An embodiment of a machine for brewing a beverage such as coffee includes a chamber and a piston assembly disposed in the chamber. The chamber is operable to receive a liquid such as water and a flavor base such as ground coffee, and to allow the beverage to brew from a mixture of the liquid and the base. The piston assembly is operable to filter a solid such as spent coffee grounds from the brewed beverage by moving in a first direction, and to force the filtered beverage out of the chamber by moving in a second direction. By modifying or automating some or all steps of the French press brewing technique, such a machine may control one or more of the brewing parameters with a level of precision that yields brewed coffee having a uniform taste from cup to cup. Furthermore, such a machine may brew the coffee with a speed that renders the machine suitable for use by establishments that serve significant amounts of coffee.