Question 11If $\cot\alpha+\cot\beta+\cot\gamma=-4/5$, $\tan\alpha+\tan\beta+\tan\gamma=17/6$, and $\cot\alpha\cot\beta+\cot\beta\cot\gamma+\cot\gamma\cot\alpha=-17/5$, find $\tan(\alpha+\beta+\gamma)$.