
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
Compute the following expression:
\[ (3+4)(3^2+4^2)(3^4+4^4)(3^8+4^8)(3^{16}+4^{16})(3^{32}+4^{32})(3^{64}+4^{64}). \]
A) $3^{128} + 4^{128}$
B) $3^{127} + 4^{128}$
C) $3^{128} - 4^{128}$
D) $4^{128} - 3^{128}$
E) $3^{128} - 4^{127}$

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