source_hf stringclasses 3 values | in_source_id stringlengths 5 38 | fine_source stringclasses 31 values | messages listlengths 3 3 |
|---|---|---|---|
openr1_math | 1d57f4b3-c516-5522-91cc-a60dd91f6f66_0 | olympiads | [
{
"content": "You are a friendly assistant. When given a question, think step by step and reason about it before providing an answer.",
"role": "system"
},
{
"content": "3. (6 points) A construction company was building a tunnel. When $\\frac{1}{3}$ of the tunnel was completed at the original speed,... |
openr1_math | 1d57f4b3-c516-5522-91cc-a60dd91f6f66_1 | olympiads | [
{
"content": "You are a friendly assistant. When given a question, think step by step and reason about it before providing an answer.",
"role": "system"
},
{
"content": "3. (6 points) A construction company was building a tunnel. When $\\frac{1}{3}$ of the tunnel was completed at the original speed,... |
openr1_math | ea24dff6-9e4d-5c55-9ec0-c4d55424997a_0 | cn_contest | [
{
"content": "You are a friendly assistant. When given a question, think step by step and reason about it before providing an answer.",
"role": "system"
},
{
"content": "4. Given the three sides of an obtuse triangle are 3, $4, x$, then the range of values for $x$ is ( ).\n(A) $1<x<7$.\n(B) $5 \\ll ... |
openr1_math | ea24dff6-9e4d-5c55-9ec0-c4d55424997a_1 | cn_contest | [
{
"content": "You are a friendly assistant. When given a question, think step by step and reason about it before providing an answer.",
"role": "system"
},
{
"content": "4. Given the three sides of an obtuse triangle are 3, $4, x$, then the range of values for $x$ is ( ).\n(A) $1<x<7$.\n(B) $5 \\ll ... |
openr1_math | a583d65c-9b4c-56ce-8263-47edbc22baa3_0 | olympiads | [
{
"content": "You are a friendly assistant. When given a question, think step by step and reason about it before providing an answer.",
"role": "system"
},
{
"content": "1. Solve the equation: $\\frac{8 x+13}{3}=\\frac{19-12 x}{2}-\\left(16 x-\\frac{7-4 x}{6}\\right)$. Provide your final response in... |
openr1_math | a583d65c-9b4c-56ce-8263-47edbc22baa3_1 | olympiads | [
{
"content": "You are a friendly assistant. When given a question, think step by step and reason about it before providing an answer.",
"role": "system"
},
{
"content": "1. Solve the equation: $\\frac{8 x+13}{3}=\\frac{19-12 x}{2}-\\left(16 x-\\frac{7-4 x}{6}\\right)$. Provide your final response in... |
openr1_math | 79e837be-2801-5a6a-bc7a-0acee3cdd5fd_0 | olympiads | [
{
"content": "You are a friendly assistant. When given a question, think step by step and reason about it before providing an answer.",
"role": "system"
},
{
"content": "A right-angled triangle has side lengths that are integers. What could be the last digit of the area's measure, if the length of t... |
openr1_math | 79e837be-2801-5a6a-bc7a-0acee3cdd5fd_1 | olympiads | [
{
"content": "You are a friendly assistant. When given a question, think step by step and reason about it before providing an answer.",
"role": "system"
},
{
"content": "A right-angled triangle has side lengths that are integers. What could be the last digit of the area's measure, if the length of t... |
openr1_math | 167ecbbb-4270-534f-afa5-75d01d968ab5_0 | aops_forum | [
{
"content": "You are a friendly assistant. When given a question, think step by step and reason about it before providing an answer.",
"role": "system"
},
{
"content": "Let $a_n\\ (n\\geq 1)$ be the value for which $\\int_x^{2x} e^{-t^n}dt\\ (x\\geq 0)$ is maximal. Find $\\lim_{n\\to\\infty} \\ln a... |
openr1_math | 167ecbbb-4270-534f-afa5-75d01d968ab5_1 | aops_forum | [
{
"content": "You are a friendly assistant. When given a question, think step by step and reason about it before providing an answer.",
"role": "system"
},
{
"content": "Let $a_n\\ (n\\geq 1)$ be the value for which $\\int_x^{2x} e^{-t^n}dt\\ (x\\geq 0)$ is maximal. Find $\\lim_{n\\to\\infty} \\ln a... |
openr1_math | 167ecbbb-4270-534f-afa5-75d01d968ab5_2 | aops_forum | [
{
"content": "You are a friendly assistant. When given a question, think step by step and reason about it before providing an answer.",
"role": "system"
},
{
"content": "Let $a_n\\ (n\\geq 1)$ be the value for which $\\int_x^{2x} e^{-t^n}dt\\ (x\\geq 0)$ is maximal. Find $\\lim_{n\\to\\infty} \\ln a... |
openr1_math | 167ecbbb-4270-534f-afa5-75d01d968ab5_3 | aops_forum | [
{
"content": "You are a friendly assistant. When given a question, think step by step and reason about it before providing an answer.",
"role": "system"
},
{
"content": "Let $a_n\\ (n\\geq 1)$ be the value for which $\\int_x^{2x} e^{-t^n}dt\\ (x\\geq 0)$ is maximal. Find $\\lim_{n\\to\\infty} \\ln a... |
openr1_math | 84f224e8-719b-5b42-a410-27816014bdd3_0 | olympiads | [
{
"content": "You are a friendly assistant. When given a question, think step by step and reason about it before providing an answer.",
"role": "system"
},
{
"content": "11. Given that the internal angles $A, B, C$ of $\\triangle ABC$ have opposite sides $a, b, c$ respectively, and $\\sqrt{3} b \\co... |
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