Hunter Alpha
Collection
2 items • Updated • 2
messages listlengths 2 2 |
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[
{
"role": "user",
"content": "During the early post‑bounce phase of a core‑collapse supernova, revival of the stalled shock is primarily driven by neutrino heating in the gain region. The heating rate per unit mass can be approximated as \\[ \\dot Q \\;\\approx\\; \\frac{L_{\\nu_e}\\,\\langle\\varepsilon_{\... |
[
{
"role": "user",
"content": "Evaluate the definite integral of f(x) = 3x^2 + 5x + 3 from 3 to 13."
},
{
"role": "assistant",
"content": "<think>We are to evaluate the definite integral of f(x) = 3x^2 + 5x + 3 from 3 to 13.\n\nFirst, find the antiderivative F(x) of f(x).\n∫(3x^2 + 5x + 3) dx = (... |
[
{
"role": "user",
"content": "In a fixed‑target experiment a high‑energy proton beam collides with a stationary proton target to produce a single neutral heavy particle X of mass M_X = 3.0 GeV/c² via \\[ p + p \\;\\rightarrow\\; p + X . \\] The particle X immediately decays isotropically in its own rest fra... |
[
{
"role": "user",
"content": "How can I convert a Python dictionary into a valid JSON format using AI?"
},
{
"role": "assistant",
"content": "<think>We are talking about converting a Python dictionary to a JSON string. This is a standard task and doesn't necessarily require AI, but I can explain... |
[
{
"role": "user",
"content": "Is the distinction between physical brain states and consciousness a difference of degree or a difference of kind?"
},
{
"role": "assistant",
"content": "<think>Hmm, this is a profound philosophical question about the relationship between brain states and consciousn... |
[
{
"role": "user",
"content": "Find the 38th term and the sum of the first 38 terms of an arithmetic sequence with a₁ = -9 and common difference d = -2."
},
{
"role": "assistant",
"content": "<think>We are given: \"Find the 38th term and the sum of the first 38 terms of an arithmetic sequence wit... |
[
{
"role": "user",
"content": "Compute (3935 * 387) mod 20. Show each step."
},
{
"role": "assistant",
"content": "<think>We are asked to compute (3935 * 387) mod 20, and show each step.\n\nWe can compute the product first and then take mod 20, but that might be a big number. Instead, we can use ... |
[
{
"role": "user",
"content": "Build a fully playable Space Invaders clone game using HTML5 Canvas and pure JavaScript (no external libraries). Implement the following mechanics: grid formation of alien sprites that oscillate and descend; player ship with left/right movement and shooting (spacebar); lives co... |
[
{
"role": "user",
"content": "Calculate the circumference of a circle with radius 93.45."
},
{
"role": "assistant",
"content": "<think>The user wants me to calculate the circumference of a circle with radius 93.45.\n\nThe formula for circumference is: C = 2πr\n\nC = 2 × π × 93.45\nC = 2 × 3.1415... |
[
{
"role": "user",
"content": "Return your final response within \\boxed{} and only include the letter choice (e.g., A, B, C, or D) as your final response. In a closed system, if a total charge of \\(+12 \\, \\text{C}\\) enters the system through one end and a total charge of \\(-8 \\, \\text{C}\\) leaves th... |
[
{
"role": "user",
"content": "How can I create a function that finds the longest consecutive sequence of items in an array?"
},
{
"role": "assistant",
"content": "<think>The user is asking about how to create a function that finds the longest consecutive sequence of items in an array. Let me pro... |
[
{
"role": "user",
"content": "Write a Swift solution for the following problem: Given a binary tree, check if it is a valid binary search tree. Show a brute-force approach first, then optimize it."
},
{
"role": "assistant",
"content": "<think>We are going to write a Swift solution for checking i... |
[
{
"role": "user",
"content": "Let \\( x, y, z \\in \\mathbb{R} \\) such that \\( x + y + z = 0 \\), \\( x + 1 > 0 \\), \\( y + 1 > 0 \\), and \\( z + 1 > 0 \\). Find the maximum value of \\( A = \\frac{x}{x+1} + \\frac{y}{y+1} + \\frac{z}{z+1} \\)."
},
{
"role": "assistant",
"content": "<think>W... |
[
{
"role": "user",
"content": "Solve the system of equations: -10x + 6y = 17 6x + -10y = 1 Show the method (substitution or elimination)."
},
{
"role": "assistant",
"content": "<think>We are asked to solve the system of equations:\n -10x + 6y = 17\n 6x - 10y = 1\n\nWe can use either substitu... |
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Hunter-Alpha-xhigh-300000x
- 308,000 reasoning traces distilled from
Hunter Alphaon OpenRouter athighandxhighreasoning
Distribution:
Math: 30% (Algebra, Calculus, Probability) Coding: 30% (Includes: Webdev, C++, Java, JS, C, Ruby, Lua, Rust, and C#) Science: 15% (Physics, Chemistry, Biology) Computer Science: 15% Creative Writing: 10%Token Count as of 3/17/2026:
1.2B
Will update this repo as I collect more traces until the model is removed from OpenRouter, unless I find more unique prompts I probably wont update this beyond 3/17
Data Collection
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, over the course of about (50-60) hours
hi - ianncity 
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