
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 number \(123456789(10)(11)(12)(13)(14)\) is written in the base-15 number system, which means the number is equal to:

\[
(14) + (13) \cdot 15 + (12) \cdot 15^{2} + (11) \cdot 15^{3} + \ldots + 2 \cdot 15^{12} + 15^{13}
\]

What remainder does this number give when divided by 7?

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