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2
216k
instruction_seed
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56
2.27k
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12.9k
72.8k
conversations
listlengths
2
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answer_extracted
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1
90
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12 values
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2
A bookshelf contains an infinite number of books. The titles of the books are written using only the letters A and B. One day, a librarian starts to list the titles of the books in alphabetical order, starting with the books whose titles contain only the letter A, followed by the books whose titles contain only one B, ...
<think> Okay, so there's this problem about a bookshelf with an infinite number of books, and each book has a title made up only of the letters A and B. The librarian is listing the titles in alphabetical order. The way she does it is by starting with books that have only A's, then books with one B, then two B's, and s...
[ { "from": "human", "value": "A bookshelf contains an infinite number of books. The titles of the books are written using only the letters A and B. One day, a librarian starts to list the titles of the books in alphabetical order, starting with the books whose titles contain only the letter A, followed by th...
BB
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qwen3-32b
24,592
"Find the range of values for $k$ such that the graph of $y = f(x) = x^3 + kx^2 + 3x - 2$ intersects(...TRUNCATED)
"<think>\nOkay, so I need to find the range of values for k such that the graph of y = f(x) = x³ + (...TRUNCATED)
[{"from":"human","value":"Find the range of values for $k$ such that the graph of $y = f(x) = x^3 + (...TRUNCATED)
\dfrac
null
null
qwen3-32b
8,215
"In a regular icosahedron, the vertices are connected to form a set of triangles. If each triangle i(...TRUNCATED)
"<think>\nOkay, so I need to figure out the smallest number of triangles that can be painted with a (...TRUNCATED)
[{"from":"human","value":"In a regular icosahedron, the vertices are connected to form a set of tria(...TRUNCATED)
6
null
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qwen3-32b
24,601
"Simplify $\\frac{\\sqrt{3}+\\sqrt{2}}{\\sqrt{3}-\\sqrt{2}} \\cdot \\frac{\\sqrt{2}+\\sqrt{5}}{\\sqr(...TRUNCATED)
"<think>\nOkay, so I need to simplify this expression: \n\n$$\n\\frac{\\sqrt{3}+\\sqrt{2}}{\\sqrt{3}(...TRUNCATED)
[{"from":"human","value":"Simplify $\\frac{\\sqrt{3}+\\sqrt{2}}{\\sqrt{3}-\\sqrt{2}} \\cdot \\frac{\(...TRUNCATED)
\frac
null
null
qwen3-32b
155,686
"Consider three workers, Alice, Bob, and Charlie, who can each paint, garden, and repair at constant(...TRUNCATED)
"<think>\nOkay, let's try to tackle this problem step by step. First, let me make sure I understand (...TRUNCATED)
[{"from":"human","value":"Consider three workers, Alice, Bob, and Charlie, who can each paint, garde(...TRUNCATED)
150
null
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qwen3-32b
49
"Let $f(x)$ and $g(x)$ be two functions such that $f(g(x)) = x^2 + 2x + 1$ and $g(f(x)) = x^3 - 3x^2(...TRUNCATED)
"<think>\nOkay, so I need to find the expression for g(x) given that f(g(x)) = x² + 2x + 1 and g(f((...TRUNCATED)
[{"from":"human","value":"Let $f(x)$ and $g(x)$ be two functions such that $f(g(x)) = x^2 + 2x + 1$ (...TRUNCATED)
-x
null
null
qwen3-32b
8,249
"How many positive integers, not exceeding 1000, are divisible by exactly four distinct prime number(...TRUNCATED)
"<think>\nOkay, so I need to figure out how many positive integers up to 1000 are divisible by exact(...TRUNCATED)
[{"from":"human","value":"How many positive integers, not exceeding 1000, are divisible by exactly f(...TRUNCATED)
23
null
null
qwen3-32b
8,255
"Find the largest value of $k$ such that the graph of $y=x^3-2x^2+kx-1$ intersects the $x$-axis at e(...TRUNCATED)
"<think>\nOkay, so I need to find the largest value of k such that the graph of y = x³ - 2x² + kx (...TRUNCATED)
[{"from":"human","value":"Find the largest value of $k$ such that the graph of $y=x^3-2x^2+kx-1$ int(...TRUNCATED)
\dfrac
null
null
qwen3-32b
81,996
"Consider the function $g(x) = 2x\\sqrt{10-x} - \\sqrt{9-x}$ for $0 \\le x \\le 9$. Find the minimum(...TRUNCATED)
"<think>\nOkay, so I need to find the minimum value of the function $ g(x) = 2x\\sqrt{10 - x} - \\sq(...TRUNCATED)
[{"from":"human","value":"Consider the function $g(x) = 2x\\sqrt{10-x} - \\sqrt{9-x}$ for $0 \\le x (...TRUNCATED)
-3
null
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qwen3-32b
81,999
"A $5 \\times 5 \\times 5$ cube is made up of $125$ smaller unit cubes, with some of them being holl(...TRUNCATED)
"<think>\nOkay, so I need to figure out how many possible \"fancy\" 5x5x5 cubes there are. The defin(...TRUNCATED)
[{"from":"human","value":"A $5 \\times 5 \\times 5$ cube is made up of $125$ smaller unit cubes, wit(...TRUNCATED)
256
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qwen3-32b
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OpenThoughts4 1K Math - Qwen3-32B Only 32B Has Boxed Answer

Overview

This dataset contains 1,477 samples from the OpenThoughts4 math dataset where only Qwen3-32B produced a valid \boxed{} answer (Qwen3-235B-A22B did not). This dataset contains the Qwen3-32B reasoning traces.

Relationship to Other Datasets

This is one of 10 child datasets derived from two parent datasets:

Parent datasets (29,963 samples each):

  • marin-community/open-thoughts-4-30k-math-qwen3-32b-annotated-16384-tokens
  • marin-community/open-thoughts-4-30k-math-qwen3-235b-a22b-annotated

Child datasets (partitioned by answer availability and agreement):

Category 32B Dataset 235B Dataset Samples
Both have answer, agree open-thoughts-4-11k-math-qwen3-32b-agreed-answers open-thoughts-4-11k-math-qwen3-235b-a22b-agreed-answers 10,953
Both have answer, disagree open-thoughts-4-6k-math-qwen3-32b-disagreed-answers open-thoughts-4-6k-math-qwen3-235b-a22b-disagreed-answers 5,982
Neither has answer open-thoughts-4-6k-math-qwen3-32b-neither-has-boxed open-thoughts-4-6k-math-qwen3-235b-a22b-neither-has-boxed 6,110
Only 32B has answer This dataset open-thoughts-4-1k-math-qwen3-235b-a22b-only-32b-has-boxed 1,477
Only 235B has answer open-thoughts-4-5k-math-qwen3-32b-only-235b-has-boxed open-thoughts-4-5k-math-qwen3-235b-a22b-only-235b-has-boxed 5,441
Total 29,963

The ms_id values are unique across all child datasets and match between paired 32B/235B datasets.

Dataset Schema

Field Type Description
ms_id int64 Unique sample identifier
instruction_seed string Original math problem
generated_text string Full reasoning trace from Qwen3-32B
conversations list Multi-turn conversation format
answer_extracted string Extracted answer from Qwen3-32B
other_model_answer string Answer from Qwen3-235B-A22B (None for this dataset)
answers_match bool Whether answers match (None for this dataset)
source_model string "qwen3-32b"

Use Cases

  • Studying cases where the smaller model succeeds but the larger model fails
  • Analyzing format compliance differences between model sizes
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