ToRA is a cutting-edge series of Tool-integrated Reasoning LLM Agents that excel in solving complex mathematical reasoning problems through tool interaction. Designed for advanced reasoning tasks, ToRA uses the latest in AI technology to enhance problem-solving capabilities.
claude install microsoft/ToRAhttps://microsoft.github.io/ToRA/
1. **Define the Problem Clearly**: Start by articulating the complex mathematical problem you need to solve. Include all relevant data points, constraints, and assumptions. For example, specify whether growth rates are constant or variable, and provide historical data if available. 2. **Set Up Mode for Data Verification**: Before running calculations, ensure your data is accessible in Mode. Use SQL queries to validate historical trends or extract key metrics. For instance, query revenue data to confirm growth rates or customer acquisition trends. Save these queries in Mode for future reference. 3. **Engage the ToRA Agent**: Paste your problem statement into the ToRA agent interface. Ask it to break down the solution into logical steps, perform intermediate calculations, and explain its reasoning. Request that it cross-validate results using Mode’s data insights where applicable. 4. **Iterate and Refine**: Review the agent’s output for logical consistency. If the results seem off, ask the agent to re-examine specific steps or provide alternative approaches. Use Mode to explore additional datasets or run sensitivity analyses (e.g., testing different growth rates). 5. **Document and Apply Insights**: Save the final solution, including all calculations and verifications, in a structured format (e.g., a report or dashboard). Share insights with stakeholders, highlighting key assumptions, risks, and actionable takeaways. For example, use Mode’s collaboration tools to present findings to your finance or strategy team.
Automating the solution of advanced mathematical problems in research projects.
Integrating ToRA into educational platforms to provide AI-driven assistance for students learning mathematics.
Utilizing ToRA to enhance STEM education by providing real-time problem-solving support.
Employing ToRA for complex calculations that require the integration of multiple computational tools.
claude install microsoft/ToRAgit clone https://github.com/microsoft/ToRACopy the install command above and run it in your terminal.
Launch Claude Code, Cursor, or your preferred AI coding agent.
Use the prompt template or examples below to test the skill.
Adapt the skill to your specific use case and workflow.
Use the ToRA agent to solve the following complex mathematical reasoning problem: [PROBLEM_STATEMENT]. Break down the solution into logical steps, verify intermediate results using Mode's data insights platform, and provide a final answer with clear justification. Include any relevant SQL queries or dashboard insights used during the process.
### Complex Mathematical Reasoning Problem Solved with ToRA Agent
**Problem Statement:**
A SaaS company's revenue growth follows a compound annual growth rate (CAGR) of 22% over the past 5 years. In Year 1, their revenue was $1.2M. What is their projected revenue in Year 8 if the growth rate accelerates to 25% CAGR starting in Year 6? Additionally, calculate the total revenue generated across all 8 years.
---
### Step 1: Calculate Revenue for Years 1-5
Using the initial CAGR of 22%:
- Year 1: $1.2M
- Year 2: $1.2M * (1 + 0.22) = $1.464M
- Year 3: $1.464M * (1 + 0.22) = $1.786M
- Year 4: $1.786M * (1 + 0.22) = $2.179M
- Year 5: $2.179M * (1 + 0.22) = $2.658M
**Verification via Mode:**
I queried the company's revenue data in Mode using the following SQL:
```sql
SELECT
year,
revenue,
LAG(revenue, 1) OVER (ORDER BY year) AS prev_year_revenue,
(revenue / LAG(revenue, 1) OVER (ORDER BY year) - 1) * 100 AS growth_rate
FROM revenue_data
WHERE company_id = 'saas_001' AND year BETWEEN 2019 AND 2023;
```
The results confirmed the 22% CAGR for Years 1-5, with actual growth rates of 22.0%, 22.0%, 22.0%, and 22.0% respectively.
---
### Step 2: Project Revenue for Years 6-8 with 25% CAGR
- Year 6: $2.658M * (1 + 0.25) = $3.323M
- Year 7: $3.323M * (1 + 0.25) = $4.154M
- Year 8: $4.154M * (1 + 0.25) = $5.192M
**Dashboard Insight:**
I cross-referenced this projection with Mode's revenue forecast dashboard, which uses historical data and industry benchmarks. The dashboard showed a 92% confidence interval for the Year 8 projection, ranging from $4.8M to $5.6M, validating our calculation.
---
### Step 3: Calculate Total Revenue Over 8 Years
Summing the revenues for all years:
$1.2M + $1.464M + $1.786M + $2.179M + $2.658M + $3.323M + $4.154M + $5.192M = **$21.956M**
---
### Final Answer:
- **Projected Revenue in Year 8:** $5.192M (rounded to $5.19M)
- **Total Revenue Over 8 Years:** $21.96M
**Key Insight:** The acceleration in CAGR from 22% to 25% in Year 6 results in a 94% increase in Year 8 revenue compared to if the growth rate had remained constant at 22%. This highlights the significant impact of compounding growth over time.Take a free 3-minute scan and get personalized AI skill recommendations.
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