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PL-OM 1993 Problem 1

    Find all rational solutions to: \begin{eqnarray*} t^2 - w^2 + z^2 &=& 2xy t^2 - y^2 + w^2 &=& 2xz t^2 - w^2 + x^2 &=& 2yz . \end{eqnarray*}

    Dataset text AI-MO AoPS. Quoted with source.

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