olymmath

AIME 1996 Problem 5

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Suppose that the roots of x3+3x2+4x−11=0x^3+3x^2+4x-11=0 are aa, bb, and cc, and that the roots of x3+rx2+sx+t=0x^3+rx^2+sx+t=0 are a+ba+b, b+cb+c, and c+ac+a. Find tt.

Dataset text AIME 1983 to 2026. Quoted with source.

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