Hard Problems is about the extraordinary gifted students who represented the United States in 2006 at the world's toughest math competition: The International Mathematical Olympiad (IMO). It is the story of six American high school students who competed with 500 others from 90 countries in Ljublijana, Slovenia. The film shows the dedication and perseverance of these remarkably talented students, the rigorous preparation they undertake, and the joy they get out of solving challenging math problems. It captures the spirit that infuses the mathematical quest at the highest level.