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 10 42k |
|---|---|---|---|---|---|---|---|---|---|---|
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[{"content":"If $a+b=1$, find the supremum of $$- \\frac {1}{2a}- \\frac {2}{b}.$$ Let's think step (...TRUNCATED) | 3/8 | math | {
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[{"content":"Given a positive integer \\( n \\) and a sequence of real numbers \\( a_{1}, a_{2}, \\c(...TRUNCATED) | 5/8 | math | {
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[{"content":"In Mr. Jacob's class, $12$ of the $20$ students received a 'B' on the latest exam. If t(...TRUNCATED) | 5/8 | math | {
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[{"content":"Prove that the reciprocal of the real root of the equation \\( x^3 - x + 1 = 0 \\) sati(...TRUNCATED) | 4/8 | math | {
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[{"content":"How many three-digit whole numbers have at least one 7 or at least one 9 as digits? Let(...TRUNCATED) | 6/8 | math | {
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[{"content":"The number of scalene triangles having all sides of integral lengths, and perimeter les(...TRUNCATED) | 1/8 | math | {
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[{"content":"$ABCDEFGH$ is a rectangular prism with $AB=CD=EF=GH=1$, $AD=BC=EH=FG=2$, and $AE=BF=CG=(...TRUNCATED) | 1/8 | math | {
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[{"content":"A smooth ball with a radius of 1 cm was dipped in red paint and set between two absolut(...TRUNCATED) | 6/8 | math | {
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} | [8160,579,264,7047,1817,310,11290,279,3377,25,271,16,13,220,2972,15771,2598,279,37630,321,18065,6470(...TRUNCATED) | [[-0.01029514241963625,-0.38753655552864075,-0.019626233726739883,-0.001560185570269823,-0.006349509(...TRUNCATED) | [[-0.017069686204195023,-0.009256306104362011,-0.012889640405774117,-0.00860081147402525,-0.00977420(...TRUNCATED) | [
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[{"content":"In a football tournament, 12 teams participated. By September, they played several game(...TRUNCATED) | 1/8 | math | {
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} | [8160,579,264,7047,1817,421,11177,310,279,6093,25,271,16,13,220,2972,2014,53983,279,21397,21085,6470(...TRUNCATED) | [[-0.0018352109473198652,-0.06332581490278244,-0.009529577568173409,-0.00900765135884285,-0.00459044(...TRUNCATED) | [[-0.008502474054694176,-0.016640555113554,-0.043061573058366776,-0.2360396385192871,-0.002055795397(...TRUNCATED) | [
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