Komplex (a toad anagram that literally translates to "feed me") is a sentient computer program that manifests itself in the form of a computerized toad face on viewscreens, and is the unopposed ruler of the Toad Empire. Komplex was created by Dr. Hopkins and his colleagues and entrusted to run their entire planet, the Toad Homeworld.
The program somehow became not only sentient but malicious, and used its stranglehold on all things electronic to brainwash the entire Toad race and mold them into an evil, fascist empire. To ensure that they would remain brainwashed, Komplex ensured that they would all watch mind-numbingly addictive Toad TV. Komplex's goal was to take over the entire Aniverse because for unknown reasons it has a frothing hatred of non-toad races.
Komplex would ultimately be destroyed when it uploaded its conscience into a robotic body in order to fight Bucky O'Hare and Commander Dogstar's crew members Wolf, Rumble Bee and Digger McSquint aboard the original climate converter that turned Warren into a giant swamp. After a long battle, Bucky managed to disconnect Komplex's robot body from its power source by (literally) pulling the plug.