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CR-MO 2015 F2

    Find all functions f:R→Rf: R \to R such that f(f(x)f(y))=xyf (f (x) f (y)) = xy and there is no k∈R−{0,1,−1}k \in R -\{0,1,-1\} such that f(k)=kf (k) = k .

    Dataset text AI-MO AoPS. Quoted with source.

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