Re: [math-fun] "Ponder This"

Has this already been done?

Four years ago, I played around with base-16 numbers where the digits 10, 11, 12, 13, 14, 15 were represented by the symbols +, -, *, /, ^, ==. I wondered, for a given-length number, how many of them Mathematica would return as True when the number's string-equivalent was evaluated as an expression. Needless to say, exponentiation proved an insurmountable issue. I also dealt with the matter of whether + and - were to be operations only or could also represent positive and negative. While leading zeros bothered me, more than one equality-sign, not so much. Anyways, to make a long story short, my interest waned as the complexity of the issues dawned on me.