help please! :)

Let \(\omega\) be a complex number such that \(\omega^5\) and \(w \neq 1\). Compute \(\frac{\omega}{1 + \omega^2} + \frac{\omega^2}{1 + \omega^4} + \frac{\omega^3}{1 + \omega} + \frac{\omega^4}{1 + \omega^3}.\)

 

Thanks!