To figure out; to discover or find a solution to.
To find an answer or solution to a problem or question; to work out.
to find out the perpetrator, the motive etc (of crime)
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.
To loosen or separate the parts of.
To find the values of variables that satisfy a system of equations and/or inequalities.