Scalar fields with inverse power-law effective potentials may provide a neg
ative pressure component to the energy density of the universe today, as re
quired by cosmological observations. Ln order to be cosmologically relevant
today, the scalar field should have a mass m(phi) = O(10(-33) eV), thus po
tentially inducing sizable violations of the equivalence principle and spac
e-time variations of the coupling constants. Scalar-tensor theories of grav
ity provide a framework for accommodating phenomenologically acceptable ult
ralight scalar fields. We discuss nonminimally coupled scalar-tensor theori
es in which the scaler-matter coupling is a dynamical quantity. Two attract
or mechanisms are operative at the same time: one towards the tracker solut
ion, which accounts for the accelerated expansion of the Universe, and one
towards general relativity, which makes the ultralight scalar field phenome
nologically safe today. As in usual tracker-field models, the late-time beh
avior is largely independent of the initial conditions. Strong distortions
in the cosmic microwave background anisotropy spectra as well as in the mat
ter power spectrum are expected.