Definition of problem-solve in US English:

problem-solve

verb

  • no object To find a solution to a difficult or complex question or situation; to engage in the actions or thoughts necessary to discover solutions to problems. Also with object: to think out, grapple with, or solve (a problem).

Origin

1950s; earliest use found in The New York Times. From problem + solve, after problem-solving [adjective], problem-solver.

Pronunciation

problem-solve

/ˈprɒbləmˌsɒlv/