
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
Six people, A, B, C, D, E, and F are each assigned a unique number.

A says: "The six of our numbers exactly form an arithmetic sequence."
B says: "The smallest number in this arithmetic sequence is 2."
C says: "The sum of our six numbers is 42."
D says: "The sum of A, C, and E's numbers is twice the sum of B, D, and F's numbers."
E says: "The sum of B and F's numbers is twice A's number."

What is D's number? ( )

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