ydeng9/llavaone_grpo_v2 · Datasets at Hugging Face

problem stringlengths 26 263	answer stringclasses 474 values	images images listlengths 1 1
<image>If the length of side ST is twice the length of side RT, what is the value of x?	6/5
<image>Determine the value of x that would make the quadrilateral a parallelogram. Choices: (A) 4 (B) 6 (C) 8 (D) 12	A
<image>Subtract all purple objects. How many objects are left?	8
<image>Determine the area of the highlighted section. Round to the nearest tenth. Choices: (A) 3.9 (B) 5.2 (C) 7.9 (D) 20.4	C
<image>Find the perimeter of the figure. Round to the nearest tenth if necessary	41.1
<image>What is the measure of angle JKL?	115
<image>Are there more spheres than cubes in the image?	Yes
<image>What is the measure of angle ZPW?	45
<image>If you add 5 yellow metallic balls to the existing yellow metallic balls, and then remove 2 yellow metallic balls, how many yellow metallic balls will remain?	4
<image>Is Blue Violet the maximum? Choices: (A) no (B) yes	B
<image>What type of vehicle is directly behind the golden wagon?	A car
<image>Are the small rubber object to the right of the brown matte bus and the small matte object in front of the large cyan matte double bus the same shape?	True
<image>If C E = t - 2. E B = t + 1, C D = 2, and C A = 10, find t. Choices: (A) 1 (B) 2 (C) 3 (D) 4	C
<image>What is the measure of angle AEB in the diagram?	x
<image>Which color is greater, Light Seafoam or Pale Green? Choices: (A) no (B) yes	A
<image>Determine the measure of angle U. Choices: (A) 60 (B) 68 (C) 76 (D) 136	A
<image>What is the length of the line segment y?	6√3
<image>What is the area of the rhombus PQRS?	120
<image>What is the total number of objects remaining after subtracting all the balls?	7
<image>If the parallelogram is cut along the altitude from the 45° angle vertex to the base, what is the area of the resulting triangle?	57.5 m²
<image>What is the measure of angle QRP?	60
<image>What is the area of triangle JKL?	66.5
<image>Is this the roughest? Choices: (A) no (B) yes	A
<image>In rhombus FGHJ, the diagonals intersect at K. If the measure of angle FJH is 82 degrees, what is the measure of angle KHJ? Choices: (A) 15 (B) 33 (C) 49 (D) 82	C
<image>What shape is the shiny object that matches the color of the shiny aeroplane?	suv
<image>Is Dark Orange not the minimum? Choices: (A) no (B) yes	A
<image>Find the length of the line segment XT if E X = 24, D E = 7, and D T = 18	49
<image>If the parallelogram is reduced by a scale factor of 0.5, what would be the new perimeter?	9.6 ft
<image>Does Yellow Green have a consistent trend throughout the graph?	No
<image>Remove all blue metal blocks. Remove all big purple metallic spheres. How many items remain?	6
<image>In the given diagram showing the construction of line PS parallel to line RQ through point P, which statement provides the justification for this construction? Choices: (A) angle 1 = angle 2 (B) angle 1 = angle 3 (C) line PR = line RQ (D) line PS = line RQ	A
<image>If you add 5 big yellow matte blocks and 3 small purple glossy blocks, how many objects exist in total?	14
<image>What is the length of segment CO?	5
<image>If point C is the midpoint of AB, what is the distance from point A to point C?	5
<image>What color is the large object located behind the small cyan rubber car and to the right of the yellow metal bicycle?	yellow
<image>How many tiny things are either cyan metallic double buss or buss?	1
<image>Given that polygon ABCD is similar to polygon AEFG, m∠AGF = 108°, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26, find the perimeter of polygon ABCD	125.125
<image>In triangle PQR, if m∠PRZ = 4b - 17, m∠ZRQ = 3b - 4, and m∠QYR = 7b + 6, find the value of b	13.95
<image>Is there a vehicle that is the same color as the tram?	Yes
<image>Determine the value of y. Choices: (A) 14 (B) 17 (C) 21 (D) 25	C
<image>If angle A measures 60 degrees and angle B measures 80 degrees, what is the measure of angle C?	40
<image>Remove all blue shapes. Remove all gray spheres. How many shapes remain?	4
<image>Is Khaki greater than Aqua? Choices: (A) no (B) yes	A
<image>How many objects are neither spheres nor cylinders?	1
<image>In the diagram at the right, the segments shown are tangent to the circle. Find the value of x. Choices: (A) 5 (B) 6 (C) 7 (D) 9	A
<image>What is the value of x in the given hexagon ABCDEF?	120
<image>What is the color of the other tiny thing that has the same shape as the cyan matte thing?	green
<image>Are there any tandem bikes?	True
<image>What material is the object on the right side of the large object that is behind the matte object that is on the left side of the large yellow car?	rubber
<image>How many bars have a value greater than 30?	3
<image>How many objects are larger than the blue cylinder?	2
<image>What is the area of the quadrilateral BCDE in the diagram at the right, where circle O has a radius of 5, CE = 2, and diameter AC is perpendicular to chord BD at E?	15
<image>What is the total number of objects in the image?	4
<image>What is the measure of angle AEF?	90
<image>How many objects are smaller than the gold sphere?	3
<image>Which color represents the second highest value on the chart?	Web Gray
<image>How big is the thing that is to the right of the gray shiny bicycle and to the left of the big rubber fighter?	large
<image>What is the value of Light Seafoam at x-axis value 80?	60
<image>How many large red objects are there?	2
<image>Equilateral pentagon P Q R S T is inscribed in \odot U. Find m \angle P T S. Choices: (A) 36 (B) 72 (C) 120 (D) 144	D
<image>Are there more planes than cars in the image?	No
<image>If m \angle 1 = 131, find the measure of \angle 3	131
<image>What is the length of the perpendicular bisector of AB if AB is 10 units long?	5
<image>Does Light Gold have the highest value? Choices: (A) no (B) yes	B
<image>Is Aqua the median with the highest value? Choices: (A) no (B) yes	A
<image>Add 4 large red metal objects. How many large red metal objects exist?	4
<image>What is the length of side y in the right triangle?	4√3
<image>Subtract all green blocks. How many green spheres are left?	1
<image>Find y. Round to the nearest tenth. Choices: (A) 18.8 (B) 23.2 (C) 25.9 (D) 44.0	C
<image>Points A, B, C, and D are midpoints of the sides of square JETS. If the area of JETS is 36, what is the area of ABCD? Choices: (A) 9sqrt(2) (B) 18sqrt(2) (C) 9 (D) 18	D
<image>Add 1 cyan cylinder. How many of these exist now?	2
<image>How many small purple cubes are there?	1
<image>Are there more metallic vehicles than rubber ones in the image?	No
<image>What is the decimal equivalent, rounded to the nearest hundredth, of the ratio of tangent of angle A? Choices: (A) 0.60 (B) 0.80 (C) 1.33 (D) 1.67	C
<image>What color represents the smallest portion in the pie chart?	Red
<image>Points S, T, and U are the midpoints of some segments. Find z. Choices: (A) 0.383 (B) 0.575 (C) 1.15 (D) 2.875	B
<image>Do the tiny yellow metal tandem bikes to the left of the gray bicycle have the same number of cars behind the gray rubber bus?	True
<image>Is the red object shaped the same as the green object located to the right of the large yellow shiny school bus?	True
<image>What is the sum of the percentages of Light Slate and Medium Aqua, and is this sum greater than the percentage of Purple?	no
<image>A and B are equidistant from the line l. How many circles can be drawn with their centers on line l and that pass through both A and B? Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) >10	C
<image>What is the ratio of the length of the longer side to the shorter side of the parallelogram?	104:27
<image>Is there any human figure in the image?	No
<image>What is the value of Light Green at x-axis label 50?	36
<image>Are there any vehicles in the image that are the same color as the background?	No
<image>Is the color of the rubber object on the right side of the red shiny thing the same as the small metal scooter?	False
<image>Is there anything else that is the same shape as the blue rubber object?	True
<image>What is the color of the bicycle in the image?	Purple
<image>In the accompanying diagram, line AB is parallel with line CD and line FHE, AEF = 40, and FHG = 60. Find the measure of angle HGD. Choices: (A) 95 degrees (B) 100 degrees (C) 120 degrees (D) 140 degrees	B
<image>What is the maximum value reached by the Maroon line?	43
<image>Is the value of Hot Pink the lowest? Choices: (A) no (B) yes	B
<image>How many double buses have the same material as the large gray bicycle?	0
<image>What is the measure of the angle adjacent to the angle measuring 125° in the given circle?	55°
<image>How many large objects are present in the image?	3
<image>Are there any vehicles in the image that are the same color as the airplane's wings?	No
<image>Is Medium Aqua the median with a high value? Choices: (A) no (B) yes	A
<image>What is the perimeter of the quadrilateral EBFD if ABCD is a square with side 3, and E and F are the midpoints of sides AB and BC respectively?	9.7
<image>Add 6 of these. How many of these are left?	9
<image>What is the shape of the small blue thing?	chopper
<image>What is the measure of angle EOB?	180
<image>How many objects are neither cubes nor cylinders?	0

<image>If the length of side ST is twice the length of side RT, what is the value of x?

6/5

<image>Determine the value of x that would make the quadrilateral a parallelogram. Choices: (A) 4 (B) 6 (C) 8 (D) 12

A

<image>Subtract all purple objects. How many objects are left?

8

<image>Determine the area of the highlighted section. Round to the nearest tenth. Choices: (A) 3.9 (B) 5.2 (C) 7.9 (D) 20.4

C

<image>Find the perimeter of the figure. Round to the nearest tenth if necessary

41.1

<image>What is the measure of angle JKL?

115

<image>Are there more spheres than cubes in the image?

Yes

<image>What is the measure of angle ZPW?

45

<image>If you add 5 yellow metallic balls to the existing yellow metallic balls, and then remove 2 yellow metallic balls, how many yellow metallic balls will remain?

4

<image>Is Blue Violet the maximum? Choices: (A) no (B) yes

B

<image>What type of vehicle is directly behind the golden wagon?

A car

<image>Are the small rubber object to the right of the brown matte bus and the small matte object in front of the large cyan matte double bus the same shape?

True

<image>If C E = t - 2. E B = t + 1, C D = 2, and C A = 10, find t. Choices: (A) 1 (B) 2 (C) 3 (D) 4

C

<image>What is the measure of angle AEB in the diagram?

x

<image>Which color is greater, Light Seafoam or Pale Green? Choices: (A) no (B) yes

A

<image>Determine the measure of angle U. Choices: (A) 60 (B) 68 (C) 76 (D) 136

A

<image>What is the length of the line segment y?

6√3

<image>What is the area of the rhombus PQRS?

120

<image>What is the total number of objects remaining after subtracting all the balls?

7

<image>If the parallelogram is cut along the altitude from the 45° angle vertex to the base, what is the area of the resulting triangle?

57.5 m²

<image>What is the measure of angle QRP?

60

<image>What is the area of triangle JKL?

66.5

<image>Is this the roughest? Choices: (A) no (B) yes

A

<image>In rhombus FGHJ, the diagonals intersect at K. If the measure of angle FJH is 82 degrees, what is the measure of angle KHJ? Choices: (A) 15 (B) 33 (C) 49 (D) 82

C

<image>What shape is the shiny object that matches the color of the shiny aeroplane?

suv

<image>Is Dark Orange not the minimum? Choices: (A) no (B) yes

A

<image>Find the length of the line segment XT if E X = 24, D E = 7, and D T = 18

49

<image>If the parallelogram is reduced by a scale factor of 0.5, what would be the new perimeter?

9.6 ft

<image>Does Yellow Green have a consistent trend throughout the graph?

No

<image>Remove all blue metal blocks. Remove all big purple metallic spheres. How many items remain?

6

<image>In the given diagram showing the construction of line PS parallel to line RQ through point P, which statement provides the justification for this construction? Choices: (A) angle 1 = angle 2 (B) angle 1 = angle 3 (C) line PR = line RQ (D) line PS = line RQ

A

<image>If you add 5 big yellow matte blocks and 3 small purple glossy blocks, how many objects exist in total?

14

<image>What is the length of segment CO?

5

<image>If point C is the midpoint of AB, what is the distance from point A to point C?

5

<image>What color is the large object located behind the small cyan rubber car and to the right of the yellow metal bicycle?

yellow

<image>How many tiny things are either cyan metallic double buss or buss?

1

<image>Given that polygon ABCD is similar to polygon AEFG, m∠AGF = 108°, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26, find the perimeter of polygon ABCD

125.125

<image>In triangle PQR, if m∠PRZ = 4b - 17, m∠ZRQ = 3b - 4, and m∠QYR = 7b + 6, find the value of b

13.95

<image>Is there a vehicle that is the same color as the tram?

Yes

<image>Determine the value of y. Choices: (A) 14 (B) 17 (C) 21 (D) 25

C

<image>If angle A measures 60 degrees and angle B measures 80 degrees, what is the measure of angle C?

40

<image>Remove all blue shapes. Remove all gray spheres. How many shapes remain?

4

<image>Is Khaki greater than Aqua? Choices: (A) no (B) yes

A

<image>How many objects are neither spheres nor cylinders?

1

<image>In the diagram at the right, the segments shown are tangent to the circle. Find the value of x. Choices: (A) 5 (B) 6 (C) 7 (D) 9

A

<image>What is the value of x in the given hexagon ABCDEF?

120

<image>What is the color of the other tiny thing that has the same shape as the cyan matte thing?

green

<image>Are there any tandem bikes?

True

<image>What material is the object on the right side of the large object that is behind the matte object that is on the left side of the large yellow car?

rubber

<image>How many bars have a value greater than 30?

3

<image>How many objects are larger than the blue cylinder?

2

<image>What is the area of the quadrilateral BCDE in the diagram at the right, where circle O has a radius of 5, CE = 2, and diameter AC is perpendicular to chord BD at E?

15

<image>What is the total number of objects in the image?

4

<image>What is the measure of angle AEF?

90

<image>How many objects are smaller than the gold sphere?

3

<image>Which color represents the second highest value on the chart?

Web Gray

<image>How big is the thing that is to the right of the gray shiny bicycle and to the left of the big rubber fighter?

large

<image>What is the value of Light Seafoam at x-axis value 80?

60

<image>How many large red objects are there?

2

<image>Equilateral pentagon P Q R S T is inscribed in \odot U. Find m \angle P T S. Choices: (A) 36 (B) 72 (C) 120 (D) 144

D

<image>Are there more planes than cars in the image?

No

<image>If m \angle 1 = 131, find the measure of \angle 3

131

<image>What is the length of the perpendicular bisector of AB if AB is 10 units long?

5

<image>Does Light Gold have the highest value? Choices: (A) no (B) yes

B

<image>Is Aqua the median with the highest value? Choices: (A) no (B) yes

A

<image>Add 4 large red metal objects. How many large red metal objects exist?

4

<image>What is the length of side y in the right triangle?

4√3

<image>Subtract all green blocks. How many green spheres are left?

1

<image>Find y. Round to the nearest tenth. Choices: (A) 18.8 (B) 23.2 (C) 25.9 (D) 44.0

C

<image>Points A, B, C, and D are midpoints of the sides of square JETS. If the area of JETS is 36, what is the area of ABCD? Choices: (A) 9*sqrt(2) (B) 18*sqrt(2) (C) 9 (D) 18

D

<image>Add 1 cyan cylinder. How many of these exist now?

2

<image>How many small purple cubes are there?

1

<image>Are there more metallic vehicles than rubber ones in the image?

No

<image>What is the decimal equivalent, rounded to the nearest hundredth, of the ratio of tangent of angle A? Choices: (A) 0.60 (B) 0.80 (C) 1.33 (D) 1.67

C

<image>What color represents the smallest portion in the pie chart?

Red

<image>Points S, T, and U are the midpoints of some segments. Find z. Choices: (A) 0.383 (B) 0.575 (C) 1.15 (D) 2.875

B

<image>Do the tiny yellow metal tandem bikes to the left of the gray bicycle have the same number of cars behind the gray rubber bus?

True

<image>Is the red object shaped the same as the green object located to the right of the large yellow shiny school bus?

True

<image>What is the sum of the percentages of Light Slate and Medium Aqua, and is this sum greater than the percentage of Purple?

no

<image>A and B are equidistant from the line l. How many circles can be drawn with their centers on line l and that pass through both A and B? Choices: (A) 1 (B) 2 (C) 3 (D) 4 (E) >10

C

<image>What is the ratio of the length of the longer side to the shorter side of the parallelogram?

104:27

<image>Is there any human figure in the image?

No

<image>What is the value of Light Green at x-axis label 50?

36

<image>Are there any vehicles in the image that are the same color as the background?

No

<image>Is the color of the rubber object on the right side of the red shiny thing the same as the small metal scooter?

False

<image>Is there anything else that is the same shape as the blue rubber object?

True

<image>What is the color of the bicycle in the image?

Purple

<image>In the accompanying diagram, line AB is parallel with line CD and line FHE, AEF = 40, and FHG = 60. Find the measure of angle HGD. Choices: (A) 95 degrees (B) 100 degrees (C) 120 degrees (D) 140 degrees

B

<image>What is the maximum value reached by the Maroon line?

43

<image>Is the value of Hot Pink the lowest? Choices: (A) no (B) yes

B

<image>How many double buses have the same material as the large gray bicycle?

0

<image>What is the measure of the angle adjacent to the angle measuring 125° in the given circle?

55°

<image>How many large objects are present in the image?

3

<image>Are there any vehicles in the image that are the same color as the airplane's wings?

No

<image>Is Medium Aqua the median with a high value? Choices: (A) no (B) yes

A

<image>What is the perimeter of the quadrilateral EBFD if ABCD is a square with side 3, and E and F are the midpoints of sides AB and BC respectively?

9.7

<image>Add 6 of these. How many of these are left?

9

<image>What is the shape of the small blue thing?

chopper

<image>What is the measure of angle EOB?

180

<image>How many objects are neither cubes nor cylinders?

0