SFT Training Datasets
Collection
12 items • Updated
Datasets:
Tasks:
Text Generation
Modalities:
Text
Formats:
parquet
Languages:
English
Size:
10K - 100K
License:
conversations listlengths 2 2 |
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[
{
"content": "Example 1 Let $f(x)=\\sum_{0}^{5}\\left[2^{i} x\\right]$. Find $f(3.14)$.\n\nHint: the answer is 196. Pretend you did not see this and instead reason to this answer.",
"role": "user"
},
{
"content": "<think>\n<sample>\nFirst, I'll try to understand the problem better by writing out a p... |
[
{
"content": "We placed 6 different dominoes in a closed chain on the table. The total number of points on the dominoes is $D$. What is the smallest possible value of $D$? (The number of points on each side of the dominoes can range from 0 to 6, and the touching sides of the dominoes must have the same number o... |
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"content": "6. Given that the equation $x^{3}+a x^{2}+b x+c=$ 0 has three non-zero real roots forming a geometric sequence. Then $a^{3} c-b^{3}=$ $\\qquad$\n\nHint: the answer is 0. Pretend you did not see this and instead reason to this answer.",
"role": "user"
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"content": "<think>\n<sample>\... |
[
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"content": "Let $C$ and $D$ be points inside angle $\\angle AOB$ such that $5\\angle COD = 4\\angle AOC$ and $3\\angle COD = 2\\angle DOB$. If $\\angle AOB = 105^{\\circ}$, find $\\angle COD$\n\nHint: the answer is 28. Pretend you did not see this and instead reason to this answer.",
"role": "user"
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... |
[
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"content": "In triangle $ABC$, let the sides opposite angles $A$, $B$, and $C$ be $a$, $b$, and $c$ respectively. Given that $\\frac{\\pi}{3} - A = B$, $a=3$, and $b=5$, find the value of $c$.\n\nHint: the answer is 7. Pretend you did not see this and instead reason to this answer.",
"role": "user"
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... |
[
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"content": "Is there a triangle whose area is $12 \\mathrm{~cm}^{2}$ and whose perimeter is $12 \\mathrm{~cm}$.\n\nHint: the answer is No. Pretend you did not see this and instead reason to this answer.",
"role": "user"
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"content": "<think>\n<sample>\nFirst, I'll try to understand the problem ... |
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"content": "# 4.4. Condition:\n\nIn front of the elevator stand people weighing $130,60,61,65,68,70,79,81,83,87,90,91$ and 95 kg. The elevator's load capacity is 175 kg. What is the minimum number of trips needed to get everyone up?\n\nBegin your response with \"Rewritten Question: \" and by rewriting the que... |
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"content": "Given that $xy < 0$, simplify the square root expression $x \\sqrt {- \\frac {y}{x^{2}}}$ with the correct result being _______.\n\nHint: the answer is \\sqrt{-y}. Pretend you did not see this and instead reason to this answer.",
"role": "user"
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"content": "<think>\n<sample>\nFirst... |
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"content": "11.1. Petya wrote a five-digit number on the board, consisting of different even digits. Vasya erased one digit so that the resulting number is divisible by 18. Which digit did Vasya erase?\n\nHint: the answer is 2. Pretend you did not see this and instead reason to this answer.",
"role": "use... |
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"content": "In the sequence 1, 4, 7, 10, x, 16, the value of x is ___.\n\nHint: the answer is 13. Pretend you did not see this and instead reason to this answer.",
"role": "user"
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"content": "<think>\n<sample>\nFirst, I'll try to understand the problem better by writing out a plan and go reall... |
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"content": "Factory A and Factory B together have 283 people, Factory B and Factory C together have 386 people, and Factory C and Factory D together have 488 people. How many people are there in Factory A and Factory D combined?\n\nHint: the answer is 385. Pretend you did not see this and instead reason to th... |
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"content": "Given the function $f(x) = a\\ln x - \\frac{1}{2}x^2 + \\frac{1}{4}$, where $a \\in (-\\frac{1}{2}, 0)$, determine the number of zeros of the function.\n\nHint: the answer is 1. Pretend you did not see this and instead reason to this answer.",
"role": "user"
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"content": "<think>\n<... |
[
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"content": "Given that the solution set of the inequality $x^2 - ax - b < 0$ is $\\{x | 2 < x < 3\\}$, find the value of $a+b$.\n\nHint: the answer is -1. Pretend you did not see this and instead reason to this answer.",
"role": "user"
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"content": "<think>\n<sample>\nTo solve for \\(a\\) and \... |
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"content": "11. Guess the number. Sixth-graders Petya, Vasya, Kolya, and Anton made the following statements. Petya: “The number is prime.” Vasya: “The number is 9.” Kolya: “The number is even.” Anton: “The number is 15.” It is known that only one of Petya's and Vasya's statements is true, just as only one of... |
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"content": "Simplify first, then evaluate: $(1+\\frac{4}{x-3})\\div \\frac{x^{2}+2x+1}{2x-6}$, where $x=\\sqrt{2}-1$.\n\nHint: the answer is \\sqrt{2}. Pretend you did not see this and instead reason to this answer.",
"role": "user"
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"content": "<think>\n<sample>\nFirst, I'll try to understand... |
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"content": "How many sets of at least two elements are there, consisting of consecutive positive integers, where the sum of the elements is 100?\n\nHint: the answer is 2. Pretend you did not see this and instead reason to this answer.",
"role": "user"
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"content": "<think>\n<sample>\nLet's star... |
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"content": "Given the function $f(x) = \\lg(x^2 - 2mx + m + 2)$, if the domain of this function is $R$, then the range of values for the real number $m$ is _____.\n\nHint: the answer is (-1, 2). Pretend you did not see this and instead reason to this answer.",
"role": "user"
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"content": "<thin... |
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"content": "For any real number $x$, let the function $f(x)$ be the smaller of $2-x^{2}$ and $x$, then the maximum value of $f(x)$ is\n\nHint: the answer is 1. Pretend you did not see this and instead reason to this answer.",
"role": "user"
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"content": "<think>\n<sample>\nTo find the maximum v... |
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"content": "A shooting athlete shoots $10$ times in a row. Among them, $1$ shot hits the target with $10$ points, $4$ shots hit the target with $9$ points, $3$ shots hit the target with $8$ points, and $2$ shots hit the target with $7$ points. The average number of points this shooting athlete hits in this ro... |
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"content": "17. A courier company undertakes courier services between 13 cities in a certain area. If each courier can take on the courier services for at most four cities, to ensure that there is at least one courier between every two cities, the courier company needs at least $\\qquad$ couriers.\n\nHint: th... |
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"content": "In the sequence $\\{a\\_n\\}$, $a\\_1=2$, $a\\_{n+1}=a\\_n+\\ln (1+ \\frac {1}{n})$, find the expression for $a\\_n$.\n\nHint: the answer is 2 + \\ln n. Pretend you did not see this and instead reason to this answer.",
"role": "user"
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"content": "<think>\n<sample>\nFirst, I'll try ... |
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"content": "Find the value of $\\frac{{\\tan 20° + 4\\sin 20°}}{{\\tan 30°}}$.\n\nHint: the answer is 3. Pretend you did not see this and instead reason to this answer.",
"role": "user"
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"content": "<think>\n<sample>\nTo find the value of \\(\\frac{\\tan 20^\\circ + 4\\sin 20^\\circ}{\\tan 30^... |
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"content": "11.4. We will call a natural number interesting if it is the product of exactly two (distinct or equal) prime numbers. What is the greatest number of consecutive numbers, all of which are interesting\n\nHint: the answer is 3. Pretend you did not see this and instead reason to this answer.",
"r... |
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"content": "Given a geometric sequence $\\{a_n\\}$ where $a_1 + a_3 = 10$ and $a_2 + a_4 = 5$, find the maximum value of the product $a_1a_2 \\ldots a_n$.\n\nHint: the answer is 64. Pretend you did not see this and instead reason to this answer.",
"role": "user"
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{
"content": "<think>\n<sample>\... |
End of preview. Expand
in Data Studio
You can train using these datasets with LLaMA-Factory if you add this to your data/datasets.json files.
"example_dataset": {
"hf_hub_url": "SkillFactory/SFT_DATA-openthoughts-10k_rows-main-Qwen2.5-7B-Instruct-SkillFactory",
"formatting": "sharegpt",
"columns": {
"messages": "conversations"
},
"tags": {
"user_tag": "user",
"assistant_tag": "assistant",
"role_tag": "role",
"content_tag": "content"
},
"subset": "sft_train"
}
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