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Eliminate x, y, z. x+y+z=0 x^2+y^2...

Eliminate `x`, `y`, `z`.
`x+y+z=0`
`x^2+y^2+z^2=a^2`
`x^3+y^3+z^3=b^3`
`x^5+y^5+z^5=c^5`

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