
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
Consider a cubic polynomial $q(x)$ which passes through the points $(1, 2),$ $(6, 16),$ $(11, 8),$ and $(16, 18)$. Find the sum:
\[q(0) + q(1) + q(2) + \dots + q(17).\]

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