
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
The real numbers \( a \) and \( b \) satisfy the equations \( a^3 - 3a^2 + 5a - 17 = 0 \) and \( b^3 - 3b^2 + 5b + 11 = 0 \). Find \( a + b \).

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