
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 $f(x)=x^3+(1-a)x^2-a(a+2)x+b$ where $a,b\in\mathbb{R}$:
(Ⅰ) If the graph of the function $f(x)$ passes through the origin and the slope of the tangent at the origin is -3, find the values of $a$ and $b$.
(Ⅱ) If the function $f(x)$ is not monotonic on the interval $(-1, 1)$, determine the range of $a$.

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