
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 $U = \{2, 3, a^2+2a-3\}$, if $A = \{b, 2\}$ and the complement of $A$ with respect to $U$, denoted $\complement_U A$, is $\{5\}$, find the real number values of $a$ and $b$. The values are $a = \_\_\_\_\_$, $b = \_\_\_\_\_$.

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