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Monic quadratic polynomials P(x) and Q(x) have the property that P(Q(x)) has zeros at x=-23, -21, -17, and -15, and Q(P(x)) has zeros at -59, -57, -51, and -49. What is the sum of the minimum values of P(x) and Q(x)?

 Jun 2, 2021
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The sum of the minimum values is -64.

 Jun 3, 2021

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