Solve a complex analytical or math problem with a step-by-step breakdown using Claude
From problem statement to a detailed solution with verification - in a single Claude chat, no blind formulas
- 1.Open the Claude website and sign in (registration is free via email). If the service is unavailable in your region, use a VPN.
The free Claude tier gives access to the Claude Sonnet model with a message limit - this is enough for one problem.
Claude ↗About this tool - 2.Click «New chat» and paste the following prompt, replacing the content in square brackets with your problem and context.
The more precisely you describe the conditions and constraints, the better the solution. Specify known values, formulas (if any), and exactly what needs to be found.
Claude ↗About this toolPromptYou are a meticulous mathematician and analyst. Solve the following problem step by step. Do NOT skip intermediate steps - show every calculation and explain the reasoning behind each one. After reaching the final answer, verify it by substituting it back into the original conditions or by an alternative method. If the problem has multiple valid approaches, briefly mention which one you chose and why. PROBLEM: [insert your problem text, e.g.: «Find the volume of a solid obtained by rotating y = x^2 around the x-axis from x=0 to x=2»] CONTEXT / KNOWN DATA: [insert known data, constraints, units - or write «none» if there are none] REQUIRED OUTPUT FORMAT: 1. Restate the problem in your own words. 2. List the given values and what needs to be found. 3. Show the solution step by step with formulas. 4. State the final answer clearly. 5. Verification section.
What this prompt doesAn English prompt forces Claude into step-by-step mathematician mode: it must lay out every step, not just give the answer. In the PROBLEM block, insert your problem text in any language; in CONTEXT, add known data. If there is no data, write none. The output format is fixed: restatement -> data -> solution -> answer -> verification. - 3.If the solution contains steps that look suspicious, send a follow-up request in the same chat so Claude rechecks a specific step.
Claude sometimes makes arithmetic mistakes. Don't hesitate to ask it to double-check a specific step - the model will recalculate taking your note into account.
Claude ↗About this toolPromptRecheck step [step number, e.g.: 3] in detail. Recalculate every number independently and confirm or correct it. If the result changes, update all subsequent steps and the final answer accordingly.
What this prompt doesThis prompt makes Claude recalculate the specified step from scratch and, if the answer changes, update all subsequent steps. Replace [step number] with the number from the previous answer. - 4.If the task is analytical (not purely mathematical), ask Claude to structure the output as a table or a brief summary.
Handy for tasks like «estimate revenue across three scenarios» or «compare two approaches by criteria».
Claude ↗About this toolPromptNow present the results as a Markdown table with these columns: [list the columns you need, e.g.: «Scenario | Assumption | Result | Risk»]. Add a 3-sentence summary below the table.
What this prompt doesThis prompt restructures the already obtained solution into a table with columns you specify and adds a brief three-sentence text summary. - 5.Copy the final answer and verification into your document. If the task involves finance or business, double-check key numbers manually or with a calculator - an LLM does not replace calculations in critical cases.
Do not feed confidential company data or personal data into Claude without anonymizing it. Replace real amounts and names with placeholder values.
Claude ↗About this tool
- freeClaude FreeThe free tier gives access to the Claude Sonnet model with a daily message limit; this is enough for one detailed problem with follow-up questions.
- subscriptionClaude ProThe paid subscription at $20/month removes the message limit and gives access to a more powerful model; check current prices on the pricing page.
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AI services change fast - interfaces and free limits may differ from what's described.