Loading
Complex calculations, logic puzzles, mathematical proofs. Ranked by quality, cost, and real-world performance.
18 models compared · Data powered by Artificial Analysis
Ranked comparison of 18 AI models for math & reasoning tasks. Claude Opus 5 leads on quality (score 61), while DeepSeek V4 Flash provides the most affordable entry point.
Mathematical reasoning is one of the most demanding tasks for AI models. Models with explicit reasoning/chain-of-thought capabilities dramatically outperform standard models on math problems.
For serious mathematical work (proofs, complex calculations, scientific computing), frontier models with reasoning are the clear choice. The quality difference between reasoning and non-reasoning models is stark.
Budget options exist for basic arithmetic and simple algebra, but for anything involving multi-step reasoning, invest in a premium or frontier model.
| # | Model | Tier | Quality | Price (In/Out) | Est. Cost (100/mo) |
|---|---|---|---|---|---|
| 1 | Claude Opus 5 Anthropic | Frontier | 61 | $5.00 / $25.00 | $19.50 |
| 2 | Claude Fable 5 Anthropic | Frontier | 60 | $10.00 / $50.00 | $39.00 |
| 3 | GPT-5.6 Sol OpenAI | Frontier | 59 | $5.00 / $30.00 | $22.50 |
| 4 | Kimi K3 Moonshot AI | Frontier | 57 | $3.00 / $15.00 | $11.70 |
| 5 | Claude Opus 4.8 Anthropic | Frontier | 56 | $5.00 / $25.00 | $19.50 |
| 6 | GPT-5.6 Terra OpenAI | Premium | 55 | $2.00 / $12.00 | $9.00 |
| 7 | GPT-5.5 OpenAI | Premium | 55 | $5.00 / $30.00 | $22.50 |
| 8 | Claude Opus 4.7 Anthropic | Premium | 54 | $5.00 / $25.00 | $19.50 |
| 9 | Grok 4.5 xAI | Premium | 54 | $2.00 / $6.00 | $5.40 |
| 10 | Claude Sonnet 5 Anthropic | Premium | 53 | $2.00 / $10.00 | $7.80 |
| 11 | GPT-5.4 OpenAI | Mid-Range | 51 | $2.50 / $15.00 | $11.25 |
| 12 | GLM-5.2 Z AI | Mid-Range | 51 | $0.50 / $2.00 | $1.65 |
| 13 | Gemini 3.1 Pro Google | Frontier | 47 | $2.50 / $15.00 | $11.25 |
| 14 | DeepSeek V4 Pro DeepSeek | Mid-Range | 44 | $0.43 / $0.87 | $0.91 |
| 15 | Grok 4 xAI | Premium | 43 | $3.00 / $15.00 | $11.70 |
| 16 | Gemini 3 Pro Google | Premium | 40 | $2.00 / $12.00 | $9.00 |
| 17 | DeepSeek V4 Flash DeepSeek | Budget | 40 | $0.14 / $0.28 | $0.29 |
| 18 | DeepSeek R1 (Free) DeepSeek | Free | 27 | Free / Free | Free |