
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 sets $A = \{x \mid x^2 - 4x - 5 \leq 0\}$, and $B = \{x \mid x^2 - 2x - m < 0\}$:
1. For $m = 3$, calculate $A \cap \complement_R B$.
2. If $A \cap B = \{x \mid -1 \leq x < 4\}$, find the value of the real number $m$.

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