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"What is 3*(-5)" would be such a problem.
5,000,000
You could write it as 5555555555555/1.
Integers are closed under subtraction, meaning that any subtraction problem with integers has a solution in the set of integers.
If I write it, then it will not be your own word problem - it will be mine! In two weeks, the shipper said I'd get the item. I told him I need it in half that time. "How many days is that?" he asked.