  The extraction of the strange quark parton distribution function (PDF) poses
a long-standing puzzle. Measurements from neutrino-nucleus deep inelastic
scattering (DIS) experiments suggest the strange quark is suppressed compared
to the light sea quarks, while recent studies of W/Z boson production at the
LHC imply a larger strange component at small x values. As the parton flavor
determination in the proton depends on nuclear corrections, e.g. from
heavy-target DIS, LHC heavy ion measurements can provide a distinct perspective
to help clarify this situation. In this investigation we extend the nCTEQ15
nPDFs to study the impact of the LHC proton-lead W/Z production data on both
the flavor differentiation and nuclear corrections. This complementary data set
provides new insights on both the LHC W/Z proton analyses and the
neutrino-nucleus DIS data. We identify these new nPDFs as nCTEQ15WZ. Our
calculations are performed using a new implementation of the nCTEQ code
(nCTEQ++) based on C++ which enables us to easily interface to external
programs such as HOPPET, APPLgrid and MCFM. Our results indicate that, as
suggested by the proton data, the small x nuclear strange sea appears larger
than previously expected, even when the normalization of the W/Z data is
accommodated in the fit. Extending the nCTEQ15 analysis to include LHC W/Z data
represents an important step as we advance toward the next generation of nPDFs.
