Datasets:
images images list | difficulty string | data_source string | prompt list | ability string | reward_model dict | extra_info dict |
|---|---|---|---|---|---|---|
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "11",
"style": "rule"
} | {
"answer": "11",
"caption_correct": null,
"caption_modified": null,
"idx": 18610,
"modify_info": null,
"num_modify": 3,
"original_output": {
"caption": "There are three data points in the table: (x=3, y=6), (x=15, y=11), and (x=3, y=8). The question asks for the y-value when x=15. The table already c... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"caption_correct": null,
"caption_modified": null,
"idx": 12314,
"modify_info": null,
"num_modify": 2,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image>\nDuring the transportation of animals, changes in cortisol hormone levels in the body can regulat... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"caption_correct": null,
"caption_modified": null,
"idx": 2287,
"modify_info": null,
"num_modify": 1,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image>/nBased on the given images, answer the following question.\n\nIn triangle ABC, AD is the altitude ... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "AC = 4",
"style": "rule"
} | {
"answer": "AC = 4",
"caption_correct": null,
"caption_modified": null,
"idx": 14749,
"modify_info": null,
"num_modify": 1,
"original_output": {
"caption": "There is a geometric figure with points A, B, C, D, and M. Points A and B lie on a straight line segment AB of length 12. Point M is the midpoin... | |
hard | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "-7",
"style": "rule"
} | {
"answer": "-7",
"caption_correct": null,
"caption_modified": null,
"idx": 1769,
"modify_info": null,
"num_modify": 3,
"original_output": {
"caption": "There is no visual information in the image to extract or describe.",
"modify": "The original caption simply stated there was no visual informati... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "\\dfrac{ \\pi }{2}",
"style": "rule"
} | {
"answer": "\\dfrac{ \\pi }{2}",
"caption_correct": null,
"caption_modified": null,
"idx": 15938,
"modify_info": null,
"num_modify": 2,
"original_output": {
"caption": "Front view and left view are both equilateral triangles with side length 1, and the top view is a circle. This indicates the geometr... | |
hard | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "50",
"style": "rule"
} | {
"answer": "50",
"caption_correct": null,
"caption_modified": null,
"idx": 2373,
"modify_info": null,
"num_modify": 2,
"original_output": {
"caption": "",
"modify": "The original description is empty, but the visible problem statement shows the modular expression. I will make two number substitut... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "24",
"style": "rule"
} | {
"answer": "24",
"caption_correct": null,
"caption_modified": null,
"idx": 14866,
"modify_info": null,
"num_modify": 2,
"original_output": {
"caption": "Orange square with each side labeled as 6ft.",
"modify": "I will reinterpret the visible \"6ft\" labels in the image so they no longer denote si... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "$-\\frac{2}{3}\\overrightarrow{a}+\\frac{1}{2}\\overrightarrow{b}+\\frac{1}{2}\\overrightarrow{c}$",
"style": "rule"
} | {
"answer": "$-\\frac{2}{3}\\overrightarrow{a}+\\frac{1}{2}\\overrightarrow{b}+\\frac{1}{2}\\overrightarrow{c}$",
"caption_correct": "Given a tetrahedron O-ABC with position vectors $\\overrightarrow{OA} = \\vec{a}$, $\\overrightarrow{OB} = \\vec{b}$, $\\overrightarrow{OC} = \\vec{c}$. Point M lies on edge OA such ... | |
easy | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "5",
"style": "rule"
} | {
"answer": "5",
"caption_correct": null,
"caption_modified": null,
"idx": 5525,
"modify_info": null,
"num_modify": 2,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image> As shown in the figure, $$OP$$ bisects $$\\angle MON$$, $$PA \\bot ON$$ at point $$A$$, $$PA=5$$, ... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "-\\dfrac{3}{2}",
"style": "rule"
} | {
"answer": "-\\dfrac{3}{2}",
"caption_correct": "Input x = 6. First iteration: y = (1/2)*6 - 1 = 2. Check |y - x| = |2 - 6| = 4, which is not less than 1, so x becomes y (x = 2). Second iteration: y = (1/2)*2 - 1 = 0. Check |y - x| = |0 - 2| = 2, which is not less than 1, so x becomes y (x = 0). Third iteration: y... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"answer": "6",
"caption_correct": "There are 6 distinct labeled stages (A, B, C, D, E, F, G, H) shown in the diagram, but the question asks for the number of cycles. The diagram depicts a life cycle with arrows forming a loop, indicating a continuous process. The stages are labeled with letters, and the arrows sh... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "\\frac{1}{2}",
"style": "rule"
} | {
"answer": "\\frac{1}{2}",
"caption_correct": "There is no visual content in the image. The image is completely white and devoid of any text, symbols, or data.",
"caption_modified": "The image shows three mathematical equations written in black text on a white background: m/n = 15, p/n = 1/3, and p/q = 10.",
"... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "16",
"style": "rule"
} | {
"answer": "16",
"caption_correct": null,
"caption_modified": null,
"idx": 6805,
"modify_info": null,
"num_modify": 1,
"original_output": {
"caption": null,
"modify": null
},
"question": "The below problem is with the following images:\n<image>\nIn the given diagram, the line segment EF passe... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "x < -1",
"style": "rule"
} | {
"answer": "x < -1",
"caption_correct": "The graphs of $y = -3x$ and $y = ax + 4$ intersect at point A with coordinates $(m, 3)$. Substituting $y = 3$ into $y = -3x$ gives $3 = -3m$, so $m = -1$. Therefore, point A is $(-1, 3)$. Substituting $(-1, 3)$ into $y = ax + 4$ gives $3 = a(-1) + 4$, so $a = 1$. The inequa... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "8",
"caption_correct": null,
"caption_modified": null,
"idx": 1577,
"modify_info": null,
"num_modify": 1,
"original_output": {
"caption": "Initial values: S = 1, I = 2. The loop continues while S ≤ 100. In each iteration, I is incremented by 2, and S is multiplied by the new value of I. T... | |
hard | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "300",
"style": "rule"
} | {
"answer": "300",
"caption_correct": null,
"caption_modified": null,
"idx": 5994,
"modify_info": null,
"num_modify": 2,
"original_output": {
"caption": "\nThe diagram shows a hill with peak A and base B, where AB is the vertical height to be determined. Point C is on the ground directly below A, and ... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"answer": "6",
"caption_correct": null,
"caption_modified": null,
"idx": 5212,
"modify_info": null,
"num_modify": 1,
"original_output": {
"caption": "There are 5 objects in total. One of them is a blue sphere. After removing the blue object, 4 objects remain. Adding 2 more green spheres results in a... | |
hard | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "\\dfrac{3}{4}",
"style": "rule"
} | {
"answer": "\\dfrac{3}{4}",
"caption_correct": "On a 1×2 square grid, there are 3 grid points on the left square and 3 on the right square, totaling 6 grid points. Two chess pieces are already placed at the top-right corner of the left square and the bottom-left corner of the right square. There are 4 remaining gr... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "-5 (A)",
"style": "rule"
} | {
"answer": "-5 (A)",
"caption_correct": "The graph of the current intensity $I$ (in Amperes) versus time $t$ (in seconds) is a sine wave with the following key features: the maximum value (amplitude) is 10 A, the minimum value is -10 A, and the period is $\\frac{4}{300}$ seconds. The graph passes through the origi... | |
hard | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"caption_correct": null,
"caption_modified": null,
"idx": 6702,
"modify_info": null,
"num_modify": 2,
"original_output": {
"caption": "The function f(x) is defined piecewise: for x > -2, f(x) = ⌊1/(x+2)⌋, and for x < -2, f(x) = ⌊1/(x+2)⌋. The function is undefined at x = -2. The quest... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"caption_correct": null,
"caption_modified": null,
"idx": 18935,
"modify_info": null,
"num_modify": 2,
"original_output": {
"caption": "According to the \"All\" panel, at log(M_*/h^{-2} M_⊙) = 10.5, the data points (both red and cyan) and the blue curve are located at approximately th... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "A",
"style": "rule"
} | {
"answer": "A",
"caption_correct": null,
"caption_modified": null,
"idx": 18479,
"modify_info": null,
"num_modify": 1,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image>\n如图,P是⊙O外一点,PO交⊙O于C点,PA和PB分别切⊙O于A和B点,已知⊙O的半径为3cm,∠APB=60°．若用图中阴影部分的扇形围成一个圆锥的侧面,则这个圆锥的高为()\nChoice... | |
hard | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "$$[1,2]$$",
"style": "rule"
} | {
"answer": "$$[1,2]$$",
"caption_correct": null,
"caption_modified": null,
"idx": 459,
"modify_info": null,
"num_modify": 1,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image> As shown in the figure, let $$P$$ be the intersection point of the unit circle and the posi... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "6",
"style": "rule"
} | {
"answer": "6",
"caption_correct": null,
"caption_modified": null,
"idx": 1762,
"modify_info": null,
"num_modify": 2,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image>/nBased on the given images, answer the following question.\n\nAs shown in the figure, in triangle ... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "$\\frac{8\\pi }{3}$ - 2$\\sqrt{3}$",
"style": "rule"
} | {
"answer": "$\\frac{8\\pi }{3}$ - 2$\\sqrt{3}$",
"caption_correct": "There is a sector AOB with central angle ∠AOB = 60° and radius OA = 4. A perpendicular is drawn from point A to the radius OB, meeting it at point C. The shaded region is the area of the sector AOB minus the area of the triangle AOC. The triangle... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "$$-6$$",
"style": "rule"
} | {
"answer": "$$-6$$",
"caption_correct": null,
"caption_modified": null,
"idx": 1980,
"modify_info": null,
"num_modify": 2,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image> As shown in the figure, point $$P$$ is a point on the graph of the inverse proportion functio... | |
hard | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "10",
"style": "rule"
} | {
"answer": "10",
"caption_correct": null,
"caption_modified": null,
"idx": 20110,
"modify_info": null,
"num_modify": 3,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image>\nIn an opaque bag, there are $$n$$ balls that are identical except for their color, including $$... | |
hard | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "$16\\sqrt{2}-16$",
"style": "rule"
} | {
"answer": "$16\\sqrt{2}-16$",
"caption_correct": null,
"caption_modified": null,
"idx": 12629,
"modify_info": null,
"num_modify": 3,
"original_output": {
"caption": "Figure 3 shows a square formed by 12 identical rectangular paper pieces, with a shaded region in the center. The shaded region is a sm... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"caption_correct": null,
"caption_modified": null,
"idx": 15564,
"modify_info": null,
"num_modify": 3,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image>As shown in the figure, line AB ‖ CD, line EF intersects line AB and CD at points O and G respecti... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "E",
"style": "rule"
} | {
"answer": "E",
"caption_correct": "The diagram illustrates a life cycle with arrows indicating the sequence of stages. The first larval stage is labeled \"C\". The arrow pointing to \"C\" originates from \"G\", indicating that \"G\" occurs before \"C\". The other options, \"E\", \"F\", and \"G\", are not the imme... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"caption_correct": "Graph of a piecewise function f(x) on the interval -4 < x < 6. The function is composed of a triangular segment from x = -4 to x = -1, a curved segment from x = -1 to x = 3, and another curved segment from x = 3 to x = 6. There is a solid dot at (0, 1), indicating the function v... | |
hard | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "$\\frac{\\sqrt{34}}{2}$",
"style": "rule"
} | {
"answer": "$\\frac{\\sqrt{34}}{2}$",
"caption_correct": "square ABCD with side length 5, point E on AD such that AE = 2, point F on DC such that DF = 2, BE and AF intersect at G, H is the midpoint of BF, and GH is drawn.",
"caption_modified": "square ABCD with side length 5, point E on DC such that DE = 2, poin... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "$50$",
"style": "rule"
} | {
"answer": "$50$",
"caption_correct": "Two congruent triangles, $\\triangle ACD$ and $\\triangle ECB$, are shown with points $A$, $C$, and $B$ collinear. Point $E$ corresponds to point $A$, and point $D$ corresponds to point $B$. The angle $\\angle BCE$ is given as $130^\\circ$. The figure shows that triangle $ACD... | |
hard | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "y=-2x+20",
"style": "rule"
} | {
"answer": "y=-2x+20",
"caption_correct": null,
"caption_modified": null,
"idx": 12408,
"modify_info": null,
"num_modify": 3,
"original_output": {
"caption": "\nIn the Cartesian coordinate system, point O is the origin (0,0). Point A has coordinates (3,4). The figure shows a rhombus OABC, with diagon... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "22",
"style": "rule"
} | {
"answer": "22",
"caption_correct": null,
"caption_modified": null,
"idx": 2796,
"modify_info": null,
"num_modify": 1,
"original_output": {
"caption": "Two intersecting lines form vertical angles. One pair of vertical angles is labeled as (5z + 2)° and x°. The other pair of vertical angles is labeled... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"caption_correct": null,
"caption_modified": null,
"idx": 2992,
"modify_info": null,
"num_modify": 2,
"original_output": {
"caption": "Two right triangles, △ABC and △DEF, are shown with right angles at B and E respectively. The altitude BG in △ABC has length 3, and the altitude EH in ... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "-5",
"style": "rule"
} | {
"answer": "-5",
"caption_correct": "Point A lies on the graph of the inverse proportion function y = k/x, and its coordinates are (x, k/x) for some x ≠ 0. Point B is the foot of the perpendicular from A to the x-axis, so its coordinates are (x, 0). Point C is on the y-axis, so its coordinates are (0, c) for some ... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "-1",
"style": "rule"
} | {
"answer": "-1",
"caption_correct": null,
"caption_modified": null,
"idx": 17615,
"modify_info": null,
"num_modify": 1,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image>\nIf the input value of $$x$$ is $$-3$$, then the output result is ___.",
"split": "train",
"... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "8",
"caption_correct": "Quadrilateral ABCD is a parallelogram, with point E on side CD. AE is the angle bisector of ∠BAD. The length of side AD is given as 5, and the length of segment EC is given as 3. The goal is to find the length of side AB.",
"caption_modified": "Quadrilateral ABCD is a trapezoi... | |
hard | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "1.6",
"style": "rule"
} | {
"answer": "1.6",
"caption_correct": null,
"caption_modified": null,
"idx": 14064,
"modify_info": null,
"num_modify": 3,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image> In the ancient Chinese mathematical masterpiece 'Nine Chapters on the Mathematical Art', it is ... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"caption_correct": null,
"caption_modified": null,
"idx": 11917,
"modify_info": null,
"num_modify": 2,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image>As shown in the figure, AB is the diameter of circle O, point D is a point on circle O, ∠ABD = 30°... | |
hard | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "65",
"style": "rule"
} | {
"answer": "65",
"caption_correct": "Circle with center O, tangents AB and AC touching the circle at points B and C respectively, with ∠A = 50°. Point P is a point on the circle, distinct from B and C, located on the arc BMC (the arc not containing A). The angle ∠BPC is the angle subtended by arc BC at point P on ... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "4",
"style": "rule"
} | {
"answer": "4",
"caption_correct": null,
"caption_modified": null,
"idx": 16992,
"modify_info": null,
"num_modify": 1,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image> As shown in the figure, A is a point on the graph of an inverse proportion function. A perpendicu... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "8/81",
"style": "rule"
} | {
"answer": "8/81",
"caption_correct": null,
"caption_modified": null,
"idx": 2931,
"modify_info": null,
"num_modify": 2,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image>/nBased on the given images, answer the following question.\n\nCalculate the probability that th... | |
hard | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"caption_correct": null,
"caption_modified": null,
"idx": 19387,
"modify_info": null,
"num_modify": 3,
"original_output": {
"caption": "The graph of the quadratic function y = ax^2 + bx + c is a downward-opening parabola with its vertex at (1, 3). The parabola intersects the x-axis at... | |
easy | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "$$15$$",
"style": "rule"
} | {
"answer": "$$15$$",
"caption_correct": null,
"caption_modified": null,
"idx": 7850,
"modify_info": null,
"num_modify": 1,
"original_output": {
"caption": "Triangle ADE is congruent to triangle ACB, and the ratio of AD to AC is 2/3. The length of segment DE is given as 10. Since the triangles are con... | |
hard | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "$y=\\frac{\\sqrt{2}}{2}(x+\\frac{1}{x})-1, x\\in (0,\\sqrt{2})$",
"style": "rule"
} | {
"answer": "$y=\\frac{\\sqrt{2}}{2}(x+\\frac{1}{x})-1, x\\in (0,\\sqrt{2})$",
"caption_correct": null,
"caption_modified": null,
"idx": 424,
"modify_info": null,
"num_modify": 2,
"original_output": {
"caption": "square ABCD with side length 1, point P on diagonal BD, point Q is the intersection of li... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "16000",
"style": "rule"
} | {
"answer": "16000",
"caption_correct": null,
"caption_modified": null,
"idx": 3539,
"modify_info": null,
"num_modify": 3,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image> As shown in the figure, a lidless water tank is made from a square iron sheet with a side leng... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "B",
"style": "rule"
} | {
"answer": "B",
"caption_correct": null,
"caption_modified": null,
"idx": 18103,
"modify_info": null,
"num_modify": 1,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image>\nIn the given diagram, in circle O, AB is a tangent to circle O at point A, OB intersects circle ... | |
hard | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "16",
"style": "rule"
} | {
"answer": "16",
"caption_correct": null,
"caption_modified": null,
"idx": 10953,
"modify_info": null,
"num_modify": 3,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image>\nA class has a total of 54 students. Now, using the systematic sampling method based on the stud... | |
hard | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "30",
"style": "rule"
} | {
"answer": "30",
"caption_correct": "The image is completely black and contains no visible content, including any histogram or data representation. Therefore, it is impossible to determine the number of students with scores in the [70,80) range from the provided image.",
"caption_modified": "The image shows a cl... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "2",
"style": "rule"
} | {
"answer": "2",
"caption_correct": null,
"caption_modified": null,
"idx": 3906,
"modify_info": null,
"num_modify": 1,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image>\nIn the given rectangle ABCD, if the area of triangle AFE is 2, what is the length of segment EC?"... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "4.5",
"style": "rule"
} | {
"answer": "4.5",
"caption_correct": null,
"caption_modified": null,
"idx": 309,
"modify_info": null,
"num_modify": 1,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image>\nAs shown in the figure, in the Cartesian coordinate system, it is known that $$A(1,0)$$, $$D(3,0... | |
hard | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "\\frac{6}{5}",
"style": "rule"
} | {
"answer": "\\frac{6}{5}",
"caption_correct": null,
"caption_modified": null,
"idx": 16853,
"modify_info": null,
"num_modify": 2,
"original_output": {
"caption": "There are 5 families: A, B, C, D, E. The number of boys and girls in each family is given in the table. Family A has 0 boys and 0 girls. F... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "D",
"style": "rule"
} | {
"answer": "D",
"caption_correct": null,
"caption_modified": null,
"idx": 7902,
"modify_info": null,
"num_modify": 2,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image>\nQuestion: The rate of a reaction between A and B follows the rate law Rate = k[A]^2[B]. Determine... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "2015",
"style": "rule"
} | {
"answer": "2015",
"caption_correct": null,
"caption_modified": null,
"idx": 19734,
"modify_info": null,
"num_modify": 3,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image>\nSince what year has the number of shoplifting cases decreased?",
"split": "train",
"type"... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "8",
"style": "rule"
} | {
"answer": "8",
"caption_correct": "AB = 1.4 meters, BP = 2.1 meters, PD = 12 meters, and the diagram shows that AB and CD are perpendicular to the ground BD, with a plane mirror at point P reflecting light from A to C. The diagram indicates that triangle ABP is similar to triangle CDP due to the law of reflection... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "$$\\dfrac{n^{2}\\left ( n+1\\right ) ^{2}}{4}$$",
"style": "rule"
} | {
"answer": "$$\\dfrac{n^{2}\\left ( n+1\\right ) ^{2}}{4}$$",
"caption_correct": "Two columns of equations are shown. The left column sums consecutive integers: 1, 1+2, 1+2+3, 1+2+3+4, 1+2+3+4+5, yielding results 1, 3, 6, 10, 15. The right column sums consecutive cubes: 1³, 1³+2³, 1³+2³+3³, 1³+2³+3³+4³, 1³+2³+3³+4... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "$$\\dfrac{19}{3}$$",
"style": "rule"
} | {
"answer": "$$\\dfrac{19}{3}$$",
"caption_correct": null,
"caption_modified": null,
"idx": 4009,
"modify_info": null,
"num_modify": 3,
"original_output": {
"caption": "The program initializes variables a, b, and c to 2, 3, and 4 respectively. Then it updates a to the value of b (so a becomes 3), upda... | |
hard | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "1800",
"style": "rule"
} | {
"answer": "1800",
"caption_correct": null,
"caption_modified": null,
"idx": 11979,
"modify_info": null,
"num_modify": 1,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image> In 1261 AD, the Southern Song dynasty mathematician Yang Hui proposed the 'Yang Hui Triangle' ... | |
middle | hiyouga/geometry3k | [
{
"content": "You are a helpful assistant.\nYou 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 (single word or few words) MUST BE put in <answer></answer>.",
"role": "sy... | math | {
"ground_truth": "C",
"style": "rule"
} | {
"answer": "C",
"caption_correct": null,
"caption_modified": null,
"idx": 18393,
"modify_info": null,
"num_modify": 2,
"original_output": {
"caption": null,
"modify": null
},
"question": "<image>As shown in the figure, lines a and b are intersected by lines c and d, ∠1 + ∠2 = 180°, ∠3 = 60°, ... |
End of preview. Expand in Data Studio
MIRA-RL-Dataset
This repository contains the 28,643-example main training split for MIRA: Reinforcing Multimodal Reasoning via Deceptive Contextual Augmentation (NeurIPS 2026). Some examples contain a misleading visual description in the assistant prefill; the training mixture also includes examples without a misleading prefill.
The training data is stored in training/main_augmented/train.parquet. Each record contains image data, a prompt, answer/reward information, and MIRA metadata. The extra_info field includes sample type, captions, edit information, and original generation outputs where available. This release contains the training split only; the training launcher requires a separate compatible validation file.
The source images and questions may be subject to the terms of their original datasets. Consult the paper and original data providers for provenance and applicable usage terms.
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