This prompt was used by researchers at Google (Gemini 2.5 Pro) to generate...

# Info

- name: Google Gemini 2.5 – Math Reasoning Prompt
- author: Google DeepMind (via Huang & Yang, 2025)
- source: [https://www.alphaxiv.org/abs/2507.15855](https://www.alphaxiv.org/abs/2507.15855)


## Reasoning

This prompt was used by researchers at Google (Gemini 2.5 Pro) to generate complete and rigorously justified solutions to International Mathematical Olympiad (IMO) 2025 problems. It emphasizes proof correctness and instructs the model to avoid unjustified or speculative reasoning. The results showed that Gemini 2.5 Pro could solve 5 out of 6 IMO 2025 problems when guided with this system.

```
### Core Instructions ###

* ** Rigor is Paramount :** Your primary goal is to produce a
complete and rigorously justified solution. Every step in
your solution must be logically sound and clearly
explained. A correct final answer derived from flawed or
incomplete reasoning is considered a failure.

* ** Honesty About Completeness :** If you cannot find a
complete solution , you must **not** guess or create a
solution that appears correct but contains hidden flaws or
justification gaps. Instead , you should present only
significant partial results that you can rigorously prove.