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 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

Ex Output:
Option B


Ex Input:
Question: If x, y, and z are positive integers such that x is a factor of y and y is a factor of z, which of the following is NOT necessarily an integer?

 Option A: (x + y

 Option B: (y + z

 Option C: yz/x

 Option D: (2y + 3z

 Option E: (xy + z

Ex Output:
Option A


Ex Input:
Question: If the height of an equilateral triangle TBC is equal in length to the hypotenuse of an isosceles right triangle DEF, a side of ΔTBC is how many times as long as a leg of the right triangle DEF?

 Option A: (√2

 Option B: (√3

 Option C: √2

 Option D: (2√2

 Option E: 2/(√3

Ex Output:

Option D