problem stringlengths 42 1.78k | solution stringlengths 3 9.54k | answer stringlengths 1 97 | problem_type stringclasses 8 values | question_type stringclasses 3 values | source stringclasses 7 values | uuid stringlengths 3 36 | is_reasoning_complete sequencelengths 2 6 | generations sequencelengths 2 6 | correctness_math_verify sequencelengths 2 6 | correctness_llama sequencelengths | finish_reasons sequencelengths 2 6 ⌀ | correctness_count int64 1 4 | messages listlengths 2 2 | longest_correct_generation stringlengths 2.71k 70k | length int64 2.71k 70k | id int64 19 65.1k | aime_problem_id int64 66 86 | similarity_to_aime float64 0.4 0.75 | text stringlengths 3.38k 71k |
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"83. Fill in the following squares with $0, 1, 2, 3, 4, 5, 6, 7, 8, 9$ respectively, so that the sum(...TRUNCATED) | Answer: 1536 | 1536 | Combinatorics | math-word-problem | olympiads | 5b87c250-7b32-5287-8810-f83a8c6a5b3c | [
true,
true
] | ["<think>\nOkay, so I need to figure out how many different addition equations there are where two f(...TRUNCATED) | [
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] | null | null | 2 | [{"content":"83. Fill in the following squares with $0, 1, 2, 3, 4, 5, 6, 7, 8, 9$ respectively, so (...TRUNCATED) | "<think>\nAlright, let me try to work through this problem step by step. So, the problem is about fi(...TRUNCATED) | 48,573 | 19 | 83 | 0.622858 | "<|im_start|>system\n You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|i(...TRUNCATED) |
"30. Find the remainder when the 2018-digit number $\\underbrace{\\overline{55 \\cdots}}_{2018 \\tex(...TRUNCATED) | Reference answer: 3 | 3 | Number Theory | math-word-problem | olympiads | 12b14f92-3f01-5f14-9fb9-abf68de16852 | [
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true
] | ["<think>\nOkay, so I need to find the remainder when this huge 2018-digit number made up entirely o(...TRUNCATED) | [
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true
] | null | null | 2 | [{"content":"30. Find the remainder when the 2018-digit number $\\underbrace{\\overline{55 \\cdots}}(...TRUNCATED) | "<think>\nOkay, so I need to find the remainder when this huge 2018-digit number made up entirely of(...TRUNCATED) | 6,330 | 32 | 79 | 0.530485 | "<|im_start|>system\n You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|i(...TRUNCATED) |
"1. Arrange the consecutive natural numbers from 1 to 99 in sequence to form a large number:\n123456(...TRUNCATED) | $9909$ | 9909 | Number Theory | math-word-problem | olympiads | cc8b9ff4-2e54-5def-ae83-efd1defacfa5 | [
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] | ["<think>\nOkay, let's tackle this problem step by step. So, we need to form the largest possible fo(...TRUNCATED) | [
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] | null | null | 2 | [{"content":"1. Arrange the consecutive natural numbers from 1 to 99 in sequence to form a large num(...TRUNCATED) | "<think>\nOkay, so I need to find the largest four-digit number that can be formed by taking four co(...TRUNCATED) | 42,887 | 75 | 83 | 0.571153 | "<|im_start|>system\n You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|i(...TRUNCATED) |
1. If $\log _{4}(x+2 y)+\log _{4}(x-2 y)=1$, then the minimum value of $|x|-|y|$ is $\qquad$ | "$=\\sqrt{1} \\cdot \\sqrt{3}$.\nFrom the problem, we have\n$$\n\\left\\{\\begin{array}{l}\nx + 2 y (...TRUNCATED) | \sqrt{3} | Algebra | math-word-problem | cn_contest | 7f7bb11b-349f-553b-8368-8caf3c47d0ba | [
true,
true
] | ["<think>\nAlright, so I have this problem here: If log base 4 of (x + 2y) plus log base 4 of (x - 2(...TRUNCATED) | [
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] | null | null | 2 | [{"content":"1. If $\\log _{4}(x+2 y)+\\log _{4}(x-2 y)=1$, then the minimum value of $|x|-|y|$ is $(...TRUNCATED) | "<think>\nOkay, let's see. The problem is: If log base 4 of (x + 2y) plus log base 4 of (x - 2y) equ(...TRUNCATED) | 14,833 | 180 | 84 | 0.582481 | "<|im_start|>system\n You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|i(...TRUNCATED) |
"11. Given $\\frac{x y}{x+y}=2, \\frac{x z}{x+z}=3, \\frac{y z}{y+z}=4$. Find the value of $7 x+5 y-(...TRUNCATED) | "Three, 11. Given\n$$\n\\begin{array}{l}\n\\frac{1}{2}=\\frac{1}{x}+\\frac{1}{y}, \\frac{1}{3}=\\fra(...TRUNCATED) | 0 | Algebra | math-word-problem | cn_contest | 4d1206f0-4c0b-5d97-b42b-60be3164ddcd | [
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true,
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] | ["<think>\nOkay, so I need to solve this problem where I have three equations involving x, y, and z,(...TRUNCATED) | [
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] | null | null | 4 | [{"content":"11. Given $\\frac{x y}{x+y}=2, \\frac{x z}{x+z}=3, \\frac{y z}{y+z}=4$. Find the value (...TRUNCATED) | "<think>\nOkay, let's see. I have this problem here with three equations involving x, y, and z, and (...TRUNCATED) | 7,521 | 186 | 84 | 0.607472 | "<|im_start|>system\n You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|i(...TRUNCATED) |
"The figure below represents a bookshelf with two shelves and five stacks of books, three of them wi(...TRUNCATED) | "Solution\n\nThe one who leaves two piles with 1 book each for the opponent to play wins the game. T(...TRUNCATED) | Alice | Logic and Puzzles | math-word-problem | olympiads | 4afaeab0-b34a-5a33-aeee-4cd41331efdf | [
true,
true
] | ["<think>\nOkay, so there's this bookshelf game between Alice and Luiz. Let me try to figure out who(...TRUNCATED) | [
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true
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"stop",
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] | 2 | [{"content":"The figure below represents a bookshelf with two shelves and five stacks of books, thre(...TRUNCATED) | "<think>\nOkay, so Alice and Luiz are playing this game where they take turns removing one or two bo(...TRUNCATED) | 10,576 | 271 | 68 | 0.550979 | "<|im_start|>system\n You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|i(...TRUNCATED) |
"Let $\\triangle ABC$ be a triangle with $AB = 7$, $AC = 8$, and $BC = 3$. Let $P_1$ and $P_2$ be tw(...TRUNCATED) | "To find the distance between the circumcenters of $\\triangle BP_1P_2$ and $\\triangle CQ_1Q_2$, we(...TRUNCATED) | 3 | Geometry | math-word-problem | aops_forum | ca30b970-fe84-5b67-94f3-b26737b563b2 | [
true,
true
] | ["<think>\nAlright, so I have this geometry problem here. Let me try to parse it step by step. The t(...TRUNCATED) | [
true,
true
] | null | null | 2 | [{"content":"Let $\\triangle ABC$ be a triangle with $AB = 7$, $AC = 8$, and $BC = 3$. Let $P_1$ and(...TRUNCATED) | "<think>\nAlright, so I have this geometry problem here. Let me try to parse it step by step. The tr(...TRUNCATED) | 34,181 | 279 | 78 | 0.607528 | "<|im_start|>system\n You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|i(...TRUNCATED) |
"A rectangular cuboid has the sum of the three edges starting from one vertex as $p$, and the length(...TRUNCATED) | "I. For a cuboid, the lengths of the edges meeting at a vertex are denoted by $a, b, c$ respectively(...TRUNCATED) | p^2-q^2 | Geometry | math-word-problem | olympiads | e571a007-32c1-5f19-a848-d03864e57c24 | [
true,
true
] | ["<think>\nOkay, so I need to find the surface area of a rectangular cuboid when given the sum of th(...TRUNCATED) | [
true,
true
] | null | null | 2 | [{"content":"A rectangular cuboid has the sum of the three edges starting from one vertex as $p$, an(...TRUNCATED) | "<think>\nOkay, so I need to find the surface area of a rectangular cuboid when given the sum of the(...TRUNCATED) | 8,481 | 347 | 66 | 0.550723 | "<|im_start|>system\n You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|i(...TRUNCATED) |
"Example 1. A pile of toothpicks 1000 in number, two people take turns to pick any number from it, b(...TRUNCATED) | "From $1000=125 \\times 8$, we know that one should first dare to take 7 moves, so that the latter c(...TRUNCATED) | 7 | Combinatorics | math-word-problem | cn_contest | e7a7e2d7-fe2a-59ae-85c4-e7d9e9ca1901 | [
true,
true
] | ["<think>\nOkay, let's try to figure out this toothpick problem. So, there are two players taking tu(...TRUNCATED) | [
true,
true
] | null | null | 2 | [{"content":"Example 1. A pile of toothpicks 1000 in number, two people take turns to pick any numbe(...TRUNCATED) | "<think>\nOkay, let's try to figure out this toothpick problem. So, there are 1000 toothpicks, and t(...TRUNCATED) | 8,709 | 436 | 68 | 0.496136 | "<|im_start|>system\n You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|i(...TRUNCATED) |
"22. A rectangular prism with its top and bottom faces as squares is cut into two equal-volume cubes(...TRUNCATED) | Reference answer: 686 | 686 | Geometry | math-word-problem | olympiads | 012a1a16-1d0d-5856-86fc-543104c7e9cf | [
true,
true
] | ["<think>\nOkay, let's try to solve this problem step by step. So, the problem is about a rectangula(...TRUNCATED) | [
true,
true
] | null | null | 2 | [{"content":"22. A rectangular prism with its top and bottom faces as squares is cut into two equal-(...TRUNCATED) | "<think>\nOkay, let's try to solve this problem step by step. So, the problem is about a rectangular(...TRUNCATED) | 12,227 | 471 | 66 | 0.528636 | "<|im_start|>system\n You are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|i(...TRUNCATED) |
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