
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/>$(1)(-\frac{3}{7})+\frac{1}{5}+\frac{2}{7}+(-\frac{6}{5})$;<br/>$(2)-\left(-1\right)+3^{2}\div \left(1-4\right)\times 2$;<br/>$(3)(-\frac{1}{6})^2÷(\frac{1}{2}-\frac{1}{3})^2÷|-6|^2$;<br/>$(4)\left(-1\right)^{1000}-2.45\times 8+2.55\times \left(-8\right)$.

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