  We establish the solvability of second order divergence type parabolic
systems in Sobolev spaces. The leading coefficients are assumed to be only
measurable in one spatial direction on each small parabolic cylinder with the
spatial direction allowed to depend on the cylinder. In the other orthogonal
directions and the time variable the coefficients have locally small mean
oscillations. We also obtain the corresponding $W^1_p$-solvability of second
order elliptic systems in divergence form. Our results are new even for scalar
equations and the proofs simplify the methods used previously in [12]
