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: what is the sum of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 7 ?
Options: a. 70,592, b. 64,850, c. 64,749, d. 149,700, e. 156,720
answer:
a

question:
Problem: virginia, adrienne, and dennis have taught history for a combined total of 96 years. if virginia has taught for 9 more years than adrienne and for 12 fewer years than dennis, for how many years has dennis taught ?
Options: a. 23, b. 32, c. 35, d. 41, e. 42
answer:
e

question:
Problem: the compound ratio of 2 / 3, 6 / 7, 4 / 3 and 1 / 8 is given by ?
Options: a. 2 / 21, b. 1 / 48, c. 1 / 98, d. 1 / 96, e. 1 / 68
answer:
a