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ÖMO 2019 Problem 1

    Determine all functions f:R→Rf: R\to R , such that f(2x+f(y))=x+y+f(x)f (2x + f (y)) = x + y + f (x) for all x,y∈Rx, y \in R .

    (Gerhard Kirchner)

    Dataset text AI-MO AoPS. Quoted with source.

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