
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  
$(1)(-1\frac{3}{4})-(+6\frac{1}{3})-2.25+\frac{10}{3}$;  
$(2)2\frac{1}{4}×(-\frac{6}{7})÷(\frac{1}{2}-2)$;  
$(3)(-\frac{3}{4}+\frac{5}{6}-\frac{7}{12})÷(-\frac{1}{24})$;  
$(4)-{1}^{4}-\frac{1}{6}×[2-{(-3)}^{2}]$.

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