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1. (2 points) How many zeros are there at the end of 792! when written in base 10?

2. (3 points) Find all integral solutions to <math>x^y-y^x=1</math>.

3. Find the largest integer <math>n</math>, where <math>2009^n</math> divides <math>2008^(2009^(2010))+2010^(2009^(2008))</math>.

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