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[ { "content": "There were 27 boys and 35 girls on the playground at recess. There were _____ children on the playground at recess.", "role": "user" }, { "content": "<think>\nOkay, let me try to figure this out. So the problem says there were 27 boys and 35 girls on the playground at recess. We need t...
[ { "content": "John purchased three dozen oranges for $\\$$28.80. At the same rate, how much would five dozen of these oranges cost?", "role": "user" }, { "content": "<think>\nOkay, let's see. John bought three dozen oranges for $28.80. I need to find out how much five dozen would cost at the same ra...
[ { "content": "Bianca earned 5 points for each bag of cans she recycled. If she had 17 bags, but didn't recycle 8 of them, how many points would she have earned?", "role": "user" }, { "content": "<think>\nOkay, let's see. Bianca earned 5 points for each bag of cans she recycled. She had 17 bags in to...
[ { "content": "Each bottle cap costs $2. How much do 6 bottle caps cost?", "role": "user" }, { "content": "<think>\nOkay, let's see. The problem says each bottle cap costs $2, and we need to find out how much 6 bottle caps cost. Hmm, so if one bottle cap is $2, then for six of them, I guess I just mu...
[ { "content": "Jack received 6 emails in the morning and some emails in the afternoon. He received 2 more emails in the afternoon than in the morning. How many emails did Jack receive in the afternoon?", "role": "user" }, { "content": "<think>\nOkay, let's see. The problem says Jack received 6 emails...
[ { "content": "Leif’s apple tree has 14 apples and his orange tree has 2 dozen oranges. How many more oranges does he have than apples?", "role": "user" }, { "content": "<think>\nOkay, let's see. Leif has an apple tree with 14 apples and an orange tree with 2 dozen oranges. The question is asking how...
[ { "content": "Compare the sizes: $\\pi$ ____ $3.14$ (fill in the blank with $=$, $>$, or $<$).", "role": "user" }, { "content": "<think>\nOkay, so I need to compare π and 3.14. Let me think. I remember that π is a Greek letter that represents the ratio of a circle's circumference to its diameter. Bu...
[ { "content": "Find the value of adding 3 to the number of diagonals in the rectangle.", "role": "user" }, { "content": "<think>\nOkay, let's see. The problem is asking for the value of adding 3 to the number of diagonals in a rectangle. Hmm, first, I need to figure out how many diagonals a rectangle...
[ { "content": "The zoo keeps 35 female (a) animals. Males outnumber females by 7. How many (a) animals are there in all?", "role": "user" }, { "content": "<think>\nOkay, let's see. The problem says the zoo keeps 35 female animals. Then it says males outnumber females by 7. So I need to find the tota...
[ { "content": "Jessica has 3 dozen red marbles. Sandy has 4 times more red marbles than Jessica. How many red marbles does Sandy have?", "role": "user" }, { "content": "<think>\nOkay, let's see. The problem says Jessica has 3 dozen red marbles. First, I need to figure out how many marbles that is. A ...
[ { "content": "Marguerite drove 150 miles in 3 hours. If Sam drove for 4.5 hours at the same average rate as Marguerite, how many miles did he drive?", "role": "user" }, { "content": "<think>\nOkay, let's see. Marguerite drove 150 miles in 3 hours. So, first, I need to figure out her average speed. T...
[ { "content": "The Sumata family took a vacation by car. Each day they drove 250 miles. They drove 1250 miles in total. How many days did their vacation last?", "role": "user" }, { "content": "<think>\nOkay, let's see. The Sumata family drove 250 miles each day and total they drove 1250 miles. I need...
[ { "content": "Eugene has 51.0 pencils. He gives some pencils to Joyce and has 45 pencils left. How many pencils did Eugene give to Joyce?", "role": "user" }, { "content": "<think>\nOkay, let's see. Eugene has 51.0 pencils initially. Then he gives some to Joyce and is left with 45. The question is as...
[ { "content": "2 birds and 6 storks were sitting on the fence. 3 more birds came to join them. How many more storks than birds are sitting on the fence?", "role": "user" }, { "content": "<think>\nOkay, let's see. The problem says there are 2 birds and 6 storks sitting on the fence. Then 3 more birds ...
[ { "content": "For Halloween, Sarah received 66 pieces of candy from neighbors and 15 pieces from her older sister. She ate a certain number of pieces a day, and the candy lasted her 9 days. How many pieces of candy did she eat per day?", "role": "user" }, { "content": "<think>\nOkay, let's see. Sara...
[ { "content": "Tom had 27 pennies and 15 dimes in his bank. His dad gave him 33 dimes and 49 nickels. How many dimes does he have now?", "role": "user" }, { "content": "<think>\nOkay, let's see. Tom originally had 27 pennies and 15 dimes. Then his dad gave him 33 dimes and 49 nickels. The question is...
[ { "content": "Big boxes contain 7 dolls each. Small boxes contain 4 dolls each. There are 5 big boxes and 9 small boxes. How many dolls are there in total?", "role": "user" }, { "content": "<think>\nOkay, let's see. The problem is about figuring out the total number of dolls in big and small boxes. ...
[ { "content": "Put 6 kg of salt into 30 kg of water. The weight of the salt accounts for what fraction of the total weight of the saltwater solution?\n\nA: $\\boxed{\\frac{1}{5}}$\n\nB: $\\boxed{\\frac{1}{6}}$\n\nC: $\\boxed{\\frac{1}{30}}$\n\nD:", "role": "user" }, { "content": "<think>\nOkay, let's...
[ { "content": "In a geometric configuration, angle $C$ measures $120^\\circ$ and forms a linear pair with angle $D$. In an adjacent triangle, angle $E$ measures $50^\\circ$ and angle $F$ is congruent to angle $D$. Determine the measure of angle $G$, the third angle in the triangle containing angles $E$ and $F$.\...
[ { "content": "There are 10 balls. Jungkook wants to put 5 balls in one box. How many boxes does he need at this time?", "role": "user" }, { "content": "<think>\nOkay, let's see. The problem says there are 10 balls, and Jungkook wants to put 5 balls in one box. The question is asking how many boxes h...
[ { "content": "In a 60-item exam, Liza got 90% of the items correctly. Her best friend, Rose, got 2 more correct answers than her. How many incorrect answers did Rose have?", "role": "user" }, { "content": "<think>\nOkay, let's see. The problem says that Liza took a 60-item exam and got 90% correct. ...
[ { "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 Lilly buy?", "role": "user" }, { "content": "<think>\nOkay, let's see. Maria's birthday is in 22 days. Lilly wants to bu...
[ { "content": "Scott has 7 pairs of shoes. Anthony has 3 times as many pairs of shoes as Scott, and Jim has 2 less pairs than Anthony. How many more pairs of shoes does Anthony have compared to Jim?", "role": "user" }, { "content": "<think>\nOkay, let's see. Scott has 7 pairs of shoes. Anthony has ...
[ { "content": "Katie had 81 DS games and her friends had some games. Katie has 22 more games than her friends. How many DS games do her friends have?", "role": "user" }, { "content": "<think>\nOkay, let's see. The problem says Katie has 81 DS games, and her friends have some games. Katie has 22 more ...
[ { "content": "John buys 3 reels of 100m fishing line. He cuts it into 10m sections. How many sections does he get?", "role": "user" }, { "content": "<think>\nOkay, let me try to figure out this problem. So, John buys 3 reels of fishing line, and each reel is 100 meters long. First, I need to find ...
[ { "content": "A small village has a total population of $520$. The data is shown on a graph which divides this population into four equal groups represented by rectangles. However, the labels specifying males and females are unreaded. If it is known that one rectangle represents all males in the village, how ma...
[ { "content": "On a number line where the markings are equally spaced, what is the number $x$ if nine steps are taken to get from 0 to 36?\n$\\text{(A)}\\ 20 \\qquad \\text{(B)}\\ 24 \\qquad \\text{(C)}\\ 28 \\qquad \\text{(D)}\\ 32 \\qquad \\text{(E)}\\ 36$", "role": "user" }, { "content": "<think>\...
[ { "content": "Given points A(1, -1) and B(1, 2), then $\\overrightarrow{AB} = $ ______.", "role": "user" }, { "content": "<think>\nOkay, so I need to find the vector AB given points A(1, -1) and B(1, 2). Let me think about how to approach this. \n\nFirst, I remember that a vector between two points ...
[ { "content": "Jesse has 21 bananas. If he shares them among 3 friends, each friend would get _____ bananas .", "role": "user" }, { "content": "<think>\nOkay, so Jesse has 21 bananas and he wants to share them among 3 friends. Let me think about how to figure out how many bananas each friend gets.\n\...
[ { "content": "When 632-AB1=41, what number should go in B?", "role": "user" }, { "content": "<think>\nOkay, let's see. The problem is 632 minus AB1 equals 41. I need to find the value of B. Hmm, AB1 is a three-digit number where A and B are digits. Wait, but how do I approach this? Let me break it d...
[ { "content": "Anais has 30 more toys than Kamari. Kamari has 65 toys in his box. How many toys are there altogether?", "role": "user" }, { "content": "<think>\nOkay, let's see. The problem says Anais has 30 more toys than Kamari. Kamari has 65 toys in his box. We need to find out how many toys there...
[ { "content": "In a health survey conducted by a certain school involving 1,200 male and female students, a stratified sampling method was used to draw a sample of 200 students. It is known that 85 females were sampled. The number of male students in the school is _______.", "role": "user" }, { "cont...
[ { "content": "Sally had 27 Pokemon cards. Dan has some new Pokemon cards. Sally bought 20 Pokemon cards. Now, Sally has 6 more Pokemon cards than Dan has. How many Pokemon cards does Dan have?", "role": "user" }, { "content": "<think>\nOkay, let's see. Sally had 27 Pokemon cards initially. Then she ...
[ { "content": "A boy has 12 oranges. He gives one-third of this number to his brother, a fraction of the remainder to his friend, and keeps the rest for himself. His friend gets 2 oranges. What is the ratio of the number of oranges given to his friend to the remainder after giving some to his brother?", "rol...
[ { "content": "If \\( f(x) = 5 - 4x \\) and \\( g(x) = x^2 + 2 \\), find \\( f(g(2)) \\).", "role": "user" }, { "content": "<think>\nOkay, let's see. I need to find f(g(2)) where f(x) is 5 minus 4x and g(x) is x squared plus 2. Hmm, so first, I think I need to figure out what g(2) is, right? Because ...
[ { "content": "At the presentation, students take turns giving presentations. Eunjung will be the 6th speaker from the back, and the seven students in front of Eunjung will make the presentation. How many students are giving presentations?", "role": "user" }, { "content": "<think>\nOkay, let's see. T...
[ { "content": "The cash realized on selling a 14% stock is Rs. 109.25. The cash amount before brokerage is Rs. 109. What is the percentage of the brokerage?", "role": "user" }, { "content": "<think>\nOkay, let me try to figure out this problem. So, the question is about finding the percentage of brok...
[ { "content": "You have collected 7 crickets. How many more crickets do you need to collect to have a certain number of crickets if you need to collect 4 more?", "role": "user" }, { "content": "<think>\nOkay, let's see. The user says they've collected 7 crickets and need to collect 4 more to reach a ...
[ { "content": "Ken created a care package to send to his brother, who was away at boarding school. Ken placed a box on a scale, and then he poured into the box enough jelly beans to bring the weight to 2 pounds. Then, he added enough brownies to cause the weight to triple. Next, he added another 2 pounds of j...
[ { "content": "It is 78 miles to Grandma's house. Mr. Welch drove 35 miles. He stopped to buy a pie for dessert. Then he drove 18 miles and stopped to put gas in the car. How many more miles until he reaches Grandma's house?", "role": "user" }, { "content": "<think>\nOkay, let me try to figure out ho...
[ { "content": "Dilan, Martha, Phillip, and Veronica went to the park together to have some fun. They all had a different number of marbles. At the end of the day, they redistributed the marbles so they each had 15 marbles. If Dilan had 14 marbles, Martha had 20 marbles, and Veronica had 7 marbles, how many marbl...
[ { "content": "What is the least number that should be added to some number, so the sum of the number is completely divisible by 23? The answer is 4. What is the original number?", "role": "user" }, { "content": "<think>\nOkay, let's try to figure out this problem. The question says that when you add...
[ { "content": "The imaginary part of the complex number $z=2-i$ is ( )\nA: 2\nB: 1\nC: -1\nD: -i", "role": "user" }, { "content": "<think>\nOkay, let's see. The question is asking for the imaginary part of the complex number z = 2 - i. The options are A: 2, B: 1, C: -1, D: -i. Hmm, I need to remember...
[ { "content": "A school is recruiting announcers for the sports day. One person will be randomly selected from three boys and one girl. The probability of selecting the girl is ( ).\n\nA: $\\frac{1}{2}$\n\nB: $\\frac{1}{3}$\n\nC: $\\frac{1}{4}$\n\nD: $\\frac{1}{5}$", "role": "user" }, { "content": "<...
[ { "content": "How much is 80% of 45 greater than 4/5 of 25?", "role": "user" }, { "content": "<think>\nOkay, let's see. The question is asking how much 80% of 45 is greater than 4/5 of 25. Hmm, so I need to calculate both values and then find the difference between them. Let me break it down step by...
[ { "content": "Danielle's apartment has 6 rooms. Heidi's apartment has 3 times as many rooms as Danielle's apartment. Grant's apartment has 1/9 as many rooms as Heidi's apartment. How many rooms does Grant's apartment have?", "role": "user" }, { "content": "<think>\nOkay, let's see. So the problem is...
[ { "content": "A group of 5 friends went into a restaurant. The chef already had 20 chicken wings cooked but cooked 25 more for the group. If they each got the same amount, how many would each person get?", "role": "user" }, { "content": "<think>\nOkay, let's see. There's a problem here about five fr...
[ { "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>\nOkay, let's see. The problem says that a slice of cake costs three-fourths of ...
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