
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 the value of the expression:
\[
(5+7)(5^2+7^2)(5^4+7^4)(5^8+7^8)(5^{16}+7^{16})
\]
A) $5^{32} + 7^{31}$  
B) $5^{31} + 7^{32}$  
C) $5^{32} + 7^{32}$  
D) $5^{33} + 7^{31}$  
E) $5^{31} + 7^{33}$

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