
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
Determine the coefficients $C$ and $D$ in the equation 

$$
x^{4}+4 x^{3}-34 x^{2}+C x+D=0
$$

such that the roots of the equation form an arithmetic sequence.

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