
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 the function be defined as $y = \frac{15x^4 + 6x^3 + 7x^2 + 4x + 5}{5x^5 + 3x^3 + 9x^2 + 2x + 4}$. Determine if there is a horizontal asymptote and if so, find its $y$-value. Also, calculate the x-intercept(s) of the function.

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