
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 \( x_{1}, x_{2}, x_{3} \) be the roots of the equation
\[ 
x^{3} - 17x - 18 = 0 
\]
where \( -4 < x_{1} < -3 \) and \( 4 < x_{3} < 5 \).

(1) Find the integer part of \( x_{2} \).
(2) Find the value of \( \arctan x_{1} + \arctan x_{2} + \arctan x_{3} \).

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