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 |
|---|---|---|---|---|---|---|---|
cn_k12 | [
"Mathematics -> Calculus -> 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 Find the minimum value of the function $y= ... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 1900,
"question": "Find the minimum value of the function $y= \\sqrt {x^{2}-8x+17}+ \\sqrt {x^{2}+4}$.",
"split": "train"
} |
big_math | [
"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 that x and y are positive real number... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"answer": "1",
"index": 1901,
"question": "Given that x and y are positive real numbers and satisfy the equation 3xy - x - y - 1 = 0, find the minimum value of xy. Express your answer as a single 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 Simplify the expression $\\dfrac{ \\sqrt{1-... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"answer": "1",
"index": 1902,
"question": "Simplify the expression $\\dfrac{ \\sqrt{1-2\\sin 40^{\\circ}\\cos 40^{\\circ}}}{\\cos 40^{\\circ}- \\sqrt{1-\\sin ^{2}50^{\\circ}}}$.",
"split": "train"
} |
aops_forum | [
"Mathematics -> Number Theory -> Prime Numbers"
] | 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 two-digit positive integer is $\\textit{... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"answer": "10",
"index": 1903,
"question": "A two-digit positive integer is $\\textit{primeable}$ if one of its digits can be deleted to produce a prime number. A two-digit positive integer that is prime, yet not primeable, is $\\textit{unripe}$ . Compute the total number of unripe integers.",
"split": "train"
} |
big_math | [
"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 Given the numbers 2, 3, 12, 14, 15, 20, 21,... | math | {
"ground_truth": "2520",
"style": "rule"
} | {
"answer": "2520",
"index": 1904,
"question": "Given the numbers 2, 3, 12, 14, 15, 20, 21, calculate the product that would be the same if these numbers were divided into two sets. Express your answer as a single integer.",
"split": "train"
} |
olympiads | [
"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 On a counter, there are 10 weights with mas... | math | {
"ground_truth": "158",
"style": "rule"
} | {
"answer": "158",
"index": 1905,
"question": "On a counter, there are 10 weights with masses \\( n, n+1, \\ldots, n+9 \\). A seller took one of them, after which the total weight of all the remaining weights was 1457. What is the weight of the weight that the seller took?",
"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 For how many integer values of $a$ does the... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 1906,
"question": "For how many integer values of $a$ does the equation $x^2 + ax + 5a = 0$ have integer solutions for $x$?",
"split": "train"
} |
cn_k12 | [
"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 $\\triangle ABC$, the sides opposite to ... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 1907,
"question": "In $\\triangle ABC$, the sides opposite to angles $A$, $B$, and $C$ are denoted as $a$, $b$, and $c$ respectively. Given that $A=60^{\\circ}$ and the area of $\\triangle ABC$ is $\\sqrt{3}$, the minimum value of $\\frac{4b^{2}+4c^{2}-3a^{2}}{b+c}$ is \\_\\_\\_\\_\\_\\_.",
"split": "train"
} |
olympiads | [
"Mathematics -> Discrete Mathematics -> 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 Arrange the positive integers in the follow... | math | {
"ground_truth": "421",
"style": "rule"
} | {
"answer": "421",
"index": 1908,
"question": "Arrange the positive integers in the following number matrix:\n\\begin{tabular}{lllll}\n1 & 2 & 5 & 10 & $\\ldots$ \\\\\n4 & 3 & 6 & 11 & $\\ldots$ \\\\\n9 & 8 & 7 & 12 & $\\ldots$ \\\\\n16 & 15 & 14 & 13 & $\\ldots$ \\\\\n$\\ldots$ & $\\ldots$ & $\\ldots$ & $\\ldots$ & $\\ldots$\n\\end{tabular}\n\nWhat is the number in the 21st row and 21st column?",
"split": "train"
} |
olympiads | [
"Mathematics -> Number Theory -> Greatest Common Divisors (GCD)"
] | 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 Vanya thought of two natural numbers whose ... | math | {
"ground_truth": "60",
"style": "rule"
} | {
"answer": "60",
"index": 1909,
"question": "Vanya thought of two natural numbers whose product is 7200. What is the greatest possible value of the greatest common divisor (GCD) of these numbers?",
"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 $ABC$, the sides opposite angle... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"index": 1910,
"question": "In triangle $ABC$, the sides opposite angles $A$, $B$, and $C$ have lengths $a$, $b$, and $c$ respectively. If $A = \\frac{\\pi}{3}$, $a = \\sqrt{3}$, and $b = 1$, then the value of $c$ is __________.",
"split": "train"
} |
omnimath | [
"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 Let $\\mathcal{P}_{1}, \\mathcal{P}_{2}, \\... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"answer": "12",
"index": 1911,
"question": "Let $\\mathcal{P}_{1}, \\mathcal{P}_{2}, \\mathcal{P}_{3}$ be pairwise distinct parabolas in the plane. Find the maximum possible number of intersections between two or more of the $\\mathcal{P}_{i}$. In other words, find the maximum number of points that can lie on two or more of the parabolas $\\mathcal{P}_{1}, \\mathcal{P}_{2}, \\mathcal{P}_{3}$.",
"split": "train"
} |
cn_k12 | [
"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 A person travels from place A to place B, h... | math | {
"ground_truth": "150",
"style": "rule"
} | {
"answer": "150",
"index": 1912,
"question": "A person travels from place A to place B, half of the distance by bicycle and the other half on foot. On the return trip, one-third of the time is spent bicycling and two-thirds walking. It is known that the speeds of bicycling and walking are 15 kilometers per hour and 5 kilometers per hour, respectively, and the time taken to go is 2 hours less than the time taken to return. What is the distance between places A and B in kilometers?",
"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 Points $A, B, C, D, X$ are located on a pla... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"answer": "3",
"index": 1913,
"question": "Points $A, B, C, D, X$ are located on a plane. Some segment lengths are known: $AC = 2$, $AX = 5$, $AD = 11$, $CD = 9$, $CB = 10$, $DB = 1$, $XB = 7$. Find the length of segment $CX$.",
"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 bathtub fills in 17 minutes from the hot ... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"answer": "12",
"index": 1914,
"question": "A bathtub fills in 17 minutes from the hot tap and in 11 minutes from the cold tap. After how many minutes should the cold tap be opened after the hot tap in order for the bathtub to have 1/3 more hot water than cold water by the time it is filled?",
"split": "train"
} |
cn_k12 | [
"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 In the plane rectangular coordinate system ... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"answer": "1",
"index": 1915,
"question": "In the plane rectangular coordinate system $xOy$, if the line $y=\\sqrt{3}x$ intersects with the hyperbola $y=\\frac{k}{x}$, then the real number $k$ can be _____. (Just write down one suitable real number)",
"split": "train"
} |
olympiads | [
"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 A computer can apply three operations to a ... | math | {
"ground_truth": "486",
"style": "rule"
} | {
"answer": "486",
"index": 1916,
"question": "A computer can apply three operations to a number: \"increase by 2,\" \"increase by 3,\" \"multiply by 2.\" The computer starts with the number 1 and is made to go through all possible combinations of 6 operations (each combination is applied to the initial number 1). After how many of these combinations will the computer end up with an even number?",
"split": "train"
} |
big_math | [
"Mathematics -> Algebra -> Intermediate Algebra -> Logarithmic Functions"
] | 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 the expression: $(\\lg 2)^{2}+\\lg... | math | {
"ground_truth": "0",
"style": "rule"
} | {
"answer": "0",
"index": 1917,
"question": "Simplify the expression: $(\\lg 2)^{2}+\\lg 2\\times \\lg 50-\\lg 4$. Express your answer as a single value or expression.",
"split": "train"
} |
olympiads | [
"Mathematics -> Applied Mathematics -> Statistics -> 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 Sixty students went on a trip to the zoo. U... | math | {
"ground_truth": "37",
"style": "rule"
} | {
"answer": "37",
"index": 1918,
"question": "Sixty students went on a trip to the zoo. Upon returning to school, it turned out that 55 of them forgot gloves at the zoo, 52 forgot scarves, and 50 managed to forget hats. Find the smallest number of the most scatterbrained students - those who lost all three items.",
"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 Divers extracted a certain number of pearls... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"answer": "12",
"index": 1919,
"question": "Divers extracted a certain number of pearls, not exceeding 1000. The distribution of the pearls happens as follows: each diver in turn approaches the heap of pearls and takes either exactly half or exactly one-third of the remaining pearls. After all divers have taken their share, the remainder of the pearls is offered to the sea god. What is the maximum number of divers that could have participated in the pearl extraction?",
"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 Let \\( a_1, a_2, \\cdots, a_k \\) be a fin... | math | {
"ground_truth": "18",
"style": "rule"
} | {
"answer": "18",
"index": 1920,
"question": "Let \\( a_1, a_2, \\cdots, a_k \\) be a finite arithmetic sequence. Given \\( a_4 + a_7 + a_{10} = 17 \\), \\( a_4 + a_5 + a_6 + \\cdots + a_{14} = 77 \\), and \\( a_k = 13 \\), determine the value of \\( k \\). Provide your answer as a whole number.",
"split": "train"
} |
big_math | [
"Mathematics -> Geometry -> Plane Geometry -> Angles"
] | 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 triangle ABC with sides a, b, and c o... | math | {
"ground_truth": "60",
"style": "rule"
} | {
"answer": "60",
"index": 1921,
"question": "Given triangle ABC with sides a, b, and c opposite to angles A, B, and C respectively, if $$\\frac {c}{a+b}+ \\frac {a}{b+c}$$ equals 1, calculate the measure of angle B in degrees, given that B is within the range (0°, 180°). Express your answer in degrees, rounding to the nearest whole number if necessary.",
"split": "train"
} |
aops_forum | [
"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 Consider a $5 \\times 5$ grid of squares.... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"answer": "12",
"index": 1922,
"question": "Consider a $5 \\times 5$ grid of squares. Vladimir colors some of these squares red, such that the centers of any four red squares do $\\textbf{not}$ form an axis-parallel rectangle (i.e. a rectangle whose sides are parallel to those of the squares). What is the maximum number of squares he could have colored red?",
"split": "train"
} |
big_math | [
"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 Using systematic sampling, 16 individuals a... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 1923,
"question": "Using systematic sampling, 16 individuals are selected from a group of 480 for a survey. They are randomly assigned numbers from 1 to 480 and then grouped. The first group is sampled using simple random sampling, and the number drawn is 8. Among the 16 individuals selected, those with numbers in the range [1,160] will take survey A, those in the range [161,320] will take survey B, and the rest will take survey C. Calculate the number of individuals selected to take survey B. Express your answer as a whole number.",
"split": "train"
} |
big_math | [
"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 Rectangle \\(WXYZ\\) is divided into four s... | math | {
"ground_truth": "30",
"style": "rule"
} | {
"answer": "30",
"index": 1924,
"question": "Rectangle \\(WXYZ\\) is divided into four smaller rectangles. The perimeters of three of these smaller rectangles are 11, 16, and 19. The perimeter of the fourth rectangle lies between 11 and 19. Find the perimeter of \\(WXYZ\\). Express your answer as a whole number.",
"split": "train"
} |
olympiads | [
"Mathematics -> Algebra -> Equations and Inequalities -> 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 If \\( x \\) and \\( y \\) are integers tha... | math | {
"ground_truth": "588",
"style": "rule"
} | {
"answer": "588",
"index": 1925,
"question": "If \\( x \\) and \\( y \\) are integers that satisfy the equation \\( y^{2} + 3x^{2}y^{2} = 30x^{2} + 517 \\), find the value of \\( 3x^{2}y^{2} \\).",
"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 Today our cat gave birth to kittens! It is ... | math | {
"ground_truth": "11",
"style": "rule"
} | {
"answer": "11",
"index": 1926,
"question": "Today our cat gave birth to kittens! It is known that the two lightest kittens together weigh 80 g, the four heaviest kittens together weigh 200 g, and the total weight of all the kittens is 500 g. How many kittens did the cat give birth to?",
"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 A safe has five locks, and the keys are clo... | math | {
"ground_truth": "20",
"style": "rule"
} | {
"answer": "20",
"index": 1927,
"question": "A safe has five locks, and the keys are cloned and distributed among eight people such that any five of the eight people can open the safe. What is the least total number of keys required to achieve this? Express your answer as a whole number.",
"split": "train"
} |
cn_k12 | [
"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 $\\triangle ABC$, the sides opposite to ... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"answer": "3",
"index": 1928,
"question": "In $\\triangle ABC$, the sides opposite to angles $A$, $B$, and $C$ are $a$, $b$, and $c$, respectively. If $\\sin A= \\frac {2}{3}$, $\\sin B=2\\cos C$, and $c^{2}-a^{2}=b$, find the value of $b$.",
"split": "train"
} |
big_math | [
"Mathematics -> 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 line passing through the focus of the par... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"answer": "1",
"index": 1929,
"question": "A line passing through the focus of the parabola $y^2=2px$ ($p>0$) at an angle of $\\frac{\\pi}{3}$ intersects the parabola at points A and B. If $|AB|=6$, then calculate the number of focal chords with a length of $\\frac{9}{2}$. Express your answer as a single integer.",
"split": "train"
} |
aops_forum | [
"Mathematics -> Algebra -> Equations and Inequalities"
] | 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 Let $x, y$ be positive real numbers. If \... | math | {
"ground_truth": "4306",
"style": "rule"
} | {
"answer": "4306",
"index": 1930,
"question": "Let $x, y$ be positive real numbers. If \\[129-x^2=195-y^2=xy,\\] then $x = \\frac{m}{n}$ for relatively prime positive integers $m, n$ . Find $100m+n$ .\n\n[i]Proposed by Michael Tang",
"split": "train"
} |
big_math | [
"Mathematics -> Geometry -> Solid Geometry -> 3D Shapes"
] | 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 cylindrical log has a length of 2 zhang a... | math | {
"ground_truth": "26",
"style": "rule"
} | {
"answer": "26",
"index": 1931,
"question": "A cylindrical log has a length of 2 zhang and 4 chi, and a circumference of 5 chi. A kudzu vine starts growing at the base of the cylinder, wraps around the cylinder twice, and ends up even with the top of the log. What is the minimum length of the kudzu vine? Express your answer in chi as a whole number.",
"split": "train"
} |
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 A line passing through the focus of the par... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"answer": "10",
"index": 1932,
"question": "A line passing through the focus of the parabola $y^{2}=2x$ intersects the parabola at points $A$ and $B$. If the distance from the midpoint $M$ of $AB$ to the parabola's axis is $5$, find the length of the line segment $AB$.",
"split": "train"
} |
aops_forum | [
"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 Andrea is three times as old as Jim was whe... | math | {
"ground_truth": "79",
"style": "rule"
} | {
"answer": "79",
"index": 1933,
"question": "Andrea is three times as old as Jim was when Jim was twice as old as he was when the sum of their ages was $47$ . If Andrea is $29$ years older than Jim, what is the sum of their ages 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 Sally, Mary, and Tom went to a lemon orchar... | math | {
"ground_truth": "18",
"style": "rule"
} | {
"answer": "18",
"index": 1934,
"question": "Sally, Mary, and Tom went to a lemon orchard with three different lemon trees. On the first tree, there were 15 lemons; on the second tree, there were 20 lemons; and on the third tree, there were 25 lemons. Sally picked 7 lemons from the first tree, Mary picked 9 lemons from the second tree, but only half of what was remaining on the third tree, and Tom picked 12 lemons from the first tree. In addition to that, 4 lemons fell from each tree, and half of those were eaten by animals. Calculate the remaining number of lemons on each tree after Sally, Mary, Tom, and the animals had their share of lemons.",
"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 Jack is reading a 285-page book. On weekday... | math | {
"ground_truth": "16",
"style": "rule"
} | {
"answer": "16",
"index": 1935,
"question": "Jack is reading a 285-page book. On weekdays, he reads 23 pages per day, but on weekends, he reads 35 pages per day. However, he takes a break and skips reading every third weekday and every second weekend day. How many days will it take him to finish reading the book?",
"split": "train"
} |
olympiads | [
"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 In a chess tournament with 300 participants... | math | {
"ground_truth": "200",
"style": "rule"
} | {
"answer": "200",
"index": 1936,
"question": "In a chess tournament with 300 participants, where each pair of participants can play at most one match, and there is no group of three participants who have all played against each other, find the maximum value of $n$ such that each participant can play at most $n$ matches.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Geometry -> Solid Geometry -> 3D Shapes"
] | 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 cube and the planes containing its faces ... | math | {
"ground_truth": "27",
"style": "rule"
} | {
"answer": "27",
"index": 1937,
"question": "A cube and the planes containing its faces divide the space into __________ parts.",
"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 Diana works some hours per day on Monday, W... | math | {
"ground_truth": "30",
"style": "rule"
} | {
"answer": "30",
"index": 1938,
"question": "Diana works some hours per day on Monday, Wednesday, and Friday, and 15 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $1800 per week and $30 per hour. How many hours does she work on Monday, Wednesday, and Friday?",
"split": "train"
} |
cn_k12 | [
"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: $y= \\sqrt{x-2} + \\sqrt{2-x} + 1$, ... | math | {
"ground_truth": "30",
"style": "rule"
} | {
"answer": "30",
"index": 1939,
"question": "Given: $y= \\sqrt{x-2} + \\sqrt{2-x} + 1$, find the value of the expression $(\\sqrt{48y} + \\sqrt{8x})(4\\sqrt{3y} - 2\\sqrt{2x}) - xy$.",
"split": "train"
} |
math | [
"Mathematics -> Algebra -> Complex Numbers"
] | 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 Let $z_1$ and $z_2$ be the complex roots of... | math | {
"ground_truth": "3",
"style": "rule"
} | {
"answer": "3",
"index": 1940,
"question": "Let $z_1$ and $z_2$ be the complex roots of $z^2 + az + b = 0,$ where $a$ and $b$ are complex numbers. In the complex plane, 0, $z_1,$ and $z_2$ form the vertices of an equilateral triangle. Find $\\frac{a^2}{b}.$",
"split": "train"
} |
omnimath | [
"Mathematics -> Discrete Mathematics -> Combinatorics"
] | 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 Somewhere in the universe, $n$ students are... | math | {
"ground_truth": "253",
"style": "rule"
} | {
"answer": "253",
"index": 1941,
"question": "Somewhere in the universe, $n$ students are taking a 10-question math competition. Their collective performance is called laughable if, for some pair of questions, there exist 57 students such that either all of them answered both questions correctly or none of them answered both questions correctly. Compute the smallest $n$ such that the performance is necessarily laughable.",
"split": "train"
} |
orca_math | [
"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 On a test with a total of 'T' questions div... | math | {
"ground_truth": "180",
"style": "rule"
} | {
"answer": "180",
"index": 1942,
"question": "On a test with a total of 'T' questions divided into 3 sections; Section A with 'a' questions worth 1 point each, Section B with 'b' questions worth 2 points each, and Section C with 'c' questions worth 3 points each. You missed 5 times as many questions as your friend within each section. If the percentage of questions you answered correctly in each section is X%, Y%, and Z% respectively, together you missed questions that counted for 216 points. How many did you miss?",
"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 A class selects 4 people from 5 to particip... | math | {
"ground_truth": "24",
"style": "rule"
} | {
"answer": "24",
"index": 1943,
"question": "A class selects 4 people from 5 to participate in a 4x100 meter relay. If the first runner can only be chosen from among three people: A, B, and C, and the last runner can only be chosen from among two people: A and B, then the total number of different arrangements for the relay order is . (Answer in numerals).",
"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 There were 3 candidates in an election and ... | math | {
"ground_truth": "37500",
"style": "rule"
} | {
"answer": "37500",
"index": 1944,
"question": "There were 3 candidates in an election and they received some votes. The winning candidate got 65.21739130434783% of the total votes in that election. If the other two candidates received 5000 and 15000 votes respectively, how many votes did the first candidate receive?",
"split": "train"
} |
omnimath | [
"Mathematics -> Discrete Mathematics -> Combinatorics"
] | 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 Three players play tic-tac-toe together. In... | math | {
"ground_truth": "148",
"style": "rule"
} | {
"answer": "148",
"index": 1945,
"question": "Three players play tic-tac-toe together. In other words, the three players take turns placing an \"A\", \"B\", and \"C\", respectively, in one of the free spots of a $3 \\times 3$ grid, and the first player to have three of their label in a row, column, or diagonal wins. How many possible final boards are there where the player who goes third wins the game? (Rotations and reflections are considered different boards, but the order of placement does not matter.)",
"split": "train"
} |
big_math | [
"Mathematics -> Geometry -> Plane Geometry -> 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 Three squares with the same center and corr... | math | {
"ground_truth": "40",
"style": "rule"
} | {
"answer": "40",
"index": 1946,
"question": "Three squares with the same center and corresponding parallel sides are drawn. The distance between the sides of each successive square is 3 units, and the side length of the largest square is 22 units. Find the perimeter of the smallest square. Express your answer in units as a whole number.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Equations and Inequalities -> 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 integers $a$ and $b$ satisfy $6ab = 9... | math | {
"ground_truth": "15",
"style": "rule"
} | {
"answer": "15",
"index": 1947,
"question": "Given integers $a$ and $b$ satisfy $6ab = 9a - 10b + 303$, then $a + b =$ ?",
"split": "train"
} |
aops_forum | [
"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 Let $ABC$ be an acute angled triangle and... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 1948,
"question": "Let $ABC$ be an acute angled triangle and $CD$ be the altitude through $C$ . If $AB = 8$ and $CD = 6$ , find the distance between the midpoints of $AD$ and $BC$ .",
"split": "train"
} |
aops_forum | [
"Mathematics -> Number Theory -> Prime Numbers",
"Mathematics -> Geometry -> Plane 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 Consider the set $\\mathcal{T}$ of all tr... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "8",
"index": 1949,
"question": "Consider the set $\\mathcal{T}$ of all triangles whose sides are distinct prime numbers which are also in arithmetic progression. Let $\\triangle \\in \\mathcal{T}$ be the triangle with least perimeter. If $a^{\\circ}$ is the largest angle of $\\triangle$ and $L$ is its perimeter, determine the value of $\\frac{a}{L}$ .",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Discrete Mathematics -> Combinatorics"
] | 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 a sequence of numbers: $1$, $-2$, $3$... | math | {
"ground_truth": "-4956",
"style": "rule"
} | {
"answer": "-4956",
"index": 1950,
"question": "Given a sequence of numbers: $1$, $-2$, $3$, $-4$, $5$, $-6$, $7$, $\\ldots$ Arrange these numbers in the following form:<br/>Row $1$: $1$.<br/>Row $2$: $-2$, $3$.<br/>Row $3$: $-4$, $5$, $-6$.<br/>Row $4$: $7$, $-8$, $9$, $-10$.<br/>Row $5$: $11$, $-12$, $13$, $-14$, $15$.<br/>$\\ldots$<br/>Following the above pattern, what is the $6$th number from the left in the $100$th row?",
"split": "train"
} |
orca_math | [
"Mathematics -> Number Theory -> Greatest Common Divisors (GCD)",
"Mathematics -> Number Theory -> Least Common Multiples (LCM)"
] | 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 If x ◊ y denotes the greatest common diviso... | math | {
"ground_truth": "576",
"style": "rule"
} | {
"answer": "576",
"index": 1951,
"question": "If x ◊ y denotes the greatest common divisor of x and y, and x ⊕ y denotes the least common multiple of x and y, then find the value of:\n\n( ( 24 ◊ 36 ) ⊕ ( 54 ◊ 24 ) ) ⊕ ( ( 48 * 60 ) ◊ ( 72 * 48 ) )",
"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 How many four-digit numbers are there that ... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"index": 1952,
"question": "How many four-digit numbers are there that are divisible by 45 and have the middle two digits as 9 and 7?",
"split": "train"
} |
orca_math | [
"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 Lenny bought 75 boxes of pens. Each box con... | math | {
"ground_truth": "403",
"style": "rule"
} | {
"answer": "403",
"index": 1953,
"question": "Lenny bought 75 boxes of pens. Each box contained 15 pens. She gave 30% of the pens to her close friends, 20% of what's left to her classmates, 25% of the remaining amount to her coworkers, and 15% of the residual pens to her neighbors. How many pens were left for Lenny?",
"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 The sequence $\\{a_n\\}$ is a decreasing ar... | math | {
"ground_truth": "77",
"style": "rule"
} | {
"answer": "77",
"index": 1954,
"question": "The sequence $\\{a_n\\}$ is a decreasing arithmetic sequence, and $a_3 + a_9 = 10$, $a_5 \\cdot a_7 = 16$. The maximum value of the sum of the first $n$ terms of the sequence $\\{a_n\\}$, denoted as $S_n$, is ______.",
"split": "train"
} |
olympiads | [
"Mathematics -> Algebra -> Sequences and Series -> 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 sequence $(a_{n})$ is defined by the fo... | math | {
"ground_truth": "1002",
"style": "rule"
} | {
"answer": "1002",
"index": 1955,
"question": "The sequence $(a_{n})$ is defined by the following relations: $a_{1}=1$, $a_{2}=3$, $a_{n}=a_{n-1}-a_{n-2}+n$ (for $n \\geq 3$). Find $a_{1000}$.",
"split": "train"
} |
big_math | [
"Mathematics -> Geometry -> Plane Geometry -> Triangles"
] | 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 diagram, \\(PQRS\\) is a rectangle. ... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"answer": "7",
"index": 1956,
"question": "In the diagram, \\(PQRS\\) is a rectangle. Point \\(T\\) is outside the rectangle so that \\(\\triangle PTQ\\) is an isosceles right-angled triangle with hypotenuse \\(PQ\\). If \\(PQ=4\\) and \\(QR=3\\), calculate the area of \\(\\triangle PTR\\). Express your answer as a single integer.",
"split": "train"
} |
big_math | [
"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 Determine the number of different values of... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 1957,
"question": "Determine the number of different values of y that occur in the ordered pairs (x, y) that satisfy the equation (x-y)^2 + x^2 = 25, where x and y are integers and x >= 0. 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 ABC is a triangle with \\( AB = 33 \\), \\(... | math | {
"ground_truth": "30",
"style": "rule"
} | {
"answer": "30",
"index": 1958,
"question": "ABC is a triangle with \\( AB = 33 \\), \\( AC = 21 \\), and \\( BC = m \\), an integer. There are points D and E on the sides AB and AC, respectively, such that \\( AD = DE = EC = n \\), an integer. Find \\( m \\).",
"split": "train"
} |
cn_k12 | [
"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 In the expansion of the binomial $\\left(\\... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 1959,
"question": "In the expansion of the binomial $\\left(\\frac{1}{\\sqrt{x}}-x^{2}\\right)^{10}$, the term containing $x^{10}$ is the \\_\\_\\_\\_\\_\\_\\_\\_ term.",
"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 Anya washes 32 hairs down the drain when sh... | math | {
"ground_truth": "97",
"style": "rule"
} | {
"answer": "97",
"index": 1960,
"question": "Anya washes 32 hairs down the drain when she washes her hair and brushes out half that amount when she brushes it. She has to grow back a certain number of hairs to always have a specific number of hairs more than she started with after washing, brushing, and growing it. She needs to grow back 49 hairs. How many more hairs does she want to have than she started with?",
"split": "train"
} |
big_math | [
"Mathematics -> Number Theory -> 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 Determine the integer part of the square ro... | math | {
"ground_truth": "17",
"style": "rule"
} | {
"answer": "17",
"index": 1961,
"question": "Determine the integer part of the square roots of a set of 35 consecutive natural numbers where all these integer part values are identical. Express your answer as a single integer.",
"split": "train"
} |
cn_k12 | [
"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 book has a total of 100 pages, numbered s... | math | {
"ground_truth": "20",
"style": "rule"
} | {
"answer": "20",
"index": 1962,
"question": "A book has a total of 100 pages, numbered sequentially from 1, 2, 3, 4…100. The digit “2” appears in the page numbers a total of \\_\\_\\_\\_\\_\\_ times.",
"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 If the system of linear inequalities in one... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 1963,
"question": "If the system of linear inequalities in one variable $x$ $\\left\\{{\\begin{array}{l}{\\frac{{x+3}}{2}≤4}\\\\{2x-a≥2}\\end{array}}\\right.$ has at least $2$ integer solutions, and the fractional equation in variable $y$ $\\frac{{a-1}}{{y-2}}+\\frac{4}{{2-y}}=2$ has a non-negative integer solution, then the sum of all integer values of $a$ that satisfy the conditions is ______.",
"split": "train"
} |
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 A florist received between 300 and 400 rose... | math | {
"ground_truth": "307",
"style": "rule"
} | {
"answer": "307",
"index": 1964,
"question": "A florist received between 300 and 400 roses for decorating a celebration. When he placed them in vases with 21 roses in each, there were 13 roses left over. When arranging them with 15 roses in each vase, eight roses were missing. How many roses were there in total?",
"split": "train"
} |
big_math | [
"Mathematics -> Geometry -> Plane 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 convex pentagon ABCDE has all sides of ... | math | {
"ground_truth": "150",
"style": "rule"
} | {
"answer": "150",
"index": 1965,
"question": "The convex pentagon ABCDE has all sides of equal length, and angles A and B are both 90 degrees. Calculate the degree measure of angle E. Express your answer in degrees.",
"split": "train"
} |
olympiads | [
"Mathematics -> Discrete Mathematics -> Combinatorics"
] | 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 is a \\(2018 \\times 4\\) grid where ... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"answer": "6",
"index": 1966,
"question": "There is a \\(2018 \\times 4\\) grid where each cell is colored either red or blue, such that in every row, the number of red and blue cells is the same, and in every column, the number of red and blue cells is the same. Let \\(\\mathrm{M}\\) be the number of coloring methods that satisfy these conditions. Find the remainder of \\(\\mathrm{M}\\) when divided by 2018.",
"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 Find the smallest positive integer \\( n \\... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"answer": "7",
"index": 1967,
"question": "Find the smallest positive integer \\( n \\) such that for any positive integer \\( k \\geqslant n \\), in the set \\( M = \\{1, 2, \\cdots, k\\} \\), for any \\( x \\in M \\), there always exists another number \\( y \\in M \\) (with \\( y \\neq x \\)) such that \\( x + y \\) is a perfect square.",
"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 \\\\(\\\\{a_{n}\\\\}\\\\) is an ... | math | {
"ground_truth": "4034",
"style": "rule"
} | {
"answer": "4034",
"index": 1968,
"question": "Given that \\\\(\\\\{a_{n}\\\\}\\\\) is an arithmetic sequence, \\\\(S_{n}\\\\) is the sum of the first n terms of the sequence, and three non-coplanar vectors \\\\(\\\\overset{→}{OA}\\\\), \\\\(\\\\overset{→}{OB}\\\\), \\\\(\\\\overset{→}{OC}\\\\) in a plane satisfy \\\\(\\\\overset{→}{OC} = (a_{17}-3)\\\\overset{→}{OA} + a_{2001}\\\\overset{→}{OB}\\\\), if points A, B, C lie on the same line, what is the value of \\\\(S_{2017}\\\\)? Express your answer as a single integer.",
"split": "train"
} |
cn_k12 | [
"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 warehouse has six batches of goods, with ... | math | {
"ground_truth": "200",
"style": "rule"
} | {
"answer": "200",
"index": 1969,
"question": "A warehouse has six batches of goods, with weights of 150 tons, 160 tons, 180 tons, 190 tons, 200 tons, and 310 tons, respectively. The first shipment takes away two batches of goods, and the second shipment takes away three batches of goods. If the total weight of the goods taken away in the first shipment is half of the total weight of the goods taken away in the second shipment, then the weight of the remaining batch of goods is ____ tons.",
"split": "train"
} |
omnimath | [
"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 For how many triples $(x, y, z)$ of integer... | math | {
"ground_truth": "4061",
"style": "rule"
} | {
"answer": "4061",
"index": 1970,
"question": "For how many triples $(x, y, z)$ of integers between -10 and 10 inclusive do there exist reals $a, b, c$ that satisfy $$\\begin{gathered} a b=x \\\\ a c=y \\\\ b c=z ? \\end{gathered}$$",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Geometry -> Plane Geometry -> Other",
"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 In isosceles triangle $\\triangle ABC$, $CA... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"answer": "12",
"index": 1971,
"question": "In isosceles triangle $\\triangle ABC$, $CA=CB=6$, $\\angle ACB=120^{\\circ}$, and point $M$ satisfies $\\overrightarrow{BM}=2 \\overrightarrow{MA}$. Determine the value of $\\overrightarrow{CM} \\cdot \\overrightarrow{CB}$.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Applied Mathematics -> Probability -> 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 $A_n^3=6C_n^4$, then the value of $n$ is... | math | {
"ground_truth": "7",
"style": "rule"
} | {
"answer": "7",
"index": 1972,
"question": "If $A_n^3=6C_n^4$, then the value of $n$ 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 Jamie is in a walking group with 4 other la... | math | {
"ground_truth": "484",
"style": "rule"
} | {
"answer": "484",
"index": 1973,
"question": "Jamie is in a walking group with 4 other ladies: Laura, Melissa, Katie, and Sue. They all walk 3 miles together 6 days a week. \n\nApart from this, Jamie walks an additional 2 miles per day for 6 days;\nSue walks half the distance Jamie walks for 6 days;\nLaura walks 1 mile every two days for 6 days;\nMelissa walks 2 miles every three days for 6 days;\nKatie walks 1 mile every day.\n\nCalculate the total miles walked by all the ladies in the group during a month that has 30 days.",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Applied Mathematics -> Statistics -> 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 Arrange volunteers A, B, C, D, E, and F to ... | math | {
"ground_truth": "42",
"style": "rule"
} | {
"answer": "42",
"index": 1974,
"question": "Arrange volunteers A, B, C, D, E, and F to take care of three elderly people, referred to as 甲, 乙, and 丙, with two volunteers per elder. Due to the distance between the volunteers' and elders' residences, volunteer A cannot take care of elder 甲, and volunteer B cannot take care of elder 乙. There are a total of _______ different arrangements.",
"split": "train"
} |
aops_forum | [
"Mathematics -> Applied Mathematics -> Statistics -> Probability -> 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 At Mallard High School there are three inte... | math | {
"ground_truth": "274",
"style": "rule"
} | {
"answer": "274",
"index": 1975,
"question": "At Mallard High School there are three intermural sports leagues: football, basketball, and baseball. There are 427 students participating in these sports: 128 play on football teams, 291 play on basketball teams, and 318 play on baseball teams. If exactly 36 students participate in all three of the sports, how many students participate in exactly two of the sports?",
"split": "train"
} |
cn_k12 | [
"Mathematics -> Algebra -> Other",
"Mathematics -> Calculus -> 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 A line passing through the point (4, 0) int... | math | {
"ground_truth": "32",
"style": "rule"
} | {
"answer": "32",
"index": 1976,
"question": "A line passing through the point (4, 0) intersects the parabola $y^2=4x$ at two points. Find the minimum value of the sum of the squares of the y-coordinates of these two points.",
"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 Let $a, b, c$ be non-negative real numbers ... | math | {
"ground_truth": "18",
"style": "rule"
} | {
"answer": "18",
"index": 1977,
"question": "Let $a, b, c$ be non-negative real numbers such that $ab+bc+ca=3$. Suppose that $a^{3}b+b^{3}c+c^{3}a+2abc(a+b+c)=\\frac{9}{2}$. What is the minimum possible value of $ab^{3}+bc^{3}+ca^{3}$?",
"split": "train"
} |
orca_math | [
"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 To what power should the number 6 be raised... | math | {
"ground_truth": "9",
"style": "rule"
} | {
"answer": "9",
"index": 1978,
"question": "To what power should the number 6 be raised to get a result with a tens digit of 9?",
"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 the sequence $\\{a_n\\}$ defined by $... | math | {
"ground_truth": "100",
"style": "rule"
} | {
"answer": "100",
"index": 1979,
"question": "Given the sequence $\\{a_n\\}$ defined by $a_1=1$, and $a_{n+1} = \\frac{2a_n}{a_n+2}$ ($n\\in\\mathbb{N}^*$), find the term number of the value $\\frac{2}{101}$ in this sequence. Express your answer as a whole number.",
"split": "train"
} |
orca_math | [
"Mathematics -> Applied Mathematics -> Probability -> Counting Methods -> 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 telephone company needs to create a set o... | math | {
"ground_truth": "26",
"style": "rule"
} | {
"answer": "26",
"index": 1980,
"question": "A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4, and 5, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?",
"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 There are 5 different books to be distribut... | math | {
"ground_truth": "90",
"style": "rule"
} | {
"answer": "90",
"index": 1981,
"question": "There are 5 different books to be distributed among three people: A, B, and C. Each person should receive at least 1 book and at most 2 books. Calculate the number of different distribution methods. Express your answer as a whole number.",
"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 In the decimal system, a $(n+1)$-digit numb... | math | {
"ground_truth": "1089",
"style": "rule"
} | {
"answer": "1089",
"index": 1982,
"question": "In the decimal system, a $(n+1)$-digit number $A=\\overline{a_{n} a_{n-1} \\ldots a_{1} a_{0}}$ is called the reverse of $A*=\\overline{a_{0} a_{1} \\ldots a_{n}}$. (Thus, the reverse of 759 is 957, and the reverse of 980 is 89.)\n\nFind the four-digit numbers that \"reverse\" when multiplied by 9, meaning $9A = A^*$.",
"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 Let $a_{1}$, $a_{2}$, $a_{3}$, $\\ldots$, $... | math | {
"ground_truth": "25",
"style": "rule"
} | {
"answer": "25",
"index": 1983,
"question": "Let $a_{1}$, $a_{2}$, $a_{3}$, $\\ldots$, $a_{n}$ be a geometric sequence with the first term $3$ and common ratio $3\\sqrt{3}$. Find the smallest positive integer $n$ that satisfies the inequality $\\log _{3}a_{1}-\\log _{3}a_{2}+\\log _{3}a_{3}-\\log _{3}a_{4}+\\ldots +(-1)^{n+1}\\log _{3}a_{n} \\gt 18$.",
"split": "train"
} |
olympiads | [
"Mathematics -> Calculus -> Integral Calculus -> Applications of Integrals"
] | 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 Compute the area of the figure bounded by t... | math | {
"ground_truth": "13",
"style": "rule"
} | {
"answer": "13",
"index": 1984,
"question": "Compute the area of the figure bounded by the parabola \\( y = -x^2 + 6x - 5 \\) and the coordinate axes.",
"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 From 6 students, 4 are to be selected to un... | math | {
"ground_truth": "240",
"style": "rule"
} | {
"answer": "240",
"index": 1985,
"question": "From 6 students, 4 are to be selected to undertake four different tasks labeled A, B, C, and D. If two of the students, named A and B, cannot be assigned to task A, then find the total number of different assignment plans. 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 Pete has to take a walk down to the train s... | math | {
"ground_truth": "30",
"style": "rule"
} | {
"answer": "30",
"index": 1986,
"question": "Pete has to take a walk down to the train station and then board a 1hr 20-minute train to LA. He cannot get to LA later than 0900 hours. If he should leave at 0730 hours, how long is his walk to the train station?",
"split": "train"
} |
big_math | [
"Mathematics -> Geometry -> 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 Find the smallest positive integer n such t... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 1987,
"question": "Find the smallest positive integer n such that the total number of lattice points on and inside a convex n-gon is at least n+1.",
"split": "train"
} |
olympiads | [
"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 a total of 58 slices of bejgli on... | math | {
"ground_truth": "21",
"style": "rule"
} | {
"answer": "21",
"index": 1988,
"question": "There are a total of 58 slices of bejgli on a tray, consisting of walnut and poppy seed bejgli mixed together. Three walnut slices can be chosen in as many ways as two poppy seed slices and one walnut slice. How many poppy seed bejgli are there on the tray?",
"split": "train"
} |
big_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 Given the hyperbola $\\frac{x^{2}}{16} - \\... | math | {
"ground_truth": "17",
"style": "rule"
} | {
"answer": "17",
"index": 1989,
"question": "Given the hyperbola $\\frac{x^{2}}{16} - \\frac{y^{2}}{20} = 1$ with foci $F\\_1$ and $F\\_2$, and point $P$ on the hyperbola, if the distance between point $P$ and focus $F\\_1$ is $|PF\\_1| = 9$, calculate the distance between point $P$ and focus $F\\_2$, $|PF\\_2|$. Express your answer as a single number.",
"split": "train"
} |
olympiads | [
"Mathematics -> Algebra -> Polynomial Operations"
] | 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 Consider the quadratic polynomial \\( P(x) ... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 1990,
"question": "Consider the quadratic polynomial \\( P(x) = a x^2 + b x + c \\) which has distinct positive roots. Vasya wrote four numbers on the board: the roots of \\( P(x) \\) and the roots of the polynomial \\( Q(x) = c x^2 + b x + a \\). What is the smallest integer value that the sum of these four numbers can have?",
"split": "train"
} |
olympiads | [
"Mathematics -> Discrete 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 Divide the first 1414 positive integers int... | math | {
"ground_truth": "1981",
"style": "rule"
} | {
"answer": "1981",
"index": 1991,
"question": "Divide the first 1414 positive integers into groups such that the sum of the numbers in each group is exactly 1981.",
"split": "train"
} |
big_math | [
"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 Find the number of real solutions (a, b, c)... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 1992,
"question": "Find the number of real solutions (a, b, c) to the system of equations:\n\\[\n\\begin{cases}\na + bc = 1 \\\\\nb + ac = 1 \\\\\nc + ab = 1\n\\end{cases}\n\\]\nExpress your answer as a single integer.",
"split": "train"
} |
cn_k12 | [
"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 a parabola $C: y^2 = 3x$ with focus $... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"answer": "12",
"index": 1993,
"question": "Given a parabola $C: y^2 = 3x$ with focus $F$, find the length of segment $AB$ where the line passing through $F$ at a $30^\\circ$ angle intersects the parabola at points $A$ and $B$.",
"split": "train"
} |
math | [
"Mathematics -> Number Theory -> Congruences"
] | 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 Let $m$ be a positive integer, and suppose ... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"answer": "6",
"index": 1994,
"question": "Let $m$ be a positive integer, and suppose that $9$ is its own inverse $\\pmod m$, but $3$ is $\\textbf{not}$ its own inverse $\\pmod m$.\n\nHow many possible values for $m$ are there?",
"split": "train"
} |
olympiads | [
"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 \nFind the limit of the function:\n\n$$\\li... | math | {
"ground_truth": "1",
"style": "rule"
} | {
"answer": "1",
"index": 1995,
"question": "\nFind the limit of the function:\n\n$$\\lim _{x \\rightarrow \\pi} \\frac{\\cos 3 x-\\cos x}{\\operatorname{tg}^{2} 2 x}$$",
"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 increasing sequence of positive integer... | math | {
"ground_truth": "194",
"style": "rule"
} | {
"answer": "194",
"index": 1996,
"question": "The increasing sequence of positive integers \\(a_{1}, a_{2}, a_{3}, \\cdots\\) satisfies the recurrence relation \\(a_{n+2} = a_{n} + a_{n+1}\\) for \\(n \\geq 1\\). Given that \\(a_{7} = 120\\), calculate the value of \\(a_{8}\\). Express your answer as a single integer.",
"split": "train"
} |
orca_math | [
"Mathematics -> Geometry -> Solid Geometry -> 3D Shapes"
] | 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 dance troupe used ribbon to form a tria... | math | {
"ground_truth": "105",
"style": "rule"
} | {
"answer": "105",
"index": 1997,
"question": "The dance troupe used ribbon to form a triangular prism. The base of the triangular prism is an equilateral triangle with side lengths of 10 feet each, and the height of the prism is 15 feet. Calculate the total length of ribbon required to form the entire triangular prism shape without any gaps or overlaps.",
"split": "train"
} |
omnimath | [
"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 Let $\\mathbb{R}$ be the set of real number... | math | {
"ground_truth": "2039191",
"style": "rule"
} | {
"answer": "2039191",
"index": 1998,
"question": "Let $\\mathbb{R}$ be the set of real numbers. Let $f: \\mathbb{R} \\rightarrow \\mathbb{R}$ be a function such that for all real numbers $x$ and $y$, we have $$f\\left(x^{2}\\right)+f\\left(y^{2}\\right)=f(x+y)^{2}-2 x y$$ Let $S=\\sum_{n=-2019}^{2019} f(n)$. Determine the number of possible values of $S$.",
"split": "train"
} |
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 Given the sequence $\\{a\\_n\\}$ that satis... | math | {
"ground_truth": "-1",
"style": "rule"
} | {
"answer": "-1",
"index": 1999,
"question": "Given the sequence $\\{a\\_n\\}$ that satisfies the recursive formula $a_{n+1}=2a_{n}+2^{n}-1 (n\\in\\mathbb{N^*})$, and $\\{\\frac{a\\_n+λ}{2^{n}}\\}$ is an arithmetic sequence, find the value of $λ$.",
"split": "train"
} |
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