
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 $f(x)=(ax^{2}-x+a+1)e^{x}$, where $a\in \mathbb{R}$ and $e$ is the base of the natural logarithm.

(Ⅰ) If the tangent line of the curve $y=f(x)$ at the point $(1,f(1))$ is parallel to the $x$-axis, find the value of $a$.

(Ⅱ) If the function $f(x)$ has two extreme points in $(0,+\infty)$, find the range of values for $a$.

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