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How did AI solve the International Math Olympiad questions and win the gold medal?

An artificial intelligence model has been trained to solve International Math Olympiad (IMO) questions like a real math student. Not only does it provide the correct answer, it also writes out the solution step by step like a gold medalist.

Báo Tuổi TrẻBáo Tuổi Trẻ26/07/2025

AI - Ảnh 1.

AI model solves International Mathematical Olympiad (IMO) questions

AI can now not only solve common math problems but also pass the International Mathematical Olympiad (IMO). In a simulation competition organized by international experts in 2025, DeepMind's AlphaMath model achieved a perfect score and won a gold medal.

AI model achieves perfect score in simulation math Olympiad

A new artificial intelligence model called AlphaMath , developed by DeepMind in collaboration with a research team from OpenAI, has just achieved a perfect score in the International Mathematical Olympiad (IMO) simulation exam.

This isn't the first time AI has solved a complex problem, but it is the first time a system has been able to execute a logical chain of reasoning as clearly and coherently as a real contestant would reason to win a gold medal.

AlphaMath doesn’t use programming algebra-style problem-solving techniques like Wolfram Alpha, nor does it rely solely on next-word prediction like current language models. Instead, it relies on a combination of deep neural networks and symbolic logic—an approach known as neuro-symbolic reasoning.

Thanks to this, AlphaMath can understand problems described in natural language, decompose them into precise logical steps, and then present the complete solution as a mathematical proof.

The remarkable thing about AlphaMath's design is that it trains the model not only on correct solutions, but also on millions of incorrect solutions, along with steps to correct errors. This process helps the system learn to detect logical errors, evaluate the reasonableness of assumptions, and adjust the solution direction at each step.

This is a shift from "memorizing patterns" to "structured critical thinking" learning, which helps the model not only solve correctly but also control the reasoning process like a professional mathematician.

When tested with a simulated IMO exam, AlphaMath demonstrated the ability to analyze the problem itself, re-establish assumptions, propose approaches, critique its own solutions, and finally present the solution in text with formulas, in the way that real IMO contestants often do.

This is the first time an AI system has not only found the answer , but also reproduced the reasoning process so fully and convincingly that it can be graded like a real handwritten exam.

The Rise of Reasoning AI: From Math Solving to Knowledge Design

AlphaMath's success not only demonstrates AI's new capabilities in mathematics, but also extends computers' ability to access highly structured knowledge spaces that were previously available only to humans.

Being able to understand problems, analyze logic, construct proofs, and self-reflect suggests that AI is getting closer to the ability to manipulate formal knowledge, one of the great challenges of artificial intelligence.

AlphaMath does not work like a traditional digital computer. The model understands natural language and uses it to create organized mathematical reasoning structures.

This is a step forward that will allow artificial intelligence to not only read and respond, but also build its own verifiable thinking systems. When reasoning is modeled and automated , AI will not only help humans find answers, but can also play a role in detecting errors in programming, proving theorems, designing microchips, or researching theoretical physics.

What’s unique is that AlphaMath doesn’t just process mathematical formulas as input, but also works directly with the written problem description, just like a student would receive an exam and start thinking. This creates a higher level of interoperability between AI and academic fields, where language and reasoning are core tools, not just pure calculation.

Although AlphaMath cannot yet generate new problems or discover creative mathematical concepts, which requires human intuition and experience, its perfect score on the simulated IMO exam is a clear signal that AI is entering a new stage of no longer just responding, but also reasoning systematically.

And that is the foundation for future generations of specialized AI, where logic is no longer a human privilege.

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Tuan Vi

Source: https://tuoitre.vn/ai-giai-de-olympic-toan-quoc-te-the-nao-ma-gianh-huy-chuong-vang-20250725180121618.htm


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