
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/>$(1)-20+\left(-14\right)-\left(-18\right)-13$;<br/>$(2)-24×(-\frac{1}{2}+\frac{3}{4}-\frac{1}{3})$;<br/>$(3)-49\frac{24}{25}\times 10$ (simplified calculation);<br/>$(4)-{3}^{2}+[(-\frac{1}{3})×(-3)-\frac{8}{5}÷{2}^{2}]$.

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