
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
Angela has $a$ marbles. Brian has $1.5$ times as many marbles as Angela. Caden has $2.5$ times as many marbles as Brian, and Daryl has $4$ times the number of marbles Caden has. If in total Angela, Brian, Caden, and Daryl have $90$ marbles, what is the value of $a$?

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