messages listlengths 1 1 | ground_truth stringlengths 0 179 | dataset stringclasses 1
value | completions listlengths 32 32 | pass_count int64 0 32 | pass_rate stringclasses 33
values | num_samples int64 32 32 | generator_model stringclasses 1
value | generator_chat_template stringclasses 1
value | generator_temperature float64 1 1 | generator_top_p float64 1 1 | generator_max_tokens int64 8.19k 8.19k | source_split stringclasses 1
value |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
[
{
"content": "Automobile license plates for a state consist of four letters followed by a dash and two single digits. How many different license plate combinations are possible if exactly one letter is repeated exactly once, but digits cannot be repeated? [asy]\nsize(150);\ndraw((0,0)--(0,5)--(10,5)--(10,0)--cy... | 8,\!424,\!000 | math_deepscaler | [
"To find the number of different license plate combinations where exactly one letter is repeated exactly once and digits cannot be repeated, we need to consider several components: the arrangement of letters and the selection of the repeated letter, as well as the selection of the digits.\n\nFirst, we select the re... | 9 | 9/32 | 32 | Qwen/Qwen3-4B-Base | qwen_instruct_user_boxed_math | 1 | 1 | 8,192 | train |
[
{
"content": "Among the 2019 natural numbers from 1 to 2019, how many of them, when added to the four-digit number 8866, result in at least one carry?",
"role": "user"
}
] | 1956 | math_deepscaler | [
"To find out how many natural numbers from 1 to 2019, when added to 8866, result in at least one carry, we need to analyze the possible outcomes of adding the digits \\( 8866 \\) with different numbers.\n\n### Step 1: Understanding the Problem\nWhen we add \\( 8866 \\), each digit of the number can be increased in ... | 0 | 0/32 | 32 | Qwen/Qwen3-4B-Base | qwen_instruct_user_boxed_math | 1 | 1 | 8,192 | train |
[{"content":"Given a rectangular pan of brownies measuring 15 inches by 24 inches, cut into triangul(...TRUNCATED) | 60 | math_deepscaler | ["To find out the number of triangular pieces that can be cut from the rectangular pan of brownies, (...TRUNCATED) | 21 | 21/32 | 32 | Qwen/Qwen3-4B-Base | qwen_instruct_user_boxed_math | 1 | 1 | 8,192 | train |
[{"content":"Find a positive integer that is divisible by 18 and whose cube root is a number between(...TRUNCATED) | 522 | math_deepscaler | ["To find a positive integer that is divisible by 18 and whose cube root is a number between 8 and 8(...TRUNCATED) | 16 | 16/32 | 32 | Qwen/Qwen3-4B-Base | qwen_instruct_user_boxed_math | 1 | 1 | 8,192 | train |
[{"content":"Given $a_{1}+a_{2}=1$, $a_{2}+a_{3}=2$, $a_{3}+a_{4}=-3$, $a_{4}+a_{5}=-4$, $a_{5}+a_{6(...TRUNCATED) | -50 | math_deepscaler | ["To find the value of \\(a_1 + a_2 + a_3 + \\ldots + a_{100}\\), we start by summing all the given (...TRUNCATED) | 4 | 4/32 | 32 | Qwen/Qwen3-4B-Base | qwen_instruct_user_boxed_math | 1 | 1 | 8,192 | train |
[{"content":"Let $A$, $B$, $C$, and $D$ be vertices of a regular tetrahedron where each edge is 1 me(...TRUNCATED) | 4921 | math_deepscaler | ["To find the probability that the bug returns to vertex \\( A \\) after exactly 10 meters, we need (...TRUNCATED) | 0 | 0/32 | 32 | Qwen/Qwen3-4B-Base | qwen_instruct_user_boxed_math | 1 | 1 | 8,192 | train |
[{"content":"Find the coordinates of the point halfway between the points $(3,7)$ and $(5,1)$.","rol(...TRUNCATED) | (4,4) | math_deepscaler | ["To find the coordinates of the point halfway between $(3,7)$ and $(5,1)$, we can average the x-coo(...TRUNCATED) | 26 | 26/32 | 32 | Qwen/Qwen3-4B-Base | qwen_instruct_user_boxed_math | 1 | 1 | 8,192 | train |
[{"content":"How many pairs of positive integer solutions \\((x, y)\\) satisfy \\(\\frac{1}{x+1} + \(...TRUNCATED) | 64 | math_deepscaler | ["To find the number of pairs of positive integer solutions \\((x, y)\\) that satisfy the equation \(...TRUNCATED) | 1 | 1/32 | 32 | Qwen/Qwen3-4B-Base | qwen_instruct_user_boxed_math | 1 | 1 | 8,192 | train |
[
{
"content": "Compute $\\sqrt{(41)(40)(39)(38) + 1}$.",
"role": "user"
}
] | 1559 | math_deepscaler | ["We are going to compute (sqrt{(41)(40)(39)(38) + 1}).\n\nStep 1: Define the expression in terms of(...TRUNCATED) | 7 | 7/32 | 32 | Qwen/Qwen3-4B-Base | qwen_instruct_user_boxed_math | 1 | 1 | 8,192 | train |
[{"content":"Let $a$, $b$, $c$, and $d$ be positive integers with $a < 2b$, $b < 3c$, and $c<4d$. If(...TRUNCATED) | 2367 | math_deepscaler | ["To find the largest possible value for \\(a\\), we need to follow the chain of inequalities step b(...TRUNCATED) | 23 | 23/32 | 32 | Qwen/Qwen3-4B-Base | qwen_instruct_user_boxed_math | 1 | 1 | 8,192 | train |
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