instruction:
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.
question:
Problem: if a = 105 and a ^ 3 = 21 × 25 × 45 × z, what is the value of z ?
Options: a. 35, b. 42, c. 45, d. 49, e. 54
answer:
d


question:
Problem: maxwell leaves his home and walks toward brad ' s house. one hour later, brad leaves his home and runs toward maxwell ' s house. if the distance between their homes is 14 kilometers, maxwell ' s walking speed is 4 km / h, and brad ' s running speed is 6 km / h. what is the total time it takes maxwell before he meets up with brad ?
Options: a. 2, b. 4, c. 5, d. 6, e. 8
answer:
a


question:
Problem: if 5 x = 6 y and xy ≠ 0, what is the ratio of 1 / 4 * x to 1 / 6 * y ?
Options: a. 25 / 6, b. 36 / 25, c. 9 / 5, d. 5 / 6, e. 25 / 36
answer:

c