
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 digits 1 through 6 into the following equations, using each digit exactly once, so that:
1. A + B is a multiple of 2
2. C + D is a multiple of 3
3. E + F is a multiple of 5

Determine the smaller value of C and D.

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