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: a cat chases a rat 6 hours after the rat runs . cat takes 4 hours to reach the rat . if the average speed of the cat is 90 kmph , what s the average speed of the rat ?

Output: 36 kmph


Input: Consider Input: Problem: what is the units digit of ( 5 ! * 4 ! + 6 ! * 5 ! ) / 2 ?


Output: 0