Datasets:

1231czx
/

9B_iter2_gemma_N1_random_pair

gt stringlengths 0 43	chosen listlengths 4 14	rejected listlengths 4 14	rej sequencelengths 1 1
70	[ { "content": "Tony loved to solve difficult pen and paper puzzles. He did a warm-up puzzle that only took 10 minutes and after that he did 2 puzzles that each took 3 times as long. How long did he spend solving puzzles?", "role": "user" }, { "content": "Let's solve this problem using Python code.\...	[ { "content": "Tony loved to solve difficult pen and paper puzzles. He did a warm-up puzzle that only took 10 minutes and after that he did 2 puzzles that each took 3 times as long. How long did he spend solving puzzles?", "role": "user" }, { "content": "The warm-up puzzle takes 10 minutes. The fir...	[ "100" ]
344	[ { "content": "If Amelia does one load at a time, how many minutes will it take her to wash and dry all three loads, considering that the load of whites takes 72 minutes in the washing machine and 50 minutes in the dryer, the load of darks takes 58 minutes in the washing machine and 65 minutes in the dryer, and ...	[ { "content": "If Amelia does one load at a time, how many minutes will it take her to wash and dry all three loads, considering that the load of whites takes 72 minutes in the washing machine and 50 minutes in the dryer, the load of darks takes 58 minutes in the washing machine and 65 minutes in the dryer, and ...	[ "175" ]
103	[ { "content": "If $6543_{10}$ is converted to base 8, then each digit of the result is squared, and finally, the squared digits are summed, what is the final result?", "role": "user" }, { "content": "Let's write a program in python to get the result.\n```python\ndef to_base(num, base=10):\n digits...	[ { "content": "If $6543_{10}$ is converted to base 8, then each digit of the result is squared, and finally, the squared digits are summed, what is the final result?", "role": "user" }, { "content": "First, let's convert 6543 to base 8.\nThen, let's square each digit, and finally, we sum up the squar...	[ "" ]
10.5	[ { "content": "The sum of three numbers is $66$. The first number is $3$ times the third number, and the second number is $24$. What is the third number?", "role": "user" }, { "content": "Let's write down the equations based on the above information and solve them using sympy.\n```python\nfrom sympy ...	[ { "content": "The sum of three numbers is $66$. The first number is $3$ times the third number, and the second number is $24$. What is the third number?", "role": "user" }, { "content": "Let $x$, $y$, and $z$ be the three numbers.\nThe sum of these numbers is 66. Hence, $x+y+z = 66$.\nThe second num...	[ "10" ]
3	[ { "content": "$f (x) = x + X and $g(x) = x^2 -6$, The value of $f(g(2))$ is 1. What is the value of unknown variable X?", "role": "user" }, { "content": "Let's use sympy to find X.\n```python\nimport sympy as sp\n\nx = sp.symbols('x')\nX = sp.symbols('X')\n\nf = x + X\ng = x**2 - 6\n\nresult = f.sub...	[ { "content": "$f (x) = x + X and $g(x) = x^2 -6$, The value of $f(g(2))$ is 1. What is the value of unknown variable X?", "role": "user" }, { "content": "Let's first define $f$ and $g$ as functions in Python using sympy and compute their composition.\n```python\nfrom sympy import symbols, Function, ...	[ "0" ]
1	[ { "content": "The line segment connecting $(-2,7)$ and $(3,11)$ can be parameterized by the equations\n\\begin{align}\nx &= at + b, \\\\\ny &= ct + d,\n\\end{align}where $0 \\le t \\le X and $t = 0$ corresponds to the point $(-2,7).$ Find $a^2 + b^2 + c^2 + d^2. 94. What is the value of unknown variable X?",...	[ { "content": "The line segment connecting $(-2,7)$ and $(3,11)$ can be parameterized by the equations\n\\begin{align}\nx &= at + b, \\\\\ny &= ct + d,\n\\end{align}where $0 \\le t \\le X and $t = 0$ corresponds to the point $(-2,7).$ Find $a^2 + b^2 + c^2 + d^2. 94. What is the value of unknown variable X?",...	[ "94" ]
5	[ { "content": "I have X marbles numbered 1 through 5 in a bag. Suppose I take out two different marbles at random. What is the expected value of the sum of the numbers on the marbles?\nIf we know the answer to the above question is 6, what is the value of unknown variable X?", "role": "user" }, { "...	[ { "content": "I have X marbles numbered 1 through 5 in a bag. Suppose I take out two different marbles at random. What is the expected value of the sum of the numbers on the marbles?\nIf we know the answer to the above question is 6, what is the value of unknown variable X?", "role": "user" }, { "...	[ "3" ]
30	[ { "content": "Sasha made x chocolate muffins for her school bake sale fundraiser. Melissa made 4 times as many muffins as Sasha, and Tiffany made half of Sasha and Melissa's total number of muffins. If one muffin sold for $4, how much money did Sasha, Melissa, and Tiffany contribute to the fundraiser?\nIf we kn...	[ { "content": "Sasha made x chocolate muffins for her school bake sale fundraiser. Melissa made 4 times as many muffins as Sasha, and Tiffany made half of Sasha and Melissa's total number of muffins. If one muffin sold for $4, how much money did Sasha, Melissa, and Tiffany contribute to the fundraiser?\nIf we kn...	[ "300" ]
-15	[ { "content": "Given the functions $f(x) = 3x^2 - 7$, $g(t) = 4t + c$, $h(x) = g(f(x))$ and $j(y) = y^3 + h(y)$, if $h(2) = 5$ and $j(2) = 13$, what is the value of $c$?", "role": "user" }, { "content": "We have $h(x) = g(f(x))$ and $j(y) = y^3 + h(y)$.\nGiven that $h(2) = 5$ and $j(2) = 13$, we want...	[ { "content": "Given the functions $f(x) = 3x^2 - 7$, $g(t) = 4t + c$, $h(x) = g(f(x))$ and $j(y) = y^3 + h(y)$, if $h(2) = 5$ and $j(2) = 13$, what is the value of $c$?", "role": "user" }, { "content": "To solve for $c$, we first need to compute $h(x)$.\nThen use $h(x)$ as input to $j(x)$.\nWe can u...	[ "1" ]
60	[ { "content": "If a 40-foot tree is casting a 10-foot shadow, and Andrea is casting a 15-inch shadow at the same time, how tall is Andrea in inches?", "role": "user" }, { "content": "To solve this, we will use Python's sympy library.\n```python\nfrom sympy import Rational\n\n# Length of the tree is 4...	[ { "content": "If a 40-foot tree is casting a 10-foot shadow, and Andrea is casting a 15-inch shadow at the same time, how tall is Andrea in inches?", "role": "user" }, { "content": "First, let's convert 40 feet to inches:\n```python\n# Convert 40 feet to inches\ninch_per_foot = 12\nheight_in_feet = ...	[ "720" ]
3	[ { "content": "What is the value of the expression $\\left\\lceil\\left(-\\frac{5}{3}\\right)^2\\right\\rceil$ when evaluated?", "role": "user" }, { "content": "Let's use sympy to evaluate the expression.\n```python\nfrom sympy import ceiling\n\nexpression = ceiling(((-5/3)**2))\nprint(expression)\n`...	[ { "content": "What is the value of the expression $\\left\\lceil\\left(-\\frac{5}{3}\\right)^2\\right\\rceil$ when evaluated?", "role": "user" }, { "content": "I will simplify the answer and evaluate it using Python code.\n```python\nfrom sympy import ceiling\nfrom sympy import sqrt\n\n# simplify th...	[ "2" ]
1461	[ { "content": "If one were to begin counting from the start of 2001 to the end of 2004, how many days would have passed?", "role": "user" }, { "content": "Counting the number of days between two years is easy; there are 365 days in a year and 366 days in a leap year. 2004 is a leap year, while 2001, ...	[ { "content": "If one were to begin counting from the start of 2001 to the end of 2004, how many days would have passed?", "role": "user" }, { "content": "Let's write a simple Python program to count the number of days in these 4 years.\n```python\nstart_year = 2001\nend_year = 2004\n\ndays_in_start_...	[ "1827" ]
63	[ { "content": "If Molly and her parents spent most of the day at the beach and were joined by 100 people, but then 40 people left at 5:00, what is the total number of people at the beach if everyone stayed until evening?", "role": "user" }, { "content": "Let's solve this problem using Python's sympy ...	[ { "content": "If Molly and her parents spent most of the day at the beach and were joined by 100 people, but then 40 people left at 5:00, what is the total number of people at the beach if everyone stayed until evening?", "role": "user" }, { "content": "The initial number of people is Molly and her ...	[ "62" ]
120	[ { "content": "What is $\\frac{1}{4}\\%$ of X? Express your answer as a decimal. The answer is 0.3. What is the value of unknown variable X?", "role": "user" }, { "content": "You can just multiply $\\frac{1}{4}\\%$ by $X$ to get the answer $0.3$.\nThis means that $\\frac{1}{4}\\% = \\frac{0.3}{X}$.\n...	[ { "content": "What is $\\frac{1}{4}\\%$ of X? Express your answer as a decimal. The answer is 0.3. What is the value of unknown variable X?", "role": "user" }, { "content": "Let's first check whether 0.3 is the correct answer by plugging X = 1200 and simplifying:\n```python\nfrom sympy import simpli...	[ "1200" ]
10	[ { "content": "A fan can create an airflow of x liters per second. If the fan works for 10 minutes each day, calculate the amount of airflow it will create in one week.\nIf we know the answer to the above question is 42000, what is the value of unknown variable x?", "role": "user" }, { "content": "Le...	[ { "content": "A fan can create an airflow of x liters per second. If the fan works for 10 minutes each day, calculate the amount of airflow it will create in one week.\nIf we know the answer to the above question is 42000, what is the value of unknown variable x?", "role": "user" }, { "content": "Le...	[ "0" ]
58	[ { "content": "Find the value of $x + y + z + w$ if $x$, $y$, $z$, and $w$ are positive integers, $x + y + xy = 76$, $z$ is the greatest prime number less than $20$, and $w$ is the smallest prime number greater than $20$.", "role": "user" }, { "content": "We can easily solve the first equation: $x + ...	[ { "content": "Find the value of $x + y + z + w$ if $x$, $y$, $z$, and $w$ are positive integers, $x + y + xy = 76$, $z$ is the greatest prime number less than $20$, and $w$ is the smallest prime number greater than $20$.", "role": "user" }, { "content": "Let's find the solutions to $x + y + xy = 76$...	[ "51" ]
\sqrt{3}	[ { "content": "Suppose $z$ and $w$ are complex numbers such that\n\\[\|z\| = \|w\| = z \\overline{w} + \\overline{z} w= 1.\\]Find the largest possible value of the real part of $z + w.$", "role": "user" }, { "content": "Let $z = a + bi$ and $w = c + di$, where $a, b, c, d$ are real numbers. Then\n\\[\|z\| ...	[ { "content": "Suppose $z$ and $w$ are complex numbers such that\n\\[\|z\| = \|w\| = z \\overline{w} + \\overline{z} w= 1.\\]Find the largest possible value of the real part of $z + w.$", "role": "user" }, { "content": "Since $\|z\| = \|w\| = 1$ we know that $z = \\cos a + i \\sin a$ and $w = \\cos b + i \\s...	[ "" ]
5	[ { "content": "How many prime numbers with two digits have a ones digit of 1?", "role": "user" }, { "content": "Let's list out all primes up to 100 and count the number of one-digit primes.\n```python\nfrom sympy import prime\n\n# list all primes up to 100\nprimes = [x for x in range(100) if prime(x)...	[ { "content": "How many prime numbers with two digits have a ones digit of 1?", "role": "user" }, { "content": "Let's list out all primes up to 100 and count the number of one-digit primes we find.\n```python\n# prime number generation\ndef is_prime(n):\n if n < 2:\n return False\n for i...	[ "4" ]
8	[ { "content": "Let $a$, $b$, $c$, $m$, $n$, and $p$ be integers with $m$ and $n$ odd, $n < m$, $c$ even, and $p$ a prime number such that $a^2 + b^2 + c^2 + p = m^2 - n^2 + c^2 + p$. Find the largest integer that divides $a^2 + b^2 + c^2 + p$ for any such $m$, $n$, $c$, and $p$.\n$\\textbf{(A)}\\ 2\\qquad \\text...	[ { "content": "Let $a$, $b$, $c$, $m$, $n$, and $p$ be integers with $m$ and $n$ odd, $n < m$, $c$ even, and $p$ a prime number such that $a^2 + b^2 + c^2 + p = m^2 - n^2 + c^2 + p$. Find the largest integer that divides $a^2 + b^2 + c^2 + p$ for any such $m$, $n$, $c$, and $p$.\n$\\textbf{(A)}\\ 2\\qquad \\text...	[ "16" ]
45	[ { "content": "Three faucets fill a 100-gallon tub in 6 minutes. How long, in seconds, does it take six faucets to fill a 25-gallon tub? Assume that all faucets dispense water at the same rate.", "role": "user" }, { "content": "Let's write down the relevant information as a sequence of equations.\n...	[ { "content": "Three faucets fill a 100-gallon tub in 6 minutes. How long, in seconds, does it take six faucets to fill a 25-gallon tub? Assume that all faucets dispense water at the same rate.", "role": "user" }, { "content": "We can compute the rate of water flow and then use it to compute the ti...	[ "15" ]
10	[ { "content": "The average age of the three Wilson children is 7 years. If the two younger children are 4 years old and 7 years old, how many years old is the oldest child?", "role": "user" }, { "content": "To solve this, we can use Python's sympy library.\n```python\nfrom sympy import symbols, Eq, s...	[ { "content": "The average age of the three Wilson children is 7 years. If the two younger children are 4 years old and 7 years old, how many years old is the oldest child?", "role": "user" }, { "content": "Let's find the age of the oldest child using sympy.\n```python\nfrom sympy import symbols, Eq,...	[ "11" ]
\frac{3}{2}	[ { "content": "Find the value(s) of $x$ such that $8xy-12y+2x-3=0$ is true for all values of $y$.", "role": "user" }, { "content": "To solve for $x$ such that $8xy-12y+2x-3=0$ is true for all values of $y$, we can use Python's SymPy to solve for $x$.\n```python\nfrom sympy import symbols, solve\n\nx,...	[ { "content": "Find the value(s) of $x$ such that $8xy-12y+2x-3=0$ is true for all values of $y$.", "role": "user" }, { "content": "Solving for $x$ we get $x = \\frac{12y + 3}{8y + 2}$.\nLet's use sympy to plot this function over the range $y \\in [-5, 5]$.\n```python\nimport sympy as sp\nimport nump...	[ "" ]
34	[ { "content": "If $a \\triangle b = 2a^2 + 4b^2$ for all $a$ and $b$, then what is the value of $3 \\triangle 2$?", "role": "user" }, { "content": "You're just being asked to evaluate $3\\triangle 2$. Since we know the formula for the values of $a$ and $b$, let's plug in $3$ and $2$.\n```python\ndef ...	[ { "content": "If $a \\triangle b = 2a^2 + 4b^2$ for all $a$ and $b$, then what is the value of $3 \\triangle 2$?", "role": "user" }, { "content": "I am not sure what operation $\\triangle$ is. So let's assume it is defined like this:\n```python\ndef my_triangle(a, b):\n return 2 * a ** 2 + 4 * b ...	[ "" ]
50	[ { "content": "When Jo calculates the sum of all whole numbers from 1 through 100, and Kate also tallies up the first 100 whole numbers, but rounds each number to the closest ten before summing (with 5 rounding up), what is the difference in their totals?", "role": "user" }, { "content": "Let's write...	[ { "content": "When Jo calculates the sum of all whole numbers from 1 through 100, and Kate also tallies up the first 100 whole numbers, but rounds each number to the closest ten before summing (with 5 rounding up), what is the difference in their totals?", "role": "user" }, { "content": "First, let'...	[ "500" ]
7	[ { "content": "Find the number that when added to the numerator and denominator of the fraction $\\frac{3}{5}$ will make it equal to $\\frac{5}{6}$. What is this number?", "role": "user" }, { "content": "Let's use sympy to solve this:\n```python\nfrom sympy import *\n\nx = Symbol('x')\n\neq = (3+x)/(...	[ { "content": "Find the number that when added to the numerator and denominator of the fraction $\\frac{3}{5}$ will make it equal to $\\frac{5}{6}$. What is this number?", "role": "user" }, { "content": "Let $n$ be the number that when added to the numerator and denominator of the fraction $\\frac{3}...	[ "1.16666666666667" ]
19	[ { "content": "The average of three positive integers is 26, with the central number being 27. Knowing that the largest of these numbers is 5 greater than the median, determine the smallest integer in the sequence.", "role": "user" }, { "content": "Let's write down an equation for the three positive ...	[ { "content": "The average of three positive integers is 26, with the central number being 27. Knowing that the largest of these numbers is 5 greater than the median, determine the smallest integer in the sequence.", "role": "user" }, { "content": "Since the number $x$ is $5$ greater than the median,...	[ "21" ]
\frac{1}{16}	[ { "content": "What is the value of $\\sin 6^\\circ \\sin 42^\\circ \\sin 66^\\circ \\sin 78^\\circ$?", "role": "user" }, { "content": "Let's use sympy to get a symbolic solution to this problem.\n```python\nfrom sympy import pi, sin, cos\n\n# convert degrees to radians\ndef deg_to_rad(x):\n retur...	[ { "content": "What is the value of $\\sin 6^\\circ \\sin 42^\\circ \\sin 66^\\circ \\sin 78^\\circ$?", "role": "user" }, { "content": "Let's write a code to calculate the product.\nWe can use the sin(2x) = 2sin(x)cos(x) identity to simplify the expression:\n```python\nfrom sympy import *\n\n# Define...	[ "-0.00349479325338935" ]
360	[ { "content": "Stan drove 300 miles in 5 hours, 20 minutes. Next, he drove X miles in 6 hours, 40 minutes. What was Stan's average speed in miles per hour for the total trip?\nIf we know the answer to the above question is 55, what is the value of unknown variable X?", "role": "user" }, { "content": ...	[ { "content": "Stan drove 300 miles in 5 hours, 20 minutes. Next, he drove X miles in 6 hours, 40 minutes. What was Stan's average speed in miles per hour for the total trip?\nIf we know the answer to the above question is 55, what is the value of unknown variable X?", "role": "user" }, { "content": ...	[ "57.5" ]
343	[ { "content": "Calculate the volume of a cube that has a surface area of 294 square inches.", "role": "user" }, { "content": "To calculate the volume of the cube, we can just compute $s^3$.\n```python\nfrom sympy import *\n\n# Given surface area\nsurface_area = 294\n\n# Given that the surface area is...	[ { "content": "Calculate the volume of a cube that has a surface area of 294 square inches.", "role": "user" }, { "content": "A cube has 6 faces, so its surface area is $6 \\times a^2$.\nUsing sympy we can write an equation and solve for $a$.\n```python\nimport sympy as sp\n\n# define the symbols\na ...	[ "7" ]
12	[ { "content": "Adam and Tom are brothers. Adam is 8 years old and Tom is x years old. Their combined age will be 44 years old in 12 years. 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...	[ { "content": "Adam and Tom are brothers. Adam is 8 years old and Tom is x years old. Their combined age will be 44 years old in 12 years. What is the value of unknown variable x?", "role": "user" }, { "content": "Let's solve this problem using Python code.\n```python\nage_adam = 8\nage_adam_in_12_ye...	[ "8" ]
3	[ { "content": "Determine the maximum value possible for the expression $x+\\frac{1}{x}$ provided that $7=x^2+\\frac{1}{x^2}$.", "role": "user" }, { "content": "Let's write down the equation $7=x^2+\\frac{1}{x^2}$ using sympy.\n```python\nimport sympy as sp\n\n# define the symbols\nx = sp.symbols('x')...	[ { "content": "Determine the maximum value possible for the expression $x+\\frac{1}{x}$ provided that $7=x^2+\\frac{1}{x^2}$.", "role": "user" }, { "content": "We can use sympy library to solve this:\n```python\nfrom sympy import \n\nx = Symbol('x')\n\neq = Eq(x2 + 1/x*2, 7)\n\nsolution = solve(e...	[ "\\sqrt{5}+\\frac{3}{2}" ]
20	[ { "content": "Given that $f(x) = 3x^2-2$ and we have another function $g(f(x))$ which equals $x^2 + x +1$, evaluate and sum up all the possible values for $g(25)$.", "role": "user" }, { "content": "Let's write down an equation for $g(f(x))$, solve it for $g(x)$ and plug in the value 25.\n```python\n...	[ { "content": "Given that $f(x) = 3x^2-2$ and we have another function $g(f(x))$ which equals $x^2 + x +1$, evaluate and sum up all the possible values for $g(25)$.", "role": "user" }, { "content": "Since $g(f(x)) = x^2+x+1$, we can use a Python's sympy library to get the possible values of x:\n```py...	[ "0" ]
28	[ { "content": "If there exists an integer $p$ in the range $0 < 4p < 30$, can you determine the sum of all the distinct integer values that $p$ could take?", "role": "user" }, { "content": "We will use the 'for' loop to find all the numbers in the range given by $0 < 4p < 30$, exclude $p=0$ since it ...	[ { "content": "If there exists an integer $p$ in the range $0 < 4p < 30$, can you determine the sum of all the distinct integer values that $p$ could take?", "role": "user" }, { "content": "You're looking for the range of $p$ satisfying $0 < 4p < 30$. We can solve this inequality by dividing by $4$.\...	[ "" ]
20	[ { "content": "Mary is going on a business trip. It takes 10 minutes for her Uber to get to her house and 5 times longer to get to the airport. It takes 15 minutes to check her bag and three times as long to get through security. Then she has to wait for x minutes for her flight to start boarding and twice as lo...	[ { "content": "Mary is going on a business trip. It takes 10 minutes for her Uber to get to her house and 5 times longer to get to the airport. It takes 15 minutes to check her bag and three times as long to get through security. Then she has to wait for x minutes for her flight to start boarding and twice as lo...	[ "15" ]
2304	[ { "content": "There are 192 soaps in a package. They put them in 2 big boxes. If each box contains 6 packages, how much soap do the 2 boxes contain in total?", "role": "user" }, { "content": "Let's solve this problem using Python code.\n```python\nsoaps_in_package = 192\npackages_in_big_box = 6\nbig...	[ { "content": "There are 192 soaps in a package. They put them in 2 big boxes. If each box contains 6 packages, how much soap do the 2 boxes contain in total?", "role": "user" }, { "content": "Let's solve this problem using Python code.\n```python\n# let's denote the amount of soap in each box\namoun...	[ "384" ]
3	[ { "content": "In a school garden, there are flowers in different colors. In total there are 96 flowers of four colors: green, red, blue, and yellow. There are 9 green flowers and x times more red flowers. Blue flowers make up to 50% of the total flower count. There are 12 yellow flowers. What is the value of un...	[ { "content": "In a school garden, there are flowers in different colors. In total there are 96 flowers of four colors: green, red, blue, and yellow. There are 9 green flowers and x times more red flowers. Blue flowers make up to 50% of the total flower count. There are 12 yellow flowers. What is the value of un...	[ "114" ]
4	[ { "content": "At the zoo, there are 5 different types of animals. Seeing each animal type takes around 6 minutes. How much time would it take to see each animal type if the zoo decided to import x new species?\nIf we know the answer to the above question is 54, what is the value of unknown variable x?", "ro...	[ { "content": "At the zoo, there are 5 different types of animals. Seeing each animal type takes around 6 minutes. How much time would it take to see each animal type if the zoo decided to import x new species?\nIf we know the answer to the above question is 54, what is the value of unknown variable x?", "ro...	[ "" ]
12	[ { "content": "Mr. and Mrs. Lopez have two children. When they get into their family car, two people sit in the front, and the other two sit in the back. Either Mr. Lopez or Mrs. Lopez must sit in the driver's seat. How many seating arrangements are possible?", "role": "user" }, { "content": "To c...	[ { "content": "Mr. and Mrs. Lopez have two children. When they get into their family car, two people sit in the front, and the other two sit in the back. Either Mr. Lopez or Mrs. Lopez must sit in the driver's seat. How many seating arrangements are possible?", "role": "user" }, { "content": "The ...	[ "6" ]
10500	[ { "content": "Determine the independent term of $x$ when expanding the binomial $\\left(\\sqrt{x} + \\frac{5}{x}\\right)^9$.", "role": "user" }, { "content": "I will find the answer by expanding the binomial using the binomial theorem.\n```python\nimport sympy\nfrom sympy import expand\n\n# Define x...	[ { "content": "Determine the independent term of $x$ when expanding the binomial $\\left(\\sqrt{x} + \\frac{5}{x}\\right)^9$.", "role": "user" }, { "content": "The independent term comes from the term where the degree of $x$ is 0.\nWhen expanding the binomial, we get a series of terms with different ...	[ "5^9" ]
18	[ { "content": "If a kilogram of pork costs $6 and a kilogram of chicken costs $2 less, what will be the total cost of 3 kilograms of chicken and 1 kilogram of pork?", "role": "user" }, { "content": "Let's solve this problem using Python code.\n```python\nprice_per_kg_pork = 6\nprice_per_kg_chicken = ...	[ { "content": "If a kilogram of pork costs $6 and a kilogram of chicken costs $2 less, what will be the total cost of 3 kilograms of chicken and 1 kilogram of pork?", "role": "user" }, { "content": "Let's solve this problem using Python code.\n```python\npork_per_kilogram = 6\nchicken_per_kilogram = ...	[ "12" ]