Find the value of:

$\left|-\left(13-5\right)\right|$

Find the value of:

$-\left|-4\right|$

Subtract the sum of $-400$ and $-350$ from $510$.

Add $79$ to the difference of $-37$ and $-73$.

The sum of two integers is $105$. If one of the integers is $-57$, find the other.