messages listlengths 2 2 | instruction_seed stringlengths 45 3.07k | response_seed stringlengths 45 3.07k | _source stringclasses 1
value | gpt41_mini_response stringlengths 10.4k 38.1k | __original_row_idx int64 3 54k | length int64 10.4k 38.1k | ms_id int64 2 3.95k | reasoning sequencelengths 16 16 | deepseek_solution sequencelengths 16 16 | final_reasoning_trace sequencelengths 16 16 | correct sequencelengths 16 16 | classifier_reasoning stringlengths 34 636 | _majority_responses sequencelengths 1 16 | verified_final_reasoning_trace stringlengths 5.77k 93.2k | conversations listlengths 2 2 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
[{"content":"A convex pentagon has three consecutive sides of lengths $a$, $b$, and $c$ such that $a(...TRUNCATED) | "A convex pentagon has three consecutive sides of lengths $a$, $b$, and $c$ such that $a < b < c$, a(...TRUNCATED) | "A convex pentagon has three consecutive sides of lengths $a$, $b$, and $c$ such that $a < b < c$, a(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "**Problem restatement:**\n\nWe have a convex pentagon with five sides. Three consecutive sides have(...TRUNCATED) | 3,287 | 10,972 | 254 | ["Okay, so I need to find the smallest possible perimeter of a convex pentagon that has three consec(...TRUNCATED) | ["To find the smallest possible perimeter of a convex pentagon with three consecutive sides \\(a\\),(...TRUNCATED) | ["<think>\nOkay, so I need to find the smallest possible perimeter of a convex pentagon that has thr(...TRUNCATED) | [
true,
false,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
false,
false,
true,
true
] | "The provided answer contains only one language, which is English. All explanations and calculations(...TRUNCATED) | ["<think>\nOkay, so I need to find the smallest possible perimeter of a convex pentagon that has thr(...TRUNCATED) | "<think>\nOkay, so I need to find the smallest possible perimeter of a convex pentagon that has thre(...TRUNCATED) | [{"from":"human","value":"A convex pentagon has three consecutive sides of lengths $a$, $b$, and $c$(...TRUNCATED) |
[{"content":"Natalie has a set of jars of different capacities that can be used to store either blue(...TRUNCATED) | "Natalie has a set of jars of different capacities that can be used to store either blueberries or z(...TRUNCATED) | "Natalie has a set of jars of different capacities that can be used to store either blueberries or z(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Let's summarize the problem:\n\n**Jars Available:**\n- 5 jars of 2 liters each\n- 8 jars of 3 liter(...TRUNCATED) | 43,745 | 10,616 | 3,677 | ["Okay, let's try to figure out how Natalie can store 48 kilograms of zucchinis using the minimum nu(...TRUNCATED) | ["Natalie wants to store 48 kilograms of zucchinis using the minimum number of jars. She has jars of(...TRUNCATED) | ["<think>\nOkay, let's try to figure out how Natalie can store 48 kilograms of zucchinis using the m(...TRUNCATED) | [
false,
true,
true,
true,
true,
true,
true,
true,
false,
false,
false,
true,
false,
true,
false,
true
] | The provided answer is in English. There are no other languages used. | ["<think>\nOkay, let me try to figure out this problem step by step. So, Natalie has different jars:(...TRUNCATED) | "<think>\nOkay, let's try to figure out how Natalie can store 48 kilograms of zucchinis using the mi(...TRUNCATED) | [{"from":"human","value":"Natalie has a set of jars of different capacities that can be used to stor(...TRUNCATED) |
[{"content":"In a triangular flower bed, the first side is made of wood and has a fixed length of 10(...TRUNCATED) | "In a triangular flower bed, the first side is made of wood and has a fixed length of 10 meters. The(...TRUNCATED) | "In a triangular flower bed, the first side is made of wood and has a fixed length of 10 meters. The(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "**Problem recap:**\n\n- Triangle with three sides.\n- First side: made of wood, fixed length \\( a (...TRUNCATED) | 38,977 | 18,462 | 3,333 | ["Okay, so I need to figure out the length of the stone side that will maximize the area of the tria(...TRUNCATED) | ["Given a triangular flower bed with sides made of wood, stone, and brick, we need to find the lengt(...TRUNCATED) | ["<think>\nOkay, so I need to figure out the length of the stone side that will maximize the area of(...TRUNCATED) | [
true,
true,
true,
true,
false,
false,
false,
true,
true,
true,
true,
true,
true,
true,
true,
false
] | "The provided answer is exclusively in English, utilizing mathematical terms and notation without an(...TRUNCATED) | ["<think>\nOkay, so I need to figure out the length of the stone side that will maximize the area of(...TRUNCATED) | "<think>\nOkay, so I need to figure out the length of the stone side that will maximize the area of (...TRUNCATED) | [{"from":"human","value":"In a triangular flower bed, the first side is made of wood and has a fixed(...TRUNCATED) |
[{"content":"The sides of a triangle are in geometric progression, with the shortest side being 3 cm(...TRUNCATED) | "The sides of a triangle are in geometric progression, with the shortest side being 3 cm and the lon(...TRUNCATED) | "The sides of a triangle are in geometric progression, with the shortest side being 3 cm and the lon(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Given:\n- The sides of the triangle are in geometric progression.\n- The shortest side \\( a = 3 \\(...TRUNCATED) | 20,032 | 18,910 | 1,235 | ["Okay, let's see. The problem says that the sides of a triangle are in geometric progression. The s(...TRUNCATED) | ["Given that the sides of a triangle are in geometric progression, with the shortest side being 3 cm(...TRUNCATED) | ["<think>\nOkay, let's see. The problem says that the sides of a triangle are in geometric progressi(...TRUNCATED) | [
false,
false,
true,
true,
true,
true,
true,
true,
true,
false,
true,
true,
true,
false,
false,
true
] | "The provided answer contains multiple languages, specifically English, as it explains the process a(...TRUNCATED) | ["<think>\nOkay, so I have this problem here: a triangle has its sides in geometric progression, the(...TRUNCATED) | "<think>\nOkay, let's try to figure out this problem. The triangle has sides in geometric progressio(...TRUNCATED) | [{"from":"human","value":"The sides of a triangle are in geometric progression, with the shortest si(...TRUNCATED) |
[{"content":"A regular tetrahedron $ABCD$ has edge length $s$. Points $X$ and $Y$ are on the plane $(...TRUNCATED) | "A regular tetrahedron $ABCD$ has edge length $s$. Points $X$ and $Y$ are on the plane $ABD$ and on (...TRUNCATED) | "A regular tetrahedron $ABCD$ has edge length $s$. Points $X$ and $Y$ are on the plane $ABD$ and on (...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "**Given:**\n\n- A regular tetrahedron \\(ABCD\\) with edge length \\(s\\).\n- Points \\(X\\) and \\(...TRUNCATED) | 1,220 | 18,293 | 33 | ["Okay, let's see. I need to find the distance between points X and Y in a regular tetrahedron ABCD (...TRUNCATED) | ["To find the distance between points \\(X\\) and \\(Y\\) in a regular tetrahedron \\(ABCD\\) with e(...TRUNCATED) | ["<think>\nOkay, let's see. I need to find the distance between points X and Y in a regular tetrahed(...TRUNCATED) | [
true,
true,
false,
false,
true,
true,
false,
true,
true,
true,
false,
false,
true,
true,
true,
true
] | The provided answer is entirely in English, with no other language present. | ["<think>\nOkay, let's see. I need to find the distance between points X and Y in a regular tetrahed(...TRUNCATED) | "<think>\nOkay, so I need to find the distance between points X and Y in a regular tetrahedron ABCD (...TRUNCATED) | [{"from":"human","value":"A regular tetrahedron $ABCD$ has edge length $s$. Points $X$ and $Y$ are o(...TRUNCATED) |
[{"content":"Consider a sequence of transformations defined on the vertices of a regular octahedron:(...TRUNCATED) | "Consider a sequence of transformations defined on the vertices of a regular octahedron: in one tran(...TRUNCATED) | "Consider a sequence of transformations defined on the vertices of a regular octahedron: in one tran(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "**Problem restatement:**\nWe have a regular octahedron with 6 vertices. Define a transformation \\((...TRUNCATED) | 5,070 | 19,246 | 1,161 | ["Okay, so I need to figure out how many vertices of a regular octahedron become fixed points after (...TRUNCATED) | ["To determine the total number of vertices that will eventually be fixed under multiple iterations (...TRUNCATED) | ["<think>\nOkay, so I need to figure out how many vertices of a regular octahedron become fixed poin(...TRUNCATED) | [
true,
true,
false,
false,
true,
false,
false,
true,
false,
false,
true,
false,
true,
false,
true,
false
] | The provided answer contains only one language, specifically English. | ["<think>\nOkay, so I need to figure out how many vertices of a regular octahedron become fixed poin(...TRUNCATED) | "<think>\nAlright, let's try to figure out this problem about the regular octahedron and the transfo(...TRUNCATED) | [{"from":"human","value":"Consider a sequence of transformations defined on the vertices of a regula(...TRUNCATED) |
[{"content":"Let $x$ and $y$ be real numbers greater than 1 such that the circles of radii $x$ and $(...TRUNCATED) | "Let $x$ and $y$ be real numbers greater than 1 such that the circles of radii $x$ and $y$ are exter(...TRUNCATED) | "Let $x$ and $y$ be real numbers greater than 1 such that the circles of radii $x$ and $y$ are exter(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "**Problem Summary:**\n\nWe have two circles with radii \\( x \\) and \\( y \\), where \\( x,y > 1 \(...TRUNCATED) | 34,867 | 15,255 | 1,790 | ["Okay, so we have two circles with radii x and y, both greater than 1. They are externally tangent (...TRUNCATED) | ["Given two circles with radii \\( x \\) and \\( y \\) that are externally tangent and circumscribed(...TRUNCATED) | ["<think>\nOkay, so we have two circles with radii x and y, both greater than 1. They are externally(...TRUNCATED) | [
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true
] | The provided answer does not demonstrate any language mixing; it is entirely written in English. | ["<think>\nOkay, so we have two circles with radii x and y, both greater than 1. They are externally(...TRUNCATED) | "<think>\nOkay, so I need to find the value of the expression \\(\\frac{(x+y)^2}{x^2 + y^2 - xy}\\) (...TRUNCATED) | [{"from":"human","value":"Let $x$ and $y$ be real numbers greater than 1 such that the circles of ra(...TRUNCATED) |
[{"content":"In triangle $ABC$, point $M$ is on $\\overline{AB}$ so that $\\angle AMC = 45^\\circ$ a(...TRUNCATED) | "In triangle $ABC$, point $M$ is on $\\overline{AB}$ so that $\\angle AMC = 45^\\circ$ and point $N$(...TRUNCATED) | "In triangle $ABC$, point $M$ is on $\\overline{AB}$ so that $\\angle AMC = 45^\\circ$ and point $N$(...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "**Problem recap:**\nIn triangle \\(ABC\\):\n- \\(M\\) lies on segment \\(\\overline{AB}\\).\n- \\(\(...TRUNCATED) | 39,003 | 14,778 | 3,583 | ["Okay, so I need to find the ratio AP/AC in triangle ABC where M is on AB such that angle AMC is 45(...TRUNCATED) | ["To solve the problem, we need to find the ratio \\(\\frac{AP}{AC}\\) in triangle \\(ABC\\) where p(...TRUNCATED) | ["<think>\nOkay, so I need to find the ratio AP/AC in triangle ABC where M is on AB such that angle (...TRUNCATED) | [
true,
true,
true,
false,
true,
false,
false,
true,
true,
true,
false,
true,
true,
false,
true,
true
] | The response is adequately composed in only one language, specifically English. | ["<think>\nOkay, so I need to find the ratio AP/AC in triangle ABC where M is on AB such that angle (...TRUNCATED) | "<think>\nOkay, let's see. I need to find the ratio AP/AC in triangle ABC where points M and N are p(...TRUNCATED) | [{"from":"human","value":"In triangle $ABC$, point $M$ is on $\\overline{AB}$ so that $\\angle AMC =(...TRUNCATED) |
[{"content":"Let $a = \\pi/2008$. Find the smallest positive integer $n$ such that\\[2[\\cos(a)\\sin(...TRUNCATED) | "Let $a = \\pi/2008$. Find the smallest positive integer $n$ such that\\[2[\\cos(a)\\sin(a) + \\cos((...TRUNCATED) | "Let $a = \\pi/2008$. Find the smallest positive integer $n$ such that\\[2[\\cos(a)\\sin(a) + \\cos((...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Given \\( a = \\frac{\\pi}{2008} \\), we want to find the smallest positive integer \\( n \\) such (...TRUNCATED) | 12,691 | 15,511 | 275 | ["Okay, let's try to solve this problem. So, we need to find the smallest positive integer n such th(...TRUNCATED) | ["Given \\( a = \\frac{\\pi}{2008} \\), we need to find the smallest positive integer \\( n \\) such(...TRUNCATED) | ["<think>\nOkay, let's try to solve this problem. So, we need to find the smallest positive integer (...TRUNCATED) | [
true,
true,
false,
true,
true,
true,
true,
true,
false,
false,
true,
false,
false,
true,
true,
true
] | "The response contains only one language, specifically English, throughout the explanation of the ma(...TRUNCATED) | ["<think>\nOkay, let's try to solve this problem. So, we need to find the smallest positive integer (...TRUNCATED) | "<think>\nOkay, so I need to find the smallest positive integer n such that twice the sum: 2[cos(a)s(...TRUNCATED) | [{"from":"human","value":"Let $a = \\pi/2008$. Find the smallest positive integer $n$ such that\\[2[(...TRUNCATED) |
[{"content":"Let $f(x) = (x-2)^2 + ax$ be a quadratic function with the minimum value of 25 at x = m(...TRUNCATED) | "Let $f(x) = (x-2)^2 + ax$ be a quadratic function with the minimum value of 25 at x = m. Determine (...TRUNCATED) | "Let $f(x) = (x-2)^2 + ax$ be a quadratic function with the minimum value of 25 at x = m. Determine (...TRUNCATED) | ai2-adapt-dev/openmath-2-math | "Given the function:\n\\[\nf(x) = (x-2)^2 + a x\n\\]\n\nWe know:\n- The minimum value of \\( f(x) \\(...TRUNCATED) | 10,247 | 13,128 | 3,015 | ["Okay, let's see. I need to find the value of 'a' for the quadratic function f(x) = (x - 2)^2 + ax.(...TRUNCATED) | ["Given the quadratic function \\( f(x) = (x-2)^2 + ax \\) with a minimum value of 25 at \\( x = m \(...TRUNCATED) | ["<think>\nOkay, let's see. I need to find the value of 'a' for the quadratic function f(x) = (x - 2(...TRUNCATED) | [
false,
false,
true,
true,
true,
true,
false,
true,
true,
false,
true,
true,
true,
false,
true,
false
] | "The provided response consists primarily of English text explaining mathematical concepts, calculat(...TRUNCATED) | ["<think>\nOkay, let's tackle this problem step by step. So, we have a quadratic function f(x) = (x (...TRUNCATED) | "<think>\nOkay, let me try to figure out this problem step by step. So, we have a quadratic function(...TRUNCATED) | [{"from":"human","value":"Let $f(x) = (x-2)^2 + ax$ be a quadratic function with the minimum value o(...TRUNCATED) |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 5