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personahub_czhghbrjci9n6zu70cpphiby
6c043d4c19832543ca4298f38b5eee07a789a42b5e915feda3ddf317aa6c2a99a98c531b21188c69d666f250a5ebb73429536e3090996581917c9bbdda042d4f
[ { "role": "user", "content": "Write a python function to find the longest consecutive sequence of positive integers in a given list. The function should take a list of integers as input and return the length of the longest consecutive sequence. The integers in the list can be both positive and negative, but...
ai2-adapt-dev/numinamath_tir_math_decontaminated_60979
04012d568aceb80c8a25a0f7304d79d6c7bec5abab48fb8548949671f17e0ce2862bd30e5a6cdbb0caf36bd7543cddb218a98da9b63f01c513c8185554aec04d
[ { "role": "user", "content": "Prove that\n\n$$\n\\binom{n+t}{n}-\\binom{n}{1}\\binom{n+t-1}{n}+\\binom{n}{2}\\binom{n+t-2}{n}+\\cdots+(-1)^{n}\\binom{n}{n}\\binom{t}{n}=1\n$$\n\nfor any $t$, where $n$ is a positive integer.\n\nHere,\n\n$$\n\\binom{t}{n}=\\frac{t(t-1)(t-2) \\ldots(t-n+1)}{1 \\cdot 2 \\cdot 3...
ai2-adapt-dev/numinamath_tir_math_decontaminated_28133
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[ { "role": "user", "content": "Six nests are placed in a circle and in each of the nests there is a bird. Every night each bird moves to a neighboring nest. Is it possible for all the birds to end up in the same nest after a finite number of nights?" }, { "role": "assistant", "content": "To deter...
ai2-adapt-dev/numinamath_tir_math_decontaminated_24669
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[ { "role": "user", "content": "Let $f(x)=x^3+3$ and $g(x) = 2x^2 + 2x +1$. What is $g(f(-2))$?" }, { "role": "assistant", "content": "To solve for \\( g(f(-2)) \\), we'll follow these steps:\n\n1. Compute \\( f(-2) \\).\n2. Use the result from step 1 to compute \\( g(f(-2)) \\).\n\nHere's the det...
ai2-adapt-dev/numinamath_tir_math_decontaminated_62903
f30350778d440f9262826507de10e4613217fff271a0b17ae1a4c9186ea432886cf847f7d11ba8a54dcf9be075fe42fc627a3da25988ca391811ee97e3d9e0b0
[ { "role": "user", "content": "Given \\(\\triangle ABC\\) with \\(O\\) as its circumcenter, if \\(\\overrightarrow{AO} = \\overrightarrow{AB} + 2\\overrightarrow{AC}\\), then find the value of \\(\\sin \\angle BAC\\)." }, { "role": "assistant", "content": "To solve this problem, we can start by u...
ai2-adapt-dev/numinamath_tir_math_decontaminated_25254
46b4ad73ad2b96cd40c0fb46986ce3df5c83d62808f69984d13af896a7f77e3c1ef1e0420f335195cd7d4faeed7df2da33daca982fbad6cdcec66bbcd0024fa0
[ { "role": "user", "content": "Amber worked for 12 hours last weekend. Armand worked one-third as long and Ella worked twice as long. How many hours did the 3 people work in total?" }, { "role": "assistant", "content": "To determine the total number of hours Amber, Armand, and Ella worked, let's ...
personahub_5ib97n0p9lyd33vx1tk2rxc1
08fa1e8ba7cd65af2b5057d3b1e791bc0ddaa39f489b5ca691889f4c121a13fbc86dc31e54e85212cdfc4780b1d9c911045bf1fe94ecdaebaa12a2d42ccf4555
[ { "role": "user", "content": "Write a python function to calculate the average speed of a runner given the total distance they ran and the total time they took. I'm not too familiar with track and field, but I guess it's like calculating the speed of a soccer player on the field. The function should take tw...
personahub_1v365oejy1ilm5vqlggr3751
03d001d5fe7fe64c03555b32262498d9a53ae5d9ee4e2cc8fb99d097b53349b9a452ed150ebc8285bf01430654360513769eacf8c0268c679d4e4cdde1f2219b
[ { "role": "user", "content": "Write a python function to take a list of integers representing the scores of Kennesaw State Owls men's basketball team in their recent games and return a new list with only the scores that were above the average score. The function should be named `above_average_scores`. \n\nT...
ai2-adapt-dev/numinamath_tir_math_decontaminated_22469
d5d9b053ef0850159c898fcbfb2b3ea4873e84acae6b291c4fe2136a88f58c139ff9001000521a70a0f813c3921ee973695945d7d44118379c01b1f7d0ef5479
[ { "role": "user", "content": "How many positive integers, including $1,$ are divisors of both $40$ and $72?$" }, { "role": "assistant", "content": "To determine how many positive integers are divisors of both \\(40\\) and \\(72\\), we can use the concept of the greatest common divisor (GCD). The...
personahub_plkc80alavt6rltxf9li72sb
359bb8ae35c052ed98ba0c3aae401949f367a1e023207ab79ec881458dba38f9b37f271da231d277cd9aad08e6c3b0c396d1ed0c070aed966b024cf87f346125
[ { "role": "user", "content": "Write a python function to calculate the Value at Risk (VaR) for a given investment portfolio using the historical method. The function should take two inputs: a list of daily returns of the portfolio (as floats) and a confidence level (as a float, e.g., 0.95 for 95% confidence...
ai2-adapt-dev/evol_codealpaca_heval_decontaminated_8644
5239253ace1a53974c038eb55610f3e4b531f9ce98be40e6f36ecc245ab38fc9b783db1bb7ec67205fbb504310954358d538a4d1f42c856534090972b98c6cdb
[ { "role": "user", "content": "I'm new to MVC (and ASP.Net routing). I'm trying to map `*.aspx` to a controller called `PageController`. \n\n\nroutes.MapRoute(\n \"Page\",\n \"{name}.aspx\",\n new { controller = \"Page\", action = \"Index\", id = \"\" }\n);\n\n\n\nWouldn't the code above map *.aspx t...
ai2-adapt-dev/numinamath_tir_math_decontaminated_60436
d31f2434efb62b7684775a02cc80bb2785f7d4cb7b47e8b12d3bf0e0ca24c7995c89e22494a98a95431d285d784bc230119514b3a7b9f7861e1e564f64c65ca9
[ { "role": "user", "content": "Given that $x=3$ is an extremum point of the function $y=a\\ln x+x^{2}-10x$, then the real number $a=$ \\_\\_\\_\\_\\_\\_." }, { "role": "assistant", "content": "To solve for the value of \\(a\\) such that \\(x = 3\\) is an extremum point of the function \\(y = a \\...
personahub_6mh8dald8s7k8mtp0r89vr2d
fc57a91db762ae3aaf5af0803c4c96ea178c6ee9d89445fa450224d6fb3f5818c18b73e5509a3e433a71c1df8c7ee1399ab813b846ac72dc637823cd85f53606
[ { "role": "user", "content": "A philanthropy officer is evaluating two initiatives aimed at the development of women's skills in technology and entrepreneurship. Initiative A focuses on technology skills and has shown a growth in participation that can be modeled by the polynomial equation \\( P(t) = t^3 - ...
ai2-adapt-dev/numinamath_tir_math_decontaminated_57859
3334be4861adcca94a7e0999444523805636b46078bafe63e71f2d2053e532655727177a22b80406248a9ece81550af534870446eac7f19317ffc4fa827461be
[ { "role": "user", "content": "Calculate the indefinite integral:\n\n$$\n\\int(3x + 4)e^{3x} \\, dx\n$$" }, { "role": "assistant", "content": "To solve the indefinite integral \\(\\int (3x + 4)e^{3x} \\, dx\\), we can use integration by parts. The formula for integration by parts is:\n\n$$\n\\int...
personahub_anxbirnzrlhb4qdhv7hd0dcu
68440f170021d462a245a0b041509be9867fc5dc4448b74f3e824dff7e76e1c798f9df123121bb495043f828d4c616ffc0da581b926f3e8d3e8837ba617dbb65
[ { "role": "user", "content": "Write a python function to extract and store all unique words from a list of news headlines about César. Each headline is provided as a string in a list. The function should return a sorted list of unique words in lowercase. Assume that words are separated by spaces, and punctu...
ai2-adapt-dev/evol_codealpaca_heval_decontaminated_11797
609cec73a0b734183701d41ed3f0a67486c33b644f04b8e862ab84130c84a582351e16dfbc38dd936b52717b9325564fe88e7693f44b3e79183500d04d7af859
[ { "role": "user", "content": "Without using any helper or library methods, create a program that decipher the supplied JSON object, modifies the numeric value of a given key by amalgamating the integer values of 2 additional keys present. Also, create a function to validate the JSON structure before modific...
personahub_vc7ujcjo25gbi2fk1bw60qjn
db297629751e77b231d94a58985e5d7f24ffc806ac0f56070bb0910dbc5bd29f755e9e47958a551a9e63af0e02385df407d247045ce445d8b568350a14cc12f5
[ { "role": "user", "content": "Write a python function to calculate the average number of patients treated per day by a trauma nurse over a given period. The function should take a list of integers as input, where each integer represents the number of patients treated on a particular day. The function should...
ai2-adapt-dev/numinamath_tir_math_decontaminated_57062
846605bbdca1a643e28bf342e6b213d0adff106ac70d561de623e92ad6820a09647d06cccac11d135fedfff538ffe725b174d6fe2d84a9f037bc555a8c21648c
[ { "role": "user", "content": "The sides $PQ$ and $PR$ of triangle $PQR$ are respectively of lengths $4$ inches, and $7$ inches. The median $PM$ is $3\\frac{1}{2}$ inches. Then $QR$, in inches, is:\n$\\textbf{(A) }6\\qquad\\textbf{(B) }7\\qquad\\textbf{(C) }8\\qquad\\textbf{(D) }9\\qquad \\textbf{(E) }10$" ...
personahub_e8kdhronn0rxwxnkbo0zwpnl
7261eb3681e76cfd0ece9b4fc238dd710f1b25a2126f02e403be62ca7d1d9709847851744ac3193632a0faa1de640c98d6e3c965cc0aa99ebc6e96cc88e93b16
[ { "role": "user", "content": "A skeptical politician is analyzing an epidemiologist's prediction model regarding the spread of a disease. The epidemiologist uses a quadratic equation to model the number of cases, C, in terms of time, t, in weeks: \\(C(t) = at^2 + bt + c\\). The politician argues that the pr...
ai2-adapt-dev/evol_codealpaca_heval_decontaminated_4521
c16385b78e5cb0f6b74ecaceac1f5f0d69862b9f3ed2898c65ff818f5caf67e82f625ab93337ca66e14312434627d678dde7153c7287240d1b1cf8a37cdf0fd3
[ { "role": "user", "content": "Craft a pseudocode delineating the operational mechanism of an A* search algorithm, whilst incorporating heuristic estimation of goal proximity and lowest-cost determination within node exploration." }, { "role": "assistant", "content": "The A* search algorithm is a...
personahub_dif9r29sbu8veek30qodsdcj
4f4565b74f655ee742682efddddb6ed8b5843a3848342d5cb1a595b777373273dfe5b127b43987d13e20d82d35beffd7004ebead527ca36204dc95be569f6a4c
[ { "role": "user", "content": "In tribute to their great-grandparents named \"Si,\" whose names mean \"four\" in Chinese, a Chinese-American family decided to create a special garden shaped like a quadratic plot. The garden's length is \"Si\" feet longer than its width. The area of the garden is 60 square fe...
personahub_50crp0am5rx1vb1h1tqk5o51
872d25c3ac8920b9b29a7c946ac99b9dec8f47adc33b0d8332430ec3526204e26bd797f0e339b5d37a7cead9c97cd6c3fade34e4c1b30bfca13a7ce156087c82
[ { "role": "user", "content": "Write a Python function to calculate the average temperature anomaly from a list of temperature anomalies for a given year. The input to the function should be a list of dictionaries, where each dictionary contains two keys: \"year\" (an integer representing the year) and \"ano...
ai2-adapt-dev/numinamath_tir_math_decontaminated_36983
83470d54d2024a815737bd7966cdc6631e8f669db2a7be673da3a09dadb0a24fc6e71385b0c889755318079bf6b8a0f46dd9d8531502b116ceda5b039a0598e3
[ { "role": "user", "content": "Given a cube \\( ABCD-A_{1}B_{1}C_{1}D_{1} \\), find the value of \\( \\cos \\theta \\), where \\( \\theta \\) is the angle between the planes \\( AB_{1}D_{1} \\) and \\( A_{1}BD \\), with \\( 0^{\\circ} \\leq \\theta \\leq 90^{\\circ} \\)." }, { "role": "assistant", ...
personahub_cr94rexwpki1fq5mq9925ycg
06b0ee09ea3d5aa6c45434680923c68f37155855319ed7a5d01ce521383980657e3002dfbbeebdbae073868f1313c1814cd6b6a9ff7ca8e59ecbdc67e7a9d749
[ { "role": "user", "content": "Write a python function to help me create a unique hashtag for promoting my niece's music on social media. The function should take in a list of words related to her music and a maximum length for the hashtag. The function should return a string that combines the words into a s...
personahub_l0zgvn6c6pijfb3gyk8r0fec
673677c36793af9b7d236927ecec060f3953748aa16e7e51bd023c890e6aa29fb1537f1d3786a1f54fcb00109b914fc05f1218f246a4645d36ea1768823b27d6
[ { "role": "user", "content": "As a mother who advocates for regular health check-ups, you have gathered data on the number of check-ups your family attends over the course of a year. You have observed that the total number of check-ups, C, is related to the number of months, m, by the quadratic equation C =...
personahub_i792oj49qirm8a66ml6hobiv
87bbd7df6940fd9d2683fd9d85a994b6913f194514c63731264a8219e6b473b3734bc329ebba97ad07e3774340bb516f5125723b01f3bdefd467bbc95df98ab0
[ { "role": "user", "content": "Write a python function to calculate the average of a list of numbers, but with a twist: the function should ignore the highest and lowest values in the list when computing the average. If there are multiple instances of the highest or lowest values, only remove one instance of...
personahub_ck5lld09h2cte5wvas4l7pos
ba2beb18e76ab42248c53c43e345f86898611c696684a84d8ed75d90b89f323550763397e6b1b9115c6ca27fca2f2e819183106cf92850981032ae5a30e7b507
[ { "role": "user", "content": "Write a python function to determine if a given list of integers can be rearranged to form a sequence of consecutive numbers. The function should take a list of integers as input and return a boolean value: `True` if the integers can be rearranged to form a consecutive sequence...
personahub_robj7i8l86fj7rlrgwh1ed6v
9c789102c8351e52d6709d506cf4744a1cadcde83a29e5b5b3b45489f8b2a11b6763905edbf07842451c815dadc341b72049ed19797f65b8f07d2d0b37fddfad
[ { "role": "user", "content": "A statistician is analyzing the results of a survey to determine the relationship between hours of study per week (denoted by \\( x \\)) and the resulting test scores (denoted by \\( y \\)). The data is modeled by the quadratic equation \\( y = ax^2 + bx + c \\), where \\( a \\...
ai2-adapt-dev/numinamath_tir_math_decontaminated_28885
6b93cf3b9e2d8f3440b33a43082211a329be5e8bdbdd038d92597920249a8e40666b23506633098f31db6072de253074c46d5c1de4257cf34ec0d7b0133f9708
[ { "role": "user", "content": "Given a $99 \\times 99$ grid where each cell is colored either black or white, you are allowed to recolor all the cells of any column or any row simultaneously to the color that is the majority in that column or row before recoloring. Is it always possible to make all the cells...
personahub_e062f67ezpe1lfm1c7uewxzg
caec9794a6d746d50f53d44cd013b51b115ae6de00b90549a75116c7cdf25845718dcfd004206e46c8bf1317baacceb2dd175e39df4867d227a324de4f88b3fc
[ { "role": "user", "content": "Write a Python function to parse a CSV file that contains Google Ads campaign data and return a list of dictionaries where each dictionary represents a row from the CSV file. The keys of the dictionary should be the column headers, and the values should be the corresponding dat...
ai2-adapt-dev/numinamath_tir_math_decontaminated_55961
321d73cc9b46a9886133ed894918a20acca65ff3f39235e4ebe3f2b83cf1dc0dcb63b785863b70f560e4f91329848dd253d618616a6cc9ebf11ede361dfb83fd
[ { "role": "user", "content": "If it is now 9:04 a.m., what will the time be in 56 hours?\n(A) 9:04 a.m.\n(B) 5:04 p.m.\n(C) 5:04 a.m.\n(D) 1:04 p.m.\n(E) 1:04 a.m." }, { "role": "assistant", "content": "To solve this problem, we need to determine what time it will be 56 hours after 9:04 a.m. Let...
personahub_1e1jcvlxv2ka1rvuwyczmsq3
bb1e5d1dadcefa4fba6bc9821330bdc1882b70227aa97b459242507d95eecf8280614da1ccaef88eeb15393025fa038ecff35baa90b80d336d5f383ee090ad2e
[ { "role": "user", "content": "Write a python function to calculate the total number of hours an employee has worked in a week, given their daily work hours as input. The function should accept a list of integers representing the hours worked each day from Monday to Friday. If any value exceeds 8, it should ...
ai2-adapt-dev/numinamath_tir_math_decontaminated_31036
529fe721a5c55d6f74b1c599ec365cd5b143ee2999701a23d04f6848444eb557bccbee8d53c1bbc011238ea9d670121d6c53c66c9f1ce8a6f45d090c358d9920
[ { "role": "user", "content": "Given $a > 0$, if $\\int_{0}^{a} (2x-2) \\, dx = 3$, then $a = \\_\\_\\_\\_\\_\\_$." }, { "role": "assistant", "content": "To solve this problem, we need to evaluate the integral and then solve for \\( a \\) such that the integral equals 3.\n\nSteps to solve the pro...
ai2-adapt-dev/numinamath_tir_math_decontaminated_24142
b727c3970eaa62fe42472c5e5b1c229fbc684a5a7048e67644d32422ea32fd18452b18ecaca82ad3dbd9d3f3415956f78f01cb8b06f4fb155e964ef51f42d0dd
[ { "role": "user", "content": "Given that point $P(x_{0},8)$ is on the parabola $y^{2}=8x$, find the distance from point $P$ to its focus." }, { "role": "assistant", "content": "To solve this problem, we need to follow these steps:\n\n1. **Understand the Parabola and its Focus:**\n The equation...
ai2-adapt-dev/evol_codealpaca_heval_decontaminated_6437
e0327811971a649315991896e1a0e2f124f5d8c6ac4dc9aec2d0d5108c1626cf746bc2cf8c971a6e46e784f7ad7d93bf966a2ba44998aa6c70a4fef3752675f2
[ { "role": "user", "content": "Design a schema for a regular expression with the objective of scrutinising a certain conglomerate of characters to determine if it terminates with the distinct concatenation of the letters \"py\", along with furthering our query by understanding its frequency and positional di...
ai2-adapt-dev/numinamath_tir_math_decontaminated_59300
b05c947fb465c8a29083e89cfff2c31ee67d024d8ad9b7d05c26104e5154c393e8a59ee3d5a9d2baf87fea90edd2d1ae67e52d6561029bba6d6ee552c23da5fb
[ { "role": "user", "content": "What is the remainder when $1^{1} + 2^{2} + 3^{3} + \\ldots + 8^{8} + 9^{9}$ is divided by 2?" }, { "role": "assistant", "content": "To solve the problem, we need to compute the sum \\(1^1 + 2^2 + 3^3 + \\ldots + 8^8 + 9^9\\) and find its remainder when divided by 2...
ai2-adapt-dev/evol_codealpaca_heval_decontaminated_11233
3cdb5207ef717d77f03bdd65a19a8978d039f0533ff8fb0fcd81308ab956e1ed77f04181d3c952fdd7d1e91619d2b02252fb0d163a42a1ea4da273751e606044
[ { "role": "user", "content": "Evaluate and transmogrify the temporal point of 5:30pm in the United Kingdom's local time structure into its corresponding chronometric position within the UTC+7 timescale." }, { "role": "assistant", "content": "The United Kingdom operates on Greenwich Mean Time (GM...
personahub_464xvpcoz2qrjz6emgc7o1k0
723aeec9351cfc56d58b2d726350f58d13a4bb02907b19632c8e23da175aa017cda42a23f23bdb7f4e8246bdf9c6c372d2a55a564409826c2a0c9cee19108e5c
[ { "role": "user", "content": "Write a python function to calculate the Gini coefficient given a list of income values. The Gini coefficient is a measure of statistical dispersion intended to represent the income inequality within a nation or a group. The function should take a list of integers or floats whe...
personahub_hw3qzq9tg7szhvefearr05u6
eec6649281dce65e73816c7005617818d84830873f0a09873d9f917cb34a703044dc85df7b46d18ae82c669295bc2d9245cbacf483ac1f8f48725b0cba24bfb7
[ { "role": "user", "content": "Write a python function to simulate a simplified version of how transaction fees are calculated using blockchain technology for banking transactions. Each transaction has a base fee, and an additional fee based on the transaction amount. \n\nThe function should take a list of d...
ai2-adapt-dev/numinamath_tir_math_decontaminated_55141
7a2993bde47189649eb13f424129e554df9ff1a3f9fa64bb18c462d3869dc2907307736be2133bb4b020630c71bfeb6a6c99494fd19b2482fb998a366381a4ec
[ { "role": "user", "content": "For real numbers $x$ and $y$, define $x\\spadesuit y = (x + y)(x - y)$. What is $3\\spadesuit(4\\spadesuit 5)$?\n$\\text {(A) } - 72 \\qquad \\text {(B) } - 27 \\qquad \\text {(C) } - 24 \\qquad \\text {(D) } 24 \\qquad \\text {(E) } 72$" }, { "role": "assistant", ...
ai2-adapt-dev/numinamath_tir_math_decontaminated_19119
8b35a890990903c76b69cd94de86aea08119b175c9885f38a0623a8078509e3149717dc52babadf91300f0e4bd89b9bbfa543fd249351831c70a7d48f0c29fb8
[ { "role": "user", "content": "Two springs with stiffnesses of 3 kN/m and 6 kN/m are connected in series. How much work is required to stretch this system by 5 cm?" }, { "role": "assistant", "content": "To solve this problem, we need to follow these steps:\n\n1. **Understand the system:**\n The...
personahub_22s0z3f1d0fypvaaodv3m7uy
ccc3722140185602e7775ef8cc35052bc4b11ce82a1b5745379cd9cd034e5012fc4ef72285bc989c1ebf6678a3df04247c28695a17f19de2f19f51fa24ac4590
[ { "role": "user", "content": "Write a python function to help me analyze data from my film project collection. I want to create a function that takes a list of tuples as input, where each tuple contains the following information: (film_title, director, year_of_release, genre). The function should return a d...
personahub_w4hwg72t079sys7shgqfw9st
547f04712f329900bbabf15940a2ab771b4c04dadf50acebd9b6b2cef3f9bfa13d5459e702b37541b2118eddff0e0d76496a76541d50b5e376ebd41a195a8fb2
[ { "role": "user", "content": "Write a python function to help me analyze student grades. As an EFL teacher in Turkey, I keep track of my students' scores in a dictionary format where the keys are student names and the values are lists of their exam scores. I want to write a function that calculates the aver...
personahub_b7hns0r639eifjwce4fa2zkb
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[ { "role": "user", "content": "Write a python function to filter a list of sportswear product dictionaries based on a given brand name. Each product is represented as a dictionary with keys such as \"name\", \"brand\", \"category\", and \"price\". The function should take two inputs: a list of products and a...
ai2-adapt-dev/numinamath_tir_math_decontaminated_28657
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[ { "role": "user", "content": "In a certain region, it rains on a quarter of all days. Furthermore, it is noted that if it rained on a given day, then in two out of three cases it will also rain the next day. What is the probability that the weather will be good on a given day, if there was no rain the day b...
personahub_hj4iwqwkb95furk7d1iwd654
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[ { "role": "user", "content": "As a veteran rugby league player from the 90s turned coach, you are designing a training schedule for your team. You want to balance the number of practice hours with the team's performance in a quadratic model. The team's performance score, P, is modeled by the quadratic equat...
personahub_tcak8b6826th91oruaxlybfm
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[ { "role": "user", "content": "Write a python function to help me calculate the total cost of ingredients for a dish. I have a list of ingredients, each with its price per unit and the amount needed for a recipe. The function should take a list of tuples as input, where each tuple contains the ingredient nam...
ai2-adapt-dev/numinamath_tir_math_decontaminated_21849
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[ { "role": "user", "content": "A bag of grapes is to be distributed evenly to 5 kids in a class, and the grapes that are left over will be thrown out. If each student receives the greatest possible number of grapes, what is the greatest possible number of grapes that could be thrown out?" }, { "role"...
personahub_acon8xlg7gqlrhamvwzy6biu
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[ { "role": "user", "content": "Write a python function to calculate the redshift of a galaxy given its observed wavelength and the rest wavelength of a particular spectral line. \n\nThe redshift \\( z \\) can be calculated using the formula:\n\n\\[ z = \\frac{\\lambda_{\\text{observed}} - \\lambda_{\\text{re...
ai2-adapt-dev/numinamath_tir_math_decontaminated_28672
285398bf35c2293f4ea8ea5d0af571973b1dd6b5c8d79762ed9561f7e94c13486e40daf75cfcd97be456cedd921ab423e0986f67dbfd59a21e233a97b017a1ac
[ { "role": "user", "content": "How many four-digit numbers $N = \\underline{a}\\,\\underline{b}\\,\\underline{c}\\,\\underline{d}$ satisfy all of the following conditions?\n\n$4000 \\le N < 6000.$\n$N$ is a multiple of $5.$\n$3 \\le b < c \\le 6.$" }, { "role": "assistant", "content": "We are tas...
ai2-adapt-dev/numinamath_tir_math_decontaminated_35331
74fe4ea614c065dc9c165badf492695621b318e2fae17167ba06d45a5e86f57ff06aa358ba94de27e88a9ea907be0b9d42ecec72e1cee5f64990f7408107de46
[ { "role": "user", "content": "Simplify first, then evaluate: $\\left(2x+3\\right)\\left(2x-3\\right)-\\left(x+2\\right)^{2}+4\\left(x+3\\right)$, where $x=\\sqrt{7}$." }, { "role": "assistant", "content": "To solve the given problem, we need to follow these steps:\n\n1. Simplify the expression \...
ai2-adapt-dev/numinamath_tir_math_decontaminated_62092
48aec138665ddc3027cc59823062d48ad62e35c83c13c90e9e00dbcc675d0c0586c396e345e29ae0e8aee34ead441ca57f8eb496c3a71b53506346bd97312b83
[ { "role": "user", "content": "What is the result if you add the largest odd two-digit number to the smallest even three-digit number?" }, { "role": "assistant", "content": "To solve this problem:\n\n1. Identify the largest odd two-digit number.\n2. Identify the smallest even three-digit number.\...
personahub_e33qegcf8mkgrp3jlb10vh28
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[ { "role": "user", "content": "Write a python function to help me generate a visually inspiring pattern from a simple melody. I have a list of musical notes represented as strings (e.g., [\"C\", \"E\", \"G\", \"C\", \"A\"]) and I want to convert this into a pattern that alternates between the notes and their...
personahub_6v85oeqn23a0t58l3gwwrpv4
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[ { "role": "user", "content": "An enthusiastic beginner quilter, Emily, is planning to create a quilt made up of small square patches. She wants the quilt to be rectangular with a length that is 3 feet longer than its width. Emily has enough fabric to cover an area of 60 square feet.\n\n1. Represent the widt...
personahub_agb9e3s0q06u1j6gwx58ni4s
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[ { "role": "user", "content": "Write a python function to calculate the total cost of items purchased at Love's Travel Stops & Country Store. The function should take a list of tuples as input, where each tuple contains the name of the item (a string), the quantity purchased (an integer), and the price per i...
ai2-adapt-dev/numinamath_tir_math_decontaminated_61607
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[ { "role": "user", "content": "Vinny wrote down all the single-digit base-$b$ numbers and added them in base $b$, getting $34_b$.\n\nWhat is $b$?" }, { "role": "assistant", "content": "To solve this problem, let's break it down into manageable parts:\n\n1. **Understanding the number system:**\n ...
ai2-adapt-dev/numinamath_tir_math_decontaminated_46179
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[ { "role": "user", "content": "The hundreds digit of a three-digit number is $2$ more than the units digit. The digits of the three-digit number are reversed, and the result is subtracted from the original three-digit number. What is the units digit of the result?\n$\\textbf{(A)}\\ 0 \\qquad\\textbf{(B)}\\ 2...
ai2-adapt-dev/evol_codealpaca_heval_decontaminated_8756
1d09a84a4acb2ab52c6692dc908c6067870129754a96320e990b6c11ddff42fb8ddedb23c069bcb21c20c4b5e0db3a744520bfe54950a5e08a379c18e6adb3fa
[ { "role": "user", "content": "What was the result when incumbent Tom Steed was elected?\ntable name: table_1342198_36\n| | District | Incumbent | Party | First elected | Result | Candidates |\n|---:|:-----...
ai2-adapt-dev/evol_codealpaca_heval_decontaminated_7383
c74213d9b940c7c9be89020fb9532f37ca07cfa50a187f62ed7f4bddc7b6a4a2c116f9a1b34ba57a1e48299cb700e9b8ebeedc69c4994b5becdfd10db5526da7
[ { "role": "user", "content": "Elaborate a segregating schema to classify these provided CSS properties into three distinct clusters: {margin}, {padding}, {border}, {background}, {font-size}, {font-family}. Make sure to justify the logic behind your categorization." }, { "role": "assistant", "con...
personahub_pxbi39vtr40x5mc5g2xdmfoa
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[ { "role": "user", "content": "Write a python function to process a list of historical events that took place in Liverpool. Each event is represented as a dictionary with keys `'year'`, `'event'`, and `'location'`. The function should take this list as input and return a new list of events that only occurred...
personahub_m37vu9bp9205hxnkvhrn6ndu
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[ { "role": "user", "content": "Write a python function to help me organize a list of potential names for a local football team. I have a list of candidate names, but I want to filter out any names that contain certain banned words (e.g., \"bad\", \"ugly\"). The function should take two inputs: a list of team...
ai2-adapt-dev/numinamath_tir_math_decontaminated_44418
0bc76fb5ce7f753769e1abb22beffa527629cb12e68ad5b788f6829c089089449708780646092fafc07d6f9190df15dfb0a52b91c1fa13bbe84a13a372fbf20a
[ { "role": "user", "content": "Simplify first, then evaluate: $\\left(a-b\\right)^{2}-2a\\left(a+b\\right)+\\left(a+2b\\right)\\left(a-2b\\right)$, where $a=-1$, $b=4$." }, { "role": "assistant", "content": "To solve the given problem, we'll follow these steps:\n\n1. **Simplify the Expression:**\...
personahub_xqs16fw3au4156jm820d43hn
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[ { "role": "user", "content": "Write a python function to determine if a given DNA sequence contains a specific subsequence. The function should take two arguments: a string `dna_sequence` representing the DNA sequence and a string `subsequence` representing the subsequence to search for. The function should...
personahub_odcv0j0ejyhe4b59h8485h4s
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[ { "role": "user", "content": "Write a python function to calculate the total sales of a store from a list of daily sales figures, and then determine the average daily sales. The function should take in a list of integers or floats, where each number represents the sales amount for a day. The function should...
personahub_8goixvcraqfm199nj10ks96q
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[ { "role": "user", "content": "Write a python function to help me manage the intricate details of a theater performance by processing a list of actors' costume details. Each costume is represented as a dictionary with keys such as 'actor', 'role', 'costume_color', and 'number_of_buttons'. The function should...
ai2-adapt-dev/numinamath_tir_math_decontaminated_42687
4da784e6a6b4f5ee9c117c8a364caa5a1c0b5d502f3be1c28dcaf11816e45ef89cf1177cdc9ec693b352af5e006a13ff795bc66c8d63aa0db37a75c38253a851
[ { "role": "user", "content": "Two cars, A and B, start simultaneously from cities A and B, respectively, which are 360 kilometers apart, and head towards each other. It is known that car A takes 6 hours to travel from city A to city B, and car B takes 12 hours to travel from city B to city A. How many hours...
ai2-adapt-dev/numinamath_tir_math_decontaminated_14696
cc00b05c5646959cfd0a465b4d90615d02b8e04cf06abb8771814d373b9a009fa4dc6def6510c90fcf3cf5306e46194d8c703d02836a00d7a4cc08174da16298
[ { "role": "user", "content": "Move the point representing the number $3$ on the number line $4$ units to the right, the corresponding number is ______." }, { "role": "assistant", "content": "To solve this problem, we need to move the point representing the number \\(3\\) on the number line \\(4\...
ai2-adapt-dev/numinamath_tir_math_decontaminated_56016
64a56ae75192cd5c1966bb7394dbf670175bd1fc4991ef724e8f51b75e6f298c520048ef8b4271b4c09d93427d16c0ccc2ba35a7115c5e96aa4db1f6f1fa0537
[ { "role": "user", "content": "In the Cartesian coordinate plane $(xOy)$, a circle $C_{1}$ is defined by the equation $x^{2}+y^{2}-4x-8y+19=0$. This circle is symmetric with respect to the line $l$ defined by the equation $x+2y-a=0$. Determine the value of the real number $a$." }, { "role": "assistan...
ai2-adapt-dev/numinamath_tir_math_decontaminated_60733
33c275aed546afab89ebd5647adcb51614ede8c653a2d8545792bec6fc1979dd4c5d67b0c6f48ce1b0f5c469c3c89245164ba88d862b03e2ab8116e289db77c1
[ { "role": "user", "content": "Let \\[p(x,y) =\n\\begin{cases} x + y &\\quad \\text{if } x \\ge 0 \\text{ and } y \\ge 0, \\\\\nx - 2y &\\quad \\text{if } x < 0 \\text{ and } y < 0, \\\\\n3x + y &\\quad \\text{otherwise}.\n\\end{cases}\n\\]What is $p(p(1,-1),p(-5,-2))$?" }, { "role": "assistant", ...
personahub_3ro2mmxnjw62wltqjkwtckvx
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[ { "role": "user", "content": "A licensed therapist is planning her week's schedule, which includes both individual therapy sessions and group therapy sessions. She has observed that conducting psychotherapy in individual sessions is more intensive and beneficial, and she would like to maintain a healthy bal...
personahub_k7hyzdkex9cdecho3rjtbn9i
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[ { "role": "user", "content": "Write a python function to calculate the average score from a list of golf scores, but with a twist inspired by my idol Chiara Noja's amazing performances. The function should ignore the highest and lowest score in the list, and then compute the average of the remaining scores....
ai2-adapt-dev/numinamath_tir_math_decontaminated_26025
4f89ae41d56ba2891ef0f2510cc46acb65a12172a01af4f62d8708bdb01162ee0bbee845b3ee0bbf68491fa0429c6b4232f8c051fc34d3756da0d9662ff70971
[ { "role": "user", "content": "For which positive integers \\( n \\) do there exist functions \\( f \\) and \\( g \\) from \\( \\{1,2, \\ldots, n\\} \\) to \\( \\{1,2, \\ldots, n\\} \\) such that for each \\( 1 \\leq i \\leq n \\), either \\( f(g(i))=i \\) or \\( g(f(i))=i \\), but not both?" }, { "r...
ai2-adapt-dev/numinamath_tir_math_decontaminated_50494
3e0065c8c523bd27da20d78a2977d462e30ba9a5ff5717211f5386bfdd01f0c6f44ea473b11a152ed10a12f92941371b79bdaf934c4af23b29f2c82030a650fb
[ { "role": "user", "content": "Let $f$ be a non-constant polynomial such that\n\\[f(x - 1) + f(x) + f(x + 1) = \\frac{[f(x)]^2}{2013x}\\]for all nonzero real numbers $x.$ Find the sum of all possible values of $f(1).$" }, { "role": "assistant", "content": "To solve the problem \\(f(x - 1) + f(x)...
personahub_326aqq0jau42adg3o3n1poq8
f55a7fc59c85509e32c34f795f1d7277eac87d7b3c78d2586a44fbab68c937013b07e0c76a4c17064a32bc83b3b60c476713356e1f7fdfedc0a8fc0ba1ad4c9a
[ { "role": "user", "content": "Write a python function to calculate the total time spent in a Disney park, given a list of times spent on various attractions. Each element in the list represents the time in minutes spent on a single attraction. The function should return the total time spent in hours and min...
personahub_jvrcqfidh5lfzjy7dvgfyh2l
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[ { "role": "user", "content": "Write a python function to help me analyze the growth patterns of native plants in my garden in Washington State. I have a list that contains the heights of a particular plant species measured in centimeters over several weeks. I would like to determine the weeks during which t...
personahub_u7vsqhto4c859j0k6iva2wh5
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[ { "role": "user", "content": "Write a python function to determine the number of unique time periods visited by the Legends of Tomorrow. Assume you have a list of strings where each string represents a time period in the format \"YYYY-MM-DD\". Sometimes, the Legends might visit the same time period more tha...
personahub_g2fakb1ujo0r3q1rmdchz18u
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[ { "role": "user", "content": "As an Olympic gold medalist in martial arts, you understand the importance of balance and precision. You decide to create a training regimen that incorporates these principles through mathematical expressions.\n\n1. You plan to create a sequence of moves where the number of mov...
personahub_fd1c4eut3dn9oe3gkmvc9yes
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[ { "role": "user", "content": "Write a python function to help me organize my childbirth stories by the decade in which they occurred. I have a list of tuples, where each tuple contains a story and the year it happened. The input list looks like this: `[(\"Story A\", 1983), (\"Story B\", 1975), (\"Story C\",...
ai2-adapt-dev/evol_codealpaca_heval_decontaminated_4212
7066002d6042522c9a77ae187cd74f6de090fe486fa6beceaf9145719d18a22cf3173bd0557114218842ca9899441a65b8b09706b167cf9cbd1f906d95cc6ce9
[ { "role": "user", "content": "Design and implement an object-oriented software model to depict the complex dimensions of a rare manuscript housed within a specialist archives system. The model should also account for the manuscript's interpretation and annotation by multiple scholars over time, reflecting c...
ai2-adapt-dev/numinamath_tir_math_decontaminated_18086
28801412e979fe40a4e163ef4187aece3918c0460d10605ff98c6d2f48b49b09b942a3f0457e910c7f24e9665377df370bfe2d7682fd205fcb861a9e1528d9a6
[ { "role": "user", "content": "Arrange the numbers 1 to 8 in a row, requiring that each pair of adjacent numbers be coprime. There can be $\\boxed{1728}$ ways to arrange them." }, { "role": "assistant", "content": "To determine the number of ways to arrange the numbers 1 to 8 in a row such that e...
ai2-adapt-dev/numinamath_tir_math_decontaminated_31934
5f6ca0808c92f53ebfa1cbc764a5b5836d3563a4f20e922022a220c31e4415581b9a4ea15e3ebefb4c258b2deb1a8c049bbf8c64ff4be5110eae7afc912d4ae0
[ { "role": "user", "content": "Santa Claus distributes 53 candies into three bags ensuring that each bag has a different number of candies and that any two bags together have more candies than the third one. How many ways can he do this?" }, { "role": "assistant", "content": "To solve this proble...
personahub_o6em84gyp9p2ujst27rduaf1
1d43f4b13ff8fc2296230240b6273b87d5e144697fc5ca9a2b516721daafe3a1e849e9118e86d67f21229fc6cf58e6d132e2be91c1c7929e22f5e0d0fa8c5e1b
[ { "role": "user", "content": "Write a python function to help integrate data from a software engineer's platform into our property management system. The function should take two inputs:\n\n1. A list of dictionaries, where each dictionary represents a property with the keys 'id', 'address', and 'price'.\n2....
personahub_ibay5srlrzs0vz6w2fzdof5y
4ab9b07f93ef919528bc86e93252547a019df55a2a629d0b46168aba752c8578f802a5492ee8ef67fcacd423f7bef202c9cc5a4797f697462b1a33e349f3354a
[ { "role": "user", "content": "Write a python function to filter a list of football player names based on their potential rating. The function should take in two parameters: a list of tuples and a threshold integer. Each tuple in the list contains a player's name as a string and their potential rating as an ...
End of preview. Expand in Data Studio

SafeTulu

⚠️ Content warning: saferlhf_with_metadata contains harmful requests and harmful responses taken from PKU-SafeRLHF

SafeTulu is a version of the Tulu 3 SFT mixture with the examples most likely to harm a model's safety removed. Each Tulu 3 example is scored by how close its training gradient is to the gradients of harmful PKU-SafeRLHF examples, and the highest-scoring examples are removed.

Along with the filtered dataset, we release the gradient embedding of every Tulu 3 and SafeRLHF example and the score of every Tulu 3 example. This lets you build your own version of SafeTulu. Some customization examples: keeping and filtering only non-English data, removing only 10% of the data, etc.

🛠️ Build your own SafeTulu in the browser: Build Your Own SafeTulu. Pick a removal threshold and sources, see what gets removed, and download the data or push your version to the Hub.

Subsets

Subset Rows What it is
safe_tulu (default) 771,823 SafeTulu: the Tulu 3 examples we keep
removed_tulu 166,804 The Tulu 3 examples we remove
tulu_with_metadata 938,627 Every Tulu 3 example, with its gradient embedding, nearest SafeRLHF example, and score
saferlhf_with_metadata 43,469 The harmful PKU-SafeRLHF examples used as the target, with gradient embeddings

safe_tulu and removed_tulu split tulu_with_metadata with no overlap. Each subset has a single train split.

Fields

All subsets share these fields:

Field Type Description
document_id string Example ID. For Tulu 3 it is the original ID, e.g. ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k_14145. The prefix identifies the source. SafeRLHF IDs are UUIDs
content_hash string 128-character hex hash of the example's content
messages list of {role, content} The conversation, in the Tulu 3 chat format

tulu_with_metadata adds:

Field Type Description
gradient_embedding list of float32 (1,856) Gradient embedding of the example
target_document_id string document_id of the nearest SafeRLHF example in gradient space
cluster_id int64 Index of that nearest SafeRLHF example: its zero-based position after sorting SafeRLHF document_ids. It matches cluster_id in saferlhf_with_metadata
distance float32 Distance from this example to its nearest SafeRLHF example
score float64 1 − distance. Higher means closer to harmful data; the removed examples are the highest-scoring ones

saferlhf_with_metadata adds gradient_embedding (1,856 floats) and cluster_id, as defined above.

Usage

Load SafeTulu for fine-tuning:

from datasets import load_dataset

ds = load_dataset("SaketR1/SafeTulu", "safe_tulu", split="train")

tulu_with_metadata is about 7.5 GB, almost all of it embeddings. If you only need the scores, read just those columns. Parquet stores columns separately, so this downloads tens of MB instead of the whole subset:

import pyarrow as pa
import pyarrow.parquet as pq
from huggingface_hub import HfFileSystem

fs = HfFileSystem()
files = fs.glob("datasets/SaketR1/SafeTulu/data/tulu_with_metadata/*.parquet")
scores = pa.concat_tables(
    [pq.ParquetFile(fs.open(f, "rb")).read(columns=["document_id", "score"]) for f in files]
).to_pandas()

Make your own cut, for example removing the top 10% by score. This continues from the snippet above and reads only the text columns, skipping the embeddings:

import pyarrow.compute as pc
from datasets import Dataset

cutoff = scores.score.quantile(0.90)
keep = pa.array(scores.document_id[scores.score < cutoff])

parts = []
for f in files:
    t = pq.ParquetFile(fs.open(f, "rb")).read(columns=["document_id", "content_hash", "messages"])
    parts.append(t.filter(pc.is_in(t["document_id"], value_set=keep)))
custom = Dataset(pa.concat_tables(parts))
# custom.push_to_hub("your-name/safetulu-10pct")

The Space generates this script for any setting, including per-source cuts and exempting sources.

Licenses

  • Tulu 3 subsets (safe_tulu, removed_tulu, tulu_with_metadata): ODC-BY, following the Tulu 3 SFT mixture. Some of Tulu 3's sources carry their own terms; see the Tulu 3 dataset card.
  • saferlhf_with_metadata: CC BY-NC 4.0, following PKU-SafeRLHF.

The gradient embeddings and scores are released under the same terms as the data they describe.

Intended use

  • Fine-tuning models on a safer version of Tulu 3
  • Research on data attribution and data filtering for safety

The SafeRLHF subset contains harmful content and is released only to support this research. Don't use it to train models to produce harmful output.

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