  We present a novel approach in constructing deviations of the Kerr spacetime
whereas the symmetries can be preserved. The method was applied trivially in
all known classical black-hole spacetimes tested, while provides the
possibility of testing and inventing deformations of Kerr in a quick and
innovative way. The methodology is based on earlier work by Benenti and
Francaviglia (1979) on separability of geodesic equations while we exploited
the elegant properties of Yano tensor in order to provide an additional way of
getting the Carter constant.
