source stringclasses 10 values | domain listlengths 1 3 | llama8b_solve_rate float64 0 0.09 ⌀ | data_source stringclasses 1 value | prompt listlengths 1 1 | ability stringclasses 1 value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|---|
big_math | [
"Mathematics -> Precalculus -> Trigonometric Functions"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Evaluate the expression $\\frac{1}{\\sin 10... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 21400,
"question": "Evaluate the expression $\\frac{1}{\\sin 10^{\\circ}} - \\frac{\\sqrt{3}}{\\sin 80^{\\circ}}$. Express your answer as a single number.",
"split": "train"
} |
olympiads | [
"Mathematics -> Discrete Mathematics -> Combinatorics"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n The set \\( M = \\{-1, 0, 1, -2, 2, 10, 20,... | math | {
"ground_truth": "-1",
"style": "rule"
} | {
"answer": "-1",
"index": 21401,
"question": "The set \\( M = \\{-1, 0, 1, -2, 2, 10, 20, -30, 99, -100\\} \\) has 10 elements. Let all non-empty subsets of \\( M \\) be denoted \\( M_i \\), \\( i = 1, 2, 3, \\ldots, 1023 \\). The product of all elements in each \\( M_i \\) is denoted as \\( m_i \\) (\\( i = 1, 2, 3, \\ldots, 1023 \\)). Find \\( \\sum_{i=1}^{1023} m_i \\).",
"split": "train"
} |
big_math | [
"Mathematics -> Algebra -> Sequences and Series"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n The sum of the first 4 terms of a geometric... | math | {
"ground_truth": "15",
"style": "rule"
} | {
"answer": "15",
"index": 21402,
"question": "The sum of the first 4 terms of a geometric sequence is 5, and the sum of the first 12 terms is 35. What is the sum of the first 8 terms? Express your answer as a single integer.",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Two decks, each containing 36 cards, were p... | math | {
"ground_truth": "1260",
"style": "rule"
} | {
"answer": "1260",
"index": 21403,
"question": "Two decks, each containing 36 cards, were placed on a table. The first deck was shuffled and placed on top of the second deck. For each card in the first deck, the number of cards between it and the same card in the second deck was counted. What is the sum of these 36 numbers?",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n How many two-digit numbers have at least on... | math | {
"ground_truth": "55",
"style": "rule"
} | {
"answer": "55",
"index": 21404,
"question": "How many two-digit numbers have at least one digit that is smaller than the corresponding digit in the number 35?\n\nFor example, the numbers 17 and 21 qualify, whereas the numbers 36 and 48 do not.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Polynomial Operations"
] | 0.09375 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given that (x+1)<sup>10</sup> = a<sub>0</su... | math | {
"ground_truth": "3360",
"style": "rule"
} | {
"answer": "3360",
"index": 21405,
"question": "Given that (x+1)<sup>10</sup> = a<sub>0</sub> + a<sub>1</sub>(x-1) + a<sub>2</sub>(x-1)<sup>2</sup> + ... + a<sub>10</sub>(x-1)<sup>10</sup>, find the value of a<sub>6</sub>.",
"split": "train"
} |
omnimath | [
"Mathematics -> Number Theory -> Other"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Anna thinks of an integer. It is not a mult... | math | {
"ground_truth": "14",
"style": "rule"
} | {
"answer": "14",
"index": 21406,
"question": "Anna thinks of an integer. It is not a multiple of three. It is not a perfect square. The sum of its digits is a prime number. What could be the integer that Anna is thinking of?",
"split": "train"
} |
olympiads | [
"Mathematics -> Number Theory -> Other"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Let $a_n$ be the integer closest to $\\sqrt... | math | {
"ground_truth": "88",
"style": "rule"
} | {
"answer": "88",
"index": 21407,
"question": "Let $a_n$ be the integer closest to $\\sqrt{n}$. Find the sum\n\n$$\n\\frac{1}{a_{1}}+\\frac{1}{a_{2}}+\\ldots+\\frac{1}{a_{1980}}.\n$$",
"split": "train"
} |
big_math | [
"Mathematics -> Algebra -> Polynomial Operations"
] | 0 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Find the minimum value of the function f(x)... | math | {
"ground_truth": "34",
"style": "rule"
} | {
"answer": "34",
"index": 21408,
"question": "Find the minimum value of the function f(x) = (x+1)(x+2)(x+3)(x+4) + 35. Express your answer as a single number.",
"split": "train"
} |
big_math | [
"Mathematics -> Geometry -> Other",
"Mathematics -> Calculus -> Other"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given the parabola equation y^2 = 16x and p... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 21409,
"question": "Given the parabola equation y^2 = 16x and point A(1, 2), with P being a point on the parabola and F the focus of the parabola, calculate the minimum value of |PF| + |PA|. Express your answer as a single numerical value.",
"split": "train"
} |
big_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.078125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given the function f(x) = x^2 + 3x + 2 and ... | math | {
"ground_truth": "67",
"style": "rule"
} | {
"answer": "67",
"index": 21410,
"question": "Given the function f(x) = x^2 + 3x + 2 and the set S = {0, 1, 2,..., 100}, find the number of values of a in S such that f(a) is divisible by 6. Express your answer as a single integer.",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In the image, there is a cube with an edge ... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"answer": "10",
"index": 21411,
"question": "In the image, there is a cube with an edge length of $2 \\text{ cm}$ composed of eight smaller cubes, each with an edge length of $1 \\text{ cm}$. Eight faces of the small cubes are painted black, while the rest are white. It is possible to assemble the bigger cube such that its surface is entirely white. In how many ways can the small cubes be painted? Assume that identically painted small cubes cannot be distinguished and can be interchanged.",
"split": "train"
} |
big_math | [
"Mathematics -> Algebra -> Equations and Inequalities"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Among the 2014 positive integers from 1 to ... | math | {
"ground_truth": "40",
"style": "rule"
} | {
"answer": "40",
"index": 21412,
"question": "Among the 2014 positive integers from 1 to 2014, how many integers x satisfy the equation x - [sqrt(x)]^2 = 9? Express your answer as a single integer.",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods -> Other"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n After walking so much that his feet get rea... | math | {
"ground_truth": "14",
"style": "rule"
} | {
"answer": "14",
"index": 21413,
"question": "After walking so much that his feet get really tired, the beaver staggers so that, at each step, his coordinates change by either $(+1,+1)$ or $(+1,-1)$. Now he walks from $(0,0)$ to $(8,0)$ without ever going below the $x$-axis. How many such paths are there?",
"split": "train"
} |
big_math | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods -> Combinations"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A high school student has two types of post... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"answer": "10",
"index": 21414,
"question": "A high school student has two types of postcards, A and B, celebrating the school's anniversary: 2 type A postcards and 3 type B postcards. He wants to pick 4 postcards to send one to each of his 4 middle school teachers. Calculate the total number of different ways he can choose the postcards. Express your answer as a single integer.",
"split": "train"
} |
omnimath | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Jeffrey writes the numbers 1 and $100000000... | math | {
"ground_truth": "10000",
"style": "rule"
} | {
"answer": "10000",
"index": 21415,
"question": "Jeffrey writes the numbers 1 and $100000000=10^{8}$ on the blackboard. Every minute, if $x, y$ are on the board, Jeffrey replaces them with $\\frac{x+y}{2} \\text{ and } 2\\left(\\frac{1}{x}+\\frac{1}{y}\\right)^{-1}$. After 2017 minutes the two numbers are $a$ and $b$. Find $\\min (a, b)$ to the nearest integer.",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In Italy, they produce clocks in which the ... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"answer": "12",
"index": 21416,
"question": "In Italy, they produce clocks in which the hour hand completes one full rotation per day, and the minute hand completes 24 rotations per day. As usual, the minute hand is longer than the hour hand. Consider all positions of the two hands and the zero marking on the Italian clock that coincide with those on a regular clock. How many such positions exist on the Italian clock within a day? (The zero marking on the Italian clock represents 24 hours, while on a regular clock it represents 12 hours.)",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods -> Combinations"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n 4 students go to 3 communities to participa... | math | {
"ground_truth": "36",
"style": "rule"
} | {
"answer": "36",
"index": 21417,
"question": "4 students go to 3 communities to participate in garbage classification promotion activities. Each student can only go to 1 community, and each community must have at least 1 student. The total number of different arrangements is ______.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Geometry -> Other"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n If a complex number $z$ satisfies $|z+3i|=5... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"answer": "10",
"index": 21418,
"question": "If a complex number $z$ satisfies $|z+3i|=5$ (where $i$ is the imaginary unit), then the maximum value of $|z+4|$ is __________.",
"split": "train"
} |
big_math | [
"Mathematics -> Algebra -> Sequences and Series"
] | 0 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given the sequence $\\{a\\_n\\}$, where $a\... | math | {
"ground_truth": "505",
"style": "rule"
} | {
"answer": "505",
"index": 21419,
"question": "Given the sequence $\\{a\\_n\\}$, where $a\\_1=1$, $a\\_2=2+3$, $a\\_3=4+5+6$, $a\\_4=7+8+9+10$,..., calculate the value of $a\\_{10}$. Express your answer as a single integer.",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.078125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A large rectangle is divided into four iden... | math | {
"ground_truth": "28",
"style": "rule"
} | {
"answer": "28",
"index": 21420,
"question": "A large rectangle is divided into four identical smaller rectangles by slicing parallel to one of its sides. The perimeter of the large rectangle is 18 metres more than the perimeter of each of the smaller rectangles. The area of the large rectangle is 18 square metres more than the area of each of the smaller rectangles. What is the perimeter in metres of the large rectangle?",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.09375 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Alec is running for Class President. He thi... | math | {
"ground_truth": "60",
"style": "rule"
} | {
"answer": "60",
"index": 21421,
"question": "Alec is running for Class President. He thinks that if he can get three-quarters of the class to vote for him then there is no chance anyone else can beat him. Half of the class have already said they will vote for him but out of the remaining students, only 5 have said they are thinking about voting for him. He surveys the students who are thinking about voting for someone else, and changes his flyers to reflect the issues these students are concerned about. This results in a fifth of these students saying they'll vote for him. If Alec's class has a certain number of students and everyone who said they will vote for him does so, Alec needs 5 more votes to reach his goal number of votes. How many students are there in Alec's class?",
"split": "train"
} |
olympiads | [
"Mathematics -> Algebra -> Other"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A seven-digit number, where the sum of ever... | math | {
"ground_truth": "9072083",
"style": "rule"
} | {
"answer": "9072083",
"index": 21422,
"question": "A seven-digit number, where the sum of every two adjacent digits from left to right is 9, 7, 9, 2, 8, 11. What is this seven-digit number?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Equations and Inequalities -> Other"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given that the solution set of the inequali... | math | {
"ground_truth": "-2",
"style": "rule"
} | {
"answer": "-2",
"index": 21423,
"question": "Given that the solution set of the inequality $(ax-a^{2}-4)(x-4) \\gt 0$ with respect to $x$ is $A$, and $A$ contains a total of $n$ integers, the minimum value of the real number $a$ is ____.",
"split": "train"
} |
big_math | [
"Mathematics -> Precalculus -> Trigonometric Functions"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Find the minimum value of the function f(x)... | math | {
"ground_truth": "-1",
"style": "rule"
} | {
"answer": "-1",
"index": 21424,
"question": "Find the minimum value of the function f(x) = 2cos^2 x + sin x. Express your answer as a single number.",
"split": "train"
} |
big_math | [
"Mathematics -> Geometry -> Plane Geometry -> Triangles"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In the diagram, $\\triangle PQR$ is right-a... | math | {
"ground_truth": "44",
"style": "rule"
} | {
"answer": "44",
"index": 21425,
"question": "In the diagram, $\\triangle PQR$ is right-angled at $P$ and $PR = 12$. If point $S$ is on $PQ$ so that $SQ = 11$ and $SR = 13$, find the perimeter of $\\triangle QRS$. Express your answer as a whole number.",
"split": "train"
} |
math | [
"Mathematics -> Geometry -> Other"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In the complex plane, the graph of $|z - 3|... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"answer": "9",
"index": 21426,
"question": "In the complex plane, the graph of $|z - 3| = 2|z + 3|$ intersects the graph of $|z| = k$ in exactly one point. Find all possible values of $k.$\n\nEnter all possible values, separated by commas.",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.078125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A hurricane is approaching the southern coa... | math | {
"ground_truth": "60",
"style": "rule"
} | {
"answer": "60",
"index": 21427,
"question": "A hurricane is approaching the southern coast of Texas, and a rancher is planning to move 400 head of cattle 60 miles to higher ground to protect them from possible inland flooding that might occur. His animal transport truck holds 20 head of cattle. Traveling at a certain speed, it took him 40 hours to transport all of his cattle to higher ground. What was the speed of the truck in miles per hour?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Geometry -> Non-Euclidean Geometry -> Hyperbolic Geometry"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Find the distance from the focus to the asy... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"index": 21428,
"question": "Find the distance from the focus to the asymptote of the hyperbola $\\dfrac{x^{2}}{2} - \\dfrac{y^{2}}{4} = 1$.",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n There are 47 students in a class, with the ... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"answer": "12",
"index": 21429,
"question": "There are 47 students in a class, with the classroom arranged in 6 rows and 8 columns. Each seat can be denoted as \\((i, j)\\) where \\(i\\) is the row number and \\(j\\) is the column number. At the beginning of the new semester, seats will be rearranged such that a student originally seated at \\((i, j)\\) is moved to \\((m, n)\\). The movement of the student is described by \\([a, b] = [i - m, j - n]\\), and the sum \\(a + b\\) is referred to as the student's position number. The total sum of all students' position numbers is denoted as \\(S\\). Determine the difference between the maximum and minimum possible values of \\(S\\).",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Linear Algebra -> Vectors"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given vectors $\\overrightarrow {a}$ and $\... | math | {
"ground_truth": "-1",
"style": "rule"
} | {
"answer": "-1",
"index": 21430,
"question": "Given vectors $\\overrightarrow {a}$ and $\\overrightarrow {b}$ that satisfy $| \\overrightarrow {a}|=2$, $| \\overrightarrow {b}|=1$, and $\\overrightarrow {b} \\perp ( \\overrightarrow {a}+ \\overrightarrow {b})$, determine the projection of vector $\\overrightarrow {a}$ onto vector $\\overrightarrow {b}$.",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Amy has 18 math problems and 6 spelling pro... | math | {
"ground_truth": "11",
"style": "rule"
} | {
"answer": "11",
"index": 21431,
"question": "Amy has 18 math problems and 6 spelling problems for her homework. She can finish 3 math problems and 2 spelling problems in an hour. Given that she takes a 15-minute break after every hour, how long will it take her to finish all the problems?",
"split": "train"
} |
big_math | [
"Mathematics -> Geometry -> Plane Geometry -> Other"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In the diagram, \\( PQ \\) is perpendicular... | math | {
"ground_truth": "13",
"style": "rule"
} | {
"answer": "13",
"index": 21432,
"question": "In the diagram, \\( PQ \\) is perpendicular to \\( QR \\), \\( QR \\) is perpendicular to \\( RS \\), and \\( RS \\) is perpendicular to \\( ST \\). If \\( PQ=4 \\), \\( QR=8 \\), \\( RS=8 \\), and \\( ST=3 \\), then calculate the distance from \\( P \\) to \\( T \\). Express your answer as a whole number.",
"split": "train"
} |
aops_forum | [
"Mathematics -> Algebra -> Sequences and Series"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Consider a sequence $x_1,x_2,\\cdots x_{12... | math | {
"ground_truth": "622",
"style": "rule"
} | {
"answer": "622",
"index": 21433,
"question": "Consider a sequence $x_1,x_2,\\cdots x_{12}$ of real numbers such that $x_1=1$ and for $n=1,2,\\dots,10$ let \\[ x_{n+2}=\\frac{(x_{n+1}+1)(x_{n+1}-1)}{x_n}. \\] Suppose $x_n>0$ for $n=1,2,\\dots,11$ and $x_{12}=0$ . Then the value of $x_2$ can be written as $\\frac{\\sqrt{a}+\\sqrt{b}}{c}$ for positive integers $a,b,c$ with $a>b$ and no square dividing $a$ or $b$ . Find $100a+10b+c$ .",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Other",
"Mathematics -> Geometry -> Other"
] | 0.09375 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given the set $P=\\{x|1\\leq x\\leq 8, x\\i... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"answer": "3",
"index": 21434,
"question": "Given the set $P=\\{x|1\\leq x\\leq 8, x\\in \\mathbb{Z}\\}$, the line $y=2x+1$ and the hyperbola $mx^2-ny^2=1$ have exactly one common point, where $m, n \\in P$. The number of hyperbolas that satisfy the above condition is _______.",
"split": "train"
} |
orca_math | [
"Mathematics -> Algebra -> Other"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n When 13 is divided by A, the quotient is 4,... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 21435,
"question": "When 13 is divided by A, the quotient is 4, the remainder is B. A and B are both natural numbers. Find the largest possible value of A.",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.09375 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In a certain race, A beats B by 70 m and B ... | math | {
"ground_truth": "1000",
"style": "rule"
} | {
"answer": "1000",
"index": 21436,
"question": "In a certain race, A beats B by 70 m and B beats C by 100 m. In the same race, A beats C by 163 m. What is the total length of the race?",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n The cost price of some books is equal to th... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "8",
"index": 21437,
"question": "The cost price of some books is equal to the selling price of 16 books. The gain or loss percentage is 50%. How many books were bought at the cost price?",
"split": "train"
} |
orca_math | [
"Mathematics -> Number Theory -> Other"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n There are 8 positive integers less than 15 ... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 21438,
"question": "There are 8 positive integers less than 15 that can be expressed as the sum of a positive multiple of 2 and a positive multiple of another number. What is that number?",
"split": "train"
} |
aops_forum | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods -> Combinations"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n $(MON 1)$ Find the number of five-digit n... | math | {
"ground_truth": "1944",
"style": "rule"
} | {
"answer": "1944",
"index": 21439,
"question": " $(MON 1)$ Find the number of five-digit numbers with the following properties: there are two pairs of digits such that digits from each pair are equal and are next to each other, digits from different pairs are different, and the remaining digit (which does not belong to any of the pairs) is different from the other digits.",
"split": "train"
} |
big_math | [
"Mathematics -> Geometry -> Plane Geometry -> Other"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given that $G$ is the centroid of $\\triang... | math | {
"ground_truth": "60",
"style": "rule"
} | {
"answer": "60",
"index": 21440,
"question": "Given that $G$ is the centroid of $\\triangle ABC$, and $(56\\sin A)\\overrightarrow{GA}+(40\\sin B)\\overrightarrow{GB}+(35\\sin C)\\overrightarrow{GC}=\\vec{0}$, determine the magnitude of $\\angle B$ in degrees.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Precalculus -> Trigonometric Functions"
] | 0 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Evaluate the expression: $\\frac{\\sqrt{3}}... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 21441,
"question": "Evaluate the expression: $\\frac{\\sqrt{3}}{\\sin 20^{\\circ}} - \\frac{1}{\\cos 20^{\\circ}} = \\_\\_\\_\\_\\_\\_ \\ .$",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In a game you start with 2 lives. In the fi... | math | {
"ground_truth": "25",
"style": "rule"
} | {
"answer": "25",
"index": 21442,
"question": "In a game you start with 2 lives. In the first level, you gain a number of extra lives equal to 2x, where x is the number of enemies you defeated (assume you defeated 5 enemies). However, due to a penalty, you must subtract 3 lives before moving onto the next level. In the second level, you gain lives equal to 3y, where y is the number of power-ups collected (assume you collected 4 power-ups), but a game modifier reduces the lives earned by half of your remaining first-level lives. If you successfully complete the third level, you receive a bonus life reward based on the following formula: z = x + 2y - 5, where z is the number of bonus lives. How many lives would you have in total after completing the third level?",
"split": "train"
} |
aops_forum | [
"Mathematics -> Discrete Mathematics -> Graph Theory"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Initially, all edges of the $K_{2024}$ ar... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"answer": "7",
"index": 21443,
"question": "Initially, all edges of the $K_{2024}$ are painted with $13$ different colors. If there exist $k$ colors such that the subgraph constructed by the edges which are colored with these $k$ colors is connected no matter how the initial coloring was, find the minimum value of $k$ .",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A bowl of fruit holds some peaches. Four of... | math | {
"ground_truth": "17",
"style": "rule"
} | {
"answer": "17",
"index": 21444,
"question": "A bowl of fruit holds some peaches. Four of the peaches are ripe and two more ripen every day, but on the third day three are eaten. After five days, there are 7 more ripe peaches than unripe peaches in the bowl. How many peaches were in the bowl initially?",
"split": "train"
} |
olympiads | [
"Mathematics -> Geometry -> Solid Geometry -> 3D Shapes"
] | 0 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Each edge of a regular tetrahedron is divid... | math | {
"ground_truth": "27",
"style": "rule"
} | {
"answer": "27",
"index": 21445,
"question": "Each edge of a regular tetrahedron is divided into three equal parts. Through each point of division, two planes are drawn, each parallel to one of the two faces of the tetrahedron that do not pass through this point. Into how many parts do the constructed planes divide the tetrahedron?",
"split": "train"
} |
olympiads | [
"Mathematics -> Number Theory -> Other"
] | 0 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Determine the largest even positive integer... | math | {
"ground_truth": "38",
"style": "rule"
} | {
"answer": "38",
"index": 21446,
"question": "Determine the largest even positive integer which cannot be expressed as the sum of two composite odd positive integers.",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n The average (arithmetic mean) of the 7 posi... | math | {
"ground_truth": "53",
"style": "rule"
} | {
"answer": "53",
"index": 21447,
"question": "The average (arithmetic mean) of the 7 positive integers k, m, p, r, s, t, and u is 24, where k < m < p < r < s < t < u. If t is 54 and the sum of the lowest two numbers, k and m, is at most 20, what is the greatest possible value of the median (r) of the 7 integers?",
"split": "train"
} |
math | [
"Mathematics -> Geometry -> Plane Geometry -> Triangles"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In triangle $ABC,\\,$ angle $C$ is a right ... | math | {
"ground_truth": "450",
"style": "rule"
} | {
"answer": "450",
"index": 21448,
"question": "In triangle $ABC,\\,$ angle $C$ is a right angle and the altitude from $C\\,$ meets $\\overline{AB}\\,$ at $D.\\,$ The lengths of the sides of $\\triangle ABC\\,$ are integers, $BD=29^3,\\,$ and $\\cos B=m/n\\,$, where $m\\,$ and $n\\,$ are relatively prime positive integers. Find $m+n.\\,$",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Algebraic Expressions"
] | 0 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n If $(3x+ \\sqrt {7})^{4}=a_{0}+a_{1}x+a_{2}... | math | {
"ground_truth": "16",
"style": "rule"
} | {
"answer": "16",
"index": 21449,
"question": "If $(3x+ \\sqrt {7})^{4}=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}$, then find the value of $(a_{0}+a_{2}+a_{4})^{2}-(a_{1}+a_{3})^{2}$.",
"split": "train"
} |
big_math | [
"Mathematics -> Discrete Mathematics -> Combinatorics -> Other"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n What is the smallest possible number of sub... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 21450,
"question": "What is the smallest possible number of subsets into which the set of integers can be divided such that the difference between any two elements in a subset is not a prime number?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Precalculus -> Trigonometric Functions"
] | 0.09375 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n If $3\\sin\\alpha + \\cos\\alpha = 0$, then... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 21451,
"question": "If $3\\sin\\alpha + \\cos\\alpha = 0$, then the value of $$\\frac {1}{\\cos2\\alpha +\\sin2\\alpha }$$ is \\_\\_\\_\\_\\_\\_.",
"split": "train"
} |
olympiads | [
"Mathematics -> Discrete Mathematics -> Combinatorics -> Other"
] | 0.078125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n The figure shown in the image was cut into ... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 21452,
"question": "The figure shown in the image was cut into unit squares and $1 \\times 2$ rectangles. What is the maximum number of $1 \\times 2$ rectangles that could have been obtained in this way?",
"split": "train"
} |
orca_math | [
"Mathematics -> Geometry -> Solid Geometry -> Surface Area"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n The surface area of a sphere is 4πr^2, wher... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"answer": "3",
"index": 21453,
"question": "The surface area of a sphere is 4πr^2, where r is a variable representing the radius of the sphere. If the area of the base of a hemisphere is 3, what is the surface area of that hemisphere in terms of r?",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Dave had 15 apps and some files on his phon... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"answer": "10",
"index": 21454,
"question": "Dave had 15 apps and some files on his phone. After deleting some apps and files he had 21 apps and 4 files left. Dave has 17 more apps than files left on his phone. How many files did Dave initially have on his phone?",
"split": "train"
} |
big_math | [
"Mathematics -> Algebra -> Other"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Every asterisk in the equation \\(2 * 0 * 1... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"answer": "1",
"index": 21455,
"question": "Every asterisk in the equation \\(2 * 0 * 1 * 5 * 2 * 0 * 1 * 5 * 2 * 0 * 1 * 5 = 0\\) is to be replaced with either \\(+\\) or \\(-\\) so that the equation is correct. What is the smallest number of asterisks that can be replaced with \\(+\\) to make the equation correct? Express your answer as a single integer.",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A plot of land has the shape of an irregula... | math | {
"ground_truth": "29",
"style": "rule"
} | {
"answer": "29",
"index": 21456,
"question": "A plot of land has the shape of an irregular pentagon with sides measuring 15 meters, 22 meters, 40 meters, 30 meters, and 18 meters. The poles of the fence should be kept 4 meters apart on the first three sides, and 5 meters apart on the last two sides. How many poles will be needed to enclose the plot?",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Some of the 20 metal cubes, which are ident... | math | {
"ground_truth": "11",
"style": "rule"
} | {
"answer": "11",
"index": 21457,
"question": "Some of the 20 metal cubes, which are identical in size and appearance, are made of aluminum, and the rest are made of duralumin (which is heavier). How can you determine the number of duralumin cubes using 11 weighings on a balance scale without weights?",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Early this morning, Elise left her home in ... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 21458,
"question": "Early this morning, Elise left her home in a cab headed for the hospital. Traffic was light, with two brief slowdowns that increased her travel time by 20%. The cab company charged her a base price of $3, and a rate of $4 per mile traveled, plus an additional $2 for each of the three tolls along the route. Elise also decided to tip the driver 15% of the total fare before the tip. In total, she paid $34.34 for the cab ride. Considering the additional factors of traffic, tolls, and tipping, how far is the hospital from Elise's house?",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n There were 90 jellybeans in a jar. Samantha... | math | {
"ground_truth": "84",
"style": "rule"
} | {
"answer": "84",
"index": 21459,
"question": "There were 90 jellybeans in a jar. Samantha snuck 24 jellybeans out of the jar, without being seen. Shelby ate 12 jellybeans from the jar. Their cousin, Scarlett, had a secret code that allowed her to take out twice the number of jellybeans Shelby ate, but she had to return half of what she took out. Their mom, Shannon, refilled the jar with half as much as Samantha and Shelby took out. How many jellybeans are in the jar now?",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n An industrial machine can make 6 shirts a m... | math | {
"ground_truth": "156",
"style": "rule"
} | {
"answer": "156",
"index": 21460,
"question": "An industrial machine can make 6 shirts a minute. It worked for 12 minutes yesterday and for 14 shirts today.. How many shirts did machine make altogether?",
"split": "train"
} |
olympiads | [
"Mathematics -> Number Theory -> Other"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Determine the last digit of the number \\( ... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"index": 21461,
"question": "Determine the last digit of the number \\( S \\) if",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A box contains 25 tablets of medicine A, 30... | math | {
"ground_truth": "55",
"style": "rule"
} | {
"answer": "55",
"index": 21462,
"question": "A box contains 25 tablets of medicine A, 30 tablets of medicine B, and 20 tablets of medicine C. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods -> Combinations"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n There are 22 seats in a row. If 4 candidate... | math | {
"ground_truth": "840",
"style": "rule"
} | {
"answer": "840",
"index": 21463,
"question": "There are 22 seats in a row. If 4 candidates must be seated for an exam such that there are at least 5 empty seats between any two candidates, how many different seating arrangements are possible?",
"split": "train"
} |
aops_forum | [
"Mathematics -> Geometry -> Solid Geometry -> Other"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A paper equilateral triangle of side length... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"answer": "1",
"index": 21464,
"question": "A paper equilateral triangle of side length $2$ on a table has vertices labeled $A,B,C.$ Let $M$ be the point on the sheet of paper halfway between $A$ and $C.$ Over time, point $M$ is lifted upwards, folding the triangle along segment $BM,$ while $A,B,$ and $C$ on the table. This continues until $A$ and $C$ touch. Find the maximum volume of tetrahedron $ABCM$ at any time during this process.",
"split": "train"
} |
olympiads | [
"Mathematics -> Combinatorics -> Other"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n As shown in the diagram, three circles inte... | math | {
"ground_truth": "15",
"style": "rule"
} | {
"answer": "15",
"index": 21465,
"question": "As shown in the diagram, three circles intersect to create seven regions. Fill the integers $0 \\sim 6$ into the seven regions such that the sum of the four numbers within each circle is the same. What is the maximum possible value of this sum?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Equations and Inequalities -> Other"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n If $m$ is a solution to the equation $x^2+x... | math | {
"ground_truth": "-6",
"style": "rule"
} | {
"answer": "-6",
"index": 21466,
"question": "If $m$ is a solution to the equation $x^2+x-1=0$, then the value of the algebraic expression $m^3+2m^2-7$ is.",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.09375 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In a college of 200 students, 10 students d... | math | {
"ground_truth": "215",
"style": "rule"
} | {
"answer": "215",
"index": 21467,
"question": "In a college of 200 students, 10 students did not borrow any books from the library, 30 students each borrowed 1 book, 40 students each borrowed 2 books, 50 students each borrowed 3 books, and 25 students each borrowed 5 books. If the average number of books per student was 3, what is the maximum number of books any single student could have borrowed?",
"split": "train"
} |
olympiads | [
"Mathematics -> Geometry -> Plane Geometry -> Other"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In the Cartesian coordinate plane \\(xOy\\)... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"index": 21468,
"question": "In the Cartesian coordinate plane \\(xOy\\), points \\(A\\) and \\(B\\) are on the parabola \\(y^2 = 4x\\) and satisfy \\(\\overrightarrow{OA} \\cdot \\overrightarrow{OB} = -4\\). \\(F\\) is the focus of the parabola. Find \\(S_{\\triangle OP} \\cdot S_{\\triangle ORP} =\\).",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Other"
] | 0.09375 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given the function $f(x) = \\begin{cases} x... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"answer": "1",
"index": 21469,
"question": "Given the function $f(x) = \\begin{cases} x^{2}+2015x+\\sin(x), & x\\geq 0 \\\\ -x^{2}+\\lambda x+\\cos(x+\\alpha), & x<0 \\end{cases}$ is an odd function, then $\\sin(\\lambda\\alpha) = \\_\\_\\_\\_\\_\\_$.",
"split": "train"
} |
olympiads | [
"Mathematics -> Number Theory -> Factorization"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In how many ways can the number 10000 be fa... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"answer": "6",
"index": 21470,
"question": "In how many ways can the number 10000 be factored into three natural factors, none of which is divisible by 10? Factors that differ only in the order of multiplication are considered the same.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Equations and Inequalities"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given that when $x=2p-q+3$ and $x=p+4q$, th... | math | {
"ground_truth": "46",
"style": "rule"
} | {
"answer": "46",
"index": 21471,
"question": "Given that when $x=2p-q+3$ and $x=p+4q$, the value of the polynomial $x^{2}+6x+6$ is equal, and $p-5q+3\\neq 0$, then when $x=5\\left(p+q+1\\right)$, the value of this polynomial is ______.",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Two pipes A and B can separately fill a cis... | math | {
"ground_truth": "75",
"style": "rule"
} | {
"answer": "75",
"index": 21472,
"question": "Two pipes A and B can separately fill a cistern in 60 min and some time respectively. There is a third pipe in the bottom of the cistern to empty it. If all the 3 pipes are simultaneously opened, then the cistern is full in 50 min. The third pipe alone can empty the cistern in 100.00000000000001 minutes. In how much time can pipe B fill the cistern?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Geometry -> Plane Geometry -> Other"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In triangle $ABC$, $\\sin A= \\frac {5}{13}... | math | {
"ground_truth": "25",
"style": "rule"
} | {
"answer": "25",
"index": 21473,
"question": "In triangle $ABC$, $\\sin A= \\frac {5}{13}$ and $\\cos B= \\frac {3}{5}$. If the longest side has a length of $63$, then the length of the shortest side is __________.",
"split": "train"
} |
olympiads | [
"Mathematics -> Algebra -> Equations and Inequalities"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n There are four natural numbers with a sum o... | math | {
"ground_truth": "576",
"style": "rule"
} | {
"answer": "576",
"index": 21474,
"question": "There are four natural numbers with a sum of 243. If 8 is added to the first number, 8 is subtracted from the second number, the third number is multiplied by 8, and the fourth number is divided by 8, the resulting four numbers are equal. What is the product of the largest and smallest of the original four numbers?",
"split": "train"
} |
big_math | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods -> Other"
] | 0 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A railway freight station is organizing and... | math | {
"ground_truth": "720",
"style": "rule"
} | {
"answer": "720",
"index": 21475,
"question": "A railway freight station is organizing and dispatching 8 coal freight trains into two groups, each containing 4 trains. The conditions are that trains A and B cannot be in the same group, train A departs first, and train B departs last. If the group containing train A departs first, find the total number of different departure sequences for these 8 trains. Express your answer as a single integer.",
"split": "train"
} |
orca_math | [
"Mathematics -> Algebra -> Other"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n The sum of the squares of the first 15 posi... | math | {
"ground_truth": "3720",
"style": "rule"
} | {
"answer": "3720",
"index": 21476,
"question": "The sum of the squares of the first 15 positive integers is equal to some number. The sum of the squares of the second 15 positive integers is 8185. What is the sum of the squares of the first 15 positive integers?",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A travel company launched a promotion: \"Bu... | math | {
"ground_truth": "29",
"style": "rule"
} | {
"answer": "29",
"index": 21477,
"question": "A travel company launched a promotion: \"Buy a tour to Egypt, bring four friends who also buy the tour, and get the cost of your tour refunded.\" During the promotion, 13 customers came by themselves, and the rest were brought by friends. Some of them brought exactly four new clients, while the remaining 100 brought no one. How many tourists went to the Land of the Pyramids for free?",
"split": "train"
} |
big_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.09375 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A student participated in five tests, each ... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 21478,
"question": "A student participated in five tests, each with a maximum score of 100. The student's scores for each test were between 0 and 100, including 100. It is known that the student scored the same in the first four tests and scored higher in the last test. Given that the student's average score across the five tests was 82, how many possible scores could they have for the last test? Express your answer as a single integer.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Algebraic Expressions -> Binomial Theorem"
] | 0.078125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In the expansion of \\\\(\\left(x- \\dfrac{... | math | {
"ground_truth": "-7",
"style": "rule"
} | {
"answer": "-7",
"index": 21479,
"question": "In the expansion of \\\\(\\left(x- \\dfrac{1}{2x}\\right)^{8} \\\\), the coefficient of the \\\\(x^{2} \\\\) term is",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n A choir originally consists of 70 singers. ... | math | {
"ground_truth": "60",
"style": "rule"
} | {
"answer": "60",
"index": 21480,
"question": "A choir originally consists of 70 singers. Unfortunately, 10 singers were absent on the day of the performance, leaving 60 singers to participate. In the first verse, only half of them sang. In the second verse, a third of the remaining singers joined in. In the third verse, a quarter of the still remaining singers joined. In the fourth verse, one-fifth of the remaining singers joined in. Additionally, during the fourth verse, 5 singers who were late arrived and joined the performance. Finally, in the fifth verse, the whole choir sang together. How many singers joined in the fifth verse?",
"split": "train"
} |
olympiads | [
"Mathematics -> Combinatorics -> Other"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Pile up 2019 stones into one pile. First, p... | math | {
"ground_truth": "2037171",
"style": "rule"
} | {
"answer": "2037171",
"index": 21481,
"question": "Pile up 2019 stones into one pile. First, person A splits this pile into two piles and writes the product of the number of stones in each pile on the blackboard. Then, person A selects one pile from the two and splits it into two more piles, again writing the product of the number of stones in each pile on the blackboard. Person A continues this process until all piles have exactly 1 stone. At this point, what is the total sum of the numbers on the blackboard?",
"split": "train"
} |
big_math | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods -> Combinations"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Four families, A, B, C, and D, each have tw... | math | {
"ground_truth": "24",
"style": "rule"
} | {
"answer": "24",
"index": 21482,
"question": "Four families, A, B, C, and D, each have two children, making a total of 8 individuals. They plan to use two cars, labeled as Alpha and Beta, for an outing. Each car can seat 4 individuals, and the arrangement of the 4 children in the same car does not consider the seating order. However, the twin sisters from family A must ride in the same car. Calculate the number of ways that four children can ride in car Alpha such that exactly two of them are from the same family.",
"split": "train"
} |
big_math | [
"Mathematics -> Algebra -> Other"
] | 0.078125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Let $f:(0,\\infty) \\rightarrow (0,\\infty)... | math | {
"ground_truth": "21",
"style": "rule"
} | {
"answer": "21",
"index": 21483,
"question": "Let $f:(0,\\infty) \\rightarrow (0,\\infty)$ be a function such that\n\\[ \n10\\cdot \\frac{x+y}{xy}=f(x)\\cdot f(y)-f(xy)-90\n\\]\nfor every $x,y \\in (0,\\infty)$. Calculate the value of $f(\\frac{1}{11})$. Express your answer as a single integer.",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In a class, there are students with various... | math | {
"ground_truth": "17",
"style": "rule"
} | {
"answer": "17",
"index": 21484,
"question": "In a class, there are students with various preferences for sports. 7 students like baseball and football, 3 students only like baseball, 4 students only like football, and 2 students like basketball as well. Also, 1 student likes basketball and football but not baseball, while 2 students like all three sports. Lastly, there are 5 students who don't like any of these sports. How many students are in the class?",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Barney washes his kitchen towels once a wee... | math | {
"ground_truth": "18",
"style": "rule"
} | {
"answer": "18",
"index": 21485,
"question": "Barney washes his kitchen towels once a week. He owns some towels and uses two at a time that he changes to clean towels daily. He missed one week of laundry. The following week, Barney will not have clean towels for 5 days. How many towels does Barney own?",
"split": "train"
} |
olympiads | [
"Mathematics -> Geometry -> Plane Geometry -> Other"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n The bases \\( AB \\) and \\( CD \\) of trap... | math | {
"ground_truth": "2020",
"style": "rule"
} | {
"answer": "2020",
"index": 21486,
"question": "The bases \\( AB \\) and \\( CD \\) of trapezoid \\( ABCD \\) are 101 and 20 respectively, and its diagonals are mutually perpendicular. Find the scalar product of the vectors \\(\\overrightarrow{AD}\\) and \\(\\overrightarrow{BC}\\).",
"split": "train"
} |
olympiads | [
"Mathematics -> Algebra -> Polynomial Operations"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In the expression \\((x+y+z)^{2032}+(x-y-z)... | math | {
"ground_truth": "1034289",
"style": "rule"
} | {
"answer": "1034289",
"index": 21487,
"question": "In the expression \\((x+y+z)^{2032}+(x-y-z)^{2032}\\), the parentheses were expanded and like terms were combined. How many monomials \\(x^{a} y^{b} z^{c}\\) with a nonzero coefficient are obtained?",
"split": "train"
} |
aops_forum | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods -> Other"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n In how many different orders can the charac... | math | {
"ground_truth": "20",
"style": "rule"
} | {
"answer": "20",
"index": 21488,
"question": "In how many different orders can the characters $P \\ U \\ M \\ \\alpha \\ C$ be arranged such that the $M$ is to the left of the $\\alpha$ and the $\\alpha$ is to the left of the $C?$ ",
"split": "train"
} |
big_math | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods -> Combinations"
] | 0.046875 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Form a four-digit number using the digits 2... | math | {
"ground_truth": "14",
"style": "rule"
} | {
"answer": "14",
"index": 21489,
"question": "Form a four-digit number using the digits 2 and 3, with both digits appearing at least once. Count the total number of such four-digit numbers. Express your answer as a single numerical value.",
"split": "train"
} |
olympiads | [
"Mathematics -> Geometry -> Other"
] | 0 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n The area enclosed by the graph of the funct... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "8",
"index": 21490,
"question": "The area enclosed by the graph of the function \\(y=|x-1|+|x+1|\\) and the line \\(y=c\\) is 30. What is the value of the constant \\(c\\)?",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.0625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Jack is reading a 575-page book. If he read... | math | {
"ground_truth": "57",
"style": "rule"
} | {
"answer": "57",
"index": 21491,
"question": "Jack is reading a 575-page book. If he reads 37 pages per day, but takes a break every 3 days, how many pages will he read on the last day he completes the book?",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n a man spends 1 / 3 rd of his salary on food... | math | {
"ground_truth": "8123",
"style": "rule"
} | {
"answer": "8123",
"index": 21492,
"question": "a man spends 1 / 3 rd of his salary on food . he spends 1 / 4 th on rent and 1 / 5 th on cloths . if he is left with 1760 , then who much salary does he earn",
"split": "train"
} |
aops_forum | [
"Mathematics -> Geometry -> Plane Geometry -> Other"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Three parallel lines $L_1, L_2, L_2$ are ... | math | {
"ground_truth": "45",
"style": "rule"
} | {
"answer": "45",
"index": 21493,
"question": "Three parallel lines $L_1, L_2, L_2$ are drawn in the plane such that the perpendicular distance between $L_1$ and $L_2$ is $3$ and the perpendicular distance between lines $L_2$ and $L_3$ is also $3$ . A square $ABCD$ is constructed such that $A$ lies on $L_1$ , $B$ lies on $L_3$ and $C$ lies on $L_2$ . Find the area of the square.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Precalculus -> Trigonometric Functions"
] | 0.078125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Given $\\tan (\\alpha+\\beta)=1$ and $\\tan... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"answer": "1",
"index": 21494,
"question": "Given $\\tan (\\alpha+\\beta)=1$ and $\\tan (\\alpha-\\beta)=2$, find the value of $\\dfrac{\\sin 2\\alpha}{\\cos 2\\beta}$.",
"split": "train"
} |
aops_forum | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Bobbo starts swimming at $2$ feet/s acros... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"answer": "3",
"index": 21495,
"question": "Bobbo starts swimming at $2$ feet/s across a $100$ foot wide river with a current of $5$ feet/s. Bobbo doesn’t know that there is a waterfall $175$ feet from where he entered the river. He realizes his predicament midway across the river. What is the minimum speed that Bobbo must increase to make it to the other side of the river safely?",
"split": "train"
} |
olympiads | [
"Mathematics -> Geometry -> Plane Geometry -> Other"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n The legs of a right triangle are 15 and 20.... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"answer": "3",
"index": 21496,
"question": "The legs of a right triangle are 15 and 20. Find the distance from the center of the inscribed circle to the altitude dropped to the hypotenuse.",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.015625 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Connie initially had a certain number of ma... | math | {
"ground_truth": "3052",
"style": "rule"
} | {
"answer": "3052",
"index": 21497,
"question": "Connie initially had a certain number of marbles. She lost half of her marbles during a game with her friends. The next day, she gave away 2/3 of her remaining marbles to Juan. After that, her friend Melinda borrowed 15% of the marbles she had left. She now has 432 marbles. How many marbles did Connie have initially?",
"split": "train"
} |
big_math | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods -> Other"
] | 0.03125 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Five students, named A, B, C, D, and E, are... | math | {
"ground_truth": "150",
"style": "rule"
} | {
"answer": "150",
"index": 21498,
"question": "Five students, named A, B, C, D, and E, are signing up for three labor education courses, A, B, and C. Each student can only sign up for one course, and each course must have at least one student participating. Calculate the total number of different ways the students can sign up for the courses.",
"split": "train"
} |
aops_forum | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 0.09375 | xinpeng/Big-Math-RL-Verified-Combined-digit-hard-int-only | [
{
"content": "<|im_start|>system\nYou are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer. You should try to truely solve the question by yourself without cheating. <|im_end|>\n<|im_start|>user\n Meredith drives 5 miles to the northeast, t... | math | {
"ground_truth": "20",
"style": "rule"
} | {
"answer": "20",
"index": 21499,
"question": "Meredith drives 5 miles to the northeast, then 15 miles to the southeast, then 25 miles to the southwest, then 35 miles to the northwest, and finally 20 miles to the northeast. How many miles is Meredith from where she started?",
"split": "train"
} |
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