
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. -32-(-14)+4;
2. $\frac{8}{15}$÷($\frac{1}{3}$-1)×2$\frac{1}{2}$;
3. ($\frac{7}{9}$-$\frac{1}{6}$)×(-6)<sup>2</sup>;
4. $\frac{1}{3}$×[5-(-6)<sup>2</sup>]-2<sup>2</sup>÷(-3).

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