
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
Given set A = {x | x^2 - x - 2 ≥ 0}, and set B = {x | (1 - m^2)x^2 + 2mx - 1 < 0, m ∈ R}
1. When m = 2, find set ∁\_RA and set B;
2. If set B ∩ Z is a singleton set, find the set of possible values for real number m;
3. If the number of elements in set (A ∩ B) ∩ Z is n (n ∈ N*), find the set of possible values for real number m

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