Movably supported exercise device

An item of exercise equipment with a movable support that is movable in a fore-aft direction and simultaneously movable laterally, e.g. about a tilt axis. The exercise equipment may be a cycle mounted to a base. A roller and track arrangement may be provided between the cycle and base, to provide movement of the cycle in the axial direction and in a tilt direction relative to the base. The roller and track arrangement may be one or more curved roller and track engagement surfaces that extend in the axial direction and provide a gravity bias of the platform toward an axial neutral position. The cycle and base include a tilt biasing arrangement for biasing the cycle toward a tilt neutral position relative to the base.