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>In the given figure, let's denote the length of OE as variable x (x = 3) and the length of AB as variable y (y = 5). If AE = EB and OA = OC, what is the perimeter of ABCD in terms of x and y?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "22",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "7db4be42-6a56-4488-b45b-c371c78e27ae"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the ABCD shape is a combination of a rectangle and a semi-circle, the area of the ABCD shape is 120, the area of the BCF right triangle is 40 and the area of the brown semi-circle is 76.93, compute the length of the AB side 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": "18.78",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "86f7a3e5-4f87-4173-a4ed-a92a632ef91f"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In triangle ABC, given that angle ACB is 90 degrees, AB is 1 unit long, and BC is extended to point D such that BD is 3 times the length of CD. If E is the midpoint of AC, what is the length of DE?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "0.5",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "9bfd3145-4453-44c2-b216-7de42a9b3705"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In a diagram, it is depicted that a fishing boat is observed at point B traveling in the direction of 15.0 units west by south. Another observation at point C indicates that point B lies 60.0 units north by east of C. Determine the distance between points B and C\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "20√{2}海里",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "e424deb5-44da-4b28-8885-5af2492f248a"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there are two concentric circles centered at S. The line SH is the radius of the larger circle, and the line SK is the radius of the smaller circle. What is the area of the larger circle? Approximating π≈3.14.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "5.29π",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "3447a221-5fad-4ef7-b86c-e907d5177eba"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>The translation for the Chinese sentence is:\n\nIn the figure, in quadrilateral ABCD, the bisector of angle ABC intersects AD at E, AB = 8, BC = 12. Then DE is equal to ()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "94ec4ec9-7f0b-476b-975d-9c52ddd851a7"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Line ES is the line connecting point E and the midpoint S of line CZ. What is the length of line SC if the length of line CZ is 10?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "fd8c9219-f92f-49cc-80aa-580a93c0aabb"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>According to the diagram, points A, B, and C are three points on the circle O. If angle AOB is 76°, then the degree of angle C is ()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "38°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "1f4f49a7-8f43-48f0-98f4-27513df77a98"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Find the measure of angle 7\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": "5a002e4e-d7fa-42f6-8c53-66bf4219cb61"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, the line FZ is parallel to the line PN. The measure of the angle ZEH is 117 degrees. What is the measure of angle FEO?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "117 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "f6a450d6-6d9c-4919-be10-7aa8e13975b5"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Place an isosceles right triangle board and a ruler as shown in the figure, if angle 1 = 60.0, then the degree of angle 2 is ()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "75°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "4aa9f43f-a24e-4583-9b9d-62a54694c9c9"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Given a circumcircle O of the regular hexagon ABCDEF, and a point P on arc AB, find the measurement of angle CPD. Represent the angle as 'y'\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "30°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "e0ac7872-47b3-4b35-a690-acdde69e1eec"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given rectangle ABCD, where AC and BD intersect at point O, let's denote the area of triangle AOB as variable h (h = 3). What is the value of the area of rectangle ABCD, expressed as variable w in terms of h?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "c67c6a76-51db-4cc7-a615-cdbf566470ca"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given parallelogram ABCD, let the length of AD be represented by the variable 'x'. If DE bisects angle ADC and intersects BC at point E, and it is given that BE = 4cm and AB = 6cm, what is the value of x?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "10cm",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "fd536145-8916-4726-88a2-99326c324714"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is a regular pentagon in the diagram, represented by the symbol CWZOK. Which lines are equal in length to line CW?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "WZ, ZO, OK, KC",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "71dd5be5-1ffa-46a3-bb41-e2623cdce275"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Within a square ABCD, as shown in the provided figure, with a side length of 12.0 units, a smaller square EFGH is constructed. Points E, F, and G are located on sides AB, BC, and FD respectively. If the length of side BF measures 3.0 units, what would be the length of the side of the small square shown?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "3.75",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "61de20c6-7c95-4c67-8496-75263ee0ddcd"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the provided diagram of inscribed quadrilateral ABCD in circle O, let's represent the measure of angle BAD as variable u, where u = 110.0 degrees. What is the degree measure of angle BCD, expressed as variable v in relation to u?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "70°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "92c883b4-1834-4303-98f1-514cad9ba506"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Triangle ABC is a right triangle represented in the figure. As per the diagram, an arc is drawn with point B as the center and BA as the radius, intersecting CB at point T. The angle CAT is known to measure 24 degrees. Calculate the degree measure of angle C\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "42°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "a6469028-581f-48b6-a9fb-eddc4c8864dc"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, the measure of the angle between the line VS and the circle W at the point Z is given as 67 degrees. What is the measure of the central angle subtended by the arc DZ?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "134 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "03710f1a-e285-462d-b93a-fd4763bb85a2"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is an isosceles triangle in the diagram, represented by the symbol VLF. Line TS is the line connecting the midpoint T of line VL and the midpoint S of line LF. What is the length of line SL?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "0.5",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "a095653a-e8f7-4e7a-9428-ba527db2b5bf"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle B with a chord MT. What is the length of the chord MT?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "2.33",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "fd8cde7d-8bbe-402d-b02b-01bb7ea4c045"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>The angle of the sector is 120 degree. What is the area of the blue part?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "58.6431",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "8b8f2f8d-151c-465d-aa0d-49950c198385"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Line CQ is the line connecting point C and the midpoint Q of line HB. What is the length of line QH?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "HB*1/2",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "75833eba-415a-4dc2-aa69-ec78c5c94fa9"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If AB equals 13, AD equals 5, and AC is perpendicular to BC in the diagram depicting quadrilateral ABCD, what is the area of the quadrilateral?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "60",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "92f4155e-e1af-4503-94d7-d1da9ba8494c"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the ABCDE shape is a combination of a rectangle and an equilateral triangle, the perimeter of the ABCDE shape is 96, the BCFG shape is a rectangle where a semi-circle has been removed from one side of it, the length of the CF side is 8 and the area of the BCFG shape is 120, compute the length of the AB side of the ABCDE 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": "20.79",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "731972f9-3574-47d5-971b-c472c3caf468"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If a cone has a bottom surface radius of 3.0 and a height of 4.0, what will be the value of its lateral area?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "15π",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "f9e731d1-dd25-444f-9cec-a457b09e71b0"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In triangle XYZ, where angle Y = 36°, XY = XZ, YM is the median of triangle XYZ. Determine the measure of angle MYX\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "54°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "3df22f16-aefd-4e01-829b-8532e2333cac"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Looking at the provided figure, in triangle ABC, the edge AC intersects circle O at two points C and D, and also passes through the center O. Additionally, the edge AB is tangent to circle O at point B. If angle A equals 40.0 degrees, what is the measure of angle C?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "25°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "af143b69-90da-4e9f-9367-59e800114903"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is a right triangle in the diagram, represented by the symbol ORE. The measure of angle EOR is equal to 90 degrees. What is the sum of the measures of angle ORE and angle OER?\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": "df161e39-ba89-4439-9c50-6acac7ad2e23"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Line AF is perpendicular to line KW. Point F lies on line KW. What is the measure of angle AFK?\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": "0a20f116-c177-4f43-abb1-0bc7dec0169b"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle L. The length of line NJ is 1.64, and the length of line JZ is 5.72. What is the length of the radius LJ?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "7.36",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "185d748f-5903-4a61-bd24-d713dafa5bc8"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Considering the figure provided, where a right angle is depicted, and one edge of a ruler passes through a vertex of the right angle while the other edge intersects one of the edges of the right angle, what is the measure of angle 2 if angle 1 measures 30.0 degrees?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "60°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "c10cb460-8de3-42ea-997b-534aaee2cebb"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In rectangle ABCD, given that the diagonals AC and BD intersect at point O. Perpendicular line AE is drawn from point A to BD at point E, and BE:ED = 0.333333. Perpendicular line OF is drawn from point O to AD at point F. If OF = 12cm, then the length of BD is ( )\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "48.0",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "643179ee-3d19-4c10-9084-10a5cdeb67f9"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, the pentagon NMOBQ has five angles, each measuring 108 degrees. Is it a regular pentagon?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "yes, it is a regular pentagon",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "7f6e1d8c-3fa5-4a45-89cb-d60e701a33ce"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, could we use Thales' theorem to deduce that the angle HMB is a right angle given that HM is perpendicular to the diameter HB?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "c7d5a8a8-c11d-4a8b-aa35-d65a62d64307"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Given that AB is the diameter of circle O and points C and D are on circle O, and angle BAC equals 33°, 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": "57°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "7f9e4d15-83fb-4192-a6ad-610fd4f3a1af"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given triangle ABC, where point D and point E are the midpoints of AB and AC respectively, and point F is a point on DE with angle AFC equal to 90°, if the length of BC is represented by variable m and the length of AC is represented by variable n, what is the length of DF in terms of m and n?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "89b8efd2-36a5-4270-abb9-40540b671462"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Given the triangle ABC congruent to triangle ADE in the given figure, let's represent the length of side AB as variable h (h = 5.0), the length of side BC as variable k (k = 7.0), and the length of side AC as variable n (n = 6.0). What is the length of side DE, expressed as variable q in terms of k?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "7cm",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "610aa1ca-ed55-4106-ac7f-d250be3142f9"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given figure, let's denote the measure of angle A as variable x (x = 26.0 degrees). If AB is the diameter of circle O and CD is a tangent line to circle O that intersects the extended line of AB at point D, what is the degree measure of angle D? Express the angle as variable y in terms of x\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "38°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "b1663336-595b-4a10-8fb7-073a0adfd4cf"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>如图,已知△ABC,AB=6,AC=5,D是边AB的中点,E是边AC上一点,∠ADE=∠C,∠BAC的平分线分别交DE、BC于点F、G,那么\\frac{AF}{AG}的值是多少？\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "\\frac{3}{5}",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "3f854cfd-c230-440a-b6fe-06585a2e614d"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, the line XP is parallel to the line OJ, and ML intersects XP at U and OJ at H. What are the measures of angles XUH and JHL?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "45 degrees f, both angles",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "96d11af6-6b05-4366-a791-11a67049f7d9"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Place the triangle board with a 30° angle as shown in the figure. Given that a is parallel to b and angle 1 = 65°, find 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": "c7c27f82-0b20-488c-bd50-55f2fe9dbb75"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>For the intersecting lines a, b, and c, and l1 and l2, if the ratio of the lengths of segments AB to BC is x/y (x = 3.0, y = 15.0), and the length of segment DF is N_3, what is the length of segment DE?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "0e8a26b4-72b5-460c-bff5-9e849872b1c0"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle U. The measure of the central angle IKW is 62 degrees. What is the measure of angle UKW and angle IKU?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "31 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "92f972f6-6e87-4516-b31d-a81d3b05e00c"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is a triangle YAZ. Point Y lies on line UX. Point A lies on line NU. Point Z lies on line XN. What is the sum of the degrees of angle YAZ, angle AYZ, and angle ZYA?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "180",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "fef7f9c3-5ab6-4419-8a80-f38fdb727194"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the length of AD is measured as 4 units and the length of EF, which forms a perpendicular with AD at point F, is measured as 5 units, calculate the area of trapezoid ABCD as seen in the diagram where AB is parallel to CD and point E serves as the midpoint of BC\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "20",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "5cf5c117-fbbb-49c6-8cdf-24168464a890"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>As shown in the figure, in rhombus ABCD, AC intersects BD at point O. The perpendicular bisector of BC, EF, intersects BC and AC at points E and F, respectively. Connect DF. If angle BCD = 70°, then the degree measure of angle ADF is ()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "75°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "e7f27248-6529-4614-84a7-c60818da0348"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given diagram, let AB be the diameter of circle O and AC be the tangent line to circle O. If OC intersects circle O at point D and angle C is 40.0 degrees, what is the measure of angle ABD?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "25°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "2d840383-ea98-42d0-a615-f4a4c3b3bed2"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>What is the measure of angle α if the two triangles in the figure are congruent?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "70°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "6db3d618-3dfc-4605-aa2e-35451912f6f6"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>The white area in the figure is composed of 4 identical sectors, which can be combined to form a complete circle. What is the area of the azure part\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "7.7257",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "b6e124c3-9c7e-4022-b6c1-bc28bca211f8"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In rectangle ABCD, if AB:AD = z, point E is the midpoint of AB, point F varies on EC, point P is the midpoint of DF, and the minimum value of PB is 5√{2}, determine the length of AD using 'z'\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "b78a05fa-9d3e-464f-9389-d6c421bf8c7a"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>如图所示,某人家一块等边三角形的空地ABC,已知点E,F分别是边AB,AC的中点,量得EF=5米,他想把四边形BCFE用篱笆围成一圈放养小鸡,则需要篱笆的长是()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "25米",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "2b17f60c-f18d-4789-a0cd-d61f85f95149"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>如图,过⊙O外一点P引⊙O的两条切线PA、PB,切点分别是A、B,OP交⊙O于点C,点D是⁀{ABC}上不与点A、点C重合的一个动点,连接AD、CD,若∠APB=80°,则∠ADC的度数是()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "25°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "f40d98ae-de0e-40b3-9688-f919db3917d1"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given diagram, points A and D are on the circle O, with BC as the diameter. If ∠D = 32°, what is the measure of ∠OAC?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "58°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "3c2e23e3-9521-432c-98cb-198d8fac9e8d"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If in the given figure line segments a and b are parallel and angle 1 measures 73 degrees, what is the measurement of angle 2 in degrees?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "107°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "7e238220-426a-46dc-891e-90fd137e8b37"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the pink shape is a combination of a rectangle and a semi-circle, the perimeter of the pink shape is 72 and the area of the purple sector is 56.52, compute the perimeter of the brown triangle. 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": "51.68",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "e142866d-0f48-46db-9c2a-aa572575a7ca"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Line TU is the line connecting the midpoint T of line KD and the midpoint U of line DW. What is the length of line TK if the length of line KD is 20?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "4d8aaff9-6504-4a81-8afa-7651ef8978e0"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the provided figure of parallelogram ABCD, where AD measures 7.0 and AB measures 3.0, and angle BAD is bisected by line segment AE which intersects the edge BC at point E, what is the value of EC?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "4cm",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "e777fa14-8121-4d8b-81a8-1d819ef9a5c7"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>As shown in the figure, the straight line CD is tangent to the circle with the line segment AB as the diameter at point D and intersects the extended line of BA at point C, and AB = 2.0, AD = 1.0, when point P moves on the extended line of the tangent line CD , Then the minimum radius of the circumscribed circle of triangle PBD is ()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "\\frac{√{3}}{2}",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "dd4bfda2-0704-42fa-8785-99604ffc7fee"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, the measure of the angle SGK is given as 23 degrees. What is the measure of the angle SGK?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "23 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "68cce86a-00de-45ce-b715-ad17acd1a7fa"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is a rhombus in the diagram, represented by the symbol WNPF. The length of line FW is 2. What is the length of line NP?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "bd31e7df-b9e8-4237-96fb-f7a899df8a41"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If in circle O, as shown in the figure, chord AC is parallel to radius OB, and angle BOC measures 48.0 degrees, what is the measure of angle OAB?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "24°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "e180dded-4782-4ae8-9e03-cb06cfac1309"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the configuration depicted, a paper strip with parallel edges is folded twice, generating creases XY and ZW. Given that ZW is parallel to UV and angle α = 30°, what is the measure of angle β?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "60°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "ec8d5a14-2f26-4bf9-82b8-316c39caf26a"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the length of segment AC is 7 cm, what is the length of segment DE?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "5 cm",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "d3842ec3-3a37-4e11-9ce2-d9b421a4c40c"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle O with a radius of 1.6. What is the circumference of the circle O? Approximating π≈3.14.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "10.048",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "fb08eb6f-ecea-41e4-b52d-06280deb43e8"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle G. There is a quadrilateral ['F', 'A', 'E', 'Z'] in the diagram. Which lines are equal in length to line GF?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "GA, GE, GZ",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "1ece47af-0297-467b-8e00-486c79ce5bd3"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Given the figure provided, let the perpendicular bisector of BC intersect AB and BC at points D and E respectively, with CD being equal to BD. If angle B measures 'b' degrees (b = 25.0), what is the measure of angle ACD?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "80°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "f18cc3d7-d9f1-4e1a-9e5f-506a055b5f17"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>As shown in the figure, points A, B, and C are on circle O, angle OAB = 65.0, then the degree of angle ACB 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": "ed5cef69-e6cb-49e5-ae17-d23c1cbd70e8"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is a triangle DLA. The measure of angle LDA is equal to 60 degrees. What is the sum of the measures of angles DLA and DAL?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "120 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "830e4aa4-d200-400c-9899-9a99087963db"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Given that AB is the diameter of circle O and BC is a chord, and angle OBC is measured as 60.0 degrees, what is the degree of angle BAC?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "30°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "250a7d21-7a9e-47c2-ac28-f688c3d5a5d2"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Given the figure, let AB be a known line segment, where a perpendicular BD is drawn from point B. Point C is positioned on BD such that BC = c AB, where c = \\(\\frac{1.0}{2.0}\\). AC is then formed, followed by an arc with C as the center and CB as the radius. This arc intersects AC at point D. Subsequently, an arc with A as the center and AD as the radius is drawn, intersecting AB at point P. Calculate the value of \\(\\frac{AP}{AB}\\) in terms of 'c'\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "\\frac{√{5}-1}{2}",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "2b9eba0b-b790-4671-95e1-5d31d982b356"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given figure, triangle ABC is depicted with angle C measuring 90.0 degrees. Additionally, AC is equal to BC, AD bisects angle BAC, and DE is perpendicular to AB at point E. If AB measures 10.0, what would be the perimeter of triangle DBE?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "10cm",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "a2ba475a-391a-4f3c-ae02-f94ffb057001"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Remove all balls. How many items remain?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "774eadcd-5ee3-4250-9313-59a01fda331d"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, the line HZ intersects the line ND at point K, with HK = 2.48 and NK = 1.65. What is the length of the segment KN?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "1.65",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "73d243dd-db1f-444c-b63b-6ab33ca544f1"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Line MZ is the line connecting point M and the midpoint Z of line YU. What is the length of line ZY if the length of line YU 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": "631ed0b2-bb89-401f-8434-d95de3c26d6f"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the figure, the three vertices A, B, and C are on circle O, given that angle C is 30 degrees and the radius of circle O is 15 units, what is the length of AB?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "15.0",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "1363a4a8-1855-4fb8-8a02-5136608204f3"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>What is the degree measure of angle BAC in the figure, where the tangent line and chord BC intersect at point P, and angle CAP and ACP are measured at 40.0 degrees and 100.0 degrees respectively?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "60°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "e5ba1db3-9852-408a-919f-86cd13382564"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the gray shape is a combination of a rectangle and an equilateral triangle, the length of the height of the equilateral triangle part of the gray shape is 7, the perimeter of the cyan rectangle is 70, the pink shape is a rectangle where an equilateral triangle has been removed from one side of it and the area of the pink shape is 66, compute the perimeter of the gray 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": "67.2",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "f207820c-3d9e-4dca-9b9a-cf5b5c74604a"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given figure, let's denote the diameter AB of circle O as variable 'd' (d = 10.0) and the length of OE as variable 'e' (e = 3.0). If AB is perpendicular to CD at point E, what is the length of the chord CD, expressed as variable 'c' in terms of 'd' and 'e'?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "34924a1b-6061-4f16-a22b-9748cb6998dd"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>What is the measure of angle XYZ?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "187 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "e0124cb0-faf1-40e1-a5ed-39e98e9c8c70"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>As shown in the figure, in triangle ABC, AD bisects angle BAC, and draw the diagram according to the following steps: Step one, make arcs on both sides of AD with points A and D as the center, and the radius greater than frac {1.0}{2.0} AD as the radius. Point M and N; Step two, connect MN to AB and AC to points E and F respectively; Step three, connect DE and DF. If BD=6.0,AF=4.0,CD=3.0, then the length of BE is ()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "c177d187-08ad-4038-bca1-2235f6cb7748"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the parallelogram ABCD shown in the diagram, the bisector of angle ABC intersects AD at point E. AF is drawn perpendicular to BE passing through point A, with F as the foot of the perpendicular. If AF = 10 and BE = 48, what is the length of CD?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "26.0",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "563afee0-f4d9-4ad6-af1d-0be8e9a01256"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Given that AB is the diameter of circle O and angle A measures 35.0 degrees, what is the degree of angle B?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "55°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "4a18b9d4-9e7d-48c0-9edd-e3e6208b3baf"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Displayed in the diagram, l1 and l2 are shown to be parallel, likewise l3 and l4. With angle 1 measuring 68 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": "112°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "cb072a62-a3e1-4845-9a65-b544bf29754b"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, quadrilateral ABCD is inscribed in circle O, and an exterior angle, angle CBE, equals 56°. 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": "112°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "196fd85a-7500-4cbc-8c2f-836114dc977a"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>As shown in the figure, in parallelogram ABCD with a perimeter of 18.0, ABnot-equal AD, AC and BD intersect at point O, and OE perpendicular BD at E, then the perimeter of triangle ABE is ()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "9cm",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "e01b6932-7cb6-45af-9458-4334e8222542"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the ABCD shape is a rectangle where a semi-circle has been removed from one side of it, 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": "127.77",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "4b1854a6-4dd4-4485-b4e4-953e8173aeb0"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle O with diameter ZC = 6.6. What is the circumference of the circle O? Approximating π≈3.14.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "20.724",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "21e2e773-830d-40cb-961b-d1f91bd79f8c"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Point O is the intersection of lines AB and CD, as depicted in the diagram. Angle AOD is divided in half by the bisector OE. If angle 1 measures 40 degrees, what is the size of angle AOE?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "70°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "e1e9c131-dfe5-404d-9881-26b850e1a783"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given diagram, AB is a chord of circle O with AB = 5. Point C is a moving point on circle O, and ∠ACB = 45°. If points M and N are the midpoints of AB and AC respectively, what is the maximum length of MN?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "\\frac{5√{2}}{2}",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "16703ce1-4813-4cb7-a1f2-6bb9355fe5c8"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given circle O, where AB serves as the diameter, and point C lies on the circle, if angle BAC measures 'x' degrees, what is the measure of angle OCB in terms of 'x'?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "20°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "2bea65ca-9422-4bb3-840d-15a41de148d6"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If AB is the diameter of circle O, with point C on the circle and angle BAC measuring 70.0 degrees, what is the measure of angle OCB in this configuration?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "20°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "9c3de283-13d7-486d-a1e0-23883ef7e612"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>What is the central angle θ of the developed view of the cone's lateral surface if the length of its generatrix is 6 and the radius of the base circle is 2?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "120°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "8a49db83-b118-4382-b366-8da4364cca14"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>What is the sum of the area of the shaded part in the figure if the center of the circle is the apex of the hexagon and the circle has a radius of 1.0?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "2π",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "af5c7d14-191b-49a4-99d2-2522c227ba78"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Given the configuration of the protractor in the diagram, if angle 1 is measured at 80°, what is the size of angle 2?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "95°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "7aa9a19e-674e-4c9b-91aa-585da9ee73b7"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given diagram, triangle ABC is depicted with AD serving as the median of side BC. Additionally, in triangle ACD, CE is the median of side AD. If the area of triangle ABC equals 20, what is the area of triangle ACE?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "89e2e427-bab9-4887-8a28-7ab1a34658da"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Given the diagram, circle O is depicted with tangents PA and PB. The point of tangency for PA is labeled as A, while the point of tangency for PB is labeled as B. Point C can also be found on circle O. It is stated that angle APO measures 25°. Calculate the degree measure of angle ACB\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "65°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "37038ff6-46cc-4324-9da8-ff9eab7dd704"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the figure, in triangle ABC, angle A is 40 degrees, AB is equal to AC. Point D is on side AC, and triangle BCDE is constructed with CB and CD as sides. The degree measure of angle E is ()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "70°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "23052c3d-79a5-456f-a26f-1282292dd89a"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Line ZG is perpendicular to line JG. What is the degree of angle ZGJ?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "90 degree",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "f0a6c8a5-57fd-4c27-ad03-94c17eb3d7a2"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>How many objects are larger than the small blue cube?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "28a07483-c468-4bf3-97ed-50c609482fed"
}
|
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