[User]
Determine the number of intersection points between the functions f(x) = -2cos(3π(-3|x| - 3) - 3) + 3 and g(x) = (2x + 1)/(2x) where -10 ≤ x ≤ 10.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the number of times the graphs of f(x) = 5(-3sin(3πx + 2) + 3)^2 - 2(-3sin(3πx + 2) + 3) - 2 and g(x) = (3x - 1)/(-3x - 2) intersect in the interval [-10, 10].

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many points of intersection exist between the functions f(x) = 2cos(2π((2x + 3)/(1x)) - 1) - 1 and g(x) = (-2x - 2)/(-1x) in the range -10 ≤ x ≤ 10?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of intersection points between the functions f(x) = 3cos(2π(-1x + 2) - 3) - 3 and g(x) = (2x - 2)/(-2x - 1) where -10 ≤ x ≤ 10.

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many points of intersection exist between the functions f(x) = 2cos(2π(-1x + 5) + 1) + 2 and g(x) = 2|x + 2| + 2 in the range -10 ≤ x ≤ 10?

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many solutions does the equation -2(-3cos(1πx - 1) - 2)^2 - 3(-3cos(1πx - 1) - 2) - 4 = -3|x + 2| - 1 have for x in the interval [-10, 10]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many points of intersection exist between the functions f(x) = 1(-3sin(3πx + 3) + 2) - 1 and g(x) = -2|x| + 1 in the range -10 ≤ x ≤ 10?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of intersection points between the functions f(x) = (2(-2x^2 - 5x - 1) + 3)/(-3(-2x^2 - 5x - 1) - 3) and g(x) = 2|x - 2| - 1 where -10 ≤ x ≤ 10.

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many points of intersection exist between the functions f(x) = -2sin(2π(-4x^2 - 1x - 2) - 3) - 1 and g(x) = -1x^2 - 2x - 3 in the range -10 ≤ x ≤ 10?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the number of times the graphs of f(x) = -3|(-1cos(3πx + 1) - 2) - 3| + 3 and g(x) = 4x - 1 intersect in the interval [-10, 10].

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many points of intersection exist between the functions f(x) = 2|(1|x + 1| - 1) - 3| - 2 and g(x) = (1x)/(-2x - 2) in the range -10 ≤ x ≤ 10?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of intersection points between the functions f(x) = -2cos(2π(-1x + 4)) - 1 and g(x) = 1x - 4 where -10 ≤ x ≤ 10.

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many points of intersection exist between the functions f(x) = (1(-3sin(2πx + 3) + 2) - 3)/(-3(-3sin(2πx + 3) + 2) + 2) and g(x) = -1|x + 2| + 1 in the range -10 ≤ x ≤ 10?

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many solutions does the equation 2sin(3π(1x + 1) - 3) + 1 = (-2x - 3)/(1x + 3) have for x in the interval [-10, 10]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many solutions does the equation -3(-2cos(3πx + 1))^2 = -4x - 1 have for x in the interval [-10, 10]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many points of intersection exist between the functions f(x) = 3(2cos(3πx - 2) + 1)^2 - 5(2cos(3πx - 2) + 1) + 5 and g(x) = -5x^2 - 3x + 4 in the range -10 ≤ x ≤ 10?

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many solutions does the equation -2sin(3π(-1x^2 + 1) - 1) - 2 = -2x^2 - 5x - 3 have for x in the interval [-10, 10]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many points of intersection exist between the functions f(x) = -3sin(1π(-5x - 4) - 3) - 1 and g(x) = -1x^2 - 1x - 3 in the range -10 ≤ x ≤ 10?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the number of times the graphs of f(x) = 2cos(2π(-1x^2 - 3x - 3) + 1) + 2 and g(x) = (-2x + 2)/(2x - 1) intersect in the interval [-10, 10].

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many solutions does the equation -3cos(2π(-2|x + 3|)) + 2 = -1x + 5 have for x in the interval [-10, 10]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the number of times the graphs of f(x) = -2|(-2cos(1πx) + 3) - 2| + 3 and g(x) = 1x + 1 intersect in the interval [-10, 10].

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the number of times the graphs of f(x) = (-1(-4x^2 + 4x + 1) + 1)/(-2(-4x^2 + 4x + 1) - 1) and g(x) = -1x^2 - 4x - 1 intersect in the interval [-10, 10].

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of intersection points between the functions f(x) = -1cos(3π(5x^2 - 3x - 1) + 2) + 1 and g(x) = 3x - 1 where -10 ≤ x ≤ 10.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the number of times the graphs of f(x) = 1cos(2π(-3x^2 + 1x - 4) + 2) - 1 and g(x) = 2x + 4 intersect in the interval [-10, 10].

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many solutions does the equation (-1(-2sin(2πx - 3) - 2))/(3(-2sin(2πx - 3) - 2) + 3) = -2x^2 + 2x - 3 have for x in the interval [-10, 10]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of intersection points between the functions f(x) = (2(-3cos(1πx - 1) + 1) - 2)/(2(-3cos(1πx - 1) + 1)) and g(x) = 4x - 4 where -10 ≤ x ≤ 10.

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many points of intersection exist between the functions f(x) = 1cos(1π((-2x - 1)/(3x + 2)) + 3) and g(x) = (1x)/(-2x + 1) in the range -10 ≤ x ≤ 10?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the number of times the graphs of f(x) = (1(3cos(1πx + 1) - 2) - 3)/(-2(3cos(1πx + 1) - 2) - 2) and g(x) = 3|x + 3| - 1 intersect in the interval [-10, 10].

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many solutions does the equation 1cos(3π(-4x^2 + 2x + 2) - 1) - 2 = (-2x - 3)/(3x - 2) have for x in the interval [-10, 10]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many solutions does the equation -1(-1sin(2πx + 3) - 3) + 1 = 1x - 4 have for x in the interval [-10, 10]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of intersection points between the functions f(x) = (3(2sin(2πx - 2) + 1) + 1)/(-2(2sin(2πx - 2) + 1) - 2) and g(x) = -2x^2 - 3x + 4 where -10 ≤ x ≤ 10.

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many points of intersection exist between the functions f(x) = 3(-2cos(2πx) - 2) + 2 and g(x) = -4x + 2 in the range -10 ≤ x ≤ 10?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the number of times the graphs of f(x) = -1|(-3cos(2πx + 2) - 3) + 3| + 2 and g(x) = 2x - 5 intersect in the interval [-10, 10].

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many solutions does the equation -3sin(3π(4x^2 - 3x) - 2) + 1 = -5x^2 - 3x + 4 have for x in the interval [-10, 10]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many solutions does the equation 3sin(2π((-1x)/(-1x + 2)) - 2) + 1 = 2|x + 1| - 1 have for x in the interval [-10, 10]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many solutions does the equation -3|(1sin(1πx + 2) + 1) + 1| + 1 = 1x - 1 have for x in the interval [-10, 10]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the number of times the graphs of f(x) = 1sin(3π(-4x^2 + 1x - 5) + 3) + 2 and g(x) = 4x - 5 intersect in the interval [-10, 10].

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the number of times the graphs of f(x) = -2sin(2π(3x + 3) + 1) + 2 and g(x) = -3|x - 3| + 2 intersect in the interval [-10, 10].

Present the answer in LaTex format: \boxed{Your answer}


[User]
Determine the number of intersection points between the functions f(x) = 3sin(1π((1x - 2)/(2x - 1)) + 3) - 1 and g(x) = -3x - 1 where -10 ≤ x ≤ 10.

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the number of times the graphs of f(x) = 2cos(3π(5x - 5) + 2) - 2 and g(x) = (2x - 3)/(3x - 2) intersect in the interval [-10, 10].

Present the answer in LaTex format: \boxed{Your answer}


[User]
How many solutions does the equation 1(-1cos(3πx - 1) + 1)^2 - 1(-1cos(3πx - 1) + 1) + 2 = 1x + 4 have for x in the interval [-10, 10]?

Present the answer in LaTex format: \boxed{Your answer}


[User]
Find the number of times the graphs of f(x) = 3cos(3π((3x)/(-1x - 3)) + 2) - 2 and g(x) = 5x^2 + 4x - 3 intersect in the interval [-10, 10].

Present the answer in LaTex format: \boxed{Your answer}