images
images listlengths 1
1
| data_source
stringclasses 1
value | prompt
listlengths 1
1
| ability
stringclasses 1
value | reward_model
dict | extra_info
dict |
|---|---|---|---|---|---|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: In the figure above. What is the value of x?\nChoices:\nA.90\nB.120\nC.144\nD.156\nE.168\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "C",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "24b731cc-edc7-4ffc-9513-33f334aa106c",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: There is a function representing a circle centered at the origin with a radius of 1 unit. Point A is on the circle. What is the value of the y-coordinate of point A?\nChoices:\nA:$\\sin \\left(0^{\\circ}\\right)$\nB:$\\cos \\left(0^{\\circ}\\right)$\nC:$\\sin \\left(90^{\\circ}\\right)$\nD:$\\cos \\left(90^{\\circ}\\right)$\nE:$\\hline \\sin \\left(270^{\\circ}\\right)$\nF:$\\cos \\left(270^{\\circ}\\right)$\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "E",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "e245cce8-46d2-4738-bc4d-c92fc2f01e54",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, angle B = 50.0, then the degree of angle C is ()\nChoices:\nA:50°\nB:55°\nC:60°\nD:65°\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "D",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "4b2334c3-b29b-424e-b213-109d00044f3e",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: There is a function representing a circle centered at the origin with a radius of 1 unit. Points A,B, and C are plotted on the unit circle. Which of the coordinates is equal to \\sin \\left(310^{\\circ}\\right) ?\nChoices:\nA:x-coordinate of point A\nB:y-coordinate of point A\nC:x-coordinate of point B\nD:y-coordinate of point B\nE:x-coordinate of point C\nF:y-coordinate of point C\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "F",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "d2ad8450-75bc-4d91-8c6a-74c1ea195cdd",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Find the value of H.\n\nRound your answer to the nearest whole number.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "19",
"style": "rule"
}
|
{
"category": "free-form",
"index": "26b107fa-96e6-430d-9834-e1f0259811d7",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Quadratic function g opens upward, and goes through (2,4), (6,4) with a vertex of (4,0). Is the discriminant of f positive, zero, or negative?\nChoices:\nA:Positivie\nB:Zero\nC:Negative\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "f02381ac-3be0-44eb-bc74-653d6c981dc7",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "C",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "63597941-4df1-4eb4-8e9b-933417d17fbf",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: In \\odot P, find the length of \\widehat R S. Round to the nearest hundredth.\nChoices:\nA:2.27\nB:3.91\nC:4.54\nD:7.82\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "C",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "00671300-ba71-4dd3-88a3-0540f38f1f6c",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: The meteoroid projected in the direction of B is moving at a speed of 7860 km/h.\n\n\nWhat distance will the meteoroid travelling towards point B have covered after 29 minutes?\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "3799 km",
"style": "rule"
}
|
{
"category": "free-form",
"index": "07312e70-9e42-468e-9c2a-18aec5418222",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "Volume $=46827.83 \\mathrm{~mm}^{3}$",
"style": "rule"
}
|
{
"category": "free-form",
"index": "8da32714-8eed-4311-bb1d-7190fa8ea0af",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "288.6 \\mathrm{m}^2",
"style": "rule"
}
|
{
"category": "free-form",
"index": "69013a3f-9f1f-4d44-9d15-09b67b72f339",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Find the surface area of the solid figure shown. The height is 21 cm.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "768 \\mathrm{cm}^2",
"style": "rule"
}
|
{
"category": "free-form",
"index": "ef9cd857-2756-4132-80e1-550051abdba1",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, angle AOD is 30.0. and the degree of angle AOC is 100.0, then the degree of angle DOB is ()\nChoices:\nA:40°\nB:30°\nC:38°\nD:15°\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "A",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "529198c5-a857-4b56-80d2-cec24a9c8719",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: The figure above shows a triangular prism whose base is a equilateral triangle with side lengths $x$ and height $\\sqrt{3} x$. If the volume of the prism is $\\frac{81}{4}$, what is the value of $x$ ?\nChoices:\nA:3\nB:4\nC:5\nD:6\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "A",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "fd54e7f2-94fc-4128-af87-c96616734faf",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Consider the following solid figure with a height of 35 cm. Find the surface area of the solid figure.\n\nRound your answer to two decimal places.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "Surface Area $=2827.43 \\mathrm{~cm}^{2}$",
"style": "rule"
}
|
{
"category": "free-form",
"index": "92116d6e-0faf-4b30-9059-4a4cb968b50c",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Consider the points on the diagram P, A and N where N denotes the north cardinal point.\n\nUsing the diagram, find the true bearing of P from A.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "315^\\circT",
"style": "rule"
}
|
{
"category": "free-form",
"index": "5b987da8-1237-4cc8-ae05-f343a6134d14",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, it is known that O is a point in the quadrilateral ABCD, OA = OB = OC, angle ABC = angle ADC = 65.0, then angle DAO + angle DCO = ()\nChoices:\nA:90°\nB:110°\nC:120°\nD:165°\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "D",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "a71fe698-ff00-442d-8b71-7d9748fb98ee",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"category": "free-form",
"index": "f5b0a0dd-807e-41e2-980e-caef84978e63",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, AB = AC, AD parallel BC. If angle 1 = 70.0, then the size of angle BAC is ()\nChoices:\nA:40°\nB:30°\nC:.70°\nD:50°\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "A",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "331d05de-7e00-41a7-9101-92b2393cd5a1",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "D",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "e718f6d5-4632-42cb-957f-0d64ee80c2e9",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: As shown in the figure, the height of the solid is 9cm. Find the volume of the solid shown.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "270 \\mathrm{cm}^3",
"style": "rule"
}
|
{
"category": "free-form",
"index": "fb5e5ba8-f768-484f-9b5f-396b7ef77e65",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: As shown in the figure, the height of the prism is 2cm. Find the volume of the solid.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "32 \\mathrm{cm}^3",
"style": "rule"
}
|
{
"category": "free-form",
"index": "3ec5226e-3d75-4026-ae33-bbef5cd4522b",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "(-1.8,10)",
"style": "rule"
}
|
{
"category": "free-form",
"index": "e67a9028-c709-427d-9926-1b7e58637429",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, angle CAD = 35.0, angle AED = 115.0, then the degree of angle B is ()\nChoices:\nA:50°\nB:75°\nC:80°\nD:100°\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "D",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "e4792e4f-ed14-46e4-b8d8-c165ba4aa00b",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, OC perpendicular AB and it intersects circle O at point C. if angle ABC = 25.0, then the size of angle AOB is ()\nChoices:\nA:80°\nB:90°\nC:100°\nD:120°\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "C",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "b4a8efd9-2feb-41d7-ae9f-d7c932a33e43",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Put the ruler, the triangle ruler and the round nut on the desktop as shown in the figure, angle CAB = 60.0, if AD = 6.0, then the outer diameter of the round nut is ()\nChoices:\nA:12cm\nB:24cm\nC:6√{3}cm\nD:12√{3}cm\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "D",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "f14cb0a9-7eb7-4f2f-82d3-edf8352e21dc",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Find y.\nChoices:\nA:\\frac { \\sqrt { 2 } } { 2 }\nB:\\sqrt { 2 }\nC:2 \\sqrt { 2 }\nD:4 \\sqrt { 2 }\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "D",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "ea26aec6-4458-4d5e-af01-71e5605470f5",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Write the equation for g(x).\n\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "g(x)=x^2-3",
"style": "rule"
}
|
{
"category": "free-form",
"index": "f2f2eeeb-6c4a-430e-b947-48386f13bf0a",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: In \\odot O, the diameter is 14. Find the length of \\widehat A B. Round to the nearest hundredth.\nChoices:\nA:7.63\nB:9.77\nC:11.13\nD:14.83\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "984a84e4-7ba6-4c60-aa56-56c4c8f51d27",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Consider the rectangular prism shown.\n\nWrite a fully expanded and simplified expression for the volume of the prism.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "12x^2+144x+384 \\mathrm{m}^3",
"style": "rule"
}
|
{
"category": "free-form",
"index": "bbb47972-96f6-4543-b3a2-46d77ddd4660",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Find the length of side h.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"category": "free-form",
"index": "40dc5088-ecbe-45a3-b3cb-b4b89bc95955",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "\\frac{847}{3} \\mathrm{mm}^3",
"style": "rule"
}
|
{
"category": "free-form",
"index": "345d1b78-e23f-4672-84ed-799ed0fa67bc",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "A",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "a7b90525-ed2b-4bcd-9bc0-5591e799108e",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: In the triangle with hypotenuse length 74, use a Pythagorean Triple to find x.\nChoices:\nA:66\nB:68\nC:70\nD:72\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "C",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "7afeaa36-eb10-44f6-ac2d-22de54091f3e",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, the bottom radius of the cone OB = 0.7, the length of AB is 2.5, then the length of AO is ()\nChoices:\nA:2.4\nB:2.2\nC:1.8\nD:1.6\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "A",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "613f9bf0-a3ae-4feb-878f-faf7bdf6844b",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: The following solid figure has a base radius of 21 m.\n\nFind the surface area.\n\nGive your answer to the nearest two decimal places.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "Surface Area $=9236.28 \\mathrm{~m}^{2}$",
"style": "rule"
}
|
{
"category": "free-form",
"index": "6f0a7a31-186c-4a48-86f3-bdeb21552d65",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Which of the following could be the equation of the graphed line, whose y-intercept is 3 and x-intercept is -8?\nChoices:\nA.$3 x-8 y=24$\nB.$3 x-8 y=-24$\nC.$3 x+8 y=24$\nD.$3 x+8 y=-24$\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "6f248ec2-926a-44c0-96b9-eebd8bd20edc",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, If OA and OB are overlapped to form a cone side, the diameter of the bottom of the cone is ()\nChoices:\nA:2cm\nB:4cm\nC:3cm\nD:5cm\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "957aa3ad-d007-446d-ab4b-967fff1ae8e2",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Ashlynn models the relationship between the temperature $C$ of a hot cup of tea (in degrees Celsius) and time $T$ since the tea was poured into the cup (in minutes) as $C=20+20 \\cdot 0.88^T$. The temperature decreases when time increases, and passes points(0, 40). She wanted to graph the relationship over the first half hour. Here is her work: What mistakes did Ashlynn make when drawing the graph?\nChoices:\nA:Inappropriate scale for $x$-axis\nB:Inappropriate scale for $y$-axis\nC:Wrong/missing label for $x$-axis\nD:Wrong/missing label for $y$-axis\nE:Ashlynn didn't make any mistake\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "E",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "97dd0186-3c9a-4507-a70d-ed700ab683a6",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "22.3",
"style": "rule"
}
|
{
"category": "free-form",
"index": "dfdc24fe-e877-465d-8900-c5be4f366786",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: \\angle J M K \\cong \\angle R M P. Find m \\angle K L P.\nChoices:\nA:20\nB:110\nC:140\nD:160\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "D",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "2f3034ef-2a48-4375-9a5d-cdaf38ce59a6",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Find H P. Round to the nearest hundredth.\nChoices:\nA:2.29\nB:3.35\nC:5.65\nD:6.71\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "D",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "3dfc9250-5672-4647-b873-cc033f877584",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Find the area of the circle shown.\n\nGive your answer as an exact value.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "Area $=121 \\pi \\mathrm{cm}^{2}$",
"style": "rule"
}
|
{
"category": "free-form",
"index": "32ef8259-0ddd-4efc-8886-c599032fee17",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "A",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "34419eb4-5b73-471d-8c8b-afc34c784b65",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Find the surface area of this prism.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "534 \\mathrm{cm}^2",
"style": "rule"
}
|
{
"category": "free-form",
"index": "485778b6-07bb-4d8f-ad33-ee6ee998a28f",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Determine whether the graph represents a one-to-one function.\nChoices:\nA.This is a one-to-one function\nB.This is not a one-to-one function\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "746abdb7-646d-46a1-95cf-f605efc2d0f9",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: As shown in the figure, the height of the prism is 9cm. Find the volume of the prism shown.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "270 \\mathrm{cm}^3",
"style": "rule"
}
|
{
"category": "free-form",
"index": "da82391a-b576-4644-b120-f137cbe7665d",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "A",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "61394622-cd50-4df1-80ae-e341701250ea",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: In isosceles triangle R S T, \\angle S R T is 70 degrees. Find m \\angle R S T.\nChoices:\nA:55\nB:70\nC:75\nD:80\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "A",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "abddf964-40ef-45e2-b2a3-700c81afc3e7",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Two triangles A B C and A E D are similar with a shared vertex A. B C and E D are parallel. Find C D if A C = x - 3, B E = 20, A B = 16, and C D = x + 5.\nChoices:\nA:32\nB:35\nC:36\nD:40\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "D",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "4a465e30-f528-4bad-bd11-443553024e90",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, chord DE parallel AB, then angle BOC is ()\nChoices:\nA:115°\nB:100°\nC:80°\nD:50°\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "A",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "41748563-5e28-4415-979d-38fed8246905",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Find the measure of the side of \\triangle L M N.\nChoices:\nA:9\nB:10\nC:11\nD:12\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "f8c8a95e-f32c-4ac3-8260-f3a41e55056b",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Two triangles W in green and W' in blue are similar according to a reference point F. Find the scale factor from W to W'.\nChoices:\nA:\\frac { 1 } { 3 }\nB:\\frac { 2 } { 3 }\nC:\\frac { 3 } { 4 }\nD:\\frac { 3 } { 2 }\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "A",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "1e2a0c64-7019-40a2-9395-b74030d2c1f7",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Find the centre of the figure. Write your answer in the form ( _ , _ ).\n\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "(-3,-3)",
"style": "rule"
}
|
{
"category": "free-form",
"index": "5381e1a2-5692-49c0-a3ea-2b60acdee114",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "D",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "8bce1772-d68d-4cfb-9b84-93fa5c88831d",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "D",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "12e8ab84-1fd2-470b-9093-774e1f6612cf",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "3c84b20a-e9b5-40c3-9bbb-324dc2dc077c",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Write an equation for the graphed function f.\n\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "When x<=-3 $f(x) = -x-5$, when x>3, $f(x)=x+1$",
"style": "rule"
}
|
{
"category": "free-form",
"index": "584c4225-36cb-4ac3-8efd-045f3087f2be",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Find x so that the quadrilateral is a parallelogram.\nChoices:\nA:3\nB:5\nC:12\nD:18\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "a35c36cc-9b52-4162-931f-a9a880498fbb",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, AC = 4.0, AB = 5.0, then the value of cosA is ()\nChoices:\nA:\\frac{3}{5}\nB:\\frac{4}{5}\nC:\\frac{3}{4}\nD:\\frac{4}{3}\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "fd525384-822d-434f-a06b-a26270eac1e0",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Do the following graph have inverse functions?\nChoices:\nA:Yes\nB:No\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "2f8c7311-6bbb-4c07-b976-757b71cf6310",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: There is a right triangle with the length of hypotenuse as 5 and other sides as x and 3 \\sqrt { 2 }. Find x.\nChoices:\nA:\\sqrt { 7 }\nB:3 \\sqrt { 2 }\nC:3 \\sqrt { 3 }\nD:3 \\sqrt { 6 }\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "A",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "fb2a0280-e2fe-4c05-b6f3-9661cc0317ad",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, in triangle ABC, angle BAC = 90.0, AD perpendicular BC at point D, AE bisects angle DAC, angle B = 50.0, so the degree of angle DAE is ()\nChoices:\nA:45°\nB:20°\nC:30°\nD:25°\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "D",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "00516265-bf0c-40d6-96ad-a8e9bf04e201",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: A system of two equations: $x^2+y^2=9$ and $y=x^2-4$ and their graphs in the \nxy-plane are shown above. How many solutions \ndoes the system have?\nChoices:\nA:One\nB:Two\nC:Three\nD:Four\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "D",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "e2af9726-7c31-47d1-99e9-0ae2e5d3c853",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, the right triangle ABC and the equilateral triangle ABD are respectively drawn with the line segment AB as the edge, where angle ACB = 90.0. Connect CD, when the length of CD is the largest, the size of angle CAB is ()\nChoices:\nA:75°\nB:45°\nC:30°\nD:15°\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "e3e23e69-8e14-4c66-8d89-1b9a5599dd1a",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Write an equation for the graphed function f.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "When x<=3 $f(x)=-x+1$, when x>3, $f(x)=x-5$",
"style": "rule"
}
|
{
"category": "free-form",
"index": "1292ce0a-7cc4-404e-bf50-b12693ef8a74",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Write the set of numbers represented on the number line in interval notation.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "(-\\infty, 4]",
"style": "rule"
}
|
{
"category": "free-form",
"index": "d872c891-e149-409e-8ec6-68628a8cf54c",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?\nChoices:\nA.10\nB.8\nC.6\nD.4\nE.2\n\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "D",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "04d039f6-522c-4143-ae01-c90611a7e3c8",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: State the radius.\n\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"category": "free-form",
"index": "1d29ac43-f3f0-4ce5-93b6-8900597b1520",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Write the domain and range of the function using interval notation.\n\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "domain: [-6,-\\frac{1}{6}] \\cup[\\frac{1}{6}, 6] and range: [-6,-\\frac{1}{6}\\right] \\cup[\\frac{1}{6}, 6]",
"style": "rule"
}
|
{
"category": "free-form",
"index": "e6055ac1-4350-4853-b8ec-41b08894670f",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: The Sine function is graphed. It passes through (0,0), (90,1), (180,0), (270,-1), and (360,0). It is symmetric about the origin. A black vertex labeled on the function at (90,1). Consider the graph of y=\\sin x. Its first maximum point for x\\ge 0 is at \\left(90^\\circ ,1\\right).\n\nBy considering the transformation that has taken place, state the coordinates of the first maximum point of each of the given functions for x\\ge 0.\n\ny=5\\sin x\n\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "y=\\sin x=\\left(90^\\circ ,5\\right)",
"style": "rule"
}
|
{
"category": "free-form",
"index": "e1bd6584-a89a-444f-9522-30bd536c4076",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Which of the following could be the equation of the graphed line?\nChoices:\nA.$3 x-8 y=24$\nB.$3 x-8 y=-24$\nC.$3 x+8 y=24$\nD.$3 x+8 y=-24$\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "cdf482b9-b69f-48bc-9043-7b4696ecec32",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Given the diagram shown, find a to the nearest degree.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "62^\\circ ",
"style": "rule"
}
|
{
"category": "free-form",
"index": "dd6839b4-457d-4f2a-ba9d-384cca099079",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: A circle with a radius of $50 \\mathrm{~cm}$. Find the area of the circle shown.\n\nGive your answer as an exact value.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "Area $=2500 \\pi \\mathrm{cm}^{2}$",
"style": "rule"
}
|
{
"category": "free-form",
"index": "804a9280-8e5a-4ed7-a907-6103bda35a17",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "C",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "d3044a7e-1268-4d34-bc77-44d635ec0a68",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, triangle ABC is the inscribed triangle of circle O, angle C = 30.0, the radius of circle O is 5.0, if point P is a point on circle O, in triangle ABP, PB = AB, then the length of PA is ( )\nChoices:\nA:5\nB:\\frac{5√{3}}{2}\nC:5√{2}\nD:5√{3}\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "D",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "2f781035-dd1b-4e99-837e-79d60e22164b",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Determine if this relation is a one-to-one function.\nChoices:\nA:This is a one-to-one function\nB:This is not a one-to-one function\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "c6a98107-fd95-4614-9d5c-63f4122b7a87",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: A circle the center of the circle is the origin and the radius of the circle is 1. The point $P$ on the unit circle has the coordinates $(x, y)$. What is the value of $\\sec \\theta$ ?\nChoices:\nA:$\\frac{1}{x}$\nB:$x$\nC:$y$\nD:$\\frac{1}{y}$\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "A",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "0de0911a-81c5-48a4-a96b-88e4b3a7d1e4",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Find the total surface area of the solid figure shown.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "608 \\mathrm{cm}^2",
"style": "rule"
}
|
{
"category": "free-form",
"index": "75d15e99-7a5e-4532-9710-56976aa6e1d0",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: The figure has two segments. Use the vertical line test to determine whether the curve is the graph of a function.\nChoices:\nA:Yes\nB:No\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "A",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "3cdc751e-2f4f-4ff2-b707-9eaf2723c24d",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: The height of solid figure is 22 cm.\n\nHence, find the total surface area of the shape.\n\nGive our answer to two decimal places.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "Total surface area $=4194.03 \\mathrm{~cm}^{2}$",
"style": "rule"
}
|
{
"category": "free-form",
"index": "88dc5504-5c05-4fb1-9d7f-77cc7db984ec",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: The following is a right pyramid on a square base. A right pyramid has its apex aligned directly above the centre of its base.\n\nUse your answer from part (a) to find the length of VW, the perpendicular height of the pyramid correct to two decimal places.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "23.41",
"style": "rule"
}
|
{
"category": "free-form",
"index": "82772e9b-e2b8-4e5f-a03e-c8d2e3d6c065",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, then the value of sinB is equal to ()\nChoices:\nA:\\frac{4}{3}\nB:\\frac{3}{4}\nC:\\frac{4}{5}\nD:\\frac{3}{5}\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "C",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "d96443ee-618a-46e9-b95f-1adfe637747c",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: In this question we will find the surface area of the following solid hemispher with a radius of 6:\n\nWhat is the area of the circular base of the hemisphere?\n\nRound your answer to three decimal places.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "Area $=113.097$ units $^{2}$",
"style": "rule"
}
|
{
"category": "free-form",
"index": "8fbd788d-112e-4bf5-b34f-242d5e5a3f39",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "$h=58$",
"style": "rule"
}
|
{
"category": "free-form",
"index": "badafe1e-a4f0-4c1b-8a49-10057ce96c1f",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: In the figure, a regular polygon is within in a circle. Find the measure of a central angle.\nChoices:\nA:30\nB:60\nC:90\nD:120\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "98fb2ea1-624e-4307-8545-e100faab9676",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Q N and P O are parallel. M Q = 5, M N = 6. Find Q P.\nChoices:\nA:2\nB:3.6\nC:5\nD:6\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "d9739fe3-3aaf-4246-936e-1465ad7143ee",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: The function $f(x)=5 x-x^2$ gives the number of mosquitos in the forest (in millions), and the function $g(x)=3 x-0.5 x^2$ gives the number of bats (in millions). In both equations $x$ represents rainfall (in centimeters). When there is $0 \\mathrm{~cm}$ of rainfall, the number of mosquitos is the same as the number of bats. What is another rainfall amount where the number of mosquitos is the same as the number of bats?\nRound your answer to the nearest half centimeter.\n\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"category": "free-form",
"index": "1ced040d-f641-40ff-81e2-18f1c4baaf03",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: The following is a right pyramid on a square base with side length 12cm. A right pyramid has its apex aligned directly above the centre of its base.\n\nThe edge length VA is 23cm.\nNow, if the size of \\angle VAW is \\theta °, find \\theta to two decimal places.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "68.34",
"style": "rule"
}
|
{
"category": "free-form",
"index": "93aca732-67e6-4d57-b770-ec3c78d7c2e8",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, the known chord BC = 8.0, DE = 6.0, angle BAC + angle EAD = 180.0, then the radius of circle A is ()\nChoices:\nA:10\nB:6\nC:5\nD:8\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "C",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "bffc428b-908e-4337-acd9-868b9e849cc8",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Calculate the area of the following triangle.\n\nRound your answer to two decimal places.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "60.21 \\mathrm{m}^2",
"style": "rule"
}
|
{
"category": "free-form",
"index": "58b9d0e1-4e44-4825-8ecb-c6c82ac96bf5",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: \\triangle R S T \\cong \\triangle A B C. Find x.\nChoices:\nA:8\nB:10\nC:13\nD:21\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "99333e96-f6d6-4dbf-b38d-770568f2368c",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Write an equation for the transformation of f(x)=|x| as shown in the figure.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "f(x)=\\frac{1}{2}|x+2|+1",
"style": "rule"
}
|
{
"category": "free-form",
"index": "de291ef0-5ca2-4aec-a9fb-7e56cce1ea8d",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>According to the question shown in the image, please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "Surface area $=2 \\pi(R+r)(L+R-r)$ square units",
"style": "rule"
}
|
{
"category": "free-form",
"index": "fa6ee661-5124-41a8-8c43-77778645dc04",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: Consider the adjacent figure:\n\nSolve for the exact value of x.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "\\frac{\\sqrt{30}}{2}",
"style": "rule"
}
|
{
"category": "free-form",
"index": "dc7edd81-6646-43cc-a468-d5d185c6710f",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: The graphs of logarithm function $f(x)=\\ln x$ passing (1,4) and logarithm function $g(x)$ passing (1,0) are shown below. $g(x)$ is a transformation of $f(x)$.\n\nHence state the equation of $g(x)$.\n\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "$g(x)=\\ln x+4$",
"style": "rule"
}
|
{
"category": "free-form",
"index": "e1cbb97b-73a6-46ad-8e31-10585ad41d17",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: Find the value of x in the diagram.\nChoices:\nA:68\nB:78\nC:79\nD:136\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "A",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "036d05d9-579a-4936-8603-49d8579aa535",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>According to the question shown in the image, please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "C",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "2f70f66e-9b07-46b6-9759-42ff27985669",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.\nQuestion: A solid with a radius of 2.5cm and a height of 10cm contains balls. What is the surface area of each ball? Give your answer correct to one decimal place.\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "Surface area $=78.5 \\mathrm{~cm}^{2}$",
"style": "rule"
}
|
{
"category": "free-form",
"index": "186afee2-93a4-4567-b0c6-5325874e142f",
"options": "[]"
}
|
|
MathVerse_MINI
|
[
{
"content": "<image>Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.\nQuestion: As shown in the figure, triangle ABC is the inscribed triangle of circle O, then the degree of angle ACB is ()\nChoices:\nA:35°\nB:55°\nC:60°\nD:70°\nPlease try to answer the question with short words or phrases or corresponding choice option if possible.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "B",
"style": "rule"
}
|
{
"category": "multi-choice",
"index": "1f59a09a-61ef-4430-a57f-fae9cbddd94e",
"options": "[]"
}
|
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