  At large primes, the height $n$ Ravenel-May spectral sequence takes as input
the cohomology of a certain solvable Lie $\mathbb{F}_p$-algebra, and produces
as output the mod $p$ cohomology of the height $n$ strict Morava stabilizer
group scheme. We construct simultaneous integral deformations of the height $n$
Morava stabilizer algebras and related objects, and we use them to prove that,
for fixed $n$, the height $n$ Ravenel-May spectral sequence collapses for all
sufficiently large primes $p$. Consequently, for large $p$, the mod $p$
cohomology of the strict Morava stabilizer group scheme is the cohomology of a
finite-dimensional solvable Lie algebra, and is computable algorithmically.
