
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
Let the function $f(x)=(x^{2}+ax-a)\cdot e^{-x}$ where $a\in \mathbb{R}$.  
(I) When $a=0$, find the equation of the tangent line to the curve $y=f(x)$ at the point $(-1,f(-1))$;  
(II) Let $g(x)=x^{2}-x-1$, if for any $t\in[0,2]$, there exists $s\in[0,2]$ such that $f(s)\geqslant g(t)$ holds, find the range of values for $a$.

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