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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 }
<|begin_of_thought|> Okay, let's try to figure out which compound C9H11NO2 is from the given data. The options are A to D. Let's start by analyzing the IR and NMR data step by step. First, the IR spectrum. The medium to strong bands around 3420 and 3325 cm-1. These are typically associated with hydroxyl (-OH) groups,...
[ { "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 }
<|begin_of_thought|> Okay, let's see. I need to solve this logarithmic equation: the product of two logarithms equals another logarithm. The equation is: \[ \log_{7x}2023 \cdot \log_{289x}2023 = \log_{2023x}2023 \] Hmm, logarithms with different bases. I remember that logarithms can sometimes be converted using the ...
[ { "content": "In this problem, the final answer will be a non-negative integer. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: Among $\\left[\\mathrm{I}_{3}\\right]^{+},\\left[\\mathrm{SiO}_{4}\\right]^{4-}, \\mathrm{SO}_{2} \\mathrm{Cl}...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
510
JEEBench
{ "expected_answer": "5", "problem_id": "43", "reference_solution": null, "subject": "chem", "type": "Integer" }
<|begin_of_thought|> Okay, let's try to figure out how many of these species have an sp³ hybridized central atom. Hmm, first, I need to remember what sp³ hybridization means. From what I recall, sp³ hybridization involves mixing one s orbital and three p orbitals, resulting in four equivalent hybrid orbitals. This typ...
[ { "content": "Generate an executable Python function generated from the given prompt. The function should take stdin as input and print the output. Simply call the function after the definition.You are given a string S of length N consisting of lowercase English letters.\nWe denote the i-th character of S by S_...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 2, "temperature": 0.7 }
2
217
LiveCodeBench
{ "expected_answer": "", "problem_id": "", "reference_solution": "", "subject": null, "type": null }
<|begin_of_thought|> Okay, I need to solve this problem where I have to take a string S and output a new string that's twice as long. The new string should be formed by taking each character in S, writing it once, then again, right? So like, for each character in the original string, I add it twice. Let's see. The in...
[ { "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 }
<|begin_of_thought|> Okay, let's try to solve this hyperbola problem. The asymptotes are given as y = 2x - 3 and y = 17 - 2x, and the hyperbola passes through the point (4,7). We need to find the distance between the foci. Hmm, hyperbola asymptotes... I remember that the asymptotes of a hyperbola are related to its eq...
[ { "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 }
<|begin_of_thought|> Okay, let's try to figure out for how many integers n the expression √[(log(n²) - (log n)²)/(log n - 3)] is a real number. Hmm, so the square root requires that the argument inside is non-negative. So, first, I need to make sure that the numerator divided by the denominator is greater than or equa...
[ { "content": "In this problem, the final will be a numeric value. Give the numerical answer correct upto the 2nd decimal digit. Give a detailed solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: Let $X$ be the set consisting of the first 2018 terms of the a...
{ "do_sample": false, "max_new_tokens": 32768, "seed": 2, "temperature": 0.7 }
2
144
JEEBench
{ "expected_answer": "3748", "problem_id": "45", "reference_solution": null, "subject": "math", "type": "Numeric" }
<|begin_of_thought|> Okay, so I need to find the number of elements in the union of two sets X and Y. Both X and Y are arithmetic progressions with 2018 terms each. The problem is asking for the size of their union. Hmm, right, the union of two sets is the total number of elements minus the number of elements they hav...
[ { "content": "Return your final response within \\boxed{{}} and only include the letter choice (A, B, C, D, E, F, G, H, I, or J) as your final response.\nProblem: The extremes of temperature in New York, over a period of 50 years, differ by 116 Fahrenheit degrees. Express this 50 years, differ by 116 Fahrenheit...
{ "do_sample": true, "max_new_tokens": 32768, "seed": 0, "temperature": 0.7 }
0
387
MMLUPro
{ "expected_answer": "", "problem_id": "", "reference_solution": "", "subject": null, "type": null }
<|begin_of_thought|> Okay, let's see. The problem says that the temperature extremes in New York over 50 years differ by 116 Fahrenheit degrees. I need to convert that range into Celsius degrees. Hmm, so the difference in temperature between the highest and lowest temperatures over that period is 116°F, and I have to ...
[{"content":"In this problem, the final answer will be a non-negative integer. Give a detailed solut(...TRUNCATED)
{ "do_sample": false, "max_new_tokens": 32768, "seed": 2, "temperature": 0.7 }
2
294
JEEBench
{"expected_answer":"8","problem_id":"37","reference_solution":null,"subject":"math","type":"Integer"(...TRUNCATED)
"<|begin_of_thought|>\n\nOkay, so I need to solve this problem where we have a complex number z sati(...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 }
"<|begin_of_thought|>\n\nOkay, so I need to simplify the expression tan 100° + 4 sin 100°. Let me (...TRUNCATED)
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mlfoundations-dev/OpenThinker-7B_1744669112_eval_1331

Precomputed model outputs for evaluation.

Evaluation Results

Summary

Metric AIME24 AMC23 MATH500 MMLUPro JEEBench GPQADiamond LiveCodeBench CodeElo
Accuracy 30.7 68.5 83.6 32.0 44.0 43.9 38.4 10.0

AIME24

  • Average Accuracy: 30.67% ± 1.23%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 30.00% 9 30
2 36.67% 11 30
3 26.67% 8 30
4 36.67% 11 30
5 30.00% 9 30
6 30.00% 9 30
7 33.33% 10 30
8 30.00% 9 30
9 23.33% 7 30
10 30.00% 9 30

AMC23

  • Average Accuracy: 68.50% ± 1.42%
  • Number of Runs: 10
Run Accuracy Questions Solved Total Questions
1 60.00% 24 40
2 72.50% 29 40
3 70.00% 28 40
4 67.50% 27 40
5 70.00% 28 40
6 70.00% 28 40
7 75.00% 30 40
8 62.50% 25 40
9 72.50% 29 40
10 65.00% 26 40

MATH500

  • Accuracy: 83.60%
    Accuracy Questions Solved Total Questions
    83.60% 418 500

MMLUPro

  • Average Accuracy: 32.00% ± 0.00%
  • Number of Runs: 1
Run Accuracy Questions Solved Total Questions
1 32.00% 160 500

JEEBench

  • Average Accuracy: 44.01% ± 1.62%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 41.65% 214.5 515
2 47.96% 247.0 515
3 42.43% 218.5 515

GPQADiamond

  • Average Accuracy: 43.94% ± 0.86%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 43.43% 86 198
2 42.42% 84 198
3 45.96% 91 198

LiveCodeBench

  • Average Accuracy: 38.36% ± 0.52%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 37.38% 191 511
2 38.55% 197 511
3 39.14% 200 511

CodeElo

  • Average Accuracy: 9.97% ± 0.15%
  • Number of Runs: 3
Run Accuracy Questions Solved Total Questions
1 9.72% 38 391
2 10.23% 40 391
3 9.97% 39 391
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