
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
At Lakeview Book Club, the average number of books read in a year by regular members is 5 and by premium members is 12. The average number of books read by all members combined is 8. What is the ratio of regular members to premium members? Express your answer as a common fraction.

Present the answer in LaTex format: \boxed{Your answer}
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