
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 a function $f(x) = e^x - ax$ (where $a \in \mathbb{R}$, and $e$ is the base of the natural logarithm),
1. Discuss the monotonicity of the function $f(x)$.
2. If $a = 1$, the function $g(x) = (x - m)f(x) - e^x + x^2 + x$ is increasing on the interval $x \in (2, +\infty)$. Find the range of values for the real number $m$.

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