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SE-SKOLORNAS 2000 Problem 6

    Solve {y(x+y)2=9y(x3−y3)=7\left\{ \begin{array}{l} y(x+y)^2 = 9 y(x^3-y^3) = 7 \end{array} \right.

    Dataset text AI-MO AoPS. Quoted with source.

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