Verb meaning to solve problems through precision or accuracy?

Question

I am seeking an English verb meaning to solve or otherwise approach problems through some combination of precision, accuracy, flexibility, or even speed. There's plenty of relevant nouns, but I can't think of any corresponding verb forms. By way of example, you can solve problems via strength if you force your way through, via intellect if you reason or outwit, or via social skills if you charm, convince, or manipulate others.

"Manipulate" almost gets at what I want, but I'd prefer something that points primarily to physical action and cannot be interpreted as a social action.

Answer 1

Perhaps you are looking for the verb finesse (MW):

to bring about, direct, or manage by adroit maneuvering

finesse his way through tight places

Answer 2

to maneuver TFD

To act with skill or cunning in gaining an end:

As in:

He maneuvered complexity, getting closer and closer to the X.

When I think of to maneuver, stratagems, cunning and purpose of movement come to mind.