A gaming device including a primary game having one or more symbol generators and one or more secondary games associated with the symbol generators. The gaming device activates the symbol generators for a number of activations. When the symbol generator generates one or more predetermined symbols, the gaming device operates one or more of the secondary games associated with the symbol generators. In one embodiment, the gaming device continues to activate the symbol generators until at least one of the symbol generators generates one or more termination symbols, or until there are no activations remaining in the primary game.