Guide
Best AI Model for Math & Reasoning
Mathematical proofs, logic puzzles, scientific reasoning, and complex problem-solving. Find the sharpest reasoning models.
Top Recommended Models
1
Claude Opus 4.6
Anthropic · frontier
96/100
Reasoning9.5/10
Factuality9.5/10
Coding10/10
Structured Output9.5/10
$5/1M in$25/1M out1000K context
Highest SWE-bench Verified score of any model — unmatched at real-world codingIndustry-leading instruction following and format adherenceThe most expensive frontier model at $5/$25 per million tokens
2
GPT-5.4
OpenAI · frontier
95/100
Reasoning9.5/10
Factuality9.5/10
Coding9.5/10
Structured Output9.5/10
$2.5/1M in$15/1M out1000K context
Long-document reasoning over 500K+ token contexts with high recallExtremely narrow math/logic tasks where o3 reasoning chains outperform
3
o3
OpenAI · specialized
93/100
Reasoning10/10
Factuality9.5/10
Coding9/10
Structured Output7.5/10
$1/1M in$4/1M out200K context
Competition-level math (AIME, AMC, Putnam-style problems)Formal logic, theorem proving, and abstract reasoningVery slow — 10 to 90 seconds for complex queries
4
Claude Sonnet 4.6
Anthropic · frontier
92/100
Reasoning9/10
Factuality9/10
Coding9.5/10
Structured Output9.5/10
$3/1M in$15/1M out1000K context
Coding quality is within ~3-5% of Opus 4.6 on SWE-bench at 40% of the costFaster inference than Opus while maintaining strong qualityGap vs Opus is visible on the hardest SWE-bench problems and complex refactors
5
Gemini 3.1 Pro
Google · frontier
92/100
Reasoning9.5/10
Factuality9/10
Coding9/10
Structured Output9/10
$2/1M in$12/1M out1049K context
Frontier-quality reasoning at a lower price than GPT-5.4 or Claude OpusPreview model — API may change, behavior may shift between versions
Pricing Comparison
| Model | Input $/1M | Output $/1M | Context | Score |
|---|---|---|---|---|
| Claude Opus 4.6 | $5 | $25 | 1000K | 96 |
| GPT-5.4 | $2.5 | $15 | 1000K | 95 |
| o3 | $1 | $4 | 200K | 93 |
| Claude Sonnet 4.6 | $3 | $15 | 1000K | 92 |
| Gemini 3.1 Pro | $2 | $12 | 1049K | 92 |
Frequently Asked Questions
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