[User]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = (2(-3((-1(3|(-1x^2 - 1x + 3) - 3| - 3) + 2)/(-1(3|(-1x^2 - 1x + 3) - 3| - 3) - 1)) - 1) + 1)/(-1(-3((-1(3|(-1x^2 - 1x + 3) - 3| - 3) + 2)/(-1(3|(-1x^2 - 1x + 3) - 3| - 3) - 1)) - 1) + 3) and g(x) = -5(-1(-2cos(2π(3x^2 + 5)) - 3) - 5) + 4 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(-1|(-4(-4x + 2)^2 - 2(-4x + 2) + 2) + 2| + 3)^2 - 2(-1|(-4(-4x + 2)^2 - 2(-4x + 2) + 2) + 2| + 3)) + 1)/(3(-1(-1|(-4(-4x + 2)^2 - 2(-4x + 2) + 2) + 2| + 3)^2 - 2(-1|(-4(-4x + 2)^2 - 2(-4x + 2) + 2) + 2| + 3))) and g(x) = -5((2((1(2|x - 2|) - 2)/(2(2|x - 2|) + 1)) - 2)/(-1((1(2|x - 2|) - 2)/(2(2|x - 2|) + 1)) + 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) = 3|(-3|(2e^(-1(4(-2|x + 1| - 3)^2 + 5(-2|x + 1| - 3) + 1)) + 1) - 2|) - 3| - 1 and g(x) = -3(-5((2((-1x + 2)/(2x - 1)) - 2)/(-2((-1x + 2)/(2x - 1)) + 1))) - 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((-3((3(2e^(1(-2x + 2)) - 3) - 1)/(-2(2e^(1(-2x + 2)) - 3) + 3)) - 2)/(2((3(2e^(1(-2x + 2)) - 3) - 1)/(-2(2e^(1(-2x + 2)) - 3) + 3)) - 3)) - 4 and g(x) = 5(-1((2(-3|x - 3| - 2) - 3)/(3(-3|x - 3| - 2))))^2 + 2(-1((2(-3|x - 3| - 2) - 3)/(3(-3|x - 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) = 1(-1|(-4(-2|(2|x - 1| + 3)| - 1) - 3) + 1|) + 5 and g(x) = (1(5((1(3x) - 3)/(-2(3x) + 3)) - 5) - 2)/(1(5((1(3x) - 3)/(-2(3x) + 3)) - 5)) 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) = 3(2(1((-2(4x^2 + 4x + 3) + 3)/(2(4x^2 + 4x + 3) - 1))^2 - 3((-2(4x^2 + 4x + 3) + 3)/(2(4x^2 + 4x + 3) - 1)) - 3)^2 - 3(1((-2(4x^2 + 4x + 3) + 3)/(2(4x^2 + 4x + 3) - 1))^2 - 3((-2(4x^2 + 4x + 3) + 3)/(2(4x^2 + 4x + 3) - 1)) - 3) + 1) - 4 and g(x) = (-1(-3(-1(-3|x + 2| + 2) + 3)^2 + 5(-1(-3|x + 2| + 2) + 3) - 2))/(-3(-3(-1(-3|x + 2| + 2) + 3)^2 + 5(-1(-3|x + 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) = -2|((3(4(-4(1x^2 - 4x)^2 - 1(1x^2 - 4x) - 5)^2 + 2(-4(1x^2 - 4x)^2 - 1(1x^2 - 4x) - 5) + 4) - 2)/(1(4(-4(1x^2 - 4x)^2 - 1(1x^2 - 4x) - 5)^2 + 2(-4(1x^2 - 4x)^2 - 1(1x^2 - 4x) - 5) + 4) + 2)) - 3| + 1 and g(x) = (3(1(-1e^(2((3x - 2)/(-1x + 3))) - 1) + 2) + 1)/(2(1(-1e^(2((3x - 2)/(-1x + 3))) - 1) + 2) - 1) 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) = (-2((-3((-1(1(1|x - 2| - 2)^2 + 3(1|x - 2| - 2) - 3) + 3)/(-2(1(1|x - 2| - 2)^2 + 3(1|x - 2| - 2) - 3))) + 3)/(-2((-1(1(1|x - 2| - 2)^2 + 3(1|x - 2| - 2) - 3) + 3)/(-2(1(1|x - 2| - 2)^2 + 3(1|x - 2| - 2) - 3))))) - 2)/(3((-3((-1(1(1|x - 2| - 2)^2 + 3(1|x - 2| - 2) - 3) + 3)/(-2(1(1|x - 2| - 2)^2 + 3(1|x - 2| - 2) - 3))) + 3)/(-2((-1(1(1|x - 2| - 2)^2 + 3(1|x - 2| - 2) - 3) + 3)/(-2(1(1|x - 2| - 2)^2 + 3(1|x - 2| - 2) - 3)))))) and g(x) = 3|((-2(2e^(-1((1x)/(-3x))) - 3) + 3)/(1(2e^(-1((1x)/(-3x))) - 3) - 2)) + 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) = (1((1(1|(2cos(2π((-2x)/(3x + 1)) + 1) - 1) + 2| - 2))/(-1(1|(2cos(2π((-2x)/(3x + 1)) + 1) - 1) + 2| - 2))) - 3)/(3((1(1|(2cos(2π((-2x)/(3x + 1)) + 1) - 1) + 2| - 2))/(-1(1|(2cos(2π((-2x)/(3x + 1)) + 1) - 1) + 2| - 2))) + 2) and g(x) = 1(1|(1|(-2x^2 + 1x + 2) - 2| + 1) + 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]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = 1|(-2(-2sin(1π(-1|((2x + 3)/(1x - 3))| - 1) - 3) + 2)^2 - 2(-2sin(1π(-1|((2x + 3)/(1x - 3))| - 1) - 3) + 2) - 4) - 1| + 1 and g(x) = 5((3(1|((-2x + 2)/(2x - 1)) + 2| - 1))/(1(1|((-2x + 2)/(2x - 1)) + 2| - 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 rightmost x-coordinate where f(x) = 3((3(-3(-2(-4x + 4) - 1) + 2) - 1)/(-2(-3(-2(-4x + 4) - 1) + 2) + 1))^2 + 4((3(-3(-2(-4x + 4) - 1) + 2) - 1)/(-2(-3(-2(-4x + 4) - 1) + 2) + 1)) - 5 and g(x) = (1(3|(-3sin(2π((2x - 1)/(2x - 1))) + 2)| + 2) + 3)/(3(3|(-3sin(2π((2x - 1)/(2x - 1))) + 2)| + 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 x-coordinate where the graphs of f(x) = (1(-1(2|((3((3x + 1)/(2x - 1)) - 1)/(-1((3x + 1)/(2x - 1)) + 2))| - 2) - 2) + 2)/(-3(-1(2|((3((3x + 1)/(2x - 1)) - 1)/(-1((3x + 1)/(2x - 1)) + 2))| - 2) - 2) + 2) and g(x) = -2(5(-4((-1x - 2)/(3x - 2)) + 5) + 5) - 3 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(-5((-1((1(-2x^2 - 4x - 4) + 3)/(-1(-2x^2 - 4x - 4) - 3)) - 3)/(-1((1(-2x^2 - 4x - 4) + 3)/(-1(-2x^2 - 4x - 4) - 3)) + 2)) - 2) - 4 and g(x) = -1(2e^(2((1((1x - 3)/(-1x + 2)))/(-3((1x - 3)/(-1x + 2)) + 1))) - 2)^2 + 5(2e^(2((1((1x - 3)/(-1x + 2)))/(-3((1x - 3)/(-1x + 2)) + 1))) - 2) + 4 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 leftmost x-coordinate where f(x) = 5(1|((-3(2|(-1x^2 + 1x + 2) + 1| + 2) + 1)/(-1(2|(-1x^2 + 1x + 2) + 1| + 2) + 2)) - 2| + 1)^2 + 1(1|((-3(2|(-1x^2 + 1x + 2) + 1| + 2) + 1)/(-1(2|(-1x^2 + 1x + 2) + 1| + 2) + 2)) - 2| + 1) - 1 and g(x) = (-1(1(1(-3|x - 2| - 2) + 5) + 3) + 1)/(-3(1(1(-3|x - 2| - 2) + 5) + 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) = (-2(3|(-1|(1sin(3π(1|x + 3| + 2)) - 1) - 3| + 2) + 1| + 3) - 1)/(1(3|(-1|(1sin(3π(1|x + 3| + 2)) - 1) - 3| + 2) + 1| + 3) + 2) and g(x) = 1(-2|((-2(-2x + 3))/(-2(-2x + 3) + 3)) + 2| + 1)^2 - 3(-2|((-2(-2x + 3))/(-2(-2x + 3) + 3)) + 2| + 1) - 4 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 leftmost x-coordinate where f(x) = -5(1(-4(2e^(1(-1x^2 - 1x + 1)) - 3)) - 1) + 2 and g(x) = (1(5(-3|(1x^2 + 3x - 5) - 2| - 3)^2 + 5(-3|(1x^2 + 3x - 5) - 2| - 3) - 3) - 3)/(1(5(-3|(1x^2 + 3x - 5) - 2| - 3)^2 + 5(-3|(1x^2 + 3x - 5) - 2| - 3) - 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) = 4((1(5((-1(4x^2 + 3x - 5))/(-3(4x^2 + 3x - 5) + 1))) - 3)/(3(5((-1(4x^2 + 3x - 5))/(-3(4x^2 + 3x - 5) + 1))) - 2)) - 1 and g(x) = -1cos(3π((-1(3(-3|x + 3| - 3) + 1) - 3)/(-3(3(-3|x + 3| - 3) + 1))) - 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) = (2(1(-4(-2e^(-2((-2x - 2)/(-3x + 1))))^2 + 1(-2e^(-2((-2x - 2)/(-3x + 1)))) + 3)^2 - 4(-4(-2e^(-2((-2x - 2)/(-3x + 1))))^2 + 1(-2e^(-2((-2x - 2)/(-3x + 1)))) + 3) - 5) + 3)/(-3(1(-4(-2e^(-2((-2x - 2)/(-3x + 1))))^2 + 1(-2e^(-2((-2x - 2)/(-3x + 1)))) + 3)^2 - 4(-4(-2e^(-2((-2x - 2)/(-3x + 1))))^2 + 1(-2e^(-2((-2x - 2)/(-3x + 1)))) + 3) - 5) + 1) and g(x) = 2(-2(3sin(3π(2|x + 3| - 3) - 1) + 1) - 4)^2 - 4(-2(3sin(3π(2|x + 3| - 3) - 1) + 1) - 4) + 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) = -3(-2(2(-1e^(-2(-3x^2 + 5)) - 1)^2 - 3(-1e^(-2(-3x^2 + 5)) - 1) - 5) - 3)^2 + 1(-2(2(-1e^(-2(-3x^2 + 5)) - 1)^2 - 3(-1e^(-2(-3x^2 + 5)) - 1) - 5) - 3) - 3 and g(x) = -5(-2|(-1((-3x + 3)/(1x))^2 + 2((-3x + 3)/(1x)) - 3) - 1| + 2)^2 - 4 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(1|(1|(-4((-3x + 1)/(1x + 3))^2 - 4((-3x + 1)/(1x + 3)) - 1) - 2| - 2)| - 1) - 3)/(1(1|(1|(-4((-3x + 1)/(1x + 3))^2 - 4((-3x + 1)/(1x + 3)) - 1) - 2| - 2)| - 1)) and g(x) = 1|((-2(-2|((-3x + 2)/(-3x + 2))| + 3) + 2)/(-3(-2|((-3x + 2)/(-3x + 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]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = -2(-1(-2e^(1((-1((2x + 1)/(-1x + 2)) + 3)/(3((2x + 1)/(-1x + 2)) - 2))) - 1)^2 + 4) + 5 and g(x) = -1|(3|((-1(-1|x - 2| + 2) - 3)/(2(-1|x - 2| + 2) + 2)) - 3| + 2) - 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(3|((-2(2cos(1π(-1|x + 2| - 2) - 1) + 3) + 2)/(-3(2cos(1π(-1|x + 2| - 2) - 1) + 3) - 3)) + 2| - 3) - 3 and g(x) = (-1((2(-1((2x - 2)/(1x + 2)) - 5) + 3)/(1(-1((2x - 2)/(1x + 2)) - 5) - 2)) - 2)/(3((2(-1((2x - 2)/(1x + 2)) - 5) + 3)/(1(-1((2x - 2)/(1x + 2)) - 5) - 2)) + 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 second x-coordinate (rounded to the nearest integer) where f(x) = -4(2sin(3π(-2((1((-3x - 3)/(-2x - 1)) - 1)/(-2((-3x - 3)/(-2x - 1)) - 1)) - 5) - 2)) + 5 and g(x) = -1(-4(-1(5x - 4)^2 - 1(5x - 4) - 1)^2 + 4(-1(5x - 4)^2 - 1(5x - 4) - 1) - 4) + 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) = -1(3(-1((1(-3x + 5) - 2)/(2(-3x + 5) + 2)) - 1)^2 + 2(-1((1(-3x + 5) - 2)/(2(-3x + 5) + 2)) - 1) - 3)^2 - 3(3(-1((1(-3x + 5) - 2)/(2(-3x + 5) + 2)) - 1)^2 + 2(-1((1(-3x + 5) - 2)/(2(-3x + 5) + 2)) - 1) - 3) + 5 and g(x) = -2|(1(3(2|x + 3| - 3)^2 - 5(2|x + 3| - 3) + 2)^2 - 4(3(2|x + 3| - 3)^2 - 5(2|x + 3| - 3) + 2)) + 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 smallest x-value where the functions f(x) = 5(-3cos(1π(1(-3|((-2x - 2)/(-3x - 2))| - 1) + 3) - 2)) + 2 and g(x) = 3(1|(-5((-2x + 3)/(3x - 1))^2 - 3) + 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) = (3(3(5(1(1|x - 3| - 2) + 1) + 1)) + 3)/(1(3(5(1(1|x - 3| - 2) + 1) + 1))) and g(x) = -2|((-1(1|(2cos(1πx + 2) - 3) + 3| + 2) - 3)/(-2(1|(2cos(1πx + 2) - 3) + 3| + 2) + 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) = 2e^(-1((2(-3|(-2|(1|x + 3| - 1) - 3| + 3) - 1|) - 3)/(2(-3|(-2|(1|x + 3| - 1) - 3| + 3) - 1|) + 1))) - 3 and g(x) = -3(3((3((-1x - 1)/(2x - 3)) - 3)/(-3((-1x - 1)/(2x - 3)) - 2)) + 5) + 3 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(-2|((1(-2x^2 - 1x + 4) + 1)/(-1(-2x^2 - 1x + 4) + 3)) - 2|)^2 + 3(-2|((1(-2x^2 - 1x + 4) + 1)/(-1(-2x^2 - 1x + 4) + 3)) - 2|) + 2))/(2(3(-2|((1(-2x^2 - 1x + 4) + 1)/(-1(-2x^2 - 1x + 4) + 3)) - 2|)^2 + 3(-2|((1(-2x^2 - 1x + 4) + 1)/(-1(-2x^2 - 1x + 4) + 3)) - 2|) + 2) - 1) and g(x) = (1(4(4((3x - 1)/(1x - 2)) + 4) + 1))/(1(4(4((3x - 1)/(1x - 2)) + 4) + 1) + 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) = (-1(1|(-2(2|(-1|x + 2| - 3) - 1|)^2 + 4(2|(-1|x + 2| - 3) - 1|) + 2) - 3| - 1) - 2)/(-2(1|(-2(2|(-1|x + 2| - 3) - 1|)^2 + 4(2|(-1|x + 2| - 3) - 1|) + 2) - 3| - 1)) and g(x) = -1|(-2((-1(1e^(-2x) - 3) - 3)/(-2(1e^(-2x) - 3) + 3))^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) = -1|(3|(2(-1(1cos(2πx + 3) + 1) + 1)^2 - 2(-1(1cos(2πx + 3) + 1) + 1) - 5) + 3| - 3)| - 3 and g(x) = -3|(1((1(-2e^(2x)) - 2)/(2(-2e^(2x)) + 3)) + 4) + 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 rightmost x-coordinate where f(x) = -4((1(1|(-4((-1x + 1)/(3x + 2)) - 3)| + 1) - 1)/(-1(1|(-4((-1x + 1)/(3x + 2)) - 3)| + 1) + 3)) - 2 and g(x) = 4(-3(-1sin(1π(-1x - 2) + 3) - 3) - 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) = (-1((2(1(-1(-5x + 1) - 3)^2 - 5(-1(-5x + 1) - 3) - 3) - 2)/(-2(1(-1(-5x + 1) - 3)^2 - 5(-1(-5x + 1) - 3) - 3) + 1)) + 3)/(3((2(1(-1(-5x + 1) - 3)^2 - 5(-1(-5x + 1) - 3) - 3) - 2)/(-2(1(-1(-5x + 1) - 3)^2 - 5(-1(-5x + 1) - 3) - 3) + 1)) + 2) and g(x) = 1|(3|(2e^(-1((-3x - 2)/(-2x + 3))) - 3) - 3| - 3)| + 1 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) = -4(-1|((2(2(-1|x - 1| - 3)^2 + 2(-1|x - 1| - 3) + 4) - 1)/(3(2(-1|x - 1| - 3)^2 + 2(-1|x - 1| - 3) + 4))) + 2| - 1)^2 - 4(-1|((2(2(-1|x - 1| - 3)^2 + 2(-1|x - 1| - 3) + 4) - 1)/(3(2(-1|x - 1| - 3)^2 + 2(-1|x - 1| - 3) + 4))) + 2| - 1) - 3 and g(x) = 4(2((-2((2x - 3)/(-2x - 3)) + 2)/(-1((2x - 3)/(-2x - 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) = 1(-3(-5((-1((-3x - 2)/(1x + 3)) - 3)/(2((-3x - 2)/(1x + 3)) - 1))^2 + 3((-1((-3x - 2)/(1x + 3)) - 3)/(2((-3x - 2)/(1x + 3)) - 1)) + 4))^2 + 5(-3(-5((-1((-3x - 2)/(1x + 3)) - 3)/(2((-3x - 2)/(1x + 3)) - 1))^2 + 3((-1((-3x - 2)/(1x + 3)) - 3)/(2((-3x - 2)/(1x + 3)) - 1)) + 4)) + 1 and g(x) = 3(-3(-1|(3x + 4) - 1| + 1) + 2)^2 - 5(-3(-1|(3x + 4) - 1| + 1) + 2) + 4 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) = -3((-3(4((-2((-2x + 3)/(-2x + 3)) + 2)/(1((-2x + 3)/(-2x + 3)) - 2)) + 2) + 2)/(-1(4((-2((-2x + 3)/(-2x + 3)) + 2)/(1((-2x + 3)/(-2x + 3)) - 2)) + 2) - 3)) + 4 and g(x) = -3(4(2(2e^(1x) - 2)^2 - 1(2e^(1x) - 2) + 1) - 4)^2 - 5(4(2(2e^(1x) - 2)^2 - 1(2e^(1x) - 2) + 1) - 4) + 1 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(2e^(-2(-3|((-2x + 3)/(1x - 3)) + 2| + 2)) - 3) - 3) + 2)/(-1(3(2e^(-2(-3|((-2x + 3)/(1x - 3)) + 2| + 2)) - 3) - 3)) and g(x) = -1(-1(2|((2x + 1)/(3x - 1)) - 1| + 1) - 4) - 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(1sin(3π(-2|(-1|(3x^2 + 2) - 2| + 1) + 3| - 3) - 1) + 2) + 5 and g(x) = 1((2((1(5x + 1) - 1)/(3(5x + 1) - 2)) - 1)/(2((1(5x + 1) - 1)/(3(5x + 1) - 2)) + 3))^2 + 1((2((1(5x + 1) - 1)/(3(5x + 1) - 2)) - 1)/(2((1(5x + 1) - 1)/(3(5x + 1) - 2)) + 3)) + 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) = -4(1e^(1(4(-3(-3x + 4) - 4)^2 - 3(-3(-3x + 4) - 4) + 1)) - 1)^2 + 1 and g(x) = -2sin(1π(1(-1|((2x + 1)/(-3x + 1)) - 3|)^2 - 3) + 3) - 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) = 1(1(-5((2(-4x - 2) + 1)/(-1(-4x - 2))) - 4)^2 + 4(-5((2(-4x - 2) + 1)/(-1(-4x - 2))) - 4) + 2)^2 - 1(1(-5((2(-4x - 2) + 1)/(-1(-4x - 2))) - 4)^2 + 4(-5((2(-4x - 2) + 1)/(-1(-4x - 2))) - 4) + 2) - 3 and g(x) = -1|(1(-1e^(-2((-2x - 2)/(-3x - 1)))) + 5) + 1| + 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) = 2|((-1(4((3((-2x + 1)/(3x + 2)) - 2)/(-2((-2x + 1)/(3x + 2)) - 2)) + 3) + 1)/(3(4((3((-2x + 1)/(3x + 2)) - 2)/(-2((-2x + 1)/(3x + 2)) - 2)) + 3) - 1)) - 2| - 3 and g(x) = (1(2|(-1|((3x + 3)/(-2x + 3)) + 2| - 3) + 1| + 1) - 2)/(-1(2|(-1|((3x + 3)/(-2x + 3)) + 2| - 3) + 1| + 1)) 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) = 2|(-3cos(1π(-1(-3((3x + 1)/(1x + 3)) + 3) + 2) - 2) - 2) - 2| - 3 and g(x) = 5(3|(-5(-1x - 1) + 4) - 1| + 2) - 2 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) = 2sin(1π((3(3(-1|((1x)/(3x)) + 1| - 2) - 2) + 2)/(-2(3(-1|((1x)/(3x)) + 1| - 2) - 2) - 3)) + 3) - 1 and g(x) = (-3(-1|((-1(-4x - 4) + 2)/(-2(-4x - 4) + 1)) + 2| + 3) - 3)/(1(-1|((-1(-4x - 4) + 2)/(-2(-4x - 4) + 1)) + 2| + 3) - 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) = -3((2(-2sin(2π((1(2|x - 1| + 2) - 1)/(-2(2|x - 1| + 2) - 3)) - 1) + 2) - 2)/(-1(-2sin(2π((1(2|x - 1| + 2) - 1)/(-2(2|x - 1| + 2) - 3)) - 1) + 2))) + 3 and g(x) = 1|(4(1|(1x^2 - 5x + 4) - 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) = 2(-5(1((-3(1|x| + 1) + 2)/(-3(1|x| + 1))) - 2) - 5) + 4 and g(x) = -3((-2(-4((-3x)/(-2x - 3)) + 2) + 2)/(-2(-4((-3x)/(-2x - 3)) + 2) - 1)) - 5 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) = -3(-2|(4(-3(5x^2 - 1x - 4)^2 - 2(5x^2 - 1x - 4) + 3) - 1)| + 1)^2 + 1(-2|(4(-3(5x^2 - 1x - 4)^2 - 2(5x^2 - 1x - 4) + 3) - 1)| + 1) - 5 and g(x) = 1(-3((2(-2|x + 1|) - 3)/(3(-2|x + 1|))) + 3) + 1 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) = 1((-2(-5(2(-1x) - 1)^2 - 1(2(-1x) - 1) - 1) - 3)/(-2(-5(2(-1x) - 1)^2 - 1(2(-1x) - 1) - 1) - 1))^2 - 5((-2(-5(2(-1x) - 1)^2 - 1(2(-1x) - 1) - 1) - 3)/(-2(-5(2(-1x) - 1)^2 - 1(2(-1x) - 1) - 1) - 1)) + 2 and g(x) = -3(-1|((3(-5x - 2))/(-1(-5x - 2) - 2)) - 2| + 2) + 4 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|(2|((1x + 2)/(1x)) + 2| - 1) + 2| - 2) + 4) + 3| + 1 and g(x) = -5(2|((-3(1x^2 + 5x - 1) + 1)/(2(1x^2 + 5x - 1) + 1)) + 3| + 1)^2 - 3(2|((-3(1x^2 + 5x - 1) + 1)/(2(1x^2 + 5x - 1) + 1)) + 3| + 1) - 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 rightmost x-coordinate where f(x) = 1(3|(4(-2((3x - 2)/(1x)) + 2) - 4) + 1| + 1)^2 + 5(3|(4(-2((3x - 2)/(1x)) + 2) - 4) + 1| + 1) + 5 and g(x) = 5(2sin(1π(3|(-1|x| + 3) + 1| - 3) + 3) - 1)^2 - 5(2sin(1π(3|(-1|x| + 3) + 1| - 3) + 3) - 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) = -1((3(5(-2sin(1π(-3x^2 + 4x - 3) + 3)) + 2) - 3)/(-2(5(-2sin(1π(-3x^2 + 4x - 3) + 3)) + 2) - 1)) - 4 and g(x) = 4(3((3((3x - 3)/(3x + 2)) + 3)/(-1((3x - 3)/(3x + 2)) - 1))^2 + 2((3((3x - 3)/(3x + 2)) + 3)/(-1((3x - 3)/(3x + 2)) - 1)) + 3) - 5 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(-1|(5((-3(4x - 4) + 1)/(-1(4x - 4) + 3)) + 3)| + 1) + 4 and g(x) = -3|(-5(1(-1|x + 2| - 2)^2 - 2(-1|x + 2| - 2) - 2) + 2) + 1| + 3 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) = -4(-1|(-5(-4(-1x) + 3)^2 + 2(-4(-1x) + 3) - 1) + 3| + 1)^2 + 1(-1|(-5(-4(-1x) + 3)^2 + 2(-4(-1x) + 3) - 1) + 3| + 1) + 1 and g(x) = 3|(-3|(4((2x + 1)/(3x + 3))^2 - 3((2x + 1)/(3x + 3)) - 4) - 1| + 2) + 3| - 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(2|(1(-5((-2x + 2)/(1x + 1)) - 1) + 3)| - 2)^2 - 4(2|(1(-5((-2x + 2)/(1x + 1)) - 1) + 3)| - 2) + 3 and g(x) = 5(-1(1(-5x + 2) + 4)^2 + 2(1(-5x + 2) + 4) - 3)^2 - 2(-1(1(-5x + 2) + 4)^2 + 2(1(-5x + 2) + 4) - 3) - 3 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(2|(1|(1(3|x + 1| - 1)^2 - 3(3|x + 1| - 1) + 5) - 1|) - 1|)^2 - 2(2|(1|(1(3|x + 1| - 1)^2 - 3(3|x + 1| - 1) + 5) - 1|) - 1|) + 3 and g(x) = 5(1|(4(3|x - 3| + 1)^2 - 5(3|x - 3| + 1) - 4) - 3| - 1)^2 - 4(1|(4(3|x - 3| + 1)^2 - 5(3|x - 3| + 1) - 4) - 3| - 1) - 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(3(-5((-2((1x + 3)/(2x - 1)) - 3)/(-1((1x + 3)/(2x - 1)) - 1)) + 4) + 3) - 2)/(-3(3(-5((-2((1x + 3)/(2x - 1)) - 3)/(-1((1x + 3)/(2x - 1)) - 1)) + 4) + 3) + 2) and g(x) = 5(2e^(2((-3(3x^2 + 2x - 2) + 3)/(-1(3x^2 + 2x - 2) - 1))) - 1) + 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) = (-2(1(1|(-2(1x - 1)^2 - 1(1x - 1) + 4) + 2| - 2)^2 - 5(1|(-2(1x - 1)^2 - 1(1x - 1) + 4) + 2| - 2) + 5) + 3)/(-3(1(1|(-2(1x - 1)^2 - 1(1x - 1) + 4) + 2| - 2)^2 - 5(1|(-2(1x - 1)^2 - 1(1x - 1) + 4) + 2| - 2) + 5) + 1) and g(x) = -1(-3|(1|(-1|x| + 3) - 3| + 3) + 2| + 1)^2 + 5(-3|(1|(-1|x| + 3) - 3| + 3) + 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|(5(1e^(-1(2(-1|x - 1|) + 1)) + 1) - 4) - 1| - 1 and g(x) = (1(-1(-5(4x^2 - 4x - 2) + 1) - 5) + 3)/(3(-1(-5(4x^2 - 4x - 2) + 1) - 5) + 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) = 5(2(-1((-1((2x)/(2x - 1)) - 2)/(2((2x)/(2x - 1)) - 1))^2 - 5((-1((2x)/(2x - 1)) - 2)/(2((2x)/(2x - 1)) - 1)) - 2)^2 + 4(-1((-1((2x)/(2x - 1)) - 2)/(2((2x)/(2x - 1)) - 1))^2 - 5((-1((2x)/(2x - 1)) - 2)/(2((2x)/(2x - 1)) - 1)) - 2) - 3)^2 + 2(2(-1((-1((2x)/(2x - 1)) - 2)/(2((2x)/(2x - 1)) - 1))^2 - 5((-1((2x)/(2x - 1)) - 2)/(2((2x)/(2x - 1)) - 1)) - 2)^2 + 4(-1((-1((2x)/(2x - 1)) - 2)/(2((2x)/(2x - 1)) - 1))^2 - 5((-1((2x)/(2x - 1)) - 2)/(2((2x)/(2x - 1)) - 1)) - 2) - 3) and g(x) = 2((1(-2(3cos(1πx - 2) + 1) - 3) - 3)/(1(-2(3cos(1πx - 2) + 1) - 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(-1|(-2|(-1|((-3x + 3)/(3x)) + 3| + 3) + 2| + 2) + 1| - 1) + 1)/(2(-1|(-2|(-1|((-3x + 3)/(3x)) + 3| + 3) + 2| + 2) + 1| - 1) - 3) and g(x) = 1|(-2|(-1|(2x^2 - 4x) - 3| + 2) + 3| + 2) + 3| - 1 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) = -4(2((1(1|(-2e^(2x) + 3) + 3|) - 1)/(-3(1|(-2e^(2x) + 3) + 3|) + 1))^2 - 5((1(1|(-2e^(2x) + 3) + 3|) - 1)/(-3(1|(-2e^(2x) + 3) + 3|) + 1)) - 5) + 3 and g(x) = 1(-4(1e^(2(1x^2 + 1x - 4)) - 3) + 1) + 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) = -3|(-2|(1((-3(-5x^2 - 1x - 2) - 3)/(-1(-5x^2 - 1x - 2) - 2))^2 + 3((-3(-5x^2 - 1x - 2) - 3)/(-1(-5x^2 - 1x - 2) - 2)) + 5)| + 1) - 2| + 2 and g(x) = -3(3((-3(-4x - 3) + 1)/(2(-4x - 3) - 3)) - 4) 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 first x-coordinate (rounded to the nearest integer) where f(x) = -1((-2(-1(-2(-1|x + 2| - 1)^2 - 1(-1|x + 2| - 1) - 3) - 4) + 1)/(-3(-1(-2(-1|x + 2| - 1)^2 - 1(-1|x + 2| - 1) - 3) - 4) - 2)) + 3 and g(x) = (2(2(-2|((1x - 3)/(1x)) + 3|) + 1) + 3)/(-1(2(-2|((1x - 3)/(1x)) + 3|) + 1) + 2) 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(2|((-1x - 1)/(2x + 1)) + 3| - 1) - 1)/(-2(2|((-1x - 1)/(2x + 1)) + 3| - 1) - 2)) + 1)/(-1((1(2|((-1x - 1)/(2x + 1)) + 3| - 1) - 1)/(-2(2|((-1x - 1)/(2x + 1)) + 3| - 1) - 2)) - 2)) - 2 and g(x) = -1sin(2π(1|(-3|(-1x^2 + 5x + 1) - 2| - 2) + 2| - 3) + 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]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = 3|(2|((3(3e^(-1((-1x - 2)/(-2x - 2)))) - 3)/(-3(3e^(-1((-1x - 2)/(-2x - 2)))) + 4)) - 2| + 2)| and g(x) = 4((-3(1(2x + 4)^2 + 5) - 2)/(-1(1(2x + 4)^2 + 5) - 1))^2 - 4((-3(1(2x + 4)^2 + 5) - 2)/(-1(1(2x + 4)^2 + 5) - 1)) 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) = 2|((-3((-2((-3(-2x) + 3)/(1(-2x))) + 2)/(-3((-3(-2x) + 3)/(1(-2x))) - 2)) - 3)/(-1((-2((-3(-2x) + 3)/(1(-2x))) + 2)/(-3((-3(-2x) + 3)/(1(-2x))) - 2)) - 3)) - 3| - 3 and g(x) = -1|(1e^(-1((-2(-5x^2 + 4x - 5) - 1)/(-1(-5x^2 + 4x - 5) + 3)))) - 1| + 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) = 1(5(-1((-2(1e^(-1x) - 1) - 3)/(3(1e^(-1x) - 1) + 2))^2 - 5((-2(1e^(-1x) - 1) - 3)/(3(1e^(-1x) - 1) + 2)) + 1) - 2) + 1 and g(x) = -1cos(2π((-3((-2((3x + 2)/(-2x - 2)) - 2)/(3((3x + 2)/(-2x - 2)))) - 1)/(-1((-2((3x + 2)/(-2x - 2)) - 2)/(3((3x + 2)/(-2x - 2)))) + 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) = (3(1(-1|((-3(-3x^2 - 3x + 2) + 3)/(2(-3x^2 - 3x + 2) - 3))|) + 5) - 1)/(2(1(-1|((-3(-3x^2 - 3x + 2) + 3)/(2(-3x^2 - 3x + 2) - 3))|) + 5) - 3) and g(x) = -4(-3e^(-1(1(5x - 2)^2 + 2(5x - 2) - 2)) - 2)^2 + 1(-3e^(-1(1(5x - 2)^2 + 2(5x - 2) - 2)) - 2) + 5 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) = -1e^(-1((-2((-3(3((2x - 1)/(2x - 3))^2 + 1((2x - 1)/(2x - 3)) - 1) - 2)/(3(3((2x - 1)/(2x - 3))^2 + 1((2x - 1)/(2x - 3)) - 1) + 3)) - 3)/(1((-3(3((2x - 1)/(2x - 3))^2 + 1((2x - 1)/(2x - 3)) - 1) - 2)/(3(3((2x - 1)/(2x - 3))^2 + 1((2x - 1)/(2x - 3)) - 1) + 3))))) + 3 and g(x) = -1(-3|((2((2x + 3)/(3x - 1)))/(-3((2x + 3)/(3x - 1)) - 3)) - 2| + 1)^2 - 1(-3|((2((2x + 3)/(3x - 1)))/(-3((2x + 3)/(3x - 1)) - 3)) - 2| + 1) - 5 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 leftmost x-coordinate where f(x) = 3|(-3(-1|((-3(-2|x + 3| + 3) - 2)/(-2(-2|x + 3| + 3) + 3)) - 2| + 3)) - 1| + 2 and g(x) = 5(-4((-3(1e^(2x) + 1) - 3)/(1(1e^(2x) + 1))) + 3)^2 - 1(-4((-3(1e^(2x) + 1) - 3)/(1(1e^(2x) + 1))) + 3) + 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) = 3((-3(2(-5((3x + 3)/(-3x + 2)) + 4)^2 - 4(-5((3x + 3)/(-3x + 2)) + 4) + 3) - 3)/(-2(2(-5((3x + 3)/(-3x + 2)) + 4)^2 - 4(-5((3x + 3)/(-3x + 2)) + 4) + 3) - 1))^2 - 5((-3(2(-5((3x + 3)/(-3x + 2)) + 4)^2 - 4(-5((3x + 3)/(-3x + 2)) + 4) + 3) - 3)/(-2(2(-5((3x + 3)/(-3x + 2)) + 4)^2 - 4(-5((3x + 3)/(-3x + 2)) + 4) + 3) - 1)) + 4 and g(x) = 3|(2|(4(-1x + 5)^2 + 2(-1x + 5) + 3) - 2| + 1) - 2| 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|(-5(-3sin(1π(-1x^2 + 1x + 1) - 1) + 1) - 2)| + 1) + 2| - 2 and g(x) = 2cos(2π(1((1(-4x^2 + 1x + 2) - 3)/(3(-4x^2 + 1x + 2)))^2 + 1((1(-4x^2 + 1x + 2) - 3)/(3(-4x^2 + 1x + 2))) - 1) - 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) = (-2((1((-2(-2(-3x - 2)) + 3)/(3(-2(-3x - 2)) + 3)) + 2)/(3((-2(-2(-3x - 2)) + 3)/(3(-2(-3x - 2)) + 3)) - 2)) - 2)/(2((1((-2(-2(-3x - 2)) + 3)/(3(-2(-3x - 2)) + 3)) + 2)/(3((-2(-2(-3x - 2)) + 3)/(3(-2(-3x - 2)) + 3)) - 2)) - 1) and g(x) = 3(1(3|(-1x^2 + 3x + 4)| + 2))^2 - 3(1(3|(-1x^2 + 3x + 4)| + 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(3|((1(1(-3x - 4) + 2) - 1)/(1(1(-3x - 4) + 2) - 3)) + 3| - 3))/(-3(3|((1(1(-3x - 4) + 2) - 1)/(1(1(-3x - 4) + 2) - 3)) + 3| - 3) + 4) and g(x) = (1(4(-2sin(3π(5x^2 - 1x + 5) - 3))^2 + 1(-2sin(3π(5x^2 - 1x + 5) - 3)) + 2) - 1)/(-1(4(-2sin(3π(5x^2 - 1x + 5) - 3))^2 + 1(-2sin(3π(5x^2 - 1x + 5) - 3)) + 2) + 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(-1((2((-1(1cos(2πx - 2)) + 2)/(-1(1cos(2πx - 2)) - 3)) - 2)/(1((-1(1cos(2πx - 2)) + 2)/(-1(1cos(2πx - 2)) - 3)) - 2)) + 5)^2 + 1(-1((2((-1(1cos(2πx - 2)) + 2)/(-1(1cos(2πx - 2)) - 3)) - 2)/(1((-1(1cos(2πx - 2)) + 2)/(-1(1cos(2πx - 2)) - 3)) - 2)) + 5) + 3 and g(x) = -1(-3|(3(1x) + 5) + 2|)^2 + 5(-3|(3(1x) + 5) + 2|) + 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) = -1|((2(-2(-1e^(1(-4x + 4)) - 2) - 5) - 3)/(1(-2(-1e^(1(-4x + 4)) - 2) - 5) - 3)) + 1| + 3 and g(x) = (-3((2((-3((1x + 2)/(-1x - 3)) + 3)/(2((1x + 2)/(-1x - 3)) + 2)) - 1)/(-1((-3((1x + 2)/(-1x - 3)) + 3)/(2((1x + 2)/(-1x - 3)) + 2)) - 3)) + 1)/(-3((2((-3((1x + 2)/(-1x - 3)) + 3)/(2((1x + 2)/(-1x - 3)) + 2)) - 1)/(-1((-3((1x + 2)/(-1x - 3)) + 3)/(2((1x + 2)/(-1x - 3)) + 2)) - 3)) - 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) = -2(4(-2|(-4(-1|x + 3| + 3)^2 - 1(-1|x + 3| + 3) - 1) + 1|)^2 - 1(-2|(-4(-1|x + 3| + 3)^2 - 1(-1|x + 3| + 3) - 1) + 1|) + 1)^2 - 4(4(-2|(-4(-1|x + 3| + 3)^2 - 1(-1|x + 3| + 3) - 1) + 1|)^2 - 1(-2|(-4(-1|x + 3| + 3)^2 - 1(-1|x + 3| + 3) - 1) + 1|) + 1) + 4 and g(x) = 1(1(3(-3e^(1x) - 1)^2 + 1(-3e^(1x) - 1) - 1) - 3)^2 + 2(1(3(-3e^(1x) - 1)^2 + 1(-3e^(1x) - 1) - 1) - 3) - 2 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) = -2(2(-1|(3sin(1π(4x + 2) + 3) + 2) + 1| - 3) - 2) + 2 and g(x) = 1(-1|((2((-1x)/(2x - 1)) + 1)/(3((-1x)/(2x - 1)) + 2)) + 1| - 1)^2 + 3(-1|((2((-1x)/(2x - 1)) + 1)/(3((-1x)/(2x - 1)) + 2)) + 1| - 1) - 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) = 5(1|(1|(-3|((2x + 3)/(-2x + 3)) - 2|) + 2| - 3) + 1| - 2)^2 - 5(1|(1|(-3|((2x + 3)/(-2x + 3)) - 2|) + 2| - 3) + 1| - 2) - 3 and g(x) = -3(4(-3(-5x - 1) - 5)^2 + 4(-3(-5x - 1) - 5) - 2) + 4 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) = -3(3((-1((-1(-2e^(2x) - 3) - 2)/(-3(-2e^(2x) - 3) + 1)) + 1)/(3((-1(-2e^(2x) - 3) - 2)/(-3(-2e^(2x) - 3) + 1)) + 2)))^2 - 2(3((-1((-1(-2e^(2x) - 3) - 2)/(-3(-2e^(2x) - 3) + 1)) + 1)/(3((-1(-2e^(2x) - 3) - 2)/(-3(-2e^(2x) - 3) + 1)) + 2))) - 2 and g(x) = -1(1|(4(1x + 1)^2 - 3(1x + 1) + 3) - 1| - 1) - 2 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) = 2(4((-1(4((1x - 1)/(-3x - 1))^2 + 5((1x - 1)/(-3x - 1)) - 3) + 1)/(3(4((1x - 1)/(-3x - 1))^2 + 5((1x - 1)/(-3x - 1)) - 3))) - 4)^2 - 5(4((-1(4((1x - 1)/(-3x - 1))^2 + 5((1x - 1)/(-3x - 1)) - 3) + 1)/(3(4((1x - 1)/(-3x - 1))^2 + 5((1x - 1)/(-3x - 1)) - 3))) - 4) + 4 and g(x) = 2sin(1π((3(-2(3|x|) + 3) - 2)/(2(-2(3|x|) + 3) + 3)) - 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 x-coordinate where the graphs of f(x) = -5(3((2(2e^(1(-2|x| + 1)) + 1) - 2)/(-1(2e^(1(-2|x| + 1)) + 1))))^2 - 4(3((2(2e^(1(-2|x| + 1)) + 1) - 2)/(-1(2e^(1(-2|x| + 1)) + 1)))) + 2 and g(x) = 2e^(-1((-2(1(1x + 1)^2 + 3(1x + 1) - 4) + 1)/(2(1(1x + 1)^2 + 3(1x + 1) - 4)))) + 1 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) = -3|(-3cos(2π(1|(1(-1x^2 - 1x + 4)^2 + 3(-1x^2 - 1x + 4) - 4) - 1| + 2) + 2) - 1) + 2| + 1 and g(x) = -3(-1((2(-5x - 3) + 3)/(-1(-5x - 3) + 3))^2 - 3)^2 - 4(-1((2(-5x - 3) + 3)/(-1(-5x - 3) + 3))^2 - 3) + 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(1(-1(-2|(-1x^2 - 2x) + 1|)^2 + 5)^2 + 2(-1(-2|(-1x^2 - 2x) + 1|)^2 + 5) - 1) - 1)/(-3(1(-1(-2|(-1x^2 - 2x) + 1|)^2 + 5)^2 + 2(-1(-2|(-1x^2 - 2x) + 1|)^2 + 5) - 1) + 4) and g(x) = -1(-1|(-5((1x - 2)/(3x - 1))^2 - 5((1x - 2)/(3x - 1)) - 3)| - 3)^2 - 3(-1|(-5((1x - 2)/(3x - 1))^2 - 5((1x - 2)/(3x - 1)) - 3)| - 3) + 5 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) = 1(-2(2(-1(2x)^2 - 1(2x) + 5) + 1) + 4) - 2 and g(x) = 1(-2e^(-2((-1(-1|x + 1| + 1))/(2(-1|x + 1| + 1) + 1))))^2 + 1(-2e^(-2((-1(-1|x + 1| + 1))/(2(-1|x + 1| + 1) + 1)))) + 5 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) = (-2(2|((1(3(-3x - 1) - 3) - 1)/(-2(3(-3x - 1) - 3) + 1)) + 1| - 3) + 2)/(3(2|((1(3(-3x - 1) - 3) - 1)/(-2(3(-3x - 1) - 3) + 1)) + 1| - 3) + 1) and g(x) = 2((2(-2(-5x + 5) + 5) - 1)/(-2(-2(-5x + 5) + 5) - 3)) - 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 leftmost x-coordinate where f(x) = 2cos(1π(3|((-2((-1(-2|x + 2| + 2) + 3)/(-3(-2|x + 2| + 2) - 1)) + 1)/(2((-1(-2|x + 2| + 2) + 3)/(-3(-2|x + 2| + 2) - 1)) - 1)) + 1|) - 3) + 1 and g(x) = 3(1(-4((-3x - 1)/(2x + 3))^2 - 5((-3x - 1)/(2x + 3)) + 3)^2 + 5(-4((-3x - 1)/(2x + 3))^2 - 5((-3x - 1)/(2x + 3)) + 3) - 4) + 4 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) = 2|(-2(-3e^(1((-1(-1x^2 + 1x) - 3)/(-1(-1x^2 + 1x) + 2))) + 3) + 3) + 2| and g(x) = (-2(-3|(2|(-1|x - 2| + 1)| + 1) - 2| - 3) + 3)/(-3(-3|(2|(-1|x - 2| + 1)| + 1) - 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) = (2(-3|(1(1|(2x - 3)| + 1) - 3)| + 3))/(-2(-3|(1(1|(2x - 3)| + 1) - 3)| + 3) - 3) and g(x) = -3(2|(1(-2|x + 2| - 3) - 1) + 1| + 1)^2 - 3(2|(1(-2|x + 2| - 3) - 1) + 1| + 1) + 1 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) = 2(5(-4((-3(-1x + 5) + 2)/(3(-1x + 5) + 3))^2 - 1((-3(-1x + 5) + 2)/(3(-1x + 5) + 3)) - 2)^2 + 1(-4((-3(-1x + 5) + 2)/(3(-1x + 5) + 3))^2 - 1((-3(-1x + 5) + 2)/(3(-1x + 5) + 3)) - 2) - 5)^2 - 2(5(-4((-3(-1x + 5) + 2)/(3(-1x + 5) + 3))^2 - 1((-3(-1x + 5) + 2)/(3(-1x + 5) + 3)) - 2)^2 + 1(-4((-3(-1x + 5) + 2)/(3(-1x + 5) + 3))^2 - 1((-3(-1x + 5) + 2)/(3(-1x + 5) + 3)) - 2) - 5) - 2 and g(x) = (1(1|(-3sin(2π((2x + 3)/(-2x)) + 3) - 3) + 1| - 3) + 3)/(3(1|(-3sin(2π((2x + 3)/(-2x)) + 3) - 3) + 1| - 3) - 2) 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) = (-1((3(-4(-2|(-2|x + 2| + 1) + 2| - 1)^2 - 1(-2|(-2|x + 2| + 1) + 2| - 1) + 4) + 1)/(1(-4(-2|(-2|x + 2| + 1) + 2| - 1)^2 - 1(-2|(-2|x + 2| + 1) + 2| - 1) + 4))) - 2)/(-3((3(-4(-2|(-2|x + 2| + 1) + 2| - 1)^2 - 1(-2|(-2|x + 2| + 1) + 2| - 1) + 4) + 1)/(1(-4(-2|(-2|x + 2| + 1) + 2| - 1)^2 - 1(-2|(-2|x + 2| + 1) + 2| - 1) + 4))) + 4) and g(x) = 2|((1((-2(2e^(-1x) - 2) - 2)/(-1(2e^(-1x) - 2) + 2)) - 2)/(1((-2(2e^(-1x) - 2) - 2)/(-1(2e^(-1x) - 2) + 2)) + 3)) - 3| + 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((-2(2(5((-1x + 2)/(-2x + 3))^2 + 2((-1x + 2)/(-2x + 3))) - 3) - 3)/(-1(2(5((-1x + 2)/(-2x + 3))^2 + 2((-1x + 2)/(-2x + 3))) - 3))) - 5 and g(x) = 2|((-1((-1(-3x - 3) - 3)/(1(-3x - 3) + 3)) + 3)/(-3((-1(-3x - 3) - 3)/(1(-3x - 3) + 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]
What is the mean value of the x-coordinates (rounded to the nearest integer) where the functions f(x) = 3|((3((-3(-3|((2x - 1)/(-1x)) + 2| + 3) + 1)/(3(-3|((2x - 1)/(-1x)) + 2| + 3) + 1)) - 3)/(-2((-3(-3|((2x - 1)/(-1x)) + 2| + 3) + 1)/(3(-3|((2x - 1)/(-1x)) + 2| + 3) + 1)) + 3))| + 2 and g(x) = 3cos(1π(2|(-4(1x - 3)^2 - 3(1x - 3) + 3) + 3| - 3) - 1) + 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) = -5((-1(-3sin(2π((2(1x^2 + 1) - 2)/(-2(1x^2 + 1) - 2)) + 1) + 3) + 1)/(3(-3sin(2π((2(1x^2 + 1) - 2)/(-2(1x^2 + 1) - 2)) + 1) + 3) + 3))^2 - 5((-1(-3sin(2π((2(1x^2 + 1) - 2)/(-2(1x^2 + 1) - 2)) + 1) + 3) + 1)/(3(-3sin(2π((2(1x^2 + 1) - 2)/(-2(1x^2 + 1) - 2)) + 1) + 3) + 3)) - 1 and g(x) = -2(-3((-3((-2x + 2)/(-3x - 2)) - 1)/(-1((-2x + 2)/(-3x - 2)) + 3)) + 4)^2 + 1(-3((-3((-2x + 2)/(-3x - 2)) - 1)/(-1((-2x + 2)/(-3x - 2)) + 3)) + 4) + 4 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|(-4(-4(5x + 2)^2 + 2(5x + 2) + 3)^2 - 2(-4(5x + 2)^2 + 2(5x + 2) + 3) + 3) - 2| - 2) + 1 and g(x) = 3(2((-2(-2|x + 1| + 2) + 3)/(2(-2|x + 1| + 2) + 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 second x-coordinate (rounded to the nearest integer) where f(x) = -1cos(3π(-1(-2(2|(3x^2 + 1x + 1) + 2| - 2) - 2)) + 1) and g(x) = 3|((-1(2(-4x^2 + 4x + 4) - 3) + 1)/(2(2(-4x^2 + 4x + 4) - 3) - 3)) - 1| - 1 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) = -2(3|((-3((2((3x + 3)/(-3x - 2)) - 1)/(-3((3x + 3)/(-3x - 2)) + 4)) + 3)/(-1((2((3x + 3)/(-3x - 2)) - 1)/(-3((3x + 3)/(-3x - 2)) + 4)) + 3)) - 2|) - 3 and g(x) = -2|((-2((1(-4x - 5) + 3)/(-3(-4x - 5) - 1)) - 1)/(2((1(-4x - 5) + 3)/(-3(-4x - 5) - 1)) - 1)) - 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|(5(1(-3|x + 2| - 3) + 1)^2 - 5(1(-3|x + 2| - 3) + 1) + 2) - 2| + 3)^2 - 1 and g(x) = -1(-1|(3(-4x^2 + 4x) - 3) - 1|)^2 + 4(-1|(3(-4x^2 + 4x) - 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 leftmost x-coordinate where f(x) = 5(-2sin(3π((-1((1(-2x - 3))/(-1(-2x - 3) - 3)))/(-1((1(-2x - 3))/(-1(-2x - 3) - 3)) + 2))) - 1) - 4 and g(x) = 2(3|((-2(3x^2 - 5x + 2) + 1)/(2(3x^2 - 5x + 2))) - 1| - 1)^2 + 2(3|((-2(3x^2 - 5x + 2) + 1)/(2(3x^2 - 5x + 2))) - 1| - 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 second x-coordinate (rounded to the nearest integer) where f(x) = 1((-1(-4(-2(1|x - 2| + 1)^2 - 1(1|x - 2| + 1) - 2)^2 + 4(-2(1|x - 2| + 1)^2 - 1(1|x - 2| + 1) - 2) + 2) + 2)/(1(-4(-2(1|x - 2| + 1)^2 - 1(1|x - 2| + 1) - 2)^2 + 4(-2(1|x - 2| + 1)^2 - 1(1|x - 2| + 1) - 2) + 2)))^2 + 3((-1(-4(-2(1|x - 2| + 1)^2 - 1(1|x - 2| + 1) - 2)^2 + 4(-2(1|x - 2| + 1)^2 - 1(1|x - 2| + 1) - 2) + 2) + 2)/(1(-4(-2(1|x - 2| + 1)^2 - 1(1|x - 2| + 1) - 2)^2 + 4(-2(1|x - 2| + 1)^2 - 1(1|x - 2| + 1) - 2) + 2))) - 1 and g(x) = (-2(3|((2((-3x + 2)/(3x - 1)) + 1)/(1((-3x + 2)/(3x - 1)))) + 1| - 1) + 2)/(-2(3|((2((-3x + 2)/(3x - 1)) + 1)/(1((-3x + 2)/(3x - 1)))) + 1| - 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 leftmost x-coordinate where f(x) = 2(-5(1|(4((3x)/(3x - 2)) - 3) + 1| + 3)^2 - 2(1|(4((3x)/(3x - 2)) - 3) + 1| + 3)) - 2 and g(x) = -4(3((-3(-3x + 3))/(-1(-3x + 3) - 3))^2 + 1((-3(-3x + 3))/(-1(-3x + 3) - 3)) - 2) - 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 second x-coordinate (rounded to the nearest integer) where f(x) = -2|(2(1(-3|((-2x + 2)/(3x + 2)) - 1|) + 5)^2 + 4(1(-3|((-2x + 2)/(3x + 2)) - 1|) + 5) - 2) - 2| - 3 and g(x) = 4((2(5(1x^2 - 3x + 1)) - 1)/(1(5(1x^2 - 3x + 1)) + 2)) + 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) = (3((2(-1(-2((-2x + 3)/(-1x + 2)) + 2) + 1) - 3)/(-1(-1(-2((-2x + 3)/(-1x + 2)) + 2) + 1))) + 2)/(-1((2(-1(-2((-2x + 3)/(-1x + 2)) + 2) + 1) - 3)/(-1(-1(-2((-2x + 3)/(-1x + 2)) + 2) + 1)))) and g(x) = 2(1|(2|(-4x) + 1| + 3) - 1| + 3)^2 + 1(1|(2|(-4x) + 1| + 3) - 1| + 3) - 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 leftmost x-coordinate where f(x) = -1(-1(-1((-2(2e^(-1x)) - 1)/(-2(2e^(-1x)) + 3)) + 1)^2 + 5(-1((-2(2e^(-1x)) - 1)/(-2(2e^(-1x)) + 3)) + 1) + 4)^2 + 5(-1(-1((-2(2e^(-1x)) - 1)/(-2(2e^(-1x)) + 3)) + 1)^2 + 5(-1((-2(2e^(-1x)) - 1)/(-2(2e^(-1x)) + 3)) + 1) + 4) + 1 and g(x) = -3(1(2((-3x - 2)/(-3x + 4)) - 1)^2 - 2(2((-3x - 2)/(-3x + 4)) - 1) + 3) + 4 intersect in the interval [-10, 10]?

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