solution stringclasses 21
values | reward float64 0.06 0.06 | length float64 500 8.19k | correct_length float64 427 8.19k | incorrect_length float64 504 8.19k | data_source stringclasses 1
value | prompt listlengths 1 1 | ability stringclasses 1
value | reward_model dict | extra_info dict | __index_level_0__ int64 210 12.8k | e3_solutions listlengths 32 32 | gemini_solution_reward int64 1 1 | gemini_solution listlengths 4 4 | math_verify_difficulty float64 0 0 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
"Suppose that the side length $C H=\\sqrt{2} a$, then the area of the octagon is $((2+\\sqrt{2}) a)^(...TRUNCATED) | 0.0625 | 8,018.5 | 7,153 | 8,076.2 | [{"content":"Regular octagon CHILDREN has area 1. Determine the area of quadrilateral LINE. Let's th(...TRUNCATED) | math | {
"ground_truth": "\\frac{1}{2}",
"style": "rule"
} | {
"index": 11055,
"split": [
"medium"
]
} | 11,055 | ["<think>\nOkay, so I need to find the area of quadrilateral LINE in a regular octagon called CHILDR(...TRUNCATED) | 1 | [{"content":"Regular octagon CHILDREN has area 1. Determine the area of quadrilateral LINE. ","role"(...TRUNCATED) | 0 | |
"Each letter A, B, C, D, E appears exactly once in each column and each row. The entry in the first (...TRUNCATED) | 0.0625 | 7,684.0625 | 6,249 | 7,779.733333 | [{"content":"Which letter will go in the square marked with $*$ in the grid where each of the letter(...TRUNCATED) | math | {
"ground_truth": "B",
"style": "rule"
} | {
"index": 2479,
"split": [
"medium"
]
} | 2,479 | ["<think>\nOkay, so I need to figure out which letter goes in the square marked with a star (*) in t(...TRUNCATED) | 1 | [{"content":"Which letter will go in the square marked with $*$ in the grid where each of the letter(...TRUNCATED) | 0 | |
0.0625 | 7,533.1875 | 6,493 | 7,602.533333 | [{"content":"Calculate the probability that the line $y=kx+k$ intersects with the circle ${{\\left( (...TRUNCATED) | math | {
"ground_truth": "\\dfrac{1}{3}",
"style": "rule"
} | {
"index": 12788,
"split": [
"medium"
]
} | 12,788 | ["<think>\nOkay, so I need to find the probability that the line y = kx + k intersects the circle (x(...TRUNCATED) | 1 | [{"content":"Calculate the probability that the line $y=kx+k$ intersects with the circle ${{\\left( (...TRUNCATED) | 0 | ||
0.0625 | 7,885 | 7,645 | 7,901 | [{"content":"Find the smallest natural number \\( n \\) such that both \\( n^2 \\) and \\( (n+1)^2 \(...TRUNCATED) | math | {
"ground_truth": "27",
"style": "rule"
} | {
"index": 12830,
"split": [
"medium"
]
} | 12,830 | ["<think>\nOkay, so I need to find the smallest natural number n such that both n² and (n+1)² have(...TRUNCATED) | 1 | [{"content":"Find the smallest natural number \\( n \\) such that both \\( n^2 \\) and \\( (n+1)^2 \(...TRUNCATED) | 0 | ||
"Consider a graph $G$ with 11 vertices - one for each of the frogs at the party - where two vertices(...TRUNCATED) | 0.0625 | 7,721.4375 | 7,619 | 7,728.266667 | [{"content":"Kelvin the Frog and 10 of his relatives are at a party. Every pair of frogs is either f(...TRUNCATED) | math | {
"ground_truth": "28",
"style": "rule"
} | {
"index": 7866,
"split": [
"medium"
]
} | 7,866 | ["<think>\nOkay, so I need to figure out the minimum number of fights that can occur when all possib(...TRUNCATED) | 1 | [{"content":"Kelvin the Frog and 10 of his relatives are at a party. Every pair of frogs is either f(...TRUNCATED) | 0 | |
0.0625 | 8,087.5 | 6,520 | 8,192 | [{"content":"Given that Isabella's fort has dimensions $15$ feet in length, $12$ feet in width, and (...TRUNCATED) | math | {
"ground_truth": "430",
"style": "rule"
} | {
"index": 7878,
"split": [
"medium"
]
} | 7,878 | ["<think>\nOkay, so I need to figure out how many one-foot cubical blocks are needed to build Isabel(...TRUNCATED) | 1 | [{"content":"Given that Isabella's fort has dimensions $15$ feet in length, $12$ feet in width, and (...TRUNCATED) | 0 | ||
0.0625 | 7,965 | 4,560 | 8,192 | [{"content":"Sasha records the numbers 1, 2, 3, 4, and 5 in some order, places arithmetic operation (...TRUNCATED) | math | {
"ground_truth": "123",
"style": "rule"
} | {
"index": 7882,
"split": [
"medium"
]
} | 7,882 | ["<think>\nOkay, so Sasha is trying to get the number 123 by arranging the numbers 1, 2, 3, 4, and 5(...TRUNCATED) | 1 | [{"content":"Sasha records the numbers 1, 2, 3, 4, and 5 in some order, places arithmetic operation (...TRUNCATED) | 0 | ||
0.0625 | 7,917.8125 | 5,569 | 8,074.4 | [{"content":"Given a circle \\\\(O: x^2 + y^2 = 2\\\\) and a line \\\\(l: y = kx - 2\\\\).\n\n\\\\(((...TRUNCATED) | math | {
"ground_truth": "\\frac{5}{2}",
"style": "rule"
} | {
"index": 210,
"split": [
"medium"
]
} | 210 | ["<think>\nOkay, let me try to solve this problem. There are two parts, (1) and (2). Let me start wi(...TRUNCATED) | 1 | [{"content":"Given a circle \\\\(O: x^2 + y^2 = 2\\\\) and a line \\\\(l: y = kx - 2\\\\).\n\n\\\\(((...TRUNCATED) | 0 | ||
0.0625 | 7,718.0625 | 8,159 | 7,688.666667 | [{"content":"A polynomial with integer coefficients is of the form\n\\[12x^3 - 4x^2 + a_1x + 18 = 0.(...TRUNCATED) | math | {
"ground_truth": "20",
"style": "rule"
} | {
"index": 7381,
"split": [
"medium"
]
} | 7,381 | ["<think>\nOkay, so I need to figure out the number of different possible rational roots for the pol(...TRUNCATED) | 1 | [{"content":"A polynomial with integer coefficients is of the form\n\\[12x^3 - 4x^2 + a_1x + 18 = 0.(...TRUNCATED) | 0 | ||
"To determine which transformations will map the figure onto itself, we analyze each type of transfo(...TRUNCATED) | 0.0625 | 8,043.1875 | 8,192 | 8,033.266667 | [{"content":"The figure below shows line $\\ell$ with a regular, infinite, recurring pattern of squa(...TRUNCATED) | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": 7409,
"split": [
"medium"
]
} | 7,409 | ["<think>\nOkay, so I need to figure out how many of the given transformations (rotations around a p(...TRUNCATED) | 1 | [{"content":"The figure below shows line $\\ell$ with a regular, infinite, recurring pattern of squa(...TRUNCATED) | 0 |
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