
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 for the following numbers: $-|-5|$, $2.525525552\ldots$, $0$, $-(-\frac{3}{4})$, $0.3$, $-\left(-6\right)$, $-\frac{π}{3}$, $\frac{22}{7}$.<br/>$(1)$ Set of negative numbers: $\{ \_\_\_\_\_\_\ldots \}$;<br/>$(2)$ Set of integers: $\{ \_\_\_\_\_\_\ldots \}$;<br/>$(3)$ Set of fractions: $\{ \_\_\_\_\_\_\ldots \}$;<br/>$(4)$ Set of irrational numbers: $\{ \_\_\_\_\_\_\ldots \}$.

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