If Σ_r =1^25(r/(r^4+ r^2+1))=p/q, where p and q are positive integers such that gcd ( p, q )=1, then p + q is equal to ____.

If $\displaystyle \sum_{\mathrm{r}=1}^{25}\left(\frac{\mathrm{r}}{\mathrm{r}^4+\mathrm{r}^2+1}\right)=\frac{\mathrm{p}}{\mathrm{q}}$, where p and q are positive integers such that $\displaystyle \operatorname{gcd}(\mathrm{p}, \mathrm{q})=1$, then $\displaystyle \mathrm{p}+\mathrm{q}$ is equal to $\displaystyle \_\_\_\_$.