
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 \(\alpha\) and \(\beta\) satisfy the equations \(\alpha^3 - 3\alpha^2 + 5\alpha - 4 = 0\) and \(\beta^3 - 3\beta^2 + 5\beta - 2 = 0\) respectively. Find the value of \(\alpha + \beta\).

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