numeric_id int64 1 583k | messages stringlengths 38 3.5k | prompt_tokens int32 1 1.93k | row_type stringclasses 2
values |
|---|---|---|---|
93,824 | [{"role": "user", "content": "A university needs to select an eight-member committee on extracurricular life, whose members must belong either to the student government or to the student advisory board. If the student government consists of 9 members, the student advisory board consists of 8 members, and 6 students hol... | 107 | en_anchor |
93,825 | [{"role": "user", "content": "What is the decimal equivalent of the number $12345_{6}$?"}] | 18 | en_anchor |
93,826 | [{"role": "user", "content": "Granger has five times as many spots as his brother, Cisco. But Cisco has 5 less than half as many spots as his cousin, Rover. If Rover has 46 spots, how many spots do Granger and Cisco have combined?"}] | 52 | en_anchor |
93,827 | [{"role": "user", "content": "Sarah is trying to fence a rectangular area containing at least 100 sq. ft while using the least amount of material to build the fence. The length of the rectangular area should be 15 ft longer than the width. What should the width, in ft, be?"}] | 57 | en_anchor |
93,828 | [{"role": "user", "content": "At constant temperature, the pressure of a sample of gas is inversely proportional to its volume. I have some oxygen in a 2.28 liter container with a pressure of 5 kPa. If I move all of it to a X liter container at the same temperature, The new pressure will be 2 kPa. What is the value of ... | 76 | en_anchor |
93,829 | [{"role": "user", "content": "What is the maximum number of different digits that can be the units digit of a perfect square?"}] | 19 | en_anchor |
93,830 | [{"role": "user", "content": "Cally and Danny washed their clothes. Cally has 10 white shirts, 5 colored shirts, x pairs of shorts, and 6 pairs of pants, while Danny has 6 white shirts, 8 colored shirts, 10 shorts, and 6 pairs of pants. How many clothes did they wash?\nIf we know the answer to the above question is 58,... | 89 | en_anchor |
93,831 | [{"role": "user", "content": "A boat can travel with aspeed of 20km/hr in still water. If the speed of the stream is 5km/hr, find the time taken by the boat to go 125km downstream.\nAnswer Choices: (A) 1 hr (B) 2 hrs (C) 3 hrs (D) 4 hrs (E) 5 hrs"}] | 78 | en_anchor |
93,832 | [{"role": "user", "content": "If the true discount on a sum due 2 years hence at 14% per annum be Rs.168,the sum due is :\nAnswer Choices: (A) Rs. 768 (B) Rs. 968 (C) Rs. 1960 (D) Rs. 2400 (E) None"}] | 75 | en_anchor |
93,833 | [{"role": "user", "content": "Simplify: $$\\sqrt[3]{2744000}$$"}] | 18 | en_anchor |
93,834 | [{"role": "user", "content": "Jorge bought 24 tickets for $7 each. For purchasing so many, he is given a discount of 50%. How much, in dollars, did he spend on tickets?"}] | 39 | en_anchor |
93,835 | [{"role": "user", "content": "Let $a_1,$ $a_2,$ $a_3,$ $\\dots$ be a sequence of real numbers satisfying\n\\[a_n = a_{n - 1} a_{n + 1}\\]for all $n \\ge 2.$ If $a_1 = 1 + \\sqrt{7}$ and $a_{1776} = 13 + \\sqrt{7},$ then determine $a_{2009}.$"}] | 101 | en_anchor |
93,836 | [{"role": "user", "content": "Ronald wants to make profits by re-selling some phones he bought a week ago. He bought 200 units for just x, and he wants to gain a third of the initial investment in profits when all units are sold. Including the profit margin, The selling price for each phone will be 20. What is the valu... | 73 | en_anchor |
93,837 | [{"role": "user", "content": "Determine the sum of all odd integers between 11 and 39, inclusive."}] | 19 | en_anchor |
93,838 | [{"role": "user", "content": "If Sandra has a box of apples weighing 120 pounds and plans to use half of the weight for making applesauce, how many pies will she be able to make with the remaining apples, considering that she needs 4 pounds of apples per pie?"}] | 52 | en_anchor |
93,839 | [{"role": "user", "content": "If there were initially 45 kids and 123 adults at the Taylor family reunion and they sat down to eat at 14 tables, how many people were seated at each table?"}] | 40 | en_anchor |
93,840 | [{"role": "user", "content": "If olivine has 5 more precious stones than agate and diamond has 11 more precious stones than olivine, how many precious stones do they have together if agate has 30 precious stones?"}] | 45 | en_anchor |
93,841 | [{"role": "user", "content": "If Susan has 3 fish tanks to fill, and the first tank contains 7 goldfish and 8 beta fish, the second tank has twice as many fish as the first tank, and the third tank has a third of the number of fish in the second tank, how many fish are there in the third tank?"}] | 65 | en_anchor |
93,842 | [{"role": "user", "content": "An infinite geometric series has a first term of $12$ and a second term of $4.$ A second infinite geometric series has the same first term of $12,$ a second term of $4+n,$ and a sum of four times that of the first series. Find the value of $n.$"}] | 63 | en_anchor |
93,843 | [{"role": "user", "content": "Ian used a grocery delivery app to have his groceries delivered. His original order was $25 before delivery and tip. He noticed that 3 items changed on his order. A $0.99 can of tomatoes was replaced by a $2.20 can of tomatoes, his $1.00 lettuce was replaced with $1.75 head of lettuce a... | 131 | en_anchor |
93,844 | [{"role": "user", "content": "If the number of students in Middle School is 50 and there is three less than four times that number of students in Elementary School, what is the total number of students in both levels?"}] | 39 | en_anchor |
93,845 | [{"role": "user", "content": "Suresh and Ramesh started a business investing Rs. 24,000 and Rs. 40,000 respectively. Out of total profit of Rs. 20,000, what is Ramesh's share?\nAnswer Choices: (A) s. 8375 (B) s. 9379 (C) s. 10376 (D) s. 11372 (E) s. 12500"}] | 111 | en_anchor |
93,846 | [{"role": "user", "content": "Which of the following set is equivalent to set A= {a,b,c,d,e}\nAnswer Choices: (A) B= {1,2,3,4,5} (B) B= {c,a,b,f} (C) B= {-1,0,2,4} (D) B= {-1,2,4} (E) None of these"}] | 80 | en_anchor |
93,847 | [{"role": "user", "content": "If Alvin needs to earn $90 by selling coconuts that yield $3 each and each coconut tree yields 5 coconuts, how many coconut trees does Alvin need to harvest?"}] | 41 | en_anchor |
93,848 | [{"role": "user", "content": "A box is 8 inches in height, 10 inches in width, and 12 inches in length. A wooden building block is 3 inches in height, 2 inches in width, and 4 inches in length. How many building blocks can fit into the box?"}] | 58 | en_anchor |
93,849 | [{"role": "user", "content": "If William typically spends 4 minutes washing a car's windows, 7 minutes washing the car body, 4 minutes cleaning the tires, and 9 minutes waxing the car, and this morning he washed 2 normal cars and one big SUV that took twice as long as a normal car, how many minutes did William spend wa... | 71 | en_anchor |
93,850 | [{"role": "user", "content": "Ginger owns a flower shop, where she sells roses, lilacs, and gardenias. On Tuesday, she sold x times more roses than lilacs, and half as many gardenias as lilacs. If she sold 10 lilacs, The total number of flowers sold on Tuesday is 45. What is the value of unknown variable x?"}] | 74 | en_anchor |
93,851 | [{"role": "user", "content": "Suppose $\\sqrt{1 + \\sqrt{2y-3}} = \\sqrt{6}$; find $y$."}] | 26 | en_anchor |
93,852 | [{"role": "user", "content": "During a strawberry picking trip, Lilibeth fills 6 baskets with 50 strawberries each. If three of her friends also pick the same amount as her, what is the total number of strawberries picked by Lilibeth and her friends?"}] | 49 | en_anchor |
93,853 | [{"role": "user", "content": "A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be?\nAnswer Choices: (A) 5,2 (B) 6,9 (C) 2,1 (D) 5,8 (E) 15,10"}] | 67 | en_anchor |
93,854 | [{"role": "user", "content": "In a math contest, Riley and Ofelia are on x team. The team's final score is obtained by adding the scores of the students of the same team. Out of the 35 questions, Riley got 3 mistakes while Ofelia got 5 more than half the score of Riley. Their team got 17 incorrect answers. What is the ... | 87 | en_anchor |
93,855 | [{"role": "user", "content": "Compute $\\dbinom{7}{4}$."}] | 11 | en_anchor |
93,856 | [{"role": "user", "content": "Emilia needs x cartons of berries to make a berry cobbler. She already has 2 cartons of strawberries and 7 cartons of blueberries in her cupboard. She decides to go to the supermarket to get more cartons. How many more cartons of berries should Emilia buy?\nIf we know the answer to the abo... | 85 | en_anchor |
93,857 | [{"role": "user", "content": "Due to the restrictions of Coronavirus, Mr. Trent, the local store owner, increased the prices of goods at his store by 15% each to make the same income he was making before. If buying an orange was $40 and the price of purchasing a mango was $50, calculate how much it costs in total now t... | 81 | en_anchor |
93,858 | [{"role": "user", "content": "Jason bought a new bookcase that can hold a maximum of 80 pounds of weight. Jason has 70 hardcover books that each weigh x% a pound, 30 textbooks that each weigh 2 pounds, and 3 knick-knacks that each weight 6 pounds. How many pounds over the bookcase's weight limit is this total collectio... | 101 | en_anchor |
93,859 | [{"role": "user", "content": "If Martha buys 1 latte for $4.00 every morning, 5 days a week, and 3 days a week she buys an iced coffee for $2.00, what amount will she save if she aims to decrease her coffee spending by 25% for the entire year?"}] | 64 | en_anchor |
93,860 | [{"role": "user", "content": "Steve is building a bench for the playground and needs 6 lengths of wood that measure 4 feet and x lengths of wood that measure 2 feet. How many feet of wood does Steve need to buy?\nIf we know the answer to the above question is 28, what is the value of unknown variable x?"}] | 65 | en_anchor |
93,861 | [{"role": "user", "content": "Suppose a manifold M is defined by the equation x² + y² + z² = 1. Determine the symmetries of this manifold."}] | 31 | en_anchor |
93,862 | [{"role": "user", "content": "If there were initially 7 puppies and 6 kittens for sale at the pet store, and 2 puppies and 3 kittens were sold, how many pets are left at the store?"}] | 38 | en_anchor |
93,863 | [{"role": "user", "content": "If Larry initially had 150 channels from his cable company and they took away 20 channels but replaced them with 12 channels, and then he requested to reduce his package by 10 more channels but add the sports package which is 8 channels, and later he added the supreme sports package which ... | 79 | en_anchor |
93,864 | [{"role": "user", "content": "How many three digit numbers are there?"}] | 8 | en_anchor |
93,865 | [{"role": "user", "content": "Lyanna set up a food bank to collect food to give to the homeless in her local town. In the first week, 40 pounds of food were donated to the food bank by the people of her local town. In the second week, donations were twice as high as the first week. If she gave out x% of the donated foo... | 112 | en_anchor |
93,866 | [{"role": "user", "content": "There are 285 sweets in the bowl. If 49 of the sweets are red and 59 of the sweets are green, how many of the sweets are neither red nor green?"}] | 41 | en_anchor |
93,867 | [{"role": "user", "content": "x chocolate bar costs $1.50 and can be broken into 3 sections to make 3 s'mores. Ron is hosting a boy scout camp out in his backyard for 15 scouts. He wants to make sure that there are enough chocolate bars for everyone to have 2 s'mores each. He will spend 15 on chocolate bars. What is ... | 85 | en_anchor |
93,868 | [{"role": "user", "content": "Maria's birthday is in 22 days. Her friend Lilly wants to buy her flowers so she saves $2 each day until Maria's birthday. If a flower costs $4, how many flowers can she buy?"}] | 44 | en_anchor |
93,869 | [{"role": "user", "content": "If Jerry wants to achieve an average of $50 in tips per night, and he has earned $20, $60, $15, and $40 in the past four nights, how much does he need to earn tonight?"}] | 51 | en_anchor |
93,870 | [{"role": "user", "content": "Using partial fractions, we can express $\\frac{1}{x(x + 1)(x + 2)(x + 3)(x + 4)}$ as $\\frac{A}{x} + \\frac{B}{x + 1} + \\frac{C}{x + 2} + \\frac{D}{x + 3} + \\frac{E}{x + 4}$, where $A$, $B$, $C$, $D$, and $E$ are constants. What is the value of $A + B + C + D + E$?"}] | 124 | en_anchor |
93,871 | [{"role": "user", "content": "There are 14 chickens in the coop, and twice that many in the run. There is 4 less than double the number of chickens free ranging as in the run. How many chickens are free ranging?"}] | 44 | en_anchor |
93,872 | [{"role": "user", "content": "Jeff's five assignment scores are 89, 92, 88, X and 91. The arithmetic mean of these five scores is 91. What is the value of unknown variable X?"}] | 45 | en_anchor |
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