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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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