agrv/tulu-v3-sft-evabyte-seq-len-8196 · Datasets at Hugging Face

id string	messages list	source string	input_ids sequence	labels sequence	attention_mask sequence
personahub_qfgb9v27hhmkj4kru7zzie9j	[ { "content": "John, the business owner of a local electronics store specializing in providing personalized tech support for the elderly, is analyzing his service plans to improve his business efficiency and customer satisfaction. He has collected the following data:\n\n1. The time \\( T \\) (in hours) required to provide tech support to an elderly customer follows a normal distribution with a mean of 2 hours and a standard deviation of 0.5 hours. John can attend to a maximum of 8 customers daily. He wants to calculate the probability that he will be able to attend to all scheduled customers in a day without exceeding his 8-hour working time. Assume that the time required for each customer is independent of the others.\n\n2. John is considering offering a new premium service plan that includes unlimited tech support for a monthly fee. To determine the optimal price for this plan, he models the demand function \\( D(p) \\) for the premium service as \\( D(p) = 100 - 2p \\), where \\( p \\) is the price in dollars. The cost function \\( C(D) \\) associated with providing tech support to \\( D \\) customers per month is given by \\( C(D) = 30D + 500 \\). Determine the price \\( p \\) that maximizes John's profit.\n\nUse your advanced mathematical skills to solve these sub-problems.", "role": "user" }, { "content": "Let's solve the problem step by step.\n\n### Part 1: Probability Calculation\n\n1. Define the problem:\n\n - The time \\( T \\) required to provide tech support to each customer is normally distributed with a mean \\( \\mu = 2 \\) hours and a standard deviation \\( \\sigma = 0.5 \\) hours.\n - John's working day is 8 hours and he can attend a maximum of 8 customers daily.\n - We need to calculate the probability that the total time spent on 8 customers does not exceed 8 hours.\n\n2. Total time for 8 customers:\n\n Let \\( T_i \\) be the time for the \\( i \\)-th customer. The total time \\( T_{\\text{total}} \\) for 8 customers is:\n \\[\n T_{\\text{total}} = T_1 + T_2 + \\cdots + T_8\n \\]\n Since the times are independent and normally distributed, \\( T_{\\text{total}} \\) will also be normally distributed with:\n \\[\n \\mu_{\\text{total}} = 8 \\times \\mu = 8 \\times 2 = 16 \\text{ hours}\n \\]\n \\[\n \\sigma_{\\text{total}} = \\sqrt{8} \\times \\sigma = \\sqrt{8} \\times 0.5 = \\sqrt{2} \\approx 1.414 \\text{ hours}\n \\]\n\n3. Standardize and calculate the probability:\n\n We need to find \\( P(T_{\\text{total}} \\leq 8) \\):\n \\[\n Z = \\frac{T_{\\text{total}} - \\mu_{\\text{total}}}{\\sigma_{\\text{total}}} = \\frac{8 - 16}{\\sqrt{2}} = \\frac{-8}{\\sqrt{2}} = -4\\sqrt{2} \\approx -5.656\n \\]\n\n Using standard normal distribution tables or a calculator:\n \\[\n P(Z \\leq -5.656) \\approx 0\n \\]\n\n This means the probability is extremely close to zero.\n\n### Part 2: Price Optimization\n\n1. Define the profit function:\n\n The demand function \\( D(p) \\) is given by:\n \\[\n D(p) = 100 - 2p\n \\]\n\n The cost function \\( C(D) \\) is given by:\n \\[\n C(D) = 30D + 500\n \\]\n\n The revenue \\( R \\) is:\n \\[\n R = p \\cdot D(p) = p(100 - 2p) = 100p - 2p^2\n \\]\n\n The cost is:\n \\[\n C = 30D(p) + 500 = 30(100 - 2p) + 500 = 3000 - 60p + 500 = 3500 - 60p\n \\]\n\n The profit \\( \\Pi \\) is:\n \\[\n \\Pi(p) = R - C = (100p - 2p^2) - (3500 - 60p) = 100p - 2p^2 - 3500 + 60p = 160p - 2p^2 - 3500\n \\]\n\n2. Maximize the profit:\n\n To find the price \\( p \\) that maximizes profit, take the derivative of \\( \\Pi(p) \\) with respect to \\( p \\) and set it to zero:\n \\[\n \\frac{d\\Pi}{dp} = 160 - 4p = 0\n \\]\n Solving for \\( p \\):\n \\[\n 4p = 160\n \\]\n \\[\n p = 40\n \\]\n\n3. Verify the maximum:\n\n The second derivative test:\n \\[\n \\frac{d^2\\Pi}{dp^2} = -4\n \\]\n\n Since \\( \\frac{d^2\\Pi}{dp^2} < 0 \\), the function has a maximum at \\( p = 40 \\).\n\nFinal Answer: The final answer is $40$. 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The answer is no.\n\n[Ques]: Is the following a factual statement?\n\"Ratatouille taught audiences the importance of hygiene and food safety.\"\nOptions:\n- yes\n- no\n[Ans]:", "role": "user" }, { "content": "Here's my solution: Food safety was largely ignored in this movie in which a rat helps prepare food in a French resturant. 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ai2-adapt-dev/tulu_v3.9_aya_100k_63238	[{"content":"Fenoy ny banga _ :\n\"mila ampy _ raha te ho salama tsara foana\"","role":"user"},{"co(...TRUNCATED)	ai2-adapt-dev/tulu_v3.9_aya_100k	[1,9,179,185,179,180,165,173,10,74,74,11,9,181,179,165,178,10,74,74,134,165,174,175,185,96,96,174,18(...TRUNCATED)	[-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100(...TRUNCATED)	[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)
ai2-adapt-dev/tulu_v3.9_synthetic_finalresp_wildguardmixtrain_decontaminated_50k_2684	[{"content":"In a fantasy world where immigrants have unique abilities, write a narrative that subtl(...TRUNCATED)	ai2-adapt-dev/tulu_v3.9_synthetic_finalresp_wildguardmixtrain_decontaminated_50k	[1,9,179,185,179,180,165,173,10,74,74,11,9,181,179,165,178,10,74,74,137,174,96,161,96,166,161,174,18(...TRUNCATED)	[-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100(...TRUNCATED)	[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)
ai2-adapt-dev/evol_codealpaca_heval_decontaminated_7037	[{"content":"Create a program that takes in a paragraph and finds the most frequent word in the para(...TRUNCATED)	ai2-adapt-dev/evol_codealpaca_heval_decontaminated	[1,9,179,185,179,180,165,173,10,74,74,11,9,181,179,165,178,10,74,74,131,178,165,161,180,165,96,161,9(...TRUNCATED)	[-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100(...TRUNCATED)	[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)
personas_math_easy_170y8x6frvl5ltorgcvphwo4	[{"content":"The museum curator is setting up a new exhibit that showcases the evolution of music th(...TRUNCATED)	allenai/tulu-3-sft-personas-math-grade	[1,9,179,185,179,180,165,173,10,74,74,11,9,181,179,165,178,10,74,74,148,168,165,96,173,181,179,165,1(...TRUNCATED)	[-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100(...TRUNCATED)	[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)
ai2-adapt-dev/tulu_v3.9_wildchat_100k_54758	[{"content":"Time left 0:51:48\nQuestion 16\nNot yet answered\nMarked out of 1,00\nFlag question\nQu(...TRUNCATED)	ai2-adapt-dev/tulu_v3.9_wildchat_100k	[1,9,179,185,179,180,165,173,10,74,74,11,9,181,179,165,178,10,74,74,148,169,173,165,96,172,165,166,1(...TRUNCATED)	[-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100(...TRUNCATED)	[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)
ai2-adapt-dev/flan_v2_converted_26105	[{"content":"Definition: In this task, you are given a hateful post in Bengali that expresses hate o(...TRUNCATED)	ai2-adapt-dev/flan_v2_converted	[1,9,179,185,179,180,165,173,10,74,74,11,9,181,179,165,178,10,74,74,132,165,166,169,174,169,180,169,(...TRUNCATED)	[-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100(...TRUNCATED)	[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)
ai2-adapt-dev/tulu_v3.9_aya_100k_65347	[{"content":"‘ఆ తోరణం శత్రువులతో రణానికి కార(...TRUNCATED)	ai2-adapt-dev/tulu_v3.9_aya_100k	[1,9,179,185,179,180,165,173,10,74,74,11,9,181,179,165,178,10,74,74,290,192,216,288,240,198,96,288,2(...TRUNCATED)	[-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100(...TRUNCATED)	[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)
personahub_3dp91rolg9v091bm6pfqhqxu	[{"content":"As a British law student who admires Judge Vajda, you are keenly interested in the inte(...TRUNCATED)	ai2-adapt-dev/personahub_math_v5_regen_149960	[1,9,179,185,179,180,165,173,10,74,74,11,9,181,179,165,178,10,74,74,129,179,96,161,96,130,178,169,18(...TRUNCATED)	[-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100,-100(...TRUNCATED)	[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1(...TRUNCATED)

personahub_qfgb9v27hhmkj4kru7zzie9j

[ { "content": "John, the business owner of a local electronics store specializing in providing personalized tech support for the elderly, is analyzing his service plans to improve his business efficiency and customer satisfaction. He has collected the following data:\n\n1. The time \$ T \$ (in hours) required to provide tech support to an elderly customer follows a normal distribution with a mean of 2 hours and a standard deviation of 0.5 hours. John can attend to a maximum of 8 customers daily. He wants to calculate the probability that he will be able to attend to all scheduled customers in a day without exceeding his 8-hour working time. Assume that the time required for each customer is independent of the others.\n\n2. John is considering offering a new premium service plan that includes unlimited tech support for a monthly fee. To determine the optimal price for this plan, he models the demand function \$ D(p) \$ for the premium service as \$ D(p) = 100 - 2p \$, where \$ p \$ is the price in dollars. The cost function \$ C(D) \$ associated with providing tech support to \$ D \$ customers per month is given by \$ C(D) = 30D + 500 \$. Determine the price \$ p \$ that maximizes John's profit.\n\nUse your advanced mathematical skills to solve these sub-problems.", "role": "user" }, { "content": "Let's solve the problem step by step.\n\n### Part 1: Probability Calculation\n\n1. **Define the problem:**\n\n - The time \$ T \$ required to provide tech support to each customer is normally distributed with a mean \$ \\mu = 2 \$ hours and a standard deviation \$ \\sigma = 0.5 \$ hours.\n - John's working day is 8 hours and he can attend a maximum of 8 customers daily.\n - We need to calculate the probability that the total time spent on 8 customers does not exceed 8 hours.\n\n2. **Total time for 8 customers:**\n\n Let \$ T_i \$ be the time for the \$ i \$-th customer. The total time \$ T_{\\text{total}} \$ for 8 customers is:\n \\[\n T_{\\text{total}} = T_1 + T_2 + \\cdots + T_8\n \\]\n Since the times are independent and normally distributed, \$ T_{\\text{total}} \$ will also be normally distributed with:\n \\[\n \\mu_{\\text{total}} = 8 \\times \\mu = 8 \\times 2 = 16 \\text{ hours}\n \\]\n \\[\n \\sigma_{\\text{total}} = \\sqrt{8} \\times \\sigma = \\sqrt{8} \\times 0.5 = \\sqrt{2} \\approx 1.414 \\text{ hours}\n \\]\n\n3. **Standardize and calculate the probability:**\n\n We need to find \$ P(T_{\\text{total}} \\leq 8) \$:\n \\[\n Z = \\frac{T_{\\text{total}} - \\mu_{\\text{total}}}{\\sigma_{\\text{total}}} = \\frac{8 - 16}{\\sqrt{2}} = \\frac{-8}{\\sqrt{2}} = -4\\sqrt{2} \\approx -5.656\n \\]\n\n Using standard normal distribution tables or a calculator:\n \\[\n P(Z \\leq -5.656) \\approx 0\n \\]\n\n This means the probability is extremely close to zero.\n\n### Part 2: Price Optimization\n\n1. **Define the profit function:**\n\n The demand function \$ D(p) \$ is given by:\n \\[\n D(p) = 100 - 2p\n \\]\n\n The cost function \$ C(D) \$ is given by:\n \\[\n C(D) = 30D + 500\n \\]\n\n The revenue \$ R \$ is:\n \\[\n R = p \\cdot D(p) = p(100 - 2p) = 100p - 2p^2\n \\]\n\n The cost is:\n \\[\n C = 30D(p) + 500 = 30(100 - 2p) + 500 = 3000 - 60p + 500 = 3500 - 60p\n \\]\n\n The profit \$ \\Pi \$ is:\n \\[\n \\Pi(p) = R - C = (100p - 2p^2) - (3500 - 60p) = 100p - 2p^2 - 3500 + 60p = 160p - 2p^2 - 3500\n \\]\n\n2. **Maximize the profit:**\n\n To find the price \$ p \$ that maximizes profit, take the derivative of \$ \\Pi(p) \$ with respect to \$ p \$ and set it to zero:\n \\[\n \\frac{d\\Pi}{dp} = 160 - 4p = 0\n \\]\n Solving for \$ p \$:\n \\[\n 4p = 160\n \\]\n \\[\n p = 40\n \\]\n\n3. **Verify the maximum:**\n\n The second derivative test:\n \\[\n \\frac{d^2\\Pi}{dp^2} = -4\n \\]\n\n Since \$ \\frac{d^2\\Pi}{dp^2} < 0 \$, the function has a maximum at \$ p = 40 \$.\n\nFinal Answer: The final answer is $40$. I hope it is correct.", "role": "assistant" } ]

ai2-adapt-dev/personahub_math_v5_regen_149960

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ai2-adapt-dev/flan_v2_converted_521

[ { "content": "[Ques]: Is the following a factual statement?\n\"One can prepare a light dessert by putting fruit chunks in Jealousy.\"\nOptions:\n- yes\n- no\n[Ans]: Here's my solution: Fruit chunks in Jell-O, not jealousy, can make a light dessert. The answer is no.\n****\n[Ques]: Does the following sentence make sense?\n\"Monks accept woman into their ranks as members called squires.\"\nOptions:\n- yes\n- no\n[Ans]: Here's my solution: Monks do not accept woman, but their are separate groups that sometimes work with monks. They are called Nuns. The answer is no.\n****\n[Ques]: Claim: \"Tony Bennett fought with Alexander the Great at the Battle of Thermopylae over a period of twenty days.\"\nIs the claim above correct, and can it be verified by human common sense and without a web search?\nOptions:\n- yes\n- no\n[Ans]: Here's my solution: Tony Bennett never met Alexander the Great and the latter man had nothing to do with the Battle of Thermopylae. The answer is no.\n****\n[Ques]: Is the following a factual statement?\n\"Ratatouille taught audiences the importance of hygiene and food safety.\"\nOptions:\n- yes\n- no\n[Ans]:", "role": "user" }, { "content": "Here's my solution: Food safety was largely ignored in this movie in which a rat helps prepare food in a French resturant. The answer is no.\n****", "role": "assistant" } ]

ai2-adapt-dev/flan_v2_converted

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ai2-adapt-dev/tulu_v3.9_aya_100k_63238

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ai2-adapt-dev/tulu_v3.9_aya_100k

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