data_source
stringclasses 1
value | images
images listlengths 1
1
| prompt
listlengths 1
1
| ability
stringclasses 1
value | reward_model
dict | extra_info
dict |
|---|---|---|---|---|---|
multimodal_opensource_math
|
[
{
"content": "<image>Given a slope with a ratio of 1.0:2.0, and a horizontal distance 'a' between two adjacent trees of 6.0 units, what is the slope distance 'b' between the two trees on the slope? Represent the slope distance as 'b'\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "3√{5}米",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "9c31998b-15ca-4839-a05d-c0c0911eabcb"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle M with radius 0.2. Which lines are equal in length to line MG?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "MJ, MR",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "8e47af0e-7f1d-4875-a6f3-acd066b1e017"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given figure, quadrilateral ABCD is circumscribed around circle O. If the external angle EBC is measured at 80°, what is the measurement of angle D?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "80°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "18953f02-04d4-4617-842a-bd9ef6e578e6"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is a rhombus in the diagram, represented by the symbol ECGK. If the length of line KE is 8, what is the length of line GK?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "09cf263f-3dd5-4802-8d3e-e59692ca3eec"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the area of the ABC sector is 56.52, the area of the BDEF parallelogram is 102, the area of the GBF sector is 127.17 and the angle CBA is vertical to DBF, compute the length of the BC side of the ABC sector. Assume $\\pi=3.14$. Round computations to 2 decimal places.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "18.79",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "cfc92fac-ad20-493d-b383-9cdd6592a590"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Line ME is perpendicular to line EL. What is the measure of angle MEL?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "90 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "1934cc0b-653c-4f31-9c28-0fcfdd368208"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Line FA is the line connecting point F and the midpoint A of line WV. What is the length of line AW if the length of line WV is 8?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "c455a345-b17f-4834-8a92-ba421baf134f"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is a pentagon in the diagram, represented by the symbol GQVNE. The measure of angle GQV is equal to 90 degrees. What is the measure of angle GQV?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "90 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "edde5b23-6b2d-44c4-b351-389e52e854b4"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If AB is the diameter of circle O and CD is tangent to circle O at point C, with angle BCD measuring 25 degrees, what is the degree measure of angle B?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "65°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "80bc6b78-76e4-4c83-8cf2-81ab47e4d07f"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the post needs to be raised by 2cm, how far horizontally must the wedge be driven?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "7.46cm",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "fd67082a-aebd-4eb4-8481-06f0419dc2c8"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the provided diagram, consider points M and N on line segments AB and AC respectively, where MN is parallel to BC. If the ratio of AN to AC is 0.8 and the length of AB is 10 units, what is the measure of line segment AM, represented by variable 'x' in relation to the given values?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "1a8d67c3-0ca6-408a-9fea-c8478fe17ea0"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is a triangle EBA. Point E lies on line NY. Point B lies on line YG. Point A lies on line LN. If the measure of angle AEB is 60 degrees and the measure of angle ABE is 50 degrees, what is the measure of angle EAB?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "70 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "659155de-50c7-462c-8a71-2abfbeeaa86c"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram displaying circle O, where OA represents its radius and chord BC is perpendicular to OA, point D is located on circle O. Given that angle ADC measures 26.0 degrees, what is the degree value of angle AOB?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "52°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "ae919d80-006f-4d81-bf03-80e29989996b"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Given the diagram, lines a and b are parallel, and line c intersects them. If the measure of angle 1 is 42 degrees, what is the degree measure of angle 2?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "138°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "ffedd71e-dfb5-4ef7-ab52-653b50dcea73"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If a right triangle ABC has angle ACB at 90 degrees and angle A at 52 degrees, and an arc is drawn with point B as the center and BC as the radius, intersecting AB at point D, what would be the degree measure of angle ADC after connecting CD?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "109°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "0ae96073-fcb4-4fcb-94aa-f78a6db948f6"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>What is the length of the circumference of the base of the cone?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "6π units",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "62a7f8e2-2250-4daf-b35f-445153c3cec5"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>After subtracting all the blue balls and all the red cylinders, how many balls are remaining?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "96f2823e-6b12-44ef-8fa8-6a14b101affc"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Let ABCD be an inscribed quadrilateral in circle O, as shown in the figure. If angle ADC equals 130 degrees, what is the measure of angle AOC?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "100°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "0781ae90-9d92-48c8-b621-554449727c43"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>How many objects are left after removing all spheres and cylinders?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "226bc3b4-610b-453c-b142-c1b0f0197b40"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Line IQ is perpendicular to line PF. What is the measure of angle IQP?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "90 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "3a8c07d0-770f-4821-bf15-0aa9d2d40bb9"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle S. There is a triangle JML in the diagram. Point J, Point M, and Point L lie on the circle S. Which lines are equal in length to line LS?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "LJ, LM",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "080d18bd-3dde-4297-9156-1e787a3c322e"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given figure, quadrilateral ABCD is shown, with points A and C connected by the line segment AC. If both angle ABC and angle CAD are determined to be 60 degrees, and if the length of AB is precisely 3 units, what is the numerical result of AD's length?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "b62ca609-502a-4ab2-82e4-accd3a128d81"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>如图,CD是⊙E的弦,直径AB过CD的中点M,若∠BEC=40°,求∠CAD的大小。\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "50°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "2c5fefcc-0705-40dc-8972-937a5369583a"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In triangle ABC, given that D and E are the midpoints of sides AB and AC respectively, and DE is 20 units long, what is the length of BC?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "40.0",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "88305185-0e2b-47ad-bc7b-c505be00dd86"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>At the height of 80 units from the ground, two pull wires are used to fix the electric pole. The two pull wires and the electric pole are in the same plane. The angle between the pull wire and the ground is 60 degrees, then what is the distance between the intersection of the two pull wires and the ground?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "\\frac{16√{3}",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "adaa52eb-6cd8-4d44-942b-38a275fc6b29"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the parallelogram ABCD with perimeter 20.0 units, where AB ≠ AD, and point O is the intersection of the diagonals AC and BD, and OE is perpendicular to BD, intersecting AD at E, what is the perimeter of triangle ABE? Represent the perimeter as 'P'\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "10cm",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "3988a6cf-bcad-4061-93f7-0b4c77bd7d64"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, the measure of angle NHS is 29 degrees, and the measure of angle UHB is 90 degrees. What is the measure of angle SHN?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "61 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "50c6c296-97ac-461d-9cd9-10b4126b7f9f"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Determine the value of y.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "fef0d9c9-c04b-40f7-9545-c52437de777a"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the figure given, angle AOB measures 'x' degrees, OC is a ray within angle AOB, OD bisects angle AOC, and OE bisects angle COB. Determine the measure of angle DOE in terms of 'x'\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "40°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "04fb15a7-5c11-4872-871f-bb954cf924bb"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Line EW is the line connecting the midpoint E of line TL and the midpoint W of line LU. What is the length of line WL if the length of line LU is 5?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "2.5",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "20e0bcb8-60b8-4677-b58f-b96e0e095e87"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Given that the length of chord AB is 8.0 and the distance from center O to AB measures 3.0 in circle O, what is the value of the radius?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "5cm",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "0a6e3c3a-9b0c-4d9b-aaf1-d88c510bc0fe"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In a triangle PQR, with angle PQR = 90.0, QR = 12.0, PQ = 10.0, W is a moving point on QR, and circle O with PW as the diameter intersects RW to Z, what is the smallest possible length of line segment ZQ?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "2c53bf71-20f2-48c5-b969-488b24633605"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Consider triangle ABC shown in the figure. With angle ABC measuring 70.0 degrees and angle ACB measuring 60.0 degrees, we have that line segment BE is perpendicular to line segment AC at point E, and line segment CF is perpendicular to line segment AB at point F. The point of intersection between line segments BE and CF is denoted as H. What is the degree measure of angle EHF in this scenario?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "130°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "cff187b0-2a29-4b62-8611-330ccb81f7bf"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>What is the shortest distance from node S to node G in this directed graph?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "45",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "765342c9-c504-4358-9a7f-25c60049bed4"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the provided figure, the Yihe Dam is portrayed by the cross section of an isosceles trapezoid ABCD, with a dam crest width of 10.0 and a dam height of 12.0. With a slope AB having a ratio of 1.0:1.5, what is the length of the dam bottom AD?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "46米",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "4b6fda25-a9a9-4c66-bf01-b452a46f3adc"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle Q. The line QH is perpendicular to the chord CS at point H, and the line QK is perpendicular to the chord CB at point K. What is the measure of angle CQH and angle CQK?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "90 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "c5c4bb30-b398-4fb8-bc82-b1b3adfed742"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>As shown in the figure, AB is the diameter of circle O, straight line PA and circle O are tangent to point A, PO intersects circle O at point C, and connect BC. If angle ABC = 25.0, then the degree of angle P is ()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "40°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "15ae0a93-d0b6-46e8-a1fb-9327395d5fd2"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Consider the given diagram with line AB parallel to line CD. Line EF intersects line AB at point O and line CD at point G. If angle EOP is 35° and line OP bisects angle EOB, what is the value of angle DGF?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "110°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "2180b06b-10a6-4d78-8564-9da9bfac2acc"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Point D lies on side AB of triangle ABC, as shown in the diagram, where BE is parallel to AC and ED is a line connecting them. If angle A is 56° and angle E is 48°, what is the size of angle ADE?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "104°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "4640935b-df63-47af-bc21-4c1c4e0f5dcc"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle I with a radius of 1.1. What is the area of the circle I?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "1.21\\pi",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "2208d3d9-d6f2-4e38-90cd-5f18c05de137"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle O. There are lines YH, TQ in the diagram. Point Y, Point H, Point T, and Point Q lie on the circle O. Which lines are equal in length to line OY?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "OH, OT, OQ",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "45f059e4-701e-460b-9bb2-6534c580a764"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle C. There are lines CS, CR, CW, CD, CB in the diagram. Which lines are equal in length to line CS?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "CR, CW, CD, CB",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "9a0b0eec-0101-43fc-aec7-b7181149c2fd"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If AB is parallel to CD and angle A measures 100 degrees while angle BCD measures 50 degrees, what is the value of angle ACB?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "30°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "0fb9ccca-6d48-44eb-b7c2-8da7471c6555"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Matrices A, B, and C are given in the image. What is the sum of all elements in the matrix (A + B + C)?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "41",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "cae8c056-1c50-404e-ac24-ffcb4f5011bb"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle Q with a radius of 0.5. What is the circumference of the circle Q? Approximating π≈3.14.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "π",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "bc4e7136-879e-4c51-a289-5458cff5bfe0"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given figure, line AB is parallel to CD, and right-angled triangle EFG has a vertex angle E measuring 60.0 degrees, with the vertex of the right angle F siting on the line AB. The hypotenuse EG intersects AB at point H, and CD intersects FG at point M. If angle AHG measures 50.0 degrees, calculate the measure of angle FMD\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "20°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "77e51346-bc0b-48da-adc5-e959a26c58ce"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is a square in the diagram, represented by the symbol LGCB. The length of line BL is 10. What is the length of line CP, where P is the midpoint of line LG?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "57763275-fc02-4bee-865c-f9a80bfffa5d"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Given a right triangle ABC where angle ACB is 90 degrees, and CA measures 4.0, with point P being the midpoint of the semicircular arc AC, dividing the graphic APCB into two parts by connecting BP, what is the absolute value of the difference between the two parts?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "6b87052b-4d32-40e9-889e-06309cf83067"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Subtract all yellow spheres. How many gray blocks are left?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "70ff3509-8fe1-45e9-9299-866902723e5f"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the provided figure, if triangle ABC is similar to triangle ADE, where AB has a length of 9.0 units, AD has a length of 3.0 units, and DE has a length of 2.0 units, what is the length of BC, represented as variable k in terms of the given lengths?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "ba28ea98-b4f7-4827-9f60-bb399c11afda"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is also a rectangle in the diagram, represented by the symbol RVDO. What is the length of OD?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "13",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "8411d29a-5a20-42b1-b1a3-dbcceec46678"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the provided diagram, equilateral triangle DEF is formed by translating equilateral triangle ABC in the direction of ray BC. If the length of AB is 3 and EC is 1, what is the length of BF?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "b96c7c3e-a1aa-440c-aaf0-38d97629de6f"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Given that AO is measured at 5 and CD at 6 in the diagram of rectangle ABCD, what is the length of AD?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "7ca5c6d9-e607-4880-be93-6bfb715f8536"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the brown shape is a combination of a rectangle and a semi-circle, the perimeter of the brown shape is 88, the area of the red semi-circle is 127.17, the purple shape is a combination of a rectangle and a semi-circle and the perimeter of the purple shape is 98, compute the length of the side of the brown shape marked with question mark. Assume $\\pi=3.14$. Round computations to 2 decimal places.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "23.8",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "bd8820d8-dc39-4d32-9e94-6deb86c4d147"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>The line VW is the tangent line of the circle X at point Q. What is the measure of angle XQW?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "90 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "6d150083-77c6-49e7-a245-58266f551901"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle B. The line AG passes through the center of the circle B at point B. Which lines are equal in length to line AB?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "AG, BG, BL",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "07e3f039-580f-4a9d-8f2f-8659e70be6b3"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If AD:DB=1:3 and DE=2, what is the length of segment BE?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "1.5",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "5cedf7f7-24f7-458e-beb1-5a2e53b3b4af"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle Y. There are lines YI, PN, KG in the diagram. Point I, Point P, Point N, Point K, and Point G lie on the circle Y. Which lines are equal in length to line YI?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "YP, YN, YK, YG",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "8622b0b1-9ca2-443e-bef1-9fa9295386c8"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given figure, triangle ABC rotates counterclockwise around point A to form triangle AED. If angle BAC is represented by the variable 'x' (x = 30.0), what is the measure of the rotation angle? Express the angle as 'y' in terms of 'x'\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "60°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "555b7dbf-f24d-4e40-9600-a2e7b30a1e19"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, the measure of the central angle ZYF of circle Y is given as 93 degrees. If the radius of the circle is 2.3 units, what is the length of the arc between points Z and F on the circle?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "the result of this calculation",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "1da03457-1b1a-4365-8102-ab11c967bff2"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given figure, if a rectangular paper with vertices ABCD is folded along line AE, forming the depicted shape, and angle CED' is determined to be 70.0 degrees, what is the degree of angle AED?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "55°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "59873db4-03c8-48e8-8229-445b52f1eb0c"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is a hexagon in the diagram, represented by the symbol WKPSOI. The measure of angle IWK is equal to 90 degrees. The measure of angle WKP is equal to 90 degrees. The length of line WK is 9. What is the measure of angle KWP?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "cannot be determined",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "db8ee9be-ba52-40ef-995e-e18b2603df33"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Given that point D lies within triangle ABC, with angle BDC measuring 120.0 degrees and the sum of angle 1 and angle 2 being 55.0 degrees, what is the measure of angle A?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "65°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "7af74480-5c42-47d5-8ab0-814f953fca28"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Line PM is perpendicular to line CZ. What is the measure of angle PMC?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "90°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "45c66c0d-4faf-49c7-8de5-61bb0b9d8010"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If AB serves as the diameter of a semicircle and C, D are positioned on the semicircle, and angle CAB is measured at 24 degrees, what is the measure of angle ADC?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "114°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "a2c7a9e9-841e-409f-8f3e-221f11331340"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If point C divides line segment AB in the ratio 3:2 and the length of segment AC is 18 cm, what is the length of segment CB?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "12 cm",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "9db41188-a001-43a6-84ea-8a71939e5372"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the lime shape is a rectangle where an equilateral triangle has been removed from one side of it, the pink shape is a combination of a rectangle and an equilateral triangle and the area of the pink shape is 108, compute the perimeter of the lime shape. Round computations to 2 decimal places.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "69.84",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "30a1ce26-fcdb-4432-85e7-b8f74a9716b3"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is a regular pentagon in the diagram, represented by the symbol KXQPR. The length of line KX is 15. What is the length of line QP?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "15",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "0134be2c-dd08-48a5-9fac-07387a5171e7"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Let angle BOC in circle O be denoted as 'X'. Determine the measure of angle A based on 'X'\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "50°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "29c4b83b-7d83-4e0f-a8d0-62a54233fe85"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>The measure of angle XWR is equal to 90 degrees. The measure of angle WRC is equal to 90 degrees. How many right angles does the hexagon have?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "cbdf3667-9c29-423f-888e-91d4be9f80c2"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>How many objects are matte?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "bfd83d81-1d3f-4d31-91b6-b524945085bd"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle S with a radius of 1.8. What is the circumference of the circle S? Approximating π≈3.14.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "11.304",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "ae573141-6902-4fec-97db-473426df46b6"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If we have triangle ABC circumscribed by circle O, with MN tangent to circle O at point A, and angle BAN equals 50.0 degrees, what is the measure of angle ACB?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "50°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "a9db08ed-7184-46fc-8c38-d8997897ce5c"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>What is the measure of angle WGO?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "90 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "18ed0914-e0f8-48ae-92c6-73385e8854de"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If AB = 6 and EC = 2, what is the ratio of the area of triangle ADF to the area of parallelogram ABCD?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "1/6",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "dc7c9564-6b5d-42c7-8800-dc8742383e93"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the provided figure, a right triangle board is positioned on parallel lines. If angle 1 is measured at 55.0 degrees, what is the degree measure of angle 2?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "35°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "4dbf66d9-158c-4e24-aff0-374604e548c8"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>How many points are outside the triangle?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "62047138-dec1-49d2-abdb-24c15ad71a64"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In triangle ABC, where angle C is a right angle, AC = 12, EC = 5, and ED is the perpendicular bisector of AB. If the length of AC is represented by variable a and the length of EC is represented by variable b, what is the value of the length of BE, expressed as variable c in terms of a and b?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "13",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "7c2dbb82-a364-45ac-b2d2-6bb7624e2e2d"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In a scenario where triangle ABC is inscribed in circle O, and the vertices A, B, and C all lie on the circle, if the measure of angle OAB is denoted as 'theta' degrees, what is the measure of angle ACB in terms of 'theta'?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "40°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "e25ff5c8-c627-4f49-b621-bf3d7ff2e119"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given figure, let triangle ABC have sides AD = 1.0 and DB = 2.0, with DE parallel to BC. What is the value of the ratio DE/BC, expressed as variable x in terms of AD and DB?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "\\frac{1}{3}",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "64ceace8-f2d5-410e-a023-de11010f7125"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If angle C in the given figure measures 130.0 degrees and AB is parallel to DC, what is the measure of angle D if AE is perpendicular to DE and angle BAE is equal to angle BCD?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "140°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "830c219b-461e-4708-8ae5-fd46ea331e3d"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is a square in the diagram, represented by the symbol TQLX. The length of line XT is 8. Line UP is the line connecting the midpoint U of line QL and the midpoint P of line LX. What is the length of line UQ?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "8db45156-ac70-43c0-8f04-8cada7c8c505"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Compute the length of the side of the green right triangle marked with question mark. Round computations to 2 decimal places.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "8.66",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "6508853a-2a65-4555-9c45-1dd269250c04"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If Q R S T is a parallelogram, find y.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "905b101d-d263-433b-a4b8-11e8a42e870b"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, the line ER is the tangent line of the circle Y. What is the relationship between the tangent line ER and the radius YR?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "that ER is perpendicular to YR",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "802e7d88-cd94-45e5-ba20-5eebe197a274"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Known: As shown in the figure, circle O is the circumscribed circle of triangle ABC, D is a point on the extended line of CB, angle AOC = 130.0, then the degree of angle ABD is ()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "65°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "a64241d1-b673-464c-8a73-9955ceaeaf6d"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the provided diagram, let AB denote the diameter of the semicircle. If the measure of angle BAC is represented by the variable 'u' where u = 20.0 degrees, and D is any point on arc AC, what is the degree measure of angle D, expressed as variable 'v' in terms of 'u'?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "110°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "7ec5e7a0-d230-4aa4-86b7-f7f9abf0d34f"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In circle O with radius 1.0, if tangent AP and chord AB intersect at point C such that C is the midpoint of AB, and angle P measures 30.0 degrees, what is the length of CP?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "1.5",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "3eb738d6-7b29-424d-81bb-b510f9775349"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle J with intersecting lines TM and TU. Which lines are equal in length to line JW?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "JV",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "2c88314b-01cc-4f21-a832-0db12eeb2c16"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Suppose an equilateral triangle ABC has a side length of 's' units (s = 6.0). If the triangle is shifted by 'd' units to the right along the edge BC, resulting in triangle A′B′C′, what is the perimeter of quadrilateral ABC′A′ in terms of 's' and 'd'?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "28cm",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "27167e57-7955-4050-b413-7989e49ace5c"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>As shown in the diagram, quadrilateral ABCD is a rhombus, with diagonals AC and BD intersecting at point O. DH is perpendicular to AB at point H. Connecting OH, angle CAD is 25°. The degree of angle DHO is ()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "25°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "e0af2a7c-4f57-45c8-8e1e-1a60c951e5e0"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the ABCD shape is a combination of a rectangle and a semi-circle and the area of the FBA sector is 76.93, compute the area of the ABCD shape. Assume $\\pi=3.14$. Round computations to 2 decimal places.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "90.87",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "f60f9601-a67d-4a67-b2cc-a87c596c9b1e"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the provided diagram, lines c and d intersect lines a and b, with angle 1 plus angle 2 equalling 180 degrees and angle 3 measuring 60 degrees. What is the measurement of angle 4?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "60°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "2ebafe3f-c1c5-4f9f-9f9c-605e7bbdd909"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is a triangle WKX. The measure of angle KWX is equal to 38 degrees. What is the sum of the measures of angles WKX and XKW?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "142 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "db703bec-abb1-43f7-b2bc-95ca7916810f"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Given that D and E are midpoints of AB and AC respectively, and ∠B=50°, what is the measure of ∠DEF?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "50°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "14508caa-946e-41f9-b9d1-2002f41054d4"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Given that point C is the midpoint of arc AB in circle O and angle A has a measure of 50.0 degrees, what is the degree measure of angle BOC?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "40°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "2e4286e0-7998-4207-8041-598d0759dda5"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>The measure of the angle between the line TD and the circle Z at the point G is given as 54 degrees. What is the measure of the central angle subtended by the arc GD at the center of the circle?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "72 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "041894ae-5aaa-4519-8148-b03b4fc3c1ac"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>As shown in the figure, in triangle ABC, M is the midpoint of BC, AN bisects angle BAC, and BN is perpendicular to AN. If AB = 14 and AC = 19, the length of MN is ()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "2.5",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "a5983374-bba1-4d03-b61e-8165e7e04d27"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>As shown in the figure, AB parallel CD, AD and BC intersect at point O, frac {BO}{OC}=frac {2.0}{3.0},AD=10.0, then the length of OA is ()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "cadfdf82-aef2-489f-b0fe-4dff40a857f6"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the circle O, the quadrilateral ABCD is inscribed with E as a point on the extension of line DC. If angle A measures 50.0 degrees, what is the measure of angle BCE within the circle O?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "50°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "5c226076-1043-40aa-a195-f1b33dc97491"
}
|
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