What is "solves"

Usage examples of "solves".

Using his known or assumed plaintext values, the cryptanalyst sets up equations in which the displacements of the several rotors constitute the unknowns, and then, using higher algebra, solves the equations for them.

It is the judge who tells them where to go and what to do, and it is he who sifts and coordinates the information they bring him, and then solves the crime by sheer mental power.

If the story had ended at this point, it would have seemed rather anticlimactic and dull: Boy has problem, boy works on problem, boy solves problem.