  Monograph "B. Grechuk, Polynomial Diophantine equations. A systematic
approach" suggests solving Diophantine equations systematically in certain
order. Many hundreds of the equations are left to the reader. Here, we provide
complete solutions to all these equations. The difficulties of solved equations
range from elementary to research level. In the last section, we present a
summary table of all solved equations ordered by their size, which makes them
easy to find. As a result, this document may be used as a database of solved
Diophantine equations of small size, to which more difficult equations can be
reduced.
