
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
Determine the number of factors of \( 5^x + 2 \cdot 5^{x+1} \).

(a) \( x \)   
(b) \( x+1 \)   
(c) \( 2x \)   
(d) \( 2x+2 \)

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