[User]
Round to the nearest integer: what is the rightmost x-coordinate where f(x) = (3(-5(-2|((1(-3x + 2) + 2)/(2(-3x + 2) + 1)) - 2| - 1)^2 - 2(-2|((1(-3x + 2) + 2)/(2(-3x + 2) + 1)) - 2| - 1) - 5) - 1)/(1(-5(-2|((1(-3x + 2) + 2)/(2(-3x + 2) + 1)) - 2| - 1)^2 - 2(-2|((1(-3x + 2) + 2)/(2(-3x + 2) + 1)) - 2| - 1) - 5) - 3) and g(x) = 1|(-1e^(2(-2((2x - 2)/(-1x - 2))^2 + 3((2x - 2)/(-1x - 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) = -5((2(4(5(5x - 3) + 1)^2 - 4(5(5x - 3) + 1) + 1) + 1)/(-1(4(5(5x - 3) + 1)^2 - 4(5(5x - 3) + 1) + 1) + 2)) + 5 and g(x) = 3|(-1(2(-3e^(1x) - 2) - 5) + 3) + 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) = -2|(1(-5(3((-3x + 3)/(-2x + 3))^2 + 2((-3x + 3)/(-2x + 3)) + 1)^2 - 2(3((-3x + 3)/(-2x + 3))^2 + 2((-3x + 3)/(-2x + 3)) + 1) + 3) + 5) + 2| - 1 and g(x) = 3(-3(3|(-3cos(1πx + 2) + 1) + 2| + 2) - 1) - 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|(-2((-1(1cos(3πx)) + 3)/(-2(1cos(3πx)) + 3)) + 4) - 3| + 3) - 5 and g(x) = (-3(-4((1((-1x)/(-3x - 2)) + 1)/(-1((-1x)/(-3x - 2)) + 3)) + 2) + 1)/(-2(-4((1((-1x)/(-3x - 2)) + 1)/(-1((-1x)/(-3x - 2)) + 3)) + 2) + 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) = -3|(-1((-3(1((2x - 1)/(1x - 2)) + 2) - 2)/(1(1((2x - 1)/(1x - 2)) + 2) + 1)) - 1) - 3| + 2 and g(x) = (-2(-1((3((1x + 2)/(1x + 3)) - 2)/(1((1x + 2)/(1x + 3)) + 3)) + 5) + 1)/(-1(-1((3((1x + 2)/(1x + 3)) - 2)/(1((1x + 2)/(1x + 3)) + 3)) + 5) + 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) = -2cos(1π(3(-2(-2(-5x)^2 - 3(-5x) + 4) - 4)^2 - 2(-2(-2(-5x)^2 - 3(-5x) + 4) - 4) + 4) - 1) + 3 and g(x) = -3e^(-1(-5(-3((-2x + 1)/(-1x + 3))^2 - 4((-2x + 1)/(-1x + 3)) + 5) - 3)) + 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) = (2(-4((1((2(2x + 2) - 1)/(3(2x + 2) - 1)) - 3)/(-1((2(2x + 2) - 1)/(3(2x + 2) - 1)) + 2)) - 1) - 3)/(-3(-4((1((2(2x + 2) - 1)/(3(2x + 2) - 1)) - 3)/(-1((2(2x + 2) - 1)/(3(2x + 2) - 1)) + 2)) - 1) - 1) and g(x) = (3(-5((2(4x^2 + 4x + 3) + 1)/(1(4x^2 + 4x + 3) + 3)) + 2) + 1)/(2(-5((2(4x^2 + 4x + 3) + 1)/(1(4x^2 + 4x + 3) + 3)) + 2) - 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) = -1(-4(-2(-4(-1|x + 2|)^2 - 1(-1|x + 2|) + 2) - 3) - 5) + 1 and g(x) = (-1(3(-3((1x + 2)/(-1x - 2)) + 2)^2 + 2(-3((1x + 2)/(-1x - 2)) + 2) + 2))/(-3(3(-3((1x + 2)/(-1x - 2)) + 2)^2 + 2(-3((1x + 2)/(-1x - 2)) + 2) + 2) - 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(4(5(1|(2|x + 3|) + 1| + 3) - 5) + 2) + 5 and g(x) = -2e^(-2(-3(5(-3x + 3)^2 + 4(-3x + 3) + 1) + 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 rightmost x-coordinate where f(x) = -1|((-1(-5((-2(5x - 4) - 2)/(1(5x - 4) - 2)) - 1))/(3(-5((-2(5x - 4) - 2)/(1(5x - 4) - 2)) - 1) - 1)) + 1| + 1 and g(x) = -1|((1(-3cos(2π(-5x + 5) - 1) - 2) + 2)/(-3(-3cos(2π(-5x + 5) - 1) - 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) = -5(3|(1e^(1(2|((3x - 3)/(-1x + 2)) - 1| - 3)) + 2) + 1| + 2)^2 + 1(3|(1e^(1(2|((3x - 3)/(-1x + 2)) - 1| - 3)) + 2) + 1| + 2) - 1 and g(x) = -3|(-3|(2e^(-2(-3|x| - 1)) + 1) + 3|) + 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) = 3((-1((-1(1(1e^(1x) - 3) + 3) + 2)/(2(1(1e^(1x) - 3) + 3) - 1)))/(-2((-1(1(1e^(1x) - 3) + 3) + 2)/(2(1(1e^(1x) - 3) + 3) - 1)) + 3))^2 + 2((-1((-1(1(1e^(1x) - 3) + 3) + 2)/(2(1(1e^(1x) - 3) + 3) - 1)))/(-2((-1(1(1e^(1x) - 3) + 3) + 2)/(2(1(1e^(1x) - 3) + 3) - 1)) + 3)) - 2 and g(x) = -1(-2|(1cos(3π(3x^2 + 1x + 1) - 2)) + 1| - 2) + 2 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) = 4(-1(-2((-1(-1x))/(-3(-1x) + 1))^2 - 3((-1(-1x))/(-3(-1x) + 1)) - 5)^2 + 3(-2((-1(-1x))/(-3(-1x) + 1))^2 - 3((-1(-1x))/(-3(-1x) + 1)) - 5) + 4) + 1 and g(x) = -1|((1(3|(-2|x| + 1) + 2|) + 2)/(2(3|(-2|x| + 1) + 2|) - 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) = -2e^(-1(-1(1((2((2x - 3)/(2x - 3)) - 2)/(-3((2x - 3)/(2x - 3)))) + 5)^2 + 3(1((2((2x - 3)/(2x - 3)) - 2)/(-3((2x - 3)/(2x - 3)))) + 5) - 5)) + 3 and g(x) = -5(-5(1|(5x - 1) - 1| + 2)^2 - 3(1|(5x - 1) - 1| + 2))^2 - 2(-5(1|(5x - 1) - 1| + 2)^2 - 3(1|(5x - 1) - 1| + 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) = -1|(-4((2(5((-3x - 1)/(-2x)) - 3))/(-1(5((-3x - 1)/(-2x)) - 3) - 1))^2 - 4((2(5((-3x - 1)/(-2x)) - 3))/(-1(5((-3x - 1)/(-2x)) - 3) - 1)) - 5)| - 1 and g(x) = -5(1(1|(-2|x|) - 1| + 1) - 4)^2 - 4(1(1|(-2|x|) - 1| + 1) - 4) 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) = (-1(1((1(3(3|x + 3| + 2) - 2) + 1)/(-2(3(3|x + 3| + 2) - 2) + 3))^2 - 3((1(3(3|x + 3| + 2) - 2) + 1)/(-2(3(3|x + 3| + 2) - 2) + 3)) - 3) - 1)/(-1(1((1(3(3|x + 3| + 2) - 2) + 1)/(-2(3(3|x + 3| + 2) - 2) + 3))^2 - 3((1(3(3|x + 3| + 2) - 2) + 1)/(-2(3(3|x + 3| + 2) - 2) + 3)) - 3)) and g(x) = 4(5(1(1sin(2πx + 3) - 3) - 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) = 4(1sin(1π((3(1(4x + 1)^2 + 1) + 3)/(3(1(4x + 1)^2 + 1) + 2)) - 1) - 1)^2 - 2(1sin(1π((3(1(4x + 1)^2 + 1) + 3)/(3(1(4x + 1)^2 + 1) + 2)) - 1) - 1) + 2 and g(x) = (1(3|(2(-1x + 5) + 4) + 2| - 1) + 3)/(3(3|(2(-1x + 5) + 4) + 2| - 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) = 5(2|((3(3e^(-1(2x^2 - 2x + 2)) + 3) + 3)/(3(3e^(-1(2x^2 - 2x + 2)) + 3)))| - 2)^2 - 1(2|((3(3e^(-1(2x^2 - 2x + 2)) + 3) + 3)/(3(3e^(-1(2x^2 - 2x + 2)) + 3)))| - 2) - 2 and g(x) = (1(2(2(1x - 4) + 4)^2 + 4(2(1x - 4) + 4) + 1) + 1)/(3(2(2(1x - 4) + 4)^2 + 4(2(1x - 4) + 4) + 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(3(2e^(-2(2(2|x|) - 4)))^2 - 1(2e^(-2(2(2|x|) - 4))))^2 + 2(3(2e^(-2(2(2|x|) - 4)))^2 - 1(2e^(-2(2(2|x|) - 4)))) and g(x) = 3e^(-1((1((-1(2|x - 2| + 2) + 3)/(-3(2|x - 2| + 2) + 4)))/(-2((-1(2|x - 2| + 2) + 3)/(-3(2|x - 2| + 2) + 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]
At what integer value (rounded) do the functions f(x) = 2((1(3sin(3π((3(-2x + 5) + 1)/(-2(-2x + 5) + 3)) + 3) - 3))/(1(3sin(3π((3(-2x + 5) + 1)/(-2(-2x + 5) + 3)) + 3) - 3) + 3)) and g(x) = 3|(-5(4(-5x) - 2)^2 - 1(4(-5x) - 2) - 5)| + 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) = -5(-3(-1(3|(-2|x - 2| + 1) + 2|) - 1) - 3) + 4 and g(x) = -1(-3|(5(4x - 2) + 4)| - 2)^2 - 2(-3|(5(4x - 2) + 4)| - 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) = 4(3(-3(-1|((-1x - 1)/(-3x - 3)) + 2|) - 4)^2 - 4(-3(-1|((-1x - 1)/(-3x - 3)) + 2|) - 4)) + 4 and g(x) = 3((-2((-3(1|x| - 2) - 3)/(-1(1|x| - 2) - 2)))/(2((-3(1|x| - 2) - 3)/(-1(1|x| - 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 integer value closest to the x-coordinate where f(x) = 3(-2(-4(1(3sin(2πx - 1) + 2)^2 + 4(3sin(2πx - 1) + 2) + 5)^2 - 2(1(3sin(2πx - 1) + 2)^2 + 4(3sin(2πx - 1) + 2) + 5) + 2)^2 + 1(-4(1(3sin(2πx - 1) + 2)^2 + 4(3sin(2πx - 1) + 2) + 5)^2 - 2(1(3sin(2πx - 1) + 2)^2 + 4(3sin(2πx - 1) + 2) + 5) + 2) + 2) and g(x) = -2|(1e^(-2(-3(3x + 1) + 3)) - 2) - 3| - 2 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|((-3(-3|((-2x + 2)/(1x - 2)) + 3| + 2) - 3)/(3(-3|((-2x + 2)/(1x - 2)) + 3| + 2) + 1))| - 2) + 3)/(1(2|((-3(-3|((-2x + 2)/(1x - 2)) + 3| + 2) - 3)/(3(-3|((-2x + 2)/(1x - 2)) + 3| + 2) + 1))| - 2) - 3) and g(x) = 5((3((3(-1cos(2πx - 3) - 3) - 2)/(3(-1cos(2πx - 3) - 3) - 2)) - 1)/(-1((3(-1cos(2πx - 3) - 3) - 2)/(3(-1cos(2πx - 3) - 3) - 2)) + 3)) 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 third x-coordinate (rounded to the nearest integer) where f(x) = (-1((-3(-2|(-3(3|x - 2| + 3) + 2)|) - 3)/(-1(-2|(-3(3|x - 2| + 3) + 2)|) + 2)) - 3)/(2((-3(-2|(-3(3|x - 2| + 3) + 2)|) - 3)/(-1(-2|(-3(3|x - 2| + 3) + 2)|) + 2)) + 3) and g(x) = 2|(-1|(2e^(-1(1x + 5))) - 2| + 2)| - 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) = -1|(1|((-1(-1e^(-1(-4x + 2)) - 1) - 3)/(1(-1e^(-1(-4x + 2)) - 1) - 2)) - 2|) + 3| and g(x) = 4(-5((2((1x - 3)/(-2x - 3)) - 3)/(1((1x - 3)/(-2x - 3)) + 1))^2 - 4((2((1x - 3)/(-2x - 3)) - 3)/(1((1x - 3)/(-2x - 3)) + 1)) + 4) + 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|((-2((2(3|(-3x^2 + 3x - 4) - 1| - 2) - 3)/(-1(3|(-3x^2 + 3x - 4) - 1| - 2) - 2)) + 2)/(-1((2(3|(-3x^2 + 3x - 4) - 1| - 2) - 3)/(-1(3|(-3x^2 + 3x - 4) - 1| - 2) - 2)) - 1)) + 1| - 2 and g(x) = -1|((2(-2((-1x + 2)/(1x + 1)) - 5) - 1)/(-2(-2((-1x + 2)/(1x + 1)) - 5))) - 1| + 2 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) = -2(-1(5((2((3x + 3)/(1x)) + 1)/(-3((3x + 3)/(1x)) - 1)) - 4) - 4) + 4 and g(x) = 1|((-3(-1((2x + 2)/(-2x - 3)) + 4) - 2)/(-1(-1((2x + 2)/(-2x - 3)) + 4))) - 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) = 4(1(-1|(-1|(-1x^2 + 3x - 1) - 1|) - 3| + 3) + 2) - 5 and g(x) = (-3(-1cos(3π((-2(1|x - 2| - 1) - 2)/(-2(1|x - 2| - 1) - 2)) + 2) + 3) + 2)/(-2(-1cos(3π((-2(1|x - 2| - 1) - 2)/(-2(1|x - 2| - 1) - 2)) + 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) = 3(2(1(-2|(-5x^2 + 3x + 1) - 1| - 1)^2 + 5(-2|(-5x^2 + 3x + 1) - 1| - 1) - 3) - 4) + 2 and g(x) = (-2(3((1(-2|x + 1| - 1) + 3)/(-1(-2|x + 1| - 1) - 2)) - 1) - 1)/(1(3((1(-2|x + 1| - 1) + 3)/(-1(-2|x + 1| - 1) - 2)) - 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) = (3(5((-2(-1(-1|x - 3|) + 2) + 1)/(-2(-1(-1|x - 3|) + 2) + 1)) - 2) - 3)/(2(5((-2(-1(-1|x - 3|) + 2) + 1)/(-2(-1(-1|x - 3|) + 2) + 1)) - 2) - 1) and g(x) = (2(-5(-2e^(1(-2|x - 3| + 2)) + 3) - 3) - 2)/(3(-5(-2e^(1(-2|x - 3| + 2)) + 3) - 3) + 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) = -1|(2|((3(3|((2x - 2)/(-3x - 2)) + 1|) + 2)/(-3(3|((2x - 2)/(-3x - 2)) + 1|))) + 1| - 1) + 1| + 1 and g(x) = (-2((1(1|(-4x^2 + 5) + 2| + 1) + 2)/(2(1|(-4x^2 + 5) + 2| + 1) + 1)) + 3)/(-1((1(1|(-4x^2 + 5) + 2| + 1) + 2)/(2(1|(-4x^2 + 5) + 2| + 1) + 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 x-coordinate where the graphs of f(x) = (3((2((2(-3(2x + 5) - 3) + 3)/(-1(-3(2x + 5) - 3))) + 1)/(1((2(-3(2x + 5) - 3) + 3)/(-1(-3(2x + 5) - 3))))) - 3)/(-3((2((2(-3(2x + 5) - 3) + 3)/(-1(-3(2x + 5) - 3))) + 1)/(1((2(-3(2x + 5) - 3) + 3)/(-1(-3(2x + 5) - 3))))) - 2) and g(x) = (3((2(-1(5x - 1) + 4))/(-1(-1(5x - 1) + 4))) + 3)/(-1((2(-1(5x - 1) + 4))/(-1(-1(5x - 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) = (1(-2|(3|((-1(2x + 2) - 3)/(3(2x + 2))) + 1| + 1) - 3| - 3) - 1)/(-2(-2|(3|((-1(2x + 2) - 3)/(3(2x + 2))) + 1| + 1) - 3| - 3)) and g(x) = -2|(-3|((3(5x + 1))/(-2(5x + 1) - 1))| + 2) - 1| + 3 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(1|(2(-4(-3x - 1) + 5) + 4) - 2| + 1) - 2 and g(x) = (-3((-2(-3|(3x^2 - 5x - 3) + 1| - 1) + 2)/(-2(-3|(3x^2 - 5x - 3) + 1| - 1) - 2)) - 2)/(-3((-2(-3|(3x^2 - 5x - 3) + 1| - 1) + 2)/(-2(-3|(3x^2 - 5x - 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) = 4(1|(1(-1e^(1(3x^2 + 4x + 2)) + 3) + 5) - 1| - 2)^2 + 3(1|(1(-1e^(1(3x^2 + 4x + 2)) + 3) + 5) - 1| - 2) - 2 and g(x) = -1((1(2|(2x^2 + 1x - 5) + 3| - 1) - 3)/(1(2|(2x^2 + 1x - 5) + 3| - 1) - 2)) - 5 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) = -3(2|((-3(-3sin(2π(-3x) + 1) + 2) + 1)/(1(-3sin(2π(-3x) + 1) + 2) - 3)) - 3| + 2) - 3 and g(x) = -4(-2((1(5x^2 + 4x - 2) + 1)/(2(5x^2 + 4x - 2) + 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 largest x-value where the functions f(x) = (2((1((-1(-3(3x^2 - 1x - 2)) - 3)/(2(-3(3x^2 - 1x - 2)))) + 2)/(1((-1(-3(3x^2 - 1x - 2)) - 3)/(2(-3(3x^2 - 1x - 2)))) + 3)) + 2)/(-2((1((-1(-3(3x^2 - 1x - 2)) - 3)/(2(-3(3x^2 - 1x - 2)))) + 2)/(1((-1(-3(3x^2 - 1x - 2)) - 3)/(2(-3(3x^2 - 1x - 2)))) + 3))) and g(x) = (2(-2|(-2|(1e^(1x) + 1) + 2| + 2) - 1| + 1) + 3)/(-2(-2|(-2|(1e^(1x) + 1) + 2| + 2) - 1| + 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 second x-coordinate (rounded to the nearest integer) where f(x) = -2(-2|(-3|(-1((-1x + 1)/(-2x + 3)) - 2) + 3| - 3) - 2| + 3) + 4 and g(x) = -1(-4((-2(-1x^2 - 5x + 5) + 2)/(-1(-1x^2 - 5x + 5) - 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 rightmost x-coordinate where f(x) = 1((-1(-5(3e^(1((3x - 2)/(-2x - 1))))^2 + 5(3e^(1((3x - 2)/(-2x - 1)))) - 3) + 2)/(1(-5(3e^(1((3x - 2)/(-2x - 1))))^2 + 5(3e^(1((3x - 2)/(-2x - 1)))) - 3)))^2 - 5((-1(-5(3e^(1((3x - 2)/(-2x - 1))))^2 + 5(3e^(1((3x - 2)/(-2x - 1)))) - 3) + 2)/(1(-5(3e^(1((3x - 2)/(-2x - 1))))^2 + 5(3e^(1((3x - 2)/(-2x - 1)))) - 3))) + 3 and g(x) = (-1((-1(1(-2|x - 1| + 2)^2 - 4(-2|x - 1| + 2) - 3) + 3)/(-3(1(-2|x - 1| + 2)^2 - 4(-2|x - 1| + 2) - 3) - 1)) + 1)/(1((-1(1(-2|x - 1| + 2)^2 - 4(-2|x - 1| + 2) - 3) + 3)/(-3(1(-2|x - 1| + 2)^2 - 4(-2|x - 1| + 2) - 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) = -1(-1(1|(-2(-4x + 2)) + 2| + 1)^2 - 3(1|(-2(-4x + 2)) + 2| + 1) - 4)^2 - 2(-1(1|(-2(-4x + 2)) + 2| + 1)^2 - 3(1|(-2(-4x + 2)) + 2| + 1) - 4) - 4 and g(x) = -4(3|(3(-2x^2 + 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 x-coordinate where the graphs of f(x) = (-2(1(-3|((-1(-1sin(1πx + 2) + 3) + 1)/(-2(-1sin(1πx + 2) + 3) - 2)) + 1| + 1) - 5) - 3)/(-2(1(-3|((-1(-1sin(1πx + 2) + 3) + 1)/(-2(-1sin(1πx + 2) + 3) - 2)) + 1| + 1) - 5) - 3) and g(x) = (3((1(5((-1x + 2)/(1x + 1)) + 2) - 1)/(-1(5((-1x + 2)/(1x + 1)) + 2) - 1)) - 2)/(2((1(5((-1x + 2)/(1x + 1)) + 2) - 1)/(-1(5((-1x + 2)/(1x + 1)) + 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 second x-coordinate (rounded to the nearest integer) where f(x) = -2e^(2((1(2((-3(-1|x - 1| + 2) + 3)/(-1(-1|x - 1| + 2) + 2)) + 1))/(-2(2((-3(-1|x - 1| + 2) + 3)/(-1(-1|x - 1| + 2) + 2)) + 1) + 1))) - 2 and g(x) = (-2(3(1(-2x^2 + 4x + 1)^2 + 4(-2x^2 + 4x + 1)) - 2) + 2)/(2(3(1(-2x^2 + 4x + 1)^2 + 4(-2x^2 + 4x + 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) = -1(-3cos(3π((3(1(3x^2 + 2x + 4)) - 1)/(-1(1(3x^2 + 2x + 4)) - 2)) + 1) + 2) + 4 and g(x) = -1(2|((-3(1|x + 2| + 1) + 2)/(-1(1|x + 2| + 1) + 3)) - 1| - 3) + 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) = 1(-2((-1(-3|(1x^2 + 1x) + 1| + 3) - 2)/(-2(-3|(1x^2 + 1x) + 1| + 3))) + 4) - 3 and g(x) = -4(-3|((-3(-2x^2 + 4x + 5))/(2(-2x^2 + 4x + 5) - 1)) + 3| - 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]
When ordered from left to right, what is the second x-coordinate (rounded to the nearest integer) where f(x) = (3((1(-1(2|(1|x - 3| + 3) - 2|) + 5) + 1)/(-2(-1(2|(1|x - 3| + 3) - 2|) + 5) - 1)) + 3)/(-2((1(-1(2|(1|x - 3| + 3) - 2|) + 5) + 1)/(-2(-1(2|(1|x - 3| + 3) - 2|) + 5) - 1)) + 3) and g(x) = (1(-1(3e^(1(-4x^2 - 1x - 3)) - 2)^2 + 2(3e^(1(-4x^2 - 1x - 3)) - 2) - 2) - 3)/(-2(-1(3e^(1(-4x^2 - 1x - 3)) - 2)^2 + 2(3e^(1(-4x^2 - 1x - 3)) - 2) - 2) - 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) = (2(4(5(3((3x - 1)/(2x + 1))^2 + 4((3x - 1)/(2x + 1)) - 2) - 4)) - 3)/(1(4(5(3((3x - 1)/(2x + 1))^2 + 4((3x - 1)/(2x + 1)) - 2) - 4)) + 2) and g(x) = (2((1((-1((-1x)/(1x - 3)) - 1)/(-2((-1x)/(1x - 3)) + 3)) + 2)/(-3((-1((-1x)/(1x - 3)) - 1)/(-2((-1x)/(1x - 3)) + 3)) + 1)) + 3)/(-2((1((-1((-1x)/(1x - 3)) - 1)/(-2((-1x)/(1x - 3)) + 3)) + 2)/(-3((-1((-1x)/(1x - 3)) - 1)/(-2((-1x)/(1x - 3)) + 3)) + 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) = (3((1(1(-2((2x + 1)/(3x - 2)) - 3) - 1))/(-3(1(-2((2x + 1)/(3x - 2)) - 3) - 1) + 4)) - 1)/(3((1(1(-2((2x + 1)/(3x - 2)) - 3) - 1))/(-3(1(-2((2x + 1)/(3x - 2)) - 3) - 1) + 4)) + 1) and g(x) = (-3((2(-3((-2x - 3)/(3x - 2))^2 - 1((-2x - 3)/(3x - 2)) - 1) + 3)/(2(-3((-2x - 3)/(3x - 2))^2 - 1((-2x - 3)/(3x - 2)) - 1))) + 2)/(2((2(-3((-2x - 3)/(3x - 2))^2 - 1((-2x - 3)/(3x - 2)) - 1) + 3)/(2(-3((-2x - 3)/(3x - 2))^2 - 1((-2x - 3)/(3x - 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((3((-2(3(1|x - 2| - 3)^2 - 2(1|x - 2| - 3) + 5) + 3)/(-3(3(1|x - 2| - 3)^2 - 2(1|x - 2| - 3) + 5) + 1)) - 2)/(1((-2(3(1|x - 2| - 3)^2 - 2(1|x - 2| - 3) + 5) + 3)/(-3(3(1|x - 2| - 3)^2 - 2(1|x - 2| - 3) + 5) + 1)))) - 1 and g(x) = 1(-1|(3((3x - 2)/(-3x - 2)) - 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(3(-5(-2(1x - 5) - 4) + 5)^2 + 4(-5(-2(1x - 5) - 4) + 5) - 5) - 4 and g(x) = 5((-2(3|(5x^2 - 5x - 4) + 3| + 1) + 1)/(-2(3|(5x^2 - 5x - 4) + 3| + 1) - 2))^2 - 5 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(-1sin(1π((1x - 2)/(-2x + 3))) - 3) - 2)/(1(-1sin(1π((1x - 2)/(-2x + 3))) - 3) + 2)) - 1| + 2) + 3| - 1 and g(x) = 3(2((2(2x + 4) - 1)/(2(2x + 4) + 3)) - 2) + 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) = -3((-1(-4(-2|(2x^2 + 3x - 1) - 3|) - 4))/(-1(-4(-2|(2x^2 + 3x - 1) - 3|) - 4) + 2)) - 5 and g(x) = -2e^(-1(5(-2|(5x - 5)| + 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(-4(-1(-1(2x + 3) + 3)^2 - 5(-1(2x + 3) + 3) + 1) + 1) + 3)/(2(-4(-1(-1(2x + 3) + 3)^2 - 5(-1(2x + 3) + 3) + 1) + 1)) and g(x) = (2((-2((-2(2sin(1πx)) - 1)/(2(2sin(1πx)))) + 1)/(2((-2(2sin(1πx)) - 1)/(2(2sin(1πx)))))) + 1)/(2((-2((-2(2sin(1πx)) - 1)/(2(2sin(1πx)))) + 1)/(2((-2(2sin(1πx)) - 1)/(2(2sin(1πx)))))) + 1) in the interval [-10, 10], rounded to the nearest integer.

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) = 3e^(2((-2(-5(1((1x)/(1x + 2))^2 - 5)^2 + 4(1((1x)/(1x + 2))^2 - 5) - 5) + 3)/(-1(-5(1((1x)/(1x + 2))^2 - 5)^2 + 4(1((1x)/(1x + 2))^2 - 5) - 5) - 1))) - 3 and g(x) = (1(-2(2|((-1x - 1)/(1x - 3)) + 2| - 2)^2 + 5(2|((-1x - 1)/(1x - 3)) + 2| - 2) - 1) - 3)/(2(-2(2|((-1x - 1)/(1x - 3)) + 2| - 2)^2 + 5(2|((-1x - 1)/(1x - 3)) + 2| - 2) - 1) - 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) = -3(-1(1(-3|((2x)/(3x - 2)) - 3| - 3)^2 - 4(-3|((2x)/(3x - 2)) - 3| - 3) + 1) + 1) - 2 and g(x) = 2e^(-1((2(1((-2x - 2)/(1x - 3)) + 4))/(3(1((-2x - 2)/(1x - 3)) + 4) + 2))) 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((-1(-1|((1(1sin(3πx - 3)) - 1)/(2(1sin(3πx - 3)) - 3)) - 1|) - 1)/(3(-1|((1(1sin(3πx - 3)) - 1)/(2(1sin(3πx - 3)) - 3)) - 1|) - 2))^2 - 1 and g(x) = -3e^(2((2((-1(5x - 2) + 1)/(1(5x - 2) + 2)) - 1)/(3((-1(5x - 2) + 1)/(1(5x - 2) + 2)) + 2))) + 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 rightmost x-coordinate where f(x) = (-2((-1((1(-3|((3x + 1)/(-2x - 3)) - 1| + 2) + 2)/(-2(-3|((3x + 1)/(-2x - 3)) - 1| + 2) - 3)) - 1)/(2((1(-3|((3x + 1)/(-2x - 3)) - 1| + 2) + 2)/(-2(-3|((3x + 1)/(-2x - 3)) - 1| + 2) - 3)) + 3)) - 3)/(2((-1((1(-3|((3x + 1)/(-2x - 3)) - 1| + 2) + 2)/(-2(-3|((3x + 1)/(-2x - 3)) - 1| + 2) - 3)) - 1)/(2((1(-3|((3x + 1)/(-2x - 3)) - 1| + 2) + 2)/(-2(-3|((3x + 1)/(-2x - 3)) - 1| + 2) - 3)) + 3)) + 1) and g(x) = 2|(1|(-3|(-3x + 4) + 3| + 2)| + 3) + 3| - 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|(-3(1((-1((-1x + 1)/(-2x + 3)) + 2)/(2((-1x + 1)/(-2x + 3)) - 1))^2 - 3((-1((-1x + 1)/(-2x + 3)) + 2)/(2((-1x + 1)/(-2x + 3)) - 1)) + 1) - 5) + 1| - 2 and g(x) = -2|(1(-1|(-4x - 5) - 3| - 1) + 5) - 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) = 2((1(4(1(2x^2 - 1x)^2 - 1(2x^2 - 1x) - 1) - 1) - 1)/(-1(4(1(2x^2 - 1x)^2 - 1(2x^2 - 1x) - 1) - 1) - 1))^2 - 3((1(4(1(2x^2 - 1x)^2 - 1(2x^2 - 1x) - 1) - 1) - 1)/(-1(4(1(2x^2 - 1x)^2 - 1(2x^2 - 1x) - 1) - 1) - 1)) + 3 and g(x) = 1(-2|(-3|(-3|x + 2| - 2)| - 1) - 2|)^2 - 4(-2|(-3|(-3|x + 2| - 2)| - 1) - 2|) + 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) = 3(3|((-2(-3|(-4x - 3) + 1| - 3) + 3)/(-1(-3|(-4x - 3) + 1| - 3) - 2)) + 2| + 2) - 1 and g(x) = 2e^(-2(-5(2|((-2x - 2)/(3x)) + 3| - 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) = 3(2|(1|(1(2x + 2)^2 - 3(2x + 2) - 3) + 2|)| - 2) + 3 and g(x) = 1((3(-1|(-3e^(-1x) + 1) + 3| + 1))/(-3(-1|(-3e^(-1x) + 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) = -4(4(3|(-2e^(-2(-4x^2 + 5x + 3)) - 1) + 2| - 2) + 2)^2 + 3(4(3|(-2e^(-2(-4x^2 + 5x + 3)) - 1) + 2| - 2) + 2) + 4 and g(x) = 1((-2(-1|(2x - 5)| - 2) + 3)/(1(-1|(2x - 5)| - 2)))^2 - 1((-2(-1|(2x - 5)| - 2) + 3)/(1(-1|(2x - 5)| - 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 rightmost x-coordinate where f(x) = -1e^(2(-5(-1|(1(5x^2 + 3x - 1)^2 + 2(5x^2 + 3x - 1) + 4) + 2| - 2)^2 - 5(-1|(1(5x^2 + 3x - 1)^2 + 2(5x^2 + 3x - 1) + 4) + 2| - 2) - 3)) and g(x) = 5(-5(1((-2x)/(-1x + 2)))^2 + 3(1((-2x)/(-1x + 2))) + 4) + 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 rightmost x-coordinate where f(x) = -1|(-3(-3|(-1(-3x - 5)^2 - 4(-3x - 5)) - 1| - 3) - 1) - 2| + 1 and g(x) = -2(-3((-2(-2x - 1) - 2)/(-1(-2x - 1) + 2))^2 + 3) - 3 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(-1((2((-2x)/(-2x - 1)) - 3)/(-1((-2x)/(-2x - 1)) - 3))^2 + 3((2((-2x)/(-2x - 1)) - 3)/(-1((-2x)/(-2x - 1)) - 3)) + 3) + 2)/(-3(-1((2((-2x)/(-2x - 1)) - 3)/(-1((-2x)/(-2x - 1)) - 3))^2 + 3((2((-2x)/(-2x - 1)) - 3)/(-1((-2x)/(-2x - 1)) - 3)) + 3) + 4)) - 2)/(-3((1(-1((2((-2x)/(-2x - 1)) - 3)/(-1((-2x)/(-2x - 1)) - 3))^2 + 3((2((-2x)/(-2x - 1)) - 3)/(-1((-2x)/(-2x - 1)) - 3)) + 3) + 2)/(-3(-1((2((-2x)/(-2x - 1)) - 3)/(-1((-2x)/(-2x - 1)) - 3))^2 + 3((2((-2x)/(-2x - 1)) - 3)/(-1((-2x)/(-2x - 1)) - 3)) + 3) + 4)) - 3) and g(x) = -2cos(3π(5((-1((-1x - 2)/(2x - 1)) - 1)/(2((-1x - 2)/(2x - 1)) + 3)) - 1) + 1) - 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) = (3(-2|(-2(2(1|x - 2| + 2) - 1) - 5)| - 3))/(1(-2|(-2(2(1|x - 2| + 2) - 1) - 5)| - 3) + 3) and g(x) = 3|((1((2(2e^(2x) - 3) - 3)/(-1(2e^(2x) - 3) + 2)) + 2)/(3((2(2e^(2x) - 3) - 3)/(-1(2e^(2x) - 3) + 2)) + 2)) + 1| 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) = 4(-3cos(3π((1(-5(2|x - 1| - 1)^2 - 4(2|x - 1| - 1) - 2) + 3)/(1(-5(2|x - 1| - 1)^2 - 4(2|x - 1| - 1) - 2))) + 1) + 3)^2 - 3(-3cos(3π((1(-5(2|x - 1| - 1)^2 - 4(2|x - 1| - 1) - 2) + 3)/(1(-5(2|x - 1| - 1)^2 - 4(2|x - 1| - 1) - 2))) + 1) + 3) - 1 and g(x) = -1|(1(-3(2e^(-1x) - 1) + 5) - 4) + 3| + 1 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) = (3(-1(1(2(5x - 2) - 1) - 5) - 2) + 2)/(3(-1(1(2(5x - 2) - 1) - 5) - 2) - 2) and g(x) = 1((-1(-3|(-1sin(3πx + 3) - 2) - 1|))/(2(-3|(-1sin(3πx + 3) - 2) - 1|)))^2 + 1((-1(-3|(-1sin(3πx + 3) - 2) - 1|))/(2(-3|(-1sin(3πx + 3) - 2) - 1|))) - 4 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(-1((-2((-2x + 3)/(1x + 2)) - 3)/(1((-2x + 3)/(1x + 2)))) - 5) + 4) + 5 and g(x) = -2|(-2sin(2π(-1|(-4x + 3) + 1| + 1) + 2) - 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 integer closest to the largest x-value where the functions f(x) = (-1(-3|(3|(-2(1e^(2x) + 1)^2 - 4(1e^(2x) + 1) + 5) + 3| - 2) + 2| - 2) + 3)/(3(-3|(3|(-2(1e^(2x) + 1)^2 - 4(1e^(2x) + 1) + 5) + 3| - 2) + 2| - 2) - 2) and g(x) = -1(3(1|(-1e^(-1x) + 2)| - 3) - 1)^2 + 1(3(1|(-1e^(-1x) + 2)| - 3) - 1) + 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) = (-3(-3(-4(1(-5x^2 + 4x + 2))^2 - 5(1(-5x^2 + 4x + 2)))^2 + 1(-4(1(-5x^2 + 4x + 2))^2 - 5(1(-5x^2 + 4x + 2)))) - 3)/(2(-3(-4(1(-5x^2 + 4x + 2))^2 - 5(1(-5x^2 + 4x + 2)))^2 + 1(-4(1(-5x^2 + 4x + 2))^2 - 5(1(-5x^2 + 4x + 2)))) - 1) and g(x) = -1(1(2e^(-1(-2|x + 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) = -3|(1|(-3|(-4(-1cos(2πx + 2) + 2) + 1)|) - 1| + 3) + 2| + 1 and g(x) = 5(1((3(4x - 5) + 2)/(-2(4x - 5) + 3)) + 2) + 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) = (-3(-3(5(-3(-2|x + 1| - 3) - 5)^2 - 5(-3(-2|x + 1| - 3) - 5) + 4)^2 + 3(5(-3(-2|x + 1| - 3) - 5)^2 - 5(-3(-2|x + 1| - 3) - 5) + 4) - 3))/(3(-3(5(-3(-2|x + 1| - 3) - 5)^2 - 5(-3(-2|x + 1| - 3) - 5) + 4)^2 + 3(5(-3(-2|x + 1| - 3) - 5)^2 - 5(-3(-2|x + 1| - 3) - 5) + 4) - 3)) and g(x) = 1(-1|(-4((2x - 2)/(-1x - 1)) + 3) - 2| - 2)^2 + 4(-1|(-4((2x - 2)/(-1x - 1)) + 3) - 2| - 2) - 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) = (3(4((-2(-2(-2x^2 - 1x - 3)^2 + 5(-2x^2 - 1x - 3) - 1) + 1)/(3(-2(-2x^2 - 1x - 3)^2 + 5(-2x^2 - 1x - 3) - 1) + 3))^2 - 1((-2(-2(-2x^2 - 1x - 3)^2 + 5(-2x^2 - 1x - 3) - 1) + 1)/(3(-2(-2x^2 - 1x - 3)^2 + 5(-2x^2 - 1x - 3) - 1) + 3)) - 3) - 2)/(2(4((-2(-2(-2x^2 - 1x - 3)^2 + 5(-2x^2 - 1x - 3) - 1) + 1)/(3(-2(-2x^2 - 1x - 3)^2 + 5(-2x^2 - 1x - 3) - 1) + 3))^2 - 1((-2(-2(-2x^2 - 1x - 3)^2 + 5(-2x^2 - 1x - 3) - 1) + 1)/(3(-2(-2x^2 - 1x - 3)^2 + 5(-2x^2 - 1x - 3) - 1) + 3)) - 3)) and g(x) = -3(-1((2(-1x + 4) - 2)/(1(-1x + 4))) + 2) - 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|(-1e^(1(-1((-3(-4x + 2) + 3)/(3(-4x + 2))) - 1)) - 3) - 3| - 1 and g(x) = -5(-4((-3(2x^2 + 2x + 5) + 3)/(-1(2x^2 + 2x + 5) + 2))^2 - 5((-3(2x^2 + 2x + 5) + 3)/(-1(2x^2 + 2x + 5) + 2)) - 2) - 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((-3(2cos(1π(3|((-2x + 2)/(3x - 1)) - 1| - 3) - 1) + 3) - 3)/(-3(2cos(1π(3|((-2x + 2)/(3x - 1)) - 1| - 3) - 1) + 3) - 1)) - 1)/(-1((-3(2cos(1π(3|((-2x + 2)/(3x - 1)) - 1| - 3) - 1) + 3) - 3)/(-3(2cos(1π(3|((-2x + 2)/(3x - 1)) - 1| - 3) - 1) + 3) - 1)) + 2) and g(x) = 1((3(-4(-2|x - 1|)^2 - 3(-2|x - 1|)) - 2)/(3(-4(-2|x - 1|)^2 - 3(-2|x - 1|)) + 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(-2e^(2(-4(-2((-3x - 3)/(1x))^2 - 4((-3x - 3)/(1x)) + 3) - 1)) + 2) + 1 and g(x) = -2|((-1(1((-1x - 2)/(3x - 2)) + 4) + 2)/(-3(1((-1x - 2)/(3x - 2)) + 4) - 3)) - 1| + 2 in the interval [-10, 10], rounded to the nearest integer.

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(1(-3|(4x^2 + 1x + 2) - 3|) + 2) - 2))/(-2(-5(1(-3|(4x^2 + 1x + 2) - 3|) + 2) - 2) + 3) and g(x) = 3|(1|(3|(-5x + 3) + 1| - 3) - 3| - 1) + 1| + 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) = -1|(4((3(5(-4x^2 + 3x + 1) - 1) + 1)/(2(5(-4x^2 + 3x + 1) - 1) + 1)) + 3) + 2| and g(x) = -1|(3(-1(-1x + 5)^2 - 4(-1x + 5) - 2) - 1) - 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) = -3(-3|(5(-2cos(1π(-2x + 5) + 3) + 1)^2 - 5(-2cos(1π(-2x + 5) + 3) + 1) - 2) - 2| - 3)^2 + 5(-3|(5(-2cos(1π(-2x + 5) + 3) + 1)^2 - 5(-2cos(1π(-2x + 5) + 3) + 1) - 2) - 2| - 3) + 3 and g(x) = (1((3(-1|(-5x - 1) + 3| + 2) + 3)/(3(-1|(-5x - 1) + 3| + 2) - 1)) + 2)/(-3((3(-1|(-5x - 1) + 3| + 2) + 3)/(3(-1|(-5x - 1) + 3| + 2) - 1)) + 1) 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) = (-3((2(1((-2(-3|x - 1| - 3) - 2)/(-1(-3|x - 1| - 3) + 2)) - 4))/(-1(1((-2(-3|x - 1| - 3) - 2)/(-1(-3|x - 1| - 3) + 2)) - 4) - 2)) - 1)/(1((2(1((-2(-3|x - 1| - 3) - 2)/(-1(-3|x - 1| - 3) + 2)) - 4))/(-1(1((-2(-3|x - 1| - 3) - 2)/(-1(-3|x - 1| - 3) + 2)) - 4) - 2)) + 3) and g(x) = 4(1|((-1((1x + 1)/(-3x - 2)) - 3)/(-1((1x + 1)/(-3x - 2)) - 2)) + 3| - 3) - 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 integer value closest to the x-coordinate where f(x) = (-2(2(2((1((-1x - 3)/(-1x + 2)) - 3)/(-1((-1x - 3)/(-1x + 2)) + 2))^2 + 4((1((-1x - 3)/(-1x + 2)) - 3)/(-1((-1x - 3)/(-1x + 2)) + 2)) - 2) + 1) + 1)/(3(2(2((1((-1x - 3)/(-1x + 2)) - 3)/(-1((-1x - 3)/(-1x + 2)) + 2))^2 + 4((1((-1x - 3)/(-1x + 2)) - 3)/(-1((-1x - 3)/(-1x + 2)) + 2)) - 2) + 1) + 3) and g(x) = -1|((2(-1e^(-1(4x^2 - 1x - 1)) - 3) + 1)/(-2(-1e^(-1(4x^2 - 1x - 1)) - 3) + 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 leftmost x-coordinate where f(x) = 3(-2|(-5(-3|(2sin(1πx - 2) + 3) - 3|)^2 - 3(-3|(2sin(1πx - 2) + 3) - 3|) - 4) - 1| + 3) + 1 and g(x) = (1((-1(2|(2|x - 1| - 2) + 1| - 3) + 3)/(-1(2|(2|x - 1| - 2) + 1| - 3) + 2)) + 1)/(-3((-1(2|(2|x - 1| - 2) + 1| - 3) + 3)/(-1(2|(2|x - 1| - 2) + 1| - 3) + 2)) + 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) = -3cos(2π(-4(3(1(-1|x + 2| + 1)^2 + 2(-1|x + 2| + 1) + 5) + 5)) - 3) + 2 and g(x) = 5(1(-3((2x + 2)/(-3x - 2)) + 4) - 2)^2 - 2(1(-3((2x + 2)/(-3x - 2)) + 4) - 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(-4((3((2(1x + 1))/(-1(1x + 1) - 1)) + 1)/(-1((2(1x + 1))/(-1(1x + 1) - 1)) + 2)) + 4) - 3 and g(x) = 1((1(-4(2x^2 - 1x + 5) + 3) - 2)/(-3(-4(2x^2 - 1x + 5) + 3) + 4))^2 + 5((1(-4(2x^2 - 1x + 5) + 3) - 2)/(-3(-4(2x^2 - 1x + 5) + 3) + 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((1(-3x^2 - 5x - 2) + 1)/(-2(-3x^2 - 5x - 2) - 3)) - 1)/(-1((1(-3x^2 - 5x - 2) + 1)/(-2(-3x^2 - 5x - 2) - 3)) - 3)) + 3) + 4 and g(x) = 3|((-1((-2(5x + 2) + 2)/(2(5x + 2) - 1)) + 2)/(-3((-2(5x + 2) + 2)/(2(5x + 2) - 1)) + 1)) + 3| + 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) = -4(-2(-2|((-2(2|x + 2| - 2) - 1)/(-1(2|x + 2| - 2) - 3)) + 2| + 3) + 1) - 2 and g(x) = (2(-1e^(1((-3(-3x))/(1(-3x) + 2))) + 2) + 2)/(-2(-1e^(1((-3(-3x))/(1(-3x) + 2))) + 2) + 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) = (2(3(3e^(-2(4(1x^2 - 5x - 3) + 5)))^2 - 4(3e^(-2(4(1x^2 - 5x - 3) + 5)))) + 2)/(-1(3(3e^(-2(4(1x^2 - 5x - 3) + 5)))^2 - 4(3e^(-2(4(1x^2 - 5x - 3) + 5))))) and g(x) = 3(-1((-3(5x^2 - 4x + 1) + 3)/(-2(5x^2 - 4x + 1) + 1))^2 - 1((-3(5x^2 - 4x + 1) + 3)/(-2(5x^2 - 4x + 1) + 1)) + 4)^2 + 3(-1((-3(5x^2 - 4x + 1) + 3)/(-2(5x^2 - 4x + 1) + 1))^2 - 1((-3(5x^2 - 4x + 1) + 3)/(-2(5x^2 - 4x + 1) + 1)) + 4) - 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) = (3((2((2((-1(-2e^(-1x) + 3) - 1)/(-3(-2e^(-1x) + 3) - 1)) + 2)/(-3((-1(-2e^(-1x) + 3) - 1)/(-3(-2e^(-1x) + 3) - 1)))))/(3((2((-1(-2e^(-1x) + 3) - 1)/(-3(-2e^(-1x) + 3) - 1)) + 2)/(-3((-1(-2e^(-1x) + 3) - 1)/(-3(-2e^(-1x) + 3) - 1)))) - 2)) - 1)/(-1((2((2((-1(-2e^(-1x) + 3) - 1)/(-3(-2e^(-1x) + 3) - 1)) + 2)/(-3((-1(-2e^(-1x) + 3) - 1)/(-3(-2e^(-1x) + 3) - 1)))))/(3((2((-1(-2e^(-1x) + 3) - 1)/(-3(-2e^(-1x) + 3) - 1)) + 2)/(-3((-1(-2e^(-1x) + 3) - 1)/(-3(-2e^(-1x) + 3) - 1)))) - 2)) - 1) and g(x) = (1(-3(4(4x - 1) - 5) - 3) - 1)/(-3(-3(4(4x - 1) - 5) - 3) - 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) = -2|((-1(-3(2|(2x + 2) + 1| - 2)^2 - 3(2|(2x + 2) + 1| - 2) + 4) + 3)/(1(-3(2|(2x + 2) + 1| - 2)^2 - 3(2|(2x + 2) + 1| - 2) + 4) + 2)) + 3| + 3 and g(x) = 3|(-1e^(-1(3((-1x - 1)/(2x + 1)) + 1)) + 1) - 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) = 3((-1(3|(-1((-1x + 1)/(1x + 2)) - 1) - 1| - 2) - 1)/(2(3|(-1((-1x + 1)/(1x + 2)) - 1) - 1| - 2) + 1)) - 1 and g(x) = 1|((-2(2(-5x^2 + 3) + 2) - 2)/(-3(2(-5x^2 + 3) + 2) + 4)) + 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) = -1|(3(-1|((-1(-1|x - 3| + 2) + 3)/(-2(-1|x - 3| + 2) + 1)) - 1| - 2) - 4) + 1| + 1 and g(x) = 2((2(1((-2x + 3)/(3x - 2)) + 2) - 2)/(-2(1((-2x + 3)/(3x - 2)) + 2) - 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) = 2|(3|((-1(-1((2x + 3)/(1x)) - 1) + 3)/(3(-1((2x + 3)/(1x)) - 1))) - 1|) + 3| + 2 and g(x) = -4((-2(-5(1x + 5) + 3) - 3)/(-2(-5(1x + 5) + 3))) - 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) = -4(-3e^(1(4(-2((1x)/(2x - 1)) - 2)^2 - 3(-2((1x)/(2x - 1)) - 2) - 3)) + 2) and g(x) = -1|(-3(-1|(3sin(2πx) + 2) - 3| - 1)^2 - 4(-1|(3sin(2πx) + 2) - 3| - 1) - 1) + 2| + 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) = -5(-2|((-2(-1(5x^2 + 3x - 4)) - 2)/(3(-1(5x^2 + 3x - 4)))) - 3|) and g(x) = -1cos(1π((1((1(5x^2 + 5x) + 1)/(1(5x^2 + 5x) + 2)) + 1)/(-1((1(5x^2 + 5x) + 1)/(1(5x^2 + 5x) + 2)) - 1))) + 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) = (-2(-3((1(-3cos(2π(1x^2 - 1x - 3)) + 2) + 3)/(-2(-3cos(2π(1x^2 - 1x - 3)) + 2)))^2 + 5((1(-3cos(2π(1x^2 - 1x - 3)) + 2) + 3)/(-2(-3cos(2π(1x^2 - 1x - 3)) + 2)))))/(2(-3((1(-3cos(2π(1x^2 - 1x - 3)) + 2) + 3)/(-2(-3cos(2π(1x^2 - 1x - 3)) + 2)))^2 + 5((1(-3cos(2π(1x^2 - 1x - 3)) + 2) + 3)/(-2(-3cos(2π(1x^2 - 1x - 3)) + 2))))) and g(x) = -2((2(5(1x)^2 + 1(1x) - 3) + 1)/(-2(5(1x)^2 + 1(1x) - 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 integer closest to the smallest x-value where the functions f(x) = 3|(1|(-2|(3|(-3x) - 2| + 1) - 2| + 1) + 2| + 3) + 2| and g(x) = 1|(2(-4(-1|x - 1| - 1) + 3) + 2) - 2| - 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(3cos(1π((2(3(3x - 5) + 1) + 3)/(-1(3(3x - 5) + 1) + 2)) + 3) - 2) - 3)/(3(3cos(1π((2(3(3x - 5) + 1) + 3)/(-1(3(3x - 5) + 1) + 2)) + 3) - 2) + 3) and g(x) = -3|(2|(-3|((2x + 2)/(1x - 3)) - 2| + 3) + 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 leftmost x-coordinate where f(x) = -2|(-3(-3|((-2(1|x - 3| - 1) + 1)/(-3(1|x - 3| - 1) - 1)) + 2| + 3))| + 2 and g(x) = 4(-2((1((1x + 3)/(-2x)) + 3)/(2((1x + 3)/(-2x)) + 3)) - 4) - 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(1((2(1|(1|x + 3| - 1) - 2| - 2) - 2)/(2(1|(1|x + 3| - 1) - 2| - 2) + 2)) - 4) + 3 and g(x) = (-2(5(-4((2x)/(2x + 3)) - 2)^2 + 5(-4((2x)/(2x + 3)) - 2) + 2) + 3)/(2(5(-4((2x)/(2x + 3)) - 2)^2 + 5(-4((2x)/(2x + 3)) - 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) = (3(1((2(3|(-1e^(-1x) - 3) + 3|))/(-1(3|(-1e^(-1x) - 3) + 3|) + 2)) + 4))/(-3(1((2(3|(-1e^(-1x) - 3) + 3|))/(-1(3|(-1e^(-1x) - 3) + 3|) + 2)) + 4) + 1) and g(x) = (1(4(-1(1x^2 + 3x)^2 + 2(1x^2 + 3x) + 3)^2 + 1(-1(1x^2 + 3x)^2 + 2(1x^2 + 3x) + 3) + 2) - 2)/(-1(4(-1(1x^2 + 3x)^2 + 2(1x^2 + 3x) + 3)^2 + 1(-1(1x^2 + 3x)^2 + 2(1x^2 + 3x) + 3) + 2) - 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 x-coordinate where the graphs of f(x) = 2((2(-3|(2cos(3π((-3x - 3)/(-2x + 3)) - 1) - 3) - 1| - 2) + 1)/(-1(-3|(2cos(3π((-3x - 3)/(-2x + 3)) - 1) - 3) - 1| - 2) - 3)) + 1 and g(x) = 2(-4((-3(-1x) + 3)/(1(-1x) + 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 largest x-value where the functions f(x) = (2(-3|(2sin(2π(4(-1x^2) - 2))) - 2| + 2) + 1)/(2(-3|(2sin(2π(4(-1x^2) - 2))) - 2| + 2) + 1) and g(x) = -1((-3((-2(-1|x + 2|) - 1)/(-3(-1|x + 2|) - 3)) + 3)/(3((-2(-1|x + 2|) - 1)/(-3(-1|x + 2|) - 3)) + 3)) + 1 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(-4((-3((-1((-3x + 2)/(-1x + 2)))/(2((-3x + 2)/(-1x + 2)) + 3)) - 1)/(3((-1((-3x + 2)/(-1x + 2)))/(2((-3x + 2)/(-1x + 2)) + 3)))) - 3) + 4 and g(x) = 5(3|(-1(1e^(2x) + 2) + 4) + 3| + 3)^2 - 2 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(-3(-1(-1|x - 2| - 2) + 1)^2 - 1(-1(-1|x - 2| - 2) + 1)) - 4)^2 - 4 and g(x) = 1|(-3((-2((-2x - 3)/(-1x - 1)) + 2)/(-3((-2x - 3)/(-1x - 1)) + 4))^2 + 3((-2((-2x - 3)/(-1x - 1)) + 2)/(-3((-2x - 3)/(-1x - 1)) + 4)) + 4) - 3| - 3 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(-5(2(-1|(-3e^(1x) + 2) + 1| + 3)^2 + 3(-1|(-3e^(1x) + 2) + 1| + 3) - 3) - 4) + 1)/(-3(-5(2(-1|(-3e^(1x) + 2) + 1| + 3)^2 + 3(-1|(-3e^(1x) + 2) + 1| + 3) - 3) - 4) + 2) and g(x) = -1|(-2(-3((-2x + 2)/(-3x + 2)) - 2)^2 - 2(-3((-2x + 2)/(-3x + 2)) - 2) - 3)| - 3 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) = -2(-2(-1(2(2|x + 2| + 1)^2 - 1(2|x + 2| + 1)) + 4) - 5) + 1 and g(x) = 3(-2|(-4(-4x + 4)^2 - 3(-4x + 4) - 5) - 2| + 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 rightmost x-coordinate where f(x) = 1|(-3((3((-3((-2x + 3)/(-3x + 4)) + 1)/(-3((-2x + 3)/(-3x + 4)) - 1)))/(-3((-3((-2x + 3)/(-3x + 4)) + 1)/(-3((-2x + 3)/(-3x + 4)) - 1)) + 1)) + 4) + 3| - 2 and g(x) = (1(1|(-4(-1x^2 - 1x + 4)^2 + 1(-1x^2 - 1x + 4) - 5) - 2| - 2) + 1)/(3(1|(-4(-1x^2 - 1x + 4)^2 + 1(-1x^2 - 1x + 4) - 5) - 2| - 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|((1(3cos(3π(1|x - 1| + 1) - 1) - 2) + 3)/(1(3cos(3π(1|x - 1| + 1) - 1) - 2) + 3)) + 2| - 2) - 3| - 1 and g(x) = -1|(5(-1(2e^(2x) + 2)^2 + 3(2e^(2x) + 2) - 1) - 3) - 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) = 3((2(2|(4(-3x^2 + 3)^2 - 2(-3x^2 + 3) + 2) + 3| + 3) + 1)/(-1(2|(4(-3x^2 + 3)^2 - 2(-3x^2 + 3) + 2) + 3| + 3) + 2)) - 5 and g(x) = (1((3(-1|(-1|x + 3| + 2) + 3| + 2) - 1)/(3(-1|(-1|x + 3| + 2) + 3| + 2))) + 2)/(-2((3(-1|(-1|x + 3| + 2) + 3| + 2) - 1)/(3(-1|(-1|x + 3| + 2) + 3| + 2))) - 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) = -4(-2|((3(-3(-2sin(1πx + 1) - 2) + 3) + 3)/(-3(-3(-2sin(1πx + 1) - 2) + 3) + 2)) + 2| + 3)^2 - 3(-2|((3(-3(-2sin(1πx + 1) - 2) + 3) + 3)/(-3(-3(-2sin(1πx + 1) - 2) + 3) + 2)) + 2| + 3) - 2 and g(x) = -1e^(1((-3(1(4x^2 - 4x - 5) - 5) + 1)/(-2(1(4x^2 - 4x - 5) - 5)))) - 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(1(-2|(5(3x - 4) + 2) - 3| - 2)^2 + 2(-2|(5(3x - 4) + 2) - 3| - 2))^2 + 3 and g(x) = 5(-4((-3(-3x + 4) - 1)/(-2(-3x + 4) + 1)) + 3) + 2 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((-3((-2(-3((3x - 3)/(-1x - 3)) - 5))/(-3(-3((3x - 3)/(-1x - 3)) - 5))) - 1)/(1((-2(-3((3x - 3)/(-1x - 3)) - 5))/(-3(-3((3x - 3)/(-1x - 3)) - 5))) - 2)) + 1)/(1((-3((-2(-3((3x - 3)/(-1x - 3)) - 5))/(-3(-3((3x - 3)/(-1x - 3)) - 5))) - 1)/(1((-2(-3((3x - 3)/(-1x - 3)) - 5))/(-3(-3((3x - 3)/(-1x - 3)) - 5))) - 2)) - 3) and g(x) = -2e^(-1(1(4(1x + 1) - 5) - 2)) + 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) = -3|(-4(5((-3(-1x^2 - 4x - 4))/(1(-1x^2 - 4x - 4))) + 2)^2 - 1(5((-3(-1x^2 - 4x - 4))/(1(-1x^2 - 4x - 4))) + 2) - 5) - 2| + 2 and g(x) = -2(-5(5((3x + 2)/(1x + 3))^2 - 1((3x + 2)/(1x + 3)) + 4))^2 + 5(-5(5((3x + 2)/(1x + 3))^2 - 1((3x + 2)/(1x + 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) = 1((2(3|(1(-2|x + 3| - 1)^2 + 1(-2|x + 3| - 1) + 5) + 1| + 3) + 3)/(1(3|(1(-2|x + 3| - 1)^2 + 1(-2|x + 3| - 1) + 5) + 1| + 3) + 1))^2 + 1((2(3|(1(-2|x + 3| - 1)^2 + 1(-2|x + 3| - 1) + 5) + 1| + 3) + 3)/(1(3|(1(-2|x + 3| - 1)^2 + 1(-2|x + 3| - 1) + 5) + 1| + 3) + 1)) + 2 and g(x) = 2(1(3|((-1x - 2)/(-3x + 4)) + 1| - 1))^2 + 2(1(3|((-1x - 2)/(-3x + 4)) + 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) = -2e^(1((-2(1|(3|((2x + 1)/(-2x - 2)) + 3| - 2) - 1| - 1) + 3)/(-1(1|(3|((2x + 1)/(-2x - 2)) + 3| - 2) - 1| - 1)))) + 3 and g(x) = 2(-1|((-2((-3x - 2)/(2x - 3)) - 3)/(-2((-3x - 2)/(2x - 3)) + 1)) + 2| + 2)^2 - 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 leftmost x-coordinate where f(x) = (-2((2(-1|(-1|((3x + 2)/(-2x - 1)) - 1| - 2) + 2| - 3) + 1)/(2(-1|(-1|((3x + 2)/(-2x - 1)) - 1| - 2) + 2| - 3) + 3)) + 1)/(-1((2(-1|(-1|((3x + 2)/(-2x - 1)) - 1| - 2) + 2| - 3) + 1)/(2(-1|(-1|((3x + 2)/(-2x - 1)) - 1| - 2) + 2| - 3) + 3)) - 1) and g(x) = (2(2|(2|((2x)/(-1x - 1)) + 1| - 1)| - 1) - 2)/(3(2|(2|((2x)/(-1x - 1)) + 1| - 1)| - 1) - 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) = -1(3(3e^(-1(-5((-1x + 2)/(2x - 1))^2 + 1((-1x + 2)/(2x - 1)) + 4)) - 1)^2 + 3(3e^(-1(-5((-1x + 2)/(2x - 1))^2 + 1((-1x + 2)/(2x - 1)) + 4)) - 1) - 3) + 4 and g(x) = (2(3(2cos(3π(-3|x - 3| + 3) + 2) - 3)^2 - 4(2cos(3π(-3|x - 3| + 3) + 2) - 3) + 1) + 1)/(-1(3(2cos(3π(-3|x - 3| + 3) + 2) - 3)^2 - 4(2cos(3π(-3|x - 3| + 3) + 2) - 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 leftmost x-coordinate where f(x) = -1(5(-4(-1|(-1x) - 3|)^2 - 1(-1|(-1x) - 3|) + 2) - 3)^2 + 1(5(-4(-1|(-1x) - 3|)^2 - 1(-1|(-1x) - 3|) + 2) - 3) - 2 and g(x) = -2((1(3(-2sin(2πx - 2) - 2)^2 + 5(-2sin(2πx - 2) - 2) - 2))/(-2(3(-2sin(2πx - 2) - 2)^2 + 5(-2sin(2πx - 2) - 2) - 2) + 1))^2 - 2((1(3(-2sin(2πx - 2) - 2)^2 + 5(-2sin(2πx - 2) - 2) - 2))/(-2(3(-2sin(2πx - 2) - 2)^2 + 5(-2sin(2πx - 2) - 2) - 2) + 1)) + 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) = (-1(-5(2(-1((-1x + 1)/(-3x - 1)) + 2) - 1) + 1))/(1(-5(2(-1((-1x + 1)/(-3x - 1)) + 2) - 1) + 1)) and g(x) = -5(-5(-2|(-2|x + 2| + 1) - 2| + 3) + 4) + 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(-5((3((-2(5x - 3))/(-1(5x - 3) + 3)) + 1)/(-1((-2(5x - 3))/(-1(5x - 3) + 3)) + 3)) - 5) + 3)/(-2(-5((3((-2(5x - 3))/(-1(5x - 3) + 3)) + 1)/(-1((-2(5x - 3))/(-1(5x - 3) + 3)) + 3)) - 5) - 3) and g(x) = 1|(4((3((3x + 2)/(-2x - 1)) + 2)/(2((3x + 2)/(-2x - 1)) + 2)) - 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) = (2(1(1(-2(2|x - 1| + 1)^2 - 2(2|x - 1| + 1) - 3)^2 - 4(-2(2|x - 1| + 1)^2 - 2(2|x - 1| + 1) - 3) - 1)^2 - 2(1(-2(2|x - 1| + 1)^2 - 2(2|x - 1| + 1) - 3)^2 - 4(-2(2|x - 1| + 1)^2 - 2(2|x - 1| + 1) - 3) - 1) - 5) - 2)/(2(1(1(-2(2|x - 1| + 1)^2 - 2(2|x - 1| + 1) - 3)^2 - 4(-2(2|x - 1| + 1)^2 - 2(2|x - 1| + 1) - 3) - 1)^2 - 2(1(-2(2|x - 1| + 1)^2 - 2(2|x - 1| + 1) - 3)^2 - 4(-2(2|x - 1| + 1)^2 - 2(2|x - 1| + 1) - 3) - 1) - 5) + 3) and g(x) = -3|(-3((2((-3x + 1)/(2x + 2)) - 3)/(1((-3x + 1)/(2x + 2)) - 2)) - 4) + 1| + 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) = -1(2(-3(2|(-2|x + 1| + 3) + 1| + 2)^2 + 1(2|(-2|x + 1| + 3) + 1| + 2) + 3) - 1)^2 + 5(2(-3(2|(-2|x + 1| + 3) + 1| + 2)^2 + 1(2|(-2|x + 1| + 3) + 1| + 2) + 3) - 1) + 5 and g(x) = 3(5(-3(-2x + 5) + 5) - 5) + 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) = -3(4(-2|(1(-2x^2 - 4x - 3)^2 + 2(-2x^2 - 4x - 3) + 2) + 3| + 3) - 3)^2 + 2(4(-2|(1(-2x^2 - 4x - 3)^2 + 2(-2x^2 - 4x - 3) + 2) + 3| + 3) - 3) + 5 and g(x) = -1(3(4((2x + 1)/(1x + 1))^2 + 2((2x + 1)/(1x + 1)) + 5) + 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 leftmost x-coordinate where f(x) = 1sin(2π(-1(-1|(-1(-4x + 2)^2 - 2(-4x + 2) - 5) + 2| + 3)^2 - 3(-1|(-1(-4x + 2)^2 - 2(-4x + 2) - 5) + 2| + 3) - 2) - 3) - 2 and g(x) = (-2(-2(-1(-1e^(-1x)) - 2)^2 - 3(-1(-1e^(-1x)) - 2) + 3) + 1)/(3(-2(-1(-1e^(-1x)) - 2)^2 - 3(-1(-1e^(-1x)) - 2) + 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) = -4(1(-2(-3sin(1π(-2x - 2) - 3) - 2) - 1)^2 + 2(-2(-3sin(1π(-2x - 2) - 3) - 2) - 1) + 2) - 4 and g(x) = (-2(1(2(2x^2 + 1x - 3)^2 + 4(2x^2 + 1x - 3) + 4)^2 - 2(2(2x^2 + 1x - 3)^2 + 4(2x^2 + 1x - 3) + 4) - 5) - 1)/(2(1(2(2x^2 + 1x - 3)^2 + 4(2x^2 + 1x - 3) + 4)^2 - 2(2(2x^2 + 1x - 3)^2 + 4(2x^2 + 1x - 3) + 4) - 5) - 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 leftmost x-coordinate where f(x) = 1(5((-2(4((-1x + 3)/(2x + 2)) + 1))/(-2(4((-1x + 3)/(2x + 2)) + 1)))^2 - 3((-2(4((-1x + 3)/(2x + 2)) + 1))/(-2(4((-1x + 3)/(2x + 2)) + 1))) + 5)^2 - 3(5((-2(4((-1x + 3)/(2x + 2)) + 1))/(-2(4((-1x + 3)/(2x + 2)) + 1)))^2 - 3((-2(4((-1x + 3)/(2x + 2)) + 1))/(-2(4((-1x + 3)/(2x + 2)) + 1))) + 5) + 4 and g(x) = 2|((1(5(1x^2 - 4x) - 1) + 1)/(-3(5(1x^2 - 4x) - 1) + 2)) - 1| - 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) = 2(1|(2cos(1π(4((1x - 3)/(3x)) + 4) + 1) - 3) - 3| + 1)^2 - 1(1|(2cos(1π(4((1x - 3)/(3x)) + 4) + 1) - 3) - 3| + 1) + 5 and g(x) = 4((-1((3(5x + 4) + 1)/(-1(5x + 4))) - 3)/(1((3(5x + 4) + 1)/(-1(5x + 4))) - 2))^2 + 3((-1((3(5x + 4) + 1)/(-1(5x + 4))) - 3)/(1((3(5x + 4) + 1)/(-1(5x + 4))) - 2)) - 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) = (1(5((1((3(-1e^(2x) - 3) - 2)/(-3(-1e^(2x) - 3) + 1)) + 1)/(1((3(-1e^(2x) - 3) - 2)/(-3(-1e^(2x) - 3) + 1)) - 2))^2 - 5((1((3(-1e^(2x) - 3) - 2)/(-3(-1e^(2x) - 3) + 1)) + 1)/(1((3(-1e^(2x) - 3) - 2)/(-3(-1e^(2x) - 3) + 1)) - 2))) + 2)/(3(5((1((3(-1e^(2x) - 3) - 2)/(-3(-1e^(2x) - 3) + 1)) + 1)/(1((3(-1e^(2x) - 3) - 2)/(-3(-1e^(2x) - 3) + 1)) - 2))^2 - 5((1((3(-1e^(2x) - 3) - 2)/(-3(-1e^(2x) - 3) + 1)) + 1)/(1((3(-1e^(2x) - 3) - 2)/(-3(-1e^(2x) - 3) + 1)) - 2))) + 1) and g(x) = -2((-1(-2e^(1((1x - 1)/(-1x - 3))) + 3) - 3)/(-3(-2e^(1((1x - 1)/(-1x - 3))) + 3) - 3)) - 5 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) = 1sin(3π((1((-1(-2(-4x - 5) - 1) - 1)/(-1(-2(-4x - 5) - 1) - 2)) + 1)/(-3((-1(-2(-4x - 5) - 1) - 1)/(-1(-2(-4x - 5) - 1) - 2)))) - 1) and g(x) = 4((-3(-3(-5x + 1) - 3) - 1)/(-1(-3(-5x + 1) - 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 leftmost x-coordinate where f(x) = 2|(-1((-1(4(-3cos(2πx - 3) - 1)^2 + 3(-3cos(2πx - 3) - 1) - 1) - 1)/(3(4(-3cos(2πx - 3) - 1)^2 + 3(-3cos(2πx - 3) - 1) - 1) - 2)) - 2) - 3| + 3 and g(x) = (3(1|(2e^(-2((-3x - 2)/(2x - 1))) - 2) - 1| - 1))/(3(1|(2e^(-2((-3x - 2)/(2x - 1))) - 2) - 1| - 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 x-coordinate where the graphs of f(x) = (-3(2|(-1(2(-2x^2 + 1x - 1)^2 + 2(-2x^2 + 1x - 1) - 5)^2 - 4(2(-2x^2 + 1x - 1)^2 + 2(-2x^2 + 1x - 1) - 5) - 2) + 3| + 1) + 1)/(-3(2|(-1(2(-2x^2 + 1x - 1)^2 + 2(-2x^2 + 1x - 1) - 5)^2 - 4(2(-2x^2 + 1x - 1)^2 + 2(-2x^2 + 1x - 1) - 5) - 2) + 3| + 1) - 1) and g(x) = -1(-1e^(-1(1(3x - 3) - 3)) - 3) - 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 rightmost x-coordinate where f(x) = 5(3sin(1π(-1|(3|((3x - 1)/(1x + 2)) + 1| - 2) + 1| + 1) - 3)) - 1 and g(x) = 3(3(2(5x + 4) - 2)^2 + 3(2(5x + 4) - 2) - 4)^2 - 3(3(2(5x + 4) - 2)^2 + 3(2(5x + 4) - 2) - 4) + 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(3(4((1x - 3)/(3x))^2 + 5((1x - 3)/(3x)) + 1))^2 - 1(3(4((1x - 3)/(3x))^2 + 5((1x - 3)/(3x)) + 1)) + 1) + 2 and g(x) = -3((3(-4(-3cos(2πx + 1) + 2)^2 - 2(-3cos(2πx + 1) + 2) + 4) - 1)/(2(-4(-3cos(2πx + 1) + 2)^2 - 2(-3cos(2πx + 1) + 2) + 4) + 2)) - 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) = -5((-2(1(2(3x + 4)^2 + 2(3x + 4)) - 3) + 1)/(2(1(2(3x + 4)^2 + 2(3x + 4)) - 3) + 3))^2 - 2((-2(1(2(3x + 4)^2 + 2(3x + 4)) - 3) + 1)/(2(1(2(3x + 4)^2 + 2(3x + 4)) - 3) + 3)) + 3 and g(x) = (2((2(-3(-2x + 1) + 2) - 2)/(-2(-3(-2x + 1) + 2) - 3)) - 2)/(-2((2(-3(-2x + 1) + 2) - 2)/(-2(-3(-2x + 1) + 2) - 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) = (3(3(-5((1(-3x + 5))/(3(-3x + 5) - 2)) + 1) - 5) - 3)/(2(3(-5((1(-3x + 5))/(3(-3x + 5) - 2)) + 1) - 5) + 3) and g(x) = -2sin(2π((-1(5(2x^2 - 5x)^2 - 5(2x^2 - 5x) - 5) + 1)/(-2(5(2x^2 - 5x)^2 - 5(2x^2 - 5x) - 5) - 2)) + 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 rightmost x-coordinate where f(x) = -2(-5(1((1(-4x^2 + 2x - 3) - 1)/(3(-4x^2 + 2x - 3)))^2 - 2((1(-4x^2 + 2x - 3) - 1)/(3(-4x^2 + 2x - 3))) + 3) + 3)^2 + 4(-5(1((1(-4x^2 + 2x - 3) - 1)/(3(-4x^2 + 2x - 3)))^2 - 2((1(-4x^2 + 2x - 3) - 1)/(3(-4x^2 + 2x - 3))) + 3) + 3) - 5 and g(x) = -2|(-1(4((-2x - 1)/(1x + 2)) + 3) + 4) - 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(4(2|((3(-2|x - 1| - 3))/(-2(-2|x - 1| - 3) - 1)) + 3| - 1)^2 + 1(2|((3(-2|x - 1| - 3))/(-2(-2|x - 1| - 3) - 1)) + 3| - 1) - 5) + 3)/(2(4(2|((3(-2|x - 1| - 3))/(-2(-2|x - 1| - 3) - 1)) + 3| - 1)^2 + 1(2|((3(-2|x - 1| - 3))/(-2(-2|x - 1| - 3) - 1)) + 3| - 1) - 5)) and g(x) = (-1(4((2(3|x + 2| + 1) - 1)/(-1(3|x + 2| + 1) - 2)) + 2) + 1)/(2(4((2(3|x + 2| + 1) - 1)/(-1(3|x + 2| + 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|(-3sin(1π(-2((-2x - 2)/(-3x - 2))) - 2) + 3) - 2| + 3) - 1)/(3(-1|(-3sin(1π(-2((-2x - 2)/(-3x - 2))) - 2) + 3) - 2| + 3) - 2) and g(x) = 3(3(3|(-1e^(-2x) - 2)| + 1) + 3) - 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) = 1|(-5(-4(-5((-1x)/(-3x - 2))^2 + 4((-1x)/(-3x - 2)) + 1)^2 + 2(-5((-1x)/(-3x - 2))^2 + 4((-1x)/(-3x - 2)) + 1) - 2) - 5) - 1| - 2 and g(x) = -5(-2(-4(-5x^2 - 2x - 3)^2 - 4(-5x^2 - 2x - 3))^2) 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(3|((3(4((1x - 2)/(-1x + 3))^2 + 4((1x - 2)/(-1x + 3)) - 5) + 3)/(-3(4((1x - 2)/(-1x + 3))^2 + 4((1x - 2)/(-1x + 3)) - 5) + 1)) + 2|) - 4 and g(x) = -1|((-2(1(2x^2 + 5x + 5)^2 - 4(2x^2 + 5x + 5) - 1))/(1(1(2x^2 + 5x + 5)^2 - 4(2x^2 + 5x + 5) - 1) + 1)) + 1| - 2 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) = (-2(-2e^(1((3(1(-2|x - 1| - 2)) - 2)/(3(1(-2|x - 1| - 2)) + 3))) - 3) + 1)/(1(-2e^(1((3(1(-2|x - 1| - 2)) - 2)/(3(1(-2|x - 1| - 2)) + 3))) - 3) + 1) and g(x) = (2((2(4((-2x - 3)/(-2x + 3)) + 3) + 2)/(-2(4((-2x - 3)/(-2x + 3)) + 3) - 3)) + 3)/(-2((2(4((-2x - 3)/(-2x + 3)) + 3) + 2)/(-2(4((-2x - 3)/(-2x + 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) = 3sin(2π(5(3((1(-1|x| - 2) - 2)/(1(-1|x| - 2))) - 3) - 1) + 3) + 1 and g(x) = 1|(5((1((-1x + 1)/(1x + 2)) - 1)/(1((-1x + 1)/(1x + 2)) - 2)) + 5) + 3| - 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) = -1((-2(5((2(-3x - 5) + 2)/(-1(-3x - 5) + 3)) + 5) - 1)/(-2(5((2(-3x - 5) + 2)/(-1(-3x - 5) + 3)) + 5) + 3)) + 1 and g(x) = -2e^(-1((1(-5(2x^2 - 2) - 3) - 1)/(1(-5(2x^2 - 2) - 3)))) + 1 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|(3((-1(1(-2sin(3πx - 1) - 3)^2 - 2(-2sin(3πx - 1) - 3) + 1) + 1)/(3(1(-2sin(3πx - 1) - 3)^2 - 2(-2sin(3πx - 1) - 3) + 1) - 2)) + 2) + 1| + 3 and g(x) = 2|((-1((1((3x + 2)/(-1x + 3)) + 1)/(-2((3x + 2)/(-1x + 3)) - 3)) + 3)/(2((1((3x + 2)/(-1x + 3)) + 1)/(-2((3x + 2)/(-1x + 3)) - 3)) + 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 first x-coordinate (rounded to the nearest integer) where f(x) = (1(-1cos(1π(3(-4(-2x - 1)^2 - 5(-2x - 1) - 2)^2 + 4(-4(-2x - 1)^2 - 5(-2x - 1) - 2) + 2) + 2) + 3))/(-2(-1cos(1π(3(-4(-2x - 1)^2 - 5(-2x - 1) - 2)^2 + 4(-4(-2x - 1)^2 - 5(-2x - 1) - 2) + 2) + 2) + 3) - 3) and g(x) = (2(-3|(5((-1x - 2)/(2x + 3))^2 - 3((-1x - 2)/(2x + 3)) - 1) + 1| + 1) + 2)/(-2(-3|(5((-1x - 2)/(2x + 3))^2 - 3((-1x - 2)/(2x + 3)) - 1) + 1| + 1) - 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) = (-1(-3|(2(-5(2sin(2πx + 2) + 2) + 5)^2 + 3(-5(2sin(2πx + 2) + 2) + 5) + 3) + 2|) - 2)/(1(-3|(2(-5(2sin(2πx + 2) + 2) + 5)^2 + 3(-5(2sin(2πx + 2) + 2) + 5) + 3) + 2|) + 2) and g(x) = 1((2(-2(1x + 4) - 2) - 2)/(-1(-2(1x + 4) - 2) + 2)) - 3 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|(-2cos(1π(-1(-1|(3x^2 - 1x + 3) - 1| - 3) + 1) + 2) - 3) - 1| + 2 and g(x) = 5(-1(-3((3x + 2)/(2x - 1)) - 5)^2 + 4(-3((3x + 2)/(2x - 1)) - 5) + 2) - 5 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) = -5((-3(5(-3(1x^2 + 1x - 3) + 4)^2 - 3))/(1(5(-3(1x^2 + 1x - 3) + 4)^2 - 3))) and g(x) = (-3(-5((-1((3x)/(-3x + 4)) - 1)/(1((3x)/(-3x + 4)))) + 2) - 1)/(-1(-5((-1((3x)/(-3x + 4)) - 1)/(1((3x)/(-3x + 4)))) + 2) + 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) = -5(-1(3|(-1e^(-2((3x + 2)/(1x + 3))) - 1) + 1| + 2) + 1) + 2 and g(x) = (-2(1(-3|((-2x + 1)/(-2x - 3)) + 3| + 2) - 1) - 2)/(2(1(-3|((-2x + 1)/(-2x - 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 closest to the largest x-value where the functions f(x) = 1|((-2(-2|(5((-1x - 1)/(1x)) + 4) + 3| + 1) + 1)/(2(-2|(5((-1x - 1)/(1x)) + 4) + 3| + 1) + 3)) - 2| and g(x) = 4(-5(4(-5x + 4)^2) - 1)^2 + 5(-5(4(-5x + 4)^2) - 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(1(-1|((-1(-2|x - 3| + 2) + 1)/(2(-2|x - 3| + 2) + 1)) - 1| + 3)^2 - 2(-1|((-1(-2|x - 3| + 2) + 1)/(2(-2|x - 3| + 2) + 1)) - 1| + 3) + 5) - 2)/(-3(1(-1|((-1(-2|x - 3| + 2) + 1)/(2(-2|x - 3| + 2) + 1)) - 1| + 3)^2 - 2(-1|((-1(-2|x - 3| + 2) + 1)/(2(-2|x - 3| + 2) + 1)) - 1| + 3) + 5) + 4) and g(x) = (-1((1(3(3|x + 3| - 3) - 5) - 2)/(-2(3(3|x + 3| - 3) - 5))) - 3)/(-3((1(3(3|x + 3| - 3) - 5) - 2)/(-2(3(3|x + 3| - 3) - 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 leftmost x-coordinate where f(x) = 2|(-4(1(1|(2x + 5)| - 1)^2 + 2(1|(2x + 5)| - 1))^2 - 3(1(1|(2x + 5)| - 1)^2 + 2(1|(2x + 5)| - 1)) - 1) + 1| - 3 and g(x) = 1|(-1|((-1(-1sin(3πx + 3) + 3) - 1)/(2(-1sin(3πx + 3) + 3) - 3)) + 3|) + 1| - 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) = -5((2((-2(3(-4x^2 + 2x + 4)^2 + 4(-4x^2 + 2x + 4) - 5) - 2)/(-2(3(-4x^2 + 2x + 4)^2 + 4(-4x^2 + 2x + 4) - 5))) + 3)/(1((-2(3(-4x^2 + 2x + 4)^2 + 4(-4x^2 + 2x + 4) - 5) - 2)/(-2(3(-4x^2 + 2x + 4)^2 + 4(-4x^2 + 2x + 4) - 5))) - 3))^2 + 1((2((-2(3(-4x^2 + 2x + 4)^2 + 4(-4x^2 + 2x + 4) - 5) - 2)/(-2(3(-4x^2 + 2x + 4)^2 + 4(-4x^2 + 2x + 4) - 5))) + 3)/(1((-2(3(-4x^2 + 2x + 4)^2 + 4(-4x^2 + 2x + 4) - 5) - 2)/(-2(3(-4x^2 + 2x + 4)^2 + 4(-4x^2 + 2x + 4) - 5))) - 3)) and g(x) = 1((-3(4(2x + 2)^2 - 1) + 2)/(3(4(2x + 2)^2 - 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) = 4((-3(-3|(2(2x - 2) + 3) + 1| + 1) - 1)/(-2(-3|(2(2x - 2) + 3) + 1| + 1) + 1)) - 1 and g(x) = (-3((1(1|(3|x - 1| - 2) + 1| + 1))/(-1(1|(3|x - 1| - 2) + 1| + 1) + 2)) + 3)/(-2((1(1|(3|x - 1| - 2) + 1| + 1))/(-1(1|(3|x - 1| - 2) + 1| + 1) + 2)) - 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(-2|(3|(-2x^2 - 4x - 3) - 3| + 2) + 3| - 1) + 5)^2 + 5(1(-2|(3|(-2x^2 - 4x - 3) - 3| + 2) + 3| - 1) + 5) and g(x) = -1((2((1(5x - 4))/(1(5x - 4) + 1)) + 2)/(-2((1(5x - 4))/(1(5x - 4) + 1)) + 1))^2 - 1((2((1(5x - 4))/(1(5x - 4) + 1)) + 2)/(-2((1(5x - 4))/(1(5x - 4) + 1)) + 1)) - 1 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) = -2(1|(2(-3(4x + 5) + 5)^2 - 2(-3(4x + 5) + 5) - 4)| + 1)^2 - 5(1|(2(-3(4x + 5) + 5)^2 - 2(-3(4x + 5) + 5) - 4)| + 1) - 3 and g(x) = -1(-3|(-2|(2cos(1πx + 3) - 2) + 2| - 1)| + 3)^2 + 3(-3|(-2|(2cos(1πx + 3) - 2) + 2| - 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) = -5(-2sin(3π(-1|(2|(2|x - 3| + 1) - 1| + 3) + 2| - 3) - 3) - 1) + 4 and g(x) = -3|(-1(-2((2x)/(-3x + 1))^2 - 5((2x)/(-3x + 1)) + 3) - 5) - 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) = (3((-3((2(-3|((1x - 3)/(-1x - 3)) + 1| - 2) + 1)/(-1(-3|((1x - 3)/(-1x - 3)) + 1| - 2) + 2)) + 3)/(-3((2(-3|((1x - 3)/(-1x - 3)) + 1| - 2) + 1)/(-1(-3|((1x - 3)/(-1x - 3)) + 1| - 2) + 2)))) + 1)/(-3((-3((2(-3|((1x - 3)/(-1x - 3)) + 1| - 2) + 1)/(-1(-3|((1x - 3)/(-1x - 3)) + 1| - 2) + 2)) + 3)/(-3((2(-3|((1x - 3)/(-1x - 3)) + 1| - 2) + 1)/(-1(-3|((1x - 3)/(-1x - 3)) + 1| - 2) + 2)))) + 1) and g(x) = -5((-2(1(5x + 3) - 1) - 1)/(3(1(5x + 3) - 1)))^2 + 1((-2(1(5x + 3) - 1) - 1)/(3(1(5x + 3) - 1))) + 5 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) = -5(-3|(1(-2(-1|x + 1| - 2) - 5) - 5) + 2| - 2) - 3 and g(x) = (-1(2|(-3(-5x^2 + 5x)^2 - 3(-5x^2 + 5x) - 1) + 3| - 3) + 3)/(-2(2|(-3(-5x^2 + 5x)^2 - 3(-5x^2 + 5x) - 1) + 3| - 3) - 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) = -2e^(-1((-2(3(3|(-4x - 4) + 2| - 1) - 1) - 2)/(1(3(3|(-4x - 4) + 2| - 1) - 1) - 3))) + 2 and g(x) = 1|(-1|(2|(-3cos(1πx - 2) - 2) - 1| - 1) - 3| + 3) + 1| - 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) = 1(-1(1((1(-2x^2 - 2) - 3)/(-3(-2x^2 - 2) - 3))^2 - 4((1(-2x^2 - 2) - 3)/(-3(-2x^2 - 2) - 3)) - 3) - 4) - 2 and g(x) = -2(1(-2((-2x - 2)/(-1x - 1))^2 + 2((-2x - 2)/(-1x - 1)) + 5)^2 + 2(-2((-2x - 2)/(-1x - 1))^2 + 2((-2x - 2)/(-1x - 1)) + 5) + 5) + 5 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((-3(1|(-4(-1cos(2πx - 2) + 1) - 2) - 3| - 3) + 2)/(1(1|(-4(-1cos(2πx - 2) + 1) - 2) - 3| - 3) + 1)) + 5 and g(x) = -4(1(2|(-3x - 2) + 2| - 3) - 5) - 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(-3|(-5(3|((-1x - 2)/(1x + 1)) - 1|) + 1) - 2| - 3) and g(x) = -2(2(1((1x - 1)/(-2x - 3))^2 - 3)^2 + 1(1((1x - 1)/(-2x - 3))^2 - 3) - 4) + 1 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) = (-2(5(3((-1((1x + 1)/(2x)) + 1)/(2((1x + 1)/(2x)) + 2)) - 2)^2 - 2(3((-1((1x + 1)/(2x)) + 1)/(2((1x + 1)/(2x)) + 2)) - 2) - 3))/(3(5(3((-1((1x + 1)/(2x)) + 1)/(2((1x + 1)/(2x)) + 2)) - 2)^2 - 2(3((-1((1x + 1)/(2x)) + 1)/(2((1x + 1)/(2x)) + 2)) - 2) - 3) - 2) and g(x) = -3(1((2((-1x - 2)/(-1x - 1)) + 1)/(-3((-1x - 2)/(-1x - 1)) + 1))^2 + 2)^2 + 3(1((2((-1x - 2)/(-1x - 1)) + 1)/(-3((-1x - 2)/(-1x - 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) = -1cos(1π(1(-4(5(-3|x - 1|) - 5)^2 - 1(5(-3|x - 1|) - 5) + 5) - 5) + 1) - 3 and g(x) = (-2(2|(-5((-2x)/(2x - 1)) + 5) - 2| - 2) - 1)/(-1(2|(-5((-2x)/(2x - 1)) + 5) - 2| - 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) = -1(-4((-2(2|(-3|x - 2| - 2) + 3| + 3) + 1)/(-2(2|(-3|x - 2| - 2) + 3| + 3) - 3))^2 - 4((-2(2|(-3|x - 2| - 2) + 3| + 3) + 1)/(-2(2|(-3|x - 2| - 2) + 3| + 3) - 3)) - 3)^2 - 4(-4((-2(2|(-3|x - 2| - 2) + 3| + 3) + 1)/(-2(2|(-3|x - 2| - 2) + 3| + 3) - 3))^2 - 4((-2(2|(-3|x - 2| - 2) + 3| + 3) + 1)/(-2(2|(-3|x - 2| - 2) + 3| + 3) - 3)) - 3) + 5 and g(x) = -3(4((-3(-2|x - 1| + 3))/(2(-2|x - 1| + 3) + 2))) - 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) = -1|((3(-3cos(1π(2((-1x - 3)/(-3x + 4))^2 + 5((-1x - 3)/(-3x + 4)) - 2) + 3) - 1) - 2)/(2(-3cos(1π(2((-1x - 3)/(-3x + 4))^2 + 5((-1x - 3)/(-3x + 4)) - 2) + 3) - 1) - 1)) - 2| + 3 and g(x) = 3|(-2|((-3(5x - 1) + 2)/(3(5x - 1) - 1)) - 3| + 2) + 1| - 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) = 1(1|(-1e^(-2(-1|(-3x^2 + 4x) - 2| + 3)) - 2) + 3| - 3) - 3 and g(x) = -5(-1(5((-3x + 2)/(-2x + 3)) - 5))^2 + 5(-1(5((-3x + 2)/(-2x + 3)) - 5)) - 3 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) = -3(-3|(5(3(-4x^2 + 4x - 2) + 4)^2 + 4(3(-4x^2 + 4x - 2) + 4) + 4)| + 1)^2 - 5(-3|(5(3(-4x^2 + 4x - 2) + 4)^2 + 4(3(-4x^2 + 4x - 2) + 4) + 4)| + 1) - 4 and g(x) = -2e^(-1((2(-2(1x^2 + 2x) + 5) - 2)/(-3(-2(1x^2 + 2x) + 5)))) 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(2((-3(3(1x + 1) - 4) - 2)/(-2(3(1x + 1) - 4) + 1)) - 2) + 2 and g(x) = 5(-1cos(1π(-3|(5x^2 - 2x - 1) - 2| - 2) + 2) - 2) - 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 x-coordinate where the graphs of f(x) = (3((2(-3|((-2((3x + 2)/(1x + 3)))/(-1((3x + 2)/(1x + 3)) - 1)) + 2| + 3) + 2)/(-1(-3|((-2((3x + 2)/(1x + 3)))/(-1((3x + 2)/(1x + 3)) - 1)) + 2| + 3) - 2)) + 1)/(-2((2(-3|((-2((3x + 2)/(1x + 3)))/(-1((3x + 2)/(1x + 3)) - 1)) + 2| + 3) + 2)/(-1(-3|((-2((3x + 2)/(1x + 3)))/(-1((3x + 2)/(1x + 3)) - 1)) + 2| + 3) - 2))) and g(x) = 2(1cos(2π(-1(-3|x - 3| - 2)^2 + 5(-3|x - 3| - 2) - 2) + 3) + 2) + 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) = (-3(3|((-2(3e^(-1(-1x - 2))) + 2)/(2(3e^(-1(-1x - 2))) + 2)) + 3| + 3) - 1)/(-2(3|((-2(3e^(-1(-1x - 2))) + 2)/(2(3e^(-1(-1x - 2))) + 2)) + 3| + 3) + 3) and g(x) = 3sin(3π((-2(2|((3x - 1)/(1x + 3)) + 1| + 3) - 3)/(1(2|((3x - 1)/(1x + 3)) + 1| + 3) + 2)) + 1) + 1 in the interval [-10, 10], rounded to the nearest integer.

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(2sin(2π(-1|((3(3x^2 - 2x + 2) - 1)/(2(3x^2 - 2x + 2) - 3)) - 2| - 1) - 3) + 1) + 5 and g(x) = (2(2|(4(-1x + 2) + 1) - 1| - 2) + 1)/(-3(2|(4(-1x + 2) + 1) - 1| - 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) = (-3(-1(-1(3e^(1((1x + 2)/(2x + 2))))^2 + 2(3e^(1((1x + 2)/(2x + 2)))) + 2)^2 - 4(-1(3e^(1((1x + 2)/(2x + 2))))^2 + 2(3e^(1((1x + 2)/(2x + 2)))) + 2) - 2) - 2)/(-1(-1(-1(3e^(1((1x + 2)/(2x + 2))))^2 + 2(3e^(1((1x + 2)/(2x + 2)))) + 2)^2 - 4(-1(3e^(1((1x + 2)/(2x + 2))))^2 + 2(3e^(1((1x + 2)/(2x + 2)))) + 2) - 2) - 3) and g(x) = (3((-1((-1(-2sin(2πx) + 3) + 1)/(3(-2sin(2πx) + 3) - 2)) - 2)/(1((-1(-2sin(2πx) + 3) + 1)/(3(-2sin(2πx) + 3) - 2)) + 1)) + 1)/(-1((-1((-1(-2sin(2πx) + 3) + 1)/(3(-2sin(2πx) + 3) - 2)) - 2)/(1((-1(-2sin(2πx) + 3) + 1)/(3(-2sin(2πx) + 3) - 2)) + 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) = (3(1((-3(2|(4x^2 + 3x - 1) - 2| + 3) - 2)/(1(2|(4x^2 + 3x - 1) - 2| + 3))) + 3) + 3)/(-3(1((-3(2|(4x^2 + 3x - 1) - 2| + 3) - 2)/(1(2|(4x^2 + 3x - 1) - 2| + 3))) + 3)) and g(x) = 3((1((-3((-2x + 1)/(-2x + 3)) + 1)/(-2((-2x + 1)/(-2x + 3)) - 1)) + 3)/(1((-3((-2x + 1)/(-2x + 3)) + 1)/(-2((-2x + 1)/(-2x + 3)) - 1)) - 3)) - 5 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((-2(-4((3(2x) - 1)/(1(2x) - 2))^2 - 3((3(2x) - 1)/(1(2x) - 2)) + 1))/(-1(-4((3(2x) - 1)/(1(2x) - 2))^2 - 3((3(2x) - 1)/(1(2x) - 2)) + 1) - 2)) - 1)/(2((-2(-4((3(2x) - 1)/(1(2x) - 2))^2 - 3((3(2x) - 1)/(1(2x) - 2)) + 1))/(-1(-4((3(2x) - 1)/(1(2x) - 2))^2 - 3((3(2x) - 1)/(1(2x) - 2)) + 1) - 2)) + 2) and g(x) = -3|((3(4(-3|x| + 1) - 5))/(3(4(-3|x| + 1) - 5) - 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 rightmost x-coordinate where f(x) = -1(-1|(-3|(-5(1x^2 + 4) + 2) + 1| - 1) - 2| + 1) + 5 and g(x) = 4(3e^(1(2(1|x| + 2)^2 - 4(1|x| + 2))) + 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) = 5((-3(2((-1(1cos(1πx - 2) - 1) + 2)/(2(1cos(1πx - 2) - 1) + 2)) - 1))/(1(2((-1(1cos(1πx - 2) - 1) + 2)/(2(1cos(1πx - 2) - 1) + 2)) - 1))) and g(x) = -5(1(3((-2x - 2)/(3x - 2))) + 3) + 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) = (-2((3(-1|(-2(-3e^(2x) + 2) + 2) + 1| + 2))/(-3(-1|(-2(-3e^(2x) + 2) + 2) + 1| + 2) - 3)) - 2)/(1((3(-1|(-2(-3e^(2x) + 2) + 2) + 1| + 2))/(-3(-1|(-2(-3e^(2x) + 2) + 2) + 1| + 2) - 3)) + 3) and g(x) = -5(-5((1(2x) + 2)/(-3(2x) + 2))^2 - 4((1(2x) + 2)/(-3(2x) + 2)) + 2) + 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) = 4(-2(-4(-3cos(2π((1x - 1)/(-1x + 2)) + 2) - 2)^2 + 4)^2 + 5(-4(-3cos(2π((1x - 1)/(-1x + 2)) + 2) - 2)^2 + 4) + 3)^2 + 1(-2(-4(-3cos(2π((1x - 1)/(-1x + 2)) + 2) - 2)^2 + 4)^2 + 5(-4(-3cos(2π((1x - 1)/(-1x + 2)) + 2) - 2)^2 + 4) + 3) + 2 and g(x) = 1(3(5((3x)/(-1x - 1))) + 4) - 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 rightmost x-coordinate where f(x) = -2sin(2π(3|(-3(1|((3x - 1)/(3x + 2)) - 1| + 3) + 1) + 3| + 1) - 2) + 2 and g(x) = (2((1(-4(3|x - 1| - 1) - 3) + 3)/(3(-4(3|x - 1| - 1) - 3) + 1)) + 1)/(-3((1(-4(3|x - 1| - 1) - 3) + 3)/(3(-4(3|x - 1| - 1) - 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) = 3sin(2π((1(4((3(-1|x - 3| - 2))/(-3(-1|x - 3| - 2) - 3))^2 + 2((3(-1|x - 3| - 2))/(-3(-1|x - 3| - 2) - 3)) + 5) + 1)/(3(4((3(-1|x - 3| - 2))/(-3(-1|x - 3| - 2) - 3))^2 + 2((3(-1|x - 3| - 2))/(-3(-1|x - 3| - 2) - 3)) + 5) - 2)) + 3) + 1 and g(x) = (3((-2((-1(-1|x - 2| + 2))/(-1(-1|x - 2| + 2) + 2)) - 2)/(-1((-1(-1|x - 2| + 2))/(-1(-1|x - 2| + 2) + 2)) + 2)) - 1)/(-1((-2((-1(-1|x - 2| + 2))/(-1(-1|x - 2| + 2) + 2)) - 2)/(-1((-1(-1|x - 2| + 2))/(-1(-1|x - 2| + 2) + 2)) + 2)) - 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) = 4((2((-3(-4(2x - 1)^2 + 4(2x - 1) + 4))/(-3(-4(2x - 1)^2 + 4(2x - 1) + 4) - 1)) + 2)/(3((-3(-4(2x - 1)^2 + 4(2x - 1) + 4))/(-3(-4(2x - 1)^2 + 4(2x - 1) + 4) - 1)) - 2))^2 + 5((2((-3(-4(2x - 1)^2 + 4(2x - 1) + 4))/(-3(-4(2x - 1)^2 + 4(2x - 1) + 4) - 1)) + 2)/(3((-3(-4(2x - 1)^2 + 4(2x - 1) + 4))/(-3(-4(2x - 1)^2 + 4(2x - 1) + 4) - 1)) - 2)) - 5 and g(x) = -4(-3((2(4x + 2) - 3)/(-2(4x + 2) - 1))^2 + 5) + 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) = 3cos(3π((1(2((-1((-2x - 3)/(1x)) + 1)/(2((-2x - 3)/(1x)) + 1)) + 4) - 3)/(-2(2((-1((-2x - 3)/(1x)) + 1)/(2((-2x - 3)/(1x)) + 1)) + 4) - 1))) - 3 and g(x) = (-3((2(-5(-5x - 2)) - 3)/(1(-5(-5x - 2)))) - 2)/(-1((2(-5(-5x - 2)) - 3)/(1(-5(-5x - 2)))) + 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) = -1(-1(3e^(1((1(-2|x + 2| - 1) + 3)/(2(-2|x + 2| - 1) - 1))) - 1) - 5) + 3 and g(x) = (3(1(1|(2x^2 - 2x - 4) + 3| - 1)^2 - 5(1|(2x^2 - 2x - 4) + 3| - 1)) - 1)/(-2(1(1|(2x^2 - 2x - 4) + 3| - 1)^2 - 5(1|(2x^2 - 2x - 4) + 3| - 1))) 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(1|((-1(-1cos(3πx) + 3) - 2)/(-3(-1cos(3πx) + 3) - 3)) - 2| + 3) - 5) - 2)/(-1(3(1|((-1(-1cos(3πx) + 3) - 2)/(-3(-1cos(3πx) + 3) - 3)) - 2| + 3) - 5) - 1) and g(x) = (1(-5((-1((-1x - 2)/(2x + 3)) - 2)/(-1((-1x - 2)/(2x + 3)) - 1)) + 2) + 3)/(2(-5((-1((-1x - 2)/(2x + 3)) - 2)/(-1((-1x - 2)/(2x + 3)) - 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) = -2(1e^(1(-5(-4(-3x^2 - 4x - 2) + 2) - 4))) + 4 and g(x) = (3(2|(-2|(-2e^(2x)) - 3| + 3) + 3| - 1) - 2)/(3(2|(-2|(-2e^(2x)) - 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) = 2(3|(-1(-2e^(-2(-1x^2 + 3x + 3)) - 2)^2 + 5(-2e^(-2(-1x^2 + 3x + 3)) - 2) + 4)| + 2) - 2 and g(x) = 1|(5(5(-1x^2 - 1x - 2)^2 - 1(-1x^2 - 1x - 2) - 2)^2 - 1)| + 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|(4(-4(-3(5x^2 - 5x - 1)^2 + 5(5x^2 - 5x - 1) - 2) + 1) + 2) + 2| + 2 and g(x) = 4(2|(-2(3e^(-1x) + 1)^2 - 1(3e^(-1x) + 1) - 2) - 1|)^2 - 5(2|(-2(3e^(-1x) + 1)^2 - 1(3e^(-1x) + 1) - 2) - 1|) - 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) = -2(-2(1(1|(-2e^(2x)) - 2| - 2) - 2)^2 + 3(1(1|(-2e^(2x)) - 2| - 2) - 2) - 4)^2 - 2(-2(1(1|(-2e^(2x)) - 2| - 2) - 2)^2 + 3(1(1|(-2e^(2x)) - 2| - 2) - 2) - 4) - 5 and g(x) = -3((-2(5(-2|x - 2| + 3)^2 - 2(-2|x - 2| + 3) - 5) - 2)/(1(5(-2|x - 2| + 3)^2 - 2(-2|x - 2| + 3) - 5) - 3)) - 3 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(3(2(-3(3e^(2x) + 1) + 1) - 3) - 5))/(-2(3(2(-3(3e^(2x) + 1) + 1) - 3) - 5) + 3) and g(x) = 1|((2(2((2x + 2)/(3x - 1)) - 3) - 2)/(-1(2((2x + 2)/(3x - 1)) - 3) - 1)) + 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|((2(1|(2|(3x^2 - 5x + 5)| - 2) + 2| - 3) - 3)/(-2(1|(2|(3x^2 - 5x + 5)| - 2) + 2| - 3) - 1)) - 3| - 1 and g(x) = (2((2(2(2x + 2)^2 - 2(2x + 2) - 5) - 2)/(-3(2(2x + 2)^2 - 2(2x + 2) - 5))) - 3)/(1((2(2(2x + 2)^2 - 2(2x + 2) - 5) - 2)/(-3(2(2x + 2)^2 - 2(2x + 2) - 5))) + 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) = 4((-1(-1(4(-5x - 5) - 4) - 2) - 2)/(1(-1(4(-5x - 5) - 4) - 2)))^2 - 2((-1(-1(4(-5x - 5) - 4) - 2) - 2)/(1(-1(4(-5x - 5) - 4) - 2))) - 5 and g(x) = 1|(1(1|(4x^2 + 4x + 5) + 1|) - 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 rightmost x-coordinate where f(x) = -1|(-5(-2e^(-1(1(-1|x + 2|)^2 - 5(-1|x + 2|) - 5)) - 2)^2 - 3(-2e^(-1(1(-1|x + 2|)^2 - 5(-1|x + 2|) - 5)) - 2) - 2) + 3| - 1 and g(x) = -1(1|(2|(-2|x + 1| - 3) + 1| + 1) - 2| - 3)^2 - 4(1|(2|(-2|x + 1| - 3) + 1| + 1) - 2| - 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 leftmost x-coordinate where f(x) = -3(3|(-4(3((3x + 3)/(-3x + 4)) + 4)^2 - 4(3((3x + 3)/(-3x + 4)) + 4) + 4) - 3| + 1) and g(x) = -4((-1(-2|((-1x - 1)/(-3x - 3)) + 1| - 3) - 3)/(-2(-2|((-1x - 1)/(-3x - 3)) + 1| - 3) + 3))^2 + 3((-1(-2|((-1x - 1)/(-3x - 3)) + 1| - 3) - 3)/(-2(-2|((-1x - 1)/(-3x - 3)) + 1| - 3) + 3)) - 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) = 2(-1((3(2|(-3x) + 3|) + 1)/(2(2|(-3x) + 3|) - 3)) - 1) - 5 and g(x) = 3(3|((2(3|x + 3| + 3) - 3)/(-1(3|x + 3| + 3) + 2)) - 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 rightmost x-coordinate where f(x) = 3((1(3|((2(-1x^2 + 3x + 2) + 2)/(-2(-1x^2 + 3x + 2) - 2)) - 2| + 3) + 3)/(-1(3|((2(-1x^2 + 3x + 2) + 2)/(-2(-1x^2 + 3x + 2) - 2)) - 2| + 3) + 3)) + 1 and g(x) = (-3(-2|(1((3x)/(2x + 3)) + 3) + 1| + 2) - 2)/(-1(-2|(1((3x)/(2x + 3)) + 3) + 1| + 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|(5((-2x - 1)/(-1x + 2)) - 4) - 3| - 1) + 4) - 3)/(2(2(-1|(5((-2x - 1)/(-1x + 2)) - 4) - 3| - 1) + 4) - 3) and g(x) = 1(-1(1|(1x^2 + 4x + 3) + 2| - 1)^2 + 1(1|(1x^2 + 4x + 3) + 2| - 1) - 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 rightmost x-coordinate where f(x) = -2(5(3(5(-3|x + 3| - 1) - 1)^2 - 4(5(-3|x + 3| - 1) - 1) + 2)^2 + 2(3(5(-3|x + 3| - 1) - 1)^2 - 4(5(-3|x + 3| - 1) - 1) + 2) + 5) + 5 and g(x) = -3(3(-3(-3|x - 1| - 2)^2 - 4(-3|x - 1| - 2) + 3) - 3)^2 - 5(3(-3(-3|x - 1| - 2)^2 - 4(-3|x - 1| - 2) + 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(1(4((-3((-1x + 3)/(-2x - 2)))/(-1((-1x + 3)/(-2x - 2)) - 3))^2 + 3((-3((-1x + 3)/(-2x - 2)))/(-1((-1x + 3)/(-2x - 2)) - 3)) - 5)^2 + 2(4((-3((-1x + 3)/(-2x - 2)))/(-1((-1x + 3)/(-2x - 2)) - 3))^2 + 3((-3((-1x + 3)/(-2x - 2)))/(-1((-1x + 3)/(-2x - 2)) - 3)) - 5) - 4) and g(x) = (-3(-1(1e^(-2(2x^2 + 3x + 2)) - 2) - 3) + 2)/(2(-1(1e^(-2(2x^2 + 3x + 2)) - 2) - 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(3(-2(-5(1x + 1)^2 - 2(1x + 1) - 3)) - 1) + 1)/(3(3(-2(-5(1x + 1)^2 - 2(1x + 1) - 3)) - 1) - 2) and g(x) = -1(1((1(-1e^(1x) + 3) - 2)/(1(-1e^(1x) + 3) + 3))^2 + 4((1(-1e^(1x) + 3) - 2)/(1(-1e^(1x) + 3) + 3))) + 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) = -2|((-2((-2(-1cos(2π(-4x - 4)) - 3) + 2)/(1(-1cos(2π(-4x - 4)) - 3))) - 1)/(2((-2(-1cos(2π(-4x - 4)) - 3) + 2)/(1(-1cos(2π(-4x - 4)) - 3))) + 3)) + 3| - 2 and g(x) = -3((-1((-3((-2x - 2)/(-3x + 4)) + 1)/(-3((-2x - 2)/(-3x + 4)) - 1)) - 3)/(2((-3((-2x - 2)/(-3x + 4)) + 1)/(-3((-2x - 2)/(-3x + 4)) - 1)) + 1))^2 + 4((-1((-3((-2x - 2)/(-3x + 4)) + 1)/(-3((-2x - 2)/(-3x + 4)) - 1)) - 3)/(2((-3((-2x - 2)/(-3x + 4)) + 1)/(-3((-2x - 2)/(-3x + 4)) - 1)) + 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) = -2cos(3π((-2(-2|(-3(-2x^2 - 5)^2 + 5(-2x^2 - 5) + 3) + 3| + 2) + 2)/(-1(-2|(-3(-2x^2 - 5)^2 + 5(-2x^2 - 5) + 3) + 3| + 2) + 2)) - 1) - 2 and g(x) = 1(4((-2(1x + 4) + 3)/(1(1x + 4) - 3))^2 - 4((-2(1x + 4) + 3)/(1(1x + 4) - 3)) + 1)^2 - 2(4((-2(1x + 4) + 3)/(1(1x + 4) - 3))^2 - 4((-2(1x + 4) + 3)/(1(1x + 4) - 3)) + 1) - 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) = 4(5(-2|(-1(-1x - 5)^2 + 2(-1x - 5) + 1) + 1| + 2) - 2)^2 - 5 and g(x) = 2sin(3π(-3(3(3|x + 1| - 1)^2 + 5(3|x + 1| - 1) + 1)^2 + 2(3(3|x + 1| - 1)^2 + 5(3|x + 1| - 1) + 1) + 2) + 1) + 1 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) = 3(-1|(-5(1|(-1x + 3) + 3| - 2) - 1) - 3| + 1)^2 - 5(-1|(-5(1|(-1x + 3) + 3| - 2) - 1) - 3| + 1) + 4 and g(x) = 2|(-2(-3(-4x - 1)^2 - 3(-4x - 1) + 4)) + 1| + 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) = -5((-2(-4(-2(-3|x - 1| + 1)^2 + 5(-3|x - 1| + 1) + 4) + 5))/(2(-4(-2(-3|x - 1| + 1)^2 + 5(-3|x - 1| + 1) + 4) + 5) + 2)) + 1 and g(x) = (2(-2|((3(-3|x + 2| - 2) - 2)/(1(-3|x + 2| - 2) + 2)) - 2| + 2) - 3)/(-1(-2|((3(-3|x + 2| - 2) - 2)/(1(-3|x + 2| - 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]
If you add up all the x-coordinates where the functions f(x) = -5((-2(3(-2|(-2x - 3) - 2| + 2)^2 - 5(-2|(-2x - 3) - 2| + 2) - 4))/(1(3(-2|(-2x - 3) - 2| + 2)^2 - 5(-2|(-2x - 3) - 2| + 2) - 4) + 1)) - 1 and g(x) = (3((1(2|(1x^2 - 3x - 1) + 3| + 3))/(3(2|(1x^2 - 3x - 1) + 3| + 3) + 2)) - 3)/(2((1(2|(1x^2 - 3x - 1) + 3| + 3))/(3(2|(1x^2 - 3x - 1) + 3| + 3) + 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 integer closest to the smallest x-value where the functions f(x) = -2(-1(3|(-2e^(-2((-1x - 2)/(-3x)))) + 1| - 3) - 2)^2 + 1(-1(3|(-2e^(-2((-1x - 2)/(-3x)))) + 1| - 3) - 2) + 3 and g(x) = (-3((-3((-1(2x^2 - 3x + 5))/(-3(2x^2 - 3x + 5) + 2)) - 1)/(-3((-1(2x^2 - 3x + 5))/(-3(2x^2 - 3x + 5) + 2)) - 3)) + 3)/(1((-3((-1(2x^2 - 3x + 5))/(-3(2x^2 - 3x + 5) + 2)) - 1)/(-3((-1(2x^2 - 3x + 5))/(-3(2x^2 - 3x + 5) + 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) = -2|((-2(2sin(2π(-3(-5x^2 - 5)) + 1)) + 2)/(3(2sin(2π(-3(-5x^2 - 5)) + 1)) + 2)) - 2| + 2 and g(x) = 2sin(3π(-1(4(4x^2 + 2x)^2 + 4(4x^2 + 2x) + 2)^2 + 5(4(4x^2 + 2x)^2 + 4(4x^2 + 2x) + 2) + 2) + 2) + 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) = 1(5(-1(1(-5x^2 + 3x)^2 - 4(-5x^2 + 3x) + 2) + 4) - 5) + 4 and g(x) = 1(-2(3(1|x - 1| - 3) - 5)^2 + 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 leftmost x-coordinate where f(x) = -2|(2((1(1(-5x - 2)^2 + 1(-5x - 2) + 3) - 2)/(3(1(-5x - 2)^2 + 1(-5x - 2) + 3)))^2 + 3((1(1(-5x - 2)^2 + 1(-5x - 2) + 3) - 2)/(3(1(-5x - 2)^2 + 1(-5x - 2) + 3))) + 1)| + 1 and g(x) = (-1((-2(1(3x + 2)^2 - 5(3x + 2) - 2) - 3)/(1(1(3x + 2)^2 - 5(3x + 2) - 2))) + 3)/(-1((-2(1(3x + 2)^2 - 5(3x + 2) - 2) - 3)/(1(1(3x + 2)^2 - 5(3x + 2) - 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) = (-3(-3|((1(-5(2x + 1)^2 + 5(2x + 1) + 3) - 1)/(-2(-5(2x + 1)^2 + 5(2x + 1) + 3) - 3)) + 2| + 2) - 2)/(3(-3|((1(-5(2x + 1)^2 + 5(2x + 1) + 3) - 1)/(-2(-5(2x + 1)^2 + 5(2x + 1) + 3) - 3)) + 2| + 2) - 2) and g(x) = -1e^(1(1|(1(-3|x - 3| + 3) - 3) + 2| - 2)) + 1 in the interval [-10, 10], rounded to the nearest integer.

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(5(-1|(5x^2 - 2x + 5) - 1| + 2)^2 - 4(-1|(5x^2 - 2x + 5) - 1| + 2) + 2) - 1)/(1(5(-1|(5x^2 - 2x + 5) - 1| + 2)^2 - 4(-1|(5x^2 - 2x + 5) - 1| + 2) + 2)))^2 - 4((-3(5(-1|(5x^2 - 2x + 5) - 1| + 2)^2 - 4(-1|(5x^2 - 2x + 5) - 1| + 2) + 2) - 1)/(1(5(-1|(5x^2 - 2x + 5) - 1| + 2)^2 - 4(-1|(5x^2 - 2x + 5) - 1| + 2) + 2))) + 3 and g(x) = 3|(-3e^(1(-1|(-3x + 5) + 2| + 3)) + 2) - 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) = -5(-5((2(2((-3x - 1)/(3x - 1)) - 1) - 1)/(-1(2((-3x - 1)/(3x - 1)) - 1) - 2)) - 2) + 5 and g(x) = -1((-3(3(-1cos(1πx + 1) + 2)^2 - 3(-1cos(1πx + 1) + 2) - 1) - 2)/(3(3(-1cos(1πx + 1) + 2)^2 - 3(-1cos(1πx + 1) + 2) - 1) + 2)) - 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) = 2|(3(-1(-2sin(1π(3|x - 1|) + 1) + 3)^2 + 5(-2sin(1π(3|x - 1|) + 1) + 3))) + 1| - 1 and g(x) = 1((-2((-2((1x)/(3x - 2)) - 1)/(1((1x)/(3x - 2)) + 3)) + 3)/(3((-2((1x)/(3x - 2)) - 1)/(1((1x)/(3x - 2)) + 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) = 3|(2|((-1(-3|(2sin(2πx + 2)) - 3| - 3) + 1)/(1(-3|(2sin(2πx + 2)) - 3| - 3) - 2)) - 2| - 3) - 1| + 3 and g(x) = (-1(1(4(-4x^2 - 5x + 2)^2 - 4(-4x^2 - 5x + 2) - 4)^2 - 4(4(-4x^2 - 5x + 2)^2 - 4(-4x^2 - 5x + 2) - 4) - 4))/(-1(1(4(-4x^2 - 5x + 2)^2 - 4(-4x^2 - 5x + 2) - 4)^2 - 4(4(-4x^2 - 5x + 2)^2 - 4(-4x^2 - 5x + 2) - 4) - 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) = -3((2(4((3(3x - 3) - 2)/(2(3x - 3) + 1))^2 - 5((3(3x - 3) - 2)/(2(3x - 3) + 1)) + 4))/(2(4((3(3x - 3) - 2)/(2(3x - 3) + 1))^2 - 5((3(3x - 3) - 2)/(2(3x - 3) + 1)) + 4) - 3))^2 + 3((2(4((3(3x - 3) - 2)/(2(3x - 3) + 1))^2 - 5((3(3x - 3) - 2)/(2(3x - 3) + 1)) + 4))/(2(4((3(3x - 3) - 2)/(2(3x - 3) + 1))^2 - 5((3(3x - 3) - 2)/(2(3x - 3) + 1)) + 4) - 3)) + 1 and g(x) = -5(-1|(-2|((3x + 1)/(2x - 1))| - 1) + 3| + 3) - 5 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(-3(-1e^(-1(1x + 3)) + 2) - 1) + 1)| - 1 and g(x) = -2((3(1sin(1π(2x^2 + 5x + 4) - 3) + 2) - 1)/(3(1sin(1π(2x^2 + 5x + 4) - 3) + 2) + 3))^2 + 1((3(1sin(1π(2x^2 + 5x + 4) - 3) + 2) - 1)/(3(1sin(1π(2x^2 + 5x + 4) - 3) + 2) + 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((-3((-2(-1(-2x^2 + 2x - 5)^2 - 2(-2x^2 + 2x - 5) - 2) + 3)/(-2(-1(-2x^2 + 2x - 5)^2 - 2(-2x^2 + 2x - 5) - 2) + 3)) + 2)/(2((-2(-1(-2x^2 + 2x - 5)^2 - 2(-2x^2 + 2x - 5) - 2) + 3)/(-2(-1(-2x^2 + 2x - 5)^2 - 2(-2x^2 + 2x - 5) - 2) + 3)) + 1)) - 2 and g(x) = (-2(-1(1|((-2x - 1)/(2x)) - 2| - 3) + 2))/(-3(-1(1|((-2x - 1)/(2x)) - 2| - 3) + 2) + 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(4(-1|(2|((1x + 3)/(-3x - 2)) + 1|)|) - 4) - 4 and g(x) = -1|(5((3((-3x + 3)/(-1x - 3)) - 2)/(2((-3x + 3)/(-1x - 3)) + 1))^2 + 1((3((-3x + 3)/(-1x - 3)) - 2)/(2((-3x + 3)/(-1x - 3)) + 1))) - 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) = -5((2((1(1(1|x + 1| - 3) - 5) + 2)/(3(1(1|x + 1| - 3) - 5) + 3)) - 1)/(3((1(1(1|x + 1| - 3) - 5) + 2)/(3(1(1|x + 1| - 3) - 5) + 3)) + 1)) + 1 and g(x) = 4(3((-2(2e^(2x) + 1) + 2)/(1(2e^(2x) + 1) + 2)))^2 + 5(3((-2(2e^(2x) + 1) + 2)/(1(2e^(2x) + 1) + 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) = 2|(-2|((-1((-3(1|x + 1| + 1) - 2)/(3(1|x + 1| + 1) + 2)) + 1)/(3((-3(1|x + 1| + 1) - 2)/(3(1|x + 1| + 1) + 2)))) + 3| + 3) + 2| + 3 and g(x) = 5(3((-2(-1|x - 1| + 1) - 1)/(3(-1|x - 1| + 1))) + 4) + 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|(3|((2((3x + 3)/(-1x + 2)) + 3)/(-3((3x + 3)/(-1x + 2)) - 1)) + 3| + 3) - 3|) + 2| - 1 and g(x) = -4(1|(-3e^(-2(-1x^2 - 5x - 3))) + 2| - 2) - 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|(-5((-1(-2cos(2π(-2|x - 2| - 1) - 3) - 3) + 1)/(-3(-2cos(2π(-2|x - 2| - 1) - 3) - 3) - 1))^2 - 2((-1(-2cos(2π(-2|x - 2| - 1) - 3) - 3) + 1)/(-3(-2cos(2π(-2|x - 2| - 1) - 3) - 3) - 1)) - 1) + 1| - 2 and g(x) = -2|(2e^(-2(2(-1|x|) + 1)) + 1) - 1| + 1 meet in the interval [-10, 10]?

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