data_source stringclasses 1 value | prompt listlengths 2 2 | ability stringclasses 1 value | reward_model dict | extra_info dict | answer stringclasses 10 values |
|---|---|---|---|---|---|
deepscaler | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If $\\sqrt{5 + x} + \\sqrt{20 - x} = 7$, what is the value of $(5 + x)(20 - x)$?\nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}... | math | {
"ground_truth": "144",
"style": "rule"
} | {
"cluster_id": 6,
"difficulty": 13.28125,
"index": 15177,
"split": "train"
} | 144 |
deepscaler | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Calculate: $\\frac{{\\cos190°(1+\\sqrt{3}\\tan10°)}}{{\\sin290°\\sqrt{1-\\cos40°}}}=\\_\\_\\_\\_\\_\\_$.\nPlease reason step by step, and put your final answer within \\boxed{}."... | math | {
"ground_truth": "2\\sqrt{2}",
"style": "rule"
} | {
"cluster_id": 6,
"difficulty": 63.28125,
"index": 6398,
"split": "train"
} | 2\sqrt{2} |
deepscaler | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If \\( a + x^2 = 2015 \\), \\( b + x^2 = 2016 \\), \\( c + x^2 = 2017 \\), and \\( abc = 24 \\), find the value of \\( \\frac{a}{bc} + \\frac{b}{ac} + \\frac{c}{ab} - \\frac{1}{a... | math | {
"ground_truth": "1/8",
"style": "rule"
} | {
"cluster_id": 6,
"difficulty": 88.28125,
"index": 2062,
"split": "train"
} | 1/8 |
deepscaler | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Let $g(x) = 2x^7 - 3x^3 + 4x - 8.$ If $g(6) = 12,$ find $g(-6).$\nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] | math | {
"ground_truth": "-28",
"style": "rule"
} | {
"cluster_id": 6,
"difficulty": 77.34375,
"index": 4951,
"split": "train"
} | -28 |
deepscaler | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If $3(-2) = \\nabla +2$, then what does $\\nabla$ equal?\nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] | math | {
"ground_truth": "-8",
"style": "rule"
} | {
"cluster_id": 6,
"difficulty": 6.25,
"index": 16346,
"split": "train"
} | -8 |
deepscaler | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If $x + \\frac{1}{x} = \\sqrt{3}$, then find $x^{18}$.\nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] | math | {
"ground_truth": "-1",
"style": "rule"
} | {
"cluster_id": 6,
"difficulty": 58.59375,
"index": 7767,
"split": "train"
} | -1 |
deepscaler | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Compute $16\\left (\\frac{125}{2}+\\frac{25}{4}+\\frac{9}{16}+1\\right)$.\nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] | math | {
"ground_truth": "1125",
"style": "rule"
} | {
"cluster_id": 6,
"difficulty": 2.34375,
"index": 16625,
"split": "train"
} | 1125 |
deepscaler | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "If $x+y=10$ and $xy=12$, what is the value of $x^3-y^3$?\nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] | math | {
"ground_truth": "176\\sqrt{13}",
"style": "rule"
} | {
"cluster_id": 6,
"difficulty": 61.71875,
"index": 6469,
"split": "train"
} | 176\sqrt{13} |
deepscaler | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Calculate $(-1)^{53} + 3^{(2^3 + 5^2 - 4!)}$.\nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": "user"
}
] | math | {
"ground_truth": "19682",
"style": "rule"
} | {
"cluster_id": 6,
"difficulty": 46.09375,
"index": 9816,
"split": "train"
} | 19682 |
deepscaler | [
{
"content": "Please reason step by step, and put your final answer within \\boxed{}.",
"role": "system"
},
{
"content": "Let $a \\star b = \\frac{\\sqrt{a^2+b}}{\\sqrt{a^2 - b}}$. If $y \\star 15 = 5$, find $y$.\nPlease reason step by step, and put your final answer within \\boxed{}.",
"role": ... | math | {
"ground_truth": "\\frac{\\sqrt{65}}{2}",
"style": "rule"
} | {
"cluster_id": 6,
"difficulty": 41.40625,
"index": 9595,
"split": "train"
} | \frac{\sqrt{65}}{2} |
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