
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 the function $f(x)=(mx-1)e^{x}-x^{2}$.
(1) If the slope of the tangent line to the curve $y=f(x)$ at the point $(1,f(1))$ is $e-2$, find the monotonic intervals of the function $f(x)$;
(2) If the inequality $f(x) < -x^{2}+mx-m$ with respect to $x$ has exactly two integer solutions, find the range of the real number $m$.

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