
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/>$(1)\frac{5}{7}+(-\frac{5}{6})-(-\frac{2}{7})+1\frac{1}{6}$;<br/>$(2)(\frac{1}{2}-1\frac{1}{3}+\frac{3}{8})÷(-\frac{1}{24})$;<br/>$(3)\left(-3\right)^{3}+\left(-5\right)^{2}-|-3|\times 4$;<br/>$(4)-{1}^{101}-[-0.5-(1-\frac{3}{5}×0.7)÷{(-\frac{1}{2})}^{2}]$.

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