
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 numbers for the following:<br/>①$-5$, ②$\pi $, ③$-\frac{1}{3}$, ④$\frac{22}{7}$, ⑤$\sqrt{9}$, ⑥$-0.2$, ⑦$\sqrt{5}$, ⑧$0$, ⑨$-1.1010010001\ldots$ (with an extra $0$ between every two $1$s).<br/>Integers: ______;<br/>Negative fractions: ______;<br/>Irrational numbers: ______.

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