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.

Input: Consider Input: Question: A certain vehicle is undergoing performance adjustments during a set of three trials on an 8-mile track. The first time it travels around the track at a constant rate of p miles per minute, the second time at a constant rate of p^2 miles per minute, and the third time at a constant rate of p^3 miles per minute. If the vehicle takes the same time to travel the first 18 miles of these trials as it does to travel the last 8 miles, how many minutes does it take to complete all three trials (not counting any time between trials)?

 Option A: 18

 Option B: 36

 Option C: 60

 Option D: 96

 Option E: 112 minutes

Output: Option E


Input: Consider Input: Question: 3889 + 14.952 - ? = 3854.002

 Option A: 47.95

 Option B: 49.95

 Option C: 45.97

 Option D: 47.59

 Option E: 45.79

Output: Option B


Input: Consider Input: Question: The LCM and HCF of two numbers are 1000 and 100 respectively. Find the larger of the two numbers if their sum is 1100.

 Option A: 1000

 Option B: 10

 Option C: 567

 Option D: 57

 Option E: 678


Output: Option A