This article begins by presenting basic common features, and by listing and giving references for current commercial computer algebra packages. There follow two simple introductory examples of the use of computer algebra in statistical contexts, and then a discussion of some typical constraints and features of computer algebra systems: it is important to be aware of these, since in this area, unrealistic expectations lead all too rapidly to frustration and disappointment. Finally, we list a few representative examples of research uses of computer algebra in statistical science, and conclude with suggestions for further reading.