You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.

Example Input: Question: In a certain Gun shooting competition prizes were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points . No other points were awarded. John participated several times in the competition. The product of all the points he received was 84700. How many times did he participate in the competition.

Option A: 7

Option B: 5

Option C: 3

Option D: 2

Option E: cannot be determined
Example Output: Option E

Example Input: Question: Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 41 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?

Option A: 140

Option B: 175

Option C: 210

Option D: 245

Option E: 280
Example Output: Option D

Example Input: Question: A rectangular-shaped carpet that measures x feet by y feet is priced at $35. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)

Option A: 180xy

Option B: 180/(xy

Option C: 20xy

Option D: 315/(xy

Option E: xy/180
Example Output:
Option D