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 -> 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 Given the factorial notation ni = 1 × 2 × 3... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"answer": "1",
"index": 1400,
"question": "Given the factorial notation ni = 1 × 2 × 3 × ⋯ × n, find the last digit of the expression 2014i + 2013i - 2012i + 2011i + ⋯ - 4i + 3i - 2i + 1i. Express your answer as a single digit.",
"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 Bus tickets have numbers ranging from 00000... | math | {
"ground_truth": "7200",
"style": "rule"
} | {
"answer": "7200",
"index": 1401,
"question": "Bus tickets have numbers ranging from 000001 to 999999. A number is considered lucky if the first three digits are odd and different from each other, and the last three digits are even, with 7 and 8 not standing next to each other. How many different lucky numbers a... |
omnimath | [
"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 How many pairs $(x, y)$ of non-negative int... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"answer": "7",
"index": 1402,
"question": "How many pairs $(x, y)$ of non-negative integers with $0 \\leq x \\leq y$ satisfy the equation $5x^{2}-4xy+2x+y^{2}=624$?",
"split": "train"
} |
olympiads | [
"Mathematics -> Number Theory -> 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 For positive reals \\( p \\) and \\( q \\),... | math | {
"ground_truth": "16",
"style": "rule"
} | {
"answer": "16",
"index": 1403,
"question": "For positive reals \\( p \\) and \\( q \\), define the remainder when \\( p \\) is divided by \\( q \\) as the smallest nonnegative real \\( r \\) such that \\( \\frac{p - r}{q} \\) is an integer. For an ordered pair \\( (a, b) \\) of positive integers, let \\( r_1 \\... |
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 vessel of capacity 2 liters has 35% of al... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "8",
"index": 1404,
"question": "A vessel of capacity 2 liters has 35% of alcohol and another vessel of capacity 6 liters has 50% alcohol. The total liquid of 8 liters was poured out into a vessel of a certain capacity and the rest of the vessel was filled with water. The new concentration of the mixt... |
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 Determine the remainder when $$\\sum_{i=0}^... | math | {
"ground_truth": "14",
"style": "rule"
} | {
"answer": "14",
"index": 1405,
"question": "Determine the remainder when $$\\sum_{i=0}^{2015}\\left\\lfloor\\frac{2^{i}}{25}\\right\\rfloor$$ is divided by 100, where $\\lfloor x\\rfloor$ denotes the largest integer not greater than $x$.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Equations and Inequalities -> 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 Given that the solution set of the inequali... | math | {
"ground_truth": "-13",
"style": "rule"
} | {
"answer": "-13",
"index": 1406,
"question": "Given that the solution set of the inequality $|8x+9| < 7$ is the same as that of the inequality $ax^{2}+bx > 2$, find the value of the real number $a+b$.",
"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 Tim came second in math. When his mother as... | math | {
"ground_truth": "30",
"style": "rule"
} | {
"answer": "30",
"index": 1407,
"question": "Tim came second in math. When his mother asked him how much he had scored, he answered that he got the sum of the first few even numbers. His mother immediately worked out the answer. Tim scored 30 in math. How many even numbers did he sum up?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Geometry -> Plane Geometry -> Triangles"
] | 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 a triangle, if two sides have lengths of... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 1408,
"question": "In a triangle, if two sides have lengths of $3$ and $5$, then the length of the third side can be _______. (Fill in only one number)",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Geometry -> Plane 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 The shape of a bridge arch is a parabola. I... | math | {
"ground_truth": "30",
"style": "rule"
} | {
"answer": "30",
"index": 1409,
"question": "The shape of a bridge arch is a parabola. It is known that the width of the parabolic arch is 8 meters, and the area of the parabolic arch is 160 square meters. Then, the height of the parabolic arch is",
"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 in a group of ducks and cows , the total nu... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"answer": "6",
"index": 1410,
"question": "in a group of ducks and cows , the total number of legs are 12 more than twice the no . of heads . find the total no . of buffaloes .",
"split": "train"
} |
big_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 In a soccer league with 6 teams (P, Q, R, S... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"answer": "3",
"index": 1411,
"question": "In a soccer league with 6 teams (P, Q, R, S, T, W), each team must eventually play each other team exactly once. Given that P has played 1 match, Q has played 2 matches, R has played 3 matches, S has played 4 matches, and T has played 5 matches, determine the number of... |
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 Jackie spends 8 hours working, 3 hours exer... | math | {
"ground_truth": "24",
"style": "rule"
} | {
"answer": "24",
"index": 1412,
"question": "Jackie spends 8 hours working, 3 hours exercising, and 8 hours sleeping per day. She also spends 1 hour commuting to and from work, 2 hours preparing and eating meals, 1.5 hours attending language classes, 30 minutes talking on the phone with friends, and 40 minutes r... |
cn_k12 | [
"Mathematics -> Algebra -> Algebraic Expressions -> 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 The coefficient of \\\\(x^{5}\\\\) in the e... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"answer": "6",
"index": 1413,
"question": "The coefficient of \\\\(x^{5}\\\\) in the expansion of \\\\((1+x-x^{2})^{6}\\\\) is \\_\\_\\_\\_\\_\\_.",
"split": "train"
} |
olympiads | [
"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 \\( 29 \\times 29 \\) table, the numbe... | math | {
"ground_truth": "15",
"style": "rule"
} | {
"answer": "15",
"index": 1414,
"question": "In a \\( 29 \\times 29 \\) table, the numbers \\( 1, 2, 3, \\ldots, 29 \\) are each written 29 times. It is found that the sum of the numbers above the main diagonal is three times the sum of the numbers below this diagonal. Find the number written in the central cell... |
cn_k12 | [
"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 Through the focus of the parabola ${{x}^{2}... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"index": 1415,
"question": "Through the focus of the parabola ${{x}^{2}}=2py (p > 0 )$, a line with a slope of $1$ intersects the parabola at points $A$ and $B$. The orthogonal projections of $A$ and $B$ on the $x$-axis are $D$ and $C$, respectively. If the area of trapezoid $ABCD$ is $12 \\sqrt{... |
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 certain quantity is measured on two diffe... | math | {
"ground_truth": "24",
"style": "rule"
} | {
"answer": "24",
"index": 1416,
"question": "A certain quantity is measured on two different scales, the p-scale and the s-scale, that are related linearly. Measurements on the p-scale of 6 and 24 correspond to measurements on the s-scale of 30 and another value, respectively. What measurement on the s-scale cor... |
olympiads | [
"Mathematics -> Discrete Mathematics -> Combinatorics -> 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 how many ways can the numbers from 1 to ... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"index": 1417,
"question": "In how many ways can the numbers from 1 to 100 be rearranged so that neighboring numbers differ by no more than 1?",
"split": "train"
} |
omnimath | [
"Mathematics -> Discrete Mathematics -> 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 $100$ numbers $1$, $1/2$, $1/3$, $...$, $1/... | math | {
"ground_truth": "101",
"style": "rule"
} | {
"answer": "101",
"index": 1418,
"question": "$100$ numbers $1$, $1/2$, $1/3$, $...$, $1/100$ are written on the blackboard. One may delete two arbitrary numbers $a$ and $b$ among them and replace them by the number $a + b + ab$. After $99$ such operations only one number is left. What is this final number?\n\n(... |
cn_k12 | [
"Mathematics -> Number Theory -> Divisibility"
] | 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 a positive integer $n$ greater than 3... | math | {
"ground_truth": "36",
"style": "rule"
} | {
"answer": "36",
"index": 1419,
"question": "Given a positive integer $n$ greater than 30, and $4n - 1$ divides $2002n$, find the value of $n$.",
"split": "train"
} |
orca_math | [
"Mathematics -> Geometry -> Solid 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 measure of the angle y made by the diag... | math | {
"ground_truth": "60",
"style": "rule"
} | {
"answer": "60",
"index": 1420,
"question": "The measure of the angle y made by the diagonals of any adjacent sides of a certain 3D shape is 60 degrees. What is the name of this shape?",
"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 Hank gave his wife, Delphine, a box of 48 c... | math | {
"ground_truth": "14",
"style": "rule"
} | {
"answer": "14",
"index": 1421,
"question": "Hank gave his wife, Delphine, a box of 48 chocolates for Valentine's Day. On the first day, Delphine ate 6 chocolates. On the second day, she ate 8 chocolates, which is 2 more than twice as many chocolates as she ate the first day. On the third day, she ate 3 less tha... |
cn_k12 | [
"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 Calculate the number of different programs ... | math | {
"ground_truth": "7200",
"style": "rule"
} | {
"answer": "7200",
"index": 1422,
"question": "Calculate the number of different programs that can be arranged with 5 solo segments and 3 chorus segments, given that no two chorus segments are adjacent and none are placed first.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Geometry -> Plane 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 that point $M(a,b)$ lies on the line ... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"index": 1423,
"question": "Given that point $M(a,b)$ lies on the line $3x-4y-10=0$, find the minimum value of $\\sqrt{{a}^{2}+{b}^{2}}$.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods -> Combinations"
] | 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 a class meeting, there is a need to sele... | math | {
"ground_truth": "336",
"style": "rule"
} | {
"answer": "336",
"index": 1424,
"question": "In a class meeting, there is a need to select 4 speakers from 6 students, including two specific students, A and B. The requirement is that at least one of A or B must participate. How many different speaking sequences are possible?",
"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 A customer's letter weighs 91.2 grams. The ... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 1425,
"question": "A customer's letter weighs 91.2 grams. The post office charges for stamps based on the following pattern: if the weight does not exceed 20 grams, a 0.8 yuan stamp is required; if it exceeds 20 grams but does not exceed 40 grams, a 1.6 yuan stamp is required; if it exce... |
cn_k12 | [
"Mathematics -> Applied Mathematics -> Statistics -> Probability"
] | 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 52 students in a class. Now, usin... | math | {
"ground_truth": "16",
"style": "rule"
} | {
"answer": "16",
"index": 1426,
"question": "There are 52 students in a class. Now, using the systematic sampling method to draw a sample of size 4, it is known that students with numbers 3, 29, and 42 are in the sample. What is the student number of the fourth student in the sample?",
"split": "train"
} |
omnimath | [
"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 How many positive integers $n \\leq 20000$ ... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 1427,
"question": "How many positive integers $n \\leq 20000$ have the properties that $2n$ has 64 positive divisors including 1 and $2n$, and $5n$ has 60 positive divisors including 1 and $5n$?",
"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 Given any real numbers \\( x \\) and \\( y ... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "8",
"index": 1428,
"question": "Given any real numbers \\( x \\) and \\( y \\), the function \\( f(x) \\) satisfies \\( f(x) + f(y) = f(x + y) + xy \\).\nIf \\( f(1) = m \\), how many positive integer pairs \\( (m, n) \\) satisfy \\( f(n) = 2019 \\)?",
"split": "train"
} |
big_math | [
"Mathematics -> Algebra -> Equations and Inequalities -> 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 $a-b=4$ and $b+c=2$, calculate the va... | math | {
"ground_truth": "28",
"style": "rule"
} | {
"answer": "28",
"index": 1429,
"question": "Given $a-b=4$ and $b+c=2$, calculate the value of $a^2+b^2+c^2-ab+bc+ca$. Express your answer as a single numerical value.",
"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 A round cake is cut into \\( n \\) pieces w... | math | {
"ground_truth": "840",
"style": "rule"
} | {
"answer": "840",
"index": 1430,
"question": "A round cake is cut into \\( n \\) pieces with 3 cuts. Find the product of all possible values of \\( n \\).",
"split": "train"
} |
math | [
"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 How many ordered triplets $(a,b,c)$ of rati... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"answer": "3",
"index": 1431,
"question": "How many ordered triplets $(a,b,c)$ of rational numbers are there where $a,b,c$ are the roots of $x^3 + ax^2 + bx + c = 0?$",
"split": "train"
} |
orca_math | [
"Mathematics -> Algebra -> Prealgebra -> Fractions"
] | 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 If there are 7 eggs in a box and Daniel dec... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"answer": "10",
"index": 1432,
"question": "If there are 7 eggs in a box and Daniel decides to put inside additional 3 and 3/4 more eggs (someone broke one!), how many eggs will be in the box?",
"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 When three different numbers are drawn from... | math | {
"ground_truth": "480",
"style": "rule"
} | {
"answer": "480",
"index": 1433,
"question": "When three different numbers are drawn from 4, 0, 9, and 8 to form a three-digit number, find the third smallest number among them.",
"split": "train"
} |
big_math | [
"Mathematics -> Algebra -> 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 How many three-digit numbers can you subtra... | math | {
"ground_truth": "60",
"style": "rule"
} | {
"answer": "60",
"index": 1434,
"question": "How many three-digit numbers can you subtract 297 from and obtain a second three-digit number which is the original three-digit number reversed? Express your answer as a whole number.",
"split": "train"
} |
big_math | [
"Mathematics -> Applied Mathematics -> Probability -> Combinations"
] | 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 Six soccer teams are competing in a tournam... | math | {
"ground_truth": "70",
"style": "rule"
} | {
"answer": "70",
"index": 1435,
"question": "Six soccer teams are competing in a tournament in Waterloo. Every team is to play three games, each against a different team. (Note that not every pair of teams plays a game together.) Ignoring the order and times of the games, calculate the number of different possib... |
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 In a school with 632 students, the average ... | math | {
"ground_truth": "11",
"style": "rule"
} | {
"answer": "11",
"index": 1436,
"question": "In a school with 632 students, the average age of the boys is 12 years and that of the girls is some years. The average age of the school is 11 years 9 months. The number of girls in the school is 158. What is the average age of the girls?",
"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 Bitna Elementary School decided to hand out... | math | {
"ground_truth": "945",
"style": "rule"
} | {
"answer": "945",
"index": 1437,
"question": "Bitna Elementary School decided to hand out 11 pencils to all students. If Bitna Elementary School purchased 10395 pencils and distributed them to students, how many students would there be in Bitna Elementary School?",
"split": "train"
} |
omnimath | [
"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 Find the maximum possible value of $H \\cdo... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "8",
"index": 1438,
"question": "Find the maximum possible value of $H \\cdot M \\cdot M \\cdot T$ over all ordered triples $(H, M, T)$ of integers such that $H \\cdot M \\cdot M \\cdot T=H+M+M+T$.",
"split": "train"
} |
cn_k12 | [
"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 In the arithmetic sequence $\\left\\{a_n\\r... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"answer": "3",
"index": 1439,
"question": "In the arithmetic sequence $\\left\\{a_n\\right\\}$, if $a_2=4$ and $1+a_3$, $a_6$, $4+a_{10}$ form a geometric sequence, then the common difference $d=$_______",
"split": "train"
} |
big_math | [
"Mathematics -> Applied Mathematics -> Probability -> 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 A travel company needs to select 4 out of 6... | math | {
"ground_truth": "240",
"style": "rule"
} | {
"answer": "240",
"index": 1440,
"question": "A travel company needs to select 4 out of 6 tour buses (A, B, C, D, E, F) to travel to four different scenic spots (Zimeng Lake, Meilin Valley, Huanggang Liang, and Wulan Butong), with each scenic spot receiving exactly one bus and each bus going to only one spot. Ad... |
aops_forum | [
"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 A set $\\mathcal{S}$ of distinct positive... | math | {
"ground_truth": "30",
"style": "rule"
} | {
"answer": "30",
"index": 1441,
"question": "A set $\\mathcal{S}$ of distinct positive integers has the following property: for every integer $x$ in $\\mathcal{S},$ the arithmetic mean of the set of values obtained by deleting $x$ from $\\mathcal{S}$ is an integer. Given that 1 belongs to $\\mathcal{... |
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 Bucket P has thrice the capacity as bucket ... | math | {
"ground_truth": "54",
"style": "rule"
} | {
"answer": "54",
"index": 1442,
"question": "Bucket P has thrice the capacity as bucket Q and bucket R has half the capacity of bucket Q. It takes 80 turns for bucket P to fill an empty drum. How many turns will it take for all three buckets (P, Q and R), having each turn together, to fill the empty drum?",
"s... |
orca_math | [
"Mathematics -> Algebra -> Algebraic Expressions -> 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 if @ is a binary operation defined as the d... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"answer": "1",
"index": 1443,
"question": "if @ is a binary operation defined as the difference between an integer n and the product of n and 5 , then what is the largest positive integer n such that the outcome of the binary operation of n is less than 21 ?",
"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 Let \\( p \\) and \\( q \\) be positive int... | math | {
"ground_truth": "772",
"style": "rule"
} | {
"answer": "772",
"index": 1444,
"question": "Let \\( p \\) and \\( q \\) be positive integers such that \\( \\frac{5}{8}<\\frac{p}{q}<\\frac{7}{8} \\). What is the smallest value of \\( p \\) such that \\( p+q=2005 \\)?",
"split": "train"
} |
omnimath | [
"Mathematics -> Algebra -> Equations and Inequalities -> 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 For how many pairs of nonzero integers $(c,... | math | {
"ground_truth": "8060",
"style": "rule"
} | {
"answer": "8060",
"index": 1445,
"question": "For how many pairs of nonzero integers $(c, d)$ with $-2015 \\leq c, d \\leq 2015$ do the equations $c x=d$ and $d x=c$ both have an integer solution?",
"split": "train"
} |
olympiads | [
"Mathematics -> Discrete Mathematics -> Combinatorics"
] | 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 subset \\( H \\) of the set of numbers \\... | math | {
"ground_truth": "91",
"style": "rule"
} | {
"answer": "91",
"index": 1446,
"question": "A subset \\( H \\) of the set of numbers \\(\\{1, 2, \\ldots, 100\\}\\) has the property that if an element is in \\( H \\), then ten times that element is not in \\( H \\). What is the maximum number of elements that \\( H \\) can have?",
"split": "train"
} |
orca_math | [
"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 The operations, # and *, are respectively d... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"answer": "6",
"index": 1447,
"question": "The operations, # and *, are respectively defined as a # b = 4a^3 + 4b^3 + 8a^2b + c and a * b = 2a^2 - 3b^2 + d^3, for all non-negative integers a and b, and given positive integers c and d. What is the value of (a + b) + 6, when a # x = 250 and (a * b) + x = 50?",
... |
cn_k12 | [
"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 Encrypt integers using the following method... | math | {
"ground_truth": "891134",
"style": "rule"
} | {
"answer": "891134",
"index": 1448,
"question": "Encrypt integers using the following method: each digit of the number becomes the units digit of its product with 7, then replace each digit $a$ with $10-a$. If a number is encrypted using the above method and the result is 473392, then the original number is ____... |
olympiads | [
"Mathematics -> Number Theory -> Greatest Common Divisors (GCD)"
] | 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 For how many remaining years this century (... | math | {
"ground_truth": "30",
"style": "rule"
} | {
"answer": "30",
"index": 1449,
"question": "For how many remaining years this century (after 2025 and up to and including 2099) will the highest common factor of the first two digits and the last two digits be equal to one?",
"split": "train"
} |
big_math | [
"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 Given the line \\(l_{1}\\): \\(4x-3y+6=0\\)... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"index": 1450,
"question": "Given the line \\(l_{1}\\): \\(4x-3y+6=0\\) and the line \\(l_{2}\\): \\(x=-1\\), find the minimum sum of distances from a point \\(P\\) on the parabola \\(y^{2}=4x\\) to the lines \\(l_{1}\\) and \\(l_{2}\\). Express your answer as a single numerical value.",
"split... |
olympiads | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 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 Initially, the fairy tale island was divide... | math | {
"ground_truth": "54",
"style": "rule"
} | {
"answer": "54",
"index": 1451,
"question": "Initially, the fairy tale island was divided into three counties: in the first county lived only elves, in the second - only dwarves, and in the third - only centaurs.\n\n- During the first year, each county where there were no elves was divided into three counties.\n... |
olympiads | [
"Mathematics -> Applied Mathematics -> 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 Find the minimum value of \\( M \\) such th... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"answer": "10",
"index": 1452,
"question": "Find the minimum value of \\( M \\) such that the function\n$$\nf(x) = x^2 - 2x + 1\n$$\n\nfor any partition of the interval \\([0, 4]\\)\n$$\n0 = x_0 < x_1 < \\cdots < x_{n-1} < x_n = 4,\n$$\n\nalways satisfies\n$$\n\\sum_{i=1}^{n} \\left| f\\left( x_i \\right) - f\\... |
big_math | [
"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 Given positive numbers $a$ and $b$ satisfy ... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"answer": "9",
"index": 1453,
"question": "Given positive numbers $a$ and $b$ satisfy $a+b-ab+3=0$, find the minimum value of $ab$. Express your answer as a single number.",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 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 number of numbers \\( N \\) from t... | math | {
"ground_truth": "412",
"style": "rule"
} | {
"answer": "412",
"index": 1454,
"question": "Find the number of numbers \\( N \\) from the set \\(\\{1, 2, \\ldots, 2018\\}\\) for which positive solutions \\( x \\) exist for the equation\n\n$$\nx^{[x]} = N\n$$\n\n(where \\([x]\\) is the integer part of the real number \\( x \\), i.e., the largest integer not ... |
cn_k12 | [
"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 Divide 300 candies, 210 cookies, and 163 ap... | math | {
"ground_truth": "23",
"style": "rule"
} | {
"answer": "23",
"index": 1455,
"question": "Divide 300 candies, 210 cookies, and 163 apples evenly among the students of a class, with the remaining candies, cookies, and apples in the ratio of 1:3:2. How many students are there in the class?",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Math Word Problems"
] | 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 Along a straight alley, 100 lanterns are pl... | math | {
"ground_truth": "64",
"style": "rule"
} | {
"answer": "64",
"index": 1456,
"question": "Along a straight alley, 100 lanterns are placed at equal intervals, numbered sequentially from 1 to 100. Simultaneously, Petya and Vasya start walking towards each other from opposite ends of the alley with different constant speeds (Petya starts from the first lanter... |
olympiads | [
"Mathematics -> Number Theory -> 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 Find the sum of all positive integers whose... | math | {
"ground_truth": "550",
"style": "rule"
} | {
"answer": "550",
"index": 1457,
"question": "Find the sum of all positive integers whose largest proper divisor is 55. (A proper divisor of \\( n \\) is a divisor that is strictly less than \\( n \\)).",
"split": "train"
} |
orca_math | [
"Mathematics -> Algebra -> Simple Equations"
] | 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 You made the mistake of subtracting 63 inst... | math | {
"ground_truth": "568",
"style": "rule"
} | {
"answer": "568",
"index": 1458,
"question": "You made the mistake of subtracting 63 instead of multiplying a number by 8, and got 8. What is the correct calculation result?",
"split": "train"
} |
aops_forum | [
"Mathematics -> Discrete Mathematics -> Combinatorics"
] | 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 1000 doors $D_1, D_2, . . . , D_... | math | {
"ground_truth": "31",
"style": "rule"
} | {
"answer": "31",
"index": 1459,
"question": "There are 1000 doors $D_1, D_2, . . . , D_{1000}$ and 1000 persons $P_1, P_2, . . . , P_{1000}$ .\nInitially all the doors were closed. Person $P_1$ goes and opens all the doors.\nThen person $P_2$ closes door $D_2, D_4, . . . , D_{1000}$ and leaves the odd ... |
big_math | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods"
] | 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 7 people stand in a row. If person A and pe... | math | {
"ground_truth": "2400",
"style": "rule"
} | {
"answer": "2400",
"index": 1460,
"question": "7 people stand in a row. If person A and person B do not stand next to person C, find the total number of different arrangements. Express your answer as a single integer.",
"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 Pascal has 96 miles remaining to complete h... | math | {
"ground_truth": "16",
"style": "rule"
} | {
"answer": "16",
"index": 1461,
"question": "Pascal has 96 miles remaining to complete his cycling trip. If he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by a certain percentage. His current speed is 8 miles per ... |
cn_k12 | [
"Mathematics -> Algebra -> Algebraic Expressions"
] | 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 the sum of all the coefficients ... | math | {
"ground_truth": "-84",
"style": "rule"
} | {
"answer": "-84",
"index": 1462,
"question": "Given that the sum of all the coefficients of the binomial $({2{x^2}-\\frac{1}{x}})^n$ is $128$, find the coefficient of the term containing $\\frac{1}{x}$ in its expansion.",
"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 town X, 60 percent of the population are... | math | {
"ground_truth": "45",
"style": "rule"
} | {
"answer": "45",
"index": 1463,
"question": "In town X, 60 percent of the population are employed, and 15 percent of the population are employed males. What percent of the employed people in town X are females?",
"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 The product of the first three terms of a g... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"answer": "12",
"index": 1464,
"question": "The product of the first three terms of a geometric sequence is 2, the product of the last three terms is 4, and the product of all terms is 64. Find the number of terms in this sequence. Express your answer as a whole number.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Number Theory -> Greatest Common Divisors (GCD)"
] | 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 greatest common divisor of the three nu... | math | {
"ground_truth": "17",
"style": "rule"
} | {
"answer": "17",
"index": 1465,
"question": "The greatest common divisor of the three numbers 1734, 816, and 1343 is",
"split": "train"
} |
big_math | [
"Mathematics -> Applied Mathematics -> Statistics -> Probability"
] | 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 residential community with 1500 househ... | math | {
"ground_truth": "34",
"style": "rule"
} | {
"answer": "34",
"index": 1466,
"question": "In a residential community with 1500 households, the monthly electricity consumption approximately follows a normal distribution $N(200, 100)$. Using the reference data provided, calculate the estimated number of households with monthly electricity consumption above 2... |
omnimath | [
"Mathematics -> Number Theory -> Least Common Multiples (LCM)"
] | 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 rational numbers $x$ and $y$, when writ... | math | {
"ground_truth": "84",
"style": "rule"
} | {
"answer": "84",
"index": 1467,
"question": "The rational numbers $x$ and $y$, when written in lowest terms, have denominators 60 and 70 , respectively. What is the smallest possible denominator of $x+y$ ?",
"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 a certain number of men complete a piece of... | math | {
"ground_truth": "48",
"style": "rule"
} | {
"answer": "48",
"index": 1468,
"question": "a certain number of men complete a piece of work in 60 days . if there were 8 men more , the work could be finished in 10 days less . how many men were originally there ?",
"split": "train"
} |
olympiads | [
"Mathematics -> Discrete Mathematics -> Combinatorics"
] | 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 How many nonempty subsets of {1, 2, 3, ...,... | math | {
"ground_truth": "1365",
"style": "rule"
} | {
"answer": "1365",
"index": 1469,
"question": "How many nonempty subsets of {1, 2, 3, ..., 12} have the property that the sum of the largest element and the smallest element is 13?",
"split": "train"
} |
orca_math | [
"Mathematics -> Algebra -> Simple Equations"
] | 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 value of 72519 x a number = 724827... | math | {
"ground_truth": "10005",
"style": "rule"
} | {
"answer": "10005",
"index": 1470,
"question": "Find the value of 72519 x a number = 724827405. What is the number?",
"split": "train"
} |
big_math | [
"Mathematics -> Algebra -> Sequences and Series"
] | 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 a geometric sequence {a_n}, where a_1... | math | {
"ground_truth": "16",
"style": "rule"
} | {
"answer": "16",
"index": 1471,
"question": "Given a geometric sequence {a_n}, where a_1 + a_2 = 2 and a_4 + a_5 = 4, find the value of a_10 + a_11. Express your answer as a single integer.",
"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 What is the maximum length of a closed, non... | math | {
"ground_truth": "76",
"style": "rule"
} | {
"answer": "76",
"index": 1472,
"question": "What is the maximum length of a closed, non-self-intersecting polyline that follows the grid lines of a $6 \\times 10$ checkered field?",
"split": "train"
} |
omnimath | [
"Mathematics -> Algebra -> Equations and Inequalities -> Quadratic 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 Consider the quadratic equation $x^{2}-(r+7... | math | {
"ground_truth": "8098",
"style": "rule"
} | {
"answer": "8098",
"index": 1473,
"question": "Consider the quadratic equation $x^{2}-(r+7) x+r+87=0$ where $r$ is a real number. This equation has two distinct real solutions $x$ which are both negative exactly when $p<r<q$, for some real numbers $p$ and $q$. What is the value of $p^{2}+q^{2}$?",
"split": "tr... |
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 An engineer designed a ball so that when it... | math | {
"ground_truth": "45",
"style": "rule"
} | {
"answer": "45",
"index": 1474,
"question": "An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 16-meter platform and caught it after it had traveled a certain distance. The ball bounced 4 times. How fa... |
cn_k12 | [
"Mathematics -> Geometry -> Plane Geometry -> Triangles"
] | 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 \\\\(\\triangle ABC\\\\), \\\\(B=30^{\\c... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 1475,
"question": "In \\\\(\\triangle ABC\\\\), \\\\(B=30^{\\circ}\\\\), \\\\(AC=2\\sqrt{5}\\\\), \\\\(D\\\\) is a point on side \\\\(AB\\\\), \\\\(CD=2\\\\), if \\\\(\\angle ACD\\\\) is acute, and the area of \\\\(\\triangle ACD\\\\) is \\\\(4\\\\), then \\\\(BC=\\)_______.",
"split":... |
cn_k12 | [
"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 Given the sequence $\\{a\\_n\\}$ satisfies ... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"answer": "3",
"index": 1476,
"question": "Given the sequence $\\{a\\_n\\}$ satisfies $a\\_1=2$, $a_{n+1}= \\frac {1+a\\_n}{1-a\\_n} (n∈N^{})$, find the product of the first 2015 terms of the sequence, i.e., $a\\_1 ⋅a\\_2 ⋅a\\_3 ⋅…a_{2015}=$ \\_\\_\\_\\_\\_\\_.",
"split": "train"
} |
big_math | [
"Mathematics -> Algebra -> Equations and Inequalities -> 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 system, points ... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"answer": "6",
"index": 1477,
"question": "In the Cartesian coordinate system, points whose x and y coordinates are both integers are called lattice points. Let $k$ be an integer. When the intersection point of the lines $y = x - 3$ and $y = kx + k$ is an integer, find the number of possible values of $k$. Expr... |
big_math | [
"Mathematics -> Applied Mathematics -> Statistics -> 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 Assign four people to clean three offices, ... | math | {
"ground_truth": "36",
"style": "rule"
} | {
"answer": "36",
"index": 1478,
"question": "Assign four people to clean three offices, with at least one person assigned to each office. Find the total number of different assignments possible. Express your answer as a whole number.",
"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 Dalton, Hunter, Alex, Bella, and Chris form... | math | {
"ground_truth": "63",
"style": "rule"
} | {
"answer": "63",
"index": 1479,
"question": "Dalton, Hunter, Alex, Bella, and Chris formed a Superhero Fan Club. They set a goal to watch as many Superhero movies as they could in one summer. Dalton watched 15 movies, Hunter watched 19, Alex watched 25, Bella watched 21, and Chris watched 11. They all watched 5 ... |
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 fellow borrowed a certain sum of money at... | math | {
"ground_truth": "1940",
"style": "rule"
} | {
"answer": "1940",
"index": 1480,
"question": "A fellow borrowed a certain sum of money at 3% per annum at simple interest and in 3 years the interest amounted to a certain amount less than the sum lent. The sum lent was Rs. 2000. How much less was the interest compared to the sum lent?",
"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 Let $P$ be a point on the plane of $\\trian... | math | {
"ground_truth": "14",
"style": "rule"
} | {
"answer": "14",
"index": 1481,
"question": "Let $P$ be a point on the plane of $\\triangle ABC$ that satisfies $3PA + 4\\vec{u}P = m\\vec{B}$ with $m > 0$. If the area of $\\triangle ABP$ is 8, find the area of $\\triangle ABC$.",
"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 When Jeffrey walks, for every three steps f... | math | {
"ground_truth": "110",
"style": "rule"
} | {
"answer": "110",
"index": 1482,
"question": "When Jeffrey walks, for every three steps forward, he takes two steps backwards. The distance between the house and the mailbox is some steps. Jeffrey takes a total of 330 steps when he goes from the house to the mailbox. What is the distance between the house and th... |
big_math | [
"Mathematics -> Geometry -> Plane Geometry -> Area"
] | 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 diagram, \\( AC = 4 \\), \\( BC = 3 ... | math | {
"ground_truth": "14",
"style": "rule"
} | {
"answer": "14",
"index": 1483,
"question": "In the diagram, \\( AC = 4 \\), \\( BC = 3 \\), and \\( BD = 10 \\). Find the area of the shaded triangle. Express your answer as a whole number.",
"split": "train"
} |
big_math | [
"Mathematics -> Algebra -> Sequences and Series"
] | 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 a geometric sequence {a_n} with commo... | math | {
"ground_truth": "-2",
"style": "rule"
} | {
"answer": "-2",
"index": 1484,
"question": "Given a geometric sequence {a_n} with common ratio q (q > 0) and its partial sum denoted by S_n, if S_2 = 3a_2 + 2 and S_4 = 3a_4 + 2, find the value of a_1.",
"split": "train"
} |
orca_math | [
"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 In the land of Alphazia, only one or two-le... | math | {
"ground_truth": "258",
"style": "rule"
} | {
"answer": "258",
"index": 1485,
"question": "In the land of Alphazia, only one or two-letter words are used. The local language has 128 different letters. The parliament decided to forbid the use of the 15th and 27th letters. How many words have the people of Alphazia lost because of the prohibition?",
"split... |
big_math | [
"Mathematics -> Calculus -> 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 Given {(x1,x2,x3,x4) ⊆ {x | (x-3) * sin(πx)... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"answer": "12",
"index": 1486,
"question": "Given {(x1,x2,x3,x4) ⊆ {x | (x-3) * sin(πx) = 1, x > 0}}, find the minimum value of x1+x2+x3+x4.",
"split": "train"
} |
cn_k12 | [
"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 Given that the function $f(x)$ defined on $... | math | {
"ground_truth": "-1",
"style": "rule"
} | {
"answer": "-1",
"index": 1487,
"question": "Given that the function $f(x)$ defined on $\\mathbb{R}$ satisfies $f(x+5)=-f(x)+2$, and $f(x)=x$ when $x∈(0,5)$, find the value of $f(2018)$.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> 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 Given $f(n) = n^2 \\cos(n\\pi)$ and $a_n = ... | math | {
"ground_truth": "-100",
"style": "rule"
} | {
"answer": "-100",
"index": 1488,
"question": "Given $f(n) = n^2 \\cos(n\\pi)$ and $a_n = f(n) + f(n+1)$, find the sum of $a_1 + a_2 + a_3 + \\cdots + a_{100}$.",
"split": "train"
} |
big_math | [
"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 Given that the sequence {a<sub>n</sub>} is ... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"answer": "6",
"index": 1489,
"question": "Given that the sequence {a<sub>n</sub>} is an increasing sequence, where a<sub>n</sub> belongs to the set of positive integers (N*), and $$a_{a_{n}}$$ = 2n + 1 for n in N*, determine the value of a<sub>4</sub>. Express your answer as a single integer.",
"split": "tra... |
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 In triangle $ABC$ , let $P$ and $R$ be... | math | {
"ground_truth": "84",
"style": "rule"
} | {
"answer": "84",
"index": 1490,
"question": "In triangle $ABC$ , let $P$ and $R$ be the feet of the perpendiculars from $A$ onto the external and internal bisectors of $\\angle ABC$ , respectively; and let $Q$ and $S$ be the feet of the perpendiculars from $A$ onto the internal and external bisecto... |
olympiads | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods -> Permutations"
] | 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 Find the number of different four-digit num... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"answer": "9",
"index": 1491,
"question": "Find the number of different four-digit numbers that can be obtained by rearranging the digits of the number 2021 (including this number).",
"split": "train"
} |
big_math | [
"Mathematics -> Algebra -> Algebraic Expressions -> 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 Find the constant term in the expansion of ... | math | {
"ground_truth": "141",
"style": "rule"
} | {
"answer": "141",
"index": 1492,
"question": "Find the constant term in the expansion of (x+1+1/x)^6. Express your answer as a single integer.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Algebraic Expressions"
] | 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 Simplify first, then evaluate: $\\frac{1}{2... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"answer": "9",
"index": 1493,
"question": "Simplify first, then evaluate: $\\frac{1}{2}a-2(a-\\frac{1}{2}b^{2})-(\\frac{3}{2}a-\\frac{1}{3}b^{2})$, where $a=-2$, $b=\\frac{3}{2}$.",
"split": "train"
} |
big_math | [
"Mathematics -> Applied Mathematics -> Probability -> 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 school decided to implement a \"3 teacher... | math | {
"ground_truth": "90",
"style": "rule"
} | {
"answer": "90",
"index": 1494,
"question": "A school decided to implement a \"3 teachers for 5 top students\" mentorship approach where each teacher mentors no more than 2 students. Calculate the number of different mentorship arrangements possible, considering the students are divided into groups of 2, 2, and ... |
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 Vasya wrote twenty threes in a row on a boa... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"answer": "9",
"index": 1495,
"question": "Vasya wrote twenty threes in a row on a board. By placing \"+\" signs between some of them, Vasya found that the sum equals 600. How many plus signs did Vasya place?",
"split": "train"
} |
math | [
"Mathematics -> Applied Mathematics -> 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 The harmonic mean of two positive integers ... | math | {
"ground_truth": "799",
"style": "rule"
} | {
"answer": "799",
"index": 1496,
"question": "The harmonic mean of two positive integers is the reciprocal of the arithmetic mean of their reciprocals. For how many ordered pairs of positive integers $(x,y)$ with $x<y$ is the harmonic mean of $x$ and $y$ equal to $6^{20}$?",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Statistics -> 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 A round-robin table tennis tournament is he... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"answer": "6",
"index": 1497,
"question": "A round-robin table tennis tournament is held among three players: A, B, and C. The scoring system awards 2 points for a win, 0 points for a loss, and 1 point for a draw. How many different possible combinations of scores are there for the three players at the end of t... |
cn_k12 | [
"Mathematics -> Algebra -> Sequences and Series"
] | 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 a geometric sequence $\\{a_n\\}$, it is ... | math | {
"ground_truth": "48",
"style": "rule"
} | {
"answer": "48",
"index": 1498,
"question": "In a geometric sequence $\\{a_n\\}$, it is known that $a_1+a_2=2$ and $a_3+a_4=4$. Calculate the value of $a_7+a_8+a_9+a_{10}$.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Geometry -> Non-Euclidean 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 The left vertex of the hyperbola $\\frac{x^... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"index": 1499,
"question": "The left vertex of the hyperbola $\\frac{x^2}{a^2}-\\frac{y^2}{b^2}=1 (a>0, b>0)$ is $A$, and the right focus is $F(c,0)$. If the line $x=c$ intersects the hyperbola at points $B$ and $C$, forming an isosceles right triangle $\\triangle ABC$, then the eccentricity of t... |
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