
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
Given the function $f(x)=ax^{3}+bx^{2}+cx+d (a,b,c,d \in R)$ defined on $R$, its graph is symmetrical about the origin, and $f(x)$ takes the minimum value of $-2$ when $x=1$.
(1) Find the monotonically increasing interval of $f(x)$;
(2) Solve the inequality $f(x) > 5mx^{2}-(4m^{2}+3)x (m \in R)$.

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