[User]
How many points of intersection exist between the functions f(x) = (2(4(-3(-3(-4x^2 - 5x - 4) + 5)^2 + 5(-3(-4x^2 - 5x - 4) + 5) + 1)^2 - 4(-3(-3(-4x^2 - 5x - 4) + 5)^2 + 5(-3(-4x^2 - 5x - 4) + 5) + 1) + 1) + 1)/(-1(4(-3(-3(-4x^2 - 5x - 4) + 5)^2 + 5(-3(-4x^2 - 5x - 4) + 5) + 1)^2 - 4(-3(-3(-4x^2 - 5x - 4) + 5)^2 + 5(-3(-4x^2 - 5x - 4) + 5) + 1) + 1) + 2) and g(x) = -3e^(-1(-3(-4(3|x - 2| - 1)^2 - 1(3|x - 2| - 1) + 1) + 2)) + 1 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = (-3(1(2(-5(-3x^2 + 3x + 3)^2 + 4(-3x^2 + 3x + 3))^2 - 5(-5(-3x^2 + 3x + 3)^2 + 4(-3x^2 + 3x + 3)) - 4) - 2) - 2)/(1(1(2(-5(-3x^2 + 3x + 3)^2 + 4(-3x^2 + 3x + 3))^2 - 5(-5(-3x^2 + 3x + 3)^2 + 4(-3x^2 + 3x + 3)) - 4) - 2) - 3) and g(x) = -2|(3e^(2(-1|(-3x + 5) + 1| + 1))) - 1| + 3 intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = (2(1(3|(-2sin(2π((3x)/(-3x - 2)) - 1) + 3)| - 1) + 3) + 2)/(-1(1(3|(-2sin(2π((3x)/(-3x - 2)) - 1) + 3)| - 1) + 3) - 2) and g(x) = -3(3(-5(2|x + 1| - 3)^2 + 4(2|x + 1| - 3) + 2) + 3) - 5 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation 2|(5(-1(3|(1x^2 - 3x + 2) - 1| + 2) + 4)^2 + 3(-1(3|(1x^2 - 3x + 2) - 1| + 2) + 4) - 5) - 3| + 1 = -1((-1(3(-4x - 4) - 3) - 1)/(1(3(-4x - 4) - 3) - 2)) + 5 have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = -1(-2|(3sin(2π(1|(4x^2 + 4x + 5) + 3|) - 2)) + 1| + 3) and g(x) = 1|(1(-3|(3x - 2) + 2| + 2) + 2) - 3| - 2 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation (1(1(5(-2(-2|x| + 2) - 1) + 4) + 3) - 1)/(1(1(5(-2(-2|x| + 2) - 1) + 4) + 3)) = (-2(3(-1|((-2x - 3)/(2x - 1)) + 3| + 2) - 3) - 2)/(2(3(-1|((-2x - 3)/(2x - 1)) + 3| + 2) - 3)) have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = 2(-4((-2(2|(1|x + 3| - 2) - 2| - 1) + 2)/(-3(2|(1|x + 3| - 2) - 2| - 1)))^2 + 5((-2(2|(1|x + 3| - 2) - 2| - 1) + 2)/(-3(2|(1|x + 3| - 2) - 2| - 1))) - 4) - 3 and g(x) = -3((-2(1((3x - 3)/(-1x - 1)) - 3) + 1)/(-1(1((3x - 3)/(-1x - 1)) - 3) - 2)) - 4 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = 2(3(3cos(2π(-1(2|x + 1|)^2 + 5(2|x + 1|) - 5) - 1) + 2)^2 - 3(3cos(2π(-1(2|x + 1|)^2 + 5(2|x + 1|) - 5) - 1) + 2) - 4) and g(x) = (-1(1|((2(2x^2 - 1x - 2) - 3)/(-2(2x^2 - 1x - 2))) + 1| + 1) + 2)/(-1(1|((2(2x^2 - 1x - 2) - 3)/(-2(2x^2 - 1x - 2))) + 1| + 1) - 3) where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation -3|(3|(1|(1cos(3π(5x) - 1) - 3) + 2| - 3) - 3|) - 2| - 2 = (-2(-2sin(1π(3((3x + 1)/(-2x - 3))^2 - 2((3x + 1)/(-2x - 3)) + 4) - 1) + 3) + 3)/(1(-2sin(1π(3((3x + 1)/(-2x - 3))^2 - 2((3x + 1)/(-2x - 3)) + 4) - 1) + 3) - 3) have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = 4(-1|(1|(-2|(-3|x - 2| + 1)|) + 2| - 1) - 2| - 1)^2 + 4(-1|(1|(-2|(-3|x - 2| + 1)|) + 2| - 1) - 2| - 1) - 4 and g(x) = (-3((1(2sin(2π(2|x + 3| - 1) + 1)) - 2)/(3(2sin(2π(2|x + 3| - 1) + 1)) + 1)) - 1)/(-2((1(2sin(2π(2|x + 3| - 1) + 1)) - 2)/(3(2sin(2π(2|x + 3| - 1) + 1)) + 1)) - 1) where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = -4(-1(-3(-1|(-5x - 2) + 2| + 3) - 1))^2 - 5(-1(-3(-1|(-5x - 2) + 2| + 3) - 1)) + 2 and g(x) = (-3((3(3(1|x - 2| - 2) + 3) + 2)/(3(3(1|x - 2| - 2) + 3) - 1)))/(3((3(3(1|x - 2| - 2) + 3) + 2)/(3(3(1|x - 2| - 2) + 3) - 1)) + 2) in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = (-1(-3cos(3π(2|((3(1x^2 - 5x) - 3)/(-1(1x^2 - 5x) - 2)) - 2| + 2) + 2) + 3) - 2)/(-3(-3cos(3π(2|((3(1x^2 - 5x) - 3)/(-1(1x^2 - 5x) - 2)) - 2| + 2) + 2) + 3) - 1) and g(x) = -1(2((-2(2|x| + 2) + 3)/(-2(2|x| + 2) - 3)) - 5) - 2 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = 2|(1(1|(1((1x - 2)/(2x))^2 + 2((1x - 2)/(2x)) - 4) + 2| + 1)) + 1| - 2 and g(x) = (2(-2(-1|(1sin(1πx - 1) + 3) - 2|)^2 + 4(-1|(1sin(1πx - 1) + 3) - 2|) - 1))/(-2(-2(-1|(1sin(1πx - 1) + 3) - 2|)^2 + 4(-1|(1sin(1πx - 1) + 3) - 2|) - 1) - 3) intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = -1(5(-1cos(2π(3(5x^2 - 4) + 3) + 3) - 2) - 3)^2 - 4(5(-1cos(2π(3(5x^2 - 4) + 3) + 3) - 2) - 3) - 2 and g(x) = -4(1sin(1π(-1|(3x + 4)| + 3) + 1) - 3)^2 - 1(1sin(1π(-1|(3x + 4)| + 3) + 1) - 3) + 1 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = 4(2|(-3(4((1x + 2)/(-2x + 1)) - 3)^2 + 5(4((1x + 2)/(-2x + 1)) - 3) + 4) - 1| - 1) - 5 and g(x) = -1sin(2π(-1((-2(5x^2 - 2x + 4))/(2(5x^2 - 2x + 4) + 1)) + 5) - 2) + 3 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation 1(-1|(-1|((-2((-2x)/(2x)) - 1)/(1((-2x)/(2x)) - 2)) - 3| + 2) - 2| + 3)^2 - 3(-1|(-1|((-2((-2x)/(2x)) - 1)/(1((-2x)/(2x)) - 2)) - 3| + 2) - 2| + 3) = 1(-1(-2cos(1π(-1x + 2) - 3) - 3)^2 + 1(-2cos(1π(-1x + 2) - 3) - 3) + 4)^2 - 2(-1(-2cos(1π(-1x + 2) - 3) - 3)^2 + 1(-2cos(1π(-1x + 2) - 3) - 3) + 4) - 3 have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation 1(1(1cos(1π((-1((1x)/(3x + 1)) + 3)/(1((1x)/(3x + 1)) + 2)) - 2) - 3))^2 - 3(1(1cos(1π((-1((1x)/(3x + 1)) + 3)/(1((1x)/(3x + 1)) + 2)) - 2) - 3)) - 2 = 1|(-3(3(-3x^2 + 2) + 2) + 4) + 2| - 1 have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = (1((2(5(-2(4x^2 + 4x - 2) - 5)^2 + 3(-2(4x^2 + 4x - 2) - 5) - 2) - 2)/(-3(5(-2(4x^2 + 4x - 2) - 5)^2 + 3(-2(4x^2 + 4x - 2) - 5) - 2) - 3)) + 2)/(-2((2(5(-2(4x^2 + 4x - 2) - 5)^2 + 3(-2(4x^2 + 4x - 2) - 5) - 2) - 2)/(-3(5(-2(4x^2 + 4x - 2) - 5)^2 + 3(-2(4x^2 + 4x - 2) - 5) - 2) - 3)) + 3) and g(x) = (1(-4(5(-1sin(2πx - 1) - 1) - 5) + 5) - 2)/(1(-4(5(-1sin(2πx - 1) - 1) - 5) + 5) + 2) in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = 1(-2|(2(-3(-3sin(2πx + 2) - 3) - 3)) + 3| - 1)^2 - 2(-2|(2(-3(-3sin(2πx + 2) - 3) - 3)) + 3| - 1) + 2 and g(x) = 5(1|((-2((-1x + 2)/(-1x + 2)) - 3)/(2((-1x + 2)/(-1x + 2)) - 3)) + 2|)^2 + 3(1|((-2((-1x + 2)/(-1x + 2)) - 3)/(2((-1x + 2)/(-1x + 2)) - 3)) + 2|) - 1 in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = -3|(2|(3(-4(3e^(1x))^2 + 5(3e^(1x)) + 5) - 3) - 3| - 1) + 2| + 1 and g(x) = -2(1|((2(-5x^2 - 5x - 1) + 1)/(-1(-5x^2 - 5x - 1) - 2)) + 2| - 1) - 4 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = 3(1|(-2|(2(2cos(3πx + 2))^2 - 3(2cos(3πx + 2))) + 2| + 2)| - 2)^2 + 5(1|(-2|(2(2cos(3πx + 2))^2 - 3(2cos(3πx + 2))) + 2| + 2)| - 2) - 5 and g(x) = 1sin(2π(-3(-2(-2|x - 3| + 2) - 4)^2 - 5(-2(-2|x - 3| + 2) - 4) - 2) - 1) - 3 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = (3(1(5(-2(-3sin(2πx - 2) + 1)^2 + 4(-3sin(2πx - 2) + 1) + 1) + 3) - 3) + 2)/(2(1(5(-2(-3sin(2πx - 2) + 1)^2 + 4(-3sin(2πx - 2) + 1) + 1) + 3) - 3) - 3) and g(x) = (2(1((1(-2x^2 - 4x) + 3)/(1(-2x^2 - 4x) + 1))^2 - 5) - 1)/(3(1((1(-2x^2 - 4x) + 3)/(1(-2x^2 - 4x) + 1))^2 - 5)) where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = 1|(-1(1e^(-1(3(4x)^2 - 1(4x) + 4)) - 1) - 1) + 1| + 3 and g(x) = 5(3sin(1π((-2(5x^2 - 3x - 3) - 2)/(2(5x^2 - 3x - 3) - 1)) + 3) + 3)^2 + 1(3sin(1π((-2(5x^2 - 3x - 3) - 2)/(2(5x^2 - 3x - 3) - 1)) + 3) + 3) + 2 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = (3(-5((-2(-3(2x - 4) + 4) + 1)/(2(-3(2x - 4) + 4)))^2 - 5((-2(-3(2x - 4) + 4) + 1)/(2(-3(2x - 4) + 4)))) - 3)/(3(-5((-2(-3(2x - 4) + 4) + 1)/(2(-3(2x - 4) + 4)))^2 - 5((-2(-3(2x - 4) + 4) + 1)/(2(-3(2x - 4) + 4))))) and g(x) = 3cos(1π(1(-4(-4x - 4))^2 - 3(-4(-4x - 4)) + 1) + 2) + 2 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = 1sin(3π(5(1(3|(2|x - 2| + 1)|) - 4) + 3) - 2) - 1 and g(x) = -3cos(2π(5((-1(-3x + 3))/(1(-3x + 3) + 2))^2 + 5((-1(-3x + 3))/(1(-3x + 3) + 2)) + 5) + 2) intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = 2sin(1π(-5((2((-3(4x + 4) - 1)/(2(4x + 4) + 2)) + 2)/(-2((-3(4x + 4) - 1)/(2(4x + 4) + 2)) - 3)) - 3) - 2) and g(x) = (-1(-5(-1((-2x + 2)/(3x + 3)) - 4)^2 + 1) + 1)/(-3(-5(-1((-2x + 2)/(3x + 3)) - 4)^2 + 1) - 1) in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation 2|(2|((3(-3(4x^2 - 3x) - 1) - 3)/(1(-3(4x^2 - 3x) - 1) + 2)) + 3| - 2) - 1| - 3 = 1(3sin(3π(-3(-1|x| - 2)^2 - 5(-1|x| - 2) + 3) + 2) + 2) - 2 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = -2|(-1(2(-4(3|x + 3| - 3)^2 - 2(3|x + 3| - 3) + 5)^2 - 3(-4(3|x + 3| - 3)^2 - 2(3|x + 3| - 3) + 5) - 4) - 5) + 2| + 1 and g(x) = -1|(-2|(-1|(1x + 5) + 1| - 2) + 1| - 1) + 3| + 1 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = 1((-3((1(-2cos(3π(-3x - 4) - 2) - 1) + 3)/(3(-2cos(3π(-3x - 4) - 2) - 1) + 2)) + 3)/(-2((1(-2cos(3π(-3x - 4) - 2) - 1) + 3)/(3(-2cos(3π(-3x - 4) - 2) - 1) + 2)) + 1)) and g(x) = (3(-1(4(3sin(3πx + 2) - 1) - 5)^2 + 4(4(3sin(3πx + 2) - 1) - 5) - 2) + 3)/(1(-1(4(3sin(3πx + 2) - 1) - 5)^2 + 4(4(3sin(3πx + 2) - 1) - 5) - 2) - 2) where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = 2sin(1π(3|(-1|(2(-5x + 3) - 5) - 1| - 2) + 2| - 1) + 3) + 3 and g(x) = 2|(-3|((3(4x^2 - 3x - 4) + 1)/(3(4x^2 - 3x - 4) - 1)) + 1| + 2)| + 1 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = (-1(2e^(1(-3|((-1(-1x - 2) - 1)/(-2(-1x - 2) + 3)) - 3| + 2)) - 3) - 2)/(-2(2e^(1(-3|((-1(-1x - 2) - 1)/(-2(-1x - 2) + 3)) - 3| + 2)) - 3) + 3) and g(x) = 1(2cos(2π(2|(-3|x|)| - 2) - 1) + 1)^2 - 4(2cos(2π(2|(-3|x|)| - 2) - 1) + 1) + 2 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation 5(-3|((-3(3|((-3x)/(1x + 1))| - 2) - 1)/(-3(3|((-3x)/(1x + 1))| - 2))) + 1| + 3) + 5 = 2(-4(-1|(-2|x + 2| + 2) + 3|)^2 - 1(-1|(-2|x + 2| + 2) + 3|) + 1) + 2 have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation 3|(-1(-5(-1(-5x + 2)))^2 - 1(-5(-1(-5x + 2))) - 1)| + 3 = 1((-3(1(3sin(2πx - 1) + 2)^2 + 4(3sin(2πx - 1) + 2) + 5) - 2)/(-1(1(3sin(2πx - 1) + 2)^2 + 4(3sin(2πx - 1) + 2) + 5) + 3))^2 + 2((-3(1(3sin(2πx - 1) + 2)^2 + 4(3sin(2πx - 1) + 2) + 5) - 2)/(-1(1(3sin(2πx - 1) + 2)^2 + 4(3sin(2πx - 1) + 2) + 5) + 3)) + 3 have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation (-3(3e^(-2(-2(4(-3x + 3)^2 - 5(-3x + 3) - 3) - 2)) - 2))/(-3(3e^(-2(-2(4(-3x + 3)^2 - 5(-3x + 3) - 3) - 2)) - 2) - 1) = 2(4(-2|(2cos(1πx + 2) - 3) + 1|)^2 + 2(-2|(2cos(1πx + 2) - 3) + 1|) - 3) + 4 have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = 1|(-4(-1(-2|(2|x - 2| - 2) - 2| - 1) - 3)^2 + 1(-1(-2|(2|x - 2| - 2) - 2| - 1) - 3) + 3) + 1| - 2 and g(x) = -2((-2(1(2sin(3πx + 1) + 1) + 5) - 1)/(1(1(2sin(3πx + 1) + 1) + 5) + 3)) - 3 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = -5(-1(2sin(1π(-3|(4x^2 + 3x - 3) + 1| + 2)) + 2)^2 + 3(2sin(1π(-3|(4x^2 + 3x - 3) + 1| + 2)) + 2) + 4) + 4 and g(x) = -2e^(-2((-1((2(-3|x - 2| - 3))/(-3(-3|x - 2| - 3) + 1)))/(2((2(-3|x - 2| - 3))/(-3(-3|x - 2| - 3) + 1)) - 1))) - 1 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = 4(3cos(3π(3|(-1|((-3x - 3)/(-1x + 2)) + 3| + 2) - 2| + 1) + 1) + 2) - 2 and g(x) = (1(3|(2|(1|x - 2| + 2)| - 2) - 3| + 1) - 3)/(-3(3|(2|(1|x - 2| + 2)| - 2) - 3| + 1) + 2) intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = -2|(-3|(-5(-1(2cos(3πx + 3) + 1) + 1) + 3) + 3|) + 3| + 2 and g(x) = 3|(3sin(3π(-5((2x - 1)/(-2x + 3))^2 - 1((2x - 1)/(-2x + 3)) - 2) - 3) - 1)| - 3 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = -5(-3(2|(-5(1|x - 3| - 1)^2 + 2) + 2| - 3)^2 + 4)^2 + 5(-3(2|(-5(1|x - 3| - 1)^2 + 2) + 2| - 3)^2 + 4) + 4 and g(x) = -2|(-4(-2|(-4x^2 + 3) + 2| + 1) + 3)| + 1 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = -1(3|(-1|(5(3e^(2x) - 1) - 3) - 2| + 3) - 2| + 2) + 3 and g(x) = 2sin(3π((2((-1(1|x - 1| - 3) - 2)/(2(1|x - 1| - 3) + 2)) - 1)/(-2((-1(1|x - 1| - 3) - 2)/(2(1|x - 1| - 3) + 2)))) - 2) - 2 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = -3|(2(1(-1|(3x - 1) - 1|) + 2) + 4) - 1| - 2 and g(x) = -3|((-1(-2|((1x + 2)/(-1x - 2)) + 2| - 2) + 1)/(2(-2|((1x + 2)/(-1x - 2)) + 2| - 2) + 3)) - 2| - 2 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = -3(5(-3(-2sin(3π(-2x^2 + 1x + 4) + 3) + 3) + 4)^2 + 3(-3(-2sin(3π(-2x^2 + 1x + 4) + 3) + 3) + 4) - 1)^2 + 5(5(-3(-2sin(3π(-2x^2 + 1x + 4) + 3) + 3) + 4)^2 + 3(-3(-2sin(3π(-2x^2 + 1x + 4) + 3) + 3) + 4) - 1) and g(x) = -3(2|(-2(-1|x + 3| - 3)^2 + 3(-1|x + 3| - 3) + 3)| + 3) + 4 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = (-1(2cos(2π(-3|((-2(-4x^2 + 2x + 5) + 1)/(1(-4x^2 + 2x + 5) + 3)) - 3| + 2) + 1)) + 3)/(-3(2cos(2π(-3|((-2(-4x^2 + 2x + 5) + 1)/(1(-4x^2 + 2x + 5) + 3)) - 3| + 2) + 1)) + 2) and g(x) = -1|(2(-3(-1x + 1) - 1)^2 - 2(-3(-1x + 1) - 1) - 4) - 1| + 1 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation -2((-2(2cos(1π(2(-3x^2 + 5x - 2)^2 - 2(-3x^2 + 5x - 2) - 2) + 3) - 1) - 2)/(-2(2cos(1π(2(-3x^2 + 5x - 2)^2 - 2(-3x^2 + 5x - 2) - 2) + 3) - 1) + 3))^2 + 4((-2(2cos(1π(2(-3x^2 + 5x - 2)^2 - 2(-3x^2 + 5x - 2) - 2) + 3) - 1) - 2)/(-2(2cos(1π(2(-3x^2 + 5x - 2)^2 - 2(-3x^2 + 5x - 2) - 2) + 3) - 1) + 3)) = 3sin(2π(1(3((1x - 3)/(3x + 3))^2 - 5((1x - 3)/(3x + 3)) + 2)^2 + 2(3((1x - 3)/(3x + 3))^2 - 5((1x - 3)/(3x + 3)) + 2) + 4)) - 2 have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = -3|(-5((1(1sin(2π(5x + 2) - 1) + 2))/(-2(1sin(2π(5x + 2) - 1) + 2) - 1)) - 3) - 1| - 3 and g(x) = 1(2(-2sin(1π((2x)/(2x - 3)) - 2) - 3) - 2) - 1 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = -4((-2(2cos(2π(-2(-5x + 5)^2 - 4(-5x + 5) - 2) - 1) - 3) + 3)/(-1(2cos(2π(-2(-5x + 5)^2 - 4(-5x + 5) - 2) - 1) - 3) + 2))^2 + 1((-2(2cos(2π(-2(-5x + 5)^2 - 4(-5x + 5) - 2) - 1) - 3) + 3)/(-1(2cos(2π(-2(-5x + 5)^2 - 4(-5x + 5) - 2) - 1) - 3) + 2)) - 2 and g(x) = -5(3|(-2sin(3π(-1x^2 - 2x - 3) + 1) - 1) - 2| - 3) intersect in the interval [-10, 10].

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[User]
How many solutions does the equation 3(-5(2|(-5(3sin(2πx + 2) - 2)^2 + 1(3sin(2πx + 2) - 2)) + 2| - 1)^2 + 2(2|(-5(3sin(2πx + 2) - 2)^2 + 1(3sin(2πx + 2) - 2)) + 2| - 1) + 2) - 1 = 1|((3(2(3x^2)^2 - 1(3x^2) + 4) + 1)/(-2(2(3x^2)^2 - 1(3x^2) + 4) - 3)) + 2| have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = (-3(-1(2sin(3π((2((1x + 2)/(3x)))/(1((1x + 2)/(3x)) + 1)) - 1) - 3)^2 + 4(2sin(3π((2((1x + 2)/(3x)))/(1((1x + 2)/(3x)) + 1)) - 1) - 3) - 4) - 2)/(2(-1(2sin(3π((2((1x + 2)/(3x)))/(1((1x + 2)/(3x)) + 1)) - 1) - 3)^2 + 4(2sin(3π((2((1x + 2)/(3x)))/(1((1x + 2)/(3x)) + 1)) - 1) - 3) - 4)) and g(x) = -2cos(3π((-3(1|(-1x^2 + 4x - 1) + 3| + 2) + 3)/(-1(1|(-1x^2 + 4x - 1) + 3| + 2) - 3)) - 3) - 3 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = 1(1cos(3π(2|((-2((-1x + 1)/(2x - 1)) - 3)/(2((-1x + 1)/(2x - 1)) + 2)) - 3| + 1) - 3) - 2)^2 - 1(1cos(3π(2|((-2((-1x + 1)/(2x - 1)) - 3)/(2((-1x + 1)/(2x - 1)) + 2)) - 3| + 1) - 3) - 2) + 1 and g(x) = 3|(-3sin(2π(3(4x - 5)^2 + 1(4x - 5) - 1) + 1)) - 2| - 2 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = 1((-2(2|(3(5x^2 + 4x - 2) + 4) - 1| - 2) - 3)/(-1(2|(3(5x^2 + 4x - 2) + 4) - 1| - 2) + 3)) and g(x) = 4(-1(4(-1sin(1πx - 1) - 1)^2 + 5(-1sin(1πx - 1) - 1) - 5)^2 - 3(4(-1sin(1πx - 1) - 1)^2 + 5(-1sin(1πx - 1) - 1) - 5)) + 2 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = (2(3(2|((-1(-1|x + 2| + 2) + 1)/(2(-1|x + 2| + 2) + 2)) - 1| + 1)^2 - 3(2|((-1(-1|x + 2| + 2) + 1)/(2(-1|x + 2| + 2) + 2)) - 1| + 1) + 2) + 1)/(-1(3(2|((-1(-1|x + 2| + 2) + 1)/(2(-1|x + 2| + 2) + 2)) - 1| + 1)^2 - 3(2|((-1(-1|x + 2| + 2) + 1)/(2(-1|x + 2| + 2) + 2)) - 1| + 1) + 2) - 3) and g(x) = -1|((-1(3(3cos(1πx + 3))^2 - 4(3cos(1πx + 3)) - 1) - 3)/(2(3(3cos(1πx + 3))^2 - 4(3cos(1πx + 3)) - 1) + 3)) + 1| + 1 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = -1(1cos(2π(-1(-2|(-4x + 2) + 1|) - 2) - 2) - 3) - 2 and g(x) = 3cos(1π(3|(3(-2|x + 1|) - 1) + 1| - 2) + 3) + 1 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = (-1((1(2e^(1((2(-5x - 2) + 2)/(-1(-5x - 2) + 2)))) - 2)/(2(2e^(1((2(-5x - 2) + 2)/(-1(-5x - 2) + 2)))) - 1)) - 2)/(1((1(2e^(1((2(-5x - 2) + 2)/(-1(-5x - 2) + 2)))) - 2)/(2(2e^(1((2(-5x - 2) + 2)/(-1(-5x - 2) + 2)))) - 1))) and g(x) = 2(-3|(-3|(5x^2 - 3x - 3) + 3| + 2) + 2| + 2)^2 + 5(-3|(-3|(5x^2 - 3x - 3) + 3| + 2) + 2| + 2) + 1 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = 3|(-1cos(1π(2|(3|(-3x^2 + 4x - 3)| + 3) + 2| + 2) + 1) + 2) + 1| - 3 and g(x) = 2|((2(2(2x + 1)^2 - 1(2x + 1) + 2) + 3)/(1(2(2x + 1)^2 - 1(2x + 1) + 2) - 2))| - 1 intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = -5((2((-3((-3(5x^2 - 5x - 4))/(-3(5x^2 - 5x - 4) + 1)) + 2)/(1((-3(5x^2 - 5x - 4))/(-3(5x^2 - 5x - 4) + 1)) - 2)) - 1)/(-1((-3((-3(5x^2 - 5x - 4))/(-3(5x^2 - 5x - 4) + 1)) + 2)/(1((-3(5x^2 - 5x - 4))/(-3(5x^2 - 5x - 4) + 1)) - 2)) - 2))^2 - 5((2((-3((-3(5x^2 - 5x - 4))/(-3(5x^2 - 5x - 4) + 1)) + 2)/(1((-3(5x^2 - 5x - 4))/(-3(5x^2 - 5x - 4) + 1)) - 2)) - 1)/(-1((-3((-3(5x^2 - 5x - 4))/(-3(5x^2 - 5x - 4) + 1)) + 2)/(1((-3(5x^2 - 5x - 4))/(-3(5x^2 - 5x - 4) + 1)) - 2)) - 2)) + 4 and g(x) = 1|(5(3sin(3π(-4x - 4) - 2)) + 5) - 3| - 2 in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = (-1(2|(-4(1cos(2π((2x)/(-1x + 3)) - 2) + 3)^2 - 1(1cos(2π((2x)/(-1x + 3)) - 2) + 3) - 5) + 1| - 3) + 3)/(-1(2|(-4(1cos(2π((2x)/(-1x + 3)) - 2) + 3)^2 - 1(1cos(2π((2x)/(-1x + 3)) - 2) + 3) - 5) + 1| - 3) - 2) and g(x) = -2(3((2(4x^2 + 1x - 3))/(-3(4x^2 + 1x - 3) - 2)) + 1)^2 + 4(3((2(4x^2 + 1x - 3))/(-3(4x^2 + 1x - 3) - 2)) + 1) + 5 in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = 1((-3((1(-4(3|x - 1| - 3)^2 - 4(3|x - 1| - 3) + 2) + 3)/(1(-4(3|x - 1| - 3)^2 - 4(3|x - 1| - 3) + 2) - 2)) + 3)/(-2((1(-4(3|x - 1| - 3)^2 - 4(3|x - 1| - 3) + 2) + 3)/(1(-4(3|x - 1| - 3)^2 - 4(3|x - 1| - 3) + 2) - 2))))^2 - 4 and g(x) = (-2(-2cos(3π(-3((-1x - 3)/(-3x - 1)) + 1) - 1) + 1))/(-2(-2cos(3π(-3((-1x - 3)/(-3x - 1)) + 1) - 1) + 1) + 1) in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = 4(-2(1|(-5((1x - 2)/(-2x + 3)) + 2) + 3| - 3) + 2)^2 + 4(-2(1|(-5((1x - 2)/(-2x + 3)) + 2) + 3| - 3) + 2) and g(x) = 3|(-2(-2(-2x^2 - 4x) - 4) + 1) + 2| intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = (-1(4(-1(-3(1x - 5))^2 + 2(-3(1x - 5)) - 3)^2 - 3(-1(-3(1x - 5))^2 + 2(-3(1x - 5)) - 3) + 3) - 2)/(-2(4(-1(-3(1x - 5))^2 + 2(-3(1x - 5)) - 3)^2 - 3(-1(-3(1x - 5))^2 + 2(-3(1x - 5)) - 3) + 3) + 3) and g(x) = 2|(-2sin(3π(-1|(-1x + 2) + 1| - 2) + 2) - 3) + 1| - 1 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = (-1(3sin(3π(-5((-2(1|x + 2| + 1) - 2)/(2(1|x + 2| + 1) - 1))^2 - 4((-2(1|x + 2| + 1) - 2)/(2(1|x + 2| + 1) - 1)) - 3) - 1) + 1) - 1)/(-2(3sin(3π(-5((-2(1|x + 2| + 1) - 2)/(2(1|x + 2| + 1) - 1))^2 - 4((-2(1|x + 2| + 1) - 2)/(2(1|x + 2| + 1) - 1)) - 3) - 1) + 1) + 3) and g(x) = 1e^(1((-3((-1(3x^2 - 2x - 2) - 2)/(3(3x^2 - 2x - 2) + 1)) + 2)/(-3((-1(3x^2 - 2x - 2) - 2)/(3(3x^2 - 2x - 2) + 1)) - 2))) - 1 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = 2e^(1(-1((-2((-2(2x + 5) - 2)/(2(2x + 5) - 1)) + 3)/(3((-2(2x + 5) - 2)/(2(2x + 5) - 1)) + 3)) - 1)) and g(x) = (-1((3(-2cos(2π(-1x + 5) - 2)) - 2)/(-3(-2cos(2π(-1x + 5) - 2)) - 1)) - 2)/(1((3(-2cos(2π(-1x + 5) - 2)) - 2)/(-3(-2cos(2π(-1x + 5) - 2)) - 1))) intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = -3sin(1π(1(-1(1((2x - 3)/(1x + 1))^2 - 4((2x - 3)/(1x + 1)) + 1)^2 - 3(1((2x - 3)/(1x + 1))^2 - 4((2x - 3)/(1x + 1)) + 1) - 2) - 4) - 2) and g(x) = -2|(-1((3(-3|x + 1|))/(2(-3|x + 1|) + 3))^2 + 5((3(-3|x + 1|))/(2(-3|x + 1|) + 3)) + 4) + 1| + 2 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = -2|(-2(-2(-3(-1x - 4)^2 - 3(-1x - 4) - 5)^2 - 4(-3(-1x - 4)^2 - 3(-1x - 4) - 5) - 5) - 5)| + 2 and g(x) = -3(-3|(-1e^(1(-3|x + 1| + 3))) + 3| - 2)^2 + 2(-3|(-1e^(1(-3|x + 1| + 3))) + 3| - 2) + 2 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = 3|((2(-3(-1|(-1|x + 3| + 3) - 1| + 1)^2 + 1(-1|(-1|x + 3| + 3) - 1| + 1) + 2) - 2)/(1(-3(-1|(-1|x + 3| + 3) - 1| + 1)^2 + 1(-1|(-1|x + 3| + 3) - 1| + 1) + 2) + 1)) - 1| + 2 and g(x) = 3((2((-3((3x - 2)/(-1x - 3)) + 1)/(-1((3x - 2)/(-1x - 3)))) + 2)/(2((-3((3x - 2)/(-1x - 3)) + 1)/(-1((3x - 2)/(-1x - 3)))) - 1))^2 + 3((2((-3((3x - 2)/(-1x - 3)) + 1)/(-1((3x - 2)/(-1x - 3)))) + 2)/(2((-3((3x - 2)/(-1x - 3)) + 1)/(-1((3x - 2)/(-1x - 3)))) - 1)) - 1 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = 1(2sin(3π(-2|(-2(-2x^2 - 2x + 5)^2 - 4(-2x^2 - 2x + 5)) - 2|)) + 1)^2 + 4(2sin(3π(-2|(-2(-2x^2 - 2x + 5)^2 - 4(-2x^2 - 2x + 5)) - 2|)) + 1) - 1 and g(x) = 4((-2(-5(-2|x| - 2) + 5) + 2)/(-2(-5(-2|x| - 2) + 5)))^2 - 2((-2(-5(-2|x| - 2) + 5) + 2)/(-2(-5(-2|x| - 2) + 5))) - 2 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = -1((-2((-3((-3(-5x^2 - 5) - 1)/(-3(-5x^2 - 5) + 1)) - 2)/(-1((-3(-5x^2 - 5) - 1)/(-3(-5x^2 - 5) + 1)))) + 2)/(1((-3((-3(-5x^2 - 5) - 1)/(-3(-5x^2 - 5) + 1)) - 2)/(-1((-3(-5x^2 - 5) - 1)/(-3(-5x^2 - 5) + 1)))) + 3))^2 - 5((-2((-3((-3(-5x^2 - 5) - 1)/(-3(-5x^2 - 5) + 1)) - 2)/(-1((-3(-5x^2 - 5) - 1)/(-3(-5x^2 - 5) + 1)))) + 2)/(1((-3((-3(-5x^2 - 5) - 1)/(-3(-5x^2 - 5) + 1)) - 2)/(-1((-3(-5x^2 - 5) - 1)/(-3(-5x^2 - 5) + 1)))) + 3)) - 2 and g(x) = -4(-3cos(1π(-2(-3x^2 + 3)^2 - 3(-3x^2 + 3) - 2) + 3) - 1) - 5 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = (-2(2|(-1sin(1π(-4(-5x^2 - 3x - 2) + 1) - 2) - 1) - 1| - 3) - 1)/(1(2|(-1sin(1π(-4(-5x^2 - 3x - 2) + 1) - 2) - 1) - 1| - 3) - 3) and g(x) = -1(-3(-2cos(2π((-3x - 2)/(1x)) + 3) - 2) - 2)^2 + 1(-3(-2cos(2π((-3x - 2)/(1x)) + 3) - 2) - 2) + 5 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = -2|((3(-3(-1e^(-1(3x^2 + 5x + 2)) - 3)^2 + 2(-1e^(-1(3x^2 + 5x + 2)) - 3) - 4))/(1(-3(-1e^(-1(3x^2 + 5x + 2)) - 3)^2 + 2(-1e^(-1(3x^2 + 5x + 2)) - 3) - 4) + 3)) - 1| - 1 and g(x) = -3(-1((1(-4x^2 - 1x + 5) + 2)/(3(-4x^2 - 1x + 5) + 2))^2 + 1((1(-4x^2 - 1x + 5) + 2)/(3(-4x^2 - 1x + 5) + 2)) + 4) + 1 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = -4(1|(-2|(-2e^(-1(2|x - 1| - 3)) + 3) + 1| + 2) + 1| + 2)^2 - 2(1|(-2|(-2e^(-1(2|x - 1| - 3)) + 3) + 1| + 2) + 1| + 2) + 2 and g(x) = -2|(-3(1((3x - 3)/(1x + 3)) + 2) - 1) - 1| - 3 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation -2|(-1cos(2π(1|((2(5x - 3) - 2)/(-3(5x - 3))) + 3| + 3) + 1) + 2) - 1| - 2 = -2|((1(-1(-2x^2 - 4x) - 5) - 3)/(-1(-1(-2x^2 - 4x) - 5))) + 3| + 2 have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation (-1(4(-2|(1|(1cos(3πx + 2)) + 1| + 2) + 3| + 2)^2 - 3) + 2)/(-2(4(-2|(1|(1cos(3πx + 2)) + 1| + 2) + 3| + 2)^2 - 3) + 3) = 1((1((-3(2x^2 - 5x - 4) + 3)/(2(2x^2 - 5x - 4))))/(2((-3(2x^2 - 5x - 4) + 3)/(2(2x^2 - 5x - 4))) - 1))^2 - 3((1((-3(2x^2 - 5x - 4) + 3)/(2(2x^2 - 5x - 4))))/(2((-3(2x^2 - 5x - 4) + 3)/(2(2x^2 - 5x - 4))) - 1)) - 3 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = -1(5(-3((-1((3x - 1)/(-2x + 3)) + 2)/(-2((3x - 1)/(-2x + 3)) + 3)) + 3)^2 + 2(-3((-1((3x - 1)/(-2x + 3)) + 2)/(-2((3x - 1)/(-2x + 3)) + 3)) + 3) - 4)^2 + 4(5(-3((-1((3x - 1)/(-2x + 3)) + 2)/(-2((3x - 1)/(-2x + 3)) + 3)) + 3)^2 + 2(-3((-1((3x - 1)/(-2x + 3)) + 2)/(-2((3x - 1)/(-2x + 3)) + 3)) + 3) - 4) + 4 and g(x) = -3|((-1(1(2e^(2x) + 3)^2 - 2(2e^(2x) + 3) - 2) - 3)/(-1(1(2e^(2x) + 3)^2 - 2(2e^(2x) + 3) - 2) - 3)) + 3| - 1 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = (-2((-1(-5(3|(2|x + 3| + 2) + 3| - 2)^2 - 2(3|(2|x + 3| + 2) + 3| - 2) - 3) + 3)/(3(-5(3|(2|x + 3| + 2) + 3| - 2)^2 - 2(3|(2|x + 3| + 2) + 3| - 2) - 3) - 2)) + 1)/(1((-1(-5(3|(2|x + 3| + 2) + 3| - 2)^2 - 2(3|(2|x + 3| + 2) + 3| - 2) - 3) + 3)/(3(-5(3|(2|x + 3| + 2) + 3| - 2)^2 - 2(3|(2|x + 3| + 2) + 3| - 2) - 3) - 2)) - 2) and g(x) = 5((-2(-1(-4x^2 + 3x - 1)^2 + 1(-4x^2 + 3x - 1) + 5))/(-2(-1(-4x^2 + 3x - 1)^2 + 1(-4x^2 + 3x - 1) + 5) - 1))^2 + 1((-2(-1(-4x^2 + 3x - 1)^2 + 1(-4x^2 + 3x - 1) + 5))/(-2(-1(-4x^2 + 3x - 1)^2 + 1(-4x^2 + 3x - 1) + 5) - 1)) - 3 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = (1(1((3(1sin(3π(3|x + 3| - 2) - 1) + 1) + 3)/(-2(1sin(3π(3|x + 3| - 2) - 1) + 1) + 1))^2 + 3((3(1sin(3π(3|x + 3| - 2) - 1) + 1) + 3)/(-2(1sin(3π(3|x + 3| - 2) - 1) + 1) + 1)) - 1) - 3)/(-3(1((3(1sin(3π(3|x + 3| - 2) - 1) + 1) + 3)/(-2(1sin(3π(3|x + 3| - 2) - 1) + 1) + 1))^2 + 3((3(1sin(3π(3|x + 3| - 2) - 1) + 1) + 3)/(-2(1sin(3π(3|x + 3| - 2) - 1) + 1) + 1)) - 1) - 2) and g(x) = (1((-1(1|(5x^2 + 3x + 3) - 3|) - 1)/(-3(1|(5x^2 + 3x + 3) - 3|) + 2)) + 2)/(-2((-1(1|(5x^2 + 3x + 3) - 3|) - 1)/(-3(1|(5x^2 + 3x + 3) - 3|) + 2)) + 3) intersect in the interval [-10, 10].

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Determine the number of intersection points between the functions f(x) = (-3(1(-1cos(1π(-1(1x - 5)^2 - 4(1x - 5) - 2) - 2))) - 2)/(2(1(-1cos(1π(-1(1x - 5)^2 - 4(1x - 5) - 2) - 2))) - 1) and g(x) = 2|(1((3(2x^2 + 3x + 2) + 2)/(2(2x^2 + 3x + 2) - 1)) + 3) - 2| + 3 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation 2sin(1π(-1|(-3|(3|(-1|x - 1| - 3) - 2| - 2) - 2| + 3)| + 1)) = (-1((2(4(3|x| - 2) - 3) + 1)/(-2(4(3|x| - 2) - 3) - 2)) + 3)/(-3((2(4(3|x| - 2) - 3) + 1)/(-2(4(3|x| - 2) - 3) - 2)) + 4) have for x in the interval [-10, 10]?

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Determine the number of intersection points between the functions f(x) = -5((2(-4(4(-2cos(3πx - 1) - 2)^2 + 1(-2cos(3πx - 1) - 2) - 4) - 3) + 2)/(1(-4(4(-2cos(3πx - 1) - 2)^2 + 1(-2cos(3πx - 1) - 2) - 4) - 3) - 3))^2 + 4((2(-4(4(-2cos(3πx - 1) - 2)^2 + 1(-2cos(3πx - 1) - 2) - 4) - 3) + 2)/(1(-4(4(-2cos(3πx - 1) - 2)^2 + 1(-2cos(3πx - 1) - 2) - 4) - 3) - 3)) + 5 and g(x) = (-2(3sin(1π(-1|(1|x - 1| - 1) - 2|) + 1) + 2) - 3)/(-2(3sin(1π(-1|(1|x - 1| - 1) - 2|) + 1) + 2) - 2) where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = 2|((1((1(-3(-2x^2 - 3x - 5)^2 + 4(-2x^2 - 3x - 5) - 2) + 2)/(-3(-3(-2x^2 - 3x - 5)^2 + 4(-2x^2 - 3x - 5) - 2) + 4)))/(1((1(-3(-2x^2 - 3x - 5)^2 + 4(-2x^2 - 3x - 5) - 2) + 2)/(-3(-3(-2x^2 - 3x - 5)^2 + 4(-2x^2 - 3x - 5) - 2) + 4)) + 2)) - 1| - 1 and g(x) = 5(-1((-2(1|x + 3| - 2) - 3)/(1(1|x + 3| - 2) - 2)) - 5)^2 - 3(-1((-2(1|x + 3| - 2) - 3)/(1(1|x + 3| - 2) - 2)) - 5) - 1 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = (-3(-3|(-5(2|(-3cos(3πx + 1) - 2) - 3| + 3) + 4)|) - 3)/(3(-3|(-5(2|(-3cos(3πx + 1) - 2) - 3| + 3) + 4)|) - 2) and g(x) = -4(1sin(3π(-5(-2|x - 2| + 1)^2 - 5(-2|x - 2| + 1) - 4) + 3) - 1) - 2 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = 1(-3cos(3π(-3|(4(-1x^2 - 4)) + 1| - 3) - 2) - 2)^2 + 3(-3cos(3π(-3|(4(-1x^2 - 4)) + 1| - 3) - 2) - 2) and g(x) = (-3(1e^(-1(-1|(1|x - 3| - 1) + 3| - 1)) + 3) + 3)/(-2(1e^(-1(-1|(1|x - 3| - 1) + 3| - 1)) + 3) + 3) intersect in the interval [-10, 10].

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[User]
How many solutions does the equation -3(3e^(-1(-4(-4((-2x + 2)/(1x - 3))^2 + 5((-2x + 2)/(1x - 3)) + 4)^2 + 2(-4((-2x + 2)/(1x - 3))^2 + 5((-2x + 2)/(1x - 3)) + 4) + 4)) - 3) = -1(-1sin(3π(-3((1x + 3)/(3x)) - 3) + 1) + 2)^2 + 2(-1sin(3π(-3((1x + 3)/(3x)) - 3) + 1) + 2) + 1 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = -3((3(-2(-4(-3x^2 + 5x + 2)^2 + 5(-3x^2 + 5x + 2) - 4) - 2) + 2)/(2(-2(-4(-3x^2 + 5x + 2)^2 + 5(-3x^2 + 5x + 2) - 4) - 2) - 1))^2 + 3((3(-2(-4(-3x^2 + 5x + 2)^2 + 5(-3x^2 + 5x + 2) - 4) - 2) + 2)/(2(-2(-4(-3x^2 + 5x + 2)^2 + 5(-3x^2 + 5x + 2) - 4) - 2) - 1)) + 3 and g(x) = 1|(1(1(-1x^2 + 4)^2 - 5(-1x^2 + 4) + 5)^2 - 2(1(-1x^2 + 4)^2 - 5(-1x^2 + 4) + 5) - 2) - 1| - 3 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = -2((1((2(-1(3x^2 + 4x) + 5) - 1)/(2(-1(3x^2 + 4x) + 5) - 3)) + 2)/(-3((2(-1(3x^2 + 4x) + 5) - 1)/(2(-1(3x^2 + 4x) + 5) - 3)) + 2)) + 3 and g(x) = -3sin(2π(3|(-4(-3x^2 + 4x + 1)^2 - 2(-3x^2 + 4x + 1) + 1)| + 2)) where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = -3|(-2sin(3π(4(-3|(-2|x| - 1) + 1| - 1) + 2) + 2)) + 1| and g(x) = -1|((3(1e^(-2(5x^2 - 2x)) + 1))/(-3(1e^(-2(5x^2 - 2x)) + 1) + 4)) - 3| where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation 1(3|(3|(-4(-4x^2 - 2x + 2))|) - 2| + 2)^2 - 5(3|(3|(-4(-4x^2 - 2x + 2))|) - 2| + 2) = (-3(-5(-2|(-1e^(1x) + 2) + 3|) - 5) - 2)/(3(-5(-2|(-1e^(1x) + 2) + 3|) - 5) - 1) have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = 1|(-3sin(3π(4(3(-5x + 4) - 4) + 1) + 2) - 2) + 2| - 2 and g(x) = -1(5(3cos(2π(2|x - 3| + 3) + 3) - 1) - 5) - 4 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation -3(-3|(-5(-1sin(1π(-2|x - 1| + 2) - 2) + 1) + 3) - 1| + 1) - 2 = -4(-1|((2(-1x^2 - 2x - 4) + 2)/(-2(-1x^2 - 2x - 4) - 1))| - 2) have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = -2|(-2cos(2π(1(4(1|x| - 1)^2 + 5(1|x| - 1) + 3)^2 - 5(4(1|x| - 1)^2 + 5(1|x| - 1) + 3) - 4)) + 3) + 1| - 2 and g(x) = -1|((-2(2sin(1π(-1x^2 - 5x) + 2) - 1))/(1(2sin(1π(-1x^2 - 5x) + 2) - 1) + 3)) + 2| + 1 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation 3(2|(-1(2((2x)/(-1x - 1))^2 - 2((2x)/(-1x - 1)) - 4) - 1) + 3| - 1) - 2 = 1e^(2((-2((2(-3|x + 2| - 3) - 2)/(2(-3|x + 2| - 3) - 1)) - 1)/(-2((2(-3|x + 2| - 3) - 2)/(2(-3|x + 2| - 3) - 1)) + 3))) + 1 have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = 1(-1(-3|(2|((-1x)/(-2x - 2)) - 1| - 1)| - 1)^2 - 5(-3|(2|((-1x)/(-2x - 2)) - 1| - 1)| - 1) + 5) + 1 and g(x) = -4(5(2cos(1π((1x - 1)/(1x + 1)) + 2) - 3) - 2)^2 - 2(5(2cos(1π((1x - 1)/(1x + 1)) + 2) - 3) - 2) - 4 in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = -1cos(2π((3(-4((1((-1x - 3)/(2x)) - 3)/(-2((-1x - 3)/(2x)) - 1))^2 - 3((1((-1x - 3)/(2x)) - 3)/(-2((-1x - 3)/(2x)) - 1)) + 5) + 3)/(-3(-4((1((-1x - 3)/(2x)) - 3)/(-2((-1x - 3)/(2x)) - 1))^2 - 3((1((-1x - 3)/(2x)) - 3)/(-2((-1x - 3)/(2x)) - 1)) + 5) + 1)) + 1) - 3 and g(x) = -2|(3(5((-3x + 3)/(-3x + 1))^2 - 1((-3x + 3)/(-3x + 1)) - 2) + 3) - 3| - 2 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = 1|(2cos(1π(5(-1(-5x + 2) + 5) + 1) - 1) - 1) + 1| - 2 and g(x) = 4(-1|((-1(2|x - 3| - 2) - 2)/(-1(2|x - 3| - 2) - 1)) + 3| - 1) + 5 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = -3(-3cos(2π((2((2((2x - 1)/(1x + 2)) - 1)/(1((2x - 1)/(1x + 2)))))/(-2((2((2x - 1)/(1x + 2)) - 1)/(1((2x - 1)/(1x + 2)))) + 1)) - 3) + 3) + 4 and g(x) = (-2(1((1(-3x + 4) + 1)/(-1(-3x + 4) - 3)) - 3))/(3(1((1(-3x + 4) + 1)/(-1(-3x + 4) - 3)) - 3) + 3) where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = 2sin(3π(-4(2(-1((-1x + 1)/(-3x + 4)) + 4)^2 - 5) + 4) + 2) + 2 and g(x) = (2(5(-2e^(-1(3x^2 + 2x - 3)) - 1) - 1) - 3)/(3(5(-2e^(-1(3x^2 + 2x - 3)) - 1) - 1)) intersect in the interval [-10, 10].

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[User]
How many solutions does the equation -2(-1(3|((-1(1x^2 + 4x + 2) - 3)/(-2(1x^2 + 4x + 2) - 2)) - 1| - 2) + 3)^2 - 4(-1(3|((-1(1x^2 + 4x + 2) - 3)/(-2(1x^2 + 4x + 2) - 2)) - 1| - 2) + 3) = (-1(-1(2(2sin(2πx - 3) - 3)^2 - 5(2sin(2πx - 3) - 3) - 1)^2 + 4(2(2sin(2πx - 3) - 3)^2 - 5(2sin(2πx - 3) - 3) - 1) + 1) + 3)/(-3(-1(2(2sin(2πx - 3) - 3)^2 - 5(2sin(2πx - 3) - 3) - 1)^2 + 4(2(2sin(2πx - 3) - 3)^2 - 5(2sin(2πx - 3) - 3) - 1) + 1) - 3) have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = (-2(5(-5(-3sin(2π(2x + 2) - 3))^2 + 2)^2 + 3(-5(-3sin(2π(2x + 2) - 3))^2 + 2) - 2) + 1)/(-3(5(-5(-3sin(2π(2x + 2) - 3))^2 + 2)^2 + 3(-5(-3sin(2π(2x + 2) - 3))^2 + 2) - 2) - 1) and g(x) = -3(-3(-1((-1x + 3)/(3x - 1)) + 2)^2 - 2(-1((-1x + 3)/(3x - 1)) + 2) + 5)^2 - 3(-3(-1((-1x + 3)/(3x - 1)) + 2)^2 - 2(-1((-1x + 3)/(3x - 1)) + 2) + 5) + 4 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = -1(1|(2(1(1|x - 3| - 1)^2 + 5(1|x - 3| - 1)) - 1) + 3| - 2)^2 - 1(1|(2(1(1|x - 3| - 1)^2 + 5(1|x - 3| - 1)) - 1) + 3| - 2) - 3 and g(x) = (2(-2|(-3|(-2sin(2πx + 3) + 1) - 2| + 2)| + 3) - 3)/(-3(-2|(-3|(-2sin(2πx + 3) + 1) - 2| + 2)| + 3) - 2) where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = -1e^(-2(-1(-2|((1((-1x - 1)/(-2x + 3)) - 1)/(-2((-1x - 1)/(-2x + 3)) - 1)) - 3| + 3) + 2)) + 2 and g(x) = (-2(-2(-1cos(3π((-1x + 1)/(1x - 3))) + 1)^2 + 2(-1cos(3π((-1x + 1)/(1x - 3))) + 1) + 1) + 1)/(3(-2(-1cos(3π((-1x + 1)/(1x - 3))) + 1)^2 + 2(-1cos(3π((-1x + 1)/(1x - 3))) + 1) + 1) + 3) intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = (2(-2|(1(-4(3cos(2πx - 1) - 1)^2 - 4(3cos(2πx - 1) - 1) + 1) + 3) - 1|) + 3)/(-2(-2|(1(-4(3cos(2πx - 1) - 1)^2 - 4(3cos(2πx - 1) - 1) + 1) + 3) - 1|) - 2) and g(x) = (-3(-5(2(1|x - 3| + 1)^2 - 4(1|x - 3| + 1) - 3) + 1) + 2)/(-2(-5(2(1|x - 3| + 1)^2 - 4(1|x - 3| + 1) - 3) + 1) - 3) intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = -5(1|((-1(2|(3x - 2) + 1| - 3) + 3)/(-1(2|(3x - 2) + 1| - 3) + 2)) - 1| - 3) - 4 and g(x) = 4((2(-1(2|x - 3|) + 2) - 2)/(2(-1(2|x - 3|) + 2) - 1))^2 + 3((2(-1(2|x - 3|) + 2) - 2)/(2(-1(2|x - 3|) + 2) - 1)) - 4 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = -2|((1(2(-1((-1x - 1)/(3x - 2))^2 + 5((-1x - 1)/(3x - 2)) + 2) + 5) + 1)/(1(2(-1((-1x - 1)/(3x - 2))^2 + 5((-1x - 1)/(3x - 2)) + 2) + 5) - 3)) + 3| + 3 and g(x) = -2|(2|((1((-2x + 2)/(-2x - 2)) + 2)/(-3((-2x + 2)/(-2x - 2)) - 1))| + 2) - 3| where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = 3|(-1(3e^(-1(-5(-1x - 1)^2 - 2(-1x - 1) + 5)) - 3) - 4) - 3| and g(x) = 2|(1(-3|(-4x - 4) - 1| + 2)^2 - 5(-3|(-4x - 4) - 1| + 2) - 5) - 3| + 1 intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = 2e^(-1(5((-2(-2(-3x - 5)^2 + 5(-3x - 5)) + 2)/(-2(-2(-3x - 5)^2 + 5(-3x - 5)) - 1))^2 + 5((-2(-2(-3x - 5)^2 + 5(-3x - 5)) + 2)/(-2(-2(-3x - 5)^2 + 5(-3x - 5)) - 1)) - 2)) - 1 and g(x) = -1(-1cos(1π(-1|(-3x^2 + 4x) - 3| - 2) - 2) - 1)^2 + 2(-1cos(1π(-1|(-3x^2 + 4x) - 3| - 2) - 2) - 1) - 1 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = (1(-5(-3|(-3|(1x^2 + 5x + 4) + 1| + 2) - 2| - 1)^2 - 3(-3|(-3|(1x^2 + 5x + 4) + 1| + 2) - 2| - 1) + 1) - 1)/(2(-5(-3|(-3|(1x^2 + 5x + 4) + 1| + 2) - 2| - 1)^2 - 3(-3|(-3|(1x^2 + 5x + 4) + 1| + 2) - 2| - 1) + 1) - 3) and g(x) = 4(3cos(3π(-5(1|x + 2| + 3) + 2)) + 1) + 1 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = -2|((-3((-3(5(1|x + 1|)^2 + 1(1|x + 1|) - 1) - 2)/(3(5(1|x + 1|)^2 + 1(1|x + 1|) - 1) + 1)))/(1((-3(5(1|x + 1|)^2 + 1(1|x + 1|) - 1) - 2)/(3(5(1|x + 1|)^2 + 1(1|x + 1|) - 1) + 1)) + 1)) + 2| + 1 and g(x) = 1(-3(-1cos(1π(-3x + 5) - 3) - 1)^2 + 2) - 3 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = 3|(5(2|(-4((-2x - 2)/(-2x))) - 2| - 3) + 1) - 3| - 3 and g(x) = 1|(1(5(2cos(2πx - 3))^2 + 5(2cos(2πx - 3)) + 1)^2 - 5(5(2cos(2πx - 3))^2 + 5(2cos(2πx - 3)) + 1) - 1) - 2| + 2 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation (-3(4(-3(-2|(-1x^2 + 3x + 2)| + 1) + 1) - 4))/(-2(4(-3(-2|(-1x^2 + 3x + 2)| + 1) + 1) - 4) - 2) = 4(3e^(-1(1(1x + 3)))) - 1 have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = (1(1(-5(5((-2x + 1)/(2x))^2 - 4((-2x + 1)/(2x)))^2 + 4(5((-2x + 1)/(2x))^2 - 4((-2x + 1)/(2x))) + 5) + 3) + 3)/(-2(1(-5(5((-2x + 1)/(2x))^2 - 4((-2x + 1)/(2x)))^2 + 4(5((-2x + 1)/(2x))^2 - 4((-2x + 1)/(2x))) + 5) + 3) + 3) and g(x) = 2(-3|(-1cos(1π(-3x^2 + 2x - 2) - 1) - 3) + 2| + 1)^2 + 2(-3|(-1cos(1π(-3x^2 + 2x - 2) - 1) - 3) + 2| + 1) - 2 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = (3(2(-2e^(2((-1(3|x + 1|) + 2)/(-1(3|x + 1|) - 3))) - 1) + 3) + 2)/(2(2(-2e^(2((-1(3|x + 1|) + 2)/(-1(3|x + 1|) - 3))) - 1) + 3) + 3) and g(x) = -3(-2|(-5((-3x + 1)/(3x)) - 5) + 1|) - 1 intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = -2cos(3π((-2(1(-3|(-2x + 1)|) - 2) + 3)/(-2(1(-3|(-2x + 1)|) - 2) - 3)) + 1) + 2 and g(x) = 1(-2sin(1π(1(4x^2) - 2) + 3) + 1)^2 - 1(-2sin(1π(1(4x^2) - 2) + 3) + 1) + 3 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = 3cos(3π(3((-3((-1(-2|x + 3| - 3) - 2)/(-3(-2|x + 3| - 3))) - 3)/(2((-1(-2|x + 3| - 3) - 2)/(-3(-2|x + 3| - 3)))))^2 + 2((-3((-1(-2|x + 3| - 3) - 2)/(-3(-2|x + 3| - 3))) - 3)/(2((-1(-2|x + 3| - 3) - 2)/(-3(-2|x + 3| - 3))))) - 3) + 3) + 2 and g(x) = 2|(-4(-1|(-2cos(2πx + 2) + 1) - 1| + 2)^2 + 2(-1|(-2cos(2πx + 2) + 1) - 1| + 2) + 2) - 3| + 3 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = 3(-2|(2e^(1(-1(-1x + 2)^2 + 4(-1x + 2) - 5)) + 1) + 2| - 3) + 2 and g(x) = 4((-1(-3cos(3π(-4x^2 + 5x) - 1) + 1) + 2)/(-3(-3cos(3π(-4x^2 + 5x) - 1) + 1) + 2)) + 2 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = 2e^(1(-2(-2|(-1(3x^2 + 5x - 2))| + 3)^2 - 1(-2|(-1(3x^2 + 5x - 2))| + 3) + 5)) and g(x) = 2cos(3π(3|(-1|(1x^2 + 4x + 1)| + 3) + 1| + 3) - 3) + 1 in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = -3|((-3(-4((-2(-5x + 2) + 2)/(2(-5x + 2) - 1))^2 + 5((-2(-5x + 2) + 2)/(2(-5x + 2) - 1)) - 4) - 2)/(3(-4((-2(-5x + 2) + 2)/(2(-5x + 2) - 1))^2 + 5((-2(-5x + 2) + 2)/(2(-5x + 2) - 1)) - 4))) + 2| + 1 and g(x) = 4(-1|(-1(5x + 1) + 3) + 1| + 3)^2 - 1(-1|(-1(5x + 1) + 3) + 1| + 3) - 4 in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = -2|(-2|(3(1((-2x + 2)/(-3x))^2 - 3((-2x + 2)/(-3x)) - 1) - 4) + 2| + 2) + 1| + 2 and g(x) = (-1(-3(-1((3x - 2)/(1x + 1)) + 3)^2 - 3(-1((3x - 2)/(1x + 1)) + 3) + 3) - 3)/(-3(-3(-1((3x - 2)/(1x + 1)) + 3)^2 - 3(-1((3x - 2)/(1x + 1)) + 3) + 3) + 2) in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = 2|(-1((-3(2sin(1π(3x^2 + 4x - 2) + 2) + 3) - 2)/(-2(2sin(1π(3x^2 + 4x - 2) + 2) + 3) + 3))^2 - 3((-3(2sin(1π(3x^2 + 4x - 2) + 2) + 3) - 2)/(-2(2sin(1π(3x^2 + 4x - 2) + 2) + 3) + 3)) + 1) - 3| + 1 and g(x) = (2(1|(-1|((-2x)/(-1x + 3)) - 2| - 2) + 3| + 2) - 1)/(-1(1|(-1|((-2x)/(-1x + 3)) - 2| - 2) + 3| + 2) + 3) intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = -3|(-3|(-3((2(-2cos(1πx) + 1))/(2(-2cos(1πx) + 1) + 3))^2 + 2((2(-2cos(1πx) + 1))/(2(-2cos(1πx) + 1) + 3)) + 5) + 1| - 3) + 1| + 2 and g(x) = -1|((2(2|(3x^2 + 2x - 2) + 3| - 1) - 2)/(-1(2|(3x^2 + 2x - 2) + 3| - 1) + 2)) - 2| + 1 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = -4(2(-1sin(1π(1(3x - 4)^2 - 3(3x - 4) + 4) + 1))^2 + 4(-1sin(1π(1(3x - 4)^2 - 3(3x - 4) + 4) + 1)) - 1) + 2 and g(x) = -1|(-5(-2(-1x + 2)^2 - 2(-1x + 2) + 5)) - 3| + 1 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = -2(3|((-3(1cos(1π(5x^2 - 2x + 4) - 1) + 2) + 2)/(-2(1cos(1π(5x^2 - 2x + 4) - 1) + 2) + 1)) - 1| - 1)^2 + 1(3|((-3(1cos(1π(5x^2 - 2x + 4) - 1) + 2) + 2)/(-2(1cos(1π(5x^2 - 2x + 4) - 1) + 2) + 1)) - 1| - 1) + 1 and g(x) = (-1(3cos(2π(-3|(-1x - 5) - 2| + 2) - 3) - 1))/(2(3cos(2π(-3|(-1x - 5) - 2| + 2) - 3) - 1)) intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = 3|(-2(-3|((-3(-3x + 2) - 3)/(-2(-3x + 2) - 2)) - 1| - 2) - 4) + 1| - 1 and g(x) = -3(5(-2|(3|x + 3|) - 1|) + 1) + 3 in the range -10 ≤ x ≤ 10?

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Determine the number of intersection points between the functions f(x) = -5(3cos(3π((1(5(-2x - 5) + 5) - 3)/(-3(5(-2x - 5) + 5) + 2)) - 2)) - 5 and g(x) = 2(-3sin(3π(5(1x + 5) + 1) + 3) - 1)^2 - 5(-3sin(3π(5(1x + 5) + 1) + 3) - 1) + 5 where -10 ≤ x ≤ 10.

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Find the number of times the graphs of f(x) = 1|(-2|((3(-4(-2x - 3)^2 - 5(-2x - 3) + 1) - 3)/(2(-4(-2x - 3)^2 - 5(-2x - 3) + 1) + 3)) + 2| + 3) - 2| + 2 and g(x) = (1(3|((2(1x - 5) + 2)/(-2(1x - 5) + 1)) + 1| - 2) - 3)/(-1(3|((2(1x - 5) + 2)/(-2(1x - 5) + 1)) + 1| - 2) - 3) intersect in the interval [-10, 10].

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How many solutions does the equation (1(5((2(1|(2cos(2πx)) - 3| - 2) + 1)/(1(1|(2cos(2πx)) - 3| - 2)))^2 - 2((2(1|(2cos(2πx)) - 3| - 2) + 1)/(1(1|(2cos(2πx)) - 3| - 2))) - 4) - 3)/(-3(5((2(1|(2cos(2πx)) - 3| - 2) + 1)/(1(1|(2cos(2πx)) - 3| - 2)))^2 - 2((2(1|(2cos(2πx)) - 3| - 2) + 1)/(1(1|(2cos(2πx)) - 3| - 2))) - 4) + 4) = -2e^(-1((-2(1(-5x^2 - 1x + 2) + 4) - 3)/(-3(1(-5x^2 - 1x + 2) + 4) - 1))) have for x in the interval [-10, 10]?

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How many points of intersection exist between the functions f(x) = (-1(2cos(3π(-2(-2|(-4x - 1) + 1|)^2 - 4(-2|(-4x - 1) + 1|) + 5) + 3) - 3) - 3)/(-3(2cos(3π(-2(-2|(-4x - 1) + 1|)^2 - 4(-2|(-4x - 1) + 1|) + 5) + 3) - 3) - 3) and g(x) = 5(-2|(-3cos(3π(4x + 2) + 2) - 2) + 3|)^2 + 1(-2|(-3cos(3π(4x + 2) + 2) - 2) + 3|) - 5 in the range -10 ≤ x ≤ 10?

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Determine the number of intersection points between the functions f(x) = -5((2(2cos(3π(3(2x + 1)^2 - 4(2x + 1) + 1) + 1) - 1))/(-3(2cos(3π(3(2x + 1)^2 - 4(2x + 1) + 1) + 1) - 1))) + 2 and g(x) = -1(2(2cos(3π(-4x - 2) + 2) - 3) + 1) + 4 where -10 ≤ x ≤ 10.

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Determine the number of intersection points between the functions f(x) = -1((-3(2cos(1π((2(-4x - 5) - 2)/(1(-4x - 5) + 3)) + 1)) + 1)/(-2(2cos(1π((2(-4x - 5) - 2)/(1(-4x - 5) + 3)) + 1)))) + 4 and g(x) = -1((-1(-3(3x + 2) + 2) + 3)/(-2(-3(3x + 2) + 2) - 3))^2 + 4((-1(-3(3x + 2) + 2) + 3)/(-2(-3(3x + 2) + 2) - 3)) where -10 ≤ x ≤ 10.

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Determine the number of intersection points between the functions f(x) = 2((3(4(5((-3x + 2)/(2x - 1))^2 - 2((-3x + 2)/(2x - 1)) - 2) + 5) - 1)/(-2(4(5((-3x + 2)/(2x - 1))^2 - 2((-3x + 2)/(2x - 1)) - 2) + 5) + 3)) and g(x) = -4(1|(-3(1cos(2πx + 1) - 1) - 1) + 3| - 1)^2 + 1(1|(-3(1cos(2πx + 1) - 1) - 1) + 3| - 1) + 3 where -10 ≤ x ≤ 10.

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How many points of intersection exist between the functions f(x) = -4((-2(-3|((1(1sin(3πx + 3) - 1) + 1)/(-1(1sin(3πx + 3) - 1) - 1))| + 2))/(2(-3|((1(1sin(3πx + 3) - 1) + 1)/(-1(1sin(3πx + 3) - 1) - 1))| + 2) - 1))^2 - 3((-2(-3|((1(1sin(3πx + 3) - 1) + 1)/(-1(1sin(3πx + 3) - 1) - 1))| + 2))/(2(-3|((1(1sin(3πx + 3) - 1) + 1)/(-1(1sin(3πx + 3) - 1) - 1))| + 2) - 1)) - 3 and g(x) = 2cos(2π((-2(1|(-1x - 4) - 1| - 1) + 3)/(-3(1|(-1x - 4) - 1| - 1) + 2)) - 2) - 3 in the range -10 ≤ x ≤ 10?

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Determine the number of intersection points between the functions f(x) = -2|(1((-2(1cos(3π(-1x - 4) + 2)) + 3)/(-1(1cos(3π(-1x - 4) + 2)) - 2))^2 + 1((-2(1cos(3π(-1x - 4) + 2)) + 3)/(-1(1cos(3π(-1x - 4) + 2)) - 2)) - 1) - 2| - 1 and g(x) = -5(1cos(2π((2(5x^2 - 4x + 2) + 3)/(-3(5x^2 - 4x + 2))) - 1))^2 + 2(1cos(2π((2(5x^2 - 4x + 2) + 3)/(-3(5x^2 - 4x + 2))) - 1)) + 1 where -10 ≤ x ≤ 10.

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How many points of intersection exist between the functions f(x) = 3|((1((3((-2(-2x^2 + 1x - 1) + 1)/(-3(-2x^2 + 1x - 1) - 2)) - 3)/(1((-2(-2x^2 + 1x - 1) + 1)/(-3(-2x^2 + 1x - 1) - 2)) - 3)) + 2)/(3((3((-2(-2x^2 + 1x - 1) + 1)/(-3(-2x^2 + 1x - 1) - 2)) - 3)/(1((-2(-2x^2 + 1x - 1) + 1)/(-3(-2x^2 + 1x - 1) - 2)) - 3)) + 3)) - 3| + 2 and g(x) = (-1(-4(-2cos(3π(-2|x + 3| + 3) + 2) - 3) - 4) + 3)/(3(-4(-2cos(3π(-2|x + 3| + 3) + 2) - 3) - 4) - 2) in the range -10 ≤ x ≤ 10?

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Find the number of times the graphs of f(x) = (3(3|(-1|((-2(-3x + 3) - 2)/(3(-3x + 3) - 2)) - 3| - 2) + 1| + 1) - 3)/(1(3|(-1|((-2(-3x + 3) - 2)/(3(-3x + 3) - 2)) - 3| - 2) + 1| + 1) + 1) and g(x) = 2(-1cos(3π((-2(2x^2 - 3x - 3) + 3)/(1(2x^2 - 3x - 3) + 3)) + 3) - 1)^2 - 2(-1cos(3π((-2(2x^2 - 3x - 3) + 3)/(1(2x^2 - 3x - 3) + 3)) + 3) - 1) + 2 intersect in the interval [-10, 10].

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Determine the number of intersection points between the functions f(x) = -1(3cos(2π(1(-3|(1x^2 + 5x + 1) - 1| - 1) - 5) - 3) - 1) - 1 and g(x) = -3sin(2π(2|(3(-5x - 5) - 2) - 1| - 1)) - 1 where -10 ≤ x ≤ 10.

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How many solutions does the equation 5((-2(3cos(1π(-1|(-4x^2 - 3x - 5) - 2|) - 2)) + 2)/(-2(3cos(1π(-1|(-4x^2 - 3x - 5) - 2|) - 2)) - 3))^2 + 2((-2(3cos(1π(-1|(-4x^2 - 3x - 5) - 2|) - 2)) + 2)/(-2(3cos(1π(-1|(-4x^2 - 3x - 5) - 2|) - 2)) - 3)) = 3((2(1|(5x^2 + 5x) + 2| + 2) + 3)/(2(1|(5x^2 + 5x) + 2| + 2) + 1)) + 5 have for x in the interval [-10, 10]?

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How many points of intersection exist between the functions f(x) = -1|(1|(-2((1((-1x - 2)/(2x)) - 2)/(2((-1x - 2)/(2x)) + 3))^2 - 1((1((-1x - 2)/(2x)) - 2)/(2((-1x - 2)/(2x)) + 3)) - 2) - 3| - 2) + 2| + 1 and g(x) = -4(1|(-5(-4x - 4) - 3)|)^2 + 5(1|(-5(-4x - 4) - 3)|) - 3 in the range -10 ≤ x ≤ 10?

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How many solutions does the equation 2((1((-1(-2(-1cos(3πx + 3) - 3)^2 + 5(-1cos(3πx + 3) - 3) + 4))/(-1(-2(-1cos(3πx + 3) - 3)^2 + 5(-1cos(3πx + 3) - 3) + 4) - 3)) - 2)/(-3((-1(-2(-1cos(3πx + 3) - 3)^2 + 5(-1cos(3πx + 3) - 3) + 4))/(-1(-2(-1cos(3πx + 3) - 3)^2 + 5(-1cos(3πx + 3) - 3) + 4) - 3)) - 2)) - 2 = -3|(3|(-1(-3|x - 3| + 3) + 3) - 1|) - 1| + 3 have for x in the interval [-10, 10]?

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How many points of intersection exist between the functions f(x) = 3(-3cos(2π(-1((-3(3|x + 3| + 3) - 2)/(-3(3|x + 3| + 3) + 4)) - 3) - 1) - 3) + 3 and g(x) = 3((-2(-4(3|x + 3| - 1)))/(3(-4(3|x + 3| - 1)) - 2))^2 - 1((-2(-4(3|x + 3| - 1)))/(3(-4(3|x + 3| - 1)) - 2)) - 5 in the range -10 ≤ x ≤ 10?

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How many points of intersection exist between the functions f(x) = 4(-1(1(-3(-2sin(3πx - 1) - 1)^2 + 1(-2sin(3πx - 1) - 1) + 4) + 4)^2 - 1(1(-3(-2sin(3πx - 1) - 1)^2 + 1(-2sin(3πx - 1) - 1) + 4) + 4) - 2) - 4 and g(x) = -3(-3(4(-5x^2 - 4x + 1)^2 - 2(-5x^2 - 4x + 1) - 1) + 4)^2 + 5(-3(4(-5x^2 - 4x + 1)^2 - 2(-5x^2 - 4x + 1) - 1) + 4) + 4 in the range -10 ≤ x ≤ 10?

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Find the number of times the graphs of f(x) = 3sin(3π(-2|(4((-2((2x - 3)/(2x)) - 2)/(-1((2x - 3)/(2x)) - 3))^2 - 5((-2((2x - 3)/(2x)) - 2)/(-1((2x - 3)/(2x)) - 3)) + 5) - 2| - 3) - 3) and g(x) = 5(1(-3cos(2π((-2x + 2)/(2x + 3)) - 1))^2 + 5(-3cos(2π((-2x + 2)/(2x + 3)) - 1)) + 3)^2 - 1(1(-3cos(2π((-2x + 2)/(2x + 3)) - 1))^2 + 5(-3cos(2π((-2x + 2)/(2x + 3)) - 1)) + 3) + 2 intersect in the interval [-10, 10].

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Determine the number of intersection points between the functions f(x) = 3(-3|(-2sin(1π(-5((2x - 1)/(-2x - 1))^2 + 1((2x - 1)/(-2x - 1)) + 2) + 3) + 3) - 2|)^2 - 1(-3|(-2sin(1π(-5((2x - 1)/(-2x - 1))^2 + 1((2x - 1)/(-2x - 1)) + 2) + 3) + 3) - 2|) - 2 and g(x) = 5((-2((-2(-1x - 1))/(3(-1x - 1) - 2)) + 1)/(1((-2(-1x - 1))/(3(-1x - 1) - 2)))) - 2 where -10 ≤ x ≤ 10.

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Find the number of times the graphs of f(x) = 2((1(-5(-2|(-1cos(2πx - 1) + 1) - 2| + 3) - 2))/(3(-5(-2|(-1cos(2πx - 1) + 1) - 2| + 3) - 2) + 1)) - 4 and g(x) = 3(1e^(-1((-3((2x + 2)/(1x + 3)) + 1)/(2((2x + 2)/(1x + 3)) + 2))) - 3) - 3 intersect in the interval [-10, 10].

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How many solutions does the equation 3sin(1π(2((3(-1|(-1x^2 - 1x - 1) - 1| - 2) - 2)/(-3(-1|(-1x^2 - 1x - 1) - 1| - 2)))^2 - 2((3(-1|(-1x^2 - 1x - 1) - 1| - 2) - 2)/(-3(-1|(-1x^2 - 1x - 1) - 1| - 2))) - 3) + 2) + 2 = 1(-3|(5(-3e^(1x) + 2) + 3) - 2| + 3)^2 - 3(-3|(5(-3e^(1x) + 2) + 3) - 2| + 3) + 5 have for x in the interval [-10, 10]?

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Find the number of times the graphs of f(x) = 3(-3(-2(1(3x^2 - 3x + 1)^2 + 4(3x^2 - 3x + 1) - 4) + 1) - 1)^2 - 2(-3(-2(1(3x^2 - 3x + 1)^2 + 4(3x^2 - 3x + 1) - 4) + 1) - 1) and g(x) = (-3((2(4(3|x + 2| + 3) + 1) - 3)/(1(4(3|x + 2| + 3) + 1) + 2)) + 2)/(-2((2(4(3|x + 2| + 3) + 1) - 3)/(1(4(3|x + 2| + 3) + 1) + 2))) intersect in the interval [-10, 10].

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How many points of intersection exist between the functions f(x) = -3(-1|(-2(-3|((3x - 1)/(3x + 3)) + 2|)^2 + 5(-3|((3x - 1)/(3x + 3)) + 2|)) - 1| + 2) - 1 and g(x) = 3e^(2(3(1|(2x^2 + 1x - 1) - 3| - 1) + 4)) + 1 in the range -10 ≤ x ≤ 10?

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How many points of intersection exist between the functions f(x) = 1(-2|(-2sin(3π((3(4x^2 - 4x))/(-3(4x^2 - 4x) + 1)) + 1) - 3) - 2|)^2 + 5(-2|(-2sin(3π((3(4x^2 - 4x))/(-3(4x^2 - 4x) + 1)) + 1) - 3) - 2|) + 2 and g(x) = 4(1(1|(1x - 5) - 2| - 2))^2 - 3 in the range -10 ≤ x ≤ 10?

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How many solutions does the equation -5(-1((-1(2(1x^2 + 4x - 4)^2 + 5(1x^2 + 4x - 4) + 2) + 1)/(-2(2(1x^2 + 4x - 4)^2 + 5(1x^2 + 4x - 4) + 2) + 1)) - 1)^2 - 4(-1((-1(2(1x^2 + 4x - 4)^2 + 5(1x^2 + 4x - 4) + 2) + 1)/(-2(2(1x^2 + 4x - 4)^2 + 5(1x^2 + 4x - 4) + 2) + 1)) - 1) - 2 = -2|(3((-2((3x - 2)/(-1x - 1)))/(3((3x - 2)/(-1x - 1)) + 2))^2 + 3((-2((3x - 2)/(-1x - 1)))/(3((3x - 2)/(-1x - 1)) + 2)) - 3) + 2| - 2 have for x in the interval [-10, 10]?

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Determine the number of intersection points between the functions f(x) = 3(-1(4(-3(2|x - 1| - 2)) - 4) - 5) - 1 and g(x) = 4(1sin(3π(3|(-2x^2 - 1x - 3)|) - 3))^2 - 5(1sin(3π(3|(-2x^2 - 1x - 3)|) - 3)) + 3 where -10 ≤ x ≤ 10.

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How many points of intersection exist between the functions f(x) = 2cos(3π((1(2|(-2(5x^2 + 2x - 3)^2 - 1(5x^2 + 2x - 3) + 3) + 2| + 1) - 2)/(-1(2|(-2(5x^2 + 2x - 3)^2 - 1(5x^2 + 2x - 3) + 3) + 2| + 1) + 2)) - 1) + 2 and g(x) = 1|(-4(-3e^(1((3x + 3)/(-1x + 3))) + 2)^2 - 3(-3e^(1((3x + 3)/(-1x + 3))) + 2) + 4)| - 1 in the range -10 ≤ x ≤ 10?

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Find the number of times the graphs of f(x) = -4((1((3(4(1e^(-1x) - 1)) + 2)/(1(4(1e^(-1x) - 1)) + 1)) + 2)/(-3((3(4(1e^(-1x) - 1)) + 2)/(1(4(1e^(-1x) - 1)) + 1)) + 2)) - 1 and g(x) = 2|(-2|(2(-5x + 5)^2 - 4(-5x + 5)) + 2| + 1)| intersect in the interval [-10, 10].

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How many points of intersection exist between the functions f(x) = 3e^(1((1((3(3(-5x^2 + 5x + 2)^2 - 1(-5x^2 + 5x + 2) + 1) + 1)/(-1(3(-5x^2 + 5x + 2)^2 - 1(-5x^2 + 5x + 2) + 1) - 3)) - 1)/(3((3(3(-5x^2 + 5x + 2)^2 - 1(-5x^2 + 5x + 2) + 1) + 1)/(-1(3(-5x^2 + 5x + 2)^2 - 1(-5x^2 + 5x + 2) + 1) - 3))))) - 2 and g(x) = -1((-1(-3sin(1π(5x^2 + 3x + 4)) + 1) - 3)/(-2(-3sin(1π(5x^2 + 3x + 4)) + 1) + 1)) - 1 in the range -10 ≤ x ≤ 10?

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Determine the number of intersection points between the functions f(x) = 3(-1cos(1π(2((2(3x^2 - 5x + 4) + 3)/(-2(3x^2 - 5x + 4) + 3))^2 - 5((2(3x^2 - 5x + 4) + 3)/(-2(3x^2 - 5x + 4) + 3)) - 1) - 2) + 3)^2 + 3(-1cos(1π(2((2(3x^2 - 5x + 4) + 3)/(-2(3x^2 - 5x + 4) + 3))^2 - 5((2(3x^2 - 5x + 4) + 3)/(-2(3x^2 - 5x + 4) + 3)) - 1) - 2) + 3) + 3 and g(x) = 3|(4(-5(1x + 1))^2 + 3(-5(1x + 1)) + 1) - 3| where -10 ≤ x ≤ 10.

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How many points of intersection exist between the functions f(x) = (2(4(1sin(1π((1(-4x) - 2)/(-1(-4x) + 2)) - 2) + 1)^2 - 5(1sin(1π((1(-4x) - 2)/(-1(-4x) + 2)) - 2) + 1) + 2) + 2)/(-3(4(1sin(1π((1(-4x) - 2)/(-1(-4x) + 2)) - 2) + 1)^2 - 5(1sin(1π((1(-4x) - 2)/(-1(-4x) + 2)) - 2) + 1) + 2)) and g(x) = -1(-3|(-1|(-2|x + 2| + 3) - 1| + 2) + 1| - 1)^2 - 3(-3|(-1|(-2|x + 2| + 3) - 1| + 2) + 1| - 1) + 5 in the range -10 ≤ x ≤ 10?

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Find the number of times the graphs of f(x) = 1|(-1((2((-1(3sin(1πx + 1) + 2))/(2(3sin(1πx + 1) + 2) + 3)) + 2)/(2((-1(3sin(1πx + 1) + 2))/(2(3sin(1πx + 1) + 2) + 3)) - 3)) - 5) + 1| - 2 and g(x) = -2cos(2π(1|(1(-4x)^2 - 5(-4x) + 2) - 2| - 2) - 1) + 2 intersect in the interval [-10, 10].

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How many solutions does the equation -4(-4((2(-1sin(1π(-5x^2 + 5x + 2) + 2)) - 3)/(-1(-1sin(1π(-5x^2 + 5x + 2) + 2)) - 3)) + 2) + 1 = (2(-1sin(2π(1|((-1x - 2)/(-1x - 3)) - 1| - 1) + 1) - 3) - 3)/(-3(-1sin(2π(1|((-1x - 2)/(-1x - 3)) - 1| - 1) + 1) - 3) - 3) have for x in the interval [-10, 10]?

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Find the number of times the graphs of f(x) = 3|(3|(2|((3(-1|x + 2| + 3) - 1)/(-1(-1|x + 2| + 3) + 3)) - 3| - 2) - 2| - 2)| - 1 and g(x) = (-2((-3((1(2|x + 1| + 1) - 1)/(-2(2|x + 1| + 1) - 3)) + 2)/(2((1(2|x + 1| + 1) - 1)/(-2(2|x + 1| + 1) - 3)))) + 3)/(-2((-3((1(2|x + 1| + 1) - 1)/(-2(2|x + 1| + 1) - 3)) + 2)/(2((1(2|x + 1| + 1) - 1)/(-2(2|x + 1| + 1) - 3)))) - 3) intersect in the interval [-10, 10].

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How many solutions does the equation -1|(-3|(-1(1(2cos(3πx) - 1) - 3)^2 + 1(1(2cos(3πx) - 1) - 3) - 5) + 3| - 2) - 2| - 3 = (-2(2((-3(-3cos(1πx + 3) + 1) - 3)/(2(-3cos(1πx + 3) + 1)))^2 + 3((-3(-3cos(1πx + 3) + 1) - 3)/(2(-3cos(1πx + 3) + 1))) - 3) + 3)/(-3(2((-3(-3cos(1πx + 3) + 1) - 3)/(2(-3cos(1πx + 3) + 1)))^2 + 3((-3(-3cos(1πx + 3) + 1) - 3)/(2(-3cos(1πx + 3) + 1))) - 3) - 2) have for x in the interval [-10, 10]?

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How many solutions does the equation (-3(-1(-1|(-2|((3x + 3)/(-1x + 2)) - 1| + 1) - 2| + 3)^2 - 5(-1|(-2|((3x + 3)/(-1x + 2)) - 1| + 1) - 2| + 3) - 5))/(1(-1(-1|(-2|((3x + 3)/(-1x + 2)) - 1| + 1) - 2| + 3)^2 - 5(-1|(-2|((3x + 3)/(-1x + 2)) - 1| + 1) - 2| + 3) - 5) + 2) = -2|(3(-4(-2sin(1πx - 2)) + 1)^2 - 5) + 3| + 3 have for x in the interval [-10, 10]?

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How many solutions does the equation -2sin(2π(-4(-1(5((3x)/(3x - 2)) - 4) + 1)^2 - 5(-1(5((3x)/(3x - 2)) - 4) + 1)) - 3) + 3 = 3sin(3π((-3((1(-4x + 1) - 1)/(2(-4x + 1) - 3)))/(-1((1(-4x + 1) - 1)/(2(-4x + 1) - 3)) + 2)) - 3) + 1 have for x in the interval [-10, 10]?

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How many points of intersection exist between the functions f(x) = (1((3(1|(1((3x + 1)/(1x)) + 4) - 1| - 2) + 3)/(1(1|(1((3x + 1)/(1x)) + 4) - 1| - 2) - 2)) - 1)/(-1((3(1|(1((3x + 1)/(1x)) + 4) - 1| - 2) + 3)/(1(1|(1((3x + 1)/(1x)) + 4) - 1| - 2) - 2))) and g(x) = -3cos(1π(3|((3(-1|x - 3| - 1) + 1)/(-3(-1|x - 3| - 1) - 2)) - 2| + 3) - 1) - 1 in the range -10 ≤ x ≤ 10?

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How many solutions does the equation 3|((3(-2cos(1π((-2(-1x^2 - 4x + 5) - 3)/(-3(-1x^2 - 4x + 5) + 2))) - 1) + 3)/(1(-2cos(1π((-2(-1x^2 - 4x + 5) - 3)/(-3(-1x^2 - 4x + 5) + 2))) - 1))) + 3| - 3 = 2cos(3π((-1((-2(-4x) + 3)/(2(-4x) - 1)) + 3)/(2((-2(-4x) + 3)/(2(-4x) - 1)) + 2)) - 1) have for x in the interval [-10, 10]?

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How many points of intersection exist between the functions f(x) = (-3(2|(-1sin(2π(3(2x^2)^2 - 3(2x^2) - 4)) - 3) - 1| - 2))/(-3(2|(-1sin(2π(3(2x^2)^2 - 3(2x^2) - 4)) - 3) - 1| - 2) - 3) and g(x) = -3((3(-3(-3x^2 - 2x + 1)^2 - 4(-3x^2 - 2x + 1) + 5) + 1)/(2(-3(-3x^2 - 2x + 1)^2 - 4(-3x^2 - 2x + 1) + 5) + 2))^2 - 4((3(-3(-3x^2 - 2x + 1)^2 - 4(-3x^2 - 2x + 1) + 5) + 1)/(2(-3(-3x^2 - 2x + 1)^2 - 4(-3x^2 - 2x + 1) + 5) + 2)) in the range -10 ≤ x ≤ 10?

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How many points of intersection exist between the functions f(x) = 4(-1(-1|((-1(4x - 4) - 2)/(-2(4x - 4) + 3)) + 3| + 2)^2 + 5(-1|((-1(4x - 4) - 2)/(-2(4x - 4) + 3)) + 3| + 2) + 3) - 2 and g(x) = 2(1sin(2π(-2(3|x + 1| - 1)^2 - 5(3|x + 1| - 1) + 2) - 2) + 2)^2 - 2(1sin(2π(-2(3|x + 1| - 1)^2 - 5(3|x + 1| - 1) + 2) - 2) + 2) - 4 in the range -10 ≤ x ≤ 10?

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Determine the number of intersection points between the functions f(x) = -2e^(1(-1|((1(-3|(-2|x + 2| - 3) + 1| + 2))/(-3(-3|(-2|x + 2| - 3) + 1| + 2) + 1)) + 1| - 2)) + 2 and g(x) = (2((-1(2(3cos(3πx + 2) + 2)^2 - 5(3cos(3πx + 2) + 2) - 4) + 2)/(-2(2(3cos(3πx + 2) + 2)^2 - 5(3cos(3πx + 2) + 2) - 4) + 3)) + 3)/(2((-1(2(3cos(3πx + 2) + 2)^2 - 5(3cos(3πx + 2) + 2) - 4) + 2)/(-2(2(3cos(3πx + 2) + 2)^2 - 5(3cos(3πx + 2) + 2) - 4) + 3)) - 3) where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = 5(2|((-2(1((-1x + 1)/(2x + 2))^2 - 2((-1x + 1)/(2x + 2)) - 2) - 3)/(-1(1((-1x + 1)/(2x + 2))^2 - 2((-1x + 1)/(2x + 2)) - 2) - 3)) - 3| - 3)^2 - 3 and g(x) = (-3(5(-3(-1x^2 - 5x - 5) + 2)^2 - 3(-3(-1x^2 - 5x - 5) + 2) - 3) - 1)/(-2(5(-3(-1x^2 - 5x - 5) + 2)^2 - 3(-3(-1x^2 - 5x - 5) + 2) - 3) - 1) where -10 ≤ x ≤ 10.

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How many solutions does the equation 1((-2(-1(-5(4x^2 - 2x + 4)^2 - 5(4x^2 - 2x + 4) - 3)^2 - 3(-5(4x^2 - 2x + 4)^2 - 5(4x^2 - 2x + 4) - 3) - 4) + 2)/(3(-1(-5(4x^2 - 2x + 4)^2 - 5(4x^2 - 2x + 4) - 3)^2 - 3(-5(4x^2 - 2x + 4)^2 - 5(4x^2 - 2x + 4) - 3) - 4))) = -2(-4(-5(5x^2 + 5x + 2)^2 + 3(5x^2 + 5x + 2) + 1)^2 + 4(-5(5x^2 + 5x + 2)^2 + 3(5x^2 + 5x + 2) + 1) + 4)^2 - 4(-4(-5(5x^2 + 5x + 2)^2 + 3(5x^2 + 5x + 2) + 1)^2 + 4(-5(5x^2 + 5x + 2)^2 + 3(5x^2 + 5x + 2) + 1) + 4) - 1 have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = -2(-2(2sin(3π(-5((2x - 1)/(1x + 1)) + 5) - 1) - 3)^2 - 2(2sin(3π(-5((2x - 1)/(1x + 1)) + 5) - 1) - 3) - 4)^2 + 5(-2(2sin(3π(-5((2x - 1)/(1x + 1)) + 5) - 1) - 3)^2 - 2(2sin(3π(-5((2x - 1)/(1x + 1)) + 5) - 1) - 3) - 4) + 3 and g(x) = -4(-4(-3sin(1π(-3x^2 - 4x + 5) + 3) - 2) - 3)^2 - 1 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation -2|(1|(-1(1(1x + 5)^2 - 1(1x + 5) + 1) - 4)| + 2) + 2| - 1 = -1|(-1(-2|(3sin(1πx - 2) - 3) + 2| - 3)^2 - 4(-2|(3sin(1πx - 2) - 3) + 2| - 3) - 5) + 2| + 1 have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = 3|((2(3cos(3π(-3(1x^2 - 2x - 2)^2 + 3(1x^2 - 2x - 2) - 2) + 1)) + 3)/(-2(3cos(3π(-3(1x^2 - 2x - 2)^2 + 3(1x^2 - 2x - 2) - 2) + 1)) - 2))| and g(x) = -4((-3(-2e^(1(5x^2 + 3x + 1))) - 2)/(1(-2e^(1(5x^2 + 3x + 1))) + 3)) - 5 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = -1(1|((-1(2(-3x) - 2) + 1)/(1(2(-3x) - 2) + 1)) + 2| - 1)^2 + 4(1|((-1(2(-3x) - 2) + 1)/(1(2(-3x) - 2) + 1)) + 2| - 1) - 1 and g(x) = -1|(2(3|(-3x + 4) - 1| - 3)^2 - 1(3|(-3x + 4) - 1| - 3) + 5) - 3| + 1 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = (3(5((-3((-3((1x + 3)/(1x + 1)) - 1)/(-1((1x + 3)/(1x + 1)) - 1)) + 3)/(1((-3((1x + 3)/(1x + 1)) - 1)/(-1((1x + 3)/(1x + 1)) - 1)) - 2))^2 + 5((-3((-3((1x + 3)/(1x + 1)) - 1)/(-1((1x + 3)/(1x + 1)) - 1)) + 3)/(1((-3((1x + 3)/(1x + 1)) - 1)/(-1((1x + 3)/(1x + 1)) - 1)) - 2)) + 3))/(-3(5((-3((-3((1x + 3)/(1x + 1)) - 1)/(-1((1x + 3)/(1x + 1)) - 1)) + 3)/(1((-3((1x + 3)/(1x + 1)) - 1)/(-1((1x + 3)/(1x + 1)) - 1)) - 2))^2 + 5((-3((-3((1x + 3)/(1x + 1)) - 1)/(-1((1x + 3)/(1x + 1)) - 1)) + 3)/(1((-3((1x + 3)/(1x + 1)) - 1)/(-1((1x + 3)/(1x + 1)) - 1)) - 2)) + 3) - 1) and g(x) = -3sin(1π(-1(-3|(-3x + 2)|)^2 + 3(-3|(-3x + 2)|) + 4) + 3) + 1 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = 1sin(3π((1((-1(-2(2|x + 3| - 3) - 1) - 1)/(-1(-2(2|x + 3| - 3) - 1) - 2)) + 1)/(-3((-1(-2(2|x + 3| - 3) - 1) - 1)/(-1(-2(2|x + 3| - 3) - 1) - 2)))) - 1) and g(x) = 1((-1(-3(-3|x| - 2) - 4) - 1)/(1(-3(-3|x| - 2) - 4) + 1)) + 2 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = 2(1|(5(-1(-1cos(1πx + 3) + 3) + 5)^2 + 3) - 3| - 3) - 5 and g(x) = 3|(-4((1(-5x^2 - 4x - 4) - 2)/(3(-5x^2 - 4x - 4) + 1))^2 - 5((1(-5x^2 - 4x - 4) - 2)/(3(-5x^2 - 4x - 4) + 1)) - 2) - 1| - 2 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = 2cos(1π((-2(-2(4(3x^2 + 4x + 1) - 2)) + 3)/(1(-2(4(3x^2 + 4x + 1) - 2)) - 3)) + 2) - 1 and g(x) = (2((-3(2(5x - 1)^2 + 5(5x - 1) - 2) + 2)/(-1(2(5x - 1)^2 + 5(5x - 1) - 2) + 3)) - 2)/(1((-3(2(5x - 1)^2 + 5(5x - 1) - 2) + 2)/(-1(2(5x - 1)^2 + 5(5x - 1) - 2) + 3))) intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = -2|(3((-3(3sin(2π(1x + 1) - 3) - 1) - 3)/(-2(3sin(2π(1x + 1) - 3) - 1) + 3))^2 + 3((-3(3sin(2π(1x + 1) - 3) - 1) - 3)/(-2(3sin(2π(1x + 1) - 3) - 1) + 3)) - 5)| - 2 and g(x) = -1|(-1(1|(-2cos(2πx - 2) + 3) - 3| - 3) + 5) - 2| - 1 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = 2(-1e^(2((3((-1(-1x^2 - 5x - 2) - 2)/(1(-1x^2 - 5x - 2) + 1)) + 1)/(-3((-1(-1x^2 - 5x - 2) - 2)/(1(-1x^2 - 5x - 2) + 1)) + 1)))) + 5 and g(x) = -2(-1(2((-2x)/(-1x + 3))^2 + 2((-2x)/(-1x + 3)) - 5) - 4)^2 - 5(-1(2((-2x)/(-1x + 3))^2 + 2((-2x)/(-1x + 3)) - 5) - 4) + 4 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = 4(3(-2sin(1π(1|(-5x + 4) + 3| + 2) + 3) - 1)^2 + 2(-2sin(1π(1|(-5x + 4) + 3| + 2) + 3) - 1) - 5) + 3 and g(x) = 2(-3(1(-1|x - 3| + 1)^2 - 2(-1|x - 3| + 1) - 3)^2 - 4)^2 - 1(-3(1(-1|x - 3| + 1)^2 - 2(-1|x - 3| + 1) - 3)^2 - 4) - 3 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation -4((1((-3((-1((1x - 2)/(-2x - 3)))/(-2((1x - 2)/(-2x - 3)) - 3)) - 2)/(1((-1((1x - 2)/(-2x - 3)))/(-2((1x - 2)/(-2x - 3)) - 3)) - 2)) - 2)/(-2((-3((-1((1x - 2)/(-2x - 3)))/(-2((1x - 2)/(-2x - 3)) - 3)) - 2)/(1((-1((1x - 2)/(-2x - 3)))/(-2((1x - 2)/(-2x - 3)) - 3)) - 2)) - 3)) - 3 = 2(1sin(3π(-3|(-4x - 3) - 2| - 1) - 1) - 3)^2 + 1(1sin(3π(-3|(-4x - 3) - 2| - 1) - 1) - 3) + 1 have for x in the interval [-10, 10]?

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Find the number of times the graphs of f(x) = (3(4(-3|((2(5x^2 - 1x - 1) + 3)/(-3(5x^2 - 1x - 1) + 4)) + 3| + 2) + 2) - 2)/(1(4(-3|((2(5x^2 - 1x - 1) + 3)/(-3(5x^2 - 1x - 1) + 4)) + 3| + 2) + 2) + 1) and g(x) = 3((2(-2e^(-1((-3x + 3)/(2x))) - 1) + 1)/(3(-2e^(-1((-3x + 3)/(2x))) - 1) - 1)) + 3 intersect in the interval [-10, 10].

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Determine the number of intersection points between the functions f(x) = -5(1(3(1sin(1π((-3x - 2)/(3x - 1)) + 2) + 2))^2 + 3(3(1sin(1π((-3x - 2)/(3x - 1)) + 2) + 2)) - 5) - 3 and g(x) = -3|(-4(-3(-2x + 1) - 3)^2 + 1(-3(-2x + 1) - 3) + 4) - 3| where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = (-2(-3cos(2π((1(-1(4x - 3)^2 + 3(4x - 3) - 1) - 3)/(-2(-1(4x - 3)^2 + 3(4x - 3) - 1) - 3)) - 3) + 2) + 3)/(-3(-3cos(2π((1(-1(4x - 3)^2 + 3(4x - 3) - 1) - 3)/(-2(-1(4x - 3)^2 + 3(4x - 3) - 1) - 3)) - 3) + 2) - 1) and g(x) = (-1(2sin(3π((2(-4x^2 + 1x + 2) - 1)/(3(-4x^2 + 1x + 2) + 3))) + 2))/(2(2sin(3π((2(-4x^2 + 1x + 2) - 1)/(3(-4x^2 + 1x + 2) + 3))) + 2) + 3) intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = -3(1((3(-2|(1x^2 - 1x - 3) - 3| + 2) + 1)/(-1(-2|(1x^2 - 1x - 3) - 3| + 2) - 2)) - 5) - 1 and g(x) = -3|(-5(2(-1x^2 + 1x + 2) - 3))| - 3 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = 5(2((2((3(-2|x - 1| + 1) - 1)/(-3(-2|x - 1| + 1))) - 1)/(-2((3(-2|x - 1| + 1) - 1)/(-3(-2|x - 1| + 1))) - 3))^2 + 5((2((3(-2|x - 1| + 1) - 1)/(-3(-2|x - 1| + 1))) - 1)/(-2((3(-2|x - 1| + 1) - 1)/(-3(-2|x - 1| + 1))) - 3)) + 1) - 2 and g(x) = -2cos(3π(-1|((2(-1x + 3))/(2(-1x + 3) - 1)) - 1| - 2)) + 2 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation -5((3((-3(-1(-2|x - 2|)^2 + 2(-2|x - 2|) - 4))/(1(-1(-2|x - 2|)^2 + 2(-2|x - 2|) - 4) - 3)) - 3)/(2((-3(-1(-2|x - 2|)^2 + 2(-2|x - 2|) - 4))/(1(-1(-2|x - 2|)^2 + 2(-2|x - 2|) - 4) - 3)) + 3)) - 2 = (3(-2|(-3cos(2π(-1|x - 2| - 3) + 1) - 2) + 2|))/(-2(-2|(-3cos(2π(-1|x - 2| - 3) + 1) - 2) + 2|) - 1) have for x in the interval [-10, 10]?

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Find the number of times the graphs of f(x) = -5(-3|(-3((1((-1x + 1)/(2x + 2)) + 2)/(-2((-1x + 1)/(2x + 2)) - 3))^2 - 1((1((-1x + 1)/(2x + 2)) + 2)/(-2((-1x + 1)/(2x + 2)) - 3)) - 1) + 2| + 1) + 2 and g(x) = (-1(-4(2((-3x - 3)/(-2x - 2))^2 + 1((-3x - 3)/(-2x - 2)) - 2)^2 + 2(2((-3x - 3)/(-2x - 2))^2 + 1((-3x - 3)/(-2x - 2)) - 2) + 2) + 1)/(-1(-4(2((-3x - 3)/(-2x - 2))^2 + 1((-3x - 3)/(-2x - 2)) - 2)^2 + 2(2((-3x - 3)/(-2x - 2))^2 + 1((-3x - 3)/(-2x - 2)) - 2) + 2) - 1) intersect in the interval [-10, 10].

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Find the number of times the graphs of f(x) = -3|(5(-3sin(2π(1(-1x^2 + 4x)^2 - 2(-1x^2 + 4x) - 3) + 3) - 1) - 5) - 2| - 2 and g(x) = -1sin(2π(-2|(3(-2x^2 - 2) + 4) + 2| - 2) - 3) - 3 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = 3(2|(-3|(-3sin(3π(4x - 4) - 1) - 1) - 2|) - 3| + 3) + 1 and g(x) = 1(2(-5(3cos(2πx - 3) - 1)^2 - 2(3cos(2πx - 3) - 1) - 2) - 1)^2 + 4(2(-5(3cos(2πx - 3) - 1)^2 - 2(3cos(2πx - 3) - 1) - 2) - 1) + 3 intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = 5(2cos(2π(-1(-2(5x^2 - 1x + 5)^2 + 5(5x^2 - 1x + 5) - 4)^2 - 4(-2(5x^2 - 1x + 5)^2 + 5(5x^2 - 1x + 5) - 4) + 1) + 3) + 1) - 3 and g(x) = -3cos(2π(5((-2(-5x - 4) + 1)/(-2(-5x - 4))) - 1) - 3) - 2 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation -5((3(1(-4(1x^2 + 4x + 5) + 4)^2 - 4(-4(1x^2 + 4x + 5) + 4) - 3))/(2(1(-4(1x^2 + 4x + 5) + 4)^2 - 4(-4(1x^2 + 4x + 5) + 4) - 3) - 1))^2 + 3((3(1(-4(1x^2 + 4x + 5) + 4)^2 - 4(-4(1x^2 + 4x + 5) + 4) - 3))/(2(1(-4(1x^2 + 4x + 5) + 4)^2 - 4(-4(1x^2 + 4x + 5) + 4) - 3) - 1)) - 5 = -1(5(3sin(1π(2x^2 - 5x + 5)) - 2) - 1)^2 - 1(5(3sin(1π(2x^2 - 5x + 5)) - 2) - 1) - 2 have for x in the interval [-10, 10]?

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How many solutions does the equation 2(-2|(-2(1(-1x + 1) - 3)^2 - 3(1(-1x + 1) - 3) - 2)|) + 4 = -3(2(-1|(-3x^2 + 4) - 1| + 3)^2 + 5(-1|(-3x^2 + 4) - 1| + 3) - 3) - 5 have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = -1|((2(2e^(1(4(1x + 4)^2 - 3(1x + 4) - 5)) - 3) - 2)/(-2(2e^(1(4(1x + 4)^2 - 3(1x + 4) - 5)) - 3) - 1)) - 1| + 2 and g(x) = -1|(4(2(3sin(2πx + 1) + 1)^2 + 2(3sin(2πx + 1) + 1) + 2) - 3) - 3| in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = 3|(1|((-3(-1(-5x + 3)^2 + 4(-5x + 3) - 2) - 1)/(-2(-1(-5x + 3)^2 + 4(-5x + 3) - 2) + 1)) - 2| - 2) - 1| - 3 and g(x) = 1(2sin(3π(-1(-5x^2 - 4x - 1) - 5) + 2))^2 - 3(2sin(3π(-1(-5x^2 - 4x - 1) - 5) + 2)) + 4 in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = 4(-2(-2(2|(2x^2 - 1x - 4) + 2| - 1)^2 - 4(2|(2x^2 - 1x - 4) + 2| - 1) + 5)^2 + 2(-2(2|(2x^2 - 1x - 4) + 2| - 1)^2 - 4(2|(2x^2 - 1x - 4) + 2| - 1) + 5) + 5) and g(x) = -3|(-3|(-2|(2x^2 + 2x + 2) - 2| - 2)| - 1) + 2| in the range -10 ≤ x ≤ 10?

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How many solutions does the equation 1e^(-1((2(2(3|(2|x - 1| + 3) + 1| - 3) - 2) - 2)/(3(2(3|(2|x - 1| + 3) + 1| - 3) - 2) + 1))) - 1 = -1((-1(-3|(-3|x - 1| + 3) - 1| + 3) + 1)/(-3(-3|(-3|x - 1| + 3) - 1| + 3) - 1)) - 4 have for x in the interval [-10, 10]?

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How many points of intersection exist between the functions f(x) = -2(2cos(1π(-4(1(-1|x - 3| - 3) - 5)^2 - 2) - 3)) + 5 and g(x) = -1(-3cos(2π(1|(1x^2 - 5x)| + 1) - 2) - 2) - 1 in the range -10 ≤ x ≤ 10?

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How many solutions does the equation 5(-5((3(-2(4x - 3) + 3) - 1)/(2(-2(4x - 3) + 3) - 1))^2 - 3((3(-2(4x - 3) + 3) - 1)/(2(-2(4x - 3) + 3) - 1)) - 2) - 3 = -1e^(-1((3(-2(-3|x| + 1) - 2) + 3)/(-2(-2(-3|x| + 1) - 2) + 1))) - 2 have for x in the interval [-10, 10]?

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Determine the number of intersection points between the functions f(x) = 1cos(3π(-4(-1((-2(-1|x + 1| - 3) - 2)/(-1(-1|x + 1| - 3) + 3)) - 1) + 3)) - 1 and g(x) = -5(3sin(2π(3(3x^2 + 1x - 5) - 2) + 3)) - 4 where -10 ≤ x ≤ 10.

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Determine the number of intersection points between the functions f(x) = (-2(1e^(2((3((3(-1|x + 2| + 2) + 3)/(3(-1|x + 2| + 2) - 2)) - 2)/(-3((3(-1|x + 2| + 2) + 3)/(3(-1|x + 2| + 2) - 2)) - 1))) + 3) - 1)/(1(1e^(2((3((3(-1|x + 2| + 2) + 3)/(3(-1|x + 2| + 2) - 2)) - 2)/(-3((3(-1|x + 2| + 2) + 3)/(3(-1|x + 2| + 2) - 2)) - 1))) + 3)) and g(x) = -1(5(-3cos(3π(-5x - 2) + 2))^2 + 2(-3cos(3π(-5x - 2) + 2)) + 2) + 3 where -10 ≤ x ≤ 10.

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Determine the number of intersection points between the functions f(x) = 1|(2(-3(-2|(1x - 3) + 2|)^2 - 2(-2|(1x - 3) + 2|) + 5)^2 - 4(-3(-2|(1x - 3) + 2|)^2 - 2(-2|(1x - 3) + 2|) + 5) + 2) - 1| + 1 and g(x) = -1(3sin(2π((-3((2x + 3)/(1x - 3)) + 2)/(3((2x + 3)/(1x - 3)) + 3)) - 1) + 3)^2 + 3(3sin(2π((-3((2x + 3)/(1x - 3)) + 2)/(3((2x + 3)/(1x - 3)) + 3)) - 1) + 3) + 5 where -10 ≤ x ≤ 10.

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Find the number of times the graphs of f(x) = (-3(4(1((2(1e^(1x) - 3) + 3)/(2(1e^(1x) - 3))) - 2) + 3) + 3)/(3(4(1((2(1e^(1x) - 3) + 3)/(2(1e^(1x) - 3))) - 2) + 3) + 1) and g(x) = (3(-1|(-2cos(3π((-1x + 1)/(-3x - 1)) + 1) - 1) - 1| + 1) + 2)/(2(-1|(-2cos(3π((-1x + 1)/(-3x - 1)) + 1) - 1) - 1| + 1)) intersect in the interval [-10, 10].

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[User]
How many solutions does the equation -4((-2(-1|(-2((3x + 1)/(3x + 2)) - 2) + 1| + 2) + 3)/(2(-1|(-2((3x + 1)/(3x + 2)) - 2) + 1| + 2) - 1))^2 - 3((-2(-1|(-2((3x + 1)/(3x + 2)) - 2) + 1| + 2) + 3)/(2(-1|(-2((3x + 1)/(3x + 2)) - 2) + 1| + 2) - 1)) + 5 = (-3(-1|(1(2sin(1πx + 2) + 3)^2 + 5(2sin(1πx + 2) + 3) - 5) + 2| + 2) + 1)/(-1(-1|(1(2sin(1πx + 2) + 3)^2 + 5(2sin(1πx + 2) + 3) - 5) + 2| + 2) + 2) have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = 2|(2(-1(-4(1|x - 1| - 2) - 4)^2 - 4(-4(1|x - 1| - 2) - 4) - 1) - 5) - 2| - 3 and g(x) = 1|(2sin(2π(2(1x + 3)^2 - 4(1x + 3)) + 3) + 3) - 1| - 3 in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = -5(-2sin(1π(4(3((2x + 3)/(1x))^2 + 3((2x + 3)/(1x)) + 2)) - 2) + 3) - 1 and g(x) = 3((2(1e^(-1((2x + 2)/(2x - 3))) - 3) + 1)/(3(1e^(-1((2x + 2)/(2x - 3))) - 3) - 1)) - 5 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = -1|((-3(2e^(1(-3((2x - 3)/(-3x - 1)) - 5)) - 3) - 1)/(-3(2e^(1(-3((2x - 3)/(-3x - 1)) - 5)) - 3) - 1)) - 2| + 1 and g(x) = -1sin(1π(-2|(3(-2|x + 2| + 3)^2 - 3(-2|x + 2| + 3) - 3) - 3| - 2) - 3) - 1 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation -1(1|(1(2|(3e^(-2x) - 1) + 2|)^2) - 3| - 3)^2 + 2(1|(1(2|(3e^(-2x) - 1) + 2|)^2) - 3| - 3) + 1 = (-2(3|(-1cos(1π(4x^2 + 1x + 1) - 1)) + 1| - 2))/(3(3|(-1cos(1π(4x^2 + 1x + 1) - 1)) + 1| - 2) + 1) have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation 3(5(4(-1|(2cos(2πx + 2) - 2) + 2| + 1)^2 + 1(-1|(2cos(2πx + 2) - 2) + 2| + 1) - 3) + 4)^2 - 2 = 5(5((-2(-1cos(2πx - 3) - 1) - 2)/(2(-1cos(2πx - 3) - 1)))^2 + 1((-2(-1cos(2πx - 3) - 1) - 2)/(2(-1cos(2πx - 3) - 1))) - 2)^2 + 3(5((-2(-1cos(2πx - 3) - 1) - 2)/(2(-1cos(2πx - 3) - 1)))^2 + 1((-2(-1cos(2πx - 3) - 1) - 2)/(2(-1cos(2πx - 3) - 1))) - 2) - 2 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = -3(-4(-5(-2|(1|x - 2|) - 2| + 1) + 1)^2 + 1(-5(-2|(1|x - 2|) - 2| + 1) + 1) + 3)^2 - 1(-4(-5(-2|(1|x - 2|) - 2| + 1) + 1)^2 + 1(-5(-2|(1|x - 2|) - 2| + 1) + 1) + 3) + 4 and g(x) = 2((-3(-1(1x - 4)^2 + 5(1x - 4) + 3) - 3)/(-1(-1(1x - 4)^2 + 5(1x - 4) + 3) + 2))^2 - 4((-3(-1(1x - 4)^2 + 5(1x - 4) + 3) - 3)/(-1(-1(1x - 4)^2 + 5(1x - 4) + 3) + 2)) - 5 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = -1((-3((-1(3(1x + 5)^2 - 2(1x + 5) - 2) - 2)/(1(3(1x + 5)^2 - 2(1x + 5) - 2) - 3)) - 3)/(-2((-1(3(1x + 5)^2 - 2(1x + 5) - 2) - 2)/(1(3(1x + 5)^2 - 2(1x + 5) - 2) - 3)) - 2)) - 4 and g(x) = -1(-2|((3(2|x - 1| - 3) + 3)/(-3(2|x - 1| - 3) - 2)) + 2| - 1)^2 - 2(-2|((3(2|x - 1| - 3) + 3)/(-3(2|x - 1| - 3) - 2)) + 2| - 1) + 2 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = -2((-3(-1((3(-1x - 5) + 1)/(1(-1x - 5) + 3))^2 - 4((3(-1x - 5) + 1)/(1(-1x - 5) + 3)) - 5) + 3)/(2(-1((3(-1x - 5) + 1)/(1(-1x - 5) + 3))^2 - 4((3(-1x - 5) + 1)/(1(-1x - 5) + 3)) - 5) + 1)) - 5 and g(x) = -3cos(2π(5(2|((-3x - 1)/(1x + 2)) - 1| + 2)^2 - 4(2|((-3x - 1)/(1x + 2)) - 1| + 2) - 5) + 2) - 2 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation -2(1|(3(-2|(-4x + 4)|)^2 + 2) - 3|) + 4 = -2sin(3π(4(5(-1x^2 + 4x - 4)^2 + 1(-1x^2 + 4x - 4) - 4)^2 - 1(5(-1x^2 + 4x - 4)^2 + 1(-1x^2 + 4x - 4) - 4) - 3) - 2) - 3 have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation (-1(2e^(-2(-3(2(1|x + 2| - 3) + 1)^2 - 2(2(1|x + 2| - 3) + 1) + 3)) - 3) + 3)/(3(2e^(-2(-3(2(1|x + 2| - 3) + 1)^2 - 2(2(1|x + 2| - 3) + 1) + 3)) - 3) + 2) = -1(-3sin(3π(-3(-3x^2 - 3x + 3) - 1) - 1))^2 + 3(-3sin(3π(-3(-3x^2 - 3x + 3) - 1) - 1)) - 2 have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation -1|(-4(-4(-1((-3x + 2)/(3x + 1))^2 + 2((-3x + 2)/(3x + 1)) + 4)^2 - 2(-1((-3x + 2)/(3x + 1))^2 + 2((-3x + 2)/(3x + 1)) + 4))^2 - 4(-4(-1((-3x + 2)/(3x + 1))^2 + 2((-3x + 2)/(3x + 1)) + 4)^2 - 2(-1((-3x + 2)/(3x + 1))^2 + 2((-3x + 2)/(3x + 1)) + 4)) - 2) - 2| - 3 = -1|(-3(5(-2|x + 2| + 3)^2 + 3(-2|x + 2| + 3) + 4)^2 - 5(5(-2|x + 2| + 3)^2 + 3(-2|x + 2| + 3) + 4) + 1) + 3| + 2 have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = -5(-1(-5(-1|(3cos(2πx + 1) + 1) - 2| + 3) + 3)^2 - 3(-5(-1|(3cos(2πx + 1) + 1) - 2| + 3) + 3) + 4) + 1 and g(x) = -5((-2(1|(-1x + 3) - 3| + 1))/(-3(1|(-1x + 3) - 3| + 1) + 2))^2 + 1((-2(1|(-1x + 3) - 3| + 1))/(-3(1|(-1x + 3) - 3| + 1) + 2)) where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation 4(-3sin(2π(2(4(1x^2 - 3x + 4) - 4) - 3) - 1) - 2)^2 - 3(-3sin(2π(2(4(1x^2 - 3x + 4) - 4) - 3) - 1) - 2) - 3 = -2cos(2π(2|(-1((1x + 3)/(-2x - 3))^2 + 4((1x + 3)/(-2x - 3)) - 3) - 1| - 2) - 2) - 2 have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = -1((-3(-2|(-1(1x^2 - 1x + 2) - 2) - 3| + 2) + 1)/(-1(-2|(-1(1x^2 - 1x + 2) - 2) - 3| + 2) + 3))^2 + 5((-3(-2|(-1(1x^2 - 1x + 2) - 2) - 3| + 2) + 1)/(-1(-2|(-1(1x^2 - 1x + 2) - 2) - 3| + 2) + 3)) + 4 and g(x) = (-3(5(-3(2sin(2πx - 3) - 1)^2 + 5(2sin(2πx - 3) - 1) + 2) + 1) - 2)/(-3(5(-3(2sin(2πx - 3) - 1)^2 + 5(2sin(2πx - 3) - 1) + 2) + 1) + 4) intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = -3|(-4((-1(1sin(1π(-1|x + 3|) + 1)))/(1(1sin(1π(-1|x + 3|) + 1))))^2 - 3((-1(1sin(1π(-1|x + 3|) + 1)))/(1(1sin(1π(-1|x + 3|) + 1)))) + 5) - 3| and g(x) = -3((-1((-1(-2cos(3πx - 2) + 2) + 2)/(-3(-2cos(3πx - 2) + 2) + 1)) - 1)/(2((-1(-2cos(3πx - 2) + 2) + 2)/(-3(-2cos(3πx - 2) + 2) + 1)) - 1))^2 - 4((-1((-1(-2cos(3πx - 2) + 2) + 2)/(-3(-2cos(3πx - 2) + 2) + 1)) - 1)/(2((-1(-2cos(3πx - 2) + 2) + 2)/(-3(-2cos(3πx - 2) + 2) + 1)) - 1)) - 3 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = -1|(-5(3|((2((-2x + 3)/(-2x - 1)) + 1)/(3((-2x + 3)/(-2x - 1)) + 2)) - 2| + 2) - 1)| + 2 and g(x) = -2(2(5((3x + 1)/(-1x + 2)) - 5) - 5)^2 - 2(2(5((3x + 1)/(-1x + 2)) - 5) - 5) + 5 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation 2|(1(2cos(2π((2(2x^2 + 5x - 3) - 3)/(1(2x^2 + 5x - 3) + 2)) - 1) - 3) + 2) + 3| = (3((3(-3cos(1π(3x^2 + 1x - 2) - 3) - 2) + 3)/(-2(-3cos(1π(3x^2 + 1x - 2) - 3) - 2) - 3)) + 3)/(-3((3(-3cos(1π(3x^2 + 1x - 2) - 3) - 2) + 3)/(-2(-3cos(1π(3x^2 + 1x - 2) - 3) - 2) - 3)) + 2) have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = -1(2|(-5(2cos(2π(-3|x| + 3) - 1) + 1) - 4) + 1| + 1) + 1 and g(x) = -2|(1|(-3|(-5x - 2) + 2| + 3) + 1| - 2) - 3| intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = -1|(2((-1((-3(2|x - 2| + 3) - 3)/(3(2|x - 2| + 3) + 1)) - 2)/(-1((-3(2|x - 2| + 3) - 3)/(3(2|x - 2| + 3) + 1)) - 2))^2 + 5((-1((-3(2|x - 2| + 3) - 3)/(3(2|x - 2| + 3) + 1)) - 2)/(-1((-3(2|x - 2| + 3) - 3)/(3(2|x - 2| + 3) + 1)) - 2)) + 3) + 3| + 3 and g(x) = (-1(3sin(2π(3|(-4x - 5) + 2| + 2) - 2) - 2) + 2)/(-1(3sin(2π(3|(-4x - 5) + 2| + 2) - 2) - 2)) intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = (-3(5(4(2cos(2π((3x + 1)/(3x + 3)) - 3) + 2) + 4) + 2))/(-1(5(4(2cos(2π((3x + 1)/(3x + 3)) - 3) + 2) + 4) + 2) + 2) and g(x) = 3(5(-3|(2x^2 + 1x - 1) - 1| + 1) + 1) - 2 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation (2(-1|(1|(4(-4x - 1)^2 + 1(-4x - 1) + 2) + 3| + 3)| - 2) + 1)/(2(-1|(1|(4(-4x - 1)^2 + 1(-4x - 1) + 2) + 3| + 3)| - 2) + 3) = 3|(2|((2(-2|x + 3|) - 2)/(3(-2|x + 3|) + 2)) + 1| - 2) - 1| - 2 have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = (-3(3|(1(5(-2|x + 1|) - 2)^2 + 4(5(-2|x + 1|) - 2) - 2) + 3| - 3) - 3)/(2(3|(1(5(-2|x + 1|) - 2)^2 + 4(5(-2|x + 1|) - 2) - 2) + 3| - 3) - 3) and g(x) = -2(-2e^(2(-1(3x^2 - 4x - 5)^2 + 3(3x^2 - 4x - 5) - 5)) + 2)^2 - 1 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = 5((-2(-2(-1cos(3π(3x^2 + 2x + 2) + 1) + 1) + 1))/(1(-2(-1cos(3π(3x^2 + 2x + 2) + 1) + 1) + 1) + 1))^2 + 5((-2(-2(-1cos(3π(3x^2 + 2x + 2) + 1) + 1) + 1))/(1(-2(-1cos(3π(3x^2 + 2x + 2) + 1) + 1) + 1) + 1)) and g(x) = -2((2(-2sin(3π(2x + 1) - 2) - 2))/(-2(-2sin(3π(2x + 1) - 2) - 2) + 1))^2 + 2((2(-2sin(3π(2x + 1) - 2) - 2))/(-2(-2sin(3π(2x + 1) - 2) - 2) + 1)) + 5 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation 1(-4(3cos(2π(4(2x - 1)^2 + 4(2x - 1) - 2) + 1) + 1) - 3)^2 + 4(-4(3cos(2π(4(2x - 1)^2 + 4(2x - 1) - 2) + 1) + 1) - 3) + 2 = (-3(3(-5(1x^2 + 1x - 1)^2 + 3(1x^2 + 1x - 1) - 2)^2 + 3) - 1)/(-3(3(-5(1x^2 + 1x - 1)^2 + 3(1x^2 + 1x - 1) - 2)^2 + 3) - 3) have for x in the interval [-10, 10]?

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[User]
Find the number of times the graphs of f(x) = 3cos(1π(3|(1|((1(3x^2 + 4x - 2) - 3)/(3(3x^2 + 4x - 2) - 2)) - 3| - 1)| - 1) + 1) + 1 and g(x) = -5((2(-2|(-1x + 3) + 3| + 3) - 1)/(3(-2|(-1x + 3) + 3| + 3) - 2)) + 4 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation -2|((-3((-3(-3|((3x - 2)/(-1x + 3)) - 2| + 1))/(-2(-3|((3x - 2)/(-1x + 3)) - 2| + 1) - 3)) + 3)/(-1((-3(-3|((3x - 2)/(-1x + 3)) - 2| + 1))/(-2(-3|((3x - 2)/(-1x + 3)) - 2| + 1) - 3)) - 3)) - 3| - 1 = -4(2cos(2π((-1((2x + 3)/(1x)) - 2)/(1((2x + 3)/(1x)) - 3))) + 3)^2 + 5(2cos(2π((-1((2x + 3)/(1x)) - 2)/(1((2x + 3)/(1x)) - 3))) + 3) - 1 have for x in the interval [-10, 10]?

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[User]
How many solutions does the equation 3(1(2(-3(2cos(3πx) + 2) + 1) - 2)^2 + 1(2(-3(2cos(3πx) + 2) + 1) - 2) - 1)^2 - 2 = 3(5((1(1sin(2πx - 3) + 1) - 1)/(-2(1sin(2πx - 3) + 1) - 2))^2 + 1((1(1sin(2πx - 3) + 1) - 1)/(-2(1sin(2πx - 3) + 1) - 2)) + 4)^2 - 2(5((1(1sin(2πx - 3) + 1) - 1)/(-2(1sin(2πx - 3) + 1) - 2))^2 + 1((1(1sin(2πx - 3) + 1) - 1)/(-2(1sin(2πx - 3) + 1) - 2)) + 4) + 5 have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = (1((-3(2sin(1π((1(3|x - 3| - 2) + 1)/(-1(3|x - 3| - 2) - 3)) - 1) - 1) + 2)/(-1(2sin(1π((1(3|x - 3| - 2) + 1)/(-1(3|x - 3| - 2) - 3)) - 1) - 1) + 2)) + 3)/(1((-3(2sin(1π((1(3|x - 3| - 2) + 1)/(-1(3|x - 3| - 2) - 3)) - 1) - 1) + 2)/(-1(2sin(1π((1(3|x - 3| - 2) + 1)/(-1(3|x - 3| - 2) - 3)) - 1) - 1) + 2)) + 1) and g(x) = 3(-2|(-2sin(1π(2|x - 3| - 3) - 1) + 3) - 3| + 3) + 3 in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = -3(-2((-3(2cos(3π(1x - 3) - 3) + 2) + 2)/(1(2cos(3π(1x - 3) - 3) + 2)))^2 + 4((-3(2cos(3π(1x - 3) - 3) + 2) + 2)/(1(2cos(3π(1x - 3) - 3) + 2))) - 3)^2 - 4(-2((-3(2cos(3π(1x - 3) - 3) + 2) + 2)/(1(2cos(3π(1x - 3) - 3) + 2)))^2 + 4((-3(2cos(3π(1x - 3) - 3) + 2) + 2)/(1(2cos(3π(1x - 3) - 3) + 2))) - 3) + 4 and g(x) = -1cos(1π(-3|(1(-2x^2 + 5x + 2) + 2) - 3| - 3) + 1) + 1 where -10 ≤ x ≤ 10.

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[User]
Find the number of times the graphs of f(x) = 2(-1|((3(-5(5x^2 - 5x - 1) + 4) + 2)/(3(-5(5x^2 - 5x - 1) + 4) - 2))| + 2) + 5 and g(x) = -2((1(-2(3x - 3)^2 + 1(3x - 3) + 3) - 3)/(-3(-2(3x - 3)^2 + 1(3x - 3) + 3) - 3)) + 3 intersect in the interval [-10, 10].

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[User]
Find the number of times the graphs of f(x) = -2|((-2(-3|(-1|(-4x^2 - 2x - 2)| - 3) - 1| - 1) - 2)/(-3(-3|(-1|(-4x^2 - 2x - 2)| - 3) - 1| - 1) - 3)) - 1| + 2 and g(x) = -4(3cos(3π(2|(3x - 2) - 2| - 3)) + 1)^2 + 5(3cos(3π(2|(3x - 2) - 2| - 3)) + 1) + 1 intersect in the interval [-10, 10].

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[User]
Determine the number of intersection points between the functions f(x) = 1|(1|(4(-2|(-3|x - 1| + 3) - 1| + 3)^2 + 5(-2|(-3|x - 1| + 3) - 1| + 3) + 4) + 3|) + 2| + 2 and g(x) = 1(5(2sin(2π(2x - 4) - 2) + 3)^2 - 3(2sin(2π(2x - 4) - 2) + 3) - 4)^2 - 2(5(2sin(2π(2x - 4) - 2) + 3)^2 - 3(2sin(2π(2x - 4) - 2) + 3) - 4) - 2 where -10 ≤ x ≤ 10.

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[User]
Determine the number of intersection points between the functions f(x) = 3(2(-3|(-2sin(1π(-3|x + 1|) + 1) - 2) - 3| + 3)^2 + 4(-3|(-2sin(1π(-3|x + 1|) + 1) - 2) - 3| + 3) + 1)^2 + 5(2(-3|(-2sin(1π(-3|x + 1|) + 1) - 2) - 3| + 3)^2 + 4(-3|(-2sin(1π(-3|x + 1|) + 1) - 2) - 3| + 3) + 1) and g(x) = 4(-5(-1|(-1e^(2x) + 1) - 2| - 1)^2 + 3(-1|(-1e^(2x) + 1) - 2| - 1) + 4)^2 - 3(-5(-1|(-1e^(2x) + 1) - 2| - 1)^2 + 3(-1|(-1e^(2x) + 1) - 2| - 1) + 4) - 4 where -10 ≤ x ≤ 10.

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[User]
How many points of intersection exist between the functions f(x) = 2|((3(5(-2sin(2π(3|x - 1| + 3) - 2) - 1) + 5) - 2)/(-1(5(-2sin(2π(3|x - 1| + 3) - 2) - 1) + 5) - 3)) - 2| - 2 and g(x) = 2(-2cos(1π(3(3|x + 1| + 2)^2 + 3(3|x + 1| + 2) + 4) - 1) - 2) in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = (1(-2(-1|(-2(-2x + 1) - 1) - 2| - 1) + 5) - 1)/(2(-2(-1|(-2(-2x + 1) - 1) - 2| - 1) + 5) + 2) and g(x) = 2sin(3π(-4(1((2x - 2)/(-2x - 2))^2 + 5((2x - 2)/(-2x - 2)) + 1) + 2) - 3) intersect in the interval [-10, 10].

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[User]
How many points of intersection exist between the functions f(x) = (2(-3(-3|((2(-1x^2 - 5x - 2))/(2(-1x^2 - 5x - 2) - 1)) + 1| + 3)^2 - 5(-3|((2(-1x^2 - 5x - 2))/(2(-1x^2 - 5x - 2) - 1)) + 1| + 3) + 2) - 1)/(-3(-3(-3|((2(-1x^2 - 5x - 2))/(2(-1x^2 - 5x - 2) - 1)) + 1| + 3)^2 - 5(-3|((2(-1x^2 - 5x - 2))/(2(-1x^2 - 5x - 2) - 1)) + 1| + 3) + 2) - 1) and g(x) = (1((3((-1(-4x - 4) + 3)/(-1(-4x - 4) + 2)) - 2)/(-3((-1(-4x - 4) + 3)/(-1(-4x - 4) + 2)) + 1)) - 3)/(3((3((-1(-4x - 4) + 3)/(-1(-4x - 4) + 2)) - 2)/(-3((-1(-4x - 4) + 3)/(-1(-4x - 4) + 2)) + 1)) - 2) in the range -10 ≤ x ≤ 10?

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[User]
How many points of intersection exist between the functions f(x) = 3|(-2((-1(-2|(-1|x - 2| + 1) + 2| + 2) + 2)/(-1(-2|(-1|x - 2| + 1) + 2| + 2) - 1)) + 3) + 1| + 2 and g(x) = 2|(-5(-3(-3x^2 - 2x + 5)^2 + 1(-3x^2 - 2x + 5) + 1)^2 + 5(-3(-3x^2 - 2x + 5)^2 + 1(-3x^2 - 2x + 5) + 1) + 5) - 3| - 3 in the range -10 ≤ x ≤ 10?

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[User]
Find the number of times the graphs of f(x) = 1(1((2(-1sin(3π(-5x + 1) - 3) + 1) + 3)/(-3(-1sin(3π(-5x + 1) - 3) + 1) - 3)) - 4) + 5 and g(x) = -4(2|(-3(3x + 5) - 3) + 1| - 2)^2 + 1(2|(-3(3x + 5) - 3) + 1| - 2) + 3 intersect in the interval [-10, 10].

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[User]
How many solutions does the equation (1((-1(2|(-2(1x^2 + 1x - 3)^2 + 3(1x^2 + 1x - 3) + 3) - 2|))/(2(2|(-2(1x^2 + 1x - 3)^2 + 3(1x^2 + 1x - 3) + 3) - 2|) + 1)) + 3)/(-2((-1(2|(-2(1x^2 + 1x - 3)^2 + 3(1x^2 + 1x - 3) + 3) - 2|))/(2(2|(-2(1x^2 + 1x - 3)^2 + 3(1x^2 + 1x - 3) + 3) - 2|) + 1)) - 3) = -2cos(3π(3|(-4((-2x + 3)/(1x - 3)) - 4) - 2| + 3)) - 3 have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = 3|((-2(-3(5(4x + 2)^2 + 5(4x + 2) - 3) - 1) - 2)/(1(-3(5(4x + 2)^2 + 5(4x + 2) - 3) - 1))) - 1| + 3 and g(x) = -4(2|(3|(-2cos(3πx + 2) + 1) + 1|) - 2| - 3) + 5 in the range -10 ≤ x ≤ 10?

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[User]
How many solutions does the equation (-1((2(4(1(1x - 3)^2 - 1(1x - 3) - 2)) + 2)/(1(4(1(1x - 3)^2 - 1(1x - 3) - 2)))) + 2)/(-2((2(4(1(1x - 3)^2 - 1(1x - 3) - 2)) + 2)/(1(4(1(1x - 3)^2 - 1(1x - 3) - 2))))) = (1(-1cos(2π(-4(4x + 3)^2 + 2(4x + 3) + 2) - 3) - 2) + 2)/(2(-1cos(2π(-4(4x + 3)^2 + 2(4x + 3) + 2) - 3) - 2) - 1) have for x in the interval [-10, 10]?

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[User]
Determine the number of intersection points between the functions f(x) = (3(-1|((2((-1(2|x| - 3) + 3)/(-1(2|x| - 3) - 2)) - 3)/(3((-1(2|x| - 3) + 3)/(-1(2|x| - 3) - 2)) + 1)) - 3| + 1) - 3)/(2(-1|((2((-1(2|x| - 3) + 3)/(-1(2|x| - 3) - 2)) - 3)/(3((-1(2|x| - 3) + 3)/(-1(2|x| - 3) - 2)) + 1)) - 3| + 1) + 2) and g(x) = -3cos(2π(5(2(-1|x - 1|)^2 - 4(-1|x - 1|) - 5)^2 - 5(2(-1|x - 1|)^2 - 4(-1|x - 1|) - 5) - 4) + 2) - 1 where -10 ≤ x ≤ 10.

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[User]
How many solutions does the equation 1(1(2((2((-2x + 2)/(-3x + 4)) - 1)/(2((-2x + 2)/(-3x + 4)) + 1))^2 - 3((2((-2x + 2)/(-3x + 4)) - 1)/(2((-2x + 2)/(-3x + 4)) + 1)) - 3)^2 + 2(2((2((-2x + 2)/(-3x + 4)) - 1)/(2((-2x + 2)/(-3x + 4)) + 1))^2 - 3((2((-2x + 2)/(-3x + 4)) - 1)/(2((-2x + 2)/(-3x + 4)) + 1)) - 3) + 3)^2 - 1(1(2((2((-2x + 2)/(-3x + 4)) - 1)/(2((-2x + 2)/(-3x + 4)) + 1))^2 - 3((2((-2x + 2)/(-3x + 4)) - 1)/(2((-2x + 2)/(-3x + 4)) + 1)) - 3)^2 + 2(2((2((-2x + 2)/(-3x + 4)) - 1)/(2((-2x + 2)/(-3x + 4)) + 1))^2 - 3((2((-2x + 2)/(-3x + 4)) - 1)/(2((-2x + 2)/(-3x + 4)) + 1)) - 3) + 3) - 4 = (-2((-1(-1|(-1cos(1πx) + 1) - 2| - 1) + 1)/(2(-1|(-1cos(1πx) + 1) - 2| - 1) - 1)) - 2)/(3((-1(-1|(-1cos(1πx) + 1) - 2| - 1) + 1)/(2(-1|(-1cos(1πx) + 1) - 2| - 1) - 1)) - 2) have for x in the interval [-10, 10]?

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[User]
How many points of intersection exist between the functions f(x) = 3((2(3(-1(2x + 4)^2 + 2(2x + 4)) - 4))/(-2(3(-1(2x + 4)^2 + 2(2x + 4)) - 4) - 2))^2 - 1((2(3(-1(2x + 4)^2 + 2(2x + 4)) - 4))/(-2(3(-1(2x + 4)^2 + 2(2x + 4)) - 4) - 2)) + 5 and g(x) = (-3(-3sin(2π((3(-2x + 5) + 2)/(-1(-2x + 5))) - 3)) - 1)/(2(-3sin(2π((3(-2x + 5) + 2)/(-1(-2x + 5))) - 3)) + 2) in the range -10 ≤ x ≤ 10?

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[User]
Determine the number of intersection points between the functions f(x) = 2|((2(1|(4((1x - 3)/(2x + 2)) - 3) + 1| - 1) - 3)/(-1(1|(4((1x - 3)/(2x + 2)) - 3) + 1| - 1) - 3)) - 3| - 1 and g(x) = 3|(-1|(-2(2e^(-1x) - 1) + 1) + 1| + 2) + 1| + 2 where -10 ≤ x ≤ 10.

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