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: If the average (arithmetic mean) of five consecutive negative integers is 8k – 1, what is the difference between the greatest and least of the five integers?

 Option A: 4K

 Option B: 4k^2 -4k

 Option C: 4-4k

 Option D: 4

 Option E: 4k+4

Output: Option D


Input: Consider Input: Question: Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 41 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?

 Option A: 140

 Option B: 175

 Option C: 210

 Option D: 245

 Option E: 280

Output: Option D


Input: Consider Input: Question: In a group of buffaloes and ducks, the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group?

 Option A: 12

 Option B: 3

 Option C: 5

 Option D: 8

 Option E: 10


Output: Option A