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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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