
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 following is known about the reals  $ \alpha$  and  $ \beta$ 

 $ \alpha^{3}-3\alpha^{2}+5\alpha-17=0$  and  $ \beta^{3}-3\beta^{2}+5\beta+11=0$ 

Determine  $ \alpha+\beta$ 

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