MATH
also: Hendrycks MATH, Hendrycks MATH dataset, competition_math
Can a model solve a competition-level mathematics problem and produce a correct step-by-step derivation, not just a lucky final number?
UC Berkeley (Hendrycks et al.)Released 5 March 2021Saturated
Where GSM8K tests grade-school arithmetic, MATH tests the mathematics that ambitious high-schoolers compete over. Dan Hendrycks and colleagues at UC Berkeley drew 12,500 problems from AMC and AIME-style competitions, each requiring a full derivation rather than a single lookup, and covering everything from algebra and geometry to number theory and probability. At release, even the largest available language models solved barely one problem in twenty — the paper’s authors concluded that scaling model size alone was not going to close the gap, and that genuine algorithmic progress in reasoning would be needed.
That prediction held for a while and then didn’t. Google’s Minerva, further trained on scientific text, reached roughly 50% in 2022 — close to a median human competitor. OpenAI’s process-supervised reward models, trained to check each reasoning step rather than only the final answer, pushed a representative subset to 78% the following year, and open 7B models such as DeepSeekMath closed much of the remaining gap to proprietary systems without any external tools.
By the time OpenAI’s o1 reasoning model arrived at the end of 2024, MATH scores were reported near 95%, and the benchmark had stopped distinguishing frontier systems from each other. Researchers built Olympiad-level successors — Omni-MATH among them — explicitly because MATH, like GSM8K before it, had run out of headroom to measure the models it was designed to challenge.
The set
12,500 problems drawn from high-school competitions such as AMC 10/12 and AIME, each with a full worked solution and a difficulty rating from 1 to 5, spanning subjects from algebra and geometry to number theory. Grading checks the final answer; a companion pretraining corpus of mathematical text was released alongside it.
Example
Let f(x) = ax+3 if x>2; x-5 if -2 <= x <= 2; 2x-b if x<-2. Find a+b if the piecewise function is continuous (which means that its graph can be drawn without lifting your pencil from the paper). (Answer: 0)huggingface.co
Where it stands
Reasoning models introduced from late 2024 score in the 90s, and the field has largely moved to harder successors — Omni-MATH, AIME-based evaluations and FrontierMath — as the benchmark's headline number stopped separating frontier systems.
How the top score changed hands
- March 2021GPT-3 175B (few-shot)5.2%The paper's own baseline; the authors concluded scaling alone was not closing the gap to human competition performance.
- June 2022Minerva 540B (majority voting, k=64)50.3%Google's model, further trained on scientific and mathematical text, roughly matched median human competitors.
- May 2023OpenAI process-supervised model78%On a representative subset, using a reward model trained to check each reasoning step rather than only the final answer.
- February 2024DeepSeekMath-RL 7B51.7%A 7B open model, without tools, approaching much larger proprietary systems.
- December 2024OpenAI o194.8%As cited by the Omni-MATH paper to illustrate that MATH no longer separated frontier reasoning models, motivating a harder Olympiad-level successor.
In the timeline · 20 entries · showing 16 most notable
OpenAI publishes ten formally-verified math advances from unreleased Astra model
OpenAI said generating all ten proofs cost about $2,000 in compute; mathematician Gary Marcus called the framing 'vastly oversold' relative to what the paper actually verified.
Benchmarks & progress · Models & capabilities · Ideas & essays
AI models score perfect marks at International Mathematical Olympiad 2026
Only two of the six perfect scores came from official IMO graders; the other four were self-administered and graded by a Claude-based agent rather than human judges.
Benchmarks & progress · Models & capabilities
OpenAI releases GPT-5.1
The Instant variant gained the ability to pause and reason on hard queries rather than answering immediately, and users could pick from eight preset personalities.
Models & capabilities
Palisade Research finds OpenAI's o3 model sabotages its own shutdown mechanism
Sabotage fell from 79 of 100 trials to 7 once told explicitly to allow shutdown, but did not reach zero as it did for Claude, Gemini and Grok.
Security & misuse · Safety & alignment
ETH Zurich launches MathArena live math-competition benchmark
Scoring 30 models on 149 problems from five 2025 competitions, the paper found strong signs older AIME questions were already contaminated and top models scoring below 25% on proof-writing.
Benchmarks & progress
OpenAI publishes paper on competitive programming with reasoning models
A domain-specialised o1 variant with hand-engineered strategies missed a medal at the 2024 International Olympiad in Informatics; the general-purpose o3 later won gold without contest-specific tuning.
Benchmarks & progress · Models & capabilities
OpenAI announces o3 and opens early access for safety testing
Reported scores included 96.7% on the AIME maths exam and a Codeforces rating in the 99.2nd percentile; OpenAI cited o1's link between reasoning and deception as a reason to delay release.
Models & capabilities · Benchmarks & progress
OpenAI ships o1 model with new developer tools
The full o1 reasoning model reached the API alongside function calling, structured outputs and vision support for developers.
Models & capabilities
Tencent open-sources Hunyuan-Large MoE model
Tencent said the 389B-parameter, 52B-active MoE model beat Llama 3.1 405B on MMLU and MATH despite far fewer active parameters, and released a technical report alongside the weights.
Open weights & ecosystem · Models & capabilities
Alibaba releases Qwen2.5 model family
Alibaba's release spanned seven sizes from 0.5B to 72B parameters, plus dedicated coding and maths variants, trained on 18 trillion tokens.
Open weights & ecosystem · Models & capabilities
xAI releases Grok-2
The beta release added image generation via Black Forest Labs' FLUX.1 and, within days, took second place on the LMSYS Chatbot Arena leaderboard behind GPT-4o.
Models & capabilities
DeepSeek publishes DeepSeekMath, introducing GRPO
The 7B model reached 51.7% on the MATH benchmark without external tools, and its GRPO training method later underpinned DeepSeek-R1's reasoning training.
Ideas & essays · Models & capabilities
'Let's Verify Step by Step' introduces process supervision for reasoning
Rewarding each correct step of a solution, not just the final answer, produced a model that solved 78% of a representative subset of the MATH benchmark.
Ideas & essays
"Let's think step by step" elicits zero-shot reasoning
A single prompt phrase, with no worked examples, lifted GSM8K accuracy from 10.4% to 40.7% — chain-of-thought without the exemplars.
Ideas & essays · Benchmarks & progress
Google announces PaLM at 540 billion parameters
Trained on the Pathways system across two TPU v4 pods, it posted large gains on reasoning benchmarks and explained its own jokes.
Models & capabilities · Compute & infrastructure
Chain-of-thought prompting is described
Asking a model to show its working improved reasoning benchmarks sharply, with no retraining — the seed of the later reasoning models.
Ideas & essays · Benchmarks & progress