
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
The cubic polynomial $q(x)$ satisfies $q(3) = 2,$ $q(9) = 22,$ $q(18) = 14,$ and $q(24) = 34.$ Find
\[
q(2) + q(3) + q(4) + \dots + q(25).
\]

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