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.

Example Input: Problem: a, b and c play a cricket match. the ratio of the runs scored by them in the match is a: b = 6: 3 and b: c = 6: 5. if the total runs scored by all of them are 118, the runs scored by b are ?
Options: a. 24, b. 20.13, c. 30.93, d. 20.93, e. 10.93
Example Output: a

Example Input: Problem: if a and b are positive real numbers, and a ^ 3 + b ^ 3 = 25, then the greatest possible value of a is between :
Options: a. 0 and 3, b. 3 and 4, c. 4 and 5, d. 5 and 7, e. 7 and 9
Example Output: a

Example Input: Problem: john can complete a given task in 18 days. jane will take only 12 days to complete the same task. john and jane set out to complete the task by beginning to work together. however, jane was indisposed 6 days before the work got over. in how many days did the work get over from the time john and jane started to work on it together ?
Options: a. 11, b. 34 / 5, c. 44 / 5, d. 54 / 5, e. 12
Example Output:
d