This publication provides detailed solutions for the problems in the exercise sets in the textbook "Semantics and the Syntax of Algebra" by the author. The coverage includes both even-numbered and odd-numbered problems in the exercise sets.As our aim is to promote formulations and algorithms that promote fluency, for the most part, we have provided detailed solutions as opposed to partial solutions or just answers. Alternative approaches that meet the criteria for fostering fluency in solving mathematical problems are included in the solutions.When an exercise extends a concept that is introduced in the body of the textbook or introduces a new one, further detail about the topic is included in the form of side notes. This should help the reader connect the ideas that are presented in the body of the text to their extensions in the exercises.