Posted by Noah on Monday, January 21, 2008 at 9:55am.
If X is the number you select, your operations result in
(X^2-1)/(X-1) -1
By factoring X^2-1 into (X-1)(X+1), and dividing that by (X-1), you should be able to see why your number game works -- except when X = 1.
Make up your own game using rules of algebra. This should show you how to do it.
trying to create a nimber game
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