
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:<br/>$(1)2\cos 45^{\circ}+(\pi -\sqrt{3})^{0}-\sqrt{8}$;<br/>$(2)(\frac{2}{{m-1}}+1)\div \frac{{2m+2}}{{{m^2}-2m+1}}$.

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