
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

Fill the numbers 1 through 6 into the three equations in the diagram, such that each number is used exactly once, $\mathrm{A}+\mathrm{B}$ is a multiple of 2, $\mathrm{C}+\mathrm{D}$ is a multiple of 3, $\mathrm{E}+\mathrm{F}$ is a multiple of 5. Find the smaller number between $\mathrm{C}$ and $\mathrm{D}$. (Enter specific value)

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