
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
1. Evaluate the expression: $\sqrt{8} + \left(\frac{1}{2}\right)^{-1} - 2\sin45^\circ - |1 - \sqrt{2}|$.
2. Solve the fractional equation: $\frac{1-x}{x-3} = \frac{1}{3-x} - 2$.

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