
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 $f(x)=(ax^{2}+x-1)e^{x}$, where $e$ is the base of the natural logarithm, and $a∈R$.
(I) If $a < 0$, find the monotonic intervals of $f(x)$;
(II) If $a=-1$, the graph of function $f(x)$ intersects with the graph of function $g(x)= \frac {1}{3}x^{3}+ \frac {1}{2}x^{2}+m$ at 3 distinct points, find the range of the real number $m$.

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