
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
If \(a, b,\) and \(c\) are positive integers such that \(3a = 4b = 7c\), what is the smallest possible value of \(a + b + c\)?
(a) 84
(b) 36
(c) 61
(d) 56
(e) 42

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