<human>:  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?
<bot>: How many problems does Ryan compose? ** Since Ryan composes twice as many problems as Bill's total of 20, this means Ryan composes 20*2=<<20*2=40>>40 problems
How many problems does Frank compose? ** Frank composes 3 times as many as Ryan does, so this means Frank composes 40*3=<<40*3=120>>120 problems.
How many problems of each type does Frank compose? ** 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.
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