
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
Please place the following numbers into the corresponding sets: $+4$, $-1$, $|{-\frac{1}{2}}|$, $-\frac{2}{7}$, $0$, $2.5$, $-1.22$, $10\%$. Positive number set: $\{ \_\_\_\_\_\_\ldots \ldots \}$; Integer set: $\{ \_\_\_\_\_\_\ldots \ldots \}$; Negative number set: $\{ \_\_\_\_\_\_\ldots \ldots \}$.

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