
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
Béla has three types of circular templates: these are suitable for drawing circles with areas of $6 \mathrm{~cm}^{2}$, $15 \mathrm{~cm}^{2}$, and $83 \mathrm{~cm}^{2}$, respectively. Béla wants to draw some circles such that their total area is $220 \mathrm{~cm}^{2}$. How many of each type of circle should he draw?

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