Claude Sonnet 5.5 · Math
Claude Sonnet 5.5 for math: our test runs
Claude Sonnet 5.5 ran our 5 math prompts in llmwise, through the same pipeline your messages take. Here's every reply as it came, whether it passed, what it cost and what it counts as on Pro, next to the other models.
Based on 5 of our test runs on , through OpenRouter with the app's own prompt and settings. Updated .
Short answer
In our test runs on September 28, 2026, Claude Sonnet 5.5 passed 5 of 5 of our math prompts (both hard ones): tied 1st of 16 models. Each reply counted as 1 message on Pro, where it has 125 a month, and cost $0.0025 to run on average.
Prompt by prompt
Each of the 5 math prompts, and how Claude Sonnet 5.5's reply did.
| Prompt | Result | Cost | Time |
|---|---|---|---|
| A discount, then sales taxEveryday | Passed: Final answer 66: right. | $0.0017 | 1.6 s |
| Pens at 3 for $4Everyday | Passed: Final answer Buy 3 packs of 3 and 1 single pen, for 13.50: right. | $0.0036 | 2.2 s |
| Compound interest over three yearsEveryday | Passed: Final answer 315.25: right. | $0.0021 | 1.3 s |
| Four-digit numbers whose digits sum to 9Hard | Passed: Final answer 165: right. | $0.0026 | 1.8 s |
| The highest of three dice is a 5Hard | Passed: Final answer 61/216: right. | $0.0022 | 1.7 s |
Every math reply from Claude Sonnet 5.5
A discount, then sales tax
An everyday prompt: “A discount, then sales tax”, in full.
Passed: Final answer 66: right.
- Discount: 25% of $80 = $20, so discounted price = $60 - Tax: 10% of $60 = $6 - Total: $60 + $6 = $66 Final answer: $66
545 tokens in, 65 out · 1.6 s · $0.0017 · 1 message on Pro · answered by anthropic/claude-sonnet-5.5 via Anthropic ·
Pens at 3 for $4
An everyday prompt: “Pens at 3 for $4”, in full.
Passed: Final answer Buy 3 packs of 3 and 1 single pen, for 13.50: right.
Per-pen cost: a 3-pack costs $4 ÷ 3 ≈ $1.33 per pen, while a single costs $1.50. So the packs are cheaper and should be used as much as possible. Options for exactly 10 pens: - 3 packs (9 pens) + 1 single: 3 × $4 + $1.50 = $13.50 - 2 packs (6 pens) + 4 singles: $8 + $6 = $14.00 - 1 pack + 7 singles: $4 + $10.50 = $14.50 - 0 packs + 10 singles: $15.00 The cheapest is 3 packs plus 1 single pen. Final answer: Buy 3 packs of 3 and 1 single pen, for $13.50
549 tokens in, 250 out · 2.2 s · $0.0036 · 1 message on Pro · answered by anthropic/claude-sonnet-5.5 via Anthropic ·
Compound interest over three years
An everyday prompt: “Compound interest over three years”, in full.
Passed: Final answer 315.25: right.
Compound interest: A = P(1 + r)^t - A = 2000 × (1.05)^3 - 1.05^3 = 1.157625 - A = 2000 × 1.157625 = 2,315.25 - Interest = 2,315.25 − 2,000 = 315.25 Final answer: $315.25
543 tokens in, 106 out · 1.3 s · $0.0021 · 1 message on Pro · answered by anthropic/claude-sonnet-5.5 via Anthropic ·
Four-digit numbers whose digits sum to 9
A hard prompt: “Four-digit numbers whose digits sum to 9”, in full.
Passed: Final answer 165: right.
Let the digits be a, b, c, d with a ≥ 1 and a + b + c + d = 9. Substitute a' = a − 1 ≥ 0, so a' + b + c + d = 8 with all variables ≥ 0. (Digits can't exceed 9, and since the sum is 8 or 9, no digit exceeds 9 anyway.) Number of non-negative solutions: C(8+3, 3) = C(11, 3) = 165. Final answer: 165
514 tokens in, 161 out · 1.8 s · $0.0026 · 1 message on Pro · answered by anthropic/claude-sonnet-5.5 via Anthropic ·
The highest of three dice is a 5
A hard prompt: “The highest of three dice is a 5”, in full.
Passed: Final answer 61/216: right.
P(max ≤ 5) = (5/6)³ = 125/216 P(max ≤ 4) = (4/6)³ = 64/216 P(max = 5) = 125/216 − 64/216 = 61/216 61 is prime and doesn't divide 216, so the fraction is already in lowest terms. Final answer: 61/216
541 tokens in, 114 out · 1.7 s · $0.0022 · 1 message on Pro · answered by anthropic/claude-sonnet-5.5 via Anthropic ·
How it compares on math
Claude Sonnet 5.5 beside the job's picks among every model. 15 models share the hard-problems pick, Claude Sonnet 5.5 among them.
| Model | Passed | On Pro | Cost per reply |
|---|---|---|---|
| GLM 5.3Our pick: hard problems (shared), best value | 5 of 5 | 250 a month on Pro | $0.0004 |
| GLM 5.3 FlashOur pick: hard problems (shared), everyday | 5 of 5 | 60 a day on Pro | $0.0002 |
| Claude Sonnet 5.5Our pick: hard problems (shared) | 5 of 5 | 125 a month on Pro | $0.0025 |
Every limit is published. Paid plans also have a monthly fair-use limit on AI cost: Pro $7.50, Max $20, Ultra $42, Studio $85. Using every message on your plan at typical sizes stays under it; very large messages and heavy research use it faster. Every limit, explained.
Claude Sonnet 5.5 next to each model on math
Claude Sonnet 5.5 against each model on the same 5 math prompts. One run each, through OpenRouter: a wait depends on the provider and the load that day, so a lead under 10% counts as close.
Against Claude Fable 5.1: Claude Sonnet 5.5 answered 2.8× sooner (1.7 s to 4.6 s), cost 4.7× less, and passed 5 of 5 to its 5.
Against Claude Opus 5.5: Claude Sonnet 5.5 answered 2.4× sooner (1.7 s to 3.9 s), cost 2.4× less, and passed 5 of 5 to its 5.
Against Claude Sonnet 5: Claude Sonnet 5.5 answered 2.4× sooner (1.7 s to 3.9 s), cost 1.3× less, and passed 5 of 5 to its 5.
Against Claude Haiku 4.5: Claude Sonnet 5.5 answered 1.3× sooner (1.7 s to 2.2 s), cost 1.6× more, and passed 5 of 5 to its 5.
Against GPT-6 Astra: Claude Sonnet 5.5 answered 1.6× sooner (1.7 s to 2.6 s), cost 3.5× less, and passed 5 of 5 to its 5.
Against GPT-6 Sol: Claude Sonnet 5.5 answered 1.3× sooner (1.7 s to 2.2 s), cost 1.4× more, and passed 5 of 5 to its 5.
Against GPT-6 Luna: Claude Sonnet 5.5 answered 1.3× sooner (1.7 s to 2.2 s), cost 25.1× more, and passed 5 of 5 to its 4. Only Claude Sonnet 5.5 passed Pens at 3 for $4.
Against Gemini 3.1 Pro (preview): Claude Sonnet 5.5 answered 5.0× sooner (1.7 s to 8.3 s), cost 4.1× less, and passed 5 of 5 to its 5.
Against Gemini 3.8 Flash: Claude Sonnet 5.5 answered 2.8× sooner (1.7 s to 4.7 s), cost 1.7× more, and passed 5 of 5 to its 5.
Against DeepSeek V4.1 Flash: Claude Sonnet 5.5 answered within 10% of its time (1.7 s to 1.7 s), cost 10.6× more, and passed 5 of 5 to its 5.
Against DeepSeek V4 Pro: Claude Sonnet 5.5 answered 1.6× sooner (1.7 s to 2.7 s), cost 3.7× more, and passed 5 of 5 to its 5.
Against Grok 4.7: Claude Sonnet 5.5 answered 5.5× sooner (1.7 s to 9.1 s), cost 2.0× less, and passed 5 of 5 to its 5.
Against Kimi K3: Claude Sonnet 5.5 answered 3.2× sooner (1.7 s to 5.4 s), cost 1.5× less, and passed 5 of 5 to its 5.
Against GLM 5.3: Claude Sonnet 5.5 answered 1.8× later (1.7 s to 0.9 s), cost 7.0× more, and passed 5 of 5 to its 5.
Against GLM 5.3 Flash: Claude Sonnet 5.5 answered 1.6× sooner (1.7 s to 2.7 s), cost 16.4× more, and passed 5 of 5 to its 5.
How these runs were done
Final answer. Automatic. The reply's last “Final answer:” line must hold the right value.
Claude Sonnet 5.5, and math, elsewhere
- Claude Sonnet 5.5: price, limits and messages on every plan
- The best AI for math: our picks among every model
- Claude Sonnet 5.5 for coding: our test runs
- Claude Sonnet 5.5 for writing: our test runs
- Claude Sonnet 5.5 for data analysis: our test runs
- Claude Sonnet 5.5 vs GPT-6 Sol
- Claude Sonnet 5.5 vs Claude Sonnet 5
- Claude Opus 5.5 vs Claude Sonnet 5.5
- Claude Sonnet 5.5 vs Gemini 3.1 Pro (preview)
- Claude Sonnet 5.5 vs Kimi K3
- Analyze a CSV with code: the prompt, and its price
- Our test runs: 50 prompts on every model
Questions
Is Claude Sonnet 5.5 good for math?
In our test runs it passed 5 of 5 math prompts, tied 1st of the 16 models in llmwise. Every reply is on this page, so you can judge them yourself.
How many of my messages does a math reply from Claude Sonnet 5.5 use?
1 message each on Pro, where it has 125 a month on Pro. The price of a message is fixed and shown before you send it, however long the reply.
How were these runs done?
The same way for every model: each prompt sent through llmwise's own pipeline, each reply checked the same way. The methods page has every prompt and how each is scored.
Claude, GPT, Gemini, DeepSeek, Grok, Kimi, and GLM, in one chat.
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