
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
Suppose $k \neq 0$. Consider the expression $\left(8k + 9 + 10k^2 - 3k^3\right) + \left(4k + 6 + k^2 + k^3\right)$, in the form $ak^3 + bk^2 + ck + d$, where $a$, $b$, $c$, and $d$ are integers. Find $a+b+c+d$.

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