
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. $(-1)^{2}+(\pi-3.14)^{0}+2\sin60°+|1-\sqrt{3}|-\sqrt{12}$;
2. Solve the quadratic equation $x(x-2)=x-2$;
3. Simplify and evaluate $(x+2+\frac{4}{x-2})÷\frac{x^{3}}{x^{2}-4x+4}$, where $x$ is a suitable non-negative integer that satisfies $x\leqslant 2$.

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