I am not aware of the origins of either Mathrax or Mathrax Sudoku, but the Sudoku variant form has been given a life of its own by Dutch author Arvid Baars, who includes one in almost every competition for which he writes puzzles. This puzzle of mine was written during a time when I was struggling for ideas and decided to write a few puzzles utilising some "signature" variants of other authors. I think it shows off the thematic Mathrax logic very well.
Rules
Place a number from 1 to 9 into each empty cell so that every row, column and bold-outlined region contains every number exactly once.
There are some circles marked with a number and an operation. Around such a circle, both pairs of diagonally opposite cells must contain numbers that result in the number shown when the operation is applied. An "E" or "O" on a circle indicates that all four of the surrounding digits are even or odd, respectively.
Difficulty: 5/10
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