
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: $a$ and $b$ satisfy $a^3 - 3a^2 + 5a = 1$, $b^3 - 3b^2 + 5b = 5$, then $a + b = \boxed{\text{•}}$

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