
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
Real numbers $u$ and $v$ are roots of $p(x)=x^3+cx+d$, and $u+3$ and $v-2$ are roots of $q(x)=x^3+cx+d-270$. Determine all possible values of $d$, separated by commas.

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