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1
[{"role": "user", "question": "What is the period of this function? Answer the question with a floating-point number.", "hint": "", "options": {}, "choices": []}]
2.0944
numeric
analytic geometry
high school
float
10
[{"role": "user", "question": "Find the perimeter of the orange triangle.", "hint": "", "options": {}, "choices": []}]
15
numeric
plane geometry
elementary school
float
100
[{"role": "user", "question": "Using the food web above, what would happen to the other organisms if the number of lion were decreased?", "hint": "", "options": {"A": "coyote will increase", "B": "cheetah will decrease", "C": "sheep will increase", "D": "Nothing happen"}, "choices": ["A", "B", "C", "D"]}]
A
mcq
scientific figure
high school
multiple choice
101
[{"role": "user", "question": "The derivative of f(x) at x=-2 is ____ that at x=2", "hint": "", "options": {"A": "larger than", "B": "smaller than", "C": "equal to"}, "choices": ["A", "B", "C"]}]
B
mcq
analytic geometry
high school
multiple choice
102
[{"role": "user", "question": "What is the function value when x = 1?", "hint": "", "options": {}, "choices": []}]
2
numeric
analytic geometry
high school
float
103
[{"role": "user", "question": "The polar coordinates of a point are (1,5.8). Determine the Cartesian coordinates for the point. ", "hint": "", "options": {}, "choices": []}]
(0.886, -0.465)
open
analytic geometry
undergraduate
text
104
[{"role": "user", "question": "The clock shows the time. What time is it? Answer in the form of __:__.", "hint": "", "options": {}, "choices": []}]
13:18
open
arithmetic
elementary school
text
105
[{"role": "user", "question": "Which of the following numbers is the closest to the value of f(x) at x=1?", "hint": "", "options": {"A": "8", "B": "6", "C": "4"}, "choices": ["A", "B", "C"]}]
B
mcq
analytic geometry
high school
multiple choice
106
[{"role": "user", "question": "Is the function f:R\\{0}->R injective, surjective, or bijective?", "hint": "", "options": {"A": "Injective", "B": "Surjective", "C": "Bijective", "D": "Neither"}, "choices": ["A", "B", "C", "D"]}]
A
mcq
analytic geometry
undergraduate
multiple choice
107
[{"role": "user", "question": "Two identical circles are placed into a square in such a way that they are tangent to each other at a single point, and each circle is tangent to the square at two points, as shown. If the radius of each circle is 4 , what is the area of the square? ", "hint": "", "options": {}, "choices"...
186.5097
numeric
plane geometry
high school
float
108
[{"role": "user", "question": "The function f(x) is a cubic function. What is the value of f(x) when x = 4?", "hint": "", "options": {}, "choices": []}]
376
numeric
algebra
high school
float
109
[{"role": "user", "question": "The image shows the derivative of f(x). Where is the local min or max of f(x) at?", "hint": "", "options": {}, "choices": []}]
-2.5
numeric
analytic geometry
high school
float
11
[{"role": "user", "question": "As shown in the figure, lines AB and CD intersect at point O. OF bisects ∠AOC. If ∠AOF = 64, then what is the degree of ∠AOD?", "hint": "", "options": {}, "choices": []}]
52
numeric
plane geometry
high school
float
110
[{"role": "user", "question": "The image shows the derivative of f(x). Where is the local min of f(x) at? ", "hint": "", "options": {}, "choices": []}]
-2
numeric
analytic geometry
high school
float
111
[{"role": "user", "question": "The image shows the derivative of f(x). Where is the local max of f(x) at?", "hint": "", "options": {}, "choices": []}]
3
numeric
analytic geometry
high school
float
112
[{"role": "user", "question": "Find the area of azure part.", "hint": "", "options": {}, "choices": []}]
31.8086
numeric
plane geometry
high school
float
113
[{"role": "user", "question": "The angle of the sector is 80 degree. What is the area of the blue part?", "hint": "", "options": {}, "choices": []}]
60.0393
numeric
plane geometry
high school
float
114
[{"role": "user", "question": "What is on the north side of home?", "hint": "", "options": {"A": "university", "B": "restaurant", "C": "park", "D": "library"}, "choices": ["A", "B", "C", "D"]}]
A
mcq
scientific figure
elementary school
multiple choice
115
[{"role": "user", "question": "The sum of the three numbers on each of the two lines of the cross is 84. Find the number in the center.", "hint": "", "options": {}, "choices": []}]
5
numeric
puzzle test
elementary school
float
116
[{"role": "user", "question": "Squares ACDE and CBFG are constructed on the outside of △ABC with AC and BC as one side, respectively. Point P is the midpoint of EF. AC = 7, BC = 5, AB = 7, find the length of PQ.", "hint": "", "options": {}, "choices": []}]
3.5
numeric
plane geometry
high school
float
117
[{"role": "user", "question": "Is this function bounded?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
B
mcq
analytic geometry
undergraduate
multiple choice
118
[{"role": "user", "question": "What is the least upper bound of this function?", "hint": "", "options": {}, "choices": []}]
3.1416
numeric
analytic geometry
undergraduate
float
119
[{"role": "user", "question": "Find the area of the shaded part.", "hint": "", "options": {}, "choices": []}]
1.5
numeric
analytic geometry
undergraduate
float
12
[{"role": "user", "question": "What is the period of this function? Answer the question with a floating-point number.", "hint": "", "options": {}, "choices": []}]
6.2832
numeric
analytic geometry
high school
float
120
[{"role": "user", "question": "Is this graph a cyclic graph?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
A
mcq
graph theory
undergraduate
multiple choice
121
[{"role": "user", "question": "Which of the following fact is true about set A and set B in image?", "hint": "", "options": {"A": "A ⊂ B", "B": "A ⊃ B", "C": "A ∪ B", "D": "A ∩ B = ∅"}, "choices": ["A", "B", "C", "D"]}]
A
mcq
algebra
high school
multiple choice
122
[{"role": "user", "question": "In the diagram, there are three semi-circles. D is the diameter of left white semi-circle, and d is the diameter of the right white semi-circle. Find the area of azure part. ", "hint": "", "options": {}, "choices": []}]
18.8496
numeric
plane geometry
high school
float
123
[{"role": "user", "question": "Find the perimeter of the sector of the circle with radius r.", "hint": "", "options": {}, "choices": []}]
25.236
numeric
plane geometry
high school
float
124
[{"role": "user", "question": "What is the purple curve?", "hint": "", "options": {"A": "sigmoid function", "B": "tanh function", "C": "LeakyRelu function"}, "choices": ["A", "B", "C"]}]
B
mcq
analytic geometry
undergraduate
multiple choice
125
[{"role": "user", "question": "Which quadrant this function lies?", "hint": "", "options": {"A": "first quadrant", "B": "second quadrant", "C": "third quadrant", "D": "fourth quadrant"}, "choices": ["A", "B", "C", "D"]}]
D
mcq
analytic geometry
high school
multiple choice
126
[{"role": "user", "question": "The truncated right circular cone below has a large base radius 5 cm and a small base radius of 1 cm. The height of the truncated cone is 4 cm. What is the volume of this solid?", "hint": "", "options": {}, "choices": []}]
129.8525
numeric
solid geometry
high school
float
127
[{"role": "user", "question": "The ♠ is drawn on the sheet. We turn the sheet clockwise through 90° and then turn counter-clockwise 180°. Which figure can we now see? choice: (A) (B) (C) (D)", "hint": "", "options": {}, "choices": []}]
A
mcq
plane geometry
high school
multiple choice
128
[{"role": "user", "question": "The image shows the second derivative of cubic function f(x). Is f(x) concave or convex at x = 4?", "hint": "", "options": {"A": "convex", "B": "concave", "C": "inflection point"}, "choices": ["A", "B", "C"]}]
B
mcq
analytic geometry
high school
multiple choice
129
[{"role": "user", "question": "What is the volume of this azure right square pyramid?", "hint": "", "options": {}, "choices": []}]
1728.0
numeric
solid geometry
high school
float
13
[{"role": "user", "question": "As shown in the figure, AI, BI, and CI bisect ∠BAC, ∠ABC, and ∠ACB, respectively. ID is perpendicular to BC. The perimeter of △ABC is 36, and ID = 6. What is the area of △ABC", "hint": "", "options": {}, "choices": []}]
108.0
numeric
plane geometry
high school
float
130
[{"role": "user", "question": "What is the surface area of this pink right square pyramid?", "hint": "", "options": {}, "choices": []}]
857.2254
numeric
solid geometry
high school
float
131
[{"role": "user", "question": "f(z) = 34, C is the purple circle shown in the image. Find ∫cf(z)dz.", "hint": "", "options": {}, "choices": []}]
0
numeric
analytic geometry
undergraduate
float
132
[{"role": "user", "question": "If the black point is reflected in x-axis, what are the coordinates of its image? Please answer in the form (_, _) ", "hint": "", "options": {}, "choices": []}]
(3.000, 1.000)
open
analytic geometry
high school
text
133
[{"role": "user", "question": "If the red point is reflected in y-axis, what are the coordinates of its image? Please answer in the form (_, _) ", "hint": "", "options": {}, "choices": []}]
(4, 3)
open
analytic geometry
high school
text
134
[{"role": "user", "question": "If the blue point is reflected about the origin, what are the coordinates of its image? Please answer in the form (_, _) ", "hint": "", "options": {}, "choices": []}]
(3, -5)
open
analytic geometry
high school
text
135
[{"role": "user", "question": "Find the distance between point A and point B.", "hint": "", "options": {}, "choices": []}]
13.4164
numeric
analytic geometry
high school
float
136
[{"role": "user", "question": "What is the shortest distance from node S to node G in this directed graph?", "hint": "", "options": {}, "choices": []}]
37
numeric
graph theory
undergraduate
float
137
[{"role": "user", "question": "what is the first edge added to the MST when running Kruskal's Algorithm? In the case of a tie, choose the edge which comes first in alphabetical order i.e. if you had to choose between AS and AE, then you would choose AE first. ", "hint": "", "options": {}, "choices": []}]
DE
open
graph theory
undergraduate
text
138
[{"role": "user", "question": "The figure shows graphs of functions $f$ and $g$ defined on real numbers. Each graph consists of two perpendicular halflines. Which equality is satisfied for every real number $x$?", "hint": "", "options": {"A": "f(x)=-g(x - 5)", "B": "f(x)=g(x - 5)", "C": "f(x)=-g(x)-5", "D": "f(x)=g(x)-...
A
mcq
analytic geometry
high school
multiple choice
139
[{"role": "user", "question": "For each of the points A, B, C, D of the rectangle ABCD, the quotient (y-coordinate):(x-coordinate) is calculated. For which point will you obtain the smallest quotient?", "hint": "", "options": {"A": "A", "B": "B", "C": "C"}, "choices": ["A", "B", "C"]}]
B
mcq
analytic geometry
high school
multiple choice
14
[{"role": "user", "question": "The period of the red curve is ____ that of the blue curve.", "hint": "", "options": {"A": "larger than", "B": "equal to", "C": "smaller than"}, "choices": ["A", "B", "C"]}]
B
mcq
analytic geometry
high school
multiple choice
140
[{"role": "user", "question": "For each of the points A, B, C, D of the rectangle ABCD, the quotient (x-coordinate):(y-coordinate) is calculated. For which point will you obtain the smallest quotient?", "hint": "", "options": {"A": "A", "B": "B", "C": "C"}, "choices": ["A", "B", "C"]}]
B
mcq
analytic geometry
high school
multiple choice
141
[{"role": "user", "question": "The length of the diameter of this spherical ball is equal to the height of the box in which it is placed. The box is a cube and has an edge length of 25 cm. How many cubic centimeters of the box are not occupied by the solid sphere?", "hint": "", "options": {}, "choices": []}]
7443.7691
numeric
solid geometry
high school
float
142
[{"role": "user", "question": "Is this graph a bipartite?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
A
mcq
graph theory
undergraduate
multiple choice
143
[{"role": "user", "question": "Determine for which values of x=a the function is continuous but not differentiable at x=a.", "hint": "", "options": {}, "choices": []}]
1
numeric
analytic geometry
undergraduate
float
144
[{"role": "user", "question": "Find the area of shaded part.", "hint": "", "options": {}, "choices": []}]
0.4142
numeric
analytic geometry
undergraduate
float
145
[{"role": "user", "question": "P is a point inside the square ABCD, and PA = 8, PB = 16, PC = 24. Find the side length of the square. ", "hint": "", "options": {}, "choices": []}]
22.3835
numeric
solid geometry
high school
float
146
[{"role": "user", "question": "Find the missing number.", "hint": "", "options": {}, "choices": []}]
155
numeric
puzzle test
high school
float
147
[{"role": "user", "question": "Is this function differentiable?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
B
mcq
analytic geometry
high school
multiple choice
148
[{"role": "user", "question": "Is this function uniformly continuous on [-8, 8]?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
B
mcq
analytic geometry
high school
multiple choice
149
[{"role": "user", "question": "The function value f(1) is ____ f(-1)", "hint": "", "options": {"A": "smaller than", "B": "larger than", "C": "equal to"}, "choices": ["A", "B", "C"]}]
B
mcq
analytic geometry
high school
multiple choice
15
[{"role": "user", "question": "how many zeros this function has?", "hint": "", "options": {"A": "2", "B": "1", "C": "0"}, "choices": ["A", "B", "C"]}]
C
mcq
analytic geometry
high school
multiple choice
150
[{"role": "user", "question": "The function value f(1) is ____ 0", "hint": "", "options": {"A": "smaller than", "B": "larger than", "C": "equal to"}, "choices": ["A", "B", "C"]}]
B
mcq
analytic geometry
high school
multiple choice
151
[{"role": "user", "question": "what is the first edge added to the MST when running Kruskal's Algorithm? In the case of a tie, choose the edge which comes first in alphabetical order i.e. if you had to choose between AG and AD, then you would choose AD first. ", "hint": "", "options": {}, "choices": []}]
BF
open
graph theory
undergraduate
text
152
[{"role": "user", "question": "what is the first edge added to the MST when running Prim's Algorithm from node A? In the case of a tie, choose the edge which comes first in alphabetical order i.e. if you had to choose between AG and AD, then you would choose AD first. ", "hint": "", "options": {}, "choices": []}]
AC
open
graph theory
undergraduate
text
153
[{"role": "user", "question": "The azure 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", "hint": "", "options": {}, "choices": []}]
7.0686
numeric
plane geometry
high school
float
154
[{"role": "user", "question": "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", "hint": "", "options": {}, "choices": []}]
85.8407
numeric
plane geometry
high school
float
155
[{"role": "user", "question": "Find the missing number in the last node.", "hint": "", "options": {}, "choices": []}]
173
numeric
puzzle test
high school
float
156
[{"role": "user", "question": "Find the missing number in the last node.", "hint": "", "options": {}, "choices": []}]
262
numeric
puzzle test
high school
float
157
[{"role": "user", "question": "As shown in the figure, quadrilateral ABCD is a square, with DE parallel to AC, and CE equal to CA. Line EC intersects the extended line of DA at point F. AE = 4, find the length of AF", "hint": "", "options": {}, "choices": []}]
4
numeric
plane geometry
high school
float
158
[{"role": "user", "question": "What are the coordinates of the vector between two blue points?", "hint": "", "options": {}, "choices": []}]
(-1, 1)
open
plane geometry
high school
text
159
[{"role": "user", "question": "Find the area of the region bounded by the curves y = x^1/4, y = 1, and x = 5.", "hint": "", "options": {}, "choices": []}]
1.1814
numeric
analytic geometry
undergraduate
float
16
[{"role": "user", "question": "Find the value of the last row of calculations.", "hint": "", "options": {}, "choices": []}]
72
numeric
algebra
high school
float
160
[{"role": "user", "question": "The blue curve is the function transformed from black curve. What transformation is applied to the original function?", "hint": "", "options": {"A": "shift up", "B": "shift down", "C": "shift left", "D": "shift right"}, "choices": ["A", "B", "C", "D"]}]
B
mcq
analytic geometry
high school
multiple choice
161
[{"role": "user", "question": "On which number is the spinner more likely to land?", "hint": "", "options": {}, "choices": []}]
1
numeric
statistics
high school
float
162
[{"role": "user", "question": "On which color is the spinner more likely to land?", "hint": "", "options": {}, "choices": []}]
white
open
statistics
high school
text
163
[{"role": "user", "question": "The blue and green curves are f(x) and g(x). What is the monotonicity of f(x) + g(x)?", "hint": "", "options": {"A": "monotone increasing", "B": "monotone decreasing", "C": "undefined"}, "choices": ["A", "B", "C"]}]
A
mcq
analytic geometry
high school
multiple choice
164
[{"role": "user", "question": "The red and green curves are f(x) and g(x). What is the monotonicity of -f(x)?", "hint": "", "options": {"A": "monotone increasing", "B": "monotone decreasing", "C": "undefined"}, "choices": ["A", "B", "C"]}]
C
mcq
analytic geometry
high school
multiple choice
165
[{"role": "user", "question": "The purple and orange curves are f(x) and g(x). What is the monotonicity of 1/f(x)?", "hint": "", "options": {"A": "monotone increasing", "B": "monotone decreasing", "C": "undefined"}, "choices": ["A", "B", "C"]}]
A
mcq
analytic geometry
high school
multiple choice
166
[{"role": "user", "question": "The brown and black curves are f(x) and g(x). What is the monotonicity of f[g(x)]?", "hint": "", "options": {"A": "monotone increasing", "B": "monotone decreasing", "C": "undefined"}, "choices": ["A", "B", "C"]}]
A
mcq
analytic geometry
high school
multiple choice
167
[{"role": "user", "question": "quadrilateral ABCD is a square, with DE parallel to AC, AE=AC, and AE intersects CD at point F. The length of the side of ABCD is 16 amd CE = 14. Find the length of CF. ", "hint": "", "options": {}, "choices": []}]
14
numeric
plane geometry
high school
float
168
[{"role": "user", "question": "The blue and green curves are f(x) and g(x). Is f(x) + g(x) even or odd?", "hint": "", "options": {"A": "odd", "B": "even", "C": "neither"}, "choices": ["A", "B", "C"]}]
A
mcq
analytic geometry
high school
multiple choice
169
[{"role": "user", "question": "The purple and orange curves are f(x) and g(x). Is f(x)g(x) even or odd?", "hint": "", "options": {"A": "odd", "B": "even", "C": "neither"}, "choices": ["A", "B", "C"]}]
A
mcq
analytic geometry
high school
multiple choice
17
[{"role": "user", "question": "Find the area of the blue square.", "hint": "", "options": {}, "choices": []}]
49
numeric
plane geometry
elementary school
float
170
[{"role": "user", "question": "The red and green curves are f(x) and g(x). Is f[g(x)] even or odd?", "hint": "", "options": {"A": "odd", "B": "even", "C": "neither"}, "choices": ["A", "B", "C"]}]
A
mcq
analytic geometry
high school
multiple choice
171
[{"role": "user", "question": "What is the sum of interior angles in this polygon?", "hint": "", "options": {}, "choices": []}]
1080
numeric
plane geometry
high school
float
172
[{"role": "user", "question": "What is the sum of external angles in this polygon?", "hint": "", "options": {}, "choices": []}]
360
numeric
plane geometry
high school
float
173
[{"role": "user", "question": "Find the ∠A in this regular polygon.", "hint": "", "options": {}, "choices": []}]
120.0
numeric
plane geometry
high school
float
174
[{"role": "user", "question": "In the diagram below, both squares have a equal side length. What is the area of the azure region? ", "hint": "", "options": {}, "choices": []}]
1
numeric
plane geometry
high school
float
175
[{"role": "user", "question": "The equation of this ellipse is x^2/20.25 + y^2/20.25 = 1. Find the length of A1A2. ", "hint": "", "options": {}, "choices": []}]
9
numeric
analytic geometry
high school
float
176
[{"role": "user", "question": "The equation of this ellipse is x^2/4.0 + y^2/1.0 = 1. Find the length of B1B2. ", "hint": "", "options": {}, "choices": []}]
2
numeric
analytic geometry
high school
float
177
[{"role": "user", "question": "The equation of this ellipse is x^2/9.0 + y^2/2.25 = 1. Find the eccentricity of this ellipse. ", "hint": "", "options": {}, "choices": []}]
0.866
numeric
analytic geometry
high school
float
178
[{"role": "user", "question": "In the diagram, triangle ABC is right-angled at C. Also, points M, N and P are the midpoints of sides BC, AC and AB, respectively. If the area of triangle APN is 7, then what is the area of triangle ABC? ", "hint": "", "options": {}, "choices": []}]
28
numeric
plane geometry
high school
float
179
[{"role": "user", "question": "Find the missing number in the last node.", "hint": "", "options": {}, "choices": []}]
42
numeric
puzzle test
high school
float
18
[{"role": "user", "question": "Find the area of this triangle. Answer the question with a floating-point number.", "hint": "", "options": {}, "choices": []}]
3.8971
numeric
plane geometry
elementary school
float
180
[{"role": "user", "question": "Find the missing number in the last node.", "hint": "", "options": {}, "choices": []}]
44
numeric
puzzle test
high school
float
181
[{"role": "user", "question": "The line L1 and L2 are parallel to each other. Is ∠A the same as ∠B?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
A
mcq
plane geometry
high school
multiple choice
182
[{"role": "user", "question": "The line L1 and L2 are parallel to each other. Is ∠A the same as ∠B?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
A
mcq
plane geometry
high school
multiple choice
183
[{"role": "user", "question": "The line L1 and L2 are parallel to each other. Is ∠A the same as ∠B?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
A
mcq
plane geometry
high school
multiple choice
184
[{"role": "user", "question": "The line L1 and L2 are parallel to each other. Is ∠A the same as ∠B?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
A
mcq
plane geometry
high school
multiple choice
185
[{"role": "user", "question": "Based on the measurement results shown in the diagram, this blue angle is ( )°.", "hint": "", "options": {}, "choices": []}]
130
numeric
scientific figure
elementary school
float
186
[{"role": "user", "question": "Based on the measurement results shown in the diagram, this blue angle is ( )°.", "hint": "", "options": {}, "choices": []}]
60
numeric
scientific figure
elementary school
float
187
[{"role": "user", "question": "A sphere is inscribed in a cone with height 3 and base radius 2. What is the volume of the sphere ? ", "hint": "", "options": {}, "choices": []}]
5.1367
numeric
solid geometry
high school
float
188
[{"role": "user", "question": "Are two planes parallel?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
B
mcq
solid geometry
high school
multiple choice
189
[{"role": "user", "question": "What is the area of the azure part?", "hint": "", "options": {}, "choices": []}]
196.0612
numeric
plane geometry
high school
float
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