
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
The average age of 30 fifth-graders is 10 years. The average age of 50 of their parents is 40 years. There are also 10 teachers with an average age of 35 years. What is the average age of all these fifth-graders, their parents, and teachers?

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