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: 210 students were asked in a survey if they preferred windows or mac brand computers. 60 students claimed that they preferred mac to windows brand computers. one third as many of the students who preferred mac to windows, equally preferred both brands. 90 of the students had no preference. how many of the students in the survey preferred windows to mac brand computers ?
Options: a. 25, b. 40, c. 50, d. 60, e. 75
answer:
b

question:
Problem: the number 35 is equal to the sum of the cubes of two integers. what is the product of those integers ?
Options: a. 6, b. 15, c. 21, d. 27, e. 39
answer:
a