messages listlengths 2 2 | instruction_seed stringlengths 47 911 | response_seed stringlengths 47 911 | _source stringclasses 1
value | gpt41_mini_response stringlengths 10.4k 40.8k | __original_row_idx int64 263 63k | length int64 10.4k 40.8k | ms_id int64 16 3.94k | qwq_thinking_trajectory stringlengths 12k 96.6k | qwq_attempt stringlengths 534 2.73k | qwq_response stringlengths 13.6k 98.5k | conversations listlengths 2 2 |
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[{"content":"Find the two-digit integer that has the same remainder when divided by 4, 5, and 7.","r(...TRUNCATED) | Find the two-digit integer that has the same remainder when divided by 4, 5, and 7. | Find the two-digit integer that has the same remainder when divided by 4, 5, and 7. | ai2-adapt-dev/openmath-2-math | "We want to find a two-digit integer \\( N \\) such that when \\( N \\) is divided by 4, 5, and 7, i(...TRUNCATED) | 57,492 | 20,496 | 3,593 | "<think>\nAlright, let me tackle this problem. I need to find a two-digit integer that gives the sam(...TRUNCATED) | "\\boxed{??\n\n}\n\n\\boxed{?\n\n}\n\nWait, the standard remainder approach shows no solution exists(...TRUNCATED) | "<think>\nAlright, let me tackle this problem. I need to find a two-digit integer that gives the sam(...TRUNCATED) | [{"from":"human","value":"Find the two-digit integer that has the same remainder when divided by 4, (...TRUNCATED) |
[{"content":"A cone has a base radius of 8 inches and a height of 15 inches. Three points on the con(...TRUNCATED) | "A cone has a base radius of 8 inches and a height of 15 inches. Three points on the cone, located 3(...TRUNCATED) | "A cone has a base radius of 8 inches and a height of 15 inches. Three points on the cone, located 3(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Given:\n- Base radius of the cone, \\( r = 8 \\) inches\n- Height of the cone, \\( h = 15 \\) inche(...TRUNCATED) | 39,502 | 12,080 | 2,468 | "<think>\nOkay, so I have this problem about a cone with a base radius of 8 inches and a height of 1(...TRUNCATED) | "Given a cone with a base radius of 8 inches and a height of 15 inches, we need to find the sum of t(...TRUNCATED) | "<think>\nOkay, so I have this problem about a cone with a base radius of 8 inches and a height of 1(...TRUNCATED) | [{"from":"human","value":"A cone has a base radius of 8 inches and a height of 15 inches. Three poin(...TRUNCATED) |
[{"content":"A library has a shelf of books with different heights. Each book has a height of either(...TRUNCATED) | "A library has a shelf of books with different heights. Each book has a height of either 1 or 2 unit(...TRUNCATED) | "A library has a shelf of books with different heights. Each book has a height of either 1 or 2 unit(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "**Problem restatement:**\n\nWe have a shelf with \\( n \\) books, each book having a height of eith(...TRUNCATED) | 23,810 | 12,115 | 1,488 | "<think>\nOkay, let's see. The problem is about a library shelf with books of height 1 or 2 units ar(...TRUNCATED) | "To determine the probability that a randomly selected book from a shelf with books of heights 1 or (...TRUNCATED) | "<think>\nOkay, let's see. The problem is about a library shelf with books of height 1 or 2 units ar(...TRUNCATED) | [{"from":"human","value":"A library has a shelf of books with different heights. Each book has a hei(...TRUNCATED) |
[{"content":"Each of five people took notes in a different one of five subjects: algebra, biology, c(...TRUNCATED) | "Each of five people took notes in a different one of five subjects: algebra, biology, chemistry, ge(...TRUNCATED) | "Each of five people took notes in a different one of five subjects: algebra, biology, chemistry, ge(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Let's analyze the problem carefully step by step.\n\n---\n\n### Given:\n\n- There are 5 people, eac(...TRUNCATED) | 28,825 | 14,901 | 1,801 | "<think>\nOkay, let's see. We have five people, each took notes in a different subject: algebra, bio(...TRUNCATED) | "Given the problem constraints, we need to determine the subjects taken by the people who shared not(...TRUNCATED) | "<think>\nOkay, let's see. We have five people, each took notes in a different subject: algebra, bio(...TRUNCATED) | [{"from":"human","value":"Each of five people took notes in a different one of five subjects: algebr(...TRUNCATED) |
[{"content":"Let $x$, $y$, and $z$ be three positive real numbers such that $x+y+z=12$, and the harm(...TRUNCATED) | "Let $x$, $y$, and $z$ be three positive real numbers such that $x+y+z=12$, and the harmonic mean of(...TRUNCATED) | "Let $x$, $y$, and $z$ be three positive real numbers such that $x+y+z=12$, and the harmonic mean of(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Given positive real numbers \\( x, y, z \\) such that\n\\[\nx + y + z = 12,\n\\]\nand the harmonic (...TRUNCATED) | 40,634 | 20,507 | 2,539 | "<think>\nAlright, let's try to tackle this problem. So, we need to maximize the product \\( xyz \\)(...TRUNCATED) | "Given three positive real numbers \\(x\\), \\(y\\), and \\(z\\) such that \\(x + y + z = 12\\), and(...TRUNCATED) | "<think>\nAlright, let's try to tackle this problem. So, we need to maximize the product \\( xyz \\)(...TRUNCATED) | [{"from":"human","value":"Let $x$, $y$, and $z$ be three positive real numbers such that $x+y+z=12$,(...TRUNCATED) |
[{"content":"Let $\\mathbf{p}$ be a vector in a 2D space. Let $\\mathbf{q}$ and $\\mathbf{r}$ be vec(...TRUNCATED) | "Let $\\mathbf{p}$ be a vector in a 2D space. Let $\\mathbf{q}$ and $\\mathbf{r}$ be vectors, and le(...TRUNCATED) | "Let $\\mathbf{p}$ be a vector in a 2D space. Let $\\mathbf{q}$ and $\\mathbf{r}$ be vectors, and le(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Given:\n\n- \\(\\mathbf{p} = \\begin{pmatrix} -5 \\\\ 1 \\end{pmatrix}\\)\n- \\(\\mathbf{q} = \\beg(...TRUNCATED) | 20,084 | 20,337 | 1,255 | "<think>\nOkay, let me try to figure out how to solve this problem. So we have vectors p, q, and r i(...TRUNCATED) | "Given vectors \\(\\mathbf{p} = \\begin{pmatrix} -5 \\\\ 1 \\end{pmatrix}\\) and \\(\\mathbf{q} = \\(...TRUNCATED) | "<think>\nOkay, let me try to figure out how to solve this problem. So we have vectors p, q, and r i(...TRUNCATED) | [{"from":"human","value":"Let $\\mathbf{p}$ be a vector in a 2D space. Let $\\mathbf{q}$ and $\\math(...TRUNCATED) |
[{"content":"Let $a \\circ b = a^b - ab$. If $a$ and $b$ are positive integers greater than or equal(...TRUNCATED) | "Let $a \\circ b = a^b - ab$. If $a$ and $b$ are positive integers greater than or equal to 2 and $a(...TRUNCATED) | "Let $a \\circ b = a^b - ab$. If $a$ and $b$ are positive integers greater than or equal to 2 and $a(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Given the operation:\n\\[\na \\circ b = a^b - ab,\n\\]\nwhere \\(a\\) and \\(b\\) are integers with(...TRUNCATED) | 17,847 | 26,604 | 1,115 | "<think>\nOkay, so I need to solve this problem where the operation a∘b is defined as a^b minus ab(...TRUNCATED) | "Given the problem \\(a \\circ b = a^b - ab\\) where \\(a\\) and \\(b\\) are positive integers great(...TRUNCATED) | "<think>\nOkay, so I need to solve this problem where the operation a∘b is defined as a^b minus ab(...TRUNCATED) | [{"from":"human","value":"Let $a \\circ b = a^b - ab$. If $a$ and $b$ are positive integers greater (...TRUNCATED) |
[{"content":"The number $x^y$ is such that both $x$ and $y$ are positive integers less than or equal(...TRUNCATED) | "The number $x^y$ is such that both $x$ and $y$ are positive integers less than or equal to 20. What(...TRUNCATED) | "The number $x^y$ is such that both $x$ and $y$ are positive integers less than or equal to 20. What(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "**Problem restatement:** \nWe have a number \\(x^y\\) with \\(x\\) and \\(y\\) positive integers a(...TRUNCATED) | 5,795 | 16,591 | 362 | "<think>\nAlright, so I need to figure out the greatest number of consecutive positive integers that(...TRUNCATED) | "To determine the greatest number of consecutive positive integers that can divide \\( x^y \\) where(...TRUNCATED) | "<think>\nAlright, so I need to figure out the greatest number of consecutive positive integers that(...TRUNCATED) | [{"from":"human","value":"The number $x^y$ is such that both $x$ and $y$ are positive integers less (...TRUNCATED) |
[{"content":"In a convex polygon, the sum of the interior angles is 900°. If the measure of each in(...TRUNCATED) | "In a convex polygon, the sum of the interior angles is 900°. If the measure of each interior angle(...TRUNCATED) | "In a convex polygon, the sum of the interior angles is 900°. If the measure of each interior angle(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Given:\n- The sum of the interior angles of the polygon is 900°.\n- Each interior angle is 15° mo(...TRUNCATED) | 8,519 | 13,689 | 532 | "<think>\nOkay, let's see here. I have this problem about a convex polygon where the sum of the inte(...TRUNCATED) | "First, we know the sum of the interior angles of a convex polygon with \\( n \\) sides is given by:(...TRUNCATED) | "<think>\nOkay, let's see here. I have this problem about a convex polygon where the sum of the inte(...TRUNCATED) | [{"from":"human","value":"In a convex polygon, the sum of the interior angles is 900°. If the measu(...TRUNCATED) |
[{"content":"Find the smallest positive integer $n$ such that any integer from 1 to 100 can be repre(...TRUNCATED) | "Find the smallest positive integer $n$ such that any integer from 1 to 100 can be represented as th(...TRUNCATED) | "Find the smallest positive integer $n$ such that any integer from 1 to 100 can be represented as th(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "**Problem:** \nFind the smallest positive integer \\( n \\) such that any integer from 1 to 100 ca(...TRUNCATED) | 15,628 | 12,983 | 976 | "<think>\nOkay, let's tackle this problem: Find the smallest positive integer \\( n \\) such that an(...TRUNCATED) | "To find the smallest positive integer \\( n \\) such that any integer from 1 to 100 can be represen(...TRUNCATED) | "<think>\nOkay, let's tackle this problem: Find the smallest positive integer \\( n \\) such that an(...TRUNCATED) | [{"from":"human","value":"Find the smallest positive integer $n$ such that any integer from 1 to 100(...TRUNCATED) |
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