
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
Two circles intersect at two points $C$ and $D$. The first circle is centered at $(3, -2)$ with a radius of $5$. The second circle is centered at $(3, 6)$ with a radius of $3$. Find $(CD)^2$.

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