Dataset Viewer (First 5GB)
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[{"content":"In a quadrilateral, the sum of the squares of the four side lengths is 3000. Two adjace(...TRUNCATED) | "In a quadrilateral, the sum of the squares of the four side lengths is 3000. Two adjacent sides of (...TRUNCATED) | "In a quadrilateral, the sum of the squares of the four side lengths is 3000. Two adjacent sides of (...TRUNCATED) |
ai2-adapt-dev/openmath-2-math
| "**Given:** \n- A quadrilateral with side lengths \\(a, b, c, d\\) \n- Sum of squares of the sides(...TRUNCATED) | 35,060 | 12,372 | 2,191 | ["Okay, let's see. I have this quadrilateral where the sum of the squares of the four sides is 3000.(...TRUNCATED) | ["Given a quadrilateral with the sum of the squares of the four side lengths equal to 3000, two adja(...TRUNCATED) | ["<think>\nOkay, let's see. I have this quadrilateral where the sum of the squares of the four sides(...TRUNCATED) | ["<think>\nOkay, let's see. I need to find the length of the other diagonal in a quadrilateral where(...TRUNCATED) | "<think>\nOkay, let's see. So, we have a quadrilateral where the sum of the squares of the four side(...TRUNCATED) | [{"from":"human","value":"In a quadrilateral, the sum of the squares of the four side lengths is 300(...TRUNCATED) |
[{"content":"In the Cartesian plane, a point $(x,y)$ is called a \"supercenter\" of a triangle if it(...TRUNCATED) | "In the Cartesian plane, a point $(x,y)$ is called a \"supercenter\" of a triangle if it is the cent(...TRUNCATED) | "In the Cartesian plane, a point $(x,y)$ is called a \"supercenter\" of a triangle if it is the cent(...TRUNCATED) |
ai2-adapt-dev/openmath-2-math
| "**Problem restatement:**\n\nGiven a triangle with vertices at \\( A = (0,0) \\), \\( B = (a,0) \\),(...TRUNCATED) | 28,859 | 17,607 | 1,803 | ["Okay, so I need to find the locus of the supercenters of a triangle with vertices at (0,0), (a,0),(...TRUNCATED) | ["To determine the locus of the supercenters of a triangle with vertices at \\((0,0)\\), \\((a,0)\\)(...TRUNCATED) | ["<think>\nOkay, so I need to find the locus of the supercenters of a triangle with vertices at (0,0(...TRUNCATED) | ["<think>\nOkay, so I need to find the locus of the supercenters of a triangle with vertices at (0,0(...TRUNCATED) | "<think>\nOkay, so I need to find the locus of the supercenters of a triangle with vertices at (0,0)(...TRUNCATED) | [{"from":"human","value":"In the Cartesian plane, a point $(x,y)$ is called a \"supercenter\" of a t(...TRUNCATED) |
[{"content":"Let $\\triangle ABC$ be a triangle with $AB = 6$ and $BC = 8.$ Suppose there exists a p(...TRUNCATED) | "Let $\\triangle ABC$ be a triangle with $AB = 6$ and $BC = 8.$ Suppose there exists a point $P$ on (...TRUNCATED) | "Let $\\triangle ABC$ be a triangle with $AB = 6$ and $BC = 8.$ Suppose there exists a point $P$ on (...TRUNCATED) |
ai2-adapt-dev/openmath-2-math
| "**Given:**\n- Triangle \\( ABC \\) with \\( AB = 6 \\), \\( BC = 8 \\).\n- Point \\( P \\) on \\( A(...TRUNCATED) | 48,865 | 13,076 | 3,054 | ["Okay, so I need to solve this geometry problem. Let me first try to visualize the triangle and the(...TRUNCATED) | ["Given triangle \\( \\triangle ABC \\) with \\( AB = 6 \\) and \\( BC = 8 \\). Points \\( P \\) on (...TRUNCATED) | ["<think>\nOkay, so I need to solve this geometry problem. Let me first try to visualize the triangl(...TRUNCATED) | ["<think>\nOkay, let's try to tackle this geometry problem. Hmm. So we have triangle ABC with AB = 6(...TRUNCATED) | "<think>\nOkay, let's try to tackle this geometry problem. Hmm. So we have triangle ABC with AB = 6 (...TRUNCATED) | [{"from":"human","value":"Let $\\triangle ABC$ be a triangle with $AB = 6$ and $BC = 8.$ Suppose the(...TRUNCATED) |
[{"content":"In a triangle $ABC$, the bisector of angle $A$ intersects the opposite side $BC$ at poi(...TRUNCATED) | "In a triangle $ABC$, the bisector of angle $A$ intersects the opposite side $BC$ at point $D$. The (...TRUNCATED) | "In a triangle $ABC$, the bisector of angle $A$ intersects the opposite side $BC$ at point $D$. The (...TRUNCATED) |
ai2-adapt-dev/openmath-2-math
| "**Given:**\n- Triangle \\( ABC \\) with angle bisector of \\( \\angle A \\) intersecting \\( BC \\)(...TRUNCATED) | 21,131 | 13,673 | 1,320 | ["Alright, let's try to figure out this geometry problem. So, we have triangle ABC, and the angle bi(...TRUNCATED) | ["In triangle \\(ABC\\), the angle bisector of \\(\\angle BAC\\) intersects \\(BC\\) at point \\(D\\(...TRUNCATED) | ["<think>\nAlright, let's try to figure out this geometry problem. So, we have triangle ABC, and the(...TRUNCATED) | ["<think>\nAlright, let's try to figure out this geometry problem. So, we have triangle ABC, and the(...TRUNCATED) | "<think>\nOkay, so I have this geometry problem here. Let me read it again to make sure I get all th(...TRUNCATED) | [{"from":"human","value":"In a triangle $ABC$, the bisector of angle $A$ intersects the opposite sid(...TRUNCATED) |
[{"content":"The sum of the cubes of two consecutive integers is 145. What is the product of these i(...TRUNCATED) |
The sum of the cubes of two consecutive integers is 145. What is the product of these integers?
|
The sum of the cubes of two consecutive integers is 145. What is the product of these integers?
|
ai2-adapt-dev/openmath-2-math
| "Let the two consecutive integers be \\( n \\) and \\( n+1 \\).\n\nTheir cubes are:\n\\[\nn^3 \\quad(...TRUNCATED) | 8,057 | 19,197 | 503 | ["Okay, so I need to find two consecutive integers whose cubes add up to 145, and then find their pr(...TRUNCATED) | ["Let the two consecutive integers be \\( x \\) and \\( x+1 \\). The sum of their cubes is given as (...TRUNCATED) | ["<think>\nOkay, so I need to find two consecutive integers whose cubes add up to 145, and then find(...TRUNCATED) | ["<think>\nOkay, so I need to find two consecutive integers whose cubes add up to 145, and then find(...TRUNCATED) | "<think>\nOkay, let's see. The problem says that the sum of the cubes of two consecutive integers is(...TRUNCATED) | [{"from":"human","value":"The sum of the cubes of two consecutive integers is 145. What is the produ(...TRUNCATED) |
[{"content":"Let $a$, $b$, and $c$ be three (not necessarily distinct) digits. The number $x=0.abcab(...TRUNCATED) | "Let $a$, $b$, and $c$ be three (not necessarily distinct) digits. The number $x=0.abcabc\\overline{(...TRUNCATED) | "Let $a$, $b$, and $c$ be three (not necessarily distinct) digits. The number $x=0.abcabc\\overline{(...TRUNCATED) |
ai2-adapt-dev/openmath-2-math
| "Given:\n- \\(a, b, c\\) are digits.\n- \\(x = 0.abcabc\\overline{abc}\\) means \\(x\\) is the repea(...TRUNCATED) | 17,166 | 15,585 | 1,072 | ["Okay, so I need to find the three-digit number \\(\\overline{abc}\\) such that the number \\(x = 0(...TRUNCATED) | ["Given the number \\( x = 0.\\overline{abc} \\) which satisfies the equation:\n\n\\[\n\\frac{1}{x} (...TRUNCATED) | ["<think>\nOkay, so I need to find the three-digit number \\(\\overline{abc}\\) such that the number(...TRUNCATED) | ["<think>\nOkay, let's see. The problem says that x is equal to 0.abcabcabc... repeating, where a, b(...TRUNCATED) | "<think>\nOkay, so I need to find the three-digit integer \\(\\overline{abc}\\) such that the number(...TRUNCATED) | [{"from":"human","value":"Let $a$, $b$, and $c$ be three (not necessarily distinct) digits. The numb(...TRUNCATED) |
[{"content":"In the expansion of $(x+y)^n$, all coefficients that are multiples of $3$ have been cha(...TRUNCATED) | "In the expansion of $(x+y)^n$, all coefficients that are multiples of $3$ have been changed to thei(...TRUNCATED) | "In the expansion of $(x+y)^n$, all coefficients that are multiples of $3$ have been changed to thei(...TRUNCATED) |
ai2-adapt-dev/openmath-2-math
| "We are given the polynomial expansion of \\((x+y)^n\\), with \\(n=12\\), and a modification where a(...TRUNCATED) | 30,803 | 12,791 | 1,925 | ["Okay, so I need to find the remainder when (x + y)^12 is divided by x² + y², but with a twist: a(...TRUNCATED) | ["To find the remainder of \\((x + y)^{12}\\) divided by \\(x^2 + y^2\\) after replacing all coeffic(...TRUNCATED) | ["<think>\nOkay, so I need to find the remainder when (x + y)^12 is divided by x² + y², but with a(...TRUNCATED) | ["<think>\nOkay, so I need to find the remainder when (x + y)^12 is divided by x² + y², but with a(...TRUNCATED) | "<think>\nOkay, so I need to find the remainder when (x + y)^n is divided by x² + y², where n = 12(...TRUNCATED) | [{"from":"human","value":"In the expansion of $(x+y)^n$, all coefficients that are multiples of $3$ (...TRUNCATED) |
[{"content":"In a right triangle with legs of lengths 40 inches and 42 inches, the hypotenuse is div(...TRUNCATED) | "In a right triangle with legs of lengths 40 inches and 42 inches, the hypotenuse is divided into th(...TRUNCATED) | "In a right triangle with legs of lengths 40 inches and 42 inches, the hypotenuse is divided into th(...TRUNCATED) |
ai2-adapt-dev/openmath-2-math
| "**Problem restatement:** \nWe have a right triangle with legs 40 in and 42 in. The hypotenuse is d(...TRUNCATED) | 45,008 | 15,771 | 2,813 | ["Okay, so I need to find the length of the middle segment of the hypotenuse in a right triangle wit(...TRUNCATED) | ["Given a right triangle with legs of lengths 40 inches and 42 inches, we need to determine the leng(...TRUNCATED) | ["<think>\nOkay, so I need to find the length of the middle segment of the hypotenuse in a right tri(...TRUNCATED) | ["<think>\nOkay, so I need to find the length of the middle segment of the hypotenuse in a right tri(...TRUNCATED) | "<think>\nOkay, so I have this problem about a right triangle with legs 40 inches and 42 inches. The(...TRUNCATED) | [{"from":"human","value":"In a right triangle with legs of lengths 40 inches and 42 inches, the hypo(...TRUNCATED) |
[{"content":"In a cyclic quadrilateral, the four sides are represented by consecutive integers in a (...TRUNCATED) | "In a cyclic quadrilateral, the four sides are represented by consecutive integers in a specific ord(...TRUNCATED) | "In a cyclic quadrilateral, the four sides are represented by consecutive integers in a specific ord(...TRUNCATED) |
ai2-adapt-dev/openmath-2-math
| "**Problem restatement:**\n\nWe have a cyclic quadrilateral with sides \\( a, a+1, a+2, a+3 \\) (con(...TRUNCATED) | 32,798 | 11,292 | 2,049 | ["Okay, so I need to find the smallest possible value of the largest side in a cyclic quadrilateral (...TRUNCATED) | ["To solve the problem, we need to find the smallest possible value of the largest side in a cyclic (...TRUNCATED) | ["<think>\nOkay, so I need to find the smallest possible value of the largest side in a cyclic quadr(...TRUNCATED) | ["<think>\nOkay, so I need to find the smallest possible value of the largest side in a cyclic quadr(...TRUNCATED) | "<think>\nOkay, so I need to find the smallest possible value of the largest side in a cyclic quadri(...TRUNCATED) | [{"from":"human","value":"In a cyclic quadrilateral, the four sides are represented by consecutive i(...TRUNCATED) |
[{"content":"Consider the integer $n$ as \"sweet\" if there is no term in the sequence $\\{ n, n - k(...TRUNCATED) | "Consider the integer $n$ as \"sweet\" if there is no term in the sequence $\\{ n, n - k, (n - k) \\(...TRUNCATED) | "Consider the integer $n$ as \"sweet\" if there is no term in the sequence $\\{ n, n - k, (n - k) \\(...TRUNCATED) |
ai2-adapt-dev/openmath-2-math
| "We have an integer \\( n \\) and a sequence:\n\\[\nn, \\quad n-k, \\quad (n-k) \\cdot 2, \\quad ((n(...TRUNCATED) | 48,733 | 12,801 | 3,045 | ["Okay, let me try to figure out this problem. So, we have an integer n called \"sweet\" if none of (...TRUNCATED) | ["To determine the number of \"sweet\" integers \\( n \\) between 1 and 100, we need to check if the(...TRUNCATED) | ["<think>\nOkay, let me try to figure out this problem. So, we have an integer n called \"sweet\" if(...TRUNCATED) | ["<think>\nOkay, let's try to figure out this problem. So, we need to find how many integers n betwe(...TRUNCATED) | "<think>\nOkay, so I need to figure out how many integers between 1 and 100 are \"sweet.\" A number (...TRUNCATED) | [{"from":"human","value":"Consider the integer $n$ as \"sweet\" if there is no term in the sequence (...TRUNCATED) |
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