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RU-ALLRUSSIAN 1983 Problem 4

    Find all real solutions x, y to y2=x3−3x2+2x,x2=y3−3y2+2y.\mathrm{y}^{2} = \mathrm{x}^{3} - 3\mathrm{x}^{2} + 2\mathrm{x}, \mathrm{x}^{2} = \mathrm{y}^{3} - 3\mathrm{y}^{2} + 2\mathrm{y}.

    Dataset text NuminaMath olympiads. Quoted with source.

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