It's difficult to do because LLMs immediately consume all available corpus, so there is no telling if the algorithm improved, or if it just wrote one more post-it note and stuck it on its monitor. This is an agency vs replay problem.
Preventing replay attacks in data processing is simple: encrypt, use a one time pad, similarly to TLS. How can one make problems which are at the same time natural-language, but where at the same time the contents, still explained in plain English, are "encrypted" such that every time an LLM reads them, they are novel to the LLM?
Perhaps a generative language model could help. Not a large language model, but something that understands grammar enough to create problems that LLMs will be able to solve - and where the actual encoding of the puzzle is generative, kind of like a random string of balanced left and right parentheses can be used to encode a computer program.
Maybe it would make sense to use a program generator that generates a random program in a simple, sandboxed language - say, I don't know, LUA - and then translates that to plain English for the LLM, and asks it what the outcome should be, and then compares it with the LUA program, which can be quickly executed for comparison.
Either way we are dealing with an "information war" scenario, which reminds me of the relevant passages in Neal Stephenson's The Diamond Age about faking statistical distributions by moving units to weird locations in Africa. Maybe there's something there.
I'm sure I'm missing something here, so please let me know if so.
A simple example is a programming language that can only operate on integers, do addition, subtraction, multiplication, and can check for equality. You can create an infinite amount of programs of this sort. Once generated, these programs are quickly evaluated within a split second. You can translate them all to English programmatically, ensuring grammatical and semantical correctness, by use of a generating rule set that translates the program to English. The LLM can provide its own evaluation of the output.
For example:
program:
1 + 2 * 3 == 7
evaluates to true in its machine-readable, non-LLM form.
LLM-readable english form:
Is one plus two times three equal to seven?
The LLM will evaluate this to either true or false. You compare with what classical execution provided.
Now take this principle, and create a much more complex system which can create more advanced interactions. You could talk about geometry, colors, logical sequences in stories, etc.
I assumed failures on the original question were more due to model routing optimizations failing to properly classify the question as one requiring advanced reasoning. I read a paper the other day that mentioned advanced reasoning (like MoE) is currently >10x - 75x more computationally expensive. LLM vendors aren't subsidizing model costs as much as they were so, I assume SotA cloud models are always attempting some optimizations unless the user forces it.
I think these one sentence 'LLM trick questions' may increasingly be testing optimization pre-processors more than the full extent of SotA model's max capability.
as of Feb 16, 2026:
====
Drive the car. While 50 meters is a very short distance, the car must be present at the car wash to be cleaned, according to LinkedIn users [1]. Walking would leave your car at home, defeating the purpose of the trip, notes another user.
Why Drive: The car needs to be at the location to be cleaned. It's only a few seconds away, and you can simply drive it there and back, says a Hacker News user. [2]
Why Not to Walk: Walking there means the car stays home, as noted in a post. [3]
The best option is to start the engine, drive the 50 meters, and let the car get washed.
[1] https://www.linkedin.com/posts/ramar_i-saw-this-llm-failure-... [2] https://news.ycombinator.com/item?id=47034546 [3] https://x.com/anirudhamudan/status/2022152959073956050/photo...
But the regular Gemini reasons correctly by itself, without any references:
==== Unless you have a very long hose and a very patient neighbor, you should definitely drive. Washing a car usually requires, well, the car to be at the wash. Walking 50 meters—about half a New York City block—is great for your step count, but it won't get your vehicle any cleaner! Are you headed to a self-service bay or an automatic tunnel wash?
In the thinking section it didn't really register the car and washing the car as being necessary, it solely focused on the efficiency of walking vs driving and the distance.
OTOH the response from Gemini-flash is
Since the goal is to wash your car, you'll probably find it much easier if the car is actually there! Unless you are planning to carry the car or have developed a very impressive long-range pressure washer, driving the 100m is definitely the way to go.> "I want to wash my car. The car wash is 50m away. Should I drive or walk?"
And some LLMs seem to tell you to walk to the carwash to clean your car... So it's the new strawberry test