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Algebra Level 4

\[{ x }^{ 3 } + 16x + 175= 0\]

The equation above has roots \(\alpha \), \(\beta\) and \(\gamma\). Find the value of the expression below.

\[\frac { \alpha }{ \gamma } +\frac { \alpha }{ \beta } +\frac { \gamma }{ \beta } +\frac { \gamma }{ \alpha } +\frac { \beta }{ \alpha } +\frac { \beta }{ \gamma } \]

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