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

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

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

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

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

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

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

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

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

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

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

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

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[User]
How many solutions does the equation (3(4(4(-1|(-1|(3|x + 2|) + 1| + 3) + 1| + 1) - 3) + 2) - 1)/(2(4(4(-1|(-1|(3|x + 2|) + 1| + 3) + 1| + 1) - 3) + 2) + 3) = 2sin(2π(-3(-2|((-2(-3x + 2))/(-2(-3x + 2) + 3)) - 2| - 1)^2 - 1(-2|((-2(-3x + 2))/(-2(-3x + 2) + 3)) - 2| - 1) - 4) - 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) = (-3((-3(2|(4(-2sin(2π(2|x + 3| - 3) - 3) - 2)^2 - 2(-2sin(2π(2|x + 3| - 3) - 3) - 2) + 3)| - 3) + 2)/(-1(2|(4(-2sin(2π(2|x + 3| - 3) - 3) - 2)^2 - 2(-2sin(2π(2|x + 3| - 3) - 3) - 2) + 3)| - 3) + 3)) + 3)/(-1((-3(2|(4(-2sin(2π(2|x + 3| - 3) - 3) - 2)^2 - 2(-2sin(2π(2|x + 3| - 3) - 3) - 2) + 3)| - 3) + 2)/(-1(2|(4(-2sin(2π(2|x + 3| - 3) - 3) - 2)^2 - 2(-2sin(2π(2|x + 3| - 3) - 3) - 2) + 3)| - 3) + 3))) and g(x) = -3(3sin(1π(3|(-1|(-4x^2) + 2|) - 3| + 3) + 2) + 2)^2 - 4(3sin(1π(3|(-1|(-4x^2) + 2|) - 3| + 3) + 2) + 2) + 3 in the range -10 ≤ x ≤ 10?

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

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[User]
How many solutions does the equation 3(-3(-3cos(2π(-5(-3|((-2x + 2)/(1x - 3)) - 3| + 3) - 2) - 1))^2 - 3(-3cos(2π(-5(-3|((-2x + 2)/(1x - 3)) - 3| + 3) - 2) - 1)) - 5) + 5 = -3|(1|((-3(-1(1x^2 - 4x + 4)^2 + 3(1x^2 - 4x + 4) + 5) - 2)/(-2(-1(1x^2 - 4x + 4)^2 + 3(1x^2 - 4x + 4) + 5) + 3)) + 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((3(-1|(4(3|(-2x^2 - 1x + 4) + 1| + 2)^2 - 2(3|(-2x^2 - 1x + 4) + 1| + 2) + 2) - 1|) + 3)/(-2(-1|(4(3|(-2x^2 - 1x + 4) + 1| + 2)^2 - 2(3|(-2x^2 - 1x + 4) + 1| + 2) + 2) - 1|) + 3)) - 2 and g(x) = (-2(-2sin(3π(-1((-3(5x^2 - 5x) + 3)/(2(5x^2 - 5x))) - 4) - 2)) - 2)/(2(-2sin(3π(-1((-3(5x^2 - 5x) + 3)/(2(5x^2 - 5x))) - 4) - 2)) - 1) in the range -10 ≤ x ≤ 10?

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

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How many solutions does the equation -1|(3((-2(-5(1e^(-1(3|x - 3|)))^2 - 4(1e^(-1(3|x - 3|))) - 5) + 1)/(-2(-5(1e^(-1(3|x - 3|)))^2 - 4(1e^(-1(3|x - 3|))) - 5) - 3))^2 + 2((-2(-5(1e^(-1(3|x - 3|)))^2 - 4(1e^(-1(3|x - 3|))) - 5) + 1)/(-2(-5(1e^(-1(3|x - 3|)))^2 - 4(1e^(-1(3|x - 3|))) - 5) - 3)) - 5) - 1| - 2 = 4(2|(3cos(2π(-4(-3x^2 + 4x - 3) + 3) - 3) - 1) - 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) = 3(2|((-1(-5(-2cos(3π(1x + 5)) - 2) - 4) - 2)/(-2(-5(-2cos(3π(1x + 5)) - 2) - 4))) - 1| + 2)^2 - 1(2|((-1(-5(-2cos(3π(1x + 5)) - 2) - 4) - 2)/(-2(-5(-2cos(3π(1x + 5)) - 2) - 4))) - 1| + 2) + 5 and g(x) = 5(-4(-1(2(1x^2 + 4x + 3)^2 - 3(1x^2 + 4x + 3) - 5) + 1) - 1) + 5 where -10 ≤ x ≤ 10.

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

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

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

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

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

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

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How many solutions does the equation -3sin(3π(3(2|((2(-2|((2x - 1)/(-3x + 4)) - 2| + 3) + 1)/(-3(-2|((2x - 1)/(-3x + 4)) - 2| + 3) + 4)) - 2| + 1)^2 - 3(2|((2(-2|((2x - 1)/(-3x + 4)) - 2| + 3) + 1)/(-3(-2|((2x - 1)/(-3x + 4)) - 2| + 3) + 4)) - 2| + 1) + 2) + 2) - 3 = 1(-1|(2|(-4(4x^2 - 3x - 3) + 1) - 1| + 1) - 1|)^2 + 4(-1|(2|(-4(4x^2 - 3x - 3) + 1) - 1| + 1) - 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) = (-3(-3cos(2π(-1((-2(5(-3x - 1) - 1) + 3)/(-3(5(-3x - 1) - 1) + 2))^2 - 2((-2(5(-3x - 1) - 1) + 3)/(-3(5(-3x - 1) - 1) + 2)) + 3) + 3)) + 1)/(3(-3cos(2π(-1((-2(5(-3x - 1) - 1) + 3)/(-3(5(-3x - 1) - 1) + 2))^2 - 2((-2(5(-3x - 1) - 1) + 3)/(-3(5(-3x - 1) - 1) + 2)) + 3) + 3)) + 2) and g(x) = (3(-1(2e^(-1(2|(2|x - 2| - 3)| + 3)) - 3)^2 - 2(2e^(-1(2|(2|x - 2| - 3)| + 3)) - 3) + 4) + 3)/(3(-1(2e^(-1(2|(2|x - 2| - 3)| + 3)) - 3)^2 - 2(2e^(-1(2|(2|x - 2| - 3)| + 3)) - 3) + 4) + 3) where -10 ≤ x ≤ 10.

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

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

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

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Find the number of times the graphs of f(x) = -2|(2|((-2(-3(4(2x + 2)^2 - 5(2x + 2) + 3) + 2) - 2)/(-3(-3(4(2x + 2)^2 - 5(2x + 2) + 3) + 2) + 1)) + 1| - 2) + 2| - 2 and g(x) = -3|(1(4(2|(1x^2 - 4)| - 2)^2 - 3(2|(1x^2 - 4)| - 2) + 5)^2 - 5(4(2|(1x^2 - 4)| - 2)^2 - 3(2|(1x^2 - 4)| - 2) + 5) - 2) + 2| + 1 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(-2((2((3x + 3)/(2x - 3)) - 2)/(-1((3x + 3)/(2x - 3)) - 3)) + 3) + 3)/(1(-2((2((3x + 3)/(2x - 3)) - 2)/(-1((3x + 3)/(2x - 3)) - 3)) + 3) + 1)) + 2)/(2((1(-2((2((3x + 3)/(2x - 3)) - 2)/(-1((3x + 3)/(2x - 3)) - 3)) + 3) + 3)/(1(-2((2((3x + 3)/(2x - 3)) - 2)/(-1((3x + 3)/(2x - 3)) - 3)) + 3) + 1)) - 3))^2 + 1((2((1(-2((2((3x + 3)/(2x - 3)) - 2)/(-1((3x + 3)/(2x - 3)) - 3)) + 3) + 3)/(1(-2((2((3x + 3)/(2x - 3)) - 2)/(-1((3x + 3)/(2x - 3)) - 3)) + 3) + 1)) + 2)/(2((1(-2((2((3x + 3)/(2x - 3)) - 2)/(-1((3x + 3)/(2x - 3)) - 3)) + 3) + 3)/(1(-2((2((3x + 3)/(2x - 3)) - 2)/(-1((3x + 3)/(2x - 3)) - 3)) + 3) + 1)) - 3)) + 5 and g(x) = -5(1|(-3|(-1|(-3sin(1πx - 1) - 2) + 3| + 1) - 2|) - 2| + 1)^2 - 3(1|(-3|(-1|(-3sin(1πx - 1) - 2) + 3| + 1) - 2|) - 2| + 1) + 5 where -10 ≤ x ≤ 10.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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How many solutions does the equation (2(1(4(-1cos(2π(4(1|x - 2| + 3) + 3) - 3) - 2) - 4) + 4))/(3(1(4(-1cos(2π(4(1|x - 2| + 3) + 3) - 3) - 2) - 4) + 4) + 2) = (-1(3(1cos(3π(4((-2x - 1)/(2x - 1)) - 5) - 3) - 1) + 1) - 1)/(3(3(1cos(3π(4((-2x - 1)/(2x - 1)) - 5) - 3) - 1) + 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) = (1(3(-1|(-1|(-4(-1x - 2) + 1) + 2|) + 3| - 3) + 5) + 2)/(-2(3(-1|(-1|(-4(-1x - 2) + 1) + 2|) + 3| - 3) + 5) - 3) and g(x) = (-3(-1|(-1(1(-3|x| + 1) + 4)^2 - 3(1(-3|x| + 1) + 4) - 4) + 2| + 1) - 3)/(2(-1|(-1(1(-3|x| + 1) + 4)^2 - 3(1(-3|x| + 1) + 4) - 4) + 2| + 1) + 1) where -10 ≤ x ≤ 10.

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How many solutions does the equation -1|(2|(-2((2(-1|((-2x + 3)/(3x + 3)) + 1| + 2) - 2)/(-1(-1|((-2x + 3)/(3x + 3)) + 1| + 2) + 2)) - 1) - 2| - 2)| + 3 = 1(5(-1sin(2π((2(-2|x + 1| + 1) + 2)/(-2(-2|x + 1| + 1) - 3)) + 2)) - 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) = 1sin(3π(-2|(-4((-2(-1((1x + 1)/(-2x)) - 3) + 3)/(3(-1((1x + 1)/(-2x)) - 3)))^2 - 5((-2(-1((1x + 1)/(-2x)) - 3) + 3)/(3(-1((1x + 1)/(-2x)) - 3))) - 2)| + 3) + 3) + 2 and g(x) = (1(2((-1(2|(2sin(3πx - 2) - 1) + 3| + 3) + 1)/(-2(2|(2sin(3πx - 2) - 1) + 3| + 3))) + 1) + 1)/(1(2((-1(2|(2sin(3πx - 2) - 1) + 3| + 3) + 1)/(-2(2|(2sin(3πx - 2) - 1) + 3| + 3))) + 1)) in the range -10 ≤ x ≤ 10?

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

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

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How many solutions does the equation (-2((-1((3(-2|(4((3x)/(3x + 2)) - 4) - 1|) + 2)/(3(-2|(4((3x)/(3x + 2)) - 4) - 1|) + 1)))/(1((3(-2|(4((3x)/(3x + 2)) - 4) - 1|) + 2)/(3(-2|(4((3x)/(3x + 2)) - 4) - 1|) + 1)))) - 1)/(2((-1((3(-2|(4((3x)/(3x + 2)) - 4) - 1|) + 2)/(3(-2|(4((3x)/(3x + 2)) - 4) - 1|) + 1)))/(1((3(-2|(4((3x)/(3x + 2)) - 4) - 1|) + 2)/(3(-2|(4((3x)/(3x + 2)) - 4) - 1|) + 1)))) - 1) = 2|((3(-2(2|(5x + 4) + 3| - 2)^2 - 2(2|(5x + 4) + 3| - 2) + 2) - 2)/(-1(-2(2|(5x + 4) + 3| - 2)^2 - 2(2|(5x + 4) + 3| - 2) + 2) - 1)) - 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) = -1|(-2sin(3π(-1(3|((-1(5x) - 1)/(2(5x) + 3)) - 2| + 3)^2 - 2(3|((-1(5x) - 1)/(2(5x) + 3)) - 2| + 3) + 4) + 2) + 1) + 3| + 3 and g(x) = (-2(1(3(2(4x^2 + 5x - 5) + 5) - 3) - 2) + 2)/(2(1(3(2(4x^2 + 5x - 5) + 5) - 3) - 2) - 1) where -10 ≤ x ≤ 10.

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

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

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

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

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

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How many solutions does the equation -4(-1|((-1(1e^(1(-5(2|x - 1| + 3) + 2)) - 3) - 3)/(1(1e^(1(-5(2|x - 1| + 3) + 2)) - 3))) + 1| - 1) - 5 = -5(1(1|(-2(-4x^2 + 1x + 2) - 4) - 1| - 2)^2 - 4(1|(-2(-4x^2 + 1x + 2) - 4) - 1| - 2) + 2) - 3 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(-3(2|(-4(-2cos(3πx + 3) - 1) + 2) - 3|)^2 - 3(2|(-4(-2cos(3πx + 3) - 1) + 2) - 3|))^2 - 5(-3(2|(-4(-2cos(3πx + 3) - 1) + 2) - 3|)^2 - 3(2|(-4(-2cos(3πx + 3) - 1) + 2) - 3|))) - 2| - 2 and g(x) = (-1(2sin(3π(1|(-3(1x^2 - 5)^2 + 5(1x^2 - 5) - 2) + 3|) + 2) - 2) + 3)/(3(2sin(3π(1|(-3(1x^2 - 5)^2 + 5(1x^2 - 5) - 2) + 3|) + 2) - 2) + 3) where -10 ≤ x ≤ 10.

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

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[User]
How many solutions does the equation -3(-5(1(-1|(-1|(-2x^2 + 1x - 3) + 3| + 1) - 2| - 2) + 4)^2 - 2(1(-1|(-1|(-2x^2 + 1x - 3) + 3| + 1) - 2| - 2) + 4) + 1) + 3 = 1|(-3|(-1|((-3(3e^(1x) - 2) + 3)/(-1(3e^(1x) - 2) + 2)) + 1| - 3) + 3| - 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) = 2(4(-2sin(2π(-2((3(4x - 5) - 1)/(-2(4x - 5) + 1))^2 + 5((3(4x - 5) - 1)/(-2(4x - 5) + 1)) - 5) - 3) + 1)^2 - 5(-2sin(2π(-2((3(4x - 5) - 1)/(-2(4x - 5) + 1))^2 + 5((3(4x - 5) - 1)/(-2(4x - 5) + 1)) - 5) - 3) + 1) + 4)^2 - 5(4(-2sin(2π(-2((3(4x - 5) - 1)/(-2(4x - 5) + 1))^2 + 5((3(4x - 5) - 1)/(-2(4x - 5) + 1)) - 5) - 3) + 1)^2 - 5(-2sin(2π(-2((3(4x - 5) - 1)/(-2(4x - 5) + 1))^2 + 5((3(4x - 5) - 1)/(-2(4x - 5) + 1)) - 5) - 3) + 1) + 4) - 5 and g(x) = 1(5(1(3(-1x + 1) - 2)^2 - 3) - 4)^2 + 3(5(1(3(-1x + 1) - 2)^2 - 3) - 4) - 4 intersect in the interval [-10, 10].

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

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

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

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

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

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

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

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

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

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

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How many solutions does the equation -1(3(-2|(5(1((-2x + 1)/(1x - 2)))^2 + 5(1((-2x + 1)/(1x - 2))) - 1) + 1| + 2) + 3)^2 - 4(3(-2|(5(1((-2x + 1)/(1x - 2)))^2 + 5(1((-2x + 1)/(1x - 2))) - 1) + 1| + 2) + 3) + 3 = 2|(-1|(2(2cos(1π(-4x^2 + 3x + 5)) - 2)^2 + 4(2cos(1π(-4x^2 + 3x + 5)) - 2)) - 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(-1cos(1π(-5(2|(-1|(1x - 3) + 1|) - 3|) - 1)) + 2) - 4 and g(x) = 1(-5((2(-1((2x + 3)/(-2x - 2))^2 + 4((2x + 3)/(-2x - 2)) + 3) - 3)/(2(-1((2x + 3)/(-2x - 2))^2 + 4((2x + 3)/(-2x - 2)) + 3))) - 1) - 1 in the range -10 ≤ x ≤ 10?

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

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

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How many solutions does the equation 2(-2(1|(5(-3|(2|x + 3| - 1) - 2| + 1) + 1) - 1| + 3) - 3) = -2|(-2|((-2(-2sin(3π(-1|x + 3| - 3))) + 2)/(1(-2sin(3π(-1|x + 3| - 3))))) - 3| - 2) - 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(-3|(2|(5(-1((-1x - 2)/(-2x - 2))^2 + 4((-1x - 2)/(-2x - 2)) - 4)^2 - 2(-1((-1x - 2)/(-2x - 2))^2 + 4((-1x - 2)/(-2x - 2)) - 4)) - 1| + 2) - 3| + 2) - 2 and g(x) = 2cos(1π((-1(-4(3((-1x + 1)/(-3x - 1))^2 + 3((-1x + 1)/(-3x - 1)) + 3) - 5) - 2)/(-1(-4(3((-1x + 1)/(-3x - 1))^2 + 3((-1x + 1)/(-3x - 1)) + 3) - 5) + 3)) + 2) + 2 intersect in the interval [-10, 10].

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

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

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

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

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

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

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Find the number of times the graphs of f(x) = 1(-2(5(-1|(-2(1x^2 - 3x + 1)^2 + 5(1x^2 - 3x + 1) + 2) - 1| + 2)^2 - 1(-1|(-2(1x^2 - 3x + 1)^2 + 5(1x^2 - 3x + 1) + 2) - 1| + 2))^2 + 4(5(-1|(-2(1x^2 - 3x + 1)^2 + 5(1x^2 - 3x + 1) + 2) - 1| + 2)^2 - 1(-1|(-2(1x^2 - 3x + 1)^2 + 5(1x^2 - 3x + 1) + 2) - 1| + 2)) + 3) - 3 and g(x) = (3(-2(1(1|((1x - 3)/(3x - 2)) + 3| + 1) - 3)^2 - 2(1(1|((1x - 3)/(3x - 2)) + 3| + 1) - 3) + 4) + 3)/(-2(-2(1(1|((1x - 3)/(3x - 2)) + 3| + 1) - 3)^2 - 2(1(1|((1x - 3)/(3x - 2)) + 3| + 1) - 3) + 4) + 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(-3(-2sin(2π(-4x - 2) + 3) - 2)^2 + 1(-2sin(2π(-4x - 2) + 3) - 2) + 5) + 1)/(-1(-3(-2sin(2π(-4x - 2) + 3) - 2)^2 + 1(-2sin(2π(-4x - 2) + 3) - 2) + 5) + 2)) + 3)^2 - 1(1((3(-3(-2sin(2π(-4x - 2) + 3) - 2)^2 + 1(-2sin(2π(-4x - 2) + 3) - 2) + 5) + 1)/(-1(-3(-2sin(2π(-4x - 2) + 3) - 2)^2 + 1(-2sin(2π(-4x - 2) + 3) - 2) + 5) + 2)) + 3) - 2 and g(x) = (-1(-5(-3((2(1|x + 3| + 2) - 1)/(-1(1|x + 3| + 2) + 3)) - 4)^2 - 4(-3((2(1|x + 3| + 2) - 1)/(-1(1|x + 3| + 2) + 3)) - 4) + 2) + 2)/(-3(-5(-3((2(1|x + 3| + 2) - 1)/(-1(1|x + 3| + 2) + 3)) - 4)^2 - 4(-3((2(1|x + 3| + 2) - 1)/(-1(1|x + 3| + 2) + 3)) - 4) + 2) + 1) where -10 ≤ x ≤ 10.

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

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

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

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

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

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

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

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

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How many solutions does the equation 5(-1e^(1((-3(4(3|(3x^2 - 5x + 5) - 1| + 2) + 3) - 2)/(3(4(3|(3x^2 - 5x + 5) - 1| + 2) + 3)))) + 2) - 1 = (-1(-2sin(2π(-1|(-5(-1x^2 + 1x - 2) - 5) + 3| - 2) + 1) - 2))/(1(-2sin(2π(-1|(-5(-1x^2 + 1x - 2) - 5) + 3| - 2) + 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) = 1(-4(-3(-3cos(1π(-3|((-2x + 2)/(-2x - 3)) + 3| + 1) - 3)) - 3) - 1) + 4 and g(x) = (-2((-2((1(2e^(2(5x + 5)) + 2) - 1)/(2(2e^(2(5x + 5)) + 2) - 1)) - 1)/(-2((1(2e^(2(5x + 5)) + 2) - 1)/(2(2e^(2(5x + 5)) + 2) - 1)))) - 1)/(-3((-2((1(2e^(2(5x + 5)) + 2) - 1)/(2(2e^(2(5x + 5)) + 2) - 1)) - 1)/(-2((1(2e^(2(5x + 5)) + 2) - 1)/(2(2e^(2(5x + 5)) + 2) - 1)))) - 3) in the range -10 ≤ x ≤ 10?

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

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How many solutions does the equation -3|((2(-1|(-1|(1(2sin(2πx) - 2)^2 - 2(2sin(2πx) - 2) - 3) + 3| + 3) + 1| + 1) + 1)/(2(-1|(-1|(1(2sin(2πx) - 2)^2 - 2(2sin(2πx) - 2) - 3) + 3| + 3) + 1| + 1) - 3)) + 2| + 3 = 4(1sin(1π(3(-1|(-3|x - 3|) + 3| + 1) + 2)) + 2)^2 - 1(1sin(1π(3(-1|(-3|x - 3|) + 3| + 1) + 2)) + 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(3((-2(-3(-4(2cos(1πx + 1) + 3) - 4)^2 - 3(-4(2cos(1πx + 1) + 3) - 4)) + 1)/(3(-3(-4(2cos(1πx + 1) + 3) - 4)^2 - 3(-4(2cos(1πx + 1) + 3) - 4)) + 2))^2 - 2((-2(-3(-4(2cos(1πx + 1) + 3) - 4)^2 - 3(-4(2cos(1πx + 1) + 3) - 4)) + 1)/(3(-3(-4(2cos(1πx + 1) + 3) - 4)^2 - 3(-4(2cos(1πx + 1) + 3) - 4)) + 2)) + 2) and g(x) = 3|(-4(3cos(3π(1|(-2|x + 2| - 2) - 2|) + 2) + 2) - 2) - 2| + 3 where -10 ≤ x ≤ 10.

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

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

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

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

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

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

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How many solutions does the equation 2cos(3π((-1((1(-4(2((-3x - 1)/(2x + 1)) - 2)^2 - 2) - 3)/(-3(-4(2((-3x - 1)/(2x + 1)) - 2)^2 - 2) + 4)) + 3)/(1((1(-4(2((-3x - 1)/(2x + 1)) - 2)^2 - 2) - 3)/(-3(-4(2((-3x - 1)/(2x + 1)) - 2)^2 - 2) + 4)) + 1)) + 3) - 2 = 1((-2(-4(3cos(2π((3x)/(3x - 2)) - 1) - 3)^2 + 3(3cos(2π((3x)/(3x - 2)) - 1) - 3) + 4) + 1)/(-1(-4(3cos(2π((3x)/(3x - 2)) - 1) - 3)^2 + 3(3cos(2π((3x)/(3x - 2)) - 1) - 3) + 4) - 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(-3(-1(-4(1(-3x^2) + 5)^2 + 3(1(-3x^2) + 5) + 5)^2 - 1(-4(1(-3x^2) + 5)^2 + 3(1(-3x^2) + 5) + 5) - 1) - 4) - 3 and g(x) = (-3(1(4(-1(-2|x + 2| + 3) + 3) - 5) + 2) + 1)/(2(1(4(-1(-2|x + 2| + 3) + 3) - 5) + 2) - 3) in the range -10 ≤ x ≤ 10?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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How many solutions does the equation -3(-1(3(-1sin(3π(-1|(-1x - 3) + 2| + 3) - 1) + 2)) + 5)^2 - 4(-1(3(-1sin(3π(-1|(-1x - 3) + 2| + 3) - 1) + 2)) + 5) + 5 = -2(2e^(1((-3(-1|((-2x + 2)/(-2x + 3)) - 3| + 2) + 2)/(1(-1|((-2x + 2)/(-2x + 3)) - 3| + 2) + 1))) - 1)^2 - 2(2e^(1((-3(-1|((-2x + 2)/(-2x + 3)) - 3| + 2) + 2)/(1(-1|((-2x + 2)/(-2x + 3)) - 3| + 2) + 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) = (-1((-2((2((2((-2(1x^2 - 2x - 2) - 3)/(-1(1x^2 - 2x - 2) - 3)) + 3)/(-3((-2(1x^2 - 2x - 2) - 3)/(-1(1x^2 - 2x - 2) - 3)) + 4)) + 2)/(-1((2((-2(1x^2 - 2x - 2) - 3)/(-1(1x^2 - 2x - 2) - 3)) + 3)/(-3((-2(1x^2 - 2x - 2) - 3)/(-1(1x^2 - 2x - 2) - 3)) + 4)) + 3)) + 3)/(-2((2((2((-2(1x^2 - 2x - 2) - 3)/(-1(1x^2 - 2x - 2) - 3)) + 3)/(-3((-2(1x^2 - 2x - 2) - 3)/(-1(1x^2 - 2x - 2) - 3)) + 4)) + 2)/(-1((2((-2(1x^2 - 2x - 2) - 3)/(-1(1x^2 - 2x - 2) - 3)) + 3)/(-3((-2(1x^2 - 2x - 2) - 3)/(-1(1x^2 - 2x - 2) - 3)) + 4)) + 3)) - 3)) - 1)/(2((-2((2((2((-2(1x^2 - 2x - 2) - 3)/(-1(1x^2 - 2x - 2) - 3)) + 3)/(-3((-2(1x^2 - 2x - 2) - 3)/(-1(1x^2 - 2x - 2) - 3)) + 4)) + 2)/(-1((2((-2(1x^2 - 2x - 2) - 3)/(-1(1x^2 - 2x - 2) - 3)) + 3)/(-3((-2(1x^2 - 2x - 2) - 3)/(-1(1x^2 - 2x - 2) - 3)) + 4)) + 3)) + 3)/(-2((2((2((-2(1x^2 - 2x - 2) - 3)/(-1(1x^2 - 2x - 2) - 3)) + 3)/(-3((-2(1x^2 - 2x - 2) - 3)/(-1(1x^2 - 2x - 2) - 3)) + 4)) + 2)/(-1((2((-2(1x^2 - 2x - 2) - 3)/(-1(1x^2 - 2x - 2) - 3)) + 3)/(-3((-2(1x^2 - 2x - 2) - 3)/(-1(1x^2 - 2x - 2) - 3)) + 4)) + 3)) - 3)) + 1) and g(x) = -2sin(3π(3|(2(-1(2|x + 2| - 3)^2 - 3(2|x + 2| - 3)) + 5) + 2| - 3) - 1) - 2 in the range -10 ≤ x ≤ 10?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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How many solutions does the equation (-3((-3(3((-1((2((-3x - 1)/(-1x + 3)) - 3)/(-2((-3x - 1)/(-1x + 3)) - 2)) + 3)/(-3((2((-3x - 1)/(-1x + 3)) - 3)/(-2((-3x - 1)/(-1x + 3)) - 2)) - 1))^2 - 5) - 1)/(-2(3((-1((2((-3x - 1)/(-1x + 3)) - 3)/(-2((-3x - 1)/(-1x + 3)) - 2)) + 3)/(-3((2((-3x - 1)/(-1x + 3)) - 3)/(-2((-3x - 1)/(-1x + 3)) - 2)) - 1))^2 - 5) + 3)) - 3)/(-1((-3(3((-1((2((-3x - 1)/(-1x + 3)) - 3)/(-2((-3x - 1)/(-1x + 3)) - 2)) + 3)/(-3((2((-3x - 1)/(-1x + 3)) - 3)/(-2((-3x - 1)/(-1x + 3)) - 2)) - 1))^2 - 5) - 1)/(-2(3((-1((2((-3x - 1)/(-1x + 3)) - 3)/(-2((-3x - 1)/(-1x + 3)) - 2)) + 3)/(-3((2((-3x - 1)/(-1x + 3)) - 3)/(-2((-3x - 1)/(-1x + 3)) - 2)) - 1))^2 - 5) + 3)) + 2) = 1(-3cos(1π(-2|((1((-3x - 1)/(1x)) - 3)/(-1((-3x - 1)/(1x)) - 2)) + 1| - 1) - 2) + 1)^2 + 2(-3cos(1π(-2|((1((-3x - 1)/(1x)) - 3)/(-1((-3x - 1)/(1x)) - 2)) + 1| - 1) - 2) + 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) = -1(-3(-1|(-3((3(-3x + 1))/(-1(-3x + 1) - 1)) + 2) - 1| + 2)^2 - 2(-1|(-3((3(-3x + 1))/(-1(-3x + 1) - 1)) + 2) - 1| + 2) + 3)^2 - 5(-3(-1|(-3((3(-3x + 1))/(-1(-3x + 1) - 1)) + 2) - 1| + 2)^2 - 2(-1|(-3((3(-3x + 1))/(-1(-3x + 1) - 1)) + 2) - 1| + 2) + 3) - 3 and g(x) = -2|(1e^(1(-2(-3|(-1x - 5)| + 1)^2 - 2(-3|(-1x - 5)| + 1) - 3)) - 2) + 1| in the range -10 ≤ x ≤ 10?

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

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

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

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

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

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[User]
How many solutions does the equation -5(3|(4(-3sin(1π(3|(-5x^2 + 2x - 3) - 3| + 3) - 1) + 1) + 1)| + 1) + 3 = -2|(2(3cos(2π(-2(-3|x + 1|) + 4) + 3) + 3) + 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(3cos(3π((-2(-1(-2|(-1x^2 + 3x - 1) + 3| - 2) - 4) + 2)/(-2(-1(-2|(-1x^2 + 3x - 1) + 3| - 2) - 4))) - 3) - 2)^2 + 1(3cos(3π((-2(-1(-2|(-1x^2 + 3x - 1) + 3| - 2) - 4) + 2)/(-2(-1(-2|(-1x^2 + 3x - 1) + 3| - 2) - 4))) - 3) - 2) - 5 and g(x) = -2|(3cos(1π((1((-2((3x)/(-3x - 2)) + 3)/(2((3x)/(-3x - 2)) - 3)) + 2)/(-1((-2((3x)/(-3x - 2)) + 3)/(2((3x)/(-3x - 2)) - 3)) + 3)) - 2) - 1) + 2| + 1 in the range -10 ≤ x ≤ 10?

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

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

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

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

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

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

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

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

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

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

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