
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
Francesca chooses an integer from the list \(-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6\) and then a second integer that is larger than the first. How many such pairs of integers can she choose so that the sum of the pair is 3?

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