
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 \[M=\frac{\sqrt{\sqrt{7}+3}+\sqrt{\sqrt{7}-3}}{\sqrt{\sqrt{6}+1}}-\sqrt{4-2\sqrt{3}}.\]
A) \( \sqrt{2} + 1 \)
B) \( \sqrt{3} \)
C) \( \frac{\sqrt{3}}{2} + 1 \)
D) \( \frac{\sqrt{3}}{2} - 1 \)
E) \( \sqrt{3} - 1 \)

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