This is a collection of nearly 125 problems in real and complex analysis, as well as hints and complete solutions. It is the outcome of a short problem-solving seminar that I ran during May-June 1999 at Stony Brook. The goal of this seminar was to prepare first-year graduate students for their written comprehensive exam. The problems are gathered from all sorts of references and have been modified, when necessary, to be made compatible with the scope of the comprehensive exam at Stony Brook.