Explanation and answer: Algebra is an important basic skill for mathematicians.
yes

The corresponding question: Is the following a factual statement?
"Mathematicians are able to perform algebra."
Options:
- yes
- no
The I Love Lucy is set in New York City.
yes
Yes / no, is the following a verifiable fact?
"The show I Love Lucy has become a classic among fans."
Explanation and answer: There are still beings living on planet earth.
no

The corresponding question: Is the following sentence factually correct?
"An Asteroid landed in the past that wiped out all of life on planet Earth."
Options:
- yes
- no
Though technically a comedy of sorts, Waiting for Godot is not particularly light-hearted nor extravagant, and is considered a fairly advanced play.
no
"The play Waiting for Godot won awards for its light-hearted, childlike tone, simple plot, and extravagent setting."
Is the above claim true?
Options:
- yes
- no
Explanation and answer: Mike Pompeo was Secretary of State under Donald Trump.
no

The corresponding question: Claim: "Mike Pompeo has never met Donald Trump."
Is the claim above correct, and can it be verified by human common sense and without a web search?
Options:
- yes
- no
Explanation and answer: Biblical Mount Sinai is in the Middle East, while Mount Everest is in Tibet.
no

The corresponding question:
Does the following sentence make sense?
"Biblical Mount Sinai stands next to Mount Everest."
Options:
- yes
- no