prompt: Bill composes 20 total math questions for money.  Ryan composes twice as many problems as Bill, and Frank composes 3 times as many as Ryan.  Assuming each person has to compose 4 different types of math problems in equal proportion out of the total amount, how many problems of each type does Frank compose?
messages.content: Bill composes 20 total math questions for money.  Ryan composes twice as many problems as Bill, and Frank composes 3 times as many as Ryan.  Assuming each person has to compose 4 different types of math problems in equal proportion out of the total amount, how many problems of each type does Frank compose?
messages.role: user
messages.content: Since Ryan composes twice as many problems as Bill's total of 20, this means Ryan composes 20*2=<<20*2=40>>40 problems
  Frank composes 3 times as many as Ryan does, so this means Frank composes 40*3=<<40*3=120>>120 problems.
  Since Frank needs to submit 4 types of problems in equal proportion out of his total, this means he needs to make 120/4= <<120/4=30>>30 problems of each type.
  #### 30
messages.role: assistant