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 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

Output: Option E

Input: Consider Input: Question: The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 210?

Option A: 3

Option B: 14

Option C: 30

Option D: 42

Option E: 70

Output: Option D

Input: Consider Input: Question: A certain essay consists of 13 paragraphs. Each paragraph contains at least 120 words but not more than 125 words. Which of the following could be the total number of words in the essay?

Option A: 1440

Option B: 1540

Option C: 1610

Option D: 1740

Option E: 1840
Output: Option C