Datasets:

marin-community
/

open-thoughts-4-6k-math-qwen3-235b-a22b-neither-has-boxed

ms_id int64 0 216k	instruction_seed stringlengths 28 2.73k	generated_text stringlengths 4.99k 72.4k	conversations listlengths 2 2	answer_extracted stringclasses 5 values	other_model_answer stringclasses 4 values	answers_match bool 2 classes	source_model stringclasses 1 value
0	A company offers two investment plans: Plan 1: A 5-year investment with an annual interest rate of 6%, compounded monthly. At the end of each year, the investor receives 20% of the interest earned, and the rest is reinvested. Plan 2: A 5-year investment with an annual interest rate of 6%, compounded annually....	<think> Okay, so Sarah is investing $50,000 in Plan 1, and we need to figure out how much she gets over 5 years and compare that to Plan 2. Hmm, let's see. Both plans have a 6% annual interest rate, but different compounding and payout structures. Plan 1 is compounded monthly, but each year she gets 20% of the interes...	[ { "from": "human", "value": "A company offers two investment plans:\n\nPlan 1: A 5-year investment with an annual interest rate of 6%, compounded monthly. At the end of each year, the investor receives 20% of the interest earned, and the rest is reinvested.\n\nPlan 2: A 5-year investment with an ann...	null	null	null	qwen3-235b-a22b
4	How many different circles pass through at least three points in this 4-by-4 grid of lattice points? [asy] size(30); dot((0,0)); dot((1,0)); dot((2,0)); dot((3,0)); dot((0,1)); dot((1,1)); dot((2,1)); dot((3,1)); dot((0,2)); dot((1,2)); dot((2,2)); dot((3,2)); dot((0,3)); dot((1,3)); dot((2,3)); dot((3,3)); [/asy]	<think> Okay, so I need to figure out how many different circles pass through at least three points in a 4-by-4 grid of lattice points. Hmm, that sounds a bit complicated, but maybe I can break it down step by step. First, I remember that three non-collinear points determine a unique circle. So, in general, if I take ...	[ { "from": "human", "value": "How many different circles pass through at least three points in this 4-by-4 grid of lattice points? \n\n[asy]\nsize(30);\ndot((0,0));\ndot((1,0));\ndot((2,0));\ndot((3,0));\ndot((0,1));\ndot((1,1));\ndot((2,1));\ndot((3,1));\ndot((0,2));\ndot((1,2));\ndot((2,2));\ndot((3,2));\n...	null	null	null	qwen3-235b-a22b
7	"Let f(x) be a quadratic function with a leading coefficient 1 and the equation f(f(x))=0 having exa(...TRUNCATED)	"<think>\nOkay, so I need to solve this problem about quadratic functions and their compositions. Le(...TRUNCATED)	[{"from":"human","value":"Let f(x) be a quadratic function with a leading coefficient 1 and the equa(...TRUNCATED)	null	null	null	qwen3-235b-a22b
8	"Consider a sequence of points on the complex plane defined by the recurrence relation $z_n=z_{n-1}+(...TRUNCATED)	"<think>\nOkay, so I need to figure out how many sequences defined by this recurrence relation will (...TRUNCATED)	[{"from":"human","value":"Consider a sequence of points on the complex plane defined by the recurren(...TRUNCATED)	null	null	null	qwen3-235b-a22b
11	In a certain base $b$, the cube of $321_b$ is $1954321_b$. What is $b$?	"<think>\nOkay, so I need to figure out the base $ b $ where the cube of the number $ 321_b $ equals(...TRUNCATED)	[{"from":"human","value":"In a certain base $b$, the cube of $321_b$ is $1954321_b$. What is $b$?"}(...TRUNCATED)	null	null	null	qwen3-235b-a22b
13	"Simplify the expression $\\sqrt[3]{2-3\\sqrt[3]{-20}}$, and express it in the form $a+b\\sqrt[3]{c}(...TRUNCATED)	"<think>\nOkay, so I need to simplify the cube root expression: $\\sqrt[3]{2 - 3\\sqrt[3]{-20}}$, an(...TRUNCATED)	[{"from":"human","value":"Simplify the expression $\\sqrt[3]{2-3\\sqrt[3]{-20}}$, and express it in (...TRUNCATED)	null	null	null	qwen3-235b-a22b
21	"In triangle $ABC$, points $D$, $E$, and $F$ are chosen on sides $BC$, $AC$, and $AB$ respectively, (...TRUNCATED)	"<think>\nOkay, so I need to find the measure of angle DEF in triangle ABC where points D, E, F are (...TRUNCATED)	[{"from":"human","value":"In triangle $ABC$, points $D$, $E$, and $F$ are chosen on sides $BC$, $AC$(...TRUNCATED)	null	null	null	qwen3-235b-a22b
28	"A magic trick involves shuffling a standard deck of 52 cards and then drawing a hand of 5 cards. Wh(...TRUNCATED)	"<think>\nOkay, so there's this magic trick problem where we have a standard 52-card deck. First, yo(...TRUNCATED)	[{"from":"human","value":"A magic trick involves shuffling a standard deck of 52 cards and then draw(...TRUNCATED)	null	null	null	qwen3-235b-a22b
30	"In a quadrilateral $ABCD$, the midpoints of the diagonals $AC$ and $BD$ are connected to form a seg(...TRUNCATED)	"<think>\nOkay, so I need to figure out the ratio of the area of a certain triangle to the area of t(...TRUNCATED)	[{"from":"human","value":"In a quadrilateral $ABCD$, the midpoints of the diagonals $AC$ and $BD$ ar(...TRUNCATED)	null	null	null	qwen3-235b-a22b
34	"In the Cartesian plane, a circle centered at $(2,1)$ has radius $r$ such that it intersects the cir(...TRUNCATED)	"<think>\nOkay, so I need to find the largest possible radius r for a circle centered at (2,1) such (...TRUNCATED)	[{"from":"human","value":"In the Cartesian plane, a circle centered at $(2,1)$ has radius $r$ such t(...TRUNCATED)	null	null	null	qwen3-235b-a22b

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OpenThoughts4 6K Math - Qwen3-235B-A22B Neither Has Boxed Answer

Overview

This dataset contains 6,110 samples from the OpenThoughts4 math dataset where neither Qwen3-32B nor Qwen3-235B-A22B produced a valid \boxed{} answer. This dataset contains the Qwen3-235B-A22B 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`	This dataset	6,110
Only 32B has answer	`open-thoughts-4-1k-math-qwen3-32b-only-32b-has-boxed`	`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 Qwen3-235B-A22B
`conversations`	list	Multi-turn conversation format
`answer_extracted`	string	Extracted answer (None for this dataset)
`other_model_answer`	string	Answer from Qwen3-32B (None for this dataset)
`answers_match`	bool	Whether answers match (None for this dataset)
`source_model`	string	"qwen3-235b-a22b"

Use Cases

Analyzing failure modes in mathematical reasoning
Studying cases where models fail to produce structured answers
Understanding the difficulty of problems that stump both models

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