Problem

1996 AIME Problem 5

Suppose that the roots of x^3+3x^2+4x-11=0 are a, b, and c, and that the roots of x^3+rx^2+sx+t=0 are a+b, b+c, and c+a. Find t.

Leading zeroes must be inputted, so if your answer is 34, then input 034


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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