image imagewidth (px) 48 5.42k | problem stringlengths 7 764 | solution stringlengths 19 98 | reward_func stringclasses 2
values | has_image int64 1 1 |
|---|---|---|---|---|
Is the number of rubber balls that are on the right side of the gray matte thing greater than the number of large blue metal blocks? | <answer> yes </answer> | acc | 1 | |
Assume that line l1 is parallel to line l2, and both are intersected by line l3. If angle 1 equals 54 degrees, what is the degree of angle 2 at the intersection of lines l2 and l3? | <answer> 126° </answer> | acc | 1 | |
What number of green balls are behind the big cylinder that is in front of the large blue rubber block? | <answer> 1 </answer> | acc | 1 | |
How many objects are big objects that are to the right of the small blue matte sphere or cubes that are behind the blue matte block? | <answer> 2 </answer> | acc | 1 | |
Are there keyboards near the cat that is in the suitcase? | <answer> no </answer> | acc | 1 | |
Find x. | <answer> 235 </answer> | acc | 1 | |
If the area of the yellow sector is 39.25, compute the degree of the angle marked with question mark. Assume $\pi=3.14$. Round computations to 2 decimal places. | <answer> 46.8 </answer> | acc | 1 | |
If the perimeter of the ABCD rectangle is 80, the ABEFG shape is a combination of a rectangle and an equilateral triangle and the perimeter of the ABEFG shape is 66, compute the length of the AD side of the ABCD rectangle. Round computations to 2 decimal places. | <answer> 20.5 </answer> | acc | 1 | |
In the given diagram, if AB is parallel to CD, and angle E measures 27.0 degrees while angle C measures 52.0 degrees, what is the measure of angle EAB? | <answer> 79° </answer> | acc | 1 | |
In quadrilateral ABCD, a rhombus with diagonals AC and BD intersecting at point O, and angle ACD is represented by the variable 'x' (x = 30°), and BD is 2 units. What is the area of rhombus ABCD, expressed as 'y' in terms of 'x'? | <answer> 2√{3} </answer> | acc | 1 | |
What vehicle is the tree behind of? | <answer> bus </answer> | acc | 1 | |
As shown in the figure, connecting the midpoints of each side of a rectangle inscribed in a circle forms a rhombus ABCD. If BD = 4 and DF = 3, then the side length of rhombus ABCD is ( )
A. 4√2
B. 3√2
C.This is the sole correct solution.
D. 7 | <answer> C </answer> | acc | 1 | |
In \odot A, m \angle E A D = 42. Find m \widehat B C. | <answer> 42 </answer> | acc | 1 | |
Is the number of small yellow blocks that are in front of the small rubber object the same as the number of metallic spheres that are in front of the tiny metal block? | <answer> no </answer> | acc | 1 | |
Each pair of polygons is similar. Find C D.
A.This is the sole correct solution.
B. 4
C. 10
D. 3.333 | <answer> A </answer> | acc | 1 | |
Do you see sprinkles that are not pink? | <answer> no </answer> | acc | 1 | |
A pair of triangles, as shown in the figure, are stacked, and then the measure of ∠α is ()
A. 55°
B. 60°
C. 65°
D.The remaining selections are erroneous. | <answer> D </answer> | acc | 1 | |
If R T = 16, Q P = 24, and S T = 9, find P S. | <answer> 13.5 </answer> | acc | 1 | |
Subtract all cubes. How many objects are left? | <answer> 7 </answer> | acc | 1 | |
As shown in the figure, in △ABC, point O is the intersection of the angle bisectors AD and BE. If AB = AC = 10, BC = 12, the value of tan∠OBD is ( ) | <answer> 0.5 </answer> | acc | 1 | |
If L N = 12.4, what is J M?
A. 9.3
B. 12.4
C. 3.1
D.This is the sole correct solution. | <answer> D </answer> | acc | 1 | |
What is the measure of angle DBC if angle BFC is 20.0 degrees and points B and C lie on circle A, with the perpendicular bisector of AB intersecting circle A at points E and F, and the line segment AC intersecting at point D? | <answer> 30° </answer> | acc | 1 | |
If the ABCDE shape is a rectangle where an equilateral triangle has been removed from one side of it, the length of the AB side is 10 and the length of the height of the removed equilateral triangle of the ABCDE shape is 8, compute the perimeter of the ABCDE shape. Round computations to 2 decimal places. | <answer> 47.84 </answer> | acc | 1 | |
If the area of the brown parallelogram is 108, compute the degree of the angle marked with question mark. Round computations to 2 decimal places. | <answer> 18.66 </answer> | acc | 1 | |
In triangle ABC, with point D positioned on the perpendicular bisector of line segment AB, and angle CAD measuring 'a' degrees, while angle C measures 'b' degrees, calculate the measure of angle B. Express the measure of angle B as a function of 'a' and 'b'. | <answer> 25° </answer> | acc | 1 | |
How many items are there in the image? | <answer> 4 </answer> | acc | 1 | |
As shown in the figure, four parallel lines L{1}, L{2}, L{3}, L{4} and the intersecting lines L{5}, L{6}, with AB:BC:CD=1:2:3. If FG=3, then the sum of the lengths of segments EF and GH is ( ). | <answer> 6 </answer> | acc | 1 | |
Find the area of the shaded sector. Round to the nearest tenth, if necessary. | <answer> 322.0 </answer> | acc | 1 | |
If the cyan shape is a rectangle where a semi-circle has been removed from one side of it, the yellow shape is a rectangle where an equilateral triangle has been removed from one side of it and the perimeter of the yellow shape is 36, compute the area of the cyan shape. Assume $\pi=3.14$. Round computations to 2 decima... | <answer> 39.87 </answer> | acc | 1 | |
What number of tiny things are there? | <answer> 5 </answer> | acc | 1 | |
What number of other objects are the same material as the tiny blue thing? | <answer> 5 </answer> | acc | 1 | |
Subtract all red rubber spheres. How many spheres are left? | <answer> 4 </answer> | acc | 1 | |
If the cyan shape is a rectangle where an equilateral triangle has been removed from one side of it, the perimeter of the cyan shape is 108, the purple shape is a rectangle where a semi-circle has been removed from one side of it and the perimeter of the purple shape is 64, compute the length of the side of the cyan sh... | <answer> 24.16 </answer> | acc | 1 | |
Find x to the nearest tenth. | <answer> 10 </answer> | acc | 1 | |
Find x. | <answer> 140 </answer> | acc | 1 | |
How many things are either large red spheres or tiny rubber objects? | <answer> 1 </answer> | acc | 1 | |
In the figure, m \angle 1 = 123. Find the measure of \angle 5. | <answer> 123 </answer> | acc | 1 | |
Subtract all tiny purple blocks. How many blocks are left? | <answer> 4 </answer> | acc | 1 | |
If the cyan shape is a combination of a rectangle and a semi-circle, the brown shape is a rectangle where a semi-circle has been removed from one side of it, the area of the brown shape is 114 and the area of the green parallelogram is 120, compute the perimeter of the cyan shape. Assume $\pi=3.14$. Round computations ... | <answer> 65.83 </answer> | acc | 1 | |
As shown in the figure, if AB ≠ AD, AC and BD intersect at point O, OE ⊥ BD, and in the quadrilateral ABCD with a perimeter of 26 cm, AD intersects with E. The perimeter of △ABE is ( ) | <answer> 13 cm </answer> | acc | 1 | |
A large sunshade umbrella, when the canopy is fully opened, can be approximately regarded as a conical shape, as shown in the figure. Its slant height is 2.5m, and the height is 1.5m. The area of the fabric required to make this sunshade umbrella (ignoring the seams) is ( ) | <answer> 5πm^{2} </answer> | acc | 1 | |
Find x. | <answer> 2 \sqrt { 78 } </answer> | acc | 1 | |
As shown in the figure, in quadrilateral ABCD, ∠A = 90°, AB = 2√3, AD = 2. Points M and N are moving points on line segments BC and AB, respectively (including endpoints, but point M does not coincide with point B). Points E and F are the midpoints of DM and MN, respectively. The maximum length of EF is ( ). | <answer> 2 </answer> | acc | 1 | |
The segment is tangent to the circle. Find x. | <answer> 9 </answer> | acc | 1 | |
Please provide the bounding box coordinate of the region this sentence describes: a bus with a red , white , and blue stripe. | <answer> [372.58, 162.43, 610.41, 245.6] </answer> | iou | 1 | |
What number of small balls have the same material as the tiny yellow block? | <answer> 0 </answer> | acc | 1 | |
As shown in the figure, point D is inside △ABC, CD bisects ∠ACB, BD is perpendicular to CD, and ∠A = ∠ABD. If ∠DBC = 54°, then the measure of ∠A is ( )
A. 36°
B. 44°
C.All other options are wrong
D. 54° | <answer> C </answer> | acc | 1 | |
In circle O, secant SD intersects the circle at C and secant SB intersects the circle at A. If SC = 6, CD = 8, and SA = 4, find AB. | <answer> 17 </answer> | acc | 1 | |
Is the number of shiny things to the left of the large gray rubber sphere less than the number of blue spheres behind the brown matte object? | <answer> no </answer> | acc | 1 | |
Please provide the bounding box coordinate of the region this sentence describes: the fork that is under the leaf on the white plate. | <answer> [11.68, 0.0, 118.55, 158.84] </answer> | iou | 1 | |
Find x.
Answer the question using a single word or phrase. | <answer> 60 </answer> | acc | 1 | |
Are there the same number of big gray shiny objects and small brown rubber cylinders? | <answer> no </answer> | acc | 1 | |
What is the perimeter of the triangle? | <answer> 36 </answer> | acc | 1 | |
In the diagram at the right, circle O has a radius of 5, and CE = 2. Diameter AC is perpendicular to chord BD at E. What is the length of BD? | <answer> 8 </answer> | acc | 1 | |
Add 2 gray rubber things. How many objects exist? | <answer> 9 </answer> | acc | 1 | |
As shown in the figure, AB is the diameter of circle O. C and D are two points on circle O, and point C is the midpoint of the arc BAD. Connect CD, CB, OD, and CD intersects AB at point F. If angle ABC=20°, then the degree of angle AOD is (). | <answer> 100° </answer> | acc | 1 | |
Add 2 purple matte blocks. How many purple matte blocks exist? | <answer> 4 </answer> | acc | 1 | |
Find the measure of \angle A. Round to the nearest degree. | <answer> 74 </answer> | acc | 1 | |
As shown in the figure, if point O is the circumcenter of △ABC, ∠A = 40°, and BO and CO are connected, the degree of ∠BOC is ( ) | <answer> 80° </answer> | acc | 1 | |
What number of spheres are both right of the brown rubber sphere and behind the small rubber sphere? | <answer> 0 </answer> | acc | 1 | |
What is the value of x in the figure? | <answer> 12 </answer> | acc | 1 | |
Find x. | <answer> 2 \sqrt { 6 } </answer> | acc | 1 | |
As shown in the figure, bc is the diameter of the semicircle o, and d, e are two points on {bc}. Connecting bd and ce, they are extended to point a, and od and oe are connected. If ∠a=70°, the degree of ∠Doe is ( ) | <answer> 40° </answer> | acc | 1 | |
W X Y Z is a parallelogram. Find m \angle Y Z W. | <answer> 115 </answer> | acc | 1 | |
If the ABCD shape is a combination of a rectangle and a semi-circle, the perimeter of the ABCD shape is 104 and the area of the gray semi-circle is 189.97, compute the length of the AB side of the ABCD shape. Assume $\pi=3.14$. Round computations to 2 decimal places. | <answer> 23.73 </answer> | acc | 1 | |
As shown in the figure, connecting the midpoints D, E, F of △ABC in sequence results in a triangle with area S1; connecting the midpoints M, G, H of △CEF in sequence results in a triangle with area S2; connecting the midpoints of △CGH in sequence results in a triangle with area S3; if the area of the triangle formed by... | <answer> 21 </answer> | acc | 1 | |
If the degree of the CBA angle is 50, the area of the DAE sector is 100.48, the length of the AF side is 9, the degree of the FAD angle is 55, the area of the AFGD parallelogram is 108 and the angle BAC is vertical to DAE, compute the degree of the BCA angle. Assume $\pi=3.14$. Round computations to 2 decimal places. | <answer> 76.0 </answer> | acc | 1 | |
Please provide the bounding box coordinate of the region this sentence describes: girl. | <answer> [261.23, 152.55, 433.8, 572.77] </answer> | iou | 1 | |
What number of matte objects are big cylinders or small blue things? | <answer> 2 </answer> | acc | 1 | |
As shown in the figure, point P is a point on the diagonal AC of the rectangle. EF is parallel to BC, passing through point P, and intersects AB and CD at points E and F, respectively. PB and PD are connected. If AE = 2 and PF = 8, then the area of the shaded part in the figure is ( ). | <answer> 16 </answer> | acc | 1 | |
In the figure, m \angle 1 = 94. Find the measure of \angle 5. | <answer> 94 </answer> | acc | 1 | |
As shown in the figure, if ab‖cd‖ef, fc bisects ∠afe, ∠c=26°, then the degree of ∠a is ( ). | <answer> 52° </answer> | acc | 1 | |
Is the number of small brown objects behind the metal ball greater than the number of objects that are right of the tiny gray sphere? | <answer> no </answer> | acc | 1 | |
Is the number of large brown shiny balls on the right side of the big brown metal ball greater than the number of green matte objects to the right of the brown rubber cube? | <answer> no </answer> | acc | 1 | |
How many balls are either tiny purple metallic things or big blue shiny things? | <answer> 1 </answer> | acc | 1 | |
As shown in the figure, in △ABC, points D and E are located on sides AB and AC, respectively. If AD:DB = 3:1, AE = 6, then AC equals ( )
A. 3
B. 4
C. 6
D.Every other possibility is flawed. | <answer> D </answer> | acc | 1 | |
Use parallelogram to, find x. | <answer> 5 </answer> | acc | 1 | |
In the given diagram, triangle ABC is depicted with DE being parallel to AC. If the ratio of BD to DA is 1:2 and DE equals 3, what is the length of AC? | <answer> 9 </answer> | acc | 1 | |
Find y so that the quadrilateral is a parallelogram. | <answer> 4 </answer> | acc | 1 | |
How many things are either brown matte objects or tiny blue metal objects? | <answer> 2 </answer> | acc | 1 | |
As shown in the figure, AB∥CD, E and F are the midpoints of AC and BD respectively. If AB = 5 and CD = 3, then the length of EF is ( ) | <answer> 1 </answer> | acc | 1 | |
Please provide the bounding box coordinate of the region this sentence describes: the brown cow sitting behind the other cow. | <answer> [119.47, 166.38, 256.17, 302.57] </answer> | iou | 1 | |
Please provide the bounding box coordinate of the region this sentence describes: a brown haired man with a green sweatshirt looking at a kid. | <answer> [1.38, 4.84, 330.18, 402.7] </answer> | iou | 1 | |
What number of cylinders are either large red things or small metal things? | <answer> 1 </answer> | acc | 1 | |
Subtract all cubes. How many objects are left? | <answer> 5 </answer> | acc | 1 | |
In rectangle ABCD, where diagonal AC intersects diagonal BD at point O and E is the midpoint of BC, if the length of AC is represented by the variable 'h' (h = 8) and the angle ACB is represented by the variable 'k' (k = 30°), what is the measure of OE? Express the measure as 'n' in terms of 'h' and 'k'. | <answer> 2 </answer> | acc | 1 | |
In the given diagram, where AB is parallel to CD and point O lies on CD, if the measure of angle AOB is 90 degrees and angle B measures 33 degrees, what is the measure of angle AOC? | <answer> 57° </answer> | acc | 1 | |
Please provide the bounding box coordinate of the region this sentence describes: bottom center. | <answer> [91.43, 453.82, 315.84, 631.69] </answer> | iou | 1 | |
Find y. | <answer> 12 </answer> | acc | 1 | |
Is the number of cylinders that are to the left of the yellow matte cube greater than the number of big red matte cylinders that are to the left of the big red object? | <answer> no </answer> | acc | 1 | |
In △ABC, point M is the midpoint of BC, AD bisects ∠BAC, and BD is perpendicular to AD at point D. Extending BD intersects AC at point N. If AB = 4 and DM = 1, then the length of AC is ( ) | <answer> 6 </answer> | acc | 1 | |
How many brown matte balls are there? | <answer> 1 </answer> | acc | 1 | |
The area A of the shaded region is given. Find x. A = 128 ft^2. | <answer> 9.8 </answer> | acc | 1 | |
Find the measure of A C.
A.The remaining selections are erroneous.
B. 76
C. 19
D. 30 | <answer> A </answer> | acc | 1 | |
Find the perimeter of the triangle. Round to the nearest tenth if necessary. | <answer> 36 </answer> | acc | 1 | |
In triangle UVW, if angle V = 70° and angle W = 50°, and points D, E, F are the midpoints of sides UV, VW, and WU respectively, what is the measure of angle DEF? | <answer> 60° </answer> | acc | 1 | |
Find the area of the triangle. Round to the nearest hundredth. | <answer> 0.92 </answer> | acc | 1 | |
meters tall aims to determine the height of a tall tree. She walks along the length of the tree's shadow from point B to point A. Upon reaching point C, the top of her shadow aligns with the top of the tree's shadow. If the measurements of BC and CA are 4.0 meters and 1.0 meter respectively, what is the height of the t... | <answer> 8m </answer> | acc | 1 | |
Given tangent AC to the circle shown at the right. Find the measure of the arc designated by x.
A.The rest are mistaken alternatives.
B. 25
C. 50
D. 100 | <answer> A </answer> | acc | 1 | |
As shown in the figure, in parallelogram abcd, where ab=3 and bc=5, be bisects ∠abc, indicating points e on ad and f on ac, the value of \(\frac{af}{fc}\) is ( ). | <answer> \frac{3}{5} </answer> | acc | 1 |