problem stringlengths 9.91k 10.2k | question stringclasses 17
values | solution stringlengths 1.06k 1.2k | op int64 10 10 | n int64 352 352 | length int64 4k 4k | id int64 0 5k | d int64 1 1 | answer_q int64 -3 13 | answer_list listlengths 1 9 | messages listlengths 1 1 | conversation listlengths 2 2 | total_lines int64 351 351 | sparsity float64 0.03 0.03 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
assign V895159 = V717320. assign V227897 = V471353 - 1. assign V153483 = V236110 - 1. assign V221794 = V258314. assign V867944 = V717320 - 1. assign V656402 = V153737 - 1. assign V693111 = V228371 + 1. assign V437270 = V994121 - 1. assign V064198 = V892829 + 1. assign V513615 = V853509 + 1. assign V523529 = V102857 + 1... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 8.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V766189 = 8;
From these direct assignment(s), we have:
V113166 = V766189 = 8;
V791079 = V113166 - 1 = 8 - 1 =7;
No other variables can be derived from V791079;
No other variables can be derived from V113166;
V273468 = V766189 - 1 = 8 - 1 =7;
V309319 = V273468 + 1 = 7 + 1 =8... | 10 | 352 | 4,000 | 100 | 1 | 8 | [
"V766189",
"V094956",
"V309319",
"V829901",
"V113166",
"V651456",
"V415766"
] | [
{
"content": "<context>\nassign V895159 = V717320. assign V227897 = V471353 - 1. assign V153483 = V236110 - 1. assign V221794 = V258314. assign V867944 = V717320 - 1. assign V656402 = V153737 - 1. assign V693111 = V228371 + 1. assign V437270 = V994121 - 1. assign V064198 = V892829 + 1. assign V513615 = V853509 ... | [
{
"content": "<context>\nassign V895159 = V717320. assign V227897 = V471353 - 1. assign V153483 = V236110 - 1. assign V221794 = V258314. assign V867944 = V717320 - 1. assign V656402 = V153737 - 1. assign V693111 = V228371 + 1. assign V437270 = V994121 - 1. assign V064198 = V892829 + 1. assign V513615 = V853509 ... | 351 | 0.02849 |
assign V281511 = V556558 - 1. assign V336835 = V356943 - 1. assign V980350 = V283710. assign V334389 = V501958 - 1. assign V689989 = V839085. assign V544929 = V429539 - 1. assign V536792 = V707843 + 1. assign V832617 = V794284. assign V201695 = V981416 + 1. assign V684683 = V168375. assign V998303 = V910991. assign V93... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 1.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V837278 = 3;
From these direct assignment(s), we have:
V485421 = V837278 = 3;
V864581 = V485421 + 1 = 3 + 1 =4;
V585256 = V864581 = 4;
No other variables can be derived from V585256;
No other variables can be derived from V864581;
V785024 = V485421 + 1 = 3 + 1 =4;
No other ... | 10 | 352 | 4,000 | 101 | 1 | 1 | [
"V888291"
] | [
{
"content": "<context>\nassign V281511 = V556558 - 1. assign V336835 = V356943 - 1. assign V980350 = V283710. assign V334389 = V501958 - 1. assign V689989 = V839085. assign V544929 = V429539 - 1. assign V536792 = V707843 + 1. assign V832617 = V794284. assign V201695 = V981416 + 1. assign V684683 = V168375. ass... | [
{
"content": "<context>\nassign V281511 = V556558 - 1. assign V336835 = V356943 - 1. assign V980350 = V283710. assign V334389 = V501958 - 1. assign V689989 = V839085. assign V544929 = V429539 - 1. assign V536792 = V707843 + 1. assign V832617 = V794284. assign V201695 = V981416 + 1. assign V684683 = V168375. ass... | 351 | 0.02849 |
assign V443130 = V442571 - 1. assign V391826 = V234031 + 1. assign V181191 = V436636 + 1. assign V317156 = V913957 - 1. assign V858535 = V940273. assign V735787 = V516651 - 1. assign V321630 = V517885. assign V105712 = V500689. assign V727445 = V715611 + 1. assign V487800 = V619520 + 1. assign V756920 = V913790. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 10.
Show your step-by-step reasoning and calculations, ... | First, there are such direct assignment(s):
V381141 = 10;
From these direct assignment(s), we have:
V569417 = V381141 - 1 = 10 - 1 =9;
V955473 = V569417 + 1 = 9 + 1 =10;
No other variables can be derived from V955473;
No other variables can be derived from V569417;
V083260 = V381141 - 1 = 10 - 1 =9;
V322505 = V083260... | 10 | 352 | 4,000 | 102 | 1 | 10 | [
"V381141",
"V709934",
"V955473"
] | [
{
"content": "<context>\nassign V443130 = V442571 - 1. assign V391826 = V234031 + 1. assign V181191 = V436636 + 1. assign V317156 = V913957 - 1. assign V858535 = V940273. assign V735787 = V516651 - 1. assign V321630 = V517885. assign V105712 = V500689. assign V727445 = V715611 + 1. assign V487800 = V619520 + 1.... | [
{
"content": "<context>\nassign V443130 = V442571 - 1. assign V391826 = V234031 + 1. assign V181191 = V436636 + 1. assign V317156 = V913957 - 1. assign V858535 = V940273. assign V735787 = V516651 - 1. assign V321630 = V517885. assign V105712 = V500689. assign V727445 = V715611 + 1. assign V487800 = V619520 + 1.... | 351 | 0.02849 |
assign V480606 = V166604 + 1. assign V526840 = V166604 - 1. assign V644354 = V151443 - 1. assign V819425 = V995126 + 1. assign V458564 = V644071 - 1. assign V513296 = V143946 - 1. assign V330754 = V535663 - 1. assign V116087 = V549310. assign V600818 = V553932. assign V167405 = V694194 + 1. assign V717145 = V576449 + 1... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 11.
Show your step-by-step reasoning and calculations, ... | First, there are such direct assignment(s):
V694194 = 9;
From these direct assignment(s), we have:
V852296 = V694194 - 1 = 9 - 1 =8;
No other variables can be derived from V852296;
V935238 = V694194 + 1 = 9 + 1 =10;
No other variables can be derived from V935238;
V167405 = V694194 + 1 = 9 + 1 =10;
V344964 = V167405 -... | 10 | 352 | 4,000 | 103 | 1 | 11 | [
"V712112",
"V175994"
] | [
{
"content": "<context>\nassign V480606 = V166604 + 1. assign V526840 = V166604 - 1. assign V644354 = V151443 - 1. assign V819425 = V995126 + 1. assign V458564 = V644071 - 1. assign V513296 = V143946 - 1. assign V330754 = V535663 - 1. assign V116087 = V549310. assign V600818 = V553932. assign V167405 = V694194 ... | [
{
"content": "<context>\nassign V480606 = V166604 + 1. assign V526840 = V166604 - 1. assign V644354 = V151443 - 1. assign V819425 = V995126 + 1. assign V458564 = V644071 - 1. assign V513296 = V143946 - 1. assign V330754 = V535663 - 1. assign V116087 = V549310. assign V600818 = V553932. assign V167405 = V694194 ... | 351 | 0.02849 |
assign V524635 = V676110 - 1. assign V844738 = V225899. assign V151936 = V309330. assign V850706 = V858327 + 1. assign V950289 = V264775 - 1. assign V687228 = V953614. assign V460432 = V777751 - 1. assign V668070 = V881323 + 1. assign V264470 = V324126 - 1. assign V727979 = V399631. assign V895092 = V141542 - 1. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 7.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V790417 = 8;
From these direct assignment(s), we have:
V052057 = V790417 - 1 = 8 - 1 =7;
V472708 = V052057 + 1 = 7 + 1 =8;
No other variables can be derived from V472708;
No other variables can be derived from V052057;
V440343 = V790417 - 1 = 8 - 1 =7;
V881323 = V440343 - 1... | 10 | 352 | 4,000 | 104 | 1 | 7 | [
"V440343",
"V052057",
"V668070"
] | [
{
"content": "<context>\nassign V524635 = V676110 - 1. assign V844738 = V225899. assign V151936 = V309330. assign V850706 = V858327 + 1. assign V950289 = V264775 - 1. assign V687228 = V953614. assign V460432 = V777751 - 1. assign V668070 = V881323 + 1. assign V264470 = V324126 - 1. assign V727979 = V399631. ass... | [
{
"content": "<context>\nassign V524635 = V676110 - 1. assign V844738 = V225899. assign V151936 = V309330. assign V850706 = V858327 + 1. assign V950289 = V264775 - 1. assign V687228 = V953614. assign V460432 = V777751 - 1. assign V668070 = V881323 + 1. assign V264470 = V324126 - 1. assign V727979 = V399631. ass... | 351 | 0.02849 |
assign V625402 = V174780 + 1. assign V132338 = V297975 - 1. assign V593921 = V386298 + 1. assign V262104 = V235011. assign V240089 = V334643 - 1. assign V674181 = V315291 + 1. assign V583906 = V334643. assign V547056 = V681554 - 1. assign V458133 = V269284. assign V721283 = V583906 + 1. assign V582427 = V221791. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 2.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V761699 = 1;
From these direct assignment(s), we have:
V915313 = V761699 + 1 = 1 + 1 =2;
V110253 = V915313 = 2;
No other variables can be derived from V110253;
V624052 = V915313 = 2;
V057919 = V624052 = 2;
V694291 = V057919 - 1 = 2 - 1 =1;
No other variables can be derived ... | 10 | 352 | 4,000 | 105 | 1 | 2 | [
"V915313",
"V624052",
"V110253",
"V784945",
"V057919",
"V731262"
] | [
{
"content": "<context>\nassign V625402 = V174780 + 1. assign V132338 = V297975 - 1. assign V593921 = V386298 + 1. assign V262104 = V235011. assign V240089 = V334643 - 1. assign V674181 = V315291 + 1. assign V583906 = V334643. assign V547056 = V681554 - 1. assign V458133 = V269284. assign V721283 = V583906 + 1.... | [
{
"content": "<context>\nassign V625402 = V174780 + 1. assign V132338 = V297975 - 1. assign V593921 = V386298 + 1. assign V262104 = V235011. assign V240089 = V334643 - 1. assign V674181 = V315291 + 1. assign V583906 = V334643. assign V547056 = V681554 - 1. assign V458133 = V269284. assign V721283 = V583906 + 1.... | 351 | 0.02849 |
assign V449623 = V912015 + 1. assign V867269 = V395944 + 1. assign V195481 = V331187 - 1. assign V250151 = V383443 - 1. assign V655561 = V253994. assign V210388 = V677201 - 1. assign V860238 = V744128 - 1. assign V505156 = V741625. assign V226545 = V091107 - 1. assign V908642 = V693439. assign V557561 = V492948. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 0.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V349416 = 4;
From these direct assignment(s), we have:
V739084 = V349416 - 1 = 4 - 1 =3;
V840198 = V739084 - 1 = 3 - 1 =2;
No other variables can be derived from V840198;
V084146 = V739084 - 1 = 3 - 1 =2;
V930812 = V084146 = 2;
No other variables can be derived from V930812... | 10 | 352 | 4,000 | 106 | 1 | 0 | [
"V780159"
] | [
{
"content": "<context>\nassign V449623 = V912015 + 1. assign V867269 = V395944 + 1. assign V195481 = V331187 - 1. assign V250151 = V383443 - 1. assign V655561 = V253994. assign V210388 = V677201 - 1. assign V860238 = V744128 - 1. assign V505156 = V741625. assign V226545 = V091107 - 1. assign V908642 = V693439.... | [
{
"content": "<context>\nassign V449623 = V912015 + 1. assign V867269 = V395944 + 1. assign V195481 = V331187 - 1. assign V250151 = V383443 - 1. assign V655561 = V253994. assign V210388 = V677201 - 1. assign V860238 = V744128 - 1. assign V505156 = V741625. assign V226545 = V091107 - 1. assign V908642 = V693439.... | 351 | 0.02849 |
assign V656643 = V326677. assign V837954 = V612534. assign V681923 = V273533 + 1. assign V781568 = V986874 + 1. assign V822362 = V806336. assign V534381 = V717593. assign V386090 = V391456 - 1. assign V845930 = V821548. assign V326677 = V442859 + 1. assign V273848 = V644271. assign V612534 = V463047. assign V733195 = V... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 4.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V958745 = 3;
From these direct assignment(s), we have:
V921333 = V958745 = 3;
V564721 = V921333 = 3;
No other variables can be derived from V564721;
V312739 = V921333 + 1 = 3 + 1 =4;
No other variables can be derived from V312739;
V368643 = V921333 = 3;
V279371 = V368643 + ... | 10 | 352 | 4,000 | 107 | 1 | 4 | [
"V312739",
"V279371"
] | [
{
"content": "<context>\nassign V656643 = V326677. assign V837954 = V612534. assign V681923 = V273533 + 1. assign V781568 = V986874 + 1. assign V822362 = V806336. assign V534381 = V717593. assign V386090 = V391456 - 1. assign V845930 = V821548. assign V326677 = V442859 + 1. assign V273848 = V644271. assign V612... | [
{
"content": "<context>\nassign V656643 = V326677. assign V837954 = V612534. assign V681923 = V273533 + 1. assign V781568 = V986874 + 1. assign V822362 = V806336. assign V534381 = V717593. assign V386090 = V391456 - 1. assign V845930 = V821548. assign V326677 = V442859 + 1. assign V273848 = V644271. assign V612... | 351 | 0.02849 |
assign V272713 = V304580 + 1. assign V319713 = V598052. assign V131356 = V184224 - 1. assign V359604 = V845586 + 1. assign V714839 = V506328. assign V346067 = V047351. assign V023482 = V266979 + 1. assign V868916 = V103687 - 1. assign V474705 = V266979 - 1. assign V796879 = V156136. assign V693713 = V100283 + 1. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 2.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V186609 = 3;
From these direct assignment(s), we have:
V395765 = V186609 + 1 = 3 + 1 =4;
No other variables can be derived from V395765;
V279538 = V186609 - 1 = 3 - 1 =2;
V952242 = V279538 = 2;
No other variables can be derived from V952242;
No other variables can be derive... | 10 | 352 | 4,000 | 108 | 1 | 2 | [
"V652888",
"V279538",
"V775973",
"V952242",
"V095194"
] | [
{
"content": "<context>\nassign V272713 = V304580 + 1. assign V319713 = V598052. assign V131356 = V184224 - 1. assign V359604 = V845586 + 1. assign V714839 = V506328. assign V346067 = V047351. assign V023482 = V266979 + 1. assign V868916 = V103687 - 1. assign V474705 = V266979 - 1. assign V796879 = V156136. ass... | [
{
"content": "<context>\nassign V272713 = V304580 + 1. assign V319713 = V598052. assign V131356 = V184224 - 1. assign V359604 = V845586 + 1. assign V714839 = V506328. assign V346067 = V047351. assign V023482 = V266979 + 1. assign V868916 = V103687 - 1. assign V474705 = V266979 - 1. assign V796879 = V156136. ass... | 351 | 0.02849 |
assign V011451 = V502060 + 1. assign V894453 = V363200 + 1. assign V201504 = V829903 + 1. assign V716514 = V201465. assign V965197 = V861837 + 1. assign V681060 = V139453 + 1. assign V311360 = V843845 - 1. assign V623140 = V668315. assign V754601 = V450912 - 1. assign V683127 = V131784. assign V553694 = V262710 + 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 8.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V399412 = 7;
From these direct assignment(s), we have:
V654501 = V399412 + 1 = 7 + 1 =8;
V183328 = V654501 + 1 = 8 + 1 =9;
V511326 = V183328 = 9;
V004618 = V511326 = 9;
No other variables can be derived from V004618;
No other variables can be derived from V511326;
V338084 =... | 10 | 352 | 4,000 | 109 | 1 | 8 | [
"V654501",
"V338084",
"V311134"
] | [
{
"content": "<context>\nassign V011451 = V502060 + 1. assign V894453 = V363200 + 1. assign V201504 = V829903 + 1. assign V716514 = V201465. assign V965197 = V861837 + 1. assign V681060 = V139453 + 1. assign V311360 = V843845 - 1. assign V623140 = V668315. assign V754601 = V450912 - 1. assign V683127 = V131784.... | [
{
"content": "<context>\nassign V011451 = V502060 + 1. assign V894453 = V363200 + 1. assign V201504 = V829903 + 1. assign V716514 = V201465. assign V965197 = V861837 + 1. assign V681060 = V139453 + 1. assign V311360 = V843845 - 1. assign V623140 = V668315. assign V754601 = V450912 - 1. assign V683127 = V131784.... | 351 | 0.02849 |
assign V025715 = V447130. assign V784729 = V740448 - 1. assign V120485 = V813167 + 1. assign V749243 = V257773 - 1. assign V567879 = V517550 + 1. assign V672652 = V407846 + 1. assign V434360 = V863145 - 1. assign V886828 = V935834 - 1. assign V793632 = V011838 + 1. assign V784028 = V150975. assign V277659 = V878562 - 1... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 1.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V348691 = 2;
From these direct assignment(s), we have:
V233994 = V348691 - 1 = 2 - 1 =1;
V841204 = V233994 - 1 = 1 - 1 =0;
V466260 = V841204 + 1 = 0 + 1 =1;
No other variables can be derived from V466260;
No other variables can be derived from V841204;
V731861 = V233994 = 1... | 10 | 352 | 4,000 | 110 | 1 | 1 | [
"V233994",
"V731861",
"V466260",
"V336460"
] | [
{
"content": "<context>\nassign V025715 = V447130. assign V784729 = V740448 - 1. assign V120485 = V813167 + 1. assign V749243 = V257773 - 1. assign V567879 = V517550 + 1. assign V672652 = V407846 + 1. assign V434360 = V863145 - 1. assign V886828 = V935834 - 1. assign V793632 = V011838 + 1. assign V784028 = V150... | [
{
"content": "<context>\nassign V025715 = V447130. assign V784729 = V740448 - 1. assign V120485 = V813167 + 1. assign V749243 = V257773 - 1. assign V567879 = V517550 + 1. assign V672652 = V407846 + 1. assign V434360 = V863145 - 1. assign V886828 = V935834 - 1. assign V793632 = V011838 + 1. assign V784028 = V150... | 351 | 0.02849 |
assign V304350 = V901339 - 1. assign V172671 = V747438 + 1. assign V159227 = V555577 + 1. assign V097771 = V532933 - 1. assign V027167 = V097771 + 1. assign V289476 = V115307 + 1. assign V039618 = V043896 + 1. assign V598914 = V968978. assign V271717 = V188370. assign V343786 = V732425 + 1. assign V520743 = V319696. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 8.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V923546 = 7;
From these direct assignment(s), we have:
V371792 = V923546 + 1 = 7 + 1 =8;
No other variables can be derived from V371792;
V588584 = V923546 + 1 = 7 + 1 =8;
V809290 = V588584 + 1 = 8 + 1 =9;
V178866 = V809290 + 1 = 9 + 1 =10;
No other variables can be derived ... | 10 | 352 | 4,000 | 111 | 1 | 8 | [
"V588584",
"V371792",
"V601118"
] | [
{
"content": "<context>\nassign V304350 = V901339 - 1. assign V172671 = V747438 + 1. assign V159227 = V555577 + 1. assign V097771 = V532933 - 1. assign V027167 = V097771 + 1. assign V289476 = V115307 + 1. assign V039618 = V043896 + 1. assign V598914 = V968978. assign V271717 = V188370. assign V343786 = V732425 ... | [
{
"content": "<context>\nassign V304350 = V901339 - 1. assign V172671 = V747438 + 1. assign V159227 = V555577 + 1. assign V097771 = V532933 - 1. assign V027167 = V097771 + 1. assign V289476 = V115307 + 1. assign V039618 = V043896 + 1. assign V598914 = V968978. assign V271717 = V188370. assign V343786 = V732425 ... | 351 | 0.02849 |
assign V036859 = V071642 - 1. assign V855590 = V499885 + 1. assign V358562 = V967601. assign V378406 = V412756 - 1. assign V244011 = V903269. assign V876985 = V845825. assign V973303 = V813420 + 1. assign V482322 = V373218 + 1. assign V903269 = V650642 + 1. assign V166463 = V235226 - 1. assign V580607 = V036859. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 1.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V390753 = 0;
From these direct assignment(s), we have:
V819910 = V390753 + 1 = 0 + 1 =1;
No other variables can be derived from V819910;
V138732 = V390753 - 1 = 0 - 1 =-1;
V522911 = V138732 - 1 = -1 - 1 =-2;
V114506 = V522911 = -2;
No other variables can be derived from V11... | 10 | 352 | 4,000 | 112 | 1 | 1 | [
"V688677",
"V819910"
] | [
{
"content": "<context>\nassign V036859 = V071642 - 1. assign V855590 = V499885 + 1. assign V358562 = V967601. assign V378406 = V412756 - 1. assign V244011 = V903269. assign V876985 = V845825. assign V973303 = V813420 + 1. assign V482322 = V373218 + 1. assign V903269 = V650642 + 1. assign V166463 = V235226 - 1.... | [
{
"content": "<context>\nassign V036859 = V071642 - 1. assign V855590 = V499885 + 1. assign V358562 = V967601. assign V378406 = V412756 - 1. assign V244011 = V903269. assign V876985 = V845825. assign V973303 = V813420 + 1. assign V482322 = V373218 + 1. assign V903269 = V650642 + 1. assign V166463 = V235226 - 1.... | 351 | 0.02849 |
assign V566224 = V966601 + 1. assign V596698 = V165560 + 1. assign V374054 = V972315. assign V554756 = V857366. assign V085216 = V408276 - 1. assign V517104 = V420313 - 1. assign V454701 = V285926 - 1. assign V506393 = V183962. assign V824869 = V183962. assign V813437 = V959270 + 1. assign V644993 = V701723 - 1. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 9.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V930696 = 9;
From these direct assignment(s), we have:
V386063 = V930696 + 1 = 9 + 1 =10;
No other variables can be derived from V386063;
V754428 = V930696 - 1 = 9 - 1 =8;
V639594 = V754428 = 8;
No other variables can be derived from V639594;
V421018 = V754428 = 8;
V468349 ... | 10 | 352 | 4,000 | 113 | 1 | 9 | [
"V930696",
"V711626",
"V468349",
"V785491"
] | [
{
"content": "<context>\nassign V566224 = V966601 + 1. assign V596698 = V165560 + 1. assign V374054 = V972315. assign V554756 = V857366. assign V085216 = V408276 - 1. assign V517104 = V420313 - 1. assign V454701 = V285926 - 1. assign V506393 = V183962. assign V824869 = V183962. assign V813437 = V959270 + 1. ass... | [
{
"content": "<context>\nassign V566224 = V966601 + 1. assign V596698 = V165560 + 1. assign V374054 = V972315. assign V554756 = V857366. assign V085216 = V408276 - 1. assign V517104 = V420313 - 1. assign V454701 = V285926 - 1. assign V506393 = V183962. assign V824869 = V183962. assign V813437 = V959270 + 1. ass... | 351 | 0.02849 |
assign V809522 = V523306. assign V743045 = V582208 + 1. assign V640412 = V003822 + 1. assign V426286 = V679320 + 1. assign V139199 = V021661. assign V337305 = V106633 + 1. assign V412881 = V234562 + 1. assign V731139 = V776241 - 1. assign V777955 = V013286. assign V849620 = V062710 - 1. assign V458473 = V213391 - 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 10.
Show your step-by-step reasoning and calculations, ... | First, there are such direct assignment(s):
V062710 = 9;
From these direct assignment(s), we have:
V970728 = V062710 + 1 = 9 + 1 =10;
V345352 = V970728 = 10;
V845705 = V345352 = 10;
No other variables can be derived from V845705;
No other variables can be derived from V345352;
No other variables can be derived from V... | 10 | 352 | 4,000 | 114 | 1 | 10 | [
"V970728",
"V273484",
"V345352",
"V845705"
] | [
{
"content": "<context>\nassign V809522 = V523306. assign V743045 = V582208 + 1. assign V640412 = V003822 + 1. assign V426286 = V679320 + 1. assign V139199 = V021661. assign V337305 = V106633 + 1. assign V412881 = V234562 + 1. assign V731139 = V776241 - 1. assign V777955 = V013286. assign V849620 = V062710 - 1.... | [
{
"content": "<context>\nassign V809522 = V523306. assign V743045 = V582208 + 1. assign V640412 = V003822 + 1. assign V426286 = V679320 + 1. assign V139199 = V021661. assign V337305 = V106633 + 1. assign V412881 = V234562 + 1. assign V731139 = V776241 - 1. assign V777955 = V013286. assign V849620 = V062710 - 1.... | 351 | 0.02849 |
assign V936334 = V713699 + 1. assign V640688 = V577720 + 1. assign V798160 = V523926. assign V449388 = V180133. assign V534583 = V349889 - 1. assign V686621 = V727841. assign V655913 = V106890. assign V408796 = V517948. assign V644301 = V617778 + 1. assign V135117 = V578927 + 1. assign V220027 = V390873 + 1. assign V97... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 0.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V712664 = 1;
From these direct assignment(s), we have:
V591500 = V712664 - 1 = 1 - 1 =0;
V247120 = V591500 = 0;
No other variables can be derived from V247120;
V320200 = V591500 = 0;
No other variables can be derived from V320200;
V993599 = V591500 + 1 = 0 + 1 =1;
V701565 =... | 10 | 352 | 4,000 | 115 | 1 | 0 | [
"V591500",
"V088566",
"V245868",
"V247120",
"V320200",
"V701565"
] | [
{
"content": "<context>\nassign V936334 = V713699 + 1. assign V640688 = V577720 + 1. assign V798160 = V523926. assign V449388 = V180133. assign V534583 = V349889 - 1. assign V686621 = V727841. assign V655913 = V106890. assign V408796 = V517948. assign V644301 = V617778 + 1. assign V135117 = V578927 + 1. assign ... | [
{
"content": "<context>\nassign V936334 = V713699 + 1. assign V640688 = V577720 + 1. assign V798160 = V523926. assign V449388 = V180133. assign V534583 = V349889 - 1. assign V686621 = V727841. assign V655913 = V106890. assign V408796 = V517948. assign V644301 = V617778 + 1. assign V135117 = V578927 + 1. assign ... | 351 | 0.02849 |
assign V434256 = V100906. assign V628766 = V854475 - 1. assign V912758 = V773383. assign V394192 = V999001 - 1. assign V523131 = V468117 + 1. assign V743119 = V851054 + 1. assign V951810 = V687222. assign V104406 = V322269 + 1. assign V281835 = V177069 - 1. assign V652869 = V287542. assign V493926 = V646148. assign V86... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 8.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V428000 = 7;
From these direct assignment(s), we have:
V788571 = V428000 + 1 = 7 + 1 =8;
No other variables can be derived from V788571;
V582303 = V428000 + 1 = 7 + 1 =8;
V860491 = V582303 + 1 = 8 + 1 =9;
No other variables can be derived from V860491;
V396943 = V582303 - 1... | 10 | 352 | 4,000 | 116 | 1 | 8 | [
"V582303",
"V788571",
"V575115"
] | [
{
"content": "<context>\nassign V434256 = V100906. assign V628766 = V854475 - 1. assign V912758 = V773383. assign V394192 = V999001 - 1. assign V523131 = V468117 + 1. assign V743119 = V851054 + 1. assign V951810 = V687222. assign V104406 = V322269 + 1. assign V281835 = V177069 - 1. assign V652869 = V287542. ass... | [
{
"content": "<context>\nassign V434256 = V100906. assign V628766 = V854475 - 1. assign V912758 = V773383. assign V394192 = V999001 - 1. assign V523131 = V468117 + 1. assign V743119 = V851054 + 1. assign V951810 = V687222. assign V104406 = V322269 + 1. assign V281835 = V177069 - 1. assign V652869 = V287542. ass... | 351 | 0.02849 |
assign V788792 = V223080. assign V678494 = V582010 - 1. assign V611421 = V013133. assign V783672 = V943694. assign V781667 = V966377. assign V062456 = V247975 - 1. assign V890995 = V581144 - 1. assign V488279 = V760607 + 1. assign V514679 = V943694 + 1. assign V463723 = V440394 + 1. assign V601416 = V033463. assign V83... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 3.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V917877 = 3;
From these direct assignment(s), we have:
V655830 = V917877 + 1 = 3 + 1 =4;
V676981 = V655830 - 1 = 4 - 1 =3;
V735808 = V676981 + 1 = 3 + 1 =4;
V329458 = V735808 = 4;
No other variables can be derived from V329458;
No other variables can be derived from V735808... | 10 | 352 | 4,000 | 117 | 1 | 3 | [
"V917877",
"V344562",
"V676981"
] | [
{
"content": "<context>\nassign V788792 = V223080. assign V678494 = V582010 - 1. assign V611421 = V013133. assign V783672 = V943694. assign V781667 = V966377. assign V062456 = V247975 - 1. assign V890995 = V581144 - 1. assign V488279 = V760607 + 1. assign V514679 = V943694 + 1. assign V463723 = V440394 + 1. ass... | [
{
"content": "<context>\nassign V788792 = V223080. assign V678494 = V582010 - 1. assign V611421 = V013133. assign V783672 = V943694. assign V781667 = V966377. assign V062456 = V247975 - 1. assign V890995 = V581144 - 1. assign V488279 = V760607 + 1. assign V514679 = V943694 + 1. assign V463723 = V440394 + 1. ass... | 351 | 0.02849 |
assign V621562 = V731202 - 1. assign V620830 = V418339 + 1. assign V834208 = V312214. assign V328022 = V204291. assign V310107 = V700074. assign V518000 = V647452. assign V237778 = V679202. assign V978359 = V364842. assign V779292 = V772521 - 1. assign V144034 = V703481 + 1. assign V842101 = V596367 + 1. assign V723104... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 5.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V700074 = 6;
From these direct assignment(s), we have:
V609616 = V700074 - 1 = 6 - 1 =5;
No other variables can be derived from V609616;
V466648 = V700074 + 1 = 6 + 1 =7;
V295838 = V466648 - 1 = 7 - 1 =6;
V050257 = V295838 + 1 = 6 + 1 =7;
No other variables can be derived f... | 10 | 352 | 4,000 | 118 | 1 | 5 | [
"V524281",
"V609616"
] | [
{
"content": "<context>\nassign V621562 = V731202 - 1. assign V620830 = V418339 + 1. assign V834208 = V312214. assign V328022 = V204291. assign V310107 = V700074. assign V518000 = V647452. assign V237778 = V679202. assign V978359 = V364842. assign V779292 = V772521 - 1. assign V144034 = V703481 + 1. assign V842... | [
{
"content": "<context>\nassign V621562 = V731202 - 1. assign V620830 = V418339 + 1. assign V834208 = V312214. assign V328022 = V204291. assign V310107 = V700074. assign V518000 = V647452. assign V237778 = V679202. assign V978359 = V364842. assign V779292 = V772521 - 1. assign V144034 = V703481 + 1. assign V842... | 351 | 0.02849 |
assign V192140 = V169709 - 1. assign V980223 = V383733. assign V981236 = V887753 + 1. assign V184152 = V022325 + 1. assign V708402 = V100891 + 1. assign V659756 = V550097. assign V140703 = V482560 - 1. assign V599789 = V074702. assign V235773 = V919258 - 1. assign V168740 = V037881 - 1. assign V408323 = V411397 - 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 6.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V019670 = 6;
From these direct assignment(s), we have:
V947897 = V019670 + 1 = 6 + 1 =7;
V256767 = V947897 - 1 = 7 - 1 =6;
No other variables can be derived from V256767;
No other variables can be derived from V947897;
V808094 = V019670 + 1 = 6 + 1 =7;
V153272 = V808094 - 1... | 10 | 352 | 4,000 | 119 | 1 | 6 | [
"V019670",
"V840084",
"V814848",
"V153272",
"V256767"
] | [
{
"content": "<context>\nassign V192140 = V169709 - 1. assign V980223 = V383733. assign V981236 = V887753 + 1. assign V184152 = V022325 + 1. assign V708402 = V100891 + 1. assign V659756 = V550097. assign V140703 = V482560 - 1. assign V599789 = V074702. assign V235773 = V919258 - 1. assign V168740 = V037881 - 1.... | [
{
"content": "<context>\nassign V192140 = V169709 - 1. assign V980223 = V383733. assign V981236 = V887753 + 1. assign V184152 = V022325 + 1. assign V708402 = V100891 + 1. assign V659756 = V550097. assign V140703 = V482560 - 1. assign V599789 = V074702. assign V235773 = V919258 - 1. assign V168740 = V037881 - 1.... | 351 | 0.02849 |
assign V097293 = V830288 + 1. assign V218664 = V779236. assign V884900 = V897670 + 1. assign V616970 = V221357 - 1. assign V076327 = V157632 - 1. assign V080047 = V222450. assign V697143 = V228859. assign V627446 = V895493 - 1. assign V543093 = V596529 - 1. assign V679547 = V194183 - 1. assign V341711 = V194183. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 5.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V147341 = 7;
From these direct assignment(s), we have:
V760757 = V147341 - 1 = 7 - 1 =6;
V883098 = V760757 = 6;
V799694 = V883098 + 1 = 6 + 1 =7;
No other variables can be derived from V799694;
No other variables can be derived from V883098;
No other variables can be derive... | 10 | 352 | 4,000 | 120 | 1 | 5 | [
"V268287"
] | [
{
"content": "<context>\nassign V097293 = V830288 + 1. assign V218664 = V779236. assign V884900 = V897670 + 1. assign V616970 = V221357 - 1. assign V076327 = V157632 - 1. assign V080047 = V222450. assign V697143 = V228859. assign V627446 = V895493 - 1. assign V543093 = V596529 - 1. assign V679547 = V194183 - 1.... | [
{
"content": "<context>\nassign V097293 = V830288 + 1. assign V218664 = V779236. assign V884900 = V897670 + 1. assign V616970 = V221357 - 1. assign V076327 = V157632 - 1. assign V080047 = V222450. assign V697143 = V228859. assign V627446 = V895493 - 1. assign V543093 = V596529 - 1. assign V679547 = V194183 - 1.... | 351 | 0.02849 |
assign V304277 = V787806 - 1. assign V317649 = V800203 + 1. assign V104138 = V963135 - 1. assign V162134 = V104138 + 1. assign V022930 = V107211 + 1. assign V687489 = V809439 + 1. assign V038208 = V094666. assign V797031 = V967440 - 1. assign V267459 = V850676 + 1. assign V932069 = V787806. assign V400652 = V921852. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 7.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V059187 = 8;
From these direct assignment(s), we have:
V906669 = V059187 - 1 = 8 - 1 =7;
V855124 = V906669 + 1 = 7 + 1 =8;
No other variables can be derived from V855124;
V054688 = V906669 = 7;
No other variables can be derived from V054688;
V715939 = V906669 + 1 = 7 + 1 =8... | 10 | 352 | 4,000 | 121 | 1 | 7 | [
"V906669",
"V743661",
"V054688",
"V074493"
] | [
{
"content": "<context>\nassign V304277 = V787806 - 1. assign V317649 = V800203 + 1. assign V104138 = V963135 - 1. assign V162134 = V104138 + 1. assign V022930 = V107211 + 1. assign V687489 = V809439 + 1. assign V038208 = V094666. assign V797031 = V967440 - 1. assign V267459 = V850676 + 1. assign V932069 = V787... | [
{
"content": "<context>\nassign V304277 = V787806 - 1. assign V317649 = V800203 + 1. assign V104138 = V963135 - 1. assign V162134 = V104138 + 1. assign V022930 = V107211 + 1. assign V687489 = V809439 + 1. assign V038208 = V094666. assign V797031 = V967440 - 1. assign V267459 = V850676 + 1. assign V932069 = V787... | 351 | 0.02849 |
assign V373887 = V476198 - 1. assign V653710 = V069739 + 1. assign V237627 = V591726 + 1. assign V365607 = V937353. assign V060174 = V753820. assign V924102 = V093286. assign V082370 = V433968 + 1. assign V541979 = V111193 + 1. assign V346528 = V070146 + 1. assign V879378 = V776209 + 1. assign V518397 = V328925 - 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 4.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V451699 = 4;
From these direct assignment(s), we have:
V070146 = V451699 = 4;
V400453 = V070146 = 4;
V110052 = V400453 = 4;
No other variables can be derived from V110052;
No other variables can be derived from V400453;
V937353 = V070146 + 1 = 4 + 1 =5;
V688109 = V937353 - ... | 10 | 352 | 4,000 | 122 | 1 | 4 | [
"V451699",
"V070146",
"V400453",
"V688109",
"V110052"
] | [
{
"content": "<context>\nassign V373887 = V476198 - 1. assign V653710 = V069739 + 1. assign V237627 = V591726 + 1. assign V365607 = V937353. assign V060174 = V753820. assign V924102 = V093286. assign V082370 = V433968 + 1. assign V541979 = V111193 + 1. assign V346528 = V070146 + 1. assign V879378 = V776209 + 1.... | [
{
"content": "<context>\nassign V373887 = V476198 - 1. assign V653710 = V069739 + 1. assign V237627 = V591726 + 1. assign V365607 = V937353. assign V060174 = V753820. assign V924102 = V093286. assign V082370 = V433968 + 1. assign V541979 = V111193 + 1. assign V346528 = V070146 + 1. assign V879378 = V776209 + 1.... | 351 | 0.02849 |
assign V207498 = V006924 + 1. assign V958434 = V294776. assign V908574 = V319485 - 1. assign V883423 = V322801. assign V020161 = V775867 + 1. assign V418221 = V331704 + 1. assign V511907 = V293931 - 1. assign V304290 = V985109 - 1. assign V719242 = V710734. assign V987708 = V418221 - 1. assign V365581 = V348714 - 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 5.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V992597 = 6;
From these direct assignment(s), we have:
V942934 = V992597 - 1 = 6 - 1 =5;
V527282 = V942934 - 1 = 5 - 1 =4;
No other variables can be derived from V527282;
No other variables can be derived from V942934;
V710734 = V992597 = 6;
V748895 = V710734 = 6;
V454067 =... | 10 | 352 | 4,000 | 123 | 1 | 5 | [
"V942934",
"V282866",
"V138637",
"V955103",
"V454067"
] | [
{
"content": "<context>\nassign V207498 = V006924 + 1. assign V958434 = V294776. assign V908574 = V319485 - 1. assign V883423 = V322801. assign V020161 = V775867 + 1. assign V418221 = V331704 + 1. assign V511907 = V293931 - 1. assign V304290 = V985109 - 1. assign V719242 = V710734. assign V987708 = V418221 - 1.... | [
{
"content": "<context>\nassign V207498 = V006924 + 1. assign V958434 = V294776. assign V908574 = V319485 - 1. assign V883423 = V322801. assign V020161 = V775867 + 1. assign V418221 = V331704 + 1. assign V511907 = V293931 - 1. assign V304290 = V985109 - 1. assign V719242 = V710734. assign V987708 = V418221 - 1.... | 351 | 0.02849 |
assign V941630 = V071129. assign V335316 = V613209. assign V970929 = V531126 - 1. assign V677449 = V811724 + 1. assign V564066 = V551601 + 1. assign V458556 = V710103 - 1. assign V613209 = V844894. assign V178553 = V147431. assign V125378 = V165763 + 1. assign V236275 = V571618 - 1. assign V045698 = V566972 - 1. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 2.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V403798 = 2;
From these direct assignment(s), we have:
V330139 = V403798 - 1 = 2 - 1 =1;
V946812 = V330139 + 1 = 1 + 1 =2;
No other variables can be derived from V946812;
No other variables can be derived from V330139;
V001539 = V403798 + 1 = 2 + 1 =3;
V713173 = V001539 - 1... | 10 | 352 | 4,000 | 124 | 1 | 2 | [
"V403798",
"V713173",
"V019600",
"V731412",
"V946812",
"V143754"
] | [
{
"content": "<context>\nassign V941630 = V071129. assign V335316 = V613209. assign V970929 = V531126 - 1. assign V677449 = V811724 + 1. assign V564066 = V551601 + 1. assign V458556 = V710103 - 1. assign V613209 = V844894. assign V178553 = V147431. assign V125378 = V165763 + 1. assign V236275 = V571618 - 1. ass... | [
{
"content": "<context>\nassign V941630 = V071129. assign V335316 = V613209. assign V970929 = V531126 - 1. assign V677449 = V811724 + 1. assign V564066 = V551601 + 1. assign V458556 = V710103 - 1. assign V613209 = V844894. assign V178553 = V147431. assign V125378 = V165763 + 1. assign V236275 = V571618 - 1. ass... | 351 | 0.02849 |
assign V874908 = V847676. assign V296577 = V505767. assign V391355 = V895120 + 1. assign V023726 = V262941 - 1. assign V026661 = V804707 - 1. assign V537091 = V383189 - 1. assign V525748 = V313044. assign V285185 = V742427. assign V666702 = V433606. assign V087901 = V947825 + 1. assign V572447 = V930692 - 1. assign V56... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 8.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V848979 = 7;
From these direct assignment(s), we have:
V402314 = V848979 + 1 = 7 + 1 =8;
V270871 = V402314 = 8;
No other variables can be derived from V270871;
No other variables can be derived from V402314;
V653223 = V848979 + 1 = 7 + 1 =8;
V983636 = V653223 = 8;
No other ... | 10 | 352 | 4,000 | 125 | 1 | 8 | [
"V692492",
"V653223",
"V832875",
"V402314",
"V270871",
"V983636"
] | [
{
"content": "<context>\nassign V874908 = V847676. assign V296577 = V505767. assign V391355 = V895120 + 1. assign V023726 = V262941 - 1. assign V026661 = V804707 - 1. assign V537091 = V383189 - 1. assign V525748 = V313044. assign V285185 = V742427. assign V666702 = V433606. assign V087901 = V947825 + 1. assign ... | [
{
"content": "<context>\nassign V874908 = V847676. assign V296577 = V505767. assign V391355 = V895120 + 1. assign V023726 = V262941 - 1. assign V026661 = V804707 - 1. assign V537091 = V383189 - 1. assign V525748 = V313044. assign V285185 = V742427. assign V666702 = V433606. assign V087901 = V947825 + 1. assign ... | 351 | 0.02849 |
assign V845908 = V314041 + 1. assign V069150 = V678847 + 1. assign V514237 = V638065. assign V677972 = V260621 + 1. assign V491259 = V143222. assign V545019 = V915237 + 1. assign V783849 = V502644. assign V067865 = V894910. assign V964344 = V564736 - 1. assign V594541 = V648742. assign V235152 = V419190 + 1. assign V01... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 9.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V973519 = 10;
From these direct assignment(s), we have:
V190615 = V973519 = 10;
No other variables can be derived from V190615;
V928229 = V973519 = 10;
V977421 = V928229 - 1 = 10 - 1 =9;
No other variables can be derived from V977421;
V910594 = V928229 = 10;
V945842 = V9105... | 10 | 352 | 4,000 | 126 | 1 | 9 | [
"V977421"
] | [
{
"content": "<context>\nassign V845908 = V314041 + 1. assign V069150 = V678847 + 1. assign V514237 = V638065. assign V677972 = V260621 + 1. assign V491259 = V143222. assign V545019 = V915237 + 1. assign V783849 = V502644. assign V067865 = V894910. assign V964344 = V564736 - 1. assign V594541 = V648742. assign ... | [
{
"content": "<context>\nassign V845908 = V314041 + 1. assign V069150 = V678847 + 1. assign V514237 = V638065. assign V677972 = V260621 + 1. assign V491259 = V143222. assign V545019 = V915237 + 1. assign V783849 = V502644. assign V067865 = V894910. assign V964344 = V564736 - 1. assign V594541 = V648742. assign ... | 351 | 0.02849 |
assign V839795 = V930956 + 1. assign V926456 = V839795 - 1. assign V237862 = V792159 - 1. assign V324582 = V907709 - 1. assign V918966 = V828008. assign V904056 = V716148 + 1. assign V865699 = V271866 - 1. assign V639736 = V449372 + 1. assign V449423 = V691043. assign V100698 = V144378. assign V816207 = V828008. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 8.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V672011 = 9;
From these direct assignment(s), we have:
V514075 = V672011 - 1 = 9 - 1 =8;
V184989 = V514075 = 8;
V862375 = V184989 - 1 = 8 - 1 =7;
V164051 = V862375 + 1 = 7 + 1 =8;
No other variables can be derived from V164051;
No other variables can be derived from V862375... | 10 | 352 | 4,000 | 127 | 1 | 8 | [
"V514075",
"V184989",
"V311393",
"V164051",
"V003173"
] | [
{
"content": "<context>\nassign V839795 = V930956 + 1. assign V926456 = V839795 - 1. assign V237862 = V792159 - 1. assign V324582 = V907709 - 1. assign V918966 = V828008. assign V904056 = V716148 + 1. assign V865699 = V271866 - 1. assign V639736 = V449372 + 1. assign V449423 = V691043. assign V100698 = V144378.... | [
{
"content": "<context>\nassign V839795 = V930956 + 1. assign V926456 = V839795 - 1. assign V237862 = V792159 - 1. assign V324582 = V907709 - 1. assign V918966 = V828008. assign V904056 = V716148 + 1. assign V865699 = V271866 - 1. assign V639736 = V449372 + 1. assign V449423 = V691043. assign V100698 = V144378.... | 351 | 0.02849 |
assign V328600 = V195319 + 1. assign V761526 = V154709 + 1. assign V493775 = V243310 - 1. assign V004749 = V682327. assign V388953 = V559070 - 1. assign V893890 = V018688 + 1. assign V981346 = V052138 - 1. assign V111541 = V229296. assign V232622 = V046865. assign V124695 = V878837 + 1. assign V860552 = V994056 - 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 9.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V363577 = 8;
From these direct assignment(s), we have:
V776172 = V363577 - 1 = 8 - 1 =7;
V168427 = V776172 = 7;
No other variables can be derived from V168427;
V191193 = V776172 = 7;
No other variables can be derived from V191193;
No other variables can be derived from V776... | 10 | 352 | 4,000 | 128 | 1 | 9 | [
"V351464",
"V176009",
"V067548"
] | [
{
"content": "<context>\nassign V328600 = V195319 + 1. assign V761526 = V154709 + 1. assign V493775 = V243310 - 1. assign V004749 = V682327. assign V388953 = V559070 - 1. assign V893890 = V018688 + 1. assign V981346 = V052138 - 1. assign V111541 = V229296. assign V232622 = V046865. assign V124695 = V878837 + 1.... | [
{
"content": "<context>\nassign V328600 = V195319 + 1. assign V761526 = V154709 + 1. assign V493775 = V243310 - 1. assign V004749 = V682327. assign V388953 = V559070 - 1. assign V893890 = V018688 + 1. assign V981346 = V052138 - 1. assign V111541 = V229296. assign V232622 = V046865. assign V124695 = V878837 + 1.... | 351 | 0.02849 |
assign V926797 = V069012 + 1. assign V520739 = V309164 - 1. assign V927077 = V760083. assign V255057 = V396870 - 1. assign V286510 = V905080 + 1. assign V394760 = V652691 - 1. assign V304542 = V517615. assign V597726 = V283533. assign V591127 = V215322 + 1. assign V747280 = V628328 - 1. assign V986601 = V194923 - 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 9.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V573277 = 9;
From these direct assignment(s), we have:
V072771 = V573277 - 1 = 9 - 1 =8;
V675263 = V072771 + 1 = 8 + 1 =9;
V165782 = V675263 = 9;
V432309 = V165782 - 1 = 9 - 1 =8;
V761984 = V432309 + 1 = 8 + 1 =9;
V347776 = V761984 + 1 = 9 + 1 =10;
No other variables can be... | 10 | 352 | 4,000 | 129 | 1 | 9 | [
"V573277",
"V024384",
"V675263",
"V165782",
"V761984"
] | [
{
"content": "<context>\nassign V926797 = V069012 + 1. assign V520739 = V309164 - 1. assign V927077 = V760083. assign V255057 = V396870 - 1. assign V286510 = V905080 + 1. assign V394760 = V652691 - 1. assign V304542 = V517615. assign V597726 = V283533. assign V591127 = V215322 + 1. assign V747280 = V628328 - 1.... | [
{
"content": "<context>\nassign V926797 = V069012 + 1. assign V520739 = V309164 - 1. assign V927077 = V760083. assign V255057 = V396870 - 1. assign V286510 = V905080 + 1. assign V394760 = V652691 - 1. assign V304542 = V517615. assign V597726 = V283533. assign V591127 = V215322 + 1. assign V747280 = V628328 - 1.... | 351 | 0.02849 |
assign V261499 = V819434. assign V135464 = V605398 + 1. assign V565661 = V767442. assign V523378 = V890527 - 1. assign V840053 = V145059. assign V400556 = V318152 - 1. assign V716200 = V621607 - 1. assign V558052 = V338138 - 1. assign V657528 = V352457 - 1. assign V442275 = V605398 - 1. assign V087856 = V359428. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 8.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V239906 = 5;
From these direct assignment(s), we have:
V391249 = V239906 - 1 = 5 - 1 =4;
V642659 = V391249 - 1 = 4 - 1 =3;
No other variables can be derived from V642659;
V806331 = V391249 + 1 = 4 + 1 =5;
V282671 = V806331 - 1 = 5 - 1 =4;
No other variables can be derived f... | 10 | 352 | 4,000 | 130 | 1 | 8 | [
"V531591"
] | [
{
"content": "<context>\nassign V261499 = V819434. assign V135464 = V605398 + 1. assign V565661 = V767442. assign V523378 = V890527 - 1. assign V840053 = V145059. assign V400556 = V318152 - 1. assign V716200 = V621607 - 1. assign V558052 = V338138 - 1. assign V657528 = V352457 - 1. assign V442275 = V605398 - 1.... | [
{
"content": "<context>\nassign V261499 = V819434. assign V135464 = V605398 + 1. assign V565661 = V767442. assign V523378 = V890527 - 1. assign V840053 = V145059. assign V400556 = V318152 - 1. assign V716200 = V621607 - 1. assign V558052 = V338138 - 1. assign V657528 = V352457 - 1. assign V442275 = V605398 - 1.... | 351 | 0.02849 |
assign V022850 = V353824. assign V034634 = V626630 + 1. assign V137961 = V932340 - 1. assign V964803 = V193948 - 1. assign V652269 = V670601 - 1. assign V795290 = V323422 - 1. assign V960407 = V470633 + 1. assign V025552 = V808731. assign V093178 = V118983. assign V652159 = V758566 + 1. assign V636384 = V797735. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 8.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V450161 = 8;
From these direct assignment(s), we have:
V817775 = V450161 = 8;
V263534 = V817775 - 1 = 8 - 1 =7;
V583535 = V263534 = 7;
No other variables can be derived from V583535;
No other variables can be derived from V263534;
No other variables can be derived from V817... | 10 | 352 | 4,000 | 131 | 1 | 8 | [
"V450161",
"V817775",
"V706614"
] | [
{
"content": "<context>\nassign V022850 = V353824. assign V034634 = V626630 + 1. assign V137961 = V932340 - 1. assign V964803 = V193948 - 1. assign V652269 = V670601 - 1. assign V795290 = V323422 - 1. assign V960407 = V470633 + 1. assign V025552 = V808731. assign V093178 = V118983. assign V652159 = V758566 + 1.... | [
{
"content": "<context>\nassign V022850 = V353824. assign V034634 = V626630 + 1. assign V137961 = V932340 - 1. assign V964803 = V193948 - 1. assign V652269 = V670601 - 1. assign V795290 = V323422 - 1. assign V960407 = V470633 + 1. assign V025552 = V808731. assign V093178 = V118983. assign V652159 = V758566 + 1.... | 351 | 0.02849 |
assign V390457 = V894648. assign V947014 = V664293. assign V304871 = V642740 - 1. assign V651101 = V090860. assign V446360 = V741985. assign V584161 = V573916. assign V612620 = V913041 - 1. assign V369039 = V942066 - 1. assign V573916 = V584369 + 1. assign V363540 = V637206 - 1. assign V685293 = V025789 - 1. assign V01... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 1.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V983198 = 2;
From these direct assignment(s), we have:
V747666 = V983198 = 2;
V240497 = V747666 = 2;
No other variables can be derived from V240497;
No other variables can be derived from V747666;
V488069 = V983198 = 2;
No other variables can be derived from V488069;
V99939... | 10 | 352 | 4,000 | 132 | 1 | 1 | [
"V999395",
"V878905",
"V855176",
"V825187"
] | [
{
"content": "<context>\nassign V390457 = V894648. assign V947014 = V664293. assign V304871 = V642740 - 1. assign V651101 = V090860. assign V446360 = V741985. assign V584161 = V573916. assign V612620 = V913041 - 1. assign V369039 = V942066 - 1. assign V573916 = V584369 + 1. assign V363540 = V637206 - 1. assign ... | [
{
"content": "<context>\nassign V390457 = V894648. assign V947014 = V664293. assign V304871 = V642740 - 1. assign V651101 = V090860. assign V446360 = V741985. assign V584161 = V573916. assign V612620 = V913041 - 1. assign V369039 = V942066 - 1. assign V573916 = V584369 + 1. assign V363540 = V637206 - 1. assign ... | 351 | 0.02849 |
assign V791424 = V992771 - 1. assign V469754 = V494630 - 1. assign V298895 = V916543. assign V146740 = V351044 + 1. assign V527630 = V655924. assign V968128 = V262738 + 1. assign V245922 = V022998. assign V854834 = V353143 + 1. assign V540133 = V663618 - 1. assign V352636 = V461057. assign V176741 = V447096 - 1. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 1.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V153244 = 3;
From these direct assignment(s), we have:
V142476 = V153244 + 1 = 3 + 1 =4;
No other variables can be derived from V142476;
V295845 = V153244 - 1 = 3 - 1 =2;
V434501 = V295845 - 1 = 2 - 1 =1;
No other variables can be derived from V434501;
No other variables ca... | 10 | 352 | 4,000 | 133 | 1 | 1 | [
"V485852",
"V434501"
] | [
{
"content": "<context>\nassign V791424 = V992771 - 1. assign V469754 = V494630 - 1. assign V298895 = V916543. assign V146740 = V351044 + 1. assign V527630 = V655924. assign V968128 = V262738 + 1. assign V245922 = V022998. assign V854834 = V353143 + 1. assign V540133 = V663618 - 1. assign V352636 = V461057. ass... | [
{
"content": "<context>\nassign V791424 = V992771 - 1. assign V469754 = V494630 - 1. assign V298895 = V916543. assign V146740 = V351044 + 1. assign V527630 = V655924. assign V968128 = V262738 + 1. assign V245922 = V022998. assign V854834 = V353143 + 1. assign V540133 = V663618 - 1. assign V352636 = V461057. ass... | 351 | 0.02849 |
assign V912533 = V256024 - 1. assign V511205 = V060013 - 1. assign V636050 = V351232. assign V450681 = V451505 - 1. assign V504458 = V836820 - 1. assign V125623 = V563141. assign V209314 = V325986. assign V769166 = V351232 - 1. assign V743091 = V711827 + 1. assign V826076 = V563141 + 1. assign V918064 = V919546 + 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 7.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V910598 = 5;
From these direct assignment(s), we have:
V651103 = V910598 + 1 = 5 + 1 =6;
V298312 = V651103 + 1 = 6 + 1 =7;
V601746 = V298312 + 1 = 7 + 1 =8;
No other variables can be derived from V601746;
No other variables can be derived from V298312;
V021856 = V651103 + 1... | 10 | 352 | 4,000 | 134 | 1 | 7 | [
"V298312",
"V541707",
"V021856"
] | [
{
"content": "<context>\nassign V912533 = V256024 - 1. assign V511205 = V060013 - 1. assign V636050 = V351232. assign V450681 = V451505 - 1. assign V504458 = V836820 - 1. assign V125623 = V563141. assign V209314 = V325986. assign V769166 = V351232 - 1. assign V743091 = V711827 + 1. assign V826076 = V563141 + 1.... | [
{
"content": "<context>\nassign V912533 = V256024 - 1. assign V511205 = V060013 - 1. assign V636050 = V351232. assign V450681 = V451505 - 1. assign V504458 = V836820 - 1. assign V125623 = V563141. assign V209314 = V325986. assign V769166 = V351232 - 1. assign V743091 = V711827 + 1. assign V826076 = V563141 + 1.... | 351 | 0.02849 |
assign V425470 = V627090. assign V959732 = V520063 - 1. assign V623564 = V375090 + 1. assign V061058 = V517509 + 1. assign V850750 = V236650. assign V520063 = V351762 + 1. assign V923889 = V129744. assign V473264 = V414975 + 1. assign V228266 = V776273 - 1. assign V927941 = V897273. assign V475689 = V229552. assign V28... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 1.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V900018 = 0;
From these direct assignment(s), we have:
V959215 = V900018 + 1 = 0 + 1 =1;
V644344 = V959215 + 1 = 1 + 1 =2;
V860591 = V644344 - 1 = 2 - 1 =1;
No other variables can be derived from V860591;
No other variables can be derived from V644344;
No other variables ca... | 10 | 352 | 4,000 | 135 | 1 | 1 | [
"V335841",
"V959215",
"V850877",
"V860591",
"V768848"
] | [
{
"content": "<context>\nassign V425470 = V627090. assign V959732 = V520063 - 1. assign V623564 = V375090 + 1. assign V061058 = V517509 + 1. assign V850750 = V236650. assign V520063 = V351762 + 1. assign V923889 = V129744. assign V473264 = V414975 + 1. assign V228266 = V776273 - 1. assign V927941 = V897273. ass... | [
{
"content": "<context>\nassign V425470 = V627090. assign V959732 = V520063 - 1. assign V623564 = V375090 + 1. assign V061058 = V517509 + 1. assign V850750 = V236650. assign V520063 = V351762 + 1. assign V923889 = V129744. assign V473264 = V414975 + 1. assign V228266 = V776273 - 1. assign V927941 = V897273. ass... | 351 | 0.02849 |
assign V944115 = V412346. assign V766340 = V383588. assign V709682 = V675293. assign V903826 = V770329 + 1. assign V894800 = V685109 - 1. assign V030878 = V788384 + 1. assign V495454 = V040386. assign V586050 = V531045. assign V531045 = V165847 + 1. assign V311221 = V675293. assign V359375 = V293602 - 1. assign V569350... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 6.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V861166 = 6;
From these direct assignment(s), we have:
V101562 = V861166 + 1 = 6 + 1 =7;
V102801 = V101562 - 1 = 7 - 1 =6;
V368833 = V102801 + 1 = 6 + 1 =7;
No other variables can be derived from V368833;
V320332 = V102801 + 1 = 6 + 1 =7;
No other variables can be derived f... | 10 | 352 | 4,000 | 136 | 1 | 6 | [
"V861166",
"V102801",
"V886698",
"V900476"
] | [
{
"content": "<context>\nassign V944115 = V412346. assign V766340 = V383588. assign V709682 = V675293. assign V903826 = V770329 + 1. assign V894800 = V685109 - 1. assign V030878 = V788384 + 1. assign V495454 = V040386. assign V586050 = V531045. assign V531045 = V165847 + 1. assign V311221 = V675293. assign V359... | [
{
"content": "<context>\nassign V944115 = V412346. assign V766340 = V383588. assign V709682 = V675293. assign V903826 = V770329 + 1. assign V894800 = V685109 - 1. assign V030878 = V788384 + 1. assign V495454 = V040386. assign V586050 = V531045. assign V531045 = V165847 + 1. assign V311221 = V675293. assign V359... | 351 | 0.02849 |
assign V140828 = V938305 - 1. assign V079404 = V375353 + 1. assign V130582 = V879622. assign V684633 = V241705 + 1. assign V912886 = V402618 - 1. assign V236109 = V656628 + 1. assign V317134 = V059552. assign V183479 = V683703 - 1. assign V457476 = V779325 - 1. assign V295751 = V714403. assign V313576 = V550984 + 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 6.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V362026 = 6;
From these direct assignment(s), we have:
V065451 = V362026 = 6;
No other variables can be derived from V065451;
V501035 = V362026 - 1 = 6 - 1 =5;
V799842 = V501035 - 1 = 5 - 1 =4;
No other variables can be derived from V799842;
No other variables can be derive... | 10 | 352 | 4,000 | 137 | 1 | 6 | [
"V362026",
"V065451",
"V748329",
"V267750",
"V492124"
] | [
{
"content": "<context>\nassign V140828 = V938305 - 1. assign V079404 = V375353 + 1. assign V130582 = V879622. assign V684633 = V241705 + 1. assign V912886 = V402618 - 1. assign V236109 = V656628 + 1. assign V317134 = V059552. assign V183479 = V683703 - 1. assign V457476 = V779325 - 1. assign V295751 = V714403.... | [
{
"content": "<context>\nassign V140828 = V938305 - 1. assign V079404 = V375353 + 1. assign V130582 = V879622. assign V684633 = V241705 + 1. assign V912886 = V402618 - 1. assign V236109 = V656628 + 1. assign V317134 = V059552. assign V183479 = V683703 - 1. assign V457476 = V779325 - 1. assign V295751 = V714403.... | 351 | 0.02849 |
assign V604427 = V749124 + 1. assign V434943 = V550843 + 1. assign V534778 = V327979 - 1. assign V419243 = V171553. assign V682438 = V256797. assign V516539 = V247512 + 1. assign V434428 = V737282 + 1. assign V836674 = V984400. assign V418650 = V656642 + 1. assign V862498 = V213891. assign V451795 = V675739 + 1. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 1.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V147891 = 1;
From these direct assignment(s), we have:
V429974 = V147891 + 1 = 1 + 1 =2;
V971381 = V429974 + 1 = 2 + 1 =3;
No other variables can be derived from V971381;
No other variables can be derived from V429974;
V780037 = V147891 + 1 = 1 + 1 =2;
V778745 = V780037 = 2... | 10 | 352 | 4,000 | 138 | 1 | 1 | [
"V147891",
"V251936",
"V060390"
] | [
{
"content": "<context>\nassign V604427 = V749124 + 1. assign V434943 = V550843 + 1. assign V534778 = V327979 - 1. assign V419243 = V171553. assign V682438 = V256797. assign V516539 = V247512 + 1. assign V434428 = V737282 + 1. assign V836674 = V984400. assign V418650 = V656642 + 1. assign V862498 = V213891. ass... | [
{
"content": "<context>\nassign V604427 = V749124 + 1. assign V434943 = V550843 + 1. assign V534778 = V327979 - 1. assign V419243 = V171553. assign V682438 = V256797. assign V516539 = V247512 + 1. assign V434428 = V737282 + 1. assign V836674 = V984400. assign V418650 = V656642 + 1. assign V862498 = V213891. ass... | 351 | 0.02849 |
assign V607707 = V974989 - 1. assign V441934 = V260553 - 1. assign V128694 = V508047 - 1. assign V450400 = V908915 + 1. assign V641356 = V171917 + 1. assign V274328 = V586277 + 1. assign V971902 = V533709 + 1. assign V308726 = V064670 + 1. assign V447421 = V356318 - 1. assign V120171 = V587729 + 1. assign V676373 = V67... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 2.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V879039 = 1;
From these direct assignment(s), we have:
V908915 = V879039 + 1 = 1 + 1 =2;
V237043 = V908915 = 2;
V019011 = V237043 - 1 = 2 - 1 =1;
V241904 = V019011 + 1 = 1 + 1 =2;
V553223 = V241904 - 1 = 2 - 1 =1;
No other variables can be derived from V553223;
No other var... | 10 | 352 | 4,000 | 139 | 1 | 2 | [
"V908915",
"V237043",
"V241904"
] | [
{
"content": "<context>\nassign V607707 = V974989 - 1. assign V441934 = V260553 - 1. assign V128694 = V508047 - 1. assign V450400 = V908915 + 1. assign V641356 = V171917 + 1. assign V274328 = V586277 + 1. assign V971902 = V533709 + 1. assign V308726 = V064670 + 1. assign V447421 = V356318 - 1. assign V120171 = ... | [
{
"content": "<context>\nassign V607707 = V974989 - 1. assign V441934 = V260553 - 1. assign V128694 = V508047 - 1. assign V450400 = V908915 + 1. assign V641356 = V171917 + 1. assign V274328 = V586277 + 1. assign V971902 = V533709 + 1. assign V308726 = V064670 + 1. assign V447421 = V356318 - 1. assign V120171 = ... | 351 | 0.02849 |
assign V825126 = V060326. assign V428622 = V312334 + 1. assign V328959 = V130806. assign V417117 = V318261 - 1. assign V283117 = V620531. assign V125359 = V086571 + 1. assign V371345 = V137823 - 1. assign V234134 = V629542. assign V991387 = V359617 + 1. assign V180769 = V262650 + 1. assign V280790 = V882627. assign V05... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 7.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V337788 = 9;
From these direct assignment(s), we have:
V130806 = V337788 - 1 = 9 - 1 =8;
V527381 = V130806 = 8;
No other variables can be derived from V527381;
V855721 = V130806 - 1 = 8 - 1 =7;
No other variables can be derived from V855721;
V291576 = V130806 + 1 = 8 + 1 =9... | 10 | 352 | 4,000 | 140 | 1 | 7 | [
"V855721"
] | [
{
"content": "<context>\nassign V825126 = V060326. assign V428622 = V312334 + 1. assign V328959 = V130806. assign V417117 = V318261 - 1. assign V283117 = V620531. assign V125359 = V086571 + 1. assign V371345 = V137823 - 1. assign V234134 = V629542. assign V991387 = V359617 + 1. assign V180769 = V262650 + 1. ass... | [
{
"content": "<context>\nassign V825126 = V060326. assign V428622 = V312334 + 1. assign V328959 = V130806. assign V417117 = V318261 - 1. assign V283117 = V620531. assign V125359 = V086571 + 1. assign V371345 = V137823 - 1. assign V234134 = V629542. assign V991387 = V359617 + 1. assign V180769 = V262650 + 1. ass... | 351 | 0.02849 |
assign V355745 = V276919 - 1. assign V803517 = V649877 - 1. assign V333951 = V469845. assign V716262 = V775353 - 1. assign V387691 = V855403. assign V067128 = V161385. assign V308863 = V163785 + 1. assign V189415 = V378856. assign V915973 = V643817 - 1. assign V059236 = V371848 - 1. assign V268273 = V276919. assign V94... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 9.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V539140 = 8;
From these direct assignment(s), we have:
V643817 = V539140 + 1 = 8 + 1 =9;
V929451 = V643817 = 9;
V366882 = V929451 = 9;
No other variables can be derived from V366882;
V599701 = V929451 - 1 = 9 - 1 =8;
V804104 = V599701 - 1 = 8 - 1 =7;
V133041 = V804104 + 1 =... | 10 | 352 | 4,000 | 141 | 1 | 9 | [
"V643817",
"V929451",
"V366882",
"V302661"
] | [
{
"content": "<context>\nassign V355745 = V276919 - 1. assign V803517 = V649877 - 1. assign V333951 = V469845. assign V716262 = V775353 - 1. assign V387691 = V855403. assign V067128 = V161385. assign V308863 = V163785 + 1. assign V189415 = V378856. assign V915973 = V643817 - 1. assign V059236 = V371848 - 1. ass... | [
{
"content": "<context>\nassign V355745 = V276919 - 1. assign V803517 = V649877 - 1. assign V333951 = V469845. assign V716262 = V775353 - 1. assign V387691 = V855403. assign V067128 = V161385. assign V308863 = V163785 + 1. assign V189415 = V378856. assign V915973 = V643817 - 1. assign V059236 = V371848 - 1. ass... | 351 | 0.02849 |
assign V990191 = V910255. assign V896254 = V371181 + 1. assign V504754 = V746207 - 1. assign V280482 = V964332 + 1. assign V511826 = V503955. assign V128553 = V374054 + 1. assign V070112 = 8. assign V823776 = V916513 + 1. assign V931095 = V302500 - 1. assign V736658 = V611338. assign V937791 = V212013 - 1. assign V6547... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 7.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V070112 = 8;
From these direct assignment(s), we have:
V362638 = V070112 + 1 = 8 + 1 =9;
No other variables can be derived from V362638;
V931060 = V070112 - 1 = 8 - 1 =7;
V893577 = V931060 + 1 = 7 + 1 =8;
V419954 = V893577 - 1 = 8 - 1 =7;
No other variables can be derived f... | 10 | 352 | 4,000 | 142 | 1 | 7 | [
"V931060",
"V779574",
"V894104",
"V419954"
] | [
{
"content": "<context>\nassign V990191 = V910255. assign V896254 = V371181 + 1. assign V504754 = V746207 - 1. assign V280482 = V964332 + 1. assign V511826 = V503955. assign V128553 = V374054 + 1. assign V070112 = 8. assign V823776 = V916513 + 1. assign V931095 = V302500 - 1. assign V736658 = V611338. assign V9... | [
{
"content": "<context>\nassign V990191 = V910255. assign V896254 = V371181 + 1. assign V504754 = V746207 - 1. assign V280482 = V964332 + 1. assign V511826 = V503955. assign V128553 = V374054 + 1. assign V070112 = 8. assign V823776 = V916513 + 1. assign V931095 = V302500 - 1. assign V736658 = V611338. assign V9... | 351 | 0.02849 |
assign V500175 = V640256 + 1. assign V541345 = V729640. assign V153748 = V790639 - 1. assign V079172 = V825948. assign V802793 = V640256 - 1. assign V018990 = V415004 + 1. assign V518985 = V129699 - 1. assign V509984 = V105312 - 1. assign V243284 = V974171. assign V149508 = V657407 + 1. assign V717597 = V516805 - 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 2.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V129699 = 3;
From these direct assignment(s), we have:
V313754 = V129699 - 1 = 3 - 1 =2;
V469830 = V313754 + 1 = 2 + 1 =3;
V827120 = V469830 + 1 = 3 + 1 =4;
No other variables can be derived from V827120;
V130362 = V469830 - 1 = 3 - 1 =2;
No other variables can be derived f... | 10 | 352 | 4,000 | 143 | 1 | 2 | [
"V313754",
"V518985",
"V130362",
"V073392"
] | [
{
"content": "<context>\nassign V500175 = V640256 + 1. assign V541345 = V729640. assign V153748 = V790639 - 1. assign V079172 = V825948. assign V802793 = V640256 - 1. assign V018990 = V415004 + 1. assign V518985 = V129699 - 1. assign V509984 = V105312 - 1. assign V243284 = V974171. assign V149508 = V657407 + 1.... | [
{
"content": "<context>\nassign V500175 = V640256 + 1. assign V541345 = V729640. assign V153748 = V790639 - 1. assign V079172 = V825948. assign V802793 = V640256 - 1. assign V018990 = V415004 + 1. assign V518985 = V129699 - 1. assign V509984 = V105312 - 1. assign V243284 = V974171. assign V149508 = V657407 + 1.... | 351 | 0.02849 |
assign V080210 = V843142 - 1. assign V955628 = V597993 - 1. assign V158267 = V607622 - 1. assign V797543 = V496472 + 1. assign V881366 = V253526 + 1. assign V253526 = V859536 - 1. assign V717377 = V638127 + 1. assign V971414 = V434902 + 1. assign V404253 = V239159 - 1. assign V400694 = V280317 - 1. assign V338257 = V43... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 3.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V400492 = 2;
From these direct assignment(s), we have:
V300612 = V400492 = 2;
No other variables can be derived from V300612;
V215279 = V400492 + 1 = 2 + 1 =3;
V790884 = V215279 = 3;
No other variables can be derived from V790884;
V500609 = V215279 + 1 = 3 + 1 =4;
No other ... | 10 | 352 | 4,000 | 144 | 1 | 3 | [
"V215279",
"V790884"
] | [
{
"content": "<context>\nassign V080210 = V843142 - 1. assign V955628 = V597993 - 1. assign V158267 = V607622 - 1. assign V797543 = V496472 + 1. assign V881366 = V253526 + 1. assign V253526 = V859536 - 1. assign V717377 = V638127 + 1. assign V971414 = V434902 + 1. assign V404253 = V239159 - 1. assign V400694 = ... | [
{
"content": "<context>\nassign V080210 = V843142 - 1. assign V955628 = V597993 - 1. assign V158267 = V607622 - 1. assign V797543 = V496472 + 1. assign V881366 = V253526 + 1. assign V253526 = V859536 - 1. assign V717377 = V638127 + 1. assign V971414 = V434902 + 1. assign V404253 = V239159 - 1. assign V400694 = ... | 351 | 0.02849 |
assign V565382 = V196304. assign V083139 = V480071. assign V869124 = V597941. assign V058338 = V096422 + 1. assign V974183 = V354620 + 1. assign V923817 = V517031 - 1. assign V292211 = V480960 - 1. assign V188167 = V484508. assign V335210 = V253658. assign V422133 = V536435 - 1. assign V928910 = V171911 - 1. assign V00... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 8.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V413567 = 6;
From these direct assignment(s), we have:
V266971 = V413567 + 1 = 6 + 1 =7;
No other variables can be derived from V266971;
V090416 = V413567 + 1 = 6 + 1 =7;
V716890 = V090416 = 7;
V123379 = V716890 - 1 = 7 - 1 =6;
No other variables can be derived from V123379... | 10 | 352 | 4,000 | 145 | 1 | 8 | [
"V006692"
] | [
{
"content": "<context>\nassign V565382 = V196304. assign V083139 = V480071. assign V869124 = V597941. assign V058338 = V096422 + 1. assign V974183 = V354620 + 1. assign V923817 = V517031 - 1. assign V292211 = V480960 - 1. assign V188167 = V484508. assign V335210 = V253658. assign V422133 = V536435 - 1. assign ... | [
{
"content": "<context>\nassign V565382 = V196304. assign V083139 = V480071. assign V869124 = V597941. assign V058338 = V096422 + 1. assign V974183 = V354620 + 1. assign V923817 = V517031 - 1. assign V292211 = V480960 - 1. assign V188167 = V484508. assign V335210 = V253658. assign V422133 = V536435 - 1. assign ... | 351 | 0.02849 |
assign V145369 = V307219 - 1. assign V750640 = V264619 - 1. assign V812370 = V866288 + 1. assign V840629 = V192049 + 1. assign V165038 = V820313 - 1. assign V917772 = V073117 + 1. assign V288475 = V423197 - 1. assign V773503 = V705738. assign V122019 = V557944. assign V403993 = V036855 + 1. assign V073117 = V168656. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 4.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V307219 = 5;
From these direct assignment(s), we have:
V504666 = V307219 - 1 = 5 - 1 =4;
V575926 = V504666 = 4;
No other variables can be derived from V575926;
V085429 = V504666 - 1 = 4 - 1 =3;
No other variables can be derived from V085429;
No other variables can be derive... | 10 | 352 | 4,000 | 146 | 1 | 4 | [
"V145369",
"V504666",
"V575926"
] | [
{
"content": "<context>\nassign V145369 = V307219 - 1. assign V750640 = V264619 - 1. assign V812370 = V866288 + 1. assign V840629 = V192049 + 1. assign V165038 = V820313 - 1. assign V917772 = V073117 + 1. assign V288475 = V423197 - 1. assign V773503 = V705738. assign V122019 = V557944. assign V403993 = V036855 ... | [
{
"content": "<context>\nassign V145369 = V307219 - 1. assign V750640 = V264619 - 1. assign V812370 = V866288 + 1. assign V840629 = V192049 + 1. assign V165038 = V820313 - 1. assign V917772 = V073117 + 1. assign V288475 = V423197 - 1. assign V773503 = V705738. assign V122019 = V557944. assign V403993 = V036855 ... | 351 | 0.02849 |
assign V965741 = V680132 + 1. assign V286207 = V301168 + 1. assign V414582 = V519613 - 1. assign V056581 = V395533. assign V059486 = V874269. assign V470178 = V414582 - 1. assign V898950 = V775995 - 1. assign V923820 = V245869 - 1. assign V514276 = V282569 - 1. assign V959045 = V500314. assign V600107 = V344127 + 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 4.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V406257 = 5;
From these direct assignment(s), we have:
V303585 = V406257 = 5;
No other variables can be derived from V303585;
V636598 = V406257 - 1 = 5 - 1 =4;
V010546 = V636598 + 1 = 4 + 1 =5;
No other variables can be derived from V010546;
V044825 = V636598 + 1 = 4 + 1 =5... | 10 | 352 | 4,000 | 147 | 1 | 4 | [
"V636598",
"V740066",
"V710007"
] | [
{
"content": "<context>\nassign V965741 = V680132 + 1. assign V286207 = V301168 + 1. assign V414582 = V519613 - 1. assign V056581 = V395533. assign V059486 = V874269. assign V470178 = V414582 - 1. assign V898950 = V775995 - 1. assign V923820 = V245869 - 1. assign V514276 = V282569 - 1. assign V959045 = V500314.... | [
{
"content": "<context>\nassign V965741 = V680132 + 1. assign V286207 = V301168 + 1. assign V414582 = V519613 - 1. assign V056581 = V395533. assign V059486 = V874269. assign V470178 = V414582 - 1. assign V898950 = V775995 - 1. assign V923820 = V245869 - 1. assign V514276 = V282569 - 1. assign V959045 = V500314.... | 351 | 0.02849 |
assign V850082 = V386726 + 1. assign V330397 = V577304 - 1. assign V684763 = V349490 + 1. assign V996458 = V536160 - 1. assign V831800 = V383695 + 1. assign V015877 = V948267 - 1. assign V892253 = V880531 + 1. assign V884080 = V879732 - 1. assign V179420 = V131119 - 1. assign V477621 = V536160 + 1. assign V708388 = V57... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to -2.
Show your step-by-step reasoning and calculations, ... | First, there are such direct assignment(s):
V119260 = 1;
From these direct assignment(s), we have:
V589921 = V119260 - 1 = 1 - 1 =0;
V135474 = V589921 - 1 = 0 - 1 =-1;
V292538 = V135474 + 1 = -1 + 1 =0;
No other variables can be derived from V292538;
V256262 = V135474 + 1 = -1 + 1 =0;
No other variables can be derive... | 10 | 352 | 4,000 | 148 | 1 | -2 | [
"V166000"
] | [
{
"content": "<context>\nassign V850082 = V386726 + 1. assign V330397 = V577304 - 1. assign V684763 = V349490 + 1. assign V996458 = V536160 - 1. assign V831800 = V383695 + 1. assign V015877 = V948267 - 1. assign V892253 = V880531 + 1. assign V884080 = V879732 - 1. assign V179420 = V131119 - 1. assign V477621 = ... | [
{
"content": "<context>\nassign V850082 = V386726 + 1. assign V330397 = V577304 - 1. assign V684763 = V349490 + 1. assign V996458 = V536160 - 1. assign V831800 = V383695 + 1. assign V015877 = V948267 - 1. assign V892253 = V880531 + 1. assign V884080 = V879732 - 1. assign V179420 = V131119 - 1. assign V477621 = ... | 351 | 0.02849 |
assign V614276 = V237047. assign V557688 = V802561. assign V940120 = V699355. assign V970496 = V372455. assign V739083 = V373898 + 1. assign V171955 = V137064. assign V230181 = V510333 + 1. assign V751534 = V812130 + 1. assign V597308 = V585300 - 1. assign V362261 = V183070. assign V787438 = V237047 + 1. assign V337775... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 5.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V152376 = 4;
From these direct assignment(s), we have:
V570552 = V152376 + 1 = 4 + 1 =5;
V112064 = V570552 - 1 = 5 - 1 =4;
No other variables can be derived from V112064;
No other variables can be derived from V570552;
V029867 = V152376 + 1 = 4 + 1 =5;
V444159 = V029867 = 5... | 10 | 352 | 4,000 | 149 | 1 | 5 | [
"V237047",
"V570552",
"V614276",
"V029867",
"V444159"
] | [
{
"content": "<context>\nassign V614276 = V237047. assign V557688 = V802561. assign V940120 = V699355. assign V970496 = V372455. assign V739083 = V373898 + 1. assign V171955 = V137064. assign V230181 = V510333 + 1. assign V751534 = V812130 + 1. assign V597308 = V585300 - 1. assign V362261 = V183070. assign V787... | [
{
"content": "<context>\nassign V614276 = V237047. assign V557688 = V802561. assign V940120 = V699355. assign V970496 = V372455. assign V739083 = V373898 + 1. assign V171955 = V137064. assign V230181 = V510333 + 1. assign V751534 = V812130 + 1. assign V597308 = V585300 - 1. assign V362261 = V183070. assign V787... | 351 | 0.02849 |
assign V859166 = V000669. assign V218754 = V809697 - 1. assign V607966 = V777808. assign V465327 = V001532 + 1. assign V743983 = V233752 + 1. assign V007040 = V269195 - 1. assign V161895 = V139526. assign V777808 = V888385 - 1. assign V072870 = V968671 - 1. assign V893921 = V910453 - 1. assign V519041 = V888385 + 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 2.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V504089 = 2;
From these direct assignment(s), we have:
V896072 = V504089 = 2;
V278119 = V896072 + 1 = 2 + 1 =3;
No other variables can be derived from V278119;
V595003 = V896072 = 2;
No other variables can be derived from V595003;
V920671 = V896072 + 1 = 2 + 1 =3;
No other ... | 10 | 352 | 4,000 | 150 | 1 | 2 | [
"V504089",
"V377291",
"V545282",
"V896072",
"V447893",
"V595003"
] | [
{
"content": "<context>\nassign V859166 = V000669. assign V218754 = V809697 - 1. assign V607966 = V777808. assign V465327 = V001532 + 1. assign V743983 = V233752 + 1. assign V007040 = V269195 - 1. assign V161895 = V139526. assign V777808 = V888385 - 1. assign V072870 = V968671 - 1. assign V893921 = V910453 - 1.... | [
{
"content": "<context>\nassign V859166 = V000669. assign V218754 = V809697 - 1. assign V607966 = V777808. assign V465327 = V001532 + 1. assign V743983 = V233752 + 1. assign V007040 = V269195 - 1. assign V161895 = V139526. assign V777808 = V888385 - 1. assign V072870 = V968671 - 1. assign V893921 = V910453 - 1.... | 351 | 0.02849 |
assign V646724 = V625531 - 1. assign V389648 = V127342 + 1. assign V021439 = V388120. assign V303507 = V725788 + 1. assign V269393 = V041841. assign V092861 = V559208 - 1. assign V338957 = V486957 + 1. assign V872389 = V023044. assign V004978 = V389648 - 1. assign V676746 = V190228 - 1. assign V976818 = V216937. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 8.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V680911 = 8;
From these direct assignment(s), we have:
V644313 = V680911 + 1 = 8 + 1 =9;
V861382 = V644313 = 9;
V796122 = V861382 - 1 = 9 - 1 =8;
V756010 = V796122 = 8;
No other variables can be derived from V756010;
No other variables can be derived from V796122;
No other ... | 10 | 352 | 4,000 | 151 | 1 | 8 | [
"V680911",
"V139421",
"V796122",
"V756010",
"V247796"
] | [
{
"content": "<context>\nassign V646724 = V625531 - 1. assign V389648 = V127342 + 1. assign V021439 = V388120. assign V303507 = V725788 + 1. assign V269393 = V041841. assign V092861 = V559208 - 1. assign V338957 = V486957 + 1. assign V872389 = V023044. assign V004978 = V389648 - 1. assign V676746 = V190228 - 1.... | [
{
"content": "<context>\nassign V646724 = V625531 - 1. assign V389648 = V127342 + 1. assign V021439 = V388120. assign V303507 = V725788 + 1. assign V269393 = V041841. assign V092861 = V559208 - 1. assign V338957 = V486957 + 1. assign V872389 = V023044. assign V004978 = V389648 - 1. assign V676746 = V190228 - 1.... | 351 | 0.02849 |
assign V177530 = V618642 - 1. assign V960719 = V177530 + 1. assign V805535 = V599743 - 1. assign V372925 = V987943 - 1. assign V063551 = V293082 - 1. assign V678865 = V090755 - 1. assign V289393 = V308383 + 1. assign V690515 = V918825 + 1. assign V775817 = V387616. assign V637920 = V356249 + 1. assign V262176 = V239979... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 1.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V518083 = 1;
From these direct assignment(s), we have:
V487584 = V518083 + 1 = 1 + 1 =2;
V164085 = V487584 + 1 = 2 + 1 =3;
V683020 = V164085 + 1 = 3 + 1 =4;
V801207 = V683020 + 1 = 4 + 1 =5;
No other variables can be derived from V801207;
No other variables can be derived f... | 10 | 352 | 4,000 | 152 | 1 | 1 | [
"V518083"
] | [
{
"content": "<context>\nassign V177530 = V618642 - 1. assign V960719 = V177530 + 1. assign V805535 = V599743 - 1. assign V372925 = V987943 - 1. assign V063551 = V293082 - 1. assign V678865 = V090755 - 1. assign V289393 = V308383 + 1. assign V690515 = V918825 + 1. assign V775817 = V387616. assign V637920 = V356... | [
{
"content": "<context>\nassign V177530 = V618642 - 1. assign V960719 = V177530 + 1. assign V805535 = V599743 - 1. assign V372925 = V987943 - 1. assign V063551 = V293082 - 1. assign V678865 = V090755 - 1. assign V289393 = V308383 + 1. assign V690515 = V918825 + 1. assign V775817 = V387616. assign V637920 = V356... | 351 | 0.02849 |
assign V826931 = V842627 + 1. assign V856891 = V106431 - 1. assign V603747 = V888575. assign V866825 = V228897. assign V342367 = V652256 - 1. assign V398722 = V319837 - 1. assign V189612 = V212970. assign V952792 = V398481 - 1. assign V818527 = V600382 + 1. assign V851809 = V587178 - 1. assign V614393 = V856891 + 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 5.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V081521 = 4;
From these direct assignment(s), we have:
V489857 = V081521 = 4;
No other variables can be derived from V489857;
V175407 = V081521 = 4;
V543419 = V175407 + 1 = 4 + 1 =5;
V296719 = V543419 = 5;
No other variables can be derived from V296719;
No other variables c... | 10 | 352 | 4,000 | 153 | 1 | 5 | [
"V034761",
"V543419",
"V296719"
] | [
{
"content": "<context>\nassign V826931 = V842627 + 1. assign V856891 = V106431 - 1. assign V603747 = V888575. assign V866825 = V228897. assign V342367 = V652256 - 1. assign V398722 = V319837 - 1. assign V189612 = V212970. assign V952792 = V398481 - 1. assign V818527 = V600382 + 1. assign V851809 = V587178 - 1.... | [
{
"content": "<context>\nassign V826931 = V842627 + 1. assign V856891 = V106431 - 1. assign V603747 = V888575. assign V866825 = V228897. assign V342367 = V652256 - 1. assign V398722 = V319837 - 1. assign V189612 = V212970. assign V952792 = V398481 - 1. assign V818527 = V600382 + 1. assign V851809 = V587178 - 1.... | 351 | 0.02849 |
assign V813645 = V371288. assign V596895 = V968810. assign V411406 = V848421 + 1. assign V494482 = V013914. assign V771468 = V760201. assign V268292 = V303626 + 1. assign V959739 = V515122 - 1. assign V182349 = V470800 - 1. assign V180404 = V903433 + 1. assign V311060 = V182349 - 1. assign V254827 = V960559. assign V49... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 3.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V694571 = 3;
From these direct assignment(s), we have:
V466950 = V694571 + 1 = 3 + 1 =4;
V886976 = V466950 - 1 = 4 - 1 =3;
No other variables can be derived from V886976;
V348007 = V466950 = 4;
No other variables can be derived from V348007;
No other variables can be derive... | 10 | 352 | 4,000 | 154 | 1 | 3 | [
"V694571",
"V710766",
"V886976"
] | [
{
"content": "<context>\nassign V813645 = V371288. assign V596895 = V968810. assign V411406 = V848421 + 1. assign V494482 = V013914. assign V771468 = V760201. assign V268292 = V303626 + 1. assign V959739 = V515122 - 1. assign V182349 = V470800 - 1. assign V180404 = V903433 + 1. assign V311060 = V182349 - 1. ass... | [
{
"content": "<context>\nassign V813645 = V371288. assign V596895 = V968810. assign V411406 = V848421 + 1. assign V494482 = V013914. assign V771468 = V760201. assign V268292 = V303626 + 1. assign V959739 = V515122 - 1. assign V182349 = V470800 - 1. assign V180404 = V903433 + 1. assign V311060 = V182349 - 1. ass... | 351 | 0.02849 |
assign V631967 = V015136 + 1. assign V474351 = V485892. assign V295801 = V890246. assign V356587 = V572040 - 1. assign V572618 = V068969 + 1. assign V076055 = V654034 - 1. assign V809010 = V858650. assign V221166 = V125132. assign V981554 = V933907. assign V466417 = V159477 - 1. assign V125132 = V899332. assign V680846... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 9.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V267159 = 10;
From these direct assignment(s), we have:
V098438 = V267159 - 1 = 10 - 1 =9;
No other variables can be derived from V098438;
V899332 = V267159 + 1 = 10 + 1 =11;
V608515 = V899332 + 1 = 11 + 1 =12;
No other variables can be derived from V608515;
V809333 = V8993... | 10 | 352 | 4,000 | 155 | 1 | 9 | [
"V098438"
] | [
{
"content": "<context>\nassign V631967 = V015136 + 1. assign V474351 = V485892. assign V295801 = V890246. assign V356587 = V572040 - 1. assign V572618 = V068969 + 1. assign V076055 = V654034 - 1. assign V809010 = V858650. assign V221166 = V125132. assign V981554 = V933907. assign V466417 = V159477 - 1. assign ... | [
{
"content": "<context>\nassign V631967 = V015136 + 1. assign V474351 = V485892. assign V295801 = V890246. assign V356587 = V572040 - 1. assign V572618 = V068969 + 1. assign V076055 = V654034 - 1. assign V809010 = V858650. assign V221166 = V125132. assign V981554 = V933907. assign V466417 = V159477 - 1. assign ... | 351 | 0.02849 |
assign V077707 = V650407 + 1. assign V859349 = V665045. assign V378507 = V528133 + 1. assign V366278 = V927435. assign V715666 = V703597 - 1. assign V464567 = V000004 + 1. assign V583674 = V681268 + 1. assign V258587 = V619770. assign V642645 = V476374. assign V677088 = V261559 + 1. assign V520802 = V507189 + 1. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 10.
Show your step-by-step reasoning and calculations, ... | First, there are such direct assignment(s):
V418156 = 10;
From these direct assignment(s), we have:
V507013 = V418156 - 1 = 10 - 1 =9;
No other variables can be derived from V507013;
V435006 = V418156 + 1 = 10 + 1 =11;
V618229 = V435006 - 1 = 11 - 1 =10;
V380985 = V618229 = 10;
No other variables can be derived from ... | 10 | 352 | 4,000 | 156 | 1 | 10 | [
"V418156",
"V268109",
"V618229",
"V668984",
"V380985"
] | [
{
"content": "<context>\nassign V077707 = V650407 + 1. assign V859349 = V665045. assign V378507 = V528133 + 1. assign V366278 = V927435. assign V715666 = V703597 - 1. assign V464567 = V000004 + 1. assign V583674 = V681268 + 1. assign V258587 = V619770. assign V642645 = V476374. assign V677088 = V261559 + 1. ass... | [
{
"content": "<context>\nassign V077707 = V650407 + 1. assign V859349 = V665045. assign V378507 = V528133 + 1. assign V366278 = V927435. assign V715666 = V703597 - 1. assign V464567 = V000004 + 1. assign V583674 = V681268 + 1. assign V258587 = V619770. assign V642645 = V476374. assign V677088 = V261559 + 1. ass... | 351 | 0.02849 |
assign V493989 = V467286 - 1. assign V825429 = V666077. assign V452108 = V119049 + 1. assign V340531 = V509914 + 1. assign V911343 = V557186 + 1. assign V048401 = V493510 - 1. assign V976135 = V712167 - 1. assign V076921 = V194887 + 1. assign V809099 = V544922. assign V457561 = V557186 - 1. assign V209846 = V360224. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 6.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V445253 = 6;
From these direct assignment(s), we have:
V180294 = V445253 = 6;
V138134 = V180294 - 1 = 6 - 1 =5;
V189080 = V138134 + 1 = 5 + 1 =6;
No other variables can be derived from V189080;
No other variables can be derived from V138134;
No other variables can be derive... | 10 | 352 | 4,000 | 157 | 1 | 6 | [
"V445253",
"V106987",
"V180294",
"V680042",
"V189080"
] | [
{
"content": "<context>\nassign V493989 = V467286 - 1. assign V825429 = V666077. assign V452108 = V119049 + 1. assign V340531 = V509914 + 1. assign V911343 = V557186 + 1. assign V048401 = V493510 - 1. assign V976135 = V712167 - 1. assign V076921 = V194887 + 1. assign V809099 = V544922. assign V457561 = V557186 ... | [
{
"content": "<context>\nassign V493989 = V467286 - 1. assign V825429 = V666077. assign V452108 = V119049 + 1. assign V340531 = V509914 + 1. assign V911343 = V557186 + 1. assign V048401 = V493510 - 1. assign V976135 = V712167 - 1. assign V076921 = V194887 + 1. assign V809099 = V544922. assign V457561 = V557186 ... | 351 | 0.02849 |
assign V968708 = V535413 + 1. assign V059478 = V791496 - 1. assign V791496 = V110977 + 1. assign V579488 = V434020 + 1. assign V976862 = V449739 - 1. assign V521451 = V127625 + 1. assign V032981 = V166986. assign V929369 = V070262 + 1. assign V570281 = V277178 - 1. assign V586846 = V418758 + 1. assign V133187 = V995627... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 6.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V330509 = 4;
From these direct assignment(s), we have:
V175851 = V330509 = 4;
No other variables can be derived from V175851;
V127026 = V330509 = 4;
V540091 = V127026 + 1 = 4 + 1 =5;
V731119 = V540091 + 1 = 5 + 1 =6;
No other variables can be derived from V731119;
V474775 =... | 10 | 352 | 4,000 | 158 | 1 | 6 | [
"V731119",
"V474775",
"V740215"
] | [
{
"content": "<context>\nassign V968708 = V535413 + 1. assign V059478 = V791496 - 1. assign V791496 = V110977 + 1. assign V579488 = V434020 + 1. assign V976862 = V449739 - 1. assign V521451 = V127625 + 1. assign V032981 = V166986. assign V929369 = V070262 + 1. assign V570281 = V277178 - 1. assign V586846 = V418... | [
{
"content": "<context>\nassign V968708 = V535413 + 1. assign V059478 = V791496 - 1. assign V791496 = V110977 + 1. assign V579488 = V434020 + 1. assign V976862 = V449739 - 1. assign V521451 = V127625 + 1. assign V032981 = V166986. assign V929369 = V070262 + 1. assign V570281 = V277178 - 1. assign V586846 = V418... | 351 | 0.02849 |
assign V477049 = V808906 - 1. assign V900985 = V168645. assign V752024 = V785155 - 1. assign V446686 = V089725 + 1. assign V351900 = V314397. assign V314397 = V126410 + 1. assign V529678 = V778187. assign V136229 = V423919 - 1. assign V340953 = V909630. assign V802880 = V633249 - 1. assign V961021 = V898375 + 1. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 13.
Show your step-by-step reasoning and calculations, ... | First, there are such direct assignment(s):
V336551 = 10;
From these direct assignment(s), we have:
V909630 = V336551 + 1 = 10 + 1 =11;
V618813 = V909630 + 1 = 11 + 1 =12;
V573201 = V618813 + 1 = 12 + 1 =13;
No other variables can be derived from V573201;
No other variables can be derived from V618813;
V340953 = V909... | 10 | 352 | 4,000 | 159 | 1 | 13 | [
"V573201"
] | [
{
"content": "<context>\nassign V477049 = V808906 - 1. assign V900985 = V168645. assign V752024 = V785155 - 1. assign V446686 = V089725 + 1. assign V351900 = V314397. assign V314397 = V126410 + 1. assign V529678 = V778187. assign V136229 = V423919 - 1. assign V340953 = V909630. assign V802880 = V633249 - 1. ass... | [
{
"content": "<context>\nassign V477049 = V808906 - 1. assign V900985 = V168645. assign V752024 = V785155 - 1. assign V446686 = V089725 + 1. assign V351900 = V314397. assign V314397 = V126410 + 1. assign V529678 = V778187. assign V136229 = V423919 - 1. assign V340953 = V909630. assign V802880 = V633249 - 1. ass... | 351 | 0.02849 |
assign V410684 = V610943 - 1. assign V626842 = V131095 - 1. assign V683534 = V212276 - 1. assign V136232 = V160144 - 1. assign V610943 = V029649 - 1. assign V058264 = V277730 - 1. assign V978121 = V022693 + 1. assign V681279 = V489226 + 1. assign V898484 = V249654 - 1. assign V059209 = V576749. assign V862171 = V341388... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 7.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V790872 = 7;
From these direct assignment(s), we have:
V146082 = V790872 + 1 = 7 + 1 =8;
V977393 = V146082 - 1 = 8 - 1 =7;
V476745 = V977393 + 1 = 7 + 1 =8;
No other variables can be derived from V476745;
V295325 = V977393 - 1 = 7 - 1 =6;
V128459 = V295325 = 6;
V021263 = V1... | 10 | 352 | 4,000 | 160 | 1 | 7 | [
"V790872",
"V977393",
"V264567",
"V563063",
"V021263"
] | [
{
"content": "<context>\nassign V410684 = V610943 - 1. assign V626842 = V131095 - 1. assign V683534 = V212276 - 1. assign V136232 = V160144 - 1. assign V610943 = V029649 - 1. assign V058264 = V277730 - 1. assign V978121 = V022693 + 1. assign V681279 = V489226 + 1. assign V898484 = V249654 - 1. assign V059209 = ... | [
{
"content": "<context>\nassign V410684 = V610943 - 1. assign V626842 = V131095 - 1. assign V683534 = V212276 - 1. assign V136232 = V160144 - 1. assign V610943 = V029649 - 1. assign V058264 = V277730 - 1. assign V978121 = V022693 + 1. assign V681279 = V489226 + 1. assign V898484 = V249654 - 1. assign V059209 = ... | 351 | 0.02849 |
assign V033736 = V313482 + 1. assign V899166 = V960548. assign V907467 = V406592 + 1. assign V892416 = V155387. assign V046665 = V571312 + 1. assign V864845 = V317419 + 1. assign V032788 = V453456 - 1. assign V493633 = V034721 + 1. assign V090654 = V960548 - 1. assign V920545 = V112399. assign V873821 = V453456. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 1.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V263500 = 3;
From these direct assignment(s), we have:
V392835 = V263500 - 1 = 3 - 1 =2;
V008370 = V392835 + 1 = 2 + 1 =3;
No other variables can be derived from V008370;
V076256 = V392835 - 1 = 2 - 1 =1;
V870873 = V076256 - 1 = 1 - 1 =0;
V993878 = V870873 - 1 = 0 - 1 =-1;
... | 10 | 352 | 4,000 | 161 | 1 | 1 | [
"V076256"
] | [
{
"content": "<context>\nassign V033736 = V313482 + 1. assign V899166 = V960548. assign V907467 = V406592 + 1. assign V892416 = V155387. assign V046665 = V571312 + 1. assign V864845 = V317419 + 1. assign V032788 = V453456 - 1. assign V493633 = V034721 + 1. assign V090654 = V960548 - 1. assign V920545 = V112399.... | [
{
"content": "<context>\nassign V033736 = V313482 + 1. assign V899166 = V960548. assign V907467 = V406592 + 1. assign V892416 = V155387. assign V046665 = V571312 + 1. assign V864845 = V317419 + 1. assign V032788 = V453456 - 1. assign V493633 = V034721 + 1. assign V090654 = V960548 - 1. assign V920545 = V112399.... | 351 | 0.02849 |
assign V487572 = V163989. assign V876479 = V568627 - 1. assign V435134 = V661777 - 1. assign V896337 = V262138. assign V967012 = V795491 - 1. assign V003895 = V948308 + 1. assign V487318 = V387444 - 1. assign V564976 = V109241 - 1. assign V794301 = V818979 + 1. assign V545123 = V134213 - 1. assign V832861 = V389721 + 1... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 0.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V345224 = 1;
From these direct assignment(s), we have:
V546634 = V345224 - 1 = 1 - 1 =0;
V992622 = V546634 = 0;
V798475 = V992622 - 1 = 0 - 1 =-1;
V491952 = V798475 + 1 = -1 + 1 =0;
V270690 = V491952 - 1 = 0 - 1 =-1;
No other variables can be derived from V270690;
No other ... | 10 | 352 | 4,000 | 162 | 1 | 0 | [
"V546634",
"V992622",
"V467387",
"V491952",
"V675705"
] | [
{
"content": "<context>\nassign V487572 = V163989. assign V876479 = V568627 - 1. assign V435134 = V661777 - 1. assign V896337 = V262138. assign V967012 = V795491 - 1. assign V003895 = V948308 + 1. assign V487318 = V387444 - 1. assign V564976 = V109241 - 1. assign V794301 = V818979 + 1. assign V545123 = V134213 ... | [
{
"content": "<context>\nassign V487572 = V163989. assign V876479 = V568627 - 1. assign V435134 = V661777 - 1. assign V896337 = V262138. assign V967012 = V795491 - 1. assign V003895 = V948308 + 1. assign V487318 = V387444 - 1. assign V564976 = V109241 - 1. assign V794301 = V818979 + 1. assign V545123 = V134213 ... | 351 | 0.02849 |
assign V989660 = V093689 + 1. assign V500448 = V799406 + 1. assign V860519 = V614766 - 1. assign V152669 = V879536 + 1. assign V703916 = V648388. assign V597540 = V152669 - 1. assign V090191 = V071721. assign V172911 = V799406 + 1. assign V578829 = V187007 - 1. assign V861197 = V964735. assign V011656 = V287910. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 7.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V100879 = 8;
From these direct assignment(s), we have:
V972226 = V100879 + 1 = 8 + 1 =9;
No other variables can be derived from V972226;
V534554 = V100879 = 8;
V500816 = V534554 + 1 = 8 + 1 =9;
No other variables can be derived from V500816;
No other variables can be derive... | 10 | 352 | 4,000 | 163 | 1 | 7 | [
"V455160"
] | [
{
"content": "<context>\nassign V989660 = V093689 + 1. assign V500448 = V799406 + 1. assign V860519 = V614766 - 1. assign V152669 = V879536 + 1. assign V703916 = V648388. assign V597540 = V152669 - 1. assign V090191 = V071721. assign V172911 = V799406 + 1. assign V578829 = V187007 - 1. assign V861197 = V964735.... | [
{
"content": "<context>\nassign V989660 = V093689 + 1. assign V500448 = V799406 + 1. assign V860519 = V614766 - 1. assign V152669 = V879536 + 1. assign V703916 = V648388. assign V597540 = V152669 - 1. assign V090191 = V071721. assign V172911 = V799406 + 1. assign V578829 = V187007 - 1. assign V861197 = V964735.... | 351 | 0.02849 |
assign V002714 = V628691 - 1. assign V164609 = V216804 + 1. assign V733825 = V711449 + 1. assign V612942 = V979529 + 1. assign V345891 = V422639 - 1. assign V234833 = V392377. assign V624019 = V264658 - 1. assign V090955 = V518326 - 1. assign V264658 = V234833 - 1. assign V040069 = V265236 - 1. assign V151408 = V396768... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 10.
Show your step-by-step reasoning and calculations, ... | First, there are such direct assignment(s):
V884709 = 10;
From these direct assignment(s), we have:
V850603 = V884709 + 1 = 10 + 1 =11;
V584321 = V850603 - 1 = 11 - 1 =10;
No other variables can be derived from V584321;
No other variables can be derived from V850603;
V831318 = V884709 - 1 = 10 - 1 =9;
V957550 = V8313... | 10 | 352 | 4,000 | 164 | 1 | 10 | [
"V884709",
"V585795",
"V564691",
"V584321"
] | [
{
"content": "<context>\nassign V002714 = V628691 - 1. assign V164609 = V216804 + 1. assign V733825 = V711449 + 1. assign V612942 = V979529 + 1. assign V345891 = V422639 - 1. assign V234833 = V392377. assign V624019 = V264658 - 1. assign V090955 = V518326 - 1. assign V264658 = V234833 - 1. assign V040069 = V265... | [
{
"content": "<context>\nassign V002714 = V628691 - 1. assign V164609 = V216804 + 1. assign V733825 = V711449 + 1. assign V612942 = V979529 + 1. assign V345891 = V422639 - 1. assign V234833 = V392377. assign V624019 = V264658 - 1. assign V090955 = V518326 - 1. assign V264658 = V234833 - 1. assign V040069 = V265... | 351 | 0.02849 |
assign V734697 = V163969. assign V923026 = V777897 + 1. assign V511722 = V586475. assign V482907 = V358868. assign V675267 = V947898 - 1. assign V250255 = V242388 + 1. assign V343888 = V415984. assign V432238 = V055793 + 1. assign V481886 = V416408 - 1. assign V150223 = V539249 + 1. assign V864863 = V366378. assign V63... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 1.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V989770 = 1;
From these direct assignment(s), we have:
V516106 = V989770 = 1;
No other variables can be derived from V516106;
V567699 = V989770 - 1 = 1 - 1 =0;
V039880 = V567699 - 1 = 0 - 1 =-1;
V377539 = V039880 = -1;
V888982 = V377539 - 1 = -1 - 1 =-2;
No other variables ... | 10 | 352 | 4,000 | 165 | 1 | 1 | [
"V989770",
"V516106",
"V812442"
] | [
{
"content": "<context>\nassign V734697 = V163969. assign V923026 = V777897 + 1. assign V511722 = V586475. assign V482907 = V358868. assign V675267 = V947898 - 1. assign V250255 = V242388 + 1. assign V343888 = V415984. assign V432238 = V055793 + 1. assign V481886 = V416408 - 1. assign V150223 = V539249 + 1. ass... | [
{
"content": "<context>\nassign V734697 = V163969. assign V923026 = V777897 + 1. assign V511722 = V586475. assign V482907 = V358868. assign V675267 = V947898 - 1. assign V250255 = V242388 + 1. assign V343888 = V415984. assign V432238 = V055793 + 1. assign V481886 = V416408 - 1. assign V150223 = V539249 + 1. ass... | 351 | 0.02849 |
assign V334331 = V511355 + 1. assign V882716 = V148777 + 1. assign V182764 = V600723. assign V496925 = V848530. assign V413196 = V330231. assign V382393 = V922344. assign V674664 = V426787 + 1. assign V976945 = V662262 + 1. assign V768853 = V924232 + 1. assign V605233 = V693017. assign V045268 = V629666 - 1. assign V83... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 9.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V309830 = 10;
From these direct assignment(s), we have:
V790620 = V309830 - 1 = 10 - 1 =9;
V053821 = V790620 - 1 = 9 - 1 =8;
No other variables can be derived from V053821;
No other variables can be derived from V790620;
V767238 = V309830 - 1 = 10 - 1 =9;
No other variables... | 10 | 352 | 4,000 | 166 | 1 | 9 | [
"V767238",
"V790620"
] | [
{
"content": "<context>\nassign V334331 = V511355 + 1. assign V882716 = V148777 + 1. assign V182764 = V600723. assign V496925 = V848530. assign V413196 = V330231. assign V382393 = V922344. assign V674664 = V426787 + 1. assign V976945 = V662262 + 1. assign V768853 = V924232 + 1. assign V605233 = V693017. assign ... | [
{
"content": "<context>\nassign V334331 = V511355 + 1. assign V882716 = V148777 + 1. assign V182764 = V600723. assign V496925 = V848530. assign V413196 = V330231. assign V382393 = V922344. assign V674664 = V426787 + 1. assign V976945 = V662262 + 1. assign V768853 = V924232 + 1. assign V605233 = V693017. assign ... | 351 | 0.02849 |
assign V904848 = V696088. assign V833761 = V358968 - 1. assign V534228 = V126624 + 1. assign V137979 = V846426 - 1. assign V911401 = V169458 + 1. assign V038573 = V890716. assign V042499 = V358603 - 1. assign V171603 = V184730. assign V279220 = V636116 - 1. assign V157000 = V829457 + 1. assign V471805 = V533318 - 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 8.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V651069 = 9;
From these direct assignment(s), we have:
V206401 = V651069 + 1 = 9 + 1 =10;
V279540 = V206401 = 10;
V622029 = V279540 = 10;
No other variables can be derived from V622029;
No other variables can be derived from V279540;
No other variables can be derived from V... | 10 | 352 | 4,000 | 167 | 1 | 8 | [
"V851022",
"V130460",
"V501479",
"V382670"
] | [
{
"content": "<context>\nassign V904848 = V696088. assign V833761 = V358968 - 1. assign V534228 = V126624 + 1. assign V137979 = V846426 - 1. assign V911401 = V169458 + 1. assign V038573 = V890716. assign V042499 = V358603 - 1. assign V171603 = V184730. assign V279220 = V636116 - 1. assign V157000 = V829457 + 1.... | [
{
"content": "<context>\nassign V904848 = V696088. assign V833761 = V358968 - 1. assign V534228 = V126624 + 1. assign V137979 = V846426 - 1. assign V911401 = V169458 + 1. assign V038573 = V890716. assign V042499 = V358603 - 1. assign V171603 = V184730. assign V279220 = V636116 - 1. assign V157000 = V829457 + 1.... | 351 | 0.02849 |
assign V255215 = V655118 - 1. assign V457174 = V785632 + 1. assign V453174 = V626852 - 1. assign V931533 = V641750. assign V580114 = V548831 + 1. assign V983880 = V863581 - 1. assign V725342 = V025117 + 1. assign V699655 = V995813 + 1. assign V601498 = V751233. assign V262303 = V952339. assign V830298 = V897477 - 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 4.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V108791 = 4;
From these direct assignment(s), we have:
V570272 = V108791 - 1 = 4 - 1 =3;
V996784 = V570272 = 3;
No other variables can be derived from V996784;
V020018 = V570272 = 3;
V098809 = V020018 - 1 = 3 - 1 =2;
V294259 = V098809 = 2;
No other variables can be derived ... | 10 | 352 | 4,000 | 168 | 1 | 4 | [
"V108791",
"V686794",
"V354179",
"V901288",
"V155701"
] | [
{
"content": "<context>\nassign V255215 = V655118 - 1. assign V457174 = V785632 + 1. assign V453174 = V626852 - 1. assign V931533 = V641750. assign V580114 = V548831 + 1. assign V983880 = V863581 - 1. assign V725342 = V025117 + 1. assign V699655 = V995813 + 1. assign V601498 = V751233. assign V262303 = V952339.... | [
{
"content": "<context>\nassign V255215 = V655118 - 1. assign V457174 = V785632 + 1. assign V453174 = V626852 - 1. assign V931533 = V641750. assign V580114 = V548831 + 1. assign V983880 = V863581 - 1. assign V725342 = V025117 + 1. assign V699655 = V995813 + 1. assign V601498 = V751233. assign V262303 = V952339.... | 351 | 0.02849 |
assign V052701 = V831307 - 1. assign V490510 = V019347 - 1. assign V843348 = V074250 + 1. assign V505476 = V721903. assign V211362 = V379817. assign V779282 = V856885 - 1. assign V985259 = V180976. assign V587094 = V943640. assign V436254 = V714732 + 1. assign V624351 = V418660. assign V758618 = V734273 - 1. assign V63... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 9.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V738305 = 10;
From these direct assignment(s), we have:
V935091 = V738305 - 1 = 10 - 1 =9;
V831307 = V935091 + 1 = 9 + 1 =10;
V812127 = V831307 - 1 = 10 - 1 =9;
No other variables can be derived from V812127;
V052701 = V831307 - 1 = 10 - 1 =9;
V456195 = V052701 + 1 = 9 + 1 ... | 10 | 352 | 4,000 | 169 | 1 | 9 | [
"V935091",
"V027400",
"V052701",
"V812127"
] | [
{
"content": "<context>\nassign V052701 = V831307 - 1. assign V490510 = V019347 - 1. assign V843348 = V074250 + 1. assign V505476 = V721903. assign V211362 = V379817. assign V779282 = V856885 - 1. assign V985259 = V180976. assign V587094 = V943640. assign V436254 = V714732 + 1. assign V624351 = V418660. assign ... | [
{
"content": "<context>\nassign V052701 = V831307 - 1. assign V490510 = V019347 - 1. assign V843348 = V074250 + 1. assign V505476 = V721903. assign V211362 = V379817. assign V779282 = V856885 - 1. assign V985259 = V180976. assign V587094 = V943640. assign V436254 = V714732 + 1. assign V624351 = V418660. assign ... | 351 | 0.02849 |
assign V356550 = V445137 + 1. assign V753662 = V312859 + 1. assign V363251 = V789787 - 1. assign V939982 = V302454. assign V220764 = V469692 - 1. assign V337956 = V660279 + 1. assign V234772 = V415639. assign V935977 = V363251 - 1. assign V706545 = V683918. assign V323354 = V437731. assign V423297 = V427226 + 1. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 5.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V244429 = 5;
From these direct assignment(s), we have:
V535957 = V244429 = 5;
No other variables can be derived from V535957;
V618148 = V244429 + 1 = 5 + 1 =6;
V394177 = V618148 - 1 = 6 - 1 =5;
V453367 = V394177 + 1 = 5 + 1 =6;
No other variables can be derived from V453367... | 10 | 352 | 4,000 | 170 | 1 | 5 | [
"V244429",
"V394177",
"V340535",
"V535957"
] | [
{
"content": "<context>\nassign V356550 = V445137 + 1. assign V753662 = V312859 + 1. assign V363251 = V789787 - 1. assign V939982 = V302454. assign V220764 = V469692 - 1. assign V337956 = V660279 + 1. assign V234772 = V415639. assign V935977 = V363251 - 1. assign V706545 = V683918. assign V323354 = V437731. ass... | [
{
"content": "<context>\nassign V356550 = V445137 + 1. assign V753662 = V312859 + 1. assign V363251 = V789787 - 1. assign V939982 = V302454. assign V220764 = V469692 - 1. assign V337956 = V660279 + 1. assign V234772 = V415639. assign V935977 = V363251 - 1. assign V706545 = V683918. assign V323354 = V437731. ass... | 351 | 0.02849 |
assign V733592 = V216791 + 1. assign V924170 = V036872. assign V018596 = V536078. assign V688627 = V232159. assign V730124 = V737437. assign V199261 = V644422 - 1. assign V498931 = V789981 + 1. assign V088304 = V479165. assign V737437 = V260381. assign V086720 = V564607 - 1. assign V015711 = V007315. assign V278851 = V... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 0.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V077495 = 0;
From these direct assignment(s), we have:
V256081 = V077495 - 1 = 0 - 1 =-1;
V753390 = V256081 - 1 = -1 - 1 =-2;
No other variables can be derived from V753390;
No other variables can be derived from V256081;
V613777 = V077495 = 0;
No other variables can be der... | 10 | 352 | 4,000 | 171 | 1 | 0 | [
"V077495",
"V326223",
"V613777"
] | [
{
"content": "<context>\nassign V733592 = V216791 + 1. assign V924170 = V036872. assign V018596 = V536078. assign V688627 = V232159. assign V730124 = V737437. assign V199261 = V644422 - 1. assign V498931 = V789981 + 1. assign V088304 = V479165. assign V737437 = V260381. assign V086720 = V564607 - 1. assign V015... | [
{
"content": "<context>\nassign V733592 = V216791 + 1. assign V924170 = V036872. assign V018596 = V536078. assign V688627 = V232159. assign V730124 = V737437. assign V199261 = V644422 - 1. assign V498931 = V789981 + 1. assign V088304 = V479165. assign V737437 = V260381. assign V086720 = V564607 - 1. assign V015... | 351 | 0.02849 |
assign V306486 = V825346 - 1. assign V003250 = V477200. assign V771591 = V902396 - 1. assign V156345 = V782892 - 1. assign V770213 = V280780 + 1. assign V310685 = V535174. assign V489598 = V070096. assign V412123 = V787892 + 1. assign V933098 = V916644 - 1. assign V796863 = V211443 + 1. assign V521903 = V856081. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 12.
Show your step-by-step reasoning and calculations, ... | First, there are such direct assignment(s):
V082290 = 10;
From these direct assignment(s), we have:
V708687 = V082290 - 1 = 10 - 1 =9;
V259553 = V708687 - 1 = 9 - 1 =8;
V301101 = V259553 = 8;
No other variables can be derived from V301101;
No other variables can be derived from V259553;
V036711 = V708687 = 9;
No othe... | 10 | 352 | 4,000 | 172 | 1 | 12 | [
"V166580"
] | [
{
"content": "<context>\nassign V306486 = V825346 - 1. assign V003250 = V477200. assign V771591 = V902396 - 1. assign V156345 = V782892 - 1. assign V770213 = V280780 + 1. assign V310685 = V535174. assign V489598 = V070096. assign V412123 = V787892 + 1. assign V933098 = V916644 - 1. assign V796863 = V211443 + 1.... | [
{
"content": "<context>\nassign V306486 = V825346 - 1. assign V003250 = V477200. assign V771591 = V902396 - 1. assign V156345 = V782892 - 1. assign V770213 = V280780 + 1. assign V310685 = V535174. assign V489598 = V070096. assign V412123 = V787892 + 1. assign V933098 = V916644 - 1. assign V796863 = V211443 + 1.... | 351 | 0.02849 |
assign V489610 = V305738 - 1. assign V341930 = V878220. assign V756830 = V142836 + 1. assign V450608 = V351261 - 1. assign V220856 = V749350. assign V210129 = V894755. assign V479637 = V139985 + 1. assign V866300 = V407631. assign V343832 = V383195 + 1. assign V543114 = V793828. assign V598626 = V696856 + 1. assign V11... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 8.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V042905 = 9;
From these direct assignment(s), we have:
V855098 = V042905 - 1 = 9 - 1 =8;
V403585 = V855098 = 8;
No other variables can be derived from V403585;
V342620 = V855098 + 1 = 8 + 1 =9;
V605746 = V342620 - 1 = 9 - 1 =8;
No other variables can be derived from V605746... | 10 | 352 | 4,000 | 173 | 1 | 8 | [
"V821629",
"V855098",
"V403585",
"V605746",
"V077584",
"V839664"
] | [
{
"content": "<context>\nassign V489610 = V305738 - 1. assign V341930 = V878220. assign V756830 = V142836 + 1. assign V450608 = V351261 - 1. assign V220856 = V749350. assign V210129 = V894755. assign V479637 = V139985 + 1. assign V866300 = V407631. assign V343832 = V383195 + 1. assign V543114 = V793828. assign ... | [
{
"content": "<context>\nassign V489610 = V305738 - 1. assign V341930 = V878220. assign V756830 = V142836 + 1. assign V450608 = V351261 - 1. assign V220856 = V749350. assign V210129 = V894755. assign V479637 = V139985 + 1. assign V866300 = V407631. assign V343832 = V383195 + 1. assign V543114 = V793828. assign ... | 351 | 0.02849 |
assign V722740 = V361968 + 1. assign V834788 = V361968 - 1. assign V866396 = V526369 + 1. assign V780887 = V657460 - 1. assign V729844 = V633196 + 1. assign V321491 = V685251 - 1. assign V752572 = V610231. assign V839302 = V085273 - 1. assign V050924 = V717857. assign V719547 = V371956 - 1. assign V637873 = V209481. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 5.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V427010 = 6;
From these direct assignment(s), we have:
V705565 = V427010 - 1 = 6 - 1 =5;
V751001 = V705565 - 1 = 5 - 1 =4;
No other variables can be derived from V751001;
V643072 = V705565 = 5;
V428778 = V643072 + 1 = 5 + 1 =6;
No other variables can be derived from V428778... | 10 | 352 | 4,000 | 174 | 1 | 5 | [
"V705565",
"V643072",
"V836572",
"V649911"
] | [
{
"content": "<context>\nassign V722740 = V361968 + 1. assign V834788 = V361968 - 1. assign V866396 = V526369 + 1. assign V780887 = V657460 - 1. assign V729844 = V633196 + 1. assign V321491 = V685251 - 1. assign V752572 = V610231. assign V839302 = V085273 - 1. assign V050924 = V717857. assign V719547 = V371956 ... | [
{
"content": "<context>\nassign V722740 = V361968 + 1. assign V834788 = V361968 - 1. assign V866396 = V526369 + 1. assign V780887 = V657460 - 1. assign V729844 = V633196 + 1. assign V321491 = V685251 - 1. assign V752572 = V610231. assign V839302 = V085273 - 1. assign V050924 = V717857. assign V719547 = V371956 ... | 351 | 0.02849 |
assign V504422 = V707382 - 1. assign V432552 = V467351 - 1. assign V315770 = V235401 + 1. assign V069741 = V302402 + 1. assign V467351 = V502156. assign V711631 = V176752 + 1. assign V474243 = V214537 - 1. assign V979181 = V072056 + 1. assign V748000 = V315770 + 1. assign V622766 = V467351 - 1. assign V661312 = V502172... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 1.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V972440 = 1;
From these direct assignment(s), we have:
V742995 = V972440 = 1;
V988865 = V742995 = 1;
No other variables can be derived from V988865;
No other variables can be derived from V742995;
V265912 = V972440 + 1 = 1 + 1 =2;
No other variables can be derived from V265... | 10 | 352 | 4,000 | 175 | 1 | 1 | [
"V972440",
"V742995",
"V988865"
] | [
{
"content": "<context>\nassign V504422 = V707382 - 1. assign V432552 = V467351 - 1. assign V315770 = V235401 + 1. assign V069741 = V302402 + 1. assign V467351 = V502156. assign V711631 = V176752 + 1. assign V474243 = V214537 - 1. assign V979181 = V072056 + 1. assign V748000 = V315770 + 1. assign V622766 = V467... | [
{
"content": "<context>\nassign V504422 = V707382 - 1. assign V432552 = V467351 - 1. assign V315770 = V235401 + 1. assign V069741 = V302402 + 1. assign V467351 = V502156. assign V711631 = V176752 + 1. assign V474243 = V214537 - 1. assign V979181 = V072056 + 1. assign V748000 = V315770 + 1. assign V622766 = V467... | 351 | 0.02849 |
assign V608507 = V968262. assign V122559 = V883103 - 1. assign V439881 = V042361 + 1. assign V595967 = V072260 + 1. assign V381185 = V361302 + 1. assign V912761 = V639886. assign V549989 = V697509 + 1. assign V321782 = V671329. assign V799765 = V143283. assign V376145 = V525607. assign V229975 = V983368. assign V991539... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 5.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V156076 = 4;
From these direct assignment(s), we have:
V818840 = V156076 + 1 = 4 + 1 =5;
V777335 = V818840 = 5;
No other variables can be derived from V777335;
V318696 = V818840 = 5;
No other variables can be derived from V318696;
V550531 = V818840 = 5;
No other variables c... | 10 | 352 | 4,000 | 176 | 1 | 5 | [
"V818840",
"V777335",
"V550531",
"V318696",
"V456653"
] | [
{
"content": "<context>\nassign V608507 = V968262. assign V122559 = V883103 - 1. assign V439881 = V042361 + 1. assign V595967 = V072260 + 1. assign V381185 = V361302 + 1. assign V912761 = V639886. assign V549989 = V697509 + 1. assign V321782 = V671329. assign V799765 = V143283. assign V376145 = V525607. assign ... | [
{
"content": "<context>\nassign V608507 = V968262. assign V122559 = V883103 - 1. assign V439881 = V042361 + 1. assign V595967 = V072260 + 1. assign V381185 = V361302 + 1. assign V912761 = V639886. assign V549989 = V697509 + 1. assign V321782 = V671329. assign V799765 = V143283. assign V376145 = V525607. assign ... | 351 | 0.02849 |
assign V866886 = V111717 - 1. assign V049612 = V201610 - 1. assign V117409 = V875469. assign V334192 = V779933. assign V899480 = V763866 - 1. assign V471952 = V490742 - 1. assign V062134 = V326597 - 1. assign V635437 = V929752 - 1. assign V133658 = V672517. assign V433958 = V863277 - 1. assign V092860 = V805290 + 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 3.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V285508 = 4;
From these direct assignment(s), we have:
V876344 = V285508 + 1 = 4 + 1 =5;
V402916 = V876344 - 1 = 5 - 1 =4;
V248704 = V402916 = 4;
No other variables can be derived from V248704;
No other variables can be derived from V402916;
V817968 = V876344 - 1 = 5 - 1 =4... | 10 | 352 | 4,000 | 177 | 1 | 3 | [
"V165298",
"V282034"
] | [
{
"content": "<context>\nassign V866886 = V111717 - 1. assign V049612 = V201610 - 1. assign V117409 = V875469. assign V334192 = V779933. assign V899480 = V763866 - 1. assign V471952 = V490742 - 1. assign V062134 = V326597 - 1. assign V635437 = V929752 - 1. assign V133658 = V672517. assign V433958 = V863277 - 1.... | [
{
"content": "<context>\nassign V866886 = V111717 - 1. assign V049612 = V201610 - 1. assign V117409 = V875469. assign V334192 = V779933. assign V899480 = V763866 - 1. assign V471952 = V490742 - 1. assign V062134 = V326597 - 1. assign V635437 = V929752 - 1. assign V133658 = V672517. assign V433958 = V863277 - 1.... | 351 | 0.02849 |
assign V677313 = V506210 - 1. assign V705578 = V279054 + 1. assign V787738 = V720581 - 1. assign V511029 = V406757 - 1. assign V410564 = V567244. assign V466760 = V830597 + 1. assign V455725 = V182534 + 1. assign V342635 = V080020. assign V536996 = V009364 + 1. assign V488969 = V337618 + 1. assign V395018 = V753418 + 1... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 3.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V316353 = 0;
From these direct assignment(s), we have:
V689600 = V316353 = 0;
No other variables can be derived from V689600;
V090922 = V316353 + 1 = 0 + 1 =1;
V191166 = V090922 + 1 = 1 + 1 =2;
V188683 = V191166 - 1 = 2 - 1 =1;
No other variables can be derived from V188683... | 10 | 352 | 4,000 | 178 | 1 | 3 | [
"V333677",
"V821429",
"V531538",
"V604693",
"V170454"
] | [
{
"content": "<context>\nassign V677313 = V506210 - 1. assign V705578 = V279054 + 1. assign V787738 = V720581 - 1. assign V511029 = V406757 - 1. assign V410564 = V567244. assign V466760 = V830597 + 1. assign V455725 = V182534 + 1. assign V342635 = V080020. assign V536996 = V009364 + 1. assign V488969 = V337618 ... | [
{
"content": "<context>\nassign V677313 = V506210 - 1. assign V705578 = V279054 + 1. assign V787738 = V720581 - 1. assign V511029 = V406757 - 1. assign V410564 = V567244. assign V466760 = V830597 + 1. assign V455725 = V182534 + 1. assign V342635 = V080020. assign V536996 = V009364 + 1. assign V488969 = V337618 ... | 351 | 0.02849 |
assign V716175 = V640945 + 1. assign V623913 = V681412. assign V408443 = V150396. assign V235003 = V572307 + 1. assign V883530 = V478328 + 1. assign V906558 = V588648 - 1. assign V928033 = V725393 - 1. assign V905615 = V364116. assign V215097 = V996086 - 1. assign V478328 = V906558 - 1. assign V422830 = V588648 + 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 2.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V647739 = 2;
From these direct assignment(s), we have:
V553116 = V647739 + 1 = 2 + 1 =3;
No other variables can be derived from V553116;
V794068 = V647739 - 1 = 2 - 1 =1;
V294695 = V794068 + 1 = 1 + 1 =2;
No other variables can be derived from V294695;
No other variables ca... | 10 | 352 | 4,000 | 179 | 1 | 2 | [
"V647739",
"V531310",
"V294695"
] | [
{
"content": "<context>\nassign V716175 = V640945 + 1. assign V623913 = V681412. assign V408443 = V150396. assign V235003 = V572307 + 1. assign V883530 = V478328 + 1. assign V906558 = V588648 - 1. assign V928033 = V725393 - 1. assign V905615 = V364116. assign V215097 = V996086 - 1. assign V478328 = V906558 - 1.... | [
{
"content": "<context>\nassign V716175 = V640945 + 1. assign V623913 = V681412. assign V408443 = V150396. assign V235003 = V572307 + 1. assign V883530 = V478328 + 1. assign V906558 = V588648 - 1. assign V928033 = V725393 - 1. assign V905615 = V364116. assign V215097 = V996086 - 1. assign V478328 = V906558 - 1.... | 351 | 0.02849 |
assign V390988 = V202695 - 1. assign V371213 = V721396. assign V085248 = V492560 - 1. assign V882081 = V810870. assign V447931 = V550519 - 1. assign V666461 = V869930 - 1. assign V613552 = V041811 - 1. assign V086773 = V289877 - 1. assign V480729 = V799155 + 1. assign V192315 = V326086. assign V832861 = V229727 - 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to -1.
Show your step-by-step reasoning and calculations, ... | First, there are such direct assignment(s):
V454805 = 0;
From these direct assignment(s), we have:
V697285 = V454805 = 0;
V701871 = V697285 + 1 = 0 + 1 =1;
No other variables can be derived from V701871;
V035564 = V697285 - 1 = 0 - 1 =-1;
No other variables can be derived from V035564;
No other variables can be deriv... | 10 | 352 | 4,000 | 180 | 1 | -1 | [
"V752988",
"V035564"
] | [
{
"content": "<context>\nassign V390988 = V202695 - 1. assign V371213 = V721396. assign V085248 = V492560 - 1. assign V882081 = V810870. assign V447931 = V550519 - 1. assign V666461 = V869930 - 1. assign V613552 = V041811 - 1. assign V086773 = V289877 - 1. assign V480729 = V799155 + 1. assign V192315 = V326086.... | [
{
"content": "<context>\nassign V390988 = V202695 - 1. assign V371213 = V721396. assign V085248 = V492560 - 1. assign V882081 = V810870. assign V447931 = V550519 - 1. assign V666461 = V869930 - 1. assign V613552 = V041811 - 1. assign V086773 = V289877 - 1. assign V480729 = V799155 + 1. assign V192315 = V326086.... | 351 | 0.02849 |
assign V453639 = V022219 + 1. assign V603891 = V634800 + 1. assign V580234 = V891236 + 1. assign V423498 = V696865. assign V136902 = V040712. assign V758183 = V189793 + 1. assign V272025 = V857325 + 1. assign V678100 = V053612 + 1. assign V571066 = V605587 + 1. assign V398676 = V185103. assign V209175 = V785225 + 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 7.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V746860 = 7;
From these direct assignment(s), we have:
V517358 = V746860 - 1 = 7 - 1 =6;
No other variables can be derived from V517358;
V685046 = V746860 + 1 = 7 + 1 =8;
V094505 = V685046 - 1 = 8 - 1 =7;
V111363 = V094505 + 1 = 7 + 1 =8;
No other variables can be derived f... | 10 | 352 | 4,000 | 181 | 1 | 7 | [
"V746860",
"V094505",
"V080978",
"V144451",
"V877734"
] | [
{
"content": "<context>\nassign V453639 = V022219 + 1. assign V603891 = V634800 + 1. assign V580234 = V891236 + 1. assign V423498 = V696865. assign V136902 = V040712. assign V758183 = V189793 + 1. assign V272025 = V857325 + 1. assign V678100 = V053612 + 1. assign V571066 = V605587 + 1. assign V398676 = V185103.... | [
{
"content": "<context>\nassign V453639 = V022219 + 1. assign V603891 = V634800 + 1. assign V580234 = V891236 + 1. assign V423498 = V696865. assign V136902 = V040712. assign V758183 = V189793 + 1. assign V272025 = V857325 + 1. assign V678100 = V053612 + 1. assign V571066 = V605587 + 1. assign V398676 = V185103.... | 351 | 0.02849 |
assign V640754 = V619210 - 1. assign V844346 = V506865 - 1. assign V719488 = V898121 - 1. assign V855964 = V628095 - 1. assign V148549 = V830548 - 1. assign V104567 = V296984. assign V294079 = V537830 - 1. assign V860546 = V352290. assign V700559 = V074914 - 1. assign V303654 = V661955. assign V706107 = V031871. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 7.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V805229 = 8;
From these direct assignment(s), we have:
V030047 = V805229 - 1 = 8 - 1 =7;
V385933 = V030047 = 7;
V789551 = V385933 + 1 = 7 + 1 =8;
No other variables can be derived from V789551;
No other variables can be derived from V385933;
No other variables can be derive... | 10 | 352 | 4,000 | 182 | 1 | 7 | [
"V269151",
"V030047",
"V385933",
"V839430",
"V370298"
] | [
{
"content": "<context>\nassign V640754 = V619210 - 1. assign V844346 = V506865 - 1. assign V719488 = V898121 - 1. assign V855964 = V628095 - 1. assign V148549 = V830548 - 1. assign V104567 = V296984. assign V294079 = V537830 - 1. assign V860546 = V352290. assign V700559 = V074914 - 1. assign V303654 = V661955.... | [
{
"content": "<context>\nassign V640754 = V619210 - 1. assign V844346 = V506865 - 1. assign V719488 = V898121 - 1. assign V855964 = V628095 - 1. assign V148549 = V830548 - 1. assign V104567 = V296984. assign V294079 = V537830 - 1. assign V860546 = V352290. assign V700559 = V074914 - 1. assign V303654 = V661955.... | 351 | 0.02849 |
assign V914375 = V739016 + 1. assign V705568 = V045042 - 1. assign V022946 = V398234. assign V842545 = V463157. assign V746576 = V611615. assign V959287 = V301868 - 1. assign V173978 = V045042 - 1. assign V922409 = V022946. assign V361342 = V436975 + 1. assign V138715 = V897131 - 1. assign V764633 = V449184 + 1. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 9.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V638317 = 9;
From these direct assignment(s), we have:
V592960 = V638317 + 1 = 9 + 1 =10;
V362916 = V592960 = 10;
V805142 = V362916 - 1 = 10 - 1 =9;
No other variables can be derived from V805142;
No other variables can be derived from V362916;
V920948 = V592960 - 1 = 10 - ... | 10 | 352 | 4,000 | 183 | 1 | 9 | [
"V638317",
"V405965",
"V920948",
"V805142"
] | [
{
"content": "<context>\nassign V914375 = V739016 + 1. assign V705568 = V045042 - 1. assign V022946 = V398234. assign V842545 = V463157. assign V746576 = V611615. assign V959287 = V301868 - 1. assign V173978 = V045042 - 1. assign V922409 = V022946. assign V361342 = V436975 + 1. assign V138715 = V897131 - 1. ass... | [
{
"content": "<context>\nassign V914375 = V739016 + 1. assign V705568 = V045042 - 1. assign V022946 = V398234. assign V842545 = V463157. assign V746576 = V611615. assign V959287 = V301868 - 1. assign V173978 = V045042 - 1. assign V922409 = V022946. assign V361342 = V436975 + 1. assign V138715 = V897131 - 1. ass... | 351 | 0.02849 |
assign V275249 = V193402 + 1. assign V480664 = V229597 + 1. assign V169406 = V568679 + 1. assign V769283 = V781913 - 1. assign V727785 = V721379 + 1. assign V568374 = V443819. assign V380055 = V214923 - 1. assign V242312 = V003362 + 1. assign V901749 = V293214 - 1. assign V031651 = V852725 + 1. assign V387331 = V443819... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 7.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V290913 = 10;
From these direct assignment(s), we have:
V319417 = V290913 - 1 = 10 - 1 =9;
V235794 = V319417 = 9;
No other variables can be derived from V235794;
No other variables can be derived from V319417;
V512833 = V290913 - 1 = 10 - 1 =9;
V955831 = V512833 - 1 = 9 - 1... | 10 | 352 | 4,000 | 184 | 1 | 7 | [
"V053131",
"V457272"
] | [
{
"content": "<context>\nassign V275249 = V193402 + 1. assign V480664 = V229597 + 1. assign V169406 = V568679 + 1. assign V769283 = V781913 - 1. assign V727785 = V721379 + 1. assign V568374 = V443819. assign V380055 = V214923 - 1. assign V242312 = V003362 + 1. assign V901749 = V293214 - 1. assign V031651 = V852... | [
{
"content": "<context>\nassign V275249 = V193402 + 1. assign V480664 = V229597 + 1. assign V169406 = V568679 + 1. assign V769283 = V781913 - 1. assign V727785 = V721379 + 1. assign V568374 = V443819. assign V380055 = V214923 - 1. assign V242312 = V003362 + 1. assign V901749 = V293214 - 1. assign V031651 = V852... | 351 | 0.02849 |
assign V856575 = V660886 + 1. assign V311224 = V751235 + 1. assign V171568 = V358616 + 1. assign V520854 = V347700 + 1. assign V739755 = V889193 - 1. assign V297260 = V660886 - 1. assign V266818 = V889193 + 1. assign V069527 = V078526 + 1. assign V720547 = V771502. assign V544874 = V755840. assign V824816 = V382997 + 1... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 11.
Show your step-by-step reasoning and calculations, ... | First, there are such direct assignment(s):
V744174 = 10;
From these direct assignment(s), we have:
V516967 = V744174 + 1 = 10 + 1 =11;
V774639 = V516967 = 11;
No other variables can be derived from V774639;
V816156 = V516967 - 1 = 11 - 1 =10;
V304321 = V816156 + 1 = 10 + 1 =11;
No other variables can be derived from... | 10 | 352 | 4,000 | 185 | 1 | 11 | [
"V516967",
"V304321",
"V774639"
] | [
{
"content": "<context>\nassign V856575 = V660886 + 1. assign V311224 = V751235 + 1. assign V171568 = V358616 + 1. assign V520854 = V347700 + 1. assign V739755 = V889193 - 1. assign V297260 = V660886 - 1. assign V266818 = V889193 + 1. assign V069527 = V078526 + 1. assign V720547 = V771502. assign V544874 = V755... | [
{
"content": "<context>\nassign V856575 = V660886 + 1. assign V311224 = V751235 + 1. assign V171568 = V358616 + 1. assign V520854 = V347700 + 1. assign V739755 = V889193 - 1. assign V297260 = V660886 - 1. assign V266818 = V889193 + 1. assign V069527 = V078526 + 1. assign V720547 = V771502. assign V544874 = V755... | 351 | 0.02849 |
assign V744055 = V401372 - 1. assign V904719 = V108794. assign V899378 = V215128 - 1. assign V597400 = V594578 + 1. assign V032615 = V617469. assign V850592 = V590020. assign V128795 = V415341 - 1. assign V499078 = V366222. assign V668569 = V727134 - 1. assign V004383 = V320369 + 1. assign V352885 = V286845 + 1. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 10.
Show your step-by-step reasoning and calculations, ... | First, there are such direct assignment(s):
V391787 = 9;
From these direct assignment(s), we have:
V033554 = V391787 + 1 = 9 + 1 =10;
V984279 = V033554 + 1 = 10 + 1 =11;
V621085 = V984279 - 1 = 11 - 1 =10;
V925499 = V621085 - 1 = 10 - 1 =9;
V539935 = V925499 + 1 = 9 + 1 =10;
No other variables can be derived from V53... | 10 | 352 | 4,000 | 186 | 1 | 10 | [
"V033554",
"V621085",
"V539935"
] | [
{
"content": "<context>\nassign V744055 = V401372 - 1. assign V904719 = V108794. assign V899378 = V215128 - 1. assign V597400 = V594578 + 1. assign V032615 = V617469. assign V850592 = V590020. assign V128795 = V415341 - 1. assign V499078 = V366222. assign V668569 = V727134 - 1. assign V004383 = V320369 + 1. ass... | [
{
"content": "<context>\nassign V744055 = V401372 - 1. assign V904719 = V108794. assign V899378 = V215128 - 1. assign V597400 = V594578 + 1. assign V032615 = V617469. assign V850592 = V590020. assign V128795 = V415341 - 1. assign V499078 = V366222. assign V668569 = V727134 - 1. assign V004383 = V320369 + 1. ass... | 351 | 0.02849 |
assign V296506 = V459269 - 1. assign V040548 = V305437. assign V124321 = V458238 + 1. assign V396267 = V789341. assign V830206 = V768213 + 1. assign V750470 = V322134. assign V396529 = V474408. assign V596538 = V220045. assign V196716 = V193263 + 1. assign V070281 = V305845. assign V342916 = V717799 + 1. assign V114961... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 5.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V075074 = 7;
From these direct assignment(s), we have:
V386568 = V075074 = 7;
V634714 = V386568 - 1 = 7 - 1 =6;
V107644 = V634714 = 6;
V970072 = V107644 + 1 = 6 + 1 =7;
V516803 = V970072 = 7;
No other variables can be derived from V516803;
No other variables can be derived ... | 10 | 352 | 4,000 | 187 | 1 | 5 | [
"V165974"
] | [
{
"content": "<context>\nassign V296506 = V459269 - 1. assign V040548 = V305437. assign V124321 = V458238 + 1. assign V396267 = V789341. assign V830206 = V768213 + 1. assign V750470 = V322134. assign V396529 = V474408. assign V596538 = V220045. assign V196716 = V193263 + 1. assign V070281 = V305845. assign V342... | [
{
"content": "<context>\nassign V296506 = V459269 - 1. assign V040548 = V305437. assign V124321 = V458238 + 1. assign V396267 = V789341. assign V830206 = V768213 + 1. assign V750470 = V322134. assign V396529 = V474408. assign V596538 = V220045. assign V196716 = V193263 + 1. assign V070281 = V305845. assign V342... | 351 | 0.02849 |
assign V674121 = V807128 - 1. assign V754431 = V829359 + 1. assign V026692 = V177006. assign V681263 = V293842. assign V278035 = V753755 - 1. assign V959690 = V929861. assign V772178 = V128516 + 1. assign V365861 = V527187. assign V644834 = V458672 - 1. assign V708541 = V757894 + 1. assign V454491 = V607835 - 1. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 9.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V608451 = 10;
From these direct assignment(s), we have:
V605480 = V608451 - 1 = 10 - 1 =9;
No other variables can be derived from V605480;
V519232 = V608451 + 1 = 10 + 1 =11;
V832228 = V519232 = 11;
No other variables can be derived from V832228;
No other variables can be d... | 10 | 352 | 4,000 | 188 | 1 | 9 | [
"V138339",
"V605480",
"V091270",
"V926892",
"V968451"
] | [
{
"content": "<context>\nassign V674121 = V807128 - 1. assign V754431 = V829359 + 1. assign V026692 = V177006. assign V681263 = V293842. assign V278035 = V753755 - 1. assign V959690 = V929861. assign V772178 = V128516 + 1. assign V365861 = V527187. assign V644834 = V458672 - 1. assign V708541 = V757894 + 1. ass... | [
{
"content": "<context>\nassign V674121 = V807128 - 1. assign V754431 = V829359 + 1. assign V026692 = V177006. assign V681263 = V293842. assign V278035 = V753755 - 1. assign V959690 = V929861. assign V772178 = V128516 + 1. assign V365861 = V527187. assign V644834 = V458672 - 1. assign V708541 = V757894 + 1. ass... | 351 | 0.02849 |
assign V727906 = V493025. assign V025463 = V217086 - 1. assign V264318 = V374490 + 1. assign V459190 = V618966 + 1. assign V140999 = V565226 + 1. assign V843143 = V145654 - 1. assign V978567 = V779312. assign V884320 = V532527 + 1. assign V636809 = V881184 - 1. assign V485595 = V929477 - 1. assign V316740 = V754144 - 1... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 0.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V881184 = 0;
From these direct assignment(s), we have:
V462091 = V881184 - 1 = 0 - 1 =-1;
V318273 = V462091 - 1 = -1 - 1 =-2;
No other variables can be derived from V318273;
V012387 = V462091 + 1 = -1 + 1 =0;
No other variables can be derived from V012387;
No other variable... | 10 | 352 | 4,000 | 189 | 1 | 0 | [
"V881184",
"V183881",
"V012387",
"V929477"
] | [
{
"content": "<context>\nassign V727906 = V493025. assign V025463 = V217086 - 1. assign V264318 = V374490 + 1. assign V459190 = V618966 + 1. assign V140999 = V565226 + 1. assign V843143 = V145654 - 1. assign V978567 = V779312. assign V884320 = V532527 + 1. assign V636809 = V881184 - 1. assign V485595 = V929477 ... | [
{
"content": "<context>\nassign V727906 = V493025. assign V025463 = V217086 - 1. assign V264318 = V374490 + 1. assign V459190 = V618966 + 1. assign V140999 = V565226 + 1. assign V843143 = V145654 - 1. assign V978567 = V779312. assign V884320 = V532527 + 1. assign V636809 = V881184 - 1. assign V485595 = V929477 ... | 351 | 0.02849 |
assign V883961 = V917975 - 1. assign V730630 = V539646. assign V348334 = V091998 - 1. assign V855553 = V973334 + 1. assign V012221 = V855553 - 1. assign V744606 = V478658. assign V790188 = V349179 + 1. assign V431055 = V055953 - 1. assign V102834 = V031829 - 1. assign V478658 = V483799 + 1. assign V788458 = V081908 - 1... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 1.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V714310 = 4;
From these direct assignment(s), we have:
V055953 = V714310 - 1 = 4 - 1 =3;
V010396 = V055953 + 1 = 3 + 1 =4;
No other variables can be derived from V010396;
V431055 = V055953 - 1 = 3 - 1 =2;
V614786 = V431055 + 1 = 2 + 1 =3;
V139182 = V614786 + 1 = 3 + 1 =4;
N... | 10 | 352 | 4,000 | 190 | 1 | 1 | [
"V136509",
"V561147"
] | [
{
"content": "<context>\nassign V883961 = V917975 - 1. assign V730630 = V539646. assign V348334 = V091998 - 1. assign V855553 = V973334 + 1. assign V012221 = V855553 - 1. assign V744606 = V478658. assign V790188 = V349179 + 1. assign V431055 = V055953 - 1. assign V102834 = V031829 - 1. assign V478658 = V483799 ... | [
{
"content": "<context>\nassign V883961 = V917975 - 1. assign V730630 = V539646. assign V348334 = V091998 - 1. assign V855553 = V973334 + 1. assign V012221 = V855553 - 1. assign V744606 = V478658. assign V790188 = V349179 + 1. assign V431055 = V055953 - 1. assign V102834 = V031829 - 1. assign V478658 = V483799 ... | 351 | 0.02849 |
assign V250693 = V160746 - 1. assign V524469 = V787971 + 1. assign V930479 = V913785. assign V289901 = V816228 - 1. assign V197226 = V528202. assign V394839 = V457308 - 1. assign V611610 = V587273. assign V562632 = V138856. assign V363542 = V410410 - 1. assign V950675 = V457308. assign V133131 = V260053 - 1. assign V13... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 0.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V165165 = 1;
From these direct assignment(s), we have:
V296129 = V165165 - 1 = 1 - 1 =0;
No other variables can be derived from V296129;
V816330 = V165165 + 1 = 1 + 1 =2;
V679440 = V816330 + 1 = 2 + 1 =3;
No other variables can be derived from V679440;
V657679 = V816330 + 1... | 10 | 352 | 4,000 | 191 | 1 | 0 | [
"V966265",
"V296129",
"V703870"
] | [
{
"content": "<context>\nassign V250693 = V160746 - 1. assign V524469 = V787971 + 1. assign V930479 = V913785. assign V289901 = V816228 - 1. assign V197226 = V528202. assign V394839 = V457308 - 1. assign V611610 = V587273. assign V562632 = V138856. assign V363542 = V410410 - 1. assign V950675 = V457308. assign ... | [
{
"content": "<context>\nassign V250693 = V160746 - 1. assign V524469 = V787971 + 1. assign V930479 = V913785. assign V289901 = V816228 - 1. assign V197226 = V528202. assign V394839 = V457308 - 1. assign V611610 = V587273. assign V562632 = V138856. assign V363542 = V410410 - 1. assign V950675 = V457308. assign ... | 351 | 0.02849 |
assign V851188 = V440209 - 1. assign V892503 = V812720 + 1. assign V791456 = V122410 + 1. assign V885617 = V724983 + 1. assign V667866 = V338942 - 1. assign V631847 = V157570. assign V089246 = V358806 - 1. assign V403767 = V851188 + 1. assign V540793 = V825360. assign V706128 = V871065 - 1. assign V382145 = V388915 - 1... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 7.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V150114 = 7;
From these direct assignment(s), we have:
V903609 = V150114 - 1 = 7 - 1 =6;
V040656 = V903609 - 1 = 6 - 1 =5;
No other variables can be derived from V040656;
No other variables can be derived from V903609;
V965309 = V150114 = 7;
V126703 = V965309 = 7;
No other ... | 10 | 352 | 4,000 | 192 | 1 | 7 | [
"V150114",
"V965309",
"V604314",
"V267228",
"V126703"
] | [
{
"content": "<context>\nassign V851188 = V440209 - 1. assign V892503 = V812720 + 1. assign V791456 = V122410 + 1. assign V885617 = V724983 + 1. assign V667866 = V338942 - 1. assign V631847 = V157570. assign V089246 = V358806 - 1. assign V403767 = V851188 + 1. assign V540793 = V825360. assign V706128 = V871065 ... | [
{
"content": "<context>\nassign V851188 = V440209 - 1. assign V892503 = V812720 + 1. assign V791456 = V122410 + 1. assign V885617 = V724983 + 1. assign V667866 = V338942 - 1. assign V631847 = V157570. assign V089246 = V358806 - 1. assign V403767 = V851188 + 1. assign V540793 = V825360. assign V706128 = V871065 ... | 351 | 0.02849 |
assign V346104 = V072229 - 1. assign V358707 = V874515 - 1. assign V864251 = V076121. assign V638725 = V221000 - 1. assign V448511 = V850389 - 1. assign V334492 = V118705 + 1. assign V246518 = V513194 + 1. assign V775739 = V252954 - 1. assign V850619 = V441385 + 1. assign V040173 = V702514. assign V942315 = V737010 - 1... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 5.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V505441 = 4;
From these direct assignment(s), we have:
V575080 = V505441 + 1 = 4 + 1 =5;
V667750 = V575080 = 5;
V754742 = V667750 - 1 = 5 - 1 =4;
No other variables can be derived from V754742;
No other variables can be derived from V667750;
V023951 = V575080 = 5;
V689603 =... | 10 | 352 | 4,000 | 193 | 1 | 5 | [
"V575080",
"V667750",
"V023951",
"V076121",
"V864251",
"V865837"
] | [
{
"content": "<context>\nassign V346104 = V072229 - 1. assign V358707 = V874515 - 1. assign V864251 = V076121. assign V638725 = V221000 - 1. assign V448511 = V850389 - 1. assign V334492 = V118705 + 1. assign V246518 = V513194 + 1. assign V775739 = V252954 - 1. assign V850619 = V441385 + 1. assign V040173 = V702... | [
{
"content": "<context>\nassign V346104 = V072229 - 1. assign V358707 = V874515 - 1. assign V864251 = V076121. assign V638725 = V221000 - 1. assign V448511 = V850389 - 1. assign V334492 = V118705 + 1. assign V246518 = V513194 + 1. assign V775739 = V252954 - 1. assign V850619 = V441385 + 1. assign V040173 = V702... | 351 | 0.02849 |
assign V298900 = V752389. assign V908352 = V361314 + 1. assign V961569 = V002826 - 1. assign V882703 = V199306. assign V197845 = V427089 + 1. assign V856962 = V601797. assign V585995 = V527434 - 1. assign V513966 = V066432. assign V199306 = V927754 - 1. assign V844499 = V523634 - 1. assign V517307 = V615529. assign V61... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 9.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V376751 = 8;
From these direct assignment(s), we have:
V068128 = V376751 - 1 = 8 - 1 =7;
No other variables can be derived from V068128;
V208696 = V376751 - 1 = 8 - 1 =7;
V859728 = V208696 = 7;
No other variables can be derived from V859728;
No other variables can be derive... | 10 | 352 | 4,000 | 194 | 1 | 9 | [
"V137691",
"V950599",
"V706130"
] | [
{
"content": "<context>\nassign V298900 = V752389. assign V908352 = V361314 + 1. assign V961569 = V002826 - 1. assign V882703 = V199306. assign V197845 = V427089 + 1. assign V856962 = V601797. assign V585995 = V527434 - 1. assign V513966 = V066432. assign V199306 = V927754 - 1. assign V844499 = V523634 - 1. ass... | [
{
"content": "<context>\nassign V298900 = V752389. assign V908352 = V361314 + 1. assign V961569 = V002826 - 1. assign V882703 = V199306. assign V197845 = V427089 + 1. assign V856962 = V601797. assign V585995 = V527434 - 1. assign V513966 = V066432. assign V199306 = V927754 - 1. assign V844499 = V523634 - 1. ass... | 351 | 0.02849 |
assign V227528 = V251011 + 1. assign V825054 = V667241 - 1. assign V929764 = V114196 - 1. assign V415211 = V500122. assign V269058 = V901210 - 1. assign V381709 = V682237. assign V982011 = V577515. assign V177363 = V446717. assign V294403 = V915178 - 1. assign V341826 = V618122 + 1. assign V078299 = V839684 - 1. assign... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 4.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V823876 = 4;
From these direct assignment(s), we have:
V514455 = V823876 + 1 = 4 + 1 =5;
V381143 = V514455 - 1 = 5 - 1 =4;
V538745 = V381143 - 1 = 4 - 1 =3;
V574273 = V538745 = 3;
V634312 = V574273 + 1 = 3 + 1 =4;
V178548 = V634312 - 1 = 4 - 1 =3;
No other variables can be ... | 10 | 352 | 4,000 | 195 | 1 | 4 | [
"V823876",
"V654011",
"V381143",
"V673647",
"V634312"
] | [
{
"content": "<context>\nassign V227528 = V251011 + 1. assign V825054 = V667241 - 1. assign V929764 = V114196 - 1. assign V415211 = V500122. assign V269058 = V901210 - 1. assign V381709 = V682237. assign V982011 = V577515. assign V177363 = V446717. assign V294403 = V915178 - 1. assign V341826 = V618122 + 1. ass... | [
{
"content": "<context>\nassign V227528 = V251011 + 1. assign V825054 = V667241 - 1. assign V929764 = V114196 - 1. assign V415211 = V500122. assign V269058 = V901210 - 1. assign V381709 = V682237. assign V982011 = V577515. assign V177363 = V446717. assign V294403 = V915178 - 1. assign V341826 = V618122 + 1. ass... | 351 | 0.02849 |
assign V385789 = V778504 - 1. assign V564313 = V764265 - 1. assign V210583 = V889902. assign V276834 = V388479. assign V235762 = V054375 - 1. assign V434932 = V603475 + 1. assign V846238 = V595310. assign V926220 = V405292 + 1. assign V431381 = V801979 - 1. assign V078436 = V797802 + 1. assign V417912 = V089906 - 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 6.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V082943 = 5;
From these direct assignment(s), we have:
V240874 = V082943 = 5;
V497797 = V240874 = 5;
V183133 = V497797 + 1 = 5 + 1 =6;
No other variables can be derived from V183133;
No other variables can be derived from V497797;
V855675 = V240874 + 1 = 5 + 1 =6;
V888092 =... | 10 | 352 | 4,000 | 196 | 1 | 6 | [
"V855675",
"V183133"
] | [
{
"content": "<context>\nassign V385789 = V778504 - 1. assign V564313 = V764265 - 1. assign V210583 = V889902. assign V276834 = V388479. assign V235762 = V054375 - 1. assign V434932 = V603475 + 1. assign V846238 = V595310. assign V926220 = V405292 + 1. assign V431381 = V801979 - 1. assign V078436 = V797802 + 1.... | [
{
"content": "<context>\nassign V385789 = V778504 - 1. assign V564313 = V764265 - 1. assign V210583 = V889902. assign V276834 = V388479. assign V235762 = V054375 - 1. assign V434932 = V603475 + 1. assign V846238 = V595310. assign V926220 = V405292 + 1. assign V431381 = V801979 - 1. assign V078436 = V797802 + 1.... | 351 | 0.02849 |
assign V986343 = V011721 + 1. assign V112486 = V822683 + 1. assign V324394 = V160139 + 1. assign V784953 = V323408 + 1. assign V065281 = V553096. assign V140695 = V863289 - 1. assign V303718 = V407599 + 1. assign V793529 = V144197. assign V555701 = V099829. assign V023641 = V193418 - 1. assign V712289 = V395372 - 1. as... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 9.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V236639 = 8;
From these direct assignment(s), we have:
V389466 = V236639 = 8;
V665489 = V389466 = 8;
V158457 = V665489 + 1 = 8 + 1 =9;
No other variables can be derived from V158457;
No other variables can be derived from V665489;
No other variables can be derived from V389... | 10 | 352 | 4,000 | 197 | 1 | 9 | [
"V213898",
"V718757",
"V158457"
] | [
{
"content": "<context>\nassign V986343 = V011721 + 1. assign V112486 = V822683 + 1. assign V324394 = V160139 + 1. assign V784953 = V323408 + 1. assign V065281 = V553096. assign V140695 = V863289 - 1. assign V303718 = V407599 + 1. assign V793529 = V144197. assign V555701 = V099829. assign V023641 = V193418 - 1.... | [
{
"content": "<context>\nassign V986343 = V011721 + 1. assign V112486 = V822683 + 1. assign V324394 = V160139 + 1. assign V784953 = V323408 + 1. assign V065281 = V553096. assign V140695 = V863289 - 1. assign V303718 = V407599 + 1. assign V793529 = V144197. assign V555701 = V099829. assign V023641 = V193418 - 1.... | 351 | 0.02849 |
assign V973281 = V788536. assign V294567 = V858969 - 1. assign V032266 = V398110 - 1. assign V427410 = V831099. assign V481400 = V045588. assign V799662 = V775168 + 1. assign V013715 = V738430 + 1. assign V672504 = V958358 + 1. assign V132591 = V427787 + 1. assign V447867 = V913854. assign V939745 = V276002. assign V02... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 8.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V045588 = 8;
From these direct assignment(s), we have:
V417001 = V045588 + 1 = 8 + 1 =9;
V402680 = V417001 - 1 = 9 - 1 =8;
No other variables can be derived from V402680;
V554354 = V417001 - 1 = 9 - 1 =8;
V199788 = V554354 + 1 = 8 + 1 =9;
No other variables can be derived f... | 10 | 352 | 4,000 | 198 | 1 | 8 | [
"V045588",
"V481400",
"V554354",
"V534930",
"V402680"
] | [
{
"content": "<context>\nassign V973281 = V788536. assign V294567 = V858969 - 1. assign V032266 = V398110 - 1. assign V427410 = V831099. assign V481400 = V045588. assign V799662 = V775168 + 1. assign V013715 = V738430 + 1. assign V672504 = V958358 + 1. assign V132591 = V427787 + 1. assign V447867 = V913854. ass... | [
{
"content": "<context>\nassign V973281 = V788536. assign V294567 = V858969 - 1. assign V032266 = V398110 - 1. assign V427410 = V831099. assign V481400 = V045588. assign V799662 = V775168 + 1. assign V013715 = V738430 + 1. assign V672504 = V958358 + 1. assign V132591 = V427787 + 1. assign V447867 = V913854. ass... | 351 | 0.02849 |
assign V948258 = V508059 + 1. assign V375894 = V350767 + 1. assign V650108 = V772994. assign V322280 = V682502 + 1. assign V296510 = V813011 - 1. assign V517713 = V513201. assign V735827 = V022489. assign V967169 = V502059. assign V886593 = V341378. assign V563169 = V562792 + 1. assign V750386 = V252933. assign V685573... | The context contains relationships between variables. These relationships are independent mathematical equations that are all satisfied simultaneously.
Using only these relationships, determine which variables (if any) from which values can be derived are equal to 5.
Show your step-by-step reasoning and calculations, a... | First, there are such direct assignment(s):
V172505 = 5;
From these direct assignment(s), we have:
V559677 = V172505 + 1 = 5 + 1 =6;
V465554 = V559677 - 1 = 6 - 1 =5;
No other variables can be derived from V465554;
No other variables can be derived from V559677;
V851780 = V172505 - 1 = 5 - 1 =4;
V137795 = V851780 + 1... | 10 | 352 | 4,000 | 199 | 1 | 5 | [
"V172505",
"V922180",
"V681900",
"V604734",
"V137795",
"V465554"
] | [
{
"content": "<context>\nassign V948258 = V508059 + 1. assign V375894 = V350767 + 1. assign V650108 = V772994. assign V322280 = V682502 + 1. assign V296510 = V813011 - 1. assign V517713 = V513201. assign V735827 = V022489. assign V967169 = V502059. assign V886593 = V341378. assign V563169 = V562792 + 1. assign ... | [
{
"content": "<context>\nassign V948258 = V508059 + 1. assign V375894 = V350767 + 1. assign V650108 = V772994. assign V322280 = V682502 + 1. assign V296510 = V813011 - 1. assign V517713 = V513201. assign V735827 = V022489. assign V967169 = V502059. assign V886593 = V341378. assign V563169 = V562792 + 1. assign ... | 351 | 0.02849 |
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