CoCoALib and CoCoA-5

The CoCoA project dates back to 1987, with the first public release of its interactive system in 1989. The aim has always been to provide a user-friendly software laboratory for studying Computational Commutative Algebra, specifically ideals of multivariate polynomials (e.g.Groebner bases). Starting in the early 2000s the CoCoA software has undergone a profound change in its internal design: its ``mathematical expertise'' resides in CoCoALib, a C++ software library; there is also an interactive system CoCoA-5 which uses an interpreter to grant easy access to CoCoALib's capabilities. All code is free and open source (licence: GPL-3). We give an overview of the latest developments in the library and system: specifically for the recent release of CoCoA-5.2.0/CoCoALib-0.99550 (May 2017), and the upcoming release.