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Calculus

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Number Theory

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Trigonometric Function

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If 4x − 28 = −24, what is the value of x − 7 ? A) −24 B) −22 C) −6 D) −1

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y = 4x y = x² − 12 A solution to the given system of equations is (x, y), where x > 0. What is the value of x ?

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Topology

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The function g is defined by g(x) = (x + 14)(t − x), where t is a constant. In the xy-plane, the graph of y = g(x) passes through the point (24, 0). What is the value of g(0) ?

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The function g is defined by g(x) = x(x − 2)(x + 6)². The value of g(7 − w) is 0, where w is a constant. What is the sum of all possible values of w ?