  The results of a previous search by the CMS Collaboration for squarks and
gluinos are reinterpreted to constrain models of leptoquark (LQ) production.
The search considers jets in association with a transverse momentum imbalance,
using the $M_\mathrm{T2}$ variable. The analysis uses proton-proton collision
data at $\sqrt{s}=$ 13 TeV, recorded with the CMS detector at the LHC in 2016
and corresponding to an integrated luminosity of 35.9 fb$^{-1}$. Leptoquark
pair production is considered with LQ decays to a neutrino and a top, bottom,
or light quark. This reinterpretation considers higher mass values than the
original CMS search to constrain both scalar and vector LQs. Limits on the
cross section for LQ pair production are derived at the 95% confidence level
depending on the LQ decay mode. A vector LQ decaying with a 50% branching
fraction to t$\nu$, and 50% to b$\tau$, has been proposed as part of an
explanation of anomalous flavor physics results. In such a model, using only
the decays to t$\nu$, LQ masses below 1530 GeV are excluded assuming the
Yang--Mills case with coupling $\kappa =$ 1, or 1115 GeV in the minimal
coupling case $\kappa =$ 0, placing the most stringent constraint to date from
pair production of vector LQs.
