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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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