[User]
How many local extrema (minima and maxima combined) does the function f(x) = -3|((-3(-2sin(1πx - 2) + 2) + 2)/(2(-2sin(1πx - 2) + 2) + 1)) - 1| have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -2sin(2π(2|(3x^2 - 2x + 5) - 1|) + 1) - 1 have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = -3|(-4(-3x^2 - 2x)^2 - 4(-3x^2 - 2x) + 1) + 1| + 3 in the interval [-10, 10].

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


[User]
Find the number of local maximum points for f(x) = 1sin(3π(-4(1x - 1) - 2) - 1) - 2 where -10 ≤ x ≤ 10.

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


[User]
Find the total number of local minima and maxima for f(x) = -2sin(3π(-4(-4x + 2)^2 + 3(-4x + 2) - 3)) + 1 where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = -2sin(1π(3(-5x + 4)^2 - 2(-5x + 4) + 4) - 3) + 2 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = -1sin(3π(-1(-4x^2 + 3x - 2) + 5) - 2) + 2 in the interval [-10, 10].

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


[User]
Find the number of local maximum points for f(x) = -2(2e^(-1(-5x + 1)) - 2) - 2 where -10 ≤ x ≤ 10.

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 1cos(1π(-2|(-1|x - 3| - 3) + 3| + 2) - 3) + 3 have in the interval [-10, 10]?

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


[User]
Determine the total count of local extrema points for the function f(x) = 1sin(1π(1(5x - 2) - 4) + 1) + 1 in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = -1|(-1|(-1cos(1πx + 2) + 2) + 2| - 1) - 2| + 2 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local maxima for the function f(x) = 2|(2cos(2π(2x + 3) + 1) + 3) - 1| - 3 in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = -3(1sin(3π(3x^2 - 5x) - 2)) - 5 where -10 ≤ x ≤ 10.

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 1cos(3π(3(2|x + 3| - 1) + 1) - 2) - 2 have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = -3cos(3π(1(-2x^2 - 2x + 2)^2 - 2(-2x^2 - 2x + 2) - 2) - 2) where -10 ≤ x ≤ 10.

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


[User]
Find the number of local maximum points for f(x) = -1|((-3(2cos(3πx - 1) - 3) - 1)/(-2(2cos(3πx - 1) - 3) + 1)) + 3| - 3 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local minima for the function f(x) = 2|(-1cos(3π(5x^2 + 4) + 3) - 3) + 1| + 1 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = 1(2cos(3π(2x + 1) - 2) + 2) + 2 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = 2(1sin(3π(2x + 5) + 1) - 1) + 4 in the interval [-10, 10].

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


[User]
Determine the count of local minima for the function f(x) = -3(-1cos(2π((2x - 1)/(-2x - 1)) + 1) - 3)^2 - 3(-1cos(2π((2x - 1)/(-2x - 1)) + 1) - 3) - 2 in the interval [-10, 10].

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


[User]
Determine the count of local maxima for the function f(x) = 3|(5(-3cos(2πx - 1) + 2)^2 + 1(-3cos(2πx - 1) + 2) - 3)| - 2 in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = -1(-2cos(2π(-4x^2 + 5x + 1) - 2) - 3)^2 + 1(-2cos(2π(-4x^2 + 5x + 1) - 2) - 3) where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = 3|((1(3cos(2πx - 2) + 1) + 2)/(2(3cos(2πx - 2) + 1) - 3)) - 3| - 2 have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = 2(2cos(2π((3x)/(1x + 1)) - 1) - 3)^2 - 3 have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = (-3((3(2sin(1πx + 2) + 3))/(-3(2sin(1πx + 2) + 3) + 4)) + 1)/(-1((3(2sin(1πx + 2) + 3))/(-3(2sin(1πx + 2) + 3) + 4))) where -10 ≤ x ≤ 10.

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


[User]
Find the number of local maximum points for f(x) = 3sin(3π(1((-3x - 2)/(-3x + 1))^2 + 4((-3x - 2)/(-3x + 1)) + 4) - 2) + 3 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local maxima for the function f(x) = -3|(-2cos(3π(-3x - 2) - 3) - 2)| in the interval [-10, 10].

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


[User]
Determine the count of local maxima for the function f(x) = -3cos(1π(-3((2x - 2)/(-1x + 3)) - 4) + 3) - 1 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = (1(-2(-3cos(1πx + 2) + 1)^2 - 3(-3cos(1πx + 2) + 1) - 1) - 3)/(1(-2(-3cos(1πx + 2) + 1)^2 - 3(-3cos(1πx + 2) + 1) - 1)) have in the interval [-10, 10]?

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


[User]
Find the number of local maximum points for f(x) = 4(-5(-1sin(3πx - 1) + 3)^2 - 1(-1sin(3πx - 1) + 3) - 1) + 4 where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = (-1(1|(-1cos(2πx + 1) + 3)|) + 3)/(-2(1|(-1cos(2πx + 1) + 3)|) + 3) in the interval [-10, 10].

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


[User]
Find the number of local maximum points for f(x) = -1cos(2π((3(-3|x + 3| - 1) - 3)/(-1(-3|x + 3| - 1) - 1)) - 2) - 2 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = -1sin(1π(4(4x + 1)^2 + 5(4x + 1) - 2)) + 2 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local maximum points for f(x) = 1|(2(1|x + 2|)^2 - 4(1|x + 2|) - 2) - 1| - 1 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local maximum points for f(x) = -1|(-3cos(2π(4x^2 - 3) - 1) + 2) + 2| - 2 where -10 ≤ x ≤ 10.

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


[User]
Find the total number of local minima and maxima for f(x) = -3(1(2cos(3πx + 2) + 1) + 4)^2 + 1(1(2cos(3πx + 2) + 1) + 4) + 5 where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = 3(-2sin(1π(-3x + 4) + 3) + 3) - 2 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = -3(1|(-4x^2 - 4x) + 2| - 3)^2 - 1(1|(-4x^2 - 4x) + 2| - 3) + 4 in the interval [-10, 10].

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


[User]
Find the number of local maximum points for f(x) = 1(2cos(1π((1x + 3)/(2x)) - 1))^2 - 3 where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = 1sin(3π(-3((-2x + 2)/(2x - 1))^2 + 3((-2x + 2)/(2x - 1)) - 5) + 1) - 1 have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = 3(-5(-3sin(1πx + 2) + 2) - 4) - 2 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local minima for the function f(x) = (-1(-2cos(1π(-3|x + 2| - 1) + 3) - 1) - 1)/(-3(-2cos(1π(-3|x + 2| - 1) + 3) - 1) - 3) in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -1|(-1|(3cos(2πx + 1) - 3) - 1| - 3)| have in the interval [-10, 10]?

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


[User]
How many local maxima does the function f(x) = (-3(1cos(1π(-1|x - 1|) - 3)) + 3)/(3(1cos(1π(-1|x - 1|) - 3)) - 1) have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = -2sin(2π(3(2x + 3) + 4) - 1) - 1 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local minima for the function f(x) = -1((-3(1sin(1πx + 3)) - 2)/(3(1sin(1πx + 3))))^2 + 1((-3(1sin(1πx + 3)) - 2)/(3(1sin(1πx + 3)))) - 5 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -3cos(2π(3(3x + 4) + 1) - 2) - 1 have in the interval [-10, 10]?

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


[User]
How many local maxima does the function f(x) = 5(1|(-3cos(1πx + 3)) - 1| - 3) + 3 have in the interval [-10, 10]?

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


[User]
Find the number of local maximum points for f(x) = 5(1cos(2π(1|x + 1| - 2) - 2) + 2) - 4 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = -1|(2e^(1(1x^2 + 2x - 5)) - 1) - 2| - 3 have in the interval [-10, 10]?

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


[User]
Find the number of local maximum points for f(x) = -1(-3(-4x^2 + 1x + 4)^2 + 3(-4x^2 + 1x + 4) - 1)^2 - 4(-3(-4x^2 + 1x + 4)^2 + 3(-4x^2 + 1x + 4) - 1) where -10 ≤ x ≤ 10.

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


[User]
Find the number of local maximum points for f(x) = -5(-2cos(1π(-3|x + 2| + 3) + 3))^2 + 3 where -10 ≤ x ≤ 10.

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


[User]
Find the total number of local minima and maxima for f(x) = (1(-1sin(1π(2|x - 2| + 1) + 3) + 3) + 2)/(1(-1sin(1π(2|x - 2| + 1) + 3) + 3) - 2) where -10 ≤ x ≤ 10.

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


[User]
Find the total number of local minima and maxima for f(x) = 1|(-1sin(3π(-1x^2 - 3x - 3) - 2) - 1) + 1| + 3 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local maximum points for f(x) = -3cos(1π(-2(-4x^2 - 1x + 2) - 3) - 1) where -10 ≤ x ≤ 10.

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


[User]
Find the total number of local minima and maxima for f(x) = -1(2(-2sin(1πx) + 1) + 2)^2 + 2(2(-2sin(1πx) + 1) + 2) - 5 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local minima for the function f(x) = (-2(3sin(2π(-1x) - 1) - 3) + 1)/(1(3sin(2π(-1x) - 1) - 3) - 2) in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = -2sin(3π(3(-1|x - 3| - 1)^2 - 3) + 1) have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = -2sin(2π(-1|(2x + 3) - 1| + 1) + 1) - 1 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local maxima for the function f(x) = 2(2|(3cos(3πx + 3) + 2) + 3| + 1)^2 - 1(2|(3cos(3πx + 3) + 2) + 3| + 1) + 5 in the interval [-10, 10].

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


[User]
Determine the count of local maxima for the function f(x) = (-1(1cos(3π(2x) + 3) + 2) - 1)/(-3(1cos(3π(2x) + 3) + 2) + 1) in the interval [-10, 10].

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


[User]
Determine the count of local minima for the function f(x) = -5(1sin(1π(-2x^2 - 5x + 5) + 2) - 2)^2 - 4(1sin(1π(-2x^2 - 5x + 5) + 2) - 2) + 1 in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = 4(3|(3sin(2πx + 1) + 2) + 2| - 2) + 5 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local maxima for the function f(x) = (1(1sin(3π(3x + 2) - 1) - 3) - 3)/(-3(1sin(3π(3x + 2) - 1) - 3) + 4) in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = 2cos(1π(5(-2|x - 1|) - 1)) - 1 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = -5(1sin(1π(1x^2 + 2x - 2) + 3) + 3)^2 - 3(1sin(1π(1x^2 + 2x - 2) + 3) + 3) + 3 have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = 2|(-4(2sin(3πx + 1) - 3)^2 - 2(2sin(3πx + 1) - 3) + 4) - 2| + 1 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local maxima for the function f(x) = 4(1sin(2π(-5x - 2) - 1) - 3) + 5 in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = -1|(-1(3cos(2πx - 3) + 2) + 2) + 1| + 1 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = (-1(-1cos(1π(1x) - 3) - 3))/(-1(-1cos(1π(1x) - 3) - 3) + 3) have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = -3sin(3π(-4(2|x + 3| - 3)^2 + 3) + 1) + 3 where -10 ≤ x ≤ 10.

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -3(-2|(3cos(1πx + 2) + 1) - 1| + 1)^2 + 5(-2|(3cos(1πx + 2) + 1) - 1| + 1) + 1 have in the interval [-10, 10]?

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


[User]
How many local maxima does the function f(x) = (-2(-3e^(1(2|x - 3| + 1)) + 2))/(3(-3e^(1(2|x - 3| + 1)) + 2) - 1) have in the interval [-10, 10]?

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


[User]
Determine the total count of local extrema points for the function f(x) = 5(-4(-1|x + 3| + 3)^2 - 5(-1|x + 3| + 3))^2 - 4(-4(-1|x + 3| + 3)^2 - 5(-1|x + 3| + 3)) + 5 in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = 1(1cos(3π((-2x - 1)/(2x + 3))) + 1)^2 + 4(1cos(3π((-2x - 1)/(2x + 3))) + 1) - 4 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local maxima for the function f(x) = (-2(-1cos(3π(3x + 1))))/(2(-1cos(3π(3x + 1))) + 1) in the interval [-10, 10].

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


[User]
Determine the count of local minima for the function f(x) = (3((3(2x - 4) + 3)/(-2(2x - 4) - 2)) + 2)/(1((3(2x - 4) + 3)/(-2(2x - 4) - 2)) + 2) in the interval [-10, 10].

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


[User]
Determine the count of local minima for the function f(x) = -3(3(-1cos(3πx - 1) + 3)^2 + 5(-1cos(3πx - 1) + 3) - 4)^2 + 1(3(-1cos(3πx - 1) + 3)^2 + 5(-1cos(3πx - 1) + 3) - 4) - 5 in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = 3|(5(-4x^2 + 2x + 5)^2 - 4) - 1| where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = -3sin(2π(2(-5x^2 - 4x - 3) + 2) - 2) + 2 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = -4(1(2sin(3πx + 3) - 2)^2 + 5(2sin(3πx + 3) - 2) - 4)^2 - 5(1(2sin(3πx + 3) - 2)^2 + 5(2sin(3πx + 3) - 2) - 4) - 2 have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -1|(-1sin(2π(-4x - 4) - 1) - 2) - 2| + 2 have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = (-3(-2(2e^(-2x) + 3)^2 + 2(2e^(-2x) + 3) + 1) - 2)/(-2(-2(2e^(-2x) + 3)^2 + 2(2e^(-2x) + 3) + 1) + 1) where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = (2(3sin(2π(-5x - 5) + 1) - 1) + 2)/(1(3sin(2π(-5x - 5) + 1) - 1) + 3) where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = 2(-4(2cos(1πx - 3) - 2)^2 + 1(2cos(1πx - 3) - 2) - 4) + 4 have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = 3cos(2π(-5(2|x + 3| + 3)) - 1) + 1 where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = -3(-3(-3cos(2πx + 3) + 1)) - 1 in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = 1(-2sin(1π(-5x - 5)) - 1)^2 - 3(-2sin(1π(-5x - 5)) - 1) - 3 in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = -1sin(1π((1(1x - 4) + 3)/(3(1x - 4) - 1)) + 1) where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local maxima for the function f(x) = 3|(-1|(2cos(3πx - 2)) - 1|) - 3| - 2 in the interval [-10, 10].

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


[User]
Find the number of local maximum points for f(x) = -3sin(2π((-1(-3|x + 2| + 1) + 2)/(3(-3|x + 2| + 1) + 2)) - 3) + 3 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = 2|(3cos(2π(-2x^2 - 1x - 1) + 3)) - 3| + 2 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local minima for the function f(x) = -3(-2sin(3π(-4x^2 - 2x) - 1) - 1)^2 - 5(-2sin(3π(-4x^2 - 2x) - 1) - 1) + 1 in the interval [-10, 10].

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


[User]
Determine the count of local maxima for the function f(x) = 3|(-3sin(1π(-3x^2 - 4x - 5) - 2) - 2)| - 1 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 2cos(2π((2(-2|x + 2| + 1))/(-3(-2|x + 2| + 1))) - 2) - 1 have in the interval [-10, 10]?

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


[User]
How many local maxima does the function f(x) = -3(-1|(2cos(2πx + 1) + 1)| - 1)^2 - 5(-1|(2cos(2πx + 1) + 1)| - 1) have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = -3cos(1π(-2(3x^2 + 4) - 3) + 2) - 2 in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = (3(4(-1sin(1πx - 2) - 2)) + 2)/(2(4(-1sin(1πx - 2) - 2)) - 1) have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = (-2(-3sin(2π(-4x^2 + 3x) + 2) + 2) - 1)/(-1(-3sin(2π(-4x^2 + 3x) + 2) + 2) - 1) have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 3|(2|(-2cos(1πx + 2) - 3) - 1|) - 3| + 1 have in the interval [-10, 10]?

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


[User]
Find the number of local maximum points for f(x) = 2|(2cos(3π(-5x - 5)) - 2)| - 1 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = 1(3cos(1π(-2|x| - 3) - 1) - 3)^2 - 4(3cos(1π(-2|x| - 3) - 1) - 3) - 4 have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 2cos(2π((2(1x + 3) + 2)/(1(1x + 3))) - 1) - 2 have in the interval [-10, 10]?

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


[User]
How many local maxima does the function f(x) = 2cos(2π(-3|((-2x + 3)/(-2x - 2))| - 3) - 2) + 3 have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 2sin(2π(3|(2|x| + 3) + 1| - 1) + 1) + 2 have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -3(3(-2|x - 3| + 3)^2 + 4(-2|x - 3| + 3) - 5)^2 - 2(3(-2|x - 3| + 3)^2 + 4(-2|x - 3| + 3) - 5) - 2 have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = -2cos(3π(3|((2x - 2)/(-1x - 1))| + 1) - 3) - 2 where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = -3((3(1cos(1πx + 3) + 3) + 2)/(-3(1cos(1πx + 3) + 3))) + 5 in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = 1|(-2(-2|x + 2| + 1)^2 - 5(-2|x + 2| + 1) + 4) - 2| - 2 have in the interval [-10, 10]?

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


[User]
Find the number of local maximum points for f(x) = -3cos(1π((-2((2x + 3)/(1x + 3)) + 2)/(-1((2x + 3)/(1x + 3)) + 2)) - 1) - 2 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local maximum points for f(x) = -2cos(1π((-3((3x + 2)/(1x)) + 3)/(3((3x + 2)/(1x)) - 2)) - 1) where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = (-3(-2cos(2π((3x - 3)/(1x + 2)) + 2) - 3))/(-1(-2cos(2π((3x - 3)/(1x + 2)) + 2) - 3) - 2) in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = 2cos(1π(1(4x^2 + 1x + 5)^2 + 1(4x^2 + 1x + 5) + 1) - 3) + 1 in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = 2|(1sin(1π(-2x^2 - 5x + 4) - 3) - 1) - 2| + 3 where -10 ≤ x ≤ 10.

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = (2(-3cos(3π(1x^2 - 1x - 3)) - 2))/(-1(-3cos(3π(1x^2 - 1x - 3)) - 2) - 2) have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = 5(-4(-2sin(1πx + 3) + 1)^2 - 4(-2sin(1πx + 3) + 1) - 1) - 2 where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = -1sin(2π(-3(-3x^2 + 5x + 5)) + 1) - 1 have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = -2|(2sin(3π(3|x + 2| - 3) + 2)) - 1| in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = -2(2cos(2π(1|x + 2| + 1)) + 3) - 4 where -10 ≤ x ≤ 10.

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


[User]
Find the total number of local minima and maxima for f(x) = -2cos(3π(-1|(3x^2 + 1x + 4) - 2| + 1) + 3) - 2 where -10 ≤ x ≤ 10.

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -2|(-3|(1x^2 - 5x + 3) + 3|) + 3| + 2 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = (3(-2e^(2(5x^2 + 3x + 1)) + 3) + 3)/(2(-2e^(2(5x^2 + 3x + 1)) + 3) - 1) in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = (-2(-5(3cos(3πx - 1) + 1)^2 - 5(3cos(3πx - 1) + 1) - 1) + 1)/(3(-5(3cos(3πx - 1) + 1)^2 - 5(3cos(3πx - 1) + 1) - 1) + 3) have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = -3((-1(-2cos(1πx + 1) + 3) - 3)/(-1(-2cos(1πx + 1) + 3))) - 5 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local maxima for the function f(x) = 1(5(-3cos(2πx - 2) - 2)^2) - 2 in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = 5(-1cos(2π(4x - 2))) + 1 where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = 3|(2cos(3π(3x - 5) + 1) - 3) - 2| + 1 in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = 2(1cos(1π((-1x + 3)/(2x - 1)) - 1) + 3)^2 + 1(1cos(1π((-1x + 3)/(2x - 1)) - 1) + 3) + 1 have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = 2sin(3π(-2|(4x + 4) + 1| - 2) + 2) - 1 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local maximum points for f(x) = 3sin(3π(-4(4x^2 - 1x - 2)^2 - 3(4x^2 - 1x - 2) + 5) + 3) - 3 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = (1(1cos(3π((-2x - 1)/(2x - 1)) - 1) + 2) - 2)/(1(1cos(3π((-2x - 1)/(2x - 1)) - 1) + 2) + 1) where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local minima for the function f(x) = 4(1cos(3π((2x - 3)/(-3x + 4)) - 3) + 3) + 4 in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = -2((3(1sin(3πx) + 2) - 2)/(-1(1sin(3πx) + 2)))^2 + 4((3(1sin(3πx) + 2) - 2)/(-1(1sin(3πx) + 2))) - 1 where -10 ≤ x ≤ 10.

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = (3(3cos(3π(2|x + 2| + 3) + 2) - 2) + 1)/(-2(3cos(3π(2|x + 2| + 3) + 2) - 2)) have in the interval [-10, 10]?

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


[User]
How many local maxima does the function f(x) = (-1(2(-1e^(-2x) - 2)^2 - 2(-1e^(-2x) - 2) - 4) - 1)/(-2(2(-1e^(-2x) - 2)^2 - 2(-1e^(-2x) - 2) - 4) - 3) have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = -4(-1|(-2sin(1πx - 2) - 2) - 1| + 2) + 5 where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = 4(-1sin(1π((1x - 2)/(-3x - 2)) + 1))^2 + 4(-1sin(1π((1x - 2)/(-3x - 2)) + 1)) + 5 in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = 4(3cos(2π((-3x - 2)/(1x)) + 3) + 1)^2 + 5(3cos(2π((-3x - 2)/(1x)) + 3) + 1) - 5 where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = -2sin(2π(-4(4x + 1)^2 - 4(4x + 1) - 1) - 3) + 1 in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = 2cos(2π(1((-2x - 3)/(-1x + 3)))) + 1 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = (1(3cos(2π(2|x - 2| - 2)) - 1) + 1)/(-3(3cos(2π(2|x - 2| - 2)) - 1) + 2) have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = 3sin(3π(2(5x + 5)^2 + 4(5x + 5) - 5) - 3) + 3 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local maximum points for f(x) = 1|(1sin(1π(-3|x - 3|) - 3) - 1) + 2| - 3 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = -2cos(1π(-2|(-3|x + 1| + 3) - 1|) + 3) - 1 have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = -1cos(1π(2(-5x + 4)^2 + 4(-5x + 4) - 3) - 2) - 2 have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -3(5(-3|x + 3| + 1)^2 - 4(-3|x + 3| + 1) - 5)^2 - 3(5(-3|x + 3| + 1)^2 - 4(-3|x + 3| + 1) - 5) - 5 have in the interval [-10, 10]?

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


[User]
Determine the total count of local extrema points for the function f(x) = 3sin(2π(1|((3x - 3)/(-2x - 1)) - 2|) + 3) + 2 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 5(3e^(1(-2x^2 - 4x - 1)) - 1) + 4 have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = -1(-1sin(3π(-1x - 5) + 3) - 3)^2 + 2(-1sin(3π(-1x - 5) + 3) - 3) + 2 where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = 1|((-1(1|x - 2| - 3))/(3(1|x - 2| - 3) + 1)) + 3| - 2 in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = (1(1(2sin(1πx - 3) + 2)^2 + 3(2sin(1πx - 3) + 2) + 5) + 3)/(2(1(2sin(1πx - 3) + 2)^2 + 3(2sin(1πx - 3) + 2) + 5) + 2) where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = 3cos(2π(-3(-2|x + 1| + 3) - 5)) where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local minima for the function f(x) = 2sin(2π((-1((2x + 2)/(-1x + 3)))/(-2((2x + 2)/(-1x + 3)) + 1)) + 2) - 1 in the interval [-10, 10].

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


[User]
Find the number of local maximum points for f(x) = 3((1(1sin(2πx) - 2) + 1)/(-3(1sin(2πx) - 2) + 2))^2 - 3((1(1sin(2πx) - 2) + 1)/(-3(1sin(2πx) - 2) + 2)) + 2 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local minima for the function f(x) = 2sin(3π((-3(5x) + 1)/(2(5x))) + 1) - 2 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = -2|(-3(2cos(2πx - 1) + 2)^2 - 4(2cos(2πx - 1) + 2) - 3) + 3| + 1 have in the interval [-10, 10]?

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


[User]
Find the number of local maximum points for f(x) = -3sin(3π(-3|(-3|x - 2| - 1) + 2| + 3) + 1) + 3 where -10 ≤ x ≤ 10.

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -2|((-1(-3cos(1πx + 3) - 1) - 1)/(-2(-3cos(1πx + 3) - 1) + 3)) + 1| have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = -1cos(3π(1(3x^2 + 2)^2 - 5(3x^2 + 2) + 3) + 2) + 2 in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = (-1(-1(3sin(2πx - 3) - 2) - 5))/(2(-1(3sin(2πx - 3) - 2) - 5) + 1) in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = -1(2cos(3π(-2|x + 1|) - 1) + 3)^2 - 4(2cos(3π(-2|x + 1|) - 1) + 3) + 3 have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = -5(3cos(3π(-4x + 3) + 2) - 1) + 4 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = -3cos(2π(1(-1|x + 1| + 1) + 5) - 2) - 2 have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = 5(-5(1cos(2πx - 3) - 2) + 2)^2 - 5(-5(1cos(2πx - 3) - 2) + 2) - 4 have in the interval [-10, 10]?

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


[User]
Determine the total count of local extrema points for the function f(x) = (1(2cos(3π(2|x - 1| + 1) + 2)) - 1)/(-1(2cos(3π(2|x - 1| + 1) + 2)) - 1) in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 5(-2cos(2π((-3x + 3)/(3x + 2)) - 1) + 2)^2 + 2(-2cos(2π((-3x + 3)/(3x + 2)) - 1) + 2) + 2 have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = 1(3(2cos(1πx + 1) - 2)^2 - 3(2cos(1πx + 1) - 2) + 2) - 4 have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = 2(2cos(1π(-3x^2 - 5x - 4) - 2) + 2) + 5 have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = 2((1(3sin(2πx + 3) + 2))/(1(3sin(2πx + 3) + 2) - 2)) + 3 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = 1|(2|(-2cos(3πx) + 2) + 2| - 2) - 2| + 3 have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = -1|(-1(3sin(2πx + 1) + 2)^2 - 1) - 3| - 3 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -2sin(3π(5(-3|x - 1| - 3)^2 + 2(-3|x - 1| - 3)) - 1) - 1 have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = (-2((-2(-3cos(2πx + 3) - 1))/(-3(-3cos(2πx + 3) - 1))) + 1)/(-1((-2(-3cos(2πx + 3) - 1))/(-3(-3cos(2πx + 3) - 1))) + 2) have in the interval [-10, 10]?

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


[User]
Determine the total count of local extrema points for the function f(x) = -5((-2(-3cos(3πx + 2) - 1) + 2)/(-1(-3cos(3πx + 2) - 1) - 2)) - 2 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 1sin(1π(1|(-1x^2 - 4x + 2) + 2| + 3) + 3) + 3 have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = 5(1(-4x^2 - 2x + 1)^2 - 4)^2 + 4(1(-4x^2 - 2x + 1)^2 - 4) + 3 where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = -1(-2sin(2π((-1x - 3)/(-3x - 1)) - 2) + 2) + 2 in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = -3sin(3π((-3((3x - 2)/(-3x)) - 3)/(-3((3x - 2)/(-3x)) - 2)) + 2) + 1 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = 1cos(2π(-3(2|x + 3|) - 2) - 2) have in the interval [-10, 10]?

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


[User]
Determine the total count of local extrema points for the function f(x) = 2(2cos(3π(1x + 3) + 3) - 3)^2 + 2(2cos(3π(1x + 3) + 3) - 3) - 2 in the interval [-10, 10].

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


[User]
Determine the count of local minima for the function f(x) = -1(5(2cos(3πx - 3) + 3)^2 - 4(2cos(3πx - 3) + 3) + 1)^2 - 1(5(2cos(3πx - 3) + 3)^2 - 4(2cos(3πx - 3) + 3) + 1) + 1 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -3cos(3π((-3(1x^2 - 3x - 1) - 3)/(-2(1x^2 - 3x - 1) - 1)) - 2) have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = 3|(-2cos(1π((1x)/(-2x - 1)) - 3) + 3) + 2| + 3 in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = -1cos(2π(-5((-1x - 1)/(3x + 3)) - 3)) - 2 have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = -1|((2(-2|x + 2| + 1) - 3)/(2(-2|x + 2| + 1) - 1)) + 2| - 1 in the interval [-10, 10].

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


[User]
Determine the count of local maxima for the function f(x) = 4(-1sin(1π((-1x - 3)/(-1x)) - 1) - 3)^2 + 5(-1sin(1π((-1x - 3)/(-1x)) - 1) - 3) - 2 in the interval [-10, 10].

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


[User]
Determine the count of local maxima for the function f(x) = -1cos(2π((2((-3x + 1)/(3x)) + 2)/(-3((-3x + 1)/(3x)) + 1)) - 1) + 1 in the interval [-10, 10].

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


[User]
Determine the count of local maxima for the function f(x) = 1(-1(2sin(2πx + 3))^2 - 3(2sin(2πx + 3)) + 1) - 3 in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = -2sin(3π((-2((1x - 3)/(1x + 3)) - 3)/(1((1x - 3)/(1x + 3))))) + 2 have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 2|(-1(1sin(2πx - 3) + 3)^2 + 4(1sin(2πx - 3) + 3) - 1) + 2| - 3 have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = -2|(4(-1|x - 1| + 2)^2 - 5(-1|x - 1| + 2) - 1) - 1| - 3 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local maxima for the function f(x) = (1(1sin(3π(3|x + 2| + 3) + 2) + 3) + 3)/(1(1sin(3π(3|x + 2| + 3) + 2) + 3) + 2) in the interval [-10, 10].

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


[User]
Determine the count of local maxima for the function f(x) = -2|(1cos(2π(-4x^2 - 3x - 5) + 2) - 1) - 3| in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = -3|(-3sin(1π(2x^2 - 4x - 1) - 1) + 2) - 3| - 3 in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = 2|(-3e^(2((-3x + 3)/(1x + 3))) - 2) + 2| - 1 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = (-2((2(1x^2 + 2x + 3) + 2)/(-3(1x^2 + 2x + 3) - 3)))/(-2((2(1x^2 + 2x + 3) + 2)/(-3(1x^2 + 2x + 3) - 3)) + 3) have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -1(1cos(3π(-3x + 1) - 1) - 2)^2 + 4(1cos(3π(-3x + 1) - 1) - 2) + 4 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = -5(-1sin(2π(1x + 2)))^2 - 5(-1sin(2π(1x + 2))) - 3 in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = -1(-2(1cos(1πx + 2) - 2)^2 - 2(1cos(1πx + 2) - 2) + 5)^2 + 4(-2(1cos(1πx + 2) - 2)^2 - 2(1cos(1πx + 2) - 2) + 5) - 4 have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = (-2((1(2cos(1πx - 1) + 2) - 2)/(-1(2cos(1πx - 1) + 2) - 3)) - 2)/(-3((1(2cos(1πx - 1) + 2) - 2)/(-1(2cos(1πx - 1) + 2) - 3)) - 2) where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = -2sin(3π(3|(1|x - 2| + 3) - 2| + 3) + 2) where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = 5(-2cos(1π(2|x - 3| + 1) - 3) + 1) + 4 have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = -1|(1|(-1cos(2πx + 3) - 2) + 2| + 3) - 2| + 2 where -10 ≤ x ≤ 10.

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


[User]
Find the total number of local minima and maxima for f(x) = 2cos(3π(-1|((-1x - 1)/(-2x + 1)) + 1| + 1)) - 3 where -10 ≤ x ≤ 10.

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 4(2|(2cos(1πx + 2))| + 2) - 1 have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 2|(1sin(3π(2x) + 3) + 1) - 2| + 3 have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = -1((-1(2sin(2πx) - 1) + 1)/(3(2sin(2πx) - 1) + 3))^2 + 3((-1(2sin(2πx) - 1) + 1)/(3(2sin(2πx) - 1) + 3)) have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = 3cos(2π(1|(2|x - 2| - 3) - 1| - 3) - 2) - 3 where -10 ≤ x ≤ 10.

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 2(-1(1|x - 2| - 3)^2 + 5(1|x - 2| - 3) + 4)^2 + 4 have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = (-2(-1(3sin(2πx + 2) + 3)^2 + 5(3sin(2πx + 2) + 3) + 4) - 1)/(2(-1(3sin(2πx + 2) + 3)^2 + 5(3sin(2πx + 2) + 3) + 4) - 3) in the interval [-10, 10].

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


[User]
Determine the count of local minima for the function f(x) = (3(-4(1cos(3πx + 1)) + 1) - 1)/(1(-4(1cos(3πx + 1)) + 1) - 2) in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = 1|(-1(3sin(1πx + 1))^2 + 4(3sin(1πx + 1)) - 5) + 3| - 3 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = (2(-3cos(1π(-5x + 1) - 2) + 2) + 2)/(2(-3cos(1π(-5x + 1) - 2) + 2) - 1) in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -1|(-1sin(1π(5x - 2) - 1) + 3)| have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = -1(1|(2sin(1πx + 3)) + 2| - 2) + 4 have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = 4(2|(1cos(1πx - 1) + 2) + 3|)^2 + 5(2|(1cos(1πx - 1) + 2) + 3|) in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = -4(3(-1sin(3πx - 2) - 2) - 5) have in the interval [-10, 10]?

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


[User]
Determine the total count of local extrema points for the function f(x) = 3(-1sin(2π(2x - 1) + 3) - 3) - 1 in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = -3|((-1(2sin(3πx + 3) + 2) - 3)/(-1(2sin(3πx + 3) + 2) + 3)) - 2| + 3 have in the interval [-10, 10]?

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


[User]
Determine the total count of local extrema points for the function f(x) = 5(1(3cos(1πx) - 3)^2 - 5(3cos(1πx) - 3) + 5)^2 - 3(1(3cos(1πx) - 3)^2 - 5(3cos(1πx) - 3) + 5) + 4 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = -3(-3cos(1π(-3x^2 + 1x + 1) - 3))^2 + 2(-3cos(1π(-3x^2 + 1x + 1) - 3)) - 2 have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -1|(1(-3cos(3πx - 2) - 3)) + 1| have in the interval [-10, 10]?

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


[User]
Find the number of local maximum points for f(x) = (-2(-2cos(1π(-3|x - 2| + 1) - 1) + 3) - 2)/(3(-2cos(1π(-3|x - 2| + 1) - 1) + 3) + 2) where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local minima for the function f(x) = -2cos(3π(-4(1x + 1)^2 - 5(1x + 1) - 2) + 1) - 2 in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = 1(3sin(1π((-2x + 3)/(1x + 2)) - 1) + 1) + 2 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 1|(2sin(1π(-2x + 3) - 3) + 3) - 2| - 2 have in the interval [-10, 10]?

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


[User]
Determine the total count of local extrema points for the function f(x) = 2(2(-1cos(3πx - 3) - 3)^2 - 2) - 5 in the interval [-10, 10].

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


[User]
Determine the count of local maxima for the function f(x) = -1sin(3π(4(-3|x - 3| - 1) + 3) - 2) + 2 in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = (3(1sin(1π(-4x^2 - 3x - 1) + 1) + 2) - 1)/(-2(1sin(1π(-4x^2 - 3x - 1) + 1) + 2) + 3) have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = (-2(-5(-3sin(3πx + 2) - 3) + 2) + 1)/(3(-5(-3sin(3πx + 2) - 3) + 2) + 2) where -10 ≤ x ≤ 10.

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


[User]
Find the number of local maximum points for f(x) = -3|(-1sin(3π((-1x + 3)/(-3x + 4)) + 3) - 2) - 3| + 1 where -10 ≤ x ≤ 10.

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


[User]
Find the total number of local minima and maxima for f(x) = (-2(-1e^(-2((-3x - 3)/(-3x))) + 3) - 3)/(3(-1e^(-2((-3x - 3)/(-3x))) + 3)) where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = -1|((3(-1x^2 + 4x + 3) - 2)/(-2(-1x^2 + 4x + 3))) - 1| - 1 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = -5((-1(3sin(3πx) - 2) + 3)/(-3(3sin(3πx) - 2) - 1)) - 4 have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = -2|((-1(-2sin(3πx + 1) + 3) - 3)/(-3(-2sin(3πx + 1) + 3) - 2)) + 1| - 2 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local minima for the function f(x) = 3|(3cos(2π((-2x - 2)/(-3x - 2)) - 3) - 3) - 2| - 2 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 3cos(3π(5((-1x - 1)/(3x - 1))^2 - 3((-1x - 1)/(3x - 1)) + 3)) + 2 have in the interval [-10, 10]?

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


[User]
How many local maxima does the function f(x) = -1sin(1π(1(3x + 1) + 4) + 3) + 1 have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = 1(3cos(3π(-2|x - 1|) + 3) + 1) + 3 have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = 2sin(3π(1(2x - 2)^2 - 2(2x - 2) - 1) - 2) + 3 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = 1sin(2π(-1(2x + 3)^2 + 4(2x + 3) - 5)) where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local maxima for the function f(x) = -2cos(3π(5(-1|x + 1| + 2) - 1) + 1) - 2 in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = 1cos(2π((-2((2x + 2)/(-2x)) + 1)/(1((2x + 2)/(-2x)) + 3)) + 2) + 3 where -10 ≤ x ≤ 10.

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


[User]
Find the total number of local minima and maxima for f(x) = 1cos(1π(-2|((3x + 2)/(-1x)) + 1| - 2) - 1) + 2 where -10 ≤ x ≤ 10.

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


[User]
Find the total number of local minima and maxima for f(x) = 1e^(1(5(-3x^2 + 4)^2 + 4(-3x^2 + 4) + 4)) where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = 5((1(-3sin(1πx - 2) - 3) - 2)/(-2(-3sin(1πx - 2) - 3) - 1))^2 + 3((1(-3sin(1πx - 2) - 3) - 2)/(-2(-3sin(1πx - 2) - 3) - 1)) - 4 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = 1cos(2π(2|(3|x + 2| - 1) + 2| + 1) + 1) - 2 in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = 2cos(3π(2|(4x + 1) - 2| - 2) - 3) have in the interval [-10, 10]?

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


[User]
Determine the total count of local extrema points for the function f(x) = -2|(2|(2sin(1πx + 2) + 2) + 2|) + 1| - 3 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -3(2sin(1π((1x + 2)/(-1x - 3)) + 2) - 1)^2 + 2(2sin(1π((1x + 2)/(-1x - 3)) + 2) - 1) have in the interval [-10, 10]?

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


[User]
Determine the total count of local extrema points for the function f(x) = -2cos(1π(-4(-1|x + 2| - 2) - 5) - 1) + 3 in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = -1sin(2π(1|((2x - 2)/(-3x)) + 3| + 3) + 1) + 2 in the interval [-10, 10].

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


[User]
Determine the count of local minima for the function f(x) = -2|(-2(-1sin(1πx - 2))^2 + 5(-1sin(1πx - 2)) - 5) - 2| + 1 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -3(-3cos(1π(-3|x - 3|) - 3) + 2) - 2 have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = 1(2(2cos(1πx - 1) + 3) - 4) + 1 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = 1(2cos(2π(3x^2 - 3x - 1)) - 1)^2 + 3(2cos(2π(3x^2 - 3x - 1)) - 1) + 4 have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = (-1((2(3sin(3πx - 1) + 1))/(2(3sin(3πx - 1) + 1) + 2)) + 2)/(-3((2(3sin(3πx - 1) + 1))/(2(3sin(3πx - 1) + 1) + 2)) + 2) where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local minima for the function f(x) = -1sin(2π(-2|(5x + 1) - 1| - 2) - 1) + 2 in the interval [-10, 10].

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


[User]
Find the number of local maximum points for f(x) = -3(5(1x^2 - 4x - 4)^2 + 4(1x^2 - 4x - 4))^2 - 1(5(1x^2 - 4x - 4)^2 + 4(1x^2 - 4x - 4)) - 2 where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = 1(-4(-2cos(2πx + 3) - 1)^2 - 5(-2cos(2πx + 3) - 1) + 2) - 3 in the interval [-10, 10].

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


[User]
Determine the count of local maxima for the function f(x) = (1(1(2cos(3πx - 3) + 2) - 1) - 2)/(2(1(2cos(3πx - 3) + 2) - 1) - 1) in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = (-3(1sin(2π(-1|x - 3| + 2) - 2)))/(2(1sin(2π(-1|x - 3| + 2) - 2)) + 1) have in the interval [-10, 10]?

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


[User]
Find the number of local maximum points for f(x) = 1(2sin(1π(-4x + 1) - 2) - 1)^2 - 1(2sin(1π(-4x + 1) - 2) - 1) - 2 where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = (2(3sin(2π((1x + 3)/(1x - 2)) + 3) - 2) - 2)/(1(3sin(2π((1x + 3)/(1x - 2)) + 3) - 2)) in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = -2e^(-1(-3(2x - 1) - 2)) + 2 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = 2sin(2π((2(1x^2 + 2x - 1) + 1)/(-2(1x^2 + 2x - 1) + 3)) + 3) + 2 in the interval [-10, 10].

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


[User]
Determine the count of local minima for the function f(x) = -4(-1|(-1cos(3πx + 2)) + 3| - 3)^2 - 4(-1|(-1cos(3πx + 2)) + 3| - 3) - 4 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 2|((3(-1sin(3πx + 2) - 3) + 1)/(-2(-1sin(3πx + 2) - 3))) + 1| + 1 have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 2(2sin(1π(-3x + 4) - 3) + 1)^2 - 4 have in the interval [-10, 10]?

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


[User]
Find the number of local maximum points for f(x) = 3|((-2(1x^2 + 5x - 5) - 1)/(-3(1x^2 + 5x - 5) + 1)) + 1| + 2 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local maxima for the function f(x) = (-3((-3(-2cos(1πx - 1) - 3))/(-2(-2cos(1πx - 1) - 3))) + 3)/(-3((-3(-2cos(1πx - 1) - 3))/(-2(-2cos(1πx - 1) - 3))) - 2) in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = 3(5(-2sin(2πx + 3) + 2) + 3) + 4 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local maximum points for f(x) = 2cos(2π(-3(5x - 3)^2 + 1(5x - 3) + 4) - 3) + 2 where -10 ≤ x ≤ 10.

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -3|(-1cos(1π(-1|x| + 3) + 2) - 3) - 2| - 2 have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = (1(-5(1sin(2πx + 3) + 3)^2 + 1(1sin(2πx + 3) + 3) + 5) + 2)/(-2(-5(1sin(2πx + 3) + 3)^2 + 1(1sin(2πx + 3) + 3) + 5)) in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = 3cos(3π(-1(-5x^2 + 1x + 3) + 5) + 2) + 1 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -1cos(2π(3(5x - 2)^2 - 4(5x - 2) - 1) - 1) - 1 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = 2(1|(-3cos(1πx + 2) - 2) + 3|)^2 + 3(1|(-3cos(1πx + 2) - 2) + 3|) + 2 in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = -1|(-3|(-2cos(1πx - 3) + 3) + 2| - 2) - 1| - 3 have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = 2cos(1π(-1((2x + 1)/(-2x - 2))^2 - 4((2x + 1)/(-2x - 2)) - 1) + 2) + 3 have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = -2sin(3π(-2(1x^2 - 5x - 1) - 3) - 2) - 3 where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = -3cos(1π(1(1x)^2 - 2(1x)) - 3) - 3 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = 1(3sin(1π(5x + 3) - 1) - 1)^2 - 2(3sin(1π(5x + 3) - 1) - 1) + 5 have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 1|(4(-2|x - 2| + 2)^2 - 4(-2|x - 2| + 2) - 5) - 2| + 3 have in the interval [-10, 10]?

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


[User]
Find the number of local maximum points for f(x) = (-2(2(3cos(3πx - 1) - 1)^2 + 5(3cos(3πx - 1) - 1) - 4))/(-2(2(3cos(3πx - 1) - 1)^2 + 5(3cos(3πx - 1) - 1) - 4) - 2) where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local minima for the function f(x) = 3cos(3π(5(-2x^2 + 1x + 2) + 3) - 3) - 2 in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = -5(-2sin(3π((2x - 3)/(2x + 1)) + 3) + 3) + 4 where -10 ≤ x ≤ 10.

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


[User]
Find the total number of local minima and maxima for f(x) = 3sin(3π(-2|(3|x - 2| - 3) + 2|)) + 3 where -10 ≤ x ≤ 10.

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 1(2sin(1π(-1|x + 2|) - 3) + 1) - 1 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = -5(-2cos(1π(3x + 1) + 3) - 2)^2 - 3(-2cos(1π(3x + 1) + 3) - 2) - 4 in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = (1(-3cos(3π(2|x| - 1) - 3) + 2) - 3)/(-1(-3cos(3π(2|x| - 1) - 3) + 2) - 3) where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = 3sin(1π(1(-3|x - 1| + 3) - 3)) + 2 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 2cos(1π(1(-4x + 3) - 3)) + 1 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = -3sin(1π(1|(3|x + 1| - 2) + 2| + 2) - 1) - 3 in the interval [-10, 10].

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


[User]
Determine the count of local minima for the function f(x) = (3(-1e^(-2(-5x^2 - 4)) - 1) - 1)/(-1(-1e^(-2(-5x^2 - 4)) - 1) - 1) in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = 3|(-2(-3sin(3πx - 3) + 2) - 2) - 2| + 2 in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = 3|(-2sin(1π(-3x^2 + 4x + 5) - 2) + 3) + 1| + 1 where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = -4(-1cos(3π(-1x^2 - 3x - 4) - 1) - 1) - 4 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 3cos(2π(-5(-1x^2 + 4x + 1))) - 2 have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = (2(2sin(3π(-1|x - 2| + 3) + 3) + 2) - 1)/(-3(2sin(3π(-1|x - 2| + 3) + 3) + 2) - 2) have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = 2sin(3π(-2((-1x + 1)/(-1x - 1)) - 2) - 3) - 1 have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 5(2sin(1π((1x)/(-3x + 2))) + 2) have in the interval [-10, 10]?

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


[User]
How many local maxima does the function f(x) = -2cos(3π(-3|(1x^2 - 1x + 5) + 1| - 3) - 3) + 2 have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = 1|(-1cos(1π(-4x^2 - 3x - 1) - 3) - 3) - 3| - 2 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = -1cos(2π(4(2|x - 1| + 2)^2 - 5(2|x - 1| + 2) - 4)) + 1 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -3((1(-3sin(1πx + 1) - 3) - 3)/(1(-3sin(1πx + 1) - 3) + 1))^2 - 2((1(-3sin(1πx + 1) - 3) - 3)/(1(-3sin(1πx + 1) - 3) + 1)) have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = -1cos(3π((-1(-4x - 3) - 1)/(-1(-4x - 3) - 3)) + 1) + 2 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local maximum points for f(x) = -1|(3cos(1π(-3|x + 2| - 3) - 2) - 3) - 3| + 2 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = -1sin(1π(3(2|x - 3| - 1)^2 - 5(2|x - 3| - 1) - 5) - 3) - 3 have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = 2e^(-1(-3|(2x^2 - 5x - 2) - 2| - 2)) where -10 ≤ x ≤ 10.

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


[User]
Find the number of local maximum points for f(x) = -5(-3sin(2π(-4x - 2) - 2) - 1)^2 + 2(-3sin(2π(-4x - 2) - 2) - 1) + 5 where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = 1cos(2π((-1(-3x + 4) + 1)/(1(-3x + 4))) - 3) + 2 in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = -3sin(3π(-1(-3|x + 3| + 1) - 2) - 3) - 1 in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = (2(-1sin(2π(-3x - 3) - 2) - 3))/(1(-1sin(2π(-3x - 3) - 2) - 3) - 3) where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local maxima for the function f(x) = (-2(-2sin(2π(4x) + 3) - 2) - 3)/(3(-2sin(2π(4x) + 3) - 2) - 2) in the interval [-10, 10].

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


[User]
Determine the count of local minima for the function f(x) = (-2(-1cos(1π(-2x^2 + 4x + 1) + 2) - 3))/(2(-1cos(1π(-2x^2 + 4x + 1) + 2) - 3) - 3) in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = -1(1(-1|x - 2| - 1)^2 + 4(-1|x - 2| - 1) + 1)^2 - 1(1(-1|x - 2| - 1)^2 + 4(-1|x - 2| - 1) + 1) - 2 in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = -3|((3(1x^2 + 2x + 4) + 3)/(-1(1x^2 + 2x + 4) - 1)) + 3| have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = -2(4(-2sin(3πx - 2))^2 - 4(-2sin(3πx - 2)) - 1) - 5 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = 1(2cos(2π(-2|x - 1|) + 1) + 2)^2 + 1 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local maxima for the function f(x) = -1(3sin(2π(-1|x - 1| - 3) + 1)) - 4 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 1|(-3cos(1π(-4x - 4) + 1) - 3) + 3| - 2 have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = 1|(-1sin(3π(2x^2 + 2x - 1) - 3) + 1) - 2| - 1 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local maxima for the function f(x) = -1((-3(-2cos(1πx - 1)) + 1)/(-2(-2cos(1πx - 1)) + 1)) - 5 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 3sin(3π((-1(2x^2 + 5x + 2) + 3)/(-2(2x^2 + 5x + 2) + 3)) + 3) - 2 have in the interval [-10, 10]?

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


[User]
How many local maxima does the function f(x) = (3(-3(1sin(1πx - 2) + 2)^2 + 1(1sin(1πx - 2) + 2) + 3) + 3)/(-2(-3(1sin(1πx - 2) + 2)^2 + 1(1sin(1πx - 2) + 2) + 3) - 3) have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = -3sin(2π(1|((-3x - 1)/(3x)) - 1| + 3) - 2) + 2 in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = (2(-1(-3sin(1πx + 3) - 1) + 1) - 1)/(-3(-1(-3sin(1πx + 3) - 1) + 1) + 4) where -10 ≤ x ≤ 10.

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


[User]
Find the total number of local minima and maxima for f(x) = -2cos(1π(-5(-1x^2 + 1) - 2) + 1) - 3 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = -1(-3sin(1π(3|x + 3| - 3)) - 2) - 5 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = -2cos(2π(-3|(-2|x - 2| - 3) + 1| + 1) + 2) + 2 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = 1|((-3(2sin(3πx) - 1) - 2)/(-2(2sin(3πx) - 1) + 3)) + 2| - 1 in the interval [-10, 10].

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


[User]
Find the number of local maximum points for f(x) = (3(2sin(1π(-3|x + 2| + 2) - 3)) - 3)/(-1(2sin(1π(-3|x + 2| + 2) - 3)) - 1) where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = -1|(1cos(3π((-2x + 1)/(-3x - 1)) - 1) - 3) + 1| + 3 where -10 ≤ x ≤ 10.

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 2(-3e^(-2(1|x + 2| - 1)) + 1)^2 - 4(-3e^(-2(1|x + 2| - 1)) + 1) + 3 have in the interval [-10, 10]?

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


[User]
How many local maxima does the function f(x) = 3(1cos(3π(-4x - 2) + 1) + 2)^2 + 1(1cos(3π(-4x - 2) + 1) + 2) + 3 have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = (-1(1sin(3π((2x - 2)/(-3x - 2)))) - 2)/(-1(1sin(3π((2x - 2)/(-3x - 2)))) + 2) have in the interval [-10, 10]?

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


[User]
Determine the total count of local extrema points for the function f(x) = 3(-2cos(1π(-2x^2 + 5x - 1) - 2) + 1) - 3 in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = -1(-3cos(2π(2|x - 2| + 3))) - 4 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local maxima for the function f(x) = -1cos(2π(-2|(-4x) - 1| - 1) + 2) + 2 in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = (1(-2sin(3π(2x^2 + 3x + 4) - 2) - 3) + 1)/(-1(-2sin(3π(2x^2 + 3x + 4) - 2) - 3) + 2) where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = -1cos(1π(-1|((2x)/(2x + 1)) - 1|) - 2) - 3 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local minima for the function f(x) = 2cos(2π(1(-1x^2 + 5x)^2 + 1(-1x^2 + 5x) + 2) - 3) - 1 in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = -2(-2cos(3π(-1|x|) - 2) + 1) + 5 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 3(-3e^(2(-3|x + 3| + 3)) - 3)^2 + 1(-3e^(2(-3|x + 3| + 3)) - 3) + 2 have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = -5(1(-2sin(3πx + 3) - 1) + 3)^2 - 1(1(-2sin(3πx + 3) - 1) + 3) - 1 have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = 2|(1|(1cos(2πx - 3) - 2)| - 1) - 1| + 1 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local minima for the function f(x) = -2((-1(-1cos(3πx + 2) - 3) + 1)/(-3(-1cos(3πx + 2) - 3)))^2 + 2((-1(-1cos(3πx + 2) - 3) + 1)/(-3(-1cos(3πx + 2) - 3))) in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = 1|(-2(3sin(1πx - 1) + 2)^2 + 3(3sin(1πx - 1) + 2) + 2)| - 1 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = 2|(-1sin(3π(3|x - 1| + 2) + 1) - 1) + 2| - 1 in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = -5(-3(-3sin(2πx) - 2)^2 + 2(-3sin(2πx) - 2) - 4)^2 - 1(-3(-3sin(2πx) - 2)^2 + 2(-3sin(2πx) - 2) - 4) - 2 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = 4(1|(-1sin(3πx + 3) + 3) - 1| - 1) + 5 have in the interval [-10, 10]?

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


[User]
Determine the total count of local extrema points for the function f(x) = -2sin(2π(-3(-4x^2 + 4x - 3) - 3) - 3) - 3 in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = 2cos(3π(3(1|x + 2| + 2)^2 + 1(1|x + 2| + 2) - 3) + 3) + 3 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = -2(-3sin(1π((-2x - 1)/(1x + 2)) + 3) - 3) + 5 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = -1cos(2π(-1(1x^2 - 2x - 2)^2 - 2(1x^2 - 2x - 2) - 3) + 2) have in the interval [-10, 10]?

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


[User]
How many local maxima does the function f(x) = 2cos(3π(4(4x^2) + 1) - 3) - 1 have in the interval [-10, 10]?

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


[User]
Find the number of local maximum points for f(x) = 3|(2|(1sin(3πx + 2))|) + 2| - 1 where -10 ≤ x ≤ 10.

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


[User]
Find the total number of local minima and maxima for f(x) = 3sin(2π(-3(-4x - 2)^2 + 5(-4x - 2) + 3) - 3) where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = -2(1(2cos(1πx) + 2) + 2) - 4 have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = -5(-1sin(2π(-2x) + 1) + 3)^2 + 4(-1sin(2π(-2x) + 1) + 3) + 4 have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = -3(-3sin(2π((-3x - 2)/(-1x))) + 2) + 1 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local maxima for the function f(x) = (2(1e^(2(-2|x + 1| - 2))))/(-3(1e^(2(-2|x + 1| - 2)))) in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = 5((3(3x^2 - 4) - 2)/(2(3x^2 - 4) + 3))^2 - 4((3(3x^2 - 4) - 2)/(2(3x^2 - 4) + 3)) - 3 where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = (-3((-1(2cos(1πx - 2) + 2) + 2)/(2(2cos(1πx - 2) + 2) + 2)) + 3)/(-2((-1(2cos(1πx - 2) + 2) + 2)/(2(2cos(1πx - 2) + 2) + 2)) + 3) in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = (-2(-1e^(-2(5x - 1))) - 3)/(3(-1e^(-2(5x - 1)))) have in the interval [-10, 10]?

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


[User]
How many local maxima does the function f(x) = 1(2|(2sin(3πx + 1) + 3) - 2| + 1) + 2 have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = 3|(-1sin(1π(-2|x + 3| + 1) + 3) - 2) - 3| + 2 in the interval [-10, 10].

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


[User]
Determine the count of local maxima for the function f(x) = -4((-1(1x^2 + 4x - 1) + 3)/(-1(1x^2 + 4x - 1) + 2))^2 + 5((-1(1x^2 + 4x - 1) + 3)/(-1(1x^2 + 4x - 1) + 2)) + 5 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -1(-2(2sin(1πx - 2))^2 - 3) - 4 have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = (1(2cos(3π(-5x - 5)) + 3))/(3(2cos(3π(-5x - 5)) + 3)) where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = 3|(-1(-2cos(1πx - 2) + 3) + 4) - 3| - 3 have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = 3(-1cos(3π((-2x - 1)/(1x - 3)) + 1) + 3) - 4 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local minima for the function f(x) = -2|(-2sin(3π(5x - 2) + 2)) + 3| + 1 in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = -4(-1|(-2sin(3πx + 3) - 3) - 3| + 2)^2 - 2(-1|(-2sin(3πx + 3) - 3) - 3| + 2) + 2 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = -1cos(3π(-2|(3x + 4) - 1|) - 3) + 1 have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = 1sin(2π((1(-2x - 1) - 1)/(-1(-2x - 1) + 3)) - 3) + 2 in the interval [-10, 10].

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


[User]
Determine the count of local minima for the function f(x) = 2sin(3π((-2((2x)/(2x + 1)) + 3)/(2((2x)/(2x + 1))))) - 2 in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = 3((1(3cos(1πx + 3) - 2) - 1)/(1(3cos(1πx + 3) - 2) - 2))^2 - 4((1(3cos(1πx + 3) - 2) - 1)/(1(3cos(1πx + 3) - 2) - 2)) + 2 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = -2|(-1(-2cos(3πx + 2) - 1)^2 + 4(-2cos(3πx + 2) - 1) - 5) + 3| + 2 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local maxima for the function f(x) = -1(-1e^(1(-5x - 2)) - 2) - 2 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = 2(3sin(2π(1|x + 2| - 2) - 3) - 2) - 4 have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = 1((2(5x^2 - 1x - 2) - 3)/(2(5x^2 - 1x - 2) + 2))^2 + 2((2(5x^2 - 1x - 2) - 3)/(2(5x^2 - 1x - 2) + 2)) - 5 in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = -5(4(3cos(3πx) - 2) + 5)^2 - 1(4(3cos(3πx) - 2) + 5) + 2 where -10 ≤ x ≤ 10.

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = (-2(2(1cos(3πx + 2) - 3)^2 + 2(1cos(3πx + 2) - 3) + 4) - 2)/(-2(2(1cos(3πx + 2) - 3)^2 + 2(1cos(3πx + 2) - 3) + 4) + 1) have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = 3sin(3π((1(-1x^2 + 4x + 2) - 2)/(2(-1x^2 + 4x + 2) + 3))) where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = 1(-2sin(2π(-4x^2 + 3x - 1) - 1))^2 + 3(-2sin(2π(-4x^2 + 3x - 1) - 1)) - 4 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = 2|(-1e^(-1(3x - 3)) - 3) + 2| + 2 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = -3cos(1π(-2((-1x + 2)/(2x + 1))^2 - 2((-1x + 2)/(2x + 1))) - 1) - 2 have in the interval [-10, 10]?

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


[User]
Determine the total count of local extrema points for the function f(x) = -1(-3sin(3π((2x - 1)/(3x - 1)) - 3) + 1) + 3 in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = -3|(4(-1x^2 - 4x + 3)^2 + 2(-1x^2 - 4x + 3) - 3) - 3| + 2 where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = 2(1cos(1π(2|x|) + 2) + 2) - 1 in the interval [-10, 10].

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


[User]
Determine the count of local maxima for the function f(x) = -4((2(-2sin(3πx) + 3))/(-2(-2sin(3πx) + 3) + 3)) - 1 in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = -5((1(3cos(2πx + 1) + 3) - 3)/(2(3cos(2πx + 1) + 3) + 2)) - 2 have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = -2|(1cos(3π(-4x + 5)) + 2) - 3| where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = (2((-2(3x^2 + 3x - 3) - 2)/(-3(3x^2 + 3x - 3) - 3)) + 1)/(2((-2(3x^2 + 3x - 3) - 2)/(-3(3x^2 + 3x - 3) - 3))) have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = 1|(-1sin(1π(-3x - 5) - 3) + 3)| + 3 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = 2cos(2π(1(5x + 4) - 1) + 3) + 3 where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = 3(2cos(1π(2x^2 + 4x + 2) - 2) - 3)^2 + 2(2cos(1π(2x^2 + 4x + 2) - 2) - 3) + 3 have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -3cos(1π(1(-1|x + 1| - 2)^2 - 1(-1|x + 1| - 2) + 2) - 1) have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 3sin(3π(1(-5x)^2 - 1(-5x) - 5) + 1) - 1 have in the interval [-10, 10]?

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


[User]
Determine the total count of local extrema points for the function f(x) = 1cos(1π(2|(3|x - 3| + 2) - 3| + 3) + 3) + 1 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = (-1(-2sin(3π(-4x^2 - 1x - 5) + 3) + 3) - 2)/(-1(-2sin(3π(-4x^2 - 1x - 5) + 3) + 3) - 1) have in the interval [-10, 10]?

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


[User]
Find the number of local maximum points for f(x) = (2(2sin(3π((1x + 2)/(-1x)) + 2) + 3) - 1)/(-2(2sin(3π((1x + 2)/(-1x)) + 2) + 3) + 3) where -10 ≤ x ≤ 10.

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 2(-2sin(1π(-4x^2 + 3x + 2) + 1) - 3) + 2 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = 2(1sin(2π(-4x^2 - 4x - 2) + 2) - 2)^2 + 4(1sin(2π(-4x^2 - 4x - 2) + 2) - 2) - 5 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = (-1(1(-3sin(3πx - 3) - 2)^2 - 3(-3sin(3πx - 3) - 2)) + 2)/(-3(1(-3sin(3πx - 3) - 2)^2 - 3(-3sin(3πx - 3) - 2))) have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = 2(5(1sin(3πx) - 1)^2 + 4(1sin(3πx) - 1) + 1)^2 - 2(5(1sin(3πx) - 1)^2 + 4(1sin(3πx) - 1) + 1) + 5 in the interval [-10, 10].

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


[User]
Find the total number of local minima and maxima for f(x) = -3((-3(1x^2 - 1x - 3))/(-1(1x^2 - 1x - 3)))^2 + 5((-3(1x^2 - 1x - 3))/(-1(1x^2 - 1x - 3))) where -10 ≤ x ≤ 10.

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


[User]
Find the total number of local minima and maxima for f(x) = 2sin(2π(4(4x^2 - 2x + 5)) + 2) - 1 where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = -3cos(1π(3|(-1|x - 3| + 3) - 1|) - 2) - 1 have in the interval [-10, 10]?

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


[User]
Determine the total count of local extrema points for the function f(x) = (2(3sin(2π(1x + 4)) - 1) - 2)/(-1(3sin(2π(1x + 4)) - 1) - 1) in the interval [-10, 10].

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


[User]
Determine the count of local minima for the function f(x) = -2sin(3π(4(-4x + 3) + 1) + 1) + 2 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -1|(2|(-1sin(2πx - 3)) - 1| - 1) + 3| - 1 have in the interval [-10, 10]?

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


[User]
How many local maxima does the function f(x) = -2|((-2(-3cos(3πx + 1)) - 1)/(3(-3cos(3πx + 1)) - 1)) - 1| - 1 have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 1sin(1π(-1(-2|x + 3| - 2) - 3) + 3) - 3 have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = -3sin(3π(2|(-3|x| + 3) + 2| - 2) - 3) in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = 1cos(1π(1|(1|x - 2| - 2) - 2| + 2)) - 2 have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 2sin(1π(4(-3x + 3) - 2) + 2) + 3 have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = -2cos(2π(3(1|x - 1|)^2 + 5(1|x - 1|) - 1) - 1) + 3 in the interval [-10, 10].

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


[User]
How many local minima does the function f(x) = 1(2sin(2π((-3x + 2)/(-1x)) + 3) + 3)^2 + 2(2sin(2π((-3x + 2)/(-1x)) + 3) + 3) + 2 have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = (-2(2sin(1π(-2|x + 3| - 3) - 1) - 1) - 3)/(2(2sin(1π(-2|x + 3| - 3) - 1) - 1) - 1) in the interval [-10, 10].

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


[User]
Determine the count of local maxima for the function f(x) = 1|(-3(4x^2 - 2)^2 + 5) + 2| + 2 in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = 4(1(-3sin(2πx + 1) - 3) - 3) in the interval [-10, 10].

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


[User]
Determine the total count of local extrema points for the function f(x) = 3((-1(1cos(1πx + 3) - 1))/(-1(1cos(1πx + 3) - 1) + 2))^2 - 2((-1(1cos(1πx + 3) - 1))/(-1(1cos(1πx + 3) - 1) + 2)) + 5 in the interval [-10, 10].

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


[User]
How many local maxima does the function f(x) = 3|(3cos(3π(2|x + 2| + 1) - 1) - 2)| have in the interval [-10, 10]?

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


[User]
Find the number of local maximum points for f(x) = 3(-4(-1sin(1πx) - 1)^2 + 2(-1sin(1πx) - 1) + 1) - 5 where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = 2cos(2π(-1(3|x + 2| + 3)^2 + 2(3|x + 2| + 3) + 1)) have in the interval [-10, 10]?

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


[User]
Determine the count of local minima for the function f(x) = -2(-1sin(1π(-1x + 2) - 3) - 1)^2 + 5(-1sin(1π(-1x + 2) - 3) - 1) - 2 in the interval [-10, 10].

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


[User]
Find the number of local maximum points for f(x) = 2sin(2π(-3|(-3|x + 1|)| - 1) - 3) + 2 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = 2(1(-2cos(3πx) - 3) + 3)^2 - 2(1(-2cos(3πx) - 3) + 3) + 4 have in the interval [-10, 10]?

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


[User]
Find the number of local maximum points for f(x) = -3(-2cos(2π(3x + 2) - 1) + 3)^2 - 5(-2cos(2π(3x + 2) - 1) + 3) - 1 where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = -1cos(3π(2|((-2x - 2)/(-1x + 3)) - 1| + 3)) + 3 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = 1sin(3π(-5(4x + 4) + 2)) - 3 in the interval [-10, 10].

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


[User]
Find the number of local maximum points for f(x) = 3sin(1π(-1(-3x^2 + 1x - 5) + 3) - 3) + 1 where -10 ≤ x ≤ 10.

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


[User]
Find the total number of local minima and maxima for f(x) = 2cos(2π((3(-2|x - 3|) - 2)/(-2(-2|x - 3|) + 3)) - 2) - 3 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = 5(-2sin(3π(3x^2 - 3x - 4) - 2) - 2)^2 + 1(-2sin(3π(3x^2 - 3x - 4) - 2) - 2) + 5 have in the interval [-10, 10]?

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


[User]
Find the number of local minimum points for f(x) = -2|(3|(1x^2 - 5x)| - 3) - 2| + 2 where -10 ≤ x ≤ 10.

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


[User]
Find the number of local maximum points for f(x) = (-1(1(-1cos(2πx + 2) + 3)^2 + 3(-1cos(2πx + 2) + 3) + 4) - 1)/(3(1(-1cos(2πx + 2) + 3)^2 + 3(-1cos(2πx + 2) + 3) + 4)) where -10 ≤ x ≤ 10.

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


[User]
Find the number of local maximum points for f(x) = 1(-1cos(2π(4x - 2) - 2) + 3)^2 - 1(-1cos(2π(4x - 2) - 2) + 3) - 1 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = -1(3|(2sin(1πx - 2) + 1) - 2| + 3)^2 + 5(3|(2sin(1πx - 2) + 1) - 2| + 3) + 2 have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = (1((-1(-3cos(1πx - 2) + 3))/(1(-3cos(1πx - 2) + 3) + 1)))/(-2((-1(-3cos(1πx - 2) + 3))/(1(-3cos(1πx - 2) + 3) + 1)) - 1) where -10 ≤ x ≤ 10.

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = (3((-2(-1sin(2πx - 2) - 2) + 1)/(1(-1sin(2πx - 2) - 2) + 1)) - 1)/(1((-2(-1sin(2πx - 2) - 2) + 1)/(1(-1sin(2πx - 2) - 2) + 1))) have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = 1sin(3π(5(-4x^2 - 5x - 2)^2 - 1(-4x^2 - 5x - 2) + 1) + 3) have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = 3sin(2π(-3(2x + 2)^2 + 1(2x + 2) + 4) - 3) + 1 have in the interval [-10, 10]?

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


[User]
How many local maxima does the function f(x) = (1((1(-1x^2 + 2x + 3))/(3(-1x^2 + 2x + 3))) - 2)/(-1((1(-1x^2 + 2x + 3))/(3(-1x^2 + 2x + 3))) - 2) have in the interval [-10, 10]?

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


[User]
Find the number of local maximum points for f(x) = (1((-2(-3sin(1πx - 3) + 2) - 3)/(1(-3sin(1πx - 3) + 2) + 2)) - 3)/(-1((-2(-3sin(1πx - 3) + 2) - 3)/(1(-3sin(1πx - 3) + 2) + 2)) - 3) where -10 ≤ x ≤ 10.

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 3(1sin(3π(1|x + 3| + 3) - 2) - 2) - 3 have in the interval [-10, 10]?

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


[User]
Determine the count of local maxima for the function f(x) = -2((-1(1sin(2πx) - 2) + 2)/(-3(1sin(2πx) - 2) + 2)) - 3 in the interval [-10, 10].

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


[User]
Find the number of local maximum points for f(x) = (1(2sin(3π(-5x - 1) + 3)) + 1)/(2(2sin(3π(-5x - 1) + 3))) where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = -5(-1sin(2π(-1|x - 2| + 3) - 2) - 2) - 2 where -10 ≤ x ≤ 10.

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


[User]
Find the total number of local minima and maxima for f(x) = 1|(1cos(2π((-1x)/(2x - 3)) - 1) + 3) - 1| where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = 3(-3cos(1π(-1|x - 1| - 2) - 2) + 2)^2 - 1(-3cos(1π(-1|x - 1| - 2) - 2) + 2) - 5 in the interval [-10, 10].

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 4(3sin(1π((-2x - 2)/(-1x))) + 1) - 1 have in the interval [-10, 10]?

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


[User]
Find the number of local maximum points for f(x) = 2sin(2π(-2((2x)/(3x - 2))^2 + 2((2x)/(3x - 2)) - 3) - 3) - 3 where -10 ≤ x ≤ 10.

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = (1(3cos(1π(-1x^2 - 2x + 4) - 1) - 2) - 1)/(1(3cos(1π(-1x^2 - 2x + 4) - 1) - 2)) have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -5(-2sin(3π(-2|x - 1|) + 2) - 2)^2 - 5(-2sin(3π(-2|x - 1|) + 2) - 2) + 2 have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = (-1(-3(2cos(3πx - 3) - 3) - 1) - 3)/(-3(-3(2cos(3πx - 3) - 3) - 1) + 1) have in the interval [-10, 10]?

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


[User]
Find the number of local maximum points for f(x) = 3sin(3π(1|(2x^2 - 4x - 1) + 1| + 1) - 3) + 3 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = 1|(1|(-2sin(3πx + 3) + 2) + 3|) + 2| + 2 have in the interval [-10, 10]?

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


[User]
Find the number of local maximum points for f(x) = -1(-2sin(1π(-2|x + 3|) + 2) - 3) where -10 ≤ x ≤ 10.

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


[User]
Find the number of local minimum points for f(x) = -2sin(1π(-3(-2|x| - 1) - 5) + 1) + 1 where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = 1(-3cos(2π((1x + 1)/(3x)) - 1) - 3) + 4 have in the interval [-10, 10]?

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


[User]
Find the total number of local minima and maxima for f(x) = (3(-5(1sin(1πx + 1) - 2) - 2))/(-2(-5(1sin(1πx + 1) - 2) - 2)) where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = (3(3|(-3sin(3πx + 3) + 2) - 3| + 2) - 1)/(3(3|(-3sin(3πx + 3) + 2) - 3| + 2) + 1) have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = -2|(-3|(-5x^2 + 5x + 1) + 1| + 2)| - 3 have in the interval [-10, 10]?

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


[User]
Determine the total count of local extrema points for the function f(x) = -3(-4(3cos(1πx - 1) + 3)) + 1 in the interval [-10, 10].

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


[User]
Find the number of local maximum points for f(x) = 3sin(3π(-4((3x + 1)/(2x + 2)) - 2) + 3) where -10 ≤ x ≤ 10.

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


[User]
Determine the total count of local extrema points for the function f(x) = -1e^(-2(1|(2x + 3) - 2| + 3)) + 1 in the interval [-10, 10].

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


[User]
Find the number of local minimum points for f(x) = 1cos(1π((-3(-1x^2) - 2)/(1(-1x^2) - 2)) - 2) - 3 where -10 ≤ x ≤ 10.

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


[User]
Determine the count of local maxima for the function f(x) = (-2(5(1cos(2πx + 2) - 2) - 3))/(-1(5(1cos(2πx + 2) - 2) - 3) - 2) in the interval [-10, 10].

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


[User]
Find the number of local maximum points for f(x) = -3|((-1(-2cos(2πx - 3)) - 3)/(3(-2cos(2πx - 3)) + 3)) - 2| where -10 ≤ x ≤ 10.

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


[User]
How many local maxima does the function f(x) = -3cos(2π(-2|(-3x^2 - 1x - 1)| + 3) + 3) + 3 have in the interval [-10, 10]?

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


[User]
How many local extrema (minima and maxima combined) does the function f(x) = 3((-2(-2|x + 3| + 3) + 2)/(2(-2|x + 3| + 3) - 1))^2 + 3((-2(-2|x + 3| + 3) + 2)/(2(-2|x + 3| + 3) - 1)) + 5 have in the interval [-10, 10]?

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


[User]
How many local maxima does the function f(x) = 2|(1sin(3π(-2|x|) - 3) - 3) - 1| have in the interval [-10, 10]?

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