
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
The equation $x^2 - x - m = 0$ has solutions in the interval $(-1, 1)$.

1. Find the set $M$ of all real numbers $m$ that satisfy the condition.
2. Let $N$ be the solution set of the inequality $(x - a)(x + a - 2) < 0$. If $M \subseteq N$, find the range of values for $a$.

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