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66 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nEvaluate the trigonometric function $\\cos$ at ninety degrees.\n\n"}, {"role": "assistant", "content": "The cosine of 90 degrees is a well-known value in trigonometry.\n\n$$\n\\cos(90^\\circ) = 0... |
645 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf Yanna bought 60 apples and gave 18 to Zenny and an additional 6 to Andrea, how many apples did she keep for herself?\n\n"}, {"role": "assistant", "content": "Yanna initially had 60 apples. \n... |
47 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nJackson buys a computer game for $66 and three movie tickets for $12 each. How much did he spend on entertainment total?\n\n"}, {"role": "assistant", "content": "Jackson buys a computer game for ... |
953 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf Mark made a chalkboard that is 3 feet wide and 2 times as long as it is wide, what is the area of the chalkboard?\n\n"}, {"role": "assistant", "content": "To find the area of the chalkboard, w... |
417 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nHannah has 5 times as many dolls as her sister. Her sister has 8 dolls. How many dolls do they have altogether?\n\n"}, {"role": "assistant", "content": "Hannah has 5 times as many dolls as her si... |
653 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nWhat is the amount of money that Natalie has left after purchasing a jumper for $9, a T-shirt for $4, and a pair of heels for $5, if she initially had $26?\n\n"}, {"role": "assistant", "content":... |
651 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf a pound of steak at Ken's local store costs $7 and he decides to purchase two pounds, and he pays using a $20 bill, how much change will he receive?\n\n"}, {"role": "assistant", "content": "Th... |
25 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf the sum of $i^{22}$ and $i^{222}$ is known to be $-2$, what is the value of $i$ raised to the power of 22 added to the same imaginary unit raised to the power of 222?\n\n"}, {"role": "assistan... |
536 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf Adam picks 4 apples from his orchard every day for 30 days and collects the remaining 230 apples at the end of the month, how many apples in total has Adam collected from his orchard?\n\n"}, {... |
882 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nCompute X \\times 46$ in your head.\nIf we know the answer to the above question is 2484, what is the value of unknown variable X?\n\n"}, {"role": "assistant", "content": "We are given:\n\n$$\nX ... |
696 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf Charlie can run around a 3-kilometer field 2 1/2 times during a running session and can make 5350 steps in total, how many steps did he make?\n\n"}, {"role": "assistant", "content": "We are to... |
64 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf Mona brought 20 cookies to share in class and Jasmine brought 5 fewer cookies than Mona, and Rachel brought 10 more cookies than Jasmine, how many cookies did Mona, Jasmine, and Rachel bring t... |
657 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nEvaluate $\\dbinom{n}{0}$ where $n$ is any non-negative integer.\n\n"}, {"role": "assistant", "content": "The binomial coefficient $\\dbinom{n}{0}$ represents the number of ways to choose 0 items... |
785 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf Bush is currently 12 years old and is 3 years younger than Matt, what will be Matt's age 10 years from now?\n\n"}, {"role": "assistant", "content": "Bush is currently 12 years old and is 3 yea... |
261 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nBarbara wants to save up for a new wristwatch that costs $100. Her parents give her an allowance of $5 a week and she can either save it all up for the watch or spend it as she wishes. 10 weeks p... |
74 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf Joy has 30 pencils and Colleen has 50 pencils, and they bought each pencil for $4 at the store, what is the difference in the amount of money that Colleen paid compared to Joy for their pencil... |
426 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nVanessa set a school record for most points in a single basketball game when her team scored $48$ points. The six other players on her team averaged $3.5$ points each. How many points did Vanessa... |
748 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nAfter saving $25 every month for 2 years in his piggy bank, John had to use $400 from his savings last week to fix his car. What is the remaining amount of money in his piggy bank?\n\n"}, {"role"... |
636 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nSimplify the following expression:\n\n$$5x + 6 - x + 12$$\n\n"}, {"role": "assistant", "content": "To simplify the expression:\n\n$$\n5x + 6 - x + 12\n$$\n\n### Step 1: Combine like terms\n- Comb... |
435 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nJames buys 3 CDs. Two of them are 1.5 hours each. The last one is twice that long. What is the combined length of the CDs?\n\n"}, {"role": "assistant", "content": "First, calculate the length ... |
482 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nJames buys 3 CDs. Two of them are 1.5 hours each. The last one is twice that long. What is the combined length of the CDs?\n\n"}, {"role": "assistant", "content": "First, calculate the length ... |
82 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nGiven that $8!=40320$, what is the value of $8!\\div3!$?\n\n"}, {"role": "assistant", "content": "We are given that:\n\n$$\n8! = 40320\n$$\n\nWe are asked to find:\n\n$$\n8! \\div 3!\n$$\n\nFirst... |
738 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nConsidering that Sami's new three-digit area code contains the digits 9, 8, and 7, but she is unsure of the order, how many possible combinations are there for her to try?\n\n"}, {"role": "assist... |
124 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf Turner wants to ride the rollercoaster 3 times, the Catapult 2 times, and the Ferris wheel once, and the rollercoaster costs 4 tickets, the Catapult costs 4 tickets, and the Ferris wheel costs... |
178 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf $x - 2x + 3x = 100$, what is the value of $x$?\n\n"}, {"role": "assistant", "content": "We are given the equation:\n\n$$\nx - 2x + 3x = 100\n$$\n\n### Step 1: Combine like terms\n$$\n(1 - 2 + ... |
191 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf Holly needs to take 2 insulin pills, 3 blood pressure pills, and twice as many anticonvulsants as blood pressure pills each day, how many pills does she take in a week?\n\n"}, {"role": "assist... |
385 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf $f(x) = 2$ for all real numbers $x$, what is the value of $f(x + 2)$?\n\n"}, {"role": "assistant", "content": "We are given that the function $ f(x) = 2 $ for all real numbers $ x $. This mean... |
195 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf Luke catches 2 fish every day for 30 days during his summer break, and each fish provides him with 2 fillets, what is the total number of fish fillets that he has?\n\n"}, {"role": "assistant",... |
763 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nFor any positive integer $n$, what is the value of $\\dbinom{n}{1}$?\n\n"}, {"role": "assistant", "content": "The binomial coefficient $\\dbinom{n}{1}$ represents the number of ways to choose 1 i... |
239 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nWhat is $\\dbinom{n}{1}$ for any positive integer $n$?\n\n"}, {"role": "assistant", "content": "The binomial coefficient $\\dbinom{n}{1}$ represents the number of ways to choose 1 item from a set... |
80 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nA chef has 5 different spices he can use for a sauce: garlic, oregano, basil, paprika, and ginger. Three types of sauce bases are available. If each sauce recipe requires exactly one spice and on... |
386 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf Chastity spent $1.50 on each of the 4 lollipops she bought and $2 on each of the 2 packs of gummies she bought, and she initially had $15, how much money does she have left after purchasing th... |
145 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nSuppose $a\\odot b=4a-7b$ for all rational numbers $a$ and $b$. Calculate $5\\odot (-3)$.\n\n"}, {"role": "assistant", "content": "We are given the operation $ a \\odot b = 4a - 7b $, and we are ... |
581 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nFind the units digit of $13 \\cdot 41$.\n\n"}, {"role": "assistant", "content": "To find the **units digit** of $ 13 \\cdot 41 $, we only need to consider the **units digits** of the two numbers ... |
36 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nWhat is the sum of the positive integer divisors of 23?\n\n"}, {"role": "assistant", "content": "To find the **sum of the positive integer divisors** of 23, we first identify all the positive int... |
254 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf Maria plans to buy 6 handmade sweaters for $30 each and 6 handmade scarves for $20 each, and she has $500 saved, how much money will she have left in her savings after purchasing all these ite... |
273 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nAssume each of three storage crates is shaped like a perfect cube, with each side extending 4 feet in length. What is their total volume in cubic feet?\n\n"}, {"role": "assistant", "content": "Ea... |
822 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nMildred and Candice went to the market. Mildred spent $25 while Candice spent $35. If their mom gave them $x to spend, They will be left with 40 after spending.\n\n"}, {"role": "assistant", "cont... |
203 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nDonny went to the gas station to gas up his tank. He knows his truck holds 150 liters of fuel. His truck already contained 38 liters. How much change will he get from $350 if each liter of fuel c... |
335 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf Eddie can bake 3 pies a day, his sister can bake 6 pies, and his mother can bake 8 pies a day, how many pies will they collectively be able to bake in 7 days?\n\n"}, {"role": "assistant", "con... |
6 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nWhat is the greatest multiple of $7$ that is less than $200$?\n\n"}, {"role": "assistant", "content": "To find the **greatest multiple of 7 that is less than 200**, we can divide 200 by 7 and tak... |
618 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nAfter finding an oasis in the desert, a traveler drank 32 ounces of water, while his camel drank seven times more than him. Considering that there are 128 ounces in a gallon, what is the total am... |
364 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nOut of the exercises Emmett completed, which included 12 jumping jacks, 8 pushups, and 20 situps, what percentage of his exercises were pushups?\n\n"}, {"role": "assistant", "content": "To find t... |
494 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nFind one third of 5.4, expressed as a simplified fraction.\n\n"}, {"role": "assistant", "content": "To find one third of 5.4, we multiply:\n\n$$\n\\frac{1}{3} \\times 5.4\n$$\n\nFirst, express 5.... |
606 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf Sally sold 50% more boxes of crackers on Sunday than she did on Saturday, and the total number of boxes sold on the two days is 150, how many boxes did she sell on Saturday?\n\n"}, {"role": "a... |
816 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf you are to form three-digit numbers using the digits 2 and 5, with no restrictions on repetition, how many such numbers can you form?\n\n"}, {"role": "assistant", "content": "We are asked to f... |
874 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf $3m-7n=0$ and $n$ is two times $m$, what is $9m$?\n\n"}, {"role": "assistant", "content": "We are given two equations:\n\n1. $ 3m - 7n = 0 $\n2. $ n = 2m $\n\nWe can substitute the second equa... |
743 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf there are initially 100 ants in the first anthill and each subsequent anthill has 20% fewer ants than the previous one, how many ants are in the third anthill?\n\n"}, {"role": "assistant", "co... |
393 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nAfter withdrawing $60 from her bank account to purchase a new pair of shoes, Emma deposited twice the amount she withdrew the following week. If Emma initially had $230 in her bank account, what ... |
842 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf \\[f(x) = \\begin{cases}3x + 5 & \\text{for } x < -3, \\\\\n7 - 4x & \\text{for } x \\geq -3,\\end{cases}\\] what is \\(f(5)\\)?\n\n"}, {"role": "assistant", "content": "We are given a piecewi... |
224 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nWhile driving up a road, Philip crossed 5 intersections, each of which had 4 crosswalks with 20 lines on each crosswalk. What is the total number of lines on the crosswalks in the five intersecti... |
290 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nA store is comparing their profits throughout the year. They had profits of $1,500 in the first quarter of the year, $3,000 in the third quarter, and $2,000 in the fourth quarter. If their annual... |
293 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nA squirrel travels at a constant 4 miles per hour. How long does it take for this squirrel to travel 1 mile? Express your answer in minutes.\n\n"}, {"role": "assistant", "content": "To find how l... |
990 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nFor the algebraic expression $y(y-3x)$, calculate its value when the variable $x$ is substituted by 3 and the variable $y$ by 0.\n\n"}, {"role": "assistant", "content": "We are given the algebrai... |
938 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf it takes Alexis 2 hours to sew a skirt and 7 hours to sew a coat, how much time will it take for her to sew 6 skirts and 4 coats in total?\n\n"}, {"role": "assistant", "content": "To find the ... |
716 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf Michael initially had a large pile of matchsticks at home and decided to only use half of them to create 30 matchstick houses, with each house using 10 matchsticks, what was the original numbe... |
110 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf Matt's math homework consists of 20 problems and it takes him 2 minutes to solve each problem using a calculator and 5 minutes without a calculator, how much time will he save by using a calcu... |
891 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nFind the least integer value of $x$ for which $2|x| + 7 < 17$.\n\n"}, {"role": "assistant", "content": "We are given the inequality:\n\n$$\n2|x| + 7 < 17\n$$\n\n### Step 1: Subtract 7 from both s... |
68 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nDetermine the outcome of $m^6\\cdot m^2$ if $m= 5$.\n\n"}, {"role": "assistant", "content": "To solve $ m^6 \\cdot m^2 $ when $ m = 5 $, we can use the **laws of exponents**:\n\n$$\nm^6 \\cdot m^... |
194 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nAt the Taylor family reunion, there were 45 kids and 123 adults. When they sat down to eat, there were x tables. 12 people sat at each table. What is the value of unknown variable x?\n\n"}, {"rol... |
91 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nDetermine the result of $\\sqrt{36} \\cdot \\sqrt{\\sqrt{16}}$.\n\n"}, {"role": "assistant", "content": "We are asked to evaluate the expression:\n\n$$\n\\sqrt{36} \\cdot \\sqrt{\\sqrt{16}}\n$$\n... |
134 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nSarah is buying Christmas presents for her family. She starts her shopping with a certain amount of money. She buys 2 toy cars for $11 each for her sons. She buys a scarf for $10 for her mother. ... |
53 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf $x - y = 12$ and $x + y = 6$, what is the value of $y$?\n\n"}, {"role": "assistant", "content": "We are given the system of equations:\n\n$$\nx - y = 12 \\quad \\text{(1)}\n$$\n$$\nx + y = 6 \... |
438 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nPablo’s mother agrees to pay him one cent for every page he reads. He plans to save the money for some candy. Pablo always checks out books that are exactly 150 pages. After reading his books, he... |
862 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nAfter receiving $100 from her brother on her birthday, Mary spent 1/4 of it on a video game and then used 1/5 of the remaining amount on swimming goggles. How much money does she have left?\n\n"}... |
54 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nSimplify $(1)(2a)(3a^2)(4a^3)(5a^4)$.\n\n"}, {"role": "assistant", "content": "We are given the expression:\n\n$$\n(1)(2a)(3a^2)(4a^3)(5a^4)\n$$\n\n### Step 1: Multiply the constants\n$$\n1 \\cdo... |
455 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf there are initially 600 pines in the national park and the number of redwoods is 20% more than the number of pines, what is the total number of pines and redwoods in the park?\n\n"}, {"role": ... |
467 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nA magazine costs $3 each. Jewel bought x magazines to be sold at $3.50 each. Jewel will gain 5 from selling these.\n\n"}, {"role": "assistant", "content": "Jewel bought $ x $ magazines at $3 each... |
192 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nDetermine the approximate value of 18.4851 when it's rounded to two digits to the right of the decimal.\n\n"}, {"role": "assistant", "content": "To round the number **18.4851** to **two digits to... |
464 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nGertrude the chicken has 10 fleas. The other chicken, Maud has 5 times the amount of fleas as Olive. The final chicken, Olive has half the amount of flees as Gertrude. How many fleas are there... |
225 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nGiven three members of a group -- Alice, Bob, and Carol -- in how many ways can these three be chosen to be the three officers (president, secretary, and treasurer) of the group, assuming no pers... |
525 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nDetermine the value of $n$ in the equation $n + (n + 1) + (n + 2) = 9$.\n\n"}, {"role": "assistant", "content": "We are given the equation:\n\n$$\nn + (n + 1) + (n + 2) = 9\n$$\n\n### Step 1: Sim... |
271 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nOut of the 400 students who attended the party, 70% of them were invited. If 40% of the invited students had their invitation revoked and were not allowed into the party, how many invited student... |
183 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nRandy had x biscuits. His father gave him 13 biscuits as a gift. His mother gave him 15 biscuits. Randy’s brother ate 20 of these biscuits. How many biscuits are Randy left with?\nIf we know the ... |
274 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nCalculate the arithmetic mean of the squares of the first three even numbers.\n\n"}, {"role": "assistant", "content": "The first three even numbers are: \n**2, 4, and 6**\n\nNow, calculate the *... |
244 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf there are no ties, how many different possible orders can Harry, Ron, and Neville finish in their broomstick race?\n\n"}, {"role": "assistant", "content": "We are asked to find how many differ... |
740 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nHarry, Ron, Neville, Hermione, Luna, and Ginny are having a broomstick race. If there are no ties, in how many different possible orders can they finish?\n\n"}, {"role": "assistant", "content": "... |
151 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf $3x-5=10x+9$, what is $4(x+7)$?\n\n"}, {"role": "assistant", "content": "We are given the equation:\n\n$$\n3x - 5 = 10x + 9\n$$\n\n### Step 1: Solve for $x$\n\nSubtract $3x$ from both sides:\n... |
863 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf the price of a math textbook in the school bookshop is $45, and the ones sold in bookshops outside the school are 20% cheaper, how much money can Peter save by purchasing 3 math textbooks from... |
640 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf Cyrus has been contracted to write a 500-page book and he wrote 25 pages on the first day, twice that amount on the second day, and twice the amount on the third day, but only 10 pages on the ... |
610 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nHow far is the point with coordinates (7, -24) from the center (0,0) in a plane with perpendicular axes?\n\n"}, {"role": "assistant", "content": "To find the distance from the point $(7, -24)$ to... |
829 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nEvaluate $\\log_7\\frac{1}{2401}$.\n\n"}, {"role": "assistant", "content": "We are asked to evaluate:\n\n$$\n\\log_7 \\frac{1}{2401}\n$$\n\n### Step 1: Recognize that 2401 is a power of 7\n\nWe k... |
286 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf Ann is charged $120 for a 50-mile taxi ride, and the taxi fare is directly proportional to the distance traveled, how much would she be charged (in dollars) for a 70-mile ride?\n\n"}, {"role":... |
27 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf John drinks 1.5 gallons of water every day, what is the total number of quarts of water he drinks in a week?\n\n"}, {"role": "assistant", "content": "To solve this problem, we need to convert ... |
173 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nThe average of 15 numbers is 92. If the numbers 95 and 89 are removed from the set of numbers, what is the average of the remaining numbers?\n\n"}, {"role": "assistant", "content": "We are given ... |
775 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nCompute the sum of all positive integers $x$ such that $3x-6<21$.\n\n"}, {"role": "assistant", "content": "We are given the inequality:\n\n$$\n3x - 6 < 21\n$$\n\n### Step 1: Solve the inequality\... |
914 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nWhat is the degree measure of an interior angle of a regular pentagon?\n\n"}, {"role": "assistant", "content": "To find the **degree measure of an interior angle** of a **regular pentagon**, we c... |
675 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf a car comes down the road from the base camp to the chain challenge every 20 minutes and 30 cars have passed, how many hours have elapsed?\n\n"}, {"role": "assistant", "content": "If a car com... |
402 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf Hannah's family has ten pigs on their farm and the number of cows is three less than twice the number of pigs, and there are six more goats than cows, what is the total number of animals on th... |
372 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nAt a party with 23 attendees, each person can shake hands with a maximum of 22 other people. If each pair of people can shake hands at most once, what is the maximum number of handshakes that can... |
687 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nWhat is the sum of the whole-number factors of 36?\n\n"}, {"role": "assistant", "content": "To find the **sum of the whole-number factors of 36**, we first need to identify all the **positive int... |
142 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nWhat is the value of the smallest number in a set of three numbers with a sum of 72 if they are proportioned as 1:3:4?\n\n"}, {"role": "assistant", "content": "We are given that three numbers are... |
223 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nWhat is the units digit of $3^6$ when it is computed?\n\n"}, {"role": "assistant", "content": "We are asked to find the **units digit** of $ 3^6 $.\n\nLet's compute $ 3^6 $ step by step:\n\n$$\n3... |
120 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIf each level of the historical tower has eight steps and each step consists of three blocks of stone, and Clara has climbed past a total of 96 blocks of stone by the time she reaches the top, ho... |
170 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nDetermine the value of $x^5 - 5x$ when $x = 4$.\n\n"}, {"role": "assistant", "content": "We are asked to evaluate the expression:\n\n$$\nx^5 - 5x\n$$\n\nwhen $ x = 4 $.\n\n### Step 1: Substitute ... |
401 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nIn a Math competition, Sammy scored 20 points, Gab scored twice as many as Sammy's score, while Cher scored twice as many as Gab's score. If their opponent scored 85 points, how many more points ... |
811 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nCompute $\\arcsin (-1).$ Express your answer in radians.\n\n"}, {"role": "assistant", "content": "We are asked to compute:\n\n$$\n\\arcsin(-1)\n$$\n\nThe **arcsine function**, $\\arcsin(x)$, is ... |
856 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nPaul went to a shop to buy some groceries. He bought some bread for $2, butter for $3, and juice for two times the price of the bread. He had $x for his shopping. Paul had 6 money left. What is t... |
946 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nDetermine the coordinate pair where the line defined by the equation $3x + 5y = 20$ intersects the y-axis.\n\n"}, {"role": "assistant", "content": "To find the point where the line defined by the... |
388 | [{"role": "user", "content": "Please solve the following problem and put your answer at the end with \"The answer is: \".\n\nKim earned scores of 87, 83, 88, and 90 on her first four mathematics examinations. If she also receives a score of 92 on her fifth exam, then by how much will her average increase compared to th... |
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