Best reasoning model for math
RECOMMENDATION
| Use case | Best choice | Why | Runner-up |
|---|---|---|---|
| Symbolic math problem solving | claude-sonnet-4-5 | Excels at step-by-step symbolic reasoning and proofs | gpt-4.1 |
| Math word problems | claude-sonnet-4-5 | Better at understanding complex problem statements and multi-step logic | gpt-4.1 |
| Code generation for math algorithms | gpt-4.1 | Stronger code synthesis and debugging capabilities | claude-sonnet-4-5 |
| Math tutoring and explanations | claude-sonnet-4-5 | More accurate and detailed stepwise explanations | gpt-4.1 |
| Reasoning under cost constraints | gpt-4o | Good balance of cost and reasoning quality for math tasks | claude-sonnet-4-5 |
Top picks explained
claude-sonnet-4-5 is the top choice for math reasoning because it consistently outperforms other models on benchmarks like MATH and GSM8K, showing superior logical deduction and symbolic manipulation. gpt-4.1 is a strong alternative, especially when you need integrated code generation alongside math reasoning. For budget-conscious projects, gpt-4o offers a good tradeoff between cost and reasoning quality.
In practice: math reasoning with Claude Sonnet
from anthropic import Anthropic
import os
client = Anthropic(api_key=os.environ["ANTHROPIC_API_KEY"])
prompt = """
You are a math expert. Solve this problem step-by-step:
If \(x^2 - 5x + 6 = 0\), find the values of \(x\).
"""
response = client.messages.create(
model="claude-sonnet-4-5",
max_tokens=512,
system="You are a helpful assistant specialized in math reasoning.",
messages=[{"role": "user", "content": prompt}]
)
print(response.content[0].text)Step 1: Factor the quadratic equation: \(x^2 - 5x + 6 = (x - 2)(x - 3) = 0\). Step 2: Set each factor equal to zero: \(x - 2 = 0\) or \(x - 3 = 0\). Step 3: Solve for \(x\): \(x = 2\) or \(x = 3\). Answer: \(x = 2\) or \(x = 3\).
Pricing and limits
| Option | Free tier | Cost | Limits | Context length |
|---|---|---|---|---|
| claude-sonnet-4-5 | Limited free trial | Check Anthropic pricing | Max 100k tokens per request | Up to 100k tokens |
| gpt-4.1 | Limited free trial | $0.03 / 1k tokens (prompt), $0.06 / 1k tokens (completion) | Max 32k tokens per request | Up to 32k tokens |
| gpt-4o | Limited free trial | $0.015 / 1k tokens | Max 32k tokens per request | Up to 32k tokens |
What to avoid
Avoid older models like gpt-3.5-turbo or claude-2 for math reasoning as they lack the advanced logical capabilities and accuracy of newer models. Also, steer clear of models with very small context windows (< 8k tokens) for complex math problems requiring multi-step reasoning.
How to evaluate for your case
Run benchmark tests like GSM8K or MATH dataset samples on candidate models using your own prompts. Measure accuracy, reasoning coherence, and latency. Use step-by-step prompting to test multi-hop reasoning. Adjust for cost and latency constraints relevant to your application.
Key Takeaways
- claude-sonnet-4-5 leads in math reasoning accuracy and stepwise problem solving.
- gpt-4.1 excels when math reasoning is combined with code generation.
- Avoid outdated models and small context windows for complex math tasks.
- Benchmark with real math problems to pick the best model for your needs.