Best LLMs For Math: Overview & Costs

<div class="prose max-w-none"><p class="text-lg text-gray-700 mt-6 leading-relaxed">Mathematics can be challenging enough without having to worry about which AI model to use. After diving deep into the data and comparing various LLMs, I've put together this guide to help you choose the right model for your mathematical needs. While I haven't personally tested all these models, I've analyzed their specifications and pricing to give you a comprehensive overview.</p><h2 class="text-3xl font-bold text-gray-800 mt-8 mb-6">What are the best LLMs for Math?</h2><p class="text-lg text-gray-700 mb-6 leading-relaxed">When it comes to mathematical computations and reasoning, not all LLMs are created equal. Some excel at complex proofs, while others are better suited for quick calculations. Here's a breakdown of the top contenders:</p><div class="overflow-x-auto rounded-lg border border-gray-200 mb-8"><table class="w-full divide-y divide-gray-200"><thead class="bg-gray-50"><tr><th class="px-6 py-3 text-left text-xs font-medium text-gray-500 uppercase tracking-wider">Model Name</th><th class="px-6 py-3 text-left text-xs font-medium text-gray-500 uppercase tracking-wider">Provider</th><th class="px-6 py-3 text-left text-xs font-medium text-gray-500 uppercase tracking-wider">Context Window</th><th class="px-6 py-3 text-left text-xs font-medium text-gray-500 uppercase tracking-wider">Price (Input/Output)</th><th class="px-6 py-3 text-left text-xs font-medium text-gray-500 uppercase tracking-wider">Best For</th></tr></thead><tbody class="bg-white divide-y divide-gray-200"><tr><td class="px-6 py-4 whitespace-nowrap text-sm font-medium text-gray-900">Claude-3-opus</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">Anthropic</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">200K tokens</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">$15/$75 per 1M tokens</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">Complex mathematical research</td></tr><tr><td class="px-6 py-4 whitespace-nowrap text-sm font-medium text-gray-900">Gemini-1.5-pro-preview</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">Google</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">1M tokens</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">$0.08/$0.31 per 1M tokens</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">Large-scale math processing</td></tr><tr><td class="px-6 py-4 whitespace-nowrap text-sm font-medium text-gray-900">O1-mini</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">OpenAI</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">128K tokens</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">$3/$12 per 1M tokens</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">General mathematical tasks</td></tr><tr><td class="px-6 py-4 whitespace-nowrap text-sm font-medium text-gray-900">Mistral-large-latest</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">Mistral</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">128K tokens</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">$3/$9 per 1M tokens</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">Balanced performance</td></tr><tr><td class="px-6 py-4 whitespace-nowrap text-sm font-medium text-gray-900">Llama-3.2-11b-instruct</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">Meta AI</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">128K tokens</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">$0.35/$0.35 per 1M tokens</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">Budget-friendly math tasks</td></tr></tbody></table></div><div class="space-y-12"><div class="flex items-center gap-4 mb-4"><img src="/images/blog/anthropic-logo.png" alt="Anthropic Logo" class="h-12 w-auto object-contain" /><h3 class="text-2xl font-bold text-gray-800">Anthropic - Claude-3-opus</h3></div><div class="text-lg text-gray-700 leading-relaxed">Think of Claude-3-opus as the mathematics professor of LLMs. While it's the priciest option, it's like having a mathematical genius at your disposal. The model excels at understanding complex mathematical concepts and can handle everything from basic arithmetic to advanced theoretical mathematics.</div><div class="overflow-x-auto rounded-lg border border-gray-200 mb-8"><table class="w-full divide-y divide-gray-200"><tbody class="bg-white divide-y divide-gray-200"><tr><td class="px-6 py-4 whitespace-nowrap text-sm font-medium text-gray-900">Context Window</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">200K tokens</td></tr><tr><td class="px-6 py-4 whitespace-nowrap text-sm font-medium text-gray-900">Pricing</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">$15/$75 per 1M tokens</td></tr><tr><td class="px-6 py-4 whitespace-nowrap text-sm font-medium text-gray-900">Best Use Case</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">Advanced mathematical research and complex proofs</td></tr></tbody></table></div><div class="flex items-center gap-4 mb-4"><img src="/images/blog/google-gemini-logo.png" alt="Google Gemini Logo" class="h-12 w-auto object-contain" /><h3 class="text-2xl font-bold text-gray-800">Google - Gemini-1.5-pro-preview</h3></div><div class="text-lg text-gray-700 leading-relaxed">Gemini-1.5-pro-preview is like having a math library in your pocket. With its massive 1M token context window, you can process entire mathematical datasets at once. The best part? It's surprisingly affordable for its capabilities.</div><div class="overflow-x-auto rounded-lg border border-gray-200 mb-8"><table class="w-full divide-y divide-gray-200"><tbody class="bg-white divide-y divide-gray-200"><tr><td class="px-6 py-4 whitespace-nowrap text-sm font-medium text-gray-900">Context Window</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">1M tokens</td></tr><tr><td class="px-6 py-4 whitespace-nowrap text-sm font-medium text-gray-900">Pricing</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">$0.08/$0.31 per 1M tokens</td></tr><tr><td class="px-6 py-4 whitespace-nowrap text-sm font-medium text-gray-900">Best Use Case</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">Large-scale mathematical processing</td></tr></tbody></table></div><div class="flex items-center gap-4 mb-4"><img src="/images/blog/open-ai-logo.png" alt="OpenAI Logo" class="h-12 w-auto object-contain" /><h3 class="text-2xl font-bold text-gray-800">OpenAI - O1-mini</h3></div><div class="text-lg text-gray-700 leading-relaxed">O1-mini strikes a nice balance between power and price. It's like having a skilled mathematics tutor who's always available. While not as extensive as Claude-3-opus, it handles most mathematical tasks with impressive accuracy.</div><div class="overflow-x-auto rounded-lg border border-gray-200 mb-8"><table class="w-full divide-y divide-gray-200"><tbody class="bg-white divide-y divide-gray-200"><tr><td class="px-6 py-4 whitespace-nowrap text-sm font-medium text-gray-900">Context Window</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">128K tokens</td></tr><tr><td class="px-6 py-4 whitespace-nowrap text-sm font-medium text-gray-900">Pricing</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">$3/$12 per 1M tokens</td></tr><tr><td class="px-6 py-4 whitespace-nowrap text-sm font-medium text-gray-900">Best Use Case</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">General mathematical applications</td></tr></tbody></table></div><div class="flex items-center gap-4 mb-4"><img src="/images/blog/mistral-logo.png" alt="Mistral Logo" class="h-12 w-auto object-contain" /><h3 class="text-2xl font-bold text-gray-800">Mistral - Mistral-large-latest</h3></div><div class="text-lg text-gray-700 leading-relaxed">Mistral-large-latest is the dark horse in the race. Built on solid open-source foundations, it offers reliable mathematical capabilities without breaking the bank. Think of it as your dependable math buddy who's always there to help.</div><div class="overflow-x-auto rounded-lg border border-gray-200 mb-8"><table class="w-full divide-y divide-gray-200"><tbody class="bg-white divide-y divide-gray-200"><tr><td class="px-6 py-4 whitespace-nowrap text-sm font-medium text-gray-900">Context Window</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">128K tokens</td></tr><tr><td class="px-6 py-4 whitespace-nowrap text-sm font-medium text-gray-900">Pricing</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">$3/$9 per 1M tokens</td></tr><tr><td class="px-6 py-4 whitespace-nowrap text-sm font-medium text-gray-900">Best Use Case</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">Balanced performance for various math tasks</td></tr></tbody></table></div><div class="flex items-center gap-4 mb-4"><img src="/images/blog/meta-ai-logo.png" alt="Meta AI Logo" class="h-12 w-auto object-contain" /><h3 class="text-2xl font-bold text-gray-800">Meta AI - Llama-3.2-11b-instruct</h3></div><div class="text-lg text-gray-700 leading-relaxed">If you're budget-conscious but still need solid mathematical capabilities, Llama-3.2-11b-instruct is your go-to option. It's like having a capable math assistant who works for a very reasonable rate.</div><div class="overflow-x-auto rounded-lg border border-gray-200 mb-8"><table class="w-full divide-y divide-gray-200"><tbody class="bg-white divide-y divide-gray-200"><tr><td class="px-6 py-4 whitespace-nowrap text-sm font-medium text-gray-900">Context Window</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">128K tokens</td></tr><tr><td class="px-6 py-4 whitespace-nowrap text-sm font-medium text-gray-900">Pricing</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">$0.35/$0.35 per 1M tokens</td></tr><tr><td class="px-6 py-4 whitespace-nowrap text-sm font-medium text-gray-900">Best Use Case</td><td class="px-6 py-4 whitespace-nowrap text-sm text-gray-500">Cost-effective mathematical processing</td></tr></tbody></table></div><hr class="my-12 border-t border-gray-200" /><div class="text-lg text-gray-700 leading-relaxed">Choosing the right LLM for mathematical tasks doesn't have to be complicated. If budget isn't a concern and you need the absolute best, go with Claude-3-opus. For the best value proposition, Gemini-1.5-pro-preview is hard to beat. And if you're looking for something in between, the other options offer various sweet spots of capability and cost.</div><div class="text-lg text-gray-700 leading-relaxed mt-6">Remember, the "best" LLM really depends on your specific needs. Consider factors like the complexity of your mathematical tasks, your budget, and how much context window you really need. Happy calculating!</div></div></div>