
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
Given $a\neq4$, $b\neq5$, and $c\neq6$, what is the simplest form of the expression below?
\[
\frac{a-4}{6-c} \cdot \frac{b-5}{4-a} \cdot \frac{c-6}{5-b}
\]
A) -1
B) 1
C) abc - 456
D) 456 - abc
E) 0

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