
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 a middle school, the students in sixth grade, seventh grade, and eighth grade run an average of 20, 12, and 18 minutes per day, respectively. There are three times as many sixth graders as eighth graders, and three times as many seventh graders as eighth graders. Calculate the average number of minutes run per day by these students.

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