
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
If $r$ is the remainder when each of the numbers $1259$, $1567$, and $2257$ is divided by $d$, where $d$ is an integer greater than $1$, then $d-r$ equals?
A) 1
B) 2
C) 11
D) 179
E) 308

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