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: if a = 105 and a ^ 3 = 21 × 25 × 45 × z, what is the value of z ?
Options: a. 35, b. 42, c. 45, d. 49, e. 54

Output: d


Input: Consider Input: Problem: if n = 2 ^ 0.15 and n ^ b = 1, b must equal
Options: a. 3 / 80, b. 20 / 3, c. 4, d. 5 / 3, e. 80 / 3

Output: b


Input: Consider Input: Problem: a jar of 364 marbles is divided equally among a group of marble - players today. if 2 people joined the group in the future, each person would receive 1 marble less. how many people are there in the group today ?
Options: a. 20, b. 22, c. 24, d. 26, e. 28


Output: d