
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: \(\left[2 \times \left(15^{2} + 35^{2} + 21^{2}\right) - \left(3^{4} + 5^{4} + 7^{4}\right)\right] \div (3 + 5 + 7) =\) 

(Note: \(a^n\) represents \(a\) multiplied by itself \(n\) times, e.g., \(3^4 = 3 \times 3 \times 3 \times 3\))

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