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: Simplify: 250 x 250 - 100 x 100

 Option A: 761200

 Option B: 761400

 Option C: 52500

 Option D: 761500

 Option E: None of them

Output: Option C


Input: Consider Input: Question: If 6x = 8y = 10z, then what is a possible sum of positive integers x, y, and z?

 Option A: 52

 Option B: 58

 Option C: 84

 Option D: 94

 Option E: 168


Output: Option D