
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
There are three straight lines in three-dimensional space. Each line passes through four points of the form $(1,0,a), (b,1,0), (0,c,1),$ and $(9d,9d,-d)$ where $a, b, c, d$ are real numbers, not necessarily in that order. Determine all possible values of $d$ such that all points are collinear on each line.

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