Dataset Viewer
Auto-converted to Parquet Duplicate
question
stringlengths
109
170
answer
stringlengths
1
3
type
stringclasses
1 value
difficulty
int64
9
57
Determine the number of intersection points between the functions f(x) = -3sin(3π(-2x - 4) + 1) and g(x) = -5x - 3 where -10 ≤ x ≤ 10.
9
intersection
11
How many solutions does the equation 3sin(2π(-2x^2 + 5x - 1) + 1) = -5x^2 - 5x - 1 have for x in the interval [-10, 10]?
22
intersection
18
Determine the number of intersection points between the functions f(x) = -3cos(2π(-5x + 4) + 2) and g(x) = (-3x - 3)/(2x - 3) where -10 ≤ x ≤ 10.
167
intersection
55
How many solutions does the equation (-2(-3sin(1πx - 3) - 1) - 1)/(2(-3sin(1πx - 3) - 1) + 2) = -1x - 2 have for x in the interval [-10, 10]?
21
intersection
18
How many solutions does the equation (1(2cos(1πx + 3) - 2) - 2)/(-2(2cos(1πx + 3) - 2) - 1) = -2x^2 + 1x - 1 have for x in the interval [-10, 10]?
18
intersection
18
Find the number of times the graphs of f(x) = 1|(1x^2 - 4x - 1) - 2| - 2 and g(x) = 3|x - 2| - 2 intersect in the interval [-10, 10].
4
intersection
10
Determine the number of intersection points between the functions f(x) = 2cos(3π(5x + 2)) + 1 and g(x) = 1x^2 - 5x + 4 where -10 ≤ x ≤ 10.
34
intersection
21
Find the number of times the graphs of f(x) = -1|(3sin(3πx - 3) - 1) + 1| + 1 and g(x) = 3x - 2 intersect in the interval [-10, 10].
7
intersection
12
How many solutions does the equation -3sin(1π(4x - 5) - 1) + 2 = 1x - 4 have for x in the interval [-10, 10]?
23
intersection
16
How many solutions does the equation 3sin(3π(-1x + 3) + 1) - 1 = -2|x + 3| + 2 have for x in the interval [-10, 10]?
18
intersection
16
How many points of intersection exist between the functions f(x) = (3(1cos(2πx - 3)) - 2)/(-3(1cos(2πx - 3)) + 1) and g(x) = (3x - 3)/(3x + 2) in the range -10 ≤ x ≤ 10?
41
intersection
28
How many solutions does the equation 2cos(1π(3|x + 3| + 2) + 3) - 1 = (2x + 3)/(-2x + 3) have for x in the interval [-10, 10]?
51
intersection
30
Determine the number of intersection points between the functions f(x) = 2cos(3π(2|x - 1| - 2) - 1) + 3 and g(x) = 1x + 1 where -10 ≤ x ≤ 10.
23
intersection
18
How many solutions does the equation (1(1x^2 - 3x - 4) + 3)/(1(1x^2 - 3x - 4) - 3) = 2|x + 3| + 1 have for x in the interval [-10, 10]?
4
intersection
11
Determine the number of intersection points between the functions f(x) = -2cos(3π((2x + 3)/(1x - 2))) and g(x) = 2x^2 + 5x where -10 ≤ x ≤ 10.
4
intersection
12
Determine the number of intersection points between the functions f(x) = 1(1cos(2πx + 2))^2 + 5 and g(x) = -1x - 3 where -10 ≤ x ≤ 10.
5
intersection
10
How many solutions does the equation 3cos(1π((3x - 1)/(-1x - 3)) + 1) + 2 = 4x^2 + 3x - 4 have for x in the interval [-10, 10]?
4
intersection
12
How many points of intersection exist between the functions f(x) = -3sin(1π(-4x - 1) + 3) - 1 and g(x) = (-1x + 3)/(2x - 1) in the range -10 ≤ x ≤ 10?
76
intersection
34
How many solutions does the equation (-3(2cos(3πx)) - 2)/(-1(2cos(3πx)) - 1) = -2x^2 - 4x + 4 have for x in the interval [-10, 10]?
29
intersection
22
How many solutions does the equation 3cos(3π(-1x^2 + 3x - 5) - 2) + 3 = 3x^2 - 3x - 5 have for x in the interval [-10, 10]?
10
intersection
13
Find the number of times the graphs of f(x) = 4(-1sin(3πx) - 2) - 3 and g(x) = -2|x - 3| + 2 intersect in the interval [-10, 10].
20
intersection
17
How many points of intersection exist between the functions f(x) = -2sin(3π(2|x - 2| + 1) + 3) + 1 and g(x) = -3|x - 3| + 2 in the range -10 ≤ x ≤ 10?
12
intersection
16
Determine the number of intersection points between the functions f(x) = -3cos(2π(-5x^2 - 2x - 5)) - 2 and g(x) = 5x + 2 where -10 ≤ x ≤ 10.
13
intersection
13
Find the number of times the graphs of f(x) = (2(2sin(1πx)) - 2)/(1(2sin(1πx))) and g(x) = -2|x + 3| - 3 intersect in the interval [-10, 10].
20
intersection
20
How many points of intersection exist between the functions f(x) = -3|(-2cos(3πx + 2) - 1) + 3| + 3 and g(x) = (1x + 2)/(-1x + 2) in the range -10 ≤ x ≤ 10?
55
intersection
31
Determine the number of intersection points between the functions f(x) = -3(1cos(2πx) + 3)^2 + 5(1cos(2πx) + 3) + 3 and g(x) = -1x^2 + 1x - 2 where -10 ≤ x ≤ 10.
20
intersection
17
How many solutions does the equation 3sin(3π((3x - 1)/(-3x)) + 1) = 1|x + 1| - 3 have for x in the interval [-10, 10]?
32
intersection
24
Find the number of times the graphs of f(x) = 5(-2cos(2πx + 3)) - 1 and g(x) = 1|x - 3| - 3 intersect in the interval [-10, 10].
39
intersection
23
How many solutions does the equation -1cos(3π(1x^2 - 3x + 5) + 2) + 1 = 5x^2 - 4x - 3 have for x in the interval [-10, 10]?
4
intersection
10
How many points of intersection exist between the functions f(x) = 2cos(1π(5x - 1) + 2) + 1 and g(x) = (1x + 1)/(-1x) in the range -10 ≤ x ≤ 10?
49
intersection
27
Determine the number of intersection points between the functions f(x) = -1cos(3π(-3x - 2) - 1) - 1 and g(x) = (-1x)/(3x - 1) where -10 ≤ x ≤ 10.
177
intersection
57
How many points of intersection exist between the functions f(x) = -3(2sin(2πx + 1) + 3)^2 + 1(2sin(2πx + 1) + 3) and g(x) = 3x + 1 in the range -10 ≤ x ≤ 10?
18
intersection
15
How many points of intersection exist between the functions f(x) = -1((3x + 1)/(2x + 1))^2 - 5((3x + 1)/(2x + 1)) - 2 and g(x) = -2x^2 - 1x + 1 in the range -10 ≤ x ≤ 10?
4
intersection
10
Determine the number of intersection points between the functions f(x) = (-3(2cos(2πx + 3) + 1) - 2)/(-2(2cos(2πx + 3) + 1) - 1) and g(x) = -1x^2 + 4x where -10 ≤ x ≤ 10.
22
intersection
20
Determine the number of intersection points between the functions f(x) = 4(3sin(2πx - 3)) - 1 and g(x) = 1|x - 3| + 2 where -10 ≤ x ≤ 10.
32
intersection
21
Find the number of times the graphs of f(x) = 3sin(3π((-2x - 2)/(3x)) - 3) + 1 and g(x) = -4x^2 - 4x + 5 intersect in the interval [-10, 10].
8
intersection
14
Find the number of times the graphs of f(x) = 2cos(3π(-1x + 4) + 2) + 3 and g(x) = -2x^2 - 3x + 4 intersect in the interval [-10, 10].
10
intersection
12
How many points of intersection exist between the functions f(x) = 1(-3cos(1πx - 2) - 3)^2 + 2(-3cos(1πx - 2) - 3) - 4 and g(x) = 3|x - 1| in the range -10 ≤ x ≤ 10?
14
intersection
16
How many points of intersection exist between the functions f(x) = 1cos(3π(4x^2 + 4x - 2) - 3) and g(x) = -2x^2 + 4x in the range -10 ≤ x ≤ 10?
35
intersection
22
Find the number of times the graphs of f(x) = 3(-2cos(2πx - 2)) - 2 and g(x) = -1|x + 3| - 2 intersect in the interval [-10, 10].
24
intersection
18
Find the number of times the graphs of f(x) = 4(3cos(3πx + 2) - 1) - 5 and g(x) = -4x - 1 intersect in the interval [-10, 10].
19
intersection
15
How many points of intersection exist between the functions f(x) = 1(-2cos(2πx - 1) - 3) + 1 and g(x) = -2x^2 - 2x + 1 in the range -10 ≤ x ≤ 10?
4
intersection
9
How many solutions does the equation -1sin(2π(-3|x + 1|) + 1) - 1 = (-3x + 3)/(-2x - 2) have for x in the interval [-10, 10]?
7
intersection
15
Find the number of times the graphs of f(x) = 3cos(3π(1x + 4)) - 1 and g(x) = -3|x + 2| + 3 intersect in the interval [-10, 10].
14
intersection
15
Find the number of times the graphs of f(x) = 1sin(2π(-1x + 5) - 1) - 1 and g(x) = (3x + 3)/(-2x) intersect in the interval [-10, 10].
33
intersection
22
Determine the number of intersection points between the functions f(x) = -1sin(1π(2x^2 - 3x + 2) - 3) + 3 and g(x) = 4x^2 + 2x where -10 ≤ x ≤ 10.
4
intersection
10
How many points of intersection exist between the functions f(x) = 3(2sin(2πx - 2) + 2)^2 - 2(2sin(2πx - 2) + 2) + 5 and g(x) = 4x - 1 in the range -10 ≤ x ≤ 10?
17
intersection
15
Determine the number of intersection points between the functions f(x) = -1|(-1sin(2πx + 1) + 3) - 3| - 2 and g(x) = -2|x + 2| + 1 where -10 ≤ x ≤ 10.
4
intersection
12
Find the number of times the graphs of f(x) = 1(3sin(2πx - 2) + 2) - 1 and g(x) = (2x - 3)/(-1x) intersect in the interval [-10, 10].
20
intersection
18
How many solutions does the equation -2sin(1π(2|x| + 2) - 1) - 3 = (-2x - 3)/(1x + 3) have for x in the interval [-10, 10]?
31
intersection
24
README.md exists but content is empty.
Downloads last month
18