For some integer P, x^3-511x+P = 0 has 3 integer roots. Find them. AIME 1 2011 Problem 15 similar

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For some integer P, x^3-511x+P = 0 has 3 integer roots. Find them. AIME 1 2011 Problem 15 similar

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For some integer P, x^3-511x+P = 0 has 3 integer roots. Find them. AIME 1 2011 Problem 15 similar