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Prompts · Students

AI prompts for students, tested on four models

11 prompts for students, each run on GPT-6 Luna, Gemini 3.8 Flash, Claude Haiku 4.5, and DeepSeek V4.1 Flash: 44 of 44 replies passed our checks. Below, each prompt with its replies side by side: whether each passed, what it counted as on Pro and what it cost to run. No prompt split the models.

A real reply from these prompts' runs

GPT-6 Luna

Explain how a bill becomes a law in the United States for a 9th grader in under 120 words, then ask me one question to check I understood.

GPT-6 Luna · passed our check · September 28, 2026

A member of Congress introduces a bill. It goes to a committee, where lawmakers study it, make changes, and decide whether to send it forward. The House of Representatives and the Senate must both approve the same version of the bill. Then it goes to the president, who can sign it into law or veto it. Congress can override a veto if at least two-thirds of both the House and Senate vote to do so.

**Check your understanding:** What must the House and Senate do before a bill goes to the president?

GPT-6 Luna needs a paid plan; the 5 free messages on sign-up are on Claude Haiku 5.5.

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Test runs checked . Updated .

Short answer

All 4 models passed 11 of these 11 prompts, in our runs on October 8, 2026. No prompt split the models: every reply passed its check, so these prompts work across all of them.

What these prompts are for

Study prompts that make the model a tutor, not an answer key: explanations at your level with a check question, quizzes one question at a time, flashcards, worked math with a checkable answer, finding your mistake, study plans, Cornell notes, mnemonics, comparisons and gaps in your own explanation.

We ran them on four fast models that cost little to run, and checked the math by its final answer.

The prompts at a glance

Every prompt on every model, as our check scored the reply. Tap a prompt to jump to it and read the replies.

Every prompt on every model: passed or failed
PromptGPT-6 LunaGemini 3.8 FlashClaude Haiku 4.5DeepSeek V4.1 Flash
Explain it at my level, then check mePassedPassedPassedPassed
Quiz me one question at a timePassedPassedPassedPassed
Flashcards in a fixed formatPassedPassedPassedPassed
A word problem, step by stepPassedPassedPassedPassed
Find the first wrong stepPassedPassedPassedPassed
A study plan across three examsPassedPassedPassedPassed
Cornell notes from a passagePassedPassedPassedPassed
A mnemonic that's actually rightPassedPassedPassedPassed
Compare two concepts in a tablePassedPassedPassedPassed
Probability with a checked answerPassedPassedPassedPassed
Find the gaps in my explanationPassedPassedPassedPassed
Passed11 of 1111 of 1111 of 1111 of 11
Each model on these prompts
ModelPassedEach reply on ProCost per replyTime per reply
GPT-6 LunaOpenAI11 of 111 message on Pro$0.00012.3 s
DeepSeek V4.1 FlashDeepSeek11 of 111 message on Pro$0.00062.1 s
Gemini 3.8 FlashGoogle11 of 111 message on Pro$0.00072.5 s
Claude Haiku 4.5Anthropic11 of 111 message on Pro$0.00162.7 s
Passed: of the prompts each model answered, how many replies passed their check. Each reply on Pro: what one of these messages counts as on llmwise's Pro plan. Cost: what OpenRouter charged us per reply, on average; in llmwise you pay per message, not per token.

Where the replies differed most

No prompt here split the models: every reply passed its check. These are the prompts where the grader still rated one model's reply well above another's.

  • Cornell notes from a passage

    Graded highest: DeepSeek V4.1 Flash, 5.0 of 5. Lowest: Claude Haiku 4.5, 4.3 of 5. Both passed.

    The grader on Claude Haiku 4.5's reply: “All three Cornell parts and a two-sentence summary are present and the content matches the passage, but the cue/notes table lacks a markdown separator row, and transpiration appears only in a list with no note explaining it and no mention in the summary.”

The 11 prompts, with every reply

Copy a prompt, replace the parts in [brackets] with your own, and send it to any model. Below each, the replies we got with our example filled in.

1. Explain it at my level, then check me

Everyday · 4 of 4 passed

A check question at the end turns reading into recall, which is what makes it stick.

The prompt: replace the parts in [brackets]

Explain [your topic] for [who] in under 120 words, then ask me one question to check I understood.

Open in llmwise
How we filled it in and checked the replies
Explain how a bill becomes a law in the United States for a 9th grader in under 120 words, then ask me one question to check I understood.
  • Accurate: Introduced, committee, both chambers pass it, the president signs or vetoes, and Congress can override with two-thirds.
  • Right level: Clear for a 9th grader.
  • Check question: Ends with one question that tests understanding.
  • Automatic rules: at most 145 words; ends with a question.
  • GPT-6 Luna

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    A member of Congress introduces a bill. It goes to a committee, where lawmakers study it, make changes, and decide whether to send it forward. The House of Representatives and the Senate must both approve the same version of the bill. Then it goes to the president, who can sign it into law or veto it. Congress can override a veto if at least two-thirds of both the House and Senate vote to do so.
    
    **Check your understanding:** What must the House and Senate do before a bill goes to the president?

    1 message on Pro · under $0.0001 to run · 1.8 s · 109 tokens out

  • Gemini 3.8 Flash

    Passed

    Graded 4.7 of 5 on average (lowest 4).

    Here is how a bill becomes a law:
    
    1. **Idea & Introduction:** A member of Congress (House or Senate) drafts an idea into a bill.
    2. **Committee Review:** A small group of lawmakers researches, edits, and debates the bill. If approved, it moves forward.
    3. **Floor Debate & Vote:** The full chamber debates and votes. If it passes with a majority, it moves to the other chamber to repeat these steps.
    4. **Agreement:** Both chambers must agree on the exact same version of the bill.
    5. **The President:** The bill goes to the president, who can sign it into law or veto (reject) it. Congress can override a veto with a two-thirds vote.
    
    **Quick check:** What happens if the President vetoes a bill?

    1 message on Pro · $0.0005 to run · 1.9 s · 168 tokens out

  • Claude Haiku 4.5

    Passed

    Graded 4.7 of 5 on average (lowest 4).

    # How a Bill Becomes a Law
    
    1. **Introduction**: A bill starts in either the House or Senate.
    
    2. **Committee Review**: It's studied by a committee and debated.
    
    3. **Floor Vote**: The full chamber votes. If it passes, it goes to the other chamber and repeats steps 2-3.
    
    4. **Presidential Action**: The President can:
       - **Sign it** → becomes a law
       - **Veto it** → sent back to Congress
       - **Do nothing** → becomes law automatically after 10 days
    
    5. **Veto Override**: Congress can override a veto with a 2/3 majority vote in both chambers.
    
    ---
    
    **Check your understanding**: If the President vetoes a bill, what can Congress do to make it a law anyway?

    1 message on Pro · $0.0013 to run · 2.7 s · 182 tokens out

  • DeepSeek V4.1 Flash

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    A bill starts as an idea. A member of Congress writes it and introduces it. It goes to a committee, where experts study it and may change it. If the committee approves, the full House or Senate debates and votes. It must pass both chambers. If the two versions differ, a conference committee fixes that. Then the bill goes to the President, who signs it into law or vetoes it. Congress can override a veto with a two-thirds vote in both chambers.
    
    **Question:** What happens if the President vetoes a bill?

    1 message on Pro · $0.0002 to run · 1.1 s · 117 tokens out

2. Quiz me one question at a time

Hard · 4 of 4 passed

One question at a time is active recall; a model that dumps ten questions with answers has done the work for you.

The prompt: replace the parts in [brackets]

Quiz me on [your topic]. Ask one question at a time and wait for my answer before the next. Start now.

Open in llmwise
How we filled it in and checked the replies
Quiz me on the causes of World War I. Ask one question at a time and wait for my answer before the next. Start now.
  • One question: Asks exactly one question.
  • Waits: No answers and no list of further questions.
  • Good question: A fair, clear question on the causes of World War I.
  • Automatic rules: at most 60 words.
  • GPT-6 Luna

    Passed

    Graded 4.7 of 5 on average (lowest 4).

    What was militarism, and how did it contribute to the causes of World War I?

    1 message on Pro · under $0.0001 to run · 1.1 s · 34 tokens out

  • Gemini 3.8 Flash

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    Let's start!
    
    **Question 1:** The acronym **M-A-I-N** is commonly used to describe the four long-term underlying causes of World War I. What do these four letters stand for?

    1 message on Pro · $0.0002 to run · 1.2 s · 47 tokens out

  • Claude Haiku 4.5

    Passed

    Graded 4.7 of 5 on average (lowest 4).

    # World War I Causes Quiz
    
    Here's your first question:
    
    **What was the primary alliance system that divided Europe in the decades leading up to World War I?**
    
    Take your time and give it a try!

    1 message on Pro · $0.0006 to run · 1.1 s · 49 tokens out

  • DeepSeek V4.1 Flash

    Passed

    Graded 4.7 of 5 on average (lowest 4).

    **Question 1:** The assassination of Archduke Franz Ferdinand in Sarajevo on June 28, 1914, is often called the "spark" that ignited World War I. Which nationalist group carried out the assassination, and which country was accused of backing it?

    1 message on Pro · $0.0001 to run · 0.8 s · 83 tokens out

3. Flashcards in a fixed format

Everyday · 4 of 4 passed

A fixed one-line format pastes straight into a flashcard app.

The prompt: replace the parts in [brackets]

Make [how many] flashcards on [your topic], one per line, in the form "Q: … | A: …". Nothing else.

Open in llmwise
How we filled it in and checked the replies
Make 8 flashcards on cell organelles and what they do, one per line, in the form "Q: … | A: …". Nothing else.
  • Format: Exactly 8 lines in the Q | A form.
  • Accurate: Every answer is right.
  • Nothing else: No introduction or closing line.
  • Automatic rules: includes “Q:”; includes “A:”.
  • GPT-6 Luna

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    Q: What is the nucleus? | A: It stores DNA and directs cell activities.
    Q: What do mitochondria do? | A: They produce most of the cell’s usable energy.
    Q: What do ribosomes do? | A: They build proteins.
    Q: What does the endoplasmic reticulum do? | A: It helps make and transport proteins and lipids.
    Q: What does the Golgi apparatus do? | A: It modifies, sorts, and packages proteins and lipids.
    Q: What do lysosomes do? | A: They break down waste and worn-out cell parts.
    Q: What does the cell membrane do? | A: It controls what enters and leaves the cell.
    Q: What do chloroplasts do? | A: They use sunlight to make sugars through photosynthesis.

    1 message on Pro · $0.0001 to run · 1.9 s · 172 tokens out

  • Gemini 3.8 Flash

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    Q: What is the function of the nucleus? | A: It stores the cell's genetic material (DNA) and coordinates cellular activities like growth and reproduction.
    Q: What is the function of the mitochondrion? | A: It generates most of the cell's chemical energy (ATP) through cellular respiration.
    Q: What is the function of the ribosome? | A: It synthesizes proteins by translating messenger RNA.
    Q: What is the function of the Rough Endoplasmic Reticulum (RER)? | A: It assists in producing, folding, and transporting proteins via attached ribosomes.
    Q: What is the function of the Golgi apparatus? | A: It modifies, sorts, and packages proteins and lipids for transport inside or outside the cell.
    Q: What is the function of the lysosome? | A: It contains digestive enzymes that break down waste materials, cellular debris, and foreign invaders.
    Q: What is the function of the chloroplast? | A: It captures light energy to produce glucose through photosynthesis in plant cells.
    Q: What is the function of the vacuole? | A: It stores nutrients, water, and waste products, and maintains turgor pressure in plant cells.

    1 message on Pro · $0.0006 to run · 3.8 s · 250 tokens out

  • Claude Haiku 4.5

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    Q: What does the mitochondrion do? | A: Produces ATP through cellular respiration to provide energy for the cell.
    Q: What is the function of the nucleus? | A: Contains DNA and controls cell activities through gene expression.
    Q: What does the endoplasmic reticulum do? | A: Rough ER synthesizes proteins; smooth ER synthesizes lipids and detoxifies substances.
    Q: What is the Golgi apparatus responsible for? | A: Modifies, packages, and ships proteins and lipids to their destinations.
    Q: What do ribosomes do? | A: Synthesize proteins by translating mRNA into amino acid chains.
    Q: What is the function of lysosomes? | A: Break down and digest waste materials and cellular debris.
    Q: What does the chloroplast do? | A: Performs photosynthesis to convert light energy into chemical energy (glucose).
    Q: What is the function of the cell membrane? | A: Controls what enters and exits the cell through selective permeability.

    1 message on Pro · $0.0016 to run · 2.2 s · 236 tokens out

  • DeepSeek V4.1 Flash

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    Q: What is the function of the nucleus? | A: Stores DNA and controls cell activities like growth and protein synthesis
    Q: What is the function of the mitochondrion? | A: Produces ATP energy through cellular respiration
    Q: What is the function of the ribosome? | A: Builds proteins by translating mRNA into amino acid chains
    Q: What is the function of the rough endoplasmic reticulum? | A: Folds and transports proteins, studded with ribosomes
    Q: What is the function of the smooth endoplasmic reticulum? | A: Makes lipids and detoxifies chemicals, no ribosomes attached
    Q: What is the function of the Golgi apparatus? | A: Modifies, sorts, and packages proteins and lipids for transport
    Q: What is the function of the lysosome? | A: Digests waste, worn-out cell parts, and foreign material using enzymes
    Q: What is the function of the chloroplast? | A: Carries out photosynthesis, converting light energy into glucose

    1 message on Pro · $0.0003 to run · 1.0 s · 214 tokens out

4. A word problem, step by step

Hard · 4 of 4 passed

Steps you can follow let you learn the method; the final line lets you check your own answer against it.

The prompt: replace the parts in [brackets]

[your problem] Show your steps so I can follow them, then end with a line "Final answer: " and the answer alone.

Open in llmwise
How we filled it in and checked the replies
A school trip costs $1,200 for the bus plus $18 per student. There must also be one teacher for every 10 students (or part of 10), and each teacher costs $25. The school has $2,100. What's the largest number of students who can go?
Show your steps so I can follow them, then end with a line "Final answer: " and the answer alone.
  • Checked automatically: the reply's last “Final answer:” line must give 43.
  • GPT-6 Luna

    Passed

    Final answer 43 students: right.

    Let \(n\) be the number of students. The bus costs $1,200, leaving $900 for students and teachers.
    
    For 43 students, the school needs \(\lceil 43/10\rceil=5\) teachers. The remaining cost is:
    \[
    43(18)+5(25)=774+125=899
    \]
    So 43 students fit within the budget.
    
    For 44 students, the school still needs 5 teachers, and the remaining cost would be:
    \[
    44(18)+5(25)=792+125=917
    \]
    That exceeds the $900 available. So 44 or more students cannot go.
    
    Final answer: 43 students

    1 message on Pro · $0.0001 to run · 3.5 s · 259 tokens out

  • Gemini 3.8 Flash

    Passed

    Final answer 43: right.

    Here are the steps to find the largest number of students:
    
    1. **Calculate the money available after paying for the bus:**
       $$\$2,100 - \$1,200 = \$900$$
    
    2. **Set up the cost formula for students and teachers:**
       * Each student costs $\$18$.
       * Each teacher costs $\$25$.
       * The number of teachers needed is $\lceil \frac{\text{students}}{10} \rceil$ (rounded up to the nearest whole number).
       * Total cost for students and teachers: 
         $$18s + 25 \times \lceil s / 10 \rceil \le 900$$
    
    3. **Estimate the number of groups of 10 students:**
       * A full group of 10 students requires 1 teacher.
       * Cost per group of 10: $(10 \times \$18) + (1 \times \$25) = \$180 + \$25 = \$205$.
       * Number of full groups possible: $\$900 \div \$205 \approx 4.39$, so at least 4 full groups (40 students) can attend.
    
    4. **Calculate cost for 40 students (4 teachers):**
       * Students: $40 \times \$18 = \$720$
       * Teachers: $4 \times \$25 = \$100$
       * Total: $\$720 + \$100 = \$820$
       * Remaining budget: $\$900 - \$820 = \$80$
    
    5. **Add more students (which requires a 5th teacher):**
       * Adding any student past 40 requires a 5th teacher, costing $\$25$.
       * Remaining money for students: $\$80 - \$25 = \$55$.
       * Additional students possible: $\$55 \div \$18 \approx 3.05$ (so 3 more students).
       * Total students: $40 + 3 = 43$.
    
    6. **Verify the total cost for 43 students:**
       * Bus: $\$1,200$
       * Students ($43 \times \$18$): $\$774$
       * Teachers (5 teachers for 43 students, $5 \times \$25$): $\$125$
       * Total cost: $\$1,200 + \$774 + \$125 = \$2,099$ (under the $\$2,100$ budget).
    
    Final answer: 43

    1 message on Pro · $0.0023 to run · 5.1 s · 1,144 tokens out

  • Claude Haiku 4.5

    Passed

    Final answer 43: right.

    I need to find the maximum number of students that fits within the $2,100 budget.
    
    Let me denote the number of students as *s*.
    
    **Step 1: Express the total cost**
    - Bus cost: $1,200
    - Student cost: $18 per student = $18s
    - Teacher cost: Need one teacher per 10 students (or part of 10)
      - Number of teachers needed = ⌈s/10⌉ (ceiling function)
      - Teacher cost: $25 × ⌈s/10⌉
    
    Total cost = $1,200 + $18s + $25⌈s/10⌉
    
    **Step 2: Set up the constraint**
    Total cost ≤ $2,100
    
    $1,200 + $18s + $25⌈s/10⌉ ≤ $2,100
    
    $18s + $25⌈s/10⌉ ≤ $900
    
    **Step 3: Test values**
    
    For **s = 40**:
    - Teachers needed: ⌈40/10⌉ = 4
    - Cost: $1,200 + $18(40) + $25(4) = $1,200 + $720 + $100 = $2,020 ✓
    
    For **s = 41**:
    - Teachers needed: ⌈41/10⌉ = 5
    - Cost: $1,200 + $18(41) + $25(5) = $1,200 + $738 + $125 = $2,063 ✓
    
    For **s = 42**:
    - Teachers needed: ⌈42/10⌉ = 5
    - Cost: $1,200 + $18(42) + $25(5) = $1,200 + $756 + $125 = $2,081 ✓
    
    For **s = 43**:
    - Teachers needed: ⌈43/10⌉ = 5
    - Cost: $1,200 + $18(43) + $25(5) = $1,200 + $774 + $125 = $2,099 ✓
    
    For **s = 44**:
    - Teachers needed: ⌈44/10⌉ = 5
    - Cost: $1,200 + $18(44) + $25(5) = $1,200 + $792 + $125 = $2,117 ✗ (exceeds budget)
    
    **Step 4: Verify s = 43**
    Total cost = $2,099, which is ≤ $2,100 ✓
    
    Final answer: 43

    1 message on Pro · $0.0037 to run · 4.3 s · 651 tokens out

  • DeepSeek V4.1 Flash

    Passed

    Final answer 43: right.

    Budget after the bus:  
    $2,100 − $1,200 = $900
    
    Let \(s\) be the number of students.  
    Teachers needed: \(\lceil s/10 \rceil\), at $25 each.
    
    Try the largest possible teacher count that can fit:
    
    - If \(s = 43\), teachers \(= \lceil 43/10 \rceil = 5\)
    - Cost \(= 1200 + 18(43) + 25(5)\)
    - \(= 1200 + 774 + 125 = 2099\)
    
    That is within the $2,100 budget.
    
    Check one more:
    
    - If \(s = 44\), teachers \(= 5\)
    - Cost \(= 1200 + 18(44) + 25(5)\)
    - \(= 1200 + 792 + 125 = 2117\)
    
    That exceeds $2,100, so 44 students is too many.
    
    Final answer: 43

    1 message on Pro · $0.0009 to run · 2.6 s · 676 tokens out

5. Find the first wrong step

Hard · 4 of 4 passed

Asking for the first mistake, and not the answer, keeps the fixing to you.

The prompt: replace the parts in [brackets]

Here's my working. Find the first step that's wrong, explain the mistake in one or two sentences, and don't solve the rest for me. [paste your working]

Open in llmwise
How we filled it in and checked the replies
Here's my working. Find the first step that's wrong, explain the mistake in one or two sentences, and don't solve the rest for me.

Solve 3(x − 4) = 2x + 5
Step 1: 3x − 4 = 2x + 5
Step 2: 3x − 2x = 5 + 4
Step 3: x = 9
  • Right step: Step 1: the 4 wasn't multiplied by 3.
  • Clear explanation: Explains it in one or two sentences.
  • Doesn't finish it: Doesn't give the solution.
  • Automatic rules: includes “Step 1”; doesn't use “x = 17”; doesn't use “x=17”.
  • GPT-6 Luna

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    Step 1 is the first mistake: distributing 3 across the parentheses gives \(3x - 12\), not \(3x - 4\).

    1 message on Pro · under $0.0001 to run · 1.1 s · 36 tokens out

  • Gemini 3.8 Flash

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    The first wrong step is **Step 1**. 
    
    When expanding the parentheses on the left side, the $3$ must be multiplied by both terms inside, which should give $3x - 12$ instead of $3x - 4$.

    1 message on Pro · $0.0003 to run · 1.3 s · 53 tokens out

  • Claude Haiku 4.5

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    The first mistake is in **Step 1**.
    
    You forgot to distribute the 3 to both terms inside the parentheses. You only multiplied 3 by x, but you also need to multiply 3 by −4, which gives 3(−4) = −12, not just −4.

    1 message on Pro · $0.0008 to run · 1.3 s · 71 tokens out

  • DeepSeek V4.1 Flash

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    Step 1 is wrong: you didn't distribute the 3 across both terms inside the parentheses. It should be 3x − 12, not 3x − 4 — the 3 multiplies the 4 as well as the x.

    1 message on Pro · $0.0002 to run · 0.4 s · 83 tokens out

6. A study plan across three exams

Everyday · 4 of 4 passed

Dates, hours and your weak spot are what turn a generic plan into a calendar.

The prompt: replace the parts in [brackets]

Make me a day-by-day study plan. My exams: [your exams]. I can study [hours a day] a day, starting [when]. Give more time to [your weakest subject].

Open in llmwise
How we filled it in and checked the replies
Make me a day-by-day study plan. My exams: biology on Monday, history on Wednesday, math on Friday. I can study 3 hours a day, starting the Thursday before. Give more time to math.
  • Right days: Starts on Thursday, studies each subject before its exam, and none after it.
  • More math: Math gets the most time.
  • Three hours: Each day adds up to about 3 hours.
  • GPT-6 Luna

    Passed

    Graded 4.7 of 5 on average (lowest 4).

    ## Study plan
    
    Use focused 50-minute sessions with 10-minute breaks. Math gets the most total study time.
    
    | Day | 3-hour plan |
    |---|---|
    | **Thursday** | Biology: 2 hours (review key topics, identify weak spots) · Math: 1 hour (practice problems) |
    | **Friday** | Biology: 1.5 hours (active recall) · Math: 1.5 hours (practice problems) |
    | **Saturday** | Biology: 1.5 hours (quiz yourself, review gaps) · Math: 1.5 hours (mixed problem set) |
    | **Sunday** | Biology: 2 hours (final review and practice questions) · Math: 1 hour (review formulas and errors) |
    | **Monday — Biology exam** | Before the exam: 30 minutes of light biology review · After: History 1.5 hours · Math 1 hour |
    | **Tuesday** | History: 1.5 hours (timeline, themes, essay practice) · Math: 1.5 hours (target weak areas) |
    | **Wednesday — History exam** | Before the exam: 30 minutes of light history review · After: Math 2.5 hours (timed practice and error review) |
    | **Thursday** | Math: 3 hours (one timed practice test, then review mistakes and formulas) |
    | **Friday — Math exam** | Optional: 20–30 minutes of light formula review; avoid cramming. |
    
    That gives math the largest share of study time, with focused preparation for each exam as it gets closer.

    1 message on Pro · $0.0002 to run · 5.7 s · 671 tokens out

  • Gemini 3.8 Flash

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    Here is your daily study plan (3 hours/day), prioritizing Math while preparing for each exam in chronological order:
    
    ### **Thursday (Before Exams)**
    *Total: 3 hours*
    * **1.5 hours:** Math (Review hardest concepts / formulas)
    * **1.5 hours:** Biology (Core concepts and definitions)
    
    ### **Friday**
    *Total: 3 hours*
    * **1.5 hours:** Math (Practice problem sets)
    * **1.0 hour:** Biology (Diagrams and active recall)
    * **0.5 hour:** History (Timeline overview)
    
    ### **Saturday**
    *Total: 3 hours*
    * **2.0 hours:** Biology (Practice questions and high-yield topics)
    * **1.0 hour:** Math (Targeted practice on weak areas)
    
    ### **Sunday**
    *Total: 3 hours*
    * **2.5 hours:** Biology (Final review, flashcards, past exam questions)
    * **0.5 hour:** History (Key events and thematic outlines)
    
    ---
    ### **Monday (Biology Exam Day)**
    *Total: 3 hours*
    * **2.0 hours:** History (Major essay outlines, key figures, and causes/effects)
    * **1.0 hour:** Math (Formula retention and problem-solving)
    
    ### **Tuesday**
    *Total: 3 hours*
    * **2.5 hours:** History (Deep dive, memorization, and practice prompts)
    * **0.5 hour:** Math (Light review / warm-up problems)
    
    ---
    ### **Wednesday (History Exam Day)**
    *Total: 3 hours*
    * **3.0 hours:** Math (Intense practice tests and timing drills)
    
    ### **Thursday**
    *Total: 3 hours*
    * **3.0 hours:** Math (Review mistakes, mock exam, and formula sheet memorization)
    
    ---
    ### **Friday (Math Exam Day)**
    * *Rest and focus before the exam.*

    1 message on Pro · $0.0010 to run · 3.0 s · 425 tokens out

  • Claude Haiku 4.5

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    # 4-Day Study Plan (3 hours/day)
    
    **Thursday**
    - Biology: 1.5 hours
    - History: 1.5 hours
    
    **Friday**
    - Biology: 1 hour
    - History: 1 hour
    - Math: 1 hour
    
    **Saturday**
    - History: 1.5 hours
    - Math: 1.5 hours
    
    **Sunday**
    - Math: 3 hours
    
    **Total time per subject:**
    - Biology: 3.5 hours
    - History: 4 hours
    - Math: 5.5 hours
    
    This gives math the most study time while ensuring you have solid coverage across all three subjects before your exams.

    1 message on Pro · $0.0012 to run · 2.0 s · 163 tokens out

  • DeepSeek V4.1 Flash

    Passed

    Graded 4.7 of 5 on average (lowest 4).

    Assumes exams are in the morning. If any exam is in the afternoon, swap that day’s review block to the morning.
    
    | Day | Study blocks | Total |
    |---|---|---|
    | **Thu** | Biology 2h — core concepts + notes. Math 1h — problem sets. | 3h |
    | **Fri** | Biology 1.5h — practice questions. History 1.5h — timeline + reading. | 3h |
    | **Sat** | Biology 1h — weak areas. History 2h — essay plans/notes. | 3h |
    | **Sun** | Biology 2h — full review + past paper. Math 1h — formulas. | 3h |
    | **Mon** | **Biology exam (AM).** Afternoon: History 2h. Math 1h. | 3h |
    | **Tue** | History 2h — source questions/essay practice. Math 1h — mixed problems. | 3h |
    | **Wed** | **History exam (AM).** Afternoon: Math 3h — heavy problem practice. | 3h |
    | **Thu** | Math 3h — timed past papers + error review. | 3h |
    | **Fri** | **Math exam.** 1h final formula review before exam. 2h buffer/rest (or more review if exam is later). | 1–3h |
    
    **Totals:** Biology ≈ 6.5h · History ≈ 7.5h · Math ≈ 11h
    
    Math gets the most time, with the biggest blocks landing after your other exams are done. Use 50-minute focus blocks with 10-minute breaks if that helps you stay sharp.

    1 message on Pro · $0.0026 to run · 8.2 s · 2,083 tokens out

7. Cornell notes from a passage

Everyday · 4 of 4 passed

Naming the note-taking method gets a layout you can study from, with questions to test yourself.

The prompt: replace the parts in [brackets]

Turn this passage into Cornell notes: a cue column of questions, the notes, and a two-sentence summary at the bottom. [paste the passage]

Open in llmwise
How we filled it in and checked the replies
Turn this passage into Cornell notes: a cue column of questions, the notes, and a two-sentence summary at the bottom.

The water cycle moves water between the land, oceans and atmosphere. Heat from the sun evaporates water from oceans and lakes, and plants release water vapour through transpiration. As the vapour rises, it cools and condenses into clouds. When droplets grow heavy enough, they fall as precipitation: rain, snow, sleet or hail. Some of this water flows over the ground as runoff into rivers and back to the sea; some soaks into the soil and becomes groundwater, which can stay underground for thousands of years.
  • Cornell format: Cue questions, notes, and a two-sentence summary.
  • Accurate: Matches the passage.
  • Complete: Evaporation, transpiration, condensation, precipitation, runoff and groundwater.
  • GPT-6 Luna

    Passed

    Graded 4.7 of 5 on average (lowest 4).

    | Cue questions | Notes |
    |---|---|
    | What does the water cycle do? | Moves water between land, oceans, and atmosphere. |
    | How does water vapour enter the atmosphere? | The sun’s heat evaporates water from oceans and lakes; plants release vapour through transpiration. |
    | How do clouds form? | Rising water vapour cools and condenses. |
    | What causes precipitation, and what forms can it take? | Droplets grow heavy enough to fall as rain, snow, sleet, or hail. |
    | What happens to water after it falls? | Some flows over the ground as runoff into rivers and back to the sea. Some soaks into the soil and becomes groundwater, which can remain underground for thousands of years. |
    
    **Summary:** The sun drives the water cycle by causing evaporation and helping water move through the atmosphere. Water returns to Earth as precipitation, then flows back to the sea or becomes groundwater.

    1 message on Pro · $0.0001 to run · 2.0 s · 199 tokens out

  • Gemini 3.8 Flash

    Passed

    Graded 4.7 of 5 on average (lowest 4).

    | **Cues / Questions** | **Notes** |
    | :--- | :--- |
    | What is the primary role of the water cycle? | Moves water continuously among land, oceans, and atmosphere. |
    | How does water enter the atmosphere? | • **Evaporation:** Sun's heat turns water from oceans and lakes into vapor.<br>• **Transpiration:** Plants release water vapor into the air. |
    | How do clouds form? | Rising water vapor cools and **condenses** into clouds. |
    | What causes precipitation, and what forms can it take? | • Heavy droplets fall when they can no longer stay aloft.<br>• Forms: rain, snow, sleet, or hail. |
    | What happens to water once it reaches the ground? | • **Runoff:** Flows over land into rivers and returns to the sea.<br>• **Groundwater:** Soaks into soil; can remain underground for thousands of years. |
    
    ---
    
    ### Summary
    Driven by solar energy, the water cycle circulates water through evaporation and transpiration into the atmosphere, where it condenses into clouds and falls as precipitation. Once on the ground, water either flows as runoff back into oceans and rivers or infiltrates the soil to become long-term groundwater.

    1 message on Pro · $0.0007 to run · 2.0 s · 265 tokens out

  • Claude Haiku 4.5

    Passed

    Graded 4.3 of 5 on average (lowest 4).

    # The Water Cycle
    
    ## Cue Column | Notes
    **What processes move water through the cycle?** | Evaporation from oceans/lakes, transpiration from plants, condensation, precipitation, runoff, and groundwater infiltration
    **What causes evaporation?** | Heat from the sun evaporates water from oceans and lakes
    **How do clouds form?** | Water vapour rises, cools, and condenses into clouds
    **What happens when cloud droplets become heavy?** | They fall as precipitation (rain, snow, sleet, or hail)
    **Where does precipitation go after falling?** | Some flows as runoff into rivers and back to sea; some soaks into soil as groundwater
    **How long can groundwater remain underground?** | Thousands of years
    
    ## Summary
    The water cycle continuously moves water between land, oceans, and atmosphere through evaporation, condensation, and precipitation. Water either returns to the sea as runoff or infiltrates the soil as groundwater that can remain underground for extended periods.

    1 message on Pro · $0.0017 to run · 2.6 s · 231 tokens out

  • DeepSeek V4.1 Flash

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    # Cornell Notes — The Water Cycle
    
    | **Cue Column** | **Notes** |
    |---|---|
    | What is the water cycle? | The movement of water between land, oceans, and atmosphere. |
    | What drives evaporation? | Heat from the sun evaporates water from oceans and lakes. |
    | What is transpiration? | Plants release water vapour into the air. |
    | How do clouds form? | Rising vapour cools and condenses into clouds. |
    | What is precipitation? | When droplets grow heavy enough, they fall as rain, snow, sleet, or hail. |
    | Where does water go after falling? | • **Runoff** — flows over the ground into rivers and back to the sea.<br>• **Groundwater** — soaks into the soil; can stay underground for thousands of years. |
    
    **Summary:** The water cycle is driven by solar heat, which evaporates water from oceans and lakes while plants add vapour through transpiration. That vapour condenses into clouds and returns as precipitation, then either runs off to rivers and the sea or soaks in as long-lasting groundwater.

    1 message on Pro · $0.0004 to run · 1.1 s · 239 tokens out

8. A mnemonic that's actually right

Everyday · 4 of 4 passed

Asking it to show the mapping lets you check the order, which is the whole point of the mnemonic.

The prompt: replace the parts in [brackets]

Make a mnemonic to remember [what to remember], in order, and show which word stands for which.

Open in llmwise
How we filled it in and checked the replies
Make a mnemonic to remember the eight levels of biological classification, from domain to species, in order, and show which word stands for which.
  • Right order: Domain, kingdom, phylum, class, order, family, genus, species.
  • Memorable: Easy to say and remember.
  • Mapping shown: Shows which word stands for which level.
  • GPT-6 Luna

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    **Mnemonic:** *Dear King Philip Came Over For Good Soup*
    
    - **Dear** — Domain  
    - **King** — Kingdom  
    - **Philip** — Phylum  
    - **Came** — Class  
    - **Over** — Order  
    - **For** — Family  
    - **Good** — Genus  
    - **Soup** — Species

    1 message on Pro · under $0.0001 to run · 1.4 s · 75 tokens out

  • Gemini 3.8 Flash

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    Here is a classic mnemonic:
    
    **"Dear King Philip Came Over For Good Soup"**
    
    * **Dear** — **D**omain
    * **King** — **K**ingdom
    * **Philip** — **P**hylum
    * **Came** — **C**lass
    * **Over** — **O**rder
    * **For** — **F**amily
    * **Good** — **G**enus
    * **Soup** — **S**pecies

    1 message on Pro · $0.0003 to run · 1.4 s · 103 tokens out

  • Claude Haiku 4.5

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    # Biological Classification Mnemonic
    
    **"Did King Philip Come Over For Good Soup?"**
    
    | Word | Level |
    |------|-------|
    | **Did** | Domain |
    | **King** | Kingdom |
    | **Philip** | Phylum |
    | **Come** | Class |
    | **Over** | Order |
    | **For** | Family |
    | **Good** | Genus |
    | **Soup** | Species |
    
    This mnemonic helps you remember the eight-level hierarchy from broadest (Domain) to most specific (Species) classification.

    1 message on Pro · $0.0011 to run · 1.5 s · 132 tokens out

  • DeepSeek V4.1 Flash

    Passed

    Graded 4.7 of 5 on average (lowest 4).

    **"Do Kindly Please Come Over For Gooseberry Soup"**
    
    | Word | Level |
    |---|---|
    | **Do** | Domain |
    | **Kindly** | Kingdom |
    | **Please** | Phylum |
    | **Come** | Class |
    | **Over** | Order |
    | **For** | Family |
    | **Gooseberry** | Genus |
    | **Soup** | Species |
    
    A couple of alternates, same structure: **"Dear King Philip Came Over For Good Soup"** (add a D-word up front, e.g. "Dapper"), or **"Did King Philip Come Over For Great Spaghetti?"**
    
    Tip: the levels get more specific as you go down — Domain is the broadest (Bacteria, Archaea, Eukarya), Species the narrowest. The first letter of each word also spells **D-K-P-C-O-F-G-S**.

    1 message on Pro · $0.0004 to run · 1.3 s · 269 tokens out

9. Compare two concepts in a table

Everyday · 4 of 4 passed

A table forces a point-by-point comparison, and the last sentence makes you decide what matters most.

The prompt: replace the parts in [brackets]

Make a table comparing [concept A] and [concept B] on [how many] points, then one sentence on the single most important difference.

Open in llmwise
How we filled it in and checked the replies
Make a table comparing mitosis and meiosis on 5 points, then one sentence on the single most important difference.
  • Accurate: Right on the number of cells (2 vs 4), identical vs different, chromosome number, number of divisions and purpose.
  • Table: Five points in a table.
  • Key difference: One sentence on the most important difference.
  • GPT-6 Luna

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    | Point | Mitosis | Meiosis |
    |---|---|---|
    | Main role | Growth, repair, and cell replacement | Production of sex cells (gametes) |
    | Number of divisions | One | Two |
    | Number of resulting cells | Two | Four |
    | Chromosome number | Same as the parent cell | Half that of the parent cell |
    | Genetic similarity | Daughter cells are usually genetically identical | Resulting cells are genetically varied |
    
    The most important difference is that mitosis preserves chromosome number, while meiosis halves it to form gametes.

    1 message on Pro · under $0.0001 to run · 1.8 s · 119 tokens out

  • Gemini 3.8 Flash

    Passed

    Graded 4.7 of 5 on average (lowest 4).

    | Feature | Mitosis | Meiosis |
    | :--- | :--- | :--- |
    | **Purpose** | Growth, tissue repair, asexual reproduction | Sexual reproduction (gamete formation) |
    | **Location** | Somatic (body) cells | Germ cells (testes/ovaries) |
    | **Number of Divisions** | One | Two |
    | **Daughter Cells Produced** | 2 genetically identical diploid ($2n$) cells | 4 genetically diverse haploid ($n$) cells |
    | **Crossing Over** | Does not occur | Occurs during Prophase I |
    
    **Most Important Difference:** Mitosis creates identical diploid cells for growth and maintenance, whereas meiosis generates genetically unique haploid cells specifically for sexual reproduction.

    1 message on Pro · $0.0004 to run · 1.5 s · 156 tokens out

  • Claude Haiku 4.5

    Passed

    Graded 4.7 of 5 on average (lowest 4).

    # Mitosis vs Meiosis Comparison
    
    | Point | Mitosis | Meiosis |
    |-------|---------|---------|
    | **Purpose** | Growth, repair, and asexual reproduction | Production of gametes (sex cells) |
    | **Number of divisions** | One | Two |
    | **Daughter cells produced** | Two identical cells | Four genetically unique cells |
    | **Chromosome number** | Diploid (2n) → Diploid (2n) | Diploid (2n) → Haploid (n) |
    | **Genetic variation** | None; clones of parent | Yes; due to crossing over and independent assortment |
    
    **Most important difference:** Mitosis produces two identical diploid cells for body maintenance, while meiosis produces four genetically unique haploid cells for sexual reproduction.

    1 message on Pro · $0.0014 to run · 2.0 s · 194 tokens out

  • DeepSeek V4.1 Flash

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    | Point | Mitosis | Meiosis |
    |---|---|---|
    | Purpose | Growth, repair, and asexual reproduction | Production of gametes (sex cells) |
    | Number of divisions | One | Two (meiosis I and II) |
    | Daughter cells produced | 2 | 4 |
    | Chromosome number in daughter cells | Same as parent (diploid → diploid) | Halved (diploid → haploid) |
    | Genetic outcome | Genetically identical to parent cell | Genetically unique, due to crossing over and independent assortment |
    
    The single most important difference is that mitosis produces genetically identical diploid cells for growth and repair, whereas meiosis produces genetically varied haploid gametes for sexual reproduction.

    1 message on Pro · $0.0002 to run · 0.8 s · 158 tokens out

10. Probability with a checked answer

Hard · 4 of 4 passed

"At least one" problems are easiest through the opposite case; a tutor-style answer should show that trick.

The prompt: replace the parts in [brackets]

[your problem] Explain it like a tutor, then end with a line "Final answer: " and the answer as a fraction.

Open in llmwise
How we filled it in and checked the replies
If you roll a fair six-sided die four times, what's the probability of getting at least one six?
Explain it like a tutor, then end with a line "Final answer: " and the answer as a fraction.
  • Checked automatically: the reply's last “Final answer:” line must give 671/1296.
  • GPT-6 Luna

    Passed

    Final answer (671/1296 ): right.

    It’s easier to first find the probability of getting **no sixes** in four rolls. Each roll has a \(5/6\) chance of not being a six, so:
    
    \[
    P(\text{no sixes})=\left(\frac{5}{6}\right)^4=\frac{625}{1296}.
    \]
    
    The event “at least one six” is the opposite of “no sixes,” so subtract from 1:
    
    \[
    P(\text{at least one six})=1-\frac{625}{1296}=\frac{671}{1296}.
    \]
    
    Final answer: \(\frac{671}{1296}\)

    1 message on Pro · $0.0001 to run · 1.7 s · 141 tokens out

  • Gemini 3.8 Flash

    Passed

    Final answer 671/1296: right.

    To find the probability of getting **at least one six** in four rolls, it is much easier to calculate the probability of the opposite event (getting **no sixes at all**) and subtract it from 1.
    
    **Step 1: Find the probability of not rolling a six on a single roll.**
    A standard die has 6 sides. Five of those sides are not a six (1, 2, 3, 4, 5).
    * Probability of no six on one roll = $\frac{5}{6}$
    
    **Step 2: Find the probability of not rolling a six on all four rolls.**
    Since each roll is independent, we multiply the probability for each of the 4 rolls:
    $$P(\text{no sixes in 4 rolls}) = \left(\frac{5}{6}\right)^4 = \frac{5 \times 5 \times 5 \times 5}{6 \times 6 \times 6 \times 6} = \frac{625}{1296}$$
    
    **Step 3: Subtract from 1 to find the probability of at least one six.**
    All possible outcomes add up to 1, so:
    $$P(\text{at least one six}) = 1 - P(\text{no sixes})$$
    $$P(\text{at least one six}) = 1 - \frac{625}{1296} = \frac{1296 - 625}{1296} = \frac{671}{1296}$$
    
    Final answer: 671/1296

    1 message on Pro · $0.0008 to run · 2.3 s · 350 tokens out

  • Claude Haiku 4.5

    Passed

    Final answer 671/1296: right.

    # Rolling a Die and Getting at Least One Six
    
    Let me walk you through this step-by-step using a clever approach.
    
    ## The Easier Way: Use the Complement
    
    When a problem asks for "at least one," it's often easier to find the **opposite** and subtract from 1.
    
    **The opposite of "at least one six" is "no sixes at all."**
    
    ## Step 1: Probability of NOT rolling a six on one roll
    - A die has 6 faces: one 6, and five non-sixes
    - P(not a six) = 5/6
    
    ## Step 2: Probability of NOT rolling a six on all four rolls
    - Since each roll is independent, we multiply:
    - P(no sixes in 4 rolls) = (5/6) × (5/6) × (5/6) × (5/6) = (5/6)⁴
    
    Let me calculate: (5/6)⁴ = 625/1296
    
    ## Step 3: Find the opposite—at least one six
    - P(at least one six) = 1 - P(no sixes)
    - P(at least one six) = 1 - 625/1296
    - P(at least one six) = 1296/1296 - 625/1296
    - P(at least one six) = 671/1296
    
    Final answer: **671/1296**

    1 message on Pro · $0.0021 to run · 3.4 s · 333 tokens out

  • DeepSeek V4.1 Flash

    Passed

    Final answer 671/1296: right.

    ## Setting it up
    
    The phrase "at least one six" is the giveaway here: it's much easier to count the opposite event and subtract.
    
    **Why?** "At least one six" covers 1 six, 2 sixes, 3 sixes, and 4 sixes — four separate cases to add up. But its complement, "no sixes at all," is a single clean case. So use:
    
    $$P(\text{at least one six}) = 1 - P(\text{no sixes})$$
    
    ## Finding P(no sixes)
    
    On a single roll, the chance of *not* getting a six is $5/6$ (the outcomes 1, 2, 3, 4, 5).
    
    The rolls are independent, so multiply across all four:
    
    $$P(\text{no sixes in 4 rolls}) = \left(\frac{5}{6}\right)^4 = \frac{5^4}{6^4} = \frac{625}{1296}$$
    
    ## Subtracting
    
    $$P(\text{at least one six}) = 1 - \frac{625}{1296} = \frac{1296 - 625}{1296} = \frac{671}{1296}$$
    
    As a sanity check, that's about $0.518$ — a bit over half, which makes sense: you'd expect roughly one six every six rolls, so across four rolls you're slightly favored to see one.
    
    **Common trap:** don't just do $4 \times \frac{1}{6} = \frac{4}{6}$. That overcounts, because it double-counts the rolls where you get two or more sixes. The complement method avoids that entirely.
    
    Final answer: 671/1296

    1 message on Pro · $0.0006 to run · 1.8 s · 464 tokens out

11. Find the gaps in my explanation

Everyday · 4 of 4 passed

Explaining it yourself and asking for the gaps is the fastest way to find what you haven't understood.

The prompt: replace the parts in [brackets]

Here's my explanation of [your topic]. List any mistakes or gaps as a numbered list, without rewriting my explanation. [paste your explanation]

Open in llmwise
How we filled it in and checked the replies
Here's my explanation of supply and demand. List any mistakes or gaps as a numbered list, without rewriting my explanation.

When demand for something goes up, its price goes up, and then supply goes down because it's more expensive to make. Prices always settle where supply and demand are the same, and the government sets that price.
  • Finds the mistakes: A higher price draws more supply, not less; the market, not the government, sets the price (outside price controls).
  • Explains why: Briefly says why each is wrong.
  • No rewrite: Doesn't rewrite the explanation.
  • GPT-6 Luna

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    1. A rise in demand usually pushes the **equilibrium price** up, all else equal, but it doesn’t guarantee a higher price in every situation; the result depends on supply conditions and market constraints.
    2. A higher price generally increases the **quantity supplied**—movement along the supply curve. It doesn’t mean supply itself goes down. Supply shifts down or left when factors such as production costs make sellers less willing or able to produce at each price.
    3. “Supply and demand are the same” is imprecise: at equilibrium, the **quantity demanded equals the quantity supplied**.
    4. Prices don’t always settle at equilibrium, especially in the short run or when prices are restricted. Shortages or surpluses can persist.
    5. The government does not generally set the equilibrium price; it usually emerges from buyers’ and sellers’ decisions. Governments can influence or restrict prices through policies such as price ceilings or floors.

    1 message on Pro · $0.0001 to run · 3.5 s · 307 tokens out

  • Gemini 3.8 Flash

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    1. **Incorrect relationship between price and supply:** When the price of a good rises, the *quantity supplied* typically increases (law of supply), not decreases. Higher prices incentivize producers to make more because it is more profitable.
    2. **Confusing production costs with market price:** A rise in consumer demand and market price does not automatically make the good "more expensive to make." Production costs depend on input factors (materials, labor), not consumer demand itself.
    3. **Overstating market efficiency ("always settle"):** Prices do not *always* settle at the equilibrium point. Real-world markets experience delays, sticky prices, shortages, and surpluses due to imperfect information or sudden disruptions.
    4. **Incorrect claim about government price-setting:** In a market economy, the equilibrium price is determined naturally by the collective interactions of buyers and sellers, not set by the government (except in specific cases like price ceilings, price floors, or command economies). 
    5. **Missing the "supply" side of the initial dynamic (Gap):** The explanation omits what happens when supply changes (e.g., how an increase in supply lowers prices, or a decrease raises prices).
    6. **Confusing "demand/supply" with "quantity demanded/supplied" (Gap):** In economic terms, price changes cause movements along the curve (changes in *quantity* supplied/demanded), not shifts in the overall supply or demand curves themselves.

    1 message on Pro · $0.0007 to run · 4.2 s · 297 tokens out

  • Claude Haiku 4.5

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    Here are the mistakes and gaps in your explanation:
    
    1. **Backwards causality on supply**: When price goes up, supply typically goes *up* (producers want to make more at higher prices), not down. Higher prices don't make production more expensive in the normal sense—they make it more *profitable*.
    
    2. **Government doesn't set equilibrium prices**: In most markets, prices aren't set by government. They emerge from the interaction of buyers and sellers. Government may *regulate* or *control* prices in some cases, but that's an exception, not the rule.
    
    3. **Missing the feedback loop**: You describe demand going up causing price to go up, but don't explain what happens next—as price rises, quantity demanded typically goes *down* (fewer people buy at higher prices) while quantity supplied goes *up*, until they meet.
    
    4. **Unclear language on equilibrium**: "Supply and demand are the same" is imprecise. It's the *quantity* supplied and *quantity* demanded that become equal at equilibrium—supply and demand themselves are different concepts (the entire curves/schedules, not just one point).
    
    5. **No mention of what shifts equilibrium**: You don't explain that demand or supply curves can shift due to other factors (tastes, technology, input costs, etc.), which moves the equilibrium point itself.

    1 message on Pro · $0.0019 to run · 6.2 s · 292 tokens out

  • DeepSeek V4.1 Flash

    Passed

    Graded 5.0 of 5 on average (lowest 5).

    1. **"When demand goes up, its price goes up"** — roughly right as a tendency, but it skips the mechanism: a demand *shift* raises the equilibrium price *and* quantity. It also doesn't distinguish a shift of the demand curve from a movement along it.
    
    2. **"supply goes down because it's more expensive to make"** — this is wrong on two counts. A higher price of the good doesn't make production more expensive; input costs are what they are. And higher prices normally *increase* the quantity supplied (the law of supply), not decrease it. The direction is backwards.
    
    3. **Nothing is "set" by cost of the good itself.** The confusion is between the price of the output and the cost of inputs. Rising output price is an incentive to produce more, not a cost increase.
    
    4. **"Prices always settle where supply and demand are the same"** — imprecise. Equilibrium is where *quantity supplied equals quantity demanded*, not where "supply and demand" (the curves) are equal. Curves aren't quantities.
    
    5. **"Always" is too strong.** Markets can sit in disequilibrium — shortages, surpluses, sticky prices, rationing, queues — sometimes for long periods.
    
    6. **"The government sets that price"** — false as a general claim. In a market economy prices emerge from buyers and sellers. Governments *sometimes* impose price ceilings or floors, but those are exceptions, and they typically cause shortages or surpluses rather than "settling" anything.
    
    7. **Missing: what shifts supply.** Technology, input prices, number of sellers, expectations, taxes/subsidies.
    
    8. **Missing: what shifts demand.** Income, tastes, prices of substitutes and complements, expectations, number of buyers.
    
    9. **Missing: the distinction between shifting a curve and moving along it** — the single most common source of the errors above.
    
    10. **Missing: elasticity** — how much quantity responds to a price change, and why the same price change can have very different effects in different markets.
    
    11. **Missing: the role of substitutes, complements, and competition** in how prices actually form.
    
    12. **Missing: what happens after a demand increase** — you'd expect price and quantity both to rise, not supply to fall. As written, the explanation predicts the opposite of the standard result.

    1 message on Pro · $0.0011 to run · 3.7 s · 878 tokens out

Getting more from these prompts

  • Ask to be checked, not told: end with "ask me one question to check I understood".

  • For math, ask for the steps and a final answer line, then compare it with yours.

  • Paste your own work and ask for the first mistake only; fixing it yourself is the learning.

  • Say your level ("for a 9th grader"); the same topic can be explained in very different ways.

How we ran and checked them

Each prompt was sent the way llmwise sends a message: the app's own system prompt, each model's own settings, and Pro's reply size limit (8,000 tokens), through OpenRouter. Every reply is shown as it came.

Rubric (graded). The grader model scores the reply from 1 to 5 on each published criterion. It passes with an average of 4 or more and no criterion under 3, and only if it also meets the prompt's automatic rules (length, words it must or mustn't use).

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

The grader is Claude Opus 5.5 at low reasoning effort; its own replies are graded by GPT-6 Astra, so no model grades itself. Its prompt is on our test runs page.

More tested prompts

Questions

What are good AI prompts for studying?

Prompts that make you do the thinking: explain it at your level and then check you, quiz you one question at a time, find your first wrong step without solving the rest. They help you learn instead of handing you answers.

Which AI did best on these?

We ran these on GPT-6 Luna, Gemini 3.8 Flash, Claude Haiku 4.5, and DeepSeek V4.1 Flash, fast models that cost little to run. GPT-6 Luna passed the most: 11 of 11. The math prompts are checked on their final answer.

Can students use this for free?

When the free-message box shows here, one message needs no account (Claude Haiku 5.5 answers it). Signing up gives 5 free messages, once, with no card. Check your school's rules on AI for graded work.

Claude, GPT, Gemini, DeepSeek, Grok, Kimi, GLM, and Mistral, 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.