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ZA-SAMO 1997 Problem 4

    Find all functions f:Z→Zf: \mathbb{Z} \rightarrow \mathbb{Z} which satisfy f(m+f(n))=f(m)+nf(m + f(n)) = f(m) + n for all m,n∈Zm,n \in \mathbb{Z} .

    Dataset text AI-MO AoPS. Quoted with source.

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