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

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


[User]
Find the total number of local minima and maxima for f(x) = -3((-3(2(-1sin(3πx + 2) + 3) + 2) - 3)/(-2(2(-1sin(3πx + 2) + 3) + 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) = -2sin(3π((2((-2(1|x + 2| + 3))/(-2(1|x + 2| + 3) + 1)))/(2((-2(1|x + 2| + 3))/(-2(1|x + 2| + 3) + 1)) - 3))) - 1 have in the interval [-10, 10]?

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the total number of local minima and maxima for f(x) = (2(-2|(-5(1sin(2πx - 2) - 2)^2 - 2(1sin(2πx - 2) - 2) + 2) + 2|) + 1)/(3(-2|(-5(1sin(2πx - 2) - 2)^2 - 2(1sin(2πx - 2) - 2) + 2) + 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) = (-1(-1|(3(2sin(3πx - 1))^2 - 2(2sin(3πx - 1)) - 5) - 3| - 1) + 1)/(1(-1|(3(2sin(3πx - 1))^2 - 2(2sin(3πx - 1)) - 5) - 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) = -1|(3(3cos(3π(-2x^2 - 2x) - 1) - 3)^2 - 4(3cos(3π(-2x^2 - 2x) - 1) - 3) + 5) + 2| - 2 in the interval [-10, 10].

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the number of local minimum points for f(x) = 2cos(2π(4((2(-5x + 2) + 2)/(1(-5x + 2) - 3)) + 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) = (3(1((1(1x^2 - 2))/(-3(1x^2 - 2) - 3))^2 - 5((1(1x^2 - 2))/(-3(1x^2 - 2) - 3)) + 4) + 1)/(3(1((1(1x^2 - 2))/(-3(1x^2 - 2) - 3))^2 - 5((1(1x^2 - 2))/(-3(1x^2 - 2) - 3)) + 4) + 3) have in the interval [-10, 10]?

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the number of local minimum points for f(x) = -1(-3(-3|(1sin(2πx + 2) - 2) + 3| + 1)^2 - 3(-3|(1sin(2πx + 2) - 2) + 3| + 1) - 3) - 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(1π(2(-2|x - 1| + 3) - 5) - 2) + 3) - 2)/(1(1cos(1π(2(-2|x - 1| + 3) - 5) - 2) + 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(-2cos(1π(1|(-3x^2 + 1x + 1) - 3| + 3) + 3) + 3)^2 + 2 have in the interval [-10, 10]?

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


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

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


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

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


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

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


[User]
Find the total number of local minima and maxima for f(x) = -1((2(-5(-3cos(2πx + 3))^2 - 3(-3cos(2πx + 3)) - 3) - 2)/(1(-5(-3cos(2πx + 3))^2 - 3(-3cos(2πx + 3)) - 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) = 2|(3(-3|(-2cos(3πx - 2) + 1) - 1| + 2)^2 + 1(-3|(-2cos(3πx - 2) + 1) - 1| + 2) + 5) + 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) = -5(2cos(1π(-3(-5x^2 + 1x + 5)^2 - 5(-5x^2 + 1x + 5) - 4) - 2) - 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(-2|(-2sin(2π(-1x) - 2)) - 3| + 3) + 1)/(-1(-2|(-2sin(2π(-1x) - 2)) - 3| + 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|(-2|(-1cos(2π(1|x - 1| + 1)) + 2) + 1| - 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) = -1(-3cos(1π(-3|(-4x^2 - 1x + 2) + 1| + 1) - 3) - 2)^2 - 3(-3cos(1π(-3|(-4x^2 - 1x + 2) + 1| + 1) - 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|(1sin(2π(3(2x - 3) + 4) + 3) + 3) + 2| + 2 have in the interval [-10, 10]?

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the total number of local minima and maxima for f(x) = 1(3sin(3π(1(-5x + 3) - 3)) + 1)^2 - 1(3sin(3π(1(-5x + 3) - 3)) + 1) + 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((1(-1sin(3π(1|x - 3| + 3)) - 1) - 3)/(2(-1sin(3π(1|x - 3| + 3)) - 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) = -3|(-3(4(-2cos(3πx + 3) + 2)^2 - 4(-2cos(3πx + 3) + 2) + 1)^2 - 1(4(-2cos(3πx + 3) + 2)^2 - 4(-2cos(3πx + 3) + 2) + 1) - 1) + 3| in the interval [-10, 10].

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the number of local maximum points for f(x) = -2|(5(3(-1cos(2πx + 2) - 1)^2 + 2(-1cos(2πx + 2) - 1) + 3)^2 - 2(3(-1cos(2πx + 2) - 1)^2 + 2(-1cos(2πx + 2) - 1) + 3) + 5) + 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) = (2((-3(3e^(1(3|x| + 2))) + 1)/(-1(3e^(1(3|x| + 2))) - 2)))/(-3((-3(3e^(1(3|x| + 2))) + 1)/(-1(3e^(1(3|x| + 2))) - 2)) + 4) have in the interval [-10, 10]?

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


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

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


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

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


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

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


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

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


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

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


[User]
Find the total number of local minima and maxima for f(x) = -3|((-1(2(2cos(2πx + 1) + 3)^2 + 5(2cos(2πx + 1) + 3) - 1) + 3)/(3(2(2cos(2πx + 1) + 3)^2 + 5(2cos(2πx + 1) + 3) - 1) + 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((1(-1cos(1π(-5x^2 - 2x - 3)) + 3) - 1)/(2(-1cos(1π(-5x^2 - 2x - 3)) + 3) - 1)) - 1)/(1((1(-1cos(1π(-5x^2 - 2x - 3)) + 3) - 1)/(2(-1cos(1π(-5x^2 - 2x - 3)) + 3) - 1))) in the interval [-10, 10].

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