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a). Counterexample x=0, in this case there is no y since 0*y must be 1, but in fact, 0*y is equal to 0.
b). Counterexample is any integer x which is less than -100 (e.g. -101, -102, ...)
In this case there is no y because the square of y cannot be less than 0.
c). Counterexample - for instance, x=1 and y=2, the square of x is 1, while the cube of y is 8. It is obvious they are not equal.