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 sequence contains y numbers of alternating positive and negative numbers, If the first number is postive and y is an even number, how many negative numbers are in it?

 Option A: (y+1

 Option B: (y-1

 Option C: y/(2+1

 Option D: y/(2-1

 Option E: y/2

Ex Output:
Option E


Ex Input:
Question: Evaluate combination
100C98=100!/(98)!(2)!

 Option A: 4950

 Option B: 1510

 Option C: 4170

 Option D: 3170

 Option E: None of these

Ex Output:
Option A


Ex Input:
Question: If a, b, and c are integer and ab + c is odd, which of the must be true?
I. a + c is odd
II. b + c is odd
III. abc is even

 Option A: I only

 Option B: II only

 Option C: III only

 Option D: I and III only

 Option E: II and III only

Ex Output:

Option C