messages listlengths 2 2 | source_repo stringclasses 17 values | subset stringclasses 4 values | split stringclasses 4 values |
|---|---|---|---|
[
{
"content": "Ava is planning a camping trip with her friends. She wants to make sure they have enough granola bars for snacks. There will be five people total: Ava, her two friends, and her parents. They will spend 3 days and 2 nights at the campsite, and they plan to have 2 granola bars per person for breakfa... | nvidia/OpenMathInstruct-2 | default | train |
[
{
"content": "Find the sum of all three-digit positive integers whose cubes end with the digits 125.",
"role": "user"
},
{
"content": "To find the sum of all three-digit positive integers whose cubes end with the digits 125, let's analyze how a number's cube can end in 125.\n\nA number $n$ whose cub... | nvidia/OpenMathInstruct-2 | default | train |
[
{
"content": "What is the largest number, all of whose digits are 1 or 4, and whose digits add up to 12?",
"role": "user"
},
{
"content": "We need to find the largest number consisting of only 1's and 4's that adds up to 12.\n\nThe largest possible number is obtained by using the largest possible nu... | nvidia/OpenMathInstruct-2 | default | train |
[
{
"content": "Two distinct primes, each greater than 20, are multiplied. What is the least possible product of these two primes?",
"role": "user"
},
{
"content": "To find the least possible product of two distinct primes greater than 20, we need to find the smallest two distinct primes greater than ... | nvidia/OpenMathInstruct-2 | default | train |
[
{
"content": "A farmer has 100 meters of fencing and wants to enclose a rectangular garden with an area of 500 square meters. If the farmer also wants to leave a 5-meter wide path around the entire garden, how many meters of fencing will be needed to enclose the garden and the path? Express your answer as a dec... | nvidia/OpenMathInstruct-2 | default | train |
[
{
"content": "If $\\log (x^2y^2)= 3$ and $\\log (xy^4) = 4$, what is $\\log (x^3y^2)$?",
"role": "user"
},
{
"content": "## Step 1: Use the properties of logarithms to simplify the given equations.\nUsing the property $\\log (a^b) = b \\cdot \\log (a)$, we can simplify the given equations:\n$\\log ... | nvidia/OpenMathInstruct-2 | default | train |
[
{
"content": "If $f(x)$ and $g(x)$ are two rational functions such that the vertical asymptotes of $f(x)$ are canceled by the zeros of $g(x)$, and the degree of the denominator of $f(x) + g(x)$ is 2, what is the degree of the numerator of $g(x)$?",
"role": "user"
},
{
"content": "The degree of the d... | nvidia/OpenMathInstruct-2 | default | train |
[
{
"content": "There are 15 different-flavored candies in a bag. How many ways can Maria choose 5 candies if the order in which she selects them does not matter?",
"role": "user"
},
{
"content": "Since the order in which Maria selects the candies does not matter, we use the combination formula:\n\\[ ... | nvidia/OpenMathInstruct-2 | default | train |
[
{
"content": "The owner of a parking lot wants to label each parking space with a unique four-digit code using the digits 0 through 9. The code for each space must start with a non-zero digit, and no digit can be repeated within a code. If the owner wants to label 300 spaces, how many packages of digits must be... | nvidia/OpenMathInstruct-2 | default | train |
[
{
"content": "Convert the point $(\\sqrt{2},-\\sqrt{2})$ in rectangular coordinates to polar coordinates. Enter your answer in the form $(r,\\theta),$ where $r > 0$ and $0 \\le \\theta < 2 \\pi.$",
"role": "user"
},
{
"content": "To convert from rectangular coordinates $(x, y)$ to polar coordinates... | nvidia/OpenMathInstruct-2 | default | train |
[
{
"content": "Martha has 18 crayons. She lost half of them, so she bought a new set of 20 crayons. How many crayons in total does Martha have after the purchase?",
"role": "user"
},
{
"content": "Let's solve this problem using Python code.\n<llm-code>\namount_of_lost_crayons = 18 / 2\namount_of_new_... | nvidia/OpenMathInstruct-1 | tir | train |
[
{
"content": "Noa scored 30 points to win a bowl, and Phillip scores twice that number. What is the total number of points Tom and Phillip scored to win the bowl?",
"role": "user"
},
{
"content": "Let's solve this problem using Python code.\n<llm-code>\nscore_first_player = 30\nscore_second_player =... | nvidia/OpenMathInstruct-1 | tir | train |
[
{
"content": "In a rectangular coordinate system, what is the number of units in the distance from the origin to the point $(-15, 8)$?",
"role": "user"
},
{
"content": "To find the distance between the origin $(0, 0)$ and the point $(-15, 8)$ in a rectangular coordinate system, we can use the distan... | nvidia/OpenMathInstruct-1 | tir | train |
[
{
"content": "The four-digit numeral $3AA1$ is divisible by 9. What digit does $A$ represent?",
"role": "user"
},
{
"content": "To solve this, we will find the possible values for $A$ that make $3AA1$ divisible by 9 using Python.\n<llm-code>\ndef is_divisible_by_9(numeral):\n return numeral % 9 =... | nvidia/OpenMathInstruct-1 | tir | train |
[
{
"content": "Of the 90 people on William's bus, 3/5 were Dutch. Of the 1/2 of the Dutch who were also American, 1/3 got window seats. What's the number of Dutch Americans who sat at the windows?",
"role": "user"
},
{
"content": "Let's solve this problem using Python code.\n<llm-code>\nnumber_of_pas... | nvidia/OpenMathInstruct-1 | tir | train |
[
{
"content": "Jaynie wants to make leis for the graduation party. It will take 2 and half dozen plumeria flowers to make 1 lei. If she wants to make 4 leis, how many plumeria flowers must she pick from the trees in her yard?",
"role": "user"
},
{
"content": "Let's solve this problem using Python c... | nvidia/OpenMathInstruct-1 | tir | train |
[
{
"content": "The price of an iPhone fell 10% in a particular month and another 20% in the second month. If the initial price was $1000, calculate the price after the second month.",
"role": "user"
},
{
"content": "Let's solve this problem using Python code.\n<llm-code>\nstarting_price = 1000\npric... | nvidia/OpenMathInstruct-1 | tir | train |
[
{
"content": "Lennon is a sales rep and is paid $0.36 in mileage reimbursement when he travels to meet with clients. On Monday he drove 18 miles. Tuesday he drove 26 miles. Wednesday and Thursday he drove 20 miles each day and on Friday he drove 16 miles. How much money will he be reimbursed?",
"role": ... | nvidia/OpenMathInstruct-1 | tir | train |
[
{
"content": "Susan wants to throw a party for her mom. She is planning on having 30 guests. For dinner she is making a recipe that makes 2 servings each. Each batch of the recipe calls for 4 potatoes and 1 teaspoon of salt. A potato costs $.10 and a container of salt costs $2 at the supermarket. If each contai... | nvidia/OpenMathInstruct-1 | tir | train |
[
{
"content": "A bottle of wine costs $20.00 today. When new tariffs are imposed in 2 months, the price of wine will increase by 25%. How much more expensive will 5 bottles of wine be in 2 months?",
"role": "user"
},
{
"content": "Let's solve this problem using Python code.\n<llm-code>\nprice_per_b... | nvidia/OpenMathInstruct-1 | tir | train |
[
{
"content": "Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?",
"role": "user"
},
{
"content": "Natalia sold 48/2 = <<48/2=24>>24 clips in May.\nNatalia sold 48+24 = <<48+24=72>>72 clips altog... | openai/gsm8k | main | train |
[
{
"content": "Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?",
"role": "user"
},
{
"content": "Weng earns 12/60 = $<<12/60=0.2>>0.2 per minute.\nWorking 50 minutes, she earned 0.2 x 50 = $<<0.2*50=10>>10.\n#### 10",
"role": "assi... | openai/gsm8k | main | train |
[
{
"content": "Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?",
"role": "user"
},
{
"co... | openai/gsm8k | main | train |
[
{
"content": "Julie is reading a 120-page book. Yesterday, she was able to read 12 pages and today, she read twice as many pages as yesterday. If she wants to read half of the remaining pages tomorrow, how many pages should she read?",
"role": "user"
},
{
"content": "Maila read 12 x 2 = <<12*2=24>>2... | openai/gsm8k | main | train |
[
{
"content": "James writes a 3-page letter to 2 different friends twice a week. How many pages does he write a year?",
"role": "user"
},
{
"content": "He writes each friend 3*2=<<3*2=6>>6 pages a week\nSo he writes 6*2=<<6*2=12>>12 pages every week\nThat means he writes 12*52=<<12*52=624>>624 pages... | openai/gsm8k | main | train |
[
{
"content": "Mark has a garden with flowers. He planted plants of three different colors in it. Ten of them are yellow, and there are 80% more of those in purple. There are only 25% as many green flowers as there are yellow and purple flowers. How many flowers does Mark have in his garden?",
"role": "user"... | openai/gsm8k | main | train |
[
{
"content": "Albert is wondering how much pizza he can eat in one day. He buys 2 large pizzas and 2 small pizzas. A large pizza has 16 slices and a small pizza has 8 slices. If he eats it all, how many pieces does he eat that day?",
"role": "user"
},
{
"content": "He eats 32 from the largest pizzas... | openai/gsm8k | main | train |
[
{
"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... | openai/gsm8k | main | train |
[
{
"content": "Alexis is applying for a new job and bought a new set of business clothes to wear to the interview. She went to a department store with a budget of $200 and spent $30 on a button-up shirt, $46 on suit pants, $38 on a suit coat, $11 on socks, and $18 on a belt. She also purchased a pair of shoes, b... | openai/gsm8k | main | train |
[
{
"content": "Tina makes $18.00 an hour. If she works more than 8 hours per shift, she is eligible for overtime, which is paid by your hourly wage + 1/2 your hourly wage. If she works 10 hours every day for 5 days, how much money does she make?",
"role": "user"
},
{
"content": "She works 8 hours a... | openai/gsm8k | main | train |
[
{
"content": "the banker ' s gain of a certain sum due 3 years hence at 10 % per annum is rs . 36 . what is the present worth ?\n\nOptions:\na ) rs . 400 , b ) rs . 300 , c ) rs . 500 , d ) rs . 350 , e ) none of these",
"role": "user"
},
{
"content": "\"explanation : t = 3 years r = 10 % td = ( bg ... | allenai/math_qa | default | train |
[
{
"content": "average age of students of an adult school is 40 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students .\n\nOptions:\na ) 1200 , b ) 120 , c ) 360 ... | allenai/math_qa | default | train |
[
{
"content": "sophia finished 2 / 3 of a book . she calculated that she finished 90 more pages than she has yet to read . how long is her book ?\n\nOptions:\na ) 229 , b ) 270 , c ) 877 , d ) 266 , e ) 281",
"role": "user"
},
{
"content": "let xx be the total number of pages in the book , then she f... | allenai/math_qa | default | train |
[
{
"content": "120 is what percent of 50 ?\n\nOptions:\na ) 5 % , b ) 240 % , c ) 50 % , d ) 2 % , e ) 500 %",
"role": "user"
},
{
"content": "\"50 * x = 120 - - > x = 2.4 - - > 2.4 expressed as percent is 240 % . answer : b .\"",
"role": "assistant"
}
] | allenai/math_qa | default | train |
[
{
"content": "there are 10 girls and 20 boys in a classroom . what is the ratio of girls to boys ?\n\nOptions:\na ) 1 / 2 , b ) 1 / 3 , c ) 1 / 5 , d ) 10 / 30 , e ) 2 / 5",
"role": "user"
},
{
"content": "if girls is 10 and boys is 20 , then 10 / 20 . so ratio of girls to boys is = 10 / 20 = 1 / 2 ... | allenai/math_qa | default | train |
[
{
"content": "an empty fuel tank with a capacity of 218 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 30 gallons of ethanol , how many gallons of fuel a were added ?\n... | allenai/math_qa | default | train |
[
{
"content": "an article is bought for rs . 823 and sold for rs . 1000 , find the gain percent ?\n\nOptions:\na ) 21.4 % , b ) 21.5 % , c ) 21.6 % , d ) 21.7 % , e ) 21.8 %",
"role": "user"
},
{
"content": "\"823 - - - - 177 100 - - - - ? = > 21.5 % answer : b\"",
"role": "assistant"
}
] | allenai/math_qa | default | train |
[
{
"content": "6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days m do they need to finish the same job ?\n\nOptions:\na ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7",
"role": "user"
},
{
"content": "\"let rate of one worker be r = > ( 6 * r ) * 8 = 1 ( rate * time... | allenai/math_qa | default | train |
[
{
"content": "j is 25 % less than p and 20 % less than t . t is q % less than p . what is the value of q ?\n\nOptions:\na ) 93.5 , b ) 90 , c ) 6.75 , d ) 6.25 , e ) 2",
"role": "user"
},
{
"content": "\"usually we can solve every question of this type by choosing appropriate value of the variable a... | allenai/math_qa | default | train |
[
{
"content": "a student was asked to find 4 / 5 of a number . but the student divided the number by 4 / 5 , thus the student got 36 more than the correct answer . find the number .\n\nOptions:\na ) 60 , b ) 70 , c ) 80 , d ) 90 , e ) 100",
"role": "user"
},
{
"content": "\"let the number be x . ( 5 ... | allenai/math_qa | default | train |
[
{
"content": "Let \\[f(x) = \\left\\{\n\\begin{array}{cl} ax+3, &\\text{ if }x>2, \\\\\nx-5 &\\text{ if } -2 \\le x \\le 2, \\\\\n2x-b &\\text{ if } x <-2.\n\\end{array}\n\\right.\\]Find $a+b$ if the piecewise function is continuous (which means that its graph can be drawn without lifting your pencil from the p... | qwedsacf/competition_math | default | train |
[
{
"content": "A rectangular band formation is a formation with $m$ band members in each of $r$ rows, where $m$ and $r$ are integers. A particular band has less than 100 band members. The director arranges them in a rectangular formation and finds that he has two members left over. If he increases the number of ... | qwedsacf/competition_math | default | train |
[
{
"content": "What is the degree of the polynomial $(4 +5x^3 +100 +2\\pi x^4 + \\sqrt{10}x^4 +9)$?",
"role": "user"
},
{
"content": "This polynomial is not written in standard form. However, we don't need to write it in standard form, nor do we need to pay attention to the coefficients. We just lo... | qwedsacf/competition_math | default | train |
[
{
"content": "Evaluate $\\left\\lceil3\\left(6-\\frac12\\right)\\right\\rceil$.",
"role": "user"
},
{
"content": "Firstly, $3\\left(6-\\frac12\\right)=18-1-\\frac12=17-\\frac12$. Because $0\\le\\frac12<1$, we have $\\left\\lceil17-\\frac12\\right\\rceil=\\boxed{17}$.",
"role": "assistant"
}
] | qwedsacf/competition_math | default | train |
[
{
"content": "Sam is hired for a 20-day period. On days that he works, he earns $\\$$60. For each day that he does not work, $\\$$30 is subtracted from his earnings. At the end of the 20-day period, he received $\\$$660. How many days did he not work?",
"role": "user"
},
{
"content": "Call $x$ the n... | qwedsacf/competition_math | default | train |
[
{
"content": "Find the center of the circle with equation $x^2 - 6x + y^2 + 2y = 9$.",
"role": "user"
},
{
"content": "Completing the square, we get $(x - 3)^2 + (y + 1)^2 = 19$. Therefore, the center of the circle is $\\boxed{(3, -1)}$.",
"role": "assistant"
}
] | qwedsacf/competition_math | default | train |
[
{
"content": "What are all values of $p$ such that for every $q>0$, we have $$\\frac{3(pq^2+p^2q+3q^2+3pq)}{p+q}>2p^2q?$$ Express your answer in interval notation in decimal form.",
"role": "user"
},
{
"content": "First we'll simplify that complicated expression. We attempt to factor the numerator... | qwedsacf/competition_math | default | train |
[
{
"content": "If $x = 2$ and $y = 5$, then what is the value of $\\frac{x^4+2y^2}{6}$ ?",
"role": "user"
},
{
"content": "We have \\[\\frac{x^4 + 2y^2}{6} = \\frac{2^4 + 2(5^2)}{6} = \\frac{16+2(25)}{6} = \\frac{16+50}{6} = \\frac{66}{6} = \\boxed{11}.\\]",
"role": "assistant"
}
] | qwedsacf/competition_math | default | train |
[
{
"content": "The sequence of integers in the row of squares and in each of the two columns of squares form three distinct arithmetic sequences. What is the value of $N$?\n\n[asy]\nunitsize(0.35inch);\ndraw((0,0)--(7,0)--(7,1)--(0,1)--cycle);\ndraw((1,0)--(1,1));\ndraw((2,0)--(2,1));\ndraw((3,0)--(3,1));\ndraw(... | qwedsacf/competition_math | default | train |
[
{
"content": "Tim wants to invest some money in a bank which compounds quarterly with an annual interest rate of $7\\%$. To the nearest dollar, how much money should he invest if he wants a total of $\\$60,\\!000$ at the end of $5$ years?",
"role": "user"
},
{
"content": "Recall the formula $A=P\\le... | qwedsacf/competition_math | default | train |
[
{
"content": "",
"role": "user"
},
{
"content": "",
"role": "assistant"
}
] | github:openai/prm800k | default | train |
[
{
"content": "",
"role": "user"
},
{
"content": "",
"role": "assistant"
}
] | github:openai/prm800k | default | train |
[
{
"content": "",
"role": "user"
},
{
"content": "",
"role": "assistant"
}
] | github:openai/prm800k | default | train |
[
{
"content": "マーサは18本のクレヨンを持っている。その半分をなくしてしまったので、新しいクレヨンを20本買いました。購入後、マーサは全部で何本のクレヨンを持っていますか。",
"role": "user"
},
{
"content": "Pythonコードを使用してこの問題を解決しましょう。<llm-code>\namount_of_lost_crayons = 18 / 2\namount_of_new_crayons = 20\ntotal_amount = amount_of_lost_crayons + amount_of_new_crayons\ntotal_amo... | kunishou/OpenMathInstruct-1-1.8m-ja | tir | train |
[
{
"content": "ボウルに勝つためにノアは30点、フィリップはその2倍を得点した。ボウルに勝つためにトムとフィリップが得点した合計点数は？",
"role": "user"
},
{
"content": "Pythonコードを使用してこの問題を解決しましょう。<llm-code>\nscore_first_player = 30\nscore_second_player = 2 * score_first_player\nscore_first_player + score_second_player\n</llm-code><llm-code-output>\n90\n</llm... | kunishou/OpenMathInstruct-1-1.8m-ja | tir | train |
[
{
"content": "直交座標系において、原点から点 $(-15, 8)$ までの距離は何単位か。",
"role": "user"
},
{
"content": "Origin $（0、0）$の間の距離を見つけるには、長方形の座標系でポイント$（-15、8）$を見つけるには、距離式を使用できます。\n$$ d = \\\\ sqrt {（x_2 -x_1）^2 +（y_2 -y_1）^2} $$\nここで、$（x_1、y_1）$は最初のポイントの座標であり、$（x_2、y_2）$は2番目のポイントの座標です。\n原点と指定されたポイントの値を置き換えると、次のようになります。<llm... | kunishou/OpenMathInstruct-1-1.8m-ja | tir | train |
[
{
"content": "4桁の数字$3AA1$は9で割り切れますか？",
"role": "user"
},
{
"content": "これを解決するために、Pythonを使用して9で$ 3AA1 $を分割できる$ A $の可能な値が見つかります。<llm-code>\ndef is_divisible_by_9(numeral):\n return numeral % 9 == 0\n\nfor a in range(10):\n numeral = str(3 * 100 + a * 10 + a * 10 + 1)\n if is_divisible_by_9(i... | kunishou/OpenMathInstruct-1-1.8m-ja | tir | train |
[
{
"content": "ウィリアムのバスに乗った90人のうち、3/5はオランダ人だった。オランダ人の1/2がアメリカ人で、1/3が窓側の席に座った。窓側に座ったオランダ系アメリカ人の数は？",
"role": "user"
},
{
"content": "Pythonコードを使用してこの問題を解決しましょう。<llm-code>\nnumber_of_passengers = 90\nnumber_of_dutch_passengers = 3 / 5 * number_of_passengers\nnumber_of_dutch_american_passengers = 1 / 2 ... | kunishou/OpenMathInstruct-1-1.8m-ja | tir | train |
[
{
"content": "ジェイニーは卒業パーティーのためにレイを作りたい。 1個のレイを作るのに、2.5ダースのプルメリアの花が必要だ。 レイを4つ作りたい場合、庭の木から何本のプルメリアの花を摘まなければならないか？",
"role": "user"
},
{
"content": "Pythonコードを使用してこの問題を解決しましょう。<llm-code>\n# the multiplication step\nnumber_of_flowers_for_one_lei = 2.5 * 12\n\n# repeat it for 4 times\nnumber_of_flowers... | kunishou/OpenMathInstruct-1-1.8m-ja | tir | train |
[
{
"content": "iPhoneの価格がある月に10％下落し、2ヶ月目にはさらに20％下落した。 最初の価格が1000ドルだった場合、2ヶ月目以降の価格を計算しなさい。",
"role": "user"
},
{
"content": "Pythonコードを使用してこの問題を解決しましょう。<llm-code>\nstarting_price = 1000\nprice_in_first_month = starting_price - starting_price * 10 / 100\nprice_in_second_month = price_in_first_month - ... | kunishou/OpenMathInstruct-1-1.8m-ja | tir | train |
[
{
"content": "レノンは営業担当者であり、顧客と会うために出張した場合、0.36ドルのマイレージが支給される。 月曜日に彼は18マイル運転した。 火曜日は26マイル。 水曜日と木曜日は毎日20マイル、金曜日は16マイル運転した。 彼に払い戻される金額はいくらか。",
"role": "user"
},
{
"content": "Pythonコードを使用してこの問題を解決しましょう。<llm-code>\nmonday_distance = 18\ntuesday_distance = 26\nwednesday_distance = 20\nthursday_distan... | kunishou/OpenMathInstruct-1-1.8m-ja | tir | train |
[
{
"content": "スーザンは母親のためにパーティーを開きたいと考えている。招待客は30人を予定している。夕食に、2人前ずつ作れるレシピを作ろうとしている。このレシピでは、ジャガイモ4個と塩小さじ1杯を使います。ジャガイモ1個はスーパーマーケットで10ドル、塩の容器は2ドルです。塩の容器に小さじ5杯の塩が入っているとすると、スーザンが食費に使う金額はいくらでしょう？",
"role": "user"
},
{
"content": "Pythonコードを使用してこの問題を解決しましょう。<llm-code>\nservings_per_batch = 2\nservings_for_a... | kunishou/OpenMathInstruct-1-1.8m-ja | tir | train |
[
{
"content": "今日、ワイン1本の価格は20ドルである。 2ヶ月後に新たな関税が課されると、ワインの価格は25％上昇する。 2ヵ月後、ワイン5本の価格はいくらになるでしょうか？",
"role": "user"
},
{
"content": "Pythonコードを使用してこの問題を解決しましょう。<llm-code>\nprice_per_bottle = 20\nnumber_of_bottles = 5\nnew_tariff_percentage = 25\nnew_price_per_bottle = price_per_bottle + price_per_bott... | kunishou/OpenMathInstruct-1-1.8m-ja | tir | train |
[
{
"content": "マリーさんは学校の物資が必要です。彼女には6つのクラスがあり、それぞれのクラスに1つのフォルダーが必要です。また、彼女はそれぞれのクラスに3本の鉛筆が必要です。彼女は、6本の鉛筆ごとに1つの消しゴムが必要だと考えています。また、彼女にはアートクラスのためのペイントのセットが必要です。フォルダーは6ドル、鉛筆は2ドル、消しゴムは1ドルです。彼女が80ドルを費やした場合、ペイントのセットは幾らでしたか？",
"role": "user"
},
{
"content": "5",
"role": "assistant"
}
] | elyza/JaMARD | raw | train |
[
{
"content": "ティムは96フィートの建物の屋根からボールを落とします。ボールは落ちた高さの半分まで反彈します。五つ目の反彈でどれだけ高いところに反彈しますか？",
"role": "user"
},
{
"content": "3",
"role": "assistant"
}
] | elyza/JaMARD | raw | train |
[
{
"content": "30人の学生がハリケーン被害者を助けるチャリティーランに参加しました。10人の学生はそれぞれ20ドルを集めました。残りの学生たちはそれぞれ30ドルを集めました。学生たちは合計でいくらを集めましたか？",
"role": "user"
},
{
"content": "800",
"role": "assistant"
}
] | elyza/JaMARD | raw | train |
[
{
"content": "アップルは3マイル毎時間で走ることができます。マックは4マイル毎時間で走ることができます。24マイルのレースを走るのに、マックがアップルよりどれくらい早いか（単位は分で）計算してください。",
"role": "user"
},
{
"content": "120",
"role": "assistant"
}
] | elyza/JaMARD | raw | train |
[
{
"content": "昨年、学校の図書館は50冊の新しい本を購入しました。今年はその3倍の本を購入しました。図書館が昨年前に100冊の本を所有していた場合、現在図書館には何冊の本がありますか？",
"role": "user"
},
{
"content": "300",
"role": "assistant"
}
] | elyza/JaMARD | raw | train |
[
{
"content": "クラスの12人の生徒は108個のオレンジを自分たち均等に分け合うつもりでしたが、36個のオレンジが壊れて捨てられることを発見しました。もし壊れたオレンジが存在しなければ、それぞれの生徒が得られるオレンジはどれくらい少なくなるでしょうか？",
"role": "user"
},
{
"content": "3",
"role": "assistant"
}
] | elyza/JaMARD | raw | train |
[
{
"content": "サンタナさんは7人の兄弟がいます。3人は3月に誕生日が、1人は10月に、1人は11月に、そしてもう2人は12月に誕生日があります。サンタナさんは兄弟にそれぞれ誕生日プレゼントとクリスマスプレゼントを買うことがあります。二半期で必要なプレゼントの数が最初の半期よりどれだけ多いですか？",
"role": "user"
},
{
"content": "8",
"role": "assistant"
}
] | elyza/JaMARD | raw | train |
[
{
"content": "トリッシュさんは毎日散歩をします。ある日、彼女は1マイルの散歩をします。その後の日々は、前日走った距離の2倍を歩きます。どの日から彼女が最初の日よりも10倍以上遠くを歩くようになりますか？",
"role": "user"
},
{
"content": "5",
"role": "assistant"
}
] | elyza/JaMARD | raw | train |
[
{
"content": "プリン斯顿さんは性別を明かすパーティーを開き、彼の同僚を祝うために彼を祝いました。ゲストの総数が60人で、その2/3が男性ゲストだった場合、パーティーに出席した女性ゲストは幾人いましたか？",
"role": "user"
},
{
"content": "20",
"role": "assistant"
}
] | elyza/JaMARD | raw | train |
[
{
"content": "ヴィクターさんは「クラックス デラックス」で働いています。このレストランはチキンが特長です。チキンパスタの注文には2つのチキンが必要、バーベキューチキンの注文には3つのチキンが必要、ファミリーサイズのフライドチキンディナーには8つのチキンが必要です。今夜、ヴィクターさんは2つのファミリーサイズのフライドチキンディナー注文、6つのチキンパスタ注文、そして3つのバーベキューチキン注文があります。すべての注文に必要なチキンの数はいくつですか？",
"role": "user"
},
{
"content": "37",
"role": "assistant"
... | elyza/JaMARD | raw | train |
[
{
"content": "等差数列の項を考えます：$-\\frac{1}{3}, y+2, 4y, \\ldots$。$y$ を解きなさい。\n",
"role": "user"
},
{
"content": "['<Thought>等差数列では、隣り合う項の差は一定である必要があります。与えられた数列に基づいて以下の式を立てることができます： $(y + 2) - (-1/3)= 4y-(y+2)$ 。これを解けばいいのかな？</Thought><br/>\\n\\n\\n<Thought>ちょっと待った！もしかして計算ミスしてるんじゃないか？！もう一度確認してみよう。</Though... | Inoichan/NuminaMath-Enhanced-CoT-JA-50K | default | train |
[
{
"content": "$g(x) = 5x - 3$ とすると、$g^{-1}(g^{-1}(14))$ はいくらですか？\n",
"role": "user"
},
{
"content": "['<Thought> まず、逆関数$g^{-1}{(x)}$を求めましょう。与えられた式は $g{(x)} = 5x - 3$ ですから、これを変形して解いてみますね。\\n\\n \\\\[ y= 5x - 3\\\\]\\n \\\\[ y+3 = 5x \\\\]\\n \\\\[ x=\\\\dfrac {y+3 }{5}\\\\]\\n\\n\\n よって、$g^{-1}}{(x)... | Inoichan/NuminaMath-Enhanced-CoT-JA-50K | default | train |
[
{
"content": "ある農家は、縦が $3m+8$、横が $m-3$ の長方形の畑を持っています。$m$ は正の整数です。畑の面積が 76 平方メートルである場合、$m$ の値を求めてください。\n",
"role": "user"
},
{
"content": "['<Thought> まず、長方形の面積を求める公式を使ってみよう。 長さは $(3m+8)$ 、幅は$(m-3)$ なので、面積は $(3m+8)(m-3)=76$ となるはずだ。</Thought><br/>\\n\\n\\n<Thought>(展開してみるか。) \\\\[\\n(3m+8)(m-3) = 3m^... | Inoichan/NuminaMath-Enhanced-CoT-JA-50K | default | train |
[
{
"content": "$a>0$ かつ $a \\neq 1$ のとき、関数 $f(x) = \\log_a(1+x)$ と $g(x) = \\log_a(1-x)$ が与えられています。\n1. 関数 $f(x) - g(x)$ の定義域を求めよ。\n2. 関数 $f(x) - g(x)$ の偶奇性を判定せよ。\n3. $f(x) - g(x) > 0$ となる $x$ の範囲を求めよ。 \n\n",
"role": "user"
},
{
"content": "[\"<Thought> まず、関数 *f*( *x*) − *g *( *x *) の定義域を求めましょう。 与えら... | Inoichan/NuminaMath-Enhanced-CoT-JA-50K | default | train |
[
{
"content": "方程式 $\\displaystyle\\sqrt[3]{3 - \\frac{x}{3}} = -2$ のすべての解を求めよ。\n",
"role": "user"
},
{
"content": "['<Thought> まず、立方根を孤立させましょう。\\n\\n$$\\\\sqrt[3]{3-\\\\dfrac{x}{3}}=-2.$$両辺に３乗すると、立方根が消えますね： \\n$$3 -\\\\dfrac {x }{3}=(-2)^{3}$$\\n$$3 -\\\\dfrac {x }{3}=-8$$ あれ？ちょっと待ってください... もしかして計算... | Inoichan/NuminaMath-Enhanced-CoT-JA-50K | default | train |
[
{
"content": "三角形$\\triangle ABC$において、角$A$, $B$, $C$の対辺の長さをそれぞれ$a$, $b$, $c$とする。$\\cos \\frac{C}{2} = \\frac{\\sqrt{5}}{3}$かつ$a \\cos B + b \\cos A = 2$が成り立つとき、三角形$\\triangle ABC$の最大面積を求めよ。 \n\n",
"role": "user"
},
{
"content": "['<Thought> まず、$\\\\cos \\\\dfrac{C}{2}=\\\\dfrac{\\\\sqrt{5}}{3}$ から $... | Inoichan/NuminaMath-Enhanced-CoT-JA-50K | default | train |
[
{
"content": "ジュリアンは漫画を描いています。彼の物語は平均して1ページに280コマあります。彼の25ページの本では、10ページは305コマ、7ページは250コマで、残りのページは平均的なコマ数です。彼の漫画本には合計で何コマありますか？ \n\n",
"role": "user"
},
{
"content": "['<Thought>まず、平均フレーム数ではないページの合計フレーム数を計算してみましょう。\\n\\n10 ページにそれぞれ 305 フレームがある場合：\\n10 ページ × 305 フレーム / 페이지= 3050 フレーム\\n\\n7 ページにそれぞれ 2... | Inoichan/NuminaMath-Enhanced-CoT-JA-50K | default | train |
[
{
"content": "円$C$の$60^{\\circ}$の弧の長さと円$D$の$40^{\\circ}$の弧の長さが同じであるとき、円$C$の面積と円$D$の面積の比を求めよ。答えを分数で表せ。\n",
"role": "user"
},
{
"content": "['<Thought> まず、円 C の弧の長さと 円 Dの弧の長さが等しいという条件から何か式を立てられるかな？</Thought><br/>\\n\\n\\n<Thought> ああそうだ！角度と円の周長の関係を使えばいいんだ。 円 周率 π を使って表してみよう。</Thought><br/>\\n\\n\\n\\... | Inoichan/NuminaMath-Enhanced-CoT-JA-50K | default | train |
[
{
"content": "円$C$: $(x-2)^{2}+(y-2)^{2}=1$上の任意の点$P$と、直線$l$: $x+y=1$上の任意の点$Q$について、$| \\overrightarrow{OP}+ \\overrightarrow{OQ}|$の最小値を求めよ。 \n\n",
"role": "user"
},
{
"content": "['<Thought> まず、円 C の中心と線 l との距離を求めてみましょう。 線 l を y = - x + 1 という形で書き換えると、点から線の公式を使って計算できますね。</Thought>\\n\\n\\n<Thought> 円の... | Inoichan/NuminaMath-Enhanced-CoT-JA-50K | default | train |
[
{
"content": "$225^\\circ$ の余弦を求めよ。\n",
"role": "user"
},
{
"content": "['<Thought> まず、単位円上の点 Q を考えてみよう。角度が 225 度なので、正の x 軸から反時計回りに測ると 225 度の位置にあるはずだ。</Thought><br/>\\n\\n\\n<Thought> ああでもって… 225度は 180度と 45度の和だね。ということは、点 Q は第3象限に位置するんだね。 第３象限は x 座標も y 座표も負になるよね？</Thought><br/>\\n\\n\\n\\n<Thought> ... | Inoichan/NuminaMath-Enhanced-CoT-JA-50K | default | train |
[
{
"content": "",
"role": "user"
},
{
"content": "",
"role": "assistant"
}
] | github:SCNU203/Math23k | default | train |
[
{
"content": "The front tires of a car wear out after 25,000 km, and the rear tires wear out after 15,000 km. When should the tires be swapped so that they wear out at the same time?",
"role": "user"
},
{
"content": "9375",
"role": "assistant"
}
] | POLARIS-Project/Polaris-Dataset-53K | default | train |
[
{
"content": "The edges of tetrahedron $ABCD$ are given as $AB=c$, $BC=a$, $CA=b$, $DA=a_{1}$, $DB=b_{1}$, and $DC=c_{1}$. Let $h$ be the length of the median line from vertex $D$. Prove that\n\n$$\nh^{2}=\\frac{1}{3}\\left(a_{1}^{2}+b_{1}^{2}+c_{1}^{2}\\right)-\\frac{1}{9}\\left(a^{2}+b^{2}+c^{2}\\right)\n$$",... | POLARIS-Project/Polaris-Dataset-53K | default | train |
[
{
"content": "The largest three-digit number divided by an integer, with the quotient rounded to one decimal place being 2.5, will have the smallest divisor as:",
"role": "user"
},
{
"content": "392",
"role": "assistant"
}
] | POLARIS-Project/Polaris-Dataset-53K | default | train |
[
{
"content": "Mr. Lee V. Soon starts his morning commute at 7:00 AM to arrive at work by 8:00 AM. If he drives at an average speed of 30 miles per hour, he is late by 5 minutes, and if he drives at an average speed of 70 miles per hour, he is early by 4 minutes. Find the speed he needs to maintain to arrive exa... | POLARIS-Project/Polaris-Dataset-53K | default | train |
[
{
"content": "Suppose convex hexagon $ \\text{HEXAGN}$ has $ 120^\\circ$ -rotational symmetry about a point $ P$ —that is, if you rotate it $ 120^\\circ$ about $ P$ , it doesn't change. If $ PX\\equal{}1$ , find the area of triangle $ \\triangle{GHX}$ .",
"role": "user"
},
{
"content": "\\f... | POLARIS-Project/Polaris-Dataset-53K | default | train |
[
{
"content": "A firecracker was thrown vertically upward with a speed of $20 \\, \\mathrm{m/s}$. One second after the flight began, it exploded into two unequal parts, with their mass ratio being $1:2$. Immediately after the explosion, the smaller fragment flew horizontally with a speed of $16 \\, \\mathrm{m/s}... | POLARIS-Project/Polaris-Dataset-53K | default | train |
[
{
"content": "In rectangle $PQRS$, $PQ=8$ and $QR=6$. Points $A$ and $B$ lie on $\\overline{PQ}$, points $C$ and $D$ lie on $\\overline{QR}$, points $E$ and $F$ lie on $\\overline{RS}$, and points $G$ and $H$ lie on $\\overline{SP}$ so that $AP=BQ<4$ and the convex octagon $ABCDEFGH$ is equilateral. The length ... | POLARIS-Project/Polaris-Dataset-53K | default | train |
[
{
"content": "The integer 119 is a multiple of which number?",
"role": "user"
},
{
"content": "7",
"role": "assistant"
}
] | POLARIS-Project/Polaris-Dataset-53K | default | train |
[
{
"content": "Given the function \\( f(x)=\\sqrt{3} \\sin 2x + 2 \\cos^2 x + a \\), if the minimum value of \\( f(x) \\) on the interval \\(\\left[ 0, \\frac{\\pi}{2} \\right] \\) is \\(-1\\), find the value of \\( a \\).",
"role": "user"
},
{
"content": "-1",
"role": "assistant"
}
] | POLARIS-Project/Polaris-Dataset-53K | default | train |
[
{
"content": "Find all functions $f : \\mathbb{N} \\to \\mathbb{N}$ such that for any positive integers $m, n$ the number $$ (f(m))^2+ 2mf(n) + f(n^2) $$ is the square of an integer.\n\n*Proposed by Fedir Yudin*",
"role": "user"
},
{
"content": "f(n)=n",
"role": "assistant"
}
] | POLARIS-Project/Polaris-Dataset-53K | default | train |
[
{
"content": "[{'content': 'Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. ... | allenai/RLVR-GSM | default | train |
[
{
"content": "[{'content': 'Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. ... | allenai/RLVR-GSM | default | train |
[
{
"content": "[{'content': 'Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. ... | allenai/RLVR-GSM | default | train |
[
{
"content": "[{'content': 'Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. ... | allenai/RLVR-GSM | default | train |
[
{
"content": "[{'content': 'Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. ... | allenai/RLVR-GSM | default | train |
[
{
"content": "[{'content': 'Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. ... | allenai/RLVR-GSM | default | train |
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