
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/>$(1)(-20)+(+3)-(-5)-(+7)$;<br/>$(2)(-3)\times (-4)-48\div |-6|$;<br/>$(3)(+12)\times (\frac{1}{2}-\frac{5}{3}-\frac{1}{6})$;<br/>$(4)-1^{4}+(-2)^{3}\times (-0.5)+|-1-5|$.

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