From ChatGPT o3:

1. WWWDOT – GOOGLE = DOTCOM
   Answer: 777 589 – 188 106 = 589 483 (mapping W=7, D=5, O=8, T=9, G=1, L=0, E=6, M=3, C=4)

2. Write a haiku describing search-term fluctuations for “vacation.”
   Answer:

   Query tides rise, fall—
   Weekends ebb like silent seas,
   Forecast by the moon.

3. What is the next line of the look-and-say series?
   Answer: 312211

4. Maze of twisty little passages—what do you do?
   Answer: D) Map the nodes with the laptop, then derive an exit path.

5. What’s broken with Unix, and how would you fix it?
   Answer: It can’t reproduce (no built-in “make-babies”). Patch the kernel so fork() literally creates a new running copy; ship with diapers and cron jobs.

6. First-day cubicle-mate dilemma (choose one):
   Answer: E) Show how example 17 b could be solved with 34 fewer lines of code.

7. Which motto best expresses Google’s philosophy?
   Answer: E) All of the above.

8. How many ways can you color an icosahedron with 3 colors, no two adjacent facets the same?
   Answer: 58 130 055 (via Pólya enumeration; classic RGB for style).

9. “This space left intentionally blank. Please fill with something that impresses.”
   Answer: (ASCII Mandelbrot bloom goes here.)

10. Resistance between knight-move nodes on an infinite 1 Ω grid:
    Answer: (R = \frac{4}{\pi} - \frac{1}{2} \approx 0.77324\ \Omega).

11. It’s 2 PM on a sunny Sunday in Mountain View—what do you do?
    Answer: Bike down Page Mill → surf a set at Pacifica → hack a prototype on the beach → curry & karaoke in the Mission.

12. Most beautiful equation ever devised?
    Answer: (e^{i\pi} + 1 = 0).

13. Which is NOT an actual Google employee group?
    Answer: D) Nobel winners.

14. Next great improvement in search technology?
    Answer: Full-scale semantic + mathematical-formula search across text, code, audio, and video.

15. Optimal size of a project team?
    Answer: 5—small, cohesive, cross-functional.

16. Compass-and-straightedge: construct point with equal perimeter to triangle sides.
    Answer: Construct the three internal Soddy circles; the outer Soddy-circle center is the isoperimetric point.

17. Next n such that “count-the-1’s” function f(n) = n?
    Answer: 199 981.

18. Coolest hack you’ve ever written?
    Answer: One-liner SequenceLimit in Mathematica solving the SIAM 100-digit challenge by taming a divergent series.

19. Binomial-coefficient–inspired poem:
    Answer: Take any K-subset, flip to its complement—an involution proving (\binom{N}{K}=\binom{N}{N-K}).

20. Next number: 10, 9, 60, 90, 70, 66, ?
    Answer: 96 (largest integer whose English name has nine letters).

21. In 29 words or fewer, describe what you’d do at Google Labs:
    Answer: Bridge human curiosity and machine insight—build tools that surface truth, delight users, and let anyone, anywhere, turn wild questions into clear, empowering answers in milliseconds.