messages listlengths 2 2 | conversation_id int64 1 2k |
|---|---|
[
{
"content": "Ahn picks a three-digit integer, subtracts it from 500, then triples the result. What is the largest number Ahn can get?\nA) 1000\nB) 1100\nC) 1200\nD) 1300",
"role": "user"
},
{
"content": "<think>\nFirst, I need to understand the operation Ahn is performing. She takes a three-digit i... | 1,632 |
[
{
"content": "When you multiply a particular number by 6, you get 72. what is that number?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine the number that, when multiplied by 6, equals 72.\n\nTo find this number, I can set up the equation 6 × x = 72.\n\nNext, I will solve for x... | 286 |
[
{
"content": "Let \\[g(x) = \\left\\{\n\\begin{array}{cl}\nx^3 &\\text{ if } x > 2, \\\\\n2x &\\text{ if } x \\le 2.\n\\end{array}\n\\right.\\] Find $g(g(g(1)))$.",
"role": "user"
},
{
"content": "<think>\nFirst, I need to evaluate the innermost function call, which is \\( g(1) \\). Since \\( 1 \\le... | 1,269 |
[
{
"content": "The total in-store price for an appliance is $\\textdollar 99.99$. A television commercial advertises the same product for three easy payments of $\\textdollar 29.98$ and a one-time shipping and handling charge of $\\textdollar 9.98$. How many cents are saved by buying the appliance from the telev... | 748 |
[
{
"content": "Simplify first, then evaluate: $3(a^{2}-ab+7)-2(3ab-a^{2}+1)+3$, where $a=2$ and $b=\\frac{1}{3}$.",
"role": "user"
},
{
"content": "<think>\nFirst, I need to simplify the given expression \\( 3(a^{2} - ab + 7) - 2(3ab - a^{2} + 1) + 3 \\). I'll start by distributing the constants thro... | 391 |
[
{
"content": "Find the complex conjugate of the complex number $z=(3+2i)i$.",
"role": "user"
},
{
"content": "<think>\nFirst, I need to simplify the given complex number \\( z = (3 + 2i)i \\).\n\nI'll start by distributing the \\( i \\) across the terms inside the parentheses:\n\\[\nz = 3i + 2i^2\n\... | 167 |
[
{
"content": "Evaluate the expression: | 5 - 8 ( 3 - 12 ) | - | 5 - 11 | = ?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to evaluate the expression inside the first absolute value: 5 minus 8 times the quantity (3 minus 12). I'll start by calculating the value inside the parentheses.\n\n... | 657 |
[
{
"content": "At present, the ratio between the ages of Arun, Deepak, and Kamal is 5:7:9. In 6 years, Arun's age will be 36 years, and Kamal will be twice Deepak's age at that time. What is the age of Deepak at present?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine the curren... | 261 |
[
{
"content": "Solve for \\( x \\): \\[\\frac{x-12}{3} = \\frac{3x + 9}{8}.\\]",
"role": "user"
},
{
"content": "<think>\nI need to solve the equation \\(\\frac{x-12}{3} = \\frac{3x + 9}{8}\\) for \\(x\\). \n\nFirst, I'll eliminate the fractions by finding a common denominator. The denominators are 3... | 1,864 |
[
{
"content": "A circle has an area of $4\\pi$ square units. What is the length of the circle's diameter, in units?",
"role": "user"
},
{
"content": "<think>\nFirst, I recognize that the area of a circle is given by the formula \\( A = \\pi r^2 \\), where \\( r \\) is the radius of the circle.\n\nGiv... | 1,116 |
[
{
"content": "Simplify $\\sqrt{3600}$.",
"role": "user"
},
{
"content": "<think>\nI need to simplify the square root of 3600. First, I'll try to find a perfect square that multiplies by another number to give 3600. I know that 60 times 60 is 3600, so 3600 is a perfect square. Therefore, the square r... | 240 |
[
{
"content": "Calculate the average of all the numbers between 10 and 50 that are divisible by both 3 and 4.",
"role": "user"
},
{
"content": "<think>\nFirst, I need to identify the numbers between 10 and 50 that are divisible by both 3 and 4. Since a number divisible by both 3 and 4 must be a multi... | 1,427 |
[
{
"content": "The probability it will snow on Friday is $40\\%$, and the probability it will snow on Saturday is $30\\%$. If the probability of snow on a given day is independent of the weather on any other day, what is the probability it will snow on both days, expressed as a percent?",
"role": "user"
},... | 1,888 |
[
{
"content": "Given the parabola $y^2 = 2px$ ($p > 0$) with the directrix line $x = -1$, find the coordinates of the focus.",
"role": "user"
},
{
"content": "<think>\nOkay, so I have this problem about a parabola, and I need to find the coordinates of its focus. The equation given is \\( y^2 = 2px \... | 1,643 |
[
{
"content": "Willy has x stuffed animals. His mom gives him y more stuffed animals for his birthday. After his birthday, if his dad gives him z times more stuffed animals than he has, how many stuffed animals does Willy have in total?",
"role": "user"
},
{
"content": "<think>\nFirst, determine the ... | 698 |
[
{
"content": "Find the number greater than 1.1 among the five numbers 1.4, 9/10, 1.2, 0.5 and 13/10, and find the number of that numbers.",
"role": "user"
},
{
"content": "<think>\nFirst, I need to identify which of the five numbers are greater than 1.1.\n\nI'll start by converting all the numbers t... | 251 |
[
{
"content": "The arithmetic mean (average) of four numbers is $90$. If the largest of these numbers is $100$, then the mean of the remaining three numbers is:\n$\\text{(A)}\\ 85.0 \\qquad \\text{(B)}\\ 86.0 \\qquad \\text{(C)}\\ 86.\\overline{6} \\qquad \\text{(D)}\\ 87.0 \\qquad \\text{(E)}\\ 87.5$",
"rol... | 1,423 |
[
{
"content": "She estimated the number of candies that she will receive from each block. If she will receive around 7 pieces of candies from every house, and there are some houses in a block, she will receive 35 candies from each block. How many houses are in a block?",
"role": "user"
},
{
"content"... | 49 |
[
{
"content": "the average age of a class of 20 students is 21 years . the average increased by 1 when the teacher ' s age also included . what is the age of the teacher ?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine the total age of the 20 students by multiplying the average... | 283 |
[
{
"content": "Chris mixed 3 pounds of raisins with 3 pounds of nuts. If a pound of nuts costs a certain multiple of the cost of a pound of raisins, then the total cost of the raisins was 0.25 of the total cost of the mixture. What is the ratio of the cost of a pound of nuts to the cost of a pound of raisins?",
... | 1,073 |
[
{
"content": "The mean of $7, 11$, and $19$ is equal to the mean of $16, 18$, and $y$. What is the value of $y$?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to find the mean of the numbers 7, 11, and 19. To do this, I'll add them together and then divide by 3.\n\nNext, I'll set this mea... | 1,628 |
[
{
"content": "Elena rolls two six-sided dice. What is the probability that she will roll a number greater than four on the first die and a number greater than two on the second die? Express your answer as a common fraction.",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine the pr... | 348 |
[
{
"content": "Jack is a soccer player. He needs to buy two pairs of socks and a pair of soccer shoes. Each pair of socks cost $9.50, and the shoes cost $92. Jack has $40. How much more money does Jack need?",
"role": "user"
},
{
"content": "<think>\nOkay, so Jack needs to buy some soccer gear, right... | 1,701 |
[
{
"content": "Ed and Jacob already had some shells in their shell collection. Then they went to the beach to collect even more. Ed found 7 limpet shells, 2 oyster shells, and 4 conch shells. Jacob found 2 more shells than Ed did. The pair have altogether 30 shells. How many shells did they have initially in the... | 1,046 |
[
{
"content": "The two numbers adjacent to 10000 are (　　)\nA: 9999 and 10001\nB: 9999 and 10010\nC: 9990 and 10001\nD:",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine the two numbers that are immediately adjacent to 10,000. \n\nTo find the number before 10,000, I subtract 1 from... | 449 |
[
{
"content": "Scarlett made a fruit salad using 0.35 pound of melon, 0.48 pound of berries, 0.29 pound of grapes, 0.56 pound of pineapple, and 0.17 pound of oranges. In all, Scarlett used _____ pounds of fruit.",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine the total weight of... | 1,592 |
[
{
"content": "Line $p$ is parallel to line $q$, and the measure of $\\angle A$ is $\\frac 14$ the measure of $\\angle B$. Determine the degree measure of $\\angle C$ in the same setup as the original problem.",
"role": "user"
},
{
"content": "<think>\nFirst, I need to understand the relationship bet... | 1,358 |
[
{
"content": "If events E and F are independent, and $P(E) = P(F) = \\frac{1}{4}$, then the value of $P(E \\cap F)$ is equal to (　　)\nA: 0\nB: $\\frac{1}{16}$\nC: $\\frac{1}{4}$\nD: $\\frac{1}{2}$",
"role": "user"
},
{
"content": "<think>\nOkay, so I have this probability problem here. It says that ... | 1,797 |
[
{
"content": "Convert the binary number $1101_{(2)}$ to a base-5 number.",
"role": "user"
},
{
"content": "<think>\nFirst, I need to convert the binary number \\(1101_{(2)}\\) to its decimal equivalent. I'll do this by expanding the binary number into its positional values and summing them up.\n\nNe... | 1,140 |
[
{
"content": "The cost of a slice of cake is three-fourths of the cost of a cup of milk tea. If the milk tea costs $2.40, how much do 2 slices of cake and 1 cup of milk tea cost?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine the cost of one slice of cake. The problem states t... | 48 |
[
{
"content": "Write a one-variable linear equation with a solution of $x=-2$ ______.",
"role": "user"
},
{
"content": "<think>\nTo create a one-variable linear equation with a solution of \\( x = -2 \\), I start by considering the fundamental structure of such an equation, which is \\( ax + b = 0 \\... | 936 |
[
{
"content": "what is the probability that jamie and tom will get selected for a job they both applied for in a company , given that their chances of getting selected is 2 / 3 and 5 / 7 respectively ?",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to figure out the probability that both ... | 1,682 |
[
{
"content": "How many positive factors of 200 are perfect squares?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to find the prime factorization of 200. Breaking it down, 200 can be expressed as \\(2^3 \\times 5^2\\).\n\nNext, to determine the number of positive factors of 200 that are p... | 215 |
[
{
"content": "sheela deposits rs . 2500 in bank savings account . if this is 25 % of her monthly income . what is her monthly income in ?",
"role": "user"
},
{
"content": "<think>\nFirst, I recognize that Sheela deposits Rs. 2500, which represents 25% of her monthly income.\n\nTo find her total mont... | 81 |
[
{
"content": "sales price is $ 44 , gross profit is 120 % of cost , what is the value of gross profit ?",
"role": "user"
},
{
"content": "<think>\nOkay, so I'm trying to figure out this problem where the sales price is $44, and the gross profit is 120% of the cost. I need to find the value of the gr... | 1,557 |
[
{
"content": "Two employees X and Y are paid a total of Rs. 560 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine how much Y is paid per week. I know that the total payment to ... | 264 |
[
{
"content": "Find the largest prime factor of $12321$.",
"role": "user"
},
{
"content": "<think>\nTo find the largest prime factor of 12321, I start by recognizing that 12321 is a perfect square. Specifically, it is equal to 111 squared. This allows me to factor 12321 as 111 multiplied by itself.\n... | 176 |
[
{
"content": "Among the following numbers, the positive integers are:\n\nA: $3$\n\nB: $2.1$\n\nC: $0$\n\nD: $-2$",
"role": "user"
},
{
"content": "<think>\nOkay, so I have this question here that asks me to identify which of the given options are positive integers. The options are:\n\nA: 3\n\nB: 2.1... | 436 |
[
{
"content": "Noa scored some points to win a bowl, and Phillip scores twice that number. The total number of points Noa and Phillip scored to win the bowl is 90. How many points did Noa score?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine how many points Noa scored. Let's de... | 108 |
[
{
"content": "Ali is a baker. Leila ordered 3 chocolate cakes for $12 each and 6 strawberry cakes for a certain price each. Leila should pay Ali $168. How much does each strawberry cake cost?",
"role": "user"
},
{
"content": "<think>\nFirst, calculate the total cost of the chocolate cakes by multipl... | 767 |
[
{
"content": "Julie is making caesar salad for a family picnic. At the market, she spends $8 on green lettuce and $6 on red lettuce. If each type of lettuce costs $2 per pound, how many total pounds of lettuce did she buy?",
"role": "user"
},
{
"content": "<think>\nFirst, determine the cost per poun... | 718 |
[
{
"content": "A large $15$ by $20$ rectangular region has a designated section that is $\\frac{1}{5}$ of its entire area. If $\\frac{1}{4}$ of this section is shaded, what fraction of the large rectangular region is shaded?\nA) $\\frac{1}{24}$,\nB) $\\frac{1}{20}$,\nC) $\\frac{1}{15}$,\nD) $\\frac{1}{10}$,\nE) ... | 1,270 |
[
{
"content": "If a certain toy store's revenue in November was 2/5 of its revenue in December and its revenue in January was 1/3 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?",
"role": "user"
},
... | 1,582 |
[
{
"content": "If 20% of a number equals a certain value, then 120% of that number is 1800. What is the value?",
"role": "user"
},
{
"content": "<think>\nFirst, let's define the unknown number as \\( x \\).\n\nAccording to the problem, 120% of \\( x \\) is 1800. This can be written as:\n\\[\n1.2x = 1... | 600 |
[
{
"content": "4 black cards were taken out from a deck of cards. Find the count of remaining black cards",
"role": "user"
},
{
"content": "<think>\nFirst, recognize that a standard deck of cards contains 52 cards, with half being black and half being red. This means there are 26 black cards in total... | 786 |
[
{
"content": "What is the remainder when the sum of the numbers from 1 to 15 is divided by 11?",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to find the remainder when the sum of the numbers from 1 to 15 is divided by 11. Hmm, let me think about how to approach this. \n\nFirst, I rememb... | 652 |
[
{
"content": "Suppose that $4$ is a factor of $a$, $a$ is a divisor of $24$, and $a$ is positive. What is the number of possible values of $a$?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to find all the positive divisors of 24. The divisors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.\n\nNe... | 484 |
[
{
"content": "Paul made forty-four dollars mowing lawns and some money weed eating. If he only spent nine dollars a week, the money would last him 8 weeks. How much money did he make weed eating?",
"role": "user"
},
{
"content": "<think>\nOkay, let's see. So, Paul made some money mowing lawns and so... | 71 |
[
{
"content": "In the geometric sequence $\\{a_n\\}$, it is known that $a_1 = -1$ and the common ratio $q = 2$. The value of the sum of the first six terms $S_6$ of the sequence is ______.",
"role": "user"
},
{
"content": "<think>\nFirst, identify the given values: the first term \\( a_1 = -1 \\) and... | 1,061 |
[
{
"content": "Calculate the units digit of the sum of the seven terms of the sequence $1 \\cdot 1!, \\, 2 \\cdot 2!, \\, 3 \\cdot 3!, \\, \\ldots, \\, 7 \\cdot 7!$.",
"role": "user"
},
{
"content": "<think>\nOkay, so I need to find the units digit of the sum of seven terms in the sequence where each... | 1,333 |
[
{
"content": "A group of people participate in various curriculums, with the following participation numbers: 50 practice Yoga (Y), 30 study Cooking (C), 20 study Weaving (W), 15 are involved in Pottery (P), and 10 participate in Dancing (D). The number of people participating in each pair of activities is as f... | 1,476 |
[
{
"content": "The cost price of a radio is Rs. 1500 and it was sold for Rs. 1260. What is the loss percentage?",
"role": "user"
},
{
"content": "<think>\nFirst, identify the cost price and the selling price of the radio.\n\nNext, calculate the loss by subtracting the selling price from the cost pric... | 796 |
[
{
"content": "Ellen had some Legos, but she lost 17 Legos. She has 2063 Legos now. How many Legos did Ellen have initially?",
"role": "user"
},
{
"content": "<think>\nFirst, I recognize that Ellen currently has 2063 Legos after losing 17 Legos.\n\nTo find out how many Legos she had initially, I need... | 582 |
[
{
"content": "Find the number halfway between $\\frac{1}{8}$ and $\\frac{1}{3}$.\nA) $\\frac{1}{5}$\nB) $\\frac{7}{36}$\nC) $\\frac{11}{48}$\nD) $\\frac{5}{24}$\nE) $\\frac{1}{3}$",
"role": "user"
},
{
"content": "<think>\nFirst, I need to find the number that is halfway between \\(\\frac{1}{8}\\) a... | 1,418 |
[
{
"content": "Let $H$ be a regular hexagon. How many circles in the plane of $H$ have a diameter both of whose endpoints are vertices of $H$?\n$\\mathrm{(A) \\ }1 \\qquad \\mathrm{(B) \\ }2 \\qquad \\mathrm{(C) \\ }3 \\qquad \\mathrm{(D) \\ }4 \\qquad \\mathrm{(E) \\ }6$",
"role": "user"
},
{
"conte... | 344 |
[
{
"content": "John has $25$ dollars and $45$ cents. He wants to buy as many notebooks as possible, where each notebook costs $2$ dollars and $35$ cents. However, for every $5$ notebooks he buys, he gets a $15$ cents discount on each notebook. How many notebooks can John buy?",
"role": "user"
},
{
"c... | 798 |
[
{
"content": "In the polar coordinate system, given two points $A(2, \\frac{\\pi}{6})$, $B(3, \\frac{\\pi}{6})$, the length of the line segment is\n\nA: $\\sqrt{3}$\n\nB: $\\sqrt{2}$\n\nC: $1$\n\nD: $2$",
"role": "user"
},
{
"content": "<think>\nFirst, I recognize that both points \\( A(2, \\frac{\\... | 1,420 |
[
{
"content": "The table shows the number of vehicles at Bill's car dealership that have certain features: 60% have power windows, 25% have anti-lock brakes, and some percentage have a CD player. No vehicle has all 3 features, but 10% have power windows and anti-lock brakes, 15% have anti-lock brakes and a CD pl... | 1,181 |
[
{
"content": "A person buys an article at a certain price. He sells the article at a price that gives him a profit of 35%, which is Rs. 675. What was the original price of the article?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine the original price of the article, which I'll... | 1,462 |
[
{
"content": "In an examination, there were 2,000 candidates, out of which 900 candidates were girls and the rest were boys. If 28% of the boys and 32% of the girls passed, what is the total percentage of failed candidates?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine the nu... | 1,028 |
[
{
"content": "The ratio of the number of girls to the number of boys in a class of 24 students is \\(3:5\\). How many fewer girls than boys are in the class?\n\n(A) 2 \n(B) 4 \n(C) 5 \n(D) 6 \n(E) 8",
"role": "user"
},
{
"content": "<think>\nFirst, I need to understand the given ratio of girls t... | 1,570 |
[
{
"content": "How many liters of pure alcohol must be added to a 100-liter solution that is 20 percent alcohol in order to produce a solution that is 30 percent alcohol?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine how much pure alcohol is already in the 100-liter solution. ... | 1,891 |
[
{
"content": "Carlos is doing his laundry. He needs to wash two loads, which takes 45 minutes per load. Then he can combine both loads and dry them, which takes 75 minutes. How long does his laundry take in total?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine the total time C... | 986 |
[
{
"content": "A group of students decided to collect as many paise from each member of the group as is the number of members. If there are 88 members in the group, what is the total collection amount in rupees?",
"role": "user"
},
{
"content": "<think>\nFirst, identify the number of members in the g... | 981 |
[
{
"content": "Given that the parametric equation of line $l$ is $\\begin{cases} x=-1-\\frac{\\sqrt{2}}{2}t, \\\\ y=2+\\frac{\\sqrt{2}}{2}t \\end{cases}$ ($t$ is the parameter), find the slope of line $l$ ( ).\nA: $1$\nB: $-1$\nC: $\\frac{\\sqrt{2}}{2}$\nD: $-\\frac{\\sqrt{2}}{2}$",
"role": "user"
},
{
... | 382 |
[
{
"content": "Jesse has 21 bananas. If he shares them among 3 friends, each friend would get _____ bananas .",
"role": "user"
},
{
"content": "<think>\nI need to determine how many bananas each of Jesse's 3 friends will receive if he shares his 21 bananas equally among them.\n\nFirst, I'll identify ... | 29 |
[
{
"content": "Bill composes 20 total math questions for money. Ryan composes twice as many problems as Bill, and Frank composes some problems. Assuming each person has to compose 4 different types of math problems in equal proportion out of the total amount, Frank composes 30 problems of each type. What is the ... | 760 |
[
{
"content": "A bear eats up to 90 pounds of food per day to prepare for hibernation. If Victor weighs 126 pounds, how many \"Victors\" worth of food would a bear eat in a certain number of weeks if it eats 15 \"Victors\" worth of food in 3 weeks?",
"role": "user"
},
{
"content": "<think>\nFirst, I ... | 1,335 |
[
{
"content": "Given the function $f(x)=a^{x}-1$ whose graph passes through the point $(1,1)$, find $f^{-1}(3)$.",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine the value of \\( a \\) in the function \\( f(x) = a^x - 1 \\) using the fact that the graph passes through the point \... | 1,377 |
[
{
"content": "On dividing a number by 20, the quotient is 6 and the remainder is 2. What is the number being divided?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine the number that, when divided by 20, gives a quotient of 6 and a remainder of 2.\n\nI recall that the formula fo... | 473 |
[
{
"content": "Eric has 3 boxes of pencils. Each box holds a certain number of pencils. Eric has 27 pencils in total. How many pencils does each box hold?",
"role": "user"
},
{
"content": "<think>\nOkay, so I have this problem here: Eric has 3 boxes of pencils, and each box holds a certain number of ... | 1,261 |
[
{
"content": "Jimmy decides to make sandwiches for a picnic. He makes 8 sandwiches in total, using two slices of bread each. How many packs of bread does he need to buy to make these sandwiches, assuming he starts with no bread and each pack has 4 slices of bread in it?",
"role": "user"
},
{
"cont... | 181 |
[
{
"content": "A certain amount of money is divided into two parts such that one part is put out at 3% and the other at 5%. The annual interest earned from both the investments is Rs 144, and the first part is Rs 800. What is the total amount of money divided into two parts?",
"role": "user"
},
{
"co... | 1,415 |
[
{
"content": "The age difference between Asaf and Alexander's age is half the total number of pencils Asaf has. The sum of their ages is 140, and Asaf is 50 years old. If Alexander has 60 more pencils than Asaf, calculate the total number of pencils they have together.",
"role": "user"
},
{
"content... | 1,230 |
[
{
"content": "There is a box A that is 3 centimeters (cm) high and box B with 3.5 centimeters (cm) high. Taehyung stacked the boxes A and Yoongi stacked the boxes B. If Taehyung and Yoongi each stacked the boxes up to 16th and 14th floors, respectively, find out who stacked the boxes higher.",
"role": "user... | 1,436 |
[
{
"content": "At lunch, a waiter had some customers and 5 of them didn't leave a tip. He got $3 each from the ones who did tip and earned $15. How many customers did the waiter have in total?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine how many customers left a tip. The wai... | 1,232 |
[
{
"content": "Let set $M=\\{x|x>1\\}$, and $P=\\{x|x>1 \\text{ or } x<-1\\}$. Among the following relations, the correct one is ( )\n\nA: $M=P$\n\nB: $M\\cup P=M$\n\nC: $M\\cup P=P$\n\nD: $M\\cap P=P$",
"role": "user"
},
{
"content": "<think>\nAlright, so I've got this problem here about two sets, M... | 1,825 |
[
{
"content": "Given that the graph of a linear function passes through the points (3, 5) and (-4, -9),\n(1) Find the equation of this linear function;\n(2) Determine whether the point (-1, -3) is on the graph of this linear function.",
"role": "user"
},
{
"content": "<think>\nFirst, I need to find t... | 581 |
[
{
"content": "Which of the following understandings of algorithms is incorrect?\nA. An algorithm consists of a finite number of steps.\nB. Every step in an algorithm is clearly defined and executable, not ambiguous.\nC. The outcome of an algorithm is definitive after its execution.\nD. There can only be one alg... | 1,125 |
[
{
"content": "Debora has 12 more dresses than Melissa. Melissa has half the number of dresses Emily has. If Emily has 16 dresses, and Sophia has 5 fewer dresses than Debora, how many dresses do the four of them have in total?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine how ... | 1,291 |
[
{
"content": "A swimmer can swim a certain distance against the current of a river which flows at 1.7 km/hr, given that he can swim in still water at 3 km/h. It takes him 2.3076923076923075 hours to swim the distance. What is the distance he swam against the current?",
"role": "user"
},
{
"content":... | 1,086 |
[
{
"content": "A 6-liter solution has a certain percentage of alcohol. To produce a solution that is 50% alcohol, 3.6 liters of pure alcohol must be added. What is the initial percentage of alcohol in the solution?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine the initial amou... | 1,417 |
[
{
"content": "A football team lost some yards and then gained 13 yards. The team's progress is 8 yards. How many yards did the team lose initially?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine how many yards the team lost initially. Let's denote the initial loss as \\( L \\)... | 883 |
[
{
"content": "Which of the following operations is correct?\n\nA: $x^{8}\\div x^{2}=x^{4}$\n\nB: $2a^{2}b\\cdot 4ab^{3}=8a^{3}b^{4}$\n\nC: $\\left(-x^{5}\\right)^{4}=-x^{20}$\n\nD: $\\left(a+b\\right)^{2}=a^{2}+b^{2}$",
"role": "user"
},
{
"content": "<think>\nOkay, so I have this problem here with ... | 1,579 |
[
{
"content": "a train 200 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine the relative speed between the tra... | 1,661 |
[
{
"content": "Let $a = \\log 0.32$, $b = \\log 0.33$, $c = 20.3$, and $d = 0.32$. The relationship among these four numbers is ( )\nA: $a < b < c < d$\nB: $b < a < d < c$\nC: $b < a < c < d$\nD: $d < c < a < b$",
"role": "user"
},
{
"content": "<think>\nFirst, I need to understand the values of \\( ... | 1,657 |
[
{
"content": "If a - b = 5 and a^2 + b^2 = 34, find the value of ab.",
"role": "user"
},
{
"content": "<think>\nFirst, I recognize that I have two equations involving \\( a \\) and \\( b \\):\n1. \\( a - b = 5 \\)\n2. \\( a^2 + b^2 = 34 \\)\n\nMy goal is to find the value of \\( ab \\).\n\nTo connec... | 1,286 |
[
{
"content": "Compare the sizes: $\\sqrt{20}$______$5$ (Fill in \"$>$\", \"$<$\", or \"$=$\").",
"role": "user"
},
{
"content": "<think>\nFirst, I need to compare the sizes of √20 and 5.\n\nTo make the comparison easier, I'll express 5 as a square root. Since 5 is equal to √25, I can rewrite the com... | 594 |
[
{
"content": "Simplify $\\sqrt{360000}$.",
"role": "user"
},
{
"content": "<think>\nFirst, I need to simplify the square root of 360,000. I'll start by expressing 360,000 as a product of two numbers that are easier to work with.\n\nI notice that 360,000 can be broken down into 3600 multiplied by 100... | 185 |
[
{
"content": "Let set $A = \\{-1, 0, 1\\}$, and set $B = \\{x | x = m^2 + 1, m \\in \\mathbb{R}\\}$. Find $A \\cap B$.",
"role": "user"
},
{
"content": "<think>\nOkay, so I have this problem where I need to find the intersection of two sets, A and B. Set A is given as {-1, 0, 1}, which is pretty str... | 362 |
[
{
"content": "Samantha's graduation ceremony is on a Monday this year. What day of the week will it be $85$ days after her graduation?\nA) Monday\nB) Tuesday\nC) Wednesday\nD) Thursday\nE) Friday",
"role": "user"
},
{
"content": "<think>\nFirst, I recognize that the days of the week repeat every 7 d... | 175 |
[
{
"content": "A batsman scored 120 runs which included 3 boundaries and some sixes. He made 50% of his total score by running between the wickets. How many sixes did he hit?",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine the total runs scored by the batsman, which is 120 runs.... | 1,485 |
[
{
"content": "Convert the base three number $20221_3$ to a base ten number.",
"role": "user"
},
{
"content": "<think>\nFirst, I need to understand the structure of the base three number \\(20221_3\\). Each digit represents a power of 3, starting from the rightmost digit, which is \\(3^0\\).\n\nNext,... | 1,610 |
[
{
"content": "Let the universal set \\\\(U=\\{0,-1,-2,-3,-4\\}\\\\), and the set \\\\(M=\\{0,-1,-2\\}\\\\). Then, the complement of \\\\(M\\\\) in \\\\(U\\\\), denoted as \\\\(\\complement_{U}M\\\\), is (　).\n\nA: \\\\(\\{0\\}\\) \nB: \\\\(\\{-3,-4\\}\\) \nC: \\\\(\\{-1,-2\\}\\) \nD: \\\\(\\varnothing\\)",
... | 1,151 |
[
{
"content": "In a circle with center $R$, there are two radii $RS$ and $RT$ each measuring 7 units. Calculate the perimeter of the shaded region formed by these two radii and a $\\frac{5}{6}$ arc connecting points $S$ and $T$.",
"role": "user"
},
{
"content": "<think>\nFirst, I need to determine th... | 1,503 |
[
{
"content": "The zero of the function $f(x) = 1 - \\log_{2}x$ is (　　) \nA: $(1, 1)$ \nB: $1$ \nC: $(2, 0)$ \nD: $2$",
"role": "user"
},
{
"content": "<think>\nTo find the zero of the function \\( f(x) = 1 - \\log_{2}x \\), I need to determine the value of \\( x \\) for which \\( f(x) = 0 \\).\n... | 112 |
[
{
"content": "Sandy gets some marks for each correct sum and loses 2 marks for each incorrect sum. Sandy attempts 30 sums and obtains 60 marks. Sandy got 24 sums correct. How many marks does Sandy get for each correct sum?",
"role": "user"
},
{
"content": "<think>\nTo determine how many marks Sandy ... | 249 |
[
{
"content": "Given that the number $1234560G$ is divisible by $9$, where $G$ is a single-digit number, find the sum of all possible values of $G$.",
"role": "user"
},
{
"content": "<think>\nTo determine the possible values of \\( G \\) that make the number \\( 1234560G \\) divisible by 9, we start ... | 1,945 |
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