
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 expression \[(3+2)^{127} + 3(2^{126} + 3^{126})\].
A) \(5^{127} + 3 \cdot 2^{126} + 3 \cdot 3^{126}\)
B) \(5^{127} + 2 \cdot 2^{126} + 3 \cdot 3^{126}\)
C) \(5^{130}\)
D) \(5^{127} + 2^{127} + 3^{127}\)
E) \(5^{127} + 5 \cdot 2^{126} + 5 \cdot 3^{126}\)

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