
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 universal set $U=\{2,3,a^2+2a-3\}$, and let $A=\{b, 2\}$ with the complement of A in U being $\complement_U A=\{5\}$. Find the values of the real numbers $a$ and $b$.

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