
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
Consider the expression $3 + \sqrt{3} + \frac{1}{3 + \sqrt{3}} + \frac{1}{\sqrt{3} - 3}$. What is its value?
A) $3$  
B) $3 + \sqrt{3}$  
C) $3 + \frac{2\sqrt{3}}{3}$  
D) $3\sqrt{3}$  
E) $\frac{3\sqrt{3}}{3}$

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