
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 the following expressions:

(1) $\dfrac{m^2-16}{m^2+8m+16} \div \dfrac{m-4}{2m+8} \cdot \dfrac{m-2}{m+2}$

(2) $\dfrac{3}{x+2} + \dfrac{1}{2-x} - \dfrac{2x}{4-x^2}$

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