Going with what you said in that you have layers upon layers of paint over wallpaper, the use of a scoring tool called a Paper Tiger is out of the question. However, you may find that simply using a Spackle Knife may be enough to get a lot of the painted paper off.
Get yourself a 3" Spackling Knife and start 'lifting off' the stuff wherever you can get under an edge. You could try a 'pointing' a steamer under the stuff as you lift to see if it softens up the stuff as you go. Just take your time and see what happens. You could also visit a Wallpapering Store (not a big box store) as well as a Paint Retailer to see what ideas they have. You MAY want to try the Paper Tiger and DIF by Zinsser route. (Just be SURE to follow the directions to the 'T' when it comes to the DIF.)