"his resoluteness carried him through the battle"; "it was his unshakeable resolution to finish the work"
"can this image be resolved?"
"The question concerning the meaning of life cannot be answered"
"The case was decided"; "The judge decided the case in favor of the plaintiff"; "The father adjudicated when the sons were quarreling over their inheritance"
"The recipe says that we should dissolve a cup of sugar in two cups of water"
"he resolved never to drink again"
"solve an equation"; "solve for x"
"Square the circle"; "square the wood with a file"