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DynaMath

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5 values
46
[{"role": "user", "question": "what is the limit of this function as x approches 0?", "hint": "", "options": {}, "choices": []}]
0
numeric
analytic geometry
high school
float
460
[{"role": "user", "question": "The radar chart below represents different categories. Which category has the highest value?", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": ["A", "B", "C", "D", "E"]}]
B
mcq
statistics
undergraduate
multiple choice
461
[{"role": "user", "question": "The radar chart below represents different categories. Which category has the lowest value?", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": ["A", "B", "C", "D", "E"]}]
E
mcq
statistics
undergraduate
multiple choice
462
[{"role": "user", "question": "The radar chart below represents different categories. Which category is second highest?", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": ["A", "B", "C", "D", "E"]}]
E
mcq
statistics
undergraduate
multiple choice
463
[{"role": "user", "question": "The radar chart below represents different categories. Which category is second lowest?", "hint": "", "options": {"A": "A", "B": "B", "C": "C", "D": "D", "E": "E"}, "choices": ["A", "B", "C", "D", "E"]}]
D
mcq
statistics
undergraduate
multiple choice
464
[{"role": "user", "question": "180 people were surveyed about their beverage preferences. The results are displayed in the Venn diagram below. What is the sum of people who prefer only Coffee or only Tea?", "hint": "", "options": {}, "choices": []}]
137
numeric
algebra
high school
float
465
[{"role": "user", "question": "210 customers were surveyed about their product preferences. The results are displayed in the Venn diagram below. How many more customers prefer only Non-Organic products than only Organic ones?", "hint": "", "options": {}, "choices": []}]
49
numeric
algebra
high school
single answer
466
[{"role": "user", "question": "200 people were surveyed about their environmental concerns. The results are displayed in the Venn diagram below. How many people are not concerned about either Climate Change or Deforestation?", "hint": "", "options": {}, "choices": []}]
37
numeric
algebra
high school
single answer
467
[{"role": "user", "question": "180 moviegoers were surveyed about their genre preference. The results are displayed in the Venn diagram below. How many people like both Action and Comedy movies?", "hint": "", "options": {}, "choices": []}]
50
numeric
algebra
high school
float
468
[{"role": "user", "question": "What is the intersection of sets A and B?", "hint": "", "options": {"A": "[2, 8, 10, 12, 13, 17, 19]", "B": "[1, 2, 8, 10, 11, 12, 13, 16, 17, 18, 19]", "C": "[1, 11, 16, 18]", "D": "[3, 4, 6]"}, "choices": ["A", "B", "C", "D"]}]
D
mcq
algebra
high school
multiple choice
469
[{"role": "user", "question": "What is the union of sets A and B?", "hint": "", "options": {"A": "[2, 3, 4, 5, 7, 9, 10, 12, 13, 14, 15, 16, 17]", "B": "[5, 10, 13, 14, 16]", "C": "[3, 4, 7, 9, 12]", "D": "[2, 15, 17]"}, "choices": ["A", "B", "C", "D"]}]
A
mcq
algebra
high school
multiple choice
47
[{"role": "user", "question": "What is the radius of this circle?", "hint": "", "options": {}, "choices": []}]
2
numeric
analytic geometry
high school
float
470
[{"role": "user", "question": "Which elements are unique to set A?", "hint": "", "options": {"A": "[8, 13, 14, 17, 18]", "B": "[3, 4, 5, 6, 7, 10, 15, 19]", "C": "[14]", "D": "[8, 13, 17, 18]"}, "choices": ["A", "B", "C", "D"]}]
B
mcq
algebra
high school
multiple choice
471
[{"role": "user", "question": "150 employees were surveyed about their skills. The results are displayed in the Venn diagram below. How many people possess unique skills?", "hint": "", "options": {}, "choices": []}]
87
numeric
algebra
high school
float
472
[{"role": "user", "question": "200 people were surveyed about how they like to travel. The results are displayed in the Venn diagram below. How many people don't like to fly in an airplane?", "hint": "", "options": {}, "choices": []}]
136
numeric
algebra
high school
float
473
[{"role": "user", "question": "Which elements are unique to set B?", "hint": "", "options": {"A": "[4, 13]", "B": "[2, 5, 7, 10, 16, 19]", "C": "[1, 8, 14, 17]", "D": "[2, 4, 5, 7, 10, 13, 16, 19]"}, "choices": ["A", "B", "C", "D"]}]
C
mcq
algebra
high school
multiple choice
474
[{"role": "user", "question": "Matrix A is given in the image. What is the determinant of the matrix A?", "hint": "", "options": {}, "choices": []}]
-40.774
numeric
algebra
undergraduate
float
475
[{"role": "user", "question": "Matrix A and B are given in the image. What is the determinant of the matrix (A * B)?", "hint": "", "options": {}, "choices": []}]
240.0
numeric
algebra
undergraduate
float
476
[{"role": "user", "question": "Matrix A is given in the image. What is the sum of all elements in the matrix A?", "hint": "", "options": {}, "choices": []}]
-14.8
numeric
algebra
undergraduate
float
477
[{"role": "user", "question": "Matrix A is given in the image. What is the sum of all elements in the matrix A?", "hint": "", "options": {}, "choices": []}]
-15.700000000000001
numeric
algebra
undergraduate
int
478
[{"role": "user", "question": "Matrices A, B, and C are given in the image. What is the sum of all elements in the matrix (A + B + C)?", "hint": "", "options": {}, "choices": []}]
35
numeric
algebra
undergraduate
float
479
[{"role": "user", "question": "Matrix A is given in the image. What is the Frobenius norm of the matrix A?", "hint": "", "options": {}, "choices": []}]
11.6263
numeric
algebra
undergraduate
float
48
[{"role": "user", "question": "How much money does Hunter need to buy 2 calendars?", "hint": "", "options": {}, "choices": []}]
16
numeric
statistics
elementary school
float
480
[{"role": "user", "question": "Matrix A is given in the image. What is the trace of the matrix A?", "hint": "", "options": {}, "choices": []}]
5.000000000000001
numeric
algebra
undergraduate
int
481
[{"role": "user", "question": "Matrix A is given in the image. What is the trace of the matrix A?", "hint": "", "options": {}, "choices": []}]
8.92
numeric
algebra
undergraduate
float
482
[{"role": "user", "question": "Matrix A is given in the image. What is the trace of the matrix A?", "hint": "", "options": {}, "choices": []}]
9.07
numeric
algebra
undergraduate
float
483
[{"role": "user", "question": "Matrix A is given in the image. What is the trace of the matrix A?", "hint": "", "options": {}, "choices": []}]
11.33
numeric
algebra
undergraduate
float
484
[{"role": "user", "question": "Matrix A is given in the image. What is the trace of the matrix A?", "hint": "", "options": {}, "choices": []}]
22.06
numeric
algebra
undergraduate
float
485
[{"role": "user", "question": "Matrix A and B are given in the image. What is the trace of the matrix (A * B)?", "hint": "", "options": {}, "choices": []}]
11
numeric
algebra
undergraduate
float
486
[{"role": "user", "question": "Matrices A, B, and C are given in the image. What is the trace of the matrix (A * B * C)?", "hint": "", "options": {}, "choices": []}]
-466
numeric
algebra
undergraduate
float
487
[{"role": "user", "question": "Matrices A, B, and C are given in the image. What is the trace of the matrix (A - B - C)?", "hint": "", "options": {}, "choices": []}]
35
numeric
algebra
undergraduate
float
488
[{"role": "user", "question": "Matrix A and B are given in the image. What is the trace of the matrix (A + B)?", "hint": "", "options": {}, "choices": []}]
14
numeric
algebra
undergraduate
float
489
[{"role": "user", "question": "Matrices A, B, and C are given in the image. What is the trace of the matrix (A + B + C)?", "hint": "", "options": {}, "choices": []}]
30
numeric
algebra
undergraduate
float
49
[{"role": "user", "question": "In the parallelogram ABCD, ∠A=123. What is the measure of ∠C?", "hint": "", "options": {}, "choices": []}]
123
numeric
plane geometry
high school
float
490
[{"role": "user", "question": "Matrices A, B, and C are given in the image. What is the trace of the matrix ((A + B) * C)?", "hint": "", "options": {}, "choices": []}]
-51
numeric
algebra
undergraduate
float
491
[{"role": "user", "question": "Matrices A, B, and C are given in the image. What is the trace of the matrix (A - B + C)?", "hint": "", "options": {}, "choices": []}]
5
numeric
algebra
undergraduate
float
492
[{"role": "user", "question": "x and y are the solutions of the above equations. What is the sum of x and y?", "hint": "", "options": {}, "choices": []}]
-16
numeric
algebra
high school
float
493
[{"role": "user", "question": "x, y, and z are the solutions of the above equations. What is x*y*z?", "hint": "", "options": {}, "choices": []}]
100
numeric
algebra
high school
float
494
[{"role": "user", "question": "x, y, and z are the solutions of the above equations. What is x + y + z?", "hint": "", "options": {}, "choices": []}]
1
numeric
algebra
high school
float
495
[{"role": "user", "question": "What is the value of a * b + c?", "hint": "", "options": {}, "choices": []}]
73
numeric
algebra
high school
float
496
[{"role": "user", "question": "What is the value of (e - f) / g?", "hint": "", "options": {}, "choices": []}]
9.0
numeric
algebra
high school
float
497
[{"role": "user", "question": "What is the value of (i ^ j) * k?", "hint": "", "options": {}, "choices": []}]
200
numeric
algebra
high school
float
498
[{"role": "user", "question": "Given positive integers m, n, and o. From the system equation in the image. What is the value of m * n - o?", "hint": "", "options": {}, "choices": []}]
98
numeric
algebra
high school
float
499
[{"role": "user", "question": "What is the value of a^2 + c?", "hint": "", "options": {}, "choices": []}]
108
numeric
algebra
high school
float
5
[{"role": "user", "question": "Is Dark Magenta greater than Rosy Brown?", "hint": "", "options": {"A": "yes", "B": "no"}, "choices": ["A", "B"]}]
B
mcq
statistics
elementary school
multiple choice
50
[{"role": "user", "question": "Which function grows faster?", "hint": "", "options": {"A": "Orange", "B": "Blue"}, "choices": ["A", "B"]}]
A
mcq
analytic geometry
high school
multiple choice
500
[{"role": "user", "question": "Which operation is omitted in the equation as shown in the image?", "hint": "", "options": {"A": "+", "B": "-", "C": "*", "D": "/"}, "choices": ["A", "B", "C", "D"]}]
D
mcq
algebra
elementary school
multiple choice
501
[{"role": "user", "question": "Which operation is omitted in the equation as shown in the image?", "hint": "", "options": {"A": "+", "B": "-", "C": "*", "D": "/"}, "choices": ["A", "B", "C", "D"]}]
C
mcq
algebra
elementary school
multiple choice
51
[{"role": "user", "question": "How many black squares need to be coloured in white, so that there are exactly fourth as many black squares as there are white squares? ", "hint": "", "options": {}, "choices": []}]
4
numeric
arithmetic
elementary school
float
52
[{"role": "user", "question": "Is this function uniform continuous on the interval [-3, 3]?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
B
mcq
analytic geometry
undergraduate
multiple choice
53
[{"role": "user", "question": "What is the area of blue ring?", "hint": "", "options": {}, "choices": []}]
75.3982
numeric
plane geometry
high school
float
54
[{"role": "user", "question": "Is this function symmetric about the y-axis?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
B
mcq
analytic geometry
high school
multiple choice
55
[{"role": "user", "question": "Given the diagram, a circle with its center at the origin O intersects the x-axis at points A and B and intersects the positive half of the y-axis at point C. D is a point on the circle O located in the first quadrant. If ∠DAB=15, then what is the measure of ∠OCD?", "hint": "", "options":...
60
numeric
plane geometry
high school
float
56
[{"role": "user", "question": "Do the two functions intersect?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
A
mcq
analytic geometry
high school
multiple choice
57
[{"role": "user", "question": "What is the area of the part enclosed by four rectangles?", "hint": "", "options": {}, "choices": []}]
25
numeric
plane geometry
high school
float
58
[{"role": "user", "question": "What is the asymptote of the function shown in image?", "hint": "", "options": {}, "choices": []}]
y = -3
open
analytic geometry
high school
text
59
[{"role": "user", "question": "According to image, a card is randomly selected from a standard 52-card deck. Find the probability that the next card selected after selecting this card from the deck is a heart.", "hint": "", "options": {}, "choices": []}]
0.2549
numeric
arithmetic
high school
float
6
[{"role": "user", "question": "Is this a periodic function?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
A
mcq
analytic geometry
high school
multiple choice
60
[{"role": "user", "question": "Find the surface area of the rectangular prism.", "hint": "", "options": {}, "choices": []}]
208
numeric
solid geometry
high school
float
61
[{"role": "user", "question": "Where is the local min or max of the parabola shown in image at?", "hint": "", "options": {}, "choices": []}]
0.5
numeric
analytic geometry
high school
float
62
[{"role": "user", "question": "If AD = 3, AB = 1, DC = 5, what is the area of trapezoid ABCD?", "hint": "", "options": {}, "choices": []}]
9.0
numeric
plane geometry
elementary school
float
63
[{"role": "user", "question": "The function f(x) is quadratic function. What is the value of f(x) when x = 3?", "hint": "", "options": {}, "choices": []}]
-37
numeric
algebra
high school
float
64
[{"role": "user", "question": "What is the area enclosed by parabola and x-axis?", "hint": "", "options": {}, "choices": []}]
121.5
numeric
analytic geometry
undergraduate
float
65
[{"role": "user", "question": "If the area of the rectangle above is 72, what is the value of x?", "hint": "", "options": {}, "choices": []}]
11
numeric
plane geometry
high school
float
66
[{"role": "user", "question": "If the perimeter of the rectangle above is 16, what is the value of x?", "hint": "", "options": {}, "choices": []}]
4
numeric
plane geometry
high school
float
67
[{"role": "user", "question": "If the area of the circle is 27pi, what is the area of the square in circle?", "hint": "", "options": {}, "choices": []}]
54
numeric
plane geometry
high school
float
68
[{"role": "user", "question": "What is the green curve?", "hint": "", "options": {"A": "a parabola", "B": "a line", "C": "a logarithmic function", "D": "a trigonometric function"}, "choices": ["A", "B", "C", "D"]}]
C
mcq
analytic geometry
high school
multiple choice
69
[{"role": "user", "question": "Is the function convex or concave?", "hint": "", "options": {"A": "convex", "B": "concave", "C": "both"}, "choices": ["A", "B", "C"]}]
B
mcq
analytic geometry
high school
multiple choice
7
[{"role": "user", "question": "In the addition sum to the right, three digits have been replaced with star. What is the value of star?", "hint": "", "options": {}, "choices": []}]
3
numeric
arithmetic
elementary school
float
70
[{"role": "user", "question": "What is the area of this triangle? Please using Heron's formula to solve this problem", "hint": "", "options": {}, "choices": []}]
46.4758
numeric
plane geometry
high school
float
71
[{"role": "user", "question": "Move the ruler to measure the length of the line to the nearest centimeter. The line is about (_) centimeters long. ", "hint": "", "options": {}, "choices": []}]
7
numeric
arithmetic
elementary school
float
72
[{"role": "user", "question": "According to the markov chain shown in the image, what is the probability of the event 'A to B'?", "hint": "", "options": {}, "choices": []}]
0.3
numeric
statistics
undergraduate
float
73
[{"role": "user", "question": "What is the asymptote of the function shown in image?", "hint": "", "options": {}, "choices": []}]
x = 0
open
analytic geometry
high school
text
74
[{"role": "user", "question": "Find the perimeter of the rectangular prism.", "hint": "", "options": {}, "choices": []}]
112
numeric
solid geometry
high school
float
75
[{"role": "user", "question": "Are the red line and the blue line parallel?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
B
mcq
analytic geometry
high school
multiple choice
76
[{"role": "user", "question": "O is the circumcircle of △ABC, with AB=BC=6. The arc AB is folded down along the chord AB to intersect BC at point D. If point D is the midpoint of BC, What is the length of AC?", "hint": "", "options": {}, "choices": []}]
4.2426
numeric
analytic geometry
high school
float
77
[{"role": "user", "question": "Find the area of shaded sectors.", "hint": "", "options": {}, "choices": []}]
4
numeric
analytic geometry
undergraduate
float
78
[{"role": "user", "question": "Is the function differentiable at x = 0?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
A
mcq
analytic geometry
undergraduate
multiple choice
79
[{"role": "user", "question": "Is the function continuous at x = 0?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
A
mcq
analytic geometry
undergraduate
multiple choice
8
[{"role": "user", "question": "As shown in the figure, AO is the height of the cone, the bottom radius of the cone OB = 25, the length of AB is 31.401, then the length of AO is ()?", "hint": "", "options": {}, "choices": []}]
19.0006
numeric
plane geometry
high school
float
80
[{"role": "user", "question": "The side of the square is 5 ft. Find the length of diagonal AB", "hint": "", "options": {}, "choices": []}]
7.0711
numeric
plane geometry
high school
float
81
[{"role": "user", "question": "As shown in the figure, AB is the diameter of ⊙O, point C is on ⊙O, passing point C to draw the tangent of ⊙O and it intersects the extended line of AB at point D. Connect AC. If ∠D = 53, then what is the degree of ∠A?", "hint": "", "options": {}, "choices": []}]
26.5
numeric
plane geometry
high school
float
82
[{"role": "user", "question": "There is a cycle graph of C6 in the image. Fill the number in the empty slot so that it becomes the integers modulo 6 under addition (Z6). ", "hint": "", "options": {}, "choices": []}]
5
numeric
algebra
undergraduate
float
83
[{"role": "user", "question": "As shown in the figure, points A, O, and B are collinear, and DO is perpendicular to CO. If ∠BOC = 60°, what is the measure of ∠AOD? ", "hint": "", "options": {}, "choices": []}]
30
numeric
plane geometry
high school
float
84
[{"role": "user", "question": "What type of transformation of the left triangle was applied to become the right triangle?", "hint": "", "options": {"A": "flip", "B": "rotation", "C": "enlargement", "D": "reduction"}, "choices": ["A", "B", "C", "D"]}]
A
mcq
plane geometry
high school
multiple choice
85
[{"role": "user", "question": "The image shows a pythagorean tree. If the area of A and B are 59 and 41, what is the area of C?", "hint": "", "options": {}, "choices": []}]
100
numeric
plane geometry
high school
float
86
[{"role": "user", "question": "Is this function continuous at x = 1?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
B
mcq
analytic geometry
undergraduate
multiple choice
87
[{"role": "user", "question": "What is the limit of the function as x approaches 1 from the left side?", "hint": "", "options": {}, "choices": []}]
3
numeric
analytic geometry
undergraduate
float
88
[{"role": "user", "question": "What is the limit of the function as x approaches 1 from the right side?", "hint": "", "options": {}, "choices": []}]
1
numeric
analytic geometry
undergraduate
float
89
[{"role": "user", "question": "Is the function injective?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
B
mcq
algebra
undergraduate
multiple choice
9
[{"role": "user", "question": "Find the perimeter of orange square.", "hint": "", "options": {}, "choices": []}]
24
numeric
plane geometry
elementary school
float
90
[{"role": "user", "question": "Is the function surjective?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
B
mcq
algebra
undergraduate
multiple choice
91
[{"role": "user", "question": "According to image, a card is randomly selected from a standard 52-card deck. Find the probability that the next card selected after selecting this card from the deck is a heart.", "hint": "", "options": {}, "choices": []}]
0.2353
numeric
arithmetic
high school
float
92
[{"role": "user", "question": "Are the red line and the blue line perpendicular to each other?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
B
mcq
analytic geometry
high school
multiple choice
93
[{"role": "user", "question": "Given triangle △ABC with internal angle bisectors OB and OC intersecting at point O, if ∠A = 117°, find the measure of ∠BOC.", "hint": "", "options": {}, "choices": []}]
148.5
numeric
plane geometry
high school
float
94
[{"role": "user", "question": "As shown in the figure, points A, O, and B are collinear, and DE is perpendicular to CO. If ∠BOC = 44°, what is the measure of ∠AOE? ", "hint": "", "options": {}, "choices": []}]
134
numeric
plane geometry
high school
float
95
[{"role": "user", "question": "Two equilateral triangles of different sizes are placed on top of each other so that a hexagon is formed on the inside whose opposite sides are parallel. Four of the side lengths of the hexagon are stated in the diagram. How big is the perimeter of the hexagon? ", "hint": "", "options": {...
36
numeric
plane geometry
high school
float
96
[{"role": "user", "question": "What is the distance between the x-intercept and y-intercept of blue line?", "hint": "", "options": {}, "choices": []}]
4.2426
numeric
analytic geometry
high school
float
97
[{"role": "user", "question": "Find the area of the shaded part.", "hint": "", "options": {}, "choices": []}]
4.5664
numeric
plane geometry
high school
float
98
[{"role": "user", "question": "Is this function a period function?", "hint": "", "options": {"A": "Yes", "B": "No"}, "choices": ["A", "B"]}]
B
mcq
analytic geometry
high school
multiple choice