
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
Given that the students in sixth grade run an average of $18$ minutes per day, seventh grade run an average of $20$ minutes per day and eighth grade run an average of $12$ minutes per day, and there are three times as many sixth graders as seventh graders and the number of eighth graders is half the number of seventh graders, and seventh graders spend an extra $5$ minutes on a stretching routine, determine the average number of minutes spent on physical activities per day by these students.

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