idx int64 0 5k | query stringlengths 20 2.2k | response stringlengths 1.13k 39.3k | solution stringclasses 825
values | token_ids listlengths 319 10k | logprobs listlengths 319 10k |
|---|---|---|---|---|---|
2,504 | Select 4 people from 4 boys and 3 girls to participate in a seminar, if these 4 people must include both boys and girls, then the total number of different selection methods is ____. (Answer with a number) | Okay, so I need to figure out how many ways there are to select 4 people from 4 boys and 3 girls, with the condition that the group must include both boys and girls. Let me think step by step.
First, without any restrictions, the total number of ways to choose 4 people from 7 (4 boys + 3 girls) would be the combinatio... | 34 | [
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2011,
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757,
1781,
... | [
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-0.000014781842764932662,
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-0.03804577514529228,
-0.3133420944213867,
-2.3841855067985307e-7,
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0,
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-0.0003359945258125663,
-0.007606471423059702,
-0.05428823456168175,
-0.000004172316494077677,
-1.192... |
3,408 | The Dorokhov family plans to purchase a vacation package to Crimea. The vacation will include the mother, father, and their eldest daughter Polina, who is 5 years old. They have chosen to stay at the "Bristol" hotel and have reached out to two travel agencies, "Globus" and "Around the World," to calculate the cost of t... | Okay, let's tackle this problem step by step. So the Dorokhov family wants to go on vacation to Crimea and they're comparing two travel agencies, Globus and Around the World. The family consists of the mother, father, and their 5-year-old daughter Polina. They're planning the trip from July 10 to July 18, 2021. I need ... | 58984 | [
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3070,... | [
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-1.1920928244535389e-7,
-0.000009894321920000948,
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-1.5470653772354126,
-0.225415... |
985 | "A school is forming a team for a debate competition, selecting 4 members from 6 students to serve a(...TRUNCATED) | "Okay, so the problem is about forming a debate team where we need to select 4 members from 6 studen(...TRUNCATED) | 180 | [33413,11,779,279,3575,374,922,30164,264,11249,2128,1405,584,1205,311,3373,220,19,3697,505,220,21,42(...TRUNCATED) | [-0.06312662363052368,-0.000010132738680113107,-0.4741026759147644,-1.466103196144104,-2.62260095951(...TRUNCATED) |
1,850 | Which integer is closest to the cube root of 100? | "Okay, so I need to figure out which integer is closest to the cube root of 100. Hmm, cube roots... (...TRUNCATED) | 5 | [33413,11,779,358,1205,311,7216,704,902,7698,374,18585,311,279,24671,3789,315,220,1041,13,89290,11,2(...TRUNCATED) | [-0.01872166059911251,-1.7881377516459906e-6,-0.04919273778796196,-0.0013260389678180218,-5.96046277(...TRUNCATED) |
1,807 | "Petya wrote a natural number \\( A \\) on the board. If you multiply it by 8, you get the square of(...TRUNCATED) | "Okay, so I have this problem here: Petya wrote a natural number A on the board. If you multiply it (...TRUNCATED) | 15 | [33413,11,779,358,617,420,3575,1618,25,393,2676,64,6267,264,5933,1396,362,389,279,4580,13,1442,499,3(...TRUNCATED) | [-0.049787573516368866,-0.000014781842764932662,-0.4287494122982025,-0.30788302421569824,-1.05604493(...TRUNCATED) |
837 | "Grandma gave Bryce and Carter some raisins. Bryce received 6 more raisins than Carter, and Carter r(...TRUNCATED) | "Okay, let's see. Grandma gave some raisins to Bryce and Carter. The problem says Bryce got 6 more r(...TRUNCATED) | 12 | [33413,11,1095,596,1518,13,99068,6688,1063,6503,1354,311,84124,323,25581,13,578,3575,2795,84124,2751(...TRUNCATED) | [-0.020808136090636253,-7.390948667307384e-6,-0.3488359749317169,-0.31326520442962646,-0.06590344756(...TRUNCATED) |
902 | "The graphs of $y=3-x^2+x^3$ and $y=1+x^2+x^3$ intersect in multiple points. Find the maximum diffe(...TRUNCATED) | "Okay, so I need to find the maximum difference between the y-coordinates of the intersection points(...TRUNCATED) | 2 | [33413,11,779,358,1205,311,1505,279,7340,6811,1990,279,379,23283,8916,315,279,19801,3585,315,279,140(...TRUNCATED) | [-0.03378085419535637,-0.00002074220174108632,-0.0380530059337616,-0.004082203842699528,-0.201438277(...TRUNCATED) |
277 | How many integers are between $(10.2)^3$ and $(10.3)^3$? | "Okay, so I need to figure out how many integers are between (10.2)^3 and (10.3)^3. Hmm, let's start(...TRUNCATED) | 31 | [33413,11,779,358,1205,311,7216,704,1268,1690,26864,527,1990,320,605,13,17,30876,18,323,320,605,13,1(...TRUNCATED) | [-0.020945312455296516,-1.0728830375228426e-6,-0.005443156231194735,-0.042999912053346634,-0.0021866(...TRUNCATED) |
1,051 | "Make a square-bottomed, lidless rectangular water tank out of sheet metal, requiring the volume of (...TRUNCATED) | "Okay, so I need to figure out the height of a square-bottomed, lidless rectangular water tank that (...TRUNCATED) | 1 | [33413,11,779,358,1205,311,7216,704,279,2673,315,264,9518,11635,291,11,27431,1752,52524,3090,13192,4(...TRUNCATED) | [-0.04893883690237999,-0.00008868777513271198,-0.011296715587377548,-0.0002616301644593477,-0.100216(...TRUNCATED) |
3,538 | "Given positive integers $x$ and $y$ such that $x\\neq y$ and $\\frac{1}{x} + \\frac{1}{y} = \\frac{(...TRUNCATED) | "Okay, so I need to find two different positive integers x and y such that 1/x + 1/y equals 1/18, an(...TRUNCATED) | 75 | [33413,11,779,358,1205,311,1505,1403,2204,6928,26864,865,323,379,1778,430,220,16,11009,489,220,16,27(...TRUNCATED) | [-0.048760030418634415,-5.960446742392378e-6,-0.10031086206436157,-0.0002053765201708302,-0.52374392(...TRUNCATED) |
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