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[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nA man is returning home from work and trying to decide which route to take. His first route option includes 3 stoplights. This route will take him 10 minutes if all three lights are green, but each light that is...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nA man is returning home from work and trying to decide which route to take. His first route option includes 3 stoplights. This route will take him 10 minutes if all three lights are green, but each light that is...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nKelly has 8 chickens that lay 3 eggs each per day. If Kelly sells these eggs for $x a dozen. She will make 280 money in 4 weeks if she sells all her eggs. What is the value of unknown variable x?\n\n### Answer:\n"...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nKelly has 8 chickens that lay 3 eggs each per day. If Kelly sells these eggs for $x a dozen. She will make 280 money in 4 weeks if she sells all her eggs. What is the value of unknown variable x?\n\n### Answer:\n"...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nTerrell usually lifts two 20-pound weights 12 times. If he uses two 15-pound weights instead, how many times must Terrell lift them in order to lift the same total weight?\n\n### Answer:\n", "role": "user" }...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nTerrell usually lifts two 20-pound weights 12 times. If he uses two 15-pound weights instead, how many times must Terrell lift them in order to lift the same total weight?\n\n### Answer:\n", "role": "user" }...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nThe number $a+\\sqrt{b}$ and its radical conjugate have a sum of $-4$ and a product of $1$. Find $a+b$.\n\n### Answer:\n", "role": "user" }, { "content": "The radical conjugate of $a + \\sqrt{b}$ is $a...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nThe number $a+\\sqrt{b}$ and its radical conjugate have a sum of $-4$ and a product of $1$. Find $a+b$.\n\n### Answer:\n", "role": "user" }, { "content": "The radical conjugate of $a+\\sqrt{b}$ is $a-\...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nJordan decides to start an exercise program when he weighs 250 pounds. For the first 4 weeks, he loses x pounds a week. After that, he loses 2 pounds a week for 8 weeks. How much does Jordan now weigh?\nIf we k...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nJordan decides to start an exercise program when he weighs 250 pounds. For the first 4 weeks, he loses x pounds a week. After that, he loses 2 pounds a week for 8 weeks. How much does Jordan now weigh?\nIf we k...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nLet GCF(a, b) be the abbreviation for the greatest common factor of a and b, and let LCM(c, d) be the abbreviation for the least common multiple of c and d. What is GCF(LCM(8, 14), LCM(7, 12))?\n\n### Answer:\n", ...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nLet GCF(a, b) be the abbreviation for the greatest common factor of a and b, and let LCM(c, d) be the abbreviation for the least common multiple of c and d. What is GCF(LCM(8, 14), LCM(7, 12))?\n\n### Answer:\n", ...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nIf the cost of five pencils and one pen is $2.50, and the cost of one pencil and two pens is $1.85, what is the cost of two pencils and one pen?\n\n### Answer:\n", "role": "user" }, { "content": "Let t...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nIf the cost of five pencils and one pen is $2.50, and the cost of one pencil and two pens is $1.85, what is the cost of two pencils and one pen?\n\n### Answer:\n", "role": "user" }, { "content": "The c...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nYuri has been adopting puppies for a month now. The first week he adopted 20 puppies, the second week 2/5 times as many puppies as the first week, the third week twice the number of puppies he adopted in the secon...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nYuri has been adopting puppies for a month now. The first week he adopted 20 puppies, the second week 2/5 times as many puppies as the first week, the third week twice the number of puppies he adopted in the secon...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nA wooden model of a square pyramid has a base edge of 12 cm and an altitude of 8 cm. A cut is made parallel to the base of the pyramid that separates it into two pieces: a smaller pyramid and a frustum. Each base ...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nA wooden model of a square pyramid has a base edge of 12 cm and an altitude of 8 cm. A cut is made parallel to the base of the pyramid that separates it into two pieces: a smaller pyramid and a frustum. Each base ...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nEvaluate $\\lfloor17.2\\rfloor+\\lfloor-17.2\\rfloor$.\n\n### Answer:\n", "role": "user" }, { "content": "The greatest integer less than or equal to $17.2$ is $17$,\nand the greatest integer less than ...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nEvaluate $\\lfloor17.2\\rfloor+\\lfloor-17.2\\rfloor$.\n\n### Answer:\n", "role": "user" }, { "content": "$\\lfloor17.2\\rfloor+\\lfloor-17.2\\rfloor=17+(-18)=17-18=-1$\n\n### Explanation:\nThe floor f...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nChip takes 2 pages of notes every day, 5 days a week, for each of his 5 classes. His notebook paper comes in packs of 100 sheets of paper per pack. After x weeks, how many packs of notebook paper will Chip use?\...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nChip takes 2 pages of notes every day, 5 days a week, for each of his 5 classes. His notebook paper comes in packs of 100 sheets of paper per pack. After x weeks, how many packs of notebook paper will Chip use?\...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nWhat is the value of the expression 1273 + 120 ÷ 60 - 173?\n\n### Answer:\n", "role": "user" }, { "content": "First, we perform the division: $120 \\div 60 = 2$.\nThen, we perform the addition and subt...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nWhat is the value of the expression 1273 + 120 ÷ 60 - 173?\n\n### Answer:\n", "role": "user" }, { "content": "The value of the expression 1273 + 120 ÷ 60 - 173 is 1273 + 2 - 173 = 1273 + 2 - 173 = 1273...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nA liter of chlorine costs $10 and is now sold at 20% off. A box of soap that costs $16 is now sold at 25% off. How much will you save if you buy 3 liters of chlorine and 5 boxes of soap?\n\n### Answer:\n", "ro...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nA liter of chlorine costs $10 and is now sold at 20% off. A box of soap that costs $16 is now sold at 25% off. How much will you save if you buy 3 liters of chlorine and 5 boxes of soap?\n\n### Answer:\n", "ro...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nIf Nina wants to purchase a new video game that costs $50 and there is a 10 percent sales tax, and she receives $10 as her weekly allowance and plans to save half of it, how many weeks will it take for Nina to sav...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nIf Nina wants to purchase a new video game that costs $50 and there is a 10 percent sales tax, and she receives $10 as her weekly allowance and plans to save half of it, how many weeks will it take for Nina to sav...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nExpress $249_{11}+3AB_{12}$ as a base 10 integer. Here $A$ and $B$ denote the digits whose values are 10 and 11, respectively, in base 12.\n\n### Answer:\n", "role": "user" }, { "content": "We have $24...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nExpress $249_{11}+3AB_{12}$ as a base 10 integer. Here $A$ and $B$ denote the digits whose values are 10 and 11, respectively, in base 12.\n\n### Answer:\n", "role": "user" }, { "content": "$249_{11}+3...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nEvery year, Tabitha adds a new color to her hair. She started this tradition when she was 15 years old, which was the year she added her second hair color. In three years, Tabitha will have 8 different colors in...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nEvery year, Tabitha adds a new color to her hair. She started this tradition when she was 15 years old, which was the year she added her second hair color. In three years, Tabitha will have 8 different colors in...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nDefine $a \\Delta b = a^2 -b $. What is the value of $ (2^{4 \\Delta13})\\Delta(3^{3\\Delta5})$\n\n### Answer:\n", "role": "user" }, { "content": "First, we find $4 \\Delta 13$ which is $4^2 - 13 = 16...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nDefine $a \\Delta b = a^2 -b $. What is the value of $ (2^{4 \\Delta13})\\Delta(3^{3\\Delta5})$\n\n### Answer:\n", "role": "user" }, { "content": "$ (2^{4 \\Delta13})\\Delta(3^{3\\Delta5}) = (2^{4 \\D...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nMichael has a lot of matchsticks at home and decides to use them to make miniature models. As he is about to start crafting, he has second thoughts and decides to only use x% of his pile of matchsticks. He creates...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nMichael has a lot of matchsticks at home and decides to use them to make miniature models. As he is about to start crafting, he has second thoughts and decides to only use x% of his pile of matchsticks. He creates...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nTerry's daily income is $24, while Jordan's daily income is $30. Working 7 days a week, how much is the difference between their weekly incomes?\n\n### Answer:\n", "role": "user" }, { "content": "Terry...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nTerry's daily income is $24, while Jordan's daily income is $30. Working 7 days a week, how much is the difference between their weekly incomes?\n\n### Answer:\n", "role": "user" }, { "content": "The d...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nIf $x + \\frac{1}{x} = 6$, what is the value of $x^2 + \\frac{1}{x^2}$?\n\n### Answer:\n", "role": "user" }, { "content": "We square the equation $x + \\frac{1}{x} = 6$ to get $x^2 + 2 + \\frac{1}{x^2}...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nIf $x + \\frac{1}{x} = 6$, what is the value of $x^2 + \\frac{1}{x^2}$?\n\n### Answer:\n", "role": "user" }, { "content": "The value of $x^2 + \\frac{1}{x^2}$ is $36$.\n\n### Solution:\n\nWe are given ...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nJames is a first-year student at a University in Chicago. He has a budget of $1000 per semester. He spends 30% of his money on food, x% on accommodation, 25% on entertainment, and the rest on coursework materials....	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nJames is a first-year student at a University in Chicago. He has a budget of $1000 per semester. He spends 30% of his money on food, x% on accommodation, 25% on entertainment, and the rest on coursework materials....
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nIf each cup of dog food weighs 1/4 of a pound and Mike has 2 dogs that each consume 6 cups of dog food twice a day, how many 20-pound bags of dog food does he need to purchase in a month?\n\n### Answer:\n", "r...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nIf each cup of dog food weighs 1/4 of a pound and Mike has 2 dogs that each consume 6 cups of dog food twice a day, how many 20-pound bags of dog food does he need to purchase in a month?\n\n### Answer:\n", "r...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nAfter receiving the $2000 stimulus check, Mr. Eithan decided to share the amount with his family. He gave 2/5 of the amount to his wife, 2/5 of the remaining amount to his first son, 40% of the remaining amount to...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nAfter receiving the $2000 stimulus check, Mr. Eithan decided to share the amount with his family. He gave 2/5 of the amount to his wife, 2/5 of the remaining amount to his first son, 40% of the remaining amount to...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nWhat is the total amount that Nina spends on presents for her children if she purchases three toys at $10 each, two packs of basketball cards at $5 each, and five shirts at $6 each?\n\n### Answer:\n", "role": ...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nWhat is the total amount that Nina spends on presents for her children if she purchases three toys at $10 each, two packs of basketball cards at $5 each, and five shirts at $6 each?\n\n### Answer:\n", "role": ...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nIf Mike changed all the tires on 12 motorcycles and all the tires on 10 cars, what is the total number of tires that he changed?\n\n### Answer:\n", "role": "user" }, { "content": "Each motorcycle has 2...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nIf Mike changed all the tires on 12 motorcycles and all the tires on 10 cars, what is the total number of tires that he changed?\n\n### Answer:\n", "role": "user" }, { "content": "The total number of t...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nJeff wanted to rent an apartment to live in for the next 5 years until he finishes his studies. He found a nice apartment next to his school, the owner asks Jeff to pay $300 each month, Jeff agreed, and for the fi...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nJeff wanted to rent an apartment to live in for the next 5 years until he finishes his studies. He found a nice apartment next to his school, the owner asks Jeff to pay $300 each month, Jeff agreed, and for the fi...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nA right triangle has legs $a$ and $b$ and hypotenuse $c.$ Find the largest possible value of\n\\[\\frac{a + b}{c}.\\]\n\n### Answer:\n", "role": "user" }, { "content": "By the triangle inequality, $a ...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nA right triangle has legs $a$ and $b$ and hypotenuse $c.$ Find the largest possible value of\n\\[\\frac{a + b}{c}.\\]\n\n### Answer:\n", "role": "user" }, { "content": "The largest possible value of $...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nA circle is inscribed in a square, then a square is inscribed in this circle, and finally, a circle is inscribed in this square. What is the ratio of the area of the smaller circle to the area of the larger squ...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nA circle is inscribed in a square, then a square is inscribed in this circle, and finally, a circle is inscribed in this square. What is the ratio of the area of the smaller circle to the area of the larger squ...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nIf $x$ satisfies $\\frac{1}{2}-\\frac{1}{3}=\\frac{3}{x}$, then what is the value of $x$ ?\n\n### Answer:\n", "role": "user" }, { "content": "First, we simplify the left side of the equation to get $\\...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nIf $x$ satisfies $\\frac{1}{2}-\\frac{1}{3}=\\frac{3}{x}$, then what is the value of $x$ ?\n\n### Answer:\n", "role": "user" }, { "content": "he value of $x$ is $6$.\n\n### Explanation:\n\nGiven equati...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nDr. Harry wants to know how many candies Susan consumed during the week. Susan tells him she bought 3 on Tuesday, 5 on Thursday, 2 on Friday. If she has only x of them left, She ate 6.\n\n### Answer:\n", "role...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nDr. Harry wants to know how many candies Susan consumed during the week. Susan tells him she bought 3 on Tuesday, 5 on Thursday, 2 on Friday. If she has only x of them left, She ate 6.\n\n### Answer:\n", "role...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nWhat are the cylindrical coordinates of the point (-5, 0, -8) expressed as (r, θ, z), where r is greater than 0 and θ is between 0 and 2π?\n\n### Answer:\n", "role": "user" }, { "content": "The cylindr...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nWhat are the cylindrical coordinates of the point (-5, 0, -8) expressed as (r, θ, z), where r is greater than 0 and θ is between 0 and 2π?\n\n### Answer:\n", "role": "user" }, { "content": "The cylindr...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nEllie went to visit a circus with Sarah and they both got lost in the house of mirrors. They have to travel through the house of mirrors a few times before they finally get out and when they leave, they discuss ho...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nEllie went to visit a circus with Sarah and they both got lost in the house of mirrors. They have to travel through the house of mirrors a few times before they finally get out and when they leave, they discuss ho...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nA gift shop sells bracelets at $15 each, a gold heart necklace at $10, and a personalized coffee mug at $20. Raine buys three bracelets, x gold heart necklaces, and one coffee mug for her friends. How much chang...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nA gift shop sells bracelets at $15 each, a gold heart necklace at $10, and a personalized coffee mug at $20. Raine buys three bracelets, x gold heart necklaces, and one coffee mug for her friends. How much chang...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nA sequence of integers is defined as follows: $a_i = i$ for $1 \\le i \\le X and\n\\[a_i = a_1 a_2 \\dotsm a_{i - 1} - 1\\]for $i > 5.$ Evaluate $a_1 a_2 \\dotsm a_{2011} - \\sum_{i = 1}^{2011} a_i^2. The answer ...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nA sequence of integers is defined as follows: $a_i = i$ for $1 \\le i \\le X and\n\\[a_i = a_1 a_2 \\dotsm a_{i - 1} - 1\\]for $i > 5.$ Evaluate $a_1 a_2 \\dotsm a_{2011} - \\sum_{i = 1}^{2011} a_i^2. The answer ...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nEach of the symbols $\\star$ and $$ represents an operation in the set $\\{+,-,\\times,\\div\\}$, and $\\frac{12\\star 2}{93}=2$. What is the value of $\\frac{7\\star 3}{12*6}$? Express your answer as a common...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nEach of the symbols $\\star$ and $$ represents an operation in the set $\\{+,-,\\times,\\div\\}$, and $\\frac{12\\star 2}{93}=2$. What is the value of $\\frac{7\\star 3}{12*6}$? Express your answer as a common...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nJames has a total of 66 dollars in his piggy bank. He only has one dollar bills and two dollar bills in his piggy bank. If there are a total of 49 bills in James's piggy bank, how many one dollar bills does he hav...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nJames has a total of 66 dollars in his piggy bank. He only has one dollar bills and two dollar bills in his piggy bank. If there are a total of 49 bills in James's piggy bank, how many one dollar bills does he hav...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nMike is saving up to buy a house. He puts away x% of his $150,000 a year salary. He needs to save up 20% of the cost of a $450,000 house for a downpayment. It will take 6.\n\n### Answer:\n", "role": "user" ...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nMike is saving up to buy a house. He puts away x% of his $150,000 a year salary. He needs to save up 20% of the cost of a $450,000 house for a downpayment. It will take 6.\n\n### Answer:\n", "role": "user" ...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nJanice gets paid $10 an hour for the first 40 hours she works each week, and $15 each hour of overtime after that. If Janice works 60 hours one week, how much money does she make?\n\n### Answer:\n", "role": "u...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nJanice gets paid $10 an hour for the first 40 hours she works each week, and $15 each hour of overtime after that. If Janice works 60 hours one week, how much money does she make?\n\n### Answer:\n", "role": "u...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nJames is conducting a candy bar fundraiser, with each box containing 10 candy bars. He sells a total of 5 boxes. If he sells each candy bar for $1.50 and buys each bar for $1, what is the total profit he makes fro...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nJames is conducting a candy bar fundraiser, with each box containing 10 candy bars. He sells a total of 5 boxes. If he sells each candy bar for $1.50 and buys each bar for $1, what is the total profit he makes fro...
[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nAllie picked 44 wildflowers. Thirteen of the flowers were yellow and white, seventeen of the flowers were red and yellow, and 14 of the flowers were red and white. How many more flowers contained the color red t...	[ { "content": "Below is a math problem. Provide a detailed, step-by-step solution.\n\n### Problem:\nAllie picked 44 wildflowers. Thirteen of the flowers were yellow and white, seventeen of the flowers were red and yellow, and 14 of the flowers were red and white. How many more flowers contained the color red t...