Abstract: The invention features methods and apparatuses for cutting a section of a pipe having a non-linear longitudinal axis. A mounting structure attaches to a first portion of the pipe. A track is connected to the mounting structure and defines a drive plane. A moveable structure is coupled to the track and configured to move circumferentially along the track. A tool holder is connected to the moveable structure and positions a cutting tool relative to a cutting plane in a second portion of the section of pipe, the cutting plane substantially perpendicular to the non-linear longitudinal axis at a cutting location on the pipe. The mounting structure adjusts to position the track such that the drive plane is parallel to the cutting plane, separated from the cutting plane, substantially non-perpendicular to the non-linear longitudinal axis at the first portion on the pipe.