prompt_text stringlengths 20 1.73k | prompt_ids listlengths 16 871 | decode_ids listlengths 1.02k 1.02k | prompt_pattern listlengths 27 27 | decode_pattern listlengths 27 27 |
|---|---|---|---|---|
Evaluate $\log_264$. | [
100000,
100000,
5726,
25,
98910,
628,
2034,
62,
17,
21,
19,
1332,
185,
185,
77398,
25
] | [1003,481,29948,628,2034,62,64,270,3,372,628,1122,478,2034,270,2521,2034,245,3001,1066,628,2034,270,(...TRUNCATED) | [[[14,34,42,2,47,40,1,53,15,16,5,51],[14,34,42,2,47,40,1,53,15,16,5,51],[34,61,42,35,1,58,27,57,10,3(...TRUNCATED) | [[[8,42,48,57,17,61,22,14,24,44,34,1],[17,36,30,11,57,22,40,8,18,39,4,43],[11,41,50,20,29,4,45,56,37(...TRUNCATED) |
Evaluate $\log_264$. | [
100000,
100000,
5726,
25,
98910,
628,
2034,
62,
17,
21,
19,
1332,
185,
185,
77398,
25
] | [1003,1121,276,1275,254,29511,276,588,395,1534,8476,207,17,279,1835,276,2903,207,16,17,19,13,185,774(...TRUNCATED) | [[[14,34,42,2,47,40,1,53,15,16,5,51],[14,34,42,2,47,40,1,53,15,16,5,51],[34,61,42,35,1,58,27,57,10,3(...TRUNCATED) | [[[8,42,48,57,17,61,22,14,24,44,34,1],[36,29,30,38,41,17,39,57,50,22,20,15],[17,53,9,52,39,32,11,21,(...TRUNCATED) |
Evaluate $\log_264$. | [
100000,
100000,
5726,
25,
98910,
628,
2034,
62,
17,
21,
19,
1332,
185,
185,
77398,
25
] | [1003,1121,276,1275,254,29511,276,588,395,1534,8476,207,17,276,752,207,17,21,19,13,185,774,750,3073,(...TRUNCATED) | [[[14,34,42,2,47,40,1,53,15,16,5,51],[14,34,42,2,47,40,1,53,15,16,5,51],[34,61,42,35,1,58,27,57,10,3(...TRUNCATED) | [[[8,42,48,57,17,61,22,14,24,44,34,1],[36,29,30,38,41,17,39,57,50,22,20,15],[17,53,9,52,39,32,11,21,(...TRUNCATED) |
Evaluate $\log_264$. | [
100000,
100000,
5726,
25,
98910,
628,
2034,
62,
17,
21,
19,
1332,
185,
185,
77398,
25
] | [1003,1121,276,1275,254,29511,276,588,207,17,1534,330,8473,276,752,207,16,17,19,13,185,774,750,3073,(...TRUNCATED) | [[[14,34,42,2,47,40,1,53,15,16,5,51],[14,34,42,2,47,40,1,53,15,16,5,51],[34,61,42,35,1,58,27,57,10,3(...TRUNCATED) | [[[8,42,48,57,17,61,22,14,24,44,34,1],[36,29,30,38,41,17,39,57,50,22,20,15],[17,53,9,52,39,32,11,21,(...TRUNCATED) |
Simplify $\sqrt{242}$. | [
100000,
100000,
5726,
25,
68246,
1904,
628,
4221,
90,
17,
19,
17,
3013,
185,
185,
77398,
25
] | [1003,481,27734,628,4221,90,17,19,17,759,457,1714,4815,636,254,8397,3224,7742,473,207,17,19,17,13,18(...TRUNCATED) | [[[14,34,42,2,47,40,1,53,15,16,5,51],[14,34,42,2,47,40,1,53,15,16,5,51],[34,61,42,35,1,58,27,57,10,3(...TRUNCATED) | [[[42,8,48,57,17,61,14,22,24,1,34,44],[17,36,30,11,57,22,40,8,18,39,4,61],[11,19,29,50,20,17,56,36,3(...TRUNCATED) |
Simplify $\sqrt{242}$. | [
100000,
100000,
5726,
25,
68246,
1904,
628,
4221,
90,
17,
19,
17,
3013,
185,
185,
77398,
25
] | [5512,363,16,16,61,17,28,16,17,16,1348,395,481,3708,363,17,19,17,28,17,17,61,17,10,17,59,3560,17,17,(...TRUNCATED) | [[[14,34,42,2,47,40,1,53,15,16,5,51],[14,34,42,2,47,40,1,53,15,16,5,51],[34,61,42,35,1,58,27,57,10,3(...TRUNCATED) | [[[56,42,15,8,14,53,57,9,38,45,20,34],[16,40,49,14,10,46,7,52,28,53,21,36],[26,44,36,17,22,61,3,0,30(...TRUNCATED) |
Simplify $\sqrt{242}$. | [
100000,
100000,
5726,
25,
68246,
1904,
628,
4221,
90,
17,
19,
17,
3013,
185,
185,
77398,
25
] | [1003,481,27734,628,4221,90,17,19,17,759,457,1714,4815,359,881,9966,8095,25,363,17,19,17,403,207,17,(...TRUNCATED) | [[[14,34,42,2,47,40,1,53,15,16,5,51],[14,34,42,2,47,40,1,53,15,16,5,51],[34,61,42,35,1,58,27,57,10,3(...TRUNCATED) | [[[42,8,48,57,17,61,14,22,24,1,34,44],[17,36,30,11,57,22,40,8,18,39,4,61],[11,19,29,50,20,17,56,36,3(...TRUNCATED) |
Simplify $\sqrt{242}$. | [
100000,
100000,
5726,
25,
68246,
1904,
628,
4221,
90,
17,
19,
17,
3013,
185,
185,
77398,
25
] | [1003,481,29948,363,17,19,17,3,372,363,17,17,17,17,3,285,363,17,17,17,17,1332,2928,11,395,481,6088,3(...TRUNCATED) | [[[14,34,42,2,47,40,1,53,15,16,5,51],[14,34,42,2,47,40,1,53,15,16,5,51],[34,61,42,35,1,58,27,57,10,3(...TRUNCATED) | [[[42,8,48,57,17,61,14,22,24,1,34,44],[17,36,30,11,57,22,40,8,18,39,4,61],[11,41,50,20,29,4,45,56,37(...TRUNCATED) |
Compute $\dbinom{31}{28}$. | [
100000,
100000,
5726,
25,
42131,
628,
67,
25111,
90,
18,
16,
1061,
17,
23,
3013,
185,
185,
77398,
25
] | [429,9452,327,628,25111,90,77,1061,74,759,317,628,1122,90,77,0,1061,74,40770,77,12,74,26555,3013,185(...TRUNCATED) | [[[14,34,42,2,47,40,1,53,15,16,5,51],[14,34,42,2,47,40,1,53,15,16,5,51],[34,61,42,35,1,58,27,57,10,3(...TRUNCATED) | [[[8,12,14,6,42,57,49,34,52,48,55,53],[63,23,45,59,20,35,4,32,55,62,37,57],[50,9,56,15,63,45,25,39,5(...TRUNCATED) |
Find the units digit of $18^6.$ | [
100000,
100000,
5726,
25,
11424,
254,
8650,
20319,
280,
363,
16,
23,
61,
21,
8892,
185,
185,
77398,
25
] | [1003,481,1275,254,7937,280,254,8650,33325,280,254,12056,280,207,16,23,25,185,3,16,23,61,16,3,643,24(...TRUNCATED) | [[[14,34,42,2,47,40,1,53,15,16,5,51],[14,34,42,2,47,40,1,53,15,16,5,51],[34,61,42,35,1,58,27,57,10,3(...TRUNCATED) | [[[8,42,48,57,17,61,14,24,22,1,34,62],[17,36,30,11,57,22,8,40,18,39,4,24],[41,11,50,38,29,36,20,17,6(...TRUNCATED) |
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