  We give a classification of all third-order nonlinear evolution equations
which admit solvable Lie symmetry algebras $\mathsf{A}$ and which are not
linearized. We have found that there are 48 types of equations for
$\dim\mathsf{A}=3$, 88 types for $\dim\mathsf{A}=4$ and there are 55 equations
for $\dim\mathsf{A}=5$.
