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Claude Opus 5.5 · Math

Claude Opus 5.5 for math: our test runs

Claude Opus 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.

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Based on 5 of our test runs on , through OpenRouter with the app's own prompt and settings.

Short answer

In our test runs on September 27, 2026, Claude Opus 5.5 passed 5 of 5 of our math prompts (both hard ones): tied 1st of 15 models. Each reply counted as 1 message on Pro, where it has 62 a month, and cost $0.0060 to run on average.

Prompt by prompt

Each of the 5 math prompts, and how Claude Opus 5.5's reply did.

Claude Opus 5.5 on each math prompt
PromptResultCostTime
A discount, then sales taxEverydayPassed: Final answer 66: right.$0.00372.7 s
Pens at 3 for $4EverydayPassed: Final answer 3 packs of 3 plus 1 single pen, costing 13.50: right.$0.00845.3 s
Compound interest over three yearsEverydayPassed: Final answer 315.25: right.$0.00433.7 s
Four-digit numbers whose digits sum to 9HardPassed: Final answer 165: right.$0.00774.7 s
The highest of three dice is a 5HardPassed: Final answer 61/216: right.$0.00573.9 s

Every math reply from Claude Opus 5.5

  1. 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 the discounted price is $80 − $20 = $60.

Tax: 10% of $60 = $6, so the total is $60 + $6 = $66.

Final answer: $66

    543 tokens in, 74 out · 2.7 s · $0.0037 · 1 message on Pro · answered by anthropic/claude-opus-5.5 via Claude Platform on AWS ·

  2. Pens at 3 for $4

    An everyday prompt: “Pens at 3 for $4”, in full.

    Passed: Final answer 3 packs of 3 plus 1 single pen, costing 13.50: right.

    Each pen costs about $1.33 in a pack of 3 ($4 ÷ 3) and $1.50 on its own. So use as many packs as possible.

For exactly 10 pens:
- 3 packs + 1 single = $12 + $1.50 = **$13.50**
- 2 packs + 4 singles = $8 + $6 = $14.00
- 1 pack + 7 singles = $4 + $10.50 = $14.50
- 10 singles = $15.00

Final answer: 3 packs of 3 plus 1 single pen, costing $13.50

    547 tokens in, 311 out (122 of them reasoning) · 5.3 s · $0.0084 · 1 message on Pro · answered by anthropic/claude-opus-5.5 via Claude Platform on AWS ·

  3. Compound interest over three years

    An everyday prompt: “Compound interest over three years”, in full.

    Passed: Final answer 315.25: right.

    **Working:**

Amount after 3 years = 2000 × (1.05)³ = 2000 × 1.157625 = $2,315.25

Interest earned = 2,315.25 − 2,000 = $315.25

Final answer: $315.25

    541 tokens in, 108 out (25 of them reasoning) · 3.7 s · $0.0043 · 1 message on Pro · answered by anthropic/claude-opus-5.5 via Claude Platform on AWS ·

  4. 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 number have digits $a, b, c, d$ with $a \ge 1$ and $a + b + c + d = 9$.

Substitute $a' = a - 1 \ge 0$. Then $a' + b + c + d = 8$, where all variables are non-negative.

By stars and bars, the number of solutions is $\binom{8+3}{3} = \binom{11}{3} = 165$.

No digit can exceed 9, because the largest possible value is $a = 9$ (when $a' = 8$). So every solution gives a valid four-digit number.

Final answer: 165

    512 tokens in, 282 out (91 of them reasoning) · 4.7 s · $0.0077 · 1 message on Pro · answered by anthropic/claude-opus-5.5 via Claude Platform on AWS ·

  5. 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) = P(all ≤ 5) − P(all ≤ 4)

- P(all ≤ 5) = (5/6)³ = 125/216
- P(all ≤ 4) = (4/6)³ = 64/216

So P(max = 5) = (125 − 64)/216 = 61/216.

61 is prime and doesn't divide 216, so this is already in lowest terms.

Final answer: 61/216

    539 tokens in, 178 out (34 of them reasoning) · 3.9 s · $0.0057 · 1 message on Pro · answered by anthropic/claude-opus-5.5 via Claude Platform on AWS ·

How it compares on math

Claude Opus 5.5 beside the job's picks among every model. 14 models share the hard-problems pick, Claude Opus 5.5 among them.

Claude Opus 5.5 beside other models on math
ModelPassedOn ProCost per reply
GLM 5.3Our pick: hard problems (shared), best value5 of 5250 a month on Pro$0.0004
GLM 5.3 FlashOur pick: hard problems (shared), everyday5 of 560 a day on Pro$0.0002
Claude Opus 5.5Our pick: hard problems (shared)5 of 562 a month on Pro$0.0060
On Pro: Pro's count on each model. Cost: what OpenRouter charged us per reply, on average.

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.

How these runs were done

Final answer. Automatic. The reply's last “Final answer:” line must hold the right value.

How the runs were done, and every math prompt.

Claude Opus 5.5, and math, elsewhere

Questions

Is Claude Opus 5.5 good for math?

In our test runs it passed 5 of 5 math prompts, tied 1st of the 15 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 Opus 5.5 use?

1 message each on Pro, where it has 62 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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