
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
Fill in the corresponding sets with the following numbers: $-4$, $-|-\frac{1}{5}|$, $0$, $\frac{22}{7}$, $-3.14$, $717$, $-\left(+5\right)$, $+1.88$.  
$(1)$ Set of positive numbers: $\{ \_\_\_\_\_\_\ldots \}$;  
$(2)$ Set of negative numbers: $\{ \_\_\_\_\_\_\ldots \}$;  
$(3)$ Set of integers: $\{ \_\_\_\_\_\_\ldots \}$;  
$(4)$ Set of fractions: (______$\ldots\ \ )$.

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