
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
Express the following sets in another way:

(1) The set of integers whose absolute value is not greater than 2;

(2) The set of positive numbers less than 10 that are divisible by 3;

(3) The set $\{x \mid x = |x|, x < 5, x \in \mathbb{Z}\}$;

(4) The set $\{(x, y) \mid x + y = 6, x \in \mathbb{N}^*, y \in \mathbb{N}^*\}$;

(5) The set $\{-3, -1, 1, 3, 5\}$.

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