
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
When Clara counts the coins in her purse by 7, she has three left over. When she counts them by 5, she has four left over. What is the least possible number of coins in her purse?

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