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[ { "content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: Identify the compound C9H11NO2 using the given data.\nIR: medium to strong intensity bands at 3420 cm-1, 3325 cm-1\nstrong band at 1720 cm-1\n1H NMR: 1.20 ppm (t, 3H); 4...
{ "do_sample": true, "max_new_tokens": 32768, "seed": 2, "temperature": 0.7 }
2
46
GPQADiamond
{ "expected_answer": "", "problem_id": "", "reference_solution": "", "subject": null, "type": null }
Let's analyze the given data step by step to identify the compound C9H11NO2. First, let's look at the IR spectrum. The presence of medium to strong bands at 3420 cm-1 and 3325 cm-1 suggests the presence of a hydroxyl (-OH) group because these are typical stretching frequencies for hydroxyl. However, wait, the compound...
[ { "content": "Problem: What is the product of all solutions to the equation\n\\[\\log_{7x}2023\\cdot \\log_{289x}2023=\\log_{2023x}2023\\]\nMark your solution with \\boxed\nAnswer:", "role": "user" } ]
{ "do_sample": false, "max_new_tokens": 32768, "seed": 3, "temperature": 0.7 }
3
8
AMC23
{ "expected_answer": "1", "problem_id": "10", "reference_solution": "", "subject": null, "type": null }
<think> Okay, so I need to solve this equation: log₇ₓ 2023 ⋅ log₂₈₉ₓ 2023 = log₂₀₂₃ₓ 2023. Hmm, logarithms with variables as bases... That's a bit tricky. Let me recall some logarithm properties. Oh right, the change of base formula: logₐ b = ln b / ln a. Maybe I can apply that here. First, let me denote each logarith...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed 2D integer array nums. Initially, your score is 0. Perform the following operations until the matrix becomes empty:\n\nFrom each row ...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
10
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "", "subject": null, "type": null }
<think> Okay, I need to solve this problem where I have a 2D array, and I have to compute a score by doing some operations. Let's read the problem carefully again. The steps are: in each operation, first, select the largest number from each row and remove it. Then, among all those selected numbers (one from each row),...
[ { "content": "In this problem, multiple options can be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be one or more multiple-choice letter(s), with \\boxed\nAnswer:\n\nProblem: Addition of excess aqueous ammonia to a pink coloured aqueous solution...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
78
JEEBench
{ "expected_answer": "BCD", "problem_id": "23", "reference_solution": null, "subject": "chem", "type": "MCQ(multiple)" }
<think> Okay, let's try to work through this problem step by step. So, the problem is about coordination complexes and their properties. Let me start by understanding each part of the question. First, we have an aqueous solution of X, which is MCl₂·6H₂O (where M is the metal ion) and NH₄Cl. When we add excess aqueous ...
[ { "content": "Problem: The asymptotes of a hyperbola are $y = 2x - 3$ and $y = 17 - 2x.$ Also, the hyperbola passes through the point $(4,7).$ Find the distance between the foci of the hyperbola.\nMark your solution with \\boxed\nAnswer:", "role": "user" } ]
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
409
MATH500
{ "expected_answer": "", "problem_id": "", "reference_solution": "", "subject": null, "type": null }
To solve the problem, we start by determining the equation of the hyperbola given its asymptotes and a point it passes through. The asymptotes of a hyperbola provide key information about its structure. The given asymptotes are \( y = 2x - 3 \) and \( y = 17 - 2x \). First, we find the center of the hyperbola, which ...
[ { "content": "Problem: For how many integers $n$ does the expression\\[\\sqrt{\\frac{\\log (n^2) - (\\log n)^2}{\\log n - 3}}\\]represent a real number, where log denotes the base $10$ logarithm?\nMark your solution with \\boxed\nAnswer:", "role": "user" } ]
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
37
AMC23
{ "expected_answer": "901", "problem_id": "47", "reference_solution": "", "subject": null, "type": null }
<think> Okay, so I need to figure out for how many integers n the expression sqrt[(log(n²) - (log n)^2)/(log n - 3)] is a real number. Hmm, let's break this down step by step. First, I remember that for a square root to be real, the argument inside must be non-negative. So, the expression inside the square root, whic...
[ { "content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.You are given a 0-indexed string s, a string a, a string b, and an integer k.\nAn index i is beautiful if:\n\n0 <= i <= s.length - a.length\ns[i..(i + a.length...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 1, "temperature": 0.7 }
1
163
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "", "subject": null, "type": null }
<think> Okay, I need to solve this problem where I have to find beautiful indices in a string s based on some conditions. Let's see the problem again. The function is called is_beautiful, and the parameters are s, a, b, k. The steps are: An index i is beautiful if: 1. i is within the range where i + a.length <= s.len...
[{"content":"Generate an executable Python function generated from the given prompt. The function sh(...TRUNCATED)
{ "do_sample": false, "max_new_tokens": 32768, "seed": 2, "temperature": 0.7 }
2
410
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "", "subject": null, "type": null }
"<think>\nOkay, I need to write a Python function that takes input from stdin and prints the output (...TRUNCATED)
[{"content":"Generate an executable Python function generated from the given prompt. The function sh(...TRUNCATED)
{ "do_sample": false, "max_new_tokens": 32768, "seed": 1, "temperature": 0.7 }
1
313
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "", "subject": null, "type": null }
"<think>\nOkay, let's see. I need to write a Python function that takes input N and M, followed by a(...TRUNCATED)
[{"content":"Problem: Simplify $\\tan 100^\\circ + 4 \\sin 100^\\circ.$\nMark your solution with \\b(...TRUNCATED)
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
164
MATH500
{ "expected_answer": "", "problem_id": "", "reference_solution": "", "subject": null, "type": null }
"<think>\nOkay, so I need to simplify this expression: tan(100°) + 4 sin(100°). Hmm, let's see. I (...TRUNCATED)
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mlfoundations-dev/a1_code_glaive_1744691283_eval_1331

Precomputed model outputs for evaluation.

Evaluation Results

Summary

Metric AIME24 AMC23 MATH500 GPQADiamond JEEBench MMLUPro LiveCodeBench CodeElo
Accuracy 16.3 56.2 74.0 40.7 41.3 28.6 33.2 7.2

AIME24

  • Average Accuracy: 16.33% ± 0.88%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 16.67% 5 30
2 16.67% 5 30
3 16.67% 5 30
4 16.67% 5 30
5 20.00% 6 30
6 20.00% 6 30
7 16.67% 5 30
8 13.33% 4 30
9 16.67% 5 30
10 10.00% 3 30

AMC23

  • Average Accuracy: 56.25% ± 1.81%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 57.50% 23 40
2 62.50% 25 40
3 55.00% 22 40
4 70.00% 28 40
5 52.50% 21 40
6 50.00% 20 40
7 55.00% 22 40
8 55.00% 22 40
9 50.00% 20 40
10 55.00% 22 40

MATH500

  • Accuracy: 74.00%
    Accuracy Questions Solved Total Questions
    74.00% 370 500

GPQADiamond

  • Average Accuracy: 40.74% ± 1.22%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 37.88% 75 198
2 41.41% 82 198
3 42.93% 85 198

JEEBench

  • Average Accuracy: 41.28% ± 0.28%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 41.12% 211.75 515
2 40.78% 210.0 515
3 41.94% 216.0 515

MMLUPro

  • Average Accuracy: 28.60% ± 0.00%
  • Number of Runs: 1
Run Accuracy Questions Solved Total Questions
1 28.60% 143 500

LiveCodeBench

  • Average Accuracy: 33.20% ± 0.43%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 32.88% 168 511
2 34.05% 174 511
3 32.68% 167 511

CodeElo

  • Average Accuracy: 7.16% ± 0.82%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 8.44% 33 391
2 5.63% 22 391
3 7.42% 29 391
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