
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
For real numbers $m$ and $n$, define the operation $m \diamond n = \sqrt{m^2 + n^2}$. Calculate $(8 \diamond 15) \diamond (15 \diamond (-8))$.
**A)** 34
**B)** 17
**C)** 8.5
**D)** $17\sqrt{2}$
**E)** $34\sqrt{2}$

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