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... | <image>Based on the image, set up the equation and solve it. | 4x + 28.5 = 51.5, x = 5.75 | MMR1 | math | close | numeric | qwen3.5-27b | 0.25 | <think>
The image shows a diagram representing a total quantity of 51.5 tons, composed of two parts:
- A lower part labeled as 28.5 tons.
- An upper part made up of four equal segments, each labeled “x 吨” (meaning x tons).
This implies that the sum of the four x-ton segments plus the 28.5-ton segment equals the total... |
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... | <image>Rules:
1. Each numbered region represents a piece on the board.
2. Pieces are considered adjacent if they share at least one edge.
3. Pieces that only touch at corners are not considered adjacent.
4. One piece is removed from main board and shown below. It has been rotated and may have been flipped.
Question:
C... | 8 | GameQA-140K | logic/game/puzzle | close | multiple_choice | qwen3.5-27b | 0.75 | <think>
Let's analyze the problem step by step.
We are given a "Main Board" grid and a "Removed Pieces" section showing what was taken out. The removed piece is a 2x3 block (2 columns, 3 rows) with five cells containing '4' and one cell diagonally striped (hatched). Specifically:
- Rows 0.0 to 1.5: all red with '4'
-... |
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As shown in the figure, \(∠MON=90^{\circ}\). Points \(A\) and \(B\) move along the rays \(OM\) and \(ON\), respectively. Line \(BE\) is the angle bisector of \(∠ABN\). The extension of line \(BE\) intersects the angle bisector of \(∠OAB\) at point \(C\). The question is: Does the size of \(∠ACB\) change? If it ... | The size of ∠ACB remains unchanged. | MMR1 | math | close | yes_no | qwen3.5-27b | 0.5 | <think>
We are given a geometric configuration with:
- ∠MON = 90°, so rays OM and ON are perpendicular.
- Points A on ray OM, B on ray ON — both can move.
- Line BE bisects ∠ABN (note: N is the direction of the positive y-axis, since ON is vertical).
- The extension of BE intersects the angle bisector of ∠OAB at point... |
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1... | <image>This game is called Chess Ranger. The rules are as follows:Pieces move like in standard chess.You can only perform capture moves.The king is allowed to be captured.The goal is to end up with a single piece remaining on the board.How many steps are needed to solve the puzzle?Choose from the following options:A.5,... | D | GameQA-140K | logic/game/puzzle | close | multiple_choice | qwen3.5-27b | 0.5 | <think>
We are given a chessboard with black pieces only (as per the image: King on a7, Knight on a6, Rook on f1, Bishop on f8). The game is called “Chess Ranger” and has special rules:
- Pieces move like in standard chess.
- **You can only perform capture moves.** → So every move must be a capture; you cannot make no... |
mmfr_50 | [
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237,... | <image>In the figure, point P is inside triangle ABC, with PA=6, PB=8, and PC=10. If triangle PAC is rotated counterclockwise around point A to obtain triangle P'AB, what is the distance between points P and P' (PP') and the angle ∠APB in degrees? | PP'=6, \angle APB=150 degrees | MMR1 | math | close | numeric | qwen3.5-27b | 0.75 | <think>
We are given a triangle ABC with point P inside it, and lengths:
PA = 6, PB = 8, PC = 10.
Triangle PAC is rotated **counterclockwise around point A** to obtain triangle P'AB.
This means:
- Point A is fixed (center of rotation).
- Point C maps to point B → so AC = AB (since rotation preserves distances),... |
mmfr_62 | [
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How many columns of vertical bars are there in the image? | 11 | FineVision-visualwebinstruct(filtered) | chart/table/doc | close | counting | qwen3.5-27b | 0.75 | <think>
To determine the number of columns of vertical bars in the image, we need to count the distinct vertical lines that form the grid.
Looking at the image:
- The grid is composed of both horizontal and vertical lines.
- We are only counting the **vertical** bars (lines).
- These vertical lines run from top to bot... |
mmfr_63 | "iVBORw0KGgoAAAANSUhEUgAAAZsAAAE4CAIAAAACcsnvAABOhElEQVR4nO29WZMcN5bveQ7gSyy5r0ySyVXcRFElSiVV19JSdW1(...TRUNCATED) | "<image> Ten small rectangles of the same size and shape (white parts) are arranged as shown inside (...TRUNCATED) | A | BMMR | math | close | multiple_choice | qwen3.5-27b | 0.25 | "<think>\nWe are given a large rectangle ABCD with sides AB = m (vertical) and BC = n (horizontal). (...TRUNCATED) |
mmfr_69 | "iVBORw0KGgoAAAANSUhEUgAAAhUAAACGCAIAAADl6+/tAAC+CUlEQVR4nOx9dVxVadf2Pp0cuqVbOsQEBASxxhZbxHHMUTFmjBF(...TRUNCATED) | "<image>Xinxin's home to school is 960 meters. He goes home for lunch, so how long does he walk in t(...TRUNCATED) | 3840 | MMR1 | math | close | numeric | qwen3.5-27b | 1 | "<think>\nThe image shows that the distance from Xinxin's home to school is 960 meters.\n\nThe probl(...TRUNCATED) |
mmfr_84 | "iVBORw0KGgoAAAANSUhEUgAAAKsAAACPCAIAAAAKt7xuAAAbfUlEQVR4nO2deVxT17bH98mcAEkgQAhhnkREQUEsChUURLGiUGy(...TRUNCATED) | "<image>In the figure, it is known that in quadrilateral \\(ABCD\\), \\({∠}ABC{=}90^{{∘}}{,}{∠(...TRUNCATED) | 6\sqrt{3} - 8, 14/3 | MMR1 | math | close | numeric | qwen3.5-27b | 0.75 | "<think>\nWe are given a quadrilateral $ABCD$ with $\\angle ABC = 90^\\circ$, $\\angle ADC = 90^\\ci(...TRUNCATED) |
mmfr_85 | "iVBORw0KGgoAAAANSUhEUgAAAR4AAABMCAIAAAA0mk/JAAATjUlEQVR4nO2db2xT1f/Hz+3cSm8JrAUCk4VuwjoVuewX6QZ6Rwz(...TRUNCATED) | "<image>Use chess pieces to form the set of shapes shown in the figure:\n\n(1) The 1st shape require(...TRUNCATED) | 6048 | MMR1 | math | close | numeric | qwen3.5-27b | 1 | "<think>\nLet's analyze the pattern in the image.\n\nWe are given three shapes formed by chess piece(...TRUNCATED) |
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