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

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

dataset: MATH


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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