Datasets:

---

suehyunpark

/

gsm_infinite_symbolic_2k

like 0

[ "V986759" ]

[ { "content": "<context>\nassign V184984 = V305577. assign V212043 = V060955. assign V991712 = V085315. assign V932449 = V060955 + 1. assign V042809 = V774639. assign V521888 = V493668. assign V769193 = V932449. assign V827698 = V774639. assign V878303 = V247183. assign V409670 = V142381 + 1. assign V771550 = V305577. assign V512032 = V335789 + 1. assign V510158 = V656584 + 1. assign V029131 = V648894 + 1. assign V144319 = V843617. assign V207541 = V559359. assign V238303 = V043831. assign V583762 = V843617. assign V586555 = V741620 + 1. assign V593885 = V346855. assign V979157 = V880763 + 1. assign V050739 = V586163 + 1. assign V043831 = V943038. assign V846806 = V804261 + 1. assign V290718 = V622239 - 1. assign V678135 = V586555 - 1. assign V197704 = V060764 - 1. assign V419639 = V690399 + 1. assign V333695 = V174855 - 1. assign V196900 = V816418. assign V888050 = V450264 + 1. assign V174855 = V242521 - 1. assign V872162 = V932449. assign V917732 = V450264 + 1. assign V760228 = V648894. assign V446683 = V584748. assign V620635 = V566696 - 1. assign V247183 = V943038. assign V105192 = V345214. assign V865387 = V133920 - 1. assign V152487 = V207541 - 1. assign V158555 = V559359 - 1. assign V878999 = V592637 + 1. assign V418319 = V843617 - 1. assign V333190 = V493668 + 1. assign V312938 = V315948. assign V150428 = V912524 - 1. assign V419560 = V015768 + 1. assign V760818 = V496217 + 1. assign V450264 = V690399 + 1. assign V584748 = V943038 - 1. assign V502397 = V690399 - 1. assign V060374 = V158555 + 1. assign V305577 = V207541. assign V548685 = V943038. assign V710290 = V060764. assign V204481 = V133920 - 1. assign V885835 = V152487 + 1. assign V404573 = V152487 + 1. assign V632398 = V184984 - 1. assign V912524 = V648894 - 1. assign V880763 = V843617. assign V774639 = V586163. assign V544847 = V586555 + 1. assign V667084 = V843617. assign V331791 = V760228 - 1. assign V830047 = V404573. assign V313037 = V862454. assign V653743 = V760228. assign V738751 = V994592 + 1. assign V324964 = V060955 - 1. assign V876324 = V167674 + 1. assign V969487 = V105192 - 1. assign V423154 = V207541 - 1. assign V885092 = V247183. assign V438755 = V885835. assign V622239 = V548822 + 1. assign V413447 = V843617 + 1. assign V143534 = V071145 - 1. assign V637332 = V691179 + 1. assign V727256 = V741620 + 1. assign V417932 = 3. assign V741620 = V060955. assign V843617 = V862454 - 1. assign V826410 = V247183 - 1. assign V804261 = V862454 + 1. assign V294500 = V719683 + 1. assign V719683 = V204481 + 1. assign V444193 = V331791 - 1. assign V107849 = V653743. assign V242521 = V539688 - 1. assign V548822 = V862454. assign V876606 = V741620. assign V017397 = V207541 + 1. assign V648894 = V345815 - 1. assign V290813 = V865387 - 1. assign V997756 = V548822. assign V174840 = V035251. assign V791090 = V539688. assign V250263 = V510158 + 1. assign V592637 = V943038 - 1. assign V060764 = V862454 + 1. assign V094331 = V991712. assign V833674 = V748552 - 1. assign V520495 = V830047 + 1. assign V961718 = V872162 - 1. assign V151600 = V236272 - 1. assign V035251 = V345214. assign V690399 = V305577 - 1. assign V093790 = V653743. assign V060955 = V991712 - 1. assign V889134 = V032481 - 1. assign V994592 = V559359 + 1. assign V648091 = V584748 - 1. assign V345815 = V207541 + 1. assign V520204 = V261921. assign V510524 = V997756 + 1. assign V986759 = V417932 + 1. assign V539688 = V152487. assign V133920 = V862454 - 1. assign V022249 = V015768 - 1. assign V345214 = V152487 + 1. assign V559843 = V207541 + 1. assign V032481 = V107849 - 1. assign V713544 = V204317 - 1. assign V236272 = V833674. assign V015768 = V994592. assign V080157 = V085315. assign V729977 = V032481 - 1. assign V261921 = V622239. assign V351374 = V060374 + 1. assign V085315 = V943038. assign V748552 = V413447. assign V071145 = V313037 + 1. assign V496217 = V055399. assign V353387 = V558297 + 1. assign V167674 = V133920 - 1. assign V204317 = V566696 - 1. assign V335789 = V548822 + 1. assign V468258 = V876606. assign V721971 = V804261 + 1. assign V650708 = V885092 + 1. assign V662106 = V107849 + 1. assign V942287 = V043831. assign V691179 = V748552. assign V499248 = V888050. assign V566696 = V085315 + 1. assign V917238 = V071145 - 1. assign V599494 = V174855 + 1. assign V192733 = V727256 - 1. assign V139645 = V741620 + 1. assign V936815 = V510158 - 1. assign V141807 = V413447. assign V036249 = V991712 - 1. assign V055399 = V236272. assign V244491 = V294500 + 1. assign V871733 = V917238 + 1. assign V586163 = V994592 + 1. assign V315948 = V423154 - 1. assign V547114 = V991712 - 1. assign V493668 = V846806 + 1. assign V862454 = V559359 - 1. assign V142381 = V247183 + 1. assign V346855 = V843617. assign V600811 = V769193 - 1. assign V656584 = V450264 - 1. assign V943038 = V559359 - 1. assign V244998 = V294500 - 1. assign V091852 = V313037 + 1. assign V558297 = V656584 + 1. assign V860227 = V050739 - 1. assign V816418 = V521888 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V184984 = V305577. assign V212043 = V060955. assign V991712 = V085315. assign V932449 = V060955 + 1. assign V042809 = V774639. assign V521888 = V493668. assign V769193 = V932449. assign V827698 = V774639. assign V878303 = V247183. assign V409670 = V142381 + 1. assign V771550 = V305577. assign V512032 = V335789 + 1. assign V510158 = V656584 + 1. assign V029131 = V648894 + 1. assign V144319 = V843617. assign V207541 = V559359. assign V238303 = V043831. assign V583762 = V843617. assign V586555 = V741620 + 1. assign V593885 = V346855. assign V979157 = V880763 + 1. assign V050739 = V586163 + 1. assign V043831 = V943038. assign V846806 = V804261 + 1. assign V290718 = V622239 - 1. assign V678135 = V586555 - 1. assign V197704 = V060764 - 1. assign V419639 = V690399 + 1. assign V333695 = V174855 - 1. assign V196900 = V816418. assign V888050 = V450264 + 1. assign V174855 = V242521 - 1. assign V872162 = V932449. assign V917732 = V450264 + 1. assign V760228 = V648894. assign V446683 = V584748. assign V620635 = V566696 - 1. assign V247183 = V943038. assign V105192 = V345214. assign V865387 = V133920 - 1. assign V152487 = V207541 - 1. assign V158555 = V559359 - 1. assign V878999 = V592637 + 1. assign V418319 = V843617 - 1. assign V333190 = V493668 + 1. assign V312938 = V315948. assign V150428 = V912524 - 1. assign V419560 = V015768 + 1. assign V760818 = V496217 + 1. assign V450264 = V690399 + 1. assign V584748 = V943038 - 1. assign V502397 = V690399 - 1. assign V060374 = V158555 + 1. assign V305577 = V207541. assign V548685 = V943038. assign V710290 = V060764. assign V204481 = V133920 - 1. assign V885835 = V152487 + 1. assign V404573 = V152487 + 1. assign V632398 = V184984 - 1. assign V912524 = V648894 - 1. assign V880763 = V843617. assign V774639 = V586163. assign V544847 = V586555 + 1. assign V667084 = V843617. assign V331791 = V760228 - 1. assign V830047 = V404573. assign V313037 = V862454. assign V653743 = V760228. assign V738751 = V994592 + 1. assign V324964 = V060955 - 1. assign V876324 = V167674 + 1. assign V969487 = V105192 - 1. assign V423154 = V207541 - 1. assign V885092 = V247183. assign V438755 = V885835. assign V622239 = V548822 + 1. assign V413447 = V843617 + 1. assign V143534 = V071145 - 1. assign V637332 = V691179 + 1. assign V727256 = V741620 + 1. assign V417932 = 3. assign V741620 = V060955. assign V843617 = V862454 - 1. assign V826410 = V247183 - 1. assign V804261 = V862454 + 1. assign V294500 = V719683 + 1. assign V719683 = V204481 + 1. assign V444193 = V331791 - 1. assign V107849 = V653743. assign V242521 = V539688 - 1. assign V548822 = V862454. assign V876606 = V741620. assign V017397 = V207541 + 1. assign V648894 = V345815 - 1. assign V290813 = V865387 - 1. assign V997756 = V548822. assign V174840 = V035251. assign V791090 = V539688. assign V250263 = V510158 + 1. assign V592637 = V943038 - 1. assign V060764 = V862454 + 1. assign V094331 = V991712. assign V833674 = V748552 - 1. assign V520495 = V830047 + 1. assign V961718 = V872162 - 1. assign V151600 = V236272 - 1. assign V035251 = V345214. assign V690399 = V305577 - 1. assign V093790 = V653743. assign V060955 = V991712 - 1. assign V889134 = V032481 - 1. assign V994592 = V559359 + 1. assign V648091 = V584748 - 1. assign V345815 = V207541 + 1. assign V520204 = V261921. assign V510524 = V997756 + 1. assign V986759 = V417932 + 1. assign V539688 = V152487. assign V133920 = V862454 - 1. assign V022249 = V015768 - 1. assign V345214 = V152487 + 1. assign V559843 = V207541 + 1. assign V032481 = V107849 - 1. assign V713544 = V204317 - 1. assign V236272 = V833674. assign V015768 = V994592. assign V080157 = V085315. assign V729977 = V032481 - 1. assign V261921 = V622239. assign V351374 = V060374 + 1. assign V085315 = V943038. assign V748552 = V413447. assign V071145 = V313037 + 1. assign V496217 = V055399. assign V353387 = V558297 + 1. assign V167674 = V133920 - 1. assign V204317 = V566696 - 1. assign V335789 = V548822 + 1. assign V468258 = V876606. assign V721971 = V804261 + 1. assign V650708 = V885092 + 1. assign V662106 = V107849 + 1. assign V942287 = V043831. assign V691179 = V748552. assign V499248 = V888050. assign V566696 = V085315 + 1. assign V917238 = V071145 - 1. assign V599494 = V174855 + 1. assign V192733 = V727256 - 1. assign V139645 = V741620 + 1. assign V936815 = V510158 - 1. assign V141807 = V413447. assign V036249 = V991712 - 1. assign V055399 = V236272. assign V244491 = V294500 + 1. assign V871733 = V917238 + 1. assign V586163 = V994592 + 1. assign V315948 = V423154 - 1. assign V547114 = V991712 - 1. assign V493668 = V846806 + 1. assign V862454 = V559359 - 1. assign V142381 = V247183 + 1. assign V346855 = V843617. assign V600811 = V769193 - 1. assign V656584 = V450264 - 1. assign V943038 = V559359 - 1. assign V244998 = V294500 - 1. assign V091852 = V313037 + 1. assign V558297 = V656584 + 1. assign V860227 = V050739 - 1. assign V816418 = V521888 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV417932 = 3;\n\nFrom these direct assignment(s), we have: \nV986759 = V417932 + 1 = 3 + 1 =4;\nNo other variables can be derived from V986759;\nNo other variables can be derived from V417932;\n\nNow we have done all the calculations. Derived variables are:\nV417932 = 3;\nV986759 = 4;\n\nNow we have finished this problem. ANSWER:\nV986759\n", "role": "assistant" } ]

[ "V440718" ]

[ { "content": "<context>\nassign V122339 = V194634 - 1. assign V366518 = V512330. assign V209190 = V996148 - 1. assign V095116 = V746921 + 1. assign V759447 = V383695 + 1. assign V628221 = V254525 + 1. assign V434323 = V005973 - 1. assign V329535 = V005973 - 1. assign V137222 = V436764 + 1. assign V442471 = V104325 + 1. assign V321626 = V949317 - 1. assign V166000 = V884080. assign V415238 = V117397. assign V840721 = V321626 + 1. assign V482221 = V415238 + 1. assign V589921 = V512330 + 1. assign V930002 = V806674 + 1. assign V517297 = V577304. assign V949317 = V103691. assign V331392 = V776355 - 1. assign V743549 = V198822. assign V472189 = V661478 - 1. assign V879750 = V065426 - 1. assign V725137 = V996148. assign V221288 = V746921 - 1. assign V006112 = V996148. assign V440718 = 9. assign V334450 = V383695 - 1. assign V128949 = V331392. assign V341676 = V990614 - 1. assign V582967 = V725137. assign V486242 = V128949. assign V234446 = V759447 + 1. assign V132893 = V137222 - 1. assign V264160 = V119260 + 1. assign V990614 = V313712 - 1. assign V900759 = V336970 - 1. assign V154701 = V776355 + 1. assign V407099 = V333674 + 1. assign V100094 = V415238 + 1. assign V228311 = V399715. assign V959257 = V772762 - 1. assign V155946 = V819089. assign V579800 = V949317 + 1. assign V242262 = V050003 - 1. assign V433066 = V329535 + 1. assign V391080 = V413830. assign V883177 = V455264 + 1. assign V772762 = V512330 - 1. assign V661478 = V202196. assign V478417 = V122339. assign V212764 = V254525 + 1. assign V415552 = V055023 + 1. assign V043964 = V643277 + 1. assign V007822 = V234446 - 1. assign V307037 = V440718 + 1. assign V135474 = V333674. assign V575180 = V264160 - 1. assign V670668 = V755431 - 1. assign V502374 = V471173 - 1. assign V989431 = V719590 + 1. assign V633652 = V340728 - 1. assign V014539 = V407099 + 1. assign V292538 = V333674 + 1. assign V999930 = V413830 - 1. assign V629892 = V668038 - 1. assign V055023 = V256262. assign V364274 = V166410 + 1. assign V256262 = V364274 - 1. assign V794807 = V366518. assign V313712 = V701701. assign V051656 = V759447 + 1. assign V413830 = V292538 - 1. assign V660652 = V291301 - 1. assign V047816 = V321626. assign V160562 = V169850. assign V577304 = V486242. assign V436147 = V661478. assign V869802 = V757248. assign V128861 = V169850 - 1. assign V139723 = V364274. assign V988835 = V169850. assign V227524 = V104325 - 1. assign V383695 = V512330 + 1. assign V819089 = V725137 - 1. assign V570852 = V055023 - 1. assign V333674 = V104325 - 1. assign V806674 = V051656. assign V806673 = V383695 - 1. assign V294960 = V128949 - 1. assign V243230 = V759447 - 1. assign V643277 = V725137. assign V103691 = V313712 - 1. assign V831968 = V051656 + 1. assign V668038 = V719590 + 1. assign V117397 = V512330 - 1. assign V254525 = V512330 - 1. assign V759536 = V359912 + 1. assign V593690 = V256262 - 1. assign V755431 = V914393 + 1. assign V585577 = V009830. assign V577727 = V294960 + 1. assign V104325 = V254525 + 1. assign V059505 = V996148 - 1. assign V060241 = V238054 - 1. assign V175730 = V677726. assign V238054 = V632240 + 1. assign V044235 = V539329 - 1. assign V909584 = V776355 - 1. assign V701701 = V512330 + 1. assign V758050 = V331392. assign V806468 = V005973 + 1. assign V632240 = V366518 + 1. assign V012138 = V759447. assign V202196 = V132893 - 1. assign V471173 = V051656 + 1. assign V009830 = V329535. assign V340728 = V949317 + 1. assign V713626 = V746921 - 1. assign V746921 = V996148 - 1. assign V716845 = V003812 - 1. assign V218668 = V104325. assign V455264 = V209190 - 1. assign V698698 = V412825 + 1. assign V389642 = V415238. assign V677726 = V383695. assign V005973 = V169850 - 1. assign V539329 = V117397 + 1. assign V169850 = V227524. assign V800173 = V264160. assign V719590 = V582967. assign V749301 = V100094 - 1. assign V065426 = V154701 - 1. assign V119260 = V103691 + 1. assign V490600 = V364274 - 1. assign V254217 = V595331. assign V291301 = V996148 + 1. assign V194634 = V633652 + 1. assign V043954 = V749301 + 1. assign V399715 = V117825. assign V552122 = V243230. assign V757248 = V512330 - 1. assign V776355 = V313712. assign V198822 = V757248 - 1. assign V311376 = V166410 - 1. assign V681307 = V677726 + 1. assign V619574 = V471173 + 1. assign V934768 = V291301 + 1. assign V050003 = V589921 + 1. assign V166410 = V340728 + 1. assign V914393 = V746921 - 1. assign V412825 = V212764 + 1. assign V336970 = V686444 + 1. assign V947565 = V291301 - 1. assign V676691 = V455264 - 1. assign V359912 = V661478 + 1. assign V436764 = V746921. assign V345821 = V629892. assign V686444 = V628221 - 1. assign V877552 = V100094 + 1. assign V117825 = V701701 + 1. assign V595331 = V137222 - 1. assign V618523 = V169850 + 1. assign V574734 = V914393 + 1. assign V330397 = V321626. assign V031046 = V334450. assign V003812 = V100094 - 1. assign V383796 = V668038 + 1. assign V884080 = V701701 - 1. assign V043708 = V806674 - 1. assign V538930 = V949317. assign V996148 = V512330 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V122339 = V194634 - 1. assign V366518 = V512330. assign V209190 = V996148 - 1. assign V095116 = V746921 + 1. assign V759447 = V383695 + 1. assign V628221 = V254525 + 1. assign V434323 = V005973 - 1. assign V329535 = V005973 - 1. assign V137222 = V436764 + 1. assign V442471 = V104325 + 1. assign V321626 = V949317 - 1. assign V166000 = V884080. assign V415238 = V117397. assign V840721 = V321626 + 1. assign V482221 = V415238 + 1. assign V589921 = V512330 + 1. assign V930002 = V806674 + 1. assign V517297 = V577304. assign V949317 = V103691. assign V331392 = V776355 - 1. assign V743549 = V198822. assign V472189 = V661478 - 1. assign V879750 = V065426 - 1. assign V725137 = V996148. assign V221288 = V746921 - 1. assign V006112 = V996148. assign V440718 = 9. assign V334450 = V383695 - 1. assign V128949 = V331392. assign V341676 = V990614 - 1. assign V582967 = V725137. assign V486242 = V128949. assign V234446 = V759447 + 1. assign V132893 = V137222 - 1. assign V264160 = V119260 + 1. assign V990614 = V313712 - 1. assign V900759 = V336970 - 1. assign V154701 = V776355 + 1. assign V407099 = V333674 + 1. assign V100094 = V415238 + 1. assign V228311 = V399715. assign V959257 = V772762 - 1. assign V155946 = V819089. assign V579800 = V949317 + 1. assign V242262 = V050003 - 1. assign V433066 = V329535 + 1. assign V391080 = V413830. assign V883177 = V455264 + 1. assign V772762 = V512330 - 1. assign V661478 = V202196. assign V478417 = V122339. assign V212764 = V254525 + 1. assign V415552 = V055023 + 1. assign V043964 = V643277 + 1. assign V007822 = V234446 - 1. assign V307037 = V440718 + 1. assign V135474 = V333674. assign V575180 = V264160 - 1. assign V670668 = V755431 - 1. assign V502374 = V471173 - 1. assign V989431 = V719590 + 1. assign V633652 = V340728 - 1. assign V014539 = V407099 + 1. assign V292538 = V333674 + 1. assign V999930 = V413830 - 1. assign V629892 = V668038 - 1. assign V055023 = V256262. assign V364274 = V166410 + 1. assign V256262 = V364274 - 1. assign V794807 = V366518. assign V313712 = V701701. assign V051656 = V759447 + 1. assign V413830 = V292538 - 1. assign V660652 = V291301 - 1. assign V047816 = V321626. assign V160562 = V169850. assign V577304 = V486242. assign V436147 = V661478. assign V869802 = V757248. assign V128861 = V169850 - 1. assign V139723 = V364274. assign V988835 = V169850. assign V227524 = V104325 - 1. assign V383695 = V512330 + 1. assign V819089 = V725137 - 1. assign V570852 = V055023 - 1. assign V333674 = V104325 - 1. assign V806674 = V051656. assign V806673 = V383695 - 1. assign V294960 = V128949 - 1. assign V243230 = V759447 - 1. assign V643277 = V725137. assign V103691 = V313712 - 1. assign V831968 = V051656 + 1. assign V668038 = V719590 + 1. assign V117397 = V512330 - 1. assign V254525 = V512330 - 1. assign V759536 = V359912 + 1. assign V593690 = V256262 - 1. assign V755431 = V914393 + 1. assign V585577 = V009830. assign V577727 = V294960 + 1. assign V104325 = V254525 + 1. assign V059505 = V996148 - 1. assign V060241 = V238054 - 1. assign V175730 = V677726. assign V238054 = V632240 + 1. assign V044235 = V539329 - 1. assign V909584 = V776355 - 1. assign V701701 = V512330 + 1. assign V758050 = V331392. assign V806468 = V005973 + 1. assign V632240 = V366518 + 1. assign V012138 = V759447. assign V202196 = V132893 - 1. assign V471173 = V051656 + 1. assign V009830 = V329535. assign V340728 = V949317 + 1. assign V713626 = V746921 - 1. assign V746921 = V996148 - 1. assign V716845 = V003812 - 1. assign V218668 = V104325. assign V455264 = V209190 - 1. assign V698698 = V412825 + 1. assign V389642 = V415238. assign V677726 = V383695. assign V005973 = V169850 - 1. assign V539329 = V117397 + 1. assign V169850 = V227524. assign V800173 = V264160. assign V719590 = V582967. assign V749301 = V100094 - 1. assign V065426 = V154701 - 1. assign V119260 = V103691 + 1. assign V490600 = V364274 - 1. assign V254217 = V595331. assign V291301 = V996148 + 1. assign V194634 = V633652 + 1. assign V043954 = V749301 + 1. assign V399715 = V117825. assign V552122 = V243230. assign V757248 = V512330 - 1. assign V776355 = V313712. assign V198822 = V757248 - 1. assign V311376 = V166410 - 1. assign V681307 = V677726 + 1. assign V619574 = V471173 + 1. assign V934768 = V291301 + 1. assign V050003 = V589921 + 1. assign V166410 = V340728 + 1. assign V914393 = V746921 - 1. assign V412825 = V212764 + 1. assign V336970 = V686444 + 1. assign V947565 = V291301 - 1. assign V676691 = V455264 - 1. assign V359912 = V661478 + 1. assign V436764 = V746921. assign V345821 = V629892. assign V686444 = V628221 - 1. assign V877552 = V100094 + 1. assign V117825 = V701701 + 1. assign V595331 = V137222 - 1. assign V618523 = V169850 + 1. assign V574734 = V914393 + 1. assign V330397 = V321626. assign V031046 = V334450. assign V003812 = V100094 - 1. assign V383796 = V668038 + 1. assign V884080 = V701701 - 1. assign V043708 = V806674 - 1. assign V538930 = V949317. assign V996148 = V512330 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV440718 = 9;\n\nFrom these direct assignment(s), we have: \nV307037 = V440718 + 1 = 9 + 1 =10;\nNo other variables can be derived from V307037;\nNo other variables can be derived from V440718;\n\nNow we have done all the calculations. Derived variables are:\nV440718 = 9;\nV307037 = 10;\n\nNow we have finished this problem. ANSWER:\nV440718\n", "role": "assistant" } ]

[ "V451808" ]

[ { "content": "<context>\nassign V719366 = V970424. assign V006239 = V676204 + 1. assign V355740 = V694273 + 1. assign V447414 = V608448 - 1. assign V862039 = V006239 - 1. assign V463366 = V216868 + 1. assign V741998 = V329843. assign V694273 = V738397 + 1. assign V340577 = V000922 - 1. assign V336468 = V676204. assign V262928 = V450052 + 1. assign V718287 = V546535 + 1. assign V269998 = V015673. assign V844357 = V721588 + 1. assign V184190 = V484890. assign V558502 = V972287 + 1. assign V493895 = V297545. assign V331528 = V005719. assign V971013 = V946350. assign V052123 = V817372 - 1. assign V149850 = V235911 + 1. assign V435431 = V485468 + 1. assign V364051 = V294910 + 1. assign V112077 = V676204. assign V393648 = V844357. assign V118896 = V788668. assign V695903 = V154355. assign V430676 = V504368. assign V039575 = V485468 + 1. assign V795389 = V622618 - 1. assign V105732 = V714430 + 1. assign V041091 = V695492 + 1. assign V822823 = V714430 - 1. assign V000922 = V755755 - 1. assign V258104 = V451808 + 1. assign V718716 = V095850 + 1. assign V689380 = V484890 - 1. assign V230946 = V503706. assign V543009 = V678941 - 1. assign V002797 = V016705 - 1. assign V329843 = V608448. assign V721588 = V235911 + 1. assign V876340 = V970424. assign V779255 = V988311 - 1. assign V154355 = V714430 - 1. assign V595451 = V201324 + 1. assign V622618 = V965848 - 1. assign V201324 = V504368 + 1. assign V339306 = V339322 + 1. assign V239484 = V095850 + 1. assign V550904 = V972287 - 1. assign V153047 = V430676 - 1. assign V612441 = V732946 + 1. assign V710162 = V015673 + 1. assign V016705 = V395992 + 1. assign V925380 = V216868 + 1. assign V095850 = V395992 - 1. assign V738397 = V235911 + 1. assign V318928 = V821062. assign V286929 = V500133 - 1. assign V891413 = V755755 + 1. assign V864017 = V966752 - 1. assign V750485 = V230946 + 1. assign V851705 = V297545 + 1. assign V504368 = V738397 + 1. assign V172903 = V031295 - 1. assign V556385 = V943500 - 1. assign V631902 = V695492 + 1. assign V833361 = V331528 + 1. assign V695492 = V738397 - 1. assign V455402 = V972287 - 1. assign V149907 = V262238 - 1. assign V397002 = V755755 + 1. assign V789349 = V269998. assign V408713 = V652018 - 1. assign V485468 = V057352. assign V972287 = V988311 - 1. assign V670778 = V297545 + 1. assign V015673 = V676204 + 1. assign V607692 = V709594 + 1. assign V005719 = V485468. assign V339322 = V807177 - 1. assign V724971 = V789349 - 1. assign V538340 = V946350. assign V450052 = V112077 + 1. assign V669411 = V695492 - 1. assign V235911 = V331532 - 1. assign V186165 = V557646. assign V057352 = V608448 - 1. assign V050894 = V131022 + 1. assign V031295 = V913678 + 1. assign V297545 = V235911 + 1. assign V216064 = V423299 - 1. assign V988311 = V721588. assign V407050 = V972287 - 1. assign V652018 = V235911 - 1. assign V711986 = V891413 + 1. assign V294910 = V732946 - 1. assign V821062 = V016705 - 1. assign V451808 = 0. assign V371259 = V500133 - 1. assign V212174 = V078392 - 1. assign V913678 = V966752 - 1. assign V924315 = V149907 + 1. assign V423299 = V744058 + 1. assign V268566 = V393648 + 1. assign V795689 = V652018 + 1. assign V742210 = V118896. assign V817372 = V755755. assign V216868 = V395992 + 1. assign V078392 = V744058 + 1. assign V557646 = V269998. assign V796302 = V500133. assign V051479 = V000922. assign V276311 = V331532. assign V171671 = V821062 - 1. assign V262238 = V015673. assign V935011 = V738397. assign V755755 = V016705. assign V152105 = V235911 + 1. assign V788668 = V714430 + 1. assign V806485 = V239484 - 1. assign V807177 = V006239 - 1. assign V714430 = V652018. assign V006949 = V988311 + 1. assign V119059 = V184190 - 1. assign V395992 = V844357 + 1. assign V126459 = V078392 + 1. assign V943500 = V395992 - 1. assign V427606 = V112077. assign V105389 = V329843. assign V946350 = V275189 - 1. assign V232214 = V339322 + 1. assign V732946 = V714430 - 1. assign V219410 = V724971. assign V052453 = V943500. assign V131022 = V972287 + 1. assign V415076 = V732946 + 1. assign V676204 = V844357. assign V569365 = V188031 - 1. assign V331128 = V500133 + 1. assign V458106 = V709594 + 1. assign V144339 = V149850 + 1. assign V956267 = V427606 - 1. assign V970424 = V732946. assign V484890 = V275189 - 1. assign V510990 = V608448 + 1. assign V546535 = V286929 + 1. assign V037104 = V484890 - 1. assign V966752 = V239484 - 1. assign V744058 = V946350 - 1. assign V870340 = V355740 + 1. assign V500133 = V269998. assign V709594 = V500133 - 1. assign V355153 = V435431 - 1. assign V753350 = V484890 - 1. assign V507182 = V408713. assign V678941 = V744058 + 1. assign V188031 = V006239 - 1. assign V608448 = V988311 + 1. assign V391909 = V078392 + 1. assign V259664 = V006949. assign V246062 = V504368 + 1. assign V501187 = V016705. assign V409638 = V131022. assign V275189 = V235911. assign V645570 = V612441 + 1. assign V856271 = V779255 - 1. assign V965848 = V239484. assign V463861 = V152105. assign V255827 = V788668. assign V503706 = V262238 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V719366 = V970424. assign V006239 = V676204 + 1. assign V355740 = V694273 + 1. assign V447414 = V608448 - 1. assign V862039 = V006239 - 1. assign V463366 = V216868 + 1. assign V741998 = V329843. assign V694273 = V738397 + 1. assign V340577 = V000922 - 1. assign V336468 = V676204. assign V262928 = V450052 + 1. assign V718287 = V546535 + 1. assign V269998 = V015673. assign V844357 = V721588 + 1. assign V184190 = V484890. assign V558502 = V972287 + 1. assign V493895 = V297545. assign V331528 = V005719. assign V971013 = V946350. assign V052123 = V817372 - 1. assign V149850 = V235911 + 1. assign V435431 = V485468 + 1. assign V364051 = V294910 + 1. assign V112077 = V676204. assign V393648 = V844357. assign V118896 = V788668. assign V695903 = V154355. assign V430676 = V504368. assign V039575 = V485468 + 1. assign V795389 = V622618 - 1. assign V105732 = V714430 + 1. assign V041091 = V695492 + 1. assign V822823 = V714430 - 1. assign V000922 = V755755 - 1. assign V258104 = V451808 + 1. assign V718716 = V095850 + 1. assign V689380 = V484890 - 1. assign V230946 = V503706. assign V543009 = V678941 - 1. assign V002797 = V016705 - 1. assign V329843 = V608448. assign V721588 = V235911 + 1. assign V876340 = V970424. assign V779255 = V988311 - 1. assign V154355 = V714430 - 1. assign V595451 = V201324 + 1. assign V622618 = V965848 - 1. assign V201324 = V504368 + 1. assign V339306 = V339322 + 1. assign V239484 = V095850 + 1. assign V550904 = V972287 - 1. assign V153047 = V430676 - 1. assign V612441 = V732946 + 1. assign V710162 = V015673 + 1. assign V016705 = V395992 + 1. assign V925380 = V216868 + 1. assign V095850 = V395992 - 1. assign V738397 = V235911 + 1. assign V318928 = V821062. assign V286929 = V500133 - 1. assign V891413 = V755755 + 1. assign V864017 = V966752 - 1. assign V750485 = V230946 + 1. assign V851705 = V297545 + 1. assign V504368 = V738397 + 1. assign V172903 = V031295 - 1. assign V556385 = V943500 - 1. assign V631902 = V695492 + 1. assign V833361 = V331528 + 1. assign V695492 = V738397 - 1. assign V455402 = V972287 - 1. assign V149907 = V262238 - 1. assign V397002 = V755755 + 1. assign V789349 = V269998. assign V408713 = V652018 - 1. assign V485468 = V057352. assign V972287 = V988311 - 1. assign V670778 = V297545 + 1. assign V015673 = V676204 + 1. assign V607692 = V709594 + 1. assign V005719 = V485468. assign V339322 = V807177 - 1. assign V724971 = V789349 - 1. assign V538340 = V946350. assign V450052 = V112077 + 1. assign V669411 = V695492 - 1. assign V235911 = V331532 - 1. assign V186165 = V557646. assign V057352 = V608448 - 1. assign V050894 = V131022 + 1. assign V031295 = V913678 + 1. assign V297545 = V235911 + 1. assign V216064 = V423299 - 1. assign V988311 = V721588. assign V407050 = V972287 - 1. assign V652018 = V235911 - 1. assign V711986 = V891413 + 1. assign V294910 = V732946 - 1. assign V821062 = V016705 - 1. assign V451808 = 0. assign V371259 = V500133 - 1. assign V212174 = V078392 - 1. assign V913678 = V966752 - 1. assign V924315 = V149907 + 1. assign V423299 = V744058 + 1. assign V268566 = V393648 + 1. assign V795689 = V652018 + 1. assign V742210 = V118896. assign V817372 = V755755. assign V216868 = V395992 + 1. assign V078392 = V744058 + 1. assign V557646 = V269998. assign V796302 = V500133. assign V051479 = V000922. assign V276311 = V331532. assign V171671 = V821062 - 1. assign V262238 = V015673. assign V935011 = V738397. assign V755755 = V016705. assign V152105 = V235911 + 1. assign V788668 = V714430 + 1. assign V806485 = V239484 - 1. assign V807177 = V006239 - 1. assign V714430 = V652018. assign V006949 = V988311 + 1. assign V119059 = V184190 - 1. assign V395992 = V844357 + 1. assign V126459 = V078392 + 1. assign V943500 = V395992 - 1. assign V427606 = V112077. assign V105389 = V329843. assign V946350 = V275189 - 1. assign V232214 = V339322 + 1. assign V732946 = V714430 - 1. assign V219410 = V724971. assign V052453 = V943500. assign V131022 = V972287 + 1. assign V415076 = V732946 + 1. assign V676204 = V844357. assign V569365 = V188031 - 1. assign V331128 = V500133 + 1. assign V458106 = V709594 + 1. assign V144339 = V149850 + 1. assign V956267 = V427606 - 1. assign V970424 = V732946. assign V484890 = V275189 - 1. assign V510990 = V608448 + 1. assign V546535 = V286929 + 1. assign V037104 = V484890 - 1. assign V966752 = V239484 - 1. assign V744058 = V946350 - 1. assign V870340 = V355740 + 1. assign V500133 = V269998. assign V709594 = V500133 - 1. assign V355153 = V435431 - 1. assign V753350 = V484890 - 1. assign V507182 = V408713. assign V678941 = V744058 + 1. assign V188031 = V006239 - 1. assign V608448 = V988311 + 1. assign V391909 = V078392 + 1. assign V259664 = V006949. assign V246062 = V504368 + 1. assign V501187 = V016705. assign V409638 = V131022. assign V275189 = V235911. assign V645570 = V612441 + 1. assign V856271 = V779255 - 1. assign V965848 = V239484. assign V463861 = V152105. assign V255827 = V788668. assign V503706 = V262238 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV451808 = 0;\n\nFrom these direct assignment(s), we have: \nV258104 = V451808 + 1 = 0 + 1 =1;\nNo other variables can be derived from V258104;\nNo other variables can be derived from V451808;\n\nNow we have done all the calculations. Derived variables are:\nV451808 = 0;\nV258104 = 1;\n\nNow we have finished this problem. ANSWER:\nV451808\n", "role": "assistant" } ]

[ "V543641", "V425239" ]

[ { "content": "<context>\nassign V904417 = V462580 - 1. assign V366584 = V160879. assign V144078 = V532704 + 1. assign V025405 = V071923 - 1. assign V459783 = V721064 - 1. assign V020977 = V040429 + 1. assign V557779 = V854001. assign V326651 = V904417 + 1. assign V029867 = V860202 - 1. assign V000860 = V570186 - 1. assign V183087 = V787438 + 1. assign V071923 = V282950. assign V257675 = V029867 - 1. assign V787438 = V860202. assign V570186 = V282950 - 1. assign V297923 = V739083. assign V281034 = V338679 - 1. assign V044674 = V780452. assign V379612 = V193447 - 1. assign V187630 = V320141. assign V835449 = V205834 + 1. assign V949227 = V532704. assign V375061 = V532704 + 1. assign V858410 = V282950 - 1. assign V193447 = V570186. assign V814655 = V860202. assign V133067 = V015737 + 1. assign V250274 = V782336 - 1. assign V721064 = V759892 + 1. assign V589483 = V145010. assign V560300 = V630945. assign V679355 = V835449 - 1. assign V901323 = V594923 - 1. assign V408754 = V366919. assign V233999 = V453949 + 1. assign V332189 = V668171 - 1. assign V327566 = V250274 - 1. assign V866564 = V282950. assign V532321 = V838966 + 1. assign V213819 = V782336 + 1. assign V711134 = V458616 - 1. assign V188689 = V282950 + 1. assign V741166 = V107425 + 1. assign V920193 = V782336. assign V782346 = V366584 - 1. assign V040429 = V759892 - 1. assign V233260 = V782336. assign V338679 = V366919. assign V194445 = V759892. assign V487802 = V256276. assign V043481 = V160879 - 1. assign V026583 = V152478. assign V270368 = V516422 + 1. assign V214182 = V516422. assign V215570 = V570186 - 1. assign V594923 = V274065 - 1. assign V608315 = V029867 + 1. assign V978602 = V193447 + 1. assign V699952 = V737743. assign V052145 = V193447 - 1. assign V342293 = V592826 + 1. assign V854001 = V270368. assign V570973 = V920193 - 1. assign V073082 = V462580 - 1. assign V245506 = V532704 - 1. assign V853739 = V071923 - 1. assign V248225 = V553830 - 1. assign V152478 = V907679. assign V630945 = V462580 + 1. assign V552788 = V699952. assign V480483 = V853739 - 1. assign V483953 = V553830 - 1. assign V685995 = V047908 - 1. assign V047089 = V457590 + 1. assign V015737 = V026583 - 1. assign V844970 = V073082 - 1. assign V444159 = V446704 - 1. assign V330748 = V895359. assign V784192 = V152478. assign V109748 = V487802 - 1. assign V274065 = V759892. assign V829564 = V949227. assign V488495 = V854001 - 1. assign V458616 = V993142. assign V735988 = V741166. assign V457590 = V630945 + 1. assign V782336 = V232321 - 1. assign V226342 = V867532 + 1. assign V604218 = V029867 - 1. assign V499411 = V798734 + 1. assign V175632 = V978602. assign V112001 = V600032. assign V453949 = V020977 + 1. assign V160879 = V193447 + 1. assign V272582 = V270368 + 1. assign V739083 = V052145. assign V944355 = V867532. assign V127475 = V214182 - 1. assign V516422 = V071923 - 1. assign V036250 = V821797. assign V532704 = V282950 - 1. assign V107425 = V205834. assign V238168 = V366919. assign V329267 = V215570 + 1. assign V218980 = V144078 - 1. assign V050492 = V160879 + 1. assign V270445 = V071923 + 1. assign V320141 = V787438. assign V532917 = V692058 - 1. assign V047908 = V594923 - 1. assign V428974 = V215570 - 1. assign V983368 = V907679 - 1. assign V783181 = V983368 + 1. assign V838966 = V759892 + 1. assign V966623 = V483953 + 1. assign V600032 = V737743 - 1. assign V051397 = V758545 - 1. assign V623865 = V160879 - 1. assign V993142 = V858410. assign V232321 = V000860. assign V550828 = V462580 + 1. assign V366919 = V594923 + 1. assign V543641 = 4. assign V907679 = V071923. assign V462580 = V250274. assign V240823 = V107425 - 1. assign V425239 = V543641. assign V630716 = V978602. assign V737743 = V366919 + 1. assign V259962 = V205834 - 1. assign V798734 = V133067. assign V592826 = V787438. assign V895359 = V281729 - 1. assign V237047 = V782336 - 1. assign V152376 = V044674 - 1. assign V614276 = V589483. assign V112064 = V047089 - 1. assign V879529 = V787438 + 1. assign V759892 = V282950 - 1. assign V382222 = V330748 - 1. assign V668171 = V270445. assign V935939 = V759892 + 1. assign V598263 = V594923 - 1. assign V100300 = V213819 - 1. assign V495736 = V297923. assign V821797 = V480483 + 1. assign V073929 = V257675. assign V553830 = V214182 - 1. assign V987624 = V668171 + 1. assign V867532 = V144078. assign V418489 = V259962. assign V947289 = V052145 + 1. assign V364624 = V025405 + 1. assign V780452 = V721064 + 1. assign V145010 = V418489. assign V758545 = V594923. assign V400647 = V274065 + 1. assign V256276 = V853739 - 1. assign V281729 = V274065 - 1. assign V843136 = V459783 + 1. assign V968219 = V858410. assign V973108 = V379612 + 1. assign V649874 = V052145 + 1. assign V205834 = V274065 - 1. assign V570552 = V281729. assign V692058 = V214182 - 1. assign V446704 = V233260. assign V396986 = V570186 + 1. assign V860202 = V721064 + 1. assign V272435 = V281034. assign V291061 = V160879. assign V793121 = V759892 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V904417 = V462580 - 1. assign V366584 = V160879. assign V144078 = V532704 + 1. assign V025405 = V071923 - 1. assign V459783 = V721064 - 1. assign V020977 = V040429 + 1. assign V557779 = V854001. assign V326651 = V904417 + 1. assign V029867 = V860202 - 1. assign V000860 = V570186 - 1. assign V183087 = V787438 + 1. assign V071923 = V282950. assign V257675 = V029867 - 1. assign V787438 = V860202. assign V570186 = V282950 - 1. assign V297923 = V739083. assign V281034 = V338679 - 1. assign V044674 = V780452. assign V379612 = V193447 - 1. assign V187630 = V320141. assign V835449 = V205834 + 1. assign V949227 = V532704. assign V375061 = V532704 + 1. assign V858410 = V282950 - 1. assign V193447 = V570186. assign V814655 = V860202. assign V133067 = V015737 + 1. assign V250274 = V782336 - 1. assign V721064 = V759892 + 1. assign V589483 = V145010. assign V560300 = V630945. assign V679355 = V835449 - 1. assign V901323 = V594923 - 1. assign V408754 = V366919. assign V233999 = V453949 + 1. assign V332189 = V668171 - 1. assign V327566 = V250274 - 1. assign V866564 = V282950. assign V532321 = V838966 + 1. assign V213819 = V782336 + 1. assign V711134 = V458616 - 1. assign V188689 = V282950 + 1. assign V741166 = V107425 + 1. assign V920193 = V782336. assign V782346 = V366584 - 1. assign V040429 = V759892 - 1. assign V233260 = V782336. assign V338679 = V366919. assign V194445 = V759892. assign V487802 = V256276. assign V043481 = V160879 - 1. assign V026583 = V152478. assign V270368 = V516422 + 1. assign V214182 = V516422. assign V215570 = V570186 - 1. assign V594923 = V274065 - 1. assign V608315 = V029867 + 1. assign V978602 = V193447 + 1. assign V699952 = V737743. assign V052145 = V193447 - 1. assign V342293 = V592826 + 1. assign V854001 = V270368. assign V570973 = V920193 - 1. assign V073082 = V462580 - 1. assign V245506 = V532704 - 1. assign V853739 = V071923 - 1. assign V248225 = V553830 - 1. assign V152478 = V907679. assign V630945 = V462580 + 1. assign V552788 = V699952. assign V480483 = V853739 - 1. assign V483953 = V553830 - 1. assign V685995 = V047908 - 1. assign V047089 = V457590 + 1. assign V015737 = V026583 - 1. assign V844970 = V073082 - 1. assign V444159 = V446704 - 1. assign V330748 = V895359. assign V784192 = V152478. assign V109748 = V487802 - 1. assign V274065 = V759892. assign V829564 = V949227. assign V488495 = V854001 - 1. assign V458616 = V993142. assign V735988 = V741166. assign V457590 = V630945 + 1. assign V782336 = V232321 - 1. assign V226342 = V867532 + 1. assign V604218 = V029867 - 1. assign V499411 = V798734 + 1. assign V175632 = V978602. assign V112001 = V600032. assign V453949 = V020977 + 1. assign V160879 = V193447 + 1. assign V272582 = V270368 + 1. assign V739083 = V052145. assign V944355 = V867532. assign V127475 = V214182 - 1. assign V516422 = V071923 - 1. assign V036250 = V821797. assign V532704 = V282950 - 1. assign V107425 = V205834. assign V238168 = V366919. assign V329267 = V215570 + 1. assign V218980 = V144078 - 1. assign V050492 = V160879 + 1. assign V270445 = V071923 + 1. assign V320141 = V787438. assign V532917 = V692058 - 1. assign V047908 = V594923 - 1. assign V428974 = V215570 - 1. assign V983368 = V907679 - 1. assign V783181 = V983368 + 1. assign V838966 = V759892 + 1. assign V966623 = V483953 + 1. assign V600032 = V737743 - 1. assign V051397 = V758545 - 1. assign V623865 = V160879 - 1. assign V993142 = V858410. assign V232321 = V000860. assign V550828 = V462580 + 1. assign V366919 = V594923 + 1. assign V543641 = 4. assign V907679 = V071923. assign V462580 = V250274. assign V240823 = V107425 - 1. assign V425239 = V543641. assign V630716 = V978602. assign V737743 = V366919 + 1. assign V259962 = V205834 - 1. assign V798734 = V133067. assign V592826 = V787438. assign V895359 = V281729 - 1. assign V237047 = V782336 - 1. assign V152376 = V044674 - 1. assign V614276 = V589483. assign V112064 = V047089 - 1. assign V879529 = V787438 + 1. assign V759892 = V282950 - 1. assign V382222 = V330748 - 1. assign V668171 = V270445. assign V935939 = V759892 + 1. assign V598263 = V594923 - 1. assign V100300 = V213819 - 1. assign V495736 = V297923. assign V821797 = V480483 + 1. assign V073929 = V257675. assign V553830 = V214182 - 1. assign V987624 = V668171 + 1. assign V867532 = V144078. assign V418489 = V259962. assign V947289 = V052145 + 1. assign V364624 = V025405 + 1. assign V780452 = V721064 + 1. assign V145010 = V418489. assign V758545 = V594923. assign V400647 = V274065 + 1. assign V256276 = V853739 - 1. assign V281729 = V274065 - 1. assign V843136 = V459783 + 1. assign V968219 = V858410. assign V973108 = V379612 + 1. assign V649874 = V052145 + 1. assign V205834 = V274065 - 1. assign V570552 = V281729. assign V692058 = V214182 - 1. assign V446704 = V233260. assign V396986 = V570186 + 1. assign V860202 = V721064 + 1. assign V272435 = V281034. assign V291061 = V160879. assign V793121 = V759892 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV543641 = 4;\n\nFrom these direct assignment(s), we have: \nV425239 = V543641 = 4;\nNo other variables can be derived from V425239;\nNo other variables can be derived from V543641;\n\nNow we have done all the calculations. Derived variables are:\nV543641 = 4;\nV425239 = 4;\n\nNow we have finished this problem. ANSWER:\nV543641, V425239\n", "role": "assistant" } ]

[ "V993189", "V257425" ]

[ { "content": "<context>\nassign V678446 = V132470 + 1. assign V224342 = V766674 - 1. assign V122071 = V308981 - 1. assign V110694 = V264074 - 1. assign V936813 = V532216. assign V355105 = V766674. assign V707819 = V613600 - 1. assign V979897 = V601624 - 1. assign V254375 = V609445. assign V550107 = V652702 + 1. assign V719567 = V096932. assign V449191 = V810107. assign V106458 = V768792. assign V275712 = V489496 + 1. assign V519524 = V810107 - 1. assign V768792 = V608618 + 1. assign V667658 = V519524. assign V205540 = V132470. assign V399316 = V609445. assign V838461 = V559178 + 1. assign V791025 = V736617 + 1. assign V876807 = V143734 - 1. assign V512126 = V358974 + 1. assign V926830 = V974064. assign V609445 = V722441. assign V366493 = V227495 - 1. assign V117790 = V227495 - 1. assign V726167 = V678446 - 1. assign V002262 = V342619 + 1. assign V104379 = V727017. assign V834594 = V896431 + 1. assign V182845 = V586321 + 1. assign V979008 = V132470. assign V367558 = V205540 - 1. assign V595937 = V399316 + 1. assign V029516 = V225454. assign V618280 = V081788 + 1. assign V279645 = V608618 - 1. assign V071928 = V700123. assign V168959 = V810107. assign V972293 = V936813 - 1. assign V247391 = V260706 + 1. assign V000755 = V882576. assign V322852 = V308981 - 1. assign V152788 = V208255 + 1. assign V982846 = V564469. assign V806821 = V206972. assign V241755 = V678446 + 1. assign V993189 = 8. assign V574951 = V190669 + 1. assign V800431 = V727017 - 1. assign V124918 = V081788. assign V178371 = V027164 - 1. assign V578882 = V143734 - 1. assign V468886 = V767501 + 1. assign V342619 = V652702 + 1. assign V660155 = V388123 - 1. assign V614369 = V876807. assign V269992 = V609445 + 1. assign V579720 = V544599 - 1. assign V882576 = V635075 - 1. assign V650788 = V000755. assign V544599 = V587259. assign V670060 = V519524 - 1. assign V834393 = V168959 - 1. assign V124705 = V469817. assign V411138 = V544599 + 1. assign V924780 = V178371 + 1. assign V555110 = V722441. assign V143734 = V608618 + 1. assign V985944 = V668486 + 1. assign V461127 = V613600. assign V586321 = V747429. assign V652702 = V810107. assign V316555 = V471822 - 1. assign V234249 = V308981 - 1. assign V096932 = V418372 + 1. assign V878720 = V722441 + 1. assign V489496 = V550107 - 1. assign V683534 = V902377. assign V206972 = V471822 + 1. assign V722441 = V502032 + 1. assign V559178 = V027164 + 1. assign V727017 = V810107 + 1. assign V176565 = V726167. assign V308981 = V227495. assign V112828 = V275712 + 1. assign V658836 = V260706 + 1. assign V816916 = V707819 + 1. assign V225454 = V768792 + 1. assign V006901 = V264074 + 1. assign V190669 = V838461 - 1. assign V208255 = V473586 - 1. assign V810107 = V608618. assign V896431 = V635075 + 1. assign V558775 = V810107 + 1. assign V698997 = V205540. assign V370949 = V726167 - 1. assign V691353 = V308981 - 1. assign V200766 = V747429. assign V260706 = V316555 + 1. assign V554749 = V418372. assign V299736 = V691353 - 1. assign V281006 = V727017 - 1. assign V925408 = V418372. assign V254224 = V683534. assign V377174 = V652702 + 1. assign V062144 = V281006 + 1. assign V219618 = V449191 + 1. assign V222693 = V168959 - 1. assign V626027 = V081788 - 1. assign V388123 = V876807 - 1. assign V700123 = V037027. assign V665102 = V358950. assign V902377 = V219618. assign V681332 = V834393. assign V392964 = V810107. assign V257425 = V993189. assign V155163 = V795399. assign V953382 = V806821 + 1. assign V060839 = V578882 - 1. assign V564469 = V678446 - 1. assign V115874 = V117790 + 1. assign V502032 = V608618 + 1. assign V027164 = V143734 + 1. assign V349796 = V182845. assign V903140 = V768792. assign V008582 = V882576 + 1. assign V251593 = V810107 + 1. assign V453769 = V322852 - 1. assign V747429 = V791025. assign V552514 = V155163 + 1. assign V766674 = V660155 - 1. assign V974397 = V608618 - 1. assign V427545 = V159198. assign V668486 = V722441 - 1. assign V464589 = V519524. assign V996277 = V876807 + 1. assign V744621 = V795399. assign V854382 = V586321. assign V601624 = V143734 - 1. assign V958407 = V418372 - 1. assign V358950 = V678446. assign V473586 = V227495 + 1. assign V833116 = V810107 + 1. assign V674434 = V838461 + 1. assign V613600 = V366493 + 1. assign V974064 = V608618. assign V978862 = V550107 - 1. assign V456132 = V219618. assign V893707 = V260706. assign V619018 = V366493 + 1. assign V384775 = V502032. assign V974734 = V377174 + 1. assign V159198 = V002262. assign V680860 = V564469 + 1. assign V736617 = V143734 + 1. assign V358974 = V384775. assign V029244 = V275712 - 1. assign V532216 = V342619 - 1. assign V795399 = V559178 - 1. assign V471822 = V205540 + 1. assign V227495 = V205540 - 1. assign V264074 = V225454 + 1. assign V418372 = V168959 + 1. assign V037027 = V974397. assign V587259 = V037027 - 1. assign V132470 = V502032 - 1. assign V767501 = V736617 - 1. assign V635075 = V722441 - 1. assign V469817 = V247391 + 1. assign V081788 = V559178 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V678446 = V132470 + 1. assign V224342 = V766674 - 1. assign V122071 = V308981 - 1. assign V110694 = V264074 - 1. assign V936813 = V532216. assign V355105 = V766674. assign V707819 = V613600 - 1. assign V979897 = V601624 - 1. assign V254375 = V609445. assign V550107 = V652702 + 1. assign V719567 = V096932. assign V449191 = V810107. assign V106458 = V768792. assign V275712 = V489496 + 1. assign V519524 = V810107 - 1. assign V768792 = V608618 + 1. assign V667658 = V519524. assign V205540 = V132470. assign V399316 = V609445. assign V838461 = V559178 + 1. assign V791025 = V736617 + 1. assign V876807 = V143734 - 1. assign V512126 = V358974 + 1. assign V926830 = V974064. assign V609445 = V722441. assign V366493 = V227495 - 1. assign V117790 = V227495 - 1. assign V726167 = V678446 - 1. assign V002262 = V342619 + 1. assign V104379 = V727017. assign V834594 = V896431 + 1. assign V182845 = V586321 + 1. assign V979008 = V132470. assign V367558 = V205540 - 1. assign V595937 = V399316 + 1. assign V029516 = V225454. assign V618280 = V081788 + 1. assign V279645 = V608618 - 1. assign V071928 = V700123. assign V168959 = V810107. assign V972293 = V936813 - 1. assign V247391 = V260706 + 1. assign V000755 = V882576. assign V322852 = V308981 - 1. assign V152788 = V208255 + 1. assign V982846 = V564469. assign V806821 = V206972. assign V241755 = V678446 + 1. assign V993189 = 8. assign V574951 = V190669 + 1. assign V800431 = V727017 - 1. assign V124918 = V081788. assign V178371 = V027164 - 1. assign V578882 = V143734 - 1. assign V468886 = V767501 + 1. assign V342619 = V652702 + 1. assign V660155 = V388123 - 1. assign V614369 = V876807. assign V269992 = V609445 + 1. assign V579720 = V544599 - 1. assign V882576 = V635075 - 1. assign V650788 = V000755. assign V544599 = V587259. assign V670060 = V519524 - 1. assign V834393 = V168959 - 1. assign V124705 = V469817. assign V411138 = V544599 + 1. assign V924780 = V178371 + 1. assign V555110 = V722441. assign V143734 = V608618 + 1. assign V985944 = V668486 + 1. assign V461127 = V613600. assign V586321 = V747429. assign V652702 = V810107. assign V316555 = V471822 - 1. assign V234249 = V308981 - 1. assign V096932 = V418372 + 1. assign V878720 = V722441 + 1. assign V489496 = V550107 - 1. assign V683534 = V902377. assign V206972 = V471822 + 1. assign V722441 = V502032 + 1. assign V559178 = V027164 + 1. assign V727017 = V810107 + 1. assign V176565 = V726167. assign V308981 = V227495. assign V112828 = V275712 + 1. assign V658836 = V260706 + 1. assign V816916 = V707819 + 1. assign V225454 = V768792 + 1. assign V006901 = V264074 + 1. assign V190669 = V838461 - 1. assign V208255 = V473586 - 1. assign V810107 = V608618. assign V896431 = V635075 + 1. assign V558775 = V810107 + 1. assign V698997 = V205540. assign V370949 = V726167 - 1. assign V691353 = V308981 - 1. assign V200766 = V747429. assign V260706 = V316555 + 1. assign V554749 = V418372. assign V299736 = V691353 - 1. assign V281006 = V727017 - 1. assign V925408 = V418372. assign V254224 = V683534. assign V377174 = V652702 + 1. assign V062144 = V281006 + 1. assign V219618 = V449191 + 1. assign V222693 = V168959 - 1. assign V626027 = V081788 - 1. assign V388123 = V876807 - 1. assign V700123 = V037027. assign V665102 = V358950. assign V902377 = V219618. assign V681332 = V834393. assign V392964 = V810107. assign V257425 = V993189. assign V155163 = V795399. assign V953382 = V806821 + 1. assign V060839 = V578882 - 1. assign V564469 = V678446 - 1. assign V115874 = V117790 + 1. assign V502032 = V608618 + 1. assign V027164 = V143734 + 1. assign V349796 = V182845. assign V903140 = V768792. assign V008582 = V882576 + 1. assign V251593 = V810107 + 1. assign V453769 = V322852 - 1. assign V747429 = V791025. assign V552514 = V155163 + 1. assign V766674 = V660155 - 1. assign V974397 = V608618 - 1. assign V427545 = V159198. assign V668486 = V722441 - 1. assign V464589 = V519524. assign V996277 = V876807 + 1. assign V744621 = V795399. assign V854382 = V586321. assign V601624 = V143734 - 1. assign V958407 = V418372 - 1. assign V358950 = V678446. assign V473586 = V227495 + 1. assign V833116 = V810107 + 1. assign V674434 = V838461 + 1. assign V613600 = V366493 + 1. assign V974064 = V608618. assign V978862 = V550107 - 1. assign V456132 = V219618. assign V893707 = V260706. assign V619018 = V366493 + 1. assign V384775 = V502032. assign V974734 = V377174 + 1. assign V159198 = V002262. assign V680860 = V564469 + 1. assign V736617 = V143734 + 1. assign V358974 = V384775. assign V029244 = V275712 - 1. assign V532216 = V342619 - 1. assign V795399 = V559178 - 1. assign V471822 = V205540 + 1. assign V227495 = V205540 - 1. assign V264074 = V225454 + 1. assign V418372 = V168959 + 1. assign V037027 = V974397. assign V587259 = V037027 - 1. assign V132470 = V502032 - 1. assign V767501 = V736617 - 1. assign V635075 = V722441 - 1. assign V469817 = V247391 + 1. assign V081788 = V559178 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV993189 = 8;\n\nFrom these direct assignment(s), we have: \nV257425 = V993189 = 8;\nNo other variables can be derived from V257425;\nNo other variables can be derived from V993189;\n\nNow we have done all the calculations. Derived variables are:\nV993189 = 8;\nV257425 = 8;\n\nNow we have finished this problem. ANSWER:\nV993189, V257425\n", "role": "assistant" } ]

[ "V904990" ]

[ { "content": "<context>\nassign V254092 = V777901 - 1. assign V273862 = V844883. assign V343434 = V630790. assign V555472 = V143814 + 1. assign V713088 = V896072 + 1. assign V998481 = V825708. assign V067775 = V887123 + 1. assign V306180 = V167333 + 1. assign V460654 = V162285 - 1. assign V630790 = V948419. assign V896072 = V887123 + 1. assign V693396 = V054528. assign V584704 = V658651. assign V819747 = V948419 + 1. assign V816287 = V333522 - 1. assign V868739 = V558382 + 1. assign V608812 = V188095. assign V133657 = V924965 + 1. assign V816517 = V399258. assign V205293 = V054528 - 1. assign V964665 = V478266. assign V737142 = V743850. assign V010511 = V781119 - 1. assign V570500 = V188095 - 1. assign V001932 = V278119. assign V708711 = V904990 + 1. assign V143707 = V461852. assign V278575 = V017985 - 1. assign V903256 = V032434 + 1. assign V143814 = V617710 - 1. assign V979421 = V743378 - 1. assign V126529 = V241670. assign V846704 = V333522 + 1. assign V054528 = V461852 + 1. assign V880649 = V428118 + 1. assign V582004 = V033473 - 1. assign V781119 = V743378 - 1. assign V722912 = V998481. assign V617710 = V924965 + 1. assign V086358 = V045918. assign V475201 = V478266 - 1. assign V650559 = V595003 + 1. assign V545282 = V412822 + 1. assign V447893 = V948419 + 1. assign V887123 = V712028 - 1. assign V384702 = V376242. assign V298310 = V844883 - 1. assign V848929 = V743378 - 1. assign V025310 = V416760 - 1. assign V356117 = V630790. assign V248583 = V054528. assign V100885 = V570500 + 1. assign V317205 = V033473. assign V167333 = V948419. assign V144096 = V545779 + 1. assign V177069 = V278119. assign V632543 = V054528 - 1. assign V769294 = V137903 - 1. assign V558382 = V650559. assign V399258 = V057415. assign V825708 = V948419 + 1. assign V712028 = V595003 - 1. assign V556078 = V006862. assign V924965 = V461852 - 1. assign V388206 = V333522 - 1. assign V779959 = V188095. assign V063988 = V221054. assign V499300 = V006862 + 1. assign V221978 = V361564 + 1. assign V083531 = V953472 - 1. assign V506401 = V920671. assign V984002 = V844883. assign V371862 = V630790. assign V577876 = V527137 + 1. assign V221054 = V998481. assign V623620 = V223931 + 1. assign V800873 = V769294. assign V033473 = V734303. assign V118643 = V205293 - 1. assign V032434 = V924965. assign V484442 = V246878. assign V815613 = V455879 - 1. assign V334558 = V777901. assign V743378 = V650559 - 1. assign V246878 = V604194 + 1. assign V291369 = V675897 + 1. assign V478266 = V278119. assign V278119 = V924965. assign V920671 = V388206. assign V743850 = V887123 + 1. assign V245959 = V100885. assign V333522 = V734303. assign V709061 = V143707 - 1. assign V675897 = V384702 - 1. assign V953472 = V825708 + 1. assign V604194 = V650559 - 1. assign V017278 = V570500. assign V978437 = V461852. assign V524626 = V455879 - 1. assign V658651 = V608812 + 1. assign V844883 = V017985. assign V173968 = V920671 + 1. assign V465106 = V173968 + 1. assign V654048 = V524626 + 1. assign V167721 = V846704 - 1. assign V569531 = V460654 + 1. assign V133853 = V032434 - 1. assign V568770 = V707989 + 1. assign V223931 = V355410 - 1. assign V523041 = V167333 + 1. assign V822918 = V953633 + 1. assign V361564 = V630790 - 1. assign V838766 = V650559 + 1. assign V777901 = V001932. assign V452166 = V137903. assign V558683 = V838766. assign V177967 = V278119 - 1. assign V377274 = V388206 - 1. assign V742172 = V878791 - 1. assign V428118 = V948419. assign V377291 = V137903 + 1. assign V241670 = V693396. assign V527137 = V608812 + 1. assign V807689 = V570500. assign V461852 = V948419 - 1. assign V707989 = V428118 + 1. assign V904990 = 9. assign V953633 = V582004 - 1. assign V262924 = V478266. assign V569432 = V924965 + 1. assign V455879 = V948419 + 1. assign V504089 = V998481. assign V423736 = V343434. assign V803775 = V777901 + 1. assign V057415 = V143814 - 1. assign V354624 = V781119 + 1. assign V545779 = V377291. assign V355502 = V570500 + 1. assign V567383 = V153105. assign V878791 = V584704 + 1. assign V484689 = V634583 - 1. assign V358374 = V777901 + 1. assign V429700 = V497416. assign V876341 = V306180 + 1. assign V932398 = V880649. assign V376242 = V278119. assign V595003 = V461852. assign V045918 = V021678. assign V153942 = V541519 + 1. assign V661367 = V623620 + 1. assign V617346 = V143707. assign V188095 = V137903 - 1. assign V162285 = V658651 - 1. assign V137903 = V595003 + 1. assign V654615 = V428118. assign V153105 = V461852 + 1. assign V006862 = V595003 - 1. assign V017985 = V948419. assign V752968 = V734303 + 1. assign V821446 = V617710. assign V634583 = V033473. assign V139526 = V779959. assign V225911 = V722912. assign V355410 = V527137 + 1. assign V734303 = V924965. assign V497416 = V781119. assign V021678 = V143814 + 1. assign V241605 = V781119 + 1. assign V321788 = V054528 - 1. assign V416760 = V153105. assign V541519 = V781119. assign V412822 = V617710 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V254092 = V777901 - 1. assign V273862 = V844883. assign V343434 = V630790. assign V555472 = V143814 + 1. assign V713088 = V896072 + 1. assign V998481 = V825708. assign V067775 = V887123 + 1. assign V306180 = V167333 + 1. assign V460654 = V162285 - 1. assign V630790 = V948419. assign V896072 = V887123 + 1. assign V693396 = V054528. assign V584704 = V658651. assign V819747 = V948419 + 1. assign V816287 = V333522 - 1. assign V868739 = V558382 + 1. assign V608812 = V188095. assign V133657 = V924965 + 1. assign V816517 = V399258. assign V205293 = V054528 - 1. assign V964665 = V478266. assign V737142 = V743850. assign V010511 = V781119 - 1. assign V570500 = V188095 - 1. assign V001932 = V278119. assign V708711 = V904990 + 1. assign V143707 = V461852. assign V278575 = V017985 - 1. assign V903256 = V032434 + 1. assign V143814 = V617710 - 1. assign V979421 = V743378 - 1. assign V126529 = V241670. assign V846704 = V333522 + 1. assign V054528 = V461852 + 1. assign V880649 = V428118 + 1. assign V582004 = V033473 - 1. assign V781119 = V743378 - 1. assign V722912 = V998481. assign V617710 = V924965 + 1. assign V086358 = V045918. assign V475201 = V478266 - 1. assign V650559 = V595003 + 1. assign V545282 = V412822 + 1. assign V447893 = V948419 + 1. assign V887123 = V712028 - 1. assign V384702 = V376242. assign V298310 = V844883 - 1. assign V848929 = V743378 - 1. assign V025310 = V416760 - 1. assign V356117 = V630790. assign V248583 = V054528. assign V100885 = V570500 + 1. assign V317205 = V033473. assign V167333 = V948419. assign V144096 = V545779 + 1. assign V177069 = V278119. assign V632543 = V054528 - 1. assign V769294 = V137903 - 1. assign V558382 = V650559. assign V399258 = V057415. assign V825708 = V948419 + 1. assign V712028 = V595003 - 1. assign V556078 = V006862. assign V924965 = V461852 - 1. assign V388206 = V333522 - 1. assign V779959 = V188095. assign V063988 = V221054. assign V499300 = V006862 + 1. assign V221978 = V361564 + 1. assign V083531 = V953472 - 1. assign V506401 = V920671. assign V984002 = V844883. assign V371862 = V630790. assign V577876 = V527137 + 1. assign V221054 = V998481. assign V623620 = V223931 + 1. assign V800873 = V769294. assign V033473 = V734303. assign V118643 = V205293 - 1. assign V032434 = V924965. assign V484442 = V246878. assign V815613 = V455879 - 1. assign V334558 = V777901. assign V743378 = V650559 - 1. assign V246878 = V604194 + 1. assign V291369 = V675897 + 1. assign V478266 = V278119. assign V278119 = V924965. assign V920671 = V388206. assign V743850 = V887123 + 1. assign V245959 = V100885. assign V333522 = V734303. assign V709061 = V143707 - 1. assign V675897 = V384702 - 1. assign V953472 = V825708 + 1. assign V604194 = V650559 - 1. assign V017278 = V570500. assign V978437 = V461852. assign V524626 = V455879 - 1. assign V658651 = V608812 + 1. assign V844883 = V017985. assign V173968 = V920671 + 1. assign V465106 = V173968 + 1. assign V654048 = V524626 + 1. assign V167721 = V846704 - 1. assign V569531 = V460654 + 1. assign V133853 = V032434 - 1. assign V568770 = V707989 + 1. assign V223931 = V355410 - 1. assign V523041 = V167333 + 1. assign V822918 = V953633 + 1. assign V361564 = V630790 - 1. assign V838766 = V650559 + 1. assign V777901 = V001932. assign V452166 = V137903. assign V558683 = V838766. assign V177967 = V278119 - 1. assign V377274 = V388206 - 1. assign V742172 = V878791 - 1. assign V428118 = V948419. assign V377291 = V137903 + 1. assign V241670 = V693396. assign V527137 = V608812 + 1. assign V807689 = V570500. assign V461852 = V948419 - 1. assign V707989 = V428118 + 1. assign V904990 = 9. assign V953633 = V582004 - 1. assign V262924 = V478266. assign V569432 = V924965 + 1. assign V455879 = V948419 + 1. assign V504089 = V998481. assign V423736 = V343434. assign V803775 = V777901 + 1. assign V057415 = V143814 - 1. assign V354624 = V781119 + 1. assign V545779 = V377291. assign V355502 = V570500 + 1. assign V567383 = V153105. assign V878791 = V584704 + 1. assign V484689 = V634583 - 1. assign V358374 = V777901 + 1. assign V429700 = V497416. assign V876341 = V306180 + 1. assign V932398 = V880649. assign V376242 = V278119. assign V595003 = V461852. assign V045918 = V021678. assign V153942 = V541519 + 1. assign V661367 = V623620 + 1. assign V617346 = V143707. assign V188095 = V137903 - 1. assign V162285 = V658651 - 1. assign V137903 = V595003 + 1. assign V654615 = V428118. assign V153105 = V461852 + 1. assign V006862 = V595003 - 1. assign V017985 = V948419. assign V752968 = V734303 + 1. assign V821446 = V617710. assign V634583 = V033473. assign V139526 = V779959. assign V225911 = V722912. assign V355410 = V527137 + 1. assign V734303 = V924965. assign V497416 = V781119. assign V021678 = V143814 + 1. assign V241605 = V781119 + 1. assign V321788 = V054528 - 1. assign V416760 = V153105. assign V541519 = V781119. assign V412822 = V617710 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV904990 = 9;\n\nFrom these direct assignment(s), we have: \nV708711 = V904990 + 1 = 9 + 1 =10;\nNo other variables can be derived from V708711;\nNo other variables can be derived from V904990;\n\nNow we have done all the calculations. Derived variables are:\nV904990 = 9;\nV708711 = 10;\n\nNow we have finished this problem. ANSWER:\nV904990\n", "role": "assistant" } ]

[ "V033641", "V322066" ]

[ { "content": "<context>\nassign V104786 = V004467. assign V116636 = V358154. assign V525258 = V923680 + 1. assign V490309 = V316774 - 1. assign V810100 = V370066 + 1. assign V657230 = V337482 - 1. assign V798265 = V279513 + 1. assign V559450 = V625543 - 1. assign V351691 = V676456 - 1. assign V283372 = V092145. assign V033641 = 6. assign V132036 = V012978. assign V410099 = V636232 - 1. assign V005920 = V791978. assign V761643 = V478843. assign V932381 = V735245 - 1. assign V078568 = V588229 + 1. assign V223828 = V351809. assign V370066 = V389815. assign V546344 = V063156 - 1. assign V357053 = V132036 - 1. assign V358154 = V768887 + 1. assign V588229 = V116636. assign V278585 = V620165 - 1. assign V914173 = V694064 + 1. assign V347301 = V913320 + 1. assign V525576 = V649318 - 1. assign V004467 = V223185 - 1. assign V569123 = V358999. assign V423529 = V991937. assign V290091 = V588229. assign V927720 = V076858 + 1. assign V625543 = V012978 - 1. assign V649318 = V063156 - 1. assign V778821 = V047713 - 1. assign V682259 = V134530 + 1. assign V775495 = V358154. assign V052745 = V538204 + 1. assign V146175 = V853680 - 1. assign V752046 = V913320. assign V110278 = V975811. assign V975811 = V351809 - 1. assign V283262 = V405348 + 1. assign V316774 = V081222. assign V536133 = V078568 - 1. assign V827595 = V878638 - 1. assign V337482 = V770543 + 1. assign V512350 = V063156 - 1. assign V349762 = V770543. assign V888082 = V351809. assign V081222 = V489280 + 1. assign V412693 = V389815 - 1. assign V641595 = V569389 + 1. assign V728509 = V063156 - 1. assign V853680 = V694064 + 1. assign V866552 = V581672. assign V636232 = V775495 + 1. assign V197195 = V979478 - 1. assign V878638 = V012978 - 1. assign V795813 = V975811 - 1. assign V462255 = V059765 + 1. assign V991937 = V151704. assign V848147 = V581672 - 1. assign V908058 = V012978 + 1. assign V330828 = V775495 + 1. assign V063483 = V913320. assign V646135 = V482513. assign V612982 = V081222 + 1. assign V834799 = V669894 + 1. assign V890459 = V798265 - 1. assign V468006 = V975811 + 1. assign V489280 = V063156 - 1. assign V358999 = V878638 - 1. assign V134530 = V923680 + 1. assign V656695 = V546344 + 1. assign V768606 = V316774 + 1. assign V181193 = V846996. assign V322066 = V033641. assign V415355 = V052745 - 1. assign V092128 = V676456. assign V324974 = V279513 - 1. assign V405348 = V358154. assign V357939 = V084243. assign V733264 = V181193 - 1. assign V482513 = V004467. assign V930292 = V538204 - 1. assign V207189 = V834799. assign V581672 = V768887. assign V235981 = V570621. assign V768887 = V270404 - 1. assign V686172 = V279513 + 1. assign V970107 = V649318 - 1. assign V639559 = V538204. assign V109025 = V636232 - 1. assign V216064 = V117498. assign V406439 = V538204. assign V676456 = V733264. assign V478389 = V878638 - 1. assign V307774 = V923680. assign V248363 = V570621. assign V033833 = V986741 - 1. assign V009622 = V913320 - 1. assign V259388 = V489280 - 1. assign V309369 = V076858 - 1. assign V791978 = V752046. assign V570621 = V625543 + 1. assign V846996 = V389815 + 1. assign V076858 = V878638 - 1. assign V773203 = V117498 - 1. assign V569389 = V834000. assign V081332 = V669894 - 1. assign V040968 = V923680 + 1. assign V338713 = V405348. assign V801252 = V389815. assign V694064 = V923680 + 1. assign V226591 = V078568. assign V275519 = V151704 + 1. assign V012978 = V768887 + 1. assign V084243 = V092145 + 1. assign V665880 = V694064 + 1. assign V996058 = V827595. assign V384167 = V275519. assign V986741 = V569123 + 1. assign V465042 = V546545 + 1. assign V590906 = V076858 - 1. assign V500757 = V324974 - 1. assign V834000 = V004467 - 1. assign V259268 = V117498 + 1. assign V546545 = V827595 - 1. assign V478843 = V801252 + 1. assign V179132 = V525576 + 1. assign V085693 = V775495. assign V913320 = V270404 + 1. assign V573088 = V596607. assign V351809 = V059765 - 1. assign V092145 = V775495 - 1. assign V803102 = V489280. assign V735245 = V410099 - 1. assign V227087 = V223185. assign V039177 = V259268 + 1. assign V484855 = V405348. assign V389815 = V270404. assign V596607 = V581672. assign V298527 = V768887. assign V047713 = V012978 - 1. assign V091370 = V735245 + 1. assign V118385 = V538204 - 1. assign V233132 = V975811. assign V710437 = V324974. assign V156276 = V930292. assign V421716 = V770543 + 1. assign V876906 = V085693. assign V491806 = V641595. assign V063156 = V768887. assign V911596 = V309369 - 1. assign V279513 = V063156 + 1. assign V693705 = V911596. assign V449797 = V081332 - 1. assign V547107 = V846996 + 1. assign V923680 = V012978 + 1. assign V223185 = V047713. assign V684793 = V728509 - 1. assign V059765 = V047713. assign V620165 = V423529 - 1. assign V860318 = V197195 + 1. assign V979478 = V223185 - 1. assign V669894 = V235981 - 1. assign V538204 = V270404 - 1. assign V151704 = V462255 - 1. assign V770543 = V878638. assign V205982 = V412693 - 1. assign V117498 = V389815.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V104786 = V004467. assign V116636 = V358154. assign V525258 = V923680 + 1. assign V490309 = V316774 - 1. assign V810100 = V370066 + 1. assign V657230 = V337482 - 1. assign V798265 = V279513 + 1. assign V559450 = V625543 - 1. assign V351691 = V676456 - 1. assign V283372 = V092145. assign V033641 = 6. assign V132036 = V012978. assign V410099 = V636232 - 1. assign V005920 = V791978. assign V761643 = V478843. assign V932381 = V735245 - 1. assign V078568 = V588229 + 1. assign V223828 = V351809. assign V370066 = V389815. assign V546344 = V063156 - 1. assign V357053 = V132036 - 1. assign V358154 = V768887 + 1. assign V588229 = V116636. assign V278585 = V620165 - 1. assign V914173 = V694064 + 1. assign V347301 = V913320 + 1. assign V525576 = V649318 - 1. assign V004467 = V223185 - 1. assign V569123 = V358999. assign V423529 = V991937. assign V290091 = V588229. assign V927720 = V076858 + 1. assign V625543 = V012978 - 1. assign V649318 = V063156 - 1. assign V778821 = V047713 - 1. assign V682259 = V134530 + 1. assign V775495 = V358154. assign V052745 = V538204 + 1. assign V146175 = V853680 - 1. assign V752046 = V913320. assign V110278 = V975811. assign V975811 = V351809 - 1. assign V283262 = V405348 + 1. assign V316774 = V081222. assign V536133 = V078568 - 1. assign V827595 = V878638 - 1. assign V337482 = V770543 + 1. assign V512350 = V063156 - 1. assign V349762 = V770543. assign V888082 = V351809. assign V081222 = V489280 + 1. assign V412693 = V389815 - 1. assign V641595 = V569389 + 1. assign V728509 = V063156 - 1. assign V853680 = V694064 + 1. assign V866552 = V581672. assign V636232 = V775495 + 1. assign V197195 = V979478 - 1. assign V878638 = V012978 - 1. assign V795813 = V975811 - 1. assign V462255 = V059765 + 1. assign V991937 = V151704. assign V848147 = V581672 - 1. assign V908058 = V012978 + 1. assign V330828 = V775495 + 1. assign V063483 = V913320. assign V646135 = V482513. assign V612982 = V081222 + 1. assign V834799 = V669894 + 1. assign V890459 = V798265 - 1. assign V468006 = V975811 + 1. assign V489280 = V063156 - 1. assign V358999 = V878638 - 1. assign V134530 = V923680 + 1. assign V656695 = V546344 + 1. assign V768606 = V316774 + 1. assign V181193 = V846996. assign V322066 = V033641. assign V415355 = V052745 - 1. assign V092128 = V676456. assign V324974 = V279513 - 1. assign V405348 = V358154. assign V357939 = V084243. assign V733264 = V181193 - 1. assign V482513 = V004467. assign V930292 = V538204 - 1. assign V207189 = V834799. assign V581672 = V768887. assign V235981 = V570621. assign V768887 = V270404 - 1. assign V686172 = V279513 + 1. assign V970107 = V649318 - 1. assign V639559 = V538204. assign V109025 = V636232 - 1. assign V216064 = V117498. assign V406439 = V538204. assign V676456 = V733264. assign V478389 = V878638 - 1. assign V307774 = V923680. assign V248363 = V570621. assign V033833 = V986741 - 1. assign V009622 = V913320 - 1. assign V259388 = V489280 - 1. assign V309369 = V076858 - 1. assign V791978 = V752046. assign V570621 = V625543 + 1. assign V846996 = V389815 + 1. assign V076858 = V878638 - 1. assign V773203 = V117498 - 1. assign V569389 = V834000. assign V081332 = V669894 - 1. assign V040968 = V923680 + 1. assign V338713 = V405348. assign V801252 = V389815. assign V694064 = V923680 + 1. assign V226591 = V078568. assign V275519 = V151704 + 1. assign V012978 = V768887 + 1. assign V084243 = V092145 + 1. assign V665880 = V694064 + 1. assign V996058 = V827595. assign V384167 = V275519. assign V986741 = V569123 + 1. assign V465042 = V546545 + 1. assign V590906 = V076858 - 1. assign V500757 = V324974 - 1. assign V834000 = V004467 - 1. assign V259268 = V117498 + 1. assign V546545 = V827595 - 1. assign V478843 = V801252 + 1. assign V179132 = V525576 + 1. assign V085693 = V775495. assign V913320 = V270404 + 1. assign V573088 = V596607. assign V351809 = V059765 - 1. assign V092145 = V775495 - 1. assign V803102 = V489280. assign V735245 = V410099 - 1. assign V227087 = V223185. assign V039177 = V259268 + 1. assign V484855 = V405348. assign V389815 = V270404. assign V596607 = V581672. assign V298527 = V768887. assign V047713 = V012978 - 1. assign V091370 = V735245 + 1. assign V118385 = V538204 - 1. assign V233132 = V975811. assign V710437 = V324974. assign V156276 = V930292. assign V421716 = V770543 + 1. assign V876906 = V085693. assign V491806 = V641595. assign V063156 = V768887. assign V911596 = V309369 - 1. assign V279513 = V063156 + 1. assign V693705 = V911596. assign V449797 = V081332 - 1. assign V547107 = V846996 + 1. assign V923680 = V012978 + 1. assign V223185 = V047713. assign V684793 = V728509 - 1. assign V059765 = V047713. assign V620165 = V423529 - 1. assign V860318 = V197195 + 1. assign V979478 = V223185 - 1. assign V669894 = V235981 - 1. assign V538204 = V270404 - 1. assign V151704 = V462255 - 1. assign V770543 = V878638. assign V205982 = V412693 - 1. assign V117498 = V389815.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV033641 = 6;\n\nFrom these direct assignment(s), we have: \nV322066 = V033641 = 6;\nNo other variables can be derived from V322066;\nNo other variables can be derived from V033641;\n\nNow we have done all the calculations. Derived variables are:\nV033641 = 6;\nV322066 = 6;\n\nNow we have finished this problem. ANSWER:\nV033641, V322066\n", "role": "assistant" } ]

[ "V371339" ]

[ { "content": "<context>\nassign V787318 = V147126. assign V303507 = V600176 - 1. assign V644313 = V645376. assign V058521 = V761886 + 1. assign V915034 = V829960 + 1. assign V193636 = V058521 - 1. assign V965122 = V514686 + 1. assign V753586 = V319084. assign V600176 = V279827 + 1. assign V634221 = V952902 - 1. assign V103912 = V241512 + 1. assign V397444 = V305378 - 1. assign V319006 = V334931 + 1. assign V927820 = V687334. assign V183648 = V761886 - 1. assign V698196 = V073545. assign V470503 = V092861 - 1. assign V073545 = V377578 + 1. assign V965864 = V266084 - 1. assign V359565 = V073545 - 1. assign V796122 = V811726 - 1. assign V371339 = 7. assign V639459 = V549535 + 1. assign V292158 = V204844 - 1. assign V210743 = V861382 + 1. assign V707361 = V022162. assign V751170 = V480851. assign V558027 = V470503 + 1. assign V357526 = V866285 + 1. assign V754815 = V532634. assign V247748 = V324047 - 1. assign V247796 = V241512. assign V383263 = V532634 - 1. assign V480851 = V927820. assign V438099 = V600176. assign V262198 = V329434 - 1. assign V507101 = V147126. assign V664545 = V929407 - 1. assign V628957 = V305378. assign V015065 = V140277 - 1. assign V861382 = V915034 + 1. assign V058402 = V866285. assign V549535 = V866285 + 1. assign V866285 = V687334 - 1. assign V500640 = V936076. assign V532634 = V329434 + 1. assign V647950 = V305378. assign V250435 = V247947. assign V973011 = V047066. assign V087101 = V761886 + 1. assign V991005 = V073545 - 1. assign V684280 = V016989 + 1. assign V557137 = V319084. assign V936076 = V751206. assign V720505 = V292158 + 1. assign V147126 = V247796. assign V935334 = V598388 + 1. assign V811726 = V003483. assign V918653 = V645376 + 1. assign V345104 = V498594 + 1. assign V809014 = V092861. assign V259559 = V756010. assign V754995 = V507101 + 1. assign V786790 = V796122 + 1. assign V991518 = V754815. assign V846098 = V063985 - 1. assign V269393 = V334931 + 1. assign V813378 = V498594. assign V097318 = V345104 + 1. assign V400642 = V453723 - 1. assign V530554 = V761886. assign V247947 = V952902 + 1. assign V420389 = V329434 + 1. assign V266084 = V829960 + 1. assign V999898 = V462331. assign V584170 = V157162. assign V470444 = V073545 + 1. assign V498594 = V247796 - 1. assign V107948 = V761886 + 1. assign V752994 = V092861. assign V157162 = V557137 + 1. assign V189179 = V055120. assign V761886 = V103912 + 1. assign V063985 = V139421 + 1. assign V092861 = V147126 - 1. assign V879667 = V377578. assign V789553 = V073545 + 1. assign V284677 = V498594 - 1. assign V934282 = V073545 + 1. assign V645376 = V600176 + 1. assign V150839 = V754815 + 1. assign V482418 = V319006. assign V425160 = V371339 + 1. assign V319084 = V166957 - 1. assign V139421 = V532634 - 1. assign V377578 = V241512 - 1. assign V009917 = V241512. assign V077890 = V247381 - 1. assign V998285 = V936076. assign V687334 = V073545 + 1. assign V234349 = V647950. assign V530757 = V687334 - 1. assign V329434 = V507101 - 1. assign V089234 = V288738 - 1. assign V166957 = V377578 - 1. assign V470184 = V866285 + 1. assign V711449 = V470184. assign V592993 = V027119 + 1. assign V607791 = V524574. assign V003483 = V915034. assign V514686 = V927820. assign V710999 = V247381 - 1. assign V500877 = V698196 + 1. assign V047066 = V639459. assign V305378 = V022162. assign V905883 = V097318. assign V022162 = V761886 + 1. assign V524574 = V140277 - 1. assign V611301 = V377578 + 1. assign V027119 = V183648 - 1. assign V462331 = V754815 - 1. assign V952902 = V927820. assign V324047 = V684280 - 1. assign V117204 = V787318 - 1. assign V536803 = V183648 + 1. assign V228140 = V952902 + 1. assign V140277 = V420389 - 1. assign V933740 = V934282 - 1. assign V032962 = V664545 - 1. assign V605141 = V929407 + 1. assign V756010 = V305378 + 1. assign V211520 = V073545. assign V760071 = V952902 - 1. assign V205136 = V003483 + 1. assign V247381 = V377578 + 1. assign V279827 = V166957. assign V663653 = V319084 + 1. assign V488815 = V266084. assign V453723 = V166957. assign V455879 = V259559 + 1. assign V268270 = V470444. assign V904796 = V077890 - 1. assign V232869 = V077890 - 1. assign V580364 = V761886 + 1. assign V088154 = V918653 + 1. assign V598388 = V166957 - 1. assign V334931 = V557137 - 1. assign V614388 = V927820 + 1. assign V100231 = V377578 + 1. assign V204844 = V687334 - 1. assign V155744 = V047066 + 1. assign V582444 = V319006 - 1. assign V751206 = V470444 + 1. assign V725788 = V936076. assign V055120 = V936076. assign V829960 = V698196 + 1. assign V269306 = V584170 + 1. assign V577223 = V269393. assign V680911 = V470184 - 1. assign V476870 = V934282 + 1. assign V929407 = V698196. assign V252080 = V087101. assign V189712 = V063985. assign V921186 = V760071 + 1. assign V571249 = V846098 + 1. assign V856306 = V305378. assign V288738 = V097318 - 1. assign V536402 = V319084. assign V016989 = V829960. assign V500881 = V756010 + 1. assign V840037 = V284677 - 1. assign V376846 = V866285.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V787318 = V147126. assign V303507 = V600176 - 1. assign V644313 = V645376. assign V058521 = V761886 + 1. assign V915034 = V829960 + 1. assign V193636 = V058521 - 1. assign V965122 = V514686 + 1. assign V753586 = V319084. assign V600176 = V279827 + 1. assign V634221 = V952902 - 1. assign V103912 = V241512 + 1. assign V397444 = V305378 - 1. assign V319006 = V334931 + 1. assign V927820 = V687334. assign V183648 = V761886 - 1. assign V698196 = V073545. assign V470503 = V092861 - 1. assign V073545 = V377578 + 1. assign V965864 = V266084 - 1. assign V359565 = V073545 - 1. assign V796122 = V811726 - 1. assign V371339 = 7. assign V639459 = V549535 + 1. assign V292158 = V204844 - 1. assign V210743 = V861382 + 1. assign V707361 = V022162. assign V751170 = V480851. assign V558027 = V470503 + 1. assign V357526 = V866285 + 1. assign V754815 = V532634. assign V247748 = V324047 - 1. assign V247796 = V241512. assign V383263 = V532634 - 1. assign V480851 = V927820. assign V438099 = V600176. assign V262198 = V329434 - 1. assign V507101 = V147126. assign V664545 = V929407 - 1. assign V628957 = V305378. assign V015065 = V140277 - 1. assign V861382 = V915034 + 1. assign V058402 = V866285. assign V549535 = V866285 + 1. assign V866285 = V687334 - 1. assign V500640 = V936076. assign V532634 = V329434 + 1. assign V647950 = V305378. assign V250435 = V247947. assign V973011 = V047066. assign V087101 = V761886 + 1. assign V991005 = V073545 - 1. assign V684280 = V016989 + 1. assign V557137 = V319084. assign V936076 = V751206. assign V720505 = V292158 + 1. assign V147126 = V247796. assign V935334 = V598388 + 1. assign V811726 = V003483. assign V918653 = V645376 + 1. assign V345104 = V498594 + 1. assign V809014 = V092861. assign V259559 = V756010. assign V754995 = V507101 + 1. assign V786790 = V796122 + 1. assign V991518 = V754815. assign V846098 = V063985 - 1. assign V269393 = V334931 + 1. assign V813378 = V498594. assign V097318 = V345104 + 1. assign V400642 = V453723 - 1. assign V530554 = V761886. assign V247947 = V952902 + 1. assign V420389 = V329434 + 1. assign V266084 = V829960 + 1. assign V999898 = V462331. assign V584170 = V157162. assign V470444 = V073545 + 1. assign V498594 = V247796 - 1. assign V107948 = V761886 + 1. assign V752994 = V092861. assign V157162 = V557137 + 1. assign V189179 = V055120. assign V761886 = V103912 + 1. assign V063985 = V139421 + 1. assign V092861 = V147126 - 1. assign V879667 = V377578. assign V789553 = V073545 + 1. assign V284677 = V498594 - 1. assign V934282 = V073545 + 1. assign V645376 = V600176 + 1. assign V150839 = V754815 + 1. assign V482418 = V319006. assign V425160 = V371339 + 1. assign V319084 = V166957 - 1. assign V139421 = V532634 - 1. assign V377578 = V241512 - 1. assign V009917 = V241512. assign V077890 = V247381 - 1. assign V998285 = V936076. assign V687334 = V073545 + 1. assign V234349 = V647950. assign V530757 = V687334 - 1. assign V329434 = V507101 - 1. assign V089234 = V288738 - 1. assign V166957 = V377578 - 1. assign V470184 = V866285 + 1. assign V711449 = V470184. assign V592993 = V027119 + 1. assign V607791 = V524574. assign V003483 = V915034. assign V514686 = V927820. assign V710999 = V247381 - 1. assign V500877 = V698196 + 1. assign V047066 = V639459. assign V305378 = V022162. assign V905883 = V097318. assign V022162 = V761886 + 1. assign V524574 = V140277 - 1. assign V611301 = V377578 + 1. assign V027119 = V183648 - 1. assign V462331 = V754815 - 1. assign V952902 = V927820. assign V324047 = V684280 - 1. assign V117204 = V787318 - 1. assign V536803 = V183648 + 1. assign V228140 = V952902 + 1. assign V140277 = V420389 - 1. assign V933740 = V934282 - 1. assign V032962 = V664545 - 1. assign V605141 = V929407 + 1. assign V756010 = V305378 + 1. assign V211520 = V073545. assign V760071 = V952902 - 1. assign V205136 = V003483 + 1. assign V247381 = V377578 + 1. assign V279827 = V166957. assign V663653 = V319084 + 1. assign V488815 = V266084. assign V453723 = V166957. assign V455879 = V259559 + 1. assign V268270 = V470444. assign V904796 = V077890 - 1. assign V232869 = V077890 - 1. assign V580364 = V761886 + 1. assign V088154 = V918653 + 1. assign V598388 = V166957 - 1. assign V334931 = V557137 - 1. assign V614388 = V927820 + 1. assign V100231 = V377578 + 1. assign V204844 = V687334 - 1. assign V155744 = V047066 + 1. assign V582444 = V319006 - 1. assign V751206 = V470444 + 1. assign V725788 = V936076. assign V055120 = V936076. assign V829960 = V698196 + 1. assign V269306 = V584170 + 1. assign V577223 = V269393. assign V680911 = V470184 - 1. assign V476870 = V934282 + 1. assign V929407 = V698196. assign V252080 = V087101. assign V189712 = V063985. assign V921186 = V760071 + 1. assign V571249 = V846098 + 1. assign V856306 = V305378. assign V288738 = V097318 - 1. assign V536402 = V319084. assign V016989 = V829960. assign V500881 = V756010 + 1. assign V840037 = V284677 - 1. assign V376846 = V866285.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV371339 = 7;\n\nFrom these direct assignment(s), we have: \nV425160 = V371339 + 1 = 7 + 1 =8;\nNo other variables can be derived from V425160;\nNo other variables can be derived from V371339;\n\nNow we have done all the calculations. Derived variables are:\nV371339 = 7;\nV425160 = 8;\n\nNow we have finished this problem. ANSWER:\nV371339\n", "role": "assistant" } ]

[ "V734520" ]

[ { "content": "<context>\nassign V008697 = V818953 - 1. assign V255576 = V304874 + 1. assign V228421 = V816469 - 1. assign V111959 = V803486 - 1. assign V961634 = V816469 - 1. assign V830152 = V575177 + 1. assign V429060 = V320308. assign V140001 = V377999 - 1. assign V758614 = V737874. assign V320308 = V117599 + 1. assign V519688 = V507185 - 1. assign V304874 = V617506 + 1. assign V862907 = V759101. assign V552522 = V172430 + 1. assign V603019 = V435157 + 1. assign V325149 = V570035 + 1. assign V109604 = V759101 - 1. assign V578878 = V552522 - 1. assign V423354 = V117599 + 1. assign V397166 = V641962. assign V521823 = V481717. assign V411804 = V443600 - 1. assign V861966 = V117599 + 1. assign V818953 = V780084. assign V933110 = V617506 + 1. assign V681999 = V862907. assign V602413 = V818953 + 1. assign V759101 = V411804 - 1. assign V298902 = V325149 - 1. assign V220486 = V657434 + 1. assign V498706 = V143906 - 1. assign V079572 = V657434. assign V785638 = V803486. assign V168728 = V145583 + 1. assign V208918 = V391195. assign V601862 = V795481 - 1. assign V904162 = V234448 - 1. assign V757997 = V516458 + 1. assign V075459 = V521823 + 1. assign V769502 = V299083. assign V707100 = V095902. assign V101500 = V850409 - 1. assign V172430 = V435157 + 1. assign V641962 = V754186. assign V610199 = V319403 + 1. assign V554334 = V657434 + 1. assign V784448 = V242150. assign V722517 = V171352 - 1. assign V377999 = V754186 - 1. assign V391195 = V443600 + 1. assign V139903 = V795481 - 1. assign V780084 = V113123 + 1. assign V587643 = V861966. assign V344219 = V843273 - 1. assign V055242 = V307791 - 1. assign V113123 = V172430. assign V778679 = V816469 + 1. assign V650719 = V365569 - 1. assign V117599 = V617506. assign V578653 = V757997. assign V255882 = V629348 + 1. assign V951185 = V554334 + 1. assign V257275 = V366094. assign V516458 = V803486 + 1. assign V217952 = V380355. assign V101898 = V411804 - 1. assign V306600 = V850409 - 1. assign V961443 = V754186 - 1. assign V365569 = V144214. assign V803486 = V375159 + 1. assign V617506 = V145583. assign V908513 = V695426 - 1. assign V384268 = V397166 + 1. assign V610466 = V451857 + 1. assign V480187 = V621668 + 1. assign V997975 = V111959 - 1. assign V762298 = V245619 + 1. assign V223284 = V234448 + 1. assign V657434 = V228421. assign V772879 = V375159. assign V388343 = V111959 + 1. assign V375159 = V095902 - 1. assign V772335 = V375159 - 1. assign V920989 = V325149 - 1. assign V843273 = V435157. assign V435157 = V443600 + 1. assign V568110 = V143906 - 1. assign V302866 = V850409 + 1. assign V092186 = V443600 + 1. assign V590973 = V959469 + 1. assign V959469 = V481717 - 1. assign V647480 = V707100 - 1. assign V838127 = V109604 + 1. assign V834741 = V208918 - 1. assign V299083 = V111959. assign V809117 = V208918 + 1. assign V275806 = V759101. assign V144214 = V255882 - 1. assign V873068 = V657434 - 1. assign V145583 = V435157 + 1. assign V629348 = V554334. assign V404968 = V850409. assign V500813 = V377999. assign V559151 = V384268 - 1. assign V234448 = V101898 + 1. assign V261690 = V578878 + 1. assign V734520 = 1. assign V245619 = V554334. assign V497523 = V378109 - 1. assign V776689 = V208918. assign V378159 = V117599. assign V104312 = V172430. assign V945004 = V552522 - 1. assign V241775 = V759101 - 1. assign V297068 = V754186 - 1. assign V657381 = V228421. assign V850409 = V621668 - 1. assign V291058 = V228421 - 1. assign V378109 = V552522. assign V795481 = V803486. assign V355336 = V554334. assign V980512 = V969647. assign V011226 = V862907. assign V095902 = V816469 - 1. assign V424121 = V634523. assign V304127 = V095902. assign V914575 = V208918 - 1. assign V914424 = V145583. assign V919811 = V959469 - 1. assign V953010 = V411804 + 1. assign V715476 = V583280 + 1. assign V171352 = V481717. assign V047725 = V168728 - 1. assign V583280 = V904162. assign V570035 = V843273 - 1. assign V816469 = V435157 - 1. assign V324272 = V657381 + 1. assign V575177 = V325149 + 1. assign V829476 = V241775 - 1. assign V507185 = V780084 - 1. assign V900361 = V641962. assign V307867 = V291058 - 1. assign V999217 = V734520 - 1. assign V621668 = V443600 - 1. assign V931613 = V001844 - 1. assign V001844 = V862907 + 1. assign V451857 = V969647 - 1. assign V634523 = V552522 - 1. assign V319403 = V906582 + 1. assign V143906 = V641962. assign V719218 = V583280 - 1. assign V307791 = V375159 + 1. assign V248661 = V101500. assign V242150 = V391195 - 1. assign V623392 = V299083 - 1. assign V160472 = V319403. assign V695426 = V657381 + 1. assign V532312 = V245619 + 1. assign V754186 = V092186. assign V481717 = V092186 - 1. assign V240530 = V945004 - 1. assign V737874 = V140001. assign V594090 = V554334 + 1. assign V906582 = V707100 - 1. assign V888920 = V378159. assign V366094 = V355336 - 1. assign V380355 = V117599. assign V461003 = V621668. assign V515157 = V291058 + 1. assign V969647 = V795481 - 1. assign V088671 = V365569. assign V605300 = V092186 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V008697 = V818953 - 1. assign V255576 = V304874 + 1. assign V228421 = V816469 - 1. assign V111959 = V803486 - 1. assign V961634 = V816469 - 1. assign V830152 = V575177 + 1. assign V429060 = V320308. assign V140001 = V377999 - 1. assign V758614 = V737874. assign V320308 = V117599 + 1. assign V519688 = V507185 - 1. assign V304874 = V617506 + 1. assign V862907 = V759101. assign V552522 = V172430 + 1. assign V603019 = V435157 + 1. assign V325149 = V570035 + 1. assign V109604 = V759101 - 1. assign V578878 = V552522 - 1. assign V423354 = V117599 + 1. assign V397166 = V641962. assign V521823 = V481717. assign V411804 = V443600 - 1. assign V861966 = V117599 + 1. assign V818953 = V780084. assign V933110 = V617506 + 1. assign V681999 = V862907. assign V602413 = V818953 + 1. assign V759101 = V411804 - 1. assign V298902 = V325149 - 1. assign V220486 = V657434 + 1. assign V498706 = V143906 - 1. assign V079572 = V657434. assign V785638 = V803486. assign V168728 = V145583 + 1. assign V208918 = V391195. assign V601862 = V795481 - 1. assign V904162 = V234448 - 1. assign V757997 = V516458 + 1. assign V075459 = V521823 + 1. assign V769502 = V299083. assign V707100 = V095902. assign V101500 = V850409 - 1. assign V172430 = V435157 + 1. assign V641962 = V754186. assign V610199 = V319403 + 1. assign V554334 = V657434 + 1. assign V784448 = V242150. assign V722517 = V171352 - 1. assign V377999 = V754186 - 1. assign V391195 = V443600 + 1. assign V139903 = V795481 - 1. assign V780084 = V113123 + 1. assign V587643 = V861966. assign V344219 = V843273 - 1. assign V055242 = V307791 - 1. assign V113123 = V172430. assign V778679 = V816469 + 1. assign V650719 = V365569 - 1. assign V117599 = V617506. assign V578653 = V757997. assign V255882 = V629348 + 1. assign V951185 = V554334 + 1. assign V257275 = V366094. assign V516458 = V803486 + 1. assign V217952 = V380355. assign V101898 = V411804 - 1. assign V306600 = V850409 - 1. assign V961443 = V754186 - 1. assign V365569 = V144214. assign V803486 = V375159 + 1. assign V617506 = V145583. assign V908513 = V695426 - 1. assign V384268 = V397166 + 1. assign V610466 = V451857 + 1. assign V480187 = V621668 + 1. assign V997975 = V111959 - 1. assign V762298 = V245619 + 1. assign V223284 = V234448 + 1. assign V657434 = V228421. assign V772879 = V375159. assign V388343 = V111959 + 1. assign V375159 = V095902 - 1. assign V772335 = V375159 - 1. assign V920989 = V325149 - 1. assign V843273 = V435157. assign V435157 = V443600 + 1. assign V568110 = V143906 - 1. assign V302866 = V850409 + 1. assign V092186 = V443600 + 1. assign V590973 = V959469 + 1. assign V959469 = V481717 - 1. assign V647480 = V707100 - 1. assign V838127 = V109604 + 1. assign V834741 = V208918 - 1. assign V299083 = V111959. assign V809117 = V208918 + 1. assign V275806 = V759101. assign V144214 = V255882 - 1. assign V873068 = V657434 - 1. assign V145583 = V435157 + 1. assign V629348 = V554334. assign V404968 = V850409. assign V500813 = V377999. assign V559151 = V384268 - 1. assign V234448 = V101898 + 1. assign V261690 = V578878 + 1. assign V734520 = 1. assign V245619 = V554334. assign V497523 = V378109 - 1. assign V776689 = V208918. assign V378159 = V117599. assign V104312 = V172430. assign V945004 = V552522 - 1. assign V241775 = V759101 - 1. assign V297068 = V754186 - 1. assign V657381 = V228421. assign V850409 = V621668 - 1. assign V291058 = V228421 - 1. assign V378109 = V552522. assign V795481 = V803486. assign V355336 = V554334. assign V980512 = V969647. assign V011226 = V862907. assign V095902 = V816469 - 1. assign V424121 = V634523. assign V304127 = V095902. assign V914575 = V208918 - 1. assign V914424 = V145583. assign V919811 = V959469 - 1. assign V953010 = V411804 + 1. assign V715476 = V583280 + 1. assign V171352 = V481717. assign V047725 = V168728 - 1. assign V583280 = V904162. assign V570035 = V843273 - 1. assign V816469 = V435157 - 1. assign V324272 = V657381 + 1. assign V575177 = V325149 + 1. assign V829476 = V241775 - 1. assign V507185 = V780084 - 1. assign V900361 = V641962. assign V307867 = V291058 - 1. assign V999217 = V734520 - 1. assign V621668 = V443600 - 1. assign V931613 = V001844 - 1. assign V001844 = V862907 + 1. assign V451857 = V969647 - 1. assign V634523 = V552522 - 1. assign V319403 = V906582 + 1. assign V143906 = V641962. assign V719218 = V583280 - 1. assign V307791 = V375159 + 1. assign V248661 = V101500. assign V242150 = V391195 - 1. assign V623392 = V299083 - 1. assign V160472 = V319403. assign V695426 = V657381 + 1. assign V532312 = V245619 + 1. assign V754186 = V092186. assign V481717 = V092186 - 1. assign V240530 = V945004 - 1. assign V737874 = V140001. assign V594090 = V554334 + 1. assign V906582 = V707100 - 1. assign V888920 = V378159. assign V366094 = V355336 - 1. assign V380355 = V117599. assign V461003 = V621668. assign V515157 = V291058 + 1. assign V969647 = V795481 - 1. assign V088671 = V365569. assign V605300 = V092186 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV734520 = 1;\n\nFrom these direct assignment(s), we have: \nV999217 = V734520 - 1 = 1 - 1 =0;\nNo other variables can be derived from V999217;\nNo other variables can be derived from V734520;\n\nNow we have done all the calculations. Derived variables are:\nV734520 = 1;\nV999217 = 0;\n\nNow we have finished this problem. ANSWER:\nV734520\n", "role": "assistant" } ]

[ "V332150" ]

[ { "content": "<context>\nassign V430488 = V516434 - 1. assign V322078 = V767363 - 1. assign V196676 = V158243 + 1. assign V416572 = V292483 + 1. assign V774104 = V514935. assign V463111 = V962109 - 1. assign V151475 = V579593 - 1. assign V836060 = V415919. assign V077235 = V909219. assign V872441 = V985847 + 1. assign V585626 = V516434 + 1. assign V154550 = V261460. assign V676570 = V524599 + 1. assign V310669 = V476881. assign V013273 = V096345 - 1. assign V416459 = V430488. assign V265621 = V935621. assign V753971 = V435250 + 1. assign V295446 = V549413 - 1. assign V016084 = V082587 - 1. assign V072006 = V435250. assign V514935 = V870416. assign V911346 = V804896 - 1. assign V160231 = V584543. assign V736574 = V607847 + 1. assign V796520 = V962109 + 1. assign V737050 = V295446 - 1. assign V994775 = V430458. assign V064401 = V055770 + 1. assign V575343 = V295446 + 1. assign V603554 = V035464 + 1. assign V353594 = V607847 - 1. assign V289282 = V082643 - 1. assign V665605 = V165144. assign V139110 = V619130. assign V393078 = V292483 - 1. assign V548591 = V816258 - 1. assign V889743 = V514935 - 1. assign V860052 = V872441 - 1. assign V761269 = V774104 - 1. assign V951819 = V935621 - 1. assign V935456 = V035464. assign V855993 = V082587 - 1. assign V057132 = V737050 - 1. assign V476881 = V040579. assign V362527 = V985847. assign V524137 = V580954 - 1. assign V687135 = V292483 - 1. assign V813572 = V541240. assign V332150 = V197257 - 1. assign V147786 = V139110 + 1. assign V229886 = V165144 - 1. assign V607847 = V802546. assign V332454 = V962387 - 1. assign V880043 = V804222. assign V089653 = V962556 + 1. assign V087540 = V322078 - 1. assign V545837 = V546818 - 1. assign V082587 = V516434. assign V186539 = V516434 + 1. assign V040579 = V305335. assign V221903 = V430488 - 1. assign V432774 = V213972 + 1. assign V621835 = V348234. assign V096345 = V430458 + 1. assign V108513 = V295446 - 1. assign V859029 = V935621 + 1. assign V962387 = V196676 + 1. assign V023429 = V524599 - 1. assign V580954 = V753971. assign V029902 = V742662. assign V435250 = V524599 - 1. assign V888106 = V261460 + 1. assign V524599 = V549413. assign V940315 = V013273 - 1. assign V908921 = V080542 + 1. assign V649367 = V549413 - 1. assign V742662 = V064401 - 1. assign V082643 = V579593 + 1. assign V292483 = V802546 + 1. assign V962556 = V476881. assign V410581 = V261460 + 1. assign V771027 = V430458. assign V443157 = V859029. assign V807030 = V011664 + 1. assign V336064 = V322538 + 1. assign V870416 = V549413. assign V775031 = V158243. assign V416547 = V165144 + 1. assign V220112 = V453767. assign V362724 = V962556 + 1. assign V516434 = V962556 - 1. assign V816258 = V435250 + 1. assign V148869 = V962556 + 1. assign V997437 = V416459. assign V434824 = V196676. assign V541240 = V416459 + 1. assign V760378 = V935456. assign V615945 = V110292 - 1. assign V631194 = V842517 - 1. assign V874780 = V548591. assign V909219 = V775031 + 1. assign V680788 = V087540 + 1. assign V662036 = V586808 - 1. assign V803333 = V078638. assign V110292 = V041063. assign V579593 = V524599 - 1. assign V148293 = V524599. assign V352318 = V985847 - 1. assign V101269 = V110292. assign V842517 = V962556 + 1. assign V453767 = V463111 - 1. assign V564724 = V108513 + 1. assign V962109 = V549413 - 1. assign V751387 = V430488 + 1. assign V925406 = V575343 - 1. assign V767363 = V040579 + 1. assign V815367 = V813572 + 1. assign V158243 = V676570 - 1. assign V213972 = V541240 - 1. assign V935621 = V158243. assign V361811 = V435250 + 1. assign V322538 = V430488 + 1. assign V078638 = V194805 + 1. assign V261460 = V476881 + 1. assign V661899 = V619130. assign V165144 = V435250. assign V080542 = V108513 - 1. assign V683521 = V082643. assign V415919 = V305335 + 1. assign V870558 = V352318. assign V822919 = V362905. assign V305335 = V041063 - 1. assign V700220 = V994775 + 1. assign V804896 = V524599 - 1. assign V419696 = V165144 - 1. assign V501462 = V096345 - 1. assign V735390 = V064401 + 1. assign V678481 = V080542. assign V802546 = V962556 - 1. assign V430458 = V415919 - 1. assign V503041 = V416459 - 1. assign V549413 = V985847 + 1. assign V720435 = V110292 + 1. assign V035464 = V194805 - 1. assign V011664 = V447048 - 1. assign V968249 = V775031 - 1. assign V586808 = V186539. assign V116617 = V305335. assign V260639 = V096345. assign V914037 = V579593 - 1. assign V055770 = V116617 - 1. assign V348234 = V753971 - 1. assign V447048 = V186539 + 1. assign V194805 = V040579 + 1. assign V773195 = V802546 - 1. assign V791783 = V621835 + 1. assign V362905 = V016084 + 1. assign V764423 = V108513. assign V546818 = V585626. assign V373752 = V968249. assign V622360 = V041063 - 1. assign V584543 = V373752 - 1. assign V804222 = V619130. assign V248029 = V751387 + 1. assign V619130 = V453767. assign V995418 = V322078. assign V197257 = 10. assign V608370 = V585626 - 1. assign V324244 = V764423 + 1. assign V985847 = V305335 + 1. assign V221172 = V607847 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V430488 = V516434 - 1. assign V322078 = V767363 - 1. assign V196676 = V158243 + 1. assign V416572 = V292483 + 1. assign V774104 = V514935. assign V463111 = V962109 - 1. assign V151475 = V579593 - 1. assign V836060 = V415919. assign V077235 = V909219. assign V872441 = V985847 + 1. assign V585626 = V516434 + 1. assign V154550 = V261460. assign V676570 = V524599 + 1. assign V310669 = V476881. assign V013273 = V096345 - 1. assign V416459 = V430488. assign V265621 = V935621. assign V753971 = V435250 + 1. assign V295446 = V549413 - 1. assign V016084 = V082587 - 1. assign V072006 = V435250. assign V514935 = V870416. assign V911346 = V804896 - 1. assign V160231 = V584543. assign V736574 = V607847 + 1. assign V796520 = V962109 + 1. assign V737050 = V295446 - 1. assign V994775 = V430458. assign V064401 = V055770 + 1. assign V575343 = V295446 + 1. assign V603554 = V035464 + 1. assign V353594 = V607847 - 1. assign V289282 = V082643 - 1. assign V665605 = V165144. assign V139110 = V619130. assign V393078 = V292483 - 1. assign V548591 = V816258 - 1. assign V889743 = V514935 - 1. assign V860052 = V872441 - 1. assign V761269 = V774104 - 1. assign V951819 = V935621 - 1. assign V935456 = V035464. assign V855993 = V082587 - 1. assign V057132 = V737050 - 1. assign V476881 = V040579. assign V362527 = V985847. assign V524137 = V580954 - 1. assign V687135 = V292483 - 1. assign V813572 = V541240. assign V332150 = V197257 - 1. assign V147786 = V139110 + 1. assign V229886 = V165144 - 1. assign V607847 = V802546. assign V332454 = V962387 - 1. assign V880043 = V804222. assign V089653 = V962556 + 1. assign V087540 = V322078 - 1. assign V545837 = V546818 - 1. assign V082587 = V516434. assign V186539 = V516434 + 1. assign V040579 = V305335. assign V221903 = V430488 - 1. assign V432774 = V213972 + 1. assign V621835 = V348234. assign V096345 = V430458 + 1. assign V108513 = V295446 - 1. assign V859029 = V935621 + 1. assign V962387 = V196676 + 1. assign V023429 = V524599 - 1. assign V580954 = V753971. assign V029902 = V742662. assign V435250 = V524599 - 1. assign V888106 = V261460 + 1. assign V524599 = V549413. assign V940315 = V013273 - 1. assign V908921 = V080542 + 1. assign V649367 = V549413 - 1. assign V742662 = V064401 - 1. assign V082643 = V579593 + 1. assign V292483 = V802546 + 1. assign V962556 = V476881. assign V410581 = V261460 + 1. assign V771027 = V430458. assign V443157 = V859029. assign V807030 = V011664 + 1. assign V336064 = V322538 + 1. assign V870416 = V549413. assign V775031 = V158243. assign V416547 = V165144 + 1. assign V220112 = V453767. assign V362724 = V962556 + 1. assign V516434 = V962556 - 1. assign V816258 = V435250 + 1. assign V148869 = V962556 + 1. assign V997437 = V416459. assign V434824 = V196676. assign V541240 = V416459 + 1. assign V760378 = V935456. assign V615945 = V110292 - 1. assign V631194 = V842517 - 1. assign V874780 = V548591. assign V909219 = V775031 + 1. assign V680788 = V087540 + 1. assign V662036 = V586808 - 1. assign V803333 = V078638. assign V110292 = V041063. assign V579593 = V524599 - 1. assign V148293 = V524599. assign V352318 = V985847 - 1. assign V101269 = V110292. assign V842517 = V962556 + 1. assign V453767 = V463111 - 1. assign V564724 = V108513 + 1. assign V962109 = V549413 - 1. assign V751387 = V430488 + 1. assign V925406 = V575343 - 1. assign V767363 = V040579 + 1. assign V815367 = V813572 + 1. assign V158243 = V676570 - 1. assign V213972 = V541240 - 1. assign V935621 = V158243. assign V361811 = V435250 + 1. assign V322538 = V430488 + 1. assign V078638 = V194805 + 1. assign V261460 = V476881 + 1. assign V661899 = V619130. assign V165144 = V435250. assign V080542 = V108513 - 1. assign V683521 = V082643. assign V415919 = V305335 + 1. assign V870558 = V352318. assign V822919 = V362905. assign V305335 = V041063 - 1. assign V700220 = V994775 + 1. assign V804896 = V524599 - 1. assign V419696 = V165144 - 1. assign V501462 = V096345 - 1. assign V735390 = V064401 + 1. assign V678481 = V080542. assign V802546 = V962556 - 1. assign V430458 = V415919 - 1. assign V503041 = V416459 - 1. assign V549413 = V985847 + 1. assign V720435 = V110292 + 1. assign V035464 = V194805 - 1. assign V011664 = V447048 - 1. assign V968249 = V775031 - 1. assign V586808 = V186539. assign V116617 = V305335. assign V260639 = V096345. assign V914037 = V579593 - 1. assign V055770 = V116617 - 1. assign V348234 = V753971 - 1. assign V447048 = V186539 + 1. assign V194805 = V040579 + 1. assign V773195 = V802546 - 1. assign V791783 = V621835 + 1. assign V362905 = V016084 + 1. assign V764423 = V108513. assign V546818 = V585626. assign V373752 = V968249. assign V622360 = V041063 - 1. assign V584543 = V373752 - 1. assign V804222 = V619130. assign V248029 = V751387 + 1. assign V619130 = V453767. assign V995418 = V322078. assign V197257 = 10. assign V608370 = V585626 - 1. assign V324244 = V764423 + 1. assign V985847 = V305335 + 1. assign V221172 = V607847 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV197257 = 10;\n\nFrom these direct assignment(s), we have: \nV332150 = V197257 - 1 = 10 - 1 =9;\nNo other variables can be derived from V332150;\nNo other variables can be derived from V197257;\n\nNow we have done all the calculations. Derived variables are:\nV197257 = 10;\nV332150 = 9;\n\nNow we have finished this problem. ANSWER:\nV332150\n", "role": "assistant" } ]

[ "V532048" ]

[ { "content": "<context>\nassign V995751 = V906814 - 1. assign V342033 = V139951. assign V413581 = V011445 + 1. assign V024485 = V633516 - 1. assign V731592 = V237350 + 1. assign V353701 = V307571 - 1. assign V054504 = V299326 - 1. assign V906814 = V289868 - 1. assign V127424 = V786386. assign V814109 = V008499 - 1. assign V382691 = V278329 - 1. assign V353781 = V995751 + 1. assign V784594 = V876865 + 1. assign V769862 = V006005. assign V383066 = V299326. assign V341173 = V289868 - 1. assign V147137 = V534744. assign V837085 = V685451 - 1. assign V767361 = V685963 - 1. assign V436420 = V413581 - 1. assign V715239 = V824313 - 1. assign V765029 = V685451 - 1. assign V996212 = V722198 - 1. assign V091559 = V380615 + 1. assign V099485 = V731592 + 1. assign V190312 = V906814 + 1. assign V365822 = V731592 + 1. assign V959708 = V473041. assign V608286 = V979419 + 1. assign V922353 = V837085 + 1. assign V717442 = V922353 - 1. assign V622985 = V382691. assign V289868 = V299326 - 1. assign V878138 = V310528 - 1. assign V023834 = V909993 + 1. assign V492611 = V769862 - 1. assign V379300 = V115268. assign V719108 = V383066. assign V402867 = V130466. assign V360091 = V278329 + 1. assign V687392 = V517735 - 1. assign V534490 = V618591 + 1. assign V516631 = V289868. assign V263883 = V360091. assign V473391 = V085623. assign V380615 = V922493 - 1. assign V307935 = V299326 + 1. assign V621250 = V731592 + 1. assign V779777 = V307935. assign V531124 = V804242 - 1. assign V452978 = V699976 + 1. assign V577535 = V909993 - 1. assign V167604 = V626857 - 1. assign V582744 = V357983 + 1. assign V997481 = V436420 - 1. assign V321218 = V622985 + 1. assign V876865 = V057399 - 1. assign V517735 = V307935. assign V327340 = V553700 + 1. assign V909993 = V752216 - 1. assign V254054 = V054504 + 1. assign V199337 = V097614. assign V278329 = V310528 + 1. assign V677741 = V356774 + 1. assign V615797 = 0. assign V330955 = V922493. assign V085623 = V342033 - 1. assign V130466 = V299326 + 1. assign V474634 = V307935 + 1. assign V532603 = V380615 + 1. assign V552420 = V621250 - 1. assign V389410 = V139951 + 1. assign V317800 = V142692. assign V057399 = V577535 - 1. assign V316171 = V234242 + 1. assign V301644 = V553700 + 1. assign V091336 = V979419. assign V444321 = V382691 - 1. assign V114492 = V605776. assign V113722 = V473391 - 1. assign V979419 = V534744 - 1. assign V192059 = V266445. assign V626857 = V147137 - 1. assign V112968 = V922493. assign V722198 = V008499 + 1. assign V011445 = V237350 + 1. assign V008499 = V998012 + 1. assign V595869 = V769862 - 1. assign V685963 = V317800. assign V786386 = V134115 + 1. assign V824313 = V011445 + 1. assign V365348 = V587704 - 1. assign V856413 = V621250 + 1. assign V776202 = V715239 - 1. assign V352105 = V780944 - 1. assign V588650 = V731592 - 1. assign V462093 = V065598. assign V532048 = V615797 - 1. assign V804242 = V474634 + 1. assign V605776 = V147137 - 1. assign V115268 = V383066. assign V383816 = V516631. assign V097614 = V608286. assign V440950 = V621250. assign V090555 = V135895 + 1. assign V402715 = V065598 - 1. assign V780944 = V402715. assign V356774 = V856413. assign V254922 = V752216 + 1. assign V914666 = V534744 + 1. assign V784937 = V255370 - 1. assign V246197 = V837085 - 1. assign V628001 = V142692 + 1. assign V473041 = V413581 + 1. assign V006005 = V752216. assign V310528 = V299326 - 1. assign V685451 = V341173 + 1. assign V618591 = V134115. assign V349332 = V601748. assign V706606 = V330955 + 1. assign V610448 = V234242 + 1. assign V949108 = V360091 - 1. assign V969390 = V239679 - 1. assign V752216 = V307935 + 1. assign V379047 = V995751. assign V534744 = V011445 - 1. assign V135739 = V534744. assign V508937 = V341173 - 1. assign V162077 = V266445 + 1. assign V330746 = V856413 + 1. assign V922493 = V307935. assign V633516 = V906814 - 1. assign V281670 = V601748 + 1. assign V998012 = V383066 - 1. assign V781725 = V142692. assign V892440 = V162077 - 1. assign V307571 = V365822 + 1. assign V385879 = V356774 + 1. assign V840248 = V715239. assign V272206 = V552420 + 1. assign V601748 = V142692. assign V255370 = V618591 - 1. assign V556042 = V310528 + 1. assign V029637 = V763229 - 1. assign V360463 = V588650 - 1. assign V139951 = V556042 - 1. assign V065598 = V147137 + 1. assign V488299 = V316171 - 1. assign V163663 = V552420. assign V345328 = V618591. assign V553700 = V310528 - 1. assign V587704 = V254054. assign V237350 = V307935 - 1. assign V106427 = V135895 + 1. assign V699976 = V517735 - 1. assign V135895 = V909993 + 1. assign V746761 = V776202. assign V325125 = V979419 - 1. assign V142692 = V239679 - 1. assign V402610 = V365822 + 1. assign V239679 = V556042. assign V357983 = V553700. assign V234242 = V534744 + 1. assign V266445 = V781725 + 1. assign V408803 = V492611. assign V413511 = V626857. assign V674229 = V091336 - 1. assign V687052 = V353701 + 1. assign V392131 = V674229. assign V344300 = V969390. assign V763229 = V922493 + 1. assign V134115 = V517735 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V995751 = V906814 - 1. assign V342033 = V139951. assign V413581 = V011445 + 1. assign V024485 = V633516 - 1. assign V731592 = V237350 + 1. assign V353701 = V307571 - 1. assign V054504 = V299326 - 1. assign V906814 = V289868 - 1. assign V127424 = V786386. assign V814109 = V008499 - 1. assign V382691 = V278329 - 1. assign V353781 = V995751 + 1. assign V784594 = V876865 + 1. assign V769862 = V006005. assign V383066 = V299326. assign V341173 = V289868 - 1. assign V147137 = V534744. assign V837085 = V685451 - 1. assign V767361 = V685963 - 1. assign V436420 = V413581 - 1. assign V715239 = V824313 - 1. assign V765029 = V685451 - 1. assign V996212 = V722198 - 1. assign V091559 = V380615 + 1. assign V099485 = V731592 + 1. assign V190312 = V906814 + 1. assign V365822 = V731592 + 1. assign V959708 = V473041. assign V608286 = V979419 + 1. assign V922353 = V837085 + 1. assign V717442 = V922353 - 1. assign V622985 = V382691. assign V289868 = V299326 - 1. assign V878138 = V310528 - 1. assign V023834 = V909993 + 1. assign V492611 = V769862 - 1. assign V379300 = V115268. assign V719108 = V383066. assign V402867 = V130466. assign V360091 = V278329 + 1. assign V687392 = V517735 - 1. assign V534490 = V618591 + 1. assign V516631 = V289868. assign V263883 = V360091. assign V473391 = V085623. assign V380615 = V922493 - 1. assign V307935 = V299326 + 1. assign V621250 = V731592 + 1. assign V779777 = V307935. assign V531124 = V804242 - 1. assign V452978 = V699976 + 1. assign V577535 = V909993 - 1. assign V167604 = V626857 - 1. assign V582744 = V357983 + 1. assign V997481 = V436420 - 1. assign V321218 = V622985 + 1. assign V876865 = V057399 - 1. assign V517735 = V307935. assign V327340 = V553700 + 1. assign V909993 = V752216 - 1. assign V254054 = V054504 + 1. assign V199337 = V097614. assign V278329 = V310528 + 1. assign V677741 = V356774 + 1. assign V615797 = 0. assign V330955 = V922493. assign V085623 = V342033 - 1. assign V130466 = V299326 + 1. assign V474634 = V307935 + 1. assign V532603 = V380615 + 1. assign V552420 = V621250 - 1. assign V389410 = V139951 + 1. assign V317800 = V142692. assign V057399 = V577535 - 1. assign V316171 = V234242 + 1. assign V301644 = V553700 + 1. assign V091336 = V979419. assign V444321 = V382691 - 1. assign V114492 = V605776. assign V113722 = V473391 - 1. assign V979419 = V534744 - 1. assign V192059 = V266445. assign V626857 = V147137 - 1. assign V112968 = V922493. assign V722198 = V008499 + 1. assign V011445 = V237350 + 1. assign V008499 = V998012 + 1. assign V595869 = V769862 - 1. assign V685963 = V317800. assign V786386 = V134115 + 1. assign V824313 = V011445 + 1. assign V365348 = V587704 - 1. assign V856413 = V621250 + 1. assign V776202 = V715239 - 1. assign V352105 = V780944 - 1. assign V588650 = V731592 - 1. assign V462093 = V065598. assign V532048 = V615797 - 1. assign V804242 = V474634 + 1. assign V605776 = V147137 - 1. assign V115268 = V383066. assign V383816 = V516631. assign V097614 = V608286. assign V440950 = V621250. assign V090555 = V135895 + 1. assign V402715 = V065598 - 1. assign V780944 = V402715. assign V356774 = V856413. assign V254922 = V752216 + 1. assign V914666 = V534744 + 1. assign V784937 = V255370 - 1. assign V246197 = V837085 - 1. assign V628001 = V142692 + 1. assign V473041 = V413581 + 1. assign V006005 = V752216. assign V310528 = V299326 - 1. assign V685451 = V341173 + 1. assign V618591 = V134115. assign V349332 = V601748. assign V706606 = V330955 + 1. assign V610448 = V234242 + 1. assign V949108 = V360091 - 1. assign V969390 = V239679 - 1. assign V752216 = V307935 + 1. assign V379047 = V995751. assign V534744 = V011445 - 1. assign V135739 = V534744. assign V508937 = V341173 - 1. assign V162077 = V266445 + 1. assign V330746 = V856413 + 1. assign V922493 = V307935. assign V633516 = V906814 - 1. assign V281670 = V601748 + 1. assign V998012 = V383066 - 1. assign V781725 = V142692. assign V892440 = V162077 - 1. assign V307571 = V365822 + 1. assign V385879 = V356774 + 1. assign V840248 = V715239. assign V272206 = V552420 + 1. assign V601748 = V142692. assign V255370 = V618591 - 1. assign V556042 = V310528 + 1. assign V029637 = V763229 - 1. assign V360463 = V588650 - 1. assign V139951 = V556042 - 1. assign V065598 = V147137 + 1. assign V488299 = V316171 - 1. assign V163663 = V552420. assign V345328 = V618591. assign V553700 = V310528 - 1. assign V587704 = V254054. assign V237350 = V307935 - 1. assign V106427 = V135895 + 1. assign V699976 = V517735 - 1. assign V135895 = V909993 + 1. assign V746761 = V776202. assign V325125 = V979419 - 1. assign V142692 = V239679 - 1. assign V402610 = V365822 + 1. assign V239679 = V556042. assign V357983 = V553700. assign V234242 = V534744 + 1. assign V266445 = V781725 + 1. assign V408803 = V492611. assign V413511 = V626857. assign V674229 = V091336 - 1. assign V687052 = V353701 + 1. assign V392131 = V674229. assign V344300 = V969390. assign V763229 = V922493 + 1. assign V134115 = V517735 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV615797 = 0;\n\nFrom these direct assignment(s), we have: \nV532048 = V615797 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V532048;\nNo other variables can be derived from V615797;\n\nNow we have done all the calculations. Derived variables are:\nV615797 = 0;\nV532048 = -1;\n\nNow we have finished this problem. ANSWER:\nV532048\n", "role": "assistant" } ]

[ "V281259" ]

[ { "content": "<context>\nassign V925867 = V520211 - 1. assign V810689 = V061037 - 1. assign V069054 = V827553 - 1. assign V622208 = V224783 + 1. assign V564330 = V464887 + 1. assign V553262 = V321841 - 1. assign V937075 = V539991 + 1. assign V676231 = V720264 - 1. assign V118066 = V395905. assign V658965 = V752277. assign V198598 = V765462 - 1. assign V769617 = V274922 + 1. assign V770922 = V849633 + 1. assign V122573 = V676231. assign V357344 = V922957 + 1. assign V622180 = V096904 + 1. assign V256879 = V810689 + 1. assign V849633 = V805824 + 1. assign V855996 = V908887 + 1. assign V605414 = V908887 + 1. assign V341615 = V274922 - 1. assign V683054 = V922957. assign V597329 = V128941 + 1. assign V503003 = V321841 + 1. assign V831845 = V752277 + 1. assign V759771 = V733928 + 1. assign V633276 = V270569 + 1. assign V964684 = V578905 - 1. assign V691252 = V896990. assign V025526 = V570708. assign V752277 = V733928 + 1. assign V799232 = V503003. assign V244118 = V786247 + 1. assign V788299 = V080459 - 1. assign V520211 = V605414 - 1. assign V636113 = V805824. assign V891998 = V520211 + 1. assign V128941 = V050620 - 1. assign V827553 = V176836. assign V896058 = V503310 - 1. assign V809114 = V298632 + 1. assign V821701 = V855996 + 1. assign V578860 = V503310 - 1. assign V891373 = V298632. assign V246101 = V274922 + 1. assign V309315 = V810689 - 1. assign V092847 = V162691 - 1. assign V055420 = V198598 - 1. assign V195952 = V679696 - 1. assign V343157 = V579888. assign V454928 = V579089. assign V852440 = V464887. assign V751552 = V691252 - 1. assign V786247 = V922957. assign V705401 = V832850 + 1. assign V543110 = V735887. assign V994289 = V693232 - 1. assign V274922 = V061037 - 1. assign V617669 = V503310. assign V066785 = V570708 + 1. assign V206744 = V617669 + 1. assign V687510 = V683054 + 1. assign V281259 = 6. assign V338127 = V723768 + 1. assign V570708 = V896058 + 1. assign V765462 = V922957 + 1. assign V622710 = V357344 - 1. assign V409038 = V570708 - 1. assign V693232 = V503310 + 1. assign V288228 = V605414. assign V048066 = V722552 + 1. assign V896990 = V809114. assign V307966 = V464887 - 1. assign V096904 = V043108 - 1. assign V161217 = V752277. assign V087839 = V574454 + 1. assign V061037 = V809114 + 1. assign V476548 = V956200 + 1. assign V328090 = V953979. assign V031826 = V137867 - 1. assign V459165 = V765462. assign V050620 = V908887 - 1. assign V733928 = V735887. assign V782346 = V639215. assign V224783 = V265306 - 1. assign V137867 = V578905 + 1. assign V542813 = V687874. assign V247818 = V935944 + 1. assign V752085 = V809114 + 1. assign V321841 = V247818 - 1. assign V735887 = V061037. assign V601383 = V224783 - 1. assign V321881 = V953979 - 1. assign V420915 = V757534 - 1. assign V862962 = V270569 + 1. assign V956200 = V896058 - 1. assign V498229 = V364744 - 1. assign V878445 = V751552. assign V579888 = V292385 - 1. assign V557928 = V198598. assign V288751 = V176836. assign V232635 = V705401. assign V865386 = V173907 - 1. assign V687874 = V395905. assign V080459 = V964684 + 1. assign V292385 = V298632. assign V173907 = V679696 - 1. assign V325366 = V446200 + 1. assign V194282 = V722552 - 1. assign V162691 = V499640 + 1. assign V395905 = V464887. assign V720264 = V799232 + 1. assign V052659 = V395905. assign V922957 = V935944 + 1. assign V752897 = V896990 - 1. assign V028158 = V307966. assign V265306 = V935944. assign V541982 = V752085. assign V526163 = V092847 - 1. assign V639215 = V693232. assign V723768 = V722552. assign V200363 = V799232 + 1. assign V579089 = V752085 - 1. assign V905956 = V454928 - 1. assign V410358 = V579089. assign V370711 = V579089 + 1. assign V935944 = V752085 + 1. assign V176836 = V679696. assign V623724 = V922957 - 1. assign V668080 = V579089 - 1. assign V065290 = V281259 - 1. assign V934421 = V162691 - 1. assign V298632 = V464887. assign V777300 = V956200 - 1. assign V190969 = V420915 + 1. assign V539991 = V809114 + 1. assign V757534 = V137867 + 1. assign V659523 = V161790 + 1. assign V707587 = V810689. assign V011951 = V809114 - 1. assign V420144 = V908887 + 1. assign V270569 = V805824. assign V805824 = V006498 + 1. assign V360279 = V298632 - 1. assign V637720 = V298632 + 1. assign V311532 = V831845 + 1. assign V499640 = V464887 + 1. assign V908887 = V499640 + 1. assign V545849 = V161217 + 1. assign V574454 = V964684 - 1. assign V651107 = V338127 + 1. assign V503310 = V499640 - 1. assign V979860 = V162691 - 1. assign V472744 = V922957. assign V722552 = V247818 - 1. assign V160767 = V503310. assign V043108 = V752085 + 1. assign V679696 = V733928 + 1. assign V135359 = V878445 + 1. assign V161790 = V270569 - 1. assign V446200 = V499640 + 1. assign V150604 = V720264. assign V729004 = V658965. assign V832850 = V953979 - 1. assign V006498 = V722552 - 1. assign V109283 = V752085. assign V734386 = V395905. assign V364744 = V683054. assign V953979 = V679696 + 1. assign V104086 = V934421 + 1. assign V472316 = V161790. assign V578905 = V908887.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V925867 = V520211 - 1. assign V810689 = V061037 - 1. assign V069054 = V827553 - 1. assign V622208 = V224783 + 1. assign V564330 = V464887 + 1. assign V553262 = V321841 - 1. assign V937075 = V539991 + 1. assign V676231 = V720264 - 1. assign V118066 = V395905. assign V658965 = V752277. assign V198598 = V765462 - 1. assign V769617 = V274922 + 1. assign V770922 = V849633 + 1. assign V122573 = V676231. assign V357344 = V922957 + 1. assign V622180 = V096904 + 1. assign V256879 = V810689 + 1. assign V849633 = V805824 + 1. assign V855996 = V908887 + 1. assign V605414 = V908887 + 1. assign V341615 = V274922 - 1. assign V683054 = V922957. assign V597329 = V128941 + 1. assign V503003 = V321841 + 1. assign V831845 = V752277 + 1. assign V759771 = V733928 + 1. assign V633276 = V270569 + 1. assign V964684 = V578905 - 1. assign V691252 = V896990. assign V025526 = V570708. assign V752277 = V733928 + 1. assign V799232 = V503003. assign V244118 = V786247 + 1. assign V788299 = V080459 - 1. assign V520211 = V605414 - 1. assign V636113 = V805824. assign V891998 = V520211 + 1. assign V128941 = V050620 - 1. assign V827553 = V176836. assign V896058 = V503310 - 1. assign V809114 = V298632 + 1. assign V821701 = V855996 + 1. assign V578860 = V503310 - 1. assign V891373 = V298632. assign V246101 = V274922 + 1. assign V309315 = V810689 - 1. assign V092847 = V162691 - 1. assign V055420 = V198598 - 1. assign V195952 = V679696 - 1. assign V343157 = V579888. assign V454928 = V579089. assign V852440 = V464887. assign V751552 = V691252 - 1. assign V786247 = V922957. assign V705401 = V832850 + 1. assign V543110 = V735887. assign V994289 = V693232 - 1. assign V274922 = V061037 - 1. assign V617669 = V503310. assign V066785 = V570708 + 1. assign V206744 = V617669 + 1. assign V687510 = V683054 + 1. assign V281259 = 6. assign V338127 = V723768 + 1. assign V570708 = V896058 + 1. assign V765462 = V922957 + 1. assign V622710 = V357344 - 1. assign V409038 = V570708 - 1. assign V693232 = V503310 + 1. assign V288228 = V605414. assign V048066 = V722552 + 1. assign V896990 = V809114. assign V307966 = V464887 - 1. assign V096904 = V043108 - 1. assign V161217 = V752277. assign V087839 = V574454 + 1. assign V061037 = V809114 + 1. assign V476548 = V956200 + 1. assign V328090 = V953979. assign V031826 = V137867 - 1. assign V459165 = V765462. assign V050620 = V908887 - 1. assign V733928 = V735887. assign V782346 = V639215. assign V224783 = V265306 - 1. assign V137867 = V578905 + 1. assign V542813 = V687874. assign V247818 = V935944 + 1. assign V752085 = V809114 + 1. assign V321841 = V247818 - 1. assign V735887 = V061037. assign V601383 = V224783 - 1. assign V321881 = V953979 - 1. assign V420915 = V757534 - 1. assign V862962 = V270569 + 1. assign V956200 = V896058 - 1. assign V498229 = V364744 - 1. assign V878445 = V751552. assign V579888 = V292385 - 1. assign V557928 = V198598. assign V288751 = V176836. assign V232635 = V705401. assign V865386 = V173907 - 1. assign V687874 = V395905. assign V080459 = V964684 + 1. assign V292385 = V298632. assign V173907 = V679696 - 1. assign V325366 = V446200 + 1. assign V194282 = V722552 - 1. assign V162691 = V499640 + 1. assign V395905 = V464887. assign V720264 = V799232 + 1. assign V052659 = V395905. assign V922957 = V935944 + 1. assign V752897 = V896990 - 1. assign V028158 = V307966. assign V265306 = V935944. assign V541982 = V752085. assign V526163 = V092847 - 1. assign V639215 = V693232. assign V723768 = V722552. assign V200363 = V799232 + 1. assign V579089 = V752085 - 1. assign V905956 = V454928 - 1. assign V410358 = V579089. assign V370711 = V579089 + 1. assign V935944 = V752085 + 1. assign V176836 = V679696. assign V623724 = V922957 - 1. assign V668080 = V579089 - 1. assign V065290 = V281259 - 1. assign V934421 = V162691 - 1. assign V298632 = V464887. assign V777300 = V956200 - 1. assign V190969 = V420915 + 1. assign V539991 = V809114 + 1. assign V757534 = V137867 + 1. assign V659523 = V161790 + 1. assign V707587 = V810689. assign V011951 = V809114 - 1. assign V420144 = V908887 + 1. assign V270569 = V805824. assign V805824 = V006498 + 1. assign V360279 = V298632 - 1. assign V637720 = V298632 + 1. assign V311532 = V831845 + 1. assign V499640 = V464887 + 1. assign V908887 = V499640 + 1. assign V545849 = V161217 + 1. assign V574454 = V964684 - 1. assign V651107 = V338127 + 1. assign V503310 = V499640 - 1. assign V979860 = V162691 - 1. assign V472744 = V922957. assign V722552 = V247818 - 1. assign V160767 = V503310. assign V043108 = V752085 + 1. assign V679696 = V733928 + 1. assign V135359 = V878445 + 1. assign V161790 = V270569 - 1. assign V446200 = V499640 + 1. assign V150604 = V720264. assign V729004 = V658965. assign V832850 = V953979 - 1. assign V006498 = V722552 - 1. assign V109283 = V752085. assign V734386 = V395905. assign V364744 = V683054. assign V953979 = V679696 + 1. assign V104086 = V934421 + 1. assign V472316 = V161790. assign V578905 = V908887.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV281259 = 6;\n\nFrom these direct assignment(s), we have: \nV065290 = V281259 - 1 = 6 - 1 =5;\nNo other variables can be derived from V065290;\nNo other variables can be derived from V281259;\n\nNow we have done all the calculations. Derived variables are:\nV281259 = 6;\nV065290 = 5;\n\nNow we have finished this problem. ANSWER:\nV281259\n", "role": "assistant" } ]

[ "V909759" ]

[ { "content": "<context>\nassign V312386 = 2. assign V313920 = V085258 + 1. assign V785095 = V227707 - 1. assign V208152 = V133372. assign V884182 = V543567 + 1. assign V623298 = V548354. assign V315901 = V815254 + 1. assign V094040 = V146825 - 1. assign V616815 = V313920 + 1. assign V203947 = V290687 - 1. assign V684209 = V146825 + 1. assign V543567 = V681818 - 1. assign V792263 = V788541. assign V636568 = V616815. assign V415014 = V899101 + 1. assign V403606 = V388809. assign V519039 = V101948 + 1. assign V398622 = V788541. assign V750473 = V772181 + 1. assign V352161 = V146825 - 1. assign V849031 = V313920 + 1. assign V349829 = V632922 - 1. assign V895009 = V119994 + 1. assign V206584 = V849031. assign V231573 = V753855. assign V815254 = V119994. assign V353056 = V255983. assign V239008 = V142664 + 1. assign V256267 = V815802 + 1. assign V024781 = V398622 + 1. assign V154045 = V911252 - 1. assign V306570 = V899101 - 1. assign V229158 = V543567. assign V839916 = V750473. assign V483836 = V220325. assign V540075 = V398925. assign V511452 = V743270 - 1. assign V779971 = V289431. assign V108407 = V567419 - 1. assign V918613 = V313920 + 1. assign V829506 = V410073. assign V565894 = V839916 - 1. assign V928419 = V701016 + 1. assign V031149 = V879991. assign V555771 = V918613 - 1. assign V085258 = V289431. assign V410073 = V633342 + 1. assign V431358 = V633342. assign V751027 = V315901 + 1. assign V480513 = V034818 - 1. assign V101018 = V289431 + 1. assign V774883 = V911252 + 1. assign V388809 = V362632 - 1. assign V001779 = V899101. assign V371241 = V849031. assign V101948 = V362632 + 1. assign V879991 = V362632. assign V588084 = V231573 - 1. assign V274408 = V119994. assign V389424 = V398925 - 1. assign V689603 = V543567 + 1. assign V788541 = V663020. assign V747525 = V981774. assign V503868 = V255983 + 1. assign V148024 = V094040 + 1. assign V567234 = V976647 + 1. assign V034818 = V315901 - 1. assign V067519 = V884182. assign V517673 = V410073 + 1. assign V785370 = V108407. assign V663020 = V362632 - 1. assign V186580 = V899101 - 1. assign V289431 = V193550. assign V592605 = V511452 - 1. assign V651861 = V753855 - 1. assign V748985 = V371241 + 1. assign V996924 = V543567 + 1. assign V410669 = V101018 + 1. assign V681818 = V193550. assign V547604 = V290687 + 1. assign V510261 = V681818. assign V725913 = V977524 - 1. assign V579641 = V542871. assign V567419 = V511452. assign V410969 = V220325 - 1. assign V863839 = V899101. assign V528321 = V147114. assign V069259 = V567419 - 1. assign V282970 = V785095. assign V255983 = V839916 + 1. assign V976647 = V415014 + 1. assign V701016 = V034818 - 1. assign V172426 = V806873. assign V220325 = V510261. assign V133372 = V313920 + 1. assign V203236 = V193550. assign V147114 = V362632 + 1. assign V542871 = V899401. assign V227707 = V119994 - 1. assign V412306 = V410073 + 1. assign V193305 = V133372 - 1. assign V555112 = V483836 + 1. assign V429362 = V413792 + 1. assign V267921 = V289431 + 1. assign V666920 = V590449 + 1. assign V884955 = V148024 - 1. assign V981774 = V543567 + 1. assign V413792 = V656958. assign V656958 = V220325 + 1. assign V322552 = V616815. assign V293557 = V067771 - 1. assign V839674 = V981774. assign V772181 = V636568. assign V669297 = V313920 + 1. assign V204662 = V839916 - 1. assign V398925 = V663020 + 1. assign V738992 = V648946 + 1. assign V875612 = V977524 + 1. assign V743270 = V663020. assign V548354 = V274408. assign V395076 = V772181 - 1. assign V055721 = V633342. assign V127932 = V839674 - 1. assign V142664 = V543567 + 1. assign V353454 = V510261 - 1. assign V512335 = V353454 + 1. assign V290687 = V681818 + 1. assign V965531 = V579641. assign V474323 = V193550 - 1. assign V149283 = V681818. assign V929764 = V512335 - 1. assign V911252 = V981774 + 1. assign V357080 = V146825 - 1. assign V815802 = V371241 - 1. assign V666699 = V256267 + 1. assign V119994 = V142664. assign V806873 = V750473 - 1. assign V362632 = V193550. assign V328637 = V512335 - 1. assign V779215 = V806873 - 1. assign V175326 = V289431 - 1. assign V202656 = V220325. assign V633342 = V362632 - 1. assign V254016 = V503868 + 1. assign V875228 = V616815 - 1. assign V175076 = V839674. assign V456289 = V154045 - 1. assign V182825 = V085258 - 1. assign V977524 = V410669. assign V717930 = V119994. assign V146825 = V911252. assign V753855 = V239008. assign V590449 = V895009. assign V867032 = V431358 - 1. assign V909759 = V312386 + 1. assign V174556 = V911252. assign V877061 = V174556 - 1. assign V061328 = V315901 - 1. assign V632922 = V282970. assign V263785 = V666699 + 1. assign V938284 = V410073 - 1. assign V899401 = V227707 + 1. assign V975736 = V616815 - 1. assign V067771 = V543567 - 1. assign V740363 = V788541. assign V316482 = V220325 - 1. assign V648946 = V239008. assign V817759 = V322552 - 1. assign V123672 = V738992. assign V899101 = V511452 - 1. assign V879860 = V976647 - 1. assign V700617 = V899401 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V312386 = 2. assign V313920 = V085258 + 1. assign V785095 = V227707 - 1. assign V208152 = V133372. assign V884182 = V543567 + 1. assign V623298 = V548354. assign V315901 = V815254 + 1. assign V094040 = V146825 - 1. assign V616815 = V313920 + 1. assign V203947 = V290687 - 1. assign V684209 = V146825 + 1. assign V543567 = V681818 - 1. assign V792263 = V788541. assign V636568 = V616815. assign V415014 = V899101 + 1. assign V403606 = V388809. assign V519039 = V101948 + 1. assign V398622 = V788541. assign V750473 = V772181 + 1. assign V352161 = V146825 - 1. assign V849031 = V313920 + 1. assign V349829 = V632922 - 1. assign V895009 = V119994 + 1. assign V206584 = V849031. assign V231573 = V753855. assign V815254 = V119994. assign V353056 = V255983. assign V239008 = V142664 + 1. assign V256267 = V815802 + 1. assign V024781 = V398622 + 1. assign V154045 = V911252 - 1. assign V306570 = V899101 - 1. assign V229158 = V543567. assign V839916 = V750473. assign V483836 = V220325. assign V540075 = V398925. assign V511452 = V743270 - 1. assign V779971 = V289431. assign V108407 = V567419 - 1. assign V918613 = V313920 + 1. assign V829506 = V410073. assign V565894 = V839916 - 1. assign V928419 = V701016 + 1. assign V031149 = V879991. assign V555771 = V918613 - 1. assign V085258 = V289431. assign V410073 = V633342 + 1. assign V431358 = V633342. assign V751027 = V315901 + 1. assign V480513 = V034818 - 1. assign V101018 = V289431 + 1. assign V774883 = V911252 + 1. assign V388809 = V362632 - 1. assign V001779 = V899101. assign V371241 = V849031. assign V101948 = V362632 + 1. assign V879991 = V362632. assign V588084 = V231573 - 1. assign V274408 = V119994. assign V389424 = V398925 - 1. assign V689603 = V543567 + 1. assign V788541 = V663020. assign V747525 = V981774. assign V503868 = V255983 + 1. assign V148024 = V094040 + 1. assign V567234 = V976647 + 1. assign V034818 = V315901 - 1. assign V067519 = V884182. assign V517673 = V410073 + 1. assign V785370 = V108407. assign V663020 = V362632 - 1. assign V186580 = V899101 - 1. assign V289431 = V193550. assign V592605 = V511452 - 1. assign V651861 = V753855 - 1. assign V748985 = V371241 + 1. assign V996924 = V543567 + 1. assign V410669 = V101018 + 1. assign V681818 = V193550. assign V547604 = V290687 + 1. assign V510261 = V681818. assign V725913 = V977524 - 1. assign V579641 = V542871. assign V567419 = V511452. assign V410969 = V220325 - 1. assign V863839 = V899101. assign V528321 = V147114. assign V069259 = V567419 - 1. assign V282970 = V785095. assign V255983 = V839916 + 1. assign V976647 = V415014 + 1. assign V701016 = V034818 - 1. assign V172426 = V806873. assign V220325 = V510261. assign V133372 = V313920 + 1. assign V203236 = V193550. assign V147114 = V362632 + 1. assign V542871 = V899401. assign V227707 = V119994 - 1. assign V412306 = V410073 + 1. assign V193305 = V133372 - 1. assign V555112 = V483836 + 1. assign V429362 = V413792 + 1. assign V267921 = V289431 + 1. assign V666920 = V590449 + 1. assign V884955 = V148024 - 1. assign V981774 = V543567 + 1. assign V413792 = V656958. assign V656958 = V220325 + 1. assign V322552 = V616815. assign V293557 = V067771 - 1. assign V839674 = V981774. assign V772181 = V636568. assign V669297 = V313920 + 1. assign V204662 = V839916 - 1. assign V398925 = V663020 + 1. assign V738992 = V648946 + 1. assign V875612 = V977524 + 1. assign V743270 = V663020. assign V548354 = V274408. assign V395076 = V772181 - 1. assign V055721 = V633342. assign V127932 = V839674 - 1. assign V142664 = V543567 + 1. assign V353454 = V510261 - 1. assign V512335 = V353454 + 1. assign V290687 = V681818 + 1. assign V965531 = V579641. assign V474323 = V193550 - 1. assign V149283 = V681818. assign V929764 = V512335 - 1. assign V911252 = V981774 + 1. assign V357080 = V146825 - 1. assign V815802 = V371241 - 1. assign V666699 = V256267 + 1. assign V119994 = V142664. assign V806873 = V750473 - 1. assign V362632 = V193550. assign V328637 = V512335 - 1. assign V779215 = V806873 - 1. assign V175326 = V289431 - 1. assign V202656 = V220325. assign V633342 = V362632 - 1. assign V254016 = V503868 + 1. assign V875228 = V616815 - 1. assign V175076 = V839674. assign V456289 = V154045 - 1. assign V182825 = V085258 - 1. assign V977524 = V410669. assign V717930 = V119994. assign V146825 = V911252. assign V753855 = V239008. assign V590449 = V895009. assign V867032 = V431358 - 1. assign V909759 = V312386 + 1. assign V174556 = V911252. assign V877061 = V174556 - 1. assign V061328 = V315901 - 1. assign V632922 = V282970. assign V263785 = V666699 + 1. assign V938284 = V410073 - 1. assign V899401 = V227707 + 1. assign V975736 = V616815 - 1. assign V067771 = V543567 - 1. assign V740363 = V788541. assign V316482 = V220325 - 1. assign V648946 = V239008. assign V817759 = V322552 - 1. assign V123672 = V738992. assign V899101 = V511452 - 1. assign V879860 = V976647 - 1. assign V700617 = V899401 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV312386 = 2;\n\nFrom these direct assignment(s), we have: \nV909759 = V312386 + 1 = 2 + 1 =3;\nNo other variables can be derived from V909759;\nNo other variables can be derived from V312386;\n\nNow we have done all the calculations. Derived variables are:\nV312386 = 2;\nV909759 = 3;\n\nNow we have finished this problem. ANSWER:\nV909759\n", "role": "assistant" } ]

[ "V851872", "V114750" ]

[ { "content": "<context>\nassign V941291 = V487686 - 1. assign V220893 = V735894 - 1. assign V451747 = V203761. assign V706306 = V370334 - 1. assign V563031 = V855945. assign V146238 = V721104. assign V661087 = V357226. assign V157776 = V136709. assign V804590 = V584343 + 1. assign V701463 = V855945 + 1. assign V057001 = V356013 - 1. assign V952030 = V322232 + 1. assign V923828 = V151235 + 1. assign V596639 = V768021. assign V304895 = V613930. assign V514382 = V357226 + 1. assign V967823 = V102448 + 1. assign V584343 = V169128 - 1. assign V428141 = V878408 + 1. assign V379470 = V979584 - 1. assign V182891 = V451747. assign V311910 = V084959. assign V197282 = V481245 + 1. assign V130869 = V826588 + 1. assign V826588 = V701463 - 1. assign V313557 = V275907 - 1. assign V799665 = V450207 + 1. assign V647401 = V424956. assign V146136 = V586035 - 1. assign V901715 = V322292 - 1. assign V255981 = V161046 - 1. assign V586035 = V151235. assign V424956 = V332004. assign V292067 = V563031. assign V097954 = V027237 - 1. assign V287385 = V591396 + 1. assign V857562 = V130869 - 1. assign V851444 = V637262. assign V633345 = V130869 + 1. assign V654291 = V857562 - 1. assign V161046 = V933086 - 1. assign V322292 = V826588 - 1. assign V466913 = V169128 - 1. assign V598870 = V447176 - 1. assign V922289 = V084959. assign V450207 = V906369. assign V040351 = V172578. assign V151235 = V084959. assign V520831 = V855945 + 1. assign V878408 = V826588 + 1. assign V251399 = V300080 + 1. assign V395252 = V647401 - 1. assign V742972 = V102448 - 1. assign V481245 = V175061 + 1. assign V026843 = V855945 + 1. assign V751624 = V317365 + 1. assign V882417 = V776885 - 1. assign V481881 = V466913 - 1. assign V299646 = V600586 + 1. assign V737153 = V855945. assign V292819 = V941291. assign V711979 = V804590. assign V406867 = V379470 + 1. assign V906369 = V099031 + 1. assign V357226 = V785645 - 1. assign V533408 = V451747 + 1. assign V447176 = V701463 - 1. assign V853605 = V200109 + 1. assign V402628 = V283034. assign V649808 = V424956. assign V102448 = V906369 + 1. assign V132577 = V596639 - 1. assign V616632 = V835445 - 1. assign V835445 = V130869 + 1. assign V663447 = V785645. assign V690883 = V356013 - 1. assign V237706 = V654291. assign V172578 = V313557 + 1. assign V723281 = V155609 - 1. assign V328326 = V130869 - 1. assign V317365 = V598870 - 1. assign V253006 = V283034 + 1. assign V227998 = V169128 - 1. assign V144558 = V857562 - 1. assign V169128 = V701463. assign V461158 = V533408. assign V918571 = V322292. assign V336166 = V151235. assign V637262 = V084959 + 1. assign V203761 = V857562. assign V867061 = V451747. assign V471168 = V826588 + 1. assign V299268 = V406867 + 1. assign V979584 = V172578 + 1. assign V933086 = V918571 - 1. assign V283034 = V130869 + 1. assign V591396 = V157776 - 1. assign V413202 = V596639 + 1. assign V776885 = V803610. assign V136709 = V467166. assign V924938 = V000380 + 1. assign V000380 = V084959 - 1. assign V813986 = V132906. assign V785645 = V027237 - 1. assign V332004 = V151235 + 1. assign V099031 = V169128 - 1. assign V130720 = V200109. assign V740544 = V471168 - 1. assign V763584 = V841188 + 1. assign V275014 = V146136 - 1. assign V613930 = V322232 - 1. assign V523082 = V169128. assign V773333 = V275907. assign V918469 = V029557 + 1. assign V607219 = V523082 + 1. assign V275907 = V084959 - 1. assign V585515 = V379470 - 1. assign V100737 = V580442 - 1. assign V322232 = V598870. assign V168165 = V332004 + 1. assign V341251 = V918571 - 1. assign V231915 = V130720. assign V021231 = V979584 - 1. assign V502360 = V918469 - 1. assign V861593 = V598870 + 1. assign V768021 = V580442 + 1. assign V721104 = V701463 - 1. assign V099190 = V027237 - 1. assign V886383 = V130869. assign V920150 = V203761 - 1. assign V257797 = V776885. assign V901306 = V979584. assign V175061 = V637262. assign V155609 = V922289 + 1. assign V027237 = V826588 + 1. assign V535497 = V379470 - 1. assign V487686 = V923828. assign V088327 = V021231. assign V200109 = V721104 - 1. assign V341757 = V157776 + 1. assign V846614 = V130869 + 1. assign V347610 = V146238 + 1. assign V841188 = V826588. assign V467166 = V598870 - 1. assign V370334 = V313557 + 1. assign V580442 = V701463 - 1. assign V237329 = V026843. assign V029557 = V026843 - 1. assign V356013 = V136709 + 1. assign V899920 = V151235 - 1. assign V300080 = V320632. assign V084959 = V447176 - 1. assign V302813 = V130869 + 1. assign V132906 = V922289 - 1. assign V872055 = V357226 + 1. assign V851872 = 0. assign V803610 = V428141. assign V600586 = V130869 - 1. assign V805251 = V533408. assign V114750 = V851872. assign V735894 = V740544. assign V074062 = V751624 + 1. assign V986586 = V591396 - 1. assign V684758 = V979584 - 1. assign V055009 = V523082 + 1. assign V526396 = V826588 + 1. assign V606935 = V151235. assign V396509 = V161046. assign V909256 = V146238 - 1. assign V838616 = V607219 + 1. assign V320632 = V878408 - 1. assign V103112 = V886383.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V941291 = V487686 - 1. assign V220893 = V735894 - 1. assign V451747 = V203761. assign V706306 = V370334 - 1. assign V563031 = V855945. assign V146238 = V721104. assign V661087 = V357226. assign V157776 = V136709. assign V804590 = V584343 + 1. assign V701463 = V855945 + 1. assign V057001 = V356013 - 1. assign V952030 = V322232 + 1. assign V923828 = V151235 + 1. assign V596639 = V768021. assign V304895 = V613930. assign V514382 = V357226 + 1. assign V967823 = V102448 + 1. assign V584343 = V169128 - 1. assign V428141 = V878408 + 1. assign V379470 = V979584 - 1. assign V182891 = V451747. assign V311910 = V084959. assign V197282 = V481245 + 1. assign V130869 = V826588 + 1. assign V826588 = V701463 - 1. assign V313557 = V275907 - 1. assign V799665 = V450207 + 1. assign V647401 = V424956. assign V146136 = V586035 - 1. assign V901715 = V322292 - 1. assign V255981 = V161046 - 1. assign V586035 = V151235. assign V424956 = V332004. assign V292067 = V563031. assign V097954 = V027237 - 1. assign V287385 = V591396 + 1. assign V857562 = V130869 - 1. assign V851444 = V637262. assign V633345 = V130869 + 1. assign V654291 = V857562 - 1. assign V161046 = V933086 - 1. assign V322292 = V826588 - 1. assign V466913 = V169128 - 1. assign V598870 = V447176 - 1. assign V922289 = V084959. assign V450207 = V906369. assign V040351 = V172578. assign V151235 = V084959. assign V520831 = V855945 + 1. assign V878408 = V826588 + 1. assign V251399 = V300080 + 1. assign V395252 = V647401 - 1. assign V742972 = V102448 - 1. assign V481245 = V175061 + 1. assign V026843 = V855945 + 1. assign V751624 = V317365 + 1. assign V882417 = V776885 - 1. assign V481881 = V466913 - 1. assign V299646 = V600586 + 1. assign V737153 = V855945. assign V292819 = V941291. assign V711979 = V804590. assign V406867 = V379470 + 1. assign V906369 = V099031 + 1. assign V357226 = V785645 - 1. assign V533408 = V451747 + 1. assign V447176 = V701463 - 1. assign V853605 = V200109 + 1. assign V402628 = V283034. assign V649808 = V424956. assign V102448 = V906369 + 1. assign V132577 = V596639 - 1. assign V616632 = V835445 - 1. assign V835445 = V130869 + 1. assign V663447 = V785645. assign V690883 = V356013 - 1. assign V237706 = V654291. assign V172578 = V313557 + 1. assign V723281 = V155609 - 1. assign V328326 = V130869 - 1. assign V317365 = V598870 - 1. assign V253006 = V283034 + 1. assign V227998 = V169128 - 1. assign V144558 = V857562 - 1. assign V169128 = V701463. assign V461158 = V533408. assign V918571 = V322292. assign V336166 = V151235. assign V637262 = V084959 + 1. assign V203761 = V857562. assign V867061 = V451747. assign V471168 = V826588 + 1. assign V299268 = V406867 + 1. assign V979584 = V172578 + 1. assign V933086 = V918571 - 1. assign V283034 = V130869 + 1. assign V591396 = V157776 - 1. assign V413202 = V596639 + 1. assign V776885 = V803610. assign V136709 = V467166. assign V924938 = V000380 + 1. assign V000380 = V084959 - 1. assign V813986 = V132906. assign V785645 = V027237 - 1. assign V332004 = V151235 + 1. assign V099031 = V169128 - 1. assign V130720 = V200109. assign V740544 = V471168 - 1. assign V763584 = V841188 + 1. assign V275014 = V146136 - 1. assign V613930 = V322232 - 1. assign V523082 = V169128. assign V773333 = V275907. assign V918469 = V029557 + 1. assign V607219 = V523082 + 1. assign V275907 = V084959 - 1. assign V585515 = V379470 - 1. assign V100737 = V580442 - 1. assign V322232 = V598870. assign V168165 = V332004 + 1. assign V341251 = V918571 - 1. assign V231915 = V130720. assign V021231 = V979584 - 1. assign V502360 = V918469 - 1. assign V861593 = V598870 + 1. assign V768021 = V580442 + 1. assign V721104 = V701463 - 1. assign V099190 = V027237 - 1. assign V886383 = V130869. assign V920150 = V203761 - 1. assign V257797 = V776885. assign V901306 = V979584. assign V175061 = V637262. assign V155609 = V922289 + 1. assign V027237 = V826588 + 1. assign V535497 = V379470 - 1. assign V487686 = V923828. assign V088327 = V021231. assign V200109 = V721104 - 1. assign V341757 = V157776 + 1. assign V846614 = V130869 + 1. assign V347610 = V146238 + 1. assign V841188 = V826588. assign V467166 = V598870 - 1. assign V370334 = V313557 + 1. assign V580442 = V701463 - 1. assign V237329 = V026843. assign V029557 = V026843 - 1. assign V356013 = V136709 + 1. assign V899920 = V151235 - 1. assign V300080 = V320632. assign V084959 = V447176 - 1. assign V302813 = V130869 + 1. assign V132906 = V922289 - 1. assign V872055 = V357226 + 1. assign V851872 = 0. assign V803610 = V428141. assign V600586 = V130869 - 1. assign V805251 = V533408. assign V114750 = V851872. assign V735894 = V740544. assign V074062 = V751624 + 1. assign V986586 = V591396 - 1. assign V684758 = V979584 - 1. assign V055009 = V523082 + 1. assign V526396 = V826588 + 1. assign V606935 = V151235. assign V396509 = V161046. assign V909256 = V146238 - 1. assign V838616 = V607219 + 1. assign V320632 = V878408 - 1. assign V103112 = V886383.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV851872 = 0;\n\nFrom these direct assignment(s), we have: \nV114750 = V851872 = 0;\nNo other variables can be derived from V114750;\nNo other variables can be derived from V851872;\n\nNow we have done all the calculations. Derived variables are:\nV851872 = 0;\nV114750 = 0;\n\nNow we have finished this problem. ANSWER:\nV851872, V114750\n", "role": "assistant" } ]

[ "V408529", "V243922" ]

[ { "content": "<context>\nassign V334705 = V706555. assign V665177 = V941749. assign V058461 = V197485 - 1. assign V451548 = V875133 - 1. assign V362983 = V941749 + 1. assign V873563 = V839931. assign V132439 = V300444. assign V301424 = V300444. assign V616411 = V348485. assign V404969 = V081508. assign V015464 = V628624 + 1. assign V605966 = V490601. assign V036047 = V300444. assign V103375 = V534279 + 1. assign V341290 = V197485. assign V982244 = V937146 + 1. assign V317176 = V490601. assign V986857 = V197485 + 1. assign V421320 = V014264 - 1. assign V032869 = V228185. assign V668536 = V418409 + 1. assign V905602 = V573697 - 1. assign V000916 = V921716 - 1. assign V354378 = V241551 - 1. assign V154236 = V656404 - 1. assign V473699 = V623486 - 1. assign V944953 = V550375. assign V228185 = V013998. assign V071387 = V700558 + 1. assign V490601 = V668536 + 1. assign V738172 = V534279. assign V525956 = V369257. assign V976681 = V300444 + 1. assign V197485 = V067889 - 1. assign V732608 = V198629 - 1. assign V694140 = V418409 - 1. assign V361685 = V370516. assign V282634 = V550375. assign V067889 = V850884. assign V255361 = V954361 - 1. assign V212043 = V361685 - 1. assign V241910 = V262633 - 1. assign V011595 = V642780 - 1. assign V839859 = V362983 + 1. assign V674869 = V341290. assign V939775 = V288031 + 1. assign V573697 = V011595 + 1. assign V241551 = V032869 - 1. assign V656558 = V051270 + 1. assign V875133 = V921716. assign V027188 = V573697 + 1. assign V632616 = V879784 - 1. assign V838004 = V154236 + 1. assign V429326 = V198877 + 1. assign V752133 = V879784 - 1. assign V267087 = V170964. assign V391120 = V642780. assign V921716 = V301424. assign V628624 = V197485 - 1. assign V840127 = V095903 + 1. assign V631996 = V429740 + 1. assign V839931 = V643576 + 1. assign V967518 = V404969. assign V355488 = V571982. assign V081508 = V198629. assign V488252 = V360300 - 1. assign V408529 = 10. assign V648827 = V921716. assign V439805 = V632916 + 1. assign V369257 = V362983 + 1. assign V971057 = V404969. assign V644379 = V839859 + 1. assign V656466 = V478645 + 1. assign V694392 = V404969 - 1. assign V282261 = V879784 - 1. assign V524851 = V668536 + 1. assign V656404 = V361685 + 1. assign V390530 = V369257. assign V953727 = V013998 - 1. assign V013998 = V404969. assign V198877 = V616411 + 1. assign V031877 = V628624 - 1. assign V908650 = V081508. assign V565510 = V300444. assign V744917 = V421320 + 1. assign V571982 = V315451. assign V952302 = V300444 - 1. assign V459112 = V643576. assign V693895 = V839931 + 1. assign V850884 = V404969 + 1. assign V937146 = V300444. assign V322029 = V616411. assign V418409 = V643576. assign V180831 = V459112 - 1. assign V301305 = V429326 - 1. assign V909857 = V300444 + 1. assign V913053 = V154236. assign V478645 = V081508 - 1. assign V266322 = V700558. assign V916244 = V954361. assign V419673 = V421320. assign V141039 = V180831. assign V243922 = V408529. assign V116172 = V409851 + 1. assign V212133 = V838004 - 1. assign V476203 = V154236 - 1. assign V452197 = V954361 - 1. assign V409851 = V228185. assign V095903 = V322029. assign V497495 = V665177. assign V460869 = V849320. assign V691567 = V849320 + 1. assign V262633 = V643576 + 1. assign V642780 = V276351. assign V205846 = V067889 - 1. assign V112701 = V394497 - 1. assign V661420 = V939775. assign V917305 = V267087. assign V954361 = V370516 + 1. assign V879784 = V451548 - 1. assign V429740 = V478645 + 1. assign V360300 = V700558. assign V926958 = V058461. assign V444889 = V941749. assign V550375 = V360300 - 1. assign V762546 = V390530 - 1. assign V573371 = V180831. assign V802029 = V971057 - 1. assign V348485 = V081508. assign V936507 = V643576 + 1. assign V863029 = V905602 - 1. assign V288031 = V170964. assign V941749 = V361685 - 1. assign V134920 = V850884. assign V394078 = V421320 - 1. assign V498724 = V317176 + 1. assign V623486 = V700558. assign V849320 = V360300 + 1. assign V198629 = V941749. assign V439129 = V875133. assign V230559 = V952302 + 1. assign V014444 = V266322. assign V051270 = V288031 + 1. assign V560319 = V565510 - 1. assign V329490 = V476203 + 1. assign V940319 = V488252 + 1. assign V734098 = V674869 + 1. assign V999787 = V391120. assign V764142 = V288031. assign V574616 = V361685 - 1. assign V014264 = V954361 - 1. assign V457075 = V656466 + 1. assign V456482 = V905602 - 1. assign V918057 = V230559 - 1. assign V534279 = V941749. assign V170964 = V300444 - 1. assign V177489 = V879784 + 1. assign V632916 = V011595. assign V633026 = V571982 + 1. assign V315451 = V361685. assign V700558 = V362983 + 1. assign V300444 = V643576 - 1. assign V276351 = V212043 - 1. assign V409588 = V369257 + 1. assign V394497 = V266322 - 1. assign V643576 = V941749. assign V132629 = V628624 + 1. assign V706555 = V921716. assign V610313 = V103375 + 1. assign V950608 = V198629. assign V539551 = V656466 + 1. assign V368473 = V605966 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V334705 = V706555. assign V665177 = V941749. assign V058461 = V197485 - 1. assign V451548 = V875133 - 1. assign V362983 = V941749 + 1. assign V873563 = V839931. assign V132439 = V300444. assign V301424 = V300444. assign V616411 = V348485. assign V404969 = V081508. assign V015464 = V628624 + 1. assign V605966 = V490601. assign V036047 = V300444. assign V103375 = V534279 + 1. assign V341290 = V197485. assign V982244 = V937146 + 1. assign V317176 = V490601. assign V986857 = V197485 + 1. assign V421320 = V014264 - 1. assign V032869 = V228185. assign V668536 = V418409 + 1. assign V905602 = V573697 - 1. assign V000916 = V921716 - 1. assign V354378 = V241551 - 1. assign V154236 = V656404 - 1. assign V473699 = V623486 - 1. assign V944953 = V550375. assign V228185 = V013998. assign V071387 = V700558 + 1. assign V490601 = V668536 + 1. assign V738172 = V534279. assign V525956 = V369257. assign V976681 = V300444 + 1. assign V197485 = V067889 - 1. assign V732608 = V198629 - 1. assign V694140 = V418409 - 1. assign V361685 = V370516. assign V282634 = V550375. assign V067889 = V850884. assign V255361 = V954361 - 1. assign V212043 = V361685 - 1. assign V241910 = V262633 - 1. assign V011595 = V642780 - 1. assign V839859 = V362983 + 1. assign V674869 = V341290. assign V939775 = V288031 + 1. assign V573697 = V011595 + 1. assign V241551 = V032869 - 1. assign V656558 = V051270 + 1. assign V875133 = V921716. assign V027188 = V573697 + 1. assign V632616 = V879784 - 1. assign V838004 = V154236 + 1. assign V429326 = V198877 + 1. assign V752133 = V879784 - 1. assign V267087 = V170964. assign V391120 = V642780. assign V921716 = V301424. assign V628624 = V197485 - 1. assign V840127 = V095903 + 1. assign V631996 = V429740 + 1. assign V839931 = V643576 + 1. assign V967518 = V404969. assign V355488 = V571982. assign V081508 = V198629. assign V488252 = V360300 - 1. assign V408529 = 10. assign V648827 = V921716. assign V439805 = V632916 + 1. assign V369257 = V362983 + 1. assign V971057 = V404969. assign V644379 = V839859 + 1. assign V656466 = V478645 + 1. assign V694392 = V404969 - 1. assign V282261 = V879784 - 1. assign V524851 = V668536 + 1. assign V656404 = V361685 + 1. assign V390530 = V369257. assign V953727 = V013998 - 1. assign V013998 = V404969. assign V198877 = V616411 + 1. assign V031877 = V628624 - 1. assign V908650 = V081508. assign V565510 = V300444. assign V744917 = V421320 + 1. assign V571982 = V315451. assign V952302 = V300444 - 1. assign V459112 = V643576. assign V693895 = V839931 + 1. assign V850884 = V404969 + 1. assign V937146 = V300444. assign V322029 = V616411. assign V418409 = V643576. assign V180831 = V459112 - 1. assign V301305 = V429326 - 1. assign V909857 = V300444 + 1. assign V913053 = V154236. assign V478645 = V081508 - 1. assign V266322 = V700558. assign V916244 = V954361. assign V419673 = V421320. assign V141039 = V180831. assign V243922 = V408529. assign V116172 = V409851 + 1. assign V212133 = V838004 - 1. assign V476203 = V154236 - 1. assign V452197 = V954361 - 1. assign V409851 = V228185. assign V095903 = V322029. assign V497495 = V665177. assign V460869 = V849320. assign V691567 = V849320 + 1. assign V262633 = V643576 + 1. assign V642780 = V276351. assign V205846 = V067889 - 1. assign V112701 = V394497 - 1. assign V661420 = V939775. assign V917305 = V267087. assign V954361 = V370516 + 1. assign V879784 = V451548 - 1. assign V429740 = V478645 + 1. assign V360300 = V700558. assign V926958 = V058461. assign V444889 = V941749. assign V550375 = V360300 - 1. assign V762546 = V390530 - 1. assign V573371 = V180831. assign V802029 = V971057 - 1. assign V348485 = V081508. assign V936507 = V643576 + 1. assign V863029 = V905602 - 1. assign V288031 = V170964. assign V941749 = V361685 - 1. assign V134920 = V850884. assign V394078 = V421320 - 1. assign V498724 = V317176 + 1. assign V623486 = V700558. assign V849320 = V360300 + 1. assign V198629 = V941749. assign V439129 = V875133. assign V230559 = V952302 + 1. assign V014444 = V266322. assign V051270 = V288031 + 1. assign V560319 = V565510 - 1. assign V329490 = V476203 + 1. assign V940319 = V488252 + 1. assign V734098 = V674869 + 1. assign V999787 = V391120. assign V764142 = V288031. assign V574616 = V361685 - 1. assign V014264 = V954361 - 1. assign V457075 = V656466 + 1. assign V456482 = V905602 - 1. assign V918057 = V230559 - 1. assign V534279 = V941749. assign V170964 = V300444 - 1. assign V177489 = V879784 + 1. assign V632916 = V011595. assign V633026 = V571982 + 1. assign V315451 = V361685. assign V700558 = V362983 + 1. assign V300444 = V643576 - 1. assign V276351 = V212043 - 1. assign V409588 = V369257 + 1. assign V394497 = V266322 - 1. assign V643576 = V941749. assign V132629 = V628624 + 1. assign V706555 = V921716. assign V610313 = V103375 + 1. assign V950608 = V198629. assign V539551 = V656466 + 1. assign V368473 = V605966 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV408529 = 10;\n\nFrom these direct assignment(s), we have: \nV243922 = V408529 = 10;\nNo other variables can be derived from V243922;\nNo other variables can be derived from V408529;\n\nNow we have done all the calculations. Derived variables are:\nV408529 = 10;\nV243922 = 10;\n\nNow we have finished this problem. ANSWER:\nV408529, V243922\n", "role": "assistant" } ]

[ "V603534" ]

[ { "content": "<context>\nassign V733508 = V240694 + 1. assign V311945 = V852939 + 1. assign V345161 = V675894 + 1. assign V385814 = V679396 - 1. assign V713137 = V455283 - 1. assign V207382 = V626669. assign V869187 = V422293. assign V938900 = V886162 - 1. assign V520598 = V970473 - 1. assign V544298 = V240694 - 1. assign V845833 = V900839. assign V415992 = V675894 - 1. assign V614681 = V966608 - 1. assign V869683 = V520598 + 1. assign V695756 = V441139. assign V603534 = V847936 + 1. assign V603574 = V551490 - 1. assign V404111 = V455283 - 1. assign V470664 = V930519 - 1. assign V933457 = V970473 - 1. assign V473860 = V888197 + 1. assign V131874 = V544298 + 1. assign V904147 = V016028. assign V765024 = V383603. assign V226779 = V480849 + 1. assign V854028 = V564746. assign V966608 = V127760 - 1. assign V900839 = V581449. assign V210035 = V078879. assign V822766 = V869187 - 1. assign V041228 = V016028 + 1. assign V325706 = V564746. assign V537149 = V443981. assign V932582 = V000811. assign V615091 = V750843 + 1. assign V836772 = V126318. assign V104072 = V253379 - 1. assign V506820 = V127760 + 1. assign V455283 = V869187. assign V395328 = V509981. assign V824229 = V003430. assign V195373 = V228318 + 1. assign V425014 = V579459. assign V297143 = V729979 + 1. assign V886162 = V620362. assign V583400 = V127760. assign V951065 = V210851 + 1. assign V764843 = V695756 - 1. assign V393494 = V048788 - 1. assign V385663 = V404111. assign V145450 = V626669 - 1. assign V896091 = V966608 + 1. assign V661409 = V938900 - 1. assign V422293 = V615736 + 1. assign V899439 = V976835 + 1. assign V489593 = V930519 - 1. assign V825453 = V544298. assign V766402 = V556194 - 1. assign V661328 = V455283 + 1. assign V557363 = V523926 + 1. assign V323856 = V780271 + 1. assign V228318 = V383603 + 1. assign V730484 = V615736 - 1. assign V570798 = V264541 - 1. assign V618543 = V999307. assign V626669 = V480849 + 1. assign V423306 = V523926 + 1. assign V416870 = V966608 + 1. assign V127760 = V016028 + 1. assign V847936 = 5. assign V076807 = V679396. assign V729979 = V078879 + 1. assign V520040 = V019478 + 1. assign V736233 = V297143 - 1. assign V579459 = V615736 + 1. assign V837184 = V383603 - 1. assign V683720 = V583400 - 1. assign V551490 = V509981. assign V311701 = V822766. assign V342552 = V758739 - 1. assign V758739 = V869586. assign V831119 = V395328 + 1. assign V093698 = V048788 + 1. assign V933353 = V642736 + 1. assign V383603 = V016028 + 1. assign V472976 = V486320 - 1. assign V527210 = V395328. assign V569037 = V003430 + 1. assign V431346 = V018528 - 1. assign V620059 = V765024 + 1. assign V804494 = V342552 - 1. assign V970473 = V078879 + 1. assign V869586 = V210035 - 1. assign V780271 = V615091 + 1. assign V351306 = V309007 - 1. assign V642736 = V592741 + 1. assign V409916 = V675894. assign V976835 = V583400. assign V885350 = V333542. assign V691736 = V496915. assign V225061 = V016028. assign V954245 = V869586 + 1. assign V240694 = V404111. assign V003430 = V976835. assign V351631 = V614681 + 1. assign V443981 = V509981 + 1. assign V375055 = V078879 + 1. assign V892823 = V564746 - 1. assign V264541 = V395328 + 1. assign V078879 = V480849. assign V353635 = V928508 + 1. assign V615736 = V620362. assign V903979 = V076807 + 1. assign V681082 = V036921 - 1. assign V058225 = V640341 + 1. assign V852939 = V058225. assign V750843 = V383603 - 1. assign V018528 = V695756 - 1. assign V509981 = V583400 + 1. assign V459045 = V509981 - 1. assign V579861 = V347511 - 1. assign V253379 = V904147. assign V036921 = V000811 - 1. assign V347511 = V675894. assign V671943 = V018528. assign V592741 = V078879 + 1. assign V999307 = V404111 + 1. assign V928508 = V620059 + 1. assign V397327 = V409916. assign V523914 = V928508 - 1. assign V393113 = V109086 - 1. assign V496915 = V283348. assign V043294 = V016028 - 1. assign V930519 = V854028 + 1. assign V564746 = V620362 + 1. assign V005864 = V592741 + 1. assign V160040 = V736233 + 1. assign V161873 = V620362 + 1. assign V019478 = V708591 + 1. assign V679396 = V228318. assign V961311 = V058225 - 1. assign V415816 = V603574. assign V556194 = V395328 + 1. assign V283348 = V078879 + 1. assign V640341 = V228318 - 1. assign V333542 = V615736. assign V126318 = V592741 + 1. assign V679066 = V036921 - 1. assign V393581 = V581449 - 1. assign V480849 = V043294 - 1. assign V048788 = V869187. assign V000811 = V443981. assign V496455 = V966608 - 1. assign V581449 = V592741. assign V620362 = V043294. assign V178567 = V954245 - 1. assign V210851 = V385814. assign V441139 = V480849 + 1. assign V523926 = V899439 - 1. assign V137775 = V127760. assign V600250 = V885350. assign V708591 = V970473 - 1. assign V576878 = V681082 + 1. assign V720745 = V253379 + 1. assign V888197 = V675894 + 1. assign V109086 = V583400 - 1. assign V486320 = V041228 + 1. assign V126023 = V496455 + 1. assign V861402 = V729979 + 1. assign V309007 = V869586 + 1. assign V675894 = V904147 + 1. assign V286590 = V016028 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V733508 = V240694 + 1. assign V311945 = V852939 + 1. assign V345161 = V675894 + 1. assign V385814 = V679396 - 1. assign V713137 = V455283 - 1. assign V207382 = V626669. assign V869187 = V422293. assign V938900 = V886162 - 1. assign V520598 = V970473 - 1. assign V544298 = V240694 - 1. assign V845833 = V900839. assign V415992 = V675894 - 1. assign V614681 = V966608 - 1. assign V869683 = V520598 + 1. assign V695756 = V441139. assign V603534 = V847936 + 1. assign V603574 = V551490 - 1. assign V404111 = V455283 - 1. assign V470664 = V930519 - 1. assign V933457 = V970473 - 1. assign V473860 = V888197 + 1. assign V131874 = V544298 + 1. assign V904147 = V016028. assign V765024 = V383603. assign V226779 = V480849 + 1. assign V854028 = V564746. assign V966608 = V127760 - 1. assign V900839 = V581449. assign V210035 = V078879. assign V822766 = V869187 - 1. assign V041228 = V016028 + 1. assign V325706 = V564746. assign V537149 = V443981. assign V932582 = V000811. assign V615091 = V750843 + 1. assign V836772 = V126318. assign V104072 = V253379 - 1. assign V506820 = V127760 + 1. assign V455283 = V869187. assign V395328 = V509981. assign V824229 = V003430. assign V195373 = V228318 + 1. assign V425014 = V579459. assign V297143 = V729979 + 1. assign V886162 = V620362. assign V583400 = V127760. assign V951065 = V210851 + 1. assign V764843 = V695756 - 1. assign V393494 = V048788 - 1. assign V385663 = V404111. assign V145450 = V626669 - 1. assign V896091 = V966608 + 1. assign V661409 = V938900 - 1. assign V422293 = V615736 + 1. assign V899439 = V976835 + 1. assign V489593 = V930519 - 1. assign V825453 = V544298. assign V766402 = V556194 - 1. assign V661328 = V455283 + 1. assign V557363 = V523926 + 1. assign V323856 = V780271 + 1. assign V228318 = V383603 + 1. assign V730484 = V615736 - 1. assign V570798 = V264541 - 1. assign V618543 = V999307. assign V626669 = V480849 + 1. assign V423306 = V523926 + 1. assign V416870 = V966608 + 1. assign V127760 = V016028 + 1. assign V847936 = 5. assign V076807 = V679396. assign V729979 = V078879 + 1. assign V520040 = V019478 + 1. assign V736233 = V297143 - 1. assign V579459 = V615736 + 1. assign V837184 = V383603 - 1. assign V683720 = V583400 - 1. assign V551490 = V509981. assign V311701 = V822766. assign V342552 = V758739 - 1. assign V758739 = V869586. assign V831119 = V395328 + 1. assign V093698 = V048788 + 1. assign V933353 = V642736 + 1. assign V383603 = V016028 + 1. assign V472976 = V486320 - 1. assign V527210 = V395328. assign V569037 = V003430 + 1. assign V431346 = V018528 - 1. assign V620059 = V765024 + 1. assign V804494 = V342552 - 1. assign V970473 = V078879 + 1. assign V869586 = V210035 - 1. assign V780271 = V615091 + 1. assign V351306 = V309007 - 1. assign V642736 = V592741 + 1. assign V409916 = V675894. assign V976835 = V583400. assign V885350 = V333542. assign V691736 = V496915. assign V225061 = V016028. assign V954245 = V869586 + 1. assign V240694 = V404111. assign V003430 = V976835. assign V351631 = V614681 + 1. assign V443981 = V509981 + 1. assign V375055 = V078879 + 1. assign V892823 = V564746 - 1. assign V264541 = V395328 + 1. assign V078879 = V480849. assign V353635 = V928508 + 1. assign V615736 = V620362. assign V903979 = V076807 + 1. assign V681082 = V036921 - 1. assign V058225 = V640341 + 1. assign V852939 = V058225. assign V750843 = V383603 - 1. assign V018528 = V695756 - 1. assign V509981 = V583400 + 1. assign V459045 = V509981 - 1. assign V579861 = V347511 - 1. assign V253379 = V904147. assign V036921 = V000811 - 1. assign V347511 = V675894. assign V671943 = V018528. assign V592741 = V078879 + 1. assign V999307 = V404111 + 1. assign V928508 = V620059 + 1. assign V397327 = V409916. assign V523914 = V928508 - 1. assign V393113 = V109086 - 1. assign V496915 = V283348. assign V043294 = V016028 - 1. assign V930519 = V854028 + 1. assign V564746 = V620362 + 1. assign V005864 = V592741 + 1. assign V160040 = V736233 + 1. assign V161873 = V620362 + 1. assign V019478 = V708591 + 1. assign V679396 = V228318. assign V961311 = V058225 - 1. assign V415816 = V603574. assign V556194 = V395328 + 1. assign V283348 = V078879 + 1. assign V640341 = V228318 - 1. assign V333542 = V615736. assign V126318 = V592741 + 1. assign V679066 = V036921 - 1. assign V393581 = V581449 - 1. assign V480849 = V043294 - 1. assign V048788 = V869187. assign V000811 = V443981. assign V496455 = V966608 - 1. assign V581449 = V592741. assign V620362 = V043294. assign V178567 = V954245 - 1. assign V210851 = V385814. assign V441139 = V480849 + 1. assign V523926 = V899439 - 1. assign V137775 = V127760. assign V600250 = V885350. assign V708591 = V970473 - 1. assign V576878 = V681082 + 1. assign V720745 = V253379 + 1. assign V888197 = V675894 + 1. assign V109086 = V583400 - 1. assign V486320 = V041228 + 1. assign V126023 = V496455 + 1. assign V861402 = V729979 + 1. assign V309007 = V869586 + 1. assign V675894 = V904147 + 1. assign V286590 = V016028 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV847936 = 5;\n\nFrom these direct assignment(s), we have: \nV603534 = V847936 + 1 = 5 + 1 =6;\nNo other variables can be derived from V603534;\nNo other variables can be derived from V847936;\n\nNow we have done all the calculations. Derived variables are:\nV847936 = 5;\nV603534 = 6;\n\nNow we have finished this problem. ANSWER:\nV603534\n", "role": "assistant" } ]

[ "V033122", "V220206" ]

[ { "content": "<context>\nassign V437543 = V697000. assign V736003 = V408568 + 1. assign V060472 = V718968 + 1. assign V521315 = V021924. assign V453703 = V469836 + 1. assign V501813 = V161685 - 1. assign V868386 = V618944 - 1. assign V587450 = V032783. assign V487203 = V541873. assign V244233 = V447439 + 1. assign V193454 = V432586. assign V127149 = V777702 - 1. assign V183579 = V308227. assign V998068 = V760504. assign V042347 = V649344. assign V544707 = V697000 + 1. assign V618944 = V487203 - 1. assign V916700 = V482789. assign V422924 = V127149 - 1. assign V344007 = V484539 + 1. assign V069949 = V916700 - 1. assign V700641 = V469836 - 1. assign V822919 = V923870 - 1. assign V729425 = V782980 - 1. assign V097399 = V618944 + 1. assign V065724 = V819714 - 1. assign V447439 = V270993. assign V002058 = V076973 + 1. assign V251868 = V020020. assign V832710 = V069949. assign V076973 = V454437 - 1. assign V463564 = V161685 + 1. assign V951099 = V649344 + 1. assign V014432 = V267287 - 1. assign V456057 = V453703. assign V782296 = V652363. assign V076918 = V018003 + 1. assign V968389 = V765362 - 1. assign V302388 = V098234 + 1. assign V585236 = V097614. assign V944921 = V120248 - 1. assign V810886 = V240338 - 1. assign V615951 = V819714. assign V180774 = V649344. assign V538716 = V393760 + 1. assign V020020 = V916700 - 1. assign V824775 = V020020. assign V723211 = V127149 - 1. assign V554853 = V586134 - 1. assign V652363 = V154380. assign V606835 = V484539 + 1. assign V097614 = V454437 - 1. assign V865721 = V182419 + 1. assign V827752 = V404798 - 1. assign V586134 = V173868 + 1. assign V822171 = V200121 - 1. assign V934856 = V541873 - 1. assign V606259 = V810886. assign V677979 = V760504 - 1. assign V586057 = V184126. assign V989074 = V308227 - 1. assign V415546 = V706931 - 1. assign V269485 = V182419 + 1. assign V541873 = V308227. assign V059879 = V649344 - 1. assign V120248 = V182419 - 1. assign V047781 = V137946. assign V966481 = V193454. assign V940257 = V373127 - 1. assign V308227 = V697000 - 1. assign V239552 = V200121. assign V576437 = V618944 - 1. assign V990977 = V393760 - 1. assign V760504 = V097614 - 1. assign V470283 = V361976 - 1. assign V080748 = V729425. assign V264023 = V482789 - 1. assign V074772 = V760504 - 1. assign V660364 = V822919 + 1. assign V118176 = V541873 - 1. assign V482789 = V652363. assign V123110 = V485651 + 1. assign V520199 = V714520. assign V416071 = V482789 + 1. assign V173868 = V998068 + 1. assign V408568 = V453703. assign V522840 = V308227 + 1. assign V856672 = V606835. assign V942387 = V469836 - 1. assign V184126 = V576437 + 1. assign V200121 = V865721. assign V747396 = V264023 - 1. assign V129834 = V456057 - 1. assign V424628 = V827752 - 1. assign V373127 = V361976 + 1. assign V051288 = V267287 + 1. assign V399077 = V606835 + 1. assign V269531 = V934856 + 1. assign V074756 = V865721 + 1. assign V931071 = V736047 + 1. assign V006298 = V127149 - 1. assign V485651 = V270993 - 1. assign V706931 = V032783 - 1. assign V016963 = V814075 + 1. assign V116573 = V760504. assign V176454 = V408568. assign V240338 = V618944 + 1. assign V220206 = V033122. assign V155108 = V485651. assign V395144 = V161685 - 1. assign V272743 = V587450 + 1. assign V182419 = V097614 - 1. assign V676759 = V116573 + 1. assign V923870 = V961054 + 1. assign V983141 = V522840 + 1. assign V125308 = V161685. assign V712093 = V931071 - 1. assign V397569 = V777702 + 1. assign V550818 = V736003 + 1. assign V704587 = V714520 + 1. assign V649344 = V697000. assign V161685 = V127149 + 1. assign V098234 = V127149 + 1. assign V143152 = V453703. assign V307879 = V782296 - 1. assign V765362 = V777702 + 1. assign V404798 = V649344. assign V529349 = V683680 + 1. assign V484539 = V934856 - 1. assign V021924 = V373127 - 1. assign V154380 = V308227. assign V996553 = V034788. assign V897337 = V269531 - 1. assign V481316 = V116573 - 1. assign V696358 = V060472 + 1. assign V591141 = V404798 - 1. assign V270993 = V454437 - 1. assign V743695 = V484539. assign V718968 = V482789 + 1. assign V469836 = V182419 - 1. assign V089919 = V487203 - 1. assign V454437 = V697000. assign V819714 = V487203 - 1. assign V018003 = V469836 + 1. assign V568712 = V585236 + 1. assign V714520 = V018003 + 1. assign V614924 = V344007. assign V289985 = V127149 + 1. assign V937083 = V437543. assign V516243 = V127149 - 1. assign V961054 = V154380 - 1. assign V361976 = V437543 - 1. assign V079828 = V416071 + 1. assign V736047 = V697000 + 1. assign V683680 = V677979. assign V432586 = V154380. assign V222199 = V487203 - 1. assign V782980 = V469836 + 1. assign V297161 = V270993 - 1. assign V393760 = V137946 - 1. assign V777702 = V760504. assign V034788 = V180774 - 1. assign V301393 = V059879 - 1. assign V814075 = V760504 + 1. assign V875107 = V404798 + 1. assign V267287 = V240338. assign V230922 = V998068 + 1. assign V032783 = V865721 - 1. assign V033122 = 8. assign V137946 = V183579 - 1. assign V600587 = V097614. assign V641678 = V240338.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V437543 = V697000. assign V736003 = V408568 + 1. assign V060472 = V718968 + 1. assign V521315 = V021924. assign V453703 = V469836 + 1. assign V501813 = V161685 - 1. assign V868386 = V618944 - 1. assign V587450 = V032783. assign V487203 = V541873. assign V244233 = V447439 + 1. assign V193454 = V432586. assign V127149 = V777702 - 1. assign V183579 = V308227. assign V998068 = V760504. assign V042347 = V649344. assign V544707 = V697000 + 1. assign V618944 = V487203 - 1. assign V916700 = V482789. assign V422924 = V127149 - 1. assign V344007 = V484539 + 1. assign V069949 = V916700 - 1. assign V700641 = V469836 - 1. assign V822919 = V923870 - 1. assign V729425 = V782980 - 1. assign V097399 = V618944 + 1. assign V065724 = V819714 - 1. assign V447439 = V270993. assign V002058 = V076973 + 1. assign V251868 = V020020. assign V832710 = V069949. assign V076973 = V454437 - 1. assign V463564 = V161685 + 1. assign V951099 = V649344 + 1. assign V014432 = V267287 - 1. assign V456057 = V453703. assign V782296 = V652363. assign V076918 = V018003 + 1. assign V968389 = V765362 - 1. assign V302388 = V098234 + 1. assign V585236 = V097614. assign V944921 = V120248 - 1. assign V810886 = V240338 - 1. assign V615951 = V819714. assign V180774 = V649344. assign V538716 = V393760 + 1. assign V020020 = V916700 - 1. assign V824775 = V020020. assign V723211 = V127149 - 1. assign V554853 = V586134 - 1. assign V652363 = V154380. assign V606835 = V484539 + 1. assign V097614 = V454437 - 1. assign V865721 = V182419 + 1. assign V827752 = V404798 - 1. assign V586134 = V173868 + 1. assign V822171 = V200121 - 1. assign V934856 = V541873 - 1. assign V606259 = V810886. assign V677979 = V760504 - 1. assign V586057 = V184126. assign V989074 = V308227 - 1. assign V415546 = V706931 - 1. assign V269485 = V182419 + 1. assign V541873 = V308227. assign V059879 = V649344 - 1. assign V120248 = V182419 - 1. assign V047781 = V137946. assign V966481 = V193454. assign V940257 = V373127 - 1. assign V308227 = V697000 - 1. assign V239552 = V200121. assign V576437 = V618944 - 1. assign V990977 = V393760 - 1. assign V760504 = V097614 - 1. assign V470283 = V361976 - 1. assign V080748 = V729425. assign V264023 = V482789 - 1. assign V074772 = V760504 - 1. assign V660364 = V822919 + 1. assign V118176 = V541873 - 1. assign V482789 = V652363. assign V123110 = V485651 + 1. assign V520199 = V714520. assign V416071 = V482789 + 1. assign V173868 = V998068 + 1. assign V408568 = V453703. assign V522840 = V308227 + 1. assign V856672 = V606835. assign V942387 = V469836 - 1. assign V184126 = V576437 + 1. assign V200121 = V865721. assign V747396 = V264023 - 1. assign V129834 = V456057 - 1. assign V424628 = V827752 - 1. assign V373127 = V361976 + 1. assign V051288 = V267287 + 1. assign V399077 = V606835 + 1. assign V269531 = V934856 + 1. assign V074756 = V865721 + 1. assign V931071 = V736047 + 1. assign V006298 = V127149 - 1. assign V485651 = V270993 - 1. assign V706931 = V032783 - 1. assign V016963 = V814075 + 1. assign V116573 = V760504. assign V176454 = V408568. assign V240338 = V618944 + 1. assign V220206 = V033122. assign V155108 = V485651. assign V395144 = V161685 - 1. assign V272743 = V587450 + 1. assign V182419 = V097614 - 1. assign V676759 = V116573 + 1. assign V923870 = V961054 + 1. assign V983141 = V522840 + 1. assign V125308 = V161685. assign V712093 = V931071 - 1. assign V397569 = V777702 + 1. assign V550818 = V736003 + 1. assign V704587 = V714520 + 1. assign V649344 = V697000. assign V161685 = V127149 + 1. assign V098234 = V127149 + 1. assign V143152 = V453703. assign V307879 = V782296 - 1. assign V765362 = V777702 + 1. assign V404798 = V649344. assign V529349 = V683680 + 1. assign V484539 = V934856 - 1. assign V021924 = V373127 - 1. assign V154380 = V308227. assign V996553 = V034788. assign V897337 = V269531 - 1. assign V481316 = V116573 - 1. assign V696358 = V060472 + 1. assign V591141 = V404798 - 1. assign V270993 = V454437 - 1. assign V743695 = V484539. assign V718968 = V482789 + 1. assign V469836 = V182419 - 1. assign V089919 = V487203 - 1. assign V454437 = V697000. assign V819714 = V487203 - 1. assign V018003 = V469836 + 1. assign V568712 = V585236 + 1. assign V714520 = V018003 + 1. assign V614924 = V344007. assign V289985 = V127149 + 1. assign V937083 = V437543. assign V516243 = V127149 - 1. assign V961054 = V154380 - 1. assign V361976 = V437543 - 1. assign V079828 = V416071 + 1. assign V736047 = V697000 + 1. assign V683680 = V677979. assign V432586 = V154380. assign V222199 = V487203 - 1. assign V782980 = V469836 + 1. assign V297161 = V270993 - 1. assign V393760 = V137946 - 1. assign V777702 = V760504. assign V034788 = V180774 - 1. assign V301393 = V059879 - 1. assign V814075 = V760504 + 1. assign V875107 = V404798 + 1. assign V267287 = V240338. assign V230922 = V998068 + 1. assign V032783 = V865721 - 1. assign V033122 = 8. assign V137946 = V183579 - 1. assign V600587 = V097614. assign V641678 = V240338.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV033122 = 8;\n\nFrom these direct assignment(s), we have: \nV220206 = V033122 = 8;\nNo other variables can be derived from V220206;\nNo other variables can be derived from V033122;\n\nNow we have done all the calculations. Derived variables are:\nV033122 = 8;\nV220206 = 8;\n\nNow we have finished this problem. ANSWER:\nV033122, V220206\n", "role": "assistant" } ]

[ "V873240" ]

[ { "content": "<context>\nassign V788814 = V522595 + 1. assign V274165 = V562144 + 1. assign V541972 = V429945 - 1. assign V194151 = V830865. assign V817006 = V950674 - 1. assign V843420 = V676519 - 1. assign V066399 = V513184 - 1. assign V949001 = V811839 + 1. assign V385118 = V650526. assign V432934 = V591326. assign V278641 = V172979 + 1. assign V279188 = V558221 + 1. assign V302737 = V716409 + 1. assign V540731 = V716409. assign V691781 = V979518. assign V599338 = V956482. assign V226194 = V194556. assign V859118 = V944022. assign V358821 = V189967 + 1. assign V522595 = V970794. assign V716933 = V879598 + 1. assign V828609 = V556546 - 1. assign V811839 = V859118 - 1. assign V956482 = V556546 + 1. assign V570619 = V504753 - 1. assign V222601 = V540731 - 1. assign V873240 = V306978 + 1. assign V830865 = V399929 - 1. assign V561857 = V112158. assign V042864 = V974266 - 1. assign V782630 = V018082 - 1. assign V313706 = V018082. assign V385757 = V172419. assign V100230 = V842778. assign V721067 = V925833 - 1. assign V547569 = V671052 + 1. assign V970794 = V944022. assign V760895 = V991385 - 1. assign V707424 = V643506 - 1. assign V257646 = V049626 + 1. assign V842778 = V949001 + 1. assign V564152 = V830865 + 1. assign V716409 = V893771 - 1. assign V223820 = V558221 + 1. assign V020746 = V279188 - 1. assign V979518 = V721067 + 1. assign V410784 = V446106. assign V474573 = V522595 + 1. assign V855614 = V035853 + 1. assign V321850 = V249979 - 1. assign V816257 = V100230 - 1. assign V829296 = V732314 + 1. assign V576105 = V956482 + 1. assign V799214 = V540731. assign V249979 = V933862 + 1. assign V172419 = V172979 - 1. assign V446106 = V018082 + 1. assign V758193 = V278641 + 1. assign V812246 = V464475 - 1. assign V290957 = V811839 - 1. assign V289000 = V782630 - 1. assign V511361 = V337594. assign V937545 = V040275. assign V414549 = V178734. assign V547900 = V313706 - 1. assign V043761 = V208113 + 1. assign V920798 = V504753. assign V845768 = V263574 + 1. assign V804021 = V782630. assign V652771 = V357285 + 1. assign V893771 = V562144 - 1. assign V081635 = V306411. assign V513184 = V018082. assign V065973 = V851199. assign V255042 = V653415 + 1. assign V337594 = V851199. assign V194556 = V513184 + 1. assign V013349 = V547900 + 1. assign V974266 = V811839 + 1. assign V841678 = V716933 + 1. assign V341134 = V290957 + 1. assign V711866 = V522595 - 1. assign V495019 = V405654 + 1. assign V591326 = V529979 - 1. assign V172979 = V643506 - 1. assign V260519 = V758193 - 1. assign V068693 = V558221 - 1. assign V676519 = V817006 + 1. assign V405654 = V859118. assign V432959 = V828609 - 1. assign V933862 = V991385 - 1. assign V991385 = V956482 - 1. assign V504753 = V811839 - 1. assign V040275 = V591326. assign V944022 = V851199. assign V022647 = V842778 + 1. assign V950674 = V018082 + 1. assign V112158 = V828609 - 1. assign V594976 = V321850 + 1. assign V666676 = V594750. assign V162515 = V313706. assign V306978 = 4. assign V096072 = V194556 + 1. assign V021093 = V576105. assign V357285 = V513184 - 1. assign V879598 = V944022. assign V671052 = V950674. assign V558221 = V691781 + 1. assign V404139 = V933862 + 1. assign V944143 = V851199. assign V607015 = V956482 + 1. assign V861837 = V021093 - 1. assign V410609 = V528505 + 1. assign V281067 = V614498. assign V925833 = V851199. assign V528505 = V855614. assign V869955 = V363590. assign V263574 = V513184. assign V325902 = V711866. assign V594750 = V357285 + 1. assign V456792 = V429945 - 1. assign V989796 = V263574. assign V643506 = V513184 - 1. assign V653415 = V172979 - 1. assign V208113 = V576105 - 1. assign V035853 = V410784. assign V921991 = V649428 - 1. assign V505426 = V816257. assign V806873 = V081635 + 1. assign V498154 = V363590 + 1. assign V429945 = V643506 + 1. assign V562144 = V851199. assign V018082 = V851199 + 1. assign V649428 = V035853 + 1. assign V692880 = V721067 + 1. assign V880252 = V018082 + 1. assign V399929 = V547900. assign V529979 = V410784 + 1. assign V699880 = V172419 - 1. assign V581490 = V439962 - 1. assign V588814 = V716409 - 1. assign V981840 = V851199. assign V732314 = V893771. assign V847929 = V018082 - 1. assign V363590 = V576105 - 1. assign V300828 = V841678. assign V330221 = V666676 + 1. assign V117134 = V556546 + 1. assign V049626 = V893771 + 1. assign V286525 = V991385. assign V321575 = V859118 - 1. assign V383464 = V100230. assign V280092 = V716409. assign V848036 = V859118. assign V178734 = V540731 - 1. assign V955269 = V974266 - 1. assign V439962 = V263574 - 1. assign V576894 = V363655. assign V135516 = V649428 + 1. assign V301948 = V417012 + 1. assign V614498 = V189967 + 1. assign V642267 = V944022 + 1. assign V650526 = V439962 - 1. assign V306411 = V410784 + 1. assign V417012 = V970794 + 1. assign V486398 = V991385 + 1. assign V751292 = V399929 - 1. assign V363655 = V970794. assign V975942 = V096072 - 1. assign V464475 = V652771 - 1. assign V556546 = V851199 - 1. assign V189967 = V018082.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V788814 = V522595 + 1. assign V274165 = V562144 + 1. assign V541972 = V429945 - 1. assign V194151 = V830865. assign V817006 = V950674 - 1. assign V843420 = V676519 - 1. assign V066399 = V513184 - 1. assign V949001 = V811839 + 1. assign V385118 = V650526. assign V432934 = V591326. assign V278641 = V172979 + 1. assign V279188 = V558221 + 1. assign V302737 = V716409 + 1. assign V540731 = V716409. assign V691781 = V979518. assign V599338 = V956482. assign V226194 = V194556. assign V859118 = V944022. assign V358821 = V189967 + 1. assign V522595 = V970794. assign V716933 = V879598 + 1. assign V828609 = V556546 - 1. assign V811839 = V859118 - 1. assign V956482 = V556546 + 1. assign V570619 = V504753 - 1. assign V222601 = V540731 - 1. assign V873240 = V306978 + 1. assign V830865 = V399929 - 1. assign V561857 = V112158. assign V042864 = V974266 - 1. assign V782630 = V018082 - 1. assign V313706 = V018082. assign V385757 = V172419. assign V100230 = V842778. assign V721067 = V925833 - 1. assign V547569 = V671052 + 1. assign V970794 = V944022. assign V760895 = V991385 - 1. assign V707424 = V643506 - 1. assign V257646 = V049626 + 1. assign V842778 = V949001 + 1. assign V564152 = V830865 + 1. assign V716409 = V893771 - 1. assign V223820 = V558221 + 1. assign V020746 = V279188 - 1. assign V979518 = V721067 + 1. assign V410784 = V446106. assign V474573 = V522595 + 1. assign V855614 = V035853 + 1. assign V321850 = V249979 - 1. assign V816257 = V100230 - 1. assign V829296 = V732314 + 1. assign V576105 = V956482 + 1. assign V799214 = V540731. assign V249979 = V933862 + 1. assign V172419 = V172979 - 1. assign V446106 = V018082 + 1. assign V758193 = V278641 + 1. assign V812246 = V464475 - 1. assign V290957 = V811839 - 1. assign V289000 = V782630 - 1. assign V511361 = V337594. assign V937545 = V040275. assign V414549 = V178734. assign V547900 = V313706 - 1. assign V043761 = V208113 + 1. assign V920798 = V504753. assign V845768 = V263574 + 1. assign V804021 = V782630. assign V652771 = V357285 + 1. assign V893771 = V562144 - 1. assign V081635 = V306411. assign V513184 = V018082. assign V065973 = V851199. assign V255042 = V653415 + 1. assign V337594 = V851199. assign V194556 = V513184 + 1. assign V013349 = V547900 + 1. assign V974266 = V811839 + 1. assign V841678 = V716933 + 1. assign V341134 = V290957 + 1. assign V711866 = V522595 - 1. assign V495019 = V405654 + 1. assign V591326 = V529979 - 1. assign V172979 = V643506 - 1. assign V260519 = V758193 - 1. assign V068693 = V558221 - 1. assign V676519 = V817006 + 1. assign V405654 = V859118. assign V432959 = V828609 - 1. assign V933862 = V991385 - 1. assign V991385 = V956482 - 1. assign V504753 = V811839 - 1. assign V040275 = V591326. assign V944022 = V851199. assign V022647 = V842778 + 1. assign V950674 = V018082 + 1. assign V112158 = V828609 - 1. assign V594976 = V321850 + 1. assign V666676 = V594750. assign V162515 = V313706. assign V306978 = 4. assign V096072 = V194556 + 1. assign V021093 = V576105. assign V357285 = V513184 - 1. assign V879598 = V944022. assign V671052 = V950674. assign V558221 = V691781 + 1. assign V404139 = V933862 + 1. assign V944143 = V851199. assign V607015 = V956482 + 1. assign V861837 = V021093 - 1. assign V410609 = V528505 + 1. assign V281067 = V614498. assign V925833 = V851199. assign V528505 = V855614. assign V869955 = V363590. assign V263574 = V513184. assign V325902 = V711866. assign V594750 = V357285 + 1. assign V456792 = V429945 - 1. assign V989796 = V263574. assign V643506 = V513184 - 1. assign V653415 = V172979 - 1. assign V208113 = V576105 - 1. assign V035853 = V410784. assign V921991 = V649428 - 1. assign V505426 = V816257. assign V806873 = V081635 + 1. assign V498154 = V363590 + 1. assign V429945 = V643506 + 1. assign V562144 = V851199. assign V018082 = V851199 + 1. assign V649428 = V035853 + 1. assign V692880 = V721067 + 1. assign V880252 = V018082 + 1. assign V399929 = V547900. assign V529979 = V410784 + 1. assign V699880 = V172419 - 1. assign V581490 = V439962 - 1. assign V588814 = V716409 - 1. assign V981840 = V851199. assign V732314 = V893771. assign V847929 = V018082 - 1. assign V363590 = V576105 - 1. assign V300828 = V841678. assign V330221 = V666676 + 1. assign V117134 = V556546 + 1. assign V049626 = V893771 + 1. assign V286525 = V991385. assign V321575 = V859118 - 1. assign V383464 = V100230. assign V280092 = V716409. assign V848036 = V859118. assign V178734 = V540731 - 1. assign V955269 = V974266 - 1. assign V439962 = V263574 - 1. assign V576894 = V363655. assign V135516 = V649428 + 1. assign V301948 = V417012 + 1. assign V614498 = V189967 + 1. assign V642267 = V944022 + 1. assign V650526 = V439962 - 1. assign V306411 = V410784 + 1. assign V417012 = V970794 + 1. assign V486398 = V991385 + 1. assign V751292 = V399929 - 1. assign V363655 = V970794. assign V975942 = V096072 - 1. assign V464475 = V652771 - 1. assign V556546 = V851199 - 1. assign V189967 = V018082.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV306978 = 4;\n\nFrom these direct assignment(s), we have: \nV873240 = V306978 + 1 = 4 + 1 =5;\nNo other variables can be derived from V873240;\nNo other variables can be derived from V306978;\n\nNow we have done all the calculations. Derived variables are:\nV306978 = 4;\nV873240 = 5;\n\nNow we have finished this problem. ANSWER:\nV873240\n", "role": "assistant" } ]

[ "V450922" ]

[ { "content": "<context>\nassign V797162 = V444572 - 1. assign V638564 = V767521. assign V666870 = V043739 - 1. assign V322993 = V095180 + 1. assign V913372 = V831736. assign V420791 = V533494 - 1. assign V256570 = V666870 + 1. assign V046177 = V474587 - 1. assign V692083 = V136411 + 1. assign V094576 = V724784. assign V924646 = V191256. assign V474587 = V731357 - 1. assign V688136 = V800975 + 1. assign V147807 = V833296. assign V524642 = V427245. assign V028926 = V204590. assign V864351 = V184999 - 1. assign V984211 = V072286. assign V600703 = V753986 + 1. assign V651840 = V617573 - 1. assign V665162 = V831736 + 1. assign V241363 = V281414 - 1. assign V846473 = V797162 + 1. assign V212163 = V924646. assign V951716 = V474587 + 1. assign V102251 = V789852 + 1. assign V831736 = V724784 - 1. assign V957396 = V837642 - 1. assign V877278 = V800975 + 1. assign V958808 = V602310 + 1. assign V822548 = V204590 + 1. assign V909481 = V706425 + 1. assign V305913 = V541988 + 1. assign V784595 = V610182 + 1. assign V541988 = V877278 - 1. assign V783042 = V913372 + 1. assign V867246 = V085289 + 1. assign V039760 = V621800 - 1. assign V012605 = V533494. assign V257456 = V427245 + 1. assign V164685 = V790242. assign V125654 = V984938. assign V643164 = V724784 + 1. assign V147370 = V946464. assign V716504 = V096651. assign V981289 = V575222 + 1. assign V191621 = V676512 + 1. assign V789852 = V731357. assign V784355 = V028926 - 1. assign V753986 = V072286. assign V440786 = V753986. assign V186227 = V136411 + 1. assign V619248 = V305913 - 1. assign V177241 = V315753 - 1. assign V933156 = V241363 - 1. assign V845005 = V909481 + 1. assign V095180 = V043739 + 1. assign V184999 = V164685 + 1. assign V251420 = V096651 + 1. assign V731357 = V621800 + 1. assign V813257 = V800975 - 1. assign V506965 = V867246. assign V175963 = V549486 - 1. assign V984938 = V094576 - 1. assign V085289 = V136411 - 1. assign V095577 = V586296. assign V853749 = V691743 + 1. assign V691743 = V946464 + 1. assign V036224 = V427245. assign V316833 = V724784. assign V014849 = V223391. assign V857790 = V175963. assign V549486 = V107550 + 1. assign V023305 = V541988 + 1. assign V417920 = V012605. assign V358956 = V914993. assign V450922 = V122423 - 1. assign V482461 = V867246 - 1. assign V567735 = V567983. assign V703189 = V305913 + 1. assign V204590 = V533494. assign V724784 = V533494 + 1. assign V533494 = V315753. assign V202595 = V043739 + 1. assign V586296 = V241363 + 1. assign V475116 = V877278 + 1. assign V510882 = V043739 + 1. assign V931889 = V619248. assign V701613 = V022038 + 1. assign V041758 = V297177 + 1. assign V107550 = V125654. assign V887436 = V191256 - 1. assign V096651 = V638564 - 1. assign V524132 = V039760 + 1. assign V529525 = V946464 - 1. assign V368005 = V510882. assign V617573 = V204590 + 1. assign V167225 = V688136 + 1. assign V599758 = V703189 - 1. assign V444572 = V257456 - 1. assign V907891 = V946464. assign V575222 = V984938 - 1. assign V145054 = V420791 - 1. assign V609958 = V549486. assign V706425 = V494880 + 1. assign V609240 = V353520. assign V494880 = V267003 - 1. assign V946464 = V094576 - 1. assign V655866 = V691743 + 1. assign V602310 = V281414 + 1. assign V833296 = V797162 - 1. assign V790242 = V877278. assign V353520 = V164685 - 1. assign V897244 = V703189 - 1. assign V762729 = V676512. assign V554299 = V666870 - 1. assign V955056 = V877278 + 1. assign V508323 = V004845 - 1. assign V209414 = V913372 + 1. assign V636243 = V494880 + 1. assign V654389 = V297177 + 1. assign V223391 = V549486. assign V567983 = V012605 + 1. assign V297177 = V688136 + 1. assign V258251 = V251420. assign V448697 = V877278 + 1. assign V237927 = V994420. assign V479964 = V072286 - 1. assign V072286 = V831736. assign V686970 = V305913. assign V191256 = V688136. assign V434977 = V072404 - 1. assign V022038 = V417920 + 1. assign V211762 = V184999. assign V621800 = V136411 + 1. assign V136411 = V315753 + 1. assign V122423 = 7. assign V447104 = V046177. assign V455500 = V014849. assign V698480 = V638564 + 1. assign V201267 = V191256 - 1. assign V348331 = V666870 + 1. assign V610182 = V877278 + 1. assign V914993 = V955056. assign V427245 = V315753. assign V970211 = V394581 + 1. assign V459774 = V813257 + 1. assign V676512 = V036224 + 1. assign V139922 = V322993. assign V586132 = V867246 - 1. assign V837642 = V440786 + 1. assign V768713 = V043739 + 1. assign V804188 = V951716 + 1. assign V281414 = V417920 - 1. assign V004845 = V753986 - 1. assign V072404 = V731357 + 1. assign V043739 = V315753. assign V482353 = V636243 - 1. assign V800975 = V136411 - 1. assign V994420 = V913372 - 1. assign V204150 = V281414. assign V508508 = V004845 + 1. assign V017683 = V494880 - 1. assign V394581 = V212163 + 1. assign V267003 = V257456 - 1. assign V800192 = V475116 - 1. assign V695357 = V619248. assign V007217 = V479964. assign V767521 = V494880 - 1. assign V821283 = V204150. assign V666361 = V853749 + 1. assign V554428 = V257456 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V797162 = V444572 - 1. assign V638564 = V767521. assign V666870 = V043739 - 1. assign V322993 = V095180 + 1. assign V913372 = V831736. assign V420791 = V533494 - 1. assign V256570 = V666870 + 1. assign V046177 = V474587 - 1. assign V692083 = V136411 + 1. assign V094576 = V724784. assign V924646 = V191256. assign V474587 = V731357 - 1. assign V688136 = V800975 + 1. assign V147807 = V833296. assign V524642 = V427245. assign V028926 = V204590. assign V864351 = V184999 - 1. assign V984211 = V072286. assign V600703 = V753986 + 1. assign V651840 = V617573 - 1. assign V665162 = V831736 + 1. assign V241363 = V281414 - 1. assign V846473 = V797162 + 1. assign V212163 = V924646. assign V951716 = V474587 + 1. assign V102251 = V789852 + 1. assign V831736 = V724784 - 1. assign V957396 = V837642 - 1. assign V877278 = V800975 + 1. assign V958808 = V602310 + 1. assign V822548 = V204590 + 1. assign V909481 = V706425 + 1. assign V305913 = V541988 + 1. assign V784595 = V610182 + 1. assign V541988 = V877278 - 1. assign V783042 = V913372 + 1. assign V867246 = V085289 + 1. assign V039760 = V621800 - 1. assign V012605 = V533494. assign V257456 = V427245 + 1. assign V164685 = V790242. assign V125654 = V984938. assign V643164 = V724784 + 1. assign V147370 = V946464. assign V716504 = V096651. assign V981289 = V575222 + 1. assign V191621 = V676512 + 1. assign V789852 = V731357. assign V784355 = V028926 - 1. assign V753986 = V072286. assign V440786 = V753986. assign V186227 = V136411 + 1. assign V619248 = V305913 - 1. assign V177241 = V315753 - 1. assign V933156 = V241363 - 1. assign V845005 = V909481 + 1. assign V095180 = V043739 + 1. assign V184999 = V164685 + 1. assign V251420 = V096651 + 1. assign V731357 = V621800 + 1. assign V813257 = V800975 - 1. assign V506965 = V867246. assign V175963 = V549486 - 1. assign V984938 = V094576 - 1. assign V085289 = V136411 - 1. assign V095577 = V586296. assign V853749 = V691743 + 1. assign V691743 = V946464 + 1. assign V036224 = V427245. assign V316833 = V724784. assign V014849 = V223391. assign V857790 = V175963. assign V549486 = V107550 + 1. assign V023305 = V541988 + 1. assign V417920 = V012605. assign V358956 = V914993. assign V450922 = V122423 - 1. assign V482461 = V867246 - 1. assign V567735 = V567983. assign V703189 = V305913 + 1. assign V204590 = V533494. assign V724784 = V533494 + 1. assign V533494 = V315753. assign V202595 = V043739 + 1. assign V586296 = V241363 + 1. assign V475116 = V877278 + 1. assign V510882 = V043739 + 1. assign V931889 = V619248. assign V701613 = V022038 + 1. assign V041758 = V297177 + 1. assign V107550 = V125654. assign V887436 = V191256 - 1. assign V096651 = V638564 - 1. assign V524132 = V039760 + 1. assign V529525 = V946464 - 1. assign V368005 = V510882. assign V617573 = V204590 + 1. assign V167225 = V688136 + 1. assign V599758 = V703189 - 1. assign V444572 = V257456 - 1. assign V907891 = V946464. assign V575222 = V984938 - 1. assign V145054 = V420791 - 1. assign V609958 = V549486. assign V706425 = V494880 + 1. assign V609240 = V353520. assign V494880 = V267003 - 1. assign V946464 = V094576 - 1. assign V655866 = V691743 + 1. assign V602310 = V281414 + 1. assign V833296 = V797162 - 1. assign V790242 = V877278. assign V353520 = V164685 - 1. assign V897244 = V703189 - 1. assign V762729 = V676512. assign V554299 = V666870 - 1. assign V955056 = V877278 + 1. assign V508323 = V004845 - 1. assign V209414 = V913372 + 1. assign V636243 = V494880 + 1. assign V654389 = V297177 + 1. assign V223391 = V549486. assign V567983 = V012605 + 1. assign V297177 = V688136 + 1. assign V258251 = V251420. assign V448697 = V877278 + 1. assign V237927 = V994420. assign V479964 = V072286 - 1. assign V072286 = V831736. assign V686970 = V305913. assign V191256 = V688136. assign V434977 = V072404 - 1. assign V022038 = V417920 + 1. assign V211762 = V184999. assign V621800 = V136411 + 1. assign V136411 = V315753 + 1. assign V122423 = 7. assign V447104 = V046177. assign V455500 = V014849. assign V698480 = V638564 + 1. assign V201267 = V191256 - 1. assign V348331 = V666870 + 1. assign V610182 = V877278 + 1. assign V914993 = V955056. assign V427245 = V315753. assign V970211 = V394581 + 1. assign V459774 = V813257 + 1. assign V676512 = V036224 + 1. assign V139922 = V322993. assign V586132 = V867246 - 1. assign V837642 = V440786 + 1. assign V768713 = V043739 + 1. assign V804188 = V951716 + 1. assign V281414 = V417920 - 1. assign V004845 = V753986 - 1. assign V072404 = V731357 + 1. assign V043739 = V315753. assign V482353 = V636243 - 1. assign V800975 = V136411 - 1. assign V994420 = V913372 - 1. assign V204150 = V281414. assign V508508 = V004845 + 1. assign V017683 = V494880 - 1. assign V394581 = V212163 + 1. assign V267003 = V257456 - 1. assign V800192 = V475116 - 1. assign V695357 = V619248. assign V007217 = V479964. assign V767521 = V494880 - 1. assign V821283 = V204150. assign V666361 = V853749 + 1. assign V554428 = V257456 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV122423 = 7;\n\nFrom these direct assignment(s), we have: \nV450922 = V122423 - 1 = 7 - 1 =6;\nNo other variables can be derived from V450922;\nNo other variables can be derived from V122423;\n\nNow we have done all the calculations. Derived variables are:\nV122423 = 7;\nV450922 = 6;\n\nNow we have finished this problem. ANSWER:\nV450922\n", "role": "assistant" } ]

[ "V124388" ]

[ { "content": "<context>\nassign V546315 = V919989 - 1. assign V638602 = V177686 - 1. assign V280220 = V215939 - 1. assign V965323 = V212826 - 1. assign V198166 = V940033 - 1. assign V185733 = V808944. assign V092765 = V014590 + 1. assign V847957 = V645863. assign V438236 = V815829 + 1. assign V678871 = V496363. assign V173190 = V907832 - 1. assign V207493 = V212826 + 1. assign V587139 = V014590 + 1. assign V387282 = V678871 + 1. assign V314625 = V751724. assign V526806 = V438236 + 1. assign V237779 = V342866 + 1. assign V785838 = V942097 - 1. assign V651275 = V848933. assign V058206 = V661943 - 1. assign V199436 = V361160 - 1. assign V815829 = V255385 + 1. assign V134919 = V362924. assign V751724 = V362964 + 1. assign V997409 = V815829 + 1. assign V510853 = V541065 - 1. assign V135070 = V541065. assign V950425 = V645680. assign V136168 = V362964. assign V848933 = V255385 - 1. assign V507895 = V751724. assign V103772 = V149376 - 1. assign V135744 = V362924 + 1. assign V405904 = V167517. assign V831818 = V272895 + 1. assign V661943 = V272895 + 1. assign V362964 = V167517 - 1. assign V565226 = V587139 + 1. assign V167517 = V177686 + 1. assign V708100 = V362964 - 1. assign V693669 = V597838 + 1. assign V887729 = V507895 + 1. assign V688298 = V525199. assign V339839 = V726922 + 1. assign V712720 = V030939. assign V898851 = V648568 - 1. assign V496363 = V726922. assign V163687 = V438236. assign V255385 = V030939. assign V774462 = V167517 - 1. assign V447763 = V751724. assign V328297 = V255385 - 1. assign V158206 = V492328 + 1. assign V301978 = V557239. assign V714255 = V457546 + 1. assign V541065 = V942097 + 1. assign V652326 = V111214 - 1. assign V111214 = V907148 - 1. assign V601531 = V069547 - 1. assign V177686 = V255385 + 1. assign V873754 = V550093 + 1. assign V198199 = V477891. assign V349307 = V134919 + 1. assign V788140 = V887729 - 1. assign V362924 = V177686 + 1. assign V450522 = V167517 + 1. assign V648851 = V848933 - 1. assign V464281 = V648851. assign V124388 = 0. assign V893832 = V774462. assign V831058 = V314625 - 1. assign V600591 = V111583 + 1. assign V125339 = V855016. assign V610679 = V177686. assign V295391 = V940006. assign V661148 = V975211. assign V320961 = V648568. assign V648568 = V111583. assign V457546 = V887729. assign V028246 = V600591 - 1. assign V642435 = V361160 - 1. assign V848014 = V496363 - 1. assign V325865 = V401926. assign V463027 = V069547. assign V916158 = V173190. assign V111583 = V255385. assign V491944 = V536080. assign V711301 = V645680 - 1. assign V465614 = V550093. assign V870236 = V301978. assign V670887 = V610679 + 1. assign V016645 = V124388 + 1. assign V581797 = V645863 - 1. assign V940033 = V559355 + 1. assign V477891 = V726922. assign V492328 = V898851 + 1. assign V940006 = V597838. assign V997430 = V391528. assign V337217 = V025189 - 1. assign V911336 = V651275 - 1. assign V557239 = V255385 - 1. assign V370971 = V510853. assign V536080 = V199436 - 1. assign V694961 = V177686 - 1. assign V808944 = V751724 - 1. assign V128168 = V039059 + 1. assign V885846 = V688298. assign V058705 = V463027 - 1. assign V333898 = V785838. assign V479146 = V694961. assign V014590 = V391528. assign V935558 = V272895. assign V123112 = V557239 - 1. assign V855016 = V123112. assign V131839 = V589073. assign V342777 = V898851 - 1. assign V042272 = V177686 + 1. assign V768365 = V069547. assign V942338 = V587139. assign V942097 = V153653 - 1. assign V361160 = V173190. assign V679298 = V272895. assign V624852 = V153653 - 1. assign V793495 = V950425. assign V645863 = V255385. assign V525199 = V212826. assign V391528 = V557239 + 1. assign V550093 = V111583. assign V342866 = V708100 + 1. assign V039059 = V149376. assign V835962 = V092765. assign V640420 = V808944. assign V644070 = V559355 - 1. assign V216352 = V940006 + 1. assign V395119 = V785838. assign V468087 = V557239. assign V534799 = V314625 + 1. assign V375050 = V339839 - 1. assign V232705 = V030939. assign V975211 = V133565 + 1. assign V566247 = V907148 - 1. assign V919989 = V907148 + 1. assign V212826 = V123112 - 1. assign V902850 = V173190 + 1. assign V069547 = V645680 + 1. assign V161617 = V541065 - 1. assign V945551 = V496363 - 1. assign V968751 = V887729. assign V025189 = V907832 + 1. assign V207739 = V968751. assign V726922 = V645680. assign V559355 = V173190. assign V907148 = V848933. assign V645680 = V557239 + 1. assign V160852 = V387282 - 1. assign V153653 = V111583. assign V031295 = V212826 + 1. assign V272895 = V167517. assign V133565 = V566247 - 1. assign V589073 = V808944 + 1. assign V575174 = V566247 - 1. assign V215939 = V774462. assign V595372 = V465614 - 1. assign V149376 = V255385 - 1. assign V886379 = V092765. assign V597838 = V438236 + 1. assign V073507 = V678871 + 1. assign V473896 = V301978 - 1. assign V476522 = V362924 - 1. assign V401926 = V362924. assign V907832 = V149376. assign V866384 = V438236 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V546315 = V919989 - 1. assign V638602 = V177686 - 1. assign V280220 = V215939 - 1. assign V965323 = V212826 - 1. assign V198166 = V940033 - 1. assign V185733 = V808944. assign V092765 = V014590 + 1. assign V847957 = V645863. assign V438236 = V815829 + 1. assign V678871 = V496363. assign V173190 = V907832 - 1. assign V207493 = V212826 + 1. assign V587139 = V014590 + 1. assign V387282 = V678871 + 1. assign V314625 = V751724. assign V526806 = V438236 + 1. assign V237779 = V342866 + 1. assign V785838 = V942097 - 1. assign V651275 = V848933. assign V058206 = V661943 - 1. assign V199436 = V361160 - 1. assign V815829 = V255385 + 1. assign V134919 = V362924. assign V751724 = V362964 + 1. assign V997409 = V815829 + 1. assign V510853 = V541065 - 1. assign V135070 = V541065. assign V950425 = V645680. assign V136168 = V362964. assign V848933 = V255385 - 1. assign V507895 = V751724. assign V103772 = V149376 - 1. assign V135744 = V362924 + 1. assign V405904 = V167517. assign V831818 = V272895 + 1. assign V661943 = V272895 + 1. assign V362964 = V167517 - 1. assign V565226 = V587139 + 1. assign V167517 = V177686 + 1. assign V708100 = V362964 - 1. assign V693669 = V597838 + 1. assign V887729 = V507895 + 1. assign V688298 = V525199. assign V339839 = V726922 + 1. assign V712720 = V030939. assign V898851 = V648568 - 1. assign V496363 = V726922. assign V163687 = V438236. assign V255385 = V030939. assign V774462 = V167517 - 1. assign V447763 = V751724. assign V328297 = V255385 - 1. assign V158206 = V492328 + 1. assign V301978 = V557239. assign V714255 = V457546 + 1. assign V541065 = V942097 + 1. assign V652326 = V111214 - 1. assign V111214 = V907148 - 1. assign V601531 = V069547 - 1. assign V177686 = V255385 + 1. assign V873754 = V550093 + 1. assign V198199 = V477891. assign V349307 = V134919 + 1. assign V788140 = V887729 - 1. assign V362924 = V177686 + 1. assign V450522 = V167517 + 1. assign V648851 = V848933 - 1. assign V464281 = V648851. assign V124388 = 0. assign V893832 = V774462. assign V831058 = V314625 - 1. assign V600591 = V111583 + 1. assign V125339 = V855016. assign V610679 = V177686. assign V295391 = V940006. assign V661148 = V975211. assign V320961 = V648568. assign V648568 = V111583. assign V457546 = V887729. assign V028246 = V600591 - 1. assign V642435 = V361160 - 1. assign V848014 = V496363 - 1. assign V325865 = V401926. assign V463027 = V069547. assign V916158 = V173190. assign V111583 = V255385. assign V491944 = V536080. assign V711301 = V645680 - 1. assign V465614 = V550093. assign V870236 = V301978. assign V670887 = V610679 + 1. assign V016645 = V124388 + 1. assign V581797 = V645863 - 1. assign V940033 = V559355 + 1. assign V477891 = V726922. assign V492328 = V898851 + 1. assign V940006 = V597838. assign V997430 = V391528. assign V337217 = V025189 - 1. assign V911336 = V651275 - 1. assign V557239 = V255385 - 1. assign V370971 = V510853. assign V536080 = V199436 - 1. assign V694961 = V177686 - 1. assign V808944 = V751724 - 1. assign V128168 = V039059 + 1. assign V885846 = V688298. assign V058705 = V463027 - 1. assign V333898 = V785838. assign V479146 = V694961. assign V014590 = V391528. assign V935558 = V272895. assign V123112 = V557239 - 1. assign V855016 = V123112. assign V131839 = V589073. assign V342777 = V898851 - 1. assign V042272 = V177686 + 1. assign V768365 = V069547. assign V942338 = V587139. assign V942097 = V153653 - 1. assign V361160 = V173190. assign V679298 = V272895. assign V624852 = V153653 - 1. assign V793495 = V950425. assign V645863 = V255385. assign V525199 = V212826. assign V391528 = V557239 + 1. assign V550093 = V111583. assign V342866 = V708100 + 1. assign V039059 = V149376. assign V835962 = V092765. assign V640420 = V808944. assign V644070 = V559355 - 1. assign V216352 = V940006 + 1. assign V395119 = V785838. assign V468087 = V557239. assign V534799 = V314625 + 1. assign V375050 = V339839 - 1. assign V232705 = V030939. assign V975211 = V133565 + 1. assign V566247 = V907148 - 1. assign V919989 = V907148 + 1. assign V212826 = V123112 - 1. assign V902850 = V173190 + 1. assign V069547 = V645680 + 1. assign V161617 = V541065 - 1. assign V945551 = V496363 - 1. assign V968751 = V887729. assign V025189 = V907832 + 1. assign V207739 = V968751. assign V726922 = V645680. assign V559355 = V173190. assign V907148 = V848933. assign V645680 = V557239 + 1. assign V160852 = V387282 - 1. assign V153653 = V111583. assign V031295 = V212826 + 1. assign V272895 = V167517. assign V133565 = V566247 - 1. assign V589073 = V808944 + 1. assign V575174 = V566247 - 1. assign V215939 = V774462. assign V595372 = V465614 - 1. assign V149376 = V255385 - 1. assign V886379 = V092765. assign V597838 = V438236 + 1. assign V073507 = V678871 + 1. assign V473896 = V301978 - 1. assign V476522 = V362924 - 1. assign V401926 = V362924. assign V907832 = V149376. assign V866384 = V438236 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV124388 = 0;\n\nFrom these direct assignment(s), we have: \nV016645 = V124388 + 1 = 0 + 1 =1;\nNo other variables can be derived from V016645;\nNo other variables can be derived from V124388;\n\nNow we have done all the calculations. Derived variables are:\nV124388 = 0;\nV016645 = 1;\n\nNow we have finished this problem. ANSWER:\nV124388\n", "role": "assistant" } ]

[ "V302238", "V629990" ]

[ { "content": "<context>\nassign V793112 = V688454. assign V535647 = V501386 + 1. assign V762154 = V726557 - 1. assign V942861 = V986458 - 1. assign V674308 = V342667 + 1. assign V977440 = V746463 - 1. assign V169259 = V560791 + 1. assign V978166 = V512973 + 1. assign V749180 = V097927 - 1. assign V267361 = V473246 - 1. assign V521940 = V605110 - 1. assign V501386 = V314781 + 1. assign V303888 = V530293 + 1. assign V342667 = V978166 + 1. assign V883584 = V977440 + 1. assign V510699 = V872435 + 1. assign V050655 = V521940 + 1. assign V255763 = V749180. assign V843858 = V255763 + 1. assign V831869 = V620737. assign V577761 = V136533 - 1. assign V375242 = V406605. assign V337025 = V906749. assign V655935 = V512973. assign V727053 = V688454. assign V512973 = V714899. assign V650772 = V540377 + 1. assign V280999 = V210053 - 1. assign V263773 = V109562. assign V758339 = V230683 - 1. assign V302238 = 1. assign V448468 = V540377. assign V669115 = V749180 - 1. assign V309364 = V714899 + 1. assign V007212 = V486660 + 1. assign V314781 = V630007 + 1. assign V050518 = V727053 + 1. assign V073311 = V737688 + 1. assign V652565 = V995367 + 1. assign V193240 = V648277. assign V873066 = V883584 - 1. assign V532219 = V263773 - 1. assign V647654 = V512973 + 1. assign V312259 = V630007. assign V002388 = V501386. assign V230683 = V749180 - 1. assign V560791 = V620737 - 1. assign V356652 = V935661. assign V630522 = V647654 + 1. assign V815290 = V620737. assign V726557 = V312259 - 1. assign V271993 = V560791 + 1. assign V530293 = V655935 + 1. assign V056742 = V169794 - 1. assign V344517 = V768956 + 1. assign V714399 = V630007 - 1. assign V723898 = V309364. assign V648277 = V344691 + 1. assign V089722 = V714899 - 1. assign V403115 = V169350. assign V972620 = V136533. assign V487746 = V737688 - 1. assign V020318 = V872435 + 1. assign V546122 = V210053. assign V017644 = V344691. assign V210053 = V723898 + 1. assign V262738 = V312259 - 1. assign V040179 = V749180 + 1. assign V629990 = V302238. assign V283856 = V530293 - 1. assign V851210 = V365304. assign V169794 = V540377 - 1. assign V336113 = V361743 + 1. assign V671634 = V263773. assign V204001 = V768956 + 1. assign V879475 = V050655 - 1. assign V183791 = V746463 + 1. assign V612861 = V647654 - 1. assign V434348 = V972620. assign V995367 = V382965. assign V818166 = V749180 + 1. assign V696058 = V407583 - 1. assign V517968 = V936019 + 1. assign V561812 = V054887. assign V809939 = V977440 + 1. assign V052257 = V432897 + 1. assign V793785 = V072480. assign V036467 = V048119 - 1. assign V761099 = V314781 + 1. assign V006092 = V017644. assign V541812 = V382965 + 1. assign V850147 = V109562. assign V605110 = V136533 - 1. assign V415875 = V021941 - 1. assign V746463 = V714899. assign V717094 = V501386 + 1. assign V986458 = V540377 + 1. assign V935661 = V490487 - 1. assign V913390 = V356652. assign V365304 = V490487 + 1. assign V344691 = V512973 - 1. assign V109562 = V630007. assign V573863 = V230683 + 1. assign V349352 = V196124 - 1. assign V827932 = V883584 + 1. assign V209085 = V986458. assign V229615 = V746463 + 1. assign V768956 = V352745. assign V268536 = V532219 + 1. assign V289579 = V883584 - 1. assign V552647 = V255763 - 1. assign V196124 = V807529 + 1. assign V406605 = V490487. assign V382965 = V630007 - 1. assign V896999 = V630007 + 1. assign V646475 = V746463 + 1. assign V486660 = V552647 - 1. assign V473246 = V532219 - 1. assign V131359 = V229615 + 1. assign V458008 = V344691 - 1. assign V620737 = V630007 + 1. assign V068329 = V406605 - 1. assign V527111 = V850147 + 1. assign V689485 = V749180. assign V666848 = V344517 + 1. assign V097927 = V850147 - 1. assign V117064 = V648277 - 1. assign V807529 = V746463 + 1. assign V359656 = V006092 - 1. assign V021941 = V540377 - 1. assign V136533 = V630007 - 1. assign V752850 = V521940. assign V872435 = V117064 + 1. assign V072480 = V977440 + 1. assign V361743 = V895409. assign V906749 = V048119 + 1. assign V169350 = V872435 - 1. assign V770917 = V415875 + 1. assign V700744 = V017644. assign V737691 = V648277 + 1. assign V499413 = V630007 + 1. assign V059525 = V906749. assign V562950 = V761099. assign V124405 = V688454. assign V352745 = V017644 + 1. assign V658408 = V337025 - 1. assign V432897 = V494079 - 1. assign V036913 = V210053. assign V407583 = V727053 - 1. assign V494079 = V895409 + 1. assign V048119 = V648277 - 1. assign V648047 = V262738. assign V365068 = V737688 - 1. assign V868096 = V432897 - 1. assign V936019 = V768956 - 1. assign V291495 = V647654 - 1. assign V493641 = V749180 - 1. assign V540377 = V494079. assign V136715 = V872435 + 1. assign V900074 = V630007. assign V688454 = V986458 + 1. assign V573970 = V655935 + 1. assign V902496 = V818166 - 1. assign V714899 = V630007. assign V490487 = V382965 + 1. assign V465818 = V136533 + 1. assign V892578 = V655935 - 1. assign V054887 = V458008 + 1. assign V849711 = V717094. assign V215084 = V737688. assign V737688 = V352745 - 1. assign V895409 = V978166 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V793112 = V688454. assign V535647 = V501386 + 1. assign V762154 = V726557 - 1. assign V942861 = V986458 - 1. assign V674308 = V342667 + 1. assign V977440 = V746463 - 1. assign V169259 = V560791 + 1. assign V978166 = V512973 + 1. assign V749180 = V097927 - 1. assign V267361 = V473246 - 1. assign V521940 = V605110 - 1. assign V501386 = V314781 + 1. assign V303888 = V530293 + 1. assign V342667 = V978166 + 1. assign V883584 = V977440 + 1. assign V510699 = V872435 + 1. assign V050655 = V521940 + 1. assign V255763 = V749180. assign V843858 = V255763 + 1. assign V831869 = V620737. assign V577761 = V136533 - 1. assign V375242 = V406605. assign V337025 = V906749. assign V655935 = V512973. assign V727053 = V688454. assign V512973 = V714899. assign V650772 = V540377 + 1. assign V280999 = V210053 - 1. assign V263773 = V109562. assign V758339 = V230683 - 1. assign V302238 = 1. assign V448468 = V540377. assign V669115 = V749180 - 1. assign V309364 = V714899 + 1. assign V007212 = V486660 + 1. assign V314781 = V630007 + 1. assign V050518 = V727053 + 1. assign V073311 = V737688 + 1. assign V652565 = V995367 + 1. assign V193240 = V648277. assign V873066 = V883584 - 1. assign V532219 = V263773 - 1. assign V647654 = V512973 + 1. assign V312259 = V630007. assign V002388 = V501386. assign V230683 = V749180 - 1. assign V560791 = V620737 - 1. assign V356652 = V935661. assign V630522 = V647654 + 1. assign V815290 = V620737. assign V726557 = V312259 - 1. assign V271993 = V560791 + 1. assign V530293 = V655935 + 1. assign V056742 = V169794 - 1. assign V344517 = V768956 + 1. assign V714399 = V630007 - 1. assign V723898 = V309364. assign V648277 = V344691 + 1. assign V089722 = V714899 - 1. assign V403115 = V169350. assign V972620 = V136533. assign V487746 = V737688 - 1. assign V020318 = V872435 + 1. assign V546122 = V210053. assign V017644 = V344691. assign V210053 = V723898 + 1. assign V262738 = V312259 - 1. assign V040179 = V749180 + 1. assign V629990 = V302238. assign V283856 = V530293 - 1. assign V851210 = V365304. assign V169794 = V540377 - 1. assign V336113 = V361743 + 1. assign V671634 = V263773. assign V204001 = V768956 + 1. assign V879475 = V050655 - 1. assign V183791 = V746463 + 1. assign V612861 = V647654 - 1. assign V434348 = V972620. assign V995367 = V382965. assign V818166 = V749180 + 1. assign V696058 = V407583 - 1. assign V517968 = V936019 + 1. assign V561812 = V054887. assign V809939 = V977440 + 1. assign V052257 = V432897 + 1. assign V793785 = V072480. assign V036467 = V048119 - 1. assign V761099 = V314781 + 1. assign V006092 = V017644. assign V541812 = V382965 + 1. assign V850147 = V109562. assign V605110 = V136533 - 1. assign V415875 = V021941 - 1. assign V746463 = V714899. assign V717094 = V501386 + 1. assign V986458 = V540377 + 1. assign V935661 = V490487 - 1. assign V913390 = V356652. assign V365304 = V490487 + 1. assign V344691 = V512973 - 1. assign V109562 = V630007. assign V573863 = V230683 + 1. assign V349352 = V196124 - 1. assign V827932 = V883584 + 1. assign V209085 = V986458. assign V229615 = V746463 + 1. assign V768956 = V352745. assign V268536 = V532219 + 1. assign V289579 = V883584 - 1. assign V552647 = V255763 - 1. assign V196124 = V807529 + 1. assign V406605 = V490487. assign V382965 = V630007 - 1. assign V896999 = V630007 + 1. assign V646475 = V746463 + 1. assign V486660 = V552647 - 1. assign V473246 = V532219 - 1. assign V131359 = V229615 + 1. assign V458008 = V344691 - 1. assign V620737 = V630007 + 1. assign V068329 = V406605 - 1. assign V527111 = V850147 + 1. assign V689485 = V749180. assign V666848 = V344517 + 1. assign V097927 = V850147 - 1. assign V117064 = V648277 - 1. assign V807529 = V746463 + 1. assign V359656 = V006092 - 1. assign V021941 = V540377 - 1. assign V136533 = V630007 - 1. assign V752850 = V521940. assign V872435 = V117064 + 1. assign V072480 = V977440 + 1. assign V361743 = V895409. assign V906749 = V048119 + 1. assign V169350 = V872435 - 1. assign V770917 = V415875 + 1. assign V700744 = V017644. assign V737691 = V648277 + 1. assign V499413 = V630007 + 1. assign V059525 = V906749. assign V562950 = V761099. assign V124405 = V688454. assign V352745 = V017644 + 1. assign V658408 = V337025 - 1. assign V432897 = V494079 - 1. assign V036913 = V210053. assign V407583 = V727053 - 1. assign V494079 = V895409 + 1. assign V048119 = V648277 - 1. assign V648047 = V262738. assign V365068 = V737688 - 1. assign V868096 = V432897 - 1. assign V936019 = V768956 - 1. assign V291495 = V647654 - 1. assign V493641 = V749180 - 1. assign V540377 = V494079. assign V136715 = V872435 + 1. assign V900074 = V630007. assign V688454 = V986458 + 1. assign V573970 = V655935 + 1. assign V902496 = V818166 - 1. assign V714899 = V630007. assign V490487 = V382965 + 1. assign V465818 = V136533 + 1. assign V892578 = V655935 - 1. assign V054887 = V458008 + 1. assign V849711 = V717094. assign V215084 = V737688. assign V737688 = V352745 - 1. assign V895409 = V978166 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV302238 = 1;\n\nFrom these direct assignment(s), we have: \nV629990 = V302238 = 1;\nNo other variables can be derived from V629990;\nNo other variables can be derived from V302238;\n\nNow we have done all the calculations. Derived variables are:\nV302238 = 1;\nV629990 = 1;\n\nNow we have finished this problem. ANSWER:\nV302238, V629990\n", "role": "assistant" } ]

[ "V660484" ]

[ { "content": "<context>\nassign V826924 = V136735 + 1. assign V908154 = V084643 - 1. assign V955072 = V845973 - 1. assign V965886 = V194741. assign V664731 = V848001. assign V291264 = V294495 - 1. assign V336652 = V262172 + 1. assign V246059 = V901195 - 1. assign V119726 = V750039. assign V080483 = V651278. assign V042196 = V294495 - 1. assign V540474 = V136735. assign V877976 = V206905 + 1. assign V890000 = V444325 + 1. assign V217073 = V413507 + 1. assign V238042 = V992431 + 1. assign V841560 = V294495 - 1. assign V301230 = V262172. assign V207637 = V774244 + 1. assign V412217 = V241339 - 1. assign V241339 = V935266. assign V793142 = V774244 + 1. assign V142984 = V627664 + 1. assign V901195 = V868108. assign V833755 = V326632 - 1. assign V349755 = V823569 + 1. assign V882839 = V084643 + 1. assign V144688 = V616622 + 1. assign V431194 = V326632. assign V055545 = V136735 + 1. assign V824820 = V642466 + 1. assign V081671 = V234235 + 1. assign V225750 = V774244 - 1. assign V935638 = V531735 - 1. assign V276380 = V234235 - 1. assign V861473 = V660484 + 1. assign V662291 = V478546. assign V565115 = V241339 + 1. assign V387133 = V882839. assign V323964 = V004771. assign V194741 = V262172 - 1. assign V027974 = V426413 + 1. assign V538664 = V246059 + 1. assign V921575 = V294495 + 1. assign V637574 = V448102 + 1. assign V053542 = V826924. assign V244752 = V241339 - 1. assign V282096 = V137933 + 1. assign V737951 = V234235 - 1. assign V916050 = V246059 - 1. assign V696739 = V336652. assign V714872 = V698313. assign V660376 = V842667 - 1. assign V234235 = V225750 + 1. assign V445881 = V238042 - 1. assign V135013 = V830806 + 1. assign V004771 = V451508 + 1. assign V064449 = V320464. assign V698313 = V696739 - 1. assign V845973 = V916050 + 1. assign V426413 = V053542. assign V431295 = V696739. assign V294495 = V616622 + 1. assign V320464 = V868108. assign V002427 = V320464 - 1. assign V642466 = V549843 + 1. assign V694955 = V916050 + 1. assign V627576 = V845973 + 1. assign V823569 = V336652. assign V230504 = V451508 - 1. assign V594294 = V842667 + 1. assign V499951 = V882839. assign V423959 = V244752. assign V276520 = V549843 + 1. assign V287959 = V543864 - 1. assign V166198 = V426413 + 1. assign V835886 = V064449 + 1. assign V103034 = V861710 + 1. assign V444325 = V244752 + 1. assign V445761 = V246059 - 1. assign V743996 = V320464 - 1. assign V627664 = V241339. assign V750039 = V234235. assign V703599 = V048169 + 1. assign V661353 = V664731 + 1. assign V136735 = V412217. assign V724596 = V262172. assign V190545 = V291264 - 1. assign V812459 = V206905 - 1. assign V759028 = V538664 - 1. assign V514549 = V084643. assign V048169 = V616622 - 1. assign V062587 = V835886 - 1. assign V918242 = V696739 - 1. assign V110871 = V909414 - 1. assign V326632 = V246059 + 1. assign V992431 = V877976 - 1. assign V732678 = V081671. assign V461625 = V918242 - 1. assign V982247 = V349430 - 1. assign V084643 = V241339 - 1. assign V719624 = V135013 + 1. assign V262172 = V901195 - 1. assign V370331 = V282096. assign V830806 = V642466. assign V448102 = V616622 + 1. assign V009822 = V083632 + 1. assign V120801 = V326632 + 1. assign V478546 = V244752 - 1. assign V095737 = V824820. assign V349430 = V320464. assign V861710 = V774244. assign V797103 = V084643 + 1. assign V999967 = V637574. assign V645837 = V241339. assign V757143 = V053542. assign V616622 = V241339. assign V774244 = V868108 + 1. assign V242598 = V684057 - 1. assign V137933 = V861710 + 1. assign V196578 = V046877. assign V909414 = V935266 + 1. assign V109846 = V336652 - 1. assign V531735 = V848001 - 1. assign V999243 = V326632 - 1. assign V481481 = V992431. assign V935266 = V868108 - 1. assign V177017 = V431194 - 1. assign V381497 = V004771 + 1. assign V639013 = V885509. assign V451508 = V246059 + 1. assign V083632 = V877976 + 1. assign V288159 = V262172 - 1. assign V428655 = V737162 - 1. assign V737162 = V901195 + 1. assign V583902 = V081671 - 1. assign V651278 = V337554. assign V159948 = V552922 + 1. assign V595350 = V320464 - 1. assign V508909 = V053542 + 1. assign V337554 = V694955. assign V300303 = V036888 - 1. assign V025598 = V301230. assign V552922 = V136735. assign V494488 = V676174 + 1. assign V993723 = V627664. assign V549843 = V724596. assign V461910 = V144688 + 1. assign V206905 = V244752 + 1. assign V859882 = V431194 + 1. assign V365201 = V645837 - 1. assign V676174 = V918242 + 1. assign V312926 = V336652 + 1. assign V842667 = V349430 + 1. assign V449145 = V206905. assign V684057 = V616622 - 1. assign V534725 = V955072 + 1. assign V476765 = V935266. assign V638778 = V877976 + 1. assign V543864 = V514549 + 1. assign V799018 = V877976 - 1. assign V036888 = V449145 + 1. assign V848001 = V696739. assign V176401 = V908154. assign V046877 = V241339 - 1. assign V885509 = V909414. assign V413507 = V246059. assign V052260 = V645837 + 1. assign V637355 = V103034 + 1. assign V115693 = V083632. assign V189934 = V109846. assign V660484 = 0.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" } ]

[ { "content": "<context>\nassign V826924 = V136735 + 1. assign V908154 = V084643 - 1. assign V955072 = V845973 - 1. assign V965886 = V194741. assign V664731 = V848001. assign V291264 = V294495 - 1. assign V336652 = V262172 + 1. assign V246059 = V901195 - 1. assign V119726 = V750039. assign V080483 = V651278. assign V042196 = V294495 - 1. assign V540474 = V136735. assign V877976 = V206905 + 1. assign V890000 = V444325 + 1. assign V217073 = V413507 + 1. assign V238042 = V992431 + 1. assign V841560 = V294495 - 1. assign V301230 = V262172. assign V207637 = V774244 + 1. assign V412217 = V241339 - 1. assign V241339 = V935266. assign V793142 = V774244 + 1. assign V142984 = V627664 + 1. assign V901195 = V868108. assign V833755 = V326632 - 1. assign V349755 = V823569 + 1. assign V882839 = V084643 + 1. assign V144688 = V616622 + 1. assign V431194 = V326632. assign V055545 = V136735 + 1. assign V824820 = V642466 + 1. assign V081671 = V234235 + 1. assign V225750 = V774244 - 1. assign V935638 = V531735 - 1. assign V276380 = V234235 - 1. assign V861473 = V660484 + 1. assign V662291 = V478546. assign V565115 = V241339 + 1. assign V387133 = V882839. assign V323964 = V004771. assign V194741 = V262172 - 1. assign V027974 = V426413 + 1. assign V538664 = V246059 + 1. assign V921575 = V294495 + 1. assign V637574 = V448102 + 1. assign V053542 = V826924. assign V244752 = V241339 - 1. assign V282096 = V137933 + 1. assign V737951 = V234235 - 1. assign V916050 = V246059 - 1. assign V696739 = V336652. assign V714872 = V698313. assign V660376 = V842667 - 1. assign V234235 = V225750 + 1. assign V445881 = V238042 - 1. assign V135013 = V830806 + 1. assign V004771 = V451508 + 1. assign V064449 = V320464. assign V698313 = V696739 - 1. assign V845973 = V916050 + 1. assign V426413 = V053542. assign V431295 = V696739. assign V294495 = V616622 + 1. assign V320464 = V868108. assign V002427 = V320464 - 1. assign V642466 = V549843 + 1. assign V694955 = V916050 + 1. assign V627576 = V845973 + 1. assign V823569 = V336652. assign V230504 = V451508 - 1. assign V594294 = V842667 + 1. assign V499951 = V882839. assign V423959 = V244752. assign V276520 = V549843 + 1. assign V287959 = V543864 - 1. assign V166198 = V426413 + 1. assign V835886 = V064449 + 1. assign V103034 = V861710 + 1. assign V444325 = V244752 + 1. assign V445761 = V246059 - 1. assign V743996 = V320464 - 1. assign V627664 = V241339. assign V750039 = V234235. assign V703599 = V048169 + 1. assign V661353 = V664731 + 1. assign V136735 = V412217. assign V724596 = V262172. assign V190545 = V291264 - 1. assign V812459 = V206905 - 1. assign V759028 = V538664 - 1. assign V514549 = V084643. assign V048169 = V616622 - 1. assign V062587 = V835886 - 1. assign V918242 = V696739 - 1. assign V110871 = V909414 - 1. assign V326632 = V246059 + 1. assign V992431 = V877976 - 1. assign V732678 = V081671. assign V461625 = V918242 - 1. assign V982247 = V349430 - 1. assign V084643 = V241339 - 1. assign V719624 = V135013 + 1. assign V262172 = V901195 - 1. assign V370331 = V282096. assign V830806 = V642466. assign V448102 = V616622 + 1. assign V009822 = V083632 + 1. assign V120801 = V326632 + 1. assign V478546 = V244752 - 1. assign V095737 = V824820. assign V349430 = V320464. assign V861710 = V774244. assign V797103 = V084643 + 1. assign V999967 = V637574. assign V645837 = V241339. assign V757143 = V053542. assign V616622 = V241339. assign V774244 = V868108 + 1. assign V242598 = V684057 - 1. assign V137933 = V861710 + 1. assign V196578 = V046877. assign V909414 = V935266 + 1. assign V109846 = V336652 - 1. assign V531735 = V848001 - 1. assign V999243 = V326632 - 1. assign V481481 = V992431. assign V935266 = V868108 - 1. assign V177017 = V431194 - 1. assign V381497 = V004771 + 1. assign V639013 = V885509. assign V451508 = V246059 + 1. assign V083632 = V877976 + 1. assign V288159 = V262172 - 1. assign V428655 = V737162 - 1. assign V737162 = V901195 + 1. assign V583902 = V081671 - 1. assign V651278 = V337554. assign V159948 = V552922 + 1. assign V595350 = V320464 - 1. assign V508909 = V053542 + 1. assign V337554 = V694955. assign V300303 = V036888 - 1. assign V025598 = V301230. assign V552922 = V136735. assign V494488 = V676174 + 1. assign V993723 = V627664. assign V549843 = V724596. assign V461910 = V144688 + 1. assign V206905 = V244752 + 1. assign V859882 = V431194 + 1. assign V365201 = V645837 - 1. assign V676174 = V918242 + 1. assign V312926 = V336652 + 1. assign V842667 = V349430 + 1. assign V449145 = V206905. assign V684057 = V616622 - 1. assign V534725 = V955072 + 1. assign V476765 = V935266. assign V638778 = V877976 + 1. assign V543864 = V514549 + 1. assign V799018 = V877976 - 1. assign V036888 = V449145 + 1. assign V848001 = V696739. assign V176401 = V908154. assign V046877 = V241339 - 1. assign V885509 = V909414. assign V413507 = V246059. assign V052260 = V645837 + 1. assign V637355 = V103034 + 1. assign V115693 = V083632. assign V189934 = V109846. assign V660484 = 0.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.\nUsing only these relationships, determine which variables (if any) from which values can be derived are equal to 0.\nShow your step-by-step reasoning and calculations, and then conclude your final answer in a sentence.", "role": "user" }, { "content": "First, there are such direct assignment(s):\nV660484 = 0;\n\nFrom these direct assignment(s), we have: \nV861473 = V660484 + 1 = 0 + 1 =1;\nNo other variables can be derived from V861473;\nNo other variables can be derived from V660484;\n\nNow we have done all the calculations. Derived variables are:\nV660484 = 0;\nV861473 = 1;\n\nNow we have finished this problem. ANSWER:\nV660484\n", "role": "assistant" } ]

[ "V457475", "V082326" ]

[ { "content": "<context>\nassign V500577 = V947087 - 1. assign V940597 = V843766. assign V191034 = V441751 + 1. assign V443793 = V353847 - 1. assign V572652 = V676781 - 1. assign V598263 = V271277. assign V826054 = V947087 - 1. assign V328405 = V843766 + 1. assign V360455 = V328405 - 1. assign V227204 = V402683 - 1. assign V719161 = V962927 + 1. assign V009444 = V314328. assign V947087 = V852043. assign V728218 = V475238 - 1. assign V643347 = V940597 + 1. assign V137915 = V962927 + 1. assign V968125 = V494933 - 1. assign V888831 = V170133 + 1. assign V724621 = V947087 + 1. assign V882001 = V120243 - 1. assign V551866 = V600506. assign V771108 = V219867 + 1. assign V314328 = V469054 - 1. assign V469054 = V843766 - 1. assign V887922 = V501767. assign V988853 = V664470. assign V108466 = V808510 - 1. assign V960560 = V219867 + 1. assign V288581 = V070480. assign V646862 = V219867 + 1. assign V986912 = V646862. assign V392067 = V501767 - 1. assign V244889 = V440438 + 1. assign V456365 = V220279. assign V107597 = V680979. assign V582146 = V035380. assign V475238 = V595383 - 1. assign V212604 = V770703. assign V855275 = V678837 + 1. assign V664470 = V643347 + 1. assign V591402 = V535851. assign V170133 = V220279 - 1. assign V617738 = V724621 + 1. assign V535851 = V551866 - 1. assign V820783 = V441751 - 1. assign V096200 = V815696 + 1. assign V096418 = V617738. assign V821291 = V787611 + 1. assign V671995 = V176401. assign V945777 = V047800 - 1. assign V687015 = V826054. assign V222575 = V843766. assign V082326 = V457475. assign V612379 = V227204 + 1. assign V249002 = V328405. assign V692176 = V151645 + 1. assign V895791 = V524589 + 1. assign V965240 = V962927 + 1. assign V678616 = V591402. assign V335685 = V695381 + 1. assign V647795 = V986912 + 1. assign V457475 = 10. assign V034888 = V360455. assign V222594 = V360455. assign V680979 = V249002 + 1. assign V633838 = V376530 - 1. assign V220279 = V249002 - 1. assign V848196 = V859715. assign V524589 = V960560 - 1. assign V184435 = V678837 + 1. assign V059103 = V227204. assign V198286 = V376530 - 1. assign V036307 = V335685 - 1. assign V623386 = V843766. assign V386795 = V859715 - 1. assign V352224 = V600506 + 1. assign V422496 = V680979. assign V595383 = V646862 - 1. assign V779064 = V859715 - 1. assign V697677 = V600506 + 1. assign V183417 = V564955. assign V402683 = V697677 - 1. assign V490078 = V034888 + 1. assign V035380 = V986912 - 1. assign V962927 = V986912 - 1. assign V314945 = V102640 - 1. assign V787611 = V360455 + 1. assign V730940 = V475238 - 1. assign V737026 = V351485. assign V361826 = V724621 + 1. assign V139307 = V033596 - 1. assign V021812 = V815696 + 1. assign V683835 = V770703 - 1. assign V725094 = V695381. assign V563606 = V035380 + 1. assign V425517 = V719161. assign V181584 = V501767 - 1. assign V756222 = V517645 - 1. assign V145885 = V612379. assign V337457 = V517645 - 1. assign V351485 = V600506. assign V123256 = V009444 + 1. assign V847467 = V151645 - 1. assign V807888 = V517645 - 1. assign V243313 = V108466. assign V494933 = V035380 + 1. assign V902843 = V402683 + 1. assign V102640 = V219867. assign V742856 = V678837 + 1. assign V055777 = V469054. assign V408832 = V572652 + 1. assign V770703 = V351485 - 1. assign V676781 = V697677 - 1. assign V164492 = V351485 - 1. assign V906597 = V402683 + 1. assign V151645 = V222575. assign V473737 = V034888. assign V956926 = V995962 + 1. assign V758737 = V351485 + 1. assign V995962 = V927222 + 1. assign V219867 = V360455 + 1. assign V695381 = V598263 - 1. assign V980622 = V974799 + 1. assign V070480 = V219867. assign V600506 = V678837 + 1. assign V441751 = V249002. assign V678837 = V843766. assign V422644 = V772602 + 1. assign V537850 = V820783. assign V772602 = V647795 - 1. assign V423812 = V225825. assign V538862 = V360455 + 1. assign V692189 = V222594 + 1. assign V472562 = V288581. assign V225825 = V772602. assign V897475 = V108466 - 1. assign V202728 = V021812 + 1. assign V376530 = V697677. assign V345161 = V352224 + 1. assign V387368 = V897475. assign V025036 = V826054 + 1. assign V033596 = V176401 - 1. assign V440438 = V852043. assign V930180 = V563606 - 1. assign V729707 = V191034 - 1. assign V501767 = V473737 - 1. assign V130517 = V719161 + 1. assign V407039 = V271277. assign V130618 = V249002 + 1. assign V938480 = V646862 - 1. assign V808510 = V551866 - 1. assign V271277 = V538862 - 1. assign V120243 = V671995 - 1. assign V974799 = V500577 - 1. assign V968436 = V756222 + 1. assign V294528 = V888831 - 1. assign V047800 = V598263 + 1. assign V289367 = V888831 + 1. assign V318460 = V198286 - 1. assign V852043 = V843766. assign V772790 = V719161 - 1. assign V353847 = V222575 + 1. assign V859715 = V676781. assign V815696 = V940597 + 1. assign V176401 = V737026. assign V360325 = V402683 - 1. assign V268586 = V787611. assign V582840 = V692176 + 1. assign V564955 = V314328 + 1. assign V517645 = V328405 - 1. assign V679949 = V328405 - 1. assign V927222 = V815696 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V500577 = V947087 - 1. assign V940597 = V843766. assign V191034 = V441751 + 1. assign V443793 = V353847 - 1. assign V572652 = V676781 - 1. assign V598263 = V271277. assign V826054 = V947087 - 1. assign V328405 = V843766 + 1. assign V360455 = V328405 - 1. assign V227204 = V402683 - 1. assign V719161 = V962927 + 1. assign V009444 = V314328. assign V947087 = V852043. assign V728218 = V475238 - 1. assign V643347 = V940597 + 1. assign V137915 = V962927 + 1. assign V968125 = V494933 - 1. assign V888831 = V170133 + 1. assign V724621 = V947087 + 1. assign V882001 = V120243 - 1. assign V551866 = V600506. assign V771108 = V219867 + 1. assign V314328 = V469054 - 1. assign V469054 = V843766 - 1. assign V887922 = V501767. assign V988853 = V664470. assign V108466 = V808510 - 1. assign V960560 = V219867 + 1. assign V288581 = V070480. assign V646862 = V219867 + 1. assign V986912 = V646862. assign V392067 = V501767 - 1. assign V244889 = V440438 + 1. assign V456365 = V220279. assign V107597 = V680979. assign V582146 = V035380. assign V475238 = V595383 - 1. assign V212604 = V770703. assign V855275 = V678837 + 1. assign V664470 = V643347 + 1. assign V591402 = V535851. assign V170133 = V220279 - 1. assign V617738 = V724621 + 1. assign V535851 = V551866 - 1. assign V820783 = V441751 - 1. assign V096200 = V815696 + 1. assign V096418 = V617738. assign V821291 = V787611 + 1. assign V671995 = V176401. assign V945777 = V047800 - 1. assign V687015 = V826054. assign V222575 = V843766. assign V082326 = V457475. assign V612379 = V227204 + 1. assign V249002 = V328405. assign V692176 = V151645 + 1. assign V895791 = V524589 + 1. assign V965240 = V962927 + 1. assign V678616 = V591402. assign V335685 = V695381 + 1. assign V647795 = V986912 + 1. assign V457475 = 10. assign V034888 = V360455. assign V222594 = V360455. assign V680979 = V249002 + 1. assign V633838 = V376530 - 1. assign V220279 = V249002 - 1. assign V848196 = V859715. assign V524589 = V960560 - 1. assign V184435 = V678837 + 1. assign V059103 = V227204. assign V198286 = V376530 - 1. assign V036307 = V335685 - 1. assign V623386 = V843766. assign V386795 = V859715 - 1. assign V352224 = V600506 + 1. assign V422496 = V680979. assign V595383 = V646862 - 1. assign V779064 = V859715 - 1. assign V697677 = V600506 + 1. assign V183417 = V564955. assign V402683 = V697677 - 1. assign V490078 = V034888 + 1. assign V035380 = V986912 - 1. assign V962927 = V986912 - 1. assign V314945 = V102640 - 1. assign V787611 = V360455 + 1. assign V730940 = V475238 - 1. assign V737026 = V351485. assign V361826 = V724621 + 1. assign V139307 = V033596 - 1. assign V021812 = V815696 + 1. assign V683835 = V770703 - 1. assign V725094 = V695381. assign V563606 = V035380 + 1. assign V425517 = V719161. assign V181584 = V501767 - 1. assign V756222 = V517645 - 1. assign V145885 = V612379. assign V337457 = V517645 - 1. assign V351485 = V600506. assign V123256 = V009444 + 1. assign V847467 = V151645 - 1. assign V807888 = V517645 - 1. assign V243313 = V108466. assign V494933 = V035380 + 1. assign V902843 = V402683 + 1. assign V102640 = V219867. assign V742856 = V678837 + 1. assign V055777 = V469054. assign V408832 = V572652 + 1. assign V770703 = V351485 - 1. assign V676781 = V697677 - 1. assign V164492 = V351485 - 1. assign V906597 = V402683 + 1. assign V151645 = V222575. assign V473737 = V034888. assign V956926 = V995962 + 1. assign V758737 = V351485 + 1. assign V995962 = V927222 + 1. assign V219867 = V360455 + 1. assign V695381 = V598263 - 1. assign V980622 = V974799 + 1. assign V070480 = V219867. assign V600506 = V678837 + 1. assign V441751 = V249002. assign V678837 = V843766. assign V422644 = V772602 + 1. assign V537850 = V820783. assign V772602 = V647795 - 1. assign V423812 = V225825. assign V538862 = V360455 + 1. assign V692189 = V222594 + 1. assign V472562 = V288581. assign V225825 = V772602. assign V897475 = V108466 - 1. assign V202728 = V021812 + 1. assign V376530 = V697677. assign V345161 = V352224 + 1. assign V387368 = V897475. assign V025036 = V826054 + 1. assign V033596 = V176401 - 1. assign V440438 = V852043. assign V930180 = V563606 - 1. assign V729707 = V191034 - 1. assign V501767 = V473737 - 1. assign V130517 = V719161 + 1. assign V407039 = V271277. assign V130618 = V249002 + 1. assign V938480 = V646862 - 1. assign V808510 = V551866 - 1. assign V271277 = V538862 - 1. assign V120243 = V671995 - 1. assign V974799 = V500577 - 1. assign V968436 = V756222 + 1. assign V294528 = V888831 - 1. assign V047800 = V598263 + 1. assign V289367 = V888831 + 1. assign V318460 = V198286 - 1. assign V852043 = V843766. assign V772790 = V719161 - 1. assign V353847 = V222575 + 1. assign V859715 = V676781. assign V815696 = V940597 + 1. assign V176401 = V737026. assign V360325 = V402683 - 1. assign V268586 = V787611. assign V582840 = V692176 + 1. assign V564955 = V314328 + 1. assign V517645 = V328405 - 1. assign V679949 = V328405 - 1. assign V927222 = V815696 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV457475 = 10;\n\nFrom these direct assignment(s), we have: \nV082326 = V457475 = 10;\nNo other variables can be derived from V082326;\nNo other variables can be derived from V457475;\n\nNow we have done all the calculations. Derived variables are:\nV457475 = 10;\nV082326 = 10;\n\nNow we have finished this problem. ANSWER:\nV457475, V082326\n", "role": "assistant" } ]

[ "V665582" ]

[ { "content": "<context>\nassign V981481 = V357042 + 1. assign V069971 = V357611 + 1. assign V969065 = V698021 - 1. assign V939067 = V924850 + 1. assign V088240 = V133146 + 1. assign V942149 = V595396 + 1. assign V960294 = V979703. assign V139868 = V829634 - 1. assign V824210 = V955465 - 1. assign V319367 = V061233. assign V585834 = V061233 - 1. assign V116922 = V061233 - 1. assign V620905 = V824210 - 1. assign V617391 = V259469. assign V209242 = V135136 - 1. assign V844959 = V114603 - 1. assign V477625 = V067284 - 1. assign V779806 = V534403 + 1. assign V855949 = V282859. assign V889640 = 3. assign V191913 = V924850. assign V045138 = V514003 + 1. assign V534143 = V336548 - 1. assign V114603 = V453244 - 1. assign V485526 = V357042. assign V282859 = V081618 + 1. assign V540170 = V979703 - 1. assign V061233 = V955465. assign V904900 = V895845. assign V275551 = V924850 - 1. assign V009993 = V291021 + 1. assign V689282 = V116922. assign V540876 = V522001. assign V234832 = V436480 + 1. assign V067284 = V802703 + 1. assign V949735 = V485526 - 1. assign V787835 = V153696 - 1. assign V889454 = V673314 + 1. assign V347628 = V288950. assign V539666 = V673314. assign V373278 = V009993 + 1. assign V079493 = V585087 - 1. assign V418109 = V407042 - 1. assign V742093 = V802703. assign V665582 = V889640 + 1. assign V087150 = V980015 - 1. assign V785549 = V979703 + 1. assign V690977 = V540876 - 1. assign V621307 = V851710. assign V958706 = V288950 + 1. assign V058527 = V374298 - 1. assign V872758 = V673314. assign V522001 = V357042. assign V057997 = V069971 + 1. assign V357611 = V540876 + 1. assign V357042 = V042763. assign V344491 = V889454. assign V832640 = V960294 + 1. assign V884700 = V979703 + 1. assign V895845 = V673314 + 1. assign V583318 = V319367 - 1. assign V686968 = V042763 - 1. assign V407042 = V150017. assign V239635 = V621307 + 1. assign V338935 = V060893. assign V980015 = V881077 - 1. assign V783010 = V617391 - 1. assign V524865 = V522001. assign V925456 = V717144 - 1. assign V135136 = V562904. assign V060893 = V539666. assign V979078 = V585834 + 1. assign V699584 = V539666 + 1. assign V424108 = V844959. assign V457233 = V904900 + 1. assign V115160 = V742093 + 1. assign V217077 = V150017 + 1. assign V540434 = V152396 + 1. assign V309207 = V070173 + 1. assign V288950 = V979703 + 1. assign V009132 = V889454 - 1. assign V408079 = V690977 + 1. assign V437091 = V061233 + 1. assign V585087 = V547245 - 1. assign V664477 = V802703 + 1. assign V106480 = V844959. assign V214914 = V128664 - 1. assign V290795 = V291021 - 1. assign V562904 = V884700 - 1. assign V829634 = V762500. assign V547245 = V305079. assign V545468 = V851710 + 1. assign V940830 = V015666 - 1. assign V015666 = V135136. assign V324718 = V802703 - 1. assign V247052 = V133146 + 1. assign V717144 = V335387 - 1. assign V335387 = V534403 + 1. assign V532928 = V514003 - 1. assign V212535 = V288950. assign V698021 = V783010 + 1. assign V924850 = V042763 - 1. assign V680439 = V357042 + 1. assign V609747 = V802703 + 1. assign V595396 = V116922. assign V347626 = V872758 + 1. assign V516904 = V832640 - 1. assign V081618 = V061233 + 1. assign V534403 = V495244 - 1. assign V979703 = V522001 + 1. assign V129072 = V401491 + 1. assign V495244 = V979703 - 1. assign V336548 = V070173. assign V340137 = V866735. assign V328689 = V595396 - 1. assign V133146 = V324718. assign V291021 = V824210 + 1. assign V277985 = V088240. assign V366775 = V924850 - 1. assign V453244 = V485526. assign V934508 = V366775. assign V126800 = V208070 - 1. assign V272199 = V069971. assign V436480 = V133146. assign V657966 = V045138. assign V118016 = V979078 + 1. assign V072344 = V060893 + 1. assign V514003 = V539666 - 1. assign V259469 = V540876 + 1. assign V289975 = V357042 - 1. assign V131052 = V212535. assign V647773 = V787835 - 1. assign V356620 = V407042 + 1. assign V413200 = V940830 + 1. assign V750858 = V881077. assign V871592 = V540434 - 1. assign V478356 = V979078. assign V058042 = V340137. assign V152396 = V319367 - 1. assign V721853 = V072344 + 1. assign V104545 = V495244 - 1. assign V802703 = V955465. assign V128664 = V247052. assign V063707 = V291021 - 1. assign V070699 = V116922 - 1. assign V757807 = V131052 + 1. assign V648498 = V881077. assign V150017 = V802703 - 1. assign V866735 = V889454 + 1. assign V054577 = V740067. assign V401491 = V495244 - 1. assign V305079 = V319367 + 1. assign V881077 = V621307 - 1. assign V762500 = V979703. assign V208070 = V081618 + 1. assign V520845 = V595396. assign V153696 = V762500 - 1. assign V851710 = V061233. assign V391319 = V495244 + 1. assign V740067 = V522001 + 1. assign V315382 = V787835. assign V592312 = V408079 + 1. assign V934034 = V680439. assign V070173 = V924850 + 1. assign V955465 = V522001. assign V279844 = V648498 - 1. assign V673314 = V522001. assign V075699 = V009132. assign V374298 = V150017 + 1. assign V141560 = V657966 + 1. assign V847085 = V335387. assign V860122 = V779806 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V981481 = V357042 + 1. assign V069971 = V357611 + 1. assign V969065 = V698021 - 1. assign V939067 = V924850 + 1. assign V088240 = V133146 + 1. assign V942149 = V595396 + 1. assign V960294 = V979703. assign V139868 = V829634 - 1. assign V824210 = V955465 - 1. assign V319367 = V061233. assign V585834 = V061233 - 1. assign V116922 = V061233 - 1. assign V620905 = V824210 - 1. assign V617391 = V259469. assign V209242 = V135136 - 1. assign V844959 = V114603 - 1. assign V477625 = V067284 - 1. assign V779806 = V534403 + 1. assign V855949 = V282859. assign V889640 = 3. assign V191913 = V924850. assign V045138 = V514003 + 1. assign V534143 = V336548 - 1. assign V114603 = V453244 - 1. assign V485526 = V357042. assign V282859 = V081618 + 1. assign V540170 = V979703 - 1. assign V061233 = V955465. assign V904900 = V895845. assign V275551 = V924850 - 1. assign V009993 = V291021 + 1. assign V689282 = V116922. assign V540876 = V522001. assign V234832 = V436480 + 1. assign V067284 = V802703 + 1. assign V949735 = V485526 - 1. assign V787835 = V153696 - 1. assign V889454 = V673314 + 1. assign V347628 = V288950. assign V539666 = V673314. assign V373278 = V009993 + 1. assign V079493 = V585087 - 1. assign V418109 = V407042 - 1. assign V742093 = V802703. assign V665582 = V889640 + 1. assign V087150 = V980015 - 1. assign V785549 = V979703 + 1. assign V690977 = V540876 - 1. assign V621307 = V851710. assign V958706 = V288950 + 1. assign V058527 = V374298 - 1. assign V872758 = V673314. assign V522001 = V357042. assign V057997 = V069971 + 1. assign V357611 = V540876 + 1. assign V357042 = V042763. assign V344491 = V889454. assign V832640 = V960294 + 1. assign V884700 = V979703 + 1. assign V895845 = V673314 + 1. assign V583318 = V319367 - 1. assign V686968 = V042763 - 1. assign V407042 = V150017. assign V239635 = V621307 + 1. assign V338935 = V060893. assign V980015 = V881077 - 1. assign V783010 = V617391 - 1. assign V524865 = V522001. assign V925456 = V717144 - 1. assign V135136 = V562904. assign V060893 = V539666. assign V979078 = V585834 + 1. assign V699584 = V539666 + 1. assign V424108 = V844959. assign V457233 = V904900 + 1. assign V115160 = V742093 + 1. assign V217077 = V150017 + 1. assign V540434 = V152396 + 1. assign V309207 = V070173 + 1. assign V288950 = V979703 + 1. assign V009132 = V889454 - 1. assign V408079 = V690977 + 1. assign V437091 = V061233 + 1. assign V585087 = V547245 - 1. assign V664477 = V802703 + 1. assign V106480 = V844959. assign V214914 = V128664 - 1. assign V290795 = V291021 - 1. assign V562904 = V884700 - 1. assign V829634 = V762500. assign V547245 = V305079. assign V545468 = V851710 + 1. assign V940830 = V015666 - 1. assign V015666 = V135136. assign V324718 = V802703 - 1. assign V247052 = V133146 + 1. assign V717144 = V335387 - 1. assign V335387 = V534403 + 1. assign V532928 = V514003 - 1. assign V212535 = V288950. assign V698021 = V783010 + 1. assign V924850 = V042763 - 1. assign V680439 = V357042 + 1. assign V609747 = V802703 + 1. assign V595396 = V116922. assign V347626 = V872758 + 1. assign V516904 = V832640 - 1. assign V081618 = V061233 + 1. assign V534403 = V495244 - 1. assign V979703 = V522001 + 1. assign V129072 = V401491 + 1. assign V495244 = V979703 - 1. assign V336548 = V070173. assign V340137 = V866735. assign V328689 = V595396 - 1. assign V133146 = V324718. assign V291021 = V824210 + 1. assign V277985 = V088240. assign V366775 = V924850 - 1. assign V453244 = V485526. assign V934508 = V366775. assign V126800 = V208070 - 1. assign V272199 = V069971. assign V436480 = V133146. assign V657966 = V045138. assign V118016 = V979078 + 1. assign V072344 = V060893 + 1. assign V514003 = V539666 - 1. assign V259469 = V540876 + 1. assign V289975 = V357042 - 1. assign V131052 = V212535. assign V647773 = V787835 - 1. assign V356620 = V407042 + 1. assign V413200 = V940830 + 1. assign V750858 = V881077. assign V871592 = V540434 - 1. assign V478356 = V979078. assign V058042 = V340137. assign V152396 = V319367 - 1. assign V721853 = V072344 + 1. assign V104545 = V495244 - 1. assign V802703 = V955465. assign V128664 = V247052. assign V063707 = V291021 - 1. assign V070699 = V116922 - 1. assign V757807 = V131052 + 1. assign V648498 = V881077. assign V150017 = V802703 - 1. assign V866735 = V889454 + 1. assign V054577 = V740067. assign V401491 = V495244 - 1. assign V305079 = V319367 + 1. assign V881077 = V621307 - 1. assign V762500 = V979703. assign V208070 = V081618 + 1. assign V520845 = V595396. assign V153696 = V762500 - 1. assign V851710 = V061233. assign V391319 = V495244 + 1. assign V740067 = V522001 + 1. assign V315382 = V787835. assign V592312 = V408079 + 1. assign V934034 = V680439. assign V070173 = V924850 + 1. assign V955465 = V522001. assign V279844 = V648498 - 1. assign V673314 = V522001. assign V075699 = V009132. assign V374298 = V150017 + 1. assign V141560 = V657966 + 1. assign V847085 = V335387. assign V860122 = V779806 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV889640 = 3;\n\nFrom these direct assignment(s), we have: \nV665582 = V889640 + 1 = 3 + 1 =4;\nNo other variables can be derived from V665582;\nNo other variables can be derived from V889640;\n\nNow we have done all the calculations. Derived variables are:\nV889640 = 3;\nV665582 = 4;\n\nNow we have finished this problem. ANSWER:\nV665582\n", "role": "assistant" } ]

[ "V286815" ]

[ { "content": "<context>\nassign V552122 = V373549 - 1. assign V986654 = V113427 + 1. assign V946698 = V585299 + 1. assign V249465 = V901629 + 1. assign V372284 = V967547 + 1. assign V890505 = V294514 - 1. assign V248125 = V213084 - 1. assign V509964 = V560848 - 1. assign V581064 = V609432 - 1. assign V286815 = V407105 + 1. assign V904576 = V585299 - 1. assign V053300 = V518643 + 1. assign V062239 = V148354. assign V175815 = V844778 - 1. assign V301314 = V113427 + 1. assign V217986 = V191111. assign V285293 = V103246 + 1. assign V160165 = V780721 + 1. assign V921293 = V543006 - 1. assign V055865 = V543006. assign V645953 = V262640 + 1. assign V524297 = V285293. assign V518643 = V543006 + 1. assign V401899 = V113427. assign V287539 = V670997 - 1. assign V792848 = V901629. assign V852271 = V518643. assign V649331 = V005326 + 1. assign V650863 = V248125 + 1. assign V032127 = V262640 + 1. assign V131527 = V014094. assign V086673 = V049198 - 1. assign V901629 = V113427 + 1. assign V534115 = V595902. assign V643236 = V554099. assign V495385 = V579374 - 1. assign V006003 = V379711. assign V063465 = V175815. assign V256669 = V731411. assign V748797 = V566821. assign V202871 = V301314. assign V871971 = V946698. assign V416915 = V103246 - 1. assign V014094 = V005326. assign V222624 = V006003. assign V119763 = V301314. assign V143790 = V986654 - 1. assign V350768 = V502370 + 1. assign V621450 = V585299. assign V083109 = V077312 + 1. assign V880303 = V894412. assign V366687 = V824443. assign V662039 = V032127 - 1. assign V097997 = V058995 + 1. assign V865722 = V058995 - 1. assign V502370 = V645953 - 1. assign V261811 = V621450 + 1. assign V017006 = V487231. assign V547787 = V239975 - 1. assign V748166 = V248125 + 1. assign V479603 = V379711. assign V379711 = V518643. assign V371019 = V790119 + 1. assign V921607 = V844778 - 1. assign V138974 = V937130 + 1. assign V487231 = V175815 - 1. assign V373549 = V837664 - 1. assign V957255 = V058995 + 1. assign V416727 = V986654. assign V659320 = V138974 - 1. assign V508943 = V986654 + 1. assign V609432 = V152311 + 1. assign V493174 = V837664 - 1. assign V148123 = V490695 - 1. assign V430655 = V670997 + 1. assign V329604 = V053300 - 1. assign V197704 = V373549. assign V160476 = V401899 + 1. assign V618225 = V579374 - 1. assign V324763 = V479603 - 1. assign V781845 = V824443 - 1. assign V973447 = V817980 - 1. assign V966317 = V373549 - 1. assign V280661 = V566821. assign V732734 = V490695 + 1. assign V519476 = V870883. assign V562312 = V087346 - 1. assign V058995 = V852271 - 1. assign V699433 = V733186 - 1. assign V357074 = V373549 - 1. assign V870883 = V921293. assign V191111 = V579374 - 1. assign V555723 = V966317. assign V921756 = V346797 + 1. assign V967547 = V986654 + 1. assign V407105 = 0. assign V566821 = V966317 + 1. assign V200257 = V087346 + 1. assign V780721 = V053300 + 1. assign V541836 = V504437 + 1. assign V642093 = V346797 - 1. assign V487295 = V262640 - 1. assign V070151 = V367376 + 1. assign V367376 = V055865. assign V554099 = V398938 + 1. assign V113427 = V585299 - 1. assign V169537 = V324763 - 1. assign V731411 = V901629 - 1. assign V049198 = V249465 - 1. assign V504437 = V609432. assign V148354 = V416727 - 1. assign V398938 = V062239 - 1. assign V913057 = V357074 + 1. assign V817980 = V904576 - 1. assign V886033 = V005326 - 1. assign V534028 = V543006 + 1. assign V350007 = V986654. assign V728151 = V113427 - 1. assign V670997 = V350007 - 1. assign V346797 = V416727 + 1. assign V618148 = V630323. assign V294514 = V430655 + 1. assign V855869 = V534115. assign V595902 = V865722 + 1. assign V543006 = V837664. assign V239975 = V986654. assign V894412 = V262640 - 1. assign V579374 = V093899 - 1. assign V940138 = V294514. assign V905568 = V543006. assign V093899 = V373549 - 1. assign V386097 = V222624. assign V922622 = V732734. assign V420209 = V014094 + 1. assign V824443 = V152311 + 1. assign V034885 = V350007 + 1. assign V790119 = V479603 - 1. assign V398869 = V217986. assign V072680 = V937130 - 1. assign V560848 = V372284 + 1. assign V585299 = V518643. assign V077312 = V579374 + 1. assign V213084 = V148354. assign V844778 = V373549 + 1. assign V465211 = V852271 + 1. assign V422495 = V609432. assign V152311 = V852271. assign V725179 = V913057. assign V490695 = V519476 + 1. assign V388089 = V618225 + 1. assign V400228 = V202871 - 1. assign V985377 = V780721. assign V363004 = V699433 - 1. assign V748446 = V217986 + 1. assign V937130 = V852271 - 1. assign V943529 = V372284. assign V476546 = V143790 - 1. assign V151348 = V855869 - 1. assign V103246 = V618225 - 1. assign V087346 = V256669. assign V779608 = V621450 - 1. assign V733186 = V487295 + 1. assign V005326 = V725179 + 1. assign V454908 = V034885 - 1. assign V406512 = V160476 - 1. assign V989720 = V609432 + 1. assign V630323 = V143790 + 1. assign V471479 = V852271 + 1. assign V391144 = V416915 + 1. assign V262640 = V585299 + 1. assign V009017 = V508943 - 1. assign V702767 = V790119.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V552122 = V373549 - 1. assign V986654 = V113427 + 1. assign V946698 = V585299 + 1. assign V249465 = V901629 + 1. assign V372284 = V967547 + 1. assign V890505 = V294514 - 1. assign V248125 = V213084 - 1. assign V509964 = V560848 - 1. assign V581064 = V609432 - 1. assign V286815 = V407105 + 1. assign V904576 = V585299 - 1. assign V053300 = V518643 + 1. assign V062239 = V148354. assign V175815 = V844778 - 1. assign V301314 = V113427 + 1. assign V217986 = V191111. assign V285293 = V103246 + 1. assign V160165 = V780721 + 1. assign V921293 = V543006 - 1. assign V055865 = V543006. assign V645953 = V262640 + 1. assign V524297 = V285293. assign V518643 = V543006 + 1. assign V401899 = V113427. assign V287539 = V670997 - 1. assign V792848 = V901629. assign V852271 = V518643. assign V649331 = V005326 + 1. assign V650863 = V248125 + 1. assign V032127 = V262640 + 1. assign V131527 = V014094. assign V086673 = V049198 - 1. assign V901629 = V113427 + 1. assign V534115 = V595902. assign V643236 = V554099. assign V495385 = V579374 - 1. assign V006003 = V379711. assign V063465 = V175815. assign V256669 = V731411. assign V748797 = V566821. assign V202871 = V301314. assign V871971 = V946698. assign V416915 = V103246 - 1. assign V014094 = V005326. assign V222624 = V006003. assign V119763 = V301314. assign V143790 = V986654 - 1. assign V350768 = V502370 + 1. assign V621450 = V585299. assign V083109 = V077312 + 1. assign V880303 = V894412. assign V366687 = V824443. assign V662039 = V032127 - 1. assign V097997 = V058995 + 1. assign V865722 = V058995 - 1. assign V502370 = V645953 - 1. assign V261811 = V621450 + 1. assign V017006 = V487231. assign V547787 = V239975 - 1. assign V748166 = V248125 + 1. assign V479603 = V379711. assign V379711 = V518643. assign V371019 = V790119 + 1. assign V921607 = V844778 - 1. assign V138974 = V937130 + 1. assign V487231 = V175815 - 1. assign V373549 = V837664 - 1. assign V957255 = V058995 + 1. assign V416727 = V986654. assign V659320 = V138974 - 1. assign V508943 = V986654 + 1. assign V609432 = V152311 + 1. assign V493174 = V837664 - 1. assign V148123 = V490695 - 1. assign V430655 = V670997 + 1. assign V329604 = V053300 - 1. assign V197704 = V373549. assign V160476 = V401899 + 1. assign V618225 = V579374 - 1. assign V324763 = V479603 - 1. assign V781845 = V824443 - 1. assign V973447 = V817980 - 1. assign V966317 = V373549 - 1. assign V280661 = V566821. assign V732734 = V490695 + 1. assign V519476 = V870883. assign V562312 = V087346 - 1. assign V058995 = V852271 - 1. assign V699433 = V733186 - 1. assign V357074 = V373549 - 1. assign V870883 = V921293. assign V191111 = V579374 - 1. assign V555723 = V966317. assign V921756 = V346797 + 1. assign V967547 = V986654 + 1. assign V407105 = 0. assign V566821 = V966317 + 1. assign V200257 = V087346 + 1. assign V780721 = V053300 + 1. assign V541836 = V504437 + 1. assign V642093 = V346797 - 1. assign V487295 = V262640 - 1. assign V070151 = V367376 + 1. assign V367376 = V055865. assign V554099 = V398938 + 1. assign V113427 = V585299 - 1. assign V169537 = V324763 - 1. assign V731411 = V901629 - 1. assign V049198 = V249465 - 1. assign V504437 = V609432. assign V148354 = V416727 - 1. assign V398938 = V062239 - 1. assign V913057 = V357074 + 1. assign V817980 = V904576 - 1. assign V886033 = V005326 - 1. assign V534028 = V543006 + 1. assign V350007 = V986654. assign V728151 = V113427 - 1. assign V670997 = V350007 - 1. assign V346797 = V416727 + 1. assign V618148 = V630323. assign V294514 = V430655 + 1. assign V855869 = V534115. assign V595902 = V865722 + 1. assign V543006 = V837664. assign V239975 = V986654. assign V894412 = V262640 - 1. assign V579374 = V093899 - 1. assign V940138 = V294514. assign V905568 = V543006. assign V093899 = V373549 - 1. assign V386097 = V222624. assign V922622 = V732734. assign V420209 = V014094 + 1. assign V824443 = V152311 + 1. assign V034885 = V350007 + 1. assign V790119 = V479603 - 1. assign V398869 = V217986. assign V072680 = V937130 - 1. assign V560848 = V372284 + 1. assign V585299 = V518643. assign V077312 = V579374 + 1. assign V213084 = V148354. assign V844778 = V373549 + 1. assign V465211 = V852271 + 1. assign V422495 = V609432. assign V152311 = V852271. assign V725179 = V913057. assign V490695 = V519476 + 1. assign V388089 = V618225 + 1. assign V400228 = V202871 - 1. assign V985377 = V780721. assign V363004 = V699433 - 1. assign V748446 = V217986 + 1. assign V937130 = V852271 - 1. assign V943529 = V372284. assign V476546 = V143790 - 1. assign V151348 = V855869 - 1. assign V103246 = V618225 - 1. assign V087346 = V256669. assign V779608 = V621450 - 1. assign V733186 = V487295 + 1. assign V005326 = V725179 + 1. assign V454908 = V034885 - 1. assign V406512 = V160476 - 1. assign V989720 = V609432 + 1. assign V630323 = V143790 + 1. assign V471479 = V852271 + 1. assign V391144 = V416915 + 1. assign V262640 = V585299 + 1. assign V009017 = V508943 - 1. assign V702767 = V790119.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV407105 = 0;\n\nFrom these direct assignment(s), we have: \nV286815 = V407105 + 1 = 0 + 1 =1;\nNo other variables can be derived from V286815;\nNo other variables can be derived from V407105;\n\nNow we have done all the calculations. Derived variables are:\nV407105 = 0;\nV286815 = 1;\n\nNow we have finished this problem. ANSWER:\nV286815\n", "role": "assistant" } ]

[ "V054041" ]

[ { "content": "<context>\nassign V358789 = V381391. assign V425214 = V098918 - 1. assign V091149 = V485598 - 1. assign V550394 = V829032. assign V484744 = V721603. assign V849062 = V059853. assign V754333 = V270948 + 1. assign V270948 = V849062 - 1. assign V231254 = V590653 - 1. assign V314887 = V774481. assign V602061 = V738173. assign V392913 = V425214 - 1. assign V232041 = V657441 - 1. assign V098918 = V330184 + 1. assign V709470 = V284247 + 1. assign V635573 = V945384 + 1. assign V987374 = V746177. assign V895042 = V849062 - 1. assign V369036 = V328631 - 1. assign V237982 = V070663 + 1. assign V173406 = V732197. assign V292378 = V613593. assign V634364 = V945384. assign V284247 = V827241 - 1. assign V764168 = V656735 - 1. assign V567953 = V429508 + 1. assign V483137 = V634364 + 1. assign V613593 = V551635 - 1. assign V103201 = V513472 + 1. assign V522481 = V472980. assign V957582 = V895042 + 1. assign V514629 = V809987 + 1. assign V721603 = V732197. assign V865581 = V895042. assign V333218 = V120304 + 1. assign V128285 = V333218 - 1. assign V738173 = V721603 - 1. assign V330184 = V895042 - 1. assign V774481 = V014987 + 1. assign V472980 = V567439 + 1. assign V340994 = V330184 - 1. assign V120304 = V108554 + 1. assign V841951 = V857062. assign V705583 = V849062. assign V485598 = V513472 + 1. assign V970062 = V014987. assign V380600 = V214885. assign V413883 = V120304 + 1. assign V108554 = V526940. assign V661029 = V895042 + 1. assign V014987 = V827241 + 1. assign V369579 = V746177 + 1. assign V551635 = V796366 + 1. assign V330004 = V299505 + 1. assign V969406 = V173406 - 1. assign V331214 = V513472. assign V800578 = V022968. assign V555533 = V358789 + 1. assign V322840 = V059853 + 1. assign V614106 = V646311. assign V683086 = V567439. assign V185537 = V945384 - 1. assign V831565 = V888655 + 1. assign V646311 = V330004 - 1. assign V727052 = V849062 - 1. assign V745750 = V731802. assign V359195 = V767667 - 1. assign V470143 = V059853 - 1. assign V590653 = V567439. assign V017463 = V732197. assign V598237 = V082689. assign V214885 = V567953 + 1. assign V045962 = V059853. assign V258963 = V470143 + 1. assign V380870 = V108554 + 1. assign V651598 = V340994. assign V502226 = V345932. assign V619521 = V485598 - 1. assign V150734 = V173406 - 1. assign V429508 = V727052 + 1. assign V748232 = V381391 - 1. assign V082689 = V611758 + 1. assign V656735 = V392913. assign V916309 = V634364 - 1. assign V513472 = V895042 - 1. assign V070663 = V091149. assign V834751 = V270948. assign V303004 = V567953. assign V599233 = V359195 + 1. assign V194784 = V017463. assign V341331 = V849062 - 1. assign V227583 = V865581 - 1. assign V914076 = V340994 - 1. assign V996330 = V746177 - 1. assign V027320 = V113160 + 1. assign V827241 = V849062. assign V444767 = V644608 - 1. assign V071640 = V996330 - 1. assign V934587 = V861750 + 1. assign V692646 = V091149 - 1. assign V054041 = V212989 + 1. assign V611008 = V470143. assign V345932 = V599233 - 1. assign V532564 = V330184 - 1. assign V857062 = V599233 + 1. assign V959132 = V738173. assign V731802 = V022968 - 1. assign V299505 = V014987 + 1. assign V746177 = V916309. assign V809987 = V709470 - 1. assign V391305 = V957582. assign V753396 = V699523 + 1. assign V551478 = V976304 + 1. assign V439270 = V128285 - 1. assign V116712 = V022968. assign V042876 = V341331 - 1. assign V767667 = V895042 - 1. assign V381391 = V098918 + 1. assign V022968 = V098918 - 1. assign V933703 = V022968. assign V796366 = V887175. assign V896934 = V590653 - 1. assign V273640 = V091149 - 1. assign V373621 = V059853. assign V945384 = V895042 - 1. assign V833820 = V969406. assign V248680 = V849062. assign V687884 = V709470 - 1. assign V567439 = V470143 - 1. assign V887175 = V231254 + 1. assign V146958 = V331214 + 1. assign V612172 = V722723 + 1. assign V829032 = V014987 - 1. assign V737707 = V070663 - 1. assign V657441 = V748232. assign V517045 = V827241 - 1. assign V309297 = V014987 - 1. assign V231614 = V796366 - 1. assign V862462 = V340994 - 1. assign V611758 = V284247 + 1. assign V311433 = V611758 - 1. assign V176506 = V480860. assign V179440 = V705583. assign V212989 = 6. assign V861750 = V895042 - 1. assign V155687 = V027320 + 1. assign V976304 = V699523 - 1. assign V551806 = V116712. assign V163231 = V567953 - 1. assign V113160 = V827241. assign V330210 = V173406 + 1. assign V542150 = V827241. assign V558191 = V042876. assign V607512 = V732197. assign V238202 = V829032 + 1. assign V644608 = V611008 + 1. assign V699523 = V827241 + 1. assign V437776 = V738173 + 1. assign V016776 = V022968 - 1. assign V953573 = V331214 + 1. assign V722723 = V774481. assign V888655 = V732197. assign V431511 = V699523 - 1. assign V412733 = V485598 - 1. assign V526940 = V330184 + 1. assign V716660 = V957582 - 1. assign V732197 = V849062 + 1. assign V328631 = V849062. assign V173240 = V299505 - 1. assign V642436 = V970062 + 1. assign V595672 = V381391 + 1. assign V480860 = V590653 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V358789 = V381391. assign V425214 = V098918 - 1. assign V091149 = V485598 - 1. assign V550394 = V829032. assign V484744 = V721603. assign V849062 = V059853. assign V754333 = V270948 + 1. assign V270948 = V849062 - 1. assign V231254 = V590653 - 1. assign V314887 = V774481. assign V602061 = V738173. assign V392913 = V425214 - 1. assign V232041 = V657441 - 1. assign V098918 = V330184 + 1. assign V709470 = V284247 + 1. assign V635573 = V945384 + 1. assign V987374 = V746177. assign V895042 = V849062 - 1. assign V369036 = V328631 - 1. assign V237982 = V070663 + 1. assign V173406 = V732197. assign V292378 = V613593. assign V634364 = V945384. assign V284247 = V827241 - 1. assign V764168 = V656735 - 1. assign V567953 = V429508 + 1. assign V483137 = V634364 + 1. assign V613593 = V551635 - 1. assign V103201 = V513472 + 1. assign V522481 = V472980. assign V957582 = V895042 + 1. assign V514629 = V809987 + 1. assign V721603 = V732197. assign V865581 = V895042. assign V333218 = V120304 + 1. assign V128285 = V333218 - 1. assign V738173 = V721603 - 1. assign V330184 = V895042 - 1. assign V774481 = V014987 + 1. assign V472980 = V567439 + 1. assign V340994 = V330184 - 1. assign V120304 = V108554 + 1. assign V841951 = V857062. assign V705583 = V849062. assign V485598 = V513472 + 1. assign V970062 = V014987. assign V380600 = V214885. assign V413883 = V120304 + 1. assign V108554 = V526940. assign V661029 = V895042 + 1. assign V014987 = V827241 + 1. assign V369579 = V746177 + 1. assign V551635 = V796366 + 1. assign V330004 = V299505 + 1. assign V969406 = V173406 - 1. assign V331214 = V513472. assign V800578 = V022968. assign V555533 = V358789 + 1. assign V322840 = V059853 + 1. assign V614106 = V646311. assign V683086 = V567439. assign V185537 = V945384 - 1. assign V831565 = V888655 + 1. assign V646311 = V330004 - 1. assign V727052 = V849062 - 1. assign V745750 = V731802. assign V359195 = V767667 - 1. assign V470143 = V059853 - 1. assign V590653 = V567439. assign V017463 = V732197. assign V598237 = V082689. assign V214885 = V567953 + 1. assign V045962 = V059853. assign V258963 = V470143 + 1. assign V380870 = V108554 + 1. assign V651598 = V340994. assign V502226 = V345932. assign V619521 = V485598 - 1. assign V150734 = V173406 - 1. assign V429508 = V727052 + 1. assign V748232 = V381391 - 1. assign V082689 = V611758 + 1. assign V656735 = V392913. assign V916309 = V634364 - 1. assign V513472 = V895042 - 1. assign V070663 = V091149. assign V834751 = V270948. assign V303004 = V567953. assign V599233 = V359195 + 1. assign V194784 = V017463. assign V341331 = V849062 - 1. assign V227583 = V865581 - 1. assign V914076 = V340994 - 1. assign V996330 = V746177 - 1. assign V027320 = V113160 + 1. assign V827241 = V849062. assign V444767 = V644608 - 1. assign V071640 = V996330 - 1. assign V934587 = V861750 + 1. assign V692646 = V091149 - 1. assign V054041 = V212989 + 1. assign V611008 = V470143. assign V345932 = V599233 - 1. assign V532564 = V330184 - 1. assign V857062 = V599233 + 1. assign V959132 = V738173. assign V731802 = V022968 - 1. assign V299505 = V014987 + 1. assign V746177 = V916309. assign V809987 = V709470 - 1. assign V391305 = V957582. assign V753396 = V699523 + 1. assign V551478 = V976304 + 1. assign V439270 = V128285 - 1. assign V116712 = V022968. assign V042876 = V341331 - 1. assign V767667 = V895042 - 1. assign V381391 = V098918 + 1. assign V022968 = V098918 - 1. assign V933703 = V022968. assign V796366 = V887175. assign V896934 = V590653 - 1. assign V273640 = V091149 - 1. assign V373621 = V059853. assign V945384 = V895042 - 1. assign V833820 = V969406. assign V248680 = V849062. assign V687884 = V709470 - 1. assign V567439 = V470143 - 1. assign V887175 = V231254 + 1. assign V146958 = V331214 + 1. assign V612172 = V722723 + 1. assign V829032 = V014987 - 1. assign V737707 = V070663 - 1. assign V657441 = V748232. assign V517045 = V827241 - 1. assign V309297 = V014987 - 1. assign V231614 = V796366 - 1. assign V862462 = V340994 - 1. assign V611758 = V284247 + 1. assign V311433 = V611758 - 1. assign V176506 = V480860. assign V179440 = V705583. assign V212989 = 6. assign V861750 = V895042 - 1. assign V155687 = V027320 + 1. assign V976304 = V699523 - 1. assign V551806 = V116712. assign V163231 = V567953 - 1. assign V113160 = V827241. assign V330210 = V173406 + 1. assign V542150 = V827241. assign V558191 = V042876. assign V607512 = V732197. assign V238202 = V829032 + 1. assign V644608 = V611008 + 1. assign V699523 = V827241 + 1. assign V437776 = V738173 + 1. assign V016776 = V022968 - 1. assign V953573 = V331214 + 1. assign V722723 = V774481. assign V888655 = V732197. assign V431511 = V699523 - 1. assign V412733 = V485598 - 1. assign V526940 = V330184 + 1. assign V716660 = V957582 - 1. assign V732197 = V849062 + 1. assign V328631 = V849062. assign V173240 = V299505 - 1. assign V642436 = V970062 + 1. assign V595672 = V381391 + 1. assign V480860 = V590653 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV212989 = 6;\n\nFrom these direct assignment(s), we have: \nV054041 = V212989 + 1 = 6 + 1 =7;\nNo other variables can be derived from V054041;\nNo other variables can be derived from V212989;\n\nNow we have done all the calculations. Derived variables are:\nV212989 = 6;\nV054041 = 7;\n\nNow we have finished this problem. ANSWER:\nV054041\n", "role": "assistant" } ]

[ "V732767", "V656775" ]

[ { "content": "<context>\nassign V548109 = V388926 + 1. assign V307632 = V739358 + 1. assign V721426 = V556181 - 1. assign V797059 = V319378 - 1. assign V222358 = V237299 - 1. assign V782175 = V906971. assign V693951 = V411627 - 1. assign V543047 = V097828. assign V661161 = V504367 + 1. assign V114194 = V726483 + 1. assign V580340 = V693951. assign V237299 = V307252 - 1. assign V420417 = V739261 - 1. assign V472267 = V326985 - 1. assign V768540 = V721426 + 1. assign V295698 = V643894. assign V814059 = V676297 + 1. assign V135985 = V906971 + 1. assign V978060 = V768653 - 1. assign V034010 = V237299. assign V772139 = V012350. assign V701406 = V333439 + 1. assign V350635 = V307252 + 1. assign V504367 = V041280. assign V267038 = V135977 + 1. assign V319378 = V702140 + 1. assign V634643 = V429475 - 1. assign V771796 = V768866 + 1. assign V234502 = V319556 - 1. assign V945539 = V529908 + 1. assign V952462 = V298884 + 1. assign V787066 = V869203. assign V835321 = V111537. assign V326985 = V395413 - 1. assign V922427 = V269406 - 1. assign V595899 = V797332 - 1. assign V264902 = V319378. assign V002023 = V017831. assign V559717 = V556181. assign V969698 = V688361 - 1. assign V650765 = V966454. assign V050039 = V012350 + 1. assign V768653 = V246209 - 1. assign V051054 = V060961. assign V007579 = V688071. assign V255686 = V787066 + 1. assign V269406 = V135985 - 1. assign V126360 = V608745 - 1. assign V964733 = V966454 + 1. assign V496867 = V264902 - 1. assign V333439 = V629481 + 1. assign V894064 = V027081 - 1. assign V412999 = V721426 - 1. assign V374309 = V429475. assign V422606 = V702140. assign V676297 = V610411 - 1. assign V165942 = V782175 - 1. assign V246209 = V420417 + 1. assign V942041 = V114194 + 1. assign V006291 = V952462 - 1. assign V702140 = V222358. assign V556181 = V629481 - 1. assign V213188 = V422606 + 1. assign V733497 = V721426. assign V097828 = V307632 - 1. assign V892290 = V350635 - 1. assign V889280 = V964733 + 1. assign V135977 = V395413. assign V633877 = V267038 - 1. assign V880249 = V041280. assign V418963 = V333439. assign V327611 = V739261 - 1. assign V797332 = V771796 + 1. assign V763914 = V050039 - 1. assign V557607 = V350635. assign V873085 = V981778 + 1. assign V629481 = V776683 - 1. assign V017831 = V135985 - 1. assign V395413 = V776683 - 1. assign V554832 = V135985 - 1. assign V600130 = V114194 + 1. assign V298884 = V688071. assign V646458 = V850958. assign V475400 = V006291 + 1. assign V262947 = V017831 - 1. assign V214732 = V051054 - 1. assign V906971 = V629481 - 1. assign V683213 = V394505 - 1. assign V821664 = V782175 - 1. assign V859617 = V768866 - 1. assign V394505 = V517738. assign V886337 = V559717 + 1. assign V922572 = V420417 + 1. assign V110910 = V012350 - 1. assign V041280 = V787066. assign V635187 = V504367. assign V661164 = V027081 + 1. assign V319556 = V418963. assign V133798 = V903246. assign V411627 = V739358 + 1. assign V675296 = V050039 + 1. assign V850958 = V411627 + 1. assign V570536 = V556181 - 1. assign V529908 = V395413 - 1. assign V517738 = V515712 - 1. assign V688361 = V529908 - 1. assign V538017 = V676297. assign V111537 = V787066 + 1. assign V643894 = V237299 + 1. assign V981778 = V319378. assign V893333 = V733497 - 1. assign V816787 = V255686 - 1. assign V590940 = V222358 - 1. assign V807845 = V234502 - 1. assign V060961 = V114194 - 1. assign V327795 = V246369 + 1. assign V732767 = 2. assign V717189 = V222358 - 1. assign V388926 = V726483 - 1. assign V417459 = V333439. assign V203529 = V942041. assign V547343 = V159396. assign V027081 = V429475 + 1. assign V773408 = V643894. assign V688071 = V894064. assign V832258 = V006291. assign V799134 = V319378 - 1. assign V159396 = V394505. assign V966454 = V556181. assign V768866 = V517738 + 1. assign V534103 = V159396. assign V387402 = V517738 - 1. assign V476414 = V570536 + 1. assign V320171 = V661164 - 1. assign V729972 = V643894. assign V742787 = V966454 - 1. assign V457888 = V319556 - 1. assign V869203 = V388926 - 1. assign V719273 = V429475 - 1. assign V608745 = V234502 + 1. assign V672679 = V002023 + 1. assign V383363 = V012350. assign V925767 = V319378. assign V029080 = V237299. assign V966293 = V782175 - 1. assign V417797 = V060961 - 1. assign V627769 = V966454. assign V858874 = V739261 - 1. assign V739358 = V869203 - 1. assign V311896 = V952462. assign V610411 = V383363 + 1. assign V367649 = V945539. assign V903246 = V858874. assign V726483 = V629481 - 1. assign V954105 = V418963. assign V945840 = V557607 + 1. assign V568722 = V114194 + 1. assign V429475 = V394505. assign V160330 = V726483 - 1. assign V246369 = V307252 - 1. assign V335209 = V729972. assign V739261 = V787066 - 1. assign V017189 = V017831 + 1. assign V820600 = V255686 + 1. assign V138909 = V383363 + 1. assign V656775 = V732767. assign V012350 = V429475 + 1. assign V515712 = V776683 - 1. assign V840932 = V114194 + 1. assign V307252 = V776683 - 1. assign V973271 = V135985 - 1. assign V233632 = V307632.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V548109 = V388926 + 1. assign V307632 = V739358 + 1. assign V721426 = V556181 - 1. assign V797059 = V319378 - 1. assign V222358 = V237299 - 1. assign V782175 = V906971. assign V693951 = V411627 - 1. assign V543047 = V097828. assign V661161 = V504367 + 1. assign V114194 = V726483 + 1. assign V580340 = V693951. assign V237299 = V307252 - 1. assign V420417 = V739261 - 1. assign V472267 = V326985 - 1. assign V768540 = V721426 + 1. assign V295698 = V643894. assign V814059 = V676297 + 1. assign V135985 = V906971 + 1. assign V978060 = V768653 - 1. assign V034010 = V237299. assign V772139 = V012350. assign V701406 = V333439 + 1. assign V350635 = V307252 + 1. assign V504367 = V041280. assign V267038 = V135977 + 1. assign V319378 = V702140 + 1. assign V634643 = V429475 - 1. assign V771796 = V768866 + 1. assign V234502 = V319556 - 1. assign V945539 = V529908 + 1. assign V952462 = V298884 + 1. assign V787066 = V869203. assign V835321 = V111537. assign V326985 = V395413 - 1. assign V922427 = V269406 - 1. assign V595899 = V797332 - 1. assign V264902 = V319378. assign V002023 = V017831. assign V559717 = V556181. assign V969698 = V688361 - 1. assign V650765 = V966454. assign V050039 = V012350 + 1. assign V768653 = V246209 - 1. assign V051054 = V060961. assign V007579 = V688071. assign V255686 = V787066 + 1. assign V269406 = V135985 - 1. assign V126360 = V608745 - 1. assign V964733 = V966454 + 1. assign V496867 = V264902 - 1. assign V333439 = V629481 + 1. assign V894064 = V027081 - 1. assign V412999 = V721426 - 1. assign V374309 = V429475. assign V422606 = V702140. assign V676297 = V610411 - 1. assign V165942 = V782175 - 1. assign V246209 = V420417 + 1. assign V942041 = V114194 + 1. assign V006291 = V952462 - 1. assign V702140 = V222358. assign V556181 = V629481 - 1. assign V213188 = V422606 + 1. assign V733497 = V721426. assign V097828 = V307632 - 1. assign V892290 = V350635 - 1. assign V889280 = V964733 + 1. assign V135977 = V395413. assign V633877 = V267038 - 1. assign V880249 = V041280. assign V418963 = V333439. assign V327611 = V739261 - 1. assign V797332 = V771796 + 1. assign V763914 = V050039 - 1. assign V557607 = V350635. assign V873085 = V981778 + 1. assign V629481 = V776683 - 1. assign V017831 = V135985 - 1. assign V395413 = V776683 - 1. assign V554832 = V135985 - 1. assign V600130 = V114194 + 1. assign V298884 = V688071. assign V646458 = V850958. assign V475400 = V006291 + 1. assign V262947 = V017831 - 1. assign V214732 = V051054 - 1. assign V906971 = V629481 - 1. assign V683213 = V394505 - 1. assign V821664 = V782175 - 1. assign V859617 = V768866 - 1. assign V394505 = V517738. assign V886337 = V559717 + 1. assign V922572 = V420417 + 1. assign V110910 = V012350 - 1. assign V041280 = V787066. assign V635187 = V504367. assign V661164 = V027081 + 1. assign V319556 = V418963. assign V133798 = V903246. assign V411627 = V739358 + 1. assign V675296 = V050039 + 1. assign V850958 = V411627 + 1. assign V570536 = V556181 - 1. assign V529908 = V395413 - 1. assign V517738 = V515712 - 1. assign V688361 = V529908 - 1. assign V538017 = V676297. assign V111537 = V787066 + 1. assign V643894 = V237299 + 1. assign V981778 = V319378. assign V893333 = V733497 - 1. assign V816787 = V255686 - 1. assign V590940 = V222358 - 1. assign V807845 = V234502 - 1. assign V060961 = V114194 - 1. assign V327795 = V246369 + 1. assign V732767 = 2. assign V717189 = V222358 - 1. assign V388926 = V726483 - 1. assign V417459 = V333439. assign V203529 = V942041. assign V547343 = V159396. assign V027081 = V429475 + 1. assign V773408 = V643894. assign V688071 = V894064. assign V832258 = V006291. assign V799134 = V319378 - 1. assign V159396 = V394505. assign V966454 = V556181. assign V768866 = V517738 + 1. assign V534103 = V159396. assign V387402 = V517738 - 1. assign V476414 = V570536 + 1. assign V320171 = V661164 - 1. assign V729972 = V643894. assign V742787 = V966454 - 1. assign V457888 = V319556 - 1. assign V869203 = V388926 - 1. assign V719273 = V429475 - 1. assign V608745 = V234502 + 1. assign V672679 = V002023 + 1. assign V383363 = V012350. assign V925767 = V319378. assign V029080 = V237299. assign V966293 = V782175 - 1. assign V417797 = V060961 - 1. assign V627769 = V966454. assign V858874 = V739261 - 1. assign V739358 = V869203 - 1. assign V311896 = V952462. assign V610411 = V383363 + 1. assign V367649 = V945539. assign V903246 = V858874. assign V726483 = V629481 - 1. assign V954105 = V418963. assign V945840 = V557607 + 1. assign V568722 = V114194 + 1. assign V429475 = V394505. assign V160330 = V726483 - 1. assign V246369 = V307252 - 1. assign V335209 = V729972. assign V739261 = V787066 - 1. assign V017189 = V017831 + 1. assign V820600 = V255686 + 1. assign V138909 = V383363 + 1. assign V656775 = V732767. assign V012350 = V429475 + 1. assign V515712 = V776683 - 1. assign V840932 = V114194 + 1. assign V307252 = V776683 - 1. assign V973271 = V135985 - 1. assign V233632 = V307632.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV732767 = 2;\n\nFrom these direct assignment(s), we have: \nV656775 = V732767 = 2;\nNo other variables can be derived from V656775;\nNo other variables can be derived from V732767;\n\nNow we have done all the calculations. Derived variables are:\nV732767 = 2;\nV656775 = 2;\n\nNow we have finished this problem. ANSWER:\nV732767, V656775\n", "role": "assistant" } ]

[ "V822332" ]

[ { "content": "<context>\nassign V984979 = V637573. assign V067545 = V373007. assign V301606 = V501785. assign V346309 = V857296 - 1. assign V098650 = V969987. assign V742654 = V006003 + 1. assign V673834 = V520130 - 1. assign V849141 = V097298. assign V510503 = V046828 - 1. assign V295266 = V389800. assign V855097 = V153615 - 1. assign V283972 = V625689 - 1. assign V968700 = V763508 - 1. assign V002632 = V414621. assign V656113 = V528398 + 1. assign V236414 = V369580 + 1. assign V387055 = V006003. assign V076255 = V601093 - 1. assign V725727 = V256152 + 1. assign V045110 = V601093 - 1. assign V289871 = V880384. assign V199038 = V289871 + 1. assign V389800 = V481951 - 1. assign V119823 = V413871. assign V737570 = V671229 - 1. assign V051896 = V327163 - 1. assign V803112 = V999634 - 1. assign V671229 = V046828. assign V366990 = V673834 + 1. assign V256592 = V999634. assign V309549 = V763508 + 1. assign V954815 = V046578 - 1. assign V092082 = V869058 + 1. assign V999634 = V857296 + 1. assign V880384 = V727860. assign V079059 = V637573 + 1. assign V036781 = V578464 + 1. assign V451250 = V727860. assign V622240 = V671229 + 1. assign V513382 = V301606 - 1. assign V888928 = V673834 - 1. assign V492521 = V501785 + 1. assign V830367 = V157618. assign V014305 = V623412 + 1. assign V475065 = V968700 - 1. assign V181123 = V727860. assign V073405 = V874201. assign V559977 = V625689 + 1. assign V279174 = V283972 - 1. assign V697790 = V025191 + 1. assign V369580 = V320932. assign V601093 = V518487 - 1. assign V507042 = V697790 - 1. assign V857296 = V006003. assign V181913 = V389800 + 1. assign V337735 = V423337 - 1. assign V354718 = V320932 - 1. assign V481951 = V869058 - 1. assign V277694 = V119459 + 1. assign V004941 = V984979 - 1. assign V119459 = V763508 - 1. assign V129293 = V510503 - 1. assign V713673 = V671229 - 1. assign V963439 = V807777 - 1. assign V937839 = V217152 + 1. assign V233835 = V006062 - 1. assign V405071 = V857296 + 1. assign V661922 = V119459 - 1. assign V046828 = V006003. assign V969987 = V389800. assign V992091 = V621891. assign V598726 = V855097 + 1. assign V511328 = V181123. assign V238447 = V845793 - 1. assign V383974 = V905598 + 1. assign V112828 = V831117 + 1. assign V436456 = V946047 - 1. assign V627548 = V510503. assign V448221 = V625689. assign V504106 = V598726 - 1. assign V241860 = V857296 + 1. assign V795037 = V046828 + 1. assign V674529 = V399891 - 1. assign V555818 = V228112. assign V228112 = V625689 - 1. assign V025191 = V389800 - 1. assign V799145 = V241860 + 1. assign V578464 = V046828 + 1. assign V518487 = V006003 - 1. assign V831117 = V489186 - 1. assign V153615 = V601093. assign V998704 = V763508 + 1. assign V097298 = V637936 + 1. assign V327163 = V795037 + 1. assign V623412 = V423337. assign V256152 = V601093. assign V712517 = V847641 - 1. assign V322317 = V067545 - 1. assign V211168 = V236414 - 1. assign V006003 = V869058 - 1. assign V252571 = V905598. assign V006062 = V540453 - 1. assign V194110 = V813150 - 1. assign V847641 = V601093 + 1. assign V637936 = V671229. assign V807777 = V869058. assign V795285 = V079059. assign V540453 = V874201 + 1. assign V409278 = V528398. assign V905598 = V623412. assign V331462 = V320932. assign V753309 = V601093 + 1. assign V979497 = V354718 - 1. assign V813150 = V857296. assign V657177 = V697790 + 1. assign V845793 = V748751. assign V414621 = V622240 - 1. assign V748751 = V309549 + 1. assign V830508 = V079059 + 1. assign V217152 = V387055 + 1. assign V293739 = V092082 - 1. assign V336623 = V373007 + 1. assign V373007 = V374515. assign V681806 = V999634 - 1. assign V035183 = V236414. assign V357322 = V520130 + 1. assign V625689 = V181913 + 1. assign V301397 = V501785. assign V831844 = V847641. assign V677482 = V346309 - 1. assign V811426 = V623412 - 1. assign V320932 = V857296 + 1. assign V946047 = V092082. assign V364985 = V153615 + 1. assign V567165 = V742654. assign V637573 = V217152 + 1. assign V876401 = V713673 - 1. assign V810060 = V413871 - 1. assign V621891 = V969987 - 1. assign V528398 = V389800 + 1. assign V353181 = V129293 + 1. assign V157618 = V389800. assign V763508 = V790518 + 1. assign V822332 = V124210 + 1. assign V264042 = V830508 + 1. assign V413871 = V354718. assign V231631 = V869058. assign V237452 = V637936. assign V124210 = 7. assign V874201 = V389800 - 1. assign V106969 = V742654 + 1. assign V374515 = V999634. assign V541146 = V374515. assign V198411 = V067545 + 1. assign V930739 = V006003 + 1. assign V046578 = V448221. assign V933577 = V742654 - 1. assign V800064 = V601093 + 1. assign V727860 = V601093 - 1. assign V489186 = V790518 - 1. assign V636066 = V813150 - 1. assign V423337 = V727860 + 1. assign V235236 = V032042 + 1. assign V032042 = V727860 - 1. assign V367637 = V507042. assign V399891 = V235236 + 1. assign V520130 = V874201. assign V790518 = V032042 - 1. assign V902653 = V295266 + 1. assign V743879 = V423337 - 1. assign V501785 = V006003 + 1. assign V542673 = V831844 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V984979 = V637573. assign V067545 = V373007. assign V301606 = V501785. assign V346309 = V857296 - 1. assign V098650 = V969987. assign V742654 = V006003 + 1. assign V673834 = V520130 - 1. assign V849141 = V097298. assign V510503 = V046828 - 1. assign V295266 = V389800. assign V855097 = V153615 - 1. assign V283972 = V625689 - 1. assign V968700 = V763508 - 1. assign V002632 = V414621. assign V656113 = V528398 + 1. assign V236414 = V369580 + 1. assign V387055 = V006003. assign V076255 = V601093 - 1. assign V725727 = V256152 + 1. assign V045110 = V601093 - 1. assign V289871 = V880384. assign V199038 = V289871 + 1. assign V389800 = V481951 - 1. assign V119823 = V413871. assign V737570 = V671229 - 1. assign V051896 = V327163 - 1. assign V803112 = V999634 - 1. assign V671229 = V046828. assign V366990 = V673834 + 1. assign V256592 = V999634. assign V309549 = V763508 + 1. assign V954815 = V046578 - 1. assign V092082 = V869058 + 1. assign V999634 = V857296 + 1. assign V880384 = V727860. assign V079059 = V637573 + 1. assign V036781 = V578464 + 1. assign V451250 = V727860. assign V622240 = V671229 + 1. assign V513382 = V301606 - 1. assign V888928 = V673834 - 1. assign V492521 = V501785 + 1. assign V830367 = V157618. assign V014305 = V623412 + 1. assign V475065 = V968700 - 1. assign V181123 = V727860. assign V073405 = V874201. assign V559977 = V625689 + 1. assign V279174 = V283972 - 1. assign V697790 = V025191 + 1. assign V369580 = V320932. assign V601093 = V518487 - 1. assign V507042 = V697790 - 1. assign V857296 = V006003. assign V181913 = V389800 + 1. assign V337735 = V423337 - 1. assign V354718 = V320932 - 1. assign V481951 = V869058 - 1. assign V277694 = V119459 + 1. assign V004941 = V984979 - 1. assign V119459 = V763508 - 1. assign V129293 = V510503 - 1. assign V713673 = V671229 - 1. assign V963439 = V807777 - 1. assign V937839 = V217152 + 1. assign V233835 = V006062 - 1. assign V405071 = V857296 + 1. assign V661922 = V119459 - 1. assign V046828 = V006003. assign V969987 = V389800. assign V992091 = V621891. assign V598726 = V855097 + 1. assign V511328 = V181123. assign V238447 = V845793 - 1. assign V383974 = V905598 + 1. assign V112828 = V831117 + 1. assign V436456 = V946047 - 1. assign V627548 = V510503. assign V448221 = V625689. assign V504106 = V598726 - 1. assign V241860 = V857296 + 1. assign V795037 = V046828 + 1. assign V674529 = V399891 - 1. assign V555818 = V228112. assign V228112 = V625689 - 1. assign V025191 = V389800 - 1. assign V799145 = V241860 + 1. assign V578464 = V046828 + 1. assign V518487 = V006003 - 1. assign V831117 = V489186 - 1. assign V153615 = V601093. assign V998704 = V763508 + 1. assign V097298 = V637936 + 1. assign V327163 = V795037 + 1. assign V623412 = V423337. assign V256152 = V601093. assign V712517 = V847641 - 1. assign V322317 = V067545 - 1. assign V211168 = V236414 - 1. assign V006003 = V869058 - 1. assign V252571 = V905598. assign V006062 = V540453 - 1. assign V194110 = V813150 - 1. assign V847641 = V601093 + 1. assign V637936 = V671229. assign V807777 = V869058. assign V795285 = V079059. assign V540453 = V874201 + 1. assign V409278 = V528398. assign V905598 = V623412. assign V331462 = V320932. assign V753309 = V601093 + 1. assign V979497 = V354718 - 1. assign V813150 = V857296. assign V657177 = V697790 + 1. assign V845793 = V748751. assign V414621 = V622240 - 1. assign V748751 = V309549 + 1. assign V830508 = V079059 + 1. assign V217152 = V387055 + 1. assign V293739 = V092082 - 1. assign V336623 = V373007 + 1. assign V373007 = V374515. assign V681806 = V999634 - 1. assign V035183 = V236414. assign V357322 = V520130 + 1. assign V625689 = V181913 + 1. assign V301397 = V501785. assign V831844 = V847641. assign V677482 = V346309 - 1. assign V811426 = V623412 - 1. assign V320932 = V857296 + 1. assign V946047 = V092082. assign V364985 = V153615 + 1. assign V567165 = V742654. assign V637573 = V217152 + 1. assign V876401 = V713673 - 1. assign V810060 = V413871 - 1. assign V621891 = V969987 - 1. assign V528398 = V389800 + 1. assign V353181 = V129293 + 1. assign V157618 = V389800. assign V763508 = V790518 + 1. assign V822332 = V124210 + 1. assign V264042 = V830508 + 1. assign V413871 = V354718. assign V231631 = V869058. assign V237452 = V637936. assign V124210 = 7. assign V874201 = V389800 - 1. assign V106969 = V742654 + 1. assign V374515 = V999634. assign V541146 = V374515. assign V198411 = V067545 + 1. assign V930739 = V006003 + 1. assign V046578 = V448221. assign V933577 = V742654 - 1. assign V800064 = V601093 + 1. assign V727860 = V601093 - 1. assign V489186 = V790518 - 1. assign V636066 = V813150 - 1. assign V423337 = V727860 + 1. assign V235236 = V032042 + 1. assign V032042 = V727860 - 1. assign V367637 = V507042. assign V399891 = V235236 + 1. assign V520130 = V874201. assign V790518 = V032042 - 1. assign V902653 = V295266 + 1. assign V743879 = V423337 - 1. assign V501785 = V006003 + 1. assign V542673 = V831844 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV124210 = 7;\n\nFrom these direct assignment(s), we have: \nV822332 = V124210 + 1 = 7 + 1 =8;\nNo other variables can be derived from V822332;\nNo other variables can be derived from V124210;\n\nNow we have done all the calculations. Derived variables are:\nV124210 = 7;\nV822332 = 8;\n\nNow we have finished this problem. ANSWER:\nV822332\n", "role": "assistant" } ]

[ "V439843" ]

[ { "content": "<context>\nassign V836446 = V920481. assign V103873 = V136358 - 1. assign V423634 = V711346 + 1. assign V792473 = V908307 + 1. assign V456107 = V689896 + 1. assign V546752 = V711346 - 1. assign V497548 = V260880 - 1. assign V920481 = V559591. assign V850367 = V726260 - 1. assign V981986 = V767772 - 1. assign V875508 = V812404 - 1. assign V064665 = V135519 - 1. assign V289839 = V556499 - 1. assign V042553 = V260880. assign V121259 = V546752 - 1. assign V317810 = V051907 - 1. assign V859974 = V920481. assign V162531 = V345862 - 1. assign V742113 = V830818 - 1. assign V856637 = V388773 - 1. assign V812711 = V706983 + 1. assign V116778 = V317360. assign V804787 = V546752 - 1. assign V651791 = V103873 + 1. assign V439840 = V071827. assign V649282 = V790732. assign V605212 = V830818 - 1. assign V256533 = V071827 - 1. assign V056817 = V790732 - 1. assign V486482 = V556499. assign V255652 = V258297. assign V237909 = V228401 - 1. assign V492763 = V349922 - 1. assign V767772 = V578518 + 1. assign V712147 = V295730. assign V124558 = V208811. assign V008659 = V812404. assign V357612 = V875508. assign V801987 = V559591. assign V951876 = V559591 - 1. assign V857217 = V058409 + 1. assign V790732 = V071827. assign V499571 = V124558. assign V295730 = V083487. assign V408777 = V668343 + 1. assign V469046 = V208811 - 1. assign V244375 = V480935. assign V894895 = V083487 + 1. assign V931953 = V726260 + 1. assign V116764 = V314829 - 1. assign V228401 = V486446 - 1. assign V805896 = V314829. assign V126080 = V295730. assign V793841 = V875965. assign V208811 = V790732. assign V636707 = V116100 + 1. assign V811734 = V051907 + 1. assign V347282 = V258297 - 1. assign V617414 = V103873. assign V348905 = V176367 + 1. assign V135519 = V930903 + 1. assign V260880 = V439840. assign V246075 = V830818. assign V915222 = V058409. assign V669114 = V486446 - 1. assign V812404 = V859974. assign V359420 = V349922. assign V218687 = V284986 - 1. assign V049687 = V812404. assign V801434 = V668343 + 1. assign V491344 = V689896. assign V689896 = V836446 + 1. assign V085783 = V116100 - 1. assign V111567 = V136358. assign V136358 = V875965 + 1. assign V910935 = V578518. assign V987687 = V295730 + 1. assign V362512 = V617414. assign V263268 = V857217 - 1. assign V348098 = V345862 + 1. assign V908307 = V388773 + 1. assign V719334 = V260880 - 1. assign V345862 = V930903 + 1. assign V609008 = V944122 + 1. assign V095242 = V439840 - 1. assign V317360 = V255652. assign V694184 = V951876 - 1. assign V895810 = V317810 + 1. assign V967319 = V116764 - 1. assign V652775 = V944122 + 1. assign V346933 = V341099 + 1. assign V616322 = 6. assign V276541 = V805896 - 1. assign V399546 = V475393 + 1. assign V668343 = V341099 + 1. assign V388773 = V920481. assign V533492 = V599825 - 1. assign V167914 = V362512. assign V083487 = V857217 - 1. assign V711296 = V058409 - 1. assign V191570 = V857217 - 1. assign V564687 = V930903 + 1. assign V383728 = V711346 + 1. assign V820642 = V228401 - 1. assign V570443 = V483935 - 1. assign V855341 = V341099. assign V874822 = V071827 + 1. assign V875965 = V100375 + 1. assign V486446 = V439840. assign V611561 = V263268 + 1. assign V901449 = V652775 - 1. assign V075035 = V559591. assign V454968 = V208811 - 1. assign V058409 = V071827 + 1. assign V420725 = V812404 - 1. assign V936868 = V176367 - 1. assign V830818 = V260880 - 1. assign V480935 = V492763 + 1. assign V439843 = V616322 + 1. assign V944122 = V439840 - 1. assign V116100 = V208811. assign V706983 = V609008. assign V334778 = V388773. assign V471307 = V013218 + 1. assign V556499 = V652775 - 1. assign V719141 = V875965 - 1. assign V457720 = V875508 + 1. assign V013218 = V341099. assign V585912 = V237909. assign V344709 = V801434 - 1. assign V119919 = V349922 + 1. assign V540376 = V830818 - 1. assign V599825 = V103873 + 1. assign V483935 = V347282 + 1. assign V475393 = V599825. assign V756419 = V256533 + 1. assign V954071 = V362512. assign V993982 = V116764. assign V711346 = V726260 + 1. assign V851181 = V475393 + 1. assign V159400 = V767772 - 1. assign V930903 = V046669. assign V839729 = V289839 - 1. assign V767273 = V255652 - 1. assign V666036 = V085783. assign V258297 = V486446 - 1. assign V349922 = V136358 + 1. assign V682373 = V856637 + 1. assign V046669 = V497548. assign V736256 = V049687 - 1. assign V726260 = V559591 + 1. assign V679307 = V345862. assign V559591 = V100375 - 1. assign V292257 = V993982 - 1. assign V309390 = V711296 - 1. assign V829156 = V051907 + 1. assign V476303 = V719334. assign V284986 = V609008. assign V036730 = V317810. assign V830287 = V423634. assign V341099 = V136358 - 1. assign V736600 = V218687 + 1. assign V100375 = V071827 + 1. assign V896867 = V260880 - 1. assign V517289 = V258297. assign V176367 = V726260 - 1. assign V740503 = V790732 + 1. assign V314829 = V790732 + 1. assign V051907 = V875965. assign V614260 = V836446 + 1. assign V578518 = V317810. assign V711434 = V103873.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V836446 = V920481. assign V103873 = V136358 - 1. assign V423634 = V711346 + 1. assign V792473 = V908307 + 1. assign V456107 = V689896 + 1. assign V546752 = V711346 - 1. assign V497548 = V260880 - 1. assign V920481 = V559591. assign V850367 = V726260 - 1. assign V981986 = V767772 - 1. assign V875508 = V812404 - 1. assign V064665 = V135519 - 1. assign V289839 = V556499 - 1. assign V042553 = V260880. assign V121259 = V546752 - 1. assign V317810 = V051907 - 1. assign V859974 = V920481. assign V162531 = V345862 - 1. assign V742113 = V830818 - 1. assign V856637 = V388773 - 1. assign V812711 = V706983 + 1. assign V116778 = V317360. assign V804787 = V546752 - 1. assign V651791 = V103873 + 1. assign V439840 = V071827. assign V649282 = V790732. assign V605212 = V830818 - 1. assign V256533 = V071827 - 1. assign V056817 = V790732 - 1. assign V486482 = V556499. assign V255652 = V258297. assign V237909 = V228401 - 1. assign V492763 = V349922 - 1. assign V767772 = V578518 + 1. assign V712147 = V295730. assign V124558 = V208811. assign V008659 = V812404. assign V357612 = V875508. assign V801987 = V559591. assign V951876 = V559591 - 1. assign V857217 = V058409 + 1. assign V790732 = V071827. assign V499571 = V124558. assign V295730 = V083487. assign V408777 = V668343 + 1. assign V469046 = V208811 - 1. assign V244375 = V480935. assign V894895 = V083487 + 1. assign V931953 = V726260 + 1. assign V116764 = V314829 - 1. assign V228401 = V486446 - 1. assign V805896 = V314829. assign V126080 = V295730. assign V793841 = V875965. assign V208811 = V790732. assign V636707 = V116100 + 1. assign V811734 = V051907 + 1. assign V347282 = V258297 - 1. assign V617414 = V103873. assign V348905 = V176367 + 1. assign V135519 = V930903 + 1. assign V260880 = V439840. assign V246075 = V830818. assign V915222 = V058409. assign V669114 = V486446 - 1. assign V812404 = V859974. assign V359420 = V349922. assign V218687 = V284986 - 1. assign V049687 = V812404. assign V801434 = V668343 + 1. assign V491344 = V689896. assign V689896 = V836446 + 1. assign V085783 = V116100 - 1. assign V111567 = V136358. assign V136358 = V875965 + 1. assign V910935 = V578518. assign V987687 = V295730 + 1. assign V362512 = V617414. assign V263268 = V857217 - 1. assign V348098 = V345862 + 1. assign V908307 = V388773 + 1. assign V719334 = V260880 - 1. assign V345862 = V930903 + 1. assign V609008 = V944122 + 1. assign V095242 = V439840 - 1. assign V317360 = V255652. assign V694184 = V951876 - 1. assign V895810 = V317810 + 1. assign V967319 = V116764 - 1. assign V652775 = V944122 + 1. assign V346933 = V341099 + 1. assign V616322 = 6. assign V276541 = V805896 - 1. assign V399546 = V475393 + 1. assign V668343 = V341099 + 1. assign V388773 = V920481. assign V533492 = V599825 - 1. assign V167914 = V362512. assign V083487 = V857217 - 1. assign V711296 = V058409 - 1. assign V191570 = V857217 - 1. assign V564687 = V930903 + 1. assign V383728 = V711346 + 1. assign V820642 = V228401 - 1. assign V570443 = V483935 - 1. assign V855341 = V341099. assign V874822 = V071827 + 1. assign V875965 = V100375 + 1. assign V486446 = V439840. assign V611561 = V263268 + 1. assign V901449 = V652775 - 1. assign V075035 = V559591. assign V454968 = V208811 - 1. assign V058409 = V071827 + 1. assign V420725 = V812404 - 1. assign V936868 = V176367 - 1. assign V830818 = V260880 - 1. assign V480935 = V492763 + 1. assign V439843 = V616322 + 1. assign V944122 = V439840 - 1. assign V116100 = V208811. assign V706983 = V609008. assign V334778 = V388773. assign V471307 = V013218 + 1. assign V556499 = V652775 - 1. assign V719141 = V875965 - 1. assign V457720 = V875508 + 1. assign V013218 = V341099. assign V585912 = V237909. assign V344709 = V801434 - 1. assign V119919 = V349922 + 1. assign V540376 = V830818 - 1. assign V599825 = V103873 + 1. assign V483935 = V347282 + 1. assign V475393 = V599825. assign V756419 = V256533 + 1. assign V954071 = V362512. assign V993982 = V116764. assign V711346 = V726260 + 1. assign V851181 = V475393 + 1. assign V159400 = V767772 - 1. assign V930903 = V046669. assign V839729 = V289839 - 1. assign V767273 = V255652 - 1. assign V666036 = V085783. assign V258297 = V486446 - 1. assign V349922 = V136358 + 1. assign V682373 = V856637 + 1. assign V046669 = V497548. assign V736256 = V049687 - 1. assign V726260 = V559591 + 1. assign V679307 = V345862. assign V559591 = V100375 - 1. assign V292257 = V993982 - 1. assign V309390 = V711296 - 1. assign V829156 = V051907 + 1. assign V476303 = V719334. assign V284986 = V609008. assign V036730 = V317810. assign V830287 = V423634. assign V341099 = V136358 - 1. assign V736600 = V218687 + 1. assign V100375 = V071827 + 1. assign V896867 = V260880 - 1. assign V517289 = V258297. assign V176367 = V726260 - 1. assign V740503 = V790732 + 1. assign V314829 = V790732 + 1. assign V051907 = V875965. assign V614260 = V836446 + 1. assign V578518 = V317810. assign V711434 = V103873.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV616322 = 6;\n\nFrom these direct assignment(s), we have: \nV439843 = V616322 + 1 = 6 + 1 =7;\nNo other variables can be derived from V439843;\nNo other variables can be derived from V616322;\n\nNow we have done all the calculations. Derived variables are:\nV616322 = 6;\nV439843 = 7;\n\nNow we have finished this problem. ANSWER:\nV439843\n", "role": "assistant" } ]

[ "V851359", "V674657" ]

[ { "content": "<context>\nassign V641359 = V323948 + 1. assign V868868 = V242133 + 1. assign V876135 = V703008 - 1. assign V446521 = V849248. assign V756201 = V609582 - 1. assign V973604 = V374934. assign V576351 = V043933 - 1. assign V374934 = V402451 + 1. assign V538493 = V374934. assign V291365 = V685876 + 1. assign V685876 = V400887 - 1. assign V204097 = V362949 - 1. assign V576834 = V424167 - 1. assign V937283 = V115025 + 1. assign V703008 = V583296. assign V737267 = V468658 + 1. assign V189143 = V242133. assign V221839 = V327736 - 1. assign V169204 = V567314. assign V885849 = V583296. assign V010800 = V435295 + 1. assign V468658 = V402451 + 1. assign V666027 = V041533 + 1. assign V757895 = V424167 + 1. assign V041533 = V895609. assign V107563 = V052055 + 1. assign V665944 = V912564 - 1. assign V577170 = V538493 - 1. assign V895704 = V984384 + 1. assign V654744 = V641359 - 1. assign V780995 = V291365 + 1. assign V327736 = V934167. assign V424167 = V538777 - 1. assign V895609 = V858496. assign V973836 = V303887. assign V858496 = V115025 - 1. assign V846532 = V941813 - 1. assign V714113 = V614090 - 1. assign V010214 = V242133 - 1. assign V524263 = V427821. assign V517265 = V814686 + 1. assign V457005 = V609582 + 1. assign V674657 = V851359. assign V609190 = V889251. assign V571029 = V439679 - 1. assign V516833 = V323948 - 1. assign V711285 = V079648 - 1. assign V636692 = V524263 - 1. assign V079648 = V432517 + 1. assign V405467 = V362949 + 1. assign V672406 = V609582. assign V226935 = V516833 - 1. assign V398723 = V378220. assign V941813 = V814686. assign V594977 = V672406 + 1. assign V317098 = V758690 - 1. assign V018537 = V080866. assign V400887 = V567314 + 1. assign V994330 = V934167 - 1. assign V110217 = V242133 + 1. assign V115025 = V538777 + 1. assign V639531 = V207028 - 1. assign V084993 = V432517 + 1. assign V354166 = V846532 + 1. assign V620040 = V780995 + 1. assign V242133 = V123506 + 1. assign V889251 = V432517 + 1. assign V614090 = V538777. assign V378220 = V424167 + 1. assign V567314 = V561817 - 1. assign V599924 = V362949. assign V561817 = V935478. assign V856467 = V719236 - 1. assign V928050 = V219338. assign V729655 = V340164 - 1. assign V207657 = V340164 - 1. assign V609582 = V468658 - 1. assign V101602 = V084993 + 1. assign V851359 = 9. assign V997056 = V317098 + 1. assign V894260 = V758690 + 1. assign V287223 = V381302 + 1. assign V714514 = V528496 - 1. assign V097020 = V427821 + 1. assign V712144 = V932309 + 1. assign V161381 = V252359 + 1. assign V381302 = V757895 + 1. assign V228796 = V609582 - 1. assign V244496 = V110217 - 1. assign V432517 = V599924 - 1. assign V252359 = V685876. assign V649092 = V997056 + 1. assign V303887 = V242133. assign V128289 = V614090 + 1. assign V595941 = V973836 - 1. assign V105848 = V398723 + 1. assign V890007 = V381302. assign V935478 = V757895 + 1. assign V758690 = V228796 - 1. assign V017213 = V402451 + 1. assign V845867 = V932309 + 1. assign V258856 = V714514 + 1. assign V340164 = V907147. assign V825721 = V845867 + 1. assign V894785 = V303887 - 1. assign V048202 = V845867 - 1. assign V224475 = V825721 - 1. assign V601731 = V577170. assign V719236 = V446521. assign V183349 = V973836 - 1. assign V984384 = V046545 + 1. assign V669114 = V737267 - 1. assign V986412 = V907147 + 1. assign V078847 = V567314 - 1. assign V123506 = V115025. assign V750026 = V080866 + 1. assign V362949 = V935478 + 1. assign V207028 = V468658 - 1. assign V052055 = V894260. assign V932309 = V327736 - 1. assign V268938 = V080866 - 1. assign V390599 = V303887. assign V765751 = V303887. assign V400233 = V115025 + 1. assign V451468 = V665944. assign V402451 = V538777 - 1. assign V395290 = V788807 - 1. assign V788807 = V845867. assign V046545 = V115025 - 1. assign V524351 = V712144. assign V005276 = V468658 + 1. assign V737206 = V398723 + 1. assign V907147 = V017213. assign V219338 = V196060 - 1. assign V429344 = V221839. assign V439679 = V260974 + 1. assign V745410 = V712144 - 1. assign V912564 = V115025. assign V199838 = V567314. assign V528496 = V199838 - 1. assign V814686 = V242133 + 1. assign V161593 = V327736 - 1. assign V043933 = V935478 + 1. assign V934167 = V737267. assign V793800 = V398723 + 1. assign V323948 = V934167 + 1. assign V738641 = V765751. assign V260974 = V941813 - 1. assign V080866 = V468658 - 1. assign V762514 = V169232 + 1. assign V463253 = V986412 - 1. assign V863702 = V669114. assign V735327 = V046545 + 1. assign V435295 = V737206 + 1. assign V899839 = V400887 - 1. assign V583296 = V757895 - 1. assign V747311 = V493501 + 1. assign V196060 = V189143 + 1. assign V972034 = V889251 + 1. assign V061056 = V354166 + 1. assign V449684 = V105848 + 1. assign V759332 = V189143 + 1. assign V849248 = V110217 - 1. assign V328382 = V517265 + 1. assign V427821 = V561817 + 1. assign V169232 = V235157. assign V745064 = V524263. assign V723141 = V538493. assign V823013 = V735327 - 1. assign V235157 = V107563. assign V387329 = V303887 + 1. assign V493501 = V737267 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V641359 = V323948 + 1. assign V868868 = V242133 + 1. assign V876135 = V703008 - 1. assign V446521 = V849248. assign V756201 = V609582 - 1. assign V973604 = V374934. assign V576351 = V043933 - 1. assign V374934 = V402451 + 1. assign V538493 = V374934. assign V291365 = V685876 + 1. assign V685876 = V400887 - 1. assign V204097 = V362949 - 1. assign V576834 = V424167 - 1. assign V937283 = V115025 + 1. assign V703008 = V583296. assign V737267 = V468658 + 1. assign V189143 = V242133. assign V221839 = V327736 - 1. assign V169204 = V567314. assign V885849 = V583296. assign V010800 = V435295 + 1. assign V468658 = V402451 + 1. assign V666027 = V041533 + 1. assign V757895 = V424167 + 1. assign V041533 = V895609. assign V107563 = V052055 + 1. assign V665944 = V912564 - 1. assign V577170 = V538493 - 1. assign V895704 = V984384 + 1. assign V654744 = V641359 - 1. assign V780995 = V291365 + 1. assign V327736 = V934167. assign V424167 = V538777 - 1. assign V895609 = V858496. assign V973836 = V303887. assign V858496 = V115025 - 1. assign V846532 = V941813 - 1. assign V714113 = V614090 - 1. assign V010214 = V242133 - 1. assign V524263 = V427821. assign V517265 = V814686 + 1. assign V457005 = V609582 + 1. assign V674657 = V851359. assign V609190 = V889251. assign V571029 = V439679 - 1. assign V516833 = V323948 - 1. assign V711285 = V079648 - 1. assign V636692 = V524263 - 1. assign V079648 = V432517 + 1. assign V405467 = V362949 + 1. assign V672406 = V609582. assign V226935 = V516833 - 1. assign V398723 = V378220. assign V941813 = V814686. assign V594977 = V672406 + 1. assign V317098 = V758690 - 1. assign V018537 = V080866. assign V400887 = V567314 + 1. assign V994330 = V934167 - 1. assign V110217 = V242133 + 1. assign V115025 = V538777 + 1. assign V639531 = V207028 - 1. assign V084993 = V432517 + 1. assign V354166 = V846532 + 1. assign V620040 = V780995 + 1. assign V242133 = V123506 + 1. assign V889251 = V432517 + 1. assign V614090 = V538777. assign V378220 = V424167 + 1. assign V567314 = V561817 - 1. assign V599924 = V362949. assign V561817 = V935478. assign V856467 = V719236 - 1. assign V928050 = V219338. assign V729655 = V340164 - 1. assign V207657 = V340164 - 1. assign V609582 = V468658 - 1. assign V101602 = V084993 + 1. assign V851359 = 9. assign V997056 = V317098 + 1. assign V894260 = V758690 + 1. assign V287223 = V381302 + 1. assign V714514 = V528496 - 1. assign V097020 = V427821 + 1. assign V712144 = V932309 + 1. assign V161381 = V252359 + 1. assign V381302 = V757895 + 1. assign V228796 = V609582 - 1. assign V244496 = V110217 - 1. assign V432517 = V599924 - 1. assign V252359 = V685876. assign V649092 = V997056 + 1. assign V303887 = V242133. assign V128289 = V614090 + 1. assign V595941 = V973836 - 1. assign V105848 = V398723 + 1. assign V890007 = V381302. assign V935478 = V757895 + 1. assign V758690 = V228796 - 1. assign V017213 = V402451 + 1. assign V845867 = V932309 + 1. assign V258856 = V714514 + 1. assign V340164 = V907147. assign V825721 = V845867 + 1. assign V894785 = V303887 - 1. assign V048202 = V845867 - 1. assign V224475 = V825721 - 1. assign V601731 = V577170. assign V719236 = V446521. assign V183349 = V973836 - 1. assign V984384 = V046545 + 1. assign V669114 = V737267 - 1. assign V986412 = V907147 + 1. assign V078847 = V567314 - 1. assign V123506 = V115025. assign V750026 = V080866 + 1. assign V362949 = V935478 + 1. assign V207028 = V468658 - 1. assign V052055 = V894260. assign V932309 = V327736 - 1. assign V268938 = V080866 - 1. assign V390599 = V303887. assign V765751 = V303887. assign V400233 = V115025 + 1. assign V451468 = V665944. assign V402451 = V538777 - 1. assign V395290 = V788807 - 1. assign V788807 = V845867. assign V046545 = V115025 - 1. assign V524351 = V712144. assign V005276 = V468658 + 1. assign V737206 = V398723 + 1. assign V907147 = V017213. assign V219338 = V196060 - 1. assign V429344 = V221839. assign V439679 = V260974 + 1. assign V745410 = V712144 - 1. assign V912564 = V115025. assign V199838 = V567314. assign V528496 = V199838 - 1. assign V814686 = V242133 + 1. assign V161593 = V327736 - 1. assign V043933 = V935478 + 1. assign V934167 = V737267. assign V793800 = V398723 + 1. assign V323948 = V934167 + 1. assign V738641 = V765751. assign V260974 = V941813 - 1. assign V080866 = V468658 - 1. assign V762514 = V169232 + 1. assign V463253 = V986412 - 1. assign V863702 = V669114. assign V735327 = V046545 + 1. assign V435295 = V737206 + 1. assign V899839 = V400887 - 1. assign V583296 = V757895 - 1. assign V747311 = V493501 + 1. assign V196060 = V189143 + 1. assign V972034 = V889251 + 1. assign V061056 = V354166 + 1. assign V449684 = V105848 + 1. assign V759332 = V189143 + 1. assign V849248 = V110217 - 1. assign V328382 = V517265 + 1. assign V427821 = V561817 + 1. assign V169232 = V235157. assign V745064 = V524263. assign V723141 = V538493. assign V823013 = V735327 - 1. assign V235157 = V107563. assign V387329 = V303887 + 1. assign V493501 = V737267 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV851359 = 9;\n\nFrom these direct assignment(s), we have: \nV674657 = V851359 = 9;\nNo other variables can be derived from V674657;\nNo other variables can be derived from V851359;\n\nNow we have done all the calculations. Derived variables are:\nV851359 = 9;\nV674657 = 9;\n\nNow we have finished this problem. ANSWER:\nV851359, V674657\n", "role": "assistant" } ]

[ "V298868" ]

[ { "content": "<context>\nassign V233629 = V945627. assign V320208 = V413823. assign V525747 = V396322. assign V853385 = V793136 - 1. assign V336736 = V320176 + 1. assign V086037 = V413823 + 1. assign V519096 = V509544. assign V628673 = V342670. assign V321487 = 0. assign V782668 = V413823 + 1. assign V793136 = V881125 - 1. assign V297918 = V659806. assign V979049 = V419673 - 1. assign V677743 = V803791 - 1. assign V337287 = V803791. assign V338104 = V350902 - 1. assign V355512 = V519822 - 1. assign V332923 = V105214. assign V440729 = V519822 - 1. assign V108676 = V955337 - 1. assign V241606 = V881125. assign V727902 = V084213 + 1. assign V369950 = V413823 - 1. assign V590582 = V955337. assign V676620 = V359319 - 1. assign V874222 = V336736 - 1. assign V516825 = V805758 - 1. assign V469381 = V271533 + 1. assign V558466 = V059205 - 1. assign V371887 = V350902. assign V329410 = V059205. assign V611160 = V419673 + 1. assign V716985 = V238959. assign V817770 = V040060. assign V973449 = V945627. assign V691078 = V688962 + 1. assign V526054 = V659806. assign V337260 = V790030. assign V509544 = V396322 - 1. assign V117255 = V419673 - 1. assign V217255 = V718605 - 1. assign V139129 = V578196 + 1. assign V483931 = V747596 - 1. assign V197097 = V853385 - 1. assign V817681 = V396322 - 1. assign V718605 = V326908 + 1. assign V212920 = V853385. assign V914874 = V402384 + 1. assign V811823 = V541885 + 1. assign V823942 = V881125 + 1. assign V928133 = V350902 + 1. assign V235898 = V628673 - 1. assign V230400 = V519822 + 1. assign V898401 = V519822 - 1. assign V934088 = V853385 - 1. assign V541885 = V035716 - 1. assign V915093 = V827987 - 1. assign V084213 = V669019 + 1. assign V311219 = V350902. assign V943699 = V874222. assign V696415 = V723721. assign V886746 = V805758. assign V422939 = V208423. assign V176576 = V973449 - 1. assign V232795 = V669019. assign V122647 = V920655 - 1. assign V969169 = V519096. assign V144073 = V823942 + 1. assign V449932 = V337023 + 1. assign V395425 = V996936 + 1. assign V144492 = V925488. assign V634198 = V691078. assign V422772 = V253901. assign V253901 = V413823 - 1. assign V927289 = V131823 + 1. assign V769329 = V898401 - 1. assign V890821 = V483931. assign V396322 = V253901 + 1. assign V279641 = V817681 + 1. assign V040060 = V996936 - 1. assign V904339 = V326908. assign V402384 = V469381 - 1. assign V446350 = V422939 + 1. assign V283799 = V253901 + 1. assign V803791 = V440729 + 1. assign V224662 = V063659 + 1. assign V945369 = V716985 + 1. assign V347914 = V336736 + 1. assign V535488 = V105214 - 1. assign V653237 = V059205 + 1. assign V925488 = V035716 - 1. assign V041211 = V898401 + 1. assign V613090 = V350902 - 1. assign V688962 = V253901 - 1. assign V069304 = V898401 - 1. assign V669019 = V803791 - 1. assign V054476 = V176576 + 1. assign V456004 = V069304 - 1. assign V708745 = V996936 + 1. assign V326908 = V782668. assign V602088 = V848815. assign V208423 = V084213. assign V035601 = V823942 - 1. assign V035716 = V769329 + 1. assign V157762 = V793136 + 1. assign V805758 = V048890 + 1. assign V063659 = V413823 - 1. assign V131823 = V688962 - 1. assign V715730 = V230400 - 1. assign V337023 = V747596. assign V066002 = V396322. assign V878950 = V920655 + 1. assign V548770 = V143317. assign V503066 = V790030. assign V683434 = V669019 + 1. assign V342018 = V817681 + 1. assign V881125 = V326908. assign V837748 = V827987 + 1. assign V048890 = V716985. assign V271533 = V232795. assign V472689 = V084213 + 1. assign V105214 = V898401 + 1. assign V920655 = V790030. assign V413380 = V516825 + 1. assign V578196 = V059205 + 1. assign V560611 = V396322 + 1. assign V278383 = V519096 + 1. assign V114257 = V338104 + 1. assign V747878 = V122647 - 1. assign V823325 = V519822. assign V059205 = V716985. assign V773545 = V782668 + 1. assign V350902 = V422772 + 1. assign V025045 = V516825. assign V748187 = V925488 - 1. assign V235670 = V122647. assign V169577 = V747596 + 1. assign V605419 = V853385 + 1. assign V723721 = V920655 - 1. assign V292488 = V157762 - 1. assign V002137 = V040060 + 1. assign V827987 = V955337 - 1. assign V955337 = V320176. assign V298868 = V321487 + 1. assign V320176 = V691078. assign V747596 = V320208. assign V143317 = V805758. assign V359319 = V131823 - 1. assign V194234 = V628673 - 1. assign V704127 = V898401 + 1. assign V659806 = V396322. assign V869295 = V793136 + 1. assign V790030 = V874222 - 1. assign V419673 = V920655 - 1. assign V848815 = V928133 + 1. assign V122510 = V413823 - 1. assign V342670 = V898401 + 1. assign V238959 = V519822 - 1. assign V996936 = V898401 + 1. assign V273336 = V084213 + 1. assign V648042 = V716985 + 1. assign V945627 = V297918 - 1. assign V519822 = V253901 + 1. assign V467381 = V945369 + 1. assign V713556 = V677743. assign V046808 = V347914 + 1. assign V954744 = V469381 - 1. assign V205966 = V769329. assign V283272 = V996936. assign V893973 = V422772 + 1. assign V110662 = V169577. assign V918436 = V241606 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V233629 = V945627. assign V320208 = V413823. assign V525747 = V396322. assign V853385 = V793136 - 1. assign V336736 = V320176 + 1. assign V086037 = V413823 + 1. assign V519096 = V509544. assign V628673 = V342670. assign V321487 = 0. assign V782668 = V413823 + 1. assign V793136 = V881125 - 1. assign V297918 = V659806. assign V979049 = V419673 - 1. assign V677743 = V803791 - 1. assign V337287 = V803791. assign V338104 = V350902 - 1. assign V355512 = V519822 - 1. assign V332923 = V105214. assign V440729 = V519822 - 1. assign V108676 = V955337 - 1. assign V241606 = V881125. assign V727902 = V084213 + 1. assign V369950 = V413823 - 1. assign V590582 = V955337. assign V676620 = V359319 - 1. assign V874222 = V336736 - 1. assign V516825 = V805758 - 1. assign V469381 = V271533 + 1. assign V558466 = V059205 - 1. assign V371887 = V350902. assign V329410 = V059205. assign V611160 = V419673 + 1. assign V716985 = V238959. assign V817770 = V040060. assign V973449 = V945627. assign V691078 = V688962 + 1. assign V526054 = V659806. assign V337260 = V790030. assign V509544 = V396322 - 1. assign V117255 = V419673 - 1. assign V217255 = V718605 - 1. assign V139129 = V578196 + 1. assign V483931 = V747596 - 1. assign V197097 = V853385 - 1. assign V817681 = V396322 - 1. assign V718605 = V326908 + 1. assign V212920 = V853385. assign V914874 = V402384 + 1. assign V811823 = V541885 + 1. assign V823942 = V881125 + 1. assign V928133 = V350902 + 1. assign V235898 = V628673 - 1. assign V230400 = V519822 + 1. assign V898401 = V519822 - 1. assign V934088 = V853385 - 1. assign V541885 = V035716 - 1. assign V915093 = V827987 - 1. assign V084213 = V669019 + 1. assign V311219 = V350902. assign V943699 = V874222. assign V696415 = V723721. assign V886746 = V805758. assign V422939 = V208423. assign V176576 = V973449 - 1. assign V232795 = V669019. assign V122647 = V920655 - 1. assign V969169 = V519096. assign V144073 = V823942 + 1. assign V449932 = V337023 + 1. assign V395425 = V996936 + 1. assign V144492 = V925488. assign V634198 = V691078. assign V422772 = V253901. assign V253901 = V413823 - 1. assign V927289 = V131823 + 1. assign V769329 = V898401 - 1. assign V890821 = V483931. assign V396322 = V253901 + 1. assign V279641 = V817681 + 1. assign V040060 = V996936 - 1. assign V904339 = V326908. assign V402384 = V469381 - 1. assign V446350 = V422939 + 1. assign V283799 = V253901 + 1. assign V803791 = V440729 + 1. assign V224662 = V063659 + 1. assign V945369 = V716985 + 1. assign V347914 = V336736 + 1. assign V535488 = V105214 - 1. assign V653237 = V059205 + 1. assign V925488 = V035716 - 1. assign V041211 = V898401 + 1. assign V613090 = V350902 - 1. assign V688962 = V253901 - 1. assign V069304 = V898401 - 1. assign V669019 = V803791 - 1. assign V054476 = V176576 + 1. assign V456004 = V069304 - 1. assign V708745 = V996936 + 1. assign V326908 = V782668. assign V602088 = V848815. assign V208423 = V084213. assign V035601 = V823942 - 1. assign V035716 = V769329 + 1. assign V157762 = V793136 + 1. assign V805758 = V048890 + 1. assign V063659 = V413823 - 1. assign V131823 = V688962 - 1. assign V715730 = V230400 - 1. assign V337023 = V747596. assign V066002 = V396322. assign V878950 = V920655 + 1. assign V548770 = V143317. assign V503066 = V790030. assign V683434 = V669019 + 1. assign V342018 = V817681 + 1. assign V881125 = V326908. assign V837748 = V827987 + 1. assign V048890 = V716985. assign V271533 = V232795. assign V472689 = V084213 + 1. assign V105214 = V898401 + 1. assign V920655 = V790030. assign V413380 = V516825 + 1. assign V578196 = V059205 + 1. assign V560611 = V396322 + 1. assign V278383 = V519096 + 1. assign V114257 = V338104 + 1. assign V747878 = V122647 - 1. assign V823325 = V519822. assign V059205 = V716985. assign V773545 = V782668 + 1. assign V350902 = V422772 + 1. assign V025045 = V516825. assign V748187 = V925488 - 1. assign V235670 = V122647. assign V169577 = V747596 + 1. assign V605419 = V853385 + 1. assign V723721 = V920655 - 1. assign V292488 = V157762 - 1. assign V002137 = V040060 + 1. assign V827987 = V955337 - 1. assign V955337 = V320176. assign V298868 = V321487 + 1. assign V320176 = V691078. assign V747596 = V320208. assign V143317 = V805758. assign V359319 = V131823 - 1. assign V194234 = V628673 - 1. assign V704127 = V898401 + 1. assign V659806 = V396322. assign V869295 = V793136 + 1. assign V790030 = V874222 - 1. assign V419673 = V920655 - 1. assign V848815 = V928133 + 1. assign V122510 = V413823 - 1. assign V342670 = V898401 + 1. assign V238959 = V519822 - 1. assign V996936 = V898401 + 1. assign V273336 = V084213 + 1. assign V648042 = V716985 + 1. assign V945627 = V297918 - 1. assign V519822 = V253901 + 1. assign V467381 = V945369 + 1. assign V713556 = V677743. assign V046808 = V347914 + 1. assign V954744 = V469381 - 1. assign V205966 = V769329. assign V283272 = V996936. assign V893973 = V422772 + 1. assign V110662 = V169577. assign V918436 = V241606 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV321487 = 0;\n\nFrom these direct assignment(s), we have: \nV298868 = V321487 + 1 = 0 + 1 =1;\nNo other variables can be derived from V298868;\nNo other variables can be derived from V321487;\n\nNow we have done all the calculations. Derived variables are:\nV321487 = 0;\nV298868 = 1;\n\nNow we have finished this problem. ANSWER:\nV298868\n", "role": "assistant" } ]

[ "V205456" ]

[ { "content": "<context>\nassign V641343 = V510347. assign V262575 = V916064 + 1. assign V237517 = V114080 + 1. assign V741088 = V055798 + 1. assign V701612 = V218044 - 1. assign V774299 = V635158. assign V983781 = V177634. assign V862747 = V021489 - 1. assign V285558 = V525584 + 1. assign V565564 = V626699 - 1. assign V070206 = V626699 - 1. assign V259598 = V223964 + 1. assign V946558 = V203886 - 1. assign V471871 = V862747. assign V868553 = V626699 + 1. assign V716839 = V509444 + 1. assign V410741 = V641343. assign V525150 = V719462 + 1. assign V570442 = V021489. assign V918503 = V701612 - 1. assign V505967 = V389039. assign V509444 = V482261 + 1. assign V635158 = V482261 - 1. assign V825988 = V504924 - 1. assign V534044 = V223964 + 1. assign V965945 = V203886 - 1. assign V205456 = 9. assign V132915 = V741088 - 1. assign V956267 = V680620 - 1. assign V238074 = V634359. assign V303801 = V910092 + 1. assign V283765 = V789393 + 1. assign V719462 = V539877. assign V361635 = V626699. assign V626699 = V478342 - 1. assign V974259 = V635158 - 1. assign V244211 = V536218 - 1. assign V808248 = V451656. assign V680620 = V473063 - 1. assign V491899 = V238074 + 1. assign V536218 = V680620 - 1. assign V389039 = V225401 - 1. assign V459098 = V218044 + 1. assign V195596 = V262575 + 1. assign V425796 = V454256. assign V520112 = V203886 - 1. assign V611836 = V421925 - 1. assign V989353 = V279134 + 1. assign V539877 = V361635 - 1. assign V451656 = V223964 - 1. assign V917424 = V910092 + 1. assign V781536 = V965945 - 1. assign V622061 = V525584 + 1. assign V910092 = V593739 + 1. assign V593739 = V223964 - 1. assign V427063 = V504924. assign V898286 = V622061 - 1. assign V444657 = V536218 + 1. assign V510347 = V482261 + 1. assign V927994 = V804219 - 1. assign V203886 = V933143. assign V651296 = V459098. assign V893842 = V808248 + 1. assign V396811 = V193957. assign V955638 = V764490 + 1. assign V218044 = V916064. assign V182058 = V482678. assign V645938 = V716839. assign V611368 = V482261 - 1. assign V391538 = V494100. assign V454256 = V482261. assign V916161 = V473063 + 1. assign V403818 = V036150. assign V525584 = V279134 + 1. assign V917819 = V451656 + 1. assign V421925 = V471871. assign V529546 = V635158 + 1. assign V634359 = V203886 - 1. assign V528258 = V021489 - 1. assign V558303 = V774299 - 1. assign V823590 = V933143 - 1. assign V021489 = V478342 - 1. assign V599572 = V205456 + 1. assign V800020 = V473063 - 1. assign V253466 = V200917 - 1. assign V355419 = V021489. assign V272249 = V057285 - 1. assign V421454 = V021489. assign V223964 = V933143 - 1. assign V494100 = V645938. assign V370053 = V411121. assign V225401 = V478342 + 1. assign V767929 = V971603 + 1. assign V917861 = V781565 + 1. assign V988627 = V395301 + 1. assign V916064 = V482261. assign V732392 = V259598. assign V357565 = V080797 + 1. assign V168761 = V112657. assign V446352 = V357565 - 1. assign V774499 = V741088. assign V482678 = V529546. assign V427439 = V505967. assign V267306 = V451656 + 1. assign V516144 = V427439 - 1. assign V395301 = V808248 - 1. assign V918318 = V509444. assign V134381 = V494100. assign V804219 = V279134. assign V080797 = V933143 - 1. assign V909533 = V916064 + 1. assign V803834 = V933143 - 1. assign V588710 = V869022 + 1. assign V925206 = V425796. assign V868314 = V565564 - 1. assign V785099 = V177634. assign V193365 = V744032. assign V187228 = V862747. assign V731986 = V772108 + 1. assign V880565 = V916064 - 1. assign V258785 = V716839 - 1. assign V585426 = V697255. assign V161004 = V680620 - 1. assign V478342 = V933143 + 1. assign V177634 = V451656 - 1. assign V482261 = V279134. assign V114080 = V574840 + 1. assign V880750 = V716839 - 1. assign V789393 = V862747 + 1. assign V574840 = V974259 + 1. assign V756836 = V593739 - 1. assign V036150 = V223964 + 1. assign V687795 = V504924 + 1. assign V971603 = V454256 - 1. assign V320829 = V989353. assign V704613 = V004956 - 1. assign V218285 = V611368. assign V281483 = V764490 - 1. assign V933143 = V525584 - 1. assign V718271 = V055798 - 1. assign V981720 = V451656. assign V600776 = V381178. assign V055788 = V626699 - 1. assign V869022 = V112657. assign V055798 = V764490 + 1. assign V372678 = V238074 - 1. assign V381178 = V203886 + 1. assign V772108 = V283765 - 1. assign V874103 = V285558. assign V634945 = V478342 - 1. assign V004956 = V910092 + 1. assign V969968 = V112657 - 1. assign V193957 = V917819 + 1. assign V200917 = V381178 - 1. assign V984887 = V238074 - 1. assign V764490 = V080797 - 1. assign V473063 = V021489 + 1. assign V973672 = V680620 + 1. assign V057285 = V645938 + 1. assign V781565 = V482261 + 1. assign V395425 = V303801 + 1. assign V796503 = V225401. assign V411121 = V803834 - 1. assign V031146 = V203886 + 1. assign V504924 = V218044. assign V744032 = V238074. assign V697255 = V187228 + 1. assign V112657 = V223964. assign V772299 = V716839 + 1. assign V379332 = V510347 + 1. assign V168716 = V626699 + 1. assign V662679 = V411121.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V641343 = V510347. assign V262575 = V916064 + 1. assign V237517 = V114080 + 1. assign V741088 = V055798 + 1. assign V701612 = V218044 - 1. assign V774299 = V635158. assign V983781 = V177634. assign V862747 = V021489 - 1. assign V285558 = V525584 + 1. assign V565564 = V626699 - 1. assign V070206 = V626699 - 1. assign V259598 = V223964 + 1. assign V946558 = V203886 - 1. assign V471871 = V862747. assign V868553 = V626699 + 1. assign V716839 = V509444 + 1. assign V410741 = V641343. assign V525150 = V719462 + 1. assign V570442 = V021489. assign V918503 = V701612 - 1. assign V505967 = V389039. assign V509444 = V482261 + 1. assign V635158 = V482261 - 1. assign V825988 = V504924 - 1. assign V534044 = V223964 + 1. assign V965945 = V203886 - 1. assign V205456 = 9. assign V132915 = V741088 - 1. assign V956267 = V680620 - 1. assign V238074 = V634359. assign V303801 = V910092 + 1. assign V283765 = V789393 + 1. assign V719462 = V539877. assign V361635 = V626699. assign V626699 = V478342 - 1. assign V974259 = V635158 - 1. assign V244211 = V536218 - 1. assign V808248 = V451656. assign V680620 = V473063 - 1. assign V491899 = V238074 + 1. assign V536218 = V680620 - 1. assign V389039 = V225401 - 1. assign V459098 = V218044 + 1. assign V195596 = V262575 + 1. assign V425796 = V454256. assign V520112 = V203886 - 1. assign V611836 = V421925 - 1. assign V989353 = V279134 + 1. assign V539877 = V361635 - 1. assign V451656 = V223964 - 1. assign V917424 = V910092 + 1. assign V781536 = V965945 - 1. assign V622061 = V525584 + 1. assign V910092 = V593739 + 1. assign V593739 = V223964 - 1. assign V427063 = V504924. assign V898286 = V622061 - 1. assign V444657 = V536218 + 1. assign V510347 = V482261 + 1. assign V927994 = V804219 - 1. assign V203886 = V933143. assign V651296 = V459098. assign V893842 = V808248 + 1. assign V396811 = V193957. assign V955638 = V764490 + 1. assign V218044 = V916064. assign V182058 = V482678. assign V645938 = V716839. assign V611368 = V482261 - 1. assign V391538 = V494100. assign V454256 = V482261. assign V916161 = V473063 + 1. assign V403818 = V036150. assign V525584 = V279134 + 1. assign V917819 = V451656 + 1. assign V421925 = V471871. assign V529546 = V635158 + 1. assign V634359 = V203886 - 1. assign V528258 = V021489 - 1. assign V558303 = V774299 - 1. assign V823590 = V933143 - 1. assign V021489 = V478342 - 1. assign V599572 = V205456 + 1. assign V800020 = V473063 - 1. assign V253466 = V200917 - 1. assign V355419 = V021489. assign V272249 = V057285 - 1. assign V421454 = V021489. assign V223964 = V933143 - 1. assign V494100 = V645938. assign V370053 = V411121. assign V225401 = V478342 + 1. assign V767929 = V971603 + 1. assign V917861 = V781565 + 1. assign V988627 = V395301 + 1. assign V916064 = V482261. assign V732392 = V259598. assign V357565 = V080797 + 1. assign V168761 = V112657. assign V446352 = V357565 - 1. assign V774499 = V741088. assign V482678 = V529546. assign V427439 = V505967. assign V267306 = V451656 + 1. assign V516144 = V427439 - 1. assign V395301 = V808248 - 1. assign V918318 = V509444. assign V134381 = V494100. assign V804219 = V279134. assign V080797 = V933143 - 1. assign V909533 = V916064 + 1. assign V803834 = V933143 - 1. assign V588710 = V869022 + 1. assign V925206 = V425796. assign V868314 = V565564 - 1. assign V785099 = V177634. assign V193365 = V744032. assign V187228 = V862747. assign V731986 = V772108 + 1. assign V880565 = V916064 - 1. assign V258785 = V716839 - 1. assign V585426 = V697255. assign V161004 = V680620 - 1. assign V478342 = V933143 + 1. assign V177634 = V451656 - 1. assign V482261 = V279134. assign V114080 = V574840 + 1. assign V880750 = V716839 - 1. assign V789393 = V862747 + 1. assign V574840 = V974259 + 1. assign V756836 = V593739 - 1. assign V036150 = V223964 + 1. assign V687795 = V504924 + 1. assign V971603 = V454256 - 1. assign V320829 = V989353. assign V704613 = V004956 - 1. assign V218285 = V611368. assign V281483 = V764490 - 1. assign V933143 = V525584 - 1. assign V718271 = V055798 - 1. assign V981720 = V451656. assign V600776 = V381178. assign V055788 = V626699 - 1. assign V869022 = V112657. assign V055798 = V764490 + 1. assign V372678 = V238074 - 1. assign V381178 = V203886 + 1. assign V772108 = V283765 - 1. assign V874103 = V285558. assign V634945 = V478342 - 1. assign V004956 = V910092 + 1. assign V969968 = V112657 - 1. assign V193957 = V917819 + 1. assign V200917 = V381178 - 1. assign V984887 = V238074 - 1. assign V764490 = V080797 - 1. assign V473063 = V021489 + 1. assign V973672 = V680620 + 1. assign V057285 = V645938 + 1. assign V781565 = V482261 + 1. assign V395425 = V303801 + 1. assign V796503 = V225401. assign V411121 = V803834 - 1. assign V031146 = V203886 + 1. assign V504924 = V218044. assign V744032 = V238074. assign V697255 = V187228 + 1. assign V112657 = V223964. assign V772299 = V716839 + 1. assign V379332 = V510347 + 1. assign V168716 = V626699 + 1. assign V662679 = V411121.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV205456 = 9;\n\nFrom these direct assignment(s), we have: \nV599572 = V205456 + 1 = 9 + 1 =10;\nNo other variables can be derived from V599572;\nNo other variables can be derived from V205456;\n\nNow we have done all the calculations. Derived variables are:\nV205456 = 9;\nV599572 = 10;\n\nNow we have finished this problem. ANSWER:\nV205456\n", "role": "assistant" } ]

[ "V046304" ]

[ { "content": "<context>\nassign V178165 = V166399. assign V514863 = V680807 - 1. assign V332079 = V500285 - 1. assign V982646 = V608126. assign V328917 = V566554 + 1. assign V807728 = V045784. assign V392116 = V401196. assign V685453 = V103043 + 1. assign V647793 = V424236 + 1. assign V500448 = V996043 - 1. assign V489258 = V343606. assign V604066 = V453914 + 1. assign V960350 = V820960. assign V032119 = V333833 - 1. assign V566554 = V680807 + 1. assign V973836 = V626282 + 1. assign V318032 = V514863. assign V608126 = V566554 - 1. assign V047985 = V821988 + 1. assign V450405 = V976760. assign V101739 = V647793 + 1. assign V021372 = V725432 - 1. assign V916166 = V331377. assign V103043 = V720104 - 1. assign V201661 = V343606 - 1. assign V096307 = V748314 + 1. assign V119018 = V841504 - 1. assign V626282 = V103043. assign V907447 = V948819 + 1. assign V680807 = V200116 - 1. assign V046304 = 5. assign V350577 = V045319. assign V027015 = V371823 - 1. assign V954452 = V055695. assign V706592 = V210529 - 1. assign V880809 = V722333. assign V023697 = V936196. assign V333833 = V757960 - 1. assign V720104 = V146910 + 1. assign V777630 = V034737. assign V414220 = V626282 - 1. assign V340863 = V986630 + 1. assign V034737 = V021372. assign V581467 = V410248. assign V733287 = V411306. assign V936196 = V318032 + 1. assign V241141 = V841504 - 1. assign V726609 = V005616 - 1. assign V422890 = V996370 + 1. assign V262092 = V477948 - 1. assign V722333 = V119018. assign V665801 = V183440 - 1. assign V874136 = V055695 + 1. assign V660551 = V413206 + 1. assign V012818 = V477948. assign V045784 = V477948 + 1. assign V118630 = V231762 - 1. assign V526974 = V021372 - 1. assign V134797 = V744521 + 1. assign V118443 = V103043 + 1. assign V568537 = V194702 + 1. assign V057666 = V231762 - 1. assign V716405 = V477948 - 1. assign V459084 = V119018 + 1. assign V569610 = V725432 - 1. assign V767770 = V459084 - 1. assign V518092 = V045319 + 1. assign V530362 = V241141 - 1. assign V144322 = V057666. assign V744521 = V841504. assign V058249 = V146910. assign V055695 = V225563 + 1. assign V567400 = V192184 - 1. assign V748264 = V863261 - 1. assign V870519 = V231762 - 1. assign V863103 = V424236 - 1. assign V044128 = V200116. assign V159257 = V411306 - 1. assign V234877 = V024115. assign V831130 = V453914 - 1. assign V764832 = V550506. assign V410248 = V262092 + 1. assign V500285 = V841504. assign V273021 = V103043 + 1. assign V802569 = V685453. assign V194702 = V200116 + 1. assign V948356 = V200116. assign V521066 = V744521 + 1. assign V978885 = V010328 - 1. assign V146910 = V477948. assign V254950 = V996043 - 1. assign V166399 = V085352 - 1. assign V333890 = V884783. assign V165496 = V046304 + 1. assign V310412 = V530362. assign V509119 = V021372 + 1. assign V820960 = V273021 + 1. assign V005616 = V836641. assign V630877 = V874136. assign V453914 = V566554. assign V657571 = V477948 + 1. assign V568213 = V530362 + 1. assign V884783 = V514863 - 1. assign V908420 = V414220 - 1. assign V331377 = V647793 + 1. assign V821988 = V550506. assign V976760 = V103043 + 1. assign V413206 = V231762 - 1. assign V045319 = V146910. assign V200116 = V550506 + 1. assign V757960 = V146910. assign V941737 = V757960. assign V480985 = V608126 + 1. assign V192184 = V241141 + 1. assign V605332 = V764832 + 1. assign V495237 = V371823. assign V748314 = V836641 + 1. assign V006695 = V550506. assign V210529 = V401196 - 1. assign V986630 = V045319 - 1. assign V435857 = V453914. assign V902901 = V733287 - 1. assign V267917 = V720104. assign V591373 = V884783. assign V120310 = V528029. assign V996043 = V477948. assign V085352 = V726609 + 1. assign V528029 = V880809 + 1. assign V401196 = V566554 - 1. assign V411306 = V055695 + 1. assign V910443 = V799529 + 1. assign V371823 = V104570 - 1. assign V648699 = V044128 - 1. assign V424236 = V757960 + 1. assign V677488 = V720104 + 1. assign V403120 = V477948. assign V413488 = V194702 - 1. assign V231762 = V200116 - 1. assign V719920 = V045784 - 1. assign V948819 = V045784 - 1. assign V024115 = V720104 - 1. assign V165650 = V744521. assign V725432 = V424236 + 1. assign V054622 = V225563 - 1. assign V104570 = V055695 - 1. assign V183440 = V744521 + 1. assign V806367 = V332079 + 1. assign V836641 = V685453 - 1. assign V230043 = V677488 - 1. assign V462096 = V802569. assign V416084 = V200116 - 1. assign V352827 = V210529. assign V010328 = V836641 - 1. assign V863261 = V820960. assign V659049 = V605332 - 1. assign V843068 = V200116 + 1. assign V996370 = V647793. assign V479828 = V960350. assign V404849 = V453914 + 1. assign V170009 = V863103 - 1. assign V528108 = V045784. assign V799529 = V836641. assign V841504 = V720104. assign V343606 = V716405 - 1. assign V525922 = V416084 + 1. assign V300824 = V194702 - 1. assign V705891 = V821988 - 1. assign V225563 = V863103 + 1. assign V550506 = V720104 - 1. assign V531194 = V119018 + 1. assign V041667 = V648699 - 1. assign V276613 = V225563 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V178165 = V166399. assign V514863 = V680807 - 1. assign V332079 = V500285 - 1. assign V982646 = V608126. assign V328917 = V566554 + 1. assign V807728 = V045784. assign V392116 = V401196. assign V685453 = V103043 + 1. assign V647793 = V424236 + 1. assign V500448 = V996043 - 1. assign V489258 = V343606. assign V604066 = V453914 + 1. assign V960350 = V820960. assign V032119 = V333833 - 1. assign V566554 = V680807 + 1. assign V973836 = V626282 + 1. assign V318032 = V514863. assign V608126 = V566554 - 1. assign V047985 = V821988 + 1. assign V450405 = V976760. assign V101739 = V647793 + 1. assign V021372 = V725432 - 1. assign V916166 = V331377. assign V103043 = V720104 - 1. assign V201661 = V343606 - 1. assign V096307 = V748314 + 1. assign V119018 = V841504 - 1. assign V626282 = V103043. assign V907447 = V948819 + 1. assign V680807 = V200116 - 1. assign V046304 = 5. assign V350577 = V045319. assign V027015 = V371823 - 1. assign V954452 = V055695. assign V706592 = V210529 - 1. assign V880809 = V722333. assign V023697 = V936196. assign V333833 = V757960 - 1. assign V720104 = V146910 + 1. assign V777630 = V034737. assign V414220 = V626282 - 1. assign V340863 = V986630 + 1. assign V034737 = V021372. assign V581467 = V410248. assign V733287 = V411306. assign V936196 = V318032 + 1. assign V241141 = V841504 - 1. assign V726609 = V005616 - 1. assign V422890 = V996370 + 1. assign V262092 = V477948 - 1. assign V722333 = V119018. assign V665801 = V183440 - 1. assign V874136 = V055695 + 1. assign V660551 = V413206 + 1. assign V012818 = V477948. assign V045784 = V477948 + 1. assign V118630 = V231762 - 1. assign V526974 = V021372 - 1. assign V134797 = V744521 + 1. assign V118443 = V103043 + 1. assign V568537 = V194702 + 1. assign V057666 = V231762 - 1. assign V716405 = V477948 - 1. assign V459084 = V119018 + 1. assign V569610 = V725432 - 1. assign V767770 = V459084 - 1. assign V518092 = V045319 + 1. assign V530362 = V241141 - 1. assign V144322 = V057666. assign V744521 = V841504. assign V058249 = V146910. assign V055695 = V225563 + 1. assign V567400 = V192184 - 1. assign V748264 = V863261 - 1. assign V870519 = V231762 - 1. assign V863103 = V424236 - 1. assign V044128 = V200116. assign V159257 = V411306 - 1. assign V234877 = V024115. assign V831130 = V453914 - 1. assign V764832 = V550506. assign V410248 = V262092 + 1. assign V500285 = V841504. assign V273021 = V103043 + 1. assign V802569 = V685453. assign V194702 = V200116 + 1. assign V948356 = V200116. assign V521066 = V744521 + 1. assign V978885 = V010328 - 1. assign V146910 = V477948. assign V254950 = V996043 - 1. assign V166399 = V085352 - 1. assign V333890 = V884783. assign V165496 = V046304 + 1. assign V310412 = V530362. assign V509119 = V021372 + 1. assign V820960 = V273021 + 1. assign V005616 = V836641. assign V630877 = V874136. assign V453914 = V566554. assign V657571 = V477948 + 1. assign V568213 = V530362 + 1. assign V884783 = V514863 - 1. assign V908420 = V414220 - 1. assign V331377 = V647793 + 1. assign V821988 = V550506. assign V976760 = V103043 + 1. assign V413206 = V231762 - 1. assign V045319 = V146910. assign V200116 = V550506 + 1. assign V757960 = V146910. assign V941737 = V757960. assign V480985 = V608126 + 1. assign V192184 = V241141 + 1. assign V605332 = V764832 + 1. assign V495237 = V371823. assign V748314 = V836641 + 1. assign V006695 = V550506. assign V210529 = V401196 - 1. assign V986630 = V045319 - 1. assign V435857 = V453914. assign V902901 = V733287 - 1. assign V267917 = V720104. assign V591373 = V884783. assign V120310 = V528029. assign V996043 = V477948. assign V085352 = V726609 + 1. assign V528029 = V880809 + 1. assign V401196 = V566554 - 1. assign V411306 = V055695 + 1. assign V910443 = V799529 + 1. assign V371823 = V104570 - 1. assign V648699 = V044128 - 1. assign V424236 = V757960 + 1. assign V677488 = V720104 + 1. assign V403120 = V477948. assign V413488 = V194702 - 1. assign V231762 = V200116 - 1. assign V719920 = V045784 - 1. assign V948819 = V045784 - 1. assign V024115 = V720104 - 1. assign V165650 = V744521. assign V725432 = V424236 + 1. assign V054622 = V225563 - 1. assign V104570 = V055695 - 1. assign V183440 = V744521 + 1. assign V806367 = V332079 + 1. assign V836641 = V685453 - 1. assign V230043 = V677488 - 1. assign V462096 = V802569. assign V416084 = V200116 - 1. assign V352827 = V210529. assign V010328 = V836641 - 1. assign V863261 = V820960. assign V659049 = V605332 - 1. assign V843068 = V200116 + 1. assign V996370 = V647793. assign V479828 = V960350. assign V404849 = V453914 + 1. assign V170009 = V863103 - 1. assign V528108 = V045784. assign V799529 = V836641. assign V841504 = V720104. assign V343606 = V716405 - 1. assign V525922 = V416084 + 1. assign V300824 = V194702 - 1. assign V705891 = V821988 - 1. assign V225563 = V863103 + 1. assign V550506 = V720104 - 1. assign V531194 = V119018 + 1. assign V041667 = V648699 - 1. assign V276613 = V225563 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV046304 = 5;\n\nFrom these direct assignment(s), we have: \nV165496 = V046304 + 1 = 5 + 1 =6;\nNo other variables can be derived from V165496;\nNo other variables can be derived from V046304;\n\nNow we have done all the calculations. Derived variables are:\nV046304 = 5;\nV165496 = 6;\n\nNow we have finished this problem. ANSWER:\nV046304\n", "role": "assistant" } ]

[ "V380602" ]

[ { "content": "<context>\nassign V869074 = V932635 - 1. assign V442629 = V180305 - 1. assign V749631 = V793651 + 1. assign V880546 = V361133. assign V786699 = V635189 - 1. assign V741384 = V662526. assign V587139 = V404185. assign V963350 = V733713 - 1. assign V926087 = V225847 - 1. assign V365594 = V912477 + 1. assign V555166 = V358921 + 1. assign V463885 = V225847 - 1. assign V956281 = V895668. assign V041945 = V926087 + 1. assign V922206 = V285236. assign V265005 = V442629. assign V732858 = V041945 - 1. assign V141912 = V635189 - 1. assign V989946 = V225847. assign V701535 = V404185. assign V666546 = V909290. assign V182628 = V114128 + 1. assign V705717 = V646388 - 1. assign V869479 = V839116 + 1. assign V193028 = V114128 - 1. assign V869822 = V114671 - 1. assign V183788 = V792496 - 1. assign V224988 = V268501 + 1. assign V734667 = V665507 - 1. assign V836158 = V972883. assign V867295 = V379322. assign V850203 = V141912 - 1. assign V102994 = V926087. assign V335147 = V322925 - 1. assign V733713 = V042247 - 1. assign V895668 = V430366 + 1. assign V595496 = V895668 + 1. assign V946807 = V774809. assign V916719 = V180305. assign V803548 = V630550 - 1. assign V922483 = V463885 - 1. assign V949419 = V665507 + 1. assign V630550 = V647154. assign V774809 = V042247. assign V180305 = V102994 + 1. assign V836898 = V108130 + 1. assign V722999 = V772433. assign V214560 = V689705. assign V749758 = V916719 + 1. assign V196985 = V946807 + 1. assign V993132 = V869822 - 1. assign V193453 = V379089 + 1. assign V213439 = V268501 + 1. assign V912477 = V193028. assign V243861 = V300939. assign V975994 = V225847 + 1. assign V772053 = V732858 + 1. assign V143407 = V887428. assign V372510 = V300939 + 1. assign V792496 = V975994 - 1. assign V809195 = V531328 - 1. assign V602362 = V463885. assign V380056 = V774809 - 1. assign V430366 = V041945 + 1. assign V501233 = V628321 + 1. assign V060655 = V379322 + 1. assign V276611 = V989946 - 1. assign V169262 = V689705 - 1. assign V646472 = V909290. assign V917202 = V463885 + 1. assign V531328 = V793651 - 1. assign V285236 = V102994. assign V380602 = 3. assign V806589 = V895668 - 1. assign V890627 = V735363 - 1. assign V348086 = V422755. assign V059338 = V683396. assign V198004 = V993132. assign V322925 = V587139 + 1. assign V635189 = V213439 + 1. assign V772433 = V434892. assign V224366 = V180305. assign V662526 = V114128 - 1. assign V114671 = V430366 - 1. assign V404185 = V809195 + 1. assign V584108 = V372510 + 1. assign V647154 = V885015 + 1. assign V796705 = V467361. assign V909290 = V793651 - 1. assign V546749 = V201289 + 1. assign V681201 = V836898 - 1. assign V624504 = V430366 - 1. assign V108130 = V949419 + 1. assign V631819 = V836898. assign V379089 = V102994 + 1. assign V756135 = V327988 - 1. assign V204728 = V790666 + 1. assign V818410 = V201289. assign V735363 = V531328 + 1. assign V962658 = V595496. assign V776049 = V772433. assign V144073 = V836898 - 1. assign V389619 = V885015. assign V309805 = V193028 + 1. assign V590609 = V285236 - 1. assign V127395 = V665507. assign V175510 = V809195 - 1. assign V327988 = V734667. assign V759099 = V275899 + 1. assign V725979 = V949419 + 1. assign V237209 = V662526 + 1. assign V097331 = V300939 + 1. assign V654412 = V463885 + 1. assign V829631 = V710450. assign V060837 = V975994. assign V467361 = V665507 - 1. assign V839116 = V665507 + 1. assign V479626 = V102994. assign V140519 = V379322 - 1. assign V887428 = V531328 - 1. assign V616639 = V202056. assign V201289 = V097331 + 1. assign V358921 = V890627 - 1. assign V300939 = V379089 + 1. assign V750263 = V214560. assign V042247 = V225847 + 1. assign V610435 = V372510 + 1. assign V792791 = V734667. assign V499855 = V722999 - 1. assign V214861 = V756135. assign V275899 = V975994 - 1. assign V471038 = V510971 + 1. assign V379322 = V909290 - 1. assign V400513 = V756135 + 1. assign V642081 = V243861 - 1. assign V361133 = V372510 - 1. assign V898508 = V646388 + 1. assign V963903 = V041945 - 1. assign V268501 = V042247. assign V710450 = V217170 + 1. assign V114128 = V225847 + 1. assign V665507 = V463885 - 1. assign V422755 = V225847 + 1. assign V734347 = V380602 - 1. assign V434892 = V972883 + 1. assign V116466 = V196985 + 1. assign V718783 = V531328 + 1. assign V197356 = V193453 + 1. assign V793651 = V114128. assign V720184 = V956281. assign V577078 = V463885. assign V263909 = V720184. assign V156724 = V106951 - 1. assign V217170 = V909290 - 1. assign V925261 = V917202 + 1. assign V932635 = V662526. assign V830953 = V102994. assign V885015 = V683396 + 1. assign V646388 = V276611 - 1. assign V683396 = V193028 - 1. assign V802665 = V963350 - 1. assign V202056 = V265005 - 1. assign V198286 = V625615 - 1. assign V972883 = V926087. assign V510971 = V689705. assign V625615 = V774809 - 1. assign V628321 = V917202 + 1. assign V106951 = V909290 + 1. assign V689705 = V946807 - 1. assign V421333 = V198004. assign V790666 = V631819. assign V836603 = V683396.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V869074 = V932635 - 1. assign V442629 = V180305 - 1. assign V749631 = V793651 + 1. assign V880546 = V361133. assign V786699 = V635189 - 1. assign V741384 = V662526. assign V587139 = V404185. assign V963350 = V733713 - 1. assign V926087 = V225847 - 1. assign V365594 = V912477 + 1. assign V555166 = V358921 + 1. assign V463885 = V225847 - 1. assign V956281 = V895668. assign V041945 = V926087 + 1. assign V922206 = V285236. assign V265005 = V442629. assign V732858 = V041945 - 1. assign V141912 = V635189 - 1. assign V989946 = V225847. assign V701535 = V404185. assign V666546 = V909290. assign V182628 = V114128 + 1. assign V705717 = V646388 - 1. assign V869479 = V839116 + 1. assign V193028 = V114128 - 1. assign V869822 = V114671 - 1. assign V183788 = V792496 - 1. assign V224988 = V268501 + 1. assign V734667 = V665507 - 1. assign V836158 = V972883. assign V867295 = V379322. assign V850203 = V141912 - 1. assign V102994 = V926087. assign V335147 = V322925 - 1. assign V733713 = V042247 - 1. assign V895668 = V430366 + 1. assign V595496 = V895668 + 1. assign V946807 = V774809. assign V916719 = V180305. assign V803548 = V630550 - 1. assign V922483 = V463885 - 1. assign V949419 = V665507 + 1. assign V630550 = V647154. assign V774809 = V042247. assign V180305 = V102994 + 1. assign V836898 = V108130 + 1. assign V722999 = V772433. assign V214560 = V689705. assign V749758 = V916719 + 1. assign V196985 = V946807 + 1. assign V993132 = V869822 - 1. assign V193453 = V379089 + 1. assign V213439 = V268501 + 1. assign V912477 = V193028. assign V243861 = V300939. assign V975994 = V225847 + 1. assign V772053 = V732858 + 1. assign V143407 = V887428. assign V372510 = V300939 + 1. assign V792496 = V975994 - 1. assign V809195 = V531328 - 1. assign V602362 = V463885. assign V380056 = V774809 - 1. assign V430366 = V041945 + 1. assign V501233 = V628321 + 1. assign V060655 = V379322 + 1. assign V276611 = V989946 - 1. assign V169262 = V689705 - 1. assign V646472 = V909290. assign V917202 = V463885 + 1. assign V531328 = V793651 - 1. assign V285236 = V102994. assign V380602 = 3. assign V806589 = V895668 - 1. assign V890627 = V735363 - 1. assign V348086 = V422755. assign V059338 = V683396. assign V198004 = V993132. assign V322925 = V587139 + 1. assign V635189 = V213439 + 1. assign V772433 = V434892. assign V224366 = V180305. assign V662526 = V114128 - 1. assign V114671 = V430366 - 1. assign V404185 = V809195 + 1. assign V584108 = V372510 + 1. assign V647154 = V885015 + 1. assign V796705 = V467361. assign V909290 = V793651 - 1. assign V546749 = V201289 + 1. assign V681201 = V836898 - 1. assign V624504 = V430366 - 1. assign V108130 = V949419 + 1. assign V631819 = V836898. assign V379089 = V102994 + 1. assign V756135 = V327988 - 1. assign V204728 = V790666 + 1. assign V818410 = V201289. assign V735363 = V531328 + 1. assign V962658 = V595496. assign V776049 = V772433. assign V144073 = V836898 - 1. assign V389619 = V885015. assign V309805 = V193028 + 1. assign V590609 = V285236 - 1. assign V127395 = V665507. assign V175510 = V809195 - 1. assign V327988 = V734667. assign V759099 = V275899 + 1. assign V725979 = V949419 + 1. assign V237209 = V662526 + 1. assign V097331 = V300939 + 1. assign V654412 = V463885 + 1. assign V829631 = V710450. assign V060837 = V975994. assign V467361 = V665507 - 1. assign V839116 = V665507 + 1. assign V479626 = V102994. assign V140519 = V379322 - 1. assign V887428 = V531328 - 1. assign V616639 = V202056. assign V201289 = V097331 + 1. assign V358921 = V890627 - 1. assign V300939 = V379089 + 1. assign V750263 = V214560. assign V042247 = V225847 + 1. assign V610435 = V372510 + 1. assign V792791 = V734667. assign V499855 = V722999 - 1. assign V214861 = V756135. assign V275899 = V975994 - 1. assign V471038 = V510971 + 1. assign V379322 = V909290 - 1. assign V400513 = V756135 + 1. assign V642081 = V243861 - 1. assign V361133 = V372510 - 1. assign V898508 = V646388 + 1. assign V963903 = V041945 - 1. assign V268501 = V042247. assign V710450 = V217170 + 1. assign V114128 = V225847 + 1. assign V665507 = V463885 - 1. assign V422755 = V225847 + 1. assign V734347 = V380602 - 1. assign V434892 = V972883 + 1. assign V116466 = V196985 + 1. assign V718783 = V531328 + 1. assign V197356 = V193453 + 1. assign V793651 = V114128. assign V720184 = V956281. assign V577078 = V463885. assign V263909 = V720184. assign V156724 = V106951 - 1. assign V217170 = V909290 - 1. assign V925261 = V917202 + 1. assign V932635 = V662526. assign V830953 = V102994. assign V885015 = V683396 + 1. assign V646388 = V276611 - 1. assign V683396 = V193028 - 1. assign V802665 = V963350 - 1. assign V202056 = V265005 - 1. assign V198286 = V625615 - 1. assign V972883 = V926087. assign V510971 = V689705. assign V625615 = V774809 - 1. assign V628321 = V917202 + 1. assign V106951 = V909290 + 1. assign V689705 = V946807 - 1. assign V421333 = V198004. assign V790666 = V631819. assign V836603 = V683396.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV380602 = 3;\n\nFrom these direct assignment(s), we have: \nV734347 = V380602 - 1 = 3 - 1 =2;\nNo other variables can be derived from V734347;\nNo other variables can be derived from V380602;\n\nNow we have done all the calculations. Derived variables are:\nV380602 = 3;\nV734347 = 2;\n\nNow we have finished this problem. ANSWER:\nV380602\n", "role": "assistant" } ]

[ "V248477", "V410753" ]

[ { "content": "<context>\nassign V127333 = V721688 + 1. assign V778089 = V724370 - 1. assign V481313 = V517410 - 1. assign V210458 = V710246 - 1. assign V721688 = V907617. assign V786829 = V812176 - 1. assign V543775 = V743406. assign V206935 = V719220. assign V850687 = V328454. assign V904422 = V814153 + 1. assign V281795 = V764473 + 1. assign V390933 = V527433 - 1. assign V455804 = V939536 + 1. assign V041386 = V780547. assign V144439 = V191342. assign V104237 = V812350 + 1. assign V356471 = V002642 - 1. assign V517410 = V802667. assign V486366 = V812176. assign V416116 = V002642. assign V780547 = V570332. assign V557509 = V164707 + 1. assign V812350 = V131941 + 1. assign V237007 = V781144 + 1. assign V590011 = V674936 + 1. assign V410753 = V248477. assign V825566 = V977027. assign V135013 = V150763 + 1. assign V414528 = V893239 - 1. assign V550442 = V147518 - 1. assign V118832 = V243455. assign V893239 = V957464. assign V112553 = V965472 - 1. assign V150763 = V164707. assign V705287 = V780547 + 1. assign V213277 = V744633 + 1. assign V822400 = V279552 - 1. assign V808114 = V864327 + 1. assign V768760 = V043738 - 1. assign V257822 = V570332 - 1. assign V719220 = V593128 + 1. assign V339786 = V831379 - 1. assign V253183 = V279552 + 1. assign V404166 = V825566 + 1. assign V273678 = V382410 + 1. assign V481328 = V977027 + 1. assign V915413 = V780547 + 1. assign V252799 = V375643 - 1. assign V033708 = V986932. assign V135045 = V655952 + 1. assign V787188 = V200707 - 1. assign V373679 = V825566. assign V764473 = V978143 + 1. assign V801823 = V570332 + 1. assign V141880 = V856090 - 1. assign V957464 = V597575 - 1. assign V437632 = V698600. assign V148761 = V780547. assign V243455 = V870695 - 1. assign V375643 = V977027 - 1. assign V012572 = V764473. assign V267304 = V825566 - 1. assign V330831 = V392795 + 1. assign V558734 = V375643. assign V613759 = V957464 - 1. assign V554685 = V191342 - 1. assign V052340 = V907617 + 1. assign V500424 = V882891 + 1. assign V209415 = V002642 + 1. assign V917798 = V043738 + 1. assign V151122 = V936479 + 1. assign V965472 = V151122 + 1. assign V882891 = V597575 + 1. assign V781144 = V333177 - 1. assign V872274 = V907617. assign V392795 = V957464. assign V986932 = V151122. assign V597575 = V812176 - 1. assign V794987 = V705287. assign V814153 = V780547. assign V588569 = V257822 + 1. assign V147518 = V367398 + 1. assign V485305 = V972319 - 1. assign V228534 = V786829 + 1. assign V062800 = V917798 + 1. assign V832325 = V570985. assign V138703 = V705287 + 1. assign V351230 = V416999 - 1. assign V921277 = V850687 - 1. assign V329510 = V505003 - 1. assign V743406 = V936479 - 1. assign V543389 = V328454. assign V674936 = V367398 + 1. assign V978143 = V780547 - 1. assign V831379 = V907617 - 1. assign V505003 = V486366. assign V977027 = V486366. assign V519416 = V721688. assign V030996 = V052340. assign V333177 = V674936 + 1. assign V528755 = V392795 + 1. assign V181456 = V904422 + 1. assign V328454 = V030996. assign V836164 = V936479. assign V200707 = V144439. assign V710246 = V147518. assign V593080 = V978143 - 1. assign V870695 = V351230. assign V856090 = V131941. assign V203749 = V698600. assign V714066 = V373679. assign V024353 = V002642 + 1. assign V596649 = V375643 - 1. assign V483524 = V596303 - 1. assign V655952 = V390933 + 1. assign V921157 = V052340 - 1. assign V450714 = V921277 - 1. assign V972319 = V597575 - 1. assign V497408 = V613759. assign V131941 = V646698 - 1. assign V043738 = V882891. assign V347411 = V831379. assign V367398 = V872274 - 1. assign V281769 = V778089 - 1. assign V169251 = V375643. assign V765843 = V588569. assign V276982 = V972319. assign V864327 = V907617 + 1. assign V570985 = V356471 - 1. assign V279541 = V825566 + 1. assign V169641 = V131941. assign V570332 = V597575. assign V698600 = V825566 - 1. assign V065637 = V593128 + 1. assign V438786 = V267304 + 1. assign V927865 = V744633. assign V002642 = V570332 + 1. assign V729987 = V719448. assign V646698 = V570332 + 1. assign V864224 = V151122 + 1. assign V925193 = V812176 + 1. assign V936479 = V744633 + 1. assign V255927 = V814153 + 1. assign V161612 = V257822 - 1. assign V401221 = V151122. assign V629503 = V764473 + 1. assign V741339 = V986932 - 1. assign V907617 = V486366. assign V279552 = V527433 + 1. assign V881644 = V367398 + 1. assign V527433 = V597575 - 1. assign V521536 = V917598 - 1. assign V596303 = V597575. assign V719448 = V646698. assign V416999 = V486366 - 1. assign V939536 = V986932. assign V516613 = V390933 + 1. assign V389838 = V209415 - 1. assign V004719 = V724370. assign V724370 = V570332 + 1. assign V744633 = V864327 + 1. assign V275912 = V497408 - 1. assign V917598 = V977027. assign V802667 = V822269 - 1. assign V593128 = V864327 + 1. assign V248477 = 10. assign V822269 = V977027 - 1. assign V786989 = V505003 + 1. assign V191342 = V161612 + 1. assign V382410 = V721688. assign V633439 = V808114 - 1. assign V164707 = V936479.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V127333 = V721688 + 1. assign V778089 = V724370 - 1. assign V481313 = V517410 - 1. assign V210458 = V710246 - 1. assign V721688 = V907617. assign V786829 = V812176 - 1. assign V543775 = V743406. assign V206935 = V719220. assign V850687 = V328454. assign V904422 = V814153 + 1. assign V281795 = V764473 + 1. assign V390933 = V527433 - 1. assign V455804 = V939536 + 1. assign V041386 = V780547. assign V144439 = V191342. assign V104237 = V812350 + 1. assign V356471 = V002642 - 1. assign V517410 = V802667. assign V486366 = V812176. assign V416116 = V002642. assign V780547 = V570332. assign V557509 = V164707 + 1. assign V812350 = V131941 + 1. assign V237007 = V781144 + 1. assign V590011 = V674936 + 1. assign V410753 = V248477. assign V825566 = V977027. assign V135013 = V150763 + 1. assign V414528 = V893239 - 1. assign V550442 = V147518 - 1. assign V118832 = V243455. assign V893239 = V957464. assign V112553 = V965472 - 1. assign V150763 = V164707. assign V705287 = V780547 + 1. assign V213277 = V744633 + 1. assign V822400 = V279552 - 1. assign V808114 = V864327 + 1. assign V768760 = V043738 - 1. assign V257822 = V570332 - 1. assign V719220 = V593128 + 1. assign V339786 = V831379 - 1. assign V253183 = V279552 + 1. assign V404166 = V825566 + 1. assign V273678 = V382410 + 1. assign V481328 = V977027 + 1. assign V915413 = V780547 + 1. assign V252799 = V375643 - 1. assign V033708 = V986932. assign V135045 = V655952 + 1. assign V787188 = V200707 - 1. assign V373679 = V825566. assign V764473 = V978143 + 1. assign V801823 = V570332 + 1. assign V141880 = V856090 - 1. assign V957464 = V597575 - 1. assign V437632 = V698600. assign V148761 = V780547. assign V243455 = V870695 - 1. assign V375643 = V977027 - 1. assign V012572 = V764473. assign V267304 = V825566 - 1. assign V330831 = V392795 + 1. assign V558734 = V375643. assign V613759 = V957464 - 1. assign V554685 = V191342 - 1. assign V052340 = V907617 + 1. assign V500424 = V882891 + 1. assign V209415 = V002642 + 1. assign V917798 = V043738 + 1. assign V151122 = V936479 + 1. assign V965472 = V151122 + 1. assign V882891 = V597575 + 1. assign V781144 = V333177 - 1. assign V872274 = V907617. assign V392795 = V957464. assign V986932 = V151122. assign V597575 = V812176 - 1. assign V794987 = V705287. assign V814153 = V780547. assign V588569 = V257822 + 1. assign V147518 = V367398 + 1. assign V485305 = V972319 - 1. assign V228534 = V786829 + 1. assign V062800 = V917798 + 1. assign V832325 = V570985. assign V138703 = V705287 + 1. assign V351230 = V416999 - 1. assign V921277 = V850687 - 1. assign V329510 = V505003 - 1. assign V743406 = V936479 - 1. assign V543389 = V328454. assign V674936 = V367398 + 1. assign V978143 = V780547 - 1. assign V831379 = V907617 - 1. assign V505003 = V486366. assign V977027 = V486366. assign V519416 = V721688. assign V030996 = V052340. assign V333177 = V674936 + 1. assign V528755 = V392795 + 1. assign V181456 = V904422 + 1. assign V328454 = V030996. assign V836164 = V936479. assign V200707 = V144439. assign V710246 = V147518. assign V593080 = V978143 - 1. assign V870695 = V351230. assign V856090 = V131941. assign V203749 = V698600. assign V714066 = V373679. assign V024353 = V002642 + 1. assign V596649 = V375643 - 1. assign V483524 = V596303 - 1. assign V655952 = V390933 + 1. assign V921157 = V052340 - 1. assign V450714 = V921277 - 1. assign V972319 = V597575 - 1. assign V497408 = V613759. assign V131941 = V646698 - 1. assign V043738 = V882891. assign V347411 = V831379. assign V367398 = V872274 - 1. assign V281769 = V778089 - 1. assign V169251 = V375643. assign V765843 = V588569. assign V276982 = V972319. assign V864327 = V907617 + 1. assign V570985 = V356471 - 1. assign V279541 = V825566 + 1. assign V169641 = V131941. assign V570332 = V597575. assign V698600 = V825566 - 1. assign V065637 = V593128 + 1. assign V438786 = V267304 + 1. assign V927865 = V744633. assign V002642 = V570332 + 1. assign V729987 = V719448. assign V646698 = V570332 + 1. assign V864224 = V151122 + 1. assign V925193 = V812176 + 1. assign V936479 = V744633 + 1. assign V255927 = V814153 + 1. assign V161612 = V257822 - 1. assign V401221 = V151122. assign V629503 = V764473 + 1. assign V741339 = V986932 - 1. assign V907617 = V486366. assign V279552 = V527433 + 1. assign V881644 = V367398 + 1. assign V527433 = V597575 - 1. assign V521536 = V917598 - 1. assign V596303 = V597575. assign V719448 = V646698. assign V416999 = V486366 - 1. assign V939536 = V986932. assign V516613 = V390933 + 1. assign V389838 = V209415 - 1. assign V004719 = V724370. assign V724370 = V570332 + 1. assign V744633 = V864327 + 1. assign V275912 = V497408 - 1. assign V917598 = V977027. assign V802667 = V822269 - 1. assign V593128 = V864327 + 1. assign V248477 = 10. assign V822269 = V977027 - 1. assign V786989 = V505003 + 1. assign V191342 = V161612 + 1. assign V382410 = V721688. assign V633439 = V808114 - 1. assign V164707 = V936479.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV248477 = 10;\n\nFrom these direct assignment(s), we have: \nV410753 = V248477 = 10;\nNo other variables can be derived from V410753;\nNo other variables can be derived from V248477;\n\nNow we have done all the calculations. Derived variables are:\nV248477 = 10;\nV410753 = 10;\n\nNow we have finished this problem. ANSWER:\nV248477, V410753\n", "role": "assistant" } ]

[ "V402807" ]

[ { "content": "<context>\nassign V251750 = V973128 + 1. assign V021286 = V061950 - 1. assign V280364 = V708236 + 1. assign V016151 = V511610 - 1. assign V431555 = V260464 - 1. assign V877961 = V016151 + 1. assign V725459 = V678514 + 1. assign V148815 = V906547 + 1. assign V243116 = V017703. assign V623865 = V324712 - 1. assign V158361 = V244119 - 1. assign V588486 = V964176. assign V354820 = V878708. assign V324712 = V906547 - 1. assign V384895 = V007810. assign V860254 = V158361 + 1. assign V097491 = V836241 - 1. assign V529722 = V613824 + 1. assign V968275 = V244119 - 1. assign V613824 = V511610 - 1. assign V523462 = V158361. assign V223110 = V814530. assign V035501 = V256864 + 1. assign V136819 = V876736 - 1. assign V470267 = V085104 + 1. assign V367070 = V355863 - 1. assign V846402 = V508419 + 1. assign V427320 = V007810 + 1. assign V511610 = V114338 - 1. assign V067831 = V260464. assign V076754 = V090744 - 1. assign V415460 = 3. assign V175343 = V057347. assign V534030 = V391575 + 1. assign V875763 = V085104. assign V574106 = V148815. assign V659198 = V284291 + 1. assign V072555 = V570769. assign V775683 = V878708 + 1. assign V114338 = V017703 + 1. assign V191088 = V999221. assign V391575 = V814530. assign V260464 = V611876. assign V642391 = V684115. assign V482260 = V684115. assign V244119 = V260030 + 1. assign V346252 = V588072 - 1. assign V326923 = V964176. assign V801390 = V114338. assign V056777 = V090744. assign V182212 = V017703. assign V143084 = V994508 - 1. assign V934645 = V623865 - 1. assign V090744 = V391575. assign V760313 = V555105 + 1. assign V348931 = V175343. assign V994508 = V284291. assign V188625 = V436106. assign V260030 = V391575. assign V402807 = V415460 - 1. assign V716125 = V153009 + 1. assign V943700 = V791191 + 1. assign V638034 = V684115 + 1. assign V153009 = V085104 + 1. assign V059531 = V114338. assign V772676 = V508419 - 1. assign V521984 = V511610 - 1. assign V802932 = V534704 - 1. assign V699865 = V814530 + 1. assign V271189 = V588072 - 1. assign V396604 = V898581 + 1. assign V788080 = V083098 + 1. assign V402937 = V877961 - 1. assign V791191 = V206537 - 1. assign V113264 = V083098 + 1. assign V017703 = V588499 + 1. assign V611876 = V391575 + 1. assign V490591 = V256864. assign V225650 = V801390 - 1. assign V034213 = V720367. assign V999221 = V534030. assign V836241 = V877961 - 1. assign V683846 = V952634 - 1. assign V645268 = V148815. assign V708236 = V281161. assign V032230 = V059531 + 1. assign V436106 = V284291. assign V995116 = V511610 - 1. assign V898581 = V017703. assign V749511 = V085104. assign V091531 = V017703. assign V952634 = V083098 - 1. assign V876736 = V631987. assign V256864 = V631987 - 1. assign V678514 = V999221. assign V057347 = V114338 + 1. assign V555105 = V391575 - 1. assign V083754 = V534704 - 1. assign V973128 = V396604 + 1. assign V512565 = V995116. assign V284291 = V391575 + 1. assign V256899 = V434926 - 1. assign V384995 = V153009. assign V677726 = V565603. assign V434926 = V143084. assign V682445 = V260464. assign V171180 = V021286 + 1. assign V594872 = V699865 - 1. assign V085104 = V814530. assign V283958 = V523462 - 1. assign V061950 = V708236 - 1. assign V570769 = V057347 + 1. assign V534704 = V588072 - 1. assign V061297 = V716125 - 1. assign V420430 = V555105 + 1. assign V782157 = V720367 - 1. assign V279865 = V057347 - 1. assign V167187 = V749511. assign V471689 = V716125 - 1. assign V284392 = V676438 + 1. assign V734316 = V860254 + 1. assign V571215 = V057347. assign V684115 = V148815 + 1. assign V694717 = V994508. assign V676438 = V260464 - 1. assign V648388 = V999221 - 1. assign V878708 = V017703 + 1. assign V017207 = V083098 - 1. assign V798973 = V085104. assign V703696 = V878708. assign V129349 = V826230 - 1. assign V762124 = V860254 + 1. assign V330836 = V952634 - 1. assign V874293 = V943700 + 1. assign V964176 = V283958. assign V438095 = V427320 - 1. assign V653533 = V283958 + 1. assign V487409 = V284392 - 1. assign V588072 = V716125 + 1. assign V281161 = V801390 - 1. assign V728890 = V534030. assign V588499 = V814530 - 1. assign V083098 = V555105 - 1. assign V389967 = V225650 - 1. assign V340731 = V158361. assign V531236 = V521984. assign V413653 = V760313 + 1. assign V633510 = V083098 - 1. assign V906547 = V814530 - 1. assign V938294 = V420430 + 1. assign V644786 = V061950 - 1. assign V829096 = V822606 + 1. assign V135675 = V391575 + 1. assign V355863 = V878708. assign V661503 = V260464 - 1. assign V485620 = V801390. assign V007810 = V878708 - 1. assign V720367 = V534030 + 1. assign V565603 = V085104 + 1. assign V979359 = V330836 + 1. assign V273186 = V175343 + 1. assign V206537 = V555105. assign V914665 = V113264. assign V351140 = V720367. assign V069027 = V021286 + 1. assign V826230 = V148815 - 1. assign V317344 = V083098. assign V515483 = V436106 - 1. assign V631987 = V017703. assign V083421 = V760313 + 1. assign V822606 = V281161. assign V508419 = V694717 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V251750 = V973128 + 1. assign V021286 = V061950 - 1. assign V280364 = V708236 + 1. assign V016151 = V511610 - 1. assign V431555 = V260464 - 1. assign V877961 = V016151 + 1. assign V725459 = V678514 + 1. assign V148815 = V906547 + 1. assign V243116 = V017703. assign V623865 = V324712 - 1. assign V158361 = V244119 - 1. assign V588486 = V964176. assign V354820 = V878708. assign V324712 = V906547 - 1. assign V384895 = V007810. assign V860254 = V158361 + 1. assign V097491 = V836241 - 1. assign V529722 = V613824 + 1. assign V968275 = V244119 - 1. assign V613824 = V511610 - 1. assign V523462 = V158361. assign V223110 = V814530. assign V035501 = V256864 + 1. assign V136819 = V876736 - 1. assign V470267 = V085104 + 1. assign V367070 = V355863 - 1. assign V846402 = V508419 + 1. assign V427320 = V007810 + 1. assign V511610 = V114338 - 1. assign V067831 = V260464. assign V076754 = V090744 - 1. assign V415460 = 3. assign V175343 = V057347. assign V534030 = V391575 + 1. assign V875763 = V085104. assign V574106 = V148815. assign V659198 = V284291 + 1. assign V072555 = V570769. assign V775683 = V878708 + 1. assign V114338 = V017703 + 1. assign V191088 = V999221. assign V391575 = V814530. assign V260464 = V611876. assign V642391 = V684115. assign V482260 = V684115. assign V244119 = V260030 + 1. assign V346252 = V588072 - 1. assign V326923 = V964176. assign V801390 = V114338. assign V056777 = V090744. assign V182212 = V017703. assign V143084 = V994508 - 1. assign V934645 = V623865 - 1. assign V090744 = V391575. assign V760313 = V555105 + 1. assign V348931 = V175343. assign V994508 = V284291. assign V188625 = V436106. assign V260030 = V391575. assign V402807 = V415460 - 1. assign V716125 = V153009 + 1. assign V943700 = V791191 + 1. assign V638034 = V684115 + 1. assign V153009 = V085104 + 1. assign V059531 = V114338. assign V772676 = V508419 - 1. assign V521984 = V511610 - 1. assign V802932 = V534704 - 1. assign V699865 = V814530 + 1. assign V271189 = V588072 - 1. assign V396604 = V898581 + 1. assign V788080 = V083098 + 1. assign V402937 = V877961 - 1. assign V791191 = V206537 - 1. assign V113264 = V083098 + 1. assign V017703 = V588499 + 1. assign V611876 = V391575 + 1. assign V490591 = V256864. assign V225650 = V801390 - 1. assign V034213 = V720367. assign V999221 = V534030. assign V836241 = V877961 - 1. assign V683846 = V952634 - 1. assign V645268 = V148815. assign V708236 = V281161. assign V032230 = V059531 + 1. assign V436106 = V284291. assign V995116 = V511610 - 1. assign V898581 = V017703. assign V749511 = V085104. assign V091531 = V017703. assign V952634 = V083098 - 1. assign V876736 = V631987. assign V256864 = V631987 - 1. assign V678514 = V999221. assign V057347 = V114338 + 1. assign V555105 = V391575 - 1. assign V083754 = V534704 - 1. assign V973128 = V396604 + 1. assign V512565 = V995116. assign V284291 = V391575 + 1. assign V256899 = V434926 - 1. assign V384995 = V153009. assign V677726 = V565603. assign V434926 = V143084. assign V682445 = V260464. assign V171180 = V021286 + 1. assign V594872 = V699865 - 1. assign V085104 = V814530. assign V283958 = V523462 - 1. assign V061950 = V708236 - 1. assign V570769 = V057347 + 1. assign V534704 = V588072 - 1. assign V061297 = V716125 - 1. assign V420430 = V555105 + 1. assign V782157 = V720367 - 1. assign V279865 = V057347 - 1. assign V167187 = V749511. assign V471689 = V716125 - 1. assign V284392 = V676438 + 1. assign V734316 = V860254 + 1. assign V571215 = V057347. assign V684115 = V148815 + 1. assign V694717 = V994508. assign V676438 = V260464 - 1. assign V648388 = V999221 - 1. assign V878708 = V017703 + 1. assign V017207 = V083098 - 1. assign V798973 = V085104. assign V703696 = V878708. assign V129349 = V826230 - 1. assign V762124 = V860254 + 1. assign V330836 = V952634 - 1. assign V874293 = V943700 + 1. assign V964176 = V283958. assign V438095 = V427320 - 1. assign V653533 = V283958 + 1. assign V487409 = V284392 - 1. assign V588072 = V716125 + 1. assign V281161 = V801390 - 1. assign V728890 = V534030. assign V588499 = V814530 - 1. assign V083098 = V555105 - 1. assign V389967 = V225650 - 1. assign V340731 = V158361. assign V531236 = V521984. assign V413653 = V760313 + 1. assign V633510 = V083098 - 1. assign V906547 = V814530 - 1. assign V938294 = V420430 + 1. assign V644786 = V061950 - 1. assign V829096 = V822606 + 1. assign V135675 = V391575 + 1. assign V355863 = V878708. assign V661503 = V260464 - 1. assign V485620 = V801390. assign V007810 = V878708 - 1. assign V720367 = V534030 + 1. assign V565603 = V085104 + 1. assign V979359 = V330836 + 1. assign V273186 = V175343 + 1. assign V206537 = V555105. assign V914665 = V113264. assign V351140 = V720367. assign V069027 = V021286 + 1. assign V826230 = V148815 - 1. assign V317344 = V083098. assign V515483 = V436106 - 1. assign V631987 = V017703. assign V083421 = V760313 + 1. assign V822606 = V281161. assign V508419 = V694717 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV415460 = 3;\n\nFrom these direct assignment(s), we have: \nV402807 = V415460 - 1 = 3 - 1 =2;\nNo other variables can be derived from V402807;\nNo other variables can be derived from V415460;\n\nNow we have done all the calculations. Derived variables are:\nV415460 = 3;\nV402807 = 2;\n\nNow we have finished this problem. ANSWER:\nV402807\n", "role": "assistant" } ]

[ "V409054" ]

[ { "content": "<context>\nassign V081385 = V898664. assign V448792 = V534167. assign V611913 = V402877 - 1. assign V026500 = V731794 - 1. assign V864279 = V601063. assign V756214 = V231909. assign V838449 = V933101. assign V124728 = V301688. assign V902657 = V775969. assign V658681 = V529966. assign V344128 = V666766. assign V360635 = V682337. assign V615474 = V341870 - 1. assign V520903 = V962924. assign V217662 = V047765 - 1. assign V409054 = V813350 + 1. assign V329553 = V779909 + 1. assign V337224 = V666766 - 1. assign V610543 = V496581. assign V198381 = V982868. assign V369631 = V413010 - 1. assign V395990 = V813442 + 1. assign V962924 = V244876 - 1. assign V583944 = V497638. assign V866990 = V075125 - 1. assign V402877 = V124728. assign V318391 = V497638 + 1. assign V497638 = V339461 - 1. assign V870620 = V149325. assign V496581 = V882715 - 1. assign V974094 = V459980. assign V660726 = V505669 - 1. assign V911960 = V339461 - 1. assign V620468 = V156715 + 1. assign V715390 = V363527 + 1. assign V632641 = V063145 - 1. assign V446126 = V360635 + 1. assign V608936 = V026500. assign V434323 = V670601. assign V985640 = V301688 + 1. assign V166157 = V459980 + 1. assign V632572 = V670601 + 1. assign V093417 = V779909. assign V413010 = V485326 + 1. assign V480099 = V854559 + 1. assign V924748 = V649783 + 1. assign V569480 = V496581. assign V707319 = V341870 - 1. assign V570845 = V360635. assign V165976 = V670601 + 1. assign V047765 = V437784 + 1. assign V672609 = V485326. assign V459980 = V628875 - 1. assign V515642 = V517996 - 1. assign V012477 = V494189. assign V437784 = V301688 - 1. assign V355590 = V505669 - 1. assign V505669 = V301688. assign V485326 = V494189 + 1. assign V773326 = V124728 - 1. assign V587134 = V722569. assign V119585 = V146998 - 1. assign V628875 = V301688. assign V016539 = V437784 - 1. assign V932719 = V304679 + 1. assign V355286 = V670601. assign V957064 = V669237 + 1. assign V149325 = V670601 + 1. assign V843880 = V587134 + 1. assign V926998 = V549109 + 1. assign V786690 = V530378 - 1. assign V669237 = V146998. assign V867003 = V975869 - 1. assign V664941 = V812633 - 1. assign V673860 = V505669. assign V882715 = V505669 - 1. assign V688066 = V217662 - 1. assign V490152 = V766935 - 1. assign V918211 = V329553 - 1. assign V999948 = V630150 - 1. assign V170795 = V926998 + 1. assign V417333 = V520903 - 1. assign V103674 = V165976. assign V342320 = V970460 - 1. assign V231909 = V156715. assign V413437 = V201764. assign V766935 = V556766 + 1. assign V863206 = V448792. assign V530378 = V434323. assign V610039 = V861663 + 1. assign V494189 = V355590 + 1. assign V363527 = V722569. assign V351572 = V026500 + 1. assign V891060 = V437784. assign V002760 = V911960 + 1. assign V577167 = V902657 - 1. assign V324488 = V973221. assign V289251 = V982868 + 1. assign V775969 = V147310 - 1. assign V147310 = V682337 - 1. assign V706474 = V231909 - 1. assign V625859 = V897625. assign V854559 = V722569. assign V779909 = V023303 - 1. assign V469205 = V766935. assign V513284 = V520903 - 1. assign V101317 = V570845 - 1. assign V638172 = V628875. assign V513892 = V514488 + 1. assign V792256 = V355590 + 1. assign V244876 = V301688. assign V023303 = V731794. assign V813350 = 6. assign V235823 = V505669 + 1. assign V462479 = V075125. assign V052504 = V998324 + 1. assign V530970 = V360635 + 1. assign V080931 = V962924 - 1. assign V165840 = V147310. assign V103181 = V744867. assign V630150 = V339461. assign V063145 = V360635 - 1. assign V579623 = V902657 - 1. assign V722569 = V402877 - 1. assign V362144 = V682337 - 1. assign V982868 = V513284 + 1. assign V514488 = V437784. assign V075125 = V641475 - 1. assign V358347 = V166157 + 1. assign V744867 = V413010 + 1. assign V649783 = V063145 + 1. assign V549109 = V933101 + 1. assign V534167 = V355590 + 1. assign V529966 = V124728 + 1. assign V656114 = V775969 + 1. assign V393459 = V630150. assign V795948 = V146998 - 1. assign V341870 = V124728. assign V304679 = V766935. assign V970460 = V360635. assign V898664 = V244876 - 1. assign V998324 = V063145 - 1. assign V774626 = V339461 - 1. assign V517996 = V933101. assign V641475 = V124728. assign V368903 = V513892 - 1. assign V812633 = V016539. assign V813442 = V569480 - 1. assign V861663 = V513284. assign V255229 = V611913. assign V933101 = V124728 - 1. assign V201764 = V147310 + 1. assign V973221 = V362144 - 1. assign V682337 = V339461 + 1. assign V670601 = V970460 - 1. assign V897625 = V556766 - 1. assign V339461 = V341870 - 1. assign V227671 = V766935 + 1. assign V556766 = V437784 + 1. assign V731794 = V402877 + 1. assign V601063 = V496581. assign V399284 = V882715 - 1. assign V597555 = V688066 + 1. assign V975869 = V630150 + 1. assign V146998 = V496581 + 1. assign V471269 = V688066 - 1. assign V156715 = V360635 - 1. assign V770017 = V630150. assign V852521 = V766935. assign V358382 = V658681. assign V958761 = V026500 - 1. assign V666766 = V891060.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V081385 = V898664. assign V448792 = V534167. assign V611913 = V402877 - 1. assign V026500 = V731794 - 1. assign V864279 = V601063. assign V756214 = V231909. assign V838449 = V933101. assign V124728 = V301688. assign V902657 = V775969. assign V658681 = V529966. assign V344128 = V666766. assign V360635 = V682337. assign V615474 = V341870 - 1. assign V520903 = V962924. assign V217662 = V047765 - 1. assign V409054 = V813350 + 1. assign V329553 = V779909 + 1. assign V337224 = V666766 - 1. assign V610543 = V496581. assign V198381 = V982868. assign V369631 = V413010 - 1. assign V395990 = V813442 + 1. assign V962924 = V244876 - 1. assign V583944 = V497638. assign V866990 = V075125 - 1. assign V402877 = V124728. assign V318391 = V497638 + 1. assign V497638 = V339461 - 1. assign V870620 = V149325. assign V496581 = V882715 - 1. assign V974094 = V459980. assign V660726 = V505669 - 1. assign V911960 = V339461 - 1. assign V620468 = V156715 + 1. assign V715390 = V363527 + 1. assign V632641 = V063145 - 1. assign V446126 = V360635 + 1. assign V608936 = V026500. assign V434323 = V670601. assign V985640 = V301688 + 1. assign V166157 = V459980 + 1. assign V632572 = V670601 + 1. assign V093417 = V779909. assign V413010 = V485326 + 1. assign V480099 = V854559 + 1. assign V924748 = V649783 + 1. assign V569480 = V496581. assign V707319 = V341870 - 1. assign V570845 = V360635. assign V165976 = V670601 + 1. assign V047765 = V437784 + 1. assign V672609 = V485326. assign V459980 = V628875 - 1. assign V515642 = V517996 - 1. assign V012477 = V494189. assign V437784 = V301688 - 1. assign V355590 = V505669 - 1. assign V505669 = V301688. assign V485326 = V494189 + 1. assign V773326 = V124728 - 1. assign V587134 = V722569. assign V119585 = V146998 - 1. assign V628875 = V301688. assign V016539 = V437784 - 1. assign V932719 = V304679 + 1. assign V355286 = V670601. assign V957064 = V669237 + 1. assign V149325 = V670601 + 1. assign V843880 = V587134 + 1. assign V926998 = V549109 + 1. assign V786690 = V530378 - 1. assign V669237 = V146998. assign V867003 = V975869 - 1. assign V664941 = V812633 - 1. assign V673860 = V505669. assign V882715 = V505669 - 1. assign V688066 = V217662 - 1. assign V490152 = V766935 - 1. assign V918211 = V329553 - 1. assign V999948 = V630150 - 1. assign V170795 = V926998 + 1. assign V417333 = V520903 - 1. assign V103674 = V165976. assign V342320 = V970460 - 1. assign V231909 = V156715. assign V413437 = V201764. assign V766935 = V556766 + 1. assign V863206 = V448792. assign V530378 = V434323. assign V610039 = V861663 + 1. assign V494189 = V355590 + 1. assign V363527 = V722569. assign V351572 = V026500 + 1. assign V891060 = V437784. assign V002760 = V911960 + 1. assign V577167 = V902657 - 1. assign V324488 = V973221. assign V289251 = V982868 + 1. assign V775969 = V147310 - 1. assign V147310 = V682337 - 1. assign V706474 = V231909 - 1. assign V625859 = V897625. assign V854559 = V722569. assign V779909 = V023303 - 1. assign V469205 = V766935. assign V513284 = V520903 - 1. assign V101317 = V570845 - 1. assign V638172 = V628875. assign V513892 = V514488 + 1. assign V792256 = V355590 + 1. assign V244876 = V301688. assign V023303 = V731794. assign V813350 = 6. assign V235823 = V505669 + 1. assign V462479 = V075125. assign V052504 = V998324 + 1. assign V530970 = V360635 + 1. assign V080931 = V962924 - 1. assign V165840 = V147310. assign V103181 = V744867. assign V630150 = V339461. assign V063145 = V360635 - 1. assign V579623 = V902657 - 1. assign V722569 = V402877 - 1. assign V362144 = V682337 - 1. assign V982868 = V513284 + 1. assign V514488 = V437784. assign V075125 = V641475 - 1. assign V358347 = V166157 + 1. assign V744867 = V413010 + 1. assign V649783 = V063145 + 1. assign V549109 = V933101 + 1. assign V534167 = V355590 + 1. assign V529966 = V124728 + 1. assign V656114 = V775969 + 1. assign V393459 = V630150. assign V795948 = V146998 - 1. assign V341870 = V124728. assign V304679 = V766935. assign V970460 = V360635. assign V898664 = V244876 - 1. assign V998324 = V063145 - 1. assign V774626 = V339461 - 1. assign V517996 = V933101. assign V641475 = V124728. assign V368903 = V513892 - 1. assign V812633 = V016539. assign V813442 = V569480 - 1. assign V861663 = V513284. assign V255229 = V611913. assign V933101 = V124728 - 1. assign V201764 = V147310 + 1. assign V973221 = V362144 - 1. assign V682337 = V339461 + 1. assign V670601 = V970460 - 1. assign V897625 = V556766 - 1. assign V339461 = V341870 - 1. assign V227671 = V766935 + 1. assign V556766 = V437784 + 1. assign V731794 = V402877 + 1. assign V601063 = V496581. assign V399284 = V882715 - 1. assign V597555 = V688066 + 1. assign V975869 = V630150 + 1. assign V146998 = V496581 + 1. assign V471269 = V688066 - 1. assign V156715 = V360635 - 1. assign V770017 = V630150. assign V852521 = V766935. assign V358382 = V658681. assign V958761 = V026500 - 1. assign V666766 = V891060.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV813350 = 6;\n\nFrom these direct assignment(s), we have: \nV409054 = V813350 + 1 = 6 + 1 =7;\nNo other variables can be derived from V409054;\nNo other variables can be derived from V813350;\n\nNow we have done all the calculations. Derived variables are:\nV813350 = 6;\nV409054 = 7;\n\nNow we have finished this problem. ANSWER:\nV409054\n", "role": "assistant" } ]

[ "V809013" ]

[ { "content": "<context>\nassign V731860 = V509956. assign V435100 = V545413. assign V108802 = V357218 + 1. assign V457460 = V644678. assign V501460 = V982752. assign V059644 = V714689 - 1. assign V175348 = V228318 + 1. assign V907950 = V927373 + 1. assign V132586 = V752118. assign V924491 = V501460. assign V228299 = V493329 - 1. assign V931813 = V186852 + 1. assign V927373 = V593789 - 1. assign V826655 = V228318 - 1. assign V991219 = V953677 - 1. assign V114930 = V501460 - 1. assign V075836 = V974441. assign V132288 = V001886. assign V199117 = V982752. assign V280905 = V714689 + 1. assign V233226 = V819181. assign V809013 = V803363 - 1. assign V027179 = V843737. assign V545413 = V114930 + 1. assign V502112 = V501460 - 1. assign V852971 = V233226 - 1. assign V242694 = V175348 + 1. assign V863159 = V597784 - 1. assign V873127 = V501460. assign V074900 = V824350 + 1. assign V376035 = V150863. assign V224889 = V325042 + 1. assign V450128 = V607603. assign V509956 = V175348. assign V560677 = V635638. assign V126061 = V481502 - 1. assign V176372 = V847589 - 1. assign V706571 = V710308. assign V228318 = V980185 + 1. assign V923171 = V228318 - 1. assign V325042 = V980185 - 1. assign V847589 = V980185 - 1. assign V803363 = 1. assign V805902 = V593789. assign V597260 = V379123 + 1. assign V174969 = V847589 - 1. assign V721519 = V607603 + 1. assign V016819 = V242694 + 1. assign V548179 = V126061 - 1. assign V644678 = V902011. assign V529338 = V012302 + 1. assign V976139 = V509956 - 1. assign V809904 = V400773. assign V334098 = V659878. assign V794338 = V062177. assign V635221 = V233226 + 1. assign V493875 = V529338 + 1. assign V606845 = V819181. assign V765888 = V923171 + 1. assign V299455 = V593789 - 1. assign V480647 = V737589 - 1. assign V444121 = V242694 - 1. assign V953677 = V982752 + 1. assign V186852 = V974138 - 1. assign V012302 = V545413 + 1. assign V001886 = V733677. assign V597784 = V175348 - 1. assign V710308 = V143500 - 1. assign V593789 = V826655 + 1. assign V524520 = V733677 + 1. assign V062177 = V976139 - 1. assign V847609 = V635638. assign V699300 = V160476. assign V900758 = V393313. assign V631397 = V847609 + 1. assign V718038 = V980185. assign V433516 = V393313. assign V980185 = V114930 + 1. assign V973625 = V228318 + 1. assign V794878 = V095344 - 1. assign V843737 = V825673 + 1. assign V244701 = V383018 + 1. assign V790962 = V752118. assign V725485 = V953677. assign V908013 = V383018. assign V291177 = V847609 - 1. assign V379123 = V825673. assign V268855 = V435100 - 1. assign V095344 = V545413 - 1. assign V386389 = V199753. assign V160476 = V394146 + 1. assign V596407 = V012302 + 1. assign V380671 = V285893 + 1. assign V495669 = V955284. assign V373362 = V847589 + 1. assign V634236 = V739870 - 1. assign V733426 = V228318. assign V974138 = V718038 - 1. assign V414503 = V607603 + 1. assign V493329 = V379123 + 1. assign V607603 = V718038 - 1. assign V253944 = V721519 - 1. assign V635638 = V725485 - 1. assign V189017 = V509956. assign V825673 = V718038. assign V350299 = V233226. assign V769082 = V643144 - 1. assign V315569 = V974138. assign V682222 = V923171. assign V081721 = V737589 + 1. assign V902011 = V545413. assign V733677 = V718038 - 1. assign V910964 = V739870 - 1. assign V199753 = V529338 + 1. assign V393313 = V400773. assign V670473 = V873127 + 1. assign V752118 = V843737 - 1. assign V141983 = V160476. assign V643144 = V199117. assign V394146 = V912767 - 1. assign V440514 = V108802 + 1. assign V357218 = V973625 - 1. assign V321758 = V132586 + 1. assign V523445 = V606392 + 1. assign V358296 = V721519. assign V974441 = V114930. assign V126704 = V090691 + 1. assign V852502 = V847609 + 1. assign V659878 = V923171 + 1. assign V115267 = V982752. assign V664393 = V199117 + 1. assign V763711 = V393313 + 1. assign V481502 = V733677 + 1. assign V962260 = V501460 + 1. assign V400773 = V643144. assign V612257 = V383018 + 1. assign V244910 = V826655 + 1. assign V606392 = V974138. assign V749086 = V325042. assign V133929 = V440514 - 1. assign V407843 = V927373. assign V188377 = V244701. assign V695064 = V910964 - 1. assign V824350 = V095344. assign V383018 = V664393 + 1. assign V143500 = V790962 - 1. assign V739870 = V982752. assign V598752 = V457460 - 1. assign V714689 = V643144. assign V090691 = V074900 + 1. assign V737589 = V546236. assign V285893 = V976139 + 1. assign V550903 = V435100 - 1. assign V071375 = V847589. assign V560144 = V001886 + 1. assign V150863 = V635221 + 1. assign V929911 = V400773. assign V893399 = V126061 - 1. assign V546236 = V953677 - 1. assign V608741 = V132586 + 1. assign V245726 = V242694 - 1. assign V175689 = V752118 + 1. assign V555593 = V852971. assign V656547 = V847589 - 1. assign V181393 = V644678 + 1. assign V819181 = V953677 - 1. assign V707985 = V598752. assign V664472 = V731860. assign V547751 = V199117 - 1. assign V912767 = V546236 + 1. assign V955284 = V126061 + 1. assign V735365 = V910964.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V731860 = V509956. assign V435100 = V545413. assign V108802 = V357218 + 1. assign V457460 = V644678. assign V501460 = V982752. assign V059644 = V714689 - 1. assign V175348 = V228318 + 1. assign V907950 = V927373 + 1. assign V132586 = V752118. assign V924491 = V501460. assign V228299 = V493329 - 1. assign V931813 = V186852 + 1. assign V927373 = V593789 - 1. assign V826655 = V228318 - 1. assign V991219 = V953677 - 1. assign V114930 = V501460 - 1. assign V075836 = V974441. assign V132288 = V001886. assign V199117 = V982752. assign V280905 = V714689 + 1. assign V233226 = V819181. assign V809013 = V803363 - 1. assign V027179 = V843737. assign V545413 = V114930 + 1. assign V502112 = V501460 - 1. assign V852971 = V233226 - 1. assign V242694 = V175348 + 1. assign V863159 = V597784 - 1. assign V873127 = V501460. assign V074900 = V824350 + 1. assign V376035 = V150863. assign V224889 = V325042 + 1. assign V450128 = V607603. assign V509956 = V175348. assign V560677 = V635638. assign V126061 = V481502 - 1. assign V176372 = V847589 - 1. assign V706571 = V710308. assign V228318 = V980185 + 1. assign V923171 = V228318 - 1. assign V325042 = V980185 - 1. assign V847589 = V980185 - 1. assign V803363 = 1. assign V805902 = V593789. assign V597260 = V379123 + 1. assign V174969 = V847589 - 1. assign V721519 = V607603 + 1. assign V016819 = V242694 + 1. assign V548179 = V126061 - 1. assign V644678 = V902011. assign V529338 = V012302 + 1. assign V976139 = V509956 - 1. assign V809904 = V400773. assign V334098 = V659878. assign V794338 = V062177. assign V635221 = V233226 + 1. assign V493875 = V529338 + 1. assign V606845 = V819181. assign V765888 = V923171 + 1. assign V299455 = V593789 - 1. assign V480647 = V737589 - 1. assign V444121 = V242694 - 1. assign V953677 = V982752 + 1. assign V186852 = V974138 - 1. assign V012302 = V545413 + 1. assign V001886 = V733677. assign V597784 = V175348 - 1. assign V710308 = V143500 - 1. assign V593789 = V826655 + 1. assign V524520 = V733677 + 1. assign V062177 = V976139 - 1. assign V847609 = V635638. assign V699300 = V160476. assign V900758 = V393313. assign V631397 = V847609 + 1. assign V718038 = V980185. assign V433516 = V393313. assign V980185 = V114930 + 1. assign V973625 = V228318 + 1. assign V794878 = V095344 - 1. assign V843737 = V825673 + 1. assign V244701 = V383018 + 1. assign V790962 = V752118. assign V725485 = V953677. assign V908013 = V383018. assign V291177 = V847609 - 1. assign V379123 = V825673. assign V268855 = V435100 - 1. assign V095344 = V545413 - 1. assign V386389 = V199753. assign V160476 = V394146 + 1. assign V596407 = V012302 + 1. assign V380671 = V285893 + 1. assign V495669 = V955284. assign V373362 = V847589 + 1. assign V634236 = V739870 - 1. assign V733426 = V228318. assign V974138 = V718038 - 1. assign V414503 = V607603 + 1. assign V493329 = V379123 + 1. assign V607603 = V718038 - 1. assign V253944 = V721519 - 1. assign V635638 = V725485 - 1. assign V189017 = V509956. assign V825673 = V718038. assign V350299 = V233226. assign V769082 = V643144 - 1. assign V315569 = V974138. assign V682222 = V923171. assign V081721 = V737589 + 1. assign V902011 = V545413. assign V733677 = V718038 - 1. assign V910964 = V739870 - 1. assign V199753 = V529338 + 1. assign V393313 = V400773. assign V670473 = V873127 + 1. assign V752118 = V843737 - 1. assign V141983 = V160476. assign V643144 = V199117. assign V394146 = V912767 - 1. assign V440514 = V108802 + 1. assign V357218 = V973625 - 1. assign V321758 = V132586 + 1. assign V523445 = V606392 + 1. assign V358296 = V721519. assign V974441 = V114930. assign V126704 = V090691 + 1. assign V852502 = V847609 + 1. assign V659878 = V923171 + 1. assign V115267 = V982752. assign V664393 = V199117 + 1. assign V763711 = V393313 + 1. assign V481502 = V733677 + 1. assign V962260 = V501460 + 1. assign V400773 = V643144. assign V612257 = V383018 + 1. assign V244910 = V826655 + 1. assign V606392 = V974138. assign V749086 = V325042. assign V133929 = V440514 - 1. assign V407843 = V927373. assign V188377 = V244701. assign V695064 = V910964 - 1. assign V824350 = V095344. assign V383018 = V664393 + 1. assign V143500 = V790962 - 1. assign V739870 = V982752. assign V598752 = V457460 - 1. assign V714689 = V643144. assign V090691 = V074900 + 1. assign V737589 = V546236. assign V285893 = V976139 + 1. assign V550903 = V435100 - 1. assign V071375 = V847589. assign V560144 = V001886 + 1. assign V150863 = V635221 + 1. assign V929911 = V400773. assign V893399 = V126061 - 1. assign V546236 = V953677 - 1. assign V608741 = V132586 + 1. assign V245726 = V242694 - 1. assign V175689 = V752118 + 1. assign V555593 = V852971. assign V656547 = V847589 - 1. assign V181393 = V644678 + 1. assign V819181 = V953677 - 1. assign V707985 = V598752. assign V664472 = V731860. assign V547751 = V199117 - 1. assign V912767 = V546236 + 1. assign V955284 = V126061 + 1. assign V735365 = V910964.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV803363 = 1;\n\nFrom these direct assignment(s), we have: \nV809013 = V803363 - 1 = 1 - 1 =0;\nNo other variables can be derived from V809013;\nNo other variables can be derived from V803363;\n\nNow we have done all the calculations. Derived variables are:\nV803363 = 1;\nV809013 = 0;\n\nNow we have finished this problem. ANSWER:\nV809013\n", "role": "assistant" } ]

[ "V123145" ]

[ { "content": "<context>\nassign V160004 = V839597 + 1. assign V256079 = V491120 + 1. assign V691458 = V474778 + 1. assign V190901 = V899779 + 1. assign V491120 = V468904. assign V141846 = V497818 + 1. assign V496586 = V822571. assign V711119 = V497818 - 1. assign V669630 = V327021 - 1. assign V682471 = V681912 + 1. assign V632278 = V436667 + 1. assign V839597 = V971742 - 1. assign V082953 = V822772 + 1. assign V355264 = V731180. assign V568833 = V579577 - 1. assign V731180 = V838576 - 1. assign V940251 = V927597 - 1. assign V681912 = V468904 + 1. assign V378178 = V056260. assign V464524 = V822772 - 1. assign V822772 = V665261 + 1. assign V618475 = V717077. assign V142750 = V376903 + 1. assign V087230 = V975334. assign V579577 = V151354. assign V468904 = V838576 - 1. assign V432850 = V774904 - 1. assign V717077 = V468904. assign V553854 = V440256 + 1. assign V113772 = V632278 + 1. assign V891810 = V256079 + 1. assign V689370 = V524782. assign V152527 = V818885 + 1. assign V278466 = V950930 - 1. assign V359760 = V838576 - 1. assign V927597 = V992427 - 1. assign V615469 = V682471 + 1. assign V659520 = V176090 - 1. assign V688642 = V265081 + 1. assign V335986 = V992427. assign V918058 = V468904 - 1. assign V067551 = V144252 - 1. assign V004804 = V682471 + 1. assign V004637 = V565590. assign V104667 = V739180 - 1. assign V496009 = V460053 - 1. assign V427257 = V861887 - 1. assign V537956 = V568833 + 1. assign V130895 = V797260. assign V858191 = V711119 - 1. assign V119471 = V432850 - 1. assign V034505 = V839688 - 1. assign V486946 = V134324 - 1. assign V215896 = V491120. assign V971742 = V552787. assign V670566 = V971742 - 1. assign V008611 = V801177 + 1. assign V552787 = V838576 + 1. assign V836154 = V436667 - 1. assign V899779 = V432850. assign V665261 = V731180 - 1. assign V285958 = V491120 + 1. assign V226617 = V034505. assign V803493 = V367125 + 1. assign V329077 = V141846. assign V151354 = V724977 - 1. assign V474778 = V144252 - 1. assign V832229 = V762661 + 1. assign V980010 = V608643. assign V608643 = V367125. assign V975334 = V327021 - 1. assign V757208 = V288719. assign V824469 = V688642 - 1. assign V348544 = V822772 + 1. assign V797260 = V710450. assign V388991 = V602001 + 1. assign V799409 = V460053 - 1. assign V798645 = V436667 + 1. assign V492703 = V565590 + 1. assign V327021 = V324700. assign V951200 = V329077 + 1. assign V128344 = V144252 - 1. assign V742026 = V495421 + 1. assign V818133 = V581869 + 1. assign V074180 = V215382 + 1. assign V652040 = V618475 + 1. assign V388262 = V897836 - 1. assign V140073 = V774904 - 1. assign V774904 = V665261 - 1. assign V369544 = V359760 + 1. assign V725166 = V436667. assign V565590 = V710450. assign V822571 = V839688 - 1. assign V581869 = V553645 - 1. assign V897836 = V711119 - 1. assign V759274 = V056260. assign V631331 = V335986 - 1. assign V802554 = V111838 + 1. assign V561007 = V537956. assign V144252 = V739180 + 1. assign V861887 = V215896 - 1. assign V167240 = V992427. assign V644223 = V189588 - 1. assign V300294 = V359760 + 1. assign V029140 = V189588 - 1. assign V887958 = V359760. assign V221226 = V971742. assign V376903 = V742026. assign V377120 = V215896 + 1. assign V215382 = V887958 - 1. assign V495421 = V491120 - 1. assign V049319 = V927597 - 1. assign V440256 = V681912 - 1. assign V591350 = V739180 + 1. assign V176090 = V436667. assign V189588 = V887958 + 1. assign V844358 = V123145 - 1. assign V117861 = V608643. assign V871661 = V468904. assign V553645 = V468904 + 1. assign V710450 = V731180 + 1. assign V004239 = V665261. assign V111838 = V355264 + 1. assign V371494 = V822571 - 1. assign V818885 = V497818 - 1. assign V460053 = V367125. assign V801177 = V376903 - 1. assign V609188 = V822772. assign V324700 = V724977 - 1. assign V587921 = V665261 - 1. assign V192933 = V537956. assign V134324 = V774904 + 1. assign V678854 = V491120 + 1. assign V047117 = V485924 + 1. assign V639962 = V468904 - 1. assign V485924 = V739180 - 1. assign V288719 = V056260 - 1. assign V436667 = V367125 + 1. assign V842473 = V774904. assign V840224 = V221226. assign V762661 = V464524 - 1. assign V616628 = V724977 + 1. assign V477600 = V711119 + 1. assign V163517 = V615469 - 1. assign V015007 = V553645 + 1. assign V753366 = V565590. assign V458297 = V803493 + 1. assign V285792 = V607391 - 1. assign V366630 = V798645 + 1. assign V298436 = V140073 + 1. assign V367125 = V838576 - 1. assign V265081 = V725166 - 1. assign V841668 = V215896. assign V607391 = V839597 + 1. assign V724977 = V731180 + 1. assign V476145 = V591350 + 1. assign V497818 = V579577 + 1. assign V262998 = V710450 - 1. assign V123145 = 2. assign V014077 = V104667 + 1. assign V982434 = V256079. assign V524782 = V742026. assign V497267 = V710450 - 1. assign V327171 = V725166 - 1. assign V950930 = V151354 + 1. assign V992427 = V568833 + 1. assign V269178 = V265081 - 1. assign V839688 = V731180 - 1. assign V739180 = V495421. assign V056260 = V724977 - 1. assign V602001 = V298436 - 1. assign V300868 = V822571 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V160004 = V839597 + 1. assign V256079 = V491120 + 1. assign V691458 = V474778 + 1. assign V190901 = V899779 + 1. assign V491120 = V468904. assign V141846 = V497818 + 1. assign V496586 = V822571. assign V711119 = V497818 - 1. assign V669630 = V327021 - 1. assign V682471 = V681912 + 1. assign V632278 = V436667 + 1. assign V839597 = V971742 - 1. assign V082953 = V822772 + 1. assign V355264 = V731180. assign V568833 = V579577 - 1. assign V731180 = V838576 - 1. assign V940251 = V927597 - 1. assign V681912 = V468904 + 1. assign V378178 = V056260. assign V464524 = V822772 - 1. assign V822772 = V665261 + 1. assign V618475 = V717077. assign V142750 = V376903 + 1. assign V087230 = V975334. assign V579577 = V151354. assign V468904 = V838576 - 1. assign V432850 = V774904 - 1. assign V717077 = V468904. assign V553854 = V440256 + 1. assign V113772 = V632278 + 1. assign V891810 = V256079 + 1. assign V689370 = V524782. assign V152527 = V818885 + 1. assign V278466 = V950930 - 1. assign V359760 = V838576 - 1. assign V927597 = V992427 - 1. assign V615469 = V682471 + 1. assign V659520 = V176090 - 1. assign V688642 = V265081 + 1. assign V335986 = V992427. assign V918058 = V468904 - 1. assign V067551 = V144252 - 1. assign V004804 = V682471 + 1. assign V004637 = V565590. assign V104667 = V739180 - 1. assign V496009 = V460053 - 1. assign V427257 = V861887 - 1. assign V537956 = V568833 + 1. assign V130895 = V797260. assign V858191 = V711119 - 1. assign V119471 = V432850 - 1. assign V034505 = V839688 - 1. assign V486946 = V134324 - 1. assign V215896 = V491120. assign V971742 = V552787. assign V670566 = V971742 - 1. assign V008611 = V801177 + 1. assign V552787 = V838576 + 1. assign V836154 = V436667 - 1. assign V899779 = V432850. assign V665261 = V731180 - 1. assign V285958 = V491120 + 1. assign V226617 = V034505. assign V803493 = V367125 + 1. assign V329077 = V141846. assign V151354 = V724977 - 1. assign V474778 = V144252 - 1. assign V832229 = V762661 + 1. assign V980010 = V608643. assign V608643 = V367125. assign V975334 = V327021 - 1. assign V757208 = V288719. assign V824469 = V688642 - 1. assign V348544 = V822772 + 1. assign V797260 = V710450. assign V388991 = V602001 + 1. assign V799409 = V460053 - 1. assign V798645 = V436667 + 1. assign V492703 = V565590 + 1. assign V327021 = V324700. assign V951200 = V329077 + 1. assign V128344 = V144252 - 1. assign V742026 = V495421 + 1. assign V818133 = V581869 + 1. assign V074180 = V215382 + 1. assign V652040 = V618475 + 1. assign V388262 = V897836 - 1. assign V140073 = V774904 - 1. assign V774904 = V665261 - 1. assign V369544 = V359760 + 1. assign V725166 = V436667. assign V565590 = V710450. assign V822571 = V839688 - 1. assign V581869 = V553645 - 1. assign V897836 = V711119 - 1. assign V759274 = V056260. assign V631331 = V335986 - 1. assign V802554 = V111838 + 1. assign V561007 = V537956. assign V144252 = V739180 + 1. assign V861887 = V215896 - 1. assign V167240 = V992427. assign V644223 = V189588 - 1. assign V300294 = V359760 + 1. assign V029140 = V189588 - 1. assign V887958 = V359760. assign V221226 = V971742. assign V376903 = V742026. assign V377120 = V215896 + 1. assign V215382 = V887958 - 1. assign V495421 = V491120 - 1. assign V049319 = V927597 - 1. assign V440256 = V681912 - 1. assign V591350 = V739180 + 1. assign V176090 = V436667. assign V189588 = V887958 + 1. assign V844358 = V123145 - 1. assign V117861 = V608643. assign V871661 = V468904. assign V553645 = V468904 + 1. assign V710450 = V731180 + 1. assign V004239 = V665261. assign V111838 = V355264 + 1. assign V371494 = V822571 - 1. assign V818885 = V497818 - 1. assign V460053 = V367125. assign V801177 = V376903 - 1. assign V609188 = V822772. assign V324700 = V724977 - 1. assign V587921 = V665261 - 1. assign V192933 = V537956. assign V134324 = V774904 + 1. assign V678854 = V491120 + 1. assign V047117 = V485924 + 1. assign V639962 = V468904 - 1. assign V485924 = V739180 - 1. assign V288719 = V056260 - 1. assign V436667 = V367125 + 1. assign V842473 = V774904. assign V840224 = V221226. assign V762661 = V464524 - 1. assign V616628 = V724977 + 1. assign V477600 = V711119 + 1. assign V163517 = V615469 - 1. assign V015007 = V553645 + 1. assign V753366 = V565590. assign V458297 = V803493 + 1. assign V285792 = V607391 - 1. assign V366630 = V798645 + 1. assign V298436 = V140073 + 1. assign V367125 = V838576 - 1. assign V265081 = V725166 - 1. assign V841668 = V215896. assign V607391 = V839597 + 1. assign V724977 = V731180 + 1. assign V476145 = V591350 + 1. assign V497818 = V579577 + 1. assign V262998 = V710450 - 1. assign V123145 = 2. assign V014077 = V104667 + 1. assign V982434 = V256079. assign V524782 = V742026. assign V497267 = V710450 - 1. assign V327171 = V725166 - 1. assign V950930 = V151354 + 1. assign V992427 = V568833 + 1. assign V269178 = V265081 - 1. assign V839688 = V731180 - 1. assign V739180 = V495421. assign V056260 = V724977 - 1. assign V602001 = V298436 - 1. assign V300868 = V822571 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV123145 = 2;\n\nFrom these direct assignment(s), we have: \nV844358 = V123145 - 1 = 2 - 1 =1;\nNo other variables can be derived from V844358;\nNo other variables can be derived from V123145;\n\nNow we have done all the calculations. Derived variables are:\nV123145 = 2;\nV844358 = 1;\n\nNow we have finished this problem. ANSWER:\nV123145\n", "role": "assistant" } ]

[ "V000277" ]

[ { "content": "<context>\nassign V172674 = V071017. assign V440535 = V479845. assign V898183 = V355620 + 1. assign V088229 = V653820 + 1. assign V329592 = V206655 - 1. assign V885074 = V670485 - 1. assign V460885 = V266438 - 1. assign V742845 = V121253 - 1. assign V745904 = V526990. assign V640835 = V157597. assign V279399 = V853790. assign V545422 = V205925 + 1. assign V960523 = V299889. assign V909389 = V247660 + 1. assign V946602 = V935814 + 1. assign V620008 = V163780 - 1. assign V403240 = V714837 + 1. assign V493797 = V931346. assign V250006 = V071017 + 1. assign V526786 = V431603 + 1. assign V329567 = V313505 + 1. assign V000277 = V333557 + 1. assign V421244 = V408923 - 1. assign V265387 = V408923. assign V881606 = V071017. assign V023127 = V653820 + 1. assign V399211 = V914775 - 1. assign V453103 = V853790 + 1. assign V480636 = V977486 - 1. assign V832504 = V096376. assign V390410 = V493797 + 1. assign V875883 = V408923. assign V733829 = V136319. assign V437582 = V526990 + 1. assign V753541 = V968102 + 1. assign V455045 = V090989 + 1. assign V238716 = V414367 - 1. assign V439646 = V536194 - 1. assign V543208 = V114701. assign V447580 = V995692 - 1. assign V782006 = V738878 + 1. assign V106255 = V733829 + 1. assign V121253 = V452720 - 1. assign V526990 = V163780 - 1. assign V914775 = V753233. assign V968102 = V157597 - 1. assign V831209 = V753541 - 1. assign V350261 = V114701 + 1. assign V852416 = V945282 + 1. assign V056832 = V479845 - 1. assign V892252 = V588936 + 1. assign V005557 = V914775. assign V995692 = V149953 + 1. assign V670485 = V464228. assign V853790 = V163780 - 1. assign V051663 = V977486 - 1. assign V305927 = V357024 + 1. assign V295366 = V464228. assign V071017 = V945282. assign V149953 = V279399 - 1. assign V753233 = V995183 - 1. assign V831631 = V874057 - 1. assign V879294 = V535662 + 1. assign V206655 = V455045 - 1. assign V351094 = V799276 + 1. assign V503498 = V914775 + 1. assign V205925 = V157597 - 1. assign V473826 = V863656 + 1. assign V106553 = V464228 - 1. assign V738981 = V738878 - 1. assign V776917 = V853790 - 1. assign V138739 = V881606 - 1. assign V186929 = V614763 + 1. assign V985858 = V653820. assign V498189 = V351094. assign V787747 = V832504. assign V510952 = V329567 - 1. assign V567117 = V614763 + 1. assign V086645 = V779000 + 1. assign V961375 = V738878 - 1. assign V614763 = V526990 - 1. assign V519159 = V875883 + 1. assign V464228 = V994806. assign V606993 = V414367 - 1. assign V743352 = V961375. assign V832179 = V968102. assign V819339 = V545422 + 1. assign V397214 = V994806. assign V445570 = V431603 + 1. assign V313505 = V440535. assign V818692 = V669315 - 1. assign V555071 = V186929 + 1. assign V588936 = V995183 - 1. assign V536194 = V295366. assign V975718 = V408923. assign V333557 = 10. assign V266438 = V914775 + 1. assign V775203 = V357024 + 1. assign V020773 = V279399 - 1. assign V750322 = V914775. assign V779000 = V407037 - 1. assign V117843 = V881606 + 1. assign V305998 = V329567 - 1. assign V813627 = V414367 + 1. assign V714837 = V096376. assign V431603 = V853790. assign V687277 = V555071. assign V157597 = V163780. assign V931346 = V863656 + 1. assign V602942 = V299889. assign V792477 = V493797 + 1. assign V357024 = V479845 - 1. assign V479845 = V995183 - 1. assign V669315 = V431603 + 1. assign V336701 = V397214 - 1. assign V408923 = V614763 - 1. assign V410549 = V464228. assign V056611 = V522220. assign V950739 = V588936 + 1. assign V371184 = V670485. assign V976151 = V088229 + 1. assign V254022 = V536194 + 1. assign V995183 = V090989. assign V269559 = V975718. assign V505578 = V305998 - 1. assign V863656 = V526990. assign V376928 = V163780 - 1. assign V699597 = V774968 + 1. assign V644375 = V431603. assign V945282 = V853790 - 1. assign V781136 = V073982 + 1. assign V522220 = V753233 + 1. assign V096376 = V376928. assign V763985 = V931346 + 1. assign V407037 = V238716 + 1. assign V375461 = V051663 + 1. assign V738878 = V931346. assign V638604 = V994806 + 1. assign V535662 = V186929. assign V461151 = V535662 - 1. assign V594934 = V526990. assign V994806 = V853790. assign V977486 = V453103 + 1. assign V247660 = V305927 + 1. assign V413508 = V493797 + 1. assign V135768 = V431603 - 1. assign V966798 = V606993 - 1. assign V262767 = V968102. assign V550897 = V397214 - 1. assign V355620 = V914775. assign V414367 = V670485 + 1. assign V874057 = V743352 + 1. assign V799276 = V852416 + 1. assign V114701 = V945282 - 1. assign V667926 = V971210 - 1. assign V653820 = V753233 - 1. assign V441767 = V852416. assign V136319 = V545422 + 1. assign V774968 = V945282. assign V964068 = V020773 - 1. assign V012479 = V136319. assign V299889 = V781136. assign V073982 = V914775 - 1. assign V452720 = V186929 + 1. assign V971210 = V995183. assign V629606 = V135768 - 1. assign V090989 = V526990 - 1. assign V133211 = V738878 + 1. assign V074003 = V779000 + 1. assign V588728 = V995183. assign V642150 = V892252 - 1. assign V935814 = V994806 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V172674 = V071017. assign V440535 = V479845. assign V898183 = V355620 + 1. assign V088229 = V653820 + 1. assign V329592 = V206655 - 1. assign V885074 = V670485 - 1. assign V460885 = V266438 - 1. assign V742845 = V121253 - 1. assign V745904 = V526990. assign V640835 = V157597. assign V279399 = V853790. assign V545422 = V205925 + 1. assign V960523 = V299889. assign V909389 = V247660 + 1. assign V946602 = V935814 + 1. assign V620008 = V163780 - 1. assign V403240 = V714837 + 1. assign V493797 = V931346. assign V250006 = V071017 + 1. assign V526786 = V431603 + 1. assign V329567 = V313505 + 1. assign V000277 = V333557 + 1. assign V421244 = V408923 - 1. assign V265387 = V408923. assign V881606 = V071017. assign V023127 = V653820 + 1. assign V399211 = V914775 - 1. assign V453103 = V853790 + 1. assign V480636 = V977486 - 1. assign V832504 = V096376. assign V390410 = V493797 + 1. assign V875883 = V408923. assign V733829 = V136319. assign V437582 = V526990 + 1. assign V753541 = V968102 + 1. assign V455045 = V090989 + 1. assign V238716 = V414367 - 1. assign V439646 = V536194 - 1. assign V543208 = V114701. assign V447580 = V995692 - 1. assign V782006 = V738878 + 1. assign V106255 = V733829 + 1. assign V121253 = V452720 - 1. assign V526990 = V163780 - 1. assign V914775 = V753233. assign V968102 = V157597 - 1. assign V831209 = V753541 - 1. assign V350261 = V114701 + 1. assign V852416 = V945282 + 1. assign V056832 = V479845 - 1. assign V892252 = V588936 + 1. assign V005557 = V914775. assign V995692 = V149953 + 1. assign V670485 = V464228. assign V853790 = V163780 - 1. assign V051663 = V977486 - 1. assign V305927 = V357024 + 1. assign V295366 = V464228. assign V071017 = V945282. assign V149953 = V279399 - 1. assign V753233 = V995183 - 1. assign V831631 = V874057 - 1. assign V879294 = V535662 + 1. assign V206655 = V455045 - 1. assign V351094 = V799276 + 1. assign V503498 = V914775 + 1. assign V205925 = V157597 - 1. assign V473826 = V863656 + 1. assign V106553 = V464228 - 1. assign V738981 = V738878 - 1. assign V776917 = V853790 - 1. assign V138739 = V881606 - 1. assign V186929 = V614763 + 1. assign V985858 = V653820. assign V498189 = V351094. assign V787747 = V832504. assign V510952 = V329567 - 1. assign V567117 = V614763 + 1. assign V086645 = V779000 + 1. assign V961375 = V738878 - 1. assign V614763 = V526990 - 1. assign V519159 = V875883 + 1. assign V464228 = V994806. assign V606993 = V414367 - 1. assign V743352 = V961375. assign V832179 = V968102. assign V819339 = V545422 + 1. assign V397214 = V994806. assign V445570 = V431603 + 1. assign V313505 = V440535. assign V818692 = V669315 - 1. assign V555071 = V186929 + 1. assign V588936 = V995183 - 1. assign V536194 = V295366. assign V975718 = V408923. assign V333557 = 10. assign V266438 = V914775 + 1. assign V775203 = V357024 + 1. assign V020773 = V279399 - 1. assign V750322 = V914775. assign V779000 = V407037 - 1. assign V117843 = V881606 + 1. assign V305998 = V329567 - 1. assign V813627 = V414367 + 1. assign V714837 = V096376. assign V431603 = V853790. assign V687277 = V555071. assign V157597 = V163780. assign V931346 = V863656 + 1. assign V602942 = V299889. assign V792477 = V493797 + 1. assign V357024 = V479845 - 1. assign V479845 = V995183 - 1. assign V669315 = V431603 + 1. assign V336701 = V397214 - 1. assign V408923 = V614763 - 1. assign V410549 = V464228. assign V056611 = V522220. assign V950739 = V588936 + 1. assign V371184 = V670485. assign V976151 = V088229 + 1. assign V254022 = V536194 + 1. assign V995183 = V090989. assign V269559 = V975718. assign V505578 = V305998 - 1. assign V863656 = V526990. assign V376928 = V163780 - 1. assign V699597 = V774968 + 1. assign V644375 = V431603. assign V945282 = V853790 - 1. assign V781136 = V073982 + 1. assign V522220 = V753233 + 1. assign V096376 = V376928. assign V763985 = V931346 + 1. assign V407037 = V238716 + 1. assign V375461 = V051663 + 1. assign V738878 = V931346. assign V638604 = V994806 + 1. assign V535662 = V186929. assign V461151 = V535662 - 1. assign V594934 = V526990. assign V994806 = V853790. assign V977486 = V453103 + 1. assign V247660 = V305927 + 1. assign V413508 = V493797 + 1. assign V135768 = V431603 - 1. assign V966798 = V606993 - 1. assign V262767 = V968102. assign V550897 = V397214 - 1. assign V355620 = V914775. assign V414367 = V670485 + 1. assign V874057 = V743352 + 1. assign V799276 = V852416 + 1. assign V114701 = V945282 - 1. assign V667926 = V971210 - 1. assign V653820 = V753233 - 1. assign V441767 = V852416. assign V136319 = V545422 + 1. assign V774968 = V945282. assign V964068 = V020773 - 1. assign V012479 = V136319. assign V299889 = V781136. assign V073982 = V914775 - 1. assign V452720 = V186929 + 1. assign V971210 = V995183. assign V629606 = V135768 - 1. assign V090989 = V526990 - 1. assign V133211 = V738878 + 1. assign V074003 = V779000 + 1. assign V588728 = V995183. assign V642150 = V892252 - 1. assign V935814 = V994806 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV333557 = 10;\n\nFrom these direct assignment(s), we have: \nV000277 = V333557 + 1 = 10 + 1 =11;\nNo other variables can be derived from V000277;\nNo other variables can be derived from V333557;\n\nNow we have done all the calculations. Derived variables are:\nV333557 = 10;\nV000277 = 11;\n\nNow we have finished this problem. ANSWER:\nV000277\n", "role": "assistant" } ]

[ "V285644" ]

[ { "content": "<context>\nassign V083014 = V635127. assign V742332 = V440995. assign V209985 = V557391. assign V397111 = V360438. assign V774942 = V624782. assign V166385 = V905829. assign V296623 = V927783 + 1. assign V762790 = V327402 - 1. assign V395656 = V950099. assign V410608 = V502287. assign V077236 = V359927 - 1. assign V655554 = V624782 - 1. assign V607667 = V557391 - 1. assign V860454 = V576518. assign V666481 = V063272 + 1. assign V653952 = V306895 - 1. assign V185075 = V400357 + 1. assign V411014 = V425667. assign V032437 = V715104 + 1. assign V418006 = V207668 + 1. assign V331662 = V666481 + 1. assign V285644 = 10. assign V620981 = V202071 + 1. assign V749451 = V488951 + 1. assign V715104 = V171586 - 1. assign V041139 = V901769 + 1. assign V945615 = V902127 + 1. assign V718405 = V933343. assign V496250 = V933343. assign V171586 = V927783. assign V449241 = V112329 + 1. assign V956352 = V496250 - 1. assign V123761 = V927783 - 1. assign V082976 = V666481 - 1. assign V841433 = V776390 + 1. assign V464423 = V950689 - 1. assign V550748 = V792853 - 1. assign V370461 = V655554. assign V191023 = V531536. assign V290378 = V905829 - 1. assign V480845 = V762790 - 1. assign V555476 = V950099 + 1. assign V525083 = V818397 + 1. assign V776390 = V123761 + 1. assign V960184 = V166386 - 1. assign V651181 = V576518 + 1. assign V359927 = V776390. assign V643448 = V635127 + 1. assign V440995 = V171586 + 1. assign V417678 = V279726 + 1. assign V485163 = V077236 - 1. assign V740205 = V933343 + 1. assign V657255 = V615603 + 1. assign V852697 = V841433 + 1. assign V950099 = V799416 - 1. assign V847733 = V635127 - 1. assign V113710 = V488951 - 1. assign V508805 = V520891 - 1. assign V113769 = V039953 - 1. assign V003477 = V799416 + 1. assign V202071 = V553667 - 1. assign V267337 = V774942 - 1. assign V817315 = V370659 - 1. assign V341170 = V631231. assign V403135 = V703101. assign V622329 = V003477. assign V576518 = V430074 + 1. assign V167429 = V295743 - 1. assign V131854 = V430074. assign V260373 = V624782 - 1. assign V776970 = V131854 + 1. assign V844637 = V041139. assign V799416 = V202071 - 1. assign V219661 = V950689 - 1. assign V541423 = V700189. assign V364898 = V185075 + 1. assign V902127 = V929109. assign V522905 = V041139 + 1. assign V612844 = V653952 + 1. assign V150075 = V776970 - 1. assign V580699 = V918392 - 1. assign V684876 = V799416 - 1. assign V875006 = V918392 - 1. assign V502287 = V279726 + 1. assign V028854 = V465781 - 1. assign V703101 = V901769 - 1. assign V792853 = V017333 + 1. assign V422868 = V837595 + 1. assign V615603 = V465781 - 1. assign V039953 = V508805 - 1. assign V466672 = V123761. assign V782710 = V715104 + 1. assign V713913 = V279726. assign V504543 = V028854. assign V818397 = V017333 + 1. assign V837595 = V531536 + 1. assign V166386 = V929109 - 1. assign V631231 = V799416 + 1. assign V112329 = V430074 + 1. assign V918392 = V123761 - 1. assign V366626 = V847733 - 1. assign V777762 = V508805 - 1. assign V635127 = V430074 + 1. assign V045725 = V635127. assign V360438 = V030440 - 1. assign V672221 = V950099 - 1. assign V017333 = V774942 + 1. assign V392047 = V655554 + 1. assign V488951 = V841433 + 1. assign V393613 = V792853 + 1. assign V063272 = V417678. assign V915471 = V370659 + 1. assign V927758 = V440995 + 1. assign V917609 = V553667 - 1. assign V100237 = V774942. assign V595202 = V092043 + 1. assign V279726 = V624782 + 1. assign V905829 = V927783. assign V465781 = V787488 + 1. assign V901769 = V799416 - 1. assign V740844 = V285644 - 1. assign V933343 = V799416 - 1. assign V030440 = V927783. assign V258303 = V782710. assign V295743 = V762790 - 1. assign V079993 = V950099. assign V531536 = V430074 - 1. assign V581208 = V166385 - 1. assign V212110 = V112329 + 1. assign V092043 = V818397 + 1. assign V390117 = V742332 - 1. assign V089223 = V832493 + 1. assign V019660 = V045725. assign V832493 = V776970 + 1. assign V624782 = V327402. assign V787488 = V030440 - 1. assign V517689 = V535482 + 1. assign V069475 = V950689 - 1. assign V207668 = V927783. assign V002502 = V496250 - 1. assign V563875 = V171586 - 1. assign V430074 = V799416 + 1. assign V089109 = V359927 + 1. assign V520891 = V655554. assign V636119 = V622329. assign V593813 = V417678 - 1. assign V515799 = V131854. assign V990672 = V703101. assign V763575 = V927783. assign V400357 = V212110 + 1. assign V468469 = V901769. assign V327402 = V929109 + 1. assign V146516 = V417678 - 1. assign V704801 = V045725 - 1. assign V478956 = V555476 - 1. assign V535482 = V933343. assign V950689 = V762790 + 1. assign V370659 = V357067 + 1. assign V700189 = V799416. assign V306895 = V131854 - 1. assign V996150 = V541423 + 1. assign V929109 = V553667 + 1. assign V978303 = V440995. assign V425667 = V631231 + 1. assign V290956 = V030440 - 1. assign V553667 = V927783 + 1. assign V357067 = V799416 + 1. assign V802288 = V131854. assign V262916 = V550748 - 1. assign V557391 = V360438 - 1. assign V573592 = V978303 + 1. assign V035355 = V002502 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V083014 = V635127. assign V742332 = V440995. assign V209985 = V557391. assign V397111 = V360438. assign V774942 = V624782. assign V166385 = V905829. assign V296623 = V927783 + 1. assign V762790 = V327402 - 1. assign V395656 = V950099. assign V410608 = V502287. assign V077236 = V359927 - 1. assign V655554 = V624782 - 1. assign V607667 = V557391 - 1. assign V860454 = V576518. assign V666481 = V063272 + 1. assign V653952 = V306895 - 1. assign V185075 = V400357 + 1. assign V411014 = V425667. assign V032437 = V715104 + 1. assign V418006 = V207668 + 1. assign V331662 = V666481 + 1. assign V285644 = 10. assign V620981 = V202071 + 1. assign V749451 = V488951 + 1. assign V715104 = V171586 - 1. assign V041139 = V901769 + 1. assign V945615 = V902127 + 1. assign V718405 = V933343. assign V496250 = V933343. assign V171586 = V927783. assign V449241 = V112329 + 1. assign V956352 = V496250 - 1. assign V123761 = V927783 - 1. assign V082976 = V666481 - 1. assign V841433 = V776390 + 1. assign V464423 = V950689 - 1. assign V550748 = V792853 - 1. assign V370461 = V655554. assign V191023 = V531536. assign V290378 = V905829 - 1. assign V480845 = V762790 - 1. assign V555476 = V950099 + 1. assign V525083 = V818397 + 1. assign V776390 = V123761 + 1. assign V960184 = V166386 - 1. assign V651181 = V576518 + 1. assign V359927 = V776390. assign V643448 = V635127 + 1. assign V440995 = V171586 + 1. assign V417678 = V279726 + 1. assign V485163 = V077236 - 1. assign V740205 = V933343 + 1. assign V657255 = V615603 + 1. assign V852697 = V841433 + 1. assign V950099 = V799416 - 1. assign V847733 = V635127 - 1. assign V113710 = V488951 - 1. assign V508805 = V520891 - 1. assign V113769 = V039953 - 1. assign V003477 = V799416 + 1. assign V202071 = V553667 - 1. assign V267337 = V774942 - 1. assign V817315 = V370659 - 1. assign V341170 = V631231. assign V403135 = V703101. assign V622329 = V003477. assign V576518 = V430074 + 1. assign V167429 = V295743 - 1. assign V131854 = V430074. assign V260373 = V624782 - 1. assign V776970 = V131854 + 1. assign V844637 = V041139. assign V799416 = V202071 - 1. assign V219661 = V950689 - 1. assign V541423 = V700189. assign V364898 = V185075 + 1. assign V902127 = V929109. assign V522905 = V041139 + 1. assign V612844 = V653952 + 1. assign V150075 = V776970 - 1. assign V580699 = V918392 - 1. assign V684876 = V799416 - 1. assign V875006 = V918392 - 1. assign V502287 = V279726 + 1. assign V028854 = V465781 - 1. assign V703101 = V901769 - 1. assign V792853 = V017333 + 1. assign V422868 = V837595 + 1. assign V615603 = V465781 - 1. assign V039953 = V508805 - 1. assign V466672 = V123761. assign V782710 = V715104 + 1. assign V713913 = V279726. assign V504543 = V028854. assign V818397 = V017333 + 1. assign V837595 = V531536 + 1. assign V166386 = V929109 - 1. assign V631231 = V799416 + 1. assign V112329 = V430074 + 1. assign V918392 = V123761 - 1. assign V366626 = V847733 - 1. assign V777762 = V508805 - 1. assign V635127 = V430074 + 1. assign V045725 = V635127. assign V360438 = V030440 - 1. assign V672221 = V950099 - 1. assign V017333 = V774942 + 1. assign V392047 = V655554 + 1. assign V488951 = V841433 + 1. assign V393613 = V792853 + 1. assign V063272 = V417678. assign V915471 = V370659 + 1. assign V927758 = V440995 + 1. assign V917609 = V553667 - 1. assign V100237 = V774942. assign V595202 = V092043 + 1. assign V279726 = V624782 + 1. assign V905829 = V927783. assign V465781 = V787488 + 1. assign V901769 = V799416 - 1. assign V740844 = V285644 - 1. assign V933343 = V799416 - 1. assign V030440 = V927783. assign V258303 = V782710. assign V295743 = V762790 - 1. assign V079993 = V950099. assign V531536 = V430074 - 1. assign V581208 = V166385 - 1. assign V212110 = V112329 + 1. assign V092043 = V818397 + 1. assign V390117 = V742332 - 1. assign V089223 = V832493 + 1. assign V019660 = V045725. assign V832493 = V776970 + 1. assign V624782 = V327402. assign V787488 = V030440 - 1. assign V517689 = V535482 + 1. assign V069475 = V950689 - 1. assign V207668 = V927783. assign V002502 = V496250 - 1. assign V563875 = V171586 - 1. assign V430074 = V799416 + 1. assign V089109 = V359927 + 1. assign V520891 = V655554. assign V636119 = V622329. assign V593813 = V417678 - 1. assign V515799 = V131854. assign V990672 = V703101. assign V763575 = V927783. assign V400357 = V212110 + 1. assign V468469 = V901769. assign V327402 = V929109 + 1. assign V146516 = V417678 - 1. assign V704801 = V045725 - 1. assign V478956 = V555476 - 1. assign V535482 = V933343. assign V950689 = V762790 + 1. assign V370659 = V357067 + 1. assign V700189 = V799416. assign V306895 = V131854 - 1. assign V996150 = V541423 + 1. assign V929109 = V553667 + 1. assign V978303 = V440995. assign V425667 = V631231 + 1. assign V290956 = V030440 - 1. assign V553667 = V927783 + 1. assign V357067 = V799416 + 1. assign V802288 = V131854. assign V262916 = V550748 - 1. assign V557391 = V360438 - 1. assign V573592 = V978303 + 1. assign V035355 = V002502 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV285644 = 10;\n\nFrom these direct assignment(s), we have: \nV740844 = V285644 - 1 = 10 - 1 =9;\nNo other variables can be derived from V740844;\nNo other variables can be derived from V285644;\n\nNow we have done all the calculations. Derived variables are:\nV285644 = 10;\nV740844 = 9;\n\nNow we have finished this problem. ANSWER:\nV285644\n", "role": "assistant" } ]

[ "V968677", "V697630" ]

[ { "content": "<context>\nassign V947281 = V146540 - 1. assign V193241 = V994678 + 1. assign V258306 = V903842. assign V512406 = V998509 + 1. assign V856464 = V741560. assign V686289 = V994678. assign V276309 = V186869 + 1. assign V380125 = V146540 + 1. assign V640299 = V298135 - 1. assign V766174 = V245310. assign V198663 = V089272 + 1. assign V275880 = V198663 + 1. assign V270385 = V381724 + 1. assign V205110 = V775837. assign V977431 = V792505 + 1. assign V893501 = V982378 + 1. assign V329755 = V198663 - 1. assign V216017 = V313743 - 1. assign V322587 = V270385 - 1. assign V763659 = V847092 - 1. assign V245310 = V775837 - 1. assign V917078 = V973772 + 1. assign V880654 = V578764 + 1. assign V555736 = V381724. assign V014912 = V741560 + 1. assign V682695 = V193241 + 1. assign V527100 = V020208 - 1. assign V968677 = 9. assign V263730 = V466504 + 1. assign V466504 = V313743 + 1. assign V579436 = V766174. assign V526081 = V359836. assign V323472 = V692174 + 1. assign V632542 = V578737. assign V161894 = V579436 - 1. assign V868843 = V146540 + 1. assign V697630 = V968677. assign V935747 = V893501 - 1. assign V192203 = V270385 - 1. assign V301547 = V063156 + 1. assign V165369 = V769566. assign V020208 = V029168. assign V278314 = V323472. assign V333747 = V540539. assign V313743 = V601955. assign V220496 = V946780 - 1. assign V613844 = V664096 + 1. assign V692174 = V578764 - 1. assign V842572 = V601955 - 1. assign V982378 = V380488 + 1. assign V117428 = V741560 + 1. assign V840433 = V397169 + 1. assign V980432 = V578730. assign V211054 = V601955 - 1. assign V946780 = V601955 + 1. assign V381724 = V741560 - 1. assign V942926 = V466504. assign V456605 = V313743 + 1. assign V621585 = V397169. assign V896301 = V993651 + 1. assign V743260 = V014912. assign V039091 = V013681 - 1. assign V617969 = V403639 - 1. assign V466160 = V313743 - 1. assign V094442 = V451342 - 1. assign V792505 = V029168 + 1. assign V146540 = V578737. assign V853577 = V989389 - 1. assign V973140 = V117428 - 1. assign V403639 = V380488 + 1. assign V973772 = V134563 + 1. assign V208604 = V689933. assign V718678 = V292436 + 1. assign V530145 = V786345 + 1. assign V597481 = V741560 - 1. assign V013681 = V271010 - 1. assign V562113 = V128250 + 1. assign V847092 = V466504 - 1. assign V572878 = V271010 + 1. assign V580378 = V165369 + 1. assign V989389 = V380488 - 1. assign V035445 = V578730 - 1. assign V540539 = V098517 + 1. assign V187668 = V982378 + 1. assign V128250 = V029168 + 1. assign V251591 = V187668 + 1. assign V689933 = V731744 + 1. assign V148747 = V020208 - 1. assign V775837 = V209982. assign V962724 = V946780. assign V790557 = V494898 + 1. assign V482302 = V786345 - 1. assign V910667 = V769566 - 1. assign V720129 = V270385 + 1. assign V696665 = V896301 - 1. assign V193268 = V924864 + 1. assign V982254 = V063156 - 1. assign V858505 = V998509 - 1. assign V377822 = V020208 - 1. assign V446928 = V331335. assign V496709 = V743260 - 1. assign V144441 = V276309 - 1. assign V924864 = V989389 - 1. assign V656782 = V601955. assign V769566 = V856464 + 1. assign V655125 = V973772 - 1. assign V936100 = V291012. assign V312301 = V579436 + 1. assign V601955 = V578730. assign V408414 = V962724 + 1. assign V799280 = V039091 + 1. assign V271010 = V741560 + 1. assign V428811 = V146540 - 1. assign V927954 = V388712 - 1. assign V369099 = V428811. assign V731744 = V013681 - 1. assign V793310 = V601955. assign V786345 = V790557 + 1. assign V997809 = V471103. assign V994678 = V880654 + 1. assign V291012 = V313743 + 1. assign V029254 = V186869 + 1. assign V139403 = V847092 - 1. assign V451342 = V013681. assign V098517 = V397169 + 1. assign V146514 = V572878. assign V998509 = V187668. assign V331335 = V917078 - 1. assign V826528 = V125651 - 1. assign V101686 = V998509 - 1. assign V792887 = V466504 + 1. assign V826608 = V089272 - 1. assign V112339 = V035445 - 1. assign V698759 = V377822 - 1. assign V715777 = V664096 + 1. assign V516638 = V359836 + 1. assign V578730 = V380488. assign V389679 = V271010. assign V125651 = V769566 - 1. assign V380488 = V720129 - 1. assign V975168 = V298135 - 1. assign V923025 = V655125 - 1. assign V209982 = V270385 + 1. assign V029168 = V741560 + 1. assign V063156 = V720129 + 1. assign V211490 = V359836 + 1. assign V182096 = V766174 - 1. assign V993651 = V893501. assign V578737 = V998509 - 1. assign V578764 = V381724 + 1. assign V818235 = V205110 - 1. assign V903842 = V146540. assign V298135 = V982378 + 1. assign V359836 = V562253 + 1. assign V899431 = V301547 + 1. assign V494898 = V989389 - 1. assign V296432 = V621585 - 1. assign V471103 = V270385 + 1. assign V186869 = V466504 - 1. assign V134563 = V063156 - 1. assign V291756 = V947281 - 1. assign V243307 = V562253 - 1. assign V484182 = V276309 - 1. assign V664096 = V029168 - 1. assign V624782 = V117428. assign V089272 = V578737. assign V292436 = V271010 - 1. assign V035685 = V494898. assign V397169 = V578730. assign V066741 = V322587 + 1. assign V562253 = V014912 - 1. assign V388712 = V298135.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V947281 = V146540 - 1. assign V193241 = V994678 + 1. assign V258306 = V903842. assign V512406 = V998509 + 1. assign V856464 = V741560. assign V686289 = V994678. assign V276309 = V186869 + 1. assign V380125 = V146540 + 1. assign V640299 = V298135 - 1. assign V766174 = V245310. assign V198663 = V089272 + 1. assign V275880 = V198663 + 1. assign V270385 = V381724 + 1. assign V205110 = V775837. assign V977431 = V792505 + 1. assign V893501 = V982378 + 1. assign V329755 = V198663 - 1. assign V216017 = V313743 - 1. assign V322587 = V270385 - 1. assign V763659 = V847092 - 1. assign V245310 = V775837 - 1. assign V917078 = V973772 + 1. assign V880654 = V578764 + 1. assign V555736 = V381724. assign V014912 = V741560 + 1. assign V682695 = V193241 + 1. assign V527100 = V020208 - 1. assign V968677 = 9. assign V263730 = V466504 + 1. assign V466504 = V313743 + 1. assign V579436 = V766174. assign V526081 = V359836. assign V323472 = V692174 + 1. assign V632542 = V578737. assign V161894 = V579436 - 1. assign V868843 = V146540 + 1. assign V697630 = V968677. assign V935747 = V893501 - 1. assign V192203 = V270385 - 1. assign V301547 = V063156 + 1. assign V165369 = V769566. assign V020208 = V029168. assign V278314 = V323472. assign V333747 = V540539. assign V313743 = V601955. assign V220496 = V946780 - 1. assign V613844 = V664096 + 1. assign V692174 = V578764 - 1. assign V842572 = V601955 - 1. assign V982378 = V380488 + 1. assign V117428 = V741560 + 1. assign V840433 = V397169 + 1. assign V980432 = V578730. assign V211054 = V601955 - 1. assign V946780 = V601955 + 1. assign V381724 = V741560 - 1. assign V942926 = V466504. assign V456605 = V313743 + 1. assign V621585 = V397169. assign V896301 = V993651 + 1. assign V743260 = V014912. assign V039091 = V013681 - 1. assign V617969 = V403639 - 1. assign V466160 = V313743 - 1. assign V094442 = V451342 - 1. assign V792505 = V029168 + 1. assign V146540 = V578737. assign V853577 = V989389 - 1. assign V973140 = V117428 - 1. assign V403639 = V380488 + 1. assign V973772 = V134563 + 1. assign V208604 = V689933. assign V718678 = V292436 + 1. assign V530145 = V786345 + 1. assign V597481 = V741560 - 1. assign V013681 = V271010 - 1. assign V562113 = V128250 + 1. assign V847092 = V466504 - 1. assign V572878 = V271010 + 1. assign V580378 = V165369 + 1. assign V989389 = V380488 - 1. assign V035445 = V578730 - 1. assign V540539 = V098517 + 1. assign V187668 = V982378 + 1. assign V128250 = V029168 + 1. assign V251591 = V187668 + 1. assign V689933 = V731744 + 1. assign V148747 = V020208 - 1. assign V775837 = V209982. assign V962724 = V946780. assign V790557 = V494898 + 1. assign V482302 = V786345 - 1. assign V910667 = V769566 - 1. assign V720129 = V270385 + 1. assign V696665 = V896301 - 1. assign V193268 = V924864 + 1. assign V982254 = V063156 - 1. assign V858505 = V998509 - 1. assign V377822 = V020208 - 1. assign V446928 = V331335. assign V496709 = V743260 - 1. assign V144441 = V276309 - 1. assign V924864 = V989389 - 1. assign V656782 = V601955. assign V769566 = V856464 + 1. assign V655125 = V973772 - 1. assign V936100 = V291012. assign V312301 = V579436 + 1. assign V601955 = V578730. assign V408414 = V962724 + 1. assign V799280 = V039091 + 1. assign V271010 = V741560 + 1. assign V428811 = V146540 - 1. assign V927954 = V388712 - 1. assign V369099 = V428811. assign V731744 = V013681 - 1. assign V793310 = V601955. assign V786345 = V790557 + 1. assign V997809 = V471103. assign V994678 = V880654 + 1. assign V291012 = V313743 + 1. assign V029254 = V186869 + 1. assign V139403 = V847092 - 1. assign V451342 = V013681. assign V098517 = V397169 + 1. assign V146514 = V572878. assign V998509 = V187668. assign V331335 = V917078 - 1. assign V826528 = V125651 - 1. assign V101686 = V998509 - 1. assign V792887 = V466504 + 1. assign V826608 = V089272 - 1. assign V112339 = V035445 - 1. assign V698759 = V377822 - 1. assign V715777 = V664096 + 1. assign V516638 = V359836 + 1. assign V578730 = V380488. assign V389679 = V271010. assign V125651 = V769566 - 1. assign V380488 = V720129 - 1. assign V975168 = V298135 - 1. assign V923025 = V655125 - 1. assign V209982 = V270385 + 1. assign V029168 = V741560 + 1. assign V063156 = V720129 + 1. assign V211490 = V359836 + 1. assign V182096 = V766174 - 1. assign V993651 = V893501. assign V578737 = V998509 - 1. assign V578764 = V381724 + 1. assign V818235 = V205110 - 1. assign V903842 = V146540. assign V298135 = V982378 + 1. assign V359836 = V562253 + 1. assign V899431 = V301547 + 1. assign V494898 = V989389 - 1. assign V296432 = V621585 - 1. assign V471103 = V270385 + 1. assign V186869 = V466504 - 1. assign V134563 = V063156 - 1. assign V291756 = V947281 - 1. assign V243307 = V562253 - 1. assign V484182 = V276309 - 1. assign V664096 = V029168 - 1. assign V624782 = V117428. assign V089272 = V578737. assign V292436 = V271010 - 1. assign V035685 = V494898. assign V397169 = V578730. assign V066741 = V322587 + 1. assign V562253 = V014912 - 1. assign V388712 = V298135.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV968677 = 9;\n\nFrom these direct assignment(s), we have: \nV697630 = V968677 = 9;\nNo other variables can be derived from V697630;\nNo other variables can be derived from V968677;\n\nNow we have done all the calculations. Derived variables are:\nV968677 = 9;\nV697630 = 9;\n\nNow we have finished this problem. ANSWER:\nV968677, V697630\n", "role": "assistant" } ]

[ "V899140" ]

[ { "content": "<context>\nassign V213685 = V056765 + 1. assign V951688 = V027557 + 1. assign V937645 = V307249. assign V524056 = V003231. assign V687491 = V558130 - 1. assign V637904 = V307249 + 1. assign V192927 = V812130 - 1. assign V206159 = V774115 + 1. assign V927807 = V991391 - 1. assign V685402 = V741034 + 1. assign V102713 = V056765 - 1. assign V947655 = V616882 - 1. assign V561179 = V973462 - 1. assign V131311 = V927807. assign V416017 = V637904 - 1. assign V405873 = V737222 - 1. assign V899140 = V517121 - 1. assign V846854 = V981206 + 1. assign V364103 = V062429. assign V132668 = V737222. assign V634203 = V394811. assign V451659 = V452371. assign V909710 = V583580 + 1. assign V452371 = V405873. assign V287158 = V548230. assign V419296 = V769761 + 1. assign V384609 = V387673. assign V311239 = V168222 - 1. assign V149387 = V802276 - 1. assign V777306 = V562236. assign V098952 = V817292 + 1. assign V389230 = V843137 - 1. assign V843137 = V937645. assign V056765 = V812130 + 1. assign V701823 = V246817 - 1. assign V001791 = V287158 + 1. assign V356290 = V864163. assign V314551 = V949649 - 1. assign V817292 = V774115 - 1. assign V591150 = V394811. assign V774753 = V937645. assign V716078 = V591150 + 1. assign V662010 = V558130 - 1. assign V006666 = V880380 - 1. assign V598749 = V003231 - 1. assign V247241 = V104142 + 1. assign V517121 = 10. assign V874367 = V662010 - 1. assign V062429 = V562236 - 1. assign V264304 = V325597 - 1. assign V285953 = V129994 + 1. assign V182161 = V583580. assign V680340 = V104142 + 1. assign V423001 = V712150 + 1. assign V038607 = V737222 + 1. assign V010363 = V973462 + 1. assign V723339 = V480627. assign V426042 = V352690 + 1. assign V573241 = V225354 + 1. assign V885193 = V562236 + 1. assign V912859 = V584239 - 1. assign V202793 = V405873 - 1. assign V307249 = V583580 - 1. assign V864163 = V765860 - 1. assign V843257 = V078917. assign V352690 = V956407. assign V774115 = V973462 - 1. assign V558130 = V132668 + 1. assign V981206 = V287158. assign V104142 = V452371 + 1. assign V802276 = V027557 + 1. assign V686419 = V246817 + 1. assign V418956 = V155010 - 1. assign V114486 = V202793. assign V156749 = V132668 - 1. assign V616882 = V038607 - 1. assign V078917 = V634203. assign V061280 = V056765 - 1. assign V027557 = V287158 - 1. assign V002988 = V548230 + 1. assign V158128 = V104142. assign V155010 = V777306 + 1. assign V180913 = V168222 - 1. assign V052201 = V307249 + 1. assign V412627 = V426042. assign V826071 = V765860 - 1. assign V168687 = V192927 - 1. assign V695449 = V129994 + 1. assign V692359 = V364103 - 1. assign V956407 = V846854 + 1. assign V933649 = V737222 - 1. assign V387673 = V774115. assign V991391 = V846854. assign V206309 = V202793. assign V168222 = V591150. assign V228328 = V777306. assign V332969 = V801945. assign V480627 = V591150. assign V318721 = V311239 + 1. assign V756373 = V591150 + 1. assign V525066 = V287158 + 1. assign V837179 = V003231 - 1. assign V737222 = V583580 + 1. assign V205680 = V562236. assign V637657 = V978087. assign V898849 = V039340. assign V562236 = V737222 + 1. assign V903530 = V548785 - 1. assign V978087 = V864163 + 1. assign V735895 = V701823 - 1. assign V506510 = V001791 + 1. assign V246817 = V978087 - 1. assign V745378 = V583580 + 1. assign V420298 = V132668 - 1. assign V451479 = V524560 + 1. assign V459923 = V756373. assign V765860 = V405873 + 1. assign V880380 = V056765 - 1. assign V527969 = V634203. assign V919389 = V769761. assign V745282 = V774115 + 1. assign V524560 = V062429. assign V039340 = V978087. assign V026859 = V562236. assign V730223 = V756373. assign V232068 = V965623. assign V801945 = V837179. assign V263638 = V307249 - 1. assign V794184 = V062429 - 1. assign V526702 = V801945 - 1. assign V325597 = V695449. assign V312866 = V405873. assign V741034 = V452371. assign V139071 = V202793. assign V221614 = V903530 + 1. assign V057318 = V131311 + 1. assign V367179 = V745378 - 1. assign V398895 = V583580. assign V032325 = V038607 - 1. assign V451312 = V285953 - 1. assign V548785 = V737222. assign V670293 = V287158 + 1. assign V050397 = V098952 + 1. assign V973462 = V287158 + 1. assign V893401 = V168222. assign V152019 = V129994 + 1. assign V949649 = V032325. assign V935921 = V356290. assign V003231 = V583580 - 1. assign V171662 = V777306 - 1. assign V203905 = V981206 + 1. assign V671232 = V158128 + 1. assign V394811 = V307249 + 1. assign V548230 = V394811 + 1. assign V264090 = V527969 + 1. assign V972906 = V777306 + 1. assign V958867 = V061280 + 1. assign V812130 = V634203 + 1. assign V378525 = V893401 - 1. assign V129994 = V591150 + 1. assign V712150 = V182161. assign V568016 = V903530. assign V965623 = V307249 + 1. assign V848665 = V182161 + 1. assign V636279 = V364103 - 1. assign V710017 = V057318. assign V225354 = V584239. assign V678624 = V716078 + 1. assign V584239 = V965623. assign V217208 = V367179 - 1. assign V769761 = V598749. assign V579321 = V686419 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V213685 = V056765 + 1. assign V951688 = V027557 + 1. assign V937645 = V307249. assign V524056 = V003231. assign V687491 = V558130 - 1. assign V637904 = V307249 + 1. assign V192927 = V812130 - 1. assign V206159 = V774115 + 1. assign V927807 = V991391 - 1. assign V685402 = V741034 + 1. assign V102713 = V056765 - 1. assign V947655 = V616882 - 1. assign V561179 = V973462 - 1. assign V131311 = V927807. assign V416017 = V637904 - 1. assign V405873 = V737222 - 1. assign V899140 = V517121 - 1. assign V846854 = V981206 + 1. assign V364103 = V062429. assign V132668 = V737222. assign V634203 = V394811. assign V451659 = V452371. assign V909710 = V583580 + 1. assign V452371 = V405873. assign V287158 = V548230. assign V419296 = V769761 + 1. assign V384609 = V387673. assign V311239 = V168222 - 1. assign V149387 = V802276 - 1. assign V777306 = V562236. assign V098952 = V817292 + 1. assign V389230 = V843137 - 1. assign V843137 = V937645. assign V056765 = V812130 + 1. assign V701823 = V246817 - 1. assign V001791 = V287158 + 1. assign V356290 = V864163. assign V314551 = V949649 - 1. assign V817292 = V774115 - 1. assign V591150 = V394811. assign V774753 = V937645. assign V716078 = V591150 + 1. assign V662010 = V558130 - 1. assign V006666 = V880380 - 1. assign V598749 = V003231 - 1. assign V247241 = V104142 + 1. assign V517121 = 10. assign V874367 = V662010 - 1. assign V062429 = V562236 - 1. assign V264304 = V325597 - 1. assign V285953 = V129994 + 1. assign V182161 = V583580. assign V680340 = V104142 + 1. assign V423001 = V712150 + 1. assign V038607 = V737222 + 1. assign V010363 = V973462 + 1. assign V723339 = V480627. assign V426042 = V352690 + 1. assign V573241 = V225354 + 1. assign V885193 = V562236 + 1. assign V912859 = V584239 - 1. assign V202793 = V405873 - 1. assign V307249 = V583580 - 1. assign V864163 = V765860 - 1. assign V843257 = V078917. assign V352690 = V956407. assign V774115 = V973462 - 1. assign V558130 = V132668 + 1. assign V981206 = V287158. assign V104142 = V452371 + 1. assign V802276 = V027557 + 1. assign V686419 = V246817 + 1. assign V418956 = V155010 - 1. assign V114486 = V202793. assign V156749 = V132668 - 1. assign V616882 = V038607 - 1. assign V078917 = V634203. assign V061280 = V056765 - 1. assign V027557 = V287158 - 1. assign V002988 = V548230 + 1. assign V158128 = V104142. assign V155010 = V777306 + 1. assign V180913 = V168222 - 1. assign V052201 = V307249 + 1. assign V412627 = V426042. assign V826071 = V765860 - 1. assign V168687 = V192927 - 1. assign V695449 = V129994 + 1. assign V692359 = V364103 - 1. assign V956407 = V846854 + 1. assign V933649 = V737222 - 1. assign V387673 = V774115. assign V991391 = V846854. assign V206309 = V202793. assign V168222 = V591150. assign V228328 = V777306. assign V332969 = V801945. assign V480627 = V591150. assign V318721 = V311239 + 1. assign V756373 = V591150 + 1. assign V525066 = V287158 + 1. assign V837179 = V003231 - 1. assign V737222 = V583580 + 1. assign V205680 = V562236. assign V637657 = V978087. assign V898849 = V039340. assign V562236 = V737222 + 1. assign V903530 = V548785 - 1. assign V978087 = V864163 + 1. assign V735895 = V701823 - 1. assign V506510 = V001791 + 1. assign V246817 = V978087 - 1. assign V745378 = V583580 + 1. assign V420298 = V132668 - 1. assign V451479 = V524560 + 1. assign V459923 = V756373. assign V765860 = V405873 + 1. assign V880380 = V056765 - 1. assign V527969 = V634203. assign V919389 = V769761. assign V745282 = V774115 + 1. assign V524560 = V062429. assign V039340 = V978087. assign V026859 = V562236. assign V730223 = V756373. assign V232068 = V965623. assign V801945 = V837179. assign V263638 = V307249 - 1. assign V794184 = V062429 - 1. assign V526702 = V801945 - 1. assign V325597 = V695449. assign V312866 = V405873. assign V741034 = V452371. assign V139071 = V202793. assign V221614 = V903530 + 1. assign V057318 = V131311 + 1. assign V367179 = V745378 - 1. assign V398895 = V583580. assign V032325 = V038607 - 1. assign V451312 = V285953 - 1. assign V548785 = V737222. assign V670293 = V287158 + 1. assign V050397 = V098952 + 1. assign V973462 = V287158 + 1. assign V893401 = V168222. assign V152019 = V129994 + 1. assign V949649 = V032325. assign V935921 = V356290. assign V003231 = V583580 - 1. assign V171662 = V777306 - 1. assign V203905 = V981206 + 1. assign V671232 = V158128 + 1. assign V394811 = V307249 + 1. assign V548230 = V394811 + 1. assign V264090 = V527969 + 1. assign V972906 = V777306 + 1. assign V958867 = V061280 + 1. assign V812130 = V634203 + 1. assign V378525 = V893401 - 1. assign V129994 = V591150 + 1. assign V712150 = V182161. assign V568016 = V903530. assign V965623 = V307249 + 1. assign V848665 = V182161 + 1. assign V636279 = V364103 - 1. assign V710017 = V057318. assign V225354 = V584239. assign V678624 = V716078 + 1. assign V584239 = V965623. assign V217208 = V367179 - 1. assign V769761 = V598749. assign V579321 = V686419 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV517121 = 10;\n\nFrom these direct assignment(s), we have: \nV899140 = V517121 - 1 = 10 - 1 =9;\nNo other variables can be derived from V899140;\nNo other variables can be derived from V517121;\n\nNow we have done all the calculations. Derived variables are:\nV517121 = 10;\nV899140 = 9;\n\nNow we have finished this problem. ANSWER:\nV899140\n", "role": "assistant" } ]

[ "V278158", "V666904" ]

[ { "content": "<context>\nassign V934048 = V465665 + 1. assign V252931 = V776194 + 1. assign V309086 = V598368 - 1. assign V653723 = V948097 + 1. assign V282195 = V708523 - 1. assign V719790 = V772127. assign V774671 = V815393. assign V461453 = V190331 - 1. assign V883447 = V994692 + 1. assign V442861 = V048768 - 1. assign V317885 = V079751. assign V302303 = V604583 - 1. assign V948097 = V247634. assign V932953 = V698533 + 1. assign V176363 = V983686 - 1. assign V680348 = V719790 + 1. assign V728068 = V424300 + 1. assign V035231 = V773240 - 1. assign V439062 = V433096 - 1. assign V848543 = V035231 - 1. assign V262883 = V509080. assign V601643 = V032520. assign V424770 = V317885. assign V013316 = V079751 + 1. assign V772127 = V773240. assign V799040 = V365315 + 1. assign V000983 = V815393 + 1. assign V586548 = V815393. assign V036790 = V894921 + 1. assign V983686 = V774671 - 1. assign V048768 = V547820. assign V703381 = V317885 - 1. assign V339657 = V796033. assign V315715 = V425239. assign V796033 = V079751 + 1. assign V053934 = V079751 - 1. assign V388693 = V510652 - 1. assign V840293 = V698533 - 1. assign V166436 = V336110 + 1. assign V041840 = V079751. assign V626811 = V774671 - 1. assign V577280 = V675456 + 1. assign V737087 = V883447 - 1. assign V835952 = V192414. assign V883609 = V433242. assign V888178 = V628488 + 1. assign V196943 = V578693 + 1. assign V694872 = V563771. assign V133660 = V840293. assign V784130 = V983703. assign V246293 = V206041. assign V723878 = V509080 - 1. assign V767519 = V815393 - 1. assign V339917 = V723878. assign V604583 = V079751. assign V435895 = V235373 - 1. assign V040263 = V703381. assign V431266 = V840293 - 1. assign V307492 = V247634 + 1. assign V278158 = 6. assign V908104 = V715494. assign V988679 = V079751 - 1. assign V922249 = V013316. assign V877980 = V767519 - 1. assign V425239 = V439062 + 1. assign V235373 = V773240. assign V666904 = V278158. assign V924769 = V013316 + 1. assign V666045 = V772115. assign V877723 = V040263 - 1. assign V598368 = V035231. assign V908488 = V070423. assign V233040 = V604583 + 1. assign V836613 = V798874 + 1. assign V675456 = V233040. assign V974314 = V821121. assign V798874 = V389926 - 1. assign V916397 = V361941. assign V233978 = V040263. assign V424300 = V666045. assign V379804 = V388693 + 1. assign V578693 = V235373 + 1. assign V714355 = V176363 + 1. assign V809297 = V577280 + 1. assign V585056 = V206041 - 1. assign V433242 = V176363 + 1. assign V328764 = V339917 + 1. assign V017455 = V388693 - 1. assign V326646 = V206041 - 1. assign V772115 = V983686. assign V951364 = V798874 + 1. assign V036899 = V666045. assign V684670 = V856947 - 1. assign V465665 = V772127. assign V776194 = V872972 - 1. assign V281628 = V214815. assign V095922 = V799040 + 1. assign V803761 = V772127 + 1. assign V547820 = V698533 + 1. assign V815393 = V123888. assign V433714 = V773240 + 1. assign V605676 = V290453 - 1. assign V876852 = V924769 + 1. assign V561330 = V365315 + 1. assign V994692 = V317885 - 1. assign V467457 = V578693 - 1. assign V856947 = V767519 + 1. assign V946433 = V675456. assign V660964 = V060381 + 1. assign V617967 = V424300 - 1. assign V219361 = V872972 + 1. assign V060381 = V461453 - 1. assign V801667 = V473847 - 1. assign V708523 = V000983 - 1. assign V171151 = V583196 + 1. assign V459280 = V815393 - 1. assign V247634 = V317885 + 1. assign V715494 = V361941 - 1. assign V987254 = V601643 - 1. assign V773240 = V206041. assign V399593 = V840293 + 1. assign V897706 = V079751 + 1. assign V365315 = V803761. assign V987942 = V176363 - 1. assign V998544 = V897706 - 1. assign V091477 = V215823 - 1. assign V206041 = V079751. assign V141621 = V924769 - 1. assign V698533 = V206041 + 1. assign V436657 = V339917. assign V008750 = V246293. assign V064451 = V336110 - 1. assign V583196 = V465665. assign V433096 = V079751 - 1. assign V361941 = V604583 + 1. assign V214815 = V491634 + 1. assign V032520 = V698533 + 1. assign V485763 = V821121 + 1. assign V768495 = V425239 - 1. assign V821121 = V247634 - 1. assign V215823 = V946433 - 1. assign V579035 = V628488. assign V872972 = V214815 + 1. assign V160203 = V872972. assign V126929 = V314117 + 1. assign V389926 = V233040 + 1. assign V509080 = V948097 - 1. assign V473847 = V924769 - 1. assign V006273 = V485763 + 1. assign V983703 = V983686 + 1. assign V940680 = V166436 + 1. assign V728903 = V948097 + 1. assign V894921 = V433096 + 1. assign V510652 = V235373. assign V574523 = V883447 - 1. assign V714868 = V361941 - 1. assign V506256 = V798874 + 1. assign V877329 = V206041 - 1. assign V079751 = V123888. assign V563771 = V723878 + 1. assign V491634 = V247634 + 1. assign V162839 = V916397 + 1. assign V075523 = V233978 - 1. assign V192414 = V389926 + 1. assign V190331 = V772115 + 1. assign V314117 = V123888 - 1. assign V290453 = V196943 - 1. assign V178379 = V510652 - 1. assign V628488 = V491634 - 1. assign V336110 = V326646 - 1. assign V070423 = V774671 + 1. assign V413677 = V192414 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V934048 = V465665 + 1. assign V252931 = V776194 + 1. assign V309086 = V598368 - 1. assign V653723 = V948097 + 1. assign V282195 = V708523 - 1. assign V719790 = V772127. assign V774671 = V815393. assign V461453 = V190331 - 1. assign V883447 = V994692 + 1. assign V442861 = V048768 - 1. assign V317885 = V079751. assign V302303 = V604583 - 1. assign V948097 = V247634. assign V932953 = V698533 + 1. assign V176363 = V983686 - 1. assign V680348 = V719790 + 1. assign V728068 = V424300 + 1. assign V035231 = V773240 - 1. assign V439062 = V433096 - 1. assign V848543 = V035231 - 1. assign V262883 = V509080. assign V601643 = V032520. assign V424770 = V317885. assign V013316 = V079751 + 1. assign V772127 = V773240. assign V799040 = V365315 + 1. assign V000983 = V815393 + 1. assign V586548 = V815393. assign V036790 = V894921 + 1. assign V983686 = V774671 - 1. assign V048768 = V547820. assign V703381 = V317885 - 1. assign V339657 = V796033. assign V315715 = V425239. assign V796033 = V079751 + 1. assign V053934 = V079751 - 1. assign V388693 = V510652 - 1. assign V840293 = V698533 - 1. assign V166436 = V336110 + 1. assign V041840 = V079751. assign V626811 = V774671 - 1. assign V577280 = V675456 + 1. assign V737087 = V883447 - 1. assign V835952 = V192414. assign V883609 = V433242. assign V888178 = V628488 + 1. assign V196943 = V578693 + 1. assign V694872 = V563771. assign V133660 = V840293. assign V784130 = V983703. assign V246293 = V206041. assign V723878 = V509080 - 1. assign V767519 = V815393 - 1. assign V339917 = V723878. assign V604583 = V079751. assign V435895 = V235373 - 1. assign V040263 = V703381. assign V431266 = V840293 - 1. assign V307492 = V247634 + 1. assign V278158 = 6. assign V908104 = V715494. assign V988679 = V079751 - 1. assign V922249 = V013316. assign V877980 = V767519 - 1. assign V425239 = V439062 + 1. assign V235373 = V773240. assign V666904 = V278158. assign V924769 = V013316 + 1. assign V666045 = V772115. assign V877723 = V040263 - 1. assign V598368 = V035231. assign V908488 = V070423. assign V233040 = V604583 + 1. assign V836613 = V798874 + 1. assign V675456 = V233040. assign V974314 = V821121. assign V798874 = V389926 - 1. assign V916397 = V361941. assign V233978 = V040263. assign V424300 = V666045. assign V379804 = V388693 + 1. assign V578693 = V235373 + 1. assign V714355 = V176363 + 1. assign V809297 = V577280 + 1. assign V585056 = V206041 - 1. assign V433242 = V176363 + 1. assign V328764 = V339917 + 1. assign V017455 = V388693 - 1. assign V326646 = V206041 - 1. assign V772115 = V983686. assign V951364 = V798874 + 1. assign V036899 = V666045. assign V684670 = V856947 - 1. assign V465665 = V772127. assign V776194 = V872972 - 1. assign V281628 = V214815. assign V095922 = V799040 + 1. assign V803761 = V772127 + 1. assign V547820 = V698533 + 1. assign V815393 = V123888. assign V433714 = V773240 + 1. assign V605676 = V290453 - 1. assign V876852 = V924769 + 1. assign V561330 = V365315 + 1. assign V994692 = V317885 - 1. assign V467457 = V578693 - 1. assign V856947 = V767519 + 1. assign V946433 = V675456. assign V660964 = V060381 + 1. assign V617967 = V424300 - 1. assign V219361 = V872972 + 1. assign V060381 = V461453 - 1. assign V801667 = V473847 - 1. assign V708523 = V000983 - 1. assign V171151 = V583196 + 1. assign V459280 = V815393 - 1. assign V247634 = V317885 + 1. assign V715494 = V361941 - 1. assign V987254 = V601643 - 1. assign V773240 = V206041. assign V399593 = V840293 + 1. assign V897706 = V079751 + 1. assign V365315 = V803761. assign V987942 = V176363 - 1. assign V998544 = V897706 - 1. assign V091477 = V215823 - 1. assign V206041 = V079751. assign V141621 = V924769 - 1. assign V698533 = V206041 + 1. assign V436657 = V339917. assign V008750 = V246293. assign V064451 = V336110 - 1. assign V583196 = V465665. assign V433096 = V079751 - 1. assign V361941 = V604583 + 1. assign V214815 = V491634 + 1. assign V032520 = V698533 + 1. assign V485763 = V821121 + 1. assign V768495 = V425239 - 1. assign V821121 = V247634 - 1. assign V215823 = V946433 - 1. assign V579035 = V628488. assign V872972 = V214815 + 1. assign V160203 = V872972. assign V126929 = V314117 + 1. assign V389926 = V233040 + 1. assign V509080 = V948097 - 1. assign V473847 = V924769 - 1. assign V006273 = V485763 + 1. assign V983703 = V983686 + 1. assign V940680 = V166436 + 1. assign V728903 = V948097 + 1. assign V894921 = V433096 + 1. assign V510652 = V235373. assign V574523 = V883447 - 1. assign V714868 = V361941 - 1. assign V506256 = V798874 + 1. assign V877329 = V206041 - 1. assign V079751 = V123888. assign V563771 = V723878 + 1. assign V491634 = V247634 + 1. assign V162839 = V916397 + 1. assign V075523 = V233978 - 1. assign V192414 = V389926 + 1. assign V190331 = V772115 + 1. assign V314117 = V123888 - 1. assign V290453 = V196943 - 1. assign V178379 = V510652 - 1. assign V628488 = V491634 - 1. assign V336110 = V326646 - 1. assign V070423 = V774671 + 1. assign V413677 = V192414 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV278158 = 6;\n\nFrom these direct assignment(s), we have: \nV666904 = V278158 = 6;\nNo other variables can be derived from V666904;\nNo other variables can be derived from V278158;\n\nNow we have done all the calculations. Derived variables are:\nV278158 = 6;\nV666904 = 6;\n\nNow we have finished this problem. ANSWER:\nV278158, V666904\n", "role": "assistant" } ]

[ "V367688" ]

[ { "content": "<context>\nassign V096910 = V970153. assign V287228 = V044483 + 1. assign V396539 = V924692 + 1. assign V180793 = V324856 + 1. assign V918952 = V044120 + 1. assign V480249 = V292160. assign V227358 = V707956 + 1. assign V256940 = V501700 - 1. assign V331824 = V055539 + 1. assign V397766 = V537840. assign V835100 = V189947. assign V699160 = V921223 - 1. assign V834227 = V580310 - 1. assign V488944 = V949560 - 1. assign V806171 = V130643 - 1. assign V629250 = V256940. assign V938873 = V042222 + 1. assign V384106 = V821005 - 1. assign V776063 = V044483 - 1. assign V882600 = V724705 + 1. assign V054718 = V050357 + 1. assign V930793 = V537840. assign V153574 = V451373 + 1. assign V216902 = V044483 + 1. assign V821005 = V933204. assign V501927 = V527438 - 1. assign V069602 = V699718 - 1. assign V407392 = V044483 - 1. assign V824670 = V572219. assign V501700 = V699718 + 1. assign V445768 = V287228. assign V615319 = V384106. assign V732618 = V180793 + 1. assign V696449 = V636165 + 1. assign V451373 = V336975 + 1. assign V864947 = V464444 + 1. assign V415112 = V115102 - 1. assign V286327 = V483144. assign V055539 = V336975 + 1. assign V092118 = V921223 + 1. assign V678284 = V451373 - 1. assign V584156 = V069602. assign V367688 = V465092 + 1. assign V124380 = V324194 - 1. assign V522421 = V936972. assign V886930 = V286327. assign V608182 = V192914 + 1. assign V017443 = V835100 - 1. assign V595220 = V336975 + 1. assign V000935 = V272566 - 1. assign V684651 = V722302 - 1. assign V599686 = V527438. assign V295479 = V483144 + 1. assign V964135 = V699718 + 1. assign V029615 = V186027 - 1. assign V557010 = V497943 - 1. assign V946659 = V299340. assign V636165 = V292160. assign V095843 = V216902 + 1. assign V524553 = V050357. assign V949560 = V153574 + 1. assign V752719 = V384106 - 1. assign V976538 = V936972. assign V376983 = V630355 + 1. assign V294801 = V936972 - 1. assign V052916 = V358278 - 1. assign V977856 = V154413. assign V992983 = V092118 - 1. assign V425199 = V835100 - 1. assign V358295 = V964714 + 1. assign V700123 = V821005. assign V050357 = V044483 + 1. assign V371187 = V115102. assign V668489 = V115102 + 1. assign V044120 = V336975. assign V580310 = V498703 + 1. assign V828195 = V964714. assign V374152 = V527438. assign V496405 = V977856 + 1. assign V630355 = V684651. assign V464444 = V050357. assign V977112 = V789206 + 1. assign V324194 = V488944 + 1. assign V483144 = V501700. assign V437940 = V789206. assign V970153 = V287228 - 1. assign V186027 = V835100. assign V489327 = V501700 - 1. assign V212528 = V806786 + 1. assign V953069 = V287228 - 1. assign V722302 = V524553 - 1. assign V813115 = V374152. assign V830405 = V358295 - 1. assign V197893 = V806786. assign V628598 = V227358 + 1. assign V066568 = V527438 + 1. assign V332060 = V776279 - 1. assign V018489 = V425199 + 1. assign V933204 = V044483. assign V106117 = V324856. assign V088027 = V678284. assign V527438 = V483144 - 1. assign V789206 = V044483. assign V044483 = V483144. assign V819248 = V483144 + 1. assign V990973 = V699160 - 1. assign V851982 = V464444. assign V537840 = V154413 + 1. assign V497943 = V442923 + 1. assign V154413 = V044483 - 1. assign V350434 = V336975 + 1. assign V773785 = V678284 + 1. assign V335750 = V806786 - 1. assign V027750 = V341204 + 1. assign V272566 = V489327. assign V341204 = V256940 + 1. assign V299340 = V501700 - 1. assign V791347 = V749561 - 1. assign V042222 = V580310 + 1. assign V285924 = V358278 - 1. assign V498703 = V489327 + 1. assign V504789 = V272566. assign V533250 = V029615 + 1. assign V358278 = V407392. assign V924692 = V483144 - 1. assign V942262 = V292160 + 1. assign V572219 = V069602 - 1. assign V311035 = V189947 + 1. assign V327697 = V311035 + 1. assign V724705 = V501927 + 1. assign V192914 = V153574 - 1. assign V409313 = V464444. assign V336975 = V946659 - 1. assign V189947 = V501700 - 1. assign V230463 = V824670 - 1. assign V465092 = 3. assign V012986 = V636165. assign V219437 = V160228 - 1. assign V073810 = V186027 - 1. assign V472064 = V835100. assign V832324 = V964714 + 1. assign V558790 = V442923 + 1. assign V921223 = V933204. assign V776279 = V501700. assign V540611 = V964714 + 1. assign V016782 = V180793 + 1. assign V285718 = V160228 + 1. assign V806786 = V707956. assign V322634 = V050357. assign V985027 = V776063 - 1. assign V197048 = V821005 + 1. assign V936972 = V197893. assign V281008 = V580310 + 1. assign V130643 = V489327 - 1. assign V324856 = V835100 + 1. assign V115102 = V501927 + 1. assign V707956 = V527438. assign V952827 = V341204. assign V195961 = V608182 + 1. assign V566003 = V851982 - 1. assign V964714 = V749561 - 1. assign V082293 = V044483 + 1. assign V312125 = V292160 - 1. assign V292160 = V445768 + 1. assign V960901 = V052916 + 1. assign V777867 = V115102 - 1. assign V160228 = V970153 + 1. assign V442923 = V189947. assign V749561 = V821005 - 1. assign V670808 = V266155 - 1. assign V497630 = V052916 - 1. assign V266155 = V819248 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V096910 = V970153. assign V287228 = V044483 + 1. assign V396539 = V924692 + 1. assign V180793 = V324856 + 1. assign V918952 = V044120 + 1. assign V480249 = V292160. assign V227358 = V707956 + 1. assign V256940 = V501700 - 1. assign V331824 = V055539 + 1. assign V397766 = V537840. assign V835100 = V189947. assign V699160 = V921223 - 1. assign V834227 = V580310 - 1. assign V488944 = V949560 - 1. assign V806171 = V130643 - 1. assign V629250 = V256940. assign V938873 = V042222 + 1. assign V384106 = V821005 - 1. assign V776063 = V044483 - 1. assign V882600 = V724705 + 1. assign V054718 = V050357 + 1. assign V930793 = V537840. assign V153574 = V451373 + 1. assign V216902 = V044483 + 1. assign V821005 = V933204. assign V501927 = V527438 - 1. assign V069602 = V699718 - 1. assign V407392 = V044483 - 1. assign V824670 = V572219. assign V501700 = V699718 + 1. assign V445768 = V287228. assign V615319 = V384106. assign V732618 = V180793 + 1. assign V696449 = V636165 + 1. assign V451373 = V336975 + 1. assign V864947 = V464444 + 1. assign V415112 = V115102 - 1. assign V286327 = V483144. assign V055539 = V336975 + 1. assign V092118 = V921223 + 1. assign V678284 = V451373 - 1. assign V584156 = V069602. assign V367688 = V465092 + 1. assign V124380 = V324194 - 1. assign V522421 = V936972. assign V886930 = V286327. assign V608182 = V192914 + 1. assign V017443 = V835100 - 1. assign V595220 = V336975 + 1. assign V000935 = V272566 - 1. assign V684651 = V722302 - 1. assign V599686 = V527438. assign V295479 = V483144 + 1. assign V964135 = V699718 + 1. assign V029615 = V186027 - 1. assign V557010 = V497943 - 1. assign V946659 = V299340. assign V636165 = V292160. assign V095843 = V216902 + 1. assign V524553 = V050357. assign V949560 = V153574 + 1. assign V752719 = V384106 - 1. assign V976538 = V936972. assign V376983 = V630355 + 1. assign V294801 = V936972 - 1. assign V052916 = V358278 - 1. assign V977856 = V154413. assign V992983 = V092118 - 1. assign V425199 = V835100 - 1. assign V358295 = V964714 + 1. assign V700123 = V821005. assign V050357 = V044483 + 1. assign V371187 = V115102. assign V668489 = V115102 + 1. assign V044120 = V336975. assign V580310 = V498703 + 1. assign V828195 = V964714. assign V374152 = V527438. assign V496405 = V977856 + 1. assign V630355 = V684651. assign V464444 = V050357. assign V977112 = V789206 + 1. assign V324194 = V488944 + 1. assign V483144 = V501700. assign V437940 = V789206. assign V970153 = V287228 - 1. assign V186027 = V835100. assign V489327 = V501700 - 1. assign V212528 = V806786 + 1. assign V953069 = V287228 - 1. assign V722302 = V524553 - 1. assign V813115 = V374152. assign V830405 = V358295 - 1. assign V197893 = V806786. assign V628598 = V227358 + 1. assign V066568 = V527438 + 1. assign V332060 = V776279 - 1. assign V018489 = V425199 + 1. assign V933204 = V044483. assign V106117 = V324856. assign V088027 = V678284. assign V527438 = V483144 - 1. assign V789206 = V044483. assign V044483 = V483144. assign V819248 = V483144 + 1. assign V990973 = V699160 - 1. assign V851982 = V464444. assign V537840 = V154413 + 1. assign V497943 = V442923 + 1. assign V154413 = V044483 - 1. assign V350434 = V336975 + 1. assign V773785 = V678284 + 1. assign V335750 = V806786 - 1. assign V027750 = V341204 + 1. assign V272566 = V489327. assign V341204 = V256940 + 1. assign V299340 = V501700 - 1. assign V791347 = V749561 - 1. assign V042222 = V580310 + 1. assign V285924 = V358278 - 1. assign V498703 = V489327 + 1. assign V504789 = V272566. assign V533250 = V029615 + 1. assign V358278 = V407392. assign V924692 = V483144 - 1. assign V942262 = V292160 + 1. assign V572219 = V069602 - 1. assign V311035 = V189947 + 1. assign V327697 = V311035 + 1. assign V724705 = V501927 + 1. assign V192914 = V153574 - 1. assign V409313 = V464444. assign V336975 = V946659 - 1. assign V189947 = V501700 - 1. assign V230463 = V824670 - 1. assign V465092 = 3. assign V012986 = V636165. assign V219437 = V160228 - 1. assign V073810 = V186027 - 1. assign V472064 = V835100. assign V832324 = V964714 + 1. assign V558790 = V442923 + 1. assign V921223 = V933204. assign V776279 = V501700. assign V540611 = V964714 + 1. assign V016782 = V180793 + 1. assign V285718 = V160228 + 1. assign V806786 = V707956. assign V322634 = V050357. assign V985027 = V776063 - 1. assign V197048 = V821005 + 1. assign V936972 = V197893. assign V281008 = V580310 + 1. assign V130643 = V489327 - 1. assign V324856 = V835100 + 1. assign V115102 = V501927 + 1. assign V707956 = V527438. assign V952827 = V341204. assign V195961 = V608182 + 1. assign V566003 = V851982 - 1. assign V964714 = V749561 - 1. assign V082293 = V044483 + 1. assign V312125 = V292160 - 1. assign V292160 = V445768 + 1. assign V960901 = V052916 + 1. assign V777867 = V115102 - 1. assign V160228 = V970153 + 1. assign V442923 = V189947. assign V749561 = V821005 - 1. assign V670808 = V266155 - 1. assign V497630 = V052916 - 1. assign V266155 = V819248 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV465092 = 3;\n\nFrom these direct assignment(s), we have: \nV367688 = V465092 + 1 = 3 + 1 =4;\nNo other variables can be derived from V367688;\nNo other variables can be derived from V465092;\n\nNow we have done all the calculations. Derived variables are:\nV465092 = 3;\nV367688 = 4;\n\nNow we have finished this problem. ANSWER:\nV367688\n", "role": "assistant" } ]

[ "V046298", "V454931" ]

[ { "content": "<context>\nassign V442649 = V311177 - 1. assign V608792 = V490097. assign V153910 = V945263 + 1. assign V612411 = V422478. assign V812082 = V258791 - 1. assign V603074 = V496888 + 1. assign V190664 = V193777 - 1. assign V802007 = V345990 - 1. assign V998184 = V526873. assign V793152 = V059203. assign V347134 = V160068 - 1. assign V393395 = V519351. assign V842991 = V145382. assign V035766 = V760702. assign V760702 = V078035 - 1. assign V021616 = V434428 - 1. assign V151487 = V383934. assign V961465 = V092496. assign V092496 = V284198. assign V210938 = V857967 + 1. assign V964914 = V782965 + 1. assign V018784 = V603074 + 1. assign V581112 = V024016 + 1. assign V019402 = V856971 - 1. assign V480804 = V603074 - 1. assign V160068 = V688485 - 1. assign V408821 = V496888 + 1. assign V957604 = V408821 + 1. assign V028059 = V210938. assign V505503 = V611984. assign V997508 = V757161. assign V085458 = V465586 + 1. assign V623298 = V688485. assign V284198 = V490097 - 1. assign V879292 = V510927 - 1. assign V883970 = V657513 - 1. assign V856971 = V396953 + 1. assign V347090 = V296072. assign V953501 = V039547. assign V860078 = V688485 + 1. assign V424607 = V434428 - 1. assign V456582 = V263850 - 1. assign V519351 = V998184. assign V880690 = V608792 - 1. assign V117105 = V510927 - 1. assign V345990 = V284198. assign V221949 = V688485. assign V934128 = V276287 + 1. assign V714843 = V611984. assign V845348 = V424607. assign V296072 = V917820 - 1. assign V801746 = V730673 + 1. assign V422267 = V311177 - 1. assign V302618 = V581112. assign V393819 = V258791. assign V950039 = V453030 + 1. assign V454931 = V046298. assign V621825 = V998184. assign V130455 = V284198. assign V609458 = V780979. assign V973508 = V505503 - 1. assign V024016 = V221949 + 1. assign V964217 = V160068 + 1. assign V557397 = V311177 - 1. assign V205760 = V145382 + 1. assign V510927 = V130455 - 1. assign V740735 = V390537 + 1. assign V402593 = V345990 - 1. assign V484610 = V717056 + 1. assign V792409 = V155760 - 1. assign V400343 = V422478 - 1. assign V333835 = V845348 + 1. assign V395524 = V880690 + 1. assign V733519 = V003792. assign V657513 = V092496. assign V059203 = V496888 - 1. assign V956169 = V028059 - 1. assign V842591 = V418870 - 1. assign V636432 = V891439 + 1. assign V500761 = V092496 + 1. assign V015940 = V387467 - 1. assign V434428 = V688485 - 1. assign V845768 = V424607. assign V019217 = V780979 + 1. assign V281825 = V574305 + 1. assign V253480 = V557397 + 1. assign V730673 = V842591. assign V383934 = V387467 - 1. assign V659721 = V760702 + 1. assign V081543 = V490097. assign V946485 = V434428. assign V932594 = V636438 + 1. assign V263850 = V772344 - 1. assign V326526 = V345990 + 1. assign V231260 = V630122 - 1. assign V263865 = V096221 + 1. assign V688485 = V284198 - 1. assign V003792 = V130455 - 1. assign V757161 = V160068. assign V396953 = V588585 + 1. assign V737837 = V808436. assign V078035 = V490097 + 1. assign V046298 = 7. assign V983187 = V808436. assign V782965 = V757161. assign V425625 = V865412. assign V020528 = V588585 - 1. assign V418870 = V946485 + 1. assign V772344 = V153910 - 1. assign V884050 = V153910. assign V214065 = V284198. assign V717056 = V759616. assign V607622 = V160068 + 1. assign V276287 = V945263 + 1. assign V857967 = V588585 - 1. assign V313717 = V039547. assign V891439 = V078035 - 1. assign V780979 = V396953 + 1. assign V453030 = V387467 + 1. assign V390537 = V059203. assign V630122 = V333835 + 1. assign V258791 = V957604 + 1. assign V526873 = V759616. assign V616766 = V092496 + 1. assign V193777 = V360254. assign V917820 = V258791 - 1. assign V096221 = V756297 + 1. assign V490837 = V957604 - 1. assign V792609 = V945263. assign V155760 = V973508. assign V674528 = V574305 + 1. assign V680133 = V505503 - 1. assign V574305 = V588585. assign V040066 = V101494 - 1. assign V808436 = V130455 + 1. assign V604563 = V284198 + 1. assign V891445 = V842591 - 1. assign V347280 = V258791 - 1. assign V027344 = V607622 + 1. assign V014983 = V193777. assign V360254 = V490097. assign V677358 = V078035. assign V636438 = V284198 - 1. assign V387467 = V860078 - 1. assign V611984 = V945263 + 1. assign V499104 = V793152. assign V967004 = V757161. assign V465586 = V347280 - 1. assign V583712 = V782965 + 1. assign V406725 = V792609 - 1. assign V414566 = V020528. assign V756297 = V347134 + 1. assign V242223 = V024016 - 1. assign V623728 = V040066. assign V738621 = V505503 + 1. assign V311177 = V422478 - 1. assign V204334 = V946485 + 1. assign V819616 = V424607 + 1. assign V039547 = V408821 + 1. assign V155215 = V998184. assign V968152 = V281825 - 1. assign V080860 = V611984 + 1. assign V422478 = V860078. assign V341397 = V422478 + 1. assign V145382 = V757161 - 1. assign V101494 = V714843 + 1. assign V356914 = V018784. assign V865412 = V611984 - 1. assign V945263 = V588585 + 1. assign V759616 = V623298 + 1. assign V496888 = V347134 + 1. assign V588585 = V490097 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V442649 = V311177 - 1. assign V608792 = V490097. assign V153910 = V945263 + 1. assign V612411 = V422478. assign V812082 = V258791 - 1. assign V603074 = V496888 + 1. assign V190664 = V193777 - 1. assign V802007 = V345990 - 1. assign V998184 = V526873. assign V793152 = V059203. assign V347134 = V160068 - 1. assign V393395 = V519351. assign V842991 = V145382. assign V035766 = V760702. assign V760702 = V078035 - 1. assign V021616 = V434428 - 1. assign V151487 = V383934. assign V961465 = V092496. assign V092496 = V284198. assign V210938 = V857967 + 1. assign V964914 = V782965 + 1. assign V018784 = V603074 + 1. assign V581112 = V024016 + 1. assign V019402 = V856971 - 1. assign V480804 = V603074 - 1. assign V160068 = V688485 - 1. assign V408821 = V496888 + 1. assign V957604 = V408821 + 1. assign V028059 = V210938. assign V505503 = V611984. assign V997508 = V757161. assign V085458 = V465586 + 1. assign V623298 = V688485. assign V284198 = V490097 - 1. assign V879292 = V510927 - 1. assign V883970 = V657513 - 1. assign V856971 = V396953 + 1. assign V347090 = V296072. assign V953501 = V039547. assign V860078 = V688485 + 1. assign V424607 = V434428 - 1. assign V456582 = V263850 - 1. assign V519351 = V998184. assign V880690 = V608792 - 1. assign V117105 = V510927 - 1. assign V345990 = V284198. assign V221949 = V688485. assign V934128 = V276287 + 1. assign V714843 = V611984. assign V845348 = V424607. assign V296072 = V917820 - 1. assign V801746 = V730673 + 1. assign V422267 = V311177 - 1. assign V302618 = V581112. assign V393819 = V258791. assign V950039 = V453030 + 1. assign V454931 = V046298. assign V621825 = V998184. assign V130455 = V284198. assign V609458 = V780979. assign V973508 = V505503 - 1. assign V024016 = V221949 + 1. assign V964217 = V160068 + 1. assign V557397 = V311177 - 1. assign V205760 = V145382 + 1. assign V510927 = V130455 - 1. assign V740735 = V390537 + 1. assign V402593 = V345990 - 1. assign V484610 = V717056 + 1. assign V792409 = V155760 - 1. assign V400343 = V422478 - 1. assign V333835 = V845348 + 1. assign V395524 = V880690 + 1. assign V733519 = V003792. assign V657513 = V092496. assign V059203 = V496888 - 1. assign V956169 = V028059 - 1. assign V842591 = V418870 - 1. assign V636432 = V891439 + 1. assign V500761 = V092496 + 1. assign V015940 = V387467 - 1. assign V434428 = V688485 - 1. assign V845768 = V424607. assign V019217 = V780979 + 1. assign V281825 = V574305 + 1. assign V253480 = V557397 + 1. assign V730673 = V842591. assign V383934 = V387467 - 1. assign V659721 = V760702 + 1. assign V081543 = V490097. assign V946485 = V434428. assign V932594 = V636438 + 1. assign V263850 = V772344 - 1. assign V326526 = V345990 + 1. assign V231260 = V630122 - 1. assign V263865 = V096221 + 1. assign V688485 = V284198 - 1. assign V003792 = V130455 - 1. assign V757161 = V160068. assign V396953 = V588585 + 1. assign V737837 = V808436. assign V078035 = V490097 + 1. assign V046298 = 7. assign V983187 = V808436. assign V782965 = V757161. assign V425625 = V865412. assign V020528 = V588585 - 1. assign V418870 = V946485 + 1. assign V772344 = V153910 - 1. assign V884050 = V153910. assign V214065 = V284198. assign V717056 = V759616. assign V607622 = V160068 + 1. assign V276287 = V945263 + 1. assign V857967 = V588585 - 1. assign V313717 = V039547. assign V891439 = V078035 - 1. assign V780979 = V396953 + 1. assign V453030 = V387467 + 1. assign V390537 = V059203. assign V630122 = V333835 + 1. assign V258791 = V957604 + 1. assign V526873 = V759616. assign V616766 = V092496 + 1. assign V193777 = V360254. assign V917820 = V258791 - 1. assign V096221 = V756297 + 1. assign V490837 = V957604 - 1. assign V792609 = V945263. assign V155760 = V973508. assign V674528 = V574305 + 1. assign V680133 = V505503 - 1. assign V574305 = V588585. assign V040066 = V101494 - 1. assign V808436 = V130455 + 1. assign V604563 = V284198 + 1. assign V891445 = V842591 - 1. assign V347280 = V258791 - 1. assign V027344 = V607622 + 1. assign V014983 = V193777. assign V360254 = V490097. assign V677358 = V078035. assign V636438 = V284198 - 1. assign V387467 = V860078 - 1. assign V611984 = V945263 + 1. assign V499104 = V793152. assign V967004 = V757161. assign V465586 = V347280 - 1. assign V583712 = V782965 + 1. assign V406725 = V792609 - 1. assign V414566 = V020528. assign V756297 = V347134 + 1. assign V242223 = V024016 - 1. assign V623728 = V040066. assign V738621 = V505503 + 1. assign V311177 = V422478 - 1. assign V204334 = V946485 + 1. assign V819616 = V424607 + 1. assign V039547 = V408821 + 1. assign V155215 = V998184. assign V968152 = V281825 - 1. assign V080860 = V611984 + 1. assign V422478 = V860078. assign V341397 = V422478 + 1. assign V145382 = V757161 - 1. assign V101494 = V714843 + 1. assign V356914 = V018784. assign V865412 = V611984 - 1. assign V945263 = V588585 + 1. assign V759616 = V623298 + 1. assign V496888 = V347134 + 1. assign V588585 = V490097 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV046298 = 7;\n\nFrom these direct assignment(s), we have: \nV454931 = V046298 = 7;\nNo other variables can be derived from V454931;\nNo other variables can be derived from V046298;\n\nNow we have done all the calculations. Derived variables are:\nV046298 = 7;\nV454931 = 7;\n\nNow we have finished this problem. ANSWER:\nV046298, V454931\n", "role": "assistant" } ]

[ "V029739" ]

[ { "content": "<context>\nassign V509081 = V183102 + 1. assign V091162 = V007183. assign V324838 = V993399 - 1. assign V068696 = V748351. assign V230171 = V103725. assign V576488 = V540688 - 1. assign V471576 = V183102. assign V360051 = V354102 + 1. assign V763976 = V300459 - 1. assign V706935 = V208209. assign V922376 = V752375 - 1. assign V383470 = V549568 + 1. assign V630315 = V515409. assign V201506 = V382555 - 1. assign V515409 = V007183 + 1. assign V785529 = V968363 + 1. assign V785949 = V250869 + 1. assign V201469 = V109541 + 1. assign V027618 = V099918 - 1. assign V529808 = V900062 - 1. assign V392885 = V389108. assign V164173 = V555855. assign V002376 = V300459 - 1. assign V462572 = V441036 - 1. assign V131919 = V272342 + 1. assign V496941 = V300459 - 1. assign V746123 = V002376 - 1. assign V374949 = V082333. assign V020208 = V054275. assign V300459 = V354102. assign V534791 = V708495 - 1. assign V047561 = V272342 - 1. assign V248961 = V467197. assign V440987 = V661216 - 1. assign V630599 = V082333 - 1. assign V441036 = V922376. assign V779442 = V201469 - 1. assign V245435 = V914935 - 1. assign V103725 = V002376. assign V532713 = V109541 + 1. assign V085449 = V007183 + 1. assign V802647 = V967514 - 1. assign V615819 = V007183. assign V994464 = V008080 + 1. assign V803643 = V967514. assign V400375 = V180119 + 1. assign V359109 = V109541. assign V591243 = V002376 + 1. assign V914935 = V545142 + 1. assign V627449 = V555855 + 1. assign V549568 = V967514. assign V968363 = V201469 - 1. assign V540688 = V734473 - 1. assign V912406 = V128613. assign V640317 = V581958 + 1. assign V654799 = V233627. assign V108505 = V467197 + 1. assign V563638 = V802647. assign V109541 = V540688. assign V624592 = V896593 + 1. assign V616291 = V372301. assign V029739 = 4. assign V128613 = V780115 + 1. assign V878313 = V874850 - 1. assign V439372 = V233627 - 1. assign V752375 = V967514 - 1. assign V303573 = V748351 + 1. assign V354102 = V540688 - 1. assign V545142 = V300459 + 1. assign V139431 = V615819 + 1. assign V382223 = V540688 + 1. assign V748351 = V359109 - 1. assign V740416 = V914935 + 1. assign V286364 = V669897 - 1. assign V615196 = V404768 + 1. assign V147451 = V545142. assign V338493 = V624592 + 1. assign V912893 = V201469 - 1. assign V661216 = V300459 - 1. assign V298191 = V272342 - 1. assign V993399 = V872089 + 1. assign V471407 = V515409 - 1. assign V393689 = V048998 + 1. assign V180119 = V048998. assign V763143 = V784757. assign V592434 = V393689 - 1. assign V934413 = V233627 - 1. assign V343811 = V900062 + 1. assign V358794 = V471407 - 1. assign V130825 = V441036 + 1. assign V183102 = V763976. assign V781801 = V471576 - 1. assign V040110 = V640317 - 1. assign V467197 = V540688 + 1. assign V780115 = V360051. assign V340875 = V298191. assign V272342 = V734473 + 1. assign V581958 = V354102 - 1. assign V208209 = V779442. assign V490308 = V007183. assign V032012 = V908572 + 1. assign V500475 = V359109 - 1. assign V911273 = V490308 - 1. assign V382555 = V471407. assign V099918 = V463578 - 1. assign V874850 = V044898. assign V402289 = V343811. assign V799344 = V599282. assign V048998 = V967514 - 1. assign V605793 = V372433 - 1. assign V970142 = V298191 + 1. assign V669897 = V109541. assign V963098 = V022221 - 1. assign V896593 = V734473 + 1. assign V486079 = V274389 + 1. assign V510568 = V300459 - 1. assign V595202 = V382555 + 1. assign V470383 = V026815 - 1. assign V134923 = V048998 - 1. assign V870825 = V002376. assign V274389 = V441036 - 1. assign V008080 = V896593 + 1. assign V082333 = V740416. assign V764019 = V044898 - 1. assign V847505 = V937626 + 1. assign V763091 = V599282 + 1. assign V463578 = V914935. assign V521724 = V540688 - 1. assign V603533 = V599282 - 1. assign V006328 = V404768 - 1. assign V536481 = V007183 + 1. assign V708495 = V360051 + 1. assign V379813 = V668854 - 1. assign V389108 = V748351 - 1. assign V233627 = V272342 + 1. assign V908572 = V372301 + 1. assign V380442 = V338493 + 1. assign V404768 = V007183 + 1. assign V599282 = V803643 - 1. assign V616710 = V490308. assign V250869 = V099918 - 1. assign V026815 = V007183 - 1. assign V967514 = V002376 + 1. assign V801100 = V734473 - 1. assign V692699 = V900062 + 1. assign V657271 = V708495 - 1. assign V726156 = V393689 - 1. assign V844545 = V139431. assign V372301 = V591243 + 1. assign V802055 = V763976 + 1. assign V944441 = V967514. assign V585251 = V393689 - 1. assign V007183 = V896593 - 1. assign V050800 = V008080 - 1. assign V391557 = V029739 + 1. assign V668854 = V471407. assign V555855 = V007183. assign V271989 = V529808. assign V507431 = V576488 - 1. assign V872089 = V763976 - 1. assign V784757 = V130825. assign V044898 = V545142 + 1. assign V869020 = V471576. assign V913265 = V068696 + 1. assign V536515 = V784757. assign V937626 = V300459 - 1. assign V054275 = V007183 + 1. assign V900062 = V050800 + 1. assign V246886 = V099918. assign V988083 = V393689 - 1. assign V372433 = V509081. assign V022221 = V091162 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V509081 = V183102 + 1. assign V091162 = V007183. assign V324838 = V993399 - 1. assign V068696 = V748351. assign V230171 = V103725. assign V576488 = V540688 - 1. assign V471576 = V183102. assign V360051 = V354102 + 1. assign V763976 = V300459 - 1. assign V706935 = V208209. assign V922376 = V752375 - 1. assign V383470 = V549568 + 1. assign V630315 = V515409. assign V201506 = V382555 - 1. assign V515409 = V007183 + 1. assign V785529 = V968363 + 1. assign V785949 = V250869 + 1. assign V201469 = V109541 + 1. assign V027618 = V099918 - 1. assign V529808 = V900062 - 1. assign V392885 = V389108. assign V164173 = V555855. assign V002376 = V300459 - 1. assign V462572 = V441036 - 1. assign V131919 = V272342 + 1. assign V496941 = V300459 - 1. assign V746123 = V002376 - 1. assign V374949 = V082333. assign V020208 = V054275. assign V300459 = V354102. assign V534791 = V708495 - 1. assign V047561 = V272342 - 1. assign V248961 = V467197. assign V440987 = V661216 - 1. assign V630599 = V082333 - 1. assign V441036 = V922376. assign V779442 = V201469 - 1. assign V245435 = V914935 - 1. assign V103725 = V002376. assign V532713 = V109541 + 1. assign V085449 = V007183 + 1. assign V802647 = V967514 - 1. assign V615819 = V007183. assign V994464 = V008080 + 1. assign V803643 = V967514. assign V400375 = V180119 + 1. assign V359109 = V109541. assign V591243 = V002376 + 1. assign V914935 = V545142 + 1. assign V627449 = V555855 + 1. assign V549568 = V967514. assign V968363 = V201469 - 1. assign V540688 = V734473 - 1. assign V912406 = V128613. assign V640317 = V581958 + 1. assign V654799 = V233627. assign V108505 = V467197 + 1. assign V563638 = V802647. assign V109541 = V540688. assign V624592 = V896593 + 1. assign V616291 = V372301. assign V029739 = 4. assign V128613 = V780115 + 1. assign V878313 = V874850 - 1. assign V439372 = V233627 - 1. assign V752375 = V967514 - 1. assign V303573 = V748351 + 1. assign V354102 = V540688 - 1. assign V545142 = V300459 + 1. assign V139431 = V615819 + 1. assign V382223 = V540688 + 1. assign V748351 = V359109 - 1. assign V740416 = V914935 + 1. assign V286364 = V669897 - 1. assign V615196 = V404768 + 1. assign V147451 = V545142. assign V338493 = V624592 + 1. assign V912893 = V201469 - 1. assign V661216 = V300459 - 1. assign V298191 = V272342 - 1. assign V993399 = V872089 + 1. assign V471407 = V515409 - 1. assign V393689 = V048998 + 1. assign V180119 = V048998. assign V763143 = V784757. assign V592434 = V393689 - 1. assign V934413 = V233627 - 1. assign V343811 = V900062 + 1. assign V358794 = V471407 - 1. assign V130825 = V441036 + 1. assign V183102 = V763976. assign V781801 = V471576 - 1. assign V040110 = V640317 - 1. assign V467197 = V540688 + 1. assign V780115 = V360051. assign V340875 = V298191. assign V272342 = V734473 + 1. assign V581958 = V354102 - 1. assign V208209 = V779442. assign V490308 = V007183. assign V032012 = V908572 + 1. assign V500475 = V359109 - 1. assign V911273 = V490308 - 1. assign V382555 = V471407. assign V099918 = V463578 - 1. assign V874850 = V044898. assign V402289 = V343811. assign V799344 = V599282. assign V048998 = V967514 - 1. assign V605793 = V372433 - 1. assign V970142 = V298191 + 1. assign V669897 = V109541. assign V963098 = V022221 - 1. assign V896593 = V734473 + 1. assign V486079 = V274389 + 1. assign V510568 = V300459 - 1. assign V595202 = V382555 + 1. assign V470383 = V026815 - 1. assign V134923 = V048998 - 1. assign V870825 = V002376. assign V274389 = V441036 - 1. assign V008080 = V896593 + 1. assign V082333 = V740416. assign V764019 = V044898 - 1. assign V847505 = V937626 + 1. assign V763091 = V599282 + 1. assign V463578 = V914935. assign V521724 = V540688 - 1. assign V603533 = V599282 - 1. assign V006328 = V404768 - 1. assign V536481 = V007183 + 1. assign V708495 = V360051 + 1. assign V379813 = V668854 - 1. assign V389108 = V748351 - 1. assign V233627 = V272342 + 1. assign V908572 = V372301 + 1. assign V380442 = V338493 + 1. assign V404768 = V007183 + 1. assign V599282 = V803643 - 1. assign V616710 = V490308. assign V250869 = V099918 - 1. assign V026815 = V007183 - 1. assign V967514 = V002376 + 1. assign V801100 = V734473 - 1. assign V692699 = V900062 + 1. assign V657271 = V708495 - 1. assign V726156 = V393689 - 1. assign V844545 = V139431. assign V372301 = V591243 + 1. assign V802055 = V763976 + 1. assign V944441 = V967514. assign V585251 = V393689 - 1. assign V007183 = V896593 - 1. assign V050800 = V008080 - 1. assign V391557 = V029739 + 1. assign V668854 = V471407. assign V555855 = V007183. assign V271989 = V529808. assign V507431 = V576488 - 1. assign V872089 = V763976 - 1. assign V784757 = V130825. assign V044898 = V545142 + 1. assign V869020 = V471576. assign V913265 = V068696 + 1. assign V536515 = V784757. assign V937626 = V300459 - 1. assign V054275 = V007183 + 1. assign V900062 = V050800 + 1. assign V246886 = V099918. assign V988083 = V393689 - 1. assign V372433 = V509081. assign V022221 = V091162 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV029739 = 4;\n\nFrom these direct assignment(s), we have: \nV391557 = V029739 + 1 = 4 + 1 =5;\nNo other variables can be derived from V391557;\nNo other variables can be derived from V029739;\n\nNow we have done all the calculations. Derived variables are:\nV029739 = 4;\nV391557 = 5;\n\nNow we have finished this problem. ANSWER:\nV029739\n", "role": "assistant" } ]

[ "V891217" ]

[ { "content": "<context>\nassign V536220 = V617701 - 1. assign V185083 = V266418 + 1. assign V683905 = V055421 + 1. assign V985414 = V492400 - 1. assign V904952 = V422561. assign V921839 = V458267. assign V232202 = V873446 + 1. assign V745608 = V022530 - 1. assign V955306 = V045439 - 1. assign V125677 = V846436 - 1. assign V354224 = V245377. assign V235405 = V583804. assign V245377 = V188065 - 1. assign V929524 = V405160. assign V172146 = V004296 + 1. assign V159710 = V004296 + 1. assign V452612 = V285713. assign V592993 = V699725 + 1. assign V749679 = V974639 + 1. assign V402500 = V315977. assign V265252 = V280077. assign V365925 = V056410. assign V863967 = V088866 + 1. assign V801632 = V226792. assign V272641 = V022530 + 1. assign V779666 = V424443 - 1. assign V657774 = V507421 - 1. assign V118654 = V783636 - 1. assign V280077 = V458267 + 1. assign V234074 = V751779 - 1. assign V053395 = V963768 + 1. assign V466802 = V821384 + 1. assign V499496 = V659657. assign V343657 = V789391. assign V087465 = V749679. assign V360563 = 3. assign V424443 = V270732 + 1. assign V303079 = V208909 - 1. assign V240398 = V125677 - 1. assign V004296 = V592604 - 1. assign V699725 = V424443 - 1. assign V088866 = V848998 - 1. assign V810893 = V678793 - 1. assign V843657 = V452612 + 1. assign V955662 = V983691. assign V689357 = V915628 + 1. assign V170488 = V315977. assign V097922 = V488265. assign V318851 = V055421. assign V752625 = V508508. assign V925014 = V970199 - 1. assign V488265 = V055421 - 1. assign V552684 = V045439. assign V970160 = V122879 - 1. assign V263514 = V295227 - 1. assign V188065 = V315977 + 1. assign V202633 = V523516. assign V138539 = V466469. assign V329319 = V188065 - 1. assign V770972 = V830130 - 1. assign V287675 = V862246 + 1. assign V519984 = V975913 - 1. assign V902176 = V088866 - 1. assign V226117 = V315977. assign V983691 = V170488 + 1. assign V447256 = V915628 + 1. assign V659657 = V848998 - 1. assign V130953 = V088866. assign V062555 = V975913 - 1. assign V066395 = V508508 + 1. assign V792563 = V975913. assign V617701 = V022530 + 1. assign V975718 = V172146 + 1. assign V122879 = V329319 + 1. assign V226792 = V272641 + 1. assign V028619 = V138539 - 1. assign V078490 = V263514 - 1. assign V612696 = V322047 + 1. assign V830130 = V915628 + 1. assign V963768 = V689357 + 1. assign V155730 = V746019 + 1. assign V167926 = V792563. assign V508508 = V295227 + 1. assign V030996 = V179554 + 1. assign V554597 = V179554 - 1. assign V315977 = V821548 + 1. assign V751779 = V975913. assign V982376 = V447256 - 1. assign V149874 = V921839. assign V381585 = V975913 - 1. assign V285713 = V424443 - 1. assign V045439 = V873446 - 1. assign V056410 = V612002. assign V846436 = V188065 - 1. assign V678793 = V329319 + 1. assign V266418 = V974639 + 1. assign V848998 = V270732 - 1. assign V430117 = V779666 - 1. assign V796890 = V109664 - 1. assign V422561 = V280077 + 1. assign V789391 = V873446. assign V270140 = V689357 + 1. assign V627044 = V272641 - 1. assign V368619 = V975718 - 1. assign V865330 = V707756 - 1. assign V975913 = V466469. assign V974639 = V315977 + 1. assign V528921 = V779666 + 1. assign V691367 = V783636. assign V507008 = V088866 + 1. assign V270732 = V315977 - 1. assign V142040 = V491194 - 1. assign V507421 = V295227 + 1. assign V677278 = V627044. assign V236704 = V929524 - 1. assign V862246 = V106224. assign V766600 = V179554. assign V109664 = V915628 - 1. assign V523516 = V159710. assign V296041 = V285713 + 1. assign V208909 = V285713 - 1. assign V322047 = V921839. assign V994040 = V122879. assign V306942 = V400706. assign V583804 = V014603 - 1. assign V873446 = V821548. assign V458267 = V873446 - 1. assign V176606 = V528921 + 1. assign V612002 = V466469 + 1. assign V653530 = V270732. assign V334982 = V142040 + 1. assign V600461 = V315977. assign V179554 = V055421. assign V086835 = V970199 + 1. assign V956631 = V716854 - 1. assign V716854 = V925014. assign V014603 = V488265. assign V433485 = V226117. assign V380266 = V921839 + 1. assign V033642 = V873446. assign V375908 = V045439 + 1. assign V405160 = V430117 - 1. assign V592604 = V846436 - 1. assign V022530 = V159710 + 1. assign V915628 = V846436 - 1. assign V707502 = V130953 + 1. assign V400706 = V796890 + 1. assign V906048 = V974639. assign V678788 = V118654. assign V492400 = V045439. assign V086733 = V125677 - 1. assign V015842 = V653530 + 1. assign V055421 = V270732. assign V707756 = V796890 + 1. assign V471678 = V963768 - 1. assign V550802 = V821548. assign V783636 = V343657 + 1. assign V295227 = V424443 + 1. assign V610610 = V433485 - 1. assign V486589 = V801632 + 1. assign V746019 = V751779 + 1. assign V407018 = V400706 - 1. assign V491194 = V272641 + 1. assign V821384 = V106224 + 1. assign V466469 = V592604 + 1. assign V106224 = V821548 + 1. assign V493132 = V424443 + 1. assign V891217 = V360563 + 1. assign V937995 = V507008 + 1. assign V970199 = V138539 - 1. assign V616884 = V400706. assign V660861 = V751779 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V536220 = V617701 - 1. assign V185083 = V266418 + 1. assign V683905 = V055421 + 1. assign V985414 = V492400 - 1. assign V904952 = V422561. assign V921839 = V458267. assign V232202 = V873446 + 1. assign V745608 = V022530 - 1. assign V955306 = V045439 - 1. assign V125677 = V846436 - 1. assign V354224 = V245377. assign V235405 = V583804. assign V245377 = V188065 - 1. assign V929524 = V405160. assign V172146 = V004296 + 1. assign V159710 = V004296 + 1. assign V452612 = V285713. assign V592993 = V699725 + 1. assign V749679 = V974639 + 1. assign V402500 = V315977. assign V265252 = V280077. assign V365925 = V056410. assign V863967 = V088866 + 1. assign V801632 = V226792. assign V272641 = V022530 + 1. assign V779666 = V424443 - 1. assign V657774 = V507421 - 1. assign V118654 = V783636 - 1. assign V280077 = V458267 + 1. assign V234074 = V751779 - 1. assign V053395 = V963768 + 1. assign V466802 = V821384 + 1. assign V499496 = V659657. assign V343657 = V789391. assign V087465 = V749679. assign V360563 = 3. assign V424443 = V270732 + 1. assign V303079 = V208909 - 1. assign V240398 = V125677 - 1. assign V004296 = V592604 - 1. assign V699725 = V424443 - 1. assign V088866 = V848998 - 1. assign V810893 = V678793 - 1. assign V843657 = V452612 + 1. assign V955662 = V983691. assign V689357 = V915628 + 1. assign V170488 = V315977. assign V097922 = V488265. assign V318851 = V055421. assign V752625 = V508508. assign V925014 = V970199 - 1. assign V488265 = V055421 - 1. assign V552684 = V045439. assign V970160 = V122879 - 1. assign V263514 = V295227 - 1. assign V188065 = V315977 + 1. assign V202633 = V523516. assign V138539 = V466469. assign V329319 = V188065 - 1. assign V770972 = V830130 - 1. assign V287675 = V862246 + 1. assign V519984 = V975913 - 1. assign V902176 = V088866 - 1. assign V226117 = V315977. assign V983691 = V170488 + 1. assign V447256 = V915628 + 1. assign V659657 = V848998 - 1. assign V130953 = V088866. assign V062555 = V975913 - 1. assign V066395 = V508508 + 1. assign V792563 = V975913. assign V617701 = V022530 + 1. assign V975718 = V172146 + 1. assign V122879 = V329319 + 1. assign V226792 = V272641 + 1. assign V028619 = V138539 - 1. assign V078490 = V263514 - 1. assign V612696 = V322047 + 1. assign V830130 = V915628 + 1. assign V963768 = V689357 + 1. assign V155730 = V746019 + 1. assign V167926 = V792563. assign V508508 = V295227 + 1. assign V030996 = V179554 + 1. assign V554597 = V179554 - 1. assign V315977 = V821548 + 1. assign V751779 = V975913. assign V982376 = V447256 - 1. assign V149874 = V921839. assign V381585 = V975913 - 1. assign V285713 = V424443 - 1. assign V045439 = V873446 - 1. assign V056410 = V612002. assign V846436 = V188065 - 1. assign V678793 = V329319 + 1. assign V266418 = V974639 + 1. assign V848998 = V270732 - 1. assign V430117 = V779666 - 1. assign V796890 = V109664 - 1. assign V422561 = V280077 + 1. assign V789391 = V873446. assign V270140 = V689357 + 1. assign V627044 = V272641 - 1. assign V368619 = V975718 - 1. assign V865330 = V707756 - 1. assign V975913 = V466469. assign V974639 = V315977 + 1. assign V528921 = V779666 + 1. assign V691367 = V783636. assign V507008 = V088866 + 1. assign V270732 = V315977 - 1. assign V142040 = V491194 - 1. assign V507421 = V295227 + 1. assign V677278 = V627044. assign V236704 = V929524 - 1. assign V862246 = V106224. assign V766600 = V179554. assign V109664 = V915628 - 1. assign V523516 = V159710. assign V296041 = V285713 + 1. assign V208909 = V285713 - 1. assign V322047 = V921839. assign V994040 = V122879. assign V306942 = V400706. assign V583804 = V014603 - 1. assign V873446 = V821548. assign V458267 = V873446 - 1. assign V176606 = V528921 + 1. assign V612002 = V466469 + 1. assign V653530 = V270732. assign V334982 = V142040 + 1. assign V600461 = V315977. assign V179554 = V055421. assign V086835 = V970199 + 1. assign V956631 = V716854 - 1. assign V716854 = V925014. assign V014603 = V488265. assign V433485 = V226117. assign V380266 = V921839 + 1. assign V033642 = V873446. assign V375908 = V045439 + 1. assign V405160 = V430117 - 1. assign V592604 = V846436 - 1. assign V022530 = V159710 + 1. assign V915628 = V846436 - 1. assign V707502 = V130953 + 1. assign V400706 = V796890 + 1. assign V906048 = V974639. assign V678788 = V118654. assign V492400 = V045439. assign V086733 = V125677 - 1. assign V015842 = V653530 + 1. assign V055421 = V270732. assign V707756 = V796890 + 1. assign V471678 = V963768 - 1. assign V550802 = V821548. assign V783636 = V343657 + 1. assign V295227 = V424443 + 1. assign V610610 = V433485 - 1. assign V486589 = V801632 + 1. assign V746019 = V751779 + 1. assign V407018 = V400706 - 1. assign V491194 = V272641 + 1. assign V821384 = V106224 + 1. assign V466469 = V592604 + 1. assign V106224 = V821548 + 1. assign V493132 = V424443 + 1. assign V891217 = V360563 + 1. assign V937995 = V507008 + 1. assign V970199 = V138539 - 1. assign V616884 = V400706. assign V660861 = V751779 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV360563 = 3;\n\nFrom these direct assignment(s), we have: \nV891217 = V360563 + 1 = 3 + 1 =4;\nNo other variables can be derived from V891217;\nNo other variables can be derived from V360563;\n\nNow we have done all the calculations. Derived variables are:\nV360563 = 3;\nV891217 = 4;\n\nNow we have finished this problem. ANSWER:\nV891217\n", "role": "assistant" } ]

[ "V188774" ]

[ { "content": "<context>\nassign V272983 = V987918. assign V705793 = V207907. assign V323298 = V996142 + 1. assign V248805 = V316766. assign V049433 = V073150 - 1. assign V589784 = V138669. assign V396981 = V348288 - 1. assign V791882 = V862081 + 1. assign V242857 = V718907 + 1. assign V013478 = V308750. assign V973594 = V039691 + 1. assign V291856 = V705793 + 1. assign V316766 = V488475 + 1. assign V276700 = V039691. assign V244883 = V775221. assign V645307 = V672978 - 1. assign V998762 = V848805 + 1. assign V794863 = V488475 + 1. assign V522586 = V099367 - 1. assign V862081 = V348288 + 1. assign V308750 = V518490. assign V811773 = V481671 - 1. assign V914031 = V248805 - 1. assign V232159 = V168169 + 1. assign V188774 = 2. assign V847835 = V127646 + 1. assign V167975 = V409737 + 1. assign V672978 = V705793. assign V960755 = V207907. assign V534018 = V922695 - 1. assign V547214 = V482131. assign V696939 = V811773 - 1. assign V573932 = V173503 - 1. assign V204021 = V691185. assign V775221 = V718907 + 1. assign V120456 = V348288 - 1. assign V696160 = V069350 + 1. assign V843463 = V644275 - 1. assign V554263 = V975629 - 1. assign V163850 = V794863. assign V098862 = V348288 - 1. assign V014852 = V188774 + 1. assign V213258 = V274540 - 1. assign V256148 = V735023 + 1. assign V801925 = V488475. assign V510865 = V971856 - 1. assign V086731 = V564607 + 1. assign V960651 = V518490 + 1. assign V225714 = V075266. assign V644275 = V903050 - 1. assign V556341 = V074655 + 1. assign V730124 = V431355 - 1. assign V479165 = V248805 - 1. assign V319148 = V396981. assign V039691 = V862081 + 1. assign V736619 = V247655. assign V686964 = V074655. assign V201655 = V612767. assign V612767 = V993145 - 1. assign V987918 = V801925. assign V113897 = V201655 - 1. assign V735642 = V705793 + 1. assign V459238 = V314876. assign V780878 = V910214. assign V970249 = V319148 - 1. assign V554640 = V705793 + 1. assign V971850 = V862081 + 1. assign V075266 = V974022 + 1. assign V359765 = V910214 - 1. assign V030975 = V138669. assign V097296 = V138669 + 1. assign V099367 = V139266 - 1. assign V996142 = V705793 + 1. assign V247655 = V207907 + 1. assign V034747 = V993145 + 1. assign V466283 = V608315. assign V910214 = V247655. assign V974022 = V705793 + 1. assign V637868 = V409737 + 1. assign V922695 = V737437. assign V086174 = V518490 - 1. assign V758405 = V815986. assign V758410 = V735023 + 1. assign V003785 = V099367 - 1. assign V985502 = V396981. assign V488475 = V718907. assign V655563 = V088304 - 1. assign V348288 = V554640. assign V380861 = V088304 + 1. assign V868895 = V310704 + 1. assign V409737 = V099367 - 1. assign V848805 = V737437 - 1. assign V015711 = V488475. assign V907608 = V186328 - 1. assign V016005 = V073150 + 1. assign V571146 = V207907. assign V349131 = V409737 + 1. assign V608315 = V138669 - 1. assign V950790 = V554640. assign V168169 = V291856. assign V903050 = V554640. assign V567565 = V207907 + 1. assign V227608 = V708375 + 1. assign V186328 = V088304. assign V866198 = V431355 - 1. assign V075160 = V074655 + 1. assign V484471 = V608315 + 1. assign V310704 = V088304 + 1. assign V966889 = V775221. assign V314876 = V316766. assign V576328 = V730124 - 1. assign V419343 = V662363 - 1. assign V366587 = V518490 - 1. assign V088304 = V207907. assign V394523 = V247655. assign V071509 = V775221. assign V375513 = V736619. assign V993145 = V775221 + 1. assign V294404 = V518490. assign V139266 = V910214 + 1. assign V815986 = V138669 - 1. assign V564607 = V960755 - 1. assign V777096 = V163850 + 1. assign V127646 = V960755 - 1. assign V028527 = V201655 + 1. assign V018513 = V348288 - 1. assign V772288 = V815986. assign V427888 = V903050 - 1. assign V399753 = V074655. assign V769988 = V075160 - 1. assign V971856 = V074655 + 1. assign V431355 = V705793. assign V222700 = V998762 + 1. assign V516929 = V431355 + 1. assign V518490 = V975629 - 1. assign V691185 = V644275. assign V975629 = V316766 - 1. assign V840871 = V848805 - 1. assign V435409 = V975629 + 1. assign V532010 = V244883 + 1. assign V996034 = V686964. assign V901545 = V274540 - 1. assign V621411 = V862081 - 1. assign V138669 = V291856. assign V785989 = V274540 + 1. assign V796542 = V074655 + 1. assign V481671 = V775221 - 1. assign V030380 = V348288 - 1. assign V482131 = V348288 + 1. assign V735023 = V996142. assign V683188 = V662363. assign V074655 = V993145. assign V288640 = V903050 - 1. assign V708375 = V034747 - 1. assign V073150 = V310704 + 1. assign V077202 = V847835 + 1. assign V173503 = V960755 - 1. assign V662363 = V316766. assign V031499 = V366587 - 1. assign V623924 = V775221 + 1. assign V008909 = V232159 + 1. assign V737437 = V074655. assign V168875 = V481671 + 1. assign V718907 = V207907 - 1. assign V474828 = V139266. assign V773395 = V034747 - 1. assign V353399 = V427888 + 1. assign V069350 = V993145. assign V604798 = V039691 + 1. assign V274540 = V028527. assign V762105 = V028527 - 1. assign V343771 = V910214 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V272983 = V987918. assign V705793 = V207907. assign V323298 = V996142 + 1. assign V248805 = V316766. assign V049433 = V073150 - 1. assign V589784 = V138669. assign V396981 = V348288 - 1. assign V791882 = V862081 + 1. assign V242857 = V718907 + 1. assign V013478 = V308750. assign V973594 = V039691 + 1. assign V291856 = V705793 + 1. assign V316766 = V488475 + 1. assign V276700 = V039691. assign V244883 = V775221. assign V645307 = V672978 - 1. assign V998762 = V848805 + 1. assign V794863 = V488475 + 1. assign V522586 = V099367 - 1. assign V862081 = V348288 + 1. assign V308750 = V518490. assign V811773 = V481671 - 1. assign V914031 = V248805 - 1. assign V232159 = V168169 + 1. assign V188774 = 2. assign V847835 = V127646 + 1. assign V167975 = V409737 + 1. assign V672978 = V705793. assign V960755 = V207907. assign V534018 = V922695 - 1. assign V547214 = V482131. assign V696939 = V811773 - 1. assign V573932 = V173503 - 1. assign V204021 = V691185. assign V775221 = V718907 + 1. assign V120456 = V348288 - 1. assign V696160 = V069350 + 1. assign V843463 = V644275 - 1. assign V554263 = V975629 - 1. assign V163850 = V794863. assign V098862 = V348288 - 1. assign V014852 = V188774 + 1. assign V213258 = V274540 - 1. assign V256148 = V735023 + 1. assign V801925 = V488475. assign V510865 = V971856 - 1. assign V086731 = V564607 + 1. assign V960651 = V518490 + 1. assign V225714 = V075266. assign V644275 = V903050 - 1. assign V556341 = V074655 + 1. assign V730124 = V431355 - 1. assign V479165 = V248805 - 1. assign V319148 = V396981. assign V039691 = V862081 + 1. assign V736619 = V247655. assign V686964 = V074655. assign V201655 = V612767. assign V612767 = V993145 - 1. assign V987918 = V801925. assign V113897 = V201655 - 1. assign V735642 = V705793 + 1. assign V459238 = V314876. assign V780878 = V910214. assign V970249 = V319148 - 1. assign V554640 = V705793 + 1. assign V971850 = V862081 + 1. assign V075266 = V974022 + 1. assign V359765 = V910214 - 1. assign V030975 = V138669. assign V097296 = V138669 + 1. assign V099367 = V139266 - 1. assign V996142 = V705793 + 1. assign V247655 = V207907 + 1. assign V034747 = V993145 + 1. assign V466283 = V608315. assign V910214 = V247655. assign V974022 = V705793 + 1. assign V637868 = V409737 + 1. assign V922695 = V737437. assign V086174 = V518490 - 1. assign V758405 = V815986. assign V758410 = V735023 + 1. assign V003785 = V099367 - 1. assign V985502 = V396981. assign V488475 = V718907. assign V655563 = V088304 - 1. assign V348288 = V554640. assign V380861 = V088304 + 1. assign V868895 = V310704 + 1. assign V409737 = V099367 - 1. assign V848805 = V737437 - 1. assign V015711 = V488475. assign V907608 = V186328 - 1. assign V016005 = V073150 + 1. assign V571146 = V207907. assign V349131 = V409737 + 1. assign V608315 = V138669 - 1. assign V950790 = V554640. assign V168169 = V291856. assign V903050 = V554640. assign V567565 = V207907 + 1. assign V227608 = V708375 + 1. assign V186328 = V088304. assign V866198 = V431355 - 1. assign V075160 = V074655 + 1. assign V484471 = V608315 + 1. assign V310704 = V088304 + 1. assign V966889 = V775221. assign V314876 = V316766. assign V576328 = V730124 - 1. assign V419343 = V662363 - 1. assign V366587 = V518490 - 1. assign V088304 = V207907. assign V394523 = V247655. assign V071509 = V775221. assign V375513 = V736619. assign V993145 = V775221 + 1. assign V294404 = V518490. assign V139266 = V910214 + 1. assign V815986 = V138669 - 1. assign V564607 = V960755 - 1. assign V777096 = V163850 + 1. assign V127646 = V960755 - 1. assign V028527 = V201655 + 1. assign V018513 = V348288 - 1. assign V772288 = V815986. assign V427888 = V903050 - 1. assign V399753 = V074655. assign V769988 = V075160 - 1. assign V971856 = V074655 + 1. assign V431355 = V705793. assign V222700 = V998762 + 1. assign V516929 = V431355 + 1. assign V518490 = V975629 - 1. assign V691185 = V644275. assign V975629 = V316766 - 1. assign V840871 = V848805 - 1. assign V435409 = V975629 + 1. assign V532010 = V244883 + 1. assign V996034 = V686964. assign V901545 = V274540 - 1. assign V621411 = V862081 - 1. assign V138669 = V291856. assign V785989 = V274540 + 1. assign V796542 = V074655 + 1. assign V481671 = V775221 - 1. assign V030380 = V348288 - 1. assign V482131 = V348288 + 1. assign V735023 = V996142. assign V683188 = V662363. assign V074655 = V993145. assign V288640 = V903050 - 1. assign V708375 = V034747 - 1. assign V073150 = V310704 + 1. assign V077202 = V847835 + 1. assign V173503 = V960755 - 1. assign V662363 = V316766. assign V031499 = V366587 - 1. assign V623924 = V775221 + 1. assign V008909 = V232159 + 1. assign V737437 = V074655. assign V168875 = V481671 + 1. assign V718907 = V207907 - 1. assign V474828 = V139266. assign V773395 = V034747 - 1. assign V353399 = V427888 + 1. assign V069350 = V993145. assign V604798 = V039691 + 1. assign V274540 = V028527. assign V762105 = V028527 - 1. assign V343771 = V910214 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV188774 = 2;\n\nFrom these direct assignment(s), we have: \nV014852 = V188774 + 1 = 2 + 1 =3;\nNo other variables can be derived from V014852;\nNo other variables can be derived from V188774;\n\nNow we have done all the calculations. Derived variables are:\nV188774 = 2;\nV014852 = 3;\n\nNow we have finished this problem. ANSWER:\nV188774\n", "role": "assistant" } ]

[ "V957683" ]

[ { "content": "<context>\nassign V945819 = V957683 - 1. assign V751308 = V220738 + 1. assign V128080 = V087198 + 1. assign V138930 = V430971 + 1. assign V798448 = V449177. assign V940819 = V429430 + 1. assign V125860 = V211321 - 1. assign V869514 = V787722 - 1. assign V131576 = V658617 - 1. assign V292161 = V482206 + 1. assign V134980 = V798448 - 1. assign V465976 = V618021. assign V209953 = V651431. assign V273263 = V780923 + 1. assign V123158 = V405630. assign V994976 = V823020 - 1. assign V515297 = V405630 + 1. assign V851462 = V309443 - 1. assign V735403 = V266145 - 1. assign V404206 = V484098. assign V801927 = V449177 + 1. assign V165246 = V087198 + 1. assign V805327 = V649560 + 1. assign V104390 = V125967 - 1. assign V194586 = V220738. assign V171538 = V759893 - 1. assign V591596 = V215567 + 1. assign V519630 = V173364 + 1. assign V352649 = V108768. assign V484098 = V851462 - 1. assign V979402 = V399014 - 1. assign V651431 = V409619 - 1. assign V008422 = V419993. assign V670851 = V304875 - 1. assign V689295 = V801569. assign V003813 = V043878 - 1. assign V086122 = V220738 - 1. assign V969911 = V923514 - 1. assign V325429 = V787722 - 1. assign V495202 = V751308 - 1. assign V618021 = V405630 + 1. assign V796888 = V241734. assign V419993 = V581343 - 1. assign V268797 = V409619 - 1. assign V482206 = V291456 + 1. assign V069762 = V969911. assign V997344 = V693896 - 1. assign V502657 = V987184. assign V053453 = V494486 - 1. assign V992044 = V266145 + 1. assign V419763 = V923514 - 1. assign V493037 = V643698 + 1. assign V766909 = V766915 - 1. assign V087198 = V801569 + 1. assign V588212 = V165246 - 1. assign V787722 = V693896 + 1. assign V987184 = V309068 + 1. assign V856910 = V125860. assign V429430 = V370574 - 1. assign V625822 = V053453. assign V428057 = V778642. assign V897222 = V123158 - 1. assign V991016 = V163051 - 1. assign V173364 = V819622 - 1. assign V717641 = V751308. assign V309068 = V684118 - 1. assign V886149 = V519630. assign V304875 = V684118 - 1. assign V897325 = V409619 + 1. assign V649560 = V173364. assign V495769 = V929981 - 1. assign V062094 = V211321 - 1. assign V220738 = V215567 + 1. assign V889305 = V798448 + 1. assign V935481 = V649560 - 1. assign V599190 = V869514. assign V055436 = V483444 + 1. assign V374617 = V649560 - 1. assign V189437 = V796888. assign V494486 = V801927 + 1. assign V852847 = V819622 - 1. assign V134168 = V684118 + 1. assign V931720 = V173364. assign V505000 = V465226. assign V630491 = V929981. assign V766915 = V405630. assign V190650 = V693896 + 1. assign V957683 = 2. assign V923514 = V409619 + 1. assign V215567 = V449177 - 1. assign V892805 = V684118. assign V661520 = V268004. assign V416199 = V449177. assign V624966 = V006565 + 1. assign V658617 = V069762. assign V292429 = V897222. assign V425491 = V969911. assign V655909 = V618021 - 1. assign V268004 = V889305. assign V135738 = V751308 + 1. assign V163181 = V889305 - 1. assign V206874 = V087198 + 1. assign V592495 = V918640. assign V782280 = V318875. assign V701471 = V801927. assign V672833 = V215567. assign V163051 = V798448 + 1. assign V183230 = V987184. assign V449237 = V979402 + 1. assign V483444 = V869514 + 1. assign V823020 = V419993 + 1. assign V405630 = V134168. assign V309443 = V449177 - 1. assign V806143 = V502657 + 1. assign V599176 = V495769 + 1. assign V449177 = V684118 + 1. assign V901633 = V298705 + 1. assign V241734 = V449177 + 1. assign V612317 = V997344 + 1. assign V589187 = V994976 + 1. assign V693896 = V220738. assign V399014 = V419993. assign V965947 = V494486 - 1. assign V256045 = V852847 - 1. assign V544843 = V419993 - 1. assign V705250 = V515297 - 1. assign V780923 = V889305. assign V416230 = V931720 - 1. assign V643698 = V008422. assign V759149 = V134168. assign V298705 = V851462 + 1. assign V436134 = V405630 - 1. assign V354260 = V409619 - 1. assign V974810 = V125967 + 1. assign V135129 = V502657 - 1. assign V409619 = V819622 + 1. assign V876501 = V163181 + 1. assign V759893 = V134168 + 1. assign V430971 = V599176. assign V755764 = V043878 + 1. assign V043878 = V298705. assign V318875 = V592495 - 1. assign V446615 = V419993. assign V854815 = V618021 - 1. assign V287495 = V163051. assign V131845 = V409619 - 1. assign V302791 = V419993 - 1. assign V149385 = V135738 + 1. assign V003495 = V215567 - 1. assign V266145 = V977868. assign V511261 = V008422 + 1. assign V032533 = V134168 + 1. assign V760815 = V053453 + 1. assign V211321 = V759893 + 1. assign V778642 = V801569 + 1. assign V291456 = V069762. assign V918640 = V519630 - 1. assign V801569 = V684118 - 1. assign V414423 = V787722 + 1. assign V108768 = V581343. assign V819622 = V165246. assign V929981 = V801569 + 1. assign V806675 = V425491 - 1. assign V726336 = V798448 - 1. assign V465226 = V684118 + 1. assign V581343 = V801569 - 1. assign V125967 = V693896 - 1. assign V977868 = V892805 + 1. assign V948166 = V819622. assign V370574 = V965947. assign V006565 = V194586. assign V001300 = V414423 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V945819 = V957683 - 1. assign V751308 = V220738 + 1. assign V128080 = V087198 + 1. assign V138930 = V430971 + 1. assign V798448 = V449177. assign V940819 = V429430 + 1. assign V125860 = V211321 - 1. assign V869514 = V787722 - 1. assign V131576 = V658617 - 1. assign V292161 = V482206 + 1. assign V134980 = V798448 - 1. assign V465976 = V618021. assign V209953 = V651431. assign V273263 = V780923 + 1. assign V123158 = V405630. assign V994976 = V823020 - 1. assign V515297 = V405630 + 1. assign V851462 = V309443 - 1. assign V735403 = V266145 - 1. assign V404206 = V484098. assign V801927 = V449177 + 1. assign V165246 = V087198 + 1. assign V805327 = V649560 + 1. assign V104390 = V125967 - 1. assign V194586 = V220738. assign V171538 = V759893 - 1. assign V591596 = V215567 + 1. assign V519630 = V173364 + 1. assign V352649 = V108768. assign V484098 = V851462 - 1. assign V979402 = V399014 - 1. assign V651431 = V409619 - 1. assign V008422 = V419993. assign V670851 = V304875 - 1. assign V689295 = V801569. assign V003813 = V043878 - 1. assign V086122 = V220738 - 1. assign V969911 = V923514 - 1. assign V325429 = V787722 - 1. assign V495202 = V751308 - 1. assign V618021 = V405630 + 1. assign V796888 = V241734. assign V419993 = V581343 - 1. assign V268797 = V409619 - 1. assign V482206 = V291456 + 1. assign V069762 = V969911. assign V997344 = V693896 - 1. assign V502657 = V987184. assign V053453 = V494486 - 1. assign V992044 = V266145 + 1. assign V419763 = V923514 - 1. assign V493037 = V643698 + 1. assign V766909 = V766915 - 1. assign V087198 = V801569 + 1. assign V588212 = V165246 - 1. assign V787722 = V693896 + 1. assign V987184 = V309068 + 1. assign V856910 = V125860. assign V429430 = V370574 - 1. assign V625822 = V053453. assign V428057 = V778642. assign V897222 = V123158 - 1. assign V991016 = V163051 - 1. assign V173364 = V819622 - 1. assign V717641 = V751308. assign V309068 = V684118 - 1. assign V886149 = V519630. assign V304875 = V684118 - 1. assign V897325 = V409619 + 1. assign V649560 = V173364. assign V495769 = V929981 - 1. assign V062094 = V211321 - 1. assign V220738 = V215567 + 1. assign V889305 = V798448 + 1. assign V935481 = V649560 - 1. assign V599190 = V869514. assign V055436 = V483444 + 1. assign V374617 = V649560 - 1. assign V189437 = V796888. assign V494486 = V801927 + 1. assign V852847 = V819622 - 1. assign V134168 = V684118 + 1. assign V931720 = V173364. assign V505000 = V465226. assign V630491 = V929981. assign V766915 = V405630. assign V190650 = V693896 + 1. assign V957683 = 2. assign V923514 = V409619 + 1. assign V215567 = V449177 - 1. assign V892805 = V684118. assign V661520 = V268004. assign V416199 = V449177. assign V624966 = V006565 + 1. assign V658617 = V069762. assign V292429 = V897222. assign V425491 = V969911. assign V655909 = V618021 - 1. assign V268004 = V889305. assign V135738 = V751308 + 1. assign V163181 = V889305 - 1. assign V206874 = V087198 + 1. assign V592495 = V918640. assign V782280 = V318875. assign V701471 = V801927. assign V672833 = V215567. assign V163051 = V798448 + 1. assign V183230 = V987184. assign V449237 = V979402 + 1. assign V483444 = V869514 + 1. assign V823020 = V419993 + 1. assign V405630 = V134168. assign V309443 = V449177 - 1. assign V806143 = V502657 + 1. assign V599176 = V495769 + 1. assign V449177 = V684118 + 1. assign V901633 = V298705 + 1. assign V241734 = V449177 + 1. assign V612317 = V997344 + 1. assign V589187 = V994976 + 1. assign V693896 = V220738. assign V399014 = V419993. assign V965947 = V494486 - 1. assign V256045 = V852847 - 1. assign V544843 = V419993 - 1. assign V705250 = V515297 - 1. assign V780923 = V889305. assign V416230 = V931720 - 1. assign V643698 = V008422. assign V759149 = V134168. assign V298705 = V851462 + 1. assign V436134 = V405630 - 1. assign V354260 = V409619 - 1. assign V974810 = V125967 + 1. assign V135129 = V502657 - 1. assign V409619 = V819622 + 1. assign V876501 = V163181 + 1. assign V759893 = V134168 + 1. assign V430971 = V599176. assign V755764 = V043878 + 1. assign V043878 = V298705. assign V318875 = V592495 - 1. assign V446615 = V419993. assign V854815 = V618021 - 1. assign V287495 = V163051. assign V131845 = V409619 - 1. assign V302791 = V419993 - 1. assign V149385 = V135738 + 1. assign V003495 = V215567 - 1. assign V266145 = V977868. assign V511261 = V008422 + 1. assign V032533 = V134168 + 1. assign V760815 = V053453 + 1. assign V211321 = V759893 + 1. assign V778642 = V801569 + 1. assign V291456 = V069762. assign V918640 = V519630 - 1. assign V801569 = V684118 - 1. assign V414423 = V787722 + 1. assign V108768 = V581343. assign V819622 = V165246. assign V929981 = V801569 + 1. assign V806675 = V425491 - 1. assign V726336 = V798448 - 1. assign V465226 = V684118 + 1. assign V581343 = V801569 - 1. assign V125967 = V693896 - 1. assign V977868 = V892805 + 1. assign V948166 = V819622. assign V370574 = V965947. assign V006565 = V194586. assign V001300 = V414423 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV957683 = 2;\n\nFrom these direct assignment(s), we have: \nV945819 = V957683 - 1 = 2 - 1 =1;\nNo other variables can be derived from V945819;\nNo other variables can be derived from V957683;\n\nNow we have done all the calculations. Derived variables are:\nV957683 = 2;\nV945819 = 1;\n\nNow we have finished this problem. ANSWER:\nV957683\n", "role": "assistant" } ]

[ "V185781" ]

[ { "content": "<context>\nassign V722033 = V782664. assign V024122 = V696708. assign V822477 = V594831 - 1. assign V678256 = V843840 - 1. assign V949103 = V208722. assign V415349 = V730385. assign V710616 = V114916. assign V478113 = V424698. assign V811265 = V978584. assign V421592 = V565133. assign V732309 = V595372 + 1. assign V961297 = V428234 + 1. assign V932568 = V179650. assign V114916 = V711677. assign V978584 = V957885 - 1. assign V074065 = V274134 - 1. assign V411762 = V730385. assign V280780 = V921462 + 1. assign V718699 = V635174. assign V168976 = V601591 - 1. assign V546163 = V114916. assign V093829 = V131604 - 1. assign V775319 = V546163 - 1. assign V114738 = V572105. assign V899500 = V040629 - 1. assign V933098 = V983427. assign V704918 = V612601 + 1. assign V120656 = V047183 + 1. assign V594831 = V274134 - 1. assign V892468 = V511163. assign V767642 = V413714 - 1. assign V790154 = V613913 - 1. assign V816864 = V711677 + 1. assign V343928 = V576041. assign V112030 = V263156. assign V502865 = V471173 - 1. assign V989258 = V711677 - 1. assign V858510 = V396199. assign V518623 = V957885. assign V726291 = V040629 + 1. assign V361577 = 5. assign V971776 = V767642 + 1. assign V758921 = V114916 - 1. assign V485224 = V635174. assign V613913 = V646335 - 1. assign V807099 = V153134 + 1. assign V983427 = V413714 + 1. assign V447280 = V546163. assign V385560 = V341453 - 1. assign V782664 = V730385 + 1. assign V766532 = V263156. assign V796863 = V804346 + 1. assign V547865 = V573595 + 1. assign V782892 = V114738 + 1. assign V412123 = V978584 + 1. assign V635174 = V710616. assign V157923 = V743613 + 1. assign V700311 = V119620 - 1. assign V711812 = V855874 - 1. assign V150474 = V623187 - 1. assign V359358 = V030719 + 1. assign V771123 = V630323 + 1. assign V716768 = V396199 + 1. assign V696708 = V864777 - 1. assign V027794 = V564411 - 1. assign V914453 = V511163 - 1. assign V573595 = V635174. assign V899061 = V020426. assign V163894 = V771123. assign V842987 = V855874 - 1. assign V976845 = V120656. assign V646335 = V716768 + 1. assign V576041 = V099841 + 1. assign V761119 = V208722. assign V410384 = V393363. assign V393363 = V716344 - 1. assign V921462 = V623187. assign V384710 = V511163 - 1. assign V683339 = V758921. assign V855874 = V396199 - 1. assign V131604 = V704918 + 1. assign V240742 = V396199 - 1. assign V630323 = V810773. assign V572105 = V771885 + 1. assign V006750 = V092396. assign V312198 = V447280. assign V843840 = V373857 + 1. assign V679675 = V673382 + 1. assign V339293 = V119620. assign V263156 = V758921 + 1. assign V504749 = V339293. assign V810773 = V957885. assign V352257 = V983427 + 1. assign V265125 = V205806 + 1. assign V471173 = V303162 + 1. assign V743613 = V413714 + 1. assign V520495 = V961297. assign V987836 = V091989. assign V211509 = V806139 + 1. assign V564411 = V921462. assign V612601 = V114916 - 1. assign V185781 = V361577 - 1. assign V099841 = V623187. assign V424698 = V576041 - 1. assign V704740 = V855874 + 1. assign V373857 = V119620. assign V070096 = V047183. assign V789586 = V249692 + 1. assign V864777 = V623187. assign V208722 = V396199. assign V210475 = V864777 + 1. assign V583052 = V396199. assign V883013 = V613913. assign V020426 = V767642 + 1. assign V030719 = V932568. assign V605837 = V782892 + 1. assign V396199 = V114916 - 1. assign V595372 = V274134 + 1. assign V560651 = V150474 - 1. assign V249692 = V303162 + 1. assign V119620 = V789586 + 1. assign V565133 = V303162. assign V623187 = V989258. assign V303162 = V114916 + 1. assign V356301 = V921462 - 1. assign V514656 = V020655 - 1. assign V092396 = V938511 - 1. assign V511163 = V789586. assign V293761 = V518623 + 1. assign V417877 = V758921. assign V804346 = V704918 + 1. assign V957885 = V806139 + 1. assign V865248 = V396199 - 1. assign V730385 = V933098 - 1. assign V341453 = V595372. assign V645759 = V546163. assign V923045 = V047183 + 1. assign V754854 = V343928 + 1. assign V569875 = V673382 + 1. assign V792582 = V006750. assign V417131 = V858510. assign V793256 = V339293. assign V771885 = V758921 - 1. assign V179650 = V417877. assign V294840 = V415349 + 1. assign V274134 = V989258. assign V413413 = V471173. assign V456162 = V249692 + 1. assign V806139 = V623187 + 1. assign V673382 = V771885 + 1. assign V074072 = V989258 + 1. assign V564825 = V415349 - 1. assign V506252 = V865248 + 1. assign V841252 = V352257. assign V938511 = V343928 + 1. assign V040629 = V339293 + 1. assign V601591 = V074065 + 1. assign V716344 = V758921 - 1. assign V047183 = V114916 - 1. assign V153134 = V595372. assign V413714 = V303162 + 1. assign V401047 = V790154 - 1. assign V645960 = V782664. assign V834042 = V804346 - 1. assign V020655 = V114916. assign V322009 = V595372 + 1. assign V093037 = V679675. assign V205806 = V645759. assign V428234 = V612601. assign V091816 = V730385. assign V091989 = V576041 - 1. assign V264897 = V384710.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V722033 = V782664. assign V024122 = V696708. assign V822477 = V594831 - 1. assign V678256 = V843840 - 1. assign V949103 = V208722. assign V415349 = V730385. assign V710616 = V114916. assign V478113 = V424698. assign V811265 = V978584. assign V421592 = V565133. assign V732309 = V595372 + 1. assign V961297 = V428234 + 1. assign V932568 = V179650. assign V114916 = V711677. assign V978584 = V957885 - 1. assign V074065 = V274134 - 1. assign V411762 = V730385. assign V280780 = V921462 + 1. assign V718699 = V635174. assign V168976 = V601591 - 1. assign V546163 = V114916. assign V093829 = V131604 - 1. assign V775319 = V546163 - 1. assign V114738 = V572105. assign V899500 = V040629 - 1. assign V933098 = V983427. assign V704918 = V612601 + 1. assign V120656 = V047183 + 1. assign V594831 = V274134 - 1. assign V892468 = V511163. assign V767642 = V413714 - 1. assign V790154 = V613913 - 1. assign V816864 = V711677 + 1. assign V343928 = V576041. assign V112030 = V263156. assign V502865 = V471173 - 1. assign V989258 = V711677 - 1. assign V858510 = V396199. assign V518623 = V957885. assign V726291 = V040629 + 1. assign V361577 = 5. assign V971776 = V767642 + 1. assign V758921 = V114916 - 1. assign V485224 = V635174. assign V613913 = V646335 - 1. assign V807099 = V153134 + 1. assign V983427 = V413714 + 1. assign V447280 = V546163. assign V385560 = V341453 - 1. assign V782664 = V730385 + 1. assign V766532 = V263156. assign V796863 = V804346 + 1. assign V547865 = V573595 + 1. assign V782892 = V114738 + 1. assign V412123 = V978584 + 1. assign V635174 = V710616. assign V157923 = V743613 + 1. assign V700311 = V119620 - 1. assign V711812 = V855874 - 1. assign V150474 = V623187 - 1. assign V359358 = V030719 + 1. assign V771123 = V630323 + 1. assign V716768 = V396199 + 1. assign V696708 = V864777 - 1. assign V027794 = V564411 - 1. assign V914453 = V511163 - 1. assign V573595 = V635174. assign V899061 = V020426. assign V163894 = V771123. assign V842987 = V855874 - 1. assign V976845 = V120656. assign V646335 = V716768 + 1. assign V576041 = V099841 + 1. assign V761119 = V208722. assign V410384 = V393363. assign V393363 = V716344 - 1. assign V921462 = V623187. assign V384710 = V511163 - 1. assign V683339 = V758921. assign V855874 = V396199 - 1. assign V131604 = V704918 + 1. assign V240742 = V396199 - 1. assign V630323 = V810773. assign V572105 = V771885 + 1. assign V006750 = V092396. assign V312198 = V447280. assign V843840 = V373857 + 1. assign V679675 = V673382 + 1. assign V339293 = V119620. assign V263156 = V758921 + 1. assign V504749 = V339293. assign V810773 = V957885. assign V352257 = V983427 + 1. assign V265125 = V205806 + 1. assign V471173 = V303162 + 1. assign V743613 = V413714 + 1. assign V520495 = V961297. assign V987836 = V091989. assign V211509 = V806139 + 1. assign V564411 = V921462. assign V612601 = V114916 - 1. assign V185781 = V361577 - 1. assign V099841 = V623187. assign V424698 = V576041 - 1. assign V704740 = V855874 + 1. assign V373857 = V119620. assign V070096 = V047183. assign V789586 = V249692 + 1. assign V864777 = V623187. assign V208722 = V396199. assign V210475 = V864777 + 1. assign V583052 = V396199. assign V883013 = V613913. assign V020426 = V767642 + 1. assign V030719 = V932568. assign V605837 = V782892 + 1. assign V396199 = V114916 - 1. assign V595372 = V274134 + 1. assign V560651 = V150474 - 1. assign V249692 = V303162 + 1. assign V119620 = V789586 + 1. assign V565133 = V303162. assign V623187 = V989258. assign V303162 = V114916 + 1. assign V356301 = V921462 - 1. assign V514656 = V020655 - 1. assign V092396 = V938511 - 1. assign V511163 = V789586. assign V293761 = V518623 + 1. assign V417877 = V758921. assign V804346 = V704918 + 1. assign V957885 = V806139 + 1. assign V865248 = V396199 - 1. assign V730385 = V933098 - 1. assign V341453 = V595372. assign V645759 = V546163. assign V923045 = V047183 + 1. assign V754854 = V343928 + 1. assign V569875 = V673382 + 1. assign V792582 = V006750. assign V417131 = V858510. assign V793256 = V339293. assign V771885 = V758921 - 1. assign V179650 = V417877. assign V294840 = V415349 + 1. assign V274134 = V989258. assign V413413 = V471173. assign V456162 = V249692 + 1. assign V806139 = V623187 + 1. assign V673382 = V771885 + 1. assign V074072 = V989258 + 1. assign V564825 = V415349 - 1. assign V506252 = V865248 + 1. assign V841252 = V352257. assign V938511 = V343928 + 1. assign V040629 = V339293 + 1. assign V601591 = V074065 + 1. assign V716344 = V758921 - 1. assign V047183 = V114916 - 1. assign V153134 = V595372. assign V413714 = V303162 + 1. assign V401047 = V790154 - 1. assign V645960 = V782664. assign V834042 = V804346 - 1. assign V020655 = V114916. assign V322009 = V595372 + 1. assign V093037 = V679675. assign V205806 = V645759. assign V428234 = V612601. assign V091816 = V730385. assign V091989 = V576041 - 1. assign V264897 = V384710.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV361577 = 5;\n\nFrom these direct assignment(s), we have: \nV185781 = V361577 - 1 = 5 - 1 =4;\nNo other variables can be derived from V185781;\nNo other variables can be derived from V361577;\n\nNow we have done all the calculations. Derived variables are:\nV361577 = 5;\nV185781 = 4;\n\nNow we have finished this problem. ANSWER:\nV185781\n", "role": "assistant" } ]

[ "V387912" ]

[ { "content": "<context>\nassign V457343 = V378686 - 1. assign V085833 = V544725 + 1. assign V671514 = V558265 - 1. assign V910320 = V782117 - 1. assign V937580 = V568053 - 1. assign V558797 = V553272. assign V728474 = V018237 - 1. assign V251568 = V011740 + 1. assign V292109 = V569074 - 1. assign V109115 = V635363. assign V018237 = V697049. assign V034458 = V634944 - 1. assign V964178 = V678382 + 1. assign V563236 = V671514. assign V686101 = V034458. assign V525518 = V339185. assign V390674 = V064287 - 1. assign V274195 = V635363. assign V943804 = V430831. assign V607657 = V344684. assign V491430 = V770668 - 1. assign V387912 = 4. assign V492726 = V889614 - 1. assign V011740 = V064287. assign V378686 = V339185 + 1. assign V459874 = V438098 - 1. assign V452187 = V230863. assign V652749 = V633666. assign V770668 = V490767 - 1. assign V450976 = V681342. assign V999330 = V344684 + 1. assign V893131 = V153581 - 1. assign V273895 = V782117 - 1. assign V415412 = V048484. assign V408980 = V415412 + 1. assign V331809 = V011740 + 1. assign V894532 = V736571 + 1. assign V658598 = V936588 + 1. assign V618717 = V943804 - 1. assign V818021 = V851247 - 1. assign V572914 = V438675. assign V153581 = V390674 - 1. assign V362384 = V558265 + 1. assign V250131 = V441231 + 1. assign V344684 = V600109 - 1. assign V383596 = V578166 - 1. assign V064287 = V910320. assign V516149 = V064287. assign V187421 = V448983. assign V177901 = V765864 - 1. assign V532742 = V889614 + 1. assign V261914 = V344684 + 1. assign V894105 = V387912 - 1. assign V956264 = V438098 - 1. assign V743933 = V851247 - 1. assign V539452 = V782117 + 1. assign V697049 = V607657 + 1. assign V448983 = V400492 + 1. assign V284344 = V782117 + 1. assign V778550 = V648305 + 1. assign V487148 = V029366. assign V558265 = V339185 + 1. assign V055421 = V910320 - 1. assign V182291 = V931386 + 1. assign V544725 = V635363. assign V887135 = V344684 - 1. assign V849544 = V009612 + 1. assign V048484 = V072836 + 1. assign V782618 = V619925 + 1. assign V190521 = V879148 + 1. assign V945574 = V430831. assign V406939 = V889614. assign V069551 = V743933 - 1. assign V965229 = V572914 - 1. assign V221125 = V092215 + 1. assign V964869 = V945574 + 1. assign V879148 = V600109 - 1. assign V260358 = V697049 - 1. assign V438098 = V765864 - 1. assign V116714 = V558265 + 1. assign V503994 = V470230. assign V671170 = V230863. assign V230863 = V438675. assign V271497 = V797931. assign V551905 = V430831. assign V490767 = V578166. assign V144653 = V491430 + 1. assign V723159 = V516149. assign V123400 = V009612. assign V409438 = V470230. assign V533844 = V123400 + 1. assign V072836 = V339185 - 1. assign V400766 = V565317 - 1. assign V441231 = V491430 - 1. assign V619925 = V494687 - 1. assign V000765 = V362384 + 1. assign V325071 = V027399 - 1. assign V328043 = V698590 - 1. assign V210948 = V438675. assign V213544 = V144653 + 1. assign V681342 = V271497 + 1. assign V756499 = V438098 - 1. assign V931386 = V936588. assign V634944 = V539452 + 1. assign V799866 = V123400. assign V799328 = V503994 + 1. assign V736571 = V430831 - 1. assign V159733 = V909579. assign V999384 = V516149 + 1. assign V556473 = V778550 - 1. assign V725201 = V390674. assign V940841 = V723159. assign V400492 = V415412. assign V009612 = V797931 + 1. assign V568053 = V851247. assign V936588 = V430831 - 1. assign V633666 = V277882. assign V758008 = V409438 - 1. assign V765864 = V362384 - 1. assign V403568 = V565317 - 1. assign V434017 = V430831. assign V909579 = V274195 - 1. assign V411984 = V736571 + 1. assign V034210 = V072836 + 1. assign V698590 = V539452 - 1. assign V850549 = V778550 - 1. assign V027399 = V390674 - 1. assign V869207 = V818021 - 1. assign V801336 = V780550 + 1. assign V007052 = V438675. assign V345335 = V910320 - 1. assign V973872 = V578166 + 1. assign V494687 = V055421. assign V678382 = V782117 + 1. assign V578244 = V092215 - 1. assign V996150 = V069551 + 1. assign V024929 = V027399. assign V635363 = V345335. assign V032404 = V494687 - 1. assign V029366 = V092215 - 1. assign V700764 = V027399 - 1. assign V648305 = V681342 - 1. assign V438675 = V999330 - 1. assign V430831 = V782117. assign V629137 = V736571. assign V958018 = V027399. assign V186252 = V072836 - 1. assign V339185 = V027399 + 1. assign V384837 = V494687 + 1. assign V671273 = V106411 + 1. assign V578166 = V600109 - 1. assign V780550 = V213544. assign V331741 = V409438. assign V277882 = V525518. assign V553272 = V910320. assign V768061 = V383596. assign V943584 = V799866. assign V889614 = V362384 + 1. assign V565317 = V945574. assign V106411 = V607657 + 1. assign V092215 = V600109 - 1. assign V547636 = V474640 + 1. assign V615125 = V782618. assign V797931 = V943804 + 1. assign V851247 = V600109 + 1. assign V569074 = V648305 - 1. assign V694851 = V339185. assign V600109 = V345335 + 1. assign V880972 = V600109 + 1. assign V585222 = V007052 - 1. assign V474640 = V438098 + 1. assign V470230 = V055421 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V457343 = V378686 - 1. assign V085833 = V544725 + 1. assign V671514 = V558265 - 1. assign V910320 = V782117 - 1. assign V937580 = V568053 - 1. assign V558797 = V553272. assign V728474 = V018237 - 1. assign V251568 = V011740 + 1. assign V292109 = V569074 - 1. assign V109115 = V635363. assign V018237 = V697049. assign V034458 = V634944 - 1. assign V964178 = V678382 + 1. assign V563236 = V671514. assign V686101 = V034458. assign V525518 = V339185. assign V390674 = V064287 - 1. assign V274195 = V635363. assign V943804 = V430831. assign V607657 = V344684. assign V491430 = V770668 - 1. assign V387912 = 4. assign V492726 = V889614 - 1. assign V011740 = V064287. assign V378686 = V339185 + 1. assign V459874 = V438098 - 1. assign V452187 = V230863. assign V652749 = V633666. assign V770668 = V490767 - 1. assign V450976 = V681342. assign V999330 = V344684 + 1. assign V893131 = V153581 - 1. assign V273895 = V782117 - 1. assign V415412 = V048484. assign V408980 = V415412 + 1. assign V331809 = V011740 + 1. assign V894532 = V736571 + 1. assign V658598 = V936588 + 1. assign V618717 = V943804 - 1. assign V818021 = V851247 - 1. assign V572914 = V438675. assign V153581 = V390674 - 1. assign V362384 = V558265 + 1. assign V250131 = V441231 + 1. assign V344684 = V600109 - 1. assign V383596 = V578166 - 1. assign V064287 = V910320. assign V516149 = V064287. assign V187421 = V448983. assign V177901 = V765864 - 1. assign V532742 = V889614 + 1. assign V261914 = V344684 + 1. assign V894105 = V387912 - 1. assign V956264 = V438098 - 1. assign V743933 = V851247 - 1. assign V539452 = V782117 + 1. assign V697049 = V607657 + 1. assign V448983 = V400492 + 1. assign V284344 = V782117 + 1. assign V778550 = V648305 + 1. assign V487148 = V029366. assign V558265 = V339185 + 1. assign V055421 = V910320 - 1. assign V182291 = V931386 + 1. assign V544725 = V635363. assign V887135 = V344684 - 1. assign V849544 = V009612 + 1. assign V048484 = V072836 + 1. assign V782618 = V619925 + 1. assign V190521 = V879148 + 1. assign V945574 = V430831. assign V406939 = V889614. assign V069551 = V743933 - 1. assign V965229 = V572914 - 1. assign V221125 = V092215 + 1. assign V964869 = V945574 + 1. assign V879148 = V600109 - 1. assign V260358 = V697049 - 1. assign V438098 = V765864 - 1. assign V116714 = V558265 + 1. assign V503994 = V470230. assign V671170 = V230863. assign V230863 = V438675. assign V271497 = V797931. assign V551905 = V430831. assign V490767 = V578166. assign V144653 = V491430 + 1. assign V723159 = V516149. assign V123400 = V009612. assign V409438 = V470230. assign V533844 = V123400 + 1. assign V072836 = V339185 - 1. assign V400766 = V565317 - 1. assign V441231 = V491430 - 1. assign V619925 = V494687 - 1. assign V000765 = V362384 + 1. assign V325071 = V027399 - 1. assign V328043 = V698590 - 1. assign V210948 = V438675. assign V213544 = V144653 + 1. assign V681342 = V271497 + 1. assign V756499 = V438098 - 1. assign V931386 = V936588. assign V634944 = V539452 + 1. assign V799866 = V123400. assign V799328 = V503994 + 1. assign V736571 = V430831 - 1. assign V159733 = V909579. assign V999384 = V516149 + 1. assign V556473 = V778550 - 1. assign V725201 = V390674. assign V940841 = V723159. assign V400492 = V415412. assign V009612 = V797931 + 1. assign V568053 = V851247. assign V936588 = V430831 - 1. assign V633666 = V277882. assign V758008 = V409438 - 1. assign V765864 = V362384 - 1. assign V403568 = V565317 - 1. assign V434017 = V430831. assign V909579 = V274195 - 1. assign V411984 = V736571 + 1. assign V034210 = V072836 + 1. assign V698590 = V539452 - 1. assign V850549 = V778550 - 1. assign V027399 = V390674 - 1. assign V869207 = V818021 - 1. assign V801336 = V780550 + 1. assign V007052 = V438675. assign V345335 = V910320 - 1. assign V973872 = V578166 + 1. assign V494687 = V055421. assign V678382 = V782117 + 1. assign V578244 = V092215 - 1. assign V996150 = V069551 + 1. assign V024929 = V027399. assign V635363 = V345335. assign V032404 = V494687 - 1. assign V029366 = V092215 - 1. assign V700764 = V027399 - 1. assign V648305 = V681342 - 1. assign V438675 = V999330 - 1. assign V430831 = V782117. assign V629137 = V736571. assign V958018 = V027399. assign V186252 = V072836 - 1. assign V339185 = V027399 + 1. assign V384837 = V494687 + 1. assign V671273 = V106411 + 1. assign V578166 = V600109 - 1. assign V780550 = V213544. assign V331741 = V409438. assign V277882 = V525518. assign V553272 = V910320. assign V768061 = V383596. assign V943584 = V799866. assign V889614 = V362384 + 1. assign V565317 = V945574. assign V106411 = V607657 + 1. assign V092215 = V600109 - 1. assign V547636 = V474640 + 1. assign V615125 = V782618. assign V797931 = V943804 + 1. assign V851247 = V600109 + 1. assign V569074 = V648305 - 1. assign V694851 = V339185. assign V600109 = V345335 + 1. assign V880972 = V600109 + 1. assign V585222 = V007052 - 1. assign V474640 = V438098 + 1. assign V470230 = V055421 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV387912 = 4;\n\nFrom these direct assignment(s), we have: \nV894105 = V387912 - 1 = 4 - 1 =3;\nNo other variables can be derived from V894105;\nNo other variables can be derived from V387912;\n\nNow we have done all the calculations. Derived variables are:\nV387912 = 4;\nV894105 = 3;\n\nNow we have finished this problem. ANSWER:\nV387912\n", "role": "assistant" } ]

[ "V824884" ]

[ { "content": "<context>\nassign V583444 = V734020 + 1. assign V334308 = V398902 - 1. assign V065281 = V629380. assign V045789 = V924925. assign V518434 = V403769 - 1. assign V878220 = V503942. assign V819027 = V757013 + 1. assign V750655 = V783086 + 1. assign V900744 = V592686. assign V587184 = V329492. assign V731181 = V193373. assign V881548 = V423323. assign V192060 = V945803. assign V175597 = V494490. assign V190226 = V734020. assign V471196 = V503942. assign V766410 = V494490. assign V737521 = V178250 - 1. assign V680867 = V471338 + 1. assign V455385 = V724002. assign V486572 = V157630 + 1. assign V137085 = V734020. assign V924925 = V990824 - 1. assign V959700 = V442849. assign V728898 = V065281 + 1. assign V401657 = V289888 - 1. assign V083464 = V924925 + 1. assign V769387 = V783086. assign V417453 = V724002 - 1. assign V241826 = V442849. assign V736902 = V629380 - 1. assign V882737 = V619510. assign V278861 = V631469 + 1. assign V436854 = V289888 + 1. assign V404919 = V178250 + 1. assign V586922 = V585848 + 1. assign V241834 = V742996 - 1. assign V967962 = V423323 + 1. assign V469383 = V513660 - 1. assign V907465 = V530329 + 1. assign V191280 = V585848 - 1. assign V290144 = V192060. assign V344606 = V525181. assign V806634 = V757013 - 1. assign V585848 = V366661 + 1. assign V450608 = V514303 + 1. assign V198333 = V499450. assign V157630 = V513660. assign V238487 = V554490. assign V619510 = V554490 + 1. assign V485298 = V192060. assign V871584 = V619051 + 1. assign V383195 = V824884 - 1. assign V499450 = V514303 - 1. assign V383555 = V854387 - 1. assign V905058 = V235192 - 1. assign V402257 = V514303 - 1. assign V687310 = V358220 - 1. assign V289888 = V783086 + 1. assign V296356 = V334308 - 1. assign V603948 = V551518 - 1. assign V583921 = V518434 + 1. assign V734020 = V586922 + 1. assign V392700 = V592686. assign V692222 = V769387 - 1. assign V379419 = V603948 + 1. assign V451926 = V071537 + 1. assign V742996 = V366661 - 1. assign V366661 = V398902. assign V749350 = V589948 - 1. assign V241364 = V734020 - 1. assign V258696 = V358220 + 1. assign V494490 = V592686. assign V066788 = V589948 + 1. assign V366776 = V066788 - 1. assign V648357 = V659731 + 1. assign V094229 = V241364. assign V178250 = V630781. assign V513660 = V249834 + 1. assign V131791 = V589948 - 1. assign V173254 = V783086. assign V022841 = V554490 - 1. assign V111527 = V734020 + 1. assign V249834 = V769387 + 1. assign V990824 = V403769 - 1. assign V693969 = V659731 - 1. assign V284615 = V403769 + 1. assign V854387 = V066788 - 1. assign V381506 = V358220 + 1. assign V356671 = V512285 - 1. assign V112702 = V631469 - 1. assign V766502 = V334308. assign V291505 = V036471 - 1. assign V423323 = V619051 - 1. assign V597645 = V945803. assign V055816 = V589948 - 1. assign V172248 = V423323 - 1. assign V757013 = V398902. assign V036471 = V503942 - 1. assign V231113 = V451926 + 1. assign V398902 = V392700 - 1. assign V442849 = V249834 + 1. assign V088622 = V469383 - 1. assign V953063 = V659731. assign V756475 = V249834. assign V598626 = V619051 + 1. assign V416134 = V238487 + 1. assign V525181 = V692222 + 1. assign V127424 = V756475 + 1. assign V631469 = V724002. assign V442691 = V178250. assign V878261 = V455385 - 1. assign V183036 = V819027 + 1. assign V724002 = V711545. assign V659731 = V055816 + 1. assign V824884 = 8. assign V403769 = V249834 - 1. assign V930943 = V619510 - 1. assign V894755 = V193373 - 1. assign V554490 = V769387. assign V982858 = V778128 - 1. assign V040331 = V398902 + 1. assign V954199 = V530329. assign V414366 = V241364 + 1. assign V040346 = V711545. assign V386667 = V442849 + 1. assign V503942 = V442849. assign V426770 = V589948 + 1. assign V052225 = V513660 - 1. assign V119249 = V592686. assign V697313 = V417724 + 1. assign V768324 = V881548 + 1. assign V530329 = V783086 - 1. assign V842943 = V442849. assign V551518 = V768324. assign V417724 = V423323 - 1. assign V371692 = V417453 - 1. assign V064711 = V381506. assign V196084 = V592686 - 1. assign V619051 = V514303 - 1. assign V778128 = V783086 - 1. assign V235192 = V291505 + 1. assign V169666 = V619510. assign V629380 = V778128 + 1. assign V489610 = V486572 + 1. assign V962530 = V513660 + 1. assign V514303 = V592686. assign V208573 = V503942. assign V589948 = V619051 - 1. assign V366579 = V503942 - 1. assign V071537 = V289888 - 1. assign V329492 = V585848 + 1. assign V893257 = V530329 - 1. assign V786343 = V514303. assign V093533 = V178250. assign V673430 = V778128. assign V630781 = V289888 + 1. assign V259491 = V193373. assign V962889 = V766502 - 1. assign V341930 = V769387 + 1. assign V358220 = V619051 - 1. assign V512285 = V173254. assign V691770 = V383555. assign V172756 = V962530. assign V755560 = V094229. assign V193373 = V426770. assign V243200 = V289888. assign V711545 = V756475 + 1. assign V945803 = V289888 + 1. assign V471338 = V404919 - 1. assign V837667 = V494490. assign V592686 = V783086 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V583444 = V734020 + 1. assign V334308 = V398902 - 1. assign V065281 = V629380. assign V045789 = V924925. assign V518434 = V403769 - 1. assign V878220 = V503942. assign V819027 = V757013 + 1. assign V750655 = V783086 + 1. assign V900744 = V592686. assign V587184 = V329492. assign V731181 = V193373. assign V881548 = V423323. assign V192060 = V945803. assign V175597 = V494490. assign V190226 = V734020. assign V471196 = V503942. assign V766410 = V494490. assign V737521 = V178250 - 1. assign V680867 = V471338 + 1. assign V455385 = V724002. assign V486572 = V157630 + 1. assign V137085 = V734020. assign V924925 = V990824 - 1. assign V959700 = V442849. assign V728898 = V065281 + 1. assign V401657 = V289888 - 1. assign V083464 = V924925 + 1. assign V769387 = V783086. assign V417453 = V724002 - 1. assign V241826 = V442849. assign V736902 = V629380 - 1. assign V882737 = V619510. assign V278861 = V631469 + 1. assign V436854 = V289888 + 1. assign V404919 = V178250 + 1. assign V586922 = V585848 + 1. assign V241834 = V742996 - 1. assign V967962 = V423323 + 1. assign V469383 = V513660 - 1. assign V907465 = V530329 + 1. assign V191280 = V585848 - 1. assign V290144 = V192060. assign V344606 = V525181. assign V806634 = V757013 - 1. assign V585848 = V366661 + 1. assign V450608 = V514303 + 1. assign V198333 = V499450. assign V157630 = V513660. assign V238487 = V554490. assign V619510 = V554490 + 1. assign V485298 = V192060. assign V871584 = V619051 + 1. assign V383195 = V824884 - 1. assign V499450 = V514303 - 1. assign V383555 = V854387 - 1. assign V905058 = V235192 - 1. assign V402257 = V514303 - 1. assign V687310 = V358220 - 1. assign V289888 = V783086 + 1. assign V296356 = V334308 - 1. assign V603948 = V551518 - 1. assign V583921 = V518434 + 1. assign V734020 = V586922 + 1. assign V392700 = V592686. assign V692222 = V769387 - 1. assign V379419 = V603948 + 1. assign V451926 = V071537 + 1. assign V742996 = V366661 - 1. assign V366661 = V398902. assign V749350 = V589948 - 1. assign V241364 = V734020 - 1. assign V258696 = V358220 + 1. assign V494490 = V592686. assign V066788 = V589948 + 1. assign V366776 = V066788 - 1. assign V648357 = V659731 + 1. assign V094229 = V241364. assign V178250 = V630781. assign V513660 = V249834 + 1. assign V131791 = V589948 - 1. assign V173254 = V783086. assign V022841 = V554490 - 1. assign V111527 = V734020 + 1. assign V249834 = V769387 + 1. assign V990824 = V403769 - 1. assign V693969 = V659731 - 1. assign V284615 = V403769 + 1. assign V854387 = V066788 - 1. assign V381506 = V358220 + 1. assign V356671 = V512285 - 1. assign V112702 = V631469 - 1. assign V766502 = V334308. assign V291505 = V036471 - 1. assign V423323 = V619051 - 1. assign V597645 = V945803. assign V055816 = V589948 - 1. assign V172248 = V423323 - 1. assign V757013 = V398902. assign V036471 = V503942 - 1. assign V231113 = V451926 + 1. assign V398902 = V392700 - 1. assign V442849 = V249834 + 1. assign V088622 = V469383 - 1. assign V953063 = V659731. assign V756475 = V249834. assign V598626 = V619051 + 1. assign V416134 = V238487 + 1. assign V525181 = V692222 + 1. assign V127424 = V756475 + 1. assign V631469 = V724002. assign V442691 = V178250. assign V878261 = V455385 - 1. assign V183036 = V819027 + 1. assign V724002 = V711545. assign V659731 = V055816 + 1. assign V824884 = 8. assign V403769 = V249834 - 1. assign V930943 = V619510 - 1. assign V894755 = V193373 - 1. assign V554490 = V769387. assign V982858 = V778128 - 1. assign V040331 = V398902 + 1. assign V954199 = V530329. assign V414366 = V241364 + 1. assign V040346 = V711545. assign V386667 = V442849 + 1. assign V503942 = V442849. assign V426770 = V589948 + 1. assign V052225 = V513660 - 1. assign V119249 = V592686. assign V697313 = V417724 + 1. assign V768324 = V881548 + 1. assign V530329 = V783086 - 1. assign V842943 = V442849. assign V551518 = V768324. assign V417724 = V423323 - 1. assign V371692 = V417453 - 1. assign V064711 = V381506. assign V196084 = V592686 - 1. assign V619051 = V514303 - 1. assign V778128 = V783086 - 1. assign V235192 = V291505 + 1. assign V169666 = V619510. assign V629380 = V778128 + 1. assign V489610 = V486572 + 1. assign V962530 = V513660 + 1. assign V514303 = V592686. assign V208573 = V503942. assign V589948 = V619051 - 1. assign V366579 = V503942 - 1. assign V071537 = V289888 - 1. assign V329492 = V585848 + 1. assign V893257 = V530329 - 1. assign V786343 = V514303. assign V093533 = V178250. assign V673430 = V778128. assign V630781 = V289888 + 1. assign V259491 = V193373. assign V962889 = V766502 - 1. assign V341930 = V769387 + 1. assign V358220 = V619051 - 1. assign V512285 = V173254. assign V691770 = V383555. assign V172756 = V962530. assign V755560 = V094229. assign V193373 = V426770. assign V243200 = V289888. assign V711545 = V756475 + 1. assign V945803 = V289888 + 1. assign V471338 = V404919 - 1. assign V837667 = V494490. assign V592686 = V783086 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV824884 = 8;\n\nFrom these direct assignment(s), we have: \nV383195 = V824884 - 1 = 8 - 1 =7;\nNo other variables can be derived from V383195;\nNo other variables can be derived from V824884;\n\nNow we have done all the calculations. Derived variables are:\nV824884 = 8;\nV383195 = 7;\n\nNow we have finished this problem. ANSWER:\nV824884\n", "role": "assistant" } ]

[ "V238679", "V243478" ]

[ { "content": "<context>\nassign V858297 = V901484. assign V504370 = V621411 + 1. assign V628341 = V704879 - 1. assign V205618 = V261574 - 1. assign V867598 = V621411. assign V662269 = V155805. assign V410616 = V037110 + 1. assign V441757 = V296681. assign V519846 = V208723 + 1. assign V987932 = V305739 + 1. assign V992828 = V836405 + 1. assign V190137 = V594805 - 1. assign V902122 = V240061 + 1. assign V569446 = V104726. assign V468247 = V548791. assign V984115 = V190137 - 1. assign V142355 = V494454. assign V479166 = V092458 - 1. assign V424403 = V479166 - 1. assign V384573 = V304587 + 1. assign V907900 = V369465. assign V419819 = V504370 + 1. assign V876534 = V858297 + 1. assign V901484 = V302444. assign V548791 = V842312. assign V062956 = V916778. assign V992854 = V002096. assign V807010 = V302444 + 1. assign V836405 = V336553 + 1. assign V208723 = V934010 + 1. assign V591289 = V304587 + 1. assign V261574 = V336553 + 1. assign V396931 = V459642 + 1. assign V136587 = V336553 + 1. assign V947507 = V485252 + 1. assign V326760 = V937982 + 1. assign V286454 = V514668. assign V386757 = V636497 - 1. assign V310432 = V858297 + 1. assign V665238 = V248746 + 1. assign V101950 = V937982. assign V972852 = V931202 - 1. assign V037110 = V136587 + 1. assign V170680 = V807010. assign V809322 = V647706 + 1. assign V104726 = V972852. assign V461507 = V336553. assign V391715 = V142355 - 1. assign V931202 = V310432 - 1. assign V149658 = V136587. assign V312978 = V621411 + 1. assign V205744 = V302444 - 1. assign V288268 = V136587. assign V582911 = V170680 + 1. assign V731634 = V461507 - 1. assign V491158 = V647706 + 1. assign V338876 = V890443. assign V022995 = V902122. assign V612955 = V703680 - 1. assign V662980 = V461507 - 1. assign V723229 = V777411 - 1. assign V304587 = V466151 - 1. assign V043290 = V311770. assign V347401 = V057657 - 1. assign V324521 = V636497 + 1. assign V494454 = V205744 + 1. assign V842312 = V858297 + 1. assign V812204 = V992828. assign V106963 = V261574 - 1. assign V155805 = V496264. assign V038600 = V552685. assign V555938 = V085031 + 1. assign V250508 = V336553 - 1. assign V240244 = V205618 + 1. assign V662338 = V901484. assign V676869 = V415773. assign V514668 = V312978. assign V311770 = V037110 - 1. assign V248746 = V136587 - 1. assign V305739 = V662980 + 1. assign V619689 = V396931. assign V386487 = V992828 + 1. assign V238679 = 10. assign V636497 = V037110 + 1. assign V556995 = V841808. assign V608925 = V304587 + 1. assign V818993 = V735654. assign V002096 = V170680 + 1. assign V349651 = V662338 + 1. assign V296681 = V907900 - 1. assign V485252 = V136587. assign V903507 = V302444. assign V552685 = V514668 + 1. assign V916778 = V324521. assign V704879 = V836405 - 1. assign V810274 = V057657 + 1. assign V357018 = V085031 + 1. assign V459642 = V213655 - 1. assign V540545 = V037110 + 1. assign V534617 = V312978. assign V304736 = V038600 + 1. assign V623823 = V305739 - 1. assign V387611 = V461507. assign V460187 = V374950 - 1. assign V746048 = V085031. assign V027358 = V038600 - 1. assign V782739 = V384573. assign V876552 = V867598. assign V647706 = V311770. assign V643910 = V731634 + 1. assign V536931 = V797836 + 1. assign V388619 = V085031. assign V647274 = V901484. assign V735654 = V357018 + 1. assign V875812 = V261574. assign V757308 = V461507. assign V213655 = V286454. assign V261718 = V261574 - 1. assign V703680 = V992828. assign V422887 = V771186 + 1. assign V990752 = V810274 + 1. assign V611230 = V647706 - 1. assign V937982 = V534617. assign V904606 = V858297. assign V369465 = V807010 + 1. assign V841808 = V889922. assign V130827 = V085031. assign V148906 = V149658. assign V937240 = V384573 - 1. assign V243478 = V238679. assign V533777 = V336553 + 1. assign V256182 = V249660 + 1. assign V415773 = V037110 - 1. assign V495090 = V250508 + 1. assign V240061 = V875812 - 1. assign V631592 = V035187 + 1. assign V496264 = V858297 + 1. assign V327199 = V990752 + 1. assign V771186 = V904606 - 1. assign V379450 = V647706 + 1. assign V770948 = V810274 + 1. assign V797836 = V085031. assign V021002 = V810274 + 1. assign V777411 = V304587. assign V374950 = V534617 - 1. assign V092458 = V904606 + 1. assign V037904 = V992828 - 1. assign V879427 = V904606 - 1. assign V890443 = V904606. assign V878811 = V136587 - 1. assign V742773 = V647274. assign V270134 = V415773 - 1. assign V785754 = V106963. assign V035187 = V731634 + 1. assign V466151 = V836405 - 1. assign V959175 = V270134. assign V934010 = V731634 + 1. assign V336553 = V621411. assign V067340 = V643910. assign V085031 = V037110 - 1. assign V170968 = V149658 + 1. assign V764878 = V777411 + 1. assign V621411 = V302444. assign V640479 = V441757 + 1. assign V057354 = V992828. assign V057657 = V901484 + 1. assign V594805 = V461507 - 1. assign V857694 = V485252 - 1. assign V889922 = V901484. assign V438706 = V415773 + 1. assign V249660 = V057657 + 1. assign V036484 = V902122 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V858297 = V901484. assign V504370 = V621411 + 1. assign V628341 = V704879 - 1. assign V205618 = V261574 - 1. assign V867598 = V621411. assign V662269 = V155805. assign V410616 = V037110 + 1. assign V441757 = V296681. assign V519846 = V208723 + 1. assign V987932 = V305739 + 1. assign V992828 = V836405 + 1. assign V190137 = V594805 - 1. assign V902122 = V240061 + 1. assign V569446 = V104726. assign V468247 = V548791. assign V984115 = V190137 - 1. assign V142355 = V494454. assign V479166 = V092458 - 1. assign V424403 = V479166 - 1. assign V384573 = V304587 + 1. assign V907900 = V369465. assign V419819 = V504370 + 1. assign V876534 = V858297 + 1. assign V901484 = V302444. assign V548791 = V842312. assign V062956 = V916778. assign V992854 = V002096. assign V807010 = V302444 + 1. assign V836405 = V336553 + 1. assign V208723 = V934010 + 1. assign V591289 = V304587 + 1. assign V261574 = V336553 + 1. assign V396931 = V459642 + 1. assign V136587 = V336553 + 1. assign V947507 = V485252 + 1. assign V326760 = V937982 + 1. assign V286454 = V514668. assign V386757 = V636497 - 1. assign V310432 = V858297 + 1. assign V665238 = V248746 + 1. assign V101950 = V937982. assign V972852 = V931202 - 1. assign V037110 = V136587 + 1. assign V170680 = V807010. assign V809322 = V647706 + 1. assign V104726 = V972852. assign V461507 = V336553. assign V391715 = V142355 - 1. assign V931202 = V310432 - 1. assign V149658 = V136587. assign V312978 = V621411 + 1. assign V205744 = V302444 - 1. assign V288268 = V136587. assign V582911 = V170680 + 1. assign V731634 = V461507 - 1. assign V491158 = V647706 + 1. assign V338876 = V890443. assign V022995 = V902122. assign V612955 = V703680 - 1. assign V662980 = V461507 - 1. assign V723229 = V777411 - 1. assign V304587 = V466151 - 1. assign V043290 = V311770. assign V347401 = V057657 - 1. assign V324521 = V636497 + 1. assign V494454 = V205744 + 1. assign V842312 = V858297 + 1. assign V812204 = V992828. assign V106963 = V261574 - 1. assign V155805 = V496264. assign V038600 = V552685. assign V555938 = V085031 + 1. assign V250508 = V336553 - 1. assign V240244 = V205618 + 1. assign V662338 = V901484. assign V676869 = V415773. assign V514668 = V312978. assign V311770 = V037110 - 1. assign V248746 = V136587 - 1. assign V305739 = V662980 + 1. assign V619689 = V396931. assign V386487 = V992828 + 1. assign V238679 = 10. assign V636497 = V037110 + 1. assign V556995 = V841808. assign V608925 = V304587 + 1. assign V818993 = V735654. assign V002096 = V170680 + 1. assign V349651 = V662338 + 1. assign V296681 = V907900 - 1. assign V485252 = V136587. assign V903507 = V302444. assign V552685 = V514668 + 1. assign V916778 = V324521. assign V704879 = V836405 - 1. assign V810274 = V057657 + 1. assign V357018 = V085031 + 1. assign V459642 = V213655 - 1. assign V540545 = V037110 + 1. assign V534617 = V312978. assign V304736 = V038600 + 1. assign V623823 = V305739 - 1. assign V387611 = V461507. assign V460187 = V374950 - 1. assign V746048 = V085031. assign V027358 = V038600 - 1. assign V782739 = V384573. assign V876552 = V867598. assign V647706 = V311770. assign V643910 = V731634 + 1. assign V536931 = V797836 + 1. assign V388619 = V085031. assign V647274 = V901484. assign V735654 = V357018 + 1. assign V875812 = V261574. assign V757308 = V461507. assign V213655 = V286454. assign V261718 = V261574 - 1. assign V703680 = V992828. assign V422887 = V771186 + 1. assign V990752 = V810274 + 1. assign V611230 = V647706 - 1. assign V937982 = V534617. assign V904606 = V858297. assign V369465 = V807010 + 1. assign V841808 = V889922. assign V130827 = V085031. assign V148906 = V149658. assign V937240 = V384573 - 1. assign V243478 = V238679. assign V533777 = V336553 + 1. assign V256182 = V249660 + 1. assign V415773 = V037110 - 1. assign V495090 = V250508 + 1. assign V240061 = V875812 - 1. assign V631592 = V035187 + 1. assign V496264 = V858297 + 1. assign V327199 = V990752 + 1. assign V771186 = V904606 - 1. assign V379450 = V647706 + 1. assign V770948 = V810274 + 1. assign V797836 = V085031. assign V021002 = V810274 + 1. assign V777411 = V304587. assign V374950 = V534617 - 1. assign V092458 = V904606 + 1. assign V037904 = V992828 - 1. assign V879427 = V904606 - 1. assign V890443 = V904606. assign V878811 = V136587 - 1. assign V742773 = V647274. assign V270134 = V415773 - 1. assign V785754 = V106963. assign V035187 = V731634 + 1. assign V466151 = V836405 - 1. assign V959175 = V270134. assign V934010 = V731634 + 1. assign V336553 = V621411. assign V067340 = V643910. assign V085031 = V037110 - 1. assign V170968 = V149658 + 1. assign V764878 = V777411 + 1. assign V621411 = V302444. assign V640479 = V441757 + 1. assign V057354 = V992828. assign V057657 = V901484 + 1. assign V594805 = V461507 - 1. assign V857694 = V485252 - 1. assign V889922 = V901484. assign V438706 = V415773 + 1. assign V249660 = V057657 + 1. assign V036484 = V902122 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV238679 = 10;\n\nFrom these direct assignment(s), we have: \nV243478 = V238679 = 10;\nNo other variables can be derived from V243478;\nNo other variables can be derived from V238679;\n\nNow we have done all the calculations. Derived variables are:\nV238679 = 10;\nV243478 = 10;\n\nNow we have finished this problem. ANSWER:\nV238679, V243478\n", "role": "assistant" } ]

[ "V633257" ]

[ { "content": "<context>\nassign V390152 = V129636. assign V814684 = V593362 - 1. assign V839302 = V754812 - 1. assign V875006 = V863394. assign V360960 = V745679 - 1. assign V637873 = V368658 + 1. assign V392584 = V339107 - 1. assign V790148 = V048038 - 1. assign V251432 = V099084. assign V499328 = V360960. assign V298720 = V144436 + 1. assign V156221 = V058896 + 1. assign V365977 = V305504 - 1. assign V122004 = V881127 - 1. assign V803030 = V508172. assign V943630 = V144436. assign V228075 = V260935 - 1. assign V327518 = V344479 - 1. assign V191420 = V327518. assign V881127 = V201683. assign V305504 = V839302. assign V297612 = V037304. assign V048038 = V361320 - 1. assign V741060 = V050924. assign V968895 = V882772 - 1. assign V099086 = V745679. assign V650273 = V971440 - 1. assign V593362 = V745679. assign V314776 = V201683 + 1. assign V882772 = V814684 - 1. assign V009797 = 8. assign V237715 = V314776 - 1. assign V821708 = V050924. assign V378121 = V833828 + 1. assign V058780 = V240544 + 1. assign V997527 = V068305 + 1. assign V998599 = V201683. assign V026438 = V260935. assign V315890 = V022941. assign V167051 = V240363 + 1. assign V410907 = V026438 - 1. assign V745679 = V819874 - 1. assign V914669 = V970018 - 1. assign V807055 = V058896 + 1. assign V361320 = V129636. assign V777971 = V178568. assign V344273 = V857634 - 1. assign V021413 = V587348 - 1. assign V177260 = V837986. assign V478464 = V593362 + 1. assign V837986 = V050924 + 1. assign V186440 = V137759 + 1. assign V970018 = V137759 + 1. assign V960450 = V971440. assign V050444 = V819874 + 1. assign V597236 = V228251. assign V895188 = V508172. assign V001805 = V984675 - 1. assign V544143 = V058896 + 1. assign V137348 = V048038 + 1. assign V687036 = V166475 - 1. assign V780345 = V322606 + 1. assign V819874 = V201683 + 1. assign V337509 = V390152. assign V882152 = V691762 - 1. assign V721607 = V833828. assign V541235 = V499328 + 1. assign V260935 = V819874. assign V984675 = V260935 - 1. assign V240363 = V819874. assign V166475 = V214878 - 1. assign V430444 = V591783 + 1. assign V571894 = V201683 - 1. assign V240544 = V026438 + 1. assign V132268 = V129636 + 1. assign V833828 = V166475 + 1. assign V805966 = V237715. assign V178568 = V745679 - 1. assign V458956 = V717316. assign V651905 = V246376 + 1. assign V228251 = V587348 - 1. assign V482226 = V298720. assign V866127 = V240544 + 1. assign V599023 = V368658 + 1. assign V073956 = V474808 - 1. assign V799357 = V214878. assign V761240 = V246376. assign V849294 = V356770 - 1. assign V392107 = V339107 + 1. assign V553725 = V562217 + 1. assign V938795 = V754812 + 1. assign V971440 = V228075 + 1. assign V658900 = V580122. assign V857634 = V745679 + 1. assign V058896 = V129636. assign V433465 = V625232 - 1. assign V717316 = V058896 - 1. assign V099084 = V129636 - 1. assign V754812 = V228075 + 1. assign V482736 = V971440 - 1. assign V214878 = V286307 - 1. assign V476273 = V998599 - 1. assign V353164 = V971440 - 1. assign V371956 = V976863 - 1. assign V774002 = V286307. assign V093484 = V799357. assign V134529 = V339107. assign V780887 = V881127. assign V900572 = V881127 - 1. assign V280384 = V833828. assign V843106 = V086144. assign V085711 = V565659 + 1. assign V177748 = V785666 - 1. assign V270169 = V650273 + 1. assign V201683 = V132268 + 1. assign V587348 = V058896. assign V068305 = V021413. assign V129855 = V178568. assign V770952 = V166475. assign V508172 = V881127 - 1. assign V102414 = V960450 + 1. assign V863394 = V228075. assign V344479 = V099086 + 1. assign V604565 = V339107. assign V103448 = V875006. assign V433488 = V895188 - 1. assign V339107 = V260935. assign V356770 = V246376. assign V497491 = V474808 - 1. assign V751072 = V541235. assign V489806 = V573527 - 1. assign V591783 = V215954 + 1. assign V562217 = V344479 - 1. assign V122460 = V777971. assign V490696 = V803030 + 1. assign V565659 = V122004 - 1. assign V262939 = V625232 - 1. assign V050924 = V201683. assign V137759 = V240363 + 1. assign V532010 = V839302 - 1. assign V322606 = V360960. assign V246376 = V201683. assign V114461 = V591783. assign V785666 = V499328 + 1. assign V453532 = V761950 - 1. assign V645470 = V246376 + 1. assign V580122 = V597236 + 1. assign V368658 = V895188. assign V037304 = V938795 + 1. assign V625232 = V571894 + 1. assign V349659 = V803030. assign V761950 = V573527 + 1. assign V321491 = V857634 + 1. assign V361377 = V474570. assign V852686 = V167051 - 1. assign V286307 = V240544 - 1. assign V665637 = V971440 - 1. assign V144436 = V339107. assign V526369 = V895188. assign V976863 = V780887 + 1. assign V086144 = V237715 - 1. assign V474570 = V489806 + 1. assign V691762 = V177748. assign V022941 = V780345 - 1. assign V573527 = V895188. assign V474808 = V099086 + 1. assign V215954 = V573527. assign V657460 = V997527. assign V999685 = V144436. assign V633257 = V009797 - 1. assign V250841 = V971440. assign V707047 = V597236 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V390152 = V129636. assign V814684 = V593362 - 1. assign V839302 = V754812 - 1. assign V875006 = V863394. assign V360960 = V745679 - 1. assign V637873 = V368658 + 1. assign V392584 = V339107 - 1. assign V790148 = V048038 - 1. assign V251432 = V099084. assign V499328 = V360960. assign V298720 = V144436 + 1. assign V156221 = V058896 + 1. assign V365977 = V305504 - 1. assign V122004 = V881127 - 1. assign V803030 = V508172. assign V943630 = V144436. assign V228075 = V260935 - 1. assign V327518 = V344479 - 1. assign V191420 = V327518. assign V881127 = V201683. assign V305504 = V839302. assign V297612 = V037304. assign V048038 = V361320 - 1. assign V741060 = V050924. assign V968895 = V882772 - 1. assign V099086 = V745679. assign V650273 = V971440 - 1. assign V593362 = V745679. assign V314776 = V201683 + 1. assign V882772 = V814684 - 1. assign V009797 = 8. assign V237715 = V314776 - 1. assign V821708 = V050924. assign V378121 = V833828 + 1. assign V058780 = V240544 + 1. assign V997527 = V068305 + 1. assign V998599 = V201683. assign V026438 = V260935. assign V315890 = V022941. assign V167051 = V240363 + 1. assign V410907 = V026438 - 1. assign V745679 = V819874 - 1. assign V914669 = V970018 - 1. assign V807055 = V058896 + 1. assign V361320 = V129636. assign V777971 = V178568. assign V344273 = V857634 - 1. assign V021413 = V587348 - 1. assign V177260 = V837986. assign V478464 = V593362 + 1. assign V837986 = V050924 + 1. assign V186440 = V137759 + 1. assign V970018 = V137759 + 1. assign V960450 = V971440. assign V050444 = V819874 + 1. assign V597236 = V228251. assign V895188 = V508172. assign V001805 = V984675 - 1. assign V544143 = V058896 + 1. assign V137348 = V048038 + 1. assign V687036 = V166475 - 1. assign V780345 = V322606 + 1. assign V819874 = V201683 + 1. assign V337509 = V390152. assign V882152 = V691762 - 1. assign V721607 = V833828. assign V541235 = V499328 + 1. assign V260935 = V819874. assign V984675 = V260935 - 1. assign V240363 = V819874. assign V166475 = V214878 - 1. assign V430444 = V591783 + 1. assign V571894 = V201683 - 1. assign V240544 = V026438 + 1. assign V132268 = V129636 + 1. assign V833828 = V166475 + 1. assign V805966 = V237715. assign V178568 = V745679 - 1. assign V458956 = V717316. assign V651905 = V246376 + 1. assign V228251 = V587348 - 1. assign V482226 = V298720. assign V866127 = V240544 + 1. assign V599023 = V368658 + 1. assign V073956 = V474808 - 1. assign V799357 = V214878. assign V761240 = V246376. assign V849294 = V356770 - 1. assign V392107 = V339107 + 1. assign V553725 = V562217 + 1. assign V938795 = V754812 + 1. assign V971440 = V228075 + 1. assign V658900 = V580122. assign V857634 = V745679 + 1. assign V058896 = V129636. assign V433465 = V625232 - 1. assign V717316 = V058896 - 1. assign V099084 = V129636 - 1. assign V754812 = V228075 + 1. assign V482736 = V971440 - 1. assign V214878 = V286307 - 1. assign V476273 = V998599 - 1. assign V353164 = V971440 - 1. assign V371956 = V976863 - 1. assign V774002 = V286307. assign V093484 = V799357. assign V134529 = V339107. assign V780887 = V881127. assign V900572 = V881127 - 1. assign V280384 = V833828. assign V843106 = V086144. assign V085711 = V565659 + 1. assign V177748 = V785666 - 1. assign V270169 = V650273 + 1. assign V201683 = V132268 + 1. assign V587348 = V058896. assign V068305 = V021413. assign V129855 = V178568. assign V770952 = V166475. assign V508172 = V881127 - 1. assign V102414 = V960450 + 1. assign V863394 = V228075. assign V344479 = V099086 + 1. assign V604565 = V339107. assign V103448 = V875006. assign V433488 = V895188 - 1. assign V339107 = V260935. assign V356770 = V246376. assign V497491 = V474808 - 1. assign V751072 = V541235. assign V489806 = V573527 - 1. assign V591783 = V215954 + 1. assign V562217 = V344479 - 1. assign V122460 = V777971. assign V490696 = V803030 + 1. assign V565659 = V122004 - 1. assign V262939 = V625232 - 1. assign V050924 = V201683. assign V137759 = V240363 + 1. assign V532010 = V839302 - 1. assign V322606 = V360960. assign V246376 = V201683. assign V114461 = V591783. assign V785666 = V499328 + 1. assign V453532 = V761950 - 1. assign V645470 = V246376 + 1. assign V580122 = V597236 + 1. assign V368658 = V895188. assign V037304 = V938795 + 1. assign V625232 = V571894 + 1. assign V349659 = V803030. assign V761950 = V573527 + 1. assign V321491 = V857634 + 1. assign V361377 = V474570. assign V852686 = V167051 - 1. assign V286307 = V240544 - 1. assign V665637 = V971440 - 1. assign V144436 = V339107. assign V526369 = V895188. assign V976863 = V780887 + 1. assign V086144 = V237715 - 1. assign V474570 = V489806 + 1. assign V691762 = V177748. assign V022941 = V780345 - 1. assign V573527 = V895188. assign V474808 = V099086 + 1. assign V215954 = V573527. assign V657460 = V997527. assign V999685 = V144436. assign V633257 = V009797 - 1. assign V250841 = V971440. assign V707047 = V597236 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV009797 = 8;\n\nFrom these direct assignment(s), we have: \nV633257 = V009797 - 1 = 8 - 1 =7;\nNo other variables can be derived from V633257;\nNo other variables can be derived from V009797;\n\nNow we have done all the calculations. Derived variables are:\nV009797 = 8;\nV633257 = 7;\n\nNow we have finished this problem. ANSWER:\nV633257\n", "role": "assistant" } ]

[ "V476021" ]

[ { "content": "<context>\nassign V837863 = V063584 + 1. assign V509081 = V492664. assign V349012 = V241687 + 1. assign V498662 = V573479 - 1. assign V999470 = V413271 - 1. assign V939999 = V643189 + 1. assign V367060 = V442246 + 1. assign V876520 = V912172 - 1. assign V213057 = V442246. assign V170643 = V318343. assign V418611 = V511305 + 1. assign V678727 = V950207 + 1. assign V108510 = V346190. assign V445322 = V876520. assign V124680 = V393899 + 1. assign V573479 = V452803 + 1. assign V127024 = V024868. assign V747933 = V160295 - 1. assign V583684 = V226373. assign V702920 = V201420. assign V519008 = V173384 + 1. assign V063584 = V620102 + 1. assign V480090 = V024868. assign V950207 = V999203 + 1. assign V346190 = V851222 + 1. assign V543226 = V339974. assign V193202 = V851222 - 1. assign V492664 = V912172. assign V116657 = V076401 - 1. assign V795201 = V192447. assign V148356 = V775073 + 1. assign V271910 = V519008 + 1. assign V542573 = V678727 - 1. assign V606739 = V542716 - 1. assign V439989 = V161994 + 1. assign V027166 = V393899 + 1. assign V442246 = V193202 + 1. assign V893199 = V439989. assign V912172 = V024868 + 1. assign V054024 = V795201. assign V531759 = V024868 - 1. assign V751383 = V192447 - 1. assign V840418 = V054024 + 1. assign V791661 = V054024 + 1. assign V734108 = V439498 + 1. assign V984879 = V241687 + 1. assign V040891 = V076401. assign V959833 = V167697. assign V776008 = V452803. assign V511305 = V193202 + 1. assign V063919 = V161994 - 1. assign V593210 = V759575 - 1. assign V075454 = V776008. assign V759575 = V480090. assign V696561 = V814374 - 1. assign V946598 = V439989. assign V042511 = V439498 - 1. assign V995635 = V040891 + 1. assign V719890 = V573479. assign V886757 = V051227 - 1. assign V775073 = V383850. assign V060167 = V192447. assign V798147 = V092501 - 1. assign V087139 = V051227 - 1. assign V831045 = V492664. assign V602780 = V620102. assign V686991 = V201420. assign V442398 = V840718 + 1. assign V092501 = V881173 + 1. assign V694496 = V051227. assign V173384 = V024868 - 1. assign V811402 = V719890. assign V529754 = V226373 - 1. assign V469163 = V179335 - 1. assign V015845 = V267806. assign V954821 = V246929 + 1. assign V826563 = V795201 - 1. assign V465675 = V155685. assign V872503 = V116657 + 1. assign V192447 = V340685 - 1. assign V920400 = V509948 - 1. assign V532325 = V318343 + 1. assign V402614 = V452803 + 1. assign V542716 = V702287 + 1. assign V413271 = V173384 - 1. assign V452803 = V531759 - 1. assign V812650 = V393899 + 1. assign V885094 = V837863 + 1. assign V181124 = V492664 + 1. assign V375450 = V795201 - 1. assign V132868 = V465675. assign V112003 = V116657 + 1. assign V476021 = V148511 + 1. assign V167697 = V076401. assign V670328 = V812650 - 1. assign V817888 = V984879 + 1. assign V359544 = V116657. assign V051227 = V452803. assign V148511 = 10. assign V076401 = V912172 - 1. assign V107171 = V469163 - 1. assign V533149 = V413271 - 1. assign V004200 = V127024 + 1. assign V324422 = V531759 - 1. assign V391868 = V789135. assign V160295 = V092501 - 1. assign V339974 = V492664 + 1. assign V843085 = V702287 - 1. assign V489838 = V620102 - 1. assign V176094 = V241687. assign V343986 = V193202. assign V389712 = V439498 - 1. assign V321665 = V999203. assign V022961 = V166179 - 1. assign V122840 = V181124 - 1. assign V095869 = V040891. assign V781324 = V324422 - 1. assign V953961 = V776008. assign V688022 = V439989 - 1. assign V020215 = V127024 + 1. assign V707258 = V912172 + 1. assign V702287 = V950207 - 1. assign V814374 = V999203 + 1. assign V161994 = V024868 - 1. assign V641448 = V127024. assign V332258 = V203158 + 1. assign V540001 = V192447 + 1. assign V340685 = V127024. assign V472463 = V057337 - 1. assign V179335 = V173384. assign V112426 = V719890 + 1. assign V698452 = V112003 - 1. assign V318343 = V383850 - 1. assign V789135 = V953961 - 1. assign V881173 = V413271. assign V166179 = V707258. assign V809661 = V946598. assign V746294 = V812650. assign V272765 = V686991 + 1. assign V999203 = V024868 + 1. assign V246929 = V688022 - 1. assign V840718 = V079582 - 1. assign V946744 = V837863 + 1. assign V383850 = V795201 + 1. assign V863707 = V513374. assign V901735 = V271910 + 1. assign V311603 = V688022. assign V620102 = V776008 - 1. assign V226373 = V900533. assign V851222 = V024868 + 1. assign V764315 = V095869. assign V203158 = V413271 + 1. assign V484992 = V393899 + 1. assign V241687 = V022961 + 1. assign V900533 = V759575 + 1. assign V155685 = V340685 - 1. assign V230042 = V480090 - 1. assign V267806 = V413271 - 1. assign V044299 = V452803. assign V393899 = V346190 - 1. assign V509948 = V161994. assign V267322 = V492664 + 1. assign V380795 = V840718 + 1. assign V439498 = V702920. assign V643189 = V092501. assign V513374 = V161994 - 1. assign V135009 = V620102 - 1. assign V057337 = V127024 + 1. assign V279114 = V063919 - 1. assign V201420 = V620102 + 1. assign V079582 = V051227 + 1. assign V180205 = V127024.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V837863 = V063584 + 1. assign V509081 = V492664. assign V349012 = V241687 + 1. assign V498662 = V573479 - 1. assign V999470 = V413271 - 1. assign V939999 = V643189 + 1. assign V367060 = V442246 + 1. assign V876520 = V912172 - 1. assign V213057 = V442246. assign V170643 = V318343. assign V418611 = V511305 + 1. assign V678727 = V950207 + 1. assign V108510 = V346190. assign V445322 = V876520. assign V124680 = V393899 + 1. assign V573479 = V452803 + 1. assign V127024 = V024868. assign V747933 = V160295 - 1. assign V583684 = V226373. assign V702920 = V201420. assign V519008 = V173384 + 1. assign V063584 = V620102 + 1. assign V480090 = V024868. assign V950207 = V999203 + 1. assign V346190 = V851222 + 1. assign V543226 = V339974. assign V193202 = V851222 - 1. assign V492664 = V912172. assign V116657 = V076401 - 1. assign V795201 = V192447. assign V148356 = V775073 + 1. assign V271910 = V519008 + 1. assign V542573 = V678727 - 1. assign V606739 = V542716 - 1. assign V439989 = V161994 + 1. assign V027166 = V393899 + 1. assign V442246 = V193202 + 1. assign V893199 = V439989. assign V912172 = V024868 + 1. assign V054024 = V795201. assign V531759 = V024868 - 1. assign V751383 = V192447 - 1. assign V840418 = V054024 + 1. assign V791661 = V054024 + 1. assign V734108 = V439498 + 1. assign V984879 = V241687 + 1. assign V040891 = V076401. assign V959833 = V167697. assign V776008 = V452803. assign V511305 = V193202 + 1. assign V063919 = V161994 - 1. assign V593210 = V759575 - 1. assign V075454 = V776008. assign V759575 = V480090. assign V696561 = V814374 - 1. assign V946598 = V439989. assign V042511 = V439498 - 1. assign V995635 = V040891 + 1. assign V719890 = V573479. assign V886757 = V051227 - 1. assign V775073 = V383850. assign V060167 = V192447. assign V798147 = V092501 - 1. assign V087139 = V051227 - 1. assign V831045 = V492664. assign V602780 = V620102. assign V686991 = V201420. assign V442398 = V840718 + 1. assign V092501 = V881173 + 1. assign V694496 = V051227. assign V173384 = V024868 - 1. assign V811402 = V719890. assign V529754 = V226373 - 1. assign V469163 = V179335 - 1. assign V015845 = V267806. assign V954821 = V246929 + 1. assign V826563 = V795201 - 1. assign V465675 = V155685. assign V872503 = V116657 + 1. assign V192447 = V340685 - 1. assign V920400 = V509948 - 1. assign V532325 = V318343 + 1. assign V402614 = V452803 + 1. assign V542716 = V702287 + 1. assign V413271 = V173384 - 1. assign V452803 = V531759 - 1. assign V812650 = V393899 + 1. assign V885094 = V837863 + 1. assign V181124 = V492664 + 1. assign V375450 = V795201 - 1. assign V132868 = V465675. assign V112003 = V116657 + 1. assign V476021 = V148511 + 1. assign V167697 = V076401. assign V670328 = V812650 - 1. assign V817888 = V984879 + 1. assign V359544 = V116657. assign V051227 = V452803. assign V148511 = 10. assign V076401 = V912172 - 1. assign V107171 = V469163 - 1. assign V533149 = V413271 - 1. assign V004200 = V127024 + 1. assign V324422 = V531759 - 1. assign V391868 = V789135. assign V160295 = V092501 - 1. assign V339974 = V492664 + 1. assign V843085 = V702287 - 1. assign V489838 = V620102 - 1. assign V176094 = V241687. assign V343986 = V193202. assign V389712 = V439498 - 1. assign V321665 = V999203. assign V022961 = V166179 - 1. assign V122840 = V181124 - 1. assign V095869 = V040891. assign V781324 = V324422 - 1. assign V953961 = V776008. assign V688022 = V439989 - 1. assign V020215 = V127024 + 1. assign V707258 = V912172 + 1. assign V702287 = V950207 - 1. assign V814374 = V999203 + 1. assign V161994 = V024868 - 1. assign V641448 = V127024. assign V332258 = V203158 + 1. assign V540001 = V192447 + 1. assign V340685 = V127024. assign V472463 = V057337 - 1. assign V179335 = V173384. assign V112426 = V719890 + 1. assign V698452 = V112003 - 1. assign V318343 = V383850 - 1. assign V789135 = V953961 - 1. assign V881173 = V413271. assign V166179 = V707258. assign V809661 = V946598. assign V746294 = V812650. assign V272765 = V686991 + 1. assign V999203 = V024868 + 1. assign V246929 = V688022 - 1. assign V840718 = V079582 - 1. assign V946744 = V837863 + 1. assign V383850 = V795201 + 1. assign V863707 = V513374. assign V901735 = V271910 + 1. assign V311603 = V688022. assign V620102 = V776008 - 1. assign V226373 = V900533. assign V851222 = V024868 + 1. assign V764315 = V095869. assign V203158 = V413271 + 1. assign V484992 = V393899 + 1. assign V241687 = V022961 + 1. assign V900533 = V759575 + 1. assign V155685 = V340685 - 1. assign V230042 = V480090 - 1. assign V267806 = V413271 - 1. assign V044299 = V452803. assign V393899 = V346190 - 1. assign V509948 = V161994. assign V267322 = V492664 + 1. assign V380795 = V840718 + 1. assign V439498 = V702920. assign V643189 = V092501. assign V513374 = V161994 - 1. assign V135009 = V620102 - 1. assign V057337 = V127024 + 1. assign V279114 = V063919 - 1. assign V201420 = V620102 + 1. assign V079582 = V051227 + 1. assign V180205 = V127024.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV148511 = 10;\n\nFrom these direct assignment(s), we have: \nV476021 = V148511 + 1 = 10 + 1 =11;\nNo other variables can be derived from V476021;\nNo other variables can be derived from V148511;\n\nNow we have done all the calculations. Derived variables are:\nV148511 = 10;\nV476021 = 11;\n\nNow we have finished this problem. ANSWER:\nV476021\n", "role": "assistant" } ]

[ "V741796" ]

[ { "content": "<context>\nassign V766056 = V500119. assign V637211 = V847749 + 1. assign V643500 = V451063 + 1. assign V006180 = V735094 - 1. assign V983151 = V712731. assign V509560 = V843284 + 1. assign V565189 = V125537 + 1. assign V028883 = V625768 - 1. assign V458480 = V432552. assign V025931 = V735094. assign V803707 = V847840 - 1. assign V209583 = V901158. assign V803566 = V599971 + 1. assign V015159 = V326650. assign V210190 = V386339 + 1. assign V622766 = V349214 - 1. assign V956006 = V847749 - 1. assign V091207 = V662539 + 1. assign V820936 = V347469 + 1. assign V733041 = V468449. assign V901158 = V386339 - 1. assign V662539 = V843284 + 1. assign V717299 = V375582. assign V990021 = V631505. assign V873681 = V803707. assign V598097 = V892319 - 1. assign V888174 = V224043 - 1. assign V319861 = V988477 - 1. assign V291238 = V302402 + 1. assign V795682 = V246289 - 1. assign V438411 = V894179 - 1. assign V750408 = V625768 - 1. assign V192002 = V733041. assign V125537 = V847840. assign V560557 = V903075 + 1. assign V227271 = V451063 + 1. assign V755690 = V938805 - 1. assign V268432 = V125311 - 1. assign V473607 = V803707. assign V000052 = V247756 - 1. assign V793482 = V637211. assign V897264 = V438411 - 1. assign V938805 = V181700 - 1. assign V149468 = V894179 + 1. assign V549781 = V383899 + 1. assign V003554 = V746503. assign V816446 = 5. assign V356323 = V178022 + 1. assign V037932 = V349214 - 1. assign V184295 = V847749 - 1. assign V381584 = V717299 - 1. assign V016949 = V795682. assign V989788 = V712731 + 1. assign V365943 = V507685. assign V744065 = V761060 - 1. assign V229318 = V221199 - 1. assign V599971 = V622766 + 1. assign V178022 = V503314 - 1. assign V494521 = V178514 - 1. assign V503314 = V750408. assign V289958 = V847840 - 1. assign V334621 = V503506 + 1. assign V468449 = V432552. assign V903075 = V843284 - 1. assign V735094 = V631505 + 1. assign V719745 = V567622 + 1. assign V153783 = V846853. assign V104363 = V860606 + 1. assign V386339 = V988477 + 1. assign V734967 = V153783. assign V125311 = V826069. assign V892319 = V178514 + 1. assign V069741 = V988477. assign V939819 = V474243 - 1. assign V375582 = V903592 - 1. assign V593782 = V560557 - 1. assign V282750 = V016949. assign V457777 = V994875 + 1. assign V474243 = V988477 - 1. assign V514996 = V000052 + 1. assign V711786 = V006180 - 1. assign V247756 = V178514 - 1. assign V206003 = V637211 + 1. assign V500119 = V846853 - 1. assign V803708 = V795682 + 1. assign V899296 = V194486 - 1. assign V214817 = V750408. assign V180254 = V894179 - 1. assign V512823 = V625768. assign V860606 = V637211. assign V008370 = V223859. assign V756374 = V386339 + 1. assign V748000 = V631505 + 1. assign V801044 = V983151 + 1. assign V712731 = V750408. assign V194486 = V472643 - 1. assign V491338 = V901158 - 1. assign V223859 = V149468 + 1. assign V845533 = V843284 - 1. assign V428033 = V599971 + 1. assign V258053 = V637211 - 1. assign V346990 = V903075 - 1. assign V865440 = V619372 + 1. assign V843284 = V002028. assign V786516 = V860606. assign V059145 = V037932. assign V631505 = V894179 + 1. assign V326650 = V598097. assign V036170 = V002028 - 1. assign V903592 = V006180. assign V077795 = V718125 - 1. assign V870505 = V246289 + 1. assign V442031 = V711786 + 1. assign V192730 = V125311. assign V755213 = V494521 + 1. assign V166145 = V210190 - 1. assign V221199 = V512823 + 1. assign V619372 = V149468 - 1. assign V737259 = V870505 + 1. assign V847749 = V178514. assign V678734 = V735094 - 1. assign V591704 = V791578. assign V988771 = V622766 - 1. assign V349214 = V894179. assign V472643 = V503314. assign V451063 = V457777 - 1. assign V507685 = V036170 + 1. assign V846853 = V847749. assign V988477 = V678734 + 1. assign V610130 = V247756 - 1. assign V718125 = V389344 + 1. assign V161149 = V349214. assign V441816 = V375582. assign V625768 = V892319 - 1. assign V477449 = V077795. assign V835646 = V892319 + 1. assign V920956 = V847749 - 1. assign V439286 = V389344 + 1. assign V347469 = V227271 + 1. assign V947306 = V755690 + 1. assign V181700 = V786516 + 1. assign V002028 = V178514. assign V251398 = V541541 + 1. assign V432552 = V258053 - 1. assign V567622 = V258053 + 1. assign V502156 = V637211 - 1. assign V847840 = V178514 - 1. assign V555679 = V631505. assign V746503 = V678734. assign V369653 = V383899. assign V246289 = V637211. assign V791578 = V381584 - 1. assign V224043 = V678734 - 1. assign V061468 = V735094. assign V896422 = V223859 + 1. assign V083484 = V795682 + 1. assign V476330 = V847840. assign V541541 = V432552 - 1. assign V175389 = V903592 + 1. assign V794900 = V735094 + 1. assign V383899 = V149468 - 1. assign V302402 = V451063 - 1. assign V989546 = V247756 - 1. assign V711631 = V206003 - 1. assign V741796 = V816446 - 1. assign V826069 = V258053 + 1. assign V503506 = V104363 + 1. assign V389344 = V178514 + 1. assign V761060 = V894179 + 1. assign V994875 = V178514. assign V894179 = V847840. assign V260636 = V149468 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V766056 = V500119. assign V637211 = V847749 + 1. assign V643500 = V451063 + 1. assign V006180 = V735094 - 1. assign V983151 = V712731. assign V509560 = V843284 + 1. assign V565189 = V125537 + 1. assign V028883 = V625768 - 1. assign V458480 = V432552. assign V025931 = V735094. assign V803707 = V847840 - 1. assign V209583 = V901158. assign V803566 = V599971 + 1. assign V015159 = V326650. assign V210190 = V386339 + 1. assign V622766 = V349214 - 1. assign V956006 = V847749 - 1. assign V091207 = V662539 + 1. assign V820936 = V347469 + 1. assign V733041 = V468449. assign V901158 = V386339 - 1. assign V662539 = V843284 + 1. assign V717299 = V375582. assign V990021 = V631505. assign V873681 = V803707. assign V598097 = V892319 - 1. assign V888174 = V224043 - 1. assign V319861 = V988477 - 1. assign V291238 = V302402 + 1. assign V795682 = V246289 - 1. assign V438411 = V894179 - 1. assign V750408 = V625768 - 1. assign V192002 = V733041. assign V125537 = V847840. assign V560557 = V903075 + 1. assign V227271 = V451063 + 1. assign V755690 = V938805 - 1. assign V268432 = V125311 - 1. assign V473607 = V803707. assign V000052 = V247756 - 1. assign V793482 = V637211. assign V897264 = V438411 - 1. assign V938805 = V181700 - 1. assign V149468 = V894179 + 1. assign V549781 = V383899 + 1. assign V003554 = V746503. assign V816446 = 5. assign V356323 = V178022 + 1. assign V037932 = V349214 - 1. assign V184295 = V847749 - 1. assign V381584 = V717299 - 1. assign V016949 = V795682. assign V989788 = V712731 + 1. assign V365943 = V507685. assign V744065 = V761060 - 1. assign V229318 = V221199 - 1. assign V599971 = V622766 + 1. assign V178022 = V503314 - 1. assign V494521 = V178514 - 1. assign V503314 = V750408. assign V289958 = V847840 - 1. assign V334621 = V503506 + 1. assign V468449 = V432552. assign V903075 = V843284 - 1. assign V735094 = V631505 + 1. assign V719745 = V567622 + 1. assign V153783 = V846853. assign V104363 = V860606 + 1. assign V386339 = V988477 + 1. assign V734967 = V153783. assign V125311 = V826069. assign V892319 = V178514 + 1. assign V069741 = V988477. assign V939819 = V474243 - 1. assign V375582 = V903592 - 1. assign V593782 = V560557 - 1. assign V282750 = V016949. assign V457777 = V994875 + 1. assign V474243 = V988477 - 1. assign V514996 = V000052 + 1. assign V711786 = V006180 - 1. assign V247756 = V178514 - 1. assign V206003 = V637211 + 1. assign V500119 = V846853 - 1. assign V803708 = V795682 + 1. assign V899296 = V194486 - 1. assign V214817 = V750408. assign V180254 = V894179 - 1. assign V512823 = V625768. assign V860606 = V637211. assign V008370 = V223859. assign V756374 = V386339 + 1. assign V748000 = V631505 + 1. assign V801044 = V983151 + 1. assign V712731 = V750408. assign V194486 = V472643 - 1. assign V491338 = V901158 - 1. assign V223859 = V149468 + 1. assign V845533 = V843284 - 1. assign V428033 = V599971 + 1. assign V258053 = V637211 - 1. assign V346990 = V903075 - 1. assign V865440 = V619372 + 1. assign V843284 = V002028. assign V786516 = V860606. assign V059145 = V037932. assign V631505 = V894179 + 1. assign V326650 = V598097. assign V036170 = V002028 - 1. assign V903592 = V006180. assign V077795 = V718125 - 1. assign V870505 = V246289 + 1. assign V442031 = V711786 + 1. assign V192730 = V125311. assign V755213 = V494521 + 1. assign V166145 = V210190 - 1. assign V221199 = V512823 + 1. assign V619372 = V149468 - 1. assign V737259 = V870505 + 1. assign V847749 = V178514. assign V678734 = V735094 - 1. assign V591704 = V791578. assign V988771 = V622766 - 1. assign V349214 = V894179. assign V472643 = V503314. assign V451063 = V457777 - 1. assign V507685 = V036170 + 1. assign V846853 = V847749. assign V988477 = V678734 + 1. assign V610130 = V247756 - 1. assign V718125 = V389344 + 1. assign V161149 = V349214. assign V441816 = V375582. assign V625768 = V892319 - 1. assign V477449 = V077795. assign V835646 = V892319 + 1. assign V920956 = V847749 - 1. assign V439286 = V389344 + 1. assign V347469 = V227271 + 1. assign V947306 = V755690 + 1. assign V181700 = V786516 + 1. assign V002028 = V178514. assign V251398 = V541541 + 1. assign V432552 = V258053 - 1. assign V567622 = V258053 + 1. assign V502156 = V637211 - 1. assign V847840 = V178514 - 1. assign V555679 = V631505. assign V746503 = V678734. assign V369653 = V383899. assign V246289 = V637211. assign V791578 = V381584 - 1. assign V224043 = V678734 - 1. assign V061468 = V735094. assign V896422 = V223859 + 1. assign V083484 = V795682 + 1. assign V476330 = V847840. assign V541541 = V432552 - 1. assign V175389 = V903592 + 1. assign V794900 = V735094 + 1. assign V383899 = V149468 - 1. assign V302402 = V451063 - 1. assign V989546 = V247756 - 1. assign V711631 = V206003 - 1. assign V741796 = V816446 - 1. assign V826069 = V258053 + 1. assign V503506 = V104363 + 1. assign V389344 = V178514 + 1. assign V761060 = V894179 + 1. assign V994875 = V178514. assign V894179 = V847840. assign V260636 = V149468 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV816446 = 5;\n\nFrom these direct assignment(s), we have: \nV741796 = V816446 - 1 = 5 - 1 =4;\nNo other variables can be derived from V741796;\nNo other variables can be derived from V816446;\n\nNow we have done all the calculations. Derived variables are:\nV816446 = 5;\nV741796 = 4;\n\nNow we have finished this problem. ANSWER:\nV741796\n", "role": "assistant" } ]

[ "V619989" ]

[ { "content": "<context>\nassign V519813 = V087578 - 1. assign V847204 = V315254 - 1. assign V871555 = V699548 - 1. assign V023623 = V500924 + 1. assign V711656 = V387303 - 1. assign V450292 = V814515 + 1. assign V674016 = V766844. assign V585309 = V075397. assign V621427 = V450292 + 1. assign V843897 = V864920. assign V226156 = V847318. assign V818625 = V340936 - 1. assign V070195 = V873050 - 1. assign V315254 = V096248 + 1. assign V867819 = V130150. assign V329517 = V912092 - 1. assign V054951 = V309031 + 1. assign V969833 = V562293 + 1. assign V085297 = V854347. assign V490653 = V677188 + 1. assign V488440 = V672507. assign V422073 = V699730 - 1. assign V298324 = V562293 + 1. assign V577588 = V387303 + 1. assign V309031 = V864920. assign V539529 = V500924. assign V247218 = V488440 + 1. assign V859895 = V257859 - 1. assign V184612 = V334945 - 1. assign V691247 = V387303 - 1. assign V087578 = V017174 - 1. assign V810030 = V939883. assign V699730 = V815232 + 1. assign V764073 = V096248 + 1. assign V190603 = V773439 - 1. assign V038142 = V016280. assign V817980 = V214967 + 1. assign V613696 = V474074 - 1. assign V108878 = V130150. assign V478600 = V965882 + 1. assign V822828 = V847204. assign V715613 = V847204 - 1. assign V593867 = V873050 + 1. assign V880129 = V699548. assign V052631 = V085297. assign V769518 = V480674 + 1. assign V855631 = V096248 - 1. assign V667229 = V087578 - 1. assign V014546 = V375122 + 1. assign V981688 = V500924 + 1. assign V872868 = V387303 + 1. assign V677188 = V939883 - 1. assign V727799 = V814515 + 1. assign V912092 = V017174 + 1. assign V950296 = V518231 + 1. assign V237111 = V146017 - 1. assign V048213 = V593867. assign V765199 = V340936 + 1. assign V798216 = V667229. assign V194517 = V445024 - 1. assign V206412 = V130150. assign V760059 = V375122 - 1. assign V340936 = V474074. assign V895289 = V241841 - 1. assign V956227 = V023623 + 1. assign V443406 = V677188 + 1. assign V075397 = V872868 + 1. assign V619989 = V382280 + 1. assign V625306 = V283331. assign V474074 = V873050 - 1. assign V556541 = V131753 + 1. assign V500924 = V939883. assign V497176 = V039516 - 1. assign V915370 = V765199 + 1. assign V039516 = V674553 - 1. assign V789261 = V038142. assign V595988 = V130150 - 1. assign V138468 = V562293 + 1. assign V854347 = V677188 + 1. assign V815232 = V334945. assign V334945 = V017174 + 1. assign V013987 = V871555. assign V635310 = V023623 + 1. assign V283331 = V912092 - 1. assign V674553 = V017174 - 1. assign V485753 = V017174 - 1. assign V211719 = V854347 + 1. assign V975763 = V298324 - 1. assign V058322 = V108878 + 1. assign V873050 = V939883. assign V672507 = V661981 - 1. assign V035713 = V577588 + 1. assign V110741 = V048213 + 1. assign V758932 = V613696 + 1. assign V716441 = V987423. assign V131753 = V500924 - 1. assign V096248 = V017174. assign V146017 = V334945 - 1. assign V814515 = V674553 - 1. assign V608691 = V110741 + 1. assign V130150 = V677188 - 1. assign V758240 = V674553 - 1. assign V562293 = V867819 - 1. assign V723830 = V257859 + 1. assign V480674 = V085465. assign V661981 = V334945 + 1. assign V404301 = V048213. assign V444692 = V965882. assign V694409 = V810030 + 1. assign V596410 = V445024 - 1. assign V842383 = V965882. assign V756097 = V500924. assign V873933 = V822828. assign V062178 = V315254 + 1. assign V100468 = V131753 + 1. assign V610409 = V401697 + 1. assign V766844 = V711656 - 1. assign V776836 = V298324 - 1. assign V375122 = V214967 + 1. assign V085465 = V387303 - 1. assign V445024 = V206412 + 1. assign V719551 = V443406 + 1. assign V241841 = V087578 + 1. assign V016280 = V872868 - 1. assign V076382 = V842383 - 1. assign V929053 = V346377 + 1. assign V917164 = V873050. assign V518231 = V765199 + 1. assign V690504 = V039516. assign V674641 = V519813 - 1. assign V939883 = V577588 - 1. assign V821550 = V672507 - 1. assign V742817 = V100468. assign V800788 = V859895. assign V496745 = V711656 - 1. assign V048194 = V315254 + 1. assign V449406 = V859895. assign V382280 = 8. assign V485543 = V535053 + 1. assign V635532 = V842383 + 1. assign V044545 = V108878 - 1. assign V401697 = V535053 + 1. assign V535053 = V131753. assign V552487 = V058951 - 1. assign V991671 = V939883 + 1. assign V075525 = V798216. assign V713646 = V315254 + 1. assign V699548 = V519813. assign V619279 = V340936 - 1. assign V716314 = V519813 - 1. assign V379321 = V699548 + 1. assign V847318 = V674553. assign V214967 = V206412 - 1. assign V346377 = V842383 - 1. assign V522612 = V490653 + 1. assign V691120 = V981688. assign V773439 = V991671 + 1. assign V127515 = V864920 - 1. assign V669835 = V756097. assign V342991 = V241841 - 1. assign V965882 = V699548 + 1. assign V888236 = V401697 - 1. assign V257859 = V873050 - 1. assign V987423 = V315254 - 1. assign V672354 = V842383 + 1. assign V387303 = V017174 + 1. assign V267160 = V859895. assign V654060 = V991671 + 1. assign V864920 = V257859 + 1. assign V779801 = V810030 + 1. assign V058951 = V661981 - 1. assign V772305 = V518231.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V519813 = V087578 - 1. assign V847204 = V315254 - 1. assign V871555 = V699548 - 1. assign V023623 = V500924 + 1. assign V711656 = V387303 - 1. assign V450292 = V814515 + 1. assign V674016 = V766844. assign V585309 = V075397. assign V621427 = V450292 + 1. assign V843897 = V864920. assign V226156 = V847318. assign V818625 = V340936 - 1. assign V070195 = V873050 - 1. assign V315254 = V096248 + 1. assign V867819 = V130150. assign V329517 = V912092 - 1. assign V054951 = V309031 + 1. assign V969833 = V562293 + 1. assign V085297 = V854347. assign V490653 = V677188 + 1. assign V488440 = V672507. assign V422073 = V699730 - 1. assign V298324 = V562293 + 1. assign V577588 = V387303 + 1. assign V309031 = V864920. assign V539529 = V500924. assign V247218 = V488440 + 1. assign V859895 = V257859 - 1. assign V184612 = V334945 - 1. assign V691247 = V387303 - 1. assign V087578 = V017174 - 1. assign V810030 = V939883. assign V699730 = V815232 + 1. assign V764073 = V096248 + 1. assign V190603 = V773439 - 1. assign V038142 = V016280. assign V817980 = V214967 + 1. assign V613696 = V474074 - 1. assign V108878 = V130150. assign V478600 = V965882 + 1. assign V822828 = V847204. assign V715613 = V847204 - 1. assign V593867 = V873050 + 1. assign V880129 = V699548. assign V052631 = V085297. assign V769518 = V480674 + 1. assign V855631 = V096248 - 1. assign V667229 = V087578 - 1. assign V014546 = V375122 + 1. assign V981688 = V500924 + 1. assign V872868 = V387303 + 1. assign V677188 = V939883 - 1. assign V727799 = V814515 + 1. assign V912092 = V017174 + 1. assign V950296 = V518231 + 1. assign V237111 = V146017 - 1. assign V048213 = V593867. assign V765199 = V340936 + 1. assign V798216 = V667229. assign V194517 = V445024 - 1. assign V206412 = V130150. assign V760059 = V375122 - 1. assign V340936 = V474074. assign V895289 = V241841 - 1. assign V956227 = V023623 + 1. assign V443406 = V677188 + 1. assign V075397 = V872868 + 1. assign V619989 = V382280 + 1. assign V625306 = V283331. assign V474074 = V873050 - 1. assign V556541 = V131753 + 1. assign V500924 = V939883. assign V497176 = V039516 - 1. assign V915370 = V765199 + 1. assign V039516 = V674553 - 1. assign V789261 = V038142. assign V595988 = V130150 - 1. assign V138468 = V562293 + 1. assign V854347 = V677188 + 1. assign V815232 = V334945. assign V334945 = V017174 + 1. assign V013987 = V871555. assign V635310 = V023623 + 1. assign V283331 = V912092 - 1. assign V674553 = V017174 - 1. assign V485753 = V017174 - 1. assign V211719 = V854347 + 1. assign V975763 = V298324 - 1. assign V058322 = V108878 + 1. assign V873050 = V939883. assign V672507 = V661981 - 1. assign V035713 = V577588 + 1. assign V110741 = V048213 + 1. assign V758932 = V613696 + 1. assign V716441 = V987423. assign V131753 = V500924 - 1. assign V096248 = V017174. assign V146017 = V334945 - 1. assign V814515 = V674553 - 1. assign V608691 = V110741 + 1. assign V130150 = V677188 - 1. assign V758240 = V674553 - 1. assign V562293 = V867819 - 1. assign V723830 = V257859 + 1. assign V480674 = V085465. assign V661981 = V334945 + 1. assign V404301 = V048213. assign V444692 = V965882. assign V694409 = V810030 + 1. assign V596410 = V445024 - 1. assign V842383 = V965882. assign V756097 = V500924. assign V873933 = V822828. assign V062178 = V315254 + 1. assign V100468 = V131753 + 1. assign V610409 = V401697 + 1. assign V766844 = V711656 - 1. assign V776836 = V298324 - 1. assign V375122 = V214967 + 1. assign V085465 = V387303 - 1. assign V445024 = V206412 + 1. assign V719551 = V443406 + 1. assign V241841 = V087578 + 1. assign V016280 = V872868 - 1. assign V076382 = V842383 - 1. assign V929053 = V346377 + 1. assign V917164 = V873050. assign V518231 = V765199 + 1. assign V690504 = V039516. assign V674641 = V519813 - 1. assign V939883 = V577588 - 1. assign V821550 = V672507 - 1. assign V742817 = V100468. assign V800788 = V859895. assign V496745 = V711656 - 1. assign V048194 = V315254 + 1. assign V449406 = V859895. assign V382280 = 8. assign V485543 = V535053 + 1. assign V635532 = V842383 + 1. assign V044545 = V108878 - 1. assign V401697 = V535053 + 1. assign V535053 = V131753. assign V552487 = V058951 - 1. assign V991671 = V939883 + 1. assign V075525 = V798216. assign V713646 = V315254 + 1. assign V699548 = V519813. assign V619279 = V340936 - 1. assign V716314 = V519813 - 1. assign V379321 = V699548 + 1. assign V847318 = V674553. assign V214967 = V206412 - 1. assign V346377 = V842383 - 1. assign V522612 = V490653 + 1. assign V691120 = V981688. assign V773439 = V991671 + 1. assign V127515 = V864920 - 1. assign V669835 = V756097. assign V342991 = V241841 - 1. assign V965882 = V699548 + 1. assign V888236 = V401697 - 1. assign V257859 = V873050 - 1. assign V987423 = V315254 - 1. assign V672354 = V842383 + 1. assign V387303 = V017174 + 1. assign V267160 = V859895. assign V654060 = V991671 + 1. assign V864920 = V257859 + 1. assign V779801 = V810030 + 1. assign V058951 = V661981 - 1. assign V772305 = V518231.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV382280 = 8;\n\nFrom these direct assignment(s), we have: \nV619989 = V382280 + 1 = 8 + 1 =9;\nNo other variables can be derived from V619989;\nNo other variables can be derived from V382280;\n\nNow we have done all the calculations. Derived variables are:\nV382280 = 8;\nV619989 = 9;\n\nNow we have finished this problem. ANSWER:\nV619989\n", "role": "assistant" } ]

[ "V217237" ]

[ { "content": "<context>\nassign V262872 = V541684 + 1. assign V040656 = V006827. assign V709196 = V541684. assign V786561 = V564804. assign V371146 = V845454 + 1. assign V381185 = V339251 + 1. assign V427444 = V632083 + 1. assign V307266 = V592454. assign V099042 = V541684 - 1. assign V359788 = V747947. assign V530145 = V099042 - 1. assign V390409 = V843162 - 1. assign V658470 = V099734. assign V849260 = V265033 + 1. assign V669719 = V047186 + 1. assign V196160 = V491976. assign V639886 = V505159 - 1. assign V986503 = V526473 + 1. assign V841038 = V261452. assign V680005 = V843854 + 1. assign V576852 = V583610 - 1. assign V592454 = V102945 - 1. assign V799765 = V344055 + 1. assign V888946 = V290541 - 1. assign V136518 = V595806 - 1. assign V445614 = V883538. assign V179136 = V001543 - 1. assign V290423 = V381185 + 1. assign V274643 = V183891 + 1. assign V541537 = V564804. assign V265033 = V747947. assign V343324 = V554036. assign V548443 = V790934. assign V883438 = V796521 + 1. assign V554036 = V833542 + 1. assign V576293 = V602450. assign V936230 = V411148. assign V149863 = V550154 + 1. assign V564804 = V099734 - 1. assign V790934 = V076554 - 1. assign V856485 = V669719 + 1. assign V264021 = V262872 + 1. assign V283841 = V669719 + 1. assign V644585 = V224626 + 1. assign V833542 = V550154 - 1. assign V239982 = V845454. assign V843162 = V665218. assign V709712 = V976962 + 1. assign V843854 = V791608 + 1. assign V047186 = V099042. assign V373105 = V179233 - 1. assign V564209 = V548443. assign V290541 = V796521 - 1. assign V775026 = V076554 - 1. assign V829825 = V786561 + 1. assign V918671 = V888946. assign V217237 = 4. assign V272449 = V099042. assign V595584 = V992765 - 1. assign V150814 = V592536. assign V791608 = V840604 + 1. assign V456497 = V099042 - 1. assign V224626 = V041655 + 1. assign V882828 = V859482 + 1. assign V912461 = V491976 + 1. assign V526473 = V966955. assign V500764 = V786561 - 1. assign V640017 = V671329. assign V314465 = V592536 - 1. assign V592536 = V224530 - 1. assign V671329 = V339251 - 1. assign V949018 = V856485. assign V079501 = V845454. assign V180301 = V828391 - 1. assign V179233 = V099734 - 1. assign V505159 = V200837. assign V102945 = V290423 - 1. assign V729091 = V179233 - 1. assign V251322 = V658470 - 1. assign V782846 = V758646. assign V541684 = V099734. assign V791546 = V183891 + 1. assign V859482 = V966955 - 1. assign V200837 = V152035. assign V219580 = V076554 - 1. assign V760173 = V747947. assign V224530 = V179233 - 1. assign V970281 = V144648. assign V527414 = V006827 - 1. assign V076554 = V152035 + 1. assign V203075 = V775026. assign V919575 = V789855 - 1. assign V015268 = V840604 - 1. assign V160736 = V949018. assign V840604 = V966955 - 1. assign V883103 = V526473 - 1. assign V278145 = V099734 + 1. assign V602450 = V099734 + 1. assign V804915 = V500764. assign V976962 = V144648 + 1. assign V795588 = V541684 + 1. assign V896863 = V595584. assign V395204 = V546726 + 1. assign V737735 = V228395 + 1. assign V583610 = V264021 - 1. assign V746940 = V265033 + 1. assign V739817 = V828391 - 1. assign V665218 = V179233 + 1. assign V869671 = V500764 + 1. assign V605097 = V200837 - 1. assign V668034 = V574144 - 1. assign V118254 = V760173. assign V809819 = V200837 - 1. assign V595806 = V541684 - 1. assign V886508 = V099734. assign V571602 = V992765 + 1. assign V067275 = V564209 + 1. assign V470602 = V217237 + 1. assign V992765 = V845454. assign V926000 = V576293 - 1. assign V339251 = V373105 + 1. assign V755331 = V001543. assign V550154 = V283841 + 1. assign V122559 = V665218 - 1. assign V883538 = V602450 + 1. assign V344055 = V966955. assign V632050 = V541684. assign V001543 = V283841 - 1. assign V183891 = V602450 + 1. assign V557077 = V786561 - 1. assign V749442 = V795588. assign V228395 = V339251 + 1. assign V141783 = V833542 - 1. assign V845454 = V344055. assign V918042 = V843854 - 1. assign V041655 = V658470 - 1. assign V144648 = V859482 + 1. assign V275272 = V491976 + 1. assign V117539 = V739817 + 1. assign V907365 = V371146. assign V750827 = V592454 - 1. assign V411148 = V200837 - 1. assign V261452 = V665218 - 1. assign V537114 = V595584. assign V334179 = V200837 + 1. assign V491976 = V658470. assign V828391 = V265033 + 1. assign V546726 = V505159 - 1. assign V966955 = V541684 + 1. assign V839378 = V272449. assign V758646 = V709196 - 1. assign V747947 = V541684 + 1. assign V648653 = V144648. assign V719094 = V799765 + 1. assign V617237 = V737735. assign V358969 = V786561 - 1. assign V632083 = V976962 + 1. assign V789855 = V262872. assign V266507 = V047186 - 1. assign V152035 = V099734 + 1. assign V574144 = V747947. assign V090588 = V283841. assign V796521 = V196160 + 1. assign V565276 = V775923 - 1. assign V006827 = V445614 - 1. assign V351461 = V592536 - 1. assign V775923 = V919575 + 1. assign V678556 = V541684 - 1. assign V114765 = V829825 - 1. assign V797525 = V574144 - 1. assign V700119 = V602450 + 1. assign V700885 = V700119 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V262872 = V541684 + 1. assign V040656 = V006827. assign V709196 = V541684. assign V786561 = V564804. assign V371146 = V845454 + 1. assign V381185 = V339251 + 1. assign V427444 = V632083 + 1. assign V307266 = V592454. assign V099042 = V541684 - 1. assign V359788 = V747947. assign V530145 = V099042 - 1. assign V390409 = V843162 - 1. assign V658470 = V099734. assign V849260 = V265033 + 1. assign V669719 = V047186 + 1. assign V196160 = V491976. assign V639886 = V505159 - 1. assign V986503 = V526473 + 1. assign V841038 = V261452. assign V680005 = V843854 + 1. assign V576852 = V583610 - 1. assign V592454 = V102945 - 1. assign V799765 = V344055 + 1. assign V888946 = V290541 - 1. assign V136518 = V595806 - 1. assign V445614 = V883538. assign V179136 = V001543 - 1. assign V290423 = V381185 + 1. assign V274643 = V183891 + 1. assign V541537 = V564804. assign V265033 = V747947. assign V343324 = V554036. assign V548443 = V790934. assign V883438 = V796521 + 1. assign V554036 = V833542 + 1. assign V576293 = V602450. assign V936230 = V411148. assign V149863 = V550154 + 1. assign V564804 = V099734 - 1. assign V790934 = V076554 - 1. assign V856485 = V669719 + 1. assign V264021 = V262872 + 1. assign V283841 = V669719 + 1. assign V644585 = V224626 + 1. assign V833542 = V550154 - 1. assign V239982 = V845454. assign V843162 = V665218. assign V709712 = V976962 + 1. assign V843854 = V791608 + 1. assign V047186 = V099042. assign V373105 = V179233 - 1. assign V564209 = V548443. assign V290541 = V796521 - 1. assign V775026 = V076554 - 1. assign V829825 = V786561 + 1. assign V918671 = V888946. assign V217237 = 4. assign V272449 = V099042. assign V595584 = V992765 - 1. assign V150814 = V592536. assign V791608 = V840604 + 1. assign V456497 = V099042 - 1. assign V224626 = V041655 + 1. assign V882828 = V859482 + 1. assign V912461 = V491976 + 1. assign V526473 = V966955. assign V500764 = V786561 - 1. assign V640017 = V671329. assign V314465 = V592536 - 1. assign V592536 = V224530 - 1. assign V671329 = V339251 - 1. assign V949018 = V856485. assign V079501 = V845454. assign V180301 = V828391 - 1. assign V179233 = V099734 - 1. assign V505159 = V200837. assign V102945 = V290423 - 1. assign V729091 = V179233 - 1. assign V251322 = V658470 - 1. assign V782846 = V758646. assign V541684 = V099734. assign V791546 = V183891 + 1. assign V859482 = V966955 - 1. assign V200837 = V152035. assign V219580 = V076554 - 1. assign V760173 = V747947. assign V224530 = V179233 - 1. assign V970281 = V144648. assign V527414 = V006827 - 1. assign V076554 = V152035 + 1. assign V203075 = V775026. assign V919575 = V789855 - 1. assign V015268 = V840604 - 1. assign V160736 = V949018. assign V840604 = V966955 - 1. assign V883103 = V526473 - 1. assign V278145 = V099734 + 1. assign V602450 = V099734 + 1. assign V804915 = V500764. assign V976962 = V144648 + 1. assign V795588 = V541684 + 1. assign V896863 = V595584. assign V395204 = V546726 + 1. assign V737735 = V228395 + 1. assign V583610 = V264021 - 1. assign V746940 = V265033 + 1. assign V739817 = V828391 - 1. assign V665218 = V179233 + 1. assign V869671 = V500764 + 1. assign V605097 = V200837 - 1. assign V668034 = V574144 - 1. assign V118254 = V760173. assign V809819 = V200837 - 1. assign V595806 = V541684 - 1. assign V886508 = V099734. assign V571602 = V992765 + 1. assign V067275 = V564209 + 1. assign V470602 = V217237 + 1. assign V992765 = V845454. assign V926000 = V576293 - 1. assign V339251 = V373105 + 1. assign V755331 = V001543. assign V550154 = V283841 + 1. assign V122559 = V665218 - 1. assign V883538 = V602450 + 1. assign V344055 = V966955. assign V632050 = V541684. assign V001543 = V283841 - 1. assign V183891 = V602450 + 1. assign V557077 = V786561 - 1. assign V749442 = V795588. assign V228395 = V339251 + 1. assign V141783 = V833542 - 1. assign V845454 = V344055. assign V918042 = V843854 - 1. assign V041655 = V658470 - 1. assign V144648 = V859482 + 1. assign V275272 = V491976 + 1. assign V117539 = V739817 + 1. assign V907365 = V371146. assign V750827 = V592454 - 1. assign V411148 = V200837 - 1. assign V261452 = V665218 - 1. assign V537114 = V595584. assign V334179 = V200837 + 1. assign V491976 = V658470. assign V828391 = V265033 + 1. assign V546726 = V505159 - 1. assign V966955 = V541684 + 1. assign V839378 = V272449. assign V758646 = V709196 - 1. assign V747947 = V541684 + 1. assign V648653 = V144648. assign V719094 = V799765 + 1. assign V617237 = V737735. assign V358969 = V786561 - 1. assign V632083 = V976962 + 1. assign V789855 = V262872. assign V266507 = V047186 - 1. assign V152035 = V099734 + 1. assign V574144 = V747947. assign V090588 = V283841. assign V796521 = V196160 + 1. assign V565276 = V775923 - 1. assign V006827 = V445614 - 1. assign V351461 = V592536 - 1. assign V775923 = V919575 + 1. assign V678556 = V541684 - 1. assign V114765 = V829825 - 1. assign V797525 = V574144 - 1. assign V700119 = V602450 + 1. assign V700885 = V700119 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV217237 = 4;\n\nFrom these direct assignment(s), we have: \nV470602 = V217237 + 1 = 4 + 1 =5;\nNo other variables can be derived from V470602;\nNo other variables can be derived from V217237;\n\nNow we have done all the calculations. Derived variables are:\nV217237 = 4;\nV470602 = 5;\n\nNow we have finished this problem. ANSWER:\nV217237\n", "role": "assistant" } ]

[ "V899605", "V085666" ]

[ { "content": "<context>\nassign V023293 = V215752 + 1. assign V205755 = V563500. assign V308616 = V456925. assign V563500 = V353173 - 1. assign V932231 = V838067 - 1. assign V441833 = V256930 - 1. assign V499561 = V764289 + 1. assign V894859 = V617555 + 1. assign V600283 = V654393 + 1. assign V680879 = V880148 + 1. assign V567107 = V112559 - 1. assign V515837 = V478226 - 1. assign V711986 = V215752 - 1. assign V206491 = V026366. assign V281249 = V162730. assign V771537 = V797230. assign V617555 = V975907 - 1. assign V399394 = V205755 - 1. assign V878084 = V821018 + 1. assign V594438 = V296364. assign V324220 = V589458 - 1. assign V296364 = V563638 - 1. assign V486245 = V112559 - 1. assign V514664 = V719617. assign V956748 = V112559. assign V556494 = V928696 + 1. assign V672953 = V205227 + 1. assign V489702 = V563638. assign V979283 = V672953. assign V162730 = V515837. assign V859884 = V811859 + 1. assign V353173 = V671338 - 1. assign V080071 = V478226 - 1. assign V910181 = V066600 + 1. assign V899605 = 9. assign V809938 = V919584 - 1. assign V259254 = V811859 + 1. assign V658075 = V827400 + 1. assign V600937 = V712024 + 1. assign V612944 = V686609. assign V114662 = V671338. assign V070981 = V023293 + 1. assign V406864 = V975907 - 1. assign V072190 = V215752 + 1. assign V962367 = V389156. assign V393710 = V112559 - 1. assign V071105 = V456925 + 1. assign V831403 = V671338 - 1. assign V882971 = V023293 - 1. assign V083539 = V622088 + 1. assign V087481 = V186737. assign V822109 = V771537. assign V969259 = V831403 - 1. assign V563638 = V478226 - 1. assign V811859 = V824581 - 1. assign V647785 = V084234 - 1. assign V477233 = V932231. assign V219953 = V918021 - 1. assign V859354 = V369935. assign V408994 = V672626. assign V259879 = V456925 + 1. assign V194027 = V112559 + 1. assign V538789 = V194027 + 1. assign V719617 = V880148 + 1. assign V432149 = V918021 + 1. assign V128427 = V918021 + 1. assign V809612 = V932231 + 1. assign V880454 = V496332 - 1. assign V481513 = V712024 + 1. assign V898399 = V660190. assign V614450 = V296364. assign V255183 = V686609 - 1. assign V827400 = V822109 - 1. assign V285099 = V353173. assign V015019 = V162730. assign V637557 = V696692 + 1. assign V803711 = V827400 + 1. assign V672626 = V389156 + 1. assign V688105 = V205227 + 1. assign V723961 = V880148. assign V135725 = V811859 + 1. assign V650997 = V215752 + 1. assign V066600 = V654393. assign V725072 = V969259. assign V112559 = V880148 - 1. assign V026366 = V754261. assign V131606 = V865259. assign V503094 = V515837 - 1. assign V759374 = V894859 - 1. assign V928532 = V353173 + 1. assign V671338 = V194027. assign V909906 = V660190 - 1. assign V951982 = V672626. assign V253015 = V281573 + 1. assign V447792 = V671338. assign V360854 = V324220. assign V780026 = V285099. assign V824581 = V162730. assign V685081 = V567107. assign V455599 = V696692 - 1. assign V574796 = V910181 + 1. assign V660190 = V277652 - 1. assign V686609 = V880454 - 1. assign V508408 = V489702 + 1. assign V372881 = V975907. assign V069781 = V928696. assign V084234 = V928696 + 1. assign V150448 = V186737 + 1. assign V667712 = V503094 + 1. assign V085666 = V899605. assign V764289 = V563500 + 1. assign V565107 = V780026 - 1. assign V306104 = V880454. assign V215752 = V671338 - 1. assign V682711 = V671338 - 1. assign V456925 = V602577 + 1. assign V128623 = V447792 + 1. assign V400688 = V589458. assign V522885 = V719617 + 1. assign V764389 = V112559 + 1. assign V416107 = V285099 + 1. assign V376858 = V840541 + 1. assign V304414 = V207792 + 1. assign V602577 = V865259. assign V754261 = V838067 + 1. assign V344929 = V416107 - 1. assign V782640 = V150448 + 1. assign V436903 = V439171 + 1. assign V757721 = V567107 - 1. assign V556369 = V087481 - 1. assign V186034 = V600283 - 1. assign V207792 = V650997. assign V389156 = V712024 + 1. assign V475005 = V938524. assign V369935 = V393792 + 1. assign V622088 = V456925 - 1. assign V965264 = V686609 - 1. assign V918021 = V671338 + 1. assign V975907 = V194027 + 1. assign V256930 = V865259 - 1. assign V838067 = V186737 - 1. assign V182610 = V186737. assign V372102 = V205227 - 1. assign V439171 = V521160. assign V186737 = V918021. assign V928696 = V277652. assign V419253 = V112559. assign V824317 = V723961. assign V393792 = V112559. assign V865259 = V671338 + 1. assign V589458 = V671338. assign V712024 = V114662 - 1. assign V205227 = V821018. assign V821018 = V486245. assign V245874 = V182610. assign V192340 = V932231 - 1. assign V521160 = V563638 - 1. assign V412690 = V928696. assign V654393 = V918021 - 1. assign V496332 = V719617 - 1. assign V277652 = V112559 + 1. assign V919584 = V087481. assign V696692 = V478226 + 1. assign V415045 = V918021 + 1. assign V580579 = V256930 - 1. assign V495910 = V696692 - 1. assign V840541 = V865259 + 1. assign V281573 = V865259. assign V880148 = V478226 + 1. assign V797230 = V712024 - 1. assign V938524 = V162730. assign V286026 = V660190 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V023293 = V215752 + 1. assign V205755 = V563500. assign V308616 = V456925. assign V563500 = V353173 - 1. assign V932231 = V838067 - 1. assign V441833 = V256930 - 1. assign V499561 = V764289 + 1. assign V894859 = V617555 + 1. assign V600283 = V654393 + 1. assign V680879 = V880148 + 1. assign V567107 = V112559 - 1. assign V515837 = V478226 - 1. assign V711986 = V215752 - 1. assign V206491 = V026366. assign V281249 = V162730. assign V771537 = V797230. assign V617555 = V975907 - 1. assign V399394 = V205755 - 1. assign V878084 = V821018 + 1. assign V594438 = V296364. assign V324220 = V589458 - 1. assign V296364 = V563638 - 1. assign V486245 = V112559 - 1. assign V514664 = V719617. assign V956748 = V112559. assign V556494 = V928696 + 1. assign V672953 = V205227 + 1. assign V489702 = V563638. assign V979283 = V672953. assign V162730 = V515837. assign V859884 = V811859 + 1. assign V353173 = V671338 - 1. assign V080071 = V478226 - 1. assign V910181 = V066600 + 1. assign V899605 = 9. assign V809938 = V919584 - 1. assign V259254 = V811859 + 1. assign V658075 = V827400 + 1. assign V600937 = V712024 + 1. assign V612944 = V686609. assign V114662 = V671338. assign V070981 = V023293 + 1. assign V406864 = V975907 - 1. assign V072190 = V215752 + 1. assign V962367 = V389156. assign V393710 = V112559 - 1. assign V071105 = V456925 + 1. assign V831403 = V671338 - 1. assign V882971 = V023293 - 1. assign V083539 = V622088 + 1. assign V087481 = V186737. assign V822109 = V771537. assign V969259 = V831403 - 1. assign V563638 = V478226 - 1. assign V811859 = V824581 - 1. assign V647785 = V084234 - 1. assign V477233 = V932231. assign V219953 = V918021 - 1. assign V859354 = V369935. assign V408994 = V672626. assign V259879 = V456925 + 1. assign V194027 = V112559 + 1. assign V538789 = V194027 + 1. assign V719617 = V880148 + 1. assign V432149 = V918021 + 1. assign V128427 = V918021 + 1. assign V809612 = V932231 + 1. assign V880454 = V496332 - 1. assign V481513 = V712024 + 1. assign V898399 = V660190. assign V614450 = V296364. assign V255183 = V686609 - 1. assign V827400 = V822109 - 1. assign V285099 = V353173. assign V015019 = V162730. assign V637557 = V696692 + 1. assign V803711 = V827400 + 1. assign V672626 = V389156 + 1. assign V688105 = V205227 + 1. assign V723961 = V880148. assign V135725 = V811859 + 1. assign V650997 = V215752 + 1. assign V066600 = V654393. assign V725072 = V969259. assign V112559 = V880148 - 1. assign V026366 = V754261. assign V131606 = V865259. assign V503094 = V515837 - 1. assign V759374 = V894859 - 1. assign V928532 = V353173 + 1. assign V671338 = V194027. assign V909906 = V660190 - 1. assign V951982 = V672626. assign V253015 = V281573 + 1. assign V447792 = V671338. assign V360854 = V324220. assign V780026 = V285099. assign V824581 = V162730. assign V685081 = V567107. assign V455599 = V696692 - 1. assign V574796 = V910181 + 1. assign V660190 = V277652 - 1. assign V686609 = V880454 - 1. assign V508408 = V489702 + 1. assign V372881 = V975907. assign V069781 = V928696. assign V084234 = V928696 + 1. assign V150448 = V186737 + 1. assign V667712 = V503094 + 1. assign V085666 = V899605. assign V764289 = V563500 + 1. assign V565107 = V780026 - 1. assign V306104 = V880454. assign V215752 = V671338 - 1. assign V682711 = V671338 - 1. assign V456925 = V602577 + 1. assign V128623 = V447792 + 1. assign V400688 = V589458. assign V522885 = V719617 + 1. assign V764389 = V112559 + 1. assign V416107 = V285099 + 1. assign V376858 = V840541 + 1. assign V304414 = V207792 + 1. assign V602577 = V865259. assign V754261 = V838067 + 1. assign V344929 = V416107 - 1. assign V782640 = V150448 + 1. assign V436903 = V439171 + 1. assign V757721 = V567107 - 1. assign V556369 = V087481 - 1. assign V186034 = V600283 - 1. assign V207792 = V650997. assign V389156 = V712024 + 1. assign V475005 = V938524. assign V369935 = V393792 + 1. assign V622088 = V456925 - 1. assign V965264 = V686609 - 1. assign V918021 = V671338 + 1. assign V975907 = V194027 + 1. assign V256930 = V865259 - 1. assign V838067 = V186737 - 1. assign V182610 = V186737. assign V372102 = V205227 - 1. assign V439171 = V521160. assign V186737 = V918021. assign V928696 = V277652. assign V419253 = V112559. assign V824317 = V723961. assign V393792 = V112559. assign V865259 = V671338 + 1. assign V589458 = V671338. assign V712024 = V114662 - 1. assign V205227 = V821018. assign V821018 = V486245. assign V245874 = V182610. assign V192340 = V932231 - 1. assign V521160 = V563638 - 1. assign V412690 = V928696. assign V654393 = V918021 - 1. assign V496332 = V719617 - 1. assign V277652 = V112559 + 1. assign V919584 = V087481. assign V696692 = V478226 + 1. assign V415045 = V918021 + 1. assign V580579 = V256930 - 1. assign V495910 = V696692 - 1. assign V840541 = V865259 + 1. assign V281573 = V865259. assign V880148 = V478226 + 1. assign V797230 = V712024 - 1. assign V938524 = V162730. assign V286026 = V660190 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV899605 = 9;\n\nFrom these direct assignment(s), we have: \nV085666 = V899605 = 9;\nNo other variables can be derived from V085666;\nNo other variables can be derived from V899605;\n\nNow we have done all the calculations. Derived variables are:\nV899605 = 9;\nV085666 = 9;\n\nNow we have finished this problem. ANSWER:\nV899605, V085666\n", "role": "assistant" } ]

[ "V282034" ]

[ { "content": "<context>\nassign V011314 = V236286. assign V426686 = V339498. assign V465290 = V170624 - 1. assign V290141 = V243334. assign V664171 = V339498 - 1. assign V750546 = V323028. assign V372592 = V385487 - 1. assign V323262 = V158421 - 1. assign V866886 = V701966. assign V709068 = V707302 - 1. assign V825407 = V756483 - 1. assign V339498 = V059677 - 1. assign V619356 = V816478. assign V996315 = V565337 + 1. assign V752354 = V866886. assign V565337 = V185606 - 1. assign V905677 = V170624 + 1. assign V519420 = V583276. assign V167293 = V962701. assign V877309 = V701966. assign V763866 = V483961 + 1. assign V282034 = 9. assign V081451 = V185606 + 1. assign V837611 = V257902. assign V133617 = V443061. assign V635537 = V531530. assign V227432 = V362500 - 1. assign V313994 = V625474. assign V003314 = V229411. assign V511390 = V169152. assign V280957 = V756483 - 1. assign V223626 = V236286 + 1. assign V946692 = V466690 - 1. assign V758096 = V866886 + 1. assign V999525 = V426686. assign V298106 = V059677 + 1. assign V929545 = V223626. assign V113252 = V519420. assign V186000 = V531530 - 1. assign V723616 = V223626. assign V286342 = V049612 + 1. assign V625474 = V886875 - 1. assign V757710 = V962701. assign V223101 = V426686. assign V092860 = V701839 + 1. assign V621707 = V339498 - 1. assign V108208 = V000978 - 1. assign V746907 = V049612 + 1. assign V005347 = V081451 - 1. assign V547055 = V280957 - 1. assign V707302 = V465290 + 1. assign V170624 = V962701. assign V583276 = V877309 - 1. assign V078579 = V861241 + 1. assign V302439 = V229411 + 1. assign V542972 = V922132 - 1. assign V055660 = V905677. assign V196814 = V184718. assign V236286 = V583276 - 1. assign V900101 = V701966 + 1. assign V000978 = V257902 - 1. assign V654567 = V413072. assign V847330 = V922132 + 1. assign V575454 = V003314. assign V636741 = V385487 + 1. assign V676936 = V167293 + 1. assign V742089 = V170624 + 1. assign V701839 = V429515. assign V510179 = V822513 - 1. assign V334192 = V433958 + 1. assign V602947 = V709068. assign V922132 = V357845. assign V685205 = V000978. assign V665914 = V756483 + 1. assign V204837 = V742089 + 1. assign V389628 = V877309 + 1. assign V184718 = V433958 + 1. assign V011025 = V706170 - 1. assign V677655 = V483961 - 1. assign V663097 = V614203 + 1. assign V310942 = V339498 + 1. assign V198649 = V186000. assign V357845 = V531530. assign V369407 = V000978. assign V937238 = V313994 + 1. assign V442837 = V944764 - 1. assign V185606 = V002447 + 1. assign V628193 = V867083 + 1. assign V202314 = V339498 + 1. assign V929571 = V236286. assign V874811 = V706170. assign V614203 = V170624 + 1. assign V867083 = V763866. assign V272352 = V665914 + 1. assign V589161 = V635537 - 1. assign V476517 = V323028 - 1. assign V165298 = V282034 + 1. assign V674087 = V856348 + 1. assign V691540 = V465290. assign V929752 = V426686. assign V575733 = V962701 + 1. assign V002447 = V962701 + 1. assign V248704 = V705222 - 1. assign V323028 = V286342. assign V466690 = V877309. assign V924929 = V399489 - 1. assign V257902 = V575733. assign V429515 = V877309 + 1. assign V326597 = V563209. assign V756483 = V202314. assign V851205 = V109428. assign V154002 = V426686. assign V822513 = V429515 - 1. assign V483961 = V433958 + 1. assign V371199 = V003314 - 1. assign V022068 = V614203. assign V399489 = V257902 - 1. assign V243334 = V248704 - 1. assign V102878 = V000978 - 1. assign V555290 = V049612 + 1. assign V962701 = V886875 - 1. assign V229411 = V385487 + 1. assign V856348 = V746907. assign V133658 = V466690 + 1. assign V158421 = V531530. assign V861241 = V281141. assign V968175 = V676936 - 1. assign V816478 = V002447 + 1. assign V413072 = V531530. assign V645450 = V227432. assign V385487 = V167293. assign V059677 = V886875 - 1. assign V923763 = V465290 + 1. assign V433958 = V705222 - 1. assign V705222 = V049612. assign V049612 = V339498 - 1. assign V056095 = V236286 + 1. assign V563209 = V170624. assign V443061 = V962701 + 1. assign V977413 = V000978 + 1. assign V683919 = V962701. assign V143706 = V092568. assign V795140 = V362500. assign V081918 = V707302. assign V701966 = V170624 - 1. assign V779952 = V677655 + 1. assign V449412 = V109428 + 1. assign V902543 = V059677 + 1. assign V355701 = V483961. assign V510474 = V236286 + 1. assign V944764 = V583276. assign V209873 = V049612 - 1. assign V706170 = V170624 - 1. assign V876041 = V707302 + 1. assign V531530 = V886875 - 1. assign V042858 = V877309. assign V014298 = V962701 + 1. assign V169152 = V701966. assign V007118 = V575733. assign V362500 = V049612. assign V098005 = V877309 - 1. assign V109428 = V158421. assign V281141 = V962701. assign V259802 = V923763 + 1. assign V772135 = V756483 + 1. assign V659827 = V236286 + 1. assign V190854 = V143706 + 1. assign V818283 = V614203 + 1. assign V581841 = V049612. assign V200231 = V143706 - 1. assign V092568 = V866886 + 1. assign V899480 = V113252 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V011314 = V236286. assign V426686 = V339498. assign V465290 = V170624 - 1. assign V290141 = V243334. assign V664171 = V339498 - 1. assign V750546 = V323028. assign V372592 = V385487 - 1. assign V323262 = V158421 - 1. assign V866886 = V701966. assign V709068 = V707302 - 1. assign V825407 = V756483 - 1. assign V339498 = V059677 - 1. assign V619356 = V816478. assign V996315 = V565337 + 1. assign V752354 = V866886. assign V565337 = V185606 - 1. assign V905677 = V170624 + 1. assign V519420 = V583276. assign V167293 = V962701. assign V877309 = V701966. assign V763866 = V483961 + 1. assign V282034 = 9. assign V081451 = V185606 + 1. assign V837611 = V257902. assign V133617 = V443061. assign V635537 = V531530. assign V227432 = V362500 - 1. assign V313994 = V625474. assign V003314 = V229411. assign V511390 = V169152. assign V280957 = V756483 - 1. assign V223626 = V236286 + 1. assign V946692 = V466690 - 1. assign V758096 = V866886 + 1. assign V999525 = V426686. assign V298106 = V059677 + 1. assign V929545 = V223626. assign V113252 = V519420. assign V186000 = V531530 - 1. assign V723616 = V223626. assign V286342 = V049612 + 1. assign V625474 = V886875 - 1. assign V757710 = V962701. assign V223101 = V426686. assign V092860 = V701839 + 1. assign V621707 = V339498 - 1. assign V108208 = V000978 - 1. assign V746907 = V049612 + 1. assign V005347 = V081451 - 1. assign V547055 = V280957 - 1. assign V707302 = V465290 + 1. assign V170624 = V962701. assign V583276 = V877309 - 1. assign V078579 = V861241 + 1. assign V302439 = V229411 + 1. assign V542972 = V922132 - 1. assign V055660 = V905677. assign V196814 = V184718. assign V236286 = V583276 - 1. assign V900101 = V701966 + 1. assign V000978 = V257902 - 1. assign V654567 = V413072. assign V847330 = V922132 + 1. assign V575454 = V003314. assign V636741 = V385487 + 1. assign V676936 = V167293 + 1. assign V742089 = V170624 + 1. assign V701839 = V429515. assign V510179 = V822513 - 1. assign V334192 = V433958 + 1. assign V602947 = V709068. assign V922132 = V357845. assign V685205 = V000978. assign V665914 = V756483 + 1. assign V204837 = V742089 + 1. assign V389628 = V877309 + 1. assign V184718 = V433958 + 1. assign V011025 = V706170 - 1. assign V677655 = V483961 - 1. assign V663097 = V614203 + 1. assign V310942 = V339498 + 1. assign V198649 = V186000. assign V357845 = V531530. assign V369407 = V000978. assign V937238 = V313994 + 1. assign V442837 = V944764 - 1. assign V185606 = V002447 + 1. assign V628193 = V867083 + 1. assign V202314 = V339498 + 1. assign V929571 = V236286. assign V874811 = V706170. assign V614203 = V170624 + 1. assign V867083 = V763866. assign V272352 = V665914 + 1. assign V589161 = V635537 - 1. assign V476517 = V323028 - 1. assign V165298 = V282034 + 1. assign V674087 = V856348 + 1. assign V691540 = V465290. assign V929752 = V426686. assign V575733 = V962701 + 1. assign V002447 = V962701 + 1. assign V248704 = V705222 - 1. assign V323028 = V286342. assign V466690 = V877309. assign V924929 = V399489 - 1. assign V257902 = V575733. assign V429515 = V877309 + 1. assign V326597 = V563209. assign V756483 = V202314. assign V851205 = V109428. assign V154002 = V426686. assign V822513 = V429515 - 1. assign V483961 = V433958 + 1. assign V371199 = V003314 - 1. assign V022068 = V614203. assign V399489 = V257902 - 1. assign V243334 = V248704 - 1. assign V102878 = V000978 - 1. assign V555290 = V049612 + 1. assign V962701 = V886875 - 1. assign V229411 = V385487 + 1. assign V856348 = V746907. assign V133658 = V466690 + 1. assign V158421 = V531530. assign V861241 = V281141. assign V968175 = V676936 - 1. assign V816478 = V002447 + 1. assign V413072 = V531530. assign V645450 = V227432. assign V385487 = V167293. assign V059677 = V886875 - 1. assign V923763 = V465290 + 1. assign V433958 = V705222 - 1. assign V705222 = V049612. assign V049612 = V339498 - 1. assign V056095 = V236286 + 1. assign V563209 = V170624. assign V443061 = V962701 + 1. assign V977413 = V000978 + 1. assign V683919 = V962701. assign V143706 = V092568. assign V795140 = V362500. assign V081918 = V707302. assign V701966 = V170624 - 1. assign V779952 = V677655 + 1. assign V449412 = V109428 + 1. assign V902543 = V059677 + 1. assign V355701 = V483961. assign V510474 = V236286 + 1. assign V944764 = V583276. assign V209873 = V049612 - 1. assign V706170 = V170624 - 1. assign V876041 = V707302 + 1. assign V531530 = V886875 - 1. assign V042858 = V877309. assign V014298 = V962701 + 1. assign V169152 = V701966. assign V007118 = V575733. assign V362500 = V049612. assign V098005 = V877309 - 1. assign V109428 = V158421. assign V281141 = V962701. assign V259802 = V923763 + 1. assign V772135 = V756483 + 1. assign V659827 = V236286 + 1. assign V190854 = V143706 + 1. assign V818283 = V614203 + 1. assign V581841 = V049612. assign V200231 = V143706 - 1. assign V092568 = V866886 + 1. assign V899480 = V113252 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV282034 = 9;\n\nFrom these direct assignment(s), we have: \nV165298 = V282034 + 1 = 9 + 1 =10;\nNo other variables can be derived from V165298;\nNo other variables can be derived from V282034;\n\nNow we have done all the calculations. Derived variables are:\nV282034 = 9;\nV165298 = 10;\n\nNow we have finished this problem. ANSWER:\nV282034\n", "role": "assistant" } ]

[ "V838175" ]

[ { "content": "<context>\nassign V638308 = V072696. assign V999292 = V864741. assign V030121 = V864555. assign V095056 = V796656. assign V316869 = V982765 - 1. assign V819761 = V575427 - 1. assign V595940 = V315850 + 1. assign V562218 = V962875 + 1. assign V657690 = V592456 + 1. assign V255360 = V059180. assign V514928 = V056904 + 1. assign V616953 = V947371. assign V532471 = V215991. assign V186368 = V510469. assign V510469 = V174628 - 1. assign V242665 = V796656 + 1. assign V280765 = V774320 + 1. assign V083621 = V752273 + 1. assign V147092 = V316991 + 1. assign V668196 = V962875 - 1. assign V442601 = V935260 + 1. assign V752273 = V793416. assign V789116 = V244547 - 1. assign V935260 = V919381 - 1. assign V174628 = V140691. assign V215991 = V691894 + 1. assign V589492 = V592456 - 1. assign V156961 = 5. assign V774320 = V424700 + 1. assign V316991 = V935260. assign V758086 = V875697. assign V691894 = V062273 + 1. assign V978304 = V363540 - 1. assign V793416 = V141829 + 1. assign V962875 = V034657 - 1. assign V960236 = V218104 - 1. assign V854791 = V059180 + 1. assign V141829 = V429975 - 1. assign V859188 = V062273 - 1. assign V581748 = V174628. assign V854755 = V274551. assign V458042 = V274551. assign V809966 = V935260 - 1. assign V449497 = V305268. assign V617537 = V962875 + 1. assign V507082 = V072696 - 1. assign V424700 = V429975 + 1. assign V737385 = V037205. assign V140691 = V152866 + 1. assign V329915 = V363540. assign V796656 = V864555 - 1. assign V472833 = V919381 + 1. assign V898824 = V429975 + 1. assign V691352 = V175959. assign V037205 = V595940 - 1. assign V605605 = V797065. assign V160819 = V449497 + 1. assign V989868 = V255360. assign V076374 = V982765. assign V350798 = V982765. assign V415678 = V115826 - 1. assign V656952 = V315850 + 1. assign V491561 = V978304 - 1. assign V212249 = V904182. assign V904182 = V429975 - 1. assign V567060 = V387740. assign V563843 = V898824 - 1. assign V285663 = V415678 - 1. assign V171783 = V212249 - 1. assign V832009 = V244547 + 1. assign V125193 = V898824 + 1. assign V675483 = V424700 + 1. assign V562850 = V029563. assign V152866 = V864555. assign V209240 = V429975. assign V609824 = V953792. assign V890891 = V030500 + 1. assign V366840 = V415678 + 1. assign V875697 = V305268. assign V623295 = V691894 + 1. assign V387740 = V140691 + 1. assign V947371 = V316991. assign V436636 = V424700. assign V440215 = V623295 + 1. assign V218104 = V563843. assign V757157 = V375574. assign V305268 = V898824. assign V864741 = V148889 + 1. assign V724868 = V363540 - 1. assign V911276 = V609824. assign V759901 = V059180. assign V274551 = V774320 - 1. assign V864833 = V503984. assign V825145 = V864741 - 1. assign V992855 = V924954 - 1. assign V953792 = V141829 + 1. assign V533999 = V809966. assign V995116 = V120693 - 1. assign V328291 = V006560 + 1. assign V592456 = V904182 + 1. assign V764328 = V935260 + 1. assign V924954 = V436636. assign V034657 = V175959 - 1. assign V120693 = V575427 + 1. assign V797065 = V854791 + 1. assign V030500 = V059180. assign V026210 = V945047 + 1. assign V256242 = V752273. assign V539071 = V030121. assign V675698 = V363540 - 1. assign V991232 = V793416 - 1. assign V598252 = V562218 + 1. assign V072696 = V793416 - 1. assign V291815 = V120693 - 1. assign V006560 = V285663. assign V059180 = V140691 - 1. assign V029563 = V141829. assign V480533 = V615416 + 1. assign V503984 = V449497 - 1. assign V954225 = V072696. assign V575427 = V875697. assign V108653 = V285663 + 1. assign V006642 = V115826. assign V154655 = V083621 + 1. assign V244547 = V436636. assign V522873 = V375574 + 1. assign V919381 = V429975 - 1. assign V095081 = V758086 + 1. assign V502754 = V034657 - 1. assign V009291 = V595940 - 1. assign V696855 = V313918. assign V315850 = V429975 + 1. assign V363540 = V120693 - 1. assign V677108 = V991232 + 1. assign V115826 = V152866 + 1. assign V134361 = V864741. assign V280880 = V696855. assign V044552 = V510469 - 1. assign V615416 = V120693 - 1. assign V838391 = V148889 - 1. assign V149575 = V764328 + 1. assign V638376 = V838391. assign V175959 = V864555 + 1. assign V056904 = V436636 - 1. assign V880258 = V305268. assign V375574 = V919381 + 1. assign V838175 = V156961 - 1. assign V011324 = V503984. assign V787536 = V533999 - 1. assign V971654 = V677108 - 1. assign V577772 = V935260. assign V544231 = V752273 + 1. assign V982765 = V034657. assign V449705 = V617537. assign V526956 = V898824 - 1. assign V254536 = V592456 - 1. assign V049936 = V072696 + 1. assign V031718 = V480533 - 1. assign V532999 = V638308 + 1. assign V945047 = V592456. assign V589510 = V764328 - 1. assign V450086 = V285663 + 1. assign V361913 = V449497 + 1. assign V362371 = V809966 - 1. assign V313918 = V350798 - 1. assign V394093 = V350798 + 1. assign V062273 = V436636 - 1. assign V148889 = V575427 + 1. assign V019333 = V589510. assign V429975 = V864555 - 1. assign V216619 = V329915 - 1. assign V970279 = V387740 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V638308 = V072696. assign V999292 = V864741. assign V030121 = V864555. assign V095056 = V796656. assign V316869 = V982765 - 1. assign V819761 = V575427 - 1. assign V595940 = V315850 + 1. assign V562218 = V962875 + 1. assign V657690 = V592456 + 1. assign V255360 = V059180. assign V514928 = V056904 + 1. assign V616953 = V947371. assign V532471 = V215991. assign V186368 = V510469. assign V510469 = V174628 - 1. assign V242665 = V796656 + 1. assign V280765 = V774320 + 1. assign V083621 = V752273 + 1. assign V147092 = V316991 + 1. assign V668196 = V962875 - 1. assign V442601 = V935260 + 1. assign V752273 = V793416. assign V789116 = V244547 - 1. assign V935260 = V919381 - 1. assign V174628 = V140691. assign V215991 = V691894 + 1. assign V589492 = V592456 - 1. assign V156961 = 5. assign V774320 = V424700 + 1. assign V316991 = V935260. assign V758086 = V875697. assign V691894 = V062273 + 1. assign V978304 = V363540 - 1. assign V793416 = V141829 + 1. assign V962875 = V034657 - 1. assign V960236 = V218104 - 1. assign V854791 = V059180 + 1. assign V141829 = V429975 - 1. assign V859188 = V062273 - 1. assign V581748 = V174628. assign V854755 = V274551. assign V458042 = V274551. assign V809966 = V935260 - 1. assign V449497 = V305268. assign V617537 = V962875 + 1. assign V507082 = V072696 - 1. assign V424700 = V429975 + 1. assign V737385 = V037205. assign V140691 = V152866 + 1. assign V329915 = V363540. assign V796656 = V864555 - 1. assign V472833 = V919381 + 1. assign V898824 = V429975 + 1. assign V691352 = V175959. assign V037205 = V595940 - 1. assign V605605 = V797065. assign V160819 = V449497 + 1. assign V989868 = V255360. assign V076374 = V982765. assign V350798 = V982765. assign V415678 = V115826 - 1. assign V656952 = V315850 + 1. assign V491561 = V978304 - 1. assign V212249 = V904182. assign V904182 = V429975 - 1. assign V567060 = V387740. assign V563843 = V898824 - 1. assign V285663 = V415678 - 1. assign V171783 = V212249 - 1. assign V832009 = V244547 + 1. assign V125193 = V898824 + 1. assign V675483 = V424700 + 1. assign V562850 = V029563. assign V152866 = V864555. assign V209240 = V429975. assign V609824 = V953792. assign V890891 = V030500 + 1. assign V366840 = V415678 + 1. assign V875697 = V305268. assign V623295 = V691894 + 1. assign V387740 = V140691 + 1. assign V947371 = V316991. assign V436636 = V424700. assign V440215 = V623295 + 1. assign V218104 = V563843. assign V757157 = V375574. assign V305268 = V898824. assign V864741 = V148889 + 1. assign V724868 = V363540 - 1. assign V911276 = V609824. assign V759901 = V059180. assign V274551 = V774320 - 1. assign V864833 = V503984. assign V825145 = V864741 - 1. assign V992855 = V924954 - 1. assign V953792 = V141829 + 1. assign V533999 = V809966. assign V995116 = V120693 - 1. assign V328291 = V006560 + 1. assign V592456 = V904182 + 1. assign V764328 = V935260 + 1. assign V924954 = V436636. assign V034657 = V175959 - 1. assign V120693 = V575427 + 1. assign V797065 = V854791 + 1. assign V030500 = V059180. assign V026210 = V945047 + 1. assign V256242 = V752273. assign V539071 = V030121. assign V675698 = V363540 - 1. assign V991232 = V793416 - 1. assign V598252 = V562218 + 1. assign V072696 = V793416 - 1. assign V291815 = V120693 - 1. assign V006560 = V285663. assign V059180 = V140691 - 1. assign V029563 = V141829. assign V480533 = V615416 + 1. assign V503984 = V449497 - 1. assign V954225 = V072696. assign V575427 = V875697. assign V108653 = V285663 + 1. assign V006642 = V115826. assign V154655 = V083621 + 1. assign V244547 = V436636. assign V522873 = V375574 + 1. assign V919381 = V429975 - 1. assign V095081 = V758086 + 1. assign V502754 = V034657 - 1. assign V009291 = V595940 - 1. assign V696855 = V313918. assign V315850 = V429975 + 1. assign V363540 = V120693 - 1. assign V677108 = V991232 + 1. assign V115826 = V152866 + 1. assign V134361 = V864741. assign V280880 = V696855. assign V044552 = V510469 - 1. assign V615416 = V120693 - 1. assign V838391 = V148889 - 1. assign V149575 = V764328 + 1. assign V638376 = V838391. assign V175959 = V864555 + 1. assign V056904 = V436636 - 1. assign V880258 = V305268. assign V375574 = V919381 + 1. assign V838175 = V156961 - 1. assign V011324 = V503984. assign V787536 = V533999 - 1. assign V971654 = V677108 - 1. assign V577772 = V935260. assign V544231 = V752273 + 1. assign V982765 = V034657. assign V449705 = V617537. assign V526956 = V898824 - 1. assign V254536 = V592456 - 1. assign V049936 = V072696 + 1. assign V031718 = V480533 - 1. assign V532999 = V638308 + 1. assign V945047 = V592456. assign V589510 = V764328 - 1. assign V450086 = V285663 + 1. assign V361913 = V449497 + 1. assign V362371 = V809966 - 1. assign V313918 = V350798 - 1. assign V394093 = V350798 + 1. assign V062273 = V436636 - 1. assign V148889 = V575427 + 1. assign V019333 = V589510. assign V429975 = V864555 - 1. assign V216619 = V329915 - 1. assign V970279 = V387740 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV156961 = 5;\n\nFrom these direct assignment(s), we have: \nV838175 = V156961 - 1 = 5 - 1 =4;\nNo other variables can be derived from V838175;\nNo other variables can be derived from V156961;\n\nNow we have done all the calculations. Derived variables are:\nV156961 = 5;\nV838175 = 4;\n\nNow we have finished this problem. ANSWER:\nV838175\n", "role": "assistant" } ]

[ "V166585" ]

[ { "content": "<context>\nassign V617568 = V316353 + 1. assign V870294 = V406444 + 1. assign V838634 = V723162 - 1. assign V468049 = V757649 - 1. assign V638405 = V230905 + 1. assign V323687 = V220774 + 1. assign V739827 = V076346 + 1. assign V536996 = V728388. assign V650961 = V096711. assign V070206 = V108275 + 1. assign V004036 = V291485 - 1. assign V220774 = V916326 - 1. assign V445659 = V531836. assign V196868 = V185043. assign V842971 = V230905. assign V807276 = V608007. assign V945811 = V170454 - 1. assign V693070 = V610196 - 1. assign V111112 = V069063. assign V876770 = V654990 - 1. assign V529408 = V530742. assign V166585 = V412365 - 1. assign V620041 = V749423 - 1. assign V826396 = V838820. assign V388323 = V479266 + 1. assign V150339 = V425363 + 1. assign V937321 = V373661. assign V709970 = V345534 - 1. assign V608007 = V654990 + 1. assign V503570 = V094710 - 1. assign V797865 = V838634 - 1. assign V531836 = V403998 - 1. assign V802325 = V494272. assign V097525 = V506210 + 1. assign V166015 = V100594. assign V333300 = V979053. assign V064934 = V584533. assign V607213 = V723162 + 1. assign V118676 = V638405 - 1. assign V479266 = V607213. assign V598220 = V610196 - 1. assign V599133 = V080595 + 1. assign V749423 = V655251. assign V291485 = V876368 - 1. assign V604693 = V403998 - 1. assign V730113 = V052443. assign V673425 = V986275 - 1. assign V597862 = V598220 + 1. assign V964437 = V876368. assign V412365 = 10. assign V931905 = V435439 + 1. assign V310170 = V170454 + 1. assign V922499 = V876902 + 1. assign V689600 = V628234 - 1. assign V655251 = V876902 + 1. assign V373661 = V403998 + 1. assign V979053 = V550146 + 1. assign V916326 = V838820 + 1. assign V707451 = V838634 - 1. assign V531538 = V333300 - 1. assign V986275 = V494272 + 1. assign V435443 = V362347 + 1. assign V267655 = V077441 - 1. assign V913880 = V938500 + 1. assign V846670 = V445659. assign V191166 = V373661. assign V161309 = V153013 - 1. assign V821429 = V739827. assign V478746 = V403998. assign V316353 = V937321. assign V734260 = V791949. assign V120102 = V610196. assign V973236 = V373661. assign V185043 = V655251. assign V090922 = V287007. assign V108275 = V332013 - 1. assign V435439 = V100594 + 1. assign V211230 = V370619. assign V494272 = V403998 - 1. assign V728388 = V267655 + 1. assign V205554 = V395203. assign V413994 = V665830. assign V200188 = V964437 - 1. assign V406757 = V406689 - 1. assign V100734 = V166015 + 1. assign V665830 = V445659. assign V230905 = V607213. assign V654990 = V170454 + 1. assign V395203 = V406444 - 1. assign V026993 = V291485 - 1. assign V938500 = V506210. assign V076346 = V445659. assign V495850 = V838634 + 1. assign V394934 = V728388. assign V610196 = V425363. assign V332013 = V291485. assign V345534 = V077441 + 1. assign V984934 = V096711 - 1. assign V270972 = V100594 - 1. assign V309007 = V922499 + 1. assign V954624 = V425363 - 1. assign V188683 = V153013 - 1. assign V822533 = V291485 - 1. assign V683215 = V094710 + 1. assign V080595 = V332013 - 1. assign V494082 = V373661 - 1. assign V189743 = V610196 - 1. assign V362347 = V655251 - 1. assign V628234 = V077441 - 1. assign V723162 = V531836 - 1. assign V455725 = V406757 + 1. assign V830597 = V916326 - 1. assign V820723 = V913880 + 1. assign V681125 = V395203 - 1. assign V876368 = V826396. assign V403998 = V165997 - 1. assign V746007 = V332013 - 1. assign V780965 = V494082 - 1. assign V170454 = V494272 - 1. assign V530742 = V494272. assign V842205 = V631724 + 1. assign V494587 = V406444. assign V287007 = V665830 + 1. assign V131389 = V984934 + 1. assign V705578 = V090922 + 1. assign V496368 = V689600 - 1. assign V525915 = V665830 - 1. assign V100594 = V531836. assign V747325 = V362347 - 1. assign V940473 = V362347. assign V438105 = V120102 + 1. assign V242997 = V610196 + 1. assign V086718 = V170454 - 1. assign V757649 = V689600 - 1. assign V791949 = V723162 - 1. assign V069063 = V826396 + 1. assign V851857 = V964437 - 1. assign V550146 = V494272 - 1. assign V584533 = V531836 + 1. assign V406444 = V646712. assign V606842 = V108275. assign V307397 = V604693 + 1. assign V279054 = V165997 - 1. assign V651330 = V406689 - 1. assign V876902 = V403998. assign V094856 = V838634 - 1. assign V351286 = V076346. assign V096711 = V876902. assign V631724 = V689600 - 1. assign V333677 = V170454. assign V669086 = V984934 - 1. assign V406689 = V916326 - 1. assign V165997 = V916326 + 1. assign V925428 = V161309 + 1. assign V644885 = V370619. assign V034542 = V191166. assign V052443 = V153013. assign V423500 = V655251. assign V370619 = V069063 + 1. assign V153013 = V267655 - 1. assign V687448 = V323687 - 1. assign V871770 = V406444 + 1. assign V480930 = V683215. assign V506210 = V494082 - 1. assign V016488 = V681125 - 1. assign V094710 = V689600 - 1. assign V425363 = V876902 + 1. assign V076269 = V170454 + 1. assign V646712 = V826396 - 1. assign V077441 = V876902 - 1. assign V021918 = V205554. assign V027083 = V728388 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V617568 = V316353 + 1. assign V870294 = V406444 + 1. assign V838634 = V723162 - 1. assign V468049 = V757649 - 1. assign V638405 = V230905 + 1. assign V323687 = V220774 + 1. assign V739827 = V076346 + 1. assign V536996 = V728388. assign V650961 = V096711. assign V070206 = V108275 + 1. assign V004036 = V291485 - 1. assign V220774 = V916326 - 1. assign V445659 = V531836. assign V196868 = V185043. assign V842971 = V230905. assign V807276 = V608007. assign V945811 = V170454 - 1. assign V693070 = V610196 - 1. assign V111112 = V069063. assign V876770 = V654990 - 1. assign V529408 = V530742. assign V166585 = V412365 - 1. assign V620041 = V749423 - 1. assign V826396 = V838820. assign V388323 = V479266 + 1. assign V150339 = V425363 + 1. assign V937321 = V373661. assign V709970 = V345534 - 1. assign V608007 = V654990 + 1. assign V503570 = V094710 - 1. assign V797865 = V838634 - 1. assign V531836 = V403998 - 1. assign V802325 = V494272. assign V097525 = V506210 + 1. assign V166015 = V100594. assign V333300 = V979053. assign V064934 = V584533. assign V607213 = V723162 + 1. assign V118676 = V638405 - 1. assign V479266 = V607213. assign V598220 = V610196 - 1. assign V599133 = V080595 + 1. assign V749423 = V655251. assign V291485 = V876368 - 1. assign V604693 = V403998 - 1. assign V730113 = V052443. assign V673425 = V986275 - 1. assign V597862 = V598220 + 1. assign V964437 = V876368. assign V412365 = 10. assign V931905 = V435439 + 1. assign V310170 = V170454 + 1. assign V922499 = V876902 + 1. assign V689600 = V628234 - 1. assign V655251 = V876902 + 1. assign V373661 = V403998 + 1. assign V979053 = V550146 + 1. assign V916326 = V838820 + 1. assign V707451 = V838634 - 1. assign V531538 = V333300 - 1. assign V986275 = V494272 + 1. assign V435443 = V362347 + 1. assign V267655 = V077441 - 1. assign V913880 = V938500 + 1. assign V846670 = V445659. assign V191166 = V373661. assign V161309 = V153013 - 1. assign V821429 = V739827. assign V478746 = V403998. assign V316353 = V937321. assign V734260 = V791949. assign V120102 = V610196. assign V973236 = V373661. assign V185043 = V655251. assign V090922 = V287007. assign V108275 = V332013 - 1. assign V435439 = V100594 + 1. assign V211230 = V370619. assign V494272 = V403998 - 1. assign V728388 = V267655 + 1. assign V205554 = V395203. assign V413994 = V665830. assign V200188 = V964437 - 1. assign V406757 = V406689 - 1. assign V100734 = V166015 + 1. assign V665830 = V445659. assign V230905 = V607213. assign V654990 = V170454 + 1. assign V395203 = V406444 - 1. assign V026993 = V291485 - 1. assign V938500 = V506210. assign V076346 = V445659. assign V495850 = V838634 + 1. assign V394934 = V728388. assign V610196 = V425363. assign V332013 = V291485. assign V345534 = V077441 + 1. assign V984934 = V096711 - 1. assign V270972 = V100594 - 1. assign V309007 = V922499 + 1. assign V954624 = V425363 - 1. assign V188683 = V153013 - 1. assign V822533 = V291485 - 1. assign V683215 = V094710 + 1. assign V080595 = V332013 - 1. assign V494082 = V373661 - 1. assign V189743 = V610196 - 1. assign V362347 = V655251 - 1. assign V628234 = V077441 - 1. assign V723162 = V531836 - 1. assign V455725 = V406757 + 1. assign V830597 = V916326 - 1. assign V820723 = V913880 + 1. assign V681125 = V395203 - 1. assign V876368 = V826396. assign V403998 = V165997 - 1. assign V746007 = V332013 - 1. assign V780965 = V494082 - 1. assign V170454 = V494272 - 1. assign V530742 = V494272. assign V842205 = V631724 + 1. assign V494587 = V406444. assign V287007 = V665830 + 1. assign V131389 = V984934 + 1. assign V705578 = V090922 + 1. assign V496368 = V689600 - 1. assign V525915 = V665830 - 1. assign V100594 = V531836. assign V747325 = V362347 - 1. assign V940473 = V362347. assign V438105 = V120102 + 1. assign V242997 = V610196 + 1. assign V086718 = V170454 - 1. assign V757649 = V689600 - 1. assign V791949 = V723162 - 1. assign V069063 = V826396 + 1. assign V851857 = V964437 - 1. assign V550146 = V494272 - 1. assign V584533 = V531836 + 1. assign V406444 = V646712. assign V606842 = V108275. assign V307397 = V604693 + 1. assign V279054 = V165997 - 1. assign V651330 = V406689 - 1. assign V876902 = V403998. assign V094856 = V838634 - 1. assign V351286 = V076346. assign V096711 = V876902. assign V631724 = V689600 - 1. assign V333677 = V170454. assign V669086 = V984934 - 1. assign V406689 = V916326 - 1. assign V165997 = V916326 + 1. assign V925428 = V161309 + 1. assign V644885 = V370619. assign V034542 = V191166. assign V052443 = V153013. assign V423500 = V655251. assign V370619 = V069063 + 1. assign V153013 = V267655 - 1. assign V687448 = V323687 - 1. assign V871770 = V406444 + 1. assign V480930 = V683215. assign V506210 = V494082 - 1. assign V016488 = V681125 - 1. assign V094710 = V689600 - 1. assign V425363 = V876902 + 1. assign V076269 = V170454 + 1. assign V646712 = V826396 - 1. assign V077441 = V876902 - 1. assign V021918 = V205554. assign V027083 = V728388 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV412365 = 10;\n\nFrom these direct assignment(s), we have: \nV166585 = V412365 - 1 = 10 - 1 =9;\nNo other variables can be derived from V166585;\nNo other variables can be derived from V412365;\n\nNow we have done all the calculations. Derived variables are:\nV412365 = 10;\nV166585 = 9;\n\nNow we have finished this problem. ANSWER:\nV166585\n", "role": "assistant" } ]

[ "V609808", "V906610" ]

[ { "content": "<context>\nassign V360381 = V239097. assign V765505 = V701517 + 1. assign V201286 = V186787. assign V666673 = V602043 - 1. assign V449966 = V739617 + 1. assign V898615 = V189759 + 1. assign V035287 = V701517. assign V393914 = V188550 - 1. assign V533284 = V154319 - 1. assign V675415 = V242165. assign V520705 = V431178. assign V931749 = V455533 - 1. assign V774144 = V851002 + 1. assign V965269 = V544135 + 1. assign V609808 = 3. assign V929444 = V538812 - 1. assign V230124 = V023382 + 1. assign V460216 = V701517 - 1. assign V493439 = V995982 - 1. assign V023382 = V172907. assign V111079 = V738362 + 1. assign V395471 = V538812. assign V251930 = V935345 - 1. assign V717496 = V230124 - 1. assign V930631 = V103816. assign V172819 = V995982 + 1. assign V805825 = V415705 - 1. assign V484779 = V212577 - 1. assign V488936 = V574009 - 1. assign V776255 = V172907 - 1. assign V941152 = V172907 + 1. assign V597170 = V941152 - 1. assign V739617 = V035287 + 1. assign V222994 = V194030 + 1. assign V741078 = V337299 - 1. assign V168186 = V911646 + 1. assign V220640 = V023382 + 1. assign V858453 = V191766 + 1. assign V287424 = V172907 - 1. assign V635306 = V544135 - 1. assign V696406 = V776255 - 1. assign V706055 = V364954 - 1. assign V157691 = V423065. assign V906610 = V609808. assign V404309 = V488936 - 1. assign V572199 = V616047 + 1. assign V676616 = V535725 + 1. assign V119810 = V941152 - 1. assign V376612 = V172907 + 1. assign V321652 = V429852 - 1. assign V160189 = V886959 + 1. assign V805642 = V242165 - 1. assign V353254 = V186787. assign V245844 = V851002 - 1. assign V141754 = V769647. assign V412779 = V935345. assign V538812 = V376612 - 1. assign V743187 = V152106 - 1. assign V615826 = V886959. assign V212577 = V544135 + 1. assign V570701 = V805825. assign V857166 = V762154 + 1. assign V154319 = V476111 + 1. assign V367209 = V119810 - 1. assign V774669 = V765682 - 1. assign V769647 = V023382. assign V313188 = V230124 - 1. assign V186787 = V609061. assign V136404 = V313188 + 1. assign V840968 = V544135. assign V656022 = V851002 - 1. assign V485450 = V840779 - 1. assign V574009 = V230124 + 1. assign V318615 = V251930 - 1. assign V928742 = V395471 - 1. assign V975593 = V455533. assign V759985 = V860203 - 1. assign V678812 = V429852 - 1. assign V851002 = V776255. assign V050956 = V313188 + 1. assign V152106 = V172907. assign V103816 = V172907 - 1. assign V224030 = V364954 + 1. assign V609061 = V574009. assign V785357 = V615826. assign V423065 = V077644 - 1. assign V886959 = V423065. assign V300100 = V886959 + 1. assign V277962 = V762154 - 1. assign V030253 = V141754. assign V911646 = V423065. assign V337299 = V423065 - 1. assign V033298 = V706055 - 1. assign V482672 = V805825 + 1. assign V246744 = V886959 - 1. assign V566199 = V769647. assign V694872 = V222994 - 1. assign V900090 = V782823 + 1. assign V840779 = V701517 + 1. assign V907155 = V364954. assign V764159 = V287424 - 1. assign V701517 = V935345 - 1. assign V765682 = V077644 + 1. assign V446786 = V635306 - 1. assign V837105 = V437970. assign V935345 = V609061 - 1. assign V286726 = V774716 + 1. assign V829516 = V706055 - 1. assign V903284 = V765682 + 1. assign V455533 = V776255 - 1. assign V195900 = V602043 + 1. assign V390539 = V743187 - 1. assign V616047 = V765505 - 1. assign V533168 = V666673 - 1. assign V862157 = V898615 - 1. assign V844735 = V930631. assign V190114 = V774144 + 1. assign V431178 = V242165 - 1. assign V774716 = V776255. assign V847481 = V327011 - 1. assign V312351 = V246744 - 1. assign V465805 = V886959 + 1. assign V782823 = V190114 + 1. assign V055887 = V077644. assign V738362 = V476111 + 1. assign V415705 = V194030. assign V679530 = V387317 - 1. assign V568961 = V077644 - 1. assign V191766 = V152106 - 1. assign V672822 = V485450 + 1. assign V995982 = V133296. assign V515221 = V455533 + 1. assign V239097 = V172907 + 1. assign V860203 = V194030 - 1. assign V096953 = V251930. assign V405620 = V931749. assign V602043 = V230124 + 1. assign V163139 = V544135 - 1. assign V133296 = V023382. assign V142336 = V765505 - 1. assign V360821 = V928742 + 1. assign V194030 = V230124. assign V458547 = V172907. assign V189759 = V460216. assign V903648 = V840779. assign V831288 = V168186 - 1. assign V476111 = V035287. assign V437970 = V190114. assign V575617 = V152106 + 1. assign V832628 = V141754 + 1. assign V535725 = V190114. assign V387317 = V286726. assign V729608 = V220640 + 1. assign V924665 = V544135 - 1. assign V027520 = V575617. assign V007191 = V493439 + 1. assign V479874 = V774144. assign V077644 = V313188. assign V429852 = V762154 + 1. assign V956702 = V928742 + 1. assign V122874 = V191766 - 1. assign V661978 = V538812. assign V242165 = V251930. assign V859214 = V152106 - 1. assign V822910 = V675415 - 1. assign V188550 = V376612. assign V554111 = V364954. assign V894051 = V163139. assign V762154 = V675415. assign V544135 = V313188. assign V327011 = V544135 + 1. assign V364954 = V935345.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V360381 = V239097. assign V765505 = V701517 + 1. assign V201286 = V186787. assign V666673 = V602043 - 1. assign V449966 = V739617 + 1. assign V898615 = V189759 + 1. assign V035287 = V701517. assign V393914 = V188550 - 1. assign V533284 = V154319 - 1. assign V675415 = V242165. assign V520705 = V431178. assign V931749 = V455533 - 1. assign V774144 = V851002 + 1. assign V965269 = V544135 + 1. assign V609808 = 3. assign V929444 = V538812 - 1. assign V230124 = V023382 + 1. assign V460216 = V701517 - 1. assign V493439 = V995982 - 1. assign V023382 = V172907. assign V111079 = V738362 + 1. assign V395471 = V538812. assign V251930 = V935345 - 1. assign V717496 = V230124 - 1. assign V930631 = V103816. assign V172819 = V995982 + 1. assign V805825 = V415705 - 1. assign V484779 = V212577 - 1. assign V488936 = V574009 - 1. assign V776255 = V172907 - 1. assign V941152 = V172907 + 1. assign V597170 = V941152 - 1. assign V739617 = V035287 + 1. assign V222994 = V194030 + 1. assign V741078 = V337299 - 1. assign V168186 = V911646 + 1. assign V220640 = V023382 + 1. assign V858453 = V191766 + 1. assign V287424 = V172907 - 1. assign V635306 = V544135 - 1. assign V696406 = V776255 - 1. assign V706055 = V364954 - 1. assign V157691 = V423065. assign V906610 = V609808. assign V404309 = V488936 - 1. assign V572199 = V616047 + 1. assign V676616 = V535725 + 1. assign V119810 = V941152 - 1. assign V376612 = V172907 + 1. assign V321652 = V429852 - 1. assign V160189 = V886959 + 1. assign V805642 = V242165 - 1. assign V353254 = V186787. assign V245844 = V851002 - 1. assign V141754 = V769647. assign V412779 = V935345. assign V538812 = V376612 - 1. assign V743187 = V152106 - 1. assign V615826 = V886959. assign V212577 = V544135 + 1. assign V570701 = V805825. assign V857166 = V762154 + 1. assign V154319 = V476111 + 1. assign V367209 = V119810 - 1. assign V774669 = V765682 - 1. assign V769647 = V023382. assign V313188 = V230124 - 1. assign V186787 = V609061. assign V136404 = V313188 + 1. assign V840968 = V544135. assign V656022 = V851002 - 1. assign V485450 = V840779 - 1. assign V574009 = V230124 + 1. assign V318615 = V251930 - 1. assign V928742 = V395471 - 1. assign V975593 = V455533. assign V759985 = V860203 - 1. assign V678812 = V429852 - 1. assign V851002 = V776255. assign V050956 = V313188 + 1. assign V152106 = V172907. assign V103816 = V172907 - 1. assign V224030 = V364954 + 1. assign V609061 = V574009. assign V785357 = V615826. assign V423065 = V077644 - 1. assign V886959 = V423065. assign V300100 = V886959 + 1. assign V277962 = V762154 - 1. assign V030253 = V141754. assign V911646 = V423065. assign V337299 = V423065 - 1. assign V033298 = V706055 - 1. assign V482672 = V805825 + 1. assign V246744 = V886959 - 1. assign V566199 = V769647. assign V694872 = V222994 - 1. assign V900090 = V782823 + 1. assign V840779 = V701517 + 1. assign V907155 = V364954. assign V764159 = V287424 - 1. assign V701517 = V935345 - 1. assign V765682 = V077644 + 1. assign V446786 = V635306 - 1. assign V837105 = V437970. assign V935345 = V609061 - 1. assign V286726 = V774716 + 1. assign V829516 = V706055 - 1. assign V903284 = V765682 + 1. assign V455533 = V776255 - 1. assign V195900 = V602043 + 1. assign V390539 = V743187 - 1. assign V616047 = V765505 - 1. assign V533168 = V666673 - 1. assign V862157 = V898615 - 1. assign V844735 = V930631. assign V190114 = V774144 + 1. assign V431178 = V242165 - 1. assign V774716 = V776255. assign V847481 = V327011 - 1. assign V312351 = V246744 - 1. assign V465805 = V886959 + 1. assign V782823 = V190114 + 1. assign V055887 = V077644. assign V738362 = V476111 + 1. assign V415705 = V194030. assign V679530 = V387317 - 1. assign V568961 = V077644 - 1. assign V191766 = V152106 - 1. assign V672822 = V485450 + 1. assign V995982 = V133296. assign V515221 = V455533 + 1. assign V239097 = V172907 + 1. assign V860203 = V194030 - 1. assign V096953 = V251930. assign V405620 = V931749. assign V602043 = V230124 + 1. assign V163139 = V544135 - 1. assign V133296 = V023382. assign V142336 = V765505 - 1. assign V360821 = V928742 + 1. assign V194030 = V230124. assign V458547 = V172907. assign V189759 = V460216. assign V903648 = V840779. assign V831288 = V168186 - 1. assign V476111 = V035287. assign V437970 = V190114. assign V575617 = V152106 + 1. assign V832628 = V141754 + 1. assign V535725 = V190114. assign V387317 = V286726. assign V729608 = V220640 + 1. assign V924665 = V544135 - 1. assign V027520 = V575617. assign V007191 = V493439 + 1. assign V479874 = V774144. assign V077644 = V313188. assign V429852 = V762154 + 1. assign V956702 = V928742 + 1. assign V122874 = V191766 - 1. assign V661978 = V538812. assign V242165 = V251930. assign V859214 = V152106 - 1. assign V822910 = V675415 - 1. assign V188550 = V376612. assign V554111 = V364954. assign V894051 = V163139. assign V762154 = V675415. assign V544135 = V313188. assign V327011 = V544135 + 1. assign V364954 = V935345.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV609808 = 3;\n\nFrom these direct assignment(s), we have: \nV906610 = V609808 = 3;\nNo other variables can be derived from V906610;\nNo other variables can be derived from V609808;\n\nNow we have done all the calculations. Derived variables are:\nV609808 = 3;\nV906610 = 3;\n\nNow we have finished this problem. ANSWER:\nV609808, V906610\n", "role": "assistant" } ]

[ "V484000", "V444937" ]

[ { "content": "<context>\nassign V216442 = V504250 + 1. assign V943793 = V992325 - 1. assign V179478 = V721858. assign V677193 = V385238 + 1. assign V047136 = V494208. assign V081973 = V815784 - 1. assign V721858 = V669090 - 1. assign V822784 = V780298 + 1. assign V504266 = V647739 - 1. assign V194918 = V251350. assign V194567 = V929529 + 1. assign V198866 = V762526. assign V794068 = V187811 - 1. assign V644194 = V660046 - 1. assign V107184 = V046030. assign V889048 = V216442 - 1. assign V907192 = V423428 + 1. assign V898578 = V782025. assign V782025 = V251350. assign V409528 = V292221 + 1. assign V740901 = V647739 - 1. assign V011919 = V494208 + 1. assign V573109 = V119061 - 1. assign V659885 = V469387. assign V015644 = V658055. assign V347360 = V659909 - 1. assign V194781 = V889736 + 1. assign V992325 = V504250. assign V425427 = V748874. assign V826431 = V876838 - 1. assign V284749 = V612854 - 1. assign V620010 = V756183 - 1. assign V938153 = V889048. assign V573029 = V794068. assign V367838 = V569786. assign V693744 = V347360 - 1. assign V298753 = V985115 + 1. assign V395942 = V504250 + 1. assign V748874 = V889736 - 1. assign V161199 = V179478 + 1. assign V598742 = V057103 + 1. assign V658055 = V013721 - 1. assign V719661 = V216442 + 1. assign V064015 = V834160. assign V666377 = V216442. assign V444937 = V484000. assign V723294 = V929529. assign V734597 = V807611 - 1. assign V979986 = V644194 - 1. assign V563201 = V721858. assign V929529 = V825273 - 1. assign V057154 = V485058 - 1. assign V558979 = V322843 - 1. assign V491344 = V332064. assign V807611 = V593822 + 1. assign V411646 = V524742 - 1. assign V647739 = V198866. assign V286593 = V644194 - 1. assign V289011 = V485058 + 1. assign V493408 = V154612 - 1. assign V593822 = V669090. assign V553260 = V154612. assign V890313 = V659909 - 1. assign V319947 = V711185 - 1. assign V152274 = V690396 + 1. assign V139334 = V115040 - 1. assign V367578 = V216442 + 1. assign V294695 = V593822 + 1. assign V553116 = V932640 + 1. assign V309562 = V319947 + 1. assign V555289 = V821070. assign V289536 = V389752. assign V997606 = V389752 - 1. assign V464054 = V284749. assign V485058 = V834160 - 1. assign V092499 = V055979 - 1. assign V829657 = V694738 + 1. assign V331562 = V535137 + 1. assign V756183 = V322843 - 1. assign V354996 = V294695 - 1. assign V370365 = V389752 + 1. assign V524742 = V067228. assign V798822 = V235409. assign V235409 = V367578 - 1. assign V028642 = V719661 + 1. assign V571357 = V179478 + 1. assign V494208 = V367578. assign V865720 = V719661. assign V013721 = V825273. assign V251350 = V057103 + 1. assign V221876 = V740901 + 1. assign V690383 = V889048 + 1. assign V469387 = V644194. assign V535137 = V485058 - 1. assign V531310 = V119061. assign V484000 = 4. assign V815126 = V712060 + 1. assign V073696 = V943793. assign V504250 = V889736. assign V385238 = V161199 + 1. assign V463269 = V834160. assign V292221 = V620010 - 1. assign V322843 = V216442. assign V739999 = V541473 - 1. assign V389752 = V119061. assign V694738 = V997606. assign V939929 = V669155 - 1. assign V119061 = V322843 + 1. assign V690396 = V216442. assign V116157 = V891188 - 1. assign V207012 = V690383 - 1. assign V772931 = V119061. assign V646847 = V347360 + 1. assign V821070 = V748874. assign V154612 = V504250 + 1. assign V033756 = V660046 - 1. assign V115040 = V207012. assign V719423 = V943793. assign V423428 = V943793 + 1. assign V549219 = V067228. assign V289390 = V523296 - 1. assign V660046 = V067228 + 1. assign V805247 = V389752 + 1. assign V815784 = V669090. assign V852415 = V666377. assign V482585 = V504266 - 1. assign V706565 = V389752 - 1. assign V834160 = V389752 - 1. assign V322385 = V047136 - 1. assign V187811 = V748874. assign V027349 = V711185 + 1. assign V466735 = V531310. assign V669155 = V821070 - 1. assign V780298 = V834160 - 1. assign V825273 = V748874 - 1. assign V384066 = V161199 - 1. assign V571774 = V395942 + 1. assign V067228 = V504250. assign V985115 = V055979. assign V298824 = V194567 - 1. assign V057103 = V748874 + 1. assign V138157 = V939929 + 1. assign V989808 = V659885. assign V743929 = V889736 - 1. assign V055979 = V067228 - 1. assign V312361 = V194918 - 1. assign V891188 = V669090 - 1. assign V523296 = V011919 - 1. assign V711185 = V593822 + 1. assign V669090 = V889736 + 1. assign V541473 = V367578 + 1. assign V344123 = V289536 + 1. assign V932640 = V898578 + 1. assign V712060 = V116157 + 1. assign V644582 = V659909 + 1. assign V876838 = V711185. assign V071790 = V491344. assign V669302 = V216442 - 1. assign V530846 = V555289. assign V364356 = V889048 - 1. assign V970329 = V469387 - 1. assign V737094 = V647739. assign V988381 = V071790. assign V332064 = V748874 - 1. assign V659909 = V889736 - 1. assign V085991 = V115040 + 1. assign V046030 = V693744 - 1. assign V420919 = V658055 - 1. assign V569786 = V898578 + 1. assign V612854 = V748874. assign V762526 = V322843 - 1. assign V449469 = V932640.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V216442 = V504250 + 1. assign V943793 = V992325 - 1. assign V179478 = V721858. assign V677193 = V385238 + 1. assign V047136 = V494208. assign V081973 = V815784 - 1. assign V721858 = V669090 - 1. assign V822784 = V780298 + 1. assign V504266 = V647739 - 1. assign V194918 = V251350. assign V194567 = V929529 + 1. assign V198866 = V762526. assign V794068 = V187811 - 1. assign V644194 = V660046 - 1. assign V107184 = V046030. assign V889048 = V216442 - 1. assign V907192 = V423428 + 1. assign V898578 = V782025. assign V782025 = V251350. assign V409528 = V292221 + 1. assign V740901 = V647739 - 1. assign V011919 = V494208 + 1. assign V573109 = V119061 - 1. assign V659885 = V469387. assign V015644 = V658055. assign V347360 = V659909 - 1. assign V194781 = V889736 + 1. assign V992325 = V504250. assign V425427 = V748874. assign V826431 = V876838 - 1. assign V284749 = V612854 - 1. assign V620010 = V756183 - 1. assign V938153 = V889048. assign V573029 = V794068. assign V367838 = V569786. assign V693744 = V347360 - 1. assign V298753 = V985115 + 1. assign V395942 = V504250 + 1. assign V748874 = V889736 - 1. assign V161199 = V179478 + 1. assign V598742 = V057103 + 1. assign V658055 = V013721 - 1. assign V719661 = V216442 + 1. assign V064015 = V834160. assign V666377 = V216442. assign V444937 = V484000. assign V723294 = V929529. assign V734597 = V807611 - 1. assign V979986 = V644194 - 1. assign V563201 = V721858. assign V929529 = V825273 - 1. assign V057154 = V485058 - 1. assign V558979 = V322843 - 1. assign V491344 = V332064. assign V807611 = V593822 + 1. assign V411646 = V524742 - 1. assign V647739 = V198866. assign V286593 = V644194 - 1. assign V289011 = V485058 + 1. assign V493408 = V154612 - 1. assign V593822 = V669090. assign V553260 = V154612. assign V890313 = V659909 - 1. assign V319947 = V711185 - 1. assign V152274 = V690396 + 1. assign V139334 = V115040 - 1. assign V367578 = V216442 + 1. assign V294695 = V593822 + 1. assign V553116 = V932640 + 1. assign V309562 = V319947 + 1. assign V555289 = V821070. assign V289536 = V389752. assign V997606 = V389752 - 1. assign V464054 = V284749. assign V485058 = V834160 - 1. assign V092499 = V055979 - 1. assign V829657 = V694738 + 1. assign V331562 = V535137 + 1. assign V756183 = V322843 - 1. assign V354996 = V294695 - 1. assign V370365 = V389752 + 1. assign V524742 = V067228. assign V798822 = V235409. assign V235409 = V367578 - 1. assign V028642 = V719661 + 1. assign V571357 = V179478 + 1. assign V494208 = V367578. assign V865720 = V719661. assign V013721 = V825273. assign V251350 = V057103 + 1. assign V221876 = V740901 + 1. assign V690383 = V889048 + 1. assign V469387 = V644194. assign V535137 = V485058 - 1. assign V531310 = V119061. assign V484000 = 4. assign V815126 = V712060 + 1. assign V073696 = V943793. assign V504250 = V889736. assign V385238 = V161199 + 1. assign V463269 = V834160. assign V292221 = V620010 - 1. assign V322843 = V216442. assign V739999 = V541473 - 1. assign V389752 = V119061. assign V694738 = V997606. assign V939929 = V669155 - 1. assign V119061 = V322843 + 1. assign V690396 = V216442. assign V116157 = V891188 - 1. assign V207012 = V690383 - 1. assign V772931 = V119061. assign V646847 = V347360 + 1. assign V821070 = V748874. assign V154612 = V504250 + 1. assign V033756 = V660046 - 1. assign V115040 = V207012. assign V719423 = V943793. assign V423428 = V943793 + 1. assign V549219 = V067228. assign V289390 = V523296 - 1. assign V660046 = V067228 + 1. assign V805247 = V389752 + 1. assign V815784 = V669090. assign V852415 = V666377. assign V482585 = V504266 - 1. assign V706565 = V389752 - 1. assign V834160 = V389752 - 1. assign V322385 = V047136 - 1. assign V187811 = V748874. assign V027349 = V711185 + 1. assign V466735 = V531310. assign V669155 = V821070 - 1. assign V780298 = V834160 - 1. assign V825273 = V748874 - 1. assign V384066 = V161199 - 1. assign V571774 = V395942 + 1. assign V067228 = V504250. assign V985115 = V055979. assign V298824 = V194567 - 1. assign V057103 = V748874 + 1. assign V138157 = V939929 + 1. assign V989808 = V659885. assign V743929 = V889736 - 1. assign V055979 = V067228 - 1. assign V312361 = V194918 - 1. assign V891188 = V669090 - 1. assign V523296 = V011919 - 1. assign V711185 = V593822 + 1. assign V669090 = V889736 + 1. assign V541473 = V367578 + 1. assign V344123 = V289536 + 1. assign V932640 = V898578 + 1. assign V712060 = V116157 + 1. assign V644582 = V659909 + 1. assign V876838 = V711185. assign V071790 = V491344. assign V669302 = V216442 - 1. assign V530846 = V555289. assign V364356 = V889048 - 1. assign V970329 = V469387 - 1. assign V737094 = V647739. assign V988381 = V071790. assign V332064 = V748874 - 1. assign V659909 = V889736 - 1. assign V085991 = V115040 + 1. assign V046030 = V693744 - 1. assign V420919 = V658055 - 1. assign V569786 = V898578 + 1. assign V612854 = V748874. assign V762526 = V322843 - 1. assign V449469 = V932640.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV484000 = 4;\n\nFrom these direct assignment(s), we have: \nV444937 = V484000 = 4;\nNo other variables can be derived from V444937;\nNo other variables can be derived from V484000;\n\nNow we have done all the calculations. Derived variables are:\nV484000 = 4;\nV444937 = 4;\n\nNow we have finished this problem. ANSWER:\nV484000, V444937\n", "role": "assistant" } ]

[ "V450750" ]

[ { "content": "<context>\nassign V851854 = V635482 - 1. assign V708741 = V634835 + 1. assign V747524 = V349824 + 1. assign V502761 = V349824 + 1. assign V150167 = V594335 + 1. assign V884181 = V594335 + 1. assign V592595 = V785059 - 1. assign V634835 = V293668 - 1. assign V033778 = V508126 + 1. assign V351431 = V252476 - 1. assign V834613 = V622791. assign V240273 = V160040 + 1. assign V050320 = V376182. assign V508126 = V144337. assign V513566 = V770489 - 1. assign V388432 = V429347 + 1. assign V093711 = V277335. assign V483963 = V960455. assign V349824 = V821197 + 1. assign V444153 = V500200 - 1. assign V821197 = V144337 + 1. assign V210640 = V198254. assign V040497 = V500200. assign V149064 = V166389. assign V907496 = V144337 + 1. assign V527436 = V821197 + 1. assign V749614 = V773071 + 1. assign V168755 = V785238. assign V995757 = V520426 - 1. assign V545876 = V821197 - 1. assign V871159 = V851854 - 1. assign V782773 = V520426 + 1. assign V785238 = V014874 + 1. assign V706489 = V299247 - 1. assign V293668 = V592595 + 1. assign V160040 = V770489 + 1. assign V116074 = V160040 + 1. assign V888723 = V209286. assign V253088 = V595001. assign V791456 = V619954 - 1. assign V103954 = V277335. assign V487357 = V657771 - 1. assign V619378 = V773500 + 1. assign V644452 = V034416 - 1. assign V330047 = V033778. assign V673222 = V444153. assign V239925 = V160040 - 1. assign V090845 = V240273. assign V483166 = V349824 + 1. assign V030150 = V626565. assign V982357 = V435605 + 1. assign V504379 = V982357. assign V302051 = V785059 + 1. assign V181324 = V635482. assign V599680 = V997492 - 1. assign V825041 = V950039. assign V715635 = V680080. assign V198254 = V995499 + 1. assign V513446 = V270962. assign V520426 = V033778 - 1. assign V926137 = V160040 - 1. assign V639696 = V723302 - 1. assign V417972 = V872802 - 1. assign V508664 = V450750 - 1. assign V883516 = V376182. assign V923117 = V644452 - 1. assign V358401 = V851854 - 1. assign V622791 = V703536. assign V534406 = V483963. assign V773500 = V144337 + 1. assign V773071 = V950039. assign V997492 = V527436. assign V995499 = V680080 + 1. assign V613659 = V985491 + 1. assign V657771 = V747524 + 1. assign V244078 = V635482 - 1. assign V643342 = V033778 + 1. assign V072901 = V534406 - 1. assign V960455 = V527436 - 1. assign V344720 = V599680 - 1. assign V420339 = V619378 - 1. assign V770489 = V144337. assign V517683 = V209286. assign V429347 = V534406 - 1. assign V472190 = V144337 - 1. assign V453348 = V626565 + 1. assign V126336 = V483166 + 1. assign V629105 = V703536 + 1. assign V056411 = V198254 + 1. assign V450750 = 7. assign V015843 = V175483 - 1. assign V638243 = V508126 - 1. assign V207855 = V770489 - 1. assign V594335 = V588139 - 1. assign V952573 = V122559 - 1. assign V619954 = V252476. assign V058801 = V613659. assign V588139 = V033778 - 1. assign V042761 = V483166. assign V831269 = V090845. assign V768863 = V443091 - 1. assign V148008 = V426731 - 1. assign V785059 = V821197 + 1. assign V277335 = V144337 - 1. assign V686576 = V520426. assign V839464 = V782773 - 1. assign V936407 = V657771. assign V301537 = V435605 + 1. assign V299247 = V546125 + 1. assign V122559 = V302051 - 1. assign V955730 = V594335 - 1. assign V950039 = V723302 + 1. assign V793107 = V635482. assign V034416 = V014874 - 1. assign V732653 = V785059. assign V985832 = V517683. assign V739668 = V144337 - 1. assign V787547 = V747524. assign V923067 = V950039. assign V218799 = V330047. assign V854603 = V144337 - 1. assign V426731 = V592595. assign V882196 = V950039 - 1. assign V009573 = V270962. assign V626565 = V872802 + 1. assign V635482 = V508126 - 1. assign V703536 = V534406. assign V315649 = V508126 + 1. assign V166389 = V613659 - 1. assign V408180 = V508126. assign V341742 = V907496. assign V025472 = V435605. assign V175483 = V103954 - 1. assign V376182 = V103954 + 1. assign V858373 = V635482 - 1. assign V510654 = V995757. assign V892146 = V831269. assign V546125 = V588139. assign V435605 = V635482 - 1. assign V965949 = V995499. assign V545560 = V858373. assign V209286 = V770489 - 1. assign V354238 = V166389 + 1. assign V723302 = V619378 - 1. assign V945317 = V778683. assign V252476 = V619378 - 1. assign V954266 = V315649 - 1. assign V186910 = V885826 - 1. assign V968011 = V420339 - 1. assign V925019 = V116074 - 1. assign V985491 = V270962. assign V675016 = V058801. assign V284435 = V341742 - 1. assign V255739 = V349824 - 1. assign V000588 = V352648 - 1. assign V778683 = V255739 - 1. assign V680080 = V508126 + 1. assign V872802 = V144337. assign V500200 = V207855 - 1. assign V582621 = V033778 + 1. assign V035821 = V680080 - 1. assign V352648 = V014874 - 1. assign V519359 = V651847 - 1. assign V014874 = V240273 + 1. assign V885826 = V926137 - 1. assign V799805 = V619954 - 1. assign V270962 = V770489 + 1. assign V595001 = V014874 + 1. assign V618878 = V888723 + 1. assign V443091 = V352648 + 1. assign V113323 = V181324. assign V651847 = V207855 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V851854 = V635482 - 1. assign V708741 = V634835 + 1. assign V747524 = V349824 + 1. assign V502761 = V349824 + 1. assign V150167 = V594335 + 1. assign V884181 = V594335 + 1. assign V592595 = V785059 - 1. assign V634835 = V293668 - 1. assign V033778 = V508126 + 1. assign V351431 = V252476 - 1. assign V834613 = V622791. assign V240273 = V160040 + 1. assign V050320 = V376182. assign V508126 = V144337. assign V513566 = V770489 - 1. assign V388432 = V429347 + 1. assign V093711 = V277335. assign V483963 = V960455. assign V349824 = V821197 + 1. assign V444153 = V500200 - 1. assign V821197 = V144337 + 1. assign V210640 = V198254. assign V040497 = V500200. assign V149064 = V166389. assign V907496 = V144337 + 1. assign V527436 = V821197 + 1. assign V749614 = V773071 + 1. assign V168755 = V785238. assign V995757 = V520426 - 1. assign V545876 = V821197 - 1. assign V871159 = V851854 - 1. assign V782773 = V520426 + 1. assign V785238 = V014874 + 1. assign V706489 = V299247 - 1. assign V293668 = V592595 + 1. assign V160040 = V770489 + 1. assign V116074 = V160040 + 1. assign V888723 = V209286. assign V253088 = V595001. assign V791456 = V619954 - 1. assign V103954 = V277335. assign V487357 = V657771 - 1. assign V619378 = V773500 + 1. assign V644452 = V034416 - 1. assign V330047 = V033778. assign V673222 = V444153. assign V239925 = V160040 - 1. assign V090845 = V240273. assign V483166 = V349824 + 1. assign V030150 = V626565. assign V982357 = V435605 + 1. assign V504379 = V982357. assign V302051 = V785059 + 1. assign V181324 = V635482. assign V599680 = V997492 - 1. assign V825041 = V950039. assign V715635 = V680080. assign V198254 = V995499 + 1. assign V513446 = V270962. assign V520426 = V033778 - 1. assign V926137 = V160040 - 1. assign V639696 = V723302 - 1. assign V417972 = V872802 - 1. assign V508664 = V450750 - 1. assign V883516 = V376182. assign V923117 = V644452 - 1. assign V358401 = V851854 - 1. assign V622791 = V703536. assign V534406 = V483963. assign V773500 = V144337 + 1. assign V773071 = V950039. assign V997492 = V527436. assign V995499 = V680080 + 1. assign V613659 = V985491 + 1. assign V657771 = V747524 + 1. assign V244078 = V635482 - 1. assign V643342 = V033778 + 1. assign V072901 = V534406 - 1. assign V960455 = V527436 - 1. assign V344720 = V599680 - 1. assign V420339 = V619378 - 1. assign V770489 = V144337. assign V517683 = V209286. assign V429347 = V534406 - 1. assign V472190 = V144337 - 1. assign V453348 = V626565 + 1. assign V126336 = V483166 + 1. assign V629105 = V703536 + 1. assign V056411 = V198254 + 1. assign V450750 = 7. assign V015843 = V175483 - 1. assign V638243 = V508126 - 1. assign V207855 = V770489 - 1. assign V594335 = V588139 - 1. assign V952573 = V122559 - 1. assign V619954 = V252476. assign V058801 = V613659. assign V588139 = V033778 - 1. assign V042761 = V483166. assign V831269 = V090845. assign V768863 = V443091 - 1. assign V148008 = V426731 - 1. assign V785059 = V821197 + 1. assign V277335 = V144337 - 1. assign V686576 = V520426. assign V839464 = V782773 - 1. assign V936407 = V657771. assign V301537 = V435605 + 1. assign V299247 = V546125 + 1. assign V122559 = V302051 - 1. assign V955730 = V594335 - 1. assign V950039 = V723302 + 1. assign V793107 = V635482. assign V034416 = V014874 - 1. assign V732653 = V785059. assign V985832 = V517683. assign V739668 = V144337 - 1. assign V787547 = V747524. assign V923067 = V950039. assign V218799 = V330047. assign V854603 = V144337 - 1. assign V426731 = V592595. assign V882196 = V950039 - 1. assign V009573 = V270962. assign V626565 = V872802 + 1. assign V635482 = V508126 - 1. assign V703536 = V534406. assign V315649 = V508126 + 1. assign V166389 = V613659 - 1. assign V408180 = V508126. assign V341742 = V907496. assign V025472 = V435605. assign V175483 = V103954 - 1. assign V376182 = V103954 + 1. assign V858373 = V635482 - 1. assign V510654 = V995757. assign V892146 = V831269. assign V546125 = V588139. assign V435605 = V635482 - 1. assign V965949 = V995499. assign V545560 = V858373. assign V209286 = V770489 - 1. assign V354238 = V166389 + 1. assign V723302 = V619378 - 1. assign V945317 = V778683. assign V252476 = V619378 - 1. assign V954266 = V315649 - 1. assign V186910 = V885826 - 1. assign V968011 = V420339 - 1. assign V925019 = V116074 - 1. assign V985491 = V270962. assign V675016 = V058801. assign V284435 = V341742 - 1. assign V255739 = V349824 - 1. assign V000588 = V352648 - 1. assign V778683 = V255739 - 1. assign V680080 = V508126 + 1. assign V872802 = V144337. assign V500200 = V207855 - 1. assign V582621 = V033778 + 1. assign V035821 = V680080 - 1. assign V352648 = V014874 - 1. assign V519359 = V651847 - 1. assign V014874 = V240273 + 1. assign V885826 = V926137 - 1. assign V799805 = V619954 - 1. assign V270962 = V770489 + 1. assign V595001 = V014874 + 1. assign V618878 = V888723 + 1. assign V443091 = V352648 + 1. assign V113323 = V181324. assign V651847 = V207855 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV450750 = 7;\n\nFrom these direct assignment(s), we have: \nV508664 = V450750 - 1 = 7 - 1 =6;\nNo other variables can be derived from V508664;\nNo other variables can be derived from V450750;\n\nNow we have done all the calculations. Derived variables are:\nV450750 = 7;\nV508664 = 6;\n\nNow we have finished this problem. ANSWER:\nV450750\n", "role": "assistant" } ]

[ "V196194" ]

[ { "content": "<context>\nassign V433257 = V846218. assign V626767 = V632303. assign V080360 = V498874 + 1. assign V893607 = V533857 - 1. assign V590729 = V750319. assign V887366 = V619728. assign V877371 = V838159. assign V861097 = V710823 + 1. assign V455159 = V885478. assign V817458 = V056707. assign V827905 = V051764 - 1. assign V107482 = V159307. assign V589172 = V009739 + 1. assign V684731 = V483097 - 1. assign V419387 = V374792 - 1. assign V327582 = V861097. assign V725089 = 1. assign V829352 = V251342. assign V909152 = V596243 - 1. assign V939021 = V498874 - 1. assign V842857 = V101176 + 1. assign V869898 = V902266. assign V774743 = V202727 + 1. assign V841388 = V054835 - 1. assign V644139 = V088949 + 1. assign V051764 = V774006 - 1. assign V995021 = V665716 - 1. assign V211978 = V750319 - 1. assign V251342 = V841858 + 1. assign V567171 = V255680 + 1. assign V812759 = V337350 - 1. assign V044346 = V939541. assign V752726 = V374734. assign V255680 = V688233 + 1. assign V162693 = V929744 - 1. assign V643440 = V774006 + 1. assign V064344 = V012950 - 1. assign V639077 = V337350 + 1. assign V197447 = V710823 + 1. assign V435823 = V051764 + 1. assign V196194 = V725089 + 1. assign V478471 = V144941. assign V591626 = V337350 + 1. assign V788086 = V861097 + 1. assign V926824 = V419387. assign V484509 = V827905 - 1. assign V337350 = V374792. assign V028941 = V054835 - 1. assign V677135 = V378881. assign V544413 = V058825. assign V373737 = V665716 + 1. assign V202727 = V337930. assign V710823 = V596243. assign V144941 = V379296 - 1. assign V948822 = V957375 - 1. assign V665716 = V337930. assign V140519 = V852230. assign V374734 = V827905. assign V108179 = V247573. assign V186824 = V848675. assign V502118 = V944106 + 1. assign V881091 = V171981. assign V247573 = V711154. assign V710303 = V211978 - 1. assign V850141 = V688233. assign V671863 = V009739. assign V957375 = V374792. assign V559698 = V374792. assign V740314 = V545275. assign V718496 = V012950 - 1. assign V829485 = V451842. assign V748855 = V379296. assign V952703 = V885478. assign V865451 = V255680 - 1. assign V632303 = V944106 - 1. assign V552035 = V374792 - 1. assign V289317 = V799164 + 1. assign V211918 = V175647 - 1. assign V688233 = V618072 + 1. assign V265128 = V788086 + 1. assign V737284 = V774006 + 1. assign V790585 = V838159 + 1. assign V226864 = V552035. assign V656104 = V533857. assign V605201 = V337930. assign V545275 = V902266 - 1. assign V491543 = V740314 + 1. assign V175647 = V829485 + 1. assign V004608 = V550724 - 1. assign V056707 = V012950 - 1. assign V537478 = V671032. assign V612523 = V028941. assign V400784 = V944106. assign V936834 = V929744 - 1. assign V012950 = V902266. assign V493754 = V952703. assign V323475 = V144941. assign V939541 = V902266 - 1. assign V720172 = V841388 + 1. assign V838159 = V952703 + 1. assign V852230 = V374792 - 1. assign V723832 = V327582 - 1. assign V750319 = V997786. assign V497889 = V525179 - 1. assign V202988 = V064344 - 1. assign V088949 = V829352 - 1. assign V750417 = V605201 + 1. assign V062578 = V817458 - 1. assign V638741 = V247573 - 1. assign V626082 = V625458 - 1. assign V171981 = V619728 - 1. assign V371664 = V819272. assign V846218 = V056707 - 1. assign V058825 = V337930. assign V451842 = V812759 + 1. assign V902266 = V374792 - 1. assign V550724 = V012950 - 1. assign V250941 = V451842 - 1. assign V440824 = V202727 + 1. assign V957088 = V064344 + 1. assign V402867 = V799141 + 1. assign V137531 = V926824 - 1. assign V292150 = V842857 - 1. assign V774006 = V374792 + 1. assign V054835 = V101176. assign V630099 = V451842 - 1. assign V958222 = V537478 + 1. assign V848675 = V247573. assign V997786 = V202727. assign V211325 = V144941 + 1. assign V819272 = V419387 - 1. assign V337930 = V054835 - 1. assign V478001 = V591626 - 1. assign V841858 = V671032. assign V533857 = V939541 + 1. assign V498874 = V028941 - 1. assign V007890 = V525179. assign V929744 = V619728. assign V944106 = V619728 - 1. assign V228145 = V790585 + 1. assign V378881 = V711154 - 1. assign V470855 = V272018. assign V748509 = V323175 + 1. assign V671032 = V064344. assign V217206 = V247573 + 1. assign V321638 = V433257 - 1. assign V894516 = V012950 + 1. assign V101176 = V451842. assign V619728 = V902266 + 1. assign V606326 = V470855 - 1. assign V272018 = V140519. assign V379296 = V774006 + 1. assign V525179 = V251342. assign V493597 = V217206 - 1. assign V350567 = V799141 + 1. assign V514874 = V842857 + 1. assign V618072 = V774006 + 1. assign V711154 = V064344 + 1. assign V009739 = V774006 - 1. assign V851901 = V327582. assign V885478 = V944106. assign V323175 = V852230 + 1. assign V799164 = V337930. assign V625458 = V619728. assign V483097 = V400784 - 1. assign V700733 = V374792 + 1. assign V596243 = V051764. assign V799141 = V665716. assign V159307 = V483097. assign V994223 = V838159 + 1. assign V759727 = V323175 + 1. assign V898808 = V088949 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V433257 = V846218. assign V626767 = V632303. assign V080360 = V498874 + 1. assign V893607 = V533857 - 1. assign V590729 = V750319. assign V887366 = V619728. assign V877371 = V838159. assign V861097 = V710823 + 1. assign V455159 = V885478. assign V817458 = V056707. assign V827905 = V051764 - 1. assign V107482 = V159307. assign V589172 = V009739 + 1. assign V684731 = V483097 - 1. assign V419387 = V374792 - 1. assign V327582 = V861097. assign V725089 = 1. assign V829352 = V251342. assign V909152 = V596243 - 1. assign V939021 = V498874 - 1. assign V842857 = V101176 + 1. assign V869898 = V902266. assign V774743 = V202727 + 1. assign V841388 = V054835 - 1. assign V644139 = V088949 + 1. assign V051764 = V774006 - 1. assign V995021 = V665716 - 1. assign V211978 = V750319 - 1. assign V251342 = V841858 + 1. assign V567171 = V255680 + 1. assign V812759 = V337350 - 1. assign V044346 = V939541. assign V752726 = V374734. assign V255680 = V688233 + 1. assign V162693 = V929744 - 1. assign V643440 = V774006 + 1. assign V064344 = V012950 - 1. assign V639077 = V337350 + 1. assign V197447 = V710823 + 1. assign V435823 = V051764 + 1. assign V196194 = V725089 + 1. assign V478471 = V144941. assign V591626 = V337350 + 1. assign V788086 = V861097 + 1. assign V926824 = V419387. assign V484509 = V827905 - 1. assign V337350 = V374792. assign V028941 = V054835 - 1. assign V677135 = V378881. assign V544413 = V058825. assign V373737 = V665716 + 1. assign V202727 = V337930. assign V710823 = V596243. assign V144941 = V379296 - 1. assign V948822 = V957375 - 1. assign V665716 = V337930. assign V140519 = V852230. assign V374734 = V827905. assign V108179 = V247573. assign V186824 = V848675. assign V502118 = V944106 + 1. assign V881091 = V171981. assign V247573 = V711154. assign V710303 = V211978 - 1. assign V850141 = V688233. assign V671863 = V009739. assign V957375 = V374792. assign V559698 = V374792. assign V740314 = V545275. assign V718496 = V012950 - 1. assign V829485 = V451842. assign V748855 = V379296. assign V952703 = V885478. assign V865451 = V255680 - 1. assign V632303 = V944106 - 1. assign V552035 = V374792 - 1. assign V289317 = V799164 + 1. assign V211918 = V175647 - 1. assign V688233 = V618072 + 1. assign V265128 = V788086 + 1. assign V737284 = V774006 + 1. assign V790585 = V838159 + 1. assign V226864 = V552035. assign V656104 = V533857. assign V605201 = V337930. assign V545275 = V902266 - 1. assign V491543 = V740314 + 1. assign V175647 = V829485 + 1. assign V004608 = V550724 - 1. assign V056707 = V012950 - 1. assign V537478 = V671032. assign V612523 = V028941. assign V400784 = V944106. assign V936834 = V929744 - 1. assign V012950 = V902266. assign V493754 = V952703. assign V323475 = V144941. assign V939541 = V902266 - 1. assign V720172 = V841388 + 1. assign V838159 = V952703 + 1. assign V852230 = V374792 - 1. assign V723832 = V327582 - 1. assign V750319 = V997786. assign V497889 = V525179 - 1. assign V202988 = V064344 - 1. assign V088949 = V829352 - 1. assign V750417 = V605201 + 1. assign V062578 = V817458 - 1. assign V638741 = V247573 - 1. assign V626082 = V625458 - 1. assign V171981 = V619728 - 1. assign V371664 = V819272. assign V846218 = V056707 - 1. assign V058825 = V337930. assign V451842 = V812759 + 1. assign V902266 = V374792 - 1. assign V550724 = V012950 - 1. assign V250941 = V451842 - 1. assign V440824 = V202727 + 1. assign V957088 = V064344 + 1. assign V402867 = V799141 + 1. assign V137531 = V926824 - 1. assign V292150 = V842857 - 1. assign V774006 = V374792 + 1. assign V054835 = V101176. assign V630099 = V451842 - 1. assign V958222 = V537478 + 1. assign V848675 = V247573. assign V997786 = V202727. assign V211325 = V144941 + 1. assign V819272 = V419387 - 1. assign V337930 = V054835 - 1. assign V478001 = V591626 - 1. assign V841858 = V671032. assign V533857 = V939541 + 1. assign V498874 = V028941 - 1. assign V007890 = V525179. assign V929744 = V619728. assign V944106 = V619728 - 1. assign V228145 = V790585 + 1. assign V378881 = V711154 - 1. assign V470855 = V272018. assign V748509 = V323175 + 1. assign V671032 = V064344. assign V217206 = V247573 + 1. assign V321638 = V433257 - 1. assign V894516 = V012950 + 1. assign V101176 = V451842. assign V619728 = V902266 + 1. assign V606326 = V470855 - 1. assign V272018 = V140519. assign V379296 = V774006 + 1. assign V525179 = V251342. assign V493597 = V217206 - 1. assign V350567 = V799141 + 1. assign V514874 = V842857 + 1. assign V618072 = V774006 + 1. assign V711154 = V064344 + 1. assign V009739 = V774006 - 1. assign V851901 = V327582. assign V885478 = V944106. assign V323175 = V852230 + 1. assign V799164 = V337930. assign V625458 = V619728. assign V483097 = V400784 - 1. assign V700733 = V374792 + 1. assign V596243 = V051764. assign V799141 = V665716. assign V159307 = V483097. assign V994223 = V838159 + 1. assign V759727 = V323175 + 1. assign V898808 = V088949 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV725089 = 1;\n\nFrom these direct assignment(s), we have: \nV196194 = V725089 + 1 = 1 + 1 =2;\nNo other variables can be derived from V196194;\nNo other variables can be derived from V725089;\n\nNow we have done all the calculations. Derived variables are:\nV725089 = 1;\nV196194 = 2;\n\nNow we have finished this problem. ANSWER:\nV196194\n", "role": "assistant" } ]

[ "V705621" ]

[ { "content": "<context>\nassign V018355 = V425391 + 1. assign V017806 = V899128. assign V705621 = V791784 - 1. assign V512990 = V949157 - 1. assign V588953 = V841209. assign V423437 = V045270 + 1. assign V399567 = V045270 + 1. assign V420178 = V143208 + 1. assign V191555 = V638019 + 1. assign V572186 = V621403 - 1. assign V609724 = V399567 + 1. assign V711688 = V736666 + 1. assign V811926 = V436803 + 1. assign V587695 = V501327 + 1. assign V190507 = V390859 + 1. assign V554586 = V630409. assign V626062 = V216699. assign V859279 = V994882 - 1. assign V049592 = V791419 + 1. assign V222956 = V919049 + 1. assign V815314 = V906253 + 1. assign V895175 = V425802 + 1. assign V239976 = V271206. assign V780337 = V819495 - 1. assign V243722 = V841209. assign V707732 = V618240 + 1. assign V551563 = V499058. assign V663446 = V081178. assign V053459 = V487857 + 1. assign V950334 = V154476 + 1. assign V136760 = V811926 - 1. assign V233074 = V309263. assign V670641 = V045270. assign V801651 = V929668 + 1. assign V955611 = V669751 - 1. assign V016238 = V920180. assign V845537 = V425802 - 1. assign V114865 = V546123. assign V119698 = V906253 + 1. assign V618240 = V884862. assign V919049 = V679192 - 1. assign V841209 = V274614 + 1. assign V487245 = V669751 + 1. assign V035805 = V083264. assign V669751 = V169333. assign V501327 = V142360. assign V899128 = V119698 + 1. assign V373608 = V399198. assign V819495 = V136760 + 1. assign V702804 = V262968 + 1. assign V300015 = V662472 + 1. assign V949157 = V242927 + 1. assign V977529 = V399567 - 1. assign V042685 = V390859 + 1. assign V436803 = V242927 - 1. assign V143208 = V045270 + 1. assign V125628 = V442322. assign V399198 = V736666. assign V621403 = V899128 + 1. assign V067864 = V341698 - 1. assign V657220 = V949157 + 1. assign V414100 = V045270 + 1. assign V636931 = V841209 - 1. assign V713622 = V190507. assign V376179 = V274614. assign V012617 = V657989 - 1. assign V658345 = V399198. assign V843623 = V078167 - 1. assign V390859 = V399567 - 1. assign V442322 = V012617 + 1. assign V556958 = V371726 - 1. assign V906253 = V242927 + 1. assign V092023 = V078167. assign V888797 = V884862. assign V915845 = V713622. assign V546123 = V436803 + 1. assign V679192 = V119698 + 1. assign V630409 = V791419. assign V265086 = V190507 - 1. assign V920180 = V906253 + 1. assign V749053 = V546123. assign V183141 = V734739 + 1. assign V558429 = V638019 - 1. assign V573724 = V423437. assign V487857 = V884862 - 1. assign V055528 = V442322 - 1. assign V322461 = V436803 - 1. assign V521142 = V436803. assign V303926 = V436803. assign V446302 = V551257. assign V770043 = V940433. assign V590696 = V322461 - 1. assign V500192 = V780337 + 1. assign V297727 = V432974 + 1. assign V662472 = V169333 + 1. assign V242927 = V045270 - 1. assign V110429 = V670641. assign V826660 = V657989 + 1. assign V585814 = V657989 + 1. assign V271206 = V884862 - 1. assign V884862 = V045270 - 1. assign V098539 = V707732 + 1. assign V827287 = V845537. assign V153768 = V399567 - 1. assign V847516 = V841209 + 1. assign V566576 = V286505 - 1. assign V929668 = V102275 - 1. assign V081178 = V110429 + 1. assign V551257 = V142360 + 1. assign V218849 = V274614 - 1. assign V216699 = V271206 + 1. assign V499058 = V399567. assign V877965 = V819495 + 1. assign V454022 = V815314 + 1. assign V737222 = V373608 - 1. assign V006869 = V292841. assign V962096 = V525864 + 1. assign V194081 = V218849. assign V828812 = V341698. assign V104038 = V216699. assign V966849 = V119698 - 1. assign V233604 = V828812. assign V153491 = V297727 + 1. assign V387772 = V572186. assign V734739 = V490597. assign V425391 = V063760 + 1. assign V186530 = V242927 - 1. assign V425802 = V499058. assign V262968 = V425391 + 1. assign V490597 = V899128 - 1. assign V217522 = V791419 - 1. assign V558728 = V847516 - 1. assign V807574 = V587695 + 1. assign V736666 = V216699. assign V341698 = V949157 - 1. assign V507287 = V679192 - 1. assign V335860 = V811926 - 1. assign V078167 = V572186 + 1. assign V169333 = V399567 + 1. assign V525864 = V081178 - 1. assign V303073 = V841209 - 1. assign V806319 = V274614 + 1. assign V811211 = V012617 + 1. assign V657989 = V045270. assign V292841 = V390859 - 1. assign V432974 = V072896. assign V274614 = V045270. assign V025342 = V045270 + 1. assign V994882 = V371726. assign V791419 = V811926 + 1. assign V638019 = V658345 + 1. assign V640843 = V262968 + 1. assign V791784 = 3. assign V870039 = V341698. assign V755473 = V425391 + 1. assign V286505 = V940433. assign V142360 = V669751 + 1. assign V309263 = V906253 + 1. assign V102275 = V436803 - 1. assign V371726 = V274614. assign V244425 = V063760 + 1. assign V617613 = V590696. assign V072896 = V373608 - 1. assign V940433 = V888797. assign V656434 = V243722 + 1. assign V595327 = V994882. assign V154476 = V425391. assign V645555 = V143208. assign V415970 = V884862 - 1. assign V063760 = V274614 + 1. assign V083264 = V640843. assign V556040 = V216699 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V018355 = V425391 + 1. assign V017806 = V899128. assign V705621 = V791784 - 1. assign V512990 = V949157 - 1. assign V588953 = V841209. assign V423437 = V045270 + 1. assign V399567 = V045270 + 1. assign V420178 = V143208 + 1. assign V191555 = V638019 + 1. assign V572186 = V621403 - 1. assign V609724 = V399567 + 1. assign V711688 = V736666 + 1. assign V811926 = V436803 + 1. assign V587695 = V501327 + 1. assign V190507 = V390859 + 1. assign V554586 = V630409. assign V626062 = V216699. assign V859279 = V994882 - 1. assign V049592 = V791419 + 1. assign V222956 = V919049 + 1. assign V815314 = V906253 + 1. assign V895175 = V425802 + 1. assign V239976 = V271206. assign V780337 = V819495 - 1. assign V243722 = V841209. assign V707732 = V618240 + 1. assign V551563 = V499058. assign V663446 = V081178. assign V053459 = V487857 + 1. assign V950334 = V154476 + 1. assign V136760 = V811926 - 1. assign V233074 = V309263. assign V670641 = V045270. assign V801651 = V929668 + 1. assign V955611 = V669751 - 1. assign V016238 = V920180. assign V845537 = V425802 - 1. assign V114865 = V546123. assign V119698 = V906253 + 1. assign V618240 = V884862. assign V919049 = V679192 - 1. assign V841209 = V274614 + 1. assign V487245 = V669751 + 1. assign V035805 = V083264. assign V669751 = V169333. assign V501327 = V142360. assign V899128 = V119698 + 1. assign V373608 = V399198. assign V819495 = V136760 + 1. assign V702804 = V262968 + 1. assign V300015 = V662472 + 1. assign V949157 = V242927 + 1. assign V977529 = V399567 - 1. assign V042685 = V390859 + 1. assign V436803 = V242927 - 1. assign V143208 = V045270 + 1. assign V125628 = V442322. assign V399198 = V736666. assign V621403 = V899128 + 1. assign V067864 = V341698 - 1. assign V657220 = V949157 + 1. assign V414100 = V045270 + 1. assign V636931 = V841209 - 1. assign V713622 = V190507. assign V376179 = V274614. assign V012617 = V657989 - 1. assign V658345 = V399198. assign V843623 = V078167 - 1. assign V390859 = V399567 - 1. assign V442322 = V012617 + 1. assign V556958 = V371726 - 1. assign V906253 = V242927 + 1. assign V092023 = V078167. assign V888797 = V884862. assign V915845 = V713622. assign V546123 = V436803 + 1. assign V679192 = V119698 + 1. assign V630409 = V791419. assign V265086 = V190507 - 1. assign V920180 = V906253 + 1. assign V749053 = V546123. assign V183141 = V734739 + 1. assign V558429 = V638019 - 1. assign V573724 = V423437. assign V487857 = V884862 - 1. assign V055528 = V442322 - 1. assign V322461 = V436803 - 1. assign V521142 = V436803. assign V303926 = V436803. assign V446302 = V551257. assign V770043 = V940433. assign V590696 = V322461 - 1. assign V500192 = V780337 + 1. assign V297727 = V432974 + 1. assign V662472 = V169333 + 1. assign V242927 = V045270 - 1. assign V110429 = V670641. assign V826660 = V657989 + 1. assign V585814 = V657989 + 1. assign V271206 = V884862 - 1. assign V884862 = V045270 - 1. assign V098539 = V707732 + 1. assign V827287 = V845537. assign V153768 = V399567 - 1. assign V847516 = V841209 + 1. assign V566576 = V286505 - 1. assign V929668 = V102275 - 1. assign V081178 = V110429 + 1. assign V551257 = V142360 + 1. assign V218849 = V274614 - 1. assign V216699 = V271206 + 1. assign V499058 = V399567. assign V877965 = V819495 + 1. assign V454022 = V815314 + 1. assign V737222 = V373608 - 1. assign V006869 = V292841. assign V962096 = V525864 + 1. assign V194081 = V218849. assign V828812 = V341698. assign V104038 = V216699. assign V966849 = V119698 - 1. assign V233604 = V828812. assign V153491 = V297727 + 1. assign V387772 = V572186. assign V734739 = V490597. assign V425391 = V063760 + 1. assign V186530 = V242927 - 1. assign V425802 = V499058. assign V262968 = V425391 + 1. assign V490597 = V899128 - 1. assign V217522 = V791419 - 1. assign V558728 = V847516 - 1. assign V807574 = V587695 + 1. assign V736666 = V216699. assign V341698 = V949157 - 1. assign V507287 = V679192 - 1. assign V335860 = V811926 - 1. assign V078167 = V572186 + 1. assign V169333 = V399567 + 1. assign V525864 = V081178 - 1. assign V303073 = V841209 - 1. assign V806319 = V274614 + 1. assign V811211 = V012617 + 1. assign V657989 = V045270. assign V292841 = V390859 - 1. assign V432974 = V072896. assign V274614 = V045270. assign V025342 = V045270 + 1. assign V994882 = V371726. assign V791419 = V811926 + 1. assign V638019 = V658345 + 1. assign V640843 = V262968 + 1. assign V791784 = 3. assign V870039 = V341698. assign V755473 = V425391 + 1. assign V286505 = V940433. assign V142360 = V669751 + 1. assign V309263 = V906253 + 1. assign V102275 = V436803 - 1. assign V371726 = V274614. assign V244425 = V063760 + 1. assign V617613 = V590696. assign V072896 = V373608 - 1. assign V940433 = V888797. assign V656434 = V243722 + 1. assign V595327 = V994882. assign V154476 = V425391. assign V645555 = V143208. assign V415970 = V884862 - 1. assign V063760 = V274614 + 1. assign V083264 = V640843. assign V556040 = V216699 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV791784 = 3;\n\nFrom these direct assignment(s), we have: \nV705621 = V791784 - 1 = 3 - 1 =2;\nNo other variables can be derived from V705621;\nNo other variables can be derived from V791784;\n\nNow we have done all the calculations. Derived variables are:\nV791784 = 3;\nV705621 = 2;\n\nNow we have finished this problem. ANSWER:\nV705621\n", "role": "assistant" } ]

[ "V084232", "V461954" ]

[ { "content": "<context>\nassign V542822 = V413982 + 1. assign V938543 = V064244 + 1. assign V632239 = V813765. assign V917361 = V403816 + 1. assign V679616 = V080885 - 1. assign V943571 = V851948 + 1. assign V191808 = V060085 - 1. assign V084232 = 8. assign V767521 = V834812. assign V046548 = V851948 - 1. assign V222684 = V771794 + 1. assign V827777 = V044892 - 1. assign V109447 = V413982 + 1. assign V594890 = V452027 + 1. assign V834812 = V078436. assign V020527 = V362794 - 1. assign V088383 = V078436 - 1. assign V586209 = V500439 - 1. assign V715217 = V946149 + 1. assign V576652 = V212990 + 1. assign V532695 = V044892 + 1. assign V834485 = V428408 - 1. assign V133267 = V931643 - 1. assign V692321 = V262603 - 1. assign V134785 = V694051 - 1. assign V567983 = V796902 + 1. assign V476583 = V946149. assign V212990 = V726179 + 1. assign V826211 = V037174. assign V897160 = V191808. assign V931643 = V212990 + 1. assign V973619 = V679616 + 1. assign V519027 = V421643 + 1. assign V694051 = V058189 - 1. assign V872153 = V064244 + 1. assign V780758 = V413982 + 1. assign V834444 = V133102. assign V138181 = V834812 - 1. assign V607999 = V111731. assign V369936 = V881546 - 1. assign V037174 = V834444 - 1. assign V952733 = V938543 - 1. assign V956570 = V744817 + 1. assign V896856 = V881546 + 1. assign V868703 = V111731 - 1. assign V794453 = V952733. assign V946149 = V692321 - 1. assign V345698 = V755265 + 1. assign V372623 = V388131. assign V461954 = V084232. assign V247853 = V182869 - 1. assign V219076 = V071029 - 1. assign V472500 = V262603 - 1. assign V179370 = V260922 - 1. assign V048297 = V541091 + 1. assign V403911 = V989238 + 1. assign V214951 = V388131. assign V851948 = V212990. assign V080885 = V589903 + 1. assign V977396 = V525952 + 1. assign V531329 = V307065 + 1. assign V193117 = V103288 - 1. assign V552152 = V589903. assign V912787 = V058189. assign V406068 = V472500 + 1. assign V078436 = V589903 - 1. assign V361836 = V766179. assign V283005 = V692321. assign V016832 = V369936 + 1. assign V058189 = V682416. assign V071029 = V060085. assign V096557 = V596579 - 1. assign V133102 = V682416 - 1. assign V813765 = V679616. assign V001879 = V216657 + 1. assign V601895 = V764136 - 1. assign V216657 = V428408 - 1. assign V607283 = V931643. assign V736297 = V428408 - 1. assign V419448 = V851948. assign V082393 = V222684 + 1. assign V017466 = V216657 + 1. assign V268867 = V345698 + 1. assign V518566 = V044892 + 1. assign V881546 = V692321. assign V410743 = V926456. assign V670901 = V761310 + 1. assign V729827 = V283005. assign V211110 = V344479. assign V158627 = V692321 + 1. assign V263934 = V541091. assign V556626 = V218594. assign V218594 = V679616 - 1. assign V943391 = V260922 - 1. assign V764136 = V618876 + 1. assign V755265 = V214951. assign V610898 = V372623 + 1. assign V716118 = V193117 + 1. assign V712956 = V594890 + 1. assign V781307 = V133102 - 1. assign V280323 = V058189. assign V354112 = V284455 + 1. assign V861773 = V552152 + 1. assign V262603 = V589903 + 1. assign V656711 = V216657 - 1. assign V766179 = V472500. assign V192274 = V618876. assign V044892 = V692321. assign V103288 = V834485. assign V626487 = V902670 + 1. assign V663446 = V071029 - 1. assign V421643 = V834485 - 1. assign V562802 = V692321 + 1. assign V296567 = V694051 - 1. assign V526702 = V632239 + 1. assign V902670 = V472500. assign V541168 = V219036. assign V403816 = V834485 - 1. assign V452027 = V472500. assign V194129 = V372623 + 1. assign V866418 = V410743 - 1. assign V726179 = V298451 + 1. assign V219036 = V618876 + 1. assign V521129 = V194129 - 1. assign V388131 = V692321. assign V596579 = V744817 + 1. assign V699815 = V413982 - 1. assign V512153 = V263934. assign V082707 = V946149 + 1. assign V525952 = V017466 - 1. assign V241349 = V556451 - 1. assign V766317 = V552152 - 1. assign V060085 = V541091 + 1. assign V413982 = V088383 - 1. assign V854102 = V542822 + 1. assign V744817 = V656711 - 1. assign V344479 = V912787 - 1. assign V111731 = V421643. assign V618876 = V552152 - 1. assign V383772 = V082707 + 1. assign V428408 = V212990. assign V978181 = V216657 + 1. assign V989238 = V834485. assign V115571 = V428408. assign V682416 = V212990 - 1. assign V443370 = V194129. assign V500439 = V682416 + 1. assign V761310 = V262603. assign V064244 = V298451 - 1. assign V796902 = V115571 + 1. assign V771794 = V881546 + 1. assign V206050 = V562802 - 1. assign V298451 = V589903 - 1. assign V182869 = V872153. assign V489301 = V133102. assign V362794 = V060085. assign V853418 = V500439 - 1. assign V691513 = V298451. assign V804726 = V283005 - 1. assign V307065 = V078436. assign V964517 = V589903. assign V541091 = V589903. assign V135549 = V410743 + 1. assign V284455 = V694051. assign V051534 = V682416. assign V926456 = V088383 + 1. assign V556451 = V060085 + 1. assign V048818 = V058189. assign V260922 = V881546. assign V099553 = V626487 - 1. assign V042796 = V726179 + 1. assign V681506 = V109447 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V542822 = V413982 + 1. assign V938543 = V064244 + 1. assign V632239 = V813765. assign V917361 = V403816 + 1. assign V679616 = V080885 - 1. assign V943571 = V851948 + 1. assign V191808 = V060085 - 1. assign V084232 = 8. assign V767521 = V834812. assign V046548 = V851948 - 1. assign V222684 = V771794 + 1. assign V827777 = V044892 - 1. assign V109447 = V413982 + 1. assign V594890 = V452027 + 1. assign V834812 = V078436. assign V020527 = V362794 - 1. assign V088383 = V078436 - 1. assign V586209 = V500439 - 1. assign V715217 = V946149 + 1. assign V576652 = V212990 + 1. assign V532695 = V044892 + 1. assign V834485 = V428408 - 1. assign V133267 = V931643 - 1. assign V692321 = V262603 - 1. assign V134785 = V694051 - 1. assign V567983 = V796902 + 1. assign V476583 = V946149. assign V212990 = V726179 + 1. assign V826211 = V037174. assign V897160 = V191808. assign V931643 = V212990 + 1. assign V973619 = V679616 + 1. assign V519027 = V421643 + 1. assign V694051 = V058189 - 1. assign V872153 = V064244 + 1. assign V780758 = V413982 + 1. assign V834444 = V133102. assign V138181 = V834812 - 1. assign V607999 = V111731. assign V369936 = V881546 - 1. assign V037174 = V834444 - 1. assign V952733 = V938543 - 1. assign V956570 = V744817 + 1. assign V896856 = V881546 + 1. assign V868703 = V111731 - 1. assign V794453 = V952733. assign V946149 = V692321 - 1. assign V345698 = V755265 + 1. assign V372623 = V388131. assign V461954 = V084232. assign V247853 = V182869 - 1. assign V219076 = V071029 - 1. assign V472500 = V262603 - 1. assign V179370 = V260922 - 1. assign V048297 = V541091 + 1. assign V403911 = V989238 + 1. assign V214951 = V388131. assign V851948 = V212990. assign V080885 = V589903 + 1. assign V977396 = V525952 + 1. assign V531329 = V307065 + 1. assign V193117 = V103288 - 1. assign V552152 = V589903. assign V912787 = V058189. assign V406068 = V472500 + 1. assign V078436 = V589903 - 1. assign V361836 = V766179. assign V283005 = V692321. assign V016832 = V369936 + 1. assign V058189 = V682416. assign V071029 = V060085. assign V096557 = V596579 - 1. assign V133102 = V682416 - 1. assign V813765 = V679616. assign V001879 = V216657 + 1. assign V601895 = V764136 - 1. assign V216657 = V428408 - 1. assign V607283 = V931643. assign V736297 = V428408 - 1. assign V419448 = V851948. assign V082393 = V222684 + 1. assign V017466 = V216657 + 1. assign V268867 = V345698 + 1. assign V518566 = V044892 + 1. assign V881546 = V692321. assign V410743 = V926456. assign V670901 = V761310 + 1. assign V729827 = V283005. assign V211110 = V344479. assign V158627 = V692321 + 1. assign V263934 = V541091. assign V556626 = V218594. assign V218594 = V679616 - 1. assign V943391 = V260922 - 1. assign V764136 = V618876 + 1. assign V755265 = V214951. assign V610898 = V372623 + 1. assign V716118 = V193117 + 1. assign V712956 = V594890 + 1. assign V781307 = V133102 - 1. assign V280323 = V058189. assign V354112 = V284455 + 1. assign V861773 = V552152 + 1. assign V262603 = V589903 + 1. assign V656711 = V216657 - 1. assign V766179 = V472500. assign V192274 = V618876. assign V044892 = V692321. assign V103288 = V834485. assign V626487 = V902670 + 1. assign V663446 = V071029 - 1. assign V421643 = V834485 - 1. assign V562802 = V692321 + 1. assign V296567 = V694051 - 1. assign V526702 = V632239 + 1. assign V902670 = V472500. assign V541168 = V219036. assign V403816 = V834485 - 1. assign V452027 = V472500. assign V194129 = V372623 + 1. assign V866418 = V410743 - 1. assign V726179 = V298451 + 1. assign V219036 = V618876 + 1. assign V521129 = V194129 - 1. assign V388131 = V692321. assign V596579 = V744817 + 1. assign V699815 = V413982 - 1. assign V512153 = V263934. assign V082707 = V946149 + 1. assign V525952 = V017466 - 1. assign V241349 = V556451 - 1. assign V766317 = V552152 - 1. assign V060085 = V541091 + 1. assign V413982 = V088383 - 1. assign V854102 = V542822 + 1. assign V744817 = V656711 - 1. assign V344479 = V912787 - 1. assign V111731 = V421643. assign V618876 = V552152 - 1. assign V383772 = V082707 + 1. assign V428408 = V212990. assign V978181 = V216657 + 1. assign V989238 = V834485. assign V115571 = V428408. assign V682416 = V212990 - 1. assign V443370 = V194129. assign V500439 = V682416 + 1. assign V761310 = V262603. assign V064244 = V298451 - 1. assign V796902 = V115571 + 1. assign V771794 = V881546 + 1. assign V206050 = V562802 - 1. assign V298451 = V589903 - 1. assign V182869 = V872153. assign V489301 = V133102. assign V362794 = V060085. assign V853418 = V500439 - 1. assign V691513 = V298451. assign V804726 = V283005 - 1. assign V307065 = V078436. assign V964517 = V589903. assign V541091 = V589903. assign V135549 = V410743 + 1. assign V284455 = V694051. assign V051534 = V682416. assign V926456 = V088383 + 1. assign V556451 = V060085 + 1. assign V048818 = V058189. assign V260922 = V881546. assign V099553 = V626487 - 1. assign V042796 = V726179 + 1. assign V681506 = V109447 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV084232 = 8;\n\nFrom these direct assignment(s), we have: \nV461954 = V084232 = 8;\nNo other variables can be derived from V461954;\nNo other variables can be derived from V084232;\n\nNow we have done all the calculations. Derived variables are:\nV084232 = 8;\nV461954 = 8;\n\nNow we have finished this problem. ANSWER:\nV084232, V461954\n", "role": "assistant" } ]

[ "V210710", "V589036" ]

[ { "content": "<context>\nassign V013937 = V538941. assign V128685 = V939865 + 1. assign V400902 = V367819 + 1. assign V564126 = V030568 + 1. assign V072323 = V263146 + 1. assign V442693 = V198378. assign V803811 = V893569. assign V422674 = V235473. assign V430181 = V743630 - 1. assign V907570 = V517961 + 1. assign V108372 = V282765 - 1. assign V977442 = V933158 - 1. assign V319044 = V442693 + 1. assign V456385 = V903027 - 1. assign V090800 = V721526 + 1. assign V743630 = V422674. assign V888404 = V422674 - 1. assign V872254 = V933158. assign V570994 = V695119. assign V071277 = V903027. assign V589036 = V210710. assign V035542 = V173441. assign V439501 = V013644 + 1. assign V578362 = V229089 - 1. assign V332653 = V173441 + 1. assign V981970 = V003250. assign V903027 = V422674 - 1. assign V993205 = V275768 + 1. assign V914245 = V997290 - 1. assign V382729 = V452816. assign V517337 = V904327 + 1. assign V798292 = V383248. assign V014152 = V447112 - 1. assign V881612 = V475659. assign V763331 = V735682. assign V778613 = V013644. assign V276245 = V229089 + 1. assign V794256 = V826571. assign V882169 = V803811 - 1. assign V839907 = V205700 - 1. assign V711240 = V198378. assign V794777 = V939865 + 1. assign V517961 = V675046. assign V187876 = V163473. assign V675046 = V437971 - 1. assign V639622 = V342381. assign V238517 = V622775 - 1. assign V133659 = V721526 - 1. assign V721526 = V276245. assign V356244 = V778613. assign V622775 = V437526 + 1. assign V326600 = V132008 - 1. assign V356250 = V235473 - 1. assign V305198 = V975058. assign V876096 = V437526 + 1. assign V270123 = V939865 + 1. assign V205700 = V578362. assign V197624 = V330167 - 1. assign V022805 = V578362. assign V192331 = V462467 + 1. assign V342381 = V971758 + 1. assign V308142 = V998312. assign V383248 = V156497 - 1. assign V229089 = V901941 + 1. assign V527898 = V376295 + 1. assign V668435 = V901941. assign V998312 = V418267. assign V511655 = V785397. assign V660569 = V939865 + 1. assign V551199 = V888404 + 1. assign V893569 = V951273 - 1. assign V173441 = V903027 + 1. assign V270079 = V276245 - 1. assign V181582 = V163473 - 1. assign V951273 = V475659. assign V296271 = V721526. assign V997290 = V376295. assign V194784 = V768497 - 1. assign V376295 = V235473 + 1. assign V615164 = V229089. assign V275768 = V150198 - 1. assign V512557 = V721526 + 1. assign V303537 = V163473 - 1. assign V238126 = V276245. assign V826571 = V156497. assign V452816 = V527898. assign V440446 = V150198 + 1. assign V030568 = V922110 + 1. assign V538941 = V816708 - 1. assign V562087 = V173441 - 1. assign V343141 = V511655 - 1. assign V282765 = V482078 - 1. assign V198378 = V562087. assign V896337 = V997290 - 1. assign V901941 = V235473 + 1. assign V040688 = V794256 - 1. assign V516244 = V695119. assign V388073 = V904327 + 1. assign V418267 = V163473. assign V922110 = V881612. assign V367819 = V578362 + 1. assign V210663 = V811841 + 1. assign V650546 = V418267 + 1. assign V475659 = V422674. assign V330167 = V229089. assign V130187 = V197624 + 1. assign V263146 = V332653. assign V816708 = V456385 + 1. assign V467160 = V888404 + 1. assign V971758 = V388073 + 1. assign V178041 = V482078 + 1. assign V785397 = V881612 + 1. assign V904327 = V881612 + 1. assign V511861 = V205700 - 1. assign V631995 = V578362 - 1. assign V087217 = V933158 - 1. assign V815463 = V181582. assign V695119 = V418267. assign V975058 = V173441 + 1. assign V066671 = V456385 - 1. assign V210710 = 6. assign V414223 = V565218 + 1. assign V941326 = V014152. assign V431465 = V941326 + 1. assign V864162 = V156497 + 1. assign V064730 = V997290 - 1. assign V735682 = V834194. assign V347766 = V022805 - 1. assign V218655 = V975369. assign V811841 = V939865. assign V437526 = V422674. assign V933158 = V578362 + 1. assign V928861 = V982706 + 1. assign V902850 = V229089 - 1. assign V834194 = V013644 + 1. assign V565218 = V205700. assign V975369 = V308142 - 1. assign V150313 = V367819 - 1. assign V402322 = V308954. assign V150198 = V475659 + 1. assign V447112 = V163473. assign V482078 = V229089 - 1. assign V797039 = V356250 + 1. assign V205979 = V816708 + 1. assign V156497 = V475659 - 1. assign V952240 = V388073. assign V031859 = V330167 - 1. assign V699895 = V872254. assign V484053 = V467160. assign V306048 = V235473 - 1. assign V621095 = V394346 + 1. assign V906093 = V205700. assign V163473 = V422674 + 1. assign V095915 = V198378. assign V939865 = V235473 - 1. assign V308954 = V570994 - 1. assign V882526 = V330167 + 1. assign V394346 = V205700 + 1. assign V013644 = V376295 - 1. assign V805874 = V013644 - 1. assign V768497 = V650546. assign V775690 = V876096. assign V437971 = V914245. assign V383487 = V695119 + 1. assign V587620 = V066671 + 1. assign V726579 = V414223 - 1. assign V773672 = V071277. assign V462467 = V422674 + 1. assign V132008 = V229089. assign V003250 = V928861 + 1. assign V582848 = V235473. assign V982706 = V901941 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V013937 = V538941. assign V128685 = V939865 + 1. assign V400902 = V367819 + 1. assign V564126 = V030568 + 1. assign V072323 = V263146 + 1. assign V442693 = V198378. assign V803811 = V893569. assign V422674 = V235473. assign V430181 = V743630 - 1. assign V907570 = V517961 + 1. assign V108372 = V282765 - 1. assign V977442 = V933158 - 1. assign V319044 = V442693 + 1. assign V456385 = V903027 - 1. assign V090800 = V721526 + 1. assign V743630 = V422674. assign V888404 = V422674 - 1. assign V872254 = V933158. assign V570994 = V695119. assign V071277 = V903027. assign V589036 = V210710. assign V035542 = V173441. assign V439501 = V013644 + 1. assign V578362 = V229089 - 1. assign V332653 = V173441 + 1. assign V981970 = V003250. assign V903027 = V422674 - 1. assign V993205 = V275768 + 1. assign V914245 = V997290 - 1. assign V382729 = V452816. assign V517337 = V904327 + 1. assign V798292 = V383248. assign V014152 = V447112 - 1. assign V881612 = V475659. assign V763331 = V735682. assign V778613 = V013644. assign V276245 = V229089 + 1. assign V794256 = V826571. assign V882169 = V803811 - 1. assign V839907 = V205700 - 1. assign V711240 = V198378. assign V794777 = V939865 + 1. assign V517961 = V675046. assign V187876 = V163473. assign V675046 = V437971 - 1. assign V639622 = V342381. assign V238517 = V622775 - 1. assign V133659 = V721526 - 1. assign V721526 = V276245. assign V356244 = V778613. assign V622775 = V437526 + 1. assign V326600 = V132008 - 1. assign V356250 = V235473 - 1. assign V305198 = V975058. assign V876096 = V437526 + 1. assign V270123 = V939865 + 1. assign V205700 = V578362. assign V197624 = V330167 - 1. assign V022805 = V578362. assign V192331 = V462467 + 1. assign V342381 = V971758 + 1. assign V308142 = V998312. assign V383248 = V156497 - 1. assign V229089 = V901941 + 1. assign V527898 = V376295 + 1. assign V668435 = V901941. assign V998312 = V418267. assign V511655 = V785397. assign V660569 = V939865 + 1. assign V551199 = V888404 + 1. assign V893569 = V951273 - 1. assign V173441 = V903027 + 1. assign V270079 = V276245 - 1. assign V181582 = V163473 - 1. assign V951273 = V475659. assign V296271 = V721526. assign V997290 = V376295. assign V194784 = V768497 - 1. assign V376295 = V235473 + 1. assign V615164 = V229089. assign V275768 = V150198 - 1. assign V512557 = V721526 + 1. assign V303537 = V163473 - 1. assign V238126 = V276245. assign V826571 = V156497. assign V452816 = V527898. assign V440446 = V150198 + 1. assign V030568 = V922110 + 1. assign V538941 = V816708 - 1. assign V562087 = V173441 - 1. assign V343141 = V511655 - 1. assign V282765 = V482078 - 1. assign V198378 = V562087. assign V896337 = V997290 - 1. assign V901941 = V235473 + 1. assign V040688 = V794256 - 1. assign V516244 = V695119. assign V388073 = V904327 + 1. assign V418267 = V163473. assign V922110 = V881612. assign V367819 = V578362 + 1. assign V210663 = V811841 + 1. assign V650546 = V418267 + 1. assign V475659 = V422674. assign V330167 = V229089. assign V130187 = V197624 + 1. assign V263146 = V332653. assign V816708 = V456385 + 1. assign V467160 = V888404 + 1. assign V971758 = V388073 + 1. assign V178041 = V482078 + 1. assign V785397 = V881612 + 1. assign V904327 = V881612 + 1. assign V511861 = V205700 - 1. assign V631995 = V578362 - 1. assign V087217 = V933158 - 1. assign V815463 = V181582. assign V695119 = V418267. assign V975058 = V173441 + 1. assign V066671 = V456385 - 1. assign V210710 = 6. assign V414223 = V565218 + 1. assign V941326 = V014152. assign V431465 = V941326 + 1. assign V864162 = V156497 + 1. assign V064730 = V997290 - 1. assign V735682 = V834194. assign V347766 = V022805 - 1. assign V218655 = V975369. assign V811841 = V939865. assign V437526 = V422674. assign V933158 = V578362 + 1. assign V928861 = V982706 + 1. assign V902850 = V229089 - 1. assign V834194 = V013644 + 1. assign V565218 = V205700. assign V975369 = V308142 - 1. assign V150313 = V367819 - 1. assign V402322 = V308954. assign V150198 = V475659 + 1. assign V447112 = V163473. assign V482078 = V229089 - 1. assign V797039 = V356250 + 1. assign V205979 = V816708 + 1. assign V156497 = V475659 - 1. assign V952240 = V388073. assign V031859 = V330167 - 1. assign V699895 = V872254. assign V484053 = V467160. assign V306048 = V235473 - 1. assign V621095 = V394346 + 1. assign V906093 = V205700. assign V163473 = V422674 + 1. assign V095915 = V198378. assign V939865 = V235473 - 1. assign V308954 = V570994 - 1. assign V882526 = V330167 + 1. assign V394346 = V205700 + 1. assign V013644 = V376295 - 1. assign V805874 = V013644 - 1. assign V768497 = V650546. assign V775690 = V876096. assign V437971 = V914245. assign V383487 = V695119 + 1. assign V587620 = V066671 + 1. assign V726579 = V414223 - 1. assign V773672 = V071277. assign V462467 = V422674 + 1. assign V132008 = V229089. assign V003250 = V928861 + 1. assign V582848 = V235473. assign V982706 = V901941 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV210710 = 6;\n\nFrom these direct assignment(s), we have: \nV589036 = V210710 = 6;\nNo other variables can be derived from V589036;\nNo other variables can be derived from V210710;\n\nNow we have done all the calculations. Derived variables are:\nV210710 = 6;\nV589036 = 6;\n\nNow we have finished this problem. ANSWER:\nV210710, V589036\n", "role": "assistant" } ]

[ "V137269" ]

[ { "content": "<context>\nassign V510883 = V518160. assign V986721 = V376403 - 1. assign V152200 = V341330 - 1. assign V634411 = V148895 - 1. assign V439832 = V898797. assign V954838 = V566081. assign V020023 = V842758 - 1. assign V876517 = V576706 - 1. assign V460746 = V947096 + 1. assign V078782 = V011221 - 1. assign V002792 = V145687 + 1. assign V785526 = V467586. assign V174567 = V634411 - 1. assign V314127 = V858252 - 1. assign V372638 = V625828 + 1. assign V434204 = V070835 - 1. assign V871800 = V773453 - 1. assign V414192 = V893983 + 1. assign V739510 = V332809. assign V131209 = V540588 + 1. assign V020410 = V316868 - 1. assign V119502 = V145687 + 1. assign V344583 = V935626. assign V511688 = V399948. assign V377205 = V461656 + 1. assign V722652 = V518160. assign V822255 = V009851 - 1. assign V449169 = V148895 - 1. assign V602593 = V020410 - 1. assign V015107 = V717162 + 1. assign V145687 = V875032 - 1. assign V982392 = V332809. assign V935626 = V875032 + 1. assign V461656 = V789101 - 1. assign V233692 = V805570. assign V585884 = V139070 + 1. assign V063780 = V638260 + 1. assign V893983 = V127024. assign V899092 = V464333 + 1. assign V131219 = V773453. assign V585574 = V049268. assign V281961 = V127024 - 1. assign V049268 = V773453 + 1. assign V789101 = V858252 + 1. assign V773453 = V634411 + 1. assign V844717 = V809433. assign V473437 = V457666. assign V367005 = V473437. assign V153327 = V858252 - 1. assign V282540 = V695645 - 1. assign V261718 = V464333 + 1. assign V951825 = V805570 - 1. assign V093326 = V858252. assign V002045 = V294871 + 1. assign V011221 = V919236 + 1. assign V518160 = V858252. assign V941116 = V956272 + 1. assign V711243 = V822255. assign V399948 = V588159 + 1. assign V897751 = V389333 - 1. assign V467583 = V894100. assign V635121 = V141595 - 1. assign V115579 = V726345. assign V622620 = V464333 + 1. assign V070835 = V341330. assign V719751 = V813300 - 1. assign V457666 = V383362 - 1. assign V956272 = V367005. assign V043308 = V913940 + 1. assign V718584 = V399948 - 1. assign V864329 = V316868. assign V009851 = V898797. assign V849982 = V131219 - 1. assign V248127 = V510883 - 1. assign V919236 = V148895 - 1. assign V561076 = V718584 + 1. assign V429695 = V179585. assign V137269 = V816647 + 1. assign V467586 = V899092 - 1. assign V295898 = V009851. assign V913940 = V078782 + 1. assign V734735 = V316868 - 1. assign V383362 = V341330 - 1. assign V943739 = V383362. assign V826934 = V722652 + 1. assign V452675 = V878735 + 1. assign V898797 = V314127 - 1. assign V809433 = V148895 + 1. assign V084893 = V588159. assign V040889 = V107982. assign V858252 = V464333. assign V456679 = V663929 - 1. assign V222086 = V881015 - 1. assign V316868 = V858252 + 1. assign V587149 = V145687 - 1. assign V341330 = V464333. assign V276504 = V789101 - 1. assign V277552 = V316868 + 1. assign V850687 = V269649 + 1. assign V141595 = V020023. assign V566081 = V263006 + 1. assign V726345 = V809433 - 1. assign V655290 = V582509 - 1. assign V418840 = V088893 + 1. assign V651925 = V107982 - 1. assign V962051 = V805570 + 1. assign V899295 = V418840 - 1. assign V638095 = V635121 + 1. assign V875032 = V464333 - 1. assign V499754 = V508008. assign V717162 = V063780 + 1. assign V562938 = V858252. assign V110558 = V809433 + 1. assign V248743 = V773453 - 1. assign V588159 = V562938. assign V576706 = V718584. assign V140971 = V935626 + 1. assign V842758 = V088893 + 1. assign V638260 = V314127 - 1. assign V289072 = V063456. assign V516753 = V107982 - 1. assign V263006 = V148895 - 1. assign V878735 = V518160 - 1. assign V713264 = V127024. assign V582509 = V464333 + 1. assign V813300 = V449169 + 1. assign V805570 = V464333 - 1. assign V059208 = V881015 + 1. assign V508008 = V009851. assign V649139 = V635121 + 1. assign V352456 = V734735. assign V395635 = V418840. assign V748953 = V895089. assign V429520 = V982392. assign V107982 = V518160. assign V458178 = V734735. assign V625828 = V822255. assign V389333 = V093326. assign V695645 = V148895 - 1. assign V785948 = V434204 + 1. assign V575047 = V711243 - 1. assign V473190 = V588159 + 1. assign V269649 = V919236 + 1. assign V088893 = V011221 + 1. assign V294871 = V562938. assign V063456 = V919236 + 1. assign V251334 = V110558 + 1. assign V127024 = V316868 - 1. assign V276106 = V773453. assign V139070 = V376403. assign V894100 = V011221. assign V947096 = V383362 - 1. assign V813448 = V449169 + 1. assign V614706 = V294871 - 1. assign V332809 = V152200 - 1. assign V376403 = V805570 - 1. assign V895089 = V040889 - 1. assign V831243 = V049268 + 1. assign V554703 = V635121. assign V599632 = V049268. assign V386152 = V634411. assign V701720 = V049268 + 1. assign V148895 = V858252 - 1. assign V181450 = V248743 + 1. assign V031899 = V842758 + 1. assign V179585 = V316868 + 1. assign V540588 = V152200 + 1. assign V881015 = V566081 + 1. assign V692463 = V576706 + 1. assign V701721 = V294871 - 1. assign V663929 = V844717 + 1. assign V816647 = 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V510883 = V518160. assign V986721 = V376403 - 1. assign V152200 = V341330 - 1. assign V634411 = V148895 - 1. assign V439832 = V898797. assign V954838 = V566081. assign V020023 = V842758 - 1. assign V876517 = V576706 - 1. assign V460746 = V947096 + 1. assign V078782 = V011221 - 1. assign V002792 = V145687 + 1. assign V785526 = V467586. assign V174567 = V634411 - 1. assign V314127 = V858252 - 1. assign V372638 = V625828 + 1. assign V434204 = V070835 - 1. assign V871800 = V773453 - 1. assign V414192 = V893983 + 1. assign V739510 = V332809. assign V131209 = V540588 + 1. assign V020410 = V316868 - 1. assign V119502 = V145687 + 1. assign V344583 = V935626. assign V511688 = V399948. assign V377205 = V461656 + 1. assign V722652 = V518160. assign V822255 = V009851 - 1. assign V449169 = V148895 - 1. assign V602593 = V020410 - 1. assign V015107 = V717162 + 1. assign V145687 = V875032 - 1. assign V982392 = V332809. assign V935626 = V875032 + 1. assign V461656 = V789101 - 1. assign V233692 = V805570. assign V585884 = V139070 + 1. assign V063780 = V638260 + 1. assign V893983 = V127024. assign V899092 = V464333 + 1. assign V131219 = V773453. assign V585574 = V049268. assign V281961 = V127024 - 1. assign V049268 = V773453 + 1. assign V789101 = V858252 + 1. assign V773453 = V634411 + 1. assign V844717 = V809433. assign V473437 = V457666. assign V367005 = V473437. assign V153327 = V858252 - 1. assign V282540 = V695645 - 1. assign V261718 = V464333 + 1. assign V951825 = V805570 - 1. assign V093326 = V858252. assign V002045 = V294871 + 1. assign V011221 = V919236 + 1. assign V518160 = V858252. assign V941116 = V956272 + 1. assign V711243 = V822255. assign V399948 = V588159 + 1. assign V897751 = V389333 - 1. assign V467583 = V894100. assign V635121 = V141595 - 1. assign V115579 = V726345. assign V622620 = V464333 + 1. assign V070835 = V341330. assign V719751 = V813300 - 1. assign V457666 = V383362 - 1. assign V956272 = V367005. assign V043308 = V913940 + 1. assign V718584 = V399948 - 1. assign V864329 = V316868. assign V009851 = V898797. assign V849982 = V131219 - 1. assign V248127 = V510883 - 1. assign V919236 = V148895 - 1. assign V561076 = V718584 + 1. assign V429695 = V179585. assign V137269 = V816647 + 1. assign V467586 = V899092 - 1. assign V295898 = V009851. assign V913940 = V078782 + 1. assign V734735 = V316868 - 1. assign V383362 = V341330 - 1. assign V943739 = V383362. assign V826934 = V722652 + 1. assign V452675 = V878735 + 1. assign V898797 = V314127 - 1. assign V809433 = V148895 + 1. assign V084893 = V588159. assign V040889 = V107982. assign V858252 = V464333. assign V456679 = V663929 - 1. assign V222086 = V881015 - 1. assign V316868 = V858252 + 1. assign V587149 = V145687 - 1. assign V341330 = V464333. assign V276504 = V789101 - 1. assign V277552 = V316868 + 1. assign V850687 = V269649 + 1. assign V141595 = V020023. assign V566081 = V263006 + 1. assign V726345 = V809433 - 1. assign V655290 = V582509 - 1. assign V418840 = V088893 + 1. assign V651925 = V107982 - 1. assign V962051 = V805570 + 1. assign V899295 = V418840 - 1. assign V638095 = V635121 + 1. assign V875032 = V464333 - 1. assign V499754 = V508008. assign V717162 = V063780 + 1. assign V562938 = V858252. assign V110558 = V809433 + 1. assign V248743 = V773453 - 1. assign V588159 = V562938. assign V576706 = V718584. assign V140971 = V935626 + 1. assign V842758 = V088893 + 1. assign V638260 = V314127 - 1. assign V289072 = V063456. assign V516753 = V107982 - 1. assign V263006 = V148895 - 1. assign V878735 = V518160 - 1. assign V713264 = V127024. assign V582509 = V464333 + 1. assign V813300 = V449169 + 1. assign V805570 = V464333 - 1. assign V059208 = V881015 + 1. assign V508008 = V009851. assign V649139 = V635121 + 1. assign V352456 = V734735. assign V395635 = V418840. assign V748953 = V895089. assign V429520 = V982392. assign V107982 = V518160. assign V458178 = V734735. assign V625828 = V822255. assign V389333 = V093326. assign V695645 = V148895 - 1. assign V785948 = V434204 + 1. assign V575047 = V711243 - 1. assign V473190 = V588159 + 1. assign V269649 = V919236 + 1. assign V088893 = V011221 + 1. assign V294871 = V562938. assign V063456 = V919236 + 1. assign V251334 = V110558 + 1. assign V127024 = V316868 - 1. assign V276106 = V773453. assign V139070 = V376403. assign V894100 = V011221. assign V947096 = V383362 - 1. assign V813448 = V449169 + 1. assign V614706 = V294871 - 1. assign V332809 = V152200 - 1. assign V376403 = V805570 - 1. assign V895089 = V040889 - 1. assign V831243 = V049268 + 1. assign V554703 = V635121. assign V599632 = V049268. assign V386152 = V634411. assign V701720 = V049268 + 1. assign V148895 = V858252 - 1. assign V181450 = V248743 + 1. assign V031899 = V842758 + 1. assign V179585 = V316868 + 1. assign V540588 = V152200 + 1. assign V881015 = V566081 + 1. assign V692463 = V576706 + 1. assign V701721 = V294871 - 1. assign V663929 = V844717 + 1. assign V816647 = 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV816647 = 1;\n\nFrom these direct assignment(s), we have: \nV137269 = V816647 + 1 = 1 + 1 =2;\nNo other variables can be derived from V137269;\nNo other variables can be derived from V816647;\n\nNow we have done all the calculations. Derived variables are:\nV816647 = 1;\nV137269 = 2;\n\nNow we have finished this problem. ANSWER:\nV137269\n", "role": "assistant" } ]

[ "V982709" ]

[ { "content": "<context>\nassign V414983 = V710915 - 1. assign V944119 = V264564 - 1. assign V136309 = V973619 + 1. assign V190839 = V427070. assign V215957 = V398961. assign V861785 = V985422 - 1. assign V288712 = V398961 + 1. assign V857014 = V306141 + 1. assign V267731 = V398014. assign V495814 = V973619 - 1. assign V341618 = V575268 + 1. assign V982709 = V604761 + 1. assign V967231 = V139517. assign V566428 = V222436. assign V309276 = V218097. assign V487261 = V128111 - 1. assign V027578 = V913427 - 1. assign V128111 = V870303 - 1. assign V774980 = V647013 - 1. assign V282273 = V398961 - 1. assign V079336 = V936948 + 1. assign V222436 = V872760 + 1. assign V806312 = V184360. assign V427070 = V778652. assign V218097 = V136309 + 1. assign V872760 = V057385 + 1. assign V929196 = V721948 - 1. assign V206418 = V861785 - 1. assign V715023 = V575268 + 1. assign V097562 = V074720 + 1. assign V396147 = V259126 - 1. assign V376399 = V495814 - 1. assign V532557 = V218097 - 1. assign V510470 = V434831. assign V050507 = V495814. assign V726179 = V510470 + 1. assign V046342 = V777205 - 1. assign V936948 = V686187. assign V308451 = V688168. assign V234310 = V770676. assign V398014 = V688168 - 1. assign V719483 = V906128 + 1. assign V930502 = V106042. assign V758001 = V550197 + 1. assign V077682 = V959890 - 1. assign V372179 = V259126. assign V765073 = V613328. assign V244780 = V777205 - 1. assign V217604 = V946240 - 1. assign V845769 = V485466. assign V621751 = V184360 + 1. assign V741306 = V872760 + 1. assign V451590 = V468563. assign V404957 = V902864 - 1. assign V902864 = V550197. assign V946240 = V057385 + 1. assign V959890 = V121338. assign V264564 = V222436. assign V119454 = V906128 - 1. assign V521829 = V902864. assign V603786 = V688168 - 1. assign V378364 = V946240 + 1. assign V704125 = V798434. assign V416453 = V398961 - 1. assign V646746 = V341618. assign V242585 = V416453. assign V770676 = V973619 + 1. assign V360316 = V485466. assign V579904 = V575268. assign V550197 = V057385 - 1. assign V778652 = V495814 - 1. assign V601700 = V839697 - 1. assign V689639 = V635200 + 1. assign V065871 = V398961 + 1. assign V139517 = V217604 - 1. assign V332769 = V472395. assign V852963 = V575268 + 1. assign V613252 = V902864. assign V926970 = V872760 - 1. assign V259126 = V097562 - 1. assign V824837 = V288712 - 1. assign V945900 = V839697 - 1. assign V604761 = 3. assign V434831 = V460455 - 1. assign V472395 = V142956. assign V926102 = V467570 + 1. assign V627523 = V521536. assign V976343 = V601700 - 1. assign V996326 = V936948 + 1. assign V707577 = V495814. assign V398961 = V959890 + 1. assign V126413 = V575268. assign V468094 = V973619. assign V947644 = V190262 + 1. assign V267204 = V190262 - 1. assign V798434 = V222436 - 1. assign V430135 = V575268 + 1. assign V747637 = V139517 + 1. assign V987306 = V136309. assign V828013 = V376399 - 1. assign V468563 = V973619 - 1. assign V184360 = V686187 + 1. assign V460455 = V139517 - 1. assign V447692 = V206418. assign V647013 = V828013 - 1. assign V281144 = V267731. assign V747111 = V427070 + 1. assign V135306 = V338066. assign V940798 = V126413 - 1. assign V485466 = V996326 - 1. assign V127583 = V747637 - 1. assign V467570 = V647013 + 1. assign V057385 = V973619 + 1. assign V870303 = V575184 - 1. assign V575184 = V495814 + 1. assign V613328 = V282273. assign V110709 = V719483 + 1. assign V679536 = V707577 - 1. assign V985422 = V902864 - 1. assign V906128 = V282273. assign V748350 = V288712. assign V307871 = V097562. assign V185926 = V913427 - 1. assign V721948 = V566428 + 1. assign V568132 = V946240 + 1. assign V206145 = V128111 + 1. assign V575268 = V057385 + 1. assign V650469 = V521536. assign V291628 = V872760. assign V129442 = V106042. assign V328535 = V985422. assign V780861 = V057385 + 1. assign V380001 = V747637 - 1. assign V590870 = V944119 + 1. assign V710915 = V688168. assign V910064 = V575184. assign V686187 = V495814. assign V913427 = V688168 + 1. assign V839697 = V065871 - 1. assign V767878 = V264564. assign V811593 = V121338 - 1. assign V142956 = V550197. assign V521536 = V306141 - 1. assign V777205 = V215957 + 1. assign V250155 = V601700. assign V949033 = V460455. assign V746320 = V097562 + 1. assign V121338 = V973619 + 1. assign V338066 = V079960. assign V348023 = V184360. assign V688168 = V217604 - 1. assign V079960 = V603786 + 1. assign V306141 = V139517. assign V954406 = V946240 + 1. assign V190262 = V575184 + 1. assign V614282 = V329005. assign V428967 = V976343. assign V432050 = V689639 + 1. assign V635200 = V913427. assign V945359 = V206145 - 1. assign V955191 = V065871 + 1. assign V869717 = V906128. assign V006397 = V380001 - 1. assign V106042 = V575268 - 1. assign V511480 = V250155 + 1. assign V619978 = V129442 - 1. assign V149461 = V679536 - 1. assign V209321 = V468563 + 1. assign V329005 = V079960. assign V074720 = V057385 + 1. assign V363864 = V121338 - 1. assign V430354 = V282273 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V414983 = V710915 - 1. assign V944119 = V264564 - 1. assign V136309 = V973619 + 1. assign V190839 = V427070. assign V215957 = V398961. assign V861785 = V985422 - 1. assign V288712 = V398961 + 1. assign V857014 = V306141 + 1. assign V267731 = V398014. assign V495814 = V973619 - 1. assign V341618 = V575268 + 1. assign V982709 = V604761 + 1. assign V967231 = V139517. assign V566428 = V222436. assign V309276 = V218097. assign V487261 = V128111 - 1. assign V027578 = V913427 - 1. assign V128111 = V870303 - 1. assign V774980 = V647013 - 1. assign V282273 = V398961 - 1. assign V079336 = V936948 + 1. assign V222436 = V872760 + 1. assign V806312 = V184360. assign V427070 = V778652. assign V218097 = V136309 + 1. assign V872760 = V057385 + 1. assign V929196 = V721948 - 1. assign V206418 = V861785 - 1. assign V715023 = V575268 + 1. assign V097562 = V074720 + 1. assign V396147 = V259126 - 1. assign V376399 = V495814 - 1. assign V532557 = V218097 - 1. assign V510470 = V434831. assign V050507 = V495814. assign V726179 = V510470 + 1. assign V046342 = V777205 - 1. assign V936948 = V686187. assign V308451 = V688168. assign V234310 = V770676. assign V398014 = V688168 - 1. assign V719483 = V906128 + 1. assign V930502 = V106042. assign V758001 = V550197 + 1. assign V077682 = V959890 - 1. assign V372179 = V259126. assign V765073 = V613328. assign V244780 = V777205 - 1. assign V217604 = V946240 - 1. assign V845769 = V485466. assign V621751 = V184360 + 1. assign V741306 = V872760 + 1. assign V451590 = V468563. assign V404957 = V902864 - 1. assign V902864 = V550197. assign V946240 = V057385 + 1. assign V959890 = V121338. assign V264564 = V222436. assign V119454 = V906128 - 1. assign V521829 = V902864. assign V603786 = V688168 - 1. assign V378364 = V946240 + 1. assign V704125 = V798434. assign V416453 = V398961 - 1. assign V646746 = V341618. assign V242585 = V416453. assign V770676 = V973619 + 1. assign V360316 = V485466. assign V579904 = V575268. assign V550197 = V057385 - 1. assign V778652 = V495814 - 1. assign V601700 = V839697 - 1. assign V689639 = V635200 + 1. assign V065871 = V398961 + 1. assign V139517 = V217604 - 1. assign V332769 = V472395. assign V852963 = V575268 + 1. assign V613252 = V902864. assign V926970 = V872760 - 1. assign V259126 = V097562 - 1. assign V824837 = V288712 - 1. assign V945900 = V839697 - 1. assign V604761 = 3. assign V434831 = V460455 - 1. assign V472395 = V142956. assign V926102 = V467570 + 1. assign V627523 = V521536. assign V976343 = V601700 - 1. assign V996326 = V936948 + 1. assign V707577 = V495814. assign V398961 = V959890 + 1. assign V126413 = V575268. assign V468094 = V973619. assign V947644 = V190262 + 1. assign V267204 = V190262 - 1. assign V798434 = V222436 - 1. assign V430135 = V575268 + 1. assign V747637 = V139517 + 1. assign V987306 = V136309. assign V828013 = V376399 - 1. assign V468563 = V973619 - 1. assign V184360 = V686187 + 1. assign V460455 = V139517 - 1. assign V447692 = V206418. assign V647013 = V828013 - 1. assign V281144 = V267731. assign V747111 = V427070 + 1. assign V135306 = V338066. assign V940798 = V126413 - 1. assign V485466 = V996326 - 1. assign V127583 = V747637 - 1. assign V467570 = V647013 + 1. assign V057385 = V973619 + 1. assign V870303 = V575184 - 1. assign V575184 = V495814 + 1. assign V613328 = V282273. assign V110709 = V719483 + 1. assign V679536 = V707577 - 1. assign V985422 = V902864 - 1. assign V906128 = V282273. assign V748350 = V288712. assign V307871 = V097562. assign V185926 = V913427 - 1. assign V721948 = V566428 + 1. assign V568132 = V946240 + 1. assign V206145 = V128111 + 1. assign V575268 = V057385 + 1. assign V650469 = V521536. assign V291628 = V872760. assign V129442 = V106042. assign V328535 = V985422. assign V780861 = V057385 + 1. assign V380001 = V747637 - 1. assign V590870 = V944119 + 1. assign V710915 = V688168. assign V910064 = V575184. assign V686187 = V495814. assign V913427 = V688168 + 1. assign V839697 = V065871 - 1. assign V767878 = V264564. assign V811593 = V121338 - 1. assign V142956 = V550197. assign V521536 = V306141 - 1. assign V777205 = V215957 + 1. assign V250155 = V601700. assign V949033 = V460455. assign V746320 = V097562 + 1. assign V121338 = V973619 + 1. assign V338066 = V079960. assign V348023 = V184360. assign V688168 = V217604 - 1. assign V079960 = V603786 + 1. assign V306141 = V139517. assign V954406 = V946240 + 1. assign V190262 = V575184 + 1. assign V614282 = V329005. assign V428967 = V976343. assign V432050 = V689639 + 1. assign V635200 = V913427. assign V945359 = V206145 - 1. assign V955191 = V065871 + 1. assign V869717 = V906128. assign V006397 = V380001 - 1. assign V106042 = V575268 - 1. assign V511480 = V250155 + 1. assign V619978 = V129442 - 1. assign V149461 = V679536 - 1. assign V209321 = V468563 + 1. assign V329005 = V079960. assign V074720 = V057385 + 1. assign V363864 = V121338 - 1. assign V430354 = V282273 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV604761 = 3;\n\nFrom these direct assignment(s), we have: \nV982709 = V604761 + 1 = 3 + 1 =4;\nNo other variables can be derived from V982709;\nNo other variables can be derived from V604761;\n\nNow we have done all the calculations. Derived variables are:\nV604761 = 3;\nV982709 = 4;\n\nNow we have finished this problem. ANSWER:\nV982709\n", "role": "assistant" } ]

[ "V968862" ]

[ { "content": "<context>\nassign V688796 = V152846. assign V474979 = V608874 - 1. assign V277080 = V395832 - 1. assign V896302 = V060502. assign V233976 = V346395 + 1. assign V846809 = V643958 + 1. assign V866108 = V595229 - 1. assign V203593 = V170565 - 1. assign V455299 = V516058. assign V162457 = V940780 - 1. assign V694801 = V531067 + 1. assign V531067 = V101396 - 1. assign V092392 = V308797. assign V524705 = V129188 - 1. assign V250350 = V277080. assign V222780 = V958883. assign V264028 = V346395 - 1. assign V047991 = V474979 + 1. assign V955079 = V694801 - 1. assign V038125 = V255061. assign V364111 = V717147 + 1. assign V518991 = V129188. assign V796847 = V866810. assign V608874 = V990456 + 1. assign V596011 = V907998 + 1. assign V636590 = V402119 + 1. assign V365055 = V229201 + 1. assign V470437 = V990456. assign V064317 = V875419 - 1. assign V983197 = V753697 - 1. assign V772963 = V643958. assign V711416 = V358689 + 1. assign V151977 = V643958 - 1. assign V648461 = V226472 - 1. assign V753697 = V990456. assign V717344 = V516058 + 1. assign V422488 = V894339 - 1. assign V997367 = V940780 - 1. assign V490578 = V203593 - 1. assign V289344 = V038125 + 1. assign V460822 = V866810 - 1. assign V239544 = V643958 + 1. assign V828060 = V894339 - 1. assign V170565 = V516058. assign V875419 = V146583 + 1. assign V690145 = V572619 + 1. assign V729283 = V267622. assign V520811 = V427179 + 1. assign V419476 = V847791 - 1. assign V950915 = V159340 + 1. assign V847023 = V470437. assign V269133 = V753697 + 1. assign V226472 = V222780. assign V208563 = V346395 - 1. assign V062886 = V255061. assign V159340 = V699013 - 1. assign V907998 = V170565 - 1. assign V427179 = V346395. assign V511076 = V950915 - 1. assign V845865 = V060502 + 1. assign V919040 = V470437 + 1. assign V825765 = V896302 + 1. assign V633840 = V866810 + 1. assign V267622 = V608874. assign V343473 = V129188. assign V141649 = V422488 + 1. assign V421889 = V062886 + 1. assign V699013 = V255061 + 1. assign V157339 = V264028 + 1. assign V152846 = V487495. assign V395832 = V222780 - 1. assign V421702 = V496883 + 1. assign V712352 = V758221. assign V523438 = V584370 - 1. assign V820726 = V694801 + 1. assign V951792 = V511613. assign V511613 = V487495 + 1. assign V619467 = V162457 + 1. assign V758221 = V531067 + 1. assign V697467 = V717243 - 1. assign V053319 = V305514. assign V609338 = V487495 - 1. assign V731143 = V151609. assign V478369 = V101396. assign V206639 = V085112. assign V498332 = V277477 + 1. assign V360764 = V346395. assign V584370 = V170565 - 1. assign V572619 = V894339 - 1. assign V761660 = V255061. assign V288286 = V162457 + 1. assign V277477 = V511613 + 1. assign V817667 = V894339 + 1. assign V892398 = V875419 - 1. assign V496883 = V460822. assign V975880 = V875419 + 1. assign V129188 = V267622. assign V425092 = V531067. assign V592296 = V421889. assign V956004 = V364111 - 1. assign V717243 = V364111 - 1. assign V358689 = V101396 - 1. assign V062603 = V699013 - 1. assign V351766 = V222669 - 1. assign V020358 = V342989 + 1. assign V516058 = V308797. assign V508810 = V159340. assign V632828 = V511076. assign V790856 = V233976 + 1. assign V440835 = V520811 - 1. assign V359246 = V013455. assign V673204 = V511613. assign V894339 = V940780 - 1. assign V255061 = V487495 + 1. assign V099869 = V968862 + 1. assign V987499 = V020358 + 1. assign V013455 = V950915. assign V060502 = V894339. assign V822012 = V100016. assign V019012 = V421702. assign V562567 = V308797 + 1. assign V866810 = V951792 - 1. assign V021687 = V170565 + 1. assign V595229 = V894339 + 1. assign V940780 = V308797. assign V308797 = V487495 + 1. assign V417077 = V157339. assign V601032 = V359246. assign V717147 = V255061. assign V530496 = V496883 + 1. assign V107459 = V894339 - 1. assign V945731 = V498332 + 1. assign V626446 = V490578 + 1. assign V101396 = V047991 - 1. assign V311376 = V342989. assign V643958 = V101396. assign V146583 = V940780 + 1. assign V151609 = V538421. assign V305514 = V596011. assign V229201 = V151977 - 1. assign V774766 = V958883 + 1. assign V968862 = 6. assign V492164 = V955079 - 1. assign V342989 = V085112. assign V034479 = V648461 - 1. assign V222669 = V490578 + 1. assign V823452 = V592296 + 1. assign V719275 = V422488 + 1. assign V100016 = V351766 + 1. assign V895375 = V753697 + 1. assign V538421 = V608874 - 1. assign V402119 = V162457 - 1. assign V204892 = V699013 + 1. assign V709020 = V958883. assign V085112 = V516058 - 1. assign V990456 = V255061 - 1. assign V525285 = V062603 + 1. assign V847791 = V796847 - 1. assign V950100 = V592296. assign V431110 = V694801 + 1. assign V857512 = V311376. assign V346395 = V162457 - 1. assign V377594 = V038125 - 1. assign V837080 = V866108 - 1. assign V672824 = V343473 - 1. assign V071016 = V846809 - 1. assign V490297 = V894339 - 1. assign V991423 = V204892 - 1. assign V078572 = V997367 - 1. assign V058868 = V825765 - 1. assign V966503 = V991423 + 1. assign V958883 = V487495 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V688796 = V152846. assign V474979 = V608874 - 1. assign V277080 = V395832 - 1. assign V896302 = V060502. assign V233976 = V346395 + 1. assign V846809 = V643958 + 1. assign V866108 = V595229 - 1. assign V203593 = V170565 - 1. assign V455299 = V516058. assign V162457 = V940780 - 1. assign V694801 = V531067 + 1. assign V531067 = V101396 - 1. assign V092392 = V308797. assign V524705 = V129188 - 1. assign V250350 = V277080. assign V222780 = V958883. assign V264028 = V346395 - 1. assign V047991 = V474979 + 1. assign V955079 = V694801 - 1. assign V038125 = V255061. assign V364111 = V717147 + 1. assign V518991 = V129188. assign V796847 = V866810. assign V608874 = V990456 + 1. assign V596011 = V907998 + 1. assign V636590 = V402119 + 1. assign V365055 = V229201 + 1. assign V470437 = V990456. assign V064317 = V875419 - 1. assign V983197 = V753697 - 1. assign V772963 = V643958. assign V711416 = V358689 + 1. assign V151977 = V643958 - 1. assign V648461 = V226472 - 1. assign V753697 = V990456. assign V717344 = V516058 + 1. assign V422488 = V894339 - 1. assign V997367 = V940780 - 1. assign V490578 = V203593 - 1. assign V289344 = V038125 + 1. assign V460822 = V866810 - 1. assign V239544 = V643958 + 1. assign V828060 = V894339 - 1. assign V170565 = V516058. assign V875419 = V146583 + 1. assign V690145 = V572619 + 1. assign V729283 = V267622. assign V520811 = V427179 + 1. assign V419476 = V847791 - 1. assign V950915 = V159340 + 1. assign V847023 = V470437. assign V269133 = V753697 + 1. assign V226472 = V222780. assign V208563 = V346395 - 1. assign V062886 = V255061. assign V159340 = V699013 - 1. assign V907998 = V170565 - 1. assign V427179 = V346395. assign V511076 = V950915 - 1. assign V845865 = V060502 + 1. assign V919040 = V470437 + 1. assign V825765 = V896302 + 1. assign V633840 = V866810 + 1. assign V267622 = V608874. assign V343473 = V129188. assign V141649 = V422488 + 1. assign V421889 = V062886 + 1. assign V699013 = V255061 + 1. assign V157339 = V264028 + 1. assign V152846 = V487495. assign V395832 = V222780 - 1. assign V421702 = V496883 + 1. assign V712352 = V758221. assign V523438 = V584370 - 1. assign V820726 = V694801 + 1. assign V951792 = V511613. assign V511613 = V487495 + 1. assign V619467 = V162457 + 1. assign V758221 = V531067 + 1. assign V697467 = V717243 - 1. assign V053319 = V305514. assign V609338 = V487495 - 1. assign V731143 = V151609. assign V478369 = V101396. assign V206639 = V085112. assign V498332 = V277477 + 1. assign V360764 = V346395. assign V584370 = V170565 - 1. assign V572619 = V894339 - 1. assign V761660 = V255061. assign V288286 = V162457 + 1. assign V277477 = V511613 + 1. assign V817667 = V894339 + 1. assign V892398 = V875419 - 1. assign V496883 = V460822. assign V975880 = V875419 + 1. assign V129188 = V267622. assign V425092 = V531067. assign V592296 = V421889. assign V956004 = V364111 - 1. assign V717243 = V364111 - 1. assign V358689 = V101396 - 1. assign V062603 = V699013 - 1. assign V351766 = V222669 - 1. assign V020358 = V342989 + 1. assign V516058 = V308797. assign V508810 = V159340. assign V632828 = V511076. assign V790856 = V233976 + 1. assign V440835 = V520811 - 1. assign V359246 = V013455. assign V673204 = V511613. assign V894339 = V940780 - 1. assign V255061 = V487495 + 1. assign V099869 = V968862 + 1. assign V987499 = V020358 + 1. assign V013455 = V950915. assign V060502 = V894339. assign V822012 = V100016. assign V019012 = V421702. assign V562567 = V308797 + 1. assign V866810 = V951792 - 1. assign V021687 = V170565 + 1. assign V595229 = V894339 + 1. assign V940780 = V308797. assign V308797 = V487495 + 1. assign V417077 = V157339. assign V601032 = V359246. assign V717147 = V255061. assign V530496 = V496883 + 1. assign V107459 = V894339 - 1. assign V945731 = V498332 + 1. assign V626446 = V490578 + 1. assign V101396 = V047991 - 1. assign V311376 = V342989. assign V643958 = V101396. assign V146583 = V940780 + 1. assign V151609 = V538421. assign V305514 = V596011. assign V229201 = V151977 - 1. assign V774766 = V958883 + 1. assign V968862 = 6. assign V492164 = V955079 - 1. assign V342989 = V085112. assign V034479 = V648461 - 1. assign V222669 = V490578 + 1. assign V823452 = V592296 + 1. assign V719275 = V422488 + 1. assign V100016 = V351766 + 1. assign V895375 = V753697 + 1. assign V538421 = V608874 - 1. assign V402119 = V162457 - 1. assign V204892 = V699013 + 1. assign V709020 = V958883. assign V085112 = V516058 - 1. assign V990456 = V255061 - 1. assign V525285 = V062603 + 1. assign V847791 = V796847 - 1. assign V950100 = V592296. assign V431110 = V694801 + 1. assign V857512 = V311376. assign V346395 = V162457 - 1. assign V377594 = V038125 - 1. assign V837080 = V866108 - 1. assign V672824 = V343473 - 1. assign V071016 = V846809 - 1. assign V490297 = V894339 - 1. assign V991423 = V204892 - 1. assign V078572 = V997367 - 1. assign V058868 = V825765 - 1. assign V966503 = V991423 + 1. assign V958883 = V487495 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV968862 = 6;\n\nFrom these direct assignment(s), we have: \nV099869 = V968862 + 1 = 6 + 1 =7;\nNo other variables can be derived from V099869;\nNo other variables can be derived from V968862;\n\nNow we have done all the calculations. Derived variables are:\nV968862 = 6;\nV099869 = 7;\n\nNow we have finished this problem. ANSWER:\nV968862\n", "role": "assistant" } ]

[ "V800621" ]

[ { "content": "<context>\nassign V531535 = V088710 + 1. assign V977116 = V748561. assign V909868 = V571926 - 1. assign V522304 = V063121 + 1. assign V812786 = V792337 + 1. assign V900693 = V650692 + 1. assign V543709 = V074021 - 1. assign V042483 = V352792 + 1. assign V395261 = V219518 - 1. assign V330068 = V686735. assign V824135 = V536244 - 1. assign V587339 = 6. assign V424113 = V536686. assign V615571 = V573288 - 1. assign V421763 = V021792. assign V349711 = V879220. assign V748814 = V352792 + 1. assign V112166 = V880040 - 1. assign V818796 = V812786 - 1. assign V485649 = V564554 + 1. assign V777232 = V752840 + 1. assign V534150 = V705137 - 1. assign V994576 = V579084 - 1. assign V943932 = V395261. assign V375044 = V065170. assign V108912 = V997977 + 1. assign V571926 = V597389. assign V879220 = V686735. assign V891260 = V503538 - 1. assign V800621 = V587339 - 1. assign V536244 = V088710. assign V492172 = V765542. assign V469395 = V959119. assign V129456 = V828745. assign V407495 = V856933 + 1. assign V181109 = V581879 - 1. assign V967883 = V561668. assign V110061 = V821603 - 1. assign V348033 = V725057. assign V516854 = V821603. assign V444820 = V818796. assign V255851 = V373544 + 1. assign V341907 = V342813 + 1. assign V308030 = V110061 - 1. assign V650692 = V405510 + 1. assign V765542 = V706279 + 1. assign V607610 = V427029 - 1. assign V747651 = V561668. assign V672825 = V844944 - 1. assign V032749 = V516854 + 1. assign V564554 = V407495 + 1. assign V074021 = V997977 + 1. assign V023871 = V476588 - 1. assign V856933 = V352792. assign V137815 = V021026. assign V866239 = V581879 - 1. assign V525499 = V074021. assign V725057 = V088710 - 1. assign V561668 = V573288 - 1. assign V225378 = V181109 + 1. assign V373544 = V449566 - 1. assign V226542 = V786848 - 1. assign V792337 = V516854. assign V063121 = V686735. assign V719520 = V792337. assign V714994 = V225378 - 1. assign V427029 = V075578 - 1. assign V597389 = V562106. assign V728846 = V821603 - 1. assign V363463 = V181109 + 1. assign V342855 = V579950. assign V337786 = V581879 - 1. assign V492595 = V607610. assign V117046 = V597389 - 1. assign V706279 = V108912 + 1. assign V529643 = V065170 - 1. assign V331790 = V866239 + 1. assign V392709 = V880040 + 1. assign V530043 = V821603 + 1. assign V748561 = V531535. assign V756385 = V229371 - 1. assign V641162 = V021026 + 1. assign V872767 = V031931. assign V138201 = V137815 - 1. assign V232617 = V342855 - 1. assign V050269 = V686735 - 1. assign V229371 = V427029. assign V844944 = V075578 - 1. assign V720069 = V075578. assign V663947 = V858295. assign V752840 = V352792 + 1. assign V260906 = V634507 - 1. assign V117211 = V720069 - 1. assign V959119 = V050269. assign V634507 = V821603 - 1. assign V461495 = V342869 + 1. assign V573288 = V050269 - 1. assign V405510 = V821603. assign V069296 = V375044. assign V353934 = V117046 - 1. assign V023309 = V088710 + 1. assign V715463 = V050269 - 1. assign V001604 = V719520 + 1. assign V546849 = V959119. assign V414756 = V581879 + 1. assign V397431 = V031931. assign V476588 = V728846 + 1. assign V557315 = V730341 - 1. assign V434399 = V363463 - 1. assign V065170 = V352792 + 1. assign V582683 = V562106 - 1. assign V997977 = V821603. assign V342813 = V516854 - 1. assign V003936 = V137815. assign V147746 = V260906 + 1. assign V584884 = V449566 + 1. assign V449566 = V748814 + 1. assign V503538 = V342869 + 1. assign V352792 = V821603 + 1. assign V361569 = V786848 + 1. assign V163991 = V997977. assign V031931 = V219518 + 1. assign V786848 = V880040. assign V156920 = V476588 + 1. assign V562106 = V821603. assign V782102 = V334232 - 1. assign V888286 = V260906. assign V021770 = V219518 + 1. assign V142597 = V562106 + 1. assign V705137 = V219518 + 1. assign V219518 = V562106. assign V709119 = V434399 - 1. assign V888303 = V348033. assign V957093 = V181109 - 1. assign V581879 = V728846 - 1. assign V536686 = V866239 + 1. assign V864302 = V330068 - 1. assign V911815 = V728846 - 1. assign V609698 = V880040 - 1. assign V012645 = V395261 - 1. assign V021026 = V065170. assign V127335 = V492172 - 1. assign V075578 = V407495 - 1. assign V828745 = V021026 - 1. assign V032561 = V581879 + 1. assign V579950 = V181109 - 1. assign V891533 = V911815 + 1. assign V451511 = V715463. assign V342869 = V786848. assign V832078 = V050269 - 1. assign V759624 = V219518. assign V880040 = V065170. assign V021792 = V786848 - 1. assign V027039 = V821603 - 1. assign V442186 = V997977. assign V697934 = V225378. assign V858295 = V352792. assign V982844 = V821603 + 1. assign V201491 = V012645. assign V579084 = V003936 + 1. assign V308916 = V021770. assign V249371 = V255851 - 1. assign V146286 = V759624 + 1. assign V054273 = V375044 + 1. assign V730341 = V997977. assign V786552 = V634507. assign V334232 = V516854 - 1. assign V060074 = V476588 + 1. assign V180692 = V405510 + 1. assign V686735 = V219518 - 1. assign V088710 = V516854. assign V138596 = V597389.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V531535 = V088710 + 1. assign V977116 = V748561. assign V909868 = V571926 - 1. assign V522304 = V063121 + 1. assign V812786 = V792337 + 1. assign V900693 = V650692 + 1. assign V543709 = V074021 - 1. assign V042483 = V352792 + 1. assign V395261 = V219518 - 1. assign V330068 = V686735. assign V824135 = V536244 - 1. assign V587339 = 6. assign V424113 = V536686. assign V615571 = V573288 - 1. assign V421763 = V021792. assign V349711 = V879220. assign V748814 = V352792 + 1. assign V112166 = V880040 - 1. assign V818796 = V812786 - 1. assign V485649 = V564554 + 1. assign V777232 = V752840 + 1. assign V534150 = V705137 - 1. assign V994576 = V579084 - 1. assign V943932 = V395261. assign V375044 = V065170. assign V108912 = V997977 + 1. assign V571926 = V597389. assign V879220 = V686735. assign V891260 = V503538 - 1. assign V800621 = V587339 - 1. assign V536244 = V088710. assign V492172 = V765542. assign V469395 = V959119. assign V129456 = V828745. assign V407495 = V856933 + 1. assign V181109 = V581879 - 1. assign V967883 = V561668. assign V110061 = V821603 - 1. assign V348033 = V725057. assign V516854 = V821603. assign V444820 = V818796. assign V255851 = V373544 + 1. assign V341907 = V342813 + 1. assign V308030 = V110061 - 1. assign V650692 = V405510 + 1. assign V765542 = V706279 + 1. assign V607610 = V427029 - 1. assign V747651 = V561668. assign V672825 = V844944 - 1. assign V032749 = V516854 + 1. assign V564554 = V407495 + 1. assign V074021 = V997977 + 1. assign V023871 = V476588 - 1. assign V856933 = V352792. assign V137815 = V021026. assign V866239 = V581879 - 1. assign V525499 = V074021. assign V725057 = V088710 - 1. assign V561668 = V573288 - 1. assign V225378 = V181109 + 1. assign V373544 = V449566 - 1. assign V226542 = V786848 - 1. assign V792337 = V516854. assign V063121 = V686735. assign V719520 = V792337. assign V714994 = V225378 - 1. assign V427029 = V075578 - 1. assign V597389 = V562106. assign V728846 = V821603 - 1. assign V363463 = V181109 + 1. assign V342855 = V579950. assign V337786 = V581879 - 1. assign V492595 = V607610. assign V117046 = V597389 - 1. assign V706279 = V108912 + 1. assign V529643 = V065170 - 1. assign V331790 = V866239 + 1. assign V392709 = V880040 + 1. assign V530043 = V821603 + 1. assign V748561 = V531535. assign V756385 = V229371 - 1. assign V641162 = V021026 + 1. assign V872767 = V031931. assign V138201 = V137815 - 1. assign V232617 = V342855 - 1. assign V050269 = V686735 - 1. assign V229371 = V427029. assign V844944 = V075578 - 1. assign V720069 = V075578. assign V663947 = V858295. assign V752840 = V352792 + 1. assign V260906 = V634507 - 1. assign V117211 = V720069 - 1. assign V959119 = V050269. assign V634507 = V821603 - 1. assign V461495 = V342869 + 1. assign V573288 = V050269 - 1. assign V405510 = V821603. assign V069296 = V375044. assign V353934 = V117046 - 1. assign V023309 = V088710 + 1. assign V715463 = V050269 - 1. assign V001604 = V719520 + 1. assign V546849 = V959119. assign V414756 = V581879 + 1. assign V397431 = V031931. assign V476588 = V728846 + 1. assign V557315 = V730341 - 1. assign V434399 = V363463 - 1. assign V065170 = V352792 + 1. assign V582683 = V562106 - 1. assign V997977 = V821603. assign V342813 = V516854 - 1. assign V003936 = V137815. assign V147746 = V260906 + 1. assign V584884 = V449566 + 1. assign V449566 = V748814 + 1. assign V503538 = V342869 + 1. assign V352792 = V821603 + 1. assign V361569 = V786848 + 1. assign V163991 = V997977. assign V031931 = V219518 + 1. assign V786848 = V880040. assign V156920 = V476588 + 1. assign V562106 = V821603. assign V782102 = V334232 - 1. assign V888286 = V260906. assign V021770 = V219518 + 1. assign V142597 = V562106 + 1. assign V705137 = V219518 + 1. assign V219518 = V562106. assign V709119 = V434399 - 1. assign V888303 = V348033. assign V957093 = V181109 - 1. assign V581879 = V728846 - 1. assign V536686 = V866239 + 1. assign V864302 = V330068 - 1. assign V911815 = V728846 - 1. assign V609698 = V880040 - 1. assign V012645 = V395261 - 1. assign V021026 = V065170. assign V127335 = V492172 - 1. assign V075578 = V407495 - 1. assign V828745 = V021026 - 1. assign V032561 = V581879 + 1. assign V579950 = V181109 - 1. assign V891533 = V911815 + 1. assign V451511 = V715463. assign V342869 = V786848. assign V832078 = V050269 - 1. assign V759624 = V219518. assign V880040 = V065170. assign V021792 = V786848 - 1. assign V027039 = V821603 - 1. assign V442186 = V997977. assign V697934 = V225378. assign V858295 = V352792. assign V982844 = V821603 + 1. assign V201491 = V012645. assign V579084 = V003936 + 1. assign V308916 = V021770. assign V249371 = V255851 - 1. assign V146286 = V759624 + 1. assign V054273 = V375044 + 1. assign V730341 = V997977. assign V786552 = V634507. assign V334232 = V516854 - 1. assign V060074 = V476588 + 1. assign V180692 = V405510 + 1. assign V686735 = V219518 - 1. assign V088710 = V516854. assign V138596 = V597389.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV587339 = 6;\n\nFrom these direct assignment(s), we have: \nV800621 = V587339 - 1 = 6 - 1 =5;\nNo other variables can be derived from V800621;\nNo other variables can be derived from V587339;\n\nNow we have done all the calculations. Derived variables are:\nV587339 = 6;\nV800621 = 5;\n\nNow we have finished this problem. ANSWER:\nV800621\n", "role": "assistant" } ]

[ "V515234", "V172385" ]

[ { "content": "<context>\nassign V623997 = V057317 + 1. assign V149880 = V057317 - 1. assign V584400 = V603538. assign V051392 = V863361 + 1. assign V569443 = V064294. assign V535046 = V309104 + 1. assign V808008 = V696075. assign V232710 = V534949 + 1. assign V965419 = V904568. assign V904568 = V960354 + 1. assign V254859 = V177966 + 1. assign V910374 = V436187. assign V392213 = V233101 + 1. assign V849926 = V863361 + 1. assign V885717 = V133952. assign V298443 = V968004 + 1. assign V804444 = V816804. assign V325205 = V960354 - 1. assign V777716 = V820546 + 1. assign V848579 = V535109 - 1. assign V321283 = V064294 - 1. assign V009485 = V484877 - 1. assign V164257 = V271452 - 1. assign V514969 = V222227. assign V342023 = V820546. assign V555249 = V051392 - 1. assign V188650 = V416189. assign V879498 = V910374. assign V534949 = V696075 - 1. assign V721970 = V960354 + 1. assign V982488 = V636579 - 1. assign V720321 = V818290. assign V326519 = V133952 + 1. assign V775183 = V535109 + 1. assign V818290 = V981464. assign V300771 = V177367 + 1. assign V296950 = V177367 - 1. assign V140226 = V342023 + 1. assign V719506 = V330559 - 1. assign V592088 = V816804 + 1. assign V636579 = V094174 - 1. assign V613892 = V325205 - 1. assign V222227 = V330559 - 1. assign V006510 = V846558. assign V177367 = V484447 - 1. assign V462570 = V133952 - 1. assign V057317 = V484447 + 1. assign V853544 = V325205 - 1. assign V064294 = V864256 + 1. assign V693256 = V086140 + 1. assign V291568 = V321511. assign V127291 = V395848 - 1. assign V233101 = V177367. assign V133952 = V177367 + 1. assign V186529 = V484447 + 1. assign V479419 = V846558 - 1. assign V067031 = V483164 - 1. assign V832032 = V309104 + 1. assign V658225 = V696075 - 1. assign V963554 = V914397. assign V204150 = V254859 - 1. assign V033250 = V998769 - 1. assign V939770 = V353403 + 1. assign V172385 = V515234. assign V483164 = V296950. assign V416189 = V623997 - 1. assign V185695 = V064294. assign V845383 = V693256. assign V736716 = V721970 - 1. assign V708706 = V876932 + 1. assign V086140 = V174930 + 1. assign V605892 = V904568. assign V423977 = V204150 - 1. assign V436187 = V133952 + 1. assign V174930 = V605892 - 1. assign V395848 = V923667 - 1. assign V040405 = V849926. assign V510813 = V174930 - 1. assign V673015 = V423977. assign V923667 = V177367. assign V245781 = V968004 - 1. assign V491929 = V233101. assign V693239 = V271452 + 1. assign V158638 = V501392 - 1. assign V117335 = V636579 - 1. assign V709534 = V040405 - 1. assign V699109 = V051392. assign V876932 = V164257 - 1. assign V816804 = V484447 - 1. assign V051611 = V309104 - 1. assign V968004 = V401234 - 1. assign V725244 = V086140 + 1. assign V763561 = V820546 - 1. assign V321511 = V133952. assign V346608 = V849926. assign V246952 = V636579 + 1. assign V661231 = V296950. assign V177966 = V904568 + 1. assign V820546 = V864256 - 1. assign V440930 = V033250 + 1. assign V863361 = V484447 + 1. assign V981464 = V300771. assign V927323 = V849926 - 1. assign V968719 = V086140 - 1. assign V699198 = V395848 + 1. assign V677023 = V204150 + 1. assign V631225 = V222227. assign V247319 = V126448 - 1. assign V223455 = V185695 + 1. assign V107828 = V887455 + 1. assign V252031 = V233101. assign V911702 = V673015 - 1. assign V094174 = V174930. assign V126448 = V321511 - 1. assign V154098 = V863361 - 1. assign V265745 = V849926 - 1. assign V515234 = 4. assign V662817 = V806716. assign V891392 = V996901 + 1. assign V116913 = V605753 - 1. assign V503394 = V067031 + 1. assign V914397 = V222227 - 1. assign V330559 = V177367 - 1. assign V912930 = V605892 - 1. assign V271452 = V904568 - 1. assign V096286 = V346608. assign V960354 = V177367. assign V484877 = V392213 - 1. assign V353403 = V535109. assign V603538 = V604203 + 1. assign V136634 = V177966 + 1. assign V364258 = V848579 - 1. assign V341062 = V177367 + 1. assign V562222 = V848579 - 1. assign V996901 = V177966 - 1. assign V322122 = V846558 - 1. assign V698723 = V535109 - 1. assign V686340 = V777716 + 1. assign V401234 = V623997. assign V846558 = V719506 - 1. assign V789022 = V679365 - 1. assign V605753 = V325205 - 1. assign V887455 = V808008 - 1. assign V040823 = V117335. assign V998769 = V136634 - 1. assign V715746 = V326519. assign V851321 = V708706 - 1. assign V452613 = V233101. assign V864256 = V177367. assign V211740 = V725244 + 1. assign V086445 = V592088 - 1. assign V168797 = V876932 + 1. assign V999991 = V849926. assign V806716 = V775183 - 1. assign V400504 = V086140. assign V124131 = V177966 - 1. assign V679365 = V484447 - 1. assign V473906 = V910374 - 1. assign V604203 = V296950. assign V696075 = V864256. assign V559810 = V177367. assign V516655 = V395848 - 1. assign V387384 = V679365 + 1. assign V715056 = V910374 - 1. assign V907971 = V400504. assign V535109 = V885717 + 1. assign V273458 = V605753 + 1. assign V522866 = V912930 - 1. assign V309104 = V885717 + 1. assign V465330 = V491929. assign V513726 = V719506 - 1. assign V501392 = V864256 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V623997 = V057317 + 1. assign V149880 = V057317 - 1. assign V584400 = V603538. assign V051392 = V863361 + 1. assign V569443 = V064294. assign V535046 = V309104 + 1. assign V808008 = V696075. assign V232710 = V534949 + 1. assign V965419 = V904568. assign V904568 = V960354 + 1. assign V254859 = V177966 + 1. assign V910374 = V436187. assign V392213 = V233101 + 1. assign V849926 = V863361 + 1. assign V885717 = V133952. assign V298443 = V968004 + 1. assign V804444 = V816804. assign V325205 = V960354 - 1. assign V777716 = V820546 + 1. assign V848579 = V535109 - 1. assign V321283 = V064294 - 1. assign V009485 = V484877 - 1. assign V164257 = V271452 - 1. assign V514969 = V222227. assign V342023 = V820546. assign V555249 = V051392 - 1. assign V188650 = V416189. assign V879498 = V910374. assign V534949 = V696075 - 1. assign V721970 = V960354 + 1. assign V982488 = V636579 - 1. assign V720321 = V818290. assign V326519 = V133952 + 1. assign V775183 = V535109 + 1. assign V818290 = V981464. assign V300771 = V177367 + 1. assign V296950 = V177367 - 1. assign V140226 = V342023 + 1. assign V719506 = V330559 - 1. assign V592088 = V816804 + 1. assign V636579 = V094174 - 1. assign V613892 = V325205 - 1. assign V222227 = V330559 - 1. assign V006510 = V846558. assign V177367 = V484447 - 1. assign V462570 = V133952 - 1. assign V057317 = V484447 + 1. assign V853544 = V325205 - 1. assign V064294 = V864256 + 1. assign V693256 = V086140 + 1. assign V291568 = V321511. assign V127291 = V395848 - 1. assign V233101 = V177367. assign V133952 = V177367 + 1. assign V186529 = V484447 + 1. assign V479419 = V846558 - 1. assign V067031 = V483164 - 1. assign V832032 = V309104 + 1. assign V658225 = V696075 - 1. assign V963554 = V914397. assign V204150 = V254859 - 1. assign V033250 = V998769 - 1. assign V939770 = V353403 + 1. assign V172385 = V515234. assign V483164 = V296950. assign V416189 = V623997 - 1. assign V185695 = V064294. assign V845383 = V693256. assign V736716 = V721970 - 1. assign V708706 = V876932 + 1. assign V086140 = V174930 + 1. assign V605892 = V904568. assign V423977 = V204150 - 1. assign V436187 = V133952 + 1. assign V174930 = V605892 - 1. assign V395848 = V923667 - 1. assign V040405 = V849926. assign V510813 = V174930 - 1. assign V673015 = V423977. assign V923667 = V177367. assign V245781 = V968004 - 1. assign V491929 = V233101. assign V693239 = V271452 + 1. assign V158638 = V501392 - 1. assign V117335 = V636579 - 1. assign V709534 = V040405 - 1. assign V699109 = V051392. assign V876932 = V164257 - 1. assign V816804 = V484447 - 1. assign V051611 = V309104 - 1. assign V968004 = V401234 - 1. assign V725244 = V086140 + 1. assign V763561 = V820546 - 1. assign V321511 = V133952. assign V346608 = V849926. assign V246952 = V636579 + 1. assign V661231 = V296950. assign V177966 = V904568 + 1. assign V820546 = V864256 - 1. assign V440930 = V033250 + 1. assign V863361 = V484447 + 1. assign V981464 = V300771. assign V927323 = V849926 - 1. assign V968719 = V086140 - 1. assign V699198 = V395848 + 1. assign V677023 = V204150 + 1. assign V631225 = V222227. assign V247319 = V126448 - 1. assign V223455 = V185695 + 1. assign V107828 = V887455 + 1. assign V252031 = V233101. assign V911702 = V673015 - 1. assign V094174 = V174930. assign V126448 = V321511 - 1. assign V154098 = V863361 - 1. assign V265745 = V849926 - 1. assign V515234 = 4. assign V662817 = V806716. assign V891392 = V996901 + 1. assign V116913 = V605753 - 1. assign V503394 = V067031 + 1. assign V914397 = V222227 - 1. assign V330559 = V177367 - 1. assign V912930 = V605892 - 1. assign V271452 = V904568 - 1. assign V096286 = V346608. assign V960354 = V177367. assign V484877 = V392213 - 1. assign V353403 = V535109. assign V603538 = V604203 + 1. assign V136634 = V177966 + 1. assign V364258 = V848579 - 1. assign V341062 = V177367 + 1. assign V562222 = V848579 - 1. assign V996901 = V177966 - 1. assign V322122 = V846558 - 1. assign V698723 = V535109 - 1. assign V686340 = V777716 + 1. assign V401234 = V623997. assign V846558 = V719506 - 1. assign V789022 = V679365 - 1. assign V605753 = V325205 - 1. assign V887455 = V808008 - 1. assign V040823 = V117335. assign V998769 = V136634 - 1. assign V715746 = V326519. assign V851321 = V708706 - 1. assign V452613 = V233101. assign V864256 = V177367. assign V211740 = V725244 + 1. assign V086445 = V592088 - 1. assign V168797 = V876932 + 1. assign V999991 = V849926. assign V806716 = V775183 - 1. assign V400504 = V086140. assign V124131 = V177966 - 1. assign V679365 = V484447 - 1. assign V473906 = V910374 - 1. assign V604203 = V296950. assign V696075 = V864256. assign V559810 = V177367. assign V516655 = V395848 - 1. assign V387384 = V679365 + 1. assign V715056 = V910374 - 1. assign V907971 = V400504. assign V535109 = V885717 + 1. assign V273458 = V605753 + 1. assign V522866 = V912930 - 1. assign V309104 = V885717 + 1. assign V465330 = V491929. assign V513726 = V719506 - 1. assign V501392 = V864256 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV515234 = 4;\n\nFrom these direct assignment(s), we have: \nV172385 = V515234 = 4;\nNo other variables can be derived from V172385;\nNo other variables can be derived from V515234;\n\nNow we have done all the calculations. Derived variables are:\nV515234 = 4;\nV172385 = 4;\n\nNow we have finished this problem. ANSWER:\nV515234, V172385\n", "role": "assistant" } ]

[ "V962362" ]

[ { "content": "<context>\nassign V585337 = V038271 - 1. assign V038271 = V603875 + 1. assign V652418 = V703986 + 1. assign V153605 = V703986. assign V246342 = V038271 - 1. assign V806921 = V038271. assign V674935 = V703986. assign V184635 = V301554 + 1. assign V704513 = V833631 + 1. assign V435057 = V249484. assign V419543 = V038271 + 1. assign V886126 = V781119. assign V386801 = V035976 - 1. assign V617905 = V603875. assign V138227 = V009881 + 1. assign V973145 = V655285 + 1. assign V592019 = V523381. assign V323074 = V468290 - 1. assign V802662 = V492903. assign V481235 = V523381. assign V648736 = V377405 + 1. assign V794769 = V585337 - 1. assign V970614 = V588935 - 1. assign V768924 = V282735. assign V249484 = V831840 - 1. assign V588935 = V610353. assign V035903 = V030072 - 1. assign V962362 = 4. assign V723396 = V655285 + 1. assign V451137 = V918235 + 1. assign V160377 = V627301 - 1. assign V511749 = V282735 + 1. assign V355931 = V831840. assign V798635 = V070486 - 1. assign V282735 = V136093 + 1. assign V324876 = V245901. assign V124782 = V196828. assign V280966 = V030072 - 1. assign V641395 = V020543 + 1. assign V252045 = V518309 - 1. assign V542695 = V028365. assign V110749 = V030840 - 1. assign V521963 = V371506 - 1. assign V981992 = V035903. assign V835249 = V377405 - 1. assign V405910 = V346504 + 1. assign V148393 = V038271. assign V416067 = V578137. assign V136093 = V617905 + 1. assign V241730 = V451137. assign V033160 = V948182. assign V209654 = V391336 + 1. assign V919302 = V680636 - 1. assign V297138 = V451137. assign V807723 = V195950 - 1. assign V171843 = V586365. assign V817795 = V048389 - 1. assign V916552 = V442309 + 1. assign V377405 = V585337. assign V195950 = V148393. assign V518309 = V879669 + 1. assign V249541 = V567582. assign V224299 = V525945 - 1. assign V540100 = V043353 + 1. assign V578137 = V641395 + 1. assign V473235 = V089443. assign V117000 = V030072 - 1. assign V663847 = V136093. assign V330236 = V886126 - 1. assign V611126 = V948182 - 1. assign V464886 = V648736. assign V808611 = V525945 - 1. assign V179963 = V442309 + 1. assign V699186 = V241730 + 1. assign V833631 = V030072 - 1. assign V350189 = V030072 + 1. assign V147625 = V249541 + 1. assign V347381 = V371506 - 1. assign V572579 = V585337 + 1. assign V009881 = V807723 + 1. assign V210587 = V833631 - 1. assign V654655 = V572028 - 1. assign V923980 = V641395 - 1. assign V461918 = V080163 - 1. assign V945329 = V617905 - 1. assign V831840 = V981992. assign V756004 = V153605. assign V572028 = V492903 + 1. assign V294078 = V827875. assign V992609 = V196828 + 1. assign V461102 = V323074. assign V627301 = V985091. assign V332150 = V030072 - 1. assign V659978 = V617905 - 1. assign V428283 = V282735. assign V525945 = V280966 + 1. assign V043353 = V304991 + 1. assign V089443 = V035903. assign V559298 = V655285 - 1. assign V346504 = V968130. assign V523381 = V918235. assign V367297 = V249484 - 1. assign V927354 = V916552. assign V621837 = V171843 - 1. assign V985091 = V703986 - 1. assign V505685 = V280966 + 1. assign V303673 = V209654 - 1. assign V371506 = V035976 + 1. assign V944177 = V147625 - 1. assign V959293 = V030072 - 1. assign V693146 = V802662 - 1. assign V725010 = V043353 + 1. assign V326508 = V355931 + 1. assign V703986 = V603875. assign V610353 = V035903 + 1. assign V812128 = V448886. assign V883595 = V611126 - 1. assign V567582 = V652418 - 1. assign V879669 = V209654 + 1. assign V350907 = V183966 + 1. assign V143785 = V959293. assign V586950 = V835249. assign V749365 = V030072. assign V898169 = V706595. assign V077165 = V627301 - 1. assign V030840 = V627301. assign V748004 = V835249 - 1. assign V346079 = V371506. assign V094853 = V451137 - 1. assign V398902 = V038271. assign V767005 = V831840 - 1. assign V030072 = V585337 - 1. assign V048389 = V603875. assign V195939 = V572028 + 1. assign V948182 = V301554. assign V028365 = V089443 + 1. assign V772481 = V183966 + 1. assign V706595 = V035976. assign V070486 = V808611 - 1. assign V492903 = V567582. assign V781119 = V148393. assign V682892 = V603875 + 1. assign V020543 = V056850 + 1. assign V442309 = V183966 - 1. assign V395669 = V009881 + 1. assign V301554 = V981992. assign V655285 = V586365 - 1. assign V080163 = V035976. assign V918235 = V585337. assign V214389 = V245901 - 1. assign V207066 = V567582 - 1. assign V411296 = V033160 - 1. assign V035976 = V030072 - 1. assign V391336 = V586365 + 1. assign V448886 = V089443 + 1. assign V246193 = V183966 + 1. assign V293828 = V473235. assign V245901 = V398902 + 1. assign V060287 = V706595. assign V968130 = V332150. assign V468290 = V985091 - 1. assign V304991 = V451137 + 1. assign V196828 = V473235 + 1. assign V823770 = V148393 + 1. assign V360957 = V962362 + 1. assign V056850 = V588935 + 1. assign V586365 = V371506. assign V183966 = V523381 - 1. assign V827875 = V183966. assign V175000 = V195950 + 1. assign V233794 = V572028 - 1. assign V680636 = V332150 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V585337 = V038271 - 1. assign V038271 = V603875 + 1. assign V652418 = V703986 + 1. assign V153605 = V703986. assign V246342 = V038271 - 1. assign V806921 = V038271. assign V674935 = V703986. assign V184635 = V301554 + 1. assign V704513 = V833631 + 1. assign V435057 = V249484. assign V419543 = V038271 + 1. assign V886126 = V781119. assign V386801 = V035976 - 1. assign V617905 = V603875. assign V138227 = V009881 + 1. assign V973145 = V655285 + 1. assign V592019 = V523381. assign V323074 = V468290 - 1. assign V802662 = V492903. assign V481235 = V523381. assign V648736 = V377405 + 1. assign V794769 = V585337 - 1. assign V970614 = V588935 - 1. assign V768924 = V282735. assign V249484 = V831840 - 1. assign V588935 = V610353. assign V035903 = V030072 - 1. assign V962362 = 4. assign V723396 = V655285 + 1. assign V451137 = V918235 + 1. assign V160377 = V627301 - 1. assign V511749 = V282735 + 1. assign V355931 = V831840. assign V798635 = V070486 - 1. assign V282735 = V136093 + 1. assign V324876 = V245901. assign V124782 = V196828. assign V280966 = V030072 - 1. assign V641395 = V020543 + 1. assign V252045 = V518309 - 1. assign V542695 = V028365. assign V110749 = V030840 - 1. assign V521963 = V371506 - 1. assign V981992 = V035903. assign V835249 = V377405 - 1. assign V405910 = V346504 + 1. assign V148393 = V038271. assign V416067 = V578137. assign V136093 = V617905 + 1. assign V241730 = V451137. assign V033160 = V948182. assign V209654 = V391336 + 1. assign V919302 = V680636 - 1. assign V297138 = V451137. assign V807723 = V195950 - 1. assign V171843 = V586365. assign V817795 = V048389 - 1. assign V916552 = V442309 + 1. assign V377405 = V585337. assign V195950 = V148393. assign V518309 = V879669 + 1. assign V249541 = V567582. assign V224299 = V525945 - 1. assign V540100 = V043353 + 1. assign V578137 = V641395 + 1. assign V473235 = V089443. assign V117000 = V030072 - 1. assign V663847 = V136093. assign V330236 = V886126 - 1. assign V611126 = V948182 - 1. assign V464886 = V648736. assign V808611 = V525945 - 1. assign V179963 = V442309 + 1. assign V699186 = V241730 + 1. assign V833631 = V030072 - 1. assign V350189 = V030072 + 1. assign V147625 = V249541 + 1. assign V347381 = V371506 - 1. assign V572579 = V585337 + 1. assign V009881 = V807723 + 1. assign V210587 = V833631 - 1. assign V654655 = V572028 - 1. assign V923980 = V641395 - 1. assign V461918 = V080163 - 1. assign V945329 = V617905 - 1. assign V831840 = V981992. assign V756004 = V153605. assign V572028 = V492903 + 1. assign V294078 = V827875. assign V992609 = V196828 + 1. assign V461102 = V323074. assign V627301 = V985091. assign V332150 = V030072 - 1. assign V659978 = V617905 - 1. assign V428283 = V282735. assign V525945 = V280966 + 1. assign V043353 = V304991 + 1. assign V089443 = V035903. assign V559298 = V655285 - 1. assign V346504 = V968130. assign V523381 = V918235. assign V367297 = V249484 - 1. assign V927354 = V916552. assign V621837 = V171843 - 1. assign V985091 = V703986 - 1. assign V505685 = V280966 + 1. assign V303673 = V209654 - 1. assign V371506 = V035976 + 1. assign V944177 = V147625 - 1. assign V959293 = V030072 - 1. assign V693146 = V802662 - 1. assign V725010 = V043353 + 1. assign V326508 = V355931 + 1. assign V703986 = V603875. assign V610353 = V035903 + 1. assign V812128 = V448886. assign V883595 = V611126 - 1. assign V567582 = V652418 - 1. assign V879669 = V209654 + 1. assign V350907 = V183966 + 1. assign V143785 = V959293. assign V586950 = V835249. assign V749365 = V030072. assign V898169 = V706595. assign V077165 = V627301 - 1. assign V030840 = V627301. assign V748004 = V835249 - 1. assign V346079 = V371506. assign V094853 = V451137 - 1. assign V398902 = V038271. assign V767005 = V831840 - 1. assign V030072 = V585337 - 1. assign V048389 = V603875. assign V195939 = V572028 + 1. assign V948182 = V301554. assign V028365 = V089443 + 1. assign V772481 = V183966 + 1. assign V706595 = V035976. assign V070486 = V808611 - 1. assign V492903 = V567582. assign V781119 = V148393. assign V682892 = V603875 + 1. assign V020543 = V056850 + 1. assign V442309 = V183966 - 1. assign V395669 = V009881 + 1. assign V301554 = V981992. assign V655285 = V586365 - 1. assign V080163 = V035976. assign V918235 = V585337. assign V214389 = V245901 - 1. assign V207066 = V567582 - 1. assign V411296 = V033160 - 1. assign V035976 = V030072 - 1. assign V391336 = V586365 + 1. assign V448886 = V089443 + 1. assign V246193 = V183966 + 1. assign V293828 = V473235. assign V245901 = V398902 + 1. assign V060287 = V706595. assign V968130 = V332150. assign V468290 = V985091 - 1. assign V304991 = V451137 + 1. assign V196828 = V473235 + 1. assign V823770 = V148393 + 1. assign V360957 = V962362 + 1. assign V056850 = V588935 + 1. assign V586365 = V371506. assign V183966 = V523381 - 1. assign V827875 = V183966. assign V175000 = V195950 + 1. assign V233794 = V572028 - 1. assign V680636 = V332150 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV962362 = 4;\n\nFrom these direct assignment(s), we have: \nV360957 = V962362 + 1 = 4 + 1 =5;\nNo other variables can be derived from V360957;\nNo other variables can be derived from V962362;\n\nNow we have done all the calculations. Derived variables are:\nV962362 = 4;\nV360957 = 5;\n\nNow we have finished this problem. ANSWER:\nV962362\n", "role": "assistant" } ]

[ "V723734" ]

[ { "content": "<context>\nassign V303787 = V908197 - 1. assign V940464 = V469005 - 1. assign V489390 = V560881 - 1. assign V454682 = V164883. assign V306665 = V322946. assign V541299 = V349398 + 1. assign V655544 = V312244. assign V621378 = V998762 - 1. assign V770050 = V602363 + 1. assign V078669 = V976224. assign V872175 = V459589 + 1. assign V402817 = V164883 - 1. assign V136882 = V176829 - 1. assign V042434 = V826552. assign V350506 = V065542 - 1. assign V217225 = V402817. assign V083938 = V526950. assign V453090 = V955667 + 1. assign V896125 = V770564. assign V759336 = V621378 - 1. assign V004330 = V238193. assign V549036 = V091179 + 1. assign V896239 = V706026 + 1. assign V571211 = V065542 + 1. assign V148853 = V280289. assign V322946 = V115216 + 1. assign V102795 = V391826 - 1. assign V156309 = V098199. assign V170550 = V280289 + 1. assign V001808 = V519584. assign V162188 = V112971 - 1. assign V988916 = V402817 + 1. assign V824994 = V454682. assign V066609 = V449741 + 1. assign V544666 = V164883 + 1. assign V908197 = V164883. assign V908601 = V807309. assign V907414 = V349398. assign V566332 = V164883. assign V015654 = V325203 - 1. assign V698281 = V896125. assign V526950 = V391826 + 1. assign V325228 = V908197. assign V670608 = V233674 + 1. assign V962414 = V454682 + 1. assign V053492 = V043714 - 1. assign V204987 = V236485 - 1. assign V736332 = V860825 - 1. assign V026861 = V102795. assign V305748 = V449741 + 1. assign V706026 = V238952 - 1. assign V906903 = V745639 - 1. assign V101347 = V078669. assign V558541 = V976224 - 1. assign V944266 = V519584. assign V741691 = V988916. assign V947817 = V349398. assign V713296 = V508270 - 1. assign V233674 = V164883. assign V236563 = V312244 - 1. assign V312244 = V670608 - 1. assign V358397 = V770050. assign V948892 = V216421 - 1. assign V773956 = V280117 - 1. assign V079949 = V955667 - 1. assign V770352 = V001085 + 1. assign V999675 = V869899 - 1. assign V258535 = V238415 - 1. assign V442673 = V098199. assign V862792 = V102795 - 1. assign V449741 = V909973 - 1. assign V884952 = V741691 - 1. assign V176829 = V807309 + 1. assign V699081 = V211875 + 1. assign V791078 = V713296 - 1. assign V748481 = V220219 + 1. assign V860825 = V988916 - 1. assign V280117 = V869899 + 1. assign V000461 = V480811 - 1. assign V470024 = V469005 - 1. assign V662084 = V114377 - 1. assign V238415 = V480811. assign V272186 = V238193 + 1. assign V591973 = V102795 - 1. assign V931430 = V767144 + 1. assign V868447 = V023349 - 1. assign V508270 = V325228. assign V469005 = V591973. assign V008500 = V955667 - 1. assign V356392 = V236563 - 1. assign V909973 = V232053 + 1. assign V264941 = V280289. assign V242948 = V999675 + 1. assign V016937 = V723734 + 1. assign V635254 = V948892 + 1. assign V689967 = V560881 + 1. assign V816310 = V098199 - 1. assign V684437 = V176829 - 1. assign V226490 = V560881. assign V071141 = V449741 - 1. assign V573274 = V706026 + 1. assign V164883 = V621378. assign V141972 = V164883. assign V103747 = V621378. assign V639030 = V519584. assign V280289 = V453090. assign V233763 = V541299 + 1. assign V391826 = V232053 - 1. assign V241917 = V065542 + 1. assign V892272 = V689967 + 1. assign V826552 = V591973 - 1. assign V115216 = V621378 + 1. assign V383695 = V280289 + 1. assign V238952 = V814472 - 1. assign V816037 = V962414 + 1. assign V325203 = V745639. assign V770564 = V591973 + 1. assign V814472 = V770050 - 1. assign V519584 = V560881 + 1. assign V671282 = V226490 - 1. assign V492980 = V217225 + 1. assign V043714 = V621378 - 1. assign V132962 = V043714. assign V979221 = V508270 - 1. assign V807309 = V869899. assign V236485 = V304715 + 1. assign V554655 = V998762 - 1. assign V304012 = V325203 - 1. assign V185913 = V490358 - 1. assign V998762 = V232053 + 1. assign V723734 = 10. assign V767144 = V053492 - 1. assign V480811 = V454682 + 1. assign V976224 = V770564. assign V459589 = V449741 - 1. assign V114377 = V078669. assign V817821 = V745639 + 1. assign V023349 = V480811. assign V223115 = V892272 - 1. assign V560881 = V869899. assign V238193 = V312244 - 1. assign V790313 = V303787 - 1. assign V065542 = V745639. assign V349398 = V164883 + 1. assign V152953 = V713296 - 1. assign V490358 = V976224 + 1. assign V448531 = V226490 + 1. assign V098199 = V816037 + 1. assign V869899 = V908197 + 1. assign V450069 = V940464. assign V602363 = V349398 - 1. assign V211875 = V558541 - 1. assign V745639 = V449741. assign V001085 = V591973 - 1. assign V962299 = V280289 + 1. assign V216421 = V816310. assign V112971 = V053492. assign V580848 = V814472. assign V220219 = V000461 + 1. assign V366828 = V233763 + 1. assign V062010 = V148853. assign V955667 = V043714. assign V304715 = V220219 - 1. assign V461266 = V232053 + 1. assign V829346 = V258535 - 1. assign V535317 = V101347 - 1. assign V091179 = V000461 - 1. assign V529808 = V489390 + 1. assign V628896 = V079949. assign V740192 = V566332. assign V749893 = V220219 - 1. assign V761598 = V079949 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V303787 = V908197 - 1. assign V940464 = V469005 - 1. assign V489390 = V560881 - 1. assign V454682 = V164883. assign V306665 = V322946. assign V541299 = V349398 + 1. assign V655544 = V312244. assign V621378 = V998762 - 1. assign V770050 = V602363 + 1. assign V078669 = V976224. assign V872175 = V459589 + 1. assign V402817 = V164883 - 1. assign V136882 = V176829 - 1. assign V042434 = V826552. assign V350506 = V065542 - 1. assign V217225 = V402817. assign V083938 = V526950. assign V453090 = V955667 + 1. assign V896125 = V770564. assign V759336 = V621378 - 1. assign V004330 = V238193. assign V549036 = V091179 + 1. assign V896239 = V706026 + 1. assign V571211 = V065542 + 1. assign V148853 = V280289. assign V322946 = V115216 + 1. assign V102795 = V391826 - 1. assign V156309 = V098199. assign V170550 = V280289 + 1. assign V001808 = V519584. assign V162188 = V112971 - 1. assign V988916 = V402817 + 1. assign V824994 = V454682. assign V066609 = V449741 + 1. assign V544666 = V164883 + 1. assign V908197 = V164883. assign V908601 = V807309. assign V907414 = V349398. assign V566332 = V164883. assign V015654 = V325203 - 1. assign V698281 = V896125. assign V526950 = V391826 + 1. assign V325228 = V908197. assign V670608 = V233674 + 1. assign V962414 = V454682 + 1. assign V053492 = V043714 - 1. assign V204987 = V236485 - 1. assign V736332 = V860825 - 1. assign V026861 = V102795. assign V305748 = V449741 + 1. assign V706026 = V238952 - 1. assign V906903 = V745639 - 1. assign V101347 = V078669. assign V558541 = V976224 - 1. assign V944266 = V519584. assign V741691 = V988916. assign V947817 = V349398. assign V713296 = V508270 - 1. assign V233674 = V164883. assign V236563 = V312244 - 1. assign V312244 = V670608 - 1. assign V358397 = V770050. assign V948892 = V216421 - 1. assign V773956 = V280117 - 1. assign V079949 = V955667 - 1. assign V770352 = V001085 + 1. assign V999675 = V869899 - 1. assign V258535 = V238415 - 1. assign V442673 = V098199. assign V862792 = V102795 - 1. assign V449741 = V909973 - 1. assign V884952 = V741691 - 1. assign V176829 = V807309 + 1. assign V699081 = V211875 + 1. assign V791078 = V713296 - 1. assign V748481 = V220219 + 1. assign V860825 = V988916 - 1. assign V280117 = V869899 + 1. assign V000461 = V480811 - 1. assign V470024 = V469005 - 1. assign V662084 = V114377 - 1. assign V238415 = V480811. assign V272186 = V238193 + 1. assign V591973 = V102795 - 1. assign V931430 = V767144 + 1. assign V868447 = V023349 - 1. assign V508270 = V325228. assign V469005 = V591973. assign V008500 = V955667 - 1. assign V356392 = V236563 - 1. assign V909973 = V232053 + 1. assign V264941 = V280289. assign V242948 = V999675 + 1. assign V016937 = V723734 + 1. assign V635254 = V948892 + 1. assign V689967 = V560881 + 1. assign V816310 = V098199 - 1. assign V684437 = V176829 - 1. assign V226490 = V560881. assign V071141 = V449741 - 1. assign V573274 = V706026 + 1. assign V164883 = V621378. assign V141972 = V164883. assign V103747 = V621378. assign V639030 = V519584. assign V280289 = V453090. assign V233763 = V541299 + 1. assign V391826 = V232053 - 1. assign V241917 = V065542 + 1. assign V892272 = V689967 + 1. assign V826552 = V591973 - 1. assign V115216 = V621378 + 1. assign V383695 = V280289 + 1. assign V238952 = V814472 - 1. assign V816037 = V962414 + 1. assign V325203 = V745639. assign V770564 = V591973 + 1. assign V814472 = V770050 - 1. assign V519584 = V560881 + 1. assign V671282 = V226490 - 1. assign V492980 = V217225 + 1. assign V043714 = V621378 - 1. assign V132962 = V043714. assign V979221 = V508270 - 1. assign V807309 = V869899. assign V236485 = V304715 + 1. assign V554655 = V998762 - 1. assign V304012 = V325203 - 1. assign V185913 = V490358 - 1. assign V998762 = V232053 + 1. assign V723734 = 10. assign V767144 = V053492 - 1. assign V480811 = V454682 + 1. assign V976224 = V770564. assign V459589 = V449741 - 1. assign V114377 = V078669. assign V817821 = V745639 + 1. assign V023349 = V480811. assign V223115 = V892272 - 1. assign V560881 = V869899. assign V238193 = V312244 - 1. assign V790313 = V303787 - 1. assign V065542 = V745639. assign V349398 = V164883 + 1. assign V152953 = V713296 - 1. assign V490358 = V976224 + 1. assign V448531 = V226490 + 1. assign V098199 = V816037 + 1. assign V869899 = V908197 + 1. assign V450069 = V940464. assign V602363 = V349398 - 1. assign V211875 = V558541 - 1. assign V745639 = V449741. assign V001085 = V591973 - 1. assign V962299 = V280289 + 1. assign V216421 = V816310. assign V112971 = V053492. assign V580848 = V814472. assign V220219 = V000461 + 1. assign V366828 = V233763 + 1. assign V062010 = V148853. assign V955667 = V043714. assign V304715 = V220219 - 1. assign V461266 = V232053 + 1. assign V829346 = V258535 - 1. assign V535317 = V101347 - 1. assign V091179 = V000461 - 1. assign V529808 = V489390 + 1. assign V628896 = V079949. assign V740192 = V566332. assign V749893 = V220219 - 1. assign V761598 = V079949 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV723734 = 10;\n\nFrom these direct assignment(s), we have: \nV016937 = V723734 + 1 = 10 + 1 =11;\nNo other variables can be derived from V016937;\nNo other variables can be derived from V723734;\n\nNow we have done all the calculations. Derived variables are:\nV723734 = 10;\nV016937 = 11;\n\nNow we have finished this problem. ANSWER:\nV723734\n", "role": "assistant" } ]

[ "V489377", "V417706" ]

[ { "content": "<context>\nassign V435533 = V757246 - 1. assign V108740 = V505669 - 1. assign V506790 = V667136. assign V686658 = V127577 + 1. assign V001404 = V784187. assign V805664 = V286386. assign V891746 = V425507 - 1. assign V258293 = V046434 + 1. assign V667136 = V431485. assign V615033 = V578201. assign V044025 = V444411 + 1. assign V868733 = V805664 + 1. assign V050224 = V644716. assign V472084 = V902705 - 1. assign V373462 = V889670. assign V289661 = V502663 - 1. assign V381516 = V750394. assign V033846 = V848951. assign V150950 = V118670. assign V746844 = V774364 - 1. assign V118670 = V756602 - 1. assign V791105 = V229666 - 1. assign V954385 = V848951. assign V425507 = V037443 - 1. assign V312607 = V684476 + 1. assign V902705 = V485145. assign V684476 = V044025 - 1. assign V847401 = V485145 - 1. assign V194631 = V684975 + 1. assign V684975 = V579442. assign V824001 = V797737 - 1. assign V578201 = V140249. assign V793208 = V879071. assign V055656 = V033846. assign V501817 = V717562 + 1. assign V430625 = V478916. assign V965863 = V435533 - 1. assign V605900 = V532834 - 1. assign V704666 = V076981 - 1. assign V578116 = V805664. assign V634605 = V298505 + 1. assign V924877 = V037443 + 1. assign V431485 = V435533. assign V210447 = V037443 + 1. assign V858352 = V478916 - 1. assign V581899 = V321947 - 1. assign V280035 = V280739. assign V879071 = V478916. assign V118504 = V203075 + 1. assign V681962 = V938596 - 1. assign V374138 = V327466 - 1. assign V200167 = V784187. assign V619077 = V524383 + 1. assign V750394 = V501817 - 1. assign V594325 = V902705 + 1. assign V900642 = V430625. assign V298505 = V076981 - 1. assign V365843 = V340134. assign V524383 = V879071 - 1. assign V717562 = V286386 + 1. assign V187400 = V673245 - 1. assign V058003 = V637770 + 1. assign V942517 = V200167 + 1. assign V821580 = V594325 - 1. assign V550881 = V444411. assign V534812 = V234710. assign V515990 = V460757 + 1. assign V155287 = V444411 + 1. assign V802266 = V076981 + 1. assign V478916 = V076981. assign V234710 = V717562 - 1. assign V637770 = V717562 + 1. assign V953492 = V373462 + 1. assign V220644 = V472084. assign V889670 = V858352. assign V635280 = V431485. assign V417706 = V489377. assign V815433 = V848951 + 1. assign V796201 = V938596. assign V644716 = V594325 - 1. assign V088880 = V090800. assign V780325 = V150950 - 1. assign V803893 = V664114. assign V139899 = V821580 - 1. assign V338928 = V664114. assign V390105 = V797737 + 1. assign V037443 = V501817 + 1. assign V475426 = V758601 - 1. assign V076564 = V686658 + 1. assign V333924 = V764373 + 1. assign V172261 = V058003 - 1. assign V046110 = V390105. assign V848951 = V681962 + 1. assign V578744 = V681962 - 1. assign V229666 = V037443 - 1. assign V666073 = V478916 + 1. assign V638055 = V001404. assign V032684 = V717562. assign V576510 = V076564. assign V460757 = V664114 + 1. assign V857612 = V750394 + 1. assign V327466 = V900642 + 1. assign V322879 = V321947 + 1. assign V203075 = V322879 + 1. assign V586486 = V717562. assign V600354 = V140249 - 1. assign V487413 = V797737 + 1. assign V034432 = V756602 - 1. assign V485145 = V286386 - 1. assign V774364 = V879071 + 1. assign V319665 = V478916 + 1. assign V321947 = V758601 + 1. assign V331707 = V879071 + 1. assign V973180 = V757246 - 1. assign V597276 = V108740 - 1. assign V697361 = V796201 - 1. assign V090800 = V941705 + 1. assign V409523 = V037443 - 1. assign V566099 = V013964. assign V641385 = V654862 + 1. assign V033505 = V381516 + 1. assign V210749 = V821580. assign V076981 = V286386 + 1. assign V127577 = V321947 + 1. assign V297840 = V033846 + 1. assign V505669 = V805664. assign V014356 = V460757. assign V323925 = V684476 + 1. assign V286386 = V938596 + 1. assign V340134 = V857612 + 1. assign V664114 = V090800. assign V693885 = V815433 + 1. assign V862236 = V172261 - 1. assign V673245 = V634605 - 1. assign V317295 = V127577. assign V064177 = V390105. assign V632355 = V793208. assign V941705 = V286386 + 1. assign V757246 = V444411 - 1. assign V743183 = V127577. assign V784187 = V485145. assign V754444 = V055656 - 1. assign V579442 = V058003 - 1. assign V736487 = V667136. assign V444411 = V600354. assign V750362 = V472084 - 1. assign V532834 = V033505. assign V852971 = V058003 - 1. assign V116871 = V784187. assign V797737 = V229666 + 1. assign V140249 = V501817 - 1. assign V338969 = V638055. assign V434493 = V127577. assign V046434 = V460757. assign V986513 = V460757. assign V381310 = V868733 + 1. assign V756602 = V229666. assign V013964 = V717562. assign V853825 = V044025 + 1. assign V758601 = V857612 + 1. assign V637547 = V784187 + 1. assign V280739 = V485145. assign V654862 = V758601 - 1. assign V764373 = V140249 - 1. assign V502663 = V430625. assign V489377 = 10. assign V305138 = V338928 + 1. assign V131793 = V764373. assign V992419 = V323925 + 1. assign V474570 = V485145 - 1. assign V225957 = V697361 + 1. assign V454506 = V805664 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V435533 = V757246 - 1. assign V108740 = V505669 - 1. assign V506790 = V667136. assign V686658 = V127577 + 1. assign V001404 = V784187. assign V805664 = V286386. assign V891746 = V425507 - 1. assign V258293 = V046434 + 1. assign V667136 = V431485. assign V615033 = V578201. assign V044025 = V444411 + 1. assign V868733 = V805664 + 1. assign V050224 = V644716. assign V472084 = V902705 - 1. assign V373462 = V889670. assign V289661 = V502663 - 1. assign V381516 = V750394. assign V033846 = V848951. assign V150950 = V118670. assign V746844 = V774364 - 1. assign V118670 = V756602 - 1. assign V791105 = V229666 - 1. assign V954385 = V848951. assign V425507 = V037443 - 1. assign V312607 = V684476 + 1. assign V902705 = V485145. assign V684476 = V044025 - 1. assign V847401 = V485145 - 1. assign V194631 = V684975 + 1. assign V684975 = V579442. assign V824001 = V797737 - 1. assign V578201 = V140249. assign V793208 = V879071. assign V055656 = V033846. assign V501817 = V717562 + 1. assign V430625 = V478916. assign V965863 = V435533 - 1. assign V605900 = V532834 - 1. assign V704666 = V076981 - 1. assign V578116 = V805664. assign V634605 = V298505 + 1. assign V924877 = V037443 + 1. assign V431485 = V435533. assign V210447 = V037443 + 1. assign V858352 = V478916 - 1. assign V581899 = V321947 - 1. assign V280035 = V280739. assign V879071 = V478916. assign V118504 = V203075 + 1. assign V681962 = V938596 - 1. assign V374138 = V327466 - 1. assign V200167 = V784187. assign V619077 = V524383 + 1. assign V750394 = V501817 - 1. assign V594325 = V902705 + 1. assign V900642 = V430625. assign V298505 = V076981 - 1. assign V365843 = V340134. assign V524383 = V879071 - 1. assign V717562 = V286386 + 1. assign V187400 = V673245 - 1. assign V058003 = V637770 + 1. assign V942517 = V200167 + 1. assign V821580 = V594325 - 1. assign V550881 = V444411. assign V534812 = V234710. assign V515990 = V460757 + 1. assign V155287 = V444411 + 1. assign V802266 = V076981 + 1. assign V478916 = V076981. assign V234710 = V717562 - 1. assign V637770 = V717562 + 1. assign V953492 = V373462 + 1. assign V220644 = V472084. assign V889670 = V858352. assign V635280 = V431485. assign V417706 = V489377. assign V815433 = V848951 + 1. assign V796201 = V938596. assign V644716 = V594325 - 1. assign V088880 = V090800. assign V780325 = V150950 - 1. assign V803893 = V664114. assign V139899 = V821580 - 1. assign V338928 = V664114. assign V390105 = V797737 + 1. assign V037443 = V501817 + 1. assign V475426 = V758601 - 1. assign V076564 = V686658 + 1. assign V333924 = V764373 + 1. assign V172261 = V058003 - 1. assign V046110 = V390105. assign V848951 = V681962 + 1. assign V578744 = V681962 - 1. assign V229666 = V037443 - 1. assign V666073 = V478916 + 1. assign V638055 = V001404. assign V032684 = V717562. assign V576510 = V076564. assign V460757 = V664114 + 1. assign V857612 = V750394 + 1. assign V327466 = V900642 + 1. assign V322879 = V321947 + 1. assign V203075 = V322879 + 1. assign V586486 = V717562. assign V600354 = V140249 - 1. assign V487413 = V797737 + 1. assign V034432 = V756602 - 1. assign V485145 = V286386 - 1. assign V774364 = V879071 + 1. assign V319665 = V478916 + 1. assign V321947 = V758601 + 1. assign V331707 = V879071 + 1. assign V973180 = V757246 - 1. assign V597276 = V108740 - 1. assign V697361 = V796201 - 1. assign V090800 = V941705 + 1. assign V409523 = V037443 - 1. assign V566099 = V013964. assign V641385 = V654862 + 1. assign V033505 = V381516 + 1. assign V210749 = V821580. assign V076981 = V286386 + 1. assign V127577 = V321947 + 1. assign V297840 = V033846 + 1. assign V505669 = V805664. assign V014356 = V460757. assign V323925 = V684476 + 1. assign V286386 = V938596 + 1. assign V340134 = V857612 + 1. assign V664114 = V090800. assign V693885 = V815433 + 1. assign V862236 = V172261 - 1. assign V673245 = V634605 - 1. assign V317295 = V127577. assign V064177 = V390105. assign V632355 = V793208. assign V941705 = V286386 + 1. assign V757246 = V444411 - 1. assign V743183 = V127577. assign V784187 = V485145. assign V754444 = V055656 - 1. assign V579442 = V058003 - 1. assign V736487 = V667136. assign V444411 = V600354. assign V750362 = V472084 - 1. assign V532834 = V033505. assign V852971 = V058003 - 1. assign V116871 = V784187. assign V797737 = V229666 + 1. assign V140249 = V501817 - 1. assign V338969 = V638055. assign V434493 = V127577. assign V046434 = V460757. assign V986513 = V460757. assign V381310 = V868733 + 1. assign V756602 = V229666. assign V013964 = V717562. assign V853825 = V044025 + 1. assign V758601 = V857612 + 1. assign V637547 = V784187 + 1. assign V280739 = V485145. assign V654862 = V758601 - 1. assign V764373 = V140249 - 1. assign V502663 = V430625. assign V489377 = 10. assign V305138 = V338928 + 1. assign V131793 = V764373. assign V992419 = V323925 + 1. assign V474570 = V485145 - 1. assign V225957 = V697361 + 1. assign V454506 = V805664 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV489377 = 10;\n\nFrom these direct assignment(s), we have: \nV417706 = V489377 = 10;\nNo other variables can be derived from V417706;\nNo other variables can be derived from V489377;\n\nNow we have done all the calculations. Derived variables are:\nV489377 = 10;\nV417706 = 10;\n\nNow we have finished this problem. ANSWER:\nV489377, V417706\n", "role": "assistant" } ]

[ "V515663" ]

[ { "content": "<context>\nassign V326950 = V512086 + 1. assign V782058 = V537947 + 1. assign V083118 = V799070. assign V325039 = V464263 + 1. assign V816166 = V018958 + 1. assign V803185 = V642731. assign V819641 = V556355 + 1. assign V283324 = V941634 + 1. assign V006456 = V624375 + 1. assign V712274 = V518947 - 1. assign V299109 = V013124 + 1. assign V019605 = V782058 + 1. assign V896395 = V017246. assign V240231 = V787246 - 1. assign V563488 = V791996 - 1. assign V468899 = V660490 + 1. assign V262551 = V883142 + 1. assign V013124 = V474767 + 1. assign V556355 = V800349 - 1. assign V025682 = V815258 - 1. assign V998534 = V556355 + 1. assign V832887 = V819641. assign V125406 = V083118 - 1. assign V912516 = V882863. assign V256325 = V054851 + 1. assign V651838 = V876093 + 1. assign V973784 = V887796. assign V191729 = V380554 + 1. assign V051069 = V554534 - 1. assign V290037 = V849604 - 1. assign V837172 = V045942 - 1. assign V105596 = V832766. assign V279496 = V315333 + 1. assign V198326 = V834131. assign V059890 = V883142 - 1. assign V331150 = V805492 + 1. assign V862505 = V518947 - 1. assign V017246 = V751876 - 1. assign V430667 = V883142 + 1. assign V471775 = V990327. assign V399249 = V006456 - 1. assign V782219 = V474767 - 1. assign V109628 = V803185. assign V711193 = V800349 - 1. assign V624375 = V176489 + 1. assign V554534 = V758767. assign V667808 = V751876 + 1. assign V630701 = V832887. assign V035922 = V173834. assign V492477 = V665093 - 1. assign V990327 = V176489. assign V887796 = V800349. assign V919727 = V410882 - 1. assign V609201 = V711193. assign V660490 = V290037 - 1. assign V031933 = V256325. assign V665944 = V054851 - 1. assign V893893 = V471775 + 1. assign V202958 = V787246 - 1. assign V453981 = V311598 + 1. assign V464263 = V791996 - 1. assign V934467 = V512086 - 1. assign V408250 = V326950 + 1. assign V218680 = V622113. assign V723076 = V023666 + 1. assign V935134 = V456014 - 1. assign V311598 = V876093. assign V217926 = V630701 - 1. assign V748643 = V380554 + 1. assign V524691 = V471775. assign V685893 = V103677. assign V199242 = V324933. assign V120563 = V805492 - 1. assign V607044 = V758767 + 1. assign V456014 = V410882 + 1. assign V727706 = V048041. assign V173172 = V173834. assign V537947 = V887796 + 1. assign V849604 = V883142 - 1. assign V657622 = V800248. assign V799070 = V791996 - 1. assign V009231 = V624375 - 1. assign V865414 = V512086. assign V513931 = V997973. assign V173834 = V023666 + 1. assign V785379 = V324933. assign V481743 = V256325 + 1. assign V380554 = V471775 - 1. assign V759787 = V311598 - 1. assign V800248 = V023666 + 1. assign V512086 = V883142. assign V665093 = V819641 - 1. assign V138139 = V873878. assign V883142 = V471775 - 1. assign V815258 = V474767 + 1. assign V873878 = V990327 + 1. assign V622113 = V896395 - 1. assign V315333 = V800349 - 1. assign V105212 = V537947. assign V348239 = V667808. assign V534357 = V006456 - 1. assign V758767 = V059890 + 1. assign V764157 = V941634 - 1. assign V881005 = V456014. assign V071598 = V723076 + 1. assign V623274 = V785379. assign V834131 = V624375 + 1. assign V817050 = V456014. assign V515663 = V144575 - 1. assign V987596 = V873878 - 1. assign V745008 = V800349. assign V447003 = V896395 + 1. assign V054851 = V624375. assign V250327 = V315333. assign V232603 = V059890. assign V642731 = V887796 - 1. assign V876093 = V800349. assign V532471 = V018958 + 1. assign V018958 = V911743 - 1. assign V637938 = V408250 - 1. assign V176489 = V550354 - 1. assign V928601 = V815258. assign V474565 = V745008 - 1. assign V036565 = V537947 + 1. assign V516825 = V832887 - 1. assign V791996 = V751876 - 1. assign V103677 = V408250. assign V578359 = V262551 + 1. assign V428817 = V456655 - 1. assign V941634 = V642731 - 1. assign V048041 = V624375 + 1. assign V055074 = V217926 - 1. assign V324933 = V751876 - 1. assign V550354 = V023666 + 1. assign V252356 = V876093. assign V457042 = V025682. assign V339141 = V198326 + 1. assign V997973 = V556355 + 1. assign V751876 = V887796. assign V956910 = V468899 - 1. assign V474767 = V832766. assign V042445 = V816166. assign V557547 = V408250 + 1. assign V138403 = V556355 - 1. assign V551352 = V258840. assign V924774 = V315333 - 1. assign V258840 = V759787 + 1. assign V968258 = V512086. assign V023666 = V887796 - 1. assign V805492 = V642731. assign V099351 = V563488. assign V047562 = V059890 + 1. assign V403969 = V453981 + 1. assign V911743 = V751876. assign V832766 = V089773 - 1. assign V045942 = V339141. assign V144575 = 0. assign V936887 = V876093 - 1. assign V657252 = V873878 - 1. assign V787246 = V751876 - 1. assign V913360 = V290037 + 1. assign V089773 = V023666 + 1. assign V559530 = V973784 + 1. assign V728803 = V912516 + 1. assign V399592 = V913360 + 1. assign V456655 = V815258 + 1. assign V495301 = V176489 + 1. assign V882863 = V023666 + 1. assign V518947 = V990327 + 1. assign V507253 = V311598 + 1. assign V218337 = V125406. assign V410882 = V667808 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V326950 = V512086 + 1. assign V782058 = V537947 + 1. assign V083118 = V799070. assign V325039 = V464263 + 1. assign V816166 = V018958 + 1. assign V803185 = V642731. assign V819641 = V556355 + 1. assign V283324 = V941634 + 1. assign V006456 = V624375 + 1. assign V712274 = V518947 - 1. assign V299109 = V013124 + 1. assign V019605 = V782058 + 1. assign V896395 = V017246. assign V240231 = V787246 - 1. assign V563488 = V791996 - 1. assign V468899 = V660490 + 1. assign V262551 = V883142 + 1. assign V013124 = V474767 + 1. assign V556355 = V800349 - 1. assign V025682 = V815258 - 1. assign V998534 = V556355 + 1. assign V832887 = V819641. assign V125406 = V083118 - 1. assign V912516 = V882863. assign V256325 = V054851 + 1. assign V651838 = V876093 + 1. assign V973784 = V887796. assign V191729 = V380554 + 1. assign V051069 = V554534 - 1. assign V290037 = V849604 - 1. assign V837172 = V045942 - 1. assign V105596 = V832766. assign V279496 = V315333 + 1. assign V198326 = V834131. assign V059890 = V883142 - 1. assign V331150 = V805492 + 1. assign V862505 = V518947 - 1. assign V017246 = V751876 - 1. assign V430667 = V883142 + 1. assign V471775 = V990327. assign V399249 = V006456 - 1. assign V782219 = V474767 - 1. assign V109628 = V803185. assign V711193 = V800349 - 1. assign V624375 = V176489 + 1. assign V554534 = V758767. assign V667808 = V751876 + 1. assign V630701 = V832887. assign V035922 = V173834. assign V492477 = V665093 - 1. assign V990327 = V176489. assign V887796 = V800349. assign V919727 = V410882 - 1. assign V609201 = V711193. assign V660490 = V290037 - 1. assign V031933 = V256325. assign V665944 = V054851 - 1. assign V893893 = V471775 + 1. assign V202958 = V787246 - 1. assign V453981 = V311598 + 1. assign V464263 = V791996 - 1. assign V934467 = V512086 - 1. assign V408250 = V326950 + 1. assign V218680 = V622113. assign V723076 = V023666 + 1. assign V935134 = V456014 - 1. assign V311598 = V876093. assign V217926 = V630701 - 1. assign V748643 = V380554 + 1. assign V524691 = V471775. assign V685893 = V103677. assign V199242 = V324933. assign V120563 = V805492 - 1. assign V607044 = V758767 + 1. assign V456014 = V410882 + 1. assign V727706 = V048041. assign V173172 = V173834. assign V537947 = V887796 + 1. assign V849604 = V883142 - 1. assign V657622 = V800248. assign V799070 = V791996 - 1. assign V009231 = V624375 - 1. assign V865414 = V512086. assign V513931 = V997973. assign V173834 = V023666 + 1. assign V785379 = V324933. assign V481743 = V256325 + 1. assign V380554 = V471775 - 1. assign V759787 = V311598 - 1. assign V800248 = V023666 + 1. assign V512086 = V883142. assign V665093 = V819641 - 1. assign V138139 = V873878. assign V883142 = V471775 - 1. assign V815258 = V474767 + 1. assign V873878 = V990327 + 1. assign V622113 = V896395 - 1. assign V315333 = V800349 - 1. assign V105212 = V537947. assign V348239 = V667808. assign V534357 = V006456 - 1. assign V758767 = V059890 + 1. assign V764157 = V941634 - 1. assign V881005 = V456014. assign V071598 = V723076 + 1. assign V623274 = V785379. assign V834131 = V624375 + 1. assign V817050 = V456014. assign V515663 = V144575 - 1. assign V987596 = V873878 - 1. assign V745008 = V800349. assign V447003 = V896395 + 1. assign V054851 = V624375. assign V250327 = V315333. assign V232603 = V059890. assign V642731 = V887796 - 1. assign V876093 = V800349. assign V532471 = V018958 + 1. assign V018958 = V911743 - 1. assign V637938 = V408250 - 1. assign V176489 = V550354 - 1. assign V928601 = V815258. assign V474565 = V745008 - 1. assign V036565 = V537947 + 1. assign V516825 = V832887 - 1. assign V791996 = V751876 - 1. assign V103677 = V408250. assign V578359 = V262551 + 1. assign V428817 = V456655 - 1. assign V941634 = V642731 - 1. assign V048041 = V624375 + 1. assign V055074 = V217926 - 1. assign V324933 = V751876 - 1. assign V550354 = V023666 + 1. assign V252356 = V876093. assign V457042 = V025682. assign V339141 = V198326 + 1. assign V997973 = V556355 + 1. assign V751876 = V887796. assign V956910 = V468899 - 1. assign V474767 = V832766. assign V042445 = V816166. assign V557547 = V408250 + 1. assign V138403 = V556355 - 1. assign V551352 = V258840. assign V924774 = V315333 - 1. assign V258840 = V759787 + 1. assign V968258 = V512086. assign V023666 = V887796 - 1. assign V805492 = V642731. assign V099351 = V563488. assign V047562 = V059890 + 1. assign V403969 = V453981 + 1. assign V911743 = V751876. assign V832766 = V089773 - 1. assign V045942 = V339141. assign V144575 = 0. assign V936887 = V876093 - 1. assign V657252 = V873878 - 1. assign V787246 = V751876 - 1. assign V913360 = V290037 + 1. assign V089773 = V023666 + 1. assign V559530 = V973784 + 1. assign V728803 = V912516 + 1. assign V399592 = V913360 + 1. assign V456655 = V815258 + 1. assign V495301 = V176489 + 1. assign V882863 = V023666 + 1. assign V518947 = V990327 + 1. assign V507253 = V311598 + 1. assign V218337 = V125406. assign V410882 = V667808 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV144575 = 0;\n\nFrom these direct assignment(s), we have: \nV515663 = V144575 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V515663;\nNo other variables can be derived from V144575;\n\nNow we have done all the calculations. Derived variables are:\nV144575 = 0;\nV515663 = -1;\n\nNow we have finished this problem. ANSWER:\nV515663\n", "role": "assistant" } ]

[ "V076600" ]

[ { "content": "<context>\nassign V913699 = V349429 + 1. assign V949903 = V099157 + 1. assign V554580 = V545746. assign V960558 = V643526 + 1. assign V122902 = V361786 + 1. assign V928395 = V643526 - 1. assign V357078 = V427603 + 1. assign V771647 = V924751. assign V933897 = V468477 + 1. assign V712674 = V309862. assign V559292 = V179275. assign V849015 = V473999 - 1. assign V900240 = V692921 + 1. assign V815790 = V361786. assign V567846 = V852409 - 1. assign V427674 = V305982 - 1. assign V594264 = V891108 - 1. assign V078314 = V099157 - 1. assign V030246 = V473999. assign V415663 = V030246. assign V916898 = V321226. assign V344942 = V891108. assign V993213 = V634352. assign V542572 = V771647 - 1. assign V880892 = V852409 - 1. assign V760732 = V851120 - 1. assign V506341 = V913699 - 1. assign V348578 = V507869 - 1. assign V008464 = V952029 + 1. assign V182619 = V357078 - 1. assign V232540 = V242956 + 1. assign V021516 = V236434 - 1. assign V783980 = V891108. assign V830961 = V771647 - 1. assign V938784 = V643526 + 1. assign V236434 = V815124. assign V990859 = V884636 - 1. assign V167415 = V984164 - 1. assign V801244 = V894636 + 1. assign V843112 = V928395. assign V421541 = V206800 - 1. assign V148092 = V506341 + 1. assign V362648 = V130562 + 1. assign V871204 = V900240 - 1. assign V075119 = V783980 + 1. assign V750287 = V357078 - 1. assign V361786 = V900240. assign V447501 = V363185 - 1. assign V163972 = V357078 - 1. assign V073411 = V914285. assign V917511 = V891108. assign V709426 = V715014. assign V688456 = V421541. assign V309862 = V203674. assign V513302 = V236434. assign V130562 = V815124 - 1. assign V702218 = V949903 + 1. assign V939524 = V938784. assign V701112 = V008464 - 1. assign V150568 = V305982 - 1. assign V796235 = V851120 + 1. assign V299398 = V558481 - 1. assign V492708 = V990859 - 1. assign V305433 = V815124 - 1. assign V973513 = V130562 + 1. assign V258742 = V281909. assign V724497 = V796235 - 1. assign V242956 = V516515. assign V910700 = V060878 + 1. assign V027772 = V076600 + 1. assign V852409 = V914285 + 1. assign V952029 = V344942. assign V403737 = V984164. assign V099157 = V891108. assign V947218 = V073243 + 1. assign V577887 = V801244 + 1. assign V289507 = V492708 - 1. assign V884961 = V357078. assign V578876 = V088929 + 1. assign V547599 = V891108. assign V917025 = V427674. assign V563180 = V884636 - 1. assign V634352 = V750287. assign V657284 = V008464 + 1. assign V469604 = V596735 - 1. assign V203835 = V479640 - 1. assign V381941 = V900240. assign V528209 = V160962. assign V062145 = V305433 + 1. assign V349429 = V346591. assign V371382 = V643526 - 1. assign V756545 = V748350 - 1. assign V321226 = V891108. assign V355661 = V357078 + 1. assign V776680 = V916898 + 1. assign V303318 = V924751 - 1. assign V202217 = V469604. assign V038713 = V008464. assign V427603 = V749881 + 1. assign V354811 = V724497 + 1. assign V089442 = V960558. assign V796176 = V894636. assign V664223 = V075119. assign V851120 = V516515 + 1. assign V579285 = V291868 - 1. assign V862355 = V796235. assign V481172 = V203674 + 1. assign V479640 = V579285. assign V679149 = V984164 - 1. assign V088929 = V516515 - 1. assign V929082 = V910700 - 1. assign V604704 = V203835 + 1. assign V084958 = V563180 + 1. assign V094580 = V801244 - 1. assign V504636 = V075119 + 1. assign V206800 = V643526 + 1. assign V884636 = V596735 + 1. assign V014023 = V900240. assign V120313 = V130562 + 1. assign V545746 = V783980 - 1. assign V111488 = V756545 - 1. assign V643526 = V692921 - 1. assign V815124 = V594264 + 1. assign V894636 = V852409 + 1. assign V826088 = V724497 - 1. assign V060878 = V596735 - 1. assign V468477 = V008464 + 1. assign V516515 = V914285 + 1. assign V263399 = V913699 + 1. assign V655577 = V096469 + 1. assign V654956 = V910700 + 1. assign V235070 = V679149 + 1. assign V309279 = V960558. assign V347768 = V929082. assign V473999 = V900240 + 1. assign V442686 = V236434 + 1. assign V359689 = V346591. assign V692921 = V516515. assign V291868 = V594264. assign V715014 = V960558. assign V262377 = V596735 + 1. assign V203674 = V596735 - 1. assign V281909 = V163972. assign V319806 = V291868 + 1. assign V685618 = V150568 - 1. assign V325333 = V924751 + 1. assign V924751 = V349429 - 1. assign V748350 = V796235 + 1. assign V096469 = V504636. assign V596735 = V291868 + 1. assign V363185 = V643526 - 1. assign V160962 = V924751. assign V179275 = V299398 + 1. assign V507869 = V014023. assign V635029 = V917025 - 1. assign V461769 = V263399. assign V390958 = V715014. assign V072935 = V910700. assign V558481 = V579285. assign V966005 = V815790. assign V984164 = V309279. assign V749881 = V952029 - 1. assign V130829 = V309862. assign V487731 = V900240. assign V357118 = V547599 - 1. assign V305982 = V232540 - 1. assign V076600 = 3. assign V346591 = V914285 - 1. assign V073243 = V712674. assign V063736 = V236434. assign V247911 = V309862 + 1. assign V891108 = V346591.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V913699 = V349429 + 1. assign V949903 = V099157 + 1. assign V554580 = V545746. assign V960558 = V643526 + 1. assign V122902 = V361786 + 1. assign V928395 = V643526 - 1. assign V357078 = V427603 + 1. assign V771647 = V924751. assign V933897 = V468477 + 1. assign V712674 = V309862. assign V559292 = V179275. assign V849015 = V473999 - 1. assign V900240 = V692921 + 1. assign V815790 = V361786. assign V567846 = V852409 - 1. assign V427674 = V305982 - 1. assign V594264 = V891108 - 1. assign V078314 = V099157 - 1. assign V030246 = V473999. assign V415663 = V030246. assign V916898 = V321226. assign V344942 = V891108. assign V993213 = V634352. assign V542572 = V771647 - 1. assign V880892 = V852409 - 1. assign V760732 = V851120 - 1. assign V506341 = V913699 - 1. assign V348578 = V507869 - 1. assign V008464 = V952029 + 1. assign V182619 = V357078 - 1. assign V232540 = V242956 + 1. assign V021516 = V236434 - 1. assign V783980 = V891108. assign V830961 = V771647 - 1. assign V938784 = V643526 + 1. assign V236434 = V815124. assign V990859 = V884636 - 1. assign V167415 = V984164 - 1. assign V801244 = V894636 + 1. assign V843112 = V928395. assign V421541 = V206800 - 1. assign V148092 = V506341 + 1. assign V362648 = V130562 + 1. assign V871204 = V900240 - 1. assign V075119 = V783980 + 1. assign V750287 = V357078 - 1. assign V361786 = V900240. assign V447501 = V363185 - 1. assign V163972 = V357078 - 1. assign V073411 = V914285. assign V917511 = V891108. assign V709426 = V715014. assign V688456 = V421541. assign V309862 = V203674. assign V513302 = V236434. assign V130562 = V815124 - 1. assign V702218 = V949903 + 1. assign V939524 = V938784. assign V701112 = V008464 - 1. assign V150568 = V305982 - 1. assign V796235 = V851120 + 1. assign V299398 = V558481 - 1. assign V492708 = V990859 - 1. assign V305433 = V815124 - 1. assign V973513 = V130562 + 1. assign V258742 = V281909. assign V724497 = V796235 - 1. assign V242956 = V516515. assign V910700 = V060878 + 1. assign V027772 = V076600 + 1. assign V852409 = V914285 + 1. assign V952029 = V344942. assign V403737 = V984164. assign V099157 = V891108. assign V947218 = V073243 + 1. assign V577887 = V801244 + 1. assign V289507 = V492708 - 1. assign V884961 = V357078. assign V578876 = V088929 + 1. assign V547599 = V891108. assign V917025 = V427674. assign V563180 = V884636 - 1. assign V634352 = V750287. assign V657284 = V008464 + 1. assign V469604 = V596735 - 1. assign V203835 = V479640 - 1. assign V381941 = V900240. assign V528209 = V160962. assign V062145 = V305433 + 1. assign V349429 = V346591. assign V371382 = V643526 - 1. assign V756545 = V748350 - 1. assign V321226 = V891108. assign V355661 = V357078 + 1. assign V776680 = V916898 + 1. assign V303318 = V924751 - 1. assign V202217 = V469604. assign V038713 = V008464. assign V427603 = V749881 + 1. assign V354811 = V724497 + 1. assign V089442 = V960558. assign V796176 = V894636. assign V664223 = V075119. assign V851120 = V516515 + 1. assign V579285 = V291868 - 1. assign V862355 = V796235. assign V481172 = V203674 + 1. assign V479640 = V579285. assign V679149 = V984164 - 1. assign V088929 = V516515 - 1. assign V929082 = V910700 - 1. assign V604704 = V203835 + 1. assign V084958 = V563180 + 1. assign V094580 = V801244 - 1. assign V504636 = V075119 + 1. assign V206800 = V643526 + 1. assign V884636 = V596735 + 1. assign V014023 = V900240. assign V120313 = V130562 + 1. assign V545746 = V783980 - 1. assign V111488 = V756545 - 1. assign V643526 = V692921 - 1. assign V815124 = V594264 + 1. assign V894636 = V852409 + 1. assign V826088 = V724497 - 1. assign V060878 = V596735 - 1. assign V468477 = V008464 + 1. assign V516515 = V914285 + 1. assign V263399 = V913699 + 1. assign V655577 = V096469 + 1. assign V654956 = V910700 + 1. assign V235070 = V679149 + 1. assign V309279 = V960558. assign V347768 = V929082. assign V473999 = V900240 + 1. assign V442686 = V236434 + 1. assign V359689 = V346591. assign V692921 = V516515. assign V291868 = V594264. assign V715014 = V960558. assign V262377 = V596735 + 1. assign V203674 = V596735 - 1. assign V281909 = V163972. assign V319806 = V291868 + 1. assign V685618 = V150568 - 1. assign V325333 = V924751 + 1. assign V924751 = V349429 - 1. assign V748350 = V796235 + 1. assign V096469 = V504636. assign V596735 = V291868 + 1. assign V363185 = V643526 - 1. assign V160962 = V924751. assign V179275 = V299398 + 1. assign V507869 = V014023. assign V635029 = V917025 - 1. assign V461769 = V263399. assign V390958 = V715014. assign V072935 = V910700. assign V558481 = V579285. assign V966005 = V815790. assign V984164 = V309279. assign V749881 = V952029 - 1. assign V130829 = V309862. assign V487731 = V900240. assign V357118 = V547599 - 1. assign V305982 = V232540 - 1. assign V076600 = 3. assign V346591 = V914285 - 1. assign V073243 = V712674. assign V063736 = V236434. assign V247911 = V309862 + 1. assign V891108 = V346591.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV076600 = 3;\n\nFrom these direct assignment(s), we have: \nV027772 = V076600 + 1 = 3 + 1 =4;\nNo other variables can be derived from V027772;\nNo other variables can be derived from V076600;\n\nNow we have done all the calculations. Derived variables are:\nV076600 = 3;\nV027772 = 4;\n\nNow we have finished this problem. ANSWER:\nV076600\n", "role": "assistant" } ]

[ "V423766", "V658347" ]

[ { "content": "<context>\nassign V343764 = V629366. assign V943747 = V900657. assign V446654 = V341222 + 1. assign V009552 = V307700. assign V423766 = 4. assign V958673 = V334395 + 1. assign V072816 = V992509. assign V322489 = V515481. assign V741268 = V932321. assign V643328 = V472101. assign V254857 = V315592 + 1. assign V338648 = V334395. assign V970608 = V889414 - 1. assign V334395 = V771193 + 1. assign V082970 = V120646. assign V530898 = V515481 + 1. assign V992509 = V721729 - 1. assign V053526 = V191846 + 1. assign V386970 = V322489 - 1. assign V800523 = V205747 - 1. assign V030132 = V377558. assign V131972 = V615445 - 1. assign V254655 = V205747 - 1. assign V775227 = V120646. assign V905489 = V087144 + 1. assign V342362 = V937135 - 1. assign V344047 = V477992 - 1. assign V872249 = V921685. assign V900657 = V087144 + 1. assign V563901 = V932321. assign V207989 = V889414 - 1. assign V283793 = V377558. assign V538108 = V268814. assign V870162 = V800523 + 1. assign V307700 = V721729 + 1. assign V288532 = V970608. assign V477992 = V813194. assign V468105 = V109603 + 1. assign V703376 = V207989. assign V997961 = V940847 + 1. assign V031328 = V943747 - 1. assign V974727 = V597558 - 1. assign V557468 = V325181 - 1. assign V615445 = V607189 + 1. assign V525438 = V697644. assign V412109 = V000462 + 1. assign V140001 = V377558 + 1. assign V538084 = V191846 - 1. assign V480582 = V958673. assign V168707 = V044759 - 1. assign V767327 = V974727 - 1. assign V629366 = V530898. assign V377558 = V771193. assign V239940 = V315592. assign V932321 = V731735. assign V651410 = V289087. assign V531409 = V970608 + 1. assign V195997 = V992509. assign V462420 = V325181 + 1. assign V131469 = V940847 + 1. assign V099049 = V952144. assign V219468 = V044759. assign V543584 = V952144 - 1. assign V699547 = V307181 - 1. assign V427040 = V067647 - 1. assign V075917 = V334395. assign V703224 = V219468. assign V822591 = V268814 + 1. assign V813194 = V472101 - 1. assign V068954 = V615445 + 1. assign V120646 = V334395 + 1. assign V151716 = V075917 + 1. assign V191846 = V831313 + 1. assign V515481 = V307181. assign V757794 = V997961 - 1. assign V607189 = V207989 - 1. assign V571232 = V307181 + 1. assign V268814 = V992509 - 1. assign V478797 = V131469 - 1. assign V831313 = V217450. assign V098002 = V721729. assign V051302 = V789137 - 1. assign V697644 = V099049 - 1. assign V809151 = V940847. assign V641239 = V937135 - 1. assign V047121 = V217450 + 1. assign V472101 = V889414 - 1. assign V721729 = V472101. assign V000462 = V419469. assign V513579 = V699547. assign V334487 = V160015 - 1. assign V464145 = V900761 + 1. assign V205244 = V932321. assign V117178 = V997961 + 1. assign V803342 = V915654. assign V890644 = V643328 - 1. assign V496692 = V334395 - 1. assign V665778 = V975351. assign V093486 = V419469 + 1. assign V407216 = V419469 + 1. assign V325181 = V521462 + 1. assign V033112 = V217450 + 1. assign V315592 = V640982 - 1. assign V117689 = V597558 + 1. assign V658347 = V423766. assign V241385 = V472101 + 1. assign V606735 = V731735 - 1. assign V085969 = V377558 + 1. assign V588027 = V813194. assign V561095 = V205747 + 1. assign V703468 = V341222 + 1. assign V329514 = V597558 - 1. assign V537676 = V098002. assign V107789 = V087144. assign V534593 = V703224. assign V970050 = V651410. assign V618775 = V900761. assign V562674 = V446654 + 1. assign V771193 = V889414. assign V419469 = V985265 - 1. assign V800620 = V477992 + 1. assign V731735 = V472101. assign V594439 = V679903 - 1. assign V160015 = V952144 + 1. assign V276880 = V831313. assign V205747 = V699547 - 1. assign V921685 = V099013 + 1. assign V937135 = V099013 - 1. assign V307181 = V771193 - 1. assign V530637 = V651410 + 1. assign V985265 = V952144. assign V309850 = V767327 + 1. assign V975351 = V076435. assign V629477 = V618775 + 1. assign V109603 = V288532 + 1. assign V389427 = V964436 - 1. assign V223339 = V563901. assign V067647 = V889414 + 1. assign V844348 = V822591. assign V703980 = V020366 - 1. assign V952144 = V771193. assign V940847 = V561095 - 1. assign V341222 = V571232 - 1. assign V289087 = V099049 - 1. assign V781610 = V472101 + 1. assign V714084 = V191846. assign V627399 = V822591 + 1. assign V217450 = V377558. assign V129762 = V254857 - 1. assign V521462 = V268814 - 1. assign V679903 = V131972 + 1. assign V863214 = V191846 + 1. assign V936826 = V446654 + 1. assign V707073 = V307181 - 1. assign V640982 = V472101 - 1. assign V020366 = V789137 + 1. assign V789137 = V771193 - 1. assign V044759 = V087144 + 1. assign V167794 = V890644. assign V087144 = V020366 + 1. assign V139950 = V531409 - 1. assign V099013 = V640982. assign V597558 = V831313. assign V915654 = V831313 + 1. assign V267670 = V082970 - 1. assign V964436 = V168707 + 1. assign V900761 = V307181. assign V299266 = V254655 - 1. assign V574302 = V521462. assign V074469 = V093486 - 1. assign V631594 = V044759 + 1. assign V076435 = V051302.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V343764 = V629366. assign V943747 = V900657. assign V446654 = V341222 + 1. assign V009552 = V307700. assign V423766 = 4. assign V958673 = V334395 + 1. assign V072816 = V992509. assign V322489 = V515481. assign V741268 = V932321. assign V643328 = V472101. assign V254857 = V315592 + 1. assign V338648 = V334395. assign V970608 = V889414 - 1. assign V334395 = V771193 + 1. assign V082970 = V120646. assign V530898 = V515481 + 1. assign V992509 = V721729 - 1. assign V053526 = V191846 + 1. assign V386970 = V322489 - 1. assign V800523 = V205747 - 1. assign V030132 = V377558. assign V131972 = V615445 - 1. assign V254655 = V205747 - 1. assign V775227 = V120646. assign V905489 = V087144 + 1. assign V342362 = V937135 - 1. assign V344047 = V477992 - 1. assign V872249 = V921685. assign V900657 = V087144 + 1. assign V563901 = V932321. assign V207989 = V889414 - 1. assign V283793 = V377558. assign V538108 = V268814. assign V870162 = V800523 + 1. assign V307700 = V721729 + 1. assign V288532 = V970608. assign V477992 = V813194. assign V468105 = V109603 + 1. assign V703376 = V207989. assign V997961 = V940847 + 1. assign V031328 = V943747 - 1. assign V974727 = V597558 - 1. assign V557468 = V325181 - 1. assign V615445 = V607189 + 1. assign V525438 = V697644. assign V412109 = V000462 + 1. assign V140001 = V377558 + 1. assign V538084 = V191846 - 1. assign V480582 = V958673. assign V168707 = V044759 - 1. assign V767327 = V974727 - 1. assign V629366 = V530898. assign V377558 = V771193. assign V239940 = V315592. assign V932321 = V731735. assign V651410 = V289087. assign V531409 = V970608 + 1. assign V195997 = V992509. assign V462420 = V325181 + 1. assign V131469 = V940847 + 1. assign V099049 = V952144. assign V219468 = V044759. assign V543584 = V952144 - 1. assign V699547 = V307181 - 1. assign V427040 = V067647 - 1. assign V075917 = V334395. assign V703224 = V219468. assign V822591 = V268814 + 1. assign V813194 = V472101 - 1. assign V068954 = V615445 + 1. assign V120646 = V334395 + 1. assign V151716 = V075917 + 1. assign V191846 = V831313 + 1. assign V515481 = V307181. assign V757794 = V997961 - 1. assign V607189 = V207989 - 1. assign V571232 = V307181 + 1. assign V268814 = V992509 - 1. assign V478797 = V131469 - 1. assign V831313 = V217450. assign V098002 = V721729. assign V051302 = V789137 - 1. assign V697644 = V099049 - 1. assign V809151 = V940847. assign V641239 = V937135 - 1. assign V047121 = V217450 + 1. assign V472101 = V889414 - 1. assign V721729 = V472101. assign V000462 = V419469. assign V513579 = V699547. assign V334487 = V160015 - 1. assign V464145 = V900761 + 1. assign V205244 = V932321. assign V117178 = V997961 + 1. assign V803342 = V915654. assign V890644 = V643328 - 1. assign V496692 = V334395 - 1. assign V665778 = V975351. assign V093486 = V419469 + 1. assign V407216 = V419469 + 1. assign V325181 = V521462 + 1. assign V033112 = V217450 + 1. assign V315592 = V640982 - 1. assign V117689 = V597558 + 1. assign V658347 = V423766. assign V241385 = V472101 + 1. assign V606735 = V731735 - 1. assign V085969 = V377558 + 1. assign V588027 = V813194. assign V561095 = V205747 + 1. assign V703468 = V341222 + 1. assign V329514 = V597558 - 1. assign V537676 = V098002. assign V107789 = V087144. assign V534593 = V703224. assign V970050 = V651410. assign V618775 = V900761. assign V562674 = V446654 + 1. assign V771193 = V889414. assign V419469 = V985265 - 1. assign V800620 = V477992 + 1. assign V731735 = V472101. assign V594439 = V679903 - 1. assign V160015 = V952144 + 1. assign V276880 = V831313. assign V205747 = V699547 - 1. assign V921685 = V099013 + 1. assign V937135 = V099013 - 1. assign V307181 = V771193 - 1. assign V530637 = V651410 + 1. assign V985265 = V952144. assign V309850 = V767327 + 1. assign V975351 = V076435. assign V629477 = V618775 + 1. assign V109603 = V288532 + 1. assign V389427 = V964436 - 1. assign V223339 = V563901. assign V067647 = V889414 + 1. assign V844348 = V822591. assign V703980 = V020366 - 1. assign V952144 = V771193. assign V940847 = V561095 - 1. assign V341222 = V571232 - 1. assign V289087 = V099049 - 1. assign V781610 = V472101 + 1. assign V714084 = V191846. assign V627399 = V822591 + 1. assign V217450 = V377558. assign V129762 = V254857 - 1. assign V521462 = V268814 - 1. assign V679903 = V131972 + 1. assign V863214 = V191846 + 1. assign V936826 = V446654 + 1. assign V707073 = V307181 - 1. assign V640982 = V472101 - 1. assign V020366 = V789137 + 1. assign V789137 = V771193 - 1. assign V044759 = V087144 + 1. assign V167794 = V890644. assign V087144 = V020366 + 1. assign V139950 = V531409 - 1. assign V099013 = V640982. assign V597558 = V831313. assign V915654 = V831313 + 1. assign V267670 = V082970 - 1. assign V964436 = V168707 + 1. assign V900761 = V307181. assign V299266 = V254655 - 1. assign V574302 = V521462. assign V074469 = V093486 - 1. assign V631594 = V044759 + 1. assign V076435 = V051302.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV423766 = 4;\n\nFrom these direct assignment(s), we have: \nV658347 = V423766 = 4;\nNo other variables can be derived from V658347;\nNo other variables can be derived from V423766;\n\nNow we have done all the calculations. Derived variables are:\nV423766 = 4;\nV658347 = 4;\n\nNow we have finished this problem. ANSWER:\nV423766, V658347\n", "role": "assistant" } ]

[ "V122367", "V214629" ]

[ { "content": "<context>\nassign V318813 = V085918 - 1. assign V298866 = V620063 + 1. assign V172417 = V438674 - 1. assign V627787 = V202327 + 1. assign V665759 = V666248 + 1. assign V757117 = V497365. assign V299474 = V779401. assign V122367 = 0. assign V714247 = V588310 - 1. assign V128179 = V050310. assign V438674 = V779401 + 1. assign V820206 = V202327 + 1. assign V156742 = V473492 + 1. assign V460332 = V338668 - 1. assign V255514 = V216331 - 1. assign V974669 = V508103 + 1. assign V435655 = V530232. assign V666248 = V112269 + 1. assign V495603 = V078262 + 1. assign V745747 = V298866. assign V823986 = V791363. assign V870395 = V786886 - 1. assign V277393 = V389581 - 1. assign V919712 = V062933. assign V786886 = V430535. assign V875844 = V313244 - 1. assign V535659 = V570636. assign V017831 = V476965 - 1. assign V223805 = V257295. assign V791363 = V020930 - 1. assign V620063 = V389581. assign V446123 = V132164 + 1. assign V230443 = V249510 + 1. assign V270340 = V299474 - 1. assign V122958 = V870395 - 1. assign V398229 = V916707. assign V249510 = V823986. assign V508103 = V875173 + 1. assign V874944 = V389581 - 1. assign V805178 = V085918 - 1. assign V519000 = V446123. assign V062933 = V791363. assign V541582 = V779401 + 1. assign V257295 = V779401. assign V762759 = V398229. assign V098221 = V017831. assign V021287 = V646839. assign V725051 = V960656. assign V871281 = V249510 + 1. assign V916707 = V389581 + 1. assign V945557 = V941526. assign V054043 = V650632 + 1. assign V083840 = V313244 + 1. assign V660652 = V122958 - 1. assign V166133 = V870395 - 1. assign V214629 = V122367. assign V913867 = V088666 - 1. assign V779401 = V313244 + 1. assign V096823 = V588310 + 1. assign V960656 = V924333 + 1. assign V109803 = V435655 - 1. assign V768656 = V261350. assign V964106 = V202327 - 1. assign V530902 = V313244. assign V785446 = V129872 + 1. assign V247506 = V202327 - 1. assign V806585 = V277393. assign V722318 = V129872 - 1. assign V044384 = V020930 + 1. assign V530232 = V666248 - 1. assign V693163 = V473492. assign V141026 = V476965 + 1. assign V129872 = V335907. assign V945221 = V299474 + 1. assign V012477 = V020930 - 1. assign V859039 = V874944 + 1. assign V474498 = V313244. assign V565186 = V230501 - 1. assign V994038 = V204351 - 1. assign V852202 = V020930. assign V677987 = V762536. assign V941526 = V313244 - 1. assign V557645 = V062933 + 1. assign V473492 = V277393 - 1. assign V750508 = V578549 - 1. assign V252857 = V299474 + 1. assign V796234 = V234152 + 1. assign V661037 = V588310 - 1. assign V156225 = V229009 - 1. assign V149002 = V248143. assign V459894 = V820206 + 1. assign V216331 = V389581 - 1. assign V088666 = V122958 + 1. assign V439638 = V620063 + 1. assign V529352 = V050310 - 1. assign V628578 = V112269 + 1. assign V248143 = V249510 + 1. assign V439751 = V874944 - 1. assign V570636 = V870395 - 1. assign V837540 = V252270 - 1. assign V936404 = V627787 + 1. assign V764346 = V552816. assign V578549 = V779401. assign V230501 = V874944. assign V738645 = V960656. assign V346318 = V868426. assign V924333 = V346318 + 1. assign V723232 = V156723 + 1. assign V224208 = V916707 - 1. assign V252270 = V634522. assign V132164 = V995758 + 1. assign V430535 = V788166 - 1. assign V234152 = V085918. assign V122300 = V277393 - 1. assign V329595 = V491713. assign V913832 = V788166. assign V204351 = V474498 - 1. assign V646839 = V223805 - 1. assign V156723 = V916707 - 1. assign V271230 = V677987 - 1. assign V112269 = V620063 + 1. assign V269970 = V620063 - 1. assign V894538 = V249510 + 1. assign V081757 = V627787. assign V588310 = V085918 + 1. assign V191723 = V738645. assign V210211 = V541582 - 1. assign V621003 = V389581 - 1. assign V491713 = V191723 - 1. assign V388165 = V313244 + 1. assign V497365 = V318813. assign V296644 = V936404 - 1. assign V476965 = V085918. assign V928968 = V062933 - 1. assign V244215 = V230501 + 1. assign V212566 = V430535 - 1. assign V889581 = V620063 - 1. assign V202327 = V270340. assign V998931 = V473492. assign V267370 = V299474 - 1. assign V995758 = V277393 - 1. assign V868426 = V628578. assign V078262 = V020930 + 1. assign V229009 = V634522 - 1. assign V085918 = V277393 + 1. assign V964983 = V913832 + 1. assign V020930 = V779401 + 1. assign V400795 = V874944 + 1. assign V788166 = V085918 - 1. assign V875173 = V313244. assign V313244 = V389581 + 1. assign V575948 = V750508. assign V984349 = V141026 - 1. assign V778061 = V435655 - 1. assign V675957 = V960656 + 1. assign V261350 = V257295 - 1. assign V650632 = V261350 + 1. assign V634522 = V620063 - 1. assign V172041 = V435655. assign V335907 = V270340 + 1. assign V539711 = V650632 + 1. assign V762536 = V318813 + 1. assign V000395 = V342726. assign V050310 = V473492. assign V342726 = V820206 - 1. assign V338668 = V223805 - 1. assign V330603 = V570636. assign V720655 = V666248 + 1. assign V105574 = V738645. assign V440248 = V318813 - 1. assign V552816 = V299474 - 1. assign V372079 = V473492.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V318813 = V085918 - 1. assign V298866 = V620063 + 1. assign V172417 = V438674 - 1. assign V627787 = V202327 + 1. assign V665759 = V666248 + 1. assign V757117 = V497365. assign V299474 = V779401. assign V122367 = 0. assign V714247 = V588310 - 1. assign V128179 = V050310. assign V438674 = V779401 + 1. assign V820206 = V202327 + 1. assign V156742 = V473492 + 1. assign V460332 = V338668 - 1. assign V255514 = V216331 - 1. assign V974669 = V508103 + 1. assign V435655 = V530232. assign V666248 = V112269 + 1. assign V495603 = V078262 + 1. assign V745747 = V298866. assign V823986 = V791363. assign V870395 = V786886 - 1. assign V277393 = V389581 - 1. assign V919712 = V062933. assign V786886 = V430535. assign V875844 = V313244 - 1. assign V535659 = V570636. assign V017831 = V476965 - 1. assign V223805 = V257295. assign V791363 = V020930 - 1. assign V620063 = V389581. assign V446123 = V132164 + 1. assign V230443 = V249510 + 1. assign V270340 = V299474 - 1. assign V122958 = V870395 - 1. assign V398229 = V916707. assign V249510 = V823986. assign V508103 = V875173 + 1. assign V874944 = V389581 - 1. assign V805178 = V085918 - 1. assign V519000 = V446123. assign V062933 = V791363. assign V541582 = V779401 + 1. assign V257295 = V779401. assign V762759 = V398229. assign V098221 = V017831. assign V021287 = V646839. assign V725051 = V960656. assign V871281 = V249510 + 1. assign V916707 = V389581 + 1. assign V945557 = V941526. assign V054043 = V650632 + 1. assign V083840 = V313244 + 1. assign V660652 = V122958 - 1. assign V166133 = V870395 - 1. assign V214629 = V122367. assign V913867 = V088666 - 1. assign V779401 = V313244 + 1. assign V096823 = V588310 + 1. assign V960656 = V924333 + 1. assign V109803 = V435655 - 1. assign V768656 = V261350. assign V964106 = V202327 - 1. assign V530902 = V313244. assign V785446 = V129872 + 1. assign V247506 = V202327 - 1. assign V806585 = V277393. assign V722318 = V129872 - 1. assign V044384 = V020930 + 1. assign V530232 = V666248 - 1. assign V693163 = V473492. assign V141026 = V476965 + 1. assign V129872 = V335907. assign V945221 = V299474 + 1. assign V012477 = V020930 - 1. assign V859039 = V874944 + 1. assign V474498 = V313244. assign V565186 = V230501 - 1. assign V994038 = V204351 - 1. assign V852202 = V020930. assign V677987 = V762536. assign V941526 = V313244 - 1. assign V557645 = V062933 + 1. assign V473492 = V277393 - 1. assign V750508 = V578549 - 1. assign V252857 = V299474 + 1. assign V796234 = V234152 + 1. assign V661037 = V588310 - 1. assign V156225 = V229009 - 1. assign V149002 = V248143. assign V459894 = V820206 + 1. assign V216331 = V389581 - 1. assign V088666 = V122958 + 1. assign V439638 = V620063 + 1. assign V529352 = V050310 - 1. assign V628578 = V112269 + 1. assign V248143 = V249510 + 1. assign V439751 = V874944 - 1. assign V570636 = V870395 - 1. assign V837540 = V252270 - 1. assign V936404 = V627787 + 1. assign V764346 = V552816. assign V578549 = V779401. assign V230501 = V874944. assign V738645 = V960656. assign V346318 = V868426. assign V924333 = V346318 + 1. assign V723232 = V156723 + 1. assign V224208 = V916707 - 1. assign V252270 = V634522. assign V132164 = V995758 + 1. assign V430535 = V788166 - 1. assign V234152 = V085918. assign V122300 = V277393 - 1. assign V329595 = V491713. assign V913832 = V788166. assign V204351 = V474498 - 1. assign V646839 = V223805 - 1. assign V156723 = V916707 - 1. assign V271230 = V677987 - 1. assign V112269 = V620063 + 1. assign V269970 = V620063 - 1. assign V894538 = V249510 + 1. assign V081757 = V627787. assign V588310 = V085918 + 1. assign V191723 = V738645. assign V210211 = V541582 - 1. assign V621003 = V389581 - 1. assign V491713 = V191723 - 1. assign V388165 = V313244 + 1. assign V497365 = V318813. assign V296644 = V936404 - 1. assign V476965 = V085918. assign V928968 = V062933 - 1. assign V244215 = V230501 + 1. assign V212566 = V430535 - 1. assign V889581 = V620063 - 1. assign V202327 = V270340. assign V998931 = V473492. assign V267370 = V299474 - 1. assign V995758 = V277393 - 1. assign V868426 = V628578. assign V078262 = V020930 + 1. assign V229009 = V634522 - 1. assign V085918 = V277393 + 1. assign V964983 = V913832 + 1. assign V020930 = V779401 + 1. assign V400795 = V874944 + 1. assign V788166 = V085918 - 1. assign V875173 = V313244. assign V313244 = V389581 + 1. assign V575948 = V750508. assign V984349 = V141026 - 1. assign V778061 = V435655 - 1. assign V675957 = V960656 + 1. assign V261350 = V257295 - 1. assign V650632 = V261350 + 1. assign V634522 = V620063 - 1. assign V172041 = V435655. assign V335907 = V270340 + 1. assign V539711 = V650632 + 1. assign V762536 = V318813 + 1. assign V000395 = V342726. assign V050310 = V473492. assign V342726 = V820206 - 1. assign V338668 = V223805 - 1. assign V330603 = V570636. assign V720655 = V666248 + 1. assign V105574 = V738645. assign V440248 = V318813 - 1. assign V552816 = V299474 - 1. assign V372079 = V473492.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV122367 = 0;\n\nFrom these direct assignment(s), we have: \nV214629 = V122367 = 0;\nNo other variables can be derived from V214629;\nNo other variables can be derived from V122367;\n\nNow we have done all the calculations. Derived variables are:\nV122367 = 0;\nV214629 = 0;\n\nNow we have finished this problem. ANSWER:\nV122367, V214629\n", "role": "assistant" } ]

[ "V569081", "V691743" ]

[ { "content": "<context>\nassign V713913 = V697576 - 1. assign V589344 = V030061 - 1. assign V011609 = V544185 + 1. assign V719428 = V249826. assign V701830 = V073100 + 1. assign V352325 = V306569 - 1. assign V393300 = V260751. assign V492956 = V777641. assign V235402 = V906391 + 1. assign V799513 = V465538 - 1. assign V453910 = V582109 - 1. assign V462437 = V449187 + 1. assign V532494 = V030061 - 1. assign V288606 = V500068 - 1. assign V736579 = V369060 + 1. assign V063268 = V259399 + 1. assign V899406 = V150908 + 1. assign V775664 = V719428 + 1. assign V554361 = V695238 + 1. assign V041383 = V007981 + 1. assign V281347 = V465538. assign V794659 = V757592. assign V328605 = V142431 - 1. assign V510859 = V797368 - 1. assign V730301 = V173019. assign V096711 = V142431 - 1. assign V272020 = V184960 + 1. assign V975011 = V350812 + 1. assign V464473 = V015915. assign V541336 = V835068 + 1. assign V277148 = V249826 - 1. assign V783391 = V554372 + 1. assign V944175 = V063268 + 1. assign V184960 = V398503 + 1. assign V103817 = V205178. assign V741988 = V561838 + 1. assign V399221 = V041383 - 1. assign V050519 = V280361. assign V643971 = V797368 + 1. assign V561838 = V249826. assign V616771 = V369060 + 1. assign V950283 = V697576 - 1. assign V674590 = V084411 - 1. assign V350812 = V390608 + 1. assign V029670 = V237886. assign V625480 = V775664. assign V147404 = V741988 + 1. assign V390299 = V449187. assign V409543 = V970372 + 1. assign V945668 = V775664. assign V390608 = V777641 + 1. assign V070453 = V103817 - 1. assign V170245 = V260751. assign V306569 = V465538. assign V620934 = V500068 + 1. assign V960850 = V616771 + 1. assign V804352 = V007981 - 1. assign V544185 = V950283. assign V369060 = V030061 - 1. assign V320128 = V779264 - 1. assign V749120 = V050079 - 1. assign V933562 = V113563 - 1. assign V427459 = V784893 - 1. assign V030061 = V237886 - 1. assign V098948 = V283318 - 1. assign V260751 = V142431. assign V253184 = V561838 - 1. assign V339744 = V248834 + 1. assign V213796 = V142702 - 1. assign V902302 = V616771 + 1. assign V220706 = V369060 - 1. assign V110671 = V205178 + 1. assign V501639 = V718547. assign V771890 = V073100 - 1. assign V661915 = V605913 - 1. assign V797368 = V897048 - 1. assign V204260 = V108929 - 1. assign V739677 = V142702. assign V185029 = V933562 - 1. assign V067662 = V718547 + 1. assign V650368 = V744887 + 1. assign V169275 = V084411 + 1. assign V554372 = V552498. assign V500068 = V249826. assign V283318 = V784893 + 1. assign V062068 = V897048 + 1. assign V828104 = V170245 + 1. assign V652102 = V501639. assign V228093 = V719428 + 1. assign V614795 = V030061 + 1. assign V512382 = V674590 + 1. assign V280361 = V799220 - 1. assign V073100 = V007981. assign V119595 = V674590 + 1. assign V615010 = V945668 + 1. assign V036712 = V015915 + 1. assign V835068 = V280361 + 1. assign V691743 = V569081. assign V886558 = V741988 - 1. assign V697576 = V771890. assign V779264 = V142702 + 1. assign V024579 = V359273 + 1. assign V259399 = V007981. assign V833579 = V399221 + 1. assign V784893 = V390608 + 1. assign V227109 = V142431 + 1. assign V398503 = V771890. assign V777641 = V589344 - 1. assign V695238 = V029670 - 1. assign V121056 = V481555 - 1. assign V021867 = V804352 + 1. assign V150908 = V007981 + 1. assign V447930 = V499944. assign V481555 = V073100. assign V173019 = V970372 + 1. assign V679910 = V775664. assign V010743 = V107166 - 1. assign V582109 = V674590 + 1. assign V202424 = V464473 - 1. assign V806034 = V561838. assign V142702 = V280361 - 1. assign V989147 = V784893. assign V050079 = V393300 + 1. assign V237886 = V084411 + 1. assign V334719 = V496434 + 1. assign V757592 = V249826 + 1. assign V120031 = V799220. assign V677855 = V007981. assign V569081 = 5. assign V319825 = V744887 - 1. assign V113563 = V945668. assign V359273 = V062068 + 1. assign V284280 = V757592. assign V938972 = V532494 + 1. assign V451125 = V933562 + 1. assign V773732 = V120031. assign V692589 = V110671 - 1. assign V873426 = V185029 - 1. assign V774391 = V449187 - 1. assign V984348 = V620934 - 1. assign V605913 = V744887. assign V496434 = V259399 + 1. assign V084411 = V899406 - 1. assign V680646 = V306569 + 1. assign V015915 = V084411 + 1. assign V107166 = V719428. assign V605661 = V451125 + 1. assign V970372 = V500068 - 1. assign V897048 = V719428 - 1. assign V449187 = V741988 + 1. assign V084490 = V500068. assign V893884 = V730301 - 1. assign V431005 = V933562 + 1. assign V465538 = V169275 - 1. assign V499944 = V398503 + 1. assign V505234 = V398503 - 1. assign V801044 = V989147 - 1. assign V744887 = V677855 + 1. assign V906391 = V757592 + 1. assign V142431 = V797368 + 1. assign V161149 = V582109. assign V662241 = V643971. assign V507229 = V283318 + 1. assign V718547 = V150908 + 1. assign V552498 = V501639. assign V205178 = V288606 - 1. assign V249826 = V150908 - 1. assign V248834 = V237886 - 1. assign V799220 = V249826. assign V619612 = V283318. assign V108929 = V945668. assign V573123 = V697576 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V713913 = V697576 - 1. assign V589344 = V030061 - 1. assign V011609 = V544185 + 1. assign V719428 = V249826. assign V701830 = V073100 + 1. assign V352325 = V306569 - 1. assign V393300 = V260751. assign V492956 = V777641. assign V235402 = V906391 + 1. assign V799513 = V465538 - 1. assign V453910 = V582109 - 1. assign V462437 = V449187 + 1. assign V532494 = V030061 - 1. assign V288606 = V500068 - 1. assign V736579 = V369060 + 1. assign V063268 = V259399 + 1. assign V899406 = V150908 + 1. assign V775664 = V719428 + 1. assign V554361 = V695238 + 1. assign V041383 = V007981 + 1. assign V281347 = V465538. assign V794659 = V757592. assign V328605 = V142431 - 1. assign V510859 = V797368 - 1. assign V730301 = V173019. assign V096711 = V142431 - 1. assign V272020 = V184960 + 1. assign V975011 = V350812 + 1. assign V464473 = V015915. assign V541336 = V835068 + 1. assign V277148 = V249826 - 1. assign V783391 = V554372 + 1. assign V944175 = V063268 + 1. assign V184960 = V398503 + 1. assign V103817 = V205178. assign V741988 = V561838 + 1. assign V399221 = V041383 - 1. assign V050519 = V280361. assign V643971 = V797368 + 1. assign V561838 = V249826. assign V616771 = V369060 + 1. assign V950283 = V697576 - 1. assign V674590 = V084411 - 1. assign V350812 = V390608 + 1. assign V029670 = V237886. assign V625480 = V775664. assign V147404 = V741988 + 1. assign V390299 = V449187. assign V409543 = V970372 + 1. assign V945668 = V775664. assign V390608 = V777641 + 1. assign V070453 = V103817 - 1. assign V170245 = V260751. assign V306569 = V465538. assign V620934 = V500068 + 1. assign V960850 = V616771 + 1. assign V804352 = V007981 - 1. assign V544185 = V950283. assign V369060 = V030061 - 1. assign V320128 = V779264 - 1. assign V749120 = V050079 - 1. assign V933562 = V113563 - 1. assign V427459 = V784893 - 1. assign V030061 = V237886 - 1. assign V098948 = V283318 - 1. assign V260751 = V142431. assign V253184 = V561838 - 1. assign V339744 = V248834 + 1. assign V213796 = V142702 - 1. assign V902302 = V616771 + 1. assign V220706 = V369060 - 1. assign V110671 = V205178 + 1. assign V501639 = V718547. assign V771890 = V073100 - 1. assign V661915 = V605913 - 1. assign V797368 = V897048 - 1. assign V204260 = V108929 - 1. assign V739677 = V142702. assign V185029 = V933562 - 1. assign V067662 = V718547 + 1. assign V650368 = V744887 + 1. assign V169275 = V084411 + 1. assign V554372 = V552498. assign V500068 = V249826. assign V283318 = V784893 + 1. assign V062068 = V897048 + 1. assign V828104 = V170245 + 1. assign V652102 = V501639. assign V228093 = V719428 + 1. assign V614795 = V030061 + 1. assign V512382 = V674590 + 1. assign V280361 = V799220 - 1. assign V073100 = V007981. assign V119595 = V674590 + 1. assign V615010 = V945668 + 1. assign V036712 = V015915 + 1. assign V835068 = V280361 + 1. assign V691743 = V569081. assign V886558 = V741988 - 1. assign V697576 = V771890. assign V779264 = V142702 + 1. assign V024579 = V359273 + 1. assign V259399 = V007981. assign V833579 = V399221 + 1. assign V784893 = V390608 + 1. assign V227109 = V142431 + 1. assign V398503 = V771890. assign V777641 = V589344 - 1. assign V695238 = V029670 - 1. assign V121056 = V481555 - 1. assign V021867 = V804352 + 1. assign V150908 = V007981 + 1. assign V447930 = V499944. assign V481555 = V073100. assign V173019 = V970372 + 1. assign V679910 = V775664. assign V010743 = V107166 - 1. assign V582109 = V674590 + 1. assign V202424 = V464473 - 1. assign V806034 = V561838. assign V142702 = V280361 - 1. assign V989147 = V784893. assign V050079 = V393300 + 1. assign V237886 = V084411 + 1. assign V334719 = V496434 + 1. assign V757592 = V249826 + 1. assign V120031 = V799220. assign V677855 = V007981. assign V569081 = 5. assign V319825 = V744887 - 1. assign V113563 = V945668. assign V359273 = V062068 + 1. assign V284280 = V757592. assign V938972 = V532494 + 1. assign V451125 = V933562 + 1. assign V773732 = V120031. assign V692589 = V110671 - 1. assign V873426 = V185029 - 1. assign V774391 = V449187 - 1. assign V984348 = V620934 - 1. assign V605913 = V744887. assign V496434 = V259399 + 1. assign V084411 = V899406 - 1. assign V680646 = V306569 + 1. assign V015915 = V084411 + 1. assign V107166 = V719428. assign V605661 = V451125 + 1. assign V970372 = V500068 - 1. assign V897048 = V719428 - 1. assign V449187 = V741988 + 1. assign V084490 = V500068. assign V893884 = V730301 - 1. assign V431005 = V933562 + 1. assign V465538 = V169275 - 1. assign V499944 = V398503 + 1. assign V505234 = V398503 - 1. assign V801044 = V989147 - 1. assign V744887 = V677855 + 1. assign V906391 = V757592 + 1. assign V142431 = V797368 + 1. assign V161149 = V582109. assign V662241 = V643971. assign V507229 = V283318 + 1. assign V718547 = V150908 + 1. assign V552498 = V501639. assign V205178 = V288606 - 1. assign V249826 = V150908 - 1. assign V248834 = V237886 - 1. assign V799220 = V249826. assign V619612 = V283318. assign V108929 = V945668. assign V573123 = V697576 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV569081 = 5;\n\nFrom these direct assignment(s), we have: \nV691743 = V569081 = 5;\nNo other variables can be derived from V691743;\nNo other variables can be derived from V569081;\n\nNow we have done all the calculations. Derived variables are:\nV569081 = 5;\nV691743 = 5;\n\nNow we have finished this problem. ANSWER:\nV569081, V691743\n", "role": "assistant" } ]

[ "V010893" ]

[ { "content": "<context>\nassign V370935 = V795702 + 1. assign V219525 = V858177 + 1. assign V066357 = V982384 + 1. assign V734691 = V355440. assign V240884 = V387356 - 1. assign V357903 = V968483 - 1. assign V415444 = V716400. assign V498345 = V268885 + 1. assign V581672 = V139122 + 1. assign V982384 = V303694 - 1. assign V787407 = V586297. assign V865307 = V858177 + 1. assign V896042 = V365294 - 1. assign V108948 = V435325. assign V414540 = V387356. assign V116329 = V723707 + 1. assign V313637 = V787106. assign V332437 = V001325 - 1. assign V342191 = V006404 - 1. assign V566557 = V668906 + 1. assign V139122 = V355440. assign V148230 = V309959. assign V435325 = V802436 - 1. assign V738052 = V030865 - 1. assign V441353 = V595248 - 1. assign V723234 = V352973 + 1. assign V006404 = V355440 - 1. assign V550627 = V586297 + 1. assign V661660 = V067571. assign V283498 = V500551 - 1. assign V378448 = V066357 - 1. assign V727022 = V352973 - 1. assign V758547 = V303694. assign V605681 = V387356 + 1. assign V265337 = V758547 + 1. assign V813312 = V610488 + 1. assign V312430 = V795702 - 1. assign V649146 = V084719 - 1. assign V355440 = V030865 + 1. assign V664648 = V003405 - 1. assign V796951 = V220922 - 1. assign V032278 = V819073 + 1. assign V003405 = V896733. assign V641343 = V605681. assign V220922 = V174003. assign V128753 = V441353 + 1. assign V219911 = V777331 + 1. assign V330397 = V802436 - 1. assign V755373 = V563723 + 1. assign V789960 = V104080 - 1. assign V813259 = V415444 + 1. assign V876262 = V734691. assign V896733 = V692393 + 1. assign V716400 = V149643 + 1. assign V120675 = V332437. assign V099068 = V104080. assign V936251 = V439349. assign V104080 = V605681 + 1. assign V777331 = V758547. assign V319248 = V268885. assign V026415 = V127701 + 1. assign V968009 = V563723 - 1. assign V201814 = V435325 - 1. assign V030865 = V787407 - 1. assign V292467 = V435325 - 1. assign V858177 = V001325. assign V384602 = V692393 + 1. assign V067528 = V030865 + 1. assign V173674 = V818959 - 1. assign V719330 = V641343 + 1. assign V010893 = 7. assign V303694 = V692393. assign V222234 = V174003. assign V876011 = V591104 + 1. assign V878696 = V547077 - 1. assign V187101 = V759603 - 1. assign V067571 = V283498 - 1. assign V364962 = V789960. assign V967754 = V730584 + 1. assign V365294 = V384602. assign V455144 = V149643. assign V631941 = V455144 + 1. assign V149643 = V003405 - 1. assign V795702 = V734691 + 1. assign V891652 = V591104 + 1. assign V633602 = V587993. assign V586464 = V067528. assign V275499 = V777331. assign V586297 = V563723 + 1. assign V818959 = V802436 - 1. assign V668540 = V357903 + 1. assign V776803 = V632200. assign V528837 = V819073 - 1. assign V773279 = V400637. assign V789992 = V563723. assign V576353 = V498345 - 1. assign V439349 = V832863 + 1. assign V375494 = V705464 + 1. assign V392048 = V010893 + 1. assign V595248 = V968483 + 1. assign V439693 = V586297. assign V772672 = V526030. assign V352973 = V174003 - 1. assign V127701 = V001325 + 1. assign V145732 = V222234 - 1. assign V268885 = V818959 + 1. assign V327517 = V896733. assign V332977 = V387356 + 1. assign V051860 = V377729 - 1. assign V343165 = V379070 + 1. assign V739940 = V876262 - 1. assign V632200 = V435325 - 1. assign V107412 = V641343 - 1. assign V734008 = V787106 - 1. assign V398183 = V030865. assign V194061 = V968009 - 1. assign V164338 = V550627. assign V526030 = V587993. assign V819073 = V692393 + 1. assign V539575 = V303694 + 1. assign V400637 = V435325 - 1. assign V758219 = V716400 - 1. assign V178090 = V174003 + 1. assign V036988 = V692393. assign V048068 = V313637 - 1. assign V206596 = V435325 + 1. assign V800003 = V313637 - 1. assign V587993 = V705464 + 1. assign V084719 = V387356 + 1. assign V016034 = V755373 + 1. assign V759603 = V968483 + 1. assign V562277 = V066357 - 1. assign V752595 = V734691 - 1. assign V705311 = V283498 + 1. assign V309959 = V387356 + 1. assign V668906 = V275499 - 1. assign V410870 = V378448. assign V697501 = V576353 - 1. assign V832863 = V716400. assign V037238 = V813312 + 1. assign V113163 = V332437. assign V087216 = V173674. assign V153394 = V415444 + 1. assign V577611 = V734691. assign V723707 = V563723 - 1. assign V500551 = V858177 - 1. assign V591104 = V435325 - 1. assign V610488 = V036988. assign V705464 = V692393. assign V968483 = V563723. assign V379070 = V265337 - 1. assign V904799 = V032278 + 1. assign V174003 = V030865 - 1. assign V003287 = V563723. assign V407168 = V664648. assign V547077 = V003287. assign V001325 = V084719 - 1. assign V730584 = V539575. assign V787106 = V036988 - 1. assign V295713 = V364962 + 1. assign V387356 = V692393 - 1. assign V622544 = V435325 + 1. assign V501540 = V591104. assign V563723 = V896733 + 1. assign V286229 = V220922. assign V192711 = V865307 - 1. assign V911931 = V128753. assign V802436 = V003405. assign V377729 = V819073. assign V544194 = V968483. assign V971347 = V632200. assign V665840 = V003405.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V370935 = V795702 + 1. assign V219525 = V858177 + 1. assign V066357 = V982384 + 1. assign V734691 = V355440. assign V240884 = V387356 - 1. assign V357903 = V968483 - 1. assign V415444 = V716400. assign V498345 = V268885 + 1. assign V581672 = V139122 + 1. assign V982384 = V303694 - 1. assign V787407 = V586297. assign V865307 = V858177 + 1. assign V896042 = V365294 - 1. assign V108948 = V435325. assign V414540 = V387356. assign V116329 = V723707 + 1. assign V313637 = V787106. assign V332437 = V001325 - 1. assign V342191 = V006404 - 1. assign V566557 = V668906 + 1. assign V139122 = V355440. assign V148230 = V309959. assign V435325 = V802436 - 1. assign V738052 = V030865 - 1. assign V441353 = V595248 - 1. assign V723234 = V352973 + 1. assign V006404 = V355440 - 1. assign V550627 = V586297 + 1. assign V661660 = V067571. assign V283498 = V500551 - 1. assign V378448 = V066357 - 1. assign V727022 = V352973 - 1. assign V758547 = V303694. assign V605681 = V387356 + 1. assign V265337 = V758547 + 1. assign V813312 = V610488 + 1. assign V312430 = V795702 - 1. assign V649146 = V084719 - 1. assign V355440 = V030865 + 1. assign V664648 = V003405 - 1. assign V796951 = V220922 - 1. assign V032278 = V819073 + 1. assign V003405 = V896733. assign V641343 = V605681. assign V220922 = V174003. assign V128753 = V441353 + 1. assign V219911 = V777331 + 1. assign V330397 = V802436 - 1. assign V755373 = V563723 + 1. assign V789960 = V104080 - 1. assign V813259 = V415444 + 1. assign V876262 = V734691. assign V896733 = V692393 + 1. assign V716400 = V149643 + 1. assign V120675 = V332437. assign V099068 = V104080. assign V936251 = V439349. assign V104080 = V605681 + 1. assign V777331 = V758547. assign V319248 = V268885. assign V026415 = V127701 + 1. assign V968009 = V563723 - 1. assign V201814 = V435325 - 1. assign V030865 = V787407 - 1. assign V292467 = V435325 - 1. assign V858177 = V001325. assign V384602 = V692393 + 1. assign V067528 = V030865 + 1. assign V173674 = V818959 - 1. assign V719330 = V641343 + 1. assign V010893 = 7. assign V303694 = V692393. assign V222234 = V174003. assign V876011 = V591104 + 1. assign V878696 = V547077 - 1. assign V187101 = V759603 - 1. assign V067571 = V283498 - 1. assign V364962 = V789960. assign V967754 = V730584 + 1. assign V365294 = V384602. assign V455144 = V149643. assign V631941 = V455144 + 1. assign V149643 = V003405 - 1. assign V795702 = V734691 + 1. assign V891652 = V591104 + 1. assign V633602 = V587993. assign V586464 = V067528. assign V275499 = V777331. assign V586297 = V563723 + 1. assign V818959 = V802436 - 1. assign V668540 = V357903 + 1. assign V776803 = V632200. assign V528837 = V819073 - 1. assign V773279 = V400637. assign V789992 = V563723. assign V576353 = V498345 - 1. assign V439349 = V832863 + 1. assign V375494 = V705464 + 1. assign V392048 = V010893 + 1. assign V595248 = V968483 + 1. assign V439693 = V586297. assign V772672 = V526030. assign V352973 = V174003 - 1. assign V127701 = V001325 + 1. assign V145732 = V222234 - 1. assign V268885 = V818959 + 1. assign V327517 = V896733. assign V332977 = V387356 + 1. assign V051860 = V377729 - 1. assign V343165 = V379070 + 1. assign V739940 = V876262 - 1. assign V632200 = V435325 - 1. assign V107412 = V641343 - 1. assign V734008 = V787106 - 1. assign V398183 = V030865. assign V194061 = V968009 - 1. assign V164338 = V550627. assign V526030 = V587993. assign V819073 = V692393 + 1. assign V539575 = V303694 + 1. assign V400637 = V435325 - 1. assign V758219 = V716400 - 1. assign V178090 = V174003 + 1. assign V036988 = V692393. assign V048068 = V313637 - 1. assign V206596 = V435325 + 1. assign V800003 = V313637 - 1. assign V587993 = V705464 + 1. assign V084719 = V387356 + 1. assign V016034 = V755373 + 1. assign V759603 = V968483 + 1. assign V562277 = V066357 - 1. assign V752595 = V734691 - 1. assign V705311 = V283498 + 1. assign V309959 = V387356 + 1. assign V668906 = V275499 - 1. assign V410870 = V378448. assign V697501 = V576353 - 1. assign V832863 = V716400. assign V037238 = V813312 + 1. assign V113163 = V332437. assign V087216 = V173674. assign V153394 = V415444 + 1. assign V577611 = V734691. assign V723707 = V563723 - 1. assign V500551 = V858177 - 1. assign V591104 = V435325 - 1. assign V610488 = V036988. assign V705464 = V692393. assign V968483 = V563723. assign V379070 = V265337 - 1. assign V904799 = V032278 + 1. assign V174003 = V030865 - 1. assign V003287 = V563723. assign V407168 = V664648. assign V547077 = V003287. assign V001325 = V084719 - 1. assign V730584 = V539575. assign V787106 = V036988 - 1. assign V295713 = V364962 + 1. assign V387356 = V692393 - 1. assign V622544 = V435325 + 1. assign V501540 = V591104. assign V563723 = V896733 + 1. assign V286229 = V220922. assign V192711 = V865307 - 1. assign V911931 = V128753. assign V802436 = V003405. assign V377729 = V819073. assign V544194 = V968483. assign V971347 = V632200. assign V665840 = V003405.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV010893 = 7;\n\nFrom these direct assignment(s), we have: \nV392048 = V010893 + 1 = 7 + 1 =8;\nNo other variables can be derived from V392048;\nNo other variables can be derived from V010893;\n\nNow we have done all the calculations. Derived variables are:\nV010893 = 7;\nV392048 = 8;\n\nNow we have finished this problem. ANSWER:\nV010893\n", "role": "assistant" } ]

[ "V873877" ]

[ { "content": "<context>\nassign V101885 = V389345 + 1. assign V554223 = V263547 - 1. assign V988922 = V588214 + 1. assign V857625 = V869656 - 1. assign V122449 = V497788. assign V033643 = V560341 + 1. assign V487503 = V039781. assign V878589 = V917769 + 1. assign V507711 = V588566 - 1. assign V483196 = V996614 + 1. assign V156783 = V860389 - 1. assign V873877 = 0. assign V077926 = V687326. assign V420104 = V219259 - 1. assign V492644 = V474577 + 1. assign V996614 = V677834 - 1. assign V064925 = V263547 + 1. assign V830250 = V064925 - 1. assign V212091 = V893156. assign V869656 = V165241 + 1. assign V049559 = V958874. assign V617090 = V958874 - 1. assign V319741 = V025785 + 1. assign V764821 = V283476 - 1. assign V635061 = V998904 + 1. assign V219259 = V988922. assign V340009 = V687326. assign V794955 = V526914 - 1. assign V497300 = V905537. assign V311720 = V575938 - 1. assign V704369 = V223385 - 1. assign V864966 = V025785. assign V422626 = V498941 + 1. assign V435617 = V693008 - 1. assign V190871 = V872815 + 1. assign V043529 = V774481. assign V436459 = V605606 + 1. assign V191940 = V379739. assign V839633 = V049559. assign V917769 = V560341. assign V325922 = V438331 - 1. assign V618661 = V837483 - 1. assign V655977 = V064925 + 1. assign V879588 = V483852. assign V933567 = V635061 - 1. assign V025785 = V085401. assign V558608 = V655977 - 1. assign V709611 = V064925 + 1. assign V283476 = V483852 - 1. assign V618151 = V025785 + 1. assign V633395 = V223385 - 1. assign V180839 = V824170. assign V588214 = V526914 + 1. assign V238293 = V872815 + 1. assign V925145 = V588214 - 1. assign V263547 = V338598 + 1. assign V246430 = V966044 + 1. assign V389345 = V905537 + 1. assign V366065 = V733008. assign V834123 = V618151. assign V165397 = V979210. assign V613063 = V283476. assign V060383 = V655977 - 1. assign V590065 = V560341. assign V706102 = V605606 + 1. assign V698235 = V483852 + 1. assign V922516 = V492644. assign V380652 = V104375 - 1. assign V162220 = V968112 + 1. assign V717027 = V921255 + 1. assign V594808 = V617567. assign V924936 = V873877 + 1. assign V010472 = V018381 + 1. assign V908215 = V698235 - 1. assign V041811 = V979210. assign V113861 = V223385 + 1. assign V417629 = V731869. assign V192589 = V905537 - 1. assign V014107 = V872815 - 1. assign V893156 = V878589. assign V475140 = V446395 - 1. assign V687763 = V498941 + 1. assign V438331 = V283476. assign V979210 = V483852. assign V219985 = V338598 + 1. assign V638595 = V073693 + 1. assign V337563 = V498941. assign V037307 = V498941 + 1. assign V968112 = V644899 - 1. assign V698227 = V238293 - 1. assign V176302 = V122449 - 1. assign V058628 = V921255. assign V731869 = V219259. assign V677834 = V794955. assign V872815 = V988922. assign V867981 = V113861. assign V169736 = V104375 - 1. assign V369489 = V039781. assign V318197 = V238293. assign V205754 = V064925. assign V164424 = V644899 - 1. assign V474577 = V639437. assign V095897 = V238293 + 1. assign V104375 = V864966 + 1. assign V905537 = V526914 - 1. assign V382598 = V077926. assign V837483 = V164424 + 1. assign V503472 = V399847. assign V207906 = V878589. assign V860389 = V338598 - 1. assign V617567 = V394323 - 1. assign V644899 = V588214 + 1. assign V415260 = V435617 - 1. assign V575938 = V394323. assign V185155 = V338598 + 1. assign V109737 = V223385. assign V824170 = V687326. assign V805087 = V165397 - 1. assign V167602 = V041811 + 1. assign V399847 = V896096. assign V497788 = V394323. assign V450813 = V028139 - 1. assign V399745 = V618661. assign V039781 = V283476 + 1. assign V394323 = V588566 + 1. assign V371351 = V588214 - 1. assign V037510 = V717833 - 1. assign V465535 = V205754 + 1. assign V644511 = V085401 + 1. assign V288572 = V939171. assign V223385 = V379739 - 1. assign V872542 = V959253 - 1. assign V687326 = V389345 + 1. assign V936670 = V185155 - 1. assign V605606 = V438331. assign V085401 = V379739 - 1. assign V560341 = V554223 + 1. assign V740530 = V824651 - 1. assign V028139 = V394323 + 1. assign V774481 = V860389 + 1. assign V958874 = V655977 - 1. assign V073693 = V633395 - 1. assign V528668 = V979210. assign V670512 = V438331 - 1. assign V018381 = V371351. assign V994723 = V025785 - 1. assign V331715 = V422626 - 1. assign V588566 = V526914 - 1. assign V939171 = V998904 - 1. assign V717833 = V644899. assign V379739 = V338598. assign V224650 = V939171 - 1. assign V970442 = V497788 + 1. assign V966044 = V191940 + 1. assign V612579 = V028139. assign V733008 = V693008 - 1. assign V165241 = V371351 + 1. assign V483852 = V588214 - 1. assign V998904 = V979210 + 1. assign V896096 = V095897 - 1. assign V585137 = V979210 + 1. assign V639437 = V905537. assign V441963 = V693008. assign V824651 = V073693 + 1. assign V446395 = V794955 + 1. assign V338598 = V588214 - 1. assign V693008 = V996614 + 1. assign V959253 = V837483 - 1. assign V331349 = V219985 + 1. assign V921255 = V263547 - 1. assign V498941 = V025785. assign V635501 = V446395.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V101885 = V389345 + 1. assign V554223 = V263547 - 1. assign V988922 = V588214 + 1. assign V857625 = V869656 - 1. assign V122449 = V497788. assign V033643 = V560341 + 1. assign V487503 = V039781. assign V878589 = V917769 + 1. assign V507711 = V588566 - 1. assign V483196 = V996614 + 1. assign V156783 = V860389 - 1. assign V873877 = 0. assign V077926 = V687326. assign V420104 = V219259 - 1. assign V492644 = V474577 + 1. assign V996614 = V677834 - 1. assign V064925 = V263547 + 1. assign V830250 = V064925 - 1. assign V212091 = V893156. assign V869656 = V165241 + 1. assign V049559 = V958874. assign V617090 = V958874 - 1. assign V319741 = V025785 + 1. assign V764821 = V283476 - 1. assign V635061 = V998904 + 1. assign V219259 = V988922. assign V340009 = V687326. assign V794955 = V526914 - 1. assign V497300 = V905537. assign V311720 = V575938 - 1. assign V704369 = V223385 - 1. assign V864966 = V025785. assign V422626 = V498941 + 1. assign V435617 = V693008 - 1. assign V190871 = V872815 + 1. assign V043529 = V774481. assign V436459 = V605606 + 1. assign V191940 = V379739. assign V839633 = V049559. assign V917769 = V560341. assign V325922 = V438331 - 1. assign V618661 = V837483 - 1. assign V655977 = V064925 + 1. assign V879588 = V483852. assign V933567 = V635061 - 1. assign V025785 = V085401. assign V558608 = V655977 - 1. assign V709611 = V064925 + 1. assign V283476 = V483852 - 1. assign V618151 = V025785 + 1. assign V633395 = V223385 - 1. assign V180839 = V824170. assign V588214 = V526914 + 1. assign V238293 = V872815 + 1. assign V925145 = V588214 - 1. assign V263547 = V338598 + 1. assign V246430 = V966044 + 1. assign V389345 = V905537 + 1. assign V366065 = V733008. assign V834123 = V618151. assign V165397 = V979210. assign V613063 = V283476. assign V060383 = V655977 - 1. assign V590065 = V560341. assign V706102 = V605606 + 1. assign V698235 = V483852 + 1. assign V922516 = V492644. assign V380652 = V104375 - 1. assign V162220 = V968112 + 1. assign V717027 = V921255 + 1. assign V594808 = V617567. assign V924936 = V873877 + 1. assign V010472 = V018381 + 1. assign V908215 = V698235 - 1. assign V041811 = V979210. assign V113861 = V223385 + 1. assign V417629 = V731869. assign V192589 = V905537 - 1. assign V014107 = V872815 - 1. assign V893156 = V878589. assign V475140 = V446395 - 1. assign V687763 = V498941 + 1. assign V438331 = V283476. assign V979210 = V483852. assign V219985 = V338598 + 1. assign V638595 = V073693 + 1. assign V337563 = V498941. assign V037307 = V498941 + 1. assign V968112 = V644899 - 1. assign V698227 = V238293 - 1. assign V176302 = V122449 - 1. assign V058628 = V921255. assign V731869 = V219259. assign V677834 = V794955. assign V872815 = V988922. assign V867981 = V113861. assign V169736 = V104375 - 1. assign V369489 = V039781. assign V318197 = V238293. assign V205754 = V064925. assign V164424 = V644899 - 1. assign V474577 = V639437. assign V095897 = V238293 + 1. assign V104375 = V864966 + 1. assign V905537 = V526914 - 1. assign V382598 = V077926. assign V837483 = V164424 + 1. assign V503472 = V399847. assign V207906 = V878589. assign V860389 = V338598 - 1. assign V617567 = V394323 - 1. assign V644899 = V588214 + 1. assign V415260 = V435617 - 1. assign V575938 = V394323. assign V185155 = V338598 + 1. assign V109737 = V223385. assign V824170 = V687326. assign V805087 = V165397 - 1. assign V167602 = V041811 + 1. assign V399847 = V896096. assign V497788 = V394323. assign V450813 = V028139 - 1. assign V399745 = V618661. assign V039781 = V283476 + 1. assign V394323 = V588566 + 1. assign V371351 = V588214 - 1. assign V037510 = V717833 - 1. assign V465535 = V205754 + 1. assign V644511 = V085401 + 1. assign V288572 = V939171. assign V223385 = V379739 - 1. assign V872542 = V959253 - 1. assign V687326 = V389345 + 1. assign V936670 = V185155 - 1. assign V605606 = V438331. assign V085401 = V379739 - 1. assign V560341 = V554223 + 1. assign V740530 = V824651 - 1. assign V028139 = V394323 + 1. assign V774481 = V860389 + 1. assign V958874 = V655977 - 1. assign V073693 = V633395 - 1. assign V528668 = V979210. assign V670512 = V438331 - 1. assign V018381 = V371351. assign V994723 = V025785 - 1. assign V331715 = V422626 - 1. assign V588566 = V526914 - 1. assign V939171 = V998904 - 1. assign V717833 = V644899. assign V379739 = V338598. assign V224650 = V939171 - 1. assign V970442 = V497788 + 1. assign V966044 = V191940 + 1. assign V612579 = V028139. assign V733008 = V693008 - 1. assign V165241 = V371351 + 1. assign V483852 = V588214 - 1. assign V998904 = V979210 + 1. assign V896096 = V095897 - 1. assign V585137 = V979210 + 1. assign V639437 = V905537. assign V441963 = V693008. assign V824651 = V073693 + 1. assign V446395 = V794955 + 1. assign V338598 = V588214 - 1. assign V693008 = V996614 + 1. assign V959253 = V837483 - 1. assign V331349 = V219985 + 1. assign V921255 = V263547 - 1. assign V498941 = V025785. assign V635501 = V446395.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV873877 = 0;\n\nFrom these direct assignment(s), we have: \nV924936 = V873877 + 1 = 0 + 1 =1;\nNo other variables can be derived from V924936;\nNo other variables can be derived from V873877;\n\nNow we have done all the calculations. Derived variables are:\nV873877 = 0;\nV924936 = 1;\n\nNow we have finished this problem. ANSWER:\nV873877\n", "role": "assistant" } ]

[ "V631931" ]

[ { "content": "<context>\nassign V392980 = V374165 - 1. assign V889018 = V868954 + 1. assign V757796 = V079512 + 1. assign V968564 = V910192. assign V774828 = V795802 - 1. assign V633455 = V753864. assign V999208 = V468862 - 1. assign V504334 = V065380. assign V775571 = V566305. assign V986507 = V440181. assign V455622 = 4. assign V733846 = V867024. assign V605978 = V619983 - 1. assign V136162 = V989107 + 1. assign V444995 = V612106 - 1. assign V130373 = V276246 + 1. assign V871377 = V271231 - 1. assign V746497 = V605978 - 1. assign V058495 = V989107. assign V619983 = V276246. assign V295717 = V967956 + 1. assign V039490 = V468862 - 1. assign V390132 = V196005 - 1. assign V113166 = V786101 + 1. assign V369425 = V752045 - 1. assign V502513 = V099811 - 1. assign V196005 = V673897 + 1. assign V351318 = V733846 - 1. assign V686954 = V415348 - 1. assign V905765 = V850791. assign V705827 = V320022 - 1. assign V853334 = V632467 - 1. assign V703411 = V444995 + 1. assign V632693 = V819736 + 1. assign V212526 = V752045. assign V321873 = V440181 - 1. assign V922246 = V733846. assign V620882 = V295717 - 1. assign V250632 = V757796. assign V940290 = V748229. assign V512284 = V632467 - 1. assign V299687 = V304328. assign V188534 = V440181 - 1. assign V366434 = V271231. assign V488178 = V955013 + 1. assign V991250 = V705827 + 1. assign V828165 = V995153 - 1. assign V919029 = V065380. assign V945245 = V619983. assign V970147 = V468862 + 1. assign V588519 = V775571. assign V616792 = V320022 + 1. assign V383266 = V748229 - 1. assign V513086 = V918424. assign V448056 = V054448 + 1. assign V555864 = V967956 + 1. assign V756949 = V991250. assign V786101 = V922246 + 1. assign V478865 = V730366. assign V740090 = V612106 + 1. assign V399813 = V098774 + 1. assign V580018 = V271231 + 1. assign V099811 = V251104 - 1. assign V249395 = V115066 - 1. assign V752045 = V440181 + 1. assign V659924 = V922246. assign V566305 = V740090 - 1. assign V676136 = V531391. assign V634756 = V393324 + 1. assign V537215 = V258852. assign V228858 = V705827. assign V606368 = V795802 + 1. assign V707821 = V440181 + 1. assign V876734 = V895617. assign V068518 = V775057. assign V995153 = V707821 - 1. assign V847975 = V889018 - 1. assign V098774 = V351318 + 1. assign V271231 = V989107 + 1. assign V632467 = V703411 - 1. assign V918424 = V058495. assign V336525 = V253147 - 1. assign V955013 = V707821 + 1. assign V989107 = V707821 + 1. assign V911808 = V327939. assign V867024 = V440181 + 1. assign V727066 = V369425 + 1. assign V081138 = V058495 + 1. assign V253147 = V566305 + 1. assign V231417 = V351318. assign V212228 = V387249 + 1. assign V868954 = V360055. assign V061978 = V671947. assign V748229 = V058495. assign V360055 = V440181 - 1. assign V753864 = V989107 - 1. assign V002311 = V276246 + 1. assign V828117 = V061978 + 1. assign V612106 = V578161 - 1. assign V531391 = V188534 - 1. assign V399669 = V753864 + 1. assign V506725 = V850791 - 1. assign V490451 = V415348. assign V067872 = V122465 + 1. assign V895617 = V098774. assign V440181 = V578161 + 1. assign V768062 = V541545 - 1. assign V261142 = V541545 - 1. assign V970344 = V989107. assign V194079 = V989107. assign V541545 = V707821 - 1. assign V755376 = V440181. assign V819736 = V905765 - 1. assign V708492 = V504334 + 1. assign V320022 = V733846. assign V468862 = V619983 + 1. assign V258852 = V415348. assign V741149 = V065621. assign V730366 = V703411 + 1. assign V477715 = V504334. assign V824789 = V919029. assign V910192 = V327939 + 1. assign V171165 = V541545 - 1. assign V251104 = V506725. assign V261807 = V775571 - 1. assign V612504 = V188534. assign V671947 = V468862. assign V673897 = V188534. assign V415348 = V922246 + 1. assign V700590 = V504334. assign V702894 = V360055 - 1. assign V990935 = V945245 + 1. assign V002667 = V824789. assign V193757 = V468862. assign V728443 = V415348 - 1. assign V393324 = V115066. assign V967956 = V748229. assign V674865 = V606368. assign V122465 = V506725 + 1. assign V276246 = V850791. assign V390546 = V740090 - 1. assign V719065 = V605978. assign V065380 = V360055 - 1. assign V761565 = V970147 - 1. assign V649246 = V440181. assign V374165 = V768062 + 1. assign V342784 = V730366 - 1. assign V903532 = V188534 - 1. assign V928889 = V488178. assign V743989 = V649246 + 1. assign V065621 = V444995 + 1. assign V130146 = V775571 - 1. assign V304328 = V619983 - 1. assign V572076 = V130373 - 1. assign V079512 = V360055. assign V631931 = V455622 - 1. assign V366332 = V387249 - 1. assign V153537 = V488178. assign V548190 = V919029 + 1. assign V115066 = V360055. assign V327939 = V850791 - 1. assign V978280 = V775571 - 1. assign V387249 = V415348 + 1. assign V054448 = V671947 + 1. assign V775057 = V360055. assign V140439 = V728443 + 1. assign V917019 = V566305 + 1. assign V850791 = V707821 + 1. assign V066942 = V212526. assign V615749 = V387249 + 1. assign V811620 = V136162. assign V795802 = V002311 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V392980 = V374165 - 1. assign V889018 = V868954 + 1. assign V757796 = V079512 + 1. assign V968564 = V910192. assign V774828 = V795802 - 1. assign V633455 = V753864. assign V999208 = V468862 - 1. assign V504334 = V065380. assign V775571 = V566305. assign V986507 = V440181. assign V455622 = 4. assign V733846 = V867024. assign V605978 = V619983 - 1. assign V136162 = V989107 + 1. assign V444995 = V612106 - 1. assign V130373 = V276246 + 1. assign V871377 = V271231 - 1. assign V746497 = V605978 - 1. assign V058495 = V989107. assign V619983 = V276246. assign V295717 = V967956 + 1. assign V039490 = V468862 - 1. assign V390132 = V196005 - 1. assign V113166 = V786101 + 1. assign V369425 = V752045 - 1. assign V502513 = V099811 - 1. assign V196005 = V673897 + 1. assign V351318 = V733846 - 1. assign V686954 = V415348 - 1. assign V905765 = V850791. assign V705827 = V320022 - 1. assign V853334 = V632467 - 1. assign V703411 = V444995 + 1. assign V632693 = V819736 + 1. assign V212526 = V752045. assign V321873 = V440181 - 1. assign V922246 = V733846. assign V620882 = V295717 - 1. assign V250632 = V757796. assign V940290 = V748229. assign V512284 = V632467 - 1. assign V299687 = V304328. assign V188534 = V440181 - 1. assign V366434 = V271231. assign V488178 = V955013 + 1. assign V991250 = V705827 + 1. assign V828165 = V995153 - 1. assign V919029 = V065380. assign V945245 = V619983. assign V970147 = V468862 + 1. assign V588519 = V775571. assign V616792 = V320022 + 1. assign V383266 = V748229 - 1. assign V513086 = V918424. assign V448056 = V054448 + 1. assign V555864 = V967956 + 1. assign V756949 = V991250. assign V786101 = V922246 + 1. assign V478865 = V730366. assign V740090 = V612106 + 1. assign V399813 = V098774 + 1. assign V580018 = V271231 + 1. assign V099811 = V251104 - 1. assign V249395 = V115066 - 1. assign V752045 = V440181 + 1. assign V659924 = V922246. assign V566305 = V740090 - 1. assign V676136 = V531391. assign V634756 = V393324 + 1. assign V537215 = V258852. assign V228858 = V705827. assign V606368 = V795802 + 1. assign V707821 = V440181 + 1. assign V876734 = V895617. assign V068518 = V775057. assign V995153 = V707821 - 1. assign V847975 = V889018 - 1. assign V098774 = V351318 + 1. assign V271231 = V989107 + 1. assign V632467 = V703411 - 1. assign V918424 = V058495. assign V336525 = V253147 - 1. assign V955013 = V707821 + 1. assign V989107 = V707821 + 1. assign V911808 = V327939. assign V867024 = V440181 + 1. assign V727066 = V369425 + 1. assign V081138 = V058495 + 1. assign V253147 = V566305 + 1. assign V231417 = V351318. assign V212228 = V387249 + 1. assign V868954 = V360055. assign V061978 = V671947. assign V748229 = V058495. assign V360055 = V440181 - 1. assign V753864 = V989107 - 1. assign V002311 = V276246 + 1. assign V828117 = V061978 + 1. assign V612106 = V578161 - 1. assign V531391 = V188534 - 1. assign V399669 = V753864 + 1. assign V506725 = V850791 - 1. assign V490451 = V415348. assign V067872 = V122465 + 1. assign V895617 = V098774. assign V440181 = V578161 + 1. assign V768062 = V541545 - 1. assign V261142 = V541545 - 1. assign V970344 = V989107. assign V194079 = V989107. assign V541545 = V707821 - 1. assign V755376 = V440181. assign V819736 = V905765 - 1. assign V708492 = V504334 + 1. assign V320022 = V733846. assign V468862 = V619983 + 1. assign V258852 = V415348. assign V741149 = V065621. assign V730366 = V703411 + 1. assign V477715 = V504334. assign V824789 = V919029. assign V910192 = V327939 + 1. assign V171165 = V541545 - 1. assign V251104 = V506725. assign V261807 = V775571 - 1. assign V612504 = V188534. assign V671947 = V468862. assign V673897 = V188534. assign V415348 = V922246 + 1. assign V700590 = V504334. assign V702894 = V360055 - 1. assign V990935 = V945245 + 1. assign V002667 = V824789. assign V193757 = V468862. assign V728443 = V415348 - 1. assign V393324 = V115066. assign V967956 = V748229. assign V674865 = V606368. assign V122465 = V506725 + 1. assign V276246 = V850791. assign V390546 = V740090 - 1. assign V719065 = V605978. assign V065380 = V360055 - 1. assign V761565 = V970147 - 1. assign V649246 = V440181. assign V374165 = V768062 + 1. assign V342784 = V730366 - 1. assign V903532 = V188534 - 1. assign V928889 = V488178. assign V743989 = V649246 + 1. assign V065621 = V444995 + 1. assign V130146 = V775571 - 1. assign V304328 = V619983 - 1. assign V572076 = V130373 - 1. assign V079512 = V360055. assign V631931 = V455622 - 1. assign V366332 = V387249 - 1. assign V153537 = V488178. assign V548190 = V919029 + 1. assign V115066 = V360055. assign V327939 = V850791 - 1. assign V978280 = V775571 - 1. assign V387249 = V415348 + 1. assign V054448 = V671947 + 1. assign V775057 = V360055. assign V140439 = V728443 + 1. assign V917019 = V566305 + 1. assign V850791 = V707821 + 1. assign V066942 = V212526. assign V615749 = V387249 + 1. assign V811620 = V136162. assign V795802 = V002311 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV455622 = 4;\n\nFrom these direct assignment(s), we have: \nV631931 = V455622 - 1 = 4 - 1 =3;\nNo other variables can be derived from V631931;\nNo other variables can be derived from V455622;\n\nNow we have done all the calculations. Derived variables are:\nV455622 = 4;\nV631931 = 3;\n\nNow we have finished this problem. ANSWER:\nV631931\n", "role": "assistant" } ]

[ "V084905" ]

[ { "content": "<context>\nassign V200232 = V540586 + 1. assign V377211 = V617856 - 1. assign V326797 = V867384 + 1. assign V993336 = V877748 - 1. assign V034793 = V572118 + 1. assign V575344 = V066127. assign V860888 = V020043 - 1. assign V571501 = V683332. assign V568734 = V943109 - 1. assign V942336 = V000535. assign V924569 = V757521 + 1. assign V360673 = V535779 + 1. assign V957559 = V179469 - 1. assign V237531 = V044424 + 1. assign V049577 = V693891 + 1. assign V109055 = V584062 + 1. assign V413902 = V360673. assign V258857 = V135210 - 1. assign V959343 = V007636 - 1. assign V878888 = V798321 + 1. assign V040344 = V362203 - 1. assign V867328 = V319327 + 1. assign V245966 = V034793. assign V805103 = V463209. assign V088955 = V863791 - 1. assign V776988 = V584062 - 1. assign V000535 = V683332 - 1. assign V616347 = V201010 - 1. assign V388879 = V547451. assign V936330 = V584062. assign V510116 = V815052. assign V233427 = V825246 + 1. assign V582067 = V233427 + 1. assign V997678 = V535571. assign V605247 = V535413 + 1. assign V187007 = V757521 + 1. assign V480133 = V369390 - 1. assign V264831 = V683332 + 1. assign V795036 = V850021. assign V986521 = V936330 + 1. assign V048322 = V130797 + 1. assign V317021 = V683332. assign V385961 = V179469 - 1. assign V850021 = V572118 - 1. assign V396666 = V131203 + 1. assign V815052 = V568734 - 1. assign V228427 = V206140. assign V995626 = V943109 + 1. assign V397581 = V572118 - 1. assign V617856 = V942336 - 1. assign V102075 = V863791. assign V540586 = V920186 - 1. assign V889249 = V683332. assign V531880 = V867384 - 1. assign V867384 = V850021 + 1. assign V043074 = V683332. assign V817554 = V796297. assign V962713 = V396666 + 1. assign V493511 = V886653 - 1. assign V490476 = V245966. assign V221870 = V350111. assign V169223 = V997678 - 1. assign V994213 = V377211. assign V547451 = V264831 - 1. assign V758979 = V007636 - 1. assign V577220 = V237531 + 1. assign V003406 = V920186 + 1. assign V201010 = V000535. assign V887354 = V535413. assign V179469 = V206140 - 1. assign V181285 = V283454 - 1. assign V564667 = V362203 + 1. assign V991463 = V943109 + 1. assign V531586 = V957559 + 1. assign V799964 = V850021. assign V603690 = V317021 - 1. assign V206140 = V683332. assign V608751 = V850021 + 1. assign V228170 = V795036 + 1. assign V190792 = V326797. assign V798321 = V326797 + 1. assign V943109 = V683332 - 1. assign V670299 = V540586 - 1. assign V042832 = V889249. assign V773512 = V510116 + 1. assign V028407 = V463209 + 1. assign V369390 = V000535 + 1. assign V959540 = V943109 - 1. assign V044424 = V997678 + 1. assign V715994 = V350111. assign V693891 = V369390. assign V795719 = V000535 - 1. assign V623708 = V397581 - 1. assign V476707 = V799964 + 1. assign V650334 = V963033. assign V816293 = V476707 - 1. assign V175279 = V480133 - 1. assign V587591 = V905833 - 1. assign V877748 = V377098. assign V324427 = V319327 - 1. assign V391771 = V135210. assign V535413 = V264831. assign V318263 = V228170 - 1. assign V921159 = V376443 + 1. assign V020043 = V245966 + 1. assign V382795 = V020043. assign V084905 = 1. assign V958881 = V815052. assign V463209 = V683332 - 1. assign V920186 = V201010. assign V376443 = V942336 + 1. assign V963033 = V040344. assign V439594 = V283454. assign V355631 = V795036. assign V947872 = V867384 + 1. assign V131203 = V319327 - 1. assign V548970 = V799964 + 1. assign V345955 = V084905 + 1. assign V294406 = V572118 + 1. assign V009603 = V369390. assign V629559 = V795036 - 1. assign V715734 = V535571. assign V738755 = V651084 - 1. assign V135210 = V651084 + 1. assign V219999 = V201010 + 1. assign V066127 = V397581 - 1. assign V572118 = V683332 - 1. assign V863791 = V535413. assign V261259 = V283454 + 1. assign V362203 = V264831 - 1. assign V276344 = V670299. assign V155285 = V535413 - 1. assign V350111 = V501543 - 1. assign V283454 = V396666 + 1. assign V501543 = V000535 - 1. assign V535571 = V040344 - 1. assign V905833 = V034793. assign V584062 = V850021 - 1. assign V535779 = V102075 + 1. assign V007636 = V179469 + 1. assign V914539 = V245966 - 1. assign V082684 = V376443 + 1. assign V552962 = V878888 - 1. assign V052342 = V582147. assign V745044 = V683332 - 1. assign V825246 = V905833 - 1. assign V443161 = V369390. assign V277565 = V319327. assign V902699 = V382795. assign V666941 = V221870 + 1. assign V290792 = V867328 + 1. assign V596447 = V977375. assign V582147 = V317021. assign V237570 = V206140. assign V977375 = V319327. assign V720791 = V564667 - 1. assign V210718 = V616347 - 1. assign V113563 = V245966 - 1. assign V703477 = V007636 - 1. assign V757521 = V877748. assign V796297 = V535571. assign V122241 = V294406. assign V319327 = V942336 - 1. assign V886653 = V920186 + 1. assign V191508 = V201010 - 1. assign V130797 = V326797 + 1. assign V141957 = V755816 - 1. assign V475847 = V397581 + 1. assign V254333 = V000535 - 1. assign V755816 = V584062. assign V651084 = V191508 + 1. assign V377098 = V582147 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V200232 = V540586 + 1. assign V377211 = V617856 - 1. assign V326797 = V867384 + 1. assign V993336 = V877748 - 1. assign V034793 = V572118 + 1. assign V575344 = V066127. assign V860888 = V020043 - 1. assign V571501 = V683332. assign V568734 = V943109 - 1. assign V942336 = V000535. assign V924569 = V757521 + 1. assign V360673 = V535779 + 1. assign V957559 = V179469 - 1. assign V237531 = V044424 + 1. assign V049577 = V693891 + 1. assign V109055 = V584062 + 1. assign V413902 = V360673. assign V258857 = V135210 - 1. assign V959343 = V007636 - 1. assign V878888 = V798321 + 1. assign V040344 = V362203 - 1. assign V867328 = V319327 + 1. assign V245966 = V034793. assign V805103 = V463209. assign V088955 = V863791 - 1. assign V776988 = V584062 - 1. assign V000535 = V683332 - 1. assign V616347 = V201010 - 1. assign V388879 = V547451. assign V936330 = V584062. assign V510116 = V815052. assign V233427 = V825246 + 1. assign V582067 = V233427 + 1. assign V997678 = V535571. assign V605247 = V535413 + 1. assign V187007 = V757521 + 1. assign V480133 = V369390 - 1. assign V264831 = V683332 + 1. assign V795036 = V850021. assign V986521 = V936330 + 1. assign V048322 = V130797 + 1. assign V317021 = V683332. assign V385961 = V179469 - 1. assign V850021 = V572118 - 1. assign V396666 = V131203 + 1. assign V815052 = V568734 - 1. assign V228427 = V206140. assign V995626 = V943109 + 1. assign V397581 = V572118 - 1. assign V617856 = V942336 - 1. assign V102075 = V863791. assign V540586 = V920186 - 1. assign V889249 = V683332. assign V531880 = V867384 - 1. assign V867384 = V850021 + 1. assign V043074 = V683332. assign V817554 = V796297. assign V962713 = V396666 + 1. assign V493511 = V886653 - 1. assign V490476 = V245966. assign V221870 = V350111. assign V169223 = V997678 - 1. assign V994213 = V377211. assign V547451 = V264831 - 1. assign V758979 = V007636 - 1. assign V577220 = V237531 + 1. assign V003406 = V920186 + 1. assign V201010 = V000535. assign V887354 = V535413. assign V179469 = V206140 - 1. assign V181285 = V283454 - 1. assign V564667 = V362203 + 1. assign V991463 = V943109 + 1. assign V531586 = V957559 + 1. assign V799964 = V850021. assign V603690 = V317021 - 1. assign V206140 = V683332. assign V608751 = V850021 + 1. assign V228170 = V795036 + 1. assign V190792 = V326797. assign V798321 = V326797 + 1. assign V943109 = V683332 - 1. assign V670299 = V540586 - 1. assign V042832 = V889249. assign V773512 = V510116 + 1. assign V028407 = V463209 + 1. assign V369390 = V000535 + 1. assign V959540 = V943109 - 1. assign V044424 = V997678 + 1. assign V715994 = V350111. assign V693891 = V369390. assign V795719 = V000535 - 1. assign V623708 = V397581 - 1. assign V476707 = V799964 + 1. assign V650334 = V963033. assign V816293 = V476707 - 1. assign V175279 = V480133 - 1. assign V587591 = V905833 - 1. assign V877748 = V377098. assign V324427 = V319327 - 1. assign V391771 = V135210. assign V535413 = V264831. assign V318263 = V228170 - 1. assign V921159 = V376443 + 1. assign V020043 = V245966 + 1. assign V382795 = V020043. assign V084905 = 1. assign V958881 = V815052. assign V463209 = V683332 - 1. assign V920186 = V201010. assign V376443 = V942336 + 1. assign V963033 = V040344. assign V439594 = V283454. assign V355631 = V795036. assign V947872 = V867384 + 1. assign V131203 = V319327 - 1. assign V548970 = V799964 + 1. assign V345955 = V084905 + 1. assign V294406 = V572118 + 1. assign V009603 = V369390. assign V629559 = V795036 - 1. assign V715734 = V535571. assign V738755 = V651084 - 1. assign V135210 = V651084 + 1. assign V219999 = V201010 + 1. assign V066127 = V397581 - 1. assign V572118 = V683332 - 1. assign V863791 = V535413. assign V261259 = V283454 + 1. assign V362203 = V264831 - 1. assign V276344 = V670299. assign V155285 = V535413 - 1. assign V350111 = V501543 - 1. assign V283454 = V396666 + 1. assign V501543 = V000535 - 1. assign V535571 = V040344 - 1. assign V905833 = V034793. assign V584062 = V850021 - 1. assign V535779 = V102075 + 1. assign V007636 = V179469 + 1. assign V914539 = V245966 - 1. assign V082684 = V376443 + 1. assign V552962 = V878888 - 1. assign V052342 = V582147. assign V745044 = V683332 - 1. assign V825246 = V905833 - 1. assign V443161 = V369390. assign V277565 = V319327. assign V902699 = V382795. assign V666941 = V221870 + 1. assign V290792 = V867328 + 1. assign V596447 = V977375. assign V582147 = V317021. assign V237570 = V206140. assign V977375 = V319327. assign V720791 = V564667 - 1. assign V210718 = V616347 - 1. assign V113563 = V245966 - 1. assign V703477 = V007636 - 1. assign V757521 = V877748. assign V796297 = V535571. assign V122241 = V294406. assign V319327 = V942336 - 1. assign V886653 = V920186 + 1. assign V191508 = V201010 - 1. assign V130797 = V326797 + 1. assign V141957 = V755816 - 1. assign V475847 = V397581 + 1. assign V254333 = V000535 - 1. assign V755816 = V584062. assign V651084 = V191508 + 1. assign V377098 = V582147 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV084905 = 1;\n\nFrom these direct assignment(s), we have: \nV345955 = V084905 + 1 = 1 + 1 =2;\nNo other variables can be derived from V345955;\nNo other variables can be derived from V084905;\n\nNow we have done all the calculations. Derived variables are:\nV084905 = 1;\nV345955 = 2;\n\nNow we have finished this problem. ANSWER:\nV084905\n", "role": "assistant" } ]

[ "V794049" ]

[ { "content": "<context>\nassign V033119 = V524536 - 1. assign V350672 = V857080 + 1. assign V697819 = V084740 - 1. assign V732949 = V669962. assign V166223 = V373503 + 1. assign V595481 = V634601. assign V048301 = V983037. assign V399819 = V672653 - 1. assign V019500 = V227014 - 1. assign V879774 = V428500 - 1. assign V009347 = V390309. assign V227014 = V623177 - 1. assign V297078 = V533546 - 1. assign V589431 = V224586. assign V059640 = V428026 + 1. assign V533546 = V010082 + 1. assign V676809 = V595481. assign V354809 = V634601 - 1. assign V211745 = V420874. assign V659955 = V237775. assign V519523 = V586742 - 1. assign V561264 = V327248. assign V196271 = V044955. assign V586742 = V806340. assign V025181 = V879774 - 1. assign V767429 = V561264 + 1. assign V327258 = V104435. assign V302733 = V210852 - 1. assign V583204 = V228778 + 1. assign V466294 = V590735 + 1. assign V335394 = V589431 - 1. assign V999145 = V084740 + 1. assign V268188 = V115487. assign V669962 = V466839 - 1. assign V299458 = V444908. assign V390309 = V864144 - 1. assign V444908 = V037045. assign V533256 = V524536 + 1. assign V420874 = V005557 + 1. assign V037045 = V806340 + 1. assign V798904 = V983037 - 1. assign V092504 = V953801 - 1. assign V144592 = V311622 + 1. assign V613365 = V335394 + 1. assign V821136 = V471304 + 1. assign V224586 = V637548 - 1. assign V112690 = V005557 - 1. assign V814573 = V637548. assign V539058 = V697819 - 1. assign V371237 = V053659 + 1. assign V471304 = V645405. assign V651120 = V919456 - 1. assign V637548 = V524536. assign V246186 = V044955. assign V163344 = V101953. assign V645405 = V115487 - 1. assign V028754 = V544084 - 1. assign V864144 = V084740. assign V037850 = V533546 + 1. assign V169762 = V302733 - 1. assign V010082 = V227014 - 1. assign V315685 = V237775 - 1. assign V524536 = V623177 - 1. assign V540559 = V917895. assign V461616 = V210852 + 1. assign V100364 = V637548 + 1. assign V668906 = V561264 - 1. assign V625825 = V626663 + 1. assign V333954 = V166223 + 1. assign V228778 = V390309. assign V408166 = V802428 - 1. assign V857080 = V373503. assign V569661 = V010082 - 1. assign V061572 = V101953. assign V523188 = V524536 - 1. assign V965686 = V010082 + 1. assign V101953 = V428500. assign V580646 = V428026 + 1. assign V625642 = V748345 - 1. assign V428026 = V101953 + 1. assign V009141 = V264029. assign V290317 = V010082 - 1. assign V307374 = V033119 - 1. assign V473090 = V144592. assign V611029 = V169762. assign V127447 = V595905 - 1. assign V859943 = V539058. assign V372713 = V659189 + 1. assign V083756 = V864144 + 1. assign V838300 = V037045 + 1. assign V983037 = V010082 + 1. assign V089205 = V304312. assign V304312 = V033119. assign V001228 = V009347 + 1. assign V951947 = V092504 + 1. assign V609668 = V428026 + 1. assign V917895 = V210852. assign V634601 = V533256 + 1. assign V794049 = 0. assign V088101 = V794049 - 1. assign V675608 = V523188 - 1. assign V540408 = V033119. assign V355641 = V625825 - 1. assign V053659 = V748345 + 1. assign V579894 = V163344. assign V451843 = V104435 - 1. assign V045196 = V659189 + 1. assign V781143 = V169762 + 1. assign V237775 = V084740. assign V253550 = V246186 - 1. assign V466839 = V561264 + 1. assign V590735 = V623177 - 1. assign V607377 = V983037. assign V754272 = V802428 + 1. assign V301167 = V965686 + 1. assign V437375 = V634601 - 1. assign V111412 = V210852 - 1. assign V044955 = V373503 + 1. assign V464589 = V210852 - 1. assign V342157 = V668906. assign V210852 = V084740 - 1. assign V806340 = V524536 + 1. assign V626663 = V264029 - 1. assign V104435 = V019500 + 1. assign V815891 = V540408. assign V506006 = V995947 - 1. assign V995947 = V335394 - 1. assign V232924 = V361302. assign V676743 = V544084 - 1. assign V802428 = V166223 - 1. assign V327248 = V634601 - 1. assign V084740 = V623177. assign V586326 = V864144 + 1. assign V448105 = V802428 + 1. assign V264029 = V637548. assign V595905 = V595481 - 1. assign V672653 = V879774 - 1. assign V585399 = V302733 + 1. assign V843214 = V502713. assign V361302 = V879774 + 1. assign V141321 = V048301 + 1. assign V579332 = V864144 - 1. assign V373503 = V210852 + 1. assign V813509 = V100364 - 1. assign V248726 = V533256. assign V428500 = V210852 - 1. assign V848958 = V539058. assign V748345 = V637548 - 1. assign V659189 = V953801. assign V919456 = V315685 + 1. assign V421498 = V428500. assign V855768 = V625825. assign V704889 = V626663. assign V798506 = V595481 - 1. assign V838567 = V246186. assign V797652 = V917895. assign V005557 = V084740 + 1. assign V100699 = V965686 + 1. assign V544084 = V561264 + 1. assign V115487 = V623177. assign V097759 = V595481. assign V249002 = V373503 + 1. assign V965363 = V061572 + 1. assign V311622 = V112690. assign V273021 = V586742 + 1. assign V926509 = V211745 - 1. assign V761566 = V428500. assign V502713 = V333954 - 1. assign V489083 = V798904 - 1. assign V759187 = V268188. assign V953801 = V523188 + 1. assign V839035 = V333954 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V033119 = V524536 - 1. assign V350672 = V857080 + 1. assign V697819 = V084740 - 1. assign V732949 = V669962. assign V166223 = V373503 + 1. assign V595481 = V634601. assign V048301 = V983037. assign V399819 = V672653 - 1. assign V019500 = V227014 - 1. assign V879774 = V428500 - 1. assign V009347 = V390309. assign V227014 = V623177 - 1. assign V297078 = V533546 - 1. assign V589431 = V224586. assign V059640 = V428026 + 1. assign V533546 = V010082 + 1. assign V676809 = V595481. assign V354809 = V634601 - 1. assign V211745 = V420874. assign V659955 = V237775. assign V519523 = V586742 - 1. assign V561264 = V327248. assign V196271 = V044955. assign V586742 = V806340. assign V025181 = V879774 - 1. assign V767429 = V561264 + 1. assign V327258 = V104435. assign V302733 = V210852 - 1. assign V583204 = V228778 + 1. assign V466294 = V590735 + 1. assign V335394 = V589431 - 1. assign V999145 = V084740 + 1. assign V268188 = V115487. assign V669962 = V466839 - 1. assign V299458 = V444908. assign V390309 = V864144 - 1. assign V444908 = V037045. assign V533256 = V524536 + 1. assign V420874 = V005557 + 1. assign V037045 = V806340 + 1. assign V798904 = V983037 - 1. assign V092504 = V953801 - 1. assign V144592 = V311622 + 1. assign V613365 = V335394 + 1. assign V821136 = V471304 + 1. assign V224586 = V637548 - 1. assign V112690 = V005557 - 1. assign V814573 = V637548. assign V539058 = V697819 - 1. assign V371237 = V053659 + 1. assign V471304 = V645405. assign V651120 = V919456 - 1. assign V637548 = V524536. assign V246186 = V044955. assign V163344 = V101953. assign V645405 = V115487 - 1. assign V028754 = V544084 - 1. assign V864144 = V084740. assign V037850 = V533546 + 1. assign V169762 = V302733 - 1. assign V010082 = V227014 - 1. assign V315685 = V237775 - 1. assign V524536 = V623177 - 1. assign V540559 = V917895. assign V461616 = V210852 + 1. assign V100364 = V637548 + 1. assign V668906 = V561264 - 1. assign V625825 = V626663 + 1. assign V333954 = V166223 + 1. assign V228778 = V390309. assign V408166 = V802428 - 1. assign V857080 = V373503. assign V569661 = V010082 - 1. assign V061572 = V101953. assign V523188 = V524536 - 1. assign V965686 = V010082 + 1. assign V101953 = V428500. assign V580646 = V428026 + 1. assign V625642 = V748345 - 1. assign V428026 = V101953 + 1. assign V009141 = V264029. assign V290317 = V010082 - 1. assign V307374 = V033119 - 1. assign V473090 = V144592. assign V611029 = V169762. assign V127447 = V595905 - 1. assign V859943 = V539058. assign V372713 = V659189 + 1. assign V083756 = V864144 + 1. assign V838300 = V037045 + 1. assign V983037 = V010082 + 1. assign V089205 = V304312. assign V304312 = V033119. assign V001228 = V009347 + 1. assign V951947 = V092504 + 1. assign V609668 = V428026 + 1. assign V917895 = V210852. assign V634601 = V533256 + 1. assign V794049 = 0. assign V088101 = V794049 - 1. assign V675608 = V523188 - 1. assign V540408 = V033119. assign V355641 = V625825 - 1. assign V053659 = V748345 + 1. assign V579894 = V163344. assign V451843 = V104435 - 1. assign V045196 = V659189 + 1. assign V781143 = V169762 + 1. assign V237775 = V084740. assign V253550 = V246186 - 1. assign V466839 = V561264 + 1. assign V590735 = V623177 - 1. assign V607377 = V983037. assign V754272 = V802428 + 1. assign V301167 = V965686 + 1. assign V437375 = V634601 - 1. assign V111412 = V210852 - 1. assign V044955 = V373503 + 1. assign V464589 = V210852 - 1. assign V342157 = V668906. assign V210852 = V084740 - 1. assign V806340 = V524536 + 1. assign V626663 = V264029 - 1. assign V104435 = V019500 + 1. assign V815891 = V540408. assign V506006 = V995947 - 1. assign V995947 = V335394 - 1. assign V232924 = V361302. assign V676743 = V544084 - 1. assign V802428 = V166223 - 1. assign V327248 = V634601 - 1. assign V084740 = V623177. assign V586326 = V864144 + 1. assign V448105 = V802428 + 1. assign V264029 = V637548. assign V595905 = V595481 - 1. assign V672653 = V879774 - 1. assign V585399 = V302733 + 1. assign V843214 = V502713. assign V361302 = V879774 + 1. assign V141321 = V048301 + 1. assign V579332 = V864144 - 1. assign V373503 = V210852 + 1. assign V813509 = V100364 - 1. assign V248726 = V533256. assign V428500 = V210852 - 1. assign V848958 = V539058. assign V748345 = V637548 - 1. assign V659189 = V953801. assign V919456 = V315685 + 1. assign V421498 = V428500. assign V855768 = V625825. assign V704889 = V626663. assign V798506 = V595481 - 1. assign V838567 = V246186. assign V797652 = V917895. assign V005557 = V084740 + 1. assign V100699 = V965686 + 1. assign V544084 = V561264 + 1. assign V115487 = V623177. assign V097759 = V595481. assign V249002 = V373503 + 1. assign V965363 = V061572 + 1. assign V311622 = V112690. assign V273021 = V586742 + 1. assign V926509 = V211745 - 1. assign V761566 = V428500. assign V502713 = V333954 - 1. assign V489083 = V798904 - 1. assign V759187 = V268188. assign V953801 = V523188 + 1. assign V839035 = V333954 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV794049 = 0;\n\nFrom these direct assignment(s), we have: \nV088101 = V794049 - 1 = 0 - 1 =-1;\nNo other variables can be derived from V088101;\nNo other variables can be derived from V794049;\n\nNow we have done all the calculations. Derived variables are:\nV794049 = 0;\nV088101 = -1;\n\nNow we have finished this problem. ANSWER:\nV794049\n", "role": "assistant" } ]

[ "V211216", "V108568" ]

[ { "content": "<context>\nassign V781240 = V120574 + 1. assign V144092 = V441719. assign V108568 = V211216. assign V088114 = V801158. assign V131098 = V719084 - 1. assign V724439 = V823139 - 1. assign V856995 = V125375. assign V385020 = V850229 - 1. assign V210234 = V507015. assign V972376 = V823139. assign V162155 = V973495 - 1. assign V192241 = V949414 + 1. assign V211216 = 6. assign V989127 = V801158 + 1. assign V781002 = V745346 - 1. assign V716294 = V128320 - 1. assign V045785 = V839155 + 1. assign V961103 = V801158 - 1. assign V839721 = V983733. assign V368665 = V459731. assign V358998 = V385020. assign V406049 = V624461 + 1. assign V930485 = V385020 + 1. assign V806822 = V144092 + 1. assign V790026 = V059412 - 1. assign V228558 = V428740 + 1. assign V051648 = V632096 - 1. assign V584636 = V850229. assign V185519 = V668140 - 1. assign V264378 = V097533 + 1. assign V842591 = V214963. assign V050249 = V940890 + 1. assign V866222 = V440063 + 1. assign V313771 = V475218 + 1. assign V973495 = V434219. assign V507015 = V844789 + 1. assign V800548 = V590739. assign V645070 = V800548 - 1. assign V440063 = V806822. assign V803541 = V989127 + 1. assign V949414 = V580506 - 1. assign V428740 = V719084 + 1. assign V537765 = V790026 - 1. assign V375408 = V580506 - 1. assign V850229 = V059412 + 1. assign V120574 = V128320 - 1. assign V599932 = V409517 + 1. assign V995743 = V983733 - 1. assign V539252 = V698801. assign V557155 = V434219 - 1. assign V422669 = V580506 - 1. assign V252629 = V745346. assign V428765 = V406342 + 1. assign V538517 = V406342 - 1. assign V968728 = V475218. assign V904188 = V428765 - 1. assign V863998 = V704466 + 1. assign V844789 = V704466 + 1. assign V214963 = V441719 - 1. assign V940890 = V704466. assign V738400 = V904188 + 1. assign V339577 = V406049. assign V544413 = V535597. assign V199527 = V857250 + 1. assign V857976 = V904188 + 1. assign V745346 = V800548 + 1. assign V952800 = V738400 - 1. assign V434219 = V406342. assign V943442 = V059412. assign V627301 = V839155 - 1. assign V875286 = V647491 - 1. assign V606251 = V735989 + 1. assign V125375 = V059412 - 1. assign V304464 = V428740. assign V773254 = V321994 - 1. assign V757088 = V412984 - 1. assign V404454 = V953877 + 1. assign V668140 = V839155 + 1. assign V248703 = V584636 + 1. assign V632096 = V738400 - 1. assign V839155 = V324571. assign V254510 = V801158. assign V123065 = V716294 + 1. assign V059412 = V441719 + 1. assign V647491 = V711941 - 1. assign V624461 = V428765. assign V741984 = V535597. assign V204751 = V428765 + 1. assign V893447 = V704466 - 1. assign V419218 = V128320 - 1. assign V107499 = V715904 - 1. assign V460594 = V214963 + 1. assign V874213 = V535597 + 1. assign V092346 = V406342 + 1. assign V390960 = V698801 - 1. assign V844110 = V704466 - 1. assign V816782 = V953877 - 1. assign V562028 = V716294. assign V289401 = V339577 - 1. assign V407387 = V199527 - 1. assign V766414 = V406342 - 1. assign V019229 = V248624 + 1. assign V535597 = V893447. assign V459731 = V949414 - 1. assign V661653 = V051964. assign V233347 = V766414 + 1. assign V735989 = V434219 + 1. assign V470284 = V183335. assign V372688 = V406342. assign V368345 = V358407 + 1. assign V287899 = V771576 + 1. assign V324571 = V059412 - 1. assign V376805 = V535597 + 1. assign V654912 = V806822 + 1. assign V711941 = V790026 + 1. assign V719084 = V460594 + 1. assign V749086 = V313771. assign V198391 = V125375 + 1. assign V128320 = V538517 + 1. assign V864217 = V214963. assign V778481 = V162155. assign V833701 = V554626 - 1. assign V443923 = V183335 - 1. assign V409517 = V904188 + 1. assign V823139 = V863998 - 1. assign V781863 = V088114. assign V130301 = V428740 + 1. assign V752009 = V719084. assign V174982 = V801158 - 1. assign V321994 = V844789. assign V412984 = V983733. assign V771576 = V654912 + 1. assign V704466 = V144092 - 1. assign V562132 = V390960. assign V475218 = V544413. assign V141975 = V557155. assign V389297 = V983733. assign V715904 = V943442 + 1. assign V713886 = V781863. assign V143756 = V538517 + 1. assign V097533 = V385020 + 1. assign V131168 = V441719 + 1. assign V698801 = V544413. assign V463930 = V214963. assign V358407 = V406342 + 1. assign V264479 = V404454 + 1. assign V938124 = V704466. assign V441719 = V406342 - 1. assign V470649 = V372688. assign V070213 = V492223 - 1. assign V590739 = V507015 - 1. assign V431032 = V358407 - 1. assign V409041 = V735989. assign V983733 = V801158. assign V248624 = V972376 + 1. assign V580506 = V893447. assign V747950 = V973495 - 1. assign V953877 = V844789 - 1. assign V801158 = V406342. assign V554626 = V654912 + 1. assign V108238 = V943442 - 1. assign V251295 = V051964 + 1. assign V407469 = V938124. assign V330057 = V661653. assign V857250 = V144092. assign V183335 = V358407 - 1. assign V990631 = V097533 - 1. assign V492223 = V801158 - 1. assign V599710 = V599932 - 1. assign V092667 = V198391. assign V051964 = V863998 + 1. assign V892767 = V045785 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V781240 = V120574 + 1. assign V144092 = V441719. assign V108568 = V211216. assign V088114 = V801158. assign V131098 = V719084 - 1. assign V724439 = V823139 - 1. assign V856995 = V125375. assign V385020 = V850229 - 1. assign V210234 = V507015. assign V972376 = V823139. assign V162155 = V973495 - 1. assign V192241 = V949414 + 1. assign V211216 = 6. assign V989127 = V801158 + 1. assign V781002 = V745346 - 1. assign V716294 = V128320 - 1. assign V045785 = V839155 + 1. assign V961103 = V801158 - 1. assign V839721 = V983733. assign V368665 = V459731. assign V358998 = V385020. assign V406049 = V624461 + 1. assign V930485 = V385020 + 1. assign V806822 = V144092 + 1. assign V790026 = V059412 - 1. assign V228558 = V428740 + 1. assign V051648 = V632096 - 1. assign V584636 = V850229. assign V185519 = V668140 - 1. assign V264378 = V097533 + 1. assign V842591 = V214963. assign V050249 = V940890 + 1. assign V866222 = V440063 + 1. assign V313771 = V475218 + 1. assign V973495 = V434219. assign V507015 = V844789 + 1. assign V800548 = V590739. assign V645070 = V800548 - 1. assign V440063 = V806822. assign V803541 = V989127 + 1. assign V949414 = V580506 - 1. assign V428740 = V719084 + 1. assign V537765 = V790026 - 1. assign V375408 = V580506 - 1. assign V850229 = V059412 + 1. assign V120574 = V128320 - 1. assign V599932 = V409517 + 1. assign V995743 = V983733 - 1. assign V539252 = V698801. assign V557155 = V434219 - 1. assign V422669 = V580506 - 1. assign V252629 = V745346. assign V428765 = V406342 + 1. assign V538517 = V406342 - 1. assign V968728 = V475218. assign V904188 = V428765 - 1. assign V863998 = V704466 + 1. assign V844789 = V704466 + 1. assign V214963 = V441719 - 1. assign V940890 = V704466. assign V738400 = V904188 + 1. assign V339577 = V406049. assign V544413 = V535597. assign V199527 = V857250 + 1. assign V857976 = V904188 + 1. assign V745346 = V800548 + 1. assign V952800 = V738400 - 1. assign V434219 = V406342. assign V943442 = V059412. assign V627301 = V839155 - 1. assign V875286 = V647491 - 1. assign V606251 = V735989 + 1. assign V125375 = V059412 - 1. assign V304464 = V428740. assign V773254 = V321994 - 1. assign V757088 = V412984 - 1. assign V404454 = V953877 + 1. assign V668140 = V839155 + 1. assign V248703 = V584636 + 1. assign V632096 = V738400 - 1. assign V839155 = V324571. assign V254510 = V801158. assign V123065 = V716294 + 1. assign V059412 = V441719 + 1. assign V647491 = V711941 - 1. assign V624461 = V428765. assign V741984 = V535597. assign V204751 = V428765 + 1. assign V893447 = V704466 - 1. assign V419218 = V128320 - 1. assign V107499 = V715904 - 1. assign V460594 = V214963 + 1. assign V874213 = V535597 + 1. assign V092346 = V406342 + 1. assign V390960 = V698801 - 1. assign V844110 = V704466 - 1. assign V816782 = V953877 - 1. assign V562028 = V716294. assign V289401 = V339577 - 1. assign V407387 = V199527 - 1. assign V766414 = V406342 - 1. assign V019229 = V248624 + 1. assign V535597 = V893447. assign V459731 = V949414 - 1. assign V661653 = V051964. assign V233347 = V766414 + 1. assign V735989 = V434219 + 1. assign V470284 = V183335. assign V372688 = V406342. assign V368345 = V358407 + 1. assign V287899 = V771576 + 1. assign V324571 = V059412 - 1. assign V376805 = V535597 + 1. assign V654912 = V806822 + 1. assign V711941 = V790026 + 1. assign V719084 = V460594 + 1. assign V749086 = V313771. assign V198391 = V125375 + 1. assign V128320 = V538517 + 1. assign V864217 = V214963. assign V778481 = V162155. assign V833701 = V554626 - 1. assign V443923 = V183335 - 1. assign V409517 = V904188 + 1. assign V823139 = V863998 - 1. assign V781863 = V088114. assign V130301 = V428740 + 1. assign V752009 = V719084. assign V174982 = V801158 - 1. assign V321994 = V844789. assign V412984 = V983733. assign V771576 = V654912 + 1. assign V704466 = V144092 - 1. assign V562132 = V390960. assign V475218 = V544413. assign V141975 = V557155. assign V389297 = V983733. assign V715904 = V943442 + 1. assign V713886 = V781863. assign V143756 = V538517 + 1. assign V097533 = V385020 + 1. assign V131168 = V441719 + 1. assign V698801 = V544413. assign V463930 = V214963. assign V358407 = V406342 + 1. assign V264479 = V404454 + 1. assign V938124 = V704466. assign V441719 = V406342 - 1. assign V470649 = V372688. assign V070213 = V492223 - 1. assign V590739 = V507015 - 1. assign V431032 = V358407 - 1. assign V409041 = V735989. assign V983733 = V801158. assign V248624 = V972376 + 1. assign V580506 = V893447. assign V747950 = V973495 - 1. assign V953877 = V844789 - 1. assign V801158 = V406342. assign V554626 = V654912 + 1. assign V108238 = V943442 - 1. assign V251295 = V051964 + 1. assign V407469 = V938124. assign V330057 = V661653. assign V857250 = V144092. assign V183335 = V358407 - 1. assign V990631 = V097533 - 1. assign V492223 = V801158 - 1. assign V599710 = V599932 - 1. assign V092667 = V198391. assign V051964 = V863998 + 1. assign V892767 = V045785 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV211216 = 6;\n\nFrom these direct assignment(s), we have: \nV108568 = V211216 = 6;\nNo other variables can be derived from V108568;\nNo other variables can be derived from V211216;\n\nNow we have done all the calculations. Derived variables are:\nV211216 = 6;\nV108568 = 6;\n\nNow we have finished this problem. ANSWER:\nV211216, V108568\n", "role": "assistant" } ]

[ "V393398", "V615632" ]

[ { "content": "<context>\nassign V004587 = V398764. assign V154003 = V395762 - 1. assign V285201 = V459438. assign V570032 = V417129 + 1. assign V043350 = V123222 - 1. assign V646570 = V821590 - 1. assign V417129 = V039766 - 1. assign V258077 = V896840 - 1. assign V861600 = V043434 - 1. assign V748460 = V701411 + 1. assign V551704 = V572217 - 1. assign V391280 = V737241 + 1. assign V398764 = V123222 - 1. assign V896840 = V394299 - 1. assign V897752 = V314230 - 1. assign V296668 = V031000. assign V847959 = V550767. assign V311447 = V799859. assign V193698 = V550767. assign V070925 = V394299 + 1. assign V046559 = V701411. assign V856364 = V071885. assign V853656 = V070925 - 1. assign V362029 = V658597. assign V685775 = V769807 - 1. assign V410994 = V551704. assign V533734 = V932590. assign V117214 = V123222 - 1. assign V475495 = V685775 + 1. assign V159950 = V572217. assign V894306 = V159950. assign V156047 = V314230 - 1. assign V387501 = V175471 - 1. assign V787366 = V410994 + 1. assign V837186 = V013440 - 1. assign V404154 = V395762 + 1. assign V582614 = V258077. assign V133920 = V207420 + 1. assign V367303 = V117214. assign V882872 = V613216 + 1. assign V395297 = V442555 - 1. assign V745225 = V070798 - 1. assign V436987 = V114668. assign V122454 = V403031. assign V351092 = V231007 - 1. assign V993569 = V470653. assign V428863 = V314230 + 1. assign V596608 = V685775 - 1. assign V504455 = V083033. assign V821590 = V412687 + 1. assign V678646 = V407032. assign V613216 = V312650 + 1. assign V296706 = V681066 - 1. assign V237694 = V061666. assign V604291 = V139594. assign V123222 = V701411 - 1. assign V572217 = V083033 - 1. assign V010530 = V123222 - 1. assign V333056 = V509603. assign V086107 = V853656 - 1. assign V932590 = V550767 + 1. assign V015568 = V412687 + 1. assign V563802 = V522022 - 1. assign V543043 = V239731 - 1. assign V459438 = V013440 + 1. assign V791758 = V551704 - 1. assign V232841 = V648463. assign V559943 = V123222 - 1. assign V071885 = V685775 - 1. assign V020199 = V397644 + 1. assign V564208 = V117214 + 1. assign V403031 = V070925. assign V446290 = V394299. assign V001596 = V504455 + 1. assign V027835 = V837186 - 1. assign V083033 = V013440. assign V681066 = V013440. assign V178969 = V015035 + 1. assign V114668 = V051404. assign V583325 = V882872 + 1. assign V314230 = V882872 + 1. assign V826001 = V362029 - 1. assign V442555 = V446290 - 1. assign V648463 = V504455. assign V393398 = 3. assign V499466 = V398764. assign V904249 = V086107 + 1. assign V883425 = V039696 - 1. assign V793387 = V086107 + 1. assign V313088 = V295449 - 1. assign V293338 = V397644 - 1. assign V394299 = V013440. assign V129270 = V031000 + 1. assign V207420 = V159950 - 1. assign V251909 = V932590 + 1. assign V397644 = V748460. assign V139594 = V295449 - 1. assign V231007 = V258077 - 1. assign V549010 = V648463 - 1. assign V015035 = V564208 - 1. assign V445344 = V362029 + 1. assign V600887 = V086107 + 1. assign V522022 = V701411. assign V849178 = V522022 + 1. assign V615632 = V393398. assign V295449 = V123222 - 1. assign V278956 = V745225 + 1. assign V239731 = V027835 - 1. assign V784087 = V293338 - 1. assign V061666 = V769807 - 1. assign V864216 = V817924 + 1. assign V063545 = V522022 - 1. assign V817924 = V179160. assign V379807 = V013440 + 1. assign V098289 = V264034 - 1. assign V196598 = V971008 + 1. assign V053550 = V883425. assign V479737 = V039766. assign V051404 = V737241 + 1. assign V922050 = V821590 + 1. assign V204993 = V748460 - 1. assign V187153 = V799859 + 1. assign V256706 = V117214 + 1. assign V770798 = V533734. assign V798414 = V940908 - 1. assign V312650 = V159950 - 1. assign V395762 = V769807. assign V039766 = V001596 + 1. assign V031000 = V821590 - 1. assign V737241 = V504455. assign V264034 = V551704 - 1. assign V470653 = V159950 + 1. assign V878697 = V769807 - 1. assign V971008 = V637298 + 1. assign V623262 = V086107 - 1. assign V888626 = V479737 + 1. assign V940908 = V061666 + 1. assign V918516 = V341444. assign V526612 = V071885. assign V407032 = V559943. assign V701411 = V013440 - 1. assign V070798 = V046559 - 1. assign V769807 = V013440 - 1. assign V788655 = V258077 + 1. assign V773526 = V922050 + 1. assign V179160 = V312650 - 1. assign V412687 = V159950. assign V509603 = V239731 - 1. assign V314972 = V013440 + 1. assign V278071 = V837186 + 1. assign V043434 = V117214 + 1. assign V039696 = V479737 + 1. assign V341444 = V395762. assign V799859 = V572217 - 1. assign V417086 = V837186. assign V609167 = V015035 + 1. assign V507135 = V394299 - 1. assign V344278 = V264034 + 1. assign V509061 = V027835. assign V199752 = V031000 - 1. assign V852922 = V207420. assign V550767 = V379807 - 1. assign V908609 = V459438. assign V414891 = V061666. assign V665208 = V129270. assign V202306 = V932590. assign V723744 = V932590 + 1. assign V658597 = V394299 + 1. assign V563280 = V179160 + 1. assign V175471 = V878697 + 1. assign V637298 = V083033 + 1. assign V485608 = V004587 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V004587 = V398764. assign V154003 = V395762 - 1. assign V285201 = V459438. assign V570032 = V417129 + 1. assign V043350 = V123222 - 1. assign V646570 = V821590 - 1. assign V417129 = V039766 - 1. assign V258077 = V896840 - 1. assign V861600 = V043434 - 1. assign V748460 = V701411 + 1. assign V551704 = V572217 - 1. assign V391280 = V737241 + 1. assign V398764 = V123222 - 1. assign V896840 = V394299 - 1. assign V897752 = V314230 - 1. assign V296668 = V031000. assign V847959 = V550767. assign V311447 = V799859. assign V193698 = V550767. assign V070925 = V394299 + 1. assign V046559 = V701411. assign V856364 = V071885. assign V853656 = V070925 - 1. assign V362029 = V658597. assign V685775 = V769807 - 1. assign V410994 = V551704. assign V533734 = V932590. assign V117214 = V123222 - 1. assign V475495 = V685775 + 1. assign V159950 = V572217. assign V894306 = V159950. assign V156047 = V314230 - 1. assign V387501 = V175471 - 1. assign V787366 = V410994 + 1. assign V837186 = V013440 - 1. assign V404154 = V395762 + 1. assign V582614 = V258077. assign V133920 = V207420 + 1. assign V367303 = V117214. assign V882872 = V613216 + 1. assign V395297 = V442555 - 1. assign V745225 = V070798 - 1. assign V436987 = V114668. assign V122454 = V403031. assign V351092 = V231007 - 1. assign V993569 = V470653. assign V428863 = V314230 + 1. assign V596608 = V685775 - 1. assign V504455 = V083033. assign V821590 = V412687 + 1. assign V678646 = V407032. assign V613216 = V312650 + 1. assign V296706 = V681066 - 1. assign V237694 = V061666. assign V604291 = V139594. assign V123222 = V701411 - 1. assign V572217 = V083033 - 1. assign V010530 = V123222 - 1. assign V333056 = V509603. assign V086107 = V853656 - 1. assign V932590 = V550767 + 1. assign V015568 = V412687 + 1. assign V563802 = V522022 - 1. assign V543043 = V239731 - 1. assign V459438 = V013440 + 1. assign V791758 = V551704 - 1. assign V232841 = V648463. assign V559943 = V123222 - 1. assign V071885 = V685775 - 1. assign V020199 = V397644 + 1. assign V564208 = V117214 + 1. assign V403031 = V070925. assign V446290 = V394299. assign V001596 = V504455 + 1. assign V027835 = V837186 - 1. assign V083033 = V013440. assign V681066 = V013440. assign V178969 = V015035 + 1. assign V114668 = V051404. assign V583325 = V882872 + 1. assign V314230 = V882872 + 1. assign V826001 = V362029 - 1. assign V442555 = V446290 - 1. assign V648463 = V504455. assign V393398 = 3. assign V499466 = V398764. assign V904249 = V086107 + 1. assign V883425 = V039696 - 1. assign V793387 = V086107 + 1. assign V313088 = V295449 - 1. assign V293338 = V397644 - 1. assign V394299 = V013440. assign V129270 = V031000 + 1. assign V207420 = V159950 - 1. assign V251909 = V932590 + 1. assign V397644 = V748460. assign V139594 = V295449 - 1. assign V231007 = V258077 - 1. assign V549010 = V648463 - 1. assign V015035 = V564208 - 1. assign V445344 = V362029 + 1. assign V600887 = V086107 + 1. assign V522022 = V701411. assign V849178 = V522022 + 1. assign V615632 = V393398. assign V295449 = V123222 - 1. assign V278956 = V745225 + 1. assign V239731 = V027835 - 1. assign V784087 = V293338 - 1. assign V061666 = V769807 - 1. assign V864216 = V817924 + 1. assign V063545 = V522022 - 1. assign V817924 = V179160. assign V379807 = V013440 + 1. assign V098289 = V264034 - 1. assign V196598 = V971008 + 1. assign V053550 = V883425. assign V479737 = V039766. assign V051404 = V737241 + 1. assign V922050 = V821590 + 1. assign V204993 = V748460 - 1. assign V187153 = V799859 + 1. assign V256706 = V117214 + 1. assign V770798 = V533734. assign V798414 = V940908 - 1. assign V312650 = V159950 - 1. assign V395762 = V769807. assign V039766 = V001596 + 1. assign V031000 = V821590 - 1. assign V737241 = V504455. assign V264034 = V551704 - 1. assign V470653 = V159950 + 1. assign V878697 = V769807 - 1. assign V971008 = V637298 + 1. assign V623262 = V086107 - 1. assign V888626 = V479737 + 1. assign V940908 = V061666 + 1. assign V918516 = V341444. assign V526612 = V071885. assign V407032 = V559943. assign V701411 = V013440 - 1. assign V070798 = V046559 - 1. assign V769807 = V013440 - 1. assign V788655 = V258077 + 1. assign V773526 = V922050 + 1. assign V179160 = V312650 - 1. assign V412687 = V159950. assign V509603 = V239731 - 1. assign V314972 = V013440 + 1. assign V278071 = V837186 + 1. assign V043434 = V117214 + 1. assign V039696 = V479737 + 1. assign V341444 = V395762. assign V799859 = V572217 - 1. assign V417086 = V837186. assign V609167 = V015035 + 1. assign V507135 = V394299 - 1. assign V344278 = V264034 + 1. assign V509061 = V027835. assign V199752 = V031000 - 1. assign V852922 = V207420. assign V550767 = V379807 - 1. assign V908609 = V459438. assign V414891 = V061666. assign V665208 = V129270. assign V202306 = V932590. assign V723744 = V932590 + 1. assign V658597 = V394299 + 1. assign V563280 = V179160 + 1. assign V175471 = V878697 + 1. assign V637298 = V083033 + 1. assign V485608 = V004587 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV393398 = 3;\n\nFrom these direct assignment(s), we have: \nV615632 = V393398 = 3;\nNo other variables can be derived from V615632;\nNo other variables can be derived from V393398;\n\nNow we have done all the calculations. Derived variables are:\nV393398 = 3;\nV615632 = 3;\n\nNow we have finished this problem. ANSWER:\nV393398, V615632\n", "role": "assistant" } ]

[ "V649353" ]

[ { "content": "<context>\nassign V786542 = V796914 - 1. assign V881326 = V043051. assign V050436 = V053440 - 1. assign V532812 = V268354. assign V308535 = V112374 + 1. assign V007484 = V590698 - 1. assign V011335 = V749046. assign V749046 = V739166 - 1. assign V250949 = V572226. assign V686009 = V499217 - 1. assign V958913 = V757673 + 1. assign V695321 = V419529 + 1. assign V914445 = V739166 + 1. assign V494406 = V250949 + 1. assign V904055 = V663019 - 1. assign V761141 = V448758 + 1. assign V441400 = V348173. assign V419529 = V188229 + 1. assign V287062 = V914445 + 1. assign V441973 = V927060. assign V540896 = V301418. assign V796192 = V420784. assign V651315 = V732046 + 1. assign V148853 = V846664 - 1. assign V548280 = V448758 - 1. assign V329659 = V695420 - 1. assign V793656 = V084791 + 1. assign V572226 = V399904. assign V673342 = V188229 + 1. assign V519718 = V480140 + 1. assign V187752 = V796914. assign V203439 = V752748. assign V346864 = V598558 - 1. assign V745579 = V346864 + 1. assign V141856 = V996070 - 1. assign V195329 = V348173 - 1. assign V590698 = V493786 - 1. assign V472953 = V676081. assign V101814 = V053440 - 1. assign V365663 = V318951. assign V480140 = V695420 + 1. assign V030180 = V237263 + 1. assign V944833 = V854856. assign V133653 = V053440 - 1. assign V448758 = V112374. assign V493786 = V329659 + 1. assign V757673 = V133740. assign V953248 = V207463. assign V996070 = V953248 + 1. assign V726149 = V329659 + 1. assign V747047 = V649353 + 1. assign V391561 = V881326. assign V237263 = V301418. assign V903194 = V207463 - 1. assign V799047 = V448758. assign V393786 = V597680 - 1. assign V209605 = V399904 + 1. assign V676081 = V348173 + 1. assign V813502 = V348173 + 1. assign V591471 = V304353 - 1. assign V499217 = V043051. assign V147536 = V676081. assign V409146 = V996070 - 1. assign V597714 = V039306 - 1. assign V957128 = V610281 - 1. assign V596797 = V053440 + 1. assign V589122 = V758683 - 1. assign V048458 = V329659. assign V597680 = V749046 + 1. assign V420758 = V329659 + 1. assign V259627 = V438060 + 1. assign V751220 = V920210 + 1. assign V695420 = V318951 + 1. assign V423138 = V148853 - 1. assign V466588 = V441400. assign V043051 = V419529. assign V302952 = V617817 - 1. assign V927060 = V796914 - 1. assign V150505 = V318951 + 1. assign V541489 = V207463. assign V625776 = V147536 + 1. assign V002629 = V150505. assign V828882 = V786542 + 1. assign V399904 = V652532 + 1. assign V420784 = V048458. assign V160530 = V230501. assign V566124 = V617817 + 1. assign V371728 = V944833 - 1. assign V268354 = V775326 - 1. assign V758683 = V695420 + 1. assign V318951 = V348173 + 1. assign V737980 = V695420. assign V598558 = V329659. assign V892828 = V147536 + 1. assign V320301 = V420784 - 1. assign V739166 = V676081 + 1. assign V414124 = V301418. assign V155953 = V302952 - 1. assign V728058 = V610281 - 1. assign V846664 = V737980 - 1. assign V752748 = V329659 + 1. assign V854856 = V695420 - 1. assign V452181 = V519718 + 1. assign V524500 = V048458 - 1. assign V207463 = V695420 + 1. assign V610281 = V752748 - 1. assign V230501 = V892828. assign V929875 = V532812 + 1. assign V964631 = V652532. assign V039306 = V304353 - 1. assign V959459 = V548280 + 1. assign V178668 = V572226. assign V956567 = V419529 - 1. assign V414371 = V112374 - 1. assign V438060 = V903194. assign V649353 = 3. assign V296055 = V438060 - 1. assign V117213 = V854856. assign V026538 = V419529. assign V528424 = V472953 + 1. assign V493218 = V559817 - 1. assign V885669 = V160530. assign V675550 = V012154 - 1. assign V672519 = V150505 + 1. assign V217502 = V752748 - 1. assign V127764 = V127074 + 1. assign V023630 = V996070 - 1. assign V053440 = V148853. assign V611625 = V908226 - 1. assign V084791 = V053440 + 1. assign V875366 = V438060 - 1. assign V399879 = V246806. assign V559817 = V318951. assign V617817 = V348173. assign V388984 = V757673 + 1. assign V576337 = V320301 - 1. assign V304353 = V448758. assign V854772 = V148853 - 1. assign V755525 = V188229 + 1. assign V127074 = V493786. assign V663019 = V246806. assign V605957 = V953248. assign V742724 = V974232 + 1. assign V476616 = V617817 + 1. assign V180429 = V610281. assign V745504 = V875366 - 1. assign V652532 = V908226 - 1. assign V726645 = V230501. assign V469715 = V903194 + 1. assign V908226 = V318951 + 1. assign V796914 = V903194 + 1. assign V873193 = V540896 - 1. assign V195300 = V230501 - 1. assign V115854 = V739166 + 1. assign V920210 = V187752. assign V775326 = V610281 + 1. assign V870265 = V732046 + 1. assign V685354 = V786542 - 1. assign V188229 = V695420 - 1. assign V133740 = V796914 + 1. assign V443250 = V466588. assign V420016 = V663019. assign V380658 = V348173 - 1. assign V246806 = V048458 + 1. assign V815392 = V758683 + 1. assign V112374 = V348173 - 1. assign V174626 = V480140. assign V974232 = V598558. assign V105872 = V399904 - 1. assign V732046 = V996070 + 1. assign V012154 = V652532 - 1. assign V301418 = V318951 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V786542 = V796914 - 1. assign V881326 = V043051. assign V050436 = V053440 - 1. assign V532812 = V268354. assign V308535 = V112374 + 1. assign V007484 = V590698 - 1. assign V011335 = V749046. assign V749046 = V739166 - 1. assign V250949 = V572226. assign V686009 = V499217 - 1. assign V958913 = V757673 + 1. assign V695321 = V419529 + 1. assign V914445 = V739166 + 1. assign V494406 = V250949 + 1. assign V904055 = V663019 - 1. assign V761141 = V448758 + 1. assign V441400 = V348173. assign V419529 = V188229 + 1. assign V287062 = V914445 + 1. assign V441973 = V927060. assign V540896 = V301418. assign V796192 = V420784. assign V651315 = V732046 + 1. assign V148853 = V846664 - 1. assign V548280 = V448758 - 1. assign V329659 = V695420 - 1. assign V793656 = V084791 + 1. assign V572226 = V399904. assign V673342 = V188229 + 1. assign V519718 = V480140 + 1. assign V187752 = V796914. assign V203439 = V752748. assign V346864 = V598558 - 1. assign V745579 = V346864 + 1. assign V141856 = V996070 - 1. assign V195329 = V348173 - 1. assign V590698 = V493786 - 1. assign V472953 = V676081. assign V101814 = V053440 - 1. assign V365663 = V318951. assign V480140 = V695420 + 1. assign V030180 = V237263 + 1. assign V944833 = V854856. assign V133653 = V053440 - 1. assign V448758 = V112374. assign V493786 = V329659 + 1. assign V757673 = V133740. assign V953248 = V207463. assign V996070 = V953248 + 1. assign V726149 = V329659 + 1. assign V747047 = V649353 + 1. assign V391561 = V881326. assign V237263 = V301418. assign V903194 = V207463 - 1. assign V799047 = V448758. assign V393786 = V597680 - 1. assign V209605 = V399904 + 1. assign V676081 = V348173 + 1. assign V813502 = V348173 + 1. assign V591471 = V304353 - 1. assign V499217 = V043051. assign V147536 = V676081. assign V409146 = V996070 - 1. assign V597714 = V039306 - 1. assign V957128 = V610281 - 1. assign V596797 = V053440 + 1. assign V589122 = V758683 - 1. assign V048458 = V329659. assign V597680 = V749046 + 1. assign V420758 = V329659 + 1. assign V259627 = V438060 + 1. assign V751220 = V920210 + 1. assign V695420 = V318951 + 1. assign V423138 = V148853 - 1. assign V466588 = V441400. assign V043051 = V419529. assign V302952 = V617817 - 1. assign V927060 = V796914 - 1. assign V150505 = V318951 + 1. assign V541489 = V207463. assign V625776 = V147536 + 1. assign V002629 = V150505. assign V828882 = V786542 + 1. assign V399904 = V652532 + 1. assign V420784 = V048458. assign V160530 = V230501. assign V566124 = V617817 + 1. assign V371728 = V944833 - 1. assign V268354 = V775326 - 1. assign V758683 = V695420 + 1. assign V318951 = V348173 + 1. assign V737980 = V695420. assign V598558 = V329659. assign V892828 = V147536 + 1. assign V320301 = V420784 - 1. assign V739166 = V676081 + 1. assign V414124 = V301418. assign V155953 = V302952 - 1. assign V728058 = V610281 - 1. assign V846664 = V737980 - 1. assign V752748 = V329659 + 1. assign V854856 = V695420 - 1. assign V452181 = V519718 + 1. assign V524500 = V048458 - 1. assign V207463 = V695420 + 1. assign V610281 = V752748 - 1. assign V230501 = V892828. assign V929875 = V532812 + 1. assign V964631 = V652532. assign V039306 = V304353 - 1. assign V959459 = V548280 + 1. assign V178668 = V572226. assign V956567 = V419529 - 1. assign V414371 = V112374 - 1. assign V438060 = V903194. assign V649353 = 3. assign V296055 = V438060 - 1. assign V117213 = V854856. assign V026538 = V419529. assign V528424 = V472953 + 1. assign V493218 = V559817 - 1. assign V885669 = V160530. assign V675550 = V012154 - 1. assign V672519 = V150505 + 1. assign V217502 = V752748 - 1. assign V127764 = V127074 + 1. assign V023630 = V996070 - 1. assign V053440 = V148853. assign V611625 = V908226 - 1. assign V084791 = V053440 + 1. assign V875366 = V438060 - 1. assign V399879 = V246806. assign V559817 = V318951. assign V617817 = V348173. assign V388984 = V757673 + 1. assign V576337 = V320301 - 1. assign V304353 = V448758. assign V854772 = V148853 - 1. assign V755525 = V188229 + 1. assign V127074 = V493786. assign V663019 = V246806. assign V605957 = V953248. assign V742724 = V974232 + 1. assign V476616 = V617817 + 1. assign V180429 = V610281. assign V745504 = V875366 - 1. assign V652532 = V908226 - 1. assign V726645 = V230501. assign V469715 = V903194 + 1. assign V908226 = V318951 + 1. assign V796914 = V903194 + 1. assign V873193 = V540896 - 1. assign V195300 = V230501 - 1. assign V115854 = V739166 + 1. assign V920210 = V187752. assign V775326 = V610281 + 1. assign V870265 = V732046 + 1. assign V685354 = V786542 - 1. assign V188229 = V695420 - 1. assign V133740 = V796914 + 1. assign V443250 = V466588. assign V420016 = V663019. assign V380658 = V348173 - 1. assign V246806 = V048458 + 1. assign V815392 = V758683 + 1. assign V112374 = V348173 - 1. assign V174626 = V480140. assign V974232 = V598558. assign V105872 = V399904 - 1. assign V732046 = V996070 + 1. assign V012154 = V652532 - 1. assign V301418 = V318951 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV649353 = 3;\n\nFrom these direct assignment(s), we have: \nV747047 = V649353 + 1 = 3 + 1 =4;\nNo other variables can be derived from V747047;\nNo other variables can be derived from V649353;\n\nNow we have done all the calculations. Derived variables are:\nV649353 = 3;\nV747047 = 4;\n\nNow we have finished this problem. ANSWER:\nV649353\n", "role": "assistant" } ]

[ "V078163", "V854652" ]

[ { "content": "<context>\nassign V653986 = V456048 + 1. assign V253863 = V910609 - 1. assign V720443 = V417059. assign V774844 = V310015 - 1. assign V584180 = V102990. assign V043172 = V994120 + 1. assign V320376 = V035877 + 1. assign V858764 = V449914. assign V980865 = V441228 - 1. assign V988484 = V587454 - 1. assign V932686 = V168414 - 1. assign V257883 = V959494. assign V488868 = V994120 - 1. assign V644432 = V291084 - 1. assign V265416 = V629592 + 1. assign V270990 = V766028 + 1. assign V051297 = V922460 - 1. assign V322392 = V629592 - 1. assign V629592 = V737832 - 1. assign V677113 = V048826. assign V692665 = V488868. assign V702546 = V449914. assign V060184 = V441228 + 1. assign V893090 = V803586. assign V217451 = V449914 - 1. assign V348158 = V357152 + 1. assign V167704 = V893090 - 1. assign V569682 = V266267 - 1. assign V829169 = V155334 - 1. assign V823977 = V799382. assign V578385 = V488868 + 1. assign V488984 = V329666 - 1. assign V145406 = V102990 + 1. assign V596956 = V737832 - 1. assign V160385 = V679150. assign V418544 = V629592. assign V484129 = V737832 + 1. assign V377791 = V584180. assign V438486 = V679150 - 1. assign V048826 = V253393. assign V434047 = V291084 + 1. assign V035877 = V322392 - 1. assign V799382 = V529604 - 1. assign V002701 = V959494 + 1. assign V982246 = V569682 + 1. assign V103647 = V829169. assign V679628 = V035877 - 1. assign V544021 = V737648 + 1. assign V730927 = V233894. assign V945409 = V702546 - 1. assign V124161 = V319432 - 1. assign V792436 = V994120. assign V764257 = V893090 + 1. assign V357152 = V030728 + 1. assign V611084 = V596956 + 1. assign V813486 = V076571. assign V274605 = V629592. assign V121868 = V994120 + 1. assign V697359 = V529604 - 1. assign V088570 = V524706. assign V959494 = V168414 + 1. assign V723931 = V783553 + 1. assign V922460 = V803586. assign V179089 = V651153 - 1. assign V155334 = V549711 - 1. assign V994120 = V737832 + 1. assign V312806 = V596956 - 1. assign V910609 = V484691. assign V476331 = V994120 + 1. assign V168414 = V737832 + 1. assign V960860 = V048481. assign V162452 = V002701. assign V640292 = V217451 - 1. assign V207176 = V640292 - 1. assign V441228 = V792436. assign V117649 = V524706 + 1. assign V275425 = V764257. assign V784526 = V035877 - 1. assign V665616 = V167704 + 1. assign V297400 = V162452 - 1. assign V519522 = V232981 + 1. assign V549711 = V596956. assign V013313 = V084326 + 1. assign V151733 = V529604 - 1. assign V910772 = V084326. assign V456048 = V524706 - 1. assign V568770 = V329666 - 1. assign V615603 = V651153 - 1. assign V658089 = V123067 - 1. assign V065804 = V275425. assign V998908 = V155334. assign V728888 = V291084 + 1. assign V378988 = V217451. assign V168043 = V737832 - 1. assign V180085 = V921700 - 1. assign V234686 = V829169. assign V019111 = V544021 + 1. assign V319432 = V322392. assign V291084 = V529604 + 1. assign V846035 = V803586 + 1. assign V783553 = V829169 - 1. assign V989294 = V484691. assign V044903 = V764257. assign V001562 = V596956 - 1. assign V417059 = V549711. assign V076571 = V449914 + 1. assign V091267 = V160385 + 1. assign V017088 = V178702. assign V030728 = V076571 - 1. assign V258532 = V876394. assign V713958 = V291084 - 1. assign V529604 = V488868 + 1. assign V795594 = V813486 - 1. assign V546277 = V145406 - 1. assign V567849 = V665616 + 1. assign V604749 = V484129. assign V823173 = V456048 - 1. assign V305952 = V697359 + 1. assign V133673 = V449914. assign V774650 = V764257 - 1. assign V643225 = V378988. assign V335620 = V322392 + 1. assign V956091 = V922460. assign V232981 = V648836 - 1. assign V803586 = V524706 + 1. assign V920723 = V648836. assign V484691 = V959494 - 1. assign V651153 = V084202 + 1. assign V233894 = V549711. assign V943239 = V322392 - 1. assign V643905 = V437005. assign V854652 = V078163. assign V078163 = 5. assign V766028 = V488984 - 1. assign V287695 = V178702 - 1. assign V219284 = V160385 - 1. assign V524706 = V629592. assign V608533 = V168414 - 1. assign V253393 = V737832 + 1. assign V198478 = V658089. assign V801218 = V658089 + 1. assign V622429 = V524706 + 1. assign V876394 = V596956 - 1. assign V571826 = V829169 - 1. assign V587454 = V084202 + 1. assign V648836 = V084202 + 1. assign V746265 = V948500. assign V048481 = V044903. assign V266267 = V217451. assign V257612 = V615603 + 1. assign V948500 = V488868 + 1. assign V159419 = V784526 - 1. assign V707444 = V608533 - 1. assign V679150 = V994120. assign V329666 = V253393 + 1. assign V084202 = V329666. assign V063813 = V076571. assign V126135 = V275425 - 1. assign V178702 = V643905 + 1. assign V701174 = V476331. assign V437005 = V629592. assign V505309 = V484691 + 1. assign V676086 = V159419 - 1. assign V102990 = V084326 + 1. assign V373716 = V418544 - 1. assign V163123 = V764257 - 1. assign V921700 = V622429 - 1. assign V310015 = V584180. assign V123067 = V629592 + 1. assign V449914 = V123067 + 1. assign V084326 = V737832 - 1. assign V737648 = V441228.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V653986 = V456048 + 1. assign V253863 = V910609 - 1. assign V720443 = V417059. assign V774844 = V310015 - 1. assign V584180 = V102990. assign V043172 = V994120 + 1. assign V320376 = V035877 + 1. assign V858764 = V449914. assign V980865 = V441228 - 1. assign V988484 = V587454 - 1. assign V932686 = V168414 - 1. assign V257883 = V959494. assign V488868 = V994120 - 1. assign V644432 = V291084 - 1. assign V265416 = V629592 + 1. assign V270990 = V766028 + 1. assign V051297 = V922460 - 1. assign V322392 = V629592 - 1. assign V629592 = V737832 - 1. assign V677113 = V048826. assign V692665 = V488868. assign V702546 = V449914. assign V060184 = V441228 + 1. assign V893090 = V803586. assign V217451 = V449914 - 1. assign V348158 = V357152 + 1. assign V167704 = V893090 - 1. assign V569682 = V266267 - 1. assign V829169 = V155334 - 1. assign V823977 = V799382. assign V578385 = V488868 + 1. assign V488984 = V329666 - 1. assign V145406 = V102990 + 1. assign V596956 = V737832 - 1. assign V160385 = V679150. assign V418544 = V629592. assign V484129 = V737832 + 1. assign V377791 = V584180. assign V438486 = V679150 - 1. assign V048826 = V253393. assign V434047 = V291084 + 1. assign V035877 = V322392 - 1. assign V799382 = V529604 - 1. assign V002701 = V959494 + 1. assign V982246 = V569682 + 1. assign V103647 = V829169. assign V679628 = V035877 - 1. assign V544021 = V737648 + 1. assign V730927 = V233894. assign V945409 = V702546 - 1. assign V124161 = V319432 - 1. assign V792436 = V994120. assign V764257 = V893090 + 1. assign V357152 = V030728 + 1. assign V611084 = V596956 + 1. assign V813486 = V076571. assign V274605 = V629592. assign V121868 = V994120 + 1. assign V697359 = V529604 - 1. assign V088570 = V524706. assign V959494 = V168414 + 1. assign V723931 = V783553 + 1. assign V922460 = V803586. assign V179089 = V651153 - 1. assign V155334 = V549711 - 1. assign V994120 = V737832 + 1. assign V312806 = V596956 - 1. assign V910609 = V484691. assign V476331 = V994120 + 1. assign V168414 = V737832 + 1. assign V960860 = V048481. assign V162452 = V002701. assign V640292 = V217451 - 1. assign V207176 = V640292 - 1. assign V441228 = V792436. assign V117649 = V524706 + 1. assign V275425 = V764257. assign V784526 = V035877 - 1. assign V665616 = V167704 + 1. assign V297400 = V162452 - 1. assign V519522 = V232981 + 1. assign V549711 = V596956. assign V013313 = V084326 + 1. assign V151733 = V529604 - 1. assign V910772 = V084326. assign V456048 = V524706 - 1. assign V568770 = V329666 - 1. assign V615603 = V651153 - 1. assign V658089 = V123067 - 1. assign V065804 = V275425. assign V998908 = V155334. assign V728888 = V291084 + 1. assign V378988 = V217451. assign V168043 = V737832 - 1. assign V180085 = V921700 - 1. assign V234686 = V829169. assign V019111 = V544021 + 1. assign V319432 = V322392. assign V291084 = V529604 + 1. assign V846035 = V803586 + 1. assign V783553 = V829169 - 1. assign V989294 = V484691. assign V044903 = V764257. assign V001562 = V596956 - 1. assign V417059 = V549711. assign V076571 = V449914 + 1. assign V091267 = V160385 + 1. assign V017088 = V178702. assign V030728 = V076571 - 1. assign V258532 = V876394. assign V713958 = V291084 - 1. assign V529604 = V488868 + 1. assign V795594 = V813486 - 1. assign V546277 = V145406 - 1. assign V567849 = V665616 + 1. assign V604749 = V484129. assign V823173 = V456048 - 1. assign V305952 = V697359 + 1. assign V133673 = V449914. assign V774650 = V764257 - 1. assign V643225 = V378988. assign V335620 = V322392 + 1. assign V956091 = V922460. assign V232981 = V648836 - 1. assign V803586 = V524706 + 1. assign V920723 = V648836. assign V484691 = V959494 - 1. assign V651153 = V084202 + 1. assign V233894 = V549711. assign V943239 = V322392 - 1. assign V643905 = V437005. assign V854652 = V078163. assign V078163 = 5. assign V766028 = V488984 - 1. assign V287695 = V178702 - 1. assign V219284 = V160385 - 1. assign V524706 = V629592. assign V608533 = V168414 - 1. assign V253393 = V737832 + 1. assign V198478 = V658089. assign V801218 = V658089 + 1. assign V622429 = V524706 + 1. assign V876394 = V596956 - 1. assign V571826 = V829169 - 1. assign V587454 = V084202 + 1. assign V648836 = V084202 + 1. assign V746265 = V948500. assign V048481 = V044903. assign V266267 = V217451. assign V257612 = V615603 + 1. assign V948500 = V488868 + 1. assign V159419 = V784526 - 1. assign V707444 = V608533 - 1. assign V679150 = V994120. assign V329666 = V253393 + 1. assign V084202 = V329666. assign V063813 = V076571. assign V126135 = V275425 - 1. assign V178702 = V643905 + 1. assign V701174 = V476331. assign V437005 = V629592. assign V505309 = V484691 + 1. assign V676086 = V159419 - 1. assign V102990 = V084326 + 1. assign V373716 = V418544 - 1. assign V163123 = V764257 - 1. assign V921700 = V622429 - 1. assign V310015 = V584180. assign V123067 = V629592 + 1. assign V449914 = V123067 + 1. assign V084326 = V737832 - 1. assign V737648 = V441228.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV078163 = 5;\n\nFrom these direct assignment(s), we have: \nV854652 = V078163 = 5;\nNo other variables can be derived from V854652;\nNo other variables can be derived from V078163;\n\nNow we have done all the calculations. Derived variables are:\nV078163 = 5;\nV854652 = 5;\n\nNow we have finished this problem. ANSWER:\nV078163, V854652\n", "role": "assistant" } ]

[ "V031838" ]

[ { "content": "<context>\nassign V807908 = V977200 - 1. assign V524663 = V712101 - 1. assign V711359 = V046983. assign V150609 = V754404 + 1. assign V875580 = V031838 - 1. assign V469118 = V259135 + 1. assign V379621 = V495610 + 1. assign V368988 = V599190. assign V471866 = V470820. assign V248473 = V366046 + 1. assign V470820 = V658716. assign V108149 = V730880. assign V314706 = V040030. assign V383575 = V184851 - 1. assign V354596 = V813634 + 1. assign V366046 = V382303 + 1. assign V187952 = V968733. assign V813634 = V184851 - 1. assign V163118 = V046983 + 1. assign V503409 = V191295 + 1. assign V046983 = V184851 + 1. assign V869878 = V379621 - 1. assign V997383 = V184851 - 1. assign V911389 = V502261 - 1. assign V517719 = V663756. assign V198225 = V813634. assign V167731 = V495610. assign V184239 = V823938. assign V693226 = V068215 + 1. assign V321564 = V910115. assign V675423 = V382303 + 1. assign V612078 = V174192 - 1. assign V934781 = V889721. assign V092331 = V487953 + 1. assign V026646 = V852762 - 1. assign V444036 = V430639. assign V534316 = V855398 + 1. assign V431165 = V869855. assign V120746 = V076703 + 1. assign V663756 = V852762 + 1. assign V458708 = V813634. assign V143083 = V416927 + 1. assign V531821 = V711359. assign V420267 = V711359 - 1. assign V549468 = V184239. assign V441489 = V242729. assign V065044 = V658716 + 1. assign V376377 = V767346. assign V671811 = V220089. assign V404782 = V426673. assign V634017 = V327184 - 1. assign V275844 = V823938 - 1. assign V545556 = V977200 - 1. assign V340981 = V972748. assign V516957 = V327184 - 1. assign V704044 = V366046. assign V498083 = V846723 - 1. assign V855398 = V034627 + 1. assign V502261 = V246968 + 1. assign V228622 = V756469. assign V906922 = V711359 - 1. assign V730775 = V198225 + 1. assign V225237 = V974307 - 1. assign V040030 = V423243 - 1. assign V035369 = V823938 + 1. assign V706642 = V997383. assign V512631 = V174192 - 1. assign V733033 = V907171. assign V332159 = V337900. assign V869855 = V681269. assign V974307 = V035369. assign V416927 = V910115. assign V540448 = V076230. assign V302143 = V191295. assign V681928 = V184239 + 1. assign V712101 = V972748. assign V995721 = V420267. assign V846723 = V985340 - 1. assign V327515 = V029217. assign V157006 = V612078 + 1. assign V076703 = V046983 + 1. assign V053878 = V046983 + 1. assign V031838 = 7. assign V191295 = V337900. assign V423243 = V599190 + 1. assign V910115 = V184239 - 1. assign V380976 = V733033 + 1. assign V184851 = V599190 - 1. assign V293940 = V730880 - 1. assign V800992 = V167731 + 1. assign V968733 = V366046. assign V754404 = V676342 + 1. assign V487953 = V733033 + 1. assign V421201 = V495610. assign V174192 = V163118 - 1. assign V808996 = V024891 + 1. assign V135445 = V167731 + 1. assign V685928 = V426030 - 1. assign V245990 = V379621 + 1. assign V399391 = V534316. assign V133430 = V800992 + 1. assign V767346 = V337900 - 1. assign V658716 = V711359 - 1. assign V852762 = V711359 + 1. assign V204173 = V420267. assign V537433 = V115866 - 1. assign V337900 = V135445. assign V246968 = V076703 + 1. assign V034627 = V706642 - 1. assign V327184 = V029217 - 1. assign V577405 = V942638. assign V819316 = V712101 + 1. assign V756469 = V184851 - 1. assign V123459 = V977200 + 1. assign V115866 = V423243 - 1. assign V937032 = V977200 - 1. assign V942638 = V711359 - 1. assign V677839 = V712101 - 1. assign V652231 = V675423. assign V496741 = V150609. assign V428602 = V133580 + 1. assign V864193 = V754404. assign V072867 = V221386 + 1. assign V730880 = V167731. assign V221386 = V516957 + 1. assign V076230 = V115541 + 1. assign V985340 = V337900. assign V241068 = V068215. assign V304971 = V756469. assign V676342 = V900726 - 1. assign V330591 = V524663 - 1. assign V823938 = V813634 - 1. assign V054796 = V157006. assign V029217 = V275844 + 1. assign V860844 = V808996 + 1. assign V115541 = V910115 - 1. assign V113209 = V167731 - 1. assign V900726 = V599190 - 1. assign V242729 = V115866 + 1. assign V431375 = V681928 - 1. assign V647670 = V972748 - 1. assign V972748 = V730880 + 1. assign V080241 = V458708 + 1. assign V220089 = V076703 + 1. assign V814420 = V184239 + 1. assign V230573 = V327184 + 1. assign V495610 = V599190 + 1. assign V430639 = V654174 + 1. assign V654174 = V997383 + 1. assign V426030 = V382303. assign V907171 = V366046 + 1. assign V382303 = V076703. assign V133580 = V163118. assign V024891 = V354596 + 1. assign V681269 = V229301. assign V259135 = V150609 - 1. assign V068215 = V997383. assign V306492 = V076703. assign V889721 = V184239 - 1. assign V426673 = V420267 - 1. assign V524274 = V869878 + 1. assign V187118 = V174192 + 1. assign V977200 = V228622 + 1. assign V067487 = V534316 + 1. assign V306006 = V693226. assign V229301 = V174192 + 1. assign V510283 = V076703. assign V783209 = V228622 + 1. assign V172697 = V813634 + 1. assign V458473 = V293940 - 1. assign V061044 = V157006 - 1. assign V899722 = V756469 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V807908 = V977200 - 1. assign V524663 = V712101 - 1. assign V711359 = V046983. assign V150609 = V754404 + 1. assign V875580 = V031838 - 1. assign V469118 = V259135 + 1. assign V379621 = V495610 + 1. assign V368988 = V599190. assign V471866 = V470820. assign V248473 = V366046 + 1. assign V470820 = V658716. assign V108149 = V730880. assign V314706 = V040030. assign V383575 = V184851 - 1. assign V354596 = V813634 + 1. assign V366046 = V382303 + 1. assign V187952 = V968733. assign V813634 = V184851 - 1. assign V163118 = V046983 + 1. assign V503409 = V191295 + 1. assign V046983 = V184851 + 1. assign V869878 = V379621 - 1. assign V997383 = V184851 - 1. assign V911389 = V502261 - 1. assign V517719 = V663756. assign V198225 = V813634. assign V167731 = V495610. assign V184239 = V823938. assign V693226 = V068215 + 1. assign V321564 = V910115. assign V675423 = V382303 + 1. assign V612078 = V174192 - 1. assign V934781 = V889721. assign V092331 = V487953 + 1. assign V026646 = V852762 - 1. assign V444036 = V430639. assign V534316 = V855398 + 1. assign V431165 = V869855. assign V120746 = V076703 + 1. assign V663756 = V852762 + 1. assign V458708 = V813634. assign V143083 = V416927 + 1. assign V531821 = V711359. assign V420267 = V711359 - 1. assign V549468 = V184239. assign V441489 = V242729. assign V065044 = V658716 + 1. assign V376377 = V767346. assign V671811 = V220089. assign V404782 = V426673. assign V634017 = V327184 - 1. assign V275844 = V823938 - 1. assign V545556 = V977200 - 1. assign V340981 = V972748. assign V516957 = V327184 - 1. assign V704044 = V366046. assign V498083 = V846723 - 1. assign V855398 = V034627 + 1. assign V502261 = V246968 + 1. assign V228622 = V756469. assign V906922 = V711359 - 1. assign V730775 = V198225 + 1. assign V225237 = V974307 - 1. assign V040030 = V423243 - 1. assign V035369 = V823938 + 1. assign V706642 = V997383. assign V512631 = V174192 - 1. assign V733033 = V907171. assign V332159 = V337900. assign V869855 = V681269. assign V974307 = V035369. assign V416927 = V910115. assign V540448 = V076230. assign V302143 = V191295. assign V681928 = V184239 + 1. assign V712101 = V972748. assign V995721 = V420267. assign V846723 = V985340 - 1. assign V327515 = V029217. assign V157006 = V612078 + 1. assign V076703 = V046983 + 1. assign V053878 = V046983 + 1. assign V031838 = 7. assign V191295 = V337900. assign V423243 = V599190 + 1. assign V910115 = V184239 - 1. assign V380976 = V733033 + 1. assign V184851 = V599190 - 1. assign V293940 = V730880 - 1. assign V800992 = V167731 + 1. assign V968733 = V366046. assign V754404 = V676342 + 1. assign V487953 = V733033 + 1. assign V421201 = V495610. assign V174192 = V163118 - 1. assign V808996 = V024891 + 1. assign V135445 = V167731 + 1. assign V685928 = V426030 - 1. assign V245990 = V379621 + 1. assign V399391 = V534316. assign V133430 = V800992 + 1. assign V767346 = V337900 - 1. assign V658716 = V711359 - 1. assign V852762 = V711359 + 1. assign V204173 = V420267. assign V537433 = V115866 - 1. assign V337900 = V135445. assign V246968 = V076703 + 1. assign V034627 = V706642 - 1. assign V327184 = V029217 - 1. assign V577405 = V942638. assign V819316 = V712101 + 1. assign V756469 = V184851 - 1. assign V123459 = V977200 + 1. assign V115866 = V423243 - 1. assign V937032 = V977200 - 1. assign V942638 = V711359 - 1. assign V677839 = V712101 - 1. assign V652231 = V675423. assign V496741 = V150609. assign V428602 = V133580 + 1. assign V864193 = V754404. assign V072867 = V221386 + 1. assign V730880 = V167731. assign V221386 = V516957 + 1. assign V076230 = V115541 + 1. assign V985340 = V337900. assign V241068 = V068215. assign V304971 = V756469. assign V676342 = V900726 - 1. assign V330591 = V524663 - 1. assign V823938 = V813634 - 1. assign V054796 = V157006. assign V029217 = V275844 + 1. assign V860844 = V808996 + 1. assign V115541 = V910115 - 1. assign V113209 = V167731 - 1. assign V900726 = V599190 - 1. assign V242729 = V115866 + 1. assign V431375 = V681928 - 1. assign V647670 = V972748 - 1. assign V972748 = V730880 + 1. assign V080241 = V458708 + 1. assign V220089 = V076703 + 1. assign V814420 = V184239 + 1. assign V230573 = V327184 + 1. assign V495610 = V599190 + 1. assign V430639 = V654174 + 1. assign V654174 = V997383 + 1. assign V426030 = V382303. assign V907171 = V366046 + 1. assign V382303 = V076703. assign V133580 = V163118. assign V024891 = V354596 + 1. assign V681269 = V229301. assign V259135 = V150609 - 1. assign V068215 = V997383. assign V306492 = V076703. assign V889721 = V184239 - 1. assign V426673 = V420267 - 1. assign V524274 = V869878 + 1. assign V187118 = V174192 + 1. assign V977200 = V228622 + 1. assign V067487 = V534316 + 1. assign V306006 = V693226. assign V229301 = V174192 + 1. assign V510283 = V076703. assign V783209 = V228622 + 1. assign V172697 = V813634 + 1. assign V458473 = V293940 - 1. assign V061044 = V157006 - 1. assign V899722 = V756469 + 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV031838 = 7;\n\nFrom these direct assignment(s), we have: \nV875580 = V031838 - 1 = 7 - 1 =6;\nNo other variables can be derived from V875580;\nNo other variables can be derived from V031838;\n\nNow we have done all the calculations. Derived variables are:\nV031838 = 7;\nV875580 = 6;\n\nNow we have finished this problem. ANSWER:\nV031838\n", "role": "assistant" } ]

[ "V682518" ]

[ { "content": "<context>\nassign V525686 = V171789 + 1. assign V092873 = V030417 - 1. assign V006113 = V416393. assign V236552 = V319575. assign V409670 = V676721 - 1. assign V672600 = V682823 - 1. assign V833048 = V712792 - 1. assign V682823 = V319575 - 1. assign V125612 = V652769. assign V590263 = V416393. assign V289007 = V749144. assign V416673 = V560340. assign V942026 = V327845 - 1. assign V003502 = V504982 - 1. assign V616485 = V400587 + 1. assign V210848 = V220156. assign V053477 = V346278. assign V845251 = V171789. assign V317470 = V561712. assign V037776 = V575563 - 1. assign V652769 = V670922 + 1. assign V746247 = V796383 + 1. assign V355132 = V557260 - 1. assign V441534 = V169753 + 1. assign V782310 = V796383 + 1. assign V713557 = V682518 - 1. assign V682518 = 1. assign V651516 = V565946 + 1. assign V923474 = V400587 - 1. assign V560331 = V557260 - 1. assign V676721 = V120353. assign V061455 = V293748 + 1. assign V673770 = V682823. assign V556851 = V565946. assign V026539 = V055761 - 1. assign V415101 = V748930 + 1. assign V892669 = V399109 - 1. assign V693361 = V682823 - 1. assign V319575 = V220156. assign V504240 = V706223. assign V120353 = V557260 - 1. assign V171789 = V676868 - 1. assign V030417 = V399109. assign V327845 = V676868 - 1. assign V420743 = V049252 + 1. assign V220156 = V158362 + 1. assign V283917 = V899698 - 1. assign V970116 = V158362. assign V617607 = V061455 + 1. assign V344963 = V748930. assign V157736 = V357532 - 1. assign V541135 = V319843 - 1. assign V797474 = V399109 - 1. assign V706223 = V169753. assign V555254 = V100235. assign V416393 = V892669 - 1. assign V130859 = V824079 + 1. assign V457080 = V495873 - 1. assign V504982 = V319843 - 1. assign V117341 = V687828 + 1. assign V327617 = V169753 - 1. assign V746858 = V344963 + 1. assign V215816 = V030417. assign V711393 = V091429 - 1. assign V701543 = V820637. assign V907622 = V617607 + 1. assign V961002 = V748930. assign V560340 = V652769. assign V233700 = V899698. assign V850447 = V309640. assign V049252 = V415101 - 1. assign V661554 = V796383 - 1. assign V687828 = V757068 - 1. assign V087573 = V416673. assign V949400 = V049252 + 1. assign V866201 = V617607 - 1. assign V495873 = V927033 + 1. assign V745295 = V866201. assign V585358 = V055598 - 1. assign V173097 = V652769 + 1. assign V711913 = V672600 - 1. assign V422845 = V560340 - 1. assign V565946 = V560331 + 1. assign V319843 = V293748. assign V169753 = V466653. assign V400587 = V415101 - 1. assign V979438 = V210848. assign V575563 = V748818 - 1. assign V643666 = V670922 + 1. assign V824079 = V422845 - 1. assign V820637 = V049252. assign V305609 = V049252 - 1. assign V969986 = V557260 + 1. assign V925382 = V499557. assign V599395 = V737740 - 1. assign V561712 = V737740 + 1. assign V080555 = V293748 - 1. assign V082461 = V061455. assign V307558 = V026539. assign V091270 = V441534 - 1. assign V737530 = V560331 - 1. assign V696231 = V565946 - 1. assign V309640 = V737530 - 1. assign V754668 = V293748 + 1. assign V466653 = V171789 + 1. assign V157596 = V293748 + 1. assign V670922 = V835803. assign V901879 = V049252. assign V998767 = V556851 + 1. assign V651717 = V481841 - 1. assign V903036 = V969986. assign V158362 = V399109 - 1. assign V971686 = V481841 + 1. assign V737740 = V652769. assign V499557 = V422845. assign V293748 = V158362 - 1. assign V100235 = V560340 - 1. assign V166302 = V100235. assign V382131 = V927033 + 1. assign V789518 = V942026. assign V118729 = V616485 + 1. assign V748930 = V835803 - 1. assign V712792 = V651516 + 1. assign V757068 = V215816 - 1. assign V899698 = V092873. assign V525835 = V956289. assign V346278 = V748818 + 1. assign V258359 = V125612 + 1. assign V584594 = V169753 + 1. assign V295776 = V892669. assign V096292 = V820637 - 1. assign V669458 = V643666. assign V234901 = V670922 + 1. assign V676868 = V158362 - 1. assign V875079 = V712792 + 1. assign V927033 = V835803 - 1. assign V843970 = V399109 - 1. assign V379539 = V346278 + 1. assign V458337 = V504240 - 1. assign V749144 = V557260 + 1. assign V481841 = V560340 - 1. assign V160949 = V746858 - 1. assign V795398 = V525835. assign V522623 = V220156 - 1. assign V055598 = V797474 - 1. assign V357532 = V400587. assign V965623 = V055761. assign V141027 = V415101. assign V427118 = V441534 + 1. assign V606840 = V901879 + 1. assign V796383 = V220156. assign V103103 = V971686 - 1. assign V748818 = V293748 + 1. assign V993010 = V925382. assign V669979 = V652769. assign V446670 = V055598 + 1. assign V181398 = V696231 + 1. assign V091429 = V712792. assign V574337 = V651516 + 1. assign V582577 = V466653. assign V912094 = V319843. assign V055761 = V215816 - 1. assign V324047 = V969986 - 1. assign V502594 = V441534 + 1. assign V821313 = V382131 + 1. assign V972744 = V965623. assign V862352 = V757068 + 1. assign V557260 = V754668. assign V956289 = V676868. assign V754954 = V309640. assign V835803 = V399109 - 1. assign V164405 = V754668.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V525686 = V171789 + 1. assign V092873 = V030417 - 1. assign V006113 = V416393. assign V236552 = V319575. assign V409670 = V676721 - 1. assign V672600 = V682823 - 1. assign V833048 = V712792 - 1. assign V682823 = V319575 - 1. assign V125612 = V652769. assign V590263 = V416393. assign V289007 = V749144. assign V416673 = V560340. assign V942026 = V327845 - 1. assign V003502 = V504982 - 1. assign V616485 = V400587 + 1. assign V210848 = V220156. assign V053477 = V346278. assign V845251 = V171789. assign V317470 = V561712. assign V037776 = V575563 - 1. assign V652769 = V670922 + 1. assign V746247 = V796383 + 1. assign V355132 = V557260 - 1. assign V441534 = V169753 + 1. assign V782310 = V796383 + 1. assign V713557 = V682518 - 1. assign V682518 = 1. assign V651516 = V565946 + 1. assign V923474 = V400587 - 1. assign V560331 = V557260 - 1. assign V676721 = V120353. assign V061455 = V293748 + 1. assign V673770 = V682823. assign V556851 = V565946. assign V026539 = V055761 - 1. assign V415101 = V748930 + 1. assign V892669 = V399109 - 1. assign V693361 = V682823 - 1. assign V319575 = V220156. assign V504240 = V706223. assign V120353 = V557260 - 1. assign V171789 = V676868 - 1. assign V030417 = V399109. assign V327845 = V676868 - 1. assign V420743 = V049252 + 1. assign V220156 = V158362 + 1. assign V283917 = V899698 - 1. assign V970116 = V158362. assign V617607 = V061455 + 1. assign V344963 = V748930. assign V157736 = V357532 - 1. assign V541135 = V319843 - 1. assign V797474 = V399109 - 1. assign V706223 = V169753. assign V555254 = V100235. assign V416393 = V892669 - 1. assign V130859 = V824079 + 1. assign V457080 = V495873 - 1. assign V504982 = V319843 - 1. assign V117341 = V687828 + 1. assign V327617 = V169753 - 1. assign V746858 = V344963 + 1. assign V215816 = V030417. assign V711393 = V091429 - 1. assign V701543 = V820637. assign V907622 = V617607 + 1. assign V961002 = V748930. assign V560340 = V652769. assign V233700 = V899698. assign V850447 = V309640. assign V049252 = V415101 - 1. assign V661554 = V796383 - 1. assign V687828 = V757068 - 1. assign V087573 = V416673. assign V949400 = V049252 + 1. assign V866201 = V617607 - 1. assign V495873 = V927033 + 1. assign V745295 = V866201. assign V585358 = V055598 - 1. assign V173097 = V652769 + 1. assign V711913 = V672600 - 1. assign V422845 = V560340 - 1. assign V565946 = V560331 + 1. assign V319843 = V293748. assign V169753 = V466653. assign V400587 = V415101 - 1. assign V979438 = V210848. assign V575563 = V748818 - 1. assign V643666 = V670922 + 1. assign V824079 = V422845 - 1. assign V820637 = V049252. assign V305609 = V049252 - 1. assign V969986 = V557260 + 1. assign V925382 = V499557. assign V599395 = V737740 - 1. assign V561712 = V737740 + 1. assign V080555 = V293748 - 1. assign V082461 = V061455. assign V307558 = V026539. assign V091270 = V441534 - 1. assign V737530 = V560331 - 1. assign V696231 = V565946 - 1. assign V309640 = V737530 - 1. assign V754668 = V293748 + 1. assign V466653 = V171789 + 1. assign V157596 = V293748 + 1. assign V670922 = V835803. assign V901879 = V049252. assign V998767 = V556851 + 1. assign V651717 = V481841 - 1. assign V903036 = V969986. assign V158362 = V399109 - 1. assign V971686 = V481841 + 1. assign V737740 = V652769. assign V499557 = V422845. assign V293748 = V158362 - 1. assign V100235 = V560340 - 1. assign V166302 = V100235. assign V382131 = V927033 + 1. assign V789518 = V942026. assign V118729 = V616485 + 1. assign V748930 = V835803 - 1. assign V712792 = V651516 + 1. assign V757068 = V215816 - 1. assign V899698 = V092873. assign V525835 = V956289. assign V346278 = V748818 + 1. assign V258359 = V125612 + 1. assign V584594 = V169753 + 1. assign V295776 = V892669. assign V096292 = V820637 - 1. assign V669458 = V643666. assign V234901 = V670922 + 1. assign V676868 = V158362 - 1. assign V875079 = V712792 + 1. assign V927033 = V835803 - 1. assign V843970 = V399109 - 1. assign V379539 = V346278 + 1. assign V458337 = V504240 - 1. assign V749144 = V557260 + 1. assign V481841 = V560340 - 1. assign V160949 = V746858 - 1. assign V795398 = V525835. assign V522623 = V220156 - 1. assign V055598 = V797474 - 1. assign V357532 = V400587. assign V965623 = V055761. assign V141027 = V415101. assign V427118 = V441534 + 1. assign V606840 = V901879 + 1. assign V796383 = V220156. assign V103103 = V971686 - 1. assign V748818 = V293748 + 1. assign V993010 = V925382. assign V669979 = V652769. assign V446670 = V055598 + 1. assign V181398 = V696231 + 1. assign V091429 = V712792. assign V574337 = V651516 + 1. assign V582577 = V466653. assign V912094 = V319843. assign V055761 = V215816 - 1. assign V324047 = V969986 - 1. assign V502594 = V441534 + 1. assign V821313 = V382131 + 1. assign V972744 = V965623. assign V862352 = V757068 + 1. assign V557260 = V754668. assign V956289 = V676868. assign V754954 = V309640. assign V835803 = V399109 - 1. assign V164405 = V754668.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV682518 = 1;\n\nFrom these direct assignment(s), we have: \nV713557 = V682518 - 1 = 1 - 1 =0;\nNo other variables can be derived from V713557;\nNo other variables can be derived from V682518;\n\nNow we have done all the calculations. Derived variables are:\nV682518 = 1;\nV713557 = 0;\n\nNow we have finished this problem. ANSWER:\nV682518\n", "role": "assistant" } ]

[ "V585197", "V616954" ]

[ { "content": "<context>\nassign V744400 = V612312. assign V173496 = V635608 + 1. assign V965640 = V897314 - 1. assign V101189 = V519482 - 1. assign V859837 = V933074. assign V466660 = V950215 + 1. assign V832191 = V500463. assign V309530 = V933074 + 1. assign V622042 = V858268. assign V787666 = V466660 + 1. assign V478016 = V259589 - 1. assign V520886 = V980505 + 1. assign V684414 = V938658 - 1. assign V653984 = V385743. assign V020523 = V920991 - 1. assign V058063 = V309530 + 1. assign V481416 = V505614 - 1. assign V956018 = V602203 - 1. assign V792615 = V729389 - 1. assign V563319 = V650885 + 1. assign V537608 = V923696 - 1. assign V159035 = V825348. assign V741131 = V729389. assign V260375 = V084198 + 1. assign V140292 = V385743 - 1. assign V622797 = V393906 - 1. assign V667011 = V467785 - 1. assign V991826 = V684414. assign V914848 = V418412 - 1. assign V936935 = V832626. assign V873002 = V754326 + 1. assign V027722 = V344673 + 1. assign V808490 = V276064 - 1. assign V758277 = V506495 - 1. assign V751726 = V653984. assign V303715 = V020523. assign V587530 = V833388. assign V111574 = V565290 + 1. assign V064231 = V775008 - 1. assign V752500 = V446274 - 1. assign V058592 = V833388 + 1. assign V958859 = V888476 + 1. assign V616547 = V083605. assign V980505 = V111574. assign V350469 = V847484 + 1. assign V456421 = V276064 - 1. assign V147613 = V612312. assign V934485 = V985775. assign V815476 = V633912 + 1. assign V829503 = V650885 + 1. assign V536014 = V847484. assign V117081 = V344673 + 1. assign V115886 = V417872 - 1. assign V872488 = V304766 - 1. assign V787948 = V758277 - 1. assign V226033 = V565290 - 1. assign V583711 = V938658. assign V175751 = V828034 - 1. assign V985775 = V563319. assign V933074 = V792615 - 1. assign V828034 = V466660 - 1. assign V385743 = V938658. assign V232576 = V276064. assign V212735 = V650885. assign V779772 = V178924 - 1. assign V950215 = V829503 - 1. assign V283143 = V500463 - 1. assign V178924 = V505614 - 1. assign V334725 = V058063 - 1. assign V109455 = V914848 + 1. assign V798172 = V195062 + 1. assign V417872 = V418412. assign V938658 = V729389. assign V567108 = V446274 + 1. assign V602203 = V109455 - 1. assign V836254 = V190110 - 1. assign V502040 = V259589. assign V411382 = V612312. assign V346207 = V741131 - 1. assign V141877 = V145767 - 1. assign V505614 = V319994 + 1. assign V957781 = V140292 + 1. assign V282124 = V020523 - 1. assign V826702 = V406444 - 1. assign V325235 = V145767 - 1. assign V986427 = V190110 - 1. assign V393906 = V828034 + 1. assign V044464 = V934485. assign V418412 = V058063 - 1. assign V048903 = V466660. assign V190110 = V985775 - 1. assign V018890 = V411382. assign V022359 = V859837. assign V459465 = V303715 - 1. assign V300942 = V888476 - 1. assign V650885 = V933074. assign V123945 = V650885. assign V660635 = V178924 - 1. assign V576752 = V446274. assign V665647 = V957781. assign V833388 = V048903 + 1. assign V888476 = V467785 + 1. assign V406513 = V832626. assign V276064 = V741131. assign V606827 = V431883 - 1. assign V545571 = V633912 - 1. assign V905145 = V684414 + 1. assign V431883 = V446274 + 1. assign V504168 = V897314. assign V577959 = V109455 + 1. assign V628978 = V920991 + 1. assign V500463 = V319994. assign V864202 = V117081 + 1. assign V682563 = V653984 - 1. assign V519482 = V633912 - 1. assign V704822 = V195062 + 1. assign V286912 = V914848 + 1. assign V215345 = V744400 + 1. assign V633912 = V792615 - 1. assign V847484 = V083605 + 1. assign V446274 = V505614 + 1. assign V785013 = V286912. assign V344673 = V226033. assign V202289 = V319994 - 1. assign V743581 = V159035. assign V083605 = V933074 - 1. assign V596797 = V792615. assign V022844 = V115886. assign V565290 = V612312. assign V304766 = V565290 + 1. assign V235578 = V109455 + 1. assign V832626 = V545571 - 1. assign V366238 = V022359. assign V858268 = V195062 - 1. assign V115486 = V914848 + 1. assign V385397 = V897314 - 1. assign V923696 = V729389. assign V775008 = V562681 + 1. assign V360352 = V140292. assign V705570 = V115886 + 1. assign V467785 = V058063 - 1. assign V922752 = V682563 + 1. assign V612312 = V741131 + 1. assign V576438 = V360352 - 1. assign V259589 = V829503 + 1. assign V530325 = V562681. assign V319994 = V923696 + 1. assign V707317 = V817491 + 1. assign V195062 = V562681. assign V643550 = V729389. assign V754326 = V519482. assign V562681 = V545571 - 1. assign V388210 = V933074. assign V598623 = V276064 + 1. assign V807136 = V117081 - 1. assign V159872 = V792615. assign V727461 = V936935. assign V979948 = V650885. assign V920991 = V018890 + 1. assign V663885 = V388210. assign V635608 = V888476 - 1. assign V897314 = V583711 + 1. assign V506495 = V815476 + 1. assign V585197 = 9. assign V595726 = V505614 - 1. assign V084198 = V481416 + 1. assign V240147 = V965640 - 1. assign V406444 = V576752. assign V817491 = V933074 + 1. assign V825348 = V596797 + 1. assign V145767 = V991826. assign V616954 = V585197.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V744400 = V612312. assign V173496 = V635608 + 1. assign V965640 = V897314 - 1. assign V101189 = V519482 - 1. assign V859837 = V933074. assign V466660 = V950215 + 1. assign V832191 = V500463. assign V309530 = V933074 + 1. assign V622042 = V858268. assign V787666 = V466660 + 1. assign V478016 = V259589 - 1. assign V520886 = V980505 + 1. assign V684414 = V938658 - 1. assign V653984 = V385743. assign V020523 = V920991 - 1. assign V058063 = V309530 + 1. assign V481416 = V505614 - 1. assign V956018 = V602203 - 1. assign V792615 = V729389 - 1. assign V563319 = V650885 + 1. assign V537608 = V923696 - 1. assign V159035 = V825348. assign V741131 = V729389. assign V260375 = V084198 + 1. assign V140292 = V385743 - 1. assign V622797 = V393906 - 1. assign V667011 = V467785 - 1. assign V991826 = V684414. assign V914848 = V418412 - 1. assign V936935 = V832626. assign V873002 = V754326 + 1. assign V027722 = V344673 + 1. assign V808490 = V276064 - 1. assign V758277 = V506495 - 1. assign V751726 = V653984. assign V303715 = V020523. assign V587530 = V833388. assign V111574 = V565290 + 1. assign V064231 = V775008 - 1. assign V752500 = V446274 - 1. assign V058592 = V833388 + 1. assign V958859 = V888476 + 1. assign V616547 = V083605. assign V980505 = V111574. assign V350469 = V847484 + 1. assign V456421 = V276064 - 1. assign V147613 = V612312. assign V934485 = V985775. assign V815476 = V633912 + 1. assign V829503 = V650885 + 1. assign V536014 = V847484. assign V117081 = V344673 + 1. assign V115886 = V417872 - 1. assign V872488 = V304766 - 1. assign V787948 = V758277 - 1. assign V226033 = V565290 - 1. assign V583711 = V938658. assign V175751 = V828034 - 1. assign V985775 = V563319. assign V933074 = V792615 - 1. assign V828034 = V466660 - 1. assign V385743 = V938658. assign V232576 = V276064. assign V212735 = V650885. assign V779772 = V178924 - 1. assign V950215 = V829503 - 1. assign V283143 = V500463 - 1. assign V178924 = V505614 - 1. assign V334725 = V058063 - 1. assign V109455 = V914848 + 1. assign V798172 = V195062 + 1. assign V417872 = V418412. assign V938658 = V729389. assign V567108 = V446274 + 1. assign V602203 = V109455 - 1. assign V836254 = V190110 - 1. assign V502040 = V259589. assign V411382 = V612312. assign V346207 = V741131 - 1. assign V141877 = V145767 - 1. assign V505614 = V319994 + 1. assign V957781 = V140292 + 1. assign V282124 = V020523 - 1. assign V826702 = V406444 - 1. assign V325235 = V145767 - 1. assign V986427 = V190110 - 1. assign V393906 = V828034 + 1. assign V044464 = V934485. assign V418412 = V058063 - 1. assign V048903 = V466660. assign V190110 = V985775 - 1. assign V018890 = V411382. assign V022359 = V859837. assign V459465 = V303715 - 1. assign V300942 = V888476 - 1. assign V650885 = V933074. assign V123945 = V650885. assign V660635 = V178924 - 1. assign V576752 = V446274. assign V665647 = V957781. assign V833388 = V048903 + 1. assign V888476 = V467785 + 1. assign V406513 = V832626. assign V276064 = V741131. assign V606827 = V431883 - 1. assign V545571 = V633912 - 1. assign V905145 = V684414 + 1. assign V431883 = V446274 + 1. assign V504168 = V897314. assign V577959 = V109455 + 1. assign V628978 = V920991 + 1. assign V500463 = V319994. assign V864202 = V117081 + 1. assign V682563 = V653984 - 1. assign V519482 = V633912 - 1. assign V704822 = V195062 + 1. assign V286912 = V914848 + 1. assign V215345 = V744400 + 1. assign V633912 = V792615 - 1. assign V847484 = V083605 + 1. assign V446274 = V505614 + 1. assign V785013 = V286912. assign V344673 = V226033. assign V202289 = V319994 - 1. assign V743581 = V159035. assign V083605 = V933074 - 1. assign V596797 = V792615. assign V022844 = V115886. assign V565290 = V612312. assign V304766 = V565290 + 1. assign V235578 = V109455 + 1. assign V832626 = V545571 - 1. assign V366238 = V022359. assign V858268 = V195062 - 1. assign V115486 = V914848 + 1. assign V385397 = V897314 - 1. assign V923696 = V729389. assign V775008 = V562681 + 1. assign V360352 = V140292. assign V705570 = V115886 + 1. assign V467785 = V058063 - 1. assign V922752 = V682563 + 1. assign V612312 = V741131 + 1. assign V576438 = V360352 - 1. assign V259589 = V829503 + 1. assign V530325 = V562681. assign V319994 = V923696 + 1. assign V707317 = V817491 + 1. assign V195062 = V562681. assign V643550 = V729389. assign V754326 = V519482. assign V562681 = V545571 - 1. assign V388210 = V933074. assign V598623 = V276064 + 1. assign V807136 = V117081 - 1. assign V159872 = V792615. assign V727461 = V936935. assign V979948 = V650885. assign V920991 = V018890 + 1. assign V663885 = V388210. assign V635608 = V888476 - 1. assign V897314 = V583711 + 1. assign V506495 = V815476 + 1. assign V585197 = 9. assign V595726 = V505614 - 1. assign V084198 = V481416 + 1. assign V240147 = V965640 - 1. assign V406444 = V576752. assign V817491 = V933074 + 1. assign V825348 = V596797 + 1. assign V145767 = V991826. assign V616954 = V585197.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV585197 = 9;\n\nFrom these direct assignment(s), we have: \nV616954 = V585197 = 9;\nNo other variables can be derived from V616954;\nNo other variables can be derived from V585197;\n\nNow we have done all the calculations. Derived variables are:\nV585197 = 9;\nV616954 = 9;\n\nNow we have finished this problem. ANSWER:\nV585197, V616954\n", "role": "assistant" } ]

[ "V653930", "V597796" ]

[ { "content": "<context>\nassign V133756 = V461357 + 1. assign V961365 = V685659 - 1. assign V117928 = V950210 - 1. assign V626224 = V760382 + 1. assign V406165 = V339936. assign V758493 = V354757. assign V305409 = V011638 - 1. assign V631942 = V350361 + 1. assign V715409 = V545537 + 1. assign V421517 = V691048 + 1. assign V993252 = V354759 - 1. assign V686093 = V790989 + 1. assign V984543 = V103802 + 1. assign V790989 = V002773. assign V691048 = V186051. assign V164924 = V223013 - 1. assign V758952 = V730054. assign V690639 = V917788 + 1. assign V829983 = V989246. assign V733823 = V933794 - 1. assign V284255 = V604386 + 1. assign V909042 = V881236 + 1. assign V471265 = V974032 + 1. assign V284979 = V350361 - 1. assign V097047 = V164924. assign V531365 = V937542. assign V844083 = V685659 + 1. assign V562999 = V974032 + 1. assign V279203 = V538444 + 1. assign V529207 = V545537. assign V963141 = V387538 - 1. assign V249954 = V461357. assign V802863 = V456374 + 1. assign V993949 = V650602 + 1. assign V368007 = V143603 - 1. assign V500569 = V117690 + 1. assign V280226 = V685659. assign V643455 = V280226 + 1. assign V690231 = V604386. assign V476564 = V644221. assign V278495 = V174598 - 1. assign V872045 = V398544 + 1. assign V350361 = V186051 - 1. assign V007642 = V579171 + 1. assign V989246 = V305409 + 1. assign V427382 = V784117. assign V732445 = V838034. assign V950210 = V186051 - 1. assign V011638 = V567932. assign V271166 = V406165. assign V300443 = V284255 - 1. assign V474369 = V157066 - 1. assign V409532 = V492887. assign V093078 = V762729 + 1. assign V456374 = V133756 - 1. assign V612360 = V398544. assign V912811 = V685659. assign V355393 = V409532 + 1. assign V072666 = V538444. assign V744451 = V974032. assign V937542 = V538444 + 1. assign V756195 = V802863. assign V273344 = V733276. assign V650602 = V523687 - 1. assign V125467 = V685659. assign V580275 = V760382 + 1. assign V733276 = V567932 + 1. assign V778104 = V057861 - 1. assign V863145 = V691048 - 1. assign V354757 = V309266 + 1. assign V106575 = V937542. assign V407887 = V354757 + 1. assign V621384 = V733276 - 1. assign V155012 = V456374. assign V410967 = V252138 - 1. assign V117690 = V644260 + 1. assign V004414 = V933794 - 1. assign V905591 = V802863 - 1. assign V397807 = V339936 - 1. assign V461534 = V685659 + 1. assign V848939 = V545537. assign V686551 = V354757 - 1. assign V636950 = V004414 + 1. assign V523687 = V730054. assign V351877 = V844083. assign V870939 = V097047. assign V068519 = V476564. assign V174598 = V784117. assign V760382 = V332632 - 1. assign V580294 = V387538 + 1. assign V936894 = V103802 - 1. assign V309266 = V186051 + 1. assign V604386 = V567932 + 1. assign V974032 = V284255 + 1. assign V817372 = V474369 + 1. assign V971115 = V917788. assign V387538 = V848939 + 1. assign V297790 = V579171 - 1. assign V158252 = V335091. assign V272258 = V733276 - 1. assign V538444 = V760382 - 1. assign V591411 = V827036. assign V050916 = V397807 - 1. assign V797964 = V164924 + 1. assign V828402 = V936894 - 1. assign V270240 = V529207. assign V087246 = V309875. assign V002773 = V309266. assign V653930 = 5. assign V057861 = V974032 + 1. assign V917788 = V461357 + 1. assign V646684 = V341879 - 1. assign V784117 = V961365 - 1. assign V305251 = V155012 + 1. assign V355402 = V155012 + 1. assign V597796 = V653930. assign V220133 = V579171 - 1. assign V258517 = V691048 + 1. assign V685659 = V604386 - 1. assign V808460 = V917788 - 1. assign V006307 = V471265. assign V341879 = V332632 + 1. assign V103802 = V631942. assign V911889 = V523687 + 1. assign V461357 = V567932 + 1. assign V300576 = V174598 - 1. assign V522970 = V461357 + 1. assign V838034 = V249954. assign V223013 = V567932. assign V335091 = V950210 - 1. assign V257558 = V354757. assign V827036 = V004414 + 1. assign V063266 = V993949 - 1. assign V186051 = V461357 - 1. assign V211809 = V271166 + 1. assign V682063 = V125467 + 1. assign V778223 = V545537 - 1. assign V341941 = V305409 + 1. assign V491751 = V848939 + 1. assign V881236 = V476564 + 1. assign V203420 = V580275. assign V579171 = V456374 + 1. assign V762729 = V280226 - 1. assign V309875 = V567932 - 1. assign V949041 = V258517 + 1. assign V398788 = V690231. assign V339936 = V762729. assign V492887 = V523687 + 1. assign V143603 = V300576 + 1. assign V022737 = V158252 + 1. assign V332632 = V730054 - 1. assign V730054 = V461357. assign V398544 = V476564. assign V402316 = V911889. assign V247640 = V206729 - 1. assign V206729 = V881236 - 1. assign V905487 = V341879. assign V644221 = V685659 - 1. assign V951220 = V523687 + 1. assign V720107 = V829983 - 1. assign V896318 = V211809 - 1. assign V921954 = V309875 - 1. assign V354759 = V644221. assign V933794 = V567932 + 1. assign V853982 = V271166 - 1. assign V656877 = V350361. assign V644260 = V730054 - 1. assign V336355 = V644260 - 1. assign V157066 = V682063. assign V545537 = V332632. assign V252138 = V011638 - 1. assign V549969 = V936894 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V133756 = V461357 + 1. assign V961365 = V685659 - 1. assign V117928 = V950210 - 1. assign V626224 = V760382 + 1. assign V406165 = V339936. assign V758493 = V354757. assign V305409 = V011638 - 1. assign V631942 = V350361 + 1. assign V715409 = V545537 + 1. assign V421517 = V691048 + 1. assign V993252 = V354759 - 1. assign V686093 = V790989 + 1. assign V984543 = V103802 + 1. assign V790989 = V002773. assign V691048 = V186051. assign V164924 = V223013 - 1. assign V758952 = V730054. assign V690639 = V917788 + 1. assign V829983 = V989246. assign V733823 = V933794 - 1. assign V284255 = V604386 + 1. assign V909042 = V881236 + 1. assign V471265 = V974032 + 1. assign V284979 = V350361 - 1. assign V097047 = V164924. assign V531365 = V937542. assign V844083 = V685659 + 1. assign V562999 = V974032 + 1. assign V279203 = V538444 + 1. assign V529207 = V545537. assign V963141 = V387538 - 1. assign V249954 = V461357. assign V802863 = V456374 + 1. assign V993949 = V650602 + 1. assign V368007 = V143603 - 1. assign V500569 = V117690 + 1. assign V280226 = V685659. assign V643455 = V280226 + 1. assign V690231 = V604386. assign V476564 = V644221. assign V278495 = V174598 - 1. assign V872045 = V398544 + 1. assign V350361 = V186051 - 1. assign V007642 = V579171 + 1. assign V989246 = V305409 + 1. assign V427382 = V784117. assign V732445 = V838034. assign V950210 = V186051 - 1. assign V011638 = V567932. assign V271166 = V406165. assign V300443 = V284255 - 1. assign V474369 = V157066 - 1. assign V409532 = V492887. assign V093078 = V762729 + 1. assign V456374 = V133756 - 1. assign V612360 = V398544. assign V912811 = V685659. assign V355393 = V409532 + 1. assign V072666 = V538444. assign V744451 = V974032. assign V937542 = V538444 + 1. assign V756195 = V802863. assign V273344 = V733276. assign V650602 = V523687 - 1. assign V125467 = V685659. assign V580275 = V760382 + 1. assign V733276 = V567932 + 1. assign V778104 = V057861 - 1. assign V863145 = V691048 - 1. assign V354757 = V309266 + 1. assign V106575 = V937542. assign V407887 = V354757 + 1. assign V621384 = V733276 - 1. assign V155012 = V456374. assign V410967 = V252138 - 1. assign V117690 = V644260 + 1. assign V004414 = V933794 - 1. assign V905591 = V802863 - 1. assign V397807 = V339936 - 1. assign V461534 = V685659 + 1. assign V848939 = V545537. assign V686551 = V354757 - 1. assign V636950 = V004414 + 1. assign V523687 = V730054. assign V351877 = V844083. assign V870939 = V097047. assign V068519 = V476564. assign V174598 = V784117. assign V760382 = V332632 - 1. assign V580294 = V387538 + 1. assign V936894 = V103802 - 1. assign V309266 = V186051 + 1. assign V604386 = V567932 + 1. assign V974032 = V284255 + 1. assign V817372 = V474369 + 1. assign V971115 = V917788. assign V387538 = V848939 + 1. assign V297790 = V579171 - 1. assign V158252 = V335091. assign V272258 = V733276 - 1. assign V538444 = V760382 - 1. assign V591411 = V827036. assign V050916 = V397807 - 1. assign V797964 = V164924 + 1. assign V828402 = V936894 - 1. assign V270240 = V529207. assign V087246 = V309875. assign V002773 = V309266. assign V653930 = 5. assign V057861 = V974032 + 1. assign V917788 = V461357 + 1. assign V646684 = V341879 - 1. assign V784117 = V961365 - 1. assign V305251 = V155012 + 1. assign V355402 = V155012 + 1. assign V597796 = V653930. assign V220133 = V579171 - 1. assign V258517 = V691048 + 1. assign V685659 = V604386 - 1. assign V808460 = V917788 - 1. assign V006307 = V471265. assign V341879 = V332632 + 1. assign V103802 = V631942. assign V911889 = V523687 + 1. assign V461357 = V567932 + 1. assign V300576 = V174598 - 1. assign V522970 = V461357 + 1. assign V838034 = V249954. assign V223013 = V567932. assign V335091 = V950210 - 1. assign V257558 = V354757. assign V827036 = V004414 + 1. assign V063266 = V993949 - 1. assign V186051 = V461357 - 1. assign V211809 = V271166 + 1. assign V682063 = V125467 + 1. assign V778223 = V545537 - 1. assign V341941 = V305409 + 1. assign V491751 = V848939 + 1. assign V881236 = V476564 + 1. assign V203420 = V580275. assign V579171 = V456374 + 1. assign V762729 = V280226 - 1. assign V309875 = V567932 - 1. assign V949041 = V258517 + 1. assign V398788 = V690231. assign V339936 = V762729. assign V492887 = V523687 + 1. assign V143603 = V300576 + 1. assign V022737 = V158252 + 1. assign V332632 = V730054 - 1. assign V730054 = V461357. assign V398544 = V476564. assign V402316 = V911889. assign V247640 = V206729 - 1. assign V206729 = V881236 - 1. assign V905487 = V341879. assign V644221 = V685659 - 1. assign V951220 = V523687 + 1. assign V720107 = V829983 - 1. assign V896318 = V211809 - 1. assign V921954 = V309875 - 1. assign V354759 = V644221. assign V933794 = V567932 + 1. assign V853982 = V271166 - 1. assign V656877 = V350361. assign V644260 = V730054 - 1. assign V336355 = V644260 - 1. assign V157066 = V682063. assign V545537 = V332632. assign V252138 = V011638 - 1. assign V549969 = V936894 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV653930 = 5;\n\nFrom these direct assignment(s), we have: \nV597796 = V653930 = 5;\nNo other variables can be derived from V597796;\nNo other variables can be derived from V653930;\n\nNow we have done all the calculations. Derived variables are:\nV653930 = 5;\nV597796 = 5;\n\nNow we have finished this problem. ANSWER:\nV653930, V597796\n", "role": "assistant" } ]

[ "V826481" ]

[ { "content": "<context>\nassign V447119 = V777020 + 1. assign V051100 = V209062 - 1. assign V522373 = V197352 + 1. assign V278113 = V402263. assign V345704 = V194363 + 1. assign V323211 = V777020 - 1. assign V090747 = V755551 - 1. assign V758643 = V963206. assign V080422 = V354586 + 1. assign V481294 = V447119 - 1. assign V816252 = V755551 - 1. assign V909488 = V947300 + 1. assign V929729 = V333335 - 1. assign V638124 = V265327 - 1. assign V826481 = 1. assign V013036 = V176406 + 1. assign V910704 = V015034 - 1. assign V015034 = V194363. assign V942471 = V522857 - 1. assign V003610 = V031393 - 1. assign V665711 = V447119 - 1. assign V758983 = V031393. assign V176406 = V619782. assign V409770 = V222373. assign V634654 = V221505 + 1. assign V298352 = V396783 - 1. assign V516403 = V286428 - 1. assign V275506 = V286428. assign V522857 = V194363 + 1. assign V194363 = V221505 + 1. assign V540001 = V051100. assign V285970 = V222373 - 1. assign V973886 = V182497 + 1. assign V347904 = V549898 - 1. assign V864537 = V397422 + 1. assign V865549 = V474986. assign V715375 = V295589 + 1. assign V301118 = V910704. assign V032872 = V522857 - 1. assign V464937 = V039549 + 1. assign V039549 = V866737 + 1. assign V519630 = V755551 + 1. assign V954676 = V590404. assign V424585 = V032872. assign V925981 = V777773 + 1. assign V635984 = V902913. assign V927741 = V070795 - 1. assign V934548 = V621755 + 1. assign V023537 = V090747 - 1. assign V230566 = V585974. assign V382336 = V176406. assign V012216 = V345704. assign V131698 = V070795 + 1. assign V351124 = V447119 + 1. assign V631694 = V286428. assign V848049 = V917432 + 1. assign V383865 = V469539 + 1. assign V323774 = V234684 - 1. assign V572094 = V139746 + 1. assign V690394 = V308802 + 1. assign V182497 = V665711. assign V445379 = V464937 - 1. assign V621755 = V286428 + 1. assign V539363 = V032872 - 1. assign V221505 = V516403. assign V234684 = V585974. assign V222373 = V516403. assign V443669 = V462615 - 1. assign V586853 = V230566 - 1. assign V963206 = V269015 + 1. assign V067526 = V784433 - 1. assign V867153 = V481294. assign V846913 = V197845. assign V824679 = V114549 - 1. assign V619782 = V917432 + 1. assign V480028 = V519630 - 1. assign V269015 = V182497 + 1. assign V104953 = V080422 - 1. assign V784433 = V492206 - 1. assign V139746 = V269015 - 1. assign V287826 = V351124. assign V605385 = V351124 + 1. assign V777773 = V354586. assign V635977 = V590404. assign V547256 = V162605 + 1. assign V764155 = V222373 + 1. assign V397422 = V777020 - 1. assign V680658 = V234684 + 1. assign V308802 = V841935. assign V680686 = V197845 + 1. assign V114549 = V222373 + 1. assign V508355 = V867153 - 1. assign V590404 = V409211. assign V396783 = V447119. assign V193246 = V742235. assign V947300 = V929196. assign V841935 = V481294. assign V397740 = V474986 - 1. assign V552382 = V474986 - 1. assign V793662 = V917432. assign V031535 = V742235 + 1. assign V031861 = V345704 - 1. assign V826782 = V131698 + 1. assign V892590 = V447119. assign V883689 = V548698 + 1. assign V340092 = V516403 - 1. assign V918650 = V387869 + 1. assign V948071 = V590404 + 1. assign V409211 = V516403 + 1. assign V548698 = V665711 - 1. assign V033929 = V492206. assign V660908 = V777020 + 1. assign V333335 = V481294. assign V766314 = V865549. assign V969148 = V892590 - 1. assign V498744 = V793662 + 1. assign V889381 = V619782 - 1. assign V303331 = V586853 - 1. assign V797173 = V031535 + 1. assign V742235 = V846913. assign V101880 = V865549 + 1. assign V387869 = V777020 + 1. assign V474986 = V197845 + 1. assign V462615 = V917432. assign V608383 = V865549 + 1. assign V402263 = V590404 + 1. assign V325027 = V031393 - 1. assign V662329 = V680686 - 1. assign V912478 = V764155 + 1. assign V763040 = V516403 + 1. assign V645291 = V883689 + 1. assign V964898 = V917432 - 1. assign V197845 = V516403 + 1. assign V549898 = V680686. assign V929196 = V777773 - 1. assign V070795 = V295589. assign V755551 = V221505. assign V031393 = V516403 + 1. assign V409295 = V613677 + 1. assign V002875 = V973886. assign V575146 = V354586 - 1. assign V983750 = V619782 + 1. assign V469539 = V522857 - 1. assign V492206 = V548698. assign V265327 = V848049. assign V917184 = V793662 - 1. assign V917432 = V194363. assign V847266 = V665711. assign V939737 = V866737 - 1. assign V508282 = V742235 - 1. assign V525403 = V867153. assign V814301 = V234684. assign V866737 = V286428 + 1. assign V354586 = V665711. assign V902913 = V265327. assign V927745 = V826481 + 1. assign V613677 = V586853 - 1. assign V462205 = V601680 + 1. assign V777020 = V286428 + 1. assign V601680 = V742235 - 1. assign V226816 = V910704. assign V126334 = V522857. assign V162605 = V114549 - 1. assign V209062 = V354586. assign V700147 = V519630 - 1. assign V295589 = V619782 - 1. assign V192388 = V552382. assign V985757 = V090747 - 1. assign V585974 = V777020. assign V871531 = V552382. assign V197352 = V866737 - 1. assign V325951 = V197352.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V447119 = V777020 + 1. assign V051100 = V209062 - 1. assign V522373 = V197352 + 1. assign V278113 = V402263. assign V345704 = V194363 + 1. assign V323211 = V777020 - 1. assign V090747 = V755551 - 1. assign V758643 = V963206. assign V080422 = V354586 + 1. assign V481294 = V447119 - 1. assign V816252 = V755551 - 1. assign V909488 = V947300 + 1. assign V929729 = V333335 - 1. assign V638124 = V265327 - 1. assign V826481 = 1. assign V013036 = V176406 + 1. assign V910704 = V015034 - 1. assign V015034 = V194363. assign V942471 = V522857 - 1. assign V003610 = V031393 - 1. assign V665711 = V447119 - 1. assign V758983 = V031393. assign V176406 = V619782. assign V409770 = V222373. assign V634654 = V221505 + 1. assign V298352 = V396783 - 1. assign V516403 = V286428 - 1. assign V275506 = V286428. assign V522857 = V194363 + 1. assign V194363 = V221505 + 1. assign V540001 = V051100. assign V285970 = V222373 - 1. assign V973886 = V182497 + 1. assign V347904 = V549898 - 1. assign V864537 = V397422 + 1. assign V865549 = V474986. assign V715375 = V295589 + 1. assign V301118 = V910704. assign V032872 = V522857 - 1. assign V464937 = V039549 + 1. assign V039549 = V866737 + 1. assign V519630 = V755551 + 1. assign V954676 = V590404. assign V424585 = V032872. assign V925981 = V777773 + 1. assign V635984 = V902913. assign V927741 = V070795 - 1. assign V934548 = V621755 + 1. assign V023537 = V090747 - 1. assign V230566 = V585974. assign V382336 = V176406. assign V012216 = V345704. assign V131698 = V070795 + 1. assign V351124 = V447119 + 1. assign V631694 = V286428. assign V848049 = V917432 + 1. assign V383865 = V469539 + 1. assign V323774 = V234684 - 1. assign V572094 = V139746 + 1. assign V690394 = V308802 + 1. assign V182497 = V665711. assign V445379 = V464937 - 1. assign V621755 = V286428 + 1. assign V539363 = V032872 - 1. assign V221505 = V516403. assign V234684 = V585974. assign V222373 = V516403. assign V443669 = V462615 - 1. assign V586853 = V230566 - 1. assign V963206 = V269015 + 1. assign V067526 = V784433 - 1. assign V867153 = V481294. assign V846913 = V197845. assign V824679 = V114549 - 1. assign V619782 = V917432 + 1. assign V480028 = V519630 - 1. assign V269015 = V182497 + 1. assign V104953 = V080422 - 1. assign V784433 = V492206 - 1. assign V139746 = V269015 - 1. assign V287826 = V351124. assign V605385 = V351124 + 1. assign V777773 = V354586. assign V635977 = V590404. assign V547256 = V162605 + 1. assign V764155 = V222373 + 1. assign V397422 = V777020 - 1. assign V680658 = V234684 + 1. assign V308802 = V841935. assign V680686 = V197845 + 1. assign V114549 = V222373 + 1. assign V508355 = V867153 - 1. assign V590404 = V409211. assign V396783 = V447119. assign V193246 = V742235. assign V947300 = V929196. assign V841935 = V481294. assign V397740 = V474986 - 1. assign V552382 = V474986 - 1. assign V793662 = V917432. assign V031535 = V742235 + 1. assign V031861 = V345704 - 1. assign V826782 = V131698 + 1. assign V892590 = V447119. assign V883689 = V548698 + 1. assign V340092 = V516403 - 1. assign V918650 = V387869 + 1. assign V948071 = V590404 + 1. assign V409211 = V516403 + 1. assign V548698 = V665711 - 1. assign V033929 = V492206. assign V660908 = V777020 + 1. assign V333335 = V481294. assign V766314 = V865549. assign V969148 = V892590 - 1. assign V498744 = V793662 + 1. assign V889381 = V619782 - 1. assign V303331 = V586853 - 1. assign V797173 = V031535 + 1. assign V742235 = V846913. assign V101880 = V865549 + 1. assign V387869 = V777020 + 1. assign V474986 = V197845 + 1. assign V462615 = V917432. assign V608383 = V865549 + 1. assign V402263 = V590404 + 1. assign V325027 = V031393 - 1. assign V662329 = V680686 - 1. assign V912478 = V764155 + 1. assign V763040 = V516403 + 1. assign V645291 = V883689 + 1. assign V964898 = V917432 - 1. assign V197845 = V516403 + 1. assign V549898 = V680686. assign V929196 = V777773 - 1. assign V070795 = V295589. assign V755551 = V221505. assign V031393 = V516403 + 1. assign V409295 = V613677 + 1. assign V002875 = V973886. assign V575146 = V354586 - 1. assign V983750 = V619782 + 1. assign V469539 = V522857 - 1. assign V492206 = V548698. assign V265327 = V848049. assign V917184 = V793662 - 1. assign V917432 = V194363. assign V847266 = V665711. assign V939737 = V866737 - 1. assign V508282 = V742235 - 1. assign V525403 = V867153. assign V814301 = V234684. assign V866737 = V286428 + 1. assign V354586 = V665711. assign V902913 = V265327. assign V927745 = V826481 + 1. assign V613677 = V586853 - 1. assign V462205 = V601680 + 1. assign V777020 = V286428 + 1. assign V601680 = V742235 - 1. assign V226816 = V910704. assign V126334 = V522857. assign V162605 = V114549 - 1. assign V209062 = V354586. assign V700147 = V519630 - 1. assign V295589 = V619782 - 1. assign V192388 = V552382. assign V985757 = V090747 - 1. assign V585974 = V777020. assign V871531 = V552382. assign V197352 = V866737 - 1. assign V325951 = V197352.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV826481 = 1;\n\nFrom these direct assignment(s), we have: \nV927745 = V826481 + 1 = 1 + 1 =2;\nNo other variables can be derived from V927745;\nNo other variables can be derived from V826481;\n\nNow we have done all the calculations. Derived variables are:\nV826481 = 1;\nV927745 = 2;\n\nNow we have finished this problem. ANSWER:\nV826481\n", "role": "assistant" } ]

[ "V252530", "V654884" ]

[ { "content": "<context>\nassign V034136 = V801813 + 1. assign V195672 = V102024 - 1. assign V519035 = V125541 - 1. assign V816869 = V464763. assign V816265 = V678480 - 1. assign V987217 = V798552 - 1. assign V772680 = V727795 + 1. assign V531628 = V404781. assign V761290 = V304956. assign V840360 = V678212. assign V304956 = V951439. assign V102024 = V951439 + 1. assign V889093 = V165456 + 1. assign V801813 = V901252. assign V047706 = V589469 - 1. assign V569106 = V102024 - 1. assign V411815 = V051713 - 1. assign V370881 = V727795. assign V678480 = V024254. assign V572081 = V279206 - 1. assign V141933 = V779689 + 1. assign V613687 = V102024 - 1. assign V067611 = V459457. assign V377392 = V747766 - 1. assign V081679 = V937963 + 1. assign V501995 = V727795. assign V149582 = V772680 - 1. assign V204262 = V325930 + 1. assign V479768 = V366501 + 1. assign V783218 = V409085 - 1. assign V836458 = V400306 - 1. assign V355957 = V464763 - 1. assign V989566 = V377392. assign V974930 = V603118 - 1. assign V968598 = V801813 - 1. assign V893326 = V051713. assign V272444 = V305094. assign V650471 = V791634. assign V305094 = V942163 - 1. assign V370699 = V067611 - 1. assign V220736 = V404781 + 1. assign V289823 = V798552 - 1. assign V333439 = V082278. assign V472814 = V163136 - 1. assign V779689 = V495672 - 1. assign V400306 = V779689 + 1. assign V464763 = V783289 - 1. assign V024254 = V183411. assign V456511 = V673501 - 1. assign V442097 = V366501. assign V366501 = V172967. assign V843408 = V102024 + 1. assign V915293 = V409085 - 1. assign V082278 = V951439. assign V017105 = V417532. assign V676056 = V366501. assign V766943 = V390536. assign V916019 = V172967 - 1. assign V582244 = V400306 + 1. assign V234077 = V019330 + 1. assign V409085 = V495672 - 1. assign V644848 = V172967 + 1. assign V678212 = V165456 + 1. assign V494201 = V409085 - 1. assign V379820 = V409085 - 1. assign V483732 = V798552. assign V319001 = V067611. assign V317167 = V674753 - 1. assign V704042 = V688889. assign V417532 = V193763 - 1. assign V564676 = V483732 - 1. assign V201354 = V165456. assign V253503 = V358265 + 1. assign V358265 = V951439 + 1. assign V646418 = V220574 - 1. assign V937963 = V479768 + 1. assign V299569 = V024254 + 1. assign V112105 = V404781. assign V574039 = V951439 + 1. assign V791634 = V358265. assign V474487 = V878730 - 1. assign V193763 = V951852 + 1. assign V117184 = V390536 - 1. assign V753598 = V834452 + 1. assign V353955 = V067611. assign V252530 = 5. assign V747766 = V464763 + 1. assign V125541 = V305094. assign V459457 = V783289 + 1. assign V480426 = V001538 + 1. assign V160552 = V163136 - 1. assign V268639 = V112105 + 1. assign V279206 = V193763. assign V807257 = V017105 + 1. assign V259850 = V674753 - 1. assign V946026 = V673501 + 1. assign V248088 = V355957. assign V119752 = V404781 - 1. assign V208871 = V688889 - 1. assign V046732 = V226922 - 1. assign V495672 = V172967 + 1. assign V244548 = V172967. assign V739029 = V220574 + 1. assign V293230 = V333439 - 1. assign V752181 = V279206. assign V131535 = V869572 + 1. assign V001538 = V794396. assign V895849 = V674753. assign V673501 = V772680 - 1. assign V319558 = V269664 + 1. assign V105781 = V483732. assign V196566 = V377392. assign V688889 = V082278 + 1. assign V869477 = V574039 + 1. assign V127202 = V165456. assign V079456 = V901252 + 1. assign V573168 = V193763 + 1. assign V859219 = V791634 + 1. assign V783289 = V226922 - 1. assign V631924 = V688889 - 1. assign V555417 = V582244 - 1. assign V567826 = V807257. assign V028287 = V268639. assign V172967 = V102024 - 1. assign V220574 = V801813 - 1. assign V039393 = V102024. assign V325930 = V791634 - 1. assign V951852 = V165456 - 1. assign V989581 = V325930. assign V757395 = V937963 - 1. assign V183411 = V783218 - 1. assign V269664 = V390536 - 1. assign V610793 = V915293. assign V311829 = V304956 + 1. assign V163136 = V051713 + 1. assign V051713 = V165456 - 1. assign V762894 = V046732. assign V674753 = V226922 - 1. assign V942163 = V082278 - 1. assign V798552 = V495672 - 1. assign V967768 = V279206 + 1. assign V901252 = V727795 + 1. assign V869572 = V901252 - 1. assign V404781 = V358265. assign V211287 = V404781 - 1. assign V709321 = V762894 - 1. assign V916044 = V149582 - 1. assign V390536 = V869773 - 1. assign V603118 = V479768 - 1. assign V834452 = V366501 - 1. assign V869773 = V779689. assign V692348 = V603118 + 1. assign V727795 = V779689. assign V153752 = V843408 + 1. assign V783578 = V039393 + 1. assign V019330 = V304956 - 1. assign V205031 = V105781 - 1. assign V589469 = V226922 - 1. assign V937579 = V268639. assign V951439 = V226922 + 1. assign V626766 = V370881 - 1. assign V358718 = V127202 + 1. assign V654884 = V252530. assign V165456 = V226922 + 1. assign V579819 = V783218. assign V156411 = V226922 - 1. assign V019109 = V678480 + 1. assign V794396 = V589469 - 1. assign V959796 = V102024 + 1. assign V878730 = V951439 - 1. assign V408851 = V205031 + 1. assign V206688 = V501995 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V034136 = V801813 + 1. assign V195672 = V102024 - 1. assign V519035 = V125541 - 1. assign V816869 = V464763. assign V816265 = V678480 - 1. assign V987217 = V798552 - 1. assign V772680 = V727795 + 1. assign V531628 = V404781. assign V761290 = V304956. assign V840360 = V678212. assign V304956 = V951439. assign V102024 = V951439 + 1. assign V889093 = V165456 + 1. assign V801813 = V901252. assign V047706 = V589469 - 1. assign V569106 = V102024 - 1. assign V411815 = V051713 - 1. assign V370881 = V727795. assign V678480 = V024254. assign V572081 = V279206 - 1. assign V141933 = V779689 + 1. assign V613687 = V102024 - 1. assign V067611 = V459457. assign V377392 = V747766 - 1. assign V081679 = V937963 + 1. assign V501995 = V727795. assign V149582 = V772680 - 1. assign V204262 = V325930 + 1. assign V479768 = V366501 + 1. assign V783218 = V409085 - 1. assign V836458 = V400306 - 1. assign V355957 = V464763 - 1. assign V989566 = V377392. assign V974930 = V603118 - 1. assign V968598 = V801813 - 1. assign V893326 = V051713. assign V272444 = V305094. assign V650471 = V791634. assign V305094 = V942163 - 1. assign V370699 = V067611 - 1. assign V220736 = V404781 + 1. assign V289823 = V798552 - 1. assign V333439 = V082278. assign V472814 = V163136 - 1. assign V779689 = V495672 - 1. assign V400306 = V779689 + 1. assign V464763 = V783289 - 1. assign V024254 = V183411. assign V456511 = V673501 - 1. assign V442097 = V366501. assign V366501 = V172967. assign V843408 = V102024 + 1. assign V915293 = V409085 - 1. assign V082278 = V951439. assign V017105 = V417532. assign V676056 = V366501. assign V766943 = V390536. assign V916019 = V172967 - 1. assign V582244 = V400306 + 1. assign V234077 = V019330 + 1. assign V409085 = V495672 - 1. assign V644848 = V172967 + 1. assign V678212 = V165456 + 1. assign V494201 = V409085 - 1. assign V379820 = V409085 - 1. assign V483732 = V798552. assign V319001 = V067611. assign V317167 = V674753 - 1. assign V704042 = V688889. assign V417532 = V193763 - 1. assign V564676 = V483732 - 1. assign V201354 = V165456. assign V253503 = V358265 + 1. assign V358265 = V951439 + 1. assign V646418 = V220574 - 1. assign V937963 = V479768 + 1. assign V299569 = V024254 + 1. assign V112105 = V404781. assign V574039 = V951439 + 1. assign V791634 = V358265. assign V474487 = V878730 - 1. assign V193763 = V951852 + 1. assign V117184 = V390536 - 1. assign V753598 = V834452 + 1. assign V353955 = V067611. assign V252530 = 5. assign V747766 = V464763 + 1. assign V125541 = V305094. assign V459457 = V783289 + 1. assign V480426 = V001538 + 1. assign V160552 = V163136 - 1. assign V268639 = V112105 + 1. assign V279206 = V193763. assign V807257 = V017105 + 1. assign V259850 = V674753 - 1. assign V946026 = V673501 + 1. assign V248088 = V355957. assign V119752 = V404781 - 1. assign V208871 = V688889 - 1. assign V046732 = V226922 - 1. assign V495672 = V172967 + 1. assign V244548 = V172967. assign V739029 = V220574 + 1. assign V293230 = V333439 - 1. assign V752181 = V279206. assign V131535 = V869572 + 1. assign V001538 = V794396. assign V895849 = V674753. assign V673501 = V772680 - 1. assign V319558 = V269664 + 1. assign V105781 = V483732. assign V196566 = V377392. assign V688889 = V082278 + 1. assign V869477 = V574039 + 1. assign V127202 = V165456. assign V079456 = V901252 + 1. assign V573168 = V193763 + 1. assign V859219 = V791634 + 1. assign V783289 = V226922 - 1. assign V631924 = V688889 - 1. assign V555417 = V582244 - 1. assign V567826 = V807257. assign V028287 = V268639. assign V172967 = V102024 - 1. assign V220574 = V801813 - 1. assign V039393 = V102024. assign V325930 = V791634 - 1. assign V951852 = V165456 - 1. assign V989581 = V325930. assign V757395 = V937963 - 1. assign V183411 = V783218 - 1. assign V269664 = V390536 - 1. assign V610793 = V915293. assign V311829 = V304956 + 1. assign V163136 = V051713 + 1. assign V051713 = V165456 - 1. assign V762894 = V046732. assign V674753 = V226922 - 1. assign V942163 = V082278 - 1. assign V798552 = V495672 - 1. assign V967768 = V279206 + 1. assign V901252 = V727795 + 1. assign V869572 = V901252 - 1. assign V404781 = V358265. assign V211287 = V404781 - 1. assign V709321 = V762894 - 1. assign V916044 = V149582 - 1. assign V390536 = V869773 - 1. assign V603118 = V479768 - 1. assign V834452 = V366501 - 1. assign V869773 = V779689. assign V692348 = V603118 + 1. assign V727795 = V779689. assign V153752 = V843408 + 1. assign V783578 = V039393 + 1. assign V019330 = V304956 - 1. assign V205031 = V105781 - 1. assign V589469 = V226922 - 1. assign V937579 = V268639. assign V951439 = V226922 + 1. assign V626766 = V370881 - 1. assign V358718 = V127202 + 1. assign V654884 = V252530. assign V165456 = V226922 + 1. assign V579819 = V783218. assign V156411 = V226922 - 1. assign V019109 = V678480 + 1. assign V794396 = V589469 - 1. assign V959796 = V102024 + 1. assign V878730 = V951439 - 1. assign V408851 = V205031 + 1. assign V206688 = V501995 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV252530 = 5;\n\nFrom these direct assignment(s), we have: \nV654884 = V252530 = 5;\nNo other variables can be derived from V654884;\nNo other variables can be derived from V252530;\n\nNow we have done all the calculations. Derived variables are:\nV252530 = 5;\nV654884 = 5;\n\nNow we have finished this problem. ANSWER:\nV252530, V654884\n", "role": "assistant" } ]

[ "V670099" ]

[ { "content": "<context>\nassign V799525 = V862613 + 1. assign V632598 = V761296. assign V095936 = V975181 - 1. assign V772817 = V761296 - 1. assign V671930 = V228802 + 1. assign V952907 = V988401 - 1. assign V596064 = V441115 + 1. assign V376125 = V354743 + 1. assign V525541 = V280616. assign V594429 = V462915 + 1. assign V393214 = V862613. assign V962110 = V290369 + 1. assign V530628 = V988401 + 1. assign V476681 = V701397 - 1. assign V072968 = V757784. assign V757784 = V835641 - 1. assign V372257 = V053647. assign V976768 = V660012 - 1. assign V280616 = V988401 + 1. assign V988401 = V485706 - 1. assign V500855 = V855544 + 1. assign V855544 = V053563. assign V753368 = V855544. assign V933272 = V900062 + 1. assign V228802 = V441115 - 1. assign V407717 = V722371. assign V820409 = V454912 + 1. assign V053563 = V420856 + 1. assign V170489 = V069787 - 1. assign V863349 = V749212 + 1. assign V354743 = V749212. assign V581179 = V053563 - 1. assign V714574 = V331123 + 1. assign V142768 = V789593 - 1. assign V792469 = V717979 + 1. assign V472710 = V789593 + 1. assign V051607 = V757784 + 1. assign V290369 = V749212. assign V670099 = V383436 - 1. assign V935235 = V923790. assign V741136 = V228802. assign V477397 = V921141 + 1. assign V625391 = V933272 - 1. assign V488374 = V181771. assign V381873 = V823943. assign V921141 = V488374. assign V441115 = V181771 + 1. assign V696457 = V530628 + 1. assign V422479 = V766754 - 1. assign V543710 = V181771. assign V879904 = V753368. assign V588592 = V280616 - 1. assign V330321 = V044943 + 1. assign V835641 = V270873 + 1. assign V307894 = V257656 - 1. assign V823943 = V952907 + 1. assign V331123 = V485706 - 1. assign V378594 = V407717 + 1. assign V528469 = V471394 + 1. assign V869428 = V331668 - 1. assign V809590 = V053563 + 1. assign V632082 = V011710 - 1. assign V922603 = V799525. assign V004527 = V387589 - 1. assign V301896 = V660012. assign V723338 = V680423 - 1. assign V101676 = V290369. assign V793978 = V488374. assign V849009 = V320405 - 1. assign V923790 = V722371 + 1. assign V058387 = V525541. assign V353342 = V988401 - 1. assign V454912 = V354743 + 1. assign V320405 = V280616. assign V301999 = V053647 + 1. assign V992787 = V378594 - 1. assign V918260 = V917371 - 1. assign V692536 = V354743 + 1. assign V361592 = V355851 - 1. assign V917371 = V789593 - 1. assign V293377 = V932020 - 1. assign V104419 = V660012. assign V193499 = V211959 - 1. assign V089882 = V799525 + 1. assign V784249 = V069787 - 1. assign V468919 = V646746. assign V355851 = V624103. assign V789593 = V290369 - 1. assign V815836 = V962110 - 1. assign V471394 = V952907. assign V437553 = V594429 - 1. assign V175004 = V118871 - 1. assign V646746 = V068141. assign V096978 = V069787 - 1. assign V126296 = V468919. assign V833532 = V578689 - 1. assign V131273 = V988401 - 1. assign V701397 = V330321 + 1. assign V341540 = V454912. assign V717979 = V142768 + 1. assign V862613 = V578689 + 1. assign V080184 = V717979. assign V113509 = V223139 + 1. assign V636028 = V179607 - 1. assign V077807 = V855544 + 1. assign V439681 = V354743. assign V578689 = V962110 + 1. assign V211959 = V445331. assign V421085 = V077807 + 1. assign V075971 = V809590 + 1. assign V664048 = V596064 + 1. assign V181771 = V354743 + 1. assign V403860 = V198580 - 1. assign V420856 = V793978 - 1. assign V706887 = V588592 + 1. assign V932020 = V624103 - 1. assign V011710 = V855544 - 1. assign V013275 = V488374. assign V257656 = V680423 - 1. assign V839203 = V307894 + 1. assign V755110 = V013275 - 1. assign V069787 = V354743 + 1. assign V223139 = V717979 + 1. assign V680423 = V437553 + 1. assign V761296 = V290369 + 1. assign V474867 = V869428 - 1. assign V202661 = V142768 + 1. assign V182362 = V749212 - 1. assign V488306 = V988401. assign V798899 = V101676 - 1. assign V722371 = V863349 - 1. assign V179607 = V722371. assign V767622 = V543710 - 1. assign V749212 = V485706 + 1. assign V044943 = V080184 + 1. assign V401045 = V472710 - 1. assign V053647 = V462915 + 1. assign V665689 = V195457 - 1. assign V606486 = V118871 + 1. assign V166909 = V833532 - 1. assign V198580 = V445331 - 1. assign V387589 = V784249 + 1. assign V270873 = V354743. assign V893121 = V842050 + 1. assign V842050 = V290369. assign V331668 = V761296 + 1. assign V900062 = V988401. assign V383436 = 4. assign V462915 = V096978 + 1. assign V766754 = V646746. assign V160360 = V962110. assign V975181 = V181771 - 1. assign V624103 = V767622. assign V118871 = V543710 - 1. assign V010527 = V976768 + 1. assign V672647 = V767622 - 1. assign V503938 = V223139. assign V445331 = V578689. assign V195457 = V228802. assign V584516 = V815836 - 1. assign V746566 = V376125. assign V808358 = V387589. assign V660012 = V789593 + 1. assign V068141 = V069787 + 1. assign V458246 = V962110 + 1. assign V289442 = V053647 + 1. assign V518010 = V458246 - 1. assign V464893 = V741136. assign V441979 = V855544 + 1. assign V557186 = V863349 - 1. assign V309814 = V636028 - 1. assign V084158 = V962110.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V799525 = V862613 + 1. assign V632598 = V761296. assign V095936 = V975181 - 1. assign V772817 = V761296 - 1. assign V671930 = V228802 + 1. assign V952907 = V988401 - 1. assign V596064 = V441115 + 1. assign V376125 = V354743 + 1. assign V525541 = V280616. assign V594429 = V462915 + 1. assign V393214 = V862613. assign V962110 = V290369 + 1. assign V530628 = V988401 + 1. assign V476681 = V701397 - 1. assign V072968 = V757784. assign V757784 = V835641 - 1. assign V372257 = V053647. assign V976768 = V660012 - 1. assign V280616 = V988401 + 1. assign V988401 = V485706 - 1. assign V500855 = V855544 + 1. assign V855544 = V053563. assign V753368 = V855544. assign V933272 = V900062 + 1. assign V228802 = V441115 - 1. assign V407717 = V722371. assign V820409 = V454912 + 1. assign V053563 = V420856 + 1. assign V170489 = V069787 - 1. assign V863349 = V749212 + 1. assign V354743 = V749212. assign V581179 = V053563 - 1. assign V714574 = V331123 + 1. assign V142768 = V789593 - 1. assign V792469 = V717979 + 1. assign V472710 = V789593 + 1. assign V051607 = V757784 + 1. assign V290369 = V749212. assign V670099 = V383436 - 1. assign V935235 = V923790. assign V741136 = V228802. assign V477397 = V921141 + 1. assign V625391 = V933272 - 1. assign V488374 = V181771. assign V381873 = V823943. assign V921141 = V488374. assign V441115 = V181771 + 1. assign V696457 = V530628 + 1. assign V422479 = V766754 - 1. assign V543710 = V181771. assign V879904 = V753368. assign V588592 = V280616 - 1. assign V330321 = V044943 + 1. assign V835641 = V270873 + 1. assign V307894 = V257656 - 1. assign V823943 = V952907 + 1. assign V331123 = V485706 - 1. assign V378594 = V407717 + 1. assign V528469 = V471394 + 1. assign V869428 = V331668 - 1. assign V809590 = V053563 + 1. assign V632082 = V011710 - 1. assign V922603 = V799525. assign V004527 = V387589 - 1. assign V301896 = V660012. assign V723338 = V680423 - 1. assign V101676 = V290369. assign V793978 = V488374. assign V849009 = V320405 - 1. assign V923790 = V722371 + 1. assign V058387 = V525541. assign V353342 = V988401 - 1. assign V454912 = V354743 + 1. assign V320405 = V280616. assign V301999 = V053647 + 1. assign V992787 = V378594 - 1. assign V918260 = V917371 - 1. assign V692536 = V354743 + 1. assign V361592 = V355851 - 1. assign V917371 = V789593 - 1. assign V293377 = V932020 - 1. assign V104419 = V660012. assign V193499 = V211959 - 1. assign V089882 = V799525 + 1. assign V784249 = V069787 - 1. assign V468919 = V646746. assign V355851 = V624103. assign V789593 = V290369 - 1. assign V815836 = V962110 - 1. assign V471394 = V952907. assign V437553 = V594429 - 1. assign V175004 = V118871 - 1. assign V646746 = V068141. assign V096978 = V069787 - 1. assign V126296 = V468919. assign V833532 = V578689 - 1. assign V131273 = V988401 - 1. assign V701397 = V330321 + 1. assign V341540 = V454912. assign V717979 = V142768 + 1. assign V862613 = V578689 + 1. assign V080184 = V717979. assign V113509 = V223139 + 1. assign V636028 = V179607 - 1. assign V077807 = V855544 + 1. assign V439681 = V354743. assign V578689 = V962110 + 1. assign V211959 = V445331. assign V421085 = V077807 + 1. assign V075971 = V809590 + 1. assign V664048 = V596064 + 1. assign V181771 = V354743 + 1. assign V403860 = V198580 - 1. assign V420856 = V793978 - 1. assign V706887 = V588592 + 1. assign V932020 = V624103 - 1. assign V011710 = V855544 - 1. assign V013275 = V488374. assign V257656 = V680423 - 1. assign V839203 = V307894 + 1. assign V755110 = V013275 - 1. assign V069787 = V354743 + 1. assign V223139 = V717979 + 1. assign V680423 = V437553 + 1. assign V761296 = V290369 + 1. assign V474867 = V869428 - 1. assign V202661 = V142768 + 1. assign V182362 = V749212 - 1. assign V488306 = V988401. assign V798899 = V101676 - 1. assign V722371 = V863349 - 1. assign V179607 = V722371. assign V767622 = V543710 - 1. assign V749212 = V485706 + 1. assign V044943 = V080184 + 1. assign V401045 = V472710 - 1. assign V053647 = V462915 + 1. assign V665689 = V195457 - 1. assign V606486 = V118871 + 1. assign V166909 = V833532 - 1. assign V198580 = V445331 - 1. assign V387589 = V784249 + 1. assign V270873 = V354743. assign V893121 = V842050 + 1. assign V842050 = V290369. assign V331668 = V761296 + 1. assign V900062 = V988401. assign V383436 = 4. assign V462915 = V096978 + 1. assign V766754 = V646746. assign V160360 = V962110. assign V975181 = V181771 - 1. assign V624103 = V767622. assign V118871 = V543710 - 1. assign V010527 = V976768 + 1. assign V672647 = V767622 - 1. assign V503938 = V223139. assign V445331 = V578689. assign V195457 = V228802. assign V584516 = V815836 - 1. assign V746566 = V376125. assign V808358 = V387589. assign V660012 = V789593 + 1. assign V068141 = V069787 + 1. assign V458246 = V962110 + 1. assign V289442 = V053647 + 1. assign V518010 = V458246 - 1. assign V464893 = V741136. assign V441979 = V855544 + 1. assign V557186 = V863349 - 1. assign V309814 = V636028 - 1. assign V084158 = V962110.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV383436 = 4;\n\nFrom these direct assignment(s), we have: \nV670099 = V383436 - 1 = 4 - 1 =3;\nNo other variables can be derived from V670099;\nNo other variables can be derived from V383436;\n\nNow we have done all the calculations. Derived variables are:\nV383436 = 4;\nV670099 = 3;\n\nNow we have finished this problem. ANSWER:\nV670099\n", "role": "assistant" } ]

[ "V299102" ]

[ { "content": "<context>\nassign V888033 = V656996. assign V634085 = V960703 - 1. assign V124798 = V688932 - 1. assign V071644 = V976690 - 1. assign V499400 = V897608. assign V112562 = V321182. assign V240407 = V112562. assign V612765 = V037677 + 1. assign V904389 = V959763 - 1. assign V455925 = V037677 - 1. assign V737714 = V140485 + 1. assign V775196 = V679554 - 1. assign V421097 = V819199. assign V112671 = V169779 + 1. assign V299646 = V575186. assign V116859 = V281665 + 1. assign V336562 = V942543 + 1. assign V001726 = V904389. assign V863757 = V852807 + 1. assign V224089 = V429663 - 1. assign V418509 = V294967 - 1. assign V287997 = V821472 - 1. assign V246422 = V982611. assign V767589 = V601173 - 1. assign V172122 = V888033 - 1. assign V979510 = V941314 - 1. assign V941286 = V819199 - 1. assign V288694 = V724654. assign V889535 = V724707 - 1. assign V130981 = V111497 - 1. assign V056864 = V169779 - 1. assign V643006 = V575186 + 1. assign V258264 = V959763 + 1. assign V976690 = V656996 + 1. assign V216935 = V495517. assign V997804 = 4. assign V011169 = V295334 + 1. assign V908486 = V904389. assign V252713 = V411653 - 1. assign V679554 = V736549 + 1. assign V177792 = V924513 - 1. assign V960703 = V140485. assign V688932 = V168513. assign V295334 = V629712 - 1. assign V771249 = V078716. assign V169779 = V982611. assign V408537 = V218680 - 1. assign V254961 = V034056 - 1. assign V724707 = V615777 + 1. assign V015845 = V078716 + 1. assign V176661 = V064075 - 1. assign V944373 = V821570 + 1. assign V463601 = V112562. assign V269840 = V607278 + 1. assign V310039 = V625125 + 1. assign V168513 = V867426. assign V935967 = V096220 + 1. assign V341920 = V724707 - 1. assign V525032 = V924513 + 1. assign V052667 = V959763. assign V821472 = V852807 + 1. assign V028966 = V656996. assign V954946 = V852807. assign V258263 = V819199. assign V034056 = V906206. assign V625125 = V575186. assign V541415 = V421097. assign V242608 = V321182 + 1. assign V294967 = V053204. assign V285505 = V658322 + 1. assign V635767 = V601173 - 1. assign V218680 = V210428. assign V924513 = V769733 + 1. assign V575186 = V210428. assign V826129 = V064075 + 1. assign V210428 = V096220. assign V195804 = V078716. assign V046484 = V015845 + 1. assign V253338 = V096303 + 1. assign V629712 = V431675 + 1. assign V769733 = V821472 - 1. assign V230304 = V224089 + 1. assign V658343 = V112671 + 1. assign V151102 = V541415. assign V941314 = V298514 + 1. assign V724654 = V240407. assign V738136 = V321028. assign V739630 = V615777 - 1. assign V570620 = V281665. assign V897608 = V656996. assign V120857 = V419366. assign V566049 = V499400. assign V607278 = V499400 + 1. assign V806058 = V291685. assign V606332 = V169779 + 1. assign V053204 = V224089 + 1. assign V631461 = V625125. assign V221226 = V408537 + 1. assign V472003 = V431675 + 1. assign V300104 = V535893 - 1. assign V281665 = V720529. assign V431675 = V976690 + 1. assign V959763 = V736549 + 1. assign V792778 = V819199 - 1. assign V429555 = V408537 - 1. assign V906206 = V224089 + 1. assign V526631 = V535893 + 1. assign V453411 = V048768. assign V300791 = V124798 + 1. assign V597370 = V607071 - 1. assign V658322 = V421097 + 1. assign V919350 = V826129 - 1. assign V379370 = V037677 + 1. assign V885649 = V631461. assign V048768 = V575186 + 1. assign V720529 = V656996 + 1. assign V299102 = V997804 - 1. assign V565375 = V071644 - 1. assign V321028 = V310039 + 1. assign V117542 = V720529 - 1. assign V419366 = V337830 + 1. assign V982611 = V140485. assign V981503 = V096303 + 1. assign V078716 = V954946 - 1. assign V656996 = V819199. assign V364806 = V071644. assign V096303 = V321182 - 1. assign V615777 = V321182 + 1. assign V607071 = V210428 - 1. assign V393950 = V078716. assign V368762 = V904389 + 1. assign V866212 = V724707 - 1. assign V411653 = V064075 - 1. assign V389336 = V101158 + 1. assign V069351 = V771249 - 1. assign V634684 = V566049 + 1. assign V535893 = V720529 - 1. assign V488967 = V281665 + 1. assign V872696 = V096303 - 1. assign V558857 = V656996 - 1. assign V852807 = V321182 - 1. assign V242535 = V629712 - 1. assign V064075 = V615777 + 1. assign V532817 = V337830 - 1. assign V095668 = V935967 - 1. assign V867426 = V172122. assign V495517 = V959763. assign V140485 = V111497 - 1. assign V298514 = V210428. assign V337830 = V071644. assign V942543 = V295334 + 1. assign V821570 = V575186. assign V101158 = V852807 + 1. assign V096220 = V656996 - 1. assign V014956 = V821570 - 1. assign V597240 = V172122 + 1. assign V429663 = V615777 + 1. assign V966899 = V463601. assign V321182 = V905750 - 1. assign V455663 = V463601. assign V601173 = V852807. assign V291685 = V168513. assign V871454 = V535893. assign V858384 = V078716 + 1. assign V691689 = V888033 - 1. assign V111497 = V905750 - 1. assign V406139 = V629712 - 1. assign V819199 = V863757. assign V037677 = V906206. assign V065548 = V597240. assign V093104 = V566049 + 1. assign V736549 = V321182 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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 V888033 = V656996. assign V634085 = V960703 - 1. assign V124798 = V688932 - 1. assign V071644 = V976690 - 1. assign V499400 = V897608. assign V112562 = V321182. assign V240407 = V112562. assign V612765 = V037677 + 1. assign V904389 = V959763 - 1. assign V455925 = V037677 - 1. assign V737714 = V140485 + 1. assign V775196 = V679554 - 1. assign V421097 = V819199. assign V112671 = V169779 + 1. assign V299646 = V575186. assign V116859 = V281665 + 1. assign V336562 = V942543 + 1. assign V001726 = V904389. assign V863757 = V852807 + 1. assign V224089 = V429663 - 1. assign V418509 = V294967 - 1. assign V287997 = V821472 - 1. assign V246422 = V982611. assign V767589 = V601173 - 1. assign V172122 = V888033 - 1. assign V979510 = V941314 - 1. assign V941286 = V819199 - 1. assign V288694 = V724654. assign V889535 = V724707 - 1. assign V130981 = V111497 - 1. assign V056864 = V169779 - 1. assign V643006 = V575186 + 1. assign V258264 = V959763 + 1. assign V976690 = V656996 + 1. assign V216935 = V495517. assign V997804 = 4. assign V011169 = V295334 + 1. assign V908486 = V904389. assign V252713 = V411653 - 1. assign V679554 = V736549 + 1. assign V177792 = V924513 - 1. assign V960703 = V140485. assign V688932 = V168513. assign V295334 = V629712 - 1. assign V771249 = V078716. assign V169779 = V982611. assign V408537 = V218680 - 1. assign V254961 = V034056 - 1. assign V724707 = V615777 + 1. assign V015845 = V078716 + 1. assign V176661 = V064075 - 1. assign V944373 = V821570 + 1. assign V463601 = V112562. assign V269840 = V607278 + 1. assign V310039 = V625125 + 1. assign V168513 = V867426. assign V935967 = V096220 + 1. assign V341920 = V724707 - 1. assign V525032 = V924513 + 1. assign V052667 = V959763. assign V821472 = V852807 + 1. assign V028966 = V656996. assign V954946 = V852807. assign V258263 = V819199. assign V034056 = V906206. assign V625125 = V575186. assign V541415 = V421097. assign V242608 = V321182 + 1. assign V294967 = V053204. assign V285505 = V658322 + 1. assign V635767 = V601173 - 1. assign V218680 = V210428. assign V924513 = V769733 + 1. assign V575186 = V210428. assign V826129 = V064075 + 1. assign V210428 = V096220. assign V195804 = V078716. assign V046484 = V015845 + 1. assign V253338 = V096303 + 1. assign V629712 = V431675 + 1. assign V769733 = V821472 - 1. assign V230304 = V224089 + 1. assign V658343 = V112671 + 1. assign V151102 = V541415. assign V941314 = V298514 + 1. assign V724654 = V240407. assign V738136 = V321028. assign V739630 = V615777 - 1. assign V570620 = V281665. assign V897608 = V656996. assign V120857 = V419366. assign V566049 = V499400. assign V607278 = V499400 + 1. assign V806058 = V291685. assign V606332 = V169779 + 1. assign V053204 = V224089 + 1. assign V631461 = V625125. assign V221226 = V408537 + 1. assign V472003 = V431675 + 1. assign V300104 = V535893 - 1. assign V281665 = V720529. assign V431675 = V976690 + 1. assign V959763 = V736549 + 1. assign V792778 = V819199 - 1. assign V429555 = V408537 - 1. assign V906206 = V224089 + 1. assign V526631 = V535893 + 1. assign V453411 = V048768. assign V300791 = V124798 + 1. assign V597370 = V607071 - 1. assign V658322 = V421097 + 1. assign V919350 = V826129 - 1. assign V379370 = V037677 + 1. assign V885649 = V631461. assign V048768 = V575186 + 1. assign V720529 = V656996 + 1. assign V299102 = V997804 - 1. assign V565375 = V071644 - 1. assign V321028 = V310039 + 1. assign V117542 = V720529 - 1. assign V419366 = V337830 + 1. assign V982611 = V140485. assign V981503 = V096303 + 1. assign V078716 = V954946 - 1. assign V656996 = V819199. assign V364806 = V071644. assign V096303 = V321182 - 1. assign V615777 = V321182 + 1. assign V607071 = V210428 - 1. assign V393950 = V078716. assign V368762 = V904389 + 1. assign V866212 = V724707 - 1. assign V411653 = V064075 - 1. assign V389336 = V101158 + 1. assign V069351 = V771249 - 1. assign V634684 = V566049 + 1. assign V535893 = V720529 - 1. assign V488967 = V281665 + 1. assign V872696 = V096303 - 1. assign V558857 = V656996 - 1. assign V852807 = V321182 - 1. assign V242535 = V629712 - 1. assign V064075 = V615777 + 1. assign V532817 = V337830 - 1. assign V095668 = V935967 - 1. assign V867426 = V172122. assign V495517 = V959763. assign V140485 = V111497 - 1. assign V298514 = V210428. assign V337830 = V071644. assign V942543 = V295334 + 1. assign V821570 = V575186. assign V101158 = V852807 + 1. assign V096220 = V656996 - 1. assign V014956 = V821570 - 1. assign V597240 = V172122 + 1. assign V429663 = V615777 + 1. assign V966899 = V463601. assign V321182 = V905750 - 1. assign V455663 = V463601. assign V601173 = V852807. assign V291685 = V168513. assign V871454 = V535893. assign V858384 = V078716 + 1. assign V691689 = V888033 - 1. assign V111497 = V905750 - 1. assign V406139 = V629712 - 1. assign V819199 = V863757. assign V037677 = V906206. assign V065548 = V597240. assign V093104 = V566049 + 1. assign V736549 = V321182 - 1.\n</context>\n\nThe context contains relationships between variables. These relationships are independent mathematical 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):\nV997804 = 4;\n\nFrom these direct assignment(s), we have: \nV299102 = V997804 - 1 = 4 - 1 =3;\nNo other variables can be derived from V299102;\nNo other variables can be derived from V997804;\n\nNow we have done all the calculations. Derived variables are:\nV997804 = 4;\nV299102 = 3;\n\nNow we have finished this problem. ANSWER:\nV299102\n", "role": "assistant" } ]