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ms_id
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2
216k
instruction_seed
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56
2.27k
generated_text
stringlengths
25.5k
75.3k
conversations
listlengths
2
2
answer_extracted
stringclasses
12 values
other_model_answer
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1
90
answers_match
bool
2 classes
source_model
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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 infinite books, all titled using only letters A and B. The librarian is listing them in alphabetical order, starting with all A's, then one B, then two B's, and so on. The question is, when the librarian stops at the 2012th letter, what's the title of the las...
[ { "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...
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BB
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qwen3-235b-a22b
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 function f(x) = x³ + kx²(...TRUNCATED)
[{"from":"human","value":"Find the range of values for $k$ such that the graph of $y = f(x) = x^3 + (...TRUNCATED)
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\dfrac
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qwen3-235b-a22b
8,215
"In a regular icosahedron, the vertices are connected to form a set of triangles. If each triangle i(...TRUNCATED)
"<think>\nOkay, let's see. I have this problem about a regular icosahedron where each triangle (face(...TRUNCATED)
[{"from":"human","value":"In a regular icosahedron, the vertices are connected to form a set of tria(...TRUNCATED)
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6
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qwen3-235b-a22b
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 big expression that's a product of three fractions. Each (...TRUNCATED)
[{"from":"human","value":"Simplify $\\frac{\\sqrt{3}+\\sqrt{2}}{\\sqrt{3}-\\sqrt{2}} \\cdot \\frac{\(...TRUNCATED)
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\frac
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qwen3-235b-a22b
155,686
"Consider three workers, Alice, Bob, and Charlie, who can each paint, garden, and repair at constant(...TRUNCATED)
"<think>\nOkay, so we have three workers: Alice, Bob, and Charlie. Each can paint, garden, and repai(...TRUNCATED)
[{"from":"human","value":"Consider three workers, Alice, Bob, and Charlie, who can each paint, garde(...TRUNCATED)
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150
null
qwen3-235b-a22b
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(x) is x² - 2x + 1, and the c(...TRUNCATED)
[{"from":"human","value":"Let $f(x)$ and $g(x)$ be two functions such that $f(g(x)) = x^2 + 2x + 1$ (...TRUNCATED)
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-x
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qwen3-235b-a22b
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 not exceeding 1000 are divisible (...TRUNCATED)
[{"from":"human","value":"How many positive integers, not exceeding 1000, are divisible by exactly f(...TRUNCATED)
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23
null
qwen3-235b-a22b
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)
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\dfrac
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qwen3-235b-a22b
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√(10 - x) - √(9 - x(...TRUNCATED)
[{"from":"human","value":"Consider the function $g(x) = 2x\\sqrt{10-x} - \\sqrt{9-x}$ for $0 \\le x (...TRUNCATED)
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-3
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qwen3-235b-a22b
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 have this problem about a 5x5x5 cube made up of 125 smaller unit cubes. Some ar(...TRUNCATED)
[{"from":"human","value":"A $5 \\times 5 \\times 5$ cube is made up of $125$ smaller unit cubes, wit(...TRUNCATED)
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256
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qwen3-235b-a22b
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OpenThoughts4 1K Math - Qwen3-235B-A22B 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 Qwen3-235B-A22B reasoning traces (which lack valid boxed answers).

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 open-thoughts-4-1k-math-qwen3-32b-only-32b-has-boxed This dataset 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 Qwen3-235B-A22B
conversations list Multi-turn conversation format
answer_extracted string Extracted answer from Qwen3-235B-A22B (None for this dataset)
other_model_answer string Answer from Qwen3-32B
answers_match bool Whether answers match (None for this dataset)
source_model string "qwen3-235b-a22b"

Use Cases

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