
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
Solve the inequality:

\[
\frac{-2\left(x^{2}-5 x+25\right)\left(2 x^{2}+17 x+35\right)}{\left(x^{3}+125\right) \sqrt{4 x^{2}+28 x+49}} \leq x^{2}+3 x-2.
\]

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