
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 $A=\{x|2x^2+7x-15<0\}$, and set $B=\{x|x^2+ax+b\leq0\}$, satisfying $A\cap B=\emptyset$, $A\cup B=\{x|-5<x\leq2\}$. Find the real numbers $a=\boxed{\_\_\_\_\_\_}$, $b=\boxed{\_\_\_\_\_\_}$.

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