This book gathers problems based on over twenty years of the Indiana College Mathematics Competition, a regional problem-solving contest for teams of undergraduates. Its problems and solutions are accessible to students in a standard college curriculum, not necessarily with Olympiad-level training. Problem sets form the core of Part I, covering myriad aspects of algebra, calculus, number theory, probability, and geometry. Chapters are organized by year, and an index allows easy navigation through specific topics. In Part II, the reader finds detailed solutions to the exercises. With revised solutions designed for a didactical approach, this book can be especially useful as a resource for problem-solving courses in college mathematics or as practice problems for graduate entrance exams. This volume is a sequel to Rick Gillman's "A Friendly Competition," which documented the first 35 years of the competition.