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GPT-6.1 Sol · Math

GPT-6.1 Sol for math: our test runs

GPT-6.1 Sol 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 29, 2026, GPT-6.1 Sol passed 5 of 5 of our math prompts (both hard ones): tied 1st of 17 models. Each reply counted as 1 message on Pro, where it has 125 a month, and cost $0.0009 to run on average.

Prompt by prompt

Each of the 5 math prompts, and how GPT-6.1 Sol's reply did.

GPT-6.1 Sol on each math prompt
PromptResultCostTime
A discount, then sales taxEverydayPassed: Final answer 66: right.$0.00061.5 s
Pens at 3 for $4EverydayPassed: Final answer Buy three 3-pen bundles and one single pen for 13.50.: right.$0.00102.4 s
Compound interest over three yearsEverydayPassed: Final answer 315.25: right.$0.00071.7 s
Four-digit numbers whose digits sum to 9HardPassed: Final answer 165: right.$0.00112.7 s
The highest of three dice is a 5HardPassed: Final answer (61/216 ): right.$0.00081.8 s

Every math reply from GPT-6.1 Sol

  1. A discount, then sales tax

    An everyday prompt: “A discount, then sales tax”, in full.

    Passed: Final answer 66: right.

    Discounted price: $80 × 0.75 = $60  
    After sales tax: $60 × 1.10 = $66
    
    Final answer: $66

    402 tokens in, 39 out · 1.5 s · $0.0006 · 1 message on Pro · answered by openai/gpt-6.1-sol via OpenAI ·

  2. Pens at 3 for $4

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

    Passed: Final answer Buy three 3-pen bundles and one single pen for 13.50.: right.

    Three singles cost $4.50, so each 3-for-$4 bundle saves $0.50. Use as many bundles as possible: 3 bundles give 9 pens, then buy 1 single.
    
    Cost: \(3 \times \$4 + \$1.50 = \$13.50\).
    
    Final answer: Buy three 3-pen bundles and one single pen for $13.50.

    404 tokens in, 127 out (38 of them reasoning) · 2.4 s · $0.0010 · 1 message on Pro · answered by openai/gpt-6.1-sol via OpenAI ·

  3. Compound interest over three years

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

    Passed: Final answer 315.25: right.

    After 3 years, the balance is:
    \[
    2000(1.05)^3 = \$2,315.25
    \]
    
    Interest earned:
    \[
    \$2,315.25 - \$2,000 = \$315.25
    \]
    
    Final answer: $315.25

    404 tokens in, 64 out · 1.7 s · $0.0007 · 1 message on Pro · answered by openai/gpt-6.1-sol via OpenAI ·

  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 digits be \(a,b,c,d\), with \(a\ge1\). Set \(x=a-1\). Then
    \[
    x+b+c+d=8,
    \]
    where all four variables are nonnegative. Each resulting digit is automatically at most 9.
    
    By stars and bars, the number of solutions is
    \[
    \binom{8+4-1}{4-1}=\binom{11}{3}=165.
    \]
    
    Final answer: 165

    380 tokens in, 147 out (39 of them reasoning) · 2.7 s · $0.0011 · 1 message on Pro · answered by openai/gpt-6.1-sol via OpenAI ·

  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.

    The highest number is exactly 5 if all three dice show at most 5, but not all show at most 4.
    
    \[
    P(\max=5)=\left(\frac56\right)^3-\left(\frac46\right)^3
    =\frac{125-64}{216}=\frac{61}{216}.
    \]
    
    Final answer: \(\frac{61}{216}\)

    395 tokens in, 87 out · 1.8 s · $0.0008 · 1 message on Pro · answered by openai/gpt-6.1-sol via OpenAI ·

How it compares on math

GPT-6.1 Sol beside the job's picks among every model. 16 models share the hard-problems pick, GPT-6.1 Sol among them.

GPT-6.1 Sol 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
GPT-6.1 SolOur pick: hard problems (shared)5 of 5125 a month on Pro$0.0009
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.

GPT-6.1 Sol next to each model on math

GPT-6.1 Sol 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: GPT-6.1 Sol answered 2.6× sooner (1.8 s to 4.6 s), cost 13.5× less, and passed 5 of 5 to its 5.

  • Against Claude Opus 5.5: GPT-6.1 Sol answered 2.2× sooner (1.8 s to 3.9 s), cost 6.9× less, and passed 5 of 5 to its 5.

  • Against Claude Sonnet 5.5: GPT-6.1 Sol answered within 10% of its time (1.8 s to 1.7 s), cost 2.9× less, and passed 5 of 5 to its 5.

  • Against Claude Sonnet 5: GPT-6.1 Sol answered 2.2× sooner (1.8 s to 3.9 s), cost 3.8× less, and passed 5 of 5 to its 5.

  • Against Claude Haiku 4.5: GPT-6.1 Sol answered 1.3× sooner (1.8 s to 2.2 s), cost 1.8× less, and passed 5 of 5 to its 5.

  • Against GPT-6 Astra: GPT-6.1 Sol answered 1.5× sooner (1.8 s to 2.6 s), cost 9.9× less, and passed 5 of 5 to its 5.

  • Against GPT-6 Sol: GPT-6.1 Sol answered 1.2× sooner (1.8 s to 2.2 s), cost 2.1× less, and passed 5 of 5 to its 5.

  • Against GPT-6 Luna: GPT-6.1 Sol answered 1.2× sooner (1.8 s to 2.2 s), cost 8.8× more, and passed 5 of 5 to its 4. Only GPT-6.1 Sol passed Pens at 3 for $4.

  • Against Gemini 3.1 Pro (preview): GPT-6.1 Sol answered 4.7× sooner (1.8 s to 8.3 s), cost 11.6× less, and passed 5 of 5 to its 5.

  • Against Gemini 3.8 Flash: GPT-6.1 Sol answered 2.7× sooner (1.8 s to 4.7 s), cost 1.7× less, and passed 5 of 5 to its 5.

  • Against DeepSeek V4.1 Flash: GPT-6.1 Sol answered within 10% of its time (1.8 s to 1.7 s), cost 3.7× more, and passed 5 of 5 to its 5.

  • Against DeepSeek V4 Pro: GPT-6.1 Sol answered 1.5× sooner (1.8 s to 2.7 s), cost 1.3× more, and passed 5 of 5 to its 5.

  • Against Grok 4.7: GPT-6.1 Sol answered 5.1× sooner (1.8 s to 9.1 s), cost 5.8× less, and passed 5 of 5 to its 5.

  • Against Kimi K3: GPT-6.1 Sol answered 3.0× sooner (1.8 s to 5.4 s), cost 4.3× less, and passed 5 of 5 to its 5.

  • Against GLM 5.3: GPT-6.1 Sol answered 1.9× later (1.8 s to 0.9 s), cost 2.4× more, and passed 5 of 5 to its 5.

  • Against GLM 5.3 Flash: GPT-6.1 Sol answered 1.5× sooner (1.8 s to 2.7 s), cost 5.7× 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.

How the runs were done, and every math prompt.

GPT-6.1 Sol, and math, elsewhere

Questions

Is GPT-6.1 Sol good for math?

In our test runs it passed 5 of 5 math prompts, tied 1st of the 17 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 GPT-6.1 Sol 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.

See what a message costs before you send it. Free is 5 messages to try; sign in with an email link, no password or card.