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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
At what integer value (rounded) do the functions f(x) = 2(-1(4(-1e^(2x) + 3) + 2) + 5) + 5 and g(x) = 3|(1(3|x - 1|)^2 - 1(3|x - 1|) - 1) - 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(2|(1cos(1π(-3|x + 1| - 3) - 1) + 3) + 2|) - 5 and g(x) = 2(4(-2|x| + 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 first x-coordinate (rounded to the nearest integer) where f(x) = 4(-3(2e^(1(-5x^2 - 3x - 3)) - 1))^2 + 2(-3(2e^(1(-5x^2 - 3x - 3)) - 1)) + 5 and g(x) = 3|(3|(-1sin(3πx + 3) - 2) - 1| + 1)| + 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|(1((-2(4x - 2) + 2)/(-1(4x - 2) + 2)) - 3)| - 1 and g(x) = -3(1e^(-2((-1x)/(-2x + 1))) - 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) = -1e^(2((-2(3|((1x)/(1x + 3)) + 3|) - 1)/(2(3|((1x)/(1x + 3)) + 3|) - 1))) + 3 and g(x) = -5(-1((-1x - 1)/(1x + 2))^2 - 4((-1x - 1)/(1x + 2)) + 3) - 3 meet in the interval [-10, 10]?

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


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

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


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

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


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

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


[User]
Find the integer value closest to the x-coordinate where f(x) = (2(2e^(-2((3((-1x - 3)/(-1x - 2)))/(3((-1x - 3)/(-1x - 2)) + 2))) - 1) + 2)/(-3(2e^(-2((3((-1x - 3)/(-1x - 2)))/(3((-1x - 3)/(-1x - 2)) + 2))) - 1)) and g(x) = 3|(1sin(1π((2x + 1)/(1x - 3)) + 1) + 3)| - 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) = -1|(-1(-3|((2x - 2)/(3x - 2)) - 3| - 2)^2 - 1(-3|((2x - 2)/(3x - 2)) - 3| - 2) + 4)| - 3 and g(x) = (1(-1(3x^2 + 2x + 1) + 2) + 3)/(2(-1(3x^2 + 2x + 1) + 2) - 1) meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


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

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


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

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


[User]
At what integer value (rounded) do the functions f(x) = -1sin(1π(-4((2(3|x - 3| - 3))/(-2(3|x - 3| - 3) - 1))^2 + 1((2(3|x - 3| - 3))/(-2(3|x - 3| - 3) - 1)) + 3) + 2) - 2 and g(x) = 3(-2|((2x)/(-1x - 3)) + 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 x-coordinate where the graphs of f(x) = -5((-2(2e^(2(-5x + 3)) - 1) + 2)/(-2(2e^(2(-5x + 3)) - 1) - 1)) - 2 and g(x) = 2|(-2|(-2x - 2) - 3| - 2) + 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) = 1|((-1(-3((-1x - 1)/(2x + 3)) - 4))/(2(-3((-1x - 1)/(2x + 3)) - 4) + 2)) - 3| - 2 and g(x) = -3((-3(1x - 1) - 1)/(-2(1x - 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 x-coordinate where the graphs of f(x) = 1(1(3(-5x - 2)^2 + 4(-5x - 2))^2 + 1(3(-5x - 2)^2 + 4(-5x - 2))) + 5 and g(x) = (-3((-3((-2x + 1)/(-1x - 3)) - 2)/(2((-2x + 1)/(-1x - 3)) + 3)) - 3)/(2((-3((-2x + 1)/(-1x - 3)) - 2)/(2((-2x + 1)/(-1x - 3)) + 3)) - 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(3((-3x + 1)/(-3x - 1)) + 3) + 1) - 2| - 3 and g(x) = 3(3|(1x^2 - 1x - 1)| + 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) = (1(-5(-1(1|x + 2| + 3))^2 + 4(-1(1|x + 2| + 3)) + 1) - 1)/(1(-5(-1(1|x + 2| + 3))^2 + 4(-1(1|x + 2| + 3)) + 1) - 2) and g(x) = 2cos(3π((-3(-3|x + 2| - 2) + 1)/(3(-3|x + 2| - 2) + 1)) + 3) + 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(1(-2x + 3)^2 - 5(-2x + 3) - 5) + 4) - 2 and g(x) = -3sin(3π((3(-3x - 1) - 1)/(3(-3x - 1))) - 3) - 1 in the interval [-10, 10], rounded to the nearest integer.

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Round to the nearest integer: what is the x-coordinate where the graphs of f(x) = -2|(4(-1(2x^2 - 5x + 4) - 2)^2 - 4(-1(2x^2 - 5x + 4) - 2) - 2) - 1| - 1 and g(x) = -1|(-4(2x^2 + 4x - 3)^2 - 2(2x^2 + 4x - 3) - 4) + 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) = 3cos(2π((-1((-2(1|x + 1|) - 1)/(3(1|x + 1|) - 1)) - 1)/(-3((-2(1|x + 1|) - 1)/(3(1|x + 1|) - 1)))) - 3) - 3 and g(x) = -1(-3((-1x + 2)/(1x + 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 largest x-value where the functions f(x) = (-3(-1(-3|((-1x + 1)/(-1x - 3)) + 3| - 3) - 5) - 1)/(2(-1(-3|((-1x + 1)/(-1x - 3)) + 3| - 3) - 5)) and g(x) = 3(-1|(4x + 2) + 1| + 2)^2 + 2(-1|(4x + 2) + 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(3((-1(-1x^2 - 1x - 3) - 3)/(1(-1x^2 - 1x - 3) - 3))^2 + 2((-1(-1x^2 - 1x - 3) - 3)/(1(-1x^2 - 1x - 3) - 3)) - 4) - 3 and g(x) = (2(1(1x^2 + 2x + 1)^2 + 1(1x^2 + 2x + 1) - 5) + 1)/(-3(1(1x^2 + 2x + 1)^2 + 1(1x^2 + 2x + 1) - 5) + 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(-4(5((-2x - 1)/(1x + 2))^2 + 4((-2x - 1)/(1x + 2)) - 2)^2 + 2(5((-2x - 1)/(1x + 2))^2 + 4((-2x - 1)/(1x + 2)) - 2) + 1) + 2 and g(x) = -3|(4(3e^(1x) - 1) - 4) - 2| - 1 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(-1(2((3x - 1)/(3x))^2 + 2((3x - 1)/(3x)) - 4) - 5)^2 + 2(-1(2((3x - 1)/(3x))^2 + 2((3x - 1)/(3x)) - 4) - 5) - 5 and g(x) = -1|(-1cos(2π(2|x + 3| - 1) - 1) + 1) + 3| + 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 second x-coordinate (rounded to the nearest integer) where f(x) = 1(3(2(5x - 2)^2 - 1(5x - 2) - 1) - 1) and g(x) = (-3(2|(-2x^2 - 2x) + 1| - 2) + 2)/(-1(2|(-2x^2 - 2x) + 1| - 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) = -1|(-3(2(-5x - 3) + 2)^2 + 5(2(-5x - 3) + 2) - 4) - 3| - 3 and g(x) = -1|(-1(-3|x - 3| - 1)^2 - 3(-3|x - 3| - 1) + 1) + 1| + 3 intersect in the interval [-10, 10].

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


[User]
If you add up all the x-coordinates where the functions f(x) = 1|(3(1|(3|x - 2|) + 2| + 2) + 5) - 1| + 3 and g(x) = 2(2|(-3x + 3) + 2| + 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]
Find the integer value closest to the x-coordinate where f(x) = -5(-2sin(1π(-2(-2|x| - 2) + 4) + 3) + 3)^2 - 4(-2sin(1π(-2(-2|x| - 2) + 4) + 3) + 3) + 5 and g(x) = (1((-3(1x - 3) + 3)/(3(1x - 3) + 1)) + 3)/(-2((-3(1x - 3) + 3)/(3(1x - 3) + 1)) + 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 leftmost x-coordinate where f(x) = 2|(1(3(-4x - 2) + 1) + 4) + 3| - 2 and g(x) = 2((-3((-2x - 1)/(1x + 2)) + 3)/(-1((-2x - 1)/(1x + 2)) + 3)) - 4 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(-3|(-1|x| - 1) - 3| - 1)^2 - 3(-3|(-1|x| - 1) - 3| - 1) - 1) + 3)/(-3(-3(-3|(-1|x| - 1) - 3| - 1)^2 - 3(-3|(-1|x| - 1) - 3| - 1) - 1)) and g(x) = 2|(1(-4x + 2) - 4) - 1| - 2 meet in the interval [-10, 10]?

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


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

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


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

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


[User]
Find the integer value closest to the x-coordinate where f(x) = -1(-3|(-5(-3e^(-1x) - 3) + 3) - 1| - 2)^2 + 3(-3|(-5(-3e^(-1x) - 3) + 3) - 1| - 2) - 5 and g(x) = -5(2(-1x + 3)^2 + 3(-1x + 3) + 4)^2 - 1(2(-1x + 3)^2 + 3(-1x + 3) + 4) + 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 leftmost x-coordinate where f(x) = 1(-1(-1(-1|x + 1| + 2) - 3)^2 + 3)^2 + 1(-1(-1(-1|x + 1| + 2) - 3)^2 + 3) + 2 and g(x) = 1e^(-1(1(-1|x + 2| + 2) + 2)) intersect in the interval [-10, 10]?

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


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

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


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

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


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

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


[User]
Round to the nearest integer: what is the leftmost x-coordinate where f(x) = -2((3(-1(-2x + 2) + 3) - 2)/(1(-1(-2x + 2) + 3)))^2 - 4((3(-1(-2x + 2) + 3) - 2)/(1(-1(-2x + 2) + 3))) + 2 and g(x) = (-2((2(-3x + 5) - 2)/(-2(-3x + 5) - 1)) - 1)/(2((2(-3x + 5) - 2)/(-2(-3x + 5) - 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) = -3(1(-2e^(2(-4x + 1)) + 1)^2 - 5(-2e^(2(-4x + 1)) + 1) - 1) + 2 and g(x) = 1(-1|(-4x^2 - 5x - 2) - 2| - 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 x-coordinate where the graphs of f(x) = 3(-2|(-2|((2x + 1)/(1x - 3)) + 2| - 1) - 1| + 1) + 4 and g(x) = -2|(-3|(3e^(-2x) + 1) + 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) = -1|(-1sin(3π(-3|(1x + 3) - 1| + 2) + 2) + 1) + 1| + 3 and g(x) = 2(-2|((-2x + 3)/(-3x + 4)) + 2|) + 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) = -3e^(-1(-1((-1((-3x - 3)/(-2x)) + 1)/(2((-3x - 3)/(-2x)))) + 1)) - 3 and g(x) = -2e^(-1(3(-2|x + 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) = -3|(3(1|(-2x^2 + 4x - 4) + 1| + 3)^2 - 5(1|(-2x^2 + 4x - 4) + 1| + 3) - 5) - 3| + 1 and g(x) = -1|((1(-3x^2 + 5x + 1) - 3)/(-3(-3x^2 + 5x + 1) + 2))| + 1 intersect in the range -10 ≤ x ≤ 10.

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
Round to the nearest integer: what is the leftmost x-coordinate where f(x) = 1sin(1π(5(1|(-1|x - 1| - 1) - 2| + 2) + 5) + 1) - 3 and g(x) = -3|(4(4x + 1) + 5) - 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|(5(-1(4x^2 - 2x - 3)^2 - 5(4x^2 - 2x - 3)) + 2) - 3| + 2 and g(x) = 5((-1(5x^2 + 4x - 2) - 2)/(1(5x^2 + 4x - 2) - 3)) - 5 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(2e^(2(3|(-4x + 1) - 3|)) - 1) - 4 and g(x) = 2sin(3π(-2(-3x - 2)^2 - 5(-3x - 2) - 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) = 4((-1(-4((3x + 1)/(1x + 2))^2) - 3)/(1(-4((3x + 1)/(1x + 2))^2)))^2 and g(x) = -3(-4(-2e^(-1x) - 2)^2 + 2(-2e^(-1x) - 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 smallest x-value where the functions f(x) = -3|(2cos(1π((2(1x^2 - 4x + 1) - 1)/(2(1x^2 - 4x + 1) - 1))) - 3) - 1| + 1 and g(x) = -5(-2((-3x - 1)/(2x - 1)) + 4)^2 - 2(-2((-3x - 1)/(2x - 1)) + 4) + 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|((-2(1(-1x - 5) - 3) - 2)/(-3(1(-1x - 5) - 3) + 4)) + 3| + 2 and g(x) = 1(1((1x)/(-1x + 2)) - 5) 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(-5((-1((1x + 3)/(1x)) - 3)/(1((1x + 3)/(1x)) + 2)) - 1))/(-2(-5((-1((1x + 3)/(1x)) - 3)/(1((1x + 3)/(1x)) + 2)) - 1) - 2) and g(x) = -1((-1(-1x^2 - 2x) - 2)/(-1(-1x^2 - 2x) + 3)) + 1 meet in the interval [-10, 10] and round to the nearest integer, what do you get?

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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