Dataset Viewer
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 diagram, there is a hexagon HVNGFT with angles HVN = VNG = NGF = GFT = FTH = THV = 120 degrees. What is the length of VN?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "0.35",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "a8c8524c-5a07-436f-8933-2eb95811d6a2"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is a triangle TPF. The measure of angle PTF is 40 degrees. What is the sum of the measures of angles FTP and TPF?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "140 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "423c03ca-39b0-42cb-9d04-e56f2c7d53f5"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given diagram, points A, B, and C lie on circle O. If the measure of angle A is 44.0 degrees, what is the measure of angle BOC? Represent the measure of angle BOC as θ\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "88°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "278cbeb2-e18c-4e9e-9182-5465bde81449"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram where AB is parallel to DE and angle C is a right angle, what is the degree measurement of angle D when angle 1 measures 135 degrees?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "45°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "e7dc1ba2-20eb-4c89-87da-f1d2a30a0080"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is an equilateral triangle in the diagram, represented by the symbol LWD. The length of line DL is 15. What is the length of line LW?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "15",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "fa903a15-48f0-4b42-aeb1-43e10e4951b4"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the length of the AC side is 22, the length of the AB side is 6, the length of the BD side is 8 and the diagonal of the BDEC rectangle is 23, compute the perimeter of the ABC triangle. Round computations to 2 decimal places.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "49.56",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "78b91b57-e216-4112-bdf9-0e94a61511fb"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In parallelogram ABCD shown in the figure, point O is the intersection of diagonals AC and BD. It is given that AC is perpendicular to BC, and the lengths of AB and AD are 5 and 3 units respectively. Determine the length of OA\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "af77e1bc-9bd3-42e8-8c1b-fbfbe31a4b47"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If a sector with a radius of 30.0 units and a central angle of 120.0 degrees is used to form the lateral surface of a cone, what is the radius of the base of the cone? Represent the radius of the base as 'r'\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "10cm",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "6d03570f-8459-41a4-8762-0a355628df1b"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given diagram, let's denote the length of AD as variable z. If AD = 0.5 * DB, what is the area of quadrilateral DBCE in terms of z, given that the area of triangle ADE is 3?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "24",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "71ef8e65-067c-485e-b07f-92e6818bc2e3"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In parallelogram ABCD, if AC is represented by the variable 'x', then what is the length of AO? Express the length of AO as 'y'\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "7d773059-cbd2-41fe-8ca7-903b1cd4931f"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is a rectangle in the diagram, represented by the symbol XMZV. The length of line ZV is 6. What is the length of XM?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "bc1ce65c-ca9b-4a9e-9765-4a79d72df977"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle T. The measure of the central angle QTJ is 53 degrees. What is the degree of the arc formed by points Q and J on circle T?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "26.5 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "9fff3081-032a-4004-91ca-2f067df90099"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is a regular pentagon in the diagram, represented by the symbol OZVRT. The length of line TO is 9. What is the length of line TZ?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "ff4ea306-9cff-4519-a539-9f22e163a576"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is a triangle PDG. What is the sum of the degrees of angle PDG, angle DPG, and angle GPD?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "180",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "f6f371b5-9dd4-4953-a69f-c21f4637f6ea"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the provided diagram, line a is parallel to line b. Line c intersects with lines a and b at points M and N respectively. PN is perpendicular to line c, and angle 1 is denoted by the variable 'u' where u = 70°. What is the degree measure of angle 2, expressed as 'v' in relation to 'u'?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "20°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "e7528fac-f697-4ac3-a5f2-734a5ce8cb67"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If point O is the center of the circumscribed circle in triangle ABC and angle 1 measures 37.0 degrees, what is the degree measurement of angle 2 when OB is extended?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "53°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "2eddda2f-1417-494b-a525-d2c2b7881ac9"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle E. There are lines MW, MJ, ES, EX in the diagram. Which lines are equal in length to line ME?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "MW, MJ",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "91ac9ded-7c8c-4f85-a1a0-f03460a6b590"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, BP and ZW are both diameters of circle N, and their lengths are equal. If the length of NB (which is the radius of the circle) is 1.3, what is the length of ZW?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "2.6",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "aeb3d822-9bc3-4216-ab88-3856d95e81fa"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the ACDEF shape is a combination of a rectangle and an equilateral triangle and the area of the ACDEF shape is 90, compute the degree of the CBA angle. Round computations to 2 decimal places.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "38.32",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "4a440b4d-1673-4f18-bfb2-05f2931d7067"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If AB serves as the diameter of circle O and points C and D are positioned on the circle, alongside lines AD, CD, AC, and BC being connected, what would be the size of angle ADC, knowing that angle CAB measures 35 degrees?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "55°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "7fffc625-13ee-4b61-b8a5-e888361ca4e5"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Given the diagram with AB parallel to CD, angle 1 measuring 90 degrees, and angle 2 measuring 32 degrees, what is the measure of angle 3?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "122°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "b4d8f0f8-e73b-4b2e-9e91-d279c4ce1f63"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Triangle ABC is depicted in the diagram, with BD serving as its median. Points E and F denote the midpoints of BD and CE respectively. If the area of triangle ABC is 12, what is the area of triangle AEF?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "2dec9407-1f1d-4247-9036-57d66a33e094"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If angle AOB in rectangle ABCD measures 60° and AB is equal to 2, what is the value of AC?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "bee89bfc-1d5d-4b64-9664-3b9a31c87a24"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>What fraction of the objects are cylinders?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "5/11",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "c7307308-8a5a-48ae-9708-c3a6d6334e8c"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>As shown in the figure, A, B, C, D are on circle O, and BC is the diameter of circle O. If angle D = 36.0, then the degree of angle BCA is ()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "54°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "82e82fc2-3762-4bd7-99f3-ebddaa18678e"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, the length of MG is given as 3.2 units. What is the radius of the smaller circle?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "1.6 units",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "3b36fc66-4941-4054-9ce9-2cb44d6f09e0"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the area of the lime semi-circle is 127.17, compute the perimeter of the ABCD rectangle. 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": "66",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "962ce775-db31-49ce-bb48-81d0931f0f61"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the perimeter of the ABCD rectangle is 92, the ABEF shape is a combination of a rectangle and a semi-circle, the perimeter of the ABEF shape is 98, the BEHIJ shape is a rectangle where an equilateral triangle has been removed from one side of it, the length of the EH side is 10 and the perimeter of the BEHIJ shape is 72, compute the length of the AD side of the ABCD rectangle. 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": "23.98",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "d6557ac9-83e5-452e-8f63-29b1c2af86b2"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the figure, the diagonal AC and BD of parallelogram ABCD intersect at point O, and AC + BD = 64.0, CD = 24.0, then the perimeter of triangle ABO is ()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "56.0",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "3e9c492f-25e1-4068-aa0b-938ae0d57f42"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle X. The line JR is perpendicular to the line JC at point J. What is the measure of angle JXR?\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": "be07ab27-977a-4935-888e-1b5c7e391110"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>What is the degree of angle 2 in the figure, where line a is parallel to line b and angle 1 measures 108.0 degrees?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "72°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "557524ec-ca84-4029-a57d-1f15c43ab958"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the angle C measures 34.0 degrees and the points A, B, and C are illustrated on circle O, what would be the measurement of angle AOB?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "68°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "4f652f69-9103-4ea5-bda2-253b54e7d66d"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In triangle ABC, with AB = x, angle C = 90°, and angle A = y, where x = 8 and y = 30°, if DE is the median line, what is the length of DE? Express the length of DE in terms of x and y\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "475d2755-8939-4068-a779-70ffdb5f8edb"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the provided figure, consider AB as the diameter of circle O, AD as the tangent of circle O, and BC as the line parallel to OD that intersects circle O at point C. Given that AB has a length of 2.0 units and OD has a length of 3.0 units, what is the value of BC, represented as variable y in relation to AB and OD?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "\\frac{2}{3}",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "8541c3f2-c361-4517-9c16-49f38f58a89e"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If points A, B, and C lie on circle O and angle A measures 50 degrees, what is the measure of angle OBC?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "40°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "3fc691d2-41c1-4fac-9d0f-c41bd3d04907"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the BCDEF shape is a combination of a rectangle and an equilateral triangle, the length of the CD side is 14, the perimeter of the BCDEF shape is 84, the ACGH shape is a rectangle where a semi-circle has been removed from one side of it, the length of the CG side is 7 and the perimeter of the ACGH shape is 38, compute the length of the AB side of the ABC right 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": "18.46",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "6623d747-3a7f-46b3-885f-1daa29c3453e"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a triangle HYD with sides HY = 3.64 and angles HYD = YDH = DHY = 60 degrees. What is the length of HD?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "3.64",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "965e0925-2190-4fdb-aded-a3c2f6de97c1"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given figure, let the radius of circle O be denoted by variable 'r' (r = 5.0). AB is a chord, OC is perpendicular to AB, and C is the foot of the perpendicular. If OC is represented by variable 'x' (x = 3.0), what is the length of chord AB? Express the length as 'l' in terms of 'r' and 'x'\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "f256be76-5d70-44ef-a1b2-8472d341d012"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In triangle ABC, DE is parallel to BC. If the ratio of AD to AB is 3:4 and AE measures 6.0, determine the length of AC\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "04fb301a-1b3f-46e3-a006-455660b8d93f"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle C with a measure of angle LCR equal to 90 degrees. What type of angle is angle LCR?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "a right angle",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "b9bab46d-1086-4294-a4dc-f6445f59e9ba"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is a triangle XCW. The measure of angle CXW is 70 degrees. What is the sum of the measures of the other two angles of the triangle?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "110 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "92f705c8-6096-4a60-8f8a-64f61078fb97"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Given that line l1 is parallel to line l2, and a right-angle triangle board with a 30° angle is placed as shown in the figure, if angle 1 is 25°, then angle 2 is equal to ()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "55°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "e50d5d14-4eb8-4b59-bce2-2c2ec7dbe551"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>What is the degree measure of angle A if point A is a point on circle O, and angle OCB is 40°?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "50°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "6a66f7f4-02dd-4b9e-bba5-decf1545e090"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Consider the figure provided, where line a and line b intersect at point O. Ray c forms a perpendicular line with line a, with point O acting as the foot of the altitude. If angle 1 is measured at 40°, what is the magnitude of angle 2?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "130°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "7dc1f78f-7fa5-4352-ad76-d93eb9a79816"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>The diagram depicts circle O with OA as its radius, and point B positioned on OA but not coinciding with points O or A. Upon intersecting circle O, the perpendicular line passing through point B forms a rectangle OBCD with OB and BC as sides. Given CD = 6 and BC = 8, what is the length of AB?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "df58d6d5-8dab-48b2-be7d-c9469a2de972"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>CR is the extension line of HC in the diagram. Which three points are collinear?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "H, C, and R",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "8bd4f17d-2108-4124-975e-8360cfe4999e"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>With reference to the given figure, where line segments BO and CO bisect angles ABC and ACB respectively, and line segment MN is parallel to BC, the lengths of AB and AC have been determined as 36.0 and 24.0 respectively. What will be the perimeter of triangle AMN?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "60",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "1454bf49-ceb2-43d6-a852-dcbf6e131b73"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle R with a radius of 4.8. What is the circumference of the circle R? Approximating π≈3.14.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "30.144",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "e785a9ea-50b7-4ea2-89a9-537aa835d47f"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given diagram, if angle A1 is 80°, angle A2 is 20°, and angle A3 is 40°, determine the measure of angle BOC\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "140°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "c4716fe1-35a8-4ae6-8c53-2615a631527f"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given figure, let's denote the measure of angle A as variable x where x = 34.0 degrees. What is the measure of angle C in terms of x?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "28°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "f7f5dc65-a50f-4bc5-9458-2f0dab6b0763"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given figure, AB is parallel to CD, and the measure of angle 1 is 135°. Find the measure of angle A. Let the measure of angle A be denoted as x\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "45°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "942f1811-9293-4a9e-9edc-8e127f57fd82"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In quadrilateral ABCD, as depicted in the figure, with AC being perpendicular to BC, AD being parallel to BC, and BD being the angle bisector of angle ABC, what is the value of EF if BC has a length of 3 units and AC has a length of 4 units?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "b7e12119-b065-419e-8c83-98da0e14fece"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given diagram, line AB and line CD are parallel. Line EF intersects line AB and line CD at point O and point G, respectively. If angle EOP is 35° and line OP bisects angle EOB, what is the measure 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": "1e9c6283-886c-497f-98b4-26cb2177593c"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given figure, let's denote the degree of the central angle angle COD in the regular pentagon ABCDE as variable z. What is the value of z?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "72°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "3fd6a90e-f976-412e-8608-3fafb349f749"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle F with a radius of 1.2. The length of the line FH is equal to 1.2. What is the circumference of the circle F? Approximating π≈3.14.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "expressed in terms of π",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "2b594c8e-cd16-412d-8da1-7185f5fa225c"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the trapezoid MSQP, which two lines are parallel?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "MS and QX",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "cd99a372-c226-41e7-813e-fba36645bd57"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the provided figure, if line a and line b are parallel, angle 1 measures 45 degrees, and angle 2 measures 65 degrees, then what is the measure of angle 3?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "110°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "995c1d71-01f1-48ba-a96e-83a09e2d3ed2"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>As shown in the figure, the three vertices of triangle ABC are all on circle O, AD is the diameter, and angle CAD = 56.0, then the degree of angle B is ()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "34°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "67bd7caf-5f38-48f2-b377-4236446a08fb"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the triangle VFQ, the measure of angle FVQ is 60 degrees. What is the sum of the measures of angles VFQ and QVF?\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": "c86d3369-f5f0-41c3-996f-582f686bc3c2"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Line LP is the line connecting the midpoint L of line NT and the midpoint P of line TX. What is the length of line LN if the length of line NT is 13?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "6.5",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "f4e9fc73-79ed-4896-93be-9b98de68cdd6"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the ABCD shape is a combination of a rectangle and a semi-circle, the BAFGH shape is a rectangle where an equilateral triangle has been removed from one side of it, the perimeter of the BAFGH shape is 60, the CBIJ shape is a rectangle where a semi-circle has been removed from one side of it and the area of the CBIJ shape is 60, compute the perimeter 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": "73.74",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "4f5a973c-b9ff-4117-8a76-025c7299387f"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle M. The angle SMU is the central angle of the circle M, and its measure is 81 degrees. What is the degree of the arc formed by points S and U on the circle M?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "81 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "226424e6-8668-4627-906b-bae9c69e3c34"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If we have a diagram showing that line segment DE is parallel to line segment BC and line segment BE bisects angle ABC, with angle 1 measuring 68°, what is the value of angle CBE?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "34°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "7e192bec-fd79-4334-8c85-92408fe2f0cf"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the lime shape is a combination of a rectangle and an equilateral triangle and the area of the lime shape is 102, compute the length of the side of the lime shape 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": "11.56",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "5578d38b-b5b3-4b01-9faa-366590d798f9"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>As shown in the figure, the pillar OD of the seesaw AB passes through its midpoint O and is perpendicular to the ground BC, the foot of perpendicular is D, OD = 0.5, when one end B touches the ground, the height AC of the other end A from the ground is ()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "1m",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "b23cc891-4ec6-4a08-9bae-2d9da5c419fa"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given figure, there are two trees AB and CD positioned side by side on the left and right. The height of the small tree is AB = 6.0, and the height of the big tree is CD = 9.0. Xiao Ming has estimated that his eyes are above the ground EF = 1.5, and he is standing at point F while looking to the right. In order to reach point C at the top of the big tree, Xiao Ming is currently at a distance BF = 2.0 from the small tree. What is the distance BD between the two trees?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "\\frac{4}{3}m",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "5a627989-1f94-434a-8a3a-60b2ae91ef6b"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the parallelogram ABCD depicted in the diagram, let's represent the length of CD as variable p and the length of DE as variable q. If CD is twice the length of DE (p = 2q) and the area of triangle DEF is 3.0, what is the area of triangle ABF in terms of p and q?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "b502dd0a-125f-4743-a2a6-560ed0d20836"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In triangle ABC, the perpendicular bisector of AB intersects AB and BC at points D and E respectively. Connect AE. If AE = 8 and EC = 4, then the length of BC is ()\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "12.0",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "ed879f9f-1154-4663-a97e-d6d8b0990c85"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>The period of the red curve is ____ that of the blue curve.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "larger than",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "be380ba1-44c5-4860-901b-f2c3b45251f4"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Line HD is the line connecting the midpoint H of line WM and the midpoint D of line BF. What is the length of line HW if the length of line WM is 12?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "e9971547-9362-46b2-b1dd-f9c1164548dc"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given figure, the angle AOB measures 30.0. Point P lies within angle AOB, with OP measuring 10.0. Points M and N are positioned on OA and OB, respectively. Determine the minimum value of the perimeter of triangle PMN and express it as a variable 'x'\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "544b4eb1-35f8-4e8f-a7d8-4910e4a7963e"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In circle O with AB=CB, the parallel line to BC passing through A intersects the tangent at point D. Determine the degree of angle ADC if angle ABC equals 46°\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "67°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "c686707a-accc-47ea-9451-180df411a8b6"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Given that triangle ABC is inscribed within circle O, and angle AOB measures 100 degrees, what is the degree measure of angle ACB?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "130°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "06547fd6-5a96-4e30-9168-3068ed560598"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, the line VH is the radius of the circle V. What is the diameter of the circle V if the radius is 1.6?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "3.2",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "79333fd9-3ef0-45fb-8c87-8191408a7f66"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Consider the given figure of circle O, where angle AMD is represented by variable h (h = 100.0°) and angle A is represented by variable k (k = 30.0°). What is the value of angle B, expressed as variable n in terms of h and k?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "50°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "ddb22e9a-8eab-40cf-98ce-3d6c82c8589e"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>refer to the following diagram that shows a closed electrical circuit. What is the electric current of the circuit? \nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "0.1953",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "12b8b2ee-16a4-4700-a32f-6944571875fe"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>If the perimeter of the ABCD rectangle is 70, the ABEFG shape is a rectangle where an equilateral triangle has been removed from one side of it, the area of the ABEFG shape is 78, the length of the BE side is $4x + 2$, the length of the BH side is $2x + 8$, the length of the EH side is $5x + 4$ and the perimeter of the BEH triangle is $5x + 26$, compute the length of the AD side of the ABCD rectangle. Round computations to 2 decimal places and round the value of the variable \"x\" to the nearest natural number.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "22.9",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "0b7d7a4b-7cab-4c71-83e3-9a638ce6a14b"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle D with a central angle RDT measuring 130 degrees. What is the degree of the arc formed by points R and T on circle D?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "130 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "5e02dc57-904c-4d0f-8b93-b6ddaf9ca0ee"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>According to the boarding pass, how long is the flight time of this airplane? Answer the question using the total number of minutes. \nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "278",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "b8629d55-89ff-4895-8967-325d89d1e70c"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle M. The measure of the angle WIQ is equal to 20 degrees. What is the degree of the arc formed by points I and Q on circle M?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "10 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "8f074b8c-b284-4e5e-b53d-ac682afb59b0"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>As presented in the figure, triangle ABC is demonstrated, where AD is the median and E is the midpoint of AD. If BE is subsequently connected, and it is known that the area of triangle ABC is 12, what is the precise value of the area of triangle ABE?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "98639c8c-9f06-49f6-8080-8e3ee6abee21"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle H with a radius of 1.3. What is the circumference of the circle H? Approximating π≈3.14.\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "2.6π",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "5b0c4d87-f65b-407c-9918-b5c555073973"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given configuration, two right triangular plates are positioned such that the leg of the triangular plate with an angle of 30.0 coincides with a leg of the triangular plate with an angle of 45.0. Determine the degree measure of angle 1 in this setup\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "75°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "d7ac981c-ce26-45a6-a575-b3cb6964a326"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Line UD is the line connecting the midpoint U of line QH and the midpoint D of line HW. If the length of QH is 8, what is the length of 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": "e7d82aee-89e0-4f3a-93cc-4263c76433f8"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, AB is the diameter of circle O, and triangle ABC is inscribed in the circle. Point D lies on AB, and it is such that BC equals BD. When CD is extended to intersect circle O at point E, and then AE is connected, what is the magnitude of angle CAE if angle B is 70 degrees?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "75°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "d137ea41-cad0-4036-90be-fe0714c55c99"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>What is the surface area of this pink right square pyramid?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "305.9126",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "4879c959-3b27-4067-b701-d5b08622d200"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, consider triangle ABC, where angle A measures 40 degrees and AB is equal to AC. Point D lies on side AC, and triangle BCDE is formed with CB and CD as sides. Determine the degree measure of angle E and denote it as θ\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "70°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "09084728-a5f3-40e1-a22f-ee92bb13cd51"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In triangle XYZ, angle Y = 90°. LM is perpendicular to XZ at point M, LM = a, LY = b, MY = c. Find the length of XZ, denoted as 'd'\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "10.5",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "bd7db16b-e97a-48ad-81ce-8322b02f2566"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>The line NV is the tangent line of the circle L at point H. What is the measure of angle LHV?\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": "81eea462-dbe2-4f19-a3e3-153a039a5014"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle N. The measure of the angle WND is equal to 119 degrees. The measure of the angle DNV is equal to 59 degrees. The measure of the angle VNU is equal to 111 degrees. What is the measure of angle UWN?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "71 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "f36ed569-0fc0-4542-8823-18d43ab63654"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the given parallelogram ABCD, if the degree measure of angle C is 120.0, and we extend BA to point E and DA to point F, what is the measure of angle E + angle F?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "60°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "cc619fa7-3493-4178-9562-2b7e5008683f"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, line AB is parallel to line CD, and it also bisects angle EAD. If angle 1 measures 100 degrees, what is the measure of angle 2?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "40°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "2449f389-39eb-4690-8090-5f63ad78c08a"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In the diagram, there is a circle N. The angle RNT is the central angle of the circle N, with a measure of 105 degrees. What is the degree of the arc formed by points R and T on circle N?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "52.5 degrees",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "3b9e8c05-8a28-4798-9047-274657491ad2"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>There is a right triangle, represented by the symbol ZSK. ZL is the extension line of KZ. Line SP is the line connecting point S and the midpoint P of line KZ. What is the length of line PK?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "61fe5001-b2fe-4cdc-9092-21e1b4033448"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In triangle ABC, let's denote the length of AC as variable p and the length of BC as variable q. CE is the median, CD is the angle bisector, AF is perpendicular to CD, and intersects the extended line of CD at point F. What is the length of EF, expressed as variable r in terms of p and q?\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": "01a48b20-d66f-49fd-bacd-f136566c8762"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Consider the given figure, which displays three squares labeled a, b, and c positioned on the line l. Let's assign variables p and q to represent the areas of squares a and c respectively (p = 5.0 and q = 11.0). What is the area of square b, denoted as variable r in terms of p and q?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "16",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "46b610c6-16ea-44d8-ab02-0bed0e388611"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>In triangle ABC, with points D and E positioned on edges AB and AC respectively, and with DE running parallel to BC, the length of edge EC is represented by 'l' units. Given that the ratio of AD to BD is 'p' to 'q' (p = 3.0, q = 4.0), what is the length of AE in terms of 'l'?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "f82e7c77-4565-4256-b300-d98a7b5a2af2"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Consider circle O with chord AB and tangent BC intersecting at point C, where OC is perpendicular to OA. If the measure of angle OAB is denoted as 'y' degrees, determine the magnitude of angle OCB in terms of 'y'\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "44°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "e913edd8-1b43-47d2-9f77-66f44b0c83b8"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Given a rectangular paper ABCD and its diagonal BD, in the provided figure, folding along BD results in point C coinciding with point E. If the intersection of BE with AD is marked as F, and folding of triangle DEF along DF leads to point E coinciding with point G, with DG bisecting angle ADB, what would be the degree measure of angle ADB?\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "36°",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "910e0447-15ec-4596-96ef-0c8425ce133a"
}
|
|
multimodal_opensource_math
|
[
{
"content": "<image>Let's consider an equilateral triangle ABC with midpoints D, E, F on sides AB, BC, and CA respectively. Provide the area of triangle DEF in relation to the area of triangle ABC using variables such as 'm' and 'n' denoting lengths in the triangles\nLet's think step by step and output the final answer within \\boxed{}.",
"role": "user"
}
] |
MATH
|
{
"ground_truth": "\\frac{1}{4}",
"style": "rule"
}
|
{
"difficulty": "1",
"index": "9566162d-286c-42ac-b6d2-f000f784e123"
}
|
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