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DynaMath
[ { "content": "<image>Is the function surjective? choice: (A) Yes (B) 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": "multiple choice", "index": "8c7092bb-585f-452d-8b6f-c7eaaca34c46", "options": "[]" }
DynaMath
[ { "content": "<image>What is on the north side of home? choice: (A) university (B) restaurant (C) park (D) library\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": "multiple choice", "index": "acfb1637-b33b-43d0-b785-3d19dc74076e", "options": "[]" }
DynaMath
[ { "content": "<image>If AD = 5, AB = 2, DC = 5, what is the area of trapezoid ABCD?\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": "17.5", "style": "rule" }
{ "category": "text", "index": "1961f862-ea64-4bf3-9e0b-287c87df1da1", "options": "[]" }
DynaMath
[ { "content": "<image>According to the markov chain shown in the image, what is the probability of the event 'A to B'?\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": "0.5", "style": "rule" }
{ "category": "text", "index": "af79e299-89dc-4a6f-93f7-2a61f0f2d757", "options": "[]" }
DynaMath
[ { "content": "<image>Find the chromatic number of the following graph.\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": "float", "index": "876f540d-b542-4e14-9636-82e6fefaf965", "options": "[]" }
DynaMath
[ { "content": "<image>The blue curve is the function transformed from black curve. What transformation is applied to the original function? choice: (A) shift up (B) shift down (C) shift left (D) shift 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": "A", "style": "rule" }
{ "category": "multiple choice", "index": "5510341f-e5c4-4e0e-8ae6-6771017ce1ec", "options": "[]" }
DynaMath
[ { "content": "<image>Is the red slice smaller than the blue slice? Choices: (A) Yes (B) 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": "multiple choice", "index": "2e9b9716-13ad-4845-9c66-9e8628cfcd85", "options": "[]" }
DynaMath
[ { "content": "<image>How many nodes are in this empty graph?\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", "style": "rule" }
{ "category": "float", "index": "d8b8e192-19b2-481f-bf58-195d6012e2dd", "options": "[]" }
DynaMath
[ { "content": "<image>what is the trapezoidal approximation of the integral of f(x) from 1 to 4?\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": "118.5", "style": "rule" }
{ "category": "text", "index": "c1907d7a-c682-46d1-9e1a-08fd9ce1a4dc", "options": "[]" }
DynaMath
[ { "content": "<image>The velocity vs. time graph for the motion of a car on a straight track is shown in the diagram. The thick line represents the velocity. Assume that the car starts at the origin x = 0 and the positive velocity represents moving forward. The position of car at t=10s is ____. choice: (A) in front of the start (B) behind the start (C) at the start\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": "multiple choice", "index": "9c279c0c-9189-4cd9-b25c-c3d56c5adeda", "options": "[]" }
DynaMath
[ { "content": "<image>Use the graph to answer the question below. Which month is the hottest on average in Cape Town?\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": "Jan", "style": "rule" }
{ "category": "text", "index": "e374e709-b4b8-417a-a160-4fc022fa441f", "options": "[]" }
DynaMath
[ { "content": "<image>The truncated right circular cone below has a large base radius 8 cm and a small base radius of 3 cm. The height of the truncated cone is 4 cm. What is the volume of this 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": "406.3126", "style": "rule" }
{ "category": "text", "index": "a58fa930-f278-4c6e-946c-2d99b882449d", "options": "[]" }
DynaMath
[ { "content": "<image>Matrices A, B, and C are given in the image. What is the trace of the matrix (A * B * 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": "502", "style": "rule" }
{ "category": "float", "index": "c21cfa41-dc7e-457d-abb1-282d2f990cb0", "options": "[]" }
DynaMath
[ { "content": "<image>What is the global minimum of this 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": "-1", "style": "rule" }
{ "category": "text", "index": "c6c147be-dd29-443e-8822-79768e62f62a", "options": "[]" }
DynaMath
[ { "content": "<image>The sum of the three numbers on each of the two lines of the cross is 67. Find the number in the center.\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": "9", "style": "rule" }
{ "category": "float", "index": "676b0e4f-2e31-42a4-8cfc-688af096fc1d", "options": "[]" }
DynaMath
[ { "content": "<image>Which region had the lowest average monthly temperature in winter? Choices: (A) Region 1 (B) Region 2 (C) Both\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": "multiple choice", "index": "b2279373-19ba-4e24-9148-5f65168bf81c", "options": "[]" }
DynaMath
[ { "content": "<image>The Pareto chart below represents the contributions of different categories. Which category contributes to the highest percentage of the total? Choices: (A) A (B) B (C) C (D) D (E) E\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": "multiple choice", "index": "6bac1ea6-fbb7-4445-a623-2a1c71aa74ce", "options": "[]" }
DynaMath
[ { "content": "<image>The histograms below represent donation amounts in different countries. Which country has the most people to donate between $50 and $100? Choices: (A) USA (B) Canada (C) UK (D) Australia\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": "multiple choice", "index": "9c14bceb-b5c5-475d-8315-311f93266efb", "options": "[]" }
DynaMath
[ { "content": "<image>The tree shown in image reserves an expression. Calculate this expression and output the result.\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": "29714", "style": "rule" }
{ "category": "float", "index": "56772eab-9436-496c-8a2c-e6f9f5a6d8e9", "options": "[]" }
DynaMath
[ { "content": "<image>What is the purple curve? choice: (A) sigmoid function (B) tanh function (C) LeakyRelu 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": "A", "style": "rule" }
{ "category": "multiple choice", "index": "5c7bad54-9407-4c8f-9ad2-b5fae9ea334d", "options": "[]" }
DynaMath
[ { "content": "<image>The derivative of f(x) at x=1 is ____ that at x=-1 choice: (A) larger than (B) smaller than (C) equal to\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": "multiple choice", "index": "78ce20c9-8c31-49cc-bb22-bda792844260", "options": "[]" }
DynaMath
[ { "content": "<image>The table below represents the scores of students in different subjects. What is the variance of the scores for Student 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": "122.9167", "style": "rule" }
{ "category": "text", "index": "22bac7bc-d9a6-4e82-b8e5-db4f0641f2d5", "options": "[]" }
DynaMath
[ { "content": "<image>How many points are outside the ellipse?\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": "10", "style": "rule" }
{ "category": "float", "index": "2664a1bc-f0fc-43f0-8a2b-a5ca37b5ecd6", "options": "[]" }
DynaMath
[ { "content": "<image>Find the missing number in the last node.\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": "202", "style": "rule" }
{ "category": "float", "index": "07348c05-3409-4cc4-9a3c-2e49ed9332c9", "options": "[]" }
DynaMath
[ { "content": "<image>The clock shows the time. What time is it? Answer in the form of __:__.\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": "23:38", "style": "rule" }
{ "category": "text", "index": "58f73d36-aa2e-44dc-a655-5239483211be", "options": "[]" }
DynaMath
[ { "content": "<image>Find the surface area of the rectangular 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": "518", "style": "rule" }
{ "category": "float", "index": "ce310ecf-0f17-4d40-b954-f762347dd784", "options": "[]" }
DynaMath
[ { "content": "<image>Which of the following numbers is the closest to the value of f(x) at x=1? choice: (A) 2 (B) 1 (C) 0 \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": "multiple choice", "index": "d2ccba7e-1e2c-46e9-b9e8-1ac5c916f281", "options": "[]" }
DynaMath
[ { "content": "<image>What is the lowest heart rate recorded during the workout session?\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": "90", "style": "rule" }
{ "category": "float", "index": "e3b17a60-7185-4580-b428-6c45d35e6bfc", "options": "[]" }
DynaMath
[ { "content": "<image>In the addition sum to the right, three digits have been replaced with star. What is the value of star?\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": "5", "style": "rule" }
{ "category": "float", "index": "444bad70-f500-468c-befe-0605634ee654", "options": "[]" }
DynaMath
[ { "content": "<image>Matrix A is given in the image. What is the sum of all elements in the matrix 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": "27.1", "style": "rule" }
{ "category": "text", "index": "38ce98a9-c467-4444-bd45-99384abe26c8", "options": "[]" }
DynaMath
[ { "content": "<image>In the diagram, triangle ABC is right-angled at C. Also, points M, N and P are the midpoints of sides BC, AC and AB, respectively. If the area of triangle APN is 4, then what is the area of triangle ABC? \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": "16", "style": "rule" }
{ "category": "float", "index": "a72e9f73-53ee-483f-83b8-5a7d46ee403b", "options": "[]" }
DynaMath
[ { "content": "<image>The ♠ is drawn on the sheet. We turn the sheet clockwise through 90° and then turn counter-clockwise 180°. Which figure can we now see? choice: (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": "multiple choice", "index": "45ca3547-43e0-46d8-a44c-b070ae0dce8c", "options": "[]" }
DynaMath
[ { "content": "<image>Which function grows faster? choice: (A) Orange (B) Blue\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": "multiple choice", "index": "f7219808-ee65-43d1-a3c4-eb38725195a7", "options": "[]" }
DynaMath
[ { "content": "<image>Given triangle △ABC with internal angle bisectors OB and OC intersecting at point O, if ∠A = 108°, find the measure of ∠BOC.\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": "144.0", "style": "rule" }
{ "category": "text", "index": "eef07341-645c-4408-aed2-24cf7ec1a272", "options": "[]" }
DynaMath
[ { "content": "<image>Move the ruler to measure the length of the line to the nearest centimeter. The line is about (_) centimeters long. \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": "8", "style": "rule" }
{ "category": "float", "index": "9e8444c3-644a-4a9b-8ac9-2e21ffd47be8", "options": "[]" }
DynaMath
[ { "content": "<image>According to image, a card is randomly selected from a standard 52-card deck. Find the probability that the next card selected after selecting this card from the deck is a heart.\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": "0.2549", "style": "rule" }
{ "category": "text", "index": "26762d7f-ac9b-4983-8659-69c06772792a", "options": "[]" }
DynaMath
[ { "content": "<image>The box plot below represents the customer satisfaction scores for different branches. Which branch has the smallest interquartile range (IQR) for customer satisfaction scores? Choices: (A) Branch A (B) Branch B (C) Branch C (D) Branch 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": "multiple choice", "index": "5171bba7-28d3-4589-b949-f20e383f3dd5", "options": "[]" }
DynaMath
[ { "content": "<image>Is the following graph a planar graph? choice: (A) Yes (B) 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": "multiple choice", "index": "d2e773c3-5b55-4180-a6a4-cf4b5d976c80", "options": "[]" }
DynaMath
[ { "content": "<image>Is purple greater orange? Choices: (A) yes (B) 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": "multiple choice", "index": "188693d8-2f84-46e1-a179-616b67f5b97e", "options": "[]" }
DynaMath
[ { "content": "<image>Let P be a point on side BC of the square ABCD, PF⊥AP, and CF bisects ∠DCE. PA = 18,find the length of PF\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": "18", "style": "rule" }
{ "category": "float", "index": "25397627-6138-4e92-a85b-b4ce22d713bc", "options": "[]" }
DynaMath
[ { "content": "<image>Given positive integers m, n, and o. From the system equation in the image. What is the value of m * n - o?\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": "52", "style": "rule" }
{ "category": "float", "index": "4c40b914-b205-4c85-bcec-67e907dd5252", "options": "[]" }
DynaMath
[ { "content": "<image>Which type of function best describes the correlation? (A) Exponential (B) Logarithmic (C) Sine\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": "multiple choice", "index": "d1503c87-52e5-4434-940a-068c74a5ad5e", "options": "[]" }
DynaMath
[ { "content": "<image>If the red point is reflected in y-axis, what are the coordinates of its image? Please answer in the form (_, _) \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": "(3.000, -1.000)", "style": "rule" }
{ "category": "text", "index": "9aa37bef-c48e-427d-882b-caa5d22b2f37", "options": "[]" }
DynaMath
[ { "content": "<image>Where is the local min or max of the parabola shown in image at?\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": "0.3333", "style": "rule" }
{ "category": "text", "index": "964f54b4-4774-4760-bf0d-9f03f4cddbad", "options": "[]" }
DynaMath
[ { "content": "<image>What is the volume of this azure right square pyramid?\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": "2800.0", "style": "rule" }
{ "category": "text", "index": "30eb24aa-3043-49f0-beb2-0c1f4081c87a", "options": "[]" }
DynaMath
[ { "content": "<image>Which elements are unique to set A?\nA: [10]\nB: [4, 7, 8, 10, 11, 12, 15, 17]\nC: [4, 7, 8, 11, 12, 15, 17]\nD: [2, 5, 9, 14, 18]\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": "multiple choice", "index": "5faf75a2-fda6-47a6-b504-d6e757f753a0", "options": "[]" }
DynaMath
[ { "content": "<image>What is the function value when x = 1?\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": "text", "index": "d4ad8e9a-a7d6-4da6-9b3f-8e6a8fecb20c", "options": "[]" }
DynaMath
[ { "content": "<image>The tree shown in image reserves an expression. Calculate this expression and output the result.\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": "191464", "style": "rule" }
{ "category": "float", "index": "4b549b06-0349-4933-a372-9fda1a8ee3eb", "options": "[]" }
DynaMath
[ { "content": "<image>The density plot below represents different datasets. Which dataset has the lowest variance? Choices: (A) Dataset A (B) Dataset B (C) Dataset C (D) Dataset 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": "multiple choice", "index": "b5f14e4e-dd4b-4551-83a2-bb3c660836f7", "options": "[]" }
DynaMath
[ { "content": "<image>If the area of the rectangle above is 15, what is the 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": "4", "style": "rule" }
{ "category": "float", "index": "3c48ec79-4a4f-4f5c-8ce2-a03b99ca1296", "options": "[]" }
DynaMath
[ { "content": "<image>Find the missing 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": "550", "style": "rule" }
{ "category": "float", "index": "5da02e8a-6ff5-475b-8989-57c7d278038b", "options": "[]" }
DynaMath
[ { "content": "<image>Which month had the highest number of visitors to the website?\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": "Feb", "style": "rule" }
{ "category": "text", "index": "5ec86dcf-96f9-465a-98ca-80c2599d0505", "options": "[]" }
DynaMath
[ { "content": "<image>Matrices A, B, and C are given in the image. What is the trace of the matrix (A + B + 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": "-16", "style": "rule" }
{ "category": "text", "index": "643c8f24-f092-4e8d-922e-452a68d2794e", "options": "[]" }
DynaMath
[ { "content": "<image>If the black point is reflected in x-axis, what are the coordinates of its image? Please answer in the form (_, _) \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": "(-6, 0)", "style": "rule" }
{ "category": "text", "index": "49ae859e-d7e0-4dcf-968c-593aefa1d3e7", "options": "[]" }
DynaMath
[ { "content": "<image>As shown in the figure, points A, O, and B are collinear, and DO is perpendicular to CO. If ∠BOC = 52°, what is the measure of ∠AOD? \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": "38", "style": "rule" }
{ "category": "float", "index": "681f5a3c-bbf0-437a-8e3a-b2dcff814cb2", "options": "[]" }
DynaMath
[ { "content": "<image>The boxen plot below represents different categories. Which category has the highest median value? Choices: (A) A (B) B (C) C (D) D (E) E\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": "multiple choice", "index": "a6027218-02d5-4123-b96a-ab3a03c76bd7", "options": "[]" }
DynaMath
[ { "content": "<image>What is the sum of external angles in this polygon?\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": "360", "style": "rule" }
{ "category": "float", "index": "2e43515b-f0dd-4a97-9fed-d533ec9df249", "options": "[]" }
DynaMath
[ { "content": "<image>The joint distribution of S and P is given by the following table. Compute E[P], the expectation of P. \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": "2.21", "style": "rule" }
{ "category": "text", "index": "4493f521-b9ab-417f-b728-e3e5128e1eba", "options": "[]" }
DynaMath
[ { "content": "<image>Matrix A is given in the image. What is the trace of the matrix 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": "5.12", "style": "rule" }
{ "category": "text", "index": "0484979f-9e34-49e7-b6d2-0d7de070297c", "options": "[]" }
DynaMath
[ { "content": "<image>Is this function a period function? choice: (A) Yes (B) 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": "multiple choice", "index": "c8fa55ce-a842-45c2-9345-f55c143908cf", "options": "[]" }
DynaMath
[ { "content": "<image>The box plot below represents the customer satisfaction scores for different branches. Which branch has the smallest interquartile range (IQR) for customer satisfaction scores? Choices: (A) Branch A (B) Branch B (C) Branch C (D) Branch 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": "multiple choice", "index": "36eb7fe3-af7b-460f-80f8-68e4f3640355", "options": "[]" }
DynaMath
[ { "content": "<image>On which color is the spinner more likely to land?\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": "White", "style": "rule" }
{ "category": "text", "index": "60fd06b1-cccd-4ae5-8b34-db04778475fb", "options": "[]" }
DynaMath
[ { "content": "<image>What is the maximum number of edges to remove so that the following graph is still connected?\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": "0", "style": "rule" }
{ "category": "float", "index": "87aac473-e2de-4b48-86ea-6cbaa951895e", "options": "[]" }
DynaMath
[ { "content": "<image>What is the area enclosed by parabola and x-axis?\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": "57.1667", "style": "rule" }
{ "category": "text", "index": "b1b3f48a-8c44-4b19-b90f-49561b481de2", "options": "[]" }
DynaMath
[ { "content": "<image>Determine for which values of x=a the function is continuous but not differentiable at x=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": "1", "style": "rule" }
{ "category": "float", "index": "ebe31a3e-0189-42d1-b7c5-17e1fc36cbce", "options": "[]" }
DynaMath
[ { "content": "<image>Ball 1 and ball 2 follow the paths shown, where the darkblue path is Ball 1 and the green path is Ball 2. Which ball is in the air for a longer time? Assume that you can ignore air resistance for this problem. choice: (A) Ball 1 (B) Ball 2 (C) The amount time of balls in air is same \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": "multiple choice", "index": "a3d6d398-da9d-49c0-a238-acc1729a6c3d", "options": "[]" }
DynaMath
[ { "content": "<image>Which node will be visited first if using pre-order DFS on the following tree graph?\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": "multiple choice", "index": "4a3f1e0b-1468-4aa6-855a-ccf021a614cf", "options": "[]" }
DynaMath
[ { "content": "<image>The table below represents the number of students in each grade at an elementary school. What is the total number of students in Grade 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": "460", "style": "rule" }
{ "category": "float", "index": "f4c36104-10e2-4229-94b2-165179c22319", "options": "[]" }
DynaMath
[ { "content": "<image>What fraction of the shape is azure?\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": "0.0833", "style": "rule" }
{ "category": "text", "index": "21171f7d-8e4a-4f73-b9ab-a245c238c26a", "options": "[]" }
DynaMath
[ { "content": "<image>The function f(x) is quadratic function. What is the value of f(x) when x = 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": "-52", "style": "rule" }
{ "category": "text", "index": "7c323c30-c6cb-4e1c-9fa3-843189535bf2", "options": "[]" }
DynaMath
[ { "content": "<image>Find the chromatic index of the following graph.\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": "float", "index": "b8a9cb60-4b19-4d2d-a735-ff44793e5d2d", "options": "[]" }
DynaMath
[ { "content": "<image>What is the vertical asymptote of the function shown in image?\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": "x = 0", "style": "rule" }
{ "category": "text", "index": "7f8b8361-667d-41d6-9c5c-1d98554dee4f", "options": "[]" }
DynaMath
[ { "content": "<image>Is Coral the roughest? choice: (A) Yes (B) 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": "multiple choice", "index": "ec5b8dc8-f7de-45fa-95f0-24fd23332b68", "options": "[]" }
DynaMath
[ { "content": "<image>Is the distance between the two orange lines as long as the distance between the two purple lines? choices: (A) Yes (B) 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": "multiple choice", "index": "df2faf1f-a6b6-4fa5-b477-c432e4f9eef2", "options": "[]" }
DynaMath
[ { "content": "<image>What is the sum of accuracies of the bar group poison for all the datasets?\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": "18", "style": "rule" }
{ "category": "float", "index": "0da97360-79f9-4fe8-b662-8f71147fe751", "options": "[]" }
DynaMath
[ { "content": "<image>What is the area of the part enclosed by four rectangles?\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": "169", "style": "rule" }
{ "category": "float", "index": "a3fa18b9-f9b1-4c58-a246-e444f5936d1b", "options": "[]" }
DynaMath
[ { "content": "<image>The function value f(1) is ____ f(-1) choice: (A) smaller than (B) larger than (C) equal to\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": "multiple choice", "index": "789c6414-21aa-44a4-82b7-0b8df544967f", "options": "[]" }
DynaMath
[ { "content": "<image>Is the following graph containing a Euler circuit? choice: (A) Yes (B) 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": "multiple choice", "index": "2b85c292-6165-47e2-8006-dfb56a35e821", "options": "[]" }
DynaMath
[ { "content": "<image>Write the numbers 1, 2, 3, 4, 5 in the square 5x5 in such a way that every row and every column has each number. How many kinds of number can be put to replace '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": "3", "style": "rule" }
{ "category": "float", "index": "15deb417-8c5a-4cda-8798-88993a533766", "options": "[]" }
DynaMath
[ { "content": "<image>The radar chart below represents different categories. Which category has the lowest value? Choices: (A) A (B) B (C) C (D) D (E) E\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": "multiple choice", "index": "de850123-341f-41a7-8a53-84796e6bae01", "options": "[]" }
DynaMath
[ { "content": "<image>The motion of a car in a straight line is shown in the graph below. After 10 seconds, how far is the car from the starting point? \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": "49.5", "style": "rule" }
{ "category": "text", "index": "ae1bed45-069a-42b4-9eef-beb2a5643726", "options": "[]" }
DynaMath
[ { "content": "<image>The truncated right circular cone below has a large base radius 6 cm and a small base radius of 2 cm. The height of the truncated cone is 7 cm. What is the volume of this 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": "381.1799", "style": "rule" }
{ "category": "text", "index": "963b3985-423f-4d20-bafc-059e60e72570", "options": "[]" }
DynaMath
[ { "content": "<image>Four identical pink right triangles form a big square. Given that the area of a pink triangle is 32.0, and the area of white square is 128, find the area of the big square.\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": "256.0", "style": "rule" }
{ "category": "text", "index": "6d1eaf7c-540c-46f5-ae6e-2b68645d5cd9", "options": "[]" }
DynaMath
[ { "content": "<image>What is the global maximum of this 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": "4", "style": "rule" }
{ "category": "float", "index": "6885d094-b2c7-4417-b991-b97cbb139323", "options": "[]" }
DynaMath
[ { "content": "<image>what is the first edge added to the MST when running Kruskal's Algorithm? In the case of a tie, choose the edge which comes first in alphabetical order i.e. if you had to choose between AG and AD, then you would choose AD first. \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": "BF", "style": "rule" }
{ "category": "text", "index": "db11d7e5-ab1a-4076-be93-f5768e7dad9f", "options": "[]" }
DynaMath
[ { "content": "<image>If the area of the circle is 22pi, what is the area of the square in circle?\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": "44", "style": "rule" }
{ "category": "float", "index": "0b534756-b4cd-4cac-8175-7ee4d08cc07e", "options": "[]" }
DynaMath
[ { "content": "<image>The image shows the derivative of f(x). Where is the local min or max of f(x) at?\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": "-1.0", "style": "rule" }
{ "category": "text", "index": "9047020e-66ae-477f-af09-4181b1d48bb1", "options": "[]" }
DynaMath
[ { "content": "<image>Are the red line and the blue line perpendicular to each other? choice: (A) Yes (B) 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": "multiple choice", "index": "a40381b4-10be-4d89-8ed8-f7feb3a3b565", "options": "[]" }
DynaMath
[ { "content": "<image>Find the value of z1 * z2.\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": "float", "index": "5ab8f886-d99d-4541-bf40-6e48142d92c6", "options": "[]" }
DynaMath
[ { "content": "<image>Which month shows the greatest increase in temperature from the previous month?\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": "May", "style": "rule" }
{ "category": "text", "index": "4da96560-6407-48c4-a000-0c3475656ff3", "options": "[]" }
DynaMath
[ { "content": "<image>Which node will be secondly visited if using post-order DFS on the following tree graph?\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": "multiple choice", "index": "d8790bcf-19ba-4362-8fb5-4a3315c5feff", "options": "[]" }
DynaMath
[ { "content": "<image>Matrix A and B are given in the image. What is the trace of the matrix (A + B)?\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": "float", "index": "d03f2848-4fde-41a5-9c51-291d018d8be8", "options": "[]" }
DynaMath
[ { "content": "<image>A three-quarter sector of a circle of radius 4 inches together with its interior can be rolled up to form the lateral surface area of a right circular cone by taping together along the two radii shown. What is the volume of the cone in cubic inches? \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": "24.9356", "style": "rule" }
{ "category": "text", "index": "f27a0c8f-8668-46bf-be03-497ea2b392cf", "options": "[]" }
DynaMath
[ { "content": "<image>Is the following directed graph a tournament? choice: (A) Yes (B) 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": "multiple choice", "index": "1f90926b-fa9a-4fb3-a6c0-f5783cf7c149", "options": "[]" }
DynaMath
[ { "content": "<image>The line L1 and L2 are parallel to each other. Is ∠A the same as ∠B? choice: (A) Yes (B) 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": "multiple choice", "index": "9f29e2e8-4b4c-42e0-b2f3-52c830b36cee", "options": "[]" }
DynaMath
[ { "content": "<image>The image shows the second derivative of cubic function f(x). Is f(x) concave or convex at x = 0? choice: (A) convex (B) concave (C) inflection point\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": "multiple choice", "index": "d4b7b345-c24b-4f27-a3fa-a3907c04f6fd", "options": "[]" }
DynaMath
[ { "content": "<image>how many even functions are in the graph?\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": "float", "index": "1e1c7d67-1161-4d66-85d1-482b0737dccb", "options": "[]" }
DynaMath
[ { "content": "<image>The table below represents the quarterly sales of different products. Which quarter had the highest total sales for all products combined? Choices: (A) Q1 (B) Q2 (C) Q3 (D) Q4\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": "multiple choice", "index": "22ad0db0-52fb-4abe-a685-b556c7096fbd", "options": "[]" }
DynaMath
[ { "content": "<image>The cell in the following circuit has an emf of 4.4 V. The digital voltmeter reads 3.3 V. What is the voltage at L2? \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": "1.1", "style": "rule" }
{ "category": "text", "index": "888f9a4d-14b7-4d04-8d21-c5c29d7d77a0", "options": "[]" }
DynaMath
[ { "content": "<image>What is the highest stock price recorded in the year?\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": "430", "style": "rule" }
{ "category": "float", "index": "305bae44-db9b-410a-99ea-791a0be45d34", "options": "[]" }