elicit

(verb) call forth (emotions, feelings, and responses). Synonyms: arouse, enkindle, kindle, evoke, fire, raise, provoke. Examples: "Arouse pity." "Raise a smile." "Evoke sympathy."

(verb) deduce (a principle) or construe (a meaning). Synonyms: educe, evoke, extract, draw out. Example: "We drew out some interesting linguistic data from the native informant."

(verb) derive by reason. Example: "Elicit a solution."