Note that for Champagne it doesn't necessarily solve it. If you watch my solution then you might notice it takes forever when ?=0, but in fact this is the only case it definitely solves. The other cases it solves with overwhelming probability, but there's a chance it will output a zero first.
Lots of great puzzles still left for me to solve though!
Amazingly strange solution to Champagine, but I liked it! I give up for The Key to the Tombs! And, new puzzle:
If you take four, and then add four, and then take away, add, subtract, add, add, multiply by, subtract, raise to the power of, divide by, and add four, and then find the reciprocol, what do you get? Of course, it's obviously 0.058823529411764705882352941176471! Duhhh!