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The Moscow Mathematical Olympiad has been challenging highschool students with stimulating, original problems of different degrees of difficulty for over 75 years. The problems are nonstandard; solving them takes wit, thinking outside the box, and, sometimes, hours of contemplation. Some are within the reach of most mathematically competent highschool students, while others are difficult even for a mathematics professor. Many mathematically inclined students have found that tackling these problems, or even just reading their solutions, is a great way to develop mathematical insight. In 2006 the Moscow Center for Continuous Mathematical Education began publishing a collection of problems from the Moscow Mathematical Olympiads, providing for each an answer (and sometimes a hint) as well as one or more detailed solutions. This volume represents the years 20002005. The problems and the accompanying material are well suited for math circles. They are also appropriate for problemsolving classes and practice for regional and national mathematics competitions. Titles in this series are copublished with the Mathematical Sciences Research Institute (MSRI).
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