
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/>$(1)-2^{3}\div (-\frac{1}{5})-\frac{1}{2}\times \left(-4\right)^{2}$;<br/>$(2)3\frac{2}{3}×2\frac{2}{15}+5\frac{2}{3}×\frac{13}{15}-2×\frac{13}{15}$.

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