
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:<br/>$(1)20+3-\left(-27\right)+\left(-5\right)$;<br/>$(2)\left(-7\right)-(-6\frac{5}{6})+|-3|+1\frac{1}{6}$;<br/>$(3)(\frac{1}{4}+\frac{3}{8}-\frac{7}{12})\div \frac{1}{24}$;<br/>$(4)-1^{4}-\left(1-0.4\right)+\frac{1}{3}\times [\left(-2\right)^{2}-6]$.

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