data_source stringclasses 1
value | prompt listlengths 1 1 | images listlengths 1 1 | ability stringclasses 1
value | reward_model dict | extra_info dict |
|---|---|---|---|---|---|
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: How many rectangles are in this figure?\n\n You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAIWAZgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "11",
"style": "rule"
} | {
"answer": "11",
"index": 100,
"question": "How many rectangles are in this figure?\n\n<image1>",
"split": "test",
"task": "combinatorial geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Which part of the house is missing?\n\n<image2>\nChoices:\n(A) A\n(B) B\n(C) C\n(D) D\n(E) E You FIRST think about the reasoning process as an internal monologue and then provi... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAQeBOwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "E",
"style": "rule"
} | {
"answer": "E",
"index": 101,
"question": "Which part of the house is missing?\n<image1>\n<image2>",
"split": "test",
"task": "combinatorial geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: What is the smallest number of dots that need be removed from the pattern shown, so that no three of the remaining dots are at the vertices of an equilateral triangle?\n You FIRST think about the reasonin... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAC/APADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 102,
"question": "What is the smallest number of dots that need be removed from the pattern shown, so that no three of the remaining dots are at the vertices of an equilateral triangle?\n<image1>",
"split": "test",
"task": "combinatorial geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: One vertex of the triangle on the left is connected to one vertex of the triangle on the right using a straight line so that no connecting line segment dissects either of the two triangles into two parts. ... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEMAj4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 103,
"question": "One vertex of the triangle on the left is connected to one vertex of the triangle on the right using a straight line so that no connecting line segment dissects either of the two triangles into two parts. In how many ways is this possible?\n<image1>",
"split": "test",... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: On a sheet of paper a grid is drawn such that each of the squares has sides $2 \\mathrm{~cm}$ long. How big is the area of the grey shaded quadrilateral $A B C D$?\n\nChoices:\n... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEmAXADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 104,
"question": "On a sheet of paper a grid is drawn such that each of the squares has sides $2 \\mathrm{~cm}$ long. How big is the area of the grey shaded quadrilateral $A B C D$?\n<image1>",
"split": "test",
"task": "combinatorial geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Two dice with volumes $V$ and $W$ intersect each other as shown. $90 \\%$ of the volume of the die with volume $V$ does not belong to both dice. $85 \\%$ of the volume of the di... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFTAfMDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 105,
"question": "Two dice with volumes $V$ and $W$ intersect each other as shown. $90 \\%$ of the volume of the die with volume $V$ does not belong to both dice. $85 \\%$ of the volume of the die with volume $W$ does not belong to both dice. What is the relationship between the volumes ... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Five blocks are built with equal cubes glued face to face. In which of them was the smallest number of cubes used?\n\nChoices:\n(A) A\n(B) B\n(C) C\n(D) D\n(E) E You FIRST thin... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFHBrcDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 106,
"question": "Five blocks are built with equal cubes glued face to face. In which of them was the smallest number of cubes used?\n<image1>",
"split": "test",
"task": "solid geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: Three 12 cm $\\times$ 12 cm squares are each cut into two pieces $A$ and $B$, as shown in the first figure below, by joining the midpoints of two adjacent sides. These six pieces are then attached to a re... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHkA4EDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "864",
"style": "rule"
} | {
"answer": "864",
"index": 107,
"question": "Three 12 cm $\\times$ 12 cm squares are each cut into two pieces $A$ and $B$, as shown in the first figure below, by joining the midpoints of two adjacent sides. These six pieces are then attached to a regular hexagon, as shown in the second figure, so as to fold int... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: Isabella uses one-foot cubical blocks to build a rectangular fort that is 12 feet long, 10 feet wide, and 5 feet high. The floor and the four walls are all one foot thick. How many blocks does the fort con... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAKwAw4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "280",
"style": "rule"
} | {
"answer": "280",
"index": 108,
"question": "Isabella uses one-foot cubical blocks to build a rectangular fort that is 12 feet long, 10 feet wide, and 5 feet high. The floor and the four walls are all one foot thick. How many blocks does the fort contain?\n<image1>",
"split": "test",
"task": "solid geometry"... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Which pattern of identical squares could NOT be folded along the lines shown to form a cube?\n\n\nChoices:\n(A) A\n(B) B\n(C) C\n(D) D\n(E) E You FIRST think about the reasonin... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCADGBZkDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 109,
"question": "Which pattern of identical squares could NOT be folded along the lines shown to form a cube?\n\n<image1>",
"split": "test",
"task": "solid geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: The edges of a regular tetrahedron with vertices $A ,~ B,~ C$, and $D$ each have length one. Find the least possible distance between a pair of points $P$ and $Q$, where $P$ is ... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHdAiEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 110,
"question": "The edges of a regular tetrahedron with vertices $A ,~ B,~ C$, and $D$ each have length one. Find the least possible distance between a pair of points $P$ and $Q$, where $P$ is on edge $AB$ and $Q$ is on edge $CD$.\n<image1>",
"split": "test",
"task": "solid geometr... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: The figure may be folded along the lines shown to form a number cube. Three number faces come together at each corner of the cube. What is the largest sum of three numbers whose faces come together at a ... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGhAiEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "14",
"style": "rule"
} | {
"answer": "14",
"index": 111,
"question": "The figure may be folded along the lines shown to form a number cube. Three number faces come together at each corner of the cube. What is the largest sum of three numbers whose faces come together at a corner?\n\n<image1>",
"split": "test",
"task": "solid geomet... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: Cleo builds a pyramid with identical metal spheres. Its square base is a $4 \\times 4$ array of spheres, as shown in the diagram. The upper layers are a $3 \\times 3$ array of spheres, a $2 \\times 2$ arra... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEKAQQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "96",
"style": "rule"
} | {
"answer": "96",
"index": 112,
"question": "Cleo builds a pyramid with identical metal spheres. Its square base is a $4 \\times 4$ array of spheres, as shown in the diagram. The upper layers are a $3 \\times 3$ array of spheres, a $2 \\times 2$ array of spheres and a single sphere at the top. At each point of co... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: The lengths of the sides of triangle $X Y Z$ are $X Z=\\sqrt{55}$, $X Y=8, Y Z=9$. Find the length of the diagonal $X A$ of the rectangular parallelepiped in the figure.\n You FIRST think about the reason... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFWAYQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "10",
"style": "rule"
} | {
"answer": "10",
"index": 113,
"question": "The lengths of the sides of triangle $X Y Z$ are $X Z=\\sqrt{55}$, $X Y=8, Y Z=9$. Find the length of the diagonal $X A$ of the rectangular parallelepiped in the figure.\n<image1>",
"split": "test",
"task": "solid geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: The diagram shows two different views of the same cube. The cube is made from 27 small cubes, which are either white or black. At most how many black cubes are there?\n You FIRST think about the reasoning... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAECAeYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "9",
"style": "rule"
} | {
"answer": "9",
"index": 114,
"question": "The diagram shows two different views of the same cube. The cube is made from 27 small cubes, which are either white or black. At most how many black cubes are there?\n<image1>",
"split": "test",
"task": "solid geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: Nathalie wanted to build a large cube out of lots of small cubes, just like in picture 1. How many cubes are missing from picture 2 that would be needed to build the large cube?\n You FIRST think about th... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGDAqYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "7",
"style": "rule"
} | {
"answer": "7",
"index": 115,
"question": "Nathalie wanted to build a large cube out of lots of small cubes, just like in picture 1. How many cubes are missing from picture 2 that would be needed to build the large cube?\n<image1>",
"split": "test",
"task": "solid geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: The right pyramid shown has a square base and all eight of its edges are the same length. What is the degree measure of angle $ABD$? You FIRST think about the reasoning process as an internal monologue an... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAf8CdgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "45",
"style": "rule"
} | {
"answer": "45",
"index": 116,
"question": "The right pyramid shown has a square base and all eight of its edges are the same length. What is the degree measure of angle $ABD$?<image1>",
"split": "test",
"task": "solid geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: Carl built the shape shown using seven unit cubes. How many such cubes does he have to add to make a cube with edges of length 3 ? You FIRST think about the reasoning process as an internal monologue and... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEHAPoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "20",
"style": "rule"
} | {
"answer": "20",
"index": 117,
"question": "Carl built the shape shown using seven unit cubes. How many such cubes does he have to add to make a cube with edges of length 3 ? <image1>",
"split": "test",
"task": "solid geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the adjoining figure of a rectangular solid, $\\angle DHG=45^\\circ$ and $\\angle FHB=60^\\circ$. Find the cosine of $\\angle BHD$.\n\n\nChoices:\n(A) $\\frac{\\sqrt{3}}{6}$\... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAK5AhkDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 118,
"question": "In the adjoining figure of a rectangular solid, $\\angle DHG=45^\\circ$ and $\\angle FHB=60^\\circ$. Find the cosine of $\\angle BHD$.\n\n<image1>",
"split": "test",
"task": "solid geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: A $3 \\times 3 \\times 3$ cube is made up of small $1 \\times 1 \\times 1$ cubes. Then the middle cubes from front to back, from top to bottom and from right to left are removed (see diagram). How many $1 ... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGvAaUDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "20",
"style": "rule"
} | {
"answer": "20",
"index": 119,
"question": "A $3 \\times 3 \\times 3$ cube is made up of small $1 \\times 1 \\times 1$ cubes. Then the middle cubes from front to back, from top to bottom and from right to left are removed (see diagram). How many $1 \\times 1 \\times 1$ - cubes remain?\n<image1>",
"split": "tes... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: The picture shows the same die in three different positions. When the die is rolled, what is the probability of rolling a 'YES'?\n\nChoices:\n(A) $\\frac{1}{3}$\n(B) $\\frac{1}{... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAD6AqEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 120,
"question": "The picture shows the same die in three different positions. When the die is rolled, what is the probability of rolling a 'YES'?\n<image1>",
"split": "test",
"task": "solid geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: A hexagon is inscribed in a circle: What is the measure of $\\alpha$, in degrees? You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning pro... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAnYCdgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "145",
"style": "rule"
} | {
"answer": "145",
"index": 121,
"question": "A hexagon is inscribed in a circle: <image1> What is the measure of $\\alpha$, in degrees?",
"split": "test",
"task": "metric geometry - angle"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle $ABC, AB=AC, AE=AD$ and angle $BAD=30^{\\circ}$. What is the size of angle $CDE$ ? \nChoices:\n(A) $10^{\\circ}$\n(B) $15^{\\circ}$\n(C) $20^{\\circ}$\n(D) $25^{\\ci... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAF1AlkDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 122,
"question": "In triangle $ABC, AB=AC, AE=AD$ and angle $BAD=30^{\\circ}$. What is the size of angle $CDE$ ? <image1>",
"split": "test",
"task": "metric geometry - angle"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the figure $ \\overline{AB} = \\overline{AC}$, angle $ BAD = 30^{\\circ}$, and $ \\overline{AE} = \\overline{AD}$.\nThen angle $ CDE$ equals:\nChoices:\n(A) $7\\frac{1}{2}^{\... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEwAiEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 123,
"question": "In the figure $ \\overline{AB} = \\overline{AC}$, angle $ BAD = 30^{\\circ}$, and $ \\overline{AE} = \\overline{AD}$.\n<image1>Then angle $ CDE$ equals:",
"split": "test",
"task": "metric geometry - angle"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the triangle $P Q R$, the lengths of sides $P Q$ and $P R$ are the same. The point $S$ lies on $Q R$ so that $Q S=P S$ and $\\angle R P S=75^{\\circ}$. What is the size of $\... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEEAboDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 124,
"question": "In the triangle $P Q R$, the lengths of sides $P Q$ and $P R$ are the same. The point $S$ lies on $Q R$ so that $Q S=P S$ and $\\angle R P S=75^{\\circ}$. What is the size of $\\angle Q R P$ ? <image1>",
"split": "test",
"task": "metric geometry - angle"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: Triangle $ABC$ is inscribed in a circle, and $\\angle B = \\angle C = 4\\angle A$. If $B$ and $C$ are adjacent vertices of a regular polygon of $n$ sides inscribed in this circle, then $n=$\n You FIRST th... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAIeAfYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "9",
"style": "rule"
} | {
"answer": "9",
"index": 125,
"question": "Triangle $ABC$ is inscribed in a circle, and $\\angle B = \\angle C = 4\\angle A$. If $B$ and $C$ are adjacent vertices of a regular polygon of $n$ sides inscribed in this circle, then $n=$\n<image1>",
"split": "test",
"task": "metric geometry - angle"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: In the diagram, two circles, each with center $D$, have radii of $1$ and $2$. The total area of the shaded region is $\\frac{5}{12}$ of the area of the larger circle. How many degrees are in the measure of... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAm9CdgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "120",
"style": "rule"
} | {
"answer": "120",
"index": 126,
"question": "In the diagram, two circles, each with center $D$, have radii of $1$ and $2$. The total area of the shaded region is $\\frac{5}{12}$ of the area of the larger circle. How many degrees are in the measure of (the smaller) $\\angle ADC$?\n<image1>",
"split": "test",
... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: What is the sum of the six marked angles in the picture?\n\nChoices:\n(A) $360^{\\circ}$\n(B) $900^{\\circ}$\n(C) $1080^{\\circ}$\n(D) $1120^{\\circ}$\n(E) $1440^{\\circ}$ You ... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEXAYcDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 127,
"question": "What is the sum of the six marked angles in the picture?\n<image1>",
"split": "test",
"task": "metric geometry - angle"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In an isosceles triangle $A B C(A B=A C)$, the bisector $C D$ of the angle $C$ is equal to the base $B C$. Then the angle $C D A$ is equal to\n\nChoices:\n(A) $90^{\\circ}$\n(B)... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGMARUDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 128,
"question": "In an isosceles triangle $A B C(A B=A C)$, the bisector $C D$ of the angle $C$ is equal to the base $B C$. Then the angle $C D A$ is equal to\n<image1>",
"split": "test",
"task": "metric geometry - angle"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In triangle $ABC$, $AB=AC$. If there is a point $P$ strictly between $A$ and $B$ such that $AP=PC=CB$, then $\\angle A =$\n\nChoices:\n(A) $30^{\\circ}$\n(B) $36^{\\circ}$\n(C) ... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAIWAZ8DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 129,
"question": "In triangle $ABC$, $AB=AC$. If there is a point $P$ strictly between $A$ and $B$ such that $AP=PC=CB$, then $\\angle A =$\n<image1>",
"split": "test",
"task": "metric geometry - angle"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: $ABCD$ is a square and $M$ and $N$ are the midpoints of $BC$ and $CD$ respectively. Then $\\sin \\theta=$\n\nChoices:\n(A) $\\frac{\\sqrt{5}}{5}$\n(B) $\\frac{3}{5}$\n(C) $\\fra... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAIZAiEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 130,
"question": "$ABCD$ is a square and $M$ and $N$ are the midpoints of $BC$ and $CD$ respectively. Then $\\sin \\theta=$\n<image1>",
"split": "test",
"task": "metric geometry - angle"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If $\\angle A = 60^\\circ $, $\\angle E = 40^\\circ $ and $\\angle C = 30^\\circ $, then $\\angle BDC = $\n\n\nChoices:\n(A) $40^\\circ$\n(B) $50^\\circ$\n(C) $60^\\circ$\n(D) $... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAF5AiEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 131,
"question": "If $\\angle A = 60^\\circ $, $\\angle E = 40^\\circ $ and $\\angle C = 30^\\circ $, then $\\angle BDC = $\n\n<image1>",
"split": "test",
"task": "metric geometry - angle"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: The diagram below shows the circular face of a clock with radius $20$ cm and a circular disk with radius $10$ cm externally tangent to the clock face at $12$ o'clock. The disk h... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJcAdgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 132,
"question": "The diagram below shows the circular face of a clock with radius $20$ cm and a circular disk with radius $10$ cm externally tangent to the clock face at $12$ o'clock. The disk has an arrow painted on it, initially pointing in the upward vertical direction. Let the disk ... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: A black disc with two holes is placed on top of a dial of a watch.\nThe black disc is turned.\nWhich two numbers can be seen at the same time?\n\nChoices:\n(A) 4 and 9\n(B) 5 an... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFYAtADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 133,
"question": "A black disc with two holes is placed on top of a dial of a watch.\nThe black disc is turned.\nWhich two numbers can be seen at the same time?\n<image1>",
"split": "test",
"task": "transformation geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: A coin with diameter $1 \\mathrm{~cm}$ rolls around the outside of a regular hexagon with edges of length $1 \\mathrm{~cm}$ until it returns to its original position. In centime... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAELAMwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 134,
"question": "A coin with diameter $1 \\mathrm{~cm}$ rolls around the outside of a regular hexagon with edges of length $1 \\mathrm{~cm}$ until it returns to its original position. In centimetres, what is the length of the path traced out by the centre of the coin? <image1>",
"spli... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: The little caterpillar rolls up to go to sleep. What could it look like then?\n<image2>\nChoices:\n(A) A\n(B) B\n(C) C\n(D) D\n(E) E You FIRST think about the reasoning proces... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHVBxgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 135,
"question": "The little caterpillar <image1> rolls up to go to sleep. What could it look like then?\n<image2>",
"split": "test",
"task": "transformation geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: A square piece of paper has side length $1$ and vertices $A,B,C,$ and $D$ in that order. As shown in the figure, the paper is folded so that vertex $C$ meets edge $\\overline{AD... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAISAiEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 136,
"question": "A square piece of paper has side length $1$ and vertices $A,B,C,$ and $D$ in that order. As shown in the figure, the paper is folded so that vertex $C$ meets edge $\\overline{AD}$ at point $C'$, and edge $\\overline{BC}$ intersects edge $\\overline{AB}$ at point $E$. Su... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: Blahaj has two rays with a common endpoint A0 that form an angle of $1^o$. They construct a sequence of points $A_0$, $. . . $, $A_n$ such that for all $1 \\le i \\le n$, $|A_{i-1}A_i | = 1$, and $|A_iA_0|... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCACBAakDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "90",
"style": "rule"
} | {
"answer": "90",
"index": 137,
"question": "Blahaj has two rays with a common endpoint A0 that form an angle of $1^o$. They construct a sequence of points $A_0$, $. . . $, $A_n$ such that for all $1 \\le i \\le n$, $|A_{i-1}A_i | = 1$, and $|A_iA_0| > |A_{i-1}A_0|$. Find the largest possible value of $n$.\\n<ima... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: A rectangular piece of paper with side lengths 5 by 8 is folded along the dashed lines shown below, so that the folded flaps just touch at the corners as shown by the dotted lines. Find the area of the res... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAF5AiEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "55/2",
"style": "rule"
} | {
"answer": "55/2",
"index": 138,
"question": "A rectangular piece of paper with side lengths 5 by 8 is folded along the dashed lines shown below, so that the folded flaps just touch at the corners as shown by the dotted lines. Find the area of the resulting trapezoid.\\n<image1>",
"split": "test",
"task": "t... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Mary had a piece of paper. She folded it exactly in half. Then she folded it exactly in half again. She got this shape . Which of the shapes P, Q or R could have been the shape ... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJ4A1ADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "E",
"style": "rule"
} | {
"answer": "E",
"index": 139,
"question": "Mary had a piece of paper. She folded it exactly in half. Then she folded it exactly in half again. She got this shape <image1>. Which of the shapes P, Q or R could have been the shape of her original piece of paper?\n<image2>",
"split": "test",
"task": "transformat... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Joanna turns over the card shown about its lower edge and then about its right-hand edge, as indicated in the diagram.\n\nWhat does she see?\n<image2>\nChoices:\n(A) A\n(B) B\n(... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAMVBR4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 140,
"question": "Joanna turns over the card shown about its lower edge and then about its right-hand edge, as indicated in the diagram.\n<image1>\nWhat does she see?\n<image2>",
"split": "test",
"task": "transformation geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: An equilateral triangle $A C D$ is rotated counterclockwise around point $A$. At what angle has it been rotated unen it covers equilateral triangle $A B C$ for the first time?\n... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGEAhwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "E",
"style": "rule"
} | {
"answer": "E",
"index": 141,
"question": "An equilateral triangle $A C D$ is rotated counterclockwise around point $A$. At what angle has it been rotated unen it covers equilateral triangle $A B C$ for the first time?\n<image1>",
"split": "test",
"task": "transformation geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Vilma took a sheet of paper measuring $10 \\mathrm{~cm} \\times 20 \\mathrm{~cm}$ and made two folds, taking the two smaller sides of the sheet to a diagonal of it. She gets a p... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCADKAqIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 142,
"question": "Vilma took a sheet of paper measuring $10 \\mathrm{~cm} \\times 20 \\mathrm{~cm}$ and made two folds, taking the two smaller sides of the sheet to a diagonal of it. She gets a parallelogram, as shown in the picture. What is the area of this quadrilateral, in $\\mathrm{c... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Every time these two wheels are spun, two numbers are selected by the pointers. What is the probability that the sum of the two selected numbers is even?\n\nChoices:\n(A) $\\fr... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFtAo0DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 143,
"question": "Every time these two wheels are spun, two numbers are selected by the pointers. What is the probability that the sum of the two selected numbers is even?\n<image1>",
"split": "test",
"task": "combinatorics"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: In how many ways can the three kangaroos be placed in three different squares so that no kangaroo has an immediate neighbour?\n You FIRST think about the reasoning process as an internal monologue and the... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAC/A8sDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "10",
"style": "rule"
} | {
"answer": "10",
"index": 144,
"question": "In how many ways can the three kangaroos be placed in three different squares so that no kangaroo has an immediate neighbour?\n<image1>",
"split": "test",
"task": "combinatorics"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: The following analog clock has two hands that can move independently of each other.\n\nInitially, both hands point to the number 12. The clock performs a sequence of hand movements so that on each movement... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGmAaYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "608",
"style": "rule"
} | {
"answer": "608",
"index": 145,
"question": "The following analog clock has two hands that can move independently of each other.\n<image1>\nInitially, both hands point to the number 12. The clock performs a sequence of hand movements so that on each movement, one of the two hands moves clockwise to the next numb... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: The 8 corners of the shape in the picture are to be labelled with the numbers 1, 2, 3 or 4 , so that the numbers at the ends of each of the lines shown are different. How often does the number 4 appear on ... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGuAZoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 146,
"question": "The 8 corners of the shape in the picture are to be labelled with the numbers 1, 2, 3 or 4 , so that the numbers at the ends of each of the lines shown are different. How often does the number 4 appear on the shape?\n<image1>",
"split": "test",
"task": "combinatoric... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: Each of the five numbers 1, 4, 7, 10, and 13 is placed in one of the five squares so that the sum of the three numbers in the horizontal row equals the sum of the three numbers in the vertical column. The ... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAIgAiEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "24",
"style": "rule"
} | {
"answer": "24",
"index": 147,
"question": "Each of the five numbers 1, 4, 7, 10, and 13 is placed in one of the five squares so that the sum of the three numbers in the horizontal row equals the sum of the three numbers in the vertical column. The largest possible value for the horizontal or vertical sum is\n\n... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: In chess, a knight can move by jumping to any square whose center is $\\sqrt{5}$ units away from the center of the square that it is currently on. For example, a knight on the square marked by the horse in... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCADEAMcDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "54",
"style": "rule"
} | {
"answer": "54",
"index": 148,
"question": "In chess, a knight can move by jumping to any square whose center is $\\sqrt{5}$ units away from the center of the square that it is currently on. For example, a knight on the square marked by the horse in the diagram below can move to any of the squares marked with an... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: A Sudoku matrix is defined as a $ 9\\times9$ array with entries from $ \\{1, 2, \\ldots , 9\\}$ and with the constraint that each row, each column, and each of the nine $ 3 \\times 3$ boxes that tile the a... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAIsAiwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "$\\frac{2}{21}$",
"style": "rule"
} | {
"answer": "$\\frac{2}{21}$",
"index": 149,
"question": "A Sudoku matrix is defined as a $ 9\\times9$ array with entries from $ \\{1, 2, \\ldots , 9\\}$ and with the constraint that each row, each column, and each of the nine $ 3 \\times 3$ boxes that tile the array contains each digit from $ 1$ to $ 9$ exactly ... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: How many different ways can you follow from point $A$ to point $B$ if you you can go only down, right or down diagonally by the sides of small triangles?\n You FIRST think about the reasoning process as a... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFRAagDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "90",
"style": "rule"
} | {
"answer": "90",
"index": 150,
"question": "How many different ways can you follow from point $A$ to point $B$ if you you can go only down, right or down diagonally by the sides of small triangles?\n<image1>",
"split": "test",
"task": "combinatorics"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Cuthbert is going to make a cube with each face divided into four squares. Each square must have one shape drawn on it; either a cross, a triangle or a circle. Squares that shar... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEVARYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "E",
"style": "rule"
} | {
"answer": "E",
"index": 151,
"question": "Cuthbert is going to make a cube with each face divided into four squares. Each square must have one shape drawn on it; either a cross, a triangle or a circle. Squares that share an edge must have different shapes on them. One possible cube is shown in the diagram. Whic... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Julia puts the nine chips on the right in a box. She then takes one chip at a time, without looking, and notes down its digit, obtaining, at the end, a number of nine different ... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCADyATEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 152,
"question": "Julia puts the nine chips on the right in a box. She then takes one chip at a time, without looking, and notes down its digit, obtaining, at the end, a number of nine different digits. What is the probability that the number written by Julia is divisible by 45?\n<image1... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: In each of the nine cells of the square we will write down one of the digits 1 , 2 or 3. We will do this in such a way that in each horizontal row and vertical column each of the digits 1, 2 and 3 will be ... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAC3ALkDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"index": 153,
"question": "In each of the nine cells of the square we will write down one of the digits 1 , 2 or 3. We will do this in such a way that in each horizontal row and vertical column each of the digits 1, 2 and 3 will be written. In the upper left cell we will start with 1. How many di... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: How much does this Ferris wheel need to turn so that a white gondola is on top for\nthe first time?\n\nChoices:\n(A) $\\frac{1}{2}$ turn\n(B) $\\frac{1}{3}$ turn\n(C) $\\frac{1}... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFsAUQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 154,
"question": "How much does this Ferris wheel need to turn so that a white gondola is on top for\nthe first time?\n<image1>",
"split": "test",
"task": "arithmetic"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: \nFelix the rabbit has 20 carrots. Every day he eats 2 of them. He has eaten the 12th carrot on a Wednesday. On which day of the week did he start eating the carrots?\nChoices:\... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCADkALEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "E",
"style": "rule"
} | {
"answer": "E",
"index": 155,
"question": "<image1>\nFelix the rabbit has 20 carrots. Every day he eats 2 of them. He has eaten the 12th carrot on a Wednesday. On which day of the week did he start eating the carrots?",
"split": "test",
"task": "arithmetic"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: The picture shows 2 mushrooms. What is the difference between their heights?\n You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHAAX8DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 156,
"question": "The picture shows 2 mushrooms. What is the difference between their heights?\n<image1>",
"split": "test",
"task": "arithmetic"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In a square $2003 \\times 2003$, the squares $1 \\times 1$ on the diagonals are colored (like in the picture, where the square is $7 \\times 7$). How many white squares are ther... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCADzAPoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 157,
"question": "In a square $2003 \\times 2003$, the squares $1 \\times 1$ on the diagonals are colored (like in the picture, where the square is $7 \\times 7$). How many white squares are there?\n<image1>",
"split": "test",
"task": "arithmetic"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: This table shows the quantity of different types of flowers in the botanical garden. Ted was told by the gardener that there were 35 azaleas, 50 irises and 85 roses in the garden. What is the number of ger... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGjAqwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "110",
"style": "rule"
} | {
"answer": "110",
"index": 158,
"question": "This table shows the quantity of different types of flowers in the botanical garden. Ted was told by the gardener that there were 35 azaleas, 50 irises and 85 roses in the garden. What is the number of gerberas growing in the garden?\n<image1>",
"split": "test",
"... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: What time is it now, if after 6 hours and 30 minutes the clock will show 4:00?\n\nChoices:\n(A) 10:00\n(B) 10:30\n(C) 2:30\n(D) 22:10\n(E) 21:30 You FIRST think about the reaso... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCACyAUQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "E",
"style": "rule"
} | {
"answer": "E",
"index": 159,
"question": "What time is it now, if after 6 hours and 30 minutes the clock will show 4:00?\n<image1>",
"split": "test",
"task": "arithmetic"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the diagram below two neighbouring squares are never allowed to have the same number. Which puzzle piece has to be placed in the gap so that this rule is followed?\n\n<image2... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAKABpMDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 160,
"question": "In the diagram below two neighbouring squares are never allowed to have the same number. Which puzzle piece has to be placed in the gap so that this rule is followed?\n<image1>\n<image2>",
"split": "test",
"task": "arithmetic"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: A belt can be joined together in 5 different ways.\n\nHow many $\\mathrm{cm}$ is the belt longer if it is only closed in the first hole instead of in all 5 holes?\n<image2>\nCho... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAKXBOYDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 161,
"question": "A belt can be joined together in 5 different ways.\n<image1>\nHow many $\\mathrm{cm}$ is the belt longer if it is only closed in the first hole instead of in all 5 holes?\n<image2>",
"split": "test",
"task": "arithmetic"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: Amira is traveling from Atown to Betown and passes by two indicative signs along the road. One of them has a hidden number. What is this number?\n You FIRST think about the reasoning process as an interna... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEEAg0DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "7",
"style": "rule"
} | {
"answer": "7",
"index": 162,
"question": "Amira is traveling from Atown to Betown and passes by two indicative signs along the road. One of them has a hidden number. What is this number?\n<image1>",
"split": "test",
"task": "arithmetic"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: There are rectangular cards divided into 4 equal cells with different shapes drawn in each cell. Cards can be placed side by side only if the same shapes appear in adjacent cel... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAL9BnwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "E",
"style": "rule"
} | {
"answer": "E",
"index": 163,
"question": "There are rectangular cards divided into 4 equal cells with different shapes <image1> drawn in each cell. Cards can be placed side by side only if the same shapes appear in adjacent cells on their common side. 9 cards are used to form a rectangle as shown in the figure.... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: There are three paths running through our park in the city (see diagram). A tree is situated in the centre of the park. What is the minimum number of trees that have to be planted additionally so that ther... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFNAVADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "3",
"style": "rule"
} | {
"answer": "3",
"index": 164,
"question": "There are three paths running through our park in the city (see diagram). A tree is situated in the centre of the park. What is the minimum number of trees that have to be planted additionally so that there are the same number of trees on either side of each path?\n<ima... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: Every night the wizard Tilim makes the weather forecast for the king. When Tilim gets it right he gets 3 gold coins, but when he makes a mistake, he pays a fine of 2 gold coins. After making the prediction... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAF/AgADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"index": 165,
"question": "Every night the wizard Tilim makes the weather forecast for the king. When Tilim gets it right he gets 3 gold coins, but when he makes a mistake, he pays a fine of 2 gold coins. After making the prediction for 5 days, Tilim did the math and discovered that he neither wo... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Maria colours exactly 5 cells of this grid in grey. Then she has her 5 friends guess which cells she has coloured in and their answers are the five patterns $A, B, C, D$ and $E... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAIcBhgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "E",
"style": "rule"
} | {
"answer": "E",
"index": 166,
"question": "Maria colours exactly 5 cells of this grid <image1> in grey. Then she has her 5 friends guess which cells she has coloured in and their answers are the five patterns $A, B, C, D$ and $E$. Maria looks at the patterns and says: \"One of you is right. The others have each ... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: The numbers from 1 to 11 are written in the empty hexagons. The sums of the three numbers in three hexagons with a common bold point are always equal. Three of the eleven numbers are already written in (se... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEiAY8DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "9",
"style": "rule"
} | {
"answer": "9",
"index": 167,
"question": "The numbers from 1 to 11 are written in the empty hexagons. The sums of the three numbers in three hexagons with a common bold point are always equal. Three of the eleven numbers are already written in (see diagram). Which number is written in the hexagon with the quest... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: \n\nFive cards are lying on a table as shown. Each card has a letter on one side and a whole number on the other side. Jane said, \"If a vowel is on one side of any card, then... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAG8AiEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 168,
"question": "<image1>\n\nFive cards are lying on a table as shown. Each card has a letter on one side and a whole number on the other side. Jane said, \"If a vowel is on one side of any card, then an even number is on the other side.\" Mary showed Jane was wrong by turning over o... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: 5 friends talk about their collected . Xenia says: \"I have an even number of pins\", Zach: \"Half of my pins are planets, Sue: \"I don't have any moons\", Paul: \"I have more m... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHyBmIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "E",
"style": "rule"
} | {
"answer": "E",
"index": 169,
"question": "5 friends talk about their collected <image1>. Xenia says: \"I have an even number of pins\", Zach: \"Half of my pins are planets, Sue: \"I don't have any moons\", Paul: \"I have more moons than stars\" and Yvonne: \"I have more stars than planets\". Below are the colle... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: The picture shows the five houses of five friends and their school. The school is the largest building in the picture. To go to school, Doris and Ali walk past Leo's house. Eva ... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCALEBlQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 170,
"question": "The picture shows the five houses of five friends and their school. The school is the largest building in the picture. To go to school, Doris and Ali walk past Leo's house. Eva walks past Chole's house. Which is Eva's house?\n<image1>\n<image2>",
"split": "test",
"t... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: Some of the small squares on each of the square transparencies have been coloured black. If you slide the three transparencies on top of each other, without lifting them from the table, a new pattern can b... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCADiAiUDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "8",
"index": 171,
"question": "Some of the small squares on each of the square transparencies have been coloured black. If you slide the three transparencies on top of each other, without lifting them from the table, a new pattern can be seen. What is the maximum number of black squares which could b... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Each of the nets of a cube has a line drawn on. For which net does the line form a closed loop when the net is folded up to make a cube?\n\nChoices:\n(A) A\n(B) B\n(C) C\n(D) D\... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAEXBzgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 172,
"question": "Each of the nets of a cube has a line drawn on. For which net does the line form a closed loop when the net is folded up to make a cube?\n<image1>",
"split": "test",
"task": "descriptive geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: The faces of a die are either white, grey or black. Opposite faces are always a different colour. Which of the following nets does not belong to such a die?\n\nChoices:\n(A) A\n... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFOBvkDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "E",
"style": "rule"
} | {
"answer": "E",
"index": 173,
"question": "The faces of a die are either white, grey or black. Opposite faces are always a different colour. Which of the following nets does not belong to such a die?\n<image1>",
"split": "test",
"task": "descriptive geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: lines are drawn on a piece of paper and some of the lines are given numbers. The paper is cut along some of these lines and then folded as shown in the picture. Along which line... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAOYArwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 174,
"question": "lines are drawn on a piece of paper and some of the lines are given numbers. The paper is cut along some of these lines and then folded as shown in the picture. Along which lines were the cuts made?\n<image1>\n<image2>",
"split": "test",
"task": "descriptive geometr... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Christoph folds a see-through piece of foil along the dashed line. What can he then see?\n\n<image2>\nChoices:\n(A) A\n(B) B\n(C) C\n(D) D\n(E) E You FIRST think about the reas... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAKQBlQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 175,
"question": "Christoph folds a see-through piece of foil along the dashed line. What can he then see?\n<image1>\n<image2>",
"split": "test",
"task": "descriptive geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: The diagram shows a net of a cube, with three dotted lines added. If you folded the net into a cube and then cut along the dotted lines you would have a hole in the cube. What w... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFDAaoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 176,
"question": "The diagram shows a net of a cube, with three dotted lines added. If you folded the net into a cube and then cut along the dotted lines you would have a hole in the cube. What would be the shape of the hole? <image1>",
"split": "test",
"task": "descriptive geometry"... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Leon has drawn a closed loop on the surface of a cuboid.\nWhich net cannot show his loop? \nChoices:\n(A) A\n(B) B\n(C) C\n(D) D\n(E) E You FIRST think about the reasoning proc... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCADiBngDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 177,
"question": "Leon has drawn a closed loop on the surface of a cuboid.\nWhich net cannot show his loop? <image1>",
"split": "test",
"task": "descriptive geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: The kangaroos $A, B, C, D$ and $E$ sit in this order in a clockwise direction around a round table. After a bell sounds all but one kangaroo change seats with a neighbour. After... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFWAXADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 178,
"question": "The kangaroos $A, B, C, D$ and $E$ sit in this order in a clockwise direction around a round table. After a bell sounds all but one kangaroo change seats with a neighbour. Afterwards they sit in the following order in a clockwise direction: A, E, B, D, C. Which kangaroo... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: The rooms in Kanga's house are numbered. Eva enters the house through the main entrance. Eva has to walk through the rooms in such a way that each room that she enters has a num... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAJxAdcDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 179,
"question": "The rooms in Kanga's house are numbered. Eva enters the house through the main entrance. Eva has to walk through the rooms in such a way that each room that she enters has a number higher than the previous one. Through which door does Eva leave the house?\n<image1>",
... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: On a pond 16 lilly pads are arranged in a $4 \\times 4$ grid as can be seen in the diagram. A frog sits on a lilly pad in one of the corners of the grid (see picture). The frog jumps from one lilly pad to ... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFlAV0DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "16",
"style": "rule"
} | {
"answer": "16",
"index": 180,
"question": "On a pond 16 lilly pads are arranged in a $4 \\times 4$ grid as can be seen in the diagram. A frog sits on a lilly pad in one of the corners of the grid (see picture). The frog jumps from one lilly pad to another horizontally or vertically. In doing so he always jumps ... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Prab painted each of the eight circles in the diagram red, yellow or blue such that no two circles that are joined directly were painted the same colour. Which two circles must ... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCADgAdwDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 181,
"question": "Prab painted each of the eight circles in the diagram red, yellow or blue such that no two circles that are joined directly were painted the same colour. Which two circles must have been painted the same colour? <image1>",
"split": "test",
"task": "graph theory"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: A squirrel is following the paths of labyrinth and collecting food for winter. Which stuff it will not be able to take?\n\nChoices:\n(A) A\n(B) B\n(C) C\n(D) D\n(E) E You FIRST... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCARWBPQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"index": 182,
"question": "A squirrel is following the paths of labyrinth and collecting food for winter. Which stuff it will not be able to take?\n<image1>",
"split": "test",
"task": "graph theory"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: Hanni wants to colour in the circles in the diagram. When two circles are connected by a line they should have different colours. What is the minimum number of colours she needs?\n You FIRST think about t... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFmAZsDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "3",
"style": "rule"
} | {
"answer": "3",
"index": 183,
"question": "Hanni wants to colour in the circles in the diagram. When two circles are connected by a line they should have different colours. What is the minimum number of colours she needs?\n<image1>",
"split": "test",
"task": "graph theory"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: In the diagram, $D$ and $E$ are the midpoints of $\\overline{AB}$ and $\\overline{BC}$ respectively. Determine the area of quadrilateral $DBEF$. You FIRST think about the reasoning process as an interna... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAfJCdgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "8",
"index": 184,
"question": "In the diagram, $D$ and $E$ are the midpoints of $\\overline{AB}$ and $\\overline{BC}$ respectively. Determine the area of quadrilateral $DBEF$. <image1>",
"split": "test",
"task": "analytic geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: When the ant walks from home <image2> along the arrows $\\rightarrow 3, \\uparrow 3, \\rightarrow 3, \\uparrow 1$, he gets to the ladybird <image3>.\nWhich animal does the ant ... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAbuBWcDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 185,
"question": "When the ant <image1> walks from home <image2> along the arrows $\\rightarrow 3, \\uparrow 3, \\rightarrow 3, \\uparrow 1$, he gets to the ladybird <image3>.\nWhich animal does the ant <image1> get to when he walks from home <image2> along the following arrows: $\\right... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: The area in square units of the region enclosed by parallelogram $ABCD$ is\n\n You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGiAuMDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "8",
"index": 186,
"question": "The area in square units of the region enclosed by parallelogram $ABCD$ is\n\n<image1>",
"split": "test",
"task": "analytic geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: A naughty pup grabs the end of a roll of toilet paper and walks away at a constant speed. Which of the functions below best describes the thickness $y$ of the roll as a function... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAMABq4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "E",
"style": "rule"
} | {
"answer": "E",
"index": 187,
"question": "A naughty pup grabs the end of a roll of toilet paper and walks away at a constant speed. Which of the functions below best describes the thickness $y$ of the roll as a function of the unrolled part $x$?\n<image1>\n<image2>",
"split": "test",
"task": "analytic geome... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: The curve in the diagram is defined by the equation\n$$\n\\left(x^{2}+y^{2}-2 x\\right)^{2}=2\\left(x^{2}+y^{2}\\right)\n$$\nWhich of the lines $a, b, c, d$ is the $y$-axis?\n\n... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHXAc8DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 188,
"question": "The curve in the diagram is defined by the equation\n$$\n\\left(x^{2}+y^{2}-2 x\\right)^{2}=2\\left(x^{2}+y^{2}\\right)\n$$\nWhich of the lines $a, b, c, d$ is the $y$-axis?\n<image1>",
"split": "test",
"task": "analytic geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: The point $A(3,3)$ is reflected across the $x$-axis to $A^{'}$. Then $A^{'}$ is translated two units to the left to $A^{''}$. The coordinates of $A^{''}$ are $(x,y)$. What is the value of $x+y$? You FIRS... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAndCdgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "-2",
"style": "rule"
} | {
"answer": "-2",
"index": 189,
"question": "The point $A(3,3)$ is reflected across the $x$-axis to $A^{'}$. Then $A^{'}$ is translated two units to the left to $A^{''}$. The coordinates of $A^{''}$ are $(x,y)$. What is the value of $x+y$? <image1>",
"split": "test",
"task": "analytic geometry"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: How often in a day does a digital clock display four identical digits? The picture shows a digital clock that is displaying exactly two different digits.\n\nChoices:\n(A) 1 time... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCADQARsDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 190,
"question": "How often in a day does a digital clock display four identical digits? The picture shows a digital clock that is displaying exactly two different digits.\n<image1>",
"split": "test",
"task": "counting"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: How many of the hands pictured show a right hand?\n You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <t... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAI8AlcDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"index": 191,
"question": "How many of the hands pictured show a right hand?\n<image1>",
"split": "test",
"task": "counting"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: There are more grey squares than white. How many more?\n You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed with... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGtAbkDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "9",
"style": "rule"
} | {
"answer": "9",
"index": 192,
"question": "There are more grey squares than white. How many more?\n<image1>",
"split": "test",
"task": "counting"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Florian has 10 equally long metal strips with equally many holes.\n\nHe bolts the metal strips together in pairs. Now he has five long strips (see the diagram).\n<image2>\nWhich... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCASmBXIDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"index": 193,
"question": "Florian has 10 equally long metal strips with equally many holes.\n<image1>\nHe bolts the metal strips together in pairs. Now he has five long strips (see the diagram).\n<image2>\nWhich of the long strips is the shortest?",
"split": "test",
"task": "counting"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: The water level in a port rises and falls on a certain day as shown in the diagram. How many hours on that day was the water level over $30 \\mathrm{~cm}$?\n You FIRST think about the reasoning process as... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAHrA+EDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "13",
"style": "rule"
} | {
"answer": "13",
"index": 194,
"question": "The water level in a port rises and falls on a certain day as shown in the diagram. How many hours on that day was the water level over $30 \\mathrm{~cm}$?\n<image1>",
"split": "test",
"task": "statistics"
} |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Martin's smartphone displays the diagram on the right. It shows how long he has worked with four different apps in the previous week. The apps are sorted from top to bottom acco... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCALVBfkDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "E",
"style": "rule"
} | {
"answer": "E",
"index": 195,
"question": "Martin's smartphone displays the diagram on the right. It shows how long he has worked with four different apps in the previous week. The apps are sorted from top to bottom according to the amount of time they have been used. This week he has spent only half the amount ... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: $\\textbf{Juan's Old Stamping Grounds}$\nJuan organizes the stamps in his collection by country and by the decade in which they were issued. The prices he paid for them at a stamp shop were: Brazil and Fr... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAFjAw4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "24",
"style": "rule"
} | {
"answer": "24",
"index": 196,
"question": "$\\textbf{Juan's Old Stamping Grounds}$\nJuan organizes the stamps in his collection by country and by the decade in which they were issued. The prices he paid for them at a stamp shop were: Brazil and France, 6 cents each, Peru 4 cents each, and Spain 5 cents each. ... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: On each horizontal line in the figure below, the five large dots indicate the populations of cities $A$, $B$, $C$, $D$ and $E$ in the year indicated. Which city had the greates... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAD6BCgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"index": 197,
"question": "On each horizontal line in the figure below, the five large dots indicate the populations of cities $A$, $B$, $C$, $D$ and $E$ in the year indicated. Which city had the greatest percentage increase in population from 1970 to 1980?\n\n<image1>",
"split": "test",
"ta... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Amelia has a paper strip with five equal cells containing different drawings, according to the figure. She folds the strip in such a way that the cells overlap in five layers. W... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAGQBq0DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"index": 198,
"question": "Amelia has a paper strip with five equal cells containing different drawings, according to the figure. She folds the strip in such a way that the cells overlap in five layers. Which of the sequences of layers, from top to bottom, is not possible to obtain?\n<image1>\n<i... |
MathVision | [
{
"content": "<image> Hint: Please answer the question and provide the final answer at the end.\nQuestion: How many fish will have their heads pointing towards the ring when we straighten the line?\n You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The rea... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAG1AzcDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math-reasoning | {
"ground_truth": "6",
"style": "rule"
} | {
"answer": "6",
"index": 199,
"question": "How many fish will have their heads pointing towards the ring when we straighten the line?\n<image1>",
"split": "test",
"task": "topology"
} |
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