
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 $1 + \frac{1}{1 + \sqrt{2}} - \frac{1}{1 - \sqrt{5}}$.
A) $\frac{-\sqrt{2} - \sqrt{5}}{1 + \sqrt{2} - \sqrt{5} - \sqrt{10}}$
B) $1 + \frac{-\sqrt{5} - \sqrt{10}}{1 + \sqrt{2} - \sqrt{5}}$
C) $1 + \frac{-\sqrt{2} - \sqrt{5}}{1 + \sqrt{2} - \sqrt{5} - \sqrt{10}}$
D) $\frac{2}{1 + \sqrt{2} - \sqrt{5}}$

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