
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/>$(1)(-10)-(-4)+5$;<br/>$(2)(-72)\times(\frac{2}{3}-\frac{1}{4}-\frac{5}{6})$;<br/>$(3)-3^{2}-(-2)^{3}\times(-1)^{4}+\sqrt[3]{27}$;<br/>$(4)5+4\times(\sqrt{6}-2)-4\times(\sqrt{6}-1)$.

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