I borrowed a S-175 today. It worked well.
If the tree is your neighbor's, I would talk to them about it. You can tear up the roots if you want but the neighbors may not like that. The tree might die and fall on your house.
If you want to get rid of a big tree right near houses and stuff, the best way to go is to have a real honest-to-God arborist come out and top it all the way down, then grind up the stump. You can get a brush or root grapple attachment to move all the tree parts to the curb or load them on a truck after it has been cut down.