[genewitch]

All the digits in a row become a number. All nine such numbers have a greatest common denominator. The puzzle solution is the center row of the grid where the numbers have the greatest common denominator possible. I. E. None of them are prime.

It took 3 readings and a scan of some of the later words but I think this is the correct reading

So a naive program can just solve the puzzle repeatedly, differently, and ccmpute the GCD of the rows, and output the one with the highest result. There aren't infinitely many solutions to a sodoku style puzzle, so...?