Claude · Flagship · 1M context window

Claude Opus 4.8 pricing for math reasoning

$0.0825 per call at 1,500 input / 3,000 output tokens.

Per call

$0.0825

10K calls/mo

$825

Cache savings

90% off input

Batch savings

50% off all

Calculate your Claude Opus 4.8 costs

Adjust token counts, volume, and discount toggles to model your math reasoning spend. Prices verified daily against provider pricing pages.

Configure your usage

1,500
100100K
3,000
5050K
10,000
1001M

Estimated cost

Monthly cost
$825
10,000 calls/month
Cost per call$0.0825
Daily cost$27
Input rate$5.00/MTok
Output rate$25.00/MTok
Analyze your real spend

Quick start

Call Claude Opus 4.8 with the Anthropic Python SDK:

from anthropic import Anthropic

client = Anthropic()
response = client.messages.create(
    model="claude-opus-4-8",
    max_tokens=3000,
    messages=[{"role": "user", "content": "Your prompt here"}]
)
# Cost: ~$0.0825 per call at standard rates
# Input:  $5.00/MTok
# Output: $25.00/MTok

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.

For Claude Opus 4.8 specifically, that means output tokens cost 5.0x more than input, at $25.00 vs $5.00 per MTok. At this use case’s 1,500/3,000 token split, output accounts for 91% of the $0.0825 per-call cost.

Complete Claude Opus 4.8 pricing breakdown

Standard token rates

Direction$/MTokTokens per call
Input$5.001,500
Output$25.003,000

Prompt caching: 90% off input tokens

Caching drops input cost from $5.00 to $0.50/MTok. For repeated system prompts, that saves $0.006750 per call.

Batch API: 50% off all tokens

Submit requests asynchronously and receive 50% off all token costs. This works best for offline pipelines where latency requirements are flexible.

Monthly cost projections

Monthly volumeCost per callStandard monthlyCached monthlyYou save with caching
10,000 calls$0.0825$825$757.5$67.5
50,000 calls$0.0825$4,125$3,787.5$337.5
100,000 calls$0.0825$8,250$7,575$675
500,000 calls$0.0825$41,250$37,875$3,375
1,000,000 calls$0.0825$82,500$75,750$6,750

Claude Opus 4.8 quality benchmarks for math reasoning

Use Claude Opus 4.8 for math reasoning

Scores 89/100 (rank #10 of 88). Strong pick for production math reasoning workloads.

Top-ranked: GPT 6 Astra (93/100) at $0.1650/call

Performance across all task types

Claude Opus 4.8 scores by task type. Math Reasoning highlighted.

Code Review94Reasoning *89Q&A85Creative Writing81Classification80Extraction73Summarization69Code Generation63
Task typeConfidence scoreRank out of 88
Code Review94/100#2
Reasoning(current page)89/100#10
Q&A85/100#5
Creative Writing81/100#3
Classification80/100#6
Extraction73/100#15
Summarization69/100#14
Code Generation63/100#13

Confidence scores are a third-party benchmark snapshot from week 26 of 2026. This snapshot is 17 weeks old, so treat the scores as directional and validate against your own evals.

Alternative models for math reasoning

21 models score 80+ on math reasoning benchmarks, sorted by input rate. Cheapest: GPT 5.6 Luna (95% less, 86/100 quality).

ModelProviderInput $/MTokOutput $/MTokQualityPer callvs Claude
GPT 5.6 LunaGPT$0.20$1.2086/100$0.00390095% cheaper
Gemini 3.6 FlashGemini$0.75$3.7585/100$0.012485% cheaper
Gemini 3.7 FlashGemini$0.75$3.7588/100$0.012485% cheaper
Gemini 3.8 FlashGemini$0.75$3.7589/100$0.012485% cheaper
Claude Sonnet 5Claude$2.00$10.0089/100$0.033060% cheaper
GPT 5.6 TerraGPT$2.00$12.0091/100$0.039053% cheaper
GPT 6 SolGPT$2.00$10.0089/100$0.033060% cheaper
Gemini 3.1 ProGemini$2.00$12.0084/100$0.039053% cheaper
Grok 4.6Grok$2.00$6.0091/100$0.021075% cheaper
Grok 4.5Grok$2.00$6.0087/100$0.021075% cheaper
GPT 5.4GPT$2.50$15.0088/100$0.048841% cheaper
Claude Sonnet 4.6Claude$3.00$15.0085/100$0.049540% cheaper
Claude Opus 5.5Claude$4.00$20.0092/100$0.066020% cheaper
GPT 5.6 SolGPT$4.00$20.0092/100$0.066020% cheaper
Claude Opus 5Claude$5.00$25.0091/100$0.0825same cost
Claude Opus 4.7Claude$5.00$25.0087/100$0.0825same cost
Claude Opus 4.6Claude$5.00$25.0089/100$0.0825same cost
GPT 5.5GPT$5.00$30.0090/100$0.097518% more
Claude Fable 5.1Claude$10.00$50.0092/100$0.1650100% more
Claude Fable 5Claude$10.00$50.0090/100$0.1650100% more
GPT 6 AstraGPT$10.00$50.0093/100$0.1650100% more

About Claude Opus 4.8

Provider

Claude

Tier

Flagship

Context

1M tokens

Released

Apr 2026

Other models from Claude

ModelTierInput $/MTokOutput $/MTokContext
Claude Sonnet 4.6Mid-tier$3.00$15.001M
Claude Haiku 4.5Fast / Budget$1.00$5.00200K
Claude Sonnet 5Mid-tier$2.00$10.001M
Claude Opus 5Flagship$5.00$25.001M
Claude Fable 5.1Flagship$10.00$50.001M
Claude Fable 5Flagship$10.00$50.001M
Claude Mythos 5.1Flagship$10.00$50.001M
Claude Mythos 5Flagship$10.00$50.001M
Claude Opus 4.7Flagship$5.00$25.001M
Claude Opus 4.6Flagship$5.00$25.001M
Claude Opus 4.5Flagship$5.00$25.00200K
Claude Opus 5.5Flagship$4.00$20.001M
Claude Sonnet 4.5Mid-tier$3.00$15.00200K
Claude Sonnet 5.5Mid-tier$2.00$10.001M
Claude Haiku 5.5Fast / Budget$0.10$0.501M

You can compare Claude Opus 4.8 head-to-head against any other model on our model comparison pages, or track how pricing has changed over time on the pricing history tracker.

Frequently asked questions

How much does Claude Opus 4.8 cost for math reasoning per API call?

A typical math reasoning call using Claude Opus 4.8 costs about $0.0825 per call. This estimate uses 1,500 input tokens and 3,000 output tokens at standard rates. Standard rates are $5.00 per million input tokens and $25.00 per million output tokens.

Is Claude Opus 4.8 the best model for math reasoning?

Claude Opus 4.8 scores 89 out of 100 on math reasoning benchmarks overall. It ranks #10 across all 88 models in our cross-provider registry. The highest-ranked model for this task is GPT 6 Astra from GPT. That model scores 93/100 on this task type. Confidence scores are a third-party benchmark snapshot from week 26 of 2026. This snapshot is 17 weeks old, so treat the scores as directional and validate against your own evals.

What is the cheapest model for math reasoning with good quality?

The most affordable model for math reasoning above 80/100 quality is GPT 5.6 Luna. It comes from GPT at $0.20 per million input tokens. Output costs $1.20 per million tokens with a quality score of 86/100. Switching from Claude Opus 4.8 to GPT 5.6 Luna saves about 95% per API call.

How can I reduce my Claude Opus 4.8 costs for math reasoning?

Three strategies lower Claude Opus 4.8 costs for this task type effectively. Prompt caching gives a 90% discount on input tokens when reusing system prompts. The batch API gives 50% off all tokens for asynchronous processing workloads. Prompt optimization reduces token counts through more concise instructions and context windows. Combining caching with batching brings your cost from $0.0825 to about $0.004125 per call.

How does Claude Opus 4.8 pricing compare to other Claude models?

Claude has 15 other models alongside Claude Opus 4.8 today: Claude Sonnet 4.6 at $3.00/$15.00 per million tokens (mid-tier), Claude Haiku 4.5 at $1.00/$5.00 per million tokens (fast / budget), Claude Sonnet 5 at $2.00/$10.00 per million tokens (mid-tier), Claude Opus 5 at $5.00/$25.00 per million tokens (flagship), Claude Fable 5.1 at $10.00/$50.00 per million tokens (flagship), Claude Fable 5 at $10.00/$50.00 per million tokens (flagship), Claude Mythos 5.1 at $10.00/$50.00 per million tokens (flagship), Claude Mythos 5 at $10.00/$50.00 per million tokens (flagship), Claude Opus 4.7 at $5.00/$25.00 per million tokens (flagship), Claude Opus 4.6 at $5.00/$25.00 per million tokens (flagship), Claude Opus 4.5 at $5.00/$25.00 per million tokens (flagship), Claude Opus 5.5 at $4.00/$20.00 per million tokens (flagship), Claude Sonnet 4.5 at $3.00/$15.00 per million tokens (mid-tier), Claude Sonnet 5.5 at $2.00/$10.00 per million tokens (mid-tier), Claude Haiku 5.5 at $0.10/$0.50 per million tokens (fast / budget). The right choice depends on whether your math reasoning workload prioritizes quality, cost, or speed.

What context window does Claude Opus 4.8 support?

Claude Opus 4.8 supports a context window of 1M tokens per API call. This sets the maximum combined length of your input prompt and generated response. For math reasoning, typical calls use 1,500 input and 3,000 output tokens. That is well within this limit, leaving room for longer prompts or multi-turn conversations.

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