The task is to generate the correct answer for a given math problem.

Input: Consider Input: Problem: in a circuit board factory , all circuit boards that pass a verification process are certified . every board that fails the verification process is indeed faulty , but 1 / 8 of those that pass are also faulty . approximately how many faulty circuit boards exist in a group of 3,200 circuit boards where 64 fail inspection ?

Output: 456


Input: Consider Input: Problem: what is the sum of the numbers between 1 and 14 , inclusive ?

Output: 105


Input: Consider Input: Problem: what is the remainder when you divide 2 ^ 200 - 1 by 7 ?


Output: 3