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: virginia, adrienne, and dennis have taught history for a combined total of 96 years. if virginia has taught for 9 more years than adrienne and for 12 fewer years than dennis, for how many years has dennis taught ?
Options: a. 23, b. 32, c. 35, d. 41, e. 42

Ex Output:
e

Ex Input:
Problem: aaron will jog from home at 2 miles per hour and then walk back home by the same route at 4 miles per hour. how many miles from home can aaron jog so that he spends a total of 3 hours jogging and walking ?
Options: a. 5, b. 7, c. 3, d. 9, e. 10

Ex Output:
c

Ex Input:
Problem: a, b and c invests rs. 2000, rs. 3000 and rs. 4000 in a business. after two year a removed his money; b and c continued the business for one more year. if the net profit after 3 years be rs. 4800, then a ' s share in the profit is ?
Options: a. 600, b. 400, c. 678, d. 867, e. 768

Ex Output:
e