Computer answers in poetry

I'm looking for a short story my dad believes he read in Analog sometime in the early/mid 70's.

The story involved a computer that when posed questions about military/space travel etc., answers with poetry. He said there's an older woman who was somehow responsible for this.

I would really appreciate any answers to what this story might be, or who the author was! My dad thought it was written by Isaac Asimov, but we looked for it under his works and couldn't find it.

Can anyone identify this story?