id stringlengths 36 36 | question stringlengths 6 1.34k | answer stringlengths 1 99 | subject stringclasses 1
value | image imagewidth (px) 43 3.66k | responses listlengths 1 8 |
|---|---|---|---|---|---|
af85612d-b460-4b7c-9610-aa83096042a2 | As shown in the figure, there is a flower bed in front of a school building. The flower bed is composed of a regular hexagon $$ABCDEF$$ and 6 circles with a radius of 1 meter, centered at the vertices of the hexagon $$\odot A$$, $$\odot B$$, $$\odot C$$, $$\odot D$$, $$\odot E$$, and $$\odot F$$. It is planned to plant... | $$2\pi$$ | math | [
"The user wants me to find the total area of the shaded regions in the given figure.\n\n**1. Analyze the geometry:**\n* There is a regular hexagon $ABCDEF$.\n* There are 6 circles, each with a radius $r = 1$ meter.\n* The centers of these circles are the vertices of the hexagon: $A, B, C, D, E, F$.\n* The s... | |
5ad772d9-e53f-477a-acb2-1106d33a0852 | The result of the following pseudocode after execution is ___. | $$21$$ | math | [
"The user wants me to determine the output of the provided pseudocode.\n\n**1. Analyze the pseudocode:**\n* **Initialization:** `p <- 1`. So, initially, $p = 1$.\n* **Loop:** `For k From 1 To 10 Step 3`.\n * This means the loop variable $k$ takes values starting from 1, increasing by 3 each time, as long a... | |
1fbb0461-8686-4bdd-ac3e-a12f8dbdd030 | As shown in the figure, points $$E$$ and $$F$$ are the midpoints of sides $$AB$$ and $$CD$$ of square $$ABCD$$, respectively. Now, the square is folded along $$EF$$ to form a dihedral angle of $$60^{\circ}$$. The cosine of the angle between the skew lines $$AE$$ and $$BF$$ is ___. | $$\dfrac{\sqrt{5}}{10}$$ | math | [
"The user wants me to find the cosine of the angle between two skew lines, $AE$ and $BF$, after a square $ABCD$ is folded along the line $EF$.\n\n**1. Analyze the initial state (before folding):**\n* $ABCD$ is a square. Let the side length be $2a$.\n* $E$ is the midpoint of $AB$. So $AE = EB = a$.\n* $F$ is t... | |
c1012f16-e58d-45d3-83e6-adf7c389ff39 | As shown in the figure, BD is a diagonal of rectangle ABCD, and points E and F are the midpoints of BD and DC, respectively. If AB = 4 and BC = 3, then the length of AE + EF is. | 4 | math | [
"The user wants me to find the length of $AE + EF$ based on the provided image and text.\n\n**1. Analyze the given information:**\n* **Shape:** Rectangle $ABCD$.\n* **Dimensions:** $AB = 4$, $BC = 3$. Since it's a rectangle, $CD = AB = 4$ and $AD = BC = 3$.\n* **Diagonal:** $BD$ is a diagonal.\n* **Point E:... | |
27ede552-6009-4cdb-970e-b1f227f1dcce | As shown in the figure, the graphs of the functions $$y=2x$$ and $$y=ax+5$$ intersect at point $$A\left(m,3\right)$$. The solution set of the inequality $$2x< ax+5$$ is ___. | $$x<\dfrac{3}{2}$$ | math | [
"The user wants me to find the solution set for the inequality $2x < ax + 5$.\n\n1. **Analyze the given information:**\n * There are two linear functions: $y = 2x$ and $y = ax + 5$.\n * Their graphs intersect at point $A(m, 3)$.\n * The graph shows $y=2x$ passing through the origin with a positive s... | |
b69da01e-6b29-4b87-aedd-cf3086572283 | Each basket of waxberries is based on a standard of 5 kilograms. Excess kilograms are recorded as positive numbers, and deficiencies are recorded as negative numbers, as shown in the figure. What is the total weight of the 4 baskets of waxberries in kilograms? | 20.1 | math | [
"The user wants me to calculate the total weight of 4 baskets of waxberries based on the provided image and text.\n\n**1. Analyze the input:**\n* **Image:** Shows four baskets of waxberries (lychees, it looks like, but the text says waxberries). Above each basket is a number:\n * Basket 1: -0.1\n * Bask... | |
8cb9c388-233d-4f29-99d1-7ec3885db905 | According to the pseudocode shown below, when the inputs $$a$$ and $$b$$ are $$2$$ and $$3$$ respectively, the final value of $$m$$ that is output is ___. | $$3$$ | math | [
"The user wants me to determine the output of the provided pseudocode given specific inputs.\n\n**1. Analyze the Pseudocode:**\nThe pseudocode is a simple algorithm to find the maximum of two numbers.\n- **Read $a, b$**: This step takes two input values. Let's call them $a$ and $b$.\n- **If $a > b$ Then**: This is ... | |
ca4c2a67-3e0c-4c57-a493-9cf73a4a6f06 | The solution set of the inequality -2x + a ≤ 2 for x is shown in the figure. What is the value of a? | 0 | math | [
"The user wants me to find the value of 'a' given an inequality and its graph.\n\n**1. Analyze the inequality:**\nThe given inequality is $-2x + a \\le 2$.\n\n**2. Solve the inequality for x:**\nI need to isolate $x$.\nSubtract $a$ from both sides:\n$-2x \\le 2 - a$\n\nDivide by $-2$. Remember that dividing an ineq... | |
41540a65-16e0-4a46-89c9-2d4f4cdff4c1 | As shown in the figure, $$OA=1$$. A point $$B$$ is randomly chosen on the semicircular arc with center $$O$$ and radius $$OA$$. The probability that the area of $$\triangle AOB$$ is less than $$\dfrac{1}{4}$$ is ___. | $$\dfrac{1}{3}$$ | math | [
"The user wants me to solve a geometry probability problem based on an image.\n\n**1. Analyze the problem statement:**\n* **Given:** A semicircle with center $O$ and radius $OA = 1$.\n* **Point B:** A point chosen randomly on the semicircular arc. This implies a uniform distribution along the arc length.\n* *... | |
31415d78-ca79-43db-ab5f-939aed6dfda5 | In the figure, in △ABD, ∠D = 90°, CD = 6, AD = 8, ∠ACD = 2∠B, the length of BD is. | 16 | math | ["The user wants me to find the length of BD based on the provided image and text.\n\n**1. Analyze t(...TRUNCATED) |
Dataset card for MMK12-QWEN35-9B-VERIFIED
Strongich/MMK12-QWEN35-9B-VERIFIED is a filtered teacher-trace dataset built from FanqingM/MMK12 using Qwen/Qwen3.5-9B. The goal is to provide high-quality multimodal reasoning traces that can be used for off-policy distillation into smaller models.
Each row keeps the original MMK12 example fields and adds a responses column. The responses column contains a list of verified Qwen responses that survived the filtering pipeline, so a question can end up with fewer than 8 kept responses even though 8 rollouts were sampled initially.
Creation Process
1. Rebuild the MMK12 splits
The original FanqingM/MMK12 test split contains only multiple-choice questions. Because of that, the original train and test splits were merged and then re-split deterministically with:
test_size = 2000seed = 1337
The published train and test splits in this dataset therefore do not match the original MMK12 split boundary.
2. Generate 8 Qwen rollouts per question
For each question-image pair, Qwen/Qwen3.5-9B was sampled for up to 8 rollouts with the following system prompt:
R1_STYLE_SYSTEM_PROMPT_GRPO = (
"You are a visual agent and should provide concise answers."
"The user asks a question, and the Assistant solves it. "
"The assistant first thinks about the reasoning process in the mind "
"and then provides the user with the answer. "
"Let's think step by step and output the final answer within \\boxed{}."
)
Rollout generation used a maximum completion budget of 16384 tokens.
3. Keep only questions with strong rollout agreement
After rollout evaluation, only questions for which Qwen produced at least 6 correct rollouts out of 8 were kept. This biases the dataset toward examples where the teacher is consistently correct rather than occasionally lucky. As a result, the retained questions are useful not only for off-policy distillation, but also as a higher-confidence prompt pool for on-policy distillation setups such as GOLD, where stable teacher behavior is desirable.
4. Filter individual responses
Even for kept questions, each candidate response still had to pass several filters:
- it had to contain
</think>, so incomplete reasoning traces were dropped - the combined prompt and response length had to be
<= 16384tokens - its 4-gram repetition ratio had to be
<= 0.30
Intended Use
This dataset is meant for off-policy distillation of smaller models from a stronger multimodal teacher. In practice, the responses list gives multiple filtered teacher traces per question, which makes the dataset useful for SFT-style training, response selection, or other teacher-student training setups.
Code Availability
The dataset generation code is not included in this release. It will be released later.
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