
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
$(1)27-16+\left(-7\right)-18$；  
$(2)(-6)×(-\frac{3}{4})÷(-\frac{3}{2})$；  
$(3)(\frac{1}{2}-3+\frac{5}{6}-\frac{7}{12})÷(-\frac{1}{36})$；  
$(4)-2^{4}+3\times \left(-1\right)^{4}-\left(-2\right)^{3}$.

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