# $x, y, z$ Polynomials

Algebra Level 3

$\large \begin{cases} x + y + z = 0 \\ x^3 + y^3 + z^3=18 \\ x^7 + y^7 + z^7=2058 \end{cases}$

Given that $x$, $y$ and $z$ satisfy the system of equations above, find the value of $xyz.$

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