 1. assign V321895 = V810810. assign V177380 = V022089. assign V052612 = V016279 + 1. assign V606270 = V398111 + 1. assign V646029 = V230683. assign V815040 = V478373 - 1. assign V846763 = V920432 + 1. assign V748849 = V541338. assign V691810 = V797554 - 1. assign V888941 = V350132. assign V715347 = V547590 - 1. assign V354502 = V154292 - 1. assign V600521 = V106515. assign V137673 = V920432 + 1. assign V166976 = V079597 - 1. assign V639122 = V499885. assign V421883 = V715347 + 1. assign V146184 = V298118. assign V715228 = V102958 - 1. assign V478373 = V797670 - 1. assign V106515 = V797670 + 1. assign V734477 = V106145 + 1. assign V118852 = V401958. assign V339496 = V502359 - 1. assign V861817 = V846763 - 1. assign V355003 = V754676. assign V655905 = V329194 - 1. assign V363604 = V427023 - 1. assign V766528 = V869995 - 1. assign V373218 = V235757 - 1. assign V021499 = V797670 - 1. assign V902566 = V143877. assign V087316 = V939128. assign V079597 = V016279 + 1. assign V773160 = V427023. assign V639038 = V368467 - 1. assign V811901 = V639122 - 1. assign V978477 = V478373 - 1. assign V696506 = V639122. assign V466769 = V991916 + 1. assign V668039 = V885367 + 1. assign V503465 = V655905. assign V488678 = V607321 - 1. assign V684636 = V689213 + 1. assign V478417 = V230683. assign V456208 = V696506 + 1. assign V143877 = V920432 - 1. assign V167572 = V384724 + 1. assign V058086 = V580607. assign V102958 = V869995. assign V464691 = V350132 + 1. assign V541338 = V118852 + 1. assign V083235 = V591978 - 1. assign V401958 = V766528 - 1. assign V989545 = V846763. assign V837905 = V235757 + 1. assign V592324 = V166976 - 1. assign V003908 = V748849. assign V183237 = V500996 - 1. assign V958830 = V635496 + 1. assign V797554 = V022089 - 1. assign V377558 = V118852 - 1. assign V256589 = V353663 + 1. assign V491463 = V270234. assign V141387 = V347747 + 1. assign V574752 = V426646 - 1. assign V270234 = 9. assign V809133 = V713426 - 1. assign V203875 = V401958 - 1. assign V384724 = V016279 - 1. assign V885367 = V377558 + 1. assign V022089 = V377558. assign V427023 = V235757. assign V689244 = V083235 + 1. assign V683815 = V715347 - 1. assign V037040 = V869995. assign V744920 = V797554 - 1. assign V453150 = V427023 - 1. assign V174355 = V488678 + 1. assign V166463 = V455930 + 1. assign V988377 = V118852 + 1. assign V244011 = V016279. assign V797670 = V607321. assign V264731 = V323078 - 1. assign V607321 = V427023. assign V381811 = V474258 + 1. assign V439235 = V646029 - 1. assign V991916 = V016279 + 1. assign V235757 = V754676. assign V474258 = V639122 - 1. assign V841575 = V137673 + 1. assign V713426 = V824957 - 1. assign V653303 = V257710 - 1. assign V079231 = V244011. assign V100443 = V994572 + 1. assign V635496 = V427023 + 1. assign V973073 = V766528 + 1. assign V839850 = V754676. assign V689213 = V398111 - 1. assign V368467 = V635496 - 1. assign V609282 = V240245 - 1. assign V661854 = V754676 + 1. assign V014738 = V321895 - 1. assign V946789 = V646029 + 1. assign V883300 = V137673. assign V323078 = V973303 - 1. assign V700953 = V347747 + 1. assign V220578 = V230683. assign V133513 = V836051. assign V257710 = V347747 - 1. assign V073435 = V087316 - 1. assign V499885 = V715347 - 1. assign V230683 = V869995 - 1. assign V591978 = V946789 + 1. assign V416740 = V384724 - 1. assign V197352 = V363604. assign V298118 = V715228 + 1. assign V016279 = V500996. assign V455930 = V754676. assign V083847 = V549979. assign V154292 = V939128 - 1. assign V092934 = V197352 - 1. assign V052606 = V684636 - 1. assign V157695 = V321895. assign V754676 = V547590 - 1. assign V920432 = V549979 + 1. assign V347747 = V388531. assign V215601 = V499885 - 1. assign V008321 = V021499 + 1. assign V106145 = V966621 + 1. assign V855590 = V353663 + 1. assign V240245 = V663334. assign V994572 = V488678 + 1. assign V145455 = V547590 - 1. assign V353663 = V455930. assign V255505 = V474258 - 1. assign V759516 = V646029. assign V500996 = V973303 - 1. assign V388531 = V427023. assign V071642 = V988377 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V566837 = V478373 + 1. assign V250572 = V468755 - 1. assign V329194 = V257710 + 1. assign V281662 = V464691 - 1. assign V235226 = V377558 - 1. assign V520389 = V888941 + 1. assign V819827 = V663334 - 1. assign V978886 = V145455 + 1. assign V997282 = V715347 + 1. assign V426646 = V166976. assign V398111 = V401958 - 1. assign V184039 = V022089. assign V837677 = V401958 - 1. assign V836051 = V797554 + 1. assign V412756 = V885367 - 1. assign V350132 = V235757 + 1. assign V663334 = V384724. assign V580607 = V646029 - 1. assign V973303 = V547590 - 1. assign V939128 = V118852 + 1. assign V415560 = V946789 + 1. assign V720747 = V888941. assign V502359 = V478373 + 1. assign V810810 = V183237 + 1. assign V468755 = V167572 - 1. assign V378406 = V373218 + 1. assign V966621 = V388531 + 1. assign V123134 = V166976. assign V549979 = V839850 - 1. assign V767358 = V958830 + 1. assign V824957 = V016279. assign V547590 = V869995 + 1. assign V321895 = V810810. assign V177380 = V022089. assign V052612 = V016279 + 1. assign V606270 = V398111 + 1. assign V646029 = V230683. assign V815040 = V478373 - 1. assign V846763 = V920432 + 1. assign V748849 = V541338. assign V691810 = V797554 - 1. assign V888941 = V350132. assign V715347 = V547590 - 1. assign V354502 = V154292 - 1. assign V600521 = V106515. assign V137673 = V920432 + 1. assign V166976 = V079597 - 1. assign V639122 = V499885. assign V421883 = V715347 + 1. assign V146184 = V298118. assign V715228 = V102958 - 1. assign V478373 = V797670 - 1. assign V106515 = V797670 + 1. assign V734477 = V106145 + 1. assign V118852 = V401958. assign V339496 = V502359 - 1. assign V861817 = V846763 - 1. assign V355003 = V754676. assign V655905 = V329194 - 1. assign V363604 = V427023 - 1. assign V766528 = V869995 - 1. assign V373218 = V235757 - 1. assign V021499 = V797670 - 1. assign V902566 = V143877. assign V087316 = V939128. assign V079597 = V016279 + 1. assign V773160 = V427023. assign V639038 = V368467 - 1. assign V811901 = V639122 - 1. assign V978477 = V478373 - 1. assign V696506 = V639122. assign V466769 = V991916 + 1. assign V668039 = V885367 + 1. assign V503465 = V655905. assign V488678 = V607321 - 1. assign V684636 = V689213 + 1. assign V478417 = V230683. assign V456208 = V696506 + 1. assign V143877 = V920432 - 1. assign V167572 = V384724 + 1. assign V058086 = V580607. assign V102958 = V869995. assign V464691 = V350132 + 1. assign V541338 = V118852 + 1. assign V083235 = V591978 - 1. assign V401958 = V766528 - 1. assign V989545 = V846763. assign V837905 = V235757 + 1. assign V592324 = V166976 - 1. assign V003908 = V748849. assign V183237 = V500996 - 1. assign V958830 = V635496 + 1. assign V797554 = V022089 - 1. assign V377558 = V118852 - 1. assign V256589 = V353663 + 1. assign V491463 = V270234. assign V141387 = V347747 + 1. assign V574752 = V426646 - 1. assign V270234 = 9. assign V809133 = V713426 - 1. assign V203875 = V401958 - 1. assign V384724 = V016279 - 1. assign V885367 = V377558 + 1. assign V022089 = V377558. assign V427023 = V235757. assign V689244 = V083235 + 1. assign V683815 = V715347 - 1. assign V037040 = V869995. assign V744920 = V797554 - 1. assign V453150 = V427023 - 1. assign V174355 = V488678 + 1. assign V166463 = V455930 + 1. assign V988377 = V118852 + 1. assign V244011 = V016279. assign V797670 = V607321. assign V264731 = V323078 - 1. assign V607321 = V427023. assign V381811 = V474258 + 1. assign V439235 = V646029 - 1. assign V991916 = V016279 + 1. assign V235757 = V754676. assign V474258 = V639122 - 1. assign V841575 = V137673 + 1. assign V713426 = V824957 - 1. assign V653303 = V257710 - 1. assign V079231 = V244011. assign V100443 = V994572 + 1. assign V635496 = V427023 + 1. assign V973073 = V766528 + 1. assign V839850 = V754676. assign V689213 = V398111 - 1. assign V368467 = V635496 - 1. assign V609282 = V240245 - 1. assign V661854 = V754676 + 1. assign V014738 = V321895 - 1. assign V946789 = V646029 + 1. assign V883300 = V137673. assign V323078 = V973303 - 1. assign V700953 = V347747 + 1. assign V220578 = V230683. assign V133513 = V836051. assign V257710 = V347747 - 1. assign V073435 = V087316 - 1. assign V499885 = V715347 - 1. assign V230683 = V869995 - 1. assign V591978 = V946789 + 1. assign V416740 = V384724 - 1. assign V197352 = V363604. assign V298118 = V715228 + 1. assign V016279 = V500996. assign V455930 = V754676. assign V083847 = V549979. assign V154292 = V939128 - 1. assign V092934 = V197352 - 1. assign V052606 = V684636 - 1. assign V157695 = V321895. assign V754676 = V547590 - 1. assign V920432 = V549979 + 1. assign V347747 = V388531. assign V215601 = V499885 - 1. assign V008321 = V021499 + 1. assign V106145 = V966621 + 1. assign V855590 = V353663 + 1. assign V240245 = V663334. assign V994572 = V488678 + 1. assign V145455 = V547590 - 1. assign V353663 = V455930. assign V255505 = V474258 - 1. assign V759516 = V646029. assign V500996 = V973303 - 1. assign V388531 = V427023. assign V071642 = V988377 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV270234 = 9;\n\nFrom these direct assignment(s), we have: \nV491463 = V270234 = 9;\nNo other variables can be derived from V491463;\nNo other variables can be derived from V270234;\n\nNow we have done all the calculations. Derived variables are:\nV270234 = 9;\nV491463 = 9;\n\nNow we have finished this problem. ANSWER:\nV270234, V491463\n", "role": "assistant" } ]

[ "V632145" ]

[ { "content": "<context>\nassign V626082 = V373726 + 1. assign V681001 = V582653. assign V975216 = V339953 - 1. assign V043509 = V827153 + 1. assign V198729 = V636530 + 1. assign V670987 = V902481 + 1. assign V207612 = V218471. assign V970665 = V102322 + 1. assign V384812 = V344737 + 1. assign V807782 = V690310. assign V950730 = V775037. assign V861364 = V614699 - 1. assign V294321 = V735875. assign V375113 = V286368 + 1. assign V696247 = V632145 - 1. assign V564103 = V074920. assign V021973 = V382102. assign V926962 = V121185 - 1. assign V216115 = V042207 + 1. assign V814921 = V818732 - 1. assign V968422 = V846611. assign V594898 = V312598 - 1. assign V923164 = V387677. assign V867640 = V185746 - 1. assign V010226 = V789163 + 1. assign V648476 = V636530. assign V807594 = V484080 - 1. assign V450362 = V198729 - 1. assign V672630 = V438771. assign V632145 = 8. assign V278352 = V775037 - 1. assign V249087 = V344737. assign V507724 = V424774 + 1. assign V218471 = V672630 + 1. assign V011569 = V564103 - 1. assign V438771 = V344737. assign V582653 = V943499. assign V446296 = V255548 + 1. assign V285802 = V185746 - 1. assign V703500 = V313818 + 1. assign V255548 = V848036 - 1. assign V051250 = V400028 - 1. assign V789163 = V964202 - 1. assign V105410 = V384812 + 1. assign V714468 = V257983 - 1. assign V387677 = V484080 - 1. assign V165542 = V840193 + 1. assign V616890 = V769463. assign V595588 = V156585 + 1. assign V069793 = V529416 + 1. assign V282692 = V192671. assign V654505 = V840193. assign V554840 = V676223. assign V163949 = V636530 + 1. assign V992711 = V564103 + 1. assign V153913 = V269069 - 1. assign V102322 = V760952 + 1. assign V195868 = V424774. assign V403518 = V943499. assign V769463 = V283683 + 1. assign V370628 = V438792 - 1. assign V840193 = V636530 - 1. assign V312598 = V384812. assign V374409 = V438771 + 1. assign V494040 = V431557 + 1. assign V332039 = V670987. assign V970604 = V188866 + 1. assign V990767 = V378128 - 1. assign V205888 = V387677 + 1. assign V844609 = V950318. assign V273479 = V791633 - 1. assign V421265 = V161348 + 1. assign V543646 = V121185 - 1. assign V566189 = V484080 + 1. assign V899872 = V124167 + 1. assign V084768 = V238715. assign V666139 = V848036 + 1. assign V817756 = V929052 + 1. assign V679078 = V616890. assign V283683 = V065005 + 1. assign V846611 = V124167 + 1. assign V466013 = V424774. assign V269069 = V818732. assign V553135 = V554840. assign V192671 = V102322. assign V074920 = V690310. assign V313818 = V421265. assign V393364 = V867640. assign V902481 = V124167. assign V432834 = V188866. assign V373726 = V192000 + 1. assign V731651 = V074920. assign V676223 = V848036 - 1. assign V431557 = V840193 - 1. assign V433827 = V218471. assign V007092 = V817756 + 1. assign V860565 = V130349 + 1. assign V424774 = V446296 + 1. assign V614699 = V102322 + 1. assign V812917 = V438771 + 1. assign V652590 = V238120 - 1. assign V400028 = V161348 + 1. assign V192000 = V848036 - 1. assign V941740 = V807594 - 1. assign V168703 = V421265 + 1. assign V827153 = V902481. assign V695690 = V964202. assign V818732 = V438771. assign V279556 = V042349. assign V529416 = V672630 - 1. assign V349141 = V860565 - 1. assign V286368 = V950318. assign V124167 = V636530 - 1. assign V230421 = V614699. assign V703918 = V636530. assign V435704 = V373726. assign V943499 = V447789 + 1. assign V141496 = V775037 - 1. assign V929052 = V124167 + 1. assign V735875 = V192671 - 1. assign V107485 = V370628. assign V238916 = V285802 + 1. assign V042349 = V261582 - 1. assign V613843 = V121185. assign V581665 = V670987 - 1. assign V082655 = V421265. assign V964202 = V261804 - 1. assign V344737 = V648476 - 1. assign V238120 = V840193 + 1. assign V472316 = V375113 - 1. assign V869359 = V860565 + 1. assign V339953 = V789163. assign V447789 = V188866 - 1. assign V068281 = V472316. assign V546991 = V626082 + 1. assign V188866 = V648476 - 1. assign V930022 = V929052 + 1. assign V710218 = V929052 + 1. assign V410715 = V424774. assign V156585 = V421265 - 1. assign V936428 = V840193 - 1. assign V261804 = V384812. assign V760952 = V703918 - 1. assign V950318 = V860565 - 1. assign V042207 = V529416. assign V130349 = V344737 + 1. assign V484080 = V161348 - 1. assign V257983 = V594898 + 1. assign V609844 = V769463 - 1. assign V772948 = V899872. assign V791633 = V867640. assign V378128 = V626082 - 1. assign V438792 = V192000 - 1. assign V382102 = V185746 + 1. assign V053080 = V286368 + 1. assign V409194 = V844609 - 1. assign V491000 = V681001. assign V995811 = V205888. assign V825719 = V185746. assign V238715 = V043509 - 1. assign V690310 = V421265 + 1. assign V653041 = V789163 - 1. assign V962397 = V255548 + 1. assign V817385 = V421265 + 1. assign V121185 = V192000 + 1. assign V775037 = V185746. assign V065005 = V899872 + 1. assign V416580 = V846611. assign V261582 = V375113. assign V848036 = V867640 - 1. assign V636530 = V867640. assign V161348 = V185746 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V626082 = V373726 + 1. assign V681001 = V582653. assign V975216 = V339953 - 1. assign V043509 = V827153 + 1. assign V198729 = V636530 + 1. assign V670987 = V902481 + 1. assign V207612 = V218471. assign V970665 = V102322 + 1. assign V384812 = V344737 + 1. assign V807782 = V690310. assign V950730 = V775037. assign V861364 = V614699 - 1. assign V294321 = V735875. assign V375113 = V286368 + 1. assign V696247 = V632145 - 1. assign V564103 = V074920. assign V021973 = V382102. assign V926962 = V121185 - 1. assign V216115 = V042207 + 1. assign V814921 = V818732 - 1. assign V968422 = V846611. assign V594898 = V312598 - 1. assign V923164 = V387677. assign V867640 = V185746 - 1. assign V010226 = V789163 + 1. assign V648476 = V636530. assign V807594 = V484080 - 1. assign V450362 = V198729 - 1. assign V672630 = V438771. assign V632145 = 8. assign V278352 = V775037 - 1. assign V249087 = V344737. assign V507724 = V424774 + 1. assign V218471 = V672630 + 1. assign V011569 = V564103 - 1. assign V438771 = V344737. assign V582653 = V943499. assign V446296 = V255548 + 1. assign V285802 = V185746 - 1. assign V703500 = V313818 + 1. assign V255548 = V848036 - 1. assign V051250 = V400028 - 1. assign V789163 = V964202 - 1. assign V105410 = V384812 + 1. assign V714468 = V257983 - 1. assign V387677 = V484080 - 1. assign V165542 = V840193 + 1. assign V616890 = V769463. assign V595588 = V156585 + 1. assign V069793 = V529416 + 1. assign V282692 = V192671. assign V654505 = V840193. assign V554840 = V676223. assign V163949 = V636530 + 1. assign V992711 = V564103 + 1. assign V153913 = V269069 - 1. assign V102322 = V760952 + 1. assign V195868 = V424774. assign V403518 = V943499. assign V769463 = V283683 + 1. assign V370628 = V438792 - 1. assign V840193 = V636530 - 1. assign V312598 = V384812. assign V374409 = V438771 + 1. assign V494040 = V431557 + 1. assign V332039 = V670987. assign V970604 = V188866 + 1. assign V990767 = V378128 - 1. assign V205888 = V387677 + 1. assign V844609 = V950318. assign V273479 = V791633 - 1. assign V421265 = V161348 + 1. assign V543646 = V121185 - 1. assign V566189 = V484080 + 1. assign V899872 = V124167 + 1. assign V084768 = V238715. assign V666139 = V848036 + 1. assign V817756 = V929052 + 1. assign V679078 = V616890. assign V283683 = V065005 + 1. assign V846611 = V124167 + 1. assign V466013 = V424774. assign V269069 = V818732. assign V553135 = V554840. assign V192671 = V102322. assign V074920 = V690310. assign V313818 = V421265. assign V393364 = V867640. assign V902481 = V124167. assign V432834 = V188866. assign V373726 = V192000 + 1. assign V731651 = V074920. assign V676223 = V848036 - 1. assign V431557 = V840193 - 1. assign V433827 = V218471. assign V007092 = V817756 + 1. assign V860565 = V130349 + 1. assign V424774 = V446296 + 1. assign V614699 = V102322 + 1. assign V812917 = V438771 + 1. assign V652590 = V238120 - 1. assign V400028 = V161348 + 1. assign V192000 = V848036 - 1. assign V941740 = V807594 - 1. assign V168703 = V421265 + 1. assign V827153 = V902481. assign V695690 = V964202. assign V818732 = V438771. assign V279556 = V042349. assign V529416 = V672630 - 1. assign V349141 = V860565 - 1. assign V286368 = V950318. assign V124167 = V636530 - 1. assign V230421 = V614699. assign V703918 = V636530. assign V435704 = V373726. assign V943499 = V447789 + 1. assign V141496 = V775037 - 1. assign V929052 = V124167 + 1. assign V735875 = V192671 - 1. assign V107485 = V370628. assign V238916 = V285802 + 1. assign V042349 = V261582 - 1. assign V613843 = V121185. assign V581665 = V670987 - 1. assign V082655 = V421265. assign V964202 = V261804 - 1. assign V344737 = V648476 - 1. assign V238120 = V840193 + 1. assign V472316 = V375113 - 1. assign V869359 = V860565 + 1. assign V339953 = V789163. assign V447789 = V188866 - 1. assign V068281 = V472316. assign V546991 = V626082 + 1. assign V188866 = V648476 - 1. assign V930022 = V929052 + 1. assign V710218 = V929052 + 1. assign V410715 = V424774. assign V156585 = V421265 - 1. assign V936428 = V840193 - 1. assign V261804 = V384812. assign V760952 = V703918 - 1. assign V950318 = V860565 - 1. assign V042207 = V529416. assign V130349 = V344737 + 1. assign V484080 = V161348 - 1. assign V257983 = V594898 + 1. assign V609844 = V769463 - 1. assign V772948 = V899872. assign V791633 = V867640. assign V378128 = V626082 - 1. assign V438792 = V192000 - 1. assign V382102 = V185746 + 1. assign V053080 = V286368 + 1. assign V409194 = V844609 - 1. assign V491000 = V681001. assign V995811 = V205888. assign V825719 = V185746. assign V238715 = V043509 - 1. assign V690310 = V421265 + 1. assign V653041 = V789163 - 1. assign V962397 = V255548 + 1. assign V817385 = V421265 + 1. assign V121185 = V192000 + 1. assign V775037 = V185746. assign V065005 = V899872 + 1. assign V416580 = V846611. assign V261582 = V375113. assign V848036 = V867640 - 1. assign V636530 = V867640. assign V161348 = V185746 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV632145 = 8;\n\nFrom these direct assignment(s), we have: \nV696247 = V632145 - 1 = 8 - 1 =7;\nNo other variables can be derived from V696247;\nNo other variables can be derived from V632145;\n\nNow we have done all the calculations. Derived variables are:\nV632145 = 8;\nV696247 = 7;\n\nNow we have finished this problem. ANSWER:\nV632145\n", "role": "assistant" } ]

[ "V428362", "V198138" ]

[ { "content": "<context>\nassign V871440 = V431609. assign V431609 = V959913 - 1. assign V383325 = V467280. assign V420096 = V824869 - 1. assign V074488 = V085216. assign V843780 = V573170 - 1. assign V610588 = V235154. assign V183962 = V596698 + 1. assign V717410 = V098718 + 1. assign V498408 = V964545 - 1. assign V586969 = V570331 - 1. assign V408276 = V586969 - 1. assign V712106 = V243208 + 1. assign V245808 = V623372. assign V588270 = V203352. assign V298316 = V519738 + 1. assign V568528 = V188180. assign V165560 = V910057. assign V892054 = V429204 + 1. assign V612496 = V850708. assign V390154 = V176864 + 1. assign V026291 = V519738 + 1. assign V100810 = V964545 - 1. assign V243208 = V671436 + 1. assign V822934 = V604907 + 1. assign V562399 = V592537 + 1. assign V541163 = V243208 + 1. assign V482174 = V735482. assign V855614 = V760991 + 1. assign V134067 = V680519 - 1. assign V362465 = V671436 + 1. assign V154977 = V884520 + 1. assign V990215 = V570331 + 1. assign V511222 = V583015. assign V009457 = V074488 - 1. assign V385985 = V610588. assign V301034 = V176864 - 1. assign V364209 = V680519. assign V428362 = 2. assign V327468 = V112069 - 1. assign V523260 = V321598 - 1. assign V523159 = V519738 + 1. assign V098718 = V425957 - 1. assign V623372 = V566224. assign V659428 = V203352 - 1. assign V160466 = V661764. assign V745024 = V414854 + 1. assign V272014 = V487782. assign V801806 = V009457. assign V947364 = V612496. assign V356914 = V752589 + 1. assign V272327 = V964545 - 1. assign V910057 = V896394 + 1. assign V203352 = V592537. assign V415817 = V755378 + 1. assign V726887 = V327468 + 1. assign V580537 = V017834 + 1. assign V596698 = V125370 - 1. assign V032417 = V586969 - 1. assign V539811 = V415817 + 1. assign V198240 = V586969. assign V964545 = V570331 - 1. assign V592537 = V735482. assign V850708 = V074488 - 1. assign V307313 = V072596 + 1. assign V321598 = V098718. assign V824959 = V216722 + 1. assign V282889 = V573170. assign V537779 = V574104 - 1. assign V343149 = V752589 - 1. assign V429204 = V074488 - 1. assign V705394 = V612496. assign V801679 = V425957 - 1. assign V671436 = V959913 - 1. assign V414854 = V487782 - 1. assign V873057 = V562399 - 1. assign V693501 = V431609. assign V919477 = V693501. assign V857366 = V752589 - 1. assign V491437 = V680519 - 1. assign V203878 = V487782. assign V433450 = V884520 - 1. assign V896394 = V074488 - 1. assign V735482 = V487339. assign V866632 = V562399 + 1. assign V190846 = V408276. assign V112069 = V074488 - 1. assign V704458 = V203352 - 1. assign V778422 = V216722. assign V435009 = V098718. assign V413772 = V435009 + 1. assign V749638 = V454979. assign V329566 = V519738 + 1. assign V399401 = V519738. assign V456019 = V155765. assign V467280 = V755378. assign V658321 = V125370. assign V853432 = V454979 - 1. assign V200771 = V735482 + 1. assign V466172 = V216722 + 1. assign V465770 = V085216 - 1. assign V216722 = V408276 - 1. assign V519738 = V074488 + 1. assign V290087 = V491437 + 1. assign V253571 = V588270 + 1. assign V785050 = V487339. assign V198138 = V428362. assign V824869 = V881145 - 1. assign V775393 = V390154 + 1. assign V974007 = V032417. assign V574104 = V032417 + 1. assign V566224 = V612496 + 1. assign V124422 = V155765 - 1. assign V752589 = V425957. assign V604907 = V356914. assign V235154 = V100810 + 1. assign V282971 = V072596. assign V279209 = V735482 + 1. assign V031305 = V881145. assign V974974 = V661764 + 1. assign V506393 = V824869 + 1. assign V833820 = V596698 - 1. assign V703723 = V645958 - 1. assign V884520 = V408276. assign V022519 = V327468. assign V185316 = V429204 + 1. assign V605320 = V722397 + 1. assign V329520 = V431609. assign V155765 = V454979 + 1. assign V829587 = V155765. assign V296038 = V703723. assign V176864 = V519738 + 1. assign V410784 = V974007 - 1. assign V338289 = V216722 + 1. assign V644734 = V026291. assign V393973 = V435009 - 1. assign V788991 = V659428 - 1. assign V645958 = V755378 + 1. assign V972315 = V017834 + 1. assign V452027 = V824869 - 1. assign V701723 = V755378. assign V454979 = V100810 - 1. assign V680519 = V074488 + 1. assign V760991 = V176864 + 1. assign V017834 = V112069 + 1. assign V881145 = V431609. assign V723158 = V125370 + 1. assign V291449 = V586969 - 1. assign V959913 = V465770 + 1. assign V462720 = V329520 + 1. assign V741929 = V990215. assign V125370 = V612496 - 1. assign V570331 = V429204. assign V755378 = V185316. assign V240796 = V904188 + 1. assign V722397 = V185316 + 1. assign V573170 = V216722 + 1. assign V425957 = V671436 + 1. assign V487782 = V243208 - 1. assign V188180 = V431609. assign V555441 = V570331 + 1. assign V661764 = V017834 - 1. assign V233996 = V723158. assign V836248 = V362465. assign V583015 = V390154. assign V904188 = V562399 - 1. assign V902870 = V680519. assign V487339 = V586969 - 1. assign V868443 = V408276 + 1. assign V072596 = V723158. assign V237548 = V850708 - 1. assign V194751 = V735482.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V871440 = V431609. assign V431609 = V959913 - 1. assign V383325 = V467280. assign V420096 = V824869 - 1. assign V074488 = V085216. assign V843780 = V573170 - 1. assign V610588 = V235154. assign V183962 = V596698 + 1. assign V717410 = V098718 + 1. assign V498408 = V964545 - 1. assign V586969 = V570331 - 1. assign V408276 = V586969 - 1. assign V712106 = V243208 + 1. assign V245808 = V623372. assign V588270 = V203352. assign V298316 = V519738 + 1. assign V568528 = V188180. assign V165560 = V910057. assign V892054 = V429204 + 1. assign V612496 = V850708. assign V390154 = V176864 + 1. assign V026291 = V519738 + 1. assign V100810 = V964545 - 1. assign V243208 = V671436 + 1. assign V822934 = V604907 + 1. assign V562399 = V592537 + 1. assign V541163 = V243208 + 1. assign V482174 = V735482. assign V855614 = V760991 + 1. assign V134067 = V680519 - 1. assign V362465 = V671436 + 1. assign V154977 = V884520 + 1. assign V990215 = V570331 + 1. assign V511222 = V583015. assign V009457 = V074488 - 1. assign V385985 = V610588. assign V301034 = V176864 - 1. assign V364209 = V680519. assign V428362 = 2. assign V327468 = V112069 - 1. assign V523260 = V321598 - 1. assign V523159 = V519738 + 1. assign V098718 = V425957 - 1. assign V623372 = V566224. assign V659428 = V203352 - 1. assign V160466 = V661764. assign V745024 = V414854 + 1. assign V272014 = V487782. assign V801806 = V009457. assign V947364 = V612496. assign V356914 = V752589 + 1. assign V272327 = V964545 - 1. assign V910057 = V896394 + 1. assign V203352 = V592537. assign V415817 = V755378 + 1. assign V726887 = V327468 + 1. assign V580537 = V017834 + 1. assign V596698 = V125370 - 1. assign V032417 = V586969 - 1. assign V539811 = V415817 + 1. assign V198240 = V586969. assign V964545 = V570331 - 1. assign V592537 = V735482. assign V850708 = V074488 - 1. assign V307313 = V072596 + 1. assign V321598 = V098718. assign V824959 = V216722 + 1. assign V282889 = V573170. assign V537779 = V574104 - 1. assign V343149 = V752589 - 1. assign V429204 = V074488 - 1. assign V705394 = V612496. assign V801679 = V425957 - 1. assign V671436 = V959913 - 1. assign V414854 = V487782 - 1. assign V873057 = V562399 - 1. assign V693501 = V431609. assign V919477 = V693501. assign V857366 = V752589 - 1. assign V491437 = V680519 - 1. assign V203878 = V487782. assign V433450 = V884520 - 1. assign V896394 = V074488 - 1. assign V735482 = V487339. assign V866632 = V562399 + 1. assign V190846 = V408276. assign V112069 = V074488 - 1. assign V704458 = V203352 - 1. assign V778422 = V216722. assign V435009 = V098718. assign V413772 = V435009 + 1. assign V749638 = V454979. assign V329566 = V519738 + 1. assign V399401 = V519738. assign V456019 = V155765. assign V467280 = V755378. assign V658321 = V125370. assign V853432 = V454979 - 1. assign V200771 = V735482 + 1. assign V466172 = V216722 + 1. assign V465770 = V085216 - 1. assign V216722 = V408276 - 1. assign V519738 = V074488 + 1. assign V290087 = V491437 + 1. assign V253571 = V588270 + 1. assign V785050 = V487339. assign V198138 = V428362. assign V824869 = V881145 - 1. assign V775393 = V390154 + 1. assign V974007 = V032417. assign V574104 = V032417 + 1. assign V566224 = V612496 + 1. assign V124422 = V155765 - 1. assign V752589 = V425957. assign V604907 = V356914. assign V235154 = V100810 + 1. assign V282971 = V072596. assign V279209 = V735482 + 1. assign V031305 = V881145. assign V974974 = V661764 + 1. assign V506393 = V824869 + 1. assign V833820 = V596698 - 1. assign V703723 = V645958 - 1. assign V884520 = V408276. assign V022519 = V327468. assign V185316 = V429204 + 1. assign V605320 = V722397 + 1. assign V329520 = V431609. assign V155765 = V454979 + 1. assign V829587 = V155765. assign V296038 = V703723. assign V176864 = V519738 + 1. assign V410784 = V974007 - 1. assign V338289 = V216722 + 1. assign V644734 = V026291. assign V393973 = V435009 - 1. assign V788991 = V659428 - 1. assign V645958 = V755378 + 1. assign V972315 = V017834 + 1. assign V452027 = V824869 - 1. assign V701723 = V755378. assign V454979 = V100810 - 1. assign V680519 = V074488 + 1. assign V760991 = V176864 + 1. assign V017834 = V112069 + 1. assign V881145 = V431609. assign V723158 = V125370 + 1. assign V291449 = V586969 - 1. assign V959913 = V465770 + 1. assign V462720 = V329520 + 1. assign V741929 = V990215. assign V125370 = V612496 - 1. assign V570331 = V429204. assign V755378 = V185316. assign V240796 = V904188 + 1. assign V722397 = V185316 + 1. assign V573170 = V216722 + 1. assign V425957 = V671436 + 1. assign V487782 = V243208 - 1. assign V188180 = V431609. assign V555441 = V570331 + 1. assign V661764 = V017834 - 1. assign V233996 = V723158. assign V836248 = V362465. assign V583015 = V390154. assign V904188 = V562399 - 1. assign V902870 = V680519. assign V487339 = V586969 - 1. assign V868443 = V408276 + 1. assign V072596 = V723158. assign V237548 = V850708 - 1. assign V194751 = V735482.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV428362 = 2;\n\nFrom these direct assignment(s), we have: \nV198138 = V428362 = 2;\nNo other variables can be derived from V198138;\nNo other variables can be derived from V428362;\n\nNow we have done all the calculations. Derived variables are:\nV428362 = 2;\nV198138 = 2;\n\nNow we have finished this problem. ANSWER:\nV428362, V198138\n", "role": "assistant" } ]

[ "V947465" ]

[ { "content": "<context>\nassign V059920 = V796309 - 1. assign V638069 = V821674 + 1. assign V379780 = V455393 - 1. assign V083673 = V552501 - 1. assign V927297 = V243757 + 1. assign V546628 = V346184. assign V817393 = V191133. assign V786036 = V535826 + 1. assign V198109 = V187374. assign V811533 = V436655 + 1. assign V940310 = V361976. assign V422967 = V543767 - 1. assign V444993 = V522309. assign V455393 = V638069. assign V236771 = V333452 + 1. assign V757089 = V254308 - 1. assign V187374 = V511997. assign V862103 = V798104. assign V523061 = V884863. assign V088361 = V019775. assign V745166 = V921706 + 1. assign V070010 = V592251 + 1. assign V917771 = V019775 - 1. assign V714926 = V056335 + 1. assign V337610 = V951230. assign V738185 = V995012 + 1. assign V428030 = V024332 - 1. assign V951230 = V970765 - 1. assign V757481 = V188414 + 1. assign V095654 = V528581 + 1. assign V885401 = V921706. assign V930317 = V511997 - 1. assign V942074 = V499670 - 1. assign V876182 = V885401 - 1. assign V968756 = V280223. assign V361275 = V500973. assign V747719 = V745166. assign V735935 = V921706 - 1. assign V615794 = V191133. assign V246160 = V024332. assign V395787 = V796309. assign V500973 = V361976. assign V243757 = V050993 - 1. assign V583000 = V636414. assign V069940 = V968756 + 1. assign V006350 = V940310 - 1. assign V056335 = V511997 + 1. assign V150949 = V329574 + 1. assign V985269 = V638069 + 1. assign V948162 = V709233 + 1. assign V217947 = V056335. assign V699961 = V646580 - 1. assign V986609 = V970765 + 1. assign V024332 = V361976. assign V604113 = V329574. assign V730592 = V287469 - 1. assign V528581 = V600745. assign V188414 = V499670. assign V491910 = V730592 - 1. assign V287021 = V896470. assign V511997 = V361976. assign V535826 = V511997 + 1. assign V537905 = V417933 + 1. assign V023912 = V917771. assign V821674 = V995012 - 1. assign V976185 = V673857 - 1. assign V499670 = V346184 - 1. assign V443209 = V287469 - 1. assign V182931 = V206817 + 1. assign V887383 = V417933. assign V771390 = V511997 - 1. assign V157095 = V108190 - 1. assign V916154 = V234491 + 1. assign V169907 = V896470 - 1. assign V947465 = 1. assign V926983 = V537905 + 1. assign V418442 = V535826. assign V287469 = V511997 + 1. assign V861228 = V523061. assign V911999 = V796309 + 1. assign V995984 = V546628 - 1. assign V709233 = V523061 - 1. assign V417933 = V019775 + 1. assign V324614 = V940310 + 1. assign V248739 = V955725. assign V206817 = V735935 + 1. assign V280223 = V757089. assign V191133 = V730592 - 1. assign V079887 = V045518 - 1. assign V303847 = V268178. assign V906734 = V771390. assign V086860 = V187374 + 1. assign V798104 = V138091 + 1. assign V353003 = V798104 + 1. assign V968515 = V511997 + 1. assign V921706 = V530973 - 1. assign V729715 = V530973 - 1. assign V552501 = V638069 + 1. assign V550272 = V287021 + 1. assign V695340 = V095654 - 1. assign V592251 = V970765 - 1. assign V796309 = V535826. assign V622112 = V543767 - 1. assign V436655 = V921706 + 1. assign V936091 = V436655 + 1. assign V725795 = V638069 + 1. assign V599339 = V887383. assign V885012 = V592251. assign V673857 = V428030 - 1. assign V636414 = V995012 + 1. assign V356856 = V056335. assign V543767 = V346184 + 1. assign V337243 = V947465 - 1. assign V884863 = V346184. assign V816863 = V079887 + 1. assign V797710 = V930317 - 1. assign V019775 = V901993 + 1. assign V451498 = V019775. assign V079462 = V600745 - 1. assign V086284 = V546628 - 1. assign V522309 = V592251. assign V955725 = V968515 - 1. assign V005956 = V530973. assign V530973 = V361976. assign V717604 = V217947 + 1. assign V934564 = V511997. assign V404594 = V535826. assign V654974 = V236771. assign V169952 = V438793. assign V329574 = V535826 + 1. assign V995012 = V361976 - 1. assign V394881 = V738185. assign V254308 = V752917 - 1. assign V534176 = V428030 - 1. assign V438793 = V884863 + 1. assign V928435 = V887383 - 1. assign V753456 = V896470 + 1. assign V139013 = V786036 + 1. assign V472716 = V394881 - 1. assign V592009 = V523061 - 1. assign V203111 = V045518 - 1. assign V452004 = V191133. assign V694098 = V592251 - 1. assign V752917 = V443209 - 1. assign V970765 = V535826 - 1. assign V618131 = V995012 + 1. assign V268178 = V418442. assign V976989 = V638069 - 1. assign V714288 = V968756. assign V359176 = V217947 + 1. assign V200545 = V303847 - 1. assign V081177 = V395787 - 1. assign V523674 = V006350 - 1. assign V234491 = V695340 - 1. assign V901993 = V636414 - 1. assign V333452 = V394881. assign V906853 = V940310 + 1. assign V877929 = V797710. assign V050993 = V019775 + 1. assign V896470 = V901993 - 1. assign V138091 = V906734. assign V646580 = V095654. assign V964434 = V796309. assign V755888 = V604113 - 1. assign V880925 = V821674 + 1. assign V045518 = V422967 - 1. assign V437749 = V985269. assign V600745 = V901993 - 1. assign V583222 = V418442 + 1. assign V108190 = V422967 + 1. assign V168621 = V636414 - 1. assign V346184 = V940310.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V059920 = V796309 - 1. assign V638069 = V821674 + 1. assign V379780 = V455393 - 1. assign V083673 = V552501 - 1. assign V927297 = V243757 + 1. assign V546628 = V346184. assign V817393 = V191133. assign V786036 = V535826 + 1. assign V198109 = V187374. assign V811533 = V436655 + 1. assign V940310 = V361976. assign V422967 = V543767 - 1. assign V444993 = V522309. assign V455393 = V638069. assign V236771 = V333452 + 1. assign V757089 = V254308 - 1. assign V187374 = V511997. assign V862103 = V798104. assign V523061 = V884863. assign V088361 = V019775. assign V745166 = V921706 + 1. assign V070010 = V592251 + 1. assign V917771 = V019775 - 1. assign V714926 = V056335 + 1. assign V337610 = V951230. assign V738185 = V995012 + 1. assign V428030 = V024332 - 1. assign V951230 = V970765 - 1. assign V757481 = V188414 + 1. assign V095654 = V528581 + 1. assign V885401 = V921706. assign V930317 = V511997 - 1. assign V942074 = V499670 - 1. assign V876182 = V885401 - 1. assign V968756 = V280223. assign V361275 = V500973. assign V747719 = V745166. assign V735935 = V921706 - 1. assign V615794 = V191133. assign V246160 = V024332. assign V395787 = V796309. assign V500973 = V361976. assign V243757 = V050993 - 1. assign V583000 = V636414. assign V069940 = V968756 + 1. assign V006350 = V940310 - 1. assign V056335 = V511997 + 1. assign V150949 = V329574 + 1. assign V985269 = V638069 + 1. assign V948162 = V709233 + 1. assign V217947 = V056335. assign V699961 = V646580 - 1. assign V986609 = V970765 + 1. assign V024332 = V361976. assign V604113 = V329574. assign V730592 = V287469 - 1. assign V528581 = V600745. assign V188414 = V499670. assign V491910 = V730592 - 1. assign V287021 = V896470. assign V511997 = V361976. assign V535826 = V511997 + 1. assign V537905 = V417933 + 1. assign V023912 = V917771. assign V821674 = V995012 - 1. assign V976185 = V673857 - 1. assign V499670 = V346184 - 1. assign V443209 = V287469 - 1. assign V182931 = V206817 + 1. assign V887383 = V417933. assign V771390 = V511997 - 1. assign V157095 = V108190 - 1. assign V916154 = V234491 + 1. assign V169907 = V896470 - 1. assign V947465 = 1. assign V926983 = V537905 + 1. assign V418442 = V535826. assign V287469 = V511997 + 1. assign V861228 = V523061. assign V911999 = V796309 + 1. assign V995984 = V546628 - 1. assign V709233 = V523061 - 1. assign V417933 = V019775 + 1. assign V324614 = V940310 + 1. assign V248739 = V955725. assign V206817 = V735935 + 1. assign V280223 = V757089. assign V191133 = V730592 - 1. assign V079887 = V045518 - 1. assign V303847 = V268178. assign V906734 = V771390. assign V086860 = V187374 + 1. assign V798104 = V138091 + 1. assign V353003 = V798104 + 1. assign V968515 = V511997 + 1. assign V921706 = V530973 - 1. assign V729715 = V530973 - 1. assign V552501 = V638069 + 1. assign V550272 = V287021 + 1. assign V695340 = V095654 - 1. assign V592251 = V970765 - 1. assign V796309 = V535826. assign V622112 = V543767 - 1. assign V436655 = V921706 + 1. assign V936091 = V436655 + 1. assign V725795 = V638069 + 1. assign V599339 = V887383. assign V885012 = V592251. assign V673857 = V428030 - 1. assign V636414 = V995012 + 1. assign V356856 = V056335. assign V543767 = V346184 + 1. assign V337243 = V947465 - 1. assign V884863 = V346184. assign V816863 = V079887 + 1. assign V797710 = V930317 - 1. assign V019775 = V901993 + 1. assign V451498 = V019775. assign V079462 = V600745 - 1. assign V086284 = V546628 - 1. assign V522309 = V592251. assign V955725 = V968515 - 1. assign V005956 = V530973. assign V530973 = V361976. assign V717604 = V217947 + 1. assign V934564 = V511997. assign V404594 = V535826. assign V654974 = V236771. assign V169952 = V438793. assign V329574 = V535826 + 1. assign V995012 = V361976 - 1. assign V394881 = V738185. assign V254308 = V752917 - 1. assign V534176 = V428030 - 1. assign V438793 = V884863 + 1. assign V928435 = V887383 - 1. assign V753456 = V896470 + 1. assign V139013 = V786036 + 1. assign V472716 = V394881 - 1. assign V592009 = V523061 - 1. assign V203111 = V045518 - 1. assign V452004 = V191133. assign V694098 = V592251 - 1. assign V752917 = V443209 - 1. assign V970765 = V535826 - 1. assign V618131 = V995012 + 1. assign V268178 = V418442. assign V976989 = V638069 - 1. assign V714288 = V968756. assign V359176 = V217947 + 1. assign V200545 = V303847 - 1. assign V081177 = V395787 - 1. assign V523674 = V006350 - 1. assign V234491 = V695340 - 1. assign V901993 = V636414 - 1. assign V333452 = V394881. assign V906853 = V940310 + 1. assign V877929 = V797710. assign V050993 = V019775 + 1. assign V896470 = V901993 - 1. assign V138091 = V906734. assign V646580 = V095654. assign V964434 = V796309. assign V755888 = V604113 - 1. assign V880925 = V821674 + 1. assign V045518 = V422967 - 1. assign V437749 = V985269. assign V600745 = V901993 - 1. assign V583222 = V418442 + 1. assign V108190 = V422967 + 1. assign V168621 = V636414 - 1. assign V346184 = V940310.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV947465 = 1;\n\nFrom these direct assignment(s), we have: \nV337243 = V947465 - 1 = 1 - 1 =0;\nNo other variables can be derived from V337243;\nNo other variables can be derived from V947465;\n\nNow we have done all the calculations. Derived variables are:\nV947465 = 1;\nV337243 = 0;\n\nNow we have finished this problem. ANSWER:\nV947465\n", "role": "assistant" } ]

[ "V434047" ]

[ { "content": "<context>\nassign V213436 = V847653. assign V036802 = V773022. assign V729240 = V213436 + 1. assign V937175 = V776095 - 1. assign V252877 = V326662 + 1. assign V917184 = V480108. assign V092776 = V443550 - 1. assign V809917 = V666373. assign V017662 = V315802 - 1. assign V654754 = V694174. assign V302108 = V866589. assign V328533 = V287845. assign V228058 = V326662 + 1. assign V634693 = V483969 - 1. assign V721935 = V017662 + 1. assign V022650 = V171242 + 1. assign V572058 = V156218 + 1. assign V308369 = V096675 - 1. assign V056350 = V425435 + 1. assign V434047 = V616715 - 1. assign V672262 = V234562 - 1. assign V268941 = V152238 + 1. assign V269645 = V443550. assign V485011 = V190202 + 1. assign V787519 = V017662 + 1. assign V426688 = V619443. assign V731139 = V252877. assign V203280 = V729240 - 1. assign V518216 = V574874 + 1. assign V979882 = V318511 + 1. assign V513054 = V837640 + 1. assign V679320 = V466867 - 1. assign V574874 = V252877 - 1. assign V023117 = V156218 + 1. assign V171242 = V433749 - 1. assign V866589 = V474945. assign V315802 = V575375 + 1. assign V139199 = V466867. assign V796878 = V979882 - 1. assign V739540 = V810390. assign V012148 = V483969 + 1. assign V701440 = V069970 + 1. assign V762573 = V426688 - 1. assign V279868 = V474945 - 1. assign V694174 = V651483 + 1. assign V145878 = V762573 + 1. assign V337305 = V269645 - 1. assign V103686 = V783910 + 1. assign V551466 = V310505 - 1. assign V426286 = V776095 - 1. assign V206387 = V443550 + 1. assign V043105 = V762573 + 1. assign V508182 = V145878 - 1. assign V443550 = V326662 - 1. assign V138520 = V809917 - 1. assign V720030 = V326662. assign V583286 = V100446. assign V542978 = V167912 + 1. assign V696152 = V937175 - 1. assign V385178 = V252877 - 1. assign V234562 = V574874 + 1. assign V901265 = V337305. assign V679385 = V602635 - 1. assign V626611 = V059850 - 1. assign V870591 = V672262 - 1. assign V326662 = V837640 - 1. assign V596477 = V268941. assign V832515 = V622135 - 1. assign V156218 = V234562 + 1. assign V047038 = V773022 + 1. assign V979794 = V269645. assign V310505 = V783910 - 1. assign V432162 = V308369. assign V040020 = V744728. assign V786140 = V666373 - 1. assign V466867 = V866589 + 1. assign V810390 = V156218 + 1. assign V427542 = V047038 - 1. assign V472815 = V274689 + 1. assign V537925 = V213436 - 1. assign V059850 = V213436. assign V152238 = V269645 - 1. assign V318511 = V252877 - 1. assign V602635 = V937175. assign V634393 = V106633. assign V656595 = V100446. assign V622135 = V287845. assign V167912 = V651483. assign V072230 = V786140 - 1. assign V186626 = V426286 - 1. assign V693800 = V268941 - 1. assign V335790 = V228058 - 1. assign V292539 = V269645 - 1. assign V100446 = V928692 - 1. assign V192328 = V274689. assign V614240 = V783910 - 1. assign V847653 = V694174 - 1. assign V172015 = V472815 - 1. assign V937870 = V736866. assign V776073 = V034505 - 1. assign V039638 = V034505 + 1. assign V620998 = V443152 + 1. assign V069970 = V385178 + 1. assign V483969 = V762573. assign V474945 = V776095 - 1. assign V738202 = V776073 - 1. assign V928692 = V043105 - 1. assign V824658 = V736866 + 1. assign V384983 = V110234 - 1. assign V444947 = V056350 + 1. assign V443152 = V287845. assign V825683 = V666373. assign V973035 = V767046 + 1. assign V342232 = V722427 + 1. assign V958766 = V575375 + 1. assign V300773 = V034505. assign V287845 = V326662 - 1. assign V315587 = V666373. assign V031240 = V518216 + 1. assign V110234 = V292539. assign V096675 = V863390 - 1. assign V736866 = V837640 - 1. assign V773022 = V326662. assign V345048 = V832515 + 1. assign V433749 = V152238 + 1. assign V523306 = V081478 - 1. assign V776095 = V326662 - 1. assign V818866 = V701440 + 1. assign V205750 = V269645 + 1. assign V722427 = V958766. assign V967211 = V620998 - 1. assign V208762 = V047038 + 1. assign V480108 = V274689. assign V775897 = V518216 - 1. assign V360879 = V221588 - 1. assign V152006 = V721935 + 1. assign V074979 = V937870 - 1. assign V651483 = V326662 + 1. assign V783910 = V043105. assign V666373 = V651483 + 1. assign V106633 = V767046. assign V955770 = V474945 + 1. assign V629777 = V205750 - 1. assign V113743 = V017662 + 1. assign V035718 = V651483 - 1. assign V575375 = V326662 + 1. assign V860287 = V626611 - 1. assign V996014 = V438521 + 1. assign V435646 = V783910. assign V616715 = 7. assign V340344 = V620998 + 1. assign V177909 = V221588. assign V801119 = V443152 + 1. assign V221588 = V426688. assign V640412 = V736866 + 1. assign V863390 = V651483 - 1. assign V034505 = V252877. assign V274689 = V269645. assign V690734 = V810390 - 1. assign V081478 = V870591 - 1. assign V619443 = V575375 - 1. assign V438521 = V928692. assign V694187 = V824658. assign V767046 = V575375 + 1. assign V038625 = V762573 - 1. assign V190202 = V156218 - 1. assign V228442 = V466867. assign V046333 = V092776 + 1. assign V425435 = V762573 - 1. assign V744728 = V017662. assign V686255 = V269645. assign V581065 = V269645.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V213436 = V847653. assign V036802 = V773022. assign V729240 = V213436 + 1. assign V937175 = V776095 - 1. assign V252877 = V326662 + 1. assign V917184 = V480108. assign V092776 = V443550 - 1. assign V809917 = V666373. assign V017662 = V315802 - 1. assign V654754 = V694174. assign V302108 = V866589. assign V328533 = V287845. assign V228058 = V326662 + 1. assign V634693 = V483969 - 1. assign V721935 = V017662 + 1. assign V022650 = V171242 + 1. assign V572058 = V156218 + 1. assign V308369 = V096675 - 1. assign V056350 = V425435 + 1. assign V434047 = V616715 - 1. assign V672262 = V234562 - 1. assign V268941 = V152238 + 1. assign V269645 = V443550. assign V485011 = V190202 + 1. assign V787519 = V017662 + 1. assign V426688 = V619443. assign V731139 = V252877. assign V203280 = V729240 - 1. assign V518216 = V574874 + 1. assign V979882 = V318511 + 1. assign V513054 = V837640 + 1. assign V679320 = V466867 - 1. assign V574874 = V252877 - 1. assign V023117 = V156218 + 1. assign V171242 = V433749 - 1. assign V866589 = V474945. assign V315802 = V575375 + 1. assign V139199 = V466867. assign V796878 = V979882 - 1. assign V739540 = V810390. assign V012148 = V483969 + 1. assign V701440 = V069970 + 1. assign V762573 = V426688 - 1. assign V279868 = V474945 - 1. assign V694174 = V651483 + 1. assign V145878 = V762573 + 1. assign V337305 = V269645 - 1. assign V103686 = V783910 + 1. assign V551466 = V310505 - 1. assign V426286 = V776095 - 1. assign V206387 = V443550 + 1. assign V043105 = V762573 + 1. assign V508182 = V145878 - 1. assign V443550 = V326662 - 1. assign V138520 = V809917 - 1. assign V720030 = V326662. assign V583286 = V100446. assign V542978 = V167912 + 1. assign V696152 = V937175 - 1. assign V385178 = V252877 - 1. assign V234562 = V574874 + 1. assign V901265 = V337305. assign V679385 = V602635 - 1. assign V626611 = V059850 - 1. assign V870591 = V672262 - 1. assign V326662 = V837640 - 1. assign V596477 = V268941. assign V832515 = V622135 - 1. assign V156218 = V234562 + 1. assign V047038 = V773022 + 1. assign V979794 = V269645. assign V310505 = V783910 - 1. assign V432162 = V308369. assign V040020 = V744728. assign V786140 = V666373 - 1. assign V466867 = V866589 + 1. assign V810390 = V156218 + 1. assign V427542 = V047038 - 1. assign V472815 = V274689 + 1. assign V537925 = V213436 - 1. assign V059850 = V213436. assign V152238 = V269645 - 1. assign V318511 = V252877 - 1. assign V602635 = V937175. assign V634393 = V106633. assign V656595 = V100446. assign V622135 = V287845. assign V167912 = V651483. assign V072230 = V786140 - 1. assign V186626 = V426286 - 1. assign V693800 = V268941 - 1. assign V335790 = V228058 - 1. assign V292539 = V269645 - 1. assign V100446 = V928692 - 1. assign V192328 = V274689. assign V614240 = V783910 - 1. assign V847653 = V694174 - 1. assign V172015 = V472815 - 1. assign V937870 = V736866. assign V776073 = V034505 - 1. assign V039638 = V034505 + 1. assign V620998 = V443152 + 1. assign V069970 = V385178 + 1. assign V483969 = V762573. assign V474945 = V776095 - 1. assign V738202 = V776073 - 1. assign V928692 = V043105 - 1. assign V824658 = V736866 + 1. assign V384983 = V110234 - 1. assign V444947 = V056350 + 1. assign V443152 = V287845. assign V825683 = V666373. assign V973035 = V767046 + 1. assign V342232 = V722427 + 1. assign V958766 = V575375 + 1. assign V300773 = V034505. assign V287845 = V326662 - 1. assign V315587 = V666373. assign V031240 = V518216 + 1. assign V110234 = V292539. assign V096675 = V863390 - 1. assign V736866 = V837640 - 1. assign V773022 = V326662. assign V345048 = V832515 + 1. assign V433749 = V152238 + 1. assign V523306 = V081478 - 1. assign V776095 = V326662 - 1. assign V818866 = V701440 + 1. assign V205750 = V269645 + 1. assign V722427 = V958766. assign V967211 = V620998 - 1. assign V208762 = V047038 + 1. assign V480108 = V274689. assign V775897 = V518216 - 1. assign V360879 = V221588 - 1. assign V152006 = V721935 + 1. assign V074979 = V937870 - 1. assign V651483 = V326662 + 1. assign V783910 = V043105. assign V666373 = V651483 + 1. assign V106633 = V767046. assign V955770 = V474945 + 1. assign V629777 = V205750 - 1. assign V113743 = V017662 + 1. assign V035718 = V651483 - 1. assign V575375 = V326662 + 1. assign V860287 = V626611 - 1. assign V996014 = V438521 + 1. assign V435646 = V783910. assign V616715 = 7. assign V340344 = V620998 + 1. assign V177909 = V221588. assign V801119 = V443152 + 1. assign V221588 = V426688. assign V640412 = V736866 + 1. assign V863390 = V651483 - 1. assign V034505 = V252877. assign V274689 = V269645. assign V690734 = V810390 - 1. assign V081478 = V870591 - 1. assign V619443 = V575375 - 1. assign V438521 = V928692. assign V694187 = V824658. assign V767046 = V575375 + 1. assign V038625 = V762573 - 1. assign V190202 = V156218 - 1. assign V228442 = V466867. assign V046333 = V092776 + 1. assign V425435 = V762573 - 1. assign V744728 = V017662. assign V686255 = V269645. assign V581065 = V269645.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV616715 = 7;\n\nFrom these direct assignment(s), we have: \nV434047 = V616715 - 1 = 7 - 1 =6;\nNo other variables can be derived from V434047;\nNo other variables can be derived from V616715;\n\nNow we have done all the calculations. Derived variables are:\nV616715 = 7;\nV434047 = 6;\n\nNow we have finished this problem. ANSWER:\nV434047\n", "role": "assistant" } ]

[ "V824517" ]

[ { "content": "<context>\nassign V554458 = V368446. assign V911997 = V575369 - 1. assign V105086 = V248174 - 1. assign V462656 = V890730 - 1. assign V404622 = V931765 - 1. assign V096368 = V209113 - 1. assign V771254 = V890730 - 1. assign V182490 = V532877 + 1. assign V608895 = V778751 + 1. assign V764547 = V632300 + 1. assign V645949 = V601718 - 1. assign V410697 = V189448. assign V552333 = V368446 + 1. assign V190848 = V789770 - 1. assign V191704 = V044724 + 1. assign V399521 = V462656 + 1. assign V371628 = V702912 - 1. assign V514964 = V772075 + 1. assign V030089 = V535674 + 1. assign V739021 = V559604 + 1. assign V705582 = V994644 + 1. assign V128491 = V878291. assign V459665 = V946272 + 1. assign V856874 = V959749 - 1. assign V601718 = V225296 - 1. assign V966586 = V405357. assign V931765 = V081609. assign V575369 = V285721 + 1. assign V666728 = V030089 + 1. assign V244115 = V182742 - 1. assign V289719 = V739021 + 1. assign V124559 = V892348. assign V718349 = V559604. assign V154640 = V789770 + 1. assign V545382 = V190848 - 1. assign V559604 = V285721. assign V396166 = V802804 + 1. assign V723857 = V626130. assign V239209 = V688164. assign V824517 = 2. assign V626130 = V772075 + 1. assign V566134 = V459665 + 1. assign V387010 = V226036 + 1. assign V256988 = V021104. assign V914860 = V552333 + 1. assign V892348 = V739021 - 1. assign V937459 = V498092 - 1. assign V181340 = V427319 - 1. assign V672540 = V427319. assign V272331 = V054150 + 1. assign V185571 = V387010. assign V583341 = V285721 + 1. assign V778751 = V364459 - 1. assign V946272 = V368446 + 1. assign V380846 = V868889 + 1. assign V354547 = V626130 + 1. assign V248174 = V181340. assign V343657 = V575369. assign V081609 = V213240 - 1. assign V638868 = V333283 - 1. assign V496645 = V213240 - 1. assign V857517 = V285721 - 1. assign V130583 = V310063. assign V150918 = V044724 - 1. assign V947193 = V190848 - 1. assign V244614 = V505189 - 1. assign V615281 = V511784 - 1. assign V427319 = V540698 - 1. assign V789770 = V764547 + 1. assign V189448 = V096368 + 1. assign V021104 = V617687 - 1. assign V681418 = V540698 + 1. assign V516238 = V004008 + 1. assign V400273 = V081609 + 1. assign V878291 = V802804 - 1. assign V213240 = V718349. assign V868889 = V497686 - 1. assign V124705 = V702912 + 1. assign V959749 = V459665 - 1. assign V545069 = V617687 + 1. assign V139515 = V552333 - 1. assign V986296 = V158621 - 1. assign V729049 = V925013. assign V962419 = V189448. assign V778748 = V911997 - 1. assign V007159 = V909423 - 1. assign V915119 = V128491. assign V074325 = V705582. assign V053113 = V368446 + 1. assign V727364 = V702912 - 1. assign V311192 = V078313 - 1. assign V540698 = V368446 + 1. assign V453620 = V792815. assign V485778 = V116952 - 1. assign V465534 = V096368 + 1. assign V842773 = V729049 - 1. assign V310063 = V511784. assign V802804 = V044724. assign V343018 = V824517 - 1. assign V617687 = V768101. assign V925013 = V575369 - 1. assign V226036 = V333283 + 1. assign V772075 = V368446 + 1. assign V626316 = V174655. assign V679920 = V427319 + 1. assign V665089 = V890730 - 1. assign V660169 = V886710. assign V477798 = V718349 - 1. assign V688164 = V938656 + 1. assign V696791 = V840326. assign V044724 = V840326. assign V279539 = V764547. assign V346503 = V892348 + 1. assign V297600 = V333283 + 1. assign V152722 = V405357. assign V118256 = V433289 + 1. assign V886710 = V331543 + 1. assign V934669 = V729049. assign V324555 = V279539 - 1. assign V315898 = V226036 + 1. assign V632300 = V840326 + 1. assign V225296 = V617687 - 1. assign V680115 = V279539 - 1. assign V067124 = V878291 + 1. assign V702912 = V764547 + 1. assign V433289 = V226036 + 1. assign V532877 = V632300. assign V187407 = V124705 + 1. assign V024904 = V545382. assign V271328 = V934201 + 1. assign V285721 = V632300 + 1. assign V535674 = V617687 - 1. assign V768101 = V209113 - 1. assign V116952 = V297600. assign V934201 = V554458 + 1. assign V826079 = V798127. assign V798127 = V271328 + 1. assign V054150 = V124559. assign V885251 = V187407 - 1. assign V182269 = V225296 - 1. assign V694274 = V189448. assign V511784 = V182742 - 1. assign V745209 = V485778. assign V004008 = V840326. assign V840326 = V554458. assign V547258 = V400273 - 1. assign V887935 = V857517 - 1. assign V051903 = V498092. assign V333283 = V554458 - 1. assign V182742 = V044724 + 1. assign V159421 = V459665 + 1. assign V927987 = V966586 + 1. assign V498092 = V554458. assign V405357 = V310063 - 1. assign V890730 = V333283 + 1. assign V938656 = V226036 - 1. assign V792815 = V387010. assign V455388 = V285721 + 1. assign V192851 = V768101. assign V497686 = V368446 + 1. assign V707529 = V404622 - 1. assign V174655 = V004008 - 1. assign V994644 = V802804 + 1. assign V364459 = V601718 + 1. assign V871478 = V343657 - 1. assign V158621 = V835582 - 1. assign V909423 = V497686 + 1. assign V209113 = V333283. assign V835582 = V931765 + 1. assign V331543 = V835582. assign V505189 = V158621. assign V078313 = V840326.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V554458 = V368446. assign V911997 = V575369 - 1. assign V105086 = V248174 - 1. assign V462656 = V890730 - 1. assign V404622 = V931765 - 1. assign V096368 = V209113 - 1. assign V771254 = V890730 - 1. assign V182490 = V532877 + 1. assign V608895 = V778751 + 1. assign V764547 = V632300 + 1. assign V645949 = V601718 - 1. assign V410697 = V189448. assign V552333 = V368446 + 1. assign V190848 = V789770 - 1. assign V191704 = V044724 + 1. assign V399521 = V462656 + 1. assign V371628 = V702912 - 1. assign V514964 = V772075 + 1. assign V030089 = V535674 + 1. assign V739021 = V559604 + 1. assign V705582 = V994644 + 1. assign V128491 = V878291. assign V459665 = V946272 + 1. assign V856874 = V959749 - 1. assign V601718 = V225296 - 1. assign V966586 = V405357. assign V931765 = V081609. assign V575369 = V285721 + 1. assign V666728 = V030089 + 1. assign V244115 = V182742 - 1. assign V289719 = V739021 + 1. assign V124559 = V892348. assign V718349 = V559604. assign V154640 = V789770 + 1. assign V545382 = V190848 - 1. assign V559604 = V285721. assign V396166 = V802804 + 1. assign V723857 = V626130. assign V239209 = V688164. assign V824517 = 2. assign V626130 = V772075 + 1. assign V566134 = V459665 + 1. assign V387010 = V226036 + 1. assign V256988 = V021104. assign V914860 = V552333 + 1. assign V892348 = V739021 - 1. assign V937459 = V498092 - 1. assign V181340 = V427319 - 1. assign V672540 = V427319. assign V272331 = V054150 + 1. assign V185571 = V387010. assign V583341 = V285721 + 1. assign V778751 = V364459 - 1. assign V946272 = V368446 + 1. assign V380846 = V868889 + 1. assign V354547 = V626130 + 1. assign V248174 = V181340. assign V343657 = V575369. assign V081609 = V213240 - 1. assign V638868 = V333283 - 1. assign V496645 = V213240 - 1. assign V857517 = V285721 - 1. assign V130583 = V310063. assign V150918 = V044724 - 1. assign V947193 = V190848 - 1. assign V244614 = V505189 - 1. assign V615281 = V511784 - 1. assign V427319 = V540698 - 1. assign V789770 = V764547 + 1. assign V189448 = V096368 + 1. assign V021104 = V617687 - 1. assign V681418 = V540698 + 1. assign V516238 = V004008 + 1. assign V400273 = V081609 + 1. assign V878291 = V802804 - 1. assign V213240 = V718349. assign V868889 = V497686 - 1. assign V124705 = V702912 + 1. assign V959749 = V459665 - 1. assign V545069 = V617687 + 1. assign V139515 = V552333 - 1. assign V986296 = V158621 - 1. assign V729049 = V925013. assign V962419 = V189448. assign V778748 = V911997 - 1. assign V007159 = V909423 - 1. assign V915119 = V128491. assign V074325 = V705582. assign V053113 = V368446 + 1. assign V727364 = V702912 - 1. assign V311192 = V078313 - 1. assign V540698 = V368446 + 1. assign V453620 = V792815. assign V485778 = V116952 - 1. assign V465534 = V096368 + 1. assign V842773 = V729049 - 1. assign V310063 = V511784. assign V802804 = V044724. assign V343018 = V824517 - 1. assign V617687 = V768101. assign V925013 = V575369 - 1. assign V226036 = V333283 + 1. assign V772075 = V368446 + 1. assign V626316 = V174655. assign V679920 = V427319 + 1. assign V665089 = V890730 - 1. assign V660169 = V886710. assign V477798 = V718349 - 1. assign V688164 = V938656 + 1. assign V696791 = V840326. assign V044724 = V840326. assign V279539 = V764547. assign V346503 = V892348 + 1. assign V297600 = V333283 + 1. assign V152722 = V405357. assign V118256 = V433289 + 1. assign V886710 = V331543 + 1. assign V934669 = V729049. assign V324555 = V279539 - 1. assign V315898 = V226036 + 1. assign V632300 = V840326 + 1. assign V225296 = V617687 - 1. assign V680115 = V279539 - 1. assign V067124 = V878291 + 1. assign V702912 = V764547 + 1. assign V433289 = V226036 + 1. assign V532877 = V632300. assign V187407 = V124705 + 1. assign V024904 = V545382. assign V271328 = V934201 + 1. assign V285721 = V632300 + 1. assign V535674 = V617687 - 1. assign V768101 = V209113 - 1. assign V116952 = V297600. assign V934201 = V554458 + 1. assign V826079 = V798127. assign V798127 = V271328 + 1. assign V054150 = V124559. assign V885251 = V187407 - 1. assign V182269 = V225296 - 1. assign V694274 = V189448. assign V511784 = V182742 - 1. assign V745209 = V485778. assign V004008 = V840326. assign V840326 = V554458. assign V547258 = V400273 - 1. assign V887935 = V857517 - 1. assign V051903 = V498092. assign V333283 = V554458 - 1. assign V182742 = V044724 + 1. assign V159421 = V459665 + 1. assign V927987 = V966586 + 1. assign V498092 = V554458. assign V405357 = V310063 - 1. assign V890730 = V333283 + 1. assign V938656 = V226036 - 1. assign V792815 = V387010. assign V455388 = V285721 + 1. assign V192851 = V768101. assign V497686 = V368446 + 1. assign V707529 = V404622 - 1. assign V174655 = V004008 - 1. assign V994644 = V802804 + 1. assign V364459 = V601718 + 1. assign V871478 = V343657 - 1. assign V158621 = V835582 - 1. assign V909423 = V497686 + 1. assign V209113 = V333283. assign V835582 = V931765 + 1. assign V331543 = V835582. assign V505189 = V158621. assign V078313 = V840326.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV824517 = 2;\n\nFrom these direct assignment(s), we have: \nV343018 = V824517 - 1 = 2 - 1 =1;\nNo other variables can be derived from V343018;\nNo other variables can be derived from V824517;\n\nNow we have done all the calculations. Derived variables are:\nV824517 = 2;\nV343018 = 1;\n\nNow we have finished this problem. ANSWER:\nV824517\n", "role": "assistant" } ]

[ "V339683", "V501901" ]

[ { "content": "<context>\nassign V520526 = V946604 + 1. assign V408796 = V682233. assign V203066 = V915309 + 1. assign V858449 = V724342. assign V532917 = V466441 + 1. assign V508170 = V408796. assign V769236 = V762287 - 1. assign V762287 = V517948. assign V682233 = V065813 - 1. assign V686621 = V137259 + 1. assign V745254 = V558270 + 1. assign V447354 = V758263 - 1. assign V017599 = V034474 - 1. assign V778531 = V037199 - 1. assign V387311 = V537801 + 1. assign V558270 = V619197. assign V831716 = V974133. assign V001987 = V974133 + 1. assign V801022 = V004831 - 1. assign V977186 = V813317 + 1. assign V639462 = V065813 - 1. assign V596231 = V977932 + 1. assign V316110 = V530451. assign V415167 = V606907 - 1. assign V782810 = V686621 - 1. assign V987509 = V341370. assign V953598 = V942487 + 1. assign V882231 = V553528 + 1. assign V886677 = V962896 + 1. assign V217769 = V679881 - 1. assign V644301 = V667828. assign V129410 = V466169 - 1. assign V962896 = V341370 - 1. assign V004831 = V856723 - 1. assign V645524 = V538034 + 1. assign V679881 = V974133 + 1. assign V908580 = V538034. assign V466441 = V770129 + 1. assign V640688 = V006764. assign V551747 = V111252. assign V371013 = V509012. assign V159035 = V810194 - 1. assign V034474 = V769236. assign V111690 = V782810 - 1. assign V483750 = V619197 - 1. assign V625236 = V682233. assign V215239 = V374565. assign V249840 = V762287 - 1. assign V132581 = V578927. assign V905167 = V115410 - 1. assign V534583 = V946604. assign V667828 = V006764. assign V478875 = V341370 - 1. assign V777017 = V946604 + 1. assign V799189 = V538034 + 1. assign V915309 = V520526 - 1. assign V724342 = V520526. assign V856723 = V374565 + 1. assign V121581 = V120922. assign V374565 = V571524 + 1. assign V419082 = V676557 - 1. assign V401619 = V645524 + 1. assign V638331 = V801022. assign V676557 = V530451 + 1. assign V073958 = V778531. assign V757107 = V534583 + 1. assign V184528 = V939688. assign V509473 = V639462 + 1. assign V126354 = V987509 + 1. assign V423785 = V702053. assign V300304 = V089190. assign V095326 = V558270 + 1. assign V657595 = V679881 - 1. assign V065813 = V856723. assign V877782 = V908580 - 1. assign V796547 = V318015. assign V832072 = V037199 - 1. assign V464748 = V801022 - 1. assign V702053 = V335123 + 1. assign V517948 = V777017 + 1. assign V447123 = V856723. assign V501901 = V339683. assign V813065 = V676557. assign V548351 = V801022 + 1. assign V137259 = V610388. assign V016869 = V203066 - 1. assign V019986 = V713699 - 1. assign V787639 = V006764 + 1. assign V207994 = V858455 - 1. assign V341370 = V974133 + 1. assign V337801 = V803037. assign V610388 = V517948. assign V109226 = V121581. assign V723433 = V120922 + 1. assign V974133 = V004831. assign V037199 = V571524. assign V810194 = V520526 - 1. assign V065029 = V006764. assign V942487 = V777017. assign V141293 = V834375 - 1. assign V111252 = V387311. assign V008342 = V974133. assign V982862 = V006764. assign V372722 = V115410 + 1. assign V006764 = V374565 + 1. assign V619197 = V571524 + 1. assign V215244 = V374565 + 1. assign V074842 = V120922 + 1. assign V539241 = V316110 - 1. assign V571524 = V946604. assign V453429 = V089190 + 1. assign V478207 = V723433 - 1. assign V089190 = V939688. assign V630303 = V953598. assign V716435 = V065813 + 1. assign V813317 = V813065 - 1. assign V318015 = V266578 - 1. assign V394905 = V974133 + 1. assign V770129 = V111690 + 1. assign V120922 = V939688 + 1. assign V846760 = V001987 + 1. assign V537801 = V686621. assign V538034 = V762287 + 1. assign V625621 = V596231. assign V153765 = V946604 - 1. assign V106890 = V394905 - 1. assign V877918 = V495845 - 1. assign V758263 = V777017 + 1. assign V977932 = V137259 + 1. assign V803037 = V137259 - 1. assign V617778 = V341370 - 1. assign V839402 = V122294 + 1. assign V495845 = V447123 + 1. assign V968764 = V004831. assign V459171 = V271341 + 1. assign V182740 = V120922 + 1. assign V266578 = V509012 - 1. assign V271341 = V137259 + 1. assign V667620 = V968764 + 1. assign V335123 = V946604 + 1. assign V530451 = V953598 - 1. assign V456231 = V831716 + 1. assign V263841 = V625236 + 1. assign V613682 = V331636 + 1. assign V331636 = V787639. assign V834375 = V778531. assign V545292 = V974133 - 1. assign V125126 = V946604. assign V466169 = V856723 + 1. assign V522782 = V517948 - 1. assign V409450 = V300304 - 1. assign V606907 = V530451 + 1. assign V382427 = V345369 - 1. assign V509012 = V577720 - 1. assign V577720 = V610388 - 1. assign V713699 = V769236 + 1. assign V115410 = V538034 - 1. assign V858455 = V558270 + 1. assign V484142 = V074842. assign V795737 = V065813. assign V939688 = V953598 - 1. assign V182760 = V977932. assign V243456 = V645524 + 1. assign V267069 = V065813. assign V553528 = V520526 + 1. assign V122294 = V037199 + 1. assign V005836 = V803037. assign V339683 = 4. assign V754440 = V831716 + 1. assign V345369 = V571524 + 1. assign V029052 = V953598 - 1. assign V578927 = V942487 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V520526 = V946604 + 1. assign V408796 = V682233. assign V203066 = V915309 + 1. assign V858449 = V724342. assign V532917 = V466441 + 1. assign V508170 = V408796. assign V769236 = V762287 - 1. assign V762287 = V517948. assign V682233 = V065813 - 1. assign V686621 = V137259 + 1. assign V745254 = V558270 + 1. assign V447354 = V758263 - 1. assign V017599 = V034474 - 1. assign V778531 = V037199 - 1. assign V387311 = V537801 + 1. assign V558270 = V619197. assign V831716 = V974133. assign V001987 = V974133 + 1. assign V801022 = V004831 - 1. assign V977186 = V813317 + 1. assign V639462 = V065813 - 1. assign V596231 = V977932 + 1. assign V316110 = V530451. assign V415167 = V606907 - 1. assign V782810 = V686621 - 1. assign V987509 = V341370. assign V953598 = V942487 + 1. assign V882231 = V553528 + 1. assign V886677 = V962896 + 1. assign V217769 = V679881 - 1. assign V644301 = V667828. assign V129410 = V466169 - 1. assign V962896 = V341370 - 1. assign V004831 = V856723 - 1. assign V645524 = V538034 + 1. assign V679881 = V974133 + 1. assign V908580 = V538034. assign V466441 = V770129 + 1. assign V640688 = V006764. assign V551747 = V111252. assign V371013 = V509012. assign V159035 = V810194 - 1. assign V034474 = V769236. assign V111690 = V782810 - 1. assign V483750 = V619197 - 1. assign V625236 = V682233. assign V215239 = V374565. assign V249840 = V762287 - 1. assign V132581 = V578927. assign V905167 = V115410 - 1. assign V534583 = V946604. assign V667828 = V006764. assign V478875 = V341370 - 1. assign V777017 = V946604 + 1. assign V799189 = V538034 + 1. assign V915309 = V520526 - 1. assign V724342 = V520526. assign V856723 = V374565 + 1. assign V121581 = V120922. assign V374565 = V571524 + 1. assign V419082 = V676557 - 1. assign V401619 = V645524 + 1. assign V638331 = V801022. assign V676557 = V530451 + 1. assign V073958 = V778531. assign V757107 = V534583 + 1. assign V184528 = V939688. assign V509473 = V639462 + 1. assign V126354 = V987509 + 1. assign V423785 = V702053. assign V300304 = V089190. assign V095326 = V558270 + 1. assign V657595 = V679881 - 1. assign V065813 = V856723. assign V877782 = V908580 - 1. assign V796547 = V318015. assign V832072 = V037199 - 1. assign V464748 = V801022 - 1. assign V702053 = V335123 + 1. assign V517948 = V777017 + 1. assign V447123 = V856723. assign V501901 = V339683. assign V813065 = V676557. assign V548351 = V801022 + 1. assign V137259 = V610388. assign V016869 = V203066 - 1. assign V019986 = V713699 - 1. assign V787639 = V006764 + 1. assign V207994 = V858455 - 1. assign V341370 = V974133 + 1. assign V337801 = V803037. assign V610388 = V517948. assign V109226 = V121581. assign V723433 = V120922 + 1. assign V974133 = V004831. assign V037199 = V571524. assign V810194 = V520526 - 1. assign V065029 = V006764. assign V942487 = V777017. assign V141293 = V834375 - 1. assign V111252 = V387311. assign V008342 = V974133. assign V982862 = V006764. assign V372722 = V115410 + 1. assign V006764 = V374565 + 1. assign V619197 = V571524 + 1. assign V215244 = V374565 + 1. assign V074842 = V120922 + 1. assign V539241 = V316110 - 1. assign V571524 = V946604. assign V453429 = V089190 + 1. assign V478207 = V723433 - 1. assign V089190 = V939688. assign V630303 = V953598. assign V716435 = V065813 + 1. assign V813317 = V813065 - 1. assign V318015 = V266578 - 1. assign V394905 = V974133 + 1. assign V770129 = V111690 + 1. assign V120922 = V939688 + 1. assign V846760 = V001987 + 1. assign V537801 = V686621. assign V538034 = V762287 + 1. assign V625621 = V596231. assign V153765 = V946604 - 1. assign V106890 = V394905 - 1. assign V877918 = V495845 - 1. assign V758263 = V777017 + 1. assign V977932 = V137259 + 1. assign V803037 = V137259 - 1. assign V617778 = V341370 - 1. assign V839402 = V122294 + 1. assign V495845 = V447123 + 1. assign V968764 = V004831. assign V459171 = V271341 + 1. assign V182740 = V120922 + 1. assign V266578 = V509012 - 1. assign V271341 = V137259 + 1. assign V667620 = V968764 + 1. assign V335123 = V946604 + 1. assign V530451 = V953598 - 1. assign V456231 = V831716 + 1. assign V263841 = V625236 + 1. assign V613682 = V331636 + 1. assign V331636 = V787639. assign V834375 = V778531. assign V545292 = V974133 - 1. assign V125126 = V946604. assign V466169 = V856723 + 1. assign V522782 = V517948 - 1. assign V409450 = V300304 - 1. assign V606907 = V530451 + 1. assign V382427 = V345369 - 1. assign V509012 = V577720 - 1. assign V577720 = V610388 - 1. assign V713699 = V769236 + 1. assign V115410 = V538034 - 1. assign V858455 = V558270 + 1. assign V484142 = V074842. assign V795737 = V065813. assign V939688 = V953598 - 1. assign V182760 = V977932. assign V243456 = V645524 + 1. assign V267069 = V065813. assign V553528 = V520526 + 1. assign V122294 = V037199 + 1. assign V005836 = V803037. assign V339683 = 4. assign V754440 = V831716 + 1. assign V345369 = V571524 + 1. assign V029052 = V953598 - 1. assign V578927 = V942487 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV339683 = 4;\n\nFrom these direct assignment(s), we have: \nV501901 = V339683 = 4;\nNo other variables can be derived from V501901;\nNo other variables can be derived from V339683;\n\nNow we have done all the calculations. Derived variables are:\nV339683 = 4;\nV501901 = 4;\n\nNow we have finished this problem. ANSWER:\nV339683, V501901\n", "role": "assistant" } ]

[ "V304167" ]

[ { "content": "<context>\nassign V098708 = V396203 + 1. assign V667918 = V691439 - 1. assign V254111 = V136640. assign V852202 = V452279 - 1. assign V598738 = V329219 + 1. assign V707298 = V864124 + 1. assign V993396 = V442389 - 1. assign V824312 = V273458. assign V742818 = V707298 - 1. assign V212352 = V269976 - 1. assign V457150 = V273458 + 1. assign V783421 = V136640. assign V546413 = V481890 - 1. assign V214585 = V857914 + 1. assign V105208 = V756397 - 1. assign V691439 = V201100 + 1. assign V392205 = V721497 + 1. assign V167477 = V396203. assign V086800 = V481890. assign V878644 = V565761 - 1. assign V775597 = V864124 - 1. assign V785415 = V260965. assign V772114 = V457422 - 1. assign V518512 = V478016. assign V872672 = V452024. assign V783389 = V574250 - 1. assign V382134 = V747241 + 1. assign V401907 = V201100 - 1. assign V455953 = V457422 + 1. assign V747241 = V260965. assign V452279 = V251131. assign V707844 = V447215. assign V225701 = V442389. assign V471691 = V721497 - 1. assign V169050 = V923349 + 1. assign V747538 = V329219. assign V710493 = V273458 + 1. assign V382759 = V618298. assign V558480 = V724478. assign V622656 = V742244 - 1. assign V251131 = V442389 - 1. assign V966011 = V136640. assign V655068 = V626313 - 1. assign V627385 = V758128 - 1. assign V689750 = V775597. assign V224985 = V852202. assign V396868 = V273458 + 1. assign V696618 = V251131 - 1. assign V918465 = V693594 - 1. assign V309388 = V478016 - 1. assign V273458 = V251131. assign V634224 = V226843 - 1. assign V329219 = V254111 + 1. assign V381555 = V758128 - 1. assign V265154 = V988503. assign V724478 = V452024 - 1. assign V574250 = V785415 + 1. assign V861626 = V251131. assign V030144 = V167477 + 1. assign V156044 = V452024 + 1. assign V162342 = V426456 + 1. assign V365356 = V672748 - 1. assign V935213 = V707298 + 1. assign V972937 = V265154 + 1. assign V028576 = V136640 + 1. assign V455226 = V396203 + 1. assign V277716 = V095756. assign V815539 = V966011. assign V758128 = V857914. assign V805184 = V785415 - 1. assign V163052 = V574250. assign V057651 = V815539 + 1. assign V381703 = V988503. assign V273420 = V815539 - 1. assign V708399 = V721497 + 1. assign V029348 = V756397. assign V578000 = V872672. assign V429468 = V923349 + 1. assign V914005 = V283299. assign V075509 = V452024 + 1. assign V624562 = V105208. assign V264605 = V365356 + 1. assign V942681 = V689750 - 1. assign V883492 = 3. assign V076990 = V442389 - 1. assign V597849 = V611510. assign V014086 = V201100. assign V052096 = V190858 - 1. assign V655343 = V993396 + 1. assign V190858 = V758128 + 1. assign V535133 = V771617 + 1. assign V226843 = V452024 - 1. assign V297649 = V655068 + 1. assign V042532 = V226843 - 1. assign V810783 = V710493 - 1. assign V364528 = V190858 + 1. assign V392741 = V426456. assign V049836 = V340865 + 1. assign V095756 = V340865 + 1. assign V806164 = V815539 + 1. assign V093281 = V993396 + 1. assign V565761 = V167477 + 1. assign V283299 = V493700 - 1. assign V447215 = V935213. assign V939708 = V136640 + 1. assign V618298 = V574250 - 1. assign V980565 = V519463 - 1. assign V493700 = V758128. assign V952317 = V156044 - 1. assign V251645 = V806164 - 1. assign V457422 = V672748 - 1. assign V693594 = V457150. assign V080400 = V633221 + 1. assign V519463 = V273458 + 1. assign V617216 = V417472 - 1. assign V578142 = V721497. assign V136640 = V452024. assign V857914 = V775597 - 1. assign V306506 = V617216 + 1. assign V855057 = V535133. assign V633221 = V498561 + 1. assign V923349 = V417472 - 1. assign V756397 = V028576 - 1. assign V362119 = V696618. assign V201100 = V426456 + 1. assign V771617 = V364528 + 1. assign V718554 = V340865 + 1. assign V304167 = V883492 + 1. assign V683502 = V634224. assign V728025 = V667918. assign V442389 = V452024. assign V909843 = V167477 - 1. assign V405207 = V758128 - 1. assign V852519 = V271095 - 1. assign V481890 = V136640 + 1. assign V426456 = V993396 - 1. assign V168159 = V966598 - 1. assign V491909 = V093281 - 1. assign V155530 = V365356 + 1. assign V297461 = V442389. assign V063485 = V251131. assign V323111 = V057651. assign V513757 = V611510. assign V611510 = V098708 - 1. assign V742244 = V452279 - 1. assign V787312 = V224985 - 1. assign V988503 = V783421 + 1. assign V889466 = V923349. assign V340865 = V457150 - 1. assign V626313 = V426456 - 1. assign V506707 = V689750 - 1. assign V688896 = V627385 - 1. assign V207417 = V167477 - 1. assign V953739 = V597849 - 1. assign V680524 = V392205. assign V271095 = V857914 + 1. assign V672748 = V226843. assign V993565 = V080400 + 1. assign V478016 = V251131 + 1. assign V269976 = V392741 - 1. assign V966598 = V417472 - 1. assign V452024 = V864124 + 1. assign V498561 = V775597. assign V854572 = V506707 - 1. assign V931233 = V535133 + 1. assign V721497 = V028576 - 1. assign V815881 = V852202. assign V260965 = V864124. assign V799033 = V721497. assign V417472 = V857914 + 1. assign V418106 = V093281 + 1. assign V396203 = V136640.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V098708 = V396203 + 1. assign V667918 = V691439 - 1. assign V254111 = V136640. assign V852202 = V452279 - 1. assign V598738 = V329219 + 1. assign V707298 = V864124 + 1. assign V993396 = V442389 - 1. assign V824312 = V273458. assign V742818 = V707298 - 1. assign V212352 = V269976 - 1. assign V457150 = V273458 + 1. assign V783421 = V136640. assign V546413 = V481890 - 1. assign V214585 = V857914 + 1. assign V105208 = V756397 - 1. assign V691439 = V201100 + 1. assign V392205 = V721497 + 1. assign V167477 = V396203. assign V086800 = V481890. assign V878644 = V565761 - 1. assign V775597 = V864124 - 1. assign V785415 = V260965. assign V772114 = V457422 - 1. assign V518512 = V478016. assign V872672 = V452024. assign V783389 = V574250 - 1. assign V382134 = V747241 + 1. assign V401907 = V201100 - 1. assign V455953 = V457422 + 1. assign V747241 = V260965. assign V452279 = V251131. assign V707844 = V447215. assign V225701 = V442389. assign V471691 = V721497 - 1. assign V169050 = V923349 + 1. assign V747538 = V329219. assign V710493 = V273458 + 1. assign V382759 = V618298. assign V558480 = V724478. assign V622656 = V742244 - 1. assign V251131 = V442389 - 1. assign V966011 = V136640. assign V655068 = V626313 - 1. assign V627385 = V758128 - 1. assign V689750 = V775597. assign V224985 = V852202. assign V396868 = V273458 + 1. assign V696618 = V251131 - 1. assign V918465 = V693594 - 1. assign V309388 = V478016 - 1. assign V273458 = V251131. assign V634224 = V226843 - 1. assign V329219 = V254111 + 1. assign V381555 = V758128 - 1. assign V265154 = V988503. assign V724478 = V452024 - 1. assign V574250 = V785415 + 1. assign V861626 = V251131. assign V030144 = V167477 + 1. assign V156044 = V452024 + 1. assign V162342 = V426456 + 1. assign V365356 = V672748 - 1. assign V935213 = V707298 + 1. assign V972937 = V265154 + 1. assign V028576 = V136640 + 1. assign V455226 = V396203 + 1. assign V277716 = V095756. assign V815539 = V966011. assign V758128 = V857914. assign V805184 = V785415 - 1. assign V163052 = V574250. assign V057651 = V815539 + 1. assign V381703 = V988503. assign V273420 = V815539 - 1. assign V708399 = V721497 + 1. assign V029348 = V756397. assign V578000 = V872672. assign V429468 = V923349 + 1. assign V914005 = V283299. assign V075509 = V452024 + 1. assign V624562 = V105208. assign V264605 = V365356 + 1. assign V942681 = V689750 - 1. assign V883492 = 3. assign V076990 = V442389 - 1. assign V597849 = V611510. assign V014086 = V201100. assign V052096 = V190858 - 1. assign V655343 = V993396 + 1. assign V190858 = V758128 + 1. assign V535133 = V771617 + 1. assign V226843 = V452024 - 1. assign V297649 = V655068 + 1. assign V042532 = V226843 - 1. assign V810783 = V710493 - 1. assign V364528 = V190858 + 1. assign V392741 = V426456. assign V049836 = V340865 + 1. assign V095756 = V340865 + 1. assign V806164 = V815539 + 1. assign V093281 = V993396 + 1. assign V565761 = V167477 + 1. assign V283299 = V493700 - 1. assign V447215 = V935213. assign V939708 = V136640 + 1. assign V618298 = V574250 - 1. assign V980565 = V519463 - 1. assign V493700 = V758128. assign V952317 = V156044 - 1. assign V251645 = V806164 - 1. assign V457422 = V672748 - 1. assign V693594 = V457150. assign V080400 = V633221 + 1. assign V519463 = V273458 + 1. assign V617216 = V417472 - 1. assign V578142 = V721497. assign V136640 = V452024. assign V857914 = V775597 - 1. assign V306506 = V617216 + 1. assign V855057 = V535133. assign V633221 = V498561 + 1. assign V923349 = V417472 - 1. assign V756397 = V028576 - 1. assign V362119 = V696618. assign V201100 = V426456 + 1. assign V771617 = V364528 + 1. assign V718554 = V340865 + 1. assign V304167 = V883492 + 1. assign V683502 = V634224. assign V728025 = V667918. assign V442389 = V452024. assign V909843 = V167477 - 1. assign V405207 = V758128 - 1. assign V852519 = V271095 - 1. assign V481890 = V136640 + 1. assign V426456 = V993396 - 1. assign V168159 = V966598 - 1. assign V491909 = V093281 - 1. assign V155530 = V365356 + 1. assign V297461 = V442389. assign V063485 = V251131. assign V323111 = V057651. assign V513757 = V611510. assign V611510 = V098708 - 1. assign V742244 = V452279 - 1. assign V787312 = V224985 - 1. assign V988503 = V783421 + 1. assign V889466 = V923349. assign V340865 = V457150 - 1. assign V626313 = V426456 - 1. assign V506707 = V689750 - 1. assign V688896 = V627385 - 1. assign V207417 = V167477 - 1. assign V953739 = V597849 - 1. assign V680524 = V392205. assign V271095 = V857914 + 1. assign V672748 = V226843. assign V993565 = V080400 + 1. assign V478016 = V251131 + 1. assign V269976 = V392741 - 1. assign V966598 = V417472 - 1. assign V452024 = V864124 + 1. assign V498561 = V775597. assign V854572 = V506707 - 1. assign V931233 = V535133 + 1. assign V721497 = V028576 - 1. assign V815881 = V852202. assign V260965 = V864124. assign V799033 = V721497. assign V417472 = V857914 + 1. assign V418106 = V093281 + 1. assign V396203 = V136640.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV883492 = 3;\n\nFrom these direct assignment(s), we have: \nV304167 = V883492 + 1 = 3 + 1 =4;\nNo other variables can be derived from V304167;\nNo other variables can be derived from V883492;\n\nNow we have done all the calculations. Derived variables are:\nV883492 = 3;\nV304167 = 4;\n\nNow we have finished this problem. ANSWER:\nV304167\n", "role": "assistant" } ]

[ "V396943", "V582303" ]

[ { "content": "<context>\nassign V000332 = V565146 + 1. assign V130147 = V700567 - 1. assign V043210 = V547040. assign V788571 = V790847 + 1. assign V396943 = 6. assign V353243 = V175905. assign V933143 = V137274 + 1. assign V428000 = V953349. assign V281835 = V269621 + 1. assign V343748 = V484056 + 1. assign V400840 = V165952 - 1. assign V943872 = V415774. assign V165952 = V611277. assign V276308 = V165952 - 1. assign V484056 = V137274. assign V082153 = V933143. assign V398527 = V615201 - 1. assign V553222 = V757043 + 1. assign V658533 = V037822 + 1. assign V434444 = V866652. assign V287542 = V886150 - 1. assign V322269 = V415774. assign V781534 = V654167 + 1. assign V755627 = V161530 + 1. assign V052387 = V385119 + 1. assign V385119 = V611277 + 1. assign V654167 = V851054 - 1. assign V988702 = V138173. assign V884262 = V445861. assign V762060 = V906018 - 1. assign V711694 = V999001. assign V547040 = V802643 + 1. assign V970029 = V700567 + 1. assign V953349 = V138253 - 1. assign V127803 = V338456 + 1. assign V161530 = V886817 + 1. assign V138253 = V509343 - 1. assign V037822 = V102056 + 1. assign V156528 = V468117. assign V949695 = V082153. assign V737669 = V388708 + 1. assign V571682 = V685055 - 1. assign V415584 = V620228 + 1. assign V523131 = V885017. assign V773834 = V252148 + 1. assign V137274 = V822426 + 1. assign V906018 = V138173 - 1. assign V421683 = V480816 + 1. assign V301129 = V227212 + 1. assign V430528 = V027271 + 1. assign V606867 = V385119 - 1. assign V999001 = V484056. assign V934466 = V891323 + 1. assign V238445 = V864769 + 1. assign V480816 = V138173 + 1. assign V780563 = V860491. assign V582303 = V396943. assign V156885 = V421683. assign V594046 = V063167. assign V185335 = V685055 + 1. assign V411208 = V620228. assign V630288 = V611277. assign V996028 = V484056. assign V851054 = V445861. assign V541015 = V860491. assign V369143 = V027271 - 1. assign V503439 = V027271 + 1. assign V108165 = V949695. assign V185301 = V571232. assign V891323 = V999001 - 1. assign V603961 = V400840 + 1. assign V215135 = V027271 - 1. assign V269050 = V484056 + 1. assign V434256 = V252148. assign V698294 = V008995 - 1. assign V885017 = V415584 - 1. assign V866652 = V884262. assign V327532 = V515540 + 1. assign V738961 = V673274 + 1. assign V864769 = V988702 + 1. assign V281658 = V999001. assign V292727 = V523131 + 1. assign V611277 = V700567 - 1. assign V027271 = V822426 - 1. assign V338456 = V734774 - 1. assign V718407 = V185363 + 1. assign V889831 = V860491 + 1. assign V183412 = V415584 + 1. assign V348504 = V650141 - 1. assign V373304 = V650141 + 1. assign V927091 = V822426 + 1. assign V646148 = V430528 + 1. assign V668785 = V953349. assign V867827 = V650141 + 1. assign V856163 = V445861. assign V132928 = V757043 + 1. assign V912758 = V100906 - 1. assign V227212 = V988702 + 1. assign V764711 = V762060 + 1. assign V700567 = V933143 + 1. assign V113412 = V547040. assign V228659 = V700567 + 1. assign V063167 = V137274 + 1. assign V802643 = V430528 - 1. assign V720723 = V764711 + 1. assign V492721 = V884262 + 1. assign V204289 = V343748. assign V650141 = V547040 - 1. assign V184872 = V165952 - 1. assign V527287 = V345866. assign V367003 = V082153 + 1. assign V790847 = V860491. assign V673274 = V620228 - 1. assign V886817 = V822426. assign V138173 = V611277 + 1. assign V268089 = V185335 + 1. assign V388708 = V954544 - 1. assign V734774 = V137274. assign V571232 = V445861 + 1. assign V565146 = V884262. assign V100906 = V866652 - 1. assign V269621 = V685055 - 1. assign V581857 = V906018 + 1. assign V515540 = V484056 + 1. assign V818363 = V082153. assign V269325 = V737669 - 1. assign V158307 = V700567 - 1. assign V638482 = V996028. assign V652869 = V943872. assign V943655 = V184872 - 1. assign V865315 = V158307. assign V178501 = V445861 + 1. assign V008995 = V415774. assign V252148 = V430528 - 1. assign V860491 = V996028 + 1. assign V300786 = V445861 - 1. assign V615201 = V445861 + 1. assign V656332 = V445861. assign V468117 = V495121 - 1. assign V509343 = V848607. assign V290518 = V158307. assign V345866 = V415774. assign V257504 = V158307 + 1. assign V748289 = V257504 + 1. assign V271614 = V762060 + 1. assign V495121 = V456767 - 1. assign V848607 = V415584 - 1. assign V185789 = V886817. assign V175905 = V818363. assign V185363 = V138173 + 1. assign V886150 = V865315. assign V750857 = V886817. assign V371448 = V927091 + 1. assign V575115 = V757043. assign V333393 = V000332. assign V445861 = V734774 - 1. assign V620228 = V734774 + 1. assign V922305 = V611277 + 1. assign V239427 = V891323 - 1. assign V954544 = V611277. assign V846111 = V281658. assign V102056 = V933143. assign V757043 = V108165. assign V685055 = V430528. assign V415774 = V996028 + 1. assign V171102 = V350746. assign V687222 = V204289 + 1. assign V415786 = V000332. assign V350746 = V027271 + 1. assign V893906 = V161530 + 1. assign V037763 = V565146. assign V456767 = V860491.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V000332 = V565146 + 1. assign V130147 = V700567 - 1. assign V043210 = V547040. assign V788571 = V790847 + 1. assign V396943 = 6. assign V353243 = V175905. assign V933143 = V137274 + 1. assign V428000 = V953349. assign V281835 = V269621 + 1. assign V343748 = V484056 + 1. assign V400840 = V165952 - 1. assign V943872 = V415774. assign V165952 = V611277. assign V276308 = V165952 - 1. assign V484056 = V137274. assign V082153 = V933143. assign V398527 = V615201 - 1. assign V553222 = V757043 + 1. assign V658533 = V037822 + 1. assign V434444 = V866652. assign V287542 = V886150 - 1. assign V322269 = V415774. assign V781534 = V654167 + 1. assign V755627 = V161530 + 1. assign V052387 = V385119 + 1. assign V385119 = V611277 + 1. assign V654167 = V851054 - 1. assign V988702 = V138173. assign V884262 = V445861. assign V762060 = V906018 - 1. assign V711694 = V999001. assign V547040 = V802643 + 1. assign V970029 = V700567 + 1. assign V953349 = V138253 - 1. assign V127803 = V338456 + 1. assign V161530 = V886817 + 1. assign V138253 = V509343 - 1. assign V037822 = V102056 + 1. assign V156528 = V468117. assign V949695 = V082153. assign V737669 = V388708 + 1. assign V571682 = V685055 - 1. assign V415584 = V620228 + 1. assign V523131 = V885017. assign V773834 = V252148 + 1. assign V137274 = V822426 + 1. assign V906018 = V138173 - 1. assign V421683 = V480816 + 1. assign V301129 = V227212 + 1. assign V430528 = V027271 + 1. assign V606867 = V385119 - 1. assign V999001 = V484056. assign V934466 = V891323 + 1. assign V238445 = V864769 + 1. assign V480816 = V138173 + 1. assign V780563 = V860491. assign V582303 = V396943. assign V156885 = V421683. assign V594046 = V063167. assign V185335 = V685055 + 1. assign V411208 = V620228. assign V630288 = V611277. assign V996028 = V484056. assign V851054 = V445861. assign V541015 = V860491. assign V369143 = V027271 - 1. assign V503439 = V027271 + 1. assign V108165 = V949695. assign V185301 = V571232. assign V891323 = V999001 - 1. assign V603961 = V400840 + 1. assign V215135 = V027271 - 1. assign V269050 = V484056 + 1. assign V434256 = V252148. assign V698294 = V008995 - 1. assign V885017 = V415584 - 1. assign V866652 = V884262. assign V327532 = V515540 + 1. assign V738961 = V673274 + 1. assign V864769 = V988702 + 1. assign V281658 = V999001. assign V292727 = V523131 + 1. assign V611277 = V700567 - 1. assign V027271 = V822426 - 1. assign V338456 = V734774 - 1. assign V718407 = V185363 + 1. assign V889831 = V860491 + 1. assign V183412 = V415584 + 1. assign V348504 = V650141 - 1. assign V373304 = V650141 + 1. assign V927091 = V822426 + 1. assign V646148 = V430528 + 1. assign V668785 = V953349. assign V867827 = V650141 + 1. assign V856163 = V445861. assign V132928 = V757043 + 1. assign V912758 = V100906 - 1. assign V227212 = V988702 + 1. assign V764711 = V762060 + 1. assign V700567 = V933143 + 1. assign V113412 = V547040. assign V228659 = V700567 + 1. assign V063167 = V137274 + 1. assign V802643 = V430528 - 1. assign V720723 = V764711 + 1. assign V492721 = V884262 + 1. assign V204289 = V343748. assign V650141 = V547040 - 1. assign V184872 = V165952 - 1. assign V527287 = V345866. assign V367003 = V082153 + 1. assign V790847 = V860491. assign V673274 = V620228 - 1. assign V886817 = V822426. assign V138173 = V611277 + 1. assign V268089 = V185335 + 1. assign V388708 = V954544 - 1. assign V734774 = V137274. assign V571232 = V445861 + 1. assign V565146 = V884262. assign V100906 = V866652 - 1. assign V269621 = V685055 - 1. assign V581857 = V906018 + 1. assign V515540 = V484056 + 1. assign V818363 = V082153. assign V269325 = V737669 - 1. assign V158307 = V700567 - 1. assign V638482 = V996028. assign V652869 = V943872. assign V943655 = V184872 - 1. assign V865315 = V158307. assign V178501 = V445861 + 1. assign V008995 = V415774. assign V252148 = V430528 - 1. assign V860491 = V996028 + 1. assign V300786 = V445861 - 1. assign V615201 = V445861 + 1. assign V656332 = V445861. assign V468117 = V495121 - 1. assign V509343 = V848607. assign V290518 = V158307. assign V345866 = V415774. assign V257504 = V158307 + 1. assign V748289 = V257504 + 1. assign V271614 = V762060 + 1. assign V495121 = V456767 - 1. assign V848607 = V415584 - 1. assign V185789 = V886817. assign V175905 = V818363. assign V185363 = V138173 + 1. assign V886150 = V865315. assign V750857 = V886817. assign V371448 = V927091 + 1. assign V575115 = V757043. assign V333393 = V000332. assign V445861 = V734774 - 1. assign V620228 = V734774 + 1. assign V922305 = V611277 + 1. assign V239427 = V891323 - 1. assign V954544 = V611277. assign V846111 = V281658. assign V102056 = V933143. assign V757043 = V108165. assign V685055 = V430528. assign V415774 = V996028 + 1. assign V171102 = V350746. assign V687222 = V204289 + 1. assign V415786 = V000332. assign V350746 = V027271 + 1. assign V893906 = V161530 + 1. assign V037763 = V565146. assign V456767 = V860491.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV396943 = 6;\n\nFrom these direct assignment(s), we have: \nV582303 = V396943 = 6;\nNo other variables can be derived from V582303;\nNo other variables can be derived from V396943;\n\nNow we have done all the calculations. Derived variables are:\nV396943 = 6;\nV582303 = 6;\n\nNow we have finished this problem. ANSWER:\nV396943, V582303\n", "role": "assistant" } ]

[ "V367670" ]

[ { "content": "<context>\nassign V116584 = V215043 + 1. assign V726438 = V441332 + 1. assign V131561 = V377009. assign V271703 = V817847 - 1. assign V449975 = V701906. assign V803587 = V260630 - 1. assign V307493 = V569652. assign V817847 = V449975 + 1. assign V802701 = V409238. assign V471189 = V908841. assign V534998 = V409238. assign V229085 = V726438 - 1. assign V306686 = V276008. assign V924131 = V441332 - 1. assign V220506 = V924131 + 1. assign V798986 = V441332 + 1. assign V215043 = V569652 + 1. assign V418922 = V373035. assign V657119 = V373035 - 1. assign V849791 = V344543 + 1. assign V625386 = V615809 - 1. assign V876798 = V419133 + 1. assign V637500 = V191366. assign V276008 = V104752 + 1. assign V893853 = V116584. assign V538787 = V906342. assign V494248 = V347102 + 1. assign V938312 = V116064 + 1. assign V719404 = V499043 - 1. assign V843920 = V976638 + 1. assign V118073 = V569652. assign V108200 = V239092. assign V972983 = V460053. assign V919213 = V365774 + 1. assign V648286 = V229085 + 1. assign V373416 = V615809 + 1. assign V441332 = V373035. assign V365774 = V798986 - 1. assign V969912 = V338305 - 1. assign V140663 = V561305 - 1. assign V116064 = V581716 + 1. assign V230588 = V742448 - 1. assign V480009 = V499043 + 1. assign V434664 = V118073 + 1. assign V739394 = V338305. assign V978924 = V739394 - 1. assign V641546 = V615809. assign V358269 = V457585. assign V115014 = V502287 - 1. assign V714828 = V422255 - 1. assign V186128 = V260630. assign V890352 = V344543 - 1. assign V675533 = V480009 - 1. assign V671431 = V115014 + 1. assign V086602 = V499043. assign V585194 = V581716. assign V652970 = V215043 - 1. assign V959683 = V062594 - 1. assign V062594 = V726438. assign V636797 = V843920 - 1. assign V780532 = V367670 - 1. assign V771271 = V816052 + 1. assign V962222 = V115289 + 1. assign V083386 = V671431 + 1. assign V610011 = V798986 - 1. assign V728573 = V241709. assign V885632 = V569652. assign V840130 = V716234 + 1. assign V562508 = V856694. assign V543108 = V657119. assign V115231 = V383870 + 1. assign V239092 = V962222. assign V716234 = V221163 - 1. assign V173669 = V130822 - 1. assign V973524 = V726438 + 1. assign V377312 = V441332 + 1. assign V377009 = V441332. assign V822399 = V373035 - 1. assign V956735 = V229085 - 1. assign V908841 = V441332 + 1. assign V457585 = V728529 + 1. assign V856694 = V615809. assign V512444 = V938312 + 1. assign V499043 = V118073 + 1. assign V451311 = V229085 - 1. assign V728529 = V234272 - 1. assign V715997 = V908841 + 1. assign V906342 = V885632 + 1. assign V029542 = V053679 + 1. assign V222942 = V425565 - 1. assign V067648 = V885632. assign V262093 = V976638 + 1. assign V760870 = V512194. assign V581716 = V229085 + 1. assign V367670 = 7. assign V951099 = V569652 - 1. assign V508695 = V726438. assign V781119 = V966056. assign V425565 = V245374. assign V720535 = V383870. assign V283091 = V441332. assign V701906 = V585194 - 1. assign V816052 = V441332. assign V553784 = V760870. assign V460053 = V373035 - 1. assign V976638 = V283091. assign V275906 = V487038 + 1. assign V765589 = V221422. assign V151669 = V087077. assign V383870 = V087077 + 1. assign V130822 = V377009 - 1. assign V283310 = V116064. assign V918421 = V229085 - 1. assign V368031 = V951099. assign V170667 = V373035 - 1. assign V889628 = V487038 + 1. assign V191366 = V087077 - 1. assign V953462 = V260630 - 1. assign V087077 = V581716 - 1. assign V347102 = V245374. assign V344543 = V360300. assign V569652 = V373035. assign V409238 = V130822 + 1. assign V636407 = V969912 - 1. assign V221163 = V191366. assign V874250 = V283091. assign V317600 = V471189 + 1. assign V115289 = V441332 - 1. assign V243211 = V675533 + 1. assign V896689 = V220506 + 1. assign V053679 = V480009. assign V221422 = V924131 - 1. assign V347787 = V360300 + 1. assign V094714 = V581716 + 1. assign V966056 = V221422 - 1. assign V225124 = V716186 + 1. assign V878509 = V569652. assign V615809 = V220506 + 1. assign V104752 = V062594. assign V567507 = V878509. assign V716186 = V220506 - 1. assign V245374 = V229085. assign V896626 = V460053 - 1. assign V260630 = V062594 + 1. assign V341988 = V338305 - 1. assign V512194 = V885632 - 1. assign V035572 = V816052 - 1. assign V502919 = V893853 - 1. assign V906029 = V657119 - 1. assign V502287 = V726438 - 1. assign V561305 = V896689 - 1. assign V360300 = V798986. assign V906829 = V449975 + 1. assign V338305 = V716186 - 1. assign V419133 = V338305 + 1. assign V742448 = V569652. assign V082146 = V108200 - 1. assign V241709 = V908841 + 1. assign V927575 = V569652 - 1. assign V227061 = V383870. assign V939553 = V543108. assign V625396 = V615809 + 1. assign V425191 = V885632 - 1. assign V733113 = V906342 - 1. assign V422255 = V675533 - 1. assign V118911 = V118073 - 1. assign V234272 = V765589 + 1. assign V277521 = V283310 + 1. assign V487038 = V425191 - 1. assign V813516 = V641546. assign V366188 = V726438 + 1. assign V227253 = V856694 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V116584 = V215043 + 1. assign V726438 = V441332 + 1. assign V131561 = V377009. assign V271703 = V817847 - 1. assign V449975 = V701906. assign V803587 = V260630 - 1. assign V307493 = V569652. assign V817847 = V449975 + 1. assign V802701 = V409238. assign V471189 = V908841. assign V534998 = V409238. assign V229085 = V726438 - 1. assign V306686 = V276008. assign V924131 = V441332 - 1. assign V220506 = V924131 + 1. assign V798986 = V441332 + 1. assign V215043 = V569652 + 1. assign V418922 = V373035. assign V657119 = V373035 - 1. assign V849791 = V344543 + 1. assign V625386 = V615809 - 1. assign V876798 = V419133 + 1. assign V637500 = V191366. assign V276008 = V104752 + 1. assign V893853 = V116584. assign V538787 = V906342. assign V494248 = V347102 + 1. assign V938312 = V116064 + 1. assign V719404 = V499043 - 1. assign V843920 = V976638 + 1. assign V118073 = V569652. assign V108200 = V239092. assign V972983 = V460053. assign V919213 = V365774 + 1. assign V648286 = V229085 + 1. assign V373416 = V615809 + 1. assign V441332 = V373035. assign V365774 = V798986 - 1. assign V969912 = V338305 - 1. assign V140663 = V561305 - 1. assign V116064 = V581716 + 1. assign V230588 = V742448 - 1. assign V480009 = V499043 + 1. assign V434664 = V118073 + 1. assign V739394 = V338305. assign V978924 = V739394 - 1. assign V641546 = V615809. assign V358269 = V457585. assign V115014 = V502287 - 1. assign V714828 = V422255 - 1. assign V186128 = V260630. assign V890352 = V344543 - 1. assign V675533 = V480009 - 1. assign V671431 = V115014 + 1. assign V086602 = V499043. assign V585194 = V581716. assign V652970 = V215043 - 1. assign V959683 = V062594 - 1. assign V062594 = V726438. assign V636797 = V843920 - 1. assign V780532 = V367670 - 1. assign V771271 = V816052 + 1. assign V962222 = V115289 + 1. assign V083386 = V671431 + 1. assign V610011 = V798986 - 1. assign V728573 = V241709. assign V885632 = V569652. assign V840130 = V716234 + 1. assign V562508 = V856694. assign V543108 = V657119. assign V115231 = V383870 + 1. assign V239092 = V962222. assign V716234 = V221163 - 1. assign V173669 = V130822 - 1. assign V973524 = V726438 + 1. assign V377312 = V441332 + 1. assign V377009 = V441332. assign V822399 = V373035 - 1. assign V956735 = V229085 - 1. assign V908841 = V441332 + 1. assign V457585 = V728529 + 1. assign V856694 = V615809. assign V512444 = V938312 + 1. assign V499043 = V118073 + 1. assign V451311 = V229085 - 1. assign V728529 = V234272 - 1. assign V715997 = V908841 + 1. assign V906342 = V885632 + 1. assign V029542 = V053679 + 1. assign V222942 = V425565 - 1. assign V067648 = V885632. assign V262093 = V976638 + 1. assign V760870 = V512194. assign V581716 = V229085 + 1. assign V367670 = 7. assign V951099 = V569652 - 1. assign V508695 = V726438. assign V781119 = V966056. assign V425565 = V245374. assign V720535 = V383870. assign V283091 = V441332. assign V701906 = V585194 - 1. assign V816052 = V441332. assign V553784 = V760870. assign V460053 = V373035 - 1. assign V976638 = V283091. assign V275906 = V487038 + 1. assign V765589 = V221422. assign V151669 = V087077. assign V383870 = V087077 + 1. assign V130822 = V377009 - 1. assign V283310 = V116064. assign V918421 = V229085 - 1. assign V368031 = V951099. assign V170667 = V373035 - 1. assign V889628 = V487038 + 1. assign V191366 = V087077 - 1. assign V953462 = V260630 - 1. assign V087077 = V581716 - 1. assign V347102 = V245374. assign V344543 = V360300. assign V569652 = V373035. assign V409238 = V130822 + 1. assign V636407 = V969912 - 1. assign V221163 = V191366. assign V874250 = V283091. assign V317600 = V471189 + 1. assign V115289 = V441332 - 1. assign V243211 = V675533 + 1. assign V896689 = V220506 + 1. assign V053679 = V480009. assign V221422 = V924131 - 1. assign V347787 = V360300 + 1. assign V094714 = V581716 + 1. assign V966056 = V221422 - 1. assign V225124 = V716186 + 1. assign V878509 = V569652. assign V615809 = V220506 + 1. assign V104752 = V062594. assign V567507 = V878509. assign V716186 = V220506 - 1. assign V245374 = V229085. assign V896626 = V460053 - 1. assign V260630 = V062594 + 1. assign V341988 = V338305 - 1. assign V512194 = V885632 - 1. assign V035572 = V816052 - 1. assign V502919 = V893853 - 1. assign V906029 = V657119 - 1. assign V502287 = V726438 - 1. assign V561305 = V896689 - 1. assign V360300 = V798986. assign V906829 = V449975 + 1. assign V338305 = V716186 - 1. assign V419133 = V338305 + 1. assign V742448 = V569652. assign V082146 = V108200 - 1. assign V241709 = V908841 + 1. assign V927575 = V569652 - 1. assign V227061 = V383870. assign V939553 = V543108. assign V625396 = V615809 + 1. assign V425191 = V885632 - 1. assign V733113 = V906342 - 1. assign V422255 = V675533 - 1. assign V118911 = V118073 - 1. assign V234272 = V765589 + 1. assign V277521 = V283310 + 1. assign V487038 = V425191 - 1. assign V813516 = V641546. assign V366188 = V726438 + 1. assign V227253 = V856694 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV367670 = 7;\n\nFrom these direct assignment(s), we have: \nV780532 = V367670 - 1 = 7 - 1 =6;\nNo other variables can be derived from V780532;\nNo other variables can be derived from V367670;\n\nNow we have done all the calculations. Derived variables are:\nV367670 = 7;\nV780532 = 6;\n\nNow we have finished this problem. ANSWER:\nV367670\n", "role": "assistant" } ]

[ "V790208", "V742194" ]

[ { "content": "<context>\nassign V525679 = V333583 + 1. assign V532035 = V414161. assign V249370 = V596238 + 1. assign V089024 = V007804 - 1. assign V575294 = V018989. assign V170309 = V796229 + 1. assign V085170 = V410208 + 1. assign V332431 = V896045 - 1. assign V619112 = V259982. assign V049373 = V007746 + 1. assign V093985 = V831106. assign V601397 = V514679 + 1. assign V962597 = V170555 - 1. assign V455379 = V839989. assign V221955 = V269527. assign V611421 = V545081. assign V527149 = V349583. assign V875518 = V472403 + 1. assign V151669 = V579076 - 1. assign V905535 = V798347 + 1. assign V798779 = V414161 + 1. assign V840318 = V975257 - 1. assign V202325 = V489035. assign V100094 = V796229 - 1. assign V299134 = V691481 - 1. assign V349583 = V100094. assign V222075 = V800689. assign V118321 = V773242 - 1. assign V790208 = 4. assign V534655 = V476934 - 1. assign V604245 = V170555 - 1. assign V157757 = V493164 + 1. assign V090426 = V596238 + 1. assign V545081 = V796229 + 1. assign V041440 = V045322 + 1. assign V476934 = V604245. assign V800689 = V881082 - 1. assign V390489 = V174822 - 1. assign V446421 = V221955 - 1. assign V810738 = V619112 - 1. assign V482132 = V502272 - 1. assign V915355 = V747468 - 1. assign V273981 = V227190. assign V881082 = V100094. assign V411381 = V140282 + 1. assign V130772 = V691481 + 1. assign V579294 = V479977 - 1. assign V610998 = V155897. assign V592280 = V301598 + 1. assign V788792 = V810738 + 1. assign V472538 = V286862 - 1. assign V747468 = V800689 - 1. assign V958747 = V333583 + 1. assign V072092 = V604245. assign V579076 = V479977 - 1. assign V800926 = V975257 + 1. assign V115071 = V259982. assign V651889 = V188949 - 1. assign V170555 = V140282 + 1. assign V488853 = V485790 + 1. assign V595223 = V796229 + 1. assign V694115 = V116272 + 1. assign V742194 = V790208. assign V093439 = V800689 - 1. assign V293106 = V962597. assign V381024 = V426676 + 1. assign V796229 = V170555 + 1. assign V655830 = V611421. assign V078135 = V485790. assign V397517 = V116272 - 1. assign V463723 = V381024 - 1. assign V329458 = V188949 - 1. assign V519492 = V488499 - 1. assign V273709 = V563746 + 1. assign V676981 = V269527. assign V266754 = V240022. assign V872416 = V273709. assign V825729 = V691481 - 1. assign V174822 = V596238 - 1. assign V379200 = V962597. assign V735808 = V896045. assign V344562 = V625572. assign V746007 = V604245 + 1. assign V896045 = V796229 - 1. assign V935658 = V796229. assign V697440 = V100094 + 1. assign V472403 = V481725. assign V479977 = V089024 - 1. assign V130447 = V798779 + 1. assign V506487 = V157757 + 1. assign V714636 = V604245. assign V259982 = V426676. assign V831106 = V100094 - 1. assign V045322 = V896045. assign V489035 = V299134 + 1. assign V514679 = V286862 + 1. assign V007804 = V604245. assign V411058 = V140282. assign V550352 = V655830. assign V071785 = V896045 + 1. assign V007746 = V054852 - 1. assign V301598 = V887410 + 1. assign V916653 = V488499 + 1. assign V493164 = V796229. assign V887410 = V054852 + 1. assign V578101 = V472403 - 1. assign V414161 = V157757 + 1. assign V046993 = V166892 - 1. assign V341910 = V286862. assign V481725 = V825729 - 1. assign V456012 = V349583. assign V054852 = V796229 + 1. assign V997509 = V502272 + 1. assign V596238 = V502272. assign V227190 = V935658 - 1. assign V323635 = V472538 + 1. assign V488499 = V527149 + 1. assign V188949 = V493164. assign V269527 = V691481 + 1. assign V975257 = V913560 + 1. assign V009934 = V746007 - 1. assign V706247 = V476934 + 1. assign V018989 = V170555. assign V155897 = V332431 + 1. assign V563746 = V155897 + 1. assign V839989 = V349583. assign V718189 = V746007 + 1. assign V893584 = V269527. assign V339420 = V472403. assign V240022 = V694115 - 1. assign V599886 = V868928 - 1. assign V306690 = V488499 + 1. assign V194110 = V269527 + 1. assign V116272 = V071785. assign V825642 = V273981 - 1. assign V383449 = V697440. assign V196499 = V481725 + 1. assign V502272 = V831106 - 1. assign V917877 = V579076. assign V641724 = V155897 - 1. assign V166892 = V155897. assign V556733 = V962597 + 1. assign V798347 = V093439 - 1. assign V685875 = V130447. assign V548230 = V266754 + 1. assign V868928 = V485790. assign V577957 = V174822. assign V625572 = V810738 + 1. assign V045522 = V140282. assign V255786 = V041440 - 1. assign V333583 = V493164. assign V160583 = V476934. assign V874528 = V691481. assign V802429 = V796229. assign V773242 = V913560. assign V426676 = V476934 + 1. assign V594754 = V482132. assign V913560 = V323635. assign V123475 = V493164. assign V615334 = V519492 + 1. assign V143757 = V800689. assign V860832 = V489035 - 1. assign V489326 = V045322. assign V951473 = V130772 + 1. assign V660933 = V896045 + 1. assign V485790 = V379200. assign V691481 = V293106 + 1. assign V019991 = V534655 - 1. assign V544588 = V046993. assign V185096 = V611421 - 1. assign V410208 = V881082. assign V286862 = V293106.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V525679 = V333583 + 1. assign V532035 = V414161. assign V249370 = V596238 + 1. assign V089024 = V007804 - 1. assign V575294 = V018989. assign V170309 = V796229 + 1. assign V085170 = V410208 + 1. assign V332431 = V896045 - 1. assign V619112 = V259982. assign V049373 = V007746 + 1. assign V093985 = V831106. assign V601397 = V514679 + 1. assign V962597 = V170555 - 1. assign V455379 = V839989. assign V221955 = V269527. assign V611421 = V545081. assign V527149 = V349583. assign V875518 = V472403 + 1. assign V151669 = V579076 - 1. assign V905535 = V798347 + 1. assign V798779 = V414161 + 1. assign V840318 = V975257 - 1. assign V202325 = V489035. assign V100094 = V796229 - 1. assign V299134 = V691481 - 1. assign V349583 = V100094. assign V222075 = V800689. assign V118321 = V773242 - 1. assign V790208 = 4. assign V534655 = V476934 - 1. assign V604245 = V170555 - 1. assign V157757 = V493164 + 1. assign V090426 = V596238 + 1. assign V545081 = V796229 + 1. assign V041440 = V045322 + 1. assign V476934 = V604245. assign V800689 = V881082 - 1. assign V390489 = V174822 - 1. assign V446421 = V221955 - 1. assign V810738 = V619112 - 1. assign V482132 = V502272 - 1. assign V915355 = V747468 - 1. assign V273981 = V227190. assign V881082 = V100094. assign V411381 = V140282 + 1. assign V130772 = V691481 + 1. assign V579294 = V479977 - 1. assign V610998 = V155897. assign V592280 = V301598 + 1. assign V788792 = V810738 + 1. assign V472538 = V286862 - 1. assign V747468 = V800689 - 1. assign V958747 = V333583 + 1. assign V072092 = V604245. assign V579076 = V479977 - 1. assign V800926 = V975257 + 1. assign V115071 = V259982. assign V651889 = V188949 - 1. assign V170555 = V140282 + 1. assign V488853 = V485790 + 1. assign V595223 = V796229 + 1. assign V694115 = V116272 + 1. assign V742194 = V790208. assign V093439 = V800689 - 1. assign V293106 = V962597. assign V381024 = V426676 + 1. assign V796229 = V170555 + 1. assign V655830 = V611421. assign V078135 = V485790. assign V397517 = V116272 - 1. assign V463723 = V381024 - 1. assign V329458 = V188949 - 1. assign V519492 = V488499 - 1. assign V273709 = V563746 + 1. assign V676981 = V269527. assign V266754 = V240022. assign V872416 = V273709. assign V825729 = V691481 - 1. assign V174822 = V596238 - 1. assign V379200 = V962597. assign V735808 = V896045. assign V344562 = V625572. assign V746007 = V604245 + 1. assign V896045 = V796229 - 1. assign V935658 = V796229. assign V697440 = V100094 + 1. assign V472403 = V481725. assign V479977 = V089024 - 1. assign V130447 = V798779 + 1. assign V506487 = V157757 + 1. assign V714636 = V604245. assign V259982 = V426676. assign V831106 = V100094 - 1. assign V045322 = V896045. assign V489035 = V299134 + 1. assign V514679 = V286862 + 1. assign V007804 = V604245. assign V411058 = V140282. assign V550352 = V655830. assign V071785 = V896045 + 1. assign V007746 = V054852 - 1. assign V301598 = V887410 + 1. assign V916653 = V488499 + 1. assign V493164 = V796229. assign V887410 = V054852 + 1. assign V578101 = V472403 - 1. assign V414161 = V157757 + 1. assign V046993 = V166892 - 1. assign V341910 = V286862. assign V481725 = V825729 - 1. assign V456012 = V349583. assign V054852 = V796229 + 1. assign V997509 = V502272 + 1. assign V596238 = V502272. assign V227190 = V935658 - 1. assign V323635 = V472538 + 1. assign V488499 = V527149 + 1. assign V188949 = V493164. assign V269527 = V691481 + 1. assign V975257 = V913560 + 1. assign V009934 = V746007 - 1. assign V706247 = V476934 + 1. assign V018989 = V170555. assign V155897 = V332431 + 1. assign V563746 = V155897 + 1. assign V839989 = V349583. assign V718189 = V746007 + 1. assign V893584 = V269527. assign V339420 = V472403. assign V240022 = V694115 - 1. assign V599886 = V868928 - 1. assign V306690 = V488499 + 1. assign V194110 = V269527 + 1. assign V116272 = V071785. assign V825642 = V273981 - 1. assign V383449 = V697440. assign V196499 = V481725 + 1. assign V502272 = V831106 - 1. assign V917877 = V579076. assign V641724 = V155897 - 1. assign V166892 = V155897. assign V556733 = V962597 + 1. assign V798347 = V093439 - 1. assign V685875 = V130447. assign V548230 = V266754 + 1. assign V868928 = V485790. assign V577957 = V174822. assign V625572 = V810738 + 1. assign V045522 = V140282. assign V255786 = V041440 - 1. assign V333583 = V493164. assign V160583 = V476934. assign V874528 = V691481. assign V802429 = V796229. assign V773242 = V913560. assign V426676 = V476934 + 1. assign V594754 = V482132. assign V913560 = V323635. assign V123475 = V493164. assign V615334 = V519492 + 1. assign V143757 = V800689. assign V860832 = V489035 - 1. assign V489326 = V045322. assign V951473 = V130772 + 1. assign V660933 = V896045 + 1. assign V485790 = V379200. assign V691481 = V293106 + 1. assign V019991 = V534655 - 1. assign V544588 = V046993. assign V185096 = V611421 - 1. assign V410208 = V881082. assign V286862 = V293106.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV790208 = 4;\n\nFrom these direct assignment(s), we have: \nV742194 = V790208 = 4;\nNo other variables can be derived from V742194;\nNo other variables can be derived from V790208;\n\nNow we have done all the calculations. Derived variables are:\nV790208 = 4;\nV742194 = 4;\n\nNow we have finished this problem. ANSWER:\nV790208, V742194\n", "role": "assistant" } ]

[ "V191120" ]

[ { "content": "<context>\nassign V704054 = V837718. assign V866901 = V269209 - 1. assign V177578 = V854217 - 1. assign V495902 = V202274 + 1. assign V784640 = V210093 - 1. assign V160550 = V863319. assign V888497 = V290911. assign V393821 = V962189. assign V301394 = V649844 + 1. assign V556515 = V792737 - 1. assign V433846 = V018935. assign V416262 = V449683 - 1. assign V515887 = V796547. assign V651784 = V092210 - 1. assign V742240 = V248099. assign V610245 = V252300. assign V256163 = V248099. assign V418521 = V556515. assign V693838 = V000426 + 1. assign V481904 = V757550 - 1. assign V608234 = V781397. assign V864599 = V210093 + 1. assign V174530 = V334076 + 1. assign V500654 = V389828 + 1. assign V839215 = V740920 + 1. assign V809263 = V008678 + 1. assign V379997 = V256163 - 1. assign V605296 = V610245 - 1. assign V362298 = V389828 + 1. assign V315477 = V092279 - 1. assign V202274 = V000426. assign V658598 = V558236. assign V191120 = 8. assign V288248 = V252300 + 1. assign V743701 = V731600 + 1. assign V740920 = V279065 + 1. assign V951276 = V399452. assign V953879 = V238432. assign V731600 = V188679. assign V279065 = V575497. assign V562233 = V649162 + 1. assign V999348 = V221961 + 1. assign V276760 = V290911 - 1. assign V430301 = V433846. assign V225139 = V068136 + 1. assign V183661 = V185070 + 1. assign V210093 = V105017. assign V031199 = V520608. assign V028695 = V558236 + 1. assign V649162 = V999348. assign V702797 = V379997. assign V914409 = V901110. assign V449683 = V210093 + 1. assign V669535 = V430301. assign V188679 = V828044. assign V137558 = V792737 - 1. assign V119933 = V620167 + 1. assign V496479 = V257532. assign V515629 = V575497. assign V575497 = V278684 - 1. assign V278684 = V901110 + 1. assign V699641 = V145557 - 1. assign V074349 = V811918 - 1. assign V508112 = V962189. assign V008678 = V759363. assign V919058 = V649162. assign V961247 = V278684. assign V962189 = V792737 + 1. assign V467856 = V655645. assign V710572 = V901110 - 1. assign V138594 = V188679. assign V497194 = V863319 - 1. assign V653864 = V771856. assign V655645 = V269209. assign V901110 = V105017 - 1. assign V974646 = V515629. assign V811918 = V433846 + 1. assign V481656 = V796547 - 1. assign V368326 = V947521 - 1. assign V443552 = V562233 + 1. assign V620167 = V256163 - 1. assign V092210 = V497194. assign V290911 = V221961 - 1. assign V966564 = V901110 + 1. assign V002221 = V100342. assign V145557 = V497194 - 1. assign V098954 = V433846 + 1. assign V511902 = V828044 + 1. assign V581456 = V031199 - 1. assign V677134 = V606891 + 1. assign V845166 = V288248. assign V759363 = V202274. assign V458783 = V646487 - 1. assign V389828 = V727216. assign V172055 = V138594 - 1. assign V111634 = V276760 - 1. assign V738046 = V193907. assign V736773 = V449683 + 1. assign V944144 = V210093. assign V677235 = V864407 + 1. assign V092250 = V606891. assign V550503 = V111634 - 1. assign V166447 = V866901. assign V138387 = V190641. assign V193907 = V389828 + 1. assign V771856 = V031199 + 1. assign V405041 = V972072 + 1. assign V952763 = V550503 - 1. assign V792737 = V278684 + 1. assign V828044 = V606891 + 1. assign V520608 = V278684 - 1. assign V334076 = V465764 - 1. assign V842103 = V974646. assign V092279 = V901110. assign V781397 = V423120 + 1. assign V432413 = V111634. assign V606491 = V279065. assign V000426 = V520608. assign V558236 = V575497 + 1. assign V740004 = V500654 + 1. assign V461870 = V399452. assign V238432 = V495902 + 1. assign V100342 = V279065. assign V908619 = V864599. assign V726981 = V864407. assign V423120 = V416262. assign V292521 = V465764. assign V190641 = V269209 + 1. assign V689970 = V137558. assign V854217 = V334076. assign V629953 = V105017. assign V399452 = V098954 + 1. assign V837718 = V743701 - 1. assign V093439 = V655645 + 1. assign V196375 = V031199. assign V525512 = V210093 + 1. assign V118044 = V092279. assign V328739 = V796547 - 1. assign V105017 = V290911 - 1. assign V863319 = V649844 + 1. assign V037225 = V497194 + 1. assign V214244 = V864407 - 1. assign V470495 = V495902 + 1. assign V727216 = V092279 + 1. assign V465764 = V792737 + 1. assign V972072 = V508112 - 1. assign V080951 = V854217 - 1. assign V313935 = V864407 + 1. assign V796547 = V515629 + 1. assign V248099 = V276760 + 1. assign V356646 = V290911. assign V864407 = V290911 + 1. assign V606891 = V290911. assign V947521 = V495902 - 1. assign V257532 = V757550 - 1. assign V018935 = V279065 + 1. assign V443133 = V759363 + 1. assign V038129 = V191120 - 1. assign V084841 = V313935 - 1. assign V252300 = V290911. assign V068136 = V196375 + 1. assign V658719 = V068136 + 1. assign V185070 = V202274 - 1. assign V094445 = V423120 + 1. assign V649844 = V221961 - 1. assign V646487 = V210093 + 1. assign V906627 = V508112 + 1. assign V269209 = V508112 - 1. assign V099334 = V138387 + 1. assign V615466 = V901110. assign V811377 = V105017 + 1. assign V757550 = V710572 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V704054 = V837718. assign V866901 = V269209 - 1. assign V177578 = V854217 - 1. assign V495902 = V202274 + 1. assign V784640 = V210093 - 1. assign V160550 = V863319. assign V888497 = V290911. assign V393821 = V962189. assign V301394 = V649844 + 1. assign V556515 = V792737 - 1. assign V433846 = V018935. assign V416262 = V449683 - 1. assign V515887 = V796547. assign V651784 = V092210 - 1. assign V742240 = V248099. assign V610245 = V252300. assign V256163 = V248099. assign V418521 = V556515. assign V693838 = V000426 + 1. assign V481904 = V757550 - 1. assign V608234 = V781397. assign V864599 = V210093 + 1. assign V174530 = V334076 + 1. assign V500654 = V389828 + 1. assign V839215 = V740920 + 1. assign V809263 = V008678 + 1. assign V379997 = V256163 - 1. assign V605296 = V610245 - 1. assign V362298 = V389828 + 1. assign V315477 = V092279 - 1. assign V202274 = V000426. assign V658598 = V558236. assign V191120 = 8. assign V288248 = V252300 + 1. assign V743701 = V731600 + 1. assign V740920 = V279065 + 1. assign V951276 = V399452. assign V953879 = V238432. assign V731600 = V188679. assign V279065 = V575497. assign V562233 = V649162 + 1. assign V999348 = V221961 + 1. assign V276760 = V290911 - 1. assign V430301 = V433846. assign V225139 = V068136 + 1. assign V183661 = V185070 + 1. assign V210093 = V105017. assign V031199 = V520608. assign V028695 = V558236 + 1. assign V649162 = V999348. assign V702797 = V379997. assign V914409 = V901110. assign V449683 = V210093 + 1. assign V669535 = V430301. assign V188679 = V828044. assign V137558 = V792737 - 1. assign V119933 = V620167 + 1. assign V496479 = V257532. assign V515629 = V575497. assign V575497 = V278684 - 1. assign V278684 = V901110 + 1. assign V699641 = V145557 - 1. assign V074349 = V811918 - 1. assign V508112 = V962189. assign V008678 = V759363. assign V919058 = V649162. assign V961247 = V278684. assign V962189 = V792737 + 1. assign V467856 = V655645. assign V710572 = V901110 - 1. assign V138594 = V188679. assign V497194 = V863319 - 1. assign V653864 = V771856. assign V655645 = V269209. assign V901110 = V105017 - 1. assign V974646 = V515629. assign V811918 = V433846 + 1. assign V481656 = V796547 - 1. assign V368326 = V947521 - 1. assign V443552 = V562233 + 1. assign V620167 = V256163 - 1. assign V092210 = V497194. assign V290911 = V221961 - 1. assign V966564 = V901110 + 1. assign V002221 = V100342. assign V145557 = V497194 - 1. assign V098954 = V433846 + 1. assign V511902 = V828044 + 1. assign V581456 = V031199 - 1. assign V677134 = V606891 + 1. assign V845166 = V288248. assign V759363 = V202274. assign V458783 = V646487 - 1. assign V389828 = V727216. assign V172055 = V138594 - 1. assign V111634 = V276760 - 1. assign V738046 = V193907. assign V736773 = V449683 + 1. assign V944144 = V210093. assign V677235 = V864407 + 1. assign V092250 = V606891. assign V550503 = V111634 - 1. assign V166447 = V866901. assign V138387 = V190641. assign V193907 = V389828 + 1. assign V771856 = V031199 + 1. assign V405041 = V972072 + 1. assign V952763 = V550503 - 1. assign V792737 = V278684 + 1. assign V828044 = V606891 + 1. assign V520608 = V278684 - 1. assign V334076 = V465764 - 1. assign V842103 = V974646. assign V092279 = V901110. assign V781397 = V423120 + 1. assign V432413 = V111634. assign V606491 = V279065. assign V000426 = V520608. assign V558236 = V575497 + 1. assign V740004 = V500654 + 1. assign V461870 = V399452. assign V238432 = V495902 + 1. assign V100342 = V279065. assign V908619 = V864599. assign V726981 = V864407. assign V423120 = V416262. assign V292521 = V465764. assign V190641 = V269209 + 1. assign V689970 = V137558. assign V854217 = V334076. assign V629953 = V105017. assign V399452 = V098954 + 1. assign V837718 = V743701 - 1. assign V093439 = V655645 + 1. assign V196375 = V031199. assign V525512 = V210093 + 1. assign V118044 = V092279. assign V328739 = V796547 - 1. assign V105017 = V290911 - 1. assign V863319 = V649844 + 1. assign V037225 = V497194 + 1. assign V214244 = V864407 - 1. assign V470495 = V495902 + 1. assign V727216 = V092279 + 1. assign V465764 = V792737 + 1. assign V972072 = V508112 - 1. assign V080951 = V854217 - 1. assign V313935 = V864407 + 1. assign V796547 = V515629 + 1. assign V248099 = V276760 + 1. assign V356646 = V290911. assign V864407 = V290911 + 1. assign V606891 = V290911. assign V947521 = V495902 - 1. assign V257532 = V757550 - 1. assign V018935 = V279065 + 1. assign V443133 = V759363 + 1. assign V038129 = V191120 - 1. assign V084841 = V313935 - 1. assign V252300 = V290911. assign V068136 = V196375 + 1. assign V658719 = V068136 + 1. assign V185070 = V202274 - 1. assign V094445 = V423120 + 1. assign V649844 = V221961 - 1. assign V646487 = V210093 + 1. assign V906627 = V508112 + 1. assign V269209 = V508112 - 1. assign V099334 = V138387 + 1. assign V615466 = V901110. assign V811377 = V105017 + 1. assign V757550 = V710572 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV191120 = 8;\n\nFrom these direct assignment(s), we have: \nV038129 = V191120 - 1 = 8 - 1 =7;\nNo other variables can be derived from V038129;\nNo other variables can be derived from V191120;\n\nNow we have done all the calculations. Derived variables are:\nV191120 = 8;\nV038129 = 7;\n\nNow we have finished this problem. ANSWER:\nV191120\n", "role": "assistant" } ]

[ "V118861" ]

[ { "content": "<context>\nassign V388253 = V198149 + 1. assign V078466 = V198149 - 1. assign V527210 = V292595 + 1. assign V419335 = V309535. assign V914919 = V595430 + 1. assign V794363 = V755748 + 1. assign V267521 = V041818. assign V570661 = V292595. assign V793251 = V631837. assign V864279 = V225865 + 1. assign V338133 = V358519 - 1. assign V154999 = V308376 - 1. assign V236340 = V994366 + 1. assign V655708 = V570661 + 1. assign V509557 = V309535 - 1. assign V213722 = V527210. assign V097772 = V703481 - 1. assign V935521 = V350547. assign V050257 = V416698. assign V368663 = V966439 + 1. assign V063073 = V713012 + 1. assign V041818 = V488270. assign V667458 = V966439. assign V173632 = V809903. assign V612612 = V723104 + 1. assign V985836 = V411125 - 1. assign V867585 = V509618. assign V053668 = V225865 + 1. assign V471404 = V127744 - 1. assign V660789 = V388253. assign V758444 = V118678. assign V451844 = V292595. assign V481904 = V037583 + 1. assign V958893 = V118861 - 1. assign V434125 = V308376 - 1. assign V144218 = V388253 + 1. assign V312214 = V475719 - 1. assign V264722 = V794363 + 1. assign V504544 = V620830. assign V101393 = V765291 - 1. assign V729398 = V141165 + 1. assign V768934 = V824933. assign V110984 = V267969 - 1. assign V309535 = V309064 - 1. assign V938104 = V309064 - 1. assign V559152 = V192988 + 1. assign V118678 = V310107 + 1. assign V223432 = V481904 + 1. assign V218528 = V488270 + 1. assign V681218 = V113514 + 1. assign V340231 = V994366 + 1. assign V631837 = V308376 + 1. assign V586300 = V580762 - 1. assign V298041 = V725049 - 1. assign V127744 = V748537 + 1. assign V713012 = V521259. assign V620830 = V629598. assign V954404 = V524281 - 1. assign V220700 = V308376. assign V966439 = V309064 + 1. assign V629598 = V388253 + 1. assign V350547 = V595430. assign V755748 = V991162 + 1. assign V923633 = V667827. assign V983366 = V309535 - 1. assign V933489 = V595430 - 1. assign V703481 = V509618 + 1. assign V700074 = V938104. assign V579884 = V358519 - 1. assign V411125 = V667458 - 1. assign V302219 = V629598 - 1. assign V066021 = V309064 + 1. assign V381300 = V422190 - 1. assign V397731 = V419335. assign V397380 = V631837. assign V256456 = V220700 + 1. assign V346562 = V942865. assign V080356 = V935521 + 1. assign V212510 = V267969 + 1. assign V632183 = V475719 - 1. assign V113514 = V078466. assign V942865 = V723104 - 1. assign V595430 = V631940 + 1. assign V929263 = V667458 + 1. assign V597141 = V631940 - 1. assign V046675 = V252690 + 1. assign V477567 = V631940. assign V211064 = V914919 + 1. assign V488270 = V066021. assign V416698 = V078466. assign V801359 = V597141. assign V422190 = V113514. assign V809903 = V292595 - 1. assign V870177 = V144218 + 1. assign V428502 = V309535 + 1. assign V295838 = V595430 - 1. assign V309064 = V340231 + 1. assign V880479 = V066021 + 1. assign V636374 = V667827 + 1. assign V358519 = V612612 + 1. assign V725049 = V053849. assign V267969 = V509618 - 1. assign V466648 = V264722. assign V554497 = V801359 - 1. assign V578381 = V631940 + 1. assign V081665 = V667458. assign V710297 = V570661 + 1. assign V398168 = V933489 - 1. assign V224578 = V758444 + 1. assign V417123 = V579884 - 1. assign V609616 = V578381 - 1. assign V693984 = V358519. assign V492324 = V595430 + 1. assign V580762 = V302219 + 1. assign V564141 = V388253 - 1. assign V524281 = V595430 + 1. assign V667827 = V597141. assign V053849 = V632183. assign V023437 = V358519. assign V998802 = V636374 - 1. assign V609544 = V053668 + 1. assign V242992 = V198149 - 1. assign V310107 = V966439. assign V372552 = V631837 + 1. assign V679900 = V782859. assign V994366 = V631940 - 1. assign V958405 = V710297 - 1. assign V759009 = V597141. assign V991162 = V994366. assign V748537 = V942865 - 1. assign V374111 = V801359. assign V765291 = V914919 - 1. assign V037583 = V053668 - 1. assign V207697 = V738715 + 1. assign V647452 = V052770 + 1. assign V982395 = V620830 - 1. assign V984669 = V612612. assign V364080 = V207697. assign V992115 = V782859 + 1. assign V118861 = 6. assign V141165 = V966439 + 1. assign V308376 = V477567. assign V052770 = V358519. assign V292571 = V631940 + 1. assign V292595 = V597141. assign V782859 = V037583 - 1. assign V795631 = V225865 - 1. assign V646331 = V527210. assign V723104 = V595430 - 1. assign V225865 = V477567 - 1. assign V695083 = V399965. assign V252690 = V646331 + 1. assign V571489 = V078466 + 1. assign V399965 = V078466 + 1. assign V061533 = V101393 + 1. assign V521259 = V809903 + 1. assign V978892 = V725049 - 1. assign V824933 = V620830 + 1. assign V475719 = V509618 + 1. assign V921982 = V144218. assign V842101 = V192988. assign V294000 = V207697 - 1. assign V013536 = V933489 - 1. assign V846325 = V078466. assign V777714 = V527210. assign V549082 = V994366. assign V192988 = V225865 - 1. assign V509618 = V597141 + 1. assign V200202 = V867585 + 1. assign V198149 = V631940. assign V738715 = V723104 - 1. assign V060476 = V218528 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V388253 = V198149 + 1. assign V078466 = V198149 - 1. assign V527210 = V292595 + 1. assign V419335 = V309535. assign V914919 = V595430 + 1. assign V794363 = V755748 + 1. assign V267521 = V041818. assign V570661 = V292595. assign V793251 = V631837. assign V864279 = V225865 + 1. assign V338133 = V358519 - 1. assign V154999 = V308376 - 1. assign V236340 = V994366 + 1. assign V655708 = V570661 + 1. assign V509557 = V309535 - 1. assign V213722 = V527210. assign V097772 = V703481 - 1. assign V935521 = V350547. assign V050257 = V416698. assign V368663 = V966439 + 1. assign V063073 = V713012 + 1. assign V041818 = V488270. assign V667458 = V966439. assign V173632 = V809903. assign V612612 = V723104 + 1. assign V985836 = V411125 - 1. assign V867585 = V509618. assign V053668 = V225865 + 1. assign V471404 = V127744 - 1. assign V660789 = V388253. assign V758444 = V118678. assign V451844 = V292595. assign V481904 = V037583 + 1. assign V958893 = V118861 - 1. assign V434125 = V308376 - 1. assign V144218 = V388253 + 1. assign V312214 = V475719 - 1. assign V264722 = V794363 + 1. assign V504544 = V620830. assign V101393 = V765291 - 1. assign V729398 = V141165 + 1. assign V768934 = V824933. assign V110984 = V267969 - 1. assign V309535 = V309064 - 1. assign V938104 = V309064 - 1. assign V559152 = V192988 + 1. assign V118678 = V310107 + 1. assign V223432 = V481904 + 1. assign V218528 = V488270 + 1. assign V681218 = V113514 + 1. assign V340231 = V994366 + 1. assign V631837 = V308376 + 1. assign V586300 = V580762 - 1. assign V298041 = V725049 - 1. assign V127744 = V748537 + 1. assign V713012 = V521259. assign V620830 = V629598. assign V954404 = V524281 - 1. assign V220700 = V308376. assign V966439 = V309064 + 1. assign V629598 = V388253 + 1. assign V350547 = V595430. assign V755748 = V991162 + 1. assign V923633 = V667827. assign V983366 = V309535 - 1. assign V933489 = V595430 - 1. assign V703481 = V509618 + 1. assign V700074 = V938104. assign V579884 = V358519 - 1. assign V411125 = V667458 - 1. assign V302219 = V629598 - 1. assign V066021 = V309064 + 1. assign V381300 = V422190 - 1. assign V397731 = V419335. assign V397380 = V631837. assign V256456 = V220700 + 1. assign V346562 = V942865. assign V080356 = V935521 + 1. assign V212510 = V267969 + 1. assign V632183 = V475719 - 1. assign V113514 = V078466. assign V942865 = V723104 - 1. assign V595430 = V631940 + 1. assign V929263 = V667458 + 1. assign V597141 = V631940 - 1. assign V046675 = V252690 + 1. assign V477567 = V631940. assign V211064 = V914919 + 1. assign V488270 = V066021. assign V416698 = V078466. assign V801359 = V597141. assign V422190 = V113514. assign V809903 = V292595 - 1. assign V870177 = V144218 + 1. assign V428502 = V309535 + 1. assign V295838 = V595430 - 1. assign V309064 = V340231 + 1. assign V880479 = V066021 + 1. assign V636374 = V667827 + 1. assign V358519 = V612612 + 1. assign V725049 = V053849. assign V267969 = V509618 - 1. assign V466648 = V264722. assign V554497 = V801359 - 1. assign V578381 = V631940 + 1. assign V081665 = V667458. assign V710297 = V570661 + 1. assign V398168 = V933489 - 1. assign V224578 = V758444 + 1. assign V417123 = V579884 - 1. assign V609616 = V578381 - 1. assign V693984 = V358519. assign V492324 = V595430 + 1. assign V580762 = V302219 + 1. assign V564141 = V388253 - 1. assign V524281 = V595430 + 1. assign V667827 = V597141. assign V053849 = V632183. assign V023437 = V358519. assign V998802 = V636374 - 1. assign V609544 = V053668 + 1. assign V242992 = V198149 - 1. assign V310107 = V966439. assign V372552 = V631837 + 1. assign V679900 = V782859. assign V994366 = V631940 - 1. assign V958405 = V710297 - 1. assign V759009 = V597141. assign V991162 = V994366. assign V748537 = V942865 - 1. assign V374111 = V801359. assign V765291 = V914919 - 1. assign V037583 = V053668 - 1. assign V207697 = V738715 + 1. assign V647452 = V052770 + 1. assign V982395 = V620830 - 1. assign V984669 = V612612. assign V364080 = V207697. assign V992115 = V782859 + 1. assign V118861 = 6. assign V141165 = V966439 + 1. assign V308376 = V477567. assign V052770 = V358519. assign V292571 = V631940 + 1. assign V292595 = V597141. assign V782859 = V037583 - 1. assign V795631 = V225865 - 1. assign V646331 = V527210. assign V723104 = V595430 - 1. assign V225865 = V477567 - 1. assign V695083 = V399965. assign V252690 = V646331 + 1. assign V571489 = V078466 + 1. assign V399965 = V078466 + 1. assign V061533 = V101393 + 1. assign V521259 = V809903 + 1. assign V978892 = V725049 - 1. assign V824933 = V620830 + 1. assign V475719 = V509618 + 1. assign V921982 = V144218. assign V842101 = V192988. assign V294000 = V207697 - 1. assign V013536 = V933489 - 1. assign V846325 = V078466. assign V777714 = V527210. assign V549082 = V994366. assign V192988 = V225865 - 1. assign V509618 = V597141 + 1. assign V200202 = V867585 + 1. assign V198149 = V631940. assign V738715 = V723104 - 1. assign V060476 = V218528 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV118861 = 6;\n\nFrom these direct assignment(s), we have: \nV958893 = V118861 - 1 = 6 - 1 =5;\nNo other variables can be derived from V958893;\nNo other variables can be derived from V118861;\n\nNow we have done all the calculations. Derived variables are:\nV118861 = 6;\nV958893 = 5;\n\nNow we have finished this problem. ANSWER:\nV118861\n", "role": "assistant" } ]

[ "V536957", "V034778" ]

[ { "content": "<context>\nassign V593750 = V096299. assign V945252 = V827576 - 1. assign V482065 = V761252 + 1. assign V253552 = V719624 - 1. assign V191089 = V769655 + 1. assign V590259 = V888319 - 1. assign V385232 = V604889 + 1. assign V291307 = V385232. assign V212699 = V385232. assign V517527 = V455429. assign V536957 = 7. assign V340229 = V314679 + 1. assign V896061 = V264966 - 1. assign V331155 = V517527 + 1. assign V245801 = V445287 + 1. assign V136496 = V371247 + 1. assign V797469 = V647187. assign V647260 = V073272 - 1. assign V647810 = V467020 + 1. assign V153865 = V231862. assign V653351 = V120698. assign V613222 = V761453 + 1. assign V715631 = V467020. assign V564491 = V453614 + 1. assign V234972 = V647810 - 1. assign V544212 = V746869 - 1. assign V949498 = V925838. assign V369048 = V305969 + 1. assign V816566 = V604889 - 1. assign V719624 = V444698. assign V188828 = V322143 - 1. assign V146930 = V746869 - 1. assign V371247 = V979068 + 1. assign V618424 = V311428 - 1. assign V479903 = V669278. assign V402153 = V418626 - 1. assign V173192 = V647810. assign V223505 = V604889 + 1. assign V445133 = V719624 + 1. assign V233933 = V797469 - 1. assign V990049 = V322143 + 1. assign V445287 = V767524 + 1. assign V769748 = V184411 + 1. assign V974005 = V213530 - 1. assign V604889 = V188828 - 1. assign V784256 = V305969. assign V909411 = V647187 - 1. assign V701948 = V394150. assign V042183 = V101302 - 1. assign V502876 = V761453. assign V761453 = V369048. assign V669278 = V453614 + 1. assign V034778 = V536957. assign V898819 = V888319 - 1. assign V264965 = V279563 - 1. assign V048216 = V136496 - 1. assign V104574 = V173192. assign V706716 = V945252. assign V444698 = V444420 - 1. assign V330777 = V218655 + 1. assign V761252 = V706118 + 1. assign V827576 = V369048. assign V311428 = V109031 + 1. assign V641680 = V827576 + 1. assign V420915 = V291307. assign V456692 = V340229 + 1. assign V213530 = V719624 + 1. assign V315382 = V858428 - 1. assign V904688 = V303778 - 1. assign V386999 = V904688. assign V360166 = V213530 + 1. assign V763467 = V483715. assign V365826 = V719624 + 1. assign V340393 = V974005. assign V667948 = V687088. assign V389109 = V444698 + 1. assign V490646 = V109031 + 1. assign V869927 = V842090 - 1. assign V056504 = V445287 - 1. assign V249201 = V444420 + 1. assign V039670 = V420467 - 1. assign V397449 = V191089 - 1. assign V279563 = V842090 + 1. assign V814413 = V136496. assign V934900 = V647260 + 1. assign V472177 = V264965 - 1. assign V096299 = V888319. assign V979068 = V091954 - 1. assign V988115 = V814413. assign V306559 = V322143 - 1. assign V714280 = V371247 + 1. assign V599758 = V888319 + 1. assign V899880 = V305969. assign V652986 = V746869. assign V888319 = V647187 - 1. assign V120698 = V647810 + 1. assign V949488 = V971034 - 1. assign V746869 = V704540 - 1. assign V187872 = V945252. assign V584824 = V898819. assign V392424 = V797469 - 1. assign V046077 = V706118 - 1. assign V673449 = V604889 - 1. assign V507841 = V291307. assign V706118 = V797469. assign V002227 = V446285 - 1. assign V467974 = V303778. assign V842090 = V604889. assign V101302 = V898819 - 1. assign V731818 = V279563 - 1. assign V483715 = V223505 + 1. assign V365358 = V091954 + 1. assign V420467 = V467974. assign V391627 = V453614. assign V282447 = V842090. assign V109031 = V934900. assign V769655 = V604889. assign V506425 = V249201 + 1. assign V390251 = V445287. assign V446285 = V949488. assign V002440 = V091954. assign V394150 = V647187 - 1. assign V305969 = V322143. assign V218655 = V306559 - 1. assign V932592 = V104574 - 1. assign V310895 = V601832 + 1. assign V591175 = V322143 + 1. assign V314679 = V109031 - 1. assign V303778 = V184411 + 1. assign V443613 = V073272 - 1. assign V231862 = V444420. assign V139928 = V842090 - 1. assign V453614 = V797469 - 1. assign V704540 = V184411 + 1. assign V925838 = V354282 - 1. assign V733952 = V136496. assign V478447 = V479903. assign V992694 = V669278. assign V514756 = V346027 + 1. assign V888739 = V949498 + 1. assign V693325 = V979068 + 1. assign V687088 = V590259 + 1. assign V830195 = V455429 - 1. assign V767524 = V925838 - 1. assign V467020 = V303778 + 1. assign V196899 = V109031. assign V138298 = V264966 + 1. assign V050195 = V279563 - 1. assign V444420 = V467020 + 1. assign V091954 = V647810 - 1. assign V493454 = V385232. assign V631780 = V355254. assign V204790 = V050195 + 1. assign V601832 = V631780 + 1. assign V184411 = V647187 + 1. assign V418626 = V949488 + 1. assign V455429 = V188828. assign V346027 = V888319 - 1. assign V073272 = V467020 + 1. assign V463333 = V591175. assign V264966 = V453614 - 1. assign V354282 = V264965 + 1. assign V870496 = V816566. assign V858428 = V769748 + 1. assign V334366 = V291307 + 1. assign V791147 = V647260 - 1. assign V727687 = V797469. assign V971034 = V647187 + 1. assign V322143 = V467020 - 1. assign V355254 = V669278 + 1. assign V931725 = V590259 - 1. assign V178610 = V291307.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V593750 = V096299. assign V945252 = V827576 - 1. assign V482065 = V761252 + 1. assign V253552 = V719624 - 1. assign V191089 = V769655 + 1. assign V590259 = V888319 - 1. assign V385232 = V604889 + 1. assign V291307 = V385232. assign V212699 = V385232. assign V517527 = V455429. assign V536957 = 7. assign V340229 = V314679 + 1. assign V896061 = V264966 - 1. assign V331155 = V517527 + 1. assign V245801 = V445287 + 1. assign V136496 = V371247 + 1. assign V797469 = V647187. assign V647260 = V073272 - 1. assign V647810 = V467020 + 1. assign V153865 = V231862. assign V653351 = V120698. assign V613222 = V761453 + 1. assign V715631 = V467020. assign V564491 = V453614 + 1. assign V234972 = V647810 - 1. assign V544212 = V746869 - 1. assign V949498 = V925838. assign V369048 = V305969 + 1. assign V816566 = V604889 - 1. assign V719624 = V444698. assign V188828 = V322143 - 1. assign V146930 = V746869 - 1. assign V371247 = V979068 + 1. assign V618424 = V311428 - 1. assign V479903 = V669278. assign V402153 = V418626 - 1. assign V173192 = V647810. assign V223505 = V604889 + 1. assign V445133 = V719624 + 1. assign V233933 = V797469 - 1. assign V990049 = V322143 + 1. assign V445287 = V767524 + 1. assign V769748 = V184411 + 1. assign V974005 = V213530 - 1. assign V604889 = V188828 - 1. assign V784256 = V305969. assign V909411 = V647187 - 1. assign V701948 = V394150. assign V042183 = V101302 - 1. assign V502876 = V761453. assign V761453 = V369048. assign V669278 = V453614 + 1. assign V034778 = V536957. assign V898819 = V888319 - 1. assign V264965 = V279563 - 1. assign V048216 = V136496 - 1. assign V104574 = V173192. assign V706716 = V945252. assign V444698 = V444420 - 1. assign V330777 = V218655 + 1. assign V761252 = V706118 + 1. assign V827576 = V369048. assign V311428 = V109031 + 1. assign V641680 = V827576 + 1. assign V420915 = V291307. assign V456692 = V340229 + 1. assign V213530 = V719624 + 1. assign V315382 = V858428 - 1. assign V904688 = V303778 - 1. assign V386999 = V904688. assign V360166 = V213530 + 1. assign V763467 = V483715. assign V365826 = V719624 + 1. assign V340393 = V974005. assign V667948 = V687088. assign V389109 = V444698 + 1. assign V490646 = V109031 + 1. assign V869927 = V842090 - 1. assign V056504 = V445287 - 1. assign V249201 = V444420 + 1. assign V039670 = V420467 - 1. assign V397449 = V191089 - 1. assign V279563 = V842090 + 1. assign V814413 = V136496. assign V934900 = V647260 + 1. assign V472177 = V264965 - 1. assign V096299 = V888319. assign V979068 = V091954 - 1. assign V988115 = V814413. assign V306559 = V322143 - 1. assign V714280 = V371247 + 1. assign V599758 = V888319 + 1. assign V899880 = V305969. assign V652986 = V746869. assign V888319 = V647187 - 1. assign V120698 = V647810 + 1. assign V949488 = V971034 - 1. assign V746869 = V704540 - 1. assign V187872 = V945252. assign V584824 = V898819. assign V392424 = V797469 - 1. assign V046077 = V706118 - 1. assign V673449 = V604889 - 1. assign V507841 = V291307. assign V706118 = V797469. assign V002227 = V446285 - 1. assign V467974 = V303778. assign V842090 = V604889. assign V101302 = V898819 - 1. assign V731818 = V279563 - 1. assign V483715 = V223505 + 1. assign V365358 = V091954 + 1. assign V420467 = V467974. assign V391627 = V453614. assign V282447 = V842090. assign V109031 = V934900. assign V769655 = V604889. assign V506425 = V249201 + 1. assign V390251 = V445287. assign V446285 = V949488. assign V002440 = V091954. assign V394150 = V647187 - 1. assign V305969 = V322143. assign V218655 = V306559 - 1. assign V932592 = V104574 - 1. assign V310895 = V601832 + 1. assign V591175 = V322143 + 1. assign V314679 = V109031 - 1. assign V303778 = V184411 + 1. assign V443613 = V073272 - 1. assign V231862 = V444420. assign V139928 = V842090 - 1. assign V453614 = V797469 - 1. assign V704540 = V184411 + 1. assign V925838 = V354282 - 1. assign V733952 = V136496. assign V478447 = V479903. assign V992694 = V669278. assign V514756 = V346027 + 1. assign V888739 = V949498 + 1. assign V693325 = V979068 + 1. assign V687088 = V590259 + 1. assign V830195 = V455429 - 1. assign V767524 = V925838 - 1. assign V467020 = V303778 + 1. assign V196899 = V109031. assign V138298 = V264966 + 1. assign V050195 = V279563 - 1. assign V444420 = V467020 + 1. assign V091954 = V647810 - 1. assign V493454 = V385232. assign V631780 = V355254. assign V204790 = V050195 + 1. assign V601832 = V631780 + 1. assign V184411 = V647187 + 1. assign V418626 = V949488 + 1. assign V455429 = V188828. assign V346027 = V888319 - 1. assign V073272 = V467020 + 1. assign V463333 = V591175. assign V264966 = V453614 - 1. assign V354282 = V264965 + 1. assign V870496 = V816566. assign V858428 = V769748 + 1. assign V334366 = V291307 + 1. assign V791147 = V647260 - 1. assign V727687 = V797469. assign V971034 = V647187 + 1. assign V322143 = V467020 - 1. assign V355254 = V669278 + 1. assign V931725 = V590259 - 1. assign V178610 = V291307.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV536957 = 7;\n\nFrom these direct assignment(s), we have: \nV034778 = V536957 = 7;\nNo other variables can be derived from V034778;\nNo other variables can be derived from V536957;\n\nNow we have done all the calculations. Derived variables are:\nV536957 = 7;\nV034778 = 7;\n\nNow we have finished this problem. ANSWER:\nV536957, V034778\n", "role": "assistant" } ]

[ "V072342", "V923600" ]

[ { "content": "<context>\nassign V586860 = V256767 - 1. assign V707006 = V950476. assign V332839 = V663986 + 1. assign V009406 = V722231 + 1. assign V708402 = V242271. assign V914433 = V451214. assign V406097 = V517297 + 1. assign V569255 = V517297 + 1. assign V530542 = V121918 + 1. assign V621173 = V480712 + 1. assign V759160 = V624561 - 1. assign V537553 = V912798 + 1. assign V191800 = V413766 + 1. assign V461042 = V316979 + 1. assign V480712 = V814848 + 1. assign V215048 = V242271. assign V558170 = V546223. assign V479707 = V820466 + 1. assign V153272 = V546223. assign V535355 = V624561. assign V949491 = V364019 - 1. assign V636668 = V451214 - 1. assign V647177 = V624561 - 1. assign V265837 = V803475 - 1. assign V139263 = V816266. assign V464998 = V329429. assign V722231 = V364019 - 1. assign V003891 = V480712. assign V954262 = V915347 + 1. assign V814848 = V451214. assign V341978 = V549750. assign V410115 = V814848 - 1. assign V545672 = V532615 - 1. assign V912695 = V586860 + 1. assign V947897 = V519796. assign V912798 = V914588. assign V194432 = V912798 - 1. assign V546223 = V722231. assign V786470 = V814848 + 1. assign V698094 = V297559. assign V413766 = V759160. assign V433660 = V667859. assign V860353 = V194432. assign V908349 = V074702. assign V929896 = V004521 + 1. assign V473469 = V811872 - 1. assign V840084 = V364019 + 1. assign V646969 = V644760 - 1. assign V127131 = V339966 + 1. assign V874301 = V121918. assign V915347 = V840084 - 1. assign V004521 = V550097. assign V240368 = V803475. assign V388134 = V299565 - 1. assign V268805 = V916412. assign V299565 = V139263. assign V746085 = V456317. assign V178633 = V632673 + 1. assign V480514 = V820466. assign V952531 = V003891. assign V406628 = V121918 - 1. assign V974221 = V916412 - 1. assign V567645 = V537553. assign V369209 = V522719 - 1. assign V811872 = V816266 - 1. assign V365838 = V759160 + 1. assign V015364 = V370405 - 1. assign V644760 = V364019. assign V517297 = V364019. assign V294497 = V364019 - 1. assign V778686 = V133609. assign V624725 = V519796. assign V571553 = V863759 + 1. assign V477927 = V569255 - 1. assign V074702 = V456317 + 1. assign V486825 = V148099. assign V848784 = V329429. assign V365657 = V786470 + 1. assign V364019 = V451214 + 1. assign V230885 = V707006. assign V089598 = V624725. assign V820466 = V406097. assign V916412 = V299565 + 1. assign V411209 = V370405 + 1. assign V512231 = V758870 - 1. assign V339966 = V624725. assign V519796 = V254828. assign V178775 = V644760 - 1. assign V982875 = V406097. assign V703749 = V569255 + 1. assign V697471 = V364749 + 1. assign V111304 = V088696 + 1. assign V860491 = V707006 + 1. assign V151920 = V947897. assign V086104 = V016991. assign V768277 = V451214. assign V914588 = V480712 + 1. assign V242271 = V121918. assign V316979 = V768277. assign V550340 = V722231 + 1. assign V959961 = V816266. assign V693320 = V130605 + 1. assign V112600 = V254828. assign V743178 = V003891 + 1. assign V803792 = V240368. assign V370405 = V486825 + 1. assign V913773 = V808094 - 1. assign V667859 = V814245 + 1. assign V133609 = V112600 + 1. assign V663986 = V268805. assign V364749 = V820466 + 1. assign V943374 = V814245 + 1. assign V816266 = V406628 - 1. assign V297559 = V814848 - 1. assign V632673 = V451214 - 1. assign V022324 = V913329. assign V019670 = V786470 - 1. assign V981883 = V758870. assign V522719 = V519796 + 1. assign V822309 = V370405 + 1. assign V950476 = V121918 - 1. assign V283777 = V778686. assign V187999 = V831024 - 1. assign V327485 = V912695 + 1. assign V913329 = V482720. assign V370052 = V546223 - 1. assign V284242 = V329429 + 1. assign V479289 = V456317 + 1. assign V814245 = V364019 + 1. assign V256767 = V646969. assign V624561 = V814848. assign V746953 = V911191 + 1. assign V674484 = V722231. assign V638374 = V811872. assign V327187 = V451214 - 1. assign V472472 = V003891 - 1. assign V404857 = V519796 + 1. assign V549750 = V519796 - 1. assign V532615 = V914433 - 1. assign V912187 = V016991. assign V160237 = V707006 + 1. assign V550097 = V121918. assign V291115 = V914588 + 1. assign V329429 = V406628 - 1. assign V254828 = V814848. assign V121918 = V364019. assign V101911 = V911191. assign V088696 = V947897 + 1. assign V234893 = V451214 - 1. assign V803475 = V707006. assign V429786 = V240368 - 1. assign V679335 = V647177 + 1. assign V130605 = V517297. assign V911191 = V644760 - 1. assign V482720 = V451214. assign V470324 = V522719. assign V614118 = V332839 - 1. assign V372492 = V480712. assign V831024 = V429786 - 1. assign V016991 = V703749 - 1. assign V863759 = V822309. assign V072342 = 6. assign V426961 = V949491. assign V923600 = V072342. assign V808094 = V950476 - 1. assign V148099 = V451214 - 1. assign V177445 = V569255. assign V758870 = V707006 + 1. assign V013598 = V646969. assign V365499 = V816266 - 1. assign V456317 = V814245 + 1. assign V065269 = V464998 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V586860 = V256767 - 1. assign V707006 = V950476. assign V332839 = V663986 + 1. assign V009406 = V722231 + 1. assign V708402 = V242271. assign V914433 = V451214. assign V406097 = V517297 + 1. assign V569255 = V517297 + 1. assign V530542 = V121918 + 1. assign V621173 = V480712 + 1. assign V759160 = V624561 - 1. assign V537553 = V912798 + 1. assign V191800 = V413766 + 1. assign V461042 = V316979 + 1. assign V480712 = V814848 + 1. assign V215048 = V242271. assign V558170 = V546223. assign V479707 = V820466 + 1. assign V153272 = V546223. assign V535355 = V624561. assign V949491 = V364019 - 1. assign V636668 = V451214 - 1. assign V647177 = V624561 - 1. assign V265837 = V803475 - 1. assign V139263 = V816266. assign V464998 = V329429. assign V722231 = V364019 - 1. assign V003891 = V480712. assign V954262 = V915347 + 1. assign V814848 = V451214. assign V341978 = V549750. assign V410115 = V814848 - 1. assign V545672 = V532615 - 1. assign V912695 = V586860 + 1. assign V947897 = V519796. assign V912798 = V914588. assign V194432 = V912798 - 1. assign V546223 = V722231. assign V786470 = V814848 + 1. assign V698094 = V297559. assign V413766 = V759160. assign V433660 = V667859. assign V860353 = V194432. assign V908349 = V074702. assign V929896 = V004521 + 1. assign V473469 = V811872 - 1. assign V840084 = V364019 + 1. assign V646969 = V644760 - 1. assign V127131 = V339966 + 1. assign V874301 = V121918. assign V915347 = V840084 - 1. assign V004521 = V550097. assign V240368 = V803475. assign V388134 = V299565 - 1. assign V268805 = V916412. assign V299565 = V139263. assign V746085 = V456317. assign V178633 = V632673 + 1. assign V480514 = V820466. assign V952531 = V003891. assign V406628 = V121918 - 1. assign V974221 = V916412 - 1. assign V567645 = V537553. assign V369209 = V522719 - 1. assign V811872 = V816266 - 1. assign V365838 = V759160 + 1. assign V015364 = V370405 - 1. assign V644760 = V364019. assign V517297 = V364019. assign V294497 = V364019 - 1. assign V778686 = V133609. assign V624725 = V519796. assign V571553 = V863759 + 1. assign V477927 = V569255 - 1. assign V074702 = V456317 + 1. assign V486825 = V148099. assign V848784 = V329429. assign V365657 = V786470 + 1. assign V364019 = V451214 + 1. assign V230885 = V707006. assign V089598 = V624725. assign V820466 = V406097. assign V916412 = V299565 + 1. assign V411209 = V370405 + 1. assign V512231 = V758870 - 1. assign V339966 = V624725. assign V519796 = V254828. assign V178775 = V644760 - 1. assign V982875 = V406097. assign V703749 = V569255 + 1. assign V697471 = V364749 + 1. assign V111304 = V088696 + 1. assign V860491 = V707006 + 1. assign V151920 = V947897. assign V086104 = V016991. assign V768277 = V451214. assign V914588 = V480712 + 1. assign V242271 = V121918. assign V316979 = V768277. assign V550340 = V722231 + 1. assign V959961 = V816266. assign V693320 = V130605 + 1. assign V112600 = V254828. assign V743178 = V003891 + 1. assign V803792 = V240368. assign V370405 = V486825 + 1. assign V913773 = V808094 - 1. assign V667859 = V814245 + 1. assign V133609 = V112600 + 1. assign V663986 = V268805. assign V364749 = V820466 + 1. assign V943374 = V814245 + 1. assign V816266 = V406628 - 1. assign V297559 = V814848 - 1. assign V632673 = V451214 - 1. assign V022324 = V913329. assign V019670 = V786470 - 1. assign V981883 = V758870. assign V522719 = V519796 + 1. assign V822309 = V370405 + 1. assign V950476 = V121918 - 1. assign V283777 = V778686. assign V187999 = V831024 - 1. assign V327485 = V912695 + 1. assign V913329 = V482720. assign V370052 = V546223 - 1. assign V284242 = V329429 + 1. assign V479289 = V456317 + 1. assign V814245 = V364019 + 1. assign V256767 = V646969. assign V624561 = V814848. assign V746953 = V911191 + 1. assign V674484 = V722231. assign V638374 = V811872. assign V327187 = V451214 - 1. assign V472472 = V003891 - 1. assign V404857 = V519796 + 1. assign V549750 = V519796 - 1. assign V532615 = V914433 - 1. assign V912187 = V016991. assign V160237 = V707006 + 1. assign V550097 = V121918. assign V291115 = V914588 + 1. assign V329429 = V406628 - 1. assign V254828 = V814848. assign V121918 = V364019. assign V101911 = V911191. assign V088696 = V947897 + 1. assign V234893 = V451214 - 1. assign V803475 = V707006. assign V429786 = V240368 - 1. assign V679335 = V647177 + 1. assign V130605 = V517297. assign V911191 = V644760 - 1. assign V482720 = V451214. assign V470324 = V522719. assign V614118 = V332839 - 1. assign V372492 = V480712. assign V831024 = V429786 - 1. assign V016991 = V703749 - 1. assign V863759 = V822309. assign V072342 = 6. assign V426961 = V949491. assign V923600 = V072342. assign V808094 = V950476 - 1. assign V148099 = V451214 - 1. assign V177445 = V569255. assign V758870 = V707006 + 1. assign V013598 = V646969. assign V365499 = V816266 - 1. assign V456317 = V814245 + 1. assign V065269 = V464998 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV072342 = 6;\n\nFrom these direct assignment(s), we have: \nV923600 = V072342 = 6;\nNo other variables can be derived from V923600;\nNo other variables can be derived from V072342;\n\nNow we have done all the calculations. Derived variables are:\nV072342 = 6;\nV923600 = 6;\n\nNow we have finished this problem. ANSWER:\nV072342, V923600\n", "role": "assistant" } ]

[ "V972247", "V569892" ]

[ { "content": "<context>\nassign V910623 = V450923 + 1. assign V906304 = V174964 - 1. assign V947105 = V378588 + 1. assign V395887 = V257757. assign V201624 = V910216 + 1. assign V056491 = V557605 - 1. assign V349267 = V540422 + 1. assign V109174 = V220452 - 1. assign V223736 = V276384 + 1. assign V457330 = V673201. assign V676608 = V930043. assign V989556 = V610750 - 1. assign V396165 = V722851 - 1. assign V019544 = V930043 - 1. assign V867222 = V341432 - 1. assign V408153 = V097085 - 1. assign V910216 = V406177 - 1. assign V610750 = V257757 - 1. assign V166436 = V114169. assign V973222 = V083237 + 1. assign V932380 = V748492. assign V196975 = V166436 + 1. assign V096460 = V399229 + 1. assign V820203 = V384257 + 1. assign V399229 = V983844. assign V394308 = V273707 + 1. assign V384569 = V806662 + 1. assign V119395 = V475646. assign V299289 = V557605 + 1. assign V431939 = V604088. assign V083237 = V395887. assign V869362 = V703091 - 1. assign V703091 = V265156 + 1. assign V166580 = V989556 - 1. assign V542237 = V557605 + 1. assign V722851 = V384840 - 1. assign V054520 = V738377. assign V976037 = V265156. assign V919518 = V471894 - 1. assign V722065 = V182107. assign V276384 = V109174. assign V174964 = V174435. assign V701874 = V844537 - 1. assign V633550 = V457330. assign V483627 = V897260 - 1. assign V997266 = V406177 - 1. assign V220452 = V703091 + 1. assign V361781 = V471894 + 1. assign V961788 = V720557 + 1. assign V967466 = V780152 + 1. assign V384257 = V685863. assign V151858 = V182107. assign V720557 = V457330. assign V635051 = V820203 + 1. assign V148191 = V389661 + 1. assign V972247 = 4. assign V599916 = V109174 - 1. assign V897195 = V906304 - 1. assign V934993 = V273707 - 1. assign V049076 = V119395 - 1. assign V796457 = V182107 + 1. assign V341432 = V625936. assign V172084 = V676608 - 1. assign V450923 = V685863. assign V312912 = V595274 + 1. assign V294854 = V673201 + 1. assign V613986 = V473593. assign V754695 = V542237 + 1. assign V573623 = V424423. assign V114169 = V161533 + 1. assign V392116 = V395887. assign V261371 = V119395 + 1. assign V854312 = V361781 - 1. assign V435564 = V854312 - 1. assign V264519 = V027777 - 1. assign V241735 = V837775 - 1. assign V983391 = V097085 + 1. assign V027777 = V174964 + 1. assign V388766 = V406177 + 1. assign V684830 = V384257. assign V354358 = V820203 + 1. assign V612247 = V261371. assign V930043 = V632611. assign V225630 = V161533. assign V441605 = V625936. assign V766380 = V749381. assign V254779 = V673201 - 1. assign V269638 = V604088 - 1. assign V161533 = V632611 + 1. assign V458682 = V865634. assign V557605 = V109174. assign V473593 = V054062. assign V571335 = V749381 + 1. assign V632611 = V257757. assign V859082 = V408153 + 1. assign V257757 = V703091 - 1. assign V567123 = V378588 + 1. assign V471894 = V054062. assign V475646 = V844537. assign V576678 = V604088 - 1. assign V717673 = V703091 - 1. assign V378588 = V865634 + 1. assign V837775 = V065076 + 1. assign V897602 = V784153. assign V555808 = V384840 + 1. assign V697475 = V753508 + 1. assign V105198 = V054520 - 1. assign V751091 = V784153 - 1. assign V527207 = V272811. assign V406177 = V257757 - 1. assign V730168 = V294854. assign V572287 = V565760 - 1. assign V569892 = V972247. assign V540422 = V361781. assign V565760 = V273707 + 1. assign V097085 = V720557 + 1. assign V865634 = V384840 + 1. assign V389661 = V027777 + 1. assign V136346 = V573623 + 1. assign V685863 = V441605. assign V424423 = V276384. assign V658221 = V174435 + 1. assign V510817 = V471894 + 1. assign V922123 = V865093. assign V386530 = V555808 - 1. assign V595274 = V220452 + 1. assign V432980 = V753508. assign V729545 = V989556 + 1. assign V897260 = V384840. assign V844537 = V220452 - 1. assign V668984 = V384840. assign V000969 = V780152 - 1. assign V999790 = V254779. assign V738377 = V394308 + 1. assign V983844 = V632611 + 1. assign V116531 = V844537. assign V050850 = V257757. assign V717681 = V050850 - 1. assign V273707 = V753508. assign V997101 = V798744 + 1. assign V784153 = V685863 + 1. assign V875887 = V435564 - 1. assign V625936 = V703091 + 1. assign V865093 = V717681 - 1. assign V753508 = V109174 - 1. assign V513089 = V394308 + 1. assign V748492 = V248631. assign V359231 = V054062 + 1. assign V206627 = V867222. assign V673201 = V906304 - 1. assign V954611 = V976037. assign V384840 = V257757 + 1. assign V174435 = V384840. assign V182107 = V361781. assign V769630 = V299289 + 1. assign V313099 = V906304 + 1. assign V509958 = V220452 + 1. assign V488346 = V174964 - 1. assign V909355 = V441605. assign V248631 = V703091. assign V413435 = V182107 - 1. assign V272811 = V930043 - 1. assign V607827 = V754695 - 1. assign V065076 = V865634. assign V798744 = V703091. assign V295195 = V607827 + 1. assign V780152 = V475646. assign V749381 = V174964 + 1. assign V604088 = V703091 + 1. assign V054062 = V557605. assign V806662 = V749381. assign V085810 = V378588.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V910623 = V450923 + 1. assign V906304 = V174964 - 1. assign V947105 = V378588 + 1. assign V395887 = V257757. assign V201624 = V910216 + 1. assign V056491 = V557605 - 1. assign V349267 = V540422 + 1. assign V109174 = V220452 - 1. assign V223736 = V276384 + 1. assign V457330 = V673201. assign V676608 = V930043. assign V989556 = V610750 - 1. assign V396165 = V722851 - 1. assign V019544 = V930043 - 1. assign V867222 = V341432 - 1. assign V408153 = V097085 - 1. assign V910216 = V406177 - 1. assign V610750 = V257757 - 1. assign V166436 = V114169. assign V973222 = V083237 + 1. assign V932380 = V748492. assign V196975 = V166436 + 1. assign V096460 = V399229 + 1. assign V820203 = V384257 + 1. assign V399229 = V983844. assign V394308 = V273707 + 1. assign V384569 = V806662 + 1. assign V119395 = V475646. assign V299289 = V557605 + 1. assign V431939 = V604088. assign V083237 = V395887. assign V869362 = V703091 - 1. assign V703091 = V265156 + 1. assign V166580 = V989556 - 1. assign V542237 = V557605 + 1. assign V722851 = V384840 - 1. assign V054520 = V738377. assign V976037 = V265156. assign V919518 = V471894 - 1. assign V722065 = V182107. assign V276384 = V109174. assign V174964 = V174435. assign V701874 = V844537 - 1. assign V633550 = V457330. assign V483627 = V897260 - 1. assign V997266 = V406177 - 1. assign V220452 = V703091 + 1. assign V361781 = V471894 + 1. assign V961788 = V720557 + 1. assign V967466 = V780152 + 1. assign V384257 = V685863. assign V151858 = V182107. assign V720557 = V457330. assign V635051 = V820203 + 1. assign V148191 = V389661 + 1. assign V972247 = 4. assign V599916 = V109174 - 1. assign V897195 = V906304 - 1. assign V934993 = V273707 - 1. assign V049076 = V119395 - 1. assign V796457 = V182107 + 1. assign V341432 = V625936. assign V172084 = V676608 - 1. assign V450923 = V685863. assign V312912 = V595274 + 1. assign V294854 = V673201 + 1. assign V613986 = V473593. assign V754695 = V542237 + 1. assign V573623 = V424423. assign V114169 = V161533 + 1. assign V392116 = V395887. assign V261371 = V119395 + 1. assign V854312 = V361781 - 1. assign V435564 = V854312 - 1. assign V264519 = V027777 - 1. assign V241735 = V837775 - 1. assign V983391 = V097085 + 1. assign V027777 = V174964 + 1. assign V388766 = V406177 + 1. assign V684830 = V384257. assign V354358 = V820203 + 1. assign V612247 = V261371. assign V930043 = V632611. assign V225630 = V161533. assign V441605 = V625936. assign V766380 = V749381. assign V254779 = V673201 - 1. assign V269638 = V604088 - 1. assign V161533 = V632611 + 1. assign V458682 = V865634. assign V557605 = V109174. assign V473593 = V054062. assign V571335 = V749381 + 1. assign V632611 = V257757. assign V859082 = V408153 + 1. assign V257757 = V703091 - 1. assign V567123 = V378588 + 1. assign V471894 = V054062. assign V475646 = V844537. assign V576678 = V604088 - 1. assign V717673 = V703091 - 1. assign V378588 = V865634 + 1. assign V837775 = V065076 + 1. assign V897602 = V784153. assign V555808 = V384840 + 1. assign V697475 = V753508 + 1. assign V105198 = V054520 - 1. assign V751091 = V784153 - 1. assign V527207 = V272811. assign V406177 = V257757 - 1. assign V730168 = V294854. assign V572287 = V565760 - 1. assign V569892 = V972247. assign V540422 = V361781. assign V565760 = V273707 + 1. assign V097085 = V720557 + 1. assign V865634 = V384840 + 1. assign V389661 = V027777 + 1. assign V136346 = V573623 + 1. assign V685863 = V441605. assign V424423 = V276384. assign V658221 = V174435 + 1. assign V510817 = V471894 + 1. assign V922123 = V865093. assign V386530 = V555808 - 1. assign V595274 = V220452 + 1. assign V432980 = V753508. assign V729545 = V989556 + 1. assign V897260 = V384840. assign V844537 = V220452 - 1. assign V668984 = V384840. assign V000969 = V780152 - 1. assign V999790 = V254779. assign V738377 = V394308 + 1. assign V983844 = V632611 + 1. assign V116531 = V844537. assign V050850 = V257757. assign V717681 = V050850 - 1. assign V273707 = V753508. assign V997101 = V798744 + 1. assign V784153 = V685863 + 1. assign V875887 = V435564 - 1. assign V625936 = V703091 + 1. assign V865093 = V717681 - 1. assign V753508 = V109174 - 1. assign V513089 = V394308 + 1. assign V748492 = V248631. assign V359231 = V054062 + 1. assign V206627 = V867222. assign V673201 = V906304 - 1. assign V954611 = V976037. assign V384840 = V257757 + 1. assign V174435 = V384840. assign V182107 = V361781. assign V769630 = V299289 + 1. assign V313099 = V906304 + 1. assign V509958 = V220452 + 1. assign V488346 = V174964 - 1. assign V909355 = V441605. assign V248631 = V703091. assign V413435 = V182107 - 1. assign V272811 = V930043 - 1. assign V607827 = V754695 - 1. assign V065076 = V865634. assign V798744 = V703091. assign V295195 = V607827 + 1. assign V780152 = V475646. assign V749381 = V174964 + 1. assign V604088 = V703091 + 1. assign V054062 = V557605. assign V806662 = V749381. assign V085810 = V378588.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV972247 = 4;\n\nFrom these direct assignment(s), we have: \nV569892 = V972247 = 4;\nNo other variables can be derived from V569892;\nNo other variables can be derived from V972247;\n\nNow we have done all the calculations. Derived variables are:\nV972247 = 4;\nV569892 = 4;\n\nNow we have finished this problem. ANSWER:\nV972247, V569892\n", "role": "assistant" } ]

[ "V486109" ]

[ { "content": "<context>\nassign V157632 = V211570 - 1. assign V352329 = V070975. assign V555755 = V267659 - 1. assign V884953 = V223219 + 1. assign V342610 = V426857. assign V375404 = V213797 - 1. assign V100914 = V848013. assign V818760 = V735160. assign V566767 = V802342. assign V693569 = V625877 + 1. assign V616970 = V211570 - 1. assign V811088 = V616970 + 1. assign V182617 = V218664 - 1. assign V883098 = V151855 + 1. assign V901040 = V824671. assign V383751 = V802342 - 1. assign V613314 = V641006. assign V183311 = V211570 - 1. assign V544229 = V142869 + 1. assign V421821 = V799125. assign V172135 = V581361 - 1. assign V536287 = V860249 + 1. assign V079458 = V222357. assign V777254 = V151855. assign V731057 = V142869 - 1. assign V829430 = V061032. assign V177244 = V077833. assign V306432 = V735160 + 1. assign V709174 = V731057. assign V859808 = V977136. assign V813701 = V775904. assign V218664 = V142869. assign V048968 = V658853. assign V665296 = V061032 + 1. assign V902232 = V010555 - 1. assign V770874 = V700888. assign V349038 = V544229 + 1. assign V909798 = V064006. assign V864593 = V374945 + 1. assign V395457 = V346709 - 1. assign V991574 = V088901. assign V554229 = V732857. assign V142869 = V064006 - 1. assign V802342 = V829447 - 1. assign V824497 = V349038. assign V658853 = V388472. assign V815085 = V775904 - 1. assign V540384 = V267659 - 1. assign V587715 = V848013. assign V203409 = V824671 - 1. assign V822567 = V607889. assign V866970 = V151855 - 1. assign V525355 = V791505. assign V301625 = V829430. assign V432138 = V637047 + 1. assign V623188 = V225314. assign V061032 = V197658. assign V497683 = V211570 - 1. assign V982578 = V770874 + 1. assign V437991 = V341711. assign V211570 = V267659 - 1. assign V226535 = V349038 + 1. assign V299525 = V374945 + 1. assign V268287 = V069280 - 1. assign V153601 = V811088 + 1. assign V732857 = V079458 + 1. assign V221357 = V186257 + 1. assign V934976 = V711173. assign V532213 = V547540 + 1. assign V197658 = V211570 - 1. assign V213797 = V142869 + 1. assign V603311 = V151855. assign V536555 = V658853 - 1. assign V468818 = V731057 - 1. assign V466072 = V151855 - 1. assign V532148 = V306170 - 1. assign V346709 = V901040. assign V460250 = V731057 + 1. assign V730935 = V061032 + 1. assign V111671 = V222357 - 1. assign V082224 = V555755. assign V518369 = V079458. assign V030929 = V496190. assign V077833 = V182617 - 1. assign V977136 = V619825 + 1. assign V088901 = V540384 + 1. assign V456528 = V815085 - 1. assign V472727 = V487065. assign V874759 = V536287. assign V848013 = V901040 - 1. assign V215045 = V991574. assign V665788 = V547540 - 1. assign V264243 = V142869 - 1. assign V304565 = V186257 + 1. assign V225314 = V079458. assign V674263 = V064006. assign V648595 = V760757. assign V318074 = V537239 + 1. assign V487065 = V192894. assign V799694 = V153601 + 1. assign V516526 = V525355 - 1. assign V741776 = V811088. assign V537239 = V799125 + 1. assign V064006 = V267659 - 1. assign V061036 = V890978. assign V890978 = V648595 + 1. assign V581361 = V815085 + 1. assign V607889 = V829430 - 1. assign V711173 = V346709 + 1. assign V496190 = V374945 - 1. assign V779236 = V211570 - 1. assign V940116 = V111671. assign V760757 = V306170 - 1. assign V192894 = V301625 + 1. assign V958227 = V731057 - 1. assign V637047 = V151855 - 1. assign V380902 = V186257 + 1. assign V547540 = V540384. assign V306170 = V299525 + 1. assign V147341 = V468818. assign V647376 = V192894. assign V256618 = V486109 + 1. assign V860409 = V395457 + 1. assign V223219 = V142869 - 1. assign V315695 = V183784. assign V683313 = V218664 + 1. assign V863056 = V375404 + 1. assign V791505 = V496190 - 1. assign V775904 = V547540 + 1. assign V697143 = V536287. assign V374945 = V267659 - 1. assign V304490 = V183784 - 1. assign V839021 = V466072. assign V605983 = V064006. assign V923614 = V264243 - 1. assign V069280 = V061032 + 1. assign V641006 = V142869. assign V010555 = V111671 + 1. assign V486109 = 1. assign V625877 = V811088 - 1. assign V536009 = V883098 + 1. assign V641788 = V829430 + 1. assign V384529 = V069280. assign V151855 = V061032. assign V274620 = V304565. assign V070975 = V813701. assign V638904 = V304565. assign V183784 = V616970 + 1. assign V627040 = V674263 + 1. assign V222357 = V760519 + 1. assign V853704 = V760519. assign V799152 = V468818 - 1. assign V388472 = V211570 + 1. assign V288805 = V625877 - 1. assign V619825 = V665788 - 1. assign V760519 = V267659. assign V394593 = V225314. assign V799125 = V342610 - 1. assign V186257 = V824671 - 1. assign V048561 = V218664 - 1. assign V952579 = V848013 - 1. assign V735160 = V267659 + 1. assign V309889 = V010555 - 1. assign V810969 = V815085. assign V829447 = V623188 - 1. assign V115923 = V700888 + 1. assign V700888 = V079458 + 1. assign V860249 = V623188 + 1. assign V143446 = V693569 + 1. assign V341711 = V607889 - 1. assign V824671 = V267659 - 1. assign V426857 = V555755.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V157632 = V211570 - 1. assign V352329 = V070975. assign V555755 = V267659 - 1. assign V884953 = V223219 + 1. assign V342610 = V426857. assign V375404 = V213797 - 1. assign V100914 = V848013. assign V818760 = V735160. assign V566767 = V802342. assign V693569 = V625877 + 1. assign V616970 = V211570 - 1. assign V811088 = V616970 + 1. assign V182617 = V218664 - 1. assign V883098 = V151855 + 1. assign V901040 = V824671. assign V383751 = V802342 - 1. assign V613314 = V641006. assign V183311 = V211570 - 1. assign V544229 = V142869 + 1. assign V421821 = V799125. assign V172135 = V581361 - 1. assign V536287 = V860249 + 1. assign V079458 = V222357. assign V777254 = V151855. assign V731057 = V142869 - 1. assign V829430 = V061032. assign V177244 = V077833. assign V306432 = V735160 + 1. assign V709174 = V731057. assign V859808 = V977136. assign V813701 = V775904. assign V218664 = V142869. assign V048968 = V658853. assign V665296 = V061032 + 1. assign V902232 = V010555 - 1. assign V770874 = V700888. assign V349038 = V544229 + 1. assign V909798 = V064006. assign V864593 = V374945 + 1. assign V395457 = V346709 - 1. assign V991574 = V088901. assign V554229 = V732857. assign V142869 = V064006 - 1. assign V802342 = V829447 - 1. assign V824497 = V349038. assign V658853 = V388472. assign V815085 = V775904 - 1. assign V540384 = V267659 - 1. assign V587715 = V848013. assign V203409 = V824671 - 1. assign V822567 = V607889. assign V866970 = V151855 - 1. assign V525355 = V791505. assign V301625 = V829430. assign V432138 = V637047 + 1. assign V623188 = V225314. assign V061032 = V197658. assign V497683 = V211570 - 1. assign V982578 = V770874 + 1. assign V437991 = V341711. assign V211570 = V267659 - 1. assign V226535 = V349038 + 1. assign V299525 = V374945 + 1. assign V268287 = V069280 - 1. assign V153601 = V811088 + 1. assign V732857 = V079458 + 1. assign V221357 = V186257 + 1. assign V934976 = V711173. assign V532213 = V547540 + 1. assign V197658 = V211570 - 1. assign V213797 = V142869 + 1. assign V603311 = V151855. assign V536555 = V658853 - 1. assign V468818 = V731057 - 1. assign V466072 = V151855 - 1. assign V532148 = V306170 - 1. assign V346709 = V901040. assign V460250 = V731057 + 1. assign V730935 = V061032 + 1. assign V111671 = V222357 - 1. assign V082224 = V555755. assign V518369 = V079458. assign V030929 = V496190. assign V077833 = V182617 - 1. assign V977136 = V619825 + 1. assign V088901 = V540384 + 1. assign V456528 = V815085 - 1. assign V472727 = V487065. assign V874759 = V536287. assign V848013 = V901040 - 1. assign V215045 = V991574. assign V665788 = V547540 - 1. assign V264243 = V142869 - 1. assign V304565 = V186257 + 1. assign V225314 = V079458. assign V674263 = V064006. assign V648595 = V760757. assign V318074 = V537239 + 1. assign V487065 = V192894. assign V799694 = V153601 + 1. assign V516526 = V525355 - 1. assign V741776 = V811088. assign V537239 = V799125 + 1. assign V064006 = V267659 - 1. assign V061036 = V890978. assign V890978 = V648595 + 1. assign V581361 = V815085 + 1. assign V607889 = V829430 - 1. assign V711173 = V346709 + 1. assign V496190 = V374945 - 1. assign V779236 = V211570 - 1. assign V940116 = V111671. assign V760757 = V306170 - 1. assign V192894 = V301625 + 1. assign V958227 = V731057 - 1. assign V637047 = V151855 - 1. assign V380902 = V186257 + 1. assign V547540 = V540384. assign V306170 = V299525 + 1. assign V147341 = V468818. assign V647376 = V192894. assign V256618 = V486109 + 1. assign V860409 = V395457 + 1. assign V223219 = V142869 - 1. assign V315695 = V183784. assign V683313 = V218664 + 1. assign V863056 = V375404 + 1. assign V791505 = V496190 - 1. assign V775904 = V547540 + 1. assign V697143 = V536287. assign V374945 = V267659 - 1. assign V304490 = V183784 - 1. assign V839021 = V466072. assign V605983 = V064006. assign V923614 = V264243 - 1. assign V069280 = V061032 + 1. assign V641006 = V142869. assign V010555 = V111671 + 1. assign V486109 = 1. assign V625877 = V811088 - 1. assign V536009 = V883098 + 1. assign V641788 = V829430 + 1. assign V384529 = V069280. assign V151855 = V061032. assign V274620 = V304565. assign V070975 = V813701. assign V638904 = V304565. assign V183784 = V616970 + 1. assign V627040 = V674263 + 1. assign V222357 = V760519 + 1. assign V853704 = V760519. assign V799152 = V468818 - 1. assign V388472 = V211570 + 1. assign V288805 = V625877 - 1. assign V619825 = V665788 - 1. assign V760519 = V267659. assign V394593 = V225314. assign V799125 = V342610 - 1. assign V186257 = V824671 - 1. assign V048561 = V218664 - 1. assign V952579 = V848013 - 1. assign V735160 = V267659 + 1. assign V309889 = V010555 - 1. assign V810969 = V815085. assign V829447 = V623188 - 1. assign V115923 = V700888 + 1. assign V700888 = V079458 + 1. assign V860249 = V623188 + 1. assign V143446 = V693569 + 1. assign V341711 = V607889 - 1. assign V824671 = V267659 - 1. assign V426857 = V555755.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV486109 = 1;\n\nFrom these direct assignment(s), we have: \nV256618 = V486109 + 1 = 1 + 1 =2;\nNo other variables can be derived from V256618;\nNo other variables can be derived from V486109;\n\nNow we have done all the calculations. Derived variables are:\nV486109 = 1;\nV256618 = 2;\n\nNow we have finished this problem. ANSWER:\nV486109\n", "role": "assistant" } ]

[ "V581529" ]

[ { "content": "<context>\nassign V395344 = V539714 - 1. assign V756081 = V067121. assign V184507 = V816497 - 1. assign V950267 = V987737 - 1. assign V174150 = V358189. assign V407232 = V514193 - 1. assign V980374 = V184732 + 1. assign V105989 = V060177 - 1. assign V312221 = V969622 - 1. assign V432799 = V337868 - 1. assign V203248 = V386034 - 1. assign V066639 = V899783 - 1. assign V269005 = V123139. assign V386034 = V451377. assign V958979 = V140197 - 1. assign V386032 = V060177. assign V677879 = V735290. assign V313094 = V203248 + 1. assign V976552 = V899783 - 1. assign V420838 = V263412 + 1. assign V233041 = V337868 + 1. assign V951731 = V313094. assign V861096 = V686209. assign V067121 = V184732 + 1. assign V938381 = V269401 - 1. assign V628977 = V673580. assign V456786 = V200891 - 1. assign V656602 = V830217 - 1. assign V597306 = V676711. assign V137942 = V714950 - 1. assign V302763 = V731722 + 1. assign V200891 = V491703 + 1. assign V874527 = V032246 + 1. assign V878426 = V635530. assign V375985 = V976552. assign V358189 = V140197 - 1. assign V695639 = V607935. assign V337868 = V714950. assign V619918 = V491703. assign V509307 = V226219. assign V731722 = V735294 - 1. assign V285207 = V851019 + 1. assign V247636 = V140197. assign V167256 = V848052 - 1. assign V841383 = V848052 - 1. assign V226219 = V976552 - 1. assign V678566 = V686209 + 1. assign V634418 = V086992 - 1. assign V673580 = V816497. assign V987737 = V874343 + 1. assign V427122 = V312221 - 1. assign V848052 = V673580 - 1. assign V590148 = V832184 - 1. assign V800858 = V987737 + 1. assign V581529 = V343292 + 1. assign V424643 = V977267 - 1. assign V632292 = V861096. assign V060177 = V184507 + 1. assign V451377 = V607935 + 1. assign V934869 = V184507. assign V272944 = V060177. assign V874343 = V386034 + 1. assign V354369 = V272944. assign V987573 = V673580 + 1. assign V379880 = V184507. assign V324370 = V263412. assign V032246 = V379880 + 1. assign V334290 = V337868 - 1. assign V843752 = V656602 - 1. assign V320949 = V334290. assign V915898 = V873638 + 1. assign V852655 = V909779 - 1. assign V318700 = V420623 - 1. assign V250916 = V976552 + 1. assign V196401 = V656602 + 1. assign V225155 = V874527 - 1. assign V443361 = V263412. assign V977267 = V432799 - 1. assign V371842 = V590148. assign V837474 = V247636 + 1. assign V780436 = V184507 + 1. assign V092942 = V324370 + 1. assign V244767 = V174150. assign V514193 = V780436 + 1. assign V583374 = V184507 + 1. assign V395775 = V032246 + 1. assign V051424 = V848052 - 1. assign V559889 = V735290 - 1. assign V216465 = V909779 - 1. assign V859789 = V969622 - 1. assign V888571 = V673580 + 1. assign V322847 = V274818. assign V635530 = V859789 - 1. assign V686209 = V184507 + 1. assign V676711 = V973034. assign V017116 = V109088. assign V403934 = V420838. assign V123139 = V092942. assign V263412 = V848052 - 1. assign V059567 = V032246. assign V873638 = V673580. assign V673365 = V086992. assign V799168 = V673580 + 1. assign V274818 = V873638 + 1. assign V702045 = V607935 - 1. assign V542059 = V899783 + 1. assign V039581 = V802121 + 1. assign V735294 = V873638. assign V309092 = V337868 + 1. assign V015595 = V676711. assign V690952 = V223953 - 1. assign V382113 = V263412 - 1. assign V486286 = V841383 - 1. assign V816497 = V607935 - 1. assign V101416 = V819534 - 1. assign V770983 = V509307 - 1. assign V832184 = V873638. assign V509465 = V067121 + 1. assign V527316 = V987737 + 1. assign V703774 = V451377 - 1. assign V223953 = V066639. assign V356785 = V799168 + 1. assign V969622 = V386034. assign V174513 = V607935 + 1. assign V184732 = V167256. assign V172242 = V597306. assign V336065 = V356785. assign V830217 = V432799. assign V940367 = V017116 + 1. assign V207508 = V987573. assign V055541 = V059567. assign V689033 = V363604. assign V815436 = V410044 - 1. assign V714950 = V816497 - 1. assign V819534 = V874527 + 1. assign V410044 = V104333 - 1. assign V266773 = V395344 + 1. assign V363604 = V032246 - 1. assign V460012 = V172242 - 1. assign V909779 = V337868 - 1. assign V929244 = V375985 - 1. assign V324000 = V382113. assign V539714 = V420838 + 1. assign V516899 = V104333 - 1. assign V911014 = V167256 + 1. assign V348795 = V628977 - 1. assign V549453 = V337868. assign V183769 = V607935 + 1. assign V109088 = V516899 - 1. assign V673822 = V420623 + 1. assign V403289 = V395344. assign V609979 = V542059 - 1. assign V104333 = V899783 - 1. assign V485794 = V092942 - 1. assign V269401 = V442983. assign V104859 = V859789. assign V120980 = V386034 - 1. assign V442983 = V358189. assign V444088 = V263412 - 1. assign V802121 = V491703. assign V735290 = V051424 + 1. assign V491703 = V934869 - 1. assign V140197 = V899783 - 1. assign V343292 = 2. assign V220096 = V628977 + 1. assign V973034 = V348795 - 1. assign V532302 = V456786. assign V851019 = V060177. assign V899783 = V673580 + 1. assign V944243 = V909779 + 1. assign V420623 = V549453 + 1. assign V086992 = V137942 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V395344 = V539714 - 1. assign V756081 = V067121. assign V184507 = V816497 - 1. assign V950267 = V987737 - 1. assign V174150 = V358189. assign V407232 = V514193 - 1. assign V980374 = V184732 + 1. assign V105989 = V060177 - 1. assign V312221 = V969622 - 1. assign V432799 = V337868 - 1. assign V203248 = V386034 - 1. assign V066639 = V899783 - 1. assign V269005 = V123139. assign V386034 = V451377. assign V958979 = V140197 - 1. assign V386032 = V060177. assign V677879 = V735290. assign V313094 = V203248 + 1. assign V976552 = V899783 - 1. assign V420838 = V263412 + 1. assign V233041 = V337868 + 1. assign V951731 = V313094. assign V861096 = V686209. assign V067121 = V184732 + 1. assign V938381 = V269401 - 1. assign V628977 = V673580. assign V456786 = V200891 - 1. assign V656602 = V830217 - 1. assign V597306 = V676711. assign V137942 = V714950 - 1. assign V302763 = V731722 + 1. assign V200891 = V491703 + 1. assign V874527 = V032246 + 1. assign V878426 = V635530. assign V375985 = V976552. assign V358189 = V140197 - 1. assign V695639 = V607935. assign V337868 = V714950. assign V619918 = V491703. assign V509307 = V226219. assign V731722 = V735294 - 1. assign V285207 = V851019 + 1. assign V247636 = V140197. assign V167256 = V848052 - 1. assign V841383 = V848052 - 1. assign V226219 = V976552 - 1. assign V678566 = V686209 + 1. assign V634418 = V086992 - 1. assign V673580 = V816497. assign V987737 = V874343 + 1. assign V427122 = V312221 - 1. assign V848052 = V673580 - 1. assign V590148 = V832184 - 1. assign V800858 = V987737 + 1. assign V581529 = V343292 + 1. assign V424643 = V977267 - 1. assign V632292 = V861096. assign V060177 = V184507 + 1. assign V451377 = V607935 + 1. assign V934869 = V184507. assign V272944 = V060177. assign V874343 = V386034 + 1. assign V354369 = V272944. assign V987573 = V673580 + 1. assign V379880 = V184507. assign V324370 = V263412. assign V032246 = V379880 + 1. assign V334290 = V337868 - 1. assign V843752 = V656602 - 1. assign V320949 = V334290. assign V915898 = V873638 + 1. assign V852655 = V909779 - 1. assign V318700 = V420623 - 1. assign V250916 = V976552 + 1. assign V196401 = V656602 + 1. assign V225155 = V874527 - 1. assign V443361 = V263412. assign V977267 = V432799 - 1. assign V371842 = V590148. assign V837474 = V247636 + 1. assign V780436 = V184507 + 1. assign V092942 = V324370 + 1. assign V244767 = V174150. assign V514193 = V780436 + 1. assign V583374 = V184507 + 1. assign V395775 = V032246 + 1. assign V051424 = V848052 - 1. assign V559889 = V735290 - 1. assign V216465 = V909779 - 1. assign V859789 = V969622 - 1. assign V888571 = V673580 + 1. assign V322847 = V274818. assign V635530 = V859789 - 1. assign V686209 = V184507 + 1. assign V676711 = V973034. assign V017116 = V109088. assign V403934 = V420838. assign V123139 = V092942. assign V263412 = V848052 - 1. assign V059567 = V032246. assign V873638 = V673580. assign V673365 = V086992. assign V799168 = V673580 + 1. assign V274818 = V873638 + 1. assign V702045 = V607935 - 1. assign V542059 = V899783 + 1. assign V039581 = V802121 + 1. assign V735294 = V873638. assign V309092 = V337868 + 1. assign V015595 = V676711. assign V690952 = V223953 - 1. assign V382113 = V263412 - 1. assign V486286 = V841383 - 1. assign V816497 = V607935 - 1. assign V101416 = V819534 - 1. assign V770983 = V509307 - 1. assign V832184 = V873638. assign V509465 = V067121 + 1. assign V527316 = V987737 + 1. assign V703774 = V451377 - 1. assign V223953 = V066639. assign V356785 = V799168 + 1. assign V969622 = V386034. assign V174513 = V607935 + 1. assign V184732 = V167256. assign V172242 = V597306. assign V336065 = V356785. assign V830217 = V432799. assign V940367 = V017116 + 1. assign V207508 = V987573. assign V055541 = V059567. assign V689033 = V363604. assign V815436 = V410044 - 1. assign V714950 = V816497 - 1. assign V819534 = V874527 + 1. assign V410044 = V104333 - 1. assign V266773 = V395344 + 1. assign V363604 = V032246 - 1. assign V460012 = V172242 - 1. assign V909779 = V337868 - 1. assign V929244 = V375985 - 1. assign V324000 = V382113. assign V539714 = V420838 + 1. assign V516899 = V104333 - 1. assign V911014 = V167256 + 1. assign V348795 = V628977 - 1. assign V549453 = V337868. assign V183769 = V607935 + 1. assign V109088 = V516899 - 1. assign V673822 = V420623 + 1. assign V403289 = V395344. assign V609979 = V542059 - 1. assign V104333 = V899783 - 1. assign V485794 = V092942 - 1. assign V269401 = V442983. assign V104859 = V859789. assign V120980 = V386034 - 1. assign V442983 = V358189. assign V444088 = V263412 - 1. assign V802121 = V491703. assign V735290 = V051424 + 1. assign V491703 = V934869 - 1. assign V140197 = V899783 - 1. assign V343292 = 2. assign V220096 = V628977 + 1. assign V973034 = V348795 - 1. assign V532302 = V456786. assign V851019 = V060177. assign V899783 = V673580 + 1. assign V944243 = V909779 + 1. assign V420623 = V549453 + 1. assign V086992 = V137942 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV343292 = 2;\n\nFrom these direct assignment(s), we have: \nV581529 = V343292 + 1 = 2 + 1 =3;\nNo other variables can be derived from V581529;\nNo other variables can be derived from V343292;\n\nNow we have done all the calculations. Derived variables are:\nV343292 = 2;\nV581529 = 3;\n\nNow we have finished this problem. ANSWER:\nV581529\n", "role": "assistant" } ]

[ "V204932" ]

[ { "content": "<context>\nassign V590714 = V778897 - 1. assign V001957 = V331701 + 1. assign V056372 = V544927. assign V479382 = V202179. assign V243732 = V341686. assign V486661 = V416916. assign V742741 = V390022 + 1. assign V850089 = V313546 + 1. assign V921771 = V392686. assign V349774 = V082355 - 1. assign V313546 = V921771. assign V286672 = V882235 + 1. assign V054437 = V277814 - 1. assign V892491 = V480781. assign V194448 = V481360. assign V996820 = V299849. assign V061465 = V933177. assign V013613 = V065906. assign V217397 = V455583 - 1. assign V134933 = V143373. assign V059187 = V794595. assign V830949 = V572224 - 1. assign V389955 = V277814 + 1. assign V481360 = V333320 + 1. assign V832184 = V651061 + 1. assign V278533 = V506520 + 1. assign V905589 = V830949. assign V390022 = V933177 - 1. assign V997070 = V480781 + 1. assign V933177 = V177094 - 1. assign V682019 = V386617 - 1. assign V732826 = V177094 - 1. assign V906669 = V855124 + 1. assign V874806 = V465735 - 1. assign V651061 = V284271. assign V147005 = V277814. assign V684755 = V778897. assign V450363 = V217397. assign V432242 = V159477 + 1. assign V001620 = V177094 - 1. assign V399599 = V481360 - 1. assign V346899 = V224993 - 1. assign V215842 = V647036. assign V293686 = V386617 - 1. assign V554490 = V850089. assign V812132 = V855124 - 1. assign V465735 = V386617 - 1. assign V251092 = V506520 - 1. assign V776568 = V480781. assign V276748 = V396848 + 1. assign V722646 = V177094 - 1. assign V331701 = V506520 + 1. assign V783069 = V634460 - 1. assign V647036 = V105916 - 1. assign V879776 = V480781 + 1. assign V882235 = V801110 + 1. assign V416916 = V105916 - 1. assign V778897 = V185818. assign V284505 = V065906 - 1. assign V266479 = V147005. assign V185818 = V333320. assign V202179 = V921771. assign V798010 = V855124. assign V317677 = V539496. assign V082355 = V506520 + 1. assign V447685 = V732826 - 1. assign V105916 = V392686. assign V355143 = V202179 + 1. assign V896972 = V634460 - 1. assign V506734 = V579652 - 1. assign V132490 = V105916. assign V254577 = V647036 + 1. assign V616197 = V143373. assign V285342 = V921771. assign V261584 = V787741. assign V668590 = V506520. assign V480781 = V341686. assign V400733 = V286672 - 1. assign V297685 = V590714 - 1. assign V074493 = V805435 - 1. assign V787741 = V313478. assign V136074 = V001957. assign V088163 = V392686 - 1. assign V976807 = V651363. assign V747485 = V158165 - 1. assign V054688 = V355143. assign V177735 = V682019. assign V159477 = V794595. assign V799085 = V480781. assign V470810 = V616197 - 1. assign V462148 = V013613 - 1. assign V634460 = V355143 - 1. assign V306684 = V299849 - 1. assign V284271 = V277814 + 1. assign V158165 = V185818 - 1. assign V386617 = V392686 - 1. assign V522695 = V243732 + 1. assign V333320 = V392686. assign V741686 = V706597 - 1. assign V706597 = V298463 + 1. assign V143373 = V506520. assign V884278 = V794595. assign V674946 = V074493 + 1. assign V393915 = V141879 + 1. assign V955666 = V682019. assign V366202 = V506520. assign V994246 = V194985 - 1. assign V805435 = V392686. assign V632172 = V277814. assign V191620 = V480781 + 1. assign V651363 = V432242. assign V744431 = V366202 + 1. assign V706342 = V377755 - 1. assign V751981 = V136074 - 1. assign V163174 = V030998 - 1. assign V304477 = V001957. assign V923628 = V297685 + 1. assign V377755 = V224993. assign V194848 = V001957 - 1. assign V009493 = V805435 - 1. assign V715939 = V147005. assign V029956 = V694682 + 1. assign V842115 = V355143 + 1. assign V396848 = V327301 + 1. assign V277814 = V243732 + 1. assign V647926 = V830949 + 1. assign V303069 = V341686 - 1. assign V495628 = V284505. assign V136471 = 10. assign V299849 = V647036 - 1. assign V581499 = V479382. assign V431563 = V341686. assign V506437 = V303069 - 1. assign V047705 = V647036. assign V313478 = V159477. assign V065906 = V465735 + 1. assign V714123 = V416916. assign V204932 = V136471 + 1. assign V651997 = V506520. assign V506520 = V341686 - 1. assign V311200 = V647036 + 1. assign V526178 = V348368 + 1. assign V262862 = V392686 - 1. assign V539496 = V243732. assign V141879 = V392686 - 1. assign V794595 = V277814. assign V168739 = V882235. assign V572224 = V306684 - 1. assign V348368 = V778897. assign V743661 = V333320 - 1. assign V455583 = V333320 + 1. assign V855124 = V465735. assign V694682 = V224993 + 1. assign V473496 = V065906. assign V797031 = V495628. assign V544927 = V333320 + 1. assign V763552 = V243732 - 1. assign V868109 = V732826. assign V341686 = V392686 - 1. assign V298463 = V284271 + 1. assign V272719 = V243732 + 1. assign V801110 = V132490. assign V352107 = V706597 + 1. assign V224993 = V486661 - 1. assign V143327 = V874806 - 1. assign V030998 = V392686 + 1. assign V327301 = V743661 + 1. assign V021711 = V479382 - 1. assign V177094 = V480781. assign V579652 = V284505 + 1. assign V194985 = V616197. assign V590297 = V763552 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V590714 = V778897 - 1. assign V001957 = V331701 + 1. assign V056372 = V544927. assign V479382 = V202179. assign V243732 = V341686. assign V486661 = V416916. assign V742741 = V390022 + 1. assign V850089 = V313546 + 1. assign V921771 = V392686. assign V349774 = V082355 - 1. assign V313546 = V921771. assign V286672 = V882235 + 1. assign V054437 = V277814 - 1. assign V892491 = V480781. assign V194448 = V481360. assign V996820 = V299849. assign V061465 = V933177. assign V013613 = V065906. assign V217397 = V455583 - 1. assign V134933 = V143373. assign V059187 = V794595. assign V830949 = V572224 - 1. assign V389955 = V277814 + 1. assign V481360 = V333320 + 1. assign V832184 = V651061 + 1. assign V278533 = V506520 + 1. assign V905589 = V830949. assign V390022 = V933177 - 1. assign V997070 = V480781 + 1. assign V933177 = V177094 - 1. assign V682019 = V386617 - 1. assign V732826 = V177094 - 1. assign V906669 = V855124 + 1. assign V874806 = V465735 - 1. assign V651061 = V284271. assign V147005 = V277814. assign V684755 = V778897. assign V450363 = V217397. assign V432242 = V159477 + 1. assign V001620 = V177094 - 1. assign V399599 = V481360 - 1. assign V346899 = V224993 - 1. assign V215842 = V647036. assign V293686 = V386617 - 1. assign V554490 = V850089. assign V812132 = V855124 - 1. assign V465735 = V386617 - 1. assign V251092 = V506520 - 1. assign V776568 = V480781. assign V276748 = V396848 + 1. assign V722646 = V177094 - 1. assign V331701 = V506520 + 1. assign V783069 = V634460 - 1. assign V647036 = V105916 - 1. assign V879776 = V480781 + 1. assign V882235 = V801110 + 1. assign V416916 = V105916 - 1. assign V778897 = V185818. assign V284505 = V065906 - 1. assign V266479 = V147005. assign V185818 = V333320. assign V202179 = V921771. assign V798010 = V855124. assign V317677 = V539496. assign V082355 = V506520 + 1. assign V447685 = V732826 - 1. assign V105916 = V392686. assign V355143 = V202179 + 1. assign V896972 = V634460 - 1. assign V506734 = V579652 - 1. assign V132490 = V105916. assign V254577 = V647036 + 1. assign V616197 = V143373. assign V285342 = V921771. assign V261584 = V787741. assign V668590 = V506520. assign V480781 = V341686. assign V400733 = V286672 - 1. assign V297685 = V590714 - 1. assign V074493 = V805435 - 1. assign V787741 = V313478. assign V136074 = V001957. assign V088163 = V392686 - 1. assign V976807 = V651363. assign V747485 = V158165 - 1. assign V054688 = V355143. assign V177735 = V682019. assign V159477 = V794595. assign V799085 = V480781. assign V470810 = V616197 - 1. assign V462148 = V013613 - 1. assign V634460 = V355143 - 1. assign V306684 = V299849 - 1. assign V284271 = V277814 + 1. assign V158165 = V185818 - 1. assign V386617 = V392686 - 1. assign V522695 = V243732 + 1. assign V333320 = V392686. assign V741686 = V706597 - 1. assign V706597 = V298463 + 1. assign V143373 = V506520. assign V884278 = V794595. assign V674946 = V074493 + 1. assign V393915 = V141879 + 1. assign V955666 = V682019. assign V366202 = V506520. assign V994246 = V194985 - 1. assign V805435 = V392686. assign V632172 = V277814. assign V191620 = V480781 + 1. assign V651363 = V432242. assign V744431 = V366202 + 1. assign V706342 = V377755 - 1. assign V751981 = V136074 - 1. assign V163174 = V030998 - 1. assign V304477 = V001957. assign V923628 = V297685 + 1. assign V377755 = V224993. assign V194848 = V001957 - 1. assign V009493 = V805435 - 1. assign V715939 = V147005. assign V029956 = V694682 + 1. assign V842115 = V355143 + 1. assign V396848 = V327301 + 1. assign V277814 = V243732 + 1. assign V647926 = V830949 + 1. assign V303069 = V341686 - 1. assign V495628 = V284505. assign V136471 = 10. assign V299849 = V647036 - 1. assign V581499 = V479382. assign V431563 = V341686. assign V506437 = V303069 - 1. assign V047705 = V647036. assign V313478 = V159477. assign V065906 = V465735 + 1. assign V714123 = V416916. assign V204932 = V136471 + 1. assign V651997 = V506520. assign V506520 = V341686 - 1. assign V311200 = V647036 + 1. assign V526178 = V348368 + 1. assign V262862 = V392686 - 1. assign V539496 = V243732. assign V141879 = V392686 - 1. assign V794595 = V277814. assign V168739 = V882235. assign V572224 = V306684 - 1. assign V348368 = V778897. assign V743661 = V333320 - 1. assign V455583 = V333320 + 1. assign V855124 = V465735. assign V694682 = V224993 + 1. assign V473496 = V065906. assign V797031 = V495628. assign V544927 = V333320 + 1. assign V763552 = V243732 - 1. assign V868109 = V732826. assign V341686 = V392686 - 1. assign V298463 = V284271 + 1. assign V272719 = V243732 + 1. assign V801110 = V132490. assign V352107 = V706597 + 1. assign V224993 = V486661 - 1. assign V143327 = V874806 - 1. assign V030998 = V392686 + 1. assign V327301 = V743661 + 1. assign V021711 = V479382 - 1. assign V177094 = V480781. assign V579652 = V284505 + 1. assign V194985 = V616197. assign V590297 = V763552 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV136471 = 10;\n\nFrom these direct assignment(s), we have: \nV204932 = V136471 + 1 = 10 + 1 =11;\nNo other variables can be derived from V204932;\nNo other variables can be derived from V136471;\n\nNow we have done all the calculations. Derived variables are:\nV136471 = 10;\nV204932 = 11;\n\nNow we have finished this problem. ANSWER:\nV204932\n", "role": "assistant" } ]

[ "V399189" ]

[ { "content": "<context>\nassign V078486 = V280566. assign V074154 = V980813 - 1. assign V005723 = V097627 + 1. assign V224810 = V453282 + 1. assign V944662 = V235319 - 1. assign V968023 = V512416. assign V733628 = V280566 - 1. assign V905221 = V353496 - 1. assign V960301 = V143409 + 1. assign V922342 = V542305. assign V133707 = V152328 + 1. assign V417242 = V679782 - 1. assign V768606 = V399189 - 1. assign V120521 = V193828 - 1. assign V239437 = V980813 + 1. assign V824961 = V325606 + 1. assign V582280 = V528352. assign V301532 = V683330. assign V595447 = V006538 + 1. assign V278869 = V893436. assign V594812 = V528352. assign V399550 = V417242 + 1. assign V152172 = V753946. assign V542305 = V901700. assign V616915 = V143409. assign V893436 = V975704. assign V985461 = V155563 + 1. assign V978095 = V679782 + 1. assign V353496 = V377086 + 1. assign V735136 = V746421. assign V783192 = V066313 - 1. assign V304338 = V377086 + 1. assign V453282 = V683330 - 1. assign V801471 = V214836 - 1. assign V155314 = V006567. assign V604854 = V453282. assign V650006 = V412267. assign V783738 = V774881. assign V001813 = V989296. assign V089130 = V807865 - 1. assign V828196 = V323706. assign V212913 = V753964. assign V061149 = V453282 + 1. assign V738028 = V753964 + 1. assign V769441 = V061149 + 1. assign V476820 = V287500 + 1. assign V973661 = V083343. assign V606973 = V280566 + 1. assign V280566 = V906606. assign V975704 = V443946 - 1. assign V228371 = V287500. assign V960632 = V364371 + 1. assign V022785 = V287500. assign V490711 = V980813. assign V512416 = V907332 + 1. assign V829119 = V858123. assign V755998 = V349401 + 1. assign V455848 = V504411 + 1. assign V577748 = V155563. assign V510628 = V383520. assign V716855 = V768742. assign V906606 = V683330 + 1. assign V287500 = V842052 - 1. assign V394305 = V444155 - 1. assign V677241 = V738028 + 1. assign V753946 = V349401 - 1. assign V892134 = V083343 + 1. assign V155563 = V683330. assign V193828 = V155563. assign V006567 = V323706 - 1. assign V214836 = V634891 + 1. assign V244289 = V960301 + 1. assign V491292 = V920575. assign V679782 = V577748. assign V853052 = V109321 - 1. assign V462707 = V896395 - 1. assign V835189 = V842052 + 1. assign V325606 = V901700. assign V491346 = V443946. assign V126508 = V774881 + 1. assign V436630 = V717035. assign V858123 = V604854 + 1. assign V349401 = V528352. assign V532232 = V193828 - 1. assign V284200 = V491346 + 1. assign V774881 = V759139. assign V717035 = V066313 + 1. assign V921140 = V807865 - 1. assign V528352 = V155563 - 1. assign V444155 = V453282 - 1. assign V427742 = V001813 + 1. assign V073153 = V679782. assign V504411 = V646340 - 1. assign V084681 = V769500 - 1. assign V232772 = V646340 - 1. assign V004941 = V738028 - 1. assign V323706 = V417242 + 1. assign V661137 = V278869 - 1. assign V688241 = V287500 - 1. assign V383520 = V301532 + 1. assign V664760 = V738028 - 1. assign V924014 = V985461. assign V807865 = V759139 - 1. assign V455006 = V978095. assign V183515 = V893436. assign V907332 = V582280 - 1. assign V913672 = V924014. assign V683330 = V066313 - 1. assign V108423 = V482775. assign V556790 = V738028 - 1. assign V443946 = V528352 + 1. assign V482775 = V646340 - 1. assign V759139 = V683330 + 1. assign V868584 = V504411 - 1. assign V933802 = V228371. assign V591272 = V577748 - 1. assign V540657 = V716855. assign V753964 = V078486 + 1. assign V182765 = V960632. assign V377086 = V323706. assign V235319 = V510628. assign V116600 = V989296 - 1. assign V769500 = V683330 - 1. assign V739801 = V228371 + 1. assign V164649 = V228371 + 1. assign V109321 = V455848 + 1. assign V086136 = V504411 - 1. assign V634891 = V769441. assign V366231 = V280566. assign V140754 = V304338 - 1. assign V793634 = V683330 + 1. assign V871010 = V595447 - 1. assign V842052 = V280566 - 1. assign V006538 = V582280 - 1. assign V746421 = V582280. assign V768742 = V482775 - 1. assign V042561 = V634891 - 1. assign V033349 = V152328 + 1. assign V411944 = V061149. assign V364371 = V646340 - 1. assign V399189 = 3. assign V097627 = V922342. assign V646340 = V528352. assign V388979 = V920575 + 1. assign V684640 = V006538 - 1. assign V316199 = V677241. assign V919684 = V504411 + 1. assign V917655 = V768742 - 1. assign V178688 = V920575. assign V841596 = V388979 + 1. assign V124995 = V746421 - 1. assign V950618 = V073153. assign V171505 = V377086. assign V017580 = V164649. assign V340463 = V975704 + 1. assign V431336 = V455006 - 1. assign V989296 = V604854 + 1. assign V306985 = V532232 - 1. assign V980813 = V532232 + 1. assign V083343 = V482775 + 1. assign V697801 = V349401. assign V152328 = V232772 - 1. assign V896395 = V431336 - 1. assign V901700 = V774881. assign V634740 = V083343 - 1. assign V143409 = V006538. assign V706398 = V316199. assign V955782 = V455848 - 1. assign V030012 = V985461 - 1. assign V920575 = V738028. assign V412267 = V604854 + 1. assign V837736 = V917655.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V078486 = V280566. assign V074154 = V980813 - 1. assign V005723 = V097627 + 1. assign V224810 = V453282 + 1. assign V944662 = V235319 - 1. assign V968023 = V512416. assign V733628 = V280566 - 1. assign V905221 = V353496 - 1. assign V960301 = V143409 + 1. assign V922342 = V542305. assign V133707 = V152328 + 1. assign V417242 = V679782 - 1. assign V768606 = V399189 - 1. assign V120521 = V193828 - 1. assign V239437 = V980813 + 1. assign V824961 = V325606 + 1. assign V582280 = V528352. assign V301532 = V683330. assign V595447 = V006538 + 1. assign V278869 = V893436. assign V594812 = V528352. assign V399550 = V417242 + 1. assign V152172 = V753946. assign V542305 = V901700. assign V616915 = V143409. assign V893436 = V975704. assign V985461 = V155563 + 1. assign V978095 = V679782 + 1. assign V353496 = V377086 + 1. assign V735136 = V746421. assign V783192 = V066313 - 1. assign V304338 = V377086 + 1. assign V453282 = V683330 - 1. assign V801471 = V214836 - 1. assign V155314 = V006567. assign V604854 = V453282. assign V650006 = V412267. assign V783738 = V774881. assign V001813 = V989296. assign V089130 = V807865 - 1. assign V828196 = V323706. assign V212913 = V753964. assign V061149 = V453282 + 1. assign V738028 = V753964 + 1. assign V769441 = V061149 + 1. assign V476820 = V287500 + 1. assign V973661 = V083343. assign V606973 = V280566 + 1. assign V280566 = V906606. assign V975704 = V443946 - 1. assign V228371 = V287500. assign V960632 = V364371 + 1. assign V022785 = V287500. assign V490711 = V980813. assign V512416 = V907332 + 1. assign V829119 = V858123. assign V755998 = V349401 + 1. assign V455848 = V504411 + 1. assign V577748 = V155563. assign V510628 = V383520. assign V716855 = V768742. assign V906606 = V683330 + 1. assign V287500 = V842052 - 1. assign V394305 = V444155 - 1. assign V677241 = V738028 + 1. assign V753946 = V349401 - 1. assign V892134 = V083343 + 1. assign V155563 = V683330. assign V193828 = V155563. assign V006567 = V323706 - 1. assign V214836 = V634891 + 1. assign V244289 = V960301 + 1. assign V491292 = V920575. assign V679782 = V577748. assign V853052 = V109321 - 1. assign V462707 = V896395 - 1. assign V835189 = V842052 + 1. assign V325606 = V901700. assign V491346 = V443946. assign V126508 = V774881 + 1. assign V436630 = V717035. assign V858123 = V604854 + 1. assign V349401 = V528352. assign V532232 = V193828 - 1. assign V284200 = V491346 + 1. assign V774881 = V759139. assign V717035 = V066313 + 1. assign V921140 = V807865 - 1. assign V528352 = V155563 - 1. assign V444155 = V453282 - 1. assign V427742 = V001813 + 1. assign V073153 = V679782. assign V504411 = V646340 - 1. assign V084681 = V769500 - 1. assign V232772 = V646340 - 1. assign V004941 = V738028 - 1. assign V323706 = V417242 + 1. assign V661137 = V278869 - 1. assign V688241 = V287500 - 1. assign V383520 = V301532 + 1. assign V664760 = V738028 - 1. assign V924014 = V985461. assign V807865 = V759139 - 1. assign V455006 = V978095. assign V183515 = V893436. assign V907332 = V582280 - 1. assign V913672 = V924014. assign V683330 = V066313 - 1. assign V108423 = V482775. assign V556790 = V738028 - 1. assign V443946 = V528352 + 1. assign V482775 = V646340 - 1. assign V759139 = V683330 + 1. assign V868584 = V504411 - 1. assign V933802 = V228371. assign V591272 = V577748 - 1. assign V540657 = V716855. assign V753964 = V078486 + 1. assign V182765 = V960632. assign V377086 = V323706. assign V235319 = V510628. assign V116600 = V989296 - 1. assign V769500 = V683330 - 1. assign V739801 = V228371 + 1. assign V164649 = V228371 + 1. assign V109321 = V455848 + 1. assign V086136 = V504411 - 1. assign V634891 = V769441. assign V366231 = V280566. assign V140754 = V304338 - 1. assign V793634 = V683330 + 1. assign V871010 = V595447 - 1. assign V842052 = V280566 - 1. assign V006538 = V582280 - 1. assign V746421 = V582280. assign V768742 = V482775 - 1. assign V042561 = V634891 - 1. assign V033349 = V152328 + 1. assign V411944 = V061149. assign V364371 = V646340 - 1. assign V399189 = 3. assign V097627 = V922342. assign V646340 = V528352. assign V388979 = V920575 + 1. assign V684640 = V006538 - 1. assign V316199 = V677241. assign V919684 = V504411 + 1. assign V917655 = V768742 - 1. assign V178688 = V920575. assign V841596 = V388979 + 1. assign V124995 = V746421 - 1. assign V950618 = V073153. assign V171505 = V377086. assign V017580 = V164649. assign V340463 = V975704 + 1. assign V431336 = V455006 - 1. assign V989296 = V604854 + 1. assign V306985 = V532232 - 1. assign V980813 = V532232 + 1. assign V083343 = V482775 + 1. assign V697801 = V349401. assign V152328 = V232772 - 1. assign V896395 = V431336 - 1. assign V901700 = V774881. assign V634740 = V083343 - 1. assign V143409 = V006538. assign V706398 = V316199. assign V955782 = V455848 - 1. assign V030012 = V985461 - 1. assign V920575 = V738028. assign V412267 = V604854 + 1. assign V837736 = V917655.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV399189 = 3;\n\nFrom these direct assignment(s), we have: \nV768606 = V399189 - 1 = 3 - 1 =2;\nNo other variables can be derived from V768606;\nNo other variables can be derived from V399189;\n\nNow we have done all the calculations. Derived variables are:\nV399189 = 3;\nV768606 = 2;\n\nNow we have finished this problem. ANSWER:\nV399189\n", "role": "assistant" } ]

[ "V737723" ]

[ { "content": "<context>\nassign V793147 = V319832. assign V505239 = V212087. assign V895741 = V497965. assign V258242 = V024422. assign V603406 = V394629 + 1. assign V614499 = V681579 + 1. assign V290423 = V426622 - 1. assign V707543 = V996411 + 1. assign V635081 = V656312. assign V161479 = V407900. assign V428683 = V262977 + 1. assign V134316 = V699550 + 1. assign V064470 = V525146 + 1. assign V497965 = V024422. assign V400088 = V497965. assign V660247 = V738751 + 1. assign V834207 = V174396 + 1. assign V301760 = V535346 - 1. assign V432817 = V801051 + 1. assign V066399 = V028771 + 1. assign V341095 = V857184 + 1. assign V809778 = V628400 + 1. assign V070235 = V231523 - 1. assign V801051 = V224534 + 1. assign V939442 = V535228 - 1. assign V224534 = V603406. assign V747746 = V857184 + 1. assign V981833 = V996411. assign V319832 = V628400 - 1. assign V264295 = V996411 - 1. assign V342719 = V319832 - 1. assign V184036 = V273221. assign V073575 = V806761. assign V929169 = V853199 - 1. assign V728424 = V609212. assign V956478 = V164933. assign V728169 = V603406 - 1. assign V510421 = V799503. assign V586249 = V224534. assign V724527 = V252551 + 1. assign V520670 = V730904. assign V217516 = V567658 + 1. assign V574305 = V812130 + 1. assign V635660 = V497965 - 1. assign V121424 = V522143 - 1. assign V600124 = V399296 - 1. assign V212087 = V928461. assign V939987 = V028771 - 1. assign V174396 = V328234. assign V465561 = V635081 + 1. assign V096623 = V328234. assign V839755 = V600124 + 1. assign V810906 = V451828 + 1. assign V058354 = V319832 + 1. assign V628400 = V199881 - 1. assign V199881 = V451828 + 1. assign V812130 = V801051. assign V529533 = V525146 - 1. assign V730904 = V400088. assign V451828 = V529533 - 1. assign V786995 = V651996. assign V177828 = V996411. assign V928461 = V394629 - 1. assign V043196 = V070235 + 1. assign V494253 = V028771. assign V426622 = V394629. assign V028771 = V022571 + 1. assign V136632 = V301760 - 1. assign V437603 = V015981. assign V535228 = V600124. assign V651996 = V707543 + 1. assign V551061 = V127392 + 1. assign V956894 = V747746. assign V328234 = V857184. assign V738751 = V177828. assign V407900 = V505239. assign V766637 = V443944 - 1. assign V415209 = V177828 - 1. assign V447841 = V574305. assign V175857 = V262977 + 1. assign V443944 = V857184 + 1. assign V388576 = V337420 + 1. assign V746348 = V028771 + 1. assign V609212 = V256172 + 1. assign V799503 = V929169 + 1. assign V262977 = V024422 + 1. assign V971323 = V453999. assign V080924 = V443944 - 1. assign V263665 = V453999 + 1. assign V634050 = V550955 + 1. assign V645620 = V651996 + 1. assign V737723 = 5. assign V109089 = V319832 + 1. assign V656312 = V267290. assign V853199 = V931521 - 1. assign V857184 = V451193 - 1. assign V377788 = V451193. assign V759501 = V478776 - 1. assign V296674 = V231523. assign V653977 = V628400 + 1. assign V138783 = V806761 + 1. assign V164933 = V810906. assign V931521 = V177828 + 1. assign V127392 = V175857 - 1. assign V974756 = V759501 - 1. assign V451193 = V199881 + 1. assign V901027 = V918274 + 1. assign V806761 = V199881. assign V683076 = V653977. assign V960359 = V109089 + 1. assign V996411 = V857184 + 1. assign V299169 = V747746. assign V464563 = V716383 + 1. assign V256172 = V749137. assign V230973 = V810906. assign V870342 = V109089 + 1. assign V024422 = V451828 + 1. assign V522143 = V028771 + 1. assign V273221 = V635660 + 1. assign V252551 = V525146. assign V804073 = V738751. assign V486288 = V199881 - 1. assign V699550 = V024422 + 1. assign V535346 = V426622 - 1. assign V848046 = V377788 + 1. assign V501556 = V653977 + 1. assign V124656 = V273221. assign V225129 = V066399 + 1. assign V519577 = V497965. assign V399296 = V724527 + 1. assign V015981 = V451828 - 1. assign V476245 = V231523. assign V567658 = V853199 - 1. assign V716383 = V066399. assign V430174 = V749137 + 1. assign V453999 = V262977. assign V012317 = V184036 - 1. assign V227221 = V291329 - 1. assign V291329 = V262977 - 1. assign V091942 = V070235 + 1. assign V022571 = V747746. assign V363864 = V987963 - 1. assign V585858 = V635660 - 1. assign V550955 = V681579 + 1. assign V452487 = V603406 + 1. assign V337420 = V982540 + 1. assign V849745 = V256172. assign V066314 = V058354. assign V749137 = V486288 - 1. assign V795193 = V653977 - 1. assign V806592 = V230973. assign V648249 = V070235 + 1. assign V536892 = V263665 + 1. assign V681579 = V252551 - 1. assign V982540 = V341095 + 1. assign V030621 = V586249. assign V110961 = V535346. assign V910601 = V377788 + 1. assign V230286 = V267290 + 1. assign V918274 = V070235 - 1. assign V557623 = V747746 - 1. assign V068009 = V737723 + 1. assign V231523 = V660247 + 1. assign V905540 = V252551. assign V394629 = V529533 + 1. assign V028104 = V328234. assign V376563 = V337420 - 1. assign V422411 = V164933. assign V997439 = V928461 - 1. assign V478776 = V653977. assign V267290 = V328234. assign V987963 = V138783.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V793147 = V319832. assign V505239 = V212087. assign V895741 = V497965. assign V258242 = V024422. assign V603406 = V394629 + 1. assign V614499 = V681579 + 1. assign V290423 = V426622 - 1. assign V707543 = V996411 + 1. assign V635081 = V656312. assign V161479 = V407900. assign V428683 = V262977 + 1. assign V134316 = V699550 + 1. assign V064470 = V525146 + 1. assign V497965 = V024422. assign V400088 = V497965. assign V660247 = V738751 + 1. assign V834207 = V174396 + 1. assign V301760 = V535346 - 1. assign V432817 = V801051 + 1. assign V066399 = V028771 + 1. assign V341095 = V857184 + 1. assign V809778 = V628400 + 1. assign V070235 = V231523 - 1. assign V801051 = V224534 + 1. assign V939442 = V535228 - 1. assign V224534 = V603406. assign V747746 = V857184 + 1. assign V981833 = V996411. assign V319832 = V628400 - 1. assign V264295 = V996411 - 1. assign V342719 = V319832 - 1. assign V184036 = V273221. assign V073575 = V806761. assign V929169 = V853199 - 1. assign V728424 = V609212. assign V956478 = V164933. assign V728169 = V603406 - 1. assign V510421 = V799503. assign V586249 = V224534. assign V724527 = V252551 + 1. assign V520670 = V730904. assign V217516 = V567658 + 1. assign V574305 = V812130 + 1. assign V635660 = V497965 - 1. assign V121424 = V522143 - 1. assign V600124 = V399296 - 1. assign V212087 = V928461. assign V939987 = V028771 - 1. assign V174396 = V328234. assign V465561 = V635081 + 1. assign V096623 = V328234. assign V839755 = V600124 + 1. assign V810906 = V451828 + 1. assign V058354 = V319832 + 1. assign V628400 = V199881 - 1. assign V199881 = V451828 + 1. assign V812130 = V801051. assign V529533 = V525146 - 1. assign V730904 = V400088. assign V451828 = V529533 - 1. assign V786995 = V651996. assign V177828 = V996411. assign V928461 = V394629 - 1. assign V043196 = V070235 + 1. assign V494253 = V028771. assign V426622 = V394629. assign V028771 = V022571 + 1. assign V136632 = V301760 - 1. assign V437603 = V015981. assign V535228 = V600124. assign V651996 = V707543 + 1. assign V551061 = V127392 + 1. assign V956894 = V747746. assign V328234 = V857184. assign V738751 = V177828. assign V407900 = V505239. assign V766637 = V443944 - 1. assign V415209 = V177828 - 1. assign V447841 = V574305. assign V175857 = V262977 + 1. assign V443944 = V857184 + 1. assign V388576 = V337420 + 1. assign V746348 = V028771 + 1. assign V609212 = V256172 + 1. assign V799503 = V929169 + 1. assign V262977 = V024422 + 1. assign V971323 = V453999. assign V080924 = V443944 - 1. assign V263665 = V453999 + 1. assign V634050 = V550955 + 1. assign V645620 = V651996 + 1. assign V737723 = 5. assign V109089 = V319832 + 1. assign V656312 = V267290. assign V853199 = V931521 - 1. assign V857184 = V451193 - 1. assign V377788 = V451193. assign V759501 = V478776 - 1. assign V296674 = V231523. assign V653977 = V628400 + 1. assign V138783 = V806761 + 1. assign V164933 = V810906. assign V931521 = V177828 + 1. assign V127392 = V175857 - 1. assign V974756 = V759501 - 1. assign V451193 = V199881 + 1. assign V901027 = V918274 + 1. assign V806761 = V199881. assign V683076 = V653977. assign V960359 = V109089 + 1. assign V996411 = V857184 + 1. assign V299169 = V747746. assign V464563 = V716383 + 1. assign V256172 = V749137. assign V230973 = V810906. assign V870342 = V109089 + 1. assign V024422 = V451828 + 1. assign V522143 = V028771 + 1. assign V273221 = V635660 + 1. assign V252551 = V525146. assign V804073 = V738751. assign V486288 = V199881 - 1. assign V699550 = V024422 + 1. assign V535346 = V426622 - 1. assign V848046 = V377788 + 1. assign V501556 = V653977 + 1. assign V124656 = V273221. assign V225129 = V066399 + 1. assign V519577 = V497965. assign V399296 = V724527 + 1. assign V015981 = V451828 - 1. assign V476245 = V231523. assign V567658 = V853199 - 1. assign V716383 = V066399. assign V430174 = V749137 + 1. assign V453999 = V262977. assign V012317 = V184036 - 1. assign V227221 = V291329 - 1. assign V291329 = V262977 - 1. assign V091942 = V070235 + 1. assign V022571 = V747746. assign V363864 = V987963 - 1. assign V585858 = V635660 - 1. assign V550955 = V681579 + 1. assign V452487 = V603406 + 1. assign V337420 = V982540 + 1. assign V849745 = V256172. assign V066314 = V058354. assign V749137 = V486288 - 1. assign V795193 = V653977 - 1. assign V806592 = V230973. assign V648249 = V070235 + 1. assign V536892 = V263665 + 1. assign V681579 = V252551 - 1. assign V982540 = V341095 + 1. assign V030621 = V586249. assign V110961 = V535346. assign V910601 = V377788 + 1. assign V230286 = V267290 + 1. assign V918274 = V070235 - 1. assign V557623 = V747746 - 1. assign V068009 = V737723 + 1. assign V231523 = V660247 + 1. assign V905540 = V252551. assign V394629 = V529533 + 1. assign V028104 = V328234. assign V376563 = V337420 - 1. assign V422411 = V164933. assign V997439 = V928461 - 1. assign V478776 = V653977. assign V267290 = V328234. assign V987963 = V138783.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV737723 = 5;\n\nFrom these direct assignment(s), we have: \nV068009 = V737723 + 1 = 5 + 1 =6;\nNo other variables can be derived from V068009;\nNo other variables can be derived from V737723;\n\nNow we have done all the calculations. Derived variables are:\nV737723 = 5;\nV068009 = 6;\n\nNow we have finished this problem. ANSWER:\nV737723\n", "role": "assistant" } ]

[ "V900050" ]

[ { "content": "<context>\nassign V658097 = V408959. assign V372289 = V408959 - 1. assign V865851 = V393734. assign V727596 = V231170. assign V926127 = V313264 + 1. assign V943446 = V122811 + 1. assign V941147 = V155694 - 1. assign V278315 = V167679 - 1. assign V495818 = V415066. assign V550168 = V337038 + 1. assign V868875 = V485629 - 1. assign V643752 = V363658 - 1. assign V727873 = V482468 - 1. assign V909544 = V980560 - 1. assign V283444 = V193646. assign V670935 = V929070 - 1. assign V167679 = V400968 + 1. assign V392526 = V447015 - 1. assign V485629 = V302496. assign V725587 = V167679 - 1. assign V313264 = V341322. assign V319495 = V576559 - 1. assign V824328 = V261470 - 1. assign V295721 = V495818 + 1. assign V202928 = V167679 - 1. assign V663602 = V393734 + 1. assign V393734 = V364391. assign V341322 = V400968 + 1. assign V444072 = V776826 - 1. assign V226163 = V408959. assign V436061 = V364391 + 1. assign V952710 = V245004. assign V068197 = V541863 - 1. assign V875745 = V393734 + 1. assign V220329 = V167679. assign V696375 = V014873. assign V523587 = V684805 - 1. assign V893448 = 5. assign V408959 = V355746 - 1. assign V424972 = V014873 + 1. assign V048261 = V747721 + 1. assign V114875 = V650442. assign V684805 = V173286 + 1. assign V261470 = V334002 - 1. assign V043420 = V284933 - 1. assign V049504 = V776826 - 1. assign V175847 = V794820 + 1. assign V403393 = V804692. assign V888494 = V482468 - 1. assign V907740 = V334002 - 1. assign V400968 = V929070. assign V302496 = V393734 - 1. assign V526400 = V393734. assign V113243 = V194873 + 1. assign V858766 = V727873. assign V062741 = V314731. assign V900050 = V893448 + 1. assign V194676 = V204846. assign V830101 = V858155 - 1. assign V541863 = V580967 - 1. assign V613532 = V325164 + 1. assign V193646 = V526400 - 1. assign V027059 = V941147 - 1. assign V834599 = V355746 - 1. assign V231170 = V341322 + 1. assign V747721 = V406008 - 1. assign V009537 = V408959. assign V066133 = V824328 - 1. assign V008495 = V776826. assign V364391 = V460039. assign V099750 = V335710. assign V825097 = V941147 + 1. assign V026165 = V658097 - 1. assign V443288 = V584445 + 1. assign V119398 = V643752 - 1. assign V173286 = V541374. assign V363658 = V584445 - 1. assign V650442 = V325164. assign V488654 = V980560 + 1. assign V314731 = V663602. assign V123775 = V313264 - 1. assign V245004 = V220329. assign V580967 = V247690 - 1. assign V749996 = V886102 + 1. assign V181296 = V113243 - 1. assign V624657 = V274981. assign V974863 = V868875. assign V224182 = V541374 - 1. assign V246209 = V173286. assign V939869 = V226163 + 1. assign V886102 = V482468 - 1. assign V309804 = V482468 + 1. assign V059425 = V364391 + 1. assign V827504 = V014873 - 1. assign V156413 = V119398. assign V014873 = V155694 - 1. assign V460039 = V584445 - 1. assign V806093 = V541374 - 1. assign V929070 = V355746 - 1. assign V455983 = V295721. assign V380160 = V996170 - 1. assign V334002 = V167679. assign V536329 = V123775 - 1. assign V129690 = V113243 - 1. assign V482595 = V131370 + 1. assign V207494 = V014873 - 1. assign V157022 = V791420 - 1. assign V284933 = V907740 + 1. assign V607712 = V136706 - 1. assign V438282 = V663602 + 1. assign V131370 = V364391. assign V480539 = V173286. assign V194873 = V830101 - 1. assign V415829 = V179238 + 1. assign V155694 = V247690. assign V179238 = V220329 - 1. assign V791420 = V684805 + 1. assign V141251 = V624657 + 1. assign V980560 = V363658. assign V616868 = V400968. assign V274981 = V804692 - 1. assign V136706 = V858155 + 1. assign V564795 = V584445 + 1. assign V122811 = V167679. assign V202025 = V238022. assign V482468 = V302496. assign V278470 = V173286 + 1. assign V327844 = V193646 + 1. assign V247690 = V400968 - 1. assign V216371 = V488654 + 1. assign V335710 = V122811 - 1. assign V911735 = V119398 - 1. assign V077476 = V624657 + 1. assign V337038 = V309804. assign V415066 = V643752. assign V576559 = V980560 + 1. assign V733626 = V278315 - 1. assign V130112 = V886102. assign V166421 = V929070. assign V925841 = V181296. assign V161100 = V068197. assign V584445 = V355746 - 1. assign V355746 = V373813 - 1. assign V794820 = V364391 - 1. assign V058356 = V372289 + 1. assign V557258 = V274981. assign V858155 = V364391. assign V204846 = V122811 - 1. assign V252505 = V403393 + 1. assign V804692 = V974421 + 1. assign V541374 = V364391. assign V710269 = V776826 + 1. assign V849320 = V460039 - 1. assign V116389 = V974863 - 1. assign V350379 = V830101 - 1. assign V996170 = V834599 + 1. assign V102520 = V663602 - 1. assign V234393 = V550168 + 1. assign V163054 = V725587. assign V238022 = V806093. assign V960200 = V136706 + 1. assign V406008 = V580967. assign V280692 = V415066. assign V966974 = V974863. assign V158103 = V438282 - 1. assign V974421 = V309804 + 1. assign V776826 = V400968. assign V095997 = V119398 + 1. assign V447015 = V373813 + 1. assign V325164 = V584445 + 1. assign V728201 = V102520. assign V724576 = V194873.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V658097 = V408959. assign V372289 = V408959 - 1. assign V865851 = V393734. assign V727596 = V231170. assign V926127 = V313264 + 1. assign V943446 = V122811 + 1. assign V941147 = V155694 - 1. assign V278315 = V167679 - 1. assign V495818 = V415066. assign V550168 = V337038 + 1. assign V868875 = V485629 - 1. assign V643752 = V363658 - 1. assign V727873 = V482468 - 1. assign V909544 = V980560 - 1. assign V283444 = V193646. assign V670935 = V929070 - 1. assign V167679 = V400968 + 1. assign V392526 = V447015 - 1. assign V485629 = V302496. assign V725587 = V167679 - 1. assign V313264 = V341322. assign V319495 = V576559 - 1. assign V824328 = V261470 - 1. assign V295721 = V495818 + 1. assign V202928 = V167679 - 1. assign V663602 = V393734 + 1. assign V393734 = V364391. assign V341322 = V400968 + 1. assign V444072 = V776826 - 1. assign V226163 = V408959. assign V436061 = V364391 + 1. assign V952710 = V245004. assign V068197 = V541863 - 1. assign V875745 = V393734 + 1. assign V220329 = V167679. assign V696375 = V014873. assign V523587 = V684805 - 1. assign V893448 = 5. assign V408959 = V355746 - 1. assign V424972 = V014873 + 1. assign V048261 = V747721 + 1. assign V114875 = V650442. assign V684805 = V173286 + 1. assign V261470 = V334002 - 1. assign V043420 = V284933 - 1. assign V049504 = V776826 - 1. assign V175847 = V794820 + 1. assign V403393 = V804692. assign V888494 = V482468 - 1. assign V907740 = V334002 - 1. assign V400968 = V929070. assign V302496 = V393734 - 1. assign V526400 = V393734. assign V113243 = V194873 + 1. assign V858766 = V727873. assign V062741 = V314731. assign V900050 = V893448 + 1. assign V194676 = V204846. assign V830101 = V858155 - 1. assign V541863 = V580967 - 1. assign V613532 = V325164 + 1. assign V193646 = V526400 - 1. assign V027059 = V941147 - 1. assign V834599 = V355746 - 1. assign V231170 = V341322 + 1. assign V747721 = V406008 - 1. assign V009537 = V408959. assign V066133 = V824328 - 1. assign V008495 = V776826. assign V364391 = V460039. assign V099750 = V335710. assign V825097 = V941147 + 1. assign V026165 = V658097 - 1. assign V443288 = V584445 + 1. assign V119398 = V643752 - 1. assign V173286 = V541374. assign V363658 = V584445 - 1. assign V650442 = V325164. assign V488654 = V980560 + 1. assign V314731 = V663602. assign V123775 = V313264 - 1. assign V245004 = V220329. assign V580967 = V247690 - 1. assign V749996 = V886102 + 1. assign V181296 = V113243 - 1. assign V624657 = V274981. assign V974863 = V868875. assign V224182 = V541374 - 1. assign V246209 = V173286. assign V939869 = V226163 + 1. assign V886102 = V482468 - 1. assign V309804 = V482468 + 1. assign V059425 = V364391 + 1. assign V827504 = V014873 - 1. assign V156413 = V119398. assign V014873 = V155694 - 1. assign V460039 = V584445 - 1. assign V806093 = V541374 - 1. assign V929070 = V355746 - 1. assign V455983 = V295721. assign V380160 = V996170 - 1. assign V334002 = V167679. assign V536329 = V123775 - 1. assign V129690 = V113243 - 1. assign V482595 = V131370 + 1. assign V207494 = V014873 - 1. assign V157022 = V791420 - 1. assign V284933 = V907740 + 1. assign V607712 = V136706 - 1. assign V438282 = V663602 + 1. assign V131370 = V364391. assign V480539 = V173286. assign V194873 = V830101 - 1. assign V415829 = V179238 + 1. assign V155694 = V247690. assign V179238 = V220329 - 1. assign V791420 = V684805 + 1. assign V141251 = V624657 + 1. assign V980560 = V363658. assign V616868 = V400968. assign V274981 = V804692 - 1. assign V136706 = V858155 + 1. assign V564795 = V584445 + 1. assign V122811 = V167679. assign V202025 = V238022. assign V482468 = V302496. assign V278470 = V173286 + 1. assign V327844 = V193646 + 1. assign V247690 = V400968 - 1. assign V216371 = V488654 + 1. assign V335710 = V122811 - 1. assign V911735 = V119398 - 1. assign V077476 = V624657 + 1. assign V337038 = V309804. assign V415066 = V643752. assign V576559 = V980560 + 1. assign V733626 = V278315 - 1. assign V130112 = V886102. assign V166421 = V929070. assign V925841 = V181296. assign V161100 = V068197. assign V584445 = V355746 - 1. assign V355746 = V373813 - 1. assign V794820 = V364391 - 1. assign V058356 = V372289 + 1. assign V557258 = V274981. assign V858155 = V364391. assign V204846 = V122811 - 1. assign V252505 = V403393 + 1. assign V804692 = V974421 + 1. assign V541374 = V364391. assign V710269 = V776826 + 1. assign V849320 = V460039 - 1. assign V116389 = V974863 - 1. assign V350379 = V830101 - 1. assign V996170 = V834599 + 1. assign V102520 = V663602 - 1. assign V234393 = V550168 + 1. assign V163054 = V725587. assign V238022 = V806093. assign V960200 = V136706 + 1. assign V406008 = V580967. assign V280692 = V415066. assign V966974 = V974863. assign V158103 = V438282 - 1. assign V974421 = V309804 + 1. assign V776826 = V400968. assign V095997 = V119398 + 1. assign V447015 = V373813 + 1. assign V325164 = V584445 + 1. assign V728201 = V102520. assign V724576 = V194873.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV893448 = 5;\n\nFrom these direct assignment(s), we have: \nV900050 = V893448 + 1 = 5 + 1 =6;\nNo other variables can be derived from V900050;\nNo other variables can be derived from V893448;\n\nNow we have done all the calculations. Derived variables are:\nV893448 = 5;\nV900050 = 6;\n\nNow we have finished this problem. ANSWER:\nV900050\n", "role": "assistant" } ]

[ "V926171" ]

[ { "content": "<context>\nassign V125661 = V028232 - 1. assign V307145 = V383222 + 1. assign V420492 = V691983 + 1. assign V403049 = V424530 - 1. assign V019686 = V539654. assign V775344 = V886467. assign V863870 = V154900 + 1. assign V258053 = V449393 - 1. assign V461559 = V395553 + 1. assign V616639 = V383222 - 1. assign V475907 = V077494 + 1. assign V743785 = V248130 - 1. assign V590152 = V552062 + 1. assign V232797 = V717483 + 1. assign V989725 = V179024. assign V689236 = V741228. assign V107980 = V894039. assign V021492 = V720310 + 1. assign V460443 = V107980. assign V200144 = V476496. assign V784815 = V866993 - 1. assign V356423 = V852942 - 1. assign V007420 = V072889 + 1. assign V856255 = V119243 - 1. assign V329022 = V258053 + 1. assign V261232 = V107980. assign V485448 = V968557. assign V660918 = V077494. assign V866993 = V449393. assign V476496 = V017389 + 1. assign V833966 = V539654 - 1. assign V295691 = V014257 - 1. assign V717483 = V720310 + 1. assign V585991 = V863870 + 1. assign V050157 = V616639. assign V473390 = V007202. assign V905908 = V720310 + 1. assign V701135 = V926171 + 1. assign V137941 = V836277 + 1. assign V672050 = V852942 - 1. assign V256374 = V501573 + 1. assign V097509 = V383222 + 1. assign V172179 = V072889 - 1. assign V883487 = V154900 + 1. assign V711715 = V624442. assign V876328 = V691983 - 1. assign V720310 = V258053 - 1. assign V334769 = V154900 - 1. assign V621096 = V542740. assign V770754 = V523431. assign V555155 = V523787 - 1. assign V691983 = V395553. assign V001022 = V125661 + 1. assign V294428 = V672050 + 1. assign V274420 = V660918 - 1. assign V170559 = V271364. assign V776214 = V621096. assign V852942 = V072889 + 1. assign V651724 = V948487. assign V380842 = V477334 - 1. assign V975548 = V007202. assign V728842 = V988100 + 1. assign V248130 = V274420. assign V660665 = V154900 - 1. assign V336666 = V473250. assign V571611 = V989725 - 1. assign V212664 = V371669 + 1. assign V887091 = V072889 - 1. assign V741228 = V028232 - 1. assign V450104 = V395553 + 1. assign V898901 = V329022 + 1. assign V634703 = V381388 + 1. assign V428109 = V077494 - 1. assign V832059 = V271364 - 1. assign V228228 = V672050 - 1. assign V265791 = V542740 - 1. assign V171824 = V072889. assign V321093 = V473250 + 1. assign V968557 = V258053 - 1. assign V477334 = V836277. assign V336361 = V832059. assign V841616 = V449393 + 1. assign V028232 = V072889 - 1. assign V501573 = V464485 - 1. assign V832576 = V017389. assign V462275 = V523787 + 1. assign V836277 = V841616 - 1. assign V173574 = V905908. assign V737057 = V271510 - 1. assign V502588 = V833966 + 1. assign V624442 = V072889 - 1. assign V013818 = V028232. assign V948487 = V617376 - 1. assign V478745 = V154900 + 1. assign V383222 = V728842 - 1. assign V130891 = V371669. assign V419459 = V329022 + 1. assign V449393 = V539654 - 1. assign V179024 = V371669. assign V313553 = V084614. assign V910295 = V741228 - 1. assign V617376 = V170559 - 1. assign V520012 = V485448 - 1. assign V869802 = V017389 + 1. assign V208280 = V171824. assign V539654 = V170559 - 1. assign V473250 = V144025 + 1. assign V926171 = 2. assign V139458 = V501573. assign V444462 = V460443 - 1. assign V014257 = V617376 + 1. assign V395553 = V271364 - 1. assign V313463 = V335905 + 1. assign V172883 = V473250 - 1. assign V381388 = V672050 + 1. assign V670751 = V943524. assign V017389 = V691983 - 1. assign V409408 = V988100 + 1. assign V474016 = V017389. assign V424530 = V171824 - 1. assign V777000 = V462275 + 1. assign V886467 = V883487. assign V943524 = V617376 - 1. assign V144025 = V019686 - 1. assign V458591 = V894039 + 1. assign V119243 = V420492. assign V382909 = V887091. assign V041127 = V741228 - 1. assign V088501 = V028232 + 1. assign V072889 = V539654 + 1. assign V268975 = V621096 - 1. assign V371669 = V424530 + 1. assign V552062 = V621096 - 1. assign V114746 = V883487 - 1. assign V795795 = V836277 - 1. assign V413626 = V841616. assign V542740 = V271364. assign V086317 = V685383 - 1. assign V523787 = V624442. assign V988100 = V741228 - 1. assign V228577 = V208280. assign V579492 = V028232. assign V106376 = V832059 - 1. assign V154900 = V539654 + 1. assign V814782 = V265791 + 1. assign V685383 = V886467 + 1. assign V489817 = V271510 + 1. assign V335905 = V336666 + 1. assign V632160 = V475439 + 1. assign V453902 = V001022 - 1. assign V077494 = V041127 + 1. assign V231499 = V420492. assign V674834 = V097509 - 1. assign V959259 = V170559 + 1. assign V937759 = V336666 - 1. assign V894039 = V691983 + 1. assign V464485 = V261232 - 1. assign V007202 = V852942 - 1. assign V787136 = V866993 + 1. assign V800642 = V119243 + 1. assign V781713 = V072889 - 1. assign V084614 = V624442 + 1. assign V523431 = V017389 + 1. assign V573976 = V119243 + 1. assign V204737 = V169302. assign V746218 = V261232 + 1. assign V573031 = V746218 - 1. assign V169302 = V017389 - 1. assign V271510 = V017389 + 1. assign V650108 = V086317. assign V035622 = V107980. assign V475439 = V741228.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V125661 = V028232 - 1. assign V307145 = V383222 + 1. assign V420492 = V691983 + 1. assign V403049 = V424530 - 1. assign V019686 = V539654. assign V775344 = V886467. assign V863870 = V154900 + 1. assign V258053 = V449393 - 1. assign V461559 = V395553 + 1. assign V616639 = V383222 - 1. assign V475907 = V077494 + 1. assign V743785 = V248130 - 1. assign V590152 = V552062 + 1. assign V232797 = V717483 + 1. assign V989725 = V179024. assign V689236 = V741228. assign V107980 = V894039. assign V021492 = V720310 + 1. assign V460443 = V107980. assign V200144 = V476496. assign V784815 = V866993 - 1. assign V356423 = V852942 - 1. assign V007420 = V072889 + 1. assign V856255 = V119243 - 1. assign V329022 = V258053 + 1. assign V261232 = V107980. assign V485448 = V968557. assign V660918 = V077494. assign V866993 = V449393. assign V476496 = V017389 + 1. assign V833966 = V539654 - 1. assign V295691 = V014257 - 1. assign V717483 = V720310 + 1. assign V585991 = V863870 + 1. assign V050157 = V616639. assign V473390 = V007202. assign V905908 = V720310 + 1. assign V701135 = V926171 + 1. assign V137941 = V836277 + 1. assign V672050 = V852942 - 1. assign V256374 = V501573 + 1. assign V097509 = V383222 + 1. assign V172179 = V072889 - 1. assign V883487 = V154900 + 1. assign V711715 = V624442. assign V876328 = V691983 - 1. assign V720310 = V258053 - 1. assign V334769 = V154900 - 1. assign V621096 = V542740. assign V770754 = V523431. assign V555155 = V523787 - 1. assign V691983 = V395553. assign V001022 = V125661 + 1. assign V294428 = V672050 + 1. assign V274420 = V660918 - 1. assign V170559 = V271364. assign V776214 = V621096. assign V852942 = V072889 + 1. assign V651724 = V948487. assign V380842 = V477334 - 1. assign V975548 = V007202. assign V728842 = V988100 + 1. assign V248130 = V274420. assign V660665 = V154900 - 1. assign V336666 = V473250. assign V571611 = V989725 - 1. assign V212664 = V371669 + 1. assign V887091 = V072889 - 1. assign V741228 = V028232 - 1. assign V450104 = V395553 + 1. assign V898901 = V329022 + 1. assign V634703 = V381388 + 1. assign V428109 = V077494 - 1. assign V832059 = V271364 - 1. assign V228228 = V672050 - 1. assign V265791 = V542740 - 1. assign V171824 = V072889. assign V321093 = V473250 + 1. assign V968557 = V258053 - 1. assign V477334 = V836277. assign V336361 = V832059. assign V841616 = V449393 + 1. assign V028232 = V072889 - 1. assign V501573 = V464485 - 1. assign V832576 = V017389. assign V462275 = V523787 + 1. assign V836277 = V841616 - 1. assign V173574 = V905908. assign V737057 = V271510 - 1. assign V502588 = V833966 + 1. assign V624442 = V072889 - 1. assign V013818 = V028232. assign V948487 = V617376 - 1. assign V478745 = V154900 + 1. assign V383222 = V728842 - 1. assign V130891 = V371669. assign V419459 = V329022 + 1. assign V449393 = V539654 - 1. assign V179024 = V371669. assign V313553 = V084614. assign V910295 = V741228 - 1. assign V617376 = V170559 - 1. assign V520012 = V485448 - 1. assign V869802 = V017389 + 1. assign V208280 = V171824. assign V539654 = V170559 - 1. assign V473250 = V144025 + 1. assign V926171 = 2. assign V139458 = V501573. assign V444462 = V460443 - 1. assign V014257 = V617376 + 1. assign V395553 = V271364 - 1. assign V313463 = V335905 + 1. assign V172883 = V473250 - 1. assign V381388 = V672050 + 1. assign V670751 = V943524. assign V017389 = V691983 - 1. assign V409408 = V988100 + 1. assign V474016 = V017389. assign V424530 = V171824 - 1. assign V777000 = V462275 + 1. assign V886467 = V883487. assign V943524 = V617376 - 1. assign V144025 = V019686 - 1. assign V458591 = V894039 + 1. assign V119243 = V420492. assign V382909 = V887091. assign V041127 = V741228 - 1. assign V088501 = V028232 + 1. assign V072889 = V539654 + 1. assign V268975 = V621096 - 1. assign V371669 = V424530 + 1. assign V552062 = V621096 - 1. assign V114746 = V883487 - 1. assign V795795 = V836277 - 1. assign V413626 = V841616. assign V542740 = V271364. assign V086317 = V685383 - 1. assign V523787 = V624442. assign V988100 = V741228 - 1. assign V228577 = V208280. assign V579492 = V028232. assign V106376 = V832059 - 1. assign V154900 = V539654 + 1. assign V814782 = V265791 + 1. assign V685383 = V886467 + 1. assign V489817 = V271510 + 1. assign V335905 = V336666 + 1. assign V632160 = V475439 + 1. assign V453902 = V001022 - 1. assign V077494 = V041127 + 1. assign V231499 = V420492. assign V674834 = V097509 - 1. assign V959259 = V170559 + 1. assign V937759 = V336666 - 1. assign V894039 = V691983 + 1. assign V464485 = V261232 - 1. assign V007202 = V852942 - 1. assign V787136 = V866993 + 1. assign V800642 = V119243 + 1. assign V781713 = V072889 - 1. assign V084614 = V624442 + 1. assign V523431 = V017389 + 1. assign V573976 = V119243 + 1. assign V204737 = V169302. assign V746218 = V261232 + 1. assign V573031 = V746218 - 1. assign V169302 = V017389 - 1. assign V271510 = V017389 + 1. assign V650108 = V086317. assign V035622 = V107980. assign V475439 = V741228.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV926171 = 2;\n\nFrom these direct assignment(s), we have: \nV701135 = V926171 + 1 = 2 + 1 =3;\nNo other variables can be derived from V701135;\nNo other variables can be derived from V926171;\n\nNow we have done all the calculations. Derived variables are:\nV926171 = 2;\nV701135 = 3;\n\nNow we have finished this problem. ANSWER:\nV926171\n", "role": "assistant" } ]

[ "V624964" ]

[ { "content": "<context>\nassign V381648 = V710650 + 1. assign V447362 = V026304 - 1. assign V666277 = V565221. assign V552190 = V978294 + 1. assign V674789 = V909918 + 1. assign V510138 = V130522 - 1. assign V390320 = V301214 + 1. assign V000734 = V865284 + 1. assign V368648 = V942832 + 1. assign V391305 = V798628 - 1. assign V692501 = V530546 + 1. assign V260529 = V449832 + 1. assign V305340 = V241269. assign V565221 = V650886 - 1. assign V711590 = V227866 - 1. assign V907956 = V410468 - 1. assign V554507 = V865284. assign V835512 = V023209 + 1. assign V354640 = V805400 - 1. assign V577749 = V565221. assign V624964 = V114993 - 1. assign V796352 = V449832 + 1. assign V316013 = V942832 - 1. assign V635658 = V136536 - 1. assign V683521 = V650886 + 1. assign V468657 = V195733 + 1. assign V634051 = V530546 - 1. assign V476465 = V806799 + 1. assign V341270 = V260529. assign V812693 = V532628 + 1. assign V208664 = V767787 - 1. assign V903994 = V812693 - 1. assign V283752 = V368648 - 1. assign V559994 = V902832. assign V286169 = V942832 + 1. assign V405043 = V260529 + 1. assign V338416 = V878830 - 1. assign V798628 = V021367. assign V475100 = V447362 - 1. assign V752414 = V449832 + 1. assign V538991 = V158653 - 1. assign V625277 = V806143 + 1. assign V823726 = V524219 - 1. assign V980657 = V510138 - 1. assign V487875 = V598785 + 1. assign V490873 = V368648 + 1. assign V775628 = V449832 - 1. assign V082898 = V360700. assign V174504 = V972670 + 1. assign V327077 = V481169 + 1. assign V733063 = V316013 + 1. assign V360700 = V449832 - 1. assign V086260 = V193253 + 1. assign V074760 = V094893 - 1. assign V444730 = V256787 - 1. assign V887632 = V268375 - 1. assign V260857 = V970733. assign V607552 = V449832 - 1. assign V402557 = V565221 - 1. assign V301214 = V368648 + 1. assign V381955 = V773520 - 1. assign V130522 = V942832 + 1. assign V593997 = V021367. assign V598785 = V041409. assign V193253 = V286169 - 1. assign V034053 = V692501. assign V683072 = V666277. assign V960642 = V565221. assign V658191 = V136536 - 1. assign V806799 = V286169. assign V029552 = V028391 + 1. assign V893425 = V286169. assign V973039 = V490873. assign V806143 = V130522. assign V195733 = V940631. assign V268375 = V405043 - 1. assign V513879 = V481169 - 1. assign V214813 = V275414. assign V642969 = V836795. assign V387942 = V026304. assign V828929 = V895110. assign V410468 = V402557. assign V737737 = V368648. assign V369332 = V305340 + 1. assign V330112 = V391305. assign V805400 = V940631 + 1. assign V773520 = V836795 + 1. assign V978294 = V970733 - 1. assign V077061 = V773520. assign V241269 = V256787. assign V865284 = V942832 + 1. assign V836795 = V737737. assign V895110 = V763987. assign V275414 = V449832. assign V913406 = V598785. assign V902832 = V193253 + 1. assign V690630 = V193253 - 1. assign V344277 = V752414. assign V585353 = V968247 + 1. assign V418549 = V635658. assign V485901 = V909918 + 1. assign V080414 = V798628 + 1. assign V027877 = V737737. assign V516100 = V635658 + 1. assign V724223 = V661270 - 1. assign V023209 = V650886. assign V114993 = 3. assign V094893 = V547411. assign V968247 = V041409. assign V218239 = V909918 + 1. assign V650886 = V752414 + 1. assign V779814 = V215772. assign V078271 = V513879. assign V114586 = V798628 - 1. assign V021367 = V530546. assign V389564 = V980657. assign V538606 = V714243 + 1. assign V661270 = V752414 - 1. assign V337615 = V865284 - 1. assign V627554 = V592270 + 1. assign V757155 = V895110 + 1. assign V684407 = V733063. assign V567016 = V402557. assign V710650 = V355870 - 1. assign V532628 = V316013 + 1. assign V940631 = V260529. assign V970733 = V026304. assign V171416 = V980657. assign V071739 = V130522. assign V136536 = V447362. assign V895986 = V475100 - 1. assign V799602 = V752414 - 1. assign V064115 = V074760 + 1. assign V763987 = V836795 + 1. assign V942832 = V355870 + 1. assign V886566 = V796352 - 1. assign V272416 = V158653. assign V524219 = V491774 + 1. assign V151837 = V752414 + 1. assign V878830 = V942832 - 1. assign V592270 = V130522 + 1. assign V227866 = V387942. assign V481169 = V286169 - 1. assign V243721 = V752414. assign V158653 = V130522 + 1. assign V779225 = V064115 + 1. assign V731472 = V446516. assign V449832 = V286169 - 1. assign V041409 = V027877. assign V972670 = V973039 + 1. assign V530546 = V260529 + 1. assign V486611 = V260529. assign V227262 = V283752. assign V909918 = V243721. assign V215772 = V565221 - 1. assign V052171 = V475100. assign V714243 = V275414. assign V767787 = V650886 - 1. assign V263388 = V978294 - 1. assign V446516 = V878830 + 1. assign V547411 = V405043. assign V684121 = V878830 - 1. assign V014170 = V449832 - 1. assign V251770 = V275414 - 1. assign V154499 = V598785 - 1. assign V491774 = V286169 - 1. assign V256787 = V978294. assign V900996 = V256787. assign V351184 = V893425. assign V700297 = V593997. assign V026304 = V752414. assign V028391 = V737737 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V381648 = V710650 + 1. assign V447362 = V026304 - 1. assign V666277 = V565221. assign V552190 = V978294 + 1. assign V674789 = V909918 + 1. assign V510138 = V130522 - 1. assign V390320 = V301214 + 1. assign V000734 = V865284 + 1. assign V368648 = V942832 + 1. assign V391305 = V798628 - 1. assign V692501 = V530546 + 1. assign V260529 = V449832 + 1. assign V305340 = V241269. assign V565221 = V650886 - 1. assign V711590 = V227866 - 1. assign V907956 = V410468 - 1. assign V554507 = V865284. assign V835512 = V023209 + 1. assign V354640 = V805400 - 1. assign V577749 = V565221. assign V624964 = V114993 - 1. assign V796352 = V449832 + 1. assign V316013 = V942832 - 1. assign V635658 = V136536 - 1. assign V683521 = V650886 + 1. assign V468657 = V195733 + 1. assign V634051 = V530546 - 1. assign V476465 = V806799 + 1. assign V341270 = V260529. assign V812693 = V532628 + 1. assign V208664 = V767787 - 1. assign V903994 = V812693 - 1. assign V283752 = V368648 - 1. assign V559994 = V902832. assign V286169 = V942832 + 1. assign V405043 = V260529 + 1. assign V338416 = V878830 - 1. assign V798628 = V021367. assign V475100 = V447362 - 1. assign V752414 = V449832 + 1. assign V538991 = V158653 - 1. assign V625277 = V806143 + 1. assign V823726 = V524219 - 1. assign V980657 = V510138 - 1. assign V487875 = V598785 + 1. assign V490873 = V368648 + 1. assign V775628 = V449832 - 1. assign V082898 = V360700. assign V174504 = V972670 + 1. assign V327077 = V481169 + 1. assign V733063 = V316013 + 1. assign V360700 = V449832 - 1. assign V086260 = V193253 + 1. assign V074760 = V094893 - 1. assign V444730 = V256787 - 1. assign V887632 = V268375 - 1. assign V260857 = V970733. assign V607552 = V449832 - 1. assign V402557 = V565221 - 1. assign V301214 = V368648 + 1. assign V381955 = V773520 - 1. assign V130522 = V942832 + 1. assign V593997 = V021367. assign V598785 = V041409. assign V193253 = V286169 - 1. assign V034053 = V692501. assign V683072 = V666277. assign V960642 = V565221. assign V658191 = V136536 - 1. assign V806799 = V286169. assign V029552 = V028391 + 1. assign V893425 = V286169. assign V973039 = V490873. assign V806143 = V130522. assign V195733 = V940631. assign V268375 = V405043 - 1. assign V513879 = V481169 - 1. assign V214813 = V275414. assign V642969 = V836795. assign V387942 = V026304. assign V828929 = V895110. assign V410468 = V402557. assign V737737 = V368648. assign V369332 = V305340 + 1. assign V330112 = V391305. assign V805400 = V940631 + 1. assign V773520 = V836795 + 1. assign V978294 = V970733 - 1. assign V077061 = V773520. assign V241269 = V256787. assign V865284 = V942832 + 1. assign V836795 = V737737. assign V895110 = V763987. assign V275414 = V449832. assign V913406 = V598785. assign V902832 = V193253 + 1. assign V690630 = V193253 - 1. assign V344277 = V752414. assign V585353 = V968247 + 1. assign V418549 = V635658. assign V485901 = V909918 + 1. assign V080414 = V798628 + 1. assign V027877 = V737737. assign V516100 = V635658 + 1. assign V724223 = V661270 - 1. assign V023209 = V650886. assign V114993 = 3. assign V094893 = V547411. assign V968247 = V041409. assign V218239 = V909918 + 1. assign V650886 = V752414 + 1. assign V779814 = V215772. assign V078271 = V513879. assign V114586 = V798628 - 1. assign V021367 = V530546. assign V389564 = V980657. assign V538606 = V714243 + 1. assign V661270 = V752414 - 1. assign V337615 = V865284 - 1. assign V627554 = V592270 + 1. assign V757155 = V895110 + 1. assign V684407 = V733063. assign V567016 = V402557. assign V710650 = V355870 - 1. assign V532628 = V316013 + 1. assign V940631 = V260529. assign V970733 = V026304. assign V171416 = V980657. assign V071739 = V130522. assign V136536 = V447362. assign V895986 = V475100 - 1. assign V799602 = V752414 - 1. assign V064115 = V074760 + 1. assign V763987 = V836795 + 1. assign V942832 = V355870 + 1. assign V886566 = V796352 - 1. assign V272416 = V158653. assign V524219 = V491774 + 1. assign V151837 = V752414 + 1. assign V878830 = V942832 - 1. assign V592270 = V130522 + 1. assign V227866 = V387942. assign V481169 = V286169 - 1. assign V243721 = V752414. assign V158653 = V130522 + 1. assign V779225 = V064115 + 1. assign V731472 = V446516. assign V449832 = V286169 - 1. assign V041409 = V027877. assign V972670 = V973039 + 1. assign V530546 = V260529 + 1. assign V486611 = V260529. assign V227262 = V283752. assign V909918 = V243721. assign V215772 = V565221 - 1. assign V052171 = V475100. assign V714243 = V275414. assign V767787 = V650886 - 1. assign V263388 = V978294 - 1. assign V446516 = V878830 + 1. assign V547411 = V405043. assign V684121 = V878830 - 1. assign V014170 = V449832 - 1. assign V251770 = V275414 - 1. assign V154499 = V598785 - 1. assign V491774 = V286169 - 1. assign V256787 = V978294. assign V900996 = V256787. assign V351184 = V893425. assign V700297 = V593997. assign V026304 = V752414. assign V028391 = V737737 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV114993 = 3;\n\nFrom these direct assignment(s), we have: \nV624964 = V114993 - 1 = 3 - 1 =2;\nNo other variables can be derived from V624964;\nNo other variables can be derived from V114993;\n\nNow we have done all the calculations. Derived variables are:\nV114993 = 3;\nV624964 = 2;\n\nNow we have finished this problem. ANSWER:\nV624964\n", "role": "assistant" } ]

[ "V871770" ]

[ { "content": "<context>\nassign V920338 = V208400. assign V629914 = V654723. assign V810538 = V505231 + 1. assign V220636 = V038860 - 1. assign V600466 = V201365 + 1. assign V559364 = V805777 - 1. assign V178534 = V654723. assign V544822 = V222653 + 1. assign V820751 = V161118. assign V046763 = V820751 + 1. assign V417551 = V004945 + 1. assign V938065 = V208400 - 1. assign V812356 = V808559 - 1. assign V943079 = V809604. assign V793888 = V830845 - 1. assign V447680 = V184551 - 1. assign V424367 = V809604. assign V106216 = V634795 - 1. assign V538356 = V628016 - 1. assign V806247 = V245301 + 1. assign V942674 = V772487 + 1. assign V573544 = V275652 + 1. assign V074364 = V629849 + 1. assign V306854 = V383759. assign V660520 = V184551 - 1. assign V208400 = V402228 - 1. assign V348914 = V544822. assign V848809 = V166073 + 1. assign V754352 = V011175. assign V727732 = V773867. assign V163204 = V724231. assign V044113 = V306854. assign V772487 = V275652 + 1. assign V812244 = V230450 - 1. assign V773867 = V055439 - 1. assign V509811 = V297693. assign V864958 = V166073 + 1. assign V813725 = V402228. assign V471341 = V011175 - 1. assign V809604 = V728242 - 1. assign V120656 = V123763 - 1. assign V621499 = V004945 - 1. assign V830845 = V383759 - 1. assign V517359 = V739189 + 1. assign V808559 = V222653 + 1. assign V724231 = V306854 - 1. assign V052965 = V417551 + 1. assign V298520 = V123763 - 1. assign V275652 = V030613 - 1. assign V678681 = V329891 + 1. assign V295254 = V813725. assign V208392 = V230450 + 1. assign V258220 = V660520 + 1. assign V030613 = V506199. assign V656590 = V916551. assign V404470 = V275652 - 1. assign V038860 = V893425 + 1. assign V161118 = V506199 + 1. assign V643150 = V592306 + 1. assign V230450 = V982353 + 1. assign V201365 = V813725 + 1. assign V643205 = V162626. assign V985375 = V178534 - 1. assign V145737 = V505231 - 1. assign V841760 = V916551. assign V405898 = V208400 + 1. assign V916551 = V809604 + 1. assign V910395 = V808559 - 1. assign V869671 = V424367 + 1. assign V489036 = V163204 + 1. assign V955776 = V032609 + 1. assign V430485 = V496648 + 1. assign V109972 = V942674 + 1. assign V961375 = V610204. assign V011175 = V162626 - 1. assign V347412 = V295254 + 1. assign V314277 = V492321 - 1. assign V286286 = V402228 - 1. assign V124482 = V162626. assign V577858 = V505231 + 1. assign V340608 = V383759. assign V068923 = V286286 + 1. assign V188681 = V723521. assign V297693 = V188681. assign V756373 = V417551 + 1. assign V896334 = V295254 + 1. assign V103175 = V910395. assign V416685 = V250674. assign V690497 = V864958 - 1. assign V734560 = V805777 - 1. assign V698156 = V532908. assign V815578 = V864958 + 1. assign V871770 = 4. assign V032609 = V610204. assign V946379 = V577858 - 1. assign V895576 = V275652 + 1. assign V234182 = V871770 - 1. assign V614427 = V628016 + 1. assign V360407 = V654723 - 1. assign V402228 = V723521. assign V232703 = V295254 + 1. assign V329891 = V178534 + 1. assign V942587 = V585557 + 1. assign V685896 = V038860 + 1. assign V541940 = V272439. assign V492321 = V809604 + 1. assign V506199 = V728242 + 1. assign V723521 = V055439. assign V576318 = V809604 + 1. assign V603351 = V619617 - 1. assign V496648 = V728242. assign V354687 = V805777. assign V372829 = V943079. assign V276559 = V848809 - 1. assign V538911 = V805777 - 1. assign V628016 = V275652. assign V262148 = V055439 - 1. assign V831927 = V805777. assign V706667 = V314277. assign V901598 = V773867 - 1. assign V004945 = V188681 - 1. assign V706936 = V055439 + 1. assign V123763 = V055439 + 1. assign V629849 = V030613. assign V805777 = V628016 + 1. assign V179637 = V275652. assign V591770 = V044113 + 1. assign V630286 = V295254 - 1. assign V245301 = V518943. assign V671291 = V808559. assign V184551 = V813725 - 1. assign V222653 = V728242 - 1. assign V982353 = V773867 + 1. assign V383759 = V275652 - 1. assign V055439 = V030613 - 1. assign V739189 = V402228 + 1. assign V619617 = V910395 - 1. assign V403183 = V676103 + 1. assign V654723 = V772487. assign V550777 = V055439. assign V089374 = V275652 - 1. assign V042246 = V544822 + 1. assign V162626 = V161118. assign V930468 = V808559. assign V893425 = V812244. assign V192682 = V042246 + 1. assign V084935 = V106216. assign V518943 = V938065 - 1. assign V532908 = V805777. assign V464371 = V772487 - 1. assign V876936 = V728242 + 1. assign V037380 = V938065 + 1. assign V610204 = V161118. assign V821451 = V538911 - 1. assign V263715 = V864958 + 1. assign V676103 = V684686 - 1. assign V592306 = V055439 + 1. assign V751549 = V275652 + 1. assign V491165 = V402228. assign V797609 = V532908. assign V272439 = V506199 - 1. assign V872269 = V797609 - 1. assign V250674 = V011175 - 1. assign V585557 = V492321. assign V426311 = V577858 + 1. assign V728281 = V208400 - 1. assign V684686 = V809604. assign V634795 = V544822 + 1. assign V746257 = V068923 + 1. assign V629833 = V592306 + 1. assign V166073 = V610204 + 1. assign V505231 = V813725 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V920338 = V208400. assign V629914 = V654723. assign V810538 = V505231 + 1. assign V220636 = V038860 - 1. assign V600466 = V201365 + 1. assign V559364 = V805777 - 1. assign V178534 = V654723. assign V544822 = V222653 + 1. assign V820751 = V161118. assign V046763 = V820751 + 1. assign V417551 = V004945 + 1. assign V938065 = V208400 - 1. assign V812356 = V808559 - 1. assign V943079 = V809604. assign V793888 = V830845 - 1. assign V447680 = V184551 - 1. assign V424367 = V809604. assign V106216 = V634795 - 1. assign V538356 = V628016 - 1. assign V806247 = V245301 + 1. assign V942674 = V772487 + 1. assign V573544 = V275652 + 1. assign V074364 = V629849 + 1. assign V306854 = V383759. assign V660520 = V184551 - 1. assign V208400 = V402228 - 1. assign V348914 = V544822. assign V848809 = V166073 + 1. assign V754352 = V011175. assign V727732 = V773867. assign V163204 = V724231. assign V044113 = V306854. assign V772487 = V275652 + 1. assign V812244 = V230450 - 1. assign V773867 = V055439 - 1. assign V509811 = V297693. assign V864958 = V166073 + 1. assign V813725 = V402228. assign V471341 = V011175 - 1. assign V809604 = V728242 - 1. assign V120656 = V123763 - 1. assign V621499 = V004945 - 1. assign V830845 = V383759 - 1. assign V517359 = V739189 + 1. assign V808559 = V222653 + 1. assign V724231 = V306854 - 1. assign V052965 = V417551 + 1. assign V298520 = V123763 - 1. assign V275652 = V030613 - 1. assign V678681 = V329891 + 1. assign V295254 = V813725. assign V208392 = V230450 + 1. assign V258220 = V660520 + 1. assign V030613 = V506199. assign V656590 = V916551. assign V404470 = V275652 - 1. assign V038860 = V893425 + 1. assign V161118 = V506199 + 1. assign V643150 = V592306 + 1. assign V230450 = V982353 + 1. assign V201365 = V813725 + 1. assign V643205 = V162626. assign V985375 = V178534 - 1. assign V145737 = V505231 - 1. assign V841760 = V916551. assign V405898 = V208400 + 1. assign V916551 = V809604 + 1. assign V910395 = V808559 - 1. assign V869671 = V424367 + 1. assign V489036 = V163204 + 1. assign V955776 = V032609 + 1. assign V430485 = V496648 + 1. assign V109972 = V942674 + 1. assign V961375 = V610204. assign V011175 = V162626 - 1. assign V347412 = V295254 + 1. assign V314277 = V492321 - 1. assign V286286 = V402228 - 1. assign V124482 = V162626. assign V577858 = V505231 + 1. assign V340608 = V383759. assign V068923 = V286286 + 1. assign V188681 = V723521. assign V297693 = V188681. assign V756373 = V417551 + 1. assign V896334 = V295254 + 1. assign V103175 = V910395. assign V416685 = V250674. assign V690497 = V864958 - 1. assign V734560 = V805777 - 1. assign V698156 = V532908. assign V815578 = V864958 + 1. assign V871770 = 4. assign V032609 = V610204. assign V946379 = V577858 - 1. assign V895576 = V275652 + 1. assign V234182 = V871770 - 1. assign V614427 = V628016 + 1. assign V360407 = V654723 - 1. assign V402228 = V723521. assign V232703 = V295254 + 1. assign V329891 = V178534 + 1. assign V942587 = V585557 + 1. assign V685896 = V038860 + 1. assign V541940 = V272439. assign V492321 = V809604 + 1. assign V506199 = V728242 + 1. assign V723521 = V055439. assign V576318 = V809604 + 1. assign V603351 = V619617 - 1. assign V496648 = V728242. assign V354687 = V805777. assign V372829 = V943079. assign V276559 = V848809 - 1. assign V538911 = V805777 - 1. assign V628016 = V275652. assign V262148 = V055439 - 1. assign V831927 = V805777. assign V706667 = V314277. assign V901598 = V773867 - 1. assign V004945 = V188681 - 1. assign V706936 = V055439 + 1. assign V123763 = V055439 + 1. assign V629849 = V030613. assign V805777 = V628016 + 1. assign V179637 = V275652. assign V591770 = V044113 + 1. assign V630286 = V295254 - 1. assign V245301 = V518943. assign V671291 = V808559. assign V184551 = V813725 - 1. assign V222653 = V728242 - 1. assign V982353 = V773867 + 1. assign V383759 = V275652 - 1. assign V055439 = V030613 - 1. assign V739189 = V402228 + 1. assign V619617 = V910395 - 1. assign V403183 = V676103 + 1. assign V654723 = V772487. assign V550777 = V055439. assign V089374 = V275652 - 1. assign V042246 = V544822 + 1. assign V162626 = V161118. assign V930468 = V808559. assign V893425 = V812244. assign V192682 = V042246 + 1. assign V084935 = V106216. assign V518943 = V938065 - 1. assign V532908 = V805777. assign V464371 = V772487 - 1. assign V876936 = V728242 + 1. assign V037380 = V938065 + 1. assign V610204 = V161118. assign V821451 = V538911 - 1. assign V263715 = V864958 + 1. assign V676103 = V684686 - 1. assign V592306 = V055439 + 1. assign V751549 = V275652 + 1. assign V491165 = V402228. assign V797609 = V532908. assign V272439 = V506199 - 1. assign V872269 = V797609 - 1. assign V250674 = V011175 - 1. assign V585557 = V492321. assign V426311 = V577858 + 1. assign V728281 = V208400 - 1. assign V684686 = V809604. assign V634795 = V544822 + 1. assign V746257 = V068923 + 1. assign V629833 = V592306 + 1. assign V166073 = V610204 + 1. assign V505231 = V813725 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV871770 = 4;\n\nFrom these direct assignment(s), we have: \nV234182 = V871770 - 1 = 4 - 1 =3;\nNo other variables can be derived from V234182;\nNo other variables can be derived from V871770;\n\nNow we have done all the calculations. Derived variables are:\nV871770 = 4;\nV234182 = 3;\n\nNow we have finished this problem. ANSWER:\nV871770\n", "role": "assistant" } ]

[ "V751499" ]

[ { "content": "<context>\nassign V597623 = V387139 - 1. assign V179256 = V277752 + 1. assign V195212 = V592716 + 1. assign V221987 = V492206 - 1. assign V735336 = V945457 - 1. assign V660485 = V124675 + 1. assign V725846 = V479850. assign V087609 = V272569 + 1. assign V797109 = V452788 + 1. assign V773268 = V910850. assign V604470 = V913099 + 1. assign V761832 = V283986 + 1. assign V493042 = V240523 - 1. assign V159400 = V111351 - 1. assign V241461 = V124675. assign V006570 = V322705. assign V399801 = V285931. assign V709273 = V948012 - 1. assign V201853 = V782010. assign V720265 = V652256 + 1. assign V075644 = V660485 - 1. assign V322705 = V948012 - 1. assign V672836 = V889735 - 1. assign V600467 = V903108 + 1. assign V851678 = V387139. assign V553432 = V337298 + 1. assign V116745 = V557880 - 1. assign V285931 = V910850 + 1. assign V835798 = V660485 - 1. assign V277752 = V493042 + 1. assign V492206 = V233537 - 1. assign V360896 = V228407 - 1. assign V894483 = V544268. assign V841371 = V062397 + 1. assign V922636 = V948012 - 1. assign V782010 = V657196 + 1. assign V595645 = V217012. assign V233537 = V961953 - 1. assign V544268 = V513050. assign V284737 = V924677 + 1. assign V778139 = V057831. assign V948012 = V945457. assign V652256 = V234019 - 1. assign V590419 = V342731. assign V420110 = V458616. assign V701536 = V773268 + 1. assign V049053 = V407659 - 1. assign V800449 = V057831. assign V695261 = V145414. assign V668082 = V558440 + 1. assign V430218 = V915664 - 1. assign V384087 = V218421. assign V889735 = V346882. assign V252949 = V221987. assign V776083 = V493042 - 1. assign V366386 = V558440. assign V857168 = V062336. assign V479850 = V945457. assign V691443 = V841371. assign V913099 = V910850. assign V216793 = V233537 + 1. assign V364016 = V527037. assign V924677 = V825674. assign V825674 = V216793 - 1. assign V520826 = V284737 + 1. assign V094880 = V216793 + 1. assign V346882 = V350830 + 1. assign V903108 = V366386. assign V218421 = V458616 + 1. assign V619560 = V778139 - 1. assign V443919 = V720265 - 1. assign V205241 = V350830. assign V292541 = V948012 - 1. assign V397164 = V737118 - 1. assign V387139 = V657196 - 1. assign V951877 = V825674. assign V558440 = V458616 + 1. assign V467586 = V337298. assign V677614 = V527037 - 1. assign V605668 = V961953 + 1. assign V145414 = V452788 + 1. assign V751499 = 8. assign V294983 = V351934. assign V382925 = V043891 + 1. assign V757308 = V825674. assign V592716 = V322705. assign V272569 = V737118. assign V502078 = V218421. assign V283986 = V351934 - 1. assign V776692 = V452788. assign V657196 = V062397 - 1. assign V191881 = V228407. assign V687222 = V234019 + 1. assign V703973 = V687222 - 1. assign V026334 = V513050 - 1. assign V006946 = V913099 + 1. assign V059162 = V124675 - 1. assign V756796 = V026334 - 1. assign V253953 = V825674 + 1. assign V701200 = V665592 + 1. assign V680566 = V205241 - 1. assign V079968 = V492206. assign V462695 = V159400. assign V848821 = V948012. assign V915664 = V241461 - 1. assign V057831 = V233537 - 1. assign V910850 = V337298 - 1. assign V057403 = V951877 - 1. assign V199468 = V825674 - 1. assign V144911 = V690700 - 1. assign V234019 = V948012. assign V679636 = V948012 - 1. assign V918985 = V781812 + 1. assign V100732 = V144911 - 1. assign V342731 = V825674 + 1. assign V264794 = V478971. assign V407659 = V961953. assign V351934 = V124675. assign V341290 = V342731 + 1. assign V690700 = V848821 + 1. assign V123687 = V709273 + 1. assign V710924 = V773268. assign V247301 = V751499 - 1. assign V945457 = V124675 + 1. assign V092700 = V781812 - 1. assign V236642 = V145414 - 1. assign V887516 = V079968 + 1. assign V963686 = V520826 + 1. assign V452788 = V945457 - 1. assign V217012 = V492206. assign V557880 = V233537. assign V125893 = V619560. assign V527037 = V059162. assign V350830 = V351934. assign V917709 = V945457 - 1. assign V337298 = V233537. assign V526814 = V145414 + 1. assign V111351 = V709273. assign V478971 = V945457. assign V801650 = V351934. assign V629635 = V848821 + 1. assign V737118 = V458616. assign V544602 = V558440 + 1. assign V427149 = V350830 + 1. assign V699189 = V652256 + 1. assign V044693 = V094880 + 1. assign V645617 = V221987 + 1. assign V228407 = V948012. assign V609994 = V228407 - 1. assign V337695 = V264794 - 1. assign V665592 = V407659 - 1. assign V513050 = V452788 - 1. assign V123658 = V241461 - 1. assign V760737 = V191881 + 1. assign V551808 = V600467 - 1. assign V781812 = V782010. assign V270454 = V797109 + 1. assign V043891 = V241461 + 1. assign V082481 = V351934. assign V062397 = V709273 - 1. assign V786535 = V604470 - 1. assign V062336 = V452788. assign V241556 = V159400 - 1. assign V851093 = V159400 - 1. assign V920500 = V124675 - 1. assign V068995 = V951877 + 1. assign V458616 = V961953 + 1. assign V385508 = V116745. assign V058675 = V092700 - 1. assign V330663 = V360896 + 1. assign V240523 = V228407 - 1. assign V961953 = V124675 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V597623 = V387139 - 1. assign V179256 = V277752 + 1. assign V195212 = V592716 + 1. assign V221987 = V492206 - 1. assign V735336 = V945457 - 1. assign V660485 = V124675 + 1. assign V725846 = V479850. assign V087609 = V272569 + 1. assign V797109 = V452788 + 1. assign V773268 = V910850. assign V604470 = V913099 + 1. assign V761832 = V283986 + 1. assign V493042 = V240523 - 1. assign V159400 = V111351 - 1. assign V241461 = V124675. assign V006570 = V322705. assign V399801 = V285931. assign V709273 = V948012 - 1. assign V201853 = V782010. assign V720265 = V652256 + 1. assign V075644 = V660485 - 1. assign V322705 = V948012 - 1. assign V672836 = V889735 - 1. assign V600467 = V903108 + 1. assign V851678 = V387139. assign V553432 = V337298 + 1. assign V116745 = V557880 - 1. assign V285931 = V910850 + 1. assign V835798 = V660485 - 1. assign V277752 = V493042 + 1. assign V492206 = V233537 - 1. assign V360896 = V228407 - 1. assign V894483 = V544268. assign V841371 = V062397 + 1. assign V922636 = V948012 - 1. assign V782010 = V657196 + 1. assign V595645 = V217012. assign V233537 = V961953 - 1. assign V544268 = V513050. assign V284737 = V924677 + 1. assign V778139 = V057831. assign V948012 = V945457. assign V652256 = V234019 - 1. assign V590419 = V342731. assign V420110 = V458616. assign V701536 = V773268 + 1. assign V049053 = V407659 - 1. assign V800449 = V057831. assign V695261 = V145414. assign V668082 = V558440 + 1. assign V430218 = V915664 - 1. assign V384087 = V218421. assign V889735 = V346882. assign V252949 = V221987. assign V776083 = V493042 - 1. assign V366386 = V558440. assign V857168 = V062336. assign V479850 = V945457. assign V691443 = V841371. assign V913099 = V910850. assign V216793 = V233537 + 1. assign V364016 = V527037. assign V924677 = V825674. assign V825674 = V216793 - 1. assign V520826 = V284737 + 1. assign V094880 = V216793 + 1. assign V346882 = V350830 + 1. assign V903108 = V366386. assign V218421 = V458616 + 1. assign V619560 = V778139 - 1. assign V443919 = V720265 - 1. assign V205241 = V350830. assign V292541 = V948012 - 1. assign V397164 = V737118 - 1. assign V387139 = V657196 - 1. assign V951877 = V825674. assign V558440 = V458616 + 1. assign V467586 = V337298. assign V677614 = V527037 - 1. assign V605668 = V961953 + 1. assign V145414 = V452788 + 1. assign V751499 = 8. assign V294983 = V351934. assign V382925 = V043891 + 1. assign V757308 = V825674. assign V592716 = V322705. assign V272569 = V737118. assign V502078 = V218421. assign V283986 = V351934 - 1. assign V776692 = V452788. assign V657196 = V062397 - 1. assign V191881 = V228407. assign V687222 = V234019 + 1. assign V703973 = V687222 - 1. assign V026334 = V513050 - 1. assign V006946 = V913099 + 1. assign V059162 = V124675 - 1. assign V756796 = V026334 - 1. assign V253953 = V825674 + 1. assign V701200 = V665592 + 1. assign V680566 = V205241 - 1. assign V079968 = V492206. assign V462695 = V159400. assign V848821 = V948012. assign V915664 = V241461 - 1. assign V057831 = V233537 - 1. assign V910850 = V337298 - 1. assign V057403 = V951877 - 1. assign V199468 = V825674 - 1. assign V144911 = V690700 - 1. assign V234019 = V948012. assign V679636 = V948012 - 1. assign V918985 = V781812 + 1. assign V100732 = V144911 - 1. assign V342731 = V825674 + 1. assign V264794 = V478971. assign V407659 = V961953. assign V351934 = V124675. assign V341290 = V342731 + 1. assign V690700 = V848821 + 1. assign V123687 = V709273 + 1. assign V710924 = V773268. assign V247301 = V751499 - 1. assign V945457 = V124675 + 1. assign V092700 = V781812 - 1. assign V236642 = V145414 - 1. assign V887516 = V079968 + 1. assign V963686 = V520826 + 1. assign V452788 = V945457 - 1. assign V217012 = V492206. assign V557880 = V233537. assign V125893 = V619560. assign V527037 = V059162. assign V350830 = V351934. assign V917709 = V945457 - 1. assign V337298 = V233537. assign V526814 = V145414 + 1. assign V111351 = V709273. assign V478971 = V945457. assign V801650 = V351934. assign V629635 = V848821 + 1. assign V737118 = V458616. assign V544602 = V558440 + 1. assign V427149 = V350830 + 1. assign V699189 = V652256 + 1. assign V044693 = V094880 + 1. assign V645617 = V221987 + 1. assign V228407 = V948012. assign V609994 = V228407 - 1. assign V337695 = V264794 - 1. assign V665592 = V407659 - 1. assign V513050 = V452788 - 1. assign V123658 = V241461 - 1. assign V760737 = V191881 + 1. assign V551808 = V600467 - 1. assign V781812 = V782010. assign V270454 = V797109 + 1. assign V043891 = V241461 + 1. assign V082481 = V351934. assign V062397 = V709273 - 1. assign V786535 = V604470 - 1. assign V062336 = V452788. assign V241556 = V159400 - 1. assign V851093 = V159400 - 1. assign V920500 = V124675 - 1. assign V068995 = V951877 + 1. assign V458616 = V961953 + 1. assign V385508 = V116745. assign V058675 = V092700 - 1. assign V330663 = V360896 + 1. assign V240523 = V228407 - 1. assign V961953 = V124675 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV751499 = 8;\n\nFrom these direct assignment(s), we have: \nV247301 = V751499 - 1 = 8 - 1 =7;\nNo other variables can be derived from V247301;\nNo other variables can be derived from V751499;\n\nNow we have done all the calculations. Derived variables are:\nV751499 = 8;\nV247301 = 7;\n\nNow we have finished this problem. ANSWER:\nV751499\n", "role": "assistant" } ]

[ "V491381", "V410759" ]

[ { "content": "<context>\nassign V250503 = V370255. assign V436528 = V781454 - 1. assign V858048 = V375903 + 1. assign V316839 = V877682. assign V737255 = V730794 + 1. assign V056460 = V683280 - 1. assign V641668 = V643901 + 1. assign V781454 = V068454. assign V410759 = V491381. assign V845754 = V252902. assign V992165 = V272085. assign V370255 = V292399. assign V584399 = V227499 + 1. assign V025422 = V779212 + 1. assign V893129 = V127376. assign V515881 = V672891 + 1. assign V872290 = V331080 + 1. assign V910192 = V899553 + 1. assign V815834 = V252902. assign V429157 = V888673. assign V835486 = V671314 - 1. assign V166286 = V618292 - 1. assign V683972 = V381412 - 1. assign V323247 = V021316 - 1. assign V342978 = V915225. assign V699404 = V381412 + 1. assign V108000 = V272085. assign V000763 = V636034. assign V010001 = V027646 + 1. assign V383682 = V312745 + 1. assign V638302 = V584399. assign V789757 = V091898 + 1. assign V801363 = V948420 - 1. assign V092155 = V188119 - 1. assign V450948 = V663004. assign V665124 = V899553 - 1. assign V478703 = V888673 + 1. assign V048514 = V845754 - 1. assign V405171 = V032820. assign V531896 = V754528. assign V332894 = V754528. assign V381412 = V788910 - 1. assign V779212 = V959829 + 1. assign V264232 = V436528. assign V308279 = V163185. assign V748417 = V765410 + 1. assign V106734 = V899553 - 1. assign V065274 = V683280 - 1. assign V915225 = V316839 - 1. assign V091898 = V845754. assign V814418 = V292399. assign V127376 = V683280 - 1. assign V659272 = V641668 + 1. assign V712288 = V683972 - 1. assign V838292 = V405171. assign V373371 = V815834 - 1. assign V842788 = V807762. assign V330169 = V375903 + 1. assign V842511 = V815834 + 1. assign V869198 = V738683 + 1. assign V368443 = V373371 + 1. assign V084473 = V515881. assign V581308 = V636034. assign V312745 = V665124 - 1. assign V766127 = V091898. assign V643901 = V250644 - 1. assign V558624 = V618292 + 1. assign V510263 = V765410 + 1. assign V320555 = V792679. assign V290578 = V353026. assign V163185 = V450948 + 1. assign V177380 = V368440. assign V292399 = V531896 + 1. assign V823282 = V643901 - 1. assign V807762 = V289424 - 1. assign V136843 = V698429 + 1. assign V555953 = V683972 - 1. assign V738683 = V285709 - 1. assign V683897 = V096365 - 1. assign V088042 = V227499 - 1. assign V032820 = V738683 + 1. assign V998269 = V032820 - 1. assign V857100 = V032820 - 1. assign V877682 = V375903. assign V730794 = V000763 - 1. assign V474870 = V671084. assign V897345 = V147006. assign V959829 = V252902 + 1. assign V663004 = V845754. assign V219288 = V765410 + 1. assign V792679 = V252902. assign V972296 = V738683 - 1. assign V045409 = V845754 - 1. assign V368440 = V331080 - 1. assign V021316 = V815834 + 1. assign V618292 = V518011. assign V353026 = V948420 + 1. assign V225309 = V068454 + 1. assign V080616 = V643901 - 1. assign V272085 = V068454 + 1. assign V778032 = V003077 + 1. assign V194093 = V383682. assign V356545 = V075571 - 1. assign V946360 = V323247. assign V375471 = V738683. assign V548405 = V332894 + 1. assign V646956 = V518011 + 1. assign V450582 = V877682 + 1. assign V649646 = V518011 - 1. assign V539323 = V219288 + 1. assign V712724 = V499559. assign V751339 = V373371 + 1. assign V983116 = V075571. assign V285709 = V068454 + 1. assign V416617 = V375903 + 1. assign V190624 = V665124. assign V327740 = V068454 - 1. assign V867163 = V499559. assign V503622 = V106734. assign V667553 = V084473. assign V188119 = V671084. assign V438209 = V429157 - 1. assign V683280 = V381412 - 1. assign V216483 = V381412 + 1. assign V340910 = V948420. assign V766042 = V381412 - 1. assign V388246 = V327740. assign V963909 = V252902 - 1. assign V499559 = V436528 + 1. assign V009436 = V068454 - 1. assign V068454 = V048514 - 1. assign V103888 = V056460 + 1. assign V672891 = V751339. assign V147006 = V416617. assign V375903 = V048514 + 1. assign V157077 = V356545 + 1. assign V007192 = V163185. assign V250644 = V331080 + 1. assign V691068 = V227499 + 1. assign V013409 = V048514 + 1. assign V888673 = V009436. assign V948420 = V272085. assign V671084 = V815834 + 1. assign V429113 = V080616 + 1. assign V003077 = V584399 - 1. assign V518011 = V698429 - 1. assign V765410 = V845754 + 1. assign V975976 = V290578 + 1. assign V899553 = V765410 - 1. assign V206841 = V092155 + 1. assign V968589 = V842511. assign V345079 = V320555 + 1. assign V075571 = V068454. assign V990189 = V450582. assign V754528 = V765410 - 1. assign V096365 = V845754 + 1. assign V227499 = V048514 + 1. assign V289424 = V698429. assign V698429 = V108000 - 1. assign V027646 = V972296. assign V354035 = V216483 - 1. assign V671314 = V331080 - 1. assign V181680 = V792679 - 1. assign V636034 = V331080. assign V528252 = V340910. assign V149033 = V388246. assign V331080 = V375903 + 1. assign V184213 = V888673 + 1. assign V491381 = 6. assign V518561 = V781454 + 1. assign V788910 = V754528 + 1. assign V134955 = V478703.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V250503 = V370255. assign V436528 = V781454 - 1. assign V858048 = V375903 + 1. assign V316839 = V877682. assign V737255 = V730794 + 1. assign V056460 = V683280 - 1. assign V641668 = V643901 + 1. assign V781454 = V068454. assign V410759 = V491381. assign V845754 = V252902. assign V992165 = V272085. assign V370255 = V292399. assign V584399 = V227499 + 1. assign V025422 = V779212 + 1. assign V893129 = V127376. assign V515881 = V672891 + 1. assign V872290 = V331080 + 1. assign V910192 = V899553 + 1. assign V815834 = V252902. assign V429157 = V888673. assign V835486 = V671314 - 1. assign V166286 = V618292 - 1. assign V683972 = V381412 - 1. assign V323247 = V021316 - 1. assign V342978 = V915225. assign V699404 = V381412 + 1. assign V108000 = V272085. assign V000763 = V636034. assign V010001 = V027646 + 1. assign V383682 = V312745 + 1. assign V638302 = V584399. assign V789757 = V091898 + 1. assign V801363 = V948420 - 1. assign V092155 = V188119 - 1. assign V450948 = V663004. assign V665124 = V899553 - 1. assign V478703 = V888673 + 1. assign V048514 = V845754 - 1. assign V405171 = V032820. assign V531896 = V754528. assign V332894 = V754528. assign V381412 = V788910 - 1. assign V779212 = V959829 + 1. assign V264232 = V436528. assign V308279 = V163185. assign V748417 = V765410 + 1. assign V106734 = V899553 - 1. assign V065274 = V683280 - 1. assign V915225 = V316839 - 1. assign V091898 = V845754. assign V814418 = V292399. assign V127376 = V683280 - 1. assign V659272 = V641668 + 1. assign V712288 = V683972 - 1. assign V838292 = V405171. assign V373371 = V815834 - 1. assign V842788 = V807762. assign V330169 = V375903 + 1. assign V842511 = V815834 + 1. assign V869198 = V738683 + 1. assign V368443 = V373371 + 1. assign V084473 = V515881. assign V581308 = V636034. assign V312745 = V665124 - 1. assign V766127 = V091898. assign V643901 = V250644 - 1. assign V558624 = V618292 + 1. assign V510263 = V765410 + 1. assign V320555 = V792679. assign V290578 = V353026. assign V163185 = V450948 + 1. assign V177380 = V368440. assign V292399 = V531896 + 1. assign V823282 = V643901 - 1. assign V807762 = V289424 - 1. assign V136843 = V698429 + 1. assign V555953 = V683972 - 1. assign V738683 = V285709 - 1. assign V683897 = V096365 - 1. assign V088042 = V227499 - 1. assign V032820 = V738683 + 1. assign V998269 = V032820 - 1. assign V857100 = V032820 - 1. assign V877682 = V375903. assign V730794 = V000763 - 1. assign V474870 = V671084. assign V897345 = V147006. assign V959829 = V252902 + 1. assign V663004 = V845754. assign V219288 = V765410 + 1. assign V792679 = V252902. assign V972296 = V738683 - 1. assign V045409 = V845754 - 1. assign V368440 = V331080 - 1. assign V021316 = V815834 + 1. assign V618292 = V518011. assign V353026 = V948420 + 1. assign V225309 = V068454 + 1. assign V080616 = V643901 - 1. assign V272085 = V068454 + 1. assign V778032 = V003077 + 1. assign V194093 = V383682. assign V356545 = V075571 - 1. assign V946360 = V323247. assign V375471 = V738683. assign V548405 = V332894 + 1. assign V646956 = V518011 + 1. assign V450582 = V877682 + 1. assign V649646 = V518011 - 1. assign V539323 = V219288 + 1. assign V712724 = V499559. assign V751339 = V373371 + 1. assign V983116 = V075571. assign V285709 = V068454 + 1. assign V416617 = V375903 + 1. assign V190624 = V665124. assign V327740 = V068454 - 1. assign V867163 = V499559. assign V503622 = V106734. assign V667553 = V084473. assign V188119 = V671084. assign V438209 = V429157 - 1. assign V683280 = V381412 - 1. assign V216483 = V381412 + 1. assign V340910 = V948420. assign V766042 = V381412 - 1. assign V388246 = V327740. assign V963909 = V252902 - 1. assign V499559 = V436528 + 1. assign V009436 = V068454 - 1. assign V068454 = V048514 - 1. assign V103888 = V056460 + 1. assign V672891 = V751339. assign V147006 = V416617. assign V375903 = V048514 + 1. assign V157077 = V356545 + 1. assign V007192 = V163185. assign V250644 = V331080 + 1. assign V691068 = V227499 + 1. assign V013409 = V048514 + 1. assign V888673 = V009436. assign V948420 = V272085. assign V671084 = V815834 + 1. assign V429113 = V080616 + 1. assign V003077 = V584399 - 1. assign V518011 = V698429 - 1. assign V765410 = V845754 + 1. assign V975976 = V290578 + 1. assign V899553 = V765410 - 1. assign V206841 = V092155 + 1. assign V968589 = V842511. assign V345079 = V320555 + 1. assign V075571 = V068454. assign V990189 = V450582. assign V754528 = V765410 - 1. assign V096365 = V845754 + 1. assign V227499 = V048514 + 1. assign V289424 = V698429. assign V698429 = V108000 - 1. assign V027646 = V972296. assign V354035 = V216483 - 1. assign V671314 = V331080 - 1. assign V181680 = V792679 - 1. assign V636034 = V331080. assign V528252 = V340910. assign V149033 = V388246. assign V331080 = V375903 + 1. assign V184213 = V888673 + 1. assign V491381 = 6. assign V518561 = V781454 + 1. assign V788910 = V754528 + 1. assign V134955 = V478703.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV491381 = 6;\n\nFrom these direct assignment(s), we have: \nV410759 = V491381 = 6;\nNo other variables can be derived from V410759;\nNo other variables can be derived from V491381;\n\nNow we have done all the calculations. Derived variables are:\nV491381 = 6;\nV410759 = 6;\n\nNow we have finished this problem. ANSWER:\nV491381, V410759\n", "role": "assistant" } ]

[ "V182551" ]

[ { "content": "<context>\nassign V682220 = V750653. assign V985809 = V479253 + 1. assign V723007 = V200946. assign V151864 = V429430 - 1. assign V632180 = V280891 + 1. assign V713143 = V287965. assign V200946 = V918194 + 1. assign V242883 = V943746. assign V935894 = V516964 + 1. assign V897841 = V563637 + 1. assign V277849 = V862028. assign V027479 = V386527 + 1. assign V373783 = V588394 - 1. assign V002160 = V015492 - 1. assign V898534 = V280891 + 1. assign V655096 = V985809 - 1. assign V498839 = V360271 + 1. assign V378806 = V985809. assign V660692 = V030616 - 1. assign V237181 = V074467 - 1. assign V421675 = V312120. assign V837125 = V386527 - 1. assign V276244 = V251410. assign V781730 = V302582 - 1. assign V854173 = V444935. assign V462718 = V723007 + 1. assign V031620 = V898534 - 1. assign V449295 = V657133 + 1. assign V947288 = V136981 - 1. assign V080875 = V200946. assign V440958 = V486592 - 1. assign V862028 = V145863. assign V479560 = V100198 + 1. assign V087747 = V052716 + 1. assign V803625 = V312120 + 1. assign V247488 = V132844. assign V383914 = V251410 + 1. assign V424988 = V946777 - 1. assign V773176 = V462718. assign V898327 = V772942 - 1. assign V130616 = V844602. assign V223946 = V016575 - 1. assign V287710 = V016575 + 1. assign V657133 = V735489. assign V346572 = V878866. assign V100198 = V918194 - 1. assign V479384 = V750653 - 1. assign V954117 = V863712. assign V052956 = V130616 + 1. assign V942608 = V132844 - 1. assign V588394 = V015409 + 1. assign V396633 = V758657 - 1. assign V943746 = V287965. assign V059368 = V181679 + 1. assign V207062 = V511955 - 1. assign V969971 = V180561. assign V386527 = V030778. assign V080546 = V943746. assign V830510 = V462718 + 1. assign V030778 = V918194 - 1. assign V777228 = V016575 - 1. assign V016575 = V918194 - 1. assign V563637 = V700976 + 1. assign V865795 = V486592. assign V287965 = V421675 + 1. assign V634626 = V693714 - 1. assign V069699 = V287710 + 1. assign V492807 = V287965 - 1. assign V989036 = V101947 - 1. assign V531967 = V511955. assign V246274 = V462718. assign V758657 = V421675 + 1. assign V757324 = V287965. assign V511955 = V015409 - 1. assign V946777 = V438874 - 1. assign V863712 = V862028 - 1. assign V015492 = V424988 + 1. assign V182551 = 8. assign V136981 = V758408. assign V316430 = V080875 - 1. assign V259422 = V285458. assign V572651 = V492807 - 1. assign V145863 = V327815 - 1. assign V399180 = V287965. assign V280891 = V277849 + 1. assign V991249 = V862013. assign V680034 = V844602 + 1. assign V132844 = V200946. assign V360271 = V181679 + 1. assign V223732 = V723007 - 1. assign V650679 = V312120 - 1. assign V982848 = V991249. assign V100091 = V526624 + 1. assign V027790 = V074467. assign V592851 = V498839. assign V744401 = V777228 - 1. assign V180561 = V757324 - 1. assign V429430 = V181679. assign V955513 = V287965 + 1. assign V027266 = V074467. assign V678127 = V182551 - 1. assign V652601 = V223732. assign V916533 = V399180. assign V067931 = V836904 - 1. assign V581108 = V617994 - 1. assign V157905 = V421675. assign V750653 = V287965. assign V275809 = V772942 + 1. assign V285458 = V181679 + 1. assign V835190 = V479253. assign V772942 = V200946 + 1. assign V271671 = V424988 - 1. assign V486592 = V100198 - 1. assign V831759 = V652601 - 1. assign V123880 = V438874 + 1. assign V617994 = V723007 + 1. assign V526624 = V935894 + 1. assign V983676 = V744401 + 1. assign V912584 = V634626 + 1. assign V236881 = V058579 + 1. assign V479253 = V918194. assign V163308 = V989036. assign V509449 = V180561 + 1. assign V836904 = V777228 + 1. assign V016354 = V421675. assign V840250 = V479384 + 1. assign V758408 = V878866 + 1. assign V312120 = V100198 - 1. assign V058579 = V016575 + 1. assign V693714 = V991249 + 1. assign V991322 = V479253. assign V030616 = V758657 - 1. assign V519982 = V586964. assign V074467 = V773176 - 1. assign V057065 = V462718 - 1. assign V369551 = V989036 - 1. assign V516964 = V016354 - 1. assign V161430 = V123880. assign V940663 = V223946 + 1. assign V700976 = V438874. assign V446207 = V421675 + 1. assign V844602 = V492807 - 1. assign V015409 = V080875. assign V870759 = V259422 + 1. assign V438874 = V421675. assign V428468 = V989036. assign V877729 = V572651 + 1. assign V078393 = V277849 + 1. assign V302582 = V758408 - 1. assign V486288 = V277849. assign V489150 = V444935. assign V101947 = V492807 - 1. assign V945692 = V943746 - 1. assign V967323 = V369551 + 1. assign V003978 = V516964 - 1. assign V213607 = V479384 + 1. assign V181679 = V723007 - 1. assign V444935 = V200946 + 1. assign V511882 = V016575. assign V768441 = V369551 + 1. assign V251410 = V479253. assign V327815 = V479253. assign V098510 = V030616 - 1. assign V780721 = V251410 + 1. assign V640952 = V680034 - 1. assign V768628 = V360271 + 1. assign V028650 = V424988. assign V052716 = V758408. assign V862013 = V016575 - 1. assign V586964 = V369551 - 1. assign V735489 = V492807 - 1. assign V878866 = V015409 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V682220 = V750653. assign V985809 = V479253 + 1. assign V723007 = V200946. assign V151864 = V429430 - 1. assign V632180 = V280891 + 1. assign V713143 = V287965. assign V200946 = V918194 + 1. assign V242883 = V943746. assign V935894 = V516964 + 1. assign V897841 = V563637 + 1. assign V277849 = V862028. assign V027479 = V386527 + 1. assign V373783 = V588394 - 1. assign V002160 = V015492 - 1. assign V898534 = V280891 + 1. assign V655096 = V985809 - 1. assign V498839 = V360271 + 1. assign V378806 = V985809. assign V660692 = V030616 - 1. assign V237181 = V074467 - 1. assign V421675 = V312120. assign V837125 = V386527 - 1. assign V276244 = V251410. assign V781730 = V302582 - 1. assign V854173 = V444935. assign V462718 = V723007 + 1. assign V031620 = V898534 - 1. assign V449295 = V657133 + 1. assign V947288 = V136981 - 1. assign V080875 = V200946. assign V440958 = V486592 - 1. assign V862028 = V145863. assign V479560 = V100198 + 1. assign V087747 = V052716 + 1. assign V803625 = V312120 + 1. assign V247488 = V132844. assign V383914 = V251410 + 1. assign V424988 = V946777 - 1. assign V773176 = V462718. assign V898327 = V772942 - 1. assign V130616 = V844602. assign V223946 = V016575 - 1. assign V287710 = V016575 + 1. assign V657133 = V735489. assign V346572 = V878866. assign V100198 = V918194 - 1. assign V479384 = V750653 - 1. assign V954117 = V863712. assign V052956 = V130616 + 1. assign V942608 = V132844 - 1. assign V588394 = V015409 + 1. assign V396633 = V758657 - 1. assign V943746 = V287965. assign V059368 = V181679 + 1. assign V207062 = V511955 - 1. assign V969971 = V180561. assign V386527 = V030778. assign V080546 = V943746. assign V830510 = V462718 + 1. assign V030778 = V918194 - 1. assign V777228 = V016575 - 1. assign V016575 = V918194 - 1. assign V563637 = V700976 + 1. assign V865795 = V486592. assign V287965 = V421675 + 1. assign V634626 = V693714 - 1. assign V069699 = V287710 + 1. assign V492807 = V287965 - 1. assign V989036 = V101947 - 1. assign V531967 = V511955. assign V246274 = V462718. assign V758657 = V421675 + 1. assign V757324 = V287965. assign V511955 = V015409 - 1. assign V946777 = V438874 - 1. assign V863712 = V862028 - 1. assign V015492 = V424988 + 1. assign V182551 = 8. assign V136981 = V758408. assign V316430 = V080875 - 1. assign V259422 = V285458. assign V572651 = V492807 - 1. assign V145863 = V327815 - 1. assign V399180 = V287965. assign V280891 = V277849 + 1. assign V991249 = V862013. assign V680034 = V844602 + 1. assign V132844 = V200946. assign V360271 = V181679 + 1. assign V223732 = V723007 - 1. assign V650679 = V312120 - 1. assign V982848 = V991249. assign V100091 = V526624 + 1. assign V027790 = V074467. assign V592851 = V498839. assign V744401 = V777228 - 1. assign V180561 = V757324 - 1. assign V429430 = V181679. assign V955513 = V287965 + 1. assign V027266 = V074467. assign V678127 = V182551 - 1. assign V652601 = V223732. assign V916533 = V399180. assign V067931 = V836904 - 1. assign V581108 = V617994 - 1. assign V157905 = V421675. assign V750653 = V287965. assign V275809 = V772942 + 1. assign V285458 = V181679 + 1. assign V835190 = V479253. assign V772942 = V200946 + 1. assign V271671 = V424988 - 1. assign V486592 = V100198 - 1. assign V831759 = V652601 - 1. assign V123880 = V438874 + 1. assign V617994 = V723007 + 1. assign V526624 = V935894 + 1. assign V983676 = V744401 + 1. assign V912584 = V634626 + 1. assign V236881 = V058579 + 1. assign V479253 = V918194. assign V163308 = V989036. assign V509449 = V180561 + 1. assign V836904 = V777228 + 1. assign V016354 = V421675. assign V840250 = V479384 + 1. assign V758408 = V878866 + 1. assign V312120 = V100198 - 1. assign V058579 = V016575 + 1. assign V693714 = V991249 + 1. assign V991322 = V479253. assign V030616 = V758657 - 1. assign V519982 = V586964. assign V074467 = V773176 - 1. assign V057065 = V462718 - 1. assign V369551 = V989036 - 1. assign V516964 = V016354 - 1. assign V161430 = V123880. assign V940663 = V223946 + 1. assign V700976 = V438874. assign V446207 = V421675 + 1. assign V844602 = V492807 - 1. assign V015409 = V080875. assign V870759 = V259422 + 1. assign V438874 = V421675. assign V428468 = V989036. assign V877729 = V572651 + 1. assign V078393 = V277849 + 1. assign V302582 = V758408 - 1. assign V486288 = V277849. assign V489150 = V444935. assign V101947 = V492807 - 1. assign V945692 = V943746 - 1. assign V967323 = V369551 + 1. assign V003978 = V516964 - 1. assign V213607 = V479384 + 1. assign V181679 = V723007 - 1. assign V444935 = V200946 + 1. assign V511882 = V016575. assign V768441 = V369551 + 1. assign V251410 = V479253. assign V327815 = V479253. assign V098510 = V030616 - 1. assign V780721 = V251410 + 1. assign V640952 = V680034 - 1. assign V768628 = V360271 + 1. assign V028650 = V424988. assign V052716 = V758408. assign V862013 = V016575 - 1. assign V586964 = V369551 - 1. assign V735489 = V492807 - 1. assign V878866 = V015409 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV182551 = 8;\n\nFrom these direct assignment(s), we have: \nV678127 = V182551 - 1 = 8 - 1 =7;\nNo other variables can be derived from V678127;\nNo other variables can be derived from V182551;\n\nNow we have done all the calculations. Derived variables are:\nV182551 = 8;\nV678127 = 7;\n\nNow we have finished this problem. ANSWER:\nV182551\n", "role": "assistant" } ]

[ "V965303", "V556213" ]

[ { "content": "<context>\nassign V601910 = V737179 + 1. assign V026604 = V027870. assign V054402 = V939539 + 1. assign V361897 = V352569. assign V283492 = V932704 - 1. assign V737179 = V646754. assign V903586 = V873928 - 1. assign V410656 = V629584 - 1. assign V507515 = V380624. assign V847601 = V312572. assign V893475 = V196088. assign V764118 = V369329. assign V871666 = V015901 + 1. assign V703992 = V027870. assign V783412 = V016781. assign V704271 = V419142 - 1. assign V138100 = V434401 + 1. assign V350459 = V646754 - 1. assign V939539 = V535450 + 1. assign V506972 = V119243 - 1. assign V062102 = V419904 + 1. assign V374113 = V514196 + 1. assign V094758 = V622398 + 1. assign V064547 = V027870. assign V629584 = V646754 + 1. assign V796022 = V159853 + 1. assign V731223 = V545345 - 1. assign V250057 = V494509 - 1. assign V126970 = V629584 - 1. assign V798483 = V124074 - 1. assign V514196 = V285778 - 1. assign V937610 = V670907 + 1. assign V880928 = V338291. assign V918643 = V548553. assign V892003 = V141985 + 1. assign V333843 = V419904. assign V365163 = V704271 - 1. assign V420209 = V174679 + 1. assign V174679 = V737179. assign V622398 = V107583 - 1. assign V159853 = V027870 - 1. assign V338291 = V136766 + 1. assign V676204 = V324318 + 1. assign V571752 = V324318. assign V552762 = V654558. assign V166750 = V670907 + 1. assign V952827 = V543259 - 1. assign V312572 = V939539 - 1. assign V904347 = V374113 - 1. assign V980212 = V498041 - 1. assign V781883 = V171090. assign V419904 = V535450 + 1. assign V932704 = V369329 + 1. assign V334135 = V312572. assign V873928 = V622398 - 1. assign V751370 = V893475 - 1. assign V338550 = V157281. assign V221862 = V535450 + 1. assign V825670 = V914357 + 1. assign V027870 = V609698 - 1. assign V143875 = V746717 - 1. assign V099681 = V764118 + 1. assign V171090 = V352569 + 1. assign V746717 = V419904 - 1. assign V682175 = V055538 - 1. assign V310638 = V543954. assign V191468 = V126970 - 1. assign V178117 = V911066 - 1. assign V654025 = V515024 + 1. assign V352498 = V558723 - 1. assign V670907 = V535450 + 1. assign V789369 = V548553 - 1. assign V119243 = V668354 + 1. assign V719194 = V914357 - 1. assign V592003 = V558723 - 1. assign V419142 = V704283. assign V033083 = V165176 + 1. assign V543259 = V026604. assign V901416 = V609698 + 1. assign V646754 = V107583 - 1. assign V831754 = V682175 - 1. assign V870383 = V191468 + 1. assign V545345 = V781883. assign V396829 = V622398 - 1. assign V439231 = V094758. assign V793862 = V751370. assign V201468 = V136766 - 1. assign V156868 = V822228. assign V165176 = V107583 + 1. assign V515024 = V119243. assign V015901 = V027870 + 1. assign V610964 = V143875 - 1. assign V822228 = V535450. assign V828754 = V622398. assign V141985 = V600120 + 1. assign V507905 = V644210 - 1. assign V973707 = V507905. assign V154495 = V914357. assign V140919 = V141985 - 1. assign V769360 = V552762 + 1. assign V157281 = V196088 - 1. assign V286902 = V600120 - 1. assign V609698 = V622398 + 1. assign V777942 = V552287. assign V394600 = V629584 - 1. assign V467421 = V419904. assign V669009 = V062102 + 1. assign V124074 = V016781. assign V380624 = V646754. assign V484210 = V847601 - 1. assign V388749 = V932704. assign V600120 = V143875 + 1. assign V049605 = V352569 - 1. assign V886918 = V396829. assign V548553 = V380624 - 1. assign V676080 = V157281. assign V946741 = V893475 + 1. assign V352569 = V558723 - 1. assign V154248 = V419904 - 1. assign V558723 = V622398 + 1. assign V654558 = V055538 + 1. assign V911066 = V027870 + 1. assign V704283 = V049605 + 1. assign V164198 = V174679. assign V944959 = V592003 + 1. assign V796040 = V380624 + 1. assign V439126 = V514196. assign V666168 = V903586 - 1. assign V196088 = V646754 - 1. assign V820786 = V629584 + 1. assign V285778 = V467421 + 1. assign V900694 = V088901 + 1. assign V187845 = V394600 + 1. assign V409661 = V143875 - 1. assign V381894 = V094758. assign V088901 = V467421 + 1. assign V535450 = V165176 - 1. assign V914357 = V026604 + 1. assign V387369 = V535450 + 1. assign V434401 = V157281 + 1. assign V467126 = V434401. assign V494509 = V157281. assign V016781 = V027870 - 1. assign V558415 = V676080. assign V369329 = V676204 - 1. assign V129713 = V394600. assign V235514 = V498041. assign V958825 = V704283 - 1. assign V622068 = V352569 - 1. assign V543954 = V419142 - 1. assign V658086 = V507515. assign V552287 = V610190 + 1. assign V038605 = V409661 + 1. assign V043580 = V171090 - 1. assign V752785 = V545345. assign V476319 = V338291 + 1. assign V644210 = V737179 - 1. assign V324318 = V136766. assign V498041 = V196088 - 1. assign V965303 = 7. assign V556213 = V965303. assign V095446 = V796040. assign V113194 = V338291. assign V668354 = V719194. assign V136766 = V381894. assign V759624 = V394600. assign V610190 = V704271 + 1. assign V030671 = V064547 - 1. assign V055538 = V338291 + 1. assign V108167 = V952827 + 1. assign V901614 = V033083 + 1. assign V747933 = V676080.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V601910 = V737179 + 1. assign V026604 = V027870. assign V054402 = V939539 + 1. assign V361897 = V352569. assign V283492 = V932704 - 1. assign V737179 = V646754. assign V903586 = V873928 - 1. assign V410656 = V629584 - 1. assign V507515 = V380624. assign V847601 = V312572. assign V893475 = V196088. assign V764118 = V369329. assign V871666 = V015901 + 1. assign V703992 = V027870. assign V783412 = V016781. assign V704271 = V419142 - 1. assign V138100 = V434401 + 1. assign V350459 = V646754 - 1. assign V939539 = V535450 + 1. assign V506972 = V119243 - 1. assign V062102 = V419904 + 1. assign V374113 = V514196 + 1. assign V094758 = V622398 + 1. assign V064547 = V027870. assign V629584 = V646754 + 1. assign V796022 = V159853 + 1. assign V731223 = V545345 - 1. assign V250057 = V494509 - 1. assign V126970 = V629584 - 1. assign V798483 = V124074 - 1. assign V514196 = V285778 - 1. assign V937610 = V670907 + 1. assign V880928 = V338291. assign V918643 = V548553. assign V892003 = V141985 + 1. assign V333843 = V419904. assign V365163 = V704271 - 1. assign V420209 = V174679 + 1. assign V174679 = V737179. assign V622398 = V107583 - 1. assign V159853 = V027870 - 1. assign V338291 = V136766 + 1. assign V676204 = V324318 + 1. assign V571752 = V324318. assign V552762 = V654558. assign V166750 = V670907 + 1. assign V952827 = V543259 - 1. assign V312572 = V939539 - 1. assign V904347 = V374113 - 1. assign V980212 = V498041 - 1. assign V781883 = V171090. assign V419904 = V535450 + 1. assign V932704 = V369329 + 1. assign V334135 = V312572. assign V873928 = V622398 - 1. assign V751370 = V893475 - 1. assign V338550 = V157281. assign V221862 = V535450 + 1. assign V825670 = V914357 + 1. assign V027870 = V609698 - 1. assign V143875 = V746717 - 1. assign V099681 = V764118 + 1. assign V171090 = V352569 + 1. assign V746717 = V419904 - 1. assign V682175 = V055538 - 1. assign V310638 = V543954. assign V191468 = V126970 - 1. assign V178117 = V911066 - 1. assign V654025 = V515024 + 1. assign V352498 = V558723 - 1. assign V670907 = V535450 + 1. assign V789369 = V548553 - 1. assign V119243 = V668354 + 1. assign V719194 = V914357 - 1. assign V592003 = V558723 - 1. assign V419142 = V704283. assign V033083 = V165176 + 1. assign V543259 = V026604. assign V901416 = V609698 + 1. assign V646754 = V107583 - 1. assign V831754 = V682175 - 1. assign V870383 = V191468 + 1. assign V545345 = V781883. assign V396829 = V622398 - 1. assign V439231 = V094758. assign V793862 = V751370. assign V201468 = V136766 - 1. assign V156868 = V822228. assign V165176 = V107583 + 1. assign V515024 = V119243. assign V015901 = V027870 + 1. assign V610964 = V143875 - 1. assign V822228 = V535450. assign V828754 = V622398. assign V141985 = V600120 + 1. assign V507905 = V644210 - 1. assign V973707 = V507905. assign V154495 = V914357. assign V140919 = V141985 - 1. assign V769360 = V552762 + 1. assign V157281 = V196088 - 1. assign V286902 = V600120 - 1. assign V609698 = V622398 + 1. assign V777942 = V552287. assign V394600 = V629584 - 1. assign V467421 = V419904. assign V669009 = V062102 + 1. assign V124074 = V016781. assign V380624 = V646754. assign V484210 = V847601 - 1. assign V388749 = V932704. assign V600120 = V143875 + 1. assign V049605 = V352569 - 1. assign V886918 = V396829. assign V548553 = V380624 - 1. assign V676080 = V157281. assign V946741 = V893475 + 1. assign V352569 = V558723 - 1. assign V154248 = V419904 - 1. assign V558723 = V622398 + 1. assign V654558 = V055538 + 1. assign V911066 = V027870 + 1. assign V704283 = V049605 + 1. assign V164198 = V174679. assign V944959 = V592003 + 1. assign V796040 = V380624 + 1. assign V439126 = V514196. assign V666168 = V903586 - 1. assign V196088 = V646754 - 1. assign V820786 = V629584 + 1. assign V285778 = V467421 + 1. assign V900694 = V088901 + 1. assign V187845 = V394600 + 1. assign V409661 = V143875 - 1. assign V381894 = V094758. assign V088901 = V467421 + 1. assign V535450 = V165176 - 1. assign V914357 = V026604 + 1. assign V387369 = V535450 + 1. assign V434401 = V157281 + 1. assign V467126 = V434401. assign V494509 = V157281. assign V016781 = V027870 - 1. assign V558415 = V676080. assign V369329 = V676204 - 1. assign V129713 = V394600. assign V235514 = V498041. assign V958825 = V704283 - 1. assign V622068 = V352569 - 1. assign V543954 = V419142 - 1. assign V658086 = V507515. assign V552287 = V610190 + 1. assign V038605 = V409661 + 1. assign V043580 = V171090 - 1. assign V752785 = V545345. assign V476319 = V338291 + 1. assign V644210 = V737179 - 1. assign V324318 = V136766. assign V498041 = V196088 - 1. assign V965303 = 7. assign V556213 = V965303. assign V095446 = V796040. assign V113194 = V338291. assign V668354 = V719194. assign V136766 = V381894. assign V759624 = V394600. assign V610190 = V704271 + 1. assign V030671 = V064547 - 1. assign V055538 = V338291 + 1. assign V108167 = V952827 + 1. assign V901614 = V033083 + 1. assign V747933 = V676080.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV965303 = 7;\n\nFrom these direct assignment(s), we have: \nV556213 = V965303 = 7;\nNo other variables can be derived from V556213;\nNo other variables can be derived from V965303;\n\nNow we have done all the calculations. Derived variables are:\nV965303 = 7;\nV556213 = 7;\n\nNow we have finished this problem. ANSWER:\nV965303, V556213\n", "role": "assistant" } ]

[ "V060852", "V356519" ]

[ { "content": "<context>\nassign V298669 = V519241. assign V372327 = V404968 + 1. assign V406675 = V631680 + 1. assign V782027 = V783337 + 1. assign V456385 = V646660 + 1. assign V119684 = V745739. assign V554754 = V119970. assign V979753 = V993217 + 1. assign V656464 = V587792 + 1. assign V925828 = V003952 - 1. assign V674725 = V639982 - 1. assign V296812 = V639982 - 1. assign V206369 = V631680. assign V450667 = V443881 - 1. assign V588183 = V396103 - 1. assign V091372 = V296812 + 1. assign V082114 = V372785. assign V202394 = V593993 - 1. assign V681257 = V902354 - 1. assign V682576 = V665596 - 1. assign V487454 = V158664 - 1. assign V264177 = V404968 - 1. assign V615839 = V853489 - 1. assign V236640 = V675470 - 1. assign V619266 = V350385 - 1. assign V661129 = V183127. assign V356519 = V060852. assign V443881 = V372785 - 1. assign V965886 = V948883 + 1. assign V334035 = V580320. assign V402966 = V665596 - 1. assign V266878 = V655891. assign V119970 = V298669. assign V201672 = V682576 + 1. assign V183127 = V665596. assign V707342 = V443881 + 1. assign V906103 = V993217 - 1. assign V152499 = V803417 - 1. assign V308486 = V285550 + 1. assign V023250 = V951208 - 1. assign V951181 = V082114 - 1. assign V424056 = V294145. assign V070455 = V588183. assign V580320 = V674725 + 1. assign V646660 = V639982 + 1. assign V745739 = V372785. assign V834504 = V979753. assign V552197 = V531746 - 1. assign V585891 = V639982 - 1. assign V187286 = V285550 - 1. assign V783337 = V296812 + 1. assign V003952 = V948883 + 1. assign V782393 = V873463. assign V346035 = V640816. assign V867102 = V014404. assign V220044 = V385287 + 1. assign V887449 = V294145. assign V294489 = V948761 + 1. assign V187633 = V385287 - 1. assign V466601 = V806390 + 1. assign V129478 = V013720 + 1. assign V947404 = V707929. assign V511442 = V853489. assign V948883 = V053990 + 1. assign V060852 = 7. assign V993217 = V443881 - 1. assign V655891 = V372785 - 1. assign V097953 = V439144 + 1. assign V439144 = V296812 + 1. assign V799940 = V631680 - 1. assign V650612 = V095844 + 1. assign V597163 = V698004 + 1. assign V675470 = V443881. assign V921720 = V927114 - 1. assign V593993 = V463484. assign V014404 = V902354. assign V948761 = V906103. assign V350385 = V519241 - 1. assign V730133 = V083446 - 1. assign V873463 = V264177. assign V853489 = V655891. assign V689208 = V281680 + 1. assign V971982 = V906103 + 1. assign V806390 = V597163 - 1. assign V898630 = V404968. assign V587792 = V698004. assign V803417 = V943197. assign V672607 = V745739. assign V491520 = V675470. assign V927114 = V294145 - 1. assign V059973 = V437145 + 1. assign V631680 = V965886 - 1. assign V437145 = V519241. assign V732815 = V738519. assign V191174 = V614189 - 1. assign V083446 = V597163 - 1. assign V095844 = V346035 - 1. assign V385287 = V655891 + 1. assign V614189 = V806390. assign V829000 = V424056 + 1. assign V047481 = V294145. assign V119041 = V187286. assign V965489 = V244279. assign V931900 = V372785 - 1. assign V196300 = V597163 - 1. assign V902354 = V619266 - 1. assign V244279 = V463484. assign V286294 = V639982. assign V698004 = V931900 - 1. assign V099548 = V619266 + 1. assign V639982 = V372785 - 1. assign V463484 = V201672 + 1. assign V739544 = V167126. assign V665596 = V698004. assign V527030 = V519241. assign V988796 = V014404 + 1. assign V451459 = V639982. assign V404968 = V443881 + 1. assign V412048 = V971982. assign V502918 = V948761. assign V188094 = V943197 - 1. assign V717175 = V887449 - 1. assign V397574 = V350385 - 1. assign V547703 = V059973 + 1. assign V151363 = V187286 - 1. assign V294145 = V372327 + 1. assign V677832 = V463484 + 1. assign V707929 = V439144 + 1. assign V053990 = V698004 + 1. assign V110368 = V206369. assign V324868 = V487454 + 1. assign V810626 = V095844. assign V158664 = V587792. assign V104068 = V466601 - 1. assign V211676 = V201672 + 1. assign V000163 = V450667 - 1. assign V221505 = V456385 + 1. assign V531746 = V974666. assign V118762 = V003952. assign V519241 = V372785. assign V273406 = V948883 + 1. assign V167126 = V646720 - 1. assign V471653 = V014404. assign V396103 = V450667 - 1. assign V256830 = V158664. assign V013720 = V294489 - 1. assign V974666 = V665596 + 1. assign V738005 = V902354 + 1. assign V334769 = V689208 - 1. assign V285550 = V948883. assign V224968 = V588183. assign V281680 = V965886 - 1. assign V287808 = V350385. assign V951208 = V372327 - 1. assign V943197 = V587792. assign V670652 = V281680 + 1. assign V090770 = V191174 - 1. assign V640816 = V296812 + 1. assign V874886 = V527030 - 1. assign V563197 = V531746 + 1. assign V961587 = V554754 + 1. assign V098847 = V971982 - 1. assign V934398 = V931900 - 1. assign V738519 = V287808. assign V712298 = V614189. assign V997241 = V266878. assign V212474 = V003952 + 1. assign V464899 = V206369 - 1. assign V646720 = V412048. assign V803071 = V640816. assign V506235 = V294489. assign V013260 = V372327 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V298669 = V519241. assign V372327 = V404968 + 1. assign V406675 = V631680 + 1. assign V782027 = V783337 + 1. assign V456385 = V646660 + 1. assign V119684 = V745739. assign V554754 = V119970. assign V979753 = V993217 + 1. assign V656464 = V587792 + 1. assign V925828 = V003952 - 1. assign V674725 = V639982 - 1. assign V296812 = V639982 - 1. assign V206369 = V631680. assign V450667 = V443881 - 1. assign V588183 = V396103 - 1. assign V091372 = V296812 + 1. assign V082114 = V372785. assign V202394 = V593993 - 1. assign V681257 = V902354 - 1. assign V682576 = V665596 - 1. assign V487454 = V158664 - 1. assign V264177 = V404968 - 1. assign V615839 = V853489 - 1. assign V236640 = V675470 - 1. assign V619266 = V350385 - 1. assign V661129 = V183127. assign V356519 = V060852. assign V443881 = V372785 - 1. assign V965886 = V948883 + 1. assign V334035 = V580320. assign V402966 = V665596 - 1. assign V266878 = V655891. assign V119970 = V298669. assign V201672 = V682576 + 1. assign V183127 = V665596. assign V707342 = V443881 + 1. assign V906103 = V993217 - 1. assign V152499 = V803417 - 1. assign V308486 = V285550 + 1. assign V023250 = V951208 - 1. assign V951181 = V082114 - 1. assign V424056 = V294145. assign V070455 = V588183. assign V580320 = V674725 + 1. assign V646660 = V639982 + 1. assign V745739 = V372785. assign V834504 = V979753. assign V552197 = V531746 - 1. assign V585891 = V639982 - 1. assign V187286 = V285550 - 1. assign V783337 = V296812 + 1. assign V003952 = V948883 + 1. assign V782393 = V873463. assign V346035 = V640816. assign V867102 = V014404. assign V220044 = V385287 + 1. assign V887449 = V294145. assign V294489 = V948761 + 1. assign V187633 = V385287 - 1. assign V466601 = V806390 + 1. assign V129478 = V013720 + 1. assign V947404 = V707929. assign V511442 = V853489. assign V948883 = V053990 + 1. assign V060852 = 7. assign V993217 = V443881 - 1. assign V655891 = V372785 - 1. assign V097953 = V439144 + 1. assign V439144 = V296812 + 1. assign V799940 = V631680 - 1. assign V650612 = V095844 + 1. assign V597163 = V698004 + 1. assign V675470 = V443881. assign V921720 = V927114 - 1. assign V593993 = V463484. assign V014404 = V902354. assign V948761 = V906103. assign V350385 = V519241 - 1. assign V730133 = V083446 - 1. assign V873463 = V264177. assign V853489 = V655891. assign V689208 = V281680 + 1. assign V971982 = V906103 + 1. assign V806390 = V597163 - 1. assign V898630 = V404968. assign V587792 = V698004. assign V803417 = V943197. assign V672607 = V745739. assign V491520 = V675470. assign V927114 = V294145 - 1. assign V059973 = V437145 + 1. assign V631680 = V965886 - 1. assign V437145 = V519241. assign V732815 = V738519. assign V191174 = V614189 - 1. assign V083446 = V597163 - 1. assign V095844 = V346035 - 1. assign V385287 = V655891 + 1. assign V614189 = V806390. assign V829000 = V424056 + 1. assign V047481 = V294145. assign V119041 = V187286. assign V965489 = V244279. assign V931900 = V372785 - 1. assign V196300 = V597163 - 1. assign V902354 = V619266 - 1. assign V244279 = V463484. assign V286294 = V639982. assign V698004 = V931900 - 1. assign V099548 = V619266 + 1. assign V639982 = V372785 - 1. assign V463484 = V201672 + 1. assign V739544 = V167126. assign V665596 = V698004. assign V527030 = V519241. assign V988796 = V014404 + 1. assign V451459 = V639982. assign V404968 = V443881 + 1. assign V412048 = V971982. assign V502918 = V948761. assign V188094 = V943197 - 1. assign V717175 = V887449 - 1. assign V397574 = V350385 - 1. assign V547703 = V059973 + 1. assign V151363 = V187286 - 1. assign V294145 = V372327 + 1. assign V677832 = V463484 + 1. assign V707929 = V439144 + 1. assign V053990 = V698004 + 1. assign V110368 = V206369. assign V324868 = V487454 + 1. assign V810626 = V095844. assign V158664 = V587792. assign V104068 = V466601 - 1. assign V211676 = V201672 + 1. assign V000163 = V450667 - 1. assign V221505 = V456385 + 1. assign V531746 = V974666. assign V118762 = V003952. assign V519241 = V372785. assign V273406 = V948883 + 1. assign V167126 = V646720 - 1. assign V471653 = V014404. assign V396103 = V450667 - 1. assign V256830 = V158664. assign V013720 = V294489 - 1. assign V974666 = V665596 + 1. assign V738005 = V902354 + 1. assign V334769 = V689208 - 1. assign V285550 = V948883. assign V224968 = V588183. assign V281680 = V965886 - 1. assign V287808 = V350385. assign V951208 = V372327 - 1. assign V943197 = V587792. assign V670652 = V281680 + 1. assign V090770 = V191174 - 1. assign V640816 = V296812 + 1. assign V874886 = V527030 - 1. assign V563197 = V531746 + 1. assign V961587 = V554754 + 1. assign V098847 = V971982 - 1. assign V934398 = V931900 - 1. assign V738519 = V287808. assign V712298 = V614189. assign V997241 = V266878. assign V212474 = V003952 + 1. assign V464899 = V206369 - 1. assign V646720 = V412048. assign V803071 = V640816. assign V506235 = V294489. assign V013260 = V372327 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV060852 = 7;\n\nFrom these direct assignment(s), we have: \nV356519 = V060852 = 7;\nNo other variables can be derived from V356519;\nNo other variables can be derived from V060852;\n\nNow we have done all the calculations. Derived variables are:\nV060852 = 7;\nV356519 = 7;\n\nNow we have finished this problem. ANSWER:\nV060852, V356519\n", "role": "assistant" } ]

[ "V128168" ]

[ { "content": "<context>\nassign V517096 = V911217 - 1. assign V117207 = V404758. assign V469893 = V428330 + 1. assign V421519 = V053613 - 1. assign V372411 = V128168 - 1. assign V229247 = V183134 + 1. assign V386382 = V917817. assign V428330 = V679071 + 1. assign V535117 = V613533. assign V699965 = V410102. assign V305144 = V027185 + 1. assign V367360 = V153974 - 1. assign V076857 = V742269. assign V410102 = V395985. assign V334745 = V694120. assign V692857 = V153974 + 1. assign V445835 = V408319 + 1. assign V750093 = V451369 + 1. assign V812475 = V108267 - 1. assign V328415 = V932979 - 1. assign V351379 = V314907 + 1. assign V072002 = V917817 + 1. assign V139109 = V851745 + 1. assign V133583 = V917817 + 1. assign V694120 = V117207. assign V518106 = V953625 - 1. assign V314907 = V139408. assign V224093 = V922167. assign V932979 = V202224 - 1. assign V120985 = V895157 + 1. assign V369811 = V133583 - 1. assign V388204 = V328415. assign V775769 = V917817 + 1. assign V643586 = V054761 - 1. assign V183134 = V359876 - 1. assign V879969 = V316509 + 1. assign V988893 = V465436 + 1. assign V825772 = V826961 + 1. assign V574445 = V108267 + 1. assign V368373 = V375542. assign V177361 = V054761. assign V117417 = V202224. assign V027185 = V054761 + 1. assign V529828 = V274468 + 1. assign V690485 = V108267. assign V895157 = V153974 - 1. assign V058179 = V375542. assign V741492 = V270020. assign V392720 = V897169 - 1. assign V268350 = V469893. assign V340174 = V797496 + 1. assign V679071 = V517096. assign V532398 = V458019 + 1. assign V451369 = V139109 + 1. assign V917817 = V139109 + 1. assign V100328 = V274759. assign V922167 = V895157 - 1. assign V599036 = V897169 + 1. assign V633140 = V626481 + 1. assign V793492 = V316509 + 1. assign V740605 = V750093 + 1. assign V299441 = V750093. assign V443490 = V953625 - 1. assign V201917 = V133583. assign V108267 = V053613. assign V395985 = V851745 + 1. assign V949984 = V314907 + 1. assign V604305 = V177361. assign V644053 = V724824 + 1. assign V210916 = V723818 + 1. assign V002516 = V932979. assign V840170 = V692857 - 1. assign V197194 = V912848 + 1. assign V153974 = V395985 + 1. assign V667920 = V386382 + 1. assign V945652 = V153974 - 1. assign V897169 = V912848 - 1. assign V012526 = V140311 + 1. assign V956445 = V002516. assign V401991 = V202224 - 1. assign V723818 = V404758 - 1. assign V054761 = V316509 + 1. assign V625860 = V359876 - 1. assign V911057 = V202224. assign V741000 = V178597. assign V953625 = V879969 - 1. assign V404758 = V202224 - 1. assign V742269 = V202224 + 1. assign V174793 = V535117. assign V611286 = V679071 + 1. assign V557896 = V639364 - 1. assign V897448 = V911217 - 1. assign V942802 = V027185 + 1. assign V319593 = V932979 + 1. assign V110990 = V375542 + 1. assign V959034 = V797496 - 1. assign V871516 = V271754 - 1. assign V657412 = V732651 - 1. assign V415517 = V542457 + 1. assign V053613 = V911217 + 1. assign V202224 = V911217 - 1. assign V515882 = V574445 + 1. assign V271754 = V002516. assign V316509 = V911217. assign V991431 = V076857 + 1. assign V465436 = V299441 - 1. assign V861081 = V851745 + 1. assign V954090 = V153974. assign V302618 = V917817 + 1. assign V392083 = V517096 - 1. assign V805481 = V375542. assign V375542 = V679071 + 1. assign V294312 = V897169 - 1. assign V178597 = V956445 + 1. assign V270020 = V316509 - 1. assign V933753 = V153974 + 1. assign V639364 = V108267. assign V202059 = V461585. assign V809483 = V458019 + 1. assign V665634 = V461585 + 1. assign V613533 = V270020 + 1. assign V962854 = V054761. assign V035165 = V314907 + 1. assign V797496 = V966691. assign V461585 = V421519. assign V542457 = V724824 + 1. assign V651066 = V118093. assign V912848 = V793492. assign V374102 = V626481 + 1. assign V494811 = V517096 + 1. assign V408319 = V694120. assign V527431 = V369811 - 1. assign V541609 = V302618 + 1. assign V139408 = V395985 + 1. assign V650294 = V002516 - 1. assign V274468 = V002516. assign V954949 = V945652 - 1. assign V626481 = V517096 + 1. assign V026788 = V160245. assign V502531 = V012526 - 1. assign V335615 = V196259 + 1. assign V970394 = V395985 + 1. assign V118093 = V895157 - 1. assign V966691 = V421519 + 1. assign V035938 = V613533 + 1. assign V724824 = V613533 - 1. assign V755067 = V133583. assign V140311 = V054761. assign V826961 = V316509 + 1. assign V578733 = V224093 - 1. assign V686083 = V177361 + 1. assign V587335 = V002516. assign V531473 = V694120 + 1. assign V399986 = V851745 - 1. assign V185049 = V604305 - 1. assign V016065 = V202224. assign V285339 = V461585 - 1. assign V798825 = V002516 + 1. assign V730694 = V639364 - 1. assign V677257 = V557896. assign V528465 = V954090 + 1. assign V732651 = V469893 + 1. assign V458019 = V375542 + 1. assign V743354 = V053613 - 1. assign V851745 = V911217 + 1. assign V779963 = V917817 + 1. assign V938436 = V732651 - 1. assign V160245 = V140311. assign V359876 = V316509 + 1. assign V196259 = V386382. assign V274759 = V643586. assign V128168 = 7.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V517096 = V911217 - 1. assign V117207 = V404758. assign V469893 = V428330 + 1. assign V421519 = V053613 - 1. assign V372411 = V128168 - 1. assign V229247 = V183134 + 1. assign V386382 = V917817. assign V428330 = V679071 + 1. assign V535117 = V613533. assign V699965 = V410102. assign V305144 = V027185 + 1. assign V367360 = V153974 - 1. assign V076857 = V742269. assign V410102 = V395985. assign V334745 = V694120. assign V692857 = V153974 + 1. assign V445835 = V408319 + 1. assign V750093 = V451369 + 1. assign V812475 = V108267 - 1. assign V328415 = V932979 - 1. assign V351379 = V314907 + 1. assign V072002 = V917817 + 1. assign V139109 = V851745 + 1. assign V133583 = V917817 + 1. assign V694120 = V117207. assign V518106 = V953625 - 1. assign V314907 = V139408. assign V224093 = V922167. assign V932979 = V202224 - 1. assign V120985 = V895157 + 1. assign V369811 = V133583 - 1. assign V388204 = V328415. assign V775769 = V917817 + 1. assign V643586 = V054761 - 1. assign V183134 = V359876 - 1. assign V879969 = V316509 + 1. assign V988893 = V465436 + 1. assign V825772 = V826961 + 1. assign V574445 = V108267 + 1. assign V368373 = V375542. assign V177361 = V054761. assign V117417 = V202224. assign V027185 = V054761 + 1. assign V529828 = V274468 + 1. assign V690485 = V108267. assign V895157 = V153974 - 1. assign V058179 = V375542. assign V741492 = V270020. assign V392720 = V897169 - 1. assign V268350 = V469893. assign V340174 = V797496 + 1. assign V679071 = V517096. assign V532398 = V458019 + 1. assign V451369 = V139109 + 1. assign V917817 = V139109 + 1. assign V100328 = V274759. assign V922167 = V895157 - 1. assign V599036 = V897169 + 1. assign V633140 = V626481 + 1. assign V793492 = V316509 + 1. assign V740605 = V750093 + 1. assign V299441 = V750093. assign V443490 = V953625 - 1. assign V201917 = V133583. assign V108267 = V053613. assign V395985 = V851745 + 1. assign V949984 = V314907 + 1. assign V604305 = V177361. assign V644053 = V724824 + 1. assign V210916 = V723818 + 1. assign V002516 = V932979. assign V840170 = V692857 - 1. assign V197194 = V912848 + 1. assign V153974 = V395985 + 1. assign V667920 = V386382 + 1. assign V945652 = V153974 - 1. assign V897169 = V912848 - 1. assign V012526 = V140311 + 1. assign V956445 = V002516. assign V401991 = V202224 - 1. assign V723818 = V404758 - 1. assign V054761 = V316509 + 1. assign V625860 = V359876 - 1. assign V911057 = V202224. assign V741000 = V178597. assign V953625 = V879969 - 1. assign V404758 = V202224 - 1. assign V742269 = V202224 + 1. assign V174793 = V535117. assign V611286 = V679071 + 1. assign V557896 = V639364 - 1. assign V897448 = V911217 - 1. assign V942802 = V027185 + 1. assign V319593 = V932979 + 1. assign V110990 = V375542 + 1. assign V959034 = V797496 - 1. assign V871516 = V271754 - 1. assign V657412 = V732651 - 1. assign V415517 = V542457 + 1. assign V053613 = V911217 + 1. assign V202224 = V911217 - 1. assign V515882 = V574445 + 1. assign V271754 = V002516. assign V316509 = V911217. assign V991431 = V076857 + 1. assign V465436 = V299441 - 1. assign V861081 = V851745 + 1. assign V954090 = V153974. assign V302618 = V917817 + 1. assign V392083 = V517096 - 1. assign V805481 = V375542. assign V375542 = V679071 + 1. assign V294312 = V897169 - 1. assign V178597 = V956445 + 1. assign V270020 = V316509 - 1. assign V933753 = V153974 + 1. assign V639364 = V108267. assign V202059 = V461585. assign V809483 = V458019 + 1. assign V665634 = V461585 + 1. assign V613533 = V270020 + 1. assign V962854 = V054761. assign V035165 = V314907 + 1. assign V797496 = V966691. assign V461585 = V421519. assign V542457 = V724824 + 1. assign V651066 = V118093. assign V912848 = V793492. assign V374102 = V626481 + 1. assign V494811 = V517096 + 1. assign V408319 = V694120. assign V527431 = V369811 - 1. assign V541609 = V302618 + 1. assign V139408 = V395985 + 1. assign V650294 = V002516 - 1. assign V274468 = V002516. assign V954949 = V945652 - 1. assign V626481 = V517096 + 1. assign V026788 = V160245. assign V502531 = V012526 - 1. assign V335615 = V196259 + 1. assign V970394 = V395985 + 1. assign V118093 = V895157 - 1. assign V966691 = V421519 + 1. assign V035938 = V613533 + 1. assign V724824 = V613533 - 1. assign V755067 = V133583. assign V140311 = V054761. assign V826961 = V316509 + 1. assign V578733 = V224093 - 1. assign V686083 = V177361 + 1. assign V587335 = V002516. assign V531473 = V694120 + 1. assign V399986 = V851745 - 1. assign V185049 = V604305 - 1. assign V016065 = V202224. assign V285339 = V461585 - 1. assign V798825 = V002516 + 1. assign V730694 = V639364 - 1. assign V677257 = V557896. assign V528465 = V954090 + 1. assign V732651 = V469893 + 1. assign V458019 = V375542 + 1. assign V743354 = V053613 - 1. assign V851745 = V911217 + 1. assign V779963 = V917817 + 1. assign V938436 = V732651 - 1. assign V160245 = V140311. assign V359876 = V316509 + 1. assign V196259 = V386382. assign V274759 = V643586. assign V128168 = 7.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 7.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV128168 = 7;\n\nFrom these direct assignment(s), we have: \nV372411 = V128168 - 1 = 7 - 1 =6;\nNo other variables can be derived from V372411;\nNo other variables can be derived from V128168;\n\nNow we have done all the calculations. Derived variables are:\nV128168 = 7;\nV372411 = 6;\n\nNow we have finished this problem. ANSWER:\nV128168\n", "role": "assistant" } ]

[ "V278714", "V676132" ]

[ { "content": "<context>\nassign V868970 = V478523. assign V172808 = V588212 - 1. assign V946323 = V775960 - 1. assign V711359 = V401756. assign V883266 = V191259 - 1. assign V440941 = V473264 - 1. assign V757107 = V171744. assign V387555 = V215349. assign V423384 = V649233 - 1. assign V695240 = V045424 - 1. assign V057823 = V352478 - 1. assign V274350 = V312720. assign V775539 = V986169. assign V466111 = V354605. assign V372481 = V215349. assign V808983 = V627821 + 1. assign V986169 = V687181 - 1. assign V976223 = V681063 + 1. assign V215349 = V883266. assign V843446 = V478523. assign V366122 = V274350 + 1. assign V538726 = V649233. assign V601158 = V843993 - 1. assign V973235 = V171744. assign V033367 = V986169 - 1. assign V632666 = V354605 - 1. assign V115858 = V973235. assign V174046 = V204008 + 1. assign V165129 = V147109 - 1. assign V840635 = V923444 + 1. assign V287728 = V756056. assign V052984 = V287728 - 1. assign V900666 = V379855 - 1. assign V045424 = V469836 + 1. assign V652239 = V005272 + 1. assign V352478 = V312720 + 1. assign V282997 = V883266 - 1. assign V750986 = V843446. assign V355148 = V025685. assign V274368 = V610349 + 1. assign V013667 = V775960. assign V846126 = V632666 - 1. assign V811734 = V614297 + 1. assign V179187 = V086643. assign V139054 = V627821. assign V454154 = V438715. assign V348041 = V335026 - 1. assign V705190 = V569962. assign V401756 = V782510. assign V091336 = V610349 + 1. assign V541116 = V348041. assign V983042 = V055607 + 1. assign V627821 = V372481 - 1. assign V717115 = V171744. assign V311920 = V640146 - 1. assign V383375 = V352478 + 1. assign V489886 = V478523 + 1. assign V961131 = V260973. assign V843142 = V667158. assign V923444 = V470584. assign V569962 = V478523. assign V171744 = V569962. assign V511233 = V215349 - 1. assign V963074 = V401756. assign V709943 = V068118 - 1. assign V126062 = V188269 + 1. assign V954583 = V954324. assign V745055 = V064159 - 1. assign V756450 = V884894. assign V024490 = V980232. assign V782510 = V756056 - 1. assign V649233 = V976223 - 1. assign V687181 = V489886 + 1. assign V597896 = V954324 + 1. assign V473264 = V250673 - 1. assign V379278 = V561295 + 1. assign V072967 = V489886 + 1. assign V142694 = V569962 - 1. assign V610349 = V478523 + 1. assign V581671 = V705190 + 1. assign V829571 = V321092 - 1. assign V271370 = V966005 + 1. assign V436814 = V237590. assign V756056 = V174046. assign V168240 = V204008 - 1. assign V035608 = V571411 - 1. assign V110735 = V478523 - 1. assign V058789 = V775960. assign V569474 = V569962 + 1. assign V954324 = V892664. assign V045384 = V372481 + 1. assign V237590 = V312720. assign V478155 = V379855 - 1. assign V279278 = V092817 - 1. assign V244704 = V454154 + 1. assign V799453 = V250673 - 1. assign V155536 = V757107 + 1. assign V421520 = V287728. assign V285810 = V921741 - 1. assign V064159 = V438715 + 1. assign V676132 = V278714. assign V055889 = V024490 - 1. assign V438715 = V511233 + 1. assign V036281 = V718378. assign V775960 = V237590 + 1. assign V086643 = V387555 + 1. assign V718378 = V052984. assign V881997 = V853838 + 1. assign V993229 = V469836 - 1. assign V512449 = V454154. assign V681063 = V489886 + 1. assign V383748 = V695240 - 1. assign V717106 = V528612. assign V980232 = V244704 - 1. assign V278714 = 9. assign V538277 = V379278 + 1. assign V188269 = V528612 - 1. assign V299724 = V976223 - 1. assign V555924 = V188269 + 1. assign V335026 = V237590 - 1. assign V700820 = V188269 + 1. assign V055607 = V717106 + 1. assign V591589 = V155536 - 1. assign V667158 = V528612 - 1. assign V528612 = V171744. assign V067726 = V171744. assign V040136 = V569962 - 1. assign V617094 = V649233 - 1. assign V834510 = V172808 - 1. assign V005272 = V282997. assign V921741 = V717106 - 1. assign V092817 = V086643 - 1. assign V561295 = V237590 + 1. assign V291106 = V705190 - 1. assign V900777 = V379855. assign V740593 = V588212. assign V840418 = V191259 + 1. assign V270013 = V883266 + 1. assign V470584 = V174046 + 1. assign V189928 = V244704 - 1. assign V571411 = V372481 - 1. assign V250673 = V040136 - 1. assign V588212 = V478523. assign V892664 = V352478. assign V210371 = V335026 - 1. assign V260973 = V436814 - 1. assign V513225 = V973235 + 1. assign V843993 = V168240 + 1. assign V469836 = V705190 + 1. assign V614297 = V700820 - 1. assign V808111 = V291106. assign V439072 = V174046 - 1. assign V966005 = V687181 - 1. assign V068118 = V469836 + 1. assign V354605 = V892664. assign V321092 = V025685 + 1. assign V853838 = V401756 + 1. assign V340190 = V237590. assign V312720 = V569962 + 1. assign V834838 = V299724 - 1. assign V693284 = V045424 - 1. assign V204008 = V171744 + 1. assign V122831 = V348041 - 1. assign V191259 = V478523 + 1. assign V884894 = V473264. assign V924271 = V740593 + 1. assign V025685 = V086643. assign V473808 = V884894. assign V147109 = V528612 - 1. assign V749467 = V528612 + 1. assign V640146 = V561295. assign V379855 = V705190 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V868970 = V478523. assign V172808 = V588212 - 1. assign V946323 = V775960 - 1. assign V711359 = V401756. assign V883266 = V191259 - 1. assign V440941 = V473264 - 1. assign V757107 = V171744. assign V387555 = V215349. assign V423384 = V649233 - 1. assign V695240 = V045424 - 1. assign V057823 = V352478 - 1. assign V274350 = V312720. assign V775539 = V986169. assign V466111 = V354605. assign V372481 = V215349. assign V808983 = V627821 + 1. assign V986169 = V687181 - 1. assign V976223 = V681063 + 1. assign V215349 = V883266. assign V843446 = V478523. assign V366122 = V274350 + 1. assign V538726 = V649233. assign V601158 = V843993 - 1. assign V973235 = V171744. assign V033367 = V986169 - 1. assign V632666 = V354605 - 1. assign V115858 = V973235. assign V174046 = V204008 + 1. assign V165129 = V147109 - 1. assign V840635 = V923444 + 1. assign V287728 = V756056. assign V052984 = V287728 - 1. assign V900666 = V379855 - 1. assign V045424 = V469836 + 1. assign V652239 = V005272 + 1. assign V352478 = V312720 + 1. assign V282997 = V883266 - 1. assign V750986 = V843446. assign V355148 = V025685. assign V274368 = V610349 + 1. assign V013667 = V775960. assign V846126 = V632666 - 1. assign V811734 = V614297 + 1. assign V179187 = V086643. assign V139054 = V627821. assign V454154 = V438715. assign V348041 = V335026 - 1. assign V705190 = V569962. assign V401756 = V782510. assign V091336 = V610349 + 1. assign V541116 = V348041. assign V983042 = V055607 + 1. assign V627821 = V372481 - 1. assign V717115 = V171744. assign V311920 = V640146 - 1. assign V383375 = V352478 + 1. assign V489886 = V478523 + 1. assign V961131 = V260973. assign V843142 = V667158. assign V923444 = V470584. assign V569962 = V478523. assign V171744 = V569962. assign V511233 = V215349 - 1. assign V963074 = V401756. assign V709943 = V068118 - 1. assign V126062 = V188269 + 1. assign V954583 = V954324. assign V745055 = V064159 - 1. assign V756450 = V884894. assign V024490 = V980232. assign V782510 = V756056 - 1. assign V649233 = V976223 - 1. assign V687181 = V489886 + 1. assign V597896 = V954324 + 1. assign V473264 = V250673 - 1. assign V379278 = V561295 + 1. assign V072967 = V489886 + 1. assign V142694 = V569962 - 1. assign V610349 = V478523 + 1. assign V581671 = V705190 + 1. assign V829571 = V321092 - 1. assign V271370 = V966005 + 1. assign V436814 = V237590. assign V756056 = V174046. assign V168240 = V204008 - 1. assign V035608 = V571411 - 1. assign V110735 = V478523 - 1. assign V058789 = V775960. assign V569474 = V569962 + 1. assign V954324 = V892664. assign V045384 = V372481 + 1. assign V237590 = V312720. assign V478155 = V379855 - 1. assign V279278 = V092817 - 1. assign V244704 = V454154 + 1. assign V799453 = V250673 - 1. assign V155536 = V757107 + 1. assign V421520 = V287728. assign V285810 = V921741 - 1. assign V064159 = V438715 + 1. assign V676132 = V278714. assign V055889 = V024490 - 1. assign V438715 = V511233 + 1. assign V036281 = V718378. assign V775960 = V237590 + 1. assign V086643 = V387555 + 1. assign V718378 = V052984. assign V881997 = V853838 + 1. assign V993229 = V469836 - 1. assign V512449 = V454154. assign V681063 = V489886 + 1. assign V383748 = V695240 - 1. assign V717106 = V528612. assign V980232 = V244704 - 1. assign V278714 = 9. assign V538277 = V379278 + 1. assign V188269 = V528612 - 1. assign V299724 = V976223 - 1. assign V555924 = V188269 + 1. assign V335026 = V237590 - 1. assign V700820 = V188269 + 1. assign V055607 = V717106 + 1. assign V591589 = V155536 - 1. assign V667158 = V528612 - 1. assign V528612 = V171744. assign V067726 = V171744. assign V040136 = V569962 - 1. assign V617094 = V649233 - 1. assign V834510 = V172808 - 1. assign V005272 = V282997. assign V921741 = V717106 - 1. assign V092817 = V086643 - 1. assign V561295 = V237590 + 1. assign V291106 = V705190 - 1. assign V900777 = V379855. assign V740593 = V588212. assign V840418 = V191259 + 1. assign V270013 = V883266 + 1. assign V470584 = V174046 + 1. assign V189928 = V244704 - 1. assign V571411 = V372481 - 1. assign V250673 = V040136 - 1. assign V588212 = V478523. assign V892664 = V352478. assign V210371 = V335026 - 1. assign V260973 = V436814 - 1. assign V513225 = V973235 + 1. assign V843993 = V168240 + 1. assign V469836 = V705190 + 1. assign V614297 = V700820 - 1. assign V808111 = V291106. assign V439072 = V174046 - 1. assign V966005 = V687181 - 1. assign V068118 = V469836 + 1. assign V354605 = V892664. assign V321092 = V025685 + 1. assign V853838 = V401756 + 1. assign V340190 = V237590. assign V312720 = V569962 + 1. assign V834838 = V299724 - 1. assign V693284 = V045424 - 1. assign V204008 = V171744 + 1. assign V122831 = V348041 - 1. assign V191259 = V478523 + 1. assign V884894 = V473264. assign V924271 = V740593 + 1. assign V025685 = V086643. assign V473808 = V884894. assign V147109 = V528612 - 1. assign V749467 = V528612 + 1. assign V640146 = V561295. assign V379855 = V705190 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV278714 = 9;\n\nFrom these direct assignment(s), we have: \nV676132 = V278714 = 9;\nNo other variables can be derived from V676132;\nNo other variables can be derived from V278714;\n\nNow we have done all the calculations. Derived variables are:\nV278714 = 9;\nV676132 = 9;\n\nNow we have finished this problem. ANSWER:\nV278714, V676132\n", "role": "assistant" } ]

[ "V193949" ]

[ { "content": "<context>\nassign V702493 = V856095. assign V597336 = V690782. assign V968559 = V452406 - 1. assign V878737 = V288104 + 1. assign V204001 = V682800. assign V786777 = V300062 + 1. assign V045857 = V189590 - 1. assign V664953 = V359747 + 1. assign V012460 = V353337 - 1. assign V819923 = V892160 - 1. assign V638534 = V581326 - 1. assign V786722 = V740951 + 1. assign V533120 = V810254. assign V225345 = V109079 + 1. assign V677722 = V029724. assign V295323 = V667102. assign V165103 = V321877 + 1. assign V068197 = V740951. assign V470921 = V810254. assign V288104 = V063160 - 1. assign V007253 = V421382. assign V683787 = V756118 - 1. assign V169810 = V295323 + 1. assign V402441 = V787241 - 1. assign V720871 = V581326 - 1. assign V034771 = V204339 + 1. assign V512541 = V060041 + 1. assign V035559 = V225345. assign V029724 = V421382 - 1. assign V527018 = V649275 + 1. assign V630116 = V501258 - 1. assign V050714 = V972977 - 1. assign V838353 = V649275 + 1. assign V467705 = V204001 + 1. assign V327527 = V163834 - 1. assign V083272 = V145250. assign V321877 = V667102 + 1. assign V226683 = V856095 + 1. assign V057228 = V856095. assign V488850 = V302751 - 1. assign V561127 = V012460 - 1. assign V328047 = V484475 - 1. assign V721076 = V172833 - 1. assign V400831 = V717469 + 1. assign V778276 = V649275 + 1. assign V379109 = V083272 - 1. assign V248173 = V608986 + 1. assign V467593 = V838353. assign V427271 = V328047 - 1. assign V818886 = V167021 - 1. assign V817317 = V356292. assign V972977 = V079548 - 1. assign V472943 = V838353 - 1. assign V810254 = V755486 + 1. assign V521378 = V353337. assign V742197 = V199830. assign V302751 = V400831 - 1. assign V755486 = V717469. assign V343857 = V302751 + 1. assign V253098 = V225345. assign V279509 = V488850 + 1. assign V172833 = V124764 + 1. assign V770312 = V856095 + 1. assign V549787 = V279509 + 1. assign V845759 = V810254. assign V154957 = V968559 - 1. assign V193949 = V849668 - 1. assign V235432 = V740951 - 1. assign V260316 = V004309 - 1. assign V946324 = V664953 + 1. assign V378226 = V684481 + 1. assign V352132 = V838353 - 1. assign V512749 = V203065 + 1. assign V359747 = V649275 - 1. assign V850953 = V079548. assign V770046 = V834195 - 1. assign V276399 = V326520. assign V430915 = V321877 - 1. assign V759038 = V845809. assign V683167 = V683787 - 1. assign V888988 = V759038. assign V183294 = V352132. assign V075231 = V786777 - 1. assign V316011 = V199830 + 1. assign V501258 = V810254. assign V386103 = V630116 - 1. assign V189590 = V302751 - 1. assign V124764 = V894570 - 1. assign V625495 = V360886 - 1. assign V101525 = V504859 + 1. assign V701176 = V132095 + 1. assign V854398 = V717777 - 1. assign V095460 = V075231 - 1. assign V682800 = V759038 - 1. assign V670260 = V939049. assign V190313 = V683167. assign V608986 = V649275 + 1. assign V787241 = V683787. assign V296923 = V181956. assign V581326 = V608986 - 1. assign V684481 = V968559 - 1. assign V914561 = V004309 + 1. assign V332291 = V787241. assign V063160 = V801573 + 1. assign V145250 = V939049. assign V430862 = V968559 - 1. assign V093213 = V684481. assign V856095 = V167021. assign V684557 = V343857 - 1. assign V845809 = V717469. assign V892318 = V145250 - 1. assign V717777 = V801573. assign V163834 = V260316 + 1. assign V801573 = V488850 + 1. assign V740951 = V845809. assign V892160 = V253098 + 1. assign V690782 = V295323 + 1. assign V167021 = V939049 + 1. assign V894570 = V838353 + 1. assign V502217 = V786722. assign V737902 = V225345 + 1. assign V939049 = V400831 + 1. assign V353337 = V356292 - 1. assign V280249 = V288104. assign V504859 = V190313. assign V527827 = V666089 - 1. assign V255698 = V300062 - 1. assign V305521 = V343857 - 1. assign V109150 = V937493 - 1. assign V666089 = V083272 - 1. assign V054237 = V167021 - 1. assign V937493 = V145250 - 1. assign V733552 = V894570 - 1. assign V251377 = V326520 + 1. assign V452406 = V075231 - 1. assign V667102 = V649275 + 1. assign V805066 = V356292 + 1. assign V132095 = V786777 + 1. assign V203065 = V818886 - 1. assign V849668 = 2. assign V756118 = V199830 - 1. assign V990425 = V007253 + 1. assign V045890 = V343857 - 1. assign V717469 = V300062 - 1. assign V109079 = V300062 - 1. assign V391825 = V225345 + 1. assign V532816 = V260316 + 1. assign V004309 = V717469 - 1. assign V281407 = V035559 + 1. assign V356292 = V649275. assign V421382 = V343857 + 1. assign V868534 = V472943 - 1. assign V789332 = V255698 + 1. assign V060041 = V203065 + 1. assign V592853 = V801573. assign V360886 = V004309 + 1. assign V649275 = V302751 + 1. assign V834195 = V075231 - 1. assign V967579 = V145250. assign V079548 = V300062. assign V738333 = V755486. assign V692042 = V199830 - 1. assign V842894 = V972977 - 1. assign V431770 = V755486 - 1. assign V181956 = V787241. assign V672744 = V581326 + 1. assign V761382 = V181956 + 1. assign V484475 = V004309 + 1. assign V378550 = V204339 + 1. assign V326520 = V801573 - 1. assign V204339 = V004309 + 1. assign V199830 = V255698.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V702493 = V856095. assign V597336 = V690782. assign V968559 = V452406 - 1. assign V878737 = V288104 + 1. assign V204001 = V682800. assign V786777 = V300062 + 1. assign V045857 = V189590 - 1. assign V664953 = V359747 + 1. assign V012460 = V353337 - 1. assign V819923 = V892160 - 1. assign V638534 = V581326 - 1. assign V786722 = V740951 + 1. assign V533120 = V810254. assign V225345 = V109079 + 1. assign V677722 = V029724. assign V295323 = V667102. assign V165103 = V321877 + 1. assign V068197 = V740951. assign V470921 = V810254. assign V288104 = V063160 - 1. assign V007253 = V421382. assign V683787 = V756118 - 1. assign V169810 = V295323 + 1. assign V402441 = V787241 - 1. assign V720871 = V581326 - 1. assign V034771 = V204339 + 1. assign V512541 = V060041 + 1. assign V035559 = V225345. assign V029724 = V421382 - 1. assign V527018 = V649275 + 1. assign V630116 = V501258 - 1. assign V050714 = V972977 - 1. assign V838353 = V649275 + 1. assign V467705 = V204001 + 1. assign V327527 = V163834 - 1. assign V083272 = V145250. assign V321877 = V667102 + 1. assign V226683 = V856095 + 1. assign V057228 = V856095. assign V488850 = V302751 - 1. assign V561127 = V012460 - 1. assign V328047 = V484475 - 1. assign V721076 = V172833 - 1. assign V400831 = V717469 + 1. assign V778276 = V649275 + 1. assign V379109 = V083272 - 1. assign V248173 = V608986 + 1. assign V467593 = V838353. assign V427271 = V328047 - 1. assign V818886 = V167021 - 1. assign V817317 = V356292. assign V972977 = V079548 - 1. assign V472943 = V838353 - 1. assign V810254 = V755486 + 1. assign V521378 = V353337. assign V742197 = V199830. assign V302751 = V400831 - 1. assign V755486 = V717469. assign V343857 = V302751 + 1. assign V253098 = V225345. assign V279509 = V488850 + 1. assign V172833 = V124764 + 1. assign V770312 = V856095 + 1. assign V549787 = V279509 + 1. assign V845759 = V810254. assign V154957 = V968559 - 1. assign V193949 = V849668 - 1. assign V235432 = V740951 - 1. assign V260316 = V004309 - 1. assign V946324 = V664953 + 1. assign V378226 = V684481 + 1. assign V352132 = V838353 - 1. assign V512749 = V203065 + 1. assign V359747 = V649275 - 1. assign V850953 = V079548. assign V770046 = V834195 - 1. assign V276399 = V326520. assign V430915 = V321877 - 1. assign V759038 = V845809. assign V683167 = V683787 - 1. assign V888988 = V759038. assign V183294 = V352132. assign V075231 = V786777 - 1. assign V316011 = V199830 + 1. assign V501258 = V810254. assign V386103 = V630116 - 1. assign V189590 = V302751 - 1. assign V124764 = V894570 - 1. assign V625495 = V360886 - 1. assign V101525 = V504859 + 1. assign V701176 = V132095 + 1. assign V854398 = V717777 - 1. assign V095460 = V075231 - 1. assign V682800 = V759038 - 1. assign V670260 = V939049. assign V190313 = V683167. assign V608986 = V649275 + 1. assign V787241 = V683787. assign V296923 = V181956. assign V581326 = V608986 - 1. assign V684481 = V968559 - 1. assign V914561 = V004309 + 1. assign V332291 = V787241. assign V063160 = V801573 + 1. assign V145250 = V939049. assign V430862 = V968559 - 1. assign V093213 = V684481. assign V856095 = V167021. assign V684557 = V343857 - 1. assign V845809 = V717469. assign V892318 = V145250 - 1. assign V717777 = V801573. assign V163834 = V260316 + 1. assign V801573 = V488850 + 1. assign V740951 = V845809. assign V892160 = V253098 + 1. assign V690782 = V295323 + 1. assign V167021 = V939049 + 1. assign V894570 = V838353 + 1. assign V502217 = V786722. assign V737902 = V225345 + 1. assign V939049 = V400831 + 1. assign V353337 = V356292 - 1. assign V280249 = V288104. assign V504859 = V190313. assign V527827 = V666089 - 1. assign V255698 = V300062 - 1. assign V305521 = V343857 - 1. assign V109150 = V937493 - 1. assign V666089 = V083272 - 1. assign V054237 = V167021 - 1. assign V937493 = V145250 - 1. assign V733552 = V894570 - 1. assign V251377 = V326520 + 1. assign V452406 = V075231 - 1. assign V667102 = V649275 + 1. assign V805066 = V356292 + 1. assign V132095 = V786777 + 1. assign V203065 = V818886 - 1. assign V849668 = 2. assign V756118 = V199830 - 1. assign V990425 = V007253 + 1. assign V045890 = V343857 - 1. assign V717469 = V300062 - 1. assign V109079 = V300062 - 1. assign V391825 = V225345 + 1. assign V532816 = V260316 + 1. assign V004309 = V717469 - 1. assign V281407 = V035559 + 1. assign V356292 = V649275. assign V421382 = V343857 + 1. assign V868534 = V472943 - 1. assign V789332 = V255698 + 1. assign V060041 = V203065 + 1. assign V592853 = V801573. assign V360886 = V004309 + 1. assign V649275 = V302751 + 1. assign V834195 = V075231 - 1. assign V967579 = V145250. assign V079548 = V300062. assign V738333 = V755486. assign V692042 = V199830 - 1. assign V842894 = V972977 - 1. assign V431770 = V755486 - 1. assign V181956 = V787241. assign V672744 = V581326 + 1. assign V761382 = V181956 + 1. assign V484475 = V004309 + 1. assign V378550 = V204339 + 1. assign V326520 = V801573 - 1. assign V204339 = V004309 + 1. assign V199830 = V255698.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV849668 = 2;\n\nFrom these direct assignment(s), we have: \nV193949 = V849668 - 1 = 2 - 1 =1;\nNo other variables can be derived from V193949;\nNo other variables can be derived from V849668;\n\nNow we have done all the calculations. Derived variables are:\nV849668 = 2;\nV193949 = 1;\n\nNow we have finished this problem. ANSWER:\nV193949\n", "role": "assistant" } ]

[ "V994539" ]

[ { "content": "<context>\nassign V415409 = V803470 + 1. assign V197718 = V297343 - 1. assign V695010 = V939287 + 1. assign V020003 = V043134. assign V487352 = V121680 + 1. assign V429780 = V254345 - 1. assign V572595 = V695010 - 1. assign V419736 = V293277 - 1. assign V266566 = V053080. assign V875182 = V223273. assign V220179 = V709346. assign V301342 = V325550 - 1. assign V999480 = V043134 - 1. assign V807100 = V680141 + 1. assign V462470 = V736392 + 1. assign V808699 = V041050. assign V063121 = V219273 + 1. assign V874621 = V462470 - 1. assign V233788 = V053080. assign V822727 = V529749 - 1. assign V121680 = V755771. assign V224371 = V257087 - 1. assign V750620 = V874621 - 1. assign V312378 = V291731. assign V146964 = V991492 + 1. assign V495989 = V695010 + 1. assign V160354 = V733229 - 1. assign V487813 = V915804 + 1. assign V685549 = V197718 - 1. assign V365755 = V709346. assign V994539 = 8. assign V373509 = V617171 + 1. assign V882694 = V915804 - 1. assign V644081 = V994539 - 1. assign V119748 = V948325 - 1. assign V313232 = V738144 - 1. assign V332159 = V991492 + 1. assign V281824 = V516443 - 1. assign V439860 = V577754. assign V991492 = V571186 + 1. assign V126031 = V617171. assign V151657 = V293277. assign V073545 = V740889. assign V215409 = V208350 - 1. assign V548328 = V208350 + 1. assign V111396 = V749929. assign V751198 = V208350. assign V529749 = V545917 + 1. assign V856365 = V529749 + 1. assign V488845 = V041667. assign V002305 = V174379 - 1. assign V617171 = V487813 - 1. assign V305482 = V177608 - 1. assign V293277 = V915804. assign V499925 = V708761 + 1. assign V041050 = V991492 - 1. assign V693890 = V617171 + 1. assign V071477 = V814567 + 1. assign V261631 = V462470 + 1. assign V108184 = V365755 + 1. assign V007604 = V291731 + 1. assign V189713 = V915804. assign V412496 = V874621 - 1. assign V083866 = V126031 - 1. assign V516443 = V439860 + 1. assign V733229 = V325550 + 1. assign V680141 = V939287. assign V821218 = V111396. assign V676018 = V709346. assign V702279 = V740889 + 1. assign V701568 = V207061 - 1. assign V053080 = V278508 + 1. assign V704601 = V199868 + 1. assign V736392 = V545917. assign V208350 = V915804 + 1. assign V041667 = V571186 - 1. assign V221816 = V302390 - 1. assign V577754 = V160354. assign V915804 = V297343 + 1. assign V254345 = V407592 + 1. assign V819568 = V740889 + 1. assign V414399 = V821218 + 1. assign V278508 = V749929 + 1. assign V457224 = V695010. assign V775016 = V215409 + 1. assign V288942 = V224371 - 1. assign V255065 = V181722 - 1. assign V986694 = V108184 + 1. assign V824060 = V733229. assign V114402 = V882694 + 1. assign V805623 = V982630. assign V896843 = V545917 + 1. assign V463353 = V111396 - 1. assign V877547 = V257087 - 1. assign V571466 = V233788 + 1. assign V939661 = V242142. assign V174379 = V733229 + 1. assign V683556 = V749929 - 1. assign V199868 = V126512. assign V029021 = V218665 + 1. assign V408464 = V704601. assign V698683 = V160354 - 1. assign V738144 = V043134 + 1. assign V165380 = V803470. assign V475524 = V915804. assign V126512 = V882694. assign V601946 = V613577. assign V056198 = V261631 - 1. assign V948325 = V991492. assign V302390 = V332159 + 1. assign V877361 = V617171 + 1. assign V850036 = V332159. assign V245888 = V464189 + 1. assign V218665 = V982630 - 1. assign V814567 = V242142 - 1. assign V219273 = V093165. assign V150933 = V177608 - 1. assign V576411 = V856365. assign V406546 = V874621. assign V376641 = V260939. assign V547901 = V495989 - 1. assign V407592 = V765115 + 1. assign V393783 = V824060 - 1. assign V476860 = V915804 + 1. assign V702335 = V407592 - 1. assign V257087 = V545917 - 1. assign V713215 = V698683 + 1. assign V325550 = V297343. assign V169399 = V877547 + 1. assign V207061 = V197718 - 1. assign V389685 = V164522 + 1. assign V708761 = V111396 - 1. assign V503582 = V545917 + 1. assign V461769 = V126031 + 1. assign V181722 = V219273 - 1. assign V545917 = V740889 + 1. assign V613577 = V111396 + 1. assign V043134 = V765115 - 1. assign V935835 = V111396 + 1. assign V826510 = V740889 - 1. assign V709346 = V733229. assign V625526 = V896843. assign V395263 = V991492 - 1. assign V803470 = V126031 - 1. assign V346424 = V043134 + 1. assign V093165 = V709346 - 1. assign V749929 = V093165. assign V939287 = V297343 - 1. assign V242142 = V882694 - 1. assign V213221 = V680141. assign V260939 = V824060. assign V116769 = V821218. assign V429720 = V151657. assign V740889 = V915804. assign V464189 = V982630 + 1. assign V674964 = V181722. assign V686962 = V695010. assign V571186 = V297343 + 1. assign V177608 = V713215. assign V164522 = V475524. assign V755771 = V709346 + 1. assign V240666 = V346424. assign V291731 = V160354 - 1. assign V673453 = V281824 + 1. assign V440458 = V708761 + 1. assign V711363 = V709346. assign V765115 = V487813 + 1. assign V153574 = V701568. assign V293711 = V915804. assign V223273 = V461769. assign V982630 = V111396 - 1. assign V178571 = V613577 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V415409 = V803470 + 1. assign V197718 = V297343 - 1. assign V695010 = V939287 + 1. assign V020003 = V043134. assign V487352 = V121680 + 1. assign V429780 = V254345 - 1. assign V572595 = V695010 - 1. assign V419736 = V293277 - 1. assign V266566 = V053080. assign V875182 = V223273. assign V220179 = V709346. assign V301342 = V325550 - 1. assign V999480 = V043134 - 1. assign V807100 = V680141 + 1. assign V462470 = V736392 + 1. assign V808699 = V041050. assign V063121 = V219273 + 1. assign V874621 = V462470 - 1. assign V233788 = V053080. assign V822727 = V529749 - 1. assign V121680 = V755771. assign V224371 = V257087 - 1. assign V750620 = V874621 - 1. assign V312378 = V291731. assign V146964 = V991492 + 1. assign V495989 = V695010 + 1. assign V160354 = V733229 - 1. assign V487813 = V915804 + 1. assign V685549 = V197718 - 1. assign V365755 = V709346. assign V994539 = 8. assign V373509 = V617171 + 1. assign V882694 = V915804 - 1. assign V644081 = V994539 - 1. assign V119748 = V948325 - 1. assign V313232 = V738144 - 1. assign V332159 = V991492 + 1. assign V281824 = V516443 - 1. assign V439860 = V577754. assign V991492 = V571186 + 1. assign V126031 = V617171. assign V151657 = V293277. assign V073545 = V740889. assign V215409 = V208350 - 1. assign V548328 = V208350 + 1. assign V111396 = V749929. assign V751198 = V208350. assign V529749 = V545917 + 1. assign V856365 = V529749 + 1. assign V488845 = V041667. assign V002305 = V174379 - 1. assign V617171 = V487813 - 1. assign V305482 = V177608 - 1. assign V293277 = V915804. assign V499925 = V708761 + 1. assign V041050 = V991492 - 1. assign V693890 = V617171 + 1. assign V071477 = V814567 + 1. assign V261631 = V462470 + 1. assign V108184 = V365755 + 1. assign V007604 = V291731 + 1. assign V189713 = V915804. assign V412496 = V874621 - 1. assign V083866 = V126031 - 1. assign V516443 = V439860 + 1. assign V733229 = V325550 + 1. assign V680141 = V939287. assign V821218 = V111396. assign V676018 = V709346. assign V702279 = V740889 + 1. assign V701568 = V207061 - 1. assign V053080 = V278508 + 1. assign V704601 = V199868 + 1. assign V736392 = V545917. assign V208350 = V915804 + 1. assign V041667 = V571186 - 1. assign V221816 = V302390 - 1. assign V577754 = V160354. assign V915804 = V297343 + 1. assign V254345 = V407592 + 1. assign V819568 = V740889 + 1. assign V414399 = V821218 + 1. assign V278508 = V749929 + 1. assign V457224 = V695010. assign V775016 = V215409 + 1. assign V288942 = V224371 - 1. assign V255065 = V181722 - 1. assign V986694 = V108184 + 1. assign V824060 = V733229. assign V114402 = V882694 + 1. assign V805623 = V982630. assign V896843 = V545917 + 1. assign V463353 = V111396 - 1. assign V877547 = V257087 - 1. assign V571466 = V233788 + 1. assign V939661 = V242142. assign V174379 = V733229 + 1. assign V683556 = V749929 - 1. assign V199868 = V126512. assign V029021 = V218665 + 1. assign V408464 = V704601. assign V698683 = V160354 - 1. assign V738144 = V043134 + 1. assign V165380 = V803470. assign V475524 = V915804. assign V126512 = V882694. assign V601946 = V613577. assign V056198 = V261631 - 1. assign V948325 = V991492. assign V302390 = V332159 + 1. assign V877361 = V617171 + 1. assign V850036 = V332159. assign V245888 = V464189 + 1. assign V218665 = V982630 - 1. assign V814567 = V242142 - 1. assign V219273 = V093165. assign V150933 = V177608 - 1. assign V576411 = V856365. assign V406546 = V874621. assign V376641 = V260939. assign V547901 = V495989 - 1. assign V407592 = V765115 + 1. assign V393783 = V824060 - 1. assign V476860 = V915804 + 1. assign V702335 = V407592 - 1. assign V257087 = V545917 - 1. assign V713215 = V698683 + 1. assign V325550 = V297343. assign V169399 = V877547 + 1. assign V207061 = V197718 - 1. assign V389685 = V164522 + 1. assign V708761 = V111396 - 1. assign V503582 = V545917 + 1. assign V461769 = V126031 + 1. assign V181722 = V219273 - 1. assign V545917 = V740889 + 1. assign V613577 = V111396 + 1. assign V043134 = V765115 - 1. assign V935835 = V111396 + 1. assign V826510 = V740889 - 1. assign V709346 = V733229. assign V625526 = V896843. assign V395263 = V991492 - 1. assign V803470 = V126031 - 1. assign V346424 = V043134 + 1. assign V093165 = V709346 - 1. assign V749929 = V093165. assign V939287 = V297343 - 1. assign V242142 = V882694 - 1. assign V213221 = V680141. assign V260939 = V824060. assign V116769 = V821218. assign V429720 = V151657. assign V740889 = V915804. assign V464189 = V982630 + 1. assign V674964 = V181722. assign V686962 = V695010. assign V571186 = V297343 + 1. assign V177608 = V713215. assign V164522 = V475524. assign V755771 = V709346 + 1. assign V240666 = V346424. assign V291731 = V160354 - 1. assign V673453 = V281824 + 1. assign V440458 = V708761 + 1. assign V711363 = V709346. assign V765115 = V487813 + 1. assign V153574 = V701568. assign V293711 = V915804. assign V223273 = V461769. assign V982630 = V111396 - 1. assign V178571 = V613577 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV994539 = 8;\n\nFrom these direct assignment(s), we have: \nV644081 = V994539 - 1 = 8 - 1 =7;\nNo other variables can be derived from V644081;\nNo other variables can be derived from V994539;\n\nNow we have done all the calculations. Derived variables are:\nV994539 = 8;\nV644081 = 7;\n\nNow we have finished this problem. ANSWER:\nV994539\n", "role": "assistant" } ]

[ "V139190", "V321202" ]

[ { "content": "<context>\nassign V710576 = V482098. assign V400896 = V393873 + 1. assign V430351 = V525499 - 1. assign V167518 = V918008 - 1. assign V141826 = V096364. assign V689068 = V430351 - 1. assign V321122 = V873620 + 1. assign V769186 = V221648 + 1. assign V258637 = V807369 - 1. assign V698040 = V725817 - 1. assign V176413 = V673071. assign V277751 = V321122. assign V019970 = V423133 - 1. assign V292256 = V737644 + 1. assign V807369 = V760571. assign V054811 = V760571 - 1. assign V924648 = V188493. assign V804595 = V487198 - 1. assign V221648 = V411153. assign V265661 = V747791 - 1. assign V802957 = V434268. assign V516111 = V515070. assign V898092 = V646109 + 1. assign V129396 = V689930 - 1. assign V724083 = V292256. assign V801362 = V172638 + 1. assign V071292 = V713946 + 1. assign V629162 = V160583. assign V133548 = V457007. assign V718467 = V761237 - 1. assign V856936 = V093038 + 1. assign V318941 = V689930. assign V188493 = V783409 + 1. assign V875513 = V705052 + 1. assign V102180 = V994893. assign V467918 = V472734. assign V846747 = V304243 + 1. assign V737644 = V326241. assign V596926 = V423133. assign V083958 = V689692 - 1. assign V525499 = V979708 - 1. assign V943152 = V673071 + 1. assign V153363 = V944908. assign V008932 = V807369 + 1. assign V811677 = V292256 + 1. assign V549087 = V434268. assign V457007 = V606338 + 1. assign V752392 = V798935. assign V016833 = V434268. assign V422073 = V426121. assign V393873 = V502485 + 1. assign V689930 = V423133 + 1. assign V296720 = V842653 + 1. assign V646109 = V802957 + 1. assign V326241 = V023845 - 1. assign V358579 = V761237 - 1. assign V869437 = V356912 - 1. assign V830728 = V083958 + 1. assign V583386 = V356912. assign V485633 = V994893. assign V930218 = V465005 - 1. assign V299691 = V752392. assign V023898 = V258637. assign V467961 = V172638 - 1. assign V440591 = V426121 + 1. assign V689692 = V673071 - 1. assign V918008 = V423133. assign V092546 = V472734. assign V476277 = V373054 + 1. assign V465535 = V319703. assign V842653 = V393873. assign V319703 = V326241. assign V096364 = V426121 + 1. assign V472734 = V801362 + 1. assign V417754 = V791997 - 1. assign V860692 = V074099 - 1. assign V226848 = V083958 + 1. assign V434268 = V760571 - 1. assign V487198 = V873620. assign V573224 = V734823 - 1. assign V128983 = V606338 + 1. assign V420673 = V023898 + 1. assign V113953 = V801830. assign V686563 = V880644 + 1. assign V014991 = V807369 - 1. assign V615002 = V019970 + 1. assign V411153 = V023845. assign V921747 = V615002 + 1. assign V135481 = V487198 + 1. assign V559732 = V179069. assign V725817 = V615002 - 1. assign V131207 = V801362 - 1. assign V101485 = V319561. assign V096117 = V465005 - 1. assign V303591 = V008932 - 1. assign V713946 = V760571 + 1. assign V341780 = V791997 + 1. assign V243146 = V752392 + 1. assign V074099 = V434268 - 1. assign V179069 = V761237. assign V471275 = V839719 - 1. assign V057458 = V502485 + 1. assign V839719 = V842653. assign V143715 = V471275. assign V132528 = V467961 - 1. assign V774582 = V901607 - 1. assign V206878 = V319561 - 1. assign V807646 = V798935 + 1. assign V367273 = V341780 - 1. assign V761237 = V802957 + 1. assign V100697 = V596926 - 1. assign V139190 = 7. assign V304243 = V611570 + 1. assign V836230 = V924648 - 1. assign V705052 = V943152 - 1. assign V916277 = V318941 + 1. assign V033165 = V411153 - 1. assign V356912 = V318941 - 1. assign V023845 = V873620 - 1. assign V172638 = V673071 + 1. assign V880644 = V465005 - 1. assign V873620 = V943152 + 1. assign V760571 = V673071 + 1. assign V908396 = V277751 - 1. assign V398581 = V158938 + 1. assign V321202 = V139190. assign V280601 = V747791 + 1. assign V565349 = V467918 - 1. assign V734823 = V128983 + 1. assign V059158 = V280601. assign V423133 = V943152. assign V318630 = V423133 - 1. assign V489483 = V760571 + 1. assign V658314 = V801830 + 1. assign V611375 = V747791. assign V504135 = V172638 - 1. assign V093038 = V358579. assign V913575 = V811677 - 1. assign V801830 = V525499 - 1. assign V160583 = V979708 - 1. assign V671606 = V489483 - 1. assign V791997 = V801830 + 1. assign V515070 = V689692 + 1. assign V319561 = V083958 - 1. assign V293242 = V725817 + 1. assign V354100 = V160583 - 1. assign V979708 = V689692 + 1. assign V100982 = V515070 - 1. assign V798935 = V943152 + 1. assign V158938 = V924648. assign V606338 = V131207 + 1. assign V237112 = V489483 - 1. assign V502485 = V801362 + 1. assign V747791 = V502485 + 1. assign V994893 = V172638. assign V944908 = V292256 - 1. assign V482098 = V525499. assign V429434 = V606338 - 1. assign V611570 = V689930 - 1. assign V465005 = V172638 + 1. assign V602151 = V023845 + 1. assign V858475 = V423133 + 1. assign V783409 = V489483 + 1. assign V426121 = V465005 + 1. assign V901607 = V504135. assign V849003 = V908396. assign V816876 = V804595 - 1. assign V211257 = V465535 - 1. assign V968834 = V686563 + 1. assign V373054 = V752392 + 1. assign V760360 = V243146 - 1. assign V255653 = V713946 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V710576 = V482098. assign V400896 = V393873 + 1. assign V430351 = V525499 - 1. assign V167518 = V918008 - 1. assign V141826 = V096364. assign V689068 = V430351 - 1. assign V321122 = V873620 + 1. assign V769186 = V221648 + 1. assign V258637 = V807369 - 1. assign V698040 = V725817 - 1. assign V176413 = V673071. assign V277751 = V321122. assign V019970 = V423133 - 1. assign V292256 = V737644 + 1. assign V807369 = V760571. assign V054811 = V760571 - 1. assign V924648 = V188493. assign V804595 = V487198 - 1. assign V221648 = V411153. assign V265661 = V747791 - 1. assign V802957 = V434268. assign V516111 = V515070. assign V898092 = V646109 + 1. assign V129396 = V689930 - 1. assign V724083 = V292256. assign V801362 = V172638 + 1. assign V071292 = V713946 + 1. assign V629162 = V160583. assign V133548 = V457007. assign V718467 = V761237 - 1. assign V856936 = V093038 + 1. assign V318941 = V689930. assign V188493 = V783409 + 1. assign V875513 = V705052 + 1. assign V102180 = V994893. assign V467918 = V472734. assign V846747 = V304243 + 1. assign V737644 = V326241. assign V596926 = V423133. assign V083958 = V689692 - 1. assign V525499 = V979708 - 1. assign V943152 = V673071 + 1. assign V153363 = V944908. assign V008932 = V807369 + 1. assign V811677 = V292256 + 1. assign V549087 = V434268. assign V457007 = V606338 + 1. assign V752392 = V798935. assign V016833 = V434268. assign V422073 = V426121. assign V393873 = V502485 + 1. assign V689930 = V423133 + 1. assign V296720 = V842653 + 1. assign V646109 = V802957 + 1. assign V326241 = V023845 - 1. assign V358579 = V761237 - 1. assign V869437 = V356912 - 1. assign V830728 = V083958 + 1. assign V583386 = V356912. assign V485633 = V994893. assign V930218 = V465005 - 1. assign V299691 = V752392. assign V023898 = V258637. assign V467961 = V172638 - 1. assign V440591 = V426121 + 1. assign V689692 = V673071 - 1. assign V918008 = V423133. assign V092546 = V472734. assign V476277 = V373054 + 1. assign V465535 = V319703. assign V842653 = V393873. assign V319703 = V326241. assign V096364 = V426121 + 1. assign V472734 = V801362 + 1. assign V417754 = V791997 - 1. assign V860692 = V074099 - 1. assign V226848 = V083958 + 1. assign V434268 = V760571 - 1. assign V487198 = V873620. assign V573224 = V734823 - 1. assign V128983 = V606338 + 1. assign V420673 = V023898 + 1. assign V113953 = V801830. assign V686563 = V880644 + 1. assign V014991 = V807369 - 1. assign V615002 = V019970 + 1. assign V411153 = V023845. assign V921747 = V615002 + 1. assign V135481 = V487198 + 1. assign V559732 = V179069. assign V725817 = V615002 - 1. assign V131207 = V801362 - 1. assign V101485 = V319561. assign V096117 = V465005 - 1. assign V303591 = V008932 - 1. assign V713946 = V760571 + 1. assign V341780 = V791997 + 1. assign V243146 = V752392 + 1. assign V074099 = V434268 - 1. assign V179069 = V761237. assign V471275 = V839719 - 1. assign V057458 = V502485 + 1. assign V839719 = V842653. assign V143715 = V471275. assign V132528 = V467961 - 1. assign V774582 = V901607 - 1. assign V206878 = V319561 - 1. assign V807646 = V798935 + 1. assign V367273 = V341780 - 1. assign V761237 = V802957 + 1. assign V100697 = V596926 - 1. assign V139190 = 7. assign V304243 = V611570 + 1. assign V836230 = V924648 - 1. assign V705052 = V943152 - 1. assign V916277 = V318941 + 1. assign V033165 = V411153 - 1. assign V356912 = V318941 - 1. assign V023845 = V873620 - 1. assign V172638 = V673071 + 1. assign V880644 = V465005 - 1. assign V873620 = V943152 + 1. assign V760571 = V673071 + 1. assign V908396 = V277751 - 1. assign V398581 = V158938 + 1. assign V321202 = V139190. assign V280601 = V747791 + 1. assign V565349 = V467918 - 1. assign V734823 = V128983 + 1. assign V059158 = V280601. assign V423133 = V943152. assign V318630 = V423133 - 1. assign V489483 = V760571 + 1. assign V658314 = V801830 + 1. assign V611375 = V747791. assign V504135 = V172638 - 1. assign V093038 = V358579. assign V913575 = V811677 - 1. assign V801830 = V525499 - 1. assign V160583 = V979708 - 1. assign V671606 = V489483 - 1. assign V791997 = V801830 + 1. assign V515070 = V689692 + 1. assign V319561 = V083958 - 1. assign V293242 = V725817 + 1. assign V354100 = V160583 - 1. assign V979708 = V689692 + 1. assign V100982 = V515070 - 1. assign V798935 = V943152 + 1. assign V158938 = V924648. assign V606338 = V131207 + 1. assign V237112 = V489483 - 1. assign V502485 = V801362 + 1. assign V747791 = V502485 + 1. assign V994893 = V172638. assign V944908 = V292256 - 1. assign V482098 = V525499. assign V429434 = V606338 - 1. assign V611570 = V689930 - 1. assign V465005 = V172638 + 1. assign V602151 = V023845 + 1. assign V858475 = V423133 + 1. assign V783409 = V489483 + 1. assign V426121 = V465005 + 1. assign V901607 = V504135. assign V849003 = V908396. assign V816876 = V804595 - 1. assign V211257 = V465535 - 1. assign V968834 = V686563 + 1. assign V373054 = V752392 + 1. assign V760360 = V243146 - 1. assign V255653 = V713946 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV139190 = 7;\n\nFrom these direct assignment(s), we have: \nV321202 = V139190 = 7;\nNo other variables can be derived from V321202;\nNo other variables can be derived from V139190;\n\nNow we have done all the calculations. Derived variables are:\nV139190 = 7;\nV321202 = 7;\n\nNow we have finished this problem. ANSWER:\nV139190, V321202\n", "role": "assistant" } ]

[ "V163581" ]

[ { "content": "<context>\nassign V827032 = V387144 + 1. assign V727639 = V362577. assign V435303 = V984735 + 1. assign V107147 = V190488. assign V672652 = V277572. assign V009928 = V048975 - 1. assign V728208 = V113885. assign V409261 = V408374 - 1. assign V077037 = V109844. assign V539373 = V344465. assign V477005 = 7. assign V942421 = V679335. assign V696126 = V857928 + 1. assign V459131 = V520230 - 1. assign V096706 = V646487 - 1. assign V056331 = V079933. assign V539090 = V344465 + 1. assign V696255 = V602876 - 1. assign V913531 = V107147 + 1. assign V892435 = V417157 + 1. assign V190488 = V463105 - 1. assign V782247 = V720526. assign V385771 = V962643 - 1. assign V602876 = V681087. assign V049718 = V124935 - 1. assign V917057 = V344465 + 1. assign V417157 = V888173. assign V857928 = V417157 + 1. assign V079992 = V681087. assign V340883 = V441818 + 1. assign V499405 = V925274 - 1. assign V555401 = V190488 + 1. assign V520230 = V539090 - 1. assign V063878 = V291857 + 1. assign V104943 = V539090 + 1. assign V710327 = V441818. assign V239985 = V124935 + 1. assign V999314 = V710327 - 1. assign V109844 = V539090 + 1. assign V614750 = V417157. assign V037462 = V857928 + 1. assign V879955 = V908473. assign V115828 = V681087 + 1. assign V362577 = V621395 + 1. assign V157484 = V079933 - 1. assign V122453 = V601354 - 1. assign V962643 = V089241. assign V910454 = V079992 + 1. assign V187428 = V601065 + 1. assign V403121 = V710327 + 1. assign V621395 = V190488 - 1. assign V943758 = V895174 + 1. assign V827513 = V299097 - 1. assign V687455 = V079933 + 1. assign V896732 = V520230. assign V283296 = V190488. assign V624347 = V376137 - 1. assign V182338 = V121528 - 1. assign V773165 = V910454. assign V087069 = V910454. assign V575204 = V109316. assign V707291 = V953080. assign V720526 = V681087 - 1. assign V463105 = V888173 + 1. assign V496780 = V277572 - 1. assign V646487 = V539090 + 1. assign V277572 = V539090 - 1. assign V925568 = V404085. assign V696341 = V291857 - 1. assign V681087 = V344465 + 1. assign V109316 = V387144 + 1. assign V575112 = V363662 - 1. assign V725604 = V393139 - 1. assign V092432 = V727639 + 1. assign V376553 = V393139 - 1. assign V243436 = V773165. assign V726040 = V393139. assign V646576 = V393139 + 1. assign V868539 = V199960 - 1. assign V659052 = V344465 + 1. assign V329945 = V283296. assign V291857 = V199960 - 1. assign V864664 = V892435 - 1. assign V516879 = V283296. assign V722762 = V299097 + 1. assign V540538 = V404085 - 1. assign V561733 = V079933. assign V124935 = V237888. assign V601354 = V283296 - 1. assign V908473 = V857928 + 1. assign V995643 = V834450 + 1. assign V849618 = V121528 + 1. assign V089241 = V516879 + 1. assign V404085 = V079992. assign V013474 = V773165 - 1. assign V837725 = V725604 + 1. assign V113911 = V933586 - 1. assign V953080 = V868539 + 1. assign V637714 = V056331 + 1. assign V894066 = V520230. assign V376137 = V387144 - 1. assign V925274 = V933586 + 1. assign V312743 = V942421 + 1. assign V467381 = V864664. assign V594057 = V539373 - 1. assign V279576 = V113911. assign V839117 = V417157. assign V883986 = V459131. assign V722547 = V403121 + 1. assign V933586 = V408374. assign V525904 = V849618. assign V731564 = V329945 - 1. assign V660424 = V044333. assign V725862 = V079933. assign V255992 = V696341 - 1. assign V884014 = V124935 + 1. assign V121528 = V888173 + 1. assign V025054 = V045919 - 1. assign V113885 = V190488 - 1. assign V482405 = V962643. assign V423766 = V283296. assign V224177 = V463105 - 1. assign V133946 = V681087 - 1. assign V984735 = V417157 + 1. assign V237968 = V124935 - 1. assign V645459 = V096706 + 1. assign V363662 = V237888. assign V640359 = V996372 + 1. assign V951912 = V766291 + 1. assign V045919 = V283296 + 1. assign V601065 = V539373 - 1. assign V895174 = V499405 - 1. assign V546437 = V720526. assign V336662 = V295522 - 1. assign V103396 = V640359 - 1. assign V203846 = V879955. assign V285292 = V299097 + 1. assign V370940 = V104943. assign V205618 = V277572 - 1. assign V441818 = V463105 + 1. assign V163581 = V477005 + 1. assign V221475 = V283296 - 1. assign V044333 = V888173. assign V299097 = V393139. assign V393139 = V888173 + 1. assign V626095 = V834450 - 1. assign V510747 = V441818. assign V048975 = V387144 + 1. assign V868941 = V363662. assign V591282 = V463105 + 1. assign V199960 = V539090 - 1. assign V807462 = V857928 + 1. assign V766291 = V199960 + 1. assign V996372 = V637714. assign V354616 = V540538 + 1. assign V344465 = V393139 + 1. assign V834450 = V888173 + 1. assign V679335 = V933586 - 1. assign V237888 = V925274. assign V387144 = V393139. assign V295522 = V614750. assign V079933 = V121528. assign V078954 = V943758. assign V272798 = V879955 + 1. assign V290205 = V995643 - 1. assign V353708 = V423766 - 1. assign V694527 = V868941. assign V312357 = V849618 + 1. assign V773658 = V925274. assign V408374 = V393139 - 1. assign V558427 = V892435 + 1. assign V890951 = V766291 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V827032 = V387144 + 1. assign V727639 = V362577. assign V435303 = V984735 + 1. assign V107147 = V190488. assign V672652 = V277572. assign V009928 = V048975 - 1. assign V728208 = V113885. assign V409261 = V408374 - 1. assign V077037 = V109844. assign V539373 = V344465. assign V477005 = 7. assign V942421 = V679335. assign V696126 = V857928 + 1. assign V459131 = V520230 - 1. assign V096706 = V646487 - 1. assign V056331 = V079933. assign V539090 = V344465 + 1. assign V696255 = V602876 - 1. assign V913531 = V107147 + 1. assign V892435 = V417157 + 1. assign V190488 = V463105 - 1. assign V782247 = V720526. assign V385771 = V962643 - 1. assign V602876 = V681087. assign V049718 = V124935 - 1. assign V917057 = V344465 + 1. assign V417157 = V888173. assign V857928 = V417157 + 1. assign V079992 = V681087. assign V340883 = V441818 + 1. assign V499405 = V925274 - 1. assign V555401 = V190488 + 1. assign V520230 = V539090 - 1. assign V063878 = V291857 + 1. assign V104943 = V539090 + 1. assign V710327 = V441818. assign V239985 = V124935 + 1. assign V999314 = V710327 - 1. assign V109844 = V539090 + 1. assign V614750 = V417157. assign V037462 = V857928 + 1. assign V879955 = V908473. assign V115828 = V681087 + 1. assign V362577 = V621395 + 1. assign V157484 = V079933 - 1. assign V122453 = V601354 - 1. assign V962643 = V089241. assign V910454 = V079992 + 1. assign V187428 = V601065 + 1. assign V403121 = V710327 + 1. assign V621395 = V190488 - 1. assign V943758 = V895174 + 1. assign V827513 = V299097 - 1. assign V687455 = V079933 + 1. assign V896732 = V520230. assign V283296 = V190488. assign V624347 = V376137 - 1. assign V182338 = V121528 - 1. assign V773165 = V910454. assign V087069 = V910454. assign V575204 = V109316. assign V707291 = V953080. assign V720526 = V681087 - 1. assign V463105 = V888173 + 1. assign V496780 = V277572 - 1. assign V646487 = V539090 + 1. assign V277572 = V539090 - 1. assign V925568 = V404085. assign V696341 = V291857 - 1. assign V681087 = V344465 + 1. assign V109316 = V387144 + 1. assign V575112 = V363662 - 1. assign V725604 = V393139 - 1. assign V092432 = V727639 + 1. assign V376553 = V393139 - 1. assign V243436 = V773165. assign V726040 = V393139. assign V646576 = V393139 + 1. assign V868539 = V199960 - 1. assign V659052 = V344465 + 1. assign V329945 = V283296. assign V291857 = V199960 - 1. assign V864664 = V892435 - 1. assign V516879 = V283296. assign V722762 = V299097 + 1. assign V540538 = V404085 - 1. assign V561733 = V079933. assign V124935 = V237888. assign V601354 = V283296 - 1. assign V908473 = V857928 + 1. assign V995643 = V834450 + 1. assign V849618 = V121528 + 1. assign V089241 = V516879 + 1. assign V404085 = V079992. assign V013474 = V773165 - 1. assign V837725 = V725604 + 1. assign V113911 = V933586 - 1. assign V953080 = V868539 + 1. assign V637714 = V056331 + 1. assign V894066 = V520230. assign V376137 = V387144 - 1. assign V925274 = V933586 + 1. assign V312743 = V942421 + 1. assign V467381 = V864664. assign V594057 = V539373 - 1. assign V279576 = V113911. assign V839117 = V417157. assign V883986 = V459131. assign V722547 = V403121 + 1. assign V933586 = V408374. assign V525904 = V849618. assign V731564 = V329945 - 1. assign V660424 = V044333. assign V725862 = V079933. assign V255992 = V696341 - 1. assign V884014 = V124935 + 1. assign V121528 = V888173 + 1. assign V025054 = V045919 - 1. assign V113885 = V190488 - 1. assign V482405 = V962643. assign V423766 = V283296. assign V224177 = V463105 - 1. assign V133946 = V681087 - 1. assign V984735 = V417157 + 1. assign V237968 = V124935 - 1. assign V645459 = V096706 + 1. assign V363662 = V237888. assign V640359 = V996372 + 1. assign V951912 = V766291 + 1. assign V045919 = V283296 + 1. assign V601065 = V539373 - 1. assign V895174 = V499405 - 1. assign V546437 = V720526. assign V336662 = V295522 - 1. assign V103396 = V640359 - 1. assign V203846 = V879955. assign V285292 = V299097 + 1. assign V370940 = V104943. assign V205618 = V277572 - 1. assign V441818 = V463105 + 1. assign V163581 = V477005 + 1. assign V221475 = V283296 - 1. assign V044333 = V888173. assign V299097 = V393139. assign V393139 = V888173 + 1. assign V626095 = V834450 - 1. assign V510747 = V441818. assign V048975 = V387144 + 1. assign V868941 = V363662. assign V591282 = V463105 + 1. assign V199960 = V539090 - 1. assign V807462 = V857928 + 1. assign V766291 = V199960 + 1. assign V996372 = V637714. assign V354616 = V540538 + 1. assign V344465 = V393139 + 1. assign V834450 = V888173 + 1. assign V679335 = V933586 - 1. assign V237888 = V925274. assign V387144 = V393139. assign V295522 = V614750. assign V079933 = V121528. assign V078954 = V943758. assign V272798 = V879955 + 1. assign V290205 = V995643 - 1. assign V353708 = V423766 - 1. assign V694527 = V868941. assign V312357 = V849618 + 1. assign V773658 = V925274. assign V408374 = V393139 - 1. assign V558427 = V892435 + 1. assign V890951 = V766291 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV477005 = 7;\n\nFrom these direct assignment(s), we have: \nV163581 = V477005 + 1 = 7 + 1 =8;\nNo other variables can be derived from V163581;\nNo other variables can be derived from V477005;\n\nNow we have done all the calculations. Derived variables are:\nV477005 = 7;\nV163581 = 8;\n\nNow we have finished this problem. ANSWER:\nV163581\n", "role": "assistant" } ]

[ "V149143" ]

[ { "content": "<context>\nassign V372333 = V647159. assign V393219 = V075682 - 1. assign V852765 = V912436. assign V516441 = V742695 - 1. assign V550416 = V868874. assign V753168 = V982429 + 1. assign V980160 = V549419 + 1. assign V691291 = V550737. assign V250914 = V516110 - 1. assign V176198 = V321869 + 1. assign V669617 = V406736 + 1. assign V538287 = V909003. assign V722331 = V891919 - 1. assign V090765 = V901652 + 1. assign V746100 = V751751 + 1. assign V341101 = V869486 - 1. assign V365329 = V919587 - 1. assign V493828 = V982429. assign V636580 = V959393. assign V047955 = V654735 - 1. assign V310587 = V869486 - 1. assign V802748 = V751751. assign V729557 = V434028 + 1. assign V726368 = V746100 - 1. assign V637789 = V673637. assign V991575 = V251937 + 1. assign V490289 = V869486. assign V798426 = V899293 + 1. assign V919587 = V070958 + 1. assign V492872 = V310587. assign V262932 = V195398 - 1. assign V926843 = V558101 + 1. assign V339938 = V404676 - 1. assign V371482 = V006909 - 1. assign V673637 = V541838. assign V861083 = V803184 - 1. assign V070958 = V186433. assign V005824 = V308495. assign V709311 = V139459 - 1. assign V987893 = V753168 + 1. assign V891919 = V742695. assign V149143 = V517832 + 1. assign V959393 = V372333. assign V733334 = V918961 - 1. assign V654735 = V691291 - 1. assign V896143 = V034034 + 1. assign V628679 = V365329 - 1. assign V998861 = V918961. assign V137531 = V341101. assign V860683 = V372333 - 1. assign V648061 = V712447. assign V680126 = V251937 + 1. assign V574034 = V919587. assign V827261 = V176198 - 1. assign V212972 = V195398. assign V241172 = V757898 - 1. assign V187451 = V660643 - 1. assign V596797 = V230257 + 1. assign V085561 = V011382 - 1. assign V263997 = V918961 + 1. assign V803184 = V351813 - 1. assign V768153 = V680126 + 1. assign V507064 = V919587 + 1. assign V134381 = V251937 - 1. assign V849838 = V077162 - 1. assign V315134 = V427711 - 1. assign V968253 = V901652 - 1. assign V879191 = V404676 + 1. assign V982429 = V660643 - 1. assign V918961 = V186433 + 1. assign V869486 = V680126 - 1. assign V527430 = V968253. assign V139459 = V251937 + 1. assign V581070 = V230257 + 1. assign V539087 = V757898. assign V878497 = V230257 + 1. assign V901652 = V912436 + 1. assign V981593 = V912436. assign V555725 = V550737. assign V702092 = V733334 + 1. assign V285399 = V647159. assign V517832 = 10. assign V757898 = V912436. assign V516110 = V751751 + 1. assign V868874 = V919587 + 1. assign V742695 = V186433 - 1. assign V075682 = V746100 + 1. assign V471520 = V490289. assign V267697 = V912436 - 1. assign V007504 = V581070. assign V550737 = V869486 + 1. assign V492180 = V637789 - 1. assign V255899 = V847730 + 1. assign V549419 = V365329 + 1. assign V251937 = V230257 + 1. assign V771578 = V680126 + 1. assign V971640 = V267697. assign V233077 = V070958 - 1. assign V283238 = V056435. assign V374198 = V868874 - 1. assign V427711 = V918961 + 1. assign V006298 = V757898 + 1. assign V733564 = V070958 - 1. assign V434028 = V712447. assign V558101 = V479274 + 1. assign V833308 = V408199 + 1. assign V056435 = V408199 + 1. assign V406736 = V918961 + 1. assign V450356 = V056435. assign V212914 = V075682. assign V301269 = V757898. assign V250052 = V712447 + 1. assign V006909 = V136810. assign V136810 = V139459 - 1. assign V847730 = V539087. assign V280818 = V912436 + 1. assign V358849 = V075682 - 1. assign V768780 = V981593. assign V408199 = V230257. assign V394071 = V541838. assign V443517 = V408199 + 1. assign V744212 = V803184 + 1. assign V515234 = V250914 + 1. assign V713577 = V891919. assign V186433 = V971640 + 1. assign V680894 = V541838 - 1. assign V443337 = V648061 + 1. assign V568019 = V982429. assign V697725 = V550737. assign V307963 = V981593 - 1. assign V485265 = V230257 + 1. assign V037201 = V768153 - 1. assign V492510 = V310587 + 1. assign V326337 = V007504. assign V404676 = V982429. assign V440365 = V673637 + 1. assign V479274 = V868874. assign V028570 = V301269 + 1. assign V321869 = V968253. assign V846200 = V891919. assign V283506 = V654735. assign V212048 = V516110 + 1. assign V356937 = V802748. assign V541838 = V912436. assign V406027 = V981593. assign V195398 = V408199. assign V660643 = V757898. assign V909003 = V757898 - 1. assign V427732 = V070958. assign V610770 = V919587 - 1. assign V034034 = V991575. assign V712447 = V912436 - 1. assign V520107 = V490289. assign V356253 = V878497. assign V429872 = V479274 - 1. assign V012596 = V516110 - 1. assign V011382 = V959393 + 1. assign V351813 = V230257 - 1. assign V443069 = V541838 + 1. assign V066074 = V075682 - 1. assign V077162 = V802748 - 1. assign V837536 = V610770 + 1. assign V308495 = V212914 - 1. assign V751751 = V971640 - 1. assign V647159 = V427711 - 1. assign V133516 = V230257 - 1. assign V768372 = V070958 - 1. assign V202153 = V028570. assign V434513 = V541838 + 1. assign V899293 = V365329 - 1. assign V912436 = V991575. assign V303428 = V406736 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V372333 = V647159. assign V393219 = V075682 - 1. assign V852765 = V912436. assign V516441 = V742695 - 1. assign V550416 = V868874. assign V753168 = V982429 + 1. assign V980160 = V549419 + 1. assign V691291 = V550737. assign V250914 = V516110 - 1. assign V176198 = V321869 + 1. assign V669617 = V406736 + 1. assign V538287 = V909003. assign V722331 = V891919 - 1. assign V090765 = V901652 + 1. assign V746100 = V751751 + 1. assign V341101 = V869486 - 1. assign V365329 = V919587 - 1. assign V493828 = V982429. assign V636580 = V959393. assign V047955 = V654735 - 1. assign V310587 = V869486 - 1. assign V802748 = V751751. assign V729557 = V434028 + 1. assign V726368 = V746100 - 1. assign V637789 = V673637. assign V991575 = V251937 + 1. assign V490289 = V869486. assign V798426 = V899293 + 1. assign V919587 = V070958 + 1. assign V492872 = V310587. assign V262932 = V195398 - 1. assign V926843 = V558101 + 1. assign V339938 = V404676 - 1. assign V371482 = V006909 - 1. assign V673637 = V541838. assign V861083 = V803184 - 1. assign V070958 = V186433. assign V005824 = V308495. assign V709311 = V139459 - 1. assign V987893 = V753168 + 1. assign V891919 = V742695. assign V149143 = V517832 + 1. assign V959393 = V372333. assign V733334 = V918961 - 1. assign V654735 = V691291 - 1. assign V896143 = V034034 + 1. assign V628679 = V365329 - 1. assign V998861 = V918961. assign V137531 = V341101. assign V860683 = V372333 - 1. assign V648061 = V712447. assign V680126 = V251937 + 1. assign V574034 = V919587. assign V827261 = V176198 - 1. assign V212972 = V195398. assign V241172 = V757898 - 1. assign V187451 = V660643 - 1. assign V596797 = V230257 + 1. assign V085561 = V011382 - 1. assign V263997 = V918961 + 1. assign V803184 = V351813 - 1. assign V768153 = V680126 + 1. assign V507064 = V919587 + 1. assign V134381 = V251937 - 1. assign V849838 = V077162 - 1. assign V315134 = V427711 - 1. assign V968253 = V901652 - 1. assign V879191 = V404676 + 1. assign V982429 = V660643 - 1. assign V918961 = V186433 + 1. assign V869486 = V680126 - 1. assign V527430 = V968253. assign V139459 = V251937 + 1. assign V581070 = V230257 + 1. assign V539087 = V757898. assign V878497 = V230257 + 1. assign V901652 = V912436 + 1. assign V981593 = V912436. assign V555725 = V550737. assign V702092 = V733334 + 1. assign V285399 = V647159. assign V517832 = 10. assign V757898 = V912436. assign V516110 = V751751 + 1. assign V868874 = V919587 + 1. assign V742695 = V186433 - 1. assign V075682 = V746100 + 1. assign V471520 = V490289. assign V267697 = V912436 - 1. assign V007504 = V581070. assign V550737 = V869486 + 1. assign V492180 = V637789 - 1. assign V255899 = V847730 + 1. assign V549419 = V365329 + 1. assign V251937 = V230257 + 1. assign V771578 = V680126 + 1. assign V971640 = V267697. assign V233077 = V070958 - 1. assign V283238 = V056435. assign V374198 = V868874 - 1. assign V427711 = V918961 + 1. assign V006298 = V757898 + 1. assign V733564 = V070958 - 1. assign V434028 = V712447. assign V558101 = V479274 + 1. assign V833308 = V408199 + 1. assign V056435 = V408199 + 1. assign V406736 = V918961 + 1. assign V450356 = V056435. assign V212914 = V075682. assign V301269 = V757898. assign V250052 = V712447 + 1. assign V006909 = V136810. assign V136810 = V139459 - 1. assign V847730 = V539087. assign V280818 = V912436 + 1. assign V358849 = V075682 - 1. assign V768780 = V981593. assign V408199 = V230257. assign V394071 = V541838. assign V443517 = V408199 + 1. assign V744212 = V803184 + 1. assign V515234 = V250914 + 1. assign V713577 = V891919. assign V186433 = V971640 + 1. assign V680894 = V541838 - 1. assign V443337 = V648061 + 1. assign V568019 = V982429. assign V697725 = V550737. assign V307963 = V981593 - 1. assign V485265 = V230257 + 1. assign V037201 = V768153 - 1. assign V492510 = V310587 + 1. assign V326337 = V007504. assign V404676 = V982429. assign V440365 = V673637 + 1. assign V479274 = V868874. assign V028570 = V301269 + 1. assign V321869 = V968253. assign V846200 = V891919. assign V283506 = V654735. assign V212048 = V516110 + 1. assign V356937 = V802748. assign V541838 = V912436. assign V406027 = V981593. assign V195398 = V408199. assign V660643 = V757898. assign V909003 = V757898 - 1. assign V427732 = V070958. assign V610770 = V919587 - 1. assign V034034 = V991575. assign V712447 = V912436 - 1. assign V520107 = V490289. assign V356253 = V878497. assign V429872 = V479274 - 1. assign V012596 = V516110 - 1. assign V011382 = V959393 + 1. assign V351813 = V230257 - 1. assign V443069 = V541838 + 1. assign V066074 = V075682 - 1. assign V077162 = V802748 - 1. assign V837536 = V610770 + 1. assign V308495 = V212914 - 1. assign V751751 = V971640 - 1. assign V647159 = V427711 - 1. assign V133516 = V230257 - 1. assign V768372 = V070958 - 1. assign V202153 = V028570. assign V434513 = V541838 + 1. assign V899293 = V365329 - 1. assign V912436 = V991575. assign V303428 = V406736 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV517832 = 10;\n\nFrom these direct assignment(s), we have: \nV149143 = V517832 + 1 = 10 + 1 =11;\nNo other variables can be derived from V149143;\nNo other variables can be derived from V517832;\n\nNow we have done all the calculations. Derived variables are:\nV517832 = 10;\nV149143 = 11;\n\nNow we have finished this problem. ANSWER:\nV149143\n", "role": "assistant" } ]

[ "V551017" ]

[ { "content": "<context>\nassign V385696 = V674168 + 1. assign V546001 = V420532 - 1. assign V083659 = V147618. assign V976386 = V491838. assign V906016 = V187743 + 1. assign V089386 = V152822. assign V064427 = V187743 + 1. assign V305285 = V695706. assign V001457 = V048232. assign V181541 = V896696 + 1. assign V936364 = V390754 + 1. assign V551017 = 6. assign V377955 = V118227 - 1. assign V088420 = V409038 + 1. assign V192582 = V680210. assign V924048 = V431758. assign V302944 = V684164 + 1. assign V147618 = V159061. assign V784099 = V121405 + 1. assign V423859 = V867424. assign V367475 = V438230. assign V865752 = V438230 - 1. assign V419483 = V125894. assign V438230 = V121405. assign V886731 = V422421. assign V530339 = V787283 + 1. assign V749150 = V393773 + 1. assign V584777 = V188463. assign V023044 = V121405 + 1. assign V182623 = V456026 + 1. assign V927756 = V409038. assign V171065 = V118227. assign V242343 = V188463. assign V422421 = V674168 + 1. assign V090334 = V551017 + 1. assign V134499 = V390503 - 1. assign V926862 = V354254 - 1. assign V075863 = V584777. assign V118227 = V060213 + 1. assign V592121 = V787283 - 1. assign V392524 = V553134 + 1. assign V371810 = V075863. assign V133094 = V233479. assign V813773 = V431758. assign V764960 = V655023 + 1. assign V113553 = V616659. assign V910791 = V447950. assign V045702 = V674168. assign V413812 = V676965 - 1. assign V046368 = V438230. assign V315712 = V121405 + 1. assign V761642 = V784099. assign V180855 = V007260 - 1. assign V912182 = V956745. assign V991300 = V711357. assign V170261 = V023983 + 1. assign V390503 = V539683. assign V551667 = V315712 + 1. assign V801677 = V966301 + 1. assign V553700 = V803910. assign V949933 = V315712. assign V634965 = V048232. assign V896696 = V187743 - 1. assign V711357 = V147618 - 1. assign V703210 = V159061 + 1. assign V551066 = V553700. assign V444362 = V517834 - 1. assign V233479 = V187743 - 1. assign V344382 = V592121. assign V931708 = V159061 - 1. assign V684164 = V447950 + 1. assign V837194 = V315712 + 1. assign V760839 = V367475 - 1. assign V354254 = V837194. assign V771841 = V695706 + 1. assign V680210 = V456026 - 1. assign V762995 = V118227 - 1. assign V966301 = V354254 - 1. assign V731438 = V089386. assign V488273 = V616659 + 1. assign V390754 = V431758 - 1. assign V655023 = V121405. assign V095417 = V045702 + 1. assign V833995 = V488273 - 1. assign V420532 = V222462 + 1. assign V822042 = V159061 + 1. assign V224502 = V655023 + 1. assign V662226 = V023983 + 1. assign V714045 = V023983. assign V885880 = V861380 - 1. assign V858581 = V456026. assign V675549 = V125894 - 1. assign V826418 = V674168. assign V695706 = V553134 - 1. assign V162860 = V390503. assign V676965 = V118227 - 1. assign V026350 = V896696. assign V188463 = V159061 + 1. assign V222462 = V444362. assign V539683 = V188463 + 1. assign V218478 = V491838. assign V208065 = V060213 + 1. assign V382453 = V354254. assign V394270 = V089386 - 1. assign V152822 = V444362 - 1. assign V447950 = V170261 - 1. assign V048232 = V655023 - 1. assign V124238 = V656705. assign V867424 = V118227 + 1. assign V787283 = V886731. assign V187743 = V121405 - 1. assign V803910 = V375857 - 1. assign V356641 = V375857 + 1. assign V585339 = V553134 + 1. assign V032753 = V865752. assign V772951 = V422421. assign V674168 = V438230 + 1. assign V560434 = V547114. assign V375857 = V438230 + 1. assign V036442 = V083659 - 1. assign V950411 = V036442 + 1. assign V852772 = V447950. assign V456026 = V422421 - 1. assign V553134 = V896696 + 1. assign V702192 = V121405 - 1. assign V139968 = V026350. assign V992484 = V702192 + 1. assign V861380 = V171065 + 1. assign V755980 = V826418 - 1. assign V408428 = V968539 - 1. assign V112535 = V354254. assign V403101 = V553700. assign V770944 = V159061 + 1. assign V570480 = V447950 + 1. assign V290654 = V354254 - 1. assign V159061 = V121405 - 1. assign V517834 = V187743. assign V513261 = V305285. assign V125894 = V837194 - 1. assign V667232 = V770944. assign V864191 = V931708. assign V790029 = V026350 + 1. assign V060213 = V242343 + 1. assign V915075 = V714045. assign V625740 = V491838 + 1. assign V142042 = V547114. assign V956745 = V390754. assign V007260 = V966301 + 1. assign V594446 = V112535 + 1. assign V887969 = V125894 - 1. assign V520675 = V674168 - 1. assign V756810 = V068317. assign V331660 = V584777. assign V308507 = V060213 - 1. assign V616659 = V023044 - 1. assign V813106 = V931708 - 1. assign V469552 = V865752 + 1. assign V113133 = V188463 + 1. assign V409038 = V867424. assign V086087 = V125894 + 1. assign V068317 = V171065. assign V324291 = V394270 - 1. assign V656705 = V865752 + 1. assign V968539 = V142042. assign V431758 = V447950 - 1. assign V393773 = V392524 - 1. assign V424385 = V045702 - 1. assign V491838 = V968539. assign V179402 = V616659. assign V023983 = V547114. assign V547114 = V438230 + 1. assign V566726 = V068317 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V385696 = V674168 + 1. assign V546001 = V420532 - 1. assign V083659 = V147618. assign V976386 = V491838. assign V906016 = V187743 + 1. assign V089386 = V152822. assign V064427 = V187743 + 1. assign V305285 = V695706. assign V001457 = V048232. assign V181541 = V896696 + 1. assign V936364 = V390754 + 1. assign V551017 = 6. assign V377955 = V118227 - 1. assign V088420 = V409038 + 1. assign V192582 = V680210. assign V924048 = V431758. assign V302944 = V684164 + 1. assign V147618 = V159061. assign V784099 = V121405 + 1. assign V423859 = V867424. assign V367475 = V438230. assign V865752 = V438230 - 1. assign V419483 = V125894. assign V438230 = V121405. assign V886731 = V422421. assign V530339 = V787283 + 1. assign V749150 = V393773 + 1. assign V584777 = V188463. assign V023044 = V121405 + 1. assign V182623 = V456026 + 1. assign V927756 = V409038. assign V171065 = V118227. assign V242343 = V188463. assign V422421 = V674168 + 1. assign V090334 = V551017 + 1. assign V134499 = V390503 - 1. assign V926862 = V354254 - 1. assign V075863 = V584777. assign V118227 = V060213 + 1. assign V592121 = V787283 - 1. assign V392524 = V553134 + 1. assign V371810 = V075863. assign V133094 = V233479. assign V813773 = V431758. assign V764960 = V655023 + 1. assign V113553 = V616659. assign V910791 = V447950. assign V045702 = V674168. assign V413812 = V676965 - 1. assign V046368 = V438230. assign V315712 = V121405 + 1. assign V761642 = V784099. assign V180855 = V007260 - 1. assign V912182 = V956745. assign V991300 = V711357. assign V170261 = V023983 + 1. assign V390503 = V539683. assign V551667 = V315712 + 1. assign V801677 = V966301 + 1. assign V553700 = V803910. assign V949933 = V315712. assign V634965 = V048232. assign V896696 = V187743 - 1. assign V711357 = V147618 - 1. assign V703210 = V159061 + 1. assign V551066 = V553700. assign V444362 = V517834 - 1. assign V233479 = V187743 - 1. assign V344382 = V592121. assign V931708 = V159061 - 1. assign V684164 = V447950 + 1. assign V837194 = V315712 + 1. assign V760839 = V367475 - 1. assign V354254 = V837194. assign V771841 = V695706 + 1. assign V680210 = V456026 - 1. assign V762995 = V118227 - 1. assign V966301 = V354254 - 1. assign V731438 = V089386. assign V488273 = V616659 + 1. assign V390754 = V431758 - 1. assign V655023 = V121405. assign V095417 = V045702 + 1. assign V833995 = V488273 - 1. assign V420532 = V222462 + 1. assign V822042 = V159061 + 1. assign V224502 = V655023 + 1. assign V662226 = V023983 + 1. assign V714045 = V023983. assign V885880 = V861380 - 1. assign V858581 = V456026. assign V675549 = V125894 - 1. assign V826418 = V674168. assign V695706 = V553134 - 1. assign V162860 = V390503. assign V676965 = V118227 - 1. assign V026350 = V896696. assign V188463 = V159061 + 1. assign V222462 = V444362. assign V539683 = V188463 + 1. assign V218478 = V491838. assign V208065 = V060213 + 1. assign V382453 = V354254. assign V394270 = V089386 - 1. assign V152822 = V444362 - 1. assign V447950 = V170261 - 1. assign V048232 = V655023 - 1. assign V124238 = V656705. assign V867424 = V118227 + 1. assign V787283 = V886731. assign V187743 = V121405 - 1. assign V803910 = V375857 - 1. assign V356641 = V375857 + 1. assign V585339 = V553134 + 1. assign V032753 = V865752. assign V772951 = V422421. assign V674168 = V438230 + 1. assign V560434 = V547114. assign V375857 = V438230 + 1. assign V036442 = V083659 - 1. assign V950411 = V036442 + 1. assign V852772 = V447950. assign V456026 = V422421 - 1. assign V553134 = V896696 + 1. assign V702192 = V121405 - 1. assign V139968 = V026350. assign V992484 = V702192 + 1. assign V861380 = V171065 + 1. assign V755980 = V826418 - 1. assign V408428 = V968539 - 1. assign V112535 = V354254. assign V403101 = V553700. assign V770944 = V159061 + 1. assign V570480 = V447950 + 1. assign V290654 = V354254 - 1. assign V159061 = V121405 - 1. assign V517834 = V187743. assign V513261 = V305285. assign V125894 = V837194 - 1. assign V667232 = V770944. assign V864191 = V931708. assign V790029 = V026350 + 1. assign V060213 = V242343 + 1. assign V915075 = V714045. assign V625740 = V491838 + 1. assign V142042 = V547114. assign V956745 = V390754. assign V007260 = V966301 + 1. assign V594446 = V112535 + 1. assign V887969 = V125894 - 1. assign V520675 = V674168 - 1. assign V756810 = V068317. assign V331660 = V584777. assign V308507 = V060213 - 1. assign V616659 = V023044 - 1. assign V813106 = V931708 - 1. assign V469552 = V865752 + 1. assign V113133 = V188463 + 1. assign V409038 = V867424. assign V086087 = V125894 + 1. assign V068317 = V171065. assign V324291 = V394270 - 1. assign V656705 = V865752 + 1. assign V968539 = V142042. assign V431758 = V447950 - 1. assign V393773 = V392524 - 1. assign V424385 = V045702 - 1. assign V491838 = V968539. assign V179402 = V616659. assign V023983 = V547114. assign V547114 = V438230 + 1. assign V566726 = V068317 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV551017 = 6;\n\nFrom these direct assignment(s), we have: \nV090334 = V551017 + 1 = 6 + 1 =7;\nNo other variables can be derived from V090334;\nNo other variables can be derived from V551017;\n\nNow we have done all the calculations. Derived variables are:\nV551017 = 6;\nV090334 = 7;\n\nNow we have finished this problem. ANSWER:\nV551017\n", "role": "assistant" } ]

[ "V941904" ]

[ { "content": "<context>\nassign V825287 = V933098. assign V584641 = V747976 - 1. assign V037795 = V969451. assign V538779 = V506951 + 1. assign V993533 = V853897 + 1. assign V444066 = V099379 + 1. assign V602276 = V394894 - 1. assign V139443 = V102299 - 1. assign V577824 = V747976. assign V732435 = V969451 + 1. assign V394894 = V137017 + 1. assign V206543 = V041693. assign V244395 = V709079 + 1. assign V201297 = V492319. assign V404760 = V603413 - 1. assign V550924 = V488330. assign V041693 = V360937 + 1. assign V368974 = V662120. assign V371066 = V743580. assign V563486 = V014122. assign V492319 = V506951. assign V658943 = V041421. assign V282638 = V848393 - 1. assign V368345 = V101356. assign V873220 = V352964. assign V289963 = V563774. assign V121141 = V528235 + 1. assign V464063 = V812289 + 1. assign V746594 = V101356 - 1. assign V464857 = V352964 - 1. assign V427434 = V528565 + 1. assign V360937 = V424420 - 1. assign V783335 = V051479. assign V803324 = V528235. assign V246560 = V488330 + 1. assign V550116 = V690579. assign V041421 = V492319. assign V014122 = V303651. assign V033981 = V658943 - 1. assign V267165 = V244147 - 1. assign V950894 = V352964 - 1. assign V538390 = V054606 - 1. assign V843767 = V289963 + 1. assign V671943 = V728839 + 1. assign V352964 = V544966. assign V662120 = V102299 - 1. assign V933098 = V732435. assign V064201 = V812289 - 1. assign V158512 = V662120. assign V096223 = V550924 - 1. assign V744474 = V412421 + 1. assign V099379 = V142082 + 1. assign V848393 = V747976. assign V563774 = V360937 - 1. assign V649633 = V099379 - 1. assign V480327 = V747976 + 1. assign V526759 = V404760. assign V665230 = V444066 + 1. assign V266881 = V201297. assign V303651 = V193320 - 1. assign V988098 = V444066. assign V051479 = V794489 + 1. assign V005340 = V282638 + 1. assign V794489 = V603413. assign V747976 = V886059 - 1. assign V158279 = V102299. assign V282462 = V289963. assign V853745 = V933098 + 1. assign V886059 = V102299 - 1. assign V329209 = V488330 - 1. assign V052415 = V865590 + 1. assign V700460 = V079160. assign V961044 = V708873. assign V692845 = V886059 + 1. assign V556454 = V865590. assign V080828 = V873220. assign V054606 = V886059. assign V864188 = V848393 + 1. assign V941904 = 10. assign V141010 = V033981 + 1. assign V891511 = V538779 - 1. assign V992301 = V865590 + 1. assign V524222 = V577824 - 1. assign V364848 = V505986. assign V244147 = V812289. assign V743580 = V843767 - 1. assign V912474 = V791843 - 1. assign V853897 = V692845. assign V952374 = V544966 + 1. assign V102950 = V206543 - 1. assign V709369 = V912474 - 1. assign V149058 = V780069 + 1. assign V126264 = V825287. assign V757567 = V404760. assign V328299 = V563774. assign V528565 = V603413 - 1. assign V079160 = V186545. assign V189934 = V853897. assign V518596 = V080828 - 1. assign V007903 = V366903 - 1. assign V137017 = V506951. assign V520261 = V303651. assign V420097 = V328299 - 1. assign V522777 = V732435. assign V921115 = V993533 - 1. assign V919886 = V969451. assign V798539 = V692845 + 1. assign V877608 = V079160 + 1. assign V780069 = V794489 - 1. assign V728839 = V746594 - 1. assign V725426 = V733538 + 1. assign V934135 = V616056. assign V791843 = V788520 + 1. assign V812289 = V891511. assign V448183 = V563774. assign V412421 = V843767 - 1. assign V014864 = V544966 + 1. assign V039674 = V941904 + 1. assign V865590 = V692845 + 1. assign V101470 = V505986 - 1. assign V927922 = V441098. assign V130243 = V009371 + 1. assign V989055 = V843767. assign V505986 = V102299 + 1. assign V144500 = V142082 + 1. assign V209056 = V441098 - 1. assign V724014 = V550116 - 1. assign V312204 = V193320 + 1. assign V101356 = V538779 - 1. assign V488330 = V544966 - 1. assign V733538 = V464857 + 1. assign V613822 = V492319. assign V595430 = V506951 - 1. assign V380108 = V783335 + 1. assign V709079 = V662120 + 1. assign V843125 = V544966 - 1. assign V060165 = V328299 - 1. assign V544966 = V368974. assign V362267 = V101356. assign V009371 = V732435 + 1. assign V971720 = V577824. assign V969451 = V142082 - 1. assign V603413 = V891511. assign V901051 = V921115 - 1. assign V142082 = V662120 + 1. assign V374607 = V329209 + 1. assign V597068 = V101356 - 1. assign V528235 = V368974 - 1. assign V575712 = V927922 + 1. assign V193320 = V544966. assign V366903 = V992301. assign V012803 = V538390 + 1. assign V788520 = V303651. assign V708873 = V971720. assign V441098 = V368974 + 1. assign V735029 = V912474 - 1. assign V803372 = V328299. assign V272455 = V052415 + 1. assign V142660 = V700460. assign V047913 = V746594 + 1. assign V186545 = V538779 - 1. assign V690579 = V662120 - 1. assign V866485 = V101356. assign V415181 = V441098. assign V397464 = V374607 - 1. assign V424420 = V886059 + 1. assign V918407 = V865590. assign V106912 = V201297 + 1. assign V553252 = V441098 - 1. assign V616056 = V041693 - 1. assign V506951 = V662120. assign V310371 = V054606 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V825287 = V933098. assign V584641 = V747976 - 1. assign V037795 = V969451. assign V538779 = V506951 + 1. assign V993533 = V853897 + 1. assign V444066 = V099379 + 1. assign V602276 = V394894 - 1. assign V139443 = V102299 - 1. assign V577824 = V747976. assign V732435 = V969451 + 1. assign V394894 = V137017 + 1. assign V206543 = V041693. assign V244395 = V709079 + 1. assign V201297 = V492319. assign V404760 = V603413 - 1. assign V550924 = V488330. assign V041693 = V360937 + 1. assign V368974 = V662120. assign V371066 = V743580. assign V563486 = V014122. assign V492319 = V506951. assign V658943 = V041421. assign V282638 = V848393 - 1. assign V368345 = V101356. assign V873220 = V352964. assign V289963 = V563774. assign V121141 = V528235 + 1. assign V464063 = V812289 + 1. assign V746594 = V101356 - 1. assign V464857 = V352964 - 1. assign V427434 = V528565 + 1. assign V360937 = V424420 - 1. assign V783335 = V051479. assign V803324 = V528235. assign V246560 = V488330 + 1. assign V550116 = V690579. assign V041421 = V492319. assign V014122 = V303651. assign V033981 = V658943 - 1. assign V267165 = V244147 - 1. assign V950894 = V352964 - 1. assign V538390 = V054606 - 1. assign V843767 = V289963 + 1. assign V671943 = V728839 + 1. assign V352964 = V544966. assign V662120 = V102299 - 1. assign V933098 = V732435. assign V064201 = V812289 - 1. assign V158512 = V662120. assign V096223 = V550924 - 1. assign V744474 = V412421 + 1. assign V099379 = V142082 + 1. assign V848393 = V747976. assign V563774 = V360937 - 1. assign V649633 = V099379 - 1. assign V480327 = V747976 + 1. assign V526759 = V404760. assign V665230 = V444066 + 1. assign V266881 = V201297. assign V303651 = V193320 - 1. assign V988098 = V444066. assign V051479 = V794489 + 1. assign V005340 = V282638 + 1. assign V794489 = V603413. assign V747976 = V886059 - 1. assign V158279 = V102299. assign V282462 = V289963. assign V853745 = V933098 + 1. assign V886059 = V102299 - 1. assign V329209 = V488330 - 1. assign V052415 = V865590 + 1. assign V700460 = V079160. assign V961044 = V708873. assign V692845 = V886059 + 1. assign V556454 = V865590. assign V080828 = V873220. assign V054606 = V886059. assign V864188 = V848393 + 1. assign V941904 = 10. assign V141010 = V033981 + 1. assign V891511 = V538779 - 1. assign V992301 = V865590 + 1. assign V524222 = V577824 - 1. assign V364848 = V505986. assign V244147 = V812289. assign V743580 = V843767 - 1. assign V912474 = V791843 - 1. assign V853897 = V692845. assign V952374 = V544966 + 1. assign V102950 = V206543 - 1. assign V709369 = V912474 - 1. assign V149058 = V780069 + 1. assign V126264 = V825287. assign V757567 = V404760. assign V328299 = V563774. assign V528565 = V603413 - 1. assign V079160 = V186545. assign V189934 = V853897. assign V518596 = V080828 - 1. assign V007903 = V366903 - 1. assign V137017 = V506951. assign V520261 = V303651. assign V420097 = V328299 - 1. assign V522777 = V732435. assign V921115 = V993533 - 1. assign V919886 = V969451. assign V798539 = V692845 + 1. assign V877608 = V079160 + 1. assign V780069 = V794489 - 1. assign V728839 = V746594 - 1. assign V725426 = V733538 + 1. assign V934135 = V616056. assign V791843 = V788520 + 1. assign V812289 = V891511. assign V448183 = V563774. assign V412421 = V843767 - 1. assign V014864 = V544966 + 1. assign V039674 = V941904 + 1. assign V865590 = V692845 + 1. assign V101470 = V505986 - 1. assign V927922 = V441098. assign V130243 = V009371 + 1. assign V989055 = V843767. assign V505986 = V102299 + 1. assign V144500 = V142082 + 1. assign V209056 = V441098 - 1. assign V724014 = V550116 - 1. assign V312204 = V193320 + 1. assign V101356 = V538779 - 1. assign V488330 = V544966 - 1. assign V733538 = V464857 + 1. assign V613822 = V492319. assign V595430 = V506951 - 1. assign V380108 = V783335 + 1. assign V709079 = V662120 + 1. assign V843125 = V544966 - 1. assign V060165 = V328299 - 1. assign V544966 = V368974. assign V362267 = V101356. assign V009371 = V732435 + 1. assign V971720 = V577824. assign V969451 = V142082 - 1. assign V603413 = V891511. assign V901051 = V921115 - 1. assign V142082 = V662120 + 1. assign V374607 = V329209 + 1. assign V597068 = V101356 - 1. assign V528235 = V368974 - 1. assign V575712 = V927922 + 1. assign V193320 = V544966. assign V366903 = V992301. assign V012803 = V538390 + 1. assign V788520 = V303651. assign V708873 = V971720. assign V441098 = V368974 + 1. assign V735029 = V912474 - 1. assign V803372 = V328299. assign V272455 = V052415 + 1. assign V142660 = V700460. assign V047913 = V746594 + 1. assign V186545 = V538779 - 1. assign V690579 = V662120 - 1. assign V866485 = V101356. assign V415181 = V441098. assign V397464 = V374607 - 1. assign V424420 = V886059 + 1. assign V918407 = V865590. assign V106912 = V201297 + 1. assign V553252 = V441098 - 1. assign V616056 = V041693 - 1. assign V506951 = V662120. assign V310371 = V054606 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV941904 = 10;\n\nFrom these direct assignment(s), we have: \nV039674 = V941904 + 1 = 10 + 1 =11;\nNo other variables can be derived from V039674;\nNo other variables can be derived from V941904;\n\nNow we have done all the calculations. Derived variables are:\nV941904 = 10;\nV039674 = 11;\n\nNow we have finished this problem. ANSWER:\nV941904\n", "role": "assistant" } ]

[ "V763905" ]

[ { "content": "<context>\nassign V553754 = V747985 - 1. assign V614068 = V801926 - 1. assign V661663 = V263338 + 1. assign V011818 = V035306 + 1. assign V764427 = V839353 - 1. assign V532512 = V998395 - 1. assign V845173 = V637421. assign V213060 = V948246 + 1. assign V444788 = V448321. assign V134765 = V337605. assign V117402 = V839353 - 1. assign V086866 = V918123 + 1. assign V123464 = V355524 + 1. assign V268461 = V747985. assign V133054 = V011818 + 1. assign V486164 = V011818 + 1. assign V747985 = V401534. assign V354533 = V699704. assign V051483 = V918123 - 1. assign V119240 = V902972 - 1. assign V581391 = V747985. assign V943974 = V699704 + 1. assign V391693 = V466024. assign V193555 = V473129 - 1. assign V190592 = V839353 + 1. assign V029848 = V614068 + 1. assign V472567 = V532512 + 1. assign V198874 = V362631 + 1. assign V683119 = V341287. assign V321542 = V337605. assign V717115 = V355524 + 1. assign V045733 = V961050. assign V655026 = V130372. assign V401534 = V699704 + 1. assign V039199 = V764427 + 1. assign V549208 = V299608 + 1. assign V130372 = V045733 + 1. assign V760230 = V044180 + 1. assign V002593 = V961050 - 1. assign V362631 = V758032. assign V609687 = V401534 - 1. assign V801926 = V690717. assign V044180 = V401534 + 1. assign V852026 = V961050. assign V341287 = V355524. assign V877946 = V715054 - 1. assign V755065 = V763905 + 1. assign V882764 = V935295. assign V636639 = V002593. assign V138405 = V998395 - 1. assign V607625 = V839353 - 1. assign V630907 = V733948. assign V745769 = V002593 + 1. assign V788760 = V401123 - 1. assign V767045 = V614068 - 1. assign V509401 = V570763. assign V538153 = V607625 + 1. assign V633988 = V362631 - 1. assign V387737 = V299608. assign V506337 = V948246. assign V390338 = V637421 - 1. assign V902972 = V760230 + 1. assign V806803 = V703378. assign V758032 = V401534 - 1. assign V750311 = V044180. assign V892211 = V226763 - 1. assign V227310 = V044180. assign V200858 = V738239 + 1. assign V096259 = V252370 - 1. assign V408111 = V935295. assign V007977 = V788760 + 1. assign V129405 = V393938 + 1. assign V316567 = V849786 - 1. assign V998817 = V974366 - 1. assign V222136 = V354533. assign V882593 = V316567. assign V193482 = V468946 + 1. assign V433706 = V691165 + 1. assign V126585 = V466024. assign V243943 = V534039. assign V901650 = V466024 - 1. assign V401123 = V086866 - 1. assign V355524 = V011818 - 1. assign V418470 = V341287 - 1. assign V267405 = V759585 + 1. assign V733948 = V614068. assign V264043 = V690717 - 1. assign V377425 = V045733 + 1. assign V226763 = V935295. assign V035306 = V961050 - 1. assign V337605 = V133054. assign V637421 = V122639. assign V579410 = V418470. assign V918123 = V699704 - 1. assign V668664 = V774203 - 1. assign V750895 = V401534 + 1. assign V479310 = V807576 + 1. assign V895159 = V750311 - 1. assign V521209 = V943974 - 1. assign V270120 = V950237 - 1. assign V064040 = V699704. assign V183362 = V699704. assign V966720 = V237412 - 1. assign V417876 = V130372 + 1. assign V263338 = V134765 - 1. assign V299608 = V758032 + 1. assign V807576 = V690717 + 1. assign V755278 = V042624 - 1. assign V533516 = V133054 - 1. assign V017643 = V943974 + 1. assign V747970 = V377425 - 1. assign V763905 = 0. assign V662475 = V895159 - 1. assign V583187 = V998817 - 1. assign V252370 = V764427 + 1. assign V115299 = V130372 + 1. assign V466024 = V468946 + 1. assign V189749 = V690717 + 1. assign V879369 = V115299 - 1. assign V998395 = V807576. assign V856408 = V747985 + 1. assign V283336 = V002593. assign V049155 = V401534 - 1. assign V926992 = V747985 - 1. assign V122639 = V699704 + 1. assign V300946 = V961050 - 1. assign V280844 = V190592 - 1. assign V759585 = V002593. assign V284642 = V183362. assign V809206 = V418470 + 1. assign V249305 = V049155. assign V160873 = V193482. assign V237412 = V758032 - 1. assign V013643 = V816845. assign V315160 = V496923. assign V449003 = V190592 - 1. assign V839353 = V699704 + 1. assign V852076 = V801926. assign V774203 = V122639 + 1. assign V703378 = V341287 - 1. assign V453932 = V190592 - 1. assign V928332 = V738239 + 1. assign V699704 = V961050. assign V661890 = V177447 + 1. assign V213727 = V852026 + 1. assign V816248 = V086866 + 1. assign V089719 = V321542 + 1. assign V393938 = V316567. assign V816845 = V764427. assign V568926 = V764427. assign V849970 = V268461. assign V738239 = V607625 + 1. assign V935295 = V699704. assign V042624 = V699704 - 1. assign V950237 = V044180 + 1. assign V715054 = V300946 - 1. assign V496923 = V801926 + 1. assign V115078 = V758032 + 1. assign V849786 = V715054. assign V253258 = V280844. assign V691165 = V579410 - 1. assign V448321 = V902972 + 1. assign V473129 = V391693. assign V690717 = V961050. assign V177447 = V774203 + 1. assign V948246 = V961050 + 1. assign V631585 = V138405 + 1. assign V570763 = V747985. assign V974366 = V316567. assign V996696 = V011818 - 1. assign V534039 = V607625 - 1. assign V468946 = V042624 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V553754 = V747985 - 1. assign V614068 = V801926 - 1. assign V661663 = V263338 + 1. assign V011818 = V035306 + 1. assign V764427 = V839353 - 1. assign V532512 = V998395 - 1. assign V845173 = V637421. assign V213060 = V948246 + 1. assign V444788 = V448321. assign V134765 = V337605. assign V117402 = V839353 - 1. assign V086866 = V918123 + 1. assign V123464 = V355524 + 1. assign V268461 = V747985. assign V133054 = V011818 + 1. assign V486164 = V011818 + 1. assign V747985 = V401534. assign V354533 = V699704. assign V051483 = V918123 - 1. assign V119240 = V902972 - 1. assign V581391 = V747985. assign V943974 = V699704 + 1. assign V391693 = V466024. assign V193555 = V473129 - 1. assign V190592 = V839353 + 1. assign V029848 = V614068 + 1. assign V472567 = V532512 + 1. assign V198874 = V362631 + 1. assign V683119 = V341287. assign V321542 = V337605. assign V717115 = V355524 + 1. assign V045733 = V961050. assign V655026 = V130372. assign V401534 = V699704 + 1. assign V039199 = V764427 + 1. assign V549208 = V299608 + 1. assign V130372 = V045733 + 1. assign V760230 = V044180 + 1. assign V002593 = V961050 - 1. assign V362631 = V758032. assign V609687 = V401534 - 1. assign V801926 = V690717. assign V044180 = V401534 + 1. assign V852026 = V961050. assign V341287 = V355524. assign V877946 = V715054 - 1. assign V755065 = V763905 + 1. assign V882764 = V935295. assign V636639 = V002593. assign V138405 = V998395 - 1. assign V607625 = V839353 - 1. assign V630907 = V733948. assign V745769 = V002593 + 1. assign V788760 = V401123 - 1. assign V767045 = V614068 - 1. assign V509401 = V570763. assign V538153 = V607625 + 1. assign V633988 = V362631 - 1. assign V387737 = V299608. assign V506337 = V948246. assign V390338 = V637421 - 1. assign V902972 = V760230 + 1. assign V806803 = V703378. assign V758032 = V401534 - 1. assign V750311 = V044180. assign V892211 = V226763 - 1. assign V227310 = V044180. assign V200858 = V738239 + 1. assign V096259 = V252370 - 1. assign V408111 = V935295. assign V007977 = V788760 + 1. assign V129405 = V393938 + 1. assign V316567 = V849786 - 1. assign V998817 = V974366 - 1. assign V222136 = V354533. assign V882593 = V316567. assign V193482 = V468946 + 1. assign V433706 = V691165 + 1. assign V126585 = V466024. assign V243943 = V534039. assign V901650 = V466024 - 1. assign V401123 = V086866 - 1. assign V355524 = V011818 - 1. assign V418470 = V341287 - 1. assign V267405 = V759585 + 1. assign V733948 = V614068. assign V264043 = V690717 - 1. assign V377425 = V045733 + 1. assign V226763 = V935295. assign V035306 = V961050 - 1. assign V337605 = V133054. assign V637421 = V122639. assign V579410 = V418470. assign V918123 = V699704 - 1. assign V668664 = V774203 - 1. assign V750895 = V401534 + 1. assign V479310 = V807576 + 1. assign V895159 = V750311 - 1. assign V521209 = V943974 - 1. assign V270120 = V950237 - 1. assign V064040 = V699704. assign V183362 = V699704. assign V966720 = V237412 - 1. assign V417876 = V130372 + 1. assign V263338 = V134765 - 1. assign V299608 = V758032 + 1. assign V807576 = V690717 + 1. assign V755278 = V042624 - 1. assign V533516 = V133054 - 1. assign V017643 = V943974 + 1. assign V747970 = V377425 - 1. assign V763905 = 0. assign V662475 = V895159 - 1. assign V583187 = V998817 - 1. assign V252370 = V764427 + 1. assign V115299 = V130372 + 1. assign V466024 = V468946 + 1. assign V189749 = V690717 + 1. assign V879369 = V115299 - 1. assign V998395 = V807576. assign V856408 = V747985 + 1. assign V283336 = V002593. assign V049155 = V401534 - 1. assign V926992 = V747985 - 1. assign V122639 = V699704 + 1. assign V300946 = V961050 - 1. assign V280844 = V190592 - 1. assign V759585 = V002593. assign V284642 = V183362. assign V809206 = V418470 + 1. assign V249305 = V049155. assign V160873 = V193482. assign V237412 = V758032 - 1. assign V013643 = V816845. assign V315160 = V496923. assign V449003 = V190592 - 1. assign V839353 = V699704 + 1. assign V852076 = V801926. assign V774203 = V122639 + 1. assign V703378 = V341287 - 1. assign V453932 = V190592 - 1. assign V928332 = V738239 + 1. assign V699704 = V961050. assign V661890 = V177447 + 1. assign V213727 = V852026 + 1. assign V816248 = V086866 + 1. assign V089719 = V321542 + 1. assign V393938 = V316567. assign V816845 = V764427. assign V568926 = V764427. assign V849970 = V268461. assign V738239 = V607625 + 1. assign V935295 = V699704. assign V042624 = V699704 - 1. assign V950237 = V044180 + 1. assign V715054 = V300946 - 1. assign V496923 = V801926 + 1. assign V115078 = V758032 + 1. assign V849786 = V715054. assign V253258 = V280844. assign V691165 = V579410 - 1. assign V448321 = V902972 + 1. assign V473129 = V391693. assign V690717 = V961050. assign V177447 = V774203 + 1. assign V948246 = V961050 + 1. assign V631585 = V138405 + 1. assign V570763 = V747985. assign V974366 = V316567. assign V996696 = V011818 - 1. assign V534039 = V607625 - 1. assign V468946 = V042624 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV763905 = 0;\n\nFrom these direct assignment(s), we have: \nV755065 = V763905 + 1 = 0 + 1 =1;\nNo other variables can be derived from V755065;\nNo other variables can be derived from V763905;\n\nNow we have done all the calculations. Derived variables are:\nV763905 = 0;\nV755065 = 1;\n\nNow we have finished this problem. ANSWER:\nV763905\n", "role": "assistant" } ]

[ "V037357", "V693607" ]

[ { "content": "<context>\nassign V398107 = V217045 - 1. assign V356470 = V280425 - 1. assign V094475 = V067902 - 1. assign V916561 = V861515 - 1. assign V117371 = V206439 - 1. assign V133339 = V757422. assign V924629 = V067902 + 1. assign V362564 = V150667. assign V670083 = V714858 + 1. assign V100604 = V763455 + 1. assign V640838 = V335067 - 1. assign V110748 = V466136. assign V757422 = V150667. assign V206439 = V730644. assign V797839 = V549346 + 1. assign V667021 = V203695. assign V560578 = V527904 - 1. assign V469890 = V549346 - 1. assign V708972 = V319457 + 1. assign V504180 = V656347 + 1. assign V386123 = V800455 + 1. assign V518085 = V481169 + 1. assign V359542 = V094475. assign V800455 = V190779 - 1. assign V612872 = V356470 - 1. assign V861515 = V800455 + 1. assign V077390 = V398107 + 1. assign V570740 = V281741 - 1. assign V638564 = V532052 + 1. assign V272138 = V398665. assign V334822 = V570740 - 1. assign V151187 = V295300 + 1. assign V671479 = V442582. assign V552083 = V272138 - 1. assign V799339 = V165206. assign V085119 = V190779 + 1. assign V810646 = V763455 - 1. assign V038476 = V581485 + 1. assign V129774 = V226374 + 1. assign V040245 = V549078. assign V681631 = V150667 + 1. assign V304277 = V433707. assign V730644 = V335067 - 1. assign V095626 = V115973 + 1. assign V900112 = V085119. assign V431662 = V281741 + 1. assign V551470 = V442582 - 1. assign V756091 = V012984. assign V527904 = V602168 - 1. assign V894348 = V067902 - 1. assign V555815 = V110748. assign V272189 = V552083 + 1. assign V549346 = V800455. assign V391994 = V392148 - 1. assign V392148 = V467493 + 1. assign V028408 = V443794. assign V281741 = V701424 - 1. assign V069426 = V602168. assign V931600 = V123975. assign V769312 = V226374. assign V460679 = V701424. assign V071427 = V319457 - 1. assign V753672 = V602168 - 1. assign V443794 = V129774. assign V581350 = V379370 - 1. assign V481169 = V701424. assign V437621 = V295300. assign V115973 = V386123. assign V517009 = V603976 + 1. assign V182442 = V040245. assign V203159 = V206439 - 1. assign V602168 = V190779 - 1. assign V076863 = V367539. assign V242375 = V800455. assign V503926 = V281741. assign V972928 = V730644. assign V398665 = V335067 + 1. assign V284372 = V549078 - 1. assign V295300 = V284372 + 1. assign V815162 = V304277. assign V280425 = V972928. assign V150667 = V281741 - 1. assign V185112 = V069426 - 1. assign V980391 = V296248 - 1. assign V848413 = V185112 - 1. assign V266609 = V398665. assign V834408 = V570740. assign V364369 = V602168. assign V293027 = V670083. assign V319457 = V392148 + 1. assign V778897 = V284372 - 1. assign V814791 = V603976 - 1. assign V581485 = V862629 + 1. assign V931614 = V862629 + 1. assign V256038 = V673938 + 1. assign V184874 = V927683 - 1. assign V515013 = V861515 - 1. assign V296248 = V085119. assign V586089 = V708972 + 1. assign V637586 = V810646 + 1. assign V701622 = V293027. assign V693607 = V037357. assign V379370 = V094475 + 1. assign V623073 = V182442 + 1. assign V595534 = V549078 + 1. assign V927683 = V862629. assign V108810 = V640838. assign V530733 = V012984. assign V242989 = V094475 - 1. assign V318896 = V670083 + 1. assign V334565 = V011838. assign V984337 = V129774. assign V336000 = V570740 - 1. assign V123975 = V085119 + 1. assign V349640 = V916561 - 1. assign V519525 = V398107. assign V532052 = V797839 + 1. assign V067902 = V012984 - 1. assign V660624 = V570740 + 1. assign V714858 = V701424. assign V273812 = V281741. assign V037357 = 5. assign V862629 = V182442 + 1. assign V452882 = V190779 + 1. assign V631225 = V151187 - 1. assign V981037 = V012984 + 1. assign V466136 = V452882 - 1. assign V070888 = V586089 + 1. assign V751476 = V800455 - 1. assign V226374 = V335067 + 1. assign V413278 = V296248. assign V015444 = V671479 - 1. assign V335067 = V190779 + 1. assign V217045 = V549346 + 1. assign V705017 = V043251 + 1. assign V601372 = V552083 - 1. assign V695264 = V701424 - 1. assign V011838 = V043251 - 1. assign V472846 = V797839 + 1. assign V576471 = V714858. assign V948266 = V515013 - 1. assign V673938 = V386123. assign V885412 = V552083 + 1. assign V225922 = V379370 - 1. assign V979059 = V503926. assign V545731 = V452882. assign V810431 = V335067 - 1. assign V433707 = V392148 - 1. assign V012984 = V281741 - 1. assign V036147 = V040245. assign V776287 = V242375 + 1. assign V197139 = V266609. assign V701424 = V602168. assign V284391 = V151187. assign V165206 = V295300 - 1. assign V103419 = V527904 + 1. assign V348912 = V603976 + 1. assign V043251 = V560578 + 1. assign V831448 = V036147 - 1. assign V603976 = V335067. assign V203695 = V656347 + 1. assign V619822 = V442582 - 1. assign V173192 = V515013. assign V565076 = V319457. assign V027177 = V242375. assign V549078 = V281741. assign V656347 = V527904 + 1. assign V467493 = V266609 - 1. assign V010024 = V800455. assign V367539 = V217045. assign V763455 = V203695. assign V442582 = V364369.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V398107 = V217045 - 1. assign V356470 = V280425 - 1. assign V094475 = V067902 - 1. assign V916561 = V861515 - 1. assign V117371 = V206439 - 1. assign V133339 = V757422. assign V924629 = V067902 + 1. assign V362564 = V150667. assign V670083 = V714858 + 1. assign V100604 = V763455 + 1. assign V640838 = V335067 - 1. assign V110748 = V466136. assign V757422 = V150667. assign V206439 = V730644. assign V797839 = V549346 + 1. assign V667021 = V203695. assign V560578 = V527904 - 1. assign V469890 = V549346 - 1. assign V708972 = V319457 + 1. assign V504180 = V656347 + 1. assign V386123 = V800455 + 1. assign V518085 = V481169 + 1. assign V359542 = V094475. assign V800455 = V190779 - 1. assign V612872 = V356470 - 1. assign V861515 = V800455 + 1. assign V077390 = V398107 + 1. assign V570740 = V281741 - 1. assign V638564 = V532052 + 1. assign V272138 = V398665. assign V334822 = V570740 - 1. assign V151187 = V295300 + 1. assign V671479 = V442582. assign V552083 = V272138 - 1. assign V799339 = V165206. assign V085119 = V190779 + 1. assign V810646 = V763455 - 1. assign V038476 = V581485 + 1. assign V129774 = V226374 + 1. assign V040245 = V549078. assign V681631 = V150667 + 1. assign V304277 = V433707. assign V730644 = V335067 - 1. assign V095626 = V115973 + 1. assign V900112 = V085119. assign V431662 = V281741 + 1. assign V551470 = V442582 - 1. assign V756091 = V012984. assign V527904 = V602168 - 1. assign V894348 = V067902 - 1. assign V555815 = V110748. assign V272189 = V552083 + 1. assign V549346 = V800455. assign V391994 = V392148 - 1. assign V392148 = V467493 + 1. assign V028408 = V443794. assign V281741 = V701424 - 1. assign V069426 = V602168. assign V931600 = V123975. assign V769312 = V226374. assign V460679 = V701424. assign V071427 = V319457 - 1. assign V753672 = V602168 - 1. assign V443794 = V129774. assign V581350 = V379370 - 1. assign V481169 = V701424. assign V437621 = V295300. assign V115973 = V386123. assign V517009 = V603976 + 1. assign V182442 = V040245. assign V203159 = V206439 - 1. assign V602168 = V190779 - 1. assign V076863 = V367539. assign V242375 = V800455. assign V503926 = V281741. assign V972928 = V730644. assign V398665 = V335067 + 1. assign V284372 = V549078 - 1. assign V295300 = V284372 + 1. assign V815162 = V304277. assign V280425 = V972928. assign V150667 = V281741 - 1. assign V185112 = V069426 - 1. assign V980391 = V296248 - 1. assign V848413 = V185112 - 1. assign V266609 = V398665. assign V834408 = V570740. assign V364369 = V602168. assign V293027 = V670083. assign V319457 = V392148 + 1. assign V778897 = V284372 - 1. assign V814791 = V603976 - 1. assign V581485 = V862629 + 1. assign V931614 = V862629 + 1. assign V256038 = V673938 + 1. assign V184874 = V927683 - 1. assign V515013 = V861515 - 1. assign V296248 = V085119. assign V586089 = V708972 + 1. assign V637586 = V810646 + 1. assign V701622 = V293027. assign V693607 = V037357. assign V379370 = V094475 + 1. assign V623073 = V182442 + 1. assign V595534 = V549078 + 1. assign V927683 = V862629. assign V108810 = V640838. assign V530733 = V012984. assign V242989 = V094475 - 1. assign V318896 = V670083 + 1. assign V334565 = V011838. assign V984337 = V129774. assign V336000 = V570740 - 1. assign V123975 = V085119 + 1. assign V349640 = V916561 - 1. assign V519525 = V398107. assign V532052 = V797839 + 1. assign V067902 = V012984 - 1. assign V660624 = V570740 + 1. assign V714858 = V701424. assign V273812 = V281741. assign V037357 = 5. assign V862629 = V182442 + 1. assign V452882 = V190779 + 1. assign V631225 = V151187 - 1. assign V981037 = V012984 + 1. assign V466136 = V452882 - 1. assign V070888 = V586089 + 1. assign V751476 = V800455 - 1. assign V226374 = V335067 + 1. assign V413278 = V296248. assign V015444 = V671479 - 1. assign V335067 = V190779 + 1. assign V217045 = V549346 + 1. assign V705017 = V043251 + 1. assign V601372 = V552083 - 1. assign V695264 = V701424 - 1. assign V011838 = V043251 - 1. assign V472846 = V797839 + 1. assign V576471 = V714858. assign V948266 = V515013 - 1. assign V673938 = V386123. assign V885412 = V552083 + 1. assign V225922 = V379370 - 1. assign V979059 = V503926. assign V545731 = V452882. assign V810431 = V335067 - 1. assign V433707 = V392148 - 1. assign V012984 = V281741 - 1. assign V036147 = V040245. assign V776287 = V242375 + 1. assign V197139 = V266609. assign V701424 = V602168. assign V284391 = V151187. assign V165206 = V295300 - 1. assign V103419 = V527904 + 1. assign V348912 = V603976 + 1. assign V043251 = V560578 + 1. assign V831448 = V036147 - 1. assign V603976 = V335067. assign V203695 = V656347 + 1. assign V619822 = V442582 - 1. assign V173192 = V515013. assign V565076 = V319457. assign V027177 = V242375. assign V549078 = V281741. assign V656347 = V527904 + 1. assign V467493 = V266609 - 1. assign V010024 = V800455. assign V367539 = V217045. assign V763455 = V203695. assign V442582 = V364369.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV037357 = 5;\n\nFrom these direct assignment(s), we have: \nV693607 = V037357 = 5;\nNo other variables can be derived from V693607;\nNo other variables can be derived from V037357;\n\nNow we have done all the calculations. Derived variables are:\nV037357 = 5;\nV693607 = 5;\n\nNow we have finished this problem. ANSWER:\nV037357, V693607\n", "role": "assistant" } ]

[ "V476579", "V313080" ]

[ { "content": "<context>\nassign V402423 = V789893 - 1. assign V614859 = V455669 + 1. assign V027136 = V333640 - 1. assign V619519 = V429166. assign V228253 = V244259. assign V339099 = V595753 - 1. assign V775430 = V763991 + 1. assign V288995 = V239430 + 1. assign V538417 = V959822. assign V272511 = V558901. assign V386947 = V347687. assign V455669 = V677113 + 1. assign V700994 = V343782 + 1. assign V976255 = V619519. assign V475436 = V969145. assign V182091 = V442076 + 1. assign V289189 = V959492 - 1. assign V532840 = V574238 - 1. assign V141968 = V395754. assign V986908 = V802277 - 1. assign V972925 = V386947 - 1. assign V525495 = V244259 - 1. assign V540398 = V357429 + 1. assign V221178 = V752092. assign V802277 = V457010. assign V089222 = V965129 - 1. assign V523641 = V866614. assign V867429 = V512697 + 1. assign V481905 = V505928 + 1. assign V883199 = V060970. assign V216795 = V972925 + 1. assign V526402 = V317680 - 1. assign V949693 = V786175. assign V068512 = V333640 + 1. assign V060837 = V274506. assign V400674 = V771359 - 1. assign V574238 = V086346 + 1. assign V644130 = V027136 - 1. assign V769749 = V296944. assign V276813 = V540398 + 1. assign V722212 = V086346 + 1. assign V545696 = V317680 - 1. assign V604009 = V671698 + 1. assign V771359 = V839550. assign V239273 = V839550 - 1. assign V618044 = V644130 - 1. assign V846782 = V400674 - 1. assign V608351 = V769749 + 1. assign V421203 = V386947. assign V407842 = V343782 + 1. assign V998807 = V826229. assign V407583 = V347687 + 1. assign V636543 = V619519 - 1. assign V347687 = V677113. assign V343782 = V333640 - 1. assign V073786 = V614859 + 1. assign V583794 = V769749 - 1. assign V519866 = V326617. assign V447735 = V595753. assign V747958 = V849264. assign V895179 = V457010 - 1. assign V987889 = V644130 - 1. assign V919527 = V578579. assign V792928 = V802277. assign V395754 = V866614. assign V578579 = V972925 + 1. assign V442076 = V317680 + 1. assign V949377 = V350633. assign V060970 = V481905 - 1. assign V969145 = V546602 - 1. assign V965129 = V192583. assign V677113 = V086346 - 1. assign V662307 = V333640 - 1. assign V752092 = V969145. assign V512697 = V953667 + 1. assign V558901 = V095194. assign V850796 = V920589. assign V826690 = V095194 + 1. assign V347011 = V407583 - 1. assign V094817 = V866614 + 1. assign V051493 = V978334 - 1. assign V024018 = V068512 + 1. assign V773522 = V498701 + 1. assign V505928 = V976255 - 1. assign V546602 = V296944 - 1. assign V326617 = V442076 - 1. assign V920589 = V578579. assign V789893 = V583794 + 1. assign V563489 = V714754. assign V953667 = V722212. assign V026605 = V216795 + 1. assign V537943 = V714754 + 1. assign V592580 = V333640. assign V264029 = V060837 - 1. assign V347503 = V095194. assign V145723 = V013991 - 1. assign V714754 = V086346 + 1. assign V357429 = V355880. assign V924442 = V027136. assign V274506 = V714754 + 1. assign V234796 = V274506 - 1. assign V195741 = V395754 - 1. assign V244259 = V856729. assign V052084 = V145723 + 1. assign V951645 = V386947 - 1. assign V715177 = V024018. assign V476579 = 3. assign V536225 = V243098 - 1. assign V498701 = V608351 + 1. assign V595753 = V086346 + 1. assign V531988 = V343782. assign V866614 = V546602 + 1. assign V494711 = V086346 - 1. assign V592357 = V578579 - 1. assign V901748 = V429166. assign V959492 = V987889. assign V170417 = V253197 + 1. assign V356865 = V671698 - 1. assign V104788 = V920589 + 1. assign V826229 = V636543. assign V922127 = V763991 + 1. assign V086346 = V333640 - 1. assign V786175 = V969145 + 1. assign V207295 = V636543 - 1. assign V818005 = V455669. assign V591739 = V052084 - 1. assign V350633 = V296944 + 1. assign V542091 = V086346 - 1. assign V589878 = V068512 - 1. assign V934096 = V289189 + 1. assign V887128 = V228253 + 1. assign V671698 = V068512 - 1. assign V000930 = V317680 - 1. assign V243098 = V636543 + 1. assign V239430 = V421203. assign V444451 = V959822 - 1. assign V673221 = V619519 - 1. assign V040010 = V920589 - 1. assign V448963 = V192583 - 1. assign V317680 = V386947 + 1. assign V911077 = V051493 - 1. assign V253197 = V448963. assign V978334 = V969145 + 1. assign V355880 = V407583 - 1. assign V869334 = V959492. assign V839550 = V769749. assign V313080 = V476579. assign V429166 = V192583. assign V752743 = V901748 + 1. assign V192583 = V333640 - 1. assign V789214 = V024018 - 1. assign V797312 = V671698. assign V999667 = V922127 - 1. assign V478521 = V786175 + 1. assign V013991 = V333640. assign V993034 = V060837 - 1. assign V849264 = V192583 + 1. assign V095194 = V578579 + 1. assign V856729 = V013991. assign V959822 = V763991 + 1. assign V457010 = V786175 + 1. assign V733049 = V763991 + 1. assign V301048 = V976255. assign V722948 = V274506 + 1. assign V580517 = V677113. assign V296944 = V274506. assign V316387 = V333640 - 1. assign V417984 = V763991 + 1. assign V763991 = V604009 + 1. assign V807425 = V965129 - 1. assign V269480 = V532840 - 1. assign V067021 = V677113 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V402423 = V789893 - 1. assign V614859 = V455669 + 1. assign V027136 = V333640 - 1. assign V619519 = V429166. assign V228253 = V244259. assign V339099 = V595753 - 1. assign V775430 = V763991 + 1. assign V288995 = V239430 + 1. assign V538417 = V959822. assign V272511 = V558901. assign V386947 = V347687. assign V455669 = V677113 + 1. assign V700994 = V343782 + 1. assign V976255 = V619519. assign V475436 = V969145. assign V182091 = V442076 + 1. assign V289189 = V959492 - 1. assign V532840 = V574238 - 1. assign V141968 = V395754. assign V986908 = V802277 - 1. assign V972925 = V386947 - 1. assign V525495 = V244259 - 1. assign V540398 = V357429 + 1. assign V221178 = V752092. assign V802277 = V457010. assign V089222 = V965129 - 1. assign V523641 = V866614. assign V867429 = V512697 + 1. assign V481905 = V505928 + 1. assign V883199 = V060970. assign V216795 = V972925 + 1. assign V526402 = V317680 - 1. assign V949693 = V786175. assign V068512 = V333640 + 1. assign V060837 = V274506. assign V400674 = V771359 - 1. assign V574238 = V086346 + 1. assign V644130 = V027136 - 1. assign V769749 = V296944. assign V276813 = V540398 + 1. assign V722212 = V086346 + 1. assign V545696 = V317680 - 1. assign V604009 = V671698 + 1. assign V771359 = V839550. assign V239273 = V839550 - 1. assign V618044 = V644130 - 1. assign V846782 = V400674 - 1. assign V608351 = V769749 + 1. assign V421203 = V386947. assign V407842 = V343782 + 1. assign V998807 = V826229. assign V407583 = V347687 + 1. assign V636543 = V619519 - 1. assign V347687 = V677113. assign V343782 = V333640 - 1. assign V073786 = V614859 + 1. assign V583794 = V769749 - 1. assign V519866 = V326617. assign V447735 = V595753. assign V747958 = V849264. assign V895179 = V457010 - 1. assign V987889 = V644130 - 1. assign V919527 = V578579. assign V792928 = V802277. assign V395754 = V866614. assign V578579 = V972925 + 1. assign V442076 = V317680 + 1. assign V949377 = V350633. assign V060970 = V481905 - 1. assign V969145 = V546602 - 1. assign V965129 = V192583. assign V677113 = V086346 - 1. assign V662307 = V333640 - 1. assign V752092 = V969145. assign V512697 = V953667 + 1. assign V558901 = V095194. assign V850796 = V920589. assign V826690 = V095194 + 1. assign V347011 = V407583 - 1. assign V094817 = V866614 + 1. assign V051493 = V978334 - 1. assign V024018 = V068512 + 1. assign V773522 = V498701 + 1. assign V505928 = V976255 - 1. assign V546602 = V296944 - 1. assign V326617 = V442076 - 1. assign V920589 = V578579. assign V789893 = V583794 + 1. assign V563489 = V714754. assign V953667 = V722212. assign V026605 = V216795 + 1. assign V537943 = V714754 + 1. assign V592580 = V333640. assign V264029 = V060837 - 1. assign V347503 = V095194. assign V145723 = V013991 - 1. assign V714754 = V086346 + 1. assign V357429 = V355880. assign V924442 = V027136. assign V274506 = V714754 + 1. assign V234796 = V274506 - 1. assign V195741 = V395754 - 1. assign V244259 = V856729. assign V052084 = V145723 + 1. assign V951645 = V386947 - 1. assign V715177 = V024018. assign V476579 = 3. assign V536225 = V243098 - 1. assign V498701 = V608351 + 1. assign V595753 = V086346 + 1. assign V531988 = V343782. assign V866614 = V546602 + 1. assign V494711 = V086346 - 1. assign V592357 = V578579 - 1. assign V901748 = V429166. assign V959492 = V987889. assign V170417 = V253197 + 1. assign V356865 = V671698 - 1. assign V104788 = V920589 + 1. assign V826229 = V636543. assign V922127 = V763991 + 1. assign V086346 = V333640 - 1. assign V786175 = V969145 + 1. assign V207295 = V636543 - 1. assign V818005 = V455669. assign V591739 = V052084 - 1. assign V350633 = V296944 + 1. assign V542091 = V086346 - 1. assign V589878 = V068512 - 1. assign V934096 = V289189 + 1. assign V887128 = V228253 + 1. assign V671698 = V068512 - 1. assign V000930 = V317680 - 1. assign V243098 = V636543 + 1. assign V239430 = V421203. assign V444451 = V959822 - 1. assign V673221 = V619519 - 1. assign V040010 = V920589 - 1. assign V448963 = V192583 - 1. assign V317680 = V386947 + 1. assign V911077 = V051493 - 1. assign V253197 = V448963. assign V978334 = V969145 + 1. assign V355880 = V407583 - 1. assign V869334 = V959492. assign V839550 = V769749. assign V313080 = V476579. assign V429166 = V192583. assign V752743 = V901748 + 1. assign V192583 = V333640 - 1. assign V789214 = V024018 - 1. assign V797312 = V671698. assign V999667 = V922127 - 1. assign V478521 = V786175 + 1. assign V013991 = V333640. assign V993034 = V060837 - 1. assign V849264 = V192583 + 1. assign V095194 = V578579 + 1. assign V856729 = V013991. assign V959822 = V763991 + 1. assign V457010 = V786175 + 1. assign V733049 = V763991 + 1. assign V301048 = V976255. assign V722948 = V274506 + 1. assign V580517 = V677113. assign V296944 = V274506. assign V316387 = V333640 - 1. assign V417984 = V763991 + 1. assign V763991 = V604009 + 1. assign V807425 = V965129 - 1. assign V269480 = V532840 - 1. assign V067021 = V677113 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV476579 = 3;\n\nFrom these direct assignment(s), we have: \nV313080 = V476579 = 3;\nNo other variables can be derived from V313080;\nNo other variables can be derived from V476579;\n\nNow we have done all the calculations. Derived variables are:\nV476579 = 3;\nV313080 = 3;\n\nNow we have finished this problem. ANSWER:\nV476579, V313080\n", "role": "assistant" } ]

[ "V053542", "V372891" ]

[ { "content": "<context>\nassign V809860 = V495946 + 1. assign V963992 = V787450 - 1. assign V552034 = V479289 + 1. assign V383762 = V035388 - 1. assign V833394 = V627527 - 1. assign V573925 = V306122 - 1. assign V210742 = V893002. assign V479289 = V893002. assign V093108 = V583080 - 1. assign V696160 = V533012 - 1. assign V760524 = V436524. assign V431873 = V544943. assign V494379 = V479289 + 1. assign V517921 = V086241 + 1. assign V833896 = V327526 + 1. assign V055582 = V086241 - 1. assign V730878 = V863108. assign V102744 = V893002. assign V707099 = V113977. assign V780226 = V923515 + 1. assign V029465 = V482088. assign V057433 = V737747 + 1. assign V145979 = V195844. assign V294118 = V633137. assign V123341 = V086241 - 1. assign V697231 = V573925 + 1. assign V237225 = V451783 - 1. assign V998725 = V196018 - 1. assign V538839 = V830287 - 1. assign V451783 = V334757 - 1. assign V688814 = V498047 + 1. assign V503272 = V086241. assign V039331 = V737747. assign V145241 = V998079. assign V327526 = V035388. assign V592185 = V362146 + 1. assign V742337 = V517921 - 1. assign V662184 = V237225. assign V518965 = V700044 + 1. assign V208905 = V294118 + 1. assign V144800 = V457525 - 1. assign V093800 = V700044. assign V705391 = V483569. assign V241578 = V633137. assign V313808 = V957486 + 1. assign V259002 = V809860 + 1. assign V674356 = V704609 - 1. assign V381908 = V123341. assign V029796 = V407127 + 1. assign V354613 = V986676. assign V962417 = V704609 - 1. assign V700044 = V335961 + 1. assign V954707 = V984739 - 1. assign V235398 = V207912 - 1. assign V495946 = V926087 - 1. assign V926087 = V984739. assign V779754 = V207912. assign V207755 = V552034 - 1. assign V826582 = V482088. assign V759609 = V923515 + 1. assign V306122 = V998079. assign V269544 = V113977 - 1. assign V200806 = V093800. assign V994600 = V369898 - 1. assign V830359 = V039331 - 1. assign V279515 = V809860 - 1. assign V971686 = V294118 - 1. assign V984739 = V544943 + 1. assign V372891 = V053542. assign V763279 = V035388 + 1. assign V339231 = V706368 - 1. assign V887495 = V451783 - 1. assign V743230 = V895050. assign V539873 = V544943. assign V934629 = V539873. assign V607765 = V706368 - 1. assign V463902 = V407127 - 1. assign V407127 = V483569 - 1. assign V457525 = V207755. assign V540649 = V306122. assign V885435 = V576873 - 1. assign V117412 = V863108. assign V957486 = V102744 - 1. assign V105909 = V895050 - 1. assign V781282 = V123341 - 1. assign V447399 = V133854 - 1. assign V470996 = V621153 - 1. assign V005400 = V463902 + 1. assign V505706 = V877981. assign V334757 = V195844 - 1. assign V369898 = V483569. assign V627527 = V123341 - 1. assign V811285 = V544943 - 1. assign V201294 = V780226 + 1. assign V671002 = V699857 + 1. assign V616741 = V552034. assign V895050 = V699857 - 1. assign V010416 = V335961 + 1. assign V523620 = V576873 + 1. assign V135403 = V953912 - 1. assign V530829 = V014793 - 1. assign V998079 = V737747 - 1. assign V583080 = V171252 + 1. assign V862586 = V674356. assign V893002 = V195844 - 1. assign V520017 = V558785 - 1. assign V808813 = V971686 + 1. assign V787450 = V700044. assign V142201 = V552034 - 1. assign V986676 = V479289 + 1. assign V725082 = V998079. assign V113977 = V984739. assign V617110 = V699857 + 1. assign V699857 = V633137 - 1. assign V053174 = V926087 + 1. assign V008325 = V633137 - 1. assign V647893 = V195844. assign V863108 = V407127 - 1. assign V633137 = V737747 + 1. assign V335961 = V294118 - 1. assign V526111 = V617110 - 1. assign V014793 = V780226. assign V533012 = V005400. assign V648252 = V039331. assign V413509 = V335961 + 1. assign V312575 = V700044. assign V004075 = V334757. assign V830287 = V539873. assign V876910 = V700044. assign V236410 = V482088. assign V002581 = V811285 + 1. assign V916882 = V145979 + 1. assign V436524 = V617110 + 1. assign V171252 = V552034 - 1. assign V706368 = V053174. assign V552182 = V306122 + 1. assign V483569 = V195844 - 1. assign V964112 = V498047 - 1. assign V498047 = V472266. assign V398431 = V607765. assign V953912 = V086241. assign V610369 = V196018 + 1. assign V117731 = V207912 + 1. assign V129071 = V210742 - 1. assign V148641 = V196018. assign V035388 = V479289 + 1. assign V116241 = V236410 - 1. assign V153090 = V923515 - 1. assign V576873 = V737747 - 1. assign V362146 = V035388. assign V369526 = V494379 + 1. assign V558785 = V957486 - 1. assign V472266 = V086241 + 1. assign V544943 = V737747. assign V877981 = V039331. assign V704609 = V617110 + 1. assign V923515 = V171252. assign V482088 = V483569 - 1. assign V930916 = V742337. assign V053542 = 7. assign V153343 = V610369. assign V196018 = V117731 + 1. assign V086241 = V195844 + 1. assign V886968 = V123341. assign V133854 = V482088. assign V207912 = V195844 - 1. assign V168345 = V811285 + 1. assign V193051 = V895050 + 1. assign V621153 = V407127 - 1. assign V737747 = V986676. assign V771827 = V145241 - 1. assign V124806 = V647893 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V809860 = V495946 + 1. assign V963992 = V787450 - 1. assign V552034 = V479289 + 1. assign V383762 = V035388 - 1. assign V833394 = V627527 - 1. assign V573925 = V306122 - 1. assign V210742 = V893002. assign V479289 = V893002. assign V093108 = V583080 - 1. assign V696160 = V533012 - 1. assign V760524 = V436524. assign V431873 = V544943. assign V494379 = V479289 + 1. assign V517921 = V086241 + 1. assign V833896 = V327526 + 1. assign V055582 = V086241 - 1. assign V730878 = V863108. assign V102744 = V893002. assign V707099 = V113977. assign V780226 = V923515 + 1. assign V029465 = V482088. assign V057433 = V737747 + 1. assign V145979 = V195844. assign V294118 = V633137. assign V123341 = V086241 - 1. assign V697231 = V573925 + 1. assign V237225 = V451783 - 1. assign V998725 = V196018 - 1. assign V538839 = V830287 - 1. assign V451783 = V334757 - 1. assign V688814 = V498047 + 1. assign V503272 = V086241. assign V039331 = V737747. assign V145241 = V998079. assign V327526 = V035388. assign V592185 = V362146 + 1. assign V742337 = V517921 - 1. assign V662184 = V237225. assign V518965 = V700044 + 1. assign V208905 = V294118 + 1. assign V144800 = V457525 - 1. assign V093800 = V700044. assign V705391 = V483569. assign V241578 = V633137. assign V313808 = V957486 + 1. assign V259002 = V809860 + 1. assign V674356 = V704609 - 1. assign V381908 = V123341. assign V029796 = V407127 + 1. assign V354613 = V986676. assign V962417 = V704609 - 1. assign V700044 = V335961 + 1. assign V954707 = V984739 - 1. assign V235398 = V207912 - 1. assign V495946 = V926087 - 1. assign V926087 = V984739. assign V779754 = V207912. assign V207755 = V552034 - 1. assign V826582 = V482088. assign V759609 = V923515 + 1. assign V306122 = V998079. assign V269544 = V113977 - 1. assign V200806 = V093800. assign V994600 = V369898 - 1. assign V830359 = V039331 - 1. assign V279515 = V809860 - 1. assign V971686 = V294118 - 1. assign V984739 = V544943 + 1. assign V372891 = V053542. assign V763279 = V035388 + 1. assign V339231 = V706368 - 1. assign V887495 = V451783 - 1. assign V743230 = V895050. assign V539873 = V544943. assign V934629 = V539873. assign V607765 = V706368 - 1. assign V463902 = V407127 - 1. assign V407127 = V483569 - 1. assign V457525 = V207755. assign V540649 = V306122. assign V885435 = V576873 - 1. assign V117412 = V863108. assign V957486 = V102744 - 1. assign V105909 = V895050 - 1. assign V781282 = V123341 - 1. assign V447399 = V133854 - 1. assign V470996 = V621153 - 1. assign V005400 = V463902 + 1. assign V505706 = V877981. assign V334757 = V195844 - 1. assign V369898 = V483569. assign V627527 = V123341 - 1. assign V811285 = V544943 - 1. assign V201294 = V780226 + 1. assign V671002 = V699857 + 1. assign V616741 = V552034. assign V895050 = V699857 - 1. assign V010416 = V335961 + 1. assign V523620 = V576873 + 1. assign V135403 = V953912 - 1. assign V530829 = V014793 - 1. assign V998079 = V737747 - 1. assign V583080 = V171252 + 1. assign V862586 = V674356. assign V893002 = V195844 - 1. assign V520017 = V558785 - 1. assign V808813 = V971686 + 1. assign V787450 = V700044. assign V142201 = V552034 - 1. assign V986676 = V479289 + 1. assign V725082 = V998079. assign V113977 = V984739. assign V617110 = V699857 + 1. assign V699857 = V633137 - 1. assign V053174 = V926087 + 1. assign V008325 = V633137 - 1. assign V647893 = V195844. assign V863108 = V407127 - 1. assign V633137 = V737747 + 1. assign V335961 = V294118 - 1. assign V526111 = V617110 - 1. assign V014793 = V780226. assign V533012 = V005400. assign V648252 = V039331. assign V413509 = V335961 + 1. assign V312575 = V700044. assign V004075 = V334757. assign V830287 = V539873. assign V876910 = V700044. assign V236410 = V482088. assign V002581 = V811285 + 1. assign V916882 = V145979 + 1. assign V436524 = V617110 + 1. assign V171252 = V552034 - 1. assign V706368 = V053174. assign V552182 = V306122 + 1. assign V483569 = V195844 - 1. assign V964112 = V498047 - 1. assign V498047 = V472266. assign V398431 = V607765. assign V953912 = V086241. assign V610369 = V196018 + 1. assign V117731 = V207912 + 1. assign V129071 = V210742 - 1. assign V148641 = V196018. assign V035388 = V479289 + 1. assign V116241 = V236410 - 1. assign V153090 = V923515 - 1. assign V576873 = V737747 - 1. assign V362146 = V035388. assign V369526 = V494379 + 1. assign V558785 = V957486 - 1. assign V472266 = V086241 + 1. assign V544943 = V737747. assign V877981 = V039331. assign V704609 = V617110 + 1. assign V923515 = V171252. assign V482088 = V483569 - 1. assign V930916 = V742337. assign V053542 = 7. assign V153343 = V610369. assign V196018 = V117731 + 1. assign V086241 = V195844 + 1. assign V886968 = V123341. assign V133854 = V482088. assign V207912 = V195844 - 1. assign V168345 = V811285 + 1. assign V193051 = V895050 + 1. assign V621153 = V407127 - 1. assign V737747 = V986676. assign V771827 = V145241 - 1. assign V124806 = V647893 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV053542 = 7;\n\nFrom these direct assignment(s), we have: \nV372891 = V053542 = 7;\nNo other variables can be derived from V372891;\nNo other variables can be derived from V053542;\n\nNow we have done all the calculations. Derived variables are:\nV053542 = 7;\nV372891 = 7;\n\nNow we have finished this problem. ANSWER:\nV053542, V372891\n", "role": "assistant" } ]

[ "V925021", "V957590" ]

[ { "content": "<context>\nassign V332899 = V799696 + 1. assign V648497 = V112063 - 1. assign V351679 = V884397. assign V962194 = V630528 + 1. assign V466703 = V041121 + 1. assign V697919 = V145158 + 1. assign V540836 = V938042. assign V177940 = V272813. assign V443008 = V839765. assign V606225 = V516982. assign V098407 = V822977 - 1. assign V870071 = V947778. assign V839728 = V750239 + 1. assign V516982 = V644470. assign V400670 = V870188 - 1. assign V307916 = V315949 + 1. assign V047548 = V576753 - 1. assign V989213 = V458536. assign V712990 = V183242. assign V673035 = V160766 + 1. assign V925021 = 9. assign V730925 = V160766 + 1. assign V394670 = V001611 + 1. assign V188624 = V223939. assign V643745 = V164896 + 1. assign V872557 = V570239 + 1. assign V775383 = V884397 - 1. assign V577492 = V711515 + 1. assign V235259 = V650231 + 1. assign V727115 = V231642. assign V079907 = V725925 + 1. assign V023761 = V576753 + 1. assign V263178 = V715920 - 1. assign V034002 = V648497. assign V041121 = V248058. assign V209848 = V570239 - 1. assign V569419 = V844169 + 1. assign V496958 = V332899. assign V789247 = V287022 + 1. assign V481121 = V997238. assign V053094 = V103029 - 1. assign V799696 = V230018 + 1. assign V424058 = V982387 - 1. assign V115087 = V648497 - 1. assign V233410 = V103029. assign V380076 = V272813 - 1. assign V630528 = V263178 + 1. assign V901460 = V786147 - 1. assign V033657 = V577492 + 1. assign V183242 = V576753 - 1. assign V711515 = V811028 + 1. assign V937848 = V183242 + 1. assign V059737 = V570239 + 1. assign V519926 = V459402 - 1. assign V644470 = V910931 - 1. assign V459402 = V650231. assign V838903 = V725925 + 1. assign V225812 = V516982. assign V979076 = V648497. assign V884536 = V442458 + 1. assign V193089 = V251101 - 1. assign V349045 = V458536 - 1. assign V938563 = V712990 - 1. assign V231642 = V103029. assign V837857 = V979076 + 1. assign V412789 = V115087 + 1. assign V605372 = V901460 + 1. assign V957590 = V925021. assign V750239 = V775383 + 1. assign V164846 = V838903 + 1. assign V586259 = V509252 - 1. assign V480822 = V251101 - 1. assign V587456 = V644470 - 1. assign V910931 = V884397. assign V801603 = V825466 - 1. assign V870188 = V043171 - 1. assign V811028 = V160766. assign V287022 = V223939 + 1. assign V509252 = V884397 + 1. assign V992030 = V775383. assign V104815 = V982387 - 1. assign V145158 = V884397 + 1. assign V347873 = V225812 + 1. assign V043171 = V854512 + 1. assign V607128 = V351679 - 1. assign V001611 = V715920. assign V982387 = V160766 + 1. assign V110894 = V673035 + 1. assign V854512 = V103029 - 1. assign V112702 = V750239 - 1. assign V235694 = V811028 - 1. assign V346398 = V775383 - 1. assign V786147 = V644470. assign V687126 = V248058 - 1. assign V977900 = V001611 - 1. assign V650231 = V231642. assign V230018 = V775383 + 1. assign V104850 = V347873. assign V248058 = V496958 - 1. assign V164896 = V997238 - 1. assign V160460 = V160766. assign V930749 = V570239 + 1. assign V126096 = V367025. assign V027514 = V711515 - 1. assign V251101 = V673035 + 1. assign V272813 = V315949. assign V367025 = V160460 + 1. assign V570239 = V346398 + 1. assign V176251 = V650231. assign V647369 = V496958 - 1. assign V400914 = V076394 + 1. assign V298137 = V380076. assign V442458 = V307916. assign V041115 = V587456 - 1. assign V259680 = V442458 - 1. assign V954686 = V766775. assign V103029 = V910931. assign V674956 = V884160 + 1. assign V947778 = V540836. assign V938042 = V884397 + 1. assign V825466 = V367025 + 1. assign V693205 = V711515 + 1. assign V476364 = V540836. assign V444071 = V587456 - 1. assign V295887 = V112063 - 1. assign V839765 = V332899 - 1. assign V449673 = V884397 + 1. assign V725925 = V251101. assign V703093 = V223939. assign V548301 = V801603 + 1. assign V458536 = V799696 + 1. assign V130310 = V442458 + 1. assign V451498 = V231642 + 1. assign V715920 = V997238. assign V363968 = V509252 - 1. assign V417193 = V693205 + 1. assign V576753 = V033740. assign V371096 = V272813 - 1. assign V565403 = V644470 - 1. assign V614954 = V177940 - 1. assign V160766 = V766775 - 1. assign V822977 = V775383. assign V169448 = V272813 + 1. assign V440995 = V673035 + 1. assign V656932 = V233410 + 1. assign V534587 = V225812 + 1. assign V766775 = V884397 - 1. assign V551767 = V711515 - 1. assign V076394 = V231642. assign V125737 = V145158. assign V081114 = V913343 - 1. assign V454677 = V295887 - 1. assign V844169 = V475075 - 1. assign V112063 = V332899. assign V884160 = V351679 - 1. assign V139594 = V110894. assign V844603 = V870188 + 1. assign V997238 = V884397. assign V143012 = V351679 - 1. assign V949614 = V839728 + 1. assign V781861 = V607128. assign V755309 = V799696. assign V223939 = V938042 + 1. assign V998679 = V440995 + 1. assign V033740 = V516982. assign V709047 = V177940 - 1. assign V522520 = V755309 + 1. assign V507975 = V221074 - 1. assign V315949 = V992030 + 1. assign V913343 = V160766 - 1. assign V475075 = V854512. assign V221074 = V979076 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V332899 = V799696 + 1. assign V648497 = V112063 - 1. assign V351679 = V884397. assign V962194 = V630528 + 1. assign V466703 = V041121 + 1. assign V697919 = V145158 + 1. assign V540836 = V938042. assign V177940 = V272813. assign V443008 = V839765. assign V606225 = V516982. assign V098407 = V822977 - 1. assign V870071 = V947778. assign V839728 = V750239 + 1. assign V516982 = V644470. assign V400670 = V870188 - 1. assign V307916 = V315949 + 1. assign V047548 = V576753 - 1. assign V989213 = V458536. assign V712990 = V183242. assign V673035 = V160766 + 1. assign V925021 = 9. assign V730925 = V160766 + 1. assign V394670 = V001611 + 1. assign V188624 = V223939. assign V643745 = V164896 + 1. assign V872557 = V570239 + 1. assign V775383 = V884397 - 1. assign V577492 = V711515 + 1. assign V235259 = V650231 + 1. assign V727115 = V231642. assign V079907 = V725925 + 1. assign V023761 = V576753 + 1. assign V263178 = V715920 - 1. assign V034002 = V648497. assign V041121 = V248058. assign V209848 = V570239 - 1. assign V569419 = V844169 + 1. assign V496958 = V332899. assign V789247 = V287022 + 1. assign V481121 = V997238. assign V053094 = V103029 - 1. assign V799696 = V230018 + 1. assign V424058 = V982387 - 1. assign V115087 = V648497 - 1. assign V233410 = V103029. assign V380076 = V272813 - 1. assign V630528 = V263178 + 1. assign V901460 = V786147 - 1. assign V033657 = V577492 + 1. assign V183242 = V576753 - 1. assign V711515 = V811028 + 1. assign V937848 = V183242 + 1. assign V059737 = V570239 + 1. assign V519926 = V459402 - 1. assign V644470 = V910931 - 1. assign V459402 = V650231. assign V838903 = V725925 + 1. assign V225812 = V516982. assign V979076 = V648497. assign V884536 = V442458 + 1. assign V193089 = V251101 - 1. assign V349045 = V458536 - 1. assign V938563 = V712990 - 1. assign V231642 = V103029. assign V837857 = V979076 + 1. assign V412789 = V115087 + 1. assign V605372 = V901460 + 1. assign V957590 = V925021. assign V750239 = V775383 + 1. assign V164846 = V838903 + 1. assign V586259 = V509252 - 1. assign V480822 = V251101 - 1. assign V587456 = V644470 - 1. assign V910931 = V884397. assign V801603 = V825466 - 1. assign V870188 = V043171 - 1. assign V811028 = V160766. assign V287022 = V223939 + 1. assign V509252 = V884397 + 1. assign V992030 = V775383. assign V104815 = V982387 - 1. assign V145158 = V884397 + 1. assign V347873 = V225812 + 1. assign V043171 = V854512 + 1. assign V607128 = V351679 - 1. assign V001611 = V715920. assign V982387 = V160766 + 1. assign V110894 = V673035 + 1. assign V854512 = V103029 - 1. assign V112702 = V750239 - 1. assign V235694 = V811028 - 1. assign V346398 = V775383 - 1. assign V786147 = V644470. assign V687126 = V248058 - 1. assign V977900 = V001611 - 1. assign V650231 = V231642. assign V230018 = V775383 + 1. assign V104850 = V347873. assign V248058 = V496958 - 1. assign V164896 = V997238 - 1. assign V160460 = V160766. assign V930749 = V570239 + 1. assign V126096 = V367025. assign V027514 = V711515 - 1. assign V251101 = V673035 + 1. assign V272813 = V315949. assign V367025 = V160460 + 1. assign V570239 = V346398 + 1. assign V176251 = V650231. assign V647369 = V496958 - 1. assign V400914 = V076394 + 1. assign V298137 = V380076. assign V442458 = V307916. assign V041115 = V587456 - 1. assign V259680 = V442458 - 1. assign V954686 = V766775. assign V103029 = V910931. assign V674956 = V884160 + 1. assign V947778 = V540836. assign V938042 = V884397 + 1. assign V825466 = V367025 + 1. assign V693205 = V711515 + 1. assign V476364 = V540836. assign V444071 = V587456 - 1. assign V295887 = V112063 - 1. assign V839765 = V332899 - 1. assign V449673 = V884397 + 1. assign V725925 = V251101. assign V703093 = V223939. assign V548301 = V801603 + 1. assign V458536 = V799696 + 1. assign V130310 = V442458 + 1. assign V451498 = V231642 + 1. assign V715920 = V997238. assign V363968 = V509252 - 1. assign V417193 = V693205 + 1. assign V576753 = V033740. assign V371096 = V272813 - 1. assign V565403 = V644470 - 1. assign V614954 = V177940 - 1. assign V160766 = V766775 - 1. assign V822977 = V775383. assign V169448 = V272813 + 1. assign V440995 = V673035 + 1. assign V656932 = V233410 + 1. assign V534587 = V225812 + 1. assign V766775 = V884397 - 1. assign V551767 = V711515 - 1. assign V076394 = V231642. assign V125737 = V145158. assign V081114 = V913343 - 1. assign V454677 = V295887 - 1. assign V844169 = V475075 - 1. assign V112063 = V332899. assign V884160 = V351679 - 1. assign V139594 = V110894. assign V844603 = V870188 + 1. assign V997238 = V884397. assign V143012 = V351679 - 1. assign V949614 = V839728 + 1. assign V781861 = V607128. assign V755309 = V799696. assign V223939 = V938042 + 1. assign V998679 = V440995 + 1. assign V033740 = V516982. assign V709047 = V177940 - 1. assign V522520 = V755309 + 1. assign V507975 = V221074 - 1. assign V315949 = V992030 + 1. assign V913343 = V160766 - 1. assign V475075 = V854512. assign V221074 = V979076 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV925021 = 9;\n\nFrom these direct assignment(s), we have: \nV957590 = V925021 = 9;\nNo other variables can be derived from V957590;\nNo other variables can be derived from V925021;\n\nNow we have done all the calculations. Derived variables are:\nV925021 = 9;\nV957590 = 9;\n\nNow we have finished this problem. ANSWER:\nV925021, V957590\n", "role": "assistant" } ]

[ "V279893" ]

[ { "content": "<context>\nassign V026828 = V614433. assign V769133 = V785212. assign V399177 = V113903 - 1. assign V351091 = V431111 - 1. assign V263244 = V238309 + 1. assign V359729 = V513839. assign V732670 = V367528 + 1. assign V561074 = V205561 + 1. assign V489648 = V629553. assign V295132 = V886326 - 1. assign V139472 = V001399. assign V497578 = V833419 - 1. assign V239606 = V732670 + 1. assign V279893 = V914591 - 1. assign V812709 = V367528. assign V461536 = V055730 - 1. assign V816964 = V139472 + 1. assign V614465 = V696743. assign V160731 = V351091 - 1. assign V437146 = V863709. assign V937104 = V121661 + 1. assign V918623 = V051241 - 1. assign V569624 = V303282 + 1. assign V622585 = V670514. assign V389262 = V239606. assign V234586 = V886326 - 1. assign V875769 = V209826 - 1. assign V568307 = V595035 + 1. assign V886326 = V359729 - 1. assign V632832 = V886326 + 1. assign V468957 = V437146. assign V550536 = V823868 - 1. assign V152195 = V543832 + 1. assign V593471 = V497578 - 1. assign V720322 = V152195 + 1. assign V596283 = V260840 - 1. assign V588359 = V593471 - 1. assign V907911 = V615810 - 1. assign V129226 = V351091 + 1. assign V266423 = V937104. assign V120701 = V367528. assign V408442 = V875769 + 1. assign V996012 = V478036 + 1. assign V901095 = V916372 - 1. assign V627120 = V795406 + 1. assign V638860 = V436821. assign V349832 = V807593 - 1. assign V280423 = V369155 - 1. assign V363335 = V478036. assign V849762 = V699100. assign V733447 = V152195 - 1. assign V874804 = V371864. assign V455291 = V456854. assign V431111 = V437146 + 1. assign V994378 = V816964 - 1. assign V543832 = V055730 - 1. assign V229727 = V795406 + 1. assign V508042 = V513839 - 1. assign V258503 = V431111 - 1. assign V823868 = V295132 - 1. assign V378930 = V139472 + 1. assign V837869 = V728907. assign V171553 = V699100 - 1. assign V436821 = V946430 + 1. assign V080830 = V629553. assign V712433 = V623778 + 1. assign V612620 = V171553 + 1. assign V648667 = V833419 + 1. assign V513839 = V833419. assign V809072 = V632832 + 1. assign V916372 = V420184 + 1. assign V161017 = V621589 + 1. assign V785212 = V728907 - 1. assign V260544 = V513839 + 1. assign V976257 = V894317. assign V726478 = V837869 + 1. assign V345181 = V226927 + 1. assign V367528 = V649122. assign V303282 = V649122 - 1. assign V696743 = V990930. assign V540018 = V513839 + 1. assign V699100 = V113903 - 1. assign V238309 = V476146 + 1. assign V591236 = V367528. assign V490003 = V612869 - 1. assign V664680 = V113903. assign V121661 = V785212 + 1. assign V529793 = V490003 - 1. assign V371192 = V638860 - 1. assign V164620 = V712433 - 1. assign V192920 = V649122. assign V990930 = V849762 - 1. assign V226927 = V230858 - 1. assign V309611 = V359729. assign V795406 = V700913 - 1. assign V361735 = V478036 + 1. assign V894317 = V916372. assign V000637 = V836054 + 1. assign V456854 = V952418. assign V562635 = V569624 + 1. assign V131708 = V461536 - 1. assign V614433 = V303282. assign V946430 = V833419 + 1. assign V615810 = V833419 + 1. assign V992420 = V141584. assign V629553 = V476146 + 1. assign V649048 = V648667 - 1. assign V672631 = V623778 + 1. assign V230858 = V807943 + 1. assign V222640 = V161017 - 1. assign V420184 = V055730 + 1. assign V863709 = V615810. assign V649122 = V627120 + 1. assign V700913 = V543832 - 1. assign V116698 = V807943. assign V045800 = V164620 - 1. assign V623778 = V513839. assign V483200 = V670514 + 1. assign V781468 = V700913 - 1. assign V019268 = V596283 - 1. assign V371864 = V051241 - 1. assign V141584 = V629553 - 1. assign V155280 = V781468 - 1. assign V952418 = V946430. assign V002589 = V436821 - 1. assign V277477 = V367528 - 1. assign V367345 = V637572 - 1. assign V745898 = V996012 - 1. assign V674014 = V020166 - 1. assign V843716 = V359729. assign V463640 = V649122. assign V766052 = V615522. assign V430347 = V001399 - 1. assign V051241 = V209225 + 1. assign V209826 = V363335 + 1. assign V621589 = V907911. assign V200363 = V712433 - 1. assign V201989 = V807943. assign V113903 = V478036 - 1. assign V939837 = V201989. assign V034855 = V812709. assign V205561 = V497578 - 1. assign V637572 = V420184 + 1. assign V903648 = V399177. assign V042315 = V596283. assign V055730 = V807593. assign V836054 = V155280 + 1. assign V807593 = V476146 - 1. assign V781402 = V849762 - 1. assign V196598 = V637572 - 1. assign V260840 = V437146. assign V369155 = V937104. assign V479915 = V901095 - 1. assign V595035 = V649122 + 1. assign V728907 = V201989. assign V431854 = V226927 - 1. assign V833419 = V807593 + 1. assign V670514 = V543832. assign V914591 = 1. assign V807943 = V807593. assign V115407 = V615522 - 1. assign V020166 = V001399 - 1. assign V612869 = V833419 + 1. assign V589920 = V222640 - 1. assign V615522 = V359729 - 1. assign V209225 = V420184. assign V526913 = V116698 + 1. assign V357792 = V543832 - 1. assign V001399 = V055730 + 1. assign V478036 = V837869 - 1. assign V397012 = V357792 + 1. assign V965072 = V026828 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V026828 = V614433. assign V769133 = V785212. assign V399177 = V113903 - 1. assign V351091 = V431111 - 1. assign V263244 = V238309 + 1. assign V359729 = V513839. assign V732670 = V367528 + 1. assign V561074 = V205561 + 1. assign V489648 = V629553. assign V295132 = V886326 - 1. assign V139472 = V001399. assign V497578 = V833419 - 1. assign V239606 = V732670 + 1. assign V279893 = V914591 - 1. assign V812709 = V367528. assign V461536 = V055730 - 1. assign V816964 = V139472 + 1. assign V614465 = V696743. assign V160731 = V351091 - 1. assign V437146 = V863709. assign V937104 = V121661 + 1. assign V918623 = V051241 - 1. assign V569624 = V303282 + 1. assign V622585 = V670514. assign V389262 = V239606. assign V234586 = V886326 - 1. assign V875769 = V209826 - 1. assign V568307 = V595035 + 1. assign V886326 = V359729 - 1. assign V632832 = V886326 + 1. assign V468957 = V437146. assign V550536 = V823868 - 1. assign V152195 = V543832 + 1. assign V593471 = V497578 - 1. assign V720322 = V152195 + 1. assign V596283 = V260840 - 1. assign V588359 = V593471 - 1. assign V907911 = V615810 - 1. assign V129226 = V351091 + 1. assign V266423 = V937104. assign V120701 = V367528. assign V408442 = V875769 + 1. assign V996012 = V478036 + 1. assign V901095 = V916372 - 1. assign V627120 = V795406 + 1. assign V638860 = V436821. assign V349832 = V807593 - 1. assign V280423 = V369155 - 1. assign V363335 = V478036. assign V849762 = V699100. assign V733447 = V152195 - 1. assign V874804 = V371864. assign V455291 = V456854. assign V431111 = V437146 + 1. assign V994378 = V816964 - 1. assign V543832 = V055730 - 1. assign V229727 = V795406 + 1. assign V508042 = V513839 - 1. assign V258503 = V431111 - 1. assign V823868 = V295132 - 1. assign V378930 = V139472 + 1. assign V837869 = V728907. assign V171553 = V699100 - 1. assign V436821 = V946430 + 1. assign V080830 = V629553. assign V712433 = V623778 + 1. assign V612620 = V171553 + 1. assign V648667 = V833419 + 1. assign V513839 = V833419. assign V809072 = V632832 + 1. assign V916372 = V420184 + 1. assign V161017 = V621589 + 1. assign V785212 = V728907 - 1. assign V260544 = V513839 + 1. assign V976257 = V894317. assign V726478 = V837869 + 1. assign V345181 = V226927 + 1. assign V367528 = V649122. assign V303282 = V649122 - 1. assign V696743 = V990930. assign V540018 = V513839 + 1. assign V699100 = V113903 - 1. assign V238309 = V476146 + 1. assign V591236 = V367528. assign V490003 = V612869 - 1. assign V664680 = V113903. assign V121661 = V785212 + 1. assign V529793 = V490003 - 1. assign V371192 = V638860 - 1. assign V164620 = V712433 - 1. assign V192920 = V649122. assign V990930 = V849762 - 1. assign V226927 = V230858 - 1. assign V309611 = V359729. assign V795406 = V700913 - 1. assign V361735 = V478036 + 1. assign V894317 = V916372. assign V000637 = V836054 + 1. assign V456854 = V952418. assign V562635 = V569624 + 1. assign V131708 = V461536 - 1. assign V614433 = V303282. assign V946430 = V833419 + 1. assign V615810 = V833419 + 1. assign V992420 = V141584. assign V629553 = V476146 + 1. assign V649048 = V648667 - 1. assign V672631 = V623778 + 1. assign V230858 = V807943 + 1. assign V222640 = V161017 - 1. assign V420184 = V055730 + 1. assign V863709 = V615810. assign V649122 = V627120 + 1. assign V700913 = V543832 - 1. assign V116698 = V807943. assign V045800 = V164620 - 1. assign V623778 = V513839. assign V483200 = V670514 + 1. assign V781468 = V700913 - 1. assign V019268 = V596283 - 1. assign V371864 = V051241 - 1. assign V141584 = V629553 - 1. assign V155280 = V781468 - 1. assign V952418 = V946430. assign V002589 = V436821 - 1. assign V277477 = V367528 - 1. assign V367345 = V637572 - 1. assign V745898 = V996012 - 1. assign V674014 = V020166 - 1. assign V843716 = V359729. assign V463640 = V649122. assign V766052 = V615522. assign V430347 = V001399 - 1. assign V051241 = V209225 + 1. assign V209826 = V363335 + 1. assign V621589 = V907911. assign V200363 = V712433 - 1. assign V201989 = V807943. assign V113903 = V478036 - 1. assign V939837 = V201989. assign V034855 = V812709. assign V205561 = V497578 - 1. assign V637572 = V420184 + 1. assign V903648 = V399177. assign V042315 = V596283. assign V055730 = V807593. assign V836054 = V155280 + 1. assign V807593 = V476146 - 1. assign V781402 = V849762 - 1. assign V196598 = V637572 - 1. assign V260840 = V437146. assign V369155 = V937104. assign V479915 = V901095 - 1. assign V595035 = V649122 + 1. assign V728907 = V201989. assign V431854 = V226927 - 1. assign V833419 = V807593 + 1. assign V670514 = V543832. assign V914591 = 1. assign V807943 = V807593. assign V115407 = V615522 - 1. assign V020166 = V001399 - 1. assign V612869 = V833419 + 1. assign V589920 = V222640 - 1. assign V615522 = V359729 - 1. assign V209225 = V420184. assign V526913 = V116698 + 1. assign V357792 = V543832 - 1. assign V001399 = V055730 + 1. assign V478036 = V837869 - 1. assign V397012 = V357792 + 1. assign V965072 = V026828 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV914591 = 1;\n\nFrom these direct assignment(s), we have: \nV279893 = V914591 - 1 = 1 - 1 =0;\nNo other variables can be derived from V279893;\nNo other variables can be derived from V914591;\n\nNow we have done all the calculations. Derived variables are:\nV914591 = 1;\nV279893 = 0;\n\nNow we have finished this problem. ANSWER:\nV279893\n", "role": "assistant" } ]

[ "V932234", "V824096" ]

[ { "content": "<context>\nassign V275633 = V090699. assign V181862 = V452188 - 1. assign V990914 = V235317 + 1. assign V706576 = V066179 + 1. assign V666174 = V806844 - 1. assign V190385 = V904096 + 1. assign V235317 = V294367 - 1. assign V066179 = V449747 - 1. assign V578265 = V765388. assign V987389 = V207122 + 1. assign V913286 = V452188. assign V536662 = V148085 + 1. assign V655526 = V776168 + 1. assign V294367 = V009028 + 1. assign V894455 = V381142. assign V129006 = V066179 - 1. assign V166467 = V746048. assign V714089 = V048140 - 1. assign V345153 = V277278 - 1. assign V226190 = V373490. assign V919291 = V226190 - 1. assign V153431 = V951102 - 1. assign V904205 = V988067 + 1. assign V940468 = V669718. assign V277238 = V345153. assign V069318 = V443727 + 1. assign V996337 = V275849 - 1. assign V448951 = V413652. assign V048140 = V806844. assign V274794 = V452188 + 1. assign V496713 = V518820. assign V053804 = V693068 + 1. assign V635005 = V765388 + 1. assign V775224 = V869085. assign V483266 = V345153 - 1. assign V009028 = V539980 - 1. assign V629046 = V868133 - 1. assign V451578 = V776168 + 1. assign V537881 = V478998. assign V685386 = V445480. assign V166590 = V067227 + 1. assign V901999 = V289877 - 1. assign V499811 = V949928. assign V765388 = V604857. assign V669718 = V129006 + 1. assign V310632 = V449747 - 1. assign V277288 = V872233 + 1. assign V518820 = V835286 + 1. assign V112685 = V666323 - 1. assign V776168 = V494669 - 1. assign V868133 = V578531. assign V491727 = V924844 + 1. assign V090699 = V153431 - 1. assign V309204 = V629046 + 1. assign V191035 = V309204 - 1. assign V988067 = V289877 + 1. assign V746048 = V539980. assign V202045 = V345153 + 1. assign V328388 = V973566 - 1. assign V548660 = V868133 - 1. assign V381142 = V685386 - 1. assign V604857 = V277278 + 1. assign V497576 = V449747 - 1. assign V808834 = V499811. assign V478998 = V817596. assign V494669 = V806844. assign V539284 = V289877. assign V764306 = V181862 - 1. assign V102985 = V413652 - 1. assign V360114 = V693068. assign V413306 = V872233. assign V309126 = V996337 - 1. assign V796329 = V988067 + 1. assign V984211 = V685386 + 1. assign V823037 = V913286. assign V869085 = V868133. assign V973566 = V913286 + 1. assign V539980 = V277278. assign V442338 = V629046 - 1. assign V649998 = V465977 - 1. assign V832910 = V850353 + 1. assign V968329 = V826320. assign V578345 = V506638 + 1. assign V951102 = V911761 + 1. assign V844295 = V449747 - 1. assign V932234 = 2. assign V150801 = V170495 + 1. assign V835286 = V850353 - 1. assign V817596 = V449747 - 1. assign V826320 = V706576. assign V175388 = V310632 - 1. assign V373490 = V233087 - 1. assign V778799 = V310632 + 1. assign V313571 = V901999. assign V445480 = V277278. assign V289877 = V817596 - 1. assign V443727 = V868133. assign V963931 = V990914 - 1. assign V653706 = V775224 + 1. assign V449747 = V806844 - 1. assign V506638 = V775224 + 1. assign V432473 = V277278 + 1. assign V601415 = V438995. assign V148085 = V360114 + 1. assign V601928 = V979567. assign V036932 = V655526 - 1. assign V207122 = V384347. assign V134945 = V604857. assign V123298 = V207122 - 1. assign V452188 = V693068 - 1. assign V559048 = V069318 + 1. assign V531281 = V301506. assign V064962 = V904096 + 1. assign V676685 = V153431 + 1. assign V413652 = V765388 + 1. assign V136937 = V913286 - 1. assign V949928 = V817596 - 1. assign V866206 = V478998 - 1. assign V213718 = V233087 + 1. assign V621753 = V988067 - 1. assign V294758 = V850353 - 1. assign V329592 = V443727 - 1. assign V861148 = V817596 + 1. assign V170495 = V449747 + 1. assign V168374 = V832910. assign V233087 = V432473 - 1. assign V578531 = V913286 + 1. assign V824096 = V932234. assign V384347 = V913286 + 1. assign V181886 = V448951 + 1. assign V028884 = V415857 - 1. assign V850353 = V913286 + 1. assign V223481 = V979567 + 1. assign V693068 = V277278. assign V562625 = V526613 - 1. assign V275680 = V048140 - 1. assign V595600 = V894455. assign V953142 = V844295. assign V911761 = V301506 + 1. assign V067227 = V452188. assign V666323 = V776168. assign V638108 = V765388. assign V275849 = V531281. assign V049506 = V277238 + 1. assign V465977 = V048140 + 1. assign V301963 = V301506 + 1. assign V717547 = V233087 - 1. assign V526613 = V901999 - 1. assign V806844 = V301506. assign V177215 = V951102 - 1. assign V979567 = V445480 + 1. assign V904096 = V868133 + 1. assign V769819 = V988067 + 1. assign V438995 = V604857. assign V700530 = V301963 - 1. assign V105273 = V911761 - 1. assign V606683 = V148085 - 1. assign V800420 = V452188. assign V114121 = V384347. assign V301506 = V009028 + 1. assign V924844 = V913286. assign V872233 = V800420. assign V311848 = V148085 + 1. assign V340489 = V629046. assign V225105 = V924844 - 1. assign V395059 = V301506 + 1. assign V447464 = V277278 + 1. assign V048896 = V951102. assign V187252 = V765388 - 1. assign V910201 = V432473 - 1. assign V474875 = V872233 + 1. assign V415857 = V951102 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V275633 = V090699. assign V181862 = V452188 - 1. assign V990914 = V235317 + 1. assign V706576 = V066179 + 1. assign V666174 = V806844 - 1. assign V190385 = V904096 + 1. assign V235317 = V294367 - 1. assign V066179 = V449747 - 1. assign V578265 = V765388. assign V987389 = V207122 + 1. assign V913286 = V452188. assign V536662 = V148085 + 1. assign V655526 = V776168 + 1. assign V294367 = V009028 + 1. assign V894455 = V381142. assign V129006 = V066179 - 1. assign V166467 = V746048. assign V714089 = V048140 - 1. assign V345153 = V277278 - 1. assign V226190 = V373490. assign V919291 = V226190 - 1. assign V153431 = V951102 - 1. assign V904205 = V988067 + 1. assign V940468 = V669718. assign V277238 = V345153. assign V069318 = V443727 + 1. assign V996337 = V275849 - 1. assign V448951 = V413652. assign V048140 = V806844. assign V274794 = V452188 + 1. assign V496713 = V518820. assign V053804 = V693068 + 1. assign V635005 = V765388 + 1. assign V775224 = V869085. assign V483266 = V345153 - 1. assign V009028 = V539980 - 1. assign V629046 = V868133 - 1. assign V451578 = V776168 + 1. assign V537881 = V478998. assign V685386 = V445480. assign V166590 = V067227 + 1. assign V901999 = V289877 - 1. assign V499811 = V949928. assign V765388 = V604857. assign V669718 = V129006 + 1. assign V310632 = V449747 - 1. assign V277288 = V872233 + 1. assign V518820 = V835286 + 1. assign V112685 = V666323 - 1. assign V776168 = V494669 - 1. assign V868133 = V578531. assign V491727 = V924844 + 1. assign V090699 = V153431 - 1. assign V309204 = V629046 + 1. assign V191035 = V309204 - 1. assign V988067 = V289877 + 1. assign V746048 = V539980. assign V202045 = V345153 + 1. assign V328388 = V973566 - 1. assign V548660 = V868133 - 1. assign V381142 = V685386 - 1. assign V604857 = V277278 + 1. assign V497576 = V449747 - 1. assign V808834 = V499811. assign V478998 = V817596. assign V494669 = V806844. assign V539284 = V289877. assign V764306 = V181862 - 1. assign V102985 = V413652 - 1. assign V360114 = V693068. assign V413306 = V872233. assign V309126 = V996337 - 1. assign V796329 = V988067 + 1. assign V984211 = V685386 + 1. assign V823037 = V913286. assign V869085 = V868133. assign V973566 = V913286 + 1. assign V539980 = V277278. assign V442338 = V629046 - 1. assign V649998 = V465977 - 1. assign V832910 = V850353 + 1. assign V968329 = V826320. assign V578345 = V506638 + 1. assign V951102 = V911761 + 1. assign V844295 = V449747 - 1. assign V932234 = 2. assign V150801 = V170495 + 1. assign V835286 = V850353 - 1. assign V817596 = V449747 - 1. assign V826320 = V706576. assign V175388 = V310632 - 1. assign V373490 = V233087 - 1. assign V778799 = V310632 + 1. assign V313571 = V901999. assign V445480 = V277278. assign V289877 = V817596 - 1. assign V443727 = V868133. assign V963931 = V990914 - 1. assign V653706 = V775224 + 1. assign V449747 = V806844 - 1. assign V506638 = V775224 + 1. assign V432473 = V277278 + 1. assign V601415 = V438995. assign V148085 = V360114 + 1. assign V601928 = V979567. assign V036932 = V655526 - 1. assign V207122 = V384347. assign V134945 = V604857. assign V123298 = V207122 - 1. assign V452188 = V693068 - 1. assign V559048 = V069318 + 1. assign V531281 = V301506. assign V064962 = V904096 + 1. assign V676685 = V153431 + 1. assign V413652 = V765388 + 1. assign V136937 = V913286 - 1. assign V949928 = V817596 - 1. assign V866206 = V478998 - 1. assign V213718 = V233087 + 1. assign V621753 = V988067 - 1. assign V294758 = V850353 - 1. assign V329592 = V443727 - 1. assign V861148 = V817596 + 1. assign V170495 = V449747 + 1. assign V168374 = V832910. assign V233087 = V432473 - 1. assign V578531 = V913286 + 1. assign V824096 = V932234. assign V384347 = V913286 + 1. assign V181886 = V448951 + 1. assign V028884 = V415857 - 1. assign V850353 = V913286 + 1. assign V223481 = V979567 + 1. assign V693068 = V277278. assign V562625 = V526613 - 1. assign V275680 = V048140 - 1. assign V595600 = V894455. assign V953142 = V844295. assign V911761 = V301506 + 1. assign V067227 = V452188. assign V666323 = V776168. assign V638108 = V765388. assign V275849 = V531281. assign V049506 = V277238 + 1. assign V465977 = V048140 + 1. assign V301963 = V301506 + 1. assign V717547 = V233087 - 1. assign V526613 = V901999 - 1. assign V806844 = V301506. assign V177215 = V951102 - 1. assign V979567 = V445480 + 1. assign V904096 = V868133 + 1. assign V769819 = V988067 + 1. assign V438995 = V604857. assign V700530 = V301963 - 1. assign V105273 = V911761 - 1. assign V606683 = V148085 - 1. assign V800420 = V452188. assign V114121 = V384347. assign V301506 = V009028 + 1. assign V924844 = V913286. assign V872233 = V800420. assign V311848 = V148085 + 1. assign V340489 = V629046. assign V225105 = V924844 - 1. assign V395059 = V301506 + 1. assign V447464 = V277278 + 1. assign V048896 = V951102. assign V187252 = V765388 - 1. assign V910201 = V432473 - 1. assign V474875 = V872233 + 1. assign V415857 = V951102 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV932234 = 2;\n\nFrom these direct assignment(s), we have: \nV824096 = V932234 = 2;\nNo other variables can be derived from V824096;\nNo other variables can be derived from V932234;\n\nNow we have done all the calculations. Derived variables are:\nV932234 = 2;\nV824096 = 2;\n\nNow we have finished this problem. ANSWER:\nV932234, V824096\n", "role": "assistant" } ]

[ "V782121" ]

[ { "content": "<context>\nassign V187872 = V554222 + 1. assign V887801 = V117949. assign V619951 = V101422 - 1. assign V505720 = V687368 - 1. assign V297751 = V619951. assign V411455 = V219402 + 1. assign V701697 = V777363 + 1. assign V245043 = V960407 + 1. assign V504604 = V342736 + 1. assign V401733 = V433154 - 1. assign V886734 = V152429 - 1. assign V747846 = V350526 + 1. assign V421596 = V007053. assign V688990 = V968141 - 1. assign V054836 = V727045 + 1. assign V408730 = V411455 - 1. assign V225354 = V846015. assign V733022 = V618545 - 1. assign V339751 = V805256 - 1. assign V198782 = V960407 + 1. assign V393644 = V604959 + 1. assign V633673 = V918318 - 1. assign V805256 = V618545. assign V163690 = V806527. assign V888681 = V457723 - 1. assign V632326 = V902379 - 1. assign V316861 = V821950 + 1. assign V281166 = V904874 - 1. assign V086679 = V918318 - 1. assign V321862 = V633673 - 1. assign V817127 = V347413 + 1. assign V302258 = V551293. assign V343148 = V057262 - 1. assign V036213 = V171958 - 1. assign V135443 = V117949 + 1. assign V875887 = V573281 - 1. assign V908593 = V101422. assign V604959 = V727045 - 1. assign V037719 = V339751 - 1. assign V968141 = V647891 + 1. assign V940404 = V134187 + 1. assign V668987 = V101422. assign V786580 = V727045 - 1. assign V367062 = V497993 + 1. assign V243892 = V632326 - 1. assign V482855 = V714882 + 1. assign V160140 = V449471. assign V101422 = V152429. assign V456303 = V135443. assign V177038 = V294111 + 1. assign V161330 = V003410. assign V359394 = V894397 - 1. assign V622315 = V647891. assign V573048 = V291549. assign V107951 = V836329. assign V971732 = V554222 - 1. assign V041790 = V203642. assign V790826 = V554222 + 1. assign V588984 = V117949 - 1. assign V057262 = V504604 - 1. assign V894397 = V836329 + 1. assign V960407 = V489186. assign V972570 = V294111 + 1. assign V992228 = V343148 + 1. assign V072482 = V245043. assign V543621 = V504604 - 1. assign V058691 = V551293. assign V543986 = V281166. assign V311424 = V647891. assign V130265 = V968141 - 1. assign V007440 = V829421 - 1. assign V595664 = V918318. assign V714882 = V854462. assign V117949 = V489186. assign V942120 = V747846 - 1. assign V665690 = V000124. assign V644973 = V203642 + 1. assign V708815 = V000124 - 1. assign V237091 = V649392 - 1. assign V554222 = V727045 - 1. assign V681055 = V003410. assign V649392 = V647891. assign V342736 = V604959. assign V292632 = V727045 + 1. assign V040241 = V342736. assign V456006 = V321862 + 1. assign V414582 = V457723 - 1. assign V203642 = V633673 + 1. assign V687368 = V342204. assign V003410 = V714882 + 1. assign V769698 = V708815. assign V152429 = V894397 - 1. assign V171958 = V342736 - 1. assign V980907 = V681055 + 1. assign V909180 = V211196 + 1. assign V211196 = V007053 + 1. assign V428668 = V198782. assign V938350 = V540570 - 1. assign V933272 = V894397. assign V244515 = V071681 - 1. assign V375560 = V829421 + 1. assign V840410 = V540570 + 1. assign V985595 = V714882. assign V457465 = V135443. assign V487829 = V483446 - 1. assign V189984 = V543621 + 1. assign V091540 = V000124 - 1. assign V791016 = V342736 - 1. assign V618545 = V902379 + 1. assign V829421 = V670281. assign V968594 = V733022 + 1. assign V275365 = V817127 - 1. assign V882425 = V198782. assign V638953 = V323943. assign V670572 = V497993 - 1. assign V056436 = V681055 - 1. assign V551293 = V633673 - 1. assign V494480 = V817127 + 1. assign V245779 = V688990 - 1. assign V449471 = V960407 + 1. assign V187756 = V107951. assign V433154 = V618545 - 1. assign V323943 = V291549. assign V248132 = V086679. assign V497993 = V196873. assign V092974 = V504604. assign V782121 = 6. assign V489186 = V902379. assign V573281 = V665690 - 1. assign V613113 = V817127. assign V648319 = V647891. assign V702272 = V972570. assign V071681 = V294111 - 1. assign V163518 = V554222 + 1. assign V457723 = V609893. assign V342204 = V297751. assign V000124 = V196873 + 1. assign V423080 = V632326 + 1. assign V667586 = V543986. assign V670281 = V152429 - 1. assign V007053 = V727045. assign V350526 = V618545 + 1. assign V595161 = V411455 - 1. assign V777363 = V316861 + 1. assign V390540 = V791016 + 1. assign V904874 = V960407 + 1. assign V291549 = V902379. assign V347413 = V791016 - 1. assign V294111 = V854462 + 1. assign V483446 = V733022. assign V976796 = V302258 + 1. assign V540570 = V554222 + 1. assign V659888 = V000124 + 1. assign V846015 = V489186 - 1. assign V144759 = V342736 + 1. assign V854462 = V836329 + 1. assign V806527 = V821950. assign V219402 = V433154 + 1. assign V836329 = V727045. assign V015719 = V091540 + 1. assign V812543 = V292632 + 1. assign V299486 = V609893 + 1. assign V918318 = V054836 - 1. assign V465325 = V782121 + 1. assign V609893 = V908593 + 1. assign V727045 = V489186. assign V677798 = V359394 + 1. assign V196873 = V727045 - 1. assign V821950 = V292632 + 1. assign V134187 = V359394 - 1. assign V127803 = V456006 + 1. assign V647891 = V117949 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V187872 = V554222 + 1. assign V887801 = V117949. assign V619951 = V101422 - 1. assign V505720 = V687368 - 1. assign V297751 = V619951. assign V411455 = V219402 + 1. assign V701697 = V777363 + 1. assign V245043 = V960407 + 1. assign V504604 = V342736 + 1. assign V401733 = V433154 - 1. assign V886734 = V152429 - 1. assign V747846 = V350526 + 1. assign V421596 = V007053. assign V688990 = V968141 - 1. assign V054836 = V727045 + 1. assign V408730 = V411455 - 1. assign V225354 = V846015. assign V733022 = V618545 - 1. assign V339751 = V805256 - 1. assign V198782 = V960407 + 1. assign V393644 = V604959 + 1. assign V633673 = V918318 - 1. assign V805256 = V618545. assign V163690 = V806527. assign V888681 = V457723 - 1. assign V632326 = V902379 - 1. assign V316861 = V821950 + 1. assign V281166 = V904874 - 1. assign V086679 = V918318 - 1. assign V321862 = V633673 - 1. assign V817127 = V347413 + 1. assign V302258 = V551293. assign V343148 = V057262 - 1. assign V036213 = V171958 - 1. assign V135443 = V117949 + 1. assign V875887 = V573281 - 1. assign V908593 = V101422. assign V604959 = V727045 - 1. assign V037719 = V339751 - 1. assign V968141 = V647891 + 1. assign V940404 = V134187 + 1. assign V668987 = V101422. assign V786580 = V727045 - 1. assign V367062 = V497993 + 1. assign V243892 = V632326 - 1. assign V482855 = V714882 + 1. assign V160140 = V449471. assign V101422 = V152429. assign V456303 = V135443. assign V177038 = V294111 + 1. assign V161330 = V003410. assign V359394 = V894397 - 1. assign V622315 = V647891. assign V573048 = V291549. assign V107951 = V836329. assign V971732 = V554222 - 1. assign V041790 = V203642. assign V790826 = V554222 + 1. assign V588984 = V117949 - 1. assign V057262 = V504604 - 1. assign V894397 = V836329 + 1. assign V960407 = V489186. assign V972570 = V294111 + 1. assign V992228 = V343148 + 1. assign V072482 = V245043. assign V543621 = V504604 - 1. assign V058691 = V551293. assign V543986 = V281166. assign V311424 = V647891. assign V130265 = V968141 - 1. assign V007440 = V829421 - 1. assign V595664 = V918318. assign V714882 = V854462. assign V117949 = V489186. assign V942120 = V747846 - 1. assign V665690 = V000124. assign V644973 = V203642 + 1. assign V708815 = V000124 - 1. assign V237091 = V649392 - 1. assign V554222 = V727045 - 1. assign V681055 = V003410. assign V649392 = V647891. assign V342736 = V604959. assign V292632 = V727045 + 1. assign V040241 = V342736. assign V456006 = V321862 + 1. assign V414582 = V457723 - 1. assign V203642 = V633673 + 1. assign V687368 = V342204. assign V003410 = V714882 + 1. assign V769698 = V708815. assign V152429 = V894397 - 1. assign V171958 = V342736 - 1. assign V980907 = V681055 + 1. assign V909180 = V211196 + 1. assign V211196 = V007053 + 1. assign V428668 = V198782. assign V938350 = V540570 - 1. assign V933272 = V894397. assign V244515 = V071681 - 1. assign V375560 = V829421 + 1. assign V840410 = V540570 + 1. assign V985595 = V714882. assign V457465 = V135443. assign V487829 = V483446 - 1. assign V189984 = V543621 + 1. assign V091540 = V000124 - 1. assign V791016 = V342736 - 1. assign V618545 = V902379 + 1. assign V829421 = V670281. assign V968594 = V733022 + 1. assign V275365 = V817127 - 1. assign V882425 = V198782. assign V638953 = V323943. assign V670572 = V497993 - 1. assign V056436 = V681055 - 1. assign V551293 = V633673 - 1. assign V494480 = V817127 + 1. assign V245779 = V688990 - 1. assign V449471 = V960407 + 1. assign V187756 = V107951. assign V433154 = V618545 - 1. assign V323943 = V291549. assign V248132 = V086679. assign V497993 = V196873. assign V092974 = V504604. assign V782121 = 6. assign V489186 = V902379. assign V573281 = V665690 - 1. assign V613113 = V817127. assign V648319 = V647891. assign V702272 = V972570. assign V071681 = V294111 - 1. assign V163518 = V554222 + 1. assign V457723 = V609893. assign V342204 = V297751. assign V000124 = V196873 + 1. assign V423080 = V632326 + 1. assign V667586 = V543986. assign V670281 = V152429 - 1. assign V007053 = V727045. assign V350526 = V618545 + 1. assign V595161 = V411455 - 1. assign V777363 = V316861 + 1. assign V390540 = V791016 + 1. assign V904874 = V960407 + 1. assign V291549 = V902379. assign V347413 = V791016 - 1. assign V294111 = V854462 + 1. assign V483446 = V733022. assign V976796 = V302258 + 1. assign V540570 = V554222 + 1. assign V659888 = V000124 + 1. assign V846015 = V489186 - 1. assign V144759 = V342736 + 1. assign V854462 = V836329 + 1. assign V806527 = V821950. assign V219402 = V433154 + 1. assign V836329 = V727045. assign V015719 = V091540 + 1. assign V812543 = V292632 + 1. assign V299486 = V609893 + 1. assign V918318 = V054836 - 1. assign V465325 = V782121 + 1. assign V609893 = V908593 + 1. assign V727045 = V489186. assign V677798 = V359394 + 1. assign V196873 = V727045 - 1. assign V821950 = V292632 + 1. assign V134187 = V359394 - 1. assign V127803 = V456006 + 1. assign V647891 = V117949 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV782121 = 6;\n\nFrom these direct assignment(s), we have: \nV465325 = V782121 + 1 = 6 + 1 =7;\nNo other variables can be derived from V465325;\nNo other variables can be derived from V782121;\n\nNow we have done all the calculations. Derived variables are:\nV782121 = 6;\nV465325 = 7;\n\nNow we have finished this problem. ANSWER:\nV782121\n", "role": "assistant" } ]

[ "V237483", "V619569" ]

[ { "content": "<context>\nassign V706123 = V856112 + 1. assign V613212 = V152036 - 1. assign V832922 = V865759 - 1. assign V868911 = V925173 - 1. assign V738193 = V691568 + 1. assign V131945 = V710655 - 1. assign V075780 = V152036 - 1. assign V865759 = V635456 + 1. assign V182528 = V020328 + 1. assign V355530 = V231226 - 1. assign V782536 = V857133. assign V873545 = V177635 + 1. assign V942445 = V947054 - 1. assign V027215 = V181433 - 1. assign V470172 = V710655 + 1. assign V658090 = V125367 - 1. assign V181433 = V219952 - 1. assign V309934 = V882169 - 1. assign V891785 = V115201 - 1. assign V989759 = V420801 + 1. assign V854300 = V635456 - 1. assign V691568 = V854949 - 1. assign V139473 = V854949 - 1. assign V648497 = V731508. assign V115201 = V426493 + 1. assign V037748 = V854949 - 1. assign V175277 = V637292 + 1. assign V773049 = V531454. assign V454066 = V839878 - 1. assign V315423 = V749659. assign V086383 = V685891 + 1. assign V637521 = V181433. assign V108883 = V723063 - 1. assign V385083 = V638107 - 1. assign V882169 = V348786. assign V637292 = V638107 - 1. assign V697778 = V608789 - 1. assign V699604 = V857133 - 1. assign V801716 = V220019 - 1. assign V608774 = V731798 - 1. assign V190920 = V348786 - 1. assign V809298 = V182528 + 1. assign V120981 = V896633. assign V306631 = V787375 - 1. assign V854949 = V020328 + 1. assign V732775 = V120981 + 1. assign V958879 = V224282 + 1. assign V586799 = V426493 - 1. assign V947054 = V786967 - 1. assign V777284 = V662302. assign V050382 = V787358. assign V839878 = V131945. assign V137552 = V773049 - 1. assign V320541 = V125367 + 1. assign V219952 = V220019. assign V926916 = V320541 + 1. assign V420801 = V131945 + 1. assign V295426 = V857133. assign V667648 = V710655 + 1. assign V478423 = V426493 - 1. assign V728658 = V873545 - 1. assign V426493 = V710655 + 1. assign V608789 = V854949. assign V531454 = V635456 + 1. assign V449315 = V295426 - 1. assign V513327 = V863038 - 1. assign V665764 = V006529 - 1. assign V638107 = V220019 + 1. assign V662302 = V279890 + 1. assign V192625 = V658090 - 1. assign V042597 = V125367 + 1. assign V729591 = V945382 - 1. assign V133976 = V751796. assign V023710 = V658090 + 1. assign V091556 = V187140 + 1. assign V451552 = V824213 + 1. assign V272656 = V886544 + 1. assign V812533 = V749659 - 1. assign V685891 = V725365 - 1. assign V520837 = V738193 - 1. assign V653830 = V501104 - 1. assign V951579 = V542923 - 1. assign V279890 = V658090 + 1. assign V764256 = V152036. assign V170661 = V638107 - 1. assign V736823 = V723063 - 1. assign V863038 = V854300 + 1. assign V562931 = V220019 - 1. assign V063495 = V006529 - 1. assign V480859 = V787358. assign V589489 = V181433 - 1. assign V500847 = V635456. assign V204414 = V685891. assign V787358 = V220019. assign V856112 = V648497 + 1. assign V845693 = V245998 + 1. assign V548403 = V426493 + 1. assign V931379 = V613212 - 1. assign V787375 = V658090. assign V583477 = V420801 + 1. assign V751796 = V667648. assign V177635 = V224282. assign V812595 = V623822 + 1. assign V531319 = V125367 - 1. assign V965393 = V562931 + 1. assign V999144 = V381092 + 1. assign V187140 = V426180 + 1. assign V146974 = V801716 - 1. assign V725365 = V348786 - 1. assign V731508 = V851048. assign V945382 = V787375 - 1. assign V749659 = V037748. assign V917460 = V851048 - 1. assign V152036 = V531454. assign V224282 = V426835. assign V943628 = V426493 + 1. assign V694924 = V111894. assign V767880 = V921496. assign V016221 = V295426. assign V432314 = V114493 + 1. assign V052264 = V710655 + 1. assign V188848 = V851048 + 1. assign V851048 = V125367 - 1. assign V220019 = V042597. assign V998836 = V637521 + 1. assign V236791 = V832922 + 1. assign V909876 = V478423 + 1. assign V426180 = V432314 - 1. assign V542923 = V320541 + 1. assign V824213 = V042597 + 1. assign V366677 = V037748 + 1. assign V699297 = V432314. assign V810131 = V420801. assign V786967 = V042597 - 1. assign V203926 = V832922 + 1. assign V006529 = V220019 - 1. assign V918513 = V320541. assign V731798 = V854949 + 1. assign V381092 = V131945 - 1. assign V243495 = V272656 - 1. assign V918194 = V125367 + 1. assign V772857 = V865759. assign V857133 = V638107 - 1. assign V619569 = V237483. assign V348786 = V114493 + 1. assign V237483 = 0. assign V114493 = V801716. assign V062023 = V219952 - 1. assign V389438 = V623822 - 1. assign V710655 = V042597. assign V245998 = V426493 - 1. assign V111894 = V989759 + 1. assign V886544 = V635456. assign V273879 = V868911 + 1. assign V988489 = V736823 - 1. assign V925173 = V108883 - 1. assign V896633 = V635456 + 1. assign V399865 = V426180 - 1. assign V635456 = V432314 + 1. assign V723063 = V348786 + 1. assign V530549 = V500847 - 1. assign V020328 = V042597. assign V501104 = V786967. assign V546652 = V063495. assign V682130 = V115201 - 1. assign V426835 = V114493 - 1. assign V447127 = V037748 - 1. assign V921496 = V125367 - 1. assign V527361 = V531454 - 1. assign V623822 = V891785. assign V231226 = V851048 - 1. assign V802149 = V220019.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V706123 = V856112 + 1. assign V613212 = V152036 - 1. assign V832922 = V865759 - 1. assign V868911 = V925173 - 1. assign V738193 = V691568 + 1. assign V131945 = V710655 - 1. assign V075780 = V152036 - 1. assign V865759 = V635456 + 1. assign V182528 = V020328 + 1. assign V355530 = V231226 - 1. assign V782536 = V857133. assign V873545 = V177635 + 1. assign V942445 = V947054 - 1. assign V027215 = V181433 - 1. assign V470172 = V710655 + 1. assign V658090 = V125367 - 1. assign V181433 = V219952 - 1. assign V309934 = V882169 - 1. assign V891785 = V115201 - 1. assign V989759 = V420801 + 1. assign V854300 = V635456 - 1. assign V691568 = V854949 - 1. assign V139473 = V854949 - 1. assign V648497 = V731508. assign V115201 = V426493 + 1. assign V037748 = V854949 - 1. assign V175277 = V637292 + 1. assign V773049 = V531454. assign V454066 = V839878 - 1. assign V315423 = V749659. assign V086383 = V685891 + 1. assign V637521 = V181433. assign V108883 = V723063 - 1. assign V385083 = V638107 - 1. assign V882169 = V348786. assign V637292 = V638107 - 1. assign V697778 = V608789 - 1. assign V699604 = V857133 - 1. assign V801716 = V220019 - 1. assign V608774 = V731798 - 1. assign V190920 = V348786 - 1. assign V809298 = V182528 + 1. assign V120981 = V896633. assign V306631 = V787375 - 1. assign V854949 = V020328 + 1. assign V732775 = V120981 + 1. assign V958879 = V224282 + 1. assign V586799 = V426493 - 1. assign V947054 = V786967 - 1. assign V777284 = V662302. assign V050382 = V787358. assign V839878 = V131945. assign V137552 = V773049 - 1. assign V320541 = V125367 + 1. assign V219952 = V220019. assign V926916 = V320541 + 1. assign V420801 = V131945 + 1. assign V295426 = V857133. assign V667648 = V710655 + 1. assign V478423 = V426493 - 1. assign V728658 = V873545 - 1. assign V426493 = V710655 + 1. assign V608789 = V854949. assign V531454 = V635456 + 1. assign V449315 = V295426 - 1. assign V513327 = V863038 - 1. assign V665764 = V006529 - 1. assign V638107 = V220019 + 1. assign V662302 = V279890 + 1. assign V192625 = V658090 - 1. assign V042597 = V125367 + 1. assign V729591 = V945382 - 1. assign V133976 = V751796. assign V023710 = V658090 + 1. assign V091556 = V187140 + 1. assign V451552 = V824213 + 1. assign V272656 = V886544 + 1. assign V812533 = V749659 - 1. assign V685891 = V725365 - 1. assign V520837 = V738193 - 1. assign V653830 = V501104 - 1. assign V951579 = V542923 - 1. assign V279890 = V658090 + 1. assign V764256 = V152036. assign V170661 = V638107 - 1. assign V736823 = V723063 - 1. assign V863038 = V854300 + 1. assign V562931 = V220019 - 1. assign V063495 = V006529 - 1. assign V480859 = V787358. assign V589489 = V181433 - 1. assign V500847 = V635456. assign V204414 = V685891. assign V787358 = V220019. assign V856112 = V648497 + 1. assign V845693 = V245998 + 1. assign V548403 = V426493 + 1. assign V931379 = V613212 - 1. assign V787375 = V658090. assign V583477 = V420801 + 1. assign V751796 = V667648. assign V177635 = V224282. assign V812595 = V623822 + 1. assign V531319 = V125367 - 1. assign V965393 = V562931 + 1. assign V999144 = V381092 + 1. assign V187140 = V426180 + 1. assign V146974 = V801716 - 1. assign V725365 = V348786 - 1. assign V731508 = V851048. assign V945382 = V787375 - 1. assign V749659 = V037748. assign V917460 = V851048 - 1. assign V152036 = V531454. assign V224282 = V426835. assign V943628 = V426493 + 1. assign V694924 = V111894. assign V767880 = V921496. assign V016221 = V295426. assign V432314 = V114493 + 1. assign V052264 = V710655 + 1. assign V188848 = V851048 + 1. assign V851048 = V125367 - 1. assign V220019 = V042597. assign V998836 = V637521 + 1. assign V236791 = V832922 + 1. assign V909876 = V478423 + 1. assign V426180 = V432314 - 1. assign V542923 = V320541 + 1. assign V824213 = V042597 + 1. assign V366677 = V037748 + 1. assign V699297 = V432314. assign V810131 = V420801. assign V786967 = V042597 - 1. assign V203926 = V832922 + 1. assign V006529 = V220019 - 1. assign V918513 = V320541. assign V731798 = V854949 + 1. assign V381092 = V131945 - 1. assign V243495 = V272656 - 1. assign V918194 = V125367 + 1. assign V772857 = V865759. assign V857133 = V638107 - 1. assign V619569 = V237483. assign V348786 = V114493 + 1. assign V237483 = 0. assign V114493 = V801716. assign V062023 = V219952 - 1. assign V389438 = V623822 - 1. assign V710655 = V042597. assign V245998 = V426493 - 1. assign V111894 = V989759 + 1. assign V886544 = V635456. assign V273879 = V868911 + 1. assign V988489 = V736823 - 1. assign V925173 = V108883 - 1. assign V896633 = V635456 + 1. assign V399865 = V426180 - 1. assign V635456 = V432314 + 1. assign V723063 = V348786 + 1. assign V530549 = V500847 - 1. assign V020328 = V042597. assign V501104 = V786967. assign V546652 = V063495. assign V682130 = V115201 - 1. assign V426835 = V114493 - 1. assign V447127 = V037748 - 1. assign V921496 = V125367 - 1. assign V527361 = V531454 - 1. assign V623822 = V891785. assign V231226 = V851048 - 1. assign V802149 = V220019.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV237483 = 0;\n\nFrom these direct assignment(s), we have: \nV619569 = V237483 = 0;\nNo other variables can be derived from V619569;\nNo other variables can be derived from V237483;\n\nNow we have done all the calculations. Derived variables are:\nV237483 = 0;\nV619569 = 0;\n\nNow we have finished this problem. ANSWER:\nV237483, V619569\n", "role": "assistant" } ]

[ "V904248" ]

[ { "content": "<context>\nassign V537700 = V054490 - 1. assign V652124 = V141995 - 1. assign V833738 = V387992. assign V631666 = V329684. assign V807196 = V253664. assign V312105 = V582009 - 1. assign V211760 = V141995. assign V852601 = V807196. assign V060427 = V649591 + 1. assign V711584 = V806729. assign V838177 = V631666 - 1. assign V727624 = V537700 + 1. assign V806729 = V486152 - 1. assign V688446 = V714877. assign V412903 = V566244. assign V432180 = V519043 + 1. assign V056709 = V387992 - 1. assign V922196 = V729155 - 1. assign V125107 = V688446. assign V519043 = V729155 - 1. assign V253006 = V582009. assign V526750 = V904248 + 1. assign V862084 = V323955. assign V939341 = V486152 + 1. assign V489400 = V560496 - 1. assign V636969 = V110384. assign V905045 = V163492 - 1. assign V364159 = V119100 - 1. assign V054043 = V402955. assign V264790 = V071759. assign V819600 = V739698 + 1. assign V817733 = V688446 - 1. assign V353524 = V649591 + 1. assign V550417 = V402955 - 1. assign V729155 = V005444 - 1. assign V110691 = V324033. assign V668587 = V110691 + 1. assign V246567 = V397594 - 1. assign V486152 = V560496 + 1. assign V411352 = V314250. assign V397594 = V506250 + 1. assign V560496 = V688446. assign V912590 = V459669 - 1. assign V246310 = V582009. assign V006208 = V606498 - 1. assign V614860 = V819600. assign V311004 = V833738. assign V500024 = V243251. assign V698105 = V783134 - 1. assign V438250 = V110691. assign V041002 = V264790. assign V026202 = V071759. assign V296550 = V032701. assign V314250 = V032701 + 1. assign V488715 = V188780 + 1. assign V091407 = V560496. assign V210274 = V097499. assign V651314 = V572669 + 1. assign V248389 = V438250 - 1. assign V748189 = V855002 - 1. assign V606498 = V906202 + 1. assign V459669 = V658319 - 1. assign V672924 = V912590. assign V828217 = V067642 + 1. assign V589168 = V246567. assign V417877 = V310215. assign V715974 = V364159. assign V403444 = V296550 + 1. assign V390892 = V649591. assign V660580 = V454785 - 1. assign V884225 = V806729. assign V248952 = V030191 + 1. assign V157652 = V295210 - 1. assign V651152 = V005444 - 1. assign V119100 = V220054 - 1. assign V730473 = V189288 - 1. assign V921553 = V582009 + 1. assign V777081 = V454785 + 1. assign V314562 = V110691 + 1. assign V079201 = V071759 + 1. assign V746813 = V564400 - 1. assign V906328 = V319344 + 1. assign V653970 = V729155. assign V658319 = V110691. assign V126933 = V097499 - 1. assign V632242 = V119100 - 1. assign V005444 = V688446 + 1. assign V855002 = V620358 + 1. assign V714877 = V253664 + 1. assign V856937 = V141995. assign V030191 = V041002 - 1. assign V454785 = V560496 + 1. assign V591335 = V220054 + 1. assign V323955 = V071759. assign V545083 = V253664. assign V141995 = V658319 + 1. assign V869975 = V852601 + 1. assign V028352 = V253664. assign V995665 = V727624 + 1. assign V329684 = V323955 - 1. assign V106710 = V651152 - 1. assign V414821 = V243251. assign V572669 = V319787. assign V703261 = V537700 + 1. assign V287694 = V253006 + 1. assign V912322 = V314250 - 1. assign V319787 = V294470. assign V336470 = V651152 - 1. assign V189288 = V402955. assign V726959 = V376350. assign V376350 = V295210. assign V472088 = V729155 - 1. assign V662808 = V807196. assign V280973 = V028352 - 1. assign V464497 = V545083. assign V791273 = V906202 + 1. assign V904248 = 3. assign V555325 = V189288 + 1. assign V962108 = V906202. assign V229804 = V329684 - 1. assign V071759 = V506250 - 1. assign V220054 = V807196 + 1. assign V097499 = V110691 - 1. assign V654043 = V486152 + 1. assign V582009 = V566244. assign V324033 = V729155. assign V564400 = V296550 - 1. assign V256668 = V668587. assign V906202 = V852601. assign V918053 = V649591 + 1. assign V402955 = V817733. assign V366813 = V032701. assign V670985 = V636969 + 1. assign V783134 = V387992 - 1. assign V649591 = V264790 + 1. assign V441131 = V698105 - 1. assign V295210 = V566244. assign V191908 = V651152 + 1. assign V310215 = V582009. assign V464373 = V071759 + 1. assign V294470 = V729155 + 1. assign V739698 = V608680 + 1. assign V067642 = V336470. assign V434179 = V056709. assign V668343 = V054490 - 1. assign V243251 = V314562 + 1. assign V606105 = V054490. assign V110384 = V560496 + 1. assign V506250 = V253664 + 1. assign V554748 = V387992 - 1. assign V377871 = V005444 - 1. assign V957799 = V606498 - 1. assign V387992 = V855002 - 1. assign V275819 = V698105. assign V032701 = V319344 - 1. assign V799975 = V884225 + 1. assign V566244 = V807196. assign V292789 = V636969 - 1. assign V663129 = V906328 - 1. assign V244890 = V005444. assign V608680 = V806729 - 1. assign V710890 = V244890 + 1. assign V163492 = V582009 + 1. assign V064333 = V957799 + 1. assign V542520 = V323955 + 1. assign V188780 = V819600 + 1. assign V611980 = V246310. assign V013050 = V079201. assign V054490 = V852601 - 1. assign V620358 = V918053. assign V319344 = V005444. assign V021166 = V688446 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V537700 = V054490 - 1. assign V652124 = V141995 - 1. assign V833738 = V387992. assign V631666 = V329684. assign V807196 = V253664. assign V312105 = V582009 - 1. assign V211760 = V141995. assign V852601 = V807196. assign V060427 = V649591 + 1. assign V711584 = V806729. assign V838177 = V631666 - 1. assign V727624 = V537700 + 1. assign V806729 = V486152 - 1. assign V688446 = V714877. assign V412903 = V566244. assign V432180 = V519043 + 1. assign V056709 = V387992 - 1. assign V922196 = V729155 - 1. assign V125107 = V688446. assign V519043 = V729155 - 1. assign V253006 = V582009. assign V526750 = V904248 + 1. assign V862084 = V323955. assign V939341 = V486152 + 1. assign V489400 = V560496 - 1. assign V636969 = V110384. assign V905045 = V163492 - 1. assign V364159 = V119100 - 1. assign V054043 = V402955. assign V264790 = V071759. assign V819600 = V739698 + 1. assign V817733 = V688446 - 1. assign V353524 = V649591 + 1. assign V550417 = V402955 - 1. assign V729155 = V005444 - 1. assign V110691 = V324033. assign V668587 = V110691 + 1. assign V246567 = V397594 - 1. assign V486152 = V560496 + 1. assign V411352 = V314250. assign V397594 = V506250 + 1. assign V560496 = V688446. assign V912590 = V459669 - 1. assign V246310 = V582009. assign V006208 = V606498 - 1. assign V614860 = V819600. assign V311004 = V833738. assign V500024 = V243251. assign V698105 = V783134 - 1. assign V438250 = V110691. assign V041002 = V264790. assign V026202 = V071759. assign V296550 = V032701. assign V314250 = V032701 + 1. assign V488715 = V188780 + 1. assign V091407 = V560496. assign V210274 = V097499. assign V651314 = V572669 + 1. assign V248389 = V438250 - 1. assign V748189 = V855002 - 1. assign V606498 = V906202 + 1. assign V459669 = V658319 - 1. assign V672924 = V912590. assign V828217 = V067642 + 1. assign V589168 = V246567. assign V417877 = V310215. assign V715974 = V364159. assign V403444 = V296550 + 1. assign V390892 = V649591. assign V660580 = V454785 - 1. assign V884225 = V806729. assign V248952 = V030191 + 1. assign V157652 = V295210 - 1. assign V651152 = V005444 - 1. assign V119100 = V220054 - 1. assign V730473 = V189288 - 1. assign V921553 = V582009 + 1. assign V777081 = V454785 + 1. assign V314562 = V110691 + 1. assign V079201 = V071759 + 1. assign V746813 = V564400 - 1. assign V906328 = V319344 + 1. assign V653970 = V729155. assign V658319 = V110691. assign V126933 = V097499 - 1. assign V632242 = V119100 - 1. assign V005444 = V688446 + 1. assign V855002 = V620358 + 1. assign V714877 = V253664 + 1. assign V856937 = V141995. assign V030191 = V041002 - 1. assign V454785 = V560496 + 1. assign V591335 = V220054 + 1. assign V323955 = V071759. assign V545083 = V253664. assign V141995 = V658319 + 1. assign V869975 = V852601 + 1. assign V028352 = V253664. assign V995665 = V727624 + 1. assign V329684 = V323955 - 1. assign V106710 = V651152 - 1. assign V414821 = V243251. assign V572669 = V319787. assign V703261 = V537700 + 1. assign V287694 = V253006 + 1. assign V912322 = V314250 - 1. assign V319787 = V294470. assign V336470 = V651152 - 1. assign V189288 = V402955. assign V726959 = V376350. assign V376350 = V295210. assign V472088 = V729155 - 1. assign V662808 = V807196. assign V280973 = V028352 - 1. assign V464497 = V545083. assign V791273 = V906202 + 1. assign V904248 = 3. assign V555325 = V189288 + 1. assign V962108 = V906202. assign V229804 = V329684 - 1. assign V071759 = V506250 - 1. assign V220054 = V807196 + 1. assign V097499 = V110691 - 1. assign V654043 = V486152 + 1. assign V582009 = V566244. assign V324033 = V729155. assign V564400 = V296550 - 1. assign V256668 = V668587. assign V906202 = V852601. assign V918053 = V649591 + 1. assign V402955 = V817733. assign V366813 = V032701. assign V670985 = V636969 + 1. assign V783134 = V387992 - 1. assign V649591 = V264790 + 1. assign V441131 = V698105 - 1. assign V295210 = V566244. assign V191908 = V651152 + 1. assign V310215 = V582009. assign V464373 = V071759 + 1. assign V294470 = V729155 + 1. assign V739698 = V608680 + 1. assign V067642 = V336470. assign V434179 = V056709. assign V668343 = V054490 - 1. assign V243251 = V314562 + 1. assign V606105 = V054490. assign V110384 = V560496 + 1. assign V506250 = V253664 + 1. assign V554748 = V387992 - 1. assign V377871 = V005444 - 1. assign V957799 = V606498 - 1. assign V387992 = V855002 - 1. assign V275819 = V698105. assign V032701 = V319344 - 1. assign V799975 = V884225 + 1. assign V566244 = V807196. assign V292789 = V636969 - 1. assign V663129 = V906328 - 1. assign V244890 = V005444. assign V608680 = V806729 - 1. assign V710890 = V244890 + 1. assign V163492 = V582009 + 1. assign V064333 = V957799 + 1. assign V542520 = V323955 + 1. assign V188780 = V819600 + 1. assign V611980 = V246310. assign V013050 = V079201. assign V054490 = V852601 - 1. assign V620358 = V918053. assign V319344 = V005444. assign V021166 = V688446 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV904248 = 3;\n\nFrom these direct assignment(s), we have: \nV526750 = V904248 + 1 = 3 + 1 =4;\nNo other variables can be derived from V526750;\nNo other variables can be derived from V904248;\n\nNow we have done all the calculations. Derived variables are:\nV904248 = 3;\nV526750 = 4;\n\nNow we have finished this problem. ANSWER:\nV904248\n", "role": "assistant" } ]

[ "V956837", "V021026" ]

[ { "content": "<context>\nassign V712422 = V409630. assign V324998 = V765294 + 1. assign V272488 = V572864. assign V812614 = V901822 + 1. assign V545627 = V722437. assign V391083 = V393653 + 1. assign V482968 = V431890 - 1. assign V959237 = V433116 - 1. assign V823437 = V257628 + 1. assign V904447 = V563521 - 1. assign V800610 = V486923. assign V246123 = V510132. assign V768374 = V178455 - 1. assign V263864 = V433116 - 1. assign V058899 = V181594 + 1. assign V761237 = V746712. assign V923048 = V476958 - 1. assign V002838 = V555144 - 1. assign V290215 = V431890 + 1. assign V630430 = V482968 - 1. assign V146228 = V431890. assign V349425 = V178455. assign V549259 = V688425 + 1. assign V270339 = V035687 + 1. assign V762386 = V222898 - 1. assign V341474 = V555144. assign V518098 = V290215 - 1. assign V621355 = V177643. assign V006817 = V127352 + 1. assign V829575 = V369947. assign V346382 = V823437 - 1. assign V257628 = V768374 - 1. assign V728205 = V829575 - 1. assign V957417 = V159616 - 1. assign V369947 = V532905 - 1. assign V589676 = V779831 - 1. assign V390229 = V497848. assign V164209 = V572864. assign V003833 = V939743 - 1. assign V540077 = V465304. assign V746712 = V222898 - 1. assign V856566 = V712422 - 1. assign V204785 = V290215 + 1. assign V453788 = V084821 - 1. assign V878283 = V856566. assign V485634 = V433116 - 1. assign V409630 = V939743 + 1. assign V174000 = V465304 - 1. assign V222898 = V476958. assign V211155 = V390229 + 1. assign V158977 = V006817 - 1. assign V031619 = V006817 + 1. assign V823041 = V812614 - 1. assign V157496 = V031619 - 1. assign V712738 = V712422 - 1. assign V584065 = V841176. assign V234724 = V892008 + 1. assign V936560 = V856350. assign V299941 = V316646 + 1. assign V021026 = V956837. assign V510132 = V497848 + 1. assign V518984 = V181594 + 1. assign V177643 = V181594 + 1. assign V690570 = V408036. assign V181594 = V901822 + 1. assign V986054 = V545627 - 1. assign V491577 = V823437. assign V561235 = V411354 - 1. assign V184741 = V211155 + 1. assign V017514 = V923048. assign V635241 = V409630 - 1. assign V734230 = V892008 - 1. assign V945891 = V555144 - 1. assign V762699 = V734230. assign V567280 = V349425. assign V279320 = V712738. assign V486923 = V532905 - 1. assign V035687 = V986871 - 1. assign V178455 = V901822 + 1. assign V856350 = V456504 - 1. assign V316646 = V177643. assign V476958 = V812614. assign V069641 = V132686 - 1. assign V879258 = V409630. assign V209238 = V456504 + 1. assign V946081 = V316646. assign V557276 = V429330 - 1. assign V429330 = V821064 + 1. assign V532905 = V939743 + 1. assign V031616 = V476958 - 1. assign V958374 = V309186 - 1. assign V203124 = V408036. assign V465304 = V164209 + 1. assign V986871 = V013732 - 1. assign V443508 = V178455 + 1. assign V127352 = V164209 - 1. assign V002047 = V213515 - 1. assign V438229 = V746712 + 1. assign V625924 = V892008 - 1. assign V722437 = V901822 + 1. assign V729130 = V443508 + 1. assign V736859 = V272488 - 1. assign V777048 = V159616 - 1. assign V284514 = V510132 - 1. assign V130445 = V270339 + 1. assign V019270 = V084821 - 1. assign V401899 = V901822 + 1. assign V414250 = V923048 - 1. assign V563521 = V476958 + 1. assign V719149 = V010779. assign V408036 = V431890 - 1. assign V581378 = V431890 - 1. assign V355883 = V164209. assign V779831 = V222898 + 1. assign V939743 = V476958. assign V132686 = V031619. assign V956837 = 3. assign V210492 = V031616. assign V572864 = V178455 - 1. assign V387258 = V272488. assign V431890 = V476958 - 1. assign V553568 = V558125. assign V159616 = V031616 + 1. assign V433116 = V177643 + 1. assign V497848 = V555144 - 1. assign V059419 = V284514 - 1. assign V071806 = V379092. assign V470760 = V821064 + 1. assign V536556 = V572864. assign V624476 = V035687 + 1. assign V479805 = V391083. assign V626640 = V625924 - 1. assign V501693 = V349425 - 1. assign V679924 = V349425 + 1. assign V456504 = V945891. assign V013732 = V127352 + 1. assign V995158 = V414250 - 1. assign V111439 = V555144. assign V309186 = V111439 + 1. assign V892008 = V904447 + 1. assign V913739 = V762699 - 1. assign V968937 = V006817 + 1. assign V071947 = V945891 - 1. assign V307179 = V393653 + 1. assign V393653 = V823041 + 1. assign V704941 = V722437. assign V394406 = V434454 - 1. assign V084821 = V563521 + 1. assign V538448 = V391083 + 1. assign V652323 = V178455. assign V465692 = V688425 - 1. assign V841176 = V058330 + 1. assign V845520 = V841176. assign V851334 = V704941 - 1. assign V927892 = V316646 - 1. assign V672207 = V823437 - 1. assign V434454 = V497848. assign V374042 = V246123 + 1. assign V010779 = V679924. assign V821064 = V555144 - 1. assign V555144 = V164209 + 1. assign V379092 = V213515 + 1. assign V558125 = V177643 - 1. assign V088055 = V316646 - 1. assign V170153 = V624476 + 1. assign V765294 = V945891 - 1. assign V058330 = V652323. assign V411354 = V734230 + 1. assign V688425 = V486923. assign V932860 = V901822 + 1. assign V241034 = V355883 - 1. assign V213515 = V272488 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V712422 = V409630. assign V324998 = V765294 + 1. assign V272488 = V572864. assign V812614 = V901822 + 1. assign V545627 = V722437. assign V391083 = V393653 + 1. assign V482968 = V431890 - 1. assign V959237 = V433116 - 1. assign V823437 = V257628 + 1. assign V904447 = V563521 - 1. assign V800610 = V486923. assign V246123 = V510132. assign V768374 = V178455 - 1. assign V263864 = V433116 - 1. assign V058899 = V181594 + 1. assign V761237 = V746712. assign V923048 = V476958 - 1. assign V002838 = V555144 - 1. assign V290215 = V431890 + 1. assign V630430 = V482968 - 1. assign V146228 = V431890. assign V349425 = V178455. assign V549259 = V688425 + 1. assign V270339 = V035687 + 1. assign V762386 = V222898 - 1. assign V341474 = V555144. assign V518098 = V290215 - 1. assign V621355 = V177643. assign V006817 = V127352 + 1. assign V829575 = V369947. assign V346382 = V823437 - 1. assign V257628 = V768374 - 1. assign V728205 = V829575 - 1. assign V957417 = V159616 - 1. assign V369947 = V532905 - 1. assign V589676 = V779831 - 1. assign V390229 = V497848. assign V164209 = V572864. assign V003833 = V939743 - 1. assign V540077 = V465304. assign V746712 = V222898 - 1. assign V856566 = V712422 - 1. assign V204785 = V290215 + 1. assign V453788 = V084821 - 1. assign V878283 = V856566. assign V485634 = V433116 - 1. assign V409630 = V939743 + 1. assign V174000 = V465304 - 1. assign V222898 = V476958. assign V211155 = V390229 + 1. assign V158977 = V006817 - 1. assign V031619 = V006817 + 1. assign V823041 = V812614 - 1. assign V157496 = V031619 - 1. assign V712738 = V712422 - 1. assign V584065 = V841176. assign V234724 = V892008 + 1. assign V936560 = V856350. assign V299941 = V316646 + 1. assign V021026 = V956837. assign V510132 = V497848 + 1. assign V518984 = V181594 + 1. assign V177643 = V181594 + 1. assign V690570 = V408036. assign V181594 = V901822 + 1. assign V986054 = V545627 - 1. assign V491577 = V823437. assign V561235 = V411354 - 1. assign V184741 = V211155 + 1. assign V017514 = V923048. assign V635241 = V409630 - 1. assign V734230 = V892008 - 1. assign V945891 = V555144 - 1. assign V762699 = V734230. assign V567280 = V349425. assign V279320 = V712738. assign V486923 = V532905 - 1. assign V035687 = V986871 - 1. assign V178455 = V901822 + 1. assign V856350 = V456504 - 1. assign V316646 = V177643. assign V476958 = V812614. assign V069641 = V132686 - 1. assign V879258 = V409630. assign V209238 = V456504 + 1. assign V946081 = V316646. assign V557276 = V429330 - 1. assign V429330 = V821064 + 1. assign V532905 = V939743 + 1. assign V031616 = V476958 - 1. assign V958374 = V309186 - 1. assign V203124 = V408036. assign V465304 = V164209 + 1. assign V986871 = V013732 - 1. assign V443508 = V178455 + 1. assign V127352 = V164209 - 1. assign V002047 = V213515 - 1. assign V438229 = V746712 + 1. assign V625924 = V892008 - 1. assign V722437 = V901822 + 1. assign V729130 = V443508 + 1. assign V736859 = V272488 - 1. assign V777048 = V159616 - 1. assign V284514 = V510132 - 1. assign V130445 = V270339 + 1. assign V019270 = V084821 - 1. assign V401899 = V901822 + 1. assign V414250 = V923048 - 1. assign V563521 = V476958 + 1. assign V719149 = V010779. assign V408036 = V431890 - 1. assign V581378 = V431890 - 1. assign V355883 = V164209. assign V779831 = V222898 + 1. assign V939743 = V476958. assign V132686 = V031619. assign V956837 = 3. assign V210492 = V031616. assign V572864 = V178455 - 1. assign V387258 = V272488. assign V431890 = V476958 - 1. assign V553568 = V558125. assign V159616 = V031616 + 1. assign V433116 = V177643 + 1. assign V497848 = V555144 - 1. assign V059419 = V284514 - 1. assign V071806 = V379092. assign V470760 = V821064 + 1. assign V536556 = V572864. assign V624476 = V035687 + 1. assign V479805 = V391083. assign V626640 = V625924 - 1. assign V501693 = V349425 - 1. assign V679924 = V349425 + 1. assign V456504 = V945891. assign V013732 = V127352 + 1. assign V995158 = V414250 - 1. assign V111439 = V555144. assign V309186 = V111439 + 1. assign V892008 = V904447 + 1. assign V913739 = V762699 - 1. assign V968937 = V006817 + 1. assign V071947 = V945891 - 1. assign V307179 = V393653 + 1. assign V393653 = V823041 + 1. assign V704941 = V722437. assign V394406 = V434454 - 1. assign V084821 = V563521 + 1. assign V538448 = V391083 + 1. assign V652323 = V178455. assign V465692 = V688425 - 1. assign V841176 = V058330 + 1. assign V845520 = V841176. assign V851334 = V704941 - 1. assign V927892 = V316646 - 1. assign V672207 = V823437 - 1. assign V434454 = V497848. assign V374042 = V246123 + 1. assign V010779 = V679924. assign V821064 = V555144 - 1. assign V555144 = V164209 + 1. assign V379092 = V213515 + 1. assign V558125 = V177643 - 1. assign V088055 = V316646 - 1. assign V170153 = V624476 + 1. assign V765294 = V945891 - 1. assign V058330 = V652323. assign V411354 = V734230 + 1. assign V688425 = V486923. assign V932860 = V901822 + 1. assign V241034 = V355883 - 1. assign V213515 = V272488 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV956837 = 3;\n\nFrom these direct assignment(s), we have: \nV021026 = V956837 = 3;\nNo other variables can be derived from V021026;\nNo other variables can be derived from V956837;\n\nNow we have done all the calculations. Derived variables are:\nV956837 = 3;\nV021026 = 3;\n\nNow we have finished this problem. ANSWER:\nV956837, V021026\n", "role": "assistant" } ]

[ "V147802" ]

[ { "content": "<context>\nassign V693196 = V370724. assign V743810 = V357041. assign V982755 = V852605 + 1. assign V890082 = V766994 - 1. assign V142063 = V598299 + 1. assign V155212 = V672026. assign V268555 = V963687 + 1. assign V728925 = V322120 + 1. assign V549412 = V994581. assign V753800 = V687802 + 1. assign V239443 = V852605 + 1. assign V681307 = V929567 - 1. assign V432555 = V753800 - 1. assign V302048 = V753800 - 1. assign V431067 = V277164 + 1. assign V672775 = V700411 + 1. assign V505854 = V728925. assign V904894 = V734761. assign V521006 = V694458. assign V236492 = V432555. assign V323433 = V989939 - 1. assign V324010 = V913937. assign V868394 = V742225 - 1. assign V515516 = V457537 - 1. assign V814589 = V549412. assign V887175 = V982755. assign V598299 = V416661. assign V147802 = V764016 + 1. assign V784489 = V271801 - 1. assign V221397 = V963687 + 1. assign V542956 = V268555 + 1. assign V976825 = V936746 - 1. assign V187832 = V416661 - 1. assign V336502 = V429950 + 1. assign V177761 = V720388. assign V455608 = V731543. assign V733868 = V059436. assign V852605 = V687802. assign V795818 = V549697 + 1. assign V161327 = V416661. assign V501915 = V302048 - 1. assign V968254 = V187832 - 1. assign V791869 = V015429 - 1. assign V565044 = V359211. assign V894772 = V468581 - 1. assign V253063 = V547092. assign V900667 = V618828 - 1. assign V059436 = V416661. assign V331077 = V054448. assign V520633 = V868394 - 1. assign V853973 = V303375. assign V435959 = V753800 - 1. assign V685917 = V161327. assign V269797 = V976825 - 1. assign V465902 = V269797. assign V682059 = V766994. assign V504161 = V429950 - 1. assign V745198 = V855187 - 1. assign V957334 = V936746. assign V989939 = V416661 - 1. assign V559747 = V957334 - 1. assign V309060 = V982755 + 1. assign V855187 = V054448 - 1. assign V984905 = V356486 - 1. assign V356486 = V687802 - 1. assign V185012 = V956267 - 1. assign V007387 = V976825 - 1. assign V590802 = V277164 - 1. assign V913937 = V868394 + 1. assign V517115 = V254315 + 1. assign V087737 = V090722 - 1. assign V505269 = V982755. assign V929567 = V936746 - 1. assign V033849 = V416661 + 1. assign V383175 = V549289 - 1. assign V346910 = V515516. assign V763812 = V084016 + 1. assign V399186 = V791930 - 1. assign V297994 = V925692 - 1. assign V760276 = V685917 - 1. assign V131599 = V855187 + 1. assign V702502 = V618828 - 1. assign V131509 = V084016. assign V207859 = V272663. assign V093651 = V161327 + 1. assign V734761 = V457537 - 1. assign V552752 = V745198 + 1. assign V973217 = V430040. assign V054448 = V277164. assign V151972 = V590802. assign V491977 = V249048. assign V254315 = V976825 - 1. assign V691965 = V982755 + 1. assign V662155 = V161164 - 1. assign V359211 = V913937 + 1. assign V468581 = V590802 - 1. assign V256070 = V984905 + 1. assign V625576 = V802959 - 1. assign V429950 = V753800. assign V956267 = V324010 + 1. assign V859132 = V618828. assign V766994 = V430040. assign V031236 = V984905 - 1. assign V694458 = V855187 - 1. assign V764016 = 3. assign V728536 = V015429 + 1. assign V687802 = V700411. assign V161164 = V429950 - 1. assign V268825 = V963687 + 1. assign V667247 = V957334 + 1. assign V768543 = V015429 + 1. assign V674421 = V728925 + 1. assign V362621 = V268555 - 1. assign V742225 = V457537 - 1. assign V531299 = V064960. assign V731543 = V728925. assign V940785 = V087737. assign V357041 = V682059 + 1. assign V547092 = V766994. assign V936746 = V994581 + 1. assign V925692 = V956499 + 1. assign V771412 = V734761 - 1. assign V272740 = V542956 + 1. assign V370724 = V900667. assign V249048 = V268825 - 1. assign V802959 = V302048 + 1. assign V833247 = V672026 - 1. assign V379460 = V728925 + 1. assign V000443 = V728536 - 1. assign V166746 = V687802 + 1. assign V443569 = V734761 - 1. assign V316151 = V457537. assign V963687 = V700411. assign V113829 = V682059 + 1. assign V969832 = V687802 + 1. assign V549289 = V963687 + 1. assign V272663 = V254315 + 1. assign V783660 = V542956 + 1. assign V869922 = V429950 + 1. assign V277164 = V700411 + 1. assign V539214 = V753800 - 1. assign V015429 = V166746 - 1. assign V084016 = V682059. assign V720388 = V852605. assign V956499 = V682059 + 1. assign V865398 = V753800 - 1. assign V472541 = V852605 - 1. assign V271801 = V331077. assign V443796 = V254315 - 1. assign V183906 = V682059. assign V994581 = V753800 - 1. assign V090722 = V059436. assign V791930 = V472541 + 1. assign V457537 = V416661 - 1. assign V046558 = V855187 - 1. assign V322120 = V700411 + 1. assign V700411 = V416661 + 1. assign V828142 = V059436. assign V430040 = V618828 - 1. assign V618828 = V687802 - 1. assign V741498 = V956499 - 1. assign V303375 = V791869. assign V211958 = V277164 + 1. assign V343028 = V672775 + 1. assign V513982 = V059436. assign V136109 = V161327. assign V672026 = V059436 + 1. assign V068033 = V869922. assign V136114 = V151972 + 1. assign V549697 = V994581 + 1. assign V895027 = V672026 + 1. assign V064960 = V033849.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V693196 = V370724. assign V743810 = V357041. assign V982755 = V852605 + 1. assign V890082 = V766994 - 1. assign V142063 = V598299 + 1. assign V155212 = V672026. assign V268555 = V963687 + 1. assign V728925 = V322120 + 1. assign V549412 = V994581. assign V753800 = V687802 + 1. assign V239443 = V852605 + 1. assign V681307 = V929567 - 1. assign V432555 = V753800 - 1. assign V302048 = V753800 - 1. assign V431067 = V277164 + 1. assign V672775 = V700411 + 1. assign V505854 = V728925. assign V904894 = V734761. assign V521006 = V694458. assign V236492 = V432555. assign V323433 = V989939 - 1. assign V324010 = V913937. assign V868394 = V742225 - 1. assign V515516 = V457537 - 1. assign V814589 = V549412. assign V887175 = V982755. assign V598299 = V416661. assign V147802 = V764016 + 1. assign V784489 = V271801 - 1. assign V221397 = V963687 + 1. assign V542956 = V268555 + 1. assign V976825 = V936746 - 1. assign V187832 = V416661 - 1. assign V336502 = V429950 + 1. assign V177761 = V720388. assign V455608 = V731543. assign V733868 = V059436. assign V852605 = V687802. assign V795818 = V549697 + 1. assign V161327 = V416661. assign V501915 = V302048 - 1. assign V968254 = V187832 - 1. assign V791869 = V015429 - 1. assign V565044 = V359211. assign V894772 = V468581 - 1. assign V253063 = V547092. assign V900667 = V618828 - 1. assign V059436 = V416661. assign V331077 = V054448. assign V520633 = V868394 - 1. assign V853973 = V303375. assign V435959 = V753800 - 1. assign V685917 = V161327. assign V269797 = V976825 - 1. assign V465902 = V269797. assign V682059 = V766994. assign V504161 = V429950 - 1. assign V745198 = V855187 - 1. assign V957334 = V936746. assign V989939 = V416661 - 1. assign V559747 = V957334 - 1. assign V309060 = V982755 + 1. assign V855187 = V054448 - 1. assign V984905 = V356486 - 1. assign V356486 = V687802 - 1. assign V185012 = V956267 - 1. assign V007387 = V976825 - 1. assign V590802 = V277164 - 1. assign V913937 = V868394 + 1. assign V517115 = V254315 + 1. assign V087737 = V090722 - 1. assign V505269 = V982755. assign V929567 = V936746 - 1. assign V033849 = V416661 + 1. assign V383175 = V549289 - 1. assign V346910 = V515516. assign V763812 = V084016 + 1. assign V399186 = V791930 - 1. assign V297994 = V925692 - 1. assign V760276 = V685917 - 1. assign V131599 = V855187 + 1. assign V702502 = V618828 - 1. assign V131509 = V084016. assign V207859 = V272663. assign V093651 = V161327 + 1. assign V734761 = V457537 - 1. assign V552752 = V745198 + 1. assign V973217 = V430040. assign V054448 = V277164. assign V151972 = V590802. assign V491977 = V249048. assign V254315 = V976825 - 1. assign V691965 = V982755 + 1. assign V662155 = V161164 - 1. assign V359211 = V913937 + 1. assign V468581 = V590802 - 1. assign V256070 = V984905 + 1. assign V625576 = V802959 - 1. assign V429950 = V753800. assign V956267 = V324010 + 1. assign V859132 = V618828. assign V766994 = V430040. assign V031236 = V984905 - 1. assign V694458 = V855187 - 1. assign V764016 = 3. assign V728536 = V015429 + 1. assign V687802 = V700411. assign V161164 = V429950 - 1. assign V268825 = V963687 + 1. assign V667247 = V957334 + 1. assign V768543 = V015429 + 1. assign V674421 = V728925 + 1. assign V362621 = V268555 - 1. assign V742225 = V457537 - 1. assign V531299 = V064960. assign V731543 = V728925. assign V940785 = V087737. assign V357041 = V682059 + 1. assign V547092 = V766994. assign V936746 = V994581 + 1. assign V925692 = V956499 + 1. assign V771412 = V734761 - 1. assign V272740 = V542956 + 1. assign V370724 = V900667. assign V249048 = V268825 - 1. assign V802959 = V302048 + 1. assign V833247 = V672026 - 1. assign V379460 = V728925 + 1. assign V000443 = V728536 - 1. assign V166746 = V687802 + 1. assign V443569 = V734761 - 1. assign V316151 = V457537. assign V963687 = V700411. assign V113829 = V682059 + 1. assign V969832 = V687802 + 1. assign V549289 = V963687 + 1. assign V272663 = V254315 + 1. assign V783660 = V542956 + 1. assign V869922 = V429950 + 1. assign V277164 = V700411 + 1. assign V539214 = V753800 - 1. assign V015429 = V166746 - 1. assign V084016 = V682059. assign V720388 = V852605. assign V956499 = V682059 + 1. assign V865398 = V753800 - 1. assign V472541 = V852605 - 1. assign V271801 = V331077. assign V443796 = V254315 - 1. assign V183906 = V682059. assign V994581 = V753800 - 1. assign V090722 = V059436. assign V791930 = V472541 + 1. assign V457537 = V416661 - 1. assign V046558 = V855187 - 1. assign V322120 = V700411 + 1. assign V700411 = V416661 + 1. assign V828142 = V059436. assign V430040 = V618828 - 1. assign V618828 = V687802 - 1. assign V741498 = V956499 - 1. assign V303375 = V791869. assign V211958 = V277164 + 1. assign V343028 = V672775 + 1. assign V513982 = V059436. assign V136109 = V161327. assign V672026 = V059436 + 1. assign V068033 = V869922. assign V136114 = V151972 + 1. assign V549697 = V994581 + 1. assign V895027 = V672026 + 1. assign V064960 = V033849.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV764016 = 3;\n\nFrom these direct assignment(s), we have: \nV147802 = V764016 + 1 = 3 + 1 =4;\nNo other variables can be derived from V147802;\nNo other variables can be derived from V764016;\n\nNow we have done all the calculations. Derived variables are:\nV764016 = 3;\nV147802 = 4;\n\nNow we have finished this problem. ANSWER:\nV147802\n", "role": "assistant" } ]

[ "V716946", "V420863" ]

[ { "content": "<context>\nassign V215603 = V379435 - 1. assign V155808 = V500332 - 1. assign V274577 = V327038. assign V859376 = V828191 + 1. assign V370166 = V502174. assign V558129 = V195619 - 1. assign V489108 = V828191 + 1. assign V693113 = V852358. assign V064320 = V582598 + 1. assign V195619 = V582598. assign V586527 = V561158. assign V753354 = V245409 + 1. assign V093705 = V994918 + 1. assign V341653 = V952804. assign V405933 = V311571 + 1. assign V762836 = V994918. assign V069805 = V699194 - 1. assign V151319 = V068430. assign V500332 = V558129. assign V379435 = V891103 + 1. assign V806099 = V873068 - 1. assign V879557 = V060059. assign V446457 = V637028 + 1. assign V406066 = V601022. assign V161439 = V578269. assign V976934 = V861690 - 1. assign V596731 = V321361. assign V178459 = V502174 - 1. assign V401213 = V321361 - 1. assign V456436 = V637028 - 1. assign V694162 = V502174. assign V463570 = V693113 - 1. assign V848662 = V952804 + 1. assign V259494 = V048499 + 1. assign V246078 = V151319 - 1. assign V043204 = V441815 - 1. assign V327038 = V601022 - 1. assign V048499 = V990735 + 1. assign V999380 = V195619 - 1. assign V561158 = V320679. assign V694986 = V828191. assign V873068 = V195619. assign V891533 = V947334. assign V504873 = V293088 - 1. assign V786040 = V203487. assign V536175 = V135718 + 1. assign V728269 = V827202 - 1. assign V644846 = V710111 - 1. assign V754902 = V828191 + 1. assign V827202 = V933690. assign V745595 = V446457. assign V502174 = V828191 + 1. assign V250739 = V859376 + 1. assign V799193 = V365434 - 1. assign V420863 = V716946. assign V691124 = V245409 - 1. assign V578269 = V710111 + 1. assign V852358 = V122954 + 1. assign V601022 = V828191 + 1. assign V848151 = V999380. assign V694446 = V048499. assign V147033 = V762836 - 1. assign V393878 = V873068 + 1. assign V744220 = V321361 - 1. assign V079187 = V489108 + 1. assign V516693 = V446457 - 1. assign V074561 = V446457 - 1. assign V588379 = V694986 + 1. assign V998173 = V265742 - 1. assign V947334 = V129813 + 1. assign V272079 = V406066 + 1. assign V766268 = V043204 - 1. assign V698302 = V985209 - 1. assign V861839 = V265742 - 1. assign V637028 = V588379 + 1. assign V926062 = V990735. assign V895686 = V250739 + 1. assign V811175 = V828191 - 1. assign V578290 = V500332 - 1. assign V054887 = V116462 - 1. assign V331124 = V895686 - 1. assign V615261 = V811175. assign V455261 = V060059 + 1. assign V129813 = V195619 + 1. assign V247311 = V015204. assign V990735 = V994918. assign V268922 = V861690. assign V631558 = V851206 + 1. assign V780592 = V766965 - 1. assign V516639 = V952804. assign V933690 = V754902 - 1. assign V293088 = V582598. assign V203487 = V725185 + 1. assign V390009 = V861690. assign V710111 = V933690. assign V994918 = V588379. assign V441815 = V162888 + 1. assign V120792 = V203487 + 1. assign V725185 = V441815 + 1. assign V068430 = V504873. assign V891550 = V079187. assign V037130 = V268922. assign V600174 = V151319. assign V447710 = V766965 + 1. assign V784640 = V259494 + 1. assign V122954 = V455261. assign V365434 = V379435 + 1. assign V226723 = V259494 - 1. assign V964915 = V806099. assign V860290 = V268922. assign V766965 = V489108 + 1. assign V903670 = V060059 - 1. assign V827425 = V806099. assign V889101 = V694986 + 1. assign V311571 = V015204 + 1. assign V514047 = V879557. assign V582598 = V828191. assign V268809 = V762836 + 1. assign V135718 = V500332 + 1. assign V561772 = V691124 - 1. assign V855886 = V393878. assign V592191 = V811175. assign V015204 = V268809 - 1. assign V784010 = V713261 + 1. assign V722738 = V691124 - 1. assign V671639 = V259494 + 1. assign V781967 = V895686 - 1. assign V405975 = V155808 - 1. assign V569595 = V516693. assign V060059 = V811175 - 1. assign V716946 = 3. assign V116462 = V713261 + 1. assign V245409 = V195619. assign V714645 = V293088 + 1. assign V489898 = V268809 - 1. assign V289724 = V068430 - 1. assign V157167 = V644846 - 1. assign V316248 = V999380 + 1. assign V891103 = V162888 + 1. assign V162888 = V588379 - 1. assign V531715 = V588379 + 1. assign V555499 = V754902. assign V886154 = V799193. assign V699194 = V555499. assign V265742 = V558129 + 1. assign V861690 = V489108 - 1. assign V851206 = V861690. assign V321361 = V582598. assign V436900 = V713261. assign V146341 = V321361 - 1. assign V533402 = V694162. assign V223106 = V015204 - 1. assign V802492 = V533402. assign V320679 = V048499 + 1. assign V660563 = V762836 + 1. assign V671885 = V327038. assign V027811 = V766965 + 1. assign V322570 = V320679. assign V925316 = V694986. assign V985209 = V379435 - 1. assign V952804 = V891103 + 1. assign V713261 = V327038. assign V681874 = V891550 + 1. assign V837055 = V859376. assign V020419 = V533402 - 1. assign V509086 = V531715. assign V504268 = V714645. assign V779372 = V215603 - 1. assign V082894 = V660563 - 1. assign V580408 = V811175. assign V079537 = V592191. assign V266775 = V762836 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V215603 = V379435 - 1. assign V155808 = V500332 - 1. assign V274577 = V327038. assign V859376 = V828191 + 1. assign V370166 = V502174. assign V558129 = V195619 - 1. assign V489108 = V828191 + 1. assign V693113 = V852358. assign V064320 = V582598 + 1. assign V195619 = V582598. assign V586527 = V561158. assign V753354 = V245409 + 1. assign V093705 = V994918 + 1. assign V341653 = V952804. assign V405933 = V311571 + 1. assign V762836 = V994918. assign V069805 = V699194 - 1. assign V151319 = V068430. assign V500332 = V558129. assign V379435 = V891103 + 1. assign V806099 = V873068 - 1. assign V879557 = V060059. assign V446457 = V637028 + 1. assign V406066 = V601022. assign V161439 = V578269. assign V976934 = V861690 - 1. assign V596731 = V321361. assign V178459 = V502174 - 1. assign V401213 = V321361 - 1. assign V456436 = V637028 - 1. assign V694162 = V502174. assign V463570 = V693113 - 1. assign V848662 = V952804 + 1. assign V259494 = V048499 + 1. assign V246078 = V151319 - 1. assign V043204 = V441815 - 1. assign V327038 = V601022 - 1. assign V048499 = V990735 + 1. assign V999380 = V195619 - 1. assign V561158 = V320679. assign V694986 = V828191. assign V873068 = V195619. assign V891533 = V947334. assign V504873 = V293088 - 1. assign V786040 = V203487. assign V536175 = V135718 + 1. assign V728269 = V827202 - 1. assign V644846 = V710111 - 1. assign V754902 = V828191 + 1. assign V827202 = V933690. assign V745595 = V446457. assign V502174 = V828191 + 1. assign V250739 = V859376 + 1. assign V799193 = V365434 - 1. assign V420863 = V716946. assign V691124 = V245409 - 1. assign V578269 = V710111 + 1. assign V852358 = V122954 + 1. assign V601022 = V828191 + 1. assign V848151 = V999380. assign V694446 = V048499. assign V147033 = V762836 - 1. assign V393878 = V873068 + 1. assign V744220 = V321361 - 1. assign V079187 = V489108 + 1. assign V516693 = V446457 - 1. assign V074561 = V446457 - 1. assign V588379 = V694986 + 1. assign V998173 = V265742 - 1. assign V947334 = V129813 + 1. assign V272079 = V406066 + 1. assign V766268 = V043204 - 1. assign V698302 = V985209 - 1. assign V861839 = V265742 - 1. assign V637028 = V588379 + 1. assign V926062 = V990735. assign V895686 = V250739 + 1. assign V811175 = V828191 - 1. assign V578290 = V500332 - 1. assign V054887 = V116462 - 1. assign V331124 = V895686 - 1. assign V615261 = V811175. assign V455261 = V060059 + 1. assign V129813 = V195619 + 1. assign V247311 = V015204. assign V990735 = V994918. assign V268922 = V861690. assign V631558 = V851206 + 1. assign V780592 = V766965 - 1. assign V516639 = V952804. assign V933690 = V754902 - 1. assign V293088 = V582598. assign V203487 = V725185 + 1. assign V390009 = V861690. assign V710111 = V933690. assign V994918 = V588379. assign V441815 = V162888 + 1. assign V120792 = V203487 + 1. assign V725185 = V441815 + 1. assign V068430 = V504873. assign V891550 = V079187. assign V037130 = V268922. assign V600174 = V151319. assign V447710 = V766965 + 1. assign V784640 = V259494 + 1. assign V122954 = V455261. assign V365434 = V379435 + 1. assign V226723 = V259494 - 1. assign V964915 = V806099. assign V860290 = V268922. assign V766965 = V489108 + 1. assign V903670 = V060059 - 1. assign V827425 = V806099. assign V889101 = V694986 + 1. assign V311571 = V015204 + 1. assign V514047 = V879557. assign V582598 = V828191. assign V268809 = V762836 + 1. assign V135718 = V500332 + 1. assign V561772 = V691124 - 1. assign V855886 = V393878. assign V592191 = V811175. assign V015204 = V268809 - 1. assign V784010 = V713261 + 1. assign V722738 = V691124 - 1. assign V671639 = V259494 + 1. assign V781967 = V895686 - 1. assign V405975 = V155808 - 1. assign V569595 = V516693. assign V060059 = V811175 - 1. assign V716946 = 3. assign V116462 = V713261 + 1. assign V245409 = V195619. assign V714645 = V293088 + 1. assign V489898 = V268809 - 1. assign V289724 = V068430 - 1. assign V157167 = V644846 - 1. assign V316248 = V999380 + 1. assign V891103 = V162888 + 1. assign V162888 = V588379 - 1. assign V531715 = V588379 + 1. assign V555499 = V754902. assign V886154 = V799193. assign V699194 = V555499. assign V265742 = V558129 + 1. assign V861690 = V489108 - 1. assign V851206 = V861690. assign V321361 = V582598. assign V436900 = V713261. assign V146341 = V321361 - 1. assign V533402 = V694162. assign V223106 = V015204 - 1. assign V802492 = V533402. assign V320679 = V048499 + 1. assign V660563 = V762836 + 1. assign V671885 = V327038. assign V027811 = V766965 + 1. assign V322570 = V320679. assign V925316 = V694986. assign V985209 = V379435 - 1. assign V952804 = V891103 + 1. assign V713261 = V327038. assign V681874 = V891550 + 1. assign V837055 = V859376. assign V020419 = V533402 - 1. assign V509086 = V531715. assign V504268 = V714645. assign V779372 = V215603 - 1. assign V082894 = V660563 - 1. assign V580408 = V811175. assign V079537 = V592191. assign V266775 = V762836 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV716946 = 3;\n\nFrom these direct assignment(s), we have: \nV420863 = V716946 = 3;\nNo other variables can be derived from V420863;\nNo other variables can be derived from V716946;\n\nNow we have done all the calculations. Derived variables are:\nV716946 = 3;\nV420863 = 3;\n\nNow we have finished this problem. ANSWER:\nV716946, V420863\n", "role": "assistant" } ]

[ "V279125", "V693249" ]

[ { "content": "<context>\nassign V454469 = V077722 + 1. assign V631406 = V283029 - 1. assign V418254 = V329684 + 1. assign V356370 = V907412 - 1. assign V641362 = V502919 - 1. assign V260083 = V206604. assign V754278 = V901443 + 1. assign V593604 = V587371. assign V600511 = V320087 - 1. assign V502919 = V988032 - 1. assign V100867 = V077722 + 1. assign V981142 = V796013 - 1. assign V907412 = V283029. assign V057477 = V318535 + 1. assign V535841 = V147981. assign V662077 = V400211. assign V676493 = V077722. assign V977099 = V960382. assign V609434 = V715115. assign V692669 = V901443 - 1. assign V951068 = V987006 - 1. assign V981117 = V593604 - 1. assign V821255 = V977099 - 1. assign V855787 = V662077 - 1. assign V107076 = V565702. assign V803425 = V508647 + 1. assign V893362 = V636056 - 1. assign V976992 = V206604. assign V987006 = V901443. assign V629080 = V200776 + 1. assign V641190 = V140085. assign V901443 = V356370. assign V033696 = V483822 - 1. assign V508647 = V160745 - 1. assign V561997 = V525968. assign V497934 = V821255 - 1. assign V752110 = V523427. assign V937511 = V672428 + 1. assign V107895 = V625696 + 1. assign V636056 = V356370 + 1. assign V398881 = V695450. assign V206604 = V705671 + 1. assign V823818 = V988032 + 1. assign V702133 = V407063. assign V573230 = V483822 - 1. assign V283029 = V200776 - 1. assign V659231 = V636056 - 1. assign V560876 = V960382 - 1. assign V185117 = V786878. assign V482676 = V400211 + 1. assign V167721 = V283029 + 1. assign V901407 = V978111. assign V684692 = V823818 + 1. assign V738929 = V403410. assign V318535 = V659231 - 1. assign V953676 = V672428 - 1. assign V473229 = V566757. assign V120570 = V676493. assign V584066 = V659231 - 1. assign V295284 = V695450 - 1. assign V642347 = V774706 - 1. assign V915386 = V907412 - 1. assign V587371 = V981142 - 1. assign V219039 = V705671 + 1. assign V059825 = V821255 - 1. assign V246134 = V676493 + 1. assign V075689 = V153406. assign V246420 = V120570 + 1. assign V488351 = V483822 + 1. assign V329684 = V117192. assign V525968 = V584066 + 1. assign V569963 = V038295 + 1. assign V625696 = V659231 + 1. assign V972495 = V380005. assign V220188 = V676493 + 1. assign V139374 = V565702. assign V950391 = V953676. assign V483822 = V043304 - 1. assign V515824 = V356370 - 1. assign V123442 = V629080 + 1. assign V988032 = V356370 - 1. assign V355480 = V349342 - 1. assign V556753 = V855787. assign V505933 = V988032. assign V672428 = V692669 + 1. assign V108132 = V901443 + 1. assign V674507 = V316963. assign V566757 = V117192. assign V025720 = V219690 + 1. assign V463714 = V987006 + 1. assign V130922 = V627772. assign V163306 = V636056 - 1. assign V153406 = V566757 + 1. assign V523427 = V316963 + 1. assign V783962 = V177786. assign V907877 = V978111 - 1. assign V483890 = V316963 + 1. assign V365483 = V976992 - 1. assign V863532 = V692669 - 1. assign V105034 = V043304 - 1. assign V400211 = V523427 + 1. assign V219690 = V796013. assign V045694 = V901443. assign V978111 = V200776 - 1. assign V117192 = V283029 + 1. assign V960382 = V805085 - 1. assign V320087 = V960382. assign V728809 = V593604 + 1. assign V980402 = V659231. assign V742281 = V692669 - 1. assign V407063 = V901443 + 1. assign V034876 = V450378 + 1. assign V714015 = V138999. assign V800981 = V988032 - 1. assign V774706 = V786878. assign V145865 = V075689 + 1. assign V116025 = V349342 - 1. assign V447523 = V937511 - 1. assign V903442 = V318535 + 1. assign V681177 = V702133 + 1. assign V450378 = V584066. assign V065065 = V038295. assign V147981 = V742281. assign V873320 = V508647. assign V279125 = 4. assign V121317 = V981142 + 1. assign V760990 = V153406 - 1. assign V038295 = V283029 + 1. assign V294220 = V901443. assign V151406 = V593604 - 1. assign V316963 = V200776 + 1. assign V627772 = V200776. assign V695450 = V684692. assign V796013 = V901443 + 1. assign V805085 = V117192 + 1. assign V705671 = V960382 + 1. assign V380005 = V077722. assign V037453 = V893362 - 1. assign V605840 = V972495 - 1. assign V693249 = V279125. assign V715115 = V907412 - 1. assign V104913 = V565702 + 1. assign V518264 = V163306 + 1. assign V325903 = V077722 - 1. assign V043304 = V283029 - 1. assign V349342 = V167721 + 1. assign V659348 = V587371 + 1. assign V244908 = V329684 + 1. assign V112565 = V283029. assign V077722 = V200776 - 1. assign V770378 = V893362 - 1. assign V463115 = V100867 - 1. assign V802156 = V659231. assign V669506 = V356370 + 1. assign V140085 = V754278. assign V578327 = V627772 - 1. assign V420584 = V038295 + 1. assign V565702 = V200776 - 1. assign V600348 = V587371 - 1. assign V830699 = V463714. assign V844385 = V523427. assign V786878 = V105034 + 1. assign V502242 = V349342. assign V403410 = V318535 - 1. assign V138999 = V117192 - 1. assign V067095 = V283029 - 1. assign V867364 = V525968. assign V668610 = V105034. assign V160745 = V034876. assign V755962 = V981117. assign V634007 = V138999. assign V177786 = V523427 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V454469 = V077722 + 1. assign V631406 = V283029 - 1. assign V418254 = V329684 + 1. assign V356370 = V907412 - 1. assign V641362 = V502919 - 1. assign V260083 = V206604. assign V754278 = V901443 + 1. assign V593604 = V587371. assign V600511 = V320087 - 1. assign V502919 = V988032 - 1. assign V100867 = V077722 + 1. assign V981142 = V796013 - 1. assign V907412 = V283029. assign V057477 = V318535 + 1. assign V535841 = V147981. assign V662077 = V400211. assign V676493 = V077722. assign V977099 = V960382. assign V609434 = V715115. assign V692669 = V901443 - 1. assign V951068 = V987006 - 1. assign V981117 = V593604 - 1. assign V821255 = V977099 - 1. assign V855787 = V662077 - 1. assign V107076 = V565702. assign V803425 = V508647 + 1. assign V893362 = V636056 - 1. assign V976992 = V206604. assign V987006 = V901443. assign V629080 = V200776 + 1. assign V641190 = V140085. assign V901443 = V356370. assign V033696 = V483822 - 1. assign V508647 = V160745 - 1. assign V561997 = V525968. assign V497934 = V821255 - 1. assign V752110 = V523427. assign V937511 = V672428 + 1. assign V107895 = V625696 + 1. assign V636056 = V356370 + 1. assign V398881 = V695450. assign V206604 = V705671 + 1. assign V823818 = V988032 + 1. assign V702133 = V407063. assign V573230 = V483822 - 1. assign V283029 = V200776 - 1. assign V659231 = V636056 - 1. assign V560876 = V960382 - 1. assign V185117 = V786878. assign V482676 = V400211 + 1. assign V167721 = V283029 + 1. assign V901407 = V978111. assign V684692 = V823818 + 1. assign V738929 = V403410. assign V318535 = V659231 - 1. assign V953676 = V672428 - 1. assign V473229 = V566757. assign V120570 = V676493. assign V584066 = V659231 - 1. assign V295284 = V695450 - 1. assign V642347 = V774706 - 1. assign V915386 = V907412 - 1. assign V587371 = V981142 - 1. assign V219039 = V705671 + 1. assign V059825 = V821255 - 1. assign V246134 = V676493 + 1. assign V075689 = V153406. assign V246420 = V120570 + 1. assign V488351 = V483822 + 1. assign V329684 = V117192. assign V525968 = V584066 + 1. assign V569963 = V038295 + 1. assign V625696 = V659231 + 1. assign V972495 = V380005. assign V220188 = V676493 + 1. assign V139374 = V565702. assign V950391 = V953676. assign V483822 = V043304 - 1. assign V515824 = V356370 - 1. assign V123442 = V629080 + 1. assign V988032 = V356370 - 1. assign V355480 = V349342 - 1. assign V556753 = V855787. assign V505933 = V988032. assign V672428 = V692669 + 1. assign V108132 = V901443 + 1. assign V674507 = V316963. assign V566757 = V117192. assign V025720 = V219690 + 1. assign V463714 = V987006 + 1. assign V130922 = V627772. assign V163306 = V636056 - 1. assign V153406 = V566757 + 1. assign V523427 = V316963 + 1. assign V783962 = V177786. assign V907877 = V978111 - 1. assign V483890 = V316963 + 1. assign V365483 = V976992 - 1. assign V863532 = V692669 - 1. assign V105034 = V043304 - 1. assign V400211 = V523427 + 1. assign V219690 = V796013. assign V045694 = V901443. assign V978111 = V200776 - 1. assign V117192 = V283029 + 1. assign V960382 = V805085 - 1. assign V320087 = V960382. assign V728809 = V593604 + 1. assign V980402 = V659231. assign V742281 = V692669 - 1. assign V407063 = V901443 + 1. assign V034876 = V450378 + 1. assign V714015 = V138999. assign V800981 = V988032 - 1. assign V774706 = V786878. assign V145865 = V075689 + 1. assign V116025 = V349342 - 1. assign V447523 = V937511 - 1. assign V903442 = V318535 + 1. assign V681177 = V702133 + 1. assign V450378 = V584066. assign V065065 = V038295. assign V147981 = V742281. assign V873320 = V508647. assign V279125 = 4. assign V121317 = V981142 + 1. assign V760990 = V153406 - 1. assign V038295 = V283029 + 1. assign V294220 = V901443. assign V151406 = V593604 - 1. assign V316963 = V200776 + 1. assign V627772 = V200776. assign V695450 = V684692. assign V796013 = V901443 + 1. assign V805085 = V117192 + 1. assign V705671 = V960382 + 1. assign V380005 = V077722. assign V037453 = V893362 - 1. assign V605840 = V972495 - 1. assign V693249 = V279125. assign V715115 = V907412 - 1. assign V104913 = V565702 + 1. assign V518264 = V163306 + 1. assign V325903 = V077722 - 1. assign V043304 = V283029 - 1. assign V349342 = V167721 + 1. assign V659348 = V587371 + 1. assign V244908 = V329684 + 1. assign V112565 = V283029. assign V077722 = V200776 - 1. assign V770378 = V893362 - 1. assign V463115 = V100867 - 1. assign V802156 = V659231. assign V669506 = V356370 + 1. assign V140085 = V754278. assign V578327 = V627772 - 1. assign V420584 = V038295 + 1. assign V565702 = V200776 - 1. assign V600348 = V587371 - 1. assign V830699 = V463714. assign V844385 = V523427. assign V786878 = V105034 + 1. assign V502242 = V349342. assign V403410 = V318535 - 1. assign V138999 = V117192 - 1. assign V067095 = V283029 - 1. assign V867364 = V525968. assign V668610 = V105034. assign V160745 = V034876. assign V755962 = V981117. assign V634007 = V138999. assign V177786 = V523427 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV279125 = 4;\n\nFrom these direct assignment(s), we have: \nV693249 = V279125 = 4;\nNo other variables can be derived from V693249;\nNo other variables can be derived from V279125;\n\nNow we have done all the calculations. Derived variables are:\nV279125 = 4;\nV693249 = 4;\n\nNow we have finished this problem. ANSWER:\nV279125, V693249\n", "role": "assistant" } ]

[ "V433813" ]

[ { "content": "<context>\nassign V955507 = V468896 - 1. assign V365388 = V433813 + 1. assign V606786 = V862498 + 1. assign V858292 = V151573 - 1. assign V981335 = V138140. assign V080761 = V235707. assign V442545 = V778694 + 1. assign V087284 = V963125. assign V502634 = V235707. assign V452225 = V658066. assign V773189 = V221557 - 1. assign V697922 = V229498. assign V906435 = V151573. assign V433813 = 0. assign V841339 = V765099 + 1. assign V544138 = V921434 + 1. assign V765099 = V995596 - 1. assign V577603 = V306737 - 1. assign V160977 = V055950 + 1. assign V128689 = V184448 + 1. assign V581966 = V224841 + 1. assign V639894 = V606786 - 1. assign V679981 = V948840. assign V217228 = V074653. assign V247512 = V138140. assign V133116 = V862498 + 1. assign V686158 = V006698. assign V257857 = V247512 - 1. assign V235707 = V572388. assign V565627 = V080761 - 1. assign V002535 = V163025 + 1. assign V973374 = V420024 - 1. assign V916944 = V577603 - 1. assign V584886 = V737067 + 1. assign V716372 = V138140 - 1. assign V965189 = V906435 + 1. assign V509069 = V594787. assign V225913 = V278393. assign V943621 = V658066 + 1. assign V924378 = V765099 - 1. assign V594787 = V581966 - 1. assign V755243 = V103370 + 1. assign V878776 = V943621 + 1. assign V749124 = V085574. assign V184448 = V442545 - 1. assign V739685 = V055950. assign V366048 = V386627 + 1. assign V195436 = V229498. assign V177091 = V080761. assign V938786 = V966559 + 1. assign V681483 = V306737 + 1. assign V581345 = V493627 - 1. assign V015637 = V733763 + 1. assign V220202 = V160849 + 1. assign V221557 = V608230. assign V891031 = V749124 + 1. assign V889197 = V278393 - 1. assign V165474 = V591377. assign V837330 = V493994 - 1. assign V458693 = V644005. assign V598153 = V431109. assign V426024 = V431109 + 1. assign V948840 = V037566. assign V711420 = V778694. assign V807873 = V441905 - 1. assign V706410 = V584886 - 1. assign V468896 = V572388 - 1. assign V464507 = V591377 + 1. assign V692920 = V145171. assign V737067 = V858292 - 1. assign V357493 = V755243 + 1. assign V296401 = V862498. assign V229498 = V765099. assign V921434 = V644005. assign V015853 = V604044 + 1. assign V657223 = V247512. assign V940149 = V644005 + 1. assign V160849 = V591377. assign V452845 = V392082 + 1. assign V106690 = V940149 + 1. assign V477973 = V296401. assign V138140 = V862498. assign V219692 = V426024 + 1. assign V152848 = V606786 - 1. assign V608230 = V103370. assign V449241 = V851012. assign V492389 = V509069 + 1. assign V074653 = V160849 - 1. assign V591377 = V656642 - 1. assign V224841 = V006698 + 1. assign V757222 = V386627 - 1. assign V025121 = V681483 - 1. assign V394651 = V981335 + 1. assign V082985 = V296401 + 1. assign V049545 = V160849 + 1. assign V803268 = V681483. assign V068937 = V441905 + 1. assign V541045 = V468896. assign V805244 = V778694. assign V577714 = V074653 + 1. assign V997482 = V906435. assign V227907 = V477973. assign V995596 = V103370 - 1. assign V188954 = V257857. assign V604044 = V392082. assign V100583 = V858292. assign V801479 = V581966 + 1. assign V851012 = V778694 - 1. assign V386627 = V581966. assign V764686 = V686158 + 1. assign V873444 = V778694 - 1. assign V905119 = V188179 + 1. assign V493994 = V639894 - 1. assign V441905 = V658066 + 1. assign V270823 = V082881 - 1. assign V420024 = V518751 + 1. assign V778694 = V458693. assign V537386 = V492389. assign V729057 = V441905 + 1. assign V724668 = V995596 - 1. assign V767858 = V707827 - 1. assign V145171 = V188179. assign V055950 = V325758 + 1. assign V862498 = V572388 + 1. assign V458323 = V235707 + 1. assign V306737 = V464507 + 1. assign V006698 = V572388. assign V290337 = V392082 - 1. assign V332438 = V606786 + 1. assign V188179 = V229498 - 1. assign V037566 = V468896. assign V493627 = V103370 + 1. assign V572388 = V458693. assign V922833 = V257857. assign V462218 = V165474 - 1. assign V278393 = V851012. assign V325758 = V441905 - 1. assign V978691 = V860205. assign V882151 = V572388 - 1. assign V821838 = V002535 - 1. assign V976235 = V442545. assign V963125 = V851012 + 1. assign V599799 = V151573 - 1. assign V163025 = V434943. assign V085574 = V306737. assign V354967 = V296401 + 1. assign V203907 = V807873. assign V442158 = V773189 + 1. assign V382708 = V644005 - 1. assign V694927 = V657223 - 1. assign V151573 = V572388. assign V407820 = V085574 + 1. assign V732170 = V584886. assign V103370 = V644005. assign V622792 = V468896. assign V392082 = V981335 - 1. assign V707827 = V862498. assign V431109 = V458693 - 1. assign V228563 = V468896 - 1. assign V658066 = V235707. assign V733763 = V087284. assign V860205 = V656642 + 1. assign V518751 = V606786 - 1. assign V165393 = V221557. assign V556938 = V803268 + 1. assign V966559 = V082985 - 1. assign V927012 = V656642. assign V767343 = V145171 - 1. assign V656642 = V468896 + 1. assign V434943 = V732170 - 1. assign V082881 = V639894. assign V399432 = V458693 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V955507 = V468896 - 1. assign V365388 = V433813 + 1. assign V606786 = V862498 + 1. assign V858292 = V151573 - 1. assign V981335 = V138140. assign V080761 = V235707. assign V442545 = V778694 + 1. assign V087284 = V963125. assign V502634 = V235707. assign V452225 = V658066. assign V773189 = V221557 - 1. assign V697922 = V229498. assign V906435 = V151573. assign V433813 = 0. assign V841339 = V765099 + 1. assign V544138 = V921434 + 1. assign V765099 = V995596 - 1. assign V577603 = V306737 - 1. assign V160977 = V055950 + 1. assign V128689 = V184448 + 1. assign V581966 = V224841 + 1. assign V639894 = V606786 - 1. assign V679981 = V948840. assign V217228 = V074653. assign V247512 = V138140. assign V133116 = V862498 + 1. assign V686158 = V006698. assign V257857 = V247512 - 1. assign V235707 = V572388. assign V565627 = V080761 - 1. assign V002535 = V163025 + 1. assign V973374 = V420024 - 1. assign V916944 = V577603 - 1. assign V584886 = V737067 + 1. assign V716372 = V138140 - 1. assign V965189 = V906435 + 1. assign V509069 = V594787. assign V225913 = V278393. assign V943621 = V658066 + 1. assign V924378 = V765099 - 1. assign V594787 = V581966 - 1. assign V755243 = V103370 + 1. assign V878776 = V943621 + 1. assign V749124 = V085574. assign V184448 = V442545 - 1. assign V739685 = V055950. assign V366048 = V386627 + 1. assign V195436 = V229498. assign V177091 = V080761. assign V938786 = V966559 + 1. assign V681483 = V306737 + 1. assign V581345 = V493627 - 1. assign V015637 = V733763 + 1. assign V220202 = V160849 + 1. assign V221557 = V608230. assign V891031 = V749124 + 1. assign V889197 = V278393 - 1. assign V165474 = V591377. assign V837330 = V493994 - 1. assign V458693 = V644005. assign V598153 = V431109. assign V426024 = V431109 + 1. assign V948840 = V037566. assign V711420 = V778694. assign V807873 = V441905 - 1. assign V706410 = V584886 - 1. assign V468896 = V572388 - 1. assign V464507 = V591377 + 1. assign V692920 = V145171. assign V737067 = V858292 - 1. assign V357493 = V755243 + 1. assign V296401 = V862498. assign V229498 = V765099. assign V921434 = V644005. assign V015853 = V604044 + 1. assign V657223 = V247512. assign V940149 = V644005 + 1. assign V160849 = V591377. assign V452845 = V392082 + 1. assign V106690 = V940149 + 1. assign V477973 = V296401. assign V138140 = V862498. assign V219692 = V426024 + 1. assign V152848 = V606786 - 1. assign V608230 = V103370. assign V449241 = V851012. assign V492389 = V509069 + 1. assign V074653 = V160849 - 1. assign V591377 = V656642 - 1. assign V224841 = V006698 + 1. assign V757222 = V386627 - 1. assign V025121 = V681483 - 1. assign V394651 = V981335 + 1. assign V082985 = V296401 + 1. assign V049545 = V160849 + 1. assign V803268 = V681483. assign V068937 = V441905 + 1. assign V541045 = V468896. assign V805244 = V778694. assign V577714 = V074653 + 1. assign V997482 = V906435. assign V227907 = V477973. assign V995596 = V103370 - 1. assign V188954 = V257857. assign V604044 = V392082. assign V100583 = V858292. assign V801479 = V581966 + 1. assign V851012 = V778694 - 1. assign V386627 = V581966. assign V764686 = V686158 + 1. assign V873444 = V778694 - 1. assign V905119 = V188179 + 1. assign V493994 = V639894 - 1. assign V441905 = V658066 + 1. assign V270823 = V082881 - 1. assign V420024 = V518751 + 1. assign V778694 = V458693. assign V537386 = V492389. assign V729057 = V441905 + 1. assign V724668 = V995596 - 1. assign V767858 = V707827 - 1. assign V145171 = V188179. assign V055950 = V325758 + 1. assign V862498 = V572388 + 1. assign V458323 = V235707 + 1. assign V306737 = V464507 + 1. assign V006698 = V572388. assign V290337 = V392082 - 1. assign V332438 = V606786 + 1. assign V188179 = V229498 - 1. assign V037566 = V468896. assign V493627 = V103370 + 1. assign V572388 = V458693. assign V922833 = V257857. assign V462218 = V165474 - 1. assign V278393 = V851012. assign V325758 = V441905 - 1. assign V978691 = V860205. assign V882151 = V572388 - 1. assign V821838 = V002535 - 1. assign V976235 = V442545. assign V963125 = V851012 + 1. assign V599799 = V151573 - 1. assign V163025 = V434943. assign V085574 = V306737. assign V354967 = V296401 + 1. assign V203907 = V807873. assign V442158 = V773189 + 1. assign V382708 = V644005 - 1. assign V694927 = V657223 - 1. assign V151573 = V572388. assign V407820 = V085574 + 1. assign V732170 = V584886. assign V103370 = V644005. assign V622792 = V468896. assign V392082 = V981335 - 1. assign V707827 = V862498. assign V431109 = V458693 - 1. assign V228563 = V468896 - 1. assign V658066 = V235707. assign V733763 = V087284. assign V860205 = V656642 + 1. assign V518751 = V606786 - 1. assign V165393 = V221557. assign V556938 = V803268 + 1. assign V966559 = V082985 - 1. assign V927012 = V656642. assign V767343 = V145171 - 1. assign V656642 = V468896 + 1. assign V434943 = V732170 - 1. assign V082881 = V639894. assign V399432 = V458693 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV433813 = 0;\n\nFrom these direct assignment(s), we have: \nV365388 = V433813 + 1 = 0 + 1 =1;\nNo other variables can be derived from V365388;\nNo other variables can be derived from V433813;\n\nNow we have done all the calculations. Derived variables are:\nV433813 = 0;\nV365388 = 1;\n\nNow we have finished this problem. ANSWER:\nV433813\n", "role": "assistant" } ]

[ "V500564" ]

[ { "content": "<context>\nassign V705502 = V269652 - 1. assign V058499 = V913066 + 1. assign V621897 = V163416. assign V124736 = V773098 - 1. assign V672996 = V513366. assign V596255 = V366355 - 1. assign V907906 = V938881 + 1. assign V898053 = V610395 - 1. assign V254313 = V958758 + 1. assign V567256 = V260023 - 1. assign V737819 = V400752 + 1. assign V260023 = V540258. assign V815670 = V541587 - 1. assign V895682 = V401063 - 1. assign V551238 = V487003 - 1. assign V747024 = V513872. assign V622427 = V366355. assign V491162 = V400752 + 1. assign V107688 = V672996 + 1. assign V447636 = V094266. assign V420147 = V297173. assign V456858 = V366355 + 1. assign V036123 = V400752. assign V039759 = V628269 - 1. assign V554256 = V513366 - 1. assign V462139 = V036458 + 1. assign V903312 = V513366 - 1. assign V138876 = V097834 - 1. assign V903446 = V137010. assign V276388 = V491162 + 1. assign V717859 = V488731 - 1. assign V540258 = V311624 - 1. assign V163416 = V513366 - 1. assign V590988 = V492553 - 1. assign V977739 = V387232. assign V492785 = V960708 + 1. assign V773098 = V400752 + 1. assign V872426 = V821155 - 1. assign V225682 = V491162 + 1. assign V958758 = V456858 + 1. assign V531884 = V519446. assign V960708 = V366355 + 1. assign V973777 = V478634 + 1. assign V714715 = V518709 + 1. assign V926361 = V513366. assign V243590 = V478634. assign V081564 = V705502 + 1. assign V519446 = V547375. assign V357612 = V926361. assign V603190 = V190926 - 1. assign V439708 = V163416. assign V500564 = 8. assign V742604 = V241781 + 1. assign V994445 = V031368 - 1. assign V989506 = V960708 - 1. assign V241781 = V799316 + 1. assign V974950 = V903312 + 1. assign V351501 = V989506 + 1. assign V938881 = V425991 + 1. assign V363392 = V717859 - 1. assign V054094 = V775700 - 1. assign V341898 = V977739. assign V297173 = V513872 - 1. assign V287410 = V903312. assign V384590 = V958758. assign V999671 = V694361 - 1. assign V276579 = V492785 + 1. assign V036458 = V478634 + 1. assign V401063 = V491162 - 1. assign V390053 = V672996. assign V916864 = V202147 - 1. assign V567815 = V025643 - 1. assign V152443 = V058499 + 1. assign V311624 = V031368. assign V570409 = V513872 + 1. assign V102064 = V500564 - 1. assign V137010 = V717859. assign V875775 = V276579 + 1. assign V704819 = V487003. assign V881064 = V621897 + 1. assign V446852 = V913066. assign V328807 = V547375 - 1. assign V806209 = V417188. assign V479084 = V124736 + 1. assign V327439 = V118103 - 1. assign V629450 = V487003 - 1. assign V425991 = V366355 + 1. assign V492553 = V456858. assign V526940 = V254313 - 1. assign V351756 = V384590 + 1. assign V387232 = V989506 + 1. assign V329001 = V540258 + 1. assign V699147 = V511461. assign V610395 = V903446 + 1. assign V400752 = V026506. assign V653476 = V363393 - 1. assign V668025 = V513366. assign V790224 = V511461 + 1. assign V775700 = V349132 - 1. assign V664530 = V889049 - 1. assign V562993 = V366355 + 1. assign V838638 = V425991 - 1. assign V559192 = V841279 + 1. assign V269652 = V254313 - 1. assign V694361 = V775700. assign V487003 = V672996. assign V740894 = V926361 - 1. assign V854875 = V958758. assign V425944 = V487003 + 1. assign V287835 = V243590 - 1. assign V901545 = V456858. assign V541587 = V031368 + 1. assign V270174 = V570409 - 1. assign V202147 = V838638 + 1. assign V906864 = V547375 - 1. assign V518709 = V411667 + 1. assign V915454 = V770516 + 1. assign V913066 = V190926 - 1. assign V821155 = V078456. assign V772910 = V094266 - 1. assign V799316 = V384590 - 1. assign V011002 = V031368. assign V660154 = V621897 + 1. assign V628269 = V958758 + 1. assign V363393 = V329001. assign V621570 = V446852. assign V287362 = V821155 - 1. assign V193316 = V366355 + 1. assign V605723 = V078456 - 1. assign V025643 = V540258 + 1. assign V078456 = V838638. assign V947474 = V025643. assign V591891 = V526940 + 1. assign V590015 = V478634. assign V426763 = V026506. assign V488731 = V384590 - 1. assign V322178 = V562993. assign V770516 = V547375. assign V238546 = V773098 + 1. assign V290237 = V854875 - 1. assign V762000 = V097834 - 1. assign V349132 = V960708 - 1. assign V176733 = V714881. assign V129234 = V596255 + 1. assign V031368 = V384590. assign V271573 = V492553 + 1. assign V326877 = V478634 + 1. assign V609568 = V163416 + 1. assign V625064 = V326877. assign V036079 = V492785 + 1. assign V478634 = V384590. assign V610899 = V011002 - 1. assign V889049 = V366355. assign V511461 = V425991 + 1. assign V026506 = V163416 + 1. assign V833304 = V775700. assign V288484 = V366355 - 1. assign V585862 = V854875. assign V118103 = V036458 - 1. assign V026831 = V384590 - 1. assign V302615 = V290237 - 1. assign V417188 = V349132 + 1. assign V513872 = V202147. assign V190926 = V960708 - 1. assign V714881 = V322178. assign V547375 = V881064 + 1. assign V841279 = V838638. assign V513366 = V366355 + 1. assign V411667 = V097834 - 1. assign V094266 = V243590. assign V059310 = V938881. assign V097834 = V425991.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V705502 = V269652 - 1. assign V058499 = V913066 + 1. assign V621897 = V163416. assign V124736 = V773098 - 1. assign V672996 = V513366. assign V596255 = V366355 - 1. assign V907906 = V938881 + 1. assign V898053 = V610395 - 1. assign V254313 = V958758 + 1. assign V567256 = V260023 - 1. assign V737819 = V400752 + 1. assign V260023 = V540258. assign V815670 = V541587 - 1. assign V895682 = V401063 - 1. assign V551238 = V487003 - 1. assign V747024 = V513872. assign V622427 = V366355. assign V491162 = V400752 + 1. assign V107688 = V672996 + 1. assign V447636 = V094266. assign V420147 = V297173. assign V456858 = V366355 + 1. assign V036123 = V400752. assign V039759 = V628269 - 1. assign V554256 = V513366 - 1. assign V462139 = V036458 + 1. assign V903312 = V513366 - 1. assign V138876 = V097834 - 1. assign V903446 = V137010. assign V276388 = V491162 + 1. assign V717859 = V488731 - 1. assign V540258 = V311624 - 1. assign V163416 = V513366 - 1. assign V590988 = V492553 - 1. assign V977739 = V387232. assign V492785 = V960708 + 1. assign V773098 = V400752 + 1. assign V872426 = V821155 - 1. assign V225682 = V491162 + 1. assign V958758 = V456858 + 1. assign V531884 = V519446. assign V960708 = V366355 + 1. assign V973777 = V478634 + 1. assign V714715 = V518709 + 1. assign V926361 = V513366. assign V243590 = V478634. assign V081564 = V705502 + 1. assign V519446 = V547375. assign V357612 = V926361. assign V603190 = V190926 - 1. assign V439708 = V163416. assign V500564 = 8. assign V742604 = V241781 + 1. assign V994445 = V031368 - 1. assign V989506 = V960708 - 1. assign V241781 = V799316 + 1. assign V974950 = V903312 + 1. assign V351501 = V989506 + 1. assign V938881 = V425991 + 1. assign V363392 = V717859 - 1. assign V054094 = V775700 - 1. assign V341898 = V977739. assign V297173 = V513872 - 1. assign V287410 = V903312. assign V384590 = V958758. assign V999671 = V694361 - 1. assign V276579 = V492785 + 1. assign V036458 = V478634 + 1. assign V401063 = V491162 - 1. assign V390053 = V672996. assign V916864 = V202147 - 1. assign V567815 = V025643 - 1. assign V152443 = V058499 + 1. assign V311624 = V031368. assign V570409 = V513872 + 1. assign V102064 = V500564 - 1. assign V137010 = V717859. assign V875775 = V276579 + 1. assign V704819 = V487003. assign V881064 = V621897 + 1. assign V446852 = V913066. assign V328807 = V547375 - 1. assign V806209 = V417188. assign V479084 = V124736 + 1. assign V327439 = V118103 - 1. assign V629450 = V487003 - 1. assign V425991 = V366355 + 1. assign V492553 = V456858. assign V526940 = V254313 - 1. assign V351756 = V384590 + 1. assign V387232 = V989506 + 1. assign V329001 = V540258 + 1. assign V699147 = V511461. assign V610395 = V903446 + 1. assign V400752 = V026506. assign V653476 = V363393 - 1. assign V668025 = V513366. assign V790224 = V511461 + 1. assign V775700 = V349132 - 1. assign V664530 = V889049 - 1. assign V562993 = V366355 + 1. assign V838638 = V425991 - 1. assign V559192 = V841279 + 1. assign V269652 = V254313 - 1. assign V694361 = V775700. assign V487003 = V672996. assign V740894 = V926361 - 1. assign V854875 = V958758. assign V425944 = V487003 + 1. assign V287835 = V243590 - 1. assign V901545 = V456858. assign V541587 = V031368 + 1. assign V270174 = V570409 - 1. assign V202147 = V838638 + 1. assign V906864 = V547375 - 1. assign V518709 = V411667 + 1. assign V915454 = V770516 + 1. assign V913066 = V190926 - 1. assign V821155 = V078456. assign V772910 = V094266 - 1. assign V799316 = V384590 - 1. assign V011002 = V031368. assign V660154 = V621897 + 1. assign V628269 = V958758 + 1. assign V363393 = V329001. assign V621570 = V446852. assign V287362 = V821155 - 1. assign V193316 = V366355 + 1. assign V605723 = V078456 - 1. assign V025643 = V540258 + 1. assign V078456 = V838638. assign V947474 = V025643. assign V591891 = V526940 + 1. assign V590015 = V478634. assign V426763 = V026506. assign V488731 = V384590 - 1. assign V322178 = V562993. assign V770516 = V547375. assign V238546 = V773098 + 1. assign V290237 = V854875 - 1. assign V762000 = V097834 - 1. assign V349132 = V960708 - 1. assign V176733 = V714881. assign V129234 = V596255 + 1. assign V031368 = V384590. assign V271573 = V492553 + 1. assign V326877 = V478634 + 1. assign V609568 = V163416 + 1. assign V625064 = V326877. assign V036079 = V492785 + 1. assign V478634 = V384590. assign V610899 = V011002 - 1. assign V889049 = V366355. assign V511461 = V425991 + 1. assign V026506 = V163416 + 1. assign V833304 = V775700. assign V288484 = V366355 - 1. assign V585862 = V854875. assign V118103 = V036458 - 1. assign V026831 = V384590 - 1. assign V302615 = V290237 - 1. assign V417188 = V349132 + 1. assign V513872 = V202147. assign V190926 = V960708 - 1. assign V714881 = V322178. assign V547375 = V881064 + 1. assign V841279 = V838638. assign V513366 = V366355 + 1. assign V411667 = V097834 - 1. assign V094266 = V243590. assign V059310 = V938881. assign V097834 = V425991.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV500564 = 8;\n\nFrom these direct assignment(s), we have: \nV102064 = V500564 - 1 = 8 - 1 =7;\nNo other variables can be derived from V102064;\nNo other variables can be derived from V500564;\n\nNow we have done all the calculations. Derived variables are:\nV500564 = 8;\nV102064 = 7;\n\nNow we have finished this problem. ANSWER:\nV500564\n", "role": "assistant" } ]

[ "V767793" ]

[ { "content": "<context>\nassign V313132 = V834164 - 1. assign V332771 = V511420 - 1. assign V502380 = V114119. assign V698299 = V293189 + 1. assign V272226 = V022496. assign V293189 = V276720 - 1. assign V544118 = V603152. assign V860636 = V686464 - 1. assign V600787 = V686464 - 1. assign V527764 = V082662 - 1. assign V138969 = V993001 - 1. assign V893041 = V614701. assign V429900 = V590407. assign V900310 = V837822 - 1. assign V936207 = V638361 + 1. assign V786920 = V844530. assign V622568 = V971902 + 1. assign V459755 = V171246 - 1. assign V569891 = V844530. assign V458110 = V508047 - 1. assign V358638 = V308726 - 1. assign V588198 = V993944 - 1. assign V582259 = V044012 + 1. assign V570202 = V582259 + 1. assign V581470 = V137204 - 1. assign V119249 = V599835 - 1. assign V843519 = V786920 - 1. assign V619436 = V876352 - 1. assign V513174 = V293189 - 1. assign V633814 = V250743. assign V767793 = V529942 - 1. assign V971902 = V189615. assign V044012 = V911209. assign V541170 = V250743. assign V081797 = V676382 + 1. assign V498735 = V599835 - 1. assign V771863 = V786920 - 1. assign V559813 = V466917 - 1. assign V590407 = V675677 + 1. assign V686569 = V710091 + 1. assign V053581 = V823829 + 1. assign V708247 = V654295. assign V089683 = V557212 - 1. assign V208386 = V094010 - 1. assign V018141 = V293189 + 1. assign V070908 = V528803 + 1. assign V048514 = V060902 + 1. assign V865864 = V593030 + 1. assign V993944 = V459755. assign V710091 = V303248 + 1. assign V493777 = V580244 + 1. assign V189615 = V654295 - 1. assign V522400 = V014318 + 1. assign V722790 = V936207 + 1. assign V638361 = V502018 - 1. assign V192123 = V137204. assign V834164 = V119249 + 1. assign V580873 = V837822. assign V823829 = V094010 + 1. assign V916156 = V276720 - 1. assign V488675 = V521191. assign V675677 = V949556 + 1. assign V453219 = V502018. assign V791216 = V488675 + 1. assign V034708 = V171246 - 1. assign V832736 = V544118. assign V242689 = V189615 - 1. assign V581287 = V504554. assign V993001 = V559813 - 1. assign V587817 = V502981 + 1. assign V144734 = V633814. assign V829573 = V480345. assign V094010 = V511420 - 1. assign V045873 = V034708 + 1. assign V053845 = V060902 + 1. assign V875957 = V070908 - 1. assign V348789 = V171246 + 1. assign V060902 = V686464 - 1. assign V276720 = V686464 + 1. assign V372872 = V844530 + 1. assign V093218 = V522400 + 1. assign V445142 = V053581. assign V557212 = V771863. assign V949556 = V876352. assign V286532 = V158377 - 1. assign V837822 = V348789 + 1. assign V898456 = V844530 + 1. assign V528803 = V034708 + 1. assign V121146 = V893041 + 1. assign V065784 = V293189 + 1. assign V209473 = V466917 + 1. assign V054331 = V587729 - 1. assign V593030 = V453219 - 1. assign V014318 = V018141 + 1. assign V876352 = V189615 + 1. assign V508047 = V975455. assign V349237 = V286532 + 1. assign V529942 = 4. assign V844530 = V018141 + 1. assign V937936 = V308726. assign V447124 = V308726. assign V735120 = V975455. assign V434201 = V037693 + 1. assign V171246 = V502018. assign V580244 = V711389 + 1. assign V385777 = V916156 - 1. assign V841081 = V823829 - 1. assign V033223 = V541170 + 1. assign V599835 = V250743. assign V250743 = V276720 - 1. assign V303248 = V114119. assign V082662 = V916156 - 1. assign V342282 = V370959 - 1. assign V613678 = V121146. assign V582026 = V614701 + 1. assign V963200 = V911209. assign V022496 = V286532 + 1. assign V151816 = V686464 + 1. assign V480345 = V502981. assign V587729 = V844530. assign V614701 = V771863 - 1. assign V603152 = V698299 + 1. assign V774911 = V937936 - 1. assign V809291 = V844530. assign V502981 = V390460 - 1. assign V317600 = V726138 + 1. assign V920640 = V317600 + 1. assign V235580 = V094010 - 1. assign V108696 = V823829 + 1. assign V898411 = V654295 + 1. assign V653450 = V502018. assign V373774 = V844530. assign V003816 = V480345. assign V863344 = V837822 + 1. assign V304810 = V860636 - 1. assign V726138 = V893041. assign V282843 = V771863 - 1. assign V081723 = V587729 + 1. assign V338598 = V158377 - 1. assign V891402 = V686464 - 1. assign V885743 = V521191 - 1. assign V737331 = V622568. assign V636429 = V893041. assign V521191 = V151816 + 1. assign V711389 = V094010 - 1. assign V676382 = V048514 - 1. assign V916627 = V034708. assign V504554 = V876352 + 1. assign V370959 = V993001 + 1. assign V914468 = V119249 - 1. assign V750758 = V914468. assign V502018 = V293189 + 1. assign V975455 = V885743. assign V770764 = V614701. assign V114119 = V158377 + 1. assign V466917 = V065784. assign V037693 = V209473 - 1. assign V654295 = V293189 + 1. assign V137204 = V771863. assign V390460 = V876352 + 1. assign V304959 = V003816. assign V911209 = V786920 - 1. assign V002604 = V603152. assign V935089 = V587817. assign V308726 = V018141 - 1. assign V165432 = V750758 + 1. assign V511420 = V502018 + 1. assign V158377 = V911209 - 1. assign V452731 = V138969 - 1. assign V999166 = V493777. assign V219256 = V373774 + 1. assign V614848 = V114119 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V313132 = V834164 - 1. assign V332771 = V511420 - 1. assign V502380 = V114119. assign V698299 = V293189 + 1. assign V272226 = V022496. assign V293189 = V276720 - 1. assign V544118 = V603152. assign V860636 = V686464 - 1. assign V600787 = V686464 - 1. assign V527764 = V082662 - 1. assign V138969 = V993001 - 1. assign V893041 = V614701. assign V429900 = V590407. assign V900310 = V837822 - 1. assign V936207 = V638361 + 1. assign V786920 = V844530. assign V622568 = V971902 + 1. assign V459755 = V171246 - 1. assign V569891 = V844530. assign V458110 = V508047 - 1. assign V358638 = V308726 - 1. assign V588198 = V993944 - 1. assign V582259 = V044012 + 1. assign V570202 = V582259 + 1. assign V581470 = V137204 - 1. assign V119249 = V599835 - 1. assign V843519 = V786920 - 1. assign V619436 = V876352 - 1. assign V513174 = V293189 - 1. assign V633814 = V250743. assign V767793 = V529942 - 1. assign V971902 = V189615. assign V044012 = V911209. assign V541170 = V250743. assign V081797 = V676382 + 1. assign V498735 = V599835 - 1. assign V771863 = V786920 - 1. assign V559813 = V466917 - 1. assign V590407 = V675677 + 1. assign V686569 = V710091 + 1. assign V053581 = V823829 + 1. assign V708247 = V654295. assign V089683 = V557212 - 1. assign V208386 = V094010 - 1. assign V018141 = V293189 + 1. assign V070908 = V528803 + 1. assign V048514 = V060902 + 1. assign V865864 = V593030 + 1. assign V993944 = V459755. assign V710091 = V303248 + 1. assign V493777 = V580244 + 1. assign V189615 = V654295 - 1. assign V522400 = V014318 + 1. assign V722790 = V936207 + 1. assign V638361 = V502018 - 1. assign V192123 = V137204. assign V834164 = V119249 + 1. assign V580873 = V837822. assign V823829 = V094010 + 1. assign V916156 = V276720 - 1. assign V488675 = V521191. assign V675677 = V949556 + 1. assign V453219 = V502018. assign V791216 = V488675 + 1. assign V034708 = V171246 - 1. assign V832736 = V544118. assign V242689 = V189615 - 1. assign V581287 = V504554. assign V993001 = V559813 - 1. assign V587817 = V502981 + 1. assign V144734 = V633814. assign V829573 = V480345. assign V094010 = V511420 - 1. assign V045873 = V034708 + 1. assign V053845 = V060902 + 1. assign V875957 = V070908 - 1. assign V348789 = V171246 + 1. assign V060902 = V686464 - 1. assign V276720 = V686464 + 1. assign V372872 = V844530 + 1. assign V093218 = V522400 + 1. assign V445142 = V053581. assign V557212 = V771863. assign V949556 = V876352. assign V286532 = V158377 - 1. assign V837822 = V348789 + 1. assign V898456 = V844530 + 1. assign V528803 = V034708 + 1. assign V121146 = V893041 + 1. assign V065784 = V293189 + 1. assign V209473 = V466917 + 1. assign V054331 = V587729 - 1. assign V593030 = V453219 - 1. assign V014318 = V018141 + 1. assign V876352 = V189615 + 1. assign V508047 = V975455. assign V349237 = V286532 + 1. assign V529942 = 4. assign V844530 = V018141 + 1. assign V937936 = V308726. assign V447124 = V308726. assign V735120 = V975455. assign V434201 = V037693 + 1. assign V171246 = V502018. assign V580244 = V711389 + 1. assign V385777 = V916156 - 1. assign V841081 = V823829 - 1. assign V033223 = V541170 + 1. assign V599835 = V250743. assign V250743 = V276720 - 1. assign V303248 = V114119. assign V082662 = V916156 - 1. assign V342282 = V370959 - 1. assign V613678 = V121146. assign V582026 = V614701 + 1. assign V963200 = V911209. assign V022496 = V286532 + 1. assign V151816 = V686464 + 1. assign V480345 = V502981. assign V587729 = V844530. assign V614701 = V771863 - 1. assign V603152 = V698299 + 1. assign V774911 = V937936 - 1. assign V809291 = V844530. assign V502981 = V390460 - 1. assign V317600 = V726138 + 1. assign V920640 = V317600 + 1. assign V235580 = V094010 - 1. assign V108696 = V823829 + 1. assign V898411 = V654295 + 1. assign V653450 = V502018. assign V373774 = V844530. assign V003816 = V480345. assign V863344 = V837822 + 1. assign V304810 = V860636 - 1. assign V726138 = V893041. assign V282843 = V771863 - 1. assign V081723 = V587729 + 1. assign V338598 = V158377 - 1. assign V891402 = V686464 - 1. assign V885743 = V521191 - 1. assign V737331 = V622568. assign V636429 = V893041. assign V521191 = V151816 + 1. assign V711389 = V094010 - 1. assign V676382 = V048514 - 1. assign V916627 = V034708. assign V504554 = V876352 + 1. assign V370959 = V993001 + 1. assign V914468 = V119249 - 1. assign V750758 = V914468. assign V502018 = V293189 + 1. assign V975455 = V885743. assign V770764 = V614701. assign V114119 = V158377 + 1. assign V466917 = V065784. assign V037693 = V209473 - 1. assign V654295 = V293189 + 1. assign V137204 = V771863. assign V390460 = V876352 + 1. assign V304959 = V003816. assign V911209 = V786920 - 1. assign V002604 = V603152. assign V935089 = V587817. assign V308726 = V018141 - 1. assign V165432 = V750758 + 1. assign V511420 = V502018 + 1. assign V158377 = V911209 - 1. assign V452731 = V138969 - 1. assign V999166 = V493777. assign V219256 = V373774 + 1. assign V614848 = V114119 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV529942 = 4;\n\nFrom these direct assignment(s), we have: \nV767793 = V529942 - 1 = 4 - 1 =3;\nNo other variables can be derived from V767793;\nNo other variables can be derived from V529942;\n\nNow we have done all the calculations. Derived variables are:\nV529942 = 4;\nV767793 = 3;\n\nNow we have finished this problem. ANSWER:\nV767793\n", "role": "assistant" } ]

[ "V279157" ]

[ { "content": "<context>\nassign V507390 = V632228 + 1. assign V940145 = V390247 + 1. assign V822760 = V940145 + 1. assign V700909 = V783858 + 1. assign V679409 = V035184 + 1. assign V923506 = V037946. assign V975280 = V460321 + 1. assign V476013 = V762204 - 1. assign V953725 = V943397 - 1. assign V948489 = V860231. assign V949501 = V460321. assign V190144 = V040289 - 1. assign V181346 = V420572. assign V812332 = V943397 + 1. assign V119074 = V720190 - 1. assign V015611 = V070463. assign V505989 = V857677 + 1. assign V632228 = V420572 + 1. assign V888396 = V710519. assign V660181 = V632228 - 1. assign V170159 = V075234 + 1. assign V633249 = V012288 - 1. assign V115870 = V179043 - 1. assign V083861 = V943397 + 1. assign V750500 = V522827. assign V318564 = V741944 + 1. assign V569508 = V440380 - 1. assign V529576 = V943397 - 1. assign V857677 = V648168 - 1. assign V737981 = V633249. assign V783782 = V507328 - 1. assign V390247 = V872324 + 1. assign V654059 = V685245 - 1. assign V943518 = V211600 + 1. assign V790998 = V982397. assign V875618 = V626490 + 1. assign V971692 = V943397 - 1. assign V211600 = V925771 + 1. assign V458198 = V766270 - 1. assign V020984 = V522827 + 1. assign V527310 = V279157 + 1. assign V685245 = V626490. assign V275386 = V872324 + 1. assign V902912 = V888779 + 1. assign V132666 = V660181 - 1. assign V507328 = V252850. assign V664552 = V075234. assign V263518 = V458198 - 1. assign V720190 = V040289 + 1. assign V423818 = V428862 - 1. assign V687996 = V982397 - 1. assign V969607 = V070463 + 1. assign V584583 = V632228 + 1. assign V860231 = V741944 + 1. assign V252850 = V420572 + 1. assign V541939 = V073561 - 1. assign V972297 = V888396. assign V961074 = V423818 - 1. assign V075234 = V943397. assign V931026 = V934009 - 1. assign V070463 = V082736 - 1. assign V301977 = V747029 - 1. assign V269653 = V741944 + 1. assign V994634 = V626490 + 1. assign V194638 = V423818. assign V322604 = V024251. assign V465911 = V570443. assign V621173 = V940145 + 1. assign V294444 = V626490 - 1. assign V207409 = V070463 + 1. assign V648168 = V953725. assign V673900 = V872324 + 1. assign V766270 = V170159 + 1. assign V206445 = V035184. assign V340822 = V170159. assign V351876 = V982397. assign V591538 = V679409. assign V038741 = V626490 + 1. assign V051153 = V822760 - 1. assign V082736 = V507328. assign V626490 = V812332. assign V791801 = V969607. assign V314927 = V673900 - 1. assign V615396 = V790998 - 1. assign V586039 = V035184. assign V054313 = V949119 - 1. assign V651951 = V687996 - 1. assign V419910 = V888396 + 1. assign V474877 = V121385 - 1. assign V287779 = V729358 - 1. assign V393906 = V943397 - 1. assign V217954 = V115870 - 1. assign V035809 = V206445 + 1. assign V396387 = V660181 - 1. assign V323053 = V626490. assign V428862 = V953725 - 1. assign V458270 = V766270 + 1. assign V352230 = V010817 + 1. assign V216645 = V038741 - 1. assign V853609 = V607577 - 1. assign V024251 = V529576 + 1. assign V783858 = V035809 - 1. assign V666332 = V465911 - 1. assign V121385 = V570443 + 1. assign V729358 = V010817. assign V470152 = V570443 + 1. assign V881649 = V971692 - 1. assign V541862 = V569508. assign V881278 = V396387 + 1. assign V279157 = 7. assign V620922 = V943397 - 1. assign V741944 = V037946 - 1. assign V767254 = V390247 - 1. assign V651083 = V948489. assign V570443 = V083861 - 1. assign V867335 = V200745 + 1. assign V710519 = V252850 - 1. assign V607577 = V710519 - 1. assign V872324 = V943397. assign V951332 = V710519 - 1. assign V200745 = V012288 + 1. assign V601836 = V015611 + 1. assign V109006 = V648168 + 1. assign V420572 = V393906 - 1. assign V881453 = V015611 + 1. assign V445270 = V405764. assign V498723 = V934009. assign V203813 = V498723 - 1. assign V925771 = V591538. assign V949119 = V474877. assign V468269 = V012288. assign V593473 = V351876 + 1. assign V460321 = V323053. assign V405764 = V390247. assign V824123 = V687996 + 1. assign V877898 = V012288 + 1. assign V010817 = V522827 + 1. assign V012288 = V632228 + 1. assign V037946 = V529576 + 1. assign V030988 = V953725 + 1. assign V948668 = V190144 + 1. assign V888779 = V132666 + 1. assign V073561 = V875618 + 1. assign V594953 = V824123. assign V402339 = V460321. assign V314771 = V458270. assign V080254 = V314927 - 1. assign V450915 = V591538 - 1. assign V522827 = V875618 - 1. assign V747029 = V687996 - 1. assign V440380 = V570443 - 1. assign V761305 = V186616 - 1. assign V934009 = V082736. assign V420050 = V925771 + 1. assign V526827 = V024251 + 1. assign V340410 = V522827 - 1. assign V186616 = V440380 - 1. assign V500642 = V881453 + 1. assign V394024 = V790998. assign V309951 = V186616. assign V405940 = V470152. assign V934913 = V633249. assign V179043 = V953725. assign V762204 = V450915 + 1. assign V982397 = V015611. assign V035184 = V507390 + 1. assign V295498 = V037946 + 1. assign V088548 = V203813. assign V040289 = V035184 - 1. assign V022446 = V526827. assign V698074 = V791801 - 1. assign V440982 = V318564.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V507390 = V632228 + 1. assign V940145 = V390247 + 1. assign V822760 = V940145 + 1. assign V700909 = V783858 + 1. assign V679409 = V035184 + 1. assign V923506 = V037946. assign V975280 = V460321 + 1. assign V476013 = V762204 - 1. assign V953725 = V943397 - 1. assign V948489 = V860231. assign V949501 = V460321. assign V190144 = V040289 - 1. assign V181346 = V420572. assign V812332 = V943397 + 1. assign V119074 = V720190 - 1. assign V015611 = V070463. assign V505989 = V857677 + 1. assign V632228 = V420572 + 1. assign V888396 = V710519. assign V660181 = V632228 - 1. assign V170159 = V075234 + 1. assign V633249 = V012288 - 1. assign V115870 = V179043 - 1. assign V083861 = V943397 + 1. assign V750500 = V522827. assign V318564 = V741944 + 1. assign V569508 = V440380 - 1. assign V529576 = V943397 - 1. assign V857677 = V648168 - 1. assign V737981 = V633249. assign V783782 = V507328 - 1. assign V390247 = V872324 + 1. assign V654059 = V685245 - 1. assign V943518 = V211600 + 1. assign V790998 = V982397. assign V875618 = V626490 + 1. assign V971692 = V943397 - 1. assign V211600 = V925771 + 1. assign V458198 = V766270 - 1. assign V020984 = V522827 + 1. assign V527310 = V279157 + 1. assign V685245 = V626490. assign V275386 = V872324 + 1. assign V902912 = V888779 + 1. assign V132666 = V660181 - 1. assign V507328 = V252850. assign V664552 = V075234. assign V263518 = V458198 - 1. assign V720190 = V040289 + 1. assign V423818 = V428862 - 1. assign V687996 = V982397 - 1. assign V969607 = V070463 + 1. assign V584583 = V632228 + 1. assign V860231 = V741944 + 1. assign V252850 = V420572 + 1. assign V541939 = V073561 - 1. assign V972297 = V888396. assign V961074 = V423818 - 1. assign V075234 = V943397. assign V931026 = V934009 - 1. assign V070463 = V082736 - 1. assign V301977 = V747029 - 1. assign V269653 = V741944 + 1. assign V994634 = V626490 + 1. assign V194638 = V423818. assign V322604 = V024251. assign V465911 = V570443. assign V621173 = V940145 + 1. assign V294444 = V626490 - 1. assign V207409 = V070463 + 1. assign V648168 = V953725. assign V673900 = V872324 + 1. assign V766270 = V170159 + 1. assign V206445 = V035184. assign V340822 = V170159. assign V351876 = V982397. assign V591538 = V679409. assign V038741 = V626490 + 1. assign V051153 = V822760 - 1. assign V082736 = V507328. assign V626490 = V812332. assign V791801 = V969607. assign V314927 = V673900 - 1. assign V615396 = V790998 - 1. assign V586039 = V035184. assign V054313 = V949119 - 1. assign V651951 = V687996 - 1. assign V419910 = V888396 + 1. assign V474877 = V121385 - 1. assign V287779 = V729358 - 1. assign V393906 = V943397 - 1. assign V217954 = V115870 - 1. assign V035809 = V206445 + 1. assign V396387 = V660181 - 1. assign V323053 = V626490. assign V428862 = V953725 - 1. assign V458270 = V766270 + 1. assign V352230 = V010817 + 1. assign V216645 = V038741 - 1. assign V853609 = V607577 - 1. assign V024251 = V529576 + 1. assign V783858 = V035809 - 1. assign V666332 = V465911 - 1. assign V121385 = V570443 + 1. assign V729358 = V010817. assign V470152 = V570443 + 1. assign V881649 = V971692 - 1. assign V541862 = V569508. assign V881278 = V396387 + 1. assign V279157 = 7. assign V620922 = V943397 - 1. assign V741944 = V037946 - 1. assign V767254 = V390247 - 1. assign V651083 = V948489. assign V570443 = V083861 - 1. assign V867335 = V200745 + 1. assign V710519 = V252850 - 1. assign V607577 = V710519 - 1. assign V872324 = V943397. assign V951332 = V710519 - 1. assign V200745 = V012288 + 1. assign V601836 = V015611 + 1. assign V109006 = V648168 + 1. assign V420572 = V393906 - 1. assign V881453 = V015611 + 1. assign V445270 = V405764. assign V498723 = V934009. assign V203813 = V498723 - 1. assign V925771 = V591538. assign V949119 = V474877. assign V468269 = V012288. assign V593473 = V351876 + 1. assign V460321 = V323053. assign V405764 = V390247. assign V824123 = V687996 + 1. assign V877898 = V012288 + 1. assign V010817 = V522827 + 1. assign V012288 = V632228 + 1. assign V037946 = V529576 + 1. assign V030988 = V953725 + 1. assign V948668 = V190144 + 1. assign V888779 = V132666 + 1. assign V073561 = V875618 + 1. assign V594953 = V824123. assign V402339 = V460321. assign V314771 = V458270. assign V080254 = V314927 - 1. assign V450915 = V591538 - 1. assign V522827 = V875618 - 1. assign V747029 = V687996 - 1. assign V440380 = V570443 - 1. assign V761305 = V186616 - 1. assign V934009 = V082736. assign V420050 = V925771 + 1. assign V526827 = V024251 + 1. assign V340410 = V522827 - 1. assign V186616 = V440380 - 1. assign V500642 = V881453 + 1. assign V394024 = V790998. assign V309951 = V186616. assign V405940 = V470152. assign V934913 = V633249. assign V179043 = V953725. assign V762204 = V450915 + 1. assign V982397 = V015611. assign V035184 = V507390 + 1. assign V295498 = V037946 + 1. assign V088548 = V203813. assign V040289 = V035184 - 1. assign V022446 = V526827. assign V698074 = V791801 - 1. assign V440982 = V318564.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV279157 = 7;\n\nFrom these direct assignment(s), we have: \nV527310 = V279157 + 1 = 7 + 1 =8;\nNo other variables can be derived from V527310;\nNo other variables can be derived from V279157;\n\nNow we have done all the calculations. Derived variables are:\nV279157 = 7;\nV527310 = 8;\n\nNow we have finished this problem. ANSWER:\nV279157\n", "role": "assistant" } ]

[ "V470201", "V099301" ]

[ { "content": "<context>\nassign V669081 = V471955 - 1. assign V891570 = V747230 - 1. assign V783672 = V747230 - 1. assign V767288 = V463943 - 1. assign V354225 = V093762 - 1. assign V016264 = V991387 - 1. assign V532774 = V029399. assign V561882 = V433219 + 1. assign V396806 = V893591 + 1. assign V586233 = V163885. assign V231817 = V093762. assign V987956 = V685282 + 1. assign V163885 = V824997 + 1. assign V838753 = V603008 - 1. assign V269099 = V824929 + 1. assign V103546 = V633343. assign V581269 = V747230 - 1. assign V085059 = V782116 - 1. assign V862761 = V557919 - 1. assign V092522 = V734782 + 1. assign V508814 = V292952 + 1. assign V400688 = V389832 - 1. assign V167571 = V893591 - 1. assign V475547 = V324059 - 1. assign V318261 = V807499 + 1. assign V297406 = V807499 - 1. assign V811401 = V893591 - 1. assign V305219 = V239753. assign V471955 = V029399. assign V362764 = V751350 + 1. assign V279120 = V297406 - 1. assign V056052 = V751350 - 1. assign V635129 = V059980 - 1. assign V417117 = V499666 + 1. assign V442358 = V412532 - 1. assign V808516 = V965245. assign V089366 = V891570 - 1. assign V724828 = V063136 - 1. assign V763992 = V463943 + 1. assign V156304 = V824997. assign V155098 = V389832 + 1. assign V424454 = V991387 - 1. assign V001840 = V581269. assign V603008 = V581269 + 1. assign V370578 = V972321. assign V860838 = V543722 - 1. assign V584228 = V807499 - 1. assign V751350 = V824997 - 1. assign V289876 = V269099 + 1. assign V537634 = V400688 + 1. assign V136955 = V462200 + 1. assign V063347 = V463943. assign V601214 = V093762 - 1. assign V741308 = V891570. assign V849576 = V369479 - 1. assign V557919 = V824997 - 1. assign V891407 = V583528. assign V816604 = V389832. assign V039123 = V956517 + 1. assign V300451 = V571592 + 1. assign V248187 = V954753 + 1. assign V151403 = V782116. assign V367379 = V972321 - 1. assign V292952 = V054090. assign V782116 = V396806 + 1. assign V798488 = V584228 + 1. assign V093762 = V972321 + 1. assign V759834 = V499666 - 1. assign V422994 = V862761 - 1. assign V893591 = V767288 - 1. assign V175243 = V089366 - 1. assign V457054 = V623828 - 1. assign V137823 = V156304. assign V054090 = V499666 - 1. assign V583561 = V601214 + 1. assign V783584 = V157260. assign V590323 = V964673 - 1. assign V059980 = V751350. assign V389832 = V318261 + 1. assign V807499 = V720737. assign V126886 = V948631 - 1. assign V824997 = V878967. assign V048471 = V807499 + 1. assign V956517 = V025191. assign V029399 = V152390 - 1. assign V025191 = V063347. assign V887214 = V048471. assign V428622 = V412532 + 1. assign V611802 = V151403 + 1. assign V948631 = V991387 - 1. assign V571592 = V868932 - 1. assign V596787 = V623828 - 1. assign V362905 = V396806 + 1. assign V565895 = V324059 + 1. assign V710108 = V824929. assign V412532 = V370578. assign V980313 = V167571 + 1. assign V700111 = V581269 + 1. assign V585448 = V085059. assign V769286 = V878967 - 1. assign V047565 = V463943 - 1. assign V408246 = V044064 + 1. assign V206813 = V751350 + 1. assign V064001 = V177457. assign V615953 = V954753 + 1. assign V965245 = V318261 + 1. assign V633343 = V785580 - 1. assign V499666 = V720737 - 1. assign V251292 = V543722. assign V525887 = V156304. assign V818687 = V029399 + 1. assign V157260 = V411817 + 1. assign V400786 = V741308. assign V308226 = V586233. assign V341427 = V751350 + 1. assign V369479 = V808516 - 1. assign V152390 = V824997 - 1. assign V907289 = V611572. assign V611572 = V190459 - 1. assign V972321 = V720737 - 1. assign V824929 = V807499 + 1. assign V261933 = V369479. assign V880668 = V583528 + 1. assign V411817 = V063347. assign V282291 = V059980. assign V825001 = V734782 - 1. assign V463943 = V318261 - 1. assign V442856 = V156304. assign V868932 = V807499 - 1. assign V063136 = V710108. assign V000482 = V054090 - 1. assign V964673 = V269099 - 1. assign V148578 = V734782 + 1. assign V125359 = V710108 - 1. assign V045380 = V912495 + 1. assign V614287 = V862761 - 1. assign V908760 = V305219 + 1. assign V210314 = V611572 - 1. assign V185385 = V341427 - 1. assign V934873 = V956517. assign V878967 = V807499. assign V734782 = V623828 - 1. assign V543722 = V297406 + 1. assign V623828 = V463943 + 1. assign V954753 = V367379. assign V372319 = V093762 + 1. assign V229621 = V206813. assign V944167 = V163885. assign V462200 = V685282 + 1. assign V044064 = V782116 + 1. assign V425355 = V300451 - 1. assign V177457 = V824997. assign V785580 = V571592. assign V923916 = V583528. assign V233774 = V991387 + 1. assign V583528 = V251292 - 1. assign V470201 = 10. assign V991387 = V412532 + 1. assign V543900 = V620531. assign V841971 = V362764. assign V239753 = V685282 - 1. assign V099301 = V470201. assign V190459 = V954753 + 1. assign V480162 = V685282 - 1. assign V912495 = V156304. assign V324059 = V063347. assign V747230 = V367379 - 1. assign V060326 = V923916 + 1. assign V433219 = V824997 - 1. assign V685282 = V093762 - 1. assign V620531 = V763992 - 1. assign V776486 = V060326 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V669081 = V471955 - 1. assign V891570 = V747230 - 1. assign V783672 = V747230 - 1. assign V767288 = V463943 - 1. assign V354225 = V093762 - 1. assign V016264 = V991387 - 1. assign V532774 = V029399. assign V561882 = V433219 + 1. assign V396806 = V893591 + 1. assign V586233 = V163885. assign V231817 = V093762. assign V987956 = V685282 + 1. assign V163885 = V824997 + 1. assign V838753 = V603008 - 1. assign V269099 = V824929 + 1. assign V103546 = V633343. assign V581269 = V747230 - 1. assign V085059 = V782116 - 1. assign V862761 = V557919 - 1. assign V092522 = V734782 + 1. assign V508814 = V292952 + 1. assign V400688 = V389832 - 1. assign V167571 = V893591 - 1. assign V475547 = V324059 - 1. assign V318261 = V807499 + 1. assign V297406 = V807499 - 1. assign V811401 = V893591 - 1. assign V305219 = V239753. assign V471955 = V029399. assign V362764 = V751350 + 1. assign V279120 = V297406 - 1. assign V056052 = V751350 - 1. assign V635129 = V059980 - 1. assign V417117 = V499666 + 1. assign V442358 = V412532 - 1. assign V808516 = V965245. assign V089366 = V891570 - 1. assign V724828 = V063136 - 1. assign V763992 = V463943 + 1. assign V156304 = V824997. assign V155098 = V389832 + 1. assign V424454 = V991387 - 1. assign V001840 = V581269. assign V603008 = V581269 + 1. assign V370578 = V972321. assign V860838 = V543722 - 1. assign V584228 = V807499 - 1. assign V751350 = V824997 - 1. assign V289876 = V269099 + 1. assign V537634 = V400688 + 1. assign V136955 = V462200 + 1. assign V063347 = V463943. assign V601214 = V093762 - 1. assign V741308 = V891570. assign V849576 = V369479 - 1. assign V557919 = V824997 - 1. assign V891407 = V583528. assign V816604 = V389832. assign V039123 = V956517 + 1. assign V300451 = V571592 + 1. assign V248187 = V954753 + 1. assign V151403 = V782116. assign V367379 = V972321 - 1. assign V292952 = V054090. assign V782116 = V396806 + 1. assign V798488 = V584228 + 1. assign V093762 = V972321 + 1. assign V759834 = V499666 - 1. assign V422994 = V862761 - 1. assign V893591 = V767288 - 1. assign V175243 = V089366 - 1. assign V457054 = V623828 - 1. assign V137823 = V156304. assign V054090 = V499666 - 1. assign V583561 = V601214 + 1. assign V783584 = V157260. assign V590323 = V964673 - 1. assign V059980 = V751350. assign V389832 = V318261 + 1. assign V807499 = V720737. assign V126886 = V948631 - 1. assign V824997 = V878967. assign V048471 = V807499 + 1. assign V956517 = V025191. assign V029399 = V152390 - 1. assign V025191 = V063347. assign V887214 = V048471. assign V428622 = V412532 + 1. assign V611802 = V151403 + 1. assign V948631 = V991387 - 1. assign V571592 = V868932 - 1. assign V596787 = V623828 - 1. assign V362905 = V396806 + 1. assign V565895 = V324059 + 1. assign V710108 = V824929. assign V412532 = V370578. assign V980313 = V167571 + 1. assign V700111 = V581269 + 1. assign V585448 = V085059. assign V769286 = V878967 - 1. assign V047565 = V463943 - 1. assign V408246 = V044064 + 1. assign V206813 = V751350 + 1. assign V064001 = V177457. assign V615953 = V954753 + 1. assign V965245 = V318261 + 1. assign V633343 = V785580 - 1. assign V499666 = V720737 - 1. assign V251292 = V543722. assign V525887 = V156304. assign V818687 = V029399 + 1. assign V157260 = V411817 + 1. assign V400786 = V741308. assign V308226 = V586233. assign V341427 = V751350 + 1. assign V369479 = V808516 - 1. assign V152390 = V824997 - 1. assign V907289 = V611572. assign V611572 = V190459 - 1. assign V972321 = V720737 - 1. assign V824929 = V807499 + 1. assign V261933 = V369479. assign V880668 = V583528 + 1. assign V411817 = V063347. assign V282291 = V059980. assign V825001 = V734782 - 1. assign V463943 = V318261 - 1. assign V442856 = V156304. assign V868932 = V807499 - 1. assign V063136 = V710108. assign V000482 = V054090 - 1. assign V964673 = V269099 - 1. assign V148578 = V734782 + 1. assign V125359 = V710108 - 1. assign V045380 = V912495 + 1. assign V614287 = V862761 - 1. assign V908760 = V305219 + 1. assign V210314 = V611572 - 1. assign V185385 = V341427 - 1. assign V934873 = V956517. assign V878967 = V807499. assign V734782 = V623828 - 1. assign V543722 = V297406 + 1. assign V623828 = V463943 + 1. assign V954753 = V367379. assign V372319 = V093762 + 1. assign V229621 = V206813. assign V944167 = V163885. assign V462200 = V685282 + 1. assign V044064 = V782116 + 1. assign V425355 = V300451 - 1. assign V177457 = V824997. assign V785580 = V571592. assign V923916 = V583528. assign V233774 = V991387 + 1. assign V583528 = V251292 - 1. assign V470201 = 10. assign V991387 = V412532 + 1. assign V543900 = V620531. assign V841971 = V362764. assign V239753 = V685282 - 1. assign V099301 = V470201. assign V190459 = V954753 + 1. assign V480162 = V685282 - 1. assign V912495 = V156304. assign V324059 = V063347. assign V747230 = V367379 - 1. assign V060326 = V923916 + 1. assign V433219 = V824997 - 1. assign V685282 = V093762 - 1. assign V620531 = V763992 - 1. assign V776486 = V060326 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV470201 = 10;\n\nFrom these direct assignment(s), we have: \nV099301 = V470201 = 10;\nNo other variables can be derived from V099301;\nNo other variables can be derived from V470201;\n\nNow we have done all the calculations. Derived variables are:\nV470201 = 10;\nV099301 = 10;\n\nNow we have finished this problem. ANSWER:\nV470201, V099301\n", "role": "assistant" } ]

[ "V607893" ]

[ { "content": "<context>\nassign V499208 = V064681. assign V801358 = V674462. assign V032520 = V499070 + 1. assign V064681 = V744234 - 1. assign V575755 = V710438 - 1. assign V939307 = V123369 + 1. assign V362525 = V377273. assign V052641 = V032520 + 1. assign V386066 = V300041. assign V217105 = V875826 + 1. assign V041153 = V674462 + 1. assign V735073 = V757530 + 1. assign V505009 = V160988 + 1. assign V913955 = V276963 + 1. assign V078634 = V710438 - 1. assign V608710 = V674462. assign V040842 = V894251 - 1. assign V831465 = V782642 + 1. assign V051060 = V499070. assign V761566 = V477200 + 1. assign V979607 = V918078. assign V895219 = V479917. assign V839818 = V041153 - 1. assign V894251 = V744234 + 1. assign V470808 = V301196 - 1. assign V171815 = V607893 - 1. assign V632562 = V217105. assign V678733 = V920590. assign V260925 = V831465. assign V300359 = V018631 - 1. assign V571378 = V488325 + 1. assign V215263 = V617929 - 1. assign V883991 = V801358 + 1. assign V898305 = V753129. assign V599580 = V074397 + 1. assign V160988 = V300041 + 1. assign V103533 = V222277 + 1. assign V955145 = V236620. assign V559807 = V493688. assign V029103 = V236620 - 1. assign V859799 = V754909. assign V972444 = V744234 + 1. assign V581104 = V111038. assign V754909 = V914029 + 1. assign V222277 = V710438 - 1. assign V277317 = V896445 + 1. assign V074397 = V018631 - 1. assign V052570 = V744234. assign V493688 = V064681. assign V123369 = V801358 + 1. assign V289329 = V496981 - 1. assign V772609 = V511119 + 1. assign V890745 = V559858. assign V268015 = V754909. assign V804179 = V103533. assign V266735 = V608710 + 1. assign V183292 = V479917 + 1. assign V920410 = V222277 + 1. assign V911215 = V089296 - 1. assign V052059 = V310035. assign V184609 = V060305 - 1. assign V868202 = V608710 + 1. assign V511119 = V499579 - 1. assign V853935 = V838810 - 1. assign V838810 = V674462 + 1. assign V499579 = V222277 - 1. assign V142260 = V519624 - 1. assign V139429 = V160988 + 1. assign V753129 = V744234 + 1. assign V488786 = V559858 - 1. assign V776342 = V377273 + 1. assign V875826 = V499579 - 1. assign V519624 = V493688 - 1. assign V317607 = V678733. assign V434190 = V689612 + 1. assign V137738 = V950180 + 1. assign V795478 = V559858 + 1. assign V499070 = V236620 + 1. assign V914029 = V236620. assign V398727 = V040842. assign V854460 = V564102 + 1. assign V128621 = V103533. assign V029998 = V873956. assign V488325 = V064681. assign V975078 = V744234 + 1. assign V203020 = V335439. assign V446869 = V811608 - 1. assign V240748 = V089296 + 1. assign V335439 = V493688 + 1. assign V782642 = V744234 - 1. assign V454342 = V966578. assign V689612 = V559858 - 1. assign V286012 = V103533. assign V175364 = V217105. assign V479917 = V074397. assign V599929 = V559807 + 1. assign V975239 = V950180 + 1. assign V539818 = V811608 - 1. assign V088342 = V898305 - 1. assign V723962 = V858686. assign V748617 = V761566 - 1. assign V301196 = V128621. assign V446051 = V128621 - 1. assign V018631 = V898305. assign V757530 = V754909 - 1. assign V837850 = V493688. assign V230401 = V297720 - 1. assign V120363 = V286012 + 1. assign V564102 = V608710 + 1. assign V022679 = V729393 - 1. assign V060305 = V975078 - 1. assign V133182 = V488325 - 1. assign V624068 = V753129. assign V612241 = V678730. assign V504855 = V499070 - 1. assign V809739 = V477200. assign V918078 = V612241. assign V710438 = V744234 - 1. assign V610781 = V581104. assign V089296 = V493688. assign V687695 = V496981 - 1. assign V639203 = V920410. assign V858686 = V103533. assign V376391 = V586757. assign V562127 = V921783 + 1. assign V920590 = V559807. assign V303250 = V559858. assign V366566 = V782642 + 1. assign V678730 = V674462 - 1. assign V983530 = V511119 - 1. assign V477200 = V242174 + 1. assign V236620 = V097995 + 1. assign V778589 = V499579. assign V377273 = V782642 + 1. assign V921783 = V088342 + 1. assign V483941 = V088342 + 1. assign V144210 = V723962 - 1. assign V586757 = V753129 + 1. assign V242174 = V839818 + 1. assign V300041 = V898305 - 1. assign V111038 = V398727 - 1. assign V811608 = V559807 + 1. assign V776967 = V837850. assign V435936 = V377273. assign V617929 = V776342 + 1. assign V496981 = V041153 + 1. assign V300937 = V837850 + 1. assign V297720 = V918078. assign V488081 = V120363 - 1. assign V533151 = V776967. assign V276963 = V838810 + 1. assign V927714 = V890745 - 1. assign V873956 = V479917 - 1. assign V674462 = V744234. assign V966578 = V074397 - 1. assign V372651 = V128621. assign V559858 = V435936 - 1. assign V703765 = V377273 - 1. assign V139134 = V559858 - 1. assign V708259 = V142260. assign V097995 = V377273 + 1. assign V896445 = V920590 + 1. assign V607893 = 5. assign V824590 = V052570 + 1. assign V729393 = V060305 + 1. assign V667896 = V454342 + 1. assign V310035 = V103533 + 1. assign V816501 = V137738 + 1. assign V161001 = V398727. assign V673575 = V300041 - 1. assign V950180 = V710438 - 1. assign V369908 = V710438 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V499208 = V064681. assign V801358 = V674462. assign V032520 = V499070 + 1. assign V064681 = V744234 - 1. assign V575755 = V710438 - 1. assign V939307 = V123369 + 1. assign V362525 = V377273. assign V052641 = V032520 + 1. assign V386066 = V300041. assign V217105 = V875826 + 1. assign V041153 = V674462 + 1. assign V735073 = V757530 + 1. assign V505009 = V160988 + 1. assign V913955 = V276963 + 1. assign V078634 = V710438 - 1. assign V608710 = V674462. assign V040842 = V894251 - 1. assign V831465 = V782642 + 1. assign V051060 = V499070. assign V761566 = V477200 + 1. assign V979607 = V918078. assign V895219 = V479917. assign V839818 = V041153 - 1. assign V894251 = V744234 + 1. assign V470808 = V301196 - 1. assign V171815 = V607893 - 1. assign V632562 = V217105. assign V678733 = V920590. assign V260925 = V831465. assign V300359 = V018631 - 1. assign V571378 = V488325 + 1. assign V215263 = V617929 - 1. assign V883991 = V801358 + 1. assign V898305 = V753129. assign V599580 = V074397 + 1. assign V160988 = V300041 + 1. assign V103533 = V222277 + 1. assign V955145 = V236620. assign V559807 = V493688. assign V029103 = V236620 - 1. assign V859799 = V754909. assign V972444 = V744234 + 1. assign V581104 = V111038. assign V754909 = V914029 + 1. assign V222277 = V710438 - 1. assign V277317 = V896445 + 1. assign V074397 = V018631 - 1. assign V052570 = V744234. assign V493688 = V064681. assign V123369 = V801358 + 1. assign V289329 = V496981 - 1. assign V772609 = V511119 + 1. assign V890745 = V559858. assign V268015 = V754909. assign V804179 = V103533. assign V266735 = V608710 + 1. assign V183292 = V479917 + 1. assign V920410 = V222277 + 1. assign V911215 = V089296 - 1. assign V052059 = V310035. assign V184609 = V060305 - 1. assign V868202 = V608710 + 1. assign V511119 = V499579 - 1. assign V853935 = V838810 - 1. assign V838810 = V674462 + 1. assign V499579 = V222277 - 1. assign V142260 = V519624 - 1. assign V139429 = V160988 + 1. assign V753129 = V744234 + 1. assign V488786 = V559858 - 1. assign V776342 = V377273 + 1. assign V875826 = V499579 - 1. assign V519624 = V493688 - 1. assign V317607 = V678733. assign V434190 = V689612 + 1. assign V137738 = V950180 + 1. assign V795478 = V559858 + 1. assign V499070 = V236620 + 1. assign V914029 = V236620. assign V398727 = V040842. assign V854460 = V564102 + 1. assign V128621 = V103533. assign V029998 = V873956. assign V488325 = V064681. assign V975078 = V744234 + 1. assign V203020 = V335439. assign V446869 = V811608 - 1. assign V240748 = V089296 + 1. assign V335439 = V493688 + 1. assign V782642 = V744234 - 1. assign V454342 = V966578. assign V689612 = V559858 - 1. assign V286012 = V103533. assign V175364 = V217105. assign V479917 = V074397. assign V599929 = V559807 + 1. assign V975239 = V950180 + 1. assign V539818 = V811608 - 1. assign V088342 = V898305 - 1. assign V723962 = V858686. assign V748617 = V761566 - 1. assign V301196 = V128621. assign V446051 = V128621 - 1. assign V018631 = V898305. assign V757530 = V754909 - 1. assign V837850 = V493688. assign V230401 = V297720 - 1. assign V120363 = V286012 + 1. assign V564102 = V608710 + 1. assign V022679 = V729393 - 1. assign V060305 = V975078 - 1. assign V133182 = V488325 - 1. assign V624068 = V753129. assign V612241 = V678730. assign V504855 = V499070 - 1. assign V809739 = V477200. assign V918078 = V612241. assign V710438 = V744234 - 1. assign V610781 = V581104. assign V089296 = V493688. assign V687695 = V496981 - 1. assign V639203 = V920410. assign V858686 = V103533. assign V376391 = V586757. assign V562127 = V921783 + 1. assign V920590 = V559807. assign V303250 = V559858. assign V366566 = V782642 + 1. assign V678730 = V674462 - 1. assign V983530 = V511119 - 1. assign V477200 = V242174 + 1. assign V236620 = V097995 + 1. assign V778589 = V499579. assign V377273 = V782642 + 1. assign V921783 = V088342 + 1. assign V483941 = V088342 + 1. assign V144210 = V723962 - 1. assign V586757 = V753129 + 1. assign V242174 = V839818 + 1. assign V300041 = V898305 - 1. assign V111038 = V398727 - 1. assign V811608 = V559807 + 1. assign V776967 = V837850. assign V435936 = V377273. assign V617929 = V776342 + 1. assign V496981 = V041153 + 1. assign V300937 = V837850 + 1. assign V297720 = V918078. assign V488081 = V120363 - 1. assign V533151 = V776967. assign V276963 = V838810 + 1. assign V927714 = V890745 - 1. assign V873956 = V479917 - 1. assign V674462 = V744234. assign V966578 = V074397 - 1. assign V372651 = V128621. assign V559858 = V435936 - 1. assign V703765 = V377273 - 1. assign V139134 = V559858 - 1. assign V708259 = V142260. assign V097995 = V377273 + 1. assign V896445 = V920590 + 1. assign V607893 = 5. assign V824590 = V052570 + 1. assign V729393 = V060305 + 1. assign V667896 = V454342 + 1. assign V310035 = V103533 + 1. assign V816501 = V137738 + 1. assign V161001 = V398727. assign V673575 = V300041 - 1. assign V950180 = V710438 - 1. assign V369908 = V710438 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV607893 = 5;\n\nFrom these direct assignment(s), we have: \nV171815 = V607893 - 1 = 5 - 1 =4;\nNo other variables can be derived from V171815;\nNo other variables can be derived from V607893;\n\nNow we have done all the calculations. Derived variables are:\nV607893 = 5;\nV171815 = 4;\n\nNow we have finished this problem. ANSWER:\nV607893\n", "role": "assistant" } ]

[ "V941886" ]

[ { "content": "<context>\nassign V775634 = V203311. assign V039090 = V842398 - 1. assign V230876 = V898343 + 1. assign V581014 = V138268. assign V335209 = V576202 - 1. assign V000787 = V147863 - 1. assign V307254 = V442466 + 1. assign V100919 = V558547. assign V103517 = V238665 + 1. assign V970371 = V076568 - 1. assign V840395 = V355745 + 1. assign V496369 = V613292 + 1. assign V989777 = V865816. assign V136674 = V874200. assign V480548 = V100919 + 1. assign V485246 = V308863 + 1. assign V004107 = V227683 - 1. assign V477051 = V672999 + 1. assign V279044 = V133837. assign V763519 = V355930 + 1. assign V308863 = V103517 - 1. assign V980554 = V260355 - 1. assign V976626 = V260355 - 1. assign V953805 = V163785 + 1. assign V673742 = V477051. assign V742275 = V951475 + 1. assign V797509 = V293074 + 1. assign V736152 = V906536. assign V694278 = V786640 - 1. assign V442466 = V653980 - 1. assign V283603 = V364740 - 1. assign V364740 = V504726. assign V689694 = V491672 - 1. assign V604047 = V203311 + 1. assign V571554 = V163785 + 1. assign V331096 = V227683 - 1. assign V056619 = V807229 + 1. assign V100316 = V604047 - 1. assign V727248 = V128289 - 1. assign V623299 = V308405 - 1. assign V029971 = V736152 + 1. assign V788900 = V800886 + 1. assign V492689 = V371848 - 1. assign V378856 = V491672. assign V481837 = V163785 - 1. assign V013160 = V365682 + 1. assign V355930 = V238665 - 1. assign V994242 = V355930 - 1. assign V293074 = V392031 + 1. assign V695432 = V120403 - 1. assign V174046 = V316749 - 1. assign V342256 = V629472. assign V133837 = V147863 + 1. assign V630618 = V492689 + 1. assign V065434 = V385058 + 1. assign V887000 = V571554 + 1. assign V558547 = V227683 - 1. assign V219599 = V842398 + 1. assign V941886 = V699400 - 1. assign V989953 = V338387 - 1. assign V170138 = V076568 + 1. assign V388842 = V970371. assign V120403 = V672999 - 1. assign V640824 = V392031 - 1. assign V314774 = V388842. assign V707415 = V807229 + 1. assign V131212 = V970371 + 1. assign V004288 = V355930 - 1. assign V825509 = V515522 - 1. assign V872913 = V387188. assign V898343 = V170138 - 1. assign V076568 = V576202 - 1. assign V951475 = V355930. assign V433073 = V874200 - 1. assign V027819 = V672999 - 1. assign V831583 = V230876 + 1. assign V391706 = V308405 - 1. assign V656540 = V371848 - 1. assign V308405 = V331096 - 1. assign V708667 = V323018. assign V897843 = V227683 - 1. assign V842398 = V970371 + 1. assign V128289 = V855788. assign V498650 = V492689 + 1. assign V567913 = V119182. assign V874200 = V491672 - 1. assign V234728 = V630048. assign V616372 = V735681 + 1. assign V837612 = V455075 - 1. assign V613292 = V491672 - 1. assign V775510 = V707889 - 1. assign V332347 = V872913 - 1. assign V276631 = V613292. assign V807229 = V308863. assign V719598 = V994242. assign V400853 = V323018. assign V675207 = V788900. assign V117477 = V039090. assign V328335 = V653980 - 1. assign V119182 = V076568 - 1. assign V355745 = V837612 + 1. assign V707889 = V970371 - 1. assign V962320 = V480548 - 1. assign V859852 = V056619 + 1. assign V169430 = V842398. assign V387188 = V653980. assign V439389 = V331096 + 1. assign V338387 = V392031 + 1. assign V200846 = V571554 - 1. assign V442995 = V307254 - 1. assign V630048 = V004107 + 1. assign V046121 = V694278 + 1. assign V385058 = V147863. assign V203311 = V613292 + 1. assign V169821 = V481837 - 1. assign V515522 = V859852. assign V371848 = V613292. assign V633356 = V630048 + 1. assign V260545 = V786640 - 1. assign V392031 = V378856 - 1. assign V859366 = V865816. assign V785726 = V953805 + 1. assign V865816 = V970371 + 1. assign V049532 = V119182. assign V885922 = V548999 + 1. assign V260355 = V623299. assign V316749 = V855788. assign V848592 = V978171. assign V909304 = V136674 + 1. assign V978171 = V548999 - 1. assign V699400 = 0. assign V137157 = V623299 + 1. assign V147863 = V371848 - 1. assign V576838 = V707889 - 1. assign V629472 = V179950 + 1. assign V576202 = V331096 - 1. assign V906536 = V004107 - 1. assign V850493 = V170138 + 1. assign V548999 = V335209. assign V504726 = V128289 - 1. assign V365682 = V169430 + 1. assign V377487 = V872913. assign V672999 = V276631 - 1. assign V163785 = V477853 - 1. assign V179950 = V276631 + 1. assign V919535 = V378856. assign V538095 = V477853. assign V485046 = V293074 - 1. assign V786640 = V656540 + 1. assign V977202 = V371848 - 1. assign V892613 = V672999. assign V653980 = V238665. assign V620495 = V970371 + 1. assign V735681 = V137157 - 1. assign V153734 = V695432 + 1. assign V323018 = V170138. assign V800886 = V874200 + 1. assign V138268 = V640824 + 1. assign V238665 = V227683. assign V976764 = V227683 - 1. assign V585463 = V477853. assign V580622 = V630048. assign V868938 = V442466. assign V455075 = V238665 - 1. assign V790555 = V200846. assign V855788 = V735681 + 1. assign V610696 = V179950. assign V491672 = V227683. assign V807624 = V859366 - 1. assign V431042 = V887000 - 1. assign V477853 = V331096 + 1. assign V933302 = V364740 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V775634 = V203311. assign V039090 = V842398 - 1. assign V230876 = V898343 + 1. assign V581014 = V138268. assign V335209 = V576202 - 1. assign V000787 = V147863 - 1. assign V307254 = V442466 + 1. assign V100919 = V558547. assign V103517 = V238665 + 1. assign V970371 = V076568 - 1. assign V840395 = V355745 + 1. assign V496369 = V613292 + 1. assign V989777 = V865816. assign V136674 = V874200. assign V480548 = V100919 + 1. assign V485246 = V308863 + 1. assign V004107 = V227683 - 1. assign V477051 = V672999 + 1. assign V279044 = V133837. assign V763519 = V355930 + 1. assign V308863 = V103517 - 1. assign V980554 = V260355 - 1. assign V976626 = V260355 - 1. assign V953805 = V163785 + 1. assign V673742 = V477051. assign V742275 = V951475 + 1. assign V797509 = V293074 + 1. assign V736152 = V906536. assign V694278 = V786640 - 1. assign V442466 = V653980 - 1. assign V283603 = V364740 - 1. assign V364740 = V504726. assign V689694 = V491672 - 1. assign V604047 = V203311 + 1. assign V571554 = V163785 + 1. assign V331096 = V227683 - 1. assign V056619 = V807229 + 1. assign V100316 = V604047 - 1. assign V727248 = V128289 - 1. assign V623299 = V308405 - 1. assign V029971 = V736152 + 1. assign V788900 = V800886 + 1. assign V492689 = V371848 - 1. assign V378856 = V491672. assign V481837 = V163785 - 1. assign V013160 = V365682 + 1. assign V355930 = V238665 - 1. assign V994242 = V355930 - 1. assign V293074 = V392031 + 1. assign V695432 = V120403 - 1. assign V174046 = V316749 - 1. assign V342256 = V629472. assign V133837 = V147863 + 1. assign V630618 = V492689 + 1. assign V065434 = V385058 + 1. assign V887000 = V571554 + 1. assign V558547 = V227683 - 1. assign V219599 = V842398 + 1. assign V941886 = V699400 - 1. assign V989953 = V338387 - 1. assign V170138 = V076568 + 1. assign V388842 = V970371. assign V120403 = V672999 - 1. assign V640824 = V392031 - 1. assign V314774 = V388842. assign V707415 = V807229 + 1. assign V131212 = V970371 + 1. assign V004288 = V355930 - 1. assign V825509 = V515522 - 1. assign V872913 = V387188. assign V898343 = V170138 - 1. assign V076568 = V576202 - 1. assign V951475 = V355930. assign V433073 = V874200 - 1. assign V027819 = V672999 - 1. assign V831583 = V230876 + 1. assign V391706 = V308405 - 1. assign V656540 = V371848 - 1. assign V308405 = V331096 - 1. assign V708667 = V323018. assign V897843 = V227683 - 1. assign V842398 = V970371 + 1. assign V128289 = V855788. assign V498650 = V492689 + 1. assign V567913 = V119182. assign V874200 = V491672 - 1. assign V234728 = V630048. assign V616372 = V735681 + 1. assign V837612 = V455075 - 1. assign V613292 = V491672 - 1. assign V775510 = V707889 - 1. assign V332347 = V872913 - 1. assign V276631 = V613292. assign V807229 = V308863. assign V719598 = V994242. assign V400853 = V323018. assign V675207 = V788900. assign V117477 = V039090. assign V328335 = V653980 - 1. assign V119182 = V076568 - 1. assign V355745 = V837612 + 1. assign V707889 = V970371 - 1. assign V962320 = V480548 - 1. assign V859852 = V056619 + 1. assign V169430 = V842398. assign V387188 = V653980. assign V439389 = V331096 + 1. assign V338387 = V392031 + 1. assign V200846 = V571554 - 1. assign V442995 = V307254 - 1. assign V630048 = V004107 + 1. assign V046121 = V694278 + 1. assign V385058 = V147863. assign V203311 = V613292 + 1. assign V169821 = V481837 - 1. assign V515522 = V859852. assign V371848 = V613292. assign V633356 = V630048 + 1. assign V260545 = V786640 - 1. assign V392031 = V378856 - 1. assign V859366 = V865816. assign V785726 = V953805 + 1. assign V865816 = V970371 + 1. assign V049532 = V119182. assign V885922 = V548999 + 1. assign V260355 = V623299. assign V316749 = V855788. assign V848592 = V978171. assign V909304 = V136674 + 1. assign V978171 = V548999 - 1. assign V699400 = 0. assign V137157 = V623299 + 1. assign V147863 = V371848 - 1. assign V576838 = V707889 - 1. assign V629472 = V179950 + 1. assign V576202 = V331096 - 1. assign V906536 = V004107 - 1. assign V850493 = V170138 + 1. assign V548999 = V335209. assign V504726 = V128289 - 1. assign V365682 = V169430 + 1. assign V377487 = V872913. assign V672999 = V276631 - 1. assign V163785 = V477853 - 1. assign V179950 = V276631 + 1. assign V919535 = V378856. assign V538095 = V477853. assign V485046 = V293074 - 1. assign V786640 = V656540 + 1. assign V977202 = V371848 - 1. assign V892613 = V672999. assign V653980 = V238665. assign V620495 = V970371 + 1. assign V735681 = V137157 - 1. assign V153734 = V695432 + 1. assign V323018 = V170138. assign V800886 = V874200 + 1. assign V138268 = V640824 + 1. assign V238665 = V227683. assign V976764 = V227683 - 1. assign V585463 = V477853. assign V580622 = V630048. assign V868938 = V442466. assign V455075 = V238665 - 1. assign V790555 = V200846. assign V855788 = V735681 + 1. assign V610696 = V179950. assign V491672 = V227683. assign V807624 = V859366 - 1. assign V431042 = V887000 - 1. assign V477853 = V331096 + 1. assign V933302 = V364740 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV699400 = 0;\n\nFrom these direct assignment(s), we have: \nV941886 = V699400 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V941886;\nNo other variables can be derived from V699400;\n\nNow we have done all the calculations. Derived variables are:\nV699400 = 0;\nV941886 = -1;\n\nNow we have finished this problem. ANSWER:\nV941886\n", "role": "assistant" } ]

[ "V284566" ]

[ { "content": "<context>\nassign V214181 = V855239 + 1. assign V955129 = V699156. assign V264406 = V917564. assign V409434 = V862711. assign V488095 = V717545 + 1. assign V440257 = V921194 - 1. assign V510415 = V285056. assign V138149 = V904075. assign V717545 = V855239. assign V471001 = V942390 + 1. assign V633426 = V860510 - 1. assign V750541 = V563784 + 1. assign V705323 = V695888. assign V108818 = V862711 + 1. assign V827959 = V140569 + 1. assign V931065 = V867180 - 1. assign V942390 = V043470 + 1. assign V834196 = V684070 + 1. assign V478400 = V193931 + 1. assign V042117 = V193931. assign V438476 = V635846. assign V106293 = V682116. assign V587317 = V075104 - 1. assign V742565 = V533550 + 1. assign V102968 = V635846 + 1. assign V031130 = V440257 - 1. assign V018823 = V393767 - 1. assign V882749 = V460742 - 1. assign V006813 = V036625. assign V336986 = V808387. assign V642291 = V193931 - 1. assign V618024 = V456745 + 1. assign V582506 = V699156. assign V043470 = V682116 - 1. assign V068178 = V285056 - 1. assign V036374 = V082950 - 1. assign V365087 = V082950 - 1. assign V921194 = V635846. assign V130418 = V682116 - 1. assign V225502 = V393767. assign V826699 = V098061 + 1. assign V565007 = V098061. assign V904075 = V225502. assign V224240 = V804716. assign V472596 = V804716. assign V285056 = V084943. assign V007997 = V244021 - 1. assign V073690 = V642291 + 1. assign V409236 = V084943 - 1. assign V141184 = V826699 + 1. assign V866772 = V818800. assign V460742 = V393767. assign V998435 = V565007. assign V695888 = V193931 + 1. assign V074885 = V751109 - 1. assign V855239 = V393767. assign V610740 = V565007 - 1. assign V684070 = V214181 - 1. assign V699156 = V438476 - 1. assign V136330 = V372985. assign V785616 = V475741 + 1. assign V091793 = V133863 + 1. assign V658336 = V214181 + 1. assign V087482 = V808856 - 1. assign V205173 = V998435 - 1. assign V961264 = V533550 + 1. assign V456745 = V275313. assign V335269 = V018823 + 1. assign V691740 = V565007. assign V275313 = V565007 + 1. assign V074810 = V146150 + 1. assign V812960 = V938626 - 1. assign V075104 = V130418. assign V843304 = V685143 - 1. assign V546367 = V750541 - 1. assign V685143 = V565007 + 1. assign V971984 = V955129 - 1. assign V633268 = V955129. assign V751109 = V460742 + 1. assign V036625 = V530940 - 1. assign V098061 = V372985 - 1. assign V358017 = V691740 + 1. assign V074491 = V530940 + 1. assign V372985 = V938626. assign V893357 = V611058 + 1. assign V165328 = V372985 - 1. assign V341720 = V192045 + 1. assign V077247 = V362341. assign V862711 = V225502. assign V808387 = V193931 - 1. assign V635846 = V938626 + 1. assign V146150 = V478400. assign V048166 = V812960. assign V244021 = V364976 - 1. assign V168436 = V369083 + 1. assign V563784 = V685143 + 1. assign V611058 = V642291 - 1. assign V075672 = V565007. assign V549562 = V844790 - 1. assign V052360 = V478400 + 1. assign V841002 = V248214 - 1. assign V886061 = V146150. assign V539435 = V082428. assign V275272 = V225502. assign V501414 = V961264 + 1. assign V099813 = V642291. assign V533550 = V106293. assign V808856 = V361292. assign V393767 = V844790 + 1. assign V917564 = V867180 - 1. assign V412289 = V478400 + 1. assign V588743 = V695888 - 1. assign V362341 = V141184 + 1. assign V601653 = V685143 + 1. assign V140968 = V563784 - 1. assign V282289 = V193931 - 1. assign V669552 = V635846 - 1. assign V929487 = V841002 + 1. assign V272886 = V460742. assign V228466 = V691740. assign V291218 = V938626 - 1. assign V140569 = V136330. assign V557592 = V501414 + 1. assign V756062 = V393767. assign V282662 = 0. assign V818800 = V533550 + 1. assign V393894 = V073690. assign V133863 = V285056 + 1. assign V084943 = V844790. assign V361457 = V685143 - 1. assign V082950 = V193931. assign V844790 = V812960 - 1. assign V386884 = V398702 - 1. assign V614868 = V610740 - 1. assign V109377 = V362862 - 1. assign V085178 = V084943 + 1. assign V723211 = V587317 + 1. assign V993315 = V095616 - 1. assign V004937 = V938626. assign V192045 = V214181 + 1. assign V243447 = V248214 - 1. assign V284566 = V282662 + 1. assign V398702 = V291218 - 1. assign V388185 = V393767 - 1. assign V110853 = V108818. assign V364976 = V841002 + 1. assign V646124 = V275272 - 1. assign V867180 = V574603 + 1. assign V342331 = V699156. assign V361292 = V106293 - 1. assign V574603 = V098061 + 1. assign V369083 = V165328 + 1. assign V227288 = V095616. assign V444400 = V804716. assign V193931 = V291218 + 1. assign V179453 = V043470. assign V238175 = V048166 + 1. assign V682116 = V669552. assign V804716 = V530940 - 1. assign V860510 = V409434 + 1. assign V362862 = V074491 - 1. assign V530940 = V642291 - 1. assign V095616 = V043470 - 1. assign V664698 = V684070. assign V266376 = V084943. assign V614548 = V478400 - 1. assign V976806 = V291218. assign V082428 = V860510. assign V121809 = V409434 - 1. assign V270507 = V248214. assign V475741 = V393894 + 1. assign V248214 = V998435 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V214181 = V855239 + 1. assign V955129 = V699156. assign V264406 = V917564. assign V409434 = V862711. assign V488095 = V717545 + 1. assign V440257 = V921194 - 1. assign V510415 = V285056. assign V138149 = V904075. assign V717545 = V855239. assign V471001 = V942390 + 1. assign V633426 = V860510 - 1. assign V750541 = V563784 + 1. assign V705323 = V695888. assign V108818 = V862711 + 1. assign V827959 = V140569 + 1. assign V931065 = V867180 - 1. assign V942390 = V043470 + 1. assign V834196 = V684070 + 1. assign V478400 = V193931 + 1. assign V042117 = V193931. assign V438476 = V635846. assign V106293 = V682116. assign V587317 = V075104 - 1. assign V742565 = V533550 + 1. assign V102968 = V635846 + 1. assign V031130 = V440257 - 1. assign V018823 = V393767 - 1. assign V882749 = V460742 - 1. assign V006813 = V036625. assign V336986 = V808387. assign V642291 = V193931 - 1. assign V618024 = V456745 + 1. assign V582506 = V699156. assign V043470 = V682116 - 1. assign V068178 = V285056 - 1. assign V036374 = V082950 - 1. assign V365087 = V082950 - 1. assign V921194 = V635846. assign V130418 = V682116 - 1. assign V225502 = V393767. assign V826699 = V098061 + 1. assign V565007 = V098061. assign V904075 = V225502. assign V224240 = V804716. assign V472596 = V804716. assign V285056 = V084943. assign V007997 = V244021 - 1. assign V073690 = V642291 + 1. assign V409236 = V084943 - 1. assign V141184 = V826699 + 1. assign V866772 = V818800. assign V460742 = V393767. assign V998435 = V565007. assign V695888 = V193931 + 1. assign V074885 = V751109 - 1. assign V855239 = V393767. assign V610740 = V565007 - 1. assign V684070 = V214181 - 1. assign V699156 = V438476 - 1. assign V136330 = V372985. assign V785616 = V475741 + 1. assign V091793 = V133863 + 1. assign V658336 = V214181 + 1. assign V087482 = V808856 - 1. assign V205173 = V998435 - 1. assign V961264 = V533550 + 1. assign V456745 = V275313. assign V335269 = V018823 + 1. assign V691740 = V565007. assign V275313 = V565007 + 1. assign V074810 = V146150 + 1. assign V812960 = V938626 - 1. assign V075104 = V130418. assign V843304 = V685143 - 1. assign V546367 = V750541 - 1. assign V685143 = V565007 + 1. assign V971984 = V955129 - 1. assign V633268 = V955129. assign V751109 = V460742 + 1. assign V036625 = V530940 - 1. assign V098061 = V372985 - 1. assign V358017 = V691740 + 1. assign V074491 = V530940 + 1. assign V372985 = V938626. assign V893357 = V611058 + 1. assign V165328 = V372985 - 1. assign V341720 = V192045 + 1. assign V077247 = V362341. assign V862711 = V225502. assign V808387 = V193931 - 1. assign V635846 = V938626 + 1. assign V146150 = V478400. assign V048166 = V812960. assign V244021 = V364976 - 1. assign V168436 = V369083 + 1. assign V563784 = V685143 + 1. assign V611058 = V642291 - 1. assign V075672 = V565007. assign V549562 = V844790 - 1. assign V052360 = V478400 + 1. assign V841002 = V248214 - 1. assign V886061 = V146150. assign V539435 = V082428. assign V275272 = V225502. assign V501414 = V961264 + 1. assign V099813 = V642291. assign V533550 = V106293. assign V808856 = V361292. assign V393767 = V844790 + 1. assign V917564 = V867180 - 1. assign V412289 = V478400 + 1. assign V588743 = V695888 - 1. assign V362341 = V141184 + 1. assign V601653 = V685143 + 1. assign V140968 = V563784 - 1. assign V282289 = V193931 - 1. assign V669552 = V635846 - 1. assign V929487 = V841002 + 1. assign V272886 = V460742. assign V228466 = V691740. assign V291218 = V938626 - 1. assign V140569 = V136330. assign V557592 = V501414 + 1. assign V756062 = V393767. assign V282662 = 0. assign V818800 = V533550 + 1. assign V393894 = V073690. assign V133863 = V285056 + 1. assign V084943 = V844790. assign V361457 = V685143 - 1. assign V082950 = V193931. assign V844790 = V812960 - 1. assign V386884 = V398702 - 1. assign V614868 = V610740 - 1. assign V109377 = V362862 - 1. assign V085178 = V084943 + 1. assign V723211 = V587317 + 1. assign V993315 = V095616 - 1. assign V004937 = V938626. assign V192045 = V214181 + 1. assign V243447 = V248214 - 1. assign V284566 = V282662 + 1. assign V398702 = V291218 - 1. assign V388185 = V393767 - 1. assign V110853 = V108818. assign V364976 = V841002 + 1. assign V646124 = V275272 - 1. assign V867180 = V574603 + 1. assign V342331 = V699156. assign V361292 = V106293 - 1. assign V574603 = V098061 + 1. assign V369083 = V165328 + 1. assign V227288 = V095616. assign V444400 = V804716. assign V193931 = V291218 + 1. assign V179453 = V043470. assign V238175 = V048166 + 1. assign V682116 = V669552. assign V804716 = V530940 - 1. assign V860510 = V409434 + 1. assign V362862 = V074491 - 1. assign V530940 = V642291 - 1. assign V095616 = V043470 - 1. assign V664698 = V684070. assign V266376 = V084943. assign V614548 = V478400 - 1. assign V976806 = V291218. assign V082428 = V860510. assign V121809 = V409434 - 1. assign V270507 = V248214. assign V475741 = V393894 + 1. assign V248214 = V998435 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV282662 = 0;\n\nFrom these direct assignment(s), we have: \nV284566 = V282662 + 1 = 0 + 1 =1;\nNo other variables can be derived from V284566;\nNo other variables can be derived from V282662;\n\nNow we have done all the calculations. Derived variables are:\nV282662 = 0;\nV284566 = 1;\n\nNow we have finished this problem. ANSWER:\nV284566\n", "role": "assistant" } ]

[ "V413822" ]

[ { "content": "<context>\nassign V752517 = V106806. assign V898206 = V833371. assign V674909 = V550620. assign V716228 = V865572 - 1. assign V571057 = V628556 - 1. assign V374054 = V106806 - 1. assign V440106 = V634692 - 1. assign V120445 = V875055 + 1. assign V684858 = V188024 + 1. assign V655278 = V432662 + 1. assign V503955 = V090797 + 1. assign V931095 = V388045 + 1. assign V833371 = V964332 - 1. assign V302289 = V571057 - 1. assign V532830 = V609942 + 1. assign V776598 = V280482 - 1. assign V775528 = V684858 - 1. assign V329606 = V248598 - 1. assign V123252 = V338381. assign V608107 = V152023 + 1. assign V762828 = V957821 + 1. assign V957721 = V130172. assign V628556 = V497618 + 1. assign V573565 = V777916 - 1. assign V749009 = V719270 - 1. assign V631553 = V803169 + 1. assign V075444 = V708834 + 1. assign V292963 = V104600. assign V793491 = V634692. assign V117361 = V090797. assign V609942 = V073883 - 1. assign V708479 = V760018 + 1. assign V433065 = V085253 - 1. assign V633798 = V980467 + 1. assign V040458 = V609942 + 1. assign V770275 = V104600 - 1. assign V781701 = V492291 + 1. assign V248598 = V432662 - 1. assign V546269 = V292963 + 1. assign V148472 = V823776. assign V760018 = V749009. assign V913705 = V064066 - 1. assign V036835 = V964332 + 1. assign V710159 = V898206 + 1. assign V281555 = V534157 - 1. assign V587993 = V517064 - 1. assign V280482 = V968692. assign V719270 = V497618. assign V253898 = V857772 - 1. assign V012847 = V033213 - 1. assign V085999 = V281555 - 1. assign V779169 = V957821 - 1. assign V240522 = V589391 - 1. assign V564101 = V374054 + 1. assign V875055 = V589391 + 1. assign V845219 = V036835 + 1. assign V307649 = V375939 - 1. assign V364696 = V437623 + 1. assign V476319 = V931095 - 1. assign V033213 = V281555. assign V239411 = V968692. assign V261020 = V651893. assign V838470 = V036835 - 1. assign V634692 = V325795 + 1. assign V534157 = V589391 + 1. assign V716657 = V982619 - 1. assign V995676 = V517064. assign V388045 = V831717 - 1. assign V786145 = V885299 + 1. assign V176273 = V123252. assign V970784 = V803169 + 1. assign V798394 = V758347 - 1. assign V150416 = V875055. assign V865572 = V990905. assign V292193 = V104600 - 1. assign V570091 = V803169 + 1. assign V073883 = V589391 - 1. assign V131515 = V033213. assign V079154 = V281555 - 1. assign V741372 = V823776. assign V405368 = V712993 - 1. assign V197772 = V960959. assign V777916 = V329606. assign V641485 = V015312. assign V338381 = V803169. assign V742465 = V074056. assign V127932 = V281555. assign V608310 = V960959. assign V759056 = V634692 + 1. assign V458797 = V713986 - 1. assign V713986 = V651893. assign V515807 = V503955 + 1. assign V413822 = V838026 + 1. assign V708834 = V825927 - 1. assign V307169 = V762828. assign V885299 = V713986. assign V347685 = V150416 - 1. assign V497618 = V964332. assign V651893 = V497618 + 1. assign V982619 = V762828. assign V838026 = 0. assign V004889 = V776598 - 1. assign V250798 = V931095 + 1. assign V069554 = V857772. assign V857772 = V990905 + 1. assign V279452 = V036835 + 1. assign V758347 = V741372 + 1. assign V266058 = V150416. assign V389554 = V292963 - 1. assign V801329 = V762828. assign V152023 = V281555. assign V302500 = V374054 - 1. assign V179765 = V710159 - 1. assign V090797 = V980467. assign V589391 = V964332. assign V531430 = V651893 + 1. assign V507263 = V248598 - 1. assign V188024 = V589391. assign V512926 = V830713 + 1. assign V825927 = V857772 - 1. assign V831717 = V898206 - 1. assign V015312 = V550620. assign V104600 = V279452. assign V957821 = V279452. assign V803169 = V684858 + 1. assign V830713 = V188024 + 1. assign V530802 = V898206. assign V823776 = V760018 + 1. assign V537548 = V106806 - 1. assign V522056 = V085999 - 1. assign V689777 = V564101 + 1. assign V517064 = V036835. assign V024947 = V123252 - 1. assign V377706 = V589391 + 1. assign V712534 = V250798. assign V106806 = V036835 + 1. assign V990905 = V964332. assign V747269 = V589391. assign V550620 = V179765 + 1. assign V035282 = V150416 - 1. assign V085253 = V084501 + 1. assign V960959 = V104600 - 1. assign V232784 = V713986 + 1. assign V865476 = V079154 - 1. assign V522482 = V517064 + 1. assign V074056 = V589391. assign V326132 = V633798. assign V064066 = V497618. assign V942369 = V388045 - 1. assign V736658 = V374054 + 1. assign V084501 = V325795. assign V710702 = V085253 + 1. assign V375939 = V589391 - 1. assign V214916 = V279452 - 1. assign V437623 = V240522 - 1. assign V325795 = V964332 - 1. assign V792074 = V090797 + 1. assign V130172 = V035282 + 1. assign V980467 = V719270 + 1. assign V890242 = V120445. assign V435738 = V004889 - 1. assign V492291 = V302289 + 1. assign V935378 = V537548 - 1. assign V808809 = V960959 - 1. assign V813125 = V326132 + 1. assign V968692 = V497618 + 1. assign V326195 = V433065. assign V432662 = V710159 - 1. assign V724032 = V770275. assign V712993 = V781701 - 1. assign V089418 = V024947 - 1. assign V411404 = V990905 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V752517 = V106806. assign V898206 = V833371. assign V674909 = V550620. assign V716228 = V865572 - 1. assign V571057 = V628556 - 1. assign V374054 = V106806 - 1. assign V440106 = V634692 - 1. assign V120445 = V875055 + 1. assign V684858 = V188024 + 1. assign V655278 = V432662 + 1. assign V503955 = V090797 + 1. assign V931095 = V388045 + 1. assign V833371 = V964332 - 1. assign V302289 = V571057 - 1. assign V532830 = V609942 + 1. assign V776598 = V280482 - 1. assign V775528 = V684858 - 1. assign V329606 = V248598 - 1. assign V123252 = V338381. assign V608107 = V152023 + 1. assign V762828 = V957821 + 1. assign V957721 = V130172. assign V628556 = V497618 + 1. assign V573565 = V777916 - 1. assign V749009 = V719270 - 1. assign V631553 = V803169 + 1. assign V075444 = V708834 + 1. assign V292963 = V104600. assign V793491 = V634692. assign V117361 = V090797. assign V609942 = V073883 - 1. assign V708479 = V760018 + 1. assign V433065 = V085253 - 1. assign V633798 = V980467 + 1. assign V040458 = V609942 + 1. assign V770275 = V104600 - 1. assign V781701 = V492291 + 1. assign V248598 = V432662 - 1. assign V546269 = V292963 + 1. assign V148472 = V823776. assign V760018 = V749009. assign V913705 = V064066 - 1. assign V036835 = V964332 + 1. assign V710159 = V898206 + 1. assign V281555 = V534157 - 1. assign V587993 = V517064 - 1. assign V280482 = V968692. assign V719270 = V497618. assign V253898 = V857772 - 1. assign V012847 = V033213 - 1. assign V085999 = V281555 - 1. assign V779169 = V957821 - 1. assign V240522 = V589391 - 1. assign V564101 = V374054 + 1. assign V875055 = V589391 + 1. assign V845219 = V036835 + 1. assign V307649 = V375939 - 1. assign V364696 = V437623 + 1. assign V476319 = V931095 - 1. assign V033213 = V281555. assign V239411 = V968692. assign V261020 = V651893. assign V838470 = V036835 - 1. assign V634692 = V325795 + 1. assign V534157 = V589391 + 1. assign V716657 = V982619 - 1. assign V995676 = V517064. assign V388045 = V831717 - 1. assign V786145 = V885299 + 1. assign V176273 = V123252. assign V970784 = V803169 + 1. assign V798394 = V758347 - 1. assign V150416 = V875055. assign V865572 = V990905. assign V292193 = V104600 - 1. assign V570091 = V803169 + 1. assign V073883 = V589391 - 1. assign V131515 = V033213. assign V079154 = V281555 - 1. assign V741372 = V823776. assign V405368 = V712993 - 1. assign V197772 = V960959. assign V777916 = V329606. assign V641485 = V015312. assign V338381 = V803169. assign V742465 = V074056. assign V127932 = V281555. assign V608310 = V960959. assign V759056 = V634692 + 1. assign V458797 = V713986 - 1. assign V713986 = V651893. assign V515807 = V503955 + 1. assign V413822 = V838026 + 1. assign V708834 = V825927 - 1. assign V307169 = V762828. assign V885299 = V713986. assign V347685 = V150416 - 1. assign V497618 = V964332. assign V651893 = V497618 + 1. assign V982619 = V762828. assign V838026 = 0. assign V004889 = V776598 - 1. assign V250798 = V931095 + 1. assign V069554 = V857772. assign V857772 = V990905 + 1. assign V279452 = V036835 + 1. assign V758347 = V741372 + 1. assign V266058 = V150416. assign V389554 = V292963 - 1. assign V801329 = V762828. assign V152023 = V281555. assign V302500 = V374054 - 1. assign V179765 = V710159 - 1. assign V090797 = V980467. assign V589391 = V964332. assign V531430 = V651893 + 1. assign V507263 = V248598 - 1. assign V188024 = V589391. assign V512926 = V830713 + 1. assign V825927 = V857772 - 1. assign V831717 = V898206 - 1. assign V015312 = V550620. assign V104600 = V279452. assign V957821 = V279452. assign V803169 = V684858 + 1. assign V830713 = V188024 + 1. assign V530802 = V898206. assign V823776 = V760018 + 1. assign V537548 = V106806 - 1. assign V522056 = V085999 - 1. assign V689777 = V564101 + 1. assign V517064 = V036835. assign V024947 = V123252 - 1. assign V377706 = V589391 + 1. assign V712534 = V250798. assign V106806 = V036835 + 1. assign V990905 = V964332. assign V747269 = V589391. assign V550620 = V179765 + 1. assign V035282 = V150416 - 1. assign V085253 = V084501 + 1. assign V960959 = V104600 - 1. assign V232784 = V713986 + 1. assign V865476 = V079154 - 1. assign V522482 = V517064 + 1. assign V074056 = V589391. assign V326132 = V633798. assign V064066 = V497618. assign V942369 = V388045 - 1. assign V736658 = V374054 + 1. assign V084501 = V325795. assign V710702 = V085253 + 1. assign V375939 = V589391 - 1. assign V214916 = V279452 - 1. assign V437623 = V240522 - 1. assign V325795 = V964332 - 1. assign V792074 = V090797 + 1. assign V130172 = V035282 + 1. assign V980467 = V719270 + 1. assign V890242 = V120445. assign V435738 = V004889 - 1. assign V492291 = V302289 + 1. assign V935378 = V537548 - 1. assign V808809 = V960959 - 1. assign V813125 = V326132 + 1. assign V968692 = V497618 + 1. assign V326195 = V433065. assign V432662 = V710159 - 1. assign V724032 = V770275. assign V712993 = V781701 - 1. assign V089418 = V024947 - 1. assign V411404 = V990905 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV838026 = 0;\n\nFrom these direct assignment(s), we have: \nV413822 = V838026 + 1 = 0 + 1 =1;\nNo other variables can be derived from V413822;\nNo other variables can be derived from V838026;\n\nNow we have done all the calculations. Derived variables are:\nV838026 = 0;\nV413822 = 1;\n\nNow we have finished this problem. ANSWER:\nV413822\n", "role": "assistant" } ]

[ "V103290", "V508224" ]

[ { "content": "<context>\nassign V477584 = V881464 - 1. assign V913686 = V626326. assign V691248 = V770715. assign V286513 = V536519 - 1. assign V731780 = V643176. assign V594010 = V732270 - 1. assign V675196 = V690585 + 1. assign V494514 = V569994 + 1. assign V519336 = V409470. assign V466118 = V767540 + 1. assign V291246 = V976426. assign V020285 = V409470 + 1. assign V828625 = V345695 + 1. assign V103290 = 9. assign V389232 = V913686 + 1. assign V781060 = V976426 + 1. assign V817887 = V526071 + 1. assign V195263 = V273100 - 1. assign V807871 = V776892. assign V308321 = V177735 - 1. assign V739251 = V776892. assign V428465 = V314638 - 1. assign V262926 = V789385 - 1. assign V258038 = V428465 + 1. assign V881464 = V186176. assign V671884 = V540963 + 1. assign V548535 = V646855. assign V200775 = V314638. assign V921581 = V803796 + 1. assign V526071 = V314638 - 1. assign V262599 = V519336. assign V177735 = V526071. assign V139143 = V389232 - 1. assign V171998 = V817887 - 1. assign V475186 = V626326 - 1. assign V026013 = V014585 + 1. assign V219210 = V993417 + 1. assign V150344 = V086015 - 1. assign V126012 = V844557 + 1. assign V033456 = V842114 + 1. assign V872631 = V959735. assign V732270 = V827450 + 1. assign V086015 = V262599. assign V354189 = V824703. assign V186176 = V314638 - 1. assign V199889 = V519336. assign V553640 = V961996 - 1. assign V685668 = V253339 + 1. assign V827450 = V355468 + 1. assign V355468 = V909805. assign V770715 = V519336 + 1. assign V519121 = V993417 + 1. assign V928183 = V993417. assign V286466 = V273100 - 1. assign V409470 = V528925. assign V690986 = V965519 - 1. assign V899349 = V872631. assign V315221 = V776892. assign V395828 = V186176. assign V286369 = V262599 + 1. assign V837298 = V409470 - 1. assign V901014 = V519336 + 1. assign V854318 = V171998 + 1. assign V824703 = V837298 - 1. assign V189079 = V126012 + 1. assign V273100 = V965519. assign V746906 = V177735 - 1. assign V868949 = V791131 - 1. assign V753103 = V189079 + 1. assign V367241 = V807871 + 1. assign V401735 = V097847 + 1. assign V536519 = V909805. assign V961996 = V528925 + 1. assign V945897 = V200775 - 1. assign V789385 = V881464 - 1. assign V776892 = V528925 - 1. assign V050108 = V219210. assign V366547 = V690986 + 1. assign V508224 = V103290. assign V227543 = V596621 + 1. assign V830617 = V844557. assign V325616 = V366547. assign V976426 = V770715 + 1. assign V632746 = V020285 + 1. assign V164657 = V126012 + 1. assign V781783 = V117790 + 1. assign V253339 = V291246 - 1. assign V290776 = V643176 + 1. assign V192512 = V879158. assign V093674 = V314638 - 1. assign V595266 = V314638 - 1. assign V492522 = V919987. assign V844557 = V770715 - 1. assign V646855 = V540963 + 1. assign V677476 = V885266 - 1. assign V704983 = V150344 - 1. assign V524595 = V632746. assign V060307 = V026013 + 1. assign V829080 = V093674 + 1. assign V221044 = V739251 - 1. assign V946113 = V675196. assign V885266 = V171998 + 1. assign V503593 = V528681 + 1. assign V909805 = V626326. assign V809132 = V770715 + 1. assign V467840 = V690986. assign V209642 = V101887. assign V098143 = V781783 - 1. assign V443555 = V829080 + 1. assign V643176 = V519336 - 1. assign V952752 = V314638 - 1. assign V540963 = V345695 + 1. assign V143686 = V885266. assign V528925 = V490980 - 1. assign V373147 = V221044 - 1. assign V225933 = V015764. assign V267792 = V827450 - 1. assign V226732 = V262599 - 1. assign V993417 = V536519 - 1. assign V041572 = V519336. assign V568155 = V177735 + 1. assign V690585 = V200775 + 1. assign V626326 = V519336 + 1. assign V101887 = V526071 - 1. assign V029873 = V909805 + 1. assign V117790 = V286369. assign V639885 = V807871 + 1. assign V345695 = V409470 + 1. assign V673126 = V286369. assign V528533 = V519336. assign V207048 = V528681 + 1. assign V097847 = V872631 + 1. assign V514899 = V952752. assign V879158 = V490980 + 1. assign V172464 = V490980. assign V806491 = V959735. assign V519918 = V262599 - 1. assign V528681 = V314638. assign V021374 = V278197 - 1. assign V480938 = V409470. assign V959735 = V409470 + 1. assign V803796 = V690986. assign V263724 = V389232 - 1. assign V134014 = V286466 - 1. assign V791131 = V528681 + 1. assign V339225 = V528681 + 1. assign V596621 = V200775 - 1. assign V386328 = V143686 - 1. assign V206351 = V189079. assign V406369 = V677476. assign V767540 = V200775. assign V026937 = V806491. assign V118224 = V291246 + 1. assign V871554 = V177735 - 1. assign V449347 = V844557 - 1. assign V023357 = V258038. assign V278197 = V262926 - 1. assign V015764 = V355468 - 1. assign V996246 = V480938 + 1. assign V104515 = V690986. assign V569994 = V885266 + 1. assign V919987 = V490980 + 1. assign V865236 = V020285 + 1. assign V686507 = V391647 - 1. assign V697239 = V226732. assign V201238 = V540963. assign V842114 = V480938 + 1. assign V291414 = V097847 + 1. assign V965519 = V961996. assign V014585 = V961996. assign V391647 = V195263 - 1. assign V314638 = V519336 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V477584 = V881464 - 1. assign V913686 = V626326. assign V691248 = V770715. assign V286513 = V536519 - 1. assign V731780 = V643176. assign V594010 = V732270 - 1. assign V675196 = V690585 + 1. assign V494514 = V569994 + 1. assign V519336 = V409470. assign V466118 = V767540 + 1. assign V291246 = V976426. assign V020285 = V409470 + 1. assign V828625 = V345695 + 1. assign V103290 = 9. assign V389232 = V913686 + 1. assign V781060 = V976426 + 1. assign V817887 = V526071 + 1. assign V195263 = V273100 - 1. assign V807871 = V776892. assign V308321 = V177735 - 1. assign V739251 = V776892. assign V428465 = V314638 - 1. assign V262926 = V789385 - 1. assign V258038 = V428465 + 1. assign V881464 = V186176. assign V671884 = V540963 + 1. assign V548535 = V646855. assign V200775 = V314638. assign V921581 = V803796 + 1. assign V526071 = V314638 - 1. assign V262599 = V519336. assign V177735 = V526071. assign V139143 = V389232 - 1. assign V171998 = V817887 - 1. assign V475186 = V626326 - 1. assign V026013 = V014585 + 1. assign V219210 = V993417 + 1. assign V150344 = V086015 - 1. assign V126012 = V844557 + 1. assign V033456 = V842114 + 1. assign V872631 = V959735. assign V732270 = V827450 + 1. assign V086015 = V262599. assign V354189 = V824703. assign V186176 = V314638 - 1. assign V199889 = V519336. assign V553640 = V961996 - 1. assign V685668 = V253339 + 1. assign V827450 = V355468 + 1. assign V355468 = V909805. assign V770715 = V519336 + 1. assign V519121 = V993417 + 1. assign V928183 = V993417. assign V286466 = V273100 - 1. assign V409470 = V528925. assign V690986 = V965519 - 1. assign V899349 = V872631. assign V315221 = V776892. assign V395828 = V186176. assign V286369 = V262599 + 1. assign V837298 = V409470 - 1. assign V901014 = V519336 + 1. assign V854318 = V171998 + 1. assign V824703 = V837298 - 1. assign V189079 = V126012 + 1. assign V273100 = V965519. assign V746906 = V177735 - 1. assign V868949 = V791131 - 1. assign V753103 = V189079 + 1. assign V367241 = V807871 + 1. assign V401735 = V097847 + 1. assign V536519 = V909805. assign V961996 = V528925 + 1. assign V945897 = V200775 - 1. assign V789385 = V881464 - 1. assign V776892 = V528925 - 1. assign V050108 = V219210. assign V366547 = V690986 + 1. assign V508224 = V103290. assign V227543 = V596621 + 1. assign V830617 = V844557. assign V325616 = V366547. assign V976426 = V770715 + 1. assign V632746 = V020285 + 1. assign V164657 = V126012 + 1. assign V781783 = V117790 + 1. assign V253339 = V291246 - 1. assign V290776 = V643176 + 1. assign V192512 = V879158. assign V093674 = V314638 - 1. assign V595266 = V314638 - 1. assign V492522 = V919987. assign V844557 = V770715 - 1. assign V646855 = V540963 + 1. assign V677476 = V885266 - 1. assign V704983 = V150344 - 1. assign V524595 = V632746. assign V060307 = V026013 + 1. assign V829080 = V093674 + 1. assign V221044 = V739251 - 1. assign V946113 = V675196. assign V885266 = V171998 + 1. assign V503593 = V528681 + 1. assign V909805 = V626326. assign V809132 = V770715 + 1. assign V467840 = V690986. assign V209642 = V101887. assign V098143 = V781783 - 1. assign V443555 = V829080 + 1. assign V643176 = V519336 - 1. assign V952752 = V314638 - 1. assign V540963 = V345695 + 1. assign V143686 = V885266. assign V528925 = V490980 - 1. assign V373147 = V221044 - 1. assign V225933 = V015764. assign V267792 = V827450 - 1. assign V226732 = V262599 - 1. assign V993417 = V536519 - 1. assign V041572 = V519336. assign V568155 = V177735 + 1. assign V690585 = V200775 + 1. assign V626326 = V519336 + 1. assign V101887 = V526071 - 1. assign V029873 = V909805 + 1. assign V117790 = V286369. assign V639885 = V807871 + 1. assign V345695 = V409470 + 1. assign V673126 = V286369. assign V528533 = V519336. assign V207048 = V528681 + 1. assign V097847 = V872631 + 1. assign V514899 = V952752. assign V879158 = V490980 + 1. assign V172464 = V490980. assign V806491 = V959735. assign V519918 = V262599 - 1. assign V528681 = V314638. assign V021374 = V278197 - 1. assign V480938 = V409470. assign V959735 = V409470 + 1. assign V803796 = V690986. assign V263724 = V389232 - 1. assign V134014 = V286466 - 1. assign V791131 = V528681 + 1. assign V339225 = V528681 + 1. assign V596621 = V200775 - 1. assign V386328 = V143686 - 1. assign V206351 = V189079. assign V406369 = V677476. assign V767540 = V200775. assign V026937 = V806491. assign V118224 = V291246 + 1. assign V871554 = V177735 - 1. assign V449347 = V844557 - 1. assign V023357 = V258038. assign V278197 = V262926 - 1. assign V015764 = V355468 - 1. assign V996246 = V480938 + 1. assign V104515 = V690986. assign V569994 = V885266 + 1. assign V919987 = V490980 + 1. assign V865236 = V020285 + 1. assign V686507 = V391647 - 1. assign V697239 = V226732. assign V201238 = V540963. assign V842114 = V480938 + 1. assign V291414 = V097847 + 1. assign V965519 = V961996. assign V014585 = V961996. assign V391647 = V195263 - 1. assign V314638 = V519336 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV103290 = 9;\n\nFrom these direct assignment(s), we have: \nV508224 = V103290 = 9;\nNo other variables can be derived from V508224;\nNo other variables can be derived from V103290;\n\nNow we have done all the calculations. Derived variables are:\nV103290 = 9;\nV508224 = 9;\n\nNow we have finished this problem. ANSWER:\nV103290, V508224\n", "role": "assistant" } ]

[ "V635918", "V321009" ]

[ { "content": "<context>\nassign V056150 = V571667 - 1. assign V452910 = V925024 + 1. assign V723038 = V980657 - 1. assign V381675 = V980657 + 1. assign V001633 = V932785. assign V299920 = V825948 + 1. assign V202556 = V215376. assign V922451 = V750621 + 1. assign V605226 = V922451 - 1. assign V741119 = V556167. assign V164234 = V864136 - 1. assign V433764 = V640256. assign V678503 = V243284. assign V633628 = V381675 - 1. assign V346667 = V790639 + 1. assign V663037 = V284503 + 1. assign V415004 = V735445 - 1. assign V112510 = V227334 + 1. assign V930933 = V277041 + 1. assign V226285 = V663037 - 1. assign V620340 = V215376 + 1. assign V548817 = V835485 + 1. assign V980657 = V695112 + 1. assign V917917 = V400062 - 1. assign V486370 = V381675 + 1. assign V409857 = V835485 - 1. assign V752504 = V512141 + 1. assign V284503 = V067934 + 1. assign V071358 = V630167 + 1. assign V107642 = V081510 - 1. assign V571667 = V597078. assign V048145 = V735445 + 1. assign V827793 = V778781. assign V527271 = V825948 + 1. assign V614398 = V630167 - 1. assign V726196 = V140738 - 1. assign V439537 = V932785. assign V660414 = V980657. assign V409203 = V317564 - 1. assign V277041 = V243284 - 1. assign V321422 = V074149. assign V672546 = V277041 - 1. assign V675081 = V779143. assign V869211 = V960574 + 1. assign V117002 = V982101. assign V050385 = V248134. assign V304195 = V074149 - 1. assign V703311 = V071358 - 1. assign V651283 = V243284 + 1. assign V757748 = V243284. assign V333414 = V444346. assign V400062 = V321422 - 1. assign V500175 = V140738. assign V507633 = V554239 - 1. assign V200746 = V630167. assign V556167 = V243284 - 1. assign V594443 = V874507. assign V788603 = V148447. assign V215376 = V048145 + 1. assign V498009 = V980657 + 1. assign V344514 = V922451. assign V430541 = V752504 - 1. assign V036281 = V757748. assign V081510 = V597078. assign V654090 = V292994 + 1. assign V932785 = V597078 + 1. assign V069864 = V597078 + 1. assign V248134 = V864136 + 1. assign V055765 = V202556 + 1. assign V008107 = V067934 - 1. assign V735445 = V107642 + 1. assign V964530 = V140738 - 1. assign V062390 = V036281. assign V089872 = V074149 + 1. assign V284353 = V321422. assign V635918 = 9. assign V778781 = V467520 + 1. assign V714543 = V074149 - 1. assign V960574 = V050385 + 1. assign V661704 = V500175. assign V602172 = V752504. assign V835485 = V735445 - 1. assign V097248 = V729525 - 1. assign V292994 = V597078 + 1. assign V149508 = V321422. assign V535123 = V646050 + 1. assign V018990 = V925024 + 1. assign V300564 = V759484 + 1. assign V424262 = V322358 + 1. assign V375734 = V048145 - 1. assign V834560 = V597078 + 1. assign V728225 = V292994. assign V395417 = V067934 + 1. assign V646050 = V375734 + 1. assign V421194 = V729525 - 1. assign V292752 = V654090. assign V007086 = V750621 - 1. assign V427565 = V825948. assign V864136 = V834560 - 1. assign V695112 = V081510 + 1. assign V246871 = V427565 + 1. assign V648864 = V074149 - 1. assign V079172 = V284353 - 1. assign V375713 = V980657 + 1. assign V467520 = V500175 - 1. assign V149547 = V640256 - 1. assign V150569 = V660414 - 1. assign V243284 = V140738. assign V444346 = V930933 + 1. assign V629739 = V527271 + 1. assign V516805 = V464766 - 1. assign V322358 = V672546 + 1. assign V790639 = V246871 - 1. assign V067934 = V074149 + 1. assign V683346 = V729640. assign V717597 = V825948. assign V919221 = V421194 + 1. assign V563239 = V661704 - 1. assign V003112 = V864136 - 1. assign V729525 = V695112. assign V979312 = V344514 - 1. assign V801029 = V079172 - 1. assign V087001 = V825948. assign V779143 = V661704 + 1. assign V782797 = V074149 + 1. assign V321009 = V635918. assign V317564 = V864136 - 1. assign V227334 = V292994 - 1. assign V105312 = V003112 + 1. assign V825948 = V630167 - 1. assign V082002 = V695112. assign V879790 = V741119 - 1. assign V148447 = V522132 + 1. assign V400585 = V930933 - 1. assign V630167 = V140738 + 1. assign V382057 = V980657 - 1. assign V464766 = V834560 + 1. assign V129169 = V723038 + 1. assign V162092 = V563239. assign V777452 = V003112 + 1. assign V640256 = V522132. assign V074149 = V081510 + 1. assign V528721 = V409203 - 1. assign V750621 = V864136 - 1. assign V982101 = V074149 + 1. assign V336866 = V554239. assign V925024 = V500175 + 1. assign V874507 = V563239. assign V281238 = V415004. assign V759484 = V714543 - 1. assign V541345 = V322358 + 1. assign V469579 = V717597 - 1. assign V523452 = V283259 + 1. assign V343739 = V661704 + 1. assign V267620 = V729525 - 1. assign V039279 = V825948. assign V159141 = V782797 - 1. assign V380283 = V087001. assign V534486 = V381675 + 1. assign V509984 = V317564 - 1. assign V283259 = V728225. assign V851863 = V336866. assign V879548 = V982101 + 1. assign V413396 = V087001. assign V933986 = V395417 + 1. assign V554239 = V825948. assign V934027 = V079172 - 1. assign V522132 = V284353. assign V685011 = V527271 - 1. assign V140738 = V597078 - 1. assign V512141 = V597078. assign V729640 = V498009 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V056150 = V571667 - 1. assign V452910 = V925024 + 1. assign V723038 = V980657 - 1. assign V381675 = V980657 + 1. assign V001633 = V932785. assign V299920 = V825948 + 1. assign V202556 = V215376. assign V922451 = V750621 + 1. assign V605226 = V922451 - 1. assign V741119 = V556167. assign V164234 = V864136 - 1. assign V433764 = V640256. assign V678503 = V243284. assign V633628 = V381675 - 1. assign V346667 = V790639 + 1. assign V663037 = V284503 + 1. assign V415004 = V735445 - 1. assign V112510 = V227334 + 1. assign V930933 = V277041 + 1. assign V226285 = V663037 - 1. assign V620340 = V215376 + 1. assign V548817 = V835485 + 1. assign V980657 = V695112 + 1. assign V917917 = V400062 - 1. assign V486370 = V381675 + 1. assign V409857 = V835485 - 1. assign V752504 = V512141 + 1. assign V284503 = V067934 + 1. assign V071358 = V630167 + 1. assign V107642 = V081510 - 1. assign V571667 = V597078. assign V048145 = V735445 + 1. assign V827793 = V778781. assign V527271 = V825948 + 1. assign V614398 = V630167 - 1. assign V726196 = V140738 - 1. assign V439537 = V932785. assign V660414 = V980657. assign V409203 = V317564 - 1. assign V277041 = V243284 - 1. assign V321422 = V074149. assign V672546 = V277041 - 1. assign V675081 = V779143. assign V869211 = V960574 + 1. assign V117002 = V982101. assign V050385 = V248134. assign V304195 = V074149 - 1. assign V703311 = V071358 - 1. assign V651283 = V243284 + 1. assign V757748 = V243284. assign V333414 = V444346. assign V400062 = V321422 - 1. assign V500175 = V140738. assign V507633 = V554239 - 1. assign V200746 = V630167. assign V556167 = V243284 - 1. assign V594443 = V874507. assign V788603 = V148447. assign V215376 = V048145 + 1. assign V498009 = V980657 + 1. assign V344514 = V922451. assign V430541 = V752504 - 1. assign V036281 = V757748. assign V081510 = V597078. assign V654090 = V292994 + 1. assign V932785 = V597078 + 1. assign V069864 = V597078 + 1. assign V248134 = V864136 + 1. assign V055765 = V202556 + 1. assign V008107 = V067934 - 1. assign V735445 = V107642 + 1. assign V964530 = V140738 - 1. assign V062390 = V036281. assign V089872 = V074149 + 1. assign V284353 = V321422. assign V635918 = 9. assign V778781 = V467520 + 1. assign V714543 = V074149 - 1. assign V960574 = V050385 + 1. assign V661704 = V500175. assign V602172 = V752504. assign V835485 = V735445 - 1. assign V097248 = V729525 - 1. assign V292994 = V597078 + 1. assign V149508 = V321422. assign V535123 = V646050 + 1. assign V018990 = V925024 + 1. assign V300564 = V759484 + 1. assign V424262 = V322358 + 1. assign V375734 = V048145 - 1. assign V834560 = V597078 + 1. assign V728225 = V292994. assign V395417 = V067934 + 1. assign V646050 = V375734 + 1. assign V421194 = V729525 - 1. assign V292752 = V654090. assign V007086 = V750621 - 1. assign V427565 = V825948. assign V864136 = V834560 - 1. assign V695112 = V081510 + 1. assign V246871 = V427565 + 1. assign V648864 = V074149 - 1. assign V079172 = V284353 - 1. assign V375713 = V980657 + 1. assign V467520 = V500175 - 1. assign V149547 = V640256 - 1. assign V150569 = V660414 - 1. assign V243284 = V140738. assign V444346 = V930933 + 1. assign V629739 = V527271 + 1. assign V516805 = V464766 - 1. assign V322358 = V672546 + 1. assign V790639 = V246871 - 1. assign V067934 = V074149 + 1. assign V683346 = V729640. assign V717597 = V825948. assign V919221 = V421194 + 1. assign V563239 = V661704 - 1. assign V003112 = V864136 - 1. assign V729525 = V695112. assign V979312 = V344514 - 1. assign V801029 = V079172 - 1. assign V087001 = V825948. assign V779143 = V661704 + 1. assign V782797 = V074149 + 1. assign V321009 = V635918. assign V317564 = V864136 - 1. assign V227334 = V292994 - 1. assign V105312 = V003112 + 1. assign V825948 = V630167 - 1. assign V082002 = V695112. assign V879790 = V741119 - 1. assign V148447 = V522132 + 1. assign V400585 = V930933 - 1. assign V630167 = V140738 + 1. assign V382057 = V980657 - 1. assign V464766 = V834560 + 1. assign V129169 = V723038 + 1. assign V162092 = V563239. assign V777452 = V003112 + 1. assign V640256 = V522132. assign V074149 = V081510 + 1. assign V528721 = V409203 - 1. assign V750621 = V864136 - 1. assign V982101 = V074149 + 1. assign V336866 = V554239. assign V925024 = V500175 + 1. assign V874507 = V563239. assign V281238 = V415004. assign V759484 = V714543 - 1. assign V541345 = V322358 + 1. assign V469579 = V717597 - 1. assign V523452 = V283259 + 1. assign V343739 = V661704 + 1. assign V267620 = V729525 - 1. assign V039279 = V825948. assign V159141 = V782797 - 1. assign V380283 = V087001. assign V534486 = V381675 + 1. assign V509984 = V317564 - 1. assign V283259 = V728225. assign V851863 = V336866. assign V879548 = V982101 + 1. assign V413396 = V087001. assign V933986 = V395417 + 1. assign V554239 = V825948. assign V934027 = V079172 - 1. assign V522132 = V284353. assign V685011 = V527271 - 1. assign V140738 = V597078 - 1. assign V512141 = V597078. assign V729640 = V498009 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV635918 = 9;\n\nFrom these direct assignment(s), we have: \nV321009 = V635918 = 9;\nNo other variables can be derived from V321009;\nNo other variables can be derived from V635918;\n\nNow we have done all the calculations. Derived variables are:\nV635918 = 9;\nV321009 = 9;\n\nNow we have finished this problem. ANSWER:\nV635918, V321009\n", "role": "assistant" } ]

[ "V860452" ]

[ { "content": "<context>\nassign V565672 = V860089. assign V616025 = V382714 + 1. assign V686316 = V616025. assign V905413 = V333627. assign V259779 = V634498 + 1. assign V104107 = V863454. assign V207056 = V872861. assign V686551 = V208237 + 1. assign V430738 = V987890 - 1. assign V035209 = V787002 + 1. assign V297310 = V859670. assign V586481 = V097264 + 1. assign V334908 = V863454 - 1. assign V185517 = V279997. assign V949096 = V980057 - 1. assign V719944 = V170831 - 1. assign V884177 = V097264. assign V855234 = V285592 - 1. assign V636456 = V197161 + 1. assign V363171 = V170831 - 1. assign V170831 = V202037 - 1. assign V540729 = V073391 + 1. assign V454034 = V686316 - 1. assign V111317 = V763601. assign V872861 = V199458. assign V801389 = V313736 - 1. assign V026929 = V905091. assign V311219 = V763601 + 1. assign V423392 = V854683 + 1. assign V295744 = V628096 - 1. assign V769638 = V357106. assign V748529 = V801389 + 1. assign V488722 = V756795 + 1. assign V112594 = V531671. assign V501514 = V202037 + 1. assign V992109 = V569597 - 1. assign V993188 = V143720. assign V184316 = V968220. assign V527764 = V297310. assign V000340 = V888041 - 1. assign V432327 = V919938 + 1. assign V728224 = V826941 - 1. assign V741655 = V728224. assign V376184 = V756795 + 1. assign V097264 = V993188 + 1. assign V511391 = V311219. assign V502315 = V311219. assign V991752 = V295744 - 1. assign V184440 = V425681 - 1. assign V968220 = V104107 + 1. assign V283450 = V259779. assign V491291 = V530377 + 1. assign V150669 = V756795 - 1. assign V731428 = V641989 + 1. assign V955877 = V374439 - 1. assign V648577 = V474302 - 1. assign V634498 = V863454 + 1. assign V540090 = V949082 - 1. assign V246770 = V540729 - 1. assign V503663 = V313736 - 1. assign V076857 = V636456 - 1. assign V789869 = V540090 + 1. assign V808438 = V511391. assign V890171 = V209064 - 1. assign V319657 = V860089 + 1. assign V724321 = V540090 + 1. assign V078439 = V295744. assign V863454 = V152908 + 1. assign V143720 = V863454 - 1. assign V860452 = 9. assign V783261 = V634498 + 1. assign V922923 = V285592. assign V016489 = V686551 - 1. assign V826941 = V152908 - 1. assign V073391 = V879866 + 1. assign V231976 = V666872 + 1. assign V104227 = V636456 - 1. assign V714071 = V323557 - 1. assign V517940 = V641989 - 1. assign V563625 = V888041 - 1. assign V666872 = V097264 - 1. assign V258984 = V775348 - 1. assign V285592 = V323557. assign V792083 = V091295 + 1. assign V922450 = V826941 + 1. assign V383376 = V856358. assign V690613 = V586481 + 1. assign V839758 = V860452 - 1. assign V854683 = V241477 + 1. assign V241477 = V565672 + 1. assign V860089 = V993188 + 1. assign V374439 = V995427 - 1. assign V995427 = V152908. assign V382714 = V913121 + 1. assign V763601 = V641989 + 1. assign V879866 = V641989 - 1. assign V916232 = V246770 - 1. assign V997204 = V048365 + 1. assign V544074 = V863454 + 1. assign V310760 = V755270 + 1. assign V905091 = V313736 + 1. assign V279997 = V097264 + 1. assign V387919 = V808438 - 1. assign V645407 = V000340. assign V692732 = V641989. assign V595853 = V531671. assign V191173 = V104107 - 1. assign V020329 = V197161. assign V628096 = V863454. assign V186575 = V202037 - 1. assign V888041 = V686316. assign V323557 = V143720 - 1. assign V503727 = V530377 + 1. assign V407052 = V073391 - 1. assign V084921 = V143720 - 1. assign V756795 = V641989 - 1. assign V641989 = V995427 - 1. assign V184768 = V860089 + 1. assign V182437 = V313736 + 1. assign V628855 = V586481 - 1. assign V584531 = V489742 - 1. assign V357106 = V382714. assign V645859 = V787002 + 1. assign V162470 = V026929 + 1. assign V474302 = V323557 - 1. assign V980057 = V853117. assign V281210 = V246770 + 1. assign V716855 = V150669 + 1. assign V775348 = V104107. assign V919938 = V111317 - 1. assign V987251 = V578015 - 1. assign V208237 = V714071. assign V530377 = V648577 - 1. assign V489742 = V407052. assign V837639 = V775348 - 1. assign V170929 = V297310 + 1. assign V333627 = V295744 + 1. assign V563922 = V387919 + 1. assign V209064 = V686316. assign V569597 = V357106 + 1. assign V787002 = V666872 + 1. assign V691840 = V313736 + 1. assign V531671 = V949082. assign V913121 = V517940 - 1. assign V369829 = V207056 + 1. assign V202037 = V879866. assign V293426 = V207056. assign V853117 = V295744. assign V578015 = V823158. assign V706408 = V595853 - 1. assign V865898 = V756795 - 1. assign V569543 = V530377 - 1. assign V091295 = V313736. assign V949082 = V517940. assign V859670 = V879866 + 1. assign V048365 = V184440. assign V832731 = V297310 + 1. assign V197161 = V143720 - 1. assign V918500 = V692732 + 1. assign V823158 = V517940 + 1. assign V439303 = V357106 + 1. assign V410117 = V425681 + 1. assign V199458 = V628096 - 1. assign V987890 = V374439 + 1. assign V755270 = V197161 + 1. assign V246714 = V756795. assign V624134 = V918500. assign V425681 = V319657 - 1. assign V698185 = V425681. assign V856358 = V634498 - 1. assign V313736 = V714071. assign V136224 = V854683 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V565672 = V860089. assign V616025 = V382714 + 1. assign V686316 = V616025. assign V905413 = V333627. assign V259779 = V634498 + 1. assign V104107 = V863454. assign V207056 = V872861. assign V686551 = V208237 + 1. assign V430738 = V987890 - 1. assign V035209 = V787002 + 1. assign V297310 = V859670. assign V586481 = V097264 + 1. assign V334908 = V863454 - 1. assign V185517 = V279997. assign V949096 = V980057 - 1. assign V719944 = V170831 - 1. assign V884177 = V097264. assign V855234 = V285592 - 1. assign V636456 = V197161 + 1. assign V363171 = V170831 - 1. assign V170831 = V202037 - 1. assign V540729 = V073391 + 1. assign V454034 = V686316 - 1. assign V111317 = V763601. assign V872861 = V199458. assign V801389 = V313736 - 1. assign V026929 = V905091. assign V311219 = V763601 + 1. assign V423392 = V854683 + 1. assign V295744 = V628096 - 1. assign V769638 = V357106. assign V748529 = V801389 + 1. assign V488722 = V756795 + 1. assign V112594 = V531671. assign V501514 = V202037 + 1. assign V992109 = V569597 - 1. assign V993188 = V143720. assign V184316 = V968220. assign V527764 = V297310. assign V000340 = V888041 - 1. assign V432327 = V919938 + 1. assign V728224 = V826941 - 1. assign V741655 = V728224. assign V376184 = V756795 + 1. assign V097264 = V993188 + 1. assign V511391 = V311219. assign V502315 = V311219. assign V991752 = V295744 - 1. assign V184440 = V425681 - 1. assign V968220 = V104107 + 1. assign V283450 = V259779. assign V491291 = V530377 + 1. assign V150669 = V756795 - 1. assign V731428 = V641989 + 1. assign V955877 = V374439 - 1. assign V648577 = V474302 - 1. assign V634498 = V863454 + 1. assign V540090 = V949082 - 1. assign V246770 = V540729 - 1. assign V503663 = V313736 - 1. assign V076857 = V636456 - 1. assign V789869 = V540090 + 1. assign V808438 = V511391. assign V890171 = V209064 - 1. assign V319657 = V860089 + 1. assign V724321 = V540090 + 1. assign V078439 = V295744. assign V863454 = V152908 + 1. assign V143720 = V863454 - 1. assign V860452 = 9. assign V783261 = V634498 + 1. assign V922923 = V285592. assign V016489 = V686551 - 1. assign V826941 = V152908 - 1. assign V073391 = V879866 + 1. assign V231976 = V666872 + 1. assign V104227 = V636456 - 1. assign V714071 = V323557 - 1. assign V517940 = V641989 - 1. assign V563625 = V888041 - 1. assign V666872 = V097264 - 1. assign V258984 = V775348 - 1. assign V285592 = V323557. assign V792083 = V091295 + 1. assign V922450 = V826941 + 1. assign V383376 = V856358. assign V690613 = V586481 + 1. assign V839758 = V860452 - 1. assign V854683 = V241477 + 1. assign V241477 = V565672 + 1. assign V860089 = V993188 + 1. assign V374439 = V995427 - 1. assign V995427 = V152908. assign V382714 = V913121 + 1. assign V763601 = V641989 + 1. assign V879866 = V641989 - 1. assign V916232 = V246770 - 1. assign V997204 = V048365 + 1. assign V544074 = V863454 + 1. assign V310760 = V755270 + 1. assign V905091 = V313736 + 1. assign V279997 = V097264 + 1. assign V387919 = V808438 - 1. assign V645407 = V000340. assign V692732 = V641989. assign V595853 = V531671. assign V191173 = V104107 - 1. assign V020329 = V197161. assign V628096 = V863454. assign V186575 = V202037 - 1. assign V888041 = V686316. assign V323557 = V143720 - 1. assign V503727 = V530377 + 1. assign V407052 = V073391 - 1. assign V084921 = V143720 - 1. assign V756795 = V641989 - 1. assign V641989 = V995427 - 1. assign V184768 = V860089 + 1. assign V182437 = V313736 + 1. assign V628855 = V586481 - 1. assign V584531 = V489742 - 1. assign V357106 = V382714. assign V645859 = V787002 + 1. assign V162470 = V026929 + 1. assign V474302 = V323557 - 1. assign V980057 = V853117. assign V281210 = V246770 + 1. assign V716855 = V150669 + 1. assign V775348 = V104107. assign V919938 = V111317 - 1. assign V987251 = V578015 - 1. assign V208237 = V714071. assign V530377 = V648577 - 1. assign V489742 = V407052. assign V837639 = V775348 - 1. assign V170929 = V297310 + 1. assign V333627 = V295744 + 1. assign V563922 = V387919 + 1. assign V209064 = V686316. assign V569597 = V357106 + 1. assign V787002 = V666872 + 1. assign V691840 = V313736 + 1. assign V531671 = V949082. assign V913121 = V517940 - 1. assign V369829 = V207056 + 1. assign V202037 = V879866. assign V293426 = V207056. assign V853117 = V295744. assign V578015 = V823158. assign V706408 = V595853 - 1. assign V865898 = V756795 - 1. assign V569543 = V530377 - 1. assign V091295 = V313736. assign V949082 = V517940. assign V859670 = V879866 + 1. assign V048365 = V184440. assign V832731 = V297310 + 1. assign V197161 = V143720 - 1. assign V918500 = V692732 + 1. assign V823158 = V517940 + 1. assign V439303 = V357106 + 1. assign V410117 = V425681 + 1. assign V199458 = V628096 - 1. assign V987890 = V374439 + 1. assign V755270 = V197161 + 1. assign V246714 = V756795. assign V624134 = V918500. assign V425681 = V319657 - 1. assign V698185 = V425681. assign V856358 = V634498 - 1. assign V313736 = V714071. assign V136224 = V854683 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV860452 = 9;\n\nFrom these direct assignment(s), we have: \nV839758 = V860452 - 1 = 9 - 1 =8;\nNo other variables can be derived from V839758;\nNo other variables can be derived from V860452;\n\nNow we have done all the calculations. Derived variables are:\nV860452 = 9;\nV839758 = 8;\n\nNow we have finished this problem. ANSWER:\nV860452\n", "role": "assistant" } ]

[ "V243044", "V484472" ]

[ { "content": "<context>\nassign V493740 = V167178 + 1. assign V196184 = V174703. assign V068648 = V414883. assign V821900 = V239159 + 1. assign V169018 = V698468 - 1. assign V514761 = V475687. assign V167203 = V176519 + 1. assign V843142 = V543267. assign V039016 = V116455. assign V164962 = V445404 + 1. assign V166418 = V448223 + 1. assign V435363 = V165297. assign V607622 = V245852 + 1. assign V601463 = V209344. assign V575612 = V245852 + 1. assign V788548 = V101990 + 1. assign V507123 = V406062 - 1. assign V444738 = V441170 + 1. assign V732025 = V967396 - 1. assign V174703 = V199626. assign V667569 = V166418 + 1. assign V262117 = V507123. assign V199626 = V297272. assign V208627 = V797780 + 1. assign V062448 = V995209 + 1. assign V322151 = V063868 + 1. assign V120012 = V507123. assign V300691 = V428607 + 1. assign V614443 = V345914. assign V990120 = V697558. assign V559635 = V902371 - 1. assign V528690 = V575612. assign V003238 = V098667 + 1. assign V165297 = V406062. assign V328805 = V422102 + 1. assign V746838 = V821900. assign V428075 = V502147 + 1. assign V187129 = V405519. assign V433722 = V016972. assign V317878 = V854992. assign V767689 = V990120. assign V540166 = V245852 + 1. assign V445404 = V967396. assign V243044 = 5. assign V727638 = V337445 - 1. assign V213116 = V322151 - 1. assign V741641 = V130438. assign V478848 = V767689. assign V900386 = V475687. assign V603340 = V427142 - 1. assign V234173 = V416001 + 1. assign V144901 = V209344 - 1. assign V406741 = V209344 - 1. assign V063868 = V406062 - 1. assign V448223 = V174703 + 1. assign V833028 = V406741 + 1. assign V895751 = V854992. assign V967396 = V913263 - 1. assign V077443 = V445404 - 1. assign V270604 = V063868. assign V558543 = V187129 + 1. assign V786774 = V239159. assign V475393 = V174703. assign V427142 = V406062 - 1. assign V633270 = V003932 + 1. assign V441319 = V697558. assign V823337 = V786774. assign V035196 = V827651. assign V998096 = V422102 - 1. assign V428607 = V967396. assign V008948 = V196184 + 1. assign V995209 = V165297. assign V475687 = V234173. assign V620872 = V039016. assign V580560 = V164962 + 1. assign V179758 = V828532 + 1. assign V854992 = V543267. assign V628005 = V208627 + 1. assign V828532 = V427142. assign V146567 = V262117 + 1. assign V490051 = V667569 - 1. assign V700874 = V543134 + 1. assign V339411 = V414883. assign V414883 = V913263 - 1. assign V541084 = V039016. assign V319955 = V697558. assign V955628 = V990120. assign V424374 = V379454 + 1. assign V622324 = V339411 + 1. assign V608822 = V216252 + 1. assign V781965 = V601463. assign V669004 = V063868. assign V898737 = V168594 - 1. assign V377150 = V166418. assign V671046 = V196184 - 1. assign V281292 = V234173 + 1. assign V439723 = V797780 + 1. assign V710570 = V937942. assign V670889 = V572250 + 1. assign V005650 = V575612 + 1. assign V116455 = V507123 + 1. assign V496472 = V167178 + 1. assign V167178 = V016972 - 1. assign V168594 = V507123 + 1. assign V566535 = V858170 - 1. assign V449018 = V913263. assign V858170 = V854992 - 1. assign V430878 = V898737 - 1. assign V406062 = V913263 - 1. assign V003932 = V187129 + 1. assign V239159 = V797780 + 1. assign V241509 = V543267 + 1. assign V379454 = V165297. assign V252336 = V543134 + 1. assign V827651 = V444948 + 1. assign V968741 = V339411 - 1. assign V960452 = V902371 + 1. assign V016972 = V174703. assign V226293 = V781965 + 1. assign V245852 = V427142 + 1. assign V596530 = V167178 - 1. assign V209344 = V967396 - 1. assign V423085 = V444948. assign V405519 = V414883 - 1. assign V661436 = V967396 - 1. assign V416001 = V902371 + 1. assign V246089 = V414883 + 1. assign V697055 = V622324 - 1. assign V435805 = V039016 - 1. assign V599554 = V414883. assign V484472 = V243044. assign V043033 = V827651. assign V797780 = V599554. assign V032325 = V698468 + 1. assign V910781 = V406062 - 1. assign V444948 = V797780 + 1. assign V697558 = V406062 + 1. assign V481412 = V802825 + 1. assign V101990 = V245852. assign V098667 = V802825 + 1. assign V432418 = V337445 + 1. assign V572250 = V427142 - 1. assign V130438 = V802825 + 1. assign V543267 = V967396 + 1. assign V691615 = V833028. assign V543134 = V422102. assign V079876 = V377150. assign V802825 = V174703. assign V641013 = V854992 - 1. assign V323786 = V319955 - 1. assign V422102 = V405519 + 1. assign V913489 = V661436 + 1. assign V441170 = V937942. assign V176519 = V196184. assign V291543 = V130438. assign V902371 = V427142 + 1. assign V297272 = V967396 - 1. assign V112857 = V858170. assign V199908 = V339411 + 1. assign V487471 = V607622 - 1. assign V698468 = V116455 + 1. assign V216252 = V667569 - 1. assign V812567 = V377150. assign V765302 = V209344. assign V525514 = V179758 - 1. assign V967949 = V507123 - 1. assign V937942 = V406741. assign V337445 = V802825 + 1. assign V502147 = V967949 - 1. assign V345914 = V187129 - 1. assign V400694 = V179758. assign V458399 = V068648 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V493740 = V167178 + 1. assign V196184 = V174703. assign V068648 = V414883. assign V821900 = V239159 + 1. assign V169018 = V698468 - 1. assign V514761 = V475687. assign V167203 = V176519 + 1. assign V843142 = V543267. assign V039016 = V116455. assign V164962 = V445404 + 1. assign V166418 = V448223 + 1. assign V435363 = V165297. assign V607622 = V245852 + 1. assign V601463 = V209344. assign V575612 = V245852 + 1. assign V788548 = V101990 + 1. assign V507123 = V406062 - 1. assign V444738 = V441170 + 1. assign V732025 = V967396 - 1. assign V174703 = V199626. assign V667569 = V166418 + 1. assign V262117 = V507123. assign V199626 = V297272. assign V208627 = V797780 + 1. assign V062448 = V995209 + 1. assign V322151 = V063868 + 1. assign V120012 = V507123. assign V300691 = V428607 + 1. assign V614443 = V345914. assign V990120 = V697558. assign V559635 = V902371 - 1. assign V528690 = V575612. assign V003238 = V098667 + 1. assign V165297 = V406062. assign V328805 = V422102 + 1. assign V746838 = V821900. assign V428075 = V502147 + 1. assign V187129 = V405519. assign V433722 = V016972. assign V317878 = V854992. assign V767689 = V990120. assign V540166 = V245852 + 1. assign V445404 = V967396. assign V243044 = 5. assign V727638 = V337445 - 1. assign V213116 = V322151 - 1. assign V741641 = V130438. assign V478848 = V767689. assign V900386 = V475687. assign V603340 = V427142 - 1. assign V234173 = V416001 + 1. assign V144901 = V209344 - 1. assign V406741 = V209344 - 1. assign V063868 = V406062 - 1. assign V448223 = V174703 + 1. assign V833028 = V406741 + 1. assign V895751 = V854992. assign V967396 = V913263 - 1. assign V077443 = V445404 - 1. assign V270604 = V063868. assign V558543 = V187129 + 1. assign V786774 = V239159. assign V475393 = V174703. assign V427142 = V406062 - 1. assign V633270 = V003932 + 1. assign V441319 = V697558. assign V823337 = V786774. assign V035196 = V827651. assign V998096 = V422102 - 1. assign V428607 = V967396. assign V008948 = V196184 + 1. assign V995209 = V165297. assign V475687 = V234173. assign V620872 = V039016. assign V580560 = V164962 + 1. assign V179758 = V828532 + 1. assign V854992 = V543267. assign V628005 = V208627 + 1. assign V828532 = V427142. assign V146567 = V262117 + 1. assign V490051 = V667569 - 1. assign V700874 = V543134 + 1. assign V339411 = V414883. assign V414883 = V913263 - 1. assign V541084 = V039016. assign V319955 = V697558. assign V955628 = V990120. assign V424374 = V379454 + 1. assign V622324 = V339411 + 1. assign V608822 = V216252 + 1. assign V781965 = V601463. assign V669004 = V063868. assign V898737 = V168594 - 1. assign V377150 = V166418. assign V671046 = V196184 - 1. assign V281292 = V234173 + 1. assign V439723 = V797780 + 1. assign V710570 = V937942. assign V670889 = V572250 + 1. assign V005650 = V575612 + 1. assign V116455 = V507123 + 1. assign V496472 = V167178 + 1. assign V167178 = V016972 - 1. assign V168594 = V507123 + 1. assign V566535 = V858170 - 1. assign V449018 = V913263. assign V858170 = V854992 - 1. assign V430878 = V898737 - 1. assign V406062 = V913263 - 1. assign V003932 = V187129 + 1. assign V239159 = V797780 + 1. assign V241509 = V543267 + 1. assign V379454 = V165297. assign V252336 = V543134 + 1. assign V827651 = V444948 + 1. assign V968741 = V339411 - 1. assign V960452 = V902371 + 1. assign V016972 = V174703. assign V226293 = V781965 + 1. assign V245852 = V427142 + 1. assign V596530 = V167178 - 1. assign V209344 = V967396 - 1. assign V423085 = V444948. assign V405519 = V414883 - 1. assign V661436 = V967396 - 1. assign V416001 = V902371 + 1. assign V246089 = V414883 + 1. assign V697055 = V622324 - 1. assign V435805 = V039016 - 1. assign V599554 = V414883. assign V484472 = V243044. assign V043033 = V827651. assign V797780 = V599554. assign V032325 = V698468 + 1. assign V910781 = V406062 - 1. assign V444948 = V797780 + 1. assign V697558 = V406062 + 1. assign V481412 = V802825 + 1. assign V101990 = V245852. assign V098667 = V802825 + 1. assign V432418 = V337445 + 1. assign V572250 = V427142 - 1. assign V130438 = V802825 + 1. assign V543267 = V967396 + 1. assign V691615 = V833028. assign V543134 = V422102. assign V079876 = V377150. assign V802825 = V174703. assign V641013 = V854992 - 1. assign V323786 = V319955 - 1. assign V422102 = V405519 + 1. assign V913489 = V661436 + 1. assign V441170 = V937942. assign V176519 = V196184. assign V291543 = V130438. assign V902371 = V427142 + 1. assign V297272 = V967396 - 1. assign V112857 = V858170. assign V199908 = V339411 + 1. assign V487471 = V607622 - 1. assign V698468 = V116455 + 1. assign V216252 = V667569 - 1. assign V812567 = V377150. assign V765302 = V209344. assign V525514 = V179758 - 1. assign V967949 = V507123 - 1. assign V937942 = V406741. assign V337445 = V802825 + 1. assign V502147 = V967949 - 1. assign V345914 = V187129 - 1. assign V400694 = V179758. assign V458399 = V068648 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV243044 = 5;\n\nFrom these direct assignment(s), we have: \nV484472 = V243044 = 5;\nNo other variables can be derived from V484472;\nNo other variables can be derived from V243044;\n\nNow we have done all the calculations. Derived variables are:\nV243044 = 5;\nV484472 = 5;\n\nNow we have finished this problem. ANSWER:\nV243044, V484472\n", "role": "assistant" } ]

[ "V241671", "V705956" ]

[ { "content": "<context>\nassign V701644 = V375642. assign V872812 = V895259. assign V130697 = V752636 + 1. assign V535793 = V014474 + 1. assign V858597 = V705675 - 1. assign V598633 = V984496 + 1. assign V869392 = V895259 - 1. assign V176517 = V027807 - 1. assign V027807 = V013332 - 1. assign V153081 = V206275 - 1. assign V644911 = V169425 + 1. assign V990086 = V931300 + 1. assign V805884 = V693732 + 1. assign V499528 = V138288 - 1. assign V126872 = V029620 + 1. assign V744745 = V129303 + 1. assign V844096 = V423660 - 1. assign V076213 = V130697 + 1. assign V359242 = V693519 + 1. assign V466150 = V485291 + 1. assign V563543 = V844096 + 1. assign V356929 = V130697. assign V105466 = V014474 - 1. assign V933645 = V152118 - 1. assign V612463 = V583550. assign V079224 = V512933 - 1. assign V473854 = V076396 + 1. assign V243592 = V169425 + 1. assign V485291 = V194180 + 1. assign V641560 = V412788 + 1. assign V145493 = V152118 - 1. assign V895259 = V597241. assign V530483 = V471375. assign V770080 = V027807 + 1. assign V705956 = V241671. assign V194180 = V350100. assign V169425 = V873022. assign V485315 = V129303. assign V206275 = V126872 - 1. assign V679663 = V244465 - 1. assign V037638 = V011004. assign V879349 = V005709 + 1. assign V423660 = V126872 + 1. assign V825934 = V763115 - 1. assign V992052 = V512933. assign V209978 = V152118. assign V692746 = V304312 - 1. assign V473418 = V076213. assign V662808 = V547933 + 1. assign V262875 = V869392 - 1. assign V595513 = V597241 - 1. assign V128954 = V105466. assign V547933 = V879349. assign V484339 = V988531 - 1. assign V873022 = V211103 - 1. assign V569929 = V858597 + 1. assign V029620 = V376101. assign V211103 = V126872 - 1. assign V907257 = V563543 - 1. assign V724666 = V583550 - 1. assign V811069 = V076213 + 1. assign V602283 = V013332 + 1. assign V693732 = V029620 - 1. assign V780719 = V380555. assign V727818 = V105466. assign V454865 = V375642. assign V846377 = V641560 + 1. assign V506629 = V612463 + 1. assign V304312 = V720743 - 1. assign V426404 = V518333 - 1. assign V752636 = V029620 - 1. assign V005709 = V563543. assign V763115 = V130697 - 1. assign V407467 = V856187. assign V854472 = V597241 + 1. assign V380555 = V720162. assign V014474 = V258967 + 1. assign V446349 = V763115. assign V720743 = V563543. assign V076806 = V375642 + 1. assign V350100 = V376101 - 1. assign V462019 = V385093 - 1. assign V227762 = V153081 - 1. assign V151800 = V376101. assign V306268 = V992052 - 1. assign V192853 = V990086 + 1. assign V736923 = V356929. assign V456880 = V641560 + 1. assign V340606 = V690553. assign V690553 = V217270. assign V908580 = V518333. assign V494958 = V644911 + 1. assign V152118 = V693732 - 1. assign V012230 = V844096 - 1. assign V908738 = V076213 - 1. assign V257829 = V376101 + 1. assign V870981 = V037638. assign V126156 = V407467. assign V204428 = V844096 - 1. assign V389483 = V784613 + 1. assign V013332 = V206275 + 1. assign V138288 = V907257 - 1. assign V217270 = V076396 - 1. assign V258967 = V856187 + 1. assign V075316 = V784613 - 1. assign V375642 = V228055. assign V849267 = V380555 + 1. assign V473426 = V262875. assign V058849 = V407467 + 1. assign V076396 = V423660 + 1. assign V526682 = V407467 - 1. assign V673347 = V206275. assign V911121 = V761620 + 1. assign V892075 = V644911 - 1. assign V984496 = V563543 + 1. assign V371640 = V211103 - 1. assign V279185 = V846377. assign V705675 = V856187 + 1. assign V728138 = V228055 - 1. assign V530631 = V990086. assign V846906 = V869392. assign V521299 = V856187. assign V988531 = V350100 - 1. assign V720162 = V446349 + 1. assign V761620 = V138288 + 1. assign V856187 = V376101 + 1. assign V597241 = V423660 - 1. assign V760977 = V138288 - 1. assign V874027 = V244465 + 1. assign V862804 = V126156. assign V170460 = V471548 + 1. assign V794713 = V153081 - 1. assign V275799 = V720162. assign V845416 = V228055 + 1. assign V746253 = V228055. assign V512933 = V350100 + 1. assign V999503 = V992052 + 1. assign V412788 = V763115 - 1. assign V372414 = V027807 + 1. assign V285959 = V423660 - 1. assign V497898 = V005709. assign V725724 = V375642 + 1. assign V011004 = V752636 + 1. assign V023911 = V227762 - 1. assign V228055 = V206275 + 1. assign V583550 = V152118 + 1. assign V693519 = V595513. assign V125496 = V693732 - 1. assign V918861 = V720162. assign V924799 = V027807 - 1. assign V825571 = V262875 + 1. assign V244465 = V471548 - 1. assign V784613 = V126872 - 1. assign V971432 = V356929. assign V511496 = V243592 - 1. assign V877448 = V153347. assign V471375 = V869392 + 1. assign V518333 = V602283 - 1. assign V153347 = V705675. assign V370807 = V597241 + 1. assign V385093 = V984496 - 1. assign V024448 = V244465 + 1. assign V478182 = V375642 + 1. assign V261238 = V512933 - 1. assign V584785 = V471548 + 1. assign V129303 = V209978 - 1. assign V241671 = 4. assign V819621 = V720162. assign V990473 = V547933. assign V324666 = V911121. assign V471548 = V126872 + 1. assign V931300 = V423660 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V701644 = V375642. assign V872812 = V895259. assign V130697 = V752636 + 1. assign V535793 = V014474 + 1. assign V858597 = V705675 - 1. assign V598633 = V984496 + 1. assign V869392 = V895259 - 1. assign V176517 = V027807 - 1. assign V027807 = V013332 - 1. assign V153081 = V206275 - 1. assign V644911 = V169425 + 1. assign V990086 = V931300 + 1. assign V805884 = V693732 + 1. assign V499528 = V138288 - 1. assign V126872 = V029620 + 1. assign V744745 = V129303 + 1. assign V844096 = V423660 - 1. assign V076213 = V130697 + 1. assign V359242 = V693519 + 1. assign V466150 = V485291 + 1. assign V563543 = V844096 + 1. assign V356929 = V130697. assign V105466 = V014474 - 1. assign V933645 = V152118 - 1. assign V612463 = V583550. assign V079224 = V512933 - 1. assign V473854 = V076396 + 1. assign V243592 = V169425 + 1. assign V485291 = V194180 + 1. assign V641560 = V412788 + 1. assign V145493 = V152118 - 1. assign V895259 = V597241. assign V530483 = V471375. assign V770080 = V027807 + 1. assign V705956 = V241671. assign V194180 = V350100. assign V169425 = V873022. assign V485315 = V129303. assign V206275 = V126872 - 1. assign V679663 = V244465 - 1. assign V037638 = V011004. assign V879349 = V005709 + 1. assign V423660 = V126872 + 1. assign V825934 = V763115 - 1. assign V992052 = V512933. assign V209978 = V152118. assign V692746 = V304312 - 1. assign V473418 = V076213. assign V662808 = V547933 + 1. assign V262875 = V869392 - 1. assign V595513 = V597241 - 1. assign V128954 = V105466. assign V547933 = V879349. assign V484339 = V988531 - 1. assign V873022 = V211103 - 1. assign V569929 = V858597 + 1. assign V029620 = V376101. assign V211103 = V126872 - 1. assign V907257 = V563543 - 1. assign V724666 = V583550 - 1. assign V811069 = V076213 + 1. assign V602283 = V013332 + 1. assign V693732 = V029620 - 1. assign V780719 = V380555. assign V727818 = V105466. assign V454865 = V375642. assign V846377 = V641560 + 1. assign V506629 = V612463 + 1. assign V304312 = V720743 - 1. assign V426404 = V518333 - 1. assign V752636 = V029620 - 1. assign V005709 = V563543. assign V763115 = V130697 - 1. assign V407467 = V856187. assign V854472 = V597241 + 1. assign V380555 = V720162. assign V014474 = V258967 + 1. assign V446349 = V763115. assign V720743 = V563543. assign V076806 = V375642 + 1. assign V350100 = V376101 - 1. assign V462019 = V385093 - 1. assign V227762 = V153081 - 1. assign V151800 = V376101. assign V306268 = V992052 - 1. assign V192853 = V990086 + 1. assign V736923 = V356929. assign V456880 = V641560 + 1. assign V340606 = V690553. assign V690553 = V217270. assign V908580 = V518333. assign V494958 = V644911 + 1. assign V152118 = V693732 - 1. assign V012230 = V844096 - 1. assign V908738 = V076213 - 1. assign V257829 = V376101 + 1. assign V870981 = V037638. assign V126156 = V407467. assign V204428 = V844096 - 1. assign V389483 = V784613 + 1. assign V013332 = V206275 + 1. assign V138288 = V907257 - 1. assign V217270 = V076396 - 1. assign V258967 = V856187 + 1. assign V075316 = V784613 - 1. assign V375642 = V228055. assign V849267 = V380555 + 1. assign V473426 = V262875. assign V058849 = V407467 + 1. assign V076396 = V423660 + 1. assign V526682 = V407467 - 1. assign V673347 = V206275. assign V911121 = V761620 + 1. assign V892075 = V644911 - 1. assign V984496 = V563543 + 1. assign V371640 = V211103 - 1. assign V279185 = V846377. assign V705675 = V856187 + 1. assign V728138 = V228055 - 1. assign V530631 = V990086. assign V846906 = V869392. assign V521299 = V856187. assign V988531 = V350100 - 1. assign V720162 = V446349 + 1. assign V761620 = V138288 + 1. assign V856187 = V376101 + 1. assign V597241 = V423660 - 1. assign V760977 = V138288 - 1. assign V874027 = V244465 + 1. assign V862804 = V126156. assign V170460 = V471548 + 1. assign V794713 = V153081 - 1. assign V275799 = V720162. assign V845416 = V228055 + 1. assign V746253 = V228055. assign V512933 = V350100 + 1. assign V999503 = V992052 + 1. assign V412788 = V763115 - 1. assign V372414 = V027807 + 1. assign V285959 = V423660 - 1. assign V497898 = V005709. assign V725724 = V375642 + 1. assign V011004 = V752636 + 1. assign V023911 = V227762 - 1. assign V228055 = V206275 + 1. assign V583550 = V152118 + 1. assign V693519 = V595513. assign V125496 = V693732 - 1. assign V918861 = V720162. assign V924799 = V027807 - 1. assign V825571 = V262875 + 1. assign V244465 = V471548 - 1. assign V784613 = V126872 - 1. assign V971432 = V356929. assign V511496 = V243592 - 1. assign V877448 = V153347. assign V471375 = V869392 + 1. assign V518333 = V602283 - 1. assign V153347 = V705675. assign V370807 = V597241 + 1. assign V385093 = V984496 - 1. assign V024448 = V244465 + 1. assign V478182 = V375642 + 1. assign V261238 = V512933 - 1. assign V584785 = V471548 + 1. assign V129303 = V209978 - 1. assign V241671 = 4. assign V819621 = V720162. assign V990473 = V547933. assign V324666 = V911121. assign V471548 = V126872 + 1. assign V931300 = V423660 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV241671 = 4;\n\nFrom these direct assignment(s), we have: \nV705956 = V241671 = 4;\nNo other variables can be derived from V705956;\nNo other variables can be derived from V241671;\n\nNow we have done all the calculations. Derived variables are:\nV241671 = 4;\nV705956 = 4;\n\nNow we have finished this problem. ANSWER:\nV241671, V705956\n", "role": "assistant" } ]

[ "V278146" ]

[ { "content": "<context>\nassign V303455 = V681134 + 1. assign V258346 = V902172 + 1. assign V095462 = V222360 + 1. assign V172857 = V264605 + 1. assign V595780 = V773863. assign V342880 = V787515. assign V219814 = V506131. assign V196101 = V834976 + 1. assign V902172 = V665936. assign V484508 = V308053 + 1. assign V517177 = V656650 - 1. assign V879494 = V264605 + 1. assign V470107 = V710455. assign V655402 = V229755. assign V819305 = V716850. assign V930350 = V900933. assign V945860 = V900933 - 1. assign V665936 = V949266 + 1. assign V044941 = V813397 + 1. assign V278402 = V932978. assign V034686 = V942524 + 1. assign V396513 = V568932 - 1. assign V980698 = V308045 - 1. assign V956928 = V919763 - 1. assign V932978 = V900933. assign V222360 = V956928 - 1. assign V566647 = V755487 - 1. assign V373210 = V522109. assign V017461 = V564833 + 1. assign V716850 = V371907. assign V517031 = V898394. assign V771572 = V505016 + 1. assign V175426 = V296811. assign V568932 = V919763 - 1. assign V017143 = V900933. assign V765750 = V229423 + 1. assign V340988 = V945860 - 1. assign V681134 = V416725 + 1. assign V172767 = V956928 + 1. assign V508951 = V919763 - 1. assign V554613 = V964666 + 1. assign V974067 = V960752. assign V849669 = V663411 - 1. assign V773863 = V960752. assign V773750 = V930019 - 1. assign V663411 = V930350. assign V787515 = V546164 - 1. assign V834976 = V974067 + 1. assign V164515 = V522109 + 1. assign V530189 = V900933. assign V685161 = V308053 - 1. assign V030844 = V773750. assign V759952 = V180739 - 1. assign V416725 = V302727 + 1. assign V278146 = 6. assign V813397 = V229755 - 1. assign V476675 = V773750. assign V710603 = V709479. assign V064385 = V919763 - 1. assign V765860 = V930350 - 1. assign V384027 = V017461 - 1. assign V495475 = V302727 - 1. assign V503403 = V292211 - 1. assign V527273 = V517177 - 1. assign V803824 = V813397. assign V986341 = V027653. assign V229755 = V064385. assign V151695 = V371907 - 1. assign V454728 = V264605 - 1. assign V522109 = V930350. assign V928910 = V515909. assign V698541 = V932978 + 1. assign V643125 = V554613 - 1. assign V422133 = V956928 + 1. assign V998635 = V773750 - 1. assign V366740 = V643125 - 1. assign V294195 = V064026 + 1. assign V039192 = V919763. assign V061464 = V326258. assign V192526 = V949266. assign V467035 = V238388. assign V942524 = V813397 - 1. assign V078536 = V148854. assign V098124 = V930350 + 1. assign V292211 = V974183. assign V564833 = V064385. assign V667938 = V445477. assign V887036 = V219814 - 1. assign V033907 = V709479. assign V597941 = V219814 - 1. assign V605823 = V964666 - 1. assign V304671 = V710455 - 1. assign V069045 = V530189 - 1. assign V006802 = V027653. assign V370711 = V960752. assign V060567 = V663411 + 1. assign V772819 = V595780. assign V356498 = V927821. assign V709479 = V716738 - 1. assign V064026 = V980698 - 1. assign V949009 = V171911. assign V960752 = V148854 + 1. assign V974183 = V530189 + 1. assign V305457 = V956928. assign V353820 = V238388. assign V546164 = V956928. assign V555091 = V927821 + 1. assign V898394 = V716738. assign V855935 = V172767 - 1. assign V506131 = V422133 - 1. assign V956629 = V522109 + 1. assign V710455 = V017461 - 1. assign V668546 = V278146 - 1. assign V656650 = V495475 - 1. assign V505016 = V932972 + 1. assign V529608 = V710603 + 1. assign V647746 = V964666 + 1. assign V180739 = V073622. assign V390520 = V371907 - 1. assign V924215 = V568932 + 1. assign V089830 = V508951 + 1. assign V705197 = V515909 + 1. assign V445477 = V964666 - 1. assign V326258 = V113937. assign V238388 = V229755. assign V744383 = V919763 - 1. assign V964666 = V238388. assign V027831 = V900933 + 1. assign V978379 = V932972 - 1. assign V766880 = V484508. assign V335210 = V508951 - 1. assign V389042 = V546164. assign V515909 = V416725 - 1. assign V738982 = V924215. assign V171911 = V930350. assign V827794 = V932978 - 1. assign V196304 = V039192. assign V308045 = V445477 + 1. assign V849127 = V643125 + 1. assign V148854 = V564833 + 1. assign V371907 = V530189. assign V131935 = V568932 - 1. assign V930019 = V663411. assign V113937 = V663411 - 1. assign V302727 = V964666. assign V927821 = V685951 + 1. assign V685951 = V900933. assign V039497 = V949009. assign V188167 = V932978 + 1. assign V296811 = V707359 + 1. assign V073622 = V064385. assign V683820 = V900933 - 1. assign V582772 = V292211 + 1. assign V323085 = V060567 - 1. assign V900933 = V264605 + 1. assign V027653 = V656650 + 1. assign V720757 = V308045 + 1. assign V245233 = V470107 - 1. assign V707359 = V027653. assign V229423 = V017461 - 1. assign V922500 = V065007 - 1. assign V949266 = V930019 + 1. assign V065007 = V974183. assign V202263 = V073622. assign V755487 = V264605 + 1. assign V932972 = V530189. assign V308053 = V949009 - 1. assign V093892 = V039192. assign V716738 = V900933 - 1. assign V880694 = V902172 + 1. assign V780988 = V422133. assign V919763 = V264605 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V303455 = V681134 + 1. assign V258346 = V902172 + 1. assign V095462 = V222360 + 1. assign V172857 = V264605 + 1. assign V595780 = V773863. assign V342880 = V787515. assign V219814 = V506131. assign V196101 = V834976 + 1. assign V902172 = V665936. assign V484508 = V308053 + 1. assign V517177 = V656650 - 1. assign V879494 = V264605 + 1. assign V470107 = V710455. assign V655402 = V229755. assign V819305 = V716850. assign V930350 = V900933. assign V945860 = V900933 - 1. assign V665936 = V949266 + 1. assign V044941 = V813397 + 1. assign V278402 = V932978. assign V034686 = V942524 + 1. assign V396513 = V568932 - 1. assign V980698 = V308045 - 1. assign V956928 = V919763 - 1. assign V932978 = V900933. assign V222360 = V956928 - 1. assign V566647 = V755487 - 1. assign V373210 = V522109. assign V017461 = V564833 + 1. assign V716850 = V371907. assign V517031 = V898394. assign V771572 = V505016 + 1. assign V175426 = V296811. assign V568932 = V919763 - 1. assign V017143 = V900933. assign V765750 = V229423 + 1. assign V340988 = V945860 - 1. assign V681134 = V416725 + 1. assign V172767 = V956928 + 1. assign V508951 = V919763 - 1. assign V554613 = V964666 + 1. assign V974067 = V960752. assign V849669 = V663411 - 1. assign V773863 = V960752. assign V773750 = V930019 - 1. assign V663411 = V930350. assign V787515 = V546164 - 1. assign V834976 = V974067 + 1. assign V164515 = V522109 + 1. assign V530189 = V900933. assign V685161 = V308053 - 1. assign V030844 = V773750. assign V759952 = V180739 - 1. assign V416725 = V302727 + 1. assign V278146 = 6. assign V813397 = V229755 - 1. assign V476675 = V773750. assign V710603 = V709479. assign V064385 = V919763 - 1. assign V765860 = V930350 - 1. assign V384027 = V017461 - 1. assign V495475 = V302727 - 1. assign V503403 = V292211 - 1. assign V527273 = V517177 - 1. assign V803824 = V813397. assign V986341 = V027653. assign V229755 = V064385. assign V151695 = V371907 - 1. assign V454728 = V264605 - 1. assign V522109 = V930350. assign V928910 = V515909. assign V698541 = V932978 + 1. assign V643125 = V554613 - 1. assign V422133 = V956928 + 1. assign V998635 = V773750 - 1. assign V366740 = V643125 - 1. assign V294195 = V064026 + 1. assign V039192 = V919763. assign V061464 = V326258. assign V192526 = V949266. assign V467035 = V238388. assign V942524 = V813397 - 1. assign V078536 = V148854. assign V098124 = V930350 + 1. assign V292211 = V974183. assign V564833 = V064385. assign V667938 = V445477. assign V887036 = V219814 - 1. assign V033907 = V709479. assign V597941 = V219814 - 1. assign V605823 = V964666 - 1. assign V304671 = V710455 - 1. assign V069045 = V530189 - 1. assign V006802 = V027653. assign V370711 = V960752. assign V060567 = V663411 + 1. assign V772819 = V595780. assign V356498 = V927821. assign V709479 = V716738 - 1. assign V064026 = V980698 - 1. assign V949009 = V171911. assign V960752 = V148854 + 1. assign V974183 = V530189 + 1. assign V305457 = V956928. assign V353820 = V238388. assign V546164 = V956928. assign V555091 = V927821 + 1. assign V898394 = V716738. assign V855935 = V172767 - 1. assign V506131 = V422133 - 1. assign V956629 = V522109 + 1. assign V710455 = V017461 - 1. assign V668546 = V278146 - 1. assign V656650 = V495475 - 1. assign V505016 = V932972 + 1. assign V529608 = V710603 + 1. assign V647746 = V964666 + 1. assign V180739 = V073622. assign V390520 = V371907 - 1. assign V924215 = V568932 + 1. assign V089830 = V508951 + 1. assign V705197 = V515909 + 1. assign V445477 = V964666 - 1. assign V326258 = V113937. assign V238388 = V229755. assign V744383 = V919763 - 1. assign V964666 = V238388. assign V027831 = V900933 + 1. assign V978379 = V932972 - 1. assign V766880 = V484508. assign V335210 = V508951 - 1. assign V389042 = V546164. assign V515909 = V416725 - 1. assign V738982 = V924215. assign V171911 = V930350. assign V827794 = V932978 - 1. assign V196304 = V039192. assign V308045 = V445477 + 1. assign V849127 = V643125 + 1. assign V148854 = V564833 + 1. assign V371907 = V530189. assign V131935 = V568932 - 1. assign V930019 = V663411. assign V113937 = V663411 - 1. assign V302727 = V964666. assign V927821 = V685951 + 1. assign V685951 = V900933. assign V039497 = V949009. assign V188167 = V932978 + 1. assign V296811 = V707359 + 1. assign V073622 = V064385. assign V683820 = V900933 - 1. assign V582772 = V292211 + 1. assign V323085 = V060567 - 1. assign V900933 = V264605 + 1. assign V027653 = V656650 + 1. assign V720757 = V308045 + 1. assign V245233 = V470107 - 1. assign V707359 = V027653. assign V229423 = V017461 - 1. assign V922500 = V065007 - 1. assign V949266 = V930019 + 1. assign V065007 = V974183. assign V202263 = V073622. assign V755487 = V264605 + 1. assign V932972 = V530189. assign V308053 = V949009 - 1. assign V093892 = V039192. assign V716738 = V900933 - 1. assign V880694 = V902172 + 1. assign V780988 = V422133. assign V919763 = V264605 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV278146 = 6;\n\nFrom these direct assignment(s), we have: \nV668546 = V278146 - 1 = 6 - 1 =5;\nNo other variables can be derived from V668546;\nNo other variables can be derived from V278146;\n\nNow we have done all the calculations. Derived variables are:\nV278146 = 6;\nV668546 = 5;\n\nNow we have finished this problem. ANSWER:\nV278146\n", "role": "assistant" } ]

[ "V223703" ]

[ { "content": "<context>\nassign V919342 = V777398 - 1. assign V948040 = V198368 + 1. assign V656722 = V483488 - 1. assign V714509 = V069252 - 1. assign V421062 = V634287 + 1. assign V089085 = V960818. assign V649300 = V150186 - 1. assign V474850 = V488036. assign V125570 = V077915 + 1. assign V718858 = V198368 + 1. assign V261647 = V198368 - 1. assign V046485 = V185694 + 1. assign V895155 = V509095 + 1. assign V723196 = V198368 - 1. assign V179000 = V261647 - 1. assign V188196 = V748414 + 1. assign V210736 = V509095 + 1. assign V980634 = V895155 + 1. assign V259191 = V480248. assign V647604 = V069252. assign V788824 = V689089 + 1. assign V634287 = V654728 + 1. assign V935650 = V828665. assign V337093 = V642904 + 1. assign V238086 = V585953 + 1. assign V990781 = V018509 + 1. assign V828665 = V605517. assign V876278 = V509095. assign V261714 = V585953 + 1. assign V123514 = V018509 - 1. assign V064092 = V353234 + 1. assign V272021 = V314976 + 1. assign V730824 = V895155. assign V269111 = V580511 + 1. assign V485998 = V964467. assign V926891 = V434050 + 1. assign V801737 = V157820 + 1. assign V340081 = V259191. assign V208603 = V690798 - 1. assign V864751 = V133911 - 1. assign V040754 = V474850. assign V852756 = V198368 + 1. assign V472720 = V347916. assign V577754 = V150186 + 1. assign V095298 = V730824 - 1. assign V891286 = V249775. assign V006412 = V834455. assign V920738 = V509095 - 1. assign V786991 = V210736 + 1. assign V157820 = V077915 + 1. assign V004570 = V876278 + 1. assign V932587 = V682894 + 1. assign V913926 = V261647. assign V291692 = V249775 - 1. assign V682894 = V432885 + 1. assign V432885 = V483488 + 1. assign V214976 = V984572 - 1. assign V580511 = V782671. assign V239589 = V480248. assign V585953 = V895155 + 1. assign V418198 = V016552 - 1. assign V367686 = V208603 + 1. assign V353234 = V964467 + 1. assign V280806 = V434050 - 1. assign V752139 = V605517 - 1. assign V147227 = V269111. assign V203712 = V171831. assign V258269 = V261647 - 1. assign V198368 = V018509. assign V249775 = V258269 + 1. assign V506551 = V654728. assign V243658 = V249775 + 1. assign V404727 = V150186. assign V661592 = 2. assign V279637 = V141796 - 1. assign V748414 = V640411 - 1. assign V391299 = V730824 - 1. assign V605517 = V834455 - 1. assign V840478 = V656722 - 1. assign V489059 = V984572. assign V670158 = V284553 + 1. assign V506128 = V272021. assign V868917 = V964467 - 1. assign V896042 = V634287 + 1. assign V702009 = V511070. assign V690798 = V314976 - 1. assign V506914 = V095298 + 1. assign V171831 = V210736. assign V520175 = V689089 + 1. assign V375411 = V506914 - 1. assign V427806 = V730824. assign V937706 = V089085 - 1. assign V754318 = V198368. assign V710032 = V362326. assign V642904 = V892724. assign V174385 = V141796. assign V892724 = V314976 + 1. assign V073492 = V434050. assign V284553 = V964467 - 1. assign V622143 = V480248 - 1. assign V834455 = V509095 + 1. assign V439574 = V504238 + 1. assign V689089 = V434050. assign V654728 = V891286 + 1. assign V974050 = V913926. assign V314976 = V198368 + 1. assign V179924 = V960818. assign V509378 = V125570. assign V729926 = V006412 + 1. assign V519019 = V960818 + 1. assign V150186 = V984572. assign V523343 = V788824 + 1. assign V347916 = V831530 + 1. assign V984572 = V895155. assign V077915 = V258269 - 1. assign V620945 = V509095. assign V359809 = V258269. assign V199383 = V294385 + 1. assign V362326 = V920738. assign V626113 = V640411. assign V018509 = V509095. assign V016552 = V359809. assign V488036 = V895155. assign V964467 = V730824. assign V480248 = V782671 - 1. assign V281901 = V262281 - 1. assign V474351 = V509095 + 1. assign V210458 = V208603 + 1. assign V504238 = V133911 + 1. assign V960818 = V509378 - 1. assign V307858 = V314976. assign V133911 = V881612 - 1. assign V831530 = V404727 - 1. assign V934478 = V421062 + 1. assign V728847 = V488036. assign V223703 = V661592 - 1. assign V777398 = V904663 + 1. assign V141018 = V193048 - 1. assign V511070 = V946025. assign V479162 = V828665 - 1. assign V946025 = V984572 + 1. assign V125862 = V881612 - 1. assign V434050 = V483488 + 1. assign V188868 = V932221 - 1. assign V483488 = V210736 - 1. assign V141796 = V193048 - 1. assign V135467 = V642904. assign V037935 = V272021. assign V908146 = V852756. assign V039066 = V069252. assign V185694 = V280806 - 1. assign V304709 = V702009 + 1. assign V881612 = V077915. assign V849401 = V294385. assign V870964 = V259191 - 1. assign V640411 = V474850. assign V703817 = V656722. assign V904663 = V258269. assign V948565 = V294385 - 1. assign V166721 = V980634 + 1. assign V932221 = V788824. assign V193048 = V892724 + 1. assign V174356 = V375411. assign V267973 = V188196. assign V069252 = V834455 + 1. assign V294385 = V480248. assign V782671 = V834455 - 1. assign V428085 = V642904 - 1. assign V262281 = V960818 - 1. assign V940420 = V488036. assign V676885 = V656722 + 1. assign V573013 = V634287 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V919342 = V777398 - 1. assign V948040 = V198368 + 1. assign V656722 = V483488 - 1. assign V714509 = V069252 - 1. assign V421062 = V634287 + 1. assign V089085 = V960818. assign V649300 = V150186 - 1. assign V474850 = V488036. assign V125570 = V077915 + 1. assign V718858 = V198368 + 1. assign V261647 = V198368 - 1. assign V046485 = V185694 + 1. assign V895155 = V509095 + 1. assign V723196 = V198368 - 1. assign V179000 = V261647 - 1. assign V188196 = V748414 + 1. assign V210736 = V509095 + 1. assign V980634 = V895155 + 1. assign V259191 = V480248. assign V647604 = V069252. assign V788824 = V689089 + 1. assign V634287 = V654728 + 1. assign V935650 = V828665. assign V337093 = V642904 + 1. assign V238086 = V585953 + 1. assign V990781 = V018509 + 1. assign V828665 = V605517. assign V876278 = V509095. assign V261714 = V585953 + 1. assign V123514 = V018509 - 1. assign V064092 = V353234 + 1. assign V272021 = V314976 + 1. assign V730824 = V895155. assign V269111 = V580511 + 1. assign V485998 = V964467. assign V926891 = V434050 + 1. assign V801737 = V157820 + 1. assign V340081 = V259191. assign V208603 = V690798 - 1. assign V864751 = V133911 - 1. assign V040754 = V474850. assign V852756 = V198368 + 1. assign V472720 = V347916. assign V577754 = V150186 + 1. assign V095298 = V730824 - 1. assign V891286 = V249775. assign V006412 = V834455. assign V920738 = V509095 - 1. assign V786991 = V210736 + 1. assign V157820 = V077915 + 1. assign V004570 = V876278 + 1. assign V932587 = V682894 + 1. assign V913926 = V261647. assign V291692 = V249775 - 1. assign V682894 = V432885 + 1. assign V432885 = V483488 + 1. assign V214976 = V984572 - 1. assign V580511 = V782671. assign V239589 = V480248. assign V585953 = V895155 + 1. assign V418198 = V016552 - 1. assign V367686 = V208603 + 1. assign V353234 = V964467 + 1. assign V280806 = V434050 - 1. assign V752139 = V605517 - 1. assign V147227 = V269111. assign V203712 = V171831. assign V258269 = V261647 - 1. assign V198368 = V018509. assign V249775 = V258269 + 1. assign V506551 = V654728. assign V243658 = V249775 + 1. assign V404727 = V150186. assign V661592 = 2. assign V279637 = V141796 - 1. assign V748414 = V640411 - 1. assign V391299 = V730824 - 1. assign V605517 = V834455 - 1. assign V840478 = V656722 - 1. assign V489059 = V984572. assign V670158 = V284553 + 1. assign V506128 = V272021. assign V868917 = V964467 - 1. assign V896042 = V634287 + 1. assign V702009 = V511070. assign V690798 = V314976 - 1. assign V506914 = V095298 + 1. assign V171831 = V210736. assign V520175 = V689089 + 1. assign V375411 = V506914 - 1. assign V427806 = V730824. assign V937706 = V089085 - 1. assign V754318 = V198368. assign V710032 = V362326. assign V642904 = V892724. assign V174385 = V141796. assign V892724 = V314976 + 1. assign V073492 = V434050. assign V284553 = V964467 - 1. assign V622143 = V480248 - 1. assign V834455 = V509095 + 1. assign V439574 = V504238 + 1. assign V689089 = V434050. assign V654728 = V891286 + 1. assign V974050 = V913926. assign V314976 = V198368 + 1. assign V179924 = V960818. assign V509378 = V125570. assign V729926 = V006412 + 1. assign V519019 = V960818 + 1. assign V150186 = V984572. assign V523343 = V788824 + 1. assign V347916 = V831530 + 1. assign V984572 = V895155. assign V077915 = V258269 - 1. assign V620945 = V509095. assign V359809 = V258269. assign V199383 = V294385 + 1. assign V362326 = V920738. assign V626113 = V640411. assign V018509 = V509095. assign V016552 = V359809. assign V488036 = V895155. assign V964467 = V730824. assign V480248 = V782671 - 1. assign V281901 = V262281 - 1. assign V474351 = V509095 + 1. assign V210458 = V208603 + 1. assign V504238 = V133911 + 1. assign V960818 = V509378 - 1. assign V307858 = V314976. assign V133911 = V881612 - 1. assign V831530 = V404727 - 1. assign V934478 = V421062 + 1. assign V728847 = V488036. assign V223703 = V661592 - 1. assign V777398 = V904663 + 1. assign V141018 = V193048 - 1. assign V511070 = V946025. assign V479162 = V828665 - 1. assign V946025 = V984572 + 1. assign V125862 = V881612 - 1. assign V434050 = V483488 + 1. assign V188868 = V932221 - 1. assign V483488 = V210736 - 1. assign V141796 = V193048 - 1. assign V135467 = V642904. assign V037935 = V272021. assign V908146 = V852756. assign V039066 = V069252. assign V185694 = V280806 - 1. assign V304709 = V702009 + 1. assign V881612 = V077915. assign V849401 = V294385. assign V870964 = V259191 - 1. assign V640411 = V474850. assign V703817 = V656722. assign V904663 = V258269. assign V948565 = V294385 - 1. assign V166721 = V980634 + 1. assign V932221 = V788824. assign V193048 = V892724 + 1. assign V174356 = V375411. assign V267973 = V188196. assign V069252 = V834455 + 1. assign V294385 = V480248. assign V782671 = V834455 - 1. assign V428085 = V642904 - 1. assign V262281 = V960818 - 1. assign V940420 = V488036. assign V676885 = V656722 + 1. assign V573013 = V634287 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV661592 = 2;\n\nFrom these direct assignment(s), we have: \nV223703 = V661592 - 1 = 2 - 1 =1;\nNo other variables can be derived from V223703;\nNo other variables can be derived from V661592;\n\nNow we have done all the calculations. Derived variables are:\nV661592 = 2;\nV223703 = 1;\n\nNow we have finished this problem. ANSWER:\nV223703\n", "role": "assistant" } ]

[ "V528941" ]

[ { "content": "<context>\nassign V210370 = V084606. assign V573560 = V037600 + 1. assign V813106 = V844508 - 1. assign V292454 = V938694 + 1. assign V920332 = V503957 - 1. assign V334238 = V108053 + 1. assign V946161 = V144967 - 1. assign V123816 = V264619 + 1. assign V853462 = V393271. assign V129546 = V585944. assign V823075 = V886233 - 1. assign V879861 = V877262. assign V366515 = V264619 - 1. assign V540275 = V334238 + 1. assign V121822 = V900476. assign V084606 = V988471 + 1. assign V041986 = V573560. assign V087231 = V422533 - 1. assign V345488 = V503957 + 1. assign V165038 = V087231. assign V942737 = V292454 - 1. assign V389944 = V852805. assign V122019 = V609453. assign V633600 = V609453 - 1. assign V914107 = V090673 + 1. assign V809160 = V077213 - 1. assign V841688 = V833677 - 1. assign V472094 = V037600 - 1. assign V255310 = V366515 + 1. assign V967716 = V063689 + 1. assign V643919 = V065505 + 1. assign V877262 = V915326. assign V120448 = V915326 + 1. assign V304990 = V938694 - 1. assign V627287 = V292454 + 1. assign V787344 = V917195 + 1. assign V279706 = V507580 + 1. assign V804434 = V920332 + 1. assign V777462 = V823075 - 1. assign V192095 = V220884 + 1. assign V635850 = V841688 - 1. assign V295568 = V823075 + 1. assign V442917 = V633600 - 1. assign V279200 = V430117 + 1. assign V799954 = V833677 + 1. assign V731195 = V345488 - 1. assign V777173 = V917195 - 1. assign V820410 = V121822 + 1. assign V168695 = V010047 + 1. assign V011186 = V108053 + 1. assign V939265 = V665229 - 1. assign V886233 = V503957 + 1. assign V596621 = V731195. assign V108053 = V168656 + 1. assign V083765 = V503957 - 1. assign V041877 = V540275 + 1. assign V563184 = V578460 + 1. assign V063689 = V731195. assign V951815 = V168656. assign V182308 = V077213. assign V489849 = V573560 - 1. assign V233634 = V545562. assign V767471 = V643919. assign V900476 = V503957. assign V938694 = V077213 - 1. assign V065505 = V393271. assign V077798 = V578460. assign V840379 = V774432 - 1. assign V480327 = V886233 - 1. assign V251145 = V430117 + 1. assign V545562 = V540809 + 1. assign V169242 = V624999 - 1. assign V041387 = V084606 + 1. assign V538405 = V624999 + 1. assign V038335 = V774432 - 1. assign V922131 = V304990. assign V037600 = V144967 - 1. assign V151880 = V083765. assign V504895 = V480327 - 1. assign V528941 = 9. assign V503957 = V108053 - 1. assign V632882 = V087472 - 1. assign V417447 = V366515. assign V585944 = V120448. assign V430117 = V739369 + 1. assign V259977 = V988471. assign V545528 = V545562 - 1. assign V002755 = V731195 - 1. assign V699983 = V002755. assign V311076 = V366515 + 1. assign V098887 = V403993. assign V627108 = V466747. assign V195825 = V084606 + 1. assign V970963 = V900476 + 1. assign V394528 = V087231. assign V306636 = V742381 + 1. assign V173002 = V853462. assign V056592 = V010047 + 1. assign V917560 = V823075 + 1. assign V100662 = V739369. assign V073117 = V489849 + 1. assign V745218 = V946161. assign V412745 = V084606 - 1. assign V899532 = V251145. assign V024294 = V643919 - 1. assign V540809 = V393271. assign V682531 = V797871 - 1. assign V895684 = V710619 - 1. assign V510338 = V545528 - 1. assign V988471 = V403993. assign V423197 = V051518. assign V774229 = V393271 - 1. assign V466747 = V938694. assign V406887 = V264619 + 1. assign V624999 = V056592 + 1. assign V412067 = V813106 + 1. assign V742381 = V635850. assign V578460 = V345488 + 1. assign V661057 = V540275. assign V844508 = V272870. assign V652500 = V804434 - 1. assign V272870 = V403993 - 1. assign V985496 = V938694 - 1. assign V144967 = V886233 - 1. assign V454218 = V024294 + 1. assign V051518 = V540809 + 1. assign V774432 = V578460. assign V833677 = V503957 + 1. assign V220884 = V609453 + 1. assign V609453 = V823075 - 1. assign V915326 = V077213. assign V422533 = V915326 - 1. assign V288475 = V510338 + 1. assign V264619 = V635850. assign V236704 = V394528 - 1. assign V845954 = V345488 - 1. assign V294750 = V731195 - 1. assign V750555 = V886233 + 1. assign V488164 = V528941 + 1. assign V665229 = V087231. assign V122463 = V545528. assign V852805 = V804434 + 1. assign V336521 = V731195. assign V173981 = V767471 + 1. assign V832488 = V563184 - 1. assign V739369 = V578460 + 1. assign V085743 = V635850 - 1. assign V092164 = V108053. assign V900470 = V833677 + 1. assign V010047 = V920332 + 1. assign V931408 = V585944 - 1. assign V935130 = V412745. assign V797871 = V041877 + 1. assign V708672 = V540809 + 1. assign V489951 = V077213 + 1. assign V121752 = V489951 - 1. assign V192049 = V635850 + 1. assign V917195 = V633600 - 1. assign V552232 = V002755 + 1. assign V507580 = V220884 + 1. assign V403993 = V334238. assign V087472 = V585944. assign V090673 = V624999 + 1. assign V176883 = V682531. assign V835572 = V635850 + 1. assign V065191 = V852805 + 1. assign V637864 = V345488 + 1. assign V001640 = V100662 - 1. assign V710619 = V596621 - 1. assign V077213 = V144967. assign V083735 = V422533. assign V393271 = V108053 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V210370 = V084606. assign V573560 = V037600 + 1. assign V813106 = V844508 - 1. assign V292454 = V938694 + 1. assign V920332 = V503957 - 1. assign V334238 = V108053 + 1. assign V946161 = V144967 - 1. assign V123816 = V264619 + 1. assign V853462 = V393271. assign V129546 = V585944. assign V823075 = V886233 - 1. assign V879861 = V877262. assign V366515 = V264619 - 1. assign V540275 = V334238 + 1. assign V121822 = V900476. assign V084606 = V988471 + 1. assign V041986 = V573560. assign V087231 = V422533 - 1. assign V345488 = V503957 + 1. assign V165038 = V087231. assign V942737 = V292454 - 1. assign V389944 = V852805. assign V122019 = V609453. assign V633600 = V609453 - 1. assign V914107 = V090673 + 1. assign V809160 = V077213 - 1. assign V841688 = V833677 - 1. assign V472094 = V037600 - 1. assign V255310 = V366515 + 1. assign V967716 = V063689 + 1. assign V643919 = V065505 + 1. assign V877262 = V915326. assign V120448 = V915326 + 1. assign V304990 = V938694 - 1. assign V627287 = V292454 + 1. assign V787344 = V917195 + 1. assign V279706 = V507580 + 1. assign V804434 = V920332 + 1. assign V777462 = V823075 - 1. assign V192095 = V220884 + 1. assign V635850 = V841688 - 1. assign V295568 = V823075 + 1. assign V442917 = V633600 - 1. assign V279200 = V430117 + 1. assign V799954 = V833677 + 1. assign V731195 = V345488 - 1. assign V777173 = V917195 - 1. assign V820410 = V121822 + 1. assign V168695 = V010047 + 1. assign V011186 = V108053 + 1. assign V939265 = V665229 - 1. assign V886233 = V503957 + 1. assign V596621 = V731195. assign V108053 = V168656 + 1. assign V083765 = V503957 - 1. assign V041877 = V540275 + 1. assign V563184 = V578460 + 1. assign V063689 = V731195. assign V951815 = V168656. assign V182308 = V077213. assign V489849 = V573560 - 1. assign V233634 = V545562. assign V767471 = V643919. assign V900476 = V503957. assign V938694 = V077213 - 1. assign V065505 = V393271. assign V077798 = V578460. assign V840379 = V774432 - 1. assign V480327 = V886233 - 1. assign V251145 = V430117 + 1. assign V545562 = V540809 + 1. assign V169242 = V624999 - 1. assign V041387 = V084606 + 1. assign V538405 = V624999 + 1. assign V038335 = V774432 - 1. assign V922131 = V304990. assign V037600 = V144967 - 1. assign V151880 = V083765. assign V504895 = V480327 - 1. assign V528941 = 9. assign V503957 = V108053 - 1. assign V632882 = V087472 - 1. assign V417447 = V366515. assign V585944 = V120448. assign V430117 = V739369 + 1. assign V259977 = V988471. assign V545528 = V545562 - 1. assign V002755 = V731195 - 1. assign V699983 = V002755. assign V311076 = V366515 + 1. assign V098887 = V403993. assign V627108 = V466747. assign V195825 = V084606 + 1. assign V970963 = V900476 + 1. assign V394528 = V087231. assign V306636 = V742381 + 1. assign V173002 = V853462. assign V056592 = V010047 + 1. assign V917560 = V823075 + 1. assign V100662 = V739369. assign V073117 = V489849 + 1. assign V745218 = V946161. assign V412745 = V084606 - 1. assign V899532 = V251145. assign V024294 = V643919 - 1. assign V540809 = V393271. assign V682531 = V797871 - 1. assign V895684 = V710619 - 1. assign V510338 = V545528 - 1. assign V988471 = V403993. assign V423197 = V051518. assign V774229 = V393271 - 1. assign V466747 = V938694. assign V406887 = V264619 + 1. assign V624999 = V056592 + 1. assign V412067 = V813106 + 1. assign V742381 = V635850. assign V578460 = V345488 + 1. assign V661057 = V540275. assign V844508 = V272870. assign V652500 = V804434 - 1. assign V272870 = V403993 - 1. assign V985496 = V938694 - 1. assign V144967 = V886233 - 1. assign V454218 = V024294 + 1. assign V051518 = V540809 + 1. assign V774432 = V578460. assign V833677 = V503957 + 1. assign V220884 = V609453 + 1. assign V609453 = V823075 - 1. assign V915326 = V077213. assign V422533 = V915326 - 1. assign V288475 = V510338 + 1. assign V264619 = V635850. assign V236704 = V394528 - 1. assign V845954 = V345488 - 1. assign V294750 = V731195 - 1. assign V750555 = V886233 + 1. assign V488164 = V528941 + 1. assign V665229 = V087231. assign V122463 = V545528. assign V852805 = V804434 + 1. assign V336521 = V731195. assign V173981 = V767471 + 1. assign V832488 = V563184 - 1. assign V739369 = V578460 + 1. assign V085743 = V635850 - 1. assign V092164 = V108053. assign V900470 = V833677 + 1. assign V010047 = V920332 + 1. assign V931408 = V585944 - 1. assign V935130 = V412745. assign V797871 = V041877 + 1. assign V708672 = V540809 + 1. assign V489951 = V077213 + 1. assign V121752 = V489951 - 1. assign V192049 = V635850 + 1. assign V917195 = V633600 - 1. assign V552232 = V002755 + 1. assign V507580 = V220884 + 1. assign V403993 = V334238. assign V087472 = V585944. assign V090673 = V624999 + 1. assign V176883 = V682531. assign V835572 = V635850 + 1. assign V065191 = V852805 + 1. assign V637864 = V345488 + 1. assign V001640 = V100662 - 1. assign V710619 = V596621 - 1. assign V077213 = V144967. assign V083735 = V422533. assign V393271 = V108053 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV528941 = 9;\n\nFrom these direct assignment(s), we have: \nV488164 = V528941 + 1 = 9 + 1 =10;\nNo other variables can be derived from V488164;\nNo other variables can be derived from V528941;\n\nNow we have done all the calculations. Derived variables are:\nV528941 = 9;\nV488164 = 10;\n\nNow we have finished this problem. ANSWER:\nV528941\n", "role": "assistant" } ]

[ "V078472" ]

[ { "content": "<context>\nassign V078472 = V823503 + 1. assign V143754 = V945601 - 1. assign V652363 = V058996 + 1. assign V102596 = V454207 + 1. assign V782318 = V879144 - 1. assign V749763 = V876787 + 1. assign V559112 = V598840. assign V888567 = V107426 + 1. assign V588284 = V229602 - 1. assign V459164 = V509556. assign V983062 = V575726 - 1. assign V418273 = V107426 + 1. assign V534210 = V203726. assign V110723 = V552779 - 1. assign V621203 = V947280 - 1. assign V510340 = V821997 + 1. assign V879144 = V800337 + 1. assign V060525 = V509556 + 1. assign V458176 = V983062 + 1. assign V041455 = V900379 - 1. assign V821997 = V392345 + 1. assign V509556 = V329916 + 1. assign V672692 = V900379 + 1. assign V333242 = V587361 - 1. assign V616392 = V652363. assign V688412 = V997994 + 1. assign V857070 = V575726. assign V196187 = V272554 - 1. assign V679059 = V687726. assign V344646 = V876787 + 1. assign V407105 = V963806. assign V633698 = V454207 - 1. assign V375624 = V808946 + 1. assign V338812 = V110723. assign V697759 = V620578. assign V780885 = V694816 + 1. assign V785550 = V547794 + 1. assign V186739 = V107426 - 1. assign V710820 = V283681 - 1. assign V322355 = V480013 - 1. assign V296211 = V957396 - 1. assign V587361 = V997994 + 1. assign V808506 = V575726 - 1. assign V076919 = V470867 + 1. assign V483779 = V036586 - 1. assign V459721 = V552779 - 1. assign V546448 = V441193 + 1. assign V900379 = V470867 + 1. assign V796081 = V808946. assign V643215 = V294712 - 1. assign V201933 = V997994 + 1. assign V058996 = V459164 + 1. assign V670742 = V480013 + 1. assign V009702 = V058996 + 1. assign V245820 = V888567 + 1. assign V878191 = V862546. assign V837018 = V144576. assign V144576 = V552779 + 1. assign V913177 = V620578. assign V229602 = V179172 - 1. assign V755429 = V963806 + 1. assign V821687 = V898778 - 1. assign V267200 = V419764 - 1. assign V389992 = V521368 - 1. assign V283681 = V329916 + 1. assign V654528 = V742185 + 1. assign V578236 = V576345 - 1. assign V179172 = V144576 - 1. assign V510515 = V997994. assign V575581 = V897678. assign V760367 = V306563. assign V080842 = V259318. assign V645709 = V458176 + 1. assign V257832 = V782318 + 1. assign V800337 = V151372 - 1. assign V046753 = V534210. assign V650552 = V459721. assign V315503 = V707375. assign V360807 = V688412 + 1. assign V654703 = V826689 - 1. assign V574668 = V329916. assign V808946 = V459164. assign V454207 = V329916 + 1. assign V259318 = V151372 - 1. assign V437669 = V454207 + 1. assign V371044 = V322355 - 1. assign V188276 = V997994. assign V051297 = V521368. assign V849944 = V796081 + 1. assign V065090 = V576345. assign V957396 = V620578 + 1. assign V650183 = V672692. assign V694816 = V107426 - 1. assign V647357 = V900379 + 1. assign V823503 = 7. assign V195731 = V257832 + 1. assign V170676 = V661398. assign V419764 = V480013 + 1. assign V478505 = V179172 - 1. assign V997994 = V707375. assign V940259 = V500532. assign V823987 = V957396. assign V898778 = V065090 + 1. assign V500532 = V576345. assign V679930 = V824190 + 1. assign V843562 = V707375. assign V547794 = V707375 + 1. assign V945601 = V065090. assign V416440 = V188276. assign V947280 = V997994 - 1. assign V521368 = V947280 + 1. assign V216087 = V913177. assign V687726 = V897678. assign V824190 = V245820 - 1. assign V052182 = V679059. assign V329916 = V707375 + 1. assign V036586 = V945601 + 1. assign V272554 = V783948. assign V236355 = V782318 - 1. assign V392345 = V107426. assign V807115 = V983062 + 1. assign V597712 = V913177 + 1. assign V135686 = V878191 - 1. assign V151372 = V144576 + 1. assign V876787 = V480013 + 1. assign V668937 = V547794 - 1. assign V946972 = V330226 - 1. assign V567418 = V963806 - 1. assign V598840 = V621203 - 1. assign V576345 = V963806. assign V053669 = V306563 + 1. assign V306563 = V544327 + 1. assign V025256 = V782318 + 1. assign V176979 = V470867 + 1. assign V222848 = V616392 + 1. assign V107426 = V997994. assign V594495 = V534210 + 1. assign V401305 = V245820 + 1. assign V973955 = V575581. assign V480013 = V575726. assign V902104 = V186739. assign V661398 = V186739 + 1. assign V097060 = V800337. assign V470867 = V947280 + 1. assign V742185 = V575581 + 1. assign V323606 = V188276. assign V620578 = V329916 - 1. assign V197452 = V576345 + 1. assign V947762 = V715762. assign V444877 = V575726. assign V873425 = V552779 + 1. assign V699694 = V360807 - 1. assign V826689 = V837018 + 1. assign V640237 = V707375. assign V741252 = V454207. assign V544327 = V437669. assign V552779 = V707375 + 1. assign V441193 = V323606 + 1. assign V390554 = V459721 + 1. assign V203726 = V888567 + 1. assign V684940 = V567418. assign V817277 = V060525. assign V294712 = V552779. assign V897678 = V888567 + 1. assign V783948 = V144576 + 1. assign V963806 = V957396. assign V330226 = V862546 + 1. assign V117323 = V283681 + 1. assign V726506 = V283681 + 1. assign V575726 = V688412 + 1. assign V715762 = V650552 + 1. assign V862546 = V684940.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V078472 = V823503 + 1. assign V143754 = V945601 - 1. assign V652363 = V058996 + 1. assign V102596 = V454207 + 1. assign V782318 = V879144 - 1. assign V749763 = V876787 + 1. assign V559112 = V598840. assign V888567 = V107426 + 1. assign V588284 = V229602 - 1. assign V459164 = V509556. assign V983062 = V575726 - 1. assign V418273 = V107426 + 1. assign V534210 = V203726. assign V110723 = V552779 - 1. assign V621203 = V947280 - 1. assign V510340 = V821997 + 1. assign V879144 = V800337 + 1. assign V060525 = V509556 + 1. assign V458176 = V983062 + 1. assign V041455 = V900379 - 1. assign V821997 = V392345 + 1. assign V509556 = V329916 + 1. assign V672692 = V900379 + 1. assign V333242 = V587361 - 1. assign V616392 = V652363. assign V688412 = V997994 + 1. assign V857070 = V575726. assign V196187 = V272554 - 1. assign V679059 = V687726. assign V344646 = V876787 + 1. assign V407105 = V963806. assign V633698 = V454207 - 1. assign V375624 = V808946 + 1. assign V338812 = V110723. assign V697759 = V620578. assign V780885 = V694816 + 1. assign V785550 = V547794 + 1. assign V186739 = V107426 - 1. assign V710820 = V283681 - 1. assign V322355 = V480013 - 1. assign V296211 = V957396 - 1. assign V587361 = V997994 + 1. assign V808506 = V575726 - 1. assign V076919 = V470867 + 1. assign V483779 = V036586 - 1. assign V459721 = V552779 - 1. assign V546448 = V441193 + 1. assign V900379 = V470867 + 1. assign V796081 = V808946. assign V643215 = V294712 - 1. assign V201933 = V997994 + 1. assign V058996 = V459164 + 1. assign V670742 = V480013 + 1. assign V009702 = V058996 + 1. assign V245820 = V888567 + 1. assign V878191 = V862546. assign V837018 = V144576. assign V144576 = V552779 + 1. assign V913177 = V620578. assign V229602 = V179172 - 1. assign V755429 = V963806 + 1. assign V821687 = V898778 - 1. assign V267200 = V419764 - 1. assign V389992 = V521368 - 1. assign V283681 = V329916 + 1. assign V654528 = V742185 + 1. assign V578236 = V576345 - 1. assign V179172 = V144576 - 1. assign V510515 = V997994. assign V575581 = V897678. assign V760367 = V306563. assign V080842 = V259318. assign V645709 = V458176 + 1. assign V257832 = V782318 + 1. assign V800337 = V151372 - 1. assign V046753 = V534210. assign V650552 = V459721. assign V315503 = V707375. assign V360807 = V688412 + 1. assign V654703 = V826689 - 1. assign V574668 = V329916. assign V808946 = V459164. assign V454207 = V329916 + 1. assign V259318 = V151372 - 1. assign V437669 = V454207 + 1. assign V371044 = V322355 - 1. assign V188276 = V997994. assign V051297 = V521368. assign V849944 = V796081 + 1. assign V065090 = V576345. assign V957396 = V620578 + 1. assign V650183 = V672692. assign V694816 = V107426 - 1. assign V647357 = V900379 + 1. assign V823503 = 7. assign V195731 = V257832 + 1. assign V170676 = V661398. assign V419764 = V480013 + 1. assign V478505 = V179172 - 1. assign V997994 = V707375. assign V940259 = V500532. assign V823987 = V957396. assign V898778 = V065090 + 1. assign V500532 = V576345. assign V679930 = V824190 + 1. assign V843562 = V707375. assign V547794 = V707375 + 1. assign V945601 = V065090. assign V416440 = V188276. assign V947280 = V997994 - 1. assign V521368 = V947280 + 1. assign V216087 = V913177. assign V687726 = V897678. assign V824190 = V245820 - 1. assign V052182 = V679059. assign V329916 = V707375 + 1. assign V036586 = V945601 + 1. assign V272554 = V783948. assign V236355 = V782318 - 1. assign V392345 = V107426. assign V807115 = V983062 + 1. assign V597712 = V913177 + 1. assign V135686 = V878191 - 1. assign V151372 = V144576 + 1. assign V876787 = V480013 + 1. assign V668937 = V547794 - 1. assign V946972 = V330226 - 1. assign V567418 = V963806 - 1. assign V598840 = V621203 - 1. assign V576345 = V963806. assign V053669 = V306563 + 1. assign V306563 = V544327 + 1. assign V025256 = V782318 + 1. assign V176979 = V470867 + 1. assign V222848 = V616392 + 1. assign V107426 = V997994. assign V594495 = V534210 + 1. assign V401305 = V245820 + 1. assign V973955 = V575581. assign V480013 = V575726. assign V902104 = V186739. assign V661398 = V186739 + 1. assign V097060 = V800337. assign V470867 = V947280 + 1. assign V742185 = V575581 + 1. assign V323606 = V188276. assign V620578 = V329916 - 1. assign V197452 = V576345 + 1. assign V947762 = V715762. assign V444877 = V575726. assign V873425 = V552779 + 1. assign V699694 = V360807 - 1. assign V826689 = V837018 + 1. assign V640237 = V707375. assign V741252 = V454207. assign V544327 = V437669. assign V552779 = V707375 + 1. assign V441193 = V323606 + 1. assign V390554 = V459721 + 1. assign V203726 = V888567 + 1. assign V684940 = V567418. assign V817277 = V060525. assign V294712 = V552779. assign V897678 = V888567 + 1. assign V783948 = V144576 + 1. assign V963806 = V957396. assign V330226 = V862546 + 1. assign V117323 = V283681 + 1. assign V726506 = V283681 + 1. assign V575726 = V688412 + 1. assign V715762 = V650552 + 1. assign V862546 = V684940.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV823503 = 7;\n\nFrom these direct assignment(s), we have: \nV078472 = V823503 + 1 = 7 + 1 =8;\nNo other variables can be derived from V078472;\nNo other variables can be derived from V823503;\n\nNow we have done all the calculations. Derived variables are:\nV823503 = 7;\nV078472 = 8;\n\nNow we have finished this problem. ANSWER:\nV078472\n", "role": "assistant" } ]

[ "V303585", "V878917" ]

[ { "content": "<context>\nassign V708829 = V052524. assign V668213 = V873842 - 1. assign V574735 = V184983 + 1. assign V095919 = V640815 + 1. assign V623181 = V410094. assign V286207 = V232190. assign V418102 = V788060 + 1. assign V694569 = V623181 + 1. assign V426240 = V980428 + 1. assign V454833 = V757628. assign V180948 = V305074 + 1. assign V810140 = V546046 + 1. assign V966528 = V517977 + 1. assign V845888 = V878138. assign V203269 = V253814 - 1. assign V251404 = V344127 + 1. assign V461095 = V377562 - 1. assign V487274 = V085018 - 1. assign V062898 = V938686. assign V980428 = V085018 - 1. assign V611167 = V589275. assign V015780 = V470178 + 1. assign V083983 = V210176 + 1. assign V862278 = V640815. assign V748592 = V319428 + 1. assign V583840 = V987986 + 1. assign V710007 = V184983. assign V680132 = V701536 - 1. assign V970737 = V447909 - 1. assign V781640 = V010546 + 1. assign V010546 = V773343. assign V449181 = V041465 - 1. assign V184983 = V976279. assign V731191 = V701536. assign V391269 = V002326 + 1. assign V067989 = V081345 - 1. assign V636598 = V274388. assign V153599 = V583840 + 1. assign V410094 = V980144. assign V274388 = V258982. assign V282569 = V968706. assign V179772 = V976279 - 1. assign V959874 = V773343 - 1. assign V371685 = V701536 + 1. assign V987986 = V701536. assign V240740 = V976279 - 1. assign V077753 = V319428 + 1. assign V296389 = V500314 + 1. assign V394186 = V519613 + 1. assign V232190 = V658297 - 1. assign V312566 = V145722 + 1. assign V519613 = V873842 - 1. assign V859261 = V840482 + 1. assign V451237 = V051565. assign V740066 = V179952 - 1. assign V188999 = V200231 + 1. assign V186607 = V701536 - 1. assign V355975 = V371685. assign V051479 = V461095. assign V316362 = V519613 + 1. assign V613354 = V788060. assign V882249 = V487274 - 1. assign V315373 = V449181. assign V500314 = V701536. assign V200231 = V987986 + 1. assign V665782 = V496110. assign V100689 = V188999 + 1. assign V184659 = V355975 + 1. assign V849970 = V968706 - 1. assign V051565 = V067989 - 1. assign V272055 = V371685 - 1. assign V106141 = V059486 - 1. assign V113670 = V773343 - 1. assign V850930 = V051565 - 1. assign V757628 = V406257. assign V355458 = V589275 + 1. assign V645203 = V980428 + 1. assign V286108 = V980144 + 1. assign V980144 = V640815 + 1. assign V244978 = V067989 - 1. assign V691288 = V316362 - 1. assign V773343 = V145722. assign V293199 = V052524. assign V319428 = V049688 - 1. assign V447909 = V859261 + 1. assign V589275 = V184983 + 1. assign V118920 = V296389 - 1. assign V670664 = V198647 + 1. assign V221450 = V251404 - 1. assign V381334 = V041465 - 1. assign V701536 = V976279 - 1. assign V167036 = V041465 - 1. assign V983458 = V773343. assign V827397 = V731191 - 1. assign V938686 = V118920 - 1. assign V049688 = V701536 - 1. assign V452868 = V514276 + 1. assign V613894 = V258982 + 1. assign V968706 = V810140 + 1. assign V959045 = V970737 + 1. assign V700744 = V296019 + 1. assign V546046 = V987986 + 1. assign V059486 = V680132. assign V640815 = V049688 - 1. assign V941822 = V051565 + 1. assign V832365 = V773343 + 1. assign V176180 = V976279 - 1. assign V028069 = V176180. assign V044825 = V449181. assign V296019 = V658297 - 1. assign V549651 = V293608 - 1. assign V196136 = V680132. assign V646909 = V517977 + 1. assign V081345 = V597302 + 1. assign V153427 = V394186. assign V305074 = V179772 - 1. assign V303585 = 2. assign V366910 = V840482. assign V527166 = V519613 + 1. assign V002326 = V546046. assign V898207 = V583840. assign V823491 = V145722 + 1. assign V085018 = V394186 + 1. assign V377562 = V731191. assign V148679 = V153427 + 1. assign V179952 = V882249. assign V478550 = V980144 + 1. assign V491329 = V447909 + 1. assign V308069 = V188999. assign V470178 = V517977. assign V198647 = V680132 - 1. assign V853761 = V491329 - 1. assign V873842 = V296389. assign V344127 = V296389 + 1. assign V555629 = V179952 - 1. assign V256781 = V145722 + 1. assign V321527 = V355975. assign V878138 = V517977 + 1. assign V716143 = V083983. assign V691071 = V015780 + 1. assign V840482 = V200231 - 1. assign V052524 = V574735 + 1. assign V253814 = V286108 - 1. assign V258982 = V312566 - 1. assign V361728 = V976279 - 1. assign V496110 = V118920. assign V929846 = V546046 + 1. assign V141656 = V451237. assign V075778 = V386998. assign V151887 = V179952 + 1. assign V597302 = V794641 - 1. assign V210176 = V810140 + 1. assign V932728 = V002326 - 1. assign V137509 = V731191. assign V633396 = V810140 - 1. assign V366170 = V491329. assign V325692 = V646909 + 1. assign V039668 = V200231 + 1. assign V794641 = V546046. assign V406257 = V049688. assign V658297 = V840482 - 1. assign V145722 = V296389. assign V517977 = V731191 - 1. assign V562999 = V051565 + 1. assign V015965 = V188999. assign V878917 = V303585. assign V514276 = V041465 + 1. assign V499629 = V980144 + 1. assign V293608 = V447909. assign V041465 = V873842 - 1. assign V788060 = V002326 - 1. assign V386998 = V613354.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V708829 = V052524. assign V668213 = V873842 - 1. assign V574735 = V184983 + 1. assign V095919 = V640815 + 1. assign V623181 = V410094. assign V286207 = V232190. assign V418102 = V788060 + 1. assign V694569 = V623181 + 1. assign V426240 = V980428 + 1. assign V454833 = V757628. assign V180948 = V305074 + 1. assign V810140 = V546046 + 1. assign V966528 = V517977 + 1. assign V845888 = V878138. assign V203269 = V253814 - 1. assign V251404 = V344127 + 1. assign V461095 = V377562 - 1. assign V487274 = V085018 - 1. assign V062898 = V938686. assign V980428 = V085018 - 1. assign V611167 = V589275. assign V015780 = V470178 + 1. assign V083983 = V210176 + 1. assign V862278 = V640815. assign V748592 = V319428 + 1. assign V583840 = V987986 + 1. assign V710007 = V184983. assign V680132 = V701536 - 1. assign V970737 = V447909 - 1. assign V781640 = V010546 + 1. assign V010546 = V773343. assign V449181 = V041465 - 1. assign V184983 = V976279. assign V731191 = V701536. assign V391269 = V002326 + 1. assign V067989 = V081345 - 1. assign V636598 = V274388. assign V153599 = V583840 + 1. assign V410094 = V980144. assign V274388 = V258982. assign V282569 = V968706. assign V179772 = V976279 - 1. assign V959874 = V773343 - 1. assign V371685 = V701536 + 1. assign V987986 = V701536. assign V240740 = V976279 - 1. assign V077753 = V319428 + 1. assign V296389 = V500314 + 1. assign V394186 = V519613 + 1. assign V232190 = V658297 - 1. assign V312566 = V145722 + 1. assign V519613 = V873842 - 1. assign V859261 = V840482 + 1. assign V451237 = V051565. assign V740066 = V179952 - 1. assign V188999 = V200231 + 1. assign V186607 = V701536 - 1. assign V355975 = V371685. assign V051479 = V461095. assign V316362 = V519613 + 1. assign V613354 = V788060. assign V882249 = V487274 - 1. assign V315373 = V449181. assign V500314 = V701536. assign V200231 = V987986 + 1. assign V665782 = V496110. assign V100689 = V188999 + 1. assign V184659 = V355975 + 1. assign V849970 = V968706 - 1. assign V051565 = V067989 - 1. assign V272055 = V371685 - 1. assign V106141 = V059486 - 1. assign V113670 = V773343 - 1. assign V850930 = V051565 - 1. assign V757628 = V406257. assign V355458 = V589275 + 1. assign V645203 = V980428 + 1. assign V286108 = V980144 + 1. assign V980144 = V640815 + 1. assign V244978 = V067989 - 1. assign V691288 = V316362 - 1. assign V773343 = V145722. assign V293199 = V052524. assign V319428 = V049688 - 1. assign V447909 = V859261 + 1. assign V589275 = V184983 + 1. assign V118920 = V296389 - 1. assign V670664 = V198647 + 1. assign V221450 = V251404 - 1. assign V381334 = V041465 - 1. assign V701536 = V976279 - 1. assign V167036 = V041465 - 1. assign V983458 = V773343. assign V827397 = V731191 - 1. assign V938686 = V118920 - 1. assign V049688 = V701536 - 1. assign V452868 = V514276 + 1. assign V613894 = V258982 + 1. assign V968706 = V810140 + 1. assign V959045 = V970737 + 1. assign V700744 = V296019 + 1. assign V546046 = V987986 + 1. assign V059486 = V680132. assign V640815 = V049688 - 1. assign V941822 = V051565 + 1. assign V832365 = V773343 + 1. assign V176180 = V976279 - 1. assign V028069 = V176180. assign V044825 = V449181. assign V296019 = V658297 - 1. assign V549651 = V293608 - 1. assign V196136 = V680132. assign V646909 = V517977 + 1. assign V081345 = V597302 + 1. assign V153427 = V394186. assign V305074 = V179772 - 1. assign V303585 = 2. assign V366910 = V840482. assign V527166 = V519613 + 1. assign V002326 = V546046. assign V898207 = V583840. assign V823491 = V145722 + 1. assign V085018 = V394186 + 1. assign V377562 = V731191. assign V148679 = V153427 + 1. assign V179952 = V882249. assign V478550 = V980144 + 1. assign V491329 = V447909 + 1. assign V308069 = V188999. assign V470178 = V517977. assign V198647 = V680132 - 1. assign V853761 = V491329 - 1. assign V873842 = V296389. assign V344127 = V296389 + 1. assign V555629 = V179952 - 1. assign V256781 = V145722 + 1. assign V321527 = V355975. assign V878138 = V517977 + 1. assign V716143 = V083983. assign V691071 = V015780 + 1. assign V840482 = V200231 - 1. assign V052524 = V574735 + 1. assign V253814 = V286108 - 1. assign V258982 = V312566 - 1. assign V361728 = V976279 - 1. assign V496110 = V118920. assign V929846 = V546046 + 1. assign V141656 = V451237. assign V075778 = V386998. assign V151887 = V179952 + 1. assign V597302 = V794641 - 1. assign V210176 = V810140 + 1. assign V932728 = V002326 - 1. assign V137509 = V731191. assign V633396 = V810140 - 1. assign V366170 = V491329. assign V325692 = V646909 + 1. assign V039668 = V200231 + 1. assign V794641 = V546046. assign V406257 = V049688. assign V658297 = V840482 - 1. assign V145722 = V296389. assign V517977 = V731191 - 1. assign V562999 = V051565 + 1. assign V015965 = V188999. assign V878917 = V303585. assign V514276 = V041465 + 1. assign V499629 = V980144 + 1. assign V293608 = V447909. assign V041465 = V873842 - 1. assign V788060 = V002326 - 1. assign V386998 = V613354.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV303585 = 2;\n\nFrom these direct assignment(s), we have: \nV878917 = V303585 = 2;\nNo other variables can be derived from V878917;\nNo other variables can be derived from V303585;\n\nNow we have done all the calculations. Derived variables are:\nV303585 = 2;\nV878917 = 2;\n\nNow we have finished this problem. ANSWER:\nV303585, V878917\n", "role": "assistant" } ]