HETU Models
Collection
CotGen/CotCond checkpoints for the HETU paper (passage reranking + math reasoning). • 23 items • Updated
system stringclasses 1
value | conversations listlengths 2 2 | task stringclasses 1
value |
|---|---|---|
You are a careful math assistant that reasons step-by-step and reports a final boxed answer. | [
{
"from": "human",
"value": "Once upon a time, a team of Knights and a team of Liars met in the park and decided to ride a circular carousel that can hold 40 people (the \"Chain\" carousel, where everyone sits one behind the other). When they took their seats, each person saw two others: one in front and on... | Math_Reasoning |
You are a careful math assistant that reasons step-by-step and reports a final boxed answer. | [
{
"from": "human",
"value": "Find the biggest real number $ k$ such that for each right-angled triangle with sides $ a$ , $ b$ , $ c$ , we have\r\n\\[ a^{3}\\plus{}b^{3}\\plus{}c^{3}\\geq k\\left(a\\plus{}b\\plus{}c\\right)^{3}.\\]"
},
{
"from": "gpt",
"value": "<think>\nOkay, so I need to ... | Math_Reasoning |
You are a careful math assistant that reasons step-by-step and reports a final boxed answer. | [
{
"from": "human",
"value": "Given \\( \\theta_{1}, \\theta_{2}, \\theta_{3}, \\theta_{4} \\in \\mathbf{R}^{+} \\) and \\( \\theta_{1} + \\theta_{2} + \\theta_{3} + \\theta_{4} = \\pi \\), find the minimum value of \\( \\left(2 \\sin^{2} \\theta_{1} + \\frac{1}{\\sin^{2} \\theta_{1}}\\right)\\left(2 \\sin^{... | Math_Reasoning |
You are a careful math assistant that reasons step-by-step and reports a final boxed answer. | [
{
"from": "human",
"value": "The center of the circle inscribed in a trapezoid is at distances of 5 and 12 from the ends of one of the non-parallel sides. Find the length of this side."
},
{
"from": "gpt",
"value": "<think>\nOkay, so I have this problem about a trapezoid with an inscribed circle... | Math_Reasoning |
You are a careful math assistant that reasons step-by-step and reports a final boxed answer. | [
{
"from": "human",
"value": "A word is an ordered, non-empty sequence of letters, such as $word$ or $wrod$ . How many distinct $3$ -letter words can be made from a subset of the letters $c, o, m, b, o$ , where each letter in the list is used no more than the number of times it appears?"
},
{
"f... | Math_Reasoning |
You are a careful math assistant that reasons step-by-step and reports a final boxed answer. | [
{
"from": "human",
"value": "Given a parabola \\(C\\) with the center of ellipse \\(E\\) as its focus, the parabola \\(C\\) passes through the two foci of the ellipse \\(E\\), and intersects the ellipse \\(E\\) at exactly three points. Find the eccentricity of the ellipse \\(E\\)."
},
{
"from": "gpt... | Math_Reasoning |
You are a careful math assistant that reasons step-by-step and reports a final boxed answer. | [{"from":"human","value":"There exists a unique strictly increasing sequence of nonnegative integers(...TRUNCATED) | Math_Reasoning |
You are a careful math assistant that reasons step-by-step and reports a final boxed answer. | [{"from":"human","value":"Find all the roots of the equation\n\n\\[ 1 - \\frac{x}{1} + \\frac{x(x-1)(...TRUNCATED) | Math_Reasoning |
You are a careful math assistant that reasons step-by-step and reports a final boxed answer. | [{"from":"human","value":"Let $\\overline{AB}$ be a chord of a circle $\\omega$ , and let $P$ be a p(...TRUNCATED) | Math_Reasoning |
You are a careful math assistant that reasons step-by-step and reports a final boxed answer. | [{"from":"human","value":"Calculate \\( \\left[6 \\frac{3}{5}-\\left(8.5-\\frac{1}{3}\\right) \\div (...TRUNCATED) | Math_Reasoning |
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HETU-MathReasoning-CotGen-Data
Training data for the HETU (Hints Enable True Understanding) paper.
- Task: math reasoning (AIME, GSM8K, MATH-500, Omni-MATH, GPQA-Diamond, MMLU)
- Method: CotGen
- Examples: 3,481 train / 35-36 held-out val
- Format: ShareGPT (
system+conversations: [{from, value}]), used for LoRA SFT via LLaMA-Factory.
Single-turn ShareGPT conversations, curated DeepSeek-R1-style math reasoning distillation. Each row: the raw math/logic problem (human turn) and the full teacher chain-of-thought plus a boxed final answer (gpt turn), with loss computed over the entire gpt turn.
Files:
train.json-- training splitval.json-- held-out validation split
See the HETU paper for full dataset construction methodology, and the corresponding
HETU-*-MathReasoning-CotGen model repos for checkpoints trained on this data.
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