
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
On the board there was a problem involving the division of two positive numbers. David noticed that if the dividend is increased by two and the divisor by seven, the quotient remains unchanged.

By how much should the divisor be increased so that when the dividend is increased by three, the quotient again remains unchanged?

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