
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
James has a jar containing 120 quarters, 200 dimes, and 90 half-dollars. Lindsay has a jar that contains 150 quarters, 310 dimes, and 160 half-dollars. They decide to pool their coins and make complete rolls, where a roll of quarters contains 40 quarters, a roll of dimes contains 50 dimes, and a roll of half-dollars contains 20 half-dollars. Determine the total value in dollars of the leftover quarters, dimes, and half-dollars.

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