You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.

Ex Input:
Question: A bag contains 12 red marbles. If someone were to remove 2 marbles from the bag, one at a time, and replace the first marble after it was removed, the probability that neither marble would be red is 49/64. How many marbles are in the bag?

 Option A: 24

 Option B: 48

 Option C: 60

 Option D: 96

 Option E: 84

Ex Output:
Option D


Ex Input:
Question: If 6 (A's capital) = 8 (B's capital) = 18 (C's capital). Then the ratio of their capitals is?

 Option A: 12:15:16

 Option B: 12:15:4

 Option C: 12:9:4

 Option D: 20:15:11

 Option E: 20:15:19

Ex Output:
Option C


Ex Input:
Question: For integers x, y, and z, if (3^x) (4^y) (5^z) = 13,107,200,000 and x + y + z = 16, what is the value of xy/z?

 Option A: undefined

 Option B: 0

 Option C: 3

 Option D: 5

 Option E: 7

Ex Output:

Option B