Turn-ons: game theory, combinatorics, probability, progressive rock.
Turn-offs: that feeling when someone rubs paper on chalkboard.

https://math.stackexchange.com/questions/4270053/time-complexity-of-number-of-solutions-to-equation-of-varying-size-with-varying/4270328#4270328
Zeilberger quick how-to: https://math.stackexchange.com/a/4322239
How to ask a good question advice: https://math.meta.stackexchange.com/a/34067
Independence vs equally likely outcomes: (1) (2) (3) (4) (5) (6) (7)