data_source large_stringclasses 1
value | prompt listlengths 1 1 | difficulty large_stringclasses 8
values | ability large_stringclasses 1
value | reward_model dict | extra_info dict | responses listlengths 655k 655k | pos_old_log_probs listlengths 16 16 | neg_old_log_probs listlengths 16 16 | pre_reward listlengths 16 16 | __index_level_0__ int64 40 42.5k |
|---|---|---|---|---|---|---|---|---|---|---|
[{"content":"Are there five consecutive natural numbers such that if they are designated by the lett(...TRUNCATED) | 3/8 | math | {
"ground_truth": "No",
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"index": 40,
"split": "train"
} | [8160,369,264,7047,1817,310,22903,279,3377,25,271,16,13,220,2972,15771,2598,279,38622,64700,561,1605(...TRUNCATED) | [[-0.049330614507198334,-0.9871752262115479,-0.17723193764686584,-0.014268635772168636,-0.0094632152(...TRUNCATED) | [[-9.259300231933594,-4.421341419219971,-4.580945014953613,-8.597497940063477,-0.4502425193786621,-1(...TRUNCATED) | [
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[{"content":"A repunit is a positive integer, all of whose digits are 1s. Let $a_{1}<a_{2}<a_{3}<\\l(...TRUNCATED) | 2/8 | math | {
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} | [8160,579,264,7047,1817,421,11177,310,279,6093,25,271,16,13,220,2972,15771,2598,279,21397,64700,198,(...TRUNCATED) | [[-0.019242987036705017,-0.19070856273174286,-0.005155364517122507,-0.0016437364974990487,-0.0006629(...TRUNCATED) | [[-5.977985382080078,-6.340818405151367,-4.33132791519165,-11.525941848754883,-0.32751134037971497,-(...TRUNCATED) | [
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[{"content":"In a plane, two rectangular coordinate systems \\( O x y \\) and \\( O' x' y' \\) are c(...TRUNCATED) | 4/8 | math | {
"ground_truth": "Yes",
"style": "rule"
} | {
"index": 385,
"split": "train"
} | [8160,579,264,7047,1817,421,11177,310,279,6093,25,271,16,13,220,2972,2014,53983,279,21397,64700,198,(...TRUNCATED) | [[-0.016651811078190804,-0.5472921133041382,-0.04628460854291916,-0.014828816056251526,-0.0084538925(...TRUNCATED) | [[-7.800359725952148,-5.922868251800537,-4.482916355133057,-8.510202407836914,-0.8443303108215332,-3(...TRUNCATED) | [
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[{"content":"Find the smallest positive integer $k$ for which there exists a colouring of the posi(...TRUNCATED) | 1/8 | math | {
"ground_truth": "3",
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"index": 410,
"split": "train"
} | [9764,393,50,283,1088,10065,5876,90,57,49798,29,15,92,283,1088,90,16,11,220,17,11,220,18,11,1088,655(...TRUNCATED) | [[-3.064624547958374,-0.7165613770484924,-2.0723795890808105,-0.24525316059589386,-0.028649246320128(...TRUNCATED) | [[-7.6525959968566895,-3.730741024017334,-3.2207772731781006,-1.1315938234329224,-0.5324130058288574(...TRUNCATED) | [
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[{"content":"27 people went to a mall to buy water to drink. There was a promotion in the mall where(...TRUNCATED) | 7/8 | math | {
"ground_truth": "18",
"style": "rule"
} | {
"index": 429,
"split": "train"
} | [8160,579,264,7047,1817,421,11177,310,279,6093,25,271,16,13,220,2972,2014,53983,279,21397,64700,198,(...TRUNCATED) | [[-0.0008936702506616712,-0.034490421414375305,-0.0018588898237794638,-0.006041834596544504,-0.00192(...TRUNCATED) | [[-8.514795303344727,-7.5708489418029785,-7.300145149230957,-10.19072151184082,-0.29377633333206177,(...TRUNCATED) | [
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[{"content":"The real numbers \\( x_1, x_2, x_3, x_4 \\) are such that\n\n\\[\n\\begin{cases}\nx_1 +(...TRUNCATED) | 6/8 | math | {
"ground_truth": "37",
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} | {
"index": 430,
"split": "train"
} | [8160,369,821,3272,1817,364,21156,411,3377,25,271,16,13,220,2972,15771,2598,279,38622,64700,561,1605(...TRUNCATED) | [[-0.006280329078435898,-1.5048036575317383,-7.883975982666016,-0.018557850271463394,-0.000892002775(...TRUNCATED) | [[-9.205087661743164,-4.694472789764404,-14.125967979431152,-12.029356002807617,-0.6346345543861389,(...TRUNCATED) | [
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[{"content":"In the sum \\(1+3+9+27+81+243+729 \\), one can strike out any terms and change some sig(...TRUNCATED) | 7/8 | math | {
"ground_truth": "1093",
"style": "rule"
} | {
"index": 454,
"split": "train"
} | [8160,579,264,7047,1817,421,11177,310,279,6093,25,271,16,13,220,2972,2014,53983,279,21397,64700,198,(...TRUNCATED) | [[-0.00037305548903532326,-0.2529630661010742,-0.0023197426926344633,-0.0015918452991172671,-0.00131(...TRUNCATED) | [[-5.307751655578613,-6.664608001708984,-6.7429399490356445,-11.263354301452637,-0.2854541838169098,(...TRUNCATED) | [
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[{"content":"Let \\(a_{1}, a_{2}, \\cdots, a_{10}\\) be a random permutation of \\(1, 2, \\cdots, 10(...TRUNCATED) | 2/8 | math | {
"ground_truth": "\\frac{7}{90}",
"style": "rule"
} | {
"index": 462,
"split": "train"
} | [8160,579,264,7047,1817,310,11290,279,3377,25,271,16,13,220,2972,15771,2598,279,38622,64700,561,1605(...TRUNCATED) | [[-0.030542172491550446,-0.48147135972976685,-0.0012259118957445025,-0.002238389104604721,-0.0004638(...TRUNCATED) | [[-8.971334457397461,-7.679953575134277,-5.4127702713012695,-12.831380844116211,-0.1623980849981308,(...TRUNCATED) | [
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[{"content":"On the sides \\( AB \\) and \\( AC \\) of an acute triangle \\( ABC \\), there are mark(...TRUNCATED) | 2/8 | math | {
"ground_truth": "1",
"style": "rule"
} | {
"index": 476,
"split": "train"
} | [9764,279,16720,314,279,20837,381,393,32,11,417,11,351,12576,198,760,3387,393,42,3,321,393,43,3,513,(...TRUNCATED) | [[-3.0216853618621826,-1.489142894744873,-0.5750541090965271,-0.14465028047561646,-0.112185753881931(...TRUNCATED) | [[-10.003153800964355,-1.9457552433013916,-5.094945907592773,-0.9064812660217285,-1.0258384943008423(...TRUNCATED) | [
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[{"content":"Find the number of subsets $\\{a, b, c\\}$ of $\\{1,2,3,4, \\ldots, 20\\}$ such that $a(...TRUNCATED) | 6/8 | math | {
"ground_truth": "680",
"style": "rule"
} | {
"index": 543,
"split": "train"
} | [8160,579,264,7047,1817,421,11177,310,279,6093,25,271,16,13,220,2972,2014,53983,279,21397,64700,198,(...TRUNCATED) | [[-0.0012942517641931772,-0.2309695929288864,-0.0033014100044965744,-0.0004576589271891862,-0.000197(...TRUNCATED) | [[-9.593708038330078,-6.551813125610352,-7.581058502197266,-11.568373680114746,-0.14728663861751556,(...TRUNCATED) | [
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