How many integers in the set
{n is in z | 1 ≤ n ≤ 700}
are divisible by 2 or 7?

Of the integers between 1 and 700 (inclusive), 350 of them are even:



100 of them are exact multiples of 7:



Half of these are multiples of 14:



This means the number of distinct integers in the given set that are multiples of 2 or 7 is

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