solve

verb

1. To find an answer or solution to a problem or question; to work out.

   “True piety would effectually solve such scruples.”

   “God shall solve the dark decrees of fate.”

   “A “moving platform” scheme[…]is more technologically ambitious than maglev trains even though it relies on conventional rails. Local trains would use side-by-side rails to roll alongside intercity trains and allow passengers to switch trains by stepping through docking bays. This set-up solves several problems […].”

2. to find out the perpetrator, the motive etc (of crime)

   “to solve a murder   to solve a crime”

3. To find the values of variables that satisfy a system of equations and/or inequalities.
4. To algebraically manipulate an equation or inequality into a form that isolates a chosen variable on one side, so that the other side consists of an expression that may be used to generate solutions.
5. (transitive)To loosen or separate the parts of.
6. (archaic, transitive)To loosen or separate the parts of.

noun

1. (archaic)A solution; an explanation.

   “The solve is this, that thou dost common grow.”

   “KEVIN: I decided a long time ago that just because I love Raymond, doesn't mean I have to love the people he works with. Good solve, Detective.”

   ““Hey, Mr. Quilt Bandit.” Ian smiled. “Nice solve, Nancy Drew.””