
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/>$(1)\frac{1}{2}+(-\frac{2}{3})+\frac{4}{5}+(-\frac{1}{2})+(-\frac{1}{3})$;<br/>$(2)2\times \left(-3\right)^{3}-4\times \left(-3\right)+15$;<br/>$(3)(\frac{1}{8}-\frac{1}{3}+1\frac{1}{6})\times \left(-48\right)$;<br/>$(4)-2^{4}-32\div [\left(-2\right)^{3}+4]$.

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