[User]
How many local minima does the function f(x) = 2|(2cos(1π(4x^2 + 2x) - 2) + 3) - 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) = (1(2|(1(2sin(1πx + 1) + 1)^2 + 2(2sin(1πx + 1) + 1) - 3) - 3| + 3) + 3)/(1(2|(1(2sin(1πx + 1) + 1)^2 + 2(2sin(1πx + 1) + 1) - 3) - 3| + 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) = -3cos(1π((3(4(1|x - 1|) + 5))/(2(4(1|x - 1|) + 5)))) - 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(1e^(-1(-4x + 5)) - 2) + 1)/(2(1e^(-1(-4x + 5)) - 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(1cos(2π((-3x + 1)/(-1x - 1))) + 3) + 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) = 3|(-1(3sin(2πx)) - 3) - 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) = (1(-5(1x^2 + 5x - 1) + 3))/(3(-5(1x^2 + 5x - 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) = -3|(-1cos(3π(-5(-1x^2 - 1x + 2) + 3) - 1)) - 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) = -1sin(2π(-3|(-5x^2 + 3) - 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) = (-3(-1|(-1sin(3πx + 1) + 3)| + 1) + 3)/(-3(-1|(-1sin(3πx + 1) + 3)| + 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(1sin(2π(5x^2 - 5) + 2) - 2) + 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) = -5(-1cos(1π(1((-2x - 1)/(2x - 1))^2 + 1((-2x - 1)/(2x - 1))) + 1)) + 4 where -10 ≤ x ≤ 10.

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


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

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


[User]
How many local maxima does the function f(x) = 2|(-3(-2cos(2πx - 1) + 2) + 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) = 1sin(2π(-5((1x - 1)/(2x - 3))^2 + 4((1x - 1)/(2x - 3)) - 5) + 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) = -1|((-1(2(1sin(3πx - 2) - 2)^2 - 5(1sin(3πx - 2) - 2)) + 3)/(2(2(1sin(3πx - 2) - 2)^2 - 5(1sin(3πx - 2) - 2)) + 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) = -3|((2(3cos(1πx - 3) + 1) - 2)/(-2(3cos(1πx - 3) + 1) - 1)) - 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) = 1cos(3π(2|((1x + 1)/(-2x + 3))| + 3) + 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) = -3sin(2π(-2(2|x - 2| + 2)^2) - 3) - 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) = 1cos(1π(-1(1x^2 + 3x + 1)) - 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) = (-3(-2(-3|(2x - 5) - 3| + 2)^2 - 3(-3|(2x - 5) - 3| + 2) + 2))/(-1(-2(-3|(2x - 5) - 3| + 2)^2 - 3(-3|(2x - 5) - 3| + 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) = (1(-2(3cos(3π(5x + 3) + 1) + 3)^2 + 4(3cos(3π(5x + 3) + 1) + 3) - 1) + 2)/(-2(-2(3cos(3π(5x + 3) + 1) + 3)^2 + 4(3cos(3π(5x + 3) + 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 maximum points for f(x) = 3((-1(3sin(3πx - 1)) - 1)/(-3(3sin(3πx - 1)) + 4)) - 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(2|(3cos(3πx - 3))| - 2)^2 - 4(2|(3cos(3πx - 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(5(-1cos(2πx - 2) - 2)^2 - 1(-1cos(2πx - 2) - 2) + 5) + 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) = (1(2(3sin(3πx - 1) + 1) + 4))/(2(2(3sin(3πx - 1) + 1) + 4) - 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) = 3cos(3π(-3|(5(2x^2 + 5) - 4) + 3| - 3) + 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) = (-3(-4(-2e^(2(2|x + 1| - 1)))^2 - 4(-2e^(2(2|x + 1| - 1))) + 4) + 3)/(3(-4(-2e^(2(2|x + 1| - 1)))^2 - 4(-2e^(2(2|x + 1| - 1))) + 4) + 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) = -1sin(3π((1(3|(-2x^2 - 4x - 1) + 3| - 3) - 3)/(3(3|(-2x^2 - 4x - 1) + 3| - 3) - 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) = 1sin(3π(-2|((3(5x) - 3)/(-1(5x) + 2)) + 2| + 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) = 2sin(3π(-3(-1|x + 1|) + 2) - 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(-2sin(2π((1x - 2)/(1x)) - 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) = -1(-2cos(3π(4x^2 - 2x + 3) - 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(1|(1sin(2πx - 2) + 3) - 3| - 2)^2 - 5(1|(1sin(2πx - 2) + 3) - 3| - 2) + 5) + 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) = -3sin(3π(3|((1x - 2)/(-2x - 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) = (-1(-2sin(1π(-2|(1x^2 + 2x - 5) + 2| + 3) + 2) - 2) + 3)/(-2(-2sin(1π(-2|(1x^2 + 2x - 5) + 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) = 3|((-1(1cos(1πx + 2) - 3) - 2)/(2(1cos(1πx + 2) - 3) - 1)) + 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) = (1(1cos(3π(-4(-1|x - 2| + 3)^2 - 4(-1|x - 2| + 3) + 2) + 2) + 2) - 1)/(3(1cos(3π(-4(-1|x - 2| + 3)^2 - 4(-1|x - 2| + 3) + 2) + 2) + 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) = 3(-1sin(2π(1x^2 + 1x - 1) - 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) = (1(-3sin(2π(-2(-1x^2 - 5x + 3) - 4) + 2) + 2) + 2)/(-1(-3sin(2π(-2(-1x^2 - 5x + 3) - 4) + 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(-3sin(3π(-1x + 5) - 2) - 1)^2 - 3(-3sin(3π(-1x + 5) - 2) - 1) - 5 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(-2|((-3(-1e^(1x) - 1) - 3)/(1(-1e^(1x) - 1) + 1)) + 1| - 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) = -2cos(2π(-5(3|x - 3| + 3)^2 + 2(3|x - 3| + 3) - 5) - 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) = (-1(-4(2cos(2πx - 3) - 2) + 5) - 3)/(-2(-4(2cos(2πx - 3) - 2) + 5) - 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(1cos(2πx - 1) + 1)^2 - 5(1cos(2πx - 1) + 1) - 4) + 3)/(-2(2(1cos(2πx - 1) + 1)^2 - 5(1cos(2πx - 1) + 1) - 4) + 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) = -4((-2(-3(1cos(2πx - 2) + 2) - 1) + 3)/(3(-3(1cos(2πx - 2) + 2) - 1) - 2))^2 + 2((-2(-3(1cos(2πx - 2) + 2) - 1) + 3)/(3(-3(1cos(2πx - 2) + 2) - 1) - 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) = 1cos(2π(1((1(-1|x - 1| + 3) - 3)/(-1(-1|x - 1| + 3)))^2 + 3((1(-1|x - 1| + 3) - 3)/(-1(-1|x - 1| + 3))) + 4) + 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) = -4(-5(-3sin(1π((1x + 1)/(1x + 2)) + 3) + 2) + 4)^2 - 3(-5(-3sin(1π((1x + 1)/(1x + 2)) + 3) + 2) + 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|(3sin(1π((3x + 2)/(1x - 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) = -2cos(3π(-3|(2x + 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(-2sin(2π(-1|(2x^2 - 3x + 4) + 1| + 3) - 2) - 1) - 2)/(3(-2sin(2π(-1|(2x^2 - 3x + 4) + 1| + 3) - 2) - 1) + 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|((3(1e^(2(-1x + 5)) + 1) + 1)/(2(1e^(2(-1x + 5)) + 1) + 1))| + 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) = 4(-2cos(2π((-2x + 1)/(1x)) + 1) + 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) = 2cos(1π(2(-2|(-5x) - 2| - 3)^2 + 1(-2|(-5x) - 2| - 3) - 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) = -4(-3(-2e^(2((-3x - 3)/(-1x - 1))) + 3) - 1)^2 + 5(-3(-2e^(2((-3x - 3)/(-1x - 1))) + 3) - 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) = -2cos(3π(-3((-1(-4x - 3) + 1)/(2(-4x - 3) + 1))^2 + 2((-1(-4x - 3) + 1)/(2(-4x - 3) + 1)) - 5) + 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|(3((3(2x^2 + 5x + 3))/(-2(2x^2 + 5x + 3))) - 1) + 3| + 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) = -3(-1(-2sin(1π((-2x + 2)/(-3x + 2)) + 2) - 2) - 3)^2 + 2(-1(-2sin(1π((-2x + 2)/(-3x + 2)) + 2) - 2) - 3) - 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) = -3sin(3π((-3(-2x) + 3)/(3(-2x) - 2)) + 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) = 2cos(2π(-1|(-3x + 2) + 2| - 2) - 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) = -1|(-2sin(1π(4(-1x^2 + 5x + 2) - 2) + 2) - 2) - 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|(-4(4(1sin(3πx - 1) - 3) - 4)^2 + 5) - 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(-3cos(2π(4(1|x - 1| + 1) + 1) - 2) + 1) + 1)/(2(-3cos(2π(4(1|x - 1| + 1) + 1) - 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) = -1((-3(-5(-1sin(2πx + 3) - 3) + 2) + 2)/(2(-5(-1sin(2πx + 3) - 3) + 2) + 3))^2 + 2((-3(-5(-1sin(2πx + 3) - 3) + 2) + 2)/(2(-5(-1sin(2πx + 3) - 3) + 2) + 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(1π(-5(3((-2x)/(2x + 3)) - 1)^2 + 1(3((-2x)/(2x + 3)) - 1) - 4) - 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) = (-2(2|(1cos(1πx + 2) - 1) + 3| + 3) + 1)/(1(2|(1cos(1πx + 2) - 1) + 3| + 3) - 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) = -2sin(3π(-1|(1x) - 2| + 3) - 2) + 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) = -2sin(1π(-1((-2(1|x - 2| + 2) - 1)/(-1(1|x - 2| + 2) + 3)) + 3) - 2) - 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) = 2cos(2π(4(1|(-5x + 1) + 2| + 2)^2 + 1(1|(-5x + 1) + 2| + 2) - 5) - 1) + 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(3cos(2π((3(2|x + 3| - 1) - 3)/(-2(2|x + 3| - 1))) + 2) - 1)^2 - 5(3cos(2π((3(2|x + 3| - 1) - 3)/(-2(2|x + 3| - 1))) + 2) - 1) - 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) = 5(-3cos(1π(-1|x + 3| - 3) + 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|(-2e^(-1(1x^2 - 3x + 2)) + 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) = -5(1cos(2π((-3(3x^2 + 2x + 2) - 3)/(1(3x^2 + 2x + 2) - 2)) + 3) - 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) = -1(3(-1cos(2π(-2|x - 3| + 3) - 1) + 3) - 4)^2 + 2(3(-1cos(2π(-2|x - 3| + 3) - 1) + 3) - 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) = -1(2|(2cos(1π((2x - 1)/(-3x + 2)) + 1) + 2) + 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(-1e^(-1(4(2|x - 1| + 3) + 5)) + 3)^2 - 1(-1e^(-1(4(2|x - 1| + 3) + 5)) + 3) - 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(1π(-4x^2 + 4x - 5) - 2) + 2) - 3)/(-1(-2cos(1π(-4x^2 + 4x - 5) - 2) + 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) = -2sin(1π(1(-4x^2 + 5x + 5) - 3) + 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(-3cos(3π(5x^2 + 2x + 4) + 2) + 3) - 2)/(-2(-3cos(3π(5x^2 + 2x + 4) + 2) + 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) = (1(1|(1sin(2πx - 1) - 3) + 1| - 2) - 2)/(-3(1|(1sin(2πx - 1) - 3) + 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) = (3(-1(-3sin(1π(1|x| + 2) - 2) + 2)^2 + 3(-3sin(1π(1|x| + 2) - 2) + 2) - 4) + 1)/(-1(-1(-3sin(1π(1|x| + 2) - 2) + 2)^2 + 3(-3sin(1π(1|x| + 2) - 2) + 2) - 4) - 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(1π(2((1x - 1)/(-2x - 1)) - 4) + 3) - 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(2sin(1π(1(2|x - 3| + 3) + 2) + 2) - 1) + 1)/(-2(2sin(1π(1(2|x - 3| + 3) + 2) + 2) - 1) + 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(-2cos(1π(1|x - 2| - 2) - 1) - 3) - 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) = (2(3cos(2π(-5(-2x^2 - 3x - 5) + 5) - 3)) - 1)/(2(3cos(2π(-5(-2x^2 - 3x - 5) + 5) - 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) = -1sin(2π(5(1|x - 2| + 3)^2 - 1(1|x - 2| + 3) + 4) - 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) = -5(3cos(3π(5x + 5) + 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) = 2(-1cos(2π(2|x - 2|) + 2) - 3)^2 - 5(-1cos(2π(2|x - 2|) + 2) - 3) + 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) = 5(3sin(2π(-3|((-1x - 3)/(1x - 2))| + 1) + 1) - 3) + 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) = -3sin(3π(-5(5x^2 - 3x - 2) + 4) - 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(-1cos(1π(-2((2x)/(-3x - 1)) - 1) - 1))^2 + 3(-1cos(1π(-2((2x)/(-3x - 1)) - 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) = -1((2(3|(-1cos(3πx - 2) - 3) - 1| + 2) + 3)/(-1(3|(-1cos(3πx - 2) - 3) - 1| + 2) + 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) = 5(-3(1cos(2π(-3|x| - 2) - 1) + 2)^2 - 2(1cos(2π(-3|x| - 2) - 1) + 2) - 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) = 3(3|(-3cos(3πx + 2)) + 1| + 3)^2 - 4(3|(-3cos(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) = (2(-2sin(3π(-1(-2|x - 2|)^2 + 3(-2|x - 2|) - 2) - 3) + 1) - 2)/(-3(-2sin(3π(-1(-2|x - 2|)^2 + 3(-2|x - 2|) - 2) - 3) + 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(-4(3sin(2πx - 3) + 3) - 2) + 3)/(-2(-4(3sin(2πx - 3) + 3) - 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(1cos(1πx + 1) - 1) + 2)/(2(1cos(1πx + 1) - 1) + 1)) + 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|((3(-3cos(3πx - 3) - 3))/(-2(-3cos(3πx - 3) - 3) + 1)) - 1| + 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) = 3(3((-3(-2cos(2πx - 1) + 2) - 3)/(1(-2cos(2πx - 1) + 2) + 2)) - 1)^2 + 5(3((-3(-2cos(2πx - 1) + 2) - 3)/(1(-2cos(2πx - 1) + 2) + 2)) - 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((3(3e^(-2(2x - 4)) - 1) + 3)/(-1(3e^(-2(2x - 4)) - 1) + 3))^2 + 1((3(3e^(-2(2x - 4)) - 1) + 3)/(-1(3e^(-2(2x - 4)) - 1) + 3)) + 5 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(3πx) - 1) - 1)/(2(2cos(3πx) - 1) - 3))^2 + 5((-1(2cos(3πx) - 1) - 1)/(2(2cos(3πx) - 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) = 1(-1|(-5(-2cos(2πx + 3))^2 - 2(-2cos(2πx + 3)) - 5) + 1| + 2) + 4 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(2cos(2π(-2(-3x + 1)^2 - 1(-3x + 1)) - 2) - 1) - 1)/(1(2cos(2π(-2(-3x + 1)^2 - 1(-3x + 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) = 1sin(1π(2|(2x^2 - 5) - 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(1π(-4(-5x^2 + 1x + 4)) + 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) = -2sin(1π(-5(-5x + 1)^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) = 4((2(2cos(1πx)) - 2)/(3(2cos(1πx)) + 1))^2 + 2((2(2cos(1πx)) - 2)/(3(2cos(1πx)) + 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) = 1(-3e^(1(-3x + 1)) - 1)^2 - 2(-3e^(1(-3x + 1)) - 1) + 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((3(1cos(2π(1x^2 + 5x - 2) + 2) - 2) + 3)/(1(1cos(2π(1x^2 + 5x - 2) + 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) = -1sin(2π(-1(-5x + 2)^2 + 5(-5x + 2) + 2) + 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|(-1sin(3π(-1x + 5) - 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) = 1sin(2π(-2|(-3x + 4)| - 1) + 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) = (-2(3|(-2(-2cos(2πx + 3) + 2) + 2) - 2| - 2) - 3)/(1(3|(-2(-2cos(2πx + 3) + 2) + 2) - 2| - 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) = (2(2sin(3π(2(-3|x| + 3)^2 - 1(-3|x| + 3) - 1) - 2)) - 2)/(-3(2sin(3π(2(-3|x| + 3)^2 - 1(-3|x| + 3) - 1) - 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(1|(1cos(2π((2x + 1)/(1x + 3))) - 2) + 3| - 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) = 1cos(2π(-3|(-1x + 4) - 1| + 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) = (1(-2cos(2π(-3|x| + 3)) - 3) - 3)/(1(-2cos(2π(-3|x| + 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) = -3sin(2π(-5(3(1|x - 1| + 3)^2 - 5(1|x - 1| + 3) + 1) - 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(2|(1cos(1π((-2x)/(-1x - 2)) - 2) - 1)| + 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) = (-3(3(2|(-2cos(1πx + 1) + 3) + 1| - 3)) + 1)/(1(3(2|(-2cos(1πx + 1) + 3) + 1| - 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) = 3cos(1π(2|(-1x^2 - 2x - 3) - 1|)) + 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(3|(3cos(2πx) + 1) - 2| - 2) - 1)/(3(3|(3cos(2πx) + 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) = 1(2cos(1π(-2|x - 2| - 1)) + 2)^2 + 1(2cos(1π(-2|x - 2| - 1)) + 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) = 3sin(1π((3(-4x^2 + 4x + 4) - 3)/(1(-4x^2 + 4x + 4) + 2)) - 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) = 1((-2(2cos(1π(-2|x| + 1) + 2)) + 1)/(-3(2cos(1π(-2|x| + 1) + 2)) - 2))^2 + 2((-2(2cos(1π(-2|x| + 1) + 2)) + 1)/(-3(2cos(1π(-2|x| + 1) + 2)) - 2)) + 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(-2sin(2π((-3x + 1)/(1x))) + 3)^2 - 2(-2sin(2π((-3x + 1)/(1x))) + 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) = (1(3cos(2π(2x^2 + 3x - 2) + 2) - 1) - 2)/(2(3cos(2π(2x^2 + 3x - 2) + 2) - 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) = 2|(-4(3sin(1πx + 2) + 3)^2 - 1(3sin(1πx + 2) + 3) + 5)| + 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) = -3(-3(-3cos(1πx + 2) + 2)^2 - 3(-3cos(1πx + 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) = -3|(5(-3sin(2πx + 3) - 1)^2 + 5(-3sin(2πx + 3) - 1) + 1)| + 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) = (3(1|(-4(-2sin(2πx + 1) - 1)^2 - 2(-2sin(2πx + 1) - 1) - 5)| + 2) - 3)/(-1(1|(-4(-2sin(2πx + 1) - 1)^2 - 2(-2sin(2πx + 1) - 1) - 5)| + 2) + 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(-1(-2sin(1πx) - 3) - 1) - 3)/(3(-1(-2sin(1πx) - 3) - 1) - 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(-5(-3(1cos(3πx + 1) + 3)^2 + 3(1cos(3πx + 1) + 3) - 3) + 5) - 3)/(-3(-5(-3(1cos(3πx + 1) + 3)^2 + 3(1cos(3πx + 1) + 3) - 3) + 5) - 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) = 3(1cos(2π(1x + 1)) + 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) = -1sin(1π((3(2(4x + 4)^2 - 4) - 1)/(-2(2(4x + 4)^2 - 4))) + 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) = 4((-1(-3sin(3πx)))/(-3(-3sin(3πx)) - 2))^2 + 5((-1(-3sin(3πx)))/(-3(-3sin(3πx)) - 2)) - 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) = -2cos(2π(4(2|(-5x + 2) + 3| - 2)^2 - 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) = 3(-3|(3(1sin(2πx - 2) + 1) + 5) + 1| + 3)^2 - 4(-3|(3(1sin(2πx - 2) + 1) + 5) + 1| + 3) - 5 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(1π(-4(-1((-3x + 3)/(1x))^2 + 1((-3x + 3)/(1x)) + 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) = (-2(-5(1sin(1π(4x + 5) - 1) - 1)^2 + 1(1sin(1π(4x + 5) - 1) - 1) + 5) - 3)/(-2(-5(1sin(1π(4x + 5) - 1) - 1)^2 + 1(1sin(1π(4x + 5) - 1) - 1) + 5) + 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) = 3cos(1π(1((-1(2x + 3) + 3)/(1(2x + 3) - 2))^2 + 5((-1(2x + 3) + 3)/(1(2x + 3) - 2)) - 1) - 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|(1e^(2(1x - 5)) - 3) - 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|((1(-1cos(2π(-5x + 1) + 3) - 1) + 2)/(3(-1cos(2π(-5x + 1) + 3) - 1) - 2)) - 1| + 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) = 3sin(2π(-1|((1x + 3)/(1x)) + 3| - 1) - 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) = 4(-2(-2cos(2πx + 2)) - 4)^2 + 2(-2(-2cos(2πx + 2)) - 4) - 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) = 1(3(-3cos(3π(-3|x - 1| - 3) - 2)) + 4)^2 - 5(3(-3cos(3π(-3|x - 1| - 3) - 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|(-5(1(1cos(1πx + 2) + 1)^2 - 3(1cos(1πx + 2) + 1) - 5) + 2) - 1| + 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(3sin(1πx - 1) - 3) + 3)/(2(3sin(1πx - 1) - 3) + 2))^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) = 2cos(2π(4((-2(2|x|) + 3)/(2(2|x|) + 2)) + 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) = -1cos(2π((1(-4(-2|x - 1| + 3) + 4) + 3)/(3(-4(-2|x - 1| + 3) + 4) + 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) = (-1(-1|(2cos(1πx) + 1) + 3| - 3))/(1(-1|(2cos(1πx) + 1) + 3| - 3) + 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) = -4(1(2sin(2π(3|x - 1| + 3) + 2) - 1)^2 + 4(2sin(2π(3|x - 1| + 3) + 2) - 1) - 5) + 5 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(3x - 5)^2 + 1(3x - 5) + 4) - 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) = 2sin(3π(-1(-1|(-5x + 4) - 1| - 1)^2 + 3(-1|(-5x + 4) - 1| - 1) - 3) + 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) = 1cos(2π(3|(4x + 4) - 1| - 3) + 3) - 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|(-2(2sin(2πx - 3) - 2)^2 + 4(2sin(2πx - 3) - 2) - 5) - 3| - 1) + 1)/(1(-1|(-2(2sin(2πx - 3) - 2)^2 + 4(2sin(2πx - 3) - 2) - 5) - 3| - 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) = -1((1(-3sin(3πx + 2)) + 2)/(2(-3sin(3πx + 2)) + 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) = 2cos(3π(-3((2(2|x - 2|) - 2)/(-1(2|x - 2|) + 3)) + 1) - 3) + 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) = (-2(-3(-1e^(1(2x + 2)) + 1)^2 - 2(-1e^(1(2x + 2)) + 1) - 1) + 1)/(-1(-3(-1e^(1(2x + 2)) + 1)^2 - 2(-1e^(1(2x + 2)) + 1) - 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) = -5(2cos(3π((3(-1x + 4) - 1)/(3(-1x + 4) + 2)) + 2) - 3)^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) = (-2(-5(1cos(3πx - 3))^2 - 1(1cos(3πx - 3)) - 4) - 1)/(-2(-5(1cos(3πx - 3))^2 - 1(1cos(3πx - 3)) - 4) + 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((1(-2cos(2πx + 2) + 1) + 1)/(-1(-2cos(2πx + 2) + 1) - 2))^2 - 1((1(-2cos(2πx + 2) + 1) + 1)/(-1(-2cos(2πx + 2) + 1) - 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) = -3|(-4(-2cos(1π((-2x + 2)/(-3x))) - 2)^2 + 3(-2cos(1π((-2x + 2)/(-3x))) - 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) = 1cos(3π(-1|((1(-1x - 4) - 2)/(-3(-1x - 4) - 3)) - 1| + 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) = 2|(-4(-3sin(1πx + 2) + 3)) - 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) = 1sin(2π(-2((-3x - 1)/(-1x + 2))^2 - 5) + 2) - 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) = -5((-1(2cos(3π(4x) - 1)))/(2(2cos(3π(4x) - 1)) + 1))^2 - 2((-1(2cos(3π(4x) - 1)))/(2(2cos(3π(4x) - 1)) + 1)) - 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) = -1sin(3π(1|(-1((-1x - 1)/(3x + 2)) + 4) - 2| + 3) - 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) = -1(-3sin(3π(-5(-2|x - 3| + 2)^2 + 1(-2|x - 3| + 2) - 5) + 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) = (-3(1|(2x + 5)| + 3) - 3)/(2(1|(2x + 5)| + 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) = 4(2cos(1π(-3|(5x - 3) + 1| - 2) + 2) - 1)^2 - 2(2cos(1π(-3|(5x - 3) + 1| - 2) + 2) - 1) + 3 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|(1x - 2) + 1| - 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) = 1(3cos(3π(-1(-2|x - 3|)^2 + 3) - 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) = 4(3|(1sin(2πx + 2) - 1) - 3|) - 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) = -3(1sin(2π((-2x + 1)/(3x + 3)) - 2) - 2)^2 + 5(1sin(2π((-2x + 1)/(3x + 3)) - 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) = -2cos(2π((3(3|x - 3| + 2) + 2)/(-2(3|x - 3| + 2) + 3)) - 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) = 4((2(-1cos(2πx + 1)) - 3)/(-3(-1cos(2πx + 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) = -2|(2cos(1π((3x + 2)/(-3x + 4)) - 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(1π(-2(2|x - 1| + 1)^2 - 5(2|x - 1| + 1) - 4) - 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) = (-2(-1(1sin(2πx - 1) - 3) - 3) - 1)/(3(-1(1sin(2πx - 1) - 3) - 3) + 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) = 3(-3sin(3π((-2x + 3)/(-3x + 2)) + 2) + 3)^2 + 2(-3sin(3π((-2x + 3)/(-3x + 2)) + 2) + 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) = (3(2|(2cos(1πx + 1) + 1) - 2|) + 3)/(-2(2|(2cos(1πx + 1) + 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) = 1sin(1π(5(-1|(5x - 1) - 2| - 2)^2 - 4(-1|(5x - 1) - 2| - 2) - 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) = -4(-2cos(1π(-2|((-1x + 2)/(2x - 3))|) - 1) + 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) = -2(-3cos(1π((-1x + 2)/(3x - 2)) + 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(-4(-1cos(1πx) - 3)^2 - 3(-1cos(1πx) - 3) - 1) - 2)/(-3(-4(-1cos(1πx) - 3)^2 - 3(-1cos(1πx) - 3) - 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) = 1sin(2π((-3(-5x - 1) - 2)/(-2(-5x - 1) - 2)) - 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) = 3(-1cos(3π((3x - 1)/(-3x + 4)) + 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) = 2sin(2π((2(-1x^2 - 4x - 1) - 3)/(2(-1x^2 - 4x - 1) + 1)) + 3) - 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) = -3(-1cos(2π(3|((-2x + 3)/(-3x + 1)) - 2| + 2) - 3) + 1)^2 - 3(-1cos(2π(3|((-2x + 3)/(-3x + 1)) - 2| + 2) - 3) + 1) - 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) = -4(-3(2cos(3πx + 3) + 1)^2 - 5(2cos(3πx + 3) + 1) - 5) + 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) = (-3(-1|(2e^(1(-2x^2 + 4x + 3)) + 1) - 1| - 2) + 1)/(1(-1|(2e^(1(-2x^2 + 4x + 3)) + 1) - 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) = 5(-2sin(2π(-1|x - 2| + 3) - 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) = -3cos(1π(-1(2x)^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(4(2sin(3π(2x^2 + 4x - 4)) + 3) - 1))/(3(4(2sin(3π(2x^2 + 4x - 4)) + 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) = -5(-3cos(3π((-2(2x^2 - 4x - 3) + 3)/(3(2x^2 - 4x - 3) + 1))) + 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) = 4((-2(-5(-3cos(2πx - 3) - 2)^2 + 3(-3cos(2πx - 3) - 2) - 1) - 2)/(-3(-5(-3cos(2πx - 3) - 2)^2 + 3(-3cos(2πx - 3) - 2) - 1) + 4)) + 4 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(-3cos(3π(-3|x + 3| + 3) + 1) - 3)^2 - 1(-3cos(3π(-3|x + 3| + 3) + 1) - 3) + 1) + 3)/(2(-1(-3cos(3π(-3|x + 3| + 3) + 1) - 3)^2 - 1(-3cos(3π(-3|x + 3| + 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) = 2cos(3π((-3(5x + 1) - 3)/(-1(5x + 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)/(3x + 2))^2 + 5((-2x)/(3x + 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) = 4(-2sin(1π((1x + 2)/(3x - 2)) + 2) - 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) = -1cos(2π(2(-1((3x + 1)/(-2x + 3)))^2 + 5(-1((3x + 1)/(-2x + 3))) + 5) - 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) = (-3(-2cos(1π(-4(3|x - 1| + 1) + 5) + 1)) + 1)/(-3(-2cos(1π(-4(3|x - 1| + 1) + 5) + 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((3(-4(-3cos(1πx) + 3)^2 + 4(-3cos(1πx) + 3) - 3) - 3)/(1(-4(-3cos(1πx) + 3)^2 + 4(-3cos(1πx) + 3) - 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|(2(2sin(3π((-2x + 1)/(-2x - 1)) - 1) + 2)^2 + 3(2sin(3π((-2x + 1)/(-2x - 1)) - 1) + 2) + 3) - 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) = 2(2sin(2π(-2|(-5x + 3) + 2| + 3) + 2) - 1)^2 + 4(2sin(2π(-2|(-5x + 3) + 2| + 3) + 2) - 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) = 3|((2(-3(1sin(3πx - 1) + 1)^2 + 3(1sin(3πx - 1) + 1) + 2) - 3)/(2(-3(1sin(3πx - 1) + 1)^2 + 3(1sin(3πx - 1) + 1) + 2) + 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) = 1cos(3π(-2|((-2x - 1)/(2x + 2)) - 1| + 1) - 1) + 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(1sin(2π(1|(2x^2 + 1x - 5)| - 2) - 3) + 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) = 3(-2|(-2cos(3π(-5x^2 - 1x - 5) - 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) = -2sin(1π((3(-2(-1x + 1)^2 - 2(-1x + 1) + 1) - 1)/(3(-2(-1x + 1)^2 - 2(-1x + 1) + 1) + 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) = -1|(-2(2cos(1πx) + 3) - 4) - 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) = 2cos(2π(-1(-2x^2 + 4x - 3)) - 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(1(-2cos(3π(3|x + 1|) - 1)) - 1)^2 + 5(1(-2cos(3π(3|x + 1|) - 1)) - 1) - 5 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(2|(1x + 5) - 1|)^2 + 5(2|(1x + 5) - 1|) - 5) + 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) = 2(-2sin(2π((-2x - 1)/(3x + 1)) + 3) - 2)^2 + 5(-2sin(2π((-2x - 1)/(3x + 1)) + 3) - 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) = (3(-1(4(3cos(3πx + 2) - 3) - 2)^2 + 4(4(3cos(3πx + 2) - 3) - 2)) + 1)/(1(-1(4(3cos(3πx + 2) - 3) - 2)^2 + 4(4(3cos(3πx + 2) - 3) - 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(3π(4(3x - 1)^2 + 3(3x - 1) + 1) - 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) = (3(-3sin(3π(-1|(5x + 2) - 3| - 2) - 2)) + 2)/(-1(-3sin(3π(-1|(5x + 2) - 3| - 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(-5(2|(-3cos(3πx + 2) - 1) - 2| - 2)^2 - 2(2|(-3cos(3πx + 2) - 1) - 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) = -3|((1(3cos(2πx - 1) - 3) - 3)/(-3(3cos(2πx - 1) - 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) = 1(-3sin(3π(-3x + 4) + 3) - 3)^2 + 1(-3sin(3π(-3x + 4) + 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) = -2cos(3π(-5(3|x - 3| - 2) - 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(3|(5(1cos(2πx) + 1)^2 - 3(1cos(2πx) + 1) + 2) + 3|) - 3)/(-3(3|(5(1cos(2πx) + 1)^2 - 3(1cos(2πx) + 1) + 2) + 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) = -1|(1cos(2π((1(4x + 1) - 1)/(-1(4x + 1))))) + 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) = -1sin(2π(-1(2|(4x^2 + 3x + 2) + 2| - 1) - 1) - 2) + 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) = -4((3(-2|(2cos(2πx - 3) - 2) - 2|) - 3)/(-2(-2|(2cos(2πx - 3) - 2) - 2|) + 3))^2 + 2((3(-2|(2cos(2πx - 3) - 2) - 2|) - 3)/(-2(-2|(2cos(2πx - 3) - 2) - 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) = 1sin(2π(1|(4((-1x + 2)/(-2x - 3)) - 4) - 1| + 2) - 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) = 2cos(3π(-2(-1|((-2x - 1)/(2x - 1))| - 3) - 3) - 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) = -1cos(2π(2(1x^2 - 2x + 2) + 1) - 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) = (-3(5(-2|(3cos(1πx - 3)) + 3| - 3)^2 - 1(-2|(3cos(1πx - 3)) + 3| - 3) + 3) - 2)/(-2(5(-2|(3cos(1πx - 3)) + 3| - 3)^2 - 1(-2|(3cos(1πx - 3)) + 3| - 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) = -2cos(2π((-2(-5x^2 + 4x + 5) + 2)/(3(-5x^2 + 4x + 5))) + 3) - 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) = -1sin(1π(-2(4(-3|x - 1|)^2 - 5(-3|x - 1|) - 2) + 4) + 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) = 1cos(1π(-4((-1x + 1)/(1x)) + 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) = 1sin(3π(-5(1|x - 3| + 3) + 4) - 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) = 5(3cos(1π(-5x + 3) + 2) + 3)^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) = 1(5(-2cos(2πx) + 2) + 4)^2 - 2(5(-2cos(2πx) + 2) + 4) - 5 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|(-1cos(3π(4x^2 + 3x - 5)) + 2) + 2| - 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((-2(1cos(1πx + 3) + 2) + 1)/(-2(1cos(1πx + 3) + 2))) + 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((-3(3|(4x^2 - 5x + 3) - 3|) + 2)/(3(3|(4x^2 - 5x + 3) - 3|) - 1)) + 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) = -4(1cos(1π(2((-2x + 3)/(2x))^2 - 3((-2x + 3)/(2x)) - 1) + 1) + 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) = -5(-2|(3sin(3πx) - 2) + 2| - 1)^2 - 2(-2|(3sin(3πx) - 2) + 2| - 1) + 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) = (3(-1e^(-2(4x - 5)) + 3) - 3)/(-1(-1e^(-2(4x - 5)) + 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) = 3(3cos(2π(2((2x - 3)/(-3x + 1)) + 3) + 1))^2 - 1(3cos(2π(2((2x - 3)/(-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) = -1cos(2π((2(1x - 3))/(2(1x - 3) + 2)) + 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(-2|(1cos(3πx - 2) - 2) + 3|)^2 - 3(-2|(1cos(3πx - 2) - 2) + 3|) - 5 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|(3cos(3π((-3x)/(-2x - 3))) - 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) = 2sin(1π(-3|(-1x^2 - 2x - 3) + 3| - 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) = -2|(-2cos(2π((-3(4x + 2) - 3)/(-2(4x + 2) - 3)) + 2) - 1) + 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) = (-3(5(2cos(3πx + 2) - 1) + 3) + 1)/(-3(5(2cos(3πx + 2) - 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) = 3|(-3(-1cos(1π((2x + 2)/(-2x)) - 2) - 2) - 5) + 3| + 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) = (3(-1|(1cos(3πx + 1) + 2) - 1| - 2) + 2)/(-2(-1|(1cos(3πx + 1) + 2) - 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) = 4(1cos(3π((-1(1x + 5))/(2(1x + 5) - 1))))^2 - 1(1cos(3π((-1(1x + 5))/(2(1x + 5) - 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) = 5(3|(3cos(1π((2x - 2)/(2x - 1)) - 2))|)^2 + 4(3|(3cos(1π((2x - 2)/(2x - 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) = 1sin(1π(-4(4x^2 + 2x - 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) = -3sin(1π(-3|(5x - 5)| - 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) = 2cos(1π(-2|(-3x^2 - 1x + 4)| - 1)) + 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(-3cos(3π(1x - 4) + 2) + 1) - 2)/(3(-3cos(3π(1x - 4) + 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) = 4(-5((2(-1cos(1πx - 2) + 2) - 2)/(-2(-1cos(1πx - 2) + 2) + 1))^2 - 1((2(-1cos(1πx - 2) + 2) - 2)/(-2(-1cos(1πx - 2) + 2) + 1)) + 3) - 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) = -3cos(2π(2|((-1x + 2)/(-1x - 2)) - 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) = (-3(-2|(2e^(-2(-5x + 2)) + 1) - 3|))/(1(-2|(2e^(-2(-5x + 2)) + 1) - 3|) + 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(-1sin(1π(2|x + 2|) - 3) + 3) - 3)/(-1(-1sin(1π(2|x + 2|) - 3) + 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|(-1(2sin(1π(3x^2 + 1x - 1) + 3) - 3)) - 2| - 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(1cos(3π((-3(4x + 3) + 3)/(-2(4x + 3) + 3)) - 2) + 3)^2 - 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(1|(3cos(3πx - 1) - 2) - 2|)^2 - 1(1|(3cos(3πx - 1) - 2) - 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) = 1|(2(-1sin(3π((-1x - 2)/(2x - 3))) + 1) - 5) - 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) = 3sin(2π(2(-3|((-2x - 2)/(1x)) + 2| + 2)^2 - 1(-3|((-2x - 2)/(1x)) + 2| + 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) = -1sin(2π(3((1x)/(-2x + 3)) - 5) - 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) = 2|(2cos(2π((-1(-5x) + 2)/(-1(-5x) - 3)) + 3)) - 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(-1sin(3π(-1(-3|x| + 1) - 2) - 1) + 1))/(-2(-1sin(3π(-1(-3|x| + 1) - 2) - 1) + 1) + 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) = (-1(-1(2|(1cos(3πx + 3) + 1) + 1| - 3) - 1) - 2)/(2(-1(2|(1cos(3πx + 3) + 1) + 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) = -5(1sin(3π(2(-1|x - 3| + 2) - 3) + 3) - 3)^2 + 5(1sin(3π(2(-1|x - 3| + 2) - 3) + 3) - 3) + 5 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|((-2(2cos(2πx + 3) + 1) + 2)/(-3(2cos(2πx + 3) + 1) - 3)) + 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) = -2(2sin(2π(-3|x + 3| - 2) + 3) - 1)^2 - 2(2sin(2π(-3|x + 3| - 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) = 3cos(2π(5(3|x + 3| + 2)^2 - 2(3|x + 3| + 2) - 5) + 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) = -3sin(3π(2|(-1x^2 + 4x - 4) + 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|(-2(2cos(2π(-4x + 3) - 2) - 3)^2 - 2(2cos(2π(-4x + 3) - 2) - 3) - 2) - 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) = (2(-1|(3sin(1πx - 3) - 3)| + 3) + 2)/(2(-1|(3sin(1πx - 3) - 3)| + 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) = -1cos(2π(-2|(-2x - 1) - 1| + 2) + 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) = -1sin(3π((1(-2|(-5x^2 - 1x) + 1| + 3) - 3)/(2(-2|(-5x^2 - 1x) + 1| + 3) - 1))) + 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) = -4((-1(-5(1e^(-2x) + 2)^2 - 5(1e^(-2x) + 2) - 5) - 3)/(-3(-5(1e^(-2x) + 2)^2 - 5(1e^(-2x) + 2) - 5) + 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|(4(-2sin(2πx + 3) - 1) + 5)| - 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) = 2(-1|(2(-3sin(3πx - 2) + 3)^2 - 1(-3sin(3πx - 2) + 3) - 1) + 2| + 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) = (-1(-3cos(2π(1(2|x - 1| - 3) - 5) - 2) + 2) - 3)/(-3(-3cos(2π(1(2|x - 1| - 3) - 5) - 2) + 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(3π(-5x + 4) + 1) + 3) + 2)/(3(1cos(3π(-5x + 4) + 1) + 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(-4(2cos(2π(3x^2 - 5x - 2) + 3) - 3) + 1) - 2)/(2(-4(2cos(2π(3x^2 - 5x - 2) + 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 minimum points for f(x) = -2(1|(2sin(3πx - 3) - 3) - 3| - 2) - 4 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(3π(5(3|x| - 3)^2 + 2(3|x| - 3) + 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) = 1((-3(-2cos(1π(2|x + 1| - 3) + 2) + 1) - 2)/(1(-2cos(1π(2|x + 1| - 3) + 2) + 1) - 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) = -2|((-3(-3sin(1πx + 1) + 1) - 1)/(1(-3sin(1πx + 1) + 1) + 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) = -1sin(1π(2|(2x^2 - 4x) - 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) = 1(3(1sin(3πx - 2) - 1)^2 - 3(1sin(3πx - 2) - 1) + 4) + 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) = -3(3cos(3π((-3x + 3)/(-1x - 3)) - 3) - 1) + 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) = -2sin(1π(4((1x + 1)/(3x - 2))^2 + 1((1x + 1)/(3x - 2)) + 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) = -2cos(3π(-1(-1|x - 2| - 1)^2 + 2(-1|x - 2| - 1) + 5) + 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) = -3cos(1π(3|((2(2x + 2))/(-2(2x + 2) - 2)) - 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) = -2sin(1π((3(3|(1x^2 - 4x - 3) + 1| - 1) - 1)/(-2(3|(1x^2 - 4x - 3) + 1| - 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) = -2cos(2π(-1|(-1x - 2) - 3|) + 1) + 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(-3sin(3π(-3x^2 - 2x + 1) + 1)) + 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(3π(1(2|x - 2|) - 3) - 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) = 1sin(1π(4(1|(-5x + 1)| - 3)^2 - 3(1|(-5x + 1)| - 3) + 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) = -3(2((-3(-1sin(1πx + 3)) + 3)/(-3(-1sin(1πx + 3)) + 2)) + 2)^2 + 3(2((-3(-1sin(1πx + 3)) + 3)/(-3(-1sin(1πx + 3)) + 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) = -1|(2(5(3cos(3πx + 3) - 1) + 2)^2 - 1(5(3cos(3πx + 3) - 1) + 2) + 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) = (1(2|(-2sin(1πx + 2) - 1) + 3| + 2) + 3)/(-1(2|(-2sin(1πx + 2) - 1) + 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(3(1|((2x + 2)/(-3x - 3)) + 1|)^2 - 5(1|((2x + 2)/(-3x - 3)) + 1|) - 1) - 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(-3|(3cos(3πx - 3) - 1) + 3| + 3)^2 + 3(-3|(3cos(3πx - 3) - 1) + 3| + 3) - 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) = -3(-2sin(2π(-1|(-3x - 1) + 2| - 1) - 3) - 2)^2 + 2(-2sin(2π(-1|(-3x - 1) + 2| - 1) - 3) - 2) + 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(2π(-5x^2 + 1x + 1) - 2) - 1) - 2| - 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(-4(-1cos(1π(-1x^2 + 1x + 3) + 3) - 3) + 4) - 2)/(3(-4(-1cos(1π(-1x^2 + 1x + 3) + 3) - 3) + 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) = -2cos(1π(3((-1x - 2)/(3x - 2))^2 - 5((-1x - 2)/(3x - 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) = -2|(2cos(1π(1(1x - 3)^2 + 4(1x - 3)) + 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) = -1|(1sin(2π((-3x - 3)/(1x)) - 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) = -1(3|(-2sin(3π(4x^2 - 1x - 5) + 3) + 2) + 3| + 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) = -5(-2cos(3π((2(-1x + 5))/(-2(-1x + 5) - 2))) + 2)^2 - 1(-2cos(3π((2(-1x + 5))/(-2(-1x + 5) - 2))) + 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) = -3(1sin(3π((-3x)/(-1x + 2)) - 2) + 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) = -1(-3sin(3π((2x - 2)/(2x - 3)) - 1) + 2) + 4 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(3cos(2π(-1(-2|x - 3| - 2)^2 + 2(-2|x - 3| - 2) - 2)) + 3) + 3)/(1(3cos(2π(-1(-2|x - 3| - 2)^2 + 2(-2|x - 3| - 2) - 2)) + 3) + 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) = 2|((3(-1e^(1(-5x^2 - 1x - 1)) + 3))/(1(-1e^(1(-5x^2 - 1x - 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) = -1cos(2π(-1((2(3|x - 2| + 1) + 2)/(-2(3|x - 2| + 1) - 1))^2 + 5((2(3|x - 2| + 1) + 2)/(-2(3|x - 2| + 1) - 1)) - 3) - 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(-2(-1x - 5)^2 + 5) + 3)/(1(-2(-1x - 5)^2 + 5) + 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) = (-2(1sin(2π(-2x + 1) + 1)) - 2)/(3(1sin(2π(-2x + 1) + 1)) - 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) = 2sin(2π((-3(1|(-4x^2 + 2x + 4) - 3| - 2) + 2)/(-2(1|(-4x^2 + 2x + 4) - 3| - 2) - 3)) + 3) + 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) = -1|(-2cos(1π(4((1x)/(1x + 1))^2 + 3((1x)/(1x + 1)) - 3) - 2) - 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(-1cos(1π(1|x - 1| - 3) + 3)) + 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) = -2cos(2π(2(1|x + 1| + 1)^2 + 3(1|x + 1| + 1) + 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) = -5(-1|(-2sin(1πx + 1))| + 2)^2 - 4(-1|(-2sin(1πx + 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(1cos(2πx - 1) + 3) - 5) + 1)/(2(-1(1cos(2πx - 1) + 3) - 5) - 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) = -1(2|(1sin(2πx - 2) + 2) + 3| - 2)^2 - 1(2|(1sin(2πx - 2) + 2) + 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) = -3sin(2π(-4((2x)/(3x + 2))^2 - 3((2x)/(3x + 2)) - 5) - 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|((-1(3(3x^2 - 3x - 4) - 4) - 1)/(-3(3(3x^2 - 3x - 4) - 4) - 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(2cos(1π(1|((-2x + 3)/(-2x - 3)) + 3| - 3)) + 3) + 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) = 1sin(1π(5(3|x + 3|) + 4) + 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) = 3(-1(-1|(2cos(3πx + 2)) + 3| + 2)^2 + 2(-1|(2cos(3πx + 2)) + 3| + 2)) + 5 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(1π(-1(1|((-2x)/(2x - 3)) - 3| + 3)^2) + 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) = 2(3(1cos(3πx) - 1)^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) = -4((2(-2|(-2cos(2πx + 2) + 2) - 3| - 3))/(-2(-2|(-2cos(2πx + 2) + 2) - 3| - 3) - 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) = -3cos(3π(3|(-1x) - 2| - 1) - 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|((1(-1sin(1πx - 3) - 1) - 3)/(3(-1sin(1πx - 3) - 1) + 3)) - 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) = -3|(5(-2(-3sin(2πx + 2) - 1) - 1)^2 - 1(-2(-3sin(2πx + 2) - 1) - 1) - 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) = -1sin(2π(5(-2x^2 - 4x - 4) - 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(4(-3sin(3π(1x + 4) + 3))^2 + 2(-3sin(3π(1x + 4) + 3))) + 3)/(2(4(-3sin(3π(1x + 4) + 3))^2 + 2(-3sin(3π(1x + 4) + 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(1|((1(-2sin(1πx - 2) + 2))/(3(-2sin(1πx - 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) = 1cos(3π((2(-4x^2 - 5x + 4) - 2)/(1(-4x^2 - 5x + 4)))) + 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(1π((1(-1x - 1) + 3)/(-3(-1x - 1) + 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) = -1|(-3cos(2π(-2x + 1) + 2)) - 1| - 3 where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = -3sin(3π((-2(1(2x^2 - 2x) - 5))/(-1(1(2x^2 - 2x) - 5) + 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) = 2|(2sin(1π(1x^2 + 2x + 4) + 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|((1(1(1cos(1πx - 3) - 3) - 4) - 2)/(2(1(1cos(1πx - 3) - 3) - 4))) - 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) = 5(-2cos(3π((-3x + 1)/(3x - 2)) + 3))^2 - 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) = -1cos(2π(1|(-5x + 5) - 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) = -2cos(1π(3|((2x - 1)/(3x + 2)) - 3| + 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) = 1(-4(-2cos(1πx - 3) - 1)^2 - 1(-2cos(1πx - 3) - 1) - 4) + 5 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(3cos(3π(3|x + 2| + 1) - 3) - 1) + 2)/(-2(3cos(3π(3|x + 2| + 1) - 3) - 1) + 3) where -10 ≤ x ≤ 10.

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


[User]
How many local minima does the function f(x) = 4(-3|((2(1sin(1πx) - 2) - 3)/(-3(1sin(1πx) - 2) - 2)) + 3| + 3)^2 + 3(-3|((2(1sin(1πx) - 2) - 3)/(-3(1sin(1πx) - 2) - 2)) + 3| + 3) - 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) = -1|(-1sin(3π(5x - 1) - 1)) + 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) = 1(3|(2cos(3π((-3x - 3)/(-3x + 1))) - 3) + 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) = -4(1|(-1(-3cos(1πx - 1) - 2)^2 + 5(-3cos(1πx - 1) - 2) - 5) + 1| + 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) = 5(-2cos(2π(1x^2 + 5x - 4) + 2) - 1) + 5 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(-3(1sin(3π(-2x^2 + 1x - 5) - 3) + 3) - 3) - 1)/(2(-3(1sin(3π(-2x^2 + 1x - 5) - 3) + 3) - 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) = -4(-3(2cos(1π((1x - 2)/(1x))) - 3)^2 + 4(2cos(1π((1x - 2)/(1x))) - 3) + 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) = -1sin(3π(1((-2(-3x^2 + 4) + 3)/(1(-3x^2 + 4))) - 5) + 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) = -3(1|((1(1sin(2πx) + 2) - 3)/(3(1sin(2πx) + 2) + 1))| - 3)^2 + 3(1|((1(1sin(2πx) + 2) - 3)/(3(1sin(2πx) + 2) + 1))| - 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) = 2sin(3π(-1((-3(5x - 1) + 3)/(1(5x - 1) + 1))^2 - 5((-3(5x - 1) + 3)/(1(5x - 1) + 1)) + 5) + 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) = -5(-1sin(1π(1|((-2x - 1)/(-1x + 2)) - 1| + 2) + 1) + 2)^2 - 3(-1sin(1π(1|((-2x - 1)/(-1x + 2)) - 1| + 2) + 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) = -2|(-1cos(3π(-4(3x^2 - 5x) + 5) - 1) + 3) - 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) = -2|(-1sin(2π(3x - 5) + 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) = 1(1sin(2π((-2x)/(2x + 2)) - 2) - 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) = -2sin(3π(-2(-3x^2 + 1x - 1) + 5) + 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) = (2(3(-3(3sin(3πx - 1) + 3) - 1)^2 - 3) - 2)/(3(3(-3(3sin(3πx - 1) + 3) - 1)^2 - 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) = -2((-1(-1sin(2π(-3x - 4) - 1) - 3))/(-1(-1sin(2π(-3x - 4) - 1) - 3) + 2))^2 + 2((-1(-1sin(2π(-3x - 4) - 1) - 3))/(-1(-1sin(2π(-3x - 4) - 1) - 3) + 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) = (3(-1|(-2sin(2πx + 1) + 1) - 2| + 3) + 2)/(-3(-1|(-2sin(2πx + 1) + 1) - 2| + 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) = -2cos(1π(-4(-2|x + 1| + 3) - 1)) + 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) = -1cos(3π((-2(-3x^2 - 3x + 3) + 3)/(-3(-3x^2 - 3x + 3) - 2)) + 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(2|(-1cos(3πx - 1) + 2) - 2| + 2) - 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) = -2cos(1π(3|(-3x + 2) + 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) = 5(1|(3sin(1π(-4x^2 - 2x - 3) - 1) + 1) + 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) = -1sin(1π(1|(3x + 4) + 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) = -1|(-3(-3cos(1π((-2x - 1)/(1x - 3)))) - 1) - 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) = (-3(-2(-1cos(1πx - 1) + 2) - 3) + 1)/(1(-2(-1cos(1πx - 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) = -2cos(2π(-4(5((1x)/(3x - 2))^2 - 2((1x)/(3x - 2)) + 4) + 5) - 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) = (1(3(-1(-3e^(-2x) - 2) + 3)^2 + 4(-1(-3e^(-2x) - 2) + 3) - 5) - 3)/(3(3(-1(-3e^(-2x) - 2) + 3)^2 + 4(-1(-3e^(-2x) - 2) + 3) - 5) + 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) = 1(2sin(1π(-1x + 1) - 2) + 3)^2 + 4(2sin(1π(-1x + 1) - 2) + 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) = -2|(2cos(1π(5x - 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) = 3(5(-1|(1cos(2πx - 2) + 2) - 3| + 2)^2 + 5(-1|(1cos(2πx - 2) + 2) - 3| + 2) - 1) + 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) = 3(-1(2sin(2π(3|x - 3| + 1) - 1))^2 + 2(2sin(2π(3|x - 3| + 1) - 1)) + 2) + 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) = (-2(3(2cos(3π(-1|x|) - 3) + 2)^2 - 5(2cos(3π(-1|x|) - 3) + 2) - 5) + 3)/(-3(3(2cos(3π(-1|x|) - 3) + 2)^2 - 5(2cos(3π(-1|x|) - 3) + 2) - 5) - 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) = (3(3sin(1π(-5x^2 + 3x) + 3) - 3) + 2)/(-1(3sin(1π(-5x^2 + 3x) + 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|(1cos(1π(-1x - 4)) - 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(3π(3|((-3x - 2)/(-1x + 3)) + 1| + 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) = (-3(-5(1cos(2π(-5x)))^2 + 5(1cos(2π(-5x))) - 2))/(3(-5(1cos(2π(-5x)))^2 + 5(1cos(2π(-5x))) - 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) = (1(2sin(3π(5(1|x + 3| - 3)^2 - 3(1|x + 3| - 3) + 2)) + 2))/(-3(2sin(3π(5(1|x + 3| - 3)^2 - 3(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 minima for the function f(x) = -2cos(1π(-3|(4((-2x + 3)/(1x + 1)) - 2) - 3| + 2) + 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) = -5(2|(-2sin(2πx + 2) + 1) - 3| + 3)^2 + 4(2|(-2sin(2πx + 2) + 1) - 3| + 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) = 4(1((1(1cos(1πx + 3) + 2) - 3)/(-2(1cos(1πx + 3) + 2) - 3))^2 + 5((1(1cos(1πx + 3) + 2) - 3)/(-2(1cos(1πx + 3) + 2) - 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) = 3cos(1π(3|(-1((-2x + 3)/(-3x - 1)) + 3) - 1| - 1) - 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) = -3(-2(2sin(3πx - 3) - 2) + 3)^2 - 4(-2(2sin(3πx - 3) - 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) = (-3(3cos(1π(-3x - 1) + 1) + 1) + 1)/(3(3cos(1π(-3x - 1) + 1) + 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) = 1cos(3π(-2|((1(2x^2 + 5x - 4) - 1)/(1(2x^2 + 5x - 4))) + 1| + 3) + 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) = 4(-1sin(1π(3|((-2x + 1)/(3x + 3)) - 3| + 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) = 1|(2(-1cos(2π(-2x^2 - 2x - 4) - 2) + 3) - 5) + 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) = 2cos(3π(-2(-1x^2 + 3x + 3)) + 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(-2|(2sin(2π((2x - 1)/(-1x - 1)) + 1) - 1) - 3| - 1) + 5 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(-1cos(1πx) - 2) - 3)/(1(-1cos(1πx) - 2) - 2)) + 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|(2(-3sin(1πx - 3) - 3) + 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) = 1|(-4(1sin(3π(3x + 4) + 2) - 3)^2 + 1(1sin(3π(3x + 4) + 2) - 3) + 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) = 3sin(2π(4(1|(-1x - 4)|)^2 - 2(1|(-1x - 4)|) + 5) + 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|((1(3cos(3π(-5x) + 1) + 1) + 3)/(-1(3cos(3π(-5x) + 1) + 1) - 2)) - 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) = (-1(-3|(1cos(2πx + 1) - 2) - 2| - 1) - 1)/(-3(-3|(1cos(2πx + 1) - 2) - 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) = -1sin(3π(3|(-4x - 4) - 3| + 2) - 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) = 1(1|(3cos(3π((-2x - 3)/(1x)) + 1) + 3) + 3| - 1)^2 + 3(1|(3cos(3π((-2x - 3)/(1x)) + 1) + 3) + 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) = -3sin(1π(3|(-1x + 1)| - 2) - 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) = 3sin(2π(1|(-1x + 4) - 3| - 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) = -2sin(1π(-1|(4((3x + 2)/(-1x - 3))^2 - 1((3x + 2)/(-1x - 3)) + 5) + 2| - 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) = 1sin(2π(-1((-1(-1x + 3) - 2)/(1(-1x + 3) + 3))^2 + 1((-1(-1x + 3) - 2)/(1(-1x + 3) + 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) = -3|((-3(3sin(1π(-4x^2 + 3x - 2) - 1) + 1) - 3)/(2(3sin(1π(-4x^2 + 3x - 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) = -1(2|(-1sin(2πx + 3) - 2) - 3| + 1)^2 - 2(2|(-1sin(2πx + 3) - 2) - 3| + 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) = 3|(-1(2(1sin(2πx + 1) + 2) - 2)^2 + 2) - 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) = -2sin(1π(3(-2(3|x + 3| + 2)^2 - 2(3|x + 3| + 2) + 3) - 4) + 1) - 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(-2sin(2π(1(-3|x + 1| - 1) - 5) + 1) - 2) - 1)/(1(-2sin(2π(1(-3|x + 1| - 1) - 5) + 1) - 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) = 4(-3sin(3π(-3|x + 2| + 2) + 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(-1cos(1π(1|x - 2| - 2) - 3) - 2))/(-2(-1cos(1π(1|x - 2| - 2) - 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) = 3|(-3cos(3π(3x^2 - 2x + 3) + 3) + 1) + 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) = -3(2cos(3π(-5(-3|x - 2| + 3) + 1) + 3) + 2)^2 - 4(2cos(3π(-5(-3|x - 2| + 3) + 1) + 3) + 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) = -4(-3(-3cos(1πx - 1) + 3) + 2)^2 + 2(-3(-3cos(1πx - 1) + 3) + 2) - 3 in the interval [-10, 10].

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

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

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

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

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

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

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

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

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

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