General synonyms:
* Elicit
* Extract
* Draw out
* Bring out
* Uncover
* Develop
* Reveal
* Disclose
* Unmask
* Invoke
More specific synonyms:
* Deduce: This is used when you are reasoning from general principles to specific conclusions.
* Induce: This is used when you are causing something to happen, often through a process of reasoning or persuasion.
* Evoke: This is used when you are bringing something to mind or into existence.
Example:
* Original sentence: The teacher used a series of questions to educe the answer from the student.
* Synonym used: The teacher used a series of questions to elicit the answer from the student.
The best synonym to use will depend on the specific context of the sentence.