[User]
Find the x-coordinate of the local maximum with the smallest y-value of the function f(x) = -1cos(3π((-2((-1x - 2)/(2x - 1)) - 1)/(3((-1x - 2)/(2x - 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 average of all x-coordinates of local extrema of the function f(x) = -2|(3((-1x - 1)/(-3x + 4))^2 - 3((-1x - 1)/(-3x + 4)) - 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) = -4(2|(-1x^2 - 2x - 4) + 2|)^2 - 5(2|(-1x^2 - 2x - 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 extrema of the function f(x) = (-1(4(-3x - 5)))/(-3(4(-3x - 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 of the function f(x) = (2(-3(-1x - 3)^2 + 4(-1x - 3) - 1))/(-2(-3(-1x - 3)^2 + 4(-1x - 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 with the smallest y-value of the function f(x) = -2(1cos(1π((1x - 1)/(1x - 3)) - 3) + 2)^2 - 1(1cos(1π((1x - 1)/(1x - 3)) - 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 extremum of the function f(x) = -3|(-3|(5x^2 + 2x + 5) + 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 rightmost local minimum of the function f(x) = 3(5(-3cos(2πx + 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 minimum with the largest y-value of the function f(x) = 3sin(1π(-2(-1x^2 - 3x + 4) - 4) - 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 minimum of the function f(x) = -3|(-4(2sin(2πx + 3) + 2)^2 + 4(2sin(2πx + 3) + 2) - 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 average of all x-coordinates of local extrema of the function f(x) = -3|(-2sin(1π(-5x^2 + 1x + 5) - 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) = 2cos(3π(2(1|x - 2| - 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 local maximum with the largest y-value of the function f(x) = 1sin(3π(1|(3|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 x-coordinate of the local minimum with the largest y-value of the function f(x) = 2(-3cos(3π((1x + 3)/(3x)) + 3) + 2)^2 - 5(-3cos(3π((1x + 3)/(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 average of all x-coordinates of local minima of the function f(x) = (3(-1|(3sin(3πx - 2)) + 3|) + 3)/(2(-1|(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 x-coordinate of the local minimum with the largest y-value of the function f(x) = -2sin(1π(-1(1x^2 + 2x - 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) = (-3((3(2|x|) - 2)/(-2(2|x|) - 1)) - 3)/(-1((3(2|x|) - 2)/(-2(2|x|) - 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 largest y-value of the function f(x) = (-2(-4(2cos(3πx) + 1) + 4) + 1)/(-1(-4(2cos(3πx) + 1) + 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 largest y-value of the function f(x) = (-2((-1(-3cos(1πx) - 1) - 2)/(-1(-3cos(1πx) - 1) + 2)) + 3)/(-1((-1(-3cos(1πx) - 1) - 2)/(-1(-3cos(1πx) - 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 extrema (both minima and maxima) does the function f(x) = 1|((-1(-3sin(2πx + 1) - 3) + 1)/(-1(-3sin(2πx + 1) - 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 maximum of the function f(x) = 3|(-3(1x^2 - 2x - 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 maximum of the function f(x) = -1e^(-1((-2((-1x + 2)/(-3x + 2)) + 1)/(3((-1x + 2)/(-3x + 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) = -1|(-1cos(3π(2x + 5)) + 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 leftmost local maximum of the function f(x) = -5(1cos(3π(5x^2 - 1x) - 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 minimum with the smallest y-value of the function f(x) = 3sin(2π(2|(3x - 3) + 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 minimum with the smallest y-value of the function f(x) = (1(5(-2|x - 1|)^2 + 1(-2|x - 1|) - 3) + 3)/(-3(5(-2|x - 1|)^2 + 1(-2|x - 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 leftmost local maximum of the function f(x) = 5(2sin(3π(-2x^2 - 5x + 5) - 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) = 2sin(2π((-1(-3x^2 + 3x))/(3(-3x^2 + 3x) + 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 minimum of the function f(x) = 2|(-1|((-1x)/(-3x + 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 largest y-value of the function f(x) = 2cos(3π(2|((-2x + 3)/(1x + 2)) + 1| + 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 rightmost local extremum of the function f(x) = 2cos(3π((2(1x) + 1)/(3(1x) - 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 average of all x-coordinates of local extrema of the function f(x) = -1e^(1((3((3x - 3)/(1x - 3)) - 3)/(-1((3x - 3)/(1x - 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) = -3sin(2π((-2(-2x + 5))/(2(-2x + 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 leftmost local minimum of the function f(x) = (3(-3sin(3π(-1x^2 + 2x - 2) + 2) + 2) - 3)/(-1(-3sin(3π(-1x^2 + 2x - 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 x-coordinate of the local maximum with the smallest y-value of the function f(x) = -2((-2(-1cos(1πx + 2) + 1) + 2)/(2(-1cos(1πx + 2) + 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) = -3|((-3(3sin(2πx) - 2) + 1)/(-3(3sin(2πx) - 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 of the function f(x) = -3|(-5((3x - 2)/(2x + 3))^2 - 1((3x - 2)/(2x + 3))) - 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((3(1x - 4))/(-3(1x - 4) + 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) = 3|(-2cos(2π(-2x^2 + 5x) + 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 extremum of the function f(x) = 2|(-4(2|x| + 2)^2 - 2(2|x| + 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 minimum of the function f(x) = 3e^(1(-1(-1|x + 3| + 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 leftmost local maximum of the function f(x) = 2sin(1π(-2|((-3x - 1)/(-3x - 2)) - 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 of the function f(x) = -1((-1((-3x + 2)/(1x)))/(-1((-3x + 2)/(1x)) - 2))^2 + 1((-1((-3x + 2)/(1x)))/(-1((-3x + 2)/(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 x-coordinate of the local extremum with the smallest y-value of the function f(x) = -3sin(2π(-1(2x + 1)^2 + 4(2x + 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 maximum of the function f(x) = 5(-2e^(2(-5x + 5)) + 3)^2 - 5(-2e^(2(-5x + 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 extremum with the smallest y-value of the function f(x) = -3e^(-1((3(-1x^2 + 4x + 1) + 1)/(2(-1x^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 minimum with the smallest y-value of the function f(x) = -3(-1cos(2π(-5x^2 - 1x + 4) - 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 average of all x-coordinates of local minima of the function f(x) = -3(2|(-2cos(3πx) + 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 maximum with the smallest y-value of the function f(x) = (-1(2|(3cos(3πx) - 3) - 1| + 2) + 2)/(1(2|(3cos(3πx) - 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 leftmost local minimum of the function f(x) = 1(5(-3cos(1πx - 3) - 1)^2 + 2)^2 + 3(5(-3cos(1πx - 3) - 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 rightmost local minimum of the function f(x) = -1sin(3π(2(5x - 2)^2 + 5(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 local minimum with the smallest y-value of the function f(x) = 2((3(1sin(3πx - 3) - 1) - 2)/(-1(1sin(3πx - 3) - 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) = 3|((1(-3|x + 2|) + 2)/(2(-3|x + 2|) + 1)) - 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 extremum with the largest y-value of the function f(x) = -2e^(1(-3|(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 extremum with the largest y-value of the function f(x) = -5(3cos(2π(1x - 5) + 3))^2 - 2(3cos(2π(1x - 5) + 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 minima does the function f(x) = -4((-3(-2e^(1x) + 1))/(-3(-2e^(1x) + 1) + 1))^2 - 3((-3(-2e^(1x) + 1))/(-3(-2e^(1x) + 1) + 1)) + 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 with the smallest y-value of the function f(x) = (3(3|(-1x^2 + 2x + 5) + 1| - 1) + 1)/(1(3|(-1x^2 + 2x + 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 maximum of the function f(x) = 1|(-1|((1x - 3)/(2x)) - 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 average of all x-coordinates of local minima of the function f(x) = (1(2cos(2π(3|x + 1| + 1) - 1) - 1))/(2(2cos(2π(3|x + 1| + 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 local extremum of the function f(x) = -1(2e^(2(2|x - 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((3(2sin(1πx - 2) + 1) + 2)/(3(2sin(1πx - 2) + 1) - 1)) + 2)/(3((3(2sin(1πx - 2) + 1) + 2)/(3(2sin(1πx - 2) + 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 maxima does the function f(x) = -3|(-2(1sin(3πx + 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|((-3(-1cos(1πx - 2) - 2) - 1)/(3(-1cos(1πx - 2) - 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 leftmost local minimum of the function f(x) = -3|(5(-2e^(-2x) + 2)^2 + 1(-2e^(-2x) + 2) - 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 rightmost local maximum of the function f(x) = (1(-2|(-1cos(2πx - 2) - 2) - 1| + 1) + 3)/(-1(-2|(-1cos(2πx - 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 minima of the function f(x) = 1|(1(3sin(1πx - 2) + 3)^2 - 2(3sin(1πx - 2) + 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 minimum with the largest y-value of the function f(x) = 4(-2((-3x - 2)/(3x))^2 - 2((-3x - 2)/(3x)) + 2)^2 - 3(-2((-3x - 2)/(3x))^2 - 2((-3x - 2)/(3x)) + 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) = 2sin(2π((-2(2|x| - 2) - 3)/(3(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 average of all x-coordinates of local minima of the function f(x) = (2(-3(-3sin(1πx - 3) + 2)^2 - 4(-3sin(1πx - 3) + 2) + 4) + 1)/(-3(-3(-3sin(1πx - 3) + 2)^2 - 4(-3sin(1πx - 3) + 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 leftmost local extremum of the function f(x) = (-2(-1|(-1x^2 - 3x + 1) - 3| - 2))/(-1(-1|(-1x^2 - 3x + 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 rightmost local minimum of the function f(x) = 1|(3sin(3π(4x + 5) - 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) = 2(-1sin(1π(-3|x - 3| - 3) + 1) - 3)^2 + 3(-1sin(1π(-3|x - 3| - 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 extremum of the function f(x) = 1e^(-2((3(3|x + 3| - 1) - 2)/(3(3|x + 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 local extremum with the largest y-value of the function f(x) = 3cos(3π(-3(-3|x| - 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 with the smallest y-value of the function f(x) = (1(2sin(3π(-5x - 1) + 3)) + 1)/(2(2sin(3π(-5x - 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 of the function f(x) = -3(-3((3x - 1)/(1x))^2 + 3((3x - 1)/(1x)) + 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 maximum of the function f(x) = -1|(1(-3e^(2x))^2 + 1(-3e^(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 rightmost local minimum of the function f(x) = -1sin(2π(-1|((3x + 2)/(3x - 2)) - 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 minimum of the function f(x) = (1(-2(-4x^2) - 1) - 2)/(-3(-2(-4x^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) = -2(-2|(5x - 1) + 2| + 3)^2 - 4(-2|(5x - 1) + 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 minimum with the smallest y-value of the function f(x) = (2(-5(-2cos(1πx - 3) - 2) - 1))/(3(-5(-2cos(1πx - 3) - 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) = 2(3e^(1(-4x^2 + 5x + 2)) + 3)^2 - 1(3e^(1(-4x^2 + 5x + 2)) + 3) + 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) = -2((3(-1x - 4) - 2)/(1(-1x - 4) - 2))^2 - 2((3(-1x - 4) - 2)/(1(-1x - 4) - 2)) + 2 have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = 4(-1|((2x + 1)/(-2x)) + 1| - 2)^2 - 3(-1|((2x + 1)/(-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 maximum of the function f(x) = -5(-3|(-4x^2 - 4x - 4) - 3| + 2)^2 - 3(-3|(-4x^2 - 4x - 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) = 3sin(3π(4((3x)/(-3x - 1))^2 - 1((3x)/(-3x - 1)) + 4) - 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 maximum of the function f(x) = -1|((1(-2sin(3πx + 3) + 2) - 3)/(-1(-2sin(3πx + 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 maximum with the smallest y-value of the function f(x) = -1cos(3π(3|(2|x + 3| - 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]
How many local extrema (both minima and maxima) does the function f(x) = 1(2cos(2π(2x + 2) + 3) + 2)^2 - 3(2cos(2π(2x + 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 extremum of the function f(x) = 2|(-5(-3x^2 + 1x - 5)^2 + 5(-3x^2 + 1x - 5)) + 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 of the function f(x) = -3(3((-3x)/(3x + 3))^2 - 2((-3x)/(3x + 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) = 3|(1|(3x^2 + 4x + 4) + 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 leftmost local extremum of the function f(x) = 2(3|(1cos(3πx - 2) - 1) - 1| - 2)^2 - 1(3|(1cos(3πx - 2) - 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 minimum with the smallest y-value of the function f(x) = (3(-2|(1e^(-2x) + 1) + 3| - 2))/(-2(-2|(1e^(-2x) + 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 minimum with the smallest y-value of the function f(x) = -1(3|(-3sin(3πx + 3) + 2) - 3| + 2)^2 + 4(3|(-3sin(3πx + 3) + 2) - 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 extremum with the largest y-value of the function f(x) = (2(-2|(-3sin(2πx + 2) - 2) + 3| - 2) + 2)/(-1(-2|(-3sin(2πx + 2) - 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 average of all x-coordinates of local extrema of the function f(x) = -3sin(2π(-1(-5x^2 - 2x - 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) = -4(3|(-3cos(2πx + 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 smallest y-value of the function f(x) = 5(-4(3sin(3πx + 2) + 2) - 2)^2 + 2(-4(3sin(3πx + 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 x-coordinate of the local minimum of the function f(x) = (1(-4(1x^2 - 4x - 3)^2 + 4(1x^2 - 4x - 3) + 3) + 3)/(-3(-4(1x^2 - 4x - 3)^2 + 4(1x^2 - 4x - 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 minimum of the function f(x) = -1((-3(-4x^2 + 3x))/(-1(-4x^2 + 3x) + 2))^2 + 1((-3(-4x^2 + 3x))/(-1(-4x^2 + 3x) + 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 maximum with the largest y-value of the function f(x) = -4(-2|(-1sin(1πx - 2) + 1) - 1| + 3)^2 - 2(-2|(-1sin(1πx - 2) + 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 maximum of the function f(x) = -2|(4(-3x^2 - 4x - 4)^2 - 5(-3x^2 - 4x - 4) - 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) = -3|(1|((2x)/(-1x + 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) = 5((3(4x - 3) + 2)/(1(4x - 3) - 3))^2 - 2((3(4x - 3) + 2)/(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) = -1sin(1π(-3((2x - 3)/(2x)) - 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 extremum of the function f(x) = (-2(-2(1|x| + 2) + 5) - 2)/(1(-2(1|x| + 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 minimum with the smallest y-value of the function f(x) = -3|(2(-2cos(2πx - 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 of the function f(x) = 1((-2(-4x - 1) - 1)/(-1(-4x - 1) - 2))^2 - 5((-2(-4x - 1) - 1)/(-1(-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 leftmost local maximum of the function f(x) = (1(-1(1sin(2πx + 2) - 3) + 5) + 3)/(-1(-1(1sin(2πx + 2) - 3) + 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 rightmost local extremum of the function f(x) = 3e^(2(-2(-1x - 1)^2 + 5(-1x - 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 extremum of the function f(x) = 1sin(1π(1|(1x^2 - 1x - 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 minima of the function f(x) = 1cos(1π((1(1x - 2) - 1)/(-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]
Find the x-coordinate of the rightmost local extremum of the function f(x) = 5(1sin(3π(-2x^2 + 2x + 1) - 3) - 3)^2 + 3(1sin(3π(-2x^2 + 2x + 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 minimum with the largest y-value of the function f(x) = -2e^(1(-1(-1|x + 3| - 3)^2 - 5(-1|x + 3| - 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 maximum with the largest y-value of the function f(x) = 2e^(-1(4(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) = -4(1e^(-1((1x - 1)/(3x))) - 3)^2 + 5(1e^(-1((1x - 1)/(3x))) - 3) + 4 have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = 3|(-5((3x - 2)/(-2x + 3))^2 - 3((3x - 2)/(-2x + 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|((1(5x^2 + 2x - 2) - 2)/(-3(5x^2 + 2x - 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 of the function f(x) = 1(-2e^(-2(-3|x - 3| - 2)) - 2)^2 - 4(-2e^(-2(-3|x - 3| - 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 maximum with the largest y-value of the function f(x) = (-1(4(-1cos(3πx + 1) + 2)^2 - 2(-1cos(3πx + 1) + 2) + 2) + 1)/(3(4(-1cos(3πx + 1) + 2)^2 - 2(-1cos(3πx + 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 largest y-value of the function f(x) = -1sin(3π(3(-2x + 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 leftmost local extremum of the function f(x) = -2sin(3π(-4(5x^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]
How many local minima does the function f(x) = -1e^(1((-3(-1|x| + 2) + 3)/(1(-1|x| + 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 extremum with the largest y-value of the function f(x) = -5(-3|(-3cos(3πx)) + 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 rightmost local maximum of the function f(x) = (2(-1|(-3cos(2πx + 2) + 1) - 1| - 2) + 1)/(-3(-1|(-3cos(2πx + 2) + 1) - 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 of the function f(x) = 3(3(3|x| - 1) - 4)^2 + 3(3(3|x| - 1) - 4) - 5 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(-2(1|x|)^2 + 3(1|x|) - 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) = (-1(2cos(2π((-2x + 2)/(-3x - 2)) + 1) + 2) + 2)/(-2(2cos(2π((-2x + 2)/(-3x - 2)) + 1) + 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 of the function f(x) = 3(-3((-2x - 3)/(-2x)))^2 + 1(-3((-2x - 3)/(-2x))) - 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(1((-2x + 3)/(1x + 2))^2 - 3((-2x + 3)/(1x + 2)))^2 - 5(1((-2x + 3)/(1x + 2))^2 - 3((-2x + 3)/(1x + 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) = -5((-2(-1e^(2x) + 2) - 1)/(-2(-1e^(2x) + 2) + 3))^2 + 5((-2(-1e^(2x) + 2) - 1)/(-2(-1e^(2x) + 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 extremum with the largest y-value of the function f(x) = 3cos(3π(-3(3|x + 1| - 1)^2 + 2(3|x + 1| - 1) + 4) - 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 largest y-value of the function f(x) = (3(-2cos(1π(-1x - 2) - 2) + 3) - 1)/(-2(-2cos(1π(-1x - 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 maximum with the largest y-value of the function f(x) = 3cos(3π(-5((1x - 2)/(-3x))^2 - 4((1x - 2)/(-3x)) - 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 local minimum with the smallest y-value of the function f(x) = -2sin(3π((-1(4x - 4) + 3)/(-2(4x - 4) + 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 extremum with the largest y-value of the function f(x) = (-3(1|(-2cos(1πx - 3) - 1) + 3| + 3) + 3)/(1(1|(-2cos(1πx - 3) - 1) + 3| + 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(1e^(-2(-2|x| + 1)) + 1)^2 + 1(1e^(-2(-2|x| + 1)) + 1) - 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) = -1(-1sin(2π((-3x - 2)/(1x)) - 3) - 3) - 5 have in the interval [-10, 10]?

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


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

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


[User]
How many local maxima does the function f(x) = 3(1|(-3|x + 2| - 1) + 3| + 3)^2 + 2(1|(-3|x + 2| - 1) + 3| + 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 of the function f(x) = (2(-1e^(1(-3|x + 3| + 2)) + 2) - 3)/(1(-1e^(1(-3|x + 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 average of all x-coordinates of local extrema of the function f(x) = -1(1(3cos(3πx + 1) + 3) + 5) + 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(-1|(-2|x - 1| + 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 leftmost local minimum of the function f(x) = 3|(-1cos(3π((-1x - 3)/(3x + 1)) + 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 rightmost local maximum of the function f(x) = 2|(1sin(1π(1x^2 + 1x + 4)) + 1) + 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 maxima does the function f(x) = -2|(5(2x^2 + 1x - 5) + 2) - 2| - 2 have in the interval [-10, 10]?

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


[User]
How many local minima does the function f(x) = -3(-1e^(-1((-1x + 2)/(2x + 1))) + 1)^2 + 5(-1e^(-1((-1x + 2)/(2x + 1))) + 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) = (1(4(-2|x + 2| + 2) + 4) - 3)/(1(4(-2|x + 2| + 2) + 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 minimum of the function f(x) = 5((-3((2x - 3)/(3x - 2)) + 1)/(2((2x - 3)/(3x - 2)) - 3))^2 + 5((-3((2x - 3)/(3x - 2)) + 1)/(2((2x - 3)/(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 leftmost local minimum of the function f(x) = 1(-3|(1sin(2πx) - 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 maximum of the function f(x) = 1|((-2(2x^2 + 5x + 2) - 2)/(1(2x^2 + 5x + 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 rightmost local maximum of the function f(x) = -3(2(-3cos(1πx - 2) - 2)^2 - 2(-3cos(1πx - 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 leftmost local minimum of the function f(x) = -3(-3cos(2π(2x + 3) - 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 extrema of the function f(x) = -3(3sin(3π(-2x^2 + 1x - 2) + 2) - 1)^2 + 2(3sin(3π(-2x^2 + 1x - 2) + 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 maximum with the smallest y-value of the function f(x) = (2((2(-3cos(1πx) - 2) - 1)/(3(-3cos(1πx) - 2) - 2)) + 1)/(-3((2(-3cos(1πx) - 2) - 1)/(3(-3cos(1πx) - 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 average of all x-coordinates of local minima of the function f(x) = -2sin(2π(-1|(-3x^2 + 5x - 4) + 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) = -2e^(-1(5(3x^2 - 3x + 3))) + 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 extremum of the function f(x) = (3(-5(-2cos(2πx) + 2) + 1))/(-2(-5(-2cos(2πx) + 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 smallest y-value of the function f(x) = -5(3|(-4x^2 + 1x + 5) - 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|((3(-2cos(3πx + 1) + 1) + 2)/(-1(-2cos(3πx + 1) + 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 x-coordinate of the local extremum with the largest y-value of the function f(x) = (1(2sin(3π(4x - 2)) + 2) + 2)/(2(2sin(3π(4x - 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 maximum with the smallest y-value of the function f(x) = (-3(3(3cos(3πx + 1) + 1) + 5) + 2)/(-3(3(3cos(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 extremum of the function f(x) = (3(2(-5x + 4)^2 - 1(-5x + 4) + 1) - 3)/(1(2(-5x + 4)^2 - 1(-5x + 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 extremum of the function f(x) = 3((3(1x^2 + 3x - 3) + 1)/(1(1x^2 + 3x - 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) = 1(-1sin(3π((-2x + 3)/(2x + 1)) + 1) - 3)^2 + 5(-1sin(3π((-2x + 3)/(2x + 1)) + 1) - 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 extremum with the smallest y-value of the function f(x) = 2cos(3π(3|(-5x + 5) + 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 average of all x-coordinates of local minima of the function f(x) = -1|(-2sin(3π(-2|x + 1| + 1) - 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 extremum of the function f(x) = (-2(1(-2x - 3)^2 - 3(-2x - 3) + 5) + 2)/(-2(1(-2x - 3)^2 - 3(-2x - 3) + 5) + 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|(-1|(-2e^(2x) + 3) - 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 minima of the function f(x) = -1(1cos(3π((3x + 2)/(-2x - 1)) + 3) + 2)^2 - 2(1cos(3π((3x + 2)/(-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 x-coordinate of the leftmost local maximum of the function f(x) = 4(3|(-2sin(1πx - 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 x-coordinate of the leftmost local minimum of the function f(x) = -3cos(2π(-1(-1x^2 - 4x) + 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 maximum of the function f(x) = -2e^(1(2((1x - 2)/(3x))^2 + 3((1x - 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 of the function f(x) = (-3(3(-3x)^2 + 1(-3x) + 1) - 1)/(3(3(-3x)^2 + 1(-3x) + 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) = -2|(-3(1x^2 + 4x - 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 minimum with the largest y-value of the function f(x) = 1(2e^(-2(-4x^2 - 2x - 3)) + 3)^2 - 4(2e^(-2(-4x^2 - 2x - 3)) + 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) = -2|((2(3x^2 - 2x + 5))/(1(3x^2 - 2x + 5) + 2)) - 2| - 3 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|(-3(-1x^2 + 5x + 1) - 5) + 1| + 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) = -4(-2cos(1π(-4x + 3) + 2) + 1)^2 - 3(-2cos(1π(-4x + 3) + 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 minima does the function f(x) = -2e^(-2(-4(2|x + 1| + 1) - 5)) + 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 extremum of the function f(x) = 2((1((-2x - 2)/(2x + 1)) - 3)/(1((-2x - 2)/(2x + 1)) - 2))^2 + 1((1((-2x - 2)/(2x + 1)) - 3)/(1((-2x - 2)/(2x + 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 average of all x-coordinates of local maxima of the function f(x) = 3cos(3π(-4(-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 local minimum with the largest y-value of the function f(x) = 5(-2((-2x)/(3x + 2)) + 4)^2 + 4(-2((-2x)/(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 x-coordinate of the leftmost local extremum of the function f(x) = 3sin(2π(-3|(1x - 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 rightmost local extremum of the function f(x) = -2|(2|(-2x^2 - 3x) + 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 x-coordinate of the local maximum of the function f(x) = -2((2(-1x^2 + 1x - 4) + 2)/(2(-1x^2 + 1x - 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 maxima of the function f(x) = (3(3|(1|x + 1| - 1) + 1| + 1) + 3)/(-2(3|(1|x + 1| - 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 local minimum with the largest y-value of the function f(x) = 1sin(1π(1(-3x) - 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 extremum of the function f(x) = -1(4((1x + 1)/(1x + 3)) + 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 x-coordinate of the rightmost local maximum of the function f(x) = 2(3cos(3π(-2|x - 3| + 1) - 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 leftmost local extremum of the function f(x) = 4(2e^(2(-3|x - 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 leftmost local maximum of the function f(x) = -2cos(1π((-2(-1x^2 + 5x + 3) - 3)/(1(-1x^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 rightmost local minimum of the function f(x) = (2(-3(-3e^(2x) - 3)^2 + 1(-3e^(2x) - 3) - 5) - 2)/(2(-3(-3e^(2x) - 3)^2 + 1(-3e^(2x) - 3) - 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 leftmost local maximum of the function f(x) = (-3(-4(2sin(3πx - 2) - 3)^2 + 4(2sin(3πx - 2) - 3) + 5) - 3)/(-3(-4(2sin(3πx - 2) - 3)^2 + 4(2sin(3πx - 2) - 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 rightmost local maximum of the function f(x) = 2sin(3π(-3((1x + 2)/(-3x))) + 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) = -2e^(-1(-1(2|x - 2| + 3)^2 + 3(2|x - 2| + 3) - 4)) - 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) = 1(4(-3|x - 3| + 3)^2 - 2(-3|x - 3| + 3))^2 - 4(4(-3|x - 3| + 3)^2 - 2(-3|x - 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 leftmost local minimum of the function f(x) = -1|(-3(1cos(2πx) - 1)^2 - 2(1cos(2πx) - 1) - 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 average of all x-coordinates of local minima of the function f(x) = 1cos(2π(-3(-3|x + 1| + 1)^2 + 2(-3|x + 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]
How many local extrema (both minima and maxima) does the function f(x) = -3(-3cos(2π(2|x - 3| + 1) - 2) - 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) = (-2(5(3cos(1πx + 3) + 2)^2 + 5(3cos(1πx + 3) + 2) - 5) + 2)/(2(5(3cos(1πx + 3) + 2)^2 + 5(3cos(1πx + 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) = -1sin(2π(5((1x - 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 x-coordinate of the leftmost local extremum of the function f(x) = -3sin(2π(2|(1|x + 2| - 3) + 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 of the function f(x) = 3e^(-2(-2|(2x - 4) - 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 largest y-value of the function f(x) = -2cos(1π(1(3x - 5)^2 + 2(3x - 5) - 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 minimum of the function f(x) = (-2(-2(1sin(2πx) - 1) + 1) - 3)/(2(-2(1sin(2πx) - 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) = (1(1(3x^2 + 3x + 5)^2 + 1(3x^2 + 3x + 5) + 1) - 1)/(-2(1(3x^2 + 3x + 5)^2 + 1(3x^2 + 3x + 5) + 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) = 3cos(2π(2(4x^2 + 1x - 3) - 1)) in the interval [-10, 10]. Round to the nearest integer.

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