
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: $8$, $-1$, $-0.4$, $\frac{3}{5}$, $0$, $\frac{1}{3}$, $-1\frac{3}{7}$, $-\left(-5\right)$, $-|-\frac{20}{7}|$.  
Positive number set $\{ \_\_\_\_\_\_\ldots \}$;  
Negative number set $\{ \_\_\_\_\_\_\ldots \}$;  
Integer set $\{ \_\_\_\_\_\_\ldots \}$;  
Fraction set $\{ \_\_\_\_\_\_\ldots \}$;  
Non-negative rational number set $\{ \_\_\_\_\_\_\ldots \}$.

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