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Complex calculations, logic puzzles, mathematical proofs. Ranked by quality, cost, and real-world performance.
6 models compared · Data powered by Artificial Analysis
Ranked comparison of 6 AI models for math & reasoning tasks. Claude Opus 4.5 leads on quality (score 72), while DeepSeek R1 (Free) 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 4.5 Anthropic | Frontier | 72 | $15.00 / $75.00 | $58.50 |
| 2 | GPT-5.3 OpenAI | Frontier | 70 | $2.00 / $10.00 | $7.80 |
| 3 | Grok 4 xAI | Premium | 68 | $3.00 / $15.00 | $11.70 |
| 4 | Gemini 3 Pro Google | Premium | 65 | $2.00 / $12.00 | $9.00 |
| 5 | DeepSeek V3.2 DeepSeek | Mid-Range | 55 | $0.25 / $0.38 | $0.45 |
| 6 | DeepSeek R1 (Free) DeepSeek | Free | 50 | Free / Free | Free |