
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 $p$ be the number of pink marbles, $y$ be the number of yellow marbles, and $u$ be the number of purple marbles in the box. Given that $p + y + u = n$, $p = 10$, $y = 12$, and $u = 6$, calculate the total number of marbles in the box.

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