[User]
If you add up all the x-coordinates where the functions f(x) = (-3((-1(-3(1(2|(1|x + 3| + 3) - 1| - 2) - 2)^2 + 1(1(2|(1|x + 3| + 3) - 1| - 2) - 2) + 2) + 2)/(2(-3(1(2|(1|x + 3| + 3) - 1| - 2) - 2)^2 + 1(1(2|(1|x + 3| + 3) - 1| - 2) - 2) + 2) - 3)) - 1)/(-2((-1(-3(1(2|(1|x + 3| + 3) - 1| - 2) - 2)^2 + 1(1(2|(1|x + 3| + 3) - 1| - 2) - 2) + 2) + 2)/(2(-3(1(2|(1|x + 3| + 3) - 1| - 2) - 2)^2 + 1(1(2|(1|x + 3| + 3) - 1| - 2) - 2) + 2) - 3)) - 3) and g(x) = 1(4(2|(3|(-3cos(2πx - 3) - 1) + 2|) + 1| - 2)^2 - 2(2|(3|(-3cos(2πx - 3) - 1) + 2|) + 1| - 2) - 5) + 5 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = 2(-1|(-1((-1((-3(1x^2 - 3x + 3) + 3)/(2(1x^2 - 3x + 3) - 1)) - 3)/(-2((-3(1x^2 - 3x + 3) + 3)/(2(1x^2 - 3x + 3) - 1)) + 3))^2 - 2((-1((-3(1x^2 - 3x + 3) + 3)/(2(1x^2 - 3x + 3) - 1)) - 3)/(-2((-3(1x^2 - 3x + 3) + 3)/(2(1x^2 - 3x + 3) - 1)) + 3)) - 2)| - 3) - 1 and g(x) = (3((1(1(-1(-1x + 5) + 1) - 1) - 2)/(-3(1(-1(-1x + 5) + 1) - 1) + 1)) + 3)/(-1((1(1(-1(-1x + 5) + 1) - 1) - 2)/(-3(1(-1(-1x + 5) + 1) - 1) + 1)) + 2) meet in the interval [-10, 10]?

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


[User]
Find the second intersection point (counting from left to right) between the functions f(x) = (2((-2(-2((-2((-3(-1x^2 + 2x - 1) + 2)/(-1(-1x^2 + 2x - 1) - 1)))/(-3((-3(-1x^2 + 2x - 1) + 2)/(-1(-1x^2 + 2x - 1) - 1)) - 3)) - 2) - 1)/(1(-2((-2((-3(-1x^2 + 2x - 1) + 2)/(-1(-1x^2 + 2x - 1) - 1)))/(-3((-3(-1x^2 + 2x - 1) + 2)/(-1(-1x^2 + 2x - 1) - 1)) - 3)) - 2) + 2)) - 2)/(1((-2(-2((-2((-3(-1x^2 + 2x - 1) + 2)/(-1(-1x^2 + 2x - 1) - 1)))/(-3((-3(-1x^2 + 2x - 1) + 2)/(-1(-1x^2 + 2x - 1) - 1)) - 3)) - 2) - 1)/(1(-2((-2((-3(-1x^2 + 2x - 1) + 2)/(-1(-1x^2 + 2x - 1) - 1)))/(-3((-3(-1x^2 + 2x - 1) + 2)/(-1(-1x^2 + 2x - 1) - 1)) - 3)) - 2) + 2)) - 3) and g(x) = 2((-1(1((-2((3x)/(-3x - 2)) + 1)/(-1((3x)/(-3x - 2)) - 3)) - 2))/(-2(1((-2((3x)/(-3x - 2)) + 1)/(-1((3x)/(-3x - 2)) - 3)) - 2) - 1))^2 + 1((-1(1((-2((3x)/(-3x - 2)) + 1)/(-1((3x)/(-3x - 2)) - 3)) - 2))/(-2(1((-2((3x)/(-3x - 2)) + 1)/(-1((3x)/(-3x - 2)) - 3)) - 2) - 1)) - 2 in the interval [-10, 10], rounded to the nearest integer.

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


[User]
Find the integer closest to the smallest x-value where the functions f(x) = (-1((2(2|(1|(5(-2|x + 2| - 1)^2 - 2(-2|x + 2| - 1) - 1) - 2| - 1) + 2| + 3) + 1)/(-1(2|(1|(5(-2|x + 2| - 1)^2 - 2(-2|x + 2| - 1) - 1) - 2| - 1) + 2| + 3) + 2)) + 1)/(3((2(2|(1|(5(-2|x + 2| - 1)^2 - 2(-2|x + 2| - 1) - 1) - 2| - 1) + 2| + 3) + 1)/(-1(2|(1|(5(-2|x + 2| - 1)^2 - 2(-2|x + 2| - 1) - 1) - 2| - 1) + 2| + 3) + 2))) and g(x) = (1((-3(4(-1(5x - 2)^2 - 4(5x - 2) + 5) + 2) + 2)/(1(4(-1(5x - 2)^2 - 4(5x - 2) + 5) + 2) - 3)) - 3)/(-2((-3(4(-1(5x - 2)^2 - 4(5x - 2) + 5) + 2) + 2)/(1(4(-1(5x - 2)^2 - 4(5x - 2) + 5) + 2) - 3)) - 2) meet in the interval [-10, 10].

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


[User]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = -2(1(2(-1sin(2π((3(3x + 5) - 3)/(-1(3x + 5) - 3)) - 2) - 1) + 3) + 5) and g(x) = 3(-1(-1((2((-1x - 2)/(-3x + 1)) + 1)/(-3((-1x - 2)/(-3x + 1)) - 2))^2 - 1)^2 + 1(-1((2((-1x - 2)/(-3x + 1)) + 1)/(-3((-1x - 2)/(-3x + 1)) - 2))^2 - 1) + 5) - 1 intersect in the interval [-10, 10]?

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


[User]
Find the integer value closest to the x-coordinate where f(x) = -3|(2|(-1e^(-1((3(-1(1x^2 + 4x) - 5) - 3)/(3(-1(1x^2 + 4x) - 5) - 1))) - 1) - 2| - 2) + 1| + 2 and g(x) = -1((-2(-1((-3((-2x + 3)/(3x - 2)) - 2)/(-3((-2x + 3)/(3x - 2)))) + 3) + 1)/(2(-1((-3((-2x + 3)/(3x - 2)) - 2)/(-3((-2x + 3)/(3x - 2)))) + 3) - 3)) + 2 intersect in the range -10 ≤ x ≤ 10.

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


[User]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = (-2(3(-3|(-3|(3sin(3π(2x^2 - 4x + 3) + 1) + 2) + 2| - 2) + 2| - 3)^2 + 4(-3|(-3|(3sin(3π(2x^2 - 4x + 3) + 1) + 2) + 2| - 2) + 2| - 3) + 5) - 1)/(-3(3(-3|(-3|(3sin(3π(2x^2 - 4x + 3) + 1) + 2) + 2| - 2) + 2| - 3)^2 + 4(-3|(-3|(3sin(3π(2x^2 - 4x + 3) + 1) + 2) + 2| - 2) + 2| - 3) + 5) - 2) and g(x) = -1(1(-1|(2|((-1x - 1)/(-3x)) + 1| - 3)| + 3) - 1) - 3 intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = (1(1(-1|((-2(1(2|x - 1| - 3) + 1) - 3)/(2(1(2|x - 1| - 3) + 1) - 1)) + 2| + 1)^2 - 1(-1|((-2(1(2|x - 1| - 3) + 1) - 3)/(2(1(2|x - 1| - 3) + 1) - 1)) + 2| + 1) + 3) - 3)/(-3(1(-1|((-2(1(2|x - 1| - 3) + 1) - 3)/(2(1(2|x - 1| - 3) + 1) - 1)) + 2| + 1)^2 - 1(-1|((-2(1(2|x - 1| - 3) + 1) - 3)/(2(1(2|x - 1| - 3) + 1) - 1)) + 2| + 1) + 3)) and g(x) = 1((-2(1((1(-1x - 4) - 3)/(1(-1x - 4) - 2)) - 1) + 3)/(2(1((1(-1x - 4) - 3)/(1(-1x - 4) - 2)) - 1) + 1)) + 5 meet in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = -5(-1|(2|(-1|(-1(1e^(-2x) - 1) + 2) - 2| - 3) + 1| - 2) + 1| - 3) and g(x) = 3|(-3(-2((-1(1|x + 2| + 3) - 2)/(-2(1|x + 2| + 3) + 1)) + 5)^2 - 1(-2((-1(1|x + 2| + 3) - 2)/(-2(1|x + 2| + 3) + 1)) + 5) - 1) + 1| + 2 meet in the interval [-10, 10]?

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


[User]
If you add up all the x-coordinates where the functions f(x) = 1|(-3(2(1|(1|(2x^2 - 4x) + 3| - 2) - 3| + 1)^2 - 2(1|(1|(2x^2 - 4x) + 3| - 2) - 3| + 1) + 2)) - 2| + 3 and g(x) = (1(2|(-2(-2|(1sin(2πx + 1) + 2) + 1| + 3)^2 - 3(-2|(1sin(2πx + 1) + 2) + 1| + 3) + 4) - 2|) + 2)/(2(2|(-2(-2|(1sin(2πx + 1) + 2) + 1| + 3)^2 - 3(-2|(1sin(2πx + 1) + 2) + 1| + 3) + 4) - 2|) - 3) meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = (-2((-2(-1|(-4(-5(4x + 3) - 4) - 5) - 1| - 2) - 1)/(3(-1|(-4(-5(4x + 3) - 4) - 5) - 1| - 2) - 1)) - 2)/(1((-2(-1|(-4(-5(4x + 3) - 4) - 5) - 1| - 2) - 1)/(3(-1|(-4(-5(4x + 3) - 4) - 5) - 1| - 2) - 1)) + 3) and g(x) = -1|(-2|(-1((-1((2x + 1)/(1x + 3)) - 3)/(-2((2x + 1)/(1x + 3)) - 1)) - 2) - 2| - 2) + 1| + 1 intersect in the interval [-10, 10].

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


[User]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = -1|(-1|((-1(3cos(1π(4(3|x - 3| - 1) - 3) + 1)) - 2)/(2(3cos(1π(4(3|x - 3| - 1) - 3) + 1)))) - 1| - 1) - 2| - 1 and g(x) = (-2(-3e^(-1(-1(1(1x + 1)^2 + 4(1x + 1) - 2)^2 + 2(1(1x + 1)^2 + 4(1x + 1) - 2) + 3)) + 3) - 3)/(2(-3e^(-1(-1(1(1x + 1)^2 + 4(1x + 1) - 2)^2 + 2(1(1x + 1)^2 + 4(1x + 1) - 2) + 3)) + 3) + 2) intersect in the interval [-10, 10]?

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = -2|(2|((-3(-2(1|((-1x - 2)/(1x + 3))| + 3)^2 + 4(1|((-1x - 2)/(1x + 3))| + 3) + 5))/(2(-2(1|((-1x - 2)/(1x + 3))| + 3)^2 + 4(1|((-1x - 2)/(1x + 3))| + 3) + 5) + 2)) + 1| + 2) - 3| - 1 and g(x) = -3((3(1(4(1x + 4)^2 + 2(1x + 4) - 5)) + 1)/(-3(1(4(1x + 4)^2 + 2(1x + 4) - 5)) - 3)) - 1 intersect in the interval [-10, 10].

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = -4((-1(4((-2((-2(3x - 2))/(-1(3x - 2) + 2)) - 3)/(-1((-2(3x - 2))/(-1(3x - 2) + 2)) - 2)) + 1) - 1)/(1(4((-2((-2(3x - 2))/(-1(3x - 2) + 2)) - 3)/(-1((-2(3x - 2))/(-1(3x - 2) + 2)) - 2)) + 1)))^2 + 1((-1(4((-2((-2(3x - 2))/(-1(3x - 2) + 2)) - 3)/(-1((-2(3x - 2))/(-1(3x - 2) + 2)) - 2)) + 1) - 1)/(1(4((-2((-2(3x - 2))/(-1(3x - 2) + 2)) - 3)/(-1((-2(3x - 2))/(-1(3x - 2) + 2)) - 2)) + 1))) + 1 and g(x) = (1((1(1|(-3e^(1(-2x^2 - 3x - 3)) + 3) - 2| + 3) - 3)/(-2(1|(-3e^(1(-2x^2 - 3x - 3)) + 3) - 2| + 3) - 3)) - 2)/(3((1(1|(-3e^(1(-2x^2 - 3x - 3)) + 3) - 2| + 3) - 3)/(-2(1|(-3e^(1(-2x^2 - 3x - 3)) + 3) - 2| + 3) - 3)) - 2) meet in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = 3|(1|(-1((3(-1|(1x^2 - 3x + 5) + 1| - 2) + 1)/(3(-1|(1x^2 - 3x + 5) + 1| - 2) - 2))^2 - 1((3(-1|(1x^2 - 3x + 5) + 1| - 2) + 1)/(3(-1|(1x^2 - 3x + 5) + 1| - 2) - 2))) + 3| + 2) - 3| - 1 and g(x) = (-3(1(-1(-1|(-4x^2 - 1x - 1) + 2| + 1))^2 - 5) - 2)/(2(1(-1(-1|(-4x^2 - 1x - 1) + 2| + 1))^2 - 5) - 1) intersect in the interval [-10, 10]?

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


[User]
Find the integer value closest to the x-coordinate where f(x) = -3(-5((2((3((-3(-3cos(1πx) + 1) + 2)/(-1(-3cos(1πx) + 1) + 3)) + 2)/(-1((-3(-3cos(1πx) + 1) + 2)/(-1(-3cos(1πx) + 1) + 3)))) + 1)/(2((3((-3(-3cos(1πx) + 1) + 2)/(-1(-3cos(1πx) + 1) + 3)) + 2)/(-1((-3(-3cos(1πx) + 1) + 2)/(-1(-3cos(1πx) + 1) + 3)))) - 1)) + 2) + 4 and g(x) = 4(-1(-2(-2|(3x + 5) - 1|)^2 - 2(-2|(3x + 5) - 1|) - 1)^2 - 2)^2 + 2(-1(-2(-2|(3x + 5) - 1|)^2 - 2(-2|(3x + 5) - 1|) - 1)^2 - 2) intersect in the range -10 ≤ x ≤ 10.

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = (-2(-2e^(1(2(-1|((-3(1x^2 + 4x + 3) - 2)/(1(1x^2 + 4x + 3))) + 3| - 2) + 3)) + 2) + 2)/(1(-2e^(1(2(-1|((-3(1x^2 + 4x + 3) - 2)/(1(1x^2 + 4x + 3))) + 3| - 2) + 3)) + 2) + 1) and g(x) = 1((2((2(-1((-1x - 1)/(1x - 3)) + 2) + 1)/(-2(-1((-1x - 1)/(1x - 3)) + 2))) - 3)/(3((2(-1((-1x - 1)/(1x - 3)) + 2) + 1)/(-2(-1((-1x - 1)/(1x - 3)) + 2))) + 3)) - 5 meet in the interval [-10, 10]?

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


[User]
Find the integer value closest to the x-coordinate where f(x) = (-1((3(1(1|((3((-2x - 2)/(2x - 1)) + 3)/(2((-2x - 2)/(2x - 1)) - 3)) + 2| - 2) - 3) + 3)/(1(1(1|((3((-2x - 2)/(2x - 1)) + 3)/(2((-2x - 2)/(2x - 1)) - 3)) + 2| - 2) - 3) + 3)) - 1)/(-2((3(1(1|((3((-2x - 2)/(2x - 1)) + 3)/(2((-2x - 2)/(2x - 1)) - 3)) + 2| - 2) - 3) + 3)/(1(1(1|((3((-2x - 2)/(2x - 1)) + 3)/(2((-2x - 2)/(2x - 1)) - 3)) + 2| - 2) - 3) + 3))) and g(x) = -3((-3(-3e^(-1(2|(3|x + 2| - 1) + 2| - 3)) - 2) + 1)/(-3(-3e^(-1(2|(3|x + 2| - 1) + 2| - 3)) - 2) + 1))^2 + 3((-3(-3e^(-1(2|(3|x + 2| - 1) + 2| - 3)) - 2) + 1)/(-3(-3e^(-1(2|(3|x + 2| - 1) + 2| - 3)) - 2) + 1)) + 5 intersect in the range -10 ≤ x ≤ 10.

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


[User]
Find the integer value closest to the x-coordinate where f(x) = (3(1((2(2((-1((-3x)/(-1x + 2)) - 2)/(-2((-3x)/(-1x + 2)) + 3)) - 2) - 1)/(2(2((-1((-3x)/(-1x + 2)) - 2)/(-2((-3x)/(-1x + 2)) + 3)) - 2) + 2))^2 - 2((2(2((-1((-3x)/(-1x + 2)) - 2)/(-2((-3x)/(-1x + 2)) + 3)) - 2) - 1)/(2(2((-1((-3x)/(-1x + 2)) - 2)/(-2((-3x)/(-1x + 2)) + 3)) - 2) + 2)) - 5) + 3)/(2(1((2(2((-1((-3x)/(-1x + 2)) - 2)/(-2((-3x)/(-1x + 2)) + 3)) - 2) - 1)/(2(2((-1((-3x)/(-1x + 2)) - 2)/(-2((-3x)/(-1x + 2)) + 3)) - 2) + 2))^2 - 2((2(2((-1((-3x)/(-1x + 2)) - 2)/(-2((-3x)/(-1x + 2)) + 3)) - 2) - 1)/(2(2((-1((-3x)/(-1x + 2)) - 2)/(-2((-3x)/(-1x + 2)) + 3)) - 2) + 2)) - 5)) and g(x) = 5(1(4((3(2|x + 1| - 1) + 2)/(3(2|x + 1| - 1)))^2 + 4((3(2|x + 1| - 1) + 2)/(3(2|x + 1| - 1))) - 4) - 2)^2 - 5(1(4((3(2|x + 1| - 1) + 2)/(3(2|x + 1| - 1)))^2 + 4((3(2|x + 1| - 1) + 2)/(3(2|x + 1| - 1))) - 4) - 2) + 5 intersect in the range -10 ≤ x ≤ 10.

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = 3(1cos(2π((-1(-1(-2|((-1x + 3)/(3x + 3))| - 3)^2 + 1(-2|((-1x + 3)/(3x + 3))| - 3) - 2) - 1)/(-1(-1(-2|((-1x + 3)/(3x + 3))| - 3)^2 + 1(-2|((-1x + 3)/(3x + 3))| - 3) - 2) - 2))) + 3) + 1 and g(x) = -2((-3(3e^(-1(3(-2x^2 - 3x - 2)^2 - 2(-2x^2 - 3x - 2) - 3))) - 1)/(1(3e^(-1(3(-2x^2 - 3x - 2)^2 - 2(-2x^2 - 3x - 2) - 3))))) - 3 meet in the interval [-10, 10]?

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


[User]
When ordered from left to right, what is the third x-coordinate (rounded to the nearest integer) where f(x) = -2|(5(4((-2(-1(1x^2 - 1x + 4)^2 + 4(1x^2 - 1x + 4) + 5))/(-2(-1(1x^2 - 1x + 4)^2 + 4(1x^2 - 1x + 4) + 5) + 1))^2 + 2((-2(-1(1x^2 - 1x + 4)^2 + 4(1x^2 - 1x + 4) + 5))/(-2(-1(1x^2 - 1x + 4)^2 + 4(1x^2 - 1x + 4) + 5) + 1))) + 2) + 3| + 2 and g(x) = -1e^(1(3((-2(-1|(-5x^2 + 1x - 4) + 2| + 3) + 1)/(1(-1|(-5x^2 + 1x - 4) + 2| + 3)))^2 + 4((-2(-1|(-5x^2 + 1x - 4) + 2| + 3) + 1)/(1(-1|(-5x^2 + 1x - 4) + 2| + 3))) + 4)) - 3 intersect in the interval [-10, 10]?

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


[User]
If you add up all the x-coordinates where the functions f(x) = (2(1((-3(-1(-3(-1|x| + 1) + 2)) - 1)/(2(-1(-3(-1|x| + 1) + 2)) + 2))^2 + 4((-3(-1(-3(-1|x| + 1) + 2)) - 1)/(2(-1(-3(-1|x| + 1) + 2)) + 2))) + 1)/(-2(1((-3(-1(-3(-1|x| + 1) + 2)) - 1)/(2(-1(-3(-1|x| + 1) + 2)) + 2))^2 + 4((-3(-1(-3(-1|x| + 1) + 2)) - 1)/(2(-1(-3(-1|x| + 1) + 2)) + 2)))) and g(x) = (-2(-2cos(2π((3(5((-2x + 2)/(3x + 1))^2 - 4((-2x + 2)/(3x + 1)) - 3) - 1)/(1(5((-2x + 2)/(3x + 1))^2 - 4((-2x + 2)/(3x + 1)) - 3) - 3)) + 3)) - 3)/(1(-2cos(2π((3(5((-2x + 2)/(3x + 1))^2 - 4((-2x + 2)/(3x + 1)) - 3) - 1)/(1(5((-2x + 2)/(3x + 1))^2 - 4((-2x + 2)/(3x + 1)) - 3) - 3)) + 3))) meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
Round to the nearest integer: what is the leftmost x-coordinate where f(x) = -2(-4(2|((-3(2(-2|x| + 2) + 5) + 3)/(2(2(-2|x| + 2) + 5) - 1)) + 3| + 2) + 4)^2 + 3(-4(2|((-3(2(-2|x| + 2) + 5) + 3)/(2(2(-2|x| + 2) + 5) - 1)) + 3| + 2) + 4) + 3 and g(x) = -1e^(-1(4((-1(-3|(5x + 3)| + 2) + 1)/(3(-3|(5x + 3)| + 2) - 2))^2 - 2((-1(-3|(5x + 3)| + 2) + 1)/(3(-3|(5x + 3)| + 2) - 2)) - 5)) + 3 intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the leftmost x-coordinate where f(x) = -3|(2((-2(-2|(5(-3x - 4) - 2) + 2| + 2))/(-2(-2|(5(-3x - 4) - 2) + 2| + 2)))^2 - 3((-2(-2|(5(-3x - 4) - 2) + 2| + 2))/(-2(-2|(5(-3x - 4) - 2) + 2| + 2))) + 2) + 2| - 2 and g(x) = -2(4((3((-2((-2x - 3)/(-3x + 1)) - 3)/(1((-2x - 3)/(-3x + 1)) - 2)) - 2)/(-3((-2((-2x - 3)/(-3x + 1)) - 3)/(1((-2x - 3)/(-3x + 1)) - 2)) + 4))^2 - 4((3((-2((-2x - 3)/(-3x + 1)) - 3)/(1((-2x - 3)/(-3x + 1)) - 2)) - 2)/(-3((-2((-2x - 3)/(-3x + 1)) - 3)/(1((-2x - 3)/(-3x + 1)) - 2)) + 4)) - 1) + 5 intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = 3(-3((-3(2(-2(3x^2 + 4x - 3) - 5) - 2) - 2)/(1(2(-2(3x^2 + 4x - 3) - 5) - 2)))^2 + 4((-3(2(-2(3x^2 + 4x - 3) - 5) - 2) - 2)/(1(2(-2(3x^2 + 4x - 3) - 5) - 2))) + 3) + 2 and g(x) = -5(4(2e^(2(-2((2x - 3)/(-1x - 2)) + 3)) - 3) - 5) + 2 meet in the interval [-10, 10]?

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = -1(1|(1|(-1(3(-2|x - 1|)^2 - 3) + 4) + 3| - 2) + 1| + 3)^2 - 4(1|(1|(-1(3(-2|x - 1|)^2 - 3) + 4) + 3| - 2) + 1| + 3) - 2 and g(x) = -1|(-2(-1|(4(3e^(-2x) + 3)^2 - 1) + 2| + 2) - 2) + 1| - 3 meet in the interval [-10, 10].

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


[User]
When ordered from left to right, what is the first x-coordinate (rounded to the nearest integer) where f(x) = 3|(-1|(3((-3(4(2|x + 3| + 3) - 5))/(2(4(2|x + 3| + 3) - 5) - 1))^2 - 1((-3(4(2|x + 3| + 3) - 5))/(2(4(2|x + 3| + 3) - 5) - 1)) - 3) + 2| - 1)| + 3 and g(x) = 1|(-1|(-5(-2(5x^2 - 1x + 2) + 4)^2 + 3(-2(5x^2 - 1x + 2) + 4) + 2) + 2| - 1) - 2| + 1 intersect in the interval [-10, 10]?

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = (-1(-2(-2((2(-4(-2x - 2) + 1) + 1)/(-1(-4(-2x - 2) + 1) - 1)) - 3)^2 - 3(-2((2(-4(-2x - 2) + 1) + 1)/(-1(-4(-2x - 2) + 1) - 1)) - 3) - 1) - 1)/(-1(-2(-2((2(-4(-2x - 2) + 1) + 1)/(-1(-4(-2x - 2) + 1) - 1)) - 3)^2 - 3(-2((2(-4(-2x - 2) + 1) + 1)/(-1(-4(-2x - 2) + 1) - 1)) - 3) - 1) - 3) and g(x) = (-2(-1(-3(2(2|x| + 3) + 2) - 5)^2 - 2(-3(2(2|x| + 3) + 2) - 5) + 4) + 1)/(1(-1(-3(2(2|x| + 3) + 2) - 5)^2 - 2(-3(2(2|x| + 3) + 2) - 5) + 4) + 1) intersect in the interval [-10, 10].

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = 2e^(-2(1(-1(2(5(2x + 3) + 5)^2 - 1(5(2x + 3) + 5))) + 5)) + 3 and g(x) = 1e^(1(-3((1(3|(-1x^2 + 2x + 4) - 1| - 1) - 3)/(3(3|(-1x^2 + 2x + 4) - 1| - 1) + 2))^2 + 4((1(3|(-1x^2 + 2x + 4) - 1| - 1) - 3)/(3(3|(-1x^2 + 2x + 4) - 1| - 1) + 2)) + 5)) + 1 meet in the interval [-10, 10].

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


[User]
Find the integer value closest to the x-coordinate where f(x) = (-1(3|(5(2(2cos(2π((2x + 2)/(1x)) + 2) - 2) - 4) + 3) + 3| - 1) - 1)/(1(3|(5(2(2cos(2π((2x + 2)/(1x)) + 2) - 2) - 4) + 3) + 3| - 1) - 3) and g(x) = (1(1(3e^(1((1((-3x + 2)/(3x + 2)) + 3)/(2((-3x + 2)/(3x + 2)) - 1))) - 1) - 2) - 3)/(3(1(3e^(1((1((-3x + 2)/(3x + 2)) + 3)/(2((-3x + 2)/(3x + 2)) - 1))) - 1) - 2) + 1) intersect in the range -10 ≤ x ≤ 10.

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


[User]
When ordered from left to right, what is the second x-coordinate (rounded to the nearest integer) where f(x) = -4(3|(-5(-3(-4(-2x + 2) + 5)) + 1) - 1| - 2) - 3 and g(x) = -1|(-1sin(1π(-1|(-1(4x + 5)^2 + 4(4x + 5) + 5) - 2| - 1) - 1) - 3) + 1| + 1 intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the leftmost x-coordinate where f(x) = -3|(1|(-4(3(1(2sin(3πx - 3) - 2) + 5) + 2) + 5) - 1| - 1) + 1| - 2 and g(x) = 1(-3(1(3(-2e^(-1x) + 1)^2 + 5(-2e^(-1x) + 1) + 2)^2 - 4(3(-2e^(-1x) + 1)^2 + 5(-2e^(-1x) + 1) + 2) + 2)^2 + 2(1(3(-2e^(-1x) + 1)^2 + 5(-2e^(-1x) + 1) + 2)^2 - 4(3(-2e^(-1x) + 1)^2 + 5(-2e^(-1x) + 1) + 2) + 2) - 1) - 5 intersect in the interval [-10, 10]?

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


[User]
Find the second intersection point (counting from left to right) between the functions f(x) = (1(4(1|((3(3|(2x - 1)| + 3))/(-2(3|(2x - 1)| + 3) - 2))| + 3) + 3) - 3)/(-3(4(1|((3(3|(2x - 1)| + 3))/(-2(3|(2x - 1)| + 3) - 2))| + 3) + 3) + 1) and g(x) = 2sin(2π(-2|((2(5(1x^2 + 3) + 5) + 2)/(-2(5(1x^2 + 3) + 5) - 1)) + 1| - 2)) in the interval [-10, 10], rounded to the nearest integer.

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = -2|(-2|(3|(3(1e^(-2(2x^2 + 2x)) - 3) + 4) + 1| - 1) + 3|) - 3| - 1 and g(x) = (2(3(-2|(-4((-1x + 1)/(-1x + 2)) - 2) + 3| + 1) - 1) - 1)/(-1(3(-2|(-4((-1x + 1)/(-1x + 2)) - 2) + 3| + 1) - 1) - 2) meet in the interval [-10, 10].

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = -3|(1|(5((-2((-3(-3e^(-1x) + 1) + 3)/(1(-3e^(-1x) + 1))) + 3)/(3((-3(-3e^(-1x) + 1) + 3)/(1(-3e^(-1x) + 1))) - 2)) - 1) - 1| + 1) + 3| - 1 and g(x) = -2|(3(1|(-4(2|x - 2| + 1))| - 1) + 1) + 1| - 3 meet in the interval [-10, 10].

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = (2((-3(-1(-3|(3(3cos(2πx - 1) + 2) - 1) - 3| - 3) - 3) + 3)/(-3(-1(-3|(3(3cos(2πx - 1) + 2) - 1) - 3| - 3) - 3) + 4)) + 1)/(1((-3(-1(-3|(3(3cos(2πx - 1) + 2) - 1) - 3| - 3) - 3) + 3)/(-3(-1(-3|(3(3cos(2πx - 1) + 2) - 1) - 3| - 3) - 3) + 4))) and g(x) = 4(4(1(1((-3x + 2)/(1x)) + 5)^2 + 5(1((-3x + 2)/(1x)) + 5) + 2) - 2) + 4 meet in the interval [-10, 10].

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = (-3(1(1(2(-4(1x - 5) - 5) + 3) + 2) + 5) - 1)/(-2(1(1(2(-4(1x - 5) - 5) + 3) + 2) + 5) - 1) and g(x) = 2|(2|((1(2|(1x^2 + 5x + 5) + 1| - 1) + 2)/(1(2|(1x^2 + 5x + 5) + 1| - 1) + 2)) + 3| + 2)| - 3 meet in the interval [-10, 10]?

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


[User]
Find the integer value closest to the x-coordinate where f(x) = -2|((-2(-5(-1(3|(1|x - 2| - 1)|) + 1)^2 - 2(-1(3|(1|x - 2| - 1)|) + 1) + 1) + 2)/(-2(-5(-1(3|(1|x - 2| - 1)|) + 1)^2 - 2(-1(3|(1|x - 2| - 1)|) + 1) + 1) - 1)) - 1| + 3 and g(x) = -2(1(-2|(-2|(-4x^2 + 4x + 5) + 3|)|)^2 + 1(-2|(-2|(-4x^2 + 4x + 5) + 3|)|) + 2) + 4 intersect in the range -10 ≤ x ≤ 10.

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = -1|(1(-4(1((3((2x)/(3x - 2)) + 2)/(-2((2x)/(3x - 2)))) + 1)^2 - 1(1((3((2x)/(3x - 2)) + 2)/(-2((2x)/(3x - 2)))) + 1) + 2) + 1) - 2| + 3 and g(x) = (-1(2|(-1|(5((-2x - 2)/(-2x + 3))^2 - 3((-2x - 2)/(-2x + 3)) - 2) - 3| + 1) + 1| + 3) + 2)/(-1(2|(-1|(5((-2x - 2)/(-2x + 3))^2 - 3((-2x - 2)/(-2x + 3)) - 2) - 3| + 1) + 1| + 3) - 1) intersect in the interval [-10, 10].

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


[User]
Find the integer value closest to the x-coordinate where f(x) = 3|(-3|(1((-1(4(-5x + 1)^2 + 1(-5x + 1) - 3) + 1)/(1(4(-5x + 1)^2 + 1(-5x + 1) - 3) + 1)) + 4) + 3| - 3) + 2| - 3 and g(x) = (-2((2(-3|((3(-1x^2 - 5x - 1) - 1)/(-3(-1x^2 - 5x - 1)))|) + 2)/(2(-3|((3(-1x^2 - 5x - 1) - 1)/(-3(-1x^2 - 5x - 1)))|) - 3)) + 3)/(-3((2(-3|((3(-1x^2 - 5x - 1) - 1)/(-3(-1x^2 - 5x - 1)))|) + 2)/(2(-3|((3(-1x^2 - 5x - 1) - 1)/(-3(-1x^2 - 5x - 1)))|) - 3))) intersect in the range -10 ≤ x ≤ 10.

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


[User]
If you add up all the x-coordinates where the functions f(x) = 1((-3(3|(3|(3|(-4x + 5) - 3| + 3) + 3| - 1) - 1| + 3) + 1)/(1(3|(3|(3|(-4x + 5) - 3| + 3) + 3| - 1) - 1| + 3) - 3))^2 - 1((-3(3|(3|(3|(-4x + 5) - 3| + 3) + 3| - 1) - 1| + 3) + 1)/(1(3|(3|(3|(-4x + 5) - 3| + 3) + 3| - 1) - 1| + 3) - 3)) + 5 and g(x) = 4((1(-2((-2(-3x^2 - 1x + 4) + 1)/(-2(-3x^2 - 1x + 4) + 3))^2 + 3((-2(-3x^2 - 1x + 4) + 1)/(-2(-3x^2 - 1x + 4) + 3)) + 4) + 3)/(-2(-2((-2(-3x^2 - 1x + 4) + 1)/(-2(-3x^2 - 1x + 4) + 3))^2 + 3((-2(-3x^2 - 1x + 4) + 1)/(-2(-3x^2 - 1x + 4) + 3)) + 4))) - 2 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
If you add up all the x-coordinates where the functions f(x) = (-1(-1cos(1π((2(4((-2(-2x - 1) - 3)/(-1(-2x - 1) + 2))) + 1)/(2(4((-2(-2x - 1) - 3)/(-1(-2x - 1) + 2))) - 3)) - 1) + 1) + 3)/(-3(-1cos(1π((2(4((-2(-2x - 1) - 3)/(-1(-2x - 1) + 2))) + 1)/(2(4((-2(-2x - 1) - 3)/(-1(-2x - 1) + 2))) - 3)) - 1) + 1) + 2) and g(x) = -2(3(2|(3e^(-1((-3x + 3)/(-3x - 1))) + 2) - 1| - 1)^2 + 2(2|(3e^(-1((-3x + 3)/(-3x - 1))) + 2) - 1| - 1) - 2) + 5 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
At what integer value (rounded) do the functions f(x) = -2(1((3((-2(2((1x - 2)/(-3x - 3)) - 2) - 2)/(1(2((1x - 2)/(-3x - 3)) - 2))))/(-1((-2(2((1x - 2)/(-3x - 3)) - 2) - 2)/(1(2((1x - 2)/(-3x - 3)) - 2))) + 3)) - 1) + 3 and g(x) = 1(-2|(3|(2|(-3|x + 1| - 1) - 3| - 1) + 1| - 1) - 1| - 2) + 5 intersect in the interval [-10, 10]?

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


[User]
When ordered from left to right, what is the first x-coordinate (rounded to the nearest integer) where f(x) = -2|(5(-2(-1((-2(5x^2 + 2x + 3) + 3)/(3(5x^2 + 2x + 3)))^2 - 5((-2(5x^2 + 2x + 3) + 3)/(3(5x^2 + 2x + 3))) + 3) - 1)^2 - 1(-2(-1((-2(5x^2 + 2x + 3) + 3)/(3(5x^2 + 2x + 3)))^2 - 5((-2(5x^2 + 2x + 3) + 3)/(3(5x^2 + 2x + 3))) + 3) - 1) - 1) + 1| - 3 and g(x) = -2(1((2(-5(1e^(2x) - 3) + 3) - 3)/(1(-5(1e^(2x) - 3) + 3) + 3))^2 + 1((2(-5(1e^(2x) - 3) + 3) - 3)/(1(-5(1e^(2x) - 3) + 3) + 3)) + 5)^2 + 2 intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = 1e^(-2(4(-3(-4(-1|(-2x^2 + 1x - 1)|)^2 - 3(-1|(-2x^2 + 1x - 1)|) - 4) - 1)^2 + 3(-3(-4(-1|(-2x^2 + 1x - 1)|)^2 - 3(-1|(-2x^2 + 1x - 1)|) - 4) - 1) + 2)) - 1 and g(x) = (-2(-5((-1(-4(-4x + 4)^2 - 2(-4x + 4) + 4) + 3)/(1(-4(-4x + 4)^2 - 2(-4x + 4) + 4) + 3))^2 - 3((-1(-4(-4x + 4)^2 - 2(-4x + 4) + 4) + 3)/(1(-4(-4x + 4)^2 - 2(-4x + 4) + 4) + 3)) + 3) + 1)/(2(-5((-1(-4(-4x + 4)^2 - 2(-4x + 4) + 4) + 3)/(1(-4(-4x + 4)^2 - 2(-4x + 4) + 4) + 3))^2 - 3((-1(-4(-4x + 4)^2 - 2(-4x + 4) + 4) + 3)/(1(-4(-4x + 4)^2 - 2(-4x + 4) + 4) + 3)) + 3)) intersect in the interval [-10, 10]?

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


[User]
Find the integer value closest to the x-coordinate where f(x) = -1e^(2((-1(-5(2|(2((2x - 3)/(2x + 1)) - 1) - 3| - 3) + 2) - 2)/(3(-5(2|(2((2x - 3)/(2x + 1)) - 1) - 3| - 3) + 2) - 2))) + 2 and g(x) = -2|(-1((1((-2((-2x + 2)/(2x + 3)) - 1)/(2((-2x + 2)/(2x + 3)) - 1)) - 1)/(-1((-2((-2x + 2)/(2x + 3)) - 1)/(2((-2x + 2)/(2x + 3)) - 1)) - 2)) + 2) - 3| - 2 intersect in the range -10 ≤ x ≤ 10.

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = 2|((3(2cos(2π(-3(-1|(-2|x + 3| - 3) - 3| + 1) - 3) + 3) - 3))/(1(2cos(2π(-3(-1|(-2|x + 3| - 3) - 3| + 1) - 3) + 3) - 3))) - 3| + 1 and g(x) = 4(-1|((3(4(-5x + 4) + 1) - 1)/(1(4(-5x + 4) + 1) + 1)) - 1| + 2) + 3 meet in the interval [-10, 10]?

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


[User]
Find the integer value closest to the x-coordinate where f(x) = (-2(-2|(4(3(-5(4x^2 - 4x - 4)^2 - 3(4x^2 - 4x - 4) + 4) - 1) + 5) - 1| + 3) - 1)/(-3(-2|(4(3(-5(4x^2 - 4x - 4)^2 - 3(4x^2 - 4x - 4) + 4) - 1) + 5) - 1| + 3) + 4) and g(x) = -5((3(1sin(3π(1|(4x + 1) + 1| + 3)) - 2) + 2)/(2(1sin(3π(1|(4x + 1) + 1| + 3)) - 2) - 1)) - 4 intersect in the range -10 ≤ x ≤ 10.

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


[User]
At what integer value (rounded) do the functions f(x) = -3(-2((-3(-5(2|(-1x + 2) - 1| - 2) - 5) - 2)/(2(-5(2|(-1x + 2) - 1| - 2) - 5) + 1))) + 5 and g(x) = 3|(2|(-3|(-1(-2sin(1πx - 1))^2 - 3) - 2|) + 3| - 1) - 3| + 3 intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = -1(3((-1((2(2sin(1π(3x^2 - 5x - 1) - 2) - 2) + 3)/(1(2sin(1π(3x^2 - 5x - 1) - 2) - 2))) + 3)/(-1((2(2sin(1π(3x^2 - 5x - 1) - 2) - 2) + 3)/(1(2sin(1π(3x^2 - 5x - 1) - 2) - 2))) + 3))^2 - 4((-1((2(2sin(1π(3x^2 - 5x - 1) - 2) - 2) + 3)/(1(2sin(1π(3x^2 - 5x - 1) - 2) - 2))) + 3)/(-1((2(2sin(1π(3x^2 - 5x - 1) - 2) - 2) + 3)/(1(2sin(1π(3x^2 - 5x - 1) - 2) - 2))) + 3)) + 1)^2 + 4(3((-1((2(2sin(1π(3x^2 - 5x - 1) - 2) - 2) + 3)/(1(2sin(1π(3x^2 - 5x - 1) - 2) - 2))) + 3)/(-1((2(2sin(1π(3x^2 - 5x - 1) - 2) - 2) + 3)/(1(2sin(1π(3x^2 - 5x - 1) - 2) - 2))) + 3))^2 - 4((-1((2(2sin(1π(3x^2 - 5x - 1) - 2) - 2) + 3)/(1(2sin(1π(3x^2 - 5x - 1) - 2) - 2))) + 3)/(-1((2(2sin(1π(3x^2 - 5x - 1) - 2) - 2) + 3)/(1(2sin(1π(3x^2 - 5x - 1) - 2) - 2))) + 3)) + 1) - 1 and g(x) = (2(5((1(-3|((1x - 3)/(-1x + 2)) + 1|) + 2)/(3(-3|((1x - 3)/(-1x + 2)) + 1|) - 2)) + 2) + 3)/(1(5((1(-3|((1x - 3)/(-1x + 2)) + 1|) + 2)/(3(-3|((1x - 3)/(-1x + 2)) + 1|) - 2)) + 2)) meet in the interval [-10, 10]?

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


[User]
When ordered from left to right, what is the first x-coordinate (rounded to the nearest integer) where f(x) = 5(-4(1|((-2(1cos(2π(-4x^2 - 2x - 1)) - 3) + 2)/(1(1cos(2π(-4x^2 - 2x - 1)) - 3) - 2)) + 1| - 2) + 4) - 2 and g(x) = -5((3(-4(3|((-3x - 3)/(-1x - 2)) + 2| - 3)) - 1)/(2(-4(3|((-3x - 3)/(-1x - 2)) + 2| - 3)) + 2)) - 1 intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = 3|(-3|(2cos(2π(-5(-1(1|x + 1| - 2) - 5)^2 - 3(-1(1|x + 1| - 2) - 5) + 1) - 3))| - 2)| and g(x) = 3(-4(5(5(5x - 4) + 5) + 1) - 4) + 1 meet in the interval [-10, 10]?

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


[User]
Find the first intersection point (counting from left to right) between the functions f(x) = -3((-2(-2cos(1π(-5(1|(1x^2 + 3x - 3) - 1|)^2 - 5(1|(1x^2 + 3x - 3) - 1|) + 2) - 3) + 3))/(-3(-2cos(1π(-5(1|(1x^2 + 3x - 3) - 1|)^2 - 5(1|(1x^2 + 3x - 3) - 1|) + 2) - 3) + 3) + 2)) - 4 and g(x) = (-2(1(-2|(-3(1|x - 3|) + 2) + 3| + 3) + 2) + 3)/(-1(1(-2|(-3(1|x - 3|) + 2) + 3| + 3) + 2) + 2) in the interval [-10, 10], rounded to the nearest integer.

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


[User]
Find the average of all x-coordinates (rounded to the nearest integer) where f(x) = (2((-3(-3((1(4(4x^2 + 2x + 5)^2 - 2(4x^2 + 2x + 5) + 1))/(3(4(4x^2 + 2x + 5)^2 - 2(4x^2 + 2x + 5) + 1) - 1))^2 - 4((1(4(4x^2 + 2x + 5)^2 - 2(4x^2 + 2x + 5) + 1))/(3(4(4x^2 + 2x + 5)^2 - 2(4x^2 + 2x + 5) + 1) - 1))) - 3)/(2(-3((1(4(4x^2 + 2x + 5)^2 - 2(4x^2 + 2x + 5) + 1))/(3(4(4x^2 + 2x + 5)^2 - 2(4x^2 + 2x + 5) + 1) - 1))^2 - 4((1(4(4x^2 + 2x + 5)^2 - 2(4x^2 + 2x + 5) + 1))/(3(4(4x^2 + 2x + 5)^2 - 2(4x^2 + 2x + 5) + 1) - 1))) - 1)) + 3)/(-2((-3(-3((1(4(4x^2 + 2x + 5)^2 - 2(4x^2 + 2x + 5) + 1))/(3(4(4x^2 + 2x + 5)^2 - 2(4x^2 + 2x + 5) + 1) - 1))^2 - 4((1(4(4x^2 + 2x + 5)^2 - 2(4x^2 + 2x + 5) + 1))/(3(4(4x^2 + 2x + 5)^2 - 2(4x^2 + 2x + 5) + 1) - 1))) - 3)/(2(-3((1(4(4x^2 + 2x + 5)^2 - 2(4x^2 + 2x + 5) + 1))/(3(4(4x^2 + 2x + 5)^2 - 2(4x^2 + 2x + 5) + 1) - 1))^2 - 4((1(4(4x^2 + 2x + 5)^2 - 2(4x^2 + 2x + 5) + 1))/(3(4(4x^2 + 2x + 5)^2 - 2(4x^2 + 2x + 5) + 1) - 1))) - 1)) - 3) and g(x) = 1(-2(3|(-1(-1e^(1x) + 2)^2 + 4(-1e^(1x) + 2) + 4) - 1| + 2) + 2) + 5 intersect in the interval [-10, 10].

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = 5(-1|(-1|(1|((-1(1|x - 2| - 2) + 2)/(-3(1|x - 2| - 2) + 2))| + 2) - 3| - 3) - 3| + 3) + 5 and g(x) = (-3((-3(4(-1|(1|x + 1| + 1) - 3| + 3) - 3) - 1)/(1(4(-1|(1|x + 1| + 1) - 3| + 3) - 3) + 3)) + 1)/(1((-3(4(-1|(1|x + 1| + 1) - 3| + 3) - 3) - 1)/(1(4(-1|(1|x + 1| + 1) - 3| + 3) - 3) + 3)) - 2) intersect in the interval [-10, 10].

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = -2|(-1|(-1|(-5(1(-1x + 1) - 5)) - 1| + 2) + 1| + 3) - 3| + 3 and g(x) = -1e^(1(-2|(4(1|(-2|x - 2| + 3)| - 2) + 5) - 1| + 2)) - 3 meet in the interval [-10, 10].

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


[User]
At what integer value (rounded) do the functions f(x) = 3|((-2((-3((3(4(4x) + 4) - 3)/(-1(4(4x) + 4))) + 3)/(-2((3(4(4x) + 4) - 3)/(-1(4(4x) + 4))) + 3)))/(3((-3((3(4(4x) + 4) - 3)/(-1(4(4x) + 4))) + 3)/(-2((3(4(4x) + 4) - 3)/(-1(4(4x) + 4))) + 3)) + 3))| + 3 and g(x) = -5(-3e^(-1(1|(-2(-3|x + 1| + 3) - 5)| + 3)) - 2) - 3 intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = -1cos(1π((2(-1(5(-1(2x^2 + 5x - 5)^2 + 5(2x^2 + 5x - 5) - 2)^2 - 1(-1(2x^2 + 5x - 5)^2 + 5(2x^2 + 5x - 5) - 2) + 4) - 2))/(-1(-1(5(-1(2x^2 + 5x - 5)^2 + 5(2x^2 + 5x - 5) - 2)^2 - 1(-1(2x^2 + 5x - 5)^2 + 5(2x^2 + 5x - 5) - 2) + 4) - 2)))) - 2 and g(x) = 1|(-3(-3|((-1(3x^2 + 1x - 2) - 1)/(2(3x^2 + 1x - 2) - 3)) - 3| - 1)) - 3| - 3 meet in the interval [-10, 10]?

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


[User]
When ordered from left to right, what is the second x-coordinate (rounded to the nearest integer) where f(x) = -1|((-1(-2e^(1(1(-1|((1x - 1)/(-2x + 3)) + 3| - 1)^2 + 5(-1|((1x - 1)/(-2x + 3)) + 3| - 1) + 1)) - 3) - 1)/(-2(-2e^(1(1(-1|((1x - 1)/(-2x + 3)) + 3| - 1)^2 + 5(-1|((1x - 1)/(-2x + 3)) + 3| - 1) + 1)) - 3) + 1)) + 1| - 1 and g(x) = 4(-1|(5(2(-2x - 1) + 2) - 1) - 2| + 1) intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = -1sin(3π(-1(2(1(-3(-3x - 4) - 4)^2 - 4(-3(-3x - 4) - 4) + 5)^2 + 1(1(-3(-3x - 4) - 4)^2 - 4(-3(-3x - 4) - 4) + 5) - 3) + 4) - 3) + 2 and g(x) = 4((-1(-3sin(1π(-3(-3x^2 + 1x)^2 + 5(-3x^2 + 1x) + 3) - 3)) + 3)/(3(-3sin(1π(-3(-3x^2 + 1x)^2 + 5(-3x^2 + 1x) + 3) - 3)) + 3)) + 3 meet in the interval [-10, 10]?

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


[User]
Find the integer value closest to the x-coordinate where f(x) = -2((2(-3(2(2(2e^(1x) - 1) - 5) + 1) - 4) - 1)/(-3(-3(2(2(2e^(1x) - 1) - 5) + 1) - 4))) and g(x) = -1|(-3e^(1(-1((2(-3|x + 3|) - 3)/(-3(-3|x + 3|) + 4)) - 4)) - 1) + 1| + 1 intersect in the range -10 ≤ x ≤ 10.

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = -1|(3(-4(2|((2((-2x + 1)/(-1x + 2)))/(-1((-2x + 1)/(-1x + 2)))) + 1| - 2) + 2)^2 + 5) - 3| - 2 and g(x) = -2|(5((-2(3e^(-1(2x - 1)) + 2) + 1)/(-3(3e^(-1(2x - 1)) + 2) + 4)) + 3) - 1| - 3 meet in the interval [-10, 10]?

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


[User]
Find the integer closest to the smallest x-value where the functions f(x) = -5(1|(5((1(-3e^(1((3x - 2)/(1x))) + 1) + 1)/(-1(-3e^(1((3x - 2)/(1x))) + 1) + 2))^2 - 2((1(-3e^(1((3x - 2)/(1x))) + 1) + 1)/(-1(-3e^(1((3x - 2)/(1x))) + 1) + 2)) - 4) + 3| - 3) - 4 and g(x) = (1(-4(-5(3(2x^2 - 1x - 1) + 2)^2 - 2(3(2x^2 - 1x - 1) + 2) + 3)^2 + 2(-5(3(2x^2 - 1x - 1) + 2)^2 - 2(3(2x^2 - 1x - 1) + 2) + 3) - 4))/(-1(-4(-5(3(2x^2 - 1x - 1) + 2)^2 - 2(3(2x^2 - 1x - 1) + 2) + 3)^2 + 2(-5(3(2x^2 - 1x - 1) + 2)^2 - 2(3(2x^2 - 1x - 1) + 2) + 3) - 4) + 2) meet in the interval [-10, 10].

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = -5(-2cos(1π(1(-1(-4(-4x - 3)^2 + 5(-4x - 3) + 2)^2 + 2(-4(-4x - 3)^2 + 5(-4x - 3) + 2) - 3) + 2) - 1) + 3) + 1 and g(x) = -2|(2(3(1|(5x - 2)|) + 4)^2 - 5(3(1|(5x - 2)|) + 4) + 2) - 3| + 2 intersect in the interval [-10, 10].

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


[User]
Find the integer closest to the smallest x-value where the functions f(x) = 2(-3(4((3(-1e^(-1((-3x + 3)/(-1x + 2)))) - 1)/(-3(-1e^(-1((-3x + 3)/(-1x + 2)))) + 4))^2 + 2((3(-1e^(-1((-3x + 3)/(-1x + 2)))) - 1)/(-3(-1e^(-1((-3x + 3)/(-1x + 2)))) + 4)) + 1)^2 + 3(4((3(-1e^(-1((-3x + 3)/(-1x + 2)))) - 1)/(-3(-1e^(-1((-3x + 3)/(-1x + 2)))) + 4))^2 + 2((3(-1e^(-1((-3x + 3)/(-1x + 2)))) - 1)/(-3(-1e^(-1((-3x + 3)/(-1x + 2)))) + 4)) + 1) - 3)^2 - 4(-3(4((3(-1e^(-1((-3x + 3)/(-1x + 2)))) - 1)/(-3(-1e^(-1((-3x + 3)/(-1x + 2)))) + 4))^2 + 2((3(-1e^(-1((-3x + 3)/(-1x + 2)))) - 1)/(-3(-1e^(-1((-3x + 3)/(-1x + 2)))) + 4)) + 1)^2 + 3(4((3(-1e^(-1((-3x + 3)/(-1x + 2)))) - 1)/(-3(-1e^(-1((-3x + 3)/(-1x + 2)))) + 4))^2 + 2((3(-1e^(-1((-3x + 3)/(-1x + 2)))) - 1)/(-3(-1e^(-1((-3x + 3)/(-1x + 2)))) + 4)) + 1) - 3) + 5 and g(x) = 1|(2(-1(2e^(-1((-3x - 3)/(2x + 1))) - 1) - 5)^2 + 2(-1(2e^(-1((-3x - 3)/(2x + 1))) - 1) - 5) - 1) - 3| + 1 meet in the interval [-10, 10].

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


[User]
If you add up all the x-coordinates where the functions f(x) = 5(2|(3e^(-1((-2(-5(3x^2 - 5x - 3)^2 - 3(3x^2 - 5x - 3) + 5) - 3)/(-1(-5(3x^2 - 5x - 3)^2 - 3(3x^2 - 5x - 3) + 5) + 2))) - 3) - 2| + 2)^2 + 3(2|(3e^(-1((-2(-5(3x^2 - 5x - 3)^2 - 3(3x^2 - 5x - 3) + 5) - 3)/(-1(-5(3x^2 - 5x - 3)^2 - 3(3x^2 - 5x - 3) + 5) + 2))) - 3) - 2| + 2) - 5 and g(x) = -5((-3(1(-1(-5x^2 - 4x + 3) - 2) - 2) + 3)/(1(1(-1(-5x^2 - 4x + 3) - 2) - 2) + 1)) + 1 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = -3|((1(1cos(2π(5(-3(-1|x - 3| - 2)^2 + 3(-1|x - 3| - 2) - 5) - 3) + 1) + 3) - 3)/(3(1cos(2π(5(-3(-1|x - 3| - 2)^2 + 3(-1|x - 3| - 2) - 5) - 3) + 1) + 3) + 3)) + 2| + 3 and g(x) = -1(1(1|(2(4x + 1) - 2) - 2|) + 2)^2 + 4(1(1|(2(4x + 1) - 2) - 2|) + 2) + 1 intersect in the interval [-10, 10].

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


[User]
If you add up all the x-coordinates where the functions f(x) = (-3(4(-1(5(-2(3|x + 2| + 3)^2 - 5(3|x + 2| + 3) - 5) - 5) - 3)^2 + 1) - 2)/(-3(4(-1(5(-2(3|x + 2| + 3)^2 - 5(3|x + 2| + 3) - 5) - 5) - 3)^2 + 1) + 4) and g(x) = 2|(-3e^(-2((-3((2(3x + 2) - 2)/(-3(3x + 2) - 2)) + 3)/(1((2(3x + 2) - 2)/(-3(3x + 2) - 2)) - 2))) + 3) + 2| - 1 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
When ordered from left to right, what is the second x-coordinate (rounded to the nearest integer) where f(x) = -4((1(1((3(3|(-2|x + 3| - 2) + 3| - 3) - 1)/(2(3|(-2|x + 3| - 2) + 3| - 3) - 3)) - 1) + 3)/(2(1((3(3|(-2|x + 3| - 2) + 3| - 3) - 1)/(2(3|(-2|x + 3| - 2) + 3| - 3) - 3)) - 1) - 1)) and g(x) = (-1(-2(2(-4(-5x^2 - 2x - 3) + 3) - 5) + 4) + 2)/(-3(-2(2(-4(-5x^2 - 2x - 3) + 3) - 5) + 4) + 2) intersect in the interval [-10, 10]?

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


[User]
When ordered from left to right, what is the first x-coordinate (rounded to the nearest integer) where f(x) = (-3(2sin(2π(2((1(-5(-2|x - 2| - 1) - 4) + 3)/(-3(-5(-2|x - 2| - 1) - 4)))^2 + 4((1(-5(-2|x - 2| - 1) - 4) + 3)/(-3(-5(-2|x - 2| - 1) - 4))) + 3) + 1) - 1) + 3)/(-1(2sin(2π(2((1(-5(-2|x - 2| - 1) - 4) + 3)/(-3(-5(-2|x - 2| - 1) - 4)))^2 + 4((1(-5(-2|x - 2| - 1) - 4) + 3)/(-3(-5(-2|x - 2| - 1) - 4))) + 3) + 1) - 1)) and g(x) = 4(-1(1sin(1π(3|(-5x^2 - 4x + 2)| - 1)) + 2)^2 + 3(1sin(1π(3|(-5x^2 - 4x + 2)| - 1)) + 2) + 5) - 5 intersect in the interval [-10, 10]?

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


[User]
Find the integer value closest to the x-coordinate where f(x) = (2(-3(-1(2(-2cos(3π(1x + 4) + 1) + 1) + 2) - 1)) + 1)/(-3(-3(-1(2(-2cos(3π(1x + 4) + 1) + 1) + 2) - 1))) and g(x) = -1(-3|(3|(2(-5x - 2) - 2)| - 3) + 3| - 1) - 2 intersect in the range -10 ≤ x ≤ 10.

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = -1|(-1|(3(2(-1|(-1sin(2πx - 3) - 2) + 3| + 1) - 4) - 4) - 3| + 1) + 1| - 2 and g(x) = -1((2(-2|(3(3x - 4) + 2) + 3|) + 1)/(3(-2|(3(3x - 4) + 2) + 3|) + 3)) + 4 meet in the interval [-10, 10]?

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


[User]
If you add up all the x-coordinates where the functions f(x) = -2sin(1π(5((3(3(5(1|x + 2| + 1)^2 + 2(1|x + 2| + 1) - 1)^2 - 5(5(1|x + 2| + 1)^2 + 2(1|x + 2| + 1) - 1) - 3) + 2)/(-2(3(5(1|x + 2| + 1)^2 + 2(1|x + 2| + 1) - 1)^2 - 5(5(1|x + 2| + 1)^2 + 2(1|x + 2| + 1) - 1) - 3) - 2))) - 1) + 3 and g(x) = 4(1|(-3|(-1(5x^2 + 5x + 3) + 1)| - 1) + 3|)^2 + 3(1|(-3|(-1(5x^2 + 5x + 3) + 1)| - 1) + 3|) - 4 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
Find the integer closest to the smallest x-value where the functions f(x) = (3(3(3(-2(1(2x + 1)^2 - 4(2x + 1) + 1) + 4) - 1) - 4) - 3)/(-1(3(3(-2(1(2x + 1)^2 - 4(2x + 1) + 1) + 4) - 1) - 4) + 3) and g(x) = 1cos(1π(1((-2((3(-1x^2 + 3x - 4) - 1)/(3(-1x^2 + 3x - 4) - 2)) - 1)/(-2((3(-1x^2 + 3x - 4) - 1)/(3(-1x^2 + 3x - 4) - 2)) + 3))^2 - 2((-2((3(-1x^2 + 3x - 4) - 1)/(3(-1x^2 + 3x - 4) - 2)) - 1)/(-2((3(-1x^2 + 3x - 4) - 1)/(3(-1x^2 + 3x - 4) - 2)) + 3)) + 4) + 2) + 1 meet in the interval [-10, 10].

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


[User]
When ordered from left to right, what is the first x-coordinate (rounded to the nearest integer) where f(x) = -2((2(2(3(-4(1|x - 2| - 1) + 2) + 1) + 4) + 3)/(-2(2(3(-4(1|x - 2| - 1) + 2) + 1) + 4) + 1)) + 1 and g(x) = 3|((1((-2(-3e^(-1(-5x - 3)) - 1) - 3)/(-3(-3e^(-1(-5x - 3)) - 1) - 1)) - 3)/(-3((-2(-3e^(-1(-5x - 3)) - 1) - 3)/(-3(-3e^(-1(-5x - 3)) - 1) - 1)) + 4)) + 1| intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = (2(-3(2e^(-2(-4(-3|(-5x^2 + 1x - 5) - 2| + 3) - 2)) - 2)^2 - 3(2e^(-2(-4(-3|(-5x^2 + 1x - 5) - 2| + 3) - 2)) - 2) - 2) - 2)/(-2(-3(2e^(-2(-4(-3|(-5x^2 + 1x - 5) - 2| + 3) - 2)) - 2)^2 - 3(2e^(-2(-4(-3|(-5x^2 + 1x - 5) - 2| + 3) - 2)) - 2) - 2) - 1) and g(x) = -1|((3(1(3|(-1x^2 - 2)| + 2) - 5) - 2)/(2(1(3|(-1x^2 - 2)| + 2) - 5) + 2)) + 3| + 3 intersect in the interval [-10, 10]?

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


[User]
Find the integer value closest to the x-coordinate where f(x) = 2|(-2|(3((2((-2(4x + 1) - 2)/(-2(4x + 1) + 1)))/(-2((-2(4x + 1) - 2)/(-2(4x + 1) + 1)) - 1)) - 1) - 1|) - 2| + 2 and g(x) = (2((-3(-4(-2e^(2(2x + 4)) + 3)^2 - 5(-2e^(2(2x + 4)) + 3)) - 1)/(2(-4(-2e^(2(2x + 4)) + 3)^2 - 5(-2e^(2(2x + 4)) + 3)) - 3)))/(-3((-3(-4(-2e^(2(2x + 4)) + 3)^2 - 5(-2e^(2(2x + 4)) + 3)) - 1)/(2(-4(-2e^(2(2x + 4)) + 3)^2 - 5(-2e^(2(2x + 4)) + 3)) - 3)) + 2) intersect in the range -10 ≤ x ≤ 10.

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = -2e^(2((3(-2|(3(-2|(-1x^2 - 3x + 1)| + 2)^2 - 3(-2|(-1x^2 - 3x + 1)| + 2) + 2) - 1|) - 2)/(-3(-2|(3(-2|(-1x^2 - 3x + 1)| + 2)^2 - 3(-2|(-1x^2 - 3x + 1)| + 2) + 2) - 1|) - 2))) and g(x) = -5(-5(2|(-5((-2x - 3)/(1x + 3)) - 4) + 2| - 1)^2 - 1(2|(-5((-2x - 3)/(1x + 3)) - 4) + 2| - 1) + 5) + 5 meet in the interval [-10, 10].

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = (3(-3|(4(-1((1(-1x^2 - 4x + 1))/(1(-1x^2 - 4x + 1) + 2))^2 + 3((1(-1x^2 - 4x + 1))/(1(-1x^2 - 4x + 1) + 2)) + 4) + 1) - 2| - 1) - 3)/(2(-3|(4(-1((1(-1x^2 - 4x + 1))/(1(-1x^2 - 4x + 1) + 2))^2 + 3((1(-1x^2 - 4x + 1))/(1(-1x^2 - 4x + 1) + 2)) + 4) + 1) - 2| - 1) + 2) and g(x) = 2|(-1((2(-2(-1x - 1)) + 1)/(-2(-2(-1x - 1)) + 3))^2 - 5((2(-2(-1x - 1)) + 1)/(-2(-2(-1x - 1)) + 3)) - 5) + 3| + 3 meet in the interval [-10, 10]?

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


[User]
At what integer value (rounded) do the functions f(x) = -4(-1(-5((3(-5(3x + 2) - 2) + 2)/(-2(-5(3x + 2) - 2) + 3)) - 4) - 4)^2 + 3(-1(-5((3(-5(3x + 2) - 2) + 2)/(-2(-5(3x + 2) - 2) + 3)) - 4) - 4) - 3 and g(x) = (-2(3|(2|(2|(1x^2 + 3x - 3) - 2| - 3)| - 1) - 2|) + 3)/(-1(3|(2|(2|(1x^2 + 3x - 3) - 2| - 3)| - 1) - 2|)) intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = -1|(-1|(2|(4((-1(1x - 3) + 3)/(1(1x - 3) + 1)) - 1) - 2|)| + 2) + 1| - 3 and g(x) = (2(-3(-1(-3((1x - 1)/(-2x - 1))) + 3)^2 + 5(-1(-3((1x - 1)/(-2x - 1))) + 3)) - 3)/(1(-3(-1(-3((1x - 1)/(-2x - 1))) + 3)^2 + 5(-1(-3((1x - 1)/(-2x - 1))) + 3))) meet in the interval [-10, 10]?

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


[User]
Find the average of all x-coordinates (rounded to the nearest integer) where f(x) = (3(-5(2(-1|(-3e^(2(2|x + 1| - 3)) - 2)|) - 2) + 3) + 1)/(-3(-5(2(-1|(-3e^(2(2|x + 1| - 3)) - 2)|) - 2) + 3) - 1) and g(x) = -1e^(1(3|(-5(2|((3x - 2)/(3x)) + 1|)^2 - 5(2|((3x - 2)/(3x)) + 1|) - 4) + 3| - 3)) + 3 intersect in the interval [-10, 10].

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


[User]
Find the first intersection point (counting from left to right) between the functions f(x) = -1(3|(-3|(5(-1|(-2x^2 - 4x - 3) - 2| + 1) + 4) - 3| - 1) + 2|) - 3 and g(x) = -4(-5(-2((1(1x^2 + 5) - 2)/(3(1x^2 + 5)))^2 + 2((1(1x^2 + 5) - 2)/(3(1x^2 + 5))) - 3) - 1)^2 + 1(-5(-2((1(1x^2 + 5) - 2)/(3(1x^2 + 5)))^2 + 2((1(1x^2 + 5) - 2)/(3(1x^2 + 5))) - 3) - 1) + 3 in the interval [-10, 10], rounded to the nearest integer.

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


[User]
Find the average of all x-coordinates (rounded to the nearest integer) where f(x) = -5(1(1|(-1(-2sin(3π(1x + 2) - 3))^2 + 1(-2sin(3π(1x + 2) - 3)) - 2)| + 1)^2 + 5(1|(-1(-2sin(3π(1x + 2) - 3))^2 + 1(-2sin(3π(1x + 2) - 3)) - 2)| + 1) + 4) - 2 and g(x) = -4(-2(5((-2(3x - 3) + 3)/(1(3x - 3) + 1)) - 2)^2 + 1(5((-2(3x - 3) + 3)/(1(3x - 3) + 1)) - 2) + 4)^2 + 4(-2(5((-2(3x - 3) + 3)/(1(3x - 3) + 1)) - 2)^2 + 1(5((-2(3x - 3) + 3)/(1(3x - 3) + 1)) - 2) + 4) intersect in the interval [-10, 10].

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


[User]
Round to the nearest integer: what is the leftmost x-coordinate where f(x) = -3(-1((1(-1(1(-3|x - 2| - 1) - 1)^2 - 4(1(-3|x - 2| - 1) - 1)) + 1)/(2(-1(1(-3|x - 2| - 1) - 1)^2 - 4(1(-3|x - 2| - 1) - 1)) + 3)) + 3) + 5 and g(x) = (-1((3(4(5(-4x + 3)^2 - 2(-4x + 3) + 5)^2 - 5(5(-4x + 3)^2 - 2(-4x + 3) + 5) - 3) - 3)/(-1(4(5(-4x + 3)^2 - 2(-4x + 3) + 5)^2 - 5(5(-4x + 3)^2 - 2(-4x + 3) + 5) - 3) + 2)) + 3)/(2((3(4(5(-4x + 3)^2 - 2(-4x + 3) + 5)^2 - 5(5(-4x + 3)^2 - 2(-4x + 3) + 5) - 3) - 3)/(-1(4(5(-4x + 3)^2 - 2(-4x + 3) + 5)^2 - 5(5(-4x + 3)^2 - 2(-4x + 3) + 5) - 3) + 2)) - 1) intersect in the interval [-10, 10]?

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


[User]
At what integer value (rounded) do the functions f(x) = 1|((-2(1|(-3|(2(4x - 1)^2 - 2(4x - 1) - 4) - 3| - 3) - 1| + 3) - 3)/(3(1|(-3|(2(4x - 1)^2 - 2(4x - 1) - 4) - 3| - 3) - 1| + 3) - 1)) - 3| - 3 and g(x) = (-1(5((2((1(1x - 3) + 1)/(2(1x - 3) + 3)) + 3)/(-1((1(1x - 3) + 1)/(2(1x - 3) + 3))))^2 - 5((2((1(1x - 3) + 1)/(2(1x - 3) + 3)) + 3)/(-1((1(1x - 3) + 1)/(2(1x - 3) + 3)))) - 4) + 1)/(2(5((2((1(1x - 3) + 1)/(2(1x - 3) + 3)) + 3)/(-1((1(1x - 3) + 1)/(2(1x - 3) + 3))))^2 - 5((2((1(1x - 3) + 1)/(2(1x - 3) + 3)) + 3)/(-1((1(1x - 3) + 1)/(2(1x - 3) + 3)))) - 4) + 1) intersect in the interval [-10, 10]?

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


[User]
When ordered from left to right, what is the first x-coordinate (rounded to the nearest integer) where f(x) = 5(2((-3((-3((3((-2x - 3)/(1x + 1)) - 1)/(1((-2x - 3)/(1x + 1)) + 2)) + 1)/(-3((3((-2x - 3)/(1x + 1)) - 1)/(1((-2x - 3)/(1x + 1)) + 2)) + 2)) - 1)/(3((-3((3((-2x - 3)/(1x + 1)) - 1)/(1((-2x - 3)/(1x + 1)) + 2)) + 1)/(-3((3((-2x - 3)/(1x + 1)) - 1)/(1((-2x - 3)/(1x + 1)) + 2)) + 2)) - 2)) - 1)^2 + 3(2((-3((-3((3((-2x - 3)/(1x + 1)) - 1)/(1((-2x - 3)/(1x + 1)) + 2)) + 1)/(-3((3((-2x - 3)/(1x + 1)) - 1)/(1((-2x - 3)/(1x + 1)) + 2)) + 2)) - 1)/(3((-3((3((-2x - 3)/(1x + 1)) - 1)/(1((-2x - 3)/(1x + 1)) + 2)) + 1)/(-3((3((-2x - 3)/(1x + 1)) - 1)/(1((-2x - 3)/(1x + 1)) + 2)) + 2)) - 2)) - 1) + 4 and g(x) = -2((-3(1|(-1|((1x)/(-1x)) + 2| + 2) - 1| - 1) + 3)/(-1(1|(-1|((1x)/(-1x)) + 2| + 2) - 1| - 1) - 2)) intersect in the interval [-10, 10]?

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


[User]
Find the integer value closest to the x-coordinate where f(x) = -1|(-2|(3(-2|((-3(1|x - 1| - 2) - 2)/(-1(1|x - 1| - 2) + 2)) - 3| + 3) - 3)| + 2) - 3| + 3 and g(x) = -1|((-2(-3((-1((2x + 1)/(2x - 1)) - 3)/(-2((2x + 1)/(2x - 1)) + 3))^2 - 2((-1((2x + 1)/(2x - 1)) - 3)/(-2((2x + 1)/(2x - 1)) + 3)) + 1))/(-2(-3((-1((2x + 1)/(2x - 1)) - 3)/(-2((2x + 1)/(2x - 1)) + 3))^2 - 2((-1((2x + 1)/(2x - 1)) - 3)/(-2((2x + 1)/(2x - 1)) + 3)) + 1) + 3)) + 2| - 2 intersect in the range -10 ≤ x ≤ 10.

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


[User]
Round to the nearest integer: what is the leftmost x-coordinate where f(x) = -5(-3(4(3((2(-5x - 3) + 3)/(2(-5x - 3) + 1)) + 1)^2 - 4) + 2) and g(x) = 4(5(-3|((-2(5x^2 - 5x + 5) + 1)/(3(5x^2 - 5x + 5) - 2)) + 3| - 3)^2 - 5(-3|((-2(5x^2 - 5x + 5) + 1)/(3(5x^2 - 5x + 5) - 2)) + 3| - 3) - 2) - 5 intersect in the interval [-10, 10]?

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


[User]
Find the integer value closest to the x-coordinate where f(x) = (-1((-1(-4(5((-3((-1x - 2)/(3x + 3)) + 1)/(3((-1x - 2)/(3x + 3)) - 2))^2 + 1((-3((-1x - 2)/(3x + 3)) + 1)/(3((-1x - 2)/(3x + 3)) - 2)) - 3) + 4) - 3)/(-1(-4(5((-3((-1x - 2)/(3x + 3)) + 1)/(3((-1x - 2)/(3x + 3)) - 2))^2 + 1((-3((-1x - 2)/(3x + 3)) + 1)/(3((-1x - 2)/(3x + 3)) - 2)) - 3) + 4) - 1)))/(2((-1(-4(5((-3((-1x - 2)/(3x + 3)) + 1)/(3((-1x - 2)/(3x + 3)) - 2))^2 + 1((-3((-1x - 2)/(3x + 3)) + 1)/(3((-1x - 2)/(3x + 3)) - 2)) - 3) + 4) - 3)/(-1(-4(5((-3((-1x - 2)/(3x + 3)) + 1)/(3((-1x - 2)/(3x + 3)) - 2))^2 + 1((-3((-1x - 2)/(3x + 3)) + 1)/(3((-1x - 2)/(3x + 3)) - 2)) - 3) + 4) - 1)) - 1) and g(x) = -2|(2|(-1(-4((2x)/(-3x + 4))^2 + 4((2x)/(-3x + 4)) + 5) + 1) + 3| - 3) - 1| - 3 intersect in the range -10 ≤ x ≤ 10.

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


[User]
Find the second intersection point (counting from left to right) between the functions f(x) = 3e^(-1(-5(-3(-4((1(-1x^2 + 5x + 5) - 1)/(3(-1x^2 + 5x + 5) - 2)) + 1) - 2) - 5)) - 3 and g(x) = 1(-2|(-3cos(2π((3((-2x - 1)/(-3x + 4)) + 1)/(-1((-2x - 1)/(-3x + 4)) - 3)) + 1)) - 2| + 1)^2 + 2(-2|(-3cos(2π((3((-2x - 1)/(-3x + 4)) + 1)/(-1((-2x - 1)/(-3x + 4)) - 3)) + 1)) - 2| + 1) + 1 in the interval [-10, 10], rounded to the nearest integer.

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = (-2(5(3(-3|((-2(-4x^2 - 3x - 1) - 3)/(-1(-4x^2 - 3x - 1) - 1)) + 1|)^2 + 5(-3|((-2(-4x^2 - 3x - 1) - 3)/(-1(-4x^2 - 3x - 1) - 1)) + 1|) - 3)^2 - 5(3(-3|((-2(-4x^2 - 3x - 1) - 3)/(-1(-4x^2 - 3x - 1) - 1)) + 1|)^2 + 5(-3|((-2(-4x^2 - 3x - 1) - 3)/(-1(-4x^2 - 3x - 1) - 1)) + 1|) - 3) + 2))/(2(5(3(-3|((-2(-4x^2 - 3x - 1) - 3)/(-1(-4x^2 - 3x - 1) - 1)) + 1|)^2 + 5(-3|((-2(-4x^2 - 3x - 1) - 3)/(-1(-4x^2 - 3x - 1) - 1)) + 1|) - 3)^2 - 5(3(-3|((-2(-4x^2 - 3x - 1) - 3)/(-1(-4x^2 - 3x - 1) - 1)) + 1|)^2 + 5(-3|((-2(-4x^2 - 3x - 1) - 3)/(-1(-4x^2 - 3x - 1) - 1)) + 1|) - 3) + 2) + 1) and g(x) = (1((-1(4(4(-4x + 3) + 3)^2 - 3(4(-4x + 3) + 3) + 1) + 3)/(3(4(4(-4x + 3) + 3)^2 - 3(4(-4x + 3) + 3) + 1) + 3)) - 2)/(3((-1(4(4(-4x + 3) + 3)^2 - 3(4(-4x + 3) + 3) + 1) + 3)/(3(4(4(-4x + 3) + 3)^2 - 3(4(-4x + 3) + 3) + 1) + 3)) + 3) meet in the interval [-10, 10]?

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


[User]
If you add up all the x-coordinates where the functions f(x) = -3|((-1(-2(-2(1(2x^2 - 1x - 4) + 1) + 5)^2 - 1(-2(1(2x^2 - 1x - 4) + 1) + 5) + 5) + 2)/(-3(-2(-2(1(2x^2 - 1x - 4) + 1) + 5)^2 - 1(-2(1(2x^2 - 1x - 4) + 1) + 5) + 5) + 1)) + 3| - 2 and g(x) = -3(-1sin(2π((-1(-5((3x + 1)/(-1x - 2)) + 2) + 1)/(-3(-5((3x + 1)/(-1x - 2)) + 2) - 3)) + 1)) - 5 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = 1((1(2(1((-1(-5x) - 2)/(-3(-5x) + 1))^2 - 3((-1(-5x) - 2)/(-3(-5x) + 1)) + 2) - 4))/(1(2(1((-1(-5x) - 2)/(-3(-5x) + 1))^2 - 3((-1(-5x) - 2)/(-3(-5x) + 1)) + 2) - 4) + 1))^2 + 3((1(2(1((-1(-5x) - 2)/(-3(-5x) + 1))^2 - 3((-1(-5x) - 2)/(-3(-5x) + 1)) + 2) - 4))/(1(2(1((-1(-5x) - 2)/(-3(-5x) + 1))^2 - 3((-1(-5x) - 2)/(-3(-5x) + 1)) + 2) - 4) + 1)) - 2 and g(x) = 1|(-1(2(2sin(3π((-2x + 1)/(2x - 1)) - 2) + 2)^2 + 5(2sin(3π((-2x + 1)/(2x - 1)) - 2) + 2) - 1) + 2) + 1| + 3 meet in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the leftmost x-coordinate where f(x) = 1((3(4(1(-2|(-1|x + 3| - 3) - 3| + 3)^2 + 3(-2|(-1|x + 3| - 3) - 3| + 3) - 4) - 1) + 2)/(3(4(1(-2|(-1|x + 3| - 3) - 3| + 3)^2 + 3(-2|(-1|x + 3| - 3) - 3| + 3) - 4) - 1) + 2))^2 - 1 and g(x) = (-1((-1(1|(2(3x + 4) - 3) - 3| - 1) - 3)/(-1(1|(2(3x + 4) - 3) - 3| - 1) + 3)) - 2)/(-1((-1(1|(2(3x + 4) - 3) - 3| - 1) - 3)/(-1(1|(2(3x + 4) - 3) - 3| - 1) + 3)) - 3) intersect in the interval [-10, 10]?

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = -2(-4(-3|(-5(-3(-4x - 5) + 4) + 1)| + 1)^2 + 3(-3|(-5(-3(-4x - 5) + 4) + 1)| + 1)) + 1 and g(x) = 2|((-2(1sin(3π(-2|(2|x| - 3) + 1| + 2) - 3) + 3))/(3(1sin(3π(-2|(2|x| - 3) + 1| + 2) - 3) + 3) - 2)) + 2| + 3 meet in the interval [-10, 10].

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = (-1(-1|(-4(2|(4(-3x + 3)^2 - 1(-3x + 3) - 4) - 3| - 2)^2 + 3(2|(4(-3x + 3)^2 - 1(-3x + 3) - 4) - 3| - 2)) + 2| + 2))/(2(-1|(-4(2|(4(-3x + 3)^2 - 1(-3x + 3) - 4) - 3| - 2)^2 + 3(2|(4(-3x + 3)^2 - 1(-3x + 3) - 4) - 3| - 2)) + 2| + 2) + 2) and g(x) = -1((2(-1((2(1x^2 - 4x - 4) + 1)/(-3(1x^2 - 4x - 4) - 3))^2 - 1((2(1x^2 - 4x - 4) + 1)/(-3(1x^2 - 4x - 4) - 3)) - 5) - 1)/(-2(-1((2(1x^2 - 4x - 4) + 1)/(-3(1x^2 - 4x - 4) - 3))^2 - 1((2(1x^2 - 4x - 4) + 1)/(-3(1x^2 - 4x - 4) - 3)) - 5) + 3)) - 3 meet in the interval [-10, 10]?

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


[User]
Find the average of all x-coordinates (rounded to the nearest integer) where f(x) = (3(4(-1(3(1cos(2π((2x - 2)/(3x + 1)) - 3) - 1)^2 + 1(1cos(2π((2x - 2)/(3x + 1)) - 3) - 1) + 4) - 5) - 1) + 1)/(3(4(-1(3(1cos(2π((2x - 2)/(3x + 1)) - 3) - 1)^2 + 1(1cos(2π((2x - 2)/(3x + 1)) - 3) - 1) + 4) - 5) - 1)) and g(x) = (2(-1|(1(-3e^(1(5x^2 + 2x + 3))) - 4) + 1| - 1) + 1)/(2(-1|(1(-3e^(1(5x^2 + 2x + 3))) - 4) + 1| - 1) - 3) intersect in the interval [-10, 10].

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = 5(3|(-1|(-1(-1((2x - 2)/(2x - 3))^2 + 3((2x - 2)/(2x - 3)) - 1)^2 - 2(-1((2x - 2)/(2x - 3))^2 + 3((2x - 2)/(2x - 3)) - 1) + 2) - 2| + 1) + 2| - 1) and g(x) = 5(2|(-1|(1(2x^2 + 4)) - 1| + 1) - 3| + 2) + 4 intersect in the interval [-10, 10].

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


[User]
At what integer value (rounded) do the functions f(x) = -1(5((3(3(-1|((-3x + 3)/(3x - 2)) + 1| + 2)))/(3(3(-1|((-3x + 3)/(3x - 2)) + 1| + 2)) + 1))^2 - 1((3(3(-1|((-3x + 3)/(3x - 2)) + 1| + 2)))/(3(3(-1|((-3x + 3)/(3x - 2)) + 1| + 2)) + 1)) + 4)^2 - 4(5((3(3(-1|((-3x + 3)/(3x - 2)) + 1| + 2)))/(3(3(-1|((-3x + 3)/(3x - 2)) + 1| + 2)) + 1))^2 - 1((3(3(-1|((-3x + 3)/(3x - 2)) + 1| + 2)))/(3(3(-1|((-3x + 3)/(3x - 2)) + 1| + 2)) + 1)) + 4) + 3 and g(x) = 3((1(2((-1((2x - 1)/(1x + 2)) - 2)/(-2((2x - 1)/(1x + 2)) - 1))^2 - 1) - 1)/(-3(2((-1((2x - 1)/(1x + 2)) - 2)/(-2((2x - 1)/(1x + 2)) - 1))^2 - 1) - 1)) + 2 intersect in the interval [-10, 10]?

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = 5(2(-1|(4(2((-3x + 2)/(1x - 2))^2 - 3((-3x + 2)/(1x - 2))) + 1) + 1| + 2)^2 - 2) - 4 and g(x) = 2|(-3|(-5(2((3x)/(2x - 1))^2 + 1) + 4) + 1|) - 2| - 1 intersect in the interval [-10, 10].

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


[User]
When ordered from left to right, what is the second x-coordinate (rounded to the nearest integer) where f(x) = -2|((1(4(5(-4((-1x - 3)/(2x - 1)) - 2) - 4)^2 - 3(5(-4((-1x - 3)/(2x - 1)) - 2) - 4) + 4) + 3)/(-2(4(5(-4((-1x - 3)/(2x - 1)) - 2) - 4)^2 - 3(5(-4((-1x - 3)/(2x - 1)) - 2) - 4) + 4) - 2)) - 2| - 2 and g(x) = -4((1((2((2(-1|x + 3| + 3) - 3)/(-1(-1|x + 3| + 3) + 3)) - 2)/(1((2(-1|x + 3| + 3) - 3)/(-1(-1|x + 3| + 3) + 3)))) + 1)/(2((2((2(-1|x + 3| + 3) - 3)/(-1(-1|x + 3| + 3) + 3)) - 2)/(1((2(-1|x + 3| + 3) - 3)/(-1(-1|x + 3| + 3) + 3)))) - 3)) - 5 intersect in the interval [-10, 10]?

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = -1((-1((1(2|(1e^(2(2x - 3)) - 1) + 1| - 3) + 1)/(-1(2|(1e^(2(2x - 3)) - 1) + 1| - 3) + 2)) - 2)/(1((1(2|(1e^(2(2x - 3)) - 1) + 1| - 3) + 1)/(-1(2|(1e^(2(2x - 3)) - 1) + 1| - 3) + 2)) + 3))^2 - 2 and g(x) = 2(-1|((-3((3((-2x - 3)/(-1x)) - 3)/(-3((-2x - 3)/(-1x)) + 2)) - 3)/(2((3((-2x - 3)/(-1x)) - 3)/(-3((-2x - 3)/(-1x)) + 2)) - 1)) - 1| + 2) + 4 intersect in the interval [-10, 10].

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


[User]
If you add up all the x-coordinates where the functions f(x) = (2(1|(1(1|(-2(-3e^(-1x))^2 - 1(-3e^(-1x))) - 1| + 1)^2 + 4) - 1| + 1) + 2)/(3(1|(1(1|(-2(-3e^(-1x))^2 - 1(-3e^(-1x))) - 1| + 1)^2 + 4) - 1| + 1) + 2) and g(x) = 2e^(-1((-1(5(-1(-1|x - 3| - 1) - 2) - 4) + 3)/(-3(5(-1(-1|x - 3| - 1) - 2) - 4)))) - 2 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
Find the second intersection point (counting from left to right) between the functions f(x) = -1(-1e^(2(-2(-4(3((2x + 3)/(3x + 3))^2 + 1((2x + 3)/(3x + 3)) - 3) - 4) + 2)))^2 + 3(-1e^(2(-2(-4(3((2x + 3)/(3x + 3))^2 + 1((2x + 3)/(3x + 3)) - 3) - 4) + 2))) + 3 and g(x) = -2|(-4((-1((2(4x + 2) - 2)/(-2(4x + 2) + 1)) - 2)/(1((2(4x + 2) - 2)/(-2(4x + 2) + 1)) + 3)) + 3)| + 2 in the interval [-10, 10], rounded to the nearest integer.

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


[User]
Find the first intersection point (counting from left to right) between the functions f(x) = (1(-2((-3(-3e^(-2(-5(-2x - 3)^2 + 5(-2x - 3) + 1)) - 2) + 3)/(-2(-3e^(-2(-5(-2x - 3)^2 + 5(-2x - 3) + 1)) - 2) - 1))^2 + 2((-3(-3e^(-2(-5(-2x - 3)^2 + 5(-2x - 3) + 1)) - 2) + 3)/(-2(-3e^(-2(-5(-2x - 3)^2 + 5(-2x - 3) + 1)) - 2) - 1)) + 4) - 3)/(1(-2((-3(-3e^(-2(-5(-2x - 3)^2 + 5(-2x - 3) + 1)) - 2) + 3)/(-2(-3e^(-2(-5(-2x - 3)^2 + 5(-2x - 3) + 1)) - 2) - 1))^2 + 2((-3(-3e^(-2(-5(-2x - 3)^2 + 5(-2x - 3) + 1)) - 2) + 3)/(-2(-3e^(-2(-5(-2x - 3)^2 + 5(-2x - 3) + 1)) - 2) - 1)) + 4)) and g(x) = 1(-3(2(1sin(1π(5x^2 + 2x - 1) + 1) + 3) + 3) + 2) + 4 in the interval [-10, 10], rounded to the nearest integer.

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


[User]
Find the integer value closest to the x-coordinate where f(x) = 4(1(3((-3(-2(3x - 3) - 5))/(-1(-2(3x - 3) - 5) + 2)) - 1) - 2) and g(x) = (-3(1|(2(2|((-2x)/(-3x + 4)) - 1| - 3))| + 2) - 3)/(3(1|(2(2|((-2x)/(-3x + 4)) - 1| - 3))| + 2) + 2) intersect in the range -10 ≤ x ≤ 10.

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


[User]
Find the second intersection point (counting from left to right) between the functions f(x) = 5((-3((2((3(-1(-2|x - 1|)^2 + 3(-2|x - 1|) + 4) + 2)/(-2(-1(-2|x - 1|)^2 + 3(-2|x - 1|) + 4) + 1)) - 2)/(-2((3(-1(-2|x - 1|)^2 + 3(-2|x - 1|) + 4) + 2)/(-2(-1(-2|x - 1|)^2 + 3(-2|x - 1|) + 4) + 1)) + 3)) + 3)/(-2((2((3(-1(-2|x - 1|)^2 + 3(-2|x - 1|) + 4) + 2)/(-2(-1(-2|x - 1|)^2 + 3(-2|x - 1|) + 4) + 1)) - 2)/(-2((3(-1(-2|x - 1|)^2 + 3(-2|x - 1|) + 4) + 2)/(-2(-1(-2|x - 1|)^2 + 3(-2|x - 1|) + 4) + 1)) + 3)) - 3)) + 4 and g(x) = -1(1|(-4(-1((-3x)/(2x - 1))^2 - 2((-3x)/(2x - 1)))^2 + 2(-1((-3x)/(2x - 1))^2 - 2((-3x)/(2x - 1))) - 1)| + 2) + 1 in the interval [-10, 10], rounded to the nearest integer.

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = -2((-3(-1((1(-4(2|x + 1| - 3) + 3) + 2)/(-1(-4(2|x + 1| - 3) + 3))) + 2))/(1(-1((1(-4(2|x + 1| - 3) + 3) + 2)/(-1(-4(2|x + 1| - 3) + 3))) + 2) + 1)) + 3 and g(x) = (1(1(-3(-2(1|x| + 3) + 3) - 1) + 4))/(-3(1(-3(-2(1|x| + 3) + 3) - 1) + 4) + 2) meet in the interval [-10, 10]?

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


[User]
Find the first intersection point (counting from left to right) between the functions f(x) = 1|(-1(5(-2sin(2π(1(1|x| - 3) + 5) - 1) + 3)^2 + 2(-2sin(2π(1(1|x| - 3) + 5) - 1) + 3) + 3)^2 + 3(5(-2sin(2π(1(1|x| - 3) + 5) - 1) + 3)^2 + 2(-2sin(2π(1(1|x| - 3) + 5) - 1) + 3) + 3) - 2) - 1| + 3 and g(x) = 4(1|(-1(-2|((-2x - 3)/(3x + 2)) + 2| + 2)^2 + 1(-2|((-2x - 3)/(3x + 2)) + 2| + 2) + 5) + 2| + 2) + 2 in the interval [-10, 10], rounded to the nearest integer.

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


[User]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = 1((2(4(1(-1e^(1(3x)) + 1) + 2)^2 + 1(1(-1e^(1(3x)) + 1) + 2) - 2) - 3)/(-2(4(1(-1e^(1(3x)) + 1) + 2)^2 + 1(1(-1e^(1(3x)) + 1) + 2) - 2) - 2)) - 5 and g(x) = 1sin(1π(-1(-4(-3(3x^2 - 2x) - 1) + 5) + 2) + 2) + 2 intersect in the interval [-10, 10]?

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = 5(-1(2(1(4(-2|x + 2| + 3)^2 + 3(-2|x + 2| + 3) - 2) - 1) - 1) - 4) - 3 and g(x) = -3|(5(-2(3((-2x + 2)/(1x + 2)) - 2)) - 4) + 1| + 1 meet in the interval [-10, 10].

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


[User]
Find the second intersection point (counting from left to right) between the functions f(x) = -2|(-3(3|(2|(1|(-2|x + 3| - 1)| + 1) + 2| + 3) + 2| + 1) - 2) + 3| and g(x) = 1(-4(-1(-2|(4x^2 + 5x - 2) + 1| + 2)^2 + 1(-2|(4x^2 + 5x - 2) + 1| + 2) + 3)^2 + 2(-1(-2|(4x^2 + 5x - 2) + 1| + 2)^2 + 1(-2|(4x^2 + 5x - 2) + 1| + 2) + 3) + 5) + 2 in the interval [-10, 10], rounded to the nearest integer.

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


[User]
Find the second intersection point (counting from left to right) between the functions f(x) = 1|(5((-1(-3|(5((-2x - 2)/(-1x + 2))^2 + 4((-2x - 2)/(-1x + 2)) - 3) + 1|) - 2)/(1(-3|(5((-2x - 2)/(-1x + 2))^2 + 4((-2x - 2)/(-1x + 2)) - 3) + 1|) + 1))^2 + 3((-1(-3|(5((-2x - 2)/(-1x + 2))^2 + 4((-2x - 2)/(-1x + 2)) - 3) + 1|) - 2)/(1(-3|(5((-2x - 2)/(-1x + 2))^2 + 4((-2x - 2)/(-1x + 2)) - 3) + 1|) + 1)) + 4) + 2| + 2 and g(x) = 1|(-1((-1((3(5x - 5) + 2)/(3(5x - 5) + 1)) + 3)/(-2((3(5x - 5) + 2)/(3(5x - 5) + 1))))^2 + 1((-1((3(5x - 5) + 2)/(3(5x - 5) + 1)) + 3)/(-2((3(5x - 5) + 2)/(3(5x - 5) + 1))))) - 1| - 2 in the interval [-10, 10], rounded to the nearest integer.

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


[User]
If you add up all the x-coordinates where the functions f(x) = 2sin(2π(-2|(1(-4(5((-2x - 1)/(-1x))^2 + 3((-2x - 1)/(-1x)) - 3)^2 - 5(5((-2x - 1)/(-1x))^2 + 3((-2x - 1)/(-1x)) - 3))^2 + 2(-4(5((-2x - 1)/(-1x))^2 + 3((-2x - 1)/(-1x)) - 3)^2 - 5(5((-2x - 1)/(-1x))^2 + 3((-2x - 1)/(-1x)) - 3)) - 2) - 1| - 3) - 2) - 1 and g(x) = -4(1(-1|(-1(-2|x + 1| - 2)^2 + 1) + 3| - 2) + 2)^2 - 2 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = 3(4(-2|((2(-4((1x + 1)/(-2x))^2 - 4((1x + 1)/(-2x)) - 5) + 1)/(3(-4((1x + 1)/(-2x))^2 - 4((1x + 1)/(-2x)) - 5) - 2)) - 1|) + 5) - 5 and g(x) = (-3(1|(5(1((-1x + 1)/(-1x + 3)) - 1) + 3) + 3| + 2) - 3)/(2(1|(5(1((-1x + 1)/(-1x + 3)) - 1) + 3) + 3| + 2) - 1) intersect in the interval [-10, 10].

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


[User]
Find the integer value closest to the x-coordinate where f(x) = (2((3(5(3e^(1((-3(3x + 4) - 2)/(-2(3x + 4)))) - 2) + 4))/(3(5(3e^(1((-3(3x + 4) - 2)/(-2(3x + 4)))) - 2) + 4) - 2)) + 1)/(-3((3(5(3e^(1((-3(3x + 4) - 2)/(-2(3x + 4)))) - 2) + 4))/(3(5(3e^(1((-3(3x + 4) - 2)/(-2(3x + 4)))) - 2) + 4) - 2)) + 2) and g(x) = 4((-2((-2(2|(-5x^2 - 4x + 2) + 1| - 1) + 1)/(2(2|(-5x^2 - 4x + 2) + 1| - 1) + 1)) - 2)/(-2((-2(2|(-5x^2 - 4x + 2) + 1| - 1) + 1)/(2(2|(-5x^2 - 4x + 2) + 1| - 1) + 1)) - 3))^2 + 2((-2((-2(2|(-5x^2 - 4x + 2) + 1| - 1) + 1)/(2(2|(-5x^2 - 4x + 2) + 1| - 1) + 1)) - 2)/(-2((-2(2|(-5x^2 - 4x + 2) + 1| - 1) + 1)/(2(2|(-5x^2 - 4x + 2) + 1| - 1) + 1)) - 3)) - 1 intersect in the range -10 ≤ x ≤ 10.

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


[User]
Find the first intersection point (counting from left to right) between the functions f(x) = (1((2(2((-2(-2|(-2e^(-1x) + 3) + 2| - 3) + 2)/(-1(-2|(-2e^(-1x) + 3) + 2| - 3) - 3))^2 + 2) + 1)/(-3(2((-2(-2|(-2e^(-1x) + 3) + 2| - 3) + 2)/(-1(-2|(-2e^(-1x) + 3) + 2| - 3) - 3))^2 + 2) - 1)) - 3)/(-2((2(2((-2(-2|(-2e^(-1x) + 3) + 2| - 3) + 2)/(-1(-2|(-2e^(-1x) + 3) + 2| - 3) - 3))^2 + 2) + 1)/(-3(2((-2(-2|(-2e^(-1x) + 3) + 2| - 3) + 2)/(-1(-2|(-2e^(-1x) + 3) + 2| - 3) - 3))^2 + 2) - 1)) + 3) and g(x) = 2|(4(2|(-2((1x)/(-3x - 1)) - 3)|)^2 - 5(2|(-2((1x)/(-3x - 1)) - 3)|) - 4) - 2| - 3 in the interval [-10, 10], rounded to the nearest integer.

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = -4(-4(2|((-2(1|(-2x - 1) + 2| - 2) - 1)/(-2(1|(-2x - 1) + 2| - 2) - 1)) + 1| + 2)) and g(x) = (-3(4(1((2(1e^(2x)) - 3)/(-3(1e^(2x)) + 1)) + 5)^2 - 5(1((2(1e^(2x)) - 3)/(-3(1e^(2x)) + 1)) + 5) - 3) - 2)/(1(4(1((2(1e^(2x)) - 3)/(-3(1e^(2x)) + 1)) + 5)^2 - 5(1((2(1e^(2x)) - 3)/(-3(1e^(2x)) + 1)) + 5) - 3)) meet in the interval [-10, 10]?

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


[User]
Find the integer value closest to the x-coordinate where f(x) = (-2(-3(-1|((-1(-4((1x - 3)/(-2x))^2 + 1((1x - 3)/(-2x))) - 2)/(1(-4((1x - 3)/(-2x))^2 + 1((1x - 3)/(-2x))))) + 3| + 2)^2 + 1(-1|((-1(-4((1x - 3)/(-2x))^2 + 1((1x - 3)/(-2x))) - 2)/(1(-4((1x - 3)/(-2x))^2 + 1((1x - 3)/(-2x))))) + 3| + 2) - 2) + 2)/(3(-3(-1|((-1(-4((1x - 3)/(-2x))^2 + 1((1x - 3)/(-2x))) - 2)/(1(-4((1x - 3)/(-2x))^2 + 1((1x - 3)/(-2x))))) + 3| + 2)^2 + 1(-1|((-1(-4((1x - 3)/(-2x))^2 + 1((1x - 3)/(-2x))) - 2)/(1(-4((1x - 3)/(-2x))^2 + 1((1x - 3)/(-2x))))) + 3| + 2) - 2) + 2) and g(x) = -3((2((-1((-1(-2x - 1) + 1)/(-1(-2x - 1) + 3)) - 1)/(3((-1(-2x - 1) + 1)/(-1(-2x - 1) + 3)) + 2)) + 2)/(-2((-1((-1(-2x - 1) + 1)/(-1(-2x - 1) + 3)) - 1)/(3((-1(-2x - 1) + 1)/(-1(-2x - 1) + 3)) + 2)) - 1)) + 5 intersect in the range -10 ≤ x ≤ 10.

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = -3(-1|((-2(-2((-1(1x^2 + 4x + 4) - 3)/(2(1x^2 + 4x + 4) + 3))^2 + 4((-1(1x^2 + 4x + 4) - 3)/(2(1x^2 + 4x + 4) + 3)) - 3) + 1)/(-3(-2((-1(1x^2 + 4x + 4) - 3)/(2(1x^2 + 4x + 4) + 3))^2 + 4((-1(1x^2 + 4x + 4) - 3)/(2(1x^2 + 4x + 4) + 3)) - 3))) + 3| - 1) + 5 and g(x) = 1|(-1|(1(3((-2x + 2)/(1x - 2))^2 - 1((-2x + 2)/(1x - 2)) - 5) - 1) + 2| - 2) + 1| - 1 meet in the interval [-10, 10].

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = 1(-1|(-1e^(1((-1(3(-1x^2 + 1x) - 5))/(3(3(-1x^2 + 1x) - 5) + 1))) - 1) + 1| - 2)^2 + 1(-1|(-1e^(1((-1(3(-1x^2 + 1x) - 5))/(3(3(-1x^2 + 1x) - 5) + 1))) - 1) + 1| - 2) + 1 and g(x) = 5((-3(-4(4(-2|x - 3| + 3) + 4) + 4) + 3)/(1(-4(4(-2|x - 3| + 3) + 4) + 4))) - 4 meet in the interval [-10, 10]?

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


[User]
Find the integer value closest to the x-coordinate where f(x) = 5(-3((1(3|(-4(5x - 5)^2 + 3(5x - 5) + 3) - 1| - 1))/(1(3|(-4(5x - 5)^2 + 3(5x - 5) + 3) - 1| - 1)))^2 - 4((1(3|(-4(5x - 5)^2 + 3(5x - 5) + 3) - 1| - 1))/(1(3|(-4(5x - 5)^2 + 3(5x - 5) + 3) - 1| - 1))) + 3) - 5 and g(x) = (-3(3(3(2e^(1(-2|x + 3| + 1)) - 2) + 1)^2 + 5(3(2e^(1(-2|x + 3| + 1)) - 2) + 1) + 1) - 1)/(3(3(3(2e^(1(-2|x + 3| + 1)) - 2) + 1)^2 + 5(3(2e^(1(-2|x + 3| + 1)) - 2) + 1) + 1) - 1) intersect in the range -10 ≤ x ≤ 10.

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


[User]
Find the average of all x-coordinates (rounded to the nearest integer) where f(x) = -2|(1(-2(4((-2((1x + 1)/(1x - 2)) - 3)/(1((1x + 1)/(1x - 2)) + 1)) + 4) + 1)^2 - 3)| and g(x) = -2|(2(1|(2|(3cos(1πx - 1)) - 3| + 1) - 1| - 2) - 5) - 3| + 1 intersect in the interval [-10, 10].

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = (3((2(2((3(5(4x - 2) - 4) - 1)/(-1(5(4x - 2) - 4) + 2))^2 + 4((3(5(4x - 2) - 4) - 1)/(-1(5(4x - 2) - 4) + 2)) - 1) + 1)/(2(2((3(5(4x - 2) - 4) - 1)/(-1(5(4x - 2) - 4) + 2))^2 + 4((3(5(4x - 2) - 4) - 1)/(-1(5(4x - 2) - 4) + 2)) - 1) - 1)) - 2)/(-1((2(2((3(5(4x - 2) - 4) - 1)/(-1(5(4x - 2) - 4) + 2))^2 + 4((3(5(4x - 2) - 4) - 1)/(-1(5(4x - 2) - 4) + 2)) - 1) + 1)/(2(2((3(5(4x - 2) - 4) - 1)/(-1(5(4x - 2) - 4) + 2))^2 + 4((3(5(4x - 2) - 4) - 1)/(-1(5(4x - 2) - 4) + 2)) - 1) - 1)) + 2) and g(x) = 1|(3|(-1|(-5(-1|x - 3| + 1)^2 + 4(-1|x - 3| + 1) - 3) - 2| - 2) - 2| - 2) + 3| - 2 meet in the interval [-10, 10]?

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = -5(-1(1(2(4(2x + 5))^2 + 1(4(2x + 5)) + 2)^2 - 5(2(4(2x + 5))^2 + 1(4(2x + 5)) + 2) - 3) - 1) - 4 and g(x) = (1((1(-1cos(1π(3(-1x + 3)^2 - 5(-1x + 3) - 2)) + 3) + 1)/(3(-1cos(1π(3(-1x + 3)^2 - 5(-1x + 3) - 2)) + 3))) - 1)/(-1((1(-1cos(1π(3(-1x + 3)^2 - 5(-1x + 3) - 2)) + 3) + 1)/(3(-1cos(1π(3(-1x + 3)^2 - 5(-1x + 3) - 2)) + 3))) - 3) intersect in the interval [-10, 10].

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = 1(3|(-2((-3(2|(2x^2 - 1x - 4) + 3| + 2) + 3)/(-2(2|(2x^2 - 1x - 4) + 3| + 2) - 3))^2 + 4((-3(2|(2x^2 - 1x - 4) + 3| + 2) + 3)/(-2(2|(2x^2 - 1x - 4) + 3| + 2) - 3))) + 3| - 3)^2 + 2(3|(-2((-3(2|(2x^2 - 1x - 4) + 3| + 2) + 3)/(-2(2|(2x^2 - 1x - 4) + 3| + 2) - 3))^2 + 4((-3(2|(2x^2 - 1x - 4) + 3| + 2) + 3)/(-2(2|(2x^2 - 1x - 4) + 3| + 2) - 3))) + 3| - 3) - 2 and g(x) = 3((3(-3|(-5(5x^2 + 5x - 3) - 3) + 1| - 1) - 1)/(-2(-3|(-5(5x^2 + 5x - 3) - 3) + 1| - 1) - 2))^2 + 4((3(-3|(-5(5x^2 + 5x - 3) - 3) + 1| - 1) - 1)/(-2(-3|(-5(5x^2 + 5x - 3) - 3) + 1| - 1) - 2)) + 4 meet in the interval [-10, 10].

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


[User]
Round to the nearest integer: what is the leftmost x-coordinate where f(x) = 1|(-3(-2(-1(-1((3x + 2)/(2x + 1))^2 - 2((3x + 2)/(2x + 1)))^2 + 5(-1((3x + 2)/(2x + 1))^2 - 2((3x + 2)/(2x + 1)))) - 2)^2) - 1| and g(x) = 3(3|(-1((-2(-5x^2 - 1x - 3) + 3)/(-3(-5x^2 - 1x - 3) - 2)) - 1) + 1| + 2) + 4 intersect in the interval [-10, 10]?

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


[User]
Find the integer value closest to the x-coordinate where f(x) = -1|(-3(2e^(-1((-2(-2|(-2x^2 - 2x + 3)| + 1) + 3)/(1(-2|(-2x^2 - 2x + 3)| + 1)))) - 2) - 3) + 1| - 1 and g(x) = -2|(-2((1(2|(5x^2 + 4x - 3) - 1| - 3))/(2(2|(5x^2 + 4x - 3) - 1| - 3) - 1)) - 5) - 3| - 1 intersect in the range -10 ≤ x ≤ 10.

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


[User]
Find the integer closest to the smallest x-value where the functions f(x) = -3((2(-3(1|(5(-3|x| + 3)^2 - 4(-3|x| + 3) - 3)| + 2)^2 + 3) + 1)/(-2(-3(1|(5(-3|x| + 3)^2 - 4(-3|x| + 3) - 3)| + 2)^2 + 3) - 2))^2 + 5((2(-3(1|(5(-3|x| + 3)^2 - 4(-3|x| + 3) - 3)| + 2)^2 + 3) + 1)/(-2(-3(1|(5(-3|x| + 3)^2 - 4(-3|x| + 3) - 3)| + 2)^2 + 3) - 2)) - 3 and g(x) = -2(-1(-3(-4((-3x - 1)/(2x - 1)) + 3)^2 + 5(-4((-3x - 1)/(2x - 1)) + 3) + 4) + 5)^2 - 5(-1(-3(-4((-3x - 1)/(2x - 1)) + 3)^2 + 5(-4((-3x - 1)/(2x - 1)) + 3) + 4) + 5) meet in the interval [-10, 10].

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


[User]
If you add up all the x-coordinates where the functions f(x) = 1cos(3π(5(-3|(4((-1(1x + 2) + 1)/(-1(1x + 2) + 2)) + 4) - 2| - 3) + 4) + 1) - 2 and g(x) = -1(1((-2((2(2x - 5) + 1)/(-1(2x - 5) - 1)) + 2)/(-3((2(2x - 5) + 1)/(-1(2x - 5) - 1))))^2 - 5)^2 - 2(1((-2((2(2x - 5) + 1)/(-1(2x - 5) - 1)) + 2)/(-3((2(2x - 5) + 1)/(-1(2x - 5) - 1))))^2 - 5) - 1 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
Find the average of all x-coordinates (rounded to the nearest integer) where f(x) = 2(4((-3(3e^(-2(-3(3x) - 4)) - 3))/(3(3e^(-2(-3(3x) - 4)) - 3) + 1))^2 - 3((-3(3e^(-2(-3(3x) - 4)) - 3))/(3(3e^(-2(-3(3x) - 4)) - 3) + 1)) - 5) + 2 and g(x) = (3(-1|(2|(-2cos(1π(4x^2 + 2x) - 2) + 3) + 1|)| - 2) - 2)/(1(-1|(2|(-2cos(1π(4x^2 + 2x) - 2) + 3) + 1|)| - 2)) intersect in the interval [-10, 10].

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = (1(-2|(1|(-1((-1(2|x + 2| + 3) - 1)/(2(2|x + 2| + 3) + 2))^2 - 3((-1(2|x + 2| + 3) - 1)/(2(2|x + 2| + 3) + 2)) + 3)| - 1) - 2| - 2) + 3)/(2(-2|(1|(-1((-1(2|x + 2| + 3) - 1)/(2(2|x + 2| + 3) + 2))^2 - 3((-1(2|x + 2| + 3) - 1)/(2(2|x + 2| + 3) + 2)) + 3)| - 1) - 2| - 2) + 3) and g(x) = 4(-3((2(1(-5x^2 - 3x) + 5) + 3)/(1(1(-5x^2 - 3x) + 5) + 1)) + 4) + 2 meet in the interval [-10, 10]?

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


[User]
Find the second intersection point (counting from left to right) between the functions f(x) = -5(-2(-2e^(-1(-1((2(1|x + 3| - 1) - 2)/(-1(1|x + 3| - 1))) - 2)) + 3)^2 - 5(-2e^(-1(-1((2(1|x + 3| - 1) - 2)/(-1(1|x + 3| - 1))) - 2)) + 3) + 2) - 2 and g(x) = (2(3(3((3(2e^(-1x) - 2) + 2)/(-1(2e^(-1x) - 2) + 3)) + 4)^2 - 2(3((3(2e^(-1x) - 2) + 2)/(-1(2e^(-1x) - 2) + 3)) + 4) + 2) + 3)/(-1(3(3((3(2e^(-1x) - 2) + 2)/(-1(2e^(-1x) - 2) + 3)) + 4)^2 - 2(3((3(2e^(-1x) - 2) + 2)/(-1(2e^(-1x) - 2) + 3)) + 4) + 2) + 2) in the interval [-10, 10], rounded to the nearest integer.

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = (3((1(2|((1((2(3|x| - 2) - 2)/(-3(3|x| - 2) + 2)) + 3)/(1((2(3|x| - 2) - 2)/(-3(3|x| - 2) + 2))))| - 2) + 1)/(-3(2|((1((2(3|x| - 2) - 2)/(-3(3|x| - 2) + 2)) + 3)/(1((2(3|x| - 2) - 2)/(-3(3|x| - 2) + 2))))| - 2) + 1)) + 1)/(-1((1(2|((1((2(3|x| - 2) - 2)/(-3(3|x| - 2) + 2)) + 3)/(1((2(3|x| - 2) - 2)/(-3(3|x| - 2) + 2))))| - 2) + 1)/(-3(2|((1((2(3|x| - 2) - 2)/(-3(3|x| - 2) + 2)) + 3)/(1((2(3|x| - 2) - 2)/(-3(3|x| - 2) + 2))))| - 2) + 1)) - 1) and g(x) = 5(-5((1((-3(2x^2 + 1x) - 2)/(-2(2x^2 + 1x) - 2)) - 3)/(1((-3(2x^2 + 1x) - 2)/(-2(2x^2 + 1x) - 2)) - 2))) - 4 meet in the interval [-10, 10].

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


[User]
If you add up all the x-coordinates where the functions f(x) = -1(-1e^(-1(-3(3(-3(-1x^2 + 1x)^2 - 1(-1x^2 + 1x) + 5) + 3) + 1)) - 2)^2 - 2(-1e^(-1(-3(3(-3(-1x^2 + 1x)^2 - 1(-1x^2 + 1x) + 5) + 3) + 1)) - 2) - 5 and g(x) = -3|(2|(-1(-2|(-1x^2 + 4x) + 3| - 2) - 1) - 2| + 3) + 1| - 1 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = (2((3(2cos(3π(-1(-1|((-2x + 3)/(2x)) + 2| - 3) - 1)) + 3) + 1)/(2(2cos(3π(-1(-1|((-2x + 3)/(2x)) + 2| - 3) - 1)) + 3))) + 3)/(-3((3(2cos(3π(-1(-1|((-2x + 3)/(2x)) + 2| - 3) - 1)) + 3) + 1)/(2(2cos(3π(-1(-1|((-2x + 3)/(2x)) + 2| - 3) - 1)) + 3))) + 4) and g(x) = -5(5(-4(-5(2x + 5) - 5) - 3)^2 + 3(-4(-5(2x + 5) - 5) - 3) - 5)^2 - 3(5(-4(-5(2x + 5) - 5) - 3)^2 + 3(-4(-5(2x + 5) - 5) - 3) - 5) - 1 intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = 5(-2(1|((2(-1(-4x + 4)^2 + 1(-4x + 4) + 3) + 2)/(-3(-1(-4x + 4)^2 + 1(-4x + 4) + 3) - 2)) + 1| - 3) + 5)^2 + 3(-2(1|((2(-1(-4x + 4)^2 + 1(-4x + 4) + 3) + 2)/(-3(-1(-4x + 4)^2 + 1(-4x + 4) + 3) - 2)) + 1| - 3) + 5) and g(x) = 1((2(4(2|(-1|x - 3| + 1) - 2| - 3)^2 - 2(2|(-1|x - 3| + 1) - 2| - 3) - 3) - 3)/(1(4(2|(-1|x - 3| + 1) - 2| - 3)^2 - 2(2|(-1|x - 3| + 1) - 2| - 3) - 3))) + 2 meet in the interval [-10, 10]?

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


[User]
Find the integer value closest to the x-coordinate where f(x) = 1(-1|(3sin(2π(3(-1(1x^2 + 2)^2 + 4(1x^2 + 2) + 4)^2 - 4(-1(1x^2 + 2)^2 + 4(1x^2 + 2) + 4) + 1) + 2) + 1) - 3| + 3) - 3 and g(x) = -3(1((-1((-1((-1x)/(-3x - 2)) - 3)/(-3((-1x)/(-3x - 2)) - 1)) - 1)/(3((-1((-1x)/(-3x - 2)) - 3)/(-3((-1x)/(-3x - 2)) - 1)) + 1)) - 4) + 3 intersect in the range -10 ≤ x ≤ 10.

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


[User]
If you add up all the x-coordinates where the functions f(x) = 4(-1|(3(-3((-1(-5x))/(-2(-5x) + 3)) + 3)) - 2| - 2)^2 + 3(-1|(3(-3((-1(-5x))/(-2(-5x) + 3)) + 3)) - 2| - 2) - 5 and g(x) = -4(4(3sin(3π(-1((-3x - 2)/(-2x + 3)) - 1) + 1) - 1)^2 - 4) - 5 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
If you add up all the x-coordinates where the functions f(x) = 3((-1(1((-1(-1|(2x + 5) - 3| + 2) - 3)/(3(-1|(2x + 5) - 3| + 2) - 2)) + 2) + 1)/(-1(1((-1(-1|(2x + 5) - 3| + 2) - 3)/(3(-1|(2x + 5) - 3| + 2) - 2)) + 2) + 2)) - 2 and g(x) = 3(1|(-4(3|((-1x - 3)/(1x + 3)) + 3| - 3)^2 + 1(3|((-1x - 3)/(1x + 3)) + 3| - 3) + 3) + 3| - 2)^2 - 4(1|(-4(3|((-1x - 3)/(1x + 3)) + 3| - 3)^2 + 1(3|((-1x - 3)/(1x + 3)) + 3| - 3) + 3) + 3| - 2) - 3 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = 3|((-3((-1((-2((2((-1x - 1)/(-2x)) - 2)/(-3((-1x - 1)/(-2x)) - 1)) + 2)/(3((2((-1x - 1)/(-2x)) - 2)/(-3((-1x - 1)/(-2x)) - 1)) + 3)) + 3)/(1((-2((2((-1x - 1)/(-2x)) - 2)/(-3((-1x - 1)/(-2x)) - 1)) + 2)/(3((2((-1x - 1)/(-2x)) - 2)/(-3((-1x - 1)/(-2x)) - 1)) + 3)) + 1)) + 1)/(-3((-1((-2((2((-1x - 1)/(-2x)) - 2)/(-3((-1x - 1)/(-2x)) - 1)) + 2)/(3((2((-1x - 1)/(-2x)) - 2)/(-3((-1x - 1)/(-2x)) - 1)) + 3)) + 3)/(1((-2((2((-1x - 1)/(-2x)) - 2)/(-3((-1x - 1)/(-2x)) - 1)) + 2)/(3((2((-1x - 1)/(-2x)) - 2)/(-3((-1x - 1)/(-2x)) - 1)) + 3)) + 1)) - 1)) - 1| - 1 and g(x) = 3|((-3(1(1(-2x^2 - 2x - 5) + 1) + 1) - 1)/(-1(1(1(-2x^2 - 2x - 5) + 1) + 1) + 3)) + 2| + 3 meet in the interval [-10, 10].

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


[User]
When ordered from left to right, what is the first x-coordinate (rounded to the nearest integer) where f(x) = 1|(-5(-1((3(1|(-3|x + 1| + 3) + 3| - 1))/(-2(1|(-3|x + 1| + 3) + 3| - 1) - 3)) - 2))| - 3 and g(x) = (2((1(3(-1|(5x^2 - 5x - 2) + 3| + 3) - 2) + 2)/(-2(3(-1|(5x^2 - 5x - 2) + 3| + 3) - 2) - 1)) + 3)/(-3((1(3(-1|(5x^2 - 5x - 2) + 3| + 3) - 2) + 2)/(-2(3(-1|(5x^2 - 5x - 2) + 3| + 3) - 2) - 1)) - 3) intersect in the interval [-10, 10]?

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


[User]
If you add up all the x-coordinates where the functions f(x) = -2(1|(3(-2e^(1(1(-5x + 1)^2 + 1(-5x + 1) - 1)) + 3) - 4)| - 2) + 4 and g(x) = (1((2((-3(2|((2x + 3)/(-2x + 3)) + 2|))/(-1(2|((2x + 3)/(-2x + 3)) + 2|) - 2)) - 3)/(-1((-3(2|((2x + 3)/(-2x + 3)) + 2|))/(-1(2|((2x + 3)/(-2x + 3)) + 2|) - 2)) - 2)) + 3)/(3((2((-3(2|((2x + 3)/(-2x + 3)) + 2|))/(-1(2|((2x + 3)/(-2x + 3)) + 2|) - 2)) - 3)/(-1((-3(2|((2x + 3)/(-2x + 3)) + 2|))/(-1(2|((2x + 3)/(-2x + 3)) + 2|) - 2)) - 2)) + 1) meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
When ordered from left to right, what is the first x-coordinate (rounded to the nearest integer) where f(x) = -3|((-1(1(-3e^(2(3((2x - 3)/(1x + 2)) + 4)) + 3) - 2) + 3)/(1(1(-3e^(2(3((2x - 3)/(1x + 2)) + 4)) + 3) - 2) + 3)) + 2| + 3 and g(x) = (-3(-5(5(-1(-4x^2 + 5x - 3)^2 - 5(-4x^2 + 5x - 3) - 3)^2 - 4(-1(-4x^2 + 5x - 3)^2 - 5(-4x^2 + 5x - 3) - 3) - 1)^2 + 4(5(-1(-4x^2 + 5x - 3)^2 - 5(-4x^2 + 5x - 3) - 3)^2 - 4(-1(-4x^2 + 5x - 3)^2 - 5(-4x^2 + 5x - 3) - 3) - 1) + 4) + 2)/(-1(-5(5(-1(-4x^2 + 5x - 3)^2 - 5(-4x^2 + 5x - 3) - 3)^2 - 4(-1(-4x^2 + 5x - 3)^2 - 5(-4x^2 + 5x - 3) - 3) - 1)^2 + 4(5(-1(-4x^2 + 5x - 3)^2 - 5(-4x^2 + 5x - 3) - 3)^2 - 4(-1(-4x^2 + 5x - 3)^2 - 5(-4x^2 + 5x - 3) - 3) - 1) + 4) + 3) intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the leftmost x-coordinate where f(x) = (-3((2((3(-3|((3(4x - 4) + 3)/(-1(4x - 4) - 1)) + 2| - 2) - 1)/(3(-3|((3(4x - 4) + 3)/(-1(4x - 4) - 1)) + 2| - 2) + 1)) - 3)/(1((3(-3|((3(4x - 4) + 3)/(-1(4x - 4) - 1)) + 2| - 2) - 1)/(3(-3|((3(4x - 4) + 3)/(-1(4x - 4) - 1)) + 2| - 2) + 1)) - 2)) - 1)/(3((2((3(-3|((3(4x - 4) + 3)/(-1(4x - 4) - 1)) + 2| - 2) - 1)/(3(-3|((3(4x - 4) + 3)/(-1(4x - 4) - 1)) + 2| - 2) + 1)) - 3)/(1((3(-3|((3(4x - 4) + 3)/(-1(4x - 4) - 1)) + 2| - 2) - 1)/(3(-3|((3(4x - 4) + 3)/(-1(4x - 4) - 1)) + 2| - 2) + 1)) - 2)) + 2) and g(x) = (1(1|((-2((2(-5x^2 + 5x - 5) - 2)/(-1(-5x^2 + 5x - 5) + 2)) - 3)/(-1((2(-5x^2 + 5x - 5) - 2)/(-1(-5x^2 + 5x - 5) + 2)) - 1)) + 1| - 2) + 2)/(-3(1|((-2((2(-5x^2 + 5x - 5) - 2)/(-1(-5x^2 + 5x - 5) + 2)) - 3)/(-1((2(-5x^2 + 5x - 5) - 2)/(-1(-5x^2 + 5x - 5) + 2)) - 1)) + 1| - 2) - 3) intersect in the interval [-10, 10]?

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


[User]
Round to the nearest integer: what is the leftmost x-coordinate where f(x) = 5(-3|(-4(-2((3(-1x + 2) - 1)/(2(-1x + 2) - 3))^2 + 4((3(-1x + 2) - 1)/(2(-1x + 2) - 3)) + 1) - 4)|)^2 - 1(-3|(-4(-2((3(-1x + 2) - 1)/(2(-1x + 2) - 3))^2 + 4((3(-1x + 2) - 1)/(2(-1x + 2) - 3)) + 1) - 4)|) + 2 and g(x) = -1cos(2π(3(1(-1(5x + 3) - 5)^2 - 4(-1(5x + 3) - 5) - 1)^2 + 5(1(-1(5x + 3) - 5)^2 - 4(-1(5x + 3) - 5) - 1)) + 3) + 3 intersect in the interval [-10, 10]?

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


[User]
At what integer value (rounded) do the functions f(x) = 5((1(-1|(-3(3sin(2π((-2x - 2)/(3x - 2))) + 2)^2 + 1(3sin(2π((-2x - 2)/(3x - 2))) + 2) - 4)| + 3) - 1)/(1(-1|(-3(3sin(2π((-2x - 2)/(3x - 2))) + 2)^2 + 1(3sin(2π((-2x - 2)/(3x - 2))) + 2) - 4)| + 3) - 2))^2 - 2((1(-1|(-3(3sin(2π((-2x - 2)/(3x - 2))) + 2)^2 + 1(3sin(2π((-2x - 2)/(3x - 2))) + 2) - 4)| + 3) - 1)/(1(-1|(-3(3sin(2π((-2x - 2)/(3x - 2))) + 2)^2 + 1(3sin(2π((-2x - 2)/(3x - 2))) + 2) - 4)| + 3) - 2)) - 4 and g(x) = 3((-1(-2|(3((3x)/(-2x + 3)) + 3) + 1| + 1) + 2)/(-3(-2|(3((3x)/(-2x + 3)) + 3) + 1| + 1) - 3)) + 3 intersect in the interval [-10, 10]?

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


[User]
Find the integer value closest to the x-coordinate where f(x) = 4(-1|(-2|(-1|(1(2x^2 - 4x - 2)^2 - 1(2x^2 - 4x - 2) - 1) - 1| + 2) + 2|) - 3| + 1)^2 + 2(-1|(-2|(-1|(1(2x^2 - 4x - 2)^2 - 1(2x^2 - 4x - 2) - 1) - 1| + 2) + 2|) - 3| + 1) + 4 and g(x) = 3(3|((2((-1((-3x + 2)/(-2x + 3)) - 1)/(1((-3x + 2)/(-2x + 3)))))/(1((-1((-3x + 2)/(-2x + 3)) - 1)/(1((-3x + 2)/(-2x + 3)))) - 2)) + 2| - 3) - 2 intersect in the range -10 ≤ x ≤ 10.

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = (-3((2((2(-1((3(-1x^2 + 3x + 4))/(-3(-1x^2 + 3x + 4) + 4))^2 - 2((3(-1x^2 + 3x + 4))/(-3(-1x^2 + 3x + 4) + 4)) + 4) + 3)/(2(-1((3(-1x^2 + 3x + 4))/(-3(-1x^2 + 3x + 4) + 4))^2 - 2((3(-1x^2 + 3x + 4))/(-3(-1x^2 + 3x + 4) + 4)) + 4) + 2)) - 3)/(2((2(-1((3(-1x^2 + 3x + 4))/(-3(-1x^2 + 3x + 4) + 4))^2 - 2((3(-1x^2 + 3x + 4))/(-3(-1x^2 + 3x + 4) + 4)) + 4) + 3)/(2(-1((3(-1x^2 + 3x + 4))/(-3(-1x^2 + 3x + 4) + 4))^2 - 2((3(-1x^2 + 3x + 4))/(-3(-1x^2 + 3x + 4) + 4)) + 4) + 2)) + 3)) + 1)/(3((2((2(-1((3(-1x^2 + 3x + 4))/(-3(-1x^2 + 3x + 4) + 4))^2 - 2((3(-1x^2 + 3x + 4))/(-3(-1x^2 + 3x + 4) + 4)) + 4) + 3)/(2(-1((3(-1x^2 + 3x + 4))/(-3(-1x^2 + 3x + 4) + 4))^2 - 2((3(-1x^2 + 3x + 4))/(-3(-1x^2 + 3x + 4) + 4)) + 4) + 2)) - 3)/(2((2(-1((3(-1x^2 + 3x + 4))/(-3(-1x^2 + 3x + 4) + 4))^2 - 2((3(-1x^2 + 3x + 4))/(-3(-1x^2 + 3x + 4) + 4)) + 4) + 3)/(2(-1((3(-1x^2 + 3x + 4))/(-3(-1x^2 + 3x + 4) + 4))^2 - 2((3(-1x^2 + 3x + 4))/(-3(-1x^2 + 3x + 4) + 4)) + 4) + 2)) + 3)) + 1) and g(x) = -1|(-3(-1(-2(-5x^2 - 4x - 2)^2 - 5(-5x^2 - 4x - 2) - 2)^2 + 4(-2(-5x^2 - 4x - 2)^2 - 5(-5x^2 - 4x - 2) - 2) - 5)^2 + 2) + 3| - 3 meet in the interval [-10, 10]?

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = (-3((2((-1(-1(-2cos(3π((-2x + 3)/(1x + 2)) + 3) + 2)^2 - 3(-2cos(3π((-2x + 3)/(1x + 2)) + 3) + 2) + 3))/(1(-1(-2cos(3π((-2x + 3)/(1x + 2)) + 3) + 2)^2 - 3(-2cos(3π((-2x + 3)/(1x + 2)) + 3) + 2) + 3) - 3)) - 3)/(2((-1(-1(-2cos(3π((-2x + 3)/(1x + 2)) + 3) + 2)^2 - 3(-2cos(3π((-2x + 3)/(1x + 2)) + 3) + 2) + 3))/(1(-1(-2cos(3π((-2x + 3)/(1x + 2)) + 3) + 2)^2 - 3(-2cos(3π((-2x + 3)/(1x + 2)) + 3) + 2) + 3) - 3)) - 1)) - 2)/(3((2((-1(-1(-2cos(3π((-2x + 3)/(1x + 2)) + 3) + 2)^2 - 3(-2cos(3π((-2x + 3)/(1x + 2)) + 3) + 2) + 3))/(1(-1(-2cos(3π((-2x + 3)/(1x + 2)) + 3) + 2)^2 - 3(-2cos(3π((-2x + 3)/(1x + 2)) + 3) + 2) + 3) - 3)) - 3)/(2((-1(-1(-2cos(3π((-2x + 3)/(1x + 2)) + 3) + 2)^2 - 3(-2cos(3π((-2x + 3)/(1x + 2)) + 3) + 2) + 3))/(1(-1(-2cos(3π((-2x + 3)/(1x + 2)) + 3) + 2)^2 - 3(-2cos(3π((-2x + 3)/(1x + 2)) + 3) + 2) + 3) - 3)) - 1)) - 2) and g(x) = -1(-4(1e^(-2(2|((1x - 2)/(2x))| - 2))) - 5)^2 + 5(-4(1e^(-2(2|((1x - 2)/(2x))| - 2))) - 5) - 2 intersect in the interval [-10, 10].

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = -4((2((-2((2((-2((2x + 1)/(1x - 2)))/(-1((2x + 1)/(1x - 2)) - 1)))/(1((-2((2x + 1)/(1x - 2)))/(-1((2x + 1)/(1x - 2)) - 1)) + 2)) + 1)/(1((2((-2((2x + 1)/(1x - 2)))/(-1((2x + 1)/(1x - 2)) - 1)))/(1((-2((2x + 1)/(1x - 2)))/(-1((2x + 1)/(1x - 2)) - 1)) + 2)) + 3)) - 2)/(-3((-2((2((-2((2x + 1)/(1x - 2)))/(-1((2x + 1)/(1x - 2)) - 1)))/(1((-2((2x + 1)/(1x - 2)))/(-1((2x + 1)/(1x - 2)) - 1)) + 2)) + 1)/(1((2((-2((2x + 1)/(1x - 2)))/(-1((2x + 1)/(1x - 2)) - 1)))/(1((-2((2x + 1)/(1x - 2)))/(-1((2x + 1)/(1x - 2)) - 1)) + 2)) + 3))))^2 - 4((2((-2((2((-2((2x + 1)/(1x - 2)))/(-1((2x + 1)/(1x - 2)) - 1)))/(1((-2((2x + 1)/(1x - 2)))/(-1((2x + 1)/(1x - 2)) - 1)) + 2)) + 1)/(1((2((-2((2x + 1)/(1x - 2)))/(-1((2x + 1)/(1x - 2)) - 1)))/(1((-2((2x + 1)/(1x - 2)))/(-1((2x + 1)/(1x - 2)) - 1)) + 2)) + 3)) - 2)/(-3((-2((2((-2((2x + 1)/(1x - 2)))/(-1((2x + 1)/(1x - 2)) - 1)))/(1((-2((2x + 1)/(1x - 2)))/(-1((2x + 1)/(1x - 2)) - 1)) + 2)) + 1)/(1((2((-2((2x + 1)/(1x - 2)))/(-1((2x + 1)/(1x - 2)) - 1)))/(1((-2((2x + 1)/(1x - 2)))/(-1((2x + 1)/(1x - 2)) - 1)) + 2)) + 3)))) + 4 and g(x) = -5((1(-4((3(5x^2 + 2x + 5) + 3)/(3(5x^2 + 2x + 5) + 1)) - 5) - 2)/(-3(-4((3(5x^2 + 2x + 5) + 3)/(3(5x^2 + 2x + 5) + 1)) - 5) - 3)) + 2 intersect in the interval [-10, 10].

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = 3((1(2|(-1(-1(-1e^(-1x) + 1)^2 - 3(-1e^(-1x) + 1) + 3) + 2)| - 1))/(3(2|(-1(-1(-1e^(-1x) + 1)^2 - 3(-1e^(-1x) + 1) + 3) + 2)| - 1) - 1)) + 3 and g(x) = 2(-1(-2|(1(1|x + 1| + 3) - 2) + 1| - 2)) + 4 intersect in the interval [-10, 10].

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


[User]
Round to the nearest integer: what is the leftmost x-coordinate where f(x) = 3|((1(2|((-1(3(2sin(2πx - 3) - 2) + 5) + 3)/(-1(3(2sin(2πx - 3) - 2) + 5) + 2)) + 3| + 2) - 1)/(-2(2|((-1(3(2sin(2πx - 3) - 2) + 5) + 3)/(-1(3(2sin(2πx - 3) - 2) + 5) + 2)) + 3| + 2) - 1)) - 2| and g(x) = 1|(1e^(1((3(5(-2|x + 1| + 3)) + 2)/(-2(5(-2|x + 1| + 3)) + 3))) - 3)| - 1 intersect in the interval [-10, 10]?

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


[User]
Find the average of all x-coordinates (rounded to the nearest integer) where f(x) = -1(-2|(-2|(2|(3((-3x + 3)/(1x)) - 1) - 2| + 1) - 1| + 1) - 1| - 2) - 3 and g(x) = (1(2(3((1(-2sin(3πx + 2) - 2) + 3)/(-2(-2sin(3πx + 2) - 2) + 1)) + 2) + 2) + 2)/(3(2(3((1(-2sin(3πx + 2) - 2) + 3)/(-2(-2sin(3πx + 2) - 2) + 1)) + 2) + 2) + 3) intersect in the interval [-10, 10].

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = 2(-2sin(1π((1(-2(-1((-1x - 2)/(-2x + 1)) + 5)^2 + 4(-1((-1x - 2)/(-2x + 1)) + 5) + 2) + 3)/(1(-2(-1((-1x - 2)/(-2x + 1)) + 5)^2 + 4(-1((-1x - 2)/(-2x + 1)) + 5) + 2))) - 1) - 3) - 1 and g(x) = (-3((-2((-1(-2e^(1((-3x + 3)/(2x + 1)))))/(2(-2e^(1((-3x + 3)/(2x + 1)))) - 1)) + 2)/(3((-1(-2e^(1((-3x + 3)/(2x + 1)))))/(2(-2e^(1((-3x + 3)/(2x + 1)))) - 1)) + 2)) - 2)/(-1((-2((-1(-2e^(1((-3x + 3)/(2x + 1)))))/(2(-2e^(1((-3x + 3)/(2x + 1)))) - 1)) + 2)/(3((-1(-2e^(1((-3x + 3)/(2x + 1)))))/(2(-2e^(1((-3x + 3)/(2x + 1)))) - 1)) + 2)) + 3) meet in the interval [-10, 10]?

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


[User]
Find the average of all x-coordinates (rounded to the nearest integer) where f(x) = (-1((-3(3e^(-2(-3|(-5((3x + 1)/(1x + 2))^2 - 3((3x + 1)/(1x + 2)) + 4) + 3| + 1)) + 1) + 3)/(-1(3e^(-2(-3|(-5((3x + 1)/(1x + 2))^2 - 3((3x + 1)/(1x + 2)) + 4) + 3| + 1)) + 1) - 3)) + 1)/(-1((-3(3e^(-2(-3|(-5((3x + 1)/(1x + 2))^2 - 3((3x + 1)/(1x + 2)) + 4) + 3| + 1)) + 1) + 3)/(-1(3e^(-2(-3|(-5((3x + 1)/(1x + 2))^2 - 3((3x + 1)/(1x + 2)) + 4) + 3| + 1)) + 1) - 3)) + 2) and g(x) = 2|(-1sin(1π((3(-5(2x + 5)^2 + 5))/(-2(-5(2x + 5)^2 + 5))) + 1) + 3) - 1| + 3 intersect in the interval [-10, 10].

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


[User]
If you add up all the x-coordinates where the functions f(x) = 5(2(-4(-2|(-4(-5x - 5) + 1) - 1| + 1) + 2) - 3) - 3 and g(x) = 2sin(3π(-1|(3|(3|((-3x - 3)/(-3x - 3)) + 2| + 1)| - 1) - 3| + 3) - 1) meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
Round to the nearest integer: what is the leftmost x-coordinate where f(x) = -1((3((-2(2|(2(-1x^2 + 2x - 4) + 1) + 3| + 2) + 3)/(2(2|(2(-1x^2 + 2x - 4) + 1) + 3| + 2) + 3)))/(3((-2(2|(2(-1x^2 + 2x - 4) + 1) + 3| + 2) + 3)/(2(2|(2(-1x^2 + 2x - 4) + 1) + 3| + 2) + 3)) - 1)) + 4 and g(x) = (1(3|(4(1((1x)/(2x - 1))) - 4) + 3|) + 1)/(-1(3|(4(1((1x)/(2x - 1))) - 4) + 3|) + 2) intersect in the interval [-10, 10]?

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


[User]
Find the integer value closest to the x-coordinate where f(x) = (-1(-2(3|(-1cos(2π(-2|(-2|x| + 1) + 3| + 3) + 1) + 3)| - 1)^2 + 3(3|(-1cos(2π(-2|(-2|x| + 1) + 3| + 3) + 1) + 3)| - 1) + 3) - 2)/(-1(-2(3|(-1cos(2π(-2|(-2|x| + 1) + 3| + 3) + 1) + 3)| - 1)^2 + 3(3|(-1cos(2π(-2|(-2|x| + 1) + 3| + 3) + 1) + 3)| - 1) + 3) + 2) and g(x) = (-3((-2((-3((-1((-1x - 1)/(-2x + 1)) - 2)/(3((-1x - 1)/(-2x + 1)) - 2)) + 2)/(3((-1((-1x - 1)/(-2x + 1)) - 2)/(3((-1x - 1)/(-2x + 1)) - 2)) + 2)) - 3)/(3((-3((-1((-1x - 1)/(-2x + 1)) - 2)/(3((-1x - 1)/(-2x + 1)) - 2)) + 2)/(3((-1((-1x - 1)/(-2x + 1)) - 2)/(3((-1x - 1)/(-2x + 1)) - 2)) + 2)) - 1)) - 3)/(2((-2((-3((-1((-1x - 1)/(-2x + 1)) - 2)/(3((-1x - 1)/(-2x + 1)) - 2)) + 2)/(3((-1((-1x - 1)/(-2x + 1)) - 2)/(3((-1x - 1)/(-2x + 1)) - 2)) + 2)) - 3)/(3((-3((-1((-1x - 1)/(-2x + 1)) - 2)/(3((-1x - 1)/(-2x + 1)) - 2)) + 2)/(3((-1((-1x - 1)/(-2x + 1)) - 2)/(3((-1x - 1)/(-2x + 1)) - 2)) + 2)) - 1)) - 1) intersect in the range -10 ≤ x ≤ 10.

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


[User]
Find the integer value closest to the x-coordinate where f(x) = -1|((2(-3(3(-2|(5x^2 + 4x - 1) - 2| - 1) + 1)^2 - 4(3(-2|(5x^2 + 4x - 1) - 2| - 1) + 1) - 2) - 3)/(1(-3(3(-2|(5x^2 + 4x - 1) - 2| - 1) + 1)^2 - 4(3(-2|(5x^2 + 4x - 1) - 2| - 1) + 1) - 2) + 2)) + 3| + 2 and g(x) = -4(3e^(1(3(4(3x - 5) + 3) + 1)) - 1) + 2 intersect in the range -10 ≤ x ≤ 10.

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


[User]
Find the integer closest to the largest x-value where the functions f(x) = -2|((3((1(-2|(3|(-3cos(1πx - 3) - 3) - 3| - 1) - 1| - 1) - 2)/(-1(-2|(3|(-3cos(1πx - 3) - 3) - 3| - 1) - 1| - 1) - 1)) + 2)/(-1((1(-2|(3|(-3cos(1πx - 3) - 3) - 3| - 1) - 1| - 1) - 2)/(-1(-2|(3|(-3cos(1πx - 3) - 3) - 3| - 1) - 1| - 1) - 1)) + 2)) + 2| - 1 and g(x) = -4((-3(3(-4(-5x - 5) - 3)^2 + 3(-4(-5x - 5) - 3) - 5) - 1)/(-2(3(-4(-5x - 5) - 3)^2 + 3(-4(-5x - 5) - 3) - 5) - 1)) + 3 meet in the interval [-10, 10].

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


[User]
Find the integer closest to the smallest x-value where the functions f(x) = (1(-1(4(-1(-1|((3x - 3)/(-2x - 3)) + 3| - 1)^2 + 5(-1|((3x - 3)/(-2x - 3)) + 3| - 1) + 5) + 3)^2 - 3(4(-1(-1|((3x - 3)/(-2x - 3)) + 3| - 1)^2 + 5(-1|((3x - 3)/(-2x - 3)) + 3| - 1) + 5) + 3) + 2))/(-3(-1(4(-1(-1|((3x - 3)/(-2x - 3)) + 3| - 1)^2 + 5(-1|((3x - 3)/(-2x - 3)) + 3| - 1) + 5) + 3)^2 - 3(4(-1(-1|((3x - 3)/(-2x - 3)) + 3| - 1)^2 + 5(-1|((3x - 3)/(-2x - 3)) + 3| - 1) + 5) + 3) + 2) - 3) and g(x) = (3(2|(3(-4(1sin(2πx - 1) - 1)^2 + 1(1sin(2πx - 1) - 1) + 2)^2 + 3(-4(1sin(2πx - 1) - 1)^2 + 1(1sin(2πx - 1) - 1) + 2)) + 3| - 1) + 2)/(-3(2|(3(-4(1sin(2πx - 1) - 1)^2 + 1(1sin(2πx - 1) - 1) + 2)^2 + 3(-4(1sin(2πx - 1) - 1)^2 + 1(1sin(2πx - 1) - 1) + 2)) + 3| - 1) + 1) meet in the interval [-10, 10].

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = -3|(2((-3(-3|(-1(-1e^(2x) - 1)^2 - 5) + 1| - 3))/(2(-3|(-1(-1e^(2x) - 1)^2 - 5) + 1| - 3) + 3))^2 - 3) + 3| - 2 and g(x) = -4(1|(1|(1|((3x - 3)/(-1x - 2)) - 1| - 2) + 1| - 3) - 2| - 1)^2 - 5(1|(1|(1|((3x - 3)/(-1x - 2)) - 1| - 2) + 1| - 3) - 2| - 1) + 3 meet in the interval [-10, 10]?

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


[User]
Find the second intersection point (counting from left to right) between the functions f(x) = (-3(-2(3(-1((3((-3x + 2)/(-2x)))/(2((-3x + 2)/(-2x)) + 3)) + 2)^2 + 4(-1((3((-3x + 2)/(-2x)))/(2((-3x + 2)/(-2x)) + 3)) + 2) - 4)^2 - 2(3(-1((3((-3x + 2)/(-2x)))/(2((-3x + 2)/(-2x)) + 3)) + 2)^2 + 4(-1((3((-3x + 2)/(-2x)))/(2((-3x + 2)/(-2x)) + 3)) + 2) - 4) + 4) - 3)/(1(-2(3(-1((3((-3x + 2)/(-2x)))/(2((-3x + 2)/(-2x)) + 3)) + 2)^2 + 4(-1((3((-3x + 2)/(-2x)))/(2((-3x + 2)/(-2x)) + 3)) + 2) - 4)^2 - 2(3(-1((3((-3x + 2)/(-2x)))/(2((-3x + 2)/(-2x)) + 3)) + 2)^2 + 4(-1((3((-3x + 2)/(-2x)))/(2((-3x + 2)/(-2x)) + 3)) + 2) - 4) + 4)) and g(x) = (-3(2e^(1(1|((2(-1x^2 + 1x + 5) + 1)/(-2(-1x^2 + 1x + 5) - 1)) - 2|)) - 2))/(-3(2e^(1(1|((2(-1x^2 + 1x + 5) + 1)/(-2(-1x^2 + 1x + 5) - 1)) - 2|)) - 2) + 2) in the interval [-10, 10], rounded to the nearest integer.

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = 4(3|(5(2e^(1(3|((-1x)/(3x + 2)) - 2|)) - 2) + 2) - 3| - 2) and g(x) = (-1(1((3(1(-4x^2 - 4x - 4) + 4))/(2(1(-4x^2 - 4x - 4) + 4) - 1))^2 + 1((3(1(-4x^2 - 4x - 4) + 4))/(2(1(-4x^2 - 4x - 4) + 4) - 1))) - 3)/(2(1((3(1(-4x^2 - 4x - 4) + 4))/(2(1(-4x^2 - 4x - 4) + 4) - 1))^2 + 1((3(1(-4x^2 - 4x - 4) + 4))/(2(1(-4x^2 - 4x - 4) + 4) - 1))) + 2) meet in the interval [-10, 10]?

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


[User]
Find the integer closest to the smallest x-value where the functions f(x) = 1|(-2|((3(3(-5(-1x - 1) + 4)^2 + 2(-5(-1x - 1) + 4) - 1) - 3)/(1(3(-5(-1x - 1) + 4)^2 + 2(-5(-1x - 1) + 4) - 1) - 2)) - 1| + 1) - 1| - 3 and g(x) = (-2(2|(4(-2|(-1x^2 + 3x + 3) + 3|)) - 3|) - 1)/(3(2|(4(-2|(-1x^2 + 3x + 3) + 3|)) - 3|) + 3) meet in the interval [-10, 10].

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


[User]
If you add up all the x-coordinates where the functions f(x) = -1|(-1((-1((-2((3((2x - 1)/(-1x)) - 2)/(-3((2x - 1)/(-1x)) - 2)) - 2)/(-2((3((2x - 1)/(-1x)) - 2)/(-3((2x - 1)/(-1x)) - 2)))) - 3)/(-2((-2((3((2x - 1)/(-1x)) - 2)/(-3((2x - 1)/(-1x)) - 2)) - 2)/(-2((3((2x - 1)/(-1x)) - 2)/(-3((2x - 1)/(-1x)) - 2)))) - 2)) + 3) + 1| and g(x) = 3sin(1π(3(1|(2(1x^2 + 4x - 4)^2 - 1(1x^2 + 4x - 4) - 4)| + 3) + 1) + 2) + 2 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


[User]
Find the sum of all x-coordinates (rounded to the nearest integer) where f(x) = -1((-2(1|(2(1sin(1π(1x^2 + 3x - 4) + 1) + 1)^2 + 2(1sin(1π(1x^2 + 3x - 4) + 1) + 1) + 1) - 1|) + 3)/(1(1|(2(1sin(1π(1x^2 + 3x - 4) + 1) + 1)^2 + 2(1sin(1π(1x^2 + 3x - 4) + 1) + 1) + 1) - 1|) + 2)) + 2 and g(x) = (-1(-2sin(2π(-4(4(-2|x - 3| - 3)^2 - 4(-2|x - 3| - 3) - 4)^2 + 1(4(-2|x - 3| - 3)^2 - 4(-2|x - 3| - 3) - 4))) - 1))/(-2(-2sin(2π(-4(4(-2|x - 3| - 3)^2 - 4(-2|x - 3| - 3) - 4)^2 + 1(4(-2|x - 3| - 3)^2 - 4(-2|x - 3| - 3) - 4))) - 1) + 1) intersect in the interval [-10, 10].

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


[User]
When ordered from left to right, what is the first x-coordinate (rounded to the nearest integer) where f(x) = 1e^(-2(1((3(-3(1(-3|x + 1| + 3) - 4)^2 - 3(1(-3|x + 1| + 3) - 4) - 5))/(2(-3(1(-3|x + 1| + 3) - 4)^2 - 3(1(-3|x + 1| + 3) - 4) - 5) - 3))^2 + 5((3(-3(1(-3|x + 1| + 3) - 4)^2 - 3(1(-3|x + 1| + 3) - 4) - 5))/(2(-3(1(-3|x + 1| + 3) - 4)^2 - 3(1(-3|x + 1| + 3) - 4) - 5) - 3)))) - 1 and g(x) = 2((-2(2(-5(-5x^2 + 1)) - 3))/(2(2(-5(-5x^2 + 1)) - 3) - 1)) - 1 intersect in the interval [-10, 10]?

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = -2e^(1((-2((3(-4(-3(-1x + 1)^2 - 2(-1x + 1))^2 - 4(-3(-1x + 1)^2 - 2(-1x + 1)) + 5) + 2)/(3(-4(-3(-1x + 1)^2 - 2(-1x + 1))^2 - 4(-3(-1x + 1)^2 - 2(-1x + 1)) + 5) + 1)) + 2)/(2((3(-4(-3(-1x + 1)^2 - 2(-1x + 1))^2 - 4(-3(-1x + 1)^2 - 2(-1x + 1)) + 5) + 2)/(3(-4(-3(-1x + 1)^2 - 2(-1x + 1))^2 - 4(-3(-1x + 1)^2 - 2(-1x + 1)) + 5) + 1)) - 1))) + 3 and g(x) = (-1(-2((-3(2(5x - 3) + 2) + 3)/(-3(2(5x - 3) + 2) + 4)) - 4) - 3)/(2(-2((-3(2(5x - 3) + 2) + 3)/(-3(2(5x - 3) + 2) + 4)) - 4)) meet in the interval [-10, 10]?

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


[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = (1(3(1sin(2π((-1(-3((-2x - 2)/(1x + 1)) - 2) - 3)/(2(-3((-2x - 2)/(1x + 1)) - 2) + 1)) - 3) - 2) - 5) + 3)/(2(3(1sin(2π((-1(-3((-2x - 2)/(1x + 1)) - 2) - 3)/(2(-3((-2x - 2)/(1x + 1)) - 2) + 1)) - 3) - 2) - 5) + 2) and g(x) = -2(-3(3((-1((-3x + 2)/(-1x + 2)) - 2)/(2((-3x + 2)/(-1x + 2)) + 1))) + 3)^2 + 3(-3(3((-1((-3x + 2)/(-1x + 2)) - 2)/(2((-3x + 2)/(-1x + 2)) + 1))) + 3) + 1 meet in the interval [-10, 10]?

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


[User]
Find the average of all x-coordinates (rounded to the nearest integer) where f(x) = 3(1(-2(3(1|(-1x^2 - 4x) - 1| - 3)^2 + 1(1|(-1x^2 - 4x) - 1| - 3) + 1) - 4) - 1)^2 + 5(1(-2(3(1|(-1x^2 - 4x) - 1| - 3)^2 + 1(1|(-1x^2 - 4x) - 1| - 3) + 1) - 4) - 1) + 4 and g(x) = -1(-3|(1|(-2(1x^2 - 4x - 5) + 3) - 1|)| - 1) intersect in the interval [-10, 10].

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


[User]
Find the average of all x-coordinates (rounded to the nearest integer) where f(x) = -3e^(-2(-5((2(-3|(-1((3x + 3)/(-3x - 3)) - 5) + 1| - 2) + 2)/(3(-3|(-1((3x + 3)/(-3x - 3)) - 5) + 1| - 2) - 1)) - 2)) + 2 and g(x) = -1|(-1(4((-2((-1x + 3)/(-3x + 2)) - 1)/(1((-1x + 3)/(-3x + 2)) - 3)) + 4)^2 + 1) - 3| + 2 intersect in the interval [-10, 10].

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


[User]
Find the first intersection point (counting from left to right) between the functions f(x) = -5(-1cos(1π((3((2(-2((-1x + 1)/(3x + 3)) - 4) - 2)/(-2(-2((-1x + 1)/(3x + 3)) - 4) + 1)))/(1((2(-2((-1x + 1)/(3x + 3)) - 4) - 2)/(-2(-2((-1x + 1)/(3x + 3)) - 4) + 1)) - 2)) + 3) - 2) + 5 and g(x) = 1|(4(-4(-4((-1x - 1)/(-2x + 3)) - 3) + 1) - 5) + 3| in the interval [-10, 10], rounded to the nearest integer.

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