messages listlengths 4 12 |
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[
{
"content": "Grace is looking to plant some lettuce in her raised bed garden. Her raised bed is comprised of x large beds on top with 2 medium beds on the bottom. The top bed can hold 4 rows of lettuce with 25 seeds being sown per row. The medium bed can house 3 rows with 20 seeds being sown per row. How many ... |
[
{
"content": "Find the value of \\(\\frac{a}{b}\\) for the nonzero solution \\((x, y)\\) of the equations given by\n\n\\begin{align*}\n3(2x) - 2(2y) &= a,\\\\\n3(2y) - \\frac{9}{2}(2x) &= b.\n\\end{align*}\nAssume \\(b\\) is not equal to zero.",
"role": "user"
},
{
"content": "To solve this, we can ... |
[
{
"content": "If $a = 22,\\!222$ and $b = 66,\\!666$, compute $\\displaystyle \\frac{b^8}{a^8}$.",
"role": "user"
},
{
"content": "```python\nfrom sympy import S\n\na = S(22222)\nb = S(66666)\n\nans = b**8 / a**8\nans\n```",
"role": "assistant"
},
{
"content": "```output\n6561\n```",
... |
[
{
"content": "Edmund is buying a new computer and needs to save up $75 before he has enough. He convinces his parents to pay him for extra chores. He normally has to do 12 chores a week. His parents agree to pay him $2 for every extra chore he does during the week. If he does 4 chores a day for x weeks, He earn... |
[
{
"content": "A parabola is plotted on a graph, and its equation is given by $x = 2y^2 - 6y + 3$. It intersects the x-axis at $(a,0)$ and the y-axis at two points, $(0,b)$ and $(0,c)$. What is the sum $a + b + c$ of the intercepts?",
"role": "user"
},
{
"content": "The intercepts can be found by set... |
[
{
"content": "The sum of five consecutive even integers is 100. What is the largest integer in this sequence?",
"role": "user"
},
{
"content": "Let $x$ be the first integer in the sequence.\nThen, the other integers in the sequence are $x + 2, x + 4, x + 6, x + 8$.\nWe know the sum of these numbers ... |
[
{
"content": "Mr. Jesiah is a dairy cow farmer with cows producing 200 gallons of milk every day. The expenses for maintenance of the dairy farm and purchase of feeds is $x per month. Calculate his total income in June if he sells 1 gallon of milk at $3.55. The answer is 18300. What is the value of unknown vari... |
[
{
"content": "Lilibeth and her friends go strawberry picking. Lilibeth fills x baskets where each basket holds 50 strawberries. If three of Lilibeth's friends pick the same amount as her, Lilibeth and her friends pick 1200 strawberries in all. What is the value of unknown variable x?",
"role": "user"
},
... |
[
{
"content": "$(16)^{\\frac34}=2^k$. Find $k$.",
"role": "user"
},
{
"content": "Let's write a simple program to solve for $k$.\n```python\nfrom math import log, exp\n\nk = log(16**(3/4))/log(2)\nprint(k)\n```",
"role": "assistant"
},
{
"content": "```output\n3.0\n```",
"role": "user... |
[
{
"content": "Factor $58x^5-203x^{11}$.",
"role": "user"
},
{
"content": "We can use sympy to factor polynomials:\n```python\nfrom sympy import symbols, factor\n\n# Define the variables\nx = symbols('x')\n\n# Define the polynomial\npolynomial = 58*x**5 - 203*x**11\n\n# Factor the polynomial\nfactors... |
[
{
"content": "Johnny TV makes 25 percent more movies than L&J Productions each year. If L&J Productions produces 220 movies in a year, how many movies does the two production companies produce in five years combined?",
"role": "user"
},
{
"content": "Let's solve this problem using Python code.\n```... |
[
{
"content": "After moving to a new city for her new job two weeks ago, Kathryn paid $1200 in rent, which was half of what she spent on food and travel expenses in a month. Fortunately, she found a roommate, Shelby, who agreed to split the rent with her. If Kathryn's monthly salary is $5000, how much money does... |
[
{
"content": "Nina makes one-of-a-kind jewelry and sells it at a local boutique. She charges $25.00 for her necklaces, $15.00 for bracelets and $10.00 for a pair of earrings. Over the weekend, she sold 5 necklaces, 10 bracelets, 20 earrings, and received 2 orders for a complete jewelry ensemble that Nina char... |
[
{
"content": "A company that sells widgets has to pay $\\$500$ in maintenance fees each day and then it pays each worker $\\$15$ per hour. Each worker makes 5 widgets per hour, which are sold at $\\$3.10$ each. What is the least number of workers the company has to hire in order to make a profit in an 8-hour wo... |
[
{
"content": "What is the sum of the reciprocals of the natural-number factors of X?\nIf we know the answer to the above question is 2, what is the value of unknown variable X?",
"role": "user"
},
{
"content": "Let us first express the given problem mathematically.\nGiven X, we are required to find ... |
[
{
"content": "Find the value of the first term in an infinite sequence with a common ratio of 1/8, given that the sum of all the terms is 60.",
"role": "user"
},
{
"content": "I can find it using python.\n```python\nfrom sympy import S\n\n# Given sum and common ratio\ntotal_sum = S(60)\ncommon_ratio... |
[
{
"content": "Mark loves to see shows in theaters. He decided to visit the theater at least once a week. One performance lasts x hours. The price of the ticket depends on the time spent in the theater and stands at $5 for each hour. Mark will spend 90 on visits to the theater in 6 weeks. What is the value of un... |
[
{
"content": "A fraction has a numerator which, when increased by 4 and then squared, gives a result of 3249. If the denominator of this fraction is also 14 less than 6 times the original numerator and the fraction is equivalent to $3/5$, what is the original numerator?",
"role": "user"
},
{
"conten... |
[
{
"content": "Lizette scored x on her third quiz giving her an average of 94. Lizette's average in her first two quizzes is 95. What is the value of unknown variable x?",
"role": "user"
},
{
"content": "Let's solve this problem using Python's sympy library.\n```python\nimport sympy as sp\n\n# denoti... |
[
{
"content": "A triangle has vertices at $(6,8)$, $(-2, k)$, and $(-10, 4)$. If the slope of the line passing through $(6,8)$ and $(-2, k)$ is equal to the slope of the line passing through $(-2, k)$ and $(-10, 4)$, what is the value of $k$?",
"role": "user"
},
{
"content": "To find the value of $k$... |
[
{
"content": "A box contains 5 white balls and X black balls. Five balls are drawn out of the box at random. The probability that they all are white is 462. What is the value of unknown variable X?",
"role": "user"
},
{
"content": "The probability of picking 5 white balls can be calculated as the n... |
[
{
"content": "X balls numbered 1 through 12 are placed in a bin. In how many ways can 3 balls be drawn, in order, from the bin, Each ball remains outside the bin after it is drawn and the answer is 1320. What is the value of unknown variable X?",
"role": "user"
},
{
"content": "Given that each ball... |
[
{
"content": "If $\\log_{10}\\sin x + \\log_{10}\\cos x= -1$, what is the value of $n$ in the equation $\\log_{10}(\\sin x \\cdot n) + \\log_{10}(\\cos x \\cdot n)= 1$?",
"role": "user"
},
{
"content": "To solve this problem, we need to find a value of $n$ that makes the following equation true:\n$\... |
[
{
"content": "One batch of cookies requires 4 cups of flour and x cups of sugar. How many cups of flour and sugar combined would be needed for 8 batches?\nIf we know the answer to the above question is 44, what is the value of unknown variable x?",
"role": "user"
},
{
"content": "Let's solve this pr... |
[
{
"content": "Find the smallest positive integer $n$ such that $\\gcd(83^n+83, 83^n+83^4+83)$ is equal to $1$.",
"role": "user"
},
{
"content": "First, let's recall the definition of $\\gcd$:\n```python\nimport sympy\n\n# function to compute the gcd\nsympy.gcd\n```",
"role": "assistant"
},
{... |
[
{
"content": "Jack has $x and 36 euros. If each euro is worth two dollars, He has 117 money total in dollars. What is the value of unknown variable x?",
"role": "user"
},
{
"content": "Let's solve this problem using Python code.\n```python\n# one euro is 2 dollars\neuro_in_dollars = 2\n# 36 euros ar... |
[
{
"content": "Lily has three pairs of earrings. Each pair is distinct (hoop, stud, dangling). She also has exactly one bracelet matching each pair of earrings. If she picks a pair of earrings and a bracelet, how many outfits can she assemble? An outfit is defined by a set of earrings and a bracelet, such as hoo... |
[
{
"content": "If a list of numbers begins with 147 and ends with 39, with each subsequent number being 3 less than the previous, how many numbers are in the list?",
"role": "user"
},
{
"content": "To calculate the length of the list, we can simply subtract the second number from the first number.\n`... |
[
{
"content": "Alex prepared $24$ pies for a local bakery. These pies were of three types: apple, blueberry, and cherry. If the ratio of apple pies to blueberry pies to cherry pies he baked is $1:4:3$, how many were cherry pies?",
"role": "user"
},
{
"content": "Let's write down an equation for the n... |
[
{
"content": "A rectangular flowerbed in the city park is x meters wide. Its length is 1 meter less than twice its width. The government wants to fence the flowerbed. How many meters of fence are needed?\nIf we know the answer to the above question is 22, what is the value of unknown variable x?",
"role": "... |
[
{
"content": "From the letters in EQUALS, how many different sequences of four letters can be formed if each sequence must start with L, end with Q, and no letter can be repeated in a sequence?",
"role": "user"
},
{
"content": "Let's list out all possible 4-letter sequences from the letters in EQUAL... |
[
{
"content": "Nina made a two-layer cake and a dozen cupcakes for her friend’s birthday party. Each layer of cake takes the same amount of sugar to make as a dozen cupcakes. Nina used x grams of sugar to bake everything. How many grams of sugar are in one cupcake?\nIf we know the answer to the above question is... |
[
{
"content": "What is the smallest positive integer with six positive odd integer divisors and twelve positive even integer divisors?",
"role": "user"
},
{
"content": "Let us first generate the set of positive odd divisors and positive even divisors of each number.\nWe can do this using sympy:\n```p... |
[
{
"content": "If you multiply 2.24 by 5, add 1.2, and then subtract 0.4, what fraction do you get?",
"role": "user"
},
{
"content": "It is very easy to check with Python.\nWe'll just call the sum of the result and extract the numerator and denominator.\n```python\n# Initialize result to 0\nresult = ... |
[
{
"content": "The base five number $2341_5$ is equal to which base ten number?",
"role": "user"
},
{
"content": "Let's write a function that converts base five numbers to base ten.\nWe will use a bottom-up (naive) approach, so we are going to perform a loop with $\\texttt{for x in range(len(base5_nu... |
[
{
"content": "In triangle ABC, where AB = 16, AC = 24, BC = 19, and AD is an angle bisector, determine the ratio of the area of triangle ABD to the area of triangle ACD. Express your answer in lowest terms as a fraction.",
"role": "user"
},
{
"content": "We can use Heron's formula to calculate areas... |
[
{
"content": "What is the total area, in square inches, of canvas that Mary needs to make three sails for her model sailboat? The sails include a rectangular sail measuring 5 inches by 8 inches and two right triangular sails, one with a base of 3 inches and a height of 4 inches, and the other with a base of 4 i... |
[
{
"content": "Mr. Maximilian is a dairy animal farmer and has 140 cows on his farm. Forty percent of the cows on his farm have a red spot, 25 percent of the cows without a red spot have a blue spot and the remaining cows do not have any spot. How many cows on the farm have no spot?",
"role": "user"
},
{... |
[
{
"content": "A shopkeeper hikes the price of an item from $50 to 120% above its original price. What is the new price of the item?",
"role": "user"
},
{
"content": "Let's solve this problem using Python code.\n```python\noriginal_price = 50\npercent_increase = 120\nincrease_portion = percent_increa... |
[
{
"content": "If Aang caught 7 fish, then Sokka caught x fish, and then Toph caught 12 fish, The average amount of fish that each person caught is 8. What is the value of unknown variable x?",
"role": "user"
},
{
"content": "Let's solve this problem using Python code.\n```python\nnumber_of_fish_that... |
[
{
"content": "For the quadratic equation \\[(x+5)^2 - (4y-3)^2 = a,\\] if it is known to represent a hyperbola, and \\[a=140,\\] find the value of \\[a.\\]",
"role": "user"
},
{
"content": "The given equation is a polynomial.\nAs per the example given in the prompt we can retrieve its variables.\n``... |
[
{
"content": "The sum of consecutive numbers from $-30$ to $N$ is 810. What is the value of $N$?",
"role": "user"
},
{
"content": "We can iterate through all numbers from $-30$ to $N$ and calculate their sum.\n```python\nfor n in range(-30, 1000):\n # Calculate the sum from -30 to n\n sum_of_n... |
[
{
"content": "In a box, there are six uniquely numbered cubes labeled with the numbers 2, 3, 4, 5, 6, and 7. If you randomly pick one cube, what is the likelihood that its number is prime?",
"role": "user"
},
{
"content": "Let's write a simple program to find the fraction of prime numbers in a given... |
[
{
"content": "Solve the equation $x^4-10x^2+9=0$ to find the largest $x$ value.",
"role": "user"
},
{
"content": "We can use Python's sympy library to solve the quadratic equation.\n```python\nfrom sympy import symbols, solve\n\n# Use sympy to solve the equation\nx = symbols('x')\nroots = solve(x**4... |
[
{
"content": "What is the value of $\\frac{2013^3-2 \\cdot X \\cdot 2014+3 \\cdot 2013 \\cdot 2014^2-2014^3+1}{2013 \\cdot 2014}$?\nIf we know the answer to the above question is 2013, what is the value of unknown variable X?",
"role": "user"
},
{
"content": "First, let's solve the given expression ... |
[
{
"content": "If there are 3 other people in the household and each person drinks 2 cups of coffee per day, and it takes 0.5 ounces of coffee per cup, and the cost of coffee is $1.25 per ounce, how much does James spend on coffee in a week?",
"role": "user"
},
{
"content": "Let's solve this problem ... |
[
{
"content": "With 360 feet of fencing at his disposal, Mike is planning to enclose a three-sided rectangular pasture against his barn. What is the largest area he can fence in?",
"role": "user"
},
{
"content": "Let's assume that the sides of the rectangle are $x$ and $y$ and let's use sympy to set ... |
[
{
"content": "A charity organization's goal is to distribute 400 boxes of food to a community that was recently destroyed by a flood. Each box contains $80 worth of food and $165 worth of additional supplies such as toiletries and fresh linens. Then, an anonymous donor gives the organization 4 times the amount ... |
[
{
"content": "An integer between $1000$ and $9999$, inclusive, is called balanced if the sum of its two leftmost digits equals the sum of its two rightmost digits. How many balanced integers are there?",
"role": "user"
},
{
"content": "Let us define $a$, $b$, $c$, $d$ as the four digits.\nSolution i... |
[
{
"content": "Given the following equations, $4k-5l=23$ and $2k+4l=-8$, calculate the total of k plus l.",
"role": "user"
},
{
"content": "Let's first solve for $k$ and $l$ using sympy.\n```python\nimport sympy as sp\n\nk, l = sp.symbols('k l')\n\n# given two equations\neq1 = 4*k - 5*l - 23\neq2 = 2... |
[
{
"content": "The owner of a small store divided the sugar into 12 packs. If each pack weighs 250 grams and has 20 grams of sugar left, how many grams of sugar did he start with?",
"role": "user"
},
{
"content": "Let's solve this problem using Python code.\n```python\nnumber_of_packs = 12\nweight_of... |
[
{
"content": "If Jonessa's pay is $500 and 10% of it goes towards taxes, what is her take-home pay?",
"role": "user"
},
{
"content": "Let's solve this problem using Python code.\n```python\npay = 500\ntax_portion = 10 / 100\ntake_home_pay = pay - pay * tax_portion\ntake_home_pay\n```",
"role": "... |
[
{
"content": "What is the remainder when (99)(101) + 27 is divided by 9?",
"role": "user"
},
{
"content": "First, let's use sympy to calculate the remainder when dividing by 9.\n```python\nimport sympy\n\nA, B = sympy.symbols('A B')\n\nremainder = (A*B + 27) % 9\nremainder\n```",
"role": "assist... |
[
{
"content": "Using the floor function $\\lfloor x\\rfloor$, which yields the biggest integer value smaller or equal to $x$, like $\\lfloor 4.56\\rfloor = 4$, $\\lfloor -3.21\\rfloor = -4$, and $\\lfloor 5\\rfloor = 5$.\n\nIdentify the range for the following function $$k(x) = \\lfloor x\\rfloor - x~?$$The answ... |
[
{
"content": "The faucet in Betsy's bathroom is broken. Every minute it drips about x times. What amount of water is wasted during one hour if each drop contains 0. The answer is 30 for 05 mL. What is the value of unknown variable x?",
"role": "user"
},
{
"content": "Let's solve this problem using P... |
[
{
"content": "If $\\overrightarrow{OA}\\perp\\overrightarrow{OC}$ and $\\overrightarrow{OB}\\perp\\overrightarrow{OD}$ in the given diagram, and $\\angle{AOD}$ is 3.5 times $\\angle{BOC}$, what is the measure of $\\angle{AOD}$?",
"role": "user"
},
{
"content": "Let $M$ be the angle $\\angle{AOD}$ an... |
[
{
"content": "Our school's girls volleyball team has 14 players, including a set of X triplets: Alicia, Amanda, and Anna. We can choose 6 starters in 1848 ways if at most one of the triplets is in the starting lineup. What is the value of unknown variable X?",
"role": "user"
},
{
"content": "The num... |
[
{
"content": "Calculate the unit place digit of the product obtained by multiplying all odd numbers in the range 10-110.",
"role": "user"
},
{
"content": "To calculate the unit place digit of the product obtained by multiplying all odd numbers in the range 10-110, I wrote the following Python code t... |
[
{
"content": "For non-zero values of $m$, $n$, and $o$, define $$\n\\text{{S}}(m,n,o) = \\frac{m}{n} + \\frac{n}{o} + \\frac{o}{m}.\n$$Find $\\text{{S}}(5, 10, 20)$.",
"role": "user"
},
{
"content": "To compute the value of S(5,10,20), we will simply put in the given values. \n```python\nm = 5\nn = ... |
[
{
"content": "Milton has some books about zoology and 4 times as many books about botany. If he has 80 books total, how many zoology books does he have?",
"role": "user"
},
{
"content": "Let's solve this problem using Python code.\n```python\ntotal_number_of_books = 80\nnumber_of_botany_books = 4\nn... |
[
{
"content": "What is the product of the x-coordinates where the line $10x + 16y = 40$ intersects the parabola $y = x^2$?",
"role": "user"
},
{
"content": "To compute the product of the x-coordinates where the line and the parabola intersects, we need to solve for the points of intersections.\nFirst... |
[
{
"content": "If $\\sqrt2 \\sin 10^\\circ$ can be written as $\\cos \\theta - \\sin\\theta$ for some acute angle $\\theta,$ what is $\\theta?$ (Give your answer in degrees, not radians.)",
"role": "user"
},
{
"content": "Let's first convert the given \\[\\sqrt2 \\sin 10^\\circ = \\cos(\\theta) - \\s... |
[
{
"content": "Aboard the Galactic Patrol Ship Nebulon, there are four vacant positions to be filled: Propulsion Expert, Armament Handler, Environmental Systems Expert, and Communication Liaison. The captain has evaluated 24 potential recruits and only considers 12 to be qualified. In how many distinct arrangeme... |
[
{
"content": "The population of Mojave was x a decade ago. If the town's population has increased three times, and the population analysis firm predicts that it will increase by 40% after five years, There will be 16800 people in Mojave in five years. What is the value of unknown variable x?",
"role": "user... |
[
{
"content": "If $x = \\lfloor{\\pi}\\rfloor$, evaluate $5x + 2$.",
"role": "user"
},
{
"content": "We can compute this using Python.\n```python\nimport math\n\n# Because the question asks to find the floor of pi, let's round pi down to the nearest integer\nx = int(math.floor(math.pi))\n\n# 5x + 2\n... |
[
{
"content": "The minimum number of students in a choir such that they can be evenly divided into groups of 6, 7, or 8 is what number?",
"role": "user"
},
{
"content": "To compute the least common multiple (LCM) of 6, 7, and 8, let's utilize the library for number theory.\n```python\nfrom sympy impo... |
[
{
"content": "Calculate the number of natural numbers between $1$ and $150$ excluding those that are exact squares or exact cubes.",
"role": "user"
},
{
"content": "Let's use Python to get a list of integers from 1 to 150.\n```python\nx = list(range(1, 151))\nprint(x)\n```",
"role": "assistant"
... |
[
{
"content": "If one sixth of the pea patch is equal to 5 square feet and the pea patch is twice as big as the radish patch, what is the size of the entire radish patch in square feet?",
"role": "user"
},
{
"content": "Let's use an equation to solve this problem.\n```python\n# let's denote pea patch... |
[
{
"content": "What is the second smallest four-digit number in Pascal's triangle?",
"role": "user"
},
{
"content": "To calculate the second smallest four-digit number in Pascal's triangle we can use the binomial coefficient ${N \\choose M} = \\frac{N!}{M!(N-M)!}$.\nLet's try a few values for N and M... |
[
{
"content": "The running time of Beast of War: Armoured Command is 10 minutes longer than that of Alpha Epsilon, which is 30 minutes shorter than that of Millennium. If Millennium runs for x hours, The running time of Beast of War: Armoured Command is 100 minutes. What is the value of unknown variable x?",
... |
[
{
"content": "Mandy is ten years older than Jackson. Adele is 3/4 as old as Jackson. What's the total of their ages x years from now If Jackson is 20 years old now?\nIf we know the answer to the above question is 95, what is the value of unknown variable x?",
"role": "user"
},
{
"content": "Let's so... |
[
{
"content": "Compute $\\cos^2 75^\\circ \\cdot \\cos^2 15^\\circ.$",
"role": "user"
},
{
"content": "Since $\\cos 75 = \\sin 15$, we have that:\n```python\nimport numpy as np\n\ncos75 = np.cos(np.deg2rad(75))\ncos15 = np.cos(np.deg2rad(15))\n\ncos75_square = cos75**2\ncos15_square = cos15**2\n\ncos... |
[
{
"content": "What is the measure, in degrees, of angle $EFG$ if line segment $AD$ is parallel to line segment $FG$?",
"role": "user"
},
{
"content": "Let's write down the relevant equations based on the above information.\n```python\nimport sympy as sp\n\n# define the angle (in radians)\ntheta = sp... |
[
{
"content": "What is the slope of the line determined by any two solutions to the equation $\\frac{2}{x}+\\frac{3}{y} = 0$? Express your answer as a common fraction.",
"role": "user"
},
{
"content": "The equation $\\frac{2}{x}+\\frac{3}{y}=0$ can be rewritten as $2x + 3y = 0$.\nWe can now solve the... |
[
{
"content": "An 8.5-meter ladder is leaning against a vertical wall. How many meters is its base from the wall if the ladder reaches 7.5 meters up the wall?",
"role": "user"
},
{
"content": "The problem describes a right triangle.\nIf we denote $L$ as the length of the ladder and $B$ as the distanc... |
[
{
"content": "Ryan is considering buying a new multivitamin brand. Each pill has x mg of Vitamin A in it. The recommended daily serving of Vitamin A is 200 mg. How many pills does Ryan need to hit the recommended amount for the week?\nIf we know the answer to the above question is 28, what is the value of un... |
[
{
"content": "Consider you're drawing two cards back-to-back from a well shuffled standard deck without putting any back in between the draws. What's the probability that you'll draw a diamond followed by a spade?",
"role": "user"
},
{
"content": "Let $P$ be the probability of drawing a diamond, and... |
[
{
"content": "Find the complex number $z$ such that when you double it and subtract the triple of its conjugate multiplied by $i$, you get $-7$ plus three times $i$.",
"role": "user"
},
{
"content": "We need to find a complex number $z = x + yi$ such that $2z - i(x - yi)^3 = -7 + 3i$.\nWe can write ... |
[
{
"content": "Grandma gave Bryce, Carter, Emily, and Daniel some raisins. Bryce received 6 more raisins than Carter, Carter received half the number of raisins Bryce received, Emily got twice as many as Bryce and Daniel got 10 fewer than Emily. How many raisins did Daniel receive?",
"role": "user"
},
{
... |
[
{
"content": "Consider points $(7,9)$ and $(10, 9)$ on the Cartesian plane that form one side of a square. Calculate the area of this square.",
"role": "user"
},
{
"content": "To calculate the area of the square, we must first calculate the length of its side.\nTo do so we will use Python's sympy li... |
[
{
"content": "Sarah uses 1 ounce of shampoo, and one x% as much conditioner as shampoo daily. In two weeks, what is the total volume of shampoo and conditioner, in ounces, Sarah will use 21. What is the value of unknown variable x?",
"role": "user"
},
{
"content": "Let's solve this problem using Py... |
[
{
"content": "What is the minimum value of the quadratic function $f(x) = x^2 + 10x + 21$?",
"role": "user"
},
{
"content": "The minima of a quadratic function can be found by finding the root of the derivative of the function.\nTo calculate the derivative, we will use Python's NumPy library.\nOnce ... |
[
{
"content": "If each token at the batting cages allows for 15 pitches, and Macy used 11 tokens while Piper used 17 tokens, with Macy hitting the ball 50 times and Piper hitting the ball 55 times, what is the total number of pitches that Macy and Piper missed altogether?",
"role": "user"
},
{
"conte... |
[
{
"content": "Mary Anne drinks 1/5 of a bottle of sparkling water every night at dinner. If each bottle costs her x, how much does she spend on sparkling water every year?\nIf we know the answer to the above question is 146, what is the value of unknown variable x?",
"role": "user"
},
{
"content": ... |
[
{
"content": "In a town, there is a multi-story parking lot, which has room for 425 cars. The parking lot has 5 levels, each of the same size. How many more cars can one level fit if there are already 23 parked cars on that level?",
"role": "user"
},
{
"content": "Let's solve this problem using Pyth... |
[
{
"content": "If a woodworker has crafted a total of 40 furniture legs, which is the exact amount needed for their projects, and they have built 6 chairs using these legs, how many tables have they made?",
"role": "user"
},
{
"content": "Let's solve this problem using Python code.\n```python\nnumber... |
[
{
"content": "On his daily excursion, Dave managed to travel 30 miles at a consistent speed of 10 mph followed by a quick sprint of 10 miles at 30 mph. Can you determine his overall average speed for the entire course?",
"role": "user"
},
{
"content": "The total distance traveled is $M + 10 = N$ mil... |
[
{
"content": "The capacity of Karson's home library is 400 books. If he currently has x books, He has to buy 240 more books to make his library 90% full. What is the value of unknown variable x?",
"role": "user"
},
{
"content": "Let's solve this problem using Python code.\n```python\ncapacity_of_lib... |
[
{
"content": "There are x students in the general study hall and twice as many students in the biology hall as there are in the general study hall. If the number of students in the math hall is 3/5 times as many as the combined total number of students in the general study hall and the biology hall combined, c... |
[
{
"content": "During a 3-day road trip, Jade had to drive for 8 hours each day and Krista had to drive for 6 hours each day to reach their destination. What is the total number of hours they drove together?",
"role": "user"
},
{
"content": "Let's solve this problem using Python code.\n```python\nhou... |
[
{
"content": "Find the absolute value of the product of the complex numbers $4\\sqrt{2}$ minus $4i$ and $\\sqrt{3}$ plus $3i$.",
"role": "user"
},
{
"content": "It is very easy to work with complex numbers if you're just using algebra and basic properties.\nHowever, we can use numpy for this task.\n... |
[
{
"content": "The sum of the second, fourth, and fifth of five consecutive even integers is 390. What is the value of the first integer?",
"role": "user"
},
{
"content": "For consecutive even integers, we can represent them as $x, x + 2, x + 4, x + 6, x + 8$.\nWe know that the sum of the second, fou... |
[
{
"content": "Will's breakfast supplied him 900 calories of energy. Then he decided to jog for half an hour, which used up x calories of energy per minute. Will's net calorie intake after jogging is 600. What is the value of unknown variable x? What is the value of unknown variable x?",
"role": "user"
},
... |
[
{
"content": "By what common fraction does $0.\\overline{81}$ exceed $0.81$?",
"role": "user"
},
{
"content": "By substituting the repeating decimal 0.81 as a fraction, we can easily figure out this. \nSince 0.81 is a repeating decimal, we can rewrite it as $\\frac{81}{99}$. \nNow $0.81 + 0.\\overli... |
[
{
"content": "If 3 pages can be photocopied for 5 cents, how many pages can be photocopied with a $\\$20$ bill?",
"role": "user"
},
{
"content": "If 3 pages can be photocopied for $0.05$, we can find the price per page as $\\frac{0.05}{3} = 0.016666667$ (6 decimal places).\n```python\n# How many pag... |
[
{
"content": "In the set of prime numbers that divide 990 without leaving a remainder, what is the sum of the smallest and the largest primes?",
"role": "user"
},
{
"content": "We will use the sympy library in Python to solve this problem. First, we will find the prime factors of 990 using the fract... |
[
{
"content": "Find $\\left(\\frac{1}{2}\\right)^{4}$.",
"role": "user"
},
{
"content": "We can use Python code to solve this problem.\n\n```python\nfrom fractions import Fraction\n\ndef power(num: int, power: int) -> int:\n return Fraction(1, 2)**power\n\nprint(power(1, 4))\n```",
"role": "as... |
[
{
"content": "Jason waits on a customer whose check comes to $15.00. Jason's state applies a 20% tax to restaurant sales. If the customer gives Jason a $20 bill and tells him to keep the change, how much is Jason's tip?",
"role": "user"
},
{
"content": "Let's solve this problem using Python code.\n`... |
[
{
"content": "During a sale on pencils at the school store, ten students made purchases. The first two students bought 2 pencils each, the next six students bought three pencils each, and the last two students bought one pencil each. What is the total number of pencils that were sold?",
"role": "user"
},
... |
[
{
"content": "Uncle Jerry wants to reap ripe tomatoes from his garden. Yesterday, he was able to reap 120 tomatoes. Today, he was able to reap x more tomatoes than yesterday. How many tomatoes did Uncle Jerry reap?\nIf we know the answer to the above question is 290, what is the value of unknown variable x?",
... |
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