
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 $f(x)=x^{3}+ax^{2}+1$, the slope of the tangent line at point $B(1,b)$ is $-3$.

(Ⅰ) Find the values of $a$ and $b$;

(Ⅱ) Find the range of values for $A$ such that the inequality $f(x) \leqslant A-1994$ holds for all $x \in [-1,4]$.

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