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.

Input: Consider Input: Question: A rectangular room has the rectangular shaped rug shown as above figure such that the rug's area is 160 square feet and its length is 6 feet longer than its width. If the uniform width between the rug and room is 6 feet, what is the area of the region uncovered by the rug (shaded region), in square feet?

Option A: 32

Option B: 456

Option C: 40

Option D: 46

Option E: 104

Output: Option B

Input: Consider Input: Question: X is able to do a piece of work in 8 days and Y can do the same work in 12 days. If they can work together for 3 days, what is the fraction of work left?

Option A: 8/5

Option B: 6/5

Option C: 7/5

Option D: 3/5

Option E: 4/5

Output: Option D

Input: Consider Input: Question: Bradley owns b video game cartridges. If Bradley's total is one-third the total owned by Andrew and three times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?

Option A: (16/3

Option B: (17/4

Option C: (13/3

Option D: (19/12

Option E: (7/12
Output: Option C