
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 set $A=\{x|x+2<0\}$, and set $B=\{x|(x+3)(x-1)>0\}$.
1. Find the intersection $A \cap B$;
2. If the solution set of the inequality $ax^2+2x+b>0$ is $A \cup B$, find the values of $a$ and $b$.

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