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

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


[User]
Find the average of all x-coordinates of local extrema of the function f(x) = 5(-3cos(3π((-1x + 2)/(2x + 3)) + 2)) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local maximum of the function f(x) = -3(-1(1sin(1πx + 2) - 3)^2 - 4(1sin(1πx + 2) - 3))^2 - 5(-1(1sin(1πx + 2) - 3)^2 - 4(1sin(1πx + 2) - 3)) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local maximum of the function f(x) = -1cos(2π(-1|(1x^2 + 3x + 5) + 2| + 1)) - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local maximum of the function f(x) = (1(2cos(1π((-1x + 1)/(-1x + 2)) + 2) + 3) - 3)/(1(2cos(1π((-1x + 1)/(-1x + 2)) + 2) + 3)) in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the rightmost local extremum of the function f(x) = -3(-1(3|x| - 1) + 5)^2 - 1(-1(3|x| - 1) + 5) + 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = -3(3sin(2π(-5x - 1) + 2) + 1)^2 + 5(3sin(2π(-5x - 1) + 2) + 1) - 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local minimum of the function f(x) = -3sin(2π(1|(4x^2 - 1x - 4) - 2| + 2) + 3) + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = (-1(3sin(3π(1x^2 + 4x + 1) + 2) - 2) - 2)/(-3(3sin(3π(1x^2 + 4x + 1) + 2) - 2) - 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = -2e^(-1((-1(-2|x| - 1) - 3)/(3(-2|x| - 1) + 3))) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local extremum of the function f(x) = 1cos(3π(-3(-1x - 4) - 2) + 3) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local minima of the function f(x) = 4(-3(-4x^2 + 1x)^2 + 1(-4x^2 + 1x) + 1)^2 - 2(-3(-4x^2 + 1x)^2 + 1(-4x^2 + 1x) + 1) - 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local maximum of the function f(x) = 1|(-2sin(1π(-1|x - 2| + 3)) + 1) + 2| - 3 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local minimum with the smallest y-value of the function f(x) = 5((1((-1x)/(3x - 2)) - 2)/(3((-1x)/(3x - 2)) - 1))^2 - 2((1((-1x)/(3x - 2)) - 2)/(3((-1x)/(3x - 2)) - 1)) + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local maximum of the function f(x) = (-1(1(-2sin(3πx) - 2)^2 - 4(-2sin(3πx) - 2) - 5) + 3)/(-1(1(-2sin(3πx) - 2)^2 - 4(-2sin(3πx) - 2) - 5) + 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = -5(-4(4x^2 - 1x - 4)^2 + 3(4x^2 - 1x - 4) - 5)^2 - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = -5(-3(-1sin(2πx + 2) - 1) + 3) + 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum of the function f(x) = -1(-1|((1x + 2)/(-1x)) + 1| + 1) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = 1sin(3π(-2|((1x - 2)/(2x))| - 3) + 1) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum of the function f(x) = -3|((3(4x^2 - 5x + 3) + 1)/(-2(4x^2 - 5x + 3))) + 2| + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the smallest y-value of the function f(x) = 3cos(2π(1|(5x^2 + 5x - 4) - 1| - 3) - 2) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local minimum of the function f(x) = 2((-1(4x^2 + 5x - 5) - 3)/(2(4x^2 + 5x - 5) + 1))^2 + 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = 2cos(3π(1(-2x - 3)^2 + 1(-2x - 3) - 1) - 2) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum of the function f(x) = (3(1(-1|x - 1| + 1)^2 - 4(-1|x - 1| + 1) + 1) - 1)/(1(1(-1|x - 1| + 1)^2 - 4(-1|x - 1| + 1) + 1) - 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local maxima of the function f(x) = (3(-3(-3cos(2πx - 1) - 2)^2 + 5(-3cos(2πx - 1) - 2) - 1) - 2)/(1(-3(-3cos(2πx - 1) - 2)^2 + 5(-3cos(2πx - 1) - 2) - 1)) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local maxima of the function f(x) = 4((-3(-2sin(1πx + 3)) - 3)/(1(-2sin(1πx + 3))))^2 + 2((-3(-2sin(1πx + 3)) - 3)/(1(-2sin(1πx + 3)))) + 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local extrema of the function f(x) = 2|(-3cos(1π(-3|x| - 3) + 2)) - 3| + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local minimum of the function f(x) = -3sin(1π(2|(-3|x - 3| - 3) + 2| + 3)) + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = -3((-1(-3|x + 1| + 3))/(-2(-3|x + 1| + 3) - 3))^2 - 3((-1(-3|x + 1| + 3))/(-2(-3|x + 1| + 3) - 3)) + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = (-3(3cos(2π(-2x^2 - 1x + 4) - 3) - 1) - 3)/(2(3cos(2π(-2x^2 - 1x + 4) - 3) - 1) + 3) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local maximum of the function f(x) = (3(2|(-2cos(3πx - 2) + 1) + 1| + 1) + 3)/(2(2|(-2cos(3πx - 2) + 1) + 1| + 1) + 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local extremum of the function f(x) = -2|((3(1|x - 3|) + 3)/(-2(1|x - 3|) + 1)) + 1| + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local minima of the function f(x) = 2(2(-2x^2 - 3x + 4)^2 - 4(-2x^2 - 3x + 4) + 1)^2 - 1(2(-2x^2 - 3x + 4)^2 - 4(-2x^2 - 3x + 4) + 1) - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local minima of the function f(x) = (3((3(-1sin(3πx - 2) - 2) + 3)/(1(-1sin(3πx - 2) - 2) - 3)) - 3)/(-1((3(-1sin(3πx - 2) - 2) + 3)/(1(-1sin(3πx - 2) - 2) - 3))) in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the average of all x-coordinates of local minima of the function f(x) = 3e^(2(3|(3|x| + 3) + 3| - 3)) + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = 2e^(1(-2(2|x + 3| + 3)^2 - 3)) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = -2|(-2(-1sin(1πx - 3) + 3) + 2) + 2| + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the smallest y-value of the function f(x) = (1(2e^(1(-2|x - 3|)) + 3) + 3)/(2(2e^(1(-2|x - 3|)) + 3) - 1) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local extremum of the function f(x) = -5(-1sin(2π(-3|x + 1| - 1) - 3)) + 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = (-1(3(-2e^(-2x) + 1)^2 - 1(-2e^(-2x) + 1) + 3) + 3)/(2(3(-2e^(-2x) + 1)^2 - 1(-2e^(-2x) + 1) + 3) - 1) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = 3|(-4(-2e^(1x) + 1) - 5) + 1| - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local maxima of the function f(x) = (-2(3e^(2(1x^2 - 1x + 5)) + 2) + 2)/(-1(3e^(2(1x^2 - 1x + 5)) + 2) - 3) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local maximum of the function f(x) = -5(3cos(2π(-3x + 1) - 3) - 3)^2 + 1(3cos(2π(-3x + 1) - 3) - 3) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the average of all x-coordinates of local maxima of the function f(x) = 2(-3e^(-2(-4x^2 + 3x))) + 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the largest y-value of the function f(x) = (2(-3(2x^2 + 4x - 3)^2 + 3(2x^2 + 4x - 3) + 5) + 2)/(-1(-3(2x^2 + 4x - 3)^2 + 3(2x^2 + 4x - 3) + 5) + 3) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local extremum of the function f(x) = 2|(3sin(3π(4x + 5) - 1) + 1) + 3| + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum of the function f(x) = 3(-2e^(-2((1x + 1)/(-2x + 3))) + 2)^2 - 3(-2e^(-2((1x + 1)/(-2x + 3))) + 2) - 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the smallest y-value of the function f(x) = -2|(1(-3sin(3πx + 1) - 1)^2 + 4(-3sin(3πx + 1) - 1) - 5) + 1| in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = -3(-1sin(1π(-3x - 1) + 1) - 1)^2 - 5(-1sin(1π(-3x - 1) + 1) - 1) - 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local maxima of the function f(x) = -2cos(3π(-5(1x^2 + 1x - 4) - 2) + 1) - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local extremum of the function f(x) = (2(3cos(1π((-2x + 3)/(1x + 2)) - 1) + 1) - 3)/(3(3cos(1π((-2x + 3)/(1x + 2)) - 1) + 1) + 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local maximum of the function f(x) = 2(1cos(2π((3x - 2)/(1x)) - 3) - 3) + 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the largest y-value of the function f(x) = -2|(1|(1sin(2πx + 3) + 2) - 3| + 2) - 1| + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local minima of the function f(x) = (2(2sin(1π(-1|x + 3|) + 3) - 2) + 1)/(-1(2sin(1π(-1|x + 3|) + 3) - 2)) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = 5(2(2|x + 1| + 3)^2 - 1(2|x + 1| + 3) - 2)^2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the smallest y-value of the function f(x) = 5(-3|(1x + 3) - 3| + 2)^2 - 4(-3|(1x + 3) - 3| + 2) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = -3|(1|(-1cos(3πx - 3) - 3) + 2|) + 2| + 2 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = -2sin(3π(-4((-1x - 3)/(2x + 2))^2 - 5((-1x - 3)/(2x + 2)) + 2) + 3) + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local maxima of the function f(x) = (1(1sin(1π(-1x) - 3) + 3) + 1)/(-2(1sin(1π(-1x) - 3) + 3) + 3) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local maximum of the function f(x) = -2sin(2π((3(1x^2 - 4) - 2)/(-3(1x^2 - 4) + 4)) + 1) + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local extrema of the function f(x) = -2e^(2((-2(-1x + 1) + 1)/(3(-1x + 1)))) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the largest y-value of the function f(x) = 5(-4(3cos(2πx + 1) + 1)^2 + 5)^2 - 5(-4(3cos(2πx + 1) + 1)^2 + 5) + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = -2sin(3π(4(4x - 4)^2 - 2(4x - 4) + 4) + 1) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = 3sin(1π(5(1|x + 2| - 2) - 2) - 1) - 2 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local extremum with the largest y-value of the function f(x) = 1cos(1π(-2(2|x + 2| + 2) + 2) - 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = 1|((-3(-3x^2 - 5x) - 3)/(-1(-3x^2 - 5x) - 3)) + 3| - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local maximum of the function f(x) = 3|(-2cos(2π(-3x^2 - 2x - 5) - 3) - 3) - 2| - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local minima of the function f(x) = 1sin(2π(1(-2x^2 - 2x + 3)^2) + 2) - 2 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the rightmost local minimum of the function f(x) = 5((2(1cos(3πx) + 2) - 1)/(1(1cos(3πx) + 2)))^2 + 4((2(1cos(3πx) + 2) - 1)/(1(1cos(3πx) + 2))) + 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local minimum of the function f(x) = -1|(2sin(3π(1x^2 - 2x - 1) - 2) + 3) + 1| + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = 2|((1(-2cos(3πx - 3)) + 1)/(-1(-2cos(3πx - 3))))| in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = (-1((-2(-5x^2 - 3x + 2) - 1)/(2(-5x^2 - 3x + 2) - 3)) - 3)/(-1((-2(-5x^2 - 3x + 2) - 1)/(2(-5x^2 - 3x + 2) - 3)) + 3) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = -2cos(3π((-3(-4x^2 - 4x) + 1)/(-2(-4x^2 - 4x) - 1)) - 1) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum of the function f(x) = -1(1e^(-1((3x + 3)/(2x + 2))) + 3)^2 - 1(1e^(-1((3x + 3)/(2x + 2))) + 3) in the interval [-10, 10]. Round to the nearest integer.

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


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

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


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

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


[User]
Find the x-coordinate of the local minimum with the smallest y-value of the function f(x) = -2|(-3(-4x^2 + 5x + 3)^2 - 5(-4x^2 + 5x + 3) + 4) + 2| - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local minimum of the function f(x) = -4(1(-2cos(1πx - 2) + 1) + 2)^2 + 1(1(-2cos(1πx - 2) + 1) + 2) - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local maxima of the function f(x) = 3|(-4(-3|x + 2|)^2 + 1(-3|x + 2|) + 4) + 2| + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local extremum of the function f(x) = 1(-1|(4x^2 - 5x - 4) - 2|) + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local extremum of the function f(x) = 4(2|(4x + 1) - 2| - 2)^2 - 4(2|(4x + 1) - 2| - 2) + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = 1(2|(2sin(1πx + 2) + 2) + 2|) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local minimum with the smallest y-value of the function f(x) = -5(-1sin(1π((2x - 1)/(-2x)) - 2) + 2)^2 + 5(-1sin(1π((2x - 1)/(-2x)) - 2) + 2) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the rightmost local minimum of the function f(x) = 3cos(1π(-5(-4x^2 - 5x + 1)^2 - 5(-4x^2 - 5x + 1)) + 2) + 2 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the leftmost local maximum of the function f(x) = (3(-2((-3x)/(-2x))^2 - 4((-3x)/(-2x)) + 5) - 1)/(2(-2((-3x)/(-2x))^2 - 4((-3x)/(-2x)) + 5) + 1) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the largest y-value of the function f(x) = -2|(3(3sin(3πx) - 3) + 4) + 1| - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local maximum of the function f(x) = -3cos(3π(-5(-1|x - 1| + 1) - 2) + 3) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local extremum of the function f(x) = -2|(2(-5x^2 - 3x)^2 - 1(-5x^2 - 3x) - 2)| - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = 5(-1(2e^(-1x) - 1)^2 + 3(2e^(-1x) - 1) + 1)^2 - 1(-1(2e^(-1x) - 1)^2 + 3(2e^(-1x) - 1) + 1) - 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local extremum of the function f(x) = -2(1sin(3π((-2x - 2)/(-3x - 2)) + 3) + 3) - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum of the function f(x) = -2|(-2(-1|x + 2| + 2)^2 - 2(-1|x + 2| + 2) + 1) - 1| - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local extrema of the function f(x) = (2(2(2|x + 2| - 1)^2 - 4(2|x + 2| - 1)) - 2)/(2(2(2|x + 2| - 1)^2 - 4(2|x + 2| - 1))) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = (1(1(-3|x - 3|)^2 - 4(-3|x - 3|) - 1) + 1)/(-2(1(-3|x - 3|)^2 - 4(-3|x - 3|) - 1) + 1) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = -3|(1|(-1cos(2πx - 1)) - 1|) + 1| - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local extrema of the function f(x) = 1sin(2π(2(-5x^2 + 3x)^2 + 1(-5x^2 + 3x) + 1)) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the largest y-value of the function f(x) = 3cos(2π(-3(1x + 4) - 2) - 1) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local minima of the function f(x) = -3(-1cos(3π(5x^2 + 5x - 3)) + 2) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the smallest y-value of the function f(x) = -3sin(3π(1(2|x - 2|) + 4) - 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local maximum of the function f(x) = (2(-2(3sin(1πx - 1) + 2) + 1) - 1)/(-3(-2(3sin(1πx - 1) + 2) + 1) - 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local extremum of the function f(x) = -2|(2|(1sin(2πx + 2) - 1)| - 2) + 1| - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local maxima of the function f(x) = -2cos(2π((2((-1x - 2)/(-2x - 3)) - 2)/(3((-1x - 2)/(-2x - 3)) + 3)) + 3) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = -1|(-1|(2cos(2πx + 1)) + 1| + 2) + 1| + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local maximum of the function f(x) = 2(-1e^(2((-2x)/(3x - 2))) + 3) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local extremum of the function f(x) = 5(-1|(3sin(2πx - 2) + 2) - 2|) - 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = 2|(-4(-2x^2 + 4x + 4)^2 + 5(-2x^2 + 4x + 4)) - 2| + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = (2(-1sin(3π((-1x - 3)/(-3x - 3)) + 1) - 2) - 3)/(1(-1sin(3π((-1x - 3)/(-3x - 3)) + 1) - 2)) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local extremum of the function f(x) = 1(3(-1x^2 - 5x + 4)^2 - 2(-1x^2 - 5x + 4) + 1)^2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = -2(-1sin(1π(3x + 2) + 3) - 1) + 2 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = -1((-1(5x^2 - 2x + 2) + 2)/(-2(5x^2 - 2x + 2) + 3)) - 2 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = 3e^(-1(-2|(2|x| - 1) + 2| - 2)) + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local minimum of the function f(x) = 2(-1cos(1π(5x^2 - 3x + 1) - 3) - 1) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local maxima of the function f(x) = -2|(-2(-3x^2 + 5x + 1)^2 - 5(-3x^2 + 5x + 1) - 4)| in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = -2|((2(-4x^2 - 4) + 3)/(3(-4x^2 - 4) + 1))| + 3 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the leftmost local minimum of the function f(x) = (-2(3sin(2π(-3|x - 1|) - 3) - 3) + 1)/(-2(3sin(2π(-3|x - 1|) - 3) - 3) + 3) in the interval [-10, 10]. Round to the nearest integer.

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


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

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


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

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = (-3(-1(1|x + 2| - 3)^2 - 4(1|x + 2| - 3) + 3) + 2)/(1(-1(1|x + 2| - 3)^2 - 4(1|x + 2| - 3) + 3)) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local minimum of the function f(x) = -2(-4(-2cos(1πx - 1) - 3) + 1)^2 + 1(-4(-2cos(1πx - 1) - 3) + 1) - 4 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the rightmost local extremum of the function f(x) = 3|(2cos(3π(-1|x - 3| + 2) + 1) + 1)| in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = (3((-1(-1x^2 + 5x - 4))/(3(-1x^2 + 5x - 4) - 1)) - 3)/(2((-1(-1x^2 + 5x - 4))/(3(-1x^2 + 5x - 4) - 1)) - 3) in the interval [-10, 10]. Round to the nearest integer.

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


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

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


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

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = -2|(-4(2|x + 2| - 1)^2 + 5) - 3| + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = -1(2(-3cos(2πx - 3) + 1))^2 - 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local maximum of the function f(x) = -3(-1cos(1π(-4x + 1) + 1) + 1)^2 + 1(-1cos(1π(-4x + 1) + 1) + 1) - 4 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local maximum of the function f(x) = (-2(-2(1x^2 - 5x) - 4) - 1)/(-3(-2(1x^2 - 5x) - 4) - 2) in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = 1(-3sin(3π(3|x - 2| - 2) + 3) - 1)^2 + 4(-3sin(3π(3|x - 2| - 2) + 3) - 1) - 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local minima of the function f(x) = 3(2cos(1π((2x + 3)/(-1x)) + 2) + 2)^2 + 4(2cos(1π((2x + 3)/(-1x)) + 2) + 2) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = -2sin(1π((-2(1x^2 - 5x - 1) - 2)/(-2(1x^2 - 5x - 1) + 1)) + 3) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the leftmost local minimum of the function f(x) = 1(-3(1|x + 3|)^2 - 1(1|x + 3|) + 2)^2 - 1(-3(1|x + 3|)^2 - 1(1|x + 3|) + 2) - 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local maximum of the function f(x) = -2((-1(2cos(3πx + 1) + 1) - 2)/(2(2cos(3πx + 1) + 1) - 1)) + 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the largest y-value of the function f(x) = -2|(2sin(1π(-5x + 4) - 2) + 2) + 3| + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = 4((-2(1x^2 + 5x - 4))/(-2(1x^2 + 5x - 4) - 2)) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local minimum of the function f(x) = 2cos(3π(1((3x + 2)/(-2x + 3)) + 2) + 3) + 1 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the rightmost local maximum of the function f(x) = -4(2sin(3π(-3|x - 2| - 1) - 1) - 1) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = 1cos(1π((3(1x^2 + 5x - 1) + 2)/(2(1x^2 + 5x - 1) + 1)) + 3) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the smallest y-value of the function f(x) = -1cos(1π(2(-2x + 4)^2 - 3(-2x + 4) + 5) - 1) - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local minima of the function f(x) = -2sin(3π(-2|(-1|x| + 2) - 2| + 1) + 3) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local extrema of the function f(x) = -3|(-3cos(1π(-4x^2 - 5x + 5) - 2) + 3) + 1| - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local minimum of the function f(x) = -1sin(2π(2(-4x^2 - 2x - 3) + 4) - 1) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = -1|(-1e^(2(5x + 5)) + 3) + 1| - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum of the function f(x) = -1|(-3(3|x + 3| + 3)^2 + 5(3|x + 3| + 3) - 3) + 2| in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = (-2(-3(4x^2 + 1x - 1)^2 - 4(4x^2 + 1x - 1)) - 2)/(3(-3(4x^2 + 1x - 1)^2 - 4(4x^2 + 1x - 1))) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local maxima of the function f(x) = -3|((1(1cos(3πx) + 1) + 3)/(-2(1cos(3πx) + 1))) - 1| + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = 1(3|(-1|x| - 2) - 3| + 1) - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local extremum of the function f(x) = -5(-2sin(3π(-4x - 3)) - 1)^2 - 4(-2sin(3π(-4x - 3)) - 1) + 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local extremum of the function f(x) = 1(-1sin(2π(2|x - 1| + 2)) + 2) + 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local minima of the function f(x) = (2(4(1cos(3πx + 3) - 1)^2 + 3(1cos(3πx + 3) - 1) - 1) - 2)/(-1(4(1cos(3πx + 3) - 1)^2 + 3(1cos(3πx + 3) - 1) - 1) - 1) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local extremum of the function f(x) = -3cos(1π((1(-4x) + 3)/(3(-4x) - 1)) - 1) - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local extrema of the function f(x) = -2|(1sin(1π(3|x + 1| - 2) + 2) - 3) + 1| - 3 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = 3(1sin(3π((3x + 2)/(-2x + 1)) + 1) + 2)^2 + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = (3(2((3x + 1)/(2x - 1))^2 + 3) + 1)/(-1(2((3x + 1)/(2x - 1))^2 + 3) - 1) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local minima of the function f(x) = -3|(4(-1x^2 + 5x - 5) + 5) - 2| + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = 3sin(2π(-2|(1x^2 - 3x + 4) + 2|) + 2) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = (-1(-5(2|x + 1| - 2)^2 - 4(2|x + 1| - 2) + 1) + 3)/(-1(-5(2|x + 1| - 2)^2 - 4(2|x + 1| - 2) + 1) - 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = 4(1(-1|x - 2|)^2 - 5(-1|x - 2|) + 3)^2 - 2(1(-1|x - 2|)^2 - 5(-1|x - 2|) + 3) - 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local maxima of the function f(x) = 5(1|(-3cos(1πx) - 2) + 3| + 3) + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local extrema of the function f(x) = -2cos(3π(-4(5x + 4) - 5) - 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = -4(5(5x^2 + 5x + 1)^2 - 1(5x^2 + 5x + 1) + 4)^2 - 4(5(5x^2 + 5x + 1)^2 - 1(5x^2 + 5x + 1) + 4) - 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the largest y-value of the function f(x) = 4(-3e^(1(2x^2 + 4x + 3)) + 1) - 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum of the function f(x) = 5((-2(-3|x + 1| + 3) + 1)/(-1(-3|x + 1| + 3) - 1))^2 - 1((-2(-3|x + 1| + 3) + 1)/(-1(-3|x + 1| + 3) - 1)) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = 3(-2sin(2π(-5x - 5) + 3) + 3) + 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local maximum of the function f(x) = -5(1e^(1(3x^2 + 1x - 2)) + 3) + 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = (3(-1|(-2cos(1πx + 2) - 2) + 2| + 1) - 2)/(2(-1|(-2cos(1πx + 2) - 2) + 2| + 1) + 3) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local minimum of the function f(x) = -3cos(1π(2|(5x - 5) - 1| + 3)) + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the smallest y-value of the function f(x) = 2(1cos(1π(-4x - 4)) - 3)^2 - 5(1cos(1π(-4x - 4)) - 3) + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local extrema of the function f(x) = -3((-2(1sin(3πx) + 3) - 2)/(-1(1sin(3πx) + 3) - 3))^2 + 5((-2(1sin(3πx) + 3) - 2)/(-1(1sin(3πx) + 3) - 3)) + 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local minima of the function f(x) = 4(-1(-2sin(1πx + 1) + 2)^2 - 4(-2sin(1πx + 1) + 2) - 2)^2 - 5(-1(-2sin(1πx + 1) + 2)^2 - 4(-2sin(1πx + 1) + 2) - 2) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = (2(-1sin(1π(-2x - 5) - 2) - 3) + 2)/(-2(-1sin(1π(-2x - 5) - 2) - 3) - 1) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the largest y-value of the function f(x) = -3(-2(2sin(2πx + 1)) - 1)^2 - 2(-2(2sin(2πx + 1)) - 1) + 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local maximum of the function f(x) = (2(-4(3sin(1πx - 1) - 2) - 2) - 1)/(-1(-4(3sin(1πx - 1) - 2) - 2) - 2) in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = 1|(5(2sin(3πx + 3) + 3) - 4) - 2| in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the leftmost local minimum of the function f(x) = -5(-5(-2cos(2πx + 1) - 3) - 2) - 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = -5(-1((-2x - 2)/(-3x - 2))^2 - 5((-2x - 2)/(-3x - 2)) - 1) - 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local minimum of the function f(x) = -3(1(-1|x - 2| + 1)^2 - 1(-1|x - 2| + 1) - 3)^2 + 4(1(-1|x - 2| + 1)^2 - 1(-1|x - 2| + 1) - 3) + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local extremum of the function f(x) = -3|(2cos(1π(5x^2 + 5x - 2) - 3)) + 2| - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local minimum of the function f(x) = 2cos(1π(-1|((-1x)/(-2x + 3)) - 3| + 1) - 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the smallest y-value of the function f(x) = 1(-1sin(1π((-1x - 3)/(2x - 1)) + 1) - 3) - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = 5((-1(-5x + 2) - 1)/(-3(-5x + 2) - 3)) + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local minimum of the function f(x) = 1cos(2π(1|(-2|x - 1| - 1) - 1|) - 3) + 2 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the leftmost local maximum of the function f(x) = 1|(-2sin(1π((-2x - 2)/(-1x)) + 2)) + 3| - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = 3sin(1π(3(3|x + 2| + 1) - 3) + 3) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = -3(2cos(3π(-1x + 5)) + 1)^2 - 1(2cos(3π(-1x + 5)) + 1) + 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = -1(3|(-3sin(2πx - 1) + 2) + 3| - 3) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = -2(4(-2sin(3πx - 2))^2 - 4(-2sin(3πx - 2)) - 1) - 5 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local maximum of the function f(x) = -1e^(2(-1|((-2x)/(1x - 2)) + 1| - 3)) + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = 1(2cos(3π((-2x + 1)/(1x + 1)) - 1))^2 + 2(2cos(3π((-2x + 1)/(1x + 1)) - 1)) + 1 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the average of all x-coordinates of local extrema of the function f(x) = -4(2cos(2π(-1x^2 + 4x + 2) + 3) - 3) + 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = -4(2|(3|x| + 1) + 2| - 3)^2 - 5(2|(3|x| + 1) + 2| - 3) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = -2e^(-2((-3(-2x^2 - 4x + 2) + 3)/(1(-2x^2 - 4x + 2)))) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local minimum of the function f(x) = (-1(5(3sin(3πx + 2))^2 + 4(3sin(3πx + 2)) - 4) + 2)/(-3(5(3sin(3πx + 2))^2 + 4(3sin(3πx + 2)) - 4) - 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = 1|(2e^(-2(2|x + 1| - 1)) + 1) - 2| - 1 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = -1|(1|(-2|x| + 2) + 3| - 2) - 1| + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local maximum of the function f(x) = 2|(-2|(1cos(1πx - 2) + 2) + 1| + 2) - 1| - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = 2e^(-1(-2|((2x)/(-1x + 3)) - 3| + 3)) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = -2(-2sin(3π(2|x|) + 1) + 1) - 2 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


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

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


[User]
Find the x-coordinate of the leftmost local minimum of the function f(x) = -3(4(2sin(2πx + 3) - 3) - 4)^2 + 3(4(2sin(2πx + 3) - 3) - 4) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local minima of the function f(x) = -1|(-2sin(3π(3x + 4) + 1) + 1)| + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = 3sin(3π(-2|(5x - 5)| - 3) + 1) + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = -5(-1cos(3π(3x^2 + 2x - 3) - 3) - 3)^2 + 2(-1cos(3π(3x^2 + 2x - 3) - 3) - 3) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = (-3(-2((-1x)/(-3x - 2))^2 - 4((-1x)/(-3x - 2)) + 4) - 2)/(-2(-2((-1x)/(-3x - 2))^2 - 4((-1x)/(-3x - 2)) + 4) + 3) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local minima of the function f(x) = 1sin(3π(-3|((-2x)/(-2x - 1)) + 1| - 1) - 2) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the average of all x-coordinates of local extrema of the function f(x) = (3(-3|(2sin(3πx) - 1) + 2| - 2) + 1)/(-2(-3|(2sin(3πx) - 1) + 2| - 2) - 1) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the smallest y-value of the function f(x) = 2(2sin(2π(-5x - 2) + 2) + 3) - 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local minimum of the function f(x) = (-2(4(-1cos(1πx - 3) - 1) + 1) + 3)/(2(4(-1cos(1πx - 3) - 1) + 1)) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = 1cos(2π(-1(1|x + 3| + 2) - 5) - 3) + 1 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the average of all x-coordinates of local minima of the function f(x) = 4(-1(-3sin(1πx + 3) + 1)) + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = -2cos(2π(-1|(-1x^2 + 4x + 3) + 3|) + 3) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the largest y-value of the function f(x) = -1(2|(1sin(2πx - 3) + 1) + 2| - 3)^2 - 1(2|(1sin(2πx - 3) + 1) + 2| - 3) - 5 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = (1(-1(4x^2 - 5x - 3)^2 - 1(4x^2 - 5x - 3) - 3) - 3)/(-3(-1(4x^2 - 5x - 3)^2 - 1(4x^2 - 5x - 3) - 3) + 1) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = -2|((2(4x^2 - 5x + 5) - 2)/(-2(4x^2 - 5x + 5) - 3)) - 1| + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = -1((-2(-2x^2 + 4x - 1) - 1)/(-2(-2x^2 + 4x - 1) + 3))^2 + 2((-2(-2x^2 + 4x - 1) - 1)/(-2(-2x^2 + 4x - 1) + 3)) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = (-1(-2cos(3π(1|x - 3| + 3) - 2) + 3) + 1)/(-1(-2cos(3π(1|x - 3| + 3) - 2) + 3) + 3) in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the rightmost local minimum of the function f(x) = -5(-4(3sin(3πx + 2)) - 3) + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local maxima of the function f(x) = -1|(1|(1sin(1πx) + 2) + 2| + 2) + 3| - 1 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local maximum of the function f(x) = 2|(1e^(2(-3x - 5)) - 1) - 2| in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the largest y-value of the function f(x) = -5(3|(-1e^(1x) - 1) + 2| - 2)^2 - 2(3|(-1e^(1x) - 1) + 2| - 2) + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local extrema of the function f(x) = -3|((3(-2sin(1πx - 2) + 1) + 1)/(3(-2sin(1πx - 2) + 1) - 2)) - 1| - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = 3(1sin(2π(-1|x + 2| - 1) + 2)) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the smallest y-value of the function f(x) = 1cos(3π(-2|(-1x - 3) - 2| - 3) + 2) - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = 4(1cos(3π(-3x - 5)) + 2)^2 - 2(1cos(3π(-3x - 5)) + 2) + 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local minimum of the function f(x) = -1cos(3π(5(2|x|)^2 + 1(2|x|) + 4)) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local extremum of the function f(x) = 2(-4(-1cos(1πx + 2)) - 3) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = 1|(1(1sin(1πx + 3) + 3) - 5) - 3| - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = -2(-3|(1x^2 + 1x - 1) + 1|)^2 + 5 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = 3e^(-1(3|(1|x + 2| - 2) - 1|)) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = -4(-1((3x + 3)/(2x - 1)) - 4)^2 - 4(-1((3x + 3)/(2x - 1)) - 4) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum of the function f(x) = 1(-3|(3x^2 + 4x - 3) - 2| + 1)^2 - 2(-3|(3x^2 + 4x - 3) - 2| + 1) + 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum of the function f(x) = 3(-1|(-2|x| + 1)| - 1)^2 + 3(-1|(-2|x| + 1)| - 1) - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = -5(2(-1cos(3πx + 2) - 3)^2 - 2(-1cos(3πx + 2) - 3) + 4)^2 + 1(2(-1cos(3πx + 2) - 3)^2 - 2(-1cos(3πx + 2) - 3) + 4) - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the smallest y-value of the function f(x) = 1|(2sin(3π(-4x - 3) + 2) + 3) - 3| - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = -5((2(-1x^2 - 5x) + 1)/(1(-1x^2 - 5x))) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = 2cos(1π((-2(-3x^2 + 3x - 4) - 2)/(-2(-3x^2 + 3x - 4) - 3)) + 2) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the largest y-value of the function f(x) = 2|(-4(1x^2 - 5x - 1)^2 + 1(1x^2 - 5x - 1) - 1) - 2| - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the largest y-value of the function f(x) = 2|(5(-2|x + 1| + 1)^2 - 2(-2|x + 1| + 1) + 4) + 1| + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local maximum of the function f(x) = 1(2(-1x^2 - 3x + 3)^2 - 5(-1x^2 - 3x + 3))^2 - 3(2(-1x^2 - 3x + 3)^2 - 5(-1x^2 - 3x + 3)) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local maxima of the function f(x) = -5(1cos(2π(-2|x - 2| - 3) - 1) - 3) + 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = -1(-1sin(2π(-1x^2 - 2x - 1) + 1) + 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = -1(-2((-3x + 1)/(-2x - 3))^2 - 1((-3x + 1)/(-2x - 3)) - 3) + 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local minima of the function f(x) = -2sin(2π(-2|((-2x - 3)/(3x + 1)) + 2| - 2) - 3) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = 1(-3|((-1x - 1)/(1x + 3)) + 2| + 1)^2 + 1(-3|((-1x - 1)/(1x + 3)) + 2| + 1) + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local extremum of the function f(x) = -3(1|(3x - 4) - 3| - 2)^2 + 5(1|(3x - 4) - 3| - 2) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = 1|(3((2x)/(-2x + 1)) - 2) + 2| + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local maximum of the function f(x) = (-1(-1cos(2π(-5x + 4) - 3) - 1) + 1)/(-3(-1cos(2π(-5x + 4) - 3) - 1) + 1) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local extremum of the function f(x) = -1cos(3π(1|(3|x + 2| + 2) - 2| - 3) + 3) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = 3sin(1π(1|(-3x) - 2| - 3) + 3) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = -3((2(-1|x - 3| + 2) + 3)/(-2(-1|x - 3| + 2) + 3)) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local minimum of the function f(x) = 1(-1|(-1|x + 3|) - 1| - 1)^2 + 5(-1|(-1|x + 3|) - 1| - 1) + 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the largest y-value of the function f(x) = -3cos(2π(1((1x - 1)/(-1x + 2))^2 + 5((1x - 1)/(-1x + 2)) + 4) + 2) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local maxima of the function f(x) = -1(-3(-1sin(2πx + 2) - 3)) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the largest y-value of the function f(x) = -1(1(1sin(3πx + 2))^2 + 2(1sin(3πx + 2)) - 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = 2|(3(-1x^2 - 5x - 2) - 4) - 3| - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local minimum of the function f(x) = (-2(-2sin(3π((-1x + 1)/(2x + 1)) + 3) - 2) + 2)/(-1(-2sin(3π((-1x + 1)/(2x + 1)) + 3) - 2) + 3) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local extrema of the function f(x) = -2(3cos(1π(-3x - 2)) - 3) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = (2(3sin(2π((-1x + 3)/(-2x)) - 1) + 3) + 2)/(3(3sin(2π((-1x + 3)/(-2x)) - 1) + 3)) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local extrema of the function f(x) = (-1(-2cos(1π(-2x + 4) - 1) - 1) + 1)/(3(-2cos(1π(-2x + 4) - 1) - 1) - 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum of the function f(x) = 1(-3|(-3x^2 + 2x - 2) + 2| - 1) - 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = -3(3cos(1π(5x + 1) - 2) - 1)^2 + 4(3cos(1π(5x + 1) - 2) - 1) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = (3(5(-2cos(2πx) - 1)^2 - 4(-2cos(2πx) - 1) + 4) + 3)/(1(5(-2cos(2πx) - 1)^2 - 4(-2cos(2πx) - 1) + 4) + 3) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = 1(-4(2|x - 3| + 2)^2 - 3(2|x - 3| + 2) - 5)^2 - 2(-4(2|x - 3| + 2)^2 - 3(2|x - 3| + 2) - 5) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local extremum of the function f(x) = (-3((-3(3x^2 + 4x + 2) - 3)/(-1(3x^2 + 4x + 2) - 1)) - 2)/(1((-3(3x^2 + 4x + 2) - 3)/(-1(3x^2 + 4x + 2) - 1)) + 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = 3cos(1π((-1(4x - 1) + 1)/(1(4x - 1) + 1)) + 2) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = (-3((-3(-4x^2 - 2x - 2) + 2)/(-1(-4x^2 - 2x - 2) - 2)) + 1)/(-1((-3(-4x^2 - 2x - 2) + 2)/(-1(-4x^2 - 2x - 2) - 2)) + 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = (1(3(5x^2 + 4x)^2 + 1(5x^2 + 4x) + 2) - 3)/(-1(3(5x^2 + 4x)^2 + 1(5x^2 + 4x) + 2) - 1) in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = (-1(-2|(-4x^2 + 1x - 2) + 3| + 1) - 2)/(3(-2|(-4x^2 + 1x - 2) + 3| + 1) - 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local extremum of the function f(x) = 1(1|(5x^2 - 4x + 1) - 2|)^2 + 1(1|(5x^2 - 4x + 1) - 2|) - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = -3(-3sin(2π(4x^2 + 4x + 1) + 1) - 2) + 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local extremum of the function f(x) = 3cos(1π((3((1x + 1)/(3x - 2)) - 2)/(1((1x + 1)/(3x - 2)) + 2)) - 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = -4(-1((-2x + 3)/(1x + 3))^2 - 2((-2x + 3)/(1x + 3)) + 2) - 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local maxima of the function f(x) = -5(-1e^(1((2x + 3)/(2x - 3))) + 3) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local extremum of the function f(x) = 3|((-1(-3|x + 2| + 3) + 3)/(3(-3|x + 2| + 3) + 1)) - 3| - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = -1(-2((-2x - 2)/(3x))^2 - 1((-2x - 2)/(3x)) - 4) + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = 2sin(1π(1((-3x - 2)/(-1x + 2)) - 1) + 1) + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = 1((-2(-3x - 3) + 1)/(-1(-3x - 3) + 3))^2 - 1((-2(-3x - 3) + 1)/(-1(-3x - 3) + 3)) + 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = (3((-1(-2sin(3πx - 3) - 1) + 2)/(1(-2sin(3πx - 3) - 1) + 2)) + 1)/(2((-1(-2sin(3πx - 3) - 1) + 2)/(1(-2sin(3πx - 3) - 1) + 2)) + 1) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = 3e^(-2(-3((-2x - 1)/(-2x - 2))^2 - 1((-2x - 1)/(-2x - 2)) + 4)) + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = -1(3((3x + 2)/(3x + 3))^2 - 2((3x + 2)/(3x + 3)) - 2)^2 + 1(3((3x + 2)/(3x + 3))^2 - 2((3x + 2)/(3x + 3)) - 2) + 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = -2((2(-2x^2 - 1x - 3) + 2)/(3(-2x^2 - 1x - 3) - 2))^2 + 2((2(-2x^2 - 1x - 3) + 2)/(3(-2x^2 - 1x - 3) - 2)) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = 1(-1sin(3π(4x + 2) - 3) + 1) - 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local extrema of the function f(x) = (3(5(-3x^2 - 4x + 1)^2 - 1(-3x^2 - 4x + 1) - 4))/(-1(5(-3x^2 - 4x + 1)^2 - 1(-3x^2 - 4x + 1) - 4) + 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local minima of the function f(x) = -2sin(3π((-1(-2x^2 - 1x + 3) - 1)/(3(-2x^2 - 1x + 3) + 1)) - 1) + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local maxima of the function f(x) = 2cos(1π(3|((3x)/(3x - 2)) + 2| + 1) - 1) + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = -1(2cos(2π(-2x^2 - 2x + 5) - 1) + 3)^2 + 1 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = 3(3|(2sin(2πx + 3) - 3) - 1| - 3)^2 - 5 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = 1(5((2x - 1)/(-3x - 2)) + 4)^2 + 3(5((2x - 1)/(-3x - 2)) + 4) + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local maximum of the function f(x) = -1|(-5(-5x^2 + 4x + 1)^2 - 5(-5x^2 + 4x + 1) - 2)| - 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = -2sin(3π((1((-2x - 3)/(-3x + 1)) + 3)/(-3((-2x - 3)/(-3x + 1)) + 4)) - 1) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum of the function f(x) = -1e^(-2((-1(-1x^2 - 3x + 1) - 2)/(-2(-1x^2 - 3x + 1) + 3))) - 2 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local extremum with the largest y-value of the function f(x) = -1cos(1π(-4(1x^2 + 1x + 1)^2)) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = (-2(3((3x - 2)/(-1x - 2))^2 - 3((3x - 2)/(-1x - 2)) + 5) - 1)/(-3(3((3x - 2)/(-1x - 2))^2 - 3((3x - 2)/(-1x - 2)) + 5) + 4) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local minimum of the function f(x) = -3cos(2π((1(1|x - 3| - 1) - 1)/(-3(1|x - 3| - 1) + 4)) - 3) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = -1(-2|(4x^2 + 3x - 3) + 3| - 3)^2 - 4(-2|(4x^2 + 3x - 3) + 3| - 3) + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = -5(4(3cos(3πx) - 2) + 5) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local extrema of the function f(x) = -3|(1|(5x^2 + 3x) - 2| + 2)| in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local maxima of the function f(x) = 2sin(1π(5(3|x + 2| - 2) - 4) + 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = 1sin(3π(1(-3x^2 + 5x - 1)^2 + 5(-3x^2 + 5x - 1) + 4) + 1) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = 1e^(-1(-3|(-3x^2 + 1x) - 1|)) + 2 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = (2(2|(-1|x - 3| + 3) - 2| - 3) + 3)/(-1(2|(-1|x - 3| + 3) - 2| - 3) + 3) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local minimum of the function f(x) = -3|(3(1x^2 + 5x - 5) - 3) + 2| in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = (3(1(-1x + 2)^2 + 3(-1x + 2) - 4) + 1)/(-2(1(-1x + 2)^2 + 3(-1x + 2) - 4)) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local extrema of the function f(x) = (3(2sin(2π((3x - 3)/(-2x + 3)) + 1) + 1) - 2)/(1(2sin(2π((3x - 3)/(-2x + 3)) + 1) + 1) + 3) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the largest y-value of the function f(x) = 1e^(1((-3(3|x + 2| - 1))/(-1(3|x + 2| - 1)))) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local maxima of the function f(x) = 3cos(1π(-2(2x - 3) + 1) + 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = (2(-2sin(3π(-2x^2 - 1x - 3) + 2) + 1) - 2)/(-2(-2sin(3π(-2x^2 - 1x - 3) + 2) + 1)) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local maximum of the function f(x) = -2((3((1x - 1)/(1x - 3)) + 2)/(1((1x - 1)/(1x - 3))))^2 + 5((3((1x - 1)/(1x - 3)) + 2)/(1((1x - 1)/(1x - 3)))) + 2 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = 2((2(-1x^2 - 5x - 4) + 3)/(-1(-1x^2 - 5x - 4) + 2)) - 2 in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = (3(3|((-1x + 2)/(3x))| + 1) + 1)/(-3(3|((-1x + 2)/(3x))| + 1)) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = 5(3((3x + 3)/(-2x - 2)) + 3) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum of the function f(x) = (-2(-1|(-1x - 3) + 3| - 3) + 1)/(-1(-1|(-1x - 3) + 3| - 3) + 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = -3sin(3π(-5(5x^2 - 2x - 3)^2 - 1(5x^2 - 2x - 3) - 2)) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local maximum of the function f(x) = -1cos(2π(1|(5x + 4) - 2| + 3)) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local extrema of the function f(x) = (2(3|(1sin(2πx - 3) + 3) - 1| - 2) - 1)/(2(3|(1sin(2πx - 3) + 3) - 1| - 2) + 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local extremum of the function f(x) = 1|(2cos(1π(2x^2 + 4x + 2) - 2) - 3)| + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = -1(-1((-3x + 2)/(-1x - 3)) + 4)^2 - 5(-1((-3x + 2)/(-1x - 3)) + 4) + 4 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = -1cos(1π(2|(-1x + 3) - 2| - 1) + 1) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local minimum of the function f(x) = 2cos(1π(1(1x^2 + 4x + 5) + 1) + 3) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local minimum of the function f(x) = 3sin(3π(-1(-3|x + 1|) - 5) + 1) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the largest y-value of the function f(x) = -4(-2cos(3π((1x - 2)/(3x + 3)) - 3) + 1)^2 - 1(-2cos(3π((1x - 2)/(3x + 3)) - 3) + 1) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum of the function f(x) = -1(5(3|x| - 3)^2 + 3(3|x| - 3) - 4) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local extremum of the function f(x) = 2cos(3π(2(-5x^2 - 5) + 5) - 3) + 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local maximum of the function f(x) = (3((-1(3x^2 + 5x - 2) - 1)/(-2(3x^2 + 5x - 2))) - 2)/(-1((-1(3x^2 + 5x - 2) - 1)/(-2(3x^2 + 5x - 2))) + 2) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local minimum with the smallest y-value of the function f(x) = -1|(-2e^(-1(-2|x + 3|)) + 2) + 3| + 2 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local maximum of the function f(x) = -5(2e^(-2(-5x^2 + 1x - 2)) - 1)^2 - 2(2e^(-2(-5x^2 + 1x - 2)) - 1) + 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local extremum of the function f(x) = 2|(2cos(2π(5x^2 + 1x - 5) - 2) + 2) + 2| - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the average of all x-coordinates of local maxima of the function f(x) = (2(-1sin(1π(-3x + 3) + 2) - 1) + 2)/(2(-1sin(1π(-3x + 3) + 2) - 1)) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local extremum of the function f(x) = (3(-2(-4x^2 - 4x + 1)^2 - 4(-4x^2 - 4x + 1) + 3))/(-2(-2(-4x^2 - 4x + 1)^2 - 4(-4x^2 - 4x + 1) + 3) - 2) in the interval [-10, 10]. Round to the nearest integer.

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


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

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


[User]
Find the x-coordinate of the local extremum with the smallest y-value of the function f(x) = -2(-2(-1x^2 + 3x - 4)^2 - 3(-1x^2 + 3x - 4) + 5)^2 + 5 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local extremum of the function f(x) = 1cos(2π(1|(4x^2 + 3x - 1) + 2| - 2) - 3) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local extremum of the function f(x) = 2e^(-2(3|(4x - 4) + 2| + 3)) + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the leftmost local extremum of the function f(x) = -1(-3(-2cos(1πx - 1) + 2) + 1)^2 - 3(-3(-2cos(1πx - 1) + 2) + 1) in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local minimum of the function f(x) = -1|((1(2|x|) - 1)/(-1(2|x|) + 2)) - 2| + 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the local extremum with the largest y-value of the function f(x) = 3e^(1(2(5x^2 + 4x) + 3)) - 1 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local minimum of the function f(x) = 3cos(3π((2(-4x + 3))/(-1(-4x + 3) + 3))) - 3 in the interval [-10, 10]. Round to the nearest integer.

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


[User]
Find the x-coordinate of the rightmost local extremum of the function f(x) = -1|(3cos(1π(2|x| + 1) - 2))| - 2 in the interval [-10, 10]. Round to the nearest integer.

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