Benchmarks · Mathematics

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

  1. 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.
  2. June 2022Minerva 540B (majority voting, k=64)50.3%Google's model, further trained on scientific and mathematical text, roughly matched median human competitors.
  3. 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.
  4. February 2024DeepSeekMath-RL 7B51.7%A 7B open model, without tools, approaching much larger proprietary systems.
  5. 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

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