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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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

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

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

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

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

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

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

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

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


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

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

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

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

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

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

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

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

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

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

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


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

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


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

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