Datasets:
Tasks:
Text Generation
Modalities:
Text
Formats:
parquet
Languages:
English
Size:
10K - 100K
License:
input stringlengths 33 136k | output stringlengths 335 284k |
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Solve the following problem. Make sure to put the answer (and only answer) inside \boxed{}.
In a solid-state reaction between two oxides, A₂O₃ and BO₂, forming a ternary oxide A₂BO₅, the rate of reaction is observed to depend on the diffusion of A³⁺ ions through the product layer. Given that the reaction follows the s... | <think>
We need to solve a problem: reaction follows shrinking core model, rate depends on diffusion of A³+ ions through product layer. Activation energy for diffusion is 120 kJ/mol. We need temperature at which reaction rate will increase by factor of 5 compared to rate at 1000 K, assuming pre-exponential factor remai... |
Solve the following problem. Make sure to put the answer (and only answer) inside \boxed{}.
A turbine blade rotates with angular velocity $ \omega $ in a fluid flow. The fluid enters the turbine at radius $ r_1 $ with tangential velocity $ V_{\theta 1} $ and exits at radius $ r_2 $ with tangential velocity $ V_{\theta... | <think>
We need to solve the problem. The problem statement: "A turbine blade rotates with angular velocity ω in a fluid flow. The fluid enters the turbine at radius r1 with tangential velocity Vθ1 and exits at radius r2 with tangential velocity Vθ2. Using Euler’s Turbine Equation, derive an expression for the power ex... |
Let \( A \) and \( B \) be two distinct points on the circle \( \Gamma \), not diametrically opposite. The point \( P \), distinct from \( A \) and \( B \), varies on \( \Gamma \). Find the locus of the orthocenter of triangle \( ABP \). Let's think step by step and output the final answer within \boxed{}. | <think>
We need to solve a geometry problem: Given a fixed circle Γ, with two distinct points A and B on it, not diametrically opposite. P varies on Γ, distinct from A and B. For each triangle ABP, we consider its orthocenter H (the intersection of the altitudes). As P moves around the circle (excluding A and B), the o... |
Suppose $f$ and $g$ are two functions from $\mathbb{R}$ to $\mathbb{R}$ such that $f(x) = g(x)$ for all irrational points $x$ in $\mathbb{R}$. Determine which of the following statements are true:
- (A) $f = g$ on the whole of $\mathbb{R}$ if $f$ and $g$ are both Lebesgue measurable on $\mathbb{R}$.
- (B) $f = g$ on $\... | <think>
We need to parse the problem. We have two functions f and g from ℝ to ℝ such that they agree on all irrational points x ∈ ℝ. The question: Determine which of the statements (A)-(D) are true. The statements are about when we can conclude that f = g on ℝ (i.e., they also agree on rational points) given additional... |
Solve the following problem. Make sure to put the answer (and only answer) inside \boxed{}.
In a clinical trial for a new drug to treat anxiety, the primary endpoint is the change in anxiety scores. The study design includes a placebo group and two different dosage groups (low and high). The trial uses a factorial des... | <think>
We need to read the problem carefully. The problem states:
"In a clinical trial for a new drug to treat anxiety, the primary endpoint is the change in anxiety scores. The study design includes a placebo group and two different dosage groups (low and high). The trial uses a factorial design to examine the inter... |
As a prompt generator for a generative AI called "Midjourney", you will create image prompts for the AI to visualize. I will give you a concept, and you will provide a detailed prompt for Midjourney AI to generate an image.
Please adhere to the structure and form... | <think>
The user asks: "What are the main reasons for the decline in bee populations, and what measures can be taken to protect them?" They want a response with certain constraints:
- At least 3 paragraphs.
- Paragraphs separated with markdown divider: *** (three asterisks).
- Must contain at least 2 placeholders repr... |
Does the series $\sum_{n=-\infty}^{\infty} \frac{1}{x+n \pi}$ converge, or is some method being used to assign a value to a divergent series? Let's think step by step and output the final answer within \boxed{}. | <think>
We need to answer: "Does the series $\sum_{n=-\infty}^{\infty} \frac{1}{x+n\pi}$ converge, or is some method being used to assign a value to a divergent series? Let's think step by step and output the final answer within \boxed{}."
We need to discuss the convergence of the series sum over all integer n from -∞... |
Solve the following problem. Make sure to put the answer (and only answer) inside \boxed{}.
Consider a buffer solution consisting of a weak acid \( \text{HB} \) and its conjugate base \( \text{B}^- \) with a \( \text{p}K_a \) of 5.00. The initial concentrations of \( \text{HB} \) and \( \text{B}^- \) are 0.1 M and 0.0... | <think>
We need to solve the problem: A buffer solution with weak acid HB and its conjugate base B^-, pKa = 5.00. Initial concentrations: [HB] = 0.1 M, [B^-] = 0.05 M. Volume = 1 L, so initial moles: HB = 0.1 mol, B^- = 0.05 mol. Then we add 0.01 moles of strong base (NaOH) to 1 L of this buffer solution. Reaction: OH-... |
Solve the following problem. Make sure to put the answer (and only answer) inside \boxed{}.
A certain chemical reaction releases energy due to the formation of new bonds. If the energy released per mole of the reactant is \( 150 \, \text{kJ} \) and the reaction involves \( 2 \, \text{moles} \) of the reactant, what is... | <think>
We need to solve a simple problem: energy released per mole = 150 kJ. Reaction involves 2 moles of reactant. Total energy = 150 kJ/mole * 2 moles = 300 kJ. So answer is D: 300 kJ. We need to output answer inside \boxed{}. The answer is "D: 300 kJ"? The problem asks: "what is the total energy released in the rea... |
"Let $\\triangle ABC$ be given with circumradius $R$. Let $K_1$ and $K_2$ be the circles which pass (...TRUNCATED) | "<think>\nWe need to parse the problem. We have triangle ABC with circumradius R. There are two circ(...TRUNCATED) |
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DASD stage1 - 50k length-filtered subset
A 50,000-example subset of the stage1 (low-temperature) config of Alibaba-Apsara/Superior-Reasoning-SFT-gpt-oss-120b.
Columns are input / output; output is the verbatim gpt-oss-120b <think> reasoning trace.
How it was built
- Started from stage1 (104,829 rows).
- Applied the Qwen3-4B-Instruct-2507 chat template and tokenized the full formatted conversation, then dropped every example over 65,536 tokens (the 64K training cutoff), so no example is split across packed blocks.
- Took a random 50,000 sample (
seed=42).
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