solve Look up solve at Dictionary.com
c.1440, "to disperse, dissipate, loosen," from L. solvere "to loosen, dissolve, untie," from PIE *se-lu-, from reflexive pronoun *swe- + base *leu- "to loosen, divide, cut apart" (cf. Gk. lyein "to loosen, release, untie," O.E. -leosan "to lose," leas "loose;" see lose). The meaning "explain, answer" is attested from c.1533; for sense evolution, see solution. Mathematical use is attested from 1737.