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TH-TMO 2004 Problem 3

    Let u,v,wu, v, w be the roots of x3−5x2+4x−3=0x^3 -5x^2 + 4x-3 = 0 . Find a cubic polynomial having u3,v3,w3u^3, v^3, w^3 as roots.

    Dataset text AI-MO AoPS. Quoted with source.

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