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

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


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

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


[User]
At what integer value (rounded) do the functions f(x) = 3|(-2sin(3πx + 1)) + 3| + 3 and g(x) = (-2x)/(-3x - 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(1cos(2πx + 1) - 1) - 1 and g(x) = (-2x + 3)/(-3x - 1) intersect in the range -10 ≤ x ≤ 10.

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
If you add up all the x-coordinates where the functions f(x) = 4((2x - 1)/(2x + 1))^2 - 2((2x - 1)/(2x + 1)) - 2 and g(x) = -2|x + 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 leftmost x-coordinate where f(x) = -2e^(1(2x^2 + 4x + 1)) - 2 and g(x) = 5x - 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) = -4(-2|x + 2| - 3)^2 + 3 and g(x) = (-3x + 1)/(-1x - 1) intersect in the range -10 ≤ x ≤ 10.

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


[User]
If you add up all the x-coordinates where the functions f(x) = 3|(-3sin(1πx - 1) + 3)| - 2 and g(x) = -2|x - 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 second intersection point (counting from left to right) between the functions f(x) = (2(3|x| + 1))/(-1(3|x| + 1) - 3) and g(x) = 3|x - 1| - 3 in the interval [-10, 10], rounded to the nearest integer.

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


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

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


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

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


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

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


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

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


[User]
If you add up all the x-coordinates where the functions f(x) = 1|(5x + 3) + 2| + 1 and g(x) = -1x^2 - 4x + 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 smallest x-value where the functions f(x) = -3sin(1π(1|x + 3| - 3) - 3) + 2 and g(x) = 1x^2 + 5x + 1 meet in the interval [-10, 10].

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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


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

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