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.
--------
Question: Problem: how many prime numbers are between 76 / 8 and 124 / 5 ?
Options: a. 1, b. 2, c. 3, d. 4, e. 5

Answer: e

Question: 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

Answer: e

Question: Problem: the length of a rectangle is reduced by 22 %. by what % would the width have to be increased to maintain the original area ?
Options: a. 14 %, b. 15 %, c. 28 %, d. 30 %, e. 35 %

Answer:
c