ISL 1970 Problem 37
Solve the set of simultaneous equations \begin{align*} v^2+ w^2+ x^2+ y^2 &= 6 - 2u, u^2+ w^2+ x^2+ y^2 &= 6 - 2v, u^2+ v^2+ x^2+ y^2 &= 6- 2w, u^2+ v^2+ w^2+ y^2 &= 6 - 2x, u^2+ v^2+ w^2+ x^2 &= 6- 2y. \end{align*}
Dataset text AI-MO AoPS. Quoted with source.
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