CoT-Self-Instruct: Building high-quality synthetic prompts for reasoning and non-reasoning tasks
Paper • 2507.23751 • Published • 4
question stringclasses 10
values | answer stringclasses 10
values | seed_indices listlengths 2 2 |
|---|---|---|
A sculptor is creating a large cylindrical vase. The vase must have a height that is exactly twice its radius ($h = 2r$). The total surface area of the material available for the vase (including the top and bottom) is exactly $150\pi$ square centimeters. What is the maximum possible volume, in cubic centimeters, of the... | \boxed{125\pi} | [
20952,
3648
] |
A small bookstore is stocking inventory for the holiday season. They need to purchase 300 copies of a new novel. They have two suppliers:
Supplier A offers the novel in standard paperback copies. The cost is $4.00 per copy, but there is a mandatory setup fee of $50 for any order placed with them.
Supplier B offers th... | $$\$1,350$$ | [
819,
9012
] |
A small artisanal bakery produces two types of specialty bread: Sourdough Loaves (S) and Multigrain Buns (M). The production process is constrained by oven time and ingredient availability.
To produce one Sourdough Loaf (S), the bakery requires 30 minutes of oven time and 1 cup of specialty flour. It yields a profit o... | Let $S$ be the number of Sourdough Loaves and $M$ be the number of Multigrain Buns.
Constraints:
1. Oven Time: $30S + 15M \le 1080$ (Dividing by 15: $2S + M \le 72$)
2. Flour: $1S + 0.5M \le 8$ (Multiplying by 2: $2S + M \le 16$)
3. Minimum Total Production: $S + M \ge 40$
4. Quality Constraint: $S > 2M$ (or $S \ge 2M... | [
8024,
7314
] |
A tech startup is deciding how to scale its cloud infrastructure for the next year. They have two options: Option A (The "Elastic" Solution) or Option B (The "Fixed" Solution).
**Option A (Elastic):**
* Initial setup cost: \$5,000.
* Monthly operational cost: \$1,500 per month, plus an additional \$50 for every 1,... | \boxed{Option B} | [
4572,
3358
] |
A small electronics manufacturer must source microchips for a new product line. They have two suppliers, Alpha and Beta, each with different pricing and risk profiles.
Supplier Alpha offers a bulk price of $50 per chip, but shipping costs are $150, and the defect rate is 2%. If a chip is defective, the manufacturer in... | $$\$53,000$$ | [
22174,
17870
] |
A bakery is preparing for a large catering order. The standard recipe for a batch of specialty cookies requires 3 cups of sugar and 4 cups of flour to produce 36 cookies.
For the first part of the order, the bakery needs to produce 108 cookies.
For the second part of the order, a different client requires 54 cookies,... | $$\frac{162}{3}$$
$$\boxed{54}$$ | [
2848,
19349
] |
A boutique sells two types of custom jewelry. Option A is a necklace with an original price of $450. It is currently marked down by 20%. Option B is a bracelet with an original price of $300. It is offered at a 15% discount, and additionally, the store offers a fixed $20 reduction on the discounted price. Which item of... | $$\$300$$ | [
13825,
1041
] |
A small artisanal coffee shop, "The Daily Grind," is planning its seasonal menu. They have a fixed weekly budget of $400 for purchasing specialized beans and milk alternatives. They offer two signature drinks: the 'Velvet Latte' and the 'Spiced Mocha'.
The Velvet Latte costs $2.50 to make (ingredients and labor). The ... | $$\text{16}$$ | [
976,
3070
] |
A team of researchers is conducting a geological survey across a 200 km stretch of coastline. They divide the survey into three phases:
Phase 1 covers the first 50 km, moving at a steady speed of 15 km/h.
Phase 2 covers the next 100 km, where they utilize specialized equipment and move at an average speed of 20 km/h.
P... | The total time spent actively moving is 10.5 hours, and the total duration of mandatory rest periods is 1.5 hours.
\boxed{10.5 \text{ hours (moving)} \text{ and } 1.5 \text{ hours (resting)}} | [
7164,
7623
] |
A small artisanal bakery is preparing a special batch of sourdough bread. The recipe requires 5/6 cup of whole wheat flour and 1/4 cup of water for every loaf. The baker currently has 7/3 of a bag of whole wheat flour and 3/4 of a bag of water. If the baker must maintain the exact required ratio of flour to water, what... | \boxed{3} | [
16559,
19726
] |
CoT-Self-Instruct Synthetic Data (llama.cpp generated)
This dataset contains synthetic reasoning data generated using the Chain-of-Thought Self-Instruct methodology, served locally via llama.cpp / llama-server.
Generation Details
- Source Dataset: gretelai/gretel-math-gsm8k-v1
- Generation Model: unsloth/gemma-4-E2B-it-GGUF:UD-Q8_K_XL
- Backend: llama.cpp (llama-server, OpenAI-compatible API)
- Task Type: reasoning
- Filter Method: none
- Generated Examples: 10
- After Filtering: 10 (100.0% acceptance rate)
- Generation Date: 2026-06-15 16:41:33 UTC
Based on the paper: "CoT-Self-Instruct: Building high-quality synthetic prompts for reasoning and non-reasoning tasks" (2025), arXiv:2507.23751.
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