Our acre of lawn is mostly bumpy, with slopes of 20 deg. (one in five) on two sides of the house and even steeper on a third. I have never seen a riding mower that would be safe enough from tipping (track too narrow and wheels too small.) Just once, 30 years ago, I saw a mini tractor with wheels at least 50 inches apart, that might do (except that we would prefer cutters underneath, rather than a separate tool pulled behind.
Is there on the N.American market any riding mower or mini-tractor that can turn safely on slopes of one in five?