The tasks in this exercise book are divided into five groups. The authors start with some basic tasks on mappings and relations, then move on to groups, rings, and fields, and conclude with a chapter on representations of finite groups. Each task block begins with a brief introductory text to help the reader prepare for solving the tasks, along with a short summary of the necessary theory. In the second part of the book, the authors provide detailed solutions to all the exercises listed. Finally, six sample exams with complete solutions have been included. These are intended to serve as a guideline for assessing proficiency in the material learned.