
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
In a collection of blue, red, and green marbles:
- There are 30% more red marbles than blue marbles.
- There are 50% more green marbles than red marbles.
- There are 20% fewer yellow marbles than green marbles.
If there are $r$ red marbles, determine the total number of marbles in the collection.

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