In an AP:

Given $a=7, a_{13}=35$, find $d$ and $S_{13}$.

In an AP:

given: $a_{12}=37, d=3$, find $a$ and $S_{12}$.

In an AP:

Given: $a_3=15, S_{10}=125$, find $d$ and $a_{10}$.

In an AP:

Given: $a=2, d=8, S_n=90$, find $n$ and $a_n$.

In an AP:

Given: $a_n=4, d=2, {\mathrm{S}}_n=-14$, find $n$ and $a$.

In an AP, $l=28, S=144$, and there are total $9$ terms, find the value of $a$.