data_source stringclasses 1
value | prompt listlengths 1 1 | ability stringclasses 1
value | reward_model dict | extra_info dict |
|---|---|---|---|---|
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "\\frac{1}{2} - \\frac{1}{2} \\ln 2",
"style": "rule"
} | {
"index": 2362,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "We are laying railway tracks that are $15 \\text{ meters }$ long at a temperature of $t = -8^{\\circ} \\text{C}$. What gap should we leave between each rail if the maximum expected temperature is $t = 60^{\\circ} \\text{C}$? The coefficient of expansion for the rail is $\\lambda = 0.000012$.",
... | math | {
"ground_truth": "12.24",
"style": "rule"
} | {
"index": 1162,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "Let $ABC$ be a triangle with area $5$ and $BC = 10.$ Let $E$ and $F$ be the midpoints of sides $AC$ and $AB$ respectively, and let $BE$ and $CF$ intersect at $G.$ Suppose that quadrilateral $AEGF$ can be inscribed in a circle. Determine the value of $AB^2+AC^2.$ *Proposed by... | math | {
"ground_truth": "200",
"style": "rule"
} | {
"index": 2164,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "-1",
"style": "rule"
} | {
"index": 1815,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "403 \\frac {1}{3}",
"style": "rule"
} | {
"index": 463,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "-2",
"style": "rule"
} | {
"index": 1011,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "19",
"style": "rule"
} | {
"index": 1594,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "\\frac{5}{6}",
"style": "rule"
} | {
"index": 564,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "In a small reserve, a biologist counted a total of 300 heads comprising of two-legged birds, four-legged mammals, and six-legged insects. The total number of legs counted was 980. Calculate the number of two-legged birds.",
"role": "user"
}
] | math | {
"ground_truth": "110",
"style": "rule"
} | {
"index": 2203,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "13",
"style": "rule"
} | {
"index": 1797,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "66",
"style": "rule"
} | {
"index": 2184,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "490",
"style": "rule"
} | {
"index": 1160,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Given the function $f\\left( x \\right)={x}^{2}+{\\left( \\ln 3x \\right)}^{2}-2a(x+3\\ln 3x)+10{{a}^{2}}(a\\in \\mathbf{R})$, determine the value of the real number $a$ for which there exists ${{x}_{0}}$ such that $f\\left( {{x}_{0}} \\right)\\leqslant \\dfrac{1}{10}$.",
"role": "user"
}
] | math | {
"ground_truth": "\\frac{1}{30}",
"style": "rule"
} | {
"index": 601,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "\\frac{16\\pi}{15}",
"style": "rule"
} | {
"index": 1446,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "15.38",
"style": "rule"
} | {
"index": 1397,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Let \\( S = \\{1, 2, \\cdots, 2005\\} \\). If in any set of \\( n \\) pairwise coprime numbers in \\( S \\) there is at least one prime number, find the minimum value of \\( n \\).",
"role": "user"
}
] | math | {
"ground_truth": "16",
"style": "rule"
} | {
"index": 1527,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "15",
"style": "rule"
} | {
"index": 2044,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "2021",
"style": "rule"
} | {
"index": 1910,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"index": 507,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "From the diagram below, find the positive difference in the $x$-coordinates when lines $l$ and $m$ reach $y = 15.$ [asy]\nimport cse5; import olympiad;\nsize(120);\nadd(grid(8,8));\ndraw((0,0)--(8,0),linewidth(1.2));\ndraw((0,0)--(0,8),linewidth(1.2));\nlabel(\"$x$\",(8,0),E);\nlabel(\"$y$\",(0,8)... | math | {
"ground_truth": "39.5",
"style": "rule"
} | {
"index": 941,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "\\frac{49}{128}",
"style": "rule"
} | {
"index": 275,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "18\\sqrt{2}",
"style": "rule"
} | {
"index": 692,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "The sphere with radius 1 and center $(0,0,1)$ rests on the $xy$-plane. A light source is at $P = (0,-1,2).$ Then the boundary of the shadow of the sphere can be expressed in the form $y = f(x),$ for some function $f(x).$ Find the function $f(x).$",
"role": "user"
}
] | math | {
"ground_truth": "\\frac{x^2}{4} - 1",
"style": "rule"
} | {
"index": 1611,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"index": 1256,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Five different products, A, B, C, D, and E, are to be arranged in a row on a shelf. Products A and B must be placed together, while products C and D cannot be placed together. How many different arrangements are possible?",
"role": "user"
}
] | math | {
"ground_truth": "36",
"style": "rule"
} | {
"index": 10,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "Find the largest \\( n \\) such that the sum of the fourth powers of any \\( n \\) prime numbers greater than 10 is divisible by \\( n \\).",
"role": "user"
}
] | math | {
"ground_truth": "240",
"style": "rule"
} | {
"index": 531,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "How many different positive three-digit integers can be formed using only the digits in the set $\\{4, 4, 5, 6, 6, 7, 7\\}$, with no digit used more times than it appears in the set?",
"role": "user"
}
] | math | {
"ground_truth": "42",
"style": "rule"
} | {
"index": 9,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "31 \\text{ and } 32",
"style": "rule"
} | {
"index": 1659,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "8820",
"style": "rule"
} | {
"index": 809,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "\\frac{1}{2}",
"style": "rule"
} | {
"index": 799,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "\\frac{1}{3}",
"style": "rule"
} | {
"index": 2422,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "1 \\%",
"style": "rule"
} | {
"index": 1671,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "97654320",
"style": "rule"
} | {
"index": 436,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "2007",
"style": "rule"
} | {
"index": 1896,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Find the largest positive integer $n$ such that the number $(2n)!$ ends with $10$ more zeroes than the number $n!$ .\n\n*Proposed by Andy Xu*",
"role": "user"
}
] | math | {
"ground_truth": "42",
"style": "rule"
} | {
"index": 2306,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "Find the total number of sets of positive integers \\((x, y, z)\\), where \\(x, y\\) and \\(z\\) are positive integers, with \\(x < y < z\\) such that\n$$\nx + y + z = 203.\n$$",
"role": "user"
}
] | math | {
"ground_truth": "3333",
"style": "rule"
} | {
"index": 2309,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "Alice places a coin, heads up, on a table then turns off the light and leaves the room. Bill enters the room with 2 coins and flips them onto the table and leaves. Carl enters the room, in the dark, and removes a coin at random. Alice reenters the room, turns on the light and notices that both coi... | math | {
"ground_truth": "3/5",
"style": "rule"
} | {
"index": 2444,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "\\sqrt{2} - 1",
"style": "rule"
} | {
"index": 722,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "A school has 100 students and 5 teachers. In the first period, each student is taking one class, and each teacher is teaching one class. The enrollments in the classes are 50, 20, 20, 5, and 5. Let be the average value obtained if a teacher is picked at random and the number of students in their ... | math | {
"ground_truth": "-13.5",
"style": "rule"
} | {
"index": 168,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "10.5",
"style": "rule"
} | {
"index": 1960,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "96",
"style": "rule"
} | {
"index": 2098,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "99",
"style": "rule"
} | {
"index": 703,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "24",
"style": "rule"
} | {
"index": 1367,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "-1",
"style": "rule"
} | {
"index": 476,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "33\\frac{1}{3}\\%",
"style": "rule"
} | {
"index": 2468,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "225",
"style": "rule"
} | {
"index": 1778,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"index": 1631,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "62",
"style": "rule"
} | {
"index": 4,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "\\frac{2\\pi}{3}",
"style": "rule"
} | {
"index": 1091,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "60",
"style": "rule"
} | {
"index": 306,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "There are four cards, each with a number on both sides. The first card has 0 and 1, the other three cards have 2 and 3, 4 and 5, and 7 and 8 respectively. If any three cards are selected and arranged in a row, how many different three-digit numbers can be formed?",
"role": "user"
}
] | math | {
"ground_truth": "168",
"style": "rule"
} | {
"index": 1610,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "906",
"style": "rule"
} | {
"index": 1834,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "1170",
"style": "rule"
} | {
"index": 1771,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "In the figure, $PA$ is tangent to semicircle $SAR$, $PB$ is tangent to semicircle $RBT$, and $SRT$ is a straight line. If arc $AS$ is $58^\\circ$ and arc $BT$ is $37^\\circ$, then find $\\angle APB$, in degrees.\n\n[asy]\nimport graph;\n\nunitsize(1.5 cm);\n\npair A, B, P, R, S, T;\npair[] O;\nre... | math | {
"ground_truth": "95^\\circ",
"style": "rule"
} | {
"index": 2295,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "2000",
"style": "rule"
} | {
"index": 1150,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "146",
"style": "rule"
} | {
"index": 334,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Find the value of the expression \\(\\cos ^{4} \\frac{7 \\pi}{24}+\\sin ^{4} \\frac{11 \\pi}{24}+\\sin ^{4} \\frac{17 \\pi}{24}+\\cos ^{4} \\frac{13 \\pi}{24}\\).",
"role": "user"
}
] | math | {
"ground_truth": "\\frac{3}{2}",
"style": "rule"
} | {
"index": 1805,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "103",
"style": "rule"
} | {
"index": 2289,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "\\frac{5\\pi}{6}",
"style": "rule"
} | {
"index": 366,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "-\\frac{458752}{84375}",
"style": "rule"
} | {
"index": 99,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"index": 1499,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "\\frac{89}{9}",
"style": "rule"
} | {
"index": 496,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "11",
"style": "rule"
} | {
"index": 2043,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "At a circular table, there are 5 people seated: Arnaldo, Bernaldo, Cernaldo, Dernaldo, and Ernaldo, each in a chair. Analyzing clockwise, we have:\n\nI. There is 1 empty chair between Arnaldo and Bernaldo;\n\nII. There are 5 chairs between Bernaldo and Cernaldo;\n\nIII. There are 4 chairs between ... | math | {
"ground_truth": "12",
"style": "rule"
} | {
"index": 1940,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "What is the smallest three-digit number in Pascal's triangle?",
"role": "user"
}
] | math | {
"ground_truth": "100",
"style": "rule"
} | {
"index": 333,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "\\frac{1}{8}",
"style": "rule"
} | {
"index": 2370,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "4\\sqrt{3}",
"style": "rule"
} | {
"index": 211,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "In city \"N\", there are 10 horizontal and 12 vertical streets. A pair of horizontal and a pair of vertical streets form the rectangular boundary of the city, while the rest divide it into blocks shaped like squares with a side length of 100 meters. Each block has an address consisting of two inte... | math | {
"ground_truth": "14",
"style": "rule"
} | {
"index": 1592,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "2+2\\sqrt{6}",
"style": "rule"
} | {
"index": 193,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Add the following two numbers: $800,000,000,000 + 299,999,999,999$.\nA) $1,000,000,000,000$\nB) $1,099,999,999,999$\nC) $1,100,000,000,000$\nD) $900,000,000,000$\nE) $2,099,999,999,999$",
"role": "user"
}
] | math | {
"ground_truth": "1,099,999,999,999",
"style": "rule"
} | {
"index": 1323,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "Given vectors $\\overrightarrow{a}, \\overrightarrow{b}$ satisfy $\\overrightarrow{a}=(1, \\sqrt {3}), |\\overrightarrow{b}|=1, |\\overrightarrow{a}+ \\overrightarrow{b}|= \\sqrt {3}$, then the angle between $\\overrightarrow{a}$ and $\\overrightarrow{b}$ is ______.",
"role": "user"
}
] | math | {
"ground_truth": "\\frac{2\\pi}{3}",
"style": "rule"
} | {
"index": 118,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "14",
"style": "rule"
} | {
"index": 713,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "150",
"style": "rule"
} | {
"index": 1572,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "180",
"style": "rule"
} | {
"index": 1730,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "18\\pi - 27\\sqrt{3}",
"style": "rule"
} | {
"index": 1034,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "974",
"style": "rule"
} | {
"index": 1015,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": " $a,b,c$ are positive numbers such that $ a^2 + b^2 + c^2 = 2abc + 1 $ . Find the maximum value of\n\\[ (a-2bc)(b-2ca)(c-2ab) \\]",
"role": "user"
}
] | math | {
"ground_truth": "1/8",
"style": "rule"
} | {
"index": 1490,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "$A$ and $B$ both live such that one lives $3 \\text{ km}$ further from the city than the other. They both arrived in the city at the same time, with $A$ traveling by car and $B$ by truck. They were picked up by the vehicles halfway to their destinations. $A$ walks $1.5$ times faster than $B$, but ... | math | {
"ground_truth": "16.5",
"style": "rule"
} | {
"index": 1421,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "414",
"style": "rule"
} | {
"index": 533,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "14",
"style": "rule"
} | {
"index": 1178,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "\\frac{11\\pi}{3}",
"style": "rule"
} | {
"index": 200,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "On a sphere, there are four points A, B, C, and D satisfying $AB=1$, $BC=\\sqrt{3}$, $AC=2$. If the maximum volume of tetrahedron D-ABC is $\\frac{\\sqrt{3}}{2}$, then the surface area of this sphere is _______.",
"role": "user"
}
] | math | {
"ground_truth": "\\frac{100\\pi}{9}",
"style": "rule"
} | {
"index": 1472,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "51",
"style": "rule"
} | {
"index": 2101,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "600",
"style": "rule"
} | {
"index": 1673,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "356",
"style": "rule"
} | {
"index": 1302,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Given two integers $a$ and $b$, if they are not coprime and neither is a multiple of the other, they are called a \"league\" pair. Let $A$ be an $n$-element subset of the set $M = \\{1, 2, \\cdots, 2014\\}$ such that every pair of numbers in $A$ is a league pair. Determine the maximum value of $n$... | math | {
"ground_truth": "504",
"style": "rule"
} | {
"index": 2153,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "\\frac{1009}{2}",
"style": "rule"
} | {
"index": 2103,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "\\frac{16}{9}",
"style": "rule"
} | {
"index": 2352,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "A cuckoo clock chimes \"cuckoo\" on the hour, with the number of \"cuckoo\" calls equal to the hour indicated by the hour hand (e.g., at 19:00, it chimes 7 times). One morning, Maxim approached the clock when it showed 9:05. He started turning the minute hand with his finger until he moved the clo... | math | {
"ground_truth": "43",
"style": "rule"
} | {
"index": 1588,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "-1",
"style": "rule"
} | {
"index": 615,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "1/8",
"style": "rule"
} | {
"index": 1280,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "40",
"style": "rule"
} | {
"index": 1713,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "19",
"style": "rule"
} | {
"index": 1422,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "50",
"style": "rule"
} | {
"index": 1487,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "3 - 2\\sqrt{2}",
"style": "rule"
} | {
"index": 860,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "During intervals, students played table tennis. Any two students played against each other no more than one game. At the end of the week, it turned out that Petya played half, Kolya played a third, and Vasya played a fifth of all the games played during the week. How many games could have been pla... | math | {
"ground_truth": "30",
"style": "rule"
} | {
"index": 568,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "\\frac{27}{4}",
"style": "rule"
} | {
"index": 1483,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"index": 2465,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "f(n) = n",
"style": "rule"
} | {
"index": 387,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "# GENERATOR (PROBLEM SOLVER)\n\nInstruction: You are an expert problem-solving assistant tasked with analyzing and solving various questions using a combination of your expertise and provided reference materials. Each task will include:\n1. A specific question or problem to solve\n2. A cheatsheet ... | math | {
"ground_truth": "240",
"style": "rule"
} | {
"index": 1332,
"no_hint_prompt": false,
"split": "train"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.