ms_id int64 1 216k | instruction_seed stringlengths 30 7.1k | generated_text stringlengths 8.6k 77k | conversations listlengths 2 2 | answer_extracted stringlengths 1 222 | other_model_answer stringlengths 1 169 | answers_match bool 1
class | source_model stringclasses 1
value |
|---|---|---|---|---|---|---|---|
1 | An isosceles trapezoid has parallel sides of length 10 and 25, with legs of length 15. Find the area of the trapezoid when the angle between one leg and the shorter side is 45 degrees. | <think>
Okay, so I need to find the area of an isosceles trapezoid. The trapezoid has two parallel sides, called the bases, with lengths 10 and 25 units. The legs, which are the non-parallel sides, are each 15 units long. Additionally, the angle between one leg and the shorter base (the side of length 10) is 45 degrees... | [
{
"content": "An isosceles trapezoid has parallel sides of length 10 and 25, with legs of length 15. Find the area of the trapezoid when the angle between one leg and the shorter side is 45 degrees.",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to find the area of an isosceles trapezoid... | \dfrac{525\sqrt{2 | \dfrac{525\sqrt{3 | false | qwen3-235b-a22b |
3 | A bookstore has 5 shelves, each with a different genre of books: fiction, non-fiction, biographies, self-help, and children's books. The store owner wants to display 3 books from each genre on a special display table. If the order of the books on the table matters, how many different arrangements of books are possible? | <think>
Okay, so there's this problem about a bookstore with 5 shelves, each having a different genre: fiction, non-fiction, biographies, self-help, and children's books. The owner wants to display 3 books from each genre on a special display table, and the order of the books on the table matters. We need to figure out... | [
{
"content": "A bookstore has 5 shelves, each with a different genre of books: fiction, non-fiction, biographies, self-help, and children's books. The store owner wants to display 3 books from each genre on a special display table. If the order of the books on the table matters, how many different arrangements ... | \dfrac{15! | 15! | false | qwen3-235b-a22b |
9 | "Let $x$, $y$, $z$ be real numbers such that $x + y + z = 6$ and $x^2 + y^2 + z^2 = 24$. Find the po(...TRUNCATED) | "<think>\nOkay, so I need to find the possible values of the expression $\\frac{x^3 + y^3 + z^3}{xyz(...TRUNCATED) | [{"content":"Let $x$, $y$, $z$ be real numbers such that $x + y + z = 6$ and $x^2 + y^2 + z^2 = 24$.(...TRUNCATED) | (-\infty, 30 - 27\sqrt{2 | 30 - 27\sqrt{2 | false | qwen3-235b-a22b |
18 | "A right circular cone is inscribed in a sphere of radius 10. The cone's vertex is at the center of (...TRUNCATED) | "<think>\nOkay, so I need to find the height of a right circular cone that's inscribed in a sphere w(...TRUNCATED) | [{"content":"A right circular cone is inscribed in a sphere of radius 10. The cone's vertex is at th(...TRUNCATED) | 10 | \dfrac{10\sqrt{3 | false | qwen3-235b-a22b |
20 | "Determine the equation of a parabola in the form $y = ax^2 + bx + c$ with $a \\neq 0$, knowing that(...TRUNCATED) | "<think>\nOkay, let's see. I need to find the equation of a parabola in the form y = ax² + bx + c. (...TRUNCATED) | [{"content":"Determine the equation of a parabola in the form $y = ax^2 + bx + c$ with $a \\neq 0$, (...TRUNCATED) | y = 2x^2 - 8x + 5 | 2x^2 - 8x + 5 | false | qwen3-235b-a22b |
22 | "A ship is 5 km from the shore, and the angle between the ship and a nearby lighthouse, measured fro(...TRUNCATED) | "<think>\nOkay, so there's this problem where a ship is 5 km away from the shore, and the angle betw(...TRUNCATED) | [{"content":"A ship is 5 km from the shore, and the angle between the ship and a nearby lighthouse, (...TRUNCATED) | 10 | 5.77 | false | qwen3-235b-a22b |
36 | "The geometric progressions $\\{2, 6, 18, 54, \\ldots\\}$ and $\\{3, 9, 27, 81, \\ldots \\}$ have so(...TRUNCATED) | "<think>\nOkay, so I need to find the smallest number greater than 1000 that appears in both of thes(...TRUNCATED) | [{"content":"The geometric progressions $\\{2, 6, 18, 54, \\ldots\\}$ and $\\{3, 9, 27, 81, \\ldots (...TRUNCATED) | 1458 | 2187 | false | qwen3-235b-a22b |
37 | "A polyhedron has 9 faces, each of which is an isosceles triangle. How many vertices does the polyhe(...TRUNCATED) | "<think>\nOkay, so I need to figure out how many vertices a polyhedron has if it has 9 faces, all of(...TRUNCATED) | [{"content":"A polyhedron has 9 faces, each of which is an isosceles triangle. How many vertices doe(...TRUNCATED) | 7 | 6 | false | qwen3-235b-a22b |
38 | "In a triangle $ABC$, $\\sin A = \\frac{3}{5}$ and $BC = 24$. Find the length of the altitude from $(...TRUNCATED) | "<think>\nOkay, so I need to find the length of the altitude from vertex A to side BC in triangle AB(...TRUNCATED) | [{"content":"In a triangle $ABC$, $\\sin A = \\frac{3}{5}$ and $BC = 24$. Find the length of the alt(...TRUNCATED) | \dfrac{72 | 36 | false | qwen3-235b-a22b |
39 | "Let\nf(x)=\\left\\{\n\\begin{array}{ll}\n\\ds\\frac{12}{9^x}& \\text{if } x<0\\\\\nx+3& \\text{if }(...TRUNCATED) | "<think>\nOkay, so I need to find the smallest positive value of x where there's a nonnegative integ(...TRUNCATED) | [{"content":"Let\nf(x)=\\left\\{\n\\begin{array}{ll}\n\\ds\\frac{12}{9^x}& \\text{if } x<0\\\\\nx+3&(...TRUNCATED) | \log_9\left( \frac{27 | \log_9 \frac{27 | false | qwen3-235b-a22b |
End of preview. Expand in Data Studio
OpenThoughts4 6K Math - Qwen3-235B-A22B Disagreed Answers
Overview
This dataset contains 5,982 samples from the OpenThoughts4 math dataset where both Qwen3-32B and Qwen3-235B-A22B produced valid \boxed{} answers that differ. 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-tokensmarin-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 |
This dataset | 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 |
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 from Qwen3-235B-A22B |
other_model_answer |
string | Answer from Qwen3-32B |
answers_match |
bool | Whether answers match (always False for this dataset) |
source_model |
string | "qwen3-235b-a22b" |
Use Cases
- Error analysis: Study where models diverge in their reasoning
- Ablation studies: Compare how incorrect answers propagate through training
- Difficulty analysis: These problems are harder (models disagree on answers)
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