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 the sides of a cube are in the ratio 5: 3. what is the ratio of their diagonals ?
Options: ['a. 5: 9', 'b. 9: 3', 'c. 5: 4', 'd. 3: 5', 'e. 5: 3']

Output: e


Input: Consider Input: Problem: a bag contains 12 red marbles. if someone were to remove 2 marbles from the bag, one at a time, and replace the first marble after it was removed, the probability that neither marble would be red is 25 / 36. how many marbles are in the bag ?
Options: a. 24, b. 48, c. 60, d. 72, e. 84

Output: b


Input: Consider Input: Problem: money invested at x %, compounded annually, triples in value in approximately every 112 / x years. if $ 2000 is invested at a rate of 8 %, compounded annually, what will be its approximate worth in 28 years ?
Options: a. $ 3,750, b. $ 5,600, c. $ 8,100, d. $ 18,000, e. $ 22,500


Output: d