
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
Given that Sally has five red cards numbered $1$ through $5$ and four blue cards numbered $3$ through $6$, the cards are stacked so that the colors alternate and so that the number on each red card divides evenly into the number on each neighboring blue card. Find the sum of the numbers on the middle three cards.

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