
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 \[f(x) = \left\{
\begin{array}{cl}
px+4 & \text{ if }x>0, \\
pq & \text{ if }x=0, \\
qx+d & \text{ if }x<0.
\end{array}
\right.\]If $f(3)=7$, $f(0)=6$, and $f(-3)=-12$, and $p$, $q$, and $d$ are nonnegative integers, then what is $p+q+d$?

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