Dataset Viewer (First 5GB)
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[{"content":"Consider the sequence of numbers: 3, 7, $x$+2, 2$x$-1,.... Determine $x$ such that this(...TRUNCATED) | "Consider the sequence of numbers: 3, 7, $x$+2, 2$x$-1,.... Determine $x$ such that this sequence re(...TRUNCATED) | "Consider the sequence of numbers: 3, 7, $x$+2, 2$x$-1,.... Determine $x$ such that this sequence re(...TRUNCATED) |
ai2-adapt-dev/openmath-2-math
| "Given the sequence: \n\\[3, \\quad 7, \\quad x+2, \\quad 2x - 1, \\quad \\ldots\\]\n\nWe want it t(...TRUNCATED) | 17,450 | 12,093 | 551 | ["Okay, let's see. I need to find the value of x that makes the sequence 3, 7, x+2, 2x-1 a geometric(...TRUNCATED) | ["To determine \\( x \\) such that the sequence \\( 3, 7, x+2, 2x-1 \\) represents a geometric progr(...TRUNCATED) | ["<think>\nOkay, let's see. I need to find the value of x that makes the sequence 3, 7, x+2, 2x-1 a (...TRUNCATED) |
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] | "The provided answer is in English, and it does not include any segments in a different language, th(...TRUNCATED) | ["<think>\nOkay, let's see. I need to find the value of x that makes the sequence 3, 7, x+2, 2x-1 a (...TRUNCATED) | "<think>\nOkay, so I need to find the value of x that makes the sequence 3, 7, x+2, 2x-1 a geometric(...TRUNCATED) | [{"from":"human","value":"Consider the sequence of numbers: 3, 7, $x$+2, 2$x$-1,.... Determine $x$ s(...TRUNCATED) |
[{"content":"Let $a$ and $b$ be two positive integers such that $\\text{gcd}(a,b)=1$. Suppose that t(...TRUNCATED) | "Let $a$ and $b$ be two positive integers such that $\\text{gcd}(a,b)=1$. Suppose that there exist i(...TRUNCATED) | "Let $a$ and $b$ be two positive integers such that $\\text{gcd}(a,b)=1$. Suppose that there exist i(...TRUNCATED) |
ai2-adapt-dev/openmath-2-math
| "**Given:**\n- \\(a, b\\) are positive integers with \\(\\gcd(a,b) = 1\\).\n- There exist integers \(...TRUNCATED) | 30,504 | 15,033 | 3,808 | ["Okay, so I need to find the remainder when the expression (ab - b - a + 1)x + (a + b - 1)y is divi(...TRUNCATED) | ["Given two positive integers \\(a\\) and \\(b\\) such that \\(\\gcd(a, b) = 1\\), and integers \\(x(...TRUNCATED) | ["<think>\nOkay, so I need to find the remainder when the expression (ab - b - a + 1)x + (a + b - 1)(...TRUNCATED) |
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] | "The provided answer contains English language elements and mathematical notation, indicating it is (...TRUNCATED) | ["<think>\nOkay, so I need to figure out the remainder when the expression (ab - b - a + 1)x + (a + (...TRUNCATED) | "<think>\nOkay, let's see. I need to find the remainder when the expression (ab - b - a + 1)x + (a +(...TRUNCATED) | [{"from":"human","value":"Let $a$ and $b$ be two positive integers such that $\\text{gcd}(a,b)=1$. S(...TRUNCATED) |
[{"content":"The real numbers $x, y, z,$ and $w$ form a harmonic sequence, and the numbers $y, z, w,(...TRUNCATED) | "The real numbers $x, y, z,$ and $w$ form a harmonic sequence, and the numbers $y, z, w,$ and $t$ fo(...TRUNCATED) | "The real numbers $x, y, z,$ and $w$ form a harmonic sequence, and the numbers $y, z, w,$ and $t$ fo(...TRUNCATED) |
ai2-adapt-dev/openmath-2-math
| "Given:\n\n- \\(x, y, z, w\\) form a harmonic sequence of real numbers.\n- \\(y, z, w, t\\) form an (...TRUNCATED) | 23,246 | 18,161 | 1,865 | ["Alright, let's tackle this problem step by step. So, we have real numbers x, y, z, w forming a har(...TRUNCATED) | ["Given the real numbers \\(x, y, z, w\\) forming a harmonic sequence and \\(y, z, w, t\\) forming a(...TRUNCATED) | ["<think>\nAlright, let's tackle this problem step by step. So, we have real numbers x, y, z, w form(...TRUNCATED) |
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The provided answer contains only one language, which is English.
| ["<think>\nAlright, let's tackle this problem step by step. So, we have real numbers x, y, z, w form(...TRUNCATED) | "<think>\nOkay, let me try to figure out this problem. So, we have four real numbers x, y, z, w form(...TRUNCATED) | [{"from":"human","value":"The real numbers $x, y, z,$ and $w$ form a harmonic sequence, and the numb(...TRUNCATED) |
[{"content":"Given a triangle with sides of lengths $x$, $y$, and $z$ such that $x + y + z = 15$, an(...TRUNCATED) | "Given a triangle with sides of lengths $x$, $y$, and $z$ such that $x + y + z = 15$, and $xy + xz +(...TRUNCATED) | "Given a triangle with sides of lengths $x$, $y$, and $z$ such that $x + y + z = 15$, and $xy + xz +(...TRUNCATED) |
ai2-adapt-dev/openmath-2-math
| "Given a triangle with sides \\( x, y, z \\) such that:\n\\[\nx + y + z = 15\n\\]\nand\n\\[\nxy + yz(...TRUNCATED) | 12,073 | 10,458 | 3,619 | ["Alright, so I have this problem here: a triangle with sides x, y, and z. The perimeter is 15, beca(...TRUNCATED) | ["Given a triangle with sides of lengths \\(x\\), \\(y\\), and \\(z\\) such that \\(x + y + z = 15\\(...TRUNCATED) | ["<think>\nAlright, so I have this problem here: a triangle with sides x, y, and z. The perimeter is(...TRUNCATED) |
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The response is entirely in English, which is one single language.
| ["<think>\nAlright, so I have this problem here: a triangle with sides x, y, and z. The perimeter is(...TRUNCATED) | "<think>\nOkay, so I have this problem here about a triangle with sides x, y, and z. The perimeter i(...TRUNCATED) | [{"from":"human","value":"Given a triangle with sides of lengths $x$, $y$, and $z$ such that $x + y (...TRUNCATED) |
[{"content":"A parking lot has 150 spaces numbered from 1 to 150. Shaffiq is parked in space 100 and(...TRUNCATED) | "A parking lot has 150 spaces numbered from 1 to 150. Shaffiq is parked in space 100 and needs to ge(...TRUNCATED) | "A parking lot has 150 spaces numbered from 1 to 150. Shaffiq is parked in space 100 and needs to ge(...TRUNCATED) |
ai2-adapt-dev/openmath-2-math
| "Let's carefully analyze the problem step-by-step.\n\n---\n\n### Problem Restatement:\n- There is a (...TRUNCATED) | 30,782 | 10,635 | 3,883 | ["Okay, so here's this problem about Shaffiq trying to get from parking space 100 to space 1. The pa(...TRUNCATED) | ["Shaffiq needs to move from space 100 to space 1, but each day a car is randomly parked in an unocc(...TRUNCATED) | ["<think>\nOkay, so here's this problem about Shaffiq trying to get from parking space 100 to space (...TRUNCATED) |
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The provided answer is solely written in English, as all the text is produced in that language.
| ["<think>\nAlright, let me try to figure out this parking lot problem. So, Shaffiq is in space 100 a(...TRUNCATED) | "<think>\nOkay, let me try to figure out this parking lot problem. So, Shaffiq is parked in space 10(...TRUNCATED) | [{"from":"human","value":"A parking lot has 150 spaces numbered from 1 to 150. Shaffiq is parked in (...TRUNCATED) |
[{"content":"Let $\\alpha$ and $\\beta$ be real numbers. Find the minimum value of\n\\[(3 \\cos \\a(...TRUNCATED) | "Let $\\alpha$ and $\\beta$ be real numbers. Find the minimum value of\n\\[(3 \\cos \\alpha + 7 \\s(...TRUNCATED) | "Let $\\alpha$ and $\\beta$ be real numbers. Find the minimum value of\n\\[(3 \\cos \\alpha + 7 \\s(...TRUNCATED) |
ai2-adapt-dev/openmath-2-math
| "We want to minimize the expression\n\\[\n(3 \\cos \\alpha + 7 \\sin \\beta - 12)^2 + (3 \\sin \\alp(...TRUNCATED) | 27,677 | 14,378 | 2,997 | ["Okay, so I need to find the minimum value of this expression: \n\n\\[(3 \\cos \\alpha + 7 \\sin \\(...TRUNCATED) | ["To find the minimum value of the expression \n\\[\n(3 \\cos \\alpha + 7 \\sin \\beta - 12)^2 + (3 (...TRUNCATED) | ["<think>\nOkay, so I need to find the minimum value of this expression: \n\n\\[(3 \\cos \\alpha + 7(...TRUNCATED) |
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] | "The provided response contains multiple languages: mathematical notation is used alongside English (...TRUNCATED) | ["<think>\nOkay, so I need to find the minimum value of this expression:\n\n\\[(3 \\cos \\alpha + 7 (...TRUNCATED) | "<think>\nAlright, so I need to find the minimum value of this expression:\n\n\\[(3 \\cos \\alpha + (...TRUNCATED) | [{"from":"human","value":"Let $\\alpha$ and $\\beta$ be real numbers. Find the minimum value of\n\\(...TRUNCATED) |
[{"content":"Problem:\nA fair coin is flipped 12 times, and the number of consecutive heads is recor(...TRUNCATED) | "Problem:\nA fair coin is flipped 12 times, and the number of consecutive heads is recorded. What is(...TRUNCATED) | "Problem:\nA fair coin is flipped 12 times, and the number of consecutive heads is recorded. What is(...TRUNCATED) |
ai2-adapt-dev/openmath-2-math
| "**Problem restatement:**\n\nYou flip a fair coin 12 times (sequence length = 12). You want the prob(...TRUNCATED) | 34,546 | 13,139 | 1,777 | ["Okay, so I need to find the probability that when flipping a fair coin 12 times, there are at leas(...TRUNCATED) | ["To find the probability that at least three consecutive heads appear at least twice in a sequence (...TRUNCATED) | ["<think>\nOkay, so I need to find the probability that when flipping a fair coin 12 times, there ar(...TRUNCATED) |
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] | "The provided answer contains a significant portion of text that is in English along with some varia(...TRUNCATED) | ["<think>\nAlright, so I need to find the probability that when flipping a fair coin 12 times, there(...TRUNCATED) | "<think>\nOkay, so I need to find the probability that when flipping a fair coin 12 times, there are(...TRUNCATED) | [{"from":"human","value":"Problem:\nA fair coin is flipped 12 times, and the number of consecutive h(...TRUNCATED) |
[{"content":"Given trapezoid $ABCD$ where $\\overline{AB}$ is parallel to $\\overline{CD}$, $AD=BC=3(...TRUNCATED) | "Given trapezoid $ABCD$ where $\\overline{AB}$ is parallel to $\\overline{CD}$, $AD=BC=3$, and $AB=5(...TRUNCATED) | "Given trapezoid $ABCD$ where $\\overline{AB}$ is parallel to $\\overline{CD}$, $AD=BC=3$, and $AB=5(...TRUNCATED) |
ai2-adapt-dev/openmath-2-math
| "**Given:**\n- Trapezoid \\(ABCD\\) with \\(\\overline{AB} \\parallel \\overline{CD}\\)\n- \\(AD = B(...TRUNCATED) | 8,027 | 11,355 | 2,367 | ["Okay, so I have this trapezoid ABCD where AB is parallel to CD. The sides AD and BC are both 3 uni(...TRUNCATED) | ["Given trapezoid \\(ABCD\\) where \\(\\overline{AB}\\) is parallel to \\(\\overline{CD}\\), \\(AD =(...TRUNCATED) | ["<think>\nOkay, so I have this trapezoid ABCD where AB is parallel to CD. The sides AD and BC are b(...TRUNCATED) |
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The provided answer is in English, which confirms that it contains only one language.
| ["<think>\nOkay, so I have this trapezoid ABCD where AB is parallel to CD. The sides AD and BC are b(...TRUNCATED) | "<think>\nOkay, so I have this trapezoid ABCD where AB is parallel to CD. The sides AD and BC are bo(...TRUNCATED) | [{"from":"human","value":"Given trapezoid $ABCD$ where $\\overline{AB}$ is parallel to $\\overline{C(...TRUNCATED) |
[{"content":"How many positive integers $n$ have the property that $4n^2+7n$ is the greatest common (...TRUNCATED) | "How many positive integers $n$ have the property that $4n^2+7n$ is the greatest common divisor of t(...TRUNCATED) | "How many positive integers $n$ have the property that $4n^2+7n$ is the greatest common divisor of t(...TRUNCATED) |
ai2-adapt-dev/openmath-2-math
| "**Problem restatement:** \nFind the number of positive integers \\( n \\) such that\n\\[\n\\gcd\\b(...TRUNCATED) | 15,341 | 21,720 | 1,116 | ["Okay, so I need to figure out how many positive integers n make 4n² + 7n the greatest common divi(...TRUNCATED) | ["To determine how many positive integers \\( n \\) have the property that \\( 4n^2 + 7n \\) is the (...TRUNCATED) | ["<think>\nOkay, so I need to figure out how many positive integers n make 4n² + 7n the greatest co(...TRUNCATED) |
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The provided answer uses only English as the language of expression.
| ["<think>\nOkay, so I need to find how many positive integers n make 4n² + 7n the greatest common d(...TRUNCATED) | "<think>\nOkay, so I have this problem here: I need to find how many positive integers n make it so (...TRUNCATED) | [{"from":"human","value":"How many positive integers $n$ have the property that $4n^2+7n$ is the gre(...TRUNCATED) |
[{"content":"Given the upper half of a circle with radius 1 and center at (0,0), it is illuminated b(...TRUNCATED) | "Given the upper half of a circle with radius 1 and center at (0,0), it is illuminated by a light so(...TRUNCATED) | "Given the upper half of a circle with radius 1 and center at (0,0), it is illuminated by a light so(...TRUNCATED) |
ai2-adapt-dev/openmath-2-math
| "**Problem:**\n\nWe have the upper half of a circle with radius 1, center at (0,0), i.e. the semicir(...TRUNCATED) | 21,328 | 10,694 | 1,482 | ["Okay, let's see. I have this problem where there's a semicircle (the upper half of a circle with r(...TRUNCATED) | ["Given the upper half of a circle with radius 1 and center at (0,0), illuminated by a light source (...TRUNCATED) | ["<think>\nOkay, let's see. I have this problem where there's a semicircle (the upper half of a circ(...TRUNCATED) |
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] | "The provided answer contains only one language, which is English. Although it is lengthy and somewh(...TRUNCATED) | ["<think>\nOkay, let's see. I have this problem where there's a semicircle (the upper half of a circ(...TRUNCATED) | "<think>\nOkay, so I need to figure out the function g(y) that describes the boundary of the shadow (...TRUNCATED) | [{"from":"human","value":"Given the upper half of a circle with radius 1 and center at (0,0), it is (...TRUNCATED) |
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