Best AI models for math
Ranked by FrontierMath: original, unpublished problems written by professional mathematicians, from advanced to research level. Competition-style AIME results are shown alongside. Tested independently by Epoch AI.
Our picks
The ranking
Compare the top two| # | Model | FrontierMathi | Overall indexi | Inputi | Outputi | Contexti |
|---|---|---|---|---|---|---|
| 1 | GPT-6 AstraOpenAI | 93.7% | 166.6 | $10 | $50 | 1.1M |
| 2 | Claude Opus 5.5Anthropic | 91.2% | — | $4 | $20 | 1M |
| 3 | Claude Fable 5.1Anthropic | 90.2% | 165.0 | $10 | $50 | 1M |
| 4 | GPT-5.6 SolOpenAI | 89.1% | 162.0 | $2 | $10 | 1.1M |
| 5 | Claude Sonnet 5.5Anthropic | 88.8% | — | $2 | $10 | 1M |
| 6 | GPT-5.5 ProOpenAI | 87.7% | 162.5 | $30 | $180 | 1.1M |
| 7 | Claude Fable 5Anthropic | 87.0% | 163.6 | $10 | $50 | 1M |
| 8 | GPT-5.6 TerraOpenAI | 86.0% | 159.3 | $2 | $12 | 1.1M |
| 9 | Claude Opus 5Anthropic | 85.6% | 162.7 | $5 | $25 | 1M |
| 10 | GPT-5.5OpenAI | 85.3% | 159.3 | $5 | $30 | 1.1M |
per 1M tokens · USD
Quick answers
- Which AI model is best at math?
- GPT-6 Astra from OpenAI leads this ranking (FrontierMath: 93.7%). It costs $10 per million input tokens and $50 per million output tokens.
- Is there a cheaper alternative?
- GPT-5.6 Sol from OpenAI (FrontierMath: 89.1%) costs $2 / $10 per million tokens, about 5.0× less than GPT-6 Astra.
How we rank
Scores come from tests run independently by Epoch AI (CC BY 4.0), not from the companies’ own announcements. Prices come from OpenRouter’s public API. Both are refreshed automatically several times a day, so this ranking follows new releases and price changes.
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