olymmath

SE-SKOLORNAS 2007 Problem 1

    Solve the following system {xyzu−x3=9x+yz=32u\left\{ \begin{array}{l} xyzu-x^3=9 x+yz=\dfrac{3}{2}u \end{array} \right. in positive integers xx , yy , zz and uu .

    Dataset text AI-MO AoPS. Quoted with source.

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