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.

Example Input: Question: Which of the following is closer to (23!+22!)/(23!-22!)?

 Option A: 49

 Option B: 36

 Option C: 25

 Option D: 16

 Option E: 1
Example Output: Option E

Example Input: Question: If the average (arithmetic mean) of 18 consecutive odd integers is 414, then the least of these integers is

 Option A: a

 Option B: b

 Option C: c

 Option D: d

 Option E: e
Example Output: Option A

Example Input: Question: Three hoses work to fill a tub at at different rate. Hose E and B, working together, can fill the tub in 6/5 of an hour. Hoses E and C can fill it in 3/2 an hour. Houses B and C can fill it in 2 hours. How long does it take all 3 hoses, working together, to fill the tub?
Edited for accurate solution

 Option A: 3/10

 Option B: 2/5

 Option C: 1/2

 Option D: 1

 Option E: 6/5
Example Output:
Option D