conversations listlengths 2 2 | question stringlengths 13 7.47k ⌀ | source stringclasses 8
values | id int64 1 50k ⌀ | prompt listlengths 2 2 | answer stringlengths 1 532 ⌀ | prompt_type stringclasses 2
values | model_responses__example_annotation listlengths 2 2 | model_responses__example_annotation__finish_reason_length_flags listlengths 2 2 | model_responses__example_annotation__length_partial_responses listlengths 2 2 | prompt__example_annotation__metadata dict | model_responses__example_annotation__metadata dict |
|---|---|---|---|---|---|---|---|---|---|---|---|
[
{
"from": "user",
"value": "If a profit of 20 yuan is denoted as +20 yuan, then a loss of 30 yuan is denoted as ____ yuan."
},
{
"from": "assistant",
"value": "<think>\nOkay, let's see. The problem says that if a profit of 20 yuan is denoted as +20 yuan, then a loss of 30 yuan should be denoted ... | If a profit of 20 yuan is denoted as +20 yuan, then a loss of 30 yuan is denoted as ____ yuan. | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | -30 | rephrase | [
"Rewritten Question: If a profit of 20 yuan is +20 yuan, then a loss of 30 yuan is denoted as ____ yuan.\n\nStep 1: Understand that profit is represented with a positive sign.\nStep 2: Loss would be represented with a negative sign since it's the opposite of profit.\nStep 3: Apply this logic to the given loss amoun... | [
false,
false
] | [
"",
""
] | {
"api_url": "http://10.32.36.232:9080/v1",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 2,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vll... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
"n_responses": 2
} |
[
{
"from": "user",
"value": "Given a sequence {an} with the sum of its first n terms denoted as Sn, and it satisfies a1\\=1, anan+1\\=2n, find S20\\=（ ）\nA: 1024\nB: 1086\nC: 2048\nD: 3069"
},
{
"from": "assistant",
"value": "<think>\nAlright, let's tackle this problem step by step. So, we have ... | Given a sequence {an} with the sum of its first n terms denoted as Sn, and it satisfies a1\=1, anan+1\=2n, find S20\=（ ）
A: 1024
B: 1086
C: 2048
D: 3069 | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | D | rephrase | [
"Rewritten Question: Given \\(a_1 = 1\\) and \\(a_n a_{n+1} = 2^n\\), find \\(S_{20}\\).\n\nStep 1: Determine the pattern for \\(a_n\\).\n- From \\(a_1 a_2 = 2^1\\), we get \\(a_2 = \\frac{2}{a_1} = 2\\).\n- From \\(a_2 a_3 = 2^2\\), we get \\(a_3 = \\frac{4}{a_2} = 2\\).\n- From \\(a_3 a_4 = 2^3\\), we get \\(a_4 ... | [
false,
false
] | [
"",
""
] | {
"api_url": "http://10.32.36.232:9080/v1",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 2,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vll... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
"n_responses": 2
} |
[
{
"from": "user",
"value": "## Task 4 - 090614\n\nA working group received a sum of exactly $240 \\mathrm{M}$ as an award for very good performance.\n\nIf this money had been distributed evenly among all members of the working group, each member would have received an integer amount (in Marks). However, the... | ## Task 4 - 090614
A working group received a sum of exactly $240 \mathrm{M}$ as an award for very good performance.
If this money had been distributed evenly among all members of the working group, each member would have received an integer amount (in Marks). However, the members decided to spend the $240 \mathrm{M}... | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | 15 | rephrase | [
"Rewritten Question: A working group has \\( n \\) members. If $240 \\mathrm{M}$ is distributed evenly among all members, each gets an integer amount. Three members do not go on a hike, leaving \\( n-3 \\) members who each get $4 \\mathrm{M}$ more than the original average. Determine \\( n \\).\n\nStep 1: Let's den... | [
false,
false
] | [
"",
""
] | {
"api_url": "http://10.32.36.232:9080/v1",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 2,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vll... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
"n_responses": 2
} |
[
{
"from": "user",
"value": "Move the parentheses to make the expression give the correct answer, while also ensuring that each operation is performed in the correct order according to the order of operations. Expression: 8 / 2 * (2 + 2) - 1\nAnswer: 15\n\n#Rewritten Test#\n\nMove the parentheses and add add... | null | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | 15 | rephrase | [
"Rewritten Question: Adjust parentheses and add operations to 8 / 2 * (2 + 2) - 1 to get 15.\n\nStep 1: Evaluate original expression.\n- 8 / 2 = 4\n- 4 * (2 + 2) = 4 * 4 = 16\n- 16 - 1 = 15\n\nTo achieve 15 from the given expression, we need to adjust the operations and parentheses such that the intermediate steps ... | [
false,
false
] | [
"",
""
] | {
"api_url": "http://10.32.36.232:9080/v1",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 2,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vll... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
"n_responses": 2
} |
[
{
"from": "user",
"value": "Which of the following statements does not have a valid inverse statement?\n\nA: Vertical angles are equal.\n\nB: If $|a|=|b|$, then $a=b$.\n\nC: If two lines are parallel, then the alternate interior angles are equal.\n\nD: If $a^{2}=b^{2}$, then $a=b$."
},
{
"from": "as... | Which of the following statements does not have a valid inverse statement?
A: Vertical angles are equal.
B: If $|a|=|b|$, then $a=b$.
C: If two lines are parallel, then the alternate interior angles are equal.
D: If $a^{2}=b^{2}$, then $a=b$. | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | A | rephrase | [
"Rewritten Question: Identify which statement's inverse is invalid among:\n\nA: If vertical angles are formed, they are equal.\nB: If $|a|=|b|$, then $a=b$.\nC: If two lines are parallel, then the alternate interior angles are equal.\nD: If $a^{2}=b^{2}$, then $a=b$.\n\nStep 1: Determine the inverse for each statem... | [
false,
false
] | [
"",
""
] | {
"api_url": "http://10.32.36.232:9080/v1",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 2,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vll... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
"n_responses": 2
} |
[
{
"from": "user",
"value": "3.279. $\\left(1+\\cos \\frac{\\alpha-3 \\pi}{2}\\right) \\operatorname{ctg} \\frac{\\pi-\\alpha}{4}$. \n\n \n\nTranslate the above text into English, please retain the original text's line breaks and format, and output the translation result directly.\n\n3.279. $\\left(1+\\cos \... | 3.279. $\left(1+\cos \frac{\alpha-3 \pi}{2}\right) \operatorname{ctg} \frac{\pi-\alpha}{4}$.
Translate the above text into English, please retain the original text's line breaks and format, and output the translation result directly.
3.279. $\left(1+\cos \frac{\alpha-3 \pi}{2}\right) \operatorname{ctg} \frac{\pi-... | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | \cos \frac{\alpha}{2} | rephrase | [
"Rewritten Question: Simplify the expression $\\left(1+\\cos \\frac{\\alpha-3 \\pi}{2}\\right) \\operatorname{ctg} \\frac{\\pi-\\alpha}{4}$.\n\nTo simplify the given expression, we will break it down step by step:\n\n1. **Simplify the cosine term**: \n The argument of the cosine function is $\\frac{\\alpha - 3\\p... | [
false,
false
] | [
"",
""
] | {
"api_url": "http://10.32.36.232:9080/v1",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 2,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vll... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
"n_responses": 2
} |
[
{
"from": "user",
"value": "Let the universal set $U=\\{-2, -1, 0, 1, 2, 3\\}$, $A=\\{2, 3\\}$, $B=\\{-1, 0\\}$. Then $A \\cap (\\complement_U B)=$ （ ）\nA: $\\{0, 2, 3\\}$\nB: $\\{-2, 1, 2, 3\\}$\nC: $\\{-1, 0, 2, 3\\}$\nD: $\\{2, 3\\}$"
},
{
"from": "assistant",
"value": "<think>\nAlright, let... | Let the universal set $U=\{-2, -1, 0, 1, 2, 3\}$, $A=\{2, 3\}$, $B=\{-1, 0\}$. Then $A \cap (\complement_U B)=$ （ ）
A: $\{0, 2, 3\}$
B: $\{-2, 1, 2, 3\}$
C: $\{-1, 0, 2, 3\}$
D: $\{2, 3\}$ | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | D | rephrase | [
"Rewritten Question: Given $U=\\{-2, -1, 0, 1, 2, 3\\}$, $A=\\{2, 3\\}$, $B=\\{-1, 0\\}$, find $A \\cap (\\complement_U B)$.\n\nStep 1: Find $\\complement_U B$.\nSince $B = \\{-1, 0\\}$, $\\complement_U B$ consists of all elements in $U$ that are not in $B$. Thus, $\\complement_U B = \\{-2, 1, 2, 3\\}$.\n\nStep 2: ... | [
false,
false
] | [
"",
""
] | {
"api_url": "http://10.32.36.232:9080/v1",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 2,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vll... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
"n_responses": 2
} |
[
{
"from": "user",
"value": "## Task B-2.5.\n\nIn triangle $A B C$, point $D$ is on side $\\overline{A B}$ such that $|A D|:|D B|=3: 4$. On segment $\\overline{C D}$, point $E$ is such that $|C E|:|E D|=3: 4$. A line parallel to $A E$ passes through point $D$ and intersects $\\overline{B C}$ at point $G$. De... | ## Task B-2.5.
In triangle $A B C$, point $D$ is on side $\overline{A B}$ such that $|A D|:|D B|=3: 4$. On segment $\overline{C D}$, point $E$ is such that $|C E|:|E D|=3: 4$. A line parallel to $A E$ passes through point $D$ and intersects $\overline{B C}$ at point $G$. Determine the ratio $|C G|:|G B|$. | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | \dfrac{21}{16} | rephrase | [
"Rewritten Question: In triangle \\(ABC\\), point \\(D\\) divides \\(\\overline{AB}\\) in the ratio \\(3:4\\) and point \\(E\\) divides \\(\\overline{CD}\\) in the ratio \\(3:4\\). A line parallel to \\(AE\\) passing through \\(D\\) intersects \\(\\overline{BC}\\) at \\(G\\). Find the ratio \\(|CG|:|GB|\\).\n\nStep... | [
false,
false
] | [
"",
""
] | {
"api_url": "http://10.32.36.232:9080/v1",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 2,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vll... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
"n_responses": 2
} |
[
{
"from": "user",
"value": "Which of the following statements is correct? ( ) \n① The larger the linear correlation coefficient $r$, the stronger the linear correlation between two variables; conversely, the weaker the linear correlation; \n② The smaller the sum of squared residuals of a model, the bette... | Which of the following statements is correct? ( )
① The larger the linear correlation coefficient $r$, the stronger the linear correlation between two variables; conversely, the weaker the linear correlation;
② The smaller the sum of squared residuals of a model, the better the fitting effect;
③ Using the correl... | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | B | rephrase | [
"Rewritten Question: Determine which statements about linear correlation, sum of squared residuals, correlation index \\( R^2 \\), and random error are correct.\n\nStep 1: Evaluate statement ①.\n- Statement ① says that the larger the linear correlation coefficient \\( r \\), the stronger the linear correlation betw... | [
false,
false
] | [
"",
""
] | {
"api_url": "http://10.32.36.232:9080/v1",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 2,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vll... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
"n_responses": 2
} |
[
{
"from": "user",
"value": "4.3.5 ** If $a, b, c, x, y$ and $z$ are all real numbers, and\n$$\na^{2}+b^{2}+c^{2}=25, x^{2}+y^{2}+z^{2}=36, a x+b y+c z=30 \\text{. }\n$$\n\nFind the value of the expression $\\frac{a+b+c}{x+y+z}$."
},
{
"from": "assistant",
"value": "<think>\nAlright, let me try t... | 4.3.5 ** If $a, b, c, x, y$ and $z$ are all real numbers, and
$$
a^{2}+b^{2}+c^{2}=25, x^{2}+y^{2}+z^{2}=36, a x+b y+c z=30 \text{. }
$$
Find the value of the expression $\frac{a+b+c}{x+y+z}$. | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | \dfrac{5}{6} | rephrase | [
"Rewritten Question: Given \\(a^2 + b^2 + c^2 = 25\\), \\(x^2 + y^2 + z^2 = 36\\), and \\(ax + by + cz = 30\\), find \\(\\frac{a+b+c}{x+y+z}\\).\n\nTo solve this problem, let's start by considering the given equations:\n\n1. \\(a^2 + b^2 + c^2 = 25\\),\n2. \\(x^2 + y^2 + z^2 = 36\\),\n3. \\(ax + by + cz = 30\\).\n\... | [
false,
false
] | [
"",
""
] | {
"api_url": "http://10.32.36.232:9080/v1",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 2,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vll... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
"n_responses": 2
} |
[
{
"from": "user",
"value": "The equation of the function $y=\\log_{2}(2x+1)$ after being translated 1 unit to the right and having its x-coordinate stretched to twice its original length is ( )\n\nA: $y=\\log_{2}x$\n\nB: $y=\\log_{2}(2x-1)$\n\nC: $y=\\log_{2}(x+1)$\n\nD: $y=\\log_{2}(x-1)$"
},
{
"f... | The equation of the function $y=\log_{2}(2x+1)$ after being translated 1 unit to the right and having its x-coordinate stretched to twice its original length is ( )
A: $y=\log_{2}x$
B: $y=\log_{2}(2x-1)$
C: $y=\log_{2}(x+1)$
D: $y=\log_{2}(x-1)$ | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | D | rephrase | [
"Rewritten Question: Find the transformed equation of \\( y = \\log_{2}(2x + 1) \\) after a 1-unit translation to the right and stretching the x-coordinate to twice its original length.\n\nStep-by-step solution:\n\n1. **Translation 1 Unit to the Right**: Translating a function \\( f(x) \\) to the right by 1 unit me... | [
false,
false
] | [
"",
""
] | {
"api_url": "http://10.32.36.232:9080/v1",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 2,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vll... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
"n_responses": 2
} |
[
{
"from": "user",
"value": "Given a sequence $\\{ a\\_n\\}$ with its first $n$ terms sum $S\\_n$, it satisfies the equation $a\\_n + 2S\\_n \\cdot S_{n-1} = 0 (n \\geqslant 2)$. If $S\\_5 = \\frac{1}{11}$, then $a\\_1 = (\\quad \\quad)$."
},
{
"from": "assistant",
"value": "<think>Okay, so I nee... | Given a sequence $\{ a\_n\}$ with its first $n$ terms sum $S\_n$, it satisfies the equation $a\_n + 2S\_n \cdot S_{n-1} = 0 (n \geqslant 2)$. If $S\_5 = \frac{1}{11}$, then $a\_1 = (\quad \quad)$. | null | null | [
{
"content": "You answer questions by saying \"Rewritten Question: \" then rewriting the question to only contain what is needed to solve it and then think step by step and then you give your final answer in \"<answer>\n(your answer)\n</answer>\". You always end with </answer>, you never ever end without giving... | \dfrac{1}{3} | rephrase | [
"Rewritten Question: Given \\(a_n + 2S_n \\cdot S_{n-1} = 0\\) for \\(n \\geq 2\\) and \\(S_5 = \\frac{1}{11}\\), find \\(a_1\\).\n\nStep-by-step solution:\n1. We start by noting that \\(S_n = S_{n-1} + a_n\\). Therefore, we can rewrite the given equation using this relation.\n2. For \\(n \\geq 2\\), the equation b... | [
false,
false
] | [
"",
""
] | {
"api_url": "http://10.32.36.232:9080/v1",
"backend": "litellm",
"chat_template_applied": true,
"generation_params": {
"chat_template_applied": true,
"max_tokens": 4096,
"n": 2,
"repetition_penalty": 1.1,
"temperature": 0.7,
"top_k": 20,
"top_p": 0.8
},
"model_name": "hosted_vll... | {
"backend": "litellm",
"model_name": "hosted_vllm/Qwen/Qwen2.5-7B-Instruct",
"n_responses": 2
} |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 3