
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 $u+5$ and $v-4$ are roots of $q(x) = x^3 + cx + d + 300$. Determine all possible values of $d$.

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