Cost Calculator

How much does math reasoning cost?

Compare 14 AI models for math reasoning. Prices shown at 10K calls/month with default token counts.

Reasoning tasks require multi-step logic, analysis, or detailed problem solving by the model. Output tokens tend to be high because the model produces intermediate steps. The final answer follows a chain of reasoning that increases the output length.

What drives math reasoning cost

Short problems, long solutions. Input is trivial and output is large because the derivation is the answer, so output rate is effectively the only price that matters. Models differ sharply in how much they show their working, which means two models at the same output rate can differ substantially in real cost per problem.

Recommendations

Top picks for math reasoning

Best quality

Claude Opus 4.8

97/100 confidence

Best value

Claude Sonnet 5

90/100 confidence · $140/mo

Budget pick

GPT 5.6 Luna

63/100 confidence · $16/mo

Frequently asked questions

How much does math reasoning cost per API call?

Short problems, long solutions. Input is trivial and output is large because the derivation is the answer, so output rate is effectively the only price that matters. Models differ sharply in how much they show their working, which means two models at the same output rate can differ substantially in real cost per problem. Across the 14 models we track, a typical call uses about 1,500 input and 3,000 output tokens.

What is the cheapest model for math reasoning?

GPT 5.6 Luna from GPT is the lowest-cost model we track for math reasoning, at roughly $16.00 for 10,000 calls per month. It scores 63 out of 100 on this task type.

Which model is best for math reasoning?

Claude Opus 4.8 from Claude ranks highest for math reasoning, scoring 97 out of 100. Confidence scores are a third-party benchmark snapshot from week 29 of 2026. This snapshot is 8 weeks old, so treat the scores as directional and validate against your own evals.

See your real math reasoning costs

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