
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 graph of the odd function $f(x)=ax^{3}+bx^{2}+cx$ passes through points $A(-\sqrt{2}, \sqrt{2})$ and $B(2\sqrt{2},10\sqrt{2})$.

(1) Find the expression for $f(x)$;

(2) Determine the intervals of monotonicity for $f(x)$;

(3) If the equation $f(x)+m=0$ has three distinct real roots, find the range of values for $m$.

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