
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/>$(1)23+\left(-16\right)-\left(-7\right)$;<br/>$(2)(\frac{3}{4}-\frac{7}{8}-\frac{5}{12})×(-24)$;<br/>$(3)(1\frac{3}{4}-\frac{7}{8}-\frac{7}{12})÷(-\frac{7}{8})+(-\frac{7}{8})÷(1\frac{3}{4}-\frac{7}{8}-\frac{7}{12})$;<br/>$(4)-{1}^{4}-(1-0.5)×\frac{1}{3}×[2-{(-3)}^{2}]$.

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