problem stringlengths 21 574 | solution stringlengths 1 21 | win_rate float64 0 1 | completions listlengths 8 8 | rewards listlengths 8 8 | num_completions int64 8 8 |
|---|---|---|---|---|---|
There are 25 students with an average age of 12 years. When the teacher's age is included, the average increases by 1 year. What is the teacher's age? | 38 | 0.875 | [
"<think>\nOkay, let's see. There are 25 students with an average age of 12 years. So first, I need to find the total age of these students. If there are 25 students and the average is 12, then total age should be 25 multiplied by 12. Let me calculate that: 25*12. Hmm, 25*10 is 250, and 25*2 is 50, so total is 300. ... | [
1,
1,
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1,
1,
1,
1,
1
] | 8 |
Find the next number in the sequence: 7, 26, 63, 124, 215, 342, ... | 511 | 0.125 | [
"<think>\nOkay, let's see. I need to find the next number in the sequence: 7, 26, 63, 124, 215, 342, ...\n\nHmm, let me start by looking at the differences between consecutive terms. Let's do that first. \n\nStarting with the first term, 7. The next term is 26. So the difference is 26 - 7 = 19. \n\nThen, 63 - 26 is... | [
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A team P of 20 engineers can complete a job in 32 days. Another team Q of 16 engineers can complete the same job in 30 days. Let a be the ratio of the working capacity (rate) of one member of P to one member of Q, expressed in lowest integer terms as m:n. Return the value formed by concatenating m and n with no separat... | 34 | 0 | [
"<think>\nOkay, so I need to figure out the ratio of the working capacity (rate) of one member of team P to one member of team Q, expressed in lowest integer terms as m:n. Then, I have to return the concatenation of m and n without any separators. Let me think through this step by step.\n\nFirst, let me recall some... | [
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"A necklace uses 9 green beads, 6 white beads, and 3 orange beads. If you have 45 beads of each colo(...TRUNCATED) | 5 | 0.5 | ["<think>\nOkay, let's see. I need to figure out the maximum number of necklaces I can make using 9 (...TRUNCATED) | [
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0,
1,
1,
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1,
1
] | 8 |
"For two consecutive years, incomes are in the ratio 4:7 and expenses are in the ratio 3:5. If the i(...TRUNCATED) | s . 9000 | 0 | ["<think>\nOkay, let's see. I need to find the total savings for two consecutive years. The problem (...TRUNCATED) | [
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] | 8 |
"The average of 45 results is 25 and the average of another 25 results is 45. What is the average of(...TRUNCATED) | 32 | 0 | ["<think>\nOkay, let me try to figure this problem out. So, the question is about finding the averag(...TRUNCATED) | [
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] | 8 |
"Three partners A, B and C invest Rs. 2000, Rs. 3000 and Rs. 4000 in a business. After two years A r(...TRUNCATED) | 76 | 0 | ["<think>\nOkay, let's see. So there are three partners: A, B, and C. They invested Rs. 2000, Rs. 30(...TRUNCATED) | [
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] | 8 |
"In a survey of students: 10 like movies, 20 like picnics, 5 like games; 4 like both movie and picni(...TRUNCATED) | 31 | 0 | ["<think>\nOkay, let me try to figure out how many students there are in total based on the given in(...TRUNCATED) | [
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0,
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0,
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] | 8 |
Find the angle between the minute hand and the hour hand of an analog clock at 9:30. | 105 ° | 0 | ["<think>\nOkay, so I need to find the angle between the minute and hour hands at 9:30 on an analog (...TRUNCATED) | [
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] | 8 |
"Two pipes A and B can separately fill a tank in 12 and 15 minutes respectively. A third pipe C can (...TRUNCATED) | 43 | 0 | ["<think>\nOkay, so I need to figure out the capacity of the tank. Let me start by understanding the(...TRUNCATED) | [
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] | 8 |
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