
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/>$(1)\left(-16\right)-25+\left(-43\right)-\left(-39\right)$;<br/>$(2)(-\frac{3}{4})^{2}\times (-8+\frac{1}{3})$;<br/>$(3)16\div (-\frac{1}{2})\times \frac{3}{8}-|-45|\div 9$;<br/>$(4)-1^{2024}-\left(2-0.75\right)\times \frac{2}{7}\times [4-\left(-5\right)^{2}]$.

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