
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
Suppose Angela has $b$ marbles, Brian has three times as many marbles as Angela, Caden has four times as many marbles as Brian, and Daryl has six times the number of marbles Caden has. If together Angela, Brian, Caden, and Daryl have 312 marbles, what is the value of $b$?

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