context listlengths 1 1 | gen_kwargs dict | repeat_idx int64 0 9 | request_idx int64 0 514 | task_name stringclasses 8
values | metadata dict | model_outputs stringlengths 1 162k |
|---|---|---|---|---|---|---|
[
{
"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
} | \boxed{A} |
[
{
"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
} | To solve the equation \(\log_{7x}2023 \cdot \log_{289x}2023 = \log_{2023x}2023\), we start by letting \(y = \log_{2023} x\). This substitution simplifies the equation by expressing all logarithms in terms of base 2023. Recall that \(\log_{a} b = \frac{\log_{c} b}{\log_{c} a}\), so we can rewrite the equation as:
\[
\f... |
[
{
"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
} | def maxElementRowWise(nums):
"""
Calculate the maximum element in each row and sum them up to get the final score.
Args:
nums (List[List[int]]): A 2D integer array.
Returns:
int: The final score after removing the maximum element from each row repeatedly.
"""
score = 0
while nums:
... |
[
{
"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)"
} | To solve this problem, we need to analyze each part step by step. Let's start by understanding the given information and the reactions involved.
### Step 1: Identify the complexes and their properties
- **Complex X**: Aqueous solution of $\mathrm{MCl}_2 \cdot 6\mathrm{H}_2\mathrm{O}$, which is likely a coordination co... |
[
{
"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 understanding the given information: the asymptotes of a hyperbola are \( y = 2x - 3 \) and \( y = 17 - 2x \), and the hyperbola passes through the point \( (4,7) \). We need to find the distance between the foci of the hyperbola.
First, recall that the equations of the asymptotes of ... |
[
{
"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
} | To determine for how many integers \( n \) the expression
\[
\sqrt{\frac{\log (n^2) - (\log n)^2}{\log n - 3}}
\]
represents a real number, we need to analyze the conditions under which the expression inside the square root is non-negative and the denominator is non-zero. Let's break this down step by step.
First, ... |
[
{
"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
} | def find_beautiful_indices(s, a, b, k):
"""
Finds and returns a sorted list of indices in the string `s` that are considered beautiful based on the given criteria.
Parameters:
s (str): The input string.
a (str): The first pattern string.
b (str): The second pattern string.
k (int): The maxi... |
[
{
"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 N integers A_1, A_2, \\dots, A_N.\r\nAlso, define B_i = A_i \\times A_{i+1}\\ (1 \\leq i \\leq N-1).\nPr... | {
"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
} | ```python
def print_b_values():
N = int(input())
A = list(map(int, input().split()))
B = [A[i] * A[i+1] for i in range(N-1)]
print(' '.join(map(str, B)))
print_b_values()
``` |
[
{
"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.Takahashi has placed N gifts on a number line. The i-th gift is placed at coordinate A_i.\nYou will choose a half-open... | {
"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
} | ```python
def max_gifts():
N, M = map(int, input().split())
A = list(map(int, input().split()))
A.sort()
max_count = 0
for i in range(N):
x = A[i]
j = i
while j < N and A[j] < x + M:
j += 1
max_count = max(max_count, j - i)
print(max_count)
max_gif... |
[
{
"content": "Problem: Simplify $\\tan 100^\\circ + 4 \\sin 100^\\circ.$\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"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
} | To simplify \(\tan 100^\circ + 4 \sin 100^\circ\), we start by using trigonometric identities and properties. Let's break it down step by step.
First, recall that the tangent function can be expressed in terms of sine and cosine:
\[
\tan 100^\circ = \frac{\sin 100^\circ}{\cos 100^\circ}
\]
So the expression becomes:
\... |
[
{
"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: A \"strictly binary tree\" is a binary tree in which every node that is not a leaf has two children. Suppose that for a class of strictly binary tree... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 26 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve this problem, we need to understand the properties of a strictly binary tree and the given condition about the ratio of root-to-leaf paths. Let's break down the problem step by step.
First, recall that a strictly binary tree is a binary tree where every non-leaf node has exactly two children. This means that ... |
[
{
"content": "In this problem, only one option will be correct. Give a detailed solution and end the solution with the final answer. Mark your solution, which should be exactly one multiple-choice letter, with \\boxed\nAnswer:\n\nProblem: Match the reactions (in the given stoichiometry of the reactants) in List... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 482 | JEEBench | {
"expected_answer": "D",
"problem_id": "48",
"reference_solution": null,
"subject": "chem",
"type": "MCQ"
} | To solve this problem, we need to determine the products of each reaction in List-I and match them with the correct entries in List-II. Let's go through each reaction step by step.
### Reaction (P): $\mathrm{P}_2\mathrm{O}_3 + 3\mathrm{H}_2\mathrm{O} \rightarrow$
- **Analysis**: $\mathrm{P}_2\mathrm{O}_3$ (diphosphoru... |
[
{
"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: A container weighs 3.22 lb force when empty. Filled with water at 60°F the mass of the container and its contents is 1.95 slugs. Find its volume in c... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 212 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | A |
[
{
"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: A container with $1 \\mathrm{~kg}$ of water in it is kept in s... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 284 | JEEBench | {
"expected_answer": "8.33",
"problem_id": "18",
"reference_solution": null,
"subject": "phy",
"type": "Numeric"
} | To solve this problem, we need to determine the temperature difference between the water and the surroundings after a long time, given the parameters. Let's break down the problem step by step.
### Step 1: Understand the Energy Balance
The water is receiving solar energy and losing heat to the surroundings. In equilib... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 25 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To solve the "Cutting Game" problem, I need to simulate the game's moves and track the points scored by Alice and Bob. Here's a structured approach to the solution:
### **Thought Process**
1. **Understanding the Grid and Moves**:
- The grid is of size \(a \times b\) with \(n\) chips placed in distinct cells.
- P... |
[
{
"content": "Problem: Carlos went to a sports store to buy running shoes. Running shoes were on sale, with prices reduced by $20\\%$ on every pair of shoes. Carlos also knew that he had to pay a $7.5\\%$ sales tax on the discounted price. He had $$43$ dollars. What is the original (before discount) price of th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 5,
"temperature": 0.7
} | 5 | 30 | AMC23 | {
"expected_answer": "50",
"problem_id": "36",
"reference_solution": "",
"subject": null,
"type": null
} | To determine the original price of the most expensive shoes Carlos could afford, we need to account for the discount and sales tax. Let's break down the problem step by step.
1. **Define Variables:**
- Let \( x \) be the original price of the shoes before the discount.
- The discount is \( 20\% \), so the discou... |
[
{
"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 string s consisting of only lowercase English letters. In one operation, you can do the following:\n\nSelect any non-empty substring of s, poss... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 35 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | def smallestString(s: str) -> str:
n = len(s)
if n == 0:
return ""
# Find the first occurrence of a character that is not 'a'
i = 0
while i < n and s[i] == 'a':
i += 1
if i == n:
# If all characters are 'a', replace the last character with 'z'
return s[:-1] + 'z' ... |
[
{
"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: Some standard electrode potentials at $298 \\mathrm{~K}$ are given bel... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 350 | JEEBench | {
"expected_answer": "ABC",
"problem_id": "22",
"reference_solution": null,
"subject": "chem",
"type": "MCQ(multiple)"
} | To determine the correct combination of metals \( \mathbf{X} \) and \( \mathbf{Y} \) that results in the dissolution of \( \mathbf{X} \), we need to analyze the given standard electrode potentials and apply electrochemical principles.
First, recall that the standard electrode potential (\( E^\circ \)) indicates the te... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: Consider a system with Hamiltonian operator $H = \\varepsilon \\vec{\\sigma}.\\vec{n}$. Here, $\\vec{n}$ is an arbitrary unit vector, $\\varepsilon $ is a constant of di... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 184 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | \boxed{D} |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: \"Oh, I know you,\" the ribonucleoprotein particle says to the nascent chain as they meet. \"Pause there for a minute. Let me show you in; you really need some sugar.\"\... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 26 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | D) cytosol to the extracellular space
The dialogue between the ribonucleoprotein particle (likely a ribosome or a spliceosome component) and the nascent chain (a newly synthesized polypeptide) suggests a cellular process where the chain is being processed after synthesis. The mention of "sugar" implies glycosylation, ... |
[
{
"content": "\"You are a coding expert. Given a competition-level coding problem, you need to write a Python program to solve it. You may start by outlining your thought process. In the end, please provide the complete code in a code block enclosed with ``` ```. The code should take stdin as input and print th... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 147 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | To tackle this problem, I need to understand how K1o0n's solution works and why it might give correct or incorrect answers. Let's break it down.
### K1o0n's Solution Overview:
- The input is a string `n` (representing the number of friends), an integer `a` (apples given), and an integer `b` (apples returned).
- The so... |
End of preview. Expand in Data Studio
YAML Metadata Warning:empty or missing yaml metadata in repo card
Check out the documentation for more information.
mlfoundations-dev/a1_science_pubmed_science_1744691443_eval_1331
Precomputed model outputs for evaluation.
Evaluation Results
Summary
| Metric | AIME24 | AMC23 | MATH500 | GPQADiamond | JEEBench | MMLUPro | LiveCodeBench | CodeElo |
|---|---|---|---|---|---|---|---|---|
| Accuracy | 8.3 | 44.5 | 68.0 | 18.9 | 31.3 | 24.6 | 10.7 | 4.4 |
AIME24
- Average Accuracy: 8.33% ± 1.27%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 6.67% | 2 | 30 |
| 2 | 3.33% | 1 | 30 |
| 3 | 6.67% | 2 | 30 |
| 4 | 10.00% | 3 | 30 |
| 5 | 6.67% | 2 | 30 |
| 6 | 13.33% | 4 | 30 |
| 7 | 3.33% | 1 | 30 |
| 8 | 6.67% | 2 | 30 |
| 9 | 16.67% | 5 | 30 |
| 10 | 10.00% | 3 | 30 |
AMC23
- Average Accuracy: 44.50% ± 1.96%
- Number of Runs: 10
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 52.50% | 21 | 40 |
| 2 | 55.00% | 22 | 40 |
| 3 | 40.00% | 16 | 40 |
| 4 | 52.50% | 21 | 40 |
| 5 | 37.50% | 15 | 40 |
| 6 | 42.50% | 17 | 40 |
| 7 | 45.00% | 18 | 40 |
| 8 | 42.50% | 17 | 40 |
| 9 | 40.00% | 16 | 40 |
| 10 | 37.50% | 15 | 40 |
MATH500
- Accuracy: 68.00%
Accuracy Questions Solved Total Questions 68.00% 340 500
GPQADiamond
- Average Accuracy: 18.86% ± 1.69%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 15.66% | 31 | 198 |
| 2 | 18.18% | 36 | 198 |
| 3 | 22.73% | 45 | 198 |
JEEBench
- Average Accuracy: 31.29% ± 0.54%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 30.34% | 156.25 | 515 |
| 2 | 30.97% | 159.5 | 515 |
| 3 | 32.57% | 167.75 | 515 |
MMLUPro
- Average Accuracy: 24.60% ± 0.00%
- Number of Runs: 1
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 24.60% | 123 | 500 |
LiveCodeBench
- Average Accuracy: 10.70% ± 0.94%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 10.18% | 52 | 511 |
| 2 | 9.39% | 48 | 511 |
| 3 | 12.52% | 64 | 511 |
CodeElo
- Average Accuracy: 4.43% ± 0.45%
- Number of Runs: 3
| Run | Accuracy | Questions Solved | Total Questions |
|---|---|---|---|
| 1 | 3.58% | 14 | 391 |
| 2 | 5.12% | 20 | 391 |
| 3 | 4.60% | 18 | 391 |
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