Dear Anna, Please consult https://sites.math.rutgers.edu/~zeilberg/Hist21/mt1S.pdf for the full solutions. You got 110 points (out of 120). Everything was right except: #7: -2 points (an EF is a sum of DISTINCT unit fractions) #12: -8 points (You started the right way, using the definition, but you were requested to use the other method. I gave you 2 token points for starting it correctly the other way) Best wishes, Dr. Z.