Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.

Input: Consider Input: Problem: what is the smallest positive integer x such that 66 - x is the cube of a positive integer
Options: a. 5, b. 7, c. 47, d. 9, e. 2

Output: e


Input: Consider Input: Problem: on the number line, the number p is twice as many units from - 2 as - 2 is from 5. if p is less than – 2, what is the value of p ?
Options: a. – 16, b. – 10, c. – 6, d. 10, e. 14

Output: a


Input: Consider Input: Problem: if the perimeter of a rectangular garden is 700 m, its length when its breadth is 100 m is ?
Options: a. 299 m, b. 777 m, c. 200 m, d. 250 m, e. 128 m


Output: d