
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/>$(1)-4^2÷(-32)×(\frac{2}{3})^2$;<br/>$(2)(-1)^{10}÷2+(-\frac{1}{2})^3×16$;<br/>$(3)\frac{12}{7}×(\frac{1}{2}-\frac{2}{3})÷\frac{5}{14}×1\frac{1}{4}$;<br/>$(4)1\frac{1}{3}×[1-(-4)^2]-(-2)^3÷\frac{4}{5}$.

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