
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
Calculate the average (mean) of the side lengths of two squares and the radius of one circle, if the areas of the squares are 25 and 64, and the area of the circle is 36π.

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