data_source stringclasses 12
values | prompt listlengths 1 1 | images listlengths 1 6 | ability stringclasses 3
values | reward_model dict | extra_info dict |
|---|---|---|---|---|---|
TIGER-Lab/ViRL39K | [
{
"content": "In the figure, O is the center of the circle, and the radius OC is perpendicular to chord AB at point D. If AB = 8 and OB = 5, what is the length of OD?\nThe above problem is with the following images:\n<image> You FIRST think about the reasoning process as an internal monologue and then provide t... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAHgAAACECAIAAADUVnjnAAARoklEQVR4nO2dfUwTZxzHn6smSqypZmUe80LX0bjTkXiGZJ5ZsTJgYEYJCZptETdJzDDZlkhmncmW4BY2UUwGW80At4HbGWuEYAZGHO1okzoxNYM/cO3CncLKTAkuYqwZLLTP/nj0PK+v9L0dnz/g+tzT53793u+e9+c5DEII4gOEEMOwyL578+bNqampa9eucRzndDpR4MTExOTkJB9HpVKtX78eHSuVSoVCUVhYuH79epIko7Q8HmDxE3pR... | math | {
"ground_truth": "\\boxed{3}",
"style": "rule"
} | {
"answer": "\\boxed{3}",
"index": 9943,
"qa_type": "FRQ",
"question": "In the figure, O is the center of the circle, and the radius OC is perpendicular to chord AB at point D. If AB = 8 and OB = 5, what is the length of OD?\nThe above problem is with the following images:\n<image>",
"split": "train",
"uid"... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nAs shown in the figure, in the isosceles trapezoid $$ABCD$$, $$AC \\bot BD$$, $$AC = 6 \\text{ cm}$$, then the area of the isosceles trapezoid $$ABCD$$ is ___ $$\\text{cm}^2$$. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reas... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQUAAAC/CAYAAAD3sMk2AADdXUlEQVR4nIT9Z3ccx5IuCj9ZVd0N7wkCBL0HvZFEihKN3GxJe/bMPjNz7r3/4b1/68yZNWvMnT1ylKUTKVK0oge9t6IBCKBdVb4fsiLrqejCPrUWCLC7KiszMswTkZGR5uWr1zYIAgRBAACI4xiNRgPGGARBgDAMYYyBMQbWWiRJAmMMms2m/x7WIjABYC0AwFoLay3iOPZ/yyXtInC/G82mb9MY4583xri2qT1L7Ut/4jhGHMcAgDAMEQRB... | math | {
"ground_truth": "\\boxed{18}",
"style": "rule"
} | {
"answer": "\\boxed{18}",
"index": 9944,
"qa_type": "FRQ",
"question": "<image>\nAs shown in the figure, in the isosceles trapezoid $$ABCD$$, $$AC \\bot BD$$, $$AC = 6 \\text{ cm}$$, then the area of the isosceles trapezoid $$ABCD$$ is ___ $$\\text{cm}^2$$.",
"split": "train",
"uid": "math_09944_73564a4a"
... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nAs shown in the figure, AD is the median of △ABC, ∠ADC = 60°, BC = 6. When △ADC is folded along the line AD, point C lands at point C'. Connecting BC', the length of BC' is ______. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The ... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAVQAAADcCAIAAACgZM7jAABJpklEQVR4nO29SZPiWJb+fYQAMYM7PsRYlZ1Wbd1m1darXvb33/S6rKsrq8wqY/CJUSAkAZLuu/i9Ov8bRIZnhDsOjqNnEUaAXNKV7rn3jM9xjDFSoECB40Np3zdQoECB/aAQ/gIFjhSF8BcocKQohL9AgSNFIfwFChwpCuEvUOBIUQh/gQJHikL4CxQ4UhTCX6DAkaIQ/gIFjhSF8BcocKQohL9AgSNFIfwFChwpCuEvUOBIUQh/gQJHikL4... | math | {
"ground_truth": "\\boxed{3}",
"style": "rule"
} | {
"answer": "\\boxed{3}",
"index": 9945,
"qa_type": "FRQ",
"question": "<image>\nAs shown in the figure, AD is the median of △ABC, ∠ADC = 60°, BC = 6. When △ADC is folded along the line AD, point C lands at point C'. Connecting BC', the length of BC' is ______.",
"split": "train",
"uid": "math_09945_4a25379... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nWhat is the average number of cracked window panes per shipment? 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> </think> tags. The final answer MUST BE put in \\boxed{}.",
"r... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCACIARoDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math | {
"ground_truth": "\\boxed{79.27}",
"style": "rule"
} | {
"answer": "\\boxed{79.27}",
"index": 9946,
"qa_type": "FRQ",
"question": "<image>\nWhat is the average number of cracked window panes per shipment?",
"split": "train",
"uid": "math_09946_143d9dd4"
} |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nFor any real number a, [a] represents the greatest integer not exceeding a, such as [2]=2, [3.7]=3. Now, perform the following operation on 72: . In this way, it only takes 3 operations for 72 to become 1. Similarly, it only takes operations for 109 to become 1. You FIRST think about the ... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAASoAAAAfCAIAAADfmBfSAAAXu0lEQVR4nO2ceXBT19XAr3ZLlm28RBgbDJaXBMsbDgVjHEwaBwNhK9OkNJ0Gl2ZM6rSFKfmmnSmdaWe+GVpDOg6Z0NI2TekkMyEFCm0xCZMSCISwNOAdY8mSbO3Le9qlp7fd748TPwQ2Rrb5Ptr5dP7wSI/37vJ755x77jlXiDDGKCUpScmjEPGjHkBKUvL/V1Lml5KUPDJJmV9KUvLIJGV+KUnJI5OU+aUkJY9MUuaXkpQ8MkmZX0pS8sgk... | math | {
"ground_truth": "\\boxed{3}",
"style": "rule"
} | {
"answer": "\\boxed{3}",
"index": 9947,
"qa_type": "FRQ",
"question": "<image>\nFor any real number a, [a] represents the greatest integer not exceeding a, such as [2]=2, [3.7]=3. Now, perform the following operation on 72: . In this way, it only takes 3 operations for 72 to become 1. Similarly, it only takes ... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nOne of the methods for resource utilization of $$H_{2}S$$ waste gas is to recover energy and obtain elemental sulfur. The reaction principle is: $$2H_{2}S\\left ( g\\right ) +O_{2}\\left ( g\\right ) =S_{2}\\left ( s\\right ) +2H_{2}O\\left ( l\\right ) \\ \\Delta H=-632kJ\\cdot mol^{-1}$... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAK4AAACZCAYAAAC2cwH7AACSTUlEQVR4nNz9d5Rd93XfDX9Ou+fcOnfu3KnAFPRKdBAECRJgAymKxSwqFCVLsmrk2HHiJ1H8JnmSrJUnKyt5HT2OJVqWbEuyKqtkkRSrCBIgARAgUYhGtEGdXm8vp71//M45c2cwaCTkOO9e62IGd+49dZ/92+W7v1uqWI6LJ64b/IokSTU/Xe/vTvB+7Xf8V61M/r4QWZaDz/k/az9X+57jODiOE/xfluVJ/58q0703ndTuQ5ZlgGBfsixf... | math | {
"ground_truth": "\\boxed{D}",
"style": "rule"
} | {
"answer": "\\boxed{D}",
"index": 9948,
"qa_type": "FRQ",
"question": "<image>\nOne of the methods for resource utilization of $$H_{2}S$$ waste gas is to recover energy and obtain elemental sulfur. The reaction principle is: $$2H_{2}S\\left ( g\\right ) +O_{2}\\left ( g\\right ) =S_{2}\\left ( s\\right ) +2H_{... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nAccording to the pseudocode shown below, when the inputs $$a$$ and $$b$$ are $$2$$ and $$3$$ respectively, the final value of $$m$$ that is output is ___. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE ... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAGjCAIAAACngyU3AAEAAElEQVR4nOz9d3Bd150nDp5z8305IicCIMGcJUqMEinZCrYl2dZKtqc97enknpqZnqmZ3a7q2qma3arfVu38tmY7d6/ddqtt98hykGXJgRKpSJqkmEmQYABI5Ay8/N7N9+wfX7yji/fwQAJ8IAASH6voh4eLc88995xvDtiyLDQrMMb0X4QQIaTUZbZtm6aJMeY4Dn60LItlWecI8OeEEIZhZhyn1Pilvp/rOKVgWRbHcfABIcSyLELINE2G... | math | {
"ground_truth": "\\boxed{3}",
"style": "rule"
} | {
"answer": "\\boxed{3}",
"index": 9949,
"qa_type": "FRQ",
"question": "<image>\nAccording to the pseudocode shown below, when the inputs $$a$$ and $$b$$ are $$2$$ and $$3$$ respectively, the final value of $$m$$ that is output is ___.",
"split": "train",
"uid": "math_09949_f1fa090a"
} |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nThe following shapes that have stability are ______ (fill in the code). 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> </think> tags. The final answer MUST BE put in \\boxed{}.",... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAdgAAAAzCAIAAAC7T447AAA0oklEQVR4nO1dd3xUVdo+0yczk04SCCUsEAEpQQLSxIDSAwi4CKigrFTxww8bdQFZwqeLoKBSQsIioFmUlSqCQhCUHmBhCYFAloSQnkyvd+695/vj2Tl7mRQhq7Amef7I7+bOue2c877nPW+VUUpJNRBFUS6XO53OgIAAmUxms9kCAwMppTKZDA0EQRBFkRAil8sVCgUuwRmZTCaXy2UymSAIMh+qe1Dlh+KAXUUpxXOlN6GUiqLI87xGoyGE... | math | {
"ground_truth": "\\boxed{(2)(3)}",
"style": "rule"
} | {
"answer": "\\boxed{(2)(3)}",
"index": 9950,
"qa_type": "FRQ",
"question": "<image>\nThe following shapes that have stability are ______ (fill in the code).",
"split": "train",
"uid": "math_09950_99648a2b"
} |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nAs shown in the figure, the mass of block A is 1 kg, and the mass of block B is 2 kg, stacked on a horizontal ground. The maximum static friction force between A and B is 1 N, and the coefficient of kinetic friction between B and the ground is 0.1. Now, a horizontal force F is applied to ... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAtIAAAHVCAIAAABT5YvYAAEAAElEQVR4nLT9a5MsyXEdirpHVnXvPTN4kBAhgSIl6sHDY5Tp//8OmZF2dS9JCCRAzEB4Deaxd3dXZfj94JWrViyPzO6BzgkD9mRnRXr4Ozw8Xv75754iwswioveOZzNzdzPDy2VZWmsvzxd3b61lNXfPP3vv+DC/zc/dPbaCyvlTtth7z/fLsrj7cmrruq7rijdZbVmW6/V6vV6zIQBZlsVm5Xw+o7lsK8t67XhO0gS3LCD/1QIyb8QubmaJ... | math | {
"ground_truth": "\\boxed{D}",
"style": "rule"
} | {
"answer": "\\boxed{D}",
"index": 9951,
"qa_type": "FRQ",
"question": "<image>\nAs shown in the figure, the mass of block A is 1 kg, and the mass of block B is 2 kg, stacked on a horizontal ground. The maximum static friction force between A and B is 1 N, and the coefficient of kinetic friction between B and t... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nAfter executing the program flowchart shown in the figure, if the input and output are $$4$$ and $$101$$ respectively, then $$m=$$ ___. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <th... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAALIAAADkCAYAAAA8XX6CAACINElEQVR4nOy9eZxUd5X3/75r7VvvNM3W7AESSEJICAGyE8xiErckZtRHndF5HkcdHWecxcfHWVzGUWdxYtxG/anZNTE72chGCEtIQggQIOxNN71Vde11t98f37rfrm6WBgEDhsOrXtV0dVXdunXu+Z7vOZ/z+Si263gcwhRFOdRDAHjeIZ/6B3m+goLrubju4K32eYZhHPb5qqKK48A76PH4r+f/XlEUeat9fPhxDn+d2uccjakc/XPeraa/... | math | {
"ground_truth": "\\boxed{10}",
"style": "rule"
} | {
"answer": "\\boxed{10}",
"index": 9952,
"qa_type": "FRQ",
"question": "<image>\nAfter executing the program flowchart shown in the figure, if the input and output are $$4$$ and $$101$$ respectively, then $$m=$$ ___.",
"split": "train",
"uid": "math_09952_eeb773fd"
} |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nAs shown in the figure, $BC \\perp AE$, with the foot of the perpendicular at $C$. A line through $C$ is drawn parallel to $AB$, and if $\\angle ECD = 43{}^\\circ$, then $\\angle B$ is: You FIRST think about the reasoning process as an internal monologue and then provide the final answer.... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJcAAABuCAYAAAAqAoGoAAAL2ElEQVR4nO2dTWwTZxrH/0NWzYXFrtSCK1ASyAeB5OCyPbSiKF5hJ7YqLY5U1CBUqWx3hbCR+Ei6oiu0YaseEHW+1CRbiVYJ5QBdUjKOAjGxaYNIeunBkerYFEg2UXuwJQ51lUp4F8+zh2ScL5LYsWdee/z+pBx4PWP+Cj/ed2Y07/MIRETgqIKzVkC39zkfWE6AhrtVz6M0m1gHyCe6hgkOC9AfkEBEICIERBcsu8tYR1MELpeKEIL4EU7Y... | math | {
"ground_truth": "\\boxed{47^\\circ}",
"style": "rule"
} | {
"answer": "\\boxed{47^\\circ}",
"index": 9953,
"qa_type": "FRQ",
"question": "<image>\nAs shown in the figure, $BC \\perp AE$, with the foot of the perpendicular at $C$. A line through $C$ is drawn parallel to $AB$, and if $\\angle ECD = 43{}^\\circ$, then $\\angle B$ is:",
"split": "train",
"uid": "math_... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>Two magnets are placed as shown.\n\nHint: Magnets that attract pull together. Magnets that repel push apart.\n\nWill these magnets attract or repel each other?\nA. repel\nB. attract You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The r... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAgoAAAA1CAIAAACvEFRTAAAFGklEQVR4nO3db2hVdRzH8c+5O9dtd1PTq1OU2rTMCVuSxg0zAptEuVqZ/TMbFgQRFdVm/2D0oAaRTntQIrGIJMEnJkJasSGWKdaCSdZsmTYzpthVmTW5u7t/Tg82WerP8P7Bc854vx5uv7Ev9373/ezc372/Y41vj8XSwkX6OxYGnaTbVXhP035ZAbeLQLactJpvdrsIz0lYdmlkr9tVeE5xQAHH7SK8yXK7AK+iX3yNp8+AB8XIkfhPEABg... | math | {
"ground_truth": "\\boxed{A}",
"style": "rule"
} | {
"answer": "\\boxed{A}",
"index": 9954,
"qa_type": "FRQ",
"question": "<image>Two magnets are placed as shown.\n\nHint: Magnets that attract pull together. Magnets that repel push apart.\n\nWill these magnets attract or repel each other?\nA. repel\nB. attract",
"split": "train",
"uid": "math_09954_84296871... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>/n<image>/nBased on the given images, answer the following question.\n\nIn early 2020, to support the country's fight against the epidemic, everyone stayed at home. In response to the Ministry of Education's call to keep lessons going without stopping, a school conducted online teaching. Th... | [
{
"bytes": "/9j/2wCEAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDIBCQkJDAsMGA0NGDIhHCEyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMv/AABEIAe4FOwMBIgACEQEDEQH/xAGiAAABBQEBAQEBAQAAAAAAAAAAAQIDBAUGBwgJCgsQAAIBAwMCBAMFBQQEAAABfQECAwAEEQUSITFBBhNRYQcicRQy... | math | {
"ground_truth": "\\boxed{D}",
"style": "rule"
} | {
"answer": "\\boxed{D}",
"index": 9955,
"qa_type": "FRQ",
"question": "<image>/n<image>/nBased on the given images, answer the following question.\n\nIn early 2020, to support the country's fight against the epidemic, everyone stayed at home. In response to the Ministry of Education's call to keep lessons goin... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nLook at the picture and list the equation. ______ 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> </think> tags. The final answer MUST BE put in \\boxed{}.",
"role": "user"
... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAWwAAABwCAYAAAA6/ErtAAApfUlEQVR4nO2dd1hUV/7G34GhoyIIIiAWBKRIBCNqsMQodt2IPXaNMWaNGrOaVVeNXaOxE40kGmKMGnuLJfaOXRR7BREEFBCkDvP+/vDHrOwACnPhzuyez/Oc52HuvefMO3eY95577jnfr4IkIRAIBAK9x0huAQKBQCB4N4RhCwQCgYEgDFsgEAgMBGHYAoFAYCAIwxYIBAIDQRi2QCAQGAjCsAUCgcBAEIYtEAgEBoIwbIFAIDAQhGELBAKB... | math | {
"ground_truth": "\\boxed{6+5=11}",
"style": "rule"
} | {
"answer": "\\boxed{6+5=11}",
"index": 9956,
"qa_type": "FRQ",
"question": "<image>\nLook at the picture and list the equation. ______",
"split": "train",
"uid": "math_09956_472cc6b0"
} |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nGiven the quadratic function $y=ax^2+bx+c$ ($a \\ne 0$), the function $y$ and the independent variable $x$ have the following corresponding values as shown in the table, then $4a-2b+c$ = You FIRST think about the reasoning process as an internal monologue and then provide the final answer... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAREAAAA/CAIAAABIJ2srAAA6DUlEQVR4nOV9eZTdRZX/rarv/rZ+3Z2lsxCyQUiAQAgTI8EQiMAMWxAMEoU4gRkWEWEQQUGUURw8joPoGZ2DZ6LgKL8Ag0DYkZCwGRKIgIBADEkn6e4kvb71u1bV74/7XvU33f0a+vkc5zj3aPPy+tv1re3eusvn3iKe52maxhgrFAqJRIJSKqUkhEgpYSQiggAAECkJAIAkIECo31KgAEDxC0mAgO97pm2FYajrehRFmqYVCoVUKlWr/bES... | math | {
"ground_truth": "\\boxed{\\frac{31}{2}}",
"style": "rule"
} | {
"answer": "\\boxed{\\frac{31}{2}}",
"index": 9957,
"qa_type": "FRQ",
"question": "<image>\nGiven the quadratic function $y=ax^2+bx+c$ ($a \\ne 0$), the function $y$ and the independent variable $x$ have the following corresponding values as shown in the table, then $4a-2b+c$ =",
"split": "train",
"uid": "... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>/nBased on the given images, answer the following question.\n\nHow many zero points does the function f(x) = x^{1/2} - (1/2)^{x} have?\\nChoices:\\nA. 0\\nB. 1\\nC. 2\\nD. 3 You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning... | [
{
"bytes": "/9j/2wCEAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDIBCQkJDAsMGA0NGDIhHCEyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMv/AABEIAPABQgMBIgACEQEDEQH/xAGiAAABBQEBAQEBAQAAAAAAAAAAAQIDBAUGBwgJCgsQAAIBAwMCBAMFBQQEAAABfQECAwAEEQUSITFBBhNRYQcicRQy... | math | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"answer": "\\boxed{B}",
"index": 9958,
"qa_type": "FRQ",
"question": "<image>/nBased on the given images, answer the following question.\n\nHow many zero points does the function f(x) = x^{1/2} - (1/2)^{x} have?\\nChoices:\\nA. 0\\nB. 1\\nC. 2\\nD. 3",
"split": "train",
"uid": "math_09958_5a6f9c54"
} |
TIGER-Lab/ViRL39K | [
{
"content": "Respond using only the letter corresponding to the correct answer.\nWhat does the position of the yellow dot in the top right corner of Figure (g) indicate about the state at Θ=45°? Choose from the following options\nA) It represents a corner state with a maximum |P| value.\nB) It signifies a stat... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAN2B+ADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math | {
"ground_truth": "\\boxed{A}",
"style": "rule"
} | {
"answer": "\\boxed{A}",
"index": 9959,
"qa_type": "FRQ",
"question": "Respond using only the letter corresponding to the correct answer.\nWhat does the position of the yellow dot in the top right corner of Figure (g) indicate about the state at Θ=45°? Choose from the following options\nA) It represents a corn... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nThe diagram shows a relatively complex synaptic structure. A sensitive galvanometer measuring potential changes is connected at points a and d. Which of the following analyses is incorrect? ( ). \nA. The structure shown includes 3 neurons and contains 2 synapses.\nB. If B is stimulated, ... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANcAAAB7CAYAAADnoxUgAAA36ElEQVR4nO2dd3SU1b73v9OSmUwykzKpQHojDQglgSQYhIQSVIogkmODI4JCFPAej+sFRbyWqyJ47pWieIADYuGgHhBBCERDFxNID2mElEnPTMr0st8/4rPNMKFmQgrzWYu1yDxtPzP7u+uvsAghBFasWLE47P4ugBUrQxVufxfgQaGtrQ3Hjh3DpUuXUF5eDoVCAS8vL8TExGDatGkICgrq7yJasTAs67Cwb9Hr9di9ezf+9a9/obi4GDKZ... | math | {
"ground_truth": "\\boxed{D}",
"style": "rule"
} | {
"answer": "\\boxed{D}",
"index": 9960,
"qa_type": "FRQ",
"question": "<image>\nThe diagram shows a relatively complex synaptic structure. A sensitive galvanometer measuring potential changes is connected at points a and d. Which of the following analyses is incorrect? ( ). \nA. The structure shown includes 3... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>/n<image>/nBased on the given images, answer the following question.\n\nIn a rectangle ABCD where AB = 12 and AD = 10, the rectangle is folded such that point B falls on the midpoint E of AD. What is the length of the crease FG formed by this folding? You FIRST think about the reasoning pro... | [
{
"bytes": "/9j/2wCEAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDIBCQkJDAsMGA0NGDIhHCEyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMv/AABEIAQEA2QMBIgACEQEDEQH/xAGiAAABBQEBAQEBAQAAAAAAAAAAAQIDBAUGBwgJCgsQAAIBAwMCBAMFBQQEAAABfQECAwAEEQUSITFBBhNRYQcicRQy... | math | {
"ground_truth": "\\boxed{65/6}",
"style": "rule"
} | {
"answer": "\\boxed{65/6}",
"index": 9961,
"qa_type": "FRQ",
"question": "<image>/n<image>/nBased on the given images, answer the following question.\n\nIn a rectangle ABCD where AB = 12 and AD = 10, the rectangle is folded such that point B falls on the midpoint E of AD. What is the length of the crease FG fo... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nQuestion: A mass moves according to the graph of position as a function of time shown below.Which one of the following choices correctly represents the time instants or time interval for which the \ninstantaneous velocity of the mass is considered always to be negative? Let t represent ... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAA9YAAAHuCAYAAAB6X5RbAAEAAElEQVR4nOy9d5gsZZk2fld3hc5h0jlzInAAQVBAQPRz3WRkQYElmvOq+ykiuIuuPze4LhgAhQ93XddrUYJERVZ0VVQkSVBWYAVEDh5Ontw5VXdX/f5onneefqe6p2d65sx0z3tf15wz011dXfXUG577iZrrui4UFBQUFBQUFBQUFBQUFBQWBX2lL2Cp4bouXNeFpmnQNA31eh22baNUKqFSqcAwDMRiMei6jkqlAtd1oes6dF2Hz+cT53Ec... | math | {
"ground_truth": "\\boxed{C}",
"style": "rule"
} | {
"answer": "\\boxed{C}",
"index": 9962,
"qa_type": "FRQ",
"question": "<image>\nQuestion: A mass moves according to the graph of position as a function of time shown below.Which one of the following choices correctly represents the time instants or time interval for which the \ninstantaneous velocity of the m... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nAs shown in the figure, in a grid composed of small squares with side lengths of $$1$$, a circle $$\\odot O$$ with radius $$1$$ is centered at a grid point. The tangent value of $$\\angle AED$$ is ___. You FIRST think about the reasoning process as an internal monologue and then provide t... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIcAAAB6CAYAAACV60DNAAAYvElEQVR4nO2df1SU1brHv9Zdp5M1aIoa+dJpgBcZG0+M1zHqODkqdMXAKyYVIOuA4e1QFzzldA51mwoIg5iphevS1UyTYnQqMbVwhQ4JJQJHYeXhYCM/zhGDpWOHGliMZ2qFz/0DmRiYgfnxvjMvxWct/pj97nfv5515ePfz7P08e08jIsIUUzjgBn8LMIVwmVIOJ+RuDEBAgIO/1Dx/i+Yz/s3fAgiVl8r7ccPGAMS83o+ouUNlVxp0eMbw... | math | {
"ground_truth": "\\boxed{\\dfrac{1}{2}}",
"style": "rule"
} | {
"answer": "\\boxed{\\dfrac{1}{2}}",
"index": 9963,
"qa_type": "FRQ",
"question": "<image>\nAs shown in the figure, in a grid composed of small squares with side lengths of $$1$$, a circle $$\\odot O$$ with radius $$1$$ is centered at a grid point. The tangent value of $$\\angle AED$$ is ___.",
"split": "tra... |
TIGER-Lab/ViRL39K | [
{
"content": "As shown in the figure, the parabola $y=ax^2-2ax-3a$ (where $a$ is a constant and $a<0$) intersects the x-axis at points A and B (point A is to the left of point B), and intersects the y-axis at point C, and $OB=OC$. Find the value of $a$.\n<image> You FIRST think about the reasoning process as an... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAXkAAADTCAYAAABk82MBAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAADsVSURBVHhe7V0HeBRV135T6Qmk0WuQDgJKU6qiiIooKvIJIoiKvVf+z88GYkWRYkFEQMSCNJXeq9JbAAm9JCEgBAghhWT/eS9uSELK7mZnZ2b3nOfJA8nO3PLeO++eOfcUP5smyCX81U/7sf+b+9NLv+W8hr/b... | math | {
"ground_truth": "\\boxed{-1}",
"style": "rule"
} | {
"answer": "\\boxed{-1}",
"index": 9964,
"qa_type": "FRQ",
"question": "As shown in the figure, the parabola $y=ax^2-2ax-3a$ (where $a$ is a constant and $a<0$) intersects the x-axis at points A and B (point A is to the left of point B), and intersects the y-axis at point C, and $OB=OC$. Find the value of $a$.... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nIn a math activity class, a renowned teacher leads students to measure the distance between points A and B on opposite banks of a river. Starting from point A, they walk 10 meters in a direction perpendicular to AB to reach point C. At point C, they measure ∠ACB to be 60° (as shown in the... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAGwAAAB2CAAAAAAIQCnsAAAKTUlEQVR4nL1aa3RTVRb+bnKTtEn6oJXS0hZooaUUkQIFKVIQpZXXmhlQYGaBgiDQQZDBNWuJo13oqIOgowgsROUlI6xBERkEGcqzMrwEaoHa2tIXbWnS9JE2zaPNvblnfqSP0NzTPJq4/+Tcvb9zvrv3OWefxw1D8NuJxD/Ncqiud9ay/iG7s3x0beInTo0T30mTqavY0r9xC1p7AnwZRmN7V7F24O09KwKcED70zEHSpRNZo5PWTwOkMPNq... | math | {
"ground_truth": "\\boxed{17.3}",
"style": "rule"
} | {
"answer": "\\boxed{17.3}",
"index": 9965,
"qa_type": "FRQ",
"question": "<image>\nIn a math activity class, a renowned teacher leads students to measure the distance between points A and B on opposite banks of a river. Starting from point A, they walk 10 meters in a direction perpendicular to AB to reach poin... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nIf two farms are combined, how many horses will be on the combined farm? 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> </think> tags. The final answer MUST BE put in \\boxed{}."... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCADpAXQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math | {
"ground_truth": "\\boxed{20}",
"style": "rule"
} | {
"answer": "\\boxed{20}",
"index": 9966,
"qa_type": "FRQ",
"question": "<image>\nIf two farms are combined, how many horses will be on the combined farm?",
"split": "train",
"uid": "math_09966_67331adb"
} |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nAs shown in the figure, $\\angle BAC = 105^\\circ$. If $MP$ and $NQ$ are the perpendicular bisectors of $AB$ and $AC$ respectively, then $\\angle PAQ$ is _____ degrees. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning pr... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAQEAAACCCAYAAABGv30/AABJKElEQVR4nO2953dT2ba3+ewkbUXLOds4G5wD2WByrHDOuXX7jrf/vO7+cN/RfcKtU4EiGAwY45ywTTKOOGcra4f+IEMFqCKUsQ3oGYOCgi15SXuv35prrhkE0zRNYsSI8dki7vQAYsSIsbPERCBGjM+cmAjEiPGZExOBGDE+c2IiECPGZ05MBGJsP6aJaRg7PYoYm8g7PYAYnxdhv4/J8WcgS2Tv2YNFse/0kD57YpZAjG0jEgjwZHiI9vt3... | math | {
"ground_truth": "\\boxed{30}",
"style": "rule"
} | {
"answer": "\\boxed{30}",
"index": 9967,
"qa_type": "FRQ",
"question": "<image>\nAs shown in the figure, $\\angle BAC = 105^\\circ$. If $MP$ and $NQ$ are the perpendicular bisectors of $AB$ and $AC$ respectively, then $\\angle PAQ$ is _____ degrees.",
"split": "train",
"uid": "math_09967_0372ee9a"
} |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nAs shown in the figure, the quadrilateral $ABCD$ is a square, $BE \\perp EF$, $DF \\perp EF$, with $BE = 2.5 \\, \\text{dm}$, and $DF = 4 \\, \\text{dm}$. What is the length of $EF$? You FIRST think about the reasoning process as an internal monologue and then provide the final answer. Th... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAIsAAAByCAIAAADs5rV5AAAAAXNSR0IArs4c6QAAAAlwSFlzAAAOxAAADsQBlSsOGwAAGwBJREFUeF7tnWXQJEUShm9ZHA6Xxd3dIdDA3d3d3V2CwF0OCNwW11jcHQJ3dw53hwOOe3YfNq9jZr7pnp7umd7l6x8TPT3VJflmZmVmZdX0+fPPP//Re1WYAsNUuG+9XRtIgV6Eqs4HlUMIrdureJNc06eXHBUXosrJUMXp1fnuVVSGkOz/DrqGGWaYvn37dp4u1WmxijIEMH/8... | math | {
"ground_truth": "\\boxed{6.5}",
"style": "rule"
} | {
"answer": "\\boxed{6.5}",
"index": 9968,
"qa_type": "FRQ",
"question": "<image>\nAs shown in the figure, the quadrilateral $ABCD$ is a square, $BE \\perp EF$, $DF \\perp EF$, with $BE = 2.5 \\, \\text{dm}$, and $DF = 4 \\, \\text{dm}$. What is the length of $EF$?",
"split": "train",
"uid": "math_09968_5f1... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nAs shown in the figure, the graphs of the functions $$y=ax+b$$ and $$y=kx$$ intersect at point $$P$$. Based on the graph, the solution to the system of linear equations in two variables $$\\begin{cases}y=ax+b \\\\ y=kx & \\end{cases}$$ is ___. You FIRST think about the reasoning process a... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAK0AAACDCAYAAAD/CZsFAAAVhklEQVR4nO2df1RUx9nHv7OJnsQesKwNGwUFogZMUPEHgZaKKVbIedWAsOxii+8RI/ZYExMwCpEEdgF/oECqDfHUKNSgsiAEaLRGFA6aqBSk0oCRNIr8rmuPnIJNfdFm5/1j2SsrC7rsj7t3mc85/HHvzJ15gO/OPndmnmcIpZSCMWoUcgLlcSCj4By2ygMBAHJCkN1L4eL4sF5VVRXEYjF8fHz4MdSOeJpvA4SOopBiacQu7Pv2H9y9TYU7... | math | {
"ground_truth": "\\boxed{\\begin{cases}x=-4 \\\\ y=-2 & \\end{cases}}",
"style": "rule"
} | {
"answer": "\\boxed{\\begin{cases}x=-4 \\\\ y=-2 & \\end{cases}}",
"index": 9969,
"qa_type": "FRQ",
"question": "<image>\nAs shown in the figure, the graphs of the functions $$y=ax+b$$ and $$y=kx$$ intersect at point $$P$$. Based on the graph, the solution to the system of linear equations in two variables $$\... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>How many links are in this food web? 6\n8\n4\n6\n5\nPlease answer the question based on the options mentioned before. 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> </think> tags. ... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAlAAAAXcCAIAAABiVSc/AAEAAElEQVR4nOz9eZAc13Enjmfme1XV11wABvcNEOB9U6JAHTwkUqRIiZIsWZZkSyv7u7a1uw7bv43vbuwVjnB81xGOjbXDXntXYcmUrWtJUQctiaIOniDBCwRIggAB4sbgGGCAubu7jvcyf39kd6E5A0CgRBEAUZ+goJme7qpXr6rf52XmJzOxXI7iOCmVojTNEMEYm6YpIkwDApzg1QIFChQoUOBsADOXSmGapsYYIsqyTAQQARGNMYhoEREA... | math | {
"ground_truth": "\\boxed{5}",
"style": "rule"
} | {
"answer": "\\boxed{5}",
"index": 9970,
"qa_type": "FRQ",
"question": "<image>How many links are in this food web? 6\n8\n4\n6\n5\nPlease answer the question based on the options mentioned before.",
"split": "train",
"uid": "math_09970_38889f7f"
} |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nWhat is the Europe distribution of Adidas retail net sales in 2020? 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> </think> tags. The final answer MUST BE put in \\boxed{}.",
... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAyAAAAItCAYAAADBmR4CAADE30lEQVR4nOzdeXwb9Z0//teMDsuHfOZ2DpyQQEg4QgrkC4HdsmxDWm+bX3dboJRu2JouacpuQ6FlmwY3pNmyDSW0KQ2H26Sl5SpHaF2ScIQrhHAYA0nIQcC5HDuJHcuWD8mSZn5/SDOakUa2ZEsaSX49+1CxpZnPvCeQZN5+f96fjxAISDK0BECW9W8h4lv1beU4QXMyDM4nIiIiIqKsIgjKQ76s+0f4/cgTQoeFcgFBECLyiOABgpqARJyg... | math | {
"ground_truth": "\\boxed{27}",
"style": "rule"
} | {
"answer": "\\boxed{27}",
"index": 9971,
"qa_type": "FRQ",
"question": "<image>\nWhat is the Europe distribution of Adidas retail net sales in 2020?",
"split": "train",
"uid": "math_09971_48fa7efa"
} |
TIGER-Lab/ViRL39K | [
{
"content": "<image>Which country is highlighted?\nA. Antigua and Barbuda\nB. Barbados\nC. Jamaica\nD. Haiti 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> </think> tags. The final answer MUST BE put ... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAu4AAAJYCAIAAACy7PT1AAC+EElEQVR4nOz9d5Bc2WEmep57rk9vKrOqsiyAggcaaLRnW7JpmxRFiUYSKcrPyMyMRvt8vI33InYj3s7+sRvv7Yy8GzmKooaiRIps+mY32xuggYZ3hfIuvbnenP2jQDS6UADKZObNrPp+wWBUZd289ysAjfpw7rnncIwxQgghpFKp1Go1wzBc1yUAAAAAnUcQhFAoFIvF4vH48iscY8x13ZmZGU3Tgg0HAAAAsEbhcHhwcFAQBI4xNjExoWla... | math | {
"ground_truth": "\\boxed{A}",
"style": "rule"
} | {
"answer": "\\boxed{A}",
"index": 9972,
"qa_type": "FRQ",
"question": "<image>Which country is highlighted?\nA. Antigua and Barbuda\nB. Barbados\nC. Jamaica\nD. Haiti",
"split": "train",
"uid": "math_09972_ba433b07"
} |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nDetermine the area of this shape. Round to the nearest tenth if needed.\nChoices:\n(A) 740\n(B) 840\n(C) 1050\n(D) 1540 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> </think> ta... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAATEAAADoCAYAAACHI9M7AAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaW... | math | {
"ground_truth": "\\boxed{C}",
"style": "rule"
} | {
"answer": "\\boxed{C}",
"index": 9973,
"qa_type": "FRQ",
"question": "<image>\nDetermine the area of this shape. Round to the nearest tenth if needed.\nChoices:\n(A) 740\n(B) 840\n(C) 1050\n(D) 1540",
"split": "train",
"uid": "math_09973_cb24762f"
} |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nWhich picture, out of the given choices, corresponds to the fourth picture if the first picture is a dog?\nChoices:\n(A) house\n(B) paw\n(C) dog You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed w... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCABQAS4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math | {
"ground_truth": "\\boxed{C}",
"style": "rule"
} | {
"answer": "\\boxed{C}",
"index": 9974,
"qa_type": "FRQ",
"question": "<image>\nWhich picture, out of the given choices, corresponds to the fourth picture if the first picture is a dog?\nChoices:\n(A) house\n(B) paw\n(C) dog",
"split": "train",
"uid": "math_09974_bdb3d485"
} |
TIGER-Lab/ViRL39K | [
{
"content": "The shape of a section passing through the vertex of a cone might be ( )\nA.\n\n<image><image_1>\nB.\n\n<image><image_2>\nC.\n\n<image><image_3>\nD.\n\n<image><image_4> You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUS... | [
{
"bytes": "/9j/2wCEAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDIBCQkJDAsMGA0NGDIhHCEyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMv/AABEIAMsA0AMBIgACEQEDEQH/xAGiAAABBQEBAQEBAQAAAAAAAAAAAQIDBAUGBwgJCgsQAAIBAwMCBAMFBQQEAAABfQECAwAEEQUSITFBBhNRYQcicRQy... | math | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"answer": "\\boxed{B}",
"index": 9975,
"qa_type": "FRQ",
"question": "The shape of a section passing through the vertex of a cone might be ( )\nA.\n\n<image><image_1>\nB.\n\n<image><image_2>\nC.\n\n<image><image_3>\nD.\n\n<image><image_4>",
"split": "train",
"uid": "math_09975_7923b617"
} |
TIGER-Lab/ViRL39K | [
{
"content": "As shown in the figure, $DE \\parallel BC$, and $AE:AC = 2:3$, $AD=6$. What is the length of $AB$?\n<image> 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> </think> tags. The final answer ... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAu4AAAKOCAYAAAD56ZyQAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAJk0SURBVHhe7d05mBzXvd7/axPKTGxUZotYlErYJGWXWKTUIgAqJjalJrHQmYmNN7wiADoVMACo0OIAvA6vsCm1sNGZLcwASkWAAJkRtuf/fwvzNn79m1M9PTO9VHd/P89znqquqaqu7uk69fbpU1X/MAcAAACg8QjuAAAAwAgguAMAAAAjgOAOAAAAjACCOwAAADACCO4AAADACCC4AwAA... | math | {
"ground_truth": "\\boxed{9}",
"style": "rule"
} | {
"answer": "\\boxed{9}",
"index": 9976,
"qa_type": "FRQ",
"question": "As shown in the figure, $DE \\parallel BC$, and $AE:AC = 2:3$, $AD=6$. What is the length of $AB$?\n<image>",
"split": "train",
"uid": "math_09976_1b7fccd2"
} |
TIGER-Lab/ViRL39K | [
{
"content": "<image>As shown in the figure, a tree broke at a point 5 meters above the ground during a strong typhoon, and the fallen part made a 30° angle with the ground. The height of the tree before it broke is ( )\nA. 10m\nB. 15m\nC. 5m\nD. 20m You FIRST think about the reasoning process as an internal mo... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAKwAAABCCAIAAABFHap9AAAIrklEQVR4nO2db0hT3x/H79mmWGb0hylGWuItlaEiFQttkyQ1Q4QIo0zLiJ5IEGFQRESh9of+UEER+KCMFpaBpWQZgYpZDwwzpizNAsuZtqEtZcy+dzu/B6dua/fszJ9u997d3dcDufuczz7n7blvz71n994JIISUTGijEFqAjPCI1wRmsxkAcOrUKaGFSB8gwsNBdXW1zWa7dOkSegkA6OzszMrKElaVhBGjCQAA3GBUVNSrV6/S0tL41yN5... | math | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"answer": "\\boxed{B}",
"index": 9977,
"qa_type": "FRQ",
"question": "<image>As shown in the figure, a tree broke at a point 5 meters above the ground during a strong typhoon, and the fallen part made a 30° angle with the ground. The height of the tree before it broke is ( )\nA. 10m\nB. 15m\nC. 5m\nD. 20m",
... |
TIGER-Lab/ViRL39K | [
{
"content": "What model demonstrates the lowest Bayesian Information Criterion (BIC) value for 2 subclasses in the positive class? Choose from the following options\nA. VEE\nB. VEI\nC. VEV\nD. None of the models show a BIC value for 2 subclasses\nRespond using only the letter corresponding to the correct answe... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCANKB+ADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"answer": "\\boxed{B}",
"index": 9978,
"qa_type": "FRQ",
"question": "What model demonstrates the lowest Bayesian Information Criterion (BIC) value for 2 subclasses in the positive class? Choose from the following options\nA. VEE\nB. VEI\nC. VEV\nD. None of the models show a BIC value for 2 subclasses\nRespon... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nWhat is the total number of votes for all vegetables from lower elementary students? 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> </think> tags. The final answer MUST BE put in... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCACyAZsDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUF... | math | {
"ground_truth": "\\boxed{29}",
"style": "rule"
} | {
"answer": "\\boxed{29}",
"index": 9979,
"qa_type": "FRQ",
"question": "<image>\nWhat is the total number of votes for all vegetables from lower elementary students?",
"split": "train",
"uid": "math_09979_2e068b16"
} |
TIGER-Lab/ViRL39K | [
{
"content": "<image>The chart illustrates the relationship between precipitation and temperature within a specific region.\nCan you describe the climate shown in the picture?\nA. subarctic continental climate\nB. temperate maritime climate\nC. subtropical mediterranean climate\nD. tropical rainforest climate\n... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAyAAAAEsCAIAAAC0T0BtAACua0lEQVR4nOzddUBT2x8A8LMgBxvdDYIgEtJiAfYPfZiIDSiiIoLdCIpiSwgICiJY2N2NARYgSkh3DwYbsPz9cX1zD4aSIzyfP3zs3HPPzs4b47tzz/0eFIvFAhAEQRAEQVDPQfd1ByAIgiAIggYbGGBBEARBEAT1MBhgQRAEQRAE9TAYYEEQBEFQ15WXl5uamiYmJrJLCgoK3N3dTU1NLSwsfHx8GhsbkfJFixbpcMO12Q0bNrSq9uDBA+QQ... | math | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"answer": "\\boxed{B}",
"index": 9980,
"qa_type": "FRQ",
"question": "<image>The chart illustrates the relationship between precipitation and temperature within a specific region.\nCan you describe the climate shown in the picture?\nA. subarctic continental climate\nB. temperate maritime climate\nC. subtropic... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>Read the flowchart shown in the image and run the corresponding program. The output result is $$i=$$______． You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <think> </think> tags. The final ... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAEXASIDASIAAhEBAxEB/8QAHQABAQADAAMBAQAAAAAAAAAAAAcFBggBAwQCCf/EAFkQAAAGAQICBAgJBQoL... | math | {
"ground_truth": "\\boxed{5}",
"style": "rule"
} | {
"answer": "\\boxed{5}",
"index": 9981,
"qa_type": "FRQ",
"question": "<image>Read the flowchart shown in the image and run the corresponding program. The output result is $$i=$$______．",
"split": "train",
"uid": "math_09981_182f7c9a"
} |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\n如图,已知∠CAB是⊙O的圆周角,∠CAB=50°,若点D在弧BC上且不经过点A,则∠BOD是多少度? 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> </think> tags. The final answer MUST BE put in \\boxed{}.",
"role": "user"
... | [
{
"bytes": "/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/wAALCABvAHEBAREA/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVW... | math | {
"ground_truth": "\\boxed{100°}",
"style": "rule"
} | {
"answer": "\\boxed{100°}",
"index": 9982,
"qa_type": "FRQ",
"question": "<image>\n如图,已知∠CAB是⊙O的圆周角,∠CAB=50°,若点D在弧BC上且不经过点A,则∠BOD是多少度?",
"split": "train",
"uid": "math_09982_96b901ed"
} |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nAs shown in the figure, BD bisects $\\angle ABC$, and $\\angle ACE$ is the exterior angle of $\\vartriangle ABC$. CD bisects $\\angle ACE$, and $\\angle A=50{}^\\circ$. What is the measure of $\\angle D$? You FIRST think about the reasoning process as an internal monologue and then provid... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAI4AAABICAYAAAAgTM2hAAAW6ElEQVR4nO2deXhX1bnvP2tPvyEDJIEAITIkhFkUrVRwAA6UoajUOlC1TnWqeq31np6255zn6bn3nnOee//oPT2359rT2zrQw0GxarUqgjggSlFExkAYk0ASyDznN+2911r3j19AENAAv5AE8nmePMkfe6+99t7f/a53rfddb4TWWtNPP2eI0dMd6Kdv0i+cfs6KfuGcIUr1j+zQL5wzwvU1q1e/R0d7tKe70uP0C6eLJDyP99a+xwsrllLf... | math | {
"ground_truth": "\\boxed{25^\\circ}",
"style": "rule"
} | {
"answer": "\\boxed{25^\\circ}",
"index": 9983,
"qa_type": "FRQ",
"question": "<image>\nAs shown in the figure, BD bisects $\\angle ABC$, and $\\angle ACE$ is the exterior angle of $\\vartriangle ABC$. CD bisects $\\angle ACE$, and $\\angle A=50{}^\\circ$. What is the measure of $\\angle D$?",
"split": "trai... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nThe ratio of $x+2$ to $2x+2$ is equal to the ratio of $4x+3$ to $7x+3$. What is the product of all real x which satisfy this statement? Let's think step by step and output the final answer within \\boxed{}. You FIRST think about the reasoning process as an internal monologue and then pro... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAkwAAAMsCAIAAAAphWp6AAAMA0lEQVR4nO3VQQ0AIBDAMMC/50MFIVlaBfttz8wCgKLzOwAAXjE5ALJMDoAskwMgy+QAyDI5ALJMDoAskwMgy+QAyDI5ALJMDoAskwMgy+QAyDI5ALJMDoAskwMgy+QAyDI5ALJMDoAskwMgy+QAyDI5ALJMDoAskwMgy+QAyDI5ALJMDoAskwMgy+QAyDI5ALJMDoAskwMgy+QAyDI5ALJMDoAskwMgy+QAyDI5ALJMDoAskwMgy+QAyDI5... | math | {
"ground_truth": "\\boxed{0}",
"style": "rule"
} | {
"answer": "\\boxed{0}",
"index": 9984,
"qa_type": "FRQ",
"question": "<image>\nThe ratio of $x+2$ to $2x+2$ is equal to the ratio of $4x+3$ to $7x+3$. What is the product of all real x which satisfy this statement? Let's think step by step and output the final answer within \\boxed{}.",
"split": "train",
... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nAs shown in the figure, in the isosceles trapezoid $$ABCD$$, $$AD \\parallel BC$$, and the diagonal $$AC = BC + AD$$. Find the measure of $$\\angle DBC$$.___ You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST ... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJAAAABtCAAAAABrIbejAAASnElEQVR4nO2beZBdVZ3Hf+fe+5bu191ZmiyEVUgoSdiMECXDpsxYowYhDOIIygwucVzAQR03wKUcinJUNsUSLcERQcWVCYuiYViGsA2LiY4DmARCEjpL53W/5W5n+cwf73X3635LXiexyj/mW131+r37u+d+7/n9zm879yqkDkSJiIB4AjiHlxVrlIdvtJeJ6U88zxcBPCVoYwNR4ilPIQ7nnPRhHUoprz6izUhClrigdSYjVmecRZTv+dIB... | math | {
"ground_truth": "\\boxed{60^{\\circ}}",
"style": "rule"
} | {
"answer": "\\boxed{60^{\\circ}}",
"index": 9985,
"qa_type": "FRQ",
"question": "<image>\nAs shown in the figure, in the isosceles trapezoid $$ABCD$$, $$AD \\parallel BC$$, and the diagonal $$AC = BC + AD$$. Find the measure of $$\\angle DBC$$.___",
"split": "train",
"uid": "math_09985_d0ab3143"
} |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nAs shown in the circuit diagram, all meters are ideal meters, and ${{R}_{2}}=r$. When the switch S is closed and the slider P is moved to the left, the readings of the four meters all change. Let the readings of ${{A}_{1}}$, ${{A}_{2}}$, ${{V}_{1}}$, and ${{V}_{2}}$ at the same moment dur... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANIAAACcCAYAAAAKy/VeAAA9WElEQVR4nO2dd3TUVfr/X1Myk0nvjYQ0UgiBQAgtCYEQEJCiNAsKguJa1tVddXXP0f16/LrFPet+/bm6RRexoayCglKkhJpAApFAKCEN0nubJJMyJTO/PzifzyZLgAlMCmFe53AITObzuZ/yvve5z33u80hMJpMJK1as3BbSoW6AFSsjAauQrFixAFYhWbFiAaxCsmLFAliFZMWKBRhxQjIajeh0uqFuhpW7DPlQN8BS5OTkcPjwYaqrq3Fw... | math | {
"ground_truth": "\\boxed{B}",
"style": "rule"
} | {
"answer": "\\boxed{B}",
"index": 9986,
"qa_type": "FRQ",
"question": "<image>\nAs shown in the circuit diagram, all meters are ideal meters, and ${{R}_{2}}=r$. When the switch S is closed and the slider P is moved to the left, the readings of the four meters all change. Let the readings of ${{A}_{1}}$, ${{A}_... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nAs shown in the figure, in $\\triangle ABC$, $\\cos\\angle BAC=\\frac{12}{13}$, $AB=26$, $AC=15$, $BD\\perp AC$ with the foot of the perpendicular being D, E is the midpoint of BD, and AE intersects BC at point F. What is the tangent value of $\\angle CBD$? You FIRST think about the reaso... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAbwAAADOCAIAAADKTyD2AAAABGdBTUEAALGPC/xhBQAAAAlwSFlzAAAScwAAEnMBjCK5BwAAFqpJREFUeF7tnc+LJMeZQHUweGHBVo+MZXYPxqNlDjro0A06Cjy0wLC3gTJ7FnKzN9FmoDF7MMKYnWszpz7KYGz6NOg6F/veB+/cG/QXlP0fzD7NFwrnZNaPzKrKysjM90iaiqya6arMiJffF19k9TuvRUSkNUpTRKQDSlNEpANKU0SkA0pTRKQDSlNEpANKU0SkA0pTRKQD... | math | {
"ground_truth": "\\boxed{\\frac{9}{10}}",
"style": "rule"
} | {
"answer": "\\boxed{\\frac{9}{10}}",
"index": 9987,
"qa_type": "FRQ",
"question": "<image>\nAs shown in the figure, in $\\triangle ABC$, $\\cos\\angle BAC=\\frac{12}{13}$, $AB=26$, $AC=15$, $BD\\perp AC$ with the foot of the perpendicular being D, E is the midpoint of BD, and AE intersects BC at point F. What ... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nIn the figure, in $\\triangle ABC$, $\\angle B=40^\\circ$. If $\\triangle ABC$ is rotated counterclockwise around point A to $\\triangle ADE$, such that point B falls on point D, which is on the extension line of BC, then what is the measure of $\\angle BDE$? You FIRST think about the rea... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANYAAAB1CAYAAAAyax9uAAAciklEQVR42u2d+VdUV7bH+VveW/1Dr+718vp1J+l0Xtr2tYoDYtJK4ggOOOIYTDTOGmeNMc5zjPMQp6hRo8EBhyhxwjEqghOIoiAzFMX38bnxmpIGLKii6lZ59lpnIYNQde/57uG7v2ffCBkzZszvFmEugTFjBljGjBlgGTNmgGXMmDEDLGPGDLCMeWWVeqI7d8/q+PFMlZe7zQUxwDLmq7ndz3QvdbumfzZYE765rMLSCnNRDLCM+Raq3Cq6... | math | {
"ground_truth": "\\boxed{80}",
"style": "rule"
} | {
"answer": "\\boxed{80}",
"index": 9988,
"qa_type": "FRQ",
"question": "<image>\nIn the figure, in $\\triangle ABC$, $\\angle B=40^\\circ$. If $\\triangle ABC$ is rotated counterclockwise around point A to $\\triangle ADE$, such that point B falls on point D, which is on the extension line of BC, then what is ... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>/nBased on the given images, answer the following question.\n\nConsider a random variable \\(\\xi\\) that follows a binomial distribution with parameters 4 and \\(\\frac{1}{3}\\). What is the probability that \\(\\xi\\) equals 3? You FIRST think about the reasoning process as an internal mo... | [
{
"bytes": "/9j/2wCEAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDIBCQkJDAsMGA0NGDIhHCEyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMv/AABEIAGYETAMBIgACEQEDEQH/xAGiAAABBQEBAQEBAQAAAAAAAAAAAQIDBAUGBwgJCgsQAAIBAwMCBAMFBQQEAAABfQECAwAEEQUSITFBBhNRYQcicRQy... | math | {
"ground_truth": "\\boxed{\\(\\frac{8}{81}\\)}",
"style": "rule"
} | {
"answer": "\\boxed{\\(\\frac{8}{81}\\)}",
"index": 9989,
"qa_type": "FRQ",
"question": "<image>/nBased on the given images, answer the following question.\n\nConsider a random variable \\(\\xi\\) that follows a binomial distribution with parameters 4 and \\(\\frac{1}{3}\\). What is the probability that \\(\\x... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nQuestion: The ion ^{55}\\mathrm{Mn}^{2+} contains which combination of protons, neutrons and electrons?\nChoices:\nA. A\nB. B\nC. C\nD. D You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning process MUST BE enclosed within <... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAA4sAAADqCAIAAACEMUdWAABXHklEQVR4nO3dd0ATZx8H8Oe5LPZGEAQcCOJWFK0bpW5x4arWPaq2tnXVUVetWltXfbXurdU6UHBvxS1aUVFxoSICDoZAgJBc7v0jbBIIJIE0fD9/tSZ3PIRvnvvdc3fPQzmOIwAAAAAA+gMVKgAAAADoD47jmPJuAwAAAABAPvyc/8JgKugtSilBREG/IaWg/5BS0H+KlBJCMIYKAAAAAPoFFSoAAAAA6BdUqAAAAACgX1ChAgAAAIB+QYUK... | math | {
"ground_truth": "\\boxed{A}",
"style": "rule"
} | {
"answer": "\\boxed{A}",
"index": 9990,
"qa_type": "FRQ",
"question": "<image>\nQuestion: The ion ^{55}\\mathrm{Mn}^{2+} contains which combination of protons, neutrons and electrons?\nChoices:\nA. A\nB. B\nC. C\nD. D",
"split": "train",
"uid": "math_09990_14f075c4"
} |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nIs there a data point for Web Maroon at the x-axis value of 50? 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> </think> tags. The final answer MUST BE put in \\boxed{}.",
"ro... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAiUAAAGQCAYAAABxghCwAACASUlEQVR4nO3dd3hU1dbA4d9MeieF9AQSIIQSakLvHVFQLIhir1zEgsK1BywXK4KggmK5ylWKIEUUNCi9hxJaIJCEBAIhvdeZ+f5A5iMkmTmTDKnrfR4ezTn77FmzCcmaXVU6nW4wMAQhhBBCiHpkydWEZHb9hiGEEEKI5k5d3wEIIYQQQoAkJUIIIYRoICQpEUIIIUSDIEmJEEIIIRoESUqEEEII0SBIUiKEEEKIBkGSEiGEEEI0CJKUCCGE... | math | {
"ground_truth": "\\boxed{No}",
"style": "rule"
} | {
"answer": "\\boxed{No}",
"index": 9991,
"qa_type": "FRQ",
"question": "<image>\nIs there a data point for Web Maroon at the x-axis value of 50?",
"split": "train",
"uid": "math_09991_2957ba76"
} |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nAs shown in the figure, in the square ABCD with side length $2$, P is a point on the diagonal AC, PE is perpendicular to AB at E, and PF is perpendicular to BC at F. Then $PE + PF =$． You FIRST think about the reasoning process as an internal monologue and then provide the final answer. T... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAEsAAABKCAYAAADzEqlPAAAMeklEQVR4nOWceVRUV7bGf7eqAJFBEwjarUJi5BkHVCyNmogQiSPBxKCINgaTZ+w2PrXVBBBKwBIbHBNsxUievZLuvKyVdAY7usyg8SVRnoqoSFoig8MTJzStolJAQd3Tf2ANDAUKBQXkW6tWVZ2z7z77fHfvfc49994jCVkWSNSBRNHBT8kr70fIxGEoEQAIAZJklumsKMrL4uI1HeW6uwgUDPAfy5O9uqGo6bNU61N28ybb//w+tytLUWKu... | math | {
"ground_truth": "\\boxed{2}",
"style": "rule"
} | {
"answer": "\\boxed{2}",
"index": 9992,
"qa_type": "FRQ",
"question": "<image>\nAs shown in the figure, in the square ABCD with side length $2$, P is a point on the diagonal AC, PE is perpendicular to AB at E, and PF is perpendicular to BC at F. Then $PE + PF =$．",
"split": "train",
"uid": "math_09992_c9de... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nAs shown in the figure, the side lengths of rectangle $ABCD$ are $AD=4$ and $AB=3$. Point $E$ is the midpoint of $AB$, and $AC$ intersects $DE$ and $DB$ at points $M$ and $N$, respectively. The length of $MN$ is. You FIRST think about the reasoning process as an internal monologue and the... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAJYAAABhCAYAAAA0llhDAAAkVklEQVR4nO2dd3RURfvHv9uzqaSQRggBpBlQ6TVIqOIRkQACCkqVptgFFekICLw0RQEpRgIiCmLBWHilhJZgIl1pKp30srvZ3bt3v78/eHd+xATI7iYhYD7n5Jwkd2aeufd+79y5M/M8oyBJVFFFGaO80xWo4t6k1MKyWCwoLCwsz7pUcQ9RamElJSWhT58+uHz5cnnWp4p7BPXtEtjtduTk5GDRokX44YcfcObMGYSHh1dE3aqoRGRnZ6Og... | math | {
"ground_truth": "\\boxed{\\frac{5}{6}}",
"style": "rule"
} | {
"answer": "\\boxed{\\frac{5}{6}}",
"index": 9993,
"qa_type": "FRQ",
"question": "<image>\nAs shown in the figure, the side lengths of rectangle $ABCD$ are $AD=4$ and $AB=3$. Point $E$ is the midpoint of $AB$, and $AC$ intersects $DE$ and $DB$ at points $M$ and $N$, respectively. The length of $MN$ is.",
"sp... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nAs shown in the figure, in quadrilateral $ABCD$, $\\angle ABC = \\angle ADC = 90^\\circ$, $E$ is the midpoint of diagonal $AC$, connecting $BE$, $ED$, $BD$. If $\\angle BAD = 58^\\circ$, what is the degree measure of $\\angle EBD$? You FIRST think about the reasoning process as an interna... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAM4AAAC0CAYAAADcphNjAAAbmklEQVR42u3dh5dU1dIFcP5QnjnniDkHDKigiDkCooIokhQDJoyoKBgRc8ac8/3W734eVzt293S4sbv2Wr18j5npcPvuc6p27aozJwsEGoZvvvkm27hxY3beeedlc+fOzf+7YcOGbO3atdmqVauyW2+9NXvjjTeyv/76q7b3OCe+pkATgRTnn39+TpwnnnjiXz/78ssvs9NOOy0nVxAnEOjAzz//nO2///7Z//73v+yLL774z8+feuqpbK+9... | math | {
"ground_truth": "\\boxed{32}",
"style": "rule"
} | {
"answer": "\\boxed{32}",
"index": 9994,
"qa_type": "FRQ",
"question": "<image>\nAs shown in the figure, in quadrilateral $ABCD$, $\\angle ABC = \\angle ADC = 90^\\circ$, $E$ is the midpoint of diagonal $AC$, connecting $BE$, $ED$, $BD$. If $\\angle BAD = 58^\\circ$, what is the degree measure of $\\angle EBD$... |
TIGER-Lab/ViRL39K | [
{
"content": "Given that the area of triangle $ABC$ is $a$, as shown in Figure (1), if sides $BC$ and $AC$ are divided into two equal parts, $BE_1$ and $AD_1$ intersect at point $O$, and the area of triangle $AOB$ is denoted as $S_1$; as shown in Figure (2), if sides $BC$ and $AC$ are divided into three equal p... | [
{
"bytes": "/9j/2wCEAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDIBCQkJDAsMGA0NGDIhHCEyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMv/AABEIARUBpgMBIgACEQEDEQH/xAGiAAABBQEBAQEBAQAAAAAAAAAAAQIDBAUGBwgJCgsQAAIBAwMCBAMFBQQEAAABfQECAwAEEQUSITFBBhNRYQcicRQy... | math | {
"ground_truth": "\\boxed{D}",
"style": "rule"
} | {
"answer": "\\boxed{D}",
"index": 9995,
"qa_type": "FRQ",
"question": "Given that the area of triangle $ABC$ is $a$, as shown in Figure (1), if sides $BC$ and $AC$ are divided into two equal parts, $BE_1$ and $AD_1$ intersect at point $O$, and the area of triangle $AOB$ is denoted as $S_1$; as shown in Figure ... |
TIGER-Lab/ViRL39K | [
{
"content": "The below problem is with the following images:\n<image>\nIn parallelogram ABCD, AE:EB=1:2, where E is a point on AB, and AC intersects with EF at point F. Given that the area of triangle AEF is 3, what is the area of triangle FCD? You FIRST think about the reasoning process as an internal monolog... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAALQAAABVCAIAAABvt1lCAAARGUlEQVR4nO1dbUxb1Ru/ty8sUSb5J+BGQNmAwSZDWdgyEeMQlDHcoG5kqxsoyOvctEXM5iLqkvEBIsRtvKyMLrSulTZtA5MX22F5UZguI1IjRNAVYYyEBWIo1Cl9u/8PR693t++l7b0Ffh9I77n3nPucc3/nec45z3MOMIIgEAmQmZn51VdfoZdBQUETExP+/v4EirQOCtECQBAEIQhy48YNBoMxPDyMIAiCIG+++WZ4eLhWqyVatDUEczVB... | math | {
"ground_truth": "\\boxed{27}",
"style": "rule"
} | {
"answer": "\\boxed{27}",
"index": 9996,
"qa_type": "FRQ",
"question": "The below problem is with the following images:\n<image>\nIn parallelogram ABCD, AE:EB=1:2, where E is a point on AB, and AC intersects with EF at point F. Given that the area of triangle AEF is 3, what is the area of triangle FCD?",
"sp... |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nIn what year did the percentage of total U.S. merchandise exports go to NAFTA members Canada and Mexico? 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> </think> tags. The final a... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAyAAAAItCAYAAADBmR4CAAB9VUlEQVR4nO39fXxc9X3nf7+/Z6SxZMvgsQ22FUywFSeBEEhNNk4aejmlIdVVx/m1P0rZtr7KFv8Iyfa3Dr2WR8jml5bSTbMlP3pt4uzVBPJwNxTtsizLlWwctW5DadySJs6CGsXE5AbZ4U42RtbY+GZGI835Xn+cObdzZjSjm5HGfj15iJk5t99zZFvno8/38/2actm1ijKStfFFSnwMFvvbmcjOStkfAAAAQNsxxn/Qt7GXcHlyh8pmlXjA... | math | {
"ground_truth": "\\boxed{2002}",
"style": "rule"
} | {
"answer": "\\boxed{2002}",
"index": 9997,
"qa_type": "FRQ",
"question": "<image>\nIn what year did the percentage of total U.S. merchandise exports go to NAFTA members Canada and Mexico?",
"split": "train",
"uid": "math_09997_27472266"
} |
TIGER-Lab/ViRL39K | [
{
"content": "<image>\nAs shown in the figure, it is known that $$AB \\parallel CF$$, and $$E$$ is the midpoint of $$DF$$. If $$AB=13 \\rm cm$$ and $$CF=9 \\rm cm$$, then $$BD=$$______$$cm$$. You FIRST think about the reasoning process as an internal monologue and then provide the final answer. The reasoning pr... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAANgAAACFCAYAAAA5MDbEAAAM80lEQVR4nO2dYYhc1RXHf8YhDLLIK9ngSFNY2iVdJJUBF0whwSksssh+2A8pjTSpG4glH4IEmraxSXGtH6ys6IcUQ9kP25BKoJEoRIx0a4OkJZWIK1hMcYVQlhBCSpeqtSFNsR/+85iXcWbnzcx779735vxg2M3O5M6Zue+8e865554DhmEYhmEYhtE3JeBl4HuuBTGMIvJd4AvgQ9eCGEYReRN4CynZg45lMYxC8TXgr8AoUrBfuxXHMPzm... | math | {
"ground_truth": "\\boxed{4}",
"style": "rule"
} | {
"answer": "\\boxed{4}",
"index": 9998,
"qa_type": "FRQ",
"question": "<image>\nAs shown in the figure, it is known that $$AB \\parallel CF$$, and $$E$$ is the midpoint of $$DF$$. If $$AB=13 \\rm cm$$ and $$CF=9 \\rm cm$$, then $$BD=$$______$$cm$$.",
"split": "train",
"uid": "math_09998_96d20052"
} |
TIGER-Lab/ViRL39K | [
{
"content": "<image>The map below shows humidity in the lower atmosphere on April 9, 2016. The map shows specific humidity, a measurement of the amount of water vapor in the air. The outlined area shows an air mass that influenced weather in Africa on that day.\nLook at the map. Then, answer the question below... | [
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAd8AAAHKCAIAAADNedYnAAEAAElEQVR4nOy9d5gkV3ku/p1zKnV1nO7pnhw3a6N2leMqgAIgrQAZIRAswRhjjFZO1/b1z8i+176+ti8IcCDYSAKEAIG0AhGE0ipnaYO0cXZnZndy6OlcXeGc8/ujZnt6uqvTJO2ifZ999umpPnWqurvqre984f0Q5xyqxq5du7Zu3Vr9+DM4gzM4gzOYG3Du1e7du6+44or8P88+++y6urqbbropFosBwI4dO/r6+nbs2GG/vuKKK/r6+uzB... | math | {
"ground_truth": "\\boxed{A}",
"style": "rule"
} | {
"answer": "\\boxed{A}",
"index": 9999,
"qa_type": "FRQ",
"question": "<image>The map below shows humidity in the lower atmosphere on April 9, 2016. The map shows specific humidity, a measurement of the amount of water vapor in the air. The outlined area shows an air mass that influenced weather in Africa on t... |
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