In a mixing bowl combine milk, butter, mashed potato flakes, egg, sugar, salt, 3 1/2 cups flour and yeast. Fitted with dough hook mix just until combined.
Switch to paddle attachment and knead for 6-8 minutes or until smooth and soft without being too sticky. Dough should clear sides of bowl while sticking slightly to the bottom. Add additional flour one tablespoon at a time if too wet. Add additional milk 1 tablespoon at a a time if too dry. This is a tougher dough. Remove from bowl. Using heel of your hand knead briefly until it forms a nice round ball.
Place dough in a greased bowl and let rise until doubled.
Separate dough into 16 equal pieces. Using the heel of your quickly and firmly roll each piece around in circles until it forms a tight little ball. Arrange rolls in 4 rows of 4 each in a greased 9 x 13 pan.