
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 $a$ and $b$, define $a \diamond b = \sqrt{a^2 + b^2}$. What is the value of
$(7 \diamond 24) \diamond ((-24) \diamond (-7))$?
A) $25$  
B) $625$  
C) $50\sqrt{2}$  
D) $25\sqrt{2}$  
E) $1250$

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