context listlengths 1 1 | gen_kwargs dict | repeat_idx int64 0 4 | request_idx int64 0 499 | task_name stringclasses 3
values | metadata dict | model_outputs stringlengths 695 176k |
|---|---|---|---|---|---|---|
[
{
"content": "You are a math expert. You will be given a math problem. Please solve it step by step and provide your final answer as an integer. Your response MUST contain the final answer inside '\\boxed{}', like '\\boxed{82}', otherwise it will be considered incorrect automatically. \n\n Question: Among the 9... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7,
"top_p": 0.95
} | 0 | 0 | AIME24 | {
"expected_answer": "73",
"problem_id": "aime24-0",
"reference_solution": "Let $w,x,y,z$ denote the number of residents who own 1,2,3 and 4 of these items, respectively. We know $w+x+y+z=900$ , since there are 900 residents in total. This simplifies to $w+z=229$ , since we know $x=437$ and $y=234$ . Now, w... | Alright, so I'm trying to figure out this math problem about the residents of Aimeville and the different things they own. Let me read it again and try to break it down.
There are 900 residents in total. Among them:
- 195 own a diamond ring,
- 367 own a set of golf clubs,
- 562 own a garden spade,
- And everyone owns ... |
[
{
"content": "You are a math expert. You will be given a math problem. Please solve it step by step and provide your final answer as an integer. Your response MUST contain the final answer inside '\\boxed{}', like '\\boxed{82}', otherwise it will be considered incorrect automatically. \n\n Question: A list of p... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7,
"top_p": 0.95
} | 0 | 1 | AIME24 | {
"expected_answer": "236",
"problem_id": "aime24-1",
"reference_solution": "The third condition implies that the list's size must be an even number, as if it were an odd number, the median of the list would surely appear in the list itself. Therefore, we can casework on what even numbers work. Say the size is 2.... | Alright, so I have this math problem to solve, and I need to figure it out step by step. Let me read it again and try to understand each part.
The problem says: There's a list of positive integers with three properties. First, the sum of all the items in the list is 30. Second, the unique mode of the list is 9. Third,... |
[
{
"content": "You are a math expert. You will be given a math problem. Please solve it step by step and provide your final answer as an integer. Your response MUST contain the final answer inside '\\boxed{}', like '\\boxed{82}', otherwise it will be considered incorrect automatically. \n\n Question: Find the nu... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7,
"top_p": 0.95
} | 0 | 2 | AIME24 | {
"expected_answer": "45",
"problem_id": "aime24-2",
"reference_solution": "Consider this table: $\\begin{array}{|c|c|c|} \\hline a & b & c \\\\ \\hline d & e & f\\\\ \\hline \\end{array}$ We note that $c+f = 9$ , because $c+f \\leq 18$ , meaning it never achieves a unit's digit sum of $9$ otherwise. Since no... | Alright, so I have this problem where I need to figure out how many ways there are to place a digit in each cell of a 2x3 grid. The conditions are that the sum of the two numbers formed by reading left to right in each row should be 999, and the sum of the three numbers formed by reading top to bottom in each column sh... |
[
{
"content": "You are a math expert. You will be given a math problem. Please solve it step by step and provide your final answer as an integer. Your response MUST contain the final answer inside '\\boxed{}', like '\\boxed{82}', otherwise it will be considered incorrect automatically. \n\n Question: Let $x,y$ ... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7,
"top_p": 0.95
} | 0 | 3 | AIME24 | {
"expected_answer": "33",
"problem_id": "aime24-3",
"reference_solution": "Denote $\\log_2(x) = a$ , $\\log_2(y) = b$ , and $\\log_2(z) = c$ . Then, we have:\n $a-b-c = \\frac{1}{2}$ \n $-a+b-c = \\frac{1}{3}$ \n $-a-b+c = \\frac{1}{4}$ Now, we can solve to get $a = \\frac{-7}{24}, b = \\frac{-9}{24}, c = \\... | Alright, so I have this problem where I need to find the value of |log₂(x⁴y³z²)| given a system of logarithmic equations. The answer needs to be in the form m/n where m and n are coprime, and then find m + n. Let me try to figure this out step by step.
First, let me write down the given equations:
1. log₂(x / (y z)) ... |
[
{
"content": "You are a math expert. You will be given a math problem. Please solve it step by step and provide your final answer as an integer. Your response MUST contain the final answer inside '\\boxed{}', like '\\boxed{82}', otherwise it will be considered incorrect automatically. \n\n Question: Let ABCDEF ... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7,
"top_p": 0.95
} | 0 | 4 | AIME24 | {
"expected_answer": "80",
"problem_id": "aime24-4",
"reference_solution": "Draw a good diagram!\nLet $AF \\cap BC$ , $BC \\cap DE$ , and $AF \\cap DE$ be K, L, and M, respectively. Let $KL=200, KM=300, ML=240$ . Notice that all smaller triangles formed are all similar to the larger $(200,240,300)$ triangl... | Alright, so I have this problem about a convex equilateral hexagon where all pairs of opposite sides are parallel. The extensions of sides AB, CD, and EF form a triangle with side lengths 200, 240, and 300. I need to find the side length of the hexagon.
First, let me try to visualize the hexagon. It's convex and equil... |
[
{
"content": "You are a math expert. You will be given a math problem. Please solve it step by step and provide your final answer as an integer. Your response MUST contain the final answer inside '\\boxed{}', like '\\boxed{82}', otherwise it will be considered incorrect automatically. \n\n Question: Alice choos... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7,
"top_p": 0.95
} | 0 | 5 | AIME24 | {
"expected_answer": "55",
"problem_id": "aime24-5",
"reference_solution": "Let $k$ be one of the elements in Alices set $A$ of positive integers. The number of sets that Bob lists with the property that their maximum element is k is $2^{k-1}$ , since every positive integer less than k can be in the set or o... | Alright, let's tackle this problem step by step. So, we have Alice choosing a set A of positive integers. Then Bob lists all finite nonempty sets B of positive integers such that the maximum element of B is in A. The total number of such sets B is 2024. We need to find the sum of the elements of A.
First, I want to ma... |
[{"content":"You are a math expert. You will be given a math problem. Please solve it step by step a(...TRUNCATED) | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7,
"top_p": 0.95
} | 0 | 6 | AIME24 | {"expected_answer":"699","problem_id":"aime24-6","reference_solution":"We note that by changing a di(...TRUNCATED) | "Alright, so I have this problem where I need to find the greatest four-digit number N. The conditio(...TRUNCATED) |
[{"content":"You are a math expert. You will be given a math problem. Please solve it step by step a(...TRUNCATED) | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7,
"top_p": 0.95
} | 0 | 7 | AIME24 | {"expected_answer":"127","problem_id":"aime24-7","reference_solution":"First, let's consider a secti(...TRUNCATED) | "Alright, so I have this problem about a torus and a sphere. Let me try to visualize it first. A tor(...TRUNCATED) |
[{"content":"You are a math expert. You will be given a math problem. Please solve it step by step a(...TRUNCATED) | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7,
"top_p": 0.95
} | 0 | 8 | AIME24 | {"expected_answer":"902","problem_id":"aime24-8","reference_solution":"The problem says \"some\", so(...TRUNCATED) | "Alright, so I have this problem here about placing chips on a 5x5 grid. There are 25 white chips an(...TRUNCATED) |
[{"content":"You are a math expert. You will be given a math problem. Please solve it step by step a(...TRUNCATED) | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7,
"top_p": 0.95
} | 0 | 9 | AIME24 | {"expected_answer":"468","problem_id":"aime24-9","reference_solution":"By Euler's formula $OI^{2}=R(...TRUNCATED) | "Alright, so I have this geometry problem here about triangle ABC. It says that the circumradius is (...TRUNCATED) |
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mlfoundations-dev/test_r1_7b_verifier_model_1743317851_eval_0771
Precomputed model outputs for evaluation.
Evaluation Results
Summary
| Metric | AIME24 | AIME25 | MATH500 |
|---|---|---|---|
| Accuracy | 56.7 | 34.0 | 82.4 |
AIME24
- Average Accuracy: 56.67% ± 0.00%
- Number of Runs: 1
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 56.67% | 17 | 30 |
AIME25
- Average Accuracy: 34.00% ± 1.74%
- Number of Runs: 5
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 36.67% | 11 | 30 |
| 2 | 40.00% | 12 | 30 |
| 3 | 33.33% | 10 | 30 |
| 4 | 30.00% | 9 | 30 |
| 5 | 30.00% | 9 | 30 |
MATH500
- Accuracy: 82.40%
Accuracy Questions Solved Total Questions 82.40% 412 500
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