
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/>$(1)-8-6+24$;<br/>$(2)\left(-48\right)\div 6+\left(-21\right)\times (-\frac{1}{3})$;<br/>$(3)(\frac{1}{8}-\frac{1}{3}+\frac{1}{4})\times \left(-24\right)$;<br/>$(4)-1^{4}-\left(1+0.5\right)\times \frac{1}{3}\times [1-\left(-2\right)^{2}]$.

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