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": "1024\\pi",
"style": "rule"
} | {
"index": 10643,
"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": "10745",
"style": "rule"
} | {
"index": 1828,
"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": "256",
"style": "rule"
} | {
"index": 409,
"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": 12378,
"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": 4545,
"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": "y=-2x+1",
"style": "rule"
} | {
"index": 4047,
"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": "441",
"style": "rule"
} | {
"index": 3689,
"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": "337",
"style": "rule"
} | {
"index": 2295,
"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": "\\dfrac{5}{9}",
"style": "rule"
} | {
"index": 12293,
"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": "141",
"style": "rule"
} | {
"index": 1682,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "In how many ways can $10001$ be written as the sum of two primes?",
"role": "user"
}
] | math | {
"ground_truth": "0",
"style": "rule"
} | {
"index": 11272,
"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": "1728",
"style": "rule"
} | {
"index": 12364,
"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}{5}",
"style": "rule"
} | {
"index": 9058,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Simplify the expression $\\frac{5^5 + 5^3 + 5}{5^4 - 2\\cdot5^2 + 5}$.",
"role": "user"
}
] | math | {
"ground_truth": "\\frac{651}{116}",
"style": "rule"
} | {
"index": 1427,
"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{x(x+2)(x+5)}{(x+1)(x+3)}",
"style": "rule"
} | {
"index": 9820,
"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",
"style": "rule"
} | {
"index": 6988,
"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": 520,
"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": "(-2,3)",
"style": "rule"
} | {
"index": 488,
"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": 1538,
"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": "E",
"style": "rule"
} | {
"index": 3611,
"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": "1010",
"style": "rule"
} | {
"index": 3844,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "On the Cartesian plane in which each unit is one foot, a dog is tied to a post on the point $(4,3)$ by a $10$ foot rope. What is the greatest distance the dog can be from the origin?",
"role": "user"
}
] | math | {
"ground_truth": "15",
"style": "rule"
} | {
"index": 8384,
"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": 10013,
"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": "12001_6",
"style": "rule"
} | {
"index": 434,
"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": 9326,
"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": 3282,
"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",
"style": "rule"
} | {
"index": 11947,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Given circle $C$: $x^{2}+y^{2}+8x+ay-5=0$ passes through the focus of parabola $E$: $x^{2}=4y$. The length of the chord formed by the intersection of the directrix of parabola $E$ and circle $C$ is $\\_\\_\\_\\_\\_\\_$.",
"role": "user"
}
] | math | {
"ground_truth": "4 \\sqrt{6}",
"style": "rule"
} | {
"index": 10818,
"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": "69",
"style": "rule"
} | {
"index": 11697,
"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": 9051,
"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{49}{11}",
"style": "rule"
} | {
"index": 6949,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "What is the slope of the line passing through $(-3,5)$ and $(2,-5)$?",
"role": "user"
}
] | math | {
"ground_truth": "-2",
"style": "rule"
} | {
"index": 3640,
"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": 7442,
"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}{8}",
"style": "rule"
} | {
"index": 9800,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Calculate $5.47 + 2.58 + 1.95$ and write the sum as a decimal.",
"role": "user"
}
] | math | {
"ground_truth": "10.00",
"style": "rule"
} | {
"index": 4597,
"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": "153",
"style": "rule"
} | {
"index": 106,
"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": "2.5",
"style": "rule"
} | {
"index": 12669,
"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}{2}",
"style": "rule"
} | {
"index": 2628,
"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": 11642,
"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}{2}",
"style": "rule"
} | {
"index": 7001,
"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": "56",
"style": "rule"
} | {
"index": 5628,
"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{13}{21}",
"style": "rule"
} | {
"index": 4592,
"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": "144",
"style": "rule"
} | {
"index": 2559,
"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": 3556,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "In $\\triangle ABC$, the sides opposite to angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively. Given that $C= \\dfrac {\\pi}{6}$, $a=1$, $b= \\sqrt {3}$, find the measure of $B$.",
"role": "user"
}
] | math | {
"ground_truth": "\\dfrac {2\\pi}{3}",
"style": "rule"
} | {
"index": 12751,
"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": 5568,
"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": "-2525",
"style": "rule"
} | {
"index": 1677,
"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": 1522,
"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": 6288,
"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{6}",
"style": "rule"
} | {
"index": 1587,
"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": 5940,
"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}{6}",
"style": "rule"
} | {
"index": 5689,
"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": "\\sqrt{241}",
"style": "rule"
} | {
"index": 10043,
"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": "385",
"style": "rule"
} | {
"index": 4370,
"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": 711,
"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": 12179,
"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": 7615,
"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": "173",
"style": "rule"
} | {
"index": 8904,
"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": "187",
"style": "rule"
} | {
"index": 2050,
"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",
"style": "rule"
} | {
"index": 6265,
"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}{3}",
"style": "rule"
} | {
"index": 1294,
"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": "11600",
"style": "rule"
} | {
"index": 9170,
"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}{16}",
"style": "rule"
} | {
"index": 4845,
"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": "217",
"style": "rule"
} | {
"index": 10460,
"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": 10291,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Given vectors $\\overrightarrow {a}$ and $\\overrightarrow {b}$ that satisfy $|\\overrightarrow {a}| = 4$ and the projection of $\\overrightarrow {b}$ on $\\overrightarrow {a}$ is $-2$, find the minimum value of $|\\overrightarrow {a} - 3\\overrightarrow {b}|$.",
"role": "user"
}
] | math | {
"ground_truth": "10",
"style": "rule"
} | {
"index": 5984,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "Three friends have a total of 6 identical pencils, and each one has at least one pencil. In how many ways can this happen?",
"role": "user"
}
] | math | {
"ground_truth": "10",
"style": "rule"
} | {
"index": 9598,
"no_hint_prompt": true,
"split": "train"
} | |
[
{
"content": "Given that the sum of the first $n$ terms of the sequence $\\{a_n\\}$ is $S_n = -a_n - \\left(\\frac{1}{2}\\right)^{n-1} + 2$, and $(1) b_n = 2^n a_n$, find the general term formula for $\\{b_n\\}$. Also, $(2)$ find the maximum term of $\\{a_n\\}$.",
"role": "user"
}
] | math | {
"ground_truth": "\\frac{1}{2}",
"style": "rule"
} | {
"index": 3173,
"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": "9",
"style": "rule"
} | {
"index": 11751,
"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{8}{9}",
"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": "(1,3)",
"style": "rule"
} | {
"index": 750,
"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{2}",
"style": "rule"
} | {
"index": 11014,
"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",
"style": "rule"
} | {
"index": 3765,
"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": 4782,
"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": 1310,
"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": "45",
"style": "rule"
} | {
"index": 3847,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "The arithmetic mean of four numbers is 15. Two of the numbers are 10 and 18 and the other two are equal. What is the product of the two equal numbers?",
"role": "user"
}
] | math | {
"ground_truth": "256",
"style": "rule"
} | {
"index": 1657,
"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": "9",
"style": "rule"
} | {
"index": 6291,
"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": 4594,
"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": "\\left( 2, \\frac{5 \\pi}{3} \\right)",
"style": "rule"
} | {
"index": 7513,
"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": 10579,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Luna writes down all the five-digit numbers that contain each of the digits 1, 2, 3, 4 and 5 exactly once. What is the smallest number in Luna's list that is divisible by 6?",
"role": "user"
}
] | math | {
"ground_truth": "12354",
"style": "rule"
} | {
"index": 6037,
"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": "2664",
"style": "rule"
} | {
"index": 2679,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "When $(3 + 2x + x^{2})(1 + mx + m^{2}x^{2})$ is expanded and fully simplified, the coefficient of $x^{2}$ is equal to 1. What is the sum of all possible values of $m$?",
"role": "user"
}
] | math | {
"ground_truth": "-\\frac{2}{3}",
"style": "rule"
} | {
"index": 6126,
"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": "390",
"style": "rule"
} | {
"index": 5879,
"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",
"style": "rule"
} | {
"index": 3460,
"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": "448",
"style": "rule"
} | {
"index": 11162,
"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}{8}",
"style": "rule"
} | {
"index": 4411,
"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": "137",
"style": "rule"
} | {
"index": 11706,
"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",
"style": "rule"
} | {
"index": 11391,
"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": "120",
"style": "rule"
} | {
"index": 10787,
"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": "160",
"style": "rule"
} | {
"index": 1172,
"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": "100^\\circ",
"style": "rule"
} | {
"index": 10134,
"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}{5}",
"style": "rule"
} | {
"index": 10567,
"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": "\\sqrt{55}",
"style": "rule"
} | {
"index": 2820,
"no_hint_prompt": false,
"split": "train"
} | |
[
{
"content": "Given $sin(\\alpha-\\frac{\\pi}{6})=\\frac{3}{5}$, calculate $cos(\\frac{2\\pi}{3}-\\alpha)$.",
"role": "user"
}
] | math | {
"ground_truth": "\\frac{3}{5}",
"style": "rule"
} | {
"index": 8870,
"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": 12170,
"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": "176",
"style": "rule"
} | {
"index": 4045,
"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}{3}",
"style": "rule"
} | {
"index": 2692,
"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": "30p \\sqrt{p}",
"style": "rule"
} | {
"index": 7661,
"no_hint_prompt": false,
"split": "train"
} |
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