context list | gen_kwargs dict | repeat_idx int64 | request_idx int64 | task_name string | metadata dict | model_outputs string |
|---|---|---|---|---|---|---|
[
{
"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 solution and end the solution with the final answer. Mark your solution with \\boxed\nAnswer:\n\nProblem: For a complex number $z$, let $\\operatorname{Re}(z)$ denote the real part of $z$. Let $S$ be the set of all c... | {
"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"
} | <|begin_of_thought|>
Okay, so I need to solve this problem where we have a complex number z satisfying the equation z⁴ - |z|⁴ = 4i z². Then, we need to find the minimum possible value of |z₁ - z₂|² where z₁ and z₂ are elements of the set S (the solutions to the equation) with Re(z₁) > 0 and Re(z₂) < 0. The answer shou... |
[
{
"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
} | <|begin_of_thought|>
Okay, so I need to simplify the expression tan 100° + 4 sin 100°. Let me start by recalling some trigonometric identities and see if I can manipulate this expression into a simpler form.
First, tan θ is equal to sin θ over cos θ. So, tan 100° is sin 100° divided by cos 100°. That gives me (sin 1... |
[
{
"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: Let $S=\\left\\{x \\in(-\\pi, \\pi): x \\neq 0, \\pm \\frac{\\pi}{2}\\rig... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 26 | JEEBench | {
"expected_answer": "C",
"problem_id": "39",
"reference_solution": null,
"subject": "math",
"type": "MCQ"
} | <|begin_of_thought|>
Okay, let's try to solve this equation step by step. The problem is to find the sum of all distinct solutions of the equation √3 sec x + cosec x + 2(tan x - cot x) = 0 in the set S, which is (-π, π) excluding 0, ±π/2. The options are given, so eventually we need to pick the correct one.
First, le... |
[
{
"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": 2,
"temperature": 0.7
} | 2 | 358 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to figure out this problem. So, the problem is about Alice and Bob playing a game with a list of booleans. They take turns inserting operators (either AND or OR) between the booleans, with Alice going first. The goal is to determine if Alice can force the final expression to evalua... |
[
{
"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 $A P(a ; d)$ denote the set of all the terms of an infinit... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 212 | JEEBench | {
"expected_answer": "157",
"problem_id": "50",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | <|begin_of_thought|>
Okay, let's try to solve this problem step by step. The problem says that the intersection of three arithmetic progressions is another arithmetic progression, and we need to find the value of a + d where the intersection is AP(a; d).
First, let me recall what an arithmetic progression (AP) is. A... |
[
{
"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": 1,
"temperature": 0.7
} | 1 | 36 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's tackle this problem step by step. So the task is to verify if a password meets certain conditions. Let's read the problem carefully.
The conditions are:
1. The password consists only of lowercase Latin letters and digits. (This is already handled by Monocarp, so we don't need to check... |
[
{
"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 and a dictionary of words dictionary. You have to break s into one or more non-overlapping substrings such that each substri... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 13 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. I need to find the minimum number of extra characters left in the string s after breaking it into substrings that are present in the dictionary. Hmm. So, the problem is similar to partitioning the string into parts that are in the dictionary, and we want to minimize the leftover c... |
[
{
"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
} | <|begin_of_thought|>
Okay, let's try to figure out this problem step by step. So Carlos wants to buy running shoes that are on sale with a 20% discount. He also has to pay 7.5% sales tax on the discounted price. He has $43. We need to find the original price of the most expensive shoes he can afford. Hmm, let's break ... |
[
{
"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: According to the Arrhenius equation,\n(A) a high activation energy usu... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 16 | JEEBench | {
"expected_answer": "BCD",
"problem_id": "24",
"reference_solution": null,
"subject": "chem",
"type": "MCQ(multiple)"
} | <|begin_of_thought|>
Okay, let's tackle this question about the Arrhenius equation. Hmm, I need to check each option and see which ones are correct. Let me start by recalling what the Arrhenius equation is. From what I remember, the Arrhenius equation relates the rate constant (k) of a chemical reaction to the tempera... |
[
{
"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 two arrays of equal length, nums1 and nums2.\nEach element in nums1 has been increased (or decreased in the case of negative) by an integer, repr... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 489 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's tackle this problem. So, the task is to find the integer x such that when we add x to each element of nums1, it becomes equal to nums2. Both arrays are of the same length, and each element in nums1 is adjusted by x to match nums2 exactly in terms of elements and their frequencies.
Hm... |
[
{
"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
} | <|begin_of_thought|>
Okay, let's tackle this problem step by step. The question is about finding the eigenvalues of the Hamiltonian operator H = ε·σ·n, where ε is a constant with energy dimensions, and σ are the Pauli spin matrices. The vector n is arbitrary but a unit vector. The options given are A) +1, -1; B) +ħ/2,... |
[
{
"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
} | <|begin_of_thought|>
Okay, let's try to figure out this biology question. So, the problem is about a ribonucleoprotein particle talking to a nascent chain. The options are about their meeting place and where the chain is heading. Hmm. Let me break it down.
First, the ribonucleoprotein particle. I remember that ribonu... |
[
{
"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 two 0-indexed integer arrays nums1 and nums2 of sizes n and m, respectively.\nConsider calculating the following values:\n\nThe number of indices... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 135 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. I need to solve this problem where I have two arrays, nums1 and nums2. The task is to compute two values based on the elements in these arrays. Let me read the problem statement again carefully.
So, the first value is the count of indices i in nums1 where the element at i appears... |
[
{
"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.There are N people labeled 1 to N, who have played several one-on-one games without draws. Initially, each person star... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 422 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. I need to find the final score of person N given the scores of the first N-1 people. The problem says that the final score of person N is uniquely determined, so there's a formula for it. My task is to derive that formula and then implement it in Python.
Hmm. Let's think about ho... |
[
{
"content": "Problem: Let $x,y$ and $z$ be positive real numbers that satisfy the following system of equations:\n \\[\\log_2\\left({x \\over yz}\\right) = {1 \\over 2}\\] \\[\\log_2\\left({y \\over xz}\\right) = {1 \\over 3}\\] \\[\\log_2\\left({z \\over xy}\\right) = {1 \\over 4}\\] \nThen the value of... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 3 | AIME24 | {
"expected_answer": "33",
"problem_id": "aime24-3",
"reference_solution": "Denote $\\log_2(x) = a$ , $\\log_2(y) = b$ , and $\\log_2(z) = c$ . Then, we have:\n $a-b-c = \\frac{1}{2}$ \n $-a+b-c = \\frac{1}{3}$ \n $-a-b+c = \\frac{1}{4}$ Now, we can solve to get $a = \\frac{-7}{24}, b = \\frac{-9}{24}, c = \\... | <|begin_of_thought|>
Okay, so I have this problem where I need to find the value of |log₂(x⁴y³z²)|, given three logarithmic equations involving x, y, and z. The answer should be in the form m/n where m and n are coprime, and then find m + n. Let me start by understanding the problem step by step.
First, the given equ... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: A light beam is propagating through a glass with index of refraction n. The glass is moving at constant velocity v in the same direction as the beam and toward the obser... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 40 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to figure out this problem step by step. So, we have a light beam going through glass that's moving towards an observer. The glass has an index of refraction n, and it's moving at a constant velocity v in the same direction as the light beam. We need to find the speed of light in t... |
[
{
"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 weighted undirected graph G with N vertices, numbered 1 to N. Initially, G has no edges.\nYou will per... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 437 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's tackle this problem. Hmm, the task is to determine if after performing all M operations on the graph, the graph is connected. If it is, compute the total weight of the minimum spanning tree (MST). Otherwise, output -1.
First, let's understand the problem. Each operation adds edges bet... |
[
{
"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: Consider one mole of helium gas enclosed in a container at ini... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 247 | JEEBench | {
"expected_answer": "1.77",
"problem_id": "16",
"reference_solution": null,
"subject": "phy",
"type": "Numeric"
} | <|begin_of_thought|>
Okay, let's try to solve this problem step by step. So, we have one mole of helium gas expanding first isothermally and then adiabatically. We need to find the ratio of the work done during the isothermal expansion (W_iso) to the work done during the adiabatic expansion (W_adiad), which is given 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 farmer $F_{1}$ has a land in the shape of a triangle with ve... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 149 | JEEBench | {
"expected_answer": "4",
"problem_id": "50",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | <|begin_of_thought|>
Okay, let's try to solve this problem step by step. So, we have a triangle with vertices at P(0,0), Q(1,1), and R(2,0). Farmer F1 owns this land, and Farmer F2 takes away a region between side PQ and a curve y = x^n, where n > 1. The area taken away by F2 is 30% of the total area of triangle PQR. ... |
[
{
"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.Given eight integers S_1,S_2,\\dots, and S_8,\r\nprint Yes if they satisfy all of the following three conditions, and ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 227 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. I need to write a Python function that checks three conditions for eight integers given as input. The function should read the input, check all three conditions, and output "Yes" or "No" accordingly. Hmm.
First, let's break down the problem. The three conditions are:
1. The sequ... |
[
{
"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 only of uppercase English letters.\nYou can apply some operations to this string where, in one operation, you can remove an... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 23 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. I need to find the minimum possible length of a string after removing all possible occurrences of "AB" or "CD". And each time I remove a substring, the remaining parts are concatenated, which might create new "AB" or "CD" substrings that I can then remove. The goal is to do this o... |
[
{
"content": "Problem: The area of $\\triangle ABC$ is 6 square centimeters. $\\overline{AB}\\|\\overline{DE}$. $BD=4BC$. What is the number of square centimeters in the area of $\\triangle CDE$? [asy]\ndraw((-.3,-3)--(.1,1)--(-1,0)--(3,0)--cycle);\nlabel(\"$A$\",(.1,1),N);\nlabel(\"$B$\",(-1,0),W);\nlabel(\"$C... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 222 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to solve this geometry problem. So, we have triangle ABC with an area of 6 square centimeters. The line DE is parallel to AB, and BD is 4 times BC. We need to find the area of triangle CDE. Hmm, let me visualize the Asymptote figure they provided. It shows a quadrilateral with poin... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: We have a large ensemble of 10.000 (ten thousand) identical systems. Each system has a particle that are the same and under the same conditions. Each particle can move a... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 38 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to figure out the value of 'a' here. So, the problem is about a system of particles with a wave function given as (a / sqrt(1 + x)) - 0.5i. But wait, the wave function should be a probability amplitude, right? So it should be a complex number, but when we square its magnitude, that... |
[
{
"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 $l_{1}, l_{2}, \\ldots, l_{100}$ be consecutive terms of a... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 381 | JEEBench | {
"expected_answer": "18900",
"problem_id": "6",
"reference_solution": null,
"subject": "math",
"type": "Numeric"
} | <|begin_of_thought|>
Okay, let's try to tackle this problem step by step. So, we have two arithmetic progressions here. The first one is for the lengths l₁, l₂, ..., l₁₀₀ with a common difference d₁. The second one is for the widths w₁, w₂, ..., w₁₀₀ with a common difference d₂, and we know that the product of their c... |
[
{
"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.There are N sticks with several balls stuck onto them. Each ball has a lowercase English letter written on it.\nFor ea... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 240 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. The problem is to count the number of distinct sticks among N given strings. But the twist is that two sticks are considered the same if one is the reverse of the other. So, for each string, we need to determine if there's another string that's its reverse, and then group them acc... |
[
{
"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": 2,
"temperature": 0.7
} | 2 | 376 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's tackle this problem. Hmm, the task is to calculate the sum of Manhattan distances for each person moving when a person leaves a position. Let me try to understand the problem step by step.
So, the initial numbering is row-major order. That means the first row is numbered 1 to m, then ... |
[
{
"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 | 65 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to understand this problem. So, the problem is about Turtle choosing a number x between l and r (inclusive), and then Piggy is going to divide x by its prime factors step by step, each time dividing by a prime divisor and increasing the score by 1. Both want to maximize the score. ... |
[
{
"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.There are N cities in a certain country.\nYou will travel from your office in city 1 to a destination in city N, via z... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 309 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. I need to find the minimum time to travel from city 1 to city N using either company car or train, switching only in cities. Hmm. The problem says that switching can be done in any city, but only from company car to train. So once you switch to train, you can't switch back. So the... |
[
{
"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: The correct statement(s) related to colloids is(are)\n(A) The process ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 321 | JEEBench | {
"expected_answer": "BC",
"problem_id": "31",
"reference_solution": null,
"subject": "chem",
"type": "MCQ(multiple)"
} | <|begin_of_thought|>
Okay, let's tackle this multiple-choice question about colloids. The problem gives four statements labeled (A) through (D), and I need to figure out which ones are correct. Let me go through each option one by one, making sure I understand the concepts involved.
Starting with option (A): "The pro... |
[
{
"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 | 378 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to figure out this problem. So the task is to construct a permutation of numbers 1 to n such that after performing n operations, the value of k is maximized. The operations alternate between AND and OR, starting with AND for the first operation. Let's break down what's happening he... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: Find KE of product particles in,\nPi(+) = mu(+) + nu\nhere Pi(+) is stationary.\nRest mass of Pi(+) & mu(+) is 139.6 MeV & 105.7 MeV respectively.\nOptions: A) 7.2 MeV,... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 11 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's tackle this problem step by step. The question is about finding the kinetic energy of the product particles in the reaction where a stationary Pi+ meson (rest mass 139.6 MeV) decays into a mu+ (rest mass 105.7 MeV) and a neutrino (nu). The options are given, and I need to figure out wh... |
[
{
"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: The compound(s) which generate(s) $\\mathrm{N}_{2}$ gas upon thermal d... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 128 | JEEBench | {
"expected_answer": "BC",
"problem_id": "19",
"reference_solution": null,
"subject": "chem",
"type": "MCQ(multiple)"
} | <|begin_of_thought|>
Okay, so I need to figure out which of these compounds will produce nitrogen gas (N₂) when heated below 300°C. Let me start by recalling what happens when each of these compounds decomposes.
First, option A is ammonium nitrate, NH₄NO₃. I remember that ammonium nitrate decomposes when heated, but... |
[
{
"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: The solubility of a salt of weak acid (AB) at $\\mathrm{pH} 3$... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 136 | JEEBench | {
"expected_answer": "4.47",
"problem_id": "31",
"reference_solution": null,
"subject": "chem",
"type": "Numeric"
} | <|begin_of_thought|>
Okay, let's try to solve this problem step by step. The question is about finding the solubility of a salt AB in water at pH 3. The solubility product (Ksp) is given as 2×10^-10, and the acid dissociation constant (Ka) of HB is 1×10^-8. We need to find Y, which is the coefficient when the solubili... |
[
{
"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 two 0-indexed integer arrays, nums1 and nums2, both having length n.\nYou are allowed to perform a series of operations (possibly none).\nIn an o... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 126 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's tackle this problem. So, we need to find the minimum number of swaps between elements of nums1 and nums2 such that the last elements of both arrays are their respective maximums. Hmm. Let's think through the examples first to understand the problem better.
In Example 1, swapping the l... |
[
{
"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: Sometimes it is convenient to construct a system of units so that all ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 245 | JEEBench | {
"expected_answer": "AB",
"problem_id": "9",
"reference_solution": null,
"subject": "phy",
"type": "MCQ(multiple)"
} | <|begin_of_thought|>
Okay, let's try to tackle this problem step by step. The question is about constructing a system of units where all quantities are expressed in terms of a single physical quantity X. The given dimensions are for position, speed, acceleration, linear momentum, and force, each expressed in terms of ... |
[
{
"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": 1,
"temperature": 0.7
} | 1 | 286 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's tackle this problem. Hmm, the goal is to find the maximum possible size of a deck after buying some cards and partitioning them optimally. Let's read the problem statement carefully.
So, each deck must have the same size, and within a deck, all cards have distinct values. Also, we can... |
[
{
"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: Among the following, the correct statement(s) about polymers is(are)\n... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 446 | JEEBench | {
"expected_answer": "BC",
"problem_id": "50",
"reference_solution": null,
"subject": "chem",
"type": "MCQ(multiple)"
} | <|begin_of_thought|>
Okay, let's tackle this polymer question step by step. First, I need to go through each option one by one and check their correctness. I remember that polymers are large molecules made by linking many small molecules (monomers) together. The process is called polymerization. Let me start with opti... |
[
{
"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 a playlist with N songs.\nSong i (1 \\leq i \\leq N) lasts T_i seconds.\nTakahashi has started random pl... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 298 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to figure out how to solve this problem. So the problem is about calculating the probability that song 1 is being played at a specific time X + 0.5 seconds after the playlist starts. The answer needs to be given modulo 998244353.
First, I need to understand the problem deeply. Le... |
[
{
"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: Let $a_{1}, a_{2}, a_{3}, \\ldots$ be an arithmetic progression with $... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 385 | JEEBench | {
"expected_answer": "BC",
"problem_id": "10",
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | <|begin_of_thought|>
Okay, let's tackle this problem step by step. So, we have an arithmetic progression for the sequence \( a_1, a_2, a_3, \ldots \) with the first term \( a_1 = 7 \) and common difference 8. Then there's another sequence \( T_1, T_2, T_3, \ldots \) where \( T_1 = 3 \) and each subsequent term is defi... |
[
{
"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 an array nums of length n and a positive integer k.\nA subarray of nums is called good if the absolute difference between its first and last elem... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 171 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. I need to find the maximum sum of a good subarray where the absolute difference between the first and last element is exactly k. Hmm. So the problem is to look for all possible subarrays where the first and last elements differ by k, then find the one with the highest sum. If ther... |
[
{
"content": "Problem: For how many ordered pairs $(a,b)$ of integers does the polynomial $x^3+ax^2+bx+6$ have $3$ distinct integer roots?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 4,
"temperature": 0.7
} | 4 | 27 | AMC23 | {
"expected_answer": "5",
"problem_id": "30",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, so I need to find the number of ordered pairs (a, b) of integers such that the polynomial x³ + a x² + b x + 6 has three distinct integer roots. Hmm, let's start by recalling that if a polynomial has integer roots, then those roots must be divisors of the constant term, right? In this case, t... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.Given a string word, compress it using the following algorithm:\n\nBegin with an empty string comp. While word is not empty, use the following operation:\n\n\t... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 505 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. I need to write a Python function that compresses a given string according to a specific algorithm. The algorithm says that I should repeatedly take the longest possible prefix that's a single character repeated up to 9 times. Then append the count followed by the character to the... |
[
{
"content": "Problem: Rows 1, 2, 3, 4, and 5 of a triangular array of integers are shown below.\n1\n1 1\n1 3 1\n1 5 5 1\n1 7 11 7 1\nEach row after the first row is formed by placing a 1 at each end of the row, and each interior entry is 1 greater than the sum of the two numbers diagonally above it in the prev... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 10 | AMC23 | {
"expected_answer": "5",
"problem_id": "12",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to figure out the problem. So, we have a triangular array of integers, starting with row 1 as 1, then row 2 as 1 1, row 3 as 1 3 1, and so on. Each interior entry in a row is 1 greater than the sum of the two numbers diagonally above it in the previous row. We need to find the unit... |
[
{
"content": "Problem: A line is parameterized by\n\\[\\begin{pmatrix} x \\\\ y \\end{pmatrix} = \\begin{pmatrix} 8 \\\\ -1 \\end{pmatrix} + t \\begin{pmatrix} 2 \\\\ 3 \\end{pmatrix}.\\]The equation of the line can be expressed in the form $y = mx + b.$ Enter the ordered pair $(m,b).$\nMark your solution with... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 206 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, so I need to find the equation of the line given in parametric form and express it in the slope-intercept form y = mx + b. The parametric equations are:
\[
\begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} 8 \\ -1 \end{pmatrix} + t \begin{pmatrix} 2 \\ 3 \end{pmatrix}
\]
Hmm, parametr... |
[
{
"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 positive integer N.\nFind the maximum value of a palindromic cube number not greater than N.\nHere, a ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 397 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. The problem is to find the maximum palindromic cube number that's less than or equal to a given N. Hmm. So first, I need to generate all cube numbers up to N and check if they are palindromic. Then pick the largest one.
But how do I efficiently generate these cubes and check for ... |
[
{
"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: Let $P_{1}$ and $P_{2}$ be two planes given by\n\\[\n\\begin{aligned}\... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 386 | JEEBench | {
"expected_answer": "ABD",
"problem_id": "11",
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | <|begin_of_thought|>
Okay, so I need to figure out which of the given lines (A to D) can be an edge of a tetrahedron where two of its faces are the planes P₁ and P₂. Let me start by recalling some concepts about planes and lines in 3D geometry.
First, a tetrahedron has four triangular faces. If two of those faces ar... |
[
{
"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 | 193 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. I need to solve this problem where I have to replace the '?'s in a string s such that t becomes a subsequence of s. And if it's not possible, output NO. Hmm.
So, the problem is for each test case, given s and t, check if we can replace the '?'s with lowercase letters (or leave th... |
[
{
"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 likes full moons.\nLet today be day 1. The first day on or after today on which he can see a full moon is da... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 270 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. The problem is to find out how many days between day 1 and day N inclusive, Takahashi can see a full moon. The first full moon is on day M, then every P days after that. So the sequence is M, M+P, M+2P, and so on. But wait, the first day is day 1, and the first full moon is day M.... |
[
{
"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: In modern societies, social status is typically measured by a person's:\nOptions: A. physical strength, B. height, C. musical ability, D. knowledge o... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 128 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to figure out this question about what modern societies measure social status by. The options are A to J, and I need to pick the right one. Hmm, social status... So, in modern societies, how do people determine who is more important or has higher status?
First, I remember that tra... |
[
{
"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: Put a uniform meter scale horizontally on your extended index ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 246 | JEEBench | {
"expected_answer": "25.6",
"problem_id": "13",
"reference_solution": null,
"subject": "phy",
"type": "Numeric"
} | <|begin_of_thought|>
Okay, let's try to figure out this problem. So, we have a uniform meter scale (which is 100 cm long) placed horizontally between two fingers. Initially, when the fingers are moved towards the center, the left finger slips first, and then after some point, the right finger starts slipping. We need ... |
[
{
"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: Let $G$ be a circle of radius $R>0$. Let $G_{1}, G_{2}, \\ldots, G_{n}... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 423 | JEEBench | {
"expected_answer": "CD",
"problem_id": "12",
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | <|begin_of_thought|>
Okay, so I need to solve this problem about circles arranged around a central circle. The options are about different numbers of circles (n=4,5,8,12) and the relationship between their radius r and the central circle's radius R. Let me try to visualize this first. There's a big circle G with radiu... |
[
{
"content": "Problem: Janet rolls a standard $6$-sided die $4$ times and keeps a running total of the numbers she rolls. What is the probability that at some point, her running total will equal $3$? The final answer can be written in the form $\\frac{m}{n}$, where $m$ and $n$ are relatively prime positive inte... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 5,
"temperature": 0.7
} | 5 | 18 | AMC23 | {
"expected_answer": "265",
"problem_id": "20",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, so Janet is rolling a standard 6-sided die 4 times, and we need to find the probability that at some point her running total equals 3. The answer should be in the form m/n where m and n are coprime, and then find m + n. Hmm, let me think about how to approach this.
First, let me make sure I... |
[
{
"content": "Problem: Simplify the following expression to a simplified fraction: $$\\sqrt{\\dfrac{\\dfrac{5}{\\sqrt{80}}+\\dfrac{\\sqrt{845}}{9}+\\sqrt{45}}{\\sqrt5}}.$$\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 331 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. I need to simplify this expression: the square root of (5 over sqrt(80) plus sqrt(845)/9 plus sqrt(45)) all divided by sqrt(5). Hmm, that looks a bit complicated, but maybe if I break it down step by step, it'll make more sense.
First, let me write down the expression clearly to ... |
[
{
"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.A string consisting of 0 and 1 is called a good string if two consecutive characters in the string are always differen... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 388 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's tackle this problem. Hmm, the problem is about processing two types of queries on a binary string. The first query flips a range of characters, and the second checks if a substring is a "good string" (alternating 0s and 1s). The constraints are tight, up to 5e5 operations, so we need a... |
[
{
"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 | 313 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to understand this problem. So, the task is to find the minimum number of paths such that every pair of edges that meet at a common node is covered by at least one selected path. Each selected path can cover certain edge pairs. The goal is to minimize the number of paths needed.
H... |
[
{
"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 array nums consisting of positive integers.\nYou can do the following operation on the array any number of times:\n\nChoose an intege... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 57 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to figure out how to solve this problem. So the task is to find the largest possible element after performing any number of operations. The operation allows us to choose an index i where the current element is less than or equal to the next one, then replace the next element with t... |
[
{
"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 | 208 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to understand this problem. Hmm. So we need to count the number of deterministic max-heaps produced by adding exactly k times via the add operation. The answer has to be modulo p.
First, let's break down the problem. The key points here are:
1. **Deterministic Max-Heap**: Each n... |
[
{
"content": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response.\nProblem: The Interaction between the bosonic field X and fermions is given by\n\n\\mathcal{L}\\left(y\\right)=-\\lambda{f}\\bar{\\psi}{f}\\left(y\\right)\\left(\\upsilon+X\\left(... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 134 | GPQADiamond | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to figure out the kinematically allowed decays of the boson X with a mass of 6 GeV. The Lagrangian given is \(\mathcal{L} = -\lambda f \bar{\psi}_f \left( \upsilon + X(y) \right) \psi_f(y)\). Hmm, so the interaction term involves the fermion fields \(\psi_f\) and the bosonic field ... |
[
{
"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": 1,
"temperature": 0.7
} | 1 | 184 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's tackle this problem. Hmm, the task is to find k distinct points such that their center is exactly (x_c, y_c). And we have to output k points. The key here is that the average of all x coordinates and the average of all y coordinates must equal x_c and y_c respectively.
So for each po... |
[
{
"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: If $f: \\mathbb{R} \\rightarrow \\mathbb{R}$ is a differentiable funct... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 115 | JEEBench | {
"expected_answer": "AC",
"problem_id": "46",
"reference_solution": null,
"subject": "math",
"type": "MCQ(multiple)"
} | <|begin_of_thought|>
Okay, let's tackle this problem step by step. So, the question is about a differentiable function f from the real numbers to the real numbers. The conditions given are that the derivative of f at any x is greater than twice f(x), and f(0) is 1. Then we have four options to consider. Let me go thro... |
[
{
"content": "Problem: In how many ways can 5 students be selected from a group of 6 students?\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 455 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. The problem is asking how many ways we can select 5 students from a group of 6. Hmm. So, first, I need to recall what kind of combinatorial problem this is. When we're choosing people from a group without considering the order, that's a combination problem. Right, combinations are... |
[
{
"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 positive integer array nums.\nPartition nums into two arrays, nums1 and nums2, such that:\n\nEach element of the array nums belongs to either t... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 43 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's tackle this problem. So the task is to partition a given array into two non-empty subsets such that the value of the partition, which is the absolute difference between the maximum of the first subset and the minimum of the second subset, is minimized. Hmm, interesting.
First, I need ... |
[
{
"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: Among $[\\mathrm{Ni(CO)}_{4}]$, $[\\mathrm{NiCl}_{4}]^{2-}$, $[\\mathrm{C... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 14 | JEEBench | {
"expected_answer": "B",
"problem_id": "22",
"reference_solution": null,
"subject": "chem",
"type": "MCQ"
} | <|begin_of_thought|>
Okay, let's tackle this problem step by step. The question is asking about the number of paramagnetic compounds among the given options. The options are: [Ni(CO)₄], [NiCl₄]²⁻, [Co(NH₃)₄Cl₂]Cl, Na₃[CoF₆], Na₂O₂, and CsO₂. The answer choices are from A to D, with possible answers 2, 3, 4, or 5. I ne... |
[
{
"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 sequence A=(A_1,\\ldots,A_N) of length N. The elements of A are distinct.\nProcess Q queries in the or... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 404 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. I need to process a bunch of queries on a sequence where elements are distinct. The two types of queries are inserting an element after a given one or removing an element. After all queries, I have to output the final sequence. Hmm.
The problem is, with N and Q up to 2e5, a naive... |
[
{
"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: What is the amount of water produced (in g) in the oxidation o... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 227 | JEEBench | {
"expected_answer": "288",
"problem_id": "27",
"reference_solution": null,
"subject": "chem",
"type": "Numeric"
} | <|begin_of_thought|>
Okay, let's try to figure out this problem. So, the question is about finding the amount of water produced when 1 mole of rhombic sulfur is oxidized by concentrated HNO3, resulting in a compound with the highest oxidation state of sulfur. And we need to give the answer in grams, correct to two dec... |
[
{
"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: Consider the functions $f, g: \\mathbb{R} \\rightarrow \\mathbb{R}$ defined by\n\\[\nf(x)=x^{2}+\\frac{5}{12} ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 419 | JEEBench | {
"expected_answer": "6",
"problem_id": "8",
"reference_solution": null,
"subject": "math",
"type": "Integer"
} | <|begin_of_thought|>
Okay, so I need to find the area α defined by the set of points (x, y) where |x| ≤ 3/4, and 0 ≤ y ≤ the minimum of f(x) and g(x). Then, I have to multiply that area by 9 to get the final answer. Let me break this down step by step.
First, let me understand the functions f and g. The function f(x)... |
[
{
"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 ball is thrown at an angle of $45^{\\circ}$ to the ground. If the ball lands $90 \\mathrm{~m}$ away, what was the initial speed of the ball?\n\nOpt... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 395 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. I need to find the initial speed of a ball that's thrown at a 45-degree angle and lands 90 meters away. Hmm, projectile motion. Right, when a projectile is launched at an angle, the horizontal distance it travels is called the range. The formula for the range when the launch angle... |
[
{
"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: Which statement about protein digestion and absorption is most correct?\n\nOptions: A. The products of protein digestion may be absorbed as free amin... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 97 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to figure out which statement about protein digestion and absorption is most correct. I need to go through each option one by one and evaluate their accuracy. Let's start by recalling what I know about protein digestion.
First, protein digestion begins in the stomach. The stomach ... |
[
{
"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": 1,
"temperature": 0.7
} | 1 | 211 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's tackle this problem. Hmm, the problem is about moving from a start point to a target point without touching any circles. The circles start with radius 0 and increase at 1 unit per second. Our speed is 1 unit per second. So, the key is to check if there's a path that doesn't enter any c... |
[
{
"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 | 134 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to figure out this problem. So the task is to find the minimum number of operations to turn all cells white in an n x n grid. The operations allowed are either dyeing a 2x2 subgrid white or dyeing an entire row white. Hmm.
First, I need to understand the problem deeply. Let's brea... |
[
{
"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 an integer N and strings R and C of length N consisting of A, B, and C. Solve the following problem.\nTh... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 314 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's tackle this problem. Hmm, the task is to determine if we can fill an N x N grid with A, B, C, such that each row and column has exactly one of each. Also, the first character of each row must match the corresponding character in R, and the first character of each column must match the ... |
[
{
"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: A mixture of ideal gas containing 5 moles of monatomic gas and 1 mole ... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 218 | JEEBench | {
"expected_answer": "ACD",
"problem_id": "5",
"reference_solution": null,
"subject": "phy",
"type": "MCQ(multiple)"
} | <|begin_of_thought|>
Okay, let's tackle this problem step by step. So, we have a mixture of two ideal gases: 5 moles of monatomic gas and 1 mole of rigid diatomic gas. The initial state is P0, V0, T0. They're adiabatically compressed to V0/4. We need to check which of the options A to D are correct. Let's go through e... |
[
{
"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 positive integer N. Print a string of length (N+1), s_0s_1\\ldots s_N, defined as follows.\n\nFor each... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 275 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. I need to solve this problem where given a positive integer N, I have to generate a string of length N+1. Each character in the string depends on divisors of N that are between 1 and 9 inclusive. For each position i, if there's a divisor j (from 1-9) such that i is a multiple of N... |
[
{
"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 frame house, located in a Class A town, insured for $24,000, or the sameframe house, located in a Class B town, insured for thesame $24,000? How mu... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 317 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to figure out this problem. So, we have two frame houses, both insured for $24,000. One is in a Class A town, the other in a Class B town. The question is asking how much difference there is in their insurance costs. The options are various dollar amounts, so I need to determine wh... |
[
{
"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: A flat plate is moving normal to its plane through a gas under the act... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 68 | JEEBench | {
"expected_answer": "ABD",
"problem_id": "1",
"reference_solution": null,
"subject": "phy",
"type": "MCQ(multiple)"
} | <|begin_of_thought|>
Okay, let's try to tackle this physics problem step by step. So, we have a flat plate moving normal to its plane through a gas under a constant force F. The gas is at very low pressure, and the plate's speed v is much less than the average gas molecule speed u. We need to check which of the option... |
[
{
"content": "Generate an executable Python function generated from the given prompt. Return the function body without invoking it at the final solution.The imbalance number of a 0-indexed integer array arr of length n is defined as the number of indices in sarr = sorted(arr) such that:\n\n0 <= i < n - 1, and\n... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 46 | 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 calculate the sum of imbalance numbers for all subarrays of a given array. Hmm, let's start by understanding the problem deeply.
The imbalance number of a subarray is the number of adjacent pairs in the sorted version of the subarray where the di... |
[
{
"content": "Problem: There exist real numbers $x$ and $y$ , both greater than 1, such that $\\log_x\\left(y^x\\right)=\\log_y\\left(x^{4y}\\right)=10$ . Find $xy$ .\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 16 | AIME24 | {
"expected_answer": "25",
"problem_id": "aime24-16",
"reference_solution": "By properties of logarithms, we can simplify the given equation to $x\\log_xy=4y\\log_yx=10$ . Let us break this into two separate equations: \\[x\\log_xy=10\\] \n \\[4y\\log_yx=10.\\] \nWe multiply the two equations to get: \n \\[4xy\\... | <|begin_of_thought|>
Okay, let's try to solve this problem step by step. The problem states that there are real numbers x and y, both greater than 1, such that log base x of (y^x) equals log base y of (x^{4y}) equals 10. We need to find xy. Hmm, okay. Let me start by recalling some logarithm properties to make sense o... |
[
{
"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": 1,
"temperature": 0.7
} | 1 | 364 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's tackle this problem. Hmm, so we have a circuit with n lights and 2n switches. Each light is connected to exactly two switches, and each switch is connected to exactly one light. The switches' states determine the lights' states based on their connections. The goal is to find the minimu... |
[
{
"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 base of a solid is a circular disk with radius 3 . Find the volume of the solid if parallel cross-sections perpendicular to the base are isoscele... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 466 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to figure out this volume problem. The base is a circular disk with radius 3, and we need to find the volume of a solid where each cross-section perpendicular to the base is an isosceles right triangle with the hypotenuse lying along the base. Hmm, okay. So first, let me visualize ... |
[
{
"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 positive integers n and m.\nDefine two integers, num1 and num2, as follows:\n\nnum1: The sum of all integers in the range [1, n] that are not div... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 120 | 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 compute num1 minus num2. Let's see. The problem says num1 is the sum of all integers from 1 to n that are not divisible by m, and num2 is the sum of those divisible by m. Then return num1 - num2.
Hmm, how do I approach this? Well, maybe I can cal... |
[
{
"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 | 248 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. I need to solve this problem where after each operation on an array, I have to find the maximum value. The operations are either incrementing or decrementing elements between l and r. But doing this naively for each operation would be way too slow, especially since n and m can be ... |
[
{
"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 molar constant volume heat capacity for $\\mathrm{I}_2(\\mathrm{~g})$ is $28.6 \\mathrm{~J} \\mathrm{~mol}^{-1} \\mathrm{~K}^{-1}$. What is the v... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 114 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to figure out the vibrational contribution to the heat capacity for I₂(g). The problem states that the molar constant volume heat capacity is 28.6 J mol⁻¹ K⁻¹, and we need to find the vibrational part, assuming electronic contributions are negligible. Hmm, so I remember that the to... |
[
{
"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: From laboratory measurements we know that a particular spectral line formed by hydrogen appears at a wavelength of 486.1 nanometers (nm). The spectru... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 335 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to figure out this problem. So, the question is about a spectral line of hydrogen. On Earth, the wavelength is 486.1 nm, but in the star's spectrum, it's 485.9 nm. We need to figure out what that means about the star.
First, I remember that when light from a source moves away fro... |
[
{
"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": 1,
"temperature": 0.7
} | 1 | 130 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's tackle this problem. Hmm, the problem is about simulating a series of color restrictions on a matrix and determining the minimum cost to paint the matrix according to all the restrictions. The operations allowed are painting entire rows red or columns blue, and each operation has a cos... |
[
{
"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.We have an undirected graph with (N_1+N_2) vertices and M edges. For i=1,2,\\ldots,M, the i-th edge connects vertex a... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 236 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's tackle this problem. Hmm, the task is to find the maximum possible shortest path between vertex 1 and the last vertex (N1 + N2) after adding exactly one edge between a vertex in the first group (1..N1) and a vertex in the second group (N1+1..N1+N2).
First, let's understand the proble... |
[
{
"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 two grids, A and B, each with H rows and W columns.\nFor each pair of integers (i, j) satisfying 1 \\leq... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 345 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's tackle this problem. So, the task is to determine if we can transform grid A into grid B by swapping rows and columns any number of times, and if possible, find the minimum number of operations. Hmm.
First, I need to understand the operations. Each operation is either swapping two adj... |
[
{
"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: Investment demand most likely increases when\nOptions: A. the stock market experiences a downturn., B. inflation rates rise., C. the real rate of int... | {
"do_sample": true,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 195 | MMLUPro | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's try to figure out this question about what increases investment demand. The options are A to J. Hmm, I need to remember the factors that affect investment decisions. Let me start by recalling the basics of macroeconomics, specifically the determinants of investment.
First, investment ... |
[
{
"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": 2,
"temperature": 0.7
} | 2 | 85 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's tackle this problem. So the task is to determine for a given integer x whether it can be expressed as the sum of two large positive integers with the same number of digits. Hmm. Let's start by understanding what a "large" digit is. Oh right, digits between 5 and 9 inclusive. So each di... |
[
{
"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 representing a 12-hour format time where some of the digits (possibly none) are replaced with a \"?\".\n12-hour times are formatted as... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 1,
"temperature": 0.7
} | 1 | 475 | LiveCodeBench | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's see. I need to write a Python function that takes a time string like "1?:?4" and replaces the '?' with digits to get the latest possible valid 12-hour time. Hmm. So the input is a 5-character string where the third character is always a colon, and the rest can be digits or '?'. My job ... |
[
{
"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: The order of the oxidation state of the phosphorus atom in $\\mathrm{H}_{... | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 2,
"temperature": 0.7
} | 2 | 102 | JEEBench | {
"expected_answer": "C",
"problem_id": "23",
"reference_solution": null,
"subject": "chem",
"type": "MCQ"
} | <|begin_of_thought|>
Okay, so I need to figure out the order of oxidation states of the phosphorus atom in these four compounds: H3PO2, H3PO4, H3PO3, and H4P2O6. Hmm. Let me start by recalling how to calculate the oxidation state of an element in a compound.
First, I remember that the oxidation state of hydrogen is ... |
[
{
"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": 1,
"temperature": 0.7
} | 1 | 343 | CodeElo | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, let's tackle this problem. Hmm, so the problem is about Alice cutting a cake into m+1 pieces, then distributing them among m creatures and herself. Each creature needs at least v tastiness, and Alice wants the maximum possible tastiness for her own piece. If it's not possible, output -1.
Fi... |
[
{
"content": "Problem: Find the remainder when $(5x + 9)^{611} + (x + 5)^{11} + (x - 1)^{11} + 3x^2 + 1$ is divided by $x + 2.$\nMark your solution with \\boxed\nAnswer:",
"role": "user"
}
] | {
"do_sample": false,
"max_new_tokens": 32768,
"seed": 0,
"temperature": 0.7
} | 0 | 203 | MATH500 | {
"expected_answer": "",
"problem_id": "",
"reference_solution": "",
"subject": null,
"type": null
} | <|begin_of_thought|>
Okay, so I need to find the remainder when this big polynomial expression is divided by x + 2. Hmm, let me remember. When you divide a polynomial by a linear term like x + 2, the remainder is just the value of the polynomial evaluated at x = -2, right? Because of the Remainder Theorem. So maybe I ... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.