
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 \( a \) and \( b \) be real numbers satisfying:
\[
a^3 - 18a^2 + 75a - 200 = 0
\]
\[
8b^3 - 72b^2 - 350b + 3200 = 0.
\]
Compute \( a + b \).

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