  In this paper we present a number of examples of exact solutions for the
Friedmann cosmological equation for metric $ F(R) $ gravity model. Emphasis was
placed on the possibility of obtaining exact time dependences of the main
cosmological physical quantities: scale factor, scalar curvature, Hubble rate
and function $ F(R) $. For this purpose an ansatz was used to reduce the
Friedmann equation to an ordinary differential equation for function $ F =
F(H^{2})$. This made it possible to obtain a number of exact solutions, both
already known and new.
