Best Math LLMs
January 2026 Rankings
The definitive ranking of AI models for mathematics, logical reasoning, and problem-solving based on AIME 2025, GPQA Diamond, and competition math benchmarks. Rankings are based on AIME 2025, GPQA Diamond, and Humanity's Last Exam benchmarks from independent evaluations.
Historical snapshot
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Quality Index
68
GLM-4.7 (Thinking)
Z AI
Quality Index
55
Gemini 3 Flash (secondary row)
Quality Index
52
DeepSeek V3.2 (low performance row)
DeepSeek
Complete Math Model Rankings
| Rank | Model | Quality | AIME 2025 | GPQA Diamond | HLE | License |
|---|---|---|---|---|---|---|
| 1 | GLM-4.7 (Thinking) Z AI | 68 | 95% | 86% | 25% | Open |
| 2 | Gemini 3 Flash (secondary row) | 55 | 56% | 81% | 14% | Proprietary |
| 3 | DeepSeek V3.2 (low performance row) DeepSeek | 52 | 59% | 75% | 11% | Open |
| 4 | GPT-5.2 (xhigh) OpenAI | 50.5 | 99% | 90% | 31% | Proprietary |
| 5 | Claude Opus 4.5 (Reasoning) Anthropic | 49.69 | - | - | - | Proprietary |
| 6 | GLM-5 (Reasoning) Z AI | 49.64 | - | - | - | Open |
| 7 | Gemini 3 Pro Preview (high) | 47.9 | 96% | 91% | 37% | Proprietary |
| 8 | GPT-5.1 (high) OpenAI | 47 | 94% | 87% | 27% | Proprietary |
Key Insights for January 2026
š§® Reasoning Breakthroughs
- ā¢ AIME 2025 scores now exceed 95% for top modelsānear-human expert level
- ā¢ Extended thinking modes dramatically improve complex problem solving
- ā¢ Multi-step reasoning chains are now handled reliably by top performers
š” Use Case Recommendations
- ā¢ For competition math: GPT-5.2 (xhigh) achieves 99% on AIME 2025
- ā¢ For graduate research: Gemini 3 Pro leads GPQA Diamond at 91%
- ā¢ For cost-effective reasoning: GLM-4.7 Thinking matches top scores at open-source pricing
Math Benchmark Deep Dive
AIME 2025
The American Invitational Mathematics Examinationātests Olympiad-level problem solving.
Top score
GPQA Diamond
Graduate-level science questions written by domain experts.
Top score
Humanity's Last Exam
Cutting-edge questions designed to challenge frontier AI systems.
Top score
What the benchmarks show: While models now solve 95%+ of AIME problems, Humanity's Last Exam scores remain below 40%, indicating significant room for improvement in novel, out-of-distribution reasoning. The best models for math combine high AIME scores with strong GPQA Diamond performance, indicating both competition math skills and deep graduate-level understanding.
Compare Math Models Side-by-Side
Use our interactive comparison tool to explore reasoning benchmarks, pricing, and latency for all 8 math models.
Frequently Asked Questions
What is the best AI for solving math problems?
As of January 2026, GLM-4.7 (Thinking) leads our math benchmarks with exceptional scores on AIME 2025 (95%) and GPQA Diamond (86%). For complex competition math, GPT-5.2 (xhigh) achieves 99% on AIME 2025ānear-perfect performance.
Can AI solve calculus and advanced mathematics?
Yes, modern AI models excel at calculus, linear algebra, differential equations, and even competition-level number theory. The top models score above 90% on graduate-level GPQA Diamond questions covering physics, chemistry, and biology with mathematical components. However, novel research-level problems (like those in Humanity's Last Exam) remain challenging.
Which free AI is best for math homework?
For free/open-source math assistance, GLM-4.7 Thinking and DeepSeek V3.2offer outstanding performance. GLM-4.7 achieves 95% on AIME 2025 and can be self-hosted, while DeepSeek V3.2 offers competitive API pricing at a fraction of proprietary model costs.