\[\begin{array}{l}
{\text{Find }}x \cdot y \cdot z{\text{, if }}x + y + z = 1,{\text{ }}{x^3} + {y^3} + {z^3} = 2,{\text{ }}{x^5} + {y^5} + {z^5} = 3. \hfill \\
(x,{\text{ }}y,{\text{ }}z{\text{ are complex numbers}}) \hfill \\
\end{array} \]
Answer imediately follows from Girard-Newton identities.
\[\frac{2}{{15}}\]