1. Absolute understanding of concepts 2. Learning and being comfortable with deep analysis of concepts that might at first sight seem difficult 3. Olympiad math problem training 4. Guaranteed progress in tests/competitions 5. Guaranteed higher performance The main idea of tutoring is not only providing accurate solutions with thorough understanding and explanations but also sharing methods of perceiving problem independently. Being unable to understand mathematics problems could be frustrating and the job of the tutor is to not only teach students easier ways of solving problems but also making students comfortable with the fact that it is okay to be unable to solve everything from the beginning. Eventually, students will improve and understand that with hard work, tasks that seemed boring and difficult will turn into tasks that are interesting and not that difficult anymore.