JonasLoos/Qwen3.8-27B-DFlash2-b32
Text Generation • 2B • Updated • 298
Datasets:
id stringlengths 11 11 | domain stringclasses 3
values | source stringclasses 7
values | split stringclasses 1
value | messages listlengths 1 1 | thinking stringlengths 38 42.1k | answer stringlengths 1 38.1k ⌀ | finish stringclasses 2
values | n_prompt_tokens int32 54 3.34k | n_completion_tokens int32 19 8.19k | prompt_ids listlengths 54 3.34k | completion_ids listlengths 19 8.19k |
|---|---|---|---|---|---|---|---|---|---|---|---|
math_000332 | math | gsm8k_train | train | [
{
"role": "user",
"content": "Mary and Mike are sharing a jar of paint. Mary paints a dragon using 3 square feet worth of paint. Mike paints a castle using 2 square feet more paint than Mary used on her dragon. They both then work together to paint the biggest sun possible. If there was originally enough pa... | We need answer simple word problem. Let's reason: Mary uses 3 sq ft. Mike uses 2 more than Mary: 5 sq ft. Total used before sun = 8. Original 13. Remaining = 5. They work together to paint biggest sun possible, so can use 5 sq ft. Need final concise with explanation. | Mary uses **3 square feet** of paint.
Mike uses **2 square feet more** than Mary, so Mike uses:
\[
3 + 2 = 5
\]
Together they have used:
\[
3 + 5 = 8
\]
The jar originally had enough paint for **13 square feet**, so the paint left for the sun is:
\[
13 - 8 = 5
\]
**Answer: 5 square feet** of paint can be used to... | stop | 136 | 190 | [
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math_000396 | math | numina/synthetic_math | train | [
{
"role": "user",
"content": "If \\(|x| + x + y = 12\\) and \\(x + |y| - y = 10\\), find \\(x + y\\).\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | We need answer math problem step by step. Need solve. Let's analyze thoroughly.
Problem: |x| + x + y = 12 and x + |y| - y = 10, find x+y.
We need consider cases signs of x,y. Let's denote A = |x|+x. If x>=0, A=2x; if x<0, A=0. B = |y|-y. If y>=0, B=0; if y<0, B=-2y. Then equations:
|x|+x + y =12 => A + y =12
x + |y| ... | We consider the signs of \(x\) and \(y\).
If \(x \le 0\), then \(|x|+x=0\). The first equation gives
\[
y=12.
\]
Then the second equation becomes
\[
x+|12|-12=x=10,
\]
which contradicts \(x\le 0\). Therefore,
\[
x>0.
\]
So \(|x|=x\), and the first equation becomes
\[
2x+y=12.
\]
Now consider \(y\). If \(y\ge 0... | stop | 104 | 5,280 | [
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math_000404 | math | numina/synthetic_math | train | [
{
"role": "user",
"content": "Compute the determinant of the following matrix, where all angles are in radians:\n\\[\n\\begin{vmatrix} \\sin 1 & \\sin 2 & \\sin 3 \\\\ \\sin 4 & \\sin 5 & \\sin 6 \\\\ \\sin 7 & \\sin 8 & \\sin 9 \\end{vmatrix}\n.\\]\n\nPlease reason step by step, and put your final answer w... | We need answer determinant. Need reason step by step. We need compute det of 3x3 with sin angles 1..9 radians. Could be some identity? Need exact? Maybe expression simplifies? Let's explore.
Matrix entries sin of consecutive integers 1..9. Need determinant. Could compute numerically? Probably exact via trig product-to... | Let the three rows be
\[
R_1=(\sin 1,\sin 2,\sin 3),\quad
R_2=(\sin 4,\sin 5,\sin 6),\quad
R_3=(\sin 7,\sin 8,\sin 9).
\]
Also define
\[
C=(\cos 1,\cos 2,\cos 3).
\]
Using the angle-addition formula
\[
\sin(x+y)=\sin x\cos y+\cos x\sin y,
\]
we get
\[
R_2=(\sin(1+3),\sin(2+3),\sin(3+3))
=\cos 3\,R_1+\sin 3\,C,
\]
... | stop | 145 | 6,478 | [
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math_000428 | math | numina/synthetic_math | train | [
{
"role": "user",
"content": "Find the smallest positive integer $x$ which is greater than $1$ and relatively prime to $180$.\n\nPlease reason step by step, and put your final answer within \\boxed{}."
}
] | We need answer math problem. Need solve: Find smallest positive integer x > 1 and relatively prime to 180. Relatively prime means gcd(x,180)=1. 180 = 2^2 * 3^2 *5. Numbers >1 not divisible by 2,3,5. Smallest positive integer >1 is 2 but not. 3 no, 4 no, 5 no, 6 no, 7 yes gcd(7,180)=1. So answer 7. Need step by step and... | We need the smallest integer \(x>1\) such that \(\gcd(x,180)=1\).
First factor \(180\):
\[
180 = 2^2 \cdot 3^2 \cdot 5
\]
So any number relatively prime to \(180\) must not be divisible by \(2\), \(3\), or \(5\).
Check integers greater than \(1\) in order:
- \(2\): divisible by \(2\), so not relatively prime.
- \(... | stop | 92 | 395 | [
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math_000440 | math | gsm8k_train | train | [
{
"role": "user",
"content": "Mabel planted 4 tomato plants. One tomato plant bore 8 tomatoes and another bore 4 more tomatoes than the first. The two remaining plants each bore three times the number of tomatoes as the first two plants combined. How many tomatoes does Mabel have?"
}
] | We need answer math word problem. Let's solve carefully.
Mabel planted 4 tomato plants.
One plant bore 8 tomatoes.
Another bore 4 more tomatoes than the first. First likely one plant (8), so second = 12.
The two remaining plants each bore three times the number of tomatoes as the first two plants combined.
First two c... | The first plant bore **8** tomatoes.
The second plant bore **4 more**, so it bore **8 + 4 = 12** tomatoes.
The first two plants combined bore **8 + 12 = 20** tomatoes.
Each of the remaining two plants bore **3 times** that amount: **20 × 3 = 60** tomatoes.
So the total number of tomatoes is:
**8 + 12 + 60 + 60 =... | stop | 105 | 289 | [
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math_000448 | math | numina/orca_math | train | [
{
"role": "user",
"content": "a farmer has an apple orchard consisting of fuji and gala apple trees . due to high winds this year 10 % of his trees cross pollinated . the number of his trees that are pure fuji plus the cross - pollinated ones totals 153 , while 3 / 4 of all his trees are pure fuji . how man... | We need solve math word problem. Need reason step by step. Let's parse carefully.
Problem: farmer has orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 153, while 3/4 of all hi... | Let \(T\) be the total number of trees.
- Pure Fuji trees: \(\frac{3}{4}T\)
- Cross-pollinated trees: \(10\%\) of \(T = \frac{1}{10}T\)
We are told:
\[
\frac{3}{4}T + \frac{1}{10}T = 153
\]
Find a common denominator:
\[
\frac{15}{20}T + \frac{2}{20}T = 153
\]
\[
\frac{17}{20}T = 153
\]
\[
T = 153 \cdot \frac{20}... | stop | 148 | 1,144 | [
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math_000492 | math | gsm8k_train | train | [
{
"role": "user",
"content": "Jeff orders a Halloween costume. He has to put in a 10% deposit and then pay the rest when he picks it up. The costume is 40% more expensive than last year's costume, which cost $250. How much did he pay when picking it up, in dollars?"
}
] | We need answer math word problem. Done. Need solve carefully.
Problem: Jeff orders Halloween costume. 10% deposit and then pay rest when picks up. Costume is 40% more expensive than last year's costume, which cost $250. How much did he pay when picking it up?
Interpretation: Last year's costume cost $250. This year's... | Last year’s costume cost $250. This year’s costume is 40% more expensive:
\[
250 \times 1.40 = 350
\]
He paid a 10% deposit, so he paid the remaining 90% when picking it up:
\[
350 \times 0.90 = 315
\]
He paid **$315** when picking it up. | stop | 118 | 276 | [
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math_000516 | math | numina/orca_math | train | [
{
"role": "user",
"content": "4 milkmen rented a pasture. A grazed 24 cows for 3 months, B 10 cows for 5 months, C 35 cows for some months, and D 21 cows for 3 months. A's share of rent is Rs. 720. The total rent of the field is Rs. 3250. For how many months did C graze his cows?\n\nPlease reason step by st... | We need solve problem. Let's reason carefully.
Problem: 4 milkmen rented a pasture. A grazed 24 cows for 3 months, B 10 cows for 5 months, C 35 cows for some months, D 21 cows for 3 months. A's share of rent is Rs. 720. Total rent Rs. 3250. For how many months did C graze his cows?
We need infer rent share proportion... | The rent is usually shared in proportion to **number of cows × number of months** (cow-months).
Let C graze his 35 cows for \(x\) months.
Cow-months:
- A: \(24 \times 3 = 72\)
- B: \(10 \times 5 = 50\)
- C: \(35 \times x = 35x\)
- D: \(21 \times 3 = 63\)
Total cow-months:
\[
72 + 50 + 35x + 63 = 185 + 35x
\]
A’s ... | stop | 156 | 700 | [
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math_000544 | math | gsm8k_train | train | [
{
"role": "user",
"content": "John climbs up 3 flights of stairs. Each flight is 10 feet. He then climbs a rope that is half that height. Finally, he climbs a ladder that is 10 feet longer than the rope. How high up did he go?"
}
] | We need answer math word problem. Need reason carefully. User: John climbs up 3 flights of stairs. Each flight is 10 feet. He then climbs a rope that is half that height. Finally, he climbs a ladder that is 10 feet longer than the rope. How high up did he go?
Need interpret. "half that height" likely half of height of... | He climbs:
- Stairs: \(3 \times 10 = 30\) feet
- Rope: half of 30 = \(15\) feet
- Ladder: 10 feet longer than the rope = \(15 + 10 = 25\) feet
Total height: \(30 + 15 + 25 = 70\) feet.
**Answer: 70 feet** | stop | 108 | 621 | [
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math_000604 | math | gsm8k_train | train | [
{
"role": "user",
"content": "Susan had a bouquet of 3 dozen roses. She gave half to her daughter, and then placed the rest in a vase. The next day, one-third of the flowers in the vase were wilted. After removing the wilted flowers, how many flowers remained in the vase?"
}
] | We need answer simple word problem. Need produce final. Let's solve: 3 dozen = 36. Half to daughter = 18 left in vase. Next day one-third of flowers in vase wilted: 18/3=6 wilted. Remove them, remain 12. Need answer maybe with explanation. | Susan started with 3 dozen roses:
3 × 12 = 36 roses
She gave half to her daughter:
36 ÷ 2 = 18 roses placed in the vase
The next day, one-third of the flowers wilted:
18 ÷ 3 = 6 wilted
After removing the wilted flowers:
18 − 6 = 12
**12 flowers remained in the vase.** | stop | 112 | 169 | [
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math_000640 | math | numina/synthetic_math | train | [
{
"role": "user",
"content": "Gretchen now has ten socks, two of each color: magenta, cyan, black, white, and red. She randomly draws five socks. What is the probability that she ends up with exactly one pair of socks of the same color?\n\nPlease reason step by step, and put your final answer within \\boxed... | We need solve combinatorics probability. Need provide step-by-step. Let's analyze carefully.
We have 10 socks: 2 of each of 5 colors (M,C,B,W,R). Randomly draws 5 socks. Presumably without replacement, uniformly among subsets of 5 socks? Socks of same color indistinguishable? But probability over random socks. We need... | Treat the socks as distinct for counting purposes.
There are
\[
\binom{10}{5}=252
\]
equally likely ways to draw 5 socks from the 10.
To have **exactly one pair** of the same color, the 5 socks must have color pattern
\[
2,1,1,1,
\]
meaning one color appears twice, and three other colors each appear once.
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math_000644 | math | gsm8k_train | train | [
{
"role": "user",
"content": "Celina enjoys hiking in the mountains. Due to a lack of proper equipment, she decided to order a new pair of boots, a flashlight, and a special hoodie. The hoodie cost $80 and the flashlight was only 20% of that price. The pair of boots cost was $110, but due to a special promo... | We need answer math word problem. Let's solve carefully.
Hoodie cost $80. Flashlight was 20% of that price => 0.20*80 = $16. Boots cost $110, 10% cheaper => pay 90% of 110 = $99 (discount $11). Total = 80+16+99 = $195.
Need final concise with explanation maybe. | The flashlight cost 20% of $80:
\[
0.20 \times 80 = 16
\]
The boots cost 10% less than $110:
\[
110 - (0.10 \times 110) = 110 - 11 = 99
\]
Total spent:
\[
80 + 16 + 99 = 195
\]
**Celina spent $195 in total.** | stop | 151 | 225 | [
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math_000648 | math | gsm8k_train | train | [
{
"role": "user",
"content": "At the Delicious Delhi restaurant, Hilary bought three samosas at $2 each and four orders of pakoras, at $3 each, and a mango lassi, for $2. She left a 25% tip. How much did the meal cost Hilary, with tax, in dollars?"
}
] | We need answer math word problem. Need compute. Problem: three samosas at $2 each = $6. four orders pakoras at $3 each = $12. mango lassi $2. subtotal food = $20. She left 25% tip. Question: How much did the meal cost Hilary, with tax, in dollars? Hmm says with tax but no tax rate given? Maybe 'with tax' means includin... | The food subtotal is:
- 3 samosas × $2 = $6
- 4 orders of pakoras × $3 = $12
- 1 mango lassi = $2
Total before tip: $6 + $12 + $2 = **$20**
The tip is 25% of $20:
$20 × 0.25 = **$5**
So the total cost, including the tip, is:
$20 + $5 = **$25**
**Answer: 25** | stop | 114 | 687 | [
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math_000668 | math | gsm8k_train | train | [
{
"role": "user",
"content": "Janet, a third grade teacher, is picking up the sack lunch order from a local deli for the field trip she is taking her class on. There are 35 children in her class, 5 volunteer chaperones, and herself. She she also ordered three additional sack lunches, just in case there was ... | We need answer math word problem. Need think in XML. Problem: Janet third grade teacher picking up sack lunch order. 35 children, 5 volunteer chaperones, and herself. She also ordered three additional sack lunches, just in case. Each sack lunch costs $7. How much do all the lunches cost in total?
Count: 35 + 5 + 1 + 3... | There are:
- 35 children
- 5 chaperones
- 1 teacher
- 3 extra lunches
Total lunches: \(35 + 5 + 1 + 3 = 44\)
Each lunch costs \$7, so:
\(44 \times 7 = 308\)
**Total cost: \$308** | stop | 137 | 212 | [
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math_000744 | math | gsm8k_train | train | [
{
"role": "user",
"content": "Johnny wrote an essay with 150 words. Madeline wrote an essay that was double in length, and Timothy wrote an essay that had 30 words more than Madeline's. If one page contains 260 words, how many pages do Johnny, Madeline, and Timothy's essays fill?"
}
] | We need answer simple math word problem. Need compute total words: Johnny 150. Madeline double length = 300. Timothy 30 more than Madeline = 330. Total = 780. One page 260 words. Pages = 780/260 = 3 exactly. Need phrase: fill 3 pages. Could include calculations. Ensure maybe asks "how many pages do Johnny, Madeline, an... | Johnny wrote 150 words.
Madeline wrote \(2 \times 150 = 300\) words.
Timothy wrote \(300 + 30 = 330\) words.
Total words:
\[
150 + 300 + 330 = 780
\]
Since one page contains 260 words:
\[
780 \div 260 = 3
\]
So their essays fill **3 pages**. | stop | 116 | 283 | [
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End of preview. Expand in Data Studio
Qwen3.8-27B thinking-mode completions
17,022 prompts from public chat, math and code datasets, each answered once by Qwen3.8-27B (FP8 checkpoint) in thinking mode with its recommended sampling settings (54M completion tokens). Every sample has the reasoning trace and the final answer, as text and as the exact token ids.
The set was generated to train speculative-decoding drafters for this model, so it records the model's own sampled distribution rather than greedy output or another model's answers. It also works as a reasoning distillation set. Made for qwen-spec (speculative decoding for Qwen3.8-27B on Apple silicon).
Generation
| Model | Qwen/Qwen3.8-27B-FP8 via vLLM |
| Chat template | enable_thinking=True, reasoning_effort="xhigh", one user turn |
| Sampling | temperature 1.0, top-p 0.95, top-k 20 (the model card's thinking-mode settings), one sample per prompt |
| Length cap | 8,192 completion tokens |
Nothing was edited or re-sampled. Samples that hit the length cap are kept (finish == "length", 26% of the set); filter on finish if you need complete answers.
Columns
| column | |
|---|---|
id |
<domain>_<index> |
domain |
chat, math or code |
source |
prompt source (table below) |
split |
train or heldout (about 1% per domain, drawn at random before generation), also exposed as dataset splits |
messages |
the prompt as a chat message list (one user turn; math prompts end with "Please reason step by step, and put your final answer within \boxed{}.") |
thinking |
text inside the <think> block |
answer |
text after </think>; null if the length cap hit inside the thinking block |
finish |
stop or length |
n_prompt_tokens, n_completion_tokens |
lengths of the id columns |
prompt_ids |
token ids of the rendered chat template, ending in <|im_start|>assistant\n<think>\n |
completion_ids |
sampled token ids, ending in <|im_end|> when finish == "stop" |
prompt_ids + completion_ids is the full training sequence; thinking and answer are decoded from completion_ids.
Prompt sources
source |
upstream | license | samples | completion tokens | length-capped |
|---|---|---|---|---|---|
magicoder_evol |
Magicoder-Evol-Instruct-110K | Apache-2.0; some prompts are Stack Overflow text, CC BY-SA | 4,999 | 28.1M | 54% |
ultrachat |
UltraChat 200k | MIT | 3,993 | 15.4M | 30% |
codealpaca |
CodeAlpaca-20k | CC-BY-4.0 | 3,000 | 3.5M | 7% |
gsm8k_train |
GSM8K train | MIT | 2,500 | 1.1M | 0% |
oasst1 |
OpenAssistant OASST1 | Apache-2.0 | 1,418 | 4.0M | 15% |
numina/orca_math |
NuminaMath-CoT / orca_math | Apache-2.0 | 562 | 0.9M | 7% |
numina/synthetic_math |
NuminaMath-CoT / synthetic_math | Apache-2.0 | 550 | 1.4M | 19% |
Prompts were sampled from the upstream training splits and exactly deduplicated; a few Magicoder-Evol prompts are rewrites of HumanEval tasks, as in the upstream set. Removed: 10 records with contact details or sensitive facts of identifiable people, and 60 synthetic_math records that reproduce problems of the MATH dataset (whose problems are not freely licensed). The completions are unfiltered model samples and can contain errors.
License
This compilation and the completions are released under CC BY-SA 4.0. Prompt text taken from the upstream sets remains under its original licence.
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