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IL-GILLIS 2014 Problem 5

    Let pp be a polynomial with integer coefficients satisfying p(16)=36,p(14)=16,p(5)=25p(16)=36,p(14)=16,p(5)=25 . Determine all possible values of p(10)p(10) .

    Dataset text AI-MO AoPS. Quoted with source.

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