A tool for pulling a first and second tire bead off of a wheel assembly. The tool is inserted between the bead to be removed and the rim edge, and engages the bead to be removed with a grappling structure and pulls the bead over the rim edge by a linear drive assembly disposed inside a tubular structure affixed to the grappling structure. Simultaneously an angled stay is positioned on the rim which is pressed in an opposite direction of the pulling motion. A second embodiment pulls the rim from a second bead of a tire. A hook is inserted between the rim edge and the second tire bead and hooks onto the lower rim edge. A linear drive assembly provides a pulling motion to pull the rim over the second bead, while a push plate simultaneously pushes the tire side wall in an opposite direction from the pulling motion.