
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/>$(1)-27+\left(-32\right)+\left(-8\right)+72$;<br/>$(2)-4-2\times 32+\left(-2\times 32\right)$;<br/>$(3)\left(-48\right)\div \left(-2\right)^{3}-\left(-25\right)\times \left(-4\right)+\left(-2\right)^{3}$;<br/>$(4)\left(-3\right)^{2}-(1\frac{1}{2})^{3}\times \frac{2}{9}-6\div |-\frac{2}{3}|^{3}$.

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