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.

Ex Input:
Problem: 1391 x 1391 = ?
Options: a. a. 1951609, b. b. 1951601, c. c. 1951602, d. d. 1951603, e. e. 1934881

Ex Output:
e


Ex Input:
Problem: 6 / 9 of the population of the country of venezia lives in montague province, while the rest lives in capulet province. in the upcoming election, 80 % of montague residents support romeo, while 70 % of capulet residents support juliet; each resident of venezia supports exactly one of these two candidates. rounded if necessary to the nearest percent, the probability that a juliet supporter chosen at random resides in capulet is
Options: a. 64 %, b. 41 %, c. 45 %, d. 72 %, e. 78 %

Ex Output:
a


Ex Input:
Problem: carl is facing very difficult financial times and can only pay the interest on a $ 10,000 loan he has taken. the bank charges him a quarterly compound rate of 8 %. what is the approximate interest he pays annually ?
Options: a. 1500, b. 1750, c. 2000, d. 3500, e. 2500

Ex Output:

d