Dissolve the yeast in warm water and 1 tablespoon of the sugar. Let it rest for 5 minutes.
Add the remaining sugar,mashed potatoes, butter, salt, and eggs. Mix well. Stir in 3 cups of flour. You can either knead for 3-4 minutes or you can use a stand mixer with the hook attachment (placed on #2) to do all the work. Add enough of the remaining flour to the dough to prevent sticking, (that's anywhere between 1/2 to a full cup). Shape dough into a ball and place in a greased bowl. Make sure all the dough is covered with oil as well. I like to cover my bowl first with plactic wrap and put a towl on top. Let the dough rise for an hour or until doubled (could be a little longer than an hour).
When dough has doubled, punch it down and let it rest for 5 minutes. Divide into balls, you can get anywhere from 15-20 depending on the size you roll it. Place rolls in a greased 9x13 pan,cover with plastic thats been sprayed with oil. The oil side should be touching the rolls, let rise again for an additional 40-45 minutes. Bake at 350 degrees anywhere between 15 - 20 minutes (depending on your oven).
You can brush the rolls with butter if you like. They are best served warm but, are perfectly good at room temp. Enjoy.