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": "10",
"style": "rule"
} | {
"index": 456,
"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{3}{2}",
"style": "rule"
} | {
"index": 102,
"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": "4/9",
"style": "rule"
} | {
"index": 1128,
"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": "130",
"style": "rule"
} | {
"index": 1005,
"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": 916,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "By joining four identical trapezoids, each with equal non-parallel sides and bases measuring 50 cm and 30 cm, we form a square with an area of 2500 cm² that has a square hole in the middle. What is the area, in cm², of each of the four trapezoids?",
"role": "user"
}
] | math | {
"ground_truth": "400",
"style": "rule"
} | {
"index": 571,
"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": "59",
"style": "rule"
} | {
"index": 419,
"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": "0.1",
"style": "rule"
} | {
"index": 2241,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Square $ABCD$ is divided into four rectangles by $EF$ and $GH$ . $EF$ is parallel to $AB$ and $GH$ parallel to $BC$ . $\\angle BAF = 18^\\circ$ . $EF$ and $GH$ meet at point $P$ . The area of rectangle $PFCH$ is twice that of rectangle $AGPE$ . Given that the value of $\\ang... | math | {
"ground_truth": "45",
"style": "rule"
} | {
"index": 356,
"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": "30",
"style": "rule"
} | {
"index": 2429,
"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": "2.8",
"style": "rule"
} | {
"index": 1731,
"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": "1080",
"style": "rule"
} | {
"index": 130,
"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": "0.5",
"style": "rule"
} | {
"index": 122,
"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": "749",
"style": "rule"
} | {
"index": 383,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "A tennis player computes her win ratio by dividing the number of matches she has won by the total number of matches she has played. At the start of a weekend, her win ratio is exactly $.500$. During the weekend, she plays four matches, winning three and losing one. At the end of the weekend, her w... | math | {
"ground_truth": "164",
"style": "rule"
} | {
"index": 897,
"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": "38",
"style": "rule"
} | {
"index": 954,
"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": 2076,
"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": 108,
"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": 2307,
"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": "63.37",
"style": "rule"
} | {
"index": 814,
"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": "3480",
"style": "rule"
} | {
"index": 2240,
"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": "10989",
"style": "rule"
} | {
"index": 1721,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Find all functions $f:\\mathbb{R} \\to \\mathbb{R}$ such that for any two real numbers $x,y$ holds\n$$f(xf(y)+2y)=f(xy)+xf(y)+f(f(y)).$$",
"role": "user"
}
] | math | {
"ground_truth": "f(x) = 2x \\text{ and } f(x) = 0",
"style": "rule"
} | {
"index": 904,
"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": "900",
"style": "rule"
} | {
"index": 1844,
"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": "79",
"style": "rule"
} | {
"index": 2423,
"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": "148",
"style": "rule"
} | {
"index": 1141,
"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{\\pi}{2} - \\frac{1}{2}",
"style": "rule"
} | {
"index": 26,
"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}{65536}",
"style": "rule"
} | {
"index": 653,
"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": 1735,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Among the following 4 propositions, the correct one is: \n(1) If a solid's three views are completely identical, then the solid is a cube; \n(2) If a solid's front view and top view are both rectangles, then the solid is a cuboid; \n(3) If a solid's three views are all rectangles, then the soli... | math | {
"ground_truth": "(3)",
"style": "rule"
} | {
"index": 1396,
"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": "0.333",
"style": "rule"
} | {
"index": 1140,
"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": "185",
"style": "rule"
} | {
"index": 636,
"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": "1720",
"style": "rule"
} | {
"index": 882,
"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": "9:36",
"style": "rule"
} | {
"index": 1381,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Let us consider a set $S = \\{ a_1 < a_2 < \\ldots < a_{2004}\\}$ , satisfying the following properties: $f(a_i) < 2003$ and $f(a_i) = f(a_j) \\quad \\forall i, j$ from $\\{1, 2,\\ldots , 2004\\}$ , where $f(a_i)$ denotes number of elements which are relatively prime with $a_i$ . Find the... | math | {
"ground_truth": "1003",
"style": "rule"
} | {
"index": 418,
"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": 379,
"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": "19754321",
"style": "rule"
} | {
"index": 1559,
"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}{13}",
"style": "rule"
} | {
"index": 396,
"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": "1626",
"style": "rule"
} | {
"index": 1473,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Square $ABCD$ has center $O,\\ AB=900,\\ E$ and $F$ are on $AB$ with $AE<BF$ and $E$ between $A$ and $F, m\\angle EOF =45^\\circ,$ and $EF=400.$ Given that $BF=p+q\\sqrt{r},$ where $p,q,$ and $r$ are positive integers and $r$ is not divisible by the square of any prime, find $p+q+r.$",
"role":... | math | {
"ground_truth": "307",
"style": "rule"
} | {
"index": 1411,
"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": "16",
"style": "rule"
} | {
"index": 1085,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "The crafty rabbit and the foolish fox made an agreement: every time the fox crosses the bridge in front of the rabbit's house, the rabbit would double the fox's money. However, each time the fox crosses the bridge, he has to pay the rabbit a toll of 40 cents. Hearing that his money would double ea... | math | {
"ground_truth": "35",
"style": "rule"
} | {
"index": 177,
"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": "46",
"style": "rule"
} | {
"index": 1888,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Consider $7$ points on a circle. Compute the number of ways there are to draw chords between pairs of points such that two chords never intersect and one point can only belong to one chord. It is acceptable to draw no chords.",
"role": "user"
}
] | math | {
"ground_truth": "127",
"style": "rule"
} | {
"index": 2204,
"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": "3",
"style": "rule"
} | {
"index": 511,
"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": "27",
"style": "rule"
} | {
"index": 1553,
"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": 322,
"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": "2023",
"style": "rule"
} | {
"index": 2270,
"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": "16",
"style": "rule"
} | {
"index": 1203,
"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": "1200 - 200 \\pi",
"style": "rule"
} | {
"index": 1484,
"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": "53",
"style": "rule"
} | {
"index": 2374,
"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{6007}{2}",
"style": "rule"
} | {
"index": 787,
"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}{9}",
"style": "rule"
} | {
"index": 284,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "If $x$ and $y$ are positive integers less than 20 for which $x + y + xy = 99$, what is the value of $x + y$?",
"role": "user"
}
] | math | {
"ground_truth": "18",
"style": "rule"
} | {
"index": 187,
"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}",
"style": "rule"
} | {
"index": 935,
"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": "-17",
"style": "rule"
} | {
"index": 1188,
"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": "25",
"style": "rule"
} | {
"index": 326,
"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": "20",
"style": "rule"
} | {
"index": 955,
"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": "840",
"style": "rule"
} | {
"index": 413,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Moe has a new, larger rectangular lawn measuring 120 feet by 180 feet. He uses a mower with a swath width of 30 inches. However, he overlaps each cut by 6 inches to ensure no grass is missed. Moe walks at a rate of 6000 feet per hour while pushing the mower. What is the closest estimate of the num... | math | {
"ground_truth": "1.8",
"style": "rule"
} | {
"index": 2456,
"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",
"style": "rule"
} | {
"index": 2462,
"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": "376",
"style": "rule"
} | {
"index": 1863,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "The function $f(x)=1+x- \\frac {x^{2}}{2}+ \\frac {x^{3}}{3}$, $g(x)=1-x+ \\frac {x^{2}}{2}- \\frac {x^{3}}{3}$, if the function $F(x)=f(x+3)g(x-4)$, and the zeros of the function $F(x)$ are all within $[a,b]$ $(a < b$, $a$, $b\\in\\mathbb{Z})$, then the minimum value of $b-a$ is \\_\\_\\_\\_\\_\\... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"index": 1497,
"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": "20",
"style": "rule"
} | {
"index": 666,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Sasha records the numbers 1, 2, 3, 4, and 5 in some order, places arithmetic operation signs \"+\", \"-\", \"x\" and parentheses, and looks at the result of the expression obtained. For example, he can get the number 8 using the expression \\((4-3) \\times (2+5) + 1\\). Can he get the number 123?\... | math | {
"ground_truth": "123",
"style": "rule"
} | {
"index": 1519,
"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": "41",
"style": "rule"
} | {
"index": 1458,
"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\\sqrt{3}",
"style": "rule"
} | {
"index": 859,
"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{9\\pi}{2}",
"style": "rule"
} | {
"index": 1095,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Sunshine High School is planning to order a batch of basketballs and jump ropes from an online store. After checking on Tmall, they found that each basketball is priced at $120, and each jump rope is priced at $25. There are two online stores, Store A and Store B, both offering free shipping and t... | math | {
"ground_truth": "5700",
"style": "rule"
} | {
"index": 292,
"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": "100",
"style": "rule"
} | {
"index": 700,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Quadrilateral $ABCD$ satisfies $\\angle ABC = \\angle ACD = 90^{\\circ}, AC=20,$ and $CD=30.$ Diagonals $\\overline{AC}$ and $\\overline{BD}$ intersect at point $E,$ and $AE=5.$ What is the area of quadrilateral $ABCD?$",
"role": "user"
}
] | math | {
"ground_truth": "360",
"style": "rule"
} | {
"index": 2195,
"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": "3 + \\sqrt{2}",
"style": "rule"
} | {
"index": 1004,
"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": "37.5",
"style": "rule"
} | {
"index": 669,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Find the value of \\( \\cos \\frac{\\pi}{11} + \\cos \\frac{3\\pi}{11} + \\cos \\frac{5\\pi}{11} + \\cos \\frac{7\\pi}{11} + \\cos \\frac{9\\pi}{11} \\).",
"role": "user"
}
] | math | {
"ground_truth": "\\frac{1}{2}",
"style": "rule"
} | {
"index": 1900,
"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": "121",
"style": "rule"
} | {
"index": 1557,
"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": "453",
"style": "rule"
} | {
"index": 1107,
"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^{7}",
"style": "rule"
} | {
"index": 2290,
"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": "1641",
"style": "rule"
} | {
"index": 901,
"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": 1331,
"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\\sqrt{5} + 2",
"style": "rule"
} | {
"index": 229,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "A soccer team has $22$ available players. A fixed set of $11$ players starts the game, while the other $11$ are available as substitutes. During the game, the coach may make as many as $3$ substitutions, where any one of the $11$ players in the game is replaced by one of the substitutes. No player... | math | {
"ground_truth": "122",
"style": "rule"
} | {
"index": 940,
"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": "1440",
"style": "rule"
} | {
"index": 131,
"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": "1003",
"style": "rule"
} | {
"index": 1295,
"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": "1204",
"style": "rule"
} | {
"index": 1646,
"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": "k = 2",
"style": "rule"
} | {
"index": 1098,
"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": "22",
"style": "rule"
} | {
"index": 271,
"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": "450",
"style": "rule"
} | {
"index": 865,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "The length of edge PQ of a tetrahedron PQRS measures 51 units, and the lengths of the other edges are 12, 19, 24, 33, and 42 units. Determine the length of edge RS.",
"role": "user"
}
] | math | {
"ground_truth": "24",
"style": "rule"
} | {
"index": 2332,
"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": "66",
"style": "rule"
} | {
"index": 1291,
"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": "105263157894736842",
"style": "rule"
} | {
"index": 871,
"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": "78",
"style": "rule"
} | {
"index": 2051,
"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": "20/17",
"style": "rule"
} | {
"index": 1623,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Given the system of equations\n\\begin{align*}\n4x+2y &= c, \\\\\n6y - 12x &= d,\n\\end{align*}\nwhere \\(d \\neq 0\\), find the value of \\(\\frac{c}{d}\\).",
"role": "user"
}
] | math | {
"ground_truth": "-\\frac{1}{3}",
"style": "rule"
} | {
"index": 1886,
"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": "60",
"style": "rule"
} | {
"index": 585,
"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": "72",
"style": "rule"
} | {
"index": 1086,
"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": "432",
"style": "rule"
} | {
"index": 2487,
"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": "1000",
"style": "rule"
} | {
"index": 1012,
"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": "59",
"style": "rule"
} | {
"index": 2308,
"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": "0.1601",
"style": "rule"
} | {
"index": 2215,
"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": "288",
"style": "rule"
} | {
"index": 1078,
"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.