In Xion, you can interact with the Bulletin Board that’s next to Roxanne by her R’s Shop. You can get both Requests here.
Simple Puzzle
This request gives you three examples on how to solve it and then asks you to solve the last one.
4@7@8 = 285684
9@3@5 = 271542
6@2@7 = 121426
5@6@7 = ??
If we look at the first one:
4×7=28
7×8=56
28+56=84
That formula works for all 3 examples, so then just apply it to the last one:
5×6=30
6×7=42
30+42=72
So the code is 304272
Head into the Underground Lift and down into the room where the monorail is. Check the right column for the input terminal.
After you enter the solution, head back to the bulletin board to complete it and get your reward of 1000g and 2 vitcoin.
Wisdom Puzzle
This request will show up on the Bulletin Board once you complete the Simple Puzzle.
37#21 = 928
77##44 = 3993
123#17 = 14840
71#6 = ??
For this one:
37-21=16
37+21=58
16*58=928
So apply that to the one the poster wants you to solve:
71-6=65
71+6=77
65*77=5005
Head back to the same terminal in the Underground Lift area and enter the new solution.
Head back to the bulletin board for you new rewards – 1000g and the Queen of Arithmetic Badge.
The Badge will show up in your Bag in the Miscellaneous area.