Chia-Mu-Lab/qwen2.5-7b-s1k-qwen3-235b-oracle-lora-8ep
Updated
messages listlengths 2 2 |
|---|
[
{
"role": "user",
"content": "Square $AIME$ has sides of length $10$ units. Isosceles triangle $GEM$ has base $EM$ , and the area common to triangle $GEM$ and square $AIME$ is $80$ square units. Find the length of the altitude to $EM$ in $\\triangle GEM$ ."
},
{
"role": "assistant",
"content":... |
[
{
"role": "user",
"content": "Consider the additive group $\\mathbb{Z}^{2}$ . Let $H$ be the smallest subgroup containing $(3,8), (4,-1)$ and $(5,4)$ .\nLet $H_{xy}$ be the smallest subgroup containing $(0,x)$ and $(1,y)$ . Find some pair $(x,y)$ with $x>0$ such that $H=H_{xy}$ ."
},
{
... |
[
{
"role": "user",
"content": "B.4 If $\\Delta E_{r m s}=5.54 \\times 10^{-17} \\mathrm{~J}$, calculate the rms speed of the Be nuclei, $\\mathrm{V}_{\\mathrm{Be}}$, and hence estimate $T_{\\mathrm{c}}$. (Hint: $\\Delta E_{r m s}$ depends on the rms value of the component of velocity along the line of sight)... |
[
{
"role": "user",
"content": "Prove that the function \\[ f(\\nu)= \\int_1^{\\frac{1}{\\nu}} \\frac{dx}{\\sqrt{(x^2-1)(1-\\nu^2x^2)}}\\]\r\n(where the positive value of the square root is taken) is monotonically decreasing in the interval $ 0<\\nu<1$ . [P. Turan]"
},
{
"role": "assistant",
"con... |
[
{
"role": "user",
"content": "Consider the following two person game. A number of pebbles are situated on the table. Two players make their moves alternately. A move consists of taking off the table $x$ pebbles where $x$ is the square of any positive integer. The player who is unable to make a move lose... |
[
{
"role": "user",
"content": "Joanie takes a $\\$6,\\!000$ loan to pay for her car. The annual interest rate on the loan is $12\\%$. She makes no payments for 4 years, but has to pay back all the money she owes at the end of 4 years. How much more money will she owe if the interest compounds quarterly tha... |
[
{
"role": "user",
"content": "Given a rational number, write it as a fraction in lowest terms and calculate the product of the resulting numerator and denominator. For how many rational numbers between 0 and 1 will $20_{}^{}!$ be the resulting product?"
},
{
"role": "assistant",
"content": "<thi... |
[
{
"role": "user",
"content": "Find the remainder when $9 \\times 99 \\times 999 \\times \\cdots \\times \\underbrace{99\\cdots9}_{\\text{999 9's}}$ is divided by $1000$ ."
},
{
"role": "assistant",
"content": "<think>\nOkay, so I need to find the remainder when this big product of numbers made u... |
[{"role":"user","content":"2 mol of $\\mathrm{Hg}(g)$ is combusted in a fixed volume bomb calorimete(...TRUNCATED) |
[{"role":"user","content":"Compute the mean molecular speed v in the heavy gas radon (Rn) in m/s"},{(...TRUNCATED) |
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s1K-1.1 Oracle Reasoning Traces from Qwen3-235B-A22B
Oracle reasoning traces for s1K-1.1 questions, generated by qwen3-235b-a22b via OpenRouter under clean inference (no prompt-injection attack).
Schema
ShareGPT 2-message format:
{"messages": [
{"role": "user", "content": "<question>"},
{"role": "assistant", "content": "<think>...reasoning...</think>\n<final answer>"}
]}
The assistant content has the canonical <think>...</think> reasoning block followed by the final answer.
Generation
- Teacher model:
qwen3-235b-a22b - Provider: OpenRouter
- Sampling: temperature=0.6, top_p=0.95
- Attack/prompt-injection: none — this is the oracle / clean trace (no V3 attack, no ICL)
- Question source: s1K-1.1 — 1000 reasoning-heavy questions from the s1 paper (Muennighoff et al. 2025)
Stats
| field | value |
|---|---|
| rows | 963 |
| format | ShareGPT (messages: [user, assistant]) |
| split | train |
Intended Use
SFT distillation into a small student model (e.g. Qwen2.5-7B-Instruct). The companion LoRA adapter is at Chia-Mu-Lab/qwen2.5-7b-s1k-qwen3-235b-oracle-lora-8ep.
Citation
@article{muennighoff2025s1,
title = {s1: Simple test-time scaling},
author = {Muennighoff, Niklas and Yang, Zitong and Shi, Weijia and others},
journal= {arXiv:2501.19393},
year = {2025}
}
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