https://deepmind.google/science/alphafold/

Gemma 4 (open source, free):
https://huggingface.co/google/gemma-4-26B-A4B-it

Given that AI can screw up on math due to hallucinations, it would be fun if there was a channel dedicated to making AI screw up, or stumping it. I have a local LLM that is mostly open source made by Google DeepMind called Gemma 4 26B. Have given it a simple math problem, and it did well. So, it would be cool if you guys can send difficult math problems my way to stump it. As local LLMs are free, I do not pay anything, except for a small amount of electricity. So, can AI solve some math problems? Yeah. But can it make major mistakes? Yes.

Gemma 4 (open source, free):
https://huggingface.co/google/gemma-4-26B-A4B-it

Two balls are dropped from a top of a cliff at a time interval of ##t_0## . The first ball hits the ground and rebounds elastically, essentially reversing its direction instantly without losing speed. It collides with the second ball at height ##h## above the ground. What is the height ##H## of the cliff?

I'm surprised why no one has mentioned AlphaFold yet. That AI can solve protein configurations. So, while AI should be carefully used in all fields like math, it could be carefully used for biology.

https://deepmind.google/science/alphafold/

But it's at least a clue to how many actually use AI in their daily work.

EDIT: Just looking at your rewards I'm sure I can't hold a candle to you.

EDIT2: If I should start reading math again I'd have to start at linear algebra.

You can try @kuruman 's problem which Gemini managed to make a complete dog's breakfast of:

Two balls are dropped from a top of a cliff at a time interval of ##t_0## . The first ball hits the ground and rebounds elastically, essentially reversing its direction instantly without losing speed. It collides with the second ball at height ##h## above the ground. What is the height ##H## of the cliff?

Not sure if it failed or not, but this is the final answer. If you want the whole AI response, feel free to DM me, as I do not want AI generated stuff to be on the forum, unless it is in a dedicated room for research purposes/roasting LLMs. It took 19 minutes for my computer to answer. The prompt was reworded slightly, as I was afraid that uppercase H and lowercase h would throw the AI for a loop, so I used Y as the cliff height.

Thank you. I will plug that in immediately. As Gemma 4 is based upon Gemini, it would probably fail as well.

Not sure if it failed or not, but this is the final answer. If you want the whole AI response, feel free to DM me, as I do not want AI generated stuff to be on the forum, unless it is in a dedicated room for research purposes/roasting LLMs. It took 19 minutes for my computer to answer. The prompt was reworded slightly, as I was afraid that uppercase H and lowercase h would throw the AI for a loop, so I used Y as the cliff height.

View attachment 371238

EDIT: Oh, I meant to quote and reply to @neilparker62 ! Or did I? Now I'm confused. NVM.

OK. You can take the AI compliment too.

EDIT: Oh, I meant to quote and reply to @neilparker62 ! Or did I? Now I'm confused. NVM.

My Ai asks 'the room'
"Considering the Bernoulli Limit in a vacuum (\(P_{atm} = 0\)).
For a siphon to function by gravity alone, the pressure at the crest (\(P_{top}\))
must satisfy:
\(P_{top}=-\rho gh_{max}\)
requiring negative absolute pressure.
Do you accept negative pressure, or is the liquid a solid under tension?"

I queried my AI and it resulted with its own question.
"Do I infer t₀= an unspecified interval in this problem or are you intentionally causing confusion by asking me to use t₀ as a simultaneous action?"
If the first case it returned (H=\frac{g}{2}\left(\frac{t_{0}}{2}+\frac{h}{gt_{0}}\right)^{2}\).
If the latter "There is no unique height \(h\) where they meet, as they are never separated."
Then it chastised my 'professor' for being unnecessarily vague when I provided no additional context.

My Ai asks 'the room'
"Considering the Bernoulli Limit in a vacuum (\(P_{atm} = 0\)).
For a siphon to function by gravity alone, the pressure at the crest (\(P_{top}\))
must satisfy:
\(P_{top}=-\rho gh_{max}\)
requiring negative absolute pressure.
Do you accept negative pressure, or is the liquid a solid under tension?"

Thank you. I will plug that in immediately. As Gemma 4 is based upon Gemini, it would probably fail as well.

Not sure if it failed or not, but this is the final answer. If you want the whole AI response, feel free to DM me, as I do not want AI generated stuff to be on the forum, unless it is in a dedicated room for research purposes/roasting LLMs. It took 19 minutes for my computer to answer. The prompt was reworded slightly, as I was afraid that uppercase H and lowercase h would throw the AI for a loop, so I used Y as the cliff height.

View attachment 371238

Which model did you use?

Nice. Local LLMs are getting better. A year or two ago, none of this would have worked well, if at all.

Which model did you use?