What is the smallest positive integer n that has the following characteristics? 1 n mod 2 = 0, n…

What is the smallest positive integer n that has the following characteristics?

1 n mod 2 = 0, n mod 3 = 0, and n mod 5 = 0

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2. n mod 2 = 1, n mod 3 = 1, and n mod 5 = 1

3. n mod 2 = 0, n mod 3 = 1, and n mod 5 = 0

4. n mod 3 = 2, n mod 5 = 3, and n mod 7 = 5

5. n mod 2 = 1, n mod 3 = 2, n mod 5 = 3, and n mod 7 = 4

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