I actually had a list of questions, but I answered some of them myself through logical deduction. Others are below.
Will any two real numbers always return an answer that is a real number?
Does -4 */* -2 = 5? -5? Or is there even a logical answer?
I've also discovered that while a */* b = c, typically xa */* xb does not equal xc (if we disregard x=0, x=1, or [maybe] a=b=c).