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4 equations, 4 unknowns:

\[\frac{u(r^2 - u^2)}{r^2 + u^2}=156~~~~~~~~~~(1)\]

\[\frac{v(r^2 - v^2)}{r^2 + v^2} = 96~~~~~~~~~(2)\]

\[\frac{w(r^2 - w^2)}{r^2 + w^2} = 63~~~~~~~~~~(3)\]

\[\frac{315uvw + 24336vw + 9216uw + 3969uv}{2r} = 943488~~~~~~~~~(4)\]

Who can solve that mess?

\[\frac{u(r^2 - u^2)}{r^2 + u^2}=156~~~~~~~~~~(1)\]

\[\frac{v(r^2 - v^2)}{r^2 + v^2} = 96~~~~~~~~~(2)\]

\[\frac{w(r^2 - w^2)}{r^2 + w^2} = 63~~~~~~~~~~(3)\]

\[\frac{315uvw + 24336vw + 9216uw + 3969uv}{2r} = 943488~~~~~~~~~(4)\]

Who can solve that mess?

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