question string | answer string | problem_idx int64 | problem_type list | formatted_prompt list | response list | formatted_prompt__metadata list | response__metadata list | eval_correct list | prompt_name string |
|---|---|---|---|---|---|---|---|---|---|
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$ | 70 | 1 | [
"Number Theory"
] | [
{
"content": "You are a helpful assistant. You are given a question and you need to answer it. The answer should be given at the end of your response in exactly the format '### <final answer>'",
"role": "system"
},
{
"content": "Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor o... | [
"First, let's understand the problem:\n\nWe are given two numbers written in base \\( b \\), where \\( b > 9 \\):\n\n- \\( 17_b \\)\n- \\( 97_b \\)\n\nWe want to find all integer bases \\( b > 9 \\) such that \\( 17_b \\) divides \\( 97_b \\).\n\n---\n\n**Step 1: Convert the numbers from base \\( b \\) to base 10**... | [
{
"endpoint_type": "chat",
"litellm_function": "acompletion",
"model": "gpt-4.1-mini-2025-04-14",
"raw_prompt": [
{
"content": "You are a helpful assistant. You are given a question and you need to answer it. The answer should be given at the end of your response in exactly the format ... | [
{
"cost": 0.0024271999999999996,
"finish_reason": "stop",
"input_tokens": 76,
"model": "gpt-4.1-mini-2025-04-14",
"output_tokens": 1498,
"raw_response": "{\"id\": \"chatcmpl-DDJ5z1YriDhPjFwaQgNeb2xQtNvMS\", \"created\": 1772064039, \"model\": \"gpt-4.1-mini-2025-04-14\", \"object\": \"chat.c... | [
true,
true,
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false,
true
] | seed |
"On $\\triangle ABC$ points $A, D, E$, and $B$ lie in that order on side $\\overline{AB}$ with $AD =(...TRUNCATED) | 588 | 2 | [
"Geometry"
] | [{"content":"You are a helpful assistant. You are given a question and you need to answer it. The an(...TRUNCATED) | ["First, let's analyze the problem step-by-step.\n\n---\n\n**Given:**\n\n- Points \\(A, D, E, B\\) l(...TRUNCATED) | [{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4.1-mini-2025-04-14","raw_pro(...TRUNCATED) | [{"cost":0.0061264,"finish_reason":"stop","input_tokens":656,"model":"gpt-4.1-mini-2025-04-14","outp(...TRUNCATED) | [
false,
false,
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false,
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] | seed |
"The 9 members of a baseball team went to an ice-cream parlor after their game. Each player had a si(...TRUNCATED) | 16 | 3 | [
"Combinatorics"
] | [{"content":"You are a helpful assistant. You are given a question and you need to answer it. The an(...TRUNCATED) | ["We have 9 players, each choosing one flavor from {chocolate (C), vanilla (V), strawberry (S)}.\n\n(...TRUNCATED) | [{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4.1-mini-2025-04-14","raw_pro(...TRUNCATED) | [{"cost":0.0021516,"finish_reason":"stop","input_tokens":159,"model":"gpt-4.1-mini-2025-04-14","outp(...TRUNCATED) | [
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] | seed |
"Find the number of ordered pairs $(x,y)$, where both $x$ and $y$ are integers between $-100$ and $1(...TRUNCATED) | 117 | 4 | [
"Algebra"
] | [{"content":"You are a helpful assistant. You are given a question and you need to answer it. The an(...TRUNCATED) | ["Given the equation:\n\\[\n12x^2 - xy - 6y^2 = 0,\n\\]\nwhere \\(x, y \\in \\{-100, -99, \\ldots, 9(...TRUNCATED) | [{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4.1-mini-2025-04-14","raw_pro(...TRUNCATED) | [{"cost":0.0019744,"finish_reason":"stop","input_tokens":100,"model":"gpt-4.1-mini-2025-04-14","outp(...TRUNCATED) | [
true,
true,
true,
true,
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true,
false,
true,
true,
true
] | seed |
"There are $8!= 40320$ eight-digit positive integers that use each of the digits 1, 2, 3, 4, 5, 6, 7(...TRUNCATED) | 279 | 5 | [
"Combinatorics",
"Number Theory"
] | [{"content":"You are a helpful assistant. You are given a question and you need to answer it. The an(...TRUNCATED) | ["We are considering all 8-digit numbers formed by using each of the digits \\(1, 2, 3, 4, 5, 6, 7, (...TRUNCATED) | [{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4.1-mini-2025-04-14","raw_pro(...TRUNCATED) | [{"cost":0.0066024,"finish_reason":"length","input_tokens":122,"model":"gpt-4.1-mini-2025-04-14","ou(...TRUNCATED) | [
false,
true,
false,
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false,
false,
false,
false,
false
] | seed |
"An isosceles trapezoid has an inscribed circle tangent to each of its four sides. The radius of the(...TRUNCATED) | 504 | 6 | [
"Geometry"
] | [{"content":"You are a helpful assistant. You are given a question and you need to answer it. The an(...TRUNCATED) | ["Given:\n- An isosceles trapezoid with an inscribed circle tangent to all four sides (i.e., a tange(...TRUNCATED) | [{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4.1-mini-2025-04-14","raw_pro(...TRUNCATED) | [{"cost":0.0017319999999999998,"finish_reason":"stop","input_tokens":126,"model":"gpt-4.1-mini-2025-(...TRUNCATED) | [
false,
false,
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true,
true,
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false,
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] | seed |
"The twelve letters $A$,$B$,$C$,$D$,$E$,$F$,$G$,$H$,$I$,$J$,$K$, and $L$ are randomly grouped into s(...TRUNCATED) | 821 | 7 | [
"Combinatorics"
] | [{"content":"You are a helpful assistant. You are given a question and you need to answer it. The an(...TRUNCATED) | ["**Step 1: Understanding the problem**\n\nWe have 12 distinct letters: \\( A, B, C, D, E, F, G, H, (...TRUNCATED) | [{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4.1-mini-2025-04-14","raw_pro(...TRUNCATED) | [{"cost":0.00663,"finish_reason":"length","input_tokens":191,"model":"gpt-4.1-mini-2025-04-14","outp(...TRUNCATED) | [
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] | seed |
"Let $k$ be a real number such that the system\n\\begin{align*} |25+20i-z|&=5\\\\ |z-4-k|&=|z-3i-k| (...TRUNCATED) | 77 | 8 | [
"Algebra"
] | [{"content":"You are a helpful assistant. You are given a question and you need to answer it. The an(...TRUNCATED) | ["Given the system:\n\\[\n\\begin{cases}\n|25 + 20i - z| = 5 \\\\\n|z - (4 + k)| = |z - (3i + k)|\n\(...TRUNCATED) | [{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4.1-mini-2025-04-14","raw_pro(...TRUNCATED) | [{"cost":0.0039984,"finish_reason":"stop","input_tokens":160,"model":"gpt-4.1-mini-2025-04-14","outp(...TRUNCATED) | [
false,
false,
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true,
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false,
false,
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] | seed |
"The parabola with equation $y = x^2 - 4$ is rotated $60^\\circ$ counterclockwise around the origin.(...TRUNCATED) | 62 | 9 | [
"Algebra"
] | [{"content":"You are a helpful assistant. You are given a question and you need to answer it. The an(...TRUNCATED) | ["Given the parabola:\n\\[\ny = x^2 - 4\n\\]\n\nWe rotate this parabola by \\(60^\\circ\\) countercl(...TRUNCATED) | [{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4.1-mini-2025-04-14","raw_pro(...TRUNCATED) | [{"cost":0.0066136,"finish_reason":"length","input_tokens":150,"model":"gpt-4.1-mini-2025-04-14","ou(...TRUNCATED) | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] | seed |
"The $27$ cells of a $3 \\times 9$ grid are filled in using the numbers $1$ through $9$ so that each(...TRUNCATED) | 81 | 10 | [
"Combinatorics"
] | [{"content":"You are a helpful assistant. You are given a question and you need to answer it. The an(...TRUNCATED) | ["Let's analyze the problem carefully.\n\n**Problem Summary:** \nWe have a \\(3 \\times 9\\) grid, (...TRUNCATED) | [{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4.1-mini-2025-04-14","raw_pro(...TRUNCATED) | [{"cost":0.0040456,"finish_reason":"stop","input_tokens":354,"model":"gpt-4.1-mini-2025-04-14","outp(...TRUNCATED) | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
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] | seed |
End of preview. Expand in Data Studio
aime-2025-gepa-seed
AIME GEPA: Seed Baseline — AIME 2025 prompt evaluation results from GEPA prompt optimization.
Evaluated on 150 AIME 2025 problems (MathArena/aime_2025 x5) with 10 samples per problem using openai/gpt-4.1-mini at temperature 0.7.
Results
| Metric | Value |
|---|---|
| pass@1 | 0.1733 |
| pass@2 | 0.2933 |
| pass@3 | 0.3733 |
| pass@4 | 0.4200 |
| pass@5 | 0.4400 |
| pass@6 | 0.4733 |
| pass@7 | 0.4867 |
| pass@8 | 0.5000 |
| pass@9 | 0.5067 |
| pass@10 | 0.5133 |
Details
| Parameter | Value |
|---|---|
| Model | openai/gpt-4.1-mini |
| Temperature | 0.7 |
| Max tokens | 4096 |
| Samples per problem | 10 |
| Test examples | 150 |
Usage
from datasets import load_dataset
ds = load_dataset("reasoning-degeneration-dev/aime-2025-gepa-seed", split="train")
Tracked in reasoning-degeneration-dev/PROJECT-MANIFEST
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