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 294k |
|---|---|---|---|---|---|---|
[
{
"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 break down the problem step by step. The task is to identify the compound C9H11NO2 based on the given IR and 1H NMR data. Let’s start by analyzing each spectral data and match it to the possible structures.
First, looking at the IR spectrum:
- There's a medium to strong band at 3420 cm⁻¹ and 3325 cm⁻¹. These are... |
[
{
"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 \(y = \log_x 2023\). This substitution simplifies the logarithms using the change of base formula.
First, express each logarithm in terms of \(y\):
- \(\log_{7x}2023 = \frac{\log_x 2023}{\log_x (7x)} = \frac{y}{1 + \... |
[
{
"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 maxElementInRow(arr):
# This function finds the maximum element in each row and returns the row indices
max_indices = []
for row in arr:
max_indices.append(max(row))
return max_indices
def scoreAfterOperations(nums):
# Initialize total score to 0
total = 0
# Continue until ... |
[
{
"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)"
} | \boxed{\text{A, C}}
**Solution:**
Let's break down the problem step by step to determine the correct statements.
**Given:**
1. Aqueous solution of $\mathrm{MCl}_2 \cdot 6\mathrm{H}_2\mathrm{O}$ (X) turns pink when excess ammonia is added. The resulting complex Y is octahedral and behaves as a 1:3 electrolyte.
2. Rea... |
[
{
"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 find the distance between the foci of the hyperbola, we start by determining its equation. The asymptotes are given as \( y = 2x - 3 \) and \( y = 17 - 2x \). First, find the center of the hyperbola, which is the intersection point of the asymptotes. Setting the equations equal to each other:
\[
2x - 3 = 17 - 2x \i... |
[
{
"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 ensure two things: the argument of the square root is non-negative, and the denominator inside the square root 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
} | ```python
def find_beautiful_indices(s, a, b, k):
def kmp_pattern_match(text, pattern):
"""KMP algorithm to find all occurrences of pattern in text."""
n, m = len(text), len(pattern)
if m == 0: return []
failure = [-1] * m
for i in range(1, m):
j = failure[i-1]
... |
[
{
"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_products():
import sys
input = sys.stdin.read
data = input().split()
n = int(data[0])
numbers = list(map(int, data[1].split()))
for i in range(n-1):
product = numbers[i] * numbers[i+1]
print(product, end=' ' if i < n-2 else '\n')
print_b_products(... |
[
{
"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():
from sys import stdin, stdout
input = stdin.read
output = stdout.write
N, M = map(int, input().split())
A = list(map(int, input().split()))
# Sort the positions and remove duplicates
sorted_A = sorted(set(A))
# Find all boundaries where the inter... |
[
{
"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 expressing \(\tan 100^\circ\) in terms of sine and cosine:
\[
\tan 100^\circ = \frac{\sin 100^\circ}{\cos 100^\circ}.
\]
Substituting this into the original expression gives:
\[
\frac{\sin 100^\circ}{\cos 100^\circ} + 4 \sin 100^\circ.
\]
Factor out \(\... |
[
{
"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
} | Answer: E |
[
{
"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"
} | \boxed{B}
**Solution:**
Let's tackle each reaction in List-I step by step and match it to the correct product in List-II.
**Reaction P:** $\mathrm{P}_{2} \mathrm{O}_{3} + 3 \mathrm{H}_{2} \mathrm{O} \rightarrow$
$\mathrm{P}_{2} \mathrm{O}_{3}$ is phosphorus trioxide. When it reacts with water, it likely forms phos... |
[
{
"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
} | Let's work through this problem step by step. The goal is to find the volume of the container in cubic feet. The container's empty weight is 3.22 lb, and when filled with water at 60°F (which has a density of 62.4 lb/ft³), the total mass is 1.95 slugs.
First, I need to remember the relationship between mass, weight, ... |
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