  We consider parabolic equations with operators
$\mathcal{L}=\partial_{t}+a^{ij}D_{ij}+b^{i}D_{i}-c$ with $a$ being almost in
VMO, $b$ in a Morrey class containing $ L_{d+2}$ and $c $ in a Morrey class
containing $L_{(d+2)/2}$. We prove the solvability in Sobolev spaces of
$\mathcal{L} u=f\in L_{p}$ in bounded $C^{1,1}$-cylinders.
