The heavy-duty six foot Teletube Closet Auger (Cat # T6FL) lets you clear stoppages just beyond the bowl. No need to lift the bowl, because the Teletube has an extra three feet telescoped inside a guide tube until you need it. After you've worked the first three feet into the bowl, you can go three feet farther simply by pressing a button and pulling the crank handle.
General Pipe Cleaners Teletube® Closet Auger, Regular Head Heavy Duty, 6 ft Cable Length, Vinyl Grip, Steel Drum, Orange Handle