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N is a positive integer. When N is divided by 17, the remainder is 5. What are the three smallest possible values of N?

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The smallest value of N would be N = 5.  When 5 is divided by 17, the quotient is 0 and the remainder is 5.  To get the next, we add 17: N = 5 + 17 = 22.  To get the next, we add 17 again: N = 22 + 17 = 39.  The first three = {5, 22, 39}.

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